Subgroups — #14247467

Order 1792.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3521	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743205	C₂	1	1	yes	maximal, characteristic, complemented
3	#11741125	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741119	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741117	C₂	1	1	yes	maximal, characteristic, complemented
6	#11741109	C₂	1	1	yes	maximal, characteristic, complemented
7	#11741089	C₂	1	1	yes	maximal, characteristic, complemented
8	#11741084	C₂	1	1	yes	maximal, characteristic, complemented
9	#11741063	C₂	1	1	yes	maximal, characteristic, complemented
10	#11741060	C₂	1	1	yes	maximal, characteristic, complemented
11	#11741049	C₂	1	1	yes	maximal, characteristic, complemented
12	#11741048	C₂	1	1	yes	maximal, characteristic, complemented
13	#11740973	C₂	1	1	yes	maximal, characteristic, complemented
14	#11740969	C₂	1	1	yes	maximal, characteristic, complemented
15	#11740954	C₂	1	1	yes	maximal, characteristic, complemented
16	#11740952	C₂	1	1	yes	maximal, characteristic, complemented
17	#11740951	C₂	1	1	yes	maximal, characteristic, complemented
18	#11740948	C₂	1	1	yes	maximal, characteristic, complemented
19	#11740911	C₂	1	1	yes	maximal, characteristic, complemented
20	#11740909	C₂	1	1	yes	maximal, characteristic, complemented
21	#11740897	C₂	1	1	yes	maximal, characteristic, complemented
22	#11740894	C₂	1	1	yes	maximal, characteristic, complemented
23	#11740600	C₂	1	1	yes	maximal, characteristic, complemented
24	#11740592	C₂	1	1	yes	maximal, characteristic, complemented
25	#11740575	C₂	1	1	yes	maximal, characteristic, complemented
26	#11740021	C₂	1	1	yes	maximal, characteristic, complemented
27	#11740017	C₂	1	1	yes	maximal, characteristic, complemented
28	#11739989	C₂	1	1	yes	maximal, characteristic, complemented
29	#11739986	C₂	1	1	yes	maximal, characteristic, complemented
30	#11739980	C₂	1	1	yes	maximal, characteristic, complemented
31	#11739970	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#556	C₂²	1	1	yes	characteristic
33	C₇×#556	C₂²	1	1	yes	characteristic
34	C₇×#554	C₂²	1	1	yes	characteristic
35	C₇×#553	—	2	1	no	—
36	C₇×#553	C₂²	1	1	yes	characteristic
37	C₇×#552	—	2	1	no	—
38	C₇×#552	C₂²	1	1	yes	characteristic
39	C₇×#551	—	2	1	no	—
40	C₇×#551	—	2	1	no	—
41	C₇×#547	C₂²	1	1	yes	characteristic
42	C₇×#546	C₂²	1	1	yes	characteristic
43	C₇×#546	C₂²	1	1	yes	characteristic
44	C₇×#542	C₂²	1	1	yes	characteristic
45	C₇×#541	C₂²	1	1	yes	characteristic
46	C₇×#539	—	2	1	no	—
47	C₇×#538	—	2	1	no	—
48	C₇×#529	—	2	1	no	—
49	C₇×#529	C₂²	1	1	yes	characteristic
50	C₇×#529	C₂²	1	1	yes	characteristic
51	C₂×C₇×#126	—	2	1	no	—
52	C₇×#520	C₂²	1	1	yes	characteristic
53	C₇×#518	C₂²	1	1	yes	characteristic
54	C₄×C₇×#41	C₂²	1	1	yes	characteristic
55	C₂×#6514	C₂²	1	1	yes	characteristic
56	C₂×#6513	C₂²	1	1	yes	characteristic
57	C₂×#6513	C₂²	1	1	yes	characteristic
58	C₂×#6513	C₂²	1	1	yes	characteristic
59	C₂²×#1142	C₂²	1	1	yes	characteristic
60	C₂×#6495	C₂²	1	1	yes	characteristic
61	#90398	—	2	1	no	—
62	#90398	—	2	1	no	—
63	#90381	—	2	1	no	—
64	#90372	—	2	1	no	—
65	#90358	—	2	1	no	—
66	#90358	—	2	1	no	—
67	#90334	—	2	1	no	—
68	#90310	—	2	1	no	—
69	#90276	C₂²	1	1	yes	characteristic, complemented
70	#90261	C₂²	1	1	yes	characteristic, complemented
71	#90244	C₂²	1	1	yes	characteristic
72	#90243	C₂²	1	1	yes	characteristic
73	#90243	C₂²	1	1	yes	characteristic, complemented
74	#90242	C₂²	1	1	yes	characteristic
75	#90242	C₂²	1	1	yes	characteristic, complemented
76	D₄×Dic₁₄	C₂²	1	1	yes	characteristic
77	#90225	C₂²	1	1	yes	characteristic
78	#90225	C₂²	1	1	yes	characteristic, complemented
79	#90217	C₂²	1	1	yes	characteristic
80	#90217	C₂²	1	1	yes	characteristic, complemented
81	#90168	C₂²	1	1	yes	characteristic, complemented
82	#90161	C₂²	1	1	yes	characteristic, complemented
83	#90011	C₂²	1	1	yes	characteristic
84	#90011	C₂²	1	1	yes	characteristic
85	#90011	C₂²	1	1	yes	characteristic
86	#90010	C₂²	1	1	yes	characteristic
87	#89990	C₂²	1	1	yes	characteristic
88	#89989	C₂²	1	1	yes	characteristic
89	#89865	C₂²	1	1	yes	characteristic, complemented
90	#89864	C₂²	1	1	yes	characteristic, complemented
91	#89863	C₂²	1	1	yes	characteristic, complemented
92	#89862	C₂²	1	1	yes	characteristic, complemented
93	#89861	C₂²	1	1	yes	characteristic, complemented
94	#89859	C₂²	1	1	yes	characteristic, complemented
95	#89858	C₂²	1	1	yes	characteristic, complemented
96	#89855	C₂²	1	1	yes	characteristic, complemented
97	#89841	C₂²	1	1	yes	characteristic, complemented
98	#89841	C₂²	1	1	yes	characteristic, complemented
99	#89840	C₂²	1	1	yes	characteristic, complemented
100	#89839	C₂²	1	1	yes	characteristic, complemented
101	#89838	C₂²	1	1	yes	characteristic, complemented
102	#89835	C₂²	1	1	yes	characteristic, complemented
103	#89835	C₂²	1	1	yes	characteristic, complemented
104	#89835	C₂²	1	1	yes	characteristic, complemented
105	#89832	C₂²	1	1	yes	characteristic
106	#89832	C₂²	1	1	yes	characteristic
107	#89831	C₂²	1	1	yes	characteristic
108	#89830	C₂²	1	1	yes	characteristic
109	#89829	C₂²	1	1	yes	characteristic
110	#89826	C₂²	1	1	yes	characteristic
111	#89826	C₂²	1	1	yes	characteristic
112	#89826	C₂²	1	1	yes	characteristic
113	#89824	C₂²	1	1	yes	characteristic
114	#89823	C₂²	1	1	yes	characteristic
115	#89823	C₂²	1	1	yes	characteristic, complemented
116	#89823	C₂²	1	1	yes	characteristic, complemented
117	#89823	C₂²	1	1	yes	characteristic, complemented
118	#89822	C₂²	1	1	yes	characteristic
119	#89822	C₂²	1	1	yes	characteristic
120	#89822	C₂²	1	1	yes	characteristic, complemented
121	#89821	C₂²	1	1	yes	characteristic
122	#89821	C₂²	1	1	yes	characteristic, complemented
123	#89820	C₂²	1	1	yes	characteristic
124	#89819	C₂²	1	1	yes	characteristic
125	#89819	C₂²	1	1	yes	characteristic
126	#89819	C₂²	1	1	yes	characteristic, complemented
127	#89819	C₂²	1	1	yes	characteristic, complemented
128	#89819	C₂²	1	1	yes	characteristic, complemented
129	#89814	C₂²	1	1	yes	characteristic
130	#89813	C₂²	1	1	yes	characteristic
131	#89813	C₂²	1	1	yes	characteristic
132	#89812	C₂²	1	1	yes	characteristic
133	#89810	C₂²	1	1	yes	characteristic
134	#89809	C₂²	1	1	yes	characteristic
135	#89809	C₂²	1	1	yes	characteristic
136	#89809	C₂²	1	1	yes	characteristic
137	#89803	C₂²	1	1	yes	characteristic, complemented
138	#89803	C₂²	1	1	yes	characteristic, complemented
139	#89803	C₂²	1	1	yes	characteristic, complemented
140	#89803	C₂²	1	1	yes	characteristic, complemented
141	#89802	C₂²	1	1	yes	characteristic, complemented
142	#89802	C₂²	1	1	yes	characteristic, complemented
143	#89802	C₂²	1	1	yes	characteristic, complemented
144	#89800	C₂²	1	1	yes	characteristic, complemented
145	#89800	C₂²	1	1	yes	characteristic, complemented
146	#89800	C₂²	1	1	yes	characteristic, complemented
147	#89800	C₂²	1	1	yes	characteristic, complemented
