Subgroups — D₅₃×#3561 #28291430

Order 13568.

7258 conjugacy classes of subgroups.

The subgroup lattice has 2428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289287	C₂	1	1	yes	maximal, characteristic, complemented
2	#20289286	C₂	1	2	yes	maximal, complemented
3	#20289285	C₂	1	1	yes	maximal, characteristic, complemented
4	#20289284	C₂	1	2	yes	maximal, complemented
5	#20289283	C₂	1	2	yes	maximal, complemented
6	#20289282	C₂	1	2	yes	maximal, complemented
7	#20289281	C₂	1	2	yes	maximal, complemented
8	#20289280	C₂	1	1	yes	maximal, characteristic, complemented
9	#20289279	C₂	1	4	yes	maximal, complemented
10	#20289278	C₂	1	2	yes	maximal, complemented
11	#20289277	C₂	1	2	yes	maximal, complemented
12	#20289276	C₂	1	2	yes	maximal, complemented
13	#20289275	C₂	1	2	yes	maximal, complemented
14	#20289274	C₂	1	2	yes	maximal, complemented
15	#20289273	C₂	1	4	yes	maximal, complemented
16	#563×D₅₃	C₂	1	2	yes	maximal, complemented
17	#562×D₅₃	C₂	1	2	yes	maximal, complemented
18	#556×D₅₃	C₂	1	2	yes	maximal, complemented
19	#551×D₅₃	C₂	1	4	yes	maximal, complemented
20	D₄×Q₈×D₅₃	C₂	1	2	yes	maximal, complemented
21	#548×D₅₃	C₂	1	2	yes	maximal, complemented
22	#546×D₅₃	C₂	1	2	yes	maximal, complemented
23	#543×D₅₃	C₂	1	2	yes	maximal, complemented
24	#542×D₅₃	C₂	1	2	yes	maximal, complemented
25	#542×D₅₃	C₂	1	4	yes	maximal, complemented
26	#538×D₅₃	C₂	1	2	yes	maximal, complemented
27	#536×D₅₃	C₂	1	2	yes	maximal, complemented
28	#533×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
29	#529×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#124×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#3561	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₅₃	C₂²	1	2	yes	—
33	C₂²×Q₈×D₅₃	C₂²	1	1	yes	characteristic
34	C₂²×Q₈×D₅₃	C₂²	1	2	yes	complemented
35	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
36	#16811377	C₂²	1	2	yes	complemented
37	#16811377	C₂²	1	2	yes	complemented
38	#16811376	C₂²	1	4	yes	complemented
39	#16811375	C₂²	1	4	yes	complemented
40	#16811375	C₂²	1	4	yes	complemented
41	#16811374	C₂²	1	4	yes	complemented
42	#16811374	C₂²	1	4	yes	complemented
43	#16811373	C₂²	1	2	yes	complemented
44	#16811372	C₂²	1	4	yes	complemented
45	#16811371	C₂²	1	2	yes	complemented
46	#16811370	C₂²	1	4	yes	complemented
47	#16811370	C₂²	1	4	yes	complemented
48	#16811369	C₂²	1	4	yes	complemented
49	#16811369	C₂²	1	4	yes	complemented
50	#16811368	C₂²	1	4	yes	complemented
51	#16811368	C₂²	1	4	yes	complemented
52	#16811367	C₂²	1	2	yes	complemented
53	#16811367	C₂²	1	2	yes	complemented
54	#16811347	C₂²	1	2	yes	complemented
55	#16811346	C₂²	1	2	yes	complemented
56	#16811345	C₂²	1	2	yes	complemented
57	#16811345	C₂²	1	2	yes	complemented
58	#16811344	C₂²	1	4	yes	complemented
59	#16811343	C₂²	1	2	yes	complemented
60	#16811342	C₂²	1	2	yes	complemented
61	#16811342	C₂²	1	2	yes	complemented
62	#16811341	C₂²	1	4	yes	complemented
63	#16811340	C₂²	1	4	yes	complemented
64	#16811340	C₂²	1	4	yes	complemented
65	#16811304	C₂²	1	4	yes	complemented
66	#16811303	C₂²	1	4	yes	complemented
67	#16811302	C₂²	1	4	yes	complemented
68	#16811302	C₂²	1	4	yes	complemented
69	#16811301	C₂²	1	4	yes	complemented
70	#16811300	C₂²	1	4	yes	complemented
71	#16811300	C₂²	1	4	yes	complemented
72	#16811299	C₂²	1	4	yes	complemented
73	#16811299	C₂²	1	4	yes	complemented
74	#16811298	C₂²	1	4	yes	complemented
75	#16811298	C₂²	1	4	yes	complemented
76	#16811297	C₂²	1	4	yes	complemented
77	#16811297	C₂²	1	4	yes	complemented
78	#16811296	C₂²	1	4	yes	complemented
79	#16811296	C₂²	1	4	yes	complemented
80	Q₈×D₂₁₂	C₂²	1	2	yes	complemented
81	D₄×Dic₁₀₆	C₂²	1	2	yes	complemented
82	D₄×Dic₁₀₆	C₂²	1	4	yes	complemented
83	#16811288	C₂²	1	4	yes	complemented
84	#16811288	C₂²	1	2	yes	complemented
85	Q₈×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
86	Q₈×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
87	#16811286	C₂²	1	2	yes	complemented
88	#16811286	C₂²	1	4	yes	complemented
89	#16811286	C₂²	1	2	yes	complemented
90	#16811286	C₂²	1	4	yes	complemented
91	#16811285	C₂²	1	2	yes	complemented
92	#16811284	C₂²	1	2	yes	complemented
93	#16811283	C₂²	1	4	yes	complemented
94	#16811283	C₂²	1	2	yes	complemented
95	#16811282	C₂²	1	4	yes	complemented
96	#16811282	C₂²	1	2	yes	complemented
97	#16811281	C₂²	1	2	yes	complemented
98	#16811281	C₂²	1	4	yes	complemented
99	#16811280	C₂²	1	2	yes	complemented
100	#16811279	C₂²	1	2	yes	complemented
101	#16811279	C₂²	1	4	yes	complemented
102	#16811270	C₂²	1	2	yes	complemented
103	#16811269	C₂²	1	2	yes	complemented
104	#16811268	C₂²	1	2	yes	complemented
105	#16811267	C₂²	1	2	yes	complemented
106	#16811266	C₂²	1	2	yes	complemented
107	#16811265	C₂²	1	4	yes	complemented
108	#16811264	C₂²	1	2	yes	complemented
109	#16811263	C₂²	1	4	yes	complemented
110	#16811262	C₂²	1	4	yes	complemented
111	#16811261	C₂²	1	2	yes	complemented
112	#16811260	C₂²	1	4	yes	complemented
113	#16811249	C₂²	1	4	yes	complemented
114	#16811249	C₂²	1	2	yes	complemented
115	#16811248	C₂²	1	2	yes	complemented
116	#16811248	C₂²	1	4	yes	complemented
117	#16811248	C₂²	1	2	yes	complemented
118	#16811248	C₂²	1	4	yes	complemented
119	#16811248	C₂²	1	4	yes	complemented
120	#16811248	C₂²	1	4	yes	complemented
121	#16811248	C₂²	1	4	yes	complemented
122	#16811247	C₂²	1	2	yes	complemented
123	#16811247	C₂²	1	4	yes	complemented
124	#16811246	C₂²	1	2	yes	complemented
125	#16811246	C₂²	1	4	yes	complemented
126	#16811245	C₂²	1	2	yes	complemented
127	#16811245	C₂²	1	4	yes	complemented
128	#16811244	C₂²	1	2	yes	complemented
129	#16811244	C₂²	1	4	yes	complemented
130	#16811243	C₂²	1	4	yes	complemented
131	#16811243	C₂²	1	4	yes	complemented
132	#16811243	C₂²	1	4	yes	complemented
133	#16811242	C₂²	1	2	yes	complemented
134	#16811242	C₂²	1	4	yes	complemented
135	#16811241	C₂²	1	4	yes	complemented
136	#16811241	C₂²	1	4	yes	complemented
137	#16811241	C₂²	1	4	yes	complemented
138	#16811240	C₂²	1	2	yes	complemented
139	#16811240	C₂²	1	4	yes	complemented
140	#16811239	C₂²	1	4	yes	complemented
141	#16811239	C₂²	1	4	yes	complemented
142	#16811239	C₂²	1	4	yes	complemented
143	#16811238	C₂²	1	2	yes	complemented
144	#16811238	C₂²	1	4	yes	complemented
145	#16811237	C₂²	1	4	yes	complemented
146	#16811237	C₂²	1	4	yes	complemented
147	#16811237	C₂²	1	4	yes	complemented
148	#16811213	C₂²	1	2	yes	complemented
149	#16811212	C₂²	1	4	yes	complemented
150	#16811211	C₂²	1	2	yes	complemented
151	#16811210	C₂²	1	2	yes	complemented
152	#16811209	C₂²	1	4	yes	complemented
153	#16811208	C₂²	1	4	yes	complemented
154	#16811207	C₂²	1	4	yes	complemented
155	#16811206	C₂²	1	4	yes	complemented
156	#16811205	C₂²	1	4	yes	complemented
157	#16811199	C₂²	1	2	yes	complemented
158	#16811198	C₂²	1	2	yes	complemented
159	#16811198	C₂²	1	2	yes	complemented
160	#16811197	C₂²	1	2	yes	complemented
161	#16811196	C₂²	1	4	yes	complemented
162	#16811196	C₂²	1	4	yes	complemented
163	#16811195	C₂²	1	4	yes	complemented
164	#16811195	C₂²	1	4	yes	complemented
165	#16811194	C₂²	1	2	yes	complemented
166	#16811193	C₂²	1	2	yes	complemented
167	#16811193	C₂²	1	2	yes	complemented
168	#16811180	C₂²	1	1	yes	characteristic, complemented
169	#16811179	C₂²	1	2	yes	complemented
170	#16811178	C₂²	1	1	yes	characteristic, complemented
171	#16811178	C₂²	1	1	yes	characteristic, complemented
172	#16811177	C₂²	1	2	yes	complemented
173	#16811177	C₂²	1	2	yes	complemented
174	#16811176	C₂²	1	2	yes	complemented
175	#16811175	C₂²	1	2	yes	complemented
176	#16811175	C₂²	1	2	yes	complemented
177	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
178	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
179	C₄⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
180	C₄⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
181	#16811160	C₂²	1	1	yes	characteristic, complemented
182	#16811159	C₂²	1	1	yes	characteristic, complemented
183	#16811158	C₂²	1	1	yes	characteristic, complemented
184	#16811157	C₂²	1	1	yes	characteristic, complemented
185	#16811156	C₂²	1	2	yes	complemented
186	#16811155	C₂²	1	1	yes	characteristic, complemented
187	#16811154	C₂²	1	1	yes	characteristic, complemented
188	#16811153	C₂²	1	2	yes	complemented
189	#16811152	C₂²	1	1	yes	characteristic, complemented
190	#16811151	C₂²	1	2	yes	complemented
191	#16811150	C₂²	1	2	yes	complemented
192	#126×D₅₃	C₂²	1	4	yes	complemented
193	#126×D₅₃	C₂²	1	4	yes	complemented
194	#126×D₅₃	C₂²	1	4	yes	complemented
195	#126×D₅₃	C₂²	1	2	yes	complemented
196	#125×D₅₃	C₂²	1	2	yes	complemented
197	#125×D₅₃	C₂²	1	1	yes	characteristic, complemented
198	C₂×#13133206	C₂²	1	1	yes	characteristic, complemented
199	C₂×#13133205	C₂²	1	1	yes	characteristic, complemented
200	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
201	C₂×#13133203	C₂²	1	2	yes	complemented
202	C₂×#13133203	C₂²	1	2	yes	complemented
203	#124×D₅₃	C₂²	1	2	yes	—
204	#124×D₅₃	C₂²	1	2	yes	—
205	#124×D₅₃	C₂²	1	2	yes	—
206	#124×D₅₃	C₂²	1	2	yes	—
207	#124×D₅₃	C₂²	1	2	yes	—
208	#124×D₅₃	C₂²	1	2	yes	complemented
209	#124×D₅₃	C₂²	1	2	yes	complemented
210	#124×D₅₃	C₂²	1	2	yes	complemented
211	#124×D₅₃	C₂²	1	2	yes	complemented
212	#124×D₅₃	C₂²	1	4	yes	complemented
213	#124×D₅₃	C₂²	1	1	yes	characteristic, complemented
214	#124×D₅₃	C₂²	1	4	yes	complemented
215	#123×D₅₃	C₂²	1	4	yes	—
216	#123×D₅₃	C₂²	1	2	yes	—
217	#123×D₅₃	C₂²	1	4	yes	complemented
218	#123×D₅₃	C₂²	1	4	yes	complemented
219	#123×D₅₃	C₂²	1	4	yes	complemented
220	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	—
221	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	—
222	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
223	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	—
224	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
225	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
226	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
227	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
228	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
229	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
230	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
231	#121×D₅₃	C₂²	1	1	yes	characteristic
232	#121×D₅₃	C₂²	1	4	yes	—
233	#121×D₅₃	C₂²	1	2	yes	—
234	#121×D₅₃	C₂²	1	4	yes	complemented
235	#120×D₅₃	C₂²	1	4	yes	—
236	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
237	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
238	C₄×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
239	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
240	C₄×D₄×D₅₃	C₂²	1	2	yes	—
241	C₄×D₄×D₅₃	C₂²	1	4	yes	—
242	C₄×D₄×D₅₃	C₂²	1	2	yes	—
243	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
244	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
245	#117×D₅₃	C₂²	1	2	yes	—
246	#117×D₅₃	C₂²	1	4	yes	complemented
247	#117×D₅₃	C₂²	1	2	yes	complemented
248	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	—
249	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	—
250	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	—
251	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic
252	C₅₃×#563	C₂²	1	2	yes	complemented
253	C₅₃×#562	C₂²	1	2	yes	complemented
254	C₅₃×#556	C₂²	1	2	yes	complemented
255	C₅₃×#551	C₂²	1	4	yes	complemented
256	D₄×Q₈×C₅₃	C₂²	1	2	yes	complemented
257	C₅₃×#548	C₂²	1	2	yes	complemented
258	C₅₃×#546	C₂²	1	2	yes	complemented
259	C₅₃×#543	C₂²	1	2	yes	complemented
260	C₅₃×#542	C₂²	1	2	yes	complemented
261	C₅₃×#542	C₂²	1	4	yes	complemented
262	C₅₃×#538	C₂²	1	2	yes	complemented
263	C₅₃×#536	C₂²	1	2	yes	complemented
264	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
265	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
266	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic, complemented
267	C₂⁴×D₅₃	C₂³	1	2	yes	—
268	C₂×#11719949	C₂³	1	2	yes	—
269	C₂×#11719945	C₂³	1	4	yes	—
270	C₂×#11719945	C₂³	1	2	yes	—
271	C₂×#11719947	C₂³	1	2	yes	—
272	C₂×#11719947	C₂³	1	4	yes	—
273	#41×D₅₃	—	4	8	no	—
274	C₂²×Dic₁₀₆	C₂³	1	2	yes	—
275	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
276	C₂²×Dic₁₀₆	C₂³	1	2	yes	complemented
277	C₂²×Dic₁₀₆	C₂³	1	4	yes	complemented
278	C₂×Q₈×D₅₃	—	4	4	no	—
279	C₂×Q₈×D₅₃	—	4	8	no	—
280	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
281	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
282	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
283	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
284	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
285	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
286	C₂×Q₈×D₅₃	C₂³	1	4	yes	—
