Subgroups — C₇×#62729 #13239945

Order 1792.

7346 conjugacy classes of subgroups.

The subgroup lattice has 1530 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3542	C₂	1	4	yes	maximal, complemented
2	C₇×#3541	C₂	1	4	yes	maximal, complemented
3	C₇×#3540	C₂	1	2	yes	maximal, complemented
4	C₇×#3539	C₂	1	2	yes	maximal, complemented
5	C₇×#3538	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3537	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3536	C₂	1	2	yes	maximal, complemented
8	C₇×#3535	C₂	1	4	yes	maximal, complemented
9	C₇×#3534	C₂	1	4	yes	maximal, complemented
10	C₇×#3533	C₂	1	4	yes	maximal, complemented
11	C₇×#3532	C₂	1	4	yes	maximal, complemented
12	C₇×#3529	C₂	1	4	yes	maximal, complemented
13	C₇×#3481	C₂	1	4	yes	maximal, complemented
14	C₇×#3475	C₂	1	4	yes	maximal, complemented
15	C₇×D₄×#41	C₂	1	4	yes	maximal, complemented
16	C₇×#3460	C₂	1	4	yes	maximal, complemented
17	C₇×#3459	C₂	1	4	yes	maximal, complemented
18	C₇×#3455	C₂	1	2	yes	maximal, complemented
19	C₇×#3449	C₂	1	2	yes	maximal, complemented
20	C₂×C₇×#525	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₇×#525	C₂	1	2	yes	maximal, complemented
22	C₂²×C₇×#41	C₂²	1	1	yes	characteristic, complemented
23	C₂²×C₇×#41	C₂²	1	2	yes	complemented
24	C₂²×C₇×#41	C₂²	1	2	yes	complemented
25	C₂⁴×C₄×C₇	C₂²	1	1	yes	characteristic, complemented
26	C₇×#563	C₂²	1	4	yes	complemented
27	C₇×#563	C₂²	1	8	yes	complemented
28	C₇×#562	C₂²	1	8	yes	complemented
29	C₇×#562	C₂²	1	8	yes	complemented
30	C₇×#562	C₂²	1	8	yes	complemented
31	C₇×H(3,𝔽₄)	C₂²	1	4	yes	complemented
32	C₇×#560	C₂²	1	8	yes	complemented
33	C₇×#560	C₂²	1	4	yes	complemented
34	C₇×#560	C₂²	1	4	yes	complemented
35	C₇×#560	C₂²	1	8	yes	complemented
36	C₇×#559	C₂²	1	4	yes	complemented
37	C₇×#556	C₂²	1	4	yes	complemented
38	C₇×#555	C₂²	1	4	yes	complemented
39	C₇×#554	C₂²	1	4	yes	complemented
40	C₇×#554	C₂²	1	8	yes	complemented
41	C₇×#553	C₂²	1	4	yes	complemented
42	C₇×#553	C₂²	1	8	yes	complemented
43	C₇×#553	C₂²	1	4	yes	complemented
44	C₇×#553	C₂²	1	8	yes	complemented
45	C₇×#552	C₂²	1	8	yes	complemented
46	C₇×#552	C₂²	1	4	yes	complemented
47	C₇×#552	C₂²	1	4	yes	complemented
48	C₇×#551	C₂²	1	8	yes	complemented
49	C₇×#551	C₂²	1	4	yes	complemented
50	C₇×#551	C₂²	1	8	yes	complemented
51	C₇×#551	C₂²	1	8	yes	complemented
52	C₇×#551	C₂²	1	4	yes	complemented
53	C₇×#550	C₂²	1	4	yes	complemented
54	C₇×D₄×Q₈	C₂²	1	4	yes	complemented
55	C₇×#548	C₂²	1	4	yes	complemented
56	C₇×#548	C₂²	1	4	yes	complemented
57	C₇×#547	C₂²	1	8	yes	complemented
58	C₇×#547	C₂²	1	4	yes	complemented
59	C₇×#547	C₂²	1	4	yes	complemented
60	C₇×#546	C₂²	1	8	yes	complemented
61	C₇×#546	C₂²	1	8	yes	complemented
62	C₇×#546	C₂²	1	8	yes	complemented
63	C₇×#546	C₂²	1	4	yes	complemented
64	C₇×#546	C₂²	1	8	yes	complemented
65	C₇×#546	C₂²	1	8	yes	complemented
66	C₇×#546	C₂²	1	4	yes	complemented
67	C₇×D₄²	C₂²	1	8	yes	complemented
68	C₇×D₄²	C₂²	1	4	yes	complemented
69	C₇×D₄²	C₂²	1	4	yes	complemented
70	C₇×#544	C₂²	1	4	yes	complemented
71	C₇×#543	C₂²	1	4	yes	complemented
72	C₇×#542	C₂²	1	4	yes	complemented
73	C₇×#542	C₂²	1	4	yes	complemented
74	C₇×#542	C₂²	1	8	yes	complemented
75	C₇×#542	C₂²	1	8	yes	complemented
76	C₇×#541	C₂²	1	2	yes	complemented
77	C₇×#541	C₂²	1	2	yes	complemented
78	C₇×#540	C₂²	1	2	yes	complemented
79	C₇×#540	C₂²	1	2	yes	complemented
80	C₇×#540	C₂²	1	8	yes	complemented
81	C₇×#540	C₂²	1	8	yes	complemented
82	C₇×#539	C₂²	1	8	yes	complemented
83	C₇×#539	C₂²	1	4	yes	complemented
84	C₇×#539	C₂²	1	4	yes	complemented
85	C₇×#539	C₂²	1	8	yes	complemented
86	C₇×#539	C₂²	1	8	yes	complemented
87	C₇×#538	C₂²	1	8	yes	complemented
88	C₇×#538	C₂²	1	8	yes	complemented
89	C₇×#538	C₂²	1	8	yes	complemented
90	C₇×#538	C₂²	1	4	yes	complemented
91	C₇×#538	C₂²	1	4	yes	complemented
92	C₇×#538	C₂²	1	8	yes	complemented
93	C₇×#538	C₂²	1	8	yes	complemented
94	C₇×#537	C₂²	1	4	yes	complemented
95	C₇×#537	C₂²	1	4	yes	complemented
96	C₇×#537	C₂²	1	4	yes	complemented
97	C₇×#536	C₂²	1	4	yes	complemented
98	C₇×#536	C₂²	1	2	yes	complemented
99	C₇×#536	C₂²	1	2	yes	complemented
100	C₇×#535	C₂²	1	4	yes	complemented
101	C₇×#535	C₂²	1	8	yes	complemented
102	C₇×#535	C₂²	1	2	yes	complemented
103	C₇×#535	C₂²	1	2	yes	complemented
104	C₇×#534	C₂²	1	4	yes	complemented
105	C₇×#534	C₂²	1	8	yes	complemented
106	C₇×#534	C₂²	1	4	yes	complemented
107	C₇×#534	C₂²	1	4	yes	complemented
108	C₇×#533	C₂²	1	2	yes	complemented
109	C₇×#532	C₂²	1	2	yes	complemented
110	C₇×#532	C₂²	1	4	yes	complemented
111	C₇×#532	C₂²	1	4	yes	complemented
112	C₇×#532	C₂²	1	8	yes	complemented
113	C₇×#529	C₂²	1	8	yes	complemented
114	C₇×#529	C₂²	1	8	yes	complemented
115	C₇×#529	C₂²	1	8	yes	complemented
116	C₇×#529	C₂²	1	8	yes	complemented
117	C₇×#529	C₂²	1	8	yes	complemented
118	C₇×#525	C₂²	1	1	yes	characteristic
119	C₇×#525	C₂²	1	4	yes	complemented
120	C₇×#525	C₂²	1	2	yes	complemented
121	C₇×#525	C₂²	1	4	yes	complemented
122	C₇×#525	C₂²	1	2	yes	complemented
123	C₇×#525	C₂²	1	4	yes	complemented
124	C₇×#525	C₂²	1	2	yes	complemented
125	C₇×#525	C₂²	1	2	yes	complemented
126	C₇×#525	C₂²	1	4	yes	complemented
127	C₇×#525	C₂²	1	4	yes	complemented
128	C₇×#525	C₂²	1	4	yes	complemented
129	C₇×#525	C₂²	1	1	yes	characteristic, complemented
130	C₇×#525	C₂²	1	1	yes	characteristic, complemented
131	C₇×#525	C₂²	1	4	yes	complemented
132	C₇×#525	C₂²	1	1	yes	characteristic, complemented
133	C₇×#525	C₂²	1	4	yes	complemented
134	C₇×#525	C₂²	1	4	yes	complemented
135	C₇×#525	C₂²	1	4	yes	complemented
136	C₇×#525	C₂²	1	8	yes	complemented
137	C₇×#525	C₂²	1	4	yes	complemented
138	C₇×#525	C₂²	1	4	yes	complemented
139	C₇×#525	C₂²	1	8	yes	complemented
140	C₂×C₇×#123	C₂²	1	2	yes	complemented
141	C₂×C₇×#123	C₂²	1	4	yes	complemented
142	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
143	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
144	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
145	C₂×C₇×#121	C₂²	1	2	yes	complemented
146	C₂×C₇×#121	C₂²	1	2	yes	complemented
147	C₂×C₇×#121	C₂²	1	2	yes	complemented
148	C₂×C₇×#120	C₂²	1	2	yes	complemented
149	C₂×C₇×#120	C₂²	1	4	yes	complemented
150	C₄×C₇×#41	C₂²	1	4	yes	complemented
151	C₄×C₇×#41	C₂²	1	8	yes	complemented
152	C₂×C₄×C₇×D₄	C₂²	1	4	yes	complemented
153	C₂×C₄×C₇×D₄	C₂²	1	4	yes	complemented
154	C₂×C₄×C₇×D₄	C₂²	1	4	yes	complemented
155	C₂×C₄×C₇×D₄	C₂²	1	8	yes	complemented
156	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
157	C₂×C₇×#117	C₂²	1	2	yes	complemented
158	C₂×C₇×#117	C₂²	1	2	yes	complemented
159	#62729	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
160	C₂⁵×C₇	C₂³	1	1	yes	characteristic
161	C₂×C₇×#41	—	4	4	no	—
162	C₂×C₇×#41	—	4	8	no	—
163	C₂×C₇×#41	—	4	8	no	—
164	C₂×C₇×#41	C₂³	1	4	yes	—
165	C₂×C₇×#41	C₂³	1	1	yes	characteristic
166	C₂×C₇×#41	C₂³	1	1	yes	characteristic
167	C₂×C₇×#41	C₂³	1	2	yes	—
168	C₂×C₇×#41	C₂³	1	4	yes	—
169	C₂×C₇×#41	C₂³	1	1	yes	characteristic
170	C₂×C₇×#41	C₂³	1	2	yes	—
171	C₂×C₇×#41	C₂³	1	1	yes	characteristic
172	C₂×C₇×#41	C₂³	1	4	yes	—
173	C₂×C₇×#41	C₂³	1	4	yes	—
174	C₂×C₇×#41	C₂³	1	4	yes	—
175	C₂×C₇×#41	C₂³	1	8	yes	—
176	C₂×C₇×#41	C₂³	1	4	yes	complemented
177	C₂×C₇×#41	C₂³	1	4	yes	complemented
178	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
179	C₂²×C₇×Q₈	C₂³	1	2	yes	—
180	C₂²×C₇×Q₈	C₂³	1	2	yes	complemented
181	C₂²×C₇×D₄	C₂³	1	2	yes	—
182	C₂²×C₇×D₄	C₂³	1	4	yes	—
183	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
184	C₂²×C₇×D₄	C₂³	1	2	yes	—
185	C₂²×C₇×D₄	C₂³	1	4	yes	—
186	C₂²×C₇×D₄	C₂³	1	4	yes	—
187	C₂²×C₇×D₄	C₂³	1	4	yes	—
188	C₂²×C₇×D₄	C₂³	1	4	yes	—
189	C₂²×C₇×D₄	C₂³	1	8	yes	—
190	C₂²×C₇×D₄	C₂³	1	2	yes	complemented
191	C₂³×C₄×C₇	—	4	4	no	—
192	C₂³×C₄×C₇	C₂³	1	2	yes	—
193	C₂³×C₄×C₇	C₂³	1	2	yes	—
194	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₇	C₂³	1	4	yes	—
196	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₇	C₂³	1	2	yes	—
198	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₇	C₂³	1	2	yes	—
200	C₂³×C₄×C₇	C₂³	1	2	yes	—
201	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
203	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₇	C₂³	1	4	yes	complemented
205	C₇×C₄⋊Q₈	C₂³	1	4	yes	complemented
206	C₇×C₄⋊Q₈	C₂³	1	4	yes	complemented
207	C₇×C₄⋊Q₈	C₂³	1	2	yes	complemented
208	C₇×C₄⋊Q₈	C₂³	1	8	yes	complemented
209	C₇×C₄⋊Q₈	C₂³	1	4	yes	complemented
210	C₇×#127	C₂³	1	4	yes	—
211	C₇×#127	C₂³	1	4	yes	—
212	C₇×#127	C₂³	1	8	yes	—
213	C₇×#127	C₂³	1	2	yes	complemented
214	C₇×#126	C₂³	1	8	yes	—
215	C₇×#126	C₂³	1	8	yes	—
216	C₇×#126	C₂³	1	8	yes	—
217	C₇×#126	C₂³	1	8	yes	—
218	C₇×#126	C₂³	1	8	yes	complemented
219	C₇×#126	C₂³	1	8	yes	complemented
220	C₇×#126	C₂³	1	8	yes	complemented
221	C₇×#126	C₂³	1	8	yes	complemented
222	C₇×#126	C₂³	1	8	yes	complemented
223	C₇×#126	C₂³	1	8	yes	complemented
224	C₇×#125	C₂³	1	8	yes	complemented
225	C₇×#125	C₂³	1	8	yes	complemented
226	C₇×#125	C₂³	1	8	yes	complemented
227	C₇×#125	C₂³	1	8	yes	complemented
228	C₇×#125	C₂³	1	8	yes	complemented
229	C₇×#125	C₂³	1	2	yes	complemented
