Subgroups — C₇×#62875 #13240091

Order 1792.

7138 conjugacy classes of subgroups.

The subgroup lattice has 1534 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3551	C₂	1	4	yes	maximal, complemented
2	C₇×#3548	C₂	1	4	yes	maximal, complemented
3	C₇×#3547	C₂	1	4	yes	maximal, complemented
4	C₇×#3546	C₂	1	4	yes	maximal, complemented
5	C₇×#3542	C₂	1	8	yes	maximal, complemented
6	C₇×#3542	C₂	1	4	yes	maximal, complemented
7	C₇×#3541	C₂	1	4	yes	maximal, complemented
8	C₇×#3539	C₂	1	4	yes	maximal, complemented
9	C₇×#3536	C₂	1	4	yes	maximal, complemented
10	C₇×#3535	C₂	1	4	yes	maximal, complemented
11	C₇×#3534	C₂	1	4	yes	maximal, complemented
12	C₇×#3495	C₂	1	2	yes	maximal, complemented
13	C₇×#3494	C₂	1	2	yes	maximal, complemented
14	C₇×#3492	C₂	1	2	yes	maximal, complemented
15	C₇×#3489	C₂	1	2	yes	maximal, complemented
16	C₇×#3488	C₂	1	2	yes	maximal, complemented
17	C₇×#3487	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3485	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3449	C₂	1	2	yes	maximal, complemented
20	C₂×C₇×#537	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₇×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
22	C₂×C₇×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
23	C₂²×C₇×#41	C₂²	1	1	yes	characteristic, complemented
24	C₂²×C₇×#41	C₂²	1	1	yes	characteristic, complemented
25	C₂²×C₇×#41	C₂²	1	2	yes	complemented
26	C₇×#563	C₂²	1	8	yes	complemented
27	C₇×#562	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×#560	C₂²	1	8	yes	complemented
32	C₇×#560	C₂²	1	8	yes	complemented
33	C₇×#560	C₂²	1	8	yes	complemented
34	C₇×#556	C₂²	1	4	yes	complemented
35	C₇×#555	C₂²	1	4	yes	complemented
36	C₇×#555	C₂²	1	8	yes	complemented
37	C₇×#554	C₂²	1	4	yes	complemented
38	C₇×#554	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	4	yes	complemented
43	C₇×#553	C₂²	1	4	yes	complemented
44	C₇×#553	C₂²	1	4	yes	complemented
45	C₇×#553	C₂²	1	8	yes	complemented
46	C₇×#553	C₂²	1	8	yes	complemented
47	C₇×#552	C₂²	1	4	yes	complemented
48	C₇×#552	C₂²	1	4	yes	complemented
49	C₇×#552	C₂²	1	8	yes	complemented
50	C₇×#552	C₂²	1	4	yes	complemented
51	C₇×#552	C₂²	1	4	yes	complemented
52	C₇×#551	C₂²	1	8	yes	complemented
53	C₇×#551	C₂²	1	8	yes	complemented
54	C₇×#551	C₂²	1	8	yes	complemented
55	C₇×#550	C₂²	1	4	yes	complemented
56	C₇×#550	C₂²	1	4	yes	complemented
57	C₇×#550	C₂²	1	4	yes	complemented
58	C₇×#550	C₂²	1	8	yes	complemented
59	C₇×D₄×Q₈	C₂²	1	4	yes	complemented
60	C₇×#548	C₂²	1	4	yes	complemented
61	C₇×#548	C₂²	1	4	yes	complemented
62	C₇×#548	C₂²	1	4	yes	complemented
63	C₇×#548	C₂²	1	4	yes	complemented
64	C₇×#547	C₂²	1	4	yes	complemented
65	C₇×#547	C₂²	1	4	yes	complemented
66	C₇×#547	C₂²	1	8	yes	complemented
67	C₇×#547	C₂²	1	4	yes	complemented
68	C₇×#547	C₂²	1	4	yes	complemented
69	C₇×#547	C₂²	1	4	yes	complemented
70	C₇×#547	C₂²	1	4	yes	complemented
71	C₇×#546	C₂²	1	4	yes	complemented
72	C₇×#546	C₂²	1	4	yes	complemented
73	C₇×#546	C₂²	1	8	yes	complemented
74	C₇×#546	C₂²	1	4	yes	complemented
75	C₇×#546	C₂²	1	8	yes	complemented
76	C₇×#546	C₂²	1	4	yes	complemented
77	C₇×#546	C₂²	1	8	yes	complemented
78	C₇×#546	C₂²	1	8	yes	complemented
79	C₇×#546	C₂²	1	8	yes	complemented
80	C₇×D₄²	C₂²	1	8	yes	complemented
81	C₇×D₄²	C₂²	1	4	yes	complemented
82	C₇×#544	C₂²	1	2	yes	complemented
83	C₇×#544	C₂²	1	4	yes	complemented
84	C₇×#543	C₂²	1	4	yes	complemented
85	C₇×#542	C₂²	1	4	yes	complemented
86	C₇×#542	C₂²	1	4	yes	complemented
87	C₇×#542	C₂²	1	8	yes	complemented
88	C₇×#542	C₂²	1	8	yes	complemented
89	C₇×#541	C₂²	1	4	yes	complemented
90	C₇×#540	C₂²	1	4	yes	complemented
91	C₇×#540	C₂²	1	8	yes	complemented
92	C₇×#540	C₂²	1	8	yes	complemented
93	C₇×#540	C₂²	1	8	yes	complemented
94	C₇×#540	C₂²	1	8	yes	complemented
95	C₇×#539	C₂²	1	8	yes	complemented
96	C₇×#539	C₂²	1	4	yes	complemented
97	C₇×#539	C₂²	1	8	yes	complemented
98	C₇×#539	C₂²	1	4	yes	complemented
99	C₇×#538	C₂²	1	8	yes	complemented
100	C₇×#538	C₂²	1	4	yes	complemented
101	C₇×#538	C₂²	1	4	yes	complemented
102	C₇×#538	C₂²	1	8	yes	complemented
103	C₇×#538	C₂²	1	8	yes	complemented
104	C₇×#537	C₂²	1	2	yes	—
105	C₇×#537	C₂²	1	4	yes	complemented
106	C₇×#537	C₂²	1	4	yes	complemented
107	C₇×#537	C₂²	1	4	yes	complemented
108	C₇×#537	C₂²	1	4	yes	complemented
109	C₇×#537	C₂²	1	2	yes	complemented
110	C₇×#537	C₂²	1	2	yes	complemented
111	C₇×#537	C₂²	1	2	yes	complemented
112	C₇×#537	C₂²	1	2	yes	complemented
113	C₇×#537	C₂²	1	4	yes	complemented
114	C₇×#537	C₂²	1	4	yes	complemented
115	C₇×#537	C₂²	1	4	yes	complemented
116	C₇×#537	C₂²	1	8	yes	complemented
117	C₇×#536	C₂²	1	4	yes	complemented
118	C₇×#536	C₂²	1	2	yes	complemented
119	C₇×#536	C₂²	1	2	yes	complemented
120	C₇×#536	C₂²	1	2	yes	complemented
121	C₇×#536	C₂²	1	4	yes	complemented
122	C₇×#535	C₂²	1	4	yes	complemented
123	C₇×#535	C₂²	1	2	yes	complemented
124	C₇×#535	C₂²	1	2	yes	complemented
125	C₇×#535	C₂²	1	2	yes	complemented
126	C₇×#535	C₂²	1	4	yes	complemented
127	C₇×#535	C₂²	1	4	yes	complemented
128	C₇×#535	C₂²	1	8	yes	complemented
129	C₇×#534	C₂²	1	4	yes	complemented
130	C₇×#534	C₂²	1	4	yes	complemented
131	C₇×#534	C₂²	1	4	yes	complemented
132	C₇×#534	C₂²	1	4	yes	complemented
133	C₇×#533	C₂²	1	4	yes	complemented
134	C₇×#532	C₂²	1	4	yes	complemented
135	C₇×#532	C₂²	1	4	yes	complemented
136	C₇×#532	C₂²	1	4	yes	complemented
137	C₇×#529	C₂²	1	4	yes	complemented
138	C₇×#529	C₂²	1	4	yes	complemented
139	C₇×#525	C₂²	1	2	yes	—
140	C₇×#525	C₂²	1	2	yes	complemented
141	C₇×#525	C₂²	1	2	yes	complemented
142	C₇×#525	C₂²	1	2	yes	complemented
143	C₇×#525	C₂²	1	4	yes	complemented
144	C₇×#525	C₂²	1	4	yes	complemented
145	C₇×#525	C₂²	1	4	yes	complemented
146	C₇×#525	C₂²	1	4	yes	complemented
147	C₇×#525	C₂²	1	4	yes	complemented
148	C₇×#525	C₂²	1	8	yes	complemented
149	C₂×C₇×#123	C₂²	1	4	yes	complemented
150	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
151	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
152	C₂×C₇×C₂²⋊Q₈	C₂²	1	4	yes	complemented
153	C₂×C₇×#121	C₂²	1	2	yes	complemented
154	C₂×C₇×#121	C₂²	1	2	yes	complemented
155	C₂×C₇×#121	C₂²	1	4	yes	complemented
156	C₂×C₇×#121	C₂²	1	4	yes	complemented
157	C₇×#520	C₂²	1	2	yes	complemented
158	C₇×#520	C₂²	1	2	yes	complemented
159	C₇×#519	C₂²	1	1	yes	characteristic, complemented
160	C₇×#518	C₂²	1	1	yes	characteristic, complemented
161	C₂×C₇×#117	C₂²	1	2	yes	complemented
162	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
163	#62875	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
164	C₇×2₋¹⁺⁴	—	4	4	no	—
165	C₇×H(5,𝔽₂)	—	4	4	no	—
166	C₂×C₇×#41	—	4	4	no	—
167	C₂×C₇×#41	—	4	4	no	—
168	C₂×C₇×#41	—	4	8	no	—
169	C₂×C₇×#41	C₂³	1	2	yes	—
170	C₂×C₇×#41	C₂³	1	2	yes	—
171	C₂×C₇×#41	C₂³	1	2	yes	—
172	C₂×C₇×#41	C₂³	1	2	yes	—
173	C₂×C₇×#41	C₂³	1	2	yes	—
174	C₂×C₇×#41	C₂³	1	4	yes	—
175	C₂×C₇×#41	C₂³	1	2	yes	—
176	C₂×C₇×#41	C₂³	1	4	yes	—
177	C₂×C₇×#41	C₂³	1	2	yes	—
178	C₂×C₇×#41	C₂³	1	4	yes	—
179	C₂×C₇×#41	C₂³	1	4	yes	—
180	C₂×C₇×#41	C₂³	1	2	yes	—
181	C₂×C₇×#41	C₂³	1	4	yes	—
182	C₂×C₇×#41	C₂³	1	4	yes	—
183	C₂×C₇×#41	C₂³	1	4	yes	—
184	C₂×C₇×#41	C₂³	1	8	yes	—
185	C₂×C₇×#41	C₂³	1	8	yes	—
186	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
187	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
188	C₂²×C₇×Q₈	C₂³	1	2	yes	—
189	C₂²×C₇×Q₈	C₂³	1	4	yes	—
190	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
191	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
192	C₂²×C₇×D₄	C₂³	1	2	yes	—
193	C₂²×C₇×D₄	C₂³	1	2	yes	—
194	C₂²×C₇×D₄	C₂³	1	4	yes	—
195	C₂²×C₇×D₄	C₂³	1	2	yes	—
196	C₂²×C₇×D₄	C₂³	1	4	yes	—
197	C₂²×C₇×D₄	C₂³	1	4	yes	—
198	C₂²×C₇×D₄	C₂³	1	4	yes	—
199	C₂²×C₇×D₄	C₂³	1	8	yes	—
200	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₇	C₂³	1	2	yes	—
202	C₂³×C₄×C₇	C₂³	1	2	yes	—
203	C₂³×C₄×C₇	C₂³	1	4	yes	—
204	C₂³×C₄×C₇	C₂³	1	2	yes	—
205	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
206	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