287	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
288	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
289	C₂×Q₈×D₅₃	C₂³	1	4	yes	complemented
290	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
291	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
292	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
293	C₂×D₄×D₅₃	—	4	4	no	—
294	C₂×D₄×D₅₃	C₂³	1	2	yes	—
295	C₂×D₄×D₅₃	C₂³	1	2	yes	—
296	C₂×D₄×D₅₃	C₂³	1	2	yes	—
297	C₂×D₄×D₅₃	C₂³	1	2	yes	—
298	C₂×D₄×D₅₃	C₂³	1	4	yes	—
299	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
300	C₂×D₄×D₅₃	C₂³	1	4	yes	—
301	C₂×D₄×D₅₃	C₂³	1	2	yes	—
302	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
303	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
304	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
305	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
306	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
307	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
308	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
309	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
310	#13133217	C₂³	1	2	yes	complemented
311	#13133217	C₂³	1	4	yes	complemented
312	#13133217	C₂³	1	1	yes	characteristic, complemented
313	#13133217	C₂³	1	1	yes	characteristic, complemented
314	#13133216	C₂³	1	4	yes	complemented
315	#13133216	C₂³	1	4	yes	complemented
316	#13133216	C₂³	1	4	yes	complemented
317	#13133216	C₂³	1	4	yes	complemented
318	#13133216	C₂³	1	4	yes	complemented
319	#13133216	C₂³	1	4	yes	complemented
320	#13133216	C₂³	1	2	yes	complemented
321	#13133216	C₂³	1	2	yes	complemented
322	#13133216	C₂³	1	2	yes	complemented
323	#13133216	C₂³	1	2	yes	complemented
324	#13133215	C₂³	1	2	yes	complemented
325	#13133215	C₂³	1	2	yes	complemented
326	#13133215	C₂³	1	4	yes	complemented
327	#13133215	C₂³	1	4	yes	complemented
328	#13133215	C₂³	1	2	yes	complemented
329	#13133215	C₂³	1	2	yes	complemented
330	#13133212	C₂³	1	4	yes	complemented
331	#13133212	C₂³	1	4	yes	complemented
332	#13133212	C₂³	1	4	yes	complemented
333	#13133212	C₂³	1	4	yes	complemented
334	#13133212	C₂³	1	4	yes	complemented
335	#13133212	C₂³	1	4	yes	complemented
336	#13133212	C₂³	1	4	yes	complemented
337	#13133212	C₂³	1	4	yes	complemented
338	#13133212	C₂³	1	4	yes	complemented
339	#13133212	C₂³	1	2	yes	complemented
340	#13133212	C₂³	1	2	yes	complemented
341	#13133212	C₂³	1	2	yes	complemented
342	#13133211	C₂³	1	4	yes	complemented
343	#13133211	C₂³	1	4	yes	complemented
344	#13133211	C₂³	1	4	yes	complemented
345	#13133211	C₂³	1	2	yes	complemented
346	#13133210	C₂³	1	4	yes	complemented
347	#13133210	C₂³	1	4	yes	complemented
348	#13133210	C₂³	1	4	yes	complemented
349	#13133210	C₂³	1	4	yes	complemented
350	#13133210	C₂³	1	4	yes	complemented
351	#13133210	C₂³	1	4	yes	complemented
352	#13133210	C₂³	1	4	yes	complemented
353	#13133210	C₂³	1	4	yes	complemented
354	#13133210	C₂³	1	4	yes	complemented
355	#13133210	C₂³	1	2	yes	complemented
356	#13133210	C₂³	1	2	yes	complemented
357	#13133210	C₂³	1	2	yes	complemented
358	#13133209	C₂³	1	2	yes	complemented
359	#13133209	C₂³	1	1	yes	characteristic, complemented
360	#13133208	C₂³	1	2	yes	complemented
361	#13133208	C₂³	1	2	yes	complemented
362	#13133208	C₂³	1	1	yes	characteristic, complemented
363	#13133208	C₂³	1	1	yes	characteristic, complemented
364	#13133207	C₂³	1	4	yes	complemented
365	#13133207	C₂³	1	4	yes	complemented
366	#13133207	C₂³	1	2	yes	complemented
367	#13133207	C₂³	1	2	yes	complemented
368	#13133206	C₂³	1	2	yes	—
369	#13133206	C₂³	1	2	yes	—
370	#13133206	C₂³	1	2	yes	—
371	#13133206	C₂³	1	2	yes	—
372	#13133206	C₂³	1	2	yes	—
373	#13133206	C₂³	1	4	yes	complemented
374	#13133206	C₂³	1	1	yes	characteristic, complemented
375	#13133206	C₂³	1	4	yes	complemented
376	#13133205	C₂³	1	2	yes	—
377	#13133205	C₂³	1	2	yes	—
378	#13133205	C₂³	1	2	yes	—
379	#13133205	C₂³	1	2	yes	—
380	#13133205	C₂³	1	2	yes	—
381	#13133205	C₂³	1	4	yes	complemented
382	#13133205	C₂³	1	1	yes	characteristic, complemented
383	#13133205	C₂³	1	4	yes	complemented
384	#13133204	C₂³	1	2	yes	—
385	#13133204	C₂³	1	2	yes	—
386	#13133204	C₂³	1	2	yes	—
387	#13133204	C₂³	1	2	yes	—
388	#13133204	C₂³	1	2	yes	—
389	#13133204	C₂³	1	4	yes	complemented
390	#13133204	C₂³	1	1	yes	characteristic, complemented
391	#13133204	C₂³	1	4	yes	complemented
392	#13133203	C₂³	1	4	yes	—
393	#13133203	C₂³	1	4	yes	—
394	#13133203	C₂³	1	4	yes	—
395	#13133203	C₂³	1	4	yes	—
396	#13133203	C₂³	1	4	yes	—
397	#13133203	C₂³	1	4	yes	—
398	#13133203	C₂³	1	4	yes	—
399	#13133203	C₂³	1	4	yes	—
400	#13133203	C₂³	1	4	yes	—
401	#13133203	C₂³	1	4	yes	—
402	#13133203	C₂³	1	4	yes	complemented
403	#13133203	C₂³	1	4	yes	complemented
404	#13133203	C₂³	1	4	yes	complemented
405	#13133203	C₂³	1	4	yes	complemented
406	#13133203	C₂³	1	2	yes	complemented
407	#13133203	C₂³	1	2	yes	complemented
408	#13133203	C₂³	1	4	yes	complemented
409	#13133203	C₂³	1	4	yes	complemented
410	#13133203	C₂³	1	4	yes	complemented
411	#13133203	C₂³	1	4	yes	complemented
412	#13133202	C₂³	1	4	yes	—
413	#13133202	C₂³	1	4	yes	—
414	#13133202	C₂³	1	2	yes	—
415	#13133202	C₂³	1	2	yes	—
416	#13133202	C₂³	1	4	yes	complemented
417	#13133202	C₂³	1	4	yes	complemented
418	#13133202	C₂³	1	4	yes	complemented
419	#13133202	C₂³	1	4	yes	complemented
420	#13133202	C₂³	1	4	yes	complemented
421	#13133202	C₂³	1	4	yes	complemented
422	#13133201	C₂³	1	4	yes	—
423	#13133201	C₂³	1	2	yes	—
424	#13133201	C₂³	1	4	yes	complemented
425	#13133201	C₂³	1	4	yes	complemented
426	#13133201	C₂³	1	4	yes	complemented
427	#13133200	C₂³	1	2	yes	—
428	#13133200	C₂³	1	4	yes	—
429	#13133200	C₂³	1	4	yes	complemented
430	#13133200	C₂³	1	4	yes	complemented
431	#13133200	C₂³	1	4	yes	complemented
432	#13133199	C₂³	1	4	yes	—
433	#13133199	C₂³	1	4	yes	—
434	#13133199	C₂³	1	2	yes	—
435	#13133199	C₂³	1	2	yes	—
436	#13133199	C₂³	1	4	yes	complemented
437	#13133199	C₂³	1	4	yes	complemented
438	#13133199	C₂³	1	4	yes	complemented
439	#13133199	C₂³	1	4	yes	complemented
440	#13133199	C₂³	1	4	yes	complemented
441	#13133199	C₂³	1	4	yes	complemented
442	#13133198	C₂³	1	4	yes	—
443	#13133198	C₂³	1	2	yes	—
444	#13133198	C₂³	1	4	yes	complemented
445	#13133198	C₂³	1	4	yes	complemented
446	#13133198	C₂³	1	4	yes	complemented
447	#13133197	C₂³	1	2	yes	—
448	#13133197	C₂³	1	4	yes	—
449	#13133197	C₂³	1	1	yes	characteristic
450	#13133197	C₂³	1	2	yes	—
451	#13133197	C₂³	1	2	yes	complemented
452	#13133197	C₂³	1	4	yes	complemented
453	#13133197	C₂³	1	4	yes	complemented
454	#13133197	C₂³	1	4	yes	complemented
455	#13133197	C₂³	1	4	yes	complemented
456	#13133197	C₂³	1	4	yes	complemented
457	#13133197	C₂³	1	4	yes	complemented
458	#13133196	C₂³	1	2	yes	—
459	#13133196	C₂³	1	4	yes	—
460	#13133196	C₂³	1	1	yes	characteristic
461	#13133196	C₂³	1	2	yes	—
462	#13133196	C₂³	1	2	yes	complemented
463	#13133196	C₂³	1	4	yes	complemented
464	#13133196	C₂³	1	4	yes	complemented
465	#13133196	C₂³	1	4	yes	complemented
466	#13133196	C₂³	1	4	yes	complemented
467	#13133196	C₂³	1	4	yes	complemented
468	#13133196	C₂³	1	4	yes	complemented
469	#13133195	C₂³	1	4	yes	—
470	#13133195	C₂³	1	4	yes	—
471	#13133195	C₂³	1	4	yes	—
472	#13133195	C₂³	1	2	yes	—
473	#13133195	C₂³	1	4	yes	—
474	#13133195	C₂³	1	4	yes	complemented
475	#13133195	C₂³	1	4	yes	complemented
476	#13133195	C₂³	1	4	yes	complemented
477	#13133195	C₂³	1	4	yes	complemented
478	#13133195	C₂³	1	4	yes	complemented
479	#13133195	C₂³	1	4	yes	complemented
480	#13133195	C₂³	1	4	yes	complemented
481	#13133195	C₂³	1	4	yes	complemented
482	#13133195	C₂³	1	4	yes	complemented
483	#13133195	C₂³	1	4	yes	complemented
484	#13133195	C₂³	1	4	yes	complemented
485	#13133195	C₂³	1	4	yes	complemented
486	#13133195	C₂³	1	4	yes	complemented
487	#13133194	C₂³	1	4	yes	—
488	#13133194	C₂³	1	4	yes	—
489	#13133194	C₂³	1	4	yes	—
490	#13133194	C₂³	1	2	yes	—
491	#13133194	C₂³	1	4	yes	—
492	#13133194	C₂³	1	4	yes	complemented
493	#13133194	C₂³	1	4	yes	complemented
494	#13133194	C₂³	1	4	yes	complemented
495	#13133194	C₂³	1	4	yes	complemented
496	#13133194	C₂³	1	4	yes	complemented
497	#13133194	C₂³	1	4	yes	complemented
498	#13133194	C₂³	1	4	yes	complemented
499	#13133194	C₂³	1	4	yes	complemented
500	#13133194	C₂³	1	4	yes	complemented
501	#13133194	C₂³	1	4	yes	complemented
502	#13133194	C₂³	1	4	yes	complemented
503	#13133194	C₂³	1	4	yes	complemented
504	#13133194	C₂³	1	4	yes	complemented
505	#13133193	C₂³	1	2	yes	—
506	#13133193	C₂³	1	4	yes	—
507	#13133193	C₂³	1	1	yes	characteristic
508	#13133193	C₂³	1	2	yes	—
509	#13133193	C₂³	1	2	yes	complemented
510	#13133193	C₂³	1	4	yes	complemented
511	#13133193	C₂³	1	4	yes	complemented
512	#13133193	C₂³	1	4	yes	complemented
513	#13133193	C₂³	1	4	yes	complemented
514	#13133193	C₂³	1	4	yes	complemented
515	#13133193	C₂³	1	4	yes	complemented
516	#13133192	C₂³	1	4	yes	—
517	#13133192	C₂³	1	2	yes	—
518	#13133192	C₂³	1	1	yes	characteristic
519	#13133192	C₂³	1	4	yes	complemented
520	#13133191	C₂³	1	4	yes	—
521	#13133191	C₂³	1	2	yes	—
522	#13133191	C₂³	1	1	yes	characteristic
523	#13133191	C₂³	1	4	yes	complemented
524	#13133190	C₂³	1	4	yes	—
525	#13133190	C₂³	1	4	yes	—
526	#13133190	C₂³	1	4	yes	—
527	#13133190	C₂³	1	2	yes	—
528	#13133190	C₂³	1	4	yes	complemented
529	#13133190	C₂³	1	4	yes	complemented
530	#13133189	C₂³	1	4	yes	—
531	#13133189	C₂³	1	4	yes	—
532	#13133189	C₂³	1	4	yes	—
533	#13133189	C₂³	1	2	yes	—
534	#13133189	C₂³	1	4	yes	complemented
535	#13133189	C₂³	1	4	yes	complemented
536	#13133188	C₂³	1	2	yes	—
537	#13133188	C₂³	1	4	yes	—
538	#13133188	C₂³	1	1	yes	characteristic
539	#13133188	C₂³	1	4	yes	complemented
540	#13133187	C₂³	1	4	yes	—
541	#13133187	C₂³	1	4	yes	—
542	#13133187	C₂³	1	4	yes	—
543	#13133186	C₂³	1	4	yes	—
544	#13133185	C₂³	1	4	yes	—
545	#13133185	C₂³	1	4	yes	—
546	#13133185	C₂³	1	4	yes	—
547	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
548	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
549	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
550	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
551	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
552	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
553	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
554	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
555	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
556	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
557	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
558	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
559	#13133182	C₂³	1	4	yes	complemented
560	#13133182	C₂³	1	2	yes	complemented
561	#13133182	C₂³	1	4	yes	complemented
562	#13133182	C₂³	1	2	yes	complemented
563	#13133182	C₂³	1	1	yes	characteristic, complemented
564	#13133182	C₂³	1	2	yes	complemented
565	#13133182	C₂³	1	2	yes	complemented
566	#13133182	C₂³	1	4	yes	complemented
567	C₄×D₂₁₂	C₂³	1	2	yes	—
568	C₄×D₂₁₂	C₂³	1	2	yes	—
569	C₄×D₂₁₂	C₂³	1	4	yes	—
570	C₄×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
571	C₄×D₂₁₂	C₂³	1	4	yes	complemented
572	D₄×Dic₅₃	C₂³	1	2	yes	—
573	D₄×Dic₅₃	C₂³	1	4	yes	—
574	D₄×Dic₅₃	C₂³	1	2	yes	—
575	D₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
576	D₄×Dic₅₃	C₂³	1	4	yes	complemented
577	#13133179	C₂³	1	2	yes	—
578	#13133179	C₂³	1	2	yes	—
579	#13133179	C₂³	1	4	yes	—
580	#13133179	C₂³	1	1	yes	characteristic, complemented
581	#13133179	C₂³	1	4	yes	complemented
582	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
583	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
584	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
585	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
586	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
587	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
588	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
589	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
590	#13133177	C₂³	1	4	yes	—
591	#13133177	C₂³	1	4	yes	—
592	#13133177	C₂³	1	4	yes	—
593	#13133177	C₂³	1	2	yes	—
594	#13133177	C₂³	1	2	yes	—
595	#13133177	C₂³	1	2	yes	complemented
596	#13133177	C₂³	1	4	yes	complemented
597	#13133177	C₂³	1	4	yes	complemented
598	#13133176	C₂³	1	2	yes	—
599	#13133176	C₂³	1	4	yes	complemented
600	#13133176	C₂³	1	2	yes	complemented
601	#13133175	C₂³	1	2	yes	—
602	#13133175	C₂³	1	2	yes	—
603	#13133175	C₂³	1	4	yes	complemented
604	#13133175	C₂³	1	4	yes	complemented
605	#13133175	C₂³	1	2	yes	complemented
606	#13133175	C₂³	1	2	yes	complemented
607	#13133174	C₂³	1	4	yes	—