230	C₇×#125	C₂³	1	2	yes	complemented
231	C₇×#124	C₂³	1	8	yes	—
232	C₇×#124	C₂³	1	8	yes	—
233	C₇×#124	C₂³	1	8	yes	—
234	C₇×#124	C₂³	1	8	yes	—
235	C₇×#124	C₂³	1	4	yes	—
236	C₇×#124	C₂³	1	4	yes	—
237	C₇×#124	C₂³	1	8	yes	—
238	C₇×#124	C₂³	1	8	yes	complemented
239	C₇×#124	C₂³	1	4	yes	complemented
240	C₇×#124	C₂³	1	4	yes	complemented
241	C₇×#124	C₂³	1	8	yes	complemented
242	C₇×#124	C₂³	1	4	yes	complemented
243	C₇×#123	C₂³	1	2	yes	—
244	C₇×#123	C₂³	1	8	yes	—
245	C₇×#123	C₂³	1	4	yes	—
246	C₇×#123	C₂³	1	8	yes	—
247	C₇×#123	C₂³	1	4	yes	—
248	C₇×#123	C₂³	1	8	yes	—
249	C₇×#123	C₂³	1	2	yes	—
250	C₇×#123	C₂³	1	2	yes	—
251	C₇×#123	C₂³	1	8	yes	—
252	C₇×#123	C₂³	1	2	yes	—
253	C₇×#123	C₂³	1	4	yes	—
254	C₇×#123	C₂³	1	8	yes	—
255	C₇×#123	C₂³	1	4	yes	—
256	C₇×#123	C₂³	1	8	yes	—
257	C₇×#123	C₂³	1	8	yes	—
258	C₇×#123	C₂³	1	8	yes	—
259	C₇×#123	C₂³	1	8	yes	—
260	C₇×#123	C₂³	1	8	yes	—
261	C₇×#123	C₂³	1	8	yes	—
262	C₇×#123	C₂³	1	8	yes	—
263	C₇×#123	C₂³	1	4	yes	complemented
264	C₇×#123	C₂³	1	4	yes	complemented
265	C₇×#123	C₂³	1	8	yes	complemented
266	C₇×#123	C₂³	1	8	yes	complemented
267	C₇×#123	C₂³	1	8	yes	complemented
268	C₇×#123	C₂³	1	8	yes	complemented
269	C₇×#123	C₂³	1	8	yes	complemented
270	C₇×#123	C₂³	1	8	yes	complemented
271	C₇×#123	C₂³	1	8	yes	complemented
272	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
273	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
274	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
275	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
276	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
277	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
278	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
279	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
280	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
281	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
282	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
283	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
284	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
285	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
286	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
287	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
288	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
289	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
290	C₇×C₂²⋊Q₈	C₂³	1	4	yes	complemented
291	C₇×C₂²⋊Q₈	C₂³	1	4	yes	complemented
292	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
293	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
294	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
295	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
296	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
297	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
298	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
299	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
300	C₇×#121	C₂³	1	2	yes	—
301	C₇×#121	C₂³	1	4	yes	—
302	C₇×#121	C₂³	1	4	yes	—
303	C₇×#121	C₂³	1	4	yes	—
304	C₇×#121	C₂³	1	2	yes	—
305	C₇×#121	C₂³	1	2	yes	—
306	C₇×#121	C₂³	1	4	yes	—
307	C₇×#121	C₂³	1	2	yes	—
308	C₇×#121	C₂³	1	4	yes	—
309	C₇×#121	C₂³	1	4	yes	—
310	C₇×#121	C₂³	1	4	yes	—
311	C₇×#121	C₂³	1	4	yes	—
312	C₇×#121	C₂³	1	4	yes	—
313	C₇×#121	C₂³	1	4	yes	—
314	C₇×#121	C₂³	1	8	yes	—
315	C₇×#121	C₂³	1	8	yes	—
316	C₇×#121	C₂³	1	8	yes	—
317	C₇×#121	C₂³	1	8	yes	—
318	C₇×#121	C₂³	1	8	yes	—
319	C₇×#121	C₂³	1	8	yes	—
320	C₇×#121	C₂³	1	8	yes	—
321	C₇×#121	C₂³	1	8	yes	—
322	C₇×#121	C₂³	1	8	yes	—
323	C₇×#121	C₂³	1	8	yes	—
324	C₇×#121	C₂³	1	8	yes	—
325	C₇×#121	C₂³	1	8	yes	—
326	C₇×#121	C₂³	1	8	yes	—
327	C₇×#121	C₂³	1	8	yes	—
328	C₇×#121	C₂³	1	8	yes	—
329	C₇×#121	C₂³	1	4	yes	complemented
330	C₇×#121	C₂³	1	4	yes	complemented
331	C₇×#121	C₂³	1	8	yes	complemented
332	C₇×#121	C₂³	1	8	yes	complemented
333	C₇×#121	C₂³	1	8	yes	complemented
334	C₇×#121	C₂³	1	8	yes	complemented
335	C₇×#121	C₂³	1	8	yes	complemented
336	C₇×#120	C₂³	1	2	yes	—
337	C₇×#120	C₂³	1	4	yes	—
338	C₇×#120	C₂³	1	8	yes	—
339	C₇×#120	C₂³	1	8	yes	—
340	C₇×#120	C₂³	1	4	yes	—
341	C₇×#120	C₂³	1	8	yes	—
342	C₇×#120	C₂³	1	2	yes	—
343	C₇×#120	C₂³	1	2	yes	—
344	C₇×#120	C₂³	1	8	yes	—
345	C₇×#120	C₂³	1	2	yes	—
346	C₇×#120	C₂³	1	4	yes	—
347	C₇×#120	C₂³	1	8	yes	—
348	C₇×#120	C₂³	1	4	yes	—
349	C₇×#120	C₂³	1	8	yes	—
350	C₇×#120	C₂³	1	8	yes	—
351	C₇×#120	C₂³	1	8	yes	—
352	C₇×#120	C₂³	1	4	yes	complemented
353	C₇×#120	C₂³	1	4	yes	complemented
354	C₇×#120	C₂³	1	8	yes	complemented
355	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
356	C₄×C₇×Q₈	C₂³	1	4	yes	complemented
357	C₄×C₇×Q₈	C₂³	1	4	yes	complemented
358	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
359	C₄×C₇×D₄	C₂³	1	4	yes	—
360	C₄×C₇×D₄	C₂³	1	8	yes	—
361	C₄×C₇×D₄	C₂³	1	4	yes	—
362	C₄×C₇×D₄	C₂³	1	4	yes	—
363	C₄×C₇×D₄	C₂³	1	4	yes	—
364	C₄×C₇×D₄	C₂³	1	8	yes	—
365	C₄×C₇×D₄	C₂³	1	8	yes	—
366	C₄×C₇×D₄	C₂³	1	8	yes	—
367	C₄×C₇×D₄	C₂³	1	4	yes	—
368	C₄×C₇×D₄	C₂³	1	8	yes	—
369	C₄×C₇×D₄	C₂³	1	8	yes	—
370	C₄×C₇×D₄	C₂³	1	4	yes	—
371	C₄×C₇×D₄	C₂³	1	4	yes	—
372	C₄×C₇×D₄	C₂³	1	8	yes	—
373	C₄×C₇×D₄	C₂³	1	4	yes	—
374	C₄×C₇×D₄	C₂³	1	8	yes	—
375	C₄×C₇×D₄	C₂³	1	8	yes	—
376	C₄×C₇×D₄	C₂³	1	8	yes	—
377	C₄×C₇×D₄	C₂³	1	8	yes	—
378	C₄×C₇×D₄	C₂³	1	8	yes	—
379	C₄×C₇×D₄	C₂³	1	8	yes	—
380	C₄×C₇×D₄	C₂³	1	8	yes	—
381	C₄×C₇×D₄	C₂³	1	8	yes	complemented
382	C₄×C₇×D₄	C₂³	1	8	yes	complemented
383	C₄×C₇×D₄	C₂³	1	8	yes	complemented
384	C₄×C₇×D₄	C₂³	1	8	yes	complemented
385	C₄×C₇×D₄	C₂³	1	8	yes	complemented
386	C₄×C₇×D₄	C₂³	1	8	yes	complemented
387	C₄×C₇×D₄	C₂³	1	4	yes	complemented
388	C₄×C₇×D₄	C₂³	1	4	yes	complemented
389	C₇×#117	C₂³	1	4	yes	—
390	C₇×#117	C₂³	1	1	yes	characteristic
391	C₇×#117	C₂³	1	2	yes	—
392	C₇×#117	C₂³	1	2	yes	—
393	C₇×#117	C₂³	1	4	yes	—
394	C₇×#117	C₂³	1	2	yes	—
395	C₇×#117	C₂³	1	1	yes	characteristic
396	C₇×#117	C₂³	1	4	yes	—
397	C₇×#117	C₂³	1	4	yes	—
398	C₇×#117	C₂³	1	4	yes	—
399	C₇×#117	C₂³	1	8	yes	—
400	C₇×#117	C₂³	1	4	yes	complemented
401	C₇×#117	C₂³	1	2	yes	complemented
402	C₇×#117	C₂³	1	2	yes	complemented
403	C₇×#117	C₂³	1	8	yes	complemented
404	C₇×#117	C₂³	1	8	yes	complemented
405	C₇×#117	C₂³	1	8	yes	complemented
406	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
407	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
408	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
409	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
410	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
411	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
412	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	complemented
413	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
414	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
415	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
416	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
417	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
418	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
419	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
420	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
421	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
422	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
423	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
424	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
425	C₂×C₄²×C₇	C₂³	1	4	yes	—
426	C₂×C₄²×C₇	C₂³	1	2	yes	—
427	C₂×C₄²×C₇	C₂³	1	4	yes	complemented
428	C₂×C₄²×C₇	C₂³	1	8	yes	complemented
429	#3542	C₂×C₇	1	4	yes	complemented
430	#3541	C₂×C₇	1	4	yes	complemented
431	#3540	C₂×C₇	1	2	yes	complemented
432	#3539	C₂×C₇	1	2	yes	complemented
433	#3538	C₂×C₇	1	1	yes	characteristic, complemented
434	#3537	C₂×C₇	1	1	yes	characteristic, complemented
435	#3536	C₂×C₇	1	2	yes	complemented
436	#3535	C₂×C₇	1	4	yes	complemented
437	#3534	C₂×C₇	1	4	yes	complemented
438	#3533	C₂×C₇	1	4	yes	complemented
439	#3532	C₂×C₇	1	4	yes	complemented
440	#3529	C₂×C₇	1	4	yes	complemented
441	#3481	C₂×C₇	1	4	yes	complemented
442	#3475	C₂×C₇	1	4	yes	complemented
443	D₄×#41	C₂×C₇	1	4	yes	complemented
444	#3460	C₂×C₇	1	4	yes	complemented
445	#3459	C₂×C₇	1	4	yes	complemented
446	#3455	C₂×C₇	1	2	yes	complemented
447	#3449	C₂×C₇	1	2	yes	complemented
448	C₂×#525	C₂×C₇	1	1	yes	characteristic, complemented
449	C₂×#525	C₂×C₇	1	2	yes	complemented
450	C₂⁴×C₇	—	4	2	no	—
451	C₂⁴×C₇	—	4	4	no	—
452	C₂⁴×C₇	C₂⁴	1	2	yes	—
453	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
454	C₂⁴×C₇	C₂⁴	1	2	yes	—
455	C₂⁴×C₇	C₂⁴	1	4	yes	—
456	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
457	C₂⁴×C₇	C₂⁴	1	2	yes	—
458	C₂⁴×C₇	C₂⁴	1	4	yes	—
459	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
460	C₇×#41	—	2	16	no	—
461	C₇×#41	—	4	2	no	—
462	C₇×#41	—	4	4	no	—
463	C₇×#41	—	4	2	no	—
464	C₇×#41	—	4	4	no	—
465	C₇×#41	—	4	2	no	—
466	C₇×#41	—	4	2	no	—
467	C₇×#41	—	4	8	no	—
468	C₇×#41	—	4	8	no	—
469	C₇×#41	—	4	8	no	—
470	C₇×#41	—	4	8	no	—
471	C₇×#41	—	4	16	no	—
472	C₇×#41	—	4	8	no	—
473	C₇×#41	—	4	8	no	—
474	C₂×C₇×Q₈	—	4	2	no	—
475	C₂×C₇×Q₈	—	4	4	no	—
476	C₂×C₇×Q₈	—	4	4	no	—