207	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
208	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
209	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
210	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
211	C₇×#127	C₂³	1	4	yes	—
212	C₇×#127	C₂³	1	4	yes	—
213	C₇×#127	C₂³	1	4	yes	—
214	C₇×#127	C₂³	1	8	yes	—
215	C₇×#127	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	—
219	C₇×#126	C₂³	1	8	yes	—
220	C₇×#126	C₂³	1	8	yes	—
221	C₇×#126	C₂³	1	8	yes	—
222	C₇×#126	C₂³	1	8	yes	—
223	C₇×#126	C₂³	1	8	yes	—
224	C₇×#125	C₂³	1	4	yes	—
225	C₇×#125	C₂³	1	4	yes	—
226	C₇×#125	C₂³	1	8	yes	—
227	C₇×#125	C₂³	1	8	yes	—
228	C₇×#125	C₂³	1	8	yes	—
229	C₇×#125	C₂³	1	8	yes	—
230	C₇×#125	C₂³	1	8	yes	—
231	C₇×#124	C₂³	1	4	yes	—
232	C₇×#124	C₂³	1	4	yes	—
233	C₇×#124	C₂³	1	4	yes	—
234	C₇×#124	C₂³	1	4	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	—
239	C₇×#124	C₂³	1	8	yes	—
240	C₇×#124	C₂³	1	8	yes	—
241	C₇×#124	C₂³	1	8	yes	—
242	C₇×#124	C₂³	1	8	yes	—
243	C₇×#123	C₂³	1	4	yes	—
244	C₇×#123	C₂³	1	8	yes	—
245	C₇×#123	C₂³	1	8	yes	—
246	C₇×#123	C₂³	1	8	yes	—
247	C₇×#123	C₂³	1	4	yes	—
248	C₇×#123	C₂³	1	4	yes	—
249	C₇×#123	C₂³	1	4	yes	—
250	C₇×#123	C₂³	1	4	yes	—
251	C₇×#123	C₂³	1	4	yes	—
252	C₇×#123	C₂³	1	4	yes	—
253	C₇×#123	C₂³	1	4	yes	—
254	C₇×#123	C₂³	1	8	yes	—
255	C₇×#123	C₂³	1	8	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	8	yes	—
264	C₇×#123	C₂³	1	8	yes	—
265	C₇×#123	C₂³	1	8	yes	—
266	C₇×#123	C₂³	1	8	yes	—
267	C₇×#123	C₂³	1	8	yes	—
268	C₇×#123	C₂³	1	8	yes	—
269	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
270	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
271	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
272	C₇×C₂²⋊Q₈	C₂³	1	4	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	4	yes	—
277	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
278	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
279	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
280	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
281	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
282	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
283	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
284	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
285	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
286	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
287	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
288	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
289	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
290	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
291	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
292	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
293	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
294	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
295	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
296	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
297	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
298	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
299	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
300	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
301	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
302	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
303	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
304	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
305	C₇×#121	C₂³	1	2	yes	—
306	C₇×#121	C₂³	1	4	yes	—
307	C₇×#121	C₂³	1	4	yes	—
308	C₇×#121	C₂³	1	4	yes	—
309	C₇×#121	C₂³	1	4	yes	—
310	C₇×#121	C₂³	1	8	yes	—
311	C₇×#121	C₂³	1	4	yes	—
312	C₇×#121	C₂³	1	8	yes	—
313	C₇×#121	C₂³	1	4	yes	—
314	C₇×#121	C₂³	1	4	yes	—
315	C₇×#121	C₂³	1	4	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	2	yes	—
322	C₇×#121	C₂³	1	2	yes	—
323	C₇×#121	C₂³	1	2	yes	—
324	C₇×#121	C₂³	1	4	yes	—
325	C₇×#121	C₂³	1	4	yes	—
326	C₇×#121	C₂³	1	4	yes	—
327	C₇×#121	C₂³	1	4	yes	—
328	C₇×#121	C₂³	1	2	yes	—
329	C₇×#121	C₂³	1	2	yes	—
330	C₇×#121	C₂³	1	4	yes	—
331	C₇×#121	C₂³	1	2	yes	—
332	C₇×#121	C₂³	1	2	yes	—
333	C₇×#121	C₂³	1	4	yes	—
334	C₇×#121	C₂³	1	8	yes	—
335	C₇×#121	C₂³	1	4	yes	—
336	C₇×#121	C₂³	1	8	yes	—
337	C₇×#121	C₂³	1	4	yes	—
338	C₇×#121	C₂³	1	4	yes	—
339	C₇×#121	C₂³	1	4	yes	—
340	C₇×#121	C₂³	1	4	yes	—
341	C₇×#121	C₂³	1	4	yes	—
342	C₇×#121	C₂³	1	4	yes	—
343	C₇×#121	C₂³	1	4	yes	—
344	C₇×#121	C₂³	1	4	yes	—
345	C₇×#121	C₂³	1	4	yes	—
346	C₇×#121	C₂³	1	8	yes	—
347	C₇×#121	C₂³	1	8	yes	—
348	C₇×#121	C₂³	1	8	yes	—
349	C₇×#121	C₂³	1	8	yes	—
350	C₇×#121	C₂³	1	8	yes	—
351	C₇×#121	C₂³	1	8	yes	—
352	C₇×#121	C₂³	1	8	yes	—
353	C₇×#121	C₂³	1	8	yes	—
354	C₇×#121	C₂³	1	8	yes	—
355	C₇×#121	C₂³	1	8	yes	—
356	C₇×#121	C₂³	1	8	yes	—
357	C₇×#121	C₂³	1	8	yes	—
358	C₇×#121	C₂³	1	8	yes	—
359	C₇×#120	C₂³	1	4	yes	—
360	C₇×#120	C₂³	1	4	yes	—
361	C₇×#120	C₂³	1	4	yes	—
362	C₇×#120	C₂³	1	4	yes	—
363	C₇×#120	C₂³	1	4	yes	—
364	C₇×#120	C₂³	1	4	yes	—
365	C₇×#120	C₂³	1	4	yes	—
366	C₇×#120	C₂³	1	8	yes	—
367	C₇×#120	C₂³	1	4	yes	—
368	C₇×#120	C₂³	1	8	yes	—
369	C₇×#120	C₂³	1	8	yes	—
370	C₇×#120	C₂³	1	8	yes	—
371	C₇×#120	C₂³	1	8	yes	—
372	C₇×#120	C₂³	1	8	yes	—
373	C₄×C₇×Q₈	C₂³	1	4	yes	—
374	C₄×C₇×Q₈	C₂³	1	4	yes	—
375	C₄×C₇×Q₈	C₂³	1	4	yes	—
376	C₄×C₇×Q₈	C₂³	1	4	yes	—
377	C₄×C₇×Q₈	C₂³	1	8	yes	—
378	C₄×C₇×D₄	C₂³	1	4	yes	—
379	C₄×C₇×D₄	C₂³	1	4	yes	—
380	C₄×C₇×D₄	C₂³	1	8	yes	—
381	C₄×C₇×D₄	C₂³	1	8	yes	—
382	C₄×C₇×D₄	C₂³	1	4	yes	—
383	C₄×C₇×D₄	C₂³	1	4	yes	—
384	C₄×C₇×D₄	C₂³	1	4	yes	—
385	C₄×C₇×D₄	C₂³	1	4	yes	—
386	C₄×C₇×D₄	C₂³	1	4	yes	—
387	C₄×C₇×D₄	C₂³	1	4	yes	—
388	C₄×C₇×D₄	C₂³	1	4	yes	—
389	C₄×C₇×D₄	C₂³	1	4	yes	—
390	C₄×C₇×D₄	C₂³	1	4	yes	—
391	C₄×C₇×D₄	C₂³	1	4	yes	—
392	C₄×C₇×D₄	C₂³	1	8	yes	—
393	C₄×C₇×D₄	C₂³	1	8	yes	—
394	C₄×C₇×D₄	C₂³	1	8	yes	—
395	C₄×C₇×D₄	C₂³	1	8	yes	—
396	C₄×C₇×D₄	C₂³	1	8	yes	—
397	C₄×C₇×D₄	C₂³	1	8	yes	—
398	C₄×C₇×D₄	C₂³	1	8	yes	—
399	C₄×C₇×D₄	C₂³	1	8	yes	—
400	C₄×C₇×D₄	C₂³	1	8	yes	—
401	C₄×C₇×D₄	C₂³	1	8	yes	—
402	C₄×C₇×D₄	C₂³	1	8	yes	—
403	C₇×#117	C₂³	1	2	yes	—
404	C₇×#117	C₂³	1	2	yes	—
405	C₇×#117	C₂³	1	4	yes	—
406	C₇×#117	C₂³	1	4	yes	—
407	C₇×#117	C₂³	1	2	yes	—
408	C₇×#117	C₂³	1	2	yes	—
409	C₇×#117	C₂³	1	4	yes	—
410	C₇×#117	C₂³	1	4	yes	—
411	C₇×#117	C₂³	1	4	yes	—
412	C₇×#117	C₂³	1	8	yes	—
413	C₇×#117	C₂³	1	8	yes	—
414	C₇×#117	C₂³	1	8	yes	—
415	C₇×#117	C₂³	1	8	yes	—
416	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
417	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
418	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
419	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
420	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
421	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
422	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
423	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
424	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
425	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
426	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
427	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
428	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
429	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
430	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
431	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
432	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
433	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
434	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
435	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
436	C₂×C₄²×C₇	C₂³	1	4	yes	—
437	#3551	C₂×C₇	1	4	yes	complemented
438	#3548	C₂×C₇	1	4	yes	complemented
439	#3547	C₂×C₇	1	4	yes	complemented
440	#3546	C₂×C₇	1	4	yes	complemented
441	#3542	C₂×C₇	1	8	yes	complemented
442	#3542	C₂×C₇	1	4	yes	complemented
443	#3541	C₂×C₇	1	4	yes	complemented
444	#3539	C₂×C₇	1	4	yes	complemented