608	#13133174	C₂³	1	4	yes	complemented
609	#13133174	C₂³	1	4	yes	complemented
610	#13133174	C₂³	1	2	yes	complemented
611	#13133174	C₂³	1	2	yes	complemented
612	#13133173	C₂³	1	4	yes	—
613	#13133173	C₂³	1	4	yes	complemented
614	#13133173	C₂³	1	4	yes	complemented
615	#13133173	C₂³	1	2	yes	complemented
616	#13133173	C₂³	1	2	yes	complemented
617	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
618	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
619	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
620	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
621	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
622	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
623	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
624	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
625	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
626	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
627	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
628	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
629	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
630	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
631	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
632	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
633	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	—
634	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
635	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
636	C₂×#11719921	C₂³	1	4	yes	—
637	C₂×#11719921	C₂³	1	4	yes	—
638	C₂×#11719921	C₂³	1	2	yes	—
639	C₂×#11719921	C₂³	1	2	yes	—
640	C₂×#11719921	C₂³	1	2	yes	—
641	C₂×#11719921	C₂³	1	2	yes	—
642	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
643	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
644	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
645	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
646	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
647	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
648	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
649	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
650	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
651	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
652	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
653	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
654	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
655	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
656	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
657	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
658	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
659	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
660	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
661	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
662	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
663	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
664	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
665	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
666	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
667	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
668	C₄²×D₅₃	C₂³	1	1	yes	characteristic
669	C₄²×D₅₃	C₂³	1	1	yes	characteristic
670	C₄²×D₅₃	C₂³	1	1	yes	characteristic
671	C₄²×D₅₃	C₂³	1	1	yes	characteristic
672	C₄²×D₅₃	C₂³	1	1	yes	characteristic
673	C₄²×D₅₃	C₂³	1	1	yes	characteristic
674	C₄²×D₅₃	C₂³	1	1	yes	characteristic
675	C₄²×D₅₃	C₂³	1	1	yes	characteristic
676	C₄²×D₅₃	C₂³	1	4	yes	—
677	C₄²×D₅₃	C₂³	1	2	yes	—
678	C₄²×D₅₃	C₂³	1	4	yes	—
679	C₂×#41×C₅₃	C₂³	1	2	yes	—
680	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
681	C₂²×Q₈×C₅₃	C₂³	1	2	yes	complemented
682	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
683	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
684	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
685	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
686	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
687	#126×C₅₃	C₂³	1	4	yes	complemented
688	#126×C₅₃	C₂³	1	4	yes	complemented
689	#126×C₅₃	C₂³	1	2	yes	complemented
690	#126×C₅₃	C₂³	1	4	yes	complemented
691	#125×C₅₃	C₂³	1	1	yes	characteristic, complemented
692	#125×C₅₃	C₂³	1	2	yes	complemented
693	#124×C₅₃	C₂³	1	2	yes	—
694	#124×C₅₃	C₂³	1	2	yes	—
695	#124×C₅₃	C₂³	1	2	yes	—
696	#124×C₅₃	C₂³	1	2	yes	—
697	#124×C₅₃	C₂³	1	2	yes	—
698	#124×C₅₃	C₂³	1	4	yes	complemented
699	#124×C₅₃	C₂³	1	1	yes	characteristic, complemented
700	#124×C₅₃	C₂³	1	4	yes	complemented
701	#123×C₅₃	C₂³	1	4	yes	—
702	#123×C₅₃	C₂³	1	2	yes	—
703	#123×C₅₃	C₂³	1	4	yes	complemented
704	#123×C₅₃	C₂³	1	4	yes	complemented
705	#123×C₅₃	C₂³	1	4	yes	complemented
706	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
707	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
708	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
709	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
710	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
711	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
712	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
713	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
714	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
715	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
716	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
717	#121×C₅₃	C₂³	1	2	yes	—
718	#121×C₅₃	C₂³	1	1	yes	characteristic
719	#121×C₅₃	C₂³	1	4	yes	—
720	#121×C₅₃	C₂³	1	4	yes	complemented
721	#120×C₅₃	C₂³	1	4	yes	—
722	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
723	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
724	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
725	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
726	C₄×D₄×C₅₃	C₂³	1	2	yes	—
727	C₄×D₄×C₅₃	C₂³	1	2	yes	—
728	C₄×D₄×C₅₃	C₂³	1	4	yes	—
729	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
730	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
731	#117×C₅₃	C₂³	1	2	yes	—
732	#117×C₅₃	C₂³	1	4	yes	complemented
733	#117×C₅₃	C₂³	1	2	yes	complemented
734	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
735	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
736	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
737	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
738	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
739	C₂³×D₅₃	—	2	8	no	—
740	C₂³×D₅₃	—	4	4	no	—
741	C₂³×D₅₃	—	4	4	no	—
742	C₂³×D₅₃	C₂⁴	1	4	yes	—
743	C₂³×D₅₃	C₂⁴	1	2	yes	—
744	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
745	C₂³×D₅₃	C₂⁴	1	4	yes	—
746	C₂³×D₅₃	C₂⁴	1	2	yes	—
747	#41×C₅₃	—	4	4	no	—
748	C₂×Q₈×C₅₃	—	4	2	no	—
749	C₂×Q₈×C₅₃	—	4	4	no	—
750	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
751	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
752	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
753	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
754	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
755	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
756	C₂×D₄×C₅₃	—	4	2	no	—
757	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
758	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
759	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
760	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
761	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
762	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
763	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
764	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
765	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
766	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
767	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
768	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
769	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
770	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
771	C₂×C₂²⋊D₅₃	—	4	4	no	—
772	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
773	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
774	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
775	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
776	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
777	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
778	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
779	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
780	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
781	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
782	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
783	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
784	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
785	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
786	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
787	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
788	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
789	#11719949	—	4	4	no	—
790	Q₈×D₅₃	—	2	8	no	—
791	Q₈×D₅₃	—	2	8	no	—
792	Q₈×D₅₃	—	4	4	no	—
793	Q₈×D₅₃	—	4	8	no	—
794	Q₈×D₅₃	—	4	4	no	—
795	Q₈×D₅₃	—	4	4	no	—
796	Q₈×D₅₃	—	4	4	no	—
797	Q₈×D₅₃	—	4	8	no	—
798	Q₈×D₅₃	—	4	4	no	—
799	Q₈×D₅₃	—	4	2	no	—
800	Q₈×D₅₃	—	4	4	no	—
801	#11719947	—	4	4	no	—
802	#11719947	—	4	8	no	—
803	D₄×D₅₃	—	2	8	no	—
804	D₄×D₅₃	—	2	8	no	—
805	D₄×D₅₃	—	4	4	no	—
806	D₄×D₅₃	—	4	4	no	—
807	D₄×D₅₃	—	4	4	no	—
808	D₄×D₅₃	—	4	8	no	—
809	D₄×D₅₃	—	4	2	no	—
810	D₄×D₅₃	—	4	8	no	—
811	#11719945	—	4	8	no	—
812	#11719945	—	4	4	no	—
813	C₂×D₂₁₂	—	4	2	no	—
814	C₂×D₂₁₂	C₂⁴	1	2	yes	—
815	C₂×D₂₁₂	C₂⁴	1	2	yes	—
816	C₂×D₂₁₂	C₂⁴	1	4	yes	—
817	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
818	C₂×D₂₁₂	C₂⁴	1	4	yes	—
819	C₂×D₂₁₂	C₂⁴	1	2	yes	—
820	C₂×C₄×D₅₃	—	2	4	no	—
821	C₂×C₄×D₅₃	—	2	4	no	—
822	C₂×C₄×D₅₃	—	2	8	no	—
823	C₂×C₄×D₅₃	—	4	8	no	—
824	C₂×C₄×D₅₃	—	4	2	no	—
825	C₂×C₄×D₅₃	—	4	8	no	—
826	C₂×C₄×D₅₃	—	4	4	no	—
827	C₂×C₄×D₅₃	—	4	8	no	—
828	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
829	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
830	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
831	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
832	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
833	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
834	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
835	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
836	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
837	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
838	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
839	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
840	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
841	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
842	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
843	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
844	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
845	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
846	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
847	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
848	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
849	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
850	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
851	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
852	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
853	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
854	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
855	C₂×Dic₁₀₆	—	4	4	no	—
856	C₂×Dic₁₀₆	—	4	8	no	—
857	C₂×Dic₁₀₆	—	4	2	no	—
858	C₂×Dic₁₀₆	—	4	4	no	—
859	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
860	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
861	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
862	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
863	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
864	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
865	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
866	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
867	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
868	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
869	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
870	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
871	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
872	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
873	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
