Subgroups — C₇×#62773 #13239989

Order 1792.

7998 conjugacy classes of subgroups.

The subgroup lattice has 1190 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3520	C₂	1	4	yes	maximal, complemented
2	C₇×#3519	C₂	1	4	yes	maximal, complemented
3	C₇×#3513	C₂	1	8	yes	maximal, complemented
4	C₇×#3506	C₂	1	2	yes	maximal, complemented
5	C₇×#3505	C₂	1	4	yes	maximal, complemented
6	C₇×#3501	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3496	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3492	C₂	1	2	yes	maximal, complemented
9	C₇×#3490	C₂	1	4	yes	maximal, complemented
10	C₇×#3484	C₂	1	2	yes	maximal, complemented
11	C₇×#3481	C₂	1	8	yes	maximal, complemented
12	C₇×#3475	C₂	1	4	yes	maximal, complemented
13	C₇×D₄×#41	C₂	1	4	yes	maximal, complemented
14	C₇×#3460	C₂	1	2	yes	maximal, complemented
15	C₇×#3459	C₂	1	4	yes	maximal, complemented
16	C₇×#3444	C₂	1	2	yes	maximal, complemented
17	C₂×C₇×#525	C₂	1	4	yes	maximal, complemented
18	C₄×C₇×H(5,𝔽₂)	C₂	1	2	yes	maximal, complemented
19	C₂²×C₄×C₇×D₄	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₇×H(5,𝔽₂)	C₂²	1	2	yes	—
21	C₂²×C₇×#41	C₂²	1	4	yes	complemented
22	C₂³×C₇×D₄	C₂²	1	1	yes	characteristic
23	C₂⁴×C₄×C₇	C₂²	1	2	yes	complemented
24	C₇×#559	C₂²	1	8	yes	complemented
25	C₇×#556	C₂²	1	4	yes	complemented
26	C₇×#555	C₂²	1	4	yes	complemented
27	C₇×#554	C₂²	1	8	yes	complemented
28	C₇×#554	C₂²	1	4	yes	complemented
29	C₇×#554	C₂²	1	8	yes	complemented
30	C₇×#553	C₂²	1	8	yes	complemented
31	C₇×#553	C₂²	1	8	yes	complemented
32	C₇×#553	C₂²	1	16	yes	complemented
33	C₇×#553	C₂²	1	8	yes	complemented
34	C₇×#552	C₂²	1	8	yes	complemented
35	C₇×#552	C₂²	1	8	yes	complemented
36	C₇×#551	C₂²	1	16	yes	complemented
37	C₇×#551	C₂²	1	16	yes	complemented
38	C₇×#551	C₂²	1	16	yes	complemented
39	C₇×#550	C₂²	1	4	yes	complemented
40	C₇×D₄×Q₈	C₂²	1	4	yes	complemented
41	C₇×#548	C₂²	1	8	yes	complemented
42	C₇×#547	C₂²	1	8	yes	complemented
43	C₇×#547	C₂²	1	4	yes	complemented
44	C₇×#547	C₂²	1	4	yes	complemented
45	C₇×#546	C₂²	1	8	yes	complemented
46	C₇×#546	C₂²	1	8	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×#546	C₂²	1	8	yes	complemented
51	C₇×D₄²	C₂²	1	8	yes	complemented
52	C₇×D₄²	C₂²	1	8	yes	complemented
53	C₇×D₄²	C₂²	1	4	yes	complemented
54	C₇×#544	C₂²	1	2	yes	complemented
55	C₇×#543	C₂²	1	4	yes	complemented
56	C₇×#542	C₂²	1	8	yes	complemented
57	C₇×#540	C₂²	1	8	yes	complemented
58	C₇×#539	C₂²	1	8	yes	complemented
59	C₇×#539	C₂²	1	16	yes	complemented
60	C₇×#538	C₂²	1	8	yes	complemented
61	C₇×#538	C₂²	1	8	yes	complemented
62	C₇×#538	C₂²	1	16	yes	complemented
63	C₇×#537	C₂²	1	2	yes	complemented
64	C₇×#535	C₂²	1	4	yes	complemented
65	C₇×#534	C₂²	1	8	yes	complemented
66	C₇×#534	C₂²	1	4	yes	complemented
67	C₇×#533	C₂²	1	2	yes	complemented
68	C₇×#533	C₂²	1	2	yes	complemented
69	C₇×#533	C₂²	1	2	yes	complemented
70	C₇×#532	C₂²	1	2	yes	complemented
71	C₇×#532	C₂²	1	2	yes	complemented
72	C₇×#532	C₂²	1	2	yes	complemented
73	C₇×#532	C₂²	1	8	yes	complemented
74	C₇×#529	C₂²	1	4	yes	complemented
75	C₇×#529	C₂²	1	4	yes	complemented
76	C₇×#529	C₂²	1	4	yes	complemented
77	C₇×#529	C₂²	1	4	yes	complemented
78	C₇×#529	C₂²	1	4	yes	complemented
79	C₇×#529	C₂²	1	4	yes	complemented
80	C₇×#529	C₂²	1	16	yes	complemented
81	C₇×#529	C₂²	1	8	yes	complemented
82	C₇×#525	C₂²	1	4	yes	complemented
83	C₇×#525	C₂²	1	8	yes	complemented
84	C₇×#525	C₂²	1	4	yes	complemented
85	C₇×#525	C₂²	1	4	yes	complemented
86	C₇×#525	C₂²	1	8	yes	complemented
87	C₇×#525	C₂²	1	8	yes	complemented
88	C₇×#525	C₂²	1	8	yes	complemented
89	C₇×#525	C₂²	1	8	yes	complemented
90	C₇×#525	C₂²	1	8	yes	complemented
91	C₇×#525	C₂²	1	8	yes	complemented
