Subgroups — D₅₃×#3545 #28291839

Order 13568.

7430 conjugacy classes of subgroups.

The subgroup lattice has 2234 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289073	C₂	1	1	yes	maximal, characteristic, complemented
2	#20289072	C₂	1	1	yes	maximal, characteristic, complemented
3	#20289071	C₂	1	4	yes	maximal, complemented
4	#20289070	C₂	1	1	yes	maximal, characteristic, complemented
5	#20289069	C₂	1	2	yes	maximal, complemented
6	#20289068	C₂	1	2	yes	maximal, complemented
7	#20289067	C₂	1	2	yes	maximal, complemented
8	#20289066	C₂	1	4	yes	maximal, complemented
9	#20289065	C₂	1	2	yes	maximal, complemented
10	#20289064	C₂	1	2	yes	maximal, complemented
11	#20289063	C₂	1	4	yes	maximal, complemented
12	#20289062	C₂	1	4	yes	maximal, complemented
13	#20289061	C₂	1	2	yes	maximal, complemented
14	#563×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#562×D₅₃	C₂	1	2	yes	maximal, complemented
16	H(3,𝔽₄)×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
17	#555×D₅₃	C₂	1	2	yes	maximal, complemented
18	#551×D₅₃	C₂	1	2	yes	maximal, complemented
19	#551×D₅₃	C₂	1	4	yes	maximal, complemented
20	#546×D₅₃	C₂	1	4	yes	maximal, complemented
21	#542×D₅₃	C₂	1	4	yes	maximal, complemented
22	#538×D₅₃	C₂	1	4	yes	maximal, complemented
23	#536×D₅₃	C₂	1	2	yes	maximal, complemented
24	#534×D₅₃	C₂	1	2	yes	maximal, complemented
25	#529×D₅₃	C₂	1	2	yes	maximal, complemented
26	C₂×#124×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#3545	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#41×D₅₃	C₂²	1	2	yes	—
29	C₂²×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
30	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
31	C₂²×D₄×D₅₃	C₂²	1	2	yes	complemented
32	#16811377	C₂²	1	2	yes	complemented
33	#16811376	C₂²	1	2	yes	complemented
34	#16811375	C₂²	1	4	yes	complemented
35	#16811374	C₂²	1	4	yes	complemented
36	#16811373	C₂²	1	1	yes	characteristic, complemented
37	#16811372	C₂²	1	2	yes	complemented
38	#16811371	C₂²	1	2	yes	complemented
39	#16811370	C₂²	1	4	yes	complemented
40	#16811370	C₂²	1	4	yes	complemented
41	#16811369	C₂²	1	4	yes	complemented
42	#16811369	C₂²	1	4	yes	complemented
43	#16811368	C₂²	1	4	yes	complemented
44	#16811368	C₂²	1	4	yes	complemented
45	#16811367	C₂²	1	2	yes	complemented
46	#16811367	C₂²	1	2	yes	complemented
47	#16811366	C₂²	1	2	yes	complemented
48	#16811366	C₂²	1	4	yes	complemented
49	#16811365	C₂²	1	1	yes	characteristic, complemented
50	#16811365	C₂²	1	4	yes	complemented
51	#16811365	C₂²	1	2	yes	complemented
52	#16811365	C₂²	1	2	yes	complemented
53	#16811339	C₂²	1	2	yes	complemented
54	#16811338	C₂²	1	4	yes	complemented
55	#16811337	C₂²	1	4	yes	complemented
56	#16811337	C₂²	1	4	yes	complemented
57	#16811336	C₂²	1	4	yes	complemented
58	#16811336	C₂²	1	4	yes	complemented
59	#16811335	C₂²	1	2	yes	complemented
60	#16811335	C₂²	1	4	yes	complemented
61	#16811335	C₂²	1	2	yes	complemented
62	#16811304	C₂²	1	2	yes	complemented
63	#16811304	C₂²	1	4	yes	complemented
64	#16811303	C₂²	1	2	yes	complemented
65	#16811303	C₂²	1	4	yes	complemented
66	#16811302	C₂²	1	4	yes	complemented
67	#16811302	C₂²	1	4	yes	complemented
68	#16811302	C₂²	1	4	yes	complemented
69	#16811301	C₂²	1	2	yes	complemented
70	#16811301	C₂²	1	4	yes	complemented
71	#16811300	C₂²	1	4	yes	complemented
72	#16811300	C₂²	1	4	yes	complemented
73	#16811300	C₂²	1	4	yes	complemented
74	#16811299	C₂²	1	4	yes	complemented
75	#16811299	C₂²	1	4	yes	complemented
76	#16811299	C₂²	1	4	yes	complemented
77	#16811298	C₂²	1	4	yes	complemented
78	#16811298	C₂²	1	4	yes	complemented
79	#16811298	C₂²	1	4	yes	complemented
80	#16811297	C₂²	1	4	yes	complemented
81	#16811297	C₂²	1	4	yes	complemented
82	#16811297	C₂²	1	4	yes	complemented
83	#16811296	C₂²	1	4	yes	complemented
84	#16811296	C₂²	1	4	yes	complemented
85	#16811296	C₂²	1	4	yes	complemented
86	#16811270	C₂²	1	4	yes	complemented
87	#16811269	C₂²	1	4	yes	complemented
88	#16811268	C₂²	1	4	yes	complemented
89	#16811267	C₂²	1	4	yes	complemented
90	#16811266	C₂²	1	4	yes	complemented
91	#16811265	C₂²	1	4	yes	complemented
92	#16811265	C₂²	1	4	yes	complemented
93	#16811264	C₂²	1	4	yes	complemented
94	#16811263	C₂²	1	4	yes	complemented
95	#16811263	C₂²	1	4	yes	complemented
96	#16811262	C₂²	1	4	yes	complemented
97	#16811262	C₂²	1	4	yes	complemented
98	#16811261	C₂²	1	4	yes	complemented
99	#16811260	C₂²	1	4	yes	complemented
100	#16811260	C₂²	1	4	yes	complemented
101	#16811247	C₂²	1	4	yes	complemented
102	#16811246	C₂²	1	4	yes	complemented
103	#16811245	C₂²	1	4	yes	complemented
104	#16811244	C₂²	1	4	yes	complemented
105	#16811243	C₂²	1	4	yes	complemented
106	#16811243	C₂²	1	4	yes	complemented
107	#16811242	C₂²	1	4	yes	complemented
108	#16811241	C₂²	1	4	yes	complemented
109	#16811241	C₂²	1	4	yes	complemented
110	#16811240	C₂²	1	4	yes	complemented
111	#16811239	C₂²	1	4	yes	complemented
112	#16811239	C₂²	1	4	yes	complemented
113	#16811238	C₂²	1	4	yes	complemented
114	#16811237	C₂²	1	4	yes	complemented
115	#16811237	C₂²	1	4	yes	complemented
116	#16811213	C₂²	1	4	yes	complemented
117	#16811212	C₂²	1	4	yes	complemented
118	#16811212	C₂²	1	4	yes	complemented
119	#16811211	C₂²	1	4	yes	complemented
120	#16811210	C₂²	1	4	yes	complemented
121	#16811209	C₂²	1	4	yes	complemented
122	#16811209	C₂²	1	4	yes	complemented
123	#16811208	C₂²	1	4	yes	complemented
124	#16811208	C₂²	1	4	yes	complemented
125	#16811207	C₂²	1	4	yes	complemented
126	#16811207	C₂²	1	4	yes	complemented
127	#16811206	C₂²	1	4	yes	complemented
128	#16811206	C₂²	1	4	yes	complemented
129	#16811205	C₂²	1	4	yes	complemented
130	#16811205	C₂²	1	4	yes	complemented
131	#16811199	C₂²	1	2	yes	complemented
132	#16811198	C₂²	1	2	yes	complemented
133	#16811198	C₂²	1	2	yes	complemented
134	#16811197	C₂²	1	2	yes	complemented
135	#16811196	C₂²	1	4	yes	complemented
136	#16811196	C₂²	1	4	yes	complemented
137	#16811195	C₂²	1	4	yes	complemented
138	#16811195	C₂²	1	4	yes	complemented
139	#16811194	C₂²	1	2	yes	complemented
140	#16811193	C₂²	1	2	yes	complemented
141	#16811193	C₂²	1	2	yes	complemented
142	#16811185	C₂²	1	2	yes	complemented
143	#16811184	C₂²	1	2	yes	complemented
144	#16811184	C₂²	1	4	yes	complemented
145	#16811184	C₂²	1	2	yes	complemented
146	#16811183	C₂²	1	2	yes	complemented
147	#16811183	C₂²	1	4	yes	complemented
148	#16811183	C₂²	1	2	yes	complemented
149	#16811182	C₂²	1	2	yes	complemented
150	#16811182	C₂²	1	2	yes	complemented
151	#16811181	C₂²	1	4	yes	complemented
152	#16811181	C₂²	1	4	yes	complemented
153	C₄⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
154	C₄⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
155	#16811160	C₂²	1	2	yes	complemented
156	#16811159	C₂²	1	2	yes	complemented
157	#16811158	C₂²	1	2	yes	complemented
158	#16811157	C₂²	1	2	yes	complemented
159	#16811156	C₂²	1	4	yes	complemented
160	#16811155	C₂²	1	2	yes	complemented
161	#16811154	C₂²	1	2	yes	complemented
162	#16811153	C₂²	1	4	yes	complemented
163	#16811152	C₂²	1	2	yes	complemented
164	#16811151	C₂²	1	4	yes	complemented
165	#16811150	C₂²	1	4	yes	complemented
166	#126×D₅₃	C₂²	1	4	yes	complemented
167	#126×D₅₃	C₂²	1	4	yes	complemented
168	#126×D₅₃	C₂²	1	4	yes	complemented
169	#125×D₅₃	C₂²	1	2	yes	complemented
170	C₂×#13133206	C₂²	1	1	yes	characteristic, complemented
171	C₂×#13133205	C₂²	1	1	yes	characteristic, complemented
172	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
173	C₂×#13133203	C₂²	1	4	yes	complemented
174	#124×D₅₃	C₂²	1	1	yes	characteristic
175	#124×D₅₃	C₂²	1	1	yes	characteristic
176	#124×D₅₃	C₂²	1	1	yes	characteristic, complemented
177	#124×D₅₃	C₂²	1	1	yes	characteristic, complemented
178	#124×D₅₃	C₂²	1	2	yes	complemented
179	#124×D₅₃	C₂²	1	2	yes	complemented
180	#124×D₅₃	C₂²	1	4	yes	complemented
181	#124×D₅₃	C₂²	1	2	yes	complemented
182	#124×D₅₃	C₂²	1	4	yes	complemented
183	#124×D₅₃	C₂²	1	1	yes	characteristic, complemented
184	#124×D₅₃	C₂²	1	4	yes	complemented
185	#124×D₅₃	C₂²	1	1	yes	characteristic, complemented
186	#124×D₅₃	C₂²	1	4	yes	complemented
187	#124×D₅₃	C₂²	1	1	yes	characteristic, complemented
188	#124×D₅₃	C₂²	1	1	yes	characteristic, complemented
189	#123×D₅₃	C₂²	1	2	yes	—
190	#123×D₅₃	C₂²	1	4	yes	complemented
191	#123×D₅₃	C₂²	1	2	yes	complemented
192	#123×D₅₃	C₂²	1	4	yes	complemented
193	#123×D₅₃	C₂²	1	4	yes	complemented
194	#123×D₅₃	C₂²	1	4	yes	complemented
195	#123×D₅₃	C₂²	1	4	yes	complemented
196	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
197	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
198	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
199	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
200	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
201	#121×D₅₃	C₂²	1	4	yes	—
202	#121×D₅₃	C₂²	1	2	yes	—
203	#121×D₅₃	C₂²	1	4	yes	complemented
204	#121×D₅₃	C₂²	1	4	yes	complemented
205	#121×D₅₃	C₂²	1	4	yes	complemented
206	#120×D₅₃	C₂²	1	2	yes	—
207	#120×D₅₃	C₂²	1	4	yes	—
208	#120×D₅₃	C₂²	1	2	yes	complemented
209	#120×D₅₃	C₂²	1	4	yes	complemented
210	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
211	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
212	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
213	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
214	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
215	#117×D₅₃	C₂²	1	2	yes	complemented
216	#117×D₅₃	C₂²	1	4	yes	complemented
217	#117×D₅₃	C₂²	1	4	yes	complemented
218	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
219	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	complemented
220	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	complemented
221	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
222	C₅₃×#563	C₂²	1	1	yes	characteristic, complemented
223	C₅₃×#562	C₂²	1	2	yes	complemented
224	C₅₃×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
225	C₅₃×#555	C₂²	1	2	yes	complemented
226	C₅₃×#551	C₂²	1	2	yes	complemented
227	C₅₃×#551	C₂²	1	4	yes	complemented
228	C₅₃×#546	C₂²	1	4	yes	complemented
229	C₅₃×#542	C₂²	1	4	yes	complemented
230	C₅₃×#538	C₂²	1	4	yes	complemented
231	C₅₃×#536	C₂²	1	2	yes	complemented
232	C₅₃×#534	C₂²	1	2	yes	complemented
233	C₅₃×#529	C₂²	1	2	yes	complemented
234	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic, complemented
235	C₂⁴×D₅₃	C₂³	1	2	yes	—
236	C₂⁴×D₅₃	C₂³	1	2	yes	—
237	C₂×#11719949	C₂³	1	2	yes	—
238	C₂×#11719945	C₂³	1	2	yes	—
239	C₂×#11719945	C₂³	1	4	yes	—
240	C₂×#11719947	C₂³	1	4	yes	—
241	C₂×#11719947	C₂³	1	2	yes	—
242	#41×D₅₃	—	4	8	no	—
243	C₂²×Dic₁₀₆	C₂³	1	2	yes	complemented
244	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
245	C₂×Q₈×D₅₃	—	4	4	no	—
246	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
247	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
248	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
249	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
250	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
251	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic, complemented
252	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
253	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic, complemented
254	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
255	C₂²×D₂₁₂	C₂³	1	2	yes	complemented
256	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
257	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
258	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
259	C₂×D₄×D₅₃	—	4	4	no	—
260	C₂×D₄×D₅₃	—	4	8	no	—
261	C₂×D₄×D₅₃	C₂³	1	4	yes	—
262	C₂×D₄×D₅₃	C₂³	1	4	yes	—
263	C₂×D₄×D₅₃	C₂³	1	4	yes	—
264	C₂×D₄×D₅₃	C₂³	1	2	yes	—
265	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
266	C₂×D₄×D₅₃	C₂³	1	2	yes	—
267	C₂×D₄×D₅₃	C₂³	1	2	yes	—
268	C₂×D₄×D₅₃	C₂³	1	4	yes	—
269	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
270	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
271	C₂×D₄×D₅₃	C₂³	1	2	yes	—