148	#89800	C₂²	1	1	yes	characteristic, complemented
149	#89799	C₂²	1	1	yes	characteristic, complemented
150	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
151	#89796	C₂²	1	1	yes	characteristic, complemented
152	#89796	C₂²	1	1	yes	characteristic, complemented
153	#89793	C₂²	1	1	yes	characteristic, complemented
154	#89792	C₂²	1	1	yes	characteristic, complemented
155	#89791	C₂²	1	1	yes	characteristic
156	#89791	C₂²	1	1	yes	characteristic
157	#89791	C₂²	1	1	yes	characteristic
158	#89791	C₂²	1	1	yes	characteristic
159	#89791	C₂²	1	1	yes	characteristic
160	#89791	C₂²	1	1	yes	characteristic
161	#89790	C₂²	1	1	yes	characteristic
162	#89790	C₂²	1	1	yes	characteristic
163	#89790	C₂²	1	1	yes	characteristic
164	C₄×#1142	C₂²	1	1	yes	characteristic
165	C₄×#1142	C₂²	1	1	yes	characteristic
166	#89788	C₂²	1	1	yes	characteristic
167	#89788	C₂²	1	1	yes	characteristic
168	#89788	C₂²	1	1	yes	characteristic
169	#89788	C₂²	1	1	yes	characteristic
170	#89788	C₂²	1	1	yes	characteristic
171	#89788	C₂²	1	1	yes	characteristic
172	#89788	C₂²	1	1	yes	characteristic
173	#89787	C₂²	1	1	yes	characteristic
174	#89786	C₂²	1	1	yes	characteristic
175	#89786	C₂²	1	1	yes	characteristic
176	C₄×#1141	C₂²	1	1	yes	characteristic
177	#89783	C₂²	1	1	yes	characteristic
178	#89783	C₂²	1	1	yes	characteristic
179	#89783	C₂²	1	1	yes	characteristic
180	#89783	C₂²	1	1	yes	characteristic, complemented
181	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
182	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
183	#89780	C₂²	1	1	yes	characteristic
184	#89779	C₂²	1	1	yes	characteristic
185	#89776	C₂²	1	1	yes	characteristic
186	#89775	C₂²	1	1	yes	characteristic
187	#89774	C₂²	1	1	yes	characteristic
188	#89774	C₂²	1	1	yes	characteristic, complemented
189	#89774	C₂²	1	1	yes	characteristic, complemented
190	#89772	C₂²	1	1	yes	characteristic
191	#89772	C₂²	1	1	yes	characteristic, complemented
192	#89771	C₂²	1	1	yes	characteristic
193	#89771	C₂²	1	1	yes	characteristic, complemented
194	#89768	C₂²	1	1	yes	characteristic
195	#89768	C₂²	1	1	yes	characteristic, complemented
196	#89768	C₂²	1	1	yes	characteristic, complemented
197	#89743	C₂²	1	1	yes	characteristic, complemented
198	C₂×#6384	C₂²	1	1	yes	characteristic, complemented
199	#89740	C₂²	1	1	yes	characteristic, complemented
200	#89738	C₂²	1	1	yes	characteristic, complemented
201	#89698	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
203	#62023	—	7	1	no	maximal, Sylow
204	C₂×C₇×#41	C₂³	1	1	yes	characteristic
205	C₂×C₇×#41	C₂³	1	1	yes	characteristic
206	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
207	C₂×#1157	C₂³	1	1	yes	characteristic
208	C₂×#1157	C₂³	1	1	yes	characteristic
209	C₂×#1157	C₂³	1	1	yes	characteristic
210	C₂×#1157	C₂³	1	1	yes	characteristic
211	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
212	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
213	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₇×#126	—	2	1	no	—
216	C₇×#126	—	2	1	no	—
217	C₇×#126	—	2	1	no	—
218	C₇×#126	—	2	1	no	—
219	C₇×#126	—	2	1	no	—
220	C₇×#126	—	2	1	no	—
221	C₇×#126	—	2	1	no	—
222	C₇×#126	—	2	1	no	—
223	C₇×#126	—	2	1	no	—
224	C₇×#126	—	2	1	no	—
225	C₇×#126	D₄	1	1	yes	characteristic
226	C₇×#126	D₄	1	1	yes	characteristic
227	C₇×#125	—	2	1	no	—
228	C₇×#125	—	2	1	no	—
229	C₇×#125	—	2	1	no	—
230	C₇×#125	D₄	1	1	yes	characteristic
231	C₇×#125	C₂³	1	1	yes	characteristic
232	C₇×#125	C₂³	1	1	yes	characteristic
233	C₇×#124	—	2	1	no	—
234	C₇×#124	—	2	1	no	—
235	C₇×#124	D₄	1	1	yes	characteristic
236	C₇×#124	C₂³	1	1	yes	characteristic
237	C₇×#124	C₂³	1	1	yes	characteristic
238	C₇×#123	—	2	1	no	—
239	C₇×#123	—	2	1	no	—
240	C₇×#123	—	2	1	no	—
241	C₇×#123	—	2	1	no	—
242	C₇×#123	—	2	1	no	—
243	C₇×#123	—	2	1	no	—
244	C₇×#123	—	2	1	no	—
245	C₇×#123	—	2	1	no	—
246	C₇×#123	D₄	1	1	yes	characteristic
247	C₇×#123	D₄	1	1	yes	characteristic
248	C₇×C₂²⋊Q₈	—	2	1	no	—
249	C₇×C₂²⋊Q₈	—	2	1	no	—
250	C₇×C₂²⋊Q₈	—	2	1	no	—
251	C₇×C₂²⋊Q₈	—	2	1	no	—
252	C₇×C₂²⋊Q₈	—	2	1	no	—
253	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
254	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
258	C₇×#121	—	2	1	no	—
259	C₇×#121	—	2	1	no	—
260	C₇×#121	—	2	1	no	—
261	C₇×#121	—	2	1	no	—
262	C₇×#121	D₄	1	1	yes	characteristic
263	C₇×#121	C₂³	1	1	yes	characteristic
264	C₇×#121	C₂³	1	1	yes	characteristic
265	C₇×#120	—	2	1	no	—
266	C₇×#120	—	2	1	no	—
267	C₄×C₇×Q₈	—	2	1	no	—
268	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
269	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
270	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
271	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
272	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
273	C₄×C₇×D₄	—	2	1	no	—
274	C₄×C₇×D₄	—	2	1	no	—
275	C₄×C₇×D₄	—	2	1	no	—
276	C₄×C₇×D₄	—	2	1	no	—
277	C₄×C₇×D₄	—	2	1	no	—
278	C₄×C₇×D₄	—	2	1	no	—
279	C₄×C₇×D₄	—	2	1	no	—
280	C₄×C₇×D₄	—	2	1	no	—
281	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
282	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
283	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
284	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
285	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
286	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
287	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
288	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
289	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
290	C₇×#117	—	2	1	no	—
291	C₇×#117	—	2	1	no	—
292	C₇×#117	—	2	1	no	—
293	C₇×#117	—	2	1	no	—
294	C₇×#117	—	2	1	no	—
295	C₇×#117	C₂³	1	1	yes	characteristic
296	C₇×#117	C₂³	1	1	yes	characteristic
297	C₇×#117	C₂³	1	1	yes	characteristic
298	C₇×#117	C₂³	1	1	yes	characteristic
299	C₂×C₇×C₄⋊C₄	—	2	1	no	—
300	C₂×C₇×C₄⋊C₄	—	2	1	no	—
301	C₂×C₇×C₄⋊C₄	—	2	1	no	—
302	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
304	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
305	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
306	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
307	C₂×C₄²×C₇	—	2	1	no	—
308	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
309	#6514	—	4	2	no	—
310	#6513	—	4	2	no	—
311	#6513	—	4	2	no	—
312	#6513	—	4	2	no	—
313	#6510	—	2	1	no	—
314	Q₈×Dic₇	—	2	1	no	—
315	C₂×#1144	C₂³	1	1	yes	characteristic
316	C₂×#1144	C₂³	1	1	yes	characteristic
317	C₂×#1144	C₂³	1	1	yes	characteristic
318	C₂×#1144	C₂³	1	1	yes	characteristic
319	C₂×#1144	C₂³	1	1	yes	characteristic
320	C₂×#1144	C₂³	1	1	yes	characteristic
321	C₂×#1144	C₂³	1	1	yes	characteristic
322	C₂×#1144	C₂³	1	1	yes	characteristic
323	C₂×#1143	C₂³	1	1	yes	characteristic
324	C₂×#1143	C₂³	1	1	yes	characteristic
325	C₂×#1143	C₂³	1	1	yes	characteristic
326	C₂×#1143	C₂³	1	1	yes	characteristic
327	#6503	—	2	1	no	—
328	#6502	—	2	1	no	—
329	#6502	—	2	1	no	—
330	#6501	—	2	1	no	—
331	#6501	—	2	1	no	—
332	D₄×Dic₇	—	2	1	no	—
333	C₂×#1142	—	4	2	no	—