92	C₇×#525	C₂²	1	16	yes	complemented
93	C₂×C₇×#123	C₂²	1	8	yes	complemented
94	C₂×C₇×C₂²⋊Q₈	C₂²	1	4	yes	complemented
95	C₂×C₇×C₂²⋊Q₈	C₂²	1	4	yes	complemented
96	C₂×C₇×#121	C₂²	1	4	yes	complemented
97	C₂×C₇×#121	C₂²	1	4	yes	complemented
98	C₂×C₇×#120	C₂²	1	8	yes	complemented
99	C₇×#520	C₂²	1	4	yes	complemented
100	C₇×#520	C₂²	1	8	yes	complemented
101	C₇×#518	C₂²	1	2	yes	—
102	C₇×#518	C₂²	1	8	yes	complemented
103	C₇×#518	C₂²	1	8	yes	complemented
104	C₄×C₇×#41	C₂²	1	4	yes	complemented
105	C₄×C₇×#41	C₂²	1	4	yes	complemented
106	C₄×C₇×#41	C₂²	1	4	yes	complemented
107	C₄×C₇×#41	C₂²	1	8	yes	complemented
108	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
109	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
110	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
111	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
112	C₂×C₄×C₇×D₄	C₂²	1	4	yes	complemented
113	C₂×C₄×C₇×D₄	C₂²	1	4	yes	complemented
114	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
115	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₄×C₇×D₄	C₂²	1	4	yes	complemented
117	C₂×C₄×C₇×D₄	C₂²	1	4	yes	complemented
118	C₂×C₄×C₇×D₄	C₂²	1	8	yes	complemented
119	C₂×C₄×C₇×D₄	C₂²	1	8	yes	complemented
120	C₂×C₄×C₇×D₄	C₂²	1	8	yes	complemented
121	C₂×C₇×#117	C₂²	1	4	yes	complemented
122	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
123	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
124	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic, complemented
125	#62773	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
126	C₂⁵×C₇	C₂³	1	2	yes	—
127	C₇×H(5,𝔽₂)	—	2	16	no	—
128	C₂×C₇×#41	—	4	16	no	—
129	C₂×C₇×#41	C₂³	1	4	yes	—
130	C₂×C₇×#41	C₂³	1	4	yes	—
131	C₂×C₇×#41	C₂³	1	8	yes	—
132	C₂×C₇×#41	C₂³	1	8	yes	—
133	C₂×C₇×#41	C₂³	1	4	yes	—
134	C₂×C₇×#41	C₂³	1	8	yes	complemented
135	C₂×C₇×#41	C₂³	1	8	yes	complemented
136	C₂²×C₇×Q₈	C₂³	1	4	yes	complemented
137	C₂²×C₇×D₄	—	2	8	no	—
138	C₂²×C₇×D₄	C₂³	1	2	yes	—
139	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
140	C₂²×C₇×D₄	C₂³	1	4	yes	—
141	C₂²×C₇×D₄	C₂³	1	4	yes	—
142	C₂²×C₇×D₄	C₂³	1	8	yes	—
143	C₂²×C₇×D₄	C₂³	1	8	yes	—
144	C₂²×C₇×D₄	C₂³	1	8	yes	—
145	C₂²×C₇×D₄	C₂³	1	8	yes	—
146	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
147	C₂²×C₇×D₄	C₂³	1	4	yes	complemented
148	C₂³×C₄×C₇	—	4	8	no	—
149	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
150	C₂³×C₄×C₇	C₂³	1	4	yes	—
151	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₇	C₂³	1	2	yes	—
154	C₂³×C₄×C₇	C₂³	1	2	yes	—
155	C₂³×C₄×C₇	C₂³	1	2	yes	—
156	C₂³×C₄×C₇	C₂³	1	4	yes	—
157	C₂³×C₄×C₇	C₂³	1	4	yes	—
158	C₂³×C₄×C₇	C₂³	1	4	yes	—
159	C₂³×C₄×C₇	C₂³	1	2	yes	—
160	C₂³×C₄×C₇	C₂³	1	2	yes	—
161	C₂³×C₄×C₇	C₂³	1	8	yes	complemented
162	C₇×C₄⋊Q₈	C₂³	1	2	yes	complemented
163	C₇×C₄⋊Q₈	C₂³	1	2	yes	complemented
164	C₇×C₄⋊Q₈	C₂³	1	2	yes	complemented
165	C₇×C₄⋊Q₈	C₂³	1	8	yes	complemented
166	C₇×#127	C₂³	1	8	yes	—
167	C₇×#127	C₂³	1	2	yes	complemented
168	C₇×#126	C₂³	1	8	yes	complemented
169	C₇×#126	C₂³	1	8	yes	complemented
170	C₇×#126	C₂³	1	16	yes	complemented
171	C₇×#126	C₂³	1	16	yes	complemented
172	C₇×#126	C₂³	1	16	yes	complemented
173	C₇×#125	C₂³	1	4	yes	complemented
174	C₇×#125	C₂³	1	4	yes	complemented
175	C₇×#125	C₂³	1	4	yes	complemented
176	C₇×#125	C₂³	1	16	yes	complemented
177	C₇×#125	C₂³	1	8	yes	complemented
178	C₇×#124	C₂³	1	8	yes	—
179	C₇×#124	C₂³	1	4	yes	complemented
180	C₇×#124	C₂³	1	4	yes	complemented
181	C₇×#124	C₂³	1	4	yes	complemented
182	C₇×#124	C₂³	1	16	yes	complemented
183	C₇×#124	C₂³	1	16	yes	complemented
184	C₇×#123	C₂³	1	8	yes	—
185	C₇×#123	C₂³	1	16	yes	—
186	C₇×#123	C₂³	1	8	yes	—
187	C₇×#123	C₂³	1	8	yes	—
188	C₇×#123	C₂³	1	16	yes	—