272	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
273	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
274	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
275	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
276	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
277	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
278	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
279	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
280	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
281	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
282	#13133217	C₂³	1	2	yes	complemented
283	#13133217	C₂³	1	2	yes	complemented
284	#13133216	C₂³	1	4	yes	complemented
285	#13133216	C₂³	1	4	yes	complemented
286	#13133216	C₂³	1	4	yes	complemented
287	#13133216	C₂³	1	4	yes	complemented
288	#13133215	C₂³	1	2	yes	complemented
289	#13133215	C₂³	1	2	yes	complemented
290	#13133215	C₂³	1	2	yes	complemented
291	#13133215	C₂³	1	2	yes	complemented
292	#13133212	C₂³	1	4	yes	complemented
293	#13133212	C₂³	1	4	yes	complemented
294	#13133212	C₂³	1	4	yes	complemented
295	#13133212	C₂³	1	4	yes	complemented
296	#13133212	C₂³	1	4	yes	complemented
297	#13133212	C₂³	1	4	yes	complemented
298	#13133212	C₂³	1	4	yes	complemented
299	#13133212	C₂³	1	4	yes	complemented
300	#13133212	C₂³	1	4	yes	complemented
301	#13133211	C₂³	1	4	yes	complemented
302	#13133211	C₂³	1	4	yes	complemented
303	#13133211	C₂³	1	4	yes	complemented
304	#13133210	C₂³	1	4	yes	complemented
305	#13133210	C₂³	1	4	yes	complemented
306	#13133210	C₂³	1	4	yes	complemented
307	#13133210	C₂³	1	4	yes	complemented
308	#13133210	C₂³	1	4	yes	complemented
309	#13133210	C₂³	1	4	yes	complemented
310	#13133210	C₂³	1	4	yes	complemented
311	#13133210	C₂³	1	4	yes	complemented
312	#13133210	C₂³	1	4	yes	complemented
313	#13133209	C₂³	1	2	yes	complemented
314	#13133208	C₂³	1	2	yes	complemented
315	#13133208	C₂³	1	2	yes	complemented
316	#13133207	C₂³	1	4	yes	complemented
317	#13133207	C₂³	1	4	yes	complemented
318	#13133206	C₂³	1	1	yes	characteristic
319	#13133206	C₂³	1	1	yes	characteristic
320	#13133206	C₂³	1	4	yes	complemented
321	#13133206	C₂³	1	4	yes	complemented
322	#13133206	C₂³	1	1	yes	characteristic, complemented
323	#13133206	C₂³	1	2	yes	complemented
324	#13133206	C₂³	1	2	yes	complemented
325	#13133206	C₂³	1	1	yes	characteristic, complemented
326	#13133206	C₂³	1	4	yes	complemented
327	#13133206	C₂³	1	2	yes	complemented
328	#13133205	C₂³	1	1	yes	characteristic
329	#13133205	C₂³	1	1	yes	characteristic
330	#13133205	C₂³	1	4	yes	complemented
331	#13133205	C₂³	1	4	yes	complemented
332	#13133205	C₂³	1	1	yes	characteristic, complemented
333	#13133205	C₂³	1	2	yes	complemented
334	#13133205	C₂³	1	2	yes	complemented
335	#13133205	C₂³	1	1	yes	characteristic, complemented
336	#13133205	C₂³	1	4	yes	complemented
337	#13133205	C₂³	1	2	yes	complemented
338	#13133204	C₂³	1	1	yes	characteristic
339	#13133204	C₂³	1	1	yes	characteristic
340	#13133204	C₂³	1	4	yes	complemented
341	#13133204	C₂³	1	4	yes	complemented
342	#13133204	C₂³	1	1	yes	characteristic, complemented
343	#13133204	C₂³	1	2	yes	complemented
344	#13133204	C₂³	1	2	yes	complemented
345	#13133204	C₂³	1	1	yes	characteristic, complemented
346	#13133204	C₂³	1	4	yes	complemented
347	#13133204	C₂³	1	2	yes	complemented
348	#13133203	C₂³	1	4	yes	—
349	#13133203	C₂³	1	4	yes	—
350	#13133203	C₂³	1	4	yes	complemented
351	#13133203	C₂³	1	4	yes	complemented
352	#13133203	C₂³	1	4	yes	complemented
353	#13133203	C₂³	1	4	yes	complemented
354	#13133203	C₂³	1	4	yes	complemented
355	#13133203	C₂³	1	4	yes	complemented
356	#13133203	C₂³	1	4	yes	complemented
357	#13133203	C₂³	1	4	yes	complemented
358	#13133203	C₂³	1	4	yes	complemented
359	#13133203	C₂³	1	4	yes	complemented
360	#13133203	C₂³	1	4	yes	complemented
361	#13133203	C₂³	1	4	yes	complemented
362	#13133203	C₂³	1	4	yes	complemented
363	#13133203	C₂³	1	4	yes	complemented
364	#13133203	C₂³	1	4	yes	complemented
365	#13133203	C₂³	1	4	yes	complemented
366	#13133203	C₂³	1	4	yes	complemented
367	#13133203	C₂³	1	4	yes	complemented
368	#13133203	C₂³	1	4	yes	complemented
369	#13133203	C₂³	1	4	yes	complemented
370	#13133202	C₂³	1	4	yes	—
371	#13133202	C₂³	1	4	yes	complemented
372	#13133202	C₂³	1	4	yes	complemented
373	#13133202	C₂³	1	4	yes	complemented
374	#13133202	C₂³	1	4	yes	complemented
375	#13133202	C₂³	1	4	yes	complemented
376	#13133202	C₂³	1	4	yes	complemented
377	#13133202	C₂³	1	4	yes	complemented
378	#13133202	C₂³	1	4	yes	complemented
379	#13133202	C₂³	1	4	yes	complemented
380	#13133202	C₂³	1	4	yes	complemented
381	#13133202	C₂³	1	4	yes	complemented
382	#13133201	C₂³	1	2	yes	—
383	#13133201	C₂³	1	4	yes	complemented
384	#13133201	C₂³	1	4	yes	complemented
385	#13133201	C₂³	1	4	yes	complemented
386	#13133201	C₂³	1	4	yes	complemented
387	#13133201	C₂³	1	4	yes	complemented
388	#13133201	C₂³	1	2	yes	complemented
389	#13133200	C₂³	1	2	yes	—
390	#13133200	C₂³	1	4	yes	complemented
391	#13133200	C₂³	1	4	yes	complemented
392	#13133200	C₂³	1	4	yes	complemented
393	#13133200	C₂³	1	4	yes	complemented
394	#13133200	C₂³	1	4	yes	complemented
395	#13133200	C₂³	1	2	yes	complemented
396	#13133199	C₂³	1	4	yes	—
397	#13133199	C₂³	1	4	yes	complemented
398	#13133199	C₂³	1	4	yes	complemented
399	#13133199	C₂³	1	4	yes	complemented
400	#13133199	C₂³	1	4	yes	complemented
401	#13133199	C₂³	1	4	yes	complemented
402	#13133199	C₂³	1	4	yes	complemented
403	#13133199	C₂³	1	4	yes	complemented
404	#13133199	C₂³	1	4	yes	complemented
405	#13133199	C₂³	1	4	yes	complemented
406	#13133199	C₂³	1	4	yes	complemented
407	#13133199	C₂³	1	4	yes	complemented
408	#13133198	C₂³	1	2	yes	—
409	#13133198	C₂³	1	4	yes	complemented
410	#13133198	C₂³	1	4	yes	complemented
411	#13133198	C₂³	1	4	yes	complemented
412	#13133198	C₂³	1	4	yes	complemented
413	#13133198	C₂³	1	4	yes	complemented
414	#13133198	C₂³	1	2	yes	complemented
415	#13133197	C₂³	1	4	yes	complemented
416	#13133197	C₂³	1	2	yes	complemented
417	#13133197	C₂³	1	4	yes	complemented
418	#13133197	C₂³	1	4	yes	complemented
419	#13133197	C₂³	1	4	yes	complemented
420	#13133196	C₂³	1	4	yes	complemented
421	#13133196	C₂³	1	2	yes	complemented
422	#13133196	C₂³	1	4	yes	complemented
423	#13133196	C₂³	1	4	yes	complemented
424	#13133196	C₂³	1	4	yes	complemented
425	#13133195	C₂³	1	4	yes	complemented
426	#13133195	C₂³	1	4	yes	complemented
427	#13133195	C₂³	1	4	yes	complemented
428	#13133195	C₂³	1	4	yes	complemented
429	#13133195	C₂³	1	4	yes	complemented
430	#13133195	C₂³	1	4	yes	complemented
431	#13133195	C₂³	1	4	yes	complemented
432	#13133195	C₂³	1	4	yes	complemented
433	#13133195	C₂³	1	4	yes	complemented
434	#13133194	C₂³	1	4	yes	complemented
435	#13133194	C₂³	1	4	yes	complemented
436	#13133194	C₂³	1	4	yes	complemented
437	#13133194	C₂³	1	4	yes	complemented
438	#13133194	C₂³	1	4	yes	complemented
439	#13133194	C₂³	1	4	yes	complemented
440	#13133194	C₂³	1	4	yes	complemented
441	#13133194	C₂³	1	4	yes	complemented
442	#13133194	C₂³	1	4	yes	complemented
443	#13133193	C₂³	1	4	yes	complemented
444	#13133193	C₂³	1	2	yes	complemented
445	#13133193	C₂³	1	4	yes	complemented
446	#13133193	C₂³	1	4	yes	complemented
447	#13133193	C₂³	1	4	yes	complemented
448	#13133192	C₂³	1	2	yes	—
449	#13133192	C₂³	1	4	yes	—
450	#13133192	C₂³	1	4	yes	complemented
451	#13133192	C₂³	1	4	yes	complemented
452	#13133192	C₂³	1	4	yes	complemented
453	#13133191	C₂³	1	2	yes	—
454	#13133191	C₂³	1	4	yes	—
455	#13133191	C₂³	1	4	yes	complemented
456	#13133191	C₂³	1	4	yes	complemented
457	#13133191	C₂³	1	4	yes	complemented
458	#13133190	C₂³	1	4	yes	—
459	#13133190	C₂³	1	4	yes	—
460	#13133190	C₂³	1	4	yes	—
461	#13133190	C₂³	1	4	yes	complemented
462	#13133190	C₂³	1	4	yes	complemented
463	#13133190	C₂³	1	4	yes	complemented
464	#13133190	C₂³	1	4	yes	complemented
465	#13133190	C₂³	1	4	yes	complemented
466	#13133190	C₂³	1	4	yes	complemented
467	#13133189	C₂³	1	4	yes	—
468	#13133189	C₂³	1	4	yes	—
469	#13133189	C₂³	1	4	yes	—
470	#13133189	C₂³	1	4	yes	complemented
471	#13133189	C₂³	1	4	yes	complemented
472	#13133189	C₂³	1	4	yes	complemented
473	#13133189	C₂³	1	4	yes	complemented
474	#13133189	C₂³	1	4	yes	complemented
475	#13133189	C₂³	1	4	yes	complemented
476	#13133188	C₂³	1	2	yes	—
477	#13133188	C₂³	1	4	yes	—
478	#13133188	C₂³	1	4	yes	complemented
479	#13133188	C₂³	1	4	yes	complemented
480	#13133188	C₂³	1	4	yes	complemented
481	#13133187	C₂³	1	4	yes	—
482	#13133187	C₂³	1	4	yes	—
483	#13133187	C₂³	1	4	yes	—
484	#13133187	C₂³	1	4	yes	—
485	#13133187	C₂³	1	2	yes	—
486	#13133187	C₂³	1	4	yes	complemented
487	#13133187	C₂³	1	4	yes	complemented
488	#13133187	C₂³	1	4	yes	complemented
489	#13133187	C₂³	1	4	yes	complemented
490	#13133187	C₂³	1	2	yes	complemented
491	#13133186	C₂³	1	4	yes	—
492	#13133186	C₂³	1	2	yes	—
493	#13133186	C₂³	1	4	yes	complemented
494	#13133186	C₂³	1	2	yes	complemented
495	#13133185	C₂³	1	4	yes	—
496	#13133185	C₂³	1	4	yes	—
497	#13133185	C₂³	1	4	yes	—
498	#13133185	C₂³	1	4	yes	—
499	#13133185	C₂³	1	2	yes	—
500	#13133185	C₂³	1	4	yes	complemented
501	#13133185	C₂³	1	4	yes	complemented
502	#13133185	C₂³	1	4	yes	complemented
503	#13133185	C₂³	1	4	yes	complemented
504	#13133185	C₂³	1	2	yes	complemented
505	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
506	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
507	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
508	#13133182	C₂³	1	4	yes	complemented
509	#13133182	C₂³	1	2	yes	complemented
510	C₄×D₂₁₂	C₂³	1	4	yes	complemented
511	C₄×D₂₁₂	C₂³	1	4	yes	complemented
512	C₄×D₂₁₂	C₂³	1	4	yes	complemented
513	C₄×D₂₁₂	C₂³	1	2	yes	complemented
514	D₄×Dic₅₃	C₂³	1	4	yes	complemented
515	D₄×Dic₅₃	C₂³	1	4	yes	complemented
516	D₄×Dic₅₃	C₂³	1	4	yes	complemented
517	D₄×Dic₅₃	C₂³	1	2	yes	complemented
518	#13133179	C₂³	1	4	yes	complemented
519	#13133179	C₂³	1	4	yes	complemented
520	#13133179	C₂³	1	4	yes	complemented
521	#13133179	C₂³	1	2	yes	complemented
522	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
523	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
524	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
525	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
526	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
527	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
528	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
529	#13133177	C₂³	1	4	yes	complemented
530	#13133177	C₂³	1	4	yes	complemented
531	#13133177	C₂³	1	4	yes	complemented
532	#13133177	C₂³	1	4	yes	complemented
533	#13133177	C₂³	1	4	yes	complemented
534	#13133177	C₂³	1	4	yes	complemented
535	#13133177	C₂³	1	4	yes	complemented
536	#13133176	C₂³	1	2	yes	complemented
537	#13133176	C₂³	1	4	yes	complemented
538	#13133176	C₂³	1	4	yes	complemented
539	#13133175	C₂³	1	4	yes	complemented
540	#13133175	C₂³	1	4	yes	complemented
541	#13133175	C₂³	1	4	yes	complemented
542	#13133175	C₂³	1	4	yes	complemented
543	#13133175	C₂³	1	4	yes	complemented
544	#13133174	C₂³	1	2	yes	complemented
545	#13133174	C₂³	1	4	yes	complemented
546	#13133174	C₂³	1	4	yes	complemented
547	#13133174	C₂³	1	2	yes	complemented
548	#13133174	C₂³	1	4	yes	complemented
549	#13133174	C₂³	1	4	yes	complemented
550	#13133173	C₂³	1	4	yes	complemented
551	#13133173	C₂³	1	4	yes	complemented
552	#13133173	C₂³	1	4	yes	complemented
553	#13133173	C₂³	1	4	yes	complemented
554	#13133173	C₂³	1	4	yes	complemented
555	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
556	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
557	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
558	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
559	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
560	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
561	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
