Subgroups — #28293138

Order 13568.

7390 conjugacy classes of subgroups.

The subgroup lattice has 2260 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288774	C₂	1	4	yes	maximal, complemented
2	#20288770	C₂	1	4	yes	maximal, complemented
3	#20288740	C₂	1	4	yes	maximal, complemented
4	#20288736	C₂	1	4	yes	maximal, complemented
5	#20288669	C₂	1	4	yes	maximal, complemented
6	#20288665	C₂	1	4	yes	maximal, complemented
7	#20288646	C₂	1	4	yes	maximal, complemented
8	#20288642	C₂	1	4	yes	maximal, complemented
9	#20288562	C₂	1	2	yes	maximal, complemented
10	#20288554	C₂	1	1	yes	maximal, characteristic, complemented
11	#20288547	C₂	1	2	yes	maximal, complemented
12	#20288511	C₂	1	1	yes	maximal, characteristic, complemented
13	#20288472	C₂	1	1	yes	maximal, characteristic, complemented
14	#20288427	C₂	1	2	yes	maximal, complemented
15	#20288400	C₂	1	2	yes	maximal, complemented
16	#20288398	C₂	1	2	yes	maximal, complemented
17	#20288347	C₂	1	2	yes	maximal, complemented
18	#20288133	C₂	1	2	yes	maximal, complemented
19	#20288125	C₂	1	2	yes	maximal, complemented
20	#20288121	C₂	1	2	yes	maximal, complemented
21	#20288101	C₂	1	2	yes	maximal, complemented
22	C₂×#16811213	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16811210	C₂	1	1	yes	maximal, characteristic, complemented
24	#538×D₅₃	C₂	1	2	yes	maximal, complemented
25	#20287919	C₂	1	2	yes	maximal, complemented
26	C₂×#16811095	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#3505	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#13133262	C₂²	1	2	yes	—
29	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
30	#16811357	C₂²	1	4	yes	complemented
31	#16811355	C₂²	1	4	yes	complemented
32	#16811345	C₂²	1	4	yes	complemented
33	#16811340	C₂²	1	4	yes	complemented
34	#16811340	C₂²	1	4	yes	complemented
35	#16811336	C₂²	1	4	yes	complemented
36	#16811335	C₂²	1	4	yes	complemented
37	#16811335	C₂²	1	4	yes	complemented
38	#16811331	C₂²	1	2	yes	complemented
39	#16811328	C₂²	1	4	yes	complemented
40	#16811328	C₂²	1	2	yes	complemented
41	#16811327	C₂²	1	4	yes	complemented
42	#16811326	C₂²	1	4	yes	complemented
43	#16811324	C₂²	1	4	yes	complemented
44	#16811324	C₂²	1	4	yes	complemented
45	#16811324	C₂²	1	4	yes	complemented
46	#16811322	C₂²	1	4	yes	complemented
47	#16811322	C₂²	1	4	yes	complemented
48	#16811319	C₂²	1	2	yes	complemented
49	#16811318	C₂²	1	4	yes	complemented
50	#16811316	C₂²	1	4	yes	complemented
51	#16811313	C₂²	1	2	yes	complemented
52	#16811306	C₂²	1	4	yes	complemented
53	#16811305	C₂²	1	4	yes	complemented
54	#16811305	C₂²	1	4	yes	complemented
55	#16811302	C₂²	1	4	yes	complemented
56	#16811302	C₂²	1	4	yes	complemented
57	#16811302	C₂²	1	4	yes	complemented
58	#16811302	C₂²	1	4	yes	complemented
59	#16811300	C₂²	1	4	yes	complemented
60	#16811300	C₂²	1	4	yes	complemented
61	#16811298	C₂²	1	4	yes	complemented
62	#16811297	C₂²	1	4	yes	complemented
63	#16811297	C₂²	1	4	yes	complemented
64	#16811297	C₂²	1	4	yes	complemented
65	#16811296	C₂²	1	4	yes	complemented
66	#16811291	C₂²	1	4	yes	complemented
67	Q₈×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
68	#16811286	C₂²	1	2	yes	complemented
69	#16811283	C₂²	1	4	yes	complemented
70	#16811282	C₂²	1	2	yes	complemented
71	#16811274	C₂²	1	2	yes	complemented
72	#16811273	C₂²	1	2	yes	complemented
73	#16811271	C₂²	1	4	yes	complemented
74	#16811269	C₂²	1	2	yes	complemented
75	#16811269	C₂²	1	4	yes	complemented
76	#16811269	C₂²	1	4	yes	complemented
77	#16811268	C₂²	1	4	yes	complemented
78	#16811265	C₂²	1	4	yes	complemented
79	#16811265	C₂²	1	4	yes	complemented
80	#16811265	C₂²	1	4	yes	complemented
81	#16811265	C₂²	1	4	yes	complemented
82	#16811263	C₂²	1	4	yes	complemented
83	#16811263	C₂²	1	4	yes	complemented
84	#16811263	C₂²	1	4	yes	complemented
85	#16811262	C₂²	1	4	yes	complemented
86	#16811262	C₂²	1	4	yes	complemented
87	#16811262	C₂²	1	4	yes	complemented
88	#16811262	C₂²	1	4	yes	complemented
89	#16811261	C₂²	1	4	yes	complemented
90	#16811257	C₂²	1	4	yes	complemented
91	#16811257	C₂²	1	4	yes	complemented
92	#16811257	C₂²	1	2	yes	complemented
93	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
94	#16811255	C₂²	1	4	yes	complemented
95	#16811255	C₂²	1	4	yes	complemented
96	#16811252	C₂²	1	2	yes	complemented
97	#16811249	C₂²	1	2	yes	complemented
98	#16811248	C₂²	1	2	yes	complemented
99	#16811243	C₂²	1	4	yes	complemented
100	#16811243	C₂²	1	4	yes	complemented
101	#16811241	C₂²	1	4	yes	complemented
102	#16811239	C₂²	1	4	yes	complemented
103	#16811232	C₂²	1	4	yes	complemented
104	#16811225	C₂²	1	4	yes	complemented
105	#16811225	C₂²	1	4	yes	complemented
106	#16811223	C₂²	1	4	yes	complemented
107	#16811221	C₂²	1	4	yes	complemented
108	#16811220	C₂²	1	2	yes	complemented
109	#16811218	C₂²	1	4	yes	complemented
110	#16811217	C₂²	1	4	yes	complemented
111	#16811217	C₂²	1	4	yes	complemented
112	#16811214	C₂²	1	4	yes	complemented
113	#16811213	C₂²	1	2	yes	complemented
114	#16811213	C₂²	1	2	yes	complemented
115	#16811213	C₂²	1	2	yes	complemented
116	#16811213	C₂²	1	2	yes	complemented
117	#16811213	C₂²	1	4	yes	complemented
118	#16811213	C₂²	1	4	yes	complemented
119	#16811212	C₂²	1	4	yes	complemented
120	#16811212	C₂²	1	4	yes	complemented
121	#16811211	C₂²	1	2	yes	complemented
122	#16811210	C₂²	1	2	yes	complemented
123	#16811210	C₂²	1	2	yes	complemented
124	#16811210	C₂²	1	2	yes	complemented
125	#16811210	C₂²	1	2	yes	complemented
126	#16811210	C₂²	1	4	yes	complemented
127	#16811210	C₂²	1	4	yes	complemented
128	#16811210	C₂²	1	4	yes	complemented
129	#16811209	C₂²	1	4	yes	complemented
130	#16811208	C₂²	1	4	yes	complemented
131	#16811208	C₂²	1	4	yes	complemented
132	#16811207	C₂²	1	4	yes	complemented
133	#16811207	C₂²	1	4	yes	complemented
134	#16811206	C₂²	1	4	yes	complemented
135	#16811206	C₂²	1	4	yes	complemented
136	#16811205	C₂²	1	4	yes	complemented
137	#16811200	C₂²	1	2	yes	complemented
138	#16811188	C₂²	1	4	yes	complemented
139	#16811184	C₂²	1	4	yes	complemented
140	#16811182	C₂²	1	2	yes	complemented
141	#16811182	C₂²	1	2	yes	complemented
142	#16811181	C₂²	1	2	yes	complemented
143	#16811175	C₂²	1	2	yes	complemented
144	#16811170	C₂²	1	4	yes	complemented
145	#16811169	C₂²	1	4	yes	complemented
146	#16811168	C₂²	1	2	yes	complemented
147	#16811160	C₂²	1	4	yes	complemented
148	#16811159	C₂²	1	4	yes	complemented
149	#16811158	C₂²	1	4	yes	complemented
150	#16811157	C₂²	1	2	yes	complemented
151	#16811156	C₂²	1	4	yes	complemented
152	#16811154	C₂²	1	4	yes	complemented
153	#16811153	C₂²	1	4	yes	complemented
154	#16811151	C₂²	1	4	yes	complemented
155	#16811151	C₂²	1	4	yes	complemented
156	#16811150	C₂²	1	4	yes	complemented
157	#16811150	C₂²	1	4	yes	complemented
158	#16811150	C₂²	1	4	yes	complemented
159	C₂×#13133212	C₂²	1	2	yes	complemented
160	C₂×#13133212	C₂²	1	2	yes	complemented
161	#126×D₅₃	C₂²	1	4	yes	complemented
162	C₂×#13133206	C₂²	1	2	yes	complemented
163	C₂×#13133203	C₂²	1	2	yes	complemented
164	#124×D₅₃	C₂²	1	4	yes	complemented
165	#16811135	C₂²	1	4	yes	complemented
166	#16811134	C₂²	1	2	yes	complemented
167	#16811133	C₂²	1	4	yes	complemented
168	#16811132	C₂²	1	4	yes	complemented
169	#16811132	C₂²	1	4	yes	complemented
170	#16811132	C₂²	1	4	yes	complemented
171	#16811131	C₂²	1	4	yes	complemented
172	#16811129	C₂²	1	4	yes	complemented
173	#16811129	C₂²	1	4	yes	complemented
174	C₂×#13133202	C₂²	1	2	yes	complemented
175	C₂×#13133201	C₂²	1	2	yes	complemented
176	#123×D₅₃	C₂²	1	4	yes	complemented
177	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
178	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
179	C₂×#13133192	C₂²	1	2	yes	complemented
180	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
181	C₂×#13133189	C₂²	1	2	yes	complemented
182	#121×D₅₃	C₂²	1	2	yes	complemented
183	#121×D₅₃	C₂²	1	4	yes	complemented
184	C₂×#13133187	C₂²	1	2	yes	complemented
185	C₂×#13133185	C₂²	1	2	yes	complemented
186	#120×D₅₃	C₂²	1	4	yes	complemented
187	#16811103	C₂²	1	4	yes	complemented
188	#16811102	C₂²	1	4	yes	complemented
189	#16811102	C₂²	1	4	yes	complemented
190	#16811096	C₂²	1	2	yes	—
191	#16811096	C₂²	1	2	yes	complemented
192	#16811096	C₂²	1	4	yes	complemented
193	#16811095	C₂²	1	4	yes	complemented
194	#16811095	C₂²	1	4	yes	complemented
195	#16811095	C₂²	1	4	yes	complemented
196	#16811095	C₂²	1	4	yes	complemented
197	#16811095	C₂²	1	4	yes	complemented
198	#16811095	C₂²	1	4	yes	complemented
199	#16811091	C₂²	1	4	yes	complemented
200	C₄×#11719947	C₂²	1	4	yes	complemented
201	C₄×#11719947	C₂²	1	4	yes	complemented
202	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
203	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
204	C₂×D₄×Dic₅₃	C₂²	1	2	yes	complemented
205	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
206	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
207	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
208	C₂×#13133177	C₂²	1	1	yes	characteristic
209	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
210	C₂×#13133177	C₂²	1	2	yes	complemented
211	C₂×#13133177	C₂²	1	4	yes	complemented
212	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
213	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
214	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
215	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
216	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
217	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
218	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
219	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
220	C₅₃×#553	C₂²	1	4	yes	complemented
221	C₅₃×#553	C₂²	1	2	yes	complemented
222	C₅₃×#552	C₂²	1	2	yes	complemented
223	C₅₃×#551	C₂²	1	4	yes	complemented
224	C₅₃×#548	C₂²	1	2	yes	complemented
225	C₅₃×#546	C₂²	1	2	yes	complemented
226	C₅₃×#539	C₂²	1	2	yes	complemented
227	C₅₃×#538	C₂²	1	2	yes	complemented
228	C₅₃×#534	C₂²	1	2	yes	complemented
229	C₅₃×#529	C₂²	1	2	yes	complemented
230	C₅₃×#525	C₂²	1	2	yes	complemented
231	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
232	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
233	C₅₃×#518	C₂²	1	2	yes	complemented
234	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
235	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
236	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
237	#13133262	—	2	16	no	—
238	C₂×#11719945	C₂³	1	4	yes	—
239	C₂×#11719945	C₂³	1	2	yes	complemented
240	C₂×#11719945	C₂³	1	4	yes	complemented
241	C₂×#11719945	C₂³	1	4	yes	complemented
242	C₂×#11719947	C₂³	1	4	yes	—
243	C₂×#11719947	C₂³	1	4	yes	—
244	C₂×#11719947	C₂³	1	4	yes	complemented
245	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
246	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
247	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
248	C₂²×D₂₁₂	C₂³	1	2	yes	—
249	C₂²×D₂₁₂	C₂³	1	2	yes	—
250	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
251	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