334	C₂×#1142	C₂³	1	1	yes	characteristic
335	C₂×#1142	C₂³	1	1	yes	characteristic
336	C₂×#1142	C₂³	1	1	yes	characteristic
337	C₂×#1142	C₂³	1	1	yes	characteristic
338	C₂×#1142	C₂³	1	1	yes	characteristic
339	C₂×#1142	C₂³	1	1	yes	characteristic
340	C₂×#1142	C₂³	1	1	yes	characteristic
341	C₂×#1142	C₂³	1	1	yes	characteristic
342	#6495	—	4	2	no	—
343	C₂×#1141	C₂³	1	1	yes	characteristic
344	C₂×#1141	C₂³	1	1	yes	characteristic
345	C₂×#1141	C₂³	1	1	yes	characteristic
346	C₂×#1141	C₂³	1	1	yes	characteristic
347	#6493	—	2	1	no	—
348	#6493	—	2	1	no	—
349	#6493	C₂³	1	1	yes	characteristic
350	#6493	C₂³	1	1	yes	characteristic
351	#6489	—	2	1	no	—
352	#6487	—	2	1	no	—
353	#6487	C₂³	1	1	yes	characteristic
354	#6487	C₂³	1	1	yes	characteristic
355	#6487	C₂³	1	1	yes	characteristic
356	#6487	C₂³	1	1	yes	characteristic
357	C₂×#1136	C₂³	1	1	yes	characteristic
358	C₂×#1136	C₂³	1	1	yes	characteristic
359	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
360	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
361	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
362	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
363	#6461	—	2	1	no	—
364	#6461	—	2	1	no	—
365	#6460	—	2	1	no	—
366	#6460	—	2	1	no	—
367	#6460	—	2	1	no	—
368	#6460	—	2	1	no	—
369	#6459	—	2	1	no	—
370	#6459	—	2	1	no	—
371	#6459	—	2	1	no	—
372	#6459	—	2	1	no	—
373	#6457	—	2	1	no	—
374	#6457	—	2	1	no	—
375	#6456	—	2	1	no	—
376	#6456	—	2	1	no	—
377	D₇×C₄⋊C₄	—	2	1	no	—
378	D₇×C₄⋊C₄	—	2	1	no	—
379	#6453	—	2	1	no	—
380	#6453	—	2	1	no	—
381	#6453	—	2	1	no	—
382	#6451	—	2	1	no	—
383	#6449	—	2	1	no	—
384	#6449	—	2	1	no	—
385	#6449	—	2	1	no	—
386	#6449	—	2	1	no	—
387	#6448	—	2	1	no	—
388	#6448	—	2	1	no	—
389	#6448	—	2	1	no	—
390	#6448	—	2	1	no	—
391	#6447	—	2	1	no	—
392	#6447	—	2	1	no	—
393	#6446	—	2	1	no	—
394	#6446	—	2	1	no	—
395	#6446	—	2	1	no	—
396	#6446	—	2	1	no	—
397	#6446	—	2	1	no	—
398	#6446	—	2	1	no	—
399	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
400	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
401	#6441	—	2	1	no	—
402	#6441	—	2	1	no	—
403	#6438	C₂³	1	1	yes	characteristic
404	#6438	C₂³	1	1	yes	characteristic
405	#6438	C₂³	1	1	yes	characteristic
406	#6438	C₂³	1	1	yes	characteristic
407	#6437	C₂³	1	1	yes	characteristic
408	C₄×D₂₈	—	2	1	no	—
409	C₄×D₂₈	—	2	1	no	—
410	C₄×D₂₈	C₂³	1	1	yes	characteristic
411	C₄×D₂₈	C₂³	1	1	yes	characteristic
412	#6433	—	2	1	no	—
413	#6432	C₂³	1	1	yes	characteristic
414	#6432	C₂³	1	1	yes	characteristic
415	#6432	C₂³	1	1	yes	characteristic
416	#6432	C₂³	1	1	yes	characteristic
417	#6432	C₂³	1	1	yes	characteristic
418	C₄×Dic₁₄	—	2	1	no	—
419	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
420	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
421	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
422	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
423	#6409	C₂³	1	1	yes	characteristic
424	#6409	C₂³	1	1	yes	characteristic
425	#6409	C₂³	1	1	yes	characteristic
426	#6409	C₂³	1	1	yes	characteristic
427	#6406	C₂³	1	1	yes	characteristic
428	#6406	C₂³	1	1	yes	characteristic
429	#6406	C₂³	1	1	yes	characteristic
430	#6406	C₂³	1	1	yes	characteristic
431	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
432	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
433	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
434	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
435	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
436	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
437	#6384	C₂³	1	1	yes	characteristic
438	#6384	C₂³	1	1	yes	characteristic
439	#6384	C₂³	1	1	yes	characteristic
440	#6384	C₂³	1	1	yes	characteristic
441	#6384	C₂³	1	1	yes	characteristic
442	#6384	C₂³	1	1	yes	characteristic
443	#6384	C₂³	1	1	yes	characteristic
444	#6384	C₂³	1	1	yes	characteristic
445	#6384	C₂³	1	1	yes	characteristic
446	#6384	C₂³	1	1	yes	characteristic
447	#6384	C₂³	1	1	yes	characteristic
448	#6384	C₂³	1	1	yes	characteristic
449	#6384	C₂³	1	1	yes	characteristic
450	#6384	C₂³	1	1	yes	characteristic
451	#6384	C₂³	1	1	yes	characteristic
452	#6384	C₂³	1	1	yes	characteristic
453	#6383	C₂³	1	1	yes	characteristic
454	#6383	C₂³	1	1	yes	characteristic
455	#6383	C₂³	1	1	yes	characteristic
456	#6383	C₂³	1	1	yes	characteristic
457	#6383	C₂³	1	1	yes	characteristic
458	#6383	C₂³	1	1	yes	characteristic
459	#6383	C₂³	1	1	yes	characteristic
460	#6383	C₂³	1	1	yes	characteristic
461	#6382	C₂³	1	1	yes	characteristic
462	#6382	C₂³	1	1	yes	characteristic
463	#6382	C₂³	1	1	yes	characteristic
464	#6382	C₂³	1	1	yes	characteristic
465	#6381	C₂³	1	1	yes	characteristic
466	#6381	C₂³	1	1	yes	characteristic
467	#6381	C₂³	1	1	yes	characteristic
468	#6381	C₂³	1	1	yes	characteristic
469	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
470	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
471	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
472	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
473	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
474	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
475	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
476	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
477	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
478	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
479	#6377	C₂³	1	1	yes	characteristic
480	#6377	C₂³	1	1	yes	characteristic
481	#6377	C₂³	1	1	yes	characteristic
482	#6377	C₂³	1	1	yes	characteristic
483	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
484	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
485	#3554	—	7	1	no	—
486	#3521	D₇	1	1	yes	characteristic, complemented
487	#3401	—	7	1	no	—
488	#3398	—	7	1	no	—
489	#3372	—	7	1	no	—
490	#3370	—	7	1	no	—
491	#3317	—	7	1	no	—
492	#3313	—	7	1	no	—
493	#3312	—	7	1	no	—
494	#3307	—	7	1	no	—
495	#3302	—	7	1	no	—
496	#3301	—	7	1	no	—
497	#3283	—	7	1	no	—
498	#3282	—	7	1	no	—
499	#3269	—	7	1	no	—
500	#3268	—	7	1	no	—
501	#3267	—	7	1	no	—
502	#3266	—	7	1	no	—
503	#3262	—	7	1	no	—
504	#3258	—	7	1	no	—
505	#3248	—	7	1	no	—
506	#3225	—	7	1	no	—
507	#3223	—	7	1	no	—
508	#3219	—	7	1	no	—
509	#3125	—	7	1	no	—
510	#3118	—	7	1	no	—
511	#3116	—	7	1	no	—
512	#3046	—	7	1	no	—
513	#3042	—	7	1	no	—
514	#3035	—	7	1	no	—
515	#2992	—	7	1	no	—
516	C₂⁴×C₇	—	2	1	no	—
517	C₇×#41	—	2	2	no	—
518	C₇×#41	—	2	2	no	—
519	C₇×#41	—	4	1	no	—
520	C₇×#41	—	4	1	no	—
521	C₂×C₇×Q₈	—	2	1	no	—
522	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
523	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
525	C₂×C₇×D₄	—	2	2	no	—
526	C₂×C₇×D₄	—	2	1	no	—
527	C₂×C₇×D₄	—	2	1	no	—
528	C₂×C₇×D₄	—	2	1	no	—
529	C₂×C₇×D₄	—	2	1	no	—
530	C₂×C₇×D₄	—	2	1	no	—
531	C₂×C₇×D₄	—	4	1	no	—
532	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
533	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
534	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