445	#3536	C₂×C₇	1	4	yes	complemented
446	#3535	C₂×C₇	1	4	yes	complemented
447	#3534	C₂×C₇	1	4	yes	complemented
448	#3495	C₂×C₇	1	2	yes	complemented
449	#3494	C₂×C₇	1	2	yes	complemented
450	#3492	C₂×C₇	1	2	yes	complemented
451	#3489	C₂×C₇	1	2	yes	complemented
452	#3488	C₂×C₇	1	2	yes	complemented
453	#3487	C₂×C₇	1	1	yes	characteristic, complemented
454	#3485	C₂×C₇	1	1	yes	characteristic, complemented
455	#3449	C₂×C₇	1	2	yes	complemented
456	C₂×#537	C₂×C₇	1	1	yes	characteristic, complemented
457	C₂⁴×C₇	C₂⁴	1	2	yes	—
458	C₂⁴×C₇	C₂⁴	1	2	yes	—
459	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
460	C₂⁴×C₇	C₂⁴	1	4	yes	—
461	C₂⁴×C₇	C₂⁴	1	4	yes	—
462	C₇×#41	—	2	8	no	—
463	C₇×#41	—	2	8	no	—
464	C₇×#41	—	4	4	no	—
465	C₇×#41	—	4	4	no	—
466	C₇×#41	—	4	4	no	—
467	C₇×#41	—	4	4	no	—
468	C₇×#41	—	4	8	no	—
469	C₇×#41	—	4	8	no	—
470	C₇×#41	—	4	8	no	—
471	C₇×#41	—	4	8	no	—
472	C₇×#41	—	4	8	no	—
473	C₇×#41	—	4	4	no	—
474	C₇×#41	—	4	4	no	—
475	C₇×#41	—	4	8	no	—
476	C₇×#41	—	4	8	no	—
477	C₇×#41	—	8	8	no	—
478	C₇×#41	—	8	8	no	—
479	C₂×C₇×Q₈	—	2	4	no	—
480	C₂×C₇×Q₈	—	4	2	no	—
481	C₂×C₇×Q₈	—	4	4	no	—
482	C₂×C₇×Q₈	—	4	8	no	—
483	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
484	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
485	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
486	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
487	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
488	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
489	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
490	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
491	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
492	C₂×C₇×D₄	—	2	4	no	—
493	C₂×C₇×D₄	—	4	4	no	—
494	C₂×C₇×D₄	—	4	8	no	—
495	C₂×C₇×D₄	—	4	2	no	—
496	C₂×C₇×D₄	—	4	4	no	—
497	C₂×C₇×D₄	—	4	4	no	—
498	C₂×C₇×D₄	—	4	8	no	—
499	C₂×C₇×D₄	—	4	8	no	—
500	C₂×C₇×D₄	—	8	4	no	—
501	C₂×C₇×D₄	—	8	8	no	—
502	C₂×C₇×D₄	C₂⁴	1	4	yes	—
503	C₂×C₇×D₄	C₂⁴	1	4	yes	—
504	C₂×C₇×D₄	C₂⁴	1	2	yes	—
505	C₂×C₇×D₄	C₂⁴	1	4	yes	—
506	C₂×C₇×D₄	C₂⁴	1	2	yes	—
507	C₂×C₇×D₄	C₂⁴	1	4	yes	—
508	C₂×C₇×D₄	C₂⁴	1	4	yes	—
509	C₂×C₇×D₄	C₂⁴	1	4	yes	—
510	C₂×C₇×D₄	C₂⁴	1	8	yes	—
511	C₂×C₇×D₄	C₂⁴	1	4	yes	—
512	C₂×C₇×D₄	C₂⁴	1	4	yes	—
513	C₂×C₇×D₄	C₂⁴	1	4	yes	—
514	C₂×C₇×D₄	C₂⁴	1	8	yes	—
515	C₂×C₇×D₄	C₂⁴	1	4	yes	—
516	C₂×C₇×D₄	C₂⁴	1	4	yes	—
517	C₂×C₇×D₄	C₂⁴	1	8	yes	—
518	C₂×C₇×D₄	C₂⁴	1	8	yes	—
519	C₂×C₇×D₄	C₂⁴	1	8	yes	—
520	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
521	C₂×C₇×D₄	C₂⁴	1	2	yes	—
522	C₂×C₇×D₄	C₂⁴	1	2	yes	—
523	C₂×C₇×D₄	C₂⁴	1	4	yes	—
524	C₂×C₇×D₄	C₂⁴	1	4	yes	—
525	C₂×C₇×D₄	C₂⁴	1	2	yes	—
526	C₂×C₇×D₄	C₂⁴	1	4	yes	—
527	C₂×C₇×D₄	C₂⁴	1	8	yes	—
528	C₂×C₇×D₄	C₂⁴	1	8	yes	—
529	C₂×C₇×D₄	C₂⁴	1	2	yes	—
530	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
531	C₂×C₇×D₄	C₂⁴	1	4	yes	—
532	C₂×C₇×D₄	C₂⁴	1	2	yes	—
533	C₂²×C₄×C₇	—	2	4	no	—
534	C₂²×C₄×C₇	—	2	8	no	—
535	C₂²×C₄×C₇	—	4	8	no	—
536	C₂²×C₄×C₇	—	4	4	no	—
537	C₂²×C₄×C₇	—	8	2	no	—
538	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
539	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
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	2	yes	—
544	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
546	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
547	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
548	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
549	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
550	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
551	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
552	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
553	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
554	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
555	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
556	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
557	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
558	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
559	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
560	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
561	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
562	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
563	C₂²×C₄×C₇	C₂⁴	1	4	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	2	yes	—
568	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
569	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
570	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
571	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
572	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
573	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
574	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
575	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
576	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
577	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
578	C₇×C₄⋊C₄	C₂⁴	1	4	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	4	yes	—
587	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
588	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
589	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
590	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
591	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
592	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
593	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
594	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
595	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
596	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
597	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
598	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
599	C₇×C₂²⋊C₄	C₂⁴	1	8	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	4	yes	—
605	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
606	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
607	C₇×C₂²⋊C₄	C₂⁴	1	8	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	8	yes	—
612	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
613	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
614	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
615	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
616	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
617	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
618	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
619	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
620	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
621	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
622	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
623	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
624	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
625	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
626	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
627	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
628	C₄²×C₇	C₂⁴	1	4	yes	—
629	C₄²×C₇	C₂⁴	1	4	yes	—
630	C₄²×C₇	C₂⁴	1	4	yes	—
631	C₄²×C₇	C₂⁴	1	4	yes	—
632	C₄²×C₇	C₂⁴	1	8	yes	—
633	C₄²×C₇	C₂⁴	1	8	yes	—
634	C₄²×C₇	C₂⁴	1	8	yes	—
635	C₂×2₋¹⁺⁴	C₂²×C₇	1	1	yes	characteristic, complemented
636	C₂×H(5,𝔽₂)	C₂²×C₇	1	1	yes	characteristic
637	C₂²×#41	C₂²×C₇	1	1	yes	characteristic, complemented
638	C₂²×#41	C₂²×C₇	1	1	yes	characteristic, complemented
639	C₂²×#41	C₂²×C₇	1	2	yes	complemented
640	#563	C₂²×C₇	1	8	yes	complemented
641	#562	C₂²×C₇	1	8	yes	complemented
642	#562	C₂²×C₇	1	8	yes	complemented
643	#562	C₂²×C₇	1	8	yes	complemented
644	#562	C₂²×C₇	1	8	yes	complemented
645	#560	C₂²×C₇	1	8	yes	complemented
646	#560	C₂²×C₇	1	8	yes	complemented
647	#560	C₂²×C₇	1	8	yes	complemented
648	#556	C₂²×C₇	1	4	yes	complemented
649	#555	C₂²×C₇	1	4	yes	complemented
650	#555	C₂²×C₇	1	8	yes	complemented
651	#554	C₂²×C₇	1	4	yes	complemented
652	#554	C₂²×C₇	1	4	yes	complemented