189	C₇×#123	C₂³	1	16	yes	complemented
190	C₇×#123	C₂³	1	16	yes	complemented
191	C₇×#123	C₂³	1	16	yes	complemented
192	C₇×#123	C₂³	1	16	yes	complemented
193	C₇×#123	C₂³	1	16	yes	complemented
194	C₇×#123	C₂³	1	16	yes	complemented
195	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
196	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
197	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
198	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
199	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
200	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
201	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
202	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
203	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
204	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
205	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
206	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
207	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
208	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
209	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
210	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
211	C₇×#121	C₂³	1	4	yes	—
212	C₇×#121	C₂³	1	4	yes	—
213	C₇×#121	C₂³	1	8	yes	—
214	C₇×#121	C₂³	1	8	yes	—
215	C₇×#121	C₂³	1	4	yes	—
216	C₇×#121	C₂³	1	4	yes	—
217	C₇×#121	C₂³	1	4	yes	—
218	C₇×#121	C₂³	1	4	yes	—
219	C₇×#121	C₂³	1	16	yes	—
220	C₇×#121	C₂³	1	16	yes	—
221	C₇×#121	C₂³	1	8	yes	—
222	C₇×#121	C₂³	1	8	yes	—
223	C₇×#121	C₂³	1	8	yes	complemented
224	C₇×#121	C₂³	1	8	yes	complemented
225	C₇×#121	C₂³	1	8	yes	complemented
226	C₇×#121	C₂³	1	8	yes	complemented
227	C₇×#121	C₂³	1	16	yes	complemented
228	C₇×#121	C₂³	1	8	yes	complemented
229	C₇×#121	C₂³	1	16	yes	complemented
230	C₇×#120	C₂³	1	8	yes	—
231	C₇×#120	C₂³	1	16	yes	—
232	C₇×#120	C₂³	1	16	yes	—
233	C₇×#120	C₂³	1	16	yes	—
234	C₇×#120	C₂³	1	16	yes	—
235	C₇×#120	C₂³	1	16	yes	complemented
236	C₄×C₇×Q₈	C₂³	1	4	yes	complemented
237	C₄×C₇×Q₈	C₂³	1	4	yes	complemented
238	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
239	C₄×C₇×Q₈	C₂³	1	4	yes	complemented
240	C₄×C₇×Q₈	C₂³	1	4	yes	complemented
241	C₄×C₇×Q₈	C₂³	1	4	yes	complemented
242	C₄×C₇×Q₈	C₂³	1	4	yes	complemented
243	C₄×C₇×D₄	C₂³	1	4	yes	—
244	C₄×C₇×D₄	C₂³	1	4	yes	—
245	C₄×C₇×D₄	C₂³	1	4	yes	—
246	C₄×C₇×D₄	C₂³	1	4	yes	—
247	C₄×C₇×D₄	C₂³	1	8	yes	—
248	C₄×C₇×D₄	C₂³	1	4	yes	—
249	C₄×C₇×D₄	C₂³	1	8	yes	—
250	C₄×C₇×D₄	C₂³	1	4	yes	—
251	C₄×C₇×D₄	C₂³	1	8	yes	—
252	C₄×C₇×D₄	C₂³	1	4	yes	—
253	C₄×C₇×D₄	C₂³	1	8	yes	—
254	C₄×C₇×D₄	C₂³	1	4	yes	—
255	C₄×C₇×D₄	C₂³	1	8	yes	—
256	C₄×C₇×D₄	C₂³	1	8	yes	—
257	C₄×C₇×D₄	C₂³	1	8	yes	—
258	C₄×C₇×D₄	C₂³	1	16	yes	—
259	C₄×C₇×D₄	C₂³	1	16	yes	—
260	C₄×C₇×D₄	C₂³	1	8	yes	—
261	C₄×C₇×D₄	C₂³	1	8	yes	—
262	C₄×C₇×D₄	C₂³	1	8	yes	—
263	C₄×C₇×D₄	C₂³	1	8	yes	—
264	C₄×C₇×D₄	C₂³	1	8	yes	—
265	C₄×C₇×D₄	C₂³	1	16	yes	complemented
266	C₄×C₇×D₄	C₂³	1	4	yes	complemented
267	C₄×C₇×D₄	C₂³	1	16	yes	complemented
268	C₄×C₇×D₄	C₂³	1	16	yes	complemented
269	C₄×C₇×D₄	C₂³	1	8	yes	complemented
270	C₄×C₇×D₄	C₂³	1	16	yes	complemented
271	C₄×C₇×D₄	C₂³	1	16	yes	complemented
272	C₄×C₇×D₄	C₂³	1	4	yes	complemented
273	C₄×C₇×D₄	C₂³	1	16	yes	complemented
274	C₄×C₇×D₄	C₂³	1	4	yes	complemented
275	C₄×C₇×D₄	C₂³	1	4	yes	complemented
276	C₄×C₇×D₄	C₂³	1	4	yes	complemented
277	C₄×C₇×D₄	C₂³	1	4	yes	complemented
278	C₇×#117	C₂³	1	4	yes	—
279	C₇×#117	C₂³	1	8	yes	—
280	C₇×#117	C₂³	1	4	yes	—
281	C₇×#117	C₂³	1	4	yes	—
282	C₇×#117	C₂³	1	8	yes	complemented
283	C₇×#117	C₂³	1	8	yes	complemented
284	C₇×#117	C₂³	1	8	yes	complemented
285	C₇×#117	C₂³	1	16	yes	complemented
286	C₇×#117	C₂³	1	8	yes	complemented