535	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
536	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₇	—	2	1	no	—
538	C₂²×C₄×C₇	—	2	1	no	—
539	C₂²×C₄×C₇	—	2	1	no	—
540	C₂²×C₄×C₇	—	2	1	no	—
541	C₂²×C₄×C₇	—	2	1	no	—
542	C₂²×C₄×C₇	—	2	1	no	—
543	C₂²×C₄×C₇	—	2	1	no	—
544	C₂²×C₄×C₇	—	2	1	no	—
545	C₂²×C₄×C₇	—	2	1	no	—
546	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
547	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
548	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
551	C₂×C₂²⋊D₇	—	2	1	no	—
552	C₂×C₂²⋊D₇	—	2	1	no	—
553	C₂×C₂²⋊D₇	—	2	1	no	—
554	C₂×C₂²⋊D₇	—	2	1	no	—
555	C₂×C₂²⋊D₇	—	2	1	no	—
556	C₂×C₂²⋊D₇	—	2	1	no	—
557	C₂²×Dic₇	—	2	1	no	—
558	C₂²×Dic₇	—	2	1	no	—
559	#1157	—	4	1	no	—
560	#1157	—	4	1	no	—
561	#1157	—	4	1	no	—
562	#1157	—	4	1	no	—
563	#1157	—	4	1	no	—
564	#1157	—	4	1	no	—
565	#1157	—	4	1	no	—
566	#1157	—	4	1	no	—
567	C₂×D₂₈	—	2	1	no	—
568	C₂×D₂₈	—	2	1	no	—
569	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
570	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
571	C₂×C₄×D₇	—	2	1	no	—
572	C₂×C₄×D₇	—	2	1	no	—
573	C₂×C₄×D₇	—	2	1	no	—
574	C₂×C₄×D₇	—	2	1	no	—
575	C₂×C₄×D₇	—	2	1	no	—
576	C₂×C₄×D₇	—	2	1	no	—
577	C₂×Dic₁₄	—	2	1	no	—
578	C₂×Dic₁₄	—	2	1	no	—
579	C₂×Dic₁₄	—	2	1	no	—
580	C₂×Dic₁₄	—	4	1	no	—
581	C₂×Dic₁₄	—	4	1	no	—
582	C₂×Dic₁₄	—	4	1	no	—
583	C₂×Dic₁₄	—	4	1	no	—
584	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
585	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
586	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
587	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
588	C₇×C₄⋊C₄	—	2	1	no	—
589	C₇×C₄⋊C₄	—	2	1	no	—
590	C₇×C₄⋊C₄	—	2	1	no	—
591	C₇×C₄⋊C₄	—	2	1	no	—
592	C₇×C₄⋊C₄	—	2	1	no	—
593	C₇×C₄⋊C₄	—	2	1	no	—
594	C₇×C₄⋊C₄	—	2	1	no	—
595	C₇×C₄⋊C₄	—	2	1	no	—
596	C₇×C₄⋊C₄	—	2	1	no	—
597	C₇×C₄⋊C₄	—	2	1	no	—
598	C₇×C₄⋊C₄	—	2	1	no	—
599	C₇×C₄⋊C₄	—	2	1	no	—
600	C₇×C₄⋊C₄	—	2	1	no	—
601	C₇×C₄⋊C₄	—	2	1	no	—
602	C₇×C₄⋊C₄	—	2	1	no	—
603	C₇×C₄⋊C₄	—	2	1	no	—
604	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
605	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
607	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
608	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
615	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
616	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
617	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₇×C₂²⋊C₄	—	2	1	no	—
619	C₇×C₂²⋊C₄	—	2	1	no	—
620	C₇×C₂²⋊C₄	—	2	1	no	—
621	C₇×C₂²⋊C₄	—	2	1	no	—
622	C₇×C₂²⋊C₄	—	2	1	no	—
623	C₇×C₂²⋊C₄	—	2	1	no	—
624	C₇×C₂²⋊C₄	—	2	1	no	—
625	C₇×C₂²⋊C₄	—	2	1	no	—
626	C₇×C₂²⋊C₄	—	2	1	no	—
627	C₇×C₂²⋊C₄	—	2	1	no	—
628	C₇×C₂²⋊C₄	—	2	1	no	—
629	C₇×C₂²⋊C₄	—	2	1	no	—
630	C₇×C₂²⋊C₄	—	2	1	no	—
631	C₇×C₂²⋊C₄	—	2	1	no	—
632	C₇×C₂²⋊C₄	—	2	1	no	—
633	C₇×C₂²⋊C₄	—	2	1	no	—
634	C₇×C₂²⋊C₄	—	2	1	no	—
635	C₇×C₂²⋊C₄	—	2	1	no	—
636	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
643	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
645	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
646	C₄²×C₇	—	2	1	no	—
647	C₄²×C₇	—	2	1	no	—
648	C₄²×C₇	—	2	1	no	—
649	C₄²×C₇	—	2	1	no	—
650	C₄²×C₇	—	2	1	no	—
651	C₄²×C₇	—	2	1	no	—
652	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
653	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
654	C₄²×C₇	C₂⁴	1	1	yes	characteristic
655	C₄²×C₇	C₂⁴	1	1	yes	characteristic
656	C₄²×C₇	C₂⁴	1	1	yes	characteristic
657	C₄²×C₇	C₂⁴	1	1	yes	characteristic
658	C₂²⋊Dic₇	—	2	1	no	—
659	C₂²⋊Dic₇	—	2	1	no	—
660	C₂²⋊Dic₇	—	2	1	no	—
661	C₂²⋊Dic₇	—	2	1	no	—
662	#1144	—	4	1	no	—
663	#1144	—	4	1	no	—
664	#1144	—	4	1	no	—
665	#1144	—	4	1	no	—
666	#1144	—	4	1	no	—
667	#1144	—	4	1	no	—
668	#1144	—	4	1	no	—
669	#1144	—	4	1	no	—
670	#1143	—	4	1	no	—
671	#1143	—	4	1	no	—
672	#1143	—	4	1	no	—
673	#1143	—	4	1	no	—
674	#1142	—	2	2	no	—
675	#1142	—	2	2	no	—
676	#1142	—	2	2	no	—
677	#1142	—	2	2	no	—
678	#1142	—	4	1	no	—
679	#1142	—	4	1	no	—
680	#1142	—	4	1	no	—
681	#1142	—	4	1	no	—
682	#1141	—	2	2	no	—
683	#1141	—	2	2	no	—
684	#1141	—	4	1	no	—
685	#1141	—	4	1	no	—
686	(C₂×D₇)⋊C₄	—	2	1	no	—
687	(C₂×D₇)⋊C₄	—	2	1	no	—
688	(C₂×D₇)⋊C₄	—	2	1	no	—
689	(C₂×D₇)⋊C₄	—	2	1	no	—
690	(C₂×D₇)⋊C₄	—	2	1	no	—
691	(C₂×D₇)⋊C₄	—	2	1	no	—
692	(C₂×D₇)⋊C₄	—	2	1	no	—
693	(C₂×D₇)⋊C₄	—	2	1	no	—
694	(C₂×D₇)⋊C₄	—	2	1	no	—
695	(C₂×D₇)⋊C₄	—	2	1	no	—
696	(C₂×D₇)⋊C₄	—	2	1	no	—
697	(C₂×D₇)⋊C₄	—	2	1	no	—
698	C₄⋊Dic₇	—	2	1	no	—
699	C₄⋊Dic₇	—	2	1	no	—
700	C₄⋊Dic₇	—	2	1	no	—
701	C₄⋊Dic₇	—	2	1	no	—
702	C₄⋊Dic₇	—	2	1	no	—
703	C₄⋊Dic₇	—	2	1	no	—
704	C₄⋊Dic₇	—	2	1	no	—
705	C₄⋊Dic₇	—	2	1	no	—
706	C₄⋊Dic₇	—	2	1	no	—
707	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
708	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
709	Dic₇⋊C₄	—	2	1	no	—
710	Dic₇⋊C₄	—	2	1	no	—
711	Dic₇⋊C₄	—	2	1	no	—
712	Dic₇⋊C₄	—	2	1	no	—
713	Dic₇⋊C₄	—	2	1	no	—
714	Dic₇⋊C₄	—	2	1	no	—
715	Dic₇⋊C₄	—	2	1	no	—
716	Dic₇⋊C₄	—	2	1	no	—
717	C₄×Dic₇	—	2	1	no	—
718	C₄×Dic₇	—	2	1	no	—
719	C₄×Dic₇	—	2	1	no	—
720	C₄×Dic₇	—	2	1	no	—
721	#1136	—	4	1	no	—
722	#1136	—	4	1	no	—
723	C₂×C₇⋊C₈	—	4	1	no	—
724	C₂×C₇⋊C₈	—	4	1	no	—
725	C₂×C₇⋊C₈	—	4	1	no	—
726	C₂×C₇⋊C₈	—	4	1	no	—
727	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
728	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
729	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
730	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
731	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
732	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
733	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
734	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
735	C₂×#137	—	7	1	no	—
736	C₂×AGL(1,ℤ/8)	—	7	1	no	—
737	C₂×#135	—	7	1	no	—
738	C₂×#135	—	7	1	no	—
739	C₂×#135	—	7	1	no	—
740	C₂²×SD₁₆	—	7	1	no	—
741	#562	—	14	1	no	—
742	#562	—	14	1	no	—
743	#559	—	7	1	no	—
744	#559	—	14	1	no	—
745	#557	—	7	1	no	—
746	#556	C₂×D₇	1	1	yes	characteristic
747	#556	C₂×D₇	1	1	yes	characteristic
748	#554	—	14	1	no	—
749	#554	C₂×D₇	1	1	yes	characteristic
750	#553	—	2	1	no	—
751	#553	C₂×D₇	1	1	yes	characteristic
752	#552	—	2	1	no	—
753	#552	C₂×D₇	1	1	yes	characteristic
754	#551	—	2	1	no	—
755	#551	—	2	1	no	—
756	#550	—	7	1	no	—
757	D₄×Q₈	—	7	1	no	—
758	#548	—	7	1	no	—
759	#548	—	7	1	no	—
760	#547	—	7	1	no	—
761	#547	—	7	1	no	—
762	#547	C₂×D₇	1	1	yes	characteristic
763	#546	C₂×D₇	1	1	yes	characteristic
764	#546	C₂×D₇	1	1	yes	characteristic
765	#542	—	7	1	no	—
766	#542	—	7	1	no	—
767	#542	—	14	1	no	—
768	#542	C₂×D₇	1	1	yes	characteristic
769	#541	C₂×D₇	1	1	yes	characteristic
770	#540	—	14	1	no	—
771	#539	—	2	1	no	—
772	#539	—	14	1	no	—
773	#539	—	14	1	no	—
774	#538	—	2	1	no	—
775	#536	—	7	1	no	—
776	#536	—	7	1	no	—
777	#533	—	7	1	no	—
778	#532	—	7	1	no	—
779	#529	—	2	1	no	—
780	#529	C₂×D₇	1	1	yes	characteristic
781	#529	C₂×D₇	1	1	yes	characteristic
782	C₂×#126	—	2	1	no	—
783	#520	C₂×D₇	1	1	yes	characteristic