252	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
253	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
254	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
255	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
256	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
257	C₂×D₄×D₅₃	—	2	8	no	—
258	C₂×D₄×D₅₃	C₂³	1	4	yes	—
259	C₂×D₄×D₅₃	C₂³	1	4	yes	—
260	C₂×D₄×D₅₃	C₂³	1	4	yes	—
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	complemented
265	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
266	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
267	C₂³×Dic₅₃	C₂³	1	2	yes	complemented
268	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
269	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
270	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
271	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
272	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
273	C₂²×C₄×D₅₃	C₂³	1	4	yes	complemented
274	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
275	#13133216	C₂³	1	2	yes	complemented
276	#13133216	C₂³	1	2	yes	complemented
277	#13133216	C₂³	1	4	yes	complemented
278	#13133215	C₂³	1	2	yes	complemented
279	#13133215	C₂³	1	4	yes	complemented
280	#13133213	C₂³	1	4	yes	—
281	#13133213	C₂³	1	4	yes	—
282	#13133213	C₂³	1	2	yes	complemented
283	#13133212	C₂³	1	4	yes	—
284	#13133212	C₂³	1	4	yes	—
285	#13133212	C₂³	1	4	yes	—
286	#13133212	C₂³	1	4	yes	—
287	#13133212	C₂³	1	4	yes	—
288	#13133212	C₂³	1	4	yes	—
289	#13133212	C₂³	1	4	yes	complemented
290	#13133212	C₂³	1	4	yes	complemented
291	#13133212	C₂³	1	4	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	#13133211	C₂³	1	4	yes	—
297	#13133211	C₂³	1	4	yes	—
298	#13133211	C₂³	1	4	yes	complemented
299	#13133210	C₂³	1	4	yes	complemented
300	#13133210	C₂³	1	4	yes	complemented
301	#13133210	C₂³	1	4	yes	complemented
302	#13133210	C₂³	1	4	yes	complemented
303	#13133210	C₂³	1	4	yes	complemented
304	#13133209	C₂³	1	2	yes	complemented
305	#13133208	C₂³	1	4	yes	complemented
306	#13133207	C₂³	1	4	yes	complemented
307	#13133207	C₂³	1	4	yes	complemented
308	#13133207	C₂³	1	4	yes	complemented
309	#13133207	C₂³	1	4	yes	complemented
310	#13133207	C₂³	1	4	yes	complemented
311	#13133207	C₂³	1	4	yes	complemented
312	#13133206	C₂³	1	4	yes	—
313	#13133206	C₂³	1	4	yes	—
314	#13133206	C₂³	1	4	yes	complemented
315	#13133206	C₂³	1	4	yes	complemented
316	#13133205	C₂³	1	4	yes	—
317	#13133205	C₂³	1	4	yes	—
318	#13133205	C₂³	1	2	yes	complemented
319	#13133204	C₂³	1	4	yes	complemented
320	#13133203	C₂³	1	4	yes	—
321	#13133203	C₂³	1	4	yes	—
322	#13133203	C₂³	1	4	yes	—
323	#13133203	C₂³	1	4	yes	—
324	#13133203	C₂³	1	4	yes	—
325	#13133203	C₂³	1	4	yes	—
326	#13133203	C₂³	1	4	yes	complemented
327	#13133203	C₂³	1	4	yes	complemented
328	#13133203	C₂³	1	4	yes	complemented
329	#13133203	C₂³	1	4	yes	complemented
330	#13133203	C₂³	1	4	yes	complemented
331	#13133203	C₂³	1	4	yes	complemented
332	#13133202	C₂³	1	4	yes	—
333	#13133202	C₂³	1	4	yes	—
334	#13133202	C₂³	1	4	yes	—
335	#13133202	C₂³	1	4	yes	—
336	#13133202	C₂³	1	4	yes	—
337	#13133202	C₂³	1	4	yes	—
338	#13133202	C₂³	1	4	yes	complemented
339	#13133202	C₂³	1	4	yes	complemented
340	#13133202	C₂³	1	4	yes	complemented
341	#13133202	C₂³	1	4	yes	complemented
342	#13133202	C₂³	1	4	yes	complemented
343	#13133202	C₂³	1	4	yes	complemented
344	#13133201	C₂³	1	4	yes	—
345	#13133201	C₂³	1	4	yes	—
346	#13133201	C₂³	1	4	yes	complemented
347	#13133201	C₂³	1	4	yes	complemented
348	#13133201	C₂³	1	4	yes	complemented
349	#13133201	C₂³	1	4	yes	complemented
350	#13133200	C₂³	1	4	yes	—
351	#13133200	C₂³	1	4	yes	—
352	#13133200	C₂³	1	4	yes	—
353	#13133200	C₂³	1	4	yes	complemented
354	#13133200	C₂³	1	4	yes	complemented
355	#13133199	C₂³	1	4	yes	complemented
356	#13133199	C₂³	1	4	yes	complemented
357	#13133199	C₂³	1	4	yes	complemented
358	#13133199	C₂³	1	4	yes	complemented
359	#13133199	C₂³	1	4	yes	complemented
360	#13133199	C₂³	1	4	yes	complemented
361	#13133198	C₂³	1	4	yes	—
362	#13133198	C₂³	1	4	yes	complemented
363	#13133198	C₂³	1	4	yes	complemented
364	#13133198	C₂³	1	4	yes	complemented
365	#13133197	C₂³	1	4	yes	complemented
366	#13133197	C₂³	1	2	yes	complemented
367	#13133197	C₂³	1	4	yes	complemented
368	#13133196	C₂³	1	2	yes	—
369	#13133196	C₂³	1	2	yes	—
370	#13133196	C₂³	1	4	yes	complemented
371	#13133196	C₂³	1	4	yes	complemented
372	#13133196	C₂³	1	2	yes	complemented
373	#13133196	C₂³	1	2	yes	complemented
374	#13133196	C₂³	1	2	yes	complemented
375	#13133195	C₂³	1	4	yes	—
376	#13133195	C₂³	1	4	yes	—
377	#13133195	C₂³	1	4	yes	complemented
378	#13133195	C₂³	1	4	yes	complemented
379	#13133195	C₂³	1	4	yes	complemented
380	#13133195	C₂³	1	4	yes	complemented
381	#13133195	C₂³	1	4	yes	complemented
382	#13133195	C₂³	1	4	yes	complemented
383	#13133195	C₂³	1	4	yes	complemented
384	#13133194	C₂³	1	4	yes	—
385	#13133194	C₂³	1	4	yes	—
386	#13133194	C₂³	1	4	yes	complemented
387	#13133194	C₂³	1	4	yes	complemented
388	#13133194	C₂³	1	4	yes	complemented
389	#13133194	C₂³	1	4	yes	complemented
390	#13133194	C₂³	1	4	yes	complemented
391	#13133193	C₂³	1	2	yes	complemented
392	#13133193	C₂³	1	4	yes	complemented
393	#13133192	C₂³	1	4	yes	—
394	#13133192	C₂³	1	4	yes	—
395	#13133192	C₂³	1	4	yes	—
396	#13133192	C₂³	1	4	yes	—
397	#13133192	C₂³	1	4	yes	complemented
398	#13133192	C₂³	1	2	yes	complemented
399	#13133192	C₂³	1	4	yes	complemented
400	#13133191	C₂³	1	4	yes	—
401	#13133191	C₂³	1	4	yes	—
402	#13133191	C₂³	1	2	yes	—
403	#13133191	C₂³	1	2	yes	—
404	#13133191	C₂³	1	2	yes	complemented
405	#13133191	C₂³	1	2	yes	complemented
406	#13133191	C₂³	1	2	yes	complemented
407	#13133190	C₂³	1	4	yes	—
408	#13133190	C₂³	1	4	yes	—
409	#13133190	C₂³	1	4	yes	—
410	#13133190	C₂³	1	4	yes	—
411	#13133190	C₂³	1	4	yes	—
412	#13133190	C₂³	1	4	yes	—
413	#13133190	C₂³	1	4	yes	—
414	#13133190	C₂³	1	4	yes	—
415	#13133190	C₂³	1	4	yes	complemented
416	#13133190	C₂³	1	4	yes	complemented
417	#13133190	C₂³	1	4	yes	complemented
418	#13133190	C₂³	1	4	yes	complemented
419	#13133190	C₂³	1	4	yes	complemented
420	#13133189	C₂³	1	4	yes	—
421	#13133189	C₂³	1	4	yes	—
422	#13133189	C₂³	1	4	yes	—
423	#13133189	C₂³	1	4	yes	—
424	#13133189	C₂³	1	4	yes	—
425	#13133189	C₂³	1	4	yes	—
426	#13133189	C₂³	1	4	yes	—
427	#13133189	C₂³	1	4	yes	—
428	#13133189	C₂³	1	4	yes	complemented
429	#13133189	C₂³	1	4	yes	complemented
430	#13133189	C₂³	1	4	yes	complemented
431	#13133189	C₂³	1	4	yes	complemented
432	#13133189	C₂³	1	4	yes	complemented
433	#13133188	C₂³	1	2	yes	complemented
434	#13133188	C₂³	1	4	yes	complemented
435	#13133187	C₂³	1	4	yes	—
436	#13133187	C₂³	1	4	yes	—
437	#13133187	C₂³	1	4	yes	—
438	#13133187	C₂³	1	4	yes	—
439	#13133187	C₂³	1	4	yes	—
440	#13133187	C₂³	1	4	yes	—
441	#13133187	C₂³	1	4	yes	—
442	#13133187	C₂³	1	4	yes	—
443	#13133187	C₂³	1	4	yes	complemented
444	#13133186	C₂³	1	4	yes	—
445	#13133186	C₂³	1	4	yes	complemented
446	#13133185	C₂³	1	4	yes	—
447	#13133185	C₂³	1	4	yes	—
448	#13133185	C₂³	1	4	yes	—
449	#13133185	C₂³	1	4	yes	—
450	#13133185	C₂³	1	4	yes	—
451	#13133185	C₂³	1	4	yes	—
452	#13133185	C₂³	1	4	yes	—
453	#13133185	C₂³	1	4	yes	complemented
454	#13133185	C₂³	1	4	yes	complemented
455	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
456	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
457	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
458	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
459	#13133182	C₂³	1	4	yes	complemented
460	#13133182	C₂³	1	2	yes	complemented
461	#13133182	C₂³	1	4	yes	complemented
462	#13133182	C₂³	1	4	yes	complemented
463	#13133182	C₂³	1	4	yes	complemented
464	C₄×D₂₁₂	C₂³	1	4	yes	—
465	C₄×D₂₁₂	C₂³	1	4	yes	—
466	C₄×D₂₁₂	C₂³	1	4	yes	complemented
467	C₄×D₂₁₂	C₂³	1	4	yes	complemented
468	C₄×D₂₁₂	C₂³	1	4	yes	complemented
469	C₄×D₂₁₂	C₂³	1	2	yes	complemented
470	C₄×D₂₁₂	C₂³	1	4	yes	complemented
471	D₄×Dic₅₃	C₂³	1	4	yes	—
472	D₄×Dic₅₃	C₂³	1	4	yes	—
473	D₄×Dic₅₃	C₂³	1	4	yes	—
474	D₄×Dic₅₃	C₂³	1	4	yes	—
475	D₄×Dic₅₃	C₂³	1	2	yes	complemented
476	D₄×Dic₅₃	C₂³	1	4	yes	complemented
477	D₄×Dic₅₃	C₂³	1	4	yes	complemented
478	D₄×Dic₅₃	C₂³	1	4	yes	complemented
479	#13133179	C₂³	1	4	yes	—
480	#13133179	C₂³	1	4	yes	—
481	#13133179	C₂³	1	4	yes	—
482	#13133179	C₂³	1	4	yes	—
483	#13133179	C₂³	1	4	yes	complemented
484	#13133179	C₂³	1	2	yes	complemented
485	#13133179	C₂³	1	4	yes	complemented
486	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
487	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
488	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
489	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
490	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
491	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
492	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
493	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
494	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
495	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
496	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
497	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
498	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
499	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
500	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
501	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
502	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
503	#13133177	C₂³	1	4	yes	—
504	#13133177	C₂³	1	4	yes	—
505	#13133177	C₂³	1	4	yes	—
506	#13133177	C₂³	1	4	yes	—
507	#13133177	C₂³	1	4	yes	—
508	#13133177	C₂³	1	4	yes	—
509	#13133177	C₂³	1	4	yes	—
510	#13133177	C₂³	1	4	yes	—
511	#13133177	C₂³	1	4	yes	—
512	#13133177	C₂³	1	4	yes	—
513	#13133177	C₂³	1	4	yes	complemented
514	#13133177	C₂³	1	4	yes	complemented
515	#13133177	C₂³	1	4	yes	complemented
516	#13133177	C₂³	1	4	yes	complemented
517	#13133177	C₂³	1	4	yes	complemented
518	#13133177	C₂³	1	4	yes	complemented
519	#13133177	C₂³	1	4	yes	complemented
520	#13133177	C₂³	1	4	yes	complemented
521	#13133177	C₂³	1	4	yes	complemented
522	#13133177	C₂³	1	4	yes	complemented
523	#13133177	C₂³	1	4	yes	complemented
524	#13133176	C₂³	1	2	yes	complemented
525	#13133175	C₂³	1	4	yes	—
526	#13133175	C₂³	1	4	yes	—
527	#13133175	C₂³	1	4	yes	complemented
528	#13133175	C₂³	1	4	yes	complemented
529	#13133175	C₂³	1	4	yes	complemented
530	#13133174	C₂³	1	4	yes	—
531	#13133174	C₂³	1	4	yes	—
532	#13133174	C₂³	1	4	yes	complemented
533	#13133174	C₂³	1	4	yes	complemented
534	#13133174	C₂³	1	4	yes	complemented
535	#13133174	C₂³	1	4	yes	complemented
536	#13133174	C₂³	1	4	yes	complemented
537	#13133173	C₂³	1	4	yes	—
538	#13133173	C₂³	1	4	yes	complemented
539	#13133173	C₂³	1	4	yes	complemented
540	#13133173	C₂³	1	4	yes	complemented
541	#13133173	C₂³	1	4	yes	complemented
542	#13133173	C₂³	1	4	yes	complemented
543	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
