Subgroups — C₇×#62874 #13240090

Order 1792.

7422 conjugacy classes of subgroups.

The subgroup lattice has 1020 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×#3549	C₂	1	4	yes	maximal, complemented
3	C₇×#3546	C₂	1	8	yes	maximal, complemented
4	C₇×#3545	C₂	1	4	yes	maximal, complemented
5	C₇×#3543	C₂	1	4	yes	maximal, complemented
6	C₇×#3542	C₂	1	8	yes	maximal, complemented
7	C₇×#3540	C₂	1	4	yes	maximal, complemented
8	C₇×#3537	C₂	1	4	yes	maximal, complemented
9	C₇×#3532	C₂	1	8	yes	maximal, complemented
10	C₇×#3494	C₂	1	4	yes	maximal, complemented
11	C₇×#3493	C₂	1	2	yes	maximal, complemented
12	C₇×#3488	C₂	1	4	yes	maximal, complemented
13	C₇×#3484	C₂	1	2	yes	maximal, complemented
14	C₇×#3449	C₂	1	2	yes	maximal, complemented
15	C₂×C₇×#535	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₇×H(5,𝔽₂)	C₂²	1	2	yes	complemented
17	C₂²×C₇×#41	C₂²	1	1	yes	characteristic, complemented
18	C₂²×C₇×#41	C₂²	1	2	yes	complemented
19	C₂³×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
20	C₇×#563	C₂²	1	4	yes	complemented
21	C₇×#562	C₂²	1	8	yes	complemented
22	C₇×H(3,𝔽₄)	C₂²	1	8	yes	complemented
23	C₇×H(3,𝔽₄)	C₂²	1	4	yes	complemented
24	C₇×#560	C₂²	1	16	yes	complemented
25	C₇×#560	C₂²	1	8	yes	complemented
26	C₇×#560	C₂²	1	8	yes	complemented
27	C₇×#560	C₂²	1	8	yes	complemented
28	C₇×#559	C₂²	1	4	yes	complemented
29	C₇×#556	C₂²	1	8	yes	complemented
30	C₇×#555	C₂²	1	8	yes	complemented
31	C₇×#555	C₂²	1	8	yes	complemented
32	C₇×#555	C₂²	1	8	yes	complemented
33	C₇×#553	C₂²	1	8	yes	complemented
34	C₇×#553	C₂²	1	8	yes	complemented
35	C₇×#553	C₂²	1	8	yes	complemented
36	C₇×#552	C₂²	1	8	yes	complemented
37	C₇×#551	C₂²	1	16	yes	complemented
38	C₇×#551	C₂²	1	8	yes	complemented
39	C₇×#551	C₂²	1	8	yes	complemented
40	C₇×#550	C₂²	1	8	yes	complemented
41	C₇×#550	C₂²	1	8	yes	complemented
42	C₇×#548	C₂²	1	8	yes	complemented
43	C₇×#547	C₂²	1	8	yes	complemented
44	C₇×#546	C₂²	1	8	yes	complemented
45	C₇×#546	C₂²	1	8	yes	complemented
46	C₇×#546	C₂²	1	16	yes	complemented
47	C₇×#546	C₂²	1	16	yes	complemented
48	C₇×#546	C₂²	1	16	yes	complemented
49	C₇×#546	C₂²	1	8	yes	complemented
50	C₇×D₄²	C₂²	1	8	yes	complemented
51	C₇×D₄²	C₂²	1	8	yes	complemented
52	C₇×D₄²	C₂²	1	16	yes	complemented
53	C₇×D₄²	C₂²	1	8	yes	complemented
54	C₇×D₄²	C₂²	1	4	yes	complemented
55	C₇×D₄²	C₂²	1	8	yes	complemented
56	C₇×#544	C₂²	1	2	yes	complemented
57	C₇×#542	C₂²	1	8	yes	complemented
58	C₇×#542	C₂²	1	16	yes	complemented
59	C₇×#540	C₂²	1	8	yes	complemented
60	C₇×#540	C₂²	1	16	yes	complemented
61	C₇×#538	C₂²	1	8	yes	complemented
62	C₇×#538	C₂²	1	16	yes	complemented
63	C₇×#538	C₂²	1	16	yes	complemented
64	C₇×#538	C₂²	1	16	yes	complemented
65	C₇×#537	C₂²	1	2	yes	complemented
66	C₇×#537	C₂²	1	4	yes	complemented
67	C₇×#537	C₂²	1	4	yes	complemented
68	C₇×#537	C₂²	1	8	yes	complemented
69	C₇×#536	C₂²	1	4	yes	complemented
70	C₇×#536	C₂²	1	2	yes	complemented
71	C₇×#536	C₂²	1	2	yes	complemented
72	C₇×#535	C₂²	1	4	yes	complemented
73	C₇×#535	C₂²	1	4	yes	complemented
74	C₇×#535	C₂²	1	4	yes	complemented
75	C₇×#535	C₂²	1	4	yes	complemented
76	C₇×#535	C₂²	1	4	yes	complemented
77	C₇×#535	C₂²	1	4	yes	complemented
78	C₇×#535	C₂²	1	16	yes	complemented
79	C₇×#535	C₂²	1	2	yes	complemented
80	C₇×#535	C₂²	1	2	yes	complemented
81	C₇×#535	C₂²	1	16	yes	complemented
82	C₇×#535	C₂²	1	8	yes	complemented
83	C₇×#534	C₂²	1	4	yes	complemented
84	C₇×#534	C₂²	1	8	yes	complemented
85	C₇×#534	C₂²	1	4	yes	complemented
86	C₇×#534	C₂²	1	16	yes	complemented
87	C₇×#532	C₂²	1	4	yes	complemented
88	C₇×#532	C₂²	1	4	yes	complemented
89	C₇×#532	C₂²	1	8	yes	complemented
90	C₂×C₇×#127	C₂²	1	2	yes	complemented
91	C₇×#529	C₂²	1	8	yes	complemented
92	C₇×#529	C₂²	1	8	yes	complemented
93	C₂×C₇×#124	C₂²	1	2	yes	complemented
94	C₇×#525	C₂²	1	4	yes	complemented
95	C₇×#525	C₂²	1	4	yes	complemented
96	C₇×#525	C₂²	1	4	yes	complemented
97	C₇×#525	C₂²	1	4	yes	complemented
98	C₇×#525	C₂²	1	8	yes	complemented
99	C₂×C₇×#121	C₂²	1	4	yes	complemented
100	C₂×C₇×#121	C₂²	1	8	yes	complemented
101	C₂×C₇×#120	C₂²	1	4	yes	complemented
102	C₂×C₇×#120	C₂²	1	8	yes	complemented
103	C₇×#520	C₂²	1	4	yes	complemented
104	C₇×#518	C₂²	1	2	yes	complemented
105	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₇×#117	C₂²	1	2	yes	complemented
107	#62874	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
108	C₂⁵×C₇	C₂³	1	2	yes	—
109	C₇×H(5,𝔽₂)	—	4	8	no	—
110	C₂×C₇×#41	—	4	4	no	—
111	C₂×C₇×#41	—	4	8	no	—
112	C₂×C₇×#41	C₂³	1	4	yes	—
113	C₂×C₇×#41	C₂³	1	2	yes	—
114	C₂×C₇×#41	C₂³	1	2	yes	—
115	C₂×C₇×#41	C₂³	1	2	yes	—
116	C₂×C₇×#41	C₂³	1	2	yes	—
117	C₂×C₇×#41	C₂³	1	4	yes	—
118	C₂×C₇×#41	C₂³	1	8	yes	—
119	C₂×C₇×#41	C₂³	1	4	yes	complemented
120	C₂×C₇×#41	C₂³	1	4	yes	complemented
121	C₂×C₇×#41	C₂³	1	16	yes	complemented
122	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
123	C₂²×C₇×Q₈	C₂³	1	2	yes	complemented
124	C₂²×C₇×D₄	—	4	4	no	—
125	C₂²×C₇×D₄	C₂³	1	2	yes	—
126	C₂²×C₇×D₄	C₂³	1	2	yes	—
127	C₂²×C₇×D₄	C₂³	1	4	yes	—
128	C₂²×C₇×D₄	C₂³	1	4	yes	—
129	C₂²×C₇×D₄	C₂³	1	2	yes	—
130	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
131	C₂²×C₇×D₄	C₂³	1	4	yes	—
132	C₂²×C₇×D₄	C₂³	1	8	yes	—
133	C₂²×C₇×D₄	C₂³	1	8	yes	—
134	C₂²×C₇×D₄	C₂³	1	8	yes	—
135	C₂²×C₇×D₄	C₂³	1	16	yes	—
136	C₂²×C₇×D₄	C₂³	1	2	yes	complemented
137	C₂²×C₇×D₄	C₂³	1	16	yes	complemented
138	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₇	C₂³	1	2	yes	—
140	C₂³×C₄×C₇	C₂³	1	4	yes	complemented
141	C₇×C₄⋊Q₈	C₂³	1	4	yes	complemented
142	C₇×C₄⋊Q₈	C₂³	1	4	yes	complemented
143	C₇×C₄⋊Q₈	C₂³	1	8	yes	complemented
144	C₇×#127	C₂³	1	8	yes	—
145	C₇×#127	C₂³	1	4	yes	—
146	C₇×#127	C₂³	1	4	yes	—
147	C₇×#127	C₂³	1	4	yes	—
148	C₇×#127	C₂³	1	4	yes	—
149	C₇×#127	C₂³	1	8	yes	—
150	C₇×#127	C₂³	1	16	yes	complemented
151	C₇×#126	C₂³	1	16	yes	—
152	C₇×#126	C₂³	1	16	yes	complemented