562	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
563	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
564	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
565	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
566	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
567	C₂×#11719921	C₂³	1	4	yes	complemented
568	C₂×#11719921	C₂³	1	4	yes	complemented
569	C₂×#11719921	C₂³	1	4	yes	complemented
570	C₂×#11719921	C₂³	1	4	yes	complemented
571	C₂×#11719921	C₂³	1	4	yes	complemented
572	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
573	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
574	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
575	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
576	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
577	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
578	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
579	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
580	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
581	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
582	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
583	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
584	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
585	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
586	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
587	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
588	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
589	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
590	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
591	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
592	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
593	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
594	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
595	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
596	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	complemented
597	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	complemented
598	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
599	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
600	C₄²×D₅₃	C₂³	1	1	yes	characteristic
601	C₄²×D₅₃	C₂³	1	2	yes	—
602	C₄²×D₅₃	C₂³	1	1	yes	characteristic
603	C₄²×D₅₃	C₂³	1	2	yes	—
604	C₄²×D₅₃	C₂³	1	4	yes	—
605	C₄²×D₅₃	C₂³	1	2	yes	—
606	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
607	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
608	C₄²×D₅₃	C₂³	1	2	yes	complemented
609	C₂×#41×C₅₃	C₂³	1	2	yes	—
610	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
611	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
612	C₂²×D₄×C₅₃	C₂³	1	2	yes	complemented
613	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
614	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
615	#126×C₅₃	C₂³	1	4	yes	complemented
616	#126×C₅₃	C₂³	1	4	yes	complemented
617	#126×C₅₃	C₂³	1	4	yes	complemented
618	#125×C₅₃	C₂³	1	2	yes	complemented
619	#124×C₅₃	C₂³	1	1	yes	characteristic
620	#124×C₅₃	C₂³	1	1	yes	characteristic
621	#124×C₅₃	C₂³	1	4	yes	complemented
622	#124×C₅₃	C₂³	1	4	yes	complemented
623	#124×C₅₃	C₂³	1	4	yes	complemented
624	#124×C₅₃	C₂³	1	1	yes	characteristic, complemented
625	#124×C₅₃	C₂³	1	1	yes	characteristic, complemented
626	#124×C₅₃	C₂³	1	2	yes	complemented
627	#124×C₅₃	C₂³	1	2	yes	complemented
628	#124×C₅₃	C₂³	1	2	yes	complemented
629	#123×C₅₃	C₂³	1	2	yes	—
630	#123×C₅₃	C₂³	1	4	yes	complemented
631	#123×C₅₃	C₂³	1	4	yes	complemented
632	#123×C₅₃	C₂³	1	4	yes	complemented
633	#123×C₅₃	C₂³	1	4	yes	complemented
634	#123×C₅₃	C₂³	1	4	yes	complemented
635	#123×C₅₃	C₂³	1	2	yes	complemented
636	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
637	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
638	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
639	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
640	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
641	#121×C₅₃	C₂³	1	2	yes	—
642	#121×C₅₃	C₂³	1	4	yes	—
643	#121×C₅₃	C₂³	1	4	yes	complemented
644	#121×C₅₃	C₂³	1	4	yes	complemented
645	#121×C₅₃	C₂³	1	4	yes	complemented
646	#120×C₅₃	C₂³	1	4	yes	—
647	#120×C₅₃	C₂³	1	2	yes	—
648	#120×C₅₃	C₂³	1	2	yes	complemented
649	#120×C₅₃	C₂³	1	4	yes	complemented
650	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
651	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
652	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
653	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
654	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
655	#117×C₅₃	C₂³	1	2	yes	complemented
656	#117×C₅₃	C₂³	1	4	yes	complemented
657	#117×C₅₃	C₂³	1	4	yes	complemented
658	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
659	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
660	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
661	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic, complemented
662	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
663	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
664	C₂³×D₅₃	—	2	8	no	—
665	C₂³×D₅₃	—	4	4	no	—
666	C₂³×D₅₃	—	4	8	no	—
667	C₂³×D₅₃	—	4	8	no	—
668	C₂³×D₅₃	C₂⁴	1	2	yes	—
669	C₂³×D₅₃	C₂⁴	1	4	yes	—
670	C₂³×D₅₃	C₂⁴	1	2	yes	—
671	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
672	C₂³×D₅₃	C₂⁴	1	2	yes	—
673	C₂³×D₅₃	C₂⁴	1	2	yes	—
674	C₂³×D₅₃	C₂⁴	1	2	yes	—
675	C₂³×D₅₃	C₂⁴	1	2	yes	—
676	C₂³×D₅₃	C₂⁴	1	4	yes	—
677	#41×C₅₃	—	4	4	no	—
678	C₂×Q₈×C₅₃	—	4	2	no	—
679	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
680	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
681	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
682	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
683	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
684	C₂×D₄×C₅₃	—	4	2	no	—
685	C₂×D₄×C₅₃	—	4	4	no	—
686	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
687	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
688	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
689	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
690	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
691	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
692	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
693	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
694	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
695	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
696	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
697	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
698	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
699	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
700	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
701	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
702	C₂×C₂²⋊D₅₃	—	4	4	no	—
703	C₂×C₂²⋊D₅₃	—	4	4	no	—
704	C₂×C₂²⋊D₅₃	—	4	4	no	—
705	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
706	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
707	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
708	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
709	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
710	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
711	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
712	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
713	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
714	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
715	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
716	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
717	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
718	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
719	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
720	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
721	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
722	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
723	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
724	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
725	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
726	#11719949	—	4	4	no	—
727	Q₈×D₅₃	—	4	2	no	—
728	Q₈×D₅₃	—	4	4	no	—
729	Q₈×D₅₃	—	4	2	no	—
730	Q₈×D₅₃	—	4	2	no	—
731	Q₈×D₅₃	—	4	4	no	—
732	Q₈×D₅₃	—	4	2	no	—
733	Q₈×D₅₃	—	4	4	no	—
734	Q₈×D₅₃	—	4	4	no	—
735	#11719947	—	4	4	no	—
736	#11719947	—	4	8	no	—
737	D₄×D₅₃	—	2	16	no	—
738	D₄×D₅₃	—	4	2	no	—
739	D₄×D₅₃	—	4	4	no	—
740	D₄×D₅₃	—	4	2	no	—
741	D₄×D₅₃	—	4	2	no	—
742	D₄×D₅₃	—	4	4	no	—
743	D₄×D₅₃	—	4	2	no	—
744	D₄×D₅₃	—	4	8	no	—
745	D₄×D₅₃	—	4	8	no	—
746	D₄×D₅₃	—	4	8	no	—
747	D₄×D₅₃	—	4	4	no	—
748	D₄×D₅₃	—	4	4	no	—
749	D₄×D₅₃	—	4	8	no	—
750	D₄×D₅₃	—	4	8	no	—
751	#11719945	—	4	8	no	—
752	#11719945	—	4	4	no	—
753	C₂×D₂₁₂	—	4	4	no	—
754	C₂×D₂₁₂	—	4	2	no	—
755	C₂×D₂₁₂	C₂⁴	1	4	yes	—
756	C₂×D₂₁₂	C₂⁴	1	4	yes	—
757	C₂×D₂₁₂	C₂⁴	1	4	yes	—
758	C₂×D₂₁₂	C₂⁴	1	2	yes	—
759	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
760	C₂×D₂₁₂	C₂⁴	1	2	yes	—
761	C₂×D₂₁₂	C₂⁴	1	2	yes	—
762	C₂×D₂₁₂	C₂⁴	1	4	yes	—
763	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
764	C₂×C₄×D₅₃	—	2	4	no	—
765	C₂×C₄×D₅₃	—	2	8	no	—
766	C₂×C₄×D₅₃	—	4	8	no	—
767	C₂×C₄×D₅₃	—	4	4	no	—
768	C₂×C₄×D₅₃	—	4	8	no	—
769	C₂×C₄×D₅₃	—	4	4	no	—
770	C₂×C₄×D₅₃	—	4	8	no	—
771	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
772	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
773	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
774	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
775	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
776	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
777	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
778	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
779	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
780	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
781	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
782	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
783	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
784	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
785	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
786	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
787	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
788	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
789	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
790	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
791	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
792	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
793	C₂×Dic₁₀₆	—	4	2	no	—
794	C₂×Dic₁₀₆	—	4	4	no	—
795	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
796	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
797	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
798	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
799	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
800	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
801	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
802	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
803	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
804	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
805	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
806	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
807	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
808	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
809	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
810	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
811	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
812	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
813	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
814	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