784	#518	C₂×D₇	1	1	yes	characteristic
785	C₄×#41	C₂×D₇	1	1	yes	characteristic
786	#497	—	7	1	no	—
787	#497	—	7	1	no	—
788	#497	—	7	1	no	—
789	#496	—	7	1	no	—
790	#495	—	7	1	no	—
791	#494	—	7	1	no	—
792	#491	—	7	1	no	—
793	#491	—	7	1	no	—
794	#490	—	7	1	no	—
795	#489	—	7	1	no	—
796	#488	—	7	1	no	—
797	#487	—	7	1	no	—
798	#485	—	7	1	no	—
799	#485	—	7	1	no	—
800	#485	—	7	1	no	—
801	#483	—	7	1	no	—
802	#482	—	7	1	no	—
803	#481	—	7	1	no	—
804	#479	—	7	1	no	—
805	#479	—	7	1	no	—
806	#479	—	7	1	no	—
807	#478	—	7	1	no	—
808	#477	—	7	1	no	—
809	#477	—	7	1	no	—
810	#476	—	7	1	no	—
811	#475	—	7	1	no	—
812	#474	—	7	1	no	—
813	#474	—	7	1	no	—
814	#470	—	7	1	no	—
815	#468	—	7	1	no	—
816	#468	—	7	1	no	—
817	#468	—	7	1	no	—
818	#467	—	7	1	no	—
819	#467	—	7	1	no	—
820	#467	—	7	1	no	—
821	#467	—	7	1	no	—
822	#466	—	7	1	no	—
823	#465	—	7	1	no	—
824	#465	—	7	1	no	—
825	#465	—	7	1	no	—
826	#464	—	7	1	no	—
827	#464	—	7	1	no	—
828	#464	—	7	1	no	—
829	#464	—	7	1	no	—
830	#464	—	7	1	no	—
831	#464	—	7	1	no	—
832	#464	—	7	1	no	—
833	#464	—	7	1	no	—
834	#463	—	7	1	no	—
835	#463	—	7	1	no	—
836	#463	—	7	1	no	—
837	#463	—	7	1	no	—
838	#463	—	7	1	no	—
839	#463	—	7	1	no	—
840	#463	—	7	1	no	—
841	#463	—	7	1	no	—
842	#462	—	7	1	no	—
843	#462	—	7	1	no	—
844	#462	—	7	1	no	—
845	#462	—	7	1	no	—
846	#462	—	7	1	no	—
847	#461	—	7	1	no	—
848	#461	—	7	1	no	—
849	#461	—	7	1	no	—
850	#461	—	7	1	no	—
851	#461	—	7	1	no	—
852	#461	—	7	1	no	—
853	#461	—	7	1	no	—
854	#460	—	7	1	no	—
855	#459	—	7	1	no	—
856	#452	—	7	1	no	—
857	#452	—	7	1	no	—
858	#452	—	7	1	no	—
859	#452	—	7	1	no	—
860	#452	—	7	1	no	—
861	#452	—	7	1	no	—
862	#452	—	7	1	no	—
863	#452	—	7	1	no	—
864	#451	—	7	1	no	—
865	#451	—	7	1	no	—
866	#451	—	7	1	no	—
867	#450	—	7	1	no	—
868	#449	—	7	1	no	—
869	#449	—	7	1	no	—
870	#449	—	7	1	no	—
871	#449	—	7	1	no	—
872	#448	—	7	1	no	—
873	#447	—	7	1	no	—
874	#446	—	7	1	no	—
875	#446	—	7	1	no	—
876	#442	—	7	1	no	—
877	#442	—	7	1	no	—
878	#441	—	7	1	no	—
879	#441	—	7	1	no	—
880	#441	—	7	1	no	—
881	#440	—	7	1	no	—
882	#440	—	7	1	no	—
883	#440	—	7	1	no	—
884	C₄×SD₁₆	—	7	1	no	—
885	C₄×SD₁₆	—	7	1	no	—
886	C₄×SD₁₆	—	7	1	no	—
887	C₄×D₈	—	7	1	no	—
888	#435	—	7	1	no	—
889	#435	—	7	1	no	—
890	#435	—	7	1	no	—
891	#435	—	7	1	no	—
892	C₈×D₄	—	7	1	no	—
893	C₈×D₄	—	7	1	no	—
894	#433	—	7	1	no	—
895	#433	—	7	1	no	—
896	#432	—	7	1	no	—
897	#424	—	7	1	no	—
898	#424	—	7	1	no	—
899	C₂×C₄⋊C₈	—	7	1	no	—
900	#419	—	7	1	no	—
901	#417	—	7	1	no	—
902	#416	—	7	1	no	—
903	#416	—	7	1	no	—
904	#416	—	7	1	no	—
905	C₂×#103	—	7	1	no	—
906	C₂³×C₇	—	2	1	no	—
907	C₂³×C₇	—	2	1	no	—
908	C₂³×C₇	—	4	2	no	—
909	C₂³×C₇	—	8	1	no	—
910	C₂³×C₇	—	8	1	no	—
911	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
912	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
913	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
914	C₂²×D₇	—	2	1	no	—
915	C₂²×D₇	—	2	1	no	—
916	C₇×Q₈	—	2	1	no	—
917	C₇×Q₈	—	2	1	no	—
918	C₇×Q₈	—	2	1	no	—
919	C₇×Q₈	—	2	1	no	—
920	C₇×Q₈	—	4	1	no	—
921	C₇×Q₈	—	8	1	no	—
922	C₇×D₄	—	2	1	no	—
923	C₇×D₄	—	2	1	no	—
924	C₇×D₄	—	2	1	no	—
925	C₇×D₄	—	4	1	no	—
926	C₇×D₄	—	4	1	no	—
927	C₇×D₄	—	4	1	no	—
928	C₇×D₄	—	4	2	no	—
929	C₇×D₄	—	4	2	no	—
930	C₇×D₄	—	4	2	no	—
931	C₇×D₄	—	8	1	no	—
932	C₇×D₄	—	8	1	no	—
933	C₇×D₄	H(5,𝔽₂)	1	2	yes	—
934	C₂×C₄×C₇	—	2	1	no	—
935	C₂×C₄×C₇	—	2	1	no	—
936	C₂×C₄×C₇	—	2	1	no	—
937	C₂×C₄×C₇	—	2	1	no	—
938	C₂×C₄×C₇	—	2	1	no	—
939	C₂×C₄×C₇	—	2	1	no	—
940	C₂×C₄×C₇	—	2	1	no	—
941	C₂×C₄×C₇	—	2	1	no	—
942	C₂×C₄×C₇	—	2	1	no	—
943	C₂×C₄×C₇	—	2	1	no	—
944	C₂×C₄×C₇	—	2	1	no	—
945	C₂×C₄×C₇	—	2	1	no	—
946	C₂×C₄×C₇	—	4	1	no	—
947	C₂×C₄×C₇	—	4	1	no	—
948	C₂×C₄×C₇	—	4	2	no	—
949	C₂×C₄×C₇	—	4	2	no	—
950	C₂×C₄×C₇	—	8	1	no	—
951	C₂×C₄×C₇	—	8	1	no	—
952	C₂×C₄×C₇	—	8	1	no	—
953	C₂×C₄×C₇	—	8	1	no	—
954	C₂×C₄×C₇	—	8	1	no	—
955	C₂×C₄×C₇	—	8	1	no	—
956	C₂×C₄×C₇	—	8	1	no	—
957	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
958	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
959	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
960	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
961	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
962	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
963	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
964	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
965	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
966	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
967	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
968	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
969	C₂²⋊D₇	—	8	1	no	—
970	C₂²⋊D₇	—	8	1	no	—
971	C₂²⋊D₇	—	8	1	no	—
972	C₂²⋊D₇	—	8	1	no	—
973	C₂²⋊D₇	—	8	1	no	—
974	C₂²⋊D₇	—	8	1	no	—
975	C₂×Dic₇	—	2	1	no	—
976	C₂×Dic₇	—	2	1	no	—
977	C₂×Dic₇	—	2	1	no	—
978	C₂×Dic₇	—	2	1	no	—
979	C₂×Dic₇	—	2	1	no	—
980	C₂×Dic₇	—	2	1	no	—
981	C₂×Dic₇	—	8	1	no	—
982	C₂×Dic₇	—	8	1	no	—
983	D₂₈	—	2	1	no	—
984	D₂₈	—	2	1	no	—
985	D₂₈	—	2	1	no	—
986	D₂₈	—	2	1	no	—
987	D₂₈	—	4	2	no	—
988	D₂₈	—	8	1	no	—
989	C₄×D₇	—	8	1	no	—
990	C₄×D₇	—	8	1	no	—
991	C₄×D₇	—	8	1	no	—
992	C₄×D₇	—	8	1	no	—
993	C₄×D₇	—	8	1	no	—
994	C₄×D₇	—	8	1	no	—
995	Dic₁₄	—	2	1	no	—
996	Dic₁₄	—	2	1	no	—
997	Dic₁₄	—	2	1	no	—
998	Dic₁₄	—	2	1	no	—
999	Dic₁₄	—	2	1	no	—
1000	Dic₁₄	—	2	1	no	—
1001	Dic₁₄	—	2	1	no	—
1002	Dic₁₄	—	2	1	no	—
1003	Dic₁₄	—	8	1	no	—
1004	Dic₁₄	—	8	1	no	—
1005	Dic₁₄	—	8	1	no	—
1006	C₇⋊C₈	—	2	1	no	—
1007	C₇⋊C₈	—	2	1	no	—
1008	C₇⋊C₈	—	2	1	no	—
1009	C₇⋊C₈	—	2	1	no	—
1010	C₇⋊C₈	—	2	1	no	—
1011	C₇⋊C₈	—	2	1	no	—
1012	C₇⋊C₈	—	2	1	no	—
1013	C₇⋊C₈	—	2	1	no	—
1014	C₂×#41	—	7	1	no	—
1015	C₂×#41	—	7	1	no	—
1016	C₂×#41	—	7	1	no	—
1017	C₂×#41	—	7	1	no	—
1018	C₂×#41	C₂²×D₇	1	1	yes	characteristic
1019	C₂×#41	C₂²×D₇	1	1	yes	characteristic
1020	C₂²×Q₈	—	7	1	no	—
1021	C₂²×Q₈	—	7	1	no	—
1022	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1023	#137	—	28	2	no	—
1024	AGL(1,ℤ/8)	—	28	2	no	—
1025	#135	—	28	2	no	—
1026	#135	—	28	2	no	—
1027	#135	—	28	2	no	—
1028	C₂×Q₁₆	—	7	1	no	—
1029	C₂×Q₁₆	—	7	1	no	—
1030	C₂×Q₁₆	—	7	1	no	—
1031	C₂×Q₁₆	—	7	1	no	—
1032	C₂×Q₁₆	—	7	1	no	—
1033	C₂×Q₁₆	—	7	1	no	—
1034	C₂×Q₁₆	—	7	1	no	—
1035	C₂×Q₁₆	—	7	1	no	—
1036	C₂×SD₁₆	—	7	1	no	—
1037	C₂×SD₁₆	—	7	1	no	—
1038	C₂×SD₁₆	—	7	1	no	—
1039	C₂×SD₁₆	—	7	1	no	—
1040	C₂×SD₁₆	—	7	1	no	—
1041	C₂×SD₁₆	—	7	1	no	—
1042	C₂×SD₁₆	—	7	1	no	—
1043	C₂×SD₁₆	—	7	1	no	—
1044	C₂×SD₁₆	—	7	1	no	—
1045	C₂×SD₁₆	—	7	1	no	—
1046	C₂×SD₁₆	—	7	1	no	—
1047	C₂×SD₁₆	—	7	1	no	—
1048	C₂×SD₁₆	—	28	2	no	—
1049	C₂×D₈	—	7	1	no	—
1050	C₂×D₈	—	7	1	no	—
1051	C₂×D₈	—	7	1	no	—
1052	C₂×D₈	—	7	1	no	—
1053	C₂×M₁₆	—	7	1	no	—
1054	C₂×M₁₆	—	7	1	no	—
1055	C₂²×C₈	—	7	1	no	—
1056	C₂²×C₈	—	7	1	no	—
1057	C₂²×C₈	—	7	1	no	—
1058	C₂²×C₈	—	7	1	no	—
1059	C₄⋊Q₈	—	7	1	no	—
1060	C₄⋊Q₈	—	7	1	no	—
1061	C₄⋊Q₈	—	7	1	no	—
1062	C₄⋊Q₈	—	7	1	no	—
1063	C₄⋊Q₈	—	7	1	no	—
1064	C₄⋊Q₈	—	14	1	no	—