287	C₇×#117	C₂³	1	8	yes	complemented
288	C₇×#117	C₂³	1	8	yes	complemented
289	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
292	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
293	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
294	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	complemented
295	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	complemented
296	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
297	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
298	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
299	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
300	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
301	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
302	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
303	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
304	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
305	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
306	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
307	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
308	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
309	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	complemented
310	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
311	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
312	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₇	C₂³	1	2	yes	—
314	C₂×C₄²×C₇	C₂³	1	2	yes	—
315	C₂×C₄²×C₇	C₂³	1	2	yes	—
316	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
318	C₂×C₄²×C₇	C₂³	1	2	yes	—
319	C₂×C₄²×C₇	C₂³	1	8	yes	complemented
320	C₂×C₄²×C₇	C₂³	1	8	yes	complemented
321	#3520	C₂×C₇	1	4	yes	complemented
322	#3519	C₂×C₇	1	4	yes	complemented
323	#3513	C₂×C₇	1	8	yes	complemented
324	#3506	C₂×C₇	1	2	yes	complemented
325	#3505	C₂×C₇	1	4	yes	complemented
326	#3501	C₂×C₇	1	1	yes	characteristic, complemented
327	#3496	C₂×C₇	1	1	yes	characteristic, complemented
328	#3492	C₂×C₇	1	2	yes	complemented
329	#3490	C₂×C₇	1	4	yes	complemented
330	#3484	C₂×C₇	1	2	yes	complemented
331	#3481	C₂×C₇	1	8	yes	complemented
332	#3475	C₂×C₇	1	4	yes	complemented
333	D₄×#41	C₂×C₇	1	4	yes	complemented
334	#3460	C₂×C₇	1	2	yes	complemented
335	#3459	C₂×C₇	1	4	yes	complemented
336	#3444	C₂×C₇	1	2	yes	complemented
337	C₂×#525	C₂×C₇	1	4	yes	complemented
338	C₄×H(5,𝔽₂)	C₂×C₇	1	2	yes	complemented
339	C₂²×C₄×D₄	C₂×C₇	1	1	yes	characteristic, complemented
340	C₂⁴×C₇	—	2	8	no	—
341	C₂⁴×C₇	—	4	4	no	—
342	C₂⁴×C₇	—	4	4	no	—
343	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
344	C₂⁴×C₇	C₂⁴	1	4	yes	—
345	C₂⁴×C₇	C₂⁴	1	4	yes	—
346	C₂⁴×C₇	C₂⁴	1	2	yes	—
347	C₂⁴×C₇	C₂⁴	1	8	yes	—
348	C₂⁴×C₇	C₂⁴	1	2	yes	—
349	C₇×#41	—	2	32	no	—
350	C₇×#41	—	2	16	no	—
351	C₇×#41	—	2	16	no	—
352	C₇×#41	—	4	16	no	—
353	C₇×#41	—	4	16	no	—
354	C₇×#41	—	4	8	no	—
355	C₇×#41	—	4	16	no	—
356	C₂×C₇×Q₈	—	4	8	no	—
357	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
358	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
359	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
360	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
361	C₂×C₇×D₄	—	2	8	no	—
362	C₂×C₇×D₄	—	2	32	no	—
363	C₂×C₇×D₄	—	2	16	no	—
364	C₂×C₇×D₄	—	2	16	no	—
365	C₂×C₇×D₄	—	2	32	no	—
366	C₂×C₇×D₄	—	2	4	no	—
367	C₂×C₇×D₄	—	4	8	no	—
368	C₂×C₇×D₄	—	4	16	no	—
369	C₂×C₇×D₄	—	4	16	no	—
370	C₂×C₇×D₄	#41	1	8	yes	complemented
371	C₂×C₇×D₄	C₂⁴	1	8	yes	—
372	C₂×C₇×D₄	C₂⁴	1	8	yes	—
373	C₂×C₇×D₄	C₂⁴	1	8	yes	—
374	C₂×C₇×D₄	C₂⁴	1	4	yes	—
375	C₂×C₇×D₄	C₂⁴	1	8	yes	—
376	C₂×C₇×D₄	C₂⁴	1	16	yes	—
377	C₂×C₇×D₄	C₂⁴	1	4	yes	—
378	C₂×C₇×D₄	C₂⁴	1	4	yes	—
379	C₂×C₇×D₄	C₂⁴	1	16	yes	—
380	C₂×C₇×D₄	C₂⁴	1	4	yes	—
381	C₂×C₇×D₄	C₂⁴	1	16	yes	—