477	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
478	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
479	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
480	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
481	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
482	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
483	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
484	C₂×C₇×D₄	—	4	4	no	—
485	C₂×C₇×D₄	—	4	4	no	—
486	C₂×C₇×D₄	—	4	8	no	—
487	C₂×C₇×D₄	—	4	2	no	—
488	C₂×C₇×D₄	—	4	4	no	—
489	C₂×C₇×D₄	—	4	16	no	—
490	C₂×C₇×D₄	—	4	8	no	—
491	C₂×C₇×D₄	—	4	8	no	—
492	C₂×C₇×D₄	—	4	8	no	—
493	C₂×C₇×D₄	—	4	8	no	—
494	C₂×C₇×D₄	C₂⁴	1	4	yes	—
495	C₂×C₇×D₄	C₂⁴	1	8	yes	—
496	C₂×C₇×D₄	C₂⁴	1	4	yes	—
497	C₂×C₇×D₄	C₂⁴	1	8	yes	—
498	C₂×C₇×D₄	C₂⁴	1	4	yes	—
499	C₂×C₇×D₄	C₂⁴	1	4	yes	—
500	C₂×C₇×D₄	C₂⁴	1	8	yes	—
501	C₂×C₇×D₄	C₂⁴	1	8	yes	—
502	C₂×C₇×D₄	C₂⁴	1	8	yes	—
503	C₂×C₇×D₄	C₂⁴	1	4	yes	—
504	C₂×C₇×D₄	C₂⁴	1	8	yes	—
505	C₂×C₇×D₄	C₂⁴	1	8	yes	—
506	C₂×C₇×D₄	C₂⁴	1	8	yes	—
507	C₂×C₇×D₄	C₂⁴	1	2	yes	—
508	C₂×C₇×D₄	C₂⁴	1	2	yes	—
509	C₂×C₇×D₄	C₂⁴	1	8	yes	—
510	C₂×C₇×D₄	C₂⁴	1	2	yes	—
511	C₂×C₇×D₄	C₂⁴	1	2	yes	—
512	C₂×C₇×D₄	C₂⁴	1	4	yes	—
513	C₂×C₇×D₄	C₂⁴	1	8	yes	—
514	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
515	C₂×C₇×D₄	C₂⁴	1	2	yes	—
516	C₂×C₇×D₄	C₂⁴	1	4	yes	—
517	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₇	—	2	4	no	—
519	C₂²×C₄×C₇	—	2	8	no	—
520	C₂²×C₄×C₇	—	2	8	no	—
521	C₂²×C₄×C₇	—	4	2	no	—
522	C₂²×C₄×C₇	—	4	4	no	—
523	C₂²×C₄×C₇	—	4	2	no	—
524	C₂²×C₄×C₇	—	4	4	no	—
525	C₂²×C₄×C₇	—	4	2	no	—
526	C₂²×C₄×C₇	—	4	2	no	—
527	C₂²×C₄×C₇	—	4	8	no	—
528	C₂²×C₄×C₇	—	4	8	no	—
529	C₂²×C₄×C₇	—	4	4	no	—
530	C₂²×C₄×C₇	—	4	2	no	—
531	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
532	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
533	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
534	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
535	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
537	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
538	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
541	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
542	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
543	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
544	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
545	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
548	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
549	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
550	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
551	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
552	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
553	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
554	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
555	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
556	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
557	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
558	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
560	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
561	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
562	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
564	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
565	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
566	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
567	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
568	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
569	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
570	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
571	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
572	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
573	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
574	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
575	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
576	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
577	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
578	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
579	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
580	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
581	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
582	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
583	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
584	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
585	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
586	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
587	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
588	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
589	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
590	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
591	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
592	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
593	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
594	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
595	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
596	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
597	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
598	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
599	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
600	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
601	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
602	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
603	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
604	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
605	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
606	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
607	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
608	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
609	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
610	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
611	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
612	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
613	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
614	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
615	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
616	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
617	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
618	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
619	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
620	C₄²×C₇	C₂⁴	1	8	yes	—
621	C₄²×C₇	C₂⁴	1	2	yes	—
622	C₄²×C₇	C₂⁴	1	2	yes	—
623	C₄²×C₇	C₂⁴	1	4	yes	—
624	C₄²×C₇	C₂⁴	1	8	yes	—
625	C₄²×C₇	C₂⁴	1	4	yes	—
626	C₄²×C₇	C₂⁴	1	8	yes	—
627	C₄²×C₇	C₂⁴	1	4	yes	—
628	C₄²×C₇	C₂⁴	1	8	yes	—
629	C₂²×#41	C₂²×C₇	1	1	yes	characteristic, complemented
630	C₂²×#41	C₂²×C₇	1	2	yes	complemented
631	C₂²×#41	C₂²×C₇	1	2	yes	complemented
632	C₂⁴×C₄	C₂²×C₇	1	1	yes	characteristic, complemented
633	#563	C₂²×C₇	1	4	yes	complemented
634	#563	C₂²×C₇	1	8	yes	complemented
635	#562	C₂²×C₇	1	8	yes	complemented
636	#562	C₂²×C₇	1	8	yes	complemented
637	#562	C₂²×C₇	1	8	yes	complemented
638	H(3,𝔽₄)	C₂²×C₇	1	4	yes	complemented
639	#560	C₂²×C₇	1	8	yes	complemented
640	#560	C₂²×C₇	1	4	yes	complemented
641	#560	C₂²×C₇	1	4	yes	complemented
642	#560	C₂²×C₇	1	8	yes	complemented
643	#559	C₂²×C₇	1	4	yes	complemented
644	#556	C₂²×C₇	1	4	yes	complemented
645	#555	C₂²×C₇	1	4	yes	complemented
646	#554	C₂²×C₇	1	4	yes	complemented
647	#554	C₂²×C₇	1	8	yes	complemented
648	#553	C₂²×C₇	1	4	yes	complemented
649	#553	C₂²×C₇	1	8	yes	complemented
650	#553	C₂²×C₇	1	4	yes	complemented
651	#553	C₂²×C₇	1	8	yes	complemented
652	#552	C₂²×C₇	1	8	yes	complemented
653	#552	C₂²×C₇	1	4	yes	complemented
654	#552	C₂²×C₇	1	4	yes	complemented
655	#551	C₂²×C₇	1	8	yes	complemented
656	#551	C₂²×C₇	1	4	yes	complemented
657	#551	C₂²×C₇	1	8	yes	complemented
658	#551	C₂²×C₇	1	8	yes	complemented
659	#551	C₂²×C₇	1	4	yes	complemented
660	#550	C₂²×C₇	1	4	yes	complemented
661	D₄×Q₈	C₂²×C₇	1	4	yes	complemented
662	#548	C₂²×C₇	1	4	yes	complemented
663	#548	C₂²×C₇	1	4	yes	complemented
664	#547	C₂²×C₇	1	8	yes	complemented
665	#547	C₂²×C₇	1	4	yes	complemented
666	#547	C₂²×C₇	1	4	yes	complemented
667	#546	C₂²×C₇	1	8	yes	complemented
668	#546	C₂²×C₇	1	8	yes	complemented
669	#546	C₂²×C₇	1	8	yes	complemented
670	#546	C₂²×C₇	1	4	yes	complemented
671	#546	C₂²×C₇	1	8	yes	complemented
672	#546	C₂²×C₇	1	8	yes	complemented
673	#546	C₂²×C₇	1	4	yes	complemented
674	D₄²	C₂²×C₇	1	8	yes	complemented
675	D₄²	C₂²×C₇	1	4	yes	complemented
676	D₄²	C₂²×C₇	1	4	yes	complemented
677	#544	C₂²×C₇	1	4	yes	complemented
678	#543	C₂²×C₇	1	4	yes	complemented
679	#542	C₂²×C₇	1	4	yes	complemented
680	#542	C₂²×C₇	1	4	yes	complemented
681	#542	C₂²×C₇	1	8	yes	complemented
682	#542	C₂²×C₇	1	8	yes	complemented
683	#541	C₂²×C₇	1	2	yes	complemented
684	#541	C₂²×C₇	1	2	yes	complemented
