Subgroups — #28266845

Order 13568.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288659	C₂	1	1	yes	maximal, characteristic, complemented
2	#20287799	C₂	1	1	yes	maximal, characteristic, complemented
3	#20287669	C₂	1	1	yes	maximal, characteristic, complemented
4	#20287375	C₂	1	1	yes	maximal, characteristic, complemented
5	#20287371	C₂	1	1	yes	maximal, characteristic, complemented
6	#20287315	C₂	1	1	yes	maximal, characteristic, complemented
7	#20287155	C₂	1	1	yes	maximal, characteristic, complemented
8	#20287149	C₂	1	1	yes	maximal, characteristic, complemented
9	#20286565	C₂	1	1	yes	maximal, characteristic, complemented
10	#20286559	C₂	1	1	yes	maximal, characteristic, complemented
11	#20286550	C₂	1	1	yes	maximal, characteristic, complemented
12	#20286544	C₂	1	1	yes	maximal, characteristic, complemented
13	#20286528	C₂	1	1	yes	maximal, characteristic, complemented
14	#20286522	C₂	1	1	yes	maximal, characteristic, complemented
15	#20286322	C₂	1	1	yes	maximal, characteristic, complemented
16	#20286196	C₂	1	1	yes	maximal, characteristic, complemented
17	#20286191	C₂	1	1	yes	maximal, characteristic, complemented
18	#20285400	C₂	1	1	yes	maximal, characteristic, complemented
19	#20285392	C₂	1	1	yes	maximal, characteristic, complemented
20	#20285279	C₂	1	1	yes	maximal, characteristic, complemented
21	#20284977	C₂	1	1	yes	maximal, characteristic, complemented
22	#20284971	C₂	1	1	yes	maximal, characteristic, complemented
23	#20284958	C₂	1	1	yes	maximal, characteristic, complemented
24	#20284953	C₂	1	1	yes	maximal, characteristic, complemented
25	#20284853	C₂	1	1	yes	maximal, characteristic, complemented
26	#20284849	C₂	1	1	yes	maximal, characteristic, complemented
27	#20283691	C₂	1	1	yes	maximal, characteristic, complemented
28	#20283547	C₂	1	1	yes	maximal, characteristic, complemented
29	#20283543	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₄×#11719922	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#3513	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13133243	C₂²	1	1	yes	characteristic
33	C₂×#13133242	C₂²	1	1	yes	characteristic
34	C₂²×#11719922	C₂²	1	1	yes	characteristic
35	#16811358	C₂²	1	1	yes	characteristic, complemented
36	#16811333	C₂²	1	1	yes	characteristic, complemented
37	#16811324	—	2	1	no	—
38	#16811319	C₂²	1	1	yes	characteristic, complemented
39	#16811313	C₂²	1	1	yes	characteristic, complemented
40	#16811300	—	2	1	no	—
41	#16811298	—	2	1	no	—
42	#16811277	C₂²	1	1	yes	characteristic
43	#16811269	C₂²	1	1	yes	characteristic
44	#16811269	C₂²	1	1	yes	characteristic, complemented
45	#16811262	—	2	1	no	—
46	D₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
47	#16811244	C₂²	1	1	yes	characteristic, complemented
48	#16811228	C₂²	1	1	yes	characteristic, complemented
49	#16811221	—	2	1	no	—
50	#16811207	—	2	1	no	—
51	#16811157	C₂²	1	1	yes	characteristic, complemented
52	#16811131	—	2	1	no	—
53	#123×D₅₃	—	2	1	no	—
54	#16811103	C₂²	1	1	yes	characteristic, complemented
55	#16811097	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
57	#16811033	C₂²	1	1	yes	characteristic, complemented
58	#16811029	C₂²	1	1	yes	characteristic, complemented
59	#16811022	C₂²	1	1	yes	characteristic, complemented
60	#16811013	C₂²	1	1	yes	characteristic, complemented
61	#16811010	C₂²	1	1	yes	characteristic, complemented
62	#16811005	C₂²	1	1	yes	characteristic, complemented
63	#16810980	C₂²	1	1	yes	characteristic, complemented
64	#16810980	C₂²	1	1	yes	characteristic, complemented
65	#16810977	C₂²	1	1	yes	characteristic, complemented
66	#16810977	C₂²	1	1	yes	characteristic, complemented
67	#16810971	C₂²	1	1	yes	characteristic, complemented
68	#16810969	C₂²	1	1	yes	characteristic, complemented
69	#16810958	C₂²	1	1	yes	characteristic, complemented
70	#16810956	C₂²	1	1	yes	characteristic, complemented
71	#16810953	C₂²	1	1	yes	characteristic, complemented
72	#16810951	C₂²	1	1	yes	characteristic, complemented
73	#16810947	C₂²	1	1	yes	characteristic, complemented
74	#16810947	C₂²	1	1	yes	characteristic, complemented
75	#16810944	C₂²	1	1	yes	characteristic, complemented
76	#16810944	C₂²	1	1	yes	characteristic, complemented
77	#16810936	C₂²	1	1	yes	characteristic, complemented
78	#16810936	C₂²	1	1	yes	characteristic, complemented
79	#16810934	C₂²	1	1	yes	characteristic, complemented
80	#16810934	C₂²	1	1	yes	characteristic, complemented
81	#16810923	C₂²	1	1	yes	characteristic, complemented
82	#16810923	C₂²	1	1	yes	characteristic, complemented
83	#16810923	C₂²	1	1	yes	characteristic, complemented
84	#16810923	C₂²	1	1	yes	characteristic, complemented
85	#16810920	C₂²	1	1	yes	characteristic, complemented
86	#16810920	C₂²	1	1	yes	characteristic, complemented
87	#16810920	C₂²	1	1	yes	characteristic, complemented
88	#16810920	C₂²	1	1	yes	characteristic, complemented
89	#16810918	C₂²	1	1	yes	characteristic, complemented
90	#16810915	C₂²	1	1	yes	characteristic, complemented
91	#16810903	C₂²	1	1	yes	characteristic, complemented
92	#16810900	C₂²	1	1	yes	characteristic, complemented
93	#16810874	C₂²	1	1	yes	characteristic, complemented
94	#16810874	C₂²	1	1	yes	characteristic, complemented
95	#16810871	C₂²	1	1	yes	characteristic, complemented
96	#16810867	C₂²	1	1	yes	characteristic, complemented
97	#16810862	C₂²	1	1	yes	characteristic, complemented
98	#16810857	C₂²	1	1	yes	characteristic
99	#16810857	C₂²	1	1	yes	characteristic, complemented
100	#16810857	C₂²	1	1	yes	characteristic, complemented
101	#16810854	C₂²	1	1	yes	characteristic, complemented
102	#16810854	C₂²	1	1	yes	characteristic, complemented
103	#16810850	C₂²	1	1	yes	characteristic, complemented
104	#16810850	C₂²	1	1	yes	characteristic, complemented
105	#16810845	C₂²	1	1	yes	characteristic, complemented
106	#16810842	C₂²	1	1	yes	characteristic, complemented
107	#16810838	C₂²	1	1	yes	characteristic, complemented
108	#16810838	C₂²	1	1	yes	characteristic, complemented
109	#16810838	C₂²	1	1	yes	characteristic, complemented
110	#16810835	C₂²	1	1	yes	characteristic, complemented
111	#16810835	C₂²	1	1	yes	characteristic, complemented
112	#16810835	C₂²	1	1	yes	characteristic, complemented
113	#16810818	C₂²	1	1	yes	characteristic
114	#16810818	C₂²	1	1	yes	characteristic, complemented
115	#16810815	C₂²	1	1	yes	characteristic
116	#16810815	C₂²	1	1	yes	characteristic, complemented
117	#16810785	C₂²	1	1	yes	characteristic, complemented
118	#16810783	C₂²	1	1	yes	characteristic, complemented
119	#16810774	C₂²	1	1	yes	characteristic, complemented
120	#16810773	C₂²	1	1	yes	characteristic, complemented
121	#16810768	C₂²	1	1	yes	characteristic
122	#16810766	C₂²	1	1	yes	characteristic
123	#16810757	C₂²	1	1	yes	characteristic
124	#16810757	C₂²	1	1	yes	characteristic, complemented
125	#16810757	C₂²	1	1	yes	characteristic, complemented
126	#16810756	C₂²	1	1	yes	characteristic
127	#16810756	C₂²	1	1	yes	characteristic, complemented
128	#16810756	C₂²	1	1	yes	characteristic, complemented
129	#16810754	C₂²	1	1	yes	characteristic, complemented
130	Q₈×#88322	C₂²	1	1	yes	characteristic, complemented
131	#16810733	C₂²	1	1	yes	characteristic
132	#16810733	C₂²	1	1	yes	characteristic
133	#16810733	C₂²	1	1	yes	characteristic, complemented
134	#16810733	C₂²	1	1	yes	characteristic, complemented
135	#16810733	C₂²	1	1	yes	characteristic, complemented
136	#16810733	C₂²	1	1	yes	characteristic, complemented
137	#16810723	C₂²	1	1	yes	characteristic, complemented
138	#16810723	C₂²	1	1	yes	characteristic, complemented
139	#16810723	C₂²	1	1	yes	characteristic, complemented
140	#16810721	C₂²	1	1	yes	characteristic, complemented
141	#16810721	C₂²	1	1	yes	characteristic, complemented
142	#16810721	C₂²	1	1	yes	characteristic, complemented
143	C₄×#11719925	C₂²	1	1	yes	characteristic, complemented
144	C₄×#11719924	C₂²	1	1	yes	characteristic, complemented