153	C₇×#126	C₂³	1	16	yes	complemented
154	C₇×#126	C₂³	1	16	yes	complemented
155	C₇×#125	C₂³	1	8	yes	complemented
156	C₇×#125	C₂³	1	8	yes	complemented
157	C₇×#124	C₂³	1	8	yes	—
158	C₇×#124	C₂³	1	4	yes	—
159	C₇×#124	C₂³	1	4	yes	—
160	C₇×#124	C₂³	1	8	yes	—
161	C₇×#124	C₂³	1	4	yes	—
162	C₇×#124	C₂³	1	4	yes	—
163	C₇×#124	C₂³	1	16	yes	—
164	C₇×#124	C₂³	1	8	yes	complemented
165	C₇×#124	C₂³	1	4	yes	complemented
166	C₇×#124	C₂³	1	4	yes	complemented
167	C₇×#124	C₂³	1	16	yes	complemented
168	C₇×#124	C₂³	1	16	yes	complemented
169	C₇×#124	C₂³	1	16	yes	complemented
170	C₇×#123	C₂³	1	8	yes	—
171	C₇×#123	C₂³	1	4	yes	—
172	C₇×#123	C₂³	1	8	yes	—
173	C₇×#123	C₂³	1	4	yes	—
174	C₇×#123	C₂³	1	16	yes	—
175	C₇×#123	C₂³	1	8	yes	—
176	C₇×#123	C₂³	1	8	yes	—
177	C₇×#123	C₂³	1	4	yes	complemented
178	C₇×#123	C₂³	1	4	yes	complemented
179	C₇×#123	C₂³	1	16	yes	complemented
180	C₇×#123	C₂³	1	16	yes	complemented
181	C₇×#123	C₂³	1	16	yes	complemented
182	C₇×#123	C₂³	1	16	yes	complemented
183	C₇×#123	C₂³	1	16	yes	complemented
184	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
185	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
186	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
187	C₇×C₂²⋊Q₈	C₂³	1	4	yes	complemented
188	C₇×C₂²⋊Q₈	C₂³	1	4	yes	complemented
189	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
190	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
191	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
192	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
193	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
194	C₇×#121	C₂³	1	8	yes	—
195	C₇×#121	C₂³	1	8	yes	—
196	C₇×#121	C₂³	1	8	yes	—
197	C₇×#121	C₂³	1	8	yes	—
198	C₇×#121	C₂³	1	8	yes	—
199	C₇×#121	C₂³	1	8	yes	—
200	C₇×#121	C₂³	1	8	yes	—
201	C₇×#121	C₂³	1	4	yes	—
202	C₇×#121	C₂³	1	4	yes	—
203	C₇×#121	C₂³	1	8	yes	—
204	C₇×#121	C₂³	1	8	yes	—
205	C₇×#121	C₂³	1	8	yes	—
206	C₇×#121	C₂³	1	8	yes	—
207	C₇×#121	C₂³	1	16	yes	—
208	C₇×#121	C₂³	1	16	yes	—
209	C₇×#121	C₂³	1	16	yes	—
210	C₇×#121	C₂³	1	4	yes	complemented
211	C₇×#121	C₂³	1	16	yes	complemented
212	C₇×#121	C₂³	1	8	yes	complemented
213	C₇×#121	C₂³	1	16	yes	complemented
214	C₇×#121	C₂³	1	4	yes	complemented
215	C₇×#121	C₂³	1	8	yes	complemented
216	C₇×#121	C₂³	1	8	yes	complemented
217	C₇×#121	C₂³	1	16	yes	complemented
218	C₇×#121	C₂³	1	16	yes	complemented
219	C₇×#121	C₂³	1	16	yes	complemented
220	C₇×#121	C₂³	1	16	yes	complemented
221	C₇×#121	C₂³	1	16	yes	complemented
222	C₇×#121	C₂³	1	16	yes	complemented
223	C₇×#120	C₂³	1	8	yes	—
224	C₇×#120	C₂³	1	8	yes	—
225	C₇×#120	C₂³	1	16	yes	—
226	C₇×#120	C₂³	1	16	yes	—
227	C₇×#120	C₂³	1	8	yes	—
228	C₇×#120	C₂³	1	8	yes	—
229	C₇×#120	C₂³	1	8	yes	—
230	C₇×#120	C₂³	1	16	yes	—
231	C₇×#120	C₂³	1	4	yes	—
232	C₇×#120	C₂³	1	8	yes	—
233	C₇×#120	C₂³	1	4	yes	—
234	C₇×#120	C₂³	1	8	yes	—
235	C₇×#120	C₂³	1	8	yes	—
236	C₇×#120	C₂³	1	4	yes	complemented
237	C₇×#120	C₂³	1	4	yes	complemented
238	C₇×#120	C₂³	1	16	yes	complemented
239	C₇×#120	C₂³	1	16	yes	complemented
240	C₇×#120	C₂³	1	16	yes	complemented
241	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
242	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
243	C₄×C₇×D₄	C₂³	1	8	yes	—
244	C₄×C₇×D₄	C₂³	1	8	yes	—
245	C₄×C₇×D₄	C₂³	1	16	yes	—
246	C₄×C₇×D₄	C₂³	1	8	yes	—
247	C₄×C₇×D₄	C₂³	1	8	yes	—
248	C₄×C₇×D₄	C₂³	1	8	yes	complemented
249	C₄×C₇×D₄	C₂³	1	8	yes	complemented
250	C₄×C₇×D₄	C₂³	1	8	yes	complemented
251	C₄×C₇×D₄	C₂³	1	16	yes	complemented
252	C₄×C₇×D₄	C₂³	1	16	yes	complemented
253	C₄×C₇×D₄	C₂³	1	8	yes	complemented
254	C₄×C₇×D₄	C₂³	1	16	yes	complemented
255	C₄×C₇×D₄	C₂³	1	16	yes	complemented
256	C₇×#117	C₂³	1	4	yes	—
257	C₇×#117	C₂³	1	4	yes	—
258	C₇×#117	C₂³	1	4	yes	—
259	C₇×#117	C₂³	1	4	yes	—
260	C₇×#117	C₂³	1	4	yes	complemented
261	C₇×#117	C₂³	1	2	yes	complemented
262	C₇×#117	C₂³	1	2	yes	complemented
263	C₇×#117	C₂³	1	8	yes	complemented
264	C₇×#117	C₂³	1	16	yes	complemented
265	C₇×#117	C₂³	1	16	yes	complemented
266	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
267	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	complemented
268	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
269	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
270	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
271	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
272	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
273	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	—
274	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	complemented
275	C₂×C₄²×C₇	C₂³	1	2	yes	—
276	C₂×C₄²×C₇	C₂³	1	4	yes	complemented
277	#3551	C₂×C₇	1	4	yes	complemented
278	#3549	C₂×C₇	1	4	yes	complemented
279	#3546	C₂×C₇	1	8	yes	complemented
280	#3545	C₂×C₇	1	4	yes	complemented
281	#3543	C₂×C₇	1	4	yes	complemented
282	#3542	C₂×C₇	1	8	yes	complemented
283	#3540	C₂×C₇	1	4	yes	complemented
284	#3537	C₂×C₇	1	4	yes	complemented
285	#3532	C₂×C₇	1	8	yes	complemented
286	#3494	C₂×C₇	1	4	yes	complemented
287	#3493	C₂×C₇	1	2	yes	complemented
288	#3488	C₂×C₇	1	4	yes	complemented
289	#3484	C₂×C₇	1	2	yes	complemented
290	#3449	C₂×C₇	1	2	yes	complemented
291	C₂×#535	C₂×C₇	1	1	yes	characteristic, complemented
292	C₂⁴×C₇	—	4	4	no	—
293	C₂⁴×C₇	—	8	4	no	—
294	C₂⁴×C₇	C₂⁴	1	4	yes	—
295	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
296	C₂⁴×C₇	C₂⁴	1	2	yes	—
297	C₂⁴×C₇	C₂⁴	1	8	yes	—
298	C₂⁴×C₇	C₂⁴	1	8	yes	—
299	C₂⁴×C₇	C₂⁴	1	4	yes	—
300	C₇×#41	—	2	16	no	—
301	C₇×#41	—	4	4	no	—
302	C₇×#41	—	4	4	no	—
303	C₇×#41	—	4	4	no	—
304	C₇×#41	—	4	4	no	—
305	C₇×#41	—	4	8	no	—
306	C₇×#41	—	4	8	no	—
307	C₇×#41	—	4	8	no	—
308	C₇×#41	—	4	16	no	—
309	C₇×#41	—	8	16	no	—
310	C₂×C₇×Q₈	—	4	2	no	—
311	C₂×C₇×Q₈	—	4	4	no	—
312	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
313	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
314	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