685	#540	C₂²×C₇	1	2	yes	complemented
686	#540	C₂²×C₇	1	2	yes	complemented
687	#540	C₂²×C₇	1	8	yes	complemented
688	#540	C₂²×C₇	1	8	yes	complemented
689	#539	C₂²×C₇	1	8	yes	complemented
690	#539	C₂²×C₇	1	4	yes	complemented
691	#539	C₂²×C₇	1	4	yes	complemented
692	#539	C₂²×C₇	1	8	yes	complemented
693	#539	C₂²×C₇	1	8	yes	complemented
694	#538	C₂²×C₇	1	8	yes	complemented
695	#538	C₂²×C₇	1	8	yes	complemented
696	#538	C₂²×C₇	1	8	yes	complemented
697	#538	C₂²×C₇	1	4	yes	complemented
698	#538	C₂²×C₇	1	4	yes	complemented
699	#538	C₂²×C₇	1	8	yes	complemented
700	#538	C₂²×C₇	1	8	yes	complemented
701	#537	C₂²×C₇	1	4	yes	complemented
702	#537	C₂²×C₇	1	4	yes	complemented
703	#537	C₂²×C₇	1	4	yes	complemented
704	#536	C₂²×C₇	1	4	yes	complemented
705	#536	C₂²×C₇	1	2	yes	complemented
706	#536	C₂²×C₇	1	2	yes	complemented
707	#535	C₂²×C₇	1	4	yes	complemented
708	#535	C₂²×C₇	1	8	yes	complemented
709	#535	C₂²×C₇	1	2	yes	complemented
710	#535	C₂²×C₇	1	2	yes	complemented
711	#534	C₂²×C₇	1	4	yes	complemented
712	#534	C₂²×C₇	1	8	yes	complemented
713	#534	C₂²×C₇	1	4	yes	complemented
714	#534	C₂²×C₇	1	4	yes	complemented
715	#533	C₂²×C₇	1	2	yes	complemented
716	#532	C₂²×C₇	1	2	yes	complemented
717	#532	C₂²×C₇	1	4	yes	complemented
718	#532	C₂²×C₇	1	4	yes	complemented
719	#532	C₂²×C₇	1	8	yes	complemented
720	#529	C₂²×C₇	1	8	yes	complemented
721	#529	C₂²×C₇	1	8	yes	complemented
722	#529	C₂²×C₇	1	8	yes	complemented
723	#529	C₂²×C₇	1	8	yes	complemented
724	#529	C₂²×C₇	1	8	yes	complemented
725	#525	C₂²×C₇	1	1	yes	characteristic
726	#525	C₂²×C₇	1	4	yes	complemented
727	#525	C₂²×C₇	1	2	yes	complemented
728	#525	C₂²×C₇	1	4	yes	complemented
729	#525	C₂²×C₇	1	2	yes	complemented
730	#525	C₂²×C₇	1	4	yes	complemented
731	#525	C₂²×C₇	1	2	yes	complemented
732	#525	C₂²×C₇	1	2	yes	complemented
733	#525	C₂²×C₇	1	4	yes	complemented
734	#525	C₂²×C₇	1	4	yes	complemented
735	#525	C₂²×C₇	1	4	yes	complemented
736	#525	C₂²×C₇	1	1	yes	characteristic, complemented
737	#525	C₂²×C₇	1	1	yes	characteristic, complemented
738	#525	C₂²×C₇	1	4	yes	complemented
739	#525	C₂²×C₇	1	1	yes	characteristic, complemented
740	#525	C₂²×C₇	1	4	yes	complemented
741	#525	C₂²×C₇	1	4	yes	complemented
742	#525	C₂²×C₇	1	4	yes	complemented
743	#525	C₂²×C₇	1	8	yes	complemented
744	#525	C₂²×C₇	1	4	yes	complemented
745	#525	C₂²×C₇	1	4	yes	complemented
746	#525	C₂²×C₇	1	8	yes	complemented
747	C₂×#123	C₂²×C₇	1	2	yes	complemented
748	C₂×#123	C₂²×C₇	1	4	yes	complemented
749	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
750	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
751	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
752	C₂×#121	C₂²×C₇	1	2	yes	complemented
753	C₂×#121	C₂²×C₇	1	2	yes	complemented
754	C₂×#121	C₂²×C₇	1	2	yes	complemented
755	C₂×#120	C₂²×C₇	1	2	yes	complemented
756	C₂×#120	C₂²×C₇	1	4	yes	complemented
757	C₄×#41	C₂²×C₇	1	4	yes	complemented
758	C₄×#41	C₂²×C₇	1	8	yes	complemented
759	C₂×C₄×D₄	C₂²×C₇	1	4	yes	complemented
760	C₂×C₄×D₄	C₂²×C₇	1	4	yes	complemented
761	C₂×C₄×D₄	C₂²×C₇	1	4	yes	complemented
762	C₂×C₄×D₄	C₂²×C₇	1	8	yes	complemented
763	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
764	C₂×#117	C₂²×C₇	1	2	yes	complemented
765	C₂×#117	C₂²×C₇	1	2	yes	complemented
766	C₂³×C₇	—	2	4	no	—
767	C₂³×C₇	—	2	2	no	—
768	C₂³×C₇	—	2	4	no	—
769	C₂³×C₇	—	2	4	no	—
770	C₂³×C₇	—	2	4	no	—
771	C₂³×C₇	—	2	4	no	—
772	C₂³×C₇	—	2	8	no	—
773	C₂³×C₇	—	4	1	no	—
774	C₂³×C₇	—	4	2	no	—
775	C₂³×C₇	—	4	1	no	—
776	C₂³×C₇	—	4	2	no	—
777	C₂³×C₇	—	4	2	no	—
778	C₂³×C₇	—	4	2	no	—
779	C₂³×C₇	—	4	2	no	—
780	C₂³×C₇	—	4	4	no	—
781	C₂³×C₇	—	4	4	no	—
782	C₂³×C₇	—	4	4	no	—
783	C₂³×C₇	—	4	4	no	—
784	C₂³×C₇	—	4	8	no	—
785	C₂³×C₇	—	4	16	no	—
786	C₂³×C₇	C₂⁵	1	2	yes	—
787	C₂³×C₇	C₂⁵	1	1	yes	characteristic
788	C₂³×C₇	C₂⁵	1	2	yes	—
789	C₂³×C₇	C₂⁵	1	1	yes	characteristic
790	C₂³×C₇	C₂⁵	1	8	yes	—
791	C₂³×C₇	C₂⁵	1	2	yes	—
792	C₂³×C₇	C₂⁵	1	1	yes	characteristic
793	C₂³×C₇	C₂⁵	1	2	yes	—
794	C₇×Q₈	—	2	8	no	—
795	C₇×Q₈	—	4	1	no	—
796	C₇×Q₈	—	4	2	no	—
797	C₇×Q₈	—	4	1	no	—
798	C₇×Q₈	—	4	4	no	—
799	C₇×Q₈	—	4	4	no	—
800	C₇×Q₈	—	4	8	no	—
801	C₇×D₄	—	2	16	no	—
802	C₇×D₄	—	2	8	no	—
803	C₇×D₄	—	2	16	no	—
804	C₇×D₄	—	2	8	no	—
805	C₇×D₄	—	2	8	no	—
806	C₇×D₄	—	4	8	no	—
807	C₇×D₄	—	4	8	no	—
808	C₇×D₄	—	4	4	no	—
809	C₇×D₄	—	4	8	no	—
810	C₇×D₄	—	4	8	no	—
811	C₇×D₄	—	4	8	no	—
812	C₇×D₄	—	4	4	no	—
813	C₇×D₄	—	4	2	no	—
814	C₇×D₄	—	4	1	no	—
815	C₇×D₄	—	4	2	no	—
816	C₇×D₄	—	4	2	no	—
817	C₇×D₄	—	4	1	no	—
818	C₇×D₄	—	4	4	no	—
819	C₇×D₄	—	4	2	no	—
820	C₇×D₄	—	4	2	no	—
821	C₇×D₄	—	4	4	no	—
822	C₇×D₄	—	4	8	no	—
823	C₇×D₄	—	4	8	no	—
824	C₇×D₄	—	4	8	no	—
825	C₂×C₄×C₇	—	2	2	no	—
826	C₂×C₄×C₇	—	2	4	no	—
827	C₂×C₄×C₇	—	2	4	no	—
828	C₂×C₄×C₇	—	2	8	no	—
829	C₂×C₄×C₇	—	2	4	no	—
830	C₂×C₄×C₇	—	2	4	no	—
831	C₂×C₄×C₇	—	2	4	no	—
832	C₂×C₄×C₇	—	2	2	no	—
833	C₂×C₄×C₇	—	2	2	no	—
834	C₂×C₄×C₇	—	2	4	no	—
835	C₂×C₄×C₇	—	2	4	no	—
836	C₂×C₄×C₇	—	2	2	no	—
837	C₂×C₄×C₇	—	2	2	no	—
838	C₂×C₄×C₇	—	2	4	no	—
839	C₂×C₄×C₇	—	2	4	no	—
840	C₂×C₄×C₇	—	2	4	no	—
841	C₂×C₄×C₇	—	2	16	no	—
842	C₂×C₄×C₇	—	4	1	no	—
843	C₂×C₄×C₇	—	4	2	no	—
844	C₂×C₄×C₇	—	4	2	no	—
845	C₂×C₄×C₇	—	4	2	no	—
846	C₂×C₄×C₇	—	4	2	no	—
847	C₂×C₄×C₇	—	4	2	no	—
848	C₂×C₄×C₇	—	4	1	no	—
849	C₂×C₄×C₇	—	4	4	no	—
850	C₂×C₄×C₇	—	4	4	no	—
851	C₂×C₄×C₇	—	4	8	no	—
852	C₂×C₄×C₇	—	4	8	no	—
853	C₂×C₄×C₇	—	4	8	no	—
854	C₂×C₄×C₇	—	4	4	no	—
855	C₂×C₄×C₇	—	4	4	no	—
856	C₂×C₄×C₇	—	4	8	no	—
857	C₂×C₄×C₇	—	4	8	no	—
858	C₂×C₄×C₇	H(5,𝔽₂)	1	4	yes	—
859	C₂×C₄×C₇	C₂⁵	1	4	yes	—
860	C₂×C₄×C₇	C₂⁵	1	8	yes	—
861	C₂×C₄×C₇	C₂⁵	1	8	yes	—
862	C₂×C₄×C₇	C₂⁵	1	4	yes	—
863	C₂×C₄×C₇	C₂⁵	1	2	yes	—
864	C₂×C₄×C₇	C₂⁵	1	2	yes	—
865	C₂×C₄×C₇	C₂⁵	1	8	yes	—
866	C₂×C₄×C₇	C₂⁵	1	2	yes	—
867	C₂×C₄×C₇	C₂⁵	1	2	yes	—
868	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
869	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
870	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
871	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
872	C₂⁵	C₂³×C₇	1	1	yes	characteristic
873	C₂×#41	—	4	4	no	—
874	C₂×#41	—	4	8	no	—
875	C₂×#41	—	4	8	no	—
876	C₂×#41	C₂³×C₇	1	4	yes	—
877	C₂×#41	C₂³×C₇	1	8	yes	—
878	C₂×#41	C₂³×C₇	1	1	yes	characteristic
879	C₂×#41	C₂³×C₇	1	1	yes	characteristic
880	C₂×#41	C₂³×C₇	1	2	yes	—
881	C₂×#41	C₂³×C₇	1	4	yes	—
882	C₂×#41	C₂³×C₇	1	1	yes	characteristic
883	C₂×#41	C₂³×C₇	1	2	yes	—
884	C₂×#41	C₂³×C₇	1	1	yes	characteristic
885	C₂×#41	C₂³×C₇	1	4	yes	—
886	C₂×#41	C₂³×C₇	1	4	yes	—
887	C₂×#41	C₂³×C₇	1	4	yes	—
888	C₂×#41	C₂³×C₇	1	4	yes	complemented
889	C₂×#41	C₂³×C₇	1	4	yes	complemented
890	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
891	C₂²×Q₈	C₂³×C₇	1	2	yes	—
892	C₂²×Q₈	C₂³×C₇	1	2	yes	complemented
893	C₂²×D₄	C₂³×C₇	1	4	yes	—
894	C₂²×D₄	C₂³×C₇	1	4	yes	—
895	C₂²×D₄	C₂³×C₇	1	4	yes	—
896	C₂²×D₄	C₂³×C₇	1	8	yes	—
897	C₂²×D₄	C₂³×C₇	1	2	yes	—
898	C₂²×D₄	C₂³×C₇	1	4	yes	—
899	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
900	C₂²×D₄	C₂³×C₇	1	2	yes	—
901	C₂²×D₄	C₂³×C₇	1	4	yes	—
902	C₂²×D₄	C₂³×C₇	1	2	yes	complemented
903	C₂³×C₄	—	4	4	no	—
904	C₂³×C₄	C₂³×C₇	1	2	yes	—
905	C₂³×C₄	C₂³×C₇	1	2	yes	—
906	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
907	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
908	C₂³×C₄	C₂³×C₇	1	4	yes	—
909	C₂³×C₄	C₂³×C₇	1	2	yes	—
910	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
911	C₂³×C₄	C₂³×C₇	1	2	yes	—
912	C₂³×C₄	C₂³×C₇	1	2	yes	—
913	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
914	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
915	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
916	C₂³×C₄	C₂³×C₇	1	4	yes	complemented
917	C₄⋊Q₈	C₂³×C₇	1	4	yes	complemented
918	C₄⋊Q₈	C₂³×C₇	1	4	yes	complemented
919	C₄⋊Q₈	C₂³×C₇	1	2	yes	complemented
920	C₄⋊Q₈	C₂³×C₇	1	8	yes	complemented
921	C₄⋊Q₈	C₂³×C₇	1	4	yes	complemented
922	#127	C₂³×C₇	1	4	yes	—
923	#127	C₂³×C₇	1	4	yes	—
924	#127	C₂³×C₇	1	8	yes	—
925	#127	C₂³×C₇	1	2	yes	complemented
926	#126	C₂³×C₇	1	8	yes	—
927	#126	C₂³×C₇	1	8	yes	—
928	#126	C₂³×C₇	1	8	yes	—
929	#126	C₂³×C₇	1	8	yes	—
930	#126	C₂³×C₇	1	8	yes	complemented
931	#126	C₂³×C₇	1	8	yes	complemented
932	#126	C₂³×C₇	1	8	yes	complemented
933	#126	C₂³×C₇	1	8	yes	complemented
934	#126	C₂³×C₇	1	8	yes	complemented
935	#126	C₂³×C₇	1	8	yes	complemented
936	#125	C₂³×C₇	1	8	yes	complemented
937	#125	C₂³×C₇	1	8	yes	complemented
938	#125	C₂³×C₇	1	8	yes	complemented
939	#125	C₂³×C₇	1	8	yes	complemented
940	#125	C₂³×C₇	1	8	yes	complemented
941	#125	C₂³×C₇	1	2	yes	complemented
942	#125	C₂³×C₇	1	2	yes	complemented
943	#124	C₂³×C₇	1	8	yes	—
944	#124	C₂³×C₇	1	8	yes	—
945	#124	C₂³×C₇	1	8	yes	—
946	#124	C₂³×C₇	1	8	yes	—
947	#124	C₂³×C₇	1	4	yes	—
948	#124	C₂³×C₇	1	4	yes	—
949	#124	C₂³×C₇	1	8	yes	—
950	#124	C₂³×C₇	1	8	yes	complemented
951	#124	C₂³×C₇	1	4	yes	complemented
952	#124	C₂³×C₇	1	4	yes	complemented
953	#124	C₂³×C₇	1	8	yes	complemented
954	#124	C₂³×C₇	1	4	yes	complemented
955	#123	C₂³×C₇	1	2	yes	—
956	#123	C₂³×C₇	1	8	yes	—
957	#123	C₂³×C₇	1	4	yes	—
958	#123	C₂³×C₇	1	8	yes	—
959	#123	C₂³×C₇	1	4	yes	—