815	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
816	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
817	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
818	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
819	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
820	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
821	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
822	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
823	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
824	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
825	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
826	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
827	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
828	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
829	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
830	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
831	C₄²×C₅₃	C₂⁴	1	2	yes	—
832	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
833	C₄²×C₅₃	C₂⁴	1	2	yes	—
834	C₄²×C₅₃	C₂⁴	1	4	yes	—
835	C₄²×C₅₃	C₂⁴	1	2	yes	—
836	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
837	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
838	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
839	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
840	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
841	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
842	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
843	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
844	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
845	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
846	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
847	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
848	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
849	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
850	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
851	#11719921	C₂⁴	1	4	yes	—
852	#11719921	C₂⁴	1	4	yes	—
853	#11719921	C₂⁴	1	4	yes	—
854	#11719921	C₂⁴	1	4	yes	—
855	#11719921	C₂⁴	1	4	yes	—
856	#11719921	C₂⁴	1	4	yes	—
857	#11719921	C₂⁴	1	4	yes	—
858	#11719921	C₂⁴	1	4	yes	—
859	#11719921	C₂⁴	1	4	yes	—
860	#11719921	C₂⁴	1	4	yes	—
861	#11719921	C₂⁴	1	4	yes	—
862	#11719921	C₂⁴	1	4	yes	—
863	#11719921	C₂⁴	1	4	yes	—
864	#11719921	C₂⁴	1	4	yes	—
865	#11719921	C₂⁴	1	4	yes	—
866	#11719921	C₂⁴	1	4	yes	—
867	#11719921	C₂⁴	1	4	yes	—
868	#11719921	C₂⁴	1	4	yes	—
869	#11719921	C₂⁴	1	4	yes	—
870	#11719921	C₂⁴	1	4	yes	—
871	#11719921	C₂⁴	1	4	yes	—
872	#11719921	C₂⁴	1	4	yes	—
873	#11719921	C₂⁴	1	4	yes	—
874	#11719921	C₂⁴	1	4	yes	—
875	#11719921	C₂⁴	1	4	yes	—
876	#11719921	C₂⁴	1	4	yes	—
877	#11719921	C₂⁴	1	4	yes	—
878	#11719921	C₂⁴	1	4	yes	—
879	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
880	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
881	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
882	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
883	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
884	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
885	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
886	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
887	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
888	#11719919	C₂⁴	1	4	yes	—
889	#11719919	C₂⁴	1	4	yes	—
890	#11719919	C₂⁴	1	4	yes	—
891	#11719919	C₂⁴	1	4	yes	—
892	#11719919	C₂⁴	1	4	yes	—
893	#11719919	C₂⁴	1	4	yes	—
894	#11719919	C₂⁴	1	4	yes	—
895	#11719919	C₂⁴	1	4	yes	—
896	#11719919	C₂⁴	1	4	yes	—
897	#11719919	C₂⁴	1	4	yes	—
898	#11719919	C₂⁴	1	4	yes	—
899	#11719919	C₂⁴	1	4	yes	—
900	#11719919	C₂⁴	1	4	yes	—
901	#11719919	C₂⁴	1	4	yes	—
902	#11719919	C₂⁴	1	4	yes	—
903	#11719919	C₂⁴	1	4	yes	—
904	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
905	C₄×Dic₅₃	C₂⁴	1	2	yes	—
906	C₄×Dic₅₃	C₂⁴	1	2	yes	—
907	C₄×Dic₅₃	C₂⁴	1	2	yes	—
908	C₄×Dic₅₃	C₂⁴	1	2	yes	—
909	C₄×Dic₅₃	C₂⁴	1	2	yes	—
910	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
911	C₄×Dic₅₃	C₂⁴	1	2	yes	—
912	C₄×Dic₅₃	C₂⁴	1	4	yes	—
913	C₄×Dic₅₃	C₂⁴	1	4	yes	—
914	C₄×Dic₅₃	C₂⁴	1	4	yes	—
915	C₄×Dic₅₃	C₂⁴	1	4	yes	—
916	C₄×Dic₅₃	C₂⁴	1	4	yes	—
917	C₄×Dic₅₃	C₂⁴	1	2	yes	—
918	C₂³×C₅₃	—	2	4	no	—
919	C₂³×C₅₃	—	4	2	no	—
920	C₂³×C₅₃	—	4	4	no	—
921	C₂³×C₅₃	—	4	4	no	—
922	C₂³×C₅₃	C₂⁵	1	4	yes	—
923	C₂³×C₅₃	C₂⁵	1	2	yes	—
924	C₂³×C₅₃	C₂⁵	1	2	yes	—
925	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
926	C₂²×D₅₃	—	2	4	no	—
927	C₂²×D₅₃	—	2	4	no	—
928	C₂²×D₅₃	—	2	8	no	—
929	C₂²×D₅₃	—	2	4	no	—
930	C₂²×D₅₃	—	2	4	no	—
931	C₂²×D₅₃	—	2	8	no	—
932	C₂²×D₅₃	—	2	8	no	—
933	C₂²×D₅₃	—	2	8	no	—
934	C₂²×D₅₃	—	2	8	no	—
935	C₂²×D₅₃	—	2	4	no	—
936	C₂²×D₅₃	—	2	4	no	—
937	C₂²×D₅₃	—	4	2	no	—
938	C₂²×D₅₃	—	4	4	no	—
939	C₂²×D₅₃	—	4	4	no	—
940	C₂²×D₅₃	—	4	4	no	—
941	C₂²×D₅₃	—	4	4	no	—
942	C₂²×D₅₃	—	4	4	no	—
943	C₂²×D₅₃	—	4	4	no	—
944	C₂²×D₅₃	—	4	4	no	—
945	C₂²×D₅₃	—	8	16	no	—
946	C₂²×D₅₃	—	8	16	no	—
947	C₂²×D₅₃	H(5,𝔽₂)	1	4	yes	—
948	C₂²×D₅₃	C₂⁵	1	4	yes	—
949	C₂²×D₅₃	C₂⁵	1	2	yes	—
950	C₂²×D₅₃	C₂⁵	1	2	yes	—
951	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
952	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
953	Q₈×C₅₃	—	4	1	no	—
954	Q₈×C₅₃	—	4	2	no	—
955	Q₈×C₅₃	—	4	1	no	—
956	Q₈×C₅₃	—	4	2	no	—
957	Q₈×C₅₃	—	4	2	no	—
958	D₄×C₅₃	—	2	8	no	—
959	D₄×C₅₃	—	4	1	no	—
960	D₄×C₅₃	—	4	2	no	—
961	D₄×C₅₃	—	4	1	no	—
962	D₄×C₅₃	—	4	4	no	—
963	D₄×C₅₃	—	4	2	no	—
964	D₄×C₅₃	—	4	4	no	—
965	D₄×C₅₃	—	4	2	no	—
966	D₄×C₅₃	—	4	4	no	—
967	C₂×C₄×C₅₃	—	2	2	no	—
968	C₂×C₄×C₅₃	—	2	4	no	—
969	C₂×C₄×C₅₃	—	4	2	no	—
970	C₂×C₄×C₅₃	—	4	4	no	—
971	C₂×C₄×C₅₃	—	4	2	no	—
972	C₂×C₄×C₅₃	—	4	4	no	—
973	C₂×C₄×C₅₃	—	4	4	no	—
974	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
975	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
976	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
977	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
978	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
979	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
980	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
981	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
982	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
983	C₂²⋊D₅₃	—	2	8	no	—
984	C₂²⋊D₅₃	—	2	8	no	—
985	C₂²⋊D₅₃	—	4	4	no	—
986	C₂²⋊D₅₃	—	4	2	no	—
987	C₂²⋊D₅₃	—	4	2	no	—
988	C₂²⋊D₅₃	—	4	2	no	—
989	C₂²⋊D₅₃	—	4	2	no	—
990	C₂²⋊D₅₃	—	4	4	no	—
991	C₂²⋊D₅₃	—	4	4	no	—
992	C₂²⋊D₅₃	—	4	4	no	—
993	C₂²⋊D₅₃	—	4	4	no	—
994	C₂²⋊D₅₃	—	4	4	no	—
995	C₂²⋊D₅₃	—	4	4	no	—
996	C₂²⋊D₅₃	—	4	4	no	—
997	C₂×Dic₅₃	—	2	4	no	—
998	C₂×Dic₅₃	—	2	2	no	—
999	C₂×Dic₅₃	—	4	4	no	—
1000	C₂×Dic₅₃	—	4	2	no	—
1001	C₂×Dic₅₃	—	4	4	no	—
1002	C₂×Dic₅₃	—	4	4	no	—
1003	C₂×Dic₅₃	—	4	2	no	—
1004	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1005	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1006	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1007	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1008	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1009	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1010	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1011	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1012	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1013	D₂₁₂	—	2	8	no	—
1014	D₂₁₂	—	4	1	no	—
1015	D₂₁₂	—	4	2	no	—
1016	D₂₁₂	—	4	1	no	—
1017	D₂₁₂	—	4	4	no	—
1018	D₂₁₂	—	4	2	no	—
1019	D₂₁₂	—	4	4	no	—
1020	D₂₁₂	—	4	2	no	—
1021	D₂₁₂	—	4	4	no	—
1022	C₄×D₅₃	—	2	4	no	—
1023	C₄×D₅₃	—	2	4	no	—
1024	C₄×D₅₃	—	2	2	no	—
1025	C₄×D₅₃	—	2	2	no	—
1026	C₄×D₅₃	—	2	2	no	—
1027	C₄×D₅₃	—	2	2	no	—
1028	C₄×D₅₃	—	2	4	no	—
1029	C₄×D₅₃	—	2	4	no	—
1030	C₄×D₅₃	—	2	8	no	—
1031	C₄×D₅₃	—	2	4	no	—
1032	C₄×D₅₃	—	2	8	no	—
1033	C₄×D₅₃	—	2	4	no	—
1034	C₄×D₅₃	—	2	8	no	—
1035	C₄×D₅₃	—	4	2	no	—
1036	C₄×D₅₃	—	4	4	no	—
1037	C₄×D₅₃	—	4	2	no	—
1038	C₄×D₅₃	—	4	4	no	—
1039	C₄×D₅₃	—	4	4	no	—
1040	C₄×D₅₃	—	4	4	no	—
1041	C₄×D₅₃	—	4	4	no	—
1042	C₄×D₅₃	—	4	4	no	—
1043	C₄×D₅₃	—	4	4	no	—
1044	Dic₁₀₆	—	4	1	no	—
1045	Dic₁₀₆	—	4	2	no	—
1046	Dic₁₀₆	—	4	2	no	—
1047	Dic₁₀₆	—	4	2	no	—
1048	Dic₁₀₆	—	4	1	no	—
1049	Dic₁₀₆	—	4	2	no	—
1050	Dic₁₀₆	—	4	2	no	—
1051	Dic₁₀₆	—	4	4	no	—
1052	Dic₁₀₆	—	4	2	no	—
1053	Dic₁₀₆	—	4	4	no	—
1054	Dic₁₀₆	—	4	2	no	—
1055	C₂×#3545	—	53	1	no	maximal, Sylow
1056	C₂²×C₅₃	—	2	2	no	—
1057	C₂²×C₅₃	—	2	4	no	—
1058	C₂²×C₅₃	—	2	2	no	—
1059	C₂²×C₅₃	—	2	2	no	—
1060	C₂²×C₅₃	—	2	4	no	—
1061	C₂²×C₅₃	—	2	4	no	—
1062	C₂²×C₅₃	—	2	4	no	—
1063	C₂²×C₅₃	—	2	4	no	—
1064	C₂²×C₅₃	—	8	4	no	—
1065	C₂²×C₅₃	—	8	4	no	—
1066	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1067	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1068	C₂×D₅₃	—	2	2	no	—
1069	C₂×D₅₃	—	2	8	no	—
1070	C₂×D₅₃	—	2	4	no	—
1071	C₂×D₅₃	—	2	2	no	—
1072	C₂×D₅₃	—	2	2	no	—
1073	C₂×D₅₃	—	2	4	no	—
1074	C₂×D₅₃	—	2	4	no	—
1075	C₂×D₅₃	—	2	4	no	—
1076	C₂×D₅₃	—	2	4	no	—
1077	C₂×D₅₃	—	4	16	no	—
1078	C₂×D₅₃	—	4	8	no	—
1079	C₂×D₅₃	—	4	8	no	—
1080	C₂×D₅₃	—	8	4	no	—
1081	C₂×D₅₃	—	8	4	no	—
1082	C₂×D₅₃	—	8	4	no	—
1083	C₂×D₅₃	—	8	4	no	—
1084	C₂×D₅₃	—	8	8	no	—
1085	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1086	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1087	C₂×D₅₃	#585	1	4	yes	—
1088	C₄×C₅₃	—	2	2	no	—
1089	C₄×C₅₃	—	2	2	no	—
1090	C₄×C₅₃	—	2	1	no	—
1091	C₄×C₅₃	—	2	1	no	—
1092	C₄×C₅₃	—	2	4	no	—
1093	C₄×C₅₃	—	2	2	no	—
1094	C₄×C₅₃	—	2	4	no	—
1095	C₄×C₅₃	—	2	2	no	—
1096	C₄×C₅₃	—	2	4	no	—
1097	Dic₅₃	—	2	2	no	—
1098	Dic₅₃	—	2	2	no	—
1099	Dic₅₃	—	2	1	no	—
1100	Dic₅₃	—	2	1	no	—
1101	Dic₅₃	—	2	4	no	—
1102	Dic₅₃	—	2	2	no	—
1103	Dic₅₃	—	2	4	no	—
1104	Dic₅₃	—	2	2	no	—
1105	Dic₅₃	—	2	4	no	—
1106	#3545	—	53	1	no	—
1107	#3545	—	53	2	no	—
1108	#3545	—	53	1	no	—
1109	#3545	—	53	2	no	—
1110	#3545	—	53	2	no	—
1111	#3545	—	53	4	no	—
1112	#3545	—	53	4	no	—
1113	#3545	—	53	4	no	—
1114	#3545	—	53	4	no	—
1115	#3545	—	53	2	no	—
1116	#3545	—	53	2	no	—
1117	#3545	—	53	2	no	—
1118	#3545	—	53	1	no	—
1119	#3545	D₅₃	1	1	yes	characteristic, direct product factor
1120	C₂×#563	—	53	1	no	—
1121	C₂×#562	—	53	2	no	—
1122	C₂×H(3,𝔽₄)	—	53	1	no	—
1123	C₂×#555	—	53	2	no	—
1124	C₂×#551	—	53	4	no	—
1125	C₂×#551	—	53	2	no	—
1126	C₂×#546	—	53	4	no	—
1127	C₂×#542	—	53	4	no	—
1128	C₂×#538	—	53	4	no	—
1129	C₂×#536	—	53	2	no	—
1130	C₂×#534	—	53	2	no	—
1131	C₂×#529	—	53	2	no	—
1132	C₂²×#124	—	53	1	no	—
1133	C₂×C₅₃	—	2	2	no	—
1134	C₂×C₅₃	—	4	2	no	—
1135	C₂×C₅₃	—	4	2	no	—
1136	C₂×C₅₃	—	4	4	no	—
1137	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1138	C₂×C₅₃	C₂×#585	1	2	yes	—
1139	D₅₃	—	2	2	no	—
1140	D₅₃	—	4	4	no	—
1141	D₅₃	—	4	2	no	—
1142	D₅₃	—	4	2	no	—
1143	D₅₃	#3545	1	4	yes	direct product factor
1144	C₂²×#41	—	53	2	no	—
1145	C₂³×Q₈	—	53	1	no	—
1146	C₂³×D₄	—	53	1	no	—
1147	C₂³×D₄	—	53	2	no	—
1148	#563	—	53	2	no	—
1149	#563	—	53	4	no	—
1150	#563	—	53	2	no	—
1151	#563	—	53	1	no	—
1152	#563	—	53	2	no	—
1153	#563	—	53	4	no	—
1154	#563	C₂×D₅₃	1	1	yes	characteristic, complemented
1155	#562	—	53	2	no	—
1156	#562	—	53	2	no	—
1157	#562	—	53	2	no	—
1158	#562	—	53	4	no	—
1159	#562	—	53	4	no	—
1160	#562	—	53	4	no	—
1161	#562	—	53	4	no	—
1162	#562	—	53	4	no	—
1163	#562	—	53	4	no	—
1164	#562	C₂×D₅₃	1	2	yes	complemented
1165	H(3,𝔽₄)	—	53	1	no	—
1166	H(3,𝔽₄)	—	53	4	no	—
1167	H(3,𝔽₄)	—	53	2	no	—
1168	H(3,𝔽₄)	—	53	2	no	—
1169	H(3,𝔽₄)	—	53	2	no	—
1170	H(3,𝔽₄)	—	53	4	no	—
1171	H(3,𝔽₄)	C₂×D₅₃	1	1	yes	characteristic, complemented
1172	#555	—	53	2	no	—
1173	#555	—	53	2	no	—
1174	#555	—	53	4	no	—
1175	#555	—	53	2	no	—
1176	#555	—	53	4	no	—
1177	#555	—	53	4	no	—
1178	#555	—	53	4	no	—
1179	#555	—	53	4	no	—
1180	#555	—	53	4	no	—
1181	#555	C₂×D₅₃	1	2	yes	complemented
1182	#551	—	53	4	no	—
1183	#551	—	53	4	no	—
1184	#551	—	53	4	no	—
1185	#551	—	53	2	no	—
1186	#551	—	53	4	no	—
1187	#551	—	53	2	no	—
1188	#551	—	53	4	no	—
1189	#551	—	53	4	no	—
1190	#551	—	53	4	no	—
1191	#551	—	53	4	no	—
1192	#551	—	53	4	no	—