653	#554	C₂²×C₇	1	4	yes	complemented
654	#554	C₂²×C₇	1	8	yes	complemented
655	#553	C₂²×C₇	1	4	yes	complemented
656	#553	C₂²×C₇	1	4	yes	complemented
657	#553	C₂²×C₇	1	4	yes	complemented
658	#553	C₂²×C₇	1	4	yes	complemented
659	#553	C₂²×C₇	1	8	yes	complemented
660	#553	C₂²×C₇	1	8	yes	complemented
661	#552	C₂²×C₇	1	4	yes	complemented
662	#552	C₂²×C₇	1	4	yes	complemented
663	#552	C₂²×C₇	1	8	yes	complemented
664	#552	C₂²×C₇	1	4	yes	complemented
665	#552	C₂²×C₇	1	4	yes	complemented
666	#551	C₂²×C₇	1	8	yes	complemented
667	#551	C₂²×C₇	1	8	yes	complemented
668	#551	C₂²×C₇	1	8	yes	complemented
669	#550	C₂²×C₇	1	4	yes	complemented
670	#550	C₂²×C₇	1	4	yes	complemented
671	#550	C₂²×C₇	1	4	yes	complemented
672	#550	C₂²×C₇	1	8	yes	complemented
673	D₄×Q₈	C₂²×C₇	1	4	yes	complemented
674	#548	C₂²×C₇	1	4	yes	complemented
675	#548	C₂²×C₇	1	4	yes	complemented
676	#548	C₂²×C₇	1	4	yes	complemented
677	#548	C₂²×C₇	1	4	yes	complemented
678	#547	C₂²×C₇	1	4	yes	complemented
679	#547	C₂²×C₇	1	4	yes	complemented
680	#547	C₂²×C₇	1	8	yes	complemented
681	#547	C₂²×C₇	1	4	yes	complemented
682	#547	C₂²×C₇	1	4	yes	complemented
683	#547	C₂²×C₇	1	4	yes	complemented
684	#547	C₂²×C₇	1	4	yes	complemented
685	#546	C₂²×C₇	1	4	yes	complemented
686	#546	C₂²×C₇	1	4	yes	complemented
687	#546	C₂²×C₇	1	8	yes	complemented
688	#546	C₂²×C₇	1	4	yes	complemented
689	#546	C₂²×C₇	1	8	yes	complemented
690	#546	C₂²×C₇	1	4	yes	complemented
691	#546	C₂²×C₇	1	8	yes	complemented
692	#546	C₂²×C₇	1	8	yes	complemented
693	#546	C₂²×C₇	1	8	yes	complemented
694	D₄²	C₂²×C₇	1	8	yes	complemented
695	D₄²	C₂²×C₇	1	4	yes	complemented
696	#544	C₂²×C₇	1	2	yes	complemented
697	#544	C₂²×C₇	1	4	yes	complemented
698	#543	C₂²×C₇	1	4	yes	complemented
699	#542	C₂²×C₇	1	4	yes	complemented
700	#542	C₂²×C₇	1	4	yes	complemented
701	#542	C₂²×C₇	1	8	yes	complemented
702	#542	C₂²×C₇	1	8	yes	complemented
703	#541	C₂²×C₇	1	4	yes	complemented
704	#540	C₂²×C₇	1	4	yes	complemented
705	#540	C₂²×C₇	1	8	yes	complemented
706	#540	C₂²×C₇	1	8	yes	complemented
707	#540	C₂²×C₇	1	8	yes	complemented
708	#540	C₂²×C₇	1	8	yes	complemented
709	#539	C₂²×C₇	1	8	yes	complemented
710	#539	C₂²×C₇	1	4	yes	complemented
711	#539	C₂²×C₇	1	8	yes	complemented
712	#539	C₂²×C₇	1	4	yes	complemented
713	#538	C₂²×C₇	1	8	yes	complemented
714	#538	C₂²×C₇	1	4	yes	complemented
715	#538	C₂²×C₇	1	4	yes	complemented
716	#538	C₂²×C₇	1	8	yes	complemented
717	#538	C₂²×C₇	1	8	yes	complemented
718	#537	C₂²×C₇	1	2	yes	—
719	#537	C₂²×C₇	1	4	yes	complemented
720	#537	C₂²×C₇	1	4	yes	complemented
721	#537	C₂²×C₇	1	4	yes	complemented
722	#537	C₂²×C₇	1	4	yes	complemented
723	#537	C₂²×C₇	1	2	yes	complemented
724	#537	C₂²×C₇	1	2	yes	complemented
725	#537	C₂²×C₇	1	2	yes	complemented
726	#537	C₂²×C₇	1	2	yes	complemented
727	#537	C₂²×C₇	1	4	yes	complemented
728	#537	C₂²×C₇	1	4	yes	complemented
729	#537	C₂²×C₇	1	4	yes	complemented
730	#537	C₂²×C₇	1	8	yes	complemented
731	#536	C₂²×C₇	1	4	yes	complemented
732	#536	C₂²×C₇	1	2	yes	complemented
733	#536	C₂²×C₇	1	2	yes	complemented
734	#536	C₂²×C₇	1	2	yes	complemented
735	#536	C₂²×C₇	1	4	yes	complemented
736	#535	C₂²×C₇	1	4	yes	complemented
737	#535	C₂²×C₇	1	2	yes	complemented
738	#535	C₂²×C₇	1	2	yes	complemented
739	#535	C₂²×C₇	1	2	yes	complemented
740	#535	C₂²×C₇	1	4	yes	complemented
741	#535	C₂²×C₇	1	4	yes	complemented
742	#535	C₂²×C₇	1	8	yes	complemented
743	#534	C₂²×C₇	1	4	yes	complemented
744	#534	C₂²×C₇	1	4	yes	complemented
745	#534	C₂²×C₇	1	4	yes	complemented
746	#534	C₂²×C₇	1	4	yes	complemented
747	#533	C₂²×C₇	1	4	yes	complemented
748	#532	C₂²×C₇	1	4	yes	complemented
749	#532	C₂²×C₇	1	4	yes	complemented
750	#532	C₂²×C₇	1	4	yes	complemented
751	#529	C₂²×C₇	1	4	yes	complemented
752	#529	C₂²×C₇	1	4	yes	complemented
753	#525	C₂²×C₇	1	2	yes	—
754	#525	C₂²×C₇	1	2	yes	complemented
755	#525	C₂²×C₇	1	2	yes	complemented
756	#525	C₂²×C₇	1	2	yes	complemented
757	#525	C₂²×C₇	1	4	yes	complemented
758	#525	C₂²×C₇	1	4	yes	complemented
759	#525	C₂²×C₇	1	4	yes	complemented
760	#525	C₂²×C₇	1	4	yes	complemented
761	#525	C₂²×C₇	1	4	yes	complemented
762	#525	C₂²×C₇	1	8	yes	complemented
763	C₂×#123	C₂²×C₇	1	4	yes	complemented
764	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
765	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
766	C₂×C₂²⋊Q₈	C₂²×C₇	1	4	yes	complemented
767	C₂×#121	C₂²×C₇	1	2	yes	complemented
768	C₂×#121	C₂²×C₇	1	2	yes	complemented
769	C₂×#121	C₂²×C₇	1	4	yes	complemented
770	C₂×#121	C₂²×C₇	1	4	yes	complemented
771	#520	C₂²×C₇	1	2	yes	complemented
772	#520	C₂²×C₇	1	2	yes	complemented
773	#519	C₂²×C₇	1	1	yes	characteristic, complemented
774	#518	C₂²×C₇	1	1	yes	characteristic, complemented
775	C₂×#117	C₂²×C₇	1	2	yes	complemented
776	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
777	C₂³×C₇	—	2	2	no	—
778	C₂³×C₇	—	2	4	no	—
779	C₂³×C₇	—	2	4	no	—
780	C₂³×C₇	—	4	1	no	—
781	C₂³×C₇	—	4	1	no	—
782	C₂³×C₇	—	4	4	no	—
783	C₂³×C₇	—	4	2	no	—
784	C₂³×C₇	—	4	2	no	—
785	C₂³×C₇	—	4	4	no	—
786	C₂³×C₇	—	4	2	no	—
787	C₂³×C₇	—	4	2	no	—
788	C₂³×C₇	—	4	4	no	—
789	C₂³×C₇	—	4	4	no	—
790	C₂³×C₇	—	4	4	no	—
791	C₂³×C₇	—	4	4	no	—
792	C₂³×C₇	C₂⁵	1	2	yes	—
793	C₂³×C₇	C₂⁵	1	4	yes	—
794	C₂³×C₇	C₂⁵	1	4	yes	—
795	C₂³×C₇	C₂⁵	1	2	yes	—
796	C₂³×C₇	C₂⁵	1	2	yes	—
797	C₂³×C₇	C₂⁵	1	4	yes	—
798	C₂³×C₇	C₂⁵	1	1	yes	characteristic
799	C₇×Q₈	—	2	8	no	—
800	C₇×Q₈	—	2	4	no	—
801	C₇×Q₈	—	2	4	no	—
802	C₇×Q₈	—	4	4	no	—
803	C₇×Q₈	—	4	1	no	—
804	C₇×Q₈	—	4	2	no	—
805	C₇×Q₈	—	4	1	no	—
806	C₇×Q₈	—	4	4	no	—
807	C₇×Q₈	—	4	8	no	—
808	C₇×D₄	—	2	8	no	—
809	C₇×D₄	—	2	8	no	—
810	C₇×D₄	—	2	8	no	—
811	C₇×D₄	—	2	4	no	—
812	C₇×D₄	—	2	4	no	—
813	C₇×D₄	—	4	8	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	2	no	—
819	C₇×D₄	—	4	2	no	—
820	C₇×D₄	—	4	2	no	—
821	C₇×D₄	—	4	4	no	—
822	C₇×D₄	—	4	4	no	—
823	C₇×D₄	—	4	4	no	—
824	C₇×D₄	—	4	8	no	—
825	C₇×D₄	—	4	8	no	—
826	C₇×D₄	—	4	4	no	—
827	C₇×D₄	—	4	8	no	—
828	C₇×D₄	—	4	8	no	—
829	C₇×D₄	—	4	8	no	—
830	C₇×D₄	—	4	4	no	—
831	C₇×D₄	—	4	4	no	—
832	C₇×D₄	—	4	4	no	—
833	C₇×D₄	—	4	8	no	—
834	C₇×D₄	—	4	4	no	—
835	C₇×D₄	—	4	4	no	—
836	C₇×D₄	—	4	4	no	—
837	C₇×D₄	—	4	4	no	—
838	C₇×D₄	—	4	4	no	—
839	C₂×C₄×C₇	—	2	2	no	—
840	C₂×C₄×C₇	—	2	4	no	—
841	C₂×C₄×C₇	—	2	4	no	—
842	C₂×C₄×C₇	—	2	4	no	—
843	C₂×C₄×C₇	—	2	4	no	—
844	C₂×C₄×C₇	—	2	4	no	—
845	C₂×C₄×C₇	—	2	4	no	—
846	C₂×C₄×C₇	—	2	4	no	—
847	C₂×C₄×C₇	—	2	4	no	—
848	C₂×C₄×C₇	—	2	8	no	—
849	C₂×C₄×C₇	—	2	8	no	—
850	C₂×C₄×C₇	—	4	4	no	—
851	C₂×C₄×C₇	—	4	4	no	—
852	C₂×C₄×C₇	—	4	4	no	—
853	C₂×C₄×C₇	—	4	4	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	4	no	—
858	C₂×C₄×C₇	—	4	4	no	—
859	C₂×C₄×C₇	—	4	4	no	—
860	C₂×C₄×C₇	—	4	8	no	—
861	C₂×C₄×C₇	—	4	8	no	—
862	C₂×C₄×C₇	—	4	8	no	—
863	C₂×C₄×C₇	—	4	4	no	—
864	C₂×C₄×C₇	—	4	4	no	—
865	C₂×C₄×C₇	H(5,𝔽₂)	1	4	yes	—
866	C₂×C₄×C₇	C₂⁵	1	4	yes	—
867	C₂×C₄×C₇	C₂⁵	1	4	yes	—
868	C₂×C₄×C₇	C₂⁵	1	4	yes	—
869	C₂×C₄×C₇	C₂⁵	1	2	yes	—
870	C₂×C₄×C₇	C₂⁵	1	4	yes	—
871	C₂×C₄×C₇	C₂⁵	1	4	yes	—
872	C₂×C₄×C₇	C₂⁵	1	8	yes	—
873	C₂×C₄×C₇	C₂⁵	1	4	yes	—
874	C₂×C₄×C₇	C₂⁵	1	4	yes	—
875	C₂×C₄×C₇	C₂⁵	1	2	yes	—
876	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
877	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
878	C₂×C₄×C₇	C₂⁵	1	2	yes	—
879	2₋¹⁺⁴	—	4	4	no	—
880	H(5,𝔽₂)	—	4	4	no	—
881	C₂×#41	—	4	4	no	—
882	C₂×#41	—	4	4	no	—
883	C₂×#41	—	4	8	no	—
884	C₂×#41	C₂³×C₇	1	2	yes	—
885	C₂×#41	C₂³×C₇	1	2	yes	—
886	C₂×#41	C₂³×C₇	1	2	yes	—
887	C₂×#41	C₂³×C₇	1	2	yes	—
888	C₂×#41	C₂³×C₇	1	4	yes	—
889	C₂×#41	C₂³×C₇	1	4	yes	—
890	C₂×#41	C₂³×C₇	1	4	yes	—
891	C₂×#41	C₂³×C₇	1	2	yes	—
892	C₂×#41	C₂³×C₇	1	4	yes	—
893	C₂×#41	C₂³×C₇	1	2	yes	—
894	C₂×#41	C₂³×C₇	1	4	yes	—
895	C₂×#41	C₂³×C₇	1	2	yes	—
896	C₂×#41	C₂³×C₇	1	4	yes	—
897	C₂×#41	C₂³×C₇	1	4	yes	—
898	C₂×#41	C₂³×C₇	1	2	yes	—
899	C₂×#41	C₂³×C₇	1	8	yes	—
900	C₂×#41	C₂³×C₇	1	8	yes	—
901	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
902	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