960	#123	C₂³×C₇	1	8	yes	—
961	#123	C₂³×C₇	1	2	yes	—
962	#123	C₂³×C₇	1	2	yes	—
963	#123	C₂³×C₇	1	8	yes	—
964	#123	C₂³×C₇	1	2	yes	—
965	#123	C₂³×C₇	1	4	yes	—
966	#123	C₂³×C₇	1	8	yes	—
967	#123	C₂³×C₇	1	4	yes	—
968	#123	C₂³×C₇	1	8	yes	—
969	#123	C₂³×C₇	1	8	yes	—
970	#123	C₂³×C₇	1	8	yes	—
971	#123	C₂³×C₇	1	8	yes	—
972	#123	C₂³×C₇	1	8	yes	—
973	#123	C₂³×C₇	1	8	yes	—
974	#123	C₂³×C₇	1	8	yes	—
975	#123	C₂³×C₇	1	4	yes	complemented
976	#123	C₂³×C₇	1	4	yes	complemented
977	#123	C₂³×C₇	1	8	yes	complemented
978	#123	C₂³×C₇	1	8	yes	complemented
979	#123	C₂³×C₇	1	8	yes	complemented
980	#123	C₂³×C₇	1	8	yes	complemented
981	#123	C₂³×C₇	1	8	yes	complemented
982	#123	C₂³×C₇	1	8	yes	complemented
983	#123	C₂³×C₇	1	8	yes	complemented
984	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
985	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
986	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
987	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
988	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
989	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
990	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
991	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
992	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
993	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
994	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
995	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
996	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
997	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
998	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
999	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1000	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1001	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
1002	C₂²⋊Q₈	C₂³×C₇	1	4	yes	complemented
1003	C₂²⋊Q₈	C₂³×C₇	1	4	yes	complemented
1004	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
1005	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
1006	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
1007	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
1008	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
1009	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
1010	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
1011	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
1012	#121	C₂³×C₇	1	2	yes	—
1013	#121	C₂³×C₇	1	4	yes	—
1014	#121	C₂³×C₇	1	4	yes	—
1015	#121	C₂³×C₇	1	4	yes	—
1016	#121	C₂³×C₇	1	2	yes	—
1017	#121	C₂³×C₇	1	2	yes	—
1018	#121	C₂³×C₇	1	4	yes	—
1019	#121	C₂³×C₇	1	2	yes	—
1020	#121	C₂³×C₇	1	4	yes	—
1021	#121	C₂³×C₇	1	4	yes	—
1022	#121	C₂³×C₇	1	4	yes	—
1023	#121	C₂³×C₇	1	4	yes	—
1024	#121	C₂³×C₇	1	4	yes	—
1025	#121	C₂³×C₇	1	4	yes	—
1026	#121	C₂³×C₇	1	8	yes	—
1027	#121	C₂³×C₇	1	8	yes	—
1028	#121	C₂³×C₇	1	8	yes	—
1029	#121	C₂³×C₇	1	8	yes	—
1030	#121	C₂³×C₇	1	8	yes	—
1031	#121	C₂³×C₇	1	8	yes	—
1032	#121	C₂³×C₇	1	8	yes	—
1033	#121	C₂³×C₇	1	8	yes	—
1034	#121	C₂³×C₇	1	8	yes	—
1035	#121	C₂³×C₇	1	8	yes	—
1036	#121	C₂³×C₇	1	8	yes	—
1037	#121	C₂³×C₇	1	8	yes	—
1038	#121	C₂³×C₇	1	8	yes	—
1039	#121	C₂³×C₇	1	8	yes	—
1040	#121	C₂³×C₇	1	8	yes	—
1041	#121	C₂³×C₇	1	4	yes	complemented
1042	#121	C₂³×C₇	1	4	yes	complemented
1043	#121	C₂³×C₇	1	8	yes	complemented
1044	#121	C₂³×C₇	1	8	yes	complemented
1045	#121	C₂³×C₇	1	8	yes	complemented
1046	#121	C₂³×C₇	1	8	yes	complemented
1047	#121	C₂³×C₇	1	8	yes	complemented
1048	#120	C₂³×C₇	1	2	yes	—
1049	#120	C₂³×C₇	1	4	yes	—
1050	#120	C₂³×C₇	1	8	yes	—
1051	#120	C₂³×C₇	1	8	yes	—
1052	#120	C₂³×C₇	1	4	yes	—
1053	#120	C₂³×C₇	1	8	yes	—
1054	#120	C₂³×C₇	1	2	yes	—
1055	#120	C₂³×C₇	1	2	yes	—
1056	#120	C₂³×C₇	1	8	yes	—
1057	#120	C₂³×C₇	1	2	yes	—
1058	#120	C₂³×C₇	1	4	yes	—
1059	#120	C₂³×C₇	1	8	yes	—
1060	#120	C₂³×C₇	1	4	yes	—
1061	#120	C₂³×C₇	1	8	yes	—
1062	#120	C₂³×C₇	1	8	yes	—
1063	#120	C₂³×C₇	1	8	yes	—
1064	#120	C₂³×C₇	1	4	yes	complemented
1065	#120	C₂³×C₇	1	4	yes	complemented
1066	#120	C₂³×C₇	1	8	yes	complemented
1067	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
1068	C₄×Q₈	C₂³×C₇	1	4	yes	complemented
1069	C₄×Q₈	C₂³×C₇	1	4	yes	complemented
1070	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
1071	C₄×D₄	C₂³×C₇	1	4	yes	—
1072	C₄×D₄	C₂³×C₇	1	8	yes	—
1073	C₄×D₄	C₂³×C₇	1	4	yes	—
1074	C₄×D₄	C₂³×C₇	1	4	yes	—
1075	C₄×D₄	C₂³×C₇	1	4	yes	—
1076	C₄×D₄	C₂³×C₇	1	8	yes	—
1077	C₄×D₄	C₂³×C₇	1	8	yes	—
1078	C₄×D₄	C₂³×C₇	1	8	yes	—
1079	C₄×D₄	C₂³×C₇	1	4	yes	—
1080	C₄×D₄	C₂³×C₇	1	8	yes	—
1081	C₄×D₄	C₂³×C₇	1	8	yes	—
1082	C₄×D₄	C₂³×C₇	1	4	yes	—
1083	C₄×D₄	C₂³×C₇	1	4	yes	—
1084	C₄×D₄	C₂³×C₇	1	8	yes	—
1085	C₄×D₄	C₂³×C₇	1	4	yes	—
1086	C₄×D₄	C₂³×C₇	1	8	yes	—
1087	C₄×D₄	C₂³×C₇	1	8	yes	—
1088	C₄×D₄	C₂³×C₇	1	8	yes	—
1089	C₄×D₄	C₂³×C₇	1	8	yes	—
1090	C₄×D₄	C₂³×C₇	1	8	yes	—
1091	C₄×D₄	C₂³×C₇	1	8	yes	—
1092	C₄×D₄	C₂³×C₇	1	8	yes	—
1093	C₄×D₄	C₂³×C₇	1	8	yes	complemented
1094	C₄×D₄	C₂³×C₇	1	8	yes	complemented
1095	C₄×D₄	C₂³×C₇	1	8	yes	complemented
1096	C₄×D₄	C₂³×C₇	1	8	yes	complemented
1097	C₄×D₄	C₂³×C₇	1	8	yes	complemented
1098	C₄×D₄	C₂³×C₇	1	8	yes	complemented
1099	C₄×D₄	C₂³×C₇	1	4	yes	complemented
1100	C₄×D₄	C₂³×C₇	1	4	yes	complemented
1101	#117	C₂³×C₇	1	4	yes	—
1102	#117	C₂³×C₇	1	1	yes	characteristic
1103	#117	C₂³×C₇	1	2	yes	—
1104	#117	C₂³×C₇	1	2	yes	—
1105	#117	C₂³×C₇	1	4	yes	—
1106	#117	C₂³×C₇	1	2	yes	—
1107	#117	C₂³×C₇	1	1	yes	characteristic
1108	#117	C₂³×C₇	1	4	yes	—
1109	#117	C₂³×C₇	1	4	yes	—
1110	#117	C₂³×C₇	1	4	yes	—
1111	#117	C₂³×C₇	1	8	yes	—
1112	#117	C₂³×C₇	1	4	yes	complemented
1113	#117	C₂³×C₇	1	2	yes	complemented
1114	#117	C₂³×C₇	1	2	yes	complemented
1115	#117	C₂³×C₇	1	8	yes	complemented
1116	#117	C₂³×C₇	1	8	yes	complemented
1117	#117	C₂³×C₇	1	8	yes	complemented
1118	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1119	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1120	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1121	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1122	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1123	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1124	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	complemented
1125	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
1126	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1127	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1128	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1129	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1130	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1131	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1132	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1133	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1134	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1135	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
1136	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	complemented
1137	C₂×C₄²	C₂³×C₇	1	4	yes	—
1138	C₂×C₄²	C₂³×C₇	1	2	yes	—
1139	C₂×C₄²	C₂³×C₇	1	4	yes	complemented
1140	C₂×C₄²	C₂³×C₇	1	8	yes	complemented
1141	C₂²×C₇	—	2	2	no	—
1142	C₂²×C₇	—	2	2	no	—
1143	C₂²×C₇	—	2	2	no	—
1144	C₂²×C₇	—	2	2	no	—
1145	C₂²×C₇	—	2	1	no	—
1146	C₂²×C₇	—	2	1	no	—
1147	C₂²×C₇	—	2	2	no	—
1148	C₂²×C₇	—	2	2	no	—
1149	C₂²×C₇	—	2	8	no	—
1150	C₂²×C₇	—	2	4	no	—
1151	C₂²×C₇	—	2	8	no	—
1152	C₂²×C₇	—	2	8	no	—
1153	C₂²×C₇	—	2	4	no	—
1154	C₂²×C₇	—	2	2	no	—
1155	C₂²×C₇	—	2	2	no	—
1156	C₂²×C₇	—	2	2	no	—
1157	C₂²×C₇	—	2	2	no	—
1158	C₂²×C₇	—	4	8	no	—
1159	C₂²×C₇	—	4	4	no	—
1160	C₂²×C₇	—	4	4	no	—
1161	C₂²×C₇	—	4	8	no	—
1162	C₂²×C₇	—	4	4	no	—
1163	C₂²×C₇	—	8	4	no	—
1164	C₂²×C₇	—	8	8	no	—
1165	C₂²×C₇	—	8	8	no	—
1166	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1167	C₂²×C₇	#585	1	4	yes	—
1168	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1169	C₄×C₇	—	2	2	no	—
1170	C₄×C₇	—	2	1	no	—
1171	C₄×C₇	—	2	1	no	—
1172	C₄×C₇	—	2	2	no	—
1173	C₄×C₇	—	2	2	no	—
1174	C₄×C₇	—	2	2	no	—
1175	C₄×C₇	—	2	8	no	—
1176	C₄×C₇	—	2	8	no	—
1177	C₄×C₇	—	2	4	no	—
1178	C₄×C₇	—	2	8	no	—
1179	C₄×C₇	—	2	4	no	—
1180	C₄×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1181	C₄×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1182	C₂⁴	—	4	2	no	—
1183	C₂⁴	—	4	4	no	—
1184	C₂⁴	C₂⁴×C₇	1	2	yes	—
1185	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1186	C₂⁴	C₂⁴×C₇	1	2	yes	—
1187	C₂⁴	C₂⁴×C₇	1	4	yes	—
1188	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1189	C₂⁴	C₂⁴×C₇	1	2	yes	—
1190	C₂⁴	C₂⁴×C₇	1	4	yes	—
1191	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1192	#41	—	2	16	no	—
1193	#41	—	4	2	no	—
1194	#41	—	4	4	no	—
1195	#41	—	4	2	no	—
1196	#41	—	4	4	no	—
1197	#41	—	4	2	no	—
1198	#41	—	4	2	no	—
1199	#41	—	4	8	no	—
1200	#41	—	4	8	no	—
1201	#41	—	4	8	no	—
1202	#41	—	4	8	no	—
1203	#41	—	4	16	no	—
1204	#41	—	4	8	no	—
1205	#41	—	4	8	no	—
1206	C₂×Q₈	—	4	2	no	—
1207	C₂×Q₈	—	4	4	no	—
1208	C₂×Q₈	—	4	4	no	—