1193	#551	—	53	4	no	—
1194	#551	—	53	4	no	—
1195	#551	—	53	4	no	—
1196	#551	—	53	2	no	—
1197	#551	—	53	4	no	—
1198	#551	—	53	4	no	—
1199	#551	—	53	4	no	—
1200	#551	—	53	4	no	—
1201	#551	—	53	4	no	—
1202	#551	—	53	4	no	—
1203	#551	—	53	4	no	—
1204	#551	—	53	4	no	—
1205	#551	—	53	4	no	—
1206	#551	C₂×D₅₃	1	2	yes	complemented
1207	#551	C₂×D₅₃	1	4	yes	complemented
1208	#546	—	53	4	no	—
1209	#546	—	53	4	no	—
1210	#546	—	53	4	no	—
1211	#546	—	53	4	no	—
1212	#546	—	53	4	no	—
1213	#546	—	53	4	no	—
1214	#546	—	53	4	no	—
1215	#546	—	53	4	no	—
1216	#546	—	53	4	no	—
1217	#546	—	53	4	no	—
1218	#546	—	53	4	no	—
1219	#546	—	53	4	no	—
1220	#546	—	53	4	no	—
1221	#546	—	53	4	no	—
1222	#546	—	53	4	no	—
1223	#546	C₂×D₅₃	1	4	yes	complemented
1224	#542	—	53	4	no	—
1225	#542	—	53	4	no	—
1226	#542	—	53	4	no	—
1227	#542	—	53	4	no	—
1228	#542	—	53	4	no	—
1229	#542	—	53	4	no	—
1230	#542	—	53	4	no	—
1231	#542	—	53	4	no	—
1232	#542	—	53	4	no	—
1233	#542	—	53	4	no	—
1234	#542	—	53	4	no	—
1235	#542	—	53	4	no	—
1236	#542	—	53	4	no	—
1237	#542	—	53	4	no	—
1238	#542	—	53	4	no	—
1239	#542	C₂×D₅₃	1	4	yes	complemented
1240	#538	—	53	4	no	—
1241	#538	—	53	4	no	—
1242	#538	—	53	4	no	—
1243	#538	—	53	4	no	—
1244	#538	—	53	4	no	—
1245	#538	—	53	4	no	—
1246	#538	—	53	4	no	—
1247	#538	—	53	4	no	—
1248	#538	—	53	4	no	—
1249	#538	—	53	4	no	—
1250	#538	—	53	4	no	—
1251	#538	—	53	4	no	—
1252	#538	—	53	4	no	—
1253	#538	—	53	4	no	—
1254	#538	—	53	4	no	—
1255	#538	C₂×D₅₃	1	4	yes	complemented
1256	#536	—	53	2	no	—
1257	#536	—	53	2	no	—
1258	#536	—	53	2	no	—
1259	#536	—	53	2	no	—
1260	#536	—	53	2	no	—
1261	#536	—	53	2	no	—
1262	#536	—	53	4	no	—
1263	#536	—	53	4	no	—
1264	#536	—	53	4	no	—
1265	#536	—	53	4	no	—
1266	#536	—	53	2	no	—
1267	#536	C₂×D₅₃	1	2	yes	complemented
1268	#534	—	53	2	no	—
1269	#534	—	53	2	no	—
1270	#534	—	53	2	no	—
1271	#534	—	53	2	no	—
1272	#534	—	53	4	no	—
1273	#534	—	53	4	no	—
1274	#534	—	53	4	no	—
1275	#534	—	53	2	no	—
1276	#534	—	53	4	no	—
1277	#534	—	53	2	no	—
1278	#534	—	53	2	no	—
1279	#534	C₂×D₅₃	1	2	yes	complemented
1280	C₂×C₄⋊Q₈	—	53	2	no	—
1281	C₂×C₄⋊Q₈	—	53	2	no	—
1282	#529	—	53	4	no	—
1283	#529	—	53	2	no	—
1284	#529	—	53	2	no	—
1285	#529	—	53	4	no	—
1286	#529	—	53	2	no	—
1287	#529	—	53	2	no	—
1288	#529	—	53	2	no	—
1289	#529	—	53	4	no	—
1290	#529	—	53	2	no	—
1291	#529	—	53	4	no	—
1292	#529	—	53	2	no	—
1293	#529	C₂×D₅₃	1	2	yes	complemented
1294	C₂×#126	—	53	4	no	—
1295	C₂×#126	—	53	4	no	—
1296	C₂×#126	—	53	4	no	—
1297	C₂×#125	—	53	2	no	—
1298	C₂×#124	—	53	1	no	—
1299	C₂×#124	—	53	1	no	—
1300	C₂×#124	—	53	1	no	—
1301	C₂×#124	—	53	1	no	—
1302	C₂×#124	—	53	1	no	—
1303	C₂×#124	—	53	1	no	—
1304	C₂×#124	—	53	4	no	—
1305	C₂×#124	—	53	1	no	—
1306	C₂×#124	—	53	1	no	—
1307	C₂×#124	—	53	4	no	—
1308	C₂×#124	—	53	1	no	—
1309	C₂×#124	—	53	1	no	—
1310	C₂×#124	—	53	2	no	—
1311	C₂×#124	—	53	2	no	—
1312	C₂×#124	—	53	2	no	—
1313	C₂×#124	—	53	4	no	—
1314	C₂×#124	—	53	4	no	—
1315	C₂×#124	—	53	4	no	—
1316	C₂×#124	—	53	1	no	—
1317	C₂×#124	C₂×D₅₃	1	1	yes	characteristic, complemented
1318	C₂×#123	—	53	2	no	—
1319	C₂×#123	—	53	4	no	—
1320	C₂×#123	—	53	2	no	—
1321	C₂×#123	—	53	4	no	—
1322	C₂×#123	—	53	4	no	—
1323	C₂×#123	—	53	4	no	—
1324	C₂×#123	—	53	4	no	—
1325	C₂×C₂²⋊Q₈	—	53	2	no	—
1326	C₂×C₂²⋊Q₈	—	53	4	no	—
1327	C₂×C₂²⋊Q₈	—	53	4	no	—
1328	C₂×C₂²⋊Q₈	—	53	4	no	—
1329	C₂×C₂²⋊Q₈	—	53	4	no	—
1330	C₂×#121	—	53	2	no	—
1331	C₂×#121	—	53	4	no	—
1332	C₂×#121	—	53	4	no	—
1333	C₂×#121	—	53	4	no	—
1334	C₂×#121	—	53	4	no	—
1335	C₂×#120	—	53	4	no	—
1336	C₂×#120	—	53	2	no	—
1337	C₂×#120	—	53	2	no	—
1338	C₂×#120	—	53	4	no	—
1339	C₂×C₄×Q₈	—	53	2	no	—
1340	C₂×C₄×D₄	—	53	2	no	—
1341	C₂×C₄×D₄	—	53	4	no	—
1342	C₂×C₄×D₄	—	53	4	no	—
1343	C₂×C₄×D₄	—	53	4	no	—
1344	C₂×#117	—	53	4	no	—
1345	C₂×#117	—	53	2	no	—
1346	C₂×#117	—	53	4	no	—
1347	C₂²×C₂²⋊C₄	—	53	4	no	—
1348	C₂²×C₂²⋊C₄	—	53	2	no	—
1349	C₂²×C₂²⋊C₄	—	53	4	no	—
1350	C₂²×C₄²	—	53	1	no	—
1351	C₅₃	C₂×#3545	1	1	yes	characteristic, complemented, Sylow
1352	C₂⁵	—	53	2	no	—
1353	C₂⁵	—	53	2	no	—
1354	C₂×#41	—	53	2	no	—
1355	C₂×#41	—	53	4	no	—
1356	C₂×#41	—	53	2	no	—
1357	C₂×#41	—	53	4	no	—
1358	C₂×#41	—	53	2	no	—
1359	C₂×#41	—	212	8	no	—
1360	C₂×#41	C₂²×D₅₃	1	2	yes	—
1361	C₂²×Q₈	—	53	2	no	—
1362	C₂²×Q₈	—	53	1	no	—
1363	C₂²×Q₈	—	53	2	no	—
1364	C₂²×Q₈	—	53	2	no	—
1365	C₂²×Q₈	—	53	1	no	—
1366	C₂²×Q₈	—	53	1	no	—
1367	C₂²×Q₈	—	53	2	no	—
1368	C₂²×Q₈	—	53	1	no	—
1369	C₂²×Q₈	—	53	2	no	—
1370	C₂²×Q₈	—	53	1	no	—
1371	C₂²×Q₈	—	212	4	no	—
1372	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1373	C₂²×D₄	—	53	2	no	—
1374	C₂²×D₄	—	53	2	no	—
1375	C₂²×D₄	—	53	2	no	—
1376	C₂²×D₄	—	53	4	no	—
1377	C₂²×D₄	—	53	4	no	—
1378	C₂²×D₄	—	53	4	no	—
1379	C₂²×D₄	—	53	2	no	—
1380	C₂²×D₄	—	53	2	no	—
1381	C₂²×D₄	—	53	1	no	—
1382	C₂²×D₄	—	53	2	no	—
1383	C₂²×D₄	—	53	4	no	—
1384	C₂²×D₄	—	53	1	no	—
1385	C₂²×D₄	—	53	2	no	—
1386	C₂²×D₄	—	53	1	no	—
1387	C₂²×D₄	—	53	1	no	—
1388	C₂²×D₄	—	53	4	no	—
1389	C₂²×D₄	—	53	4	no	—
1390	C₂²×D₄	—	53	1	no	—
1391	C₂²×D₄	—	53	2	no	—
1392	C₂²×D₄	—	212	4	no	—
1393	C₂²×D₄	—	212	8	no	—
1394	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1395	C₂²×D₄	C₂²×D₅₃	1	2	yes	complemented
1396	C₂³×C₄	—	53	2	no	—
1397	C₂³×C₄	—	53	1	no	—
1398	C₂³×C₄	—	53	2	no	—
1399	C₂³×C₄	—	53	4	no	—
1400	C₂³×C₄	—	53	4	no	—
1401	C₂³×C₄	—	53	4	no	—
1402	C₂³×C₄	—	53	2	no	—
1403	C₄⋊Q₈	—	53	2	no	—
1404	C₄⋊Q₈	—	53	2	no	—
1405	C₄⋊Q₈	—	53	2	no	—
1406	C₄⋊Q₈	—	53	2	no	—
1407	C₄⋊Q₈	—	53	4	no	—
1408	C₄⋊Q₈	—	53	4	no	—
1409	C₄⋊Q₈	—	53	4	no	—
1410	C₄⋊Q₈	—	53	4	no	—
1411	C₄⋊Q₈	—	53	2	no	—
1412	C₄⋊Q₈	—	53	2	no	—
1413	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1414	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1415	#126	—	53	4	no	—
1416	#126	—	53	4	no	—
1417	#126	—	53	4	no	—
1418	#126	—	53	4	no	—
1419	#126	—	53	4	no	—
1420	#126	—	53	4	no	—
1421	#126	—	53	4	no	—
1422	#126	—	53	4	no	—
1423	#126	—	53	4	no	—
1424	#126	—	53	4	no	—
1425	#126	—	53	4	no	—
1426	#126	—	53	4	no	—
1427	#126	—	53	4	no	—
1428	#126	—	53	4	no	—
1429	#126	—	53	4	no	—
1430	#126	—	53	4	no	—
1431	#126	—	53	4	no	—
1432	#126	—	53	4	no	—
1433	#126	—	53	4	no	—
1434	#126	—	53	4	no	—
1435	#126	—	53	4	no	—
1436	#126	C₂²×D₅₃	1	4	yes	complemented
1437	#126	C₂²×D₅₃	1	4	yes	complemented
1438	#126	C₂²×D₅₃	1	4	yes	complemented
1439	#125	—	53	4	no	—
1440	#125	—	53	4	no	—
1441	#125	—	53	2	no	—
1442	#125	—	53	2	no	—
1443	#125	—	53	2	no	—
1444	#125	C₂²×D₅₃	1	2	yes	complemented
1445	#124	—	53	4	no	—
1446	#124	—	53	1	no	—
1447	#124	—	53	1	no	—
1448	#124	—	53	1	no	—
1449	#124	—	53	1	no	—
1450	#124	—	53	2	no	—
1451	#124	—	53	2	no	—
1452	#124	—	53	2	no	—
1453	#124	—	53	4	no	—
1454	#124	—	53	4	no	—
1455	#124	—	53	4	no	—
1456	#124	—	53	1	no	—
1457	#124	—	53	1	no	—
1458	#124	—	53	1	no	—
1459	#124	—	53	1	no	—
1460	#124	—	53	2	no	—
1461	#124	—	53	2	no	—
1462	#124	—	53	2	no	—
1463	#124	—	53	4	no	—
1464	#124	—	53	4	no	—
1465	#124	—	53	4	no	—
1466	#124	—	53	4	no	—
1467	#124	—	53	4	no	—
1468	#124	—	53	4	no	—
1469	#124	—	53	4	no	—
1470	#124	—	53	4	no	—
1471	#124	—	53	4	no	—
1472	#124	—	53	4	no	—
1473	#124	—	53	4	no	—
1474	#124	—	53	4	no	—
1475	#124	—	53	4	no	—
1476	#124	—	53	4	no	—
1477	#124	—	53	4	no	—
1478	#124	—	53	4	no	—
1479	#124	—	53	4	no	—
1480	#124	—	53	4	no	—
1481	#124	—	53	4	no	—
1482	#124	—	53	4	no	—
1483	#124	—	53	4	no	—
1484	#124	—	53	4	no	—
1485	#124	—	53	4	no	—
1486	#124	—	53	4	no	—
1487	#124	—	53	4	no	—
1488	#124	—	53	1	no	—
1489	#124	—	53	1	no	—
1490	#124	—	53	1	no	—
1491	#124	—	53	1	no	—
1492	#124	—	53	2	no	—
1493	#124	—	53	2	no	—
1494	#124	—	53	2	no	—
1495	#124	—	53	4	no	—
1496	#124	—	53	4	no	—
1497	#124	C₂²×D₅₃	1	1	yes	characteristic
1498	#124	C₂²×D₅₃	1	1	yes	characteristic
1499	#124	C₂²×D₅₃	1	4	yes	complemented
1500	#124	C₂²×D₅₃	1	1	yes	characteristic, complemented
1501	#124	C₂²×D₅₃	1	1	yes	characteristic, complemented
1502	#124	C₂²×D₅₃	1	2	yes	complemented
1503	#124	C₂²×D₅₃	1	2	yes	complemented
1504	#124	C₂²×D₅₃	1	2	yes	complemented
1505	#124	C₂²×D₅₃	1	4	yes	complemented
1506	#124	C₂²×D₅₃	1	4	yes	complemented
1507	#123	—	53	4	no	—
1508	#123	—	53	2	no	—
1509	#123	—	53	2	no	—
1510	#123	—	53	4	no	—
1511	#123	—	53	4	no	—
1512	#123	—	53	4	no	—
1513	#123	—	53	4	no	—
1514	#123	—	53	4	no	—
1515	#123	—	53	2	no	—
1516	#123	—	53	2	no	—
1517	#123	—	53	4	no	—
1518	#123	—	53	4	no	—
1519	#123	—	53	4	no	—
1520	#123	—	53	4	no	—
1521	#123	—	53	4	no	—
1522	#123	—	53	4	no	—
1523	#123	—	53	4	no	—
1524	#123	—	53	4	no	—
1525	#123	—	53	4	no	—
1526	#123	—	53	4	no	—
1527	#123	—	53	4	no	—
1528	#123	—	53	4	no	—
1529	#123	—	53	4	no	—
1530	#123	—	53	4	no	—
1531	#123	—	53	4	no	—
1532	#123	—	53	4	no	—
1533	#123	—	53	4	no	—
1534	#123	—	53	4	no	—
1535	#123	—	53	4	no	—
1536	#123	—	53	4	no	—
1537	#123	—	53	2	no	—
1538	#123	—	53	4	no	—
1539	#123	—	53	2	no	—
1540	#123	—	53	4	no	—
1541	#123	—	53	4	no	—
1542	#123	—	53	4	no	—
1543	#123	—	53	4	no	—
1544	#123	—	53	4	no	—
1545	#123	—	53	4	no	—
1546	#123	—	53	4	no	—
1547	#123	—	53	4	no	—
1548	#123	—	53	4	no	—
1549	#123	—	53	4	no	—
1550	#123	—	53	4	no	—
1551	#123	—	53	4	no	—
1552	#123	C₂²×D₅₃	1	2	yes	—
1553	#123	C₂²×D₅₃	1	4	yes	complemented
1554	#123	C₂²×D₅₃	1	2	yes	complemented
1555	#123	C₂²×D₅₃	1	4	yes	complemented
1556	#123	C₂²×D₅₃	1	4	yes	complemented
1557	#123	C₂²×D₅₃	1	4	yes	complemented
1558	#123	C₂²×D₅₃	1	4	yes	complemented
1559	C₂²⋊Q₈	—	53	2	no	—
1560	C₂²⋊Q₈	—	53	4	no	—
1561	C₂²⋊Q₈	—	53	4	no	—
1562	C₂²⋊Q₈	—	53	4	no	—
1563	C₂²⋊Q₈	—	53	4	no	—
1564	C₂²⋊Q₈	—	53	2	no	—
1565	C₂²⋊Q₈	—	53	4	no	—
1566	C₂²⋊Q₈	—	53	4	no	—
1567	C₂²⋊Q₈	—	53	4	no	—
1568	C₂²⋊Q₈	—	53	4	no	—
1569	C₂²⋊Q₈	—	53	4	no	—
1570	C₂²⋊Q₈	—	53	2	no	—
1571	C₂²⋊Q₈	—	53	4	no	—
1572	C₂²⋊Q₈	—	53	4	no	—
1573	C₂²⋊Q₈	—	53	4	no	—
1574	C₂²⋊Q₈	—	53	4	no	—
1575	C₂²⋊Q₈	—	53	4	no	—
1576	C₂²⋊Q₈	—	53	4	no	—
1577	C₂²⋊Q₈	—	53	4	no	—
1578	C₂²⋊Q₈	—	53	4	no	—
1579	C₂²⋊Q₈	—	53	4	no	—
1580	C₂²⋊Q₈	—	53	4	no	—
1581	C₂²⋊Q₈	—	53	4	no	—
1582	C₂²⋊Q₈	—	53	4	no	—
1583	C₂²⋊Q₈	—	53	4	no	—
1584	C₂²⋊Q₈	—	53	4	no	—
1585	C₂²⋊Q₈	—	53	4	no	—
1586	C₂²⋊Q₈	—	53	4	no	—
1587	C₂²⋊Q₈	—	53	4	no	—
1588	C₂²⋊Q₈	—	53	4	no	—
1589	C₂²⋊Q₈	—	53	4	no	—
1590	C₂²⋊Q₈	—	53	4	no	—
1591	C₂²⋊Q₈	—	53	4	no	—
1592	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1593	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1594	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1595	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1596	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1597	#121	—	53	2	no	—
1598	#121	—	53	4	no	—
1599	#121	—	53	4	no	—
1600	#121	—	53	4	no	—
1601	#121	—	53	4	no	—
1602	#121	—	53	4	no	—
1603	#121	—	53	4	no	—
1604	#121	—	53	4	no	—
1605	#121	—	53	4	no	—
1606	#121	—	53	4	no	—
1607	#121	—	53	4	no	—
1608	#121	—	53	4	no	—
1609	#121	—	53	4	no	—
1610	#121	—	53	4	no	—
1611	#121	—	53	2	no	—
1612	#121	—	53	4	no	—
1613	#121	—	53	4	no	—
1614	#121	—	53	4	no	—
1615	#121	—	53	4	no	—
1616	#121	—	53	2	no	—
1617	#121	—	53	4	no	—
1618	#121	—	53	4	no	—
1619	#121	—	53	4	no	—
1620	#121	—	53	4	no	—
1621	#121	—	53	4	no	—
1622	#121	—	53	4	no	—
1623	#121	—	53	4	no	—
1624	#121	—	53	4	no	—
1625	#121	—	53	4	no	—
1626	#121	—	53	4	no	—
1627	#121	—	53	4	no	—
1628	#121	—	53	4	no	—
1629	#121	—	53	4	no	—
1630	#121	C₂²×D₅₃	1	2	yes	—
1631	#121	C₂²×D₅₃	1	4	yes	—
1632	#121	C₂²×D₅₃	1	4	yes	complemented
1633	#121	C₂²×D₅₃	1	4	yes	complemented
1634	#121	C₂²×D₅₃	1	4	yes	complemented
1635	#120	—	53	2	no	—
1636	#120	—	53	4	no	—
1637	#120	—	53	2	no	—
1638	#120	—	53	4	no	—
1639	#120	—	53	2	no	—
1640	#120	—	53	4	no	—
1641	#120	—	53	4	no	—
1642	#120	—	53	4	no	—
1643	#120	—	53	4	no	—
1644	#120	—	53	2	no	—
1645	#120	—	53	4	no	—
1646	#120	—	53	4	no	—
1647	#120	—	53	4	no	—
1648	#120	—	53	4	no	—
1649	#120	—	53	4	no	—
1650	#120	—	53	2	no	—
1651	#120	—	53	4	no	—
1652	#120	—	53	4	no	—
1653	#120	—	53	4	no	—
1654	#120	—	53	4	no	—
1655	#120	—	53	2	no	—
1656	#120	—	53	4	no	—