544	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
545	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
546	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
547	C₂×#11719919	C₂³	1	1	yes	characteristic
548	C₂×#11719919	C₂³	1	1	yes	characteristic
549	C₂×#11719919	C₂³	1	4	yes	complemented
550	C₂×#11719919	C₂³	1	2	yes	complemented
551	C₂×#11719919	C₂³	1	2	yes	complemented
552	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
553	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
554	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
555	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
556	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
557	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
558	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
559	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
560	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
561	C₂×#11719921	C₂³	1	2	yes	—
562	C₂×#11719921	C₂³	1	2	yes	—
563	C₂×#11719921	C₂³	1	4	yes	—
564	C₂×#11719921	C₂³	1	4	yes	—
565	C₂×#11719921	C₂³	1	2	yes	—
566	C₂×#11719921	C₂³	1	2	yes	—
567	C₂×#11719921	C₂³	1	1	yes	characteristic
568	C₂×#11719921	C₂³	1	1	yes	characteristic
569	C₂×#11719921	C₂³	1	1	yes	characteristic
570	C₂×#11719921	C₂³	1	1	yes	characteristic
571	C₂×#11719921	C₂³	1	1	yes	characteristic
572	C₂×#11719921	C₂³	1	1	yes	characteristic
573	C₂×#11719921	C₂³	1	1	yes	characteristic
574	C₂×#11719921	C₂³	1	1	yes	characteristic
575	C₂×#11719921	C₂³	1	2	yes	—
576	C₂×#11719921	C₂³	1	2	yes	—
577	C₂×#11719921	C₂³	1	2	yes	—
578	C₂×#11719921	C₂³	1	2	yes	—
579	C₂×#11719921	C₂³	1	4	yes	complemented
580	C₂×#11719921	C₂³	1	2	yes	complemented
581	C₂×#11719921	C₂³	1	2	yes	complemented
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	—
588	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
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	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
594	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
595	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
596	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
597	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
598	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
599	C₄²×D₅₃	C₂³	1	4	yes	complemented
600	C₄²×D₅₃	C₂³	1	4	yes	complemented
601	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
602	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
603	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
604	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
605	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
606	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
607	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
608	#126×C₅₃	C₂³	1	4	yes	complemented
609	#126×C₅₃	C₂³	1	4	yes	complemented
610	#126×C₅₃	C₂³	1	4	yes	complemented
611	#125×C₅₃	C₂³	1	2	yes	complemented
612	#125×C₅₃	C₂³	1	4	yes	complemented
613	#124×C₅₃	C₂³	1	2	yes	complemented
614	#124×C₅₃	C₂³	1	4	yes	complemented
615	#123×C₅₃	C₂³	1	4	yes	—
616	#123×C₅₃	C₂³	1	4	yes	—
617	#123×C₅₃	C₂³	1	4	yes	complemented
618	#123×C₅₃	C₂³	1	4	yes	complemented
619	#123×C₅₃	C₂³	1	4	yes	complemented
620	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
621	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
622	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
623	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
624	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
625	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
626	#121×C₅₃	C₂³	1	2	yes	—
627	#121×C₅₃	C₂³	1	2	yes	—
628	#121×C₅₃	C₂³	1	4	yes	—
629	#121×C₅₃	C₂³	1	4	yes	—
630	#121×C₅₃	C₂³	1	2	yes	complemented
631	#121×C₅₃	C₂³	1	4	yes	complemented
632	#121×C₅₃	C₂³	1	2	yes	complemented
633	#121×C₅₃	C₂³	1	2	yes	complemented
634	#120×C₅₃	C₂³	1	4	yes	—
635	#120×C₅₃	C₂³	1	4	yes	—
636	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
637	C₄×D₄×C₅₃	C₂³	1	2	yes	—
638	C₄×D₄×C₅₃	C₂³	1	2	yes	—
639	C₄×D₄×C₅₃	C₂³	1	2	yes	—
640	C₄×D₄×C₅₃	C₂³	1	2	yes	—
641	C₄×D₄×C₅₃	C₂³	1	4	yes	—
642	C₄×D₄×C₅₃	C₂³	1	4	yes	—
643	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
644	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
645	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
646	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
647	#117×C₅₃	C₂³	1	4	yes	complemented
648	#117×C₅₃	C₂³	1	2	yes	complemented
649	#117×C₅₃	C₂³	1	4	yes	complemented
650	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
651	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
652	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
653	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
654	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
655	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
656	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
657	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
658	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
659	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
660	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
661	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
662	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
663	C₂³×D₅₃	—	2	4	no	—
664	C₂³×D₅₃	—	2	4	no	—
665	C₂³×D₅₃	—	8	1	no	—
666	C₂³×D₅₃	—	8	1	no	—
667	C₂³×D₅₃	—	8	1	no	—
668	C₂³×D₅₃	—	8	1	no	—
669	C₂³×D₅₃	C₂⁴	1	4	yes	—
670	C₂³×D₅₃	C₂⁴	1	2	yes	—
671	C₂³×D₅₃	C₂⁴	1	2	yes	—
672	C₂³×D₅₃	C₂⁴	1	4	yes	—
673	C₂³×D₅₃	C₂⁴	1	2	yes	—
674	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
675	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
676	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
677	#41×C₅₃	—	8	2	no	—
678	C₂×Q₈×C₅₃	—	8	1	no	—
679	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
680	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
681	C₂×D₄×C₅₃	—	2	4	no	—
682	C₂×D₄×C₅₃	—	2	8	no	—
683	C₂×D₄×C₅₃	—	8	1	no	—
684	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
685	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
686	C₂×D₄×C₅₃	C₂⁴	1	2	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	4	yes	—
691	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
692	C₂²×C₄×C₅₃	—	8	1	no	—
693	C₂²×C₄×C₅₃	—	8	1	no	—
694	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
695	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
696	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
697	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
698	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
699	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
700	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
701	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
702	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
703	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
704	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
705	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
706	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
707	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
708	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
709	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
710	C₂×C₂²⋊D₅₃	—	2	8	no	—
711	C₂×C₂²⋊D₅₃	—	2	16	no	—
712	C₂×C₂²⋊D₅₃	—	2	4	no	—
713	C₂×C₂²⋊D₅₃	—	8	2	no	—
714	C₂×C₂²⋊D₅₃	—	8	2	no	—
715	C₂×C₂²⋊D₅₃	#41	1	8	yes	complemented
716	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
717	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
718	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
719	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
720	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
721	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
722	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
723	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
724	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
725	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
726	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
727	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
728	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
729	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
730	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
731	C₂²×Dic₅₃	—	8	1	no	—
732	C₂²×Dic₅₃	—	8	1	no	—
733	C₂²×Dic₅₃	—	8	2	no	—
734	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
735	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
736	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
737	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
738	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
739	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
740	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
741	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
742	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
743	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
744	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
745	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
746	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
747	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
748	Q₈×D₅₃	—	8	2	no	—
749	#11719947	—	2	16	no	—
750	#11719947	—	2	16	no	—
751	#11719947	—	8	4	no	—
752	D₄×D₅₃	—	2	16	no	—
753	D₄×D₅₃	—	2	16	no	—
754	D₄×D₅₃	—	2	16	no	—
755	D₄×D₅₃	—	2	16	no	—
756	D₄×D₅₃	—	8	4	no	—
757	D₄×D₅₃	—	8	4	no	—
758	D₄×D₅₃	—	8	2	no	—
759	#11719945	—	2	16	no	—
760	#11719945	—	8	2	no	—
761	#11719945	—	8	4	no	—
762	#11719945	—	8	4	no	—
763	C₂×D₂₁₂	—	2	4	no	—
764	C₂×D₂₁₂	—	8	2	no	—
765	C₂×D₂₁₂	—	8	2	no	—
766	C₂×D₂₁₂	—	8	1	no	—
767	C₂×D₂₁₂	C₂⁴	1	4	yes	—
768	C₂×D₂₁₂	C₂⁴	1	4	yes	—
769	C₂×D₂₁₂	C₂⁴	1	4	yes	—
770	C₂×D₂₁₂	C₂⁴	1	4	yes	—
771	C₂×D₂₁₂	C₂⁴	1	2	yes	—
772	C₂×D₂₁₂	C₂⁴	1	4	yes	—
773	C₂×D₂₁₂	C₂⁴	1	4	yes	—
774	C₂×D₂₁₂	C₂⁴	1	2	yes	—
775	C₂×C₄×D₅₃	—	2	4	no	—
776	C₂×C₄×D₅₃	—	8	1	no	—
777	C₂×C₄×D₅₃	—	8	1	no	—
778	C₂×C₄×D₅₃	—	8	1	no	—
779	C₂×C₄×D₅₃	—	8	1	no	—
780	C₂×C₄×D₅₃	—	8	4	no	—
781	C₂×C₄×D₅₃	—	8	2	no	—
782	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
783	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
784	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
785	C₂×C₄×D₅₃	C₂⁴	1	4	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	2	yes	—
790	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
791	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
792	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
793	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
794	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
795	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
796	C₂×Dic₁₀₆	—	8	1	no	—
797	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
798	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
799	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
800	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