1209	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1210	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1211	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1212	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1213	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1214	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1215	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1216	C₂×D₄	—	4	4	no	—
1217	C₂×D₄	—	4	4	no	—
1218	C₂×D₄	—	4	2	no	—
1219	C₂×D₄	—	4	4	no	—
1220	C₂×D₄	—	4	8	no	—
1221	C₂×D₄	—	4	8	no	—
1222	C₂×D₄	—	4	8	no	—
1223	C₂×D₄	—	4	16	no	—
1224	C₂×D₄	—	4	8	no	—
1225	C₂×D₄	—	4	8	no	—
1226	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1227	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1228	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1229	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1230	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1231	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1232	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1233	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1234	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1235	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1236	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1237	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1238	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1239	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1240	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1241	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1242	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1243	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1244	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1245	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1246	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1247	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1248	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1249	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1250	C₂²×C₄	—	2	4	no	—
1251	C₂²×C₄	—	2	8	no	—
1252	C₂²×C₄	—	2	8	no	—
1253	C₂²×C₄	—	4	2	no	—
1254	C₂²×C₄	—	4	4	no	—
1255	C₂²×C₄	—	4	2	no	—
1256	C₂²×C₄	—	4	4	no	—
1257	C₂²×C₄	—	4	2	no	—
1258	C₂²×C₄	—	4	2	no	—
1259	C₂²×C₄	—	4	8	no	—
1260	C₂²×C₄	—	4	8	no	—
1261	C₂²×C₄	—	4	4	no	—
1262	C₂²×C₄	—	4	2	no	—
1263	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1264	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1265	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1266	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1267	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1268	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1269	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1270	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1271	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1272	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1273	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1274	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1275	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1276	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1277	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1278	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1279	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1280	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1281	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1282	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1283	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1284	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1285	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1286	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1287	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1288	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1289	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1290	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1291	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1292	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1293	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1294	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1295	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1296	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1297	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1298	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1299	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1300	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1301	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1302	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1303	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1304	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1305	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1306	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1307	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1308	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1309	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1310	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1311	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1312	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1313	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1314	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1315	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1316	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1317	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1318	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1319	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1320	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1321	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1322	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1323	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1324	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1325	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1326	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1327	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1328	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1329	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1330	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1331	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1332	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1333	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1334	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1335	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1336	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1337	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1338	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1339	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1340	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1341	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1342	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1343	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1344	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1345	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1346	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1347	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1348	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1349	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1350	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1351	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1352	C₄²	C₂⁴×C₇	1	4	yes	—
1353	C₄²	C₂⁴×C₇	1	8	yes	—
1354	C₄²	C₂⁴×C₇	1	8	yes	—
1355	C₄²	C₂⁴×C₇	1	2	yes	—
1356	C₄²	C₂⁴×C₇	1	2	yes	—
1357	C₄²	C₂⁴×C₇	1	4	yes	—
1358	C₄²	C₂⁴×C₇	1	8	yes	—
1359	C₄²	C₂⁴×C₇	1	4	yes	—
1360	C₄²	C₂⁴×C₇	1	8	yes	—
1361	C₂×C₇	—	2	2	no	—
1362	C₂×C₇	—	2	4	no	—
1363	C₂×C₇	—	4	2	no	—
1364	C₂×C₇	—	4	1	no	—
1365	C₂×C₇	—	4	1	no	—
1366	C₂×C₇	—	4	2	no	—
1367	C₂×C₇	—	4	8	no	—
1368	C₂×C₇	—	4	2	no	—
1369	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1370	C₂×C₇	C₂×#585	1	2	yes	—
1371	C₂³	—	2	4	no	—
1372	C₂³	—	2	2	no	—
1373	C₂³	—	2	4	no	—
1374	C₂³	—	2	4	no	—
1375	C₂³	—	2	4	no	—
1376	C₂³	—	2	4	no	—
1377	C₂³	—	2	8	no	—
1378	C₂³	—	4	1	no	—
1379	C₂³	—	4	2	no	—
1380	C₂³	—	4	1	no	—
1381	C₂³	—	4	2	no	—
1382	C₂³	—	4	2	no	—
1383	C₂³	—	4	2	no	—
1384	C₂³	—	4	2	no	—
1385	C₂³	—	4	4	no	—
1386	C₂³	—	4	4	no	—
1387	C₂³	—	4	4	no	—
1388	C₂³	—	4	4	no	—
1389	C₂³	—	4	8	no	—
1390	C₂³	—	4	16	no	—
1391	C₂³	C₂⁵×C₇	1	2	yes	—
1392	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1393	C₂³	C₂⁵×C₇	1	2	yes	—
1394	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1395	C₂³	C₂⁵×C₇	1	8	yes	—
1396	C₂³	C₂⁵×C₇	1	2	yes	—
1397	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1398	C₂³	C₂⁵×C₇	1	2	yes	—
1399	Q₈	—	2	8	no	—
1400	Q₈	—	4	1	no	—
1401	Q₈	—	4	2	no	—
1402	Q₈	—	4	1	no	—
1403	Q₈	—	4	4	no	—
1404	Q₈	—	4	4	no	—
1405	Q₈	—	4	8	no	—
1406	D₄	—	2	16	no	—
1407	D₄	—	2	8	no	—
1408	D₄	—	2	16	no	—
1409	D₄	—	2	8	no	—
1410	D₄	—	2	8	no	—
1411	D₄	—	4	8	no	—
1412	D₄	—	4	8	no	—