1065	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1066	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1067	#127	—	7	1	no	—
1068	#127	—	14	1	no	—
1069	#126	—	2	1	no	—
1070	#126	—	2	1	no	—
1071	#126	—	2	1	no	—
1072	#126	—	2	1	no	—
1073	#126	—	2	1	no	—
1074	#126	—	2	1	no	—
1075	#126	—	2	1	no	—
1076	#126	—	2	1	no	—
1077	#126	—	2	1	no	—
1078	#126	—	2	1	no	—
1079	#126	—	14	1	no	—
1080	#126	—	14	1	no	—
1081	#126	C₂²⋊D₇	1	1	yes	characteristic
1082	#126	C₂²⋊D₇	1	1	yes	characteristic
1083	#125	—	2	1	no	—
1084	#125	—	2	1	no	—
1085	#125	—	2	1	no	—
1086	#125	—	14	1	no	—
1087	#125	—	14	1	no	—
1088	#125	—	14	1	no	—
1089	#125	—	14	1	no	—
1090	#125	C₂²⋊D₇	1	1	yes	characteristic
1091	#125	C₂²×D₇	1	1	yes	characteristic
1092	#125	C₂²×D₇	1	1	yes	characteristic
1093	#124	—	2	1	no	—
1094	#124	—	2	1	no	—
1095	#124	—	7	1	no	—
1096	#124	—	7	1	no	—
1097	#124	—	7	1	no	—
1098	#124	—	7	1	no	—
1099	#124	—	14	1	no	—
1100	#124	—	14	1	no	—
1101	#124	—	14	1	no	—
1102	#124	—	14	1	no	—
1103	#124	—	14	1	no	—
1104	#124	C₂²⋊D₇	1	1	yes	characteristic
1105	#124	C₂²×D₇	1	1	yes	characteristic
1106	#124	C₂²×D₇	1	1	yes	characteristic
1107	#123	—	2	1	no	—
1108	#123	—	2	1	no	—
1109	#123	—	2	1	no	—
1110	#123	—	2	1	no	—
1111	#123	—	2	1	no	—
1112	#123	—	2	1	no	—
1113	#123	—	2	1	no	—
1114	#123	—	2	1	no	—
1115	#123	—	14	1	no	—
1116	#123	—	14	1	no	—
1117	#123	—	14	1	no	—
1118	#123	—	14	1	no	—
1119	#123	—	14	1	no	—
1120	#123	—	14	1	no	—
1121	#123	—	14	1	no	—
1122	#123	—	14	1	no	—
1123	#123	—	14	1	no	—
1124	#123	—	14	1	no	—
1125	#123	—	14	1	no	—
1126	#123	—	14	1	no	—
1127	#123	C₂²⋊D₇	1	1	yes	characteristic
1128	#123	C₂²⋊D₇	1	1	yes	characteristic
1129	C₂²⋊Q₈	—	2	1	no	—
1130	C₂²⋊Q₈	—	2	1	no	—
1131	C₂²⋊Q₈	—	2	1	no	—
1132	C₂²⋊Q₈	—	2	1	no	—
1133	C₂²⋊Q₈	—	2	1	no	—
1134	C₂²⋊Q₈	—	7	1	no	—
1135	C₂²⋊Q₈	—	7	1	no	—
1136	C₂²⋊Q₈	—	7	1	no	—
1137	C₂²⋊Q₈	—	7	1	no	—
1138	C₂²⋊Q₈	—	14	1	no	—
1139	C₂²⋊Q₈	—	14	1	no	—
1140	C₂²⋊Q₈	—	14	1	no	—
1141	C₂²⋊Q₈	—	14	1	no	—
1142	C₂²⋊Q₈	—	14	1	no	—
1143	C₂²⋊Q₈	—	14	1	no	—
1144	C₂²⋊Q₈	—	14	1	no	—
1145	C₂²⋊Q₈	—	14	1	no	—
1146	C₂²⋊Q₈	—	14	1	no	—
1147	C₂²⋊Q₈	—	14	1	no	—
1148	C₂²⋊Q₈	—	14	1	no	—
1149	C₂²⋊Q₈	C₂²⋊D₇	1	1	yes	characteristic
1150	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1151	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1152	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1153	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1154	#121	—	2	1	no	—
1155	#121	—	2	1	no	—
1156	#121	—	2	1	no	—
1157	#121	—	2	1	no	—
1158	#121	—	7	1	no	—
1159	#121	—	7	1	no	—
1160	#121	—	14	1	no	—
1161	#121	—	14	1	no	—
1162	#121	—	14	1	no	—
1163	#121	—	14	1	no	—
1164	#121	—	14	1	no	—
1165	#121	—	14	1	no	—
1166	#121	—	14	1	no	—
1167	#121	—	14	1	no	—
1168	#121	C₂²⋊D₇	1	1	yes	characteristic
1169	#121	C₂²×D₇	1	1	yes	characteristic
1170	#121	C₂²×D₇	1	1	yes	characteristic
1171	#120	—	2	1	no	—
1172	#120	—	2	1	no	—
1173	C₄×Q₈	—	2	1	no	—
1174	C₄×Q₈	—	7	1	no	—
1175	C₄×Q₈	—	7	1	no	—
1176	C₄×Q₈	—	7	1	no	—
1177	C₄×Q₈	—	7	1	no	—
1178	C₄×Q₈	—	14	1	no	—
1179	C₄×Q₈	—	14	1	no	—
1180	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1181	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1182	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1183	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1184	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1185	C₄×D₄	—	2	1	no	—
1186	C₄×D₄	—	2	1	no	—
1187	C₄×D₄	—	2	1	no	—
1188	C₄×D₄	—	2	1	no	—
1189	C₄×D₄	—	2	1	no	—
1190	C₄×D₄	—	2	1	no	—
1191	C₄×D₄	—	2	1	no	—
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	7	1	no	—
1194	C₄×D₄	—	7	1	no	—
1195	C₄×D₄	—	14	1	no	—
1196	C₄×D₄	—	14	1	no	—
1197	C₄×D₄	—	14	1	no	—
1198	C₄×D₄	—	14	1	no	—
1199	C₄×D₄	—	14	1	no	—
1200	C₄×D₄	—	14	1	no	—
1201	C₄×D₄	—	14	1	no	—
1202	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1203	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1204	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1205	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1206	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1207	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1208	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1209	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1210	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1211	#117	—	2	1	no	—
1212	#117	—	2	1	no	—
1213	#117	—	2	1	no	—
1214	#117	—	2	1	no	—
1215	#117	—	2	1	no	—
1216	#117	—	14	1	no	—
1217	#117	C₂²×D₇	1	1	yes	characteristic
1218	#117	C₂²×D₇	1	1	yes	characteristic
1219	#117	C₂²×D₇	1	1	yes	characteristic
1220	#117	C₂²×D₇	1	1	yes	characteristic
1221	C₂×C₄⋊C₄	—	2	1	no	—
1222	C₂×C₄⋊C₄	—	2	1	no	—
1223	C₂×C₄⋊C₄	—	2	1	no	—
1224	C₂×C₄⋊C₄	—	14	1	no	—
1225	C₂×C₄⋊C₄	—	14	1	no	—
1226	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1227	C₂×C₂²⋊C₄	—	2	1	no	—
1228	C₂×C₂²⋊C₄	—	2	1	no	—
1229	C₂×C₂²⋊C₄	—	2	1	no	—
1230	C₂×C₂²⋊C₄	—	2	1	no	—
1231	C₂×C₄²	—	2	1	no	—
1232	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1233	#107	—	7	1	no	—
1234	#107	—	7	1	no	—
1235	#107	—	7	1	no	—
1236	#107	—	7	1	no	—
1237	#106	—	7	1	no	—
1238	#106	—	7	1	no	—
1239	#106	—	7	1	no	—
1240	#106	—	7	1	no	—
1241	C₄⋊C₈	—	7	1	no	—
1242	C₄⋊C₈	—	7	1	no	—
1243	C₄⋊C₈	—	7	1	no	—
1244	C₄⋊C₈	—	7	1	no	—
1245	C₄⋊C₈	—	7	1	no	—
1246	C₄⋊C₈	—	7	1	no	—
1247	C₄⋊C₈	—	7	1	no	—
1248	C₄⋊C₈	—	7	1	no	—
1249	C₄⋊C₈	—	7	1	no	—
1250	C₄⋊C₈	—	7	1	no	—
1251	#103	—	7	1	no	—
1252	#103	—	7	1	no	—
1253	#103	—	7	1	no	—
1254	#103	—	7	1	no	—
1255	#103	—	7	1	no	—
1256	#103	—	7	1	no	—
1257	#103	—	7	1	no	—
1258	#103	—	7	1	no	—
1259	#103	—	7	1	no	—
1260	#103	—	7	1	no	—
1261	#103	—	7	1	no	—
1262	#103	—	7	1	no	—
1263	#103	—	7	1	no	—
1264	#103	—	7	1	no	—
1265	#103	—	7	1	no	—
1266	#103	—	7	1	no	—
1267	#103	—	7	1	no	—
1268	#103	—	7	1	no	—
1269	#103	—	7	1	no	—
1270	#103	—	7	1	no	—
1271	#102	—	7	1	no	—
1272	#102	—	7	1	no	—
1273	#102	—	7	1	no	—
1274	#102	—	7	1	no	—
1275	#102	—	7	1	no	—
1276	#102	—	7	1	no	—
1277	#102	—	7	1	no	—
1278	#102	—	7	1	no	—
1279	#102	—	7	1	no	—
1280	#102	—	7	1	no	—
1281	#102	—	7	1	no	—
1282	#102	—	7	1	no	—
1283	C₂²⋊C₈	—	7	1	no	—
1284	C₂²⋊C₈	—	7	1	no	—
1285	C₂²⋊C₈	—	7	1	no	—
1286	C₂²⋊C₈	—	7	1	no	—
1287	C₂²⋊C₈	—	7	1	no	—
1288	C₂²⋊C₈	—	7	1	no	—
1289	#97	—	7	1	no	—
1290	#97	—	7	1	no	—
1291	#97	—	7	1	no	—
1292	#97	—	7	1	no	—
1293	C₄×C₈	—	7	1	no	—
1294	C₄×C₈	—	7	1	no	—
1295	C₂²×C₇	—	2	1	no	—
1296	C₂²×C₇	—	2	1	no	—
1297	C₂²×C₇	—	2	1	no	—
1298	C₂²×C₇	—	2	1	no	—
1299	C₂²×C₇	—	2	1	no	—
1300	C₂²×C₇	—	2	1	no	—
1301	C₂²×C₇	—	2	1	no	—
1302	C₂²×C₇	—	2	1	no	—
1303	C₂²×C₇	—	2	1	no	—
1304	C₂²×C₇	—	2	2	no	—
1305	C₂²×C₇	—	4	1	no	—
1306	C₂²×C₇	—	4	1	no	—
1307	C₂²×C₇	—	4	1	no	—
1308	C₂²×C₇	—	4	1	no	—
1309	C₂²×C₇	—	4	1	no	—
1310	C₂²×C₇	—	16	2	no	—
1311	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1312	C₂×D₇	—	4	1	no	—
1313	C₂×D₇	—	4	1	no	—
1314	C₂×D₇	—	4	1	no	—
1315	C₂×D₇	—	4	1	no	—
1316	C₂×D₇	—	4	1	no	—
1317	C₂×D₇	—	4	1	no	—
1318	C₄×C₇	—	2	1	no	—