874	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
875	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
876	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
877	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
878	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
879	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
880	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
881	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
882	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
883	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
884	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
885	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
886	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
887	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
888	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
889	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
890	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
891	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
892	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
893	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
894	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
895	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
896	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
897	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
898	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
899	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
900	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
901	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
902	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
903	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
904	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
905	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
906	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
907	C₄²×C₅₃	C₂⁴	1	4	yes	—
908	C₄²×C₅₃	C₂⁴	1	2	yes	—
909	C₄²×C₅₃	C₂⁴	1	4	yes	—
910	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
911	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
912	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
913	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
914	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
915	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
916	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
917	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
918	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
919	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
920	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
921	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
922	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
923	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
924	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
925	#11719921	C₂⁴	1	2	yes	—
926	#11719921	C₂⁴	1	2	yes	—
927	#11719921	C₂⁴	1	4	yes	—
928	#11719921	C₂⁴	1	4	yes	—
929	#11719921	C₂⁴	1	4	yes	—
930	#11719921	C₂⁴	1	4	yes	—
931	#11719921	C₂⁴	1	4	yes	—
932	#11719921	C₂⁴	1	4	yes	—
933	#11719921	C₂⁴	1	4	yes	—
934	#11719921	C₂⁴	1	4	yes	—
935	#11719921	C₂⁴	1	4	yes	—
936	#11719921	C₂⁴	1	4	yes	—
937	#11719921	C₂⁴	1	4	yes	—
938	#11719921	C₂⁴	1	4	yes	—
939	#11719921	C₂⁴	1	4	yes	—
940	#11719921	C₂⁴	1	4	yes	—
941	#11719921	C₂⁴	1	4	yes	—
942	#11719921	C₂⁴	1	4	yes	—
943	#11719921	C₂⁴	1	2	yes	—
944	#11719921	C₂⁴	1	2	yes	—
945	#11719921	C₂⁴	1	2	yes	—
946	#11719921	C₂⁴	1	2	yes	—
947	#11719921	C₂⁴	1	4	yes	—
948	#11719921	C₂⁴	1	4	yes	—
949	#11719921	C₂⁴	1	2	yes	—
950	#11719921	C₂⁴	1	2	yes	—
951	#11719921	C₂⁴	1	4	yes	—
952	#11719921	C₂⁴	1	2	yes	—
953	#11719921	C₂⁴	1	4	yes	—
954	#11719921	C₂⁴	1	2	yes	—
955	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
956	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
957	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
958	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
959	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
960	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
961	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
962	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
963	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
964	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
965	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
966	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
967	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
968	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
969	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
970	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
971	#11719919	C₂⁴	1	4	yes	—
972	#11719919	C₂⁴	1	4	yes	—
973	#11719919	C₂⁴	1	2	yes	—
974	#11719919	C₂⁴	1	2	yes	—
975	#11719919	C₂⁴	1	2	yes	—
976	#11719919	C₂⁴	1	4	yes	—
977	#11719919	C₂⁴	1	2	yes	—
978	#11719919	C₂⁴	1	4	yes	—
979	#11719919	C₂⁴	1	2	yes	—
980	#11719919	C₂⁴	1	2	yes	—
981	#11719919	C₂⁴	1	4	yes	—
982	#11719919	C₂⁴	1	4	yes	—
983	#11719919	C₂⁴	1	4	yes	—
984	#11719919	C₂⁴	1	2	yes	—
985	#11719919	C₂⁴	1	2	yes	—
986	#11719919	C₂⁴	1	4	yes	—
987	#11719919	C₂⁴	1	2	yes	—
988	#11719919	C₂⁴	1	4	yes	—
989	#11719919	C₂⁴	1	4	yes	—
990	#11719919	C₂⁴	1	4	yes	—
991	#11719919	C₂⁴	1	2	yes	—
992	#11719919	C₂⁴	1	4	yes	—
993	#11719919	C₂⁴	1	4	yes	—
994	#11719919	C₂⁴	1	4	yes	—
995	#11719919	C₂⁴	1	4	yes	—
996	#11719919	C₂⁴	1	4	yes	—
997	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
998	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
999	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1000	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1001	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1002	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1003	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1004	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1005	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1006	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1007	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1008	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1009	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1010	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1011	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1012	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1013	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1014	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1015	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1016	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1017	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1018	C₂³×C₅₃	—	2	4	no	—
1019	C₂³×C₅₃	—	4	2	no	—
1020	C₂³×C₅₃	—	4	2	no	—
1021	C₂³×C₅₃	C₂⁵	1	2	yes	—
1022	C₂³×C₅₃	C₂⁵	1	4	yes	—
1023	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1024	C₂²×D₅₃	—	2	2	no	—
1025	C₂²×D₅₃	—	2	2	no	—
1026	C₂²×D₅₃	—	2	4	no	—
1027	C₂²×D₅₃	—	2	4	no	—
1028	C₂²×D₅₃	—	2	8	no	—
1029	C₂²×D₅₃	—	2	4	no	—
1030	C₂²×D₅₃	—	2	8	no	—
1031	C₂²×D₅₃	—	2	8	no	—
1032	C₂²×D₅₃	—	2	4	no	—
1033	C₂²×D₅₃	—	2	8	no	—
1034	C₂²×D₅₃	—	4	2	no	—
1035	C₂²×D₅₃	—	4	4	no	—
1036	C₂²×D₅₃	—	4	4	no	—
1037	C₂²×D₅₃	—	4	2	no	—
1038	C₂²×D₅₃	—	8	16	no	—
1039	C₂²×D₅₃	2₋¹⁺⁴	1	4	yes	—
1040	C₂²×D₅₃	C₂⁵	1	2	yes	—
1041	C₂²×D₅₃	C₂⁵	1	4	yes	—
1042	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1043	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1044	Q₈×C₅₃	—	2	4	no	—
1045	Q₈×C₅₃	—	2	4	no	—
1046	Q₈×C₅₃	—	4	2	no	—
1047	Q₈×C₅₃	—	4	4	no	—
1048	Q₈×C₅₃	—	4	2	no	—
1049	Q₈×C₅₃	—	4	1	no	—
1050	D₄×C₅₃	—	2	4	no	—
1051	D₄×C₅₃	—	2	4	no	—
1052	D₄×C₅₃	—	4	2	no	—
1053	D₄×C₅₃	—	4	4	no	—
1054	D₄×C₅₃	—	4	4	no	—
1055	D₄×C₅₃	—	4	1	no	—
1056	C₂×C₄×C₅₃	—	2	2	no	—
1057	C₂×C₄×C₅₃	—	2	2	no	—
1058	C₂×C₄×C₅₃	—	2	4	no	—
1059	C₂×C₄×C₅₃	—	4	2	no	—
1060	C₂×C₄×C₅₃	—	4	4	no	—
1061	C₂×C₄×C₅₃	—	4	4	no	—
1062	C₂×C₄×C₅₃	—	4	1	no	—
1063	C₂×C₄×C₅₃	—	4	4	no	—
1064	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1065	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1066	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1067	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1068	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1069	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1070	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1071	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1072	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1073	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1074	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1075	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1076	C₂²⋊D₅₃	—	2	4	no	—
1077	C₂²⋊D₅₃	—	2	4	no	—
1078	C₂²⋊D₅₃	—	2	8	no	—
1079	C₂²⋊D₅₃	—	4	4	no	—
1080	C₂²⋊D₅₃	—	4	4	no	—
1081	C₂²⋊D₅₃	—	4	4	no	—
1082	C₂²⋊D₅₃	—	4	4	no	—
1083	C₂²⋊D₅₃	—	4	4	no	—
1084	C₂²⋊D₅₃	—	4	2	no	—
1085	C₂×Dic₅₃	—	2	2	no	—
1086	C₂×Dic₅₃	—	2	4	no	—
1087	C₂×Dic₅₃	—	2	2	no	—
1088	C₂×Dic₅₃	—	4	2	no	—
1089	C₂×Dic₅₃	—	4	4	no	—
1090	C₂×Dic₅₃	—	4	4	no	—
1091	C₂×Dic₅₃	—	4	1	no	—
1092	C₂×Dic₅₃	—	4	4	no	—
1093	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1094	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1095	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1096	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1097	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1098	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1099	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1100	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1101	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1102	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1103	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1104	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1105	D₂₁₂	—	2	4	no	—
1106	D₂₁₂	—	2	4	no	—
1107	D₂₁₂	—	4	2	no	—
1108	D₂₁₂	—	4	4	no	—
1109	D₂₁₂	—	4	4	no	—
1110	D₂₁₂	—	4	1	no	—
1111	C₄×D₅₃	—	2	4	no	—
1112	C₄×D₅₃	—	2	2	no	—
1113	C₄×D₅₃	—	2	8	no	—
1114	C₄×D₅₃	—	2	8	no	—
1115	C₄×D₅₃	—	2	2	no	—
1116	C₄×D₅₃	—	2	2	no	—
1117	C₄×D₅₃	—	2	2	no	—
1118	C₄×D₅₃	—	2	2	no	—
1119	C₄×D₅₃	—	2	4	no	—
1120	C₄×D₅₃	—	2	4	no	—
1121	C₄×D₅₃	—	2	8	no	—
1122	C₄×D₅₃	—	2	2	no	—
1123	C₄×D₅₃	—	2	2	no	—
1124	C₄×D₅₃	—	2	2	no	—
1125	C₄×D₅₃	—	2	4	no	—
1126	C₄×D₅₃	—	2	4	no	—
1127	C₄×D₅₃	—	2	2	no	—
1128	C₄×D₅₃	—	4	1	no	—
1129	C₄×D₅₃	—	4	4	no	—
1130	C₄×D₅₃	—	4	1	no	—
1131	C₄×D₅₃	—	4	4	no	—
1132	C₄×D₅₃	—	4	4	no	—
1133	C₄×D₅₃	—	4	4	no	—
1134	C₄×D₅₃	—	4	4	no	—
1135	C₄×D₅₃	—	4	4	no	—
1136	C₄×D₅₃	—	4	4	no	—
1137	C₄×D₅₃	H(5,𝔽₂)	1	4	yes	—
1138	Dic₁₀₆	—	2	4	no	—
1139	Dic₁₀₆	—	2	4	no	—
1140	Dic₁₀₆	—	2	8	no	—
1141	Dic₁₀₆	—	2	8	no	—
1142	Dic₁₀₆	—	4	2	no	—
1143	Dic₁₀₆	—	4	4	no	—
1144	Dic₁₀₆	—	4	4	no	—
1145	Dic₁₀₆	—	4	4	no	—
1146	Dic₁₀₆	—	4	4	no	—
1147	Dic₁₀₆	—	4	4	no	—
1148	Dic₁₀₆	—	4	1	no	—
1149	Dic₁₀₆	—	4	2	no	—
1150	Dic₁₀₆	—	4	2	no	—
1151	C₂×#3561	—	53	1	no	maximal, Sylow
1152	C₂²×C₅₃	—	2	1	no	—
1153	C₂²×C₅₃	—	2	1	no	—
1154	C₂²×C₅₃	—	2	2	no	—
1155	C₂²×C₅₃	—	2	4	no	—
1156	C₂²×C₅₃	—	2	2	no	—
1157	C₂²×C₅₃	—	2	4	no	—
1158	C₂²×C₅₃	—	2	4	no	—
1159	C₂²×C₅₃	—	2	2	no	—
1160	C₂²×C₅₃	—	8	4	no	—
1161	C₂²×C₅₃	C₂×2₋¹⁺⁴	1	2	yes	—
1162	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1163	C₂×D₅₃	—	2	1	no	—
1164	C₂×D₅₃	—	2	1	no	—
1165	C₂×D₅₃	—	2	8	no	—
1166	C₂×D₅₃	—	2	2	no	—
1167	C₂×D₅₃	—	2	4	no	—
1168	C₂×D₅₃	—	2	2	no	—
1169	C₂×D₅₃	—	2	4	no	—
1170	C₂×D₅₃	—	2	4	no	—
1171	C₂×D₅₃	—	2	2	no	—
1172	C₂×D₅₃	—	4	8	no	—
1173	C₂×D₅₃	—	4	16	no	—
1174	C₂×D₅₃	—	8	8	no	—
1175	C₂×D₅₃	—	8	4	no	—
1176	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1177	C₂×D₅₃	C₂×2₋¹⁺⁴	1	2	yes	—
1178	C₂×D₅₃	C₂×2₋¹⁺⁴	1	2	yes	—
1179	C₂×D₅₃	#585	1	2	yes	—
1180	C₄×C₅₃	—	2	4	no	—
1181	C₄×C₅₃	—	2	4	no	—
1182	C₄×C₅₃	—	2	2	no	—
1183	C₄×C₅₃	—	2	1	no	—
1184	C₄×C₅₃	—	2	1	no	—
1185	C₄×C₅₃	—	2	1	no	—
1186	C₄×C₅₃	—	2	2	no	—
1187	C₄×C₅₃	—	2	1	no	—
1188	C₄×C₅₃	—	2	2	no	—
1189	C₄×C₅₃	—	2	4	no	—
1190	C₄×C₅₃	—	2	1	no	—
1191	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1192	Dic₅₃	—	2	4	no	—
1193	Dic₅₃	—	2	4	no	—
1194	Dic₅₃	—	2	2	no	—
1195	Dic₅₃	—	2	1	no	—
1196	Dic₅₃	—	2	1	no	—
1197	Dic₅₃	—	2	1	no	—
1198	Dic₅₃	—	2	2	no	—
1199	Dic₅₃	—	2	1	no	—
1200	Dic₅₃	—	2	2	no	—
1201	Dic₅₃	—	2	4	no	—
1202	Dic₅₃	—	2	1	no	—
1203	Dic₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1204	#3561	—	53	2	no	—
1205	#3561	—	53	2	no	—
1206	#3561	—	53	2	no	—
1207	#3561	—	53	4	no	—
1208	#3561	—	53	2	no	—
1209	#3561	—	53	2	no	—
1210	#3561	—	53	2	no	—
1211	#3561	—	53	2	no	—