145	C₄×#11719924	C₂²	1	1	yes	characteristic, complemented
146	C₄×#11719923	C₂²	1	1	yes	characteristic, complemented
147	C₄×#11719923	C₂²	1	1	yes	characteristic, complemented
148	C₄×#11719922	C₂²	1	1	yes	characteristic
149	C₄×#11719922	C₂²	1	1	yes	characteristic
150	C₄×#11719922	C₂²	1	1	yes	characteristic, complemented
151	C₄×#11719922	C₂²	1	1	yes	characteristic, complemented
152	C₄×#11719922	C₂²	1	1	yes	characteristic, complemented
153	C₄×#11719922	C₂²	1	1	yes	characteristic, complemented
154	C₄×#11719922	C₂²	1	1	yes	characteristic, complemented
155	C₄×#11719922	C₂²	1	1	yes	characteristic, complemented
156	C₄×#11719922	C₂²	1	1	yes	characteristic, complemented
157	C₄×#11719922	C₂²	1	1	yes	characteristic, complemented
158	C₄×#11719922	C₂²	1	1	yes	characteristic, complemented
159	#16810701	C₂²	1	1	yes	characteristic, complemented
160	#16810695	C₂²	1	1	yes	characteristic, complemented
161	#16810695	C₂²	1	1	yes	characteristic, complemented
162	D₄×#88322	C₂²	1	1	yes	characteristic, complemented
163	D₄×#88322	C₂²	1	1	yes	characteristic, complemented
164	D₄×#88322	C₂²	1	1	yes	characteristic, complemented
165	#16810684	C₂²	1	1	yes	characteristic, complemented
166	#16810684	C₂²	1	1	yes	characteristic, complemented
167	#16810680	C₂²	1	1	yes	characteristic, complemented
168	#16810666	C₂²	1	1	yes	characteristic, complemented
169	#16810663	C₂²	1	1	yes	characteristic, complemented
170	C₂×#13133150	C₂²	1	1	yes	characteristic, complemented
171	#16810619	C₂²	1	1	yes	characteristic, complemented
172	#16810617	C₂²	1	1	yes	characteristic, complemented
173	C₂×#13133138	C₂²	1	1	yes	characteristic, complemented
174	C₂×#13133138	C₂²	1	1	yes	characteristic, complemented
175	C₂×#13133137	C₂²	1	1	yes	characteristic, complemented
176	C₂×#13133137	C₂²	1	1	yes	characteristic, complemented
177	#16810579	C₂²	1	1	yes	characteristic, complemented
178	#16810579	C₂²	1	1	yes	characteristic, complemented
179	C₂×C₄×#88322	C₂²	1	1	yes	characteristic, complemented
180	C₅₃×#559	C₂²	1	1	yes	characteristic, complemented
181	C₅₃×#554	C₂²	1	1	yes	characteristic, complemented
182	C₅₃×#553	—	2	1	no	—
183	C₅₃×#553	C₂²	1	1	yes	characteristic, complemented
184	C₅₃×#552	C₂²	1	1	yes	characteristic, complemented
185	C₅₃×#551	—	2	1	no	—
186	C₅₃×#551	—	2	1	no	—
187	C₅₃×#547	C₂²	1	1	yes	characteristic
188	C₅₃×#546	—	2	1	no	—
189	C₅₃×#546	C₂²	1	1	yes	characteristic
190	C₅₃×#546	C₂²	1	1	yes	characteristic, complemented
191	D₄²×C₅₃	C₂²	1	1	yes	characteristic, complemented
192	C₅₃×#542	C₂²	1	1	yes	characteristic, complemented
193	C₅₃×#540	C₂²	1	1	yes	characteristic, complemented
194	C₅₃×#539	—	2	1	no	—
195	C₅₃×#538	—	2	1	no	—
196	C₅₃×#529	C₂²	1	1	yes	characteristic
197	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
198	C₅₃×#525	—	2	1	no	—
199	C₂×#123×C₅₃	—	2	1	no	—
200	C₅₃×#520	C₂²	1	1	yes	characteristic, complemented
201	C₅₃×#518	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
203	C₂×#11719945	C₂³	1	1	yes	characteristic
204	C₂×#11719947	—	2	1	no	—
205	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
206	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₅₃	—	2	1	no	—
208	C₂²×C₄×D₅₃	—	2	1	no	—
209	#13133243	—	2	4	no	—
210	#13133242	—	2	4	no	—
211	C₂×#11719925	C₂³	1	1	yes	characteristic
212	C₂×#11719923	C₂³	1	1	yes	characteristic
213	C₂×#11719923	C₂³	1	1	yes	characteristic
214	C₂×#11719923	C₂³	1	1	yes	characteristic
215	C₂×#11719924	C₂³	1	1	yes	characteristic
216	C₂×#11719924	C₂³	1	1	yes	characteristic
217	C₂×#11719924	C₂³	1	1	yes	characteristic
218	C₂×#11719922	—	2	4	no	—
219	C₂×#11719922	C₂³	1	1	yes	characteristic
220	C₂×#11719922	C₂³	1	1	yes	characteristic
221	C₂×#11719922	C₂³	1	1	yes	characteristic
222	C₂×#11719922	C₂³	1	1	yes	characteristic
223	C₂×#11719922	C₂³	1	1	yes	characteristic
224	C₂×#11719922	C₂³	1	1	yes	characteristic
225	C₂×#11719922	C₂³	1	1	yes	characteristic
226	C₂×#11719922	C₂³	1	1	yes	characteristic
227	C₂×#11719922	C₂³	1	1	yes	characteristic
228	C₂×#11719917	C₂³	1	1	yes	characteristic
229	C₂×#11719917	C₂³	1	1	yes	characteristic
230	C₂²×#88322	C₂³	1	1	yes	characteristic
231	C₂²×#88322	C₂³	1	1	yes	characteristic
232	C₂²×#88322	C₂³	1	1	yes	characteristic
233	C₂²×#88322	C₂³	1	1	yes	characteristic
234	#13133217	C₂³	1	1	yes	characteristic
235	#13133214	C₂³	1	1	yes	characteristic
236	#13133212	—	2	1	no	—
237	#13133212	—	2	1	no	—
238	#13133211	—	2	1	no	—
239	#13133210	—	2	1	no	—
240	#13133209	C₂³	1	1	yes	characteristic
241	#13133209	C₂³	1	1	yes	characteristic
242	#13133207	—	2	1	no	—
243	#13133206	—	2	1	no	—
244	#13133205	C₂³	1	1	yes	characteristic
245	#13133205	C₂³	1	1	yes	characteristic
246	#13133203	—	2	1	no	—
247	#13133202	—	2	1	no	—
248	#13133202	—	2	1	no	—
249	#13133202	—	2	1	no	—
250	#13133202	—	2	1	no	—
251	#13133202	—	2	1	no	—
252	#13133202	—	2	1	no	—
253	#13133201	—	2	1	no	—
254	#13133201	—	2	1	no	—
255	#13133200	—	2	1	no	—
256	#13133199	—	2	1	no	—
257	#13133199	—	2	1	no	—
258	#13133198	—	2	1	no	—
259	#13133197	—	2	1	no	—
260	#13133196	C₂³	1	1	yes	characteristic
261	#13133196	C₂³	1	1	yes	characteristic
262	#13133195	—	2	1	no	—
263	#13133195	—	2	1	no	—
264	#13133195	—	2	1	no	—
265	#13133193	—	2	1	no	—
266	#13133192	—	2	1	no	—
267	#13133191	C₂³	1	1	yes	characteristic
268	#13133191	C₂³	1	1	yes	characteristic
269	#13133191	C₂³	1	1	yes	characteristic
270	#13133191	C₂³	1	1	yes	characteristic
271	#13133190	—	2	1	no	—
272	#13133190	—	2	1	no	—
273	#13133190	—	2	1	no	—
274	#13133190	—	2	1	no	—
275	#13133189	—	2	1	no	—
276	#13133187	—	2	1	no	—
277	#13133187	—	2	1	no	—
278	#13133185	—	2	1	no	—
279	#13133185	—	2	1	no	—
280	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
281	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
282	C₄×D₂₁₂	—	2	1	no	—
283	C₄×D₂₁₂	—	2	1	no	—
284	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
285	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
286	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
287	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
288	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
289	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
290	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
291	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
292	#13133179	—	2	1	no	—
293	#13133179	—	2	1	no	—
294	#13133179	—	2	1	no	—
295	C₄×C₂²⋊D₅₃	—	2	1	no	—
296	#13133177	—	2	1	no	—
297	#13133177	—	2	1	no	—
298	#13133177	—	2	1	no	—
299	#13133176	C₂³	1	1	yes	characteristic
300	#13133175	—	2	1	no	—
301	#13133174	—	2	1	no	—
302	#13133173	—	2	1	no	—
303	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
305	C₄⋊C₄×D₅₃	—	2	1	no	—
306	C₄⋊C₄×D₅₃	—	2	1	no	—
307	C₂×#11719921	—	2	1	no	—
308	C₂²⋊C₄×D₅₃	—	2	1	no	—
309	C₂²⋊C₄×D₅₃	—	2	1	no	—
310	C₂²⋊C₄×D₅₃	—	2	1	no	—
311	C₂²⋊C₄×D₅₃	—	2	1	no	—
312	#13133150	C₂³	1	1	yes	characteristic
313	#13133150	C₂³	1	1	yes	characteristic
314	#13133150	C₂³	1	1	yes	characteristic
315	#13133150	C₂³	1	1	yes	characteristic
316	#13133150	C₂³	1	1	yes	characteristic
317	#13133150	C₂³	1	1	yes	characteristic
318	#13133150	C₂³	1	1	yes	characteristic
319	#13133150	C₂³	1	1	yes	characteristic
320	#13133150	C₂³	1	1	yes	characteristic
321	#13133150	C₂³	1	1	yes	characteristic
322	#13133148	C₂³	1	1	yes	characteristic
323	#13133148	C₂³	1	1	yes	characteristic
324	#13133148	C₂³	1	1	yes	characteristic
325	#13133148	C₂³	1	1	yes	characteristic
326	#13133148	C₂³	1	1	yes	characteristic
327	#13133148	C₂³	1	1	yes	characteristic
328	C₄⋊#88322	C₂³	1	1	yes	characteristic
329	C₄⋊#88322	C₂³	1	1	yes	characteristic
330	C₄⋊#88322	C₂³	1	1	yes	characteristic
331	C₄⋊#88322	C₂³	1	1	yes	characteristic
332	C₄⋊#88322	C₂³	1	1	yes	characteristic
333	C₄⋊#88322	C₂³	1	1	yes	characteristic
334	#13133141	C₂³	1	1	yes	characteristic
335	#13133141	C₂³	1	1	yes	characteristic
336	#13133141	C₂³	1	1	yes	characteristic