903	C₂²×Q₈	C₂³×C₇	1	4	yes	—
904	C₂²×Q₈	C₂³×C₇	1	2	yes	—
905	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
906	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
907	C₂²×D₄	C₂³×C₇	1	2	yes	—
908	C₂²×D₄	C₂³×C₇	1	2	yes	—
909	C₂²×D₄	C₂³×C₇	1	4	yes	—
910	C₂²×D₄	C₂³×C₇	1	4	yes	—
911	C₂²×D₄	C₂³×C₇	1	4	yes	—
912	C₂²×D₄	C₂³×C₇	1	2	yes	—
913	C₂²×D₄	C₂³×C₇	1	4	yes	—
914	C₂²×D₄	C₂³×C₇	1	8	yes	—
915	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
916	C₂³×C₄	C₂³×C₇	1	2	yes	—
917	C₂³×C₄	C₂³×C₇	1	2	yes	—
918	C₂³×C₄	C₂³×C₇	1	4	yes	—
919	C₂³×C₄	C₂³×C₇	1	2	yes	—
920	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
921	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
922	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
923	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
924	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
925	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
926	#127	C₂³×C₇	1	4	yes	—
927	#127	C₂³×C₇	1	4	yes	—
928	#127	C₂³×C₇	1	4	yes	—
929	#127	C₂³×C₇	1	8	yes	—
930	#127	C₂³×C₇	1	8	yes	—
931	#126	C₂³×C₇	1	8	yes	—
932	#126	C₂³×C₇	1	8	yes	—
933	#126	C₂³×C₇	1	8	yes	—
934	#126	C₂³×C₇	1	8	yes	—
935	#126	C₂³×C₇	1	8	yes	—
936	#126	C₂³×C₇	1	8	yes	—
937	#126	C₂³×C₇	1	8	yes	—
938	#126	C₂³×C₇	1	8	yes	—
939	#125	C₂³×C₇	1	4	yes	—
940	#125	C₂³×C₇	1	4	yes	—
941	#125	C₂³×C₇	1	8	yes	—
942	#125	C₂³×C₇	1	8	yes	—
943	#125	C₂³×C₇	1	8	yes	—
944	#125	C₂³×C₇	1	8	yes	—
945	#125	C₂³×C₇	1	8	yes	—
946	#124	C₂³×C₇	1	4	yes	—
947	#124	C₂³×C₇	1	4	yes	—
948	#124	C₂³×C₇	1	4	yes	—
949	#124	C₂³×C₇	1	4	yes	—
950	#124	C₂³×C₇	1	4	yes	—
951	#124	C₂³×C₇	1	4	yes	—
952	#124	C₂³×C₇	1	8	yes	—
953	#124	C₂³×C₇	1	8	yes	—
954	#124	C₂³×C₇	1	8	yes	—
955	#124	C₂³×C₇	1	8	yes	—
956	#124	C₂³×C₇	1	8	yes	—
957	#124	C₂³×C₇	1	8	yes	—
958	#123	C₂³×C₇	1	4	yes	—
959	#123	C₂³×C₇	1	8	yes	—
960	#123	C₂³×C₇	1	8	yes	—
961	#123	C₂³×C₇	1	8	yes	—
962	#123	C₂³×C₇	1	4	yes	—
963	#123	C₂³×C₇	1	4	yes	—
964	#123	C₂³×C₇	1	4	yes	—
965	#123	C₂³×C₇	1	4	yes	—
966	#123	C₂³×C₇	1	4	yes	—
967	#123	C₂³×C₇	1	4	yes	—
968	#123	C₂³×C₇	1	4	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	8	yes	—
976	#123	C₂³×C₇	1	8	yes	—
977	#123	C₂³×C₇	1	8	yes	—
978	#123	C₂³×C₇	1	8	yes	—
979	#123	C₂³×C₇	1	8	yes	—
980	#123	C₂³×C₇	1	8	yes	—
981	#123	C₂³×C₇	1	8	yes	—
982	#123	C₂³×C₇	1	8	yes	—
983	#123	C₂³×C₇	1	8	yes	—
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	4	yes	—
989	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
990	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
991	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
992	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
993	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
994	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
995	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
996	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
997	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
998	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
999	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1000	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1001	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1002	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1003	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1004	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1005	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1006	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1007	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1008	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1009	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1010	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1011	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1012	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1013	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1014	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1015	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1016	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1017	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1018	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1019	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1020	#121	C₂³×C₇	1	2	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	8	yes	—
1026	#121	C₂³×C₇	1	4	yes	—
1027	#121	C₂³×C₇	1	8	yes	—
1028	#121	C₂³×C₇	1	4	yes	—
1029	#121	C₂³×C₇	1	4	yes	—
1030	#121	C₂³×C₇	1	4	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	2	yes	—
1037	#121	C₂³×C₇	1	2	yes	—
1038	#121	C₂³×C₇	1	2	yes	—
1039	#121	C₂³×C₇	1	4	yes	—
1040	#121	C₂³×C₇	1	4	yes	—
1041	#121	C₂³×C₇	1	4	yes	—
1042	#121	C₂³×C₇	1	4	yes	—
1043	#121	C₂³×C₇	1	2	yes	—
1044	#121	C₂³×C₇	1	2	yes	—
1045	#121	C₂³×C₇	1	4	yes	—
1046	#121	C₂³×C₇	1	2	yes	—
1047	#121	C₂³×C₇	1	2	yes	—
1048	#121	C₂³×C₇	1	4	yes	—
1049	#121	C₂³×C₇	1	8	yes	—
1050	#121	C₂³×C₇	1	4	yes	—
1051	#121	C₂³×C₇	1	8	yes	—
1052	#121	C₂³×C₇	1	4	yes	—
1053	#121	C₂³×C₇	1	4	yes	—
1054	#121	C₂³×C₇	1	4	yes	—
1055	#121	C₂³×C₇	1	4	yes	—
1056	#121	C₂³×C₇	1	4	yes	—
1057	#121	C₂³×C₇	1	4	yes	—
1058	#121	C₂³×C₇	1	4	yes	—
1059	#121	C₂³×C₇	1	4	yes	—
1060	#121	C₂³×C₇	1	4	yes	—
1061	#121	C₂³×C₇	1	8	yes	—
1062	#121	C₂³×C₇	1	8	yes	—
1063	#121	C₂³×C₇	1	8	yes	—
1064	#121	C₂³×C₇	1	8	yes	—
1065	#121	C₂³×C₇	1	8	yes	—
1066	#121	C₂³×C₇	1	8	yes	—
1067	#121	C₂³×C₇	1	8	yes	—
1068	#121	C₂³×C₇	1	8	yes	—
1069	#121	C₂³×C₇	1	8	yes	—
1070	#121	C₂³×C₇	1	8	yes	—
1071	#121	C₂³×C₇	1	8	yes	—
1072	#121	C₂³×C₇	1	8	yes	—
1073	#121	C₂³×C₇	1	8	yes	—
1074	#120	C₂³×C₇	1	4	yes	—
1075	#120	C₂³×C₇	1	4	yes	—
1076	#120	C₂³×C₇	1	4	yes	—
1077	#120	C₂³×C₇	1	4	yes	—
1078	#120	C₂³×C₇	1	4	yes	—
1079	#120	C₂³×C₇	1	4	yes	—
1080	#120	C₂³×C₇	1	4	yes	—
1081	#120	C₂³×C₇	1	8	yes	—
1082	#120	C₂³×C₇	1	4	yes	—
1083	#120	C₂³×C₇	1	8	yes	—
1084	#120	C₂³×C₇	1	8	yes	—
1085	#120	C₂³×C₇	1	8	yes	—
1086	#120	C₂³×C₇	1	8	yes	—
1087	#120	C₂³×C₇	1	8	yes	—
1088	C₄×Q₈	C₂³×C₇	1	4	yes	—
1089	C₄×Q₈	C₂³×C₇	1	4	yes	—
1090	C₄×Q₈	C₂³×C₇	1	4	yes	—
1091	C₄×Q₈	C₂³×C₇	1	4	yes	—
1092	C₄×Q₈	C₂³×C₇	1	8	yes	—
1093	C₄×D₄	C₂³×C₇	1	4	yes	—
1094	C₄×D₄	C₂³×C₇	1	4	yes	—
1095	C₄×D₄	C₂³×C₇	1	8	yes	—
1096	C₄×D₄	C₂³×C₇	1	8	yes	—
1097	C₄×D₄	C₂³×C₇	1	4	yes	—
1098	C₄×D₄	C₂³×C₇	1	4	yes	—
1099	C₄×D₄	C₂³×C₇	1	4	yes	—
1100	C₄×D₄	C₂³×C₇	1	4	yes	—
1101	C₄×D₄	C₂³×C₇	1	4	yes	—
1102	C₄×D₄	C₂³×C₇	1	4	yes	—
1103	C₄×D₄	C₂³×C₇	1	4	yes	—
1104	C₄×D₄	C₂³×C₇	1	4	yes	—
1105	C₄×D₄	C₂³×C₇	1	4	yes	—
1106	C₄×D₄	C₂³×C₇	1	4	yes	—
1107	C₄×D₄	C₂³×C₇	1	8	yes	—
1108	C₄×D₄	C₂³×C₇	1	8	yes	—
1109	C₄×D₄	C₂³×C₇	1	8	yes	—
1110	C₄×D₄	C₂³×C₇	1	8	yes	—
1111	C₄×D₄	C₂³×C₇	1	8	yes	—
1112	C₄×D₄	C₂³×C₇	1	8	yes	—
1113	C₄×D₄	C₂³×C₇	1	8	yes	—
1114	C₄×D₄	C₂³×C₇	1	8	yes	—
1115	C₄×D₄	C₂³×C₇	1	8	yes	—
1116	C₄×D₄	C₂³×C₇	1	8	yes	—
1117	C₄×D₄	C₂³×C₇	1	8	yes	—
1118	#117	C₂³×C₇	1	2	yes	—
1119	#117	C₂³×C₇	1	2	yes	—
1120	#117	C₂³×C₇	1	4	yes	—
1121	#117	C₂³×C₇	1	4	yes	—
1122	#117	C₂³×C₇	1	2	yes	—
1123	#117	C₂³×C₇	1	2	yes	—
1124	#117	C₂³×C₇	1	4	yes	—
1125	#117	C₂³×C₇	1	4	yes	—
1126	#117	C₂³×C₇	1	4	yes	—
1127	#117	C₂³×C₇	1	8	yes	—
1128	#117	C₂³×C₇	1	8	yes	—
1129	#117	C₂³×C₇	1	8	yes	—
1130	#117	C₂³×C₇	1	8	yes	—
1131	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1132	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1133	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1134	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1135	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1136	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1137	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1138	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1139	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1140	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