1212	#3561	—	53	2	no	—
1213	#3561	—	53	4	no	—
1214	#3561	—	53	2	no	—
1215	#3561	—	53	2	no	—
1216	#3561	—	53	1	no	—
1217	#3561	—	53	1	no	—
1218	#3561	—	53	1	no	—
1219	#3561	D₅₃	1	1	yes	characteristic, direct product factor
1220	C₂×#563	—	53	2	no	—
1221	C₂×#562	—	53	2	no	—
1222	C₂×#556	—	53	2	no	—
1223	C₂×#551	—	53	4	no	—
1224	C₂×D₄×Q₈	—	53	2	no	—
1225	C₂×#548	—	53	2	no	—
1226	C₂×#546	—	53	2	no	—
1227	C₂×#543	—	53	2	no	—
1228	C₂×#542	—	53	2	no	—
1229	C₂×#542	—	53	4	no	—
1230	C₂×#538	—	53	2	no	—
1231	C₂×#536	—	53	2	no	—
1232	C₂×#533	—	53	1	no	—
1233	C₂×#529	—	53	1	no	—
1234	C₂²×#124	—	53	1	no	—
1235	C₂×C₅₃	—	2	2	no	—
1236	C₂×C₅₃	—	4	4	no	—
1237	C₂×C₅₃	—	4	2	no	—
1238	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1239	C₂×C₅₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1240	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1241	D₅₃	—	2	2	no	—
1242	D₅₃	—	4	2	no	—
1243	D₅₃	—	4	4	no	—
1244	D₅₃	#3561	1	4	yes	direct product factor
1245	C₂²×#41	—	53	2	no	—
1246	C₂³×Q₈	—	53	1	no	—
1247	C₂³×Q₈	—	53	2	no	—
1248	C₂³×D₄	—	53	1	no	—
1249	#563	—	53	4	no	—
1250	#563	—	53	4	no	—
1251	#563	—	53	4	no	—
1252	#563	—	53	2	no	—
1253	#563	—	53	2	no	—
1254	#563	—	53	2	no	—
1255	#563	—	53	4	no	—
1256	#563	—	53	4	no	—
1257	#563	—	53	4	no	—
1258	#563	C₂×D₅₃	1	2	yes	complemented
1259	#562	—	53	2	no	—
1260	#562	—	53	2	no	—
1261	#562	—	53	2	no	—
1262	#562	—	53	4	no	—
1263	#562	—	53	4	no	—
1264	#562	—	53	4	no	—
1265	#562	—	53	4	no	—
1266	#562	—	53	4	no	—
1267	#562	—	53	4	no	—
1268	#562	C₂×D₅₃	1	2	yes	complemented
1269	#556	—	53	2	no	—
1270	#556	—	53	4	no	—
1271	#556	—	53	4	no	—
1272	#556	—	53	2	no	—
1273	#556	—	53	2	no	—
1274	#556	—	53	4	no	—
1275	#556	—	53	2	no	—
1276	#556	—	53	2	no	—
1277	#556	—	53	2	no	—
1278	#556	—	53	2	no	—
1279	#556	—	53	4	no	—
1280	#556	C₂×D₅₃	1	2	yes	complemented
1281	#551	—	53	4	no	—
1282	#551	—	53	4	no	—
1283	#551	—	53	4	no	—
1284	#551	—	53	4	no	—
1285	#551	—	53	4	no	—
1286	#551	—	53	4	no	—
1287	#551	—	53	4	no	—
1288	#551	—	53	4	no	—
1289	#551	—	53	4	no	—
1290	#551	—	53	4	no	—
1291	#551	—	53	4	no	—
1292	#551	—	53	4	no	—
1293	#551	—	53	4	no	—
1294	#551	—	53	4	no	—
1295	#551	—	53	4	no	—
1296	#551	C₂×D₅₃	1	4	yes	complemented
1297	D₄×Q₈	—	53	2	no	—
1298	D₄×Q₈	—	53	2	no	—
1299	D₄×Q₈	—	53	4	no	—
1300	D₄×Q₈	—	53	2	no	—
1301	D₄×Q₈	—	53	2	no	—
1302	D₄×Q₈	—	53	4	no	—
1303	D₄×Q₈	—	53	2	no	—
1304	D₄×Q₈	—	53	4	no	—
1305	D₄×Q₈	—	53	2	no	—
1306	D₄×Q₈	—	53	4	no	—
1307	D₄×Q₈	—	53	2	no	—
1308	D₄×Q₈	C₂×D₅₃	1	2	yes	complemented
1309	#548	—	53	2	no	—
1310	#548	—	53	2	no	—
1311	#548	—	53	2	no	—
1312	#548	—	53	4	no	—
1313	#548	—	53	2	no	—
1314	#548	—	53	4	no	—
1315	#548	—	53	2	no	—
1316	#548	—	53	4	no	—
1317	#548	—	53	2	no	—
1318	#548	—	53	4	no	—
1319	#548	—	53	2	no	—
1320	#548	C₂×D₅₃	1	2	yes	complemented
1321	#546	—	53	2	no	—
1322	#546	—	53	2	no	—
1323	#546	—	53	2	no	—
1324	#546	—	53	4	no	—
1325	#546	—	53	2	no	—
1326	#546	—	53	2	no	—
1327	#546	—	53	4	no	—
1328	#546	—	53	4	no	—
1329	#546	—	53	2	no	—
1330	#546	—	53	2	no	—
1331	#546	—	53	4	no	—
1332	#546	C₂×D₅₃	1	2	yes	complemented
1333	#543	—	53	4	no	—
1334	#543	—	53	2	no	—
1335	#543	—	53	2	no	—
1336	#543	—	53	4	no	—
1337	#543	—	53	4	no	—
1338	#543	—	53	4	no	—
1339	#543	—	53	4	no	—
1340	#543	—	53	4	no	—
1341	#543	—	53	2	no	—
1342	#543	C₂×D₅₃	1	2	yes	complemented
1343	#542	—	53	2	no	—
1344	#542	—	53	4	no	—
1345	#542	—	53	4	no	—
1346	#542	—	53	4	no	—
1347	#542	—	53	4	no	—
1348	#542	—	53	4	no	—
1349	#542	—	53	2	no	—
1350	#542	—	53	4	no	—
1351	#542	—	53	4	no	—
1352	#542	—	53	4	no	—
1353	#542	—	53	4	no	—
1354	#542	—	53	4	no	—
1355	#542	—	53	4	no	—
1356	#542	—	53	4	no	—
1357	#542	—	53	4	no	—
1358	#542	—	53	4	no	—
1359	#542	—	53	2	no	—
1360	#542	—	53	4	no	—
1361	#542	—	53	2	no	—
1362	#542	—	53	4	no	—
1363	#542	—	53	2	no	—
1364	#542	—	53	4	no	—
1365	#542	—	53	2	no	—
1366	#542	—	53	4	no	—
1367	#542	—	53	2	no	—
1368	#542	—	53	4	no	—
1369	#542	C₂×D₅₃	1	2	yes	complemented
1370	#542	C₂×D₅₃	1	4	yes	complemented
1371	#538	—	53	4	no	—
1372	#538	—	53	4	no	—
1373	#538	—	53	4	no	—
1374	#538	—	53	2	no	—
1375	#538	—	53	2	no	—
1376	#538	—	53	4	no	—
1377	#538	—	53	4	no	—
1378	#538	—	53	4	no	—
1379	#538	—	53	2	no	—
1380	#538	C₂×D₅₃	1	2	yes	complemented
1381	#536	—	53	2	no	—
1382	#536	—	53	2	no	—
1383	#536	—	53	2	no	—
1384	#536	—	53	2	no	—
1385	#536	—	53	2	no	—
1386	#536	—	53	2	no	—
1387	#536	—	53	4	no	—
1388	#536	—	53	4	no	—
1389	#536	—	53	4	no	—
1390	#536	—	53	4	no	—
1391	#536	—	53	2	no	—
1392	#536	C₂×D₅₃	1	2	yes	complemented
1393	#533	—	53	1	no	—
1394	#533	—	53	1	no	—
1395	#533	—	53	2	no	—
1396	#533	—	53	2	no	—
1397	#533	—	53	2	no	—
1398	#533	—	53	2	no	—
1399	#533	—	53	2	no	—
1400	#533	—	53	2	no	—
1401	#533	—	53	1	no	—
1402	#533	C₂×D₅₃	1	1	yes	characteristic, complemented
1403	C₂×C₄⋊Q₈	—	53	1	no	—
1404	C₂×C₄⋊Q₈	—	53	1	no	—
1405	C₂×C₄⋊Q₈	—	53	2	no	—
1406	C₂×C₄⋊Q₈	—	53	4	no	—
1407	#529	—	53	2	no	—
1408	#529	—	53	1	no	—
1409	#529	—	53	1	no	—
1410	#529	—	53	2	no	—
1411	#529	—	53	1	no	—
1412	#529	—	53	1	no	—
1413	#529	—	53	1	no	—
1414	#529	—	53	2	no	—
1415	#529	—	53	1	no	—
1416	#529	—	53	2	no	—
1417	#529	—	53	1	no	—
1418	#529	C₂×D₅₃	1	1	yes	characteristic, complemented
1419	C₂×#126	—	53	2	no	—
1420	C₂×#126	—	53	4	no	—
1421	C₂×#126	—	53	4	no	—
1422	C₂×#126	—	53	4	no	—
1423	C₂×#125	—	53	1	no	—
1424	C₂×#125	—	53	2	no	—
1425	C₂×#124	—	53	1	no	—
1426	C₂×#124	—	53	1	no	—
1427	C₂×#124	—	53	2	no	—
1428	C₂×#124	—	53	2	no	—
1429	C₂×#124	—	53	2	no	—
1430	C₂×#124	—	53	2	no	—
1431	C₂×#124	—	53	2	no	—
1432	C₂×#124	—	53	2	no	—
1433	C₂×#124	—	53	2	no	—
1434	C₂×#124	—	53	2	no	—
1435	C₂×#124	—	53	2	no	—
1436	C₂×#124	—	53	1	no	—
1437	C₂×#124	—	53	4	no	—
1438	C₂×#124	—	53	4	no	—
1439	C₂×#124	—	53	2	no	—
1440	C₂×#124	—	53	2	no	—
1441	C₂×#124	—	53	1	no	—
1442	C₂×#124	C₂×D₅₃	1	1	yes	characteristic, complemented
1443	C₂×#123	—	53	2	no	—
1444	C₂×#123	—	53	4	no	—
1445	C₂×#123	—	53	4	no	—
1446	C₂×#123	—	53	4	no	—
1447	C₂×#123	—	53	4	no	—
1448	C₂×C₂²⋊Q₈	—	53	1	no	—
1449	C₂×C₂²⋊Q₈	—	53	2	no	—
1450	C₂×C₂²⋊Q₈	—	53	2	no	—
1451	C₂×C₂²⋊Q₈	—	53	4	no	—
1452	C₂×C₂²⋊Q₈	—	53	4	no	—
1453	C₂×C₂²⋊Q₈	—	53	4	no	—
1454	C₂×C₂²⋊Q₈	—	53	4	no	—
1455	C₂×C₂²⋊Q₈	—	53	2	no	—
1456	C₂×C₂²⋊Q₈	—	53	4	no	—
1457	C₂×C₂²⋊Q₈	—	53	4	no	—
1458	C₂×C₂²⋊Q₈	—	53	4	no	—
1459	C₂×#121	—	53	1	no	—
1460	C₂×#121	—	53	2	no	—
1461	C₂×#121	—	53	4	no	—
1462	C₂×#121	—	53	4	no	—
1463	C₂×#120	—	53	4	no	—
1464	C₂×C₄×Q₈	—	53	1	no	—
1465	C₂×C₄×Q₈	—	53	2	no	—
1466	C₂×C₄×Q₈	—	53	2	no	—
1467	C₂×C₄×Q₈	—	53	2	no	—
1468	C₂×C₄×D₄	—	53	2	no	—
1469	C₂×C₄×D₄	—	53	4	no	—
1470	C₂×C₄×D₄	—	53	2	no	—
1471	C₂×C₄×D₄	—	53	1	no	—
1472	C₂×C₄×D₄	—	53	4	no	—
1473	C₂×#117	—	53	2	no	—
1474	C₂×#117	—	53	2	no	—
1475	C₂×#117	—	53	4	no	—
1476	C₂²×C₂²⋊C₄	—	53	2	no	—
1477	C₂²×C₂²⋊C₄	—	53	2	no	—
1478	C₂²×C₂²⋊C₄	—	53	4	no	—
1479	C₂²×C₄²	—	53	1	no	—
1480	C₅₃	C₂×#3561	1	1	yes	characteristic, complemented, Sylow
1481	C₂⁵	—	53	2	no	—
1482	C₂×#41	—	53	2	no	—
1483	C₂×#41	—	53	4	no	—
1484	C₂×#41	—	53	2	no	—
1485	C₂×#41	—	53	4	no	—
1486	C₂×#41	—	53	2	no	—
1487	C₂×#41	—	212	8	no	—
1488	C₂×#41	C₂²×D₅₃	1	2	yes	—
1489	C₂²×Q₈	—	53	2	no	—
1490	C₂²×Q₈	—	53	2	no	—
1491	C₂²×Q₈	—	53	1	no	—
1492	C₂²×Q₈	—	53	2	no	—
1493	C₂²×Q₈	—	53	4	no	—
1494	C₂²×Q₈	—	53	2	no	—
1495	C₂²×Q₈	—	53	2	no	—
1496	C₂²×Q₈	—	53	2	no	—
1497	C₂²×Q₈	—	53	4	no	—
1498	C₂²×Q₈	—	53	2	no	—
1499	C₂²×Q₈	—	53	2	no	—
1500	C₂²×Q₈	—	53	2	no	—
1501	C₂²×Q₈	—	53	1	no	—
1502	C₂²×Q₈	—	53	4	no	—
1503	C₂²×Q₈	—	53	2	no	—
1504	C₂²×Q₈	—	212	4	no	—
1505	C₂²×Q₈	—	212	8	no	—
1506	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1507	C₂²×Q₈	C₂²×D₅₃	1	2	yes	complemented
1508	C₂²×D₄	—	53	2	no	—
1509	C₂²×D₄	—	53	2	no	—
1510	C₂²×D₄	—	53	2	no	—
1511	C₂²×D₄	—	53	4	no	—
1512	C₂²×D₄	—	53	1	no	—
1513	C₂²×D₄	—	53	4	no	—
1514	C₂²×D₄	—	53	2	no	—
1515	C₂²×D₄	—	53	2	no	—
1516	C₂²×D₄	—	53	2	no	—
1517	C₂²×D₄	—	53	1	no	—
1518	C₂²×D₄	—	212	4	no	—
1519	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1520	C₂³×C₄	—	53	1	no	—
1521	C₂³×C₄	—	53	2	no	—
1522	C₂³×C₄	—	53	1	no	—
1523	C₂³×C₄	—	53	2	no	—
1524	C₂³×C₄	—	53	1	no	—
1525	C₂³×C₄	—	53	4	no	—
1526	C₂³×C₄	—	53	4	no	—
1527	C₂³×C₄	—	53	4	no	—
1528	C₄⋊Q₈	—	53	2	no	—
1529	C₄⋊Q₈	—	53	2	no	—
1530	C₄⋊Q₈	—	53	2	no	—
1531	C₄⋊Q₈	—	53	2	no	—
1532	C₄⋊Q₈	—	53	4	no	—
1533	C₄⋊Q₈	—	53	4	no	—
1534	C₄⋊Q₈	—	53	2	no	—
1535	C₄⋊Q₈	—	53	2	no	—
1536	C₄⋊Q₈	—	53	2	no	—
1537	C₄⋊Q₈	—	53	2	no	—
1538	C₄⋊Q₈	—	53	4	no	—
1539	C₄⋊Q₈	—	53	4	no	—
1540	C₄⋊Q₈	—	53	4	no	—
1541	C₄⋊Q₈	—	53	4	no	—
1542	C₄⋊Q₈	—	53	4	no	—
1543	C₄⋊Q₈	—	53	4	no	—
1544	C₄⋊Q₈	—	53	1	no	—
1545	C₄⋊Q₈	—	53	1	no	—
1546	C₄⋊Q₈	—	53	2	no	—
1547	C₄⋊Q₈	—	53	4	no	—
1548	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1549	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1550	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1551	C₄⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1552	#126	—	53	2	no	—
1553	#126	—	53	2	no	—
1554	#126	—	53	2	no	—
1555	#126	—	53	4	no	—
1556	#126	—	53	4	no	—
1557	#126	—	53	4	no	—
1558	#126	—	53	4	no	—
1559	#126	—	53	4	no	—
1560	#126	—	53	4	no	—
1561	#126	—	53	4	no	—
1562	#126	—	53	4	no	—
1563	#126	—	53	4	no	—
1564	#126	—	53	2	no	—
1565	#126	—	53	2	no	—
1566	#126	—	53	2	no	—
1567	#126	—	53	4	no	—
1568	#126	—	53	4	no	—
1569	#126	—	53	4	no	—
1570	#126	—	53	4	no	—
1571	#126	—	53	4	no	—
1572	#126	—	53	4	no	—
1573	#126	—	53	4	no	—
1574	#126	—	53	4	no	—
1575	#126	—	53	4	no	—
1576	#126	—	53	2	no	—
1577	#126	—	53	4	no	—
1578	#126	—	53	4	no	—
1579	#126	—	53	4	no	—
1580	#126	C₂²×D₅₃	1	2	yes	complemented
1581	#126	C₂²×D₅₃	1	4	yes	complemented
1582	#126	C₂²×D₅₃	1	4	yes	complemented
1583	#126	C₂²×D₅₃	1	4	yes	complemented
1584	#125	—	53	2	no	—
1585	#125	—	53	2	no	—
1586	#125	—	53	1	no	—
1587	#125	—	53	1	no	—
1588	#125	—	53	4	no	—
1589	#125	—	53	4	no	—
1590	#125	—	53	2	no	—
1591	#125	—	53	2	no	—
1592	#125	—	53	1	no	—
1593	#125	—	53	2	no	—
1594	#125	C₂²×D₅₃	1	1	yes	characteristic, complemented
1595	#125	C₂²×D₅₃	1	2	yes	complemented
1596	#124	—	53	2	no	—
1597	#124	—	53	2	no	—
1598	#124	—	53	2	no	—
1599	#124	—	53	2	no	—
1600	#124	—	53	1	no	—
1601	#124	—	53	2	no	—
1602	#124	—	53	4	no	—
1603	#124	—	53	4	no	—
1604	#124	—	53	2	no	—
1605	#124	—	53	2	no	—
1606	#124	—	53	2	no	—
1607	#124	—	53	2	no	—
1608	#124	—	53	1	no	—
1609	#124	—	53	2	no	—
1610	#124	—	53	4	no	—
1611	#124	—	53	4	no	—
1612	#124	—	53	4	no	—
1613	#124	—	53	4	no	—
1614	#124	—	53	4	no	—
1615	#124	—	53	4	no	—
1616	#124	—	53	4	no	—
1617	#124	—	53	4	no	—
1618	#124	—	53	4	no	—
1619	#124	—	53	4	no	—
1620	#124	—	53	2	no	—
1621	#124	—	53	2	no	—
1622	#124	—	53	4	no	—
1623	#124	—	53	4	no	—
1624	#124	—	53	4	no	—
1625	#124	—	53	4	no	—
1626	#124	—	53	4	no	—
1627	#124	—	53	4	no	—
1628	#124	—	53	4	no	—
1629	#124	—	53	4	no	—
1630	#124	—	53	4	no	—
1631	#124	—	53	4	no	—
1632	#124	—	53	2	no	—
1633	#124	—	53	2	no	—
1634	#124	—	53	2	no	—
1635	#124	—	53	2	no	—
1636	#124	—	53	1	no	—
1637	#124	—	53	2	no	—
1638	#124	—	53	4	no	—
1639	#124	—	53	4	no	—
1640	#124	C₂²×D₅₃	1	2	yes	—
1641	#124	C₂²×D₅₃	1	2	yes	—
1642	#124	C₂²×D₅₃	1	2	yes	—
1643	#124	C₂²×D₅₃	1	2	yes	—
1644	#124	C₂²×D₅₃	1	2	yes	—
1645	#124	C₂²×D₅₃	1	1	yes	characteristic, complemented
1646	#124	C₂²×D₅₃	1	4	yes	complemented
1647	#124	C₂²×D₅₃	1	4	yes	complemented
1648	#123	—	53	2	no	—
1649	#123	—	53	4	no	—
1650	#123	—	53	4	no	—
1651	#123	—	53	4	no	—
1652	#123	—	53	4	no	—
1653	#123	—	53	2	no	—
1654	#123	—	53	4	no	—
1655	#123	—	53	4	no	—
1656	#123	—	53	4	no	—
1657	#123	—	53	4	no	—
1658	#123	—	53	2	no	—
1659	#123	—	53	2	no	—
1660	#123	—	53	4	no	—
1661	#123	—	53	4	no	—
1662	#123	—	53	4	no	—
1663	#123	—	53	4	no	—
1664	#123	—	53	4	no	—
1665	#123	—	53	4	no	—
1666	#123	—	53	4	no	—
1667	#123	—	53	4	no	—
1668	#123	—	53	2	no	—
1669	#123	—	53	2	no	—
1670	#123	—	53	2	no	—
1671	#123	—	53	4	no	—
1672	#123	—	53	4	no	—
1673	#123	—	53	4	no	—
1674	#123	—	53	4	no	—
1675	#123	—	53	4	no	—
1676	#123	—	53	4	no	—
1677	#123	—	53	4	no	—
1678	#123	—	53	4	no	—
1679	#123	—	53	4	no	—
1680	#123	—	53	4	no	—
1681	#123	—	53	4	no	—
1682	#123	—	53	4	no	—
1683	#123	C₂²×D₅₃	1	2	yes	—
1684	#123	C₂²×D₅₃	1	4	yes	—
1685	#123	C₂²×D₅₃	1	4	yes	complemented
1686	#123	C₂²×D₅₃	1	4	yes	complemented
1687	#123	C₂²×D₅₃	1	4	yes	complemented
1688	C₂²⋊Q₈	—	53	1	no	—
1689	C₂²⋊Q₈	—	53	2	no	—
1690	C₂²⋊Q₈	—	53	2	no	—
1691	C₂²⋊Q₈	—	53	4	no	—
1692	C₂²⋊Q₈	—	53	4	no	—
1693	C₂²⋊Q₈	—	53	4	no	—
1694	C₂²⋊Q₈	—	53	2	no	—
1695	C₂²⋊Q₈	—	53	4	no	—
1696	C₂²⋊Q₈	—	53	4	no	—
1697	C₂²⋊Q₈	—	53	4	no	—
1698	C₂²⋊Q₈	—	53	4	no	—
1699	C₂²⋊Q₈	—	53	1	no	—
1700	C₂²⋊Q₈	—	53	2	no	—