337	#13133141	C₂³	1	1	yes	characteristic
338	#13133140	C₂³	1	1	yes	characteristic
339	#13133140	C₂³	1	1	yes	characteristic
340	#13133140	C₂³	1	1	yes	characteristic
341	#13133140	C₂³	1	1	yes	characteristic
342	#13133138	C₂³	1	1	yes	characteristic
343	#13133138	C₂³	1	1	yes	characteristic
344	#13133138	C₂³	1	1	yes	characteristic
345	#13133138	C₂³	1	1	yes	characteristic
346	#13133138	C₂³	1	1	yes	characteristic
347	#13133138	C₂³	1	1	yes	characteristic
348	#13133138	C₂³	1	1	yes	characteristic
349	#13133138	C₂³	1	1	yes	characteristic
350	#13133138	C₂³	1	1	yes	characteristic
351	#13133138	C₂³	1	1	yes	characteristic
352	#13133138	C₂³	1	1	yes	characteristic
353	#13133138	C₂³	1	1	yes	characteristic
354	#13133137	C₂³	1	1	yes	characteristic
355	#13133137	C₂³	1	1	yes	characteristic
356	#13133137	C₂³	1	1	yes	characteristic
357	#13133137	C₂³	1	1	yes	characteristic
358	#13133137	C₂³	1	1	yes	characteristic
359	#13133137	C₂³	1	1	yes	characteristic
360	#13133137	C₂³	1	1	yes	characteristic
361	#13133137	C₂³	1	1	yes	characteristic
362	#13133137	C₂³	1	1	yes	characteristic
363	#13133137	C₂³	1	1	yes	characteristic
364	#13133137	C₂³	1	1	yes	characteristic
365	#13133137	C₂³	1	1	yes	characteristic
366	C₂²⋊#88322	C₂³	1	1	yes	characteristic
367	C₂²⋊#88322	C₂³	1	1	yes	characteristic
368	C₂²⋊#88322	C₂³	1	1	yes	characteristic
369	C₂²⋊#88322	C₂³	1	1	yes	characteristic
370	C₂²⋊#88322	C₂³	1	1	yes	characteristic
371	C₂²⋊#88322	C₂³	1	1	yes	characteristic
372	#13133128	C₂³	1	1	yes	characteristic
373	#13133128	C₂³	1	1	yes	characteristic
374	#13133128	C₂³	1	1	yes	characteristic
375	#13133128	C₂³	1	1	yes	characteristic
376	C₄×#88322	C₂³	1	1	yes	characteristic
377	C₄×#88322	C₂³	1	1	yes	characteristic
378	C₄×#88322	C₂³	1	1	yes	characteristic
379	C₄×#88322	C₂³	1	1	yes	characteristic
380	C₄×#88322	C₂³	1	1	yes	characteristic
381	C₄×#88322	C₂³	1	1	yes	characteristic
382	C₂×#41×C₅₃	—	2	1	no	—
383	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
384	C₂²×D₄×C₅₃	—	2	1	no	—
385	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
386	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
387	C₂³×C₄×C₅₃	—	2	1	no	—
388	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
389	#127×C₅₃	C₂³	1	1	yes	characteristic
390	#126×C₅₃	—	2	1	no	—
391	#126×C₅₃	—	2	1	no	—
392	#126×C₅₃	—	2	1	no	—
393	#126×C₅₃	—	2	1	no	—
394	#126×C₅₃	D₄	1	1	yes	characteristic
395	#126×C₅₃	D₄	1	1	yes	characteristic
396	#125×C₅₃	—	2	1	no	—
397	#125×C₅₃	D₄	1	1	yes	characteristic
398	#125×C₅₃	C₂³	1	1	yes	characteristic
399	#125×C₅₃	C₂³	1	1	yes	characteristic
400	#124×C₅₃	—	2	1	no	—
401	#124×C₅₃	—	2	1	no	—
402	#124×C₅₃	D₄	1	1	yes	characteristic
403	#124×C₅₃	C₂³	1	1	yes	characteristic
404	#124×C₅₃	C₂³	1	1	yes	characteristic
405	#123×C₅₃	—	2	1	no	—
406	#123×C₅₃	—	2	1	no	—
407	#123×C₅₃	—	2	1	no	—
408	#123×C₅₃	—	2	1	no	—
409	#123×C₅₃	—	2	1	no	—
410	#123×C₅₃	—	2	1	no	—
411	#123×C₅₃	—	2	1	no	—
412	#123×C₅₃	—	2	1	no	—
413	#123×C₅₃	—	2	1	no	—
414	#123×C₅₃	—	2	1	no	—
415	#123×C₅₃	—	2	1	no	—
416	#123×C₅₃	—	2	1	no	—
417	#123×C₅₃	D₄	1	1	yes	characteristic
418	#123×C₅₃	D₄	1	1	yes	characteristic
419	C₂²⋊Q₈×C₅₃	—	2	1	no	—
420	C₂²⋊Q₈×C₅₃	—	2	1	no	—
421	C₂²⋊Q₈×C₅₃	—	2	1	no	—
422	C₂²⋊Q₈×C₅₃	—	2	1	no	—
423	C₂²⋊Q₈×C₅₃	—	2	1	no	—
424	C₂²⋊Q₈×C₅₃	D₄	1	1	yes	characteristic
425	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
426	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
427	#121×C₅₃	—	2	1	no	—
428	#121×C₅₃	—	2	1	no	—
429	#121×C₅₃	—	2	1	no	—
430	#121×C₅₃	—	2	1	no	—
431	#121×C₅₃	—	2	1	no	—
432	#121×C₅₃	—	2	1	no	—
433	#121×C₅₃	D₄	1	1	yes	characteristic
434	#121×C₅₃	C₂³	1	1	yes	characteristic
435	#121×C₅₃	C₂³	1	1	yes	characteristic
436	#121×C₅₃	C₂³	1	1	yes	characteristic
437	#121×C₅₃	C₂³	1	1	yes	characteristic
438	#120×C₅₃	—	2	1	no	—
439	#120×C₅₃	—	2	1	no	—
440	#120×C₅₃	—	2	1	no	—
441	#120×C₅₃	—	2	1	no	—
442	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
443	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
444	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
445	C₄×D₄×C₅₃	—	2	1	no	—
446	C₄×D₄×C₅₃	—	2	1	no	—
447	C₄×D₄×C₅₃	—	2	1	no	—
448	C₄×D₄×C₅₃	—	2	1	no	—
449	C₄×D₄×C₅₃	—	2	1	no	—
450	C₄×D₄×C₅₃	—	2	1	no	—
451	C₄×D₄×C₅₃	—	2	1	no	—
452	C₄×D₄×C₅₃	—	2	1	no	—
453	C₄×D₄×C₅₃	—	2	1	no	—
454	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
455	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
456	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
457	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
458	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
459	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
460	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
461	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
462	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
463	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
464	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
465	#117×C₅₃	—	2	1	no	—
466	#117×C₅₃	—	2	1	no	—
467	#117×C₅₃	—	2	1	no	—
468	#117×C₅₃	C₂³	1	1	yes	characteristic
469	#117×C₅₃	C₂³	1	1	yes	characteristic
470	#117×C₅₃	C₂³	1	1	yes	characteristic
471	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
472	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
473	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
474	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
475	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
476	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
477	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
478	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
479	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
480	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
481	C₂⁴×C₅₃	—	2	1	no	—
482	C₂⁴×C₅₃	—	2	1	no	—
483	C₂³×D₅₃	—	2	1	no	—
484	C₂³×D₅₃	—	2	1	no	—
485	#41×C₅₃	—	2	2	no	—
486	#41×C₅₃	—	4	1	no	—
487	#41×C₅₃	—	8	2	no	—
488	C₂×Q₈×C₅₃	—	2	1	no	—
489	C₂×Q₈×C₅₃	C₂×D₄	1	1	yes	characteristic
490	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
491	C₂×D₄×C₅₃	—	2	2	no	—
492	C₂×D₄×C₅₃	—	2	2	no	—
493	C₂×D₄×C₅₃	—	2	1	no	—
494	C₂×D₄×C₅₃	—	2	1	no	—
495	C₂×D₄×C₅₃	—	2	1	no	—
496	C₂×D₄×C₅₃	—	2	1	no	—
497	C₂×D₄×C₅₃	—	2	1	no	—
498	C₂×D₄×C₅₃	—	2	1	no	—
499	C₂×D₄×C₅₃	—	2	1	no	—
500	C₂×D₄×C₅₃	—	2	1	no	—
501	C₂×D₄×C₅₃	—	2	1	no	—
502	C₂×D₄×C₅₃	—	4	1	no	—
503	C₂×D₄×C₅₃	—	4	1	no	—
504	C₂×D₄×C₅₃	—	8	2	no	—
505	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
506	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
507	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
508	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₅₃	—	2	1	no	—
512	C₂²×C₄×C₅₃	—	2	1	no	—
513	C₂²×C₄×C₅₃	—	2	1	no	—
514	C₂²×C₄×C₅₃	—	2	1	no	—
515	C₂²×C₄×C₅₃	—	2	1	no	—
516	C₂²×C₄×C₅₃	—	2	1	no	—
517	C₂²×C₄×C₅₃	—	2	1	no	—
518	C₂²×C₄×C₅₃	—	2	1	no	—
519	C₂²×C₄×C₅₃	—	2	1	no	—
520	C₂²×C₄×C₅₃	—	2	1	no	—
521	C₂²×C₄×C₅₃	—	2	1	no	—
522	C₂²×C₄×C₅₃	—	8	2	no	—
523	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
524	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
525	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
528	C₂×C₂²⋊D₅₃	—	2	1	no	—
529	C₂×C₂²⋊D₅₃	—	2	1	no	—
530	C₂×C₂²⋊D₅₃	—	2	1	no	—
531	C₂×C₂²⋊D₅₃	—	2	1	no	—
532	C₂×C₂²⋊D₅₃	—	2	1	no	—
533	C₂²×Dic₅₃	—	2	1	no	—
534	C₂²×Dic₅₃	—	2	1	no	—
535	#11719947	—	8	2	no	—
536	D₄×D₅₃	—	8	2	no	—
537	#11719945	—	2	2	no	—
538	#11719945	—	4	1	no	—
539	C₂×D₂₁₂	—	2	2	no	—
540	C₂×D₂₁₂	—	2	2	no	—
541	C₂×D₂₁₂	—	2	1	no	—
542	C₂×D₂₁₂	—	2	1	no	—
543	C₂×D₂₁₂	—	2	1	no	—
544	C₂×D₂₁₂	—	2	1	no	—
545	C₂×D₂₁₂	—	4	1	no	—
546	C₂×D₂₁₂	—	4	1	no	—
547	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
548	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
549	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
550	C₂×C₄×D₅₃	—	2	1	no	—
551	C₂×C₄×D₅₃	—	2	1	no	—
552	C₂×C₄×D₅₃	—	2	1	no	—
553	C₂×C₄×D₅₃	—	2	1	no	—
554	C₂×C₄×D₅₃	—	2	1	no	—
555	C₂×C₄×D₅₃	—	2	1	no	—