382	C₂×C₇×D₄	C₂⁴	1	8	yes	—
383	C₂×C₇×D₄	C₂⁴	1	4	yes	—
384	C₂²×C₄×C₇	—	2	4	no	—
385	C₂²×C₄×C₇	—	2	4	no	—
386	C₂²×C₄×C₇	—	2	16	no	—
387	C₂²×C₄×C₇	—	4	4	no	—
388	C₂²×C₄×C₇	—	4	8	no	—
389	C₂²×C₄×C₇	—	4	4	no	—
390	C₂²×C₄×C₇	—	4	8	no	—
391	C₂²×C₄×C₇	—	4	4	no	—
392	C₂²×C₄×C₇	—	4	4	no	—
393	C₂²×C₄×C₇	—	4	16	no	—
394	C₂²×C₄×C₇	—	4	8	no	—
395	C₂²×C₄×C₇	—	4	4	no	—
396	C₂²×C₄×C₇	—	4	2	no	—
397	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
398	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
399	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
400	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
405	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
406	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
407	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
408	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
409	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
412	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
413	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
414	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
416	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
418	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
419	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
420	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
421	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
422	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
423	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
424	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
425	C₂²×C₄×C₇	C₂⁴	1	16	yes	—
426	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
427	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
428	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
430	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
431	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
432	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
433	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
434	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
435	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
436	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
437	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
438	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
439	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
440	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
441	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
442	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
443	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
444	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
445	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
446	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
447	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
448	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
449	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
450	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
451	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
452	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
453	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
454	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
455	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
456	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
457	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
458	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
459	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
460	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
461	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