1141	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1142	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1143	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1144	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1145	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1146	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1147	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
1148	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
1149	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1150	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1151	C₂×C₄²	C₂³×C₇	1	4	yes	—
1152	C₂²×C₇	—	2	1	no	—
1153	C₂²×C₇	—	2	1	no	—
1154	C₂²×C₇	—	2	2	no	—
1155	C₂²×C₇	—	2	2	no	—
1156	C₂²×C₇	—	2	2	no	—
1157	C₂²×C₇	—	2	4	no	—
1158	C₂²×C₇	—	2	4	no	—
1159	C₂²×C₇	—	2	4	no	—
1160	C₂²×C₇	—	2	2	no	—
1161	C₂²×C₇	—	2	2	no	—
1162	C₂²×C₇	—	2	4	no	—
1163	C₂²×C₇	—	2	4	no	—
1164	C₂²×C₇	—	2	4	no	—
1165	C₂²×C₇	—	2	2	no	—
1166	C₂²×C₇	—	2	2	no	—
1167	C₂²×C₇	—	2	4	no	—
1168	C₂²×C₇	—	2	2	no	—
1169	C₂²×C₇	—	2	4	no	—
1170	C₂²×C₇	—	2	2	no	—
1171	C₂²×C₇	—	2	4	no	—
1172	C₂²×C₇	—	4	4	no	—
1173	C₂²×C₇	—	8	4	no	—
1174	C₂²×C₇	—	8	4	no	—
1175	C₂²×C₇	—	8	8	no	—
1176	C₂²×C₇	—	16	4	no	—
1177	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1178	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1179	C₄×C₇	—	2	1	no	—
1180	C₄×C₇	—	2	1	no	—
1181	C₄×C₇	—	2	2	no	—
1182	C₄×C₇	—	2	2	no	—
1183	C₄×C₇	—	2	4	no	—
1184	C₄×C₇	—	2	4	no	—
1185	C₄×C₇	—	2	4	no	—
1186	C₄×C₇	—	2	8	no	—
1187	C₄×C₇	—	2	4	no	—
1188	C₄×C₇	—	2	4	no	—
1189	C₄×C₇	—	2	4	no	—
1190	C₄×C₇	—	2	4	no	—
1191	C₄×C₇	C₂×H(5,𝔽₂)	1	4	yes	—
1192	C₂⁴	C₂⁴×C₇	1	2	yes	—
1193	C₂⁴	C₂⁴×C₇	1	2	yes	—
1194	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1195	C₂⁴	C₂⁴×C₇	1	4	yes	—
1196	C₂⁴	C₂⁴×C₇	1	4	yes	—
1197	#41	—	2	8	no	—
1198	#41	—	2	8	no	—
1199	#41	—	4	4	no	—
1200	#41	—	4	4	no	—
1201	#41	—	4	4	no	—
1202	#41	—	4	4	no	—
1203	#41	—	4	8	no	—
1204	#41	—	4	8	no	—
1205	#41	—	4	8	no	—
1206	#41	—	4	8	no	—
1207	#41	—	4	8	no	—
1208	#41	—	4	4	no	—
1209	#41	—	4	4	no	—
1210	#41	—	4	8	no	—
1211	#41	—	4	8	no	—
1212	#41	—	8	8	no	—
1213	#41	—	8	8	no	—
1214	C₂×Q₈	—	2	4	no	—
1215	C₂×Q₈	—	4	2	no	—
1216	C₂×Q₈	—	4	4	no	—
1217	C₂×Q₈	—	4	8	no	—
1218	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1219	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1220	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1221	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1222	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1223	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1224	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1225	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1226	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1227	C₂×D₄	—	2	4	no	—
1228	C₂×D₄	—	4	4	no	—
1229	C₂×D₄	—	4	8	no	—
1230	C₂×D₄	—	4	2	no	—
1231	C₂×D₄	—	4	4	no	—
1232	C₂×D₄	—	4	4	no	—
1233	C₂×D₄	—	4	8	no	—
1234	C₂×D₄	—	4	8	no	—
1235	C₂×D₄	—	8	4	no	—
1236	C₂×D₄	—	8	8	no	—
1237	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1238	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1239	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1240	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1241	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1242	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1243	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1244	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1245	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1246	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1247	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1248	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1249	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1250	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1251	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1252	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1253	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1254	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1255	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1256	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1257	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1258	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1259	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1260	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1261	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1262	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1263	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1264	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1265	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1266	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1267	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1268	C₂²×C₄	—	2	4	no	—
1269	C₂²×C₄	—	2	8	no	—
1270	C₂²×C₄	—	4	8	no	—
1271	C₂²×C₄	—	4	4	no	—
1272	C₂²×C₄	—	8	2	no	—
1273	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1274	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1275	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1276	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1277	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1278	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1279	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1280	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1281	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1282	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1283	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1284	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1285	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1286	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1287	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1288	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1289	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1290	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1291	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1292	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1293	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1294	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1295	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1296	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1297	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1298	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1299	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1300	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1301	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1302	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1303	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1304	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1305	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1306	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1307	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1308	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1309	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1310	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1311	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1312	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1313	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1314	C₄⋊C₄	C₂⁴×C₇	1	4	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	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1322	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1323	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1324	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1325	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1326	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1327	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1328	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1329	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1330	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1331	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1332	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1333	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1334	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1335	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1336	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1337	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1338	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1339	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1340	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1341	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1342	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1343	C₂²⋊C₄	C₂⁴×C₇	1	8	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	4	yes	—