556	C₂×C₄×D₅₃	—	2	1	no	—
557	C₂×C₄×D₅₃	—	2	1	no	—
558	C₂×C₄×D₅₃	—	2	1	no	—
559	C₂×C₄×D₅₃	—	8	2	no	—
560	C₂×Dic₁₀₆	—	2	1	no	—
561	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
562	C₄⋊C₄×C₅₃	—	2	1	no	—
563	C₄⋊C₄×C₅₃	—	2	1	no	—
564	C₄⋊C₄×C₅₃	—	2	1	no	—
565	C₄⋊C₄×C₅₃	—	2	1	no	—
566	C₄⋊C₄×C₅₃	—	2	1	no	—
567	C₄⋊C₄×C₅₃	—	2	1	no	—
568	C₄⋊C₄×C₅₃	—	2	1	no	—
569	C₄⋊C₄×C₅₃	—	2	1	no	—
570	C₄⋊C₄×C₅₃	—	2	1	no	—
571	C₄⋊C₄×C₅₃	—	2	1	no	—
572	C₄⋊C₄×C₅₃	—	2	1	no	—
573	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
574	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
575	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
576	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
577	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
578	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
579	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
580	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
581	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
582	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
583	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
584	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
585	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
586	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
587	C₂²⋊C₄×C₅₃	—	2	1	no	—
588	C₂²⋊C₄×C₅₃	—	2	1	no	—
589	C₂²⋊C₄×C₅₃	—	2	1	no	—
590	C₂²⋊C₄×C₅₃	—	2	1	no	—
591	C₂²⋊C₄×C₅₃	—	2	1	no	—
592	C₂²⋊C₄×C₅₃	—	2	1	no	—
593	C₂²⋊C₄×C₅₃	—	2	1	no	—
594	C₂²⋊C₄×C₅₃	—	2	1	no	—
595	C₂²⋊C₄×C₅₃	—	2	1	no	—
596	C₂²⋊C₄×C₅₃	—	2	1	no	—
597	C₂²⋊C₄×C₅₃	—	2	1	no	—
598	C₂²⋊C₄×C₅₃	—	2	1	no	—
599	C₂²⋊C₄×C₅₃	—	2	1	no	—
600	C₂²⋊C₄×C₅₃	—	2	1	no	—
601	C₂²⋊C₄×C₅₃	—	2	1	no	—
602	C₂²⋊C₄×C₅₃	—	2	1	no	—
603	C₂²⋊C₄×C₅₃	—	2	1	no	—
604	C₂²⋊C₄×C₅₃	—	2	1	no	—
605	C₂²⋊C₄×C₅₃	—	2	1	no	—
606	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
607	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
608	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
609	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
610	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
611	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
612	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
613	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
614	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
615	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
616	C₄²×C₅₃	—	2	1	no	—
617	C₄²×C₅₃	—	2	1	no	—
618	C₄²×C₅₃	—	2	1	no	—
619	C₄²×C₅₃	C₂×D₄	1	1	yes	characteristic
620	C₄²×C₅₃	C₂×D₄	1	1	yes	characteristic
621	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
622	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
623	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
624	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
625	C₂²⋊Dic₅₃	—	2	1	no	—
626	C₂²⋊Dic₅₃	—	2	1	no	—
627	C₂²⋊Dic₅₃	—	2	1	no	—
628	#11719925	—	4	1	no	—
629	#11719924	—	2	2	no	—
630	#11719924	—	2	2	no	—
631	#11719924	—	4	1	no	—
632	#11719923	—	2	2	no	—
633	#11719923	—	2	2	no	—
634	#11719923	—	4	1	no	—
635	#11719922	—	2	2	no	—
636	#11719922	—	2	2	no	—
637	#11719922	—	2	2	no	—
638	#11719922	—	2	2	no	—
639	#11719922	—	2	2	no	—
640	#11719922	—	4	1	no	—
641	#11719922	—	4	1	no	—
642	#11719922	—	4	1	no	—
643	#11719922	#41	1	4	yes	complemented
644	#11719921	—	2	1	no	—
645	#11719921	—	2	1	no	—
646	#11719921	—	2	1	no	—
647	#11719921	—	2	1	no	—
648	#11719921	—	2	1	no	—
649	#11719921	—	2	1	no	—
650	#11719921	—	2	1	no	—
651	#11719921	—	2	1	no	—
652	#11719921	—	2	1	no	—
653	#11719921	—	2	1	no	—
654	#11719921	—	2	1	no	—
655	#11719921	—	2	1	no	—
656	#11719921	—	2	1	no	—
657	#11719921	—	2	1	no	—
658	#11719921	—	2	1	no	—
659	#11719921	—	2	1	no	—
660	C₄⋊Dic₅₃	—	2	1	no	—
661	C₄⋊Dic₅₃	—	2	1	no	—
662	C₄⋊Dic₅₃	—	2	1	no	—
663	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
664	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
665	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
666	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
667	#11719919	—	2	1	no	—
668	#11719919	—	2	1	no	—
669	#11719919	—	2	1	no	—
670	#11719919	—	2	1	no	—
671	#11719919	—	2	1	no	—
672	#11719919	—	2	1	no	—
673	#11719919	—	2	1	no	—
674	#11719919	—	2	1	no	—
675	C₄×Dic₅₃	—	2	1	no	—
676	C₄×Dic₅₃	—	2	1	no	—
677	C₄×Dic₅₃	—	2	1	no	—
678	#11719917	—	2	2	no	—
679	#11719917	—	2	2	no	—
680	C₂×#88322	—	2	2	no	—
681	C₂×#88322	—	4	1	no	—
682	C₂×#88322	—	4	1	no	—
683	C₂×#88322	—	4	1	no	—
684	C₂×#88322	C₂⁴	1	1	yes	characteristic
685	C₂×#88322	C₂⁴	1	1	yes	characteristic
686	C₂×#88322	C₂⁴	1	1	yes	characteristic
687	C₂×#88322	C₂⁴	1	1	yes	characteristic
688	C₂×#88322	C₂⁴	1	1	yes	characteristic
689	C₂×#88322	C₂⁴	1	1	yes	characteristic
690	C₂×#88322	C₂⁴	1	1	yes	characteristic
691	C₂×#88322	C₂⁴	1	1	yes	characteristic
692	C₂³×C₅₃	—	2	1	no	—
693	C₂³×C₅₃	—	2	1	no	—
694	C₂³×C₅₃	—	2	1	no	—
695	C₂³×C₅₃	—	4	2	no	—
696	C₂³×C₅₃	—	4	2	no	—
697	C₂³×C₅₃	—	4	2	no	—
698	C₂³×C₅₃	—	8	1	no	—
699	C₂³×C₅₃	—	8	1	no	—
700	C₂³×C₅₃	—	8	1	no	—
701	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
702	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
703	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
704	C₂²×D₅₃	—	2	1	no	—
705	C₂²×D₅₃	—	2	1	no	—
706	C₂²×D₅₃	—	2	1	no	—
707	C₂²×D₅₃	—	4	2	no	—
708	C₂²×D₅₃	—	4	2	no	—
709	C₂²×D₅₃	—	4	2	no	—
710	C₂²×D₅₃	—	8	1	no	—
711	C₂²×D₅₃	—	8	1	no	—
712	C₂²×D₅₃	—	8	1	no	—
713	Q₈×C₅₃	—	2	1	no	—
714	Q₈×C₅₃	—	2	1	no	—
715	Q₈×C₅₃	—	4	1	no	—
716	Q₈×C₅₃	—	8	1	no	—
717	D₄×C₅₃	—	2	2	no	—
718	D₄×C₅₃	—	2	2	no	—
719	D₄×C₅₃	—	2	1	no	—
720	D₄×C₅₃	—	2	1	no	—
721	D₄×C₅₃	—	2	1	no	—
722	D₄×C₅₃	—	2	1	no	—
723	D₄×C₅₃	—	2	1	no	—
724	D₄×C₅₃	—	4	1	no	—
725	D₄×C₅₃	—	4	2	no	—
726	D₄×C₅₃	—	4	2	no	—
727	D₄×C₅₃	—	4	2	no	—
728	D₄×C₅₃	—	4	2	no	—
729	D₄×C₅₃	—	8	1	no	—
730	D₄×C₅₃	—	8	1	no	—
731	D₄×C₅₃	—	8	1	no	—
732	D₄×C₅₃	—	8	1	no	—
733	D₄×C₅₃	—	8	1	no	—
734	D₄×C₅₃	C₂×#41	1	2	yes	—
735	C₂×C₄×C₅₃	—	2	2	no	—
736	C₂×C₄×C₅₃	—	2	1	no	—
737	C₂×C₄×C₅₃	—	2	1	no	—
738	C₂×C₄×C₅₃	—	2	1	no	—
739	C₂×C₄×C₅₃	—	2	1	no	—
740	C₂×C₄×C₅₃	—	2	1	no	—
741	C₂×C₄×C₅₃	—	2	1	no	—
742	C₂×C₄×C₅₃	—	2	1	no	—
743	C₂×C₄×C₅₃	—	2	1	no	—
744	C₂×C₄×C₅₃	—	2	1	no	—
745	C₂×C₄×C₅₃	—	2	1	no	—
746	C₂×C₄×C₅₃	—	2	1	no	—
747	C₂×C₄×C₅₃	—	4	1	no	—
748	C₂×C₄×C₅₃	—	4	2	no	—
749	C₂×C₄×C₅₃	—	4	2	no	—
750	C₂×C₄×C₅₃	—	8	1	no	—
751	C₂×C₄×C₅₃	—	8	1	no	—
752	C₂×C₄×C₅₃	—	8	1	no	—
753	C₂×C₄×C₅₃	—	8	1	no	—
754	C₂×C₄×C₅₃	—	8	1	no	—
755	C₂×C₄×C₅₃	—	8	1	no	—
756	C₂×C₄×C₅₃	—	8	1	no	—
757	C₂×C₄×C₅₃	—	8	1	no	—
758	C₂×C₄×C₅₃	—	8	1	no	—
759	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
760	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
761	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
762	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
763	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
764	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
765	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
766	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
767	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
768	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
769	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
770	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
771	C₂²⋊D₅₃	—	4	2	no	—
772	C₂²⋊D₅₃	—	4	2	no	—
773	C₂²⋊D₅₃	—	8	1	no	—
774	C₂²⋊D₅₃	—	8	1	no	—
775	C₂²⋊D₅₃	—	8	1	no	—
776	C₂×Dic₅₃	—	2	1	no	—
777	C₂×Dic₅₃	—	2	1	no	—
778	C₂×Dic₅₃	—	2	1	no	—
779	C₂×Dic₅₃	—	2	1	no	—
780	C₂×Dic₅₃	—	2	1	no	—
781	C₂×Dic₅₃	—	4	2	no	—
782	C₂×Dic₅₃	—	8	1	no	—
783	D₂₁₂	—	2	1	no	—
784	D₂₁₂	—	2	1	no	—
785	D₂₁₂	—	2	1	no	—
786	D₂₁₂	—	2	1	no	—
787	D₂₁₂	—	2	1	no	—
788	D₂₁₂	—	4	2	no	—
789	D₂₁₂	—	4	2	no	—
790	D₂₁₂	—	8	1	no	—
791	D₂₁₂	—	8	1	no	—
792	D₂₁₂	C₂×#41	1	2	yes	—
793	C₄×D₅₃	—	4	2	no	—
794	C₄×D₅₃	—	8	1	no	—
795	C₄×D₅₃	—	8	1	no	—
796	C₄×D₅₃	—	8	1	no	—
797	C₄×D₅₃	—	8	1	no	—
798	C₄×D₅₃	—	8	1	no	—
799	C₄×D₅₃	—	8	1	no	—