801	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
802	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
803	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
804	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
805	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
806	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
807	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
808	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
809	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
810	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
811	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
812	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
813	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
814	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
815	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
816	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
817	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
818	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
819	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
820	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
821	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
822	C₂²⋊C₄×C₅₃	C₂⁴	1	4	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	C₄²×C₅₃	C₂⁴	1	2	yes	—
829	C₄²×C₅₃	C₂⁴	1	2	yes	—
830	C₄²×C₅₃	C₂⁴	1	4	yes	—
831	C₄²×C₅₃	C₂⁴	1	4	yes	—
832	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
833	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
834	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
835	C₂²⋊Dic₅₃	C₂⁴	1	4	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	4	yes	—
842	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
843	#11719921	C₂⁴	1	4	yes	—
844	#11719921	C₂⁴	1	2	yes	—
845	#11719921	C₂⁴	1	4	yes	—
846	#11719921	C₂⁴	1	2	yes	—
847	#11719921	C₂⁴	1	4	yes	—
848	#11719921	C₂⁴	1	4	yes	—
849	#11719921	C₂⁴	1	4	yes	—
850	#11719921	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	2	yes	—
860	#11719921	C₂⁴	1	2	yes	—
861	#11719921	C₂⁴	1	2	yes	—
862	#11719921	C₂⁴	1	2	yes	—
863	#11719921	C₂⁴	1	2	yes	—
864	#11719921	C₂⁴	1	2	yes	—
865	#11719921	C₂⁴	1	2	yes	—
866	#11719921	C₂⁴	1	2	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	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
877	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
878	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
879	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
880	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
881	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
882	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
883	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
884	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
885	#11719919	C₂⁴	1	4	yes	—
886	#11719919	C₂⁴	1	4	yes	—
887	#11719919	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	2	yes	—
894	#11719919	C₂⁴	1	2	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	4	yes	—
905	C₄×Dic₅₃	C₂⁴	1	4	yes	—
906	C₄×Dic₅₃	C₂⁴	1	4	yes	—
907	C₄×Dic₅₃	C₂⁴	1	4	yes	—
908	C₄×Dic₅₃	C₂⁴	1	4	yes	—
909	C₄×Dic₅₃	C₂⁴	1	4	yes	—
910	C₄×Dic₅₃	C₂⁴	1	2	yes	—
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	C₂³×C₅₃	—	2	2	no	—
917	C₂³×C₅₃	—	2	4	no	—
918	C₂³×C₅₃	—	4	1	no	—
919	C₂³×C₅₃	—	4	1	no	—
920	C₂³×C₅₃	—	4	1	no	—
921	C₂³×C₅₃	—	4	1	no	—
922	C₂³×C₅₃	—	4	2	no	—
923	C₂³×C₅₃	—	4	2	no	—
924	C₂³×C₅₃	C₂×#41	1	4	yes	—
925	C₂³×C₅₃	C₂⁵	1	4	yes	—
926	C₂³×C₅₃	C₂⁵	1	2	yes	—
927	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
928	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
929	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
930	C₂²×D₅₃	—	2	2	no	—
931	C₂²×D₅₃	—	2	2	no	—
932	C₂²×D₅₃	—	2	4	no	—
933	C₂²×D₅₃	—	2	4	no	—
934	C₂²×D₅₃	—	2	4	no	—
935	C₂²×D₅₃	—	2	8	no	—
936	C₂²×D₅₃	—	2	8	no	—
937	C₂²×D₅₃	—	4	1	no	—
938	C₂²×D₅₃	—	4	1	no	—
939	C₂²×D₅₃	—	4	1	no	—
940	C₂²×D₅₃	—	4	1	no	—
941	C₂²×D₅₃	—	4	1	no	—
942	C₂²×D₅₃	—	4	1	no	—
943	C₂²×D₅₃	—	4	2	no	—
944	C₂²×D₅₃	—	4	4	no	—
945	C₂²×D₅₃	—	4	2	no	—
946	C₂²×D₅₃	—	4	2	no	—
947	C₂²×D₅₃	—	4	2	no	—
948	C₂²×D₅₃	—	4	4	no	—
949	C₂²×D₅₃	—	4	4	no	—
950	C₂²×D₅₃	—	4	4	no	—
951	C₂²×D₅₃	—	4	2	no	—
952	C₂²×D₅₃	—	4	2	no	—
953	C₂²×D₅₃	—	8	8	no	—
954	C₂²×D₅₃	—	8	8	no	—
955	C₂²×D₅₃	C₂×#41	1	4	yes	—
956	C₂²×D₅₃	C₂⁵	1	4	yes	—
957	C₂²×D₅₃	C₂⁵	1	2	yes	—
958	C₂²×D₅₃	C₂⁵	1	2	yes	—
959	C₂²×D₅₃	C₂⁵	1	2	yes	—
960	Q₈×C₅₃	—	4	2	no	—
961	Q₈×C₅₃	—	4	2	no	—
962	D₄×C₅₃	—	2	4	no	—
963	D₄×C₅₃	—	2	4	no	—
964	D₄×C₅₃	—	2	8	no	—
965	D₄×C₅₃	—	2	8	no	—
966	D₄×C₅₃	—	4	4	no	—
967	D₄×C₅₃	—	4	2	no	—
968	D₄×C₅₃	—	4	4	no	—
969	D₄×C₅₃	—	4	2	no	—
970	C₂×C₄×C₅₃	—	2	2	no	—
971	C₂×C₄×C₅₃	—	2	4	no	—
972	C₂×C₄×C₅₃	—	4	1	no	—
973	C₂×C₄×C₅₃	—	4	1	no	—
974	C₂×C₄×C₅₃	—	4	2	no	—
975	C₂×C₄×C₅₃	—	4	4	no	—
976	C₂×C₄×C₅₃	—	4	1	no	—
977	C₂×C₄×C₅₃	—	4	1	no	—
978	C₂×C₄×C₅₃	—	4	1	no	—
979	C₂×C₄×C₅₃	—	4	2	no	—
980	C₂×C₄×C₅₃	—	4	2	no	—
981	C₂×C₄×C₅₃	—	4	4	no	—
982	C₂×C₄×C₅₃	—	4	1	no	—
983	C₂×C₄×C₅₃	—	4	1	no	—
984	C₂×C₄×C₅₃	—	4	1	no	—
985	C₂×C₄×C₅₃	—	4	2	no	—
986	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
987	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
988	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
989	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
990	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
991	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
992	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
993	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
994	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
995	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
996	C₂²⋊D₅₃	—	2	8	no	—
997	C₂²⋊D₅₃	—	2	8	no	—
998	C₂²⋊D₅₃	—	2	8	no	—
999	C₂²⋊D₅₃	—	2	8	no	—
1000	C₂²⋊D₅₃	—	2	8	no	—
1001	C₂²⋊D₅₃	—	4	4	no	—
1002	C₂²⋊D₅₃	—	4	4	no	—
1003	C₂²⋊D₅₃	—	4	4	no	—
1004	C₂²⋊D₅₃	—	4	4	no	—
1005	C₂²⋊D₅₃	—	4	4	no	—
1006	C₂²⋊D₅₃	—	4	4	no	—
1007	C₂²⋊D₅₃	—	4	4	no	—
1008	C₂²⋊D₅₃	—	4	4	no	—
1009	C₂²⋊D₅₃	C₂×#41	1	8	yes	—
1010	C₂²⋊D₅₃	C₂×#41	1	8	yes	—
1011	C₂×Dic₅₃	—	2	4	no	—
1012	C₂×Dic₅₃	—	2	8	no	—
1013	C₂×Dic₅₃	—	4	2	no	—
1014	C₂×Dic₅₃	—	4	1	no	—
1015	C₂×Dic₅₃	—	4	1	no	—
1016	C₂×Dic₅₃	—	4	4	no	—
1017	C₂×Dic₅₃	—	4	1	no	—
1018	C₂×Dic₅₃	—	4	2	no	—
1019	C₂×Dic₅₃	—	4	4	no	—
1020	C₂×Dic₅₃	—	4	4	no	—
1021	C₂×Dic₅₃	—	4	2	no	—
1022	C₂×Dic₅₃	—	4	1	no	—
1023	C₂×Dic₅₃	—	4	2	no	—
1024	C₂×Dic₅₃	C₂×#41	1	4	yes	—
1025	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1026	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1027	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1028	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1029	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1030	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1031	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1032	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1033	D₂₁₂	—	2	8	no	—
1034	D₂₁₂	—	2	8	no	—
1035	D₂₁₂	—	4	2	no	—
1036	D₂₁₂	—	4	4	no	—
1037	D₂₁₂	—	4	4	no	—
1038	D₂₁₂	—	4	4	no	—
1039	D₂₁₂	—	4	4	no	—
1040	D₂₁₂	—	4	2	no	—
1041	C₄×D₅₃	—	2	8	no	—
1042	C₄×D₅₃	—	2	8	no	—
1043	C₄×D₅₃	—	2	8	no	—
1044	C₄×D₅₃	—	4	4	no	—
1045	C₄×D₅₃	—	4	4	no	—
1046	C₄×D₅₃	—	4	4	no	—
1047	C₄×D₅₃	—	4	4	no	—
1048	C₄×D₅₃	—	4	4	no	—
1049	C₄×D₅₃	—	4	2	no	—
1050	C₄×D₅₃	—	4	4	no	—
1051	C₄×D₅₃	—	4	4	no	—
1052	C₄×D₅₃	—	4	2	no	—
1053	C₄×D₅₃	—	4	4	no	—
1054	C₄×D₅₃	—	4	4	no	—
1055	Dic₁₀₆	—	2	8	no	—
1056	Dic₁₀₆	—	4	2	no	—
1057	Dic₁₀₆	—	4	2	no	—
1058	Dic₁₀₆	—	4	4	no	—
1059	Dic₁₀₆	—	4	4	no	—
1060	#62846	—	53	1	no	maximal, Sylow
1061	C₂²×C₅₃	—	2	1	no	—
1062	C₂²×C₅₃	—	2	1	no	—
1063	C₂²×C₅₃	—	2	1	no	—
1064	C₂²×C₅₃	—	2	1	no	—
1065	C₂²×C₅₃	—	2	1	no	—
1066	C₂²×C₅₃	—	2	1	no	—
1067	C₂²×C₅₃	—	2	4	no	—
1068	C₂²×C₅₃	—	2	2	no	—
1069	C₂²×C₅₃	—	2	4	no	—
1070	C₂²×C₅₃	—	2	2	no	—
1071	C₂²×C₅₃	—	2	4	no	—
1072	C₂²×C₅₃	—	2	2	no	—
1073	C₂²×C₅₃	—	4	4	no	—
1074	C₂²×C₅₃	—	4	4	no	—
1075	C₂²×C₅₃	—	8	4	no	—
1076	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1077	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1078	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1079	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1080	C₂×D₅₃	—	2	2	no	—
1081	C₂×D₅₃	—	2	2	no	—
1082	C₂×D₅₃	—	2	2	no	—
1083	C₂×D₅₃	—	2	4	no	—
1084	C₂×D₅₃	—	2	2	no	—
1085	C₂×D₅₃	—	2	4	no	—
1086	C₂×D₅₃	—	2	2	no	—
1087	C₂×D₅₃	—	2	2	no	—
1088	C₂×D₅₃	—	2	4	no	—
1089	C₂×D₅₃	—	2	2	no	—
1090	C₂×D₅₃	—	2	2	no	—
1091	C₂×D₅₃	—	4	4	no	—
1092	C₂×D₅₃	—	4	4	no	—
1093	C₂×D₅₃	—	4	4	no	—
1094	C₂×D₅₃	—	8	8	no	—
1095	C₂×D₅₃	—	8	8	no	—
1096	C₂×D₅₃	—	8	4	no	—
1097	C₂×D₅₃	—	8	4	no	—
1098	C₂×D₅₃	—	8	4	no	—
1099	C₂×D₅₃	C₂²×#41	1	4	yes	—
1100	C₄×C₅₃	—	2	4	no	—
1101	C₄×C₅₃	—	2	2	no	—
1102	C₄×C₅₃	—	2	1	no	—
1103	C₄×C₅₃	—	2	1	no	—
1104	C₄×C₅₃	—	2	4	no	—
1105	C₄×C₅₃	—	2	4	no	—
1106	C₄×C₅₃	—	2	2	no	—
1107	C₄×C₅₃	—	2	2	no	—
1108	C₄×C₅₃	—	2	1	no	—
1109	C₄×C₅₃	—	2	1	no	—
1110	Dic₅₃	—	2	4	no	—
1111	Dic₅₃	—	2	4	no	—
1112	Dic₅₃	—	2	2	no	—
1113	Dic₅₃	—	2	2	no	—
1114	Dic₅₃	—	2	4	no	—
1115	Dic₅₃	—	2	2	no	—
1116	Dic₅₃	—	2	2	no	—
1117	Dic₅₃	C₂²×#41	1	4	yes	—
1118	#3521	—	53	4	no	—
1119	#3521	—	53	4	no	—
1120	#3519	—	53	4	no	—
1121	#3519	—	53	4	no	—
1122	#3514	—	53	4	no	—
1123	#3514	—	53	4	no	—
1124	#3513	—	53	4	no	—
1125	#3513	—	53	4	no	—
1126	#3506	—	53	2	no	—
1127	#3505	—	53	2	no	—
1128	#3505	—	53	1	no	—
1129	#3505	D₅₃	1	1	yes	characteristic, complemented
1130	#3501	—	53	1	no	—
1131	#3496	—	53	1	no	—
1132	#3493	—	53	2	no	—
1133	#3490	—	53	2	no	—
1134	#3490	—	53	2	no	—
1135	#3484	—	53	2	no	—
1136	#3460	—	53	2	no	—
1137	#3459	—	53	2	no	—
1138	#3459	—	53	2	no	—
1139	#3455	—	53	2	no	—
1140	C₂×#538	—	53	2	no	—
1141	C₂×#538	—	53	1	no	—
1142	C₂×#538	—	53	1	no	—
1143	C₄×H(5,𝔽₂)	—	53	2	no	—
1144	C₂×#518	—	53	1	no	—
1145	C₂×C₅₃	—	2	2	no	—
1146	C₂×C₅₃	—	2	2	no	—
1147	C₂×C₅₃	—	2	2	no	—
1148	C₂×C₅₃	—	4	2	no	—
1149	C₂×C₅₃	—	4	4	no	—
1150	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1151	C₂×C₅₃	H(7,𝔽₂)	1	1	yes	characteristic
1152	C₂×C₅₃	H(7,𝔽₂)	1	1	yes	characteristic
1153	D₅₃	—	2	4	no	—
1154	D₅₃	—	4	2	no	—
1155	D₅₃	—	4	2	no	—
1156	D₅₃	—	4	4	no	—
1157	C₂×H(5,𝔽₂)	—	53	2	no	—
1158	C₂³×D₄	—	53	1	no	—
1159	#559	—	53	4	no	—
1160	#559	—	53	4	no	—
1161	#556	—	53	4	no	—
1162	#556	—	53	4	no	—
1163	#556	—	53	4	no	—
1164	#555	—	53	4	no	—
1165	#555	—	53	4	no	—
1166	#555	—	53	4	no	—
1167	#554	—	53	4	no	—
1168	#554	—	53	2	no	—
1169	#554	—	53	2	no	—
1170	#554	—	53	4	no	—
1171	#553	—	53	4	no	—
1172	#553	—	53	4	no	—
1173	#553	—	53	4	no	—
1174	#553	—	53	4	no	—
1175	#553	—	53	4	no	—
1176	#553	—	53	4	no	—
1177	#553	—	53	2	no	—
1178	#553	—	53	4	no	—
1179	#553	—	53	4	no	—
1180	#553	C₂×D₅₃	1	2	yes	complemented
1181	#553	C₂×D₅₃	1	4	yes	complemented
1182	#552	—	53	4	no	—
1183	#552	—	53	4	no	—
1184	#552	—	53	2	no	—
1185	#552	—	53	4	no	—
1186	#552	C₂×D₅₃	1	2	yes	complemented
1187	#551	—	53	4	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	4	no	—
1197	#551	—	53	4	no	—
1198	#551	C₂×D₅₃	1	4	yes	complemented
1199	#550	—	53	4	no	—