1319	C₄×C₇	—	2	1	no	—
1320	C₄×C₇	—	2	1	no	—
1321	C₄×C₇	—	2	1	no	—
1322	C₄×C₇	—	2	1	no	—
1323	C₄×C₇	—	2	1	no	—
1324	C₄×C₇	—	2	1	no	—
1325	C₄×C₇	—	2	1	no	—
1326	C₄×C₇	—	2	1	no	—
1327	C₄×C₇	—	2	1	no	—
1328	C₄×C₇	—	2	1	no	—
1329	C₄×C₇	—	4	1	no	—
1330	C₄×C₇	—	4	1	no	—
1331	C₄×C₇	—	4	1	no	—
1332	C₄×C₇	—	4	1	no	—
1333	C₄×C₇	—	4	1	no	—
1334	C₄×C₇	—	4	1	no	—
1335	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1336	C₄×C₇	#585	1	1	yes	characteristic
1337	Dic₇	—	4	1	no	—
1338	Dic₇	—	4	1	no	—
1339	Dic₇	—	4	1	no	—
1340	Dic₇	—	4	1	no	—
1341	Dic₇	—	4	1	no	—
1342	Dic₇	—	4	1	no	—
1343	C₂⁴	—	2	1	no	—
1344	#41	—	2	2	no	—
1345	#41	—	2	2	no	—
1346	#41	—	4	1	no	—
1347	#41	—	4	1	no	—
1348	#41	—	28	1	no	—
1349	#41	—	28	1	no	—
1350	#41	—	28	1	no	—
1351	#41	—	28	1	no	—
1352	#41	—	28	1	no	—
1353	#41	—	28	1	no	—
1354	#41	—	28	1	no	—
1355	#41	—	28	1	no	—
1356	C₂×Q₈	—	2	1	no	—
1357	C₂×Q₈	—	7	1	no	—
1358	C₂×Q₈	—	7	1	no	—
1359	C₂×Q₈	—	7	1	no	—
1360	C₂×Q₈	—	7	1	no	—
1361	C₂×Q₈	—	14	1	no	—
1362	C₂×Q₈	—	14	1	no	—
1363	C₂×Q₈	—	14	1	no	—
1364	C₂×Q₈	—	28	1	no	—
1365	C₂×Q₈	—	28	1	no	—
1366	C₂×Q₈	—	28	1	no	—
1367	C₂×Q₈	—	28	1	no	—
1368	C₂×Q₈	C₂×C₂²⋊D₇	1	1	yes	characteristic
1369	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1370	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1371	C₂×D₄	—	2	2	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
1377	C₂×D₄	—	4	1	no	—
1378	C₂×D₄	—	7	1	no	—
1379	C₂×D₄	—	7	1	no	—
1380	C₂×D₄	—	14	1	no	—
1381	C₂×D₄	—	14	1	no	—
1382	C₂×D₄	—	14	1	no	—
1383	C₂×D₄	—	14	1	no	—
1384	C₂×D₄	—	14	1	no	—
1385	C₂×D₄	—	14	1	no	—
1386	C₂×D₄	—	14	1	no	—
1387	C₂×D₄	—	14	1	no	—
1388	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1389	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1390	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1391	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1392	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	—	14	1	no	—
1403	C₂²×C₄	—	14	1	no	—
1404	C₂²×C₄	—	14	1	no	—
1405	C₂²×C₄	—	14	1	no	—
1406	C₂²×C₄	—	14	1	no	—
1407	C₂²×C₄	—	14	1	no	—
1408	C₂²×C₄	—	14	1	no	—
1409	C₂²×C₄	—	14	1	no	—
1410	C₂²×C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1411	C₂²×C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1412	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1413	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1414	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1415	Q₁₆	—	28	1	no	—
1416	Q₁₆	—	28	1	no	—
1417	Q₁₆	—	28	1	no	—
1418	Q₁₆	—	28	1	no	—
1419	Q₁₆	—	28	1	no	—
1420	Q₁₆	—	28	1	no	—
1421	Q₁₆	—	28	1	no	—
1422	Q₁₆	—	28	1	no	—
1423	SD₁₆	—	14	2	no	—
1424	SD₁₆	—	14	2	no	—
1425	SD₁₆	—	14	2	no	—
1426	SD₁₆	—	14	2	no	—
1427	SD₁₆	—	28	1	no	—
1428	SD₁₆	—	28	1	no	—
1429	SD₁₆	—	28	1	no	—
1430	SD₁₆	—	28	1	no	—
1431	SD₁₆	—	28	1	no	—
1432	SD₁₆	—	28	1	no	—
1433	SD₁₆	—	28	1	no	—
1434	SD₁₆	—	28	1	no	—
1435	D₈	—	14	2	no	—
1436	D₈	—	14	2	no	—
1437	D₈	—	28	1	no	—
1438	D₈	—	28	1	no	—
1439	M₁₆	—	28	1	no	—
1440	M₁₆	—	28	1	no	—
1441	C₂×C₈	—	7	1	no	—
1442	C₂×C₈	—	7	1	no	—
1443	C₂×C₈	—	7	1	no	—
1444	C₂×C₈	—	7	1	no	—
1445	C₂×C₈	—	7	1	no	—
1446	C₂×C₈	—	7	1	no	—
1447	C₂×C₈	—	7	1	no	—
1448	C₂×C₈	—	7	1	no	—
1449	C₂×C₈	—	28	1	no	—
1450	C₂×C₈	—	28	1	no	—
1451	C₂×C₈	—	28	1	no	—
1452	C₂×C₈	—	28	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	7	1	no	—
1470	C₄⋊C₄	—	7	1	no	—
1471	C₄⋊C₄	—	14	1	no	—
1472	C₄⋊C₄	—	14	1	no	—
1473	C₄⋊C₄	—	14	1	no	—
1474	C₄⋊C₄	—	14	1	no	—
1475	C₄⋊C₄	—	14	1	no	—
1476	C₄⋊C₄	—	14	1	no	—
1477	C₄⋊C₄	—	14	1	no	—
1478	C₄⋊C₄	—	14	1	no	—
1479	C₄⋊C₄	—	14	1	no	—
1480	C₄⋊C₄	—	14	1	no	—
1481	C₄⋊C₄	—	14	1	no	—
1482	C₄⋊C₄	—	14	1	no	—
1483	C₄⋊C₄	—	14	1	no	—
1484	C₄⋊C₄	—	14	1	no	—
1485	C₄⋊C₄	—	14	1	no	—
1486	C₄⋊C₄	—	14	1	no	—
1487	C₄⋊C₄	—	14	1	no	—
1488	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1489	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1490	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1491	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1493	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1494	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1495	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1496	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1497	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1498	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1499	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1500	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1501	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
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	—	14	1	no	—
1521	C₂²⋊C₄	—	14	1	no	—
1522	C₂²⋊C₄	—	14	1	no	—
1523	C₂²⋊C₄	—	14	1	no	—
1524	C₂²⋊C₄	—	14	1	no	—
1525	C₂²⋊C₄	—	14	1	no	—
1526	C₂²⋊C₄	—	14	1	no	—
1527	C₂²⋊C₄	—	14	1	no	—
1528	C₂²⋊C₄	—	14	1	no	—
1529	C₂²⋊C₄	—	14	1	no	—
1530	C₂²⋊C₄	—	14	1	no	—
1531	C₂²⋊C₄	—	14	1	no	—
1532	C₂²⋊C₄	—	14	1	no	—
1533	C₂²⋊C₄	—	14	1	no	—
1534	C₂²⋊C₄	—	14	1	no	—
1535	C₂²⋊C₄	—	14	1	no	—
1536	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1537	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1538	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1539	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1540	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1541	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1542	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1543	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1544	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1545	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1546	C₄²	—	2	1	no	—
1547	C₄²	—	2	1	no	—
1548	C₄²	—	2	1	no	—
1549	C₄²	—	2	1	no	—
1550	C₄²	—	2	1	no	—
1551	C₄²	—	2	1	no	—
1552	C₄²	—	14	1	no	—
1553	C₄²	—	14	1	no	—
1554	C₄²	—	14	1	no	—
1555	C₄²	—	14	1	no	—
1556	C₄²	C₂×C₂²⋊D₇	1	1	yes	characteristic
1557	C₄²	C₂×C₂²⋊D₇	1	1	yes	characteristic
1558	C₄²	C₂³×D₇	1	1	yes	characteristic
1559	C₄²	C₂³×D₇	1	1	yes	characteristic
1560	C₄²	C₂³×D₇	1	1	yes	characteristic
1561	C₄²	C₂³×D₇	1	1	yes	characteristic
1562	C₂×C₇	—	4	1	no	—
1563	C₂×C₇	—	4	1	no	—
1564	C₂×C₇	—	4	1	no	—
1565	C₂×C₇	—	4	2	no	—
1566	C₂×C₇	—	8	1	no	—
1567	C₂×C₇	#3488	1	1	yes	characteristic
1568	C₂×C₇	#3584	1	1	yes	characteristic
1569	C₂×C₇	#3586	1	1	yes	characteristic
1570	D₇	—	8	1	no	—
1571	D₇	—	8	1	no	—
1572	C₂³	—	2	1	no	—
1573	C₂³	—	2	1	no	—
1574	C₂³	—	4	2	no	—
1575	C₂³	—	8	1	no	—
1576	C₂³	—	8	1	no	—
1577	C₂³	—	14	1	no	—
1578	C₂³	—	14	1	no	—
1579	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1580	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1581	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1582	Q₈	—	2	1	no	—
1583	Q₈	—	2	1	no	—
1584	Q₈	—	2	1	no	—
1585	Q₈	—	2	1	no	—
1586	Q₈	—	4	1	no	—
1587	Q₈	—	8	1	no	—
1588	Q₈	—	14	1	no	—
1589	Q₈	—	14	1	no	—
1590	Q₈	—	14	1	no	—
1591	Q₈	—	14	1	no	—
1592	Q₈	—	14	1	no	—
1593	Q₈	—	14	1	no	—
1594	Q₈	—	14	1	no	—
1595	Q₈	—	14	1	no	—
1596	Q₈	—	56	1	no	—