800	C₄×D₅₃	—	8	1	no	—
801	C₄×D₅₃	—	8	1	no	—
802	Dic₁₀₆	—	2	1	no	—
803	Dic₁₀₆	—	2	1	no	—
804	Dic₁₀₆	—	8	1	no	—
805	#88322	—	2	1	no	—
806	#88322	—	2	1	no	—
807	#88322	—	2	1	no	—
808	#88322	—	2	1	no	—
809	#88322	—	2	1	no	—
810	#88322	—	2	1	no	—
811	#88322	—	2	1	no	—
812	#88322	C₂×#41	1	2	yes	—
813	#61489	—	53	1	no	maximal, Sylow
814	C₂²×C₅₃	—	2	1	no	—
815	C₂²×C₅₃	—	2	1	no	—
816	C₂²×C₅₃	—	2	1	no	—
817	C₂²×C₅₃	—	2	1	no	—
818	C₂²×C₅₃	—	2	1	no	—
819	C₂²×C₅₃	—	2	1	no	—
820	C₂²×C₅₃	—	2	2	no	—
821	C₂²×C₅₃	—	2	1	no	—
822	C₂²×C₅₃	—	2	1	no	—
823	C₂²×C₅₃	—	4	1	no	—
824	C₂²×C₅₃	—	4	1	no	—
825	C₂²×C₅₃	—	4	1	no	—
826	C₂²×C₅₃	—	4	1	no	—
827	C₂²×C₅₃	—	4	1	no	—
828	C₂²×C₅₃	—	4	1	no	—
829	C₂²×C₅₃	—	4	1	no	—
830	C₂²×C₅₃	—	4	1	no	—
831	C₂²×C₅₃	—	8	4	no	—
832	C₂²×C₅₃	—	16	2	no	—
833	C₂²×C₅₃	#576	1	2	yes	—
834	C₂²×C₅₃	C₂³×D₄	1	1	yes	characteristic
835	C₂×D₅₃	—	2	2	no	—
836	C₂×D₅₃	—	4	1	no	—
837	C₂×D₅₃	—	4	1	no	—
838	C₂×D₅₃	—	4	1	no	—
839	C₂×D₅₃	—	4	1	no	—
840	C₂×D₅₃	—	4	1	no	—
841	C₂×D₅₃	—	4	1	no	—
842	C₂×D₅₃	—	4	1	no	—
843	C₂×D₅₃	—	4	1	no	—
844	C₂×D₅₃	—	8	4	no	—
845	C₂×D₅₃	—	16	2	no	—
846	C₄×C₅₃	—	2	1	no	—
847	C₄×C₅₃	—	2	1	no	—
848	C₄×C₅₃	—	2	1	no	—
849	C₄×C₅₃	—	2	1	no	—
850	C₄×C₅₃	—	2	1	no	—
851	C₄×C₅₃	—	2	1	no	—
852	C₄×C₅₃	—	2	1	no	—
853	C₄×C₅₃	—	2	1	no	—
854	C₄×C₅₃	—	2	1	no	—
855	C₄×C₅₃	—	2	1	no	—
856	C₄×C₅₃	—	2	1	no	—
857	C₄×C₅₃	—	4	1	no	—
858	C₄×C₅₃	—	4	1	no	—
859	C₄×C₅₃	—	4	1	no	—
860	C₄×C₅₃	—	4	1	no	—
861	C₄×C₅₃	—	4	1	no	—
862	C₄×C₅₃	C₂²×#41	1	1	yes	characteristic
863	C₄×C₅₃	#585	1	1	yes	characteristic
864	Dic₅₃	—	4	1	no	—
865	Dic₅₃	—	4	1	no	—
866	Dic₅₃	—	4	1	no	—
867	Dic₅₃	—	4	1	no	—
868	Dic₅₃	—	4	1	no	—
869	#3513	—	53	1	no	—
870	#3513	D₅₃	1	1	yes	characteristic, complemented
871	#3403	—	53	1	no	—
872	#3389	—	53	1	no	—
873	#3361	—	53	1	no	—
874	#3361	—	53	1	no	—
875	#3355	—	53	1	no	—
876	#3343	—	53	1	no	—
877	#3343	—	53	1	no	—
878	#3297	—	53	1	no	—
879	#3297	—	53	1	no	—
880	#3296	—	53	1	no	—
881	#3296	—	53	1	no	—
882	#3294	—	53	1	no	—
883	#3294	—	53	1	no	—
884	#3273	—	53	1	no	—
885	#3264	—	53	1	no	—
886	#3264	—	53	1	no	—
887	#3179	—	53	1	no	—
888	#3179	—	53	1	no	—
889	#3168	—	53	1	no	—
890	#3124	—	53	1	no	—
891	#3124	—	53	1	no	—
892	#3122	—	53	1	no	—
893	#3122	—	53	1	no	—
894	#3114	—	53	1	no	—
895	#3114	—	53	1	no	—
896	#2966	—	53	1	no	—
897	#2946	—	53	1	no	—
898	#2946	—	53	1	no	—
899	C₂×C₄×D₈	—	53	1	no	—
900	C₂×C₅₃	—	2	2	no	—
901	C₂×C₅₃	—	4	1	no	—
902	C₂×C₅₃	—	4	1	no	—
903	C₂×C₅₃	—	4	2	no	—
904	C₂×C₅₃	—	8	1	no	—
905	C₂×C₅₃	—	8	1	no	—
906	C₂×C₅₃	D₄×#41	1	1	yes	characteristic
907	C₂×C₅₃	C₂×#576	1	1	yes	characteristic
908	C₂×C₅₃	#3584	1	1	yes	characteristic
909	D₅₃	—	4	2	no	—
910	D₅₃	—	8	1	no	—
911	D₅₃	—	8	1	no	—
912	C₂×AGL(1,ℤ/8)	—	53	1	no	—
913	C₂×AGL(1,ℤ/8)	—	53	1	no	—
914	C₂²×D₈	—	53	1	no	—
915	#559	—	53	1	no	—
916	#559	C₂×D₅₃	1	1	yes	characteristic, complemented
917	#554	—	53	1	no	—
918	#554	C₂×D₅₃	1	1	yes	characteristic, complemented
919	#553	—	2	1	no	—
920	#553	—	53	1	no	—
921	#553	—	106	1	no	—
922	#553	C₂×D₅₃	1	1	yes	characteristic, complemented
923	#552	—	53	1	no	—
924	#552	C₂×D₅₃	1	1	yes	characteristic, complemented
925	#551	—	2	1	no	—
926	#551	—	2	1	no	—
927	#551	—	106	1	no	—
928	#551	—	106	1	no	—
929	#547	—	53	1	no	—
930	#547	C₂×D₅₃	1	1	yes	characteristic
931	#546	—	2	1	no	—
932	#546	—	53	1	no	—
933	#546	—	53	1	no	—
934	#546	—	106	1	no	—
935	#546	C₂×D₅₃	1	1	yes	characteristic
936	#546	C₂×D₅₃	1	1	yes	characteristic, complemented
937	D₄²	—	53	1	no	—
938	D₄²	C₂×D₅₃	1	1	yes	characteristic, complemented
939	#542	—	53	1	no	—
940	#542	C₂×D₅₃	1	1	yes	characteristic, complemented
941	#540	—	53	1	no	—
942	#540	C₂×D₅₃	1	1	yes	characteristic, complemented
943	#539	—	2	1	no	—
944	#539	—	106	1	no	—
945	#538	—	2	1	no	—
946	#538	—	106	1	no	—
947	#529	—	53	1	no	—
948	#529	C₂×D₅₃	1	1	yes	characteristic
949	#529	C₂×D₅₃	1	1	yes	characteristic, complemented
950	#525	—	2	1	no	—
951	#525	—	106	1	no	—
952	C₂×#123	—	2	1	no	—
953	C₂×#123	—	106	1	no	—
954	#520	—	53	1	no	—
955	#520	C₂×D₅₃	1	1	yes	characteristic, complemented
956	#518	—	53	1	no	—
957	#518	C₂×D₅₃	1	1	yes	characteristic, complemented
958	C₂×C₄×D₄	—	53	1	no	—
959	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
960	#501	—	53	1	no	—
961	#501	—	53	1	no	—
962	#499	—	53	1	no	—
963	#496	—	53	1	no	—
964	#496	—	53	1	no	—
965	#495	—	53	1	no	—
966	#488	—	53	1	no	—
967	#488	—	53	1	no	—
968	#488	—	53	1	no	—
969	#488	—	53	1	no	—
970	#486	—	53	1	no	—
971	#486	—	53	1	no	—
972	#484	—	53	1	no	—
973	#484	—	53	1	no	—
974	#483	—	53	1	no	—
975	#483	—	53	1	no	—
976	#482	—	53	1	no	—
977	#482	—	53	1	no	—
978	#482	—	53	1	no	—
979	#482	—	53	1	no	—
980	#480	—	53	1	no	—
981	#480	—	53	1	no	—
982	#480	—	53	1	no	—
983	#480	—	53	1	no	—
984	#478	—	53	1	no	—
985	#478	—	53	1	no	—
986	#478	—	53	1	no	—
987	#478	—	53	1	no	—
988	#478	—	53	1	no	—
989	#478	—	53	1	no	—
990	#478	—	53	1	no	—
991	#478	—	53	1	no	—
992	#477	—	53	1	no	—
993	#477	—	53	1	no	—
994	#474	—	53	1	no	—
995	#474	—	53	1	no	—
996	#469	—	53	1	no	—
997	#469	—	53	1	no	—
998	#468	—	53	1	no	—
999	#468	—	53	1	no	—
1000	#467	—	53	1	no	—
1001	#466	—	53	1	no	—
1002	#466	—	53	1	no	—
1003	#466	—	53	1	no	—
1004	#465	—	53	1	no	—
1005	#465	—	53	1	no	—
1006	#465	—	53	1	no	—
1007	#465	—	53	1	no	—
1008	#464	—	53	1	no	—
1009	#464	—	53	1	no	—
1010	#463	—	53	1	no	—
1011	#463	—	53	1	no	—
1012	#463	—	53	1	no	—
1013	#463	—	53	1	no	—
1014	#463	—	53	1	no	—
1015	#463	—	53	1	no	—
1016	#459	—	53	1	no	—
1017	#459	—	53	1	no	—
1018	#459	—	53	1	no	—
1019	#459	—	53	1	no	—
1020	#452	—	53	1	no	—
1021	#452	—	53	1	no	—
1022	#450	—	53	1	no	—
1023	#450	—	53	1	no	—
1024	#449	—	53	1	no	—
1025	#449	—	53	1	no	—
1026	#447	—	53	1	no	—
1027	#447	—	53	1	no	—
1028	#447	—	53	1	no	—
1029	#447	—	53	1	no	—
1030	#447	—	53	1	no	—
1031	#447	—	53	1	no	—
1032	#446	—	53	1	no	—
1033	C₈×Q₈	—	53	1	no	—
1034	#442	—	53	1	no	—
1035	#442	—	53	1	no	—
1036	#442	—	53	1	no	—
1037	#442	—	53	1	no	—
1038	#442	—	53	1	no	—
1039	#442	—	53	1	no	—
1040	#440	—	53	1	no	—
1041	#440	—	53	1	no	—
1042	#440	—	53	1	no	—
1043	#440	—	53	1	no	—
1044	#440	—	53	1	no	—
1045	#440	—	53	1	no	—
1046	C₄×Q₁₆	—	53	1	no	—
1047	C₄×SD₁₆	—	53	1	no	—
1048	C₄×SD₁₆	—	53	1	no	—
1049	C₄×SD₁₆	—	53	1	no	—
1050	C₄×SD₁₆	—	53	1	no	—
1051	C₄×D₈	—	53	1	no	—
1052	C₄×D₈	—	53	1	no	—
1053	C₄×D₈	—	53	1	no	—
1054	C₄×D₈	—	53	1	no	—
1055	C₄×D₈	—	53	1	no	—
1056	C₄×D₈	—	53	1	no	—
1057	C₄×D₈	—	53	1	no	—
1058	C₄×D₈	—	53	1	no	—
1059	C₄×D₈	—	53	1	no	—
1060	C₄×D₈	—	53	1	no	—
1061	C₄×D₈	—	53	1	no	—
1062	#436	—	53	1	no	—
1063	#435	—	53	1	no	—
1064	#435	—	53	1	no	—
1065	C₈×D₄	—	53	1	no	—
1066	C₈×D₄	—	53	1	no	—
1067	C₈×D₄	—	53	1	no	—
1068	#433	—	53	1	no	—
1069	#433	—	53	1	no	—
1070	#432	—	53	1	no	—
1071	#428	—	53	1	no	—
1072	#428	—	53	1	no	—
1073	C₂×#107	—	53	1	no	—
1074	#416	—	53	1	no	—
1075	#416	—	53	1	no	—
1076	C₂×#102	—	53	1	no	—
1077	C₂×#102	—	53	1	no	—
1078	C₂×#102	—	53	1	no	—
1079	C₂×#102	—	53	1	no	—
1080	#405	—	53	1	no	—
1081	#405	—	53	1	no	—
1082	C₂×C₄×C₈	—	53	1	no	—
1083	C₅₃	#61489	1	1	yes	characteristic, complemented, Sylow
1084	C₂×#41	—	2	1	no	—
1085	C₂×#41	—	53	1	no	—
1086	C₂×#41	—	106	1	no	—
1087	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1088	C₂²×D₄	—	2	1	no	—
1089	C₂²×D₄	—	53	1	no	—
1090	C₂²×D₄	—	53	1	no	—
1091	C₂²×D₄	—	106	1	no	—
1092	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1093	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1094	C₂³×C₄	—	2	1	no	—
1095	C₂³×C₄	—	106	1	no	—
1096	AGL(1,ℤ/8)	—	106	4	no	—
1097	AGL(1,ℤ/8)	—	106	4	no	—
1098	C₂×Q₁₆	—	53	1	no	—
1099	C₂×SD₁₆	—	53	1	no	—
1100	C₂×SD₁₆	—	53	1	no	—
1101	C₂×SD₁₆	—	53	1	no	—
1102	C₂×SD₁₆	—	53	1	no	—
1103	C₂×SD₁₆	—	53	1	no	—
1104	C₂×SD₁₆	—	53	1	no	—
1105	C₂×D₈	—	53	1	no	—
1106	C₂×D₈	—	53	1	no	—
1107	C₂×D₈	—	53	1	no	—
1108	C₂×D₈	—	53	1	no	—
1109	C₂×D₈	—	53	1	no	—
1110	C₂×D₈	—	53	1	no	—
1111	C₂×D₈	—	53	1	no	—