462	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
463	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
464	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
465	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
466	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
467	C₄²×C₇	C₂⁴	1	2	yes	—
468	C₄²×C₇	C₂⁴	1	2	yes	—
469	C₄²×C₇	C₂⁴	1	2	yes	—
470	C₄²×C₇	C₂⁴	1	2	yes	—
471	C₄²×C₇	C₂⁴	1	2	yes	—
472	C₄²×C₇	C₂⁴	1	2	yes	—
473	C₄²×C₇	C₂⁴	1	16	yes	—
474	C₄²×C₇	C₂⁴	1	8	yes	—
475	C₄²×C₇	C₂⁴	1	8	yes	—
476	C₄²×C₇	C₂⁴	1	2	yes	—
477	C₄²×C₇	C₂⁴	1	2	yes	—
478	C₄²×C₇	C₂⁴	1	8	yes	—
479	C₂×H(5,𝔽₂)	C₂²×C₇	1	2	yes	—
480	C₂²×#41	C₂²×C₇	1	4	yes	complemented
481	C₂³×D₄	C₂²×C₇	1	1	yes	characteristic
482	C₂⁴×C₄	C₂²×C₇	1	2	yes	complemented
483	#559	C₂²×C₇	1	8	yes	complemented
484	#556	C₂²×C₇	1	4	yes	complemented
485	#555	C₂²×C₇	1	4	yes	complemented
486	#554	C₂²×C₇	1	8	yes	complemented
487	#554	C₂²×C₇	1	4	yes	complemented
488	#554	C₂²×C₇	1	8	yes	complemented
489	#553	C₂²×C₇	1	8	yes	complemented
490	#553	C₂²×C₇	1	8	yes	complemented
491	#553	C₂²×C₇	1	16	yes	complemented
492	#553	C₂²×C₇	1	8	yes	complemented
493	#552	C₂²×C₇	1	8	yes	complemented
494	#552	C₂²×C₇	1	8	yes	complemented
495	#551	C₂²×C₇	1	16	yes	complemented
496	#551	C₂²×C₇	1	16	yes	complemented
497	#551	C₂²×C₇	1	16	yes	complemented
498	#550	C₂²×C₇	1	4	yes	complemented
499	D₄×Q₈	C₂²×C₇	1	4	yes	complemented
500	#548	C₂²×C₇	1	8	yes	complemented
501	#547	C₂²×C₇	1	8	yes	complemented
502	#547	C₂²×C₇	1	4	yes	complemented
503	#547	C₂²×C₇	1	4	yes	complemented
504	#546	C₂²×C₇	1	8	yes	complemented
505	#546	C₂²×C₇	1	8	yes	complemented
506	#546	C₂²×C₇	1	16	yes	complemented
507	#546	C₂²×C₇	1	16	yes	complemented
508	#546	C₂²×C₇	1	8	yes	complemented
509	#546	C₂²×C₇	1	8	yes	complemented
510	D₄²	C₂²×C₇	1	8	yes	complemented
511	D₄²	C₂²×C₇	1	8	yes	complemented
512	D₄²	C₂²×C₇	1	4	yes	complemented
513	#544	C₂²×C₇	1	2	yes	complemented
514	#543	C₂²×C₇	1	4	yes	complemented
515	#542	C₂²×C₇	1	8	yes	complemented
516	#540	C₂²×C₇	1	8	yes	complemented
517	#539	C₂²×C₇	1	8	yes	complemented
518	#539	C₂²×C₇	1	16	yes	complemented
519	#538	C₂²×C₇	1	8	yes	complemented
520	#538	C₂²×C₇	1	8	yes	complemented
521	#538	C₂²×C₇	1	16	yes	complemented
522	#537	C₂²×C₇	1	2	yes	complemented
523	#535	C₂²×C₇	1	4	yes	complemented
524	#534	C₂²×C₇	1	8	yes	complemented
525	#534	C₂²×C₇	1	4	yes	complemented
526	#533	C₂²×C₇	1	2	yes	complemented
527	#533	C₂²×C₇	1	2	yes	complemented
528	#533	C₂²×C₇	1	2	yes	complemented
529	#532	C₂²×C₇	1	2	yes	complemented
530	#532	C₂²×C₇	1	2	yes	complemented
531	#532	C₂²×C₇	1	2	yes	complemented
532	#532	C₂²×C₇	1	8	yes	complemented
533	#529	C₂²×C₇	1	4	yes	complemented
534	#529	C₂²×C₇	1	4	yes	complemented
535	#529	C₂²×C₇	1	4	yes	complemented
536	#529	C₂²×C₇	1	4	yes	complemented
537	#529	C₂²×C₇	1	4	yes	complemented
538	#529	C₂²×C₇	1	4	yes	complemented
539	#529	C₂²×C₇	1	16	yes	complemented
540	#529	C₂²×C₇	1	8	yes	complemented
541	#525	C₂²×C₇	1	4	yes	complemented
542	#525	C₂²×C₇	1	8	yes	complemented
543	#525	C₂²×C₇	1	4	yes	complemented
544	#525	C₂²×C₇	1	4	yes	complemented
545	#525	C₂²×C₇	1	8	yes	complemented
546	#525	C₂²×C₇	1	8	yes	complemented
547	#525	C₂²×C₇	1	8	yes	complemented
548	#525	C₂²×C₇	1	8	yes	complemented
549	#525	C₂²×C₇	1	8	yes	complemented
550	#525	C₂²×C₇	1	8	yes	complemented
551	#525	C₂²×C₇	1	16	yes	complemented
552	C₂×#123	C₂²×C₇	1	8	yes	complemented
553	C₂×C₂²⋊Q₈	C₂²×C₇	1	4	yes	complemented
554	C₂×C₂²⋊Q₈	C₂²×C₇	1	4	yes	complemented
555	C₂×#121	C₂²×C₇	1	4	yes	complemented
556	C₂×#121	C₂²×C₇	1	4	yes	complemented
557	C₂×#120	C₂²×C₇	1	8	yes	complemented