1597	Q₈	—	56	1	no	—
1598	Q₈	—	56	1	no	—
1599	D₄	—	2	1	no	—
1600	D₄	—	2	1	no	—
1601	D₄	—	2	1	no	—
1602	D₄	—	4	1	no	—
1603	D₄	—	4	1	no	—
1604	D₄	—	4	1	no	—
1605	D₄	—	4	2	no	—
1606	D₄	—	4	2	no	—
1607	D₄	—	4	2	no	—
1608	D₄	—	8	1	no	—
1609	D₄	—	8	1	no	—
1610	D₄	—	14	1	no	—
1611	D₄	—	14	1	no	—
1612	D₄	—	14	1	no	—
1613	D₄	—	14	1	no	—
1614	D₄	—	28	2	no	—
1615	D₄	—	56	1	no	—
1616	D₄	—	56	1	no	—
1617	D₄	—	56	1	no	—
1618	D₄	—	56	1	no	—
1619	D₄	—	56	1	no	—
1620	D₄	—	56	1	no	—
1621	D₄	—	56	1	no	—
1622	D₄	#6553	1	2	yes	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	4	1	no	—
1636	C₂×C₄	—	4	1	no	—
1637	C₂×C₄	—	4	2	no	—
1638	C₂×C₄	—	4	2	no	—
1639	C₂×C₄	—	8	1	no	—
1640	C₂×C₄	—	8	1	no	—
1641	C₂×C₄	—	8	1	no	—
1642	C₂×C₄	—	8	1	no	—
1643	C₂×C₄	—	8	1	no	—
1644	C₂×C₄	—	8	1	no	—
1645	C₂×C₄	—	8	1	no	—
1646	C₂×C₄	—	14	1	no	—
1647	C₂×C₄	—	14	1	no	—
1648	C₂×C₄	—	14	1	no	—
1649	C₂×C₄	—	14	1	no	—
1650	C₂×C₄	—	14	1	no	—
1651	C₂×C₄	—	14	1	no	—
1652	C₂×C₄	—	56	1	no	—
1653	C₂×C₄	—	56	1	no	—
1654	C₂×C₄	—	56	1	no	—
1655	C₂×C₄	—	56	1	no	—
1656	C₂×C₄	—	56	1	no	—
1657	C₂×C₄	—	56	1	no	—
1658	C₂×C₄	—	56	1	no	—
1659	C₂×C₄	—	56	1	no	—
1660	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1661	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1662	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1663	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1664	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1665	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1666	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1667	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1668	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1669	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1670	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1671	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1672	C₈	—	14	1	no	—
1673	C₈	—	14	1	no	—
1674	C₈	—	14	1	no	—
1675	C₈	—	14	1	no	—
1676	C₈	—	14	1	no	—
1677	C₈	—	14	1	no	—
1678	C₈	—	14	1	no	—
1679	C₈	—	14	1	no	—
1680	C₇	#62023	1	1	yes	characteristic, complemented, Sylow
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	2	no	—
1685	C₂²	—	2	1	no	—
1686	C₂²	—	2	1	no	—
1687	C₂²	—	2	1	no	—
1688	C₂²	—	2	1	no	—
1689	C₂²	—	2	1	no	—
1690	C₂²	—	2	1	no	—
1691	C₂²	—	4	1	no	—
1692	C₂²	—	4	1	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	1	no	—
1695	C₂²	—	4	1	no	—
1696	C₂²	—	16	2	no	—
1697	C₂²	—	28	1	no	—
1698	C₂²	—	28	1	no	—
1699	C₂²	—	28	1	no	—
1700	C₂²	—	28	1	no	—
1701	C₂²	—	28	1	no	—
1702	C₂²	—	28	1	no	—
1703	C₂²	C₂³×C₂²⋊D₇	1	1	yes	characteristic
1704	C₄	—	2	1	no	—
1705	C₄	—	2	1	no	—
1706	C₄	—	2	1	no	—
1707	C₄	—	2	1	no	—
1708	C₄	—	2	1	no	—
1709	C₄	—	2	1	no	—
1710	C₄	—	2	1	no	—
1711	C₄	—	2	1	no	—
1712	C₄	—	2	1	no	—
1713	C₄	—	2	1	no	—
1714	C₄	—	2	1	no	—
1715	C₄	—	4	1	no	—
1716	C₄	—	4	1	no	—
1717	C₄	—	4	1	no	—
1718	C₄	—	4	1	no	—
1719	C₄	—	4	1	no	—
1720	C₄	—	4	1	no	—
1721	C₄	—	28	1	no	—
1722	C₄	—	28	1	no	—
1723	C₄	—	28	1	no	—
1724	C₄	—	28	1	no	—
1725	C₄	—	28	1	no	—
1726	C₄	—	28	1	no	—
1727	C₄	C₂×#6553	1	1	yes	characteristic
1728	C₄	#90616	1	1	yes	characteristic
1729	C₂	—	4	1	no	—
1730	C₂	—	4	1	no	—
1731	C₂	—	4	1	no	—
1732	C₂	—	4	2	no	—
1733	C₂	—	8	1	no	—
1734	C₂	—	56	1	no	—
1735	C₂	—	56	1	no	—
1736	C₂	#11744343	1	1	yes	characteristic
1737	C₂	#11744365	1	1	yes	characteristic
1738	C₂	#11744367	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₇
commutator, cosocle	C₂×C₄×C₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇
Fitting	C₇×#3521	C₂
socle	C₂²×C₇	C₂³×D₄
hypercenter	#3521	D₇
hypocenter	C₇	#62023
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3521

Complements

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

N	H ≅ G/N	type
1. C₇×#3521	C₂	semidirect
2. #11743205	C₂	semidirect
3. #11741125	C₂	semidirect
4. #11741119	C₂	semidirect
5. #11741117	C₂	semidirect
6. #11741109	C₂	semidirect
7. #11741089	C₂	semidirect
8. #11741084	C₂	semidirect
9. #11741063	C₂	semidirect
10. #11741060	C₂	semidirect
11. #11741049	C₂	semidirect
12. #11741048	C₂	semidirect
13. #11740973	C₂	semidirect
14. #11740969	C₂	semidirect
15. #11740954	C₂	semidirect
16. #11740952	C₂	semidirect
17. #11740951	C₂	semidirect
18. #11740948	C₂	semidirect
19. #11740911	C₂	semidirect
20. #11740909	C₂	semidirect
21. #11740897	C₂	semidirect
22. #11740894	C₂	semidirect
23. #11740600	C₂	semidirect
24. #11740592	C₂	semidirect
25. #11740575	C₂	semidirect
26. #11740021	C₂	semidirect
27. #11740017	C₂	semidirect
28. #11739989	C₂	semidirect
29. #11739986	C₂	semidirect
30. #11739980	C₂	semidirect
31. #11739970	C₂	semidirect
69. #90276	C₂²	semidirect
70. #90261	C₂²	semidirect
73. #90243	C₂²	semidirect
75. #90242	C₂²	semidirect
78. #90225	C₂²	semidirect
80. #90217	C₂²	semidirect
81. #90168	C₂²	semidirect
82. #90161	C₂²	semidirect
89. #89865	C₂²	semidirect
90. #89864	C₂²	semidirect
91. #89863	C₂²	semidirect
92. #89862	C₂²	semidirect
93. #89861	C₂²	semidirect
94. #89859	C₂²	semidirect
95. #89858	C₂²	semidirect
96. #89855	C₂²	semidirect
97. #89841	C₂²	semidirect
98. #89841	C₂²	semidirect
99. #89840	C₂²	semidirect
100. #89839	C₂²	semidirect
101. #89838	C₂²	semidirect
102. #89835	C₂²	semidirect
103. #89835	C₂²	semidirect
104. #89835	C₂²	semidirect
115. #89823	C₂²	semidirect
116. #89823	C₂²	semidirect
117. #89823	C₂²	semidirect
120. #89822	C₂²	semidirect
122. #89821	C₂²	semidirect
126. #89819	C₂²	semidirect
127. #89819	C₂²	semidirect
128. #89819	C₂²	semidirect
137. #89803	C₂²	semidirect
138. #89803	C₂²	semidirect
139. #89803	C₂²	semidirect
140. #89803	C₂²	semidirect
141. #89802	C₂²	semidirect
142. #89802	C₂²	semidirect
143. #89802	C₂²	semidirect
144. #89800	C₂²	semidirect
145. #89800	C₂²	semidirect
146. #89800	C₂²	semidirect
147. #89800	C₂²	semidirect
148. #89800	C₂²	semidirect
149. #89799	C₂²	semidirect
150. C₄×#1143	C₂²	semidirect
151. #89796	C₂²	semidirect
152. #89796	C₂²	semidirect
153. #89793	C₂²	semidirect
154. #89792	C₂²	semidirect
180. #89783	C₂²	semidirect
182. D₄×C₇⋊C₈	C₂²	semidirect
188. #89774	C₂²	semidirect
189. #89774	C₂²	semidirect
191. #89772	C₂²	semidirect
193. #89771	C₂²	semidirect
195. #89768	C₂²	semidirect
196. #89768	C₂²	semidirect
197. #89743	C₂²	semidirect
198. C₂×#6384	C₂²	semidirect
199. #89740	C₂²	semidirect
200. #89738	C₂²	semidirect
201. #89698	C₂²	semidirect
202. C₂×C₄⋊(C₇⋊C₈)	C₂²	semidirect
486. #3521	D₇	semidirect
1680. C₇	#62023	semidirect

Maximal subgroups

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

subgroup	index
C₇×#3521	2
#11743205	2
#11741125	2
#11741119	2
#11741117	2
#11741109	2
#11741089	2
#11741084	2
#11741063	2
#11741060	2
#11741049	2
#11741048	2
#11740973	2
#11740969	2
#11740954	2
#11740952	2
#11740951	2
#11740948	2
#11740911	2
#11740909	2
#11740897	2
#11740894	2
#11740600	2
#11740592	2
#11740575	2
#11740021	2
#11740017	2
#11739989	2
#11739986	2
#11739980	2
#11739970	2
#62023	7