1112	C₂×D₈	—	53	1	no	—
1113	C₂×D₈	—	53	1	no	—
1114	C₂×D₈	—	106	4	no	—
1115	C₂×M₁₆	—	53	1	no	—
1116	C₂×M₁₆	—	53	1	no	—
1117	C₂²×C₈	—	53	1	no	—
1118	C₂²×C₈	—	53	1	no	—
1119	C₂²×C₈	—	53	1	no	—
1120	C₂²×C₈	—	53	1	no	—
1121	C₄⋊Q₈	—	53	1	no	—
1122	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1123	#127	—	53	1	no	—
1124	#127	C₂²×D₅₃	1	1	yes	characteristic
1125	#126	—	2	1	no	—
1126	#126	—	2	1	no	—
1127	#126	—	2	1	no	—
1128	#126	—	2	1	no	—
1129	#126	—	106	1	no	—
1130	#126	—	106	1	no	—
1131	#126	—	106	1	no	—
1132	#126	—	106	1	no	—
1133	#126	C₂²⋊D₅₃	1	1	yes	characteristic
1134	#126	C₂²⋊D₅₃	1	1	yes	characteristic
1135	#125	—	2	1	no	—
1136	#125	—	53	1	no	—
1137	#125	—	53	1	no	—
1138	#125	—	106	1	no	—
1139	#125	C₂²⋊D₅₃	1	1	yes	characteristic
1140	#125	C₂²×D₅₃	1	1	yes	characteristic
1141	#125	C₂²×D₅₃	1	1	yes	characteristic
1142	#124	—	2	1	no	—
1143	#124	—	2	1	no	—
1144	#124	—	53	1	no	—
1145	#124	—	53	1	no	—
1146	#124	—	106	1	no	—
1147	#124	—	106	1	no	—
1148	#124	C₂²⋊D₅₃	1	1	yes	characteristic
1149	#124	C₂²×D₅₃	1	1	yes	characteristic
1150	#124	C₂²×D₅₃	1	1	yes	characteristic
1151	#123	—	2	1	no	—
1152	#123	—	2	1	no	—
1153	#123	—	2	1	no	—
1154	#123	—	2	1	no	—
1155	#123	—	2	1	no	—
1156	#123	—	2	1	no	—
1157	#123	—	2	1	no	—
1158	#123	—	2	1	no	—
1159	#123	—	2	1	no	—
1160	#123	—	2	1	no	—
1161	#123	—	2	1	no	—
1162	#123	—	2	1	no	—
1163	#123	—	106	1	no	—
1164	#123	—	106	1	no	—
1165	#123	—	106	1	no	—
1166	#123	—	106	1	no	—
1167	#123	—	106	1	no	—
1168	#123	—	106	1	no	—
1169	#123	—	106	1	no	—
1170	#123	—	106	1	no	—
1171	#123	—	106	1	no	—
1172	#123	—	106	1	no	—
1173	#123	—	106	1	no	—
1174	#123	—	106	1	no	—
1175	#123	C₂²⋊D₅₃	1	1	yes	characteristic
1176	#123	C₂²⋊D₅₃	1	1	yes	characteristic
1177	C₂²⋊Q₈	—	2	1	no	—
1178	C₂²⋊Q₈	—	2	1	no	—
1179	C₂²⋊Q₈	—	2	1	no	—
1180	C₂²⋊Q₈	—	2	1	no	—
1181	C₂²⋊Q₈	—	2	1	no	—
1182	C₂²⋊Q₈	—	53	1	no	—
1183	C₂²⋊Q₈	—	53	1	no	—
1184	C₂²⋊Q₈	—	106	1	no	—
1185	C₂²⋊Q₈	—	106	1	no	—
1186	C₂²⋊Q₈	—	106	1	no	—
1187	C₂²⋊Q₈	—	106	1	no	—
1188	C₂²⋊Q₈	—	106	1	no	—
1189	C₂²⋊Q₈	C₂²⋊D₅₃	1	1	yes	characteristic
1190	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1191	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1192	#121	—	2	1	no	—
1193	#121	—	2	1	no	—
1194	#121	—	2	1	no	—
1195	#121	—	2	1	no	—
1196	#121	—	2	1	no	—
1197	#121	—	2	1	no	—
1198	#121	—	53	1	no	—
1199	#121	—	53	1	no	—
1200	#121	—	53	1	no	—
1201	#121	—	53	1	no	—
1202	#121	—	106	1	no	—
1203	#121	—	106	1	no	—
1204	#121	—	106	1	no	—
1205	#121	—	106	1	no	—
1206	#121	—	106	1	no	—
1207	#121	—	106	1	no	—
1208	#121	C₂²⋊D₅₃	1	1	yes	characteristic
1209	#121	C₂²×D₅₃	1	1	yes	characteristic
1210	#121	C₂²×D₅₃	1	1	yes	characteristic
1211	#121	C₂²×D₅₃	1	1	yes	characteristic
1212	#121	C₂²×D₅₃	1	1	yes	characteristic
1213	#120	—	2	1	no	—
1214	#120	—	2	1	no	—
1215	#120	—	2	1	no	—
1216	#120	—	2	1	no	—
1217	#120	—	106	1	no	—
1218	#120	—	106	1	no	—
1219	#120	—	106	1	no	—
1220	#120	—	106	1	no	—
1221	C₄×Q₈	—	53	1	no	—
1222	C₄×Q₈	—	53	1	no	—
1223	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1224	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1225	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1226	C₄×D₄	—	2	1	no	—
1227	C₄×D₄	—	2	1	no	—
1228	C₄×D₄	—	2	1	no	—
1229	C₄×D₄	—	2	1	no	—
1230	C₄×D₄	—	2	1	no	—
1231	C₄×D₄	—	2	1	no	—
1232	C₄×D₄	—	2	1	no	—
1233	C₄×D₄	—	2	1	no	—
1234	C₄×D₄	—	2	1	no	—
1235	C₄×D₄	—	53	1	no	—
1236	C₄×D₄	—	53	1	no	—
1237	C₄×D₄	—	53	1	no	—
1238	C₄×D₄	—	53	1	no	—
1239	C₄×D₄	—	53	1	no	—
1240	C₄×D₄	—	53	1	no	—
1241	C₄×D₄	—	53	1	no	—
1242	C₄×D₄	—	53	1	no	—
1243	C₄×D₄	—	106	1	no	—
1244	C₄×D₄	—	106	1	no	—
1245	C₄×D₄	—	106	1	no	—
1246	C₄×D₄	—	106	1	no	—
1247	C₄×D₄	—	106	1	no	—
1248	C₄×D₄	—	106	1	no	—
1249	C₄×D₄	—	106	1	no	—
1250	C₄×D₄	—	106	1	no	—
1251	C₄×D₄	—	106	1	no	—
1252	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1253	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1254	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1255	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1256	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1257	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1258	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1259	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1260	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1261	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1262	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1263	#117	—	2	1	no	—
1264	#117	—	2	1	no	—
1265	#117	—	2	1	no	—
1266	#117	—	53	1	no	—
1267	#117	—	106	1	no	—
1268	#117	—	106	1	no	—
1269	#117	—	106	1	no	—
1270	#117	C₂²×D₅₃	1	1	yes	characteristic
1271	#117	C₂²×D₅₃	1	1	yes	characteristic
1272	#117	C₂²×D₅₃	1	1	yes	characteristic
1273	C₂×C₄⋊C₄	—	2	1	no	—
1274	C₂×C₄⋊C₄	—	2	1	no	—
1275	C₂×C₄⋊C₄	—	53	1	no	—
1276	C₂×C₄⋊C₄	—	53	1	no	—
1277	C₂×C₄⋊C₄	—	106	1	no	—
1278	C₂×C₄⋊C₄	—	106	1	no	—
1279	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1280	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1281	C₂×C₂²⋊C₄	—	2	1	no	—
1282	C₂×C₂²⋊C₄	—	2	1	no	—
1283	C₂×C₂²⋊C₄	—	2	1	no	—
1284	C₂×C₂²⋊C₄	—	2	1	no	—
1285	C₂×C₂²⋊C₄	—	2	1	no	—
1286	C₂×C₂²⋊C₄	—	106	1	no	—
1287	C₂×C₂²⋊C₄	—	106	1	no	—
1288	C₂×C₂²⋊C₄	—	106	1	no	—
1289	C₂×C₂²⋊C₄	—	106	1	no	—
1290	C₂×C₂²⋊C₄	—	106	1	no	—
1291	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1292	#107	—	53	1	no	—
1293	#107	—	53	1	no	—
1294	#107	—	53	1	no	—
1295	#107	—	53	1	no	—
1296	#107	—	53	1	no	—
1297	#107	—	53	1	no	—
1298	#107	—	53	1	no	—
1299	#107	—	53	1	no	—
1300	#107	—	53	1	no	—
1301	#107	—	53	1	no	—
1302	#106	—	53	1	no	—
1303	#106	—	53	1	no	—
1304	#106	—	53	1	no	—
1305	#106	—	53	1	no	—
1306	#106	—	53	1	no	—
1307	#106	—	53	1	no	—
1308	C₄⋊C₈	—	53	1	no	—
1309	C₄⋊C₈	—	53	1	no	—
1310	C₄⋊C₈	—	53	1	no	—
1311	C₄⋊C₈	—	53	1	no	—
1312	C₄⋊C₈	—	53	1	no	—
1313	C₄⋊C₈	—	53	1	no	—
1314	#103	—	53	1	no	—
1315	#103	—	53	1	no	—
1316	#103	—	53	1	no	—
1317	#103	—	53	1	no	—
1318	#103	—	53	1	no	—
1319	#103	—	53	1	no	—
1320	#103	—	53	1	no	—
1321	#103	—	53	1	no	—
1322	#102	—	53	1	no	—
1323	#102	—	53	1	no	—
1324	#102	—	53	1	no	—
1325	#102	—	53	1	no	—
1326	#102	—	53	1	no	—
1327	#102	—	53	1	no	—
1328	#102	—	53	1	no	—
1329	#102	—	53	1	no	—
1330	#102	—	53	1	no	—
1331	#102	—	53	1	no	—
1332	#102	—	53	1	no	—
1333	#102	—	53	1	no	—
1334	#102	—	53	1	no	—
1335	#102	—	53	1	no	—
1336	#102	—	53	1	no	—
1337	#102	—	53	1	no	—
1338	#102	—	53	1	no	—
1339	#102	—	53	1	no	—
1340	#102	—	53	1	no	—
1341	#102	—	53	1	no	—
1342	#102	—	53	1	no	—
1343	#102	—	53	1	no	—
1344	#102	—	53	1	no	—
1345	#102	—	53	1	no	—
1346	C₂²⋊C₈	—	53	1	no	—
1347	C₂²⋊C₈	—	53	1	no	—
1348	C₂²⋊C₈	—	53	1	no	—
1349	C₂²⋊C₈	—	53	1	no	—
1350	C₂²⋊C₈	—	53	1	no	—
1351	C₂²⋊C₈	—	53	1	no	—
1352	#97	—	53	1	no	—
1353	#97	—	53	1	no	—
1354	#97	—	53	1	no	—
1355	#97	—	53	1	no	—
1356	C₄×C₈	—	53	1	no	—
1357	C₄×C₈	—	53	1	no	—
1358	C₄×C₈	—	53	1	no	—
1359	C₄×C₈	—	53	1	no	—
1360	C₄×C₈	—	53	1	no	—
1361	C₄×C₈	—	53	1	no	—
1362	C₂⁴	—	2	1	no	—
1363	C₂⁴	—	2	1	no	—
1364	C₂⁴	—	106	1	no	—
1365	C₂⁴	—	106	1	no	—
1366	#41	—	2	2	no	—
1367	#41	—	4	1	no	—
1368	#41	—	8	2	no	—
1369	#41	—	106	2	no	—
1370	#41	—	424	2	no	—
1371	#41	—	212	1	no	—
1372	C₂×Q₈	—	2	1	no	—
1373	C₂×Q₈	—	53	1	no	—
1374	C₂×Q₈	—	106	1	no	—
1375	C₂×Q₈	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1376	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
1377	C₂×D₄	—	2	2	no	—
1378	C₂×D₄	—	2	2	no	—
1379	C₂×D₄	—	2	1	no	—
1380	C₂×D₄	—	2	1	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	2	1	no	—
1388	C₂×D₄	—	4	1	no	—
1389	C₂×D₄	—	4	1	no	—
1390	C₂×D₄	—	8	2	no	—
1391	C₂×D₄	—	53	1	no	—
1392	C₂×D₄	—	53	1	no	—
1393	C₂×D₄	—	53	1	no	—
1394	C₂×D₄	—	106	2	no	—
1395	C₂×D₄	—	106	2	no	—
1396	C₂×D₄	—	106	1	no	—
1397	C₂×D₄	—	106	1	no	—
1398	C₂×D₄	—	106	1	no	—
1399	C₂×D₄	—	106	1	no	—
1400	C₂×D₄	—	106	1	no	—
1401	C₂×D₄	—	106	1	no	—
1402	C₂×D₄	—	106	1	no	—
1403	C₂×D₄	—	106	1	no	—