1701	C₂²⋊Q₈	—	53	2	no	—
1702	C₂²⋊Q₈	—	53	4	no	—
1703	C₂²⋊Q₈	—	53	4	no	—
1704	C₂²⋊Q₈	—	53	4	no	—
1705	C₂²⋊Q₈	—	53	2	no	—
1706	C₂²⋊Q₈	—	53	4	no	—
1707	C₂²⋊Q₈	—	53	4	no	—
1708	C₂²⋊Q₈	—	53	4	no	—
1709	C₂²⋊Q₈	—	53	4	no	—
1710	C₂²⋊Q₈	—	53	2	no	—
1711	C₂²⋊Q₈	—	53	1	no	—
1712	C₂²⋊Q₈	—	53	4	no	—
1713	C₂²⋊Q₈	—	53	2	no	—
1714	C₂²⋊Q₈	—	53	4	no	—
1715	C₂²⋊Q₈	—	53	2	no	—
1716	C₂²⋊Q₈	—	53	4	no	—
1717	C₂²⋊Q₈	—	53	4	no	—
1718	C₂²⋊Q₈	—	53	4	no	—
1719	C₂²⋊Q₈	—	53	4	no	—
1720	C₂²⋊Q₈	—	53	4	no	—
1721	C₂²⋊Q₈	—	53	4	no	—
1722	C₂²⋊Q₈	—	53	4	no	—
1723	C₂²⋊Q₈	—	53	4	no	—
1724	C₂²⋊Q₈	—	53	4	no	—
1725	C₂²⋊Q₈	—	53	4	no	—
1726	C₂²⋊Q₈	—	53	2	no	—
1727	C₂²⋊Q₈	—	53	4	no	—
1728	C₂²⋊Q₈	—	53	4	no	—
1729	C₂²⋊Q₈	—	53	4	no	—
1730	C₂²⋊Q₈	—	53	4	no	—
1731	C₂²⋊Q₈	—	53	4	no	—
1732	C₂²⋊Q₈	—	53	4	no	—
1733	C₂²⋊Q₈	—	53	4	no	—
1734	C₂²⋊Q₈	—	53	4	no	—
1735	C₂²⋊Q₈	—	53	4	no	—
1736	C₂²⋊Q₈	—	53	4	no	—
1737	C₂²⋊Q₈	—	53	4	no	—
1738	C₂²⋊Q₈	—	53	4	no	—
1739	C₂²⋊Q₈	—	53	2	no	—
1740	C₂²⋊Q₈	—	53	4	no	—
1741	C₂²⋊Q₈	—	53	4	no	—
1742	C₂²⋊Q₈	—	53	4	no	—
1743	C₂²⋊Q₈	—	53	4	no	—
1744	C₂²⋊Q₈	—	53	4	no	—
1745	C₂²⋊Q₈	—	53	4	no	—
1746	C₂²⋊Q₈	—	53	4	no	—
1747	C₂²⋊Q₈	—	53	4	no	—
1748	C₂²⋊Q₈	—	53	4	no	—
1749	C₂²⋊Q₈	—	53	4	no	—
1750	C₂²⋊Q₈	—	53	4	no	—
1751	C₂²⋊Q₈	—	53	4	no	—
1752	C₂²⋊Q₈	—	53	4	no	—
1753	C₂²⋊Q₈	—	53	4	no	—
1754	C₂²⋊Q₈	—	53	4	no	—
1755	C₂²⋊Q₈	—	53	4	no	—
1756	C₂²⋊Q₈	—	53	4	no	—
1757	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1758	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1759	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1760	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
1761	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1762	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1763	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1764	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1765	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1766	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1767	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1768	#121	—	53	1	no	—
1769	#121	—	53	2	no	—
1770	#121	—	53	4	no	—
1771	#121	—	53	4	no	—
1772	#121	—	53	4	no	—
1773	#121	—	53	2	no	—
1774	#121	—	53	4	no	—
1775	#121	—	53	4	no	—
1776	#121	—	53	4	no	—
1777	#121	—	53	4	no	—
1778	#121	—	53	1	no	—
1779	#121	—	53	4	no	—
1780	#121	—	53	2	no	—
1781	#121	—	53	4	no	—
1782	#121	—	53	1	no	—
1783	#121	—	53	4	no	—
1784	#121	—	53	2	no	—
1785	#121	—	53	4	no	—
1786	#121	—	53	2	no	—
1787	#121	—	53	4	no	—
1788	#121	—	53	4	no	—
1789	#121	—	53	4	no	—
1790	#121	—	53	4	no	—
1791	#121	—	53	4	no	—
1792	#121	C₂²×D₅₃	1	1	yes	characteristic
1793	#121	C₂²×D₅₃	1	2	yes	—
1794	#121	C₂²×D₅₃	1	4	yes	—
1795	#121	C₂²×D₅₃	1	4	yes	complemented
1796	#120	—	53	4	no	—
1797	#120	—	53	4	no	—
1798	#120	—	53	4	no	—
1799	#120	—	53	4	no	—
1800	#120	—	53	4	no	—
1801	#120	—	53	4	no	—
1802	#120	—	53	4	no	—
1803	#120	C₂²×D₅₃	1	4	yes	—
1804	C₄×Q₈	—	53	1	no	—
1805	C₄×Q₈	—	53	2	no	—
1806	C₄×Q₈	—	53	2	no	—
1807	C₄×Q₈	—	53	2	no	—
1808	C₄×Q₈	—	53	1	no	—
1809	C₄×Q₈	—	53	2	no	—
1810	C₄×Q₈	—	53	2	no	—
1811	C₄×Q₈	—	53	4	no	—
1812	C₄×Q₈	—	53	4	no	—
1813	C₄×Q₈	—	53	2	no	—
1814	C₄×Q₈	—	53	4	no	—
1815	C₄×Q₈	—	53	2	no	—
1816	C₄×Q₈	—	53	2	no	—
1817	C₄×Q₈	—	53	1	no	—
1818	C₄×Q₈	—	53	4	no	—
1819	C₄×Q₈	—	53	2	no	—
1820	C₄×Q₈	—	53	4	no	—
1821	C₄×Q₈	—	53	2	no	—
1822	C₄×Q₈	—	53	4	no	—
1823	C₄×Q₈	—	53	2	no	—
1824	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1825	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1826	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1827	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1828	C₄×D₄	—	53	2	no	—
1829	C₄×D₄	—	53	1	no	—
1830	C₄×D₄	—	53	4	no	—
1831	C₄×D₄	—	53	2	no	—
1832	C₄×D₄	—	53	4	no	—
1833	C₄×D₄	—	53	2	no	—
1834	C₄×D₄	—	53	2	no	—
1835	C₄×D₄	—	53	2	no	—
1836	C₄×D₄	—	53	4	no	—
1837	C₄×D₄	—	53	4	no	—
1838	C₄×D₄	—	53	4	no	—
1839	C₄×D₄	—	53	4	no	—
1840	C₄×D₄	—	53	4	no	—
1841	C₄×D₄	—	53	2	no	—
1842	C₄×D₄	—	53	1	no	—
1843	C₄×D₄	—	53	4	no	—
1844	C₄×D₄	—	53	2	no	—
1845	C₄×D₄	—	53	4	no	—
1846	C₄×D₄	—	53	2	no	—
1847	C₄×D₄	—	53	2	no	—
1848	C₄×D₄	—	53	2	no	—
1849	C₄×D₄	—	53	4	no	—
1850	C₄×D₄	—	53	4	no	—
1851	C₄×D₄	—	53	4	no	—
1852	C₄×D₄	—	53	4	no	—
1853	C₄×D₄	—	53	4	no	—
1854	C₄×D₄	—	53	2	no	—
1855	C₄×D₄	—	53	1	no	—
1856	C₄×D₄	—	53	4	no	—
1857	C₄×D₄	—	53	2	no	—
1858	C₄×D₄	—	53	4	no	—
1859	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1860	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1861	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1862	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1863	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1864	#117	—	53	2	no	—
1865	#117	—	53	2	no	—
1866	#117	—	53	4	no	—
1867	#117	—	53	2	no	—
1868	#117	—	53	2	no	—
1869	#117	—	53	2	no	—
1870	#117	—	53	2	no	—
1871	#117	—	53	4	no	—
1872	#117	—	53	4	no	—
1873	#117	—	53	2	no	—
1874	#117	—	53	2	no	—
1875	#117	—	53	4	no	—
1876	#117	—	53	4	no	—
1877	#117	—	53	4	no	—
1878	#117	—	53	2	no	—
1879	#117	—	53	2	no	—
1880	#117	—	53	4	no	—
1881	#117	—	53	4	no	—
1882	#117	—	53	4	no	—
1883	#117	C₂²×D₅₃	1	2	yes	—
1884	#117	C₂²×D₅₃	1	2	yes	complemented
1885	#117	C₂²×D₅₃	1	4	yes	complemented
1886	C₂×C₄⋊C₄	—	53	2	no	—
1887	C₂×C₄⋊C₄	—	53	2	no	—
1888	C₂×C₄⋊C₄	—	53	4	no	—
1889	C₂×C₄⋊C₄	—	53	2	no	—
1890	C₂×C₄⋊C₄	—	53	2	no	—
1891	C₂×C₄⋊C₄	—	53	2	no	—
1892	C₂×C₄⋊C₄	—	53	2	no	—
1893	C₂×C₄⋊C₄	—	53	1	no	—
1894	C₂×C₄⋊C₄	—	53	4	no	—
1895	C₂×C₄⋊C₄	—	53	4	no	—
1896	C₂×C₄⋊C₄	—	53	2	no	—
1897	C₂×C₄⋊C₄	—	53	4	no	—
1898	C₂×C₄⋊C₄	—	53	4	no	—
1899	C₂×C₄⋊C₄	—	53	1	no	—
1900	C₂×C₄⋊C₄	—	53	4	no	—
1901	C₂×C₄⋊C₄	—	53	2	no	—
1902	C₂×C₂²⋊C₄	—	53	2	no	—
1903	C₂×C₂²⋊C₄	—	53	2	no	—
1904	C₂×C₂²⋊C₄	—	53	4	no	—
1905	C₂×C₂²⋊C₄	—	53	2	no	—
1906	C₂×C₂²⋊C₄	—	53	2	no	—
1907	C₂×C₂²⋊C₄	—	53	2	no	—
1908	C₂×C₂²⋊C₄	—	53	2	no	—
1909	C₂×C₂²⋊C₄	—	53	4	no	—
1910	C₂×C₂²⋊C₄	—	53	4	no	—
1911	C₂×C₂²⋊C₄	—	53	2	no	—
1912	C₂×C₂²⋊C₄	—	53	4	no	—
1913	C₂×C₂²⋊C₄	—	53	4	no	—
1914	C₂×C₂²⋊C₄	—	53	4	no	—
1915	C₂×C₂²⋊C₄	—	53	4	no	—
1916	C₂×C₂²⋊C₄	—	53	4	no	—
1917	C₂×C₂²⋊C₄	—	53	4	no	—
1918	C₂×C₂²⋊C₄	—	53	4	no	—
1919	C₂×C₂²⋊C₄	—	53	4	no	—
1920	C₂×C₂²⋊C₄	—	53	4	no	—
1921	C₂×C₂²⋊C₄	—	53	4	no	—
1922	C₂×C₂²⋊C₄	—	53	4	no	—
1923	C₂×C₂²⋊C₄	—	53	4	no	—
1924	C₂×C₂²⋊C₄	—	53	4	no	—
1925	C₂×C₂²⋊C₄	—	53	4	no	—
1926	C₂×C₂²⋊C₄	—	53	4	no	—
1927	C₂×C₂²⋊C₄	—	53	4	no	—
1928	C₂×C₂²⋊C₄	—	53	2	no	—
1929	C₂×C₂²⋊C₄	—	53	2	no	—
1930	C₂×C₂²⋊C₄	—	53	2	no	—
1931	C₂×C₂²⋊C₄	—	53	4	no	—
1932	C₂×C₂²⋊C₄	—	53	2	no	—
1933	C₂×C₂²⋊C₄	—	53	4	no	—
1934	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1935	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1936	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	—
1937	C₂×C₄²	—	53	1	no	—
1938	C₂×C₄²	—	53	1	no	—
1939	C₂×C₄²	—	53	1	no	—
1940	C₂×C₄²	—	53	4	no	—
1941	C₂×C₄²	—	53	1	no	—
1942	C₂×C₄²	—	53	2	no	—
1943	C₂×C₄²	—	53	4	no	—
1944	C₂×C₄²	—	53	1	no	—
1945	C₂×C₄²	—	53	1	no	—
1946	C₂×C₄²	—	53	1	no	—
1947	C₂×C₄²	—	53	1	no	—
1948	C₂×C₄²	—	53	1	no	—
1949	C₂×C₄²	—	53	1	no	—
1950	C₂×C₄²	—	53	1	no	—
1951	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1952	C₂⁴	—	53	1	no	—
1953	C₂⁴	—	53	4	no	—
1954	C₂⁴	—	53	2	no	—
1955	C₂⁴	—	53	4	no	—
1956	C₂⁴	—	53	2	no	—
1957	C₂⁴	—	106	8	no	—
1958	C₂⁴	—	212	4	no	—
1959	C₂⁴	—	212	4	no	—
1960	C₂⁴	C₂³×D₅₃	1	2	yes	—
1961	#41	—	4	4	no	—
1962	#41	—	212	4	no	—
1963	#41	—	212	8	no	—
1964	#41	—	212	4	no	—
1965	#41	—	212	8	no	—
1966	#41	—	212	4	no	—
1967	C₂×Q₈	—	4	2	no	—
1968	C₂×Q₈	—	4	4	no	—
1969	C₂×Q₈	—	53	4	no	—
1970	C₂×Q₈	—	53	2	no	—
1971	C₂×Q₈	—	53	4	no	—
1972	C₂×Q₈	—	53	2	no	—
1973	C₂×Q₈	—	53	2	no	—
1974	C₂×Q₈	—	53	1	no	—
1975	C₂×Q₈	—	53	4	no	—
1976	C₂×Q₈	—	53	2	no	—
1977	C₂×Q₈	—	53	4	no	—
1978	C₂×Q₈	—	53	4	no	—
1979	C₂×Q₈	—	53	4	no	—
1980	C₂×Q₈	—	53	4	no	—
1981	C₂×Q₈	—	53	2	no	—
1982	C₂×Q₈	—	106	8	no	—
1983	C₂×Q₈	—	106	8	no	—
1984	C₂×Q₈	—	212	2	no	—
1985	C₂×Q₈	—	212	4	no	—
1986	C₂×Q₈	—	212	4	no	—
1987	C₂×Q₈	—	212	8	no	—
1988	C₂×Q₈	—	212	2	no	—
1989	C₂×Q₈	—	212	4	no	—
1990	C₂×Q₈	—	212	8	no	—
1991	C₂×Q₈	—	212	4	no	—
1992	C₂×Q₈	—	212	4	no	—
1993	C₂×Q₈	—	212	4	no	—
1994	C₂×Q₈	—	212	4	no	—
1995	C₂×Q₈	—	212	4	no	—
1996	C₂×Q₈	—	212	8	no	—
1997	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1998	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1999	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2000	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2001	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
2002	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2003	C₂×D₄	—	4	2	no	—
2004	C₂×D₄	—	53	2	no	—
2005	C₂×D₄	—	53	2	no	—
2006	C₂×D₄	—	53	4	no	—
2007	C₂×D₄	—	53	4	no	—
2008	C₂×D₄	—	53	4	no	—
2009	C₂×D₄	—	53	2	no	—
2010	C₂×D₄	—	53	4	no	—
2011	C₂×D₄	—	53	4	no	—
2012	C₂×D₄	—	53	4	no	—
2013	C₂×D₄	—	53	2	no	—
2014	C₂×D₄	—	53	2	no	—
2015	C₂×D₄	—	53	4	no	—
2016	C₂×D₄	—	53	1	no	—
2017	C₂×D₄	—	53	4	no	—
2018	C₂×D₄	—	53	2	no	—
2019	C₂×D₄	—	106	8	no	—
2020	C₂×D₄	—	106	8	no	—
2021	C₂×D₄	—	212	2	no	—
2022	C₂×D₄	—	212	4	no	—
2023	C₂×D₄	—	212	4	no	—
2024	C₂×D₄	—	212	8	no	—
2025	C₂×D₄	—	212	2	no	—
2026	C₂×D₄	—	212	4	no	—
2027	C₂×D₄	—	212	8	no	—
2028	C₂×D₄	—	212	4	no	—
2029	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2030	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2031	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2032	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2033	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2034	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2035	C₂²×C₄	—	53	1	no	—
2036	C₂²×C₄	—	53	1	no	—
2037	C₂²×C₄	—	53	1	no	—
2038	C₂²×C₄	—	53	2	no	—
2039	C₂²×C₄	—	53	1	no	—
2040	C₂²×C₄	—	53	2	no	—
2041	C₂²×C₄	—	53	4	no	—
2042	C₂²×C₄	—	53	4	no	—
2043	C₂²×C₄	—	53	4	no	—
2044	C₂²×C₄	—	53	1	no	—
2045	C₂²×C₄	—	53	2	no	—
2046	C₂²×C₄	—	53	1	no	—
2047	C₂²×C₄	—	53	1	no	—
2048	C₂²×C₄	—	53	4	no	—
2049	C₂²×C₄	—	53	1	no	—
2050	C₂²×C₄	—	53	1	no	—
2051	C₂²×C₄	—	53	1	no	—
2052	C₂²×C₄	—	53	1	no	—
2053	C₂²×C₄	—	53	1	no	—
2054	C₂²×C₄	—	53	1	no	—
2055	C₂²×C₄	—	53	2	no	—
2056	C₂²×C₄	—	53	4	no	—
2057	C₂²×C₄	—	53	4	no	—
2058	C₂²×C₄	—	53	2	no	—
2059	C₂²×C₄	—	53	2	no	—
2060	C₂²×C₄	—	53	2	no	—
2061	C₂²×C₄	—	53	1	no	—
2062	C₂²×C₄	—	53	1	no	—
2063	C₂²×C₄	—	53	4	no	—
2064	C₂²×C₄	—	53	4	no	—
2065	C₂²×C₄	—	53	4	no	—
2066	C₂²×C₄	—	53	4	no	—
2067	C₂²×C₄	—	53	4	no	—
2068	C₂²×C₄	—	53	4	no	—
2069	C₂²×C₄	—	53	4	no	—
2070	C₂²×C₄	—	106	4	no	—
2071	C₂²×C₄	—	106	8	no	—
2072	C₂²×C₄	—	106	4	no	—
2073	C₂²×C₄	—	212	8	no	—
2074	C₂²×C₄	—	212	2	no	—
2075	C₂²×C₄	—	212	8	no	—
2076	C₂²×C₄	—	212	4	no	—
2077	C₂²×C₄	—	212	8	no	—
2078	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2079	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2080	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2081	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2082	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2083	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2084	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2085	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2086	C₄⋊C₄	—	53	2	no	—
2087	C₄⋊C₄	—	53	2	no	—
2088	C₄⋊C₄	—	53	2	no	—
2089	C₄⋊C₄	—	53	2	no	—
2090	C₄⋊C₄	—	53	2	no	—
2091	C₄⋊C₄	—	53	2	no	—
2092	C₄⋊C₄	—	53	4	no	—
2093	C₄⋊C₄	—	53	4	no	—
2094	C₄⋊C₄	—	53	4	no	—
2095	C₄⋊C₄	—	53	4	no	—
2096	C₄⋊C₄	—	53	2	no	—
2097	C₄⋊C₄	—	53	2	no	—
2098	C₄⋊C₄	—	53	2	no	—
2099	C₄⋊C₄	—	53	2	no	—
2100	C₄⋊C₄	—	53	4	no	—
2101	C₄⋊C₄	—	53	2	no	—
2102	C₄⋊C₄	—	53	4	no	—
2103	C₄⋊C₄	—	53	2	no	—
2104	C₄⋊C₄	—	53	2	no	—
2105	C₄⋊C₄	—	53	1	no	—
2106	C₄⋊C₄	—	53	4	no	—
2107	C₄⋊C₄	—	53	4	no	—
2108	C₄⋊C₄	—	53	4	no	—
2109	C₄⋊C₄	—	53	4	no	—
2110	C₄⋊C₄	—	53	4	no	—
2111	C₄⋊C₄	—	53	4	no	—
2112	C₄⋊C₄	—	53	2	no	—
2113	C₄⋊C₄	—	53	2	no	—
2114	C₄⋊C₄	—	53	2	no	—
2115	C₄⋊C₄	—	53	4	no	—
2116	C₄⋊C₄	—	53	4	no	—
2117	C₄⋊C₄	—	53	4	no	—
2118	C₄⋊C₄	—	53	4	no	—
2119	C₄⋊C₄	—	53	4	no	—
2120	C₄⋊C₄	—	53	4	no	—
2121	C₄⋊C₄	—	53	2	no	—
2122	C₄⋊C₄	—	53	1	no	—
2123	C₄⋊C₄	—	53	4	no	—
2124	C₄⋊C₄	—	53	4	no	—
2125	C₄⋊C₄	—	53	4	no	—
2126	C₄⋊C₄	—	53	4	no	—
2127	C₄⋊C₄	—	53	2	no	—
2128	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2129	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2130	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2131	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2132	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2133	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2134	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2135	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2136	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2137	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2138	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2139	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2140	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2141	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2142	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2143	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2144	C₂²⋊C₄	—	53	2	no	—