1348	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1349	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1350	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1351	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1352	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1353	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1354	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1355	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1356	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1357	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1358	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1359	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1360	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1361	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1362	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1363	C₄²	C₂⁴×C₇	1	4	yes	—
1364	C₄²	C₂⁴×C₇	1	4	yes	—
1365	C₄²	C₂⁴×C₇	1	4	yes	—
1366	C₄²	C₂⁴×C₇	1	4	yes	—
1367	C₄²	C₂⁴×C₇	1	8	yes	—
1368	C₄²	C₂⁴×C₇	1	8	yes	—
1369	C₄²	C₂⁴×C₇	1	8	yes	—
1370	C₂×C₇	—	2	2	no	—
1371	C₂×C₇	—	4	2	no	—
1372	C₂×C₇	—	4	2	no	—
1373	C₂×C₇	—	4	4	no	—
1374	C₂×C₇	—	4	2	no	—
1375	C₂×C₇	—	4	4	no	—
1376	C₂×C₇	—	4	4	no	—
1377	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1378	C₂×C₇	H(7,𝔽₂)	1	1	yes	characteristic
1379	C₂×C₇	2₋¹⁺⁶	1	1	yes	characteristic
1380	C₂³	—	2	2	no	—
1381	C₂³	—	2	4	no	—
1382	C₂³	—	2	4	no	—
1383	C₂³	—	4	1	no	—
1384	C₂³	—	4	1	no	—
1385	C₂³	—	4	4	no	—
1386	C₂³	—	4	2	no	—
1387	C₂³	—	4	2	no	—
1388	C₂³	—	4	4	no	—
1389	C₂³	—	4	2	no	—
1390	C₂³	—	4	2	no	—
1391	C₂³	—	4	4	no	—
1392	C₂³	—	4	4	no	—
1393	C₂³	—	4	4	no	—
1394	C₂³	—	4	4	no	—
1395	C₂³	C₂⁵×C₇	1	2	yes	—
1396	C₂³	C₂⁵×C₇	1	4	yes	—
1397	C₂³	C₂⁵×C₇	1	4	yes	—
1398	C₂³	C₂⁵×C₇	1	2	yes	—
1399	C₂³	C₂⁵×C₇	1	2	yes	—
1400	C₂³	C₂⁵×C₇	1	4	yes	—
1401	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1402	Q₈	—	2	8	no	—
1403	Q₈	—	2	4	no	—
1404	Q₈	—	2	4	no	—
1405	Q₈	—	4	4	no	—
1406	Q₈	—	4	1	no	—
1407	Q₈	—	4	2	no	—
1408	Q₈	—	4	1	no	—
1409	Q₈	—	4	4	no	—
1410	Q₈	—	4	8	no	—
1411	D₄	—	2	8	no	—
1412	D₄	—	2	8	no	—
1413	D₄	—	2	8	no	—
1414	D₄	—	2	4	no	—
1415	D₄	—	2	4	no	—
1416	D₄	—	4	8	no	—
1417	D₄	—	4	1	no	—
1418	D₄	—	4	2	no	—
1419	D₄	—	4	2	no	—
1420	D₄	—	4	1	no	—
1421	D₄	—	4	2	no	—
1422	D₄	—	4	2	no	—
1423	D₄	—	4	2	no	—
1424	D₄	—	4	4	no	—
1425	D₄	—	4	4	no	—
1426	D₄	—	4	4	no	—
1427	D₄	—	4	8	no	—
1428	D₄	—	4	8	no	—
1429	D₄	—	4	4	no	—
1430	D₄	—	4	8	no	—
1431	D₄	—	4	8	no	—
1432	D₄	—	4	8	no	—
1433	D₄	—	4	4	no	—
1434	D₄	—	4	4	no	—
1435	D₄	—	4	4	no	—
1436	D₄	—	4	8	no	—
1437	D₄	—	4	4	no	—
1438	D₄	—	4	4	no	—
1439	D₄	—	4	4	no	—
1440	D₄	—	4	4	no	—
1441	D₄	—	4	4	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	4	no	—
1447	C₂×C₄	—	2	4	no	—
1448	C₂×C₄	—	2	4	no	—
1449	C₂×C₄	—	2	4	no	—
1450	C₂×C₄	—	2	4	no	—
1451	C₂×C₄	—	2	8	no	—
1452	C₂×C₄	—	2	8	no	—
1453	C₂×C₄	—	4	4	no	—
1454	C₂×C₄	—	4	4	no	—
1455	C₂×C₄	—	4	4	no	—
1456	C₂×C₄	—	4	4	no	—
1457	C₂×C₄	—	4	4	no	—
1458	C₂×C₄	—	4	4	no	—
1459	C₂×C₄	—	4	8	no	—
1460	C₂×C₄	—	4	4	no	—
1461	C₂×C₄	—	4	4	no	—
1462	C₂×C₄	—	4	4	no	—
1463	C₂×C₄	—	4	8	no	—
1464	C₂×C₄	—	4	8	no	—
1465	C₂×C₄	—	4	8	no	—
1466	C₂×C₄	—	4	4	no	—
1467	C₂×C₄	—	4	4	no	—
1468	C₂×C₄	C₇×H(5,𝔽₂)	1	4	yes	—
1469	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1470	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1471	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1472	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1473	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1474	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1475	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1476	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1477	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1478	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1479	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1480	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1481	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1482	C₇	#62875	1	1	yes	characteristic, direct product factor, Sylow
1483	C₂²	—	2	1	no	—
1484	C₂²	—	2	1	no	—
1485	C₂²	—	2	2	no	—
1486	C₂²	—	2	2	no	—
1487	C₂²	—	2	2	no	—
1488	C₂²	—	2	4	no	—
1489	C₂²	—	2	4	no	—
1490	C₂²	—	2	4	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	2	2	no	—
1493	C₂²	—	2	4	no	—
1494	C₂²	—	2	4	no	—
1495	C₂²	—	2	4	no	—
1496	C₂²	—	2	2	no	—
1497	C₂²	—	2	2	no	—
1498	C₂²	—	2	4	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	2	4	no	—
1501	C₂²	—	2	2	no	—
1502	C₂²	—	2	4	no	—
1503	C₂²	—	4	4	no	—
1504	C₂²	—	8	4	no	—
1505	C₂²	—	8	4	no	—
1506	C₂²	—	8	8	no	—
1507	C₂²	—	16	4	no	—
1508	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1509	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1510	C₄	—	2	1	no	—
1511	C₄	—	2	1	no	—
1512	C₄	—	2	2	no	—
1513	C₄	—	2	2	no	—
1514	C₄	—	2	4	no	—
1515	C₄	—	2	4	no	—
1516	C₄	—	2	4	no	—
1517	C₄	—	2	8	no	—
1518	C₄	—	2	4	no	—
1519	C₄	—	2	4	no	—
1520	C₄	—	2	4	no	—
1521	C₄	—	2	4	no	—
1522	C₄	C₂×C₇×H(5,𝔽₂)	1	4	yes	—
1523	C₂	—	2	2	no	—
1524	C₂	—	4	2	no	—
1525	C₂	—	4	2	no	—
1526	C₂	—	4	4	no	—
1527	C₂	—	4	4	no	—
1528	C₂	—	4	2	no	—
1529	C₂	—	4	4	no	—
1530	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1531	C₂	C₇×H(7,𝔽₂)	1	1	yes	characteristic
1532	C₂	C₇×2₋¹⁺⁶	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₇×#3551	C₂	semidirect
2. C₇×#3548	C₂	semidirect
3. C₇×#3547	C₂	semidirect
4. C₇×#3546	C₂	semidirect
5. C₇×#3542	C₂	semidirect
6. C₇×#3542	C₂	semidirect
7. C₇×#3541	C₂	semidirect
8. C₇×#3539	C₂	semidirect
9. C₇×#3536	C₂	semidirect
10. C₇×#3535	C₂	semidirect
11. C₇×#3534	C₂	semidirect
12. C₇×#3495	C₂	semidirect
13. C₇×#3494	C₂	semidirect
14. C₇×#3492	C₂	semidirect
15. C₇×#3489	C₂	semidirect
16. C₇×#3488	C₂	semidirect
17. C₇×#3487	C₂	semidirect
18. C₇×#3485	C₂	semidirect
19. C₇×#3449	C₂	semidirect
20. C₂×C₇×#537	C₂	semidirect
21. C₂×C₇×2₋¹⁺⁴	C₂²	semidirect
23. C₂²×C₇×#41	C₂²	semidirect
24. C₂²×C₇×#41	C₂²	semidirect
25. C₂²×C₇×#41	C₂²	semidirect
26. C₇×#563	C₂²	semidirect
27. C₇×#562	C₂²	semidirect
28. C₇×#562	C₂²	semidirect
29. C₇×#562	C₂²	semidirect
30. C₇×#562	C₂²	semidirect
31. C₇×#560	C₂²	semidirect
32. C₇×#560	C₂²	semidirect
33. C₇×#560	C₂²	semidirect
34. C₇×#556	C₂²	semidirect
35. C₇×#555	C₂²	semidirect
36. C₇×#555	C₂²	semidirect
37. C₇×#554	C₂²	semidirect
38. C₇×#554	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×#553	C₂²	semidirect
46. C₇×#553	C₂²	semidirect
47. C₇×#552	C₂²	semidirect
48. C₇×#552	C₂²	semidirect
49. C₇×#552	C₂²	semidirect
50. C₇×#552	C₂²	semidirect
51. C₇×#552	C₂²	semidirect
52. C₇×#551	C₂²	semidirect
53. C₇×#551	C₂²	semidirect
54. C₇×#551	C₂²	semidirect
55. C₇×#550	C₂²	semidirect
56. C₇×#550	C₂²	semidirect
57. C₇×#550	C₂²	semidirect
58. C₇×#550	C₂²	semidirect
59. C₇×D₄×Q₈	C₂²	semidirect
60. C₇×#548	C₂²	semidirect
61. C₇×#548	C₂²	semidirect
62. C₇×#548	C₂²	semidirect
63. C₇×#548	C₂²	semidirect
64. C₇×#547	C₂²	semidirect
65. C₇×#547	C₂²	semidirect
66. C₇×#547	C₂²	semidirect
67. C₇×#547	C₂²	semidirect
68. C₇×#547	C₂²	semidirect