1657	#120	—	53	4	no	—
1658	#120	—	53	4	no	—
1659	#120	C₂²×D₅₃	1	4	yes	—
1660	#120	C₂²×D₅₃	1	2	yes	—
1661	#120	C₂²×D₅₃	1	2	yes	complemented
1662	#120	C₂²×D₅₃	1	4	yes	complemented
1663	C₄×Q₈	—	53	2	no	—
1664	C₄×Q₈	—	53	4	no	—
1665	C₄×Q₈	—	53	2	no	—
1666	C₄×Q₈	—	53	4	no	—
1667	C₄×Q₈	—	53	2	no	—
1668	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1669	C₄×D₄	—	53	2	no	—
1670	C₄×D₄	—	53	4	no	—
1671	C₄×D₄	—	53	4	no	—
1672	C₄×D₄	—	53	4	no	—
1673	C₄×D₄	—	53	4	no	—
1674	C₄×D₄	—	53	4	no	—
1675	C₄×D₄	—	53	4	no	—
1676	C₄×D₄	—	53	4	no	—
1677	C₄×D₄	—	53	4	no	—
1678	C₄×D₄	—	53	4	no	—
1679	C₄×D₄	—	53	4	no	—
1680	C₄×D₄	—	53	2	no	—
1681	C₄×D₄	—	53	4	no	—
1682	C₄×D₄	—	53	4	no	—
1683	C₄×D₄	—	53	4	no	—
1684	C₄×D₄	—	53	4	no	—
1685	C₄×D₄	—	53	4	no	—
1686	C₄×D₄	—	53	4	no	—
1687	C₄×D₄	—	53	4	no	—
1688	C₄×D₄	—	53	4	no	—
1689	C₄×D₄	—	53	4	no	—
1690	C₄×D₄	—	53	4	no	—
1691	C₄×D₄	—	53	2	no	—
1692	C₄×D₄	—	53	4	no	—
1693	C₄×D₄	—	53	4	no	—
1694	C₄×D₄	—	53	4	no	—
1695	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1696	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1697	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1698	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1699	#117	—	53	4	no	—
1700	#117	—	53	2	no	—
1701	#117	—	53	4	no	—
1702	#117	—	53	4	no	—
1703	#117	—	53	4	no	—
1704	#117	—	53	4	no	—
1705	#117	—	53	4	no	—
1706	#117	—	53	4	no	—
1707	#117	—	53	4	no	—
1708	#117	—	53	4	no	—
1709	#117	—	53	4	no	—
1710	#117	—	53	4	no	—
1711	#117	—	53	4	no	—
1712	#117	—	53	4	no	—
1713	#117	—	53	4	no	—
1714	#117	—	53	2	no	—
1715	#117	—	53	2	no	—
1716	#117	—	53	4	no	—
1717	#117	—	53	4	no	—
1718	#117	C₂²×D₅₃	1	4	yes	complemented
1719	#117	C₂²×D₅₃	1	2	yes	complemented
1720	#117	C₂²×D₅₃	1	4	yes	complemented
1721	C₂×C₄⋊C₄	—	53	4	no	—
1722	C₂×C₄⋊C₄	—	53	4	no	—
1723	C₂×C₄⋊C₄	—	53	4	no	—
1724	C₂×C₄⋊C₄	—	53	4	no	—
1725	C₂×C₄⋊C₄	—	53	4	no	—
1726	C₂×C₄⋊C₄	—	53	4	no	—
1727	C₂×C₄⋊C₄	—	53	2	no	—
1728	C₂×C₄⋊C₄	—	53	2	no	—
1729	C₂×C₄⋊C₄	—	53	4	no	—
1730	C₂×C₂²⋊C₄	—	53	4	no	—
1731	C₂×C₂²⋊C₄	—	53	2	no	—
1732	C₂×C₂²⋊C₄	—	53	4	no	—
1733	C₂×C₂²⋊C₄	—	53	4	no	—
1734	C₂×C₂²⋊C₄	—	53	4	no	—
1735	C₂×C₂²⋊C₄	—	53	4	no	—
1736	C₂×C₂²⋊C₄	—	53	4	no	—
1737	C₂×C₂²⋊C₄	—	53	4	no	—
1738	C₂×C₂²⋊C₄	—	53	4	no	—
1739	C₂×C₂²⋊C₄	—	53	4	no	—
1740	C₂×C₂²⋊C₄	—	53	4	no	—
1741	C₂×C₂²⋊C₄	—	53	4	no	—
1742	C₂×C₂²⋊C₄	—	53	4	no	—
1743	C₂×C₂²⋊C₄	—	53	4	no	—
1744	C₂×C₂²⋊C₄	—	53	2	no	—
1745	C₂×C₂²⋊C₄	—	53	2	no	—
1746	C₂×C₂²⋊C₄	—	53	4	no	—
1747	C₂×C₂²⋊C₄	—	53	4	no	—
1748	C₂×C₂²⋊C₄	—	53	4	no	—
1749	C₂×C₂²⋊C₄	—	53	4	no	—
1750	C₂×C₂²⋊C₄	—	53	4	no	—
1751	C₂×C₂²⋊C₄	—	53	4	no	—
1752	C₂×C₂²⋊C₄	—	53	4	no	—
1753	C₂×C₂²⋊C₄	—	53	2	no	—
1754	C₂×C₂²⋊C₄	—	53	2	no	—
1755	C₂×C₂²⋊C₄	—	53	4	no	—
1756	C₂×C₂²⋊C₄	—	53	4	no	—
1757	C₂×C₂²⋊C₄	—	53	4	no	—
1758	C₂×C₂²⋊C₄	—	53	4	no	—
1759	C₂×C₂²⋊C₄	—	53	4	no	—
1760	C₂×C₂²⋊C₄	—	53	4	no	—
1761	C₂×C₂²⋊C₄	—	53	4	no	—
1762	C₂×C₂²⋊C₄	—	53	4	no	—
1763	C₂×C₂²⋊C₄	—	53	4	no	—
1764	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
1765	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1766	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
1767	C₂×C₄²	—	53	2	no	—
1768	C₂×C₄²	—	53	1	no	—
1769	C₂×C₄²	—	53	1	no	—
1770	C₂×C₄²	—	53	2	no	—
1771	C₂×C₄²	—	53	4	no	—
1772	C₂×C₄²	—	53	2	no	—
1773	C₂×C₄²	—	53	2	no	—
1774	C₂×C₄²	—	53	1	no	—
1775	C₂×C₄²	—	53	1	no	—
1776	C₂×C₄²	—	53	2	no	—
1777	C₂×C₄²	—	53	1	no	—
1778	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic, complemented
1779	C₂⁴	—	53	1	no	—
1780	C₂⁴	—	53	2	no	—
1781	C₂⁴	—	53	4	no	—
1782	C₂⁴	—	53	2	no	—
1783	C₂⁴	—	53	2	no	—
1784	C₂⁴	—	53	2	no	—
1785	C₂⁴	—	53	2	no	—
1786	C₂⁴	—	53	4	no	—
1787	C₂⁴	—	53	2	no	—
1788	C₂⁴	—	106	8	no	—
1789	C₂⁴	—	212	4	no	—
1790	C₂⁴	—	212	8	no	—
1791	C₂⁴	—	212	8	no	—
1792	C₂⁴	C₂³×D₅₃	1	2	yes	—
1793	C₂⁴	C₂³×D₅₃	1	2	yes	—
1794	#41	—	4	4	no	—
1795	#41	—	212	4	no	—
1796	#41	—	212	8	no	—
1797	#41	—	212	8	no	—
1798	#41	—	212	4	no	—
1799	#41	—	212	4	no	—
1800	C₂×Q₈	—	4	2	no	—
1801	C₂×Q₈	—	53	2	no	—
1802	C₂×Q₈	—	53	4	no	—
1803	C₂×Q₈	—	53	2	no	—
1804	C₂×Q₈	—	53	1	no	—
1805	C₂×Q₈	—	53	2	no	—
1806	C₂×Q₈	—	53	2	no	—
1807	C₂×Q₈	—	53	2	no	—
1808	C₂×Q₈	—	53	4	no	—
1809	C₂×Q₈	—	53	2	no	—
1810	C₂×Q₈	—	53	1	no	—
1811	C₂×Q₈	—	53	2	no	—
1812	C₂×Q₈	—	212	2	no	—
1813	C₂×Q₈	—	212	4	no	—
1814	C₂×Q₈	—	212	4	no	—
1815	C₂×Q₈	—	212	2	no	—
1816	C₂×Q₈	—	212	4	no	—
1817	C₂×Q₈	—	212	2	no	—
1818	C₂×Q₈	—	212	2	no	—
1819	C₂×Q₈	—	212	4	no	—
1820	C₂×Q₈	—	212	2	no	—
1821	C₂×Q₈	—	212	4	no	—
1822	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1823	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
1824	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1825	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1826	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
1827	C₂×D₄	—	4	2	no	—
1828	C₂×D₄	—	4	4	no	—
1829	C₂×D₄	—	53	4	no	—
1830	C₂×D₄	—	53	4	no	—
1831	C₂×D₄	—	53	4	no	—
1832	C₂×D₄	—	53	4	no	—
1833	C₂×D₄	—	53	4	no	—
1834	C₂×D₄	—	53	4	no	—
1835	C₂×D₄	—	53	4	no	—
1836	C₂×D₄	—	53	4	no	—
1837	C₂×D₄	—	53	2	no	—
1838	C₂×D₄	—	53	2	no	—
1839	C₂×D₄	—	53	2	no	—
1840	C₂×D₄	—	53	4	no	—
1841	C₂×D₄	—	53	4	no	—
1842	C₂×D₄	—	53	2	no	—
1843	C₂×D₄	—	53	4	no	—
1844	C₂×D₄	—	53	4	no	—
1845	C₂×D₄	—	53	4	no	—
1846	C₂×D₄	—	53	2	no	—
1847	C₂×D₄	—	53	2	no	—
1848	C₂×D₄	—	53	1	no	—
1849	C₂×D₄	—	53	2	no	—
1850	C₂×D₄	—	53	4	no	—
1851	C₂×D₄	—	53	1	no	—
1852	C₂×D₄	—	106	16	no	—
1853	C₂×D₄	—	212	2	no	—
1854	C₂×D₄	—	212	4	no	—
1855	C₂×D₄	—	212	8	no	—
1856	C₂×D₄	—	212	8	no	—
1857	C₂×D₄	—	212	4	no	—
1858	C₂×D₄	—	212	2	no	—
1859	C₂×D₄	—	212	4	no	—
1860	C₂×D₄	—	212	2	no	—
1861	C₂×D₄	—	212	2	no	—
1862	C₂×D₄	—	212	4	no	—
1863	C₂×D₄	—	212	2	no	—
1864	C₂×D₄	—	212	8	no	—
1865	C₂×D₄	—	212	4	no	—
1866	C₂×D₄	—	212	4	no	—
1867	C₂×D₄	—	212	8	no	—
1868	C₂×D₄	—	212	8	no	—
1869	C₂×D₄	—	212	4	no	—
1870	C₂×D₄	—	212	4	no	—
1871	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1872	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1873	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1874	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1875	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
1876	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1877	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1878	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1879	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
1880	C₂²×C₄	—	53	1	no	—
1881	C₂²×C₄	—	53	2	no	—
1882	C₂²×C₄	—	53	2	no	—
1883	C₂²×C₄	—	53	4	no	—
1884	C₂²×C₄	—	53	4	no	—
1885	C₂²×C₄	—	53	4	no	—
1886	C₂²×C₄	—	53	2	no	—
1887	C₂²×C₄	—	53	2	no	—
1888	C₂²×C₄	—	53	4	no	—
1889	C₂²×C₄	—	53	2	no	—
1890	C₂²×C₄	—	53	2	no	—
1891	C₂²×C₄	—	53	1	no	—
1892	C₂²×C₄	—	53	1	no	—
1893	C₂²×C₄	—	53	1	no	—
1894	C₂²×C₄	—	53	1	no	—
1895	C₂²×C₄	—	53	4	no	—
1896	C₂²×C₄	—	53	4	no	—
1897	C₂²×C₄	—	53	2	no	—
1898	C₂²×C₄	—	53	2	no	—
1899	C₂²×C₄	—	53	2	no	—
1900	C₂²×C₄	—	53	2	no	—
1901	C₂²×C₄	—	53	2	no	—
1902	C₂²×C₄	—	53	4	no	—
1903	C₂²×C₄	—	53	4	no	—
1904	C₂²×C₄	—	53	4	no	—
1905	C₂²×C₄	—	53	4	no	—
1906	C₂²×C₄	—	53	4	no	—
1907	C₂²×C₄	—	53	4	no	—
1908	C₂²×C₄	—	53	4	no	—
1909	C₂²×C₄	—	106	4	no	—
1910	C₂²×C₄	—	106	8	no	—
1911	C₂²×C₄	—	212	8	no	—
1912	C₂²×C₄	—	212	4	no	—
1913	C₂²×C₄	—	212	8	no	—
1914	C₂²×C₄	—	212	4	no	—
1915	C₂²×C₄	—	212	8	no	—
1916	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1917	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1918	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1919	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1920	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1921	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1922	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1923	C₄⋊C₄	—	53	4	no	—
1924	C₄⋊C₄	—	53	4	no	—
1925	C₄⋊C₄	—	53	4	no	—
1926	C₄⋊C₄	—	53	4	no	—
1927	C₄⋊C₄	—	53	4	no	—
1928	C₄⋊C₄	—	53	4	no	—
1929	C₄⋊C₄	—	53	4	no	—
1930	C₄⋊C₄	—	53	4	no	—
1931	C₄⋊C₄	—	53	4	no	—
1932	C₄⋊C₄	—	53	4	no	—
1933	C₄⋊C₄	—	53	4	no	—
1934	C₄⋊C₄	—	53	4	no	—
1935	C₄⋊C₄	—	53	4	no	—
1936	C₄⋊C₄	—	53	4	no	—
1937	C₄⋊C₄	—	53	4	no	—
1938	C₄⋊C₄	—	53	4	no	—
1939	C₄⋊C₄	—	53	4	no	—
1940	C₄⋊C₄	—	53	4	no	—
1941	C₄⋊C₄	—	53	4	no	—
1942	C₄⋊C₄	—	53	2	no	—
1943	C₄⋊C₄	—	53	4	no	—
1944	C₄⋊C₄	—	53	2	no	—
1945	C₄⋊C₄	—	53	4	no	—
1946	C₄⋊C₄	—	53	4	no	—
1947	C₄⋊C₄	—	53	4	no	—
1948	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1949	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1950	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1951	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1952	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1953	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1954	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1955	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1956	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1957	C₂²⋊C₄	—	53	4	no	—
1958	C₂²⋊C₄	—	53	4	no	—
1959	C₂²⋊C₄	—	53	4	no	—
1960	C₂²⋊C₄	—	53	4	no	—
1961	C₂²⋊C₄	—	53	4	no	—
1962	C₂²⋊C₄	—	53	4	no	—
1963	C₂²⋊C₄	—	53	2	no	—
1964	C₂²⋊C₄	—	53	2	no	—
1965	C₂²⋊C₄	—	53	4	no	—
1966	C₂²⋊C₄	—	53	4	no	—
1967	C₂²⋊C₄	—	53	4	no	—
1968	C₂²⋊C₄	—	53	4	no	—
1969	C₂²⋊C₄	—	53	4	no	—
1970	C₂²⋊C₄	—	53	4	no	—
1971	C₂²⋊C₄	—	53	4	no	—
1972	C₂²⋊C₄	—	53	4	no	—
1973	C₂²⋊C₄	—	53	4	no	—
1974	C₂²⋊C₄	—	53	4	no	—
1975	C₂²⋊C₄	—	53	4	no	—
1976	C₂²⋊C₄	—	53	4	no	—
1977	C₂²⋊C₄	—	53	4	no	—
1978	C₂²⋊C₄	—	53	4	no	—
1979	C₂²⋊C₄	—	53	4	no	—
1980	C₂²⋊C₄	—	53	4	no	—
1981	C₂²⋊C₄	—	53	4	no	—
1982	C₂²⋊C₄	—	53	4	no	—
1983	C₂²⋊C₄	—	53	4	no	—
1984	C₂²⋊C₄	—	53	4	no	—
1985	C₂²⋊C₄	—	53	4	no	—
1986	C₂²⋊C₄	—	53	4	no	—
1987	C₂²⋊C₄	—	53	4	no	—
1988	C₂²⋊C₄	—	53	4	no	—
1989	C₂²⋊C₄	—	53	4	no	—
1990	C₂²⋊C₄	—	53	4	no	—
1991	C₂²⋊C₄	—	53	4	no	—
1992	C₂²⋊C₄	—	53	4	no	—
1993	C₂²⋊C₄	—	53	4	no	—
1994	C₂²⋊C₄	—	53	4	no	—
1995	C₂²⋊C₄	—	53	4	no	—
1996	C₂²⋊C₄	—	53	4	no	—
1997	C₂²⋊C₄	—	53	4	no	—
1998	C₂²⋊C₄	—	53	4	no	—
1999	C₂²⋊C₄	—	53	4	no	—
2000	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2001	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2002	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2003	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2004	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2005	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2006	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2007	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2008	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2009	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2010	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2011	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2012	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2013	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2014	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2015	C₄²	—	53	1	no	—
2016	C₄²	—	53	2	no	—
2017	C₄²	—	53	2	no	—
2018	C₄²	—	53	2	no	—
2019	C₄²	—	53	2	no	—
2020	C₄²	—	53	1	no	—
2021	C₄²	—	53	2	no	—
2022	C₄²	—	53	2	no	—
2023	C₄²	—	53	4	no	—
2024	C₄²	—	53	4	no	—
2025	C₄²	—	53	4	no	—
2026	C₄²	—	53	4	no	—
2027	C₄²	—	53	4	no	—
2028	C₄²	—	53	2	no	—
2029	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2030	C₄²	C₂³×D₅₃	1	2	yes	—
2031	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2032	C₄²	C₂³×D₅₃	1	2	yes	—
2033	C₄²	C₂³×D₅₃	1	4	yes	—
2034	C₄²	C₂³×D₅₃	1	2	yes	—
2035	C₂³	—	2	4	no	—
2036	C₂³	—	4	2	no	—
2037	C₂³	—	4	4	no	—
2038	C₂³	—	4	4	no	—
2039	C₂³	—	53	1	no	—
2040	C₂³	—	53	4	no	—
2041	C₂³	—	53	1	no	—
2042	C₂³	—	53	2	no	—
2043	C₂³	—	53	4	no	—
2044	C₂³	—	53	2	no	—
2045	C₂³	—	106	4	no	—
2046	C₂³	—	106	4	no	—
2047	C₂³	—	106	4	no	—
2048	C₂³	—	106	8	no	—
2049	C₂³	—	106	4	no	—
2050	C₂³	—	106	8	no	—
2051	C₂³	—	106	8	no	—
2052	C₂³	—	106	4	no	—
2053	C₂³	—	106	8	no	—
2054	C₂³	—	106	8	no	—
2055	C₂³	—	106	4	no	—
2056	C₂³	—	424	16	no	—
2057	C₂³	—	424	16	no	—
2058	C₂³	—	212	4	no	—
2059	C₂³	—	212	2	no	—
2060	C₂³	—	212	4	no	—