558	#520	C₂²×C₇	1	4	yes	complemented
559	#520	C₂²×C₇	1	8	yes	complemented
560	#518	C₂²×C₇	1	2	yes	—
561	#518	C₂²×C₇	1	8	yes	complemented
562	#518	C₂²×C₇	1	8	yes	complemented
563	C₄×#41	C₂²×C₇	1	4	yes	complemented
564	C₄×#41	C₂²×C₇	1	4	yes	complemented
565	C₄×#41	C₂²×C₇	1	4	yes	complemented
566	C₄×#41	C₂²×C₇	1	8	yes	complemented
567	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
568	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
569	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
570	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
571	C₂×C₄×D₄	C₂²×C₇	1	4	yes	complemented
572	C₂×C₄×D₄	C₂²×C₇	1	4	yes	complemented
573	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
574	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
575	C₂×C₄×D₄	C₂²×C₇	1	4	yes	complemented
576	C₂×C₄×D₄	C₂²×C₇	1	4	yes	complemented
577	C₂×C₄×D₄	C₂²×C₇	1	8	yes	complemented
578	C₂×C₄×D₄	C₂²×C₇	1	8	yes	complemented
579	C₂×C₄×D₄	C₂²×C₇	1	8	yes	complemented
580	C₂×#117	C₂²×C₇	1	4	yes	complemented
581	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
582	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
583	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic, complemented
584	C₂³×C₇	—	2	2	no	—
585	C₂³×C₇	—	2	2	no	—
586	C₂³×C₇	—	2	2	no	—
587	C₂³×C₇	—	2	8	no	—
588	C₂³×C₇	—	2	8	no	—
589	C₂³×C₇	—	2	4	no	—
590	C₂³×C₇	—	2	8	no	—
591	C₂³×C₇	—	2	8	no	—
592	C₂³×C₇	—	2	16	no	—
593	C₂³×C₇	—	4	2	no	—
594	C₂³×C₇	—	4	4	no	—
595	C₂³×C₇	—	4	2	no	—
596	C₂³×C₇	—	4	2	no	—
597	C₂³×C₇	—	4	4	no	—
598	C₂³×C₇	—	4	2	no	—
599	C₂³×C₇	—	4	8	no	—
600	C₂³×C₇	—	4	8	no	—
601	C₂³×C₇	—	4	32	no	—
602	C₂³×C₇	C₂×#41	1	8	yes	complemented
603	C₂³×C₇	C₂⁵	1	4	yes	—
604	C₂³×C₇	C₂⁵	1	8	yes	—
605	C₂³×C₇	C₂⁵	1	4	yes	—
606	C₂³×C₇	C₂⁵	1	1	yes	characteristic
607	C₂³×C₇	C₂⁵	1	1	yes	characteristic
608	C₂³×C₇	C₂⁵	1	1	yes	characteristic
609	C₇×Q₈	—	2	8	no	—
610	C₇×Q₈	—	2	8	no	—
611	C₇×Q₈	—	4	8	no	—
612	C₇×Q₈	—	4	4	no	—
613	C₇×D₄	—	2	16	no	—
614	C₇×D₄	—	2	32	no	—
615	C₇×D₄	—	2	16	no	—
616	C₇×D₄	—	2	16	no	—
617	C₇×D₄	—	2	16	no	—
618	C₇×D₄	—	2	8	no	—
619	C₇×D₄	—	2	8	no	—
620	C₇×D₄	—	2	8	no	—
621	C₇×D₄	—	4	16	no	—
622	C₇×D₄	—	4	8	no	—
623	C₇×D₄	—	4	16	no	—
624	C₇×D₄	—	4	4	no	—
625	C₇×D₄	C₂×#41	1	16	yes	complemented
626	C₂×C₄×C₇	—	2	2	no	—
627	C₂×C₄×C₇	—	2	16	no	—
628	C₂×C₄×C₇	—	2	2	no	—
629	C₂×C₄×C₇	—	2	8	no	—
630	C₂×C₄×C₇	—	2	4	no	—
631	C₂×C₄×C₇	—	2	4	no	—
632	C₂×C₄×C₇	—	2	4	no	—
633	C₂×C₄×C₇	—	2	16	no	—
634	C₂×C₄×C₇	—	2	2	no	—
635	C₂×C₄×C₇	—	2	2	no	—
636	C₂×C₄×C₇	—	2	8	no	—
637	C₂×C₄×C₇	—	2	2	no	—
638	C₂×C₄×C₇	—	2	2	no	—
639	C₂×C₄×C₇	—	2	8	no	—
640	C₂×C₄×C₇	—	2	8	no	—
641	C₂×C₄×C₇	—	2	8	no	—
642	C₂×C₄×C₇	—	2	16	no	—
643	C₂×C₄×C₇	—	4	2	no	—
644	C₂×C₄×C₇	—	4	4	no	—
645	C₂×C₄×C₇	—	4	4	no	—
646	C₂×C₄×C₇	—	4	4	no	—
647	C₂×C₄×C₇	—	4	4	no	—
648	C₂×C₄×C₇	—	4	4	no	—
649	C₂×C₄×C₇	—	4	2	no	—
650	C₂×C₄×C₇	—	4	1	no	—
651	C₂×C₄×C₇	—	4	2	no	—
652	C₂×C₄×C₇	—	4	1	no	—
653	C₂×C₄×C₇	—	4	8	no	—
654	C₂×C₄×C₇	—	4	16	no	—
655	C₂×C₄×C₇	—	4	8	no	—
656	C₂×C₄×C₇	—	4	8	no	—
657	C₂×C₄×C₇	C₂×#41	1	4	yes	complemented
658	C₂×C₄×C₇	H(5,𝔽₂)	1	4	yes	complemented
659	C₂×C₄×C₇	C₂⁵	1	2	yes	—
660	C₂×C₄×C₇	C₂⁵	1	2	yes	—
661	C₂×C₄×C₇	C₂⁵	1	8	yes	—
662	C₂×C₄×C₇	C₂⁵	1	8	yes	—
663	C₂×C₄×C₇	C₂⁵	1	2	yes	—
664	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
665	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
666	C₂×C₄×C₇	C₂⁵	1	4	yes	—
667	C₂×C₄×C₇	C₂⁵	1	8	yes	—
668	C₂×C₄×C₇	C₂⁵	1	4	yes	—
669	C₂×C₄×C₇	C₂⁵	1	2	yes	—
670	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
671	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
672	C₂⁵	C₂³×C₇	1	2	yes	—
673	H(5,𝔽₂)	—	2	16	no	—
674	C₂×#41	—	4	16	no	—
675	C₂×#41	C₂³×C₇	1	4	yes	—