315	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
316	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
317	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
318	C₂×C₇×D₄	—	2	8	no	—
319	C₂×C₇×D₄	—	4	8	no	—
320	C₂×C₇×D₄	—	4	8	no	—
321	C₂×C₇×D₄	—	4	16	no	—
322	C₂×C₇×D₄	—	4	4	no	—
323	C₂×C₇×D₄	—	4	4	no	—
324	C₂×C₇×D₄	—	4	2	no	—
325	C₂×C₇×D₄	—	4	4	no	—
326	C₂×C₇×D₄	—	4	8	no	—
327	C₂×C₇×D₄	—	4	16	no	—
328	C₂×C₇×D₄	—	8	8	no	—
329	C₂×C₇×D₄	—	8	16	no	—
330	C₂×C₇×D₄	—	8	16	no	—
331	C₂×C₇×D₄	C₂⁴	1	8	yes	—
332	C₂×C₇×D₄	C₂⁴	1	8	yes	—
333	C₂×C₇×D₄	C₂⁴	1	4	yes	—
334	C₂×C₇×D₄	C₂⁴	1	8	yes	—
335	C₂×C₇×D₄	C₂⁴	1	8	yes	—
336	C₂×C₇×D₄	C₂⁴	1	16	yes	—
337	C₂×C₇×D₄	C₂⁴	1	16	yes	—
338	C₂×C₇×D₄	C₂⁴	1	16	yes	—
339	C₂×C₇×D₄	C₂⁴	1	16	yes	—
340	C₂×C₇×D₄	C₂⁴	1	8	yes	—
341	C₂×C₇×D₄	C₂⁴	1	8	yes	—
342	C₂×C₇×D₄	C₂⁴	1	8	yes	—
343	C₂×C₇×D₄	C₂⁴	1	2	yes	—
344	C₂×C₇×D₄	C₂⁴	1	2	yes	—
345	C₂×C₇×D₄	C₂⁴	1	2	yes	—
346	C₂×C₇×D₄	C₂⁴	1	2	yes	—
347	C₂×C₇×D₄	C₂⁴	1	16	yes	—
348	C₂×C₇×D₄	C₂⁴	1	4	yes	—
349	C₂×C₇×D₄	C₂⁴	1	4	yes	—
350	C₂×C₇×D₄	C₂⁴	1	4	yes	—
351	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
352	C₂×C₇×D₄	C₂⁴	1	8	yes	—
353	C₂×C₇×D₄	C₂⁴	1	2	yes	—
354	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₇	—	2	4	no	—
356	C₂²×C₄×C₇	—	2	8	no	—
357	C₂²×C₄×C₇	—	4	8	no	—
358	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
360	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
361	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
362	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
363	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
364	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
365	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
366	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
367	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
368	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
369	C₂²×C₄×C₇	C₂⁴	1	16	yes	—
370	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
371	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
372	C₂²×C₄×C₇	C₂⁴	1	16	yes	—
373	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
374	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
375	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
376	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
377	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
378	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
379	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
380	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
381	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
382	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
383	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
384	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
385	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
386	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
387	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
388	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
389	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
390	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
391	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
392	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
393	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
394	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
395	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
396	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
397	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
398	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
399	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
400	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
401	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
402	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
403	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
404	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
405	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
406	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
407	C₄²×C₇	C₂⁴	1	4	yes	—
408	C₄²×C₇	C₂⁴	1	4	yes	—
409	C₄²×C₇	C₂⁴	1	4	yes	—
410	C₄²×C₇	C₂⁴	1	8	yes	—
411	C₄²×C₇	C₂⁴	1	4	yes	—
412	C₄²×C₇	C₂⁴	1	16	yes	—
413	C₂×H(5,𝔽₂)	C₂²×C₇	1	2	yes	complemented
414	C₂²×#41	C₂²×C₇	1	1	yes	characteristic, complemented
415	C₂²×#41	C₂²×C₇	1	2	yes	complemented
416	C₂³×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
417	#563	C₂²×C₇	1	4	yes	complemented
418	#562	C₂²×C₇	1	8	yes	complemented
419	H(3,𝔽₄)	C₂²×C₇	1	8	yes	complemented
420	H(3,𝔽₄)	C₂²×C₇	1	4	yes	complemented
421	#560	C₂²×C₇	1	16	yes	complemented
422	#560	C₂²×C₇	1	8	yes	complemented
423	#560	C₂²×C₇	1	8	yes	complemented
424	#560	C₂²×C₇	1	8	yes	complemented
425	#559	C₂²×C₇	1	4	yes	complemented
426	#556	C₂²×C₇	1	8	yes	complemented
427	#555	C₂²×C₇	1	8	yes	complemented
428	#555	C₂²×C₇	1	8	yes	complemented
429	#555	C₂²×C₇	1	8	yes	complemented
430	#553	C₂²×C₇	1	8	yes	complemented
431	#553	C₂²×C₇	1	8	yes	complemented
432	#553	C₂²×C₇	1	8	yes	complemented
433	#552	C₂²×C₇	1	8	yes	complemented
434	#551	C₂²×C₇	1	16	yes	complemented
435	#551	C₂²×C₇	1	8	yes	complemented
436	#551	C₂²×C₇	1	8	yes	complemented
437	#550	C₂²×C₇	1	8	yes	complemented
438	#550	C₂²×C₇	1	8	yes	complemented
439	#548	C₂²×C₇	1	8	yes	complemented
440	#547	C₂²×C₇	1	8	yes	complemented
441	#546	C₂²×C₇	1	8	yes	complemented
442	#546	C₂²×C₇	1	8	yes	complemented
443	#546	C₂²×C₇	1	16	yes	complemented
444	#546	C₂²×C₇	1	16	yes	complemented
445	#546	C₂²×C₇	1	16	yes	complemented
446	#546	C₂²×C₇	1	8	yes	complemented
447	D₄²	C₂²×C₇	1	8	yes	complemented
448	D₄²	C₂²×C₇	1	8	yes	complemented
449	D₄²	C₂²×C₇	1	16	yes	complemented
450	D₄²	C₂²×C₇	1	8	yes	complemented
451	D₄²	C₂²×C₇	1	4	yes	complemented
452	D₄²	C₂²×C₇	1	8	yes	complemented