2061	C₂³	—	212	4	no	—
2062	C₂³	—	212	4	no	—
2063	C₂³	—	212	4	no	—
2064	C₂³	—	212	4	no	—
2065	C₂³	—	212	4	no	—
2066	C₂³	C₂⁴×D₅₃	1	2	yes	—
2067	C₂³	C₂⁴×D₅₃	1	4	yes	—
2068	C₂³	C₂⁴×D₅₃	1	2	yes	—
2069	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2070	Q₈	—	4	1	no	—
2071	Q₈	—	4	2	no	—
2072	Q₈	—	4	1	no	—
2073	Q₈	—	4	2	no	—
2074	Q₈	—	4	2	no	—
2075	Q₈	—	212	2	no	—
2076	Q₈	—	212	4	no	—
2077	Q₈	—	212	2	no	—
2078	Q₈	—	212	2	no	—
2079	Q₈	—	212	1	no	—
2080	Q₈	—	212	2	no	—
2081	Q₈	—	212	1	no	—
2082	Q₈	—	212	2	no	—
2083	Q₈	—	212	2	no	—
2084	Q₈	—	212	2	no	—
2085	Q₈	—	212	4	no	—
2086	D₄	—	2	8	no	—
2087	D₄	—	4	1	no	—
2088	D₄	—	4	2	no	—
2089	D₄	—	4	1	no	—
2090	D₄	—	4	4	no	—
2091	D₄	—	4	4	no	—
2092	D₄	—	4	4	no	—
2093	D₄	—	4	2	no	—
2094	D₄	—	4	2	no	—
2095	D₄	—	106	8	no	—
2096	D₄	—	106	8	no	—
2097	D₄	—	106	8	no	—
2098	D₄	—	212	4	no	—
2099	D₄	—	212	4	no	—
2100	D₄	—	212	2	no	—
2101	D₄	—	212	1	no	—
2102	D₄	—	212	2	no	—
2103	D₄	—	212	1	no	—
2104	D₄	—	212	4	no	—
2105	D₄	—	212	2	no	—
2106	D₄	—	212	4	no	—
2107	D₄	—	212	4	no	—
2108	D₄	—	212	4	no	—
2109	D₄	—	212	4	no	—
2110	D₄	—	212	4	no	—
2111	D₄	—	212	2	no	—
2112	D₄	—	212	2	no	—
2113	D₄	—	212	2	no	—
2114	D₄	—	212	2	no	—
2115	D₄	—	212	4	no	—
2116	D₄	—	212	4	no	—
2117	D₄	—	212	4	no	—
2118	C₂×C₄	—	2	2	no	—
2119	C₂×C₄	—	2	4	no	—
2120	C₂×C₄	—	4	4	no	—
2121	C₂×C₄	—	4	2	no	—
2122	C₂×C₄	—	4	4	no	—
2123	C₂×C₄	—	4	2	no	—
2124	C₂×C₄	—	4	4	no	—
2125	C₂×C₄	—	53	2	no	—
2126	C₂×C₄	—	53	2	no	—
2127	C₂×C₄	—	53	4	no	—
2128	C₂×C₄	—	53	2	no	—
2129	C₂×C₄	—	53	1	no	—
2130	C₂×C₄	—	53	1	no	—
2131	C₂×C₄	—	53	4	no	—
2132	C₂×C₄	—	53	4	no	—
2133	C₂×C₄	—	53	2	no	—
2134	C₂×C₄	—	106	4	no	—
2135	C₂×C₄	—	106	2	no	—
2136	C₂×C₄	—	106	2	no	—
2137	C₂×C₄	—	106	2	no	—
2138	C₂×C₄	—	106	2	no	—
2139	C₂×C₄	—	106	4	no	—
2140	C₂×C₄	—	106	4	no	—
2141	C₂×C₄	—	106	4	no	—
2142	C₂×C₄	—	106	4	no	—
2143	C₂×C₄	—	106	8	no	—
2144	C₂×C₄	—	106	8	no	—
2145	C₂×C₄	—	106	8	no	—
2146	C₂×C₄	—	106	4	no	—
2147	C₂×C₄	—	106	2	no	—
2148	C₂×C₄	—	106	4	no	—
2149	C₂×C₄	—	212	4	no	—
2150	C₂×C₄	—	212	2	no	—
2151	C₂×C₄	—	212	4	no	—
2152	C₂×C₄	—	212	4	no	—
2153	C₂×C₄	—	212	2	no	—
2154	C₂×C₄	—	212	4	no	—
2155	C₂×C₄	—	212	4	no	—
2156	C₂×C₄	—	212	4	no	—
2157	C₂×C₄	—	212	4	no	—
2158	C₂×C₄	—	212	4	no	—
2159	C₂×C₄	—	212	2	no	—
2160	C₂×C₄	—	212	4	no	—
2161	C₂×C₄	—	212	2	no	—
2162	C₂×C₄	—	212	4	no	—
2163	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2164	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2165	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2166	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2167	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2168	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2169	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2170	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2171	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2172	C₂²	—	2	2	no	—
2173	C₂²	—	2	4	no	—
2174	C₂²	—	2	2	no	—
2175	C₂²	—	2	2	no	—
2176	C₂²	—	2	4	no	—
2177	C₂²	—	2	4	no	—
2178	C₂²	—	2	4	no	—
2179	C₂²	—	2	4	no	—
2180	C₂²	—	8	4	no	—
2181	C₂²	—	8	4	no	—
2182	C₂²	—	53	2	no	—
2183	C₂²	—	53	4	no	—
2184	C₂²	—	53	2	no	—
2185	C₂²	—	106	8	no	—
2186	C₂²	—	106	2	no	—
2187	C₂²	—	106	4	no	—
2188	C₂²	—	106	2	no	—
2189	C₂²	—	106	2	no	—
2190	C₂²	—	106	4	no	—
2191	C₂²	—	106	4	no	—
2192	C₂²	—	106	4	no	—
2193	C₂²	—	106	4	no	—
2194	C₂²	—	424	4	no	—
2195	C₂²	—	424	4	no	—
2196	C₂²	—	424	4	no	—
2197	C₂²	—	424	4	no	—
2198	C₂²	—	424	8	no	—
2199	C₂²	—	212	8	no	—
2200	C₂²	—	212	16	no	—
2201	C₂²	—	212	8	no	—
2202	C₂²	H(5,𝔽₂)×D₅₃	1	2	yes	—
2203	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2204	C₄	—	2	2	no	—
2205	C₄	—	2	1	no	—
2206	C₄	—	2	1	no	—
2207	C₄	—	2	2	no	—
2208	C₄	—	2	4	no	—
2209	C₄	—	2	2	no	—
2210	C₄	—	2	4	no	—
2211	C₄	—	2	2	no	—
2212	C₄	—	2	4	no	—
2213	C₄	—	106	2	no	—
2214	C₄	—	106	1	no	—
2215	C₄	—	106	1	no	—
2216	C₄	—	106	2	no	—
2217	C₄	—	106	4	no	—
2218	C₄	—	106	2	no	—
2219	C₄	—	106	4	no	—
2220	C₄	—	106	2	no	—
2221	C₄	—	106	4	no	—
2222	C₂	—	2	2	no	—
2223	C₂	—	4	2	no	—
2224	C₂	—	4	4	no	—
2225	C₂	—	4	2	no	—
2226	C₂	—	53	4	no	—
2227	C₂	—	106	2	no	—
2228	C₂	—	212	2	no	—
2229	C₂	—	212	4	no	—
2230	C₂	—	212	2	no	—
2231	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2232	C₂	#585×D₅₃	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3545	C₂
hypercenter	#3545	D₅₃
hypocenter	C₅₃	C₂×#3545
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3545

Complements

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

N	H ≅ G/N	type
1. #20289073	C₂	semidirect
2. #20289072	C₂	semidirect
3. #20289071	C₂	semidirect
4. #20289070	C₂	semidirect
5. #20289069	C₂	semidirect
6. #20289068	C₂	semidirect
7. #20289067	C₂	semidirect
8. #20289066	C₂	semidirect
9. #20289065	C₂	semidirect
10. #20289064	C₂	semidirect
11. #20289063	C₂	semidirect
12. #20289062	C₂	semidirect
13. #20289061	C₂	semidirect
14. #563×D₅₃	C₂	semidirect
15. #562×D₅₃	C₂	semidirect
16. H(3,𝔽₄)×D₅₃	C₂	semidirect
17. #555×D₅₃	C₂	semidirect
18. #551×D₅₃	C₂	semidirect
19. #551×D₅₃	C₂	semidirect
20. #546×D₅₃	C₂	semidirect
21. #542×D₅₃	C₂	semidirect
22. #538×D₅₃	C₂	semidirect
23. #536×D₅₃	C₂	semidirect
24. #534×D₅₃	C₂	semidirect
25. #529×D₅₃	C₂	semidirect
26. C₂×#124×D₅₃	C₂	semidirect
27. C₅₃×#3545	C₂	semidirect
29. C₂²×Q₈×D₅₃	C₂²	semidirect
31. C₂²×D₄×D₅₃	C₂²	semidirect
32. #16811377	C₂²	semidirect
33. #16811376	C₂²	semidirect
34. #16811375	C₂²	semidirect
35. #16811374	C₂²	semidirect
36. #16811373	C₂²	semidirect
37. #16811372	C₂²	semidirect
38. #16811371	C₂²	semidirect
39. #16811370	C₂²	semidirect
40. #16811370	C₂²	semidirect
41. #16811369	C₂²	semidirect
42. #16811369	C₂²	semidirect
43. #16811368	C₂²	semidirect
44. #16811368	C₂²	semidirect
45. #16811367	C₂²	semidirect
46. #16811367	C₂²	semidirect
47. #16811366	C₂²	semidirect
48. #16811366	C₂²	semidirect
49. #16811365	C₂²	semidirect
50. #16811365	C₂²	semidirect
51. #16811365	C₂²	semidirect
52. #16811365	C₂²	semidirect
53. #16811339	C₂²	semidirect
54. #16811338	C₂²	semidirect
55. #16811337	C₂²	semidirect
56. #16811337	C₂²	semidirect
57. #16811336	C₂²	semidirect
58. #16811336	C₂²	semidirect
59. #16811335	C₂²	semidirect
60. #16811335	C₂²	semidirect
61. #16811335	C₂²	semidirect
62. #16811304	C₂²	semidirect
63. #16811304	C₂²	semidirect
64. #16811303	C₂²	semidirect
65. #16811303	C₂²	semidirect
66. #16811302	C₂²	semidirect
67. #16811302	C₂²	semidirect
68. #16811302	C₂²	semidirect
69. #16811301	C₂²	semidirect
70. #16811301	C₂²	semidirect
71. #16811300	C₂²	semidirect
72. #16811300	C₂²	semidirect
73. #16811300	C₂²	semidirect
74. #16811299	C₂²	semidirect
75. #16811299	C₂²	semidirect
76. #16811299	C₂²	semidirect
77. #16811298	C₂²	semidirect
78. #16811298	C₂²	semidirect
79. #16811298	C₂²	semidirect
80. #16811297	C₂²	semidirect
81. #16811297	C₂²	semidirect
82. #16811297	C₂²	semidirect
83. #16811296	C₂²	semidirect
84. #16811296	C₂²	semidirect
85. #16811296	C₂²	semidirect
86. #16811270	C₂²	semidirect
87. #16811269	C₂²	semidirect
88. #16811268	C₂²	semidirect
89. #16811267	C₂²	semidirect
90. #16811266	C₂²	semidirect
91. #16811265	C₂²	semidirect
92. #16811265	C₂²	semidirect
93. #16811264	C₂²	semidirect
94. #16811263	C₂²	semidirect
95. #16811263	C₂²	semidirect
96. #16811262	C₂²	semidirect
97. #16811262	C₂²	semidirect
98. #16811261	C₂²	semidirect
99. #16811260	C₂²	semidirect
100. #16811260	C₂²	semidirect
101. #16811247	C₂²	semidirect
102. #16811246	C₂²	semidirect
103. #16811245	C₂²	semidirect
104. #16811244	C₂²	semidirect
105. #16811243	C₂²	semidirect
106. #16811243	C₂²	semidirect
107. #16811242	C₂²	semidirect
108. #16811241	C₂²	semidirect
109. #16811241	C₂²	semidirect
110. #16811240	C₂²	semidirect
111. #16811239	C₂²	semidirect
112. #16811239	C₂²	semidirect
113. #16811238	C₂²	semidirect
114. #16811237	C₂²	semidirect
115. #16811237	C₂²	semidirect
116. #16811213	C₂²	semidirect
117. #16811212	C₂²	semidirect
118. #16811212	C₂²	semidirect
119. #16811211	C₂²	semidirect
120. #16811210	C₂²	semidirect
121. #16811209	C₂²	semidirect
122. #16811209	C₂²	semidirect
123. #16811208	C₂²	semidirect
124. #16811208	C₂²	semidirect
125. #16811207	C₂²	semidirect
126. #16811207	C₂²	semidirect
127. #16811206	C₂²	semidirect
128. #16811206	C₂²	semidirect
129. #16811205	C₂²	semidirect
130. #16811205	C₂²	semidirect
131. #16811199	C₂²	semidirect
132. #16811198	C₂²	semidirect
133. #16811198	C₂²	semidirect
134. #16811197	C₂²	semidirect
135. #16811196	C₂²	semidirect
136. #16811196	C₂²	semidirect
137. #16811195	C₂²	semidirect
138. #16811195	C₂²	semidirect
139. #16811194	C₂²	semidirect
140. #16811193	C₂²	semidirect
141. #16811193	C₂²	semidirect
142. #16811185	C₂²	semidirect
143. #16811184	C₂²	semidirect
144. #16811184	C₂²	semidirect
145. #16811184	C₂²	semidirect
146. #16811183	C₂²	semidirect
147. #16811183	C₂²	semidirect
148. #16811183	C₂²	semidirect
149. #16811182	C₂²	semidirect
150. #16811182	C₂²	semidirect
151. #16811181	C₂²	semidirect
152. #16811181	C₂²	semidirect
153. C₄⋊Q₈×D₅₃	C₂²	semidirect
154. C₄⋊Q₈×D₅₃	C₂²	semidirect
155. #16811160	C₂²	semidirect
156. #16811159	C₂²	semidirect
157. #16811158	C₂²	semidirect
158. #16811157	C₂²	semidirect
159. #16811156	C₂²	semidirect
160. #16811155	C₂²	semidirect
161. #16811154	C₂²	semidirect
162. #16811153	C₂²	semidirect
163. #16811152	C₂²	semidirect
164. #16811151	C₂²	semidirect
165. #16811150	C₂²	semidirect
166. #126×D₅₃	C₂²	semidirect
167. #126×D₅₃	C₂²	semidirect
168. #126×D₅₃	C₂²	semidirect
169. #125×D₅₃	C₂²	semidirect
170. C₂×#13133206	C₂²	semidirect
171. C₂×#13133205	C₂²	semidirect
172. C₂×#13133204	C₂²	semidirect
173. C₂×#13133203	C₂²	semidirect
176. #124×D₅₃	C₂²	semidirect
177. #124×D₅₃	C₂²	semidirect
178. #124×D₅₃	C₂²	semidirect
179. #124×D₅₃	C₂²	semidirect
180. #124×D₅₃	C₂²	semidirect
181. #124×D₅₃	C₂²	semidirect
182. #124×D₅₃	C₂²	semidirect
183. #124×D₅₃	C₂²	semidirect
184. #124×D₅₃	C₂²	semidirect
185. #124×D₅₃	C₂²	semidirect
186. #124×D₅₃	C₂²	semidirect
187. #124×D₅₃	C₂²	semidirect
188. #124×D₅₃	C₂²	semidirect
190. #123×D₅₃	C₂²	semidirect
191. #123×D₅₃	C₂²	semidirect
192. #123×D₅₃	C₂²	semidirect
193. #123×D₅₃	C₂²	semidirect
194. #123×D₅₃	C₂²	semidirect
195. #123×D₅₃	C₂²	semidirect
196. C₂²⋊Q₈×D₅₃	C₂²	semidirect
197. C₂²⋊Q₈×D₅₃	C₂²	semidirect
198. C₂²⋊Q₈×D₅₃	C₂²	semidirect
199. C₂²⋊Q₈×D₅₃	C₂²	semidirect
200. C₂²⋊Q₈×D₅₃	C₂²	semidirect
203. #121×D₅₃	C₂²	semidirect
204. #121×D₅₃	C₂²	semidirect
205. #121×D₅₃	C₂²	semidirect
208. #120×D₅₃	C₂²	semidirect
209. #120×D₅₃	C₂²	semidirect
210. C₄×Q₈×D₅₃	C₂²	semidirect
211. C₄×D₄×D₅₃	C₂²	semidirect
212. C₄×D₄×D₅₃	C₂²	semidirect
213. C₄×D₄×D₅₃	C₂²	semidirect
214. C₄×D₄×D₅₃	C₂²	semidirect
215. #117×D₅₃	C₂²	semidirect
216. #117×D₅₃	C₂²	semidirect
217. #117×D₅₃	C₂²	semidirect
218. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
219. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
220. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
221. C₂×C₄²×D₅₃	C₂²	semidirect
222. C₅₃×#563	C₂²	semidirect
223. C₅₃×#562	C₂²	semidirect
224. C₅₃×H(3,𝔽₄)	C₂²	semidirect
225. C₅₃×#555	C₂²	semidirect
226. C₅₃×#551	C₂²	semidirect
227. C₅₃×#551	C₂²	semidirect
228. C₅₃×#546	C₂²	semidirect
229. C₅₃×#542	C₂²	semidirect
230. C₅₃×#538	C₂²	semidirect
231. C₅₃×#536	C₂²	semidirect
232. C₅₃×#534	C₂²	semidirect
233. C₅₃×#529	C₂²	semidirect
234. C₂×#124×C₅₃	C₂²	semidirect
243. C₂²×Dic₁₀₆	C₂³	semidirect
244. C₂²×Dic₁₀₆	C₂³	semidirect
251. C₂×Q₈×D₅₃	C₂³	semidirect
252. C₂×Q₈×D₅₃	C₂³	semidirect
253. C₂×Q₈×D₅₃	C₂³	semidirect
255. C₂²×D₂₁₂	C₂³	semidirect
257. C₂²×C₂²⋊D₅₃	C₂³	semidirect
258. C₂²×C₂²⋊D₅₃	C₂³	semidirect
273. C₂×D₄×D₅₃	C₂³	semidirect
274. C₂×D₄×D₅₃	C₂³	semidirect
282. #13133217	C₂³	semidirect
283. #13133217	C₂³	semidirect
284. #13133216	C₂³	semidirect
285. #13133216	C₂³	semidirect
286. #13133216	C₂³	semidirect
287. #13133216	C₂³	semidirect
288. #13133215	C₂³	semidirect