1200	D₄×Q₈	—	53	2	no	—
1201	D₄×Q₈	—	53	2	no	—
1202	#548	—	53	4	no	—
1203	#548	—	53	2	no	—
1204	#548	C₂×D₅₃	1	2	yes	complemented
1205	#547	—	53	4	no	—
1206	#547	—	53	2	no	—
1207	#547	—	53	2	no	—
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	2	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	—	53	4	no	—
1224	#546	C₂×D₅₃	1	2	yes	complemented
1225	D₄²	—	53	2	no	—
1226	D₄²	—	53	4	no	—
1227	D₄²	—	53	4	no	—
1228	D₄²	—	53	2	no	—
1229	D₄²	—	53	4	no	—
1230	D₄²	—	53	4	no	—
1231	#544	—	53	2	no	—
1232	#543	—	53	2	no	—
1233	#543	—	53	2	no	—
1234	#542	—	53	4	no	—
1235	#542	—	53	4	no	—
1236	#542	—	53	4	no	—
1237	#542	—	53	4	no	—
1238	#541	—	53	4	no	—
1239	#540	—	53	4	no	—
1240	#540	—	53	4	no	—
1241	#540	—	53	4	no	—
1242	#539	—	53	4	no	—
1243	#539	—	53	4	no	—
1244	#539	—	53	4	no	—
1245	#539	—	53	4	no	—
1246	#539	—	53	4	no	—
1247	#539	—	53	2	no	—
1248	#539	C₂×D₅₃	1	2	yes	complemented
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	2	no	—
1255	#538	—	53	2	no	—
1256	#538	—	53	2	no	—
1257	#538	—	53	2	no	—
1258	#538	—	53	4	no	—
1259	#538	—	53	4	no	—
1260	#538	—	53	2	no	—
1261	#538	—	53	2	no	—
1262	#538	—	53	2	no	—
1263	#538	—	53	2	no	—
1264	#538	—	53	4	no	—
1265	#538	—	53	4	no	—
1266	#538	—	53	4	no	—
1267	#538	—	53	4	no	—
1268	#538	—	53	4	no	—
1269	#538	—	53	4	no	—
1270	#538	—	53	4	no	—
1271	#538	—	53	4	no	—
1272	#538	—	53	2	no	—
1273	#538	C₂×D₅₃	1	2	yes	complemented
1274	#537	—	53	2	no	—
1275	#535	—	53	4	no	—
1276	#534	—	53	2	no	—
1277	#534	—	53	2	no	—
1278	#534	—	53	4	no	—
1279	#534	—	53	2	no	—
1280	#534	C₂×D₅₃	1	2	yes	complemented
1281	#533	—	53	2	no	—
1282	#532	—	53	4	no	—
1283	#532	—	53	2	no	—
1284	#532	—	53	4	no	—
1285	#529	—	53	4	no	—
1286	#529	—	53	4	no	—
1287	#529	—	53	4	no	—
1288	#529	—	53	4	no	—
1289	#529	—	53	4	no	—
1290	#529	—	53	4	no	—
1291	#529	—	53	4	no	—
1292	#529	—	53	4	no	—
1293	#529	—	53	4	no	—
1294	#529	—	53	4	no	—
1295	#529	—	53	4	no	—
1296	#529	—	53	2	no	—
1297	#529	C₂×D₅₃	1	2	yes	complemented
1298	C₂×#126	—	53	4	no	—
1299	C₂×#126	—	53	2	no	—
1300	C₂×#126	—	53	2	no	—
1301	C₂×#124	—	53	2	no	—
1302	C₂×#124	—	53	4	no	—
1303	C₂×#124	—	53	2	no	—
1304	#525	—	53	2	no	—
1305	#525	—	53	4	no	—
1306	#525	—	53	4	no	—
1307	#525	—	53	4	no	—
1308	#525	—	53	4	no	—
1309	#525	—	53	4	no	—
1310	#525	—	53	4	no	—
1311	#525	—	53	4	no	—
1312	#525	—	53	4	no	—
1313	#525	C₂×D₅₃	1	2	yes	complemented
1314	C₂×#123	—	53	4	no	—
1315	C₂×#123	—	53	2	no	—
1316	C₂×#123	—	53	2	no	—
1317	C₂×C₂²⋊Q₈	—	53	1	no	—
1318	C₂×C₂²⋊Q₈	—	53	2	no	—
1319	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1320	C₂×#121	—	53	2	no	—
1321	C₂×#121	—	53	1	no	—
1322	C₂×#121	—	53	2	no	—
1323	C₂×#121	—	53	4	no	—
1324	C₂×#121	—	53	2	no	—
1325	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1326	C₂×#120	—	53	2	no	—
1327	C₂×#120	—	53	4	no	—
1328	C₂×#120	—	53	2	no	—
1329	#520	—	53	4	no	—
1330	#520	—	53	4	no	—
1331	#520	—	53	4	no	—
1332	#518	—	53	4	no	—
1333	#518	—	53	4	no	—
1334	#518	—	53	4	no	—
1335	#518	—	53	4	no	—
1336	#518	—	53	4	no	—
1337	#518	—	53	4	no	—
1338	#518	—	53	2	no	—
1339	#518	—	53	2	no	—
1340	#518	—	53	4	no	—
1341	#518	C₂×D₅₃	1	2	yes	complemented
1342	C₄×#41	—	53	4	no	—
1343	C₄×#41	—	53	4	no	—
1344	C₄×#41	—	53	4	no	—
1345	C₂×C₄×D₄	—	53	1	no	—
1346	C₂×C₄×D₄	—	53	2	no	—
1347	C₂×C₄×D₄	—	53	1	no	—
1348	C₂×C₄×D₄	—	53	1	no	—
1349	C₂×C₄×D₄	—	53	4	no	—
1350	C₂×C₄×D₄	—	53	4	no	—
1351	C₂×C₄×D₄	—	53	1	no	—
1352	C₂×C₄×D₄	—	53	1	no	—
1353	C₂×C₄×D₄	—	53	1	no	—
1354	C₂×C₄×D₄	—	53	2	no	—
1355	C₂×C₄×D₄	—	53	4	no	—
1356	C₂×C₄×D₄	—	53	1	no	—
1357	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1358	C₂×#117	—	53	1	no	—
1359	C₂×#117	—	53	1	no	—
1360	C₂²×C₂²⋊C₄	—	53	1	no	—
1361	C₂²×C₂²⋊C₄	—	53	1	no	—
1362	C₂²×C₂²⋊C₄	—	53	1	no	—
1363	C₂²×C₂²⋊C₄	—	53	1	no	—
1364	C₅₃	#62846	1	1	yes	characteristic, complemented, Sylow
1365	C₂⁵	—	53	1	no	—
1366	C₂⁵	—	53	1	no	—
1367	H(5,𝔽₂)	—	106	16	no	—
1368	C₂×#41	—	53	4	no	—
1369	C₂×#41	—	53	4	no	—
1370	C₂×#41	—	53	4	no	—
1371	C₂×#41	—	53	4	no	—
1372	C₂×#41	—	53	4	no	—
1373	C₂×#41	—	53	2	no	—
1374	C₂×#41	—	53	4	no	—
1375	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1376	C₂²×Q₈	—	53	2	no	—
1377	C₂²×Q₈	—	53	1	no	—
1378	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1379	C₂²×D₄	—	53	1	no	—
1380	C₂²×D₄	—	53	1	no	—
1381	C₂²×D₄	—	53	2	no	—
1382	C₂²×D₄	—	53	4	no	—
1383	C₂²×D₄	—	53	2	no	—
1384	C₂²×D₄	—	53	2	no	—
1385	C₂²×D₄	—	53	4	no	—
1386	C₂²×D₄	—	53	4	no	—
1387	C₂²×D₄	—	53	4	no	—
1388	C₂²×D₄	—	53	4	no	—
1389	C₂²×D₄	—	53	4	no	—
1390	C₂²×D₄	—	53	4	no	—
1391	C₂²×D₄	—	53	2	no	—
1392	C₂²×D₄	—	53	1	no	—
1393	C₂²×D₄	—	53	2	no	—
1394	C₂²×D₄	—	53	2	no	—
1395	C₂²×D₄	—	53	1	no	—
1396	C₂²×D₄	—	106	8	no	—
1397	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1398	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1399	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1400	C₂³×C₄	—	53	1	no	—
1401	C₂³×C₄	—	53	1	no	—
1402	C₂³×C₄	—	53	2	no	—
1403	C₂³×C₄	—	53	1	no	—
1404	C₂³×C₄	—	53	1	no	—
1405	C₂³×C₄	—	53	1	no	—
1406	C₂³×C₄	—	53	1	no	—
1407	C₂³×C₄	—	53	1	no	—
1408	C₂³×C₄	—	53	2	no	—
1409	C₂³×C₄	—	53	4	no	—
1410	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1411	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1412	C₄⋊Q₈	—	53	4	no	—
1413	C₄⋊Q₈	—	53	2	no	—
1414	C₄⋊Q₈	—	53	2	no	—
1415	C₄⋊Q₈	—	53	4	no	—
1416	C₄⋊Q₈	—	53	2	no	—
1417	#127	—	53	4	no	—
1418	#127	—	53	4	no	—
1419	#127	—	53	2	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	—	53	4	no	—
1437	#126	—	53	4	no	—
1438	#126	—	53	4	no	—
1439	#126	—	53	4	no	—
1440	#126	—	53	4	no	—
1441	#126	C₂²×D₅₃	1	4	yes	complemented
1442	#126	C₂²×D₅₃	1	4	yes	complemented
1443	#126	C₂²×D₅₃	1	4	yes	complemented
1444	#125	—	53	4	no	—
1445	#125	—	53	4	no	—
1446	#125	—	53	4	no	—
1447	#125	—	53	4	no	—
1448	#125	—	53	4	no	—
1449	#125	—	53	4	no	—
1450	#125	—	53	4	no	—
1451	#125	—	53	2	no	—
1452	#125	C₂²×D₅₃	1	4	yes	complemented
1453	#125	C₂²×D₅₃	1	2	yes	complemented
1454	#124	—	53	4	no	—
1455	#124	—	53	4	no	—
1456	#124	—	53	4	no	—
1457	#124	—	53	4	no	—
1458	#124	—	53	4	no	—
1459	#124	—	53	4	no	—
1460	#124	—	53	4	no	—
1461	#124	—	53	4	no	—
1462	#124	—	53	4	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	2	no	—
1473	#124	—	53	4	no	—
1474	#124	C₂²×D₅₃	1	4	yes	complemented
1475	#124	C₂²×D₅₃	1	2	yes	complemented
1476	#123	—	53	4	no	—
1477	#123	—	53	4	no	—
1478	#123	—	53	4	no	—
1479	#123	—	53	4	no	—
1480	#123	—	53	4	no	—
1481	#123	—	53	4	no	—
1482	#123	—	53	4	no	—
1483	#123	—	53	4	no	—
1484	#123	—	53	4	no	—
1485	#123	—	53	4	no	—
1486	#123	—	53	4	no	—
1487	#123	—	53	4	no	—
1488	#123	—	53	4	no	—
1489	#123	—	53	4	no	—
1490	#123	—	53	4	no	—
1491	#123	—	53	4	no	—
1492	#123	—	53	4	no	—
1493	#123	—	53	4	no	—
1494	#123	—	53	4	no	—
1495	#123	—	53	4	no	—
1496	#123	—	53	4	no	—
1497	#123	—	53	4	no	—
1498	#123	—	53	4	no	—
1499	#123	—	53	4	no	—
1500	#123	—	53	4	no	—
1501	#123	—	53	4	no	—
1502	#123	—	53	4	no	—
1503	#123	—	53	4	no	—
1504	#123	—	53	4	no	—
1505	#123	—	53	4	no	—
1506	#123	—	53	4	no	—
1507	#123	—	53	4	no	—
1508	#123	—	53	4	no	—
1509	#123	C₂²×D₅₃	1	4	yes	—
1510	#123	C₂²×D₅₃	1	4	yes	—
1511	#123	C₂²×D₅₃	1	4	yes	complemented
1512	#123	C₂²×D₅₃	1	4	yes	complemented
1513	#123	C₂²×D₅₃	1	4	yes	complemented
1514	C₂²⋊Q₈	—	53	2	no	—
1515	C₂²⋊Q₈	—	53	4	no	—
1516	C₂²⋊Q₈	—	53	2	no	—
1517	C₂²⋊Q₈	—	53	2	no	—
1518	C₂²⋊Q₈	—	53	2	no	—
1519	C₂²⋊Q₈	—	53	2	no	—
1520	C₂²⋊Q₈	—	53	4	no	—
1521	C₂²⋊Q₈	—	53	2	no	—
1522	C₂²⋊Q₈	—	53	4	no	—
1523	C₂²⋊Q₈	—	53	4	no	—
1524	C₂²⋊Q₈	—	53	2	no	—
1525	C₂²⋊Q₈	—	53	4	no	—
1526	C₂²⋊Q₈	—	53	4	no	—
1527	C₂²⋊Q₈	—	53	4	no	—
1528	C₂²⋊Q₈	—	53	4	no	—
1529	C₂²⋊Q₈	—	53	4	no	—
1530	C₂²⋊Q₈	—	53	4	no	—
1531	C₂²⋊Q₈	—	53	4	no	—
1532	C₂²⋊Q₈	—	53	4	no	—
1533	C₂²⋊Q₈	—	53	4	no	—
1534	C₂²⋊Q₈	—	53	4	no	—
1535	C₂²⋊Q₈	—	53	4	no	—
1536	C₂²⋊Q₈	—	53	4	no	—
1537	C₂²⋊Q₈	—	53	4	no	—
1538	C₂²⋊Q₈	—	53	4	no	—
1539	C₂²⋊Q₈	—	53	4	no	—
1540	C₂²⋊Q₈	—	53	4	no	—
1541	C₂²⋊Q₈	—	53	4	no	—
1542	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1543	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1544	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1545	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1546	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1547	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1548	#121	—	53	4	no	—
1549	#121	—	53	4	no	—
1550	#121	—	53	4	no	—
1551	#121	—	53	4	no	—
1552	#121	—	53	4	no	—
1553	#121	—	53	2	no	—
1554	#121	—	53	4	no	—
1555	#121	—	53	4	no	—
1556	#121	—	53	4	no	—
1557	#121	—	53	4	no	—
1558	#121	—	53	4	no	—
1559	#121	—	53	4	no	—
1560	#121	—	53	4	no	—
1561	#121	—	53	4	no	—
1562	#121	—	53	4	no	—
1563	#121	—	53	2	no	—
1564	#121	—	53	2	no	—
1565	#121	—	53	2	no	—
1566	#121	—	53	2	no	—
1567	#121	—	53	4	no	—
1568	#121	—	53	2	no	—
1569	#121	—	53	4	no	—
1570	#121	—	53	4	no	—
1571	#121	—	53	4	no	—
1572	#121	—	53	2	no	—
1573	#121	—	53	4	no	—
1574	#121	—	53	4	no	—
1575	#121	—	53	4	no	—
1576	#121	—	53	4	no	—
1577	#121	—	53	4	no	—
1578	#121	—	53	4	no	—
1579	#121	—	53	4	no	—
1580	#121	—	53	4	no	—
1581	#121	—	53	4	no	—
1582	#121	—	53	4	no	—
1583	#121	—	53	4	no	—
1584	#121	—	53	4	no	—
1585	#121	—	53	4	no	—
1586	#121	—	53	4	no	—
1587	#121	—	53	4	no	—
1588	#121	—	53	4	no	—
1589	#121	—	53	4	no	—
1590	#121	C₂²×D₅₃	1	2	yes	—
1591	#121	C₂²×D₅₃	1	2	yes	—
1592	#121	C₂²×D₅₃	1	4	yes	—
1593	#121	C₂²×D₅₃	1	4	yes	—
1594	#121	C₂²×D₅₃	1	4	yes	complemented
1595	#121	C₂²×D₅₃	1	2	yes	complemented
1596	#121	C₂²×D₅₃	1	2	yes	complemented
1597	#121	C₂²×D₅₃	1	2	yes	complemented
1598	#120	—	53	4	no	—
1599	#120	—	53	4	no	—
1600	#120	—	53	4	no	—
1601	#120	—	53	4	no	—
1602	#120	—	53	4	no	—
1603	#120	—	53	4	no	—
1604	#120	—	53	4	no	—
1605	#120	—	53	4	no	—
1606	#120	—	53	4	no	—
1607	#120	—	53	4	no	—
1608	#120	—	53	4	no	—
1609	#120	—	53	4	no	—
1610	#120	—	53	4	no	—
1611	#120	—	53	4	no	—
1612	#120	—	53	4	no	—
1613	#120	—	53	4	no	—
1614	#120	—	53	4	no	—
1615	#120	—	53	4	no	—
1616	#120	—	53	4	no	—
1617	#120	—	53	4	no	—
1618	#120	C₂²×D₅₃	1	4	yes	—
1619	#120	C₂²×D₅₃	1	4	yes	—
1620	C₄×Q₈	—	53	2	no	—
1621	C₄×Q₈	—	53	4	no	—
1622	C₄×Q₈	—	53	4	no	—
1623	C₄×Q₈	—	53	4	no	—
1624	C₄×Q₈	—	53	2	no	—
1625	C₄×Q₈	—	53	4	no	—
1626	C₄×Q₈	—	53	4	no	—
1627	C₄×Q₈	—	53	4	no	—
1628	C₄×Q₈	—	53	2	no	—
1629	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1630	C₄×D₄	—	53	4	no	—
1631	C₄×D₄	—	53	4	no	—
1632	C₄×D₄	—	53	4	no	—
1633	C₄×D₄	—	53	4	no	—
1634	C₄×D₄	—	53	4	no	—
1635	C₄×D₄	—	53	4	no	—
1636	C₄×D₄	—	53	4	no	—
1637	C₄×D₄	—	53	2	no	—
1638	C₄×D₄	—	53	4	no	—
1639	C₄×D₄	—	53	4	no	—
1640	C₄×D₄	—	53	2	no	—
1641	C₄×D₄	—	53	2	no	—
1642	C₄×D₄	—	53	2	no	—
1643	C₄×D₄	—	53	2	no	—
1644	C₄×D₄	—	53	4	no	—
1645	C₄×D₄	—	53	4	no	—
1646	C₄×D₄	—	53	4	no	—
1647	C₄×D₄	—	53	4	no	—
1648	C₄×D₄	—	53	4	no	—
1649	C₄×D₄	—	53	4	no	—
1650	C₄×D₄	—	53	4	no	—
1651	C₄×D₄	—	53	4	no	—
1652	C₄×D₄	—	53	4	no	—
1653	C₄×D₄	—	53	4	no	—
1654	C₄×D₄	—	53	4	no	—
1655	C₄×D₄	—	53	4	no	—
1656	C₄×D₄	—	53	4	no	—
1657	C₄×D₄	—	53	4	no	—