453	#544	C₂²×C₇	1	2	yes	complemented
454	#542	C₂²×C₇	1	8	yes	complemented
455	#542	C₂²×C₇	1	16	yes	complemented
456	#540	C₂²×C₇	1	8	yes	complemented
457	#540	C₂²×C₇	1	16	yes	complemented
458	#538	C₂²×C₇	1	8	yes	complemented
459	#538	C₂²×C₇	1	16	yes	complemented
460	#538	C₂²×C₇	1	16	yes	complemented
461	#538	C₂²×C₇	1	16	yes	complemented
462	#537	C₂²×C₇	1	2	yes	complemented
463	#537	C₂²×C₇	1	4	yes	complemented
464	#537	C₂²×C₇	1	4	yes	complemented
465	#537	C₂²×C₇	1	8	yes	complemented
466	#536	C₂²×C₇	1	4	yes	complemented
467	#536	C₂²×C₇	1	2	yes	complemented
468	#536	C₂²×C₇	1	2	yes	complemented
469	#535	C₂²×C₇	1	4	yes	complemented
470	#535	C₂²×C₇	1	4	yes	complemented
471	#535	C₂²×C₇	1	4	yes	complemented
472	#535	C₂²×C₇	1	4	yes	complemented
473	#535	C₂²×C₇	1	4	yes	complemented
474	#535	C₂²×C₇	1	4	yes	complemented
475	#535	C₂²×C₇	1	16	yes	complemented
476	#535	C₂²×C₇	1	2	yes	complemented
477	#535	C₂²×C₇	1	2	yes	complemented
478	#535	C₂²×C₇	1	16	yes	complemented
479	#535	C₂²×C₇	1	8	yes	complemented
480	#534	C₂²×C₇	1	4	yes	complemented
481	#534	C₂²×C₇	1	8	yes	complemented
482	#534	C₂²×C₇	1	4	yes	complemented
483	#534	C₂²×C₇	1	16	yes	complemented
484	#532	C₂²×C₇	1	4	yes	complemented
485	#532	C₂²×C₇	1	4	yes	complemented
486	#532	C₂²×C₇	1	8	yes	complemented
487	C₂×#127	C₂²×C₇	1	2	yes	complemented
488	#529	C₂²×C₇	1	8	yes	complemented
489	#529	C₂²×C₇	1	8	yes	complemented
490	C₂×#124	C₂²×C₇	1	2	yes	complemented
491	#525	C₂²×C₇	1	4	yes	complemented
492	#525	C₂²×C₇	1	4	yes	complemented
493	#525	C₂²×C₇	1	4	yes	complemented
494	#525	C₂²×C₇	1	4	yes	complemented
495	#525	C₂²×C₇	1	8	yes	complemented
496	C₂×#121	C₂²×C₇	1	4	yes	complemented
497	C₂×#121	C₂²×C₇	1	8	yes	complemented
498	C₂×#120	C₂²×C₇	1	4	yes	complemented
499	C₂×#120	C₂²×C₇	1	8	yes	complemented
500	#520	C₂²×C₇	1	4	yes	complemented
501	#518	C₂²×C₇	1	2	yes	complemented
502	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
503	C₂×#117	C₂²×C₇	1	2	yes	complemented
504	C₂³×C₇	—	2	2	no	—
505	C₂³×C₇	—	2	4	no	—
506	C₂³×C₇	—	2	8	no	—
507	C₂³×C₇	—	4	2	no	—
508	C₂³×C₇	—	4	4	no	—
509	C₂³×C₇	—	4	8	no	—
510	C₂³×C₇	—	4	4	no	—
511	C₂³×C₇	—	4	8	no	—
512	C₂³×C₇	—	4	8	no	—
513	C₂³×C₇	—	4	16	no	—
514	C₂³×C₇	—	4	8	no	—
515	C₂³×C₇	—	4	16	no	—
516	C₂³×C₇	—	8	16	no	—
517	C₂³×C₇	C₂⁵	1	2	yes	—
518	C₂³×C₇	C₂⁵	1	8	yes	—
519	C₂³×C₇	C₂⁵	1	2	yes	—
520	C₂³×C₇	C₂⁵	1	8	yes	—
521	C₂³×C₇	C₂⁵	1	2	yes	—
522	C₂³×C₇	C₂⁵	1	1	yes	characteristic
523	C₇×Q₈	—	2	8	no	—
524	C₇×Q₈	—	4	1	no	—
525	C₇×Q₈	—	4	2	no	—
526	C₇×Q₈	—	4	1	no	—
527	C₇×Q₈	—	4	4	no	—
528	C₇×Q₈	—	4	8	no	—
529	C₇×D₄	—	2	16	no	—
530	C₇×D₄	—	2	16	no	—
531	C₇×D₄	—	2	8	no	—
532	C₇×D₄	—	4	4	no	—
533	C₇×D₄	—	4	4	no	—
534	C₇×D₄	—	4	16	no	—
535	C₇×D₄	—	4	2	no	—
536	C₇×D₄	—	4	2	no	—
537	C₇×D₄	—	4	1	no	—
538	C₇×D₄	—	4	2	no	—
539	C₇×D₄	—	4	1	no	—
540	C₇×D₄	—	4	2	no	—
541	C₇×D₄	—	4	2	no	—
542	C₇×D₄	—	4	4	no	—
543	C₇×D₄	—	4	8	no	—
544	C₇×D₄	—	4	8	no	—
545	C₇×D₄	—	4	16	no	—
546	C₇×D₄	—	4	8	no	—
547	C₇×D₄	—	4	16	no	—
548	C₇×D₄	—	4	8	no	—
549	C₇×D₄	—	4	8	no	—
550	C₇×D₄	—	4	16	no	—
551	C₇×D₄	—	4	16	no	—
552	C₇×D₄	—	4	8	no	—
553	C₂×C₄×C₇	—	2	2	no	—
554	C₂×C₄×C₇	—	2	4	no	—
555	C₂×C₄×C₇	—	2	4	no	—
556	C₂×C₄×C₇	—	2	4	no	—
557	C₂×C₄×C₇	—	2	4	no	—
558	C₂×C₄×C₇	—	2	4	no	—
559	C₂×C₄×C₇	—	2	4	no	—
560	C₂×C₄×C₇	—	2	4	no	—
561	C₂×C₄×C₇	—	2	16	no	—
562	C₂×C₄×C₇	—	4	4	no	—
563	C₂×C₄×C₇	—	4	8	no	—
564	C₂×C₄×C₇	—	4	8	no	—
565	C₂×C₄×C₇	—	4	4	no	—
566	C₂×C₄×C₇	—	4	16	no	—
567	C₂×C₄×C₇	—	4	16	no	—
568	C₂×C₄×C₇	—	4	8	no	—
569	C₂×C₄×C₇	H(5,𝔽₂)	1	4	yes	—
570	C₂×C₄×C₇	C₂⁵	1	8	yes	—
571	C₂×C₄×C₇	C₂⁵	1	2	yes	—
572	C₂×C₄×C₇	C₂⁵	1	8	yes	—
573	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
574	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
575	C₂×C₄×C₇	C₂⁵	1	8	yes	—
576	C₂×C₄×C₇	C₂⁵	1	8	yes	—
577	C₂×C₄×C₇	C₂⁵	1	2	yes	—
578	C₂×C₄×C₇	C₂⁵	1	2	yes	—
579	C₂⁵	C₂³×C₇	1	2	yes	—
580	H(5,𝔽₂)	—	4	8	no	—
581	C₂×#41	—	4	4	no	—
582	C₂×#41	—	4	8	no	—
583	C₂×#41	C₂³×C₇	1	4	yes	—
584	C₂×#41	C₂³×C₇	1	2	yes	—
585	C₂×#41	C₂³×C₇	1	2	yes	—
586	C₂×#41	C₂³×C₇	1	8	yes	—
587	C₂×#41	C₂³×C₇	1	2	yes	—
588	C₂×#41	C₂³×C₇	1	2	yes	—
589	C₂×#41	C₂³×C₇	1	4	yes	—
590	C₂×#41	C₂³×C₇	1	4	yes	complemented
591	C₂×#41	C₂³×C₇	1	4	yes	complemented
592	C₂×#41	C₂³×C₇	1	16	yes	complemented
593	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
594	C₂²×Q₈	C₂³×C₇	1	2	yes	complemented
595	C₂²×D₄	—	4	4	no	—
596	C₂²×D₄	C₂³×C₇	1	2	yes	—
597	C₂²×D₄	C₂³×C₇	1	2	yes	—
598	C₂²×D₄	C₂³×C₇	1	8	yes	—
599	C₂²×D₄	C₂³×C₇	1	8	yes	—
600	C₂²×D₄	C₂³×C₇	1	2	yes	—
601	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
602	C₂²×D₄	C₂³×C₇	1	4	yes	—
603	C₂²×D₄	C₂³×C₇	1	4	yes	—
604	C₂²×D₄	C₂³×C₇	1	4	yes	—
605	C₂²×D₄	C₂³×C₇	1	8	yes	—
606	C₂²×D₄	C₂³×C₇	1	16	yes	—
607	C₂²×D₄	C₂³×C₇	1	2	yes	complemented
608	C₂²×D₄	C₂³×C₇	1	16	yes	complemented
609	C₂³×C₄	C₂³×C₇	1	2	yes	—
610	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
611	C₂³×C₄	C₂³×C₇	1	4	yes	complemented
612	C₄⋊Q₈	C₂³×C₇	1	4	yes	complemented
613	C₄⋊Q₈	C₂³×C₇	1	4	yes	complemented
614	C₄⋊Q₈	C₂³×C₇	1	8	yes	complemented
615	#127	C₂³×C₇	1	8	yes	—
616	#127	C₂³×C₇	1	4	yes	—
617	#127	C₂³×C₇	1	4	yes	—
618	#127	C₂³×C₇	1	4	yes	—
619	#127	C₂³×C₇	1	4	yes	—
620	#127	C₂³×C₇	1	8	yes	—
621	#127	C₂³×C₇	1	16	yes	complemented
622	#126	C₂³×C₇	1	16	yes	—
623	#126	C₂³×C₇	1	16	yes	complemented
624	#126	C₂³×C₇	1	16	yes	complemented
625	#126	C₂³×C₇	1	16	yes	complemented
626	#125	C₂³×C₇	1	8	yes	complemented
627	#125	C₂³×C₇	1	8	yes	complemented
628	#124	C₂³×C₇	1	8	yes	—
629	#124	C₂³×C₇	1	4	yes	—
630	#124	C₂³×C₇	1	4	yes	—
631	#124	C₂³×C₇	1	8	yes	—
632	#124	C₂³×C₇	1	4	yes	—
633	#124	C₂³×C₇	1	4	yes	—
634	#124	C₂³×C₇	1	16	yes	—
635	#124	C₂³×C₇	1	8	yes	complemented
636	#124	C₂³×C₇	1	4	yes	complemented
637	#124	C₂³×C₇	1	4	yes	complemented
638	#124	C₂³×C₇	1	16	yes	complemented
639	#124	C₂³×C₇	1	16	yes	complemented