2145	C₂²⋊C₄	—	53	4	no	—
2146	C₂²⋊C₄	—	53	4	no	—
2147	C₂²⋊C₄	—	53	4	no	—
2148	C₂²⋊C₄	—	53	4	no	—
2149	C₂²⋊C₄	—	53	4	no	—
2150	C₂²⋊C₄	—	53	4	no	—
2151	C₂²⋊C₄	—	53	4	no	—
2152	C₂²⋊C₄	—	53	4	no	—
2153	C₂²⋊C₄	—	53	2	no	—
2154	C₂²⋊C₄	—	53	2	no	—
2155	C₂²⋊C₄	—	53	2	no	—
2156	C₂²⋊C₄	—	53	4	no	—
2157	C₂²⋊C₄	—	53	2	no	—
2158	C₂²⋊C₄	—	53	4	no	—
2159	C₂²⋊C₄	—	53	2	no	—
2160	C₂²⋊C₄	—	53	2	no	—
2161	C₂²⋊C₄	—	53	4	no	—
2162	C₂²⋊C₄	—	53	4	no	—
2163	C₂²⋊C₄	—	53	4	no	—
2164	C₂²⋊C₄	—	53	4	no	—
2165	C₂²⋊C₄	—	53	4	no	—
2166	C₂²⋊C₄	—	53	4	no	—
2167	C₂²⋊C₄	—	53	4	no	—
2168	C₂²⋊C₄	—	53	4	no	—
2169	C₂²⋊C₄	—	53	4	no	—
2170	C₂²⋊C₄	—	53	4	no	—
2171	C₂²⋊C₄	—	53	4	no	—
2172	C₂²⋊C₄	—	53	4	no	—
2173	C₂²⋊C₄	—	53	4	no	—
2174	C₂²⋊C₄	—	53	4	no	—
2175	C₂²⋊C₄	—	53	4	no	—
2176	C₂²⋊C₄	—	53	4	no	—
2177	C₂²⋊C₄	—	53	2	no	—
2178	C₂²⋊C₄	—	53	2	no	—
2179	C₂²⋊C₄	—	53	2	no	—
2180	C₂²⋊C₄	—	53	2	no	—
2181	C₂²⋊C₄	—	53	2	no	—
2182	C₂²⋊C₄	—	53	2	no	—
2183	C₂²⋊C₄	—	53	4	no	—
2184	C₂²⋊C₄	—	53	4	no	—
2185	C₂²⋊C₄	—	53	2	no	—
2186	C₂²⋊C₄	—	53	2	no	—
2187	C₂²⋊C₄	—	53	4	no	—
2188	C₂²⋊C₄	—	53	4	no	—
2189	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2190	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2191	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2192	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2193	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2194	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2195	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2196	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2197	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2198	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2199	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2200	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2201	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2202	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2203	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2204	C₄²	—	53	1	no	—
2205	C₄²	—	53	1	no	—
2206	C₄²	—	53	1	no	—
2207	C₄²	—	53	1	no	—
2208	C₄²	—	53	1	no	—
2209	C₄²	—	53	1	no	—
2210	C₄²	—	53	1	no	—
2211	C₄²	—	53	1	no	—
2212	C₄²	—	53	1	no	—
2213	C₄²	—	53	1	no	—
2214	C₄²	—	53	1	no	—
2215	C₄²	—	53	1	no	—
2216	C₄²	—	53	4	no	—
2217	C₄²	—	53	4	no	—
2218	C₄²	—	53	4	no	—
2219	C₄²	—	53	2	no	—
2220	C₄²	—	53	2	no	—
2221	C₄²	—	53	2	no	—
2222	C₄²	—	53	4	no	—
2223	C₄²	—	53	4	no	—
2224	C₄²	—	53	4	no	—
2225	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2226	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2227	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2228	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2229	C₄²	C₂³×D₅₃	1	4	yes	—
2230	C₄²	C₂³×D₅₃	1	2	yes	—
2231	C₄²	C₂³×D₅₃	1	4	yes	—
2232	C₂³	—	2	4	no	—
2233	C₂³	—	4	2	no	—
2234	C₂³	—	4	2	no	—
2235	C₂³	—	53	1	no	—
2236	C₂³	—	53	4	no	—
2237	C₂³	—	53	1	no	—
2238	C₂³	—	53	4	no	—
2239	C₂³	—	53	2	no	—
2240	C₂³	—	106	2	no	—
2241	C₂³	—	106	2	no	—
2242	C₂³	—	106	8	no	—
2243	C₂³	—	106	4	no	—
2244	C₂³	—	106	8	no	—
2245	C₂³	—	106	8	no	—
2246	C₂³	—	106	4	no	—
2247	C₂³	—	106	4	no	—
2248	C₂³	—	106	8	no	—
2249	C₂³	—	106	4	no	—
2250	C₂³	—	424	16	no	—
2251	C₂³	—	212	2	no	—
2252	C₂³	—	212	4	no	—
2253	C₂³	—	212	2	no	—
2254	C₂³	—	212	4	no	—
2255	C₂³	C₂⁴×D₅₃	1	4	yes	—
2256	C₂³	C₂⁴×D₅₃	1	2	yes	—
2257	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2258	Q₈	—	2	4	no	—
2259	Q₈	—	2	4	no	—
2260	Q₈	—	4	4	no	—
2261	Q₈	—	4	2	no	—
2262	Q₈	—	4	1	no	—
2263	Q₈	—	4	2	no	—
2264	Q₈	—	106	8	no	—
2265	Q₈	—	106	8	no	—
2266	Q₈	—	106	4	no	—
2267	Q₈	—	106	4	no	—
2268	Q₈	—	212	2	no	—
2269	Q₈	—	212	1	no	—
2270	Q₈	—	212	4	no	—
2271	Q₈	—	212	2	no	—
2272	Q₈	—	212	4	no	—
2273	Q₈	—	212	2	no	—
2274	Q₈	—	212	4	no	—
2275	Q₈	—	212	4	no	—
2276	Q₈	—	212	4	no	—
2277	D₄	—	2	4	no	—
2278	D₄	—	2	4	no	—
2279	D₄	—	4	2	no	—
2280	D₄	—	4	4	no	—
2281	D₄	—	4	1	no	—
2282	D₄	—	4	4	no	—
2283	D₄	—	106	4	no	—
2284	D₄	—	106	8	no	—
2285	D₄	—	106	4	no	—
2286	D₄	—	106	4	no	—
2287	D₄	—	106	4	no	—
2288	D₄	—	212	4	no	—
2289	D₄	—	212	1	no	—
2290	D₄	—	212	2	no	—
2291	D₄	—	212	4	no	—
2292	D₄	—	212	4	no	—
2293	D₄	—	212	4	no	—
2294	D₄	—	212	2	no	—
2295	D₄	—	212	4	no	—
2296	D₄	—	212	4	no	—
2297	D₄	—	212	4	no	—
2298	C₂×C₄	—	2	2	no	—
2299	C₂×C₄	—	2	2	no	—
2300	C₂×C₄	—	2	4	no	—
2301	C₂×C₄	—	4	4	no	—
2302	C₂×C₄	—	4	1	no	—
2303	C₂×C₄	—	4	4	no	—
2304	C₂×C₄	—	4	2	no	—
2305	C₂×C₄	—	4	4	no	—
2306	C₂×C₄	—	53	1	no	—
2307	C₂×C₄	—	53	4	no	—
2308	C₂×C₄	—	53	1	no	—
2309	C₂×C₄	—	53	2	no	—
2310	C₂×C₄	—	53	1	no	—
2311	C₂×C₄	—	53	1	no	—
2312	C₂×C₄	—	53	1	no	—
2313	C₂×C₄	—	53	4	no	—
2314	C₂×C₄	—	53	1	no	—
2315	C₂×C₄	—	53	2	no	—
2316	C₂×C₄	—	53	4	no	—
2317	C₂×C₄	—	53	4	no	—
2318	C₂×C₄	—	53	2	no	—
2319	C₂×C₄	—	106	2	no	—
2320	C₂×C₄	—	106	4	no	—
2321	C₂×C₄	—	106	2	no	—
2322	C₂×C₄	—	106	2	no	—
2323	C₂×C₄	—	106	2	no	—
2324	C₂×C₄	—	106	2	no	—
2325	C₂×C₄	—	106	4	no	—
2326	C₂×C₄	—	106	2	no	—
2327	C₂×C₄	—	106	8	no	—
2328	C₂×C₄	—	106	8	no	—
2329	C₂×C₄	—	106	4	no	—
2330	C₂×C₄	—	106	8	no	—
2331	C₂×C₄	—	106	2	no	—
2332	C₂×C₄	—	106	2	no	—
2333	C₂×C₄	—	106	4	no	—
2334	C₂×C₄	—	106	2	no	—
2335	C₂×C₄	—	106	4	no	—
2336	C₂×C₄	—	106	2	no	—
2337	C₂×C₄	—	106	2	no	—
2338	C₂×C₄	—	106	4	no	—
2339	C₂×C₄	—	212	4	no	—
2340	C₂×C₄	—	212	4	no	—
2341	C₂×C₄	—	212	1	no	—
2342	C₂×C₄	—	212	1	no	—
2343	C₂×C₄	—	212	4	no	—
2344	C₂×C₄	—	212	4	no	—
2345	C₂×C₄	—	212	4	no	—
2346	C₂×C₄	—	212	4	no	—
2347	C₂×C₄	—	212	4	no	—
2348	C₂×C₄	—	212	4	no	—
2349	C₂×C₄	—	212	1	no	—
2350	C₂×C₄	—	212	4	no	—
2351	C₂×C₄	—	212	2	no	—
2352	C₂×C₄	—	212	4	no	—
2353	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2354	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2355	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2356	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2357	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2358	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2359	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2360	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2361	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2362	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2363	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2364	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2365	C₂²	—	2	1	no	—
2366	C₂²	—	2	1	no	—
2367	C₂²	—	2	2	no	—
2368	C₂²	—	2	4	no	—
2369	C₂²	—	2	2	no	—
2370	C₂²	—	2	4	no	—
2371	C₂²	—	2	4	no	—
2372	C₂²	—	2	2	no	—
2373	C₂²	—	8	4	no	—
2374	C₂²	—	53	2	no	—
2375	C₂²	—	53	2	no	—
2376	C₂²	—	53	2	no	—
2377	C₂²	—	53	2	no	—
2378	C₂²	—	106	8	no	—
2379	C₂²	—	106	1	no	—
2380	C₂²	—	106	1	no	—
2381	C₂²	—	106	2	no	—
2382	C₂²	—	106	4	no	—
2383	C₂²	—	106	2	no	—
2384	C₂²	—	106	4	no	—
2385	C₂²	—	106	4	no	—
2386	C₂²	—	106	2	no	—
2387	C₂²	—	424	4	no	—
2388	C₂²	—	424	8	no	—
2389	C₂²	—	212	16	no	—
2390	C₂²	—	212	8	no	—
2391	C₂²	2₋¹⁺⁴×D₅₃	1	2	yes	—
2392	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2393	C₄	—	2	2	no	—
2394	C₄	—	2	1	no	—
2395	C₄	—	2	4	no	—
2396	C₄	—	2	4	no	—
2397	C₄	—	2	1	no	—
2398	C₄	—	2	1	no	—
2399	C₄	—	2	2	no	—
2400	C₄	—	2	2	no	—
2401	C₄	—	2	4	no	—
2402	C₄	—	2	1	no	—
2403	C₄	—	2	1	no	—
2404	C₄	—	53	2	no	—
2405	C₄	—	106	2	no	—
2406	C₄	—	106	1	no	—
2407	C₄	—	106	4	no	—
2408	C₄	—	106	4	no	—
2409	C₄	—	106	1	no	—
2410	C₄	—	106	1	no	—
2411	C₄	—	106	2	no	—
2412	C₄	—	106	2	no	—
2413	C₄	—	106	1	no	—
2414	C₄	—	106	4	no	—
2415	C₄	—	106	1	no	—
2416	C₄	H(5,𝔽₂)×D₅₃	1	2	yes	—
2417	C₂	—	2	2	no	—
2418	C₂	—	4	4	no	—
2419	C₂	—	4	2	no	—
2420	C₂	—	53	4	no	—
2421	C₂	—	106	2	no	—
2422	C₂	—	212	4	no	—
2423	C₂	—	212	2	no	—
2424	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2425	C₂	C₂×2₋¹⁺⁴×D₅₃	1	1	yes	characteristic
2426	C₂	#585×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3561	C₂
hypercenter	#3561	D₅₃
hypocenter	C₅₃	C₂×#3561
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3561

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #20289287	C₂	semidirect
2. #20289286	C₂	semidirect
3. #20289285	C₂	semidirect
4. #20289284	C₂	semidirect
5. #20289283	C₂	semidirect
6. #20289282	C₂	semidirect
7. #20289281	C₂	semidirect
8. #20289280	C₂	semidirect
9. #20289279	C₂	semidirect
10. #20289278	C₂	semidirect
11. #20289277	C₂	semidirect
12. #20289276	C₂	semidirect
13. #20289275	C₂	semidirect
14. #20289274	C₂	semidirect
15. #20289273	C₂	semidirect
16. #563×D₅₃	C₂	semidirect
17. #562×D₅₃	C₂	semidirect
18. #556×D₅₃	C₂	semidirect
19. #551×D₅₃	C₂	semidirect
20. D₄×Q₈×D₅₃	C₂	semidirect
21. #548×D₅₃	C₂	semidirect
22. #546×D₅₃	C₂	semidirect
23. #543×D₅₃	C₂	semidirect
24. #542×D₅₃	C₂	semidirect
25. #542×D₅₃	C₂	semidirect
26. #538×D₅₃	C₂	semidirect
27. #536×D₅₃	C₂	semidirect
28. #533×D₅₃	C₂	semidirect
29. #529×D₅₃	C₂	semidirect
30. C₂×#124×D₅₃	C₂	semidirect
31. C₅₃×#3561	C₂	semidirect
34. C₂²×Q₈×D₅₃	C₂²	semidirect
36. #16811377	C₂²	semidirect
37. #16811377	C₂²	semidirect
38. #16811376	C₂²	semidirect
39. #16811375	C₂²	semidirect
40. #16811375	C₂²	semidirect
41. #16811374	C₂²	semidirect
42. #16811374	C₂²	semidirect
43. #16811373	C₂²	semidirect
44. #16811372	C₂²	semidirect
45. #16811371	C₂²	semidirect
46. #16811370	C₂²	semidirect
47. #16811370	C₂²	semidirect
48. #16811369	C₂²	semidirect
49. #16811369	C₂²	semidirect
50. #16811368	C₂²	semidirect
51. #16811368	C₂²	semidirect
52. #16811367	C₂²	semidirect
53. #16811367	C₂²	semidirect
54. #16811347	C₂²	semidirect
55. #16811346	C₂²	semidirect
56. #16811345	C₂²	semidirect
57. #16811345	C₂²	semidirect
58. #16811344	C₂²	semidirect
59. #16811343	C₂²	semidirect
60. #16811342	C₂²	semidirect
61. #16811342	C₂²	semidirect
62. #16811341	C₂²	semidirect
63. #16811340	C₂²	semidirect
64. #16811340	C₂²	semidirect
65. #16811304	C₂²	semidirect
66. #16811303	C₂²	semidirect
67. #16811302	C₂²	semidirect
68. #16811302	C₂²	semidirect
69. #16811301	C₂²	semidirect
70. #16811300	C₂²	semidirect
71. #16811300	C₂²	semidirect
72. #16811299	C₂²	semidirect
73. #16811299	C₂²	semidirect
74. #16811298	C₂²	semidirect
75. #16811298	C₂²	semidirect
76. #16811297	C₂²	semidirect
77. #16811297	C₂²	semidirect
78. #16811296	C₂²	semidirect
79. #16811296	C₂²	semidirect
80. Q₈×D₂₁₂	C₂²	semidirect
81. D₄×Dic₁₀₆	C₂²	semidirect
82. D₄×Dic₁₀₆	C₂²	semidirect
83. #16811288	C₂²	semidirect
84. #16811288	C₂²	semidirect
85. Q₈×C₂²⋊D₅₃	C₂²	semidirect
86. Q₈×C₂²⋊D₅₃	C₂²	semidirect
87. #16811286	C₂²	semidirect
88. #16811286	C₂²	semidirect
89. #16811286	C₂²	semidirect
90. #16811286	C₂²	semidirect
91. #16811285	C₂²	semidirect
92. #16811284	C₂²	semidirect
93. #16811283	C₂²	semidirect
94. #16811283	C₂²	semidirect
95. #16811282	C₂²	semidirect
96. #16811282	C₂²	semidirect
97. #16811281	C₂²	semidirect
98. #16811281	C₂²	semidirect
99. #16811280	C₂²	semidirect
100. #16811279	C₂²	semidirect
101. #16811279	C₂²	semidirect
102. #16811270	C₂²	semidirect
103. #16811269	C₂²	semidirect
104. #16811268	C₂²	semidirect
105. #16811267	C₂²	semidirect
106. #16811266	C₂²	semidirect
107. #16811265	C₂²	semidirect
108. #16811264	C₂²	semidirect
109. #16811263	C₂²	semidirect
110. #16811262	C₂²	semidirect
111. #16811261	C₂²	semidirect
112. #16811260	C₂²	semidirect
113. #16811249	C₂²	semidirect
114. #16811249	C₂²	semidirect
115. #16811248	C₂²	semidirect
116. #16811248	C₂²	semidirect
117. #16811248	C₂²	semidirect
118. #16811248	C₂²	semidirect
119. #16811248	C₂²	semidirect
120. #16811248	C₂²	semidirect
121. #16811248	C₂²	semidirect
122. #16811247	C₂²	semidirect
123. #16811247	C₂²	semidirect
124. #16811246	C₂²	semidirect
125. #16811246	C₂²	semidirect
126. #16811245	C₂²	semidirect
127. #16811245	C₂²	semidirect
128. #16811244	C₂²	semidirect
129. #16811244	C₂²	semidirect
130. #16811243	C₂²	semidirect
131. #16811243	C₂²	semidirect
132. #16811243	C₂²	semidirect
133. #16811242	C₂²	semidirect
134. #16811242	C₂²	semidirect
135. #16811241	C₂²	semidirect
136. #16811241	C₂²	semidirect
137. #16811241	C₂²	semidirect
138. #16811240	C₂²	semidirect
139. #16811240	C₂²	semidirect
140. #16811239	C₂²	semidirect
141. #16811239	C₂²	semidirect
142. #16811239	C₂²	semidirect
143. #16811238	C₂²	semidirect
144. #16811238	C₂²	semidirect
145. #16811237	C₂²	semidirect