1404	C₂×D₄	—	106	1	no	—
1405	C₂×D₄	—	424	2	no	—
1406	C₂×D₄	—	212	1	no	—
1407	C₂×D₄	—	212	1	no	—
1408	C₂×D₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1409	C₂×D₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1410	C₂×D₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1411	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
1412	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
1413	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
1414	C₂²×C₄	—	2	1	no	—
1415	C₂²×C₄	—	2	1	no	—
1416	C₂²×C₄	—	2	1	no	—
1417	C₂²×C₄	—	2	1	no	—
1418	C₂²×C₄	—	2	1	no	—
1419	C₂²×C₄	—	2	1	no	—
1420	C₂²×C₄	—	2	1	no	—
1421	C₂²×C₄	—	2	1	no	—
1422	C₂²×C₄	—	2	1	no	—
1423	C₂²×C₄	—	2	1	no	—
1424	C₂²×C₄	—	2	1	no	—
1425	C₂²×C₄	—	8	2	no	—
1426	C₂²×C₄	—	106	1	no	—
1427	C₂²×C₄	—	106	1	no	—
1428	C₂²×C₄	—	106	1	no	—
1429	C₂²×C₄	—	106	1	no	—
1430	C₂²×C₄	—	106	1	no	—
1431	C₂²×C₄	—	106	1	no	—
1432	C₂²×C₄	—	106	1	no	—
1433	C₂²×C₄	—	106	1	no	—
1434	C₂²×C₄	—	106	1	no	—
1435	C₂²×C₄	—	106	1	no	—
1436	C₂²×C₄	—	106	1	no	—
1437	C₂²×C₄	—	424	2	no	—
1438	C₂²×C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1439	C₂²×C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1440	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1441	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1442	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1443	Q₁₆	—	212	1	no	—
1444	SD₁₆	—	106	2	no	—
1445	SD₁₆	—	106	2	no	—
1446	SD₁₆	—	106	2	no	—
1447	SD₁₆	—	106	2	no	—
1448	SD₁₆	—	212	1	no	—
1449	SD₁₆	—	212	1	no	—
1450	D₈	—	53	4	no	—
1451	D₈	—	106	2	no	—
1452	D₈	—	106	2	no	—
1453	D₈	—	106	2	no	—
1454	D₈	—	106	2	no	—
1455	D₈	—	106	2	no	—
1456	D₈	—	212	1	no	—
1457	D₈	—	212	1	no	—
1458	D₈	—	212	1	no	—
1459	M₁₆	—	106	2	no	—
1460	M₁₆	—	106	2	no	—
1461	C₂×C₈	—	53	1	no	—
1462	C₂×C₈	—	53	1	no	—
1463	C₂×C₈	—	53	1	no	—
1464	C₂×C₈	—	53	1	no	—
1465	C₂×C₈	—	53	1	no	—
1466	C₂×C₈	—	53	1	no	—
1467	C₂×C₈	—	53	1	no	—
1468	C₂×C₈	—	53	1	no	—
1469	C₂×C₈	—	106	2	no	—
1470	C₂×C₈	—	212	1	no	—
1471	C₂×C₈	—	212	1	no	—
1472	C₂×C₈	—	212	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	53	1	no	—
1485	C₄⋊C₄	—	53	1	no	—
1486	C₄⋊C₄	—	53	1	no	—
1487	C₄⋊C₄	—	53	1	no	—
1488	C₄⋊C₄	—	106	1	no	—
1489	C₄⋊C₄	—	106	1	no	—
1490	C₄⋊C₄	—	106	1	no	—
1491	C₄⋊C₄	—	106	1	no	—
1492	C₄⋊C₄	—	106	1	no	—
1493	C₄⋊C₄	—	106	1	no	—
1494	C₄⋊C₄	—	106	1	no	—
1495	C₄⋊C₄	—	106	1	no	—
1496	C₄⋊C₄	—	106	1	no	—
1497	C₄⋊C₄	—	106	1	no	—
1498	C₄⋊C₄	—	106	1	no	—
1499	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1500	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1501	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1502	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1503	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1504	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1505	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1506	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1507	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1508	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1509	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
1510	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
1511	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
1512	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	106	1	no	—
1533	C₂²⋊C₄	—	106	1	no	—
1534	C₂²⋊C₄	—	106	1	no	—
1535	C₂²⋊C₄	—	106	1	no	—
1536	C₂²⋊C₄	—	106	1	no	—
1537	C₂²⋊C₄	—	106	1	no	—
1538	C₂²⋊C₄	—	106	1	no	—
1539	C₂²⋊C₄	—	106	1	no	—
1540	C₂²⋊C₄	—	106	1	no	—
1541	C₂²⋊C₄	—	106	1	no	—
1542	C₂²⋊C₄	—	106	1	no	—
1543	C₂²⋊C₄	—	106	1	no	—
1544	C₂²⋊C₄	—	106	1	no	—
1545	C₂²⋊C₄	—	106	1	no	—
1546	C₂²⋊C₄	—	106	1	no	—
1547	C₂²⋊C₄	—	106	1	no	—
1548	C₂²⋊C₄	—	106	1	no	—
1549	C₂²⋊C₄	—	106	1	no	—
1550	C₂²⋊C₄	—	106	1	no	—
1551	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1552	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1553	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1554	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1555	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1556	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1557	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1558	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1559	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1560	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1561	C₄²	—	2	1	no	—
1562	C₄²	—	2	1	no	—
1563	C₄²	—	2	1	no	—
1564	C₄²	—	106	1	no	—
1565	C₄²	—	106	1	no	—
1566	C₄²	—	106	1	no	—
1567	C₄²	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1568	C₄²	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1569	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1570	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1571	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1572	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1573	C₂³	—	2	1	no	—
1574	C₂³	—	2	1	no	—
1575	C₂³	—	2	1	no	—
1576	C₂³	—	4	2	no	—
1577	C₂³	—	4	2	no	—
1578	C₂³	—	4	2	no	—
1579	C₂³	—	8	1	no	—
1580	C₂³	—	8	1	no	—
1581	C₂³	—	8	1	no	—
1582	C₂³	—	106	1	no	—
1583	C₂³	—	106	1	no	—
1584	C₂³	—	106	1	no	—
1585	C₂³	—	424	1	no	—
1586	C₂³	—	424	1	no	—
1587	C₂³	—	424	1	no	—
1588	C₂³	—	212	2	no	—
1589	C₂³	—	212	2	no	—
1590	C₂³	—	212	2	no	—
1591	C₂³	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1592	C₂³	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1593	C₂³	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1594	Q₈	—	2	1	no	—
1595	Q₈	—	2	1	no	—
1596	Q₈	—	4	1	no	—
1597	Q₈	—	8	1	no	—
1598	Q₈	—	106	1	no	—
1599	Q₈	—	106	1	no	—
1600	Q₈	—	424	1	no	—
1601	D₄	—	2	2	no	—
1602	D₄	—	2	2	no	—
1603	D₄	—	2	1	no	—
1604	D₄	—	2	1	no	—
1605	D₄	—	2	1	no	—
1606	D₄	—	2	1	no	—
1607	D₄	—	2	1	no	—
1608	D₄	—	4	1	no	—
1609	D₄	—	4	2	no	—
1610	D₄	—	4	2	no	—
1611	D₄	—	4	2	no	—
1612	D₄	—	4	2	no	—
1613	D₄	—	8	1	no	—
1614	D₄	—	8	1	no	—
1615	D₄	—	8	1	no	—
1616	D₄	—	8	1	no	—
1617	D₄	—	8	1	no	—
1618	D₄	—	53	2	no	—
1619	D₄	—	106	1	no	—
1620	D₄	—	106	1	no	—
1621	D₄	—	106	1	no	—
1622	D₄	—	106	1	no	—
1623	D₄	—	106	1	no	—
1624	D₄	—	424	1	no	—
1625	D₄	—	424	1	no	—
1626	D₄	—	424	1	no	—
1627	D₄	—	424	1	no	—
1628	D₄	—	424	1	no	—
1629	D₄	—	212	2	no	—
1630	D₄	—	212	2	no	—
1631	D₄	—	212	2	no	—
1632	D₄	—	212	2	no	—
1633	D₄	#41×D₅₃	1	2	yes	—
1634	C₂×C₄	—	2	2	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	4	1	no	—
1647	C₂×C₄	—	4	2	no	—
1648	C₂×C₄	—	4	2	no	—
1649	C₂×C₄	—	8	1	no	—
1650	C₂×C₄	—	8	1	no	—
1651	C₂×C₄	—	8	1	no	—
1652	C₂×C₄	—	8	1	no	—
1653	C₂×C₄	—	8	1	no	—
1654	C₂×C₄	—	8	1	no	—
1655	C₂×C₄	—	8	1	no	—
1656	C₂×C₄	—	8	1	no	—
1657	C₂×C₄	—	8	1	no	—
1658	C₂×C₄	—	106	1	no	—
1659	C₂×C₄	—	106	1	no	—
1660	C₂×C₄	—	106	1	no	—
1661	C₂×C₄	—	106	1	no	—
1662	C₂×C₄	—	106	1	no	—
1663	C₂×C₄	—	424	1	no	—
1664	C₂×C₄	—	424	1	no	—
1665	C₂×C₄	—	424	1	no	—
1666	C₂×C₄	—	424	1	no	—
1667	C₂×C₄	—	424	1	no	—
1668	C₂×C₄	—	424	1	no	—
1669	C₂×C₄	—	424	1	no	—
1670	C₂×C₄	—	424	1	no	—
1671	C₂×C₄	—	424	1	no	—
1672	C₂×C₄	—	212	2	no	—
1673	C₂×C₄	—	212	2	no	—
1674	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1675	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1676	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1677	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1678	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1679	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1680	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1681	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1682	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1683	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1684	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1685	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1686	C₈	—	53	2	no	—
1687	C₈	—	106	1	no	—
1688	C₈	—	106	1	no	—
1689	C₈	—	106	1	no	—
1690	C₈	—	106	1	no	—
1691	C₈	—	106	1	no	—
1692	C₈	—	106	1	no	—
1693	C₈	—	106	1	no	—
1694	C₂²	—	2	1	no	—