640	#124	C₂³×C₇	1	16	yes	complemented
641	#123	C₂³×C₇	1	8	yes	—
642	#123	C₂³×C₇	1	4	yes	—
643	#123	C₂³×C₇	1	8	yes	—
644	#123	C₂³×C₇	1	4	yes	—
645	#123	C₂³×C₇	1	16	yes	—
646	#123	C₂³×C₇	1	8	yes	—
647	#123	C₂³×C₇	1	8	yes	—
648	#123	C₂³×C₇	1	4	yes	complemented
649	#123	C₂³×C₇	1	4	yes	complemented
650	#123	C₂³×C₇	1	16	yes	complemented
651	#123	C₂³×C₇	1	16	yes	complemented
652	#123	C₂³×C₇	1	16	yes	complemented
653	#123	C₂³×C₇	1	16	yes	complemented
654	#123	C₂³×C₇	1	16	yes	complemented
655	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
656	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
657	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
658	C₂²⋊Q₈	C₂³×C₇	1	4	yes	complemented
659	C₂²⋊Q₈	C₂³×C₇	1	4	yes	complemented
660	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
661	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
662	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
663	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
664	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
665	#121	C₂³×C₇	1	8	yes	—
666	#121	C₂³×C₇	1	8	yes	—
667	#121	C₂³×C₇	1	8	yes	—
668	#121	C₂³×C₇	1	8	yes	—
669	#121	C₂³×C₇	1	8	yes	—
670	#121	C₂³×C₇	1	8	yes	—
671	#121	C₂³×C₇	1	8	yes	—
672	#121	C₂³×C₇	1	4	yes	—
673	#121	C₂³×C₇	1	4	yes	—
674	#121	C₂³×C₇	1	8	yes	—
675	#121	C₂³×C₇	1	8	yes	—
676	#121	C₂³×C₇	1	8	yes	—
677	#121	C₂³×C₇	1	8	yes	—
678	#121	C₂³×C₇	1	16	yes	—
679	#121	C₂³×C₇	1	16	yes	—
680	#121	C₂³×C₇	1	16	yes	—
681	#121	C₂³×C₇	1	4	yes	complemented
682	#121	C₂³×C₇	1	16	yes	complemented
683	#121	C₂³×C₇	1	8	yes	complemented
684	#121	C₂³×C₇	1	16	yes	complemented
685	#121	C₂³×C₇	1	4	yes	complemented
686	#121	C₂³×C₇	1	8	yes	complemented
687	#121	C₂³×C₇	1	8	yes	complemented
688	#121	C₂³×C₇	1	16	yes	complemented
689	#121	C₂³×C₇	1	16	yes	complemented
690	#121	C₂³×C₇	1	16	yes	complemented
691	#121	C₂³×C₇	1	16	yes	complemented
692	#121	C₂³×C₇	1	16	yes	complemented
693	#121	C₂³×C₇	1	16	yes	complemented
694	#120	C₂³×C₇	1	8	yes	—
695	#120	C₂³×C₇	1	8	yes	—
696	#120	C₂³×C₇	1	16	yes	—
697	#120	C₂³×C₇	1	16	yes	—
698	#120	C₂³×C₇	1	8	yes	—
699	#120	C₂³×C₇	1	8	yes	—
700	#120	C₂³×C₇	1	8	yes	—
701	#120	C₂³×C₇	1	16	yes	—
702	#120	C₂³×C₇	1	4	yes	—
703	#120	C₂³×C₇	1	8	yes	—
704	#120	C₂³×C₇	1	4	yes	—
705	#120	C₂³×C₇	1	8	yes	—
706	#120	C₂³×C₇	1	8	yes	—
707	#120	C₂³×C₇	1	4	yes	complemented
708	#120	C₂³×C₇	1	4	yes	complemented
709	#120	C₂³×C₇	1	16	yes	complemented
710	#120	C₂³×C₇	1	16	yes	complemented
711	#120	C₂³×C₇	1	16	yes	complemented
712	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
713	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
714	C₄×D₄	C₂³×C₇	1	8	yes	—
715	C₄×D₄	C₂³×C₇	1	8	yes	—
716	C₄×D₄	C₂³×C₇	1	16	yes	—
717	C₄×D₄	C₂³×C₇	1	8	yes	—
718	C₄×D₄	C₂³×C₇	1	8	yes	—
719	C₄×D₄	C₂³×C₇	1	8	yes	complemented
720	C₄×D₄	C₂³×C₇	1	8	yes	complemented
721	C₄×D₄	C₂³×C₇	1	8	yes	complemented
722	C₄×D₄	C₂³×C₇	1	16	yes	complemented
723	C₄×D₄	C₂³×C₇	1	16	yes	complemented
724	C₄×D₄	C₂³×C₇	1	8	yes	complemented
725	C₄×D₄	C₂³×C₇	1	16	yes	complemented
726	C₄×D₄	C₂³×C₇	1	16	yes	complemented
727	#117	C₂³×C₇	1	4	yes	—
728	#117	C₂³×C₇	1	4	yes	—
729	#117	C₂³×C₇	1	4	yes	—
730	#117	C₂³×C₇	1	4	yes	—
731	#117	C₂³×C₇	1	4	yes	complemented
732	#117	C₂³×C₇	1	2	yes	complemented
733	#117	C₂³×C₇	1	2	yes	complemented
734	#117	C₂³×C₇	1	8	yes	complemented
735	#117	C₂³×C₇	1	16	yes	complemented
736	#117	C₂³×C₇	1	16	yes	complemented
737	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
738	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	complemented
739	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
740	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
741	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
742	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
743	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
744	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	—
745	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	complemented
746	C₂×C₄²	C₂³×C₇	1	2	yes	—
747	C₂×C₄²	C₂³×C₇	1	4	yes	complemented
748	C₂²×C₇	—	2	2	no	—
749	C₂²×C₇	—	2	2	no	—
750	C₂²×C₇	—	2	2	no	—
751	C₂²×C₇	—	2	2	no	—
752	C₂²×C₇	—	2	8	no	—
753	C₂²×C₇	—	2	8	no	—
754	C₂²×C₇	—	2	4	no	—
755	C₂²×C₇	—	2	8	no	—
756	C₂²×C₇	—	2	16	no	—
757	C₂²×C₇	—	2	4	no	—
758	C₂²×C₇	—	2	8	no	—
759	C₂²×C₇	—	2	4	no	—
760	C₂²×C₇	—	4	4	no	—
761	C₂²×C₇	—	8	4	no	—
762	C₂²×C₇	—	8	8	no	—
763	C₂²×C₇	—	8	8	no	—
764	C₂²×C₇	—	8	16	no	—
765	C₂²×C₇	—	16	8	no	—
766	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
767	C₂²×C₇	C₂⁶	1	1	yes	characteristic
768	C₄×C₇	—	2	2	no	—
769	C₄×C₇	—	2	1	no	—
770	C₄×C₇	—	2	1	no	—
771	C₄×C₇	—	2	2	no	—
772	C₄×C₇	—	2	8	no	—
773	C₄×C₇	—	2	8	no	—
774	C₄×C₇	—	2	8	no	—
775	C₄×C₇	—	2	8	no	—
776	C₄×C₇	C₂×H(5,𝔽₂)	1	4	yes	—
777	C₂⁴	—	4	4	no	—
778	C₂⁴	—	8	4	no	—
779	C₂⁴	C₂⁴×C₇	1	4	yes	—
780	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
781	C₂⁴	C₂⁴×C₇	1	2	yes	—
782	C₂⁴	C₂⁴×C₇	1	8	yes	—
783	C₂⁴	C₂⁴×C₇	1	8	yes	—
784	C₂⁴	C₂⁴×C₇	1	4	yes	—
785	#41	—	2	16	no	—
786	#41	—	4	4	no	—
787	#41	—	4	4	no	—
788	#41	—	4	4	no	—
789	#41	—	4	4	no	—
790	#41	—	4	8	no	—
791	#41	—	4	8	no	—
792	#41	—	4	8	no	—
793	#41	—	4	16	no	—
794	#41	—	8	16	no	—
795	C₂×Q₈	—	4	2	no	—
796	C₂×Q₈	—	4	4	no	—
797	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
798	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
799	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
800	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
801	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
802	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
803	C₂×D₄	—	2	8	no	—
804	C₂×D₄	—	4	8	no	—
805	C₂×D₄	—	4	8	no	—
806	C₂×D₄	—	4	16	no	—
807	C₂×D₄	—	4	4	no	—
808	C₂×D₄	—	4	4	no	—
809	C₂×D₄	—	4	2	no	—
810	C₂×D₄	—	4	4	no	—
811	C₂×D₄	—	4	8	no	—
812	C₂×D₄	—	4	16	no	—
813	C₂×D₄	—	8	8	no	—