1413	D₄	—	4	4	no	—
1414	D₄	—	4	8	no	—
1415	D₄	—	4	8	no	—
1416	D₄	—	4	8	no	—
1417	D₄	—	4	4	no	—
1418	D₄	—	4	2	no	—
1419	D₄	—	4	1	no	—
1420	D₄	—	4	2	no	—
1421	D₄	—	4	2	no	—
1422	D₄	—	4	1	no	—
1423	D₄	—	4	4	no	—
1424	D₄	—	4	2	no	—
1425	D₄	—	4	2	no	—
1426	D₄	—	4	4	no	—
1427	D₄	—	4	8	no	—
1428	D₄	—	4	8	no	—
1429	D₄	—	4	8	no	—
1430	C₂×C₄	—	2	2	no	—
1431	C₂×C₄	—	2	4	no	—
1432	C₂×C₄	—	2	4	no	—
1433	C₂×C₄	—	2	8	no	—
1434	C₂×C₄	—	2	4	no	—
1435	C₂×C₄	—	2	4	no	—
1436	C₂×C₄	—	2	4	no	—
1437	C₂×C₄	—	2	2	no	—
1438	C₂×C₄	—	2	2	no	—
1439	C₂×C₄	—	2	4	no	—
1440	C₂×C₄	—	2	4	no	—
1441	C₂×C₄	—	2	2	no	—
1442	C₂×C₄	—	2	2	no	—
1443	C₂×C₄	—	2	4	no	—
1444	C₂×C₄	—	2	4	no	—
1445	C₂×C₄	—	2	4	no	—
1446	C₂×C₄	—	2	16	no	—
1447	C₂×C₄	—	4	1	no	—
1448	C₂×C₄	—	4	2	no	—
1449	C₂×C₄	—	4	2	no	—
1450	C₂×C₄	—	4	2	no	—
1451	C₂×C₄	—	4	2	no	—
1452	C₂×C₄	—	4	2	no	—
1453	C₂×C₄	—	4	1	no	—
1454	C₂×C₄	—	4	4	no	—
1455	C₂×C₄	—	4	4	no	—
1456	C₂×C₄	—	4	8	no	—
1457	C₂×C₄	—	4	8	no	—
1458	C₂×C₄	—	4	8	no	—
1459	C₂×C₄	—	4	4	no	—
1460	C₂×C₄	—	4	4	no	—
1461	C₂×C₄	—	4	8	no	—
1462	C₂×C₄	—	4	8	no	—
1463	C₂×C₄	C₇×H(5,𝔽₂)	1	4	yes	—
1464	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1465	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1466	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1467	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1468	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1469	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1470	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1471	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1472	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1473	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1474	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1475	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1476	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1477	C₇	#62729	1	1	yes	characteristic, direct product factor, Sylow
1478	C₂²	—	2	2	no	—
1479	C₂²	—	2	2	no	—
1480	C₂²	—	2	2	no	—
1481	C₂²	—	2	2	no	—
1482	C₂²	—	2	1	no	—
1483	C₂²	—	2	1	no	—
1484	C₂²	—	2	2	no	—
1485	C₂²	—	2	2	no	—
1486	C₂²	—	2	8	no	—
1487	C₂²	—	2	4	no	—
1488	C₂²	—	2	8	no	—
1489	C₂²	—	2	8	no	—
1490	C₂²	—	2	4	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	2	2	no	—
1493	C₂²	—	2	2	no	—
1494	C₂²	—	2	2	no	—
1495	C₂²	—	4	8	no	—
1496	C₂²	—	4	4	no	—
1497	C₂²	—	4	4	no	—
1498	C₂²	—	4	8	no	—
1499	C₂²	—	4	4	no	—
1500	C₂²	—	8	4	no	—
1501	C₂²	—	8	8	no	—
1502	C₂²	—	8	8	no	—
1503	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1504	C₂²	C₇×#585	1	4	yes	—
1505	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1506	C₄	—	2	2	no	—
1507	C₄	—	2	1	no	—
1508	C₄	—	2	1	no	—
1509	C₄	—	2	2	no	—
1510	C₄	—	2	2	no	—
1511	C₄	—	2	2	no	—
1512	C₄	—	2	8	no	—
1513	C₄	—	2	8	no	—
1514	C₄	—	2	4	no	—
1515	C₄	—	2	8	no	—
1516	C₄	—	2	4	no	—
1517	C₄	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1518	C₄	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1519	C₂	—	2	2	no	—
1520	C₂	—	2	4	no	—
1521	C₂	—	4	2	no	—
1522	C₂	—	4	1	no	—
1523	C₂	—	4	1	no	—
1524	C₂	—	4	2	no	—
1525	C₂	—	4	8	no	—
1526	C₂	—	4	2	no	—
1527	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1528	C₂	C₂×C₇×#585	1	2	yes	—

	subgroup	G/H
center	C₂×C₄×C₇	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₇
socle	C₂²×C₇	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3542	C₂	semidirect
2. C₇×#3541	C₂	semidirect
3. C₇×#3540	C₂	semidirect
4. C₇×#3539	C₂	semidirect
5. C₇×#3538	C₂	semidirect
6. C₇×#3537	C₂	semidirect
7. C₇×#3536	C₂	semidirect
8. C₇×#3535	C₂	semidirect
9. C₇×#3534	C₂	semidirect
10. C₇×#3533	C₂	semidirect
11. C₇×#3532	C₂	semidirect
12. C₇×#3529	C₂	semidirect
13. C₇×#3481	C₂	semidirect
14. C₇×#3475	C₂	semidirect
15. C₇×D₄×#41	C₂	semidirect
16. C₇×#3460	C₂	semidirect
17. C₇×#3459	C₂	semidirect
18. C₇×#3455	C₂	semidirect
19. C₇×#3449	C₂	semidirect
20. C₂×C₇×#525	C₂	semidirect
21. C₂×C₇×#525	C₂	semidirect
22. C₂²×C₇×#41	C₂²	semidirect
23. C₂²×C₇×#41	C₂²	semidirect
24. C₂²×C₇×#41	C₂²	semidirect
25. C₂⁴×C₄×C₇	C₂²	semidirect
26. C₇×#563	C₂²	semidirect
27. C₇×#563	C₂²	semidirect
28. C₇×#562	C₂²	semidirect
29. C₇×#562	C₂²	semidirect
30. C₇×#562	C₂²	semidirect
31. C₇×H(3,𝔽₄)	C₂²	semidirect
32. C₇×#560	C₂²	semidirect
33. C₇×#560	C₂²	semidirect
34. C₇×#560	C₂²	semidirect
35. C₇×#560	C₂²	semidirect
36. C₇×#559	C₂²	semidirect
37. C₇×#556	C₂²	semidirect
38. C₇×#555	C₂²	semidirect
39. C₇×#554	C₂²	semidirect
40. C₇×#554	C₂²	semidirect
41. C₇×#553	C₂²	semidirect
42. C₇×#553	C₂²	semidirect
43. C₇×#553	C₂²	semidirect
44. C₇×#553	C₂²	semidirect
45. C₇×#552	C₂²	semidirect
46. C₇×#552	C₂²	semidirect
47. C₇×#552	C₂²	semidirect
48. C₇×#551	C₂²	semidirect
49. C₇×#551	C₂²	semidirect
50. C₇×#551	C₂²	semidirect
51. C₇×#551	C₂²	semidirect
52. C₇×#551	C₂²	semidirect
53. C₇×#550	C₂²	semidirect
54. C₇×D₄×Q₈	C₂²	semidirect
55. C₇×#548	C₂²	semidirect
56. C₇×#548	C₂²	semidirect
57. C₇×#547	C₂²	semidirect
58. C₇×#547	C₂²	semidirect
59. C₇×#547	C₂²	semidirect
60. C₇×#546	C₂²	semidirect
61. C₇×#546	C₂²	semidirect
62. C₇×#546	C₂²	semidirect
63. C₇×#546	C₂²	semidirect
64. C₇×#546	C₂²	semidirect
65. C₇×#546	C₂²	semidirect
66. C₇×#546	C₂²	semidirect
67. C₇×D₄²	C₂²	semidirect
68. C₇×D₄²	C₂²	semidirect
69. C₇×D₄²	C₂²	semidirect
70. C₇×#544	C₂²	semidirect
71. C₇×#543	C₂²	semidirect
72. C₇×#542	C₂²	semidirect
73. C₇×#542	C₂²	semidirect
74. C₇×#542	C₂²	semidirect
75. C₇×#542	C₂²	semidirect
76. C₇×#541	C₂²	semidirect
77. C₇×#541	C₂²	semidirect
78. C₇×#540	C₂²	semidirect
79. C₇×#540	C₂²	semidirect
80. C₇×#540	C₂²	semidirect
81. C₇×#540	C₂²	semidirect
82. C₇×#539	C₂²	semidirect
83. C₇×#539	C₂²	semidirect
84. C₇×#539	C₂²	semidirect
85. C₇×#539	C₂²	semidirect
86. C₇×#539	C₂²	semidirect
87. C₇×#538	C₂²	semidirect
88. C₇×#538	C₂²	semidirect
89. C₇×#538	C₂²	semidirect
90. C₇×#538	C₂²	semidirect
91. C₇×#538	C₂²	semidirect
92. C₇×#538	C₂²	semidirect
93. C₇×#538	C₂²	semidirect
94. C₇×#537	C₂²	semidirect
95. C₇×#537	C₂²	semidirect
96. C₇×#537	C₂²	semidirect
97. C₇×#536	C₂²	semidirect
98. C₇×#536	C₂²	semidirect
99. C₇×#536	C₂²	semidirect
100. C₇×#535	C₂²	semidirect
101. C₇×#535	C₂²	semidirect
102. C₇×#535	C₂²	semidirect
103. C₇×#535	C₂²	semidirect
104. C₇×#534	C₂²	semidirect
105. C₇×#534	C₂²	semidirect
106. C₇×#534	C₂²	semidirect
107. C₇×#534	C₂²	semidirect
108. C₇×#533	C₂²	semidirect
109. C₇×#532	C₂²	semidirect
110. C₇×#532	C₂²	semidirect
111. C₇×#532	C₂²	semidirect
112. C₇×#532	C₂²	semidirect
113. C₇×#529	C₂²	semidirect
114. C₇×#529	C₂²	semidirect
115. C₇×#529	C₂²	semidirect
116. C₇×#529	C₂²	semidirect
117. C₇×#529	C₂²	semidirect
119. C₇×#525	C₂²	semidirect
120. C₇×#525	C₂²	semidirect
121. C₇×#525	C₂²	semidirect
122. C₇×#525	C₂²	semidirect
123. C₇×#525	C₂²	semidirect
124. C₇×#525	C₂²	semidirect
125. C₇×#525	C₂²	semidirect
126. C₇×#525	C₂²	semidirect
127. C₇×#525	C₂²	semidirect
128. C₇×#525	C₂²	semidirect
129. C₇×#525	C₂²	semidirect
130. C₇×#525	C₂²	semidirect
131. C₇×#525	C₂²	semidirect
132. C₇×#525	C₂²	semidirect
133. C₇×#525	C₂²	semidirect
134. C₇×#525	C₂²	semidirect
135. C₇×#525	C₂²	semidirect
136. C₇×#525	C₂²	semidirect
137. C₇×#525	C₂²	semidirect
138. C₇×#525	C₂²	semidirect
139. C₇×#525	C₂²	semidirect
140. C₂×C₇×#123	C₂²	semidirect
141. C₂×C₇×#123	C₂²	semidirect
142. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
143. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
144. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
145. C₂×C₇×#121	C₂²	semidirect
146. C₂×C₇×#121	C₂²	semidirect
147. C₂×C₇×#121	C₂²	semidirect
148. C₂×C₇×#120	C₂²	semidirect
149. C₂×C₇×#120	C₂²	semidirect
150. C₄×C₇×#41	C₂²	semidirect
151. C₄×C₇×#41	C₂²	semidirect
152. C₂×C₄×C₇×D₄	C₂²	semidirect
153. C₂×C₄×C₇×D₄	C₂²	semidirect
154. C₂×C₄×C₇×D₄	C₂²	semidirect
155. C₂×C₄×C₇×D₄	C₂²	semidirect
156. C₂×C₇×#117	C₂²	semidirect
157. C₂×C₇×#117	C₂²	semidirect
158. C₂×C₇×#117	C₂²	semidirect
159. #62729	C₇	direct (N × H)
176. C₂×C₇×#41	C₂³	semidirect
177. C₂×C₇×#41	C₂³	semidirect
180. C₂²×C₇×Q₈	C₂³	semidirect
190. C₂²×C₇×D₄	C₂³	semidirect
204. C₂³×C₄×C₇	C₂³	semidirect
205. C₇×C₄⋊Q₈	C₂³	semidirect
206. C₇×C₄⋊Q₈	C₂³	semidirect
207. C₇×C₄⋊Q₈	C₂³	semidirect
208. C₇×C₄⋊Q₈	C₂³	semidirect
209. C₇×C₄⋊Q₈	C₂³	semidirect
213. C₇×#127	C₂³	semidirect
218. C₇×#126	C₂³	semidirect
219. C₇×#126	C₂³	semidirect
220. C₇×#126	C₂³	semidirect
221. C₇×#126	C₂³	semidirect
222. C₇×#126	C₂³	semidirect
223. C₇×#126	C₂³	semidirect
224. C₇×#125	C₂³	semidirect
225. C₇×#125	C₂³	semidirect
226. C₇×#125	C₂³	semidirect
227. C₇×#125	C₂³	semidirect
228. C₇×#125	C₂³	semidirect
229. C₇×#125	C₂³	semidirect
230. C₇×#125	C₂³	semidirect
238. C₇×#124	C₂³	semidirect
239. C₇×#124	C₂³	semidirect
240. C₇×#124	C₂³	semidirect
241. C₇×#124	C₂³	semidirect
242. C₇×#124	C₂³	semidirect
263. C₇×#123	C₂³	semidirect
264. C₇×#123	C₂³	semidirect
265. C₇×#123	C₂³	semidirect
266. C₇×#123	C₂³	semidirect
267. C₇×#123	C₂³	semidirect
268. C₇×#123	C₂³	semidirect
269. C₇×#123	C₂³	semidirect
270. C₇×#123	C₂³	semidirect