289. #13133215	C₂³	semidirect
290. #13133215	C₂³	semidirect
291. #13133215	C₂³	semidirect
292. #13133212	C₂³	semidirect
293. #13133212	C₂³	semidirect
294. #13133212	C₂³	semidirect
295. #13133212	C₂³	semidirect
296. #13133212	C₂³	semidirect
297. #13133212	C₂³	semidirect
298. #13133212	C₂³	semidirect
299. #13133212	C₂³	semidirect
300. #13133212	C₂³	semidirect
301. #13133211	C₂³	semidirect
302. #13133211	C₂³	semidirect
303. #13133211	C₂³	semidirect
304. #13133210	C₂³	semidirect
305. #13133210	C₂³	semidirect
306. #13133210	C₂³	semidirect
307. #13133210	C₂³	semidirect
308. #13133210	C₂³	semidirect
309. #13133210	C₂³	semidirect
310. #13133210	C₂³	semidirect
311. #13133210	C₂³	semidirect
312. #13133210	C₂³	semidirect
313. #13133209	C₂³	semidirect
314. #13133208	C₂³	semidirect
315. #13133208	C₂³	semidirect
316. #13133207	C₂³	semidirect
317. #13133207	C₂³	semidirect
320. #13133206	C₂³	semidirect
321. #13133206	C₂³	semidirect
322. #13133206	C₂³	semidirect
323. #13133206	C₂³	semidirect
324. #13133206	C₂³	semidirect
325. #13133206	C₂³	semidirect
326. #13133206	C₂³	semidirect
327. #13133206	C₂³	semidirect
330. #13133205	C₂³	semidirect
331. #13133205	C₂³	semidirect
332. #13133205	C₂³	semidirect
333. #13133205	C₂³	semidirect
334. #13133205	C₂³	semidirect
335. #13133205	C₂³	semidirect
336. #13133205	C₂³	semidirect
337. #13133205	C₂³	semidirect
340. #13133204	C₂³	semidirect
341. #13133204	C₂³	semidirect
342. #13133204	C₂³	semidirect
343. #13133204	C₂³	semidirect
344. #13133204	C₂³	semidirect
345. #13133204	C₂³	semidirect
346. #13133204	C₂³	semidirect
347. #13133204	C₂³	semidirect
350. #13133203	C₂³	semidirect
351. #13133203	C₂³	semidirect
352. #13133203	C₂³	semidirect
353. #13133203	C₂³	semidirect
354. #13133203	C₂³	semidirect
355. #13133203	C₂³	semidirect
356. #13133203	C₂³	semidirect
357. #13133203	C₂³	semidirect
358. #13133203	C₂³	semidirect
359. #13133203	C₂³	semidirect
360. #13133203	C₂³	semidirect
361. #13133203	C₂³	semidirect
362. #13133203	C₂³	semidirect
363. #13133203	C₂³	semidirect
364. #13133203	C₂³	semidirect
365. #13133203	C₂³	semidirect
366. #13133203	C₂³	semidirect
367. #13133203	C₂³	semidirect
368. #13133203	C₂³	semidirect
369. #13133203	C₂³	semidirect
371. #13133202	C₂³	semidirect
372. #13133202	C₂³	semidirect
373. #13133202	C₂³	semidirect
374. #13133202	C₂³	semidirect
375. #13133202	C₂³	semidirect
376. #13133202	C₂³	semidirect
377. #13133202	C₂³	semidirect
378. #13133202	C₂³	semidirect
379. #13133202	C₂³	semidirect
380. #13133202	C₂³	semidirect
381. #13133202	C₂³	semidirect
383. #13133201	C₂³	semidirect
384. #13133201	C₂³	semidirect
385. #13133201	C₂³	semidirect
386. #13133201	C₂³	semidirect
387. #13133201	C₂³	semidirect
388. #13133201	C₂³	semidirect
390. #13133200	C₂³	semidirect
391. #13133200	C₂³	semidirect
392. #13133200	C₂³	semidirect
393. #13133200	C₂³	semidirect
394. #13133200	C₂³	semidirect
395. #13133200	C₂³	semidirect
397. #13133199	C₂³	semidirect
398. #13133199	C₂³	semidirect
399. #13133199	C₂³	semidirect
400. #13133199	C₂³	semidirect
401. #13133199	C₂³	semidirect
402. #13133199	C₂³	semidirect
403. #13133199	C₂³	semidirect
404. #13133199	C₂³	semidirect
405. #13133199	C₂³	semidirect
406. #13133199	C₂³	semidirect
407. #13133199	C₂³	semidirect
409. #13133198	C₂³	semidirect
410. #13133198	C₂³	semidirect
411. #13133198	C₂³	semidirect
412. #13133198	C₂³	semidirect
413. #13133198	C₂³	semidirect
414. #13133198	C₂³	semidirect
415. #13133197	C₂³	semidirect
416. #13133197	C₂³	semidirect
417. #13133197	C₂³	semidirect
418. #13133197	C₂³	semidirect
419. #13133197	C₂³	semidirect
420. #13133196	C₂³	semidirect
421. #13133196	C₂³	semidirect
422. #13133196	C₂³	semidirect
423. #13133196	C₂³	semidirect
424. #13133196	C₂³	semidirect
425. #13133195	C₂³	semidirect
426. #13133195	C₂³	semidirect
427. #13133195	C₂³	semidirect
428. #13133195	C₂³	semidirect
429. #13133195	C₂³	semidirect
430. #13133195	C₂³	semidirect
431. #13133195	C₂³	semidirect
432. #13133195	C₂³	semidirect
433. #13133195	C₂³	semidirect
434. #13133194	C₂³	semidirect
435. #13133194	C₂³	semidirect
436. #13133194	C₂³	semidirect
437. #13133194	C₂³	semidirect
438. #13133194	C₂³	semidirect
439. #13133194	C₂³	semidirect
440. #13133194	C₂³	semidirect
441. #13133194	C₂³	semidirect
442. #13133194	C₂³	semidirect
443. #13133193	C₂³	semidirect
444. #13133193	C₂³	semidirect
445. #13133193	C₂³	semidirect
446. #13133193	C₂³	semidirect
447. #13133193	C₂³	semidirect
450. #13133192	C₂³	semidirect
451. #13133192	C₂³	semidirect
452. #13133192	C₂³	semidirect
455. #13133191	C₂³	semidirect
456. #13133191	C₂³	semidirect
457. #13133191	C₂³	semidirect
461. #13133190	C₂³	semidirect
462. #13133190	C₂³	semidirect
463. #13133190	C₂³	semidirect
464. #13133190	C₂³	semidirect
465. #13133190	C₂³	semidirect
466. #13133190	C₂³	semidirect
470. #13133189	C₂³	semidirect
471. #13133189	C₂³	semidirect
472. #13133189	C₂³	semidirect
473. #13133189	C₂³	semidirect
474. #13133189	C₂³	semidirect
475. #13133189	C₂³	semidirect
478. #13133188	C₂³	semidirect
479. #13133188	C₂³	semidirect
480. #13133188	C₂³	semidirect
486. #13133187	C₂³	semidirect
487. #13133187	C₂³	semidirect
488. #13133187	C₂³	semidirect
489. #13133187	C₂³	semidirect
490. #13133187	C₂³	semidirect
493. #13133186	C₂³	semidirect
494. #13133186	C₂³	semidirect
500. #13133185	C₂³	semidirect
501. #13133185	C₂³	semidirect
502. #13133185	C₂³	semidirect
503. #13133185	C₂³	semidirect
504. #13133185	C₂³	semidirect
505. Q₈×Dic₅₃	C₂³	semidirect
506. C₄×Dic₁₀₆	C₂³	semidirect
507. C₄×Dic₁₀₆	C₂³	semidirect
508. #13133182	C₂³	semidirect
509. #13133182	C₂³	semidirect
510. C₄×D₂₁₂	C₂³	semidirect
511. C₄×D₂₁₂	C₂³	semidirect
512. C₄×D₂₁₂	C₂³	semidirect
513. C₄×D₂₁₂	C₂³	semidirect
514. D₄×Dic₅₃	C₂³	semidirect
515. D₄×Dic₅₃	C₂³	semidirect
516. D₄×Dic₅₃	C₂³	semidirect
517. D₄×Dic₅₃	C₂³	semidirect
518. #13133179	C₂³	semidirect
519. #13133179	C₂³	semidirect
520. #13133179	C₂³	semidirect
521. #13133179	C₂³	semidirect
522. C₄×C₂²⋊D₅₃	C₂³	semidirect
523. C₄×C₂²⋊D₅₃	C₂³	semidirect
524. C₄×C₂²⋊D₅₃	C₂³	semidirect
525. C₄×C₂²⋊D₅₃	C₂³	semidirect
526. C₄×C₂²⋊D₅₃	C₂³	semidirect
527. C₄×C₂²⋊D₅₃	C₂³	semidirect
528. C₄×C₂²⋊D₅₃	C₂³	semidirect
529. #13133177	C₂³	semidirect
530. #13133177	C₂³	semidirect
531. #13133177	C₂³	semidirect
532. #13133177	C₂³	semidirect
533. #13133177	C₂³	semidirect
534. #13133177	C₂³	semidirect
535. #13133177	C₂³	semidirect
536. #13133176	C₂³	semidirect
537. #13133176	C₂³	semidirect
538. #13133176	C₂³	semidirect
539. #13133175	C₂³	semidirect
540. #13133175	C₂³	semidirect
541. #13133175	C₂³	semidirect
542. #13133175	C₂³	semidirect
543. #13133175	C₂³	semidirect
544. #13133174	C₂³	semidirect
545. #13133174	C₂³	semidirect
546. #13133174	C₂³	semidirect
547. #13133174	C₂³	semidirect
548. #13133174	C₂³	semidirect
549. #13133174	C₂³	semidirect
550. #13133173	C₂³	semidirect
551. #13133173	C₂³	semidirect
552. #13133173	C₂³	semidirect
553. #13133173	C₂³	semidirect
554. #13133173	C₂³	semidirect
564. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
565. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
566. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
567. C₂×#11719921	C₂³	semidirect
568. C₂×#11719921	C₂³	semidirect
569. C₂×#11719921	C₂³	semidirect
570. C₂×#11719921	C₂³	semidirect
571. C₂×#11719921	C₂³	semidirect
587. C₂²⋊C₄×D₅₃	C₂³	semidirect
588. C₂²⋊C₄×D₅₃	C₂³	semidirect
589. C₂²⋊C₄×D₅₃	C₂³	semidirect
590. C₂²⋊C₄×D₅₃	C₂³	semidirect
591. C₂²⋊C₄×D₅₃	C₂³	semidirect
592. C₂²⋊C₄×D₅₃	C₂³	semidirect
593. C₂²⋊C₄×D₅₃	C₂³	semidirect
594. C₂²⋊C₄×D₅₃	C₂³	semidirect
595. C₂²⋊C₄×D₅₃	C₂³	semidirect
596. C₂²⋊C₄×D₅₃	C₂³	semidirect
597. C₂²⋊C₄×D₅₃	C₂³	semidirect
598. C₂×C₄×Dic₅₃	C₂³	semidirect
599. C₂×C₄×Dic₅₃	C₂³	semidirect
606. C₄²×D₅₃	C₂³	semidirect
607. C₄²×D₅₃	C₂³	semidirect
608. C₄²×D₅₃	C₂³	semidirect
610. C₂²×Q₈×C₅₃	C₂³	semidirect
612. C₂²×D₄×C₅₃	C₂³	semidirect
613. C₄⋊Q₈×C₅₃	C₂³	semidirect
614. C₄⋊Q₈×C₅₃	C₂³	semidirect
615. #126×C₅₃	C₂³	semidirect
616. #126×C₅₃	C₂³	semidirect
617. #126×C₅₃	C₂³	semidirect
618. #125×C₅₃	C₂³	semidirect
621. #124×C₅₃	C₂³	semidirect
622. #124×C₅₃	C₂³	semidirect
623. #124×C₅₃	C₂³	semidirect
624. #124×C₅₃	C₂³	semidirect
625. #124×C₅₃	C₂³	semidirect
626. #124×C₅₃	C₂³	semidirect
627. #124×C₅₃	C₂³	semidirect
628. #124×C₅₃	C₂³	semidirect
630. #123×C₅₃	C₂³	semidirect
631. #123×C₅₃	C₂³	semidirect
632. #123×C₅₃	C₂³	semidirect
633. #123×C₅₃	C₂³	semidirect
634. #123×C₅₃	C₂³	semidirect
635. #123×C₅₃	C₂³	semidirect
636. C₂²⋊Q₈×C₅₃	C₂³	semidirect
637. C₂²⋊Q₈×C₅₃	C₂³	semidirect
638. C₂²⋊Q₈×C₅₃	C₂³	semidirect
639. C₂²⋊Q₈×C₅₃	C₂³	semidirect
640. C₂²⋊Q₈×C₅₃	C₂³	semidirect
643. #121×C₅₃	C₂³	semidirect
644. #121×C₅₃	C₂³	semidirect
645. #121×C₅₃	C₂³	semidirect
648. #120×C₅₃	C₂³	semidirect
649. #120×C₅₃	C₂³	semidirect
650. C₄×Q₈×C₅₃	C₂³	semidirect
651. C₄×D₄×C₅₃	C₂³	semidirect
652. C₄×D₄×C₅₃	C₂³	semidirect
653. C₄×D₄×C₅₃	C₂³	semidirect
654. C₄×D₄×C₅₃	C₂³	semidirect
655. #117×C₅₃	C₂³	semidirect
656. #117×C₅₃	C₂³	semidirect
657. #117×C₅₃	C₂³	semidirect
658. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
659. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
660. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
661. C₂×C₄²×C₅₃	C₂³	semidirect
1119. #3545	D₅₃	direct (N × H)
1143. D₅₃	#3545	direct (N × H)
1154. #563	C₂×D₅₃	semidirect
1164. #562	C₂×D₅₃	semidirect
1171. H(3,𝔽₄)	C₂×D₅₃	semidirect
1181. #555	C₂×D₅₃	semidirect
1206. #551	C₂×D₅₃	semidirect
1207. #551	C₂×D₅₃	semidirect
1223. #546	C₂×D₅₃	semidirect
1239. #542	C₂×D₅₃	semidirect
1255. #538	C₂×D₅₃	semidirect
1267. #536	C₂×D₅₃	semidirect
1279. #534	C₂×D₅₃	semidirect
1293. #529	C₂×D₅₃	semidirect
1317. C₂×#124	C₂×D₅₃	semidirect
1351. C₅₃	C₂×#3545	semidirect
1372. C₂²×Q₈	C₂²×D₅₃	semidirect
1395. C₂²×D₄	C₂²×D₅₃	semidirect
1413. C₄⋊Q₈	C₂²×D₅₃	semidirect
1414. C₄⋊Q₈	C₂²×D₅₃	semidirect
1436. #126	C₂²×D₅₃	semidirect
1437. #126	C₂²×D₅₃	semidirect
1438. #126	C₂²×D₅₃	semidirect
1444. #125	C₂²×D₅₃	semidirect
1499. #124	C₂²×D₅₃	semidirect
1500. #124	C₂²×D₅₃	semidirect
1501. #124	C₂²×D₅₃	semidirect
1502. #124	C₂²×D₅₃	semidirect
1503. #124	C₂²×D₅₃	semidirect
1504. #124	C₂²×D₅₃	semidirect
1505. #124	C₂²×D₅₃	semidirect
1506. #124	C₂²×D₅₃	semidirect
1553. #123	C₂²×D₅₃	semidirect
1554. #123	C₂²×D₅₃	semidirect
1555. #123	C₂²×D₅₃	semidirect
1556. #123	C₂²×D₅₃	semidirect
1557. #123	C₂²×D₅₃	semidirect
1558. #123	C₂²×D₅₃	semidirect
1592. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1593. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1594. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1595. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1596. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1632. #121	C₂²×D₅₃	semidirect
1633. #121	C₂²×D₅₃	semidirect
1634. #121	C₂²×D₅₃	semidirect
1661. #120	C₂²×D₅₃	semidirect
1662. #120	C₂²×D₅₃	semidirect
1668. C₄×Q₈	C₂²×D₅₃	semidirect
1695. C₄×D₄	C₂²×D₅₃	semidirect
1696. C₄×D₄	C₂²×D₅₃	semidirect
1697. C₄×D₄	C₂²×D₅₃	semidirect
1698. C₄×D₄	C₂²×D₅₃	semidirect
1718. #117	C₂²×D₅₃	semidirect
1719. #117	C₂²×D₅₃	semidirect
1720. #117	C₂²×D₅₃	semidirect
1764. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1765. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1766. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1778. C₂×C₄²	C₂²×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20289073	2
#20289072	2
#20289071	2
#20289070	2
#20289069	2
#20289068	2
#20289067	2
#20289066	2
#20289065	2
#20289064	2
#20289063	2
#20289062	2
#20289061	2
#563×D₅₃	2
#562×D₅₃	2
H(3,𝔽₄)×D₅₃	2
#555×D₅₃	2
#551×D₅₃	2
#546×D₅₃	2
#542×D₅₃	2
#538×D₅₃	2
#536×D₅₃	2
#534×D₅₃	2
#529×D₅₃	2
C₂×#124×D₅₃	2
C₅₃×#3545	2
C₂×#3545	53

Subgroups — D53×#3545 #28291839

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#3545 #28291839