814	C₂×D₄	—	8	16	no	—
815	C₂×D₄	—	8	16	no	—
816	C₂×D₄	C₂⁴×C₇	1	8	yes	—
817	C₂×D₄	C₂⁴×C₇	1	8	yes	—
818	C₂×D₄	C₂⁴×C₇	1	4	yes	—
819	C₂×D₄	C₂⁴×C₇	1	8	yes	—
820	C₂×D₄	C₂⁴×C₇	1	8	yes	—
821	C₂×D₄	C₂⁴×C₇	1	16	yes	—
822	C₂×D₄	C₂⁴×C₇	1	16	yes	—
823	C₂×D₄	C₂⁴×C₇	1	16	yes	—
824	C₂×D₄	C₂⁴×C₇	1	16	yes	—
825	C₂×D₄	C₂⁴×C₇	1	8	yes	—
826	C₂×D₄	C₂⁴×C₇	1	8	yes	—
827	C₂×D₄	C₂⁴×C₇	1	8	yes	—
828	C₂×D₄	C₂⁴×C₇	1	2	yes	—
829	C₂×D₄	C₂⁴×C₇	1	2	yes	—
830	C₂×D₄	C₂⁴×C₇	1	2	yes	—
831	C₂×D₄	C₂⁴×C₇	1	2	yes	—
832	C₂×D₄	C₂⁴×C₇	1	16	yes	—
833	C₂×D₄	C₂⁴×C₇	1	4	yes	—
834	C₂×D₄	C₂⁴×C₇	1	4	yes	—
835	C₂×D₄	C₂⁴×C₇	1	4	yes	—
836	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
837	C₂×D₄	C₂⁴×C₇	1	8	yes	—
838	C₂×D₄	C₂⁴×C₇	1	2	yes	—
839	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
840	C₂²×C₄	—	2	4	no	—
841	C₂²×C₄	—	2	8	no	—
842	C₂²×C₄	—	4	8	no	—
843	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
844	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
845	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
846	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
847	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
848	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
849	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
850	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
851	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
852	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
853	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
854	C₂²×C₄	C₂⁴×C₇	1	16	yes	—
855	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
856	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
857	C₂²×C₄	C₂⁴×C₇	1	16	yes	—
858	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
859	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
860	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
861	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
862	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
863	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
864	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
865	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
866	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
867	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
868	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
869	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
870	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
871	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
872	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
873	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
874	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
875	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
876	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
877	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
878	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
879	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
880	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
881	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
882	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
883	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
884	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
885	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
886	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
887	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
888	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
889	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
890	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
891	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
892	C₄²	C₂⁴×C₇	1	4	yes	—
893	C₄²	C₂⁴×C₇	1	4	yes	—
894	C₄²	C₂⁴×C₇	1	4	yes	—
895	C₄²	C₂⁴×C₇	1	8	yes	—
896	C₄²	C₂⁴×C₇	1	4	yes	—
897	C₄²	C₂⁴×C₇	1	16	yes	—
898	C₂×C₇	—	2	2	no	—
899	C₂×C₇	—	4	2	no	—
900	C₂×C₇	—	4	2	no	—
901	C₂×C₇	—	4	2	no	—
902	C₂×C₇	—	4	8	no	—
903	C₂×C₇	—	4	8	no	—
904	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
905	C₂×C₇	H(7,𝔽₂)	1	2	yes	—
906	C₂³	—	2	2	no	—
907	C₂³	—	2	4	no	—
908	C₂³	—	2	8	no	—
909	C₂³	—	4	2	no	—
910	C₂³	—	4	4	no	—
911	C₂³	—	4	8	no	—
912	C₂³	—	4	4	no	—
913	C₂³	—	4	8	no	—
914	C₂³	—	4	8	no	—
915	C₂³	—	4	16	no	—
916	C₂³	—	4	8	no	—
917	C₂³	—	4	16	no	—
918	C₂³	—	8	16	no	—
919	C₂³	C₂⁵×C₇	1	2	yes	—
920	C₂³	C₂⁵×C₇	1	8	yes	—
921	C₂³	C₂⁵×C₇	1	2	yes	—
922	C₂³	C₂⁵×C₇	1	8	yes	—
923	C₂³	C₂⁵×C₇	1	2	yes	—
924	C₂³	C₂⁵×C₇	1	1	yes	characteristic
925	Q₈	—	2	8	no	—
926	Q₈	—	4	1	no	—
927	Q₈	—	4	2	no	—
928	Q₈	—	4	1	no	—
929	Q₈	—	4	4	no	—
930	Q₈	—	4	8	no	—
931	D₄	—	2	16	no	—
932	D₄	—	2	16	no	—
933	D₄	—	2	8	no	—
934	D₄	—	4	4	no	—
935	D₄	—	4	4	no	—
936	D₄	—	4	16	no	—
937	D₄	—	4	2	no	—
938	D₄	—	4	2	no	—
939	D₄	—	4	1	no	—
940	D₄	—	4	2	no	—
941	D₄	—	4	1	no	—
942	D₄	—	4	2	no	—
943	D₄	—	4	2	no	—
944	D₄	—	4	4	no	—
945	D₄	—	4	8	no	—
946	D₄	—	4	8	no	—
947	D₄	—	4	16	no	—
948	D₄	—	4	8	no	—
949	D₄	—	4	16	no	—
950	D₄	—	4	8	no	—
951	D₄	—	4	8	no	—
952	D₄	—	4	16	no	—
953	D₄	—	4	16	no	—
954	D₄	—	4	8	no	—
955	C₂×C₄	—	2	2	no	—
956	C₂×C₄	—	2	4	no	—
957	C₂×C₄	—	2	4	no	—
958	C₂×C₄	—	2	4	no	—
959	C₂×C₄	—	2	4	no	—
960	C₂×C₄	—	2	4	no	—
961	C₂×C₄	—	2	4	no	—
962	C₂×C₄	—	2	4	no	—
963	C₂×C₄	—	2	16	no	—
964	C₂×C₄	—	4	4	no	—
965	C₂×C₄	—	4	8	no	—
966	C₂×C₄	—	4	8	no	—
967	C₂×C₄	—	4	4	no	—
968	C₂×C₄	—	4	16	no	—
969	C₂×C₄	—	4	16	no	—
970	C₂×C₄	—	4	8	no	—
971	C₂×C₄	C₇×H(5,𝔽₂)	1	4	yes	—
972	C₂×C₄	C₂⁵×C₇	1	8	yes	—
973	C₂×C₄	C₂⁵×C₇	1	2	yes	—
974	C₂×C₄	C₂⁵×C₇	1	8	yes	—
975	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
976	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
977	C₂×C₄	C₂⁵×C₇	1	8	yes	—
978	C₂×C₄	C₂⁵×C₇	1	8	yes	—
979	C₂×C₄	C₂⁵×C₇	1	2	yes	—
980	C₂×C₄	C₂⁵×C₇	1	2	yes	—
981	C₇	#62874	1	1	yes	characteristic, direct product factor, Sylow
982	C₂²	—	2	2	no	—
983	C₂²	—	2	2	no	—