271. C₇×#123	C₂³	semidirect
289. C₇×C₂²⋊Q₈	C₂³	semidirect
290. C₇×C₂²⋊Q₈	C₂³	semidirect
291. C₇×C₂²⋊Q₈	C₂³	semidirect
292. C₇×C₂²⋊Q₈	C₂³	semidirect
293. C₇×C₂²⋊Q₈	C₂³	semidirect
294. C₇×C₂²⋊Q₈	C₂³	semidirect
295. C₇×C₂²⋊Q₈	C₂³	semidirect
296. C₇×C₂²⋊Q₈	C₂³	semidirect
297. C₇×C₂²⋊Q₈	C₂³	semidirect
298. C₇×C₂²⋊Q₈	C₂³	semidirect
299. C₇×C₂²⋊Q₈	C₂³	semidirect
329. C₇×#121	C₂³	semidirect
330. C₇×#121	C₂³	semidirect
331. C₇×#121	C₂³	semidirect
332. C₇×#121	C₂³	semidirect
333. C₇×#121	C₂³	semidirect
334. C₇×#121	C₂³	semidirect
335. C₇×#121	C₂³	semidirect
352. C₇×#120	C₂³	semidirect
353. C₇×#120	C₂³	semidirect
354. C₇×#120	C₂³	semidirect
355. C₄×C₇×Q₈	C₂³	semidirect
356. C₄×C₇×Q₈	C₂³	semidirect
357. C₄×C₇×Q₈	C₂³	semidirect
358. C₄×C₇×Q₈	C₂³	semidirect
381. C₄×C₇×D₄	C₂³	semidirect
382. C₄×C₇×D₄	C₂³	semidirect
383. C₄×C₇×D₄	C₂³	semidirect
384. C₄×C₇×D₄	C₂³	semidirect
385. C₄×C₇×D₄	C₂³	semidirect
386. C₄×C₇×D₄	C₂³	semidirect
387. C₄×C₇×D₄	C₂³	semidirect
388. C₄×C₇×D₄	C₂³	semidirect
400. C₇×#117	C₂³	semidirect
401. C₇×#117	C₂³	semidirect
402. C₇×#117	C₂³	semidirect
403. C₇×#117	C₂³	semidirect
404. C₇×#117	C₂³	semidirect
405. C₇×#117	C₂³	semidirect
412. C₂×C₇×C₄⋊C₄	C₂³	semidirect
413. C₂×C₇×C₄⋊C₄	C₂³	semidirect
424. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
427. C₂×C₄²×C₇	C₂³	semidirect
428. C₂×C₄²×C₇	C₂³	semidirect
429. #3542	C₂×C₇	semidirect
430. #3541	C₂×C₇	semidirect
431. #3540	C₂×C₇	semidirect
432. #3539	C₂×C₇	semidirect
433. #3538	C₂×C₇	semidirect
434. #3537	C₂×C₇	semidirect
435. #3536	C₂×C₇	semidirect
436. #3535	C₂×C₇	semidirect
437. #3534	C₂×C₇	semidirect
438. #3533	C₂×C₇	semidirect
439. #3532	C₂×C₇	semidirect
440. #3529	C₂×C₇	semidirect
441. #3481	C₂×C₇	semidirect
442. #3475	C₂×C₇	semidirect
443. D₄×#41	C₂×C₇	semidirect
444. #3460	C₂×C₇	semidirect
445. #3459	C₂×C₇	semidirect
446. #3455	C₂×C₇	semidirect
447. #3449	C₂×C₇	semidirect
448. C₂×#525	C₂×C₇	semidirect
449. C₂×#525	C₂×C₇	semidirect
629. C₂²×#41	C₂²×C₇	semidirect
630. C₂²×#41	C₂²×C₇	semidirect
631. C₂²×#41	C₂²×C₇	semidirect
632. C₂⁴×C₄	C₂²×C₇	semidirect
633. #563	C₂²×C₇	semidirect
634. #563	C₂²×C₇	semidirect
635. #562	C₂²×C₇	semidirect
636. #562	C₂²×C₇	semidirect
637. #562	C₂²×C₇	semidirect
638. H(3,𝔽₄)	C₂²×C₇	semidirect
639. #560	C₂²×C₇	semidirect
640. #560	C₂²×C₇	semidirect
641. #560	C₂²×C₇	semidirect
642. #560	C₂²×C₇	semidirect
643. #559	C₂²×C₇	semidirect
644. #556	C₂²×C₇	semidirect
645. #555	C₂²×C₇	semidirect
646. #554	C₂²×C₇	semidirect
647. #554	C₂²×C₇	semidirect
648. #553	C₂²×C₇	semidirect
649. #553	C₂²×C₇	semidirect
650. #553	C₂²×C₇	semidirect
651. #553	C₂²×C₇	semidirect
652. #552	C₂²×C₇	semidirect
653. #552	C₂²×C₇	semidirect
654. #552	C₂²×C₇	semidirect
655. #551	C₂²×C₇	semidirect
656. #551	C₂²×C₇	semidirect
657. #551	C₂²×C₇	semidirect
658. #551	C₂²×C₇	semidirect
659. #551	C₂²×C₇	semidirect
660. #550	C₂²×C₇	semidirect
661. D₄×Q₈	C₂²×C₇	semidirect
662. #548	C₂²×C₇	semidirect
663. #548	C₂²×C₇	semidirect
664. #547	C₂²×C₇	semidirect
665. #547	C₂²×C₇	semidirect
666. #547	C₂²×C₇	semidirect
667. #546	C₂²×C₇	semidirect
668. #546	C₂²×C₇	semidirect
669. #546	C₂²×C₇	semidirect
670. #546	C₂²×C₇	semidirect
671. #546	C₂²×C₇	semidirect
672. #546	C₂²×C₇	semidirect
673. #546	C₂²×C₇	semidirect
674. D₄²	C₂²×C₇	semidirect
675. D₄²	C₂²×C₇	semidirect
676. D₄²	C₂²×C₇	semidirect
677. #544	C₂²×C₇	semidirect
678. #543	C₂²×C₇	semidirect
679. #542	C₂²×C₇	semidirect
680. #542	C₂²×C₇	semidirect
681. #542	C₂²×C₇	semidirect
682. #542	C₂²×C₇	semidirect
683. #541	C₂²×C₇	semidirect
684. #541	C₂²×C₇	semidirect
685. #540	C₂²×C₇	semidirect
686. #540	C₂²×C₇	semidirect
687. #540	C₂²×C₇	semidirect
688. #540	C₂²×C₇	semidirect
689. #539	C₂²×C₇	semidirect
690. #539	C₂²×C₇	semidirect
691. #539	C₂²×C₇	semidirect
692. #539	C₂²×C₇	semidirect
693. #539	C₂²×C₇	semidirect
694. #538	C₂²×C₇	semidirect
695. #538	C₂²×C₇	semidirect
696. #538	C₂²×C₇	semidirect
697. #538	C₂²×C₇	semidirect
698. #538	C₂²×C₇	semidirect
699. #538	C₂²×C₇	semidirect
700. #538	C₂²×C₇	semidirect
701. #537	C₂²×C₇	semidirect
702. #537	C₂²×C₇	semidirect
703. #537	C₂²×C₇	semidirect
704. #536	C₂²×C₇	semidirect
705. #536	C₂²×C₇	semidirect
706. #536	C₂²×C₇	semidirect
707. #535	C₂²×C₇	semidirect
708. #535	C₂²×C₇	semidirect
709. #535	C₂²×C₇	semidirect
710. #535	C₂²×C₇	semidirect
711. #534	C₂²×C₇	semidirect
712. #534	C₂²×C₇	semidirect
713. #534	C₂²×C₇	semidirect
714. #534	C₂²×C₇	semidirect
715. #533	C₂²×C₇	semidirect
716. #532	C₂²×C₇	semidirect
717. #532	C₂²×C₇	semidirect
718. #532	C₂²×C₇	semidirect
719. #532	C₂²×C₇	semidirect
720. #529	C₂²×C₇	semidirect
721. #529	C₂²×C₇	semidirect
722. #529	C₂²×C₇	semidirect
723. #529	C₂²×C₇	semidirect
724. #529	C₂²×C₇	semidirect
726. #525	C₂²×C₇	semidirect
727. #525	C₂²×C₇	semidirect
728. #525	C₂²×C₇	semidirect
729. #525	C₂²×C₇	semidirect
730. #525	C₂²×C₇	semidirect
731. #525	C₂²×C₇	semidirect
732. #525	C₂²×C₇	semidirect
733. #525	C₂²×C₇	semidirect
734. #525	C₂²×C₇	semidirect
735. #525	C₂²×C₇	semidirect
736. #525	C₂²×C₇	semidirect
737. #525	C₂²×C₇	semidirect
738. #525	C₂²×C₇	semidirect
739. #525	C₂²×C₇	semidirect
740. #525	C₂²×C₇	semidirect
741. #525	C₂²×C₇	semidirect
742. #525	C₂²×C₇	semidirect
743. #525	C₂²×C₇	semidirect
744. #525	C₂²×C₇	semidirect
745. #525	C₂²×C₇	semidirect
746. #525	C₂²×C₇	semidirect
747. C₂×#123	C₂²×C₇	semidirect
748. C₂×#123	C₂²×C₇	semidirect
749. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
750. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
751. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
752. C₂×#121	C₂²×C₇	semidirect
753. C₂×#121	C₂²×C₇	semidirect
754. C₂×#121	C₂²×C₇	semidirect
755. C₂×#120	C₂²×C₇	semidirect
756. C₂×#120	C₂²×C₇	semidirect
757. C₄×#41	C₂²×C₇	semidirect
758. C₄×#41	C₂²×C₇	semidirect
759. C₂×C₄×D₄	C₂²×C₇	semidirect
760. C₂×C₄×D₄	C₂²×C₇	semidirect
761. C₂×C₄×D₄	C₂²×C₇	semidirect
762. C₂×C₄×D₄	C₂²×C₇	semidirect
763. C₂×#117	C₂²×C₇	semidirect
764. C₂×#117	C₂²×C₇	semidirect
765. C₂×#117	C₂²×C₇	semidirect
888. C₂×#41	C₂³×C₇	semidirect
889. C₂×#41	C₂³×C₇	semidirect
892. C₂²×Q₈	C₂³×C₇	semidirect
902. C₂²×D₄	C₂³×C₇	semidirect
916. C₂³×C₄	C₂³×C₇	semidirect
917. C₄⋊Q₈	C₂³×C₇	semidirect
918. C₄⋊Q₈	C₂³×C₇	semidirect
919. C₄⋊Q₈	C₂³×C₇	semidirect
920. C₄⋊Q₈	C₂³×C₇	semidirect
921. C₄⋊Q₈	C₂³×C₇	semidirect
925. #127	C₂³×C₇	semidirect
930. #126	C₂³×C₇	semidirect
931. #126	C₂³×C₇	semidirect
932. #126	C₂³×C₇	semidirect
933. #126	C₂³×C₇	semidirect
934. #126	C₂³×C₇	semidirect
935. #126	C₂³×C₇	semidirect
936. #125	C₂³×C₇	semidirect
937. #125	C₂³×C₇	semidirect
938. #125	C₂³×C₇	semidirect
939. #125	C₂³×C₇	semidirect
940. #125	C₂³×C₇	semidirect
941. #125	C₂³×C₇	semidirect
942. #125	C₂³×C₇	semidirect
950. #124	C₂³×C₇	semidirect
951. #124	C₂³×C₇	semidirect
952. #124	C₂³×C₇	semidirect
953. #124	C₂³×C₇	semidirect
954. #124	C₂³×C₇	semidirect
975. #123	C₂³×C₇	semidirect
976. #123	C₂³×C₇	semidirect
977. #123	C₂³×C₇	semidirect
978. #123	C₂³×C₇	semidirect
979. #123	C₂³×C₇	semidirect
980. #123	C₂³×C₇	semidirect
981. #123	C₂³×C₇	semidirect
982. #123	C₂³×C₇	semidirect
983. #123	C₂³×C₇	semidirect
1001. C₂²⋊Q₈	C₂³×C₇	semidirect
1002. C₂²⋊Q₈	C₂³×C₇	semidirect
1003. C₂²⋊Q₈	C₂³×C₇	semidirect
1004. C₂²⋊Q₈	C₂³×C₇	semidirect
1005. C₂²⋊Q₈	C₂³×C₇	semidirect
1006. C₂²⋊Q₈	C₂³×C₇	semidirect
1007. C₂²⋊Q₈	C₂³×C₇	semidirect
1008. C₂²⋊Q₈	C₂³×C₇	semidirect
1009. C₂²⋊Q₈	C₂³×C₇	semidirect
1010. C₂²⋊Q₈	C₂³×C₇	semidirect
1011. C₂²⋊Q₈	C₂³×C₇	semidirect
1041. #121	C₂³×C₇	semidirect
1042. #121	C₂³×C₇	semidirect
1043. #121	C₂³×C₇	semidirect
1044. #121	C₂³×C₇	semidirect
1045. #121	C₂³×C₇	semidirect
1046. #121	C₂³×C₇	semidirect
1047. #121	C₂³×C₇	semidirect
1064. #120	C₂³×C₇	semidirect
1065. #120	C₂³×C₇	semidirect
1066. #120	C₂³×C₇	semidirect
1067. C₄×Q₈	C₂³×C₇	semidirect
1068. C₄×Q₈	C₂³×C₇	semidirect
1069. C₄×Q₈	C₂³×C₇	semidirect
1070. C₄×Q₈	C₂³×C₇	semidirect
1093. C₄×D₄	C₂³×C₇	semidirect
1094. C₄×D₄	C₂³×C₇	semidirect
1095. C₄×D₄	C₂³×C₇	semidirect
1096. C₄×D₄	C₂³×C₇	semidirect
1097. C₄×D₄	C₂³×C₇	semidirect
1098. C₄×D₄	C₂³×C₇	semidirect
1099. C₄×D₄	C₂³×C₇	semidirect
1100. C₄×D₄	C₂³×C₇	semidirect
1112. #117	C₂³×C₇	semidirect
1113. #117	C₂³×C₇	semidirect
1114. #117	C₂³×C₇	semidirect
1115. #117	C₂³×C₇	semidirect
1116. #117	C₂³×C₇	semidirect
1117. #117	C₂³×C₇	semidirect
1124. C₂×C₄⋊C₄	C₂³×C₇	semidirect
1125. C₂×C₄⋊C₄	C₂³×C₇	semidirect
1136. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
1139. C₂×C₄²	C₂³×C₇	semidirect
1140. C₂×C₄²	C₂³×C₇	semidirect
1477. C₇	#62729	direct (N × H)

Maximal subgroups

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

subgroup	index
C₇×#3542	2
C₇×#3541	2
C₇×#3540	2
C₇×#3539	2
C₇×#3538	2
C₇×#3537	2
C₇×#3536	2
C₇×#3535	2
C₇×#3534	2
C₇×#3533	2
C₇×#3532	2
C₇×#3529	2
C₇×#3481	2
C₇×#3475	2
C₇×D₄×#41	2
C₇×#3460	2
C₇×#3459	2
C₇×#3455	2
C₇×#3449	2
C₂×C₇×#525	2
#62729	7

Subgroups — C7×#62729 #13239945

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62729 #13239945