1658	C₄×D₄	—	53	4	no	—
1659	C₄×D₄	—	53	4	no	—
1660	C₄×D₄	—	53	4	no	—
1661	C₄×D₄	—	53	2	no	—
1662	C₄×D₄	—	53	4	no	—
1663	C₄×D₄	—	53	4	no	—
1664	C₄×D₄	—	53	4	no	—
1665	C₄×D₄	—	53	4	no	—
1666	C₄×D₄	—	53	4	no	—
1667	C₄×D₄	—	53	4	no	—
1668	C₄×D₄	—	53	4	no	—
1669	C₄×D₄	—	53	4	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	4	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	2	no	—
1689	C₄×D₄	—	53	4	no	—
1690	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1691	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1692	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1693	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1694	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1695	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1696	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1697	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1698	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1699	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
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	4	no	—
1715	#117	—	53	4	no	—
1716	#117	—	53	4	no	—
1717	#117	—	53	4	no	—
1718	#117	—	53	4	no	—
1719	#117	C₂²×D₅₃	1	4	yes	complemented
1720	#117	C₂²×D₅₃	1	4	yes	complemented
1721	#117	C₂²×D₅₃	1	2	yes	complemented
1722	C₂×C₄⋊C₄	—	53	1	no	—
1723	C₂×C₄⋊C₄	—	53	1	no	—
1724	C₂×C₄⋊C₄	—	53	1	no	—
1725	C₂×C₄⋊C₄	—	53	2	no	—
1726	C₂×C₄⋊C₄	—	53	2	no	—
1727	C₂×C₄⋊C₄	—	53	4	no	—
1728	C₂×C₄⋊C₄	—	53	2	no	—
1729	C₂×C₄⋊C₄	—	53	1	no	—
1730	C₂×C₄⋊C₄	—	53	1	no	—
1731	C₂×C₄⋊C₄	—	53	4	no	—
1732	C₂×C₄⋊C₄	—	53	4	no	—
1733	C₂×C₄⋊C₄	—	53	4	no	—
1734	C₂×C₄⋊C₄	—	53	2	no	—
1735	C₂×C₄⋊C₄	—	53	2	no	—
1736	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1737	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1738	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1739	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1740	C₂×C₂²⋊C₄	—	53	1	no	—
1741	C₂×C₂²⋊C₄	—	53	1	no	—
1742	C₂×C₂²⋊C₄	—	53	2	no	—
1743	C₂×C₂²⋊C₄	—	53	2	no	—
1744	C₂×C₂²⋊C₄	—	53	1	no	—
1745	C₂×C₂²⋊C₄	—	53	1	no	—
1746	C₂×C₂²⋊C₄	—	53	1	no	—
1747	C₂×C₂²⋊C₄	—	53	1	no	—
1748	C₂×C₂²⋊C₄	—	53	1	no	—
1749	C₂×C₂²⋊C₄	—	53	1	no	—
1750	C₂×C₂²⋊C₄	—	53	1	no	—
1751	C₂×C₂²⋊C₄	—	53	1	no	—
1752	C₂×C₂²⋊C₄	—	53	2	no	—
1753	C₂×C₂²⋊C₄	—	53	2	no	—
1754	C₂×C₂²⋊C₄	—	53	2	no	—
1755	C₂×C₂²⋊C₄	—	53	2	no	—
1756	C₂×C₂²⋊C₄	—	53	4	no	—
1757	C₂×C₂²⋊C₄	—	53	4	no	—
1758	C₂×C₂²⋊C₄	—	53	2	no	—
1759	C₂×C₂²⋊C₄	—	53	4	no	—
1760	C₂×C₂²⋊C₄	—	53	2	no	—
1761	C₂×C₂²⋊C₄	—	53	2	no	—
1762	C₂×C₂²⋊C₄	—	53	2	no	—
1763	C₂×C₂²⋊C₄	—	53	2	no	—
1764	C₂×C₂²⋊C₄	—	53	2	no	—
1765	C₂×C₂²⋊C₄	—	53	4	no	—
1766	C₂×C₂²⋊C₄	—	53	4	no	—
1767	C₂×C₂²⋊C₄	—	53	4	no	—
1768	C₂×C₂²⋊C₄	—	53	4	no	—
1769	C₂×C₂²⋊C₄	—	53	4	no	—
1770	C₂×C₂²⋊C₄	—	53	4	no	—
1771	C₂×C₂²⋊C₄	—	53	4	no	—
1772	C₂×C₂²⋊C₄	—	53	4	no	—
1773	C₂×C₂²⋊C₄	—	53	4	no	—
1774	C₂×C₂²⋊C₄	—	53	4	no	—
1775	C₂×C₂²⋊C₄	—	53	4	no	—
1776	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1777	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1778	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1779	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
1780	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1781	C₂×C₄²	—	53	1	no	—
1782	C₂×C₄²	—	53	1	no	—
1783	C₂×C₄²	—	53	1	no	—
1784	C₂×C₄²	—	53	2	no	—
1785	C₂×C₄²	—	53	2	no	—
1786	C₂×C₄²	—	53	4	no	—
1787	C₂×C₄²	—	53	4	no	—
1788	C₂×C₄²	—	53	4	no	—
1789	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1790	C₂⁴	—	53	1	no	—
1791	C₂⁴	—	53	4	no	—
1792	C₂⁴	—	53	2	no	—
1793	C₂⁴	—	53	2	no	—
1794	C₂⁴	—	53	1	no	—
1795	C₂⁴	—	53	4	no	—
1796	C₂⁴	—	53	2	no	—
1797	C₂⁴	—	53	1	no	—
1798	C₂⁴	—	106	4	no	—
1799	C₂⁴	—	106	4	no	—
1800	C₂⁴	—	424	1	no	—
1801	C₂⁴	—	424	1	no	—
1802	C₂⁴	—	424	1	no	—
1803	C₂⁴	—	424	1	no	—
1804	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1805	C₂⁴	C₂³×D₅₃	1	2	yes	—
1806	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1807	#41	—	8	2	no	—
1808	#41	—	106	16	no	—
1809	#41	—	106	16	no	—
1810	#41	—	106	16	no	—
1811	#41	—	424	2	no	—
1812	#41	—	424	4	no	—
1813	#41	—	424	4	no	—
1814	#41	—	424	4	no	—
1815	C₂×Q₈	—	8	1	no	—
1816	C₂×Q₈	—	53	4	no	—
1817	C₂×Q₈	—	53	4	no	—
1818	C₂×Q₈	—	53	2	no	—
1819	C₂×Q₈	—	53	2	no	—
1820	C₂×Q₈	—	53	4	no	—
1821	C₂×Q₈	—	424	1	no	—
1822	C₂×Q₈	—	424	2	no	—
1823	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1824	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1825	C₂×D₄	—	2	4	no	—
1826	C₂×D₄	—	2	8	no	—
1827	C₂×D₄	—	8	1	no	—
1828	C₂×D₄	—	53	8	no	—
1829	C₂×D₄	—	53	2	no	—
1830	C₂×D₄	—	53	2	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	4	no	—
1838	C₂×D₄	—	53	4	no	—
1839	C₂×D₄	—	53	4	no	—
1840	C₂×D₄	—	53	4	no	—
1841	C₂×D₄	—	53	4	no	—
1842	C₂×D₄	—	53	4	no	—
1843	C₂×D₄	—	53	4	no	—
1844	C₂×D₄	—	53	4	no	—
1845	C₂×D₄	—	53	4	no	—
1846	C₂×D₄	—	53	4	no	—
1847	C₂×D₄	—	53	4	no	—
1848	C₂×D₄	—	53	4	no	—
1849	C₂×D₄	—	53	4	no	—
1850	C₂×D₄	—	53	2	no	—
1851	C₂×D₄	—	53	2	no	—
1852	C₂×D₄	—	106	4	no	—
1853	C₂×D₄	—	106	4	no	—
1854	C₂×D₄	—	106	16	no	—
1855	C₂×D₄	—	106	16	no	—
1856	C₂×D₄	—	106	16	no	—
1857	C₂×D₄	—	106	16	no	—
1858	C₂×D₄	—	106	16	no	—
1859	C₂×D₄	—	106	8	no	—
1860	C₂×D₄	—	424	1	no	—
1861	C₂×D₄	—	424	2	no	—
1862	C₂×D₄	—	424	2	no	—
1863	C₂×D₄	—	424	2	no	—
1864	C₂×D₄	—	424	4	no	—
1865	C₂×D₄	—	424	4	no	—
1866	C₂×D₄	—	424	2	no	—
1867	C₂×D₄	—	424	2	no	—
1868	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1869	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1870	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1871	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1872	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1873	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1874	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1875	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1876	C₂²×C₄	—	8	1	no	—
1877	C₂²×C₄	—	8	1	no	—
1878	C₂²×C₄	—	53	1	no	—
1879	C₂²×C₄	—	53	2	no	—
1880	C₂²×C₄	—	53	4	no	—
1881	C₂²×C₄	—	53	2	no	—
1882	C₂²×C₄	—	53	1	no	—
1883	C₂²×C₄	—	53	1	no	—
1884	C₂²×C₄	—	53	2	no	—
1885	C₂²×C₄	—	53	2	no	—
1886	C₂²×C₄	—	53	1	no	—
1887	C₂²×C₄	—	53	1	no	—
1888	C₂²×C₄	—	53	4	no	—
1889	C₂²×C₄	—	53	2	no	—
1890	C₂²×C₄	—	53	4	no	—
1891	C₂²×C₄	—	53	4	no	—
1892	C₂²×C₄	—	53	4	no	—
1893	C₂²×C₄	—	53	4	no	—
1894	C₂²×C₄	—	53	4	no	—
1895	C₂²×C₄	—	53	4	no	—
1896	C₂²×C₄	—	53	4	no	—
1897	C₂²×C₄	—	53	4	no	—
1898	C₂²×C₄	—	53	4	no	—
1899	C₂²×C₄	—	53	2	no	—
1900	C₂²×C₄	—	53	2	no	—
1901	C₂²×C₄	—	53	4	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	—	106	4	no	—
1907	C₂²×C₄	—	424	1	no	—
1908	C₂²×C₄	—	424	1	no	—
1909	C₂²×C₄	—	424	1	no	—
1910	C₂²×C₄	—	424	1	no	—
1911	C₂²×C₄	—	424	2	no	—
1912	C₂²×C₄	—	424	4	no	—
1913	C₂²×C₄	—	424	1	no	—
1914	C₂²×C₄	—	424	2	no	—
1915	C₂²×C₄	—	424	1	no	—
1916	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1917	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1918	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1919	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1920	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1921	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1922	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1923	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1924	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1925	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1926	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1927	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1928	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1929	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1930	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1931	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
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	2	no	—
1940	C₄⋊C₄	—	53	4	no	—
1941	C₄⋊C₄	—	53	2	no	—
1942	C₄⋊C₄	—	53	2	no	—
1943	C₄⋊C₄	—	53	2	no	—
1944	C₄⋊C₄	—	53	4	no	—
1945	C₄⋊C₄	—	53	4	no	—
1946	C₄⋊C₄	—	53	4	no	—
1947	C₄⋊C₄	—	53	4	no	—
1948	C₄⋊C₄	—	53	4	no	—
1949	C₄⋊C₄	—	53	2	no	—
1950	C₄⋊C₄	—	53	4	no	—
1951	C₄⋊C₄	—	53	2	no	—
1952	C₄⋊C₄	—	53	4	no	—
1953	C₄⋊C₄	—	53	4	no	—
1954	C₄⋊C₄	—	53	4	no	—
1955	C₄⋊C₄	—	53	4	no	—
1956	C₄⋊C₄	—	53	4	no	—
1957	C₄⋊C₄	—	53	4	no	—
1958	C₄⋊C₄	—	53	4	no	—
1959	C₄⋊C₄	—	53	4	no	—
1960	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1961	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1962	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1963	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1964	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1965	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1966	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1967	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1968	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1969	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1970	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1971	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1972	C₂²⋊C₄	—	53	2	no	—
1973	C₂²⋊C₄	—	53	2	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	2	no	—
1985	C₂²⋊C₄	—	53	2	no	—
1986	C₂²⋊C₄	—	53	2	no	—
1987	C₂²⋊C₄	—	53	4	no	—
1988	C₂²⋊C₄	—	53	4	no	—
1989	C₂²⋊C₄	—	53	2	no	—
1990	C₂²⋊C₄	—	53	2	no	—
1991	C₂²⋊C₄	—	53	2	no	—
1992	C₂²⋊C₄	—	53	2	no	—
1993	C₂²⋊C₄	—	53	2	no	—
1994	C₂²⋊C₄	—	53	2	no	—
1995	C₂²⋊C₄	—	53	2	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	—	53	4	no	—
2001	C₂²⋊C₄	—	53	4	no	—
2002	C₂²⋊C₄	—	53	4	no	—
2003	C₂²⋊C₄	—	53	4	no	—
2004	C₂²⋊C₄	—	53	4	no	—
2005	C₂²⋊C₄	—	53	4	no	—
2006	C₂²⋊C₄	—	53	4	no	—
2007	C₂²⋊C₄	—	53	4	no	—
2008	C₂²⋊C₄	—	53	4	no	—
2009	C₂²⋊C₄	—	53	4	no	—
2010	C₂²⋊C₄	—	53	4	no	—
2011	C₂²⋊C₄	—	53	4	no	—
2012	C₂²⋊C₄	—	53	4	no	—
2013	C₂²⋊C₄	—	53	4	no	—
2014	C₂²⋊C₄	—	53	4	no	—
2015	C₂²⋊C₄	—	53	4	no	—
2016	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2017	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2018	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2019	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2020	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2021	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2022	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2023	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2024	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2025	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2026	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2027	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2028	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2029	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2030	C₄²	—	53	4	no	—
2031	C₄²	—	53	4	no	—
2032	C₄²	—	53	4	no	—
2033	C₄²	—	53	4	no	—
2034	C₄²	—	53	4	no	—
2035	C₄²	—	53	4	no	—
2036	C₄²	—	53	4	no	—
2037	C₄²	—	53	4	no	—
2038	C₄²	—	53	2	no	—
2039	C₄²	—	53	2	no	—
2040	C₄²	—	53	4	no	—
2041	C₄²	—	53	4	no	—
2042	C₄²	C₂³×D₅₃	1	4	yes	—
2043	C₄²	C₂³×D₅₃	1	4	yes	—
2044	C₄²	C₂³×D₅₃	1	2	yes	—
2045	C₄²	C₂³×D₅₃	1	2	yes	—