146. #16811237	C₂²	semidirect
147. #16811237	C₂²	semidirect
148. #16811213	C₂²	semidirect
149. #16811212	C₂²	semidirect
150. #16811211	C₂²	semidirect
151. #16811210	C₂²	semidirect
152. #16811209	C₂²	semidirect
153. #16811208	C₂²	semidirect
154. #16811207	C₂²	semidirect
155. #16811206	C₂²	semidirect
156. #16811205	C₂²	semidirect
157. #16811199	C₂²	semidirect
158. #16811198	C₂²	semidirect
159. #16811198	C₂²	semidirect
160. #16811197	C₂²	semidirect
161. #16811196	C₂²	semidirect
162. #16811196	C₂²	semidirect
163. #16811195	C₂²	semidirect
164. #16811195	C₂²	semidirect
165. #16811194	C₂²	semidirect
166. #16811193	C₂²	semidirect
167. #16811193	C₂²	semidirect
168. #16811180	C₂²	semidirect
169. #16811179	C₂²	semidirect
170. #16811178	C₂²	semidirect
171. #16811178	C₂²	semidirect
172. #16811177	C₂²	semidirect
173. #16811177	C₂²	semidirect
174. #16811176	C₂²	semidirect
175. #16811175	C₂²	semidirect
176. #16811175	C₂²	semidirect
177. C₄⋊Q₈×D₅₃	C₂²	semidirect
178. C₄⋊Q₈×D₅₃	C₂²	semidirect
179. C₄⋊Q₈×D₅₃	C₂²	semidirect
180. C₄⋊Q₈×D₅₃	C₂²	semidirect
181. #16811160	C₂²	semidirect
182. #16811159	C₂²	semidirect
183. #16811158	C₂²	semidirect
184. #16811157	C₂²	semidirect
185. #16811156	C₂²	semidirect
186. #16811155	C₂²	semidirect
187. #16811154	C₂²	semidirect
188. #16811153	C₂²	semidirect
189. #16811152	C₂²	semidirect
190. #16811151	C₂²	semidirect
191. #16811150	C₂²	semidirect
192. #126×D₅₃	C₂²	semidirect
193. #126×D₅₃	C₂²	semidirect
194. #126×D₅₃	C₂²	semidirect
195. #126×D₅₃	C₂²	semidirect
196. #125×D₅₃	C₂²	semidirect
197. #125×D₅₃	C₂²	semidirect
198. C₂×#13133206	C₂²	semidirect
199. C₂×#13133205	C₂²	semidirect
200. C₂×#13133204	C₂²	semidirect
201. C₂×#13133203	C₂²	semidirect
202. C₂×#13133203	C₂²	semidirect
208. #124×D₅₃	C₂²	semidirect
209. #124×D₅₃	C₂²	semidirect
210. #124×D₅₃	C₂²	semidirect
211. #124×D₅₃	C₂²	semidirect
212. #124×D₅₃	C₂²	semidirect
213. #124×D₅₃	C₂²	semidirect
214. #124×D₅₃	C₂²	semidirect
217. #123×D₅₃	C₂²	semidirect
218. #123×D₅₃	C₂²	semidirect
219. #123×D₅₃	C₂²	semidirect
224. C₂²⋊Q₈×D₅₃	C₂²	semidirect
225. C₂²⋊Q₈×D₅₃	C₂²	semidirect
226. C₂²⋊Q₈×D₅₃	C₂²	semidirect
227. C₂²⋊Q₈×D₅₃	C₂²	semidirect
228. C₂²⋊Q₈×D₅₃	C₂²	semidirect
229. C₂²⋊Q₈×D₅₃	C₂²	semidirect
230. C₂²⋊Q₈×D₅₃	C₂²	semidirect
234. #121×D₅₃	C₂²	semidirect
236. C₄×Q₈×D₅₃	C₂²	semidirect
237. C₄×Q₈×D₅₃	C₂²	semidirect
238. C₄×Q₈×D₅₃	C₂²	semidirect
239. C₄×Q₈×D₅₃	C₂²	semidirect
243. C₄×D₄×D₅₃	C₂²	semidirect
244. C₄×D₄×D₅₃	C₂²	semidirect
246. #117×D₅₃	C₂²	semidirect
247. #117×D₅₃	C₂²	semidirect
252. C₅₃×#563	C₂²	semidirect
253. C₅₃×#562	C₂²	semidirect
254. C₅₃×#556	C₂²	semidirect
255. C₅₃×#551	C₂²	semidirect
256. D₄×Q₈×C₅₃	C₂²	semidirect
257. C₅₃×#548	C₂²	semidirect
258. C₅₃×#546	C₂²	semidirect
259. C₅₃×#543	C₂²	semidirect
260. C₅₃×#542	C₂²	semidirect
261. C₅₃×#542	C₂²	semidirect
262. C₅₃×#538	C₂²	semidirect
263. C₅₃×#536	C₂²	semidirect
264. C₅₃×#533	C₂²	semidirect
265. C₅₃×#529	C₂²	semidirect
266. C₂×#124×C₅₃	C₂²	semidirect
276. C₂²×Dic₁₀₆	C₂³	semidirect
277. C₂²×Dic₁₀₆	C₂³	semidirect
288. C₂×Q₈×D₅₃	C₂³	semidirect
289. C₂×Q₈×D₅₃	C₂³	semidirect
290. C₂×Q₈×D₅₃	C₂³	semidirect
310. #13133217	C₂³	semidirect
311. #13133217	C₂³	semidirect
312. #13133217	C₂³	semidirect
313. #13133217	C₂³	semidirect
314. #13133216	C₂³	semidirect
315. #13133216	C₂³	semidirect
316. #13133216	C₂³	semidirect
317. #13133216	C₂³	semidirect
318. #13133216	C₂³	semidirect
319. #13133216	C₂³	semidirect
320. #13133216	C₂³	semidirect
321. #13133216	C₂³	semidirect
322. #13133216	C₂³	semidirect
323. #13133216	C₂³	semidirect
324. #13133215	C₂³	semidirect
325. #13133215	C₂³	semidirect
326. #13133215	C₂³	semidirect
327. #13133215	C₂³	semidirect
328. #13133215	C₂³	semidirect
329. #13133215	C₂³	semidirect
330. #13133212	C₂³	semidirect
331. #13133212	C₂³	semidirect
332. #13133212	C₂³	semidirect
333. #13133212	C₂³	semidirect
334. #13133212	C₂³	semidirect
335. #13133212	C₂³	semidirect
336. #13133212	C₂³	semidirect
337. #13133212	C₂³	semidirect
338. #13133212	C₂³	semidirect
339. #13133212	C₂³	semidirect
340. #13133212	C₂³	semidirect
341. #13133212	C₂³	semidirect
342. #13133211	C₂³	semidirect
343. #13133211	C₂³	semidirect
344. #13133211	C₂³	semidirect
345. #13133211	C₂³	semidirect
346. #13133210	C₂³	semidirect
347. #13133210	C₂³	semidirect
348. #13133210	C₂³	semidirect
349. #13133210	C₂³	semidirect
350. #13133210	C₂³	semidirect
351. #13133210	C₂³	semidirect
352. #13133210	C₂³	semidirect
353. #13133210	C₂³	semidirect
354. #13133210	C₂³	semidirect
355. #13133210	C₂³	semidirect
356. #13133210	C₂³	semidirect
357. #13133210	C₂³	semidirect
358. #13133209	C₂³	semidirect
359. #13133209	C₂³	semidirect
360. #13133208	C₂³	semidirect
361. #13133208	C₂³	semidirect
362. #13133208	C₂³	semidirect
363. #13133208	C₂³	semidirect
364. #13133207	C₂³	semidirect
365. #13133207	C₂³	semidirect
366. #13133207	C₂³	semidirect
367. #13133207	C₂³	semidirect
373. #13133206	C₂³	semidirect
374. #13133206	C₂³	semidirect
375. #13133206	C₂³	semidirect
381. #13133205	C₂³	semidirect
382. #13133205	C₂³	semidirect
383. #13133205	C₂³	semidirect
389. #13133204	C₂³	semidirect
390. #13133204	C₂³	semidirect
391. #13133204	C₂³	semidirect
402. #13133203	C₂³	semidirect
403. #13133203	C₂³	semidirect
404. #13133203	C₂³	semidirect
405. #13133203	C₂³	semidirect
406. #13133203	C₂³	semidirect
407. #13133203	C₂³	semidirect
408. #13133203	C₂³	semidirect
409. #13133203	C₂³	semidirect
410. #13133203	C₂³	semidirect
411. #13133203	C₂³	semidirect
416. #13133202	C₂³	semidirect
417. #13133202	C₂³	semidirect
418. #13133202	C₂³	semidirect
419. #13133202	C₂³	semidirect
420. #13133202	C₂³	semidirect
421. #13133202	C₂³	semidirect
424. #13133201	C₂³	semidirect
425. #13133201	C₂³	semidirect
426. #13133201	C₂³	semidirect
429. #13133200	C₂³	semidirect
430. #13133200	C₂³	semidirect
431. #13133200	C₂³	semidirect
436. #13133199	C₂³	semidirect
437. #13133199	C₂³	semidirect
438. #13133199	C₂³	semidirect
439. #13133199	C₂³	semidirect
440. #13133199	C₂³	semidirect
441. #13133199	C₂³	semidirect
444. #13133198	C₂³	semidirect
445. #13133198	C₂³	semidirect
446. #13133198	C₂³	semidirect
451. #13133197	C₂³	semidirect
452. #13133197	C₂³	semidirect
453. #13133197	C₂³	semidirect
454. #13133197	C₂³	semidirect
455. #13133197	C₂³	semidirect
456. #13133197	C₂³	semidirect
457. #13133197	C₂³	semidirect
462. #13133196	C₂³	semidirect
463. #13133196	C₂³	semidirect
464. #13133196	C₂³	semidirect
465. #13133196	C₂³	semidirect
466. #13133196	C₂³	semidirect
467. #13133196	C₂³	semidirect
468. #13133196	C₂³	semidirect
474. #13133195	C₂³	semidirect
475. #13133195	C₂³	semidirect
476. #13133195	C₂³	semidirect
477. #13133195	C₂³	semidirect
478. #13133195	C₂³	semidirect
479. #13133195	C₂³	semidirect
480. #13133195	C₂³	semidirect
481. #13133195	C₂³	semidirect
482. #13133195	C₂³	semidirect
483. #13133195	C₂³	semidirect
484. #13133195	C₂³	semidirect
485. #13133195	C₂³	semidirect
486. #13133195	C₂³	semidirect
492. #13133194	C₂³	semidirect
493. #13133194	C₂³	semidirect
494. #13133194	C₂³	semidirect
495. #13133194	C₂³	semidirect
496. #13133194	C₂³	semidirect
497. #13133194	C₂³	semidirect
498. #13133194	C₂³	semidirect
499. #13133194	C₂³	semidirect
500. #13133194	C₂³	semidirect
501. #13133194	C₂³	semidirect
502. #13133194	C₂³	semidirect
503. #13133194	C₂³	semidirect
504. #13133194	C₂³	semidirect
509. #13133193	C₂³	semidirect
510. #13133193	C₂³	semidirect
511. #13133193	C₂³	semidirect
512. #13133193	C₂³	semidirect
513. #13133193	C₂³	semidirect
514. #13133193	C₂³	semidirect
515. #13133193	C₂³	semidirect
519. #13133192	C₂³	semidirect
523. #13133191	C₂³	semidirect
528. #13133190	C₂³	semidirect
529. #13133190	C₂³	semidirect
534. #13133189	C₂³	semidirect
535. #13133189	C₂³	semidirect
539. #13133188	C₂³	semidirect
547. Q₈×Dic₅₃	C₂³	semidirect
548. Q₈×Dic₅₃	C₂³	semidirect
549. Q₈×Dic₅₃	C₂³	semidirect
550. Q₈×Dic₅₃	C₂³	semidirect
551. C₄×Dic₁₀₆	C₂³	semidirect
552. C₄×Dic₁₀₆	C₂³	semidirect
553. C₄×Dic₁₀₆	C₂³	semidirect
554. C₄×Dic₁₀₆	C₂³	semidirect
555. C₄×Dic₁₀₆	C₂³	semidirect
556. C₄×Dic₁₀₆	C₂³	semidirect
557. C₄×Dic₁₀₆	C₂³	semidirect
558. C₄×Dic₁₀₆	C₂³	semidirect
559. #13133182	C₂³	semidirect
560. #13133182	C₂³	semidirect
561. #13133182	C₂³	semidirect
562. #13133182	C₂³	semidirect
563. #13133182	C₂³	semidirect
564. #13133182	C₂³	semidirect
565. #13133182	C₂³	semidirect
566. #13133182	C₂³	semidirect
570. C₄×D₂₁₂	C₂³	semidirect
571. C₄×D₂₁₂	C₂³	semidirect
575. D₄×Dic₅₃	C₂³	semidirect
576. D₄×Dic₅₃	C₂³	semidirect
580. #13133179	C₂³	semidirect
581. #13133179	C₂³	semidirect
587. C₄×C₂²⋊D₅₃	C₂³	semidirect
588. C₄×C₂²⋊D₅₃	C₂³	semidirect
589. C₄×C₂²⋊D₅₃	C₂³	semidirect
595. #13133177	C₂³	semidirect
596. #13133177	C₂³	semidirect
597. #13133177	C₂³	semidirect
599. #13133176	C₂³	semidirect
600. #13133176	C₂³	semidirect
603. #13133175	C₂³	semidirect
604. #13133175	C₂³	semidirect
605. #13133175	C₂³	semidirect
606. #13133175	C₂³	semidirect
608. #13133174	C₂³	semidirect
609. #13133174	C₂³	semidirect
610. #13133174	C₂³	semidirect
611. #13133174	C₂³	semidirect
613. #13133173	C₂³	semidirect
614. #13133173	C₂³	semidirect
615. #13133173	C₂³	semidirect
616. #13133173	C₂³	semidirect
681. C₂²×Q₈×C₅₃	C₂³	semidirect
683. C₄⋊Q₈×C₅₃	C₂³	semidirect
684. C₄⋊Q₈×C₅₃	C₂³	semidirect
685. C₄⋊Q₈×C₅₃	C₂³	semidirect
686. C₄⋊Q₈×C₅₃	C₂³	semidirect
687. #126×C₅₃	C₂³	semidirect
688. #126×C₅₃	C₂³	semidirect
689. #126×C₅₃	C₂³	semidirect
690. #126×C₅₃	C₂³	semidirect
691. #125×C₅₃	C₂³	semidirect
692. #125×C₅₃	C₂³	semidirect
698. #124×C₅₃	C₂³	semidirect
699. #124×C₅₃	C₂³	semidirect
700. #124×C₅₃	C₂³	semidirect
703. #123×C₅₃	C₂³	semidirect
704. #123×C₅₃	C₂³	semidirect
705. #123×C₅₃	C₂³	semidirect
710. C₂²⋊Q₈×C₅₃	C₂³	semidirect
711. C₂²⋊Q₈×C₅₃	C₂³	semidirect
712. C₂²⋊Q₈×C₅₃	C₂³	semidirect
713. C₂²⋊Q₈×C₅₃	C₂³	semidirect
714. C₂²⋊Q₈×C₅₃	C₂³	semidirect
715. C₂²⋊Q₈×C₅₃	C₂³	semidirect
716. C₂²⋊Q₈×C₅₃	C₂³	semidirect
720. #121×C₅₃	C₂³	semidirect
722. C₄×Q₈×C₅₃	C₂³	semidirect
723. C₄×Q₈×C₅₃	C₂³	semidirect
724. C₄×Q₈×C₅₃	C₂³	semidirect
725. C₄×Q₈×C₅₃	C₂³	semidirect
729. C₄×D₄×C₅₃	C₂³	semidirect
730. C₄×D₄×C₅₃	C₂³	semidirect
732. #117×C₅₃	C₂³	semidirect
733. #117×C₅₃	C₂³	semidirect
1219. #3561	D₅₃	direct (N × H)
1244. D₅₃	#3561	direct (N × H)
1258. #563	C₂×D₅₃	semidirect
1268. #562	C₂×D₅₃	semidirect
1280. #556	C₂×D₅₃	semidirect
1296. #551	C₂×D₅₃	semidirect
1308. D₄×Q₈	C₂×D₅₃	semidirect
1320. #548	C₂×D₅₃	semidirect
1332. #546	C₂×D₅₃	semidirect
1342. #543	C₂×D₅₃	semidirect
1369. #542	C₂×D₅₃	semidirect
1370. #542	C₂×D₅₃	semidirect
1380. #538	C₂×D₅₃	semidirect
1392. #536	C₂×D₅₃	semidirect
1402. #533	C₂×D₅₃	semidirect
1418. #529	C₂×D₅₃	semidirect
1442. C₂×#124	C₂×D₅₃	semidirect
1480. C₅₃	C₂×#3561	semidirect
1507. C₂²×Q₈	C₂²×D₅₃	semidirect
1548. C₄⋊Q₈	C₂²×D₅₃	semidirect
1549. C₄⋊Q₈	C₂²×D₅₃	semidirect
1550. C₄⋊Q₈	C₂²×D₅₃	semidirect
1551. C₄⋊Q₈	C₂²×D₅₃	semidirect
1580. #126	C₂²×D₅₃	semidirect
1581. #126	C₂²×D₅₃	semidirect
1582. #126	C₂²×D₅₃	semidirect
1583. #126	C₂²×D₅₃	semidirect
1594. #125	C₂²×D₅₃	semidirect
1595. #125	C₂²×D₅₃	semidirect
1645. #124	C₂²×D₅₃	semidirect
1646. #124	C₂²×D₅₃	semidirect
1647. #124	C₂²×D₅₃	semidirect
1685. #123	C₂²×D₅₃	semidirect
1686. #123	C₂²×D₅₃	semidirect
1687. #123	C₂²×D₅₃	semidirect
1761. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1762. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1763. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1764. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1765. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1766. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1767. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1795. #121	C₂²×D₅₃	semidirect
1824. C₄×Q₈	C₂²×D₅₃	semidirect
1825. C₄×Q₈	C₂²×D₅₃	semidirect
1826. C₄×Q₈	C₂²×D₅₃	semidirect
1827. C₄×Q₈	C₂²×D₅₃	semidirect
1862. C₄×D₄	C₂²×D₅₃	semidirect
1863. C₄×D₄	C₂²×D₅₃	semidirect
1884. #117	C₂²×D₅₃	semidirect
1885. #117	C₂²×D₅₃	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#20289287	2
#20289286	2
#20289285	2
#20289284	2
#20289283	2
#20289282	2
#20289281	2
#20289280	2
#20289279	2
#20289278	2
#20289277	2
#20289276	2
#20289275	2
#20289274	2
#20289273	2
#563×D₅₃	2
#562×D₅₃	2
#556×D₅₃	2
#551×D₅₃	2
D₄×Q₈×D₅₃	2
#548×D₅₃	2
#546×D₅₃	2
#543×D₅₃	2
#542×D₅₃	2
#538×D₅₃	2
#536×D₅₃	2
#533×D₅₃	2
#529×D₅₃	2
C₂×#124×D₅₃	2
C₅₃×#3561	2
C₂×#3561	53

Subgroups — D53×#3561 #28291430

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#3561 #28291430