984	C₂²	—	2	2	no	—
985	C₂²	—	2	2	no	—
986	C₂²	—	2	8	no	—
987	C₂²	—	2	8	no	—
988	C₂²	—	2	4	no	—
989	C₂²	—	2	8	no	—
990	C₂²	—	2	16	no	—
991	C₂²	—	2	4	no	—
992	C₂²	—	2	8	no	—
993	C₂²	—	2	4	no	—
994	C₂²	—	4	4	no	—
995	C₂²	—	8	8	no	—
996	C₂²	—	8	4	no	—
997	C₂²	—	8	16	no	—
998	C₂²	—	8	8	no	—
999	C₂²	—	16	8	no	—
1000	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1001	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1002	C₄	—	2	2	no	—
1003	C₄	—	2	1	no	—
1004	C₄	—	2	1	no	—
1005	C₄	—	2	2	no	—
1006	C₄	—	2	8	no	—
1007	C₄	—	2	8	no	—
1008	C₄	—	2	8	no	—
1009	C₄	—	2	8	no	—
1010	C₄	C₂×C₇×H(5,𝔽₂)	1	4	yes	—
1011	C₂	—	2	2	no	—
1012	C₂	—	4	2	no	—
1013	C₂	—	4	8	no	—
1014	C₂	—	4	2	no	—
1015	C₂	—	4	8	no	—
1016	C₂	—	4	2	no	—
1017	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1018	C₂	C₇×H(7,𝔽₂)	1	2	yes	—

	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×#3549	C₂	semidirect
3. C₇×#3546	C₂	semidirect
4. C₇×#3545	C₂	semidirect
5. C₇×#3543	C₂	semidirect
6. C₇×#3542	C₂	semidirect
7. C₇×#3540	C₂	semidirect
8. C₇×#3537	C₂	semidirect
9. C₇×#3532	C₂	semidirect
10. C₇×#3494	C₂	semidirect
11. C₇×#3493	C₂	semidirect
12. C₇×#3488	C₂	semidirect
13. C₇×#3484	C₂	semidirect
14. C₇×#3449	C₂	semidirect
15. C₂×C₇×#535	C₂	semidirect
16. C₂×C₇×H(5,𝔽₂)	C₂²	semidirect
17. C₂²×C₇×#41	C₂²	semidirect
18. C₂²×C₇×#41	C₂²	semidirect
19. C₂³×C₇×D₄	C₂²	semidirect
20. C₇×#563	C₂²	semidirect
21. C₇×#562	C₂²	semidirect
22. C₇×H(3,𝔽₄)	C₂²	semidirect
23. C₇×H(3,𝔽₄)	C₂²	semidirect
24. C₇×#560	C₂²	semidirect
25. C₇×#560	C₂²	semidirect
26. C₇×#560	C₂²	semidirect
27. C₇×#560	C₂²	semidirect
28. C₇×#559	C₂²	semidirect
29. C₇×#556	C₂²	semidirect
30. C₇×#555	C₂²	semidirect
31. C₇×#555	C₂²	semidirect
32. C₇×#555	C₂²	semidirect
33. C₇×#553	C₂²	semidirect
34. C₇×#553	C₂²	semidirect
35. C₇×#553	C₂²	semidirect
36. C₇×#552	C₂²	semidirect
37. C₇×#551	C₂²	semidirect
38. C₇×#551	C₂²	semidirect
39. C₇×#551	C₂²	semidirect
40. C₇×#550	C₂²	semidirect
41. C₇×#550	C₂²	semidirect
42. C₇×#548	C₂²	semidirect
43. C₇×#547	C₂²	semidirect
44. C₇×#546	C₂²	semidirect
45. C₇×#546	C₂²	semidirect
46. C₇×#546	C₂²	semidirect
47. C₇×#546	C₂²	semidirect
48. C₇×#546	C₂²	semidirect
49. C₇×#546	C₂²	semidirect
50. C₇×D₄²	C₂²	semidirect
51. C₇×D₄²	C₂²	semidirect
52. C₇×D₄²	C₂²	semidirect
53. C₇×D₄²	C₂²	semidirect
54. C₇×D₄²	C₂²	semidirect
55. C₇×D₄²	C₂²	semidirect
56. C₇×#544	C₂²	semidirect
57. C₇×#542	C₂²	semidirect
58. C₇×#542	C₂²	semidirect
59. C₇×#540	C₂²	semidirect
60. C₇×#540	C₂²	semidirect
61. C₇×#538	C₂²	semidirect
62. C₇×#538	C₂²	semidirect
63. C₇×#538	C₂²	semidirect
64. C₇×#538	C₂²	semidirect
65. C₇×#537	C₂²	semidirect
66. C₇×#537	C₂²	semidirect
67. C₇×#537	C₂²	semidirect
68. C₇×#537	C₂²	semidirect
69. C₇×#536	C₂²	semidirect
70. C₇×#536	C₂²	semidirect
71. C₇×#536	C₂²	semidirect
72. C₇×#535	C₂²	semidirect
73. C₇×#535	C₂²	semidirect
74. C₇×#535	C₂²	semidirect
75. C₇×#535	C₂²	semidirect
76. C₇×#535	C₂²	semidirect
77. C₇×#535	C₂²	semidirect
78. C₇×#535	C₂²	semidirect
79. C₇×#535	C₂²	semidirect
80. C₇×#535	C₂²	semidirect
81. C₇×#535	C₂²	semidirect
82. C₇×#535	C₂²	semidirect
83. C₇×#534	C₂²	semidirect
84. C₇×#534	C₂²	semidirect
85. C₇×#534	C₂²	semidirect
86. C₇×#534	C₂²	semidirect
87. C₇×#532	C₂²	semidirect
88. C₇×#532	C₂²	semidirect
89. C₇×#532	C₂²	semidirect
90. C₂×C₇×#127	C₂²	semidirect
91. C₇×#529	C₂²	semidirect
92. C₇×#529	C₂²	semidirect
93. C₂×C₇×#124	C₂²	semidirect
94. C₇×#525	C₂²	semidirect
95. C₇×#525	C₂²	semidirect
96. C₇×#525	C₂²	semidirect
97. C₇×#525	C₂²	semidirect
98. C₇×#525	C₂²	semidirect
99. C₂×C₇×#121	C₂²	semidirect
100. C₂×C₇×#121	C₂²	semidirect
101. C₂×C₇×#120	C₂²	semidirect
102. C₂×C₇×#120	C₂²	semidirect
103. C₇×#520	C₂²	semidirect
104. C₇×#518	C₂²	semidirect
105. C₂×C₇×#117	C₂²	semidirect
106. C₂×C₇×#117	C₂²	semidirect
107. #62874	C₇	direct (N × H)
119. C₂×C₇×#41	C₂³	semidirect
120. C₂×C₇×#41	C₂³	semidirect
121. C₂×C₇×#41	C₂³	semidirect
123. C₂²×C₇×Q₈	C₂³	semidirect
136. C₂²×C₇×D₄	C₂³	semidirect
137. C₂²×C₇×D₄	C₂³	semidirect
140. C₂³×C₄×C₇	C₂³	semidirect
141. C₇×C₄⋊Q₈	C₂³	semidirect
142. C₇×C₄⋊Q₈	C₂³	semidirect
143. C₇×C₄⋊Q₈	C₂³	semidirect
150. C₇×#127	C₂³	semidirect
152. C₇×#126	C₂³	semidirect
153. C₇×#126	C₂³	semidirect
154. C₇×#126	C₂³	semidirect
155. C₇×#125	C₂³	semidirect
156. C₇×#125	C₂³	semidirect
164. C₇×#124	C₂³	semidirect
165. C₇×#124	C₂³	semidirect
166. C₇×#124	C₂³	semidirect
167. C₇×#124	C₂³	semidirect
168. C₇×#124	C₂³	semidirect
169. C₇×#124	C₂³	semidirect
177. C₇×#123	C₂³	semidirect
178. C₇×#123	C₂³	semidirect
179. C₇×#123	C₂³	semidirect
180. C₇×#123	C₂³	semidirect
181. C₇×#123	C₂³	semidirect
182. C₇×#123	C₂³	semidirect
183. C₇×#123	C₂³	semidirect
187. C₇×C₂²⋊Q₈	C₂³	semidirect
188. C₇×C₂²⋊Q₈	C₂³	semidirect
189. C₇×C₂²⋊Q₈	C₂³	semidirect
190. C₇×C₂²⋊Q₈	C₂³	semidirect
191. C₇×C₂²⋊Q₈	C₂³	semidirect
192. C₇×C₂²⋊Q₈	C₂³	semidirect
193. C₇×C₂²⋊Q₈	C₂³	semidirect
210. C₇×#121	C₂³	semidirect
211. C₇×#121	C₂³	semidirect
212. C₇×#121	C₂³	semidirect
213. C₇×#121	C₂³	semidirect
214. C₇×#121	C₂³	semidirect
215. C₇×#121	C₂³	semidirect
216. C₇×#121	C₂³	semidirect
217. C₇×#121	C₂³	semidirect
218. C₇×#121	C₂³	semidirect
219. C₇×#121	C₂³	semidirect
220. C₇×#121	C₂³	semidirect
221. C₇×#121	C₂³	semidirect
222. C₇×#121	C₂³	semidirect
236. C₇×#120	C₂³	semidirect
237. C₇×#120	C₂³	semidirect
238. C₇×#120	C₂³	semidirect
239. C₇×#120	C₂³	semidirect
240. C₇×#120	C₂³	semidirect
241. C₄×C₇×Q₈	C₂³	semidirect
242. C₄×C₇×Q₈	C₂³	semidirect
248. C₄×C₇×D₄	C₂³	semidirect
249. C₄×C₇×D₄	C₂³	semidirect
250. C₄×C₇×D₄	C₂³	semidirect
251. C₄×C₇×D₄	C₂³	semidirect
252. C₄×C₇×D₄	C₂³	semidirect
253. C₄×C₇×D₄	C₂³	semidirect
254. C₄×C₇×D₄	C₂³	semidirect
255. C₄×C₇×D₄	C₂³	semidirect
260. C₇×#117	C₂³	semidirect
261. C₇×#117	C₂³	semidirect
262. C₇×#117	C₂³	semidirect
263. C₇×#117	C₂³	semidirect