1695	C₂²	—	2	1	no	—
1696	C₂²	—	2	1	no	—
1697	C₂²	—	2	1	no	—
1698	C₂²	—	2	1	no	—
1699	C₂²	—	2	1	no	—
1700	C₂²	—	2	2	no	—
1701	C₂²	—	2	1	no	—
1702	C₂²	—	2	1	no	—
1703	C₂²	—	4	1	no	—
1704	C₂²	—	4	1	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	4	1	no	—
1708	C₂²	—	4	1	no	—
1709	C₂²	—	4	1	no	—
1710	C₂²	—	4	1	no	—
1711	C₂²	—	8	4	no	—
1712	C₂²	—	16	2	no	—
1713	C₂²	—	848	2	no	—
1714	C₂²	—	106	2	no	—
1715	C₂²	—	424	4	no	—
1716	C₂²	—	212	1	no	—
1717	C₂²	—	212	1	no	—
1718	C₂²	—	212	1	no	—
1719	C₂²	—	212	1	no	—
1720	C₂²	—	212	1	no	—
1721	C₂²	—	212	1	no	—
1722	C₂²	—	212	1	no	—
1723	C₂²	—	212	1	no	—
1724	C₂²	#16811426	1	2	yes	—
1725	C₂²	C₂³×C₂²⋊D₅₃	1	1	yes	characteristic
1726	C₄	—	2	1	no	—
1727	C₄	—	2	1	no	—
1728	C₄	—	2	1	no	—
1729	C₄	—	2	1	no	—
1730	C₄	—	2	1	no	—
1731	C₄	—	2	1	no	—
1732	C₄	—	2	1	no	—
1733	C₄	—	2	1	no	—
1734	C₄	—	2	1	no	—
1735	C₄	—	2	1	no	—
1736	C₄	—	2	1	no	—
1737	C₄	—	4	1	no	—
1738	C₄	—	4	1	no	—
1739	C₄	—	4	1	no	—
1740	C₄	—	4	1	no	—
1741	C₄	—	4	1	no	—
1742	C₄	—	212	1	no	—
1743	C₄	—	212	1	no	—
1744	C₄	—	212	1	no	—
1745	C₄	—	212	1	no	—
1746	C₄	—	212	1	no	—
1747	C₄	C₂×#41×D₅₃	1	1	yes	characteristic
1748	C₄	#16811459	1	1	yes	characteristic
1749	C₂	—	2	2	no	—
1750	C₂	—	4	1	no	—
1751	C₂	—	4	1	no	—
1752	C₂	—	4	2	no	—
1753	C₂	—	8	1	no	—
1754	C₂	—	8	1	no	—
1755	C₂	—	424	1	no	—
1756	C₂	—	424	1	no	—
1757	C₂	—	212	2	no	—
1758	C₂	#41×C₂²⋊D₅₃	1	1	yes	characteristic
1759	C₂	C₂×#16811426	1	1	yes	characteristic
1760	C₂	#20289486	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₅₃
commutator, cosocle	C₂×C₄×C₅₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅₃
Fitting	C₅₃×#3513	C₂
socle	C₂²×C₅₃	C₂³×D₄
hypercenter	#3513	D₅₃
hypocenter	C₅₃	#61489
LCS	G ▷ C₂×C₄×C₅₃ ▷ C₂×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3513

Complements

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

N	H ≅ G/N	type
1. #20288659	C₂	semidirect
2. #20287799	C₂	semidirect
3. #20287669	C₂	semidirect
4. #20287375	C₂	semidirect
5. #20287371	C₂	semidirect
6. #20287315	C₂	semidirect
7. #20287155	C₂	semidirect
8. #20287149	C₂	semidirect
9. #20286565	C₂	semidirect
10. #20286559	C₂	semidirect
11. #20286550	C₂	semidirect
12. #20286544	C₂	semidirect
13. #20286528	C₂	semidirect
14. #20286522	C₂	semidirect
15. #20286322	C₂	semidirect
16. #20286196	C₂	semidirect
17. #20286191	C₂	semidirect
18. #20285400	C₂	semidirect
19. #20285392	C₂	semidirect
20. #20285279	C₂	semidirect
21. #20284977	C₂	semidirect
22. #20284971	C₂	semidirect
23. #20284958	C₂	semidirect
24. #20284953	C₂	semidirect
25. #20284853	C₂	semidirect
26. #20284849	C₂	semidirect
27. #20283691	C₂	semidirect
28. #20283547	C₂	semidirect
29. #20283543	C₂	semidirect
30. C₂×C₄×#11719922	C₂	semidirect
31. C₅₃×#3513	C₂	semidirect
35. #16811358	C₂²	semidirect
36. #16811333	C₂²	semidirect
38. #16811319	C₂²	semidirect
39. #16811313	C₂²	semidirect
44. #16811269	C₂²	semidirect
46. D₄×D₂₁₂	C₂²	semidirect
47. #16811244	C₂²	semidirect
48. #16811228	C₂²	semidirect
51. #16811157	C₂²	semidirect
54. #16811103	C₂²	semidirect
55. #16811097	C₂²	semidirect
56. C₂×C₄×D₂₁₂	C₂²	semidirect
57. #16811033	C₂²	semidirect
58. #16811029	C₂²	semidirect
59. #16811022	C₂²	semidirect
60. #16811013	C₂²	semidirect
61. #16811010	C₂²	semidirect
62. #16811005	C₂²	semidirect
63. #16810980	C₂²	semidirect
64. #16810980	C₂²	semidirect
65. #16810977	C₂²	semidirect
66. #16810977	C₂²	semidirect
67. #16810971	C₂²	semidirect
68. #16810969	C₂²	semidirect
69. #16810958	C₂²	semidirect
70. #16810956	C₂²	semidirect
71. #16810953	C₂²	semidirect
72. #16810951	C₂²	semidirect
73. #16810947	C₂²	semidirect
74. #16810947	C₂²	semidirect
75. #16810944	C₂²	semidirect
76. #16810944	C₂²	semidirect
77. #16810936	C₂²	semidirect
78. #16810936	C₂²	semidirect
79. #16810934	C₂²	semidirect
80. #16810934	C₂²	semidirect
81. #16810923	C₂²	semidirect
82. #16810923	C₂²	semidirect
83. #16810923	C₂²	semidirect
84. #16810923	C₂²	semidirect
85. #16810920	C₂²	semidirect
86. #16810920	C₂²	semidirect
87. #16810920	C₂²	semidirect
88. #16810920	C₂²	semidirect
89. #16810918	C₂²	semidirect
90. #16810915	C₂²	semidirect
91. #16810903	C₂²	semidirect
92. #16810900	C₂²	semidirect
93. #16810874	C₂²	semidirect
94. #16810874	C₂²	semidirect
95. #16810871	C₂²	semidirect
96. #16810867	C₂²	semidirect
97. #16810862	C₂²	semidirect
99. #16810857	C₂²	semidirect
100. #16810857	C₂²	semidirect
101. #16810854	C₂²	semidirect
102. #16810854	C₂²	semidirect
103. #16810850	C₂²	semidirect
104. #16810850	C₂²	semidirect
105. #16810845	C₂²	semidirect
106. #16810842	C₂²	semidirect
107. #16810838	C₂²	semidirect
108. #16810838	C₂²	semidirect
109. #16810838	C₂²	semidirect
110. #16810835	C₂²	semidirect
111. #16810835	C₂²	semidirect
112. #16810835	C₂²	semidirect
114. #16810818	C₂²	semidirect
116. #16810815	C₂²	semidirect
117. #16810785	C₂²	semidirect
118. #16810783	C₂²	semidirect
119. #16810774	C₂²	semidirect
120. #16810773	C₂²	semidirect
124. #16810757	C₂²	semidirect
125. #16810757	C₂²	semidirect
127. #16810756	C₂²	semidirect
128. #16810756	C₂²	semidirect
129. #16810754	C₂²	semidirect
130. Q₈×#88322	C₂²	semidirect
133. #16810733	C₂²	semidirect
134. #16810733	C₂²	semidirect
135. #16810733	C₂²	semidirect
136. #16810733	C₂²	semidirect
137. #16810723	C₂²	semidirect
138. #16810723	C₂²	semidirect
139. #16810723	C₂²	semidirect
140. #16810721	C₂²	semidirect
141. #16810721	C₂²	semidirect
142. #16810721	C₂²	semidirect
143. C₄×#11719925	C₂²	semidirect
144. C₄×#11719924	C₂²	semidirect
145. C₄×#11719924	C₂²	semidirect
146. C₄×#11719923	C₂²	semidirect
147. C₄×#11719923	C₂²	semidirect
150. C₄×#11719922	C₂²	semidirect
151. C₄×#11719922	C₂²	semidirect
152. C₄×#11719922	C₂²	semidirect
153. C₄×#11719922	C₂²	semidirect
154. C₄×#11719922	C₂²	semidirect
155. C₄×#11719922	C₂²	semidirect
156. C₄×#11719922	C₂²	semidirect
157. C₄×#11719922	C₂²	semidirect
158. C₄×#11719922	C₂²	semidirect
159. #16810701	C₂²	semidirect
160. #16810695	C₂²	semidirect
161. #16810695	C₂²	semidirect
162. D₄×#88322	C₂²	semidirect
163. D₄×#88322	C₂²	semidirect
164. D₄×#88322	C₂²	semidirect
165. #16810684	C₂²	semidirect
166. #16810684	C₂²	semidirect
167. #16810680	C₂²	semidirect
168. #16810666	C₂²	semidirect
169. #16810663	C₂²	semidirect
170. C₂×#13133150	C₂²	semidirect
171. #16810619	C₂²	semidirect
172. #16810617	C₂²	semidirect
173. C₂×#13133138	C₂²	semidirect
174. C₂×#13133138	C₂²	semidirect
175. C₂×#13133137	C₂²	semidirect
176. C₂×#13133137	C₂²	semidirect
177. #16810579	C₂²	semidirect
178. #16810579	C₂²	semidirect
179. C₂×C₄×#88322	C₂²	semidirect
180. C₅₃×#559	C₂²	semidirect
181. C₅₃×#554	C₂²	semidirect
183. C₅₃×#553	C₂²	semidirect
184. C₅₃×#552	C₂²	semidirect
190. C₅₃×#546	C₂²	semidirect
191. D₄²×C₅₃	C₂²	semidirect
192. C₅₃×#542	C₂²	semidirect
193. C₅₃×#540	C₂²	semidirect
197. C₅₃×#529	C₂²	semidirect
200. C₅₃×#520	C₂²	semidirect
201. C₅₃×#518	C₂²	semidirect
202. C₂×C₄×D₄×C₅₃	C₂²	semidirect
643. #11719922	#41	semidirect
870. #3513	D₅₃	semidirect
916. #559	C₂×D₅₃	semidirect
918. #554	C₂×D₅₃	semidirect
922. #553	C₂×D₅₃	semidirect
924. #552	C₂×D₅₃	semidirect
936. #546	C₂×D₅₃	semidirect
938. D₄²	C₂×D₅₃	semidirect
940. #542	C₂×D₅₃	semidirect
942. #540	C₂×D₅₃	semidirect
949. #529	C₂×D₅₃	semidirect
955. #520	C₂×D₅₃	semidirect
957. #518	C₂×D₅₃	semidirect
959. C₂×C₄×D₄	C₂×D₅₃	semidirect
1083. C₅₃	#61489	semidirect

Maximal subgroups

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

subgroup	index
#20288659	2
#20287799	2
#20287669	2
#20287375	2
#20287371	2
#20287315	2
#20287155	2
#20287149	2
#20286565	2
#20286559	2
#20286550	2
#20286544	2
#20286528	2
#20286522	2
#20286322	2
#20286196	2
#20286191	2
#20285400	2
#20285392	2
#20285279	2
#20284977	2
#20284971	2
#20284958	2
#20284953	2
#20284853	2
#20284849	2
#20283691	2
#20283547	2
#20283543	2
C₂×C₄×#11719922	2
C₅₃×#3513	2
#61489	53