2046	C₂³	—	2	2	no	—
2047	C₂³	—	2	4	no	—
2048	C₂³	—	4	1	no	—
2049	C₂³	—	4	1	no	—
2050	C₂³	—	4	1	no	—
2051	C₂³	—	4	1	no	—
2052	C₂³	—	4	2	no	—
2053	C₂³	—	4	2	no	—
2054	C₂³	—	53	2	no	—
2055	C₂³	—	53	4	no	—
2056	C₂³	—	53	2	no	—
2057	C₂³	—	53	2	no	—
2058	C₂³	—	53	4	no	—
2059	C₂³	—	106	8	no	—
2060	C₂³	—	106	8	no	—
2061	C₂³	—	106	4	no	—
2062	C₂³	—	106	4	no	—
2063	C₂³	—	106	4	no	—
2064	C₂³	—	106	2	no	—
2065	C₂³	—	106	2	no	—
2066	C₂³	—	424	8	no	—
2067	C₂³	—	424	8	no	—
2068	C₂³	—	212	2	no	—
2069	C₂³	—	212	4	no	—
2070	C₂³	—	212	2	no	—
2071	C₂³	—	212	4	no	—
2072	C₂³	—	212	2	no	—
2073	C₂³	—	212	2	no	—
2074	C₂³	—	212	2	no	—
2075	C₂³	—	212	2	no	—
2076	C₂³	—	212	4	no	—
2077	C₂³	—	212	4	no	—
2078	C₂³	—	212	1	no	—
2079	C₂³	—	212	1	no	—
2080	C₂³	—	212	1	no	—
2081	C₂³	—	212	1	no	—
2082	C₂³	—	212	1	no	—
2083	C₂³	—	212	1	no	—
2084	C₂³	#41×D₅₃	1	4	yes	—
2085	C₂³	C₂⁴×D₅₃	1	2	yes	—
2086	C₂³	C₂⁴×D₅₃	1	4	yes	—
2087	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2088	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2089	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2090	Q₈	—	4	2	no	—
2091	Q₈	—	4	2	no	—
2092	Q₈	—	106	8	no	—
2093	Q₈	—	212	2	no	—
2094	Q₈	—	212	2	no	—
2095	Q₈	—	212	4	no	—
2096	Q₈	—	212	4	no	—
2097	D₄	—	2	4	no	—
2098	D₄	—	2	4	no	—
2099	D₄	—	2	8	no	—
2100	D₄	—	2	8	no	—
2101	D₄	—	4	2	no	—
2102	D₄	—	4	2	no	—
2103	D₄	—	4	4	no	—
2104	D₄	—	4	4	no	—
2105	D₄	—	53	8	no	—
2106	D₄	—	53	8	no	—
2107	D₄	—	106	8	no	—
2108	D₄	—	106	8	no	—
2109	D₄	—	106	8	no	—
2110	D₄	—	106	8	no	—
2111	D₄	—	106	8	no	—
2112	D₄	—	106	8	no	—
2113	D₄	—	106	8	no	—
2114	D₄	—	212	2	no	—
2115	D₄	—	212	4	no	—
2116	D₄	—	212	4	no	—
2117	D₄	—	212	2	no	—
2118	D₄	—	212	4	no	—
2119	D₄	—	212	4	no	—
2120	D₄	—	212	4	no	—
2121	D₄	—	212	4	no	—
2122	D₄	—	212	4	no	—
2123	D₄	—	212	4	no	—
2124	D₄	—	212	4	no	—
2125	D₄	—	212	4	no	—
2126	D₄	—	212	4	no	—
2127	D₄	—	212	4	no	—
2128	C₂×C₄	—	2	2	no	—
2129	C₂×C₄	—	2	4	no	—
2130	C₂×C₄	—	4	1	no	—
2131	C₂×C₄	—	4	1	no	—
2132	C₂×C₄	—	4	1	no	—
2133	C₂×C₄	—	4	1	no	—
2134	C₂×C₄	—	4	1	no	—
2135	C₂×C₄	—	4	1	no	—
2136	C₂×C₄	—	4	1	no	—
2137	C₂×C₄	—	4	2	no	—
2138	C₂×C₄	—	4	2	no	—
2139	C₂×C₄	—	4	1	no	—
2140	C₂×C₄	—	4	2	no	—
2141	C₂×C₄	—	4	4	no	—
2142	C₂×C₄	—	4	2	no	—
2143	C₂×C₄	—	4	4	no	—
2144	C₂×C₄	—	53	4	no	—
2145	C₂×C₄	—	53	2	no	—
2146	C₂×C₄	—	53	2	no	—
2147	C₂×C₄	—	53	2	no	—
2148	C₂×C₄	—	53	4	no	—
2149	C₂×C₄	—	53	4	no	—
2150	C₂×C₄	—	53	2	no	—
2151	C₂×C₄	—	53	2	no	—
2152	C₂×C₄	—	53	4	no	—
2153	C₂×C₄	—	106	8	no	—
2154	C₂×C₄	—	106	8	no	—
2155	C₂×C₄	—	106	8	no	—
2156	C₂×C₄	—	106	8	no	—
2157	C₂×C₄	—	106	4	no	—
2158	C₂×C₄	—	212	4	no	—
2159	C₂×C₄	—	212	4	no	—
2160	C₂×C₄	—	212	2	no	—
2161	C₂×C₄	—	212	4	no	—
2162	C₂×C₄	—	212	2	no	—
2163	C₂×C₄	—	212	4	no	—
2164	C₂×C₄	—	212	4	no	—
2165	C₂×C₄	—	212	4	no	—
2166	C₂×C₄	—	212	4	no	—
2167	C₂×C₄	—	212	4	no	—
2168	C₂×C₄	—	212	4	no	—
2169	C₂×C₄	—	212	1	no	—
2170	C₂×C₄	—	212	2	no	—
2171	C₂×C₄	—	212	1	no	—
2172	C₂×C₄	—	212	1	no	—
2173	C₂×C₄	—	212	2	no	—
2174	C₂×C₄	—	212	4	no	—
2175	C₂×C₄	—	212	1	no	—
2176	C₂×C₄	—	212	2	no	—
2177	C₂×C₄	—	212	4	no	—
2178	C₂×C₄	—	212	4	no	—
2179	C₂×C₄	—	212	2	no	—
2180	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2181	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2182	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2183	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2184	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2185	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2186	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2187	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2188	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2189	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2190	C₂²	—	2	1	no	—
2191	C₂²	—	2	1	no	—
2192	C₂²	—	2	1	no	—
2193	C₂²	—	2	1	no	—
2194	C₂²	—	2	1	no	—
2195	C₂²	—	2	1	no	—
2196	C₂²	—	2	4	no	—
2197	C₂²	—	2	2	no	—
2198	C₂²	—	2	2	no	—
2199	C₂²	—	2	4	no	—
2200	C₂²	—	2	4	no	—
2201	C₂²	—	2	2	no	—
2202	C₂²	—	4	4	no	—
2203	C₂²	—	4	4	no	—
2204	C₂²	—	8	4	no	—
2205	C₂²	—	53	4	no	—
2206	C₂²	—	106	2	no	—
2207	C₂²	—	106	2	no	—
2208	C₂²	—	106	2	no	—
2209	C₂²	—	106	4	no	—
2210	C₂²	—	106	2	no	—
2211	C₂²	—	106	2	no	—
2212	C₂²	—	106	4	no	—
2213	C₂²	—	106	2	no	—
2214	C₂²	—	106	4	no	—
2215	C₂²	—	106	2	no	—
2216	C₂²	—	106	2	no	—
2217	C₂²	—	424	4	no	—
2218	C₂²	—	424	4	no	—
2219	C₂²	—	424	4	no	—
2220	C₂²	—	424	8	no	—
2221	C₂²	—	424	8	no	—
2222	C₂²	—	212	4	no	—
2223	C₂²	—	212	4	no	—
2224	C₂²	—	212	4	no	—
2225	C₂²	C₂×#41×D₅₃	1	2	yes	—
2226	C₂²	C₂×#41×D₅₃	1	2	yes	—
2227	C₂²	C₂×#41×D₅₃	1	2	yes	—
2228	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2229	C₄	—	2	2	no	—
2230	C₄	—	2	4	no	—
2231	C₄	—	2	2	no	—
2232	C₄	—	2	1	no	—
2233	C₄	—	2	1	no	—
2234	C₄	—	2	1	no	—
2235	C₄	—	2	1	no	—
2236	C₄	—	2	4	no	—
2237	C₄	—	2	2	no	—
2238	C₄	—	2	4	no	—
2239	C₄	—	53	4	no	—
2240	C₄	—	106	4	no	—
2241	C₄	—	106	2	no	—
2242	C₄	—	106	4	no	—
2243	C₄	—	106	2	no	—
2244	C₄	—	106	2	no	—
2245	C₄	—	106	4	no	—
2246	C₄	—	106	2	no	—
2247	C₂	—	2	2	no	—
2248	C₂	—	2	2	no	—
2249	C₂	—	2	2	no	—
2250	C₂	—	4	2	no	—
2251	C₂	—	4	4	no	—
2252	C₂	—	106	4	no	—
2253	C₂	—	212	2	no	—
2254	C₂	—	212	2	no	—
2255	C₂	—	212	4	no	—
2256	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2257	C₂	#20289525	1	1	yes	characteristic
2258	C₂	#20289526	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3505	C₂
hypercenter	#3505	D₅₃
hypocenter	C₅₃	#62846
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3505

Complements

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

N	H ≅ G/N	type
1. #20288774	C₂	semidirect
2. #20288770	C₂	semidirect
3. #20288740	C₂	semidirect
4. #20288736	C₂	semidirect
5. #20288669	C₂	semidirect
6. #20288665	C₂	semidirect
7. #20288646	C₂	semidirect
8. #20288642	C₂	semidirect
9. #20288562	C₂	semidirect
10. #20288554	C₂	semidirect
11. #20288547	C₂	semidirect
12. #20288511	C₂	semidirect
13. #20288472	C₂	semidirect
14. #20288427	C₂	semidirect
15. #20288400	C₂	semidirect
16. #20288398	C₂	semidirect
17. #20288347	C₂	semidirect
18. #20288133	C₂	semidirect
19. #20288125	C₂	semidirect
20. #20288121	C₂	semidirect
21. #20288101	C₂	semidirect
22. C₂×#16811213	C₂	semidirect
23. C₂×#16811210	C₂	semidirect
24. #538×D₅₃	C₂	semidirect
25. #20287919	C₂	semidirect
26. C₂×#16811095	C₂	semidirect
27. C₅₃×#3505	C₂	semidirect
30. #16811357	C₂²	semidirect
31. #16811355	C₂²	semidirect
32. #16811345	C₂²	semidirect
33. #16811340	C₂²	semidirect
34. #16811340	C₂²	semidirect
35. #16811336	C₂²	semidirect
36. #16811335	C₂²	semidirect
37. #16811335	C₂²	semidirect
38. #16811331	C₂²	semidirect
39. #16811328	C₂²	semidirect
40. #16811328	C₂²	semidirect
41. #16811327	C₂²	semidirect
42. #16811326	C₂²	semidirect
43. #16811324	C₂²	semidirect
44. #16811324	C₂²	semidirect
45. #16811324	C₂²	semidirect
46. #16811322	C₂²	semidirect
47. #16811322	C₂²	semidirect
48. #16811319	C₂²	semidirect
49. #16811318	C₂²	semidirect
50. #16811316	C₂²	semidirect
51. #16811313	C₂²	semidirect
52. #16811306	C₂²	semidirect
53. #16811305	C₂²	semidirect
54. #16811305	C₂²	semidirect
55. #16811302	C₂²	semidirect
56. #16811302	C₂²	semidirect
57. #16811302	C₂²	semidirect
58. #16811302	C₂²	semidirect
59. #16811300	C₂²	semidirect
60. #16811300	C₂²	semidirect
61. #16811298	C₂²	semidirect
62. #16811297	C₂²	semidirect
63. #16811297	C₂²	semidirect
64. #16811297	C₂²	semidirect
65. #16811296	C₂²	semidirect
66. #16811291	C₂²	semidirect
67. Q₈×C₂²⋊D₅₃	C₂²	semidirect
68. #16811286	C₂²	semidirect
69. #16811283	C₂²	semidirect
70. #16811282	C₂²	semidirect
71. #16811274	C₂²	semidirect
72. #16811273	C₂²	semidirect
73. #16811271	C₂²	semidirect
74. #16811269	C₂²	semidirect
75. #16811269	C₂²	semidirect
76. #16811269	C₂²	semidirect
77. #16811268	C₂²	semidirect
78. #16811265	C₂²	semidirect
79. #16811265	C₂²	semidirect
80. #16811265	C₂²	semidirect
81. #16811265	C₂²	semidirect
82. #16811263	C₂²	semidirect
83. #16811263	C₂²	semidirect
84. #16811263	C₂²	semidirect
85. #16811262	C₂²	semidirect
86. #16811262	C₂²	semidirect
87. #16811262	C₂²	semidirect
88. #16811262	C₂²	semidirect
89. #16811261	C₂²	semidirect
90. #16811257	C₂²	semidirect
91. #16811257	C₂²	semidirect
92. #16811257	C₂²	semidirect
93. D₄×C₂²⋊D₅₃	C₂²	semidirect
94. #16811255	C₂²	semidirect
95. #16811255	C₂²	semidirect
96. #16811252	C₂²	semidirect
97. #16811249	C₂²	semidirect
98. #16811248	C₂²	semidirect
99. #16811243	C₂²	semidirect
100. #16811243	C₂²	semidirect
101. #16811241	C₂²	semidirect
102. #16811239	C₂²	semidirect
103. #16811232	C₂²	semidirect
104. #16811225	C₂²	semidirect
105. #16811225	C₂²	semidirect
106. #16811223	C₂²	semidirect
107. #16811221	C₂²	semidirect
108. #16811220	C₂²	semidirect
109. #16811218	C₂²	semidirect
110. #16811217	C₂²	semidirect
111. #16811217	C₂²	semidirect
112. #16811214	C₂²	semidirect
113. #16811213	C₂²	semidirect
114. #16811213	C₂²	semidirect
115. #16811213	C₂²	semidirect
116. #16811213	C₂²	semidirect
117. #16811213	C₂²	semidirect
118. #16811213	C₂²	semidirect
119. #16811212	C₂²	semidirect
120. #16811212	C₂²	semidirect
121. #16811211	C₂²	semidirect
122. #16811210	C₂²	semidirect
123. #16811210	C₂²	semidirect
124. #16811210	C₂²	semidirect
125. #16811210	C₂²	semidirect
126. #16811210	C₂²	semidirect
127. #16811210	C₂²	semidirect
128. #16811210	C₂²	semidirect
129. #16811209	C₂²	semidirect
130. #16811208	C₂²	semidirect
131. #16811208	C₂²	semidirect
132. #16811207	C₂²	semidirect
133. #16811207	C₂²	semidirect
134. #16811206	C₂²	semidirect
135. #16811206	C₂²	semidirect
136. #16811205	C₂²	semidirect
137. #16811200	C₂²	semidirect
138. #16811188	C₂²	semidirect
139. #16811184	C₂²	semidirect
140. #16811182	C₂²	semidirect
141. #16811182	C₂²	semidirect
142. #16811181	C₂²	semidirect
143. #16811175	C₂²	semidirect
144. #16811170	C₂²	semidirect
145. #16811169	C₂²	semidirect
146. #16811168	C₂²	semidirect
147. #16811160	C₂²	semidirect
148. #16811159	C₂²	semidirect
149. #16811158	C₂²	semidirect
150. #16811157	C₂²	semidirect
151. #16811156	C₂²	semidirect
152. #16811154	C₂²	semidirect
153. #16811153	C₂²	semidirect
154. #16811151	C₂²	semidirect
155. #16811151	C₂²	semidirect
156. #16811150	C₂²	semidirect
157. #16811150	C₂²	semidirect
158. #16811150	C₂²	semidirect
159. C₂×#13133212	C₂²	semidirect
160. C₂×#13133212	C₂²	semidirect
161. #126×D₅₃	C₂²	semidirect
162. C₂×#13133206	C₂²	semidirect
163. C₂×#13133203	C₂²	semidirect
164. #124×D₅₃	C₂²	semidirect
165. #16811135	C₂²	semidirect
166. #16811134	C₂²	semidirect
167. #16811133	C₂²	semidirect
168. #16811132	C₂²	semidirect
169. #16811132	C₂²	semidirect
170. #16811132	C₂²	semidirect
171. #16811131	C₂²	semidirect
172. #16811129	C₂²	semidirect
173. #16811129	C₂²	semidirect
174. C₂×#13133202	C₂²	semidirect
175. C₂×#13133201	C₂²	semidirect
176. #123×D₅₃	C₂²	semidirect
177. C₂×#13133196	C₂²	semidirect
178. C₂²⋊Q₈×D₅₃	C₂²	semidirect
179. C₂×#13133192	C₂²	semidirect
180. C₂×#13133191	C₂²	semidirect