69. C₇×#547	C₂²	semidirect
70. C₇×#547	C₂²	semidirect
71. C₇×#546	C₂²	semidirect
72. C₇×#546	C₂²	semidirect
73. C₇×#546	C₂²	semidirect
74. C₇×#546	C₂²	semidirect
75. C₇×#546	C₂²	semidirect
76. C₇×#546	C₂²	semidirect
77. C₇×#546	C₂²	semidirect
78. C₇×#546	C₂²	semidirect
79. C₇×#546	C₂²	semidirect
80. C₇×D₄²	C₂²	semidirect
81. C₇×D₄²	C₂²	semidirect
82. C₇×#544	C₂²	semidirect
83. C₇×#544	C₂²	semidirect
84. C₇×#543	C₂²	semidirect
85. C₇×#542	C₂²	semidirect
86. C₇×#542	C₂²	semidirect
87. C₇×#542	C₂²	semidirect
88. C₇×#542	C₂²	semidirect
89. C₇×#541	C₂²	semidirect
90. C₇×#540	C₂²	semidirect
91. C₇×#540	C₂²	semidirect
92. C₇×#540	C₂²	semidirect
93. C₇×#540	C₂²	semidirect
94. C₇×#540	C₂²	semidirect
95. C₇×#539	C₂²	semidirect
96. C₇×#539	C₂²	semidirect
97. C₇×#539	C₂²	semidirect
98. C₇×#539	C₂²	semidirect
99. C₇×#538	C₂²	semidirect
100. C₇×#538	C₂²	semidirect
101. C₇×#538	C₂²	semidirect
102. C₇×#538	C₂²	semidirect
103. C₇×#538	C₂²	semidirect
105. C₇×#537	C₂²	semidirect
106. C₇×#537	C₂²	semidirect
107. C₇×#537	C₂²	semidirect
108. C₇×#537	C₂²	semidirect
109. C₇×#537	C₂²	semidirect
110. C₇×#537	C₂²	semidirect
111. C₇×#537	C₂²	semidirect
112. C₇×#537	C₂²	semidirect
113. C₇×#537	C₂²	semidirect
114. C₇×#537	C₂²	semidirect
115. C₇×#537	C₂²	semidirect
116. C₇×#537	C₂²	semidirect
117. C₇×#536	C₂²	semidirect
118. C₇×#536	C₂²	semidirect
119. C₇×#536	C₂²	semidirect
120. C₇×#536	C₂²	semidirect
121. C₇×#536	C₂²	semidirect
122. C₇×#535	C₂²	semidirect
123. C₇×#535	C₂²	semidirect
124. C₇×#535	C₂²	semidirect
125. C₇×#535	C₂²	semidirect
126. C₇×#535	C₂²	semidirect
127. C₇×#535	C₂²	semidirect
128. C₇×#535	C₂²	semidirect
129. C₇×#534	C₂²	semidirect
130. C₇×#534	C₂²	semidirect
131. C₇×#534	C₂²	semidirect
132. C₇×#534	C₂²	semidirect
133. C₇×#533	C₂²	semidirect
134. C₇×#532	C₂²	semidirect
135. C₇×#532	C₂²	semidirect
136. C₇×#532	C₂²	semidirect
137. C₇×#529	C₂²	semidirect
138. C₇×#529	C₂²	semidirect
140. C₇×#525	C₂²	semidirect
141. C₇×#525	C₂²	semidirect
142. C₇×#525	C₂²	semidirect
143. C₇×#525	C₂²	semidirect
144. C₇×#525	C₂²	semidirect
145. C₇×#525	C₂²	semidirect
146. C₇×#525	C₂²	semidirect
147. C₇×#525	C₂²	semidirect
148. C₇×#525	C₂²	semidirect
149. C₂×C₇×#123	C₂²	semidirect
150. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
151. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
152. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
153. C₂×C₇×#121	C₂²	semidirect
154. C₂×C₇×#121	C₂²	semidirect
155. C₂×C₇×#121	C₂²	semidirect
156. C₂×C₇×#121	C₂²	semidirect
157. C₇×#520	C₂²	semidirect
158. C₇×#520	C₂²	semidirect
159. C₇×#519	C₂²	semidirect
160. C₇×#518	C₂²	semidirect
161. C₂×C₇×#117	C₂²	semidirect
162. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
163. #62875	C₇	direct (N × H)
437. #3551	C₂×C₇	semidirect
438. #3548	C₂×C₇	semidirect
439. #3547	C₂×C₇	semidirect
440. #3546	C₂×C₇	semidirect
441. #3542	C₂×C₇	semidirect
442. #3542	C₂×C₇	semidirect
443. #3541	C₂×C₇	semidirect
444. #3539	C₂×C₇	semidirect
445. #3536	C₂×C₇	semidirect
446. #3535	C₂×C₇	semidirect
447. #3534	C₂×C₇	semidirect
448. #3495	C₂×C₇	semidirect
449. #3494	C₂×C₇	semidirect
450. #3492	C₂×C₇	semidirect
451. #3489	C₂×C₇	semidirect
452. #3488	C₂×C₇	semidirect
453. #3487	C₂×C₇	semidirect
454. #3485	C₂×C₇	semidirect
455. #3449	C₂×C₇	semidirect
456. C₂×#537	C₂×C₇	semidirect
635. C₂×2₋¹⁺⁴	C₂²×C₇	semidirect
637. C₂²×#41	C₂²×C₇	semidirect
638. C₂²×#41	C₂²×C₇	semidirect
639. C₂²×#41	C₂²×C₇	semidirect
640. #563	C₂²×C₇	semidirect
641. #562	C₂²×C₇	semidirect
642. #562	C₂²×C₇	semidirect
643. #562	C₂²×C₇	semidirect
644. #562	C₂²×C₇	semidirect
645. #560	C₂²×C₇	semidirect
646. #560	C₂²×C₇	semidirect
647. #560	C₂²×C₇	semidirect
648. #556	C₂²×C₇	semidirect
649. #555	C₂²×C₇	semidirect
650. #555	C₂²×C₇	semidirect
651. #554	C₂²×C₇	semidirect
652. #554	C₂²×C₇	semidirect
653. #554	C₂²×C₇	semidirect
654. #554	C₂²×C₇	semidirect
655. #553	C₂²×C₇	semidirect
656. #553	C₂²×C₇	semidirect
657. #553	C₂²×C₇	semidirect
658. #553	C₂²×C₇	semidirect
659. #553	C₂²×C₇	semidirect
660. #553	C₂²×C₇	semidirect
661. #552	C₂²×C₇	semidirect
662. #552	C₂²×C₇	semidirect
663. #552	C₂²×C₇	semidirect
664. #552	C₂²×C₇	semidirect
665. #552	C₂²×C₇	semidirect
666. #551	C₂²×C₇	semidirect
667. #551	C₂²×C₇	semidirect
668. #551	C₂²×C₇	semidirect
669. #550	C₂²×C₇	semidirect
670. #550	C₂²×C₇	semidirect
671. #550	C₂²×C₇	semidirect
672. #550	C₂²×C₇	semidirect
673. D₄×Q₈	C₂²×C₇	semidirect
674. #548	C₂²×C₇	semidirect
675. #548	C₂²×C₇	semidirect
676. #548	C₂²×C₇	semidirect
677. #548	C₂²×C₇	semidirect
678. #547	C₂²×C₇	semidirect
679. #547	C₂²×C₇	semidirect
680. #547	C₂²×C₇	semidirect
681. #547	C₂²×C₇	semidirect
682. #547	C₂²×C₇	semidirect
683. #547	C₂²×C₇	semidirect
684. #547	C₂²×C₇	semidirect
685. #546	C₂²×C₇	semidirect
686. #546	C₂²×C₇	semidirect
687. #546	C₂²×C₇	semidirect
688. #546	C₂²×C₇	semidirect
689. #546	C₂²×C₇	semidirect
690. #546	C₂²×C₇	semidirect
691. #546	C₂²×C₇	semidirect
692. #546	C₂²×C₇	semidirect
693. #546	C₂²×C₇	semidirect
694. D₄²	C₂²×C₇	semidirect
695. D₄²	C₂²×C₇	semidirect
696. #544	C₂²×C₇	semidirect
697. #544	C₂²×C₇	semidirect
698. #543	C₂²×C₇	semidirect
699. #542	C₂²×C₇	semidirect
700. #542	C₂²×C₇	semidirect
701. #542	C₂²×C₇	semidirect
702. #542	C₂²×C₇	semidirect
703. #541	C₂²×C₇	semidirect
704. #540	C₂²×C₇	semidirect
705. #540	C₂²×C₇	semidirect
706. #540	C₂²×C₇	semidirect
707. #540	C₂²×C₇	semidirect
708. #540	C₂²×C₇	semidirect
709. #539	C₂²×C₇	semidirect
710. #539	C₂²×C₇	semidirect
711. #539	C₂²×C₇	semidirect
712. #539	C₂²×C₇	semidirect
713. #538	C₂²×C₇	semidirect
714. #538	C₂²×C₇	semidirect
715. #538	C₂²×C₇	semidirect
716. #538	C₂²×C₇	semidirect
717. #538	C₂²×C₇	semidirect
719. #537	C₂²×C₇	semidirect
720. #537	C₂²×C₇	semidirect
721. #537	C₂²×C₇	semidirect
722. #537	C₂²×C₇	semidirect
723. #537	C₂²×C₇	semidirect
724. #537	C₂²×C₇	semidirect
725. #537	C₂²×C₇	semidirect
726. #537	C₂²×C₇	semidirect
727. #537	C₂²×C₇	semidirect
728. #537	C₂²×C₇	semidirect
729. #537	C₂²×C₇	semidirect
730. #537	C₂²×C₇	semidirect
731. #536	C₂²×C₇	semidirect
732. #536	C₂²×C₇	semidirect
733. #536	C₂²×C₇	semidirect
734. #536	C₂²×C₇	semidirect
735. #536	C₂²×C₇	semidirect
736. #535	C₂²×C₇	semidirect
737. #535	C₂²×C₇	semidirect
738. #535	C₂²×C₇	semidirect
739. #535	C₂²×C₇	semidirect
740. #535	C₂²×C₇	semidirect
741. #535	C₂²×C₇	semidirect
742. #535	C₂²×C₇	semidirect
743. #534	C₂²×C₇	semidirect
744. #534	C₂²×C₇	semidirect
745. #534	C₂²×C₇	semidirect
746. #534	C₂²×C₇	semidirect
747. #533	C₂²×C₇	semidirect
748. #532	C₂²×C₇	semidirect
749. #532	C₂²×C₇	semidirect
750. #532	C₂²×C₇	semidirect
751. #529	C₂²×C₇	semidirect
752. #529	C₂²×C₇	semidirect
754. #525	C₂²×C₇	semidirect
755. #525	C₂²×C₇	semidirect
756. #525	C₂²×C₇	semidirect
757. #525	C₂²×C₇	semidirect
758. #525	C₂²×C₇	semidirect
759. #525	C₂²×C₇	semidirect
760. #525	C₂²×C₇	semidirect
761. #525	C₂²×C₇	semidirect
762. #525	C₂²×C₇	semidirect
763. C₂×#123	C₂²×C₇	semidirect
764. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
765. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
766. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
767. C₂×#121	C₂²×C₇	semidirect
768. C₂×#121	C₂²×C₇	semidirect
769. C₂×#121	C₂²×C₇	semidirect
770. C₂×#121	C₂²×C₇	semidirect
771. #520	C₂²×C₇	semidirect
772. #520	C₂²×C₇	semidirect
773. #519	C₂²×C₇	semidirect
774. #518	C₂²×C₇	semidirect
775. C₂×#117	C₂²×C₇	semidirect
776. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
1482. C₇	#62875	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×#3551	2
C₇×#3548	2
C₇×#3547	2
C₇×#3546	2
C₇×#3542	2
C₇×#3541	2
C₇×#3539	2
C₇×#3536	2
C₇×#3535	2
C₇×#3534	2
C₇×#3495	2
C₇×#3494	2
C₇×#3492	2
C₇×#3489	2
C₇×#3488	2
C₇×#3487	2
C₇×#3485	2
C₇×#3449	2
C₂×C₇×#537	2
#62875	7

Subgroups — C7×#62875 #13240091

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62875 #13240091