264. C₇×#117	C₂³	semidirect
265. C₇×#117	C₂³	semidirect
267. C₂×C₇×C₄⋊C₄	C₂³	semidirect
268. C₂×C₇×C₄⋊C₄	C₂³	semidirect
274. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
276. C₂×C₄²×C₇	C₂³	semidirect
277. #3551	C₂×C₇	semidirect
278. #3549	C₂×C₇	semidirect
279. #3546	C₂×C₇	semidirect
280. #3545	C₂×C₇	semidirect
281. #3543	C₂×C₇	semidirect
282. #3542	C₂×C₇	semidirect
283. #3540	C₂×C₇	semidirect
284. #3537	C₂×C₇	semidirect
285. #3532	C₂×C₇	semidirect
286. #3494	C₂×C₇	semidirect
287. #3493	C₂×C₇	semidirect
288. #3488	C₂×C₇	semidirect
289. #3484	C₂×C₇	semidirect
290. #3449	C₂×C₇	semidirect
291. C₂×#535	C₂×C₇	semidirect
413. C₂×H(5,𝔽₂)	C₂²×C₇	semidirect
414. C₂²×#41	C₂²×C₇	semidirect
415. C₂²×#41	C₂²×C₇	semidirect
416. C₂³×D₄	C₂²×C₇	semidirect
417. #563	C₂²×C₇	semidirect
418. #562	C₂²×C₇	semidirect
419. H(3,𝔽₄)	C₂²×C₇	semidirect
420. H(3,𝔽₄)	C₂²×C₇	semidirect
421. #560	C₂²×C₇	semidirect
422. #560	C₂²×C₇	semidirect
423. #560	C₂²×C₇	semidirect
424. #560	C₂²×C₇	semidirect
425. #559	C₂²×C₇	semidirect
426. #556	C₂²×C₇	semidirect
427. #555	C₂²×C₇	semidirect
428. #555	C₂²×C₇	semidirect
429. #555	C₂²×C₇	semidirect
430. #553	C₂²×C₇	semidirect
431. #553	C₂²×C₇	semidirect
432. #553	C₂²×C₇	semidirect
433. #552	C₂²×C₇	semidirect
434. #551	C₂²×C₇	semidirect
435. #551	C₂²×C₇	semidirect
436. #551	C₂²×C₇	semidirect
437. #550	C₂²×C₇	semidirect
438. #550	C₂²×C₇	semidirect
439. #548	C₂²×C₇	semidirect
440. #547	C₂²×C₇	semidirect
441. #546	C₂²×C₇	semidirect
442. #546	C₂²×C₇	semidirect
443. #546	C₂²×C₇	semidirect
444. #546	C₂²×C₇	semidirect
445. #546	C₂²×C₇	semidirect
446. #546	C₂²×C₇	semidirect
447. D₄²	C₂²×C₇	semidirect
448. D₄²	C₂²×C₇	semidirect
449. D₄²	C₂²×C₇	semidirect
450. D₄²	C₂²×C₇	semidirect
451. D₄²	C₂²×C₇	semidirect
452. D₄²	C₂²×C₇	semidirect
453. #544	C₂²×C₇	semidirect
454. #542	C₂²×C₇	semidirect
455. #542	C₂²×C₇	semidirect
456. #540	C₂²×C₇	semidirect
457. #540	C₂²×C₇	semidirect
458. #538	C₂²×C₇	semidirect
459. #538	C₂²×C₇	semidirect
460. #538	C₂²×C₇	semidirect
461. #538	C₂²×C₇	semidirect
462. #537	C₂²×C₇	semidirect
463. #537	C₂²×C₇	semidirect
464. #537	C₂²×C₇	semidirect
465. #537	C₂²×C₇	semidirect
466. #536	C₂²×C₇	semidirect
467. #536	C₂²×C₇	semidirect
468. #536	C₂²×C₇	semidirect
469. #535	C₂²×C₇	semidirect
470. #535	C₂²×C₇	semidirect
471. #535	C₂²×C₇	semidirect
472. #535	C₂²×C₇	semidirect
473. #535	C₂²×C₇	semidirect
474. #535	C₂²×C₇	semidirect
475. #535	C₂²×C₇	semidirect
476. #535	C₂²×C₇	semidirect
477. #535	C₂²×C₇	semidirect
478. #535	C₂²×C₇	semidirect
479. #535	C₂²×C₇	semidirect
480. #534	C₂²×C₇	semidirect
481. #534	C₂²×C₇	semidirect
482. #534	C₂²×C₇	semidirect
483. #534	C₂²×C₇	semidirect
484. #532	C₂²×C₇	semidirect
485. #532	C₂²×C₇	semidirect
486. #532	C₂²×C₇	semidirect
487. C₂×#127	C₂²×C₇	semidirect
488. #529	C₂²×C₇	semidirect
489. #529	C₂²×C₇	semidirect
490. C₂×#124	C₂²×C₇	semidirect
491. #525	C₂²×C₇	semidirect
492. #525	C₂²×C₇	semidirect
493. #525	C₂²×C₇	semidirect
494. #525	C₂²×C₇	semidirect
495. #525	C₂²×C₇	semidirect
496. C₂×#121	C₂²×C₇	semidirect
497. C₂×#121	C₂²×C₇	semidirect
498. C₂×#120	C₂²×C₇	semidirect
499. C₂×#120	C₂²×C₇	semidirect
500. #520	C₂²×C₇	semidirect
501. #518	C₂²×C₇	semidirect
502. C₂×#117	C₂²×C₇	semidirect
503. C₂×#117	C₂²×C₇	semidirect
590. C₂×#41	C₂³×C₇	semidirect
591. C₂×#41	C₂³×C₇	semidirect
592. C₂×#41	C₂³×C₇	semidirect
594. C₂²×Q₈	C₂³×C₇	semidirect
607. C₂²×D₄	C₂³×C₇	semidirect
608. C₂²×D₄	C₂³×C₇	semidirect
611. C₂³×C₄	C₂³×C₇	semidirect
612. C₄⋊Q₈	C₂³×C₇	semidirect
613. C₄⋊Q₈	C₂³×C₇	semidirect
614. C₄⋊Q₈	C₂³×C₇	semidirect
621. #127	C₂³×C₇	semidirect
623. #126	C₂³×C₇	semidirect
624. #126	C₂³×C₇	semidirect
625. #126	C₂³×C₇	semidirect
626. #125	C₂³×C₇	semidirect
627. #125	C₂³×C₇	semidirect
635. #124	C₂³×C₇	semidirect
636. #124	C₂³×C₇	semidirect
637. #124	C₂³×C₇	semidirect
638. #124	C₂³×C₇	semidirect
639. #124	C₂³×C₇	semidirect
640. #124	C₂³×C₇	semidirect
648. #123	C₂³×C₇	semidirect
649. #123	C₂³×C₇	semidirect
650. #123	C₂³×C₇	semidirect
651. #123	C₂³×C₇	semidirect
652. #123	C₂³×C₇	semidirect
653. #123	C₂³×C₇	semidirect
654. #123	C₂³×C₇	semidirect
658. C₂²⋊Q₈	C₂³×C₇	semidirect
659. C₂²⋊Q₈	C₂³×C₇	semidirect
660. C₂²⋊Q₈	C₂³×C₇	semidirect
661. C₂²⋊Q₈	C₂³×C₇	semidirect
662. C₂²⋊Q₈	C₂³×C₇	semidirect
663. C₂²⋊Q₈	C₂³×C₇	semidirect
664. C₂²⋊Q₈	C₂³×C₇	semidirect
681. #121	C₂³×C₇	semidirect
682. #121	C₂³×C₇	semidirect
683. #121	C₂³×C₇	semidirect
684. #121	C₂³×C₇	semidirect
685. #121	C₂³×C₇	semidirect
686. #121	C₂³×C₇	semidirect
687. #121	C₂³×C₇	semidirect
688. #121	C₂³×C₇	semidirect
689. #121	C₂³×C₇	semidirect
690. #121	C₂³×C₇	semidirect
691. #121	C₂³×C₇	semidirect
692. #121	C₂³×C₇	semidirect
693. #121	C₂³×C₇	semidirect
707. #120	C₂³×C₇	semidirect
708. #120	C₂³×C₇	semidirect
709. #120	C₂³×C₇	semidirect
710. #120	C₂³×C₇	semidirect
711. #120	C₂³×C₇	semidirect
712. C₄×Q₈	C₂³×C₇	semidirect
713. C₄×Q₈	C₂³×C₇	semidirect
719. C₄×D₄	C₂³×C₇	semidirect
720. C₄×D₄	C₂³×C₇	semidirect
721. C₄×D₄	C₂³×C₇	semidirect
722. C₄×D₄	C₂³×C₇	semidirect
723. C₄×D₄	C₂³×C₇	semidirect
724. C₄×D₄	C₂³×C₇	semidirect
725. C₄×D₄	C₂³×C₇	semidirect
726. C₄×D₄	C₂³×C₇	semidirect
731. #117	C₂³×C₇	semidirect
732. #117	C₂³×C₇	semidirect
733. #117	C₂³×C₇	semidirect
734. #117	C₂³×C₇	semidirect
735. #117	C₂³×C₇	semidirect
736. #117	C₂³×C₇	semidirect
738. C₂×C₄⋊C₄	C₂³×C₇	semidirect
739. C₂×C₄⋊C₄	C₂³×C₇	semidirect
745. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
747. C₂×C₄²	C₂³×C₇	semidirect
981. C₇	#62874	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×#3549	2
C₇×#3546	2
C₇×#3545	2
C₇×#3543	2
C₇×#3542	2
C₇×#3540	2
C₇×#3537	2
C₇×#3532	2
C₇×#3494	2
C₇×#3493	2
C₇×#3488	2
C₇×#3484	2
C₇×#3449	2
C₂×C₇×#535	2
#62874	7

Subgroups — C7×#62874 #13240090

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62874 #13240090