181. C₂×#13133189	C₂²	semidirect
182. #121×D₅₃	C₂²	semidirect
183. #121×D₅₃	C₂²	semidirect
184. C₂×#13133187	C₂²	semidirect
185. C₂×#13133185	C₂²	semidirect
186. #120×D₅₃	C₂²	semidirect
187. #16811103	C₂²	semidirect
188. #16811102	C₂²	semidirect
189. #16811102	C₂²	semidirect
191. #16811096	C₂²	semidirect
192. #16811096	C₂²	semidirect
193. #16811095	C₂²	semidirect
194. #16811095	C₂²	semidirect
195. #16811095	C₂²	semidirect
196. #16811095	C₂²	semidirect
197. #16811095	C₂²	semidirect
198. #16811095	C₂²	semidirect
199. #16811091	C₂²	semidirect
200. C₄×#11719947	C₂²	semidirect
201. C₄×#11719947	C₂²	semidirect
202. C₂×C₄×D₂₁₂	C₂²	semidirect
203. C₂×D₄×Dic₅₃	C₂²	semidirect
204. C₂×D₄×Dic₅₃	C₂²	semidirect
205. C₂×#13133179	C₂²	semidirect
207. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
209. C₂×#13133177	C₂²	semidirect
210. C₂×#13133177	C₂²	semidirect
211. C₂×#13133177	C₂²	semidirect
212. C₄×D₄×D₅₃	C₂²	semidirect
213. C₄×D₄×D₅₃	C₂²	semidirect
214. C₂×#13133175	C₂²	semidirect
215. C₂×#13133174	C₂²	semidirect
216. C₂²×#11719921	C₂²	semidirect
217. C₂²×#11719921	C₂²	semidirect
218. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
219. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
220. C₅₃×#553	C₂²	semidirect
221. C₅₃×#553	C₂²	semidirect
222. C₅₃×#552	C₂²	semidirect
223. C₅₃×#551	C₂²	semidirect
224. C₅₃×#548	C₂²	semidirect
225. C₅₃×#546	C₂²	semidirect
226. C₅₃×#539	C₂²	semidirect
227. C₅₃×#538	C₂²	semidirect
228. C₅₃×#534	C₂²	semidirect
229. C₅₃×#529	C₂²	semidirect
230. C₅₃×#525	C₂²	semidirect
231. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
232. C₂×#121×C₅₃	C₂²	semidirect
233. C₅₃×#518	C₂²	semidirect
234. C₂×C₄×D₄×C₅₃	C₂²	semidirect
239. C₂×#11719945	C₂³	semidirect
240. C₂×#11719945	C₂³	semidirect
241. C₂×#11719945	C₂³	semidirect
244. C₂×#11719947	C₂³	semidirect
245. C₂²×Dic₁₀₆	C₂³	semidirect
246. C₂×Q₈×D₅₃	C₂³	semidirect
250. C₂²×D₂₁₂	C₂³	semidirect
264. C₂×D₄×D₅₃	C₂³	semidirect
267. C₂³×Dic₅₃	C₂³	semidirect
273. C₂²×C₄×D₅₃	C₂³	semidirect
274. C₂²×C₄×D₅₃	C₂³	semidirect
275. #13133216	C₂³	semidirect
276. #13133216	C₂³	semidirect
277. #13133216	C₂³	semidirect
278. #13133215	C₂³	semidirect
279. #13133215	C₂³	semidirect
282. #13133213	C₂³	semidirect
289. #13133212	C₂³	semidirect
290. #13133212	C₂³	semidirect
291. #13133212	C₂³	semidirect
292. #13133212	C₂³	semidirect
293. #13133212	C₂³	semidirect
294. #13133212	C₂³	semidirect
295. #13133212	C₂³	semidirect
298. #13133211	C₂³	semidirect
299. #13133210	C₂³	semidirect
300. #13133210	C₂³	semidirect
301. #13133210	C₂³	semidirect
302. #13133210	C₂³	semidirect
303. #13133210	C₂³	semidirect
304. #13133209	C₂³	semidirect
305. #13133208	C₂³	semidirect
306. #13133207	C₂³	semidirect
307. #13133207	C₂³	semidirect
308. #13133207	C₂³	semidirect
309. #13133207	C₂³	semidirect
310. #13133207	C₂³	semidirect
311. #13133207	C₂³	semidirect
314. #13133206	C₂³	semidirect
315. #13133206	C₂³	semidirect
318. #13133205	C₂³	semidirect
319. #13133204	C₂³	semidirect
326. #13133203	C₂³	semidirect
327. #13133203	C₂³	semidirect
328. #13133203	C₂³	semidirect
329. #13133203	C₂³	semidirect
330. #13133203	C₂³	semidirect
331. #13133203	C₂³	semidirect
338. #13133202	C₂³	semidirect
339. #13133202	C₂³	semidirect
340. #13133202	C₂³	semidirect
341. #13133202	C₂³	semidirect
342. #13133202	C₂³	semidirect
343. #13133202	C₂³	semidirect
346. #13133201	C₂³	semidirect
347. #13133201	C₂³	semidirect
348. #13133201	C₂³	semidirect
349. #13133201	C₂³	semidirect
353. #13133200	C₂³	semidirect
354. #13133200	C₂³	semidirect
355. #13133199	C₂³	semidirect
356. #13133199	C₂³	semidirect
357. #13133199	C₂³	semidirect
358. #13133199	C₂³	semidirect
359. #13133199	C₂³	semidirect
360. #13133199	C₂³	semidirect
362. #13133198	C₂³	semidirect
363. #13133198	C₂³	semidirect
364. #13133198	C₂³	semidirect
365. #13133197	C₂³	semidirect
366. #13133197	C₂³	semidirect
367. #13133197	C₂³	semidirect
370. #13133196	C₂³	semidirect
371. #13133196	C₂³	semidirect
372. #13133196	C₂³	semidirect
373. #13133196	C₂³	semidirect
374. #13133196	C₂³	semidirect
377. #13133195	C₂³	semidirect
378. #13133195	C₂³	semidirect
379. #13133195	C₂³	semidirect
380. #13133195	C₂³	semidirect
381. #13133195	C₂³	semidirect
382. #13133195	C₂³	semidirect
383. #13133195	C₂³	semidirect
386. #13133194	C₂³	semidirect
387. #13133194	C₂³	semidirect
388. #13133194	C₂³	semidirect
389. #13133194	C₂³	semidirect
390. #13133194	C₂³	semidirect
391. #13133193	C₂³	semidirect
392. #13133193	C₂³	semidirect
397. #13133192	C₂³	semidirect
398. #13133192	C₂³	semidirect
399. #13133192	C₂³	semidirect
404. #13133191	C₂³	semidirect
405. #13133191	C₂³	semidirect
406. #13133191	C₂³	semidirect
415. #13133190	C₂³	semidirect
416. #13133190	C₂³	semidirect
417. #13133190	C₂³	semidirect
418. #13133190	C₂³	semidirect
419. #13133190	C₂³	semidirect
428. #13133189	C₂³	semidirect
429. #13133189	C₂³	semidirect
430. #13133189	C₂³	semidirect
431. #13133189	C₂³	semidirect
432. #13133189	C₂³	semidirect
433. #13133188	C₂³	semidirect
434. #13133188	C₂³	semidirect
443. #13133187	C₂³	semidirect
445. #13133186	C₂³	semidirect
453. #13133185	C₂³	semidirect
454. #13133185	C₂³	semidirect
455. Q₈×Dic₅₃	C₂³	semidirect
456. C₄×Dic₁₀₆	C₂³	semidirect
457. C₄×Dic₁₀₆	C₂³	semidirect
458. C₄×Dic₁₀₆	C₂³	semidirect
459. #13133182	C₂³	semidirect
460. #13133182	C₂³	semidirect
461. #13133182	C₂³	semidirect
462. #13133182	C₂³	semidirect
463. #13133182	C₂³	semidirect
466. C₄×D₂₁₂	C₂³	semidirect
467. C₄×D₂₁₂	C₂³	semidirect
468. C₄×D₂₁₂	C₂³	semidirect
469. C₄×D₂₁₂	C₂³	semidirect
470. C₄×D₂₁₂	C₂³	semidirect
475. D₄×Dic₅₃	C₂³	semidirect
476. D₄×Dic₅₃	C₂³	semidirect
477. D₄×Dic₅₃	C₂³	semidirect
478. D₄×Dic₅₃	C₂³	semidirect
483. #13133179	C₂³	semidirect
484. #13133179	C₂³	semidirect
485. #13133179	C₂³	semidirect
496. C₄×C₂²⋊D₅₃	C₂³	semidirect
497. C₄×C₂²⋊D₅₃	C₂³	semidirect
498. C₄×C₂²⋊D₅₃	C₂³	semidirect
499. C₄×C₂²⋊D₅₃	C₂³	semidirect
500. C₄×C₂²⋊D₅₃	C₂³	semidirect
501. C₄×C₂²⋊D₅₃	C₂³	semidirect
502. C₄×C₂²⋊D₅₃	C₂³	semidirect
513. #13133177	C₂³	semidirect
514. #13133177	C₂³	semidirect
515. #13133177	C₂³	semidirect
516. #13133177	C₂³	semidirect
517. #13133177	C₂³	semidirect
518. #13133177	C₂³	semidirect
519. #13133177	C₂³	semidirect
520. #13133177	C₂³	semidirect
521. #13133177	C₂³	semidirect
522. #13133177	C₂³	semidirect
523. #13133177	C₂³	semidirect
524. #13133176	C₂³	semidirect
527. #13133175	C₂³	semidirect
528. #13133175	C₂³	semidirect
529. #13133175	C₂³	semidirect
532. #13133174	C₂³	semidirect
533. #13133174	C₂³	semidirect
534. #13133174	C₂³	semidirect
535. #13133174	C₂³	semidirect
536. #13133174	C₂³	semidirect
538. #13133173	C₂³	semidirect
539. #13133173	C₂³	semidirect
540. #13133173	C₂³	semidirect
541. #13133173	C₂³	semidirect
542. #13133173	C₂³	semidirect
544. C₂×C₄⋊Dic₅₃	C₂³	semidirect
545. C₂×C₄⋊Dic₅₃	C₂³	semidirect
546. C₂×C₄⋊Dic₅₃	C₂³	semidirect
549. C₂×#11719919	C₂³	semidirect
550. C₂×#11719919	C₂³	semidirect
551. C₂×#11719919	C₂³	semidirect
552. C₄⋊C₄×D₅₃	C₂³	semidirect
553. C₄⋊C₄×D₅₃	C₂³	semidirect
554. C₄⋊C₄×D₅₃	C₂³	semidirect
555. C₄⋊C₄×D₅₃	C₂³	semidirect
556. C₄⋊C₄×D₅₃	C₂³	semidirect
560. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
579. C₂×#11719921	C₂³	semidirect
580. C₂×#11719921	C₂³	semidirect
581. C₂×#11719921	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
596. C₂×C₄×Dic₅₃	C₂³	semidirect
597. C₂×C₄×Dic₅₃	C₂³	semidirect
598. C₂×C₄×Dic₅₃	C₂³	semidirect
599. C₄²×D₅₃	C₂³	semidirect
600. C₄²×D₅₃	C₂³	semidirect
601. C₂×#41×C₅₃	C₂³	semidirect
602. C₂²×Q₈×C₅₃	C₂³	semidirect
605. C₂²×D₄×C₅₃	C₂³	semidirect
608. #126×C₅₃	C₂³	semidirect
609. #126×C₅₃	C₂³	semidirect
610. #126×C₅₃	C₂³	semidirect
611. #125×C₅₃	C₂³	semidirect
612. #125×C₅₃	C₂³	semidirect
613. #124×C₅₃	C₂³	semidirect
614. #124×C₅₃	C₂³	semidirect
617. #123×C₅₃	C₂³	semidirect
618. #123×C₅₃	C₂³	semidirect
619. #123×C₅₃	C₂³	semidirect
622. C₂²⋊Q₈×C₅₃	C₂³	semidirect
623. C₂²⋊Q₈×C₅₃	C₂³	semidirect
624. C₂²⋊Q₈×C₅₃	C₂³	semidirect
625. C₂²⋊Q₈×C₅₃	C₂³	semidirect
630. #121×C₅₃	C₂³	semidirect
631. #121×C₅₃	C₂³	semidirect
632. #121×C₅₃	C₂³	semidirect
633. #121×C₅₃	C₂³	semidirect
636. C₄×Q₈×C₅₃	C₂³	semidirect
643. C₄×D₄×C₅₃	C₂³	semidirect
644. C₄×D₄×C₅₃	C₂³	semidirect
645. C₄×D₄×C₅₃	C₂³	semidirect
646. C₄×D₄×C₅₃	C₂³	semidirect
647. #117×C₅₃	C₂³	semidirect
648. #117×C₅₃	C₂³	semidirect
649. #117×C₅₃	C₂³	semidirect
651. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
652. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
653. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
657. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
658. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
715. C₂×C₂²⋊D₅₃	#41	semidirect
1129. #3505	D₅₃	semidirect
1180. #553	C₂×D₅₃	semidirect
1181. #553	C₂×D₅₃	semidirect
1186. #552	C₂×D₅₃	semidirect
1198. #551	C₂×D₅₃	semidirect
1204. #548	C₂×D₅₃	semidirect
1224. #546	C₂×D₅₃	semidirect
1248. #539	C₂×D₅₃	semidirect
1273. #538	C₂×D₅₃	semidirect
1280. #534	C₂×D₅₃	semidirect
1297. #529	C₂×D₅₃	semidirect
1313. #525	C₂×D₅₃	semidirect
1319. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1325. C₂×#121	C₂×D₅₃	semidirect
1341. #518	C₂×D₅₃	semidirect
1357. C₂×C₄×D₄	C₂×D₅₃	semidirect
1364. C₅₃	#62846	semidirect
1375. C₂×#41	C₂²×D₅₃	semidirect
1378. C₂²×Q₈	C₂²×D₅₃	semidirect
1399. C₂²×D₄	C₂²×D₅₃	semidirect
1441. #126	C₂²×D₅₃	semidirect
1442. #126	C₂²×D₅₃	semidirect
1443. #126	C₂²×D₅₃	semidirect
1452. #125	C₂²×D₅₃	semidirect
1453. #125	C₂²×D₅₃	semidirect
1474. #124	C₂²×D₅₃	semidirect
1475. #124	C₂²×D₅₃	semidirect
1511. #123	C₂²×D₅₃	semidirect
1512. #123	C₂²×D₅₃	semidirect
1513. #123	C₂²×D₅₃	semidirect
1544. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1545. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1546. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1547. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1594. #121	C₂²×D₅₃	semidirect
1595. #121	C₂²×D₅₃	semidirect
1596. #121	C₂²×D₅₃	semidirect
1597. #121	C₂²×D₅₃	semidirect
1629. C₄×Q₈	C₂²×D₅₃	semidirect
1696. C₄×D₄	C₂²×D₅₃	semidirect
1697. C₄×D₄	C₂²×D₅₃	semidirect
1698. C₄×D₄	C₂²×D₅₃	semidirect
1699. C₄×D₄	C₂²×D₅₃	semidirect
1719. #117	C₂²×D₅₃	semidirect
1720. #117	C₂²×D₅₃	semidirect
1721. #117	C₂²×D₅₃	semidirect
1737. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1738. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1739. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1779. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1780. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20288774	2
#20288770	2
#20288740	2
#20288736	2
#20288669	2
#20288665	2
#20288646	2
#20288642	2
#20288562	2
#20288554	2
#20288547	2
#20288511	2
#20288472	2
#20288427	2
#20288400	2
#20288398	2
#20288347	2
#20288133	2
#20288125	2
#20288121	2
#20288101	2
C₂×#16811213	2
C₂×#16811210	2
#538×D₅₃	2
#20287919	2
C₂×#16811095	2
C₅₃×#3505	2
#62846	53