676	C₂×#41	C₂³×C₇	1	8	yes	—
677	C₂×#41	C₂³×C₇	1	4	yes	—
678	C₂×#41	C₂³×C₇	1	4	yes	—
679	C₂×#41	C₂³×C₇	1	8	yes	—
680	C₂×#41	C₂³×C₇	1	8	yes	complemented
681	C₂×#41	C₂³×C₇	1	8	yes	complemented
682	C₂²×Q₈	C₂³×C₇	1	4	yes	complemented
683	C₂²×D₄	—	2	8	no	—
684	C₂²×D₄	C₂³×C₇	1	2	yes	—
685	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
686	C₂²×D₄	C₂³×C₇	1	4	yes	—
687	C₂²×D₄	C₂³×C₇	1	4	yes	—
688	C₂²×D₄	C₂³×C₇	1	8	yes	—
689	C₂²×D₄	C₂³×C₇	1	8	yes	—
690	C₂²×D₄	C₂³×C₇	1	8	yes	—
691	C₂²×D₄	C₂³×C₇	1	8	yes	—
692	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
693	C₂²×D₄	C₂³×C₇	1	4	yes	complemented
694	C₂³×C₄	—	4	8	no	—
695	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
696	C₂³×C₄	C₂³×C₇	1	4	yes	—
697	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
698	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
699	C₂³×C₄	C₂³×C₇	1	2	yes	—
700	C₂³×C₄	C₂³×C₇	1	2	yes	—
701	C₂³×C₄	C₂³×C₇	1	2	yes	—
702	C₂³×C₄	C₂³×C₇	1	4	yes	—
703	C₂³×C₄	C₂³×C₇	1	4	yes	—
704	C₂³×C₄	C₂³×C₇	1	4	yes	—
705	C₂³×C₄	C₂³×C₇	1	2	yes	—
706	C₂³×C₄	C₂³×C₇	1	2	yes	—
707	C₂³×C₄	C₂³×C₇	1	8	yes	complemented
708	C₄⋊Q₈	C₂³×C₇	1	2	yes	complemented
709	C₄⋊Q₈	C₂³×C₇	1	2	yes	complemented
710	C₄⋊Q₈	C₂³×C₇	1	2	yes	complemented
711	C₄⋊Q₈	C₂³×C₇	1	8	yes	complemented
712	#127	C₂³×C₇	1	8	yes	—
713	#127	C₂³×C₇	1	2	yes	complemented
714	#126	C₂³×C₇	1	8	yes	complemented
715	#126	C₂³×C₇	1	8	yes	complemented
716	#126	C₂³×C₇	1	16	yes	complemented
717	#126	C₂³×C₇	1	16	yes	complemented
718	#126	C₂³×C₇	1	16	yes	complemented
719	#125	C₂³×C₇	1	4	yes	complemented
720	#125	C₂³×C₇	1	4	yes	complemented
721	#125	C₂³×C₇	1	4	yes	complemented
722	#125	C₂³×C₇	1	16	yes	complemented
723	#125	C₂³×C₇	1	8	yes	complemented
724	#124	C₂³×C₇	1	8	yes	—
725	#124	C₂³×C₇	1	4	yes	complemented
726	#124	C₂³×C₇	1	4	yes	complemented
727	#124	C₂³×C₇	1	4	yes	complemented
728	#124	C₂³×C₇	1	16	yes	complemented
729	#124	C₂³×C₇	1	16	yes	complemented
730	#123	C₂³×C₇	1	8	yes	—
731	#123	C₂³×C₇	1	16	yes	—
732	#123	C₂³×C₇	1	8	yes	—
733	#123	C₂³×C₇	1	8	yes	—
734	#123	C₂³×C₇	1	16	yes	—
735	#123	C₂³×C₇	1	16	yes	complemented
736	#123	C₂³×C₇	1	16	yes	complemented
737	#123	C₂³×C₇	1	16	yes	complemented
738	#123	C₂³×C₇	1	16	yes	complemented
739	#123	C₂³×C₇	1	16	yes	complemented
740	#123	C₂³×C₇	1	16	yes	complemented
741	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
742	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
743	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
744	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
745	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
746	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
747	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
748	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
749	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
750	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
751	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
752	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
753	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
754	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
755	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
756	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
757	#121	C₂³×C₇	1	4	yes	—
758	#121	C₂³×C₇	1	4	yes	—
759	#121	C₂³×C₇	1	8	yes	—
760	#121	C₂³×C₇	1	8	yes	—
761	#121	C₂³×C₇	1	4	yes	—
762	#121	C₂³×C₇	1	4	yes	—
763	#121	C₂³×C₇	1	4	yes	—
764	#121	C₂³×C₇	1	4	yes	—
765	#121	C₂³×C₇	1	16	yes	—
766	#121	C₂³×C₇	1	16	yes	—
767	#121	C₂³×C₇	1	8	yes	—
768	#121	C₂³×C₇	1	8	yes	—
769	#121	C₂³×C₇	1	8	yes	complemented
770	#121	C₂³×C₇	1	8	yes	complemented
771	#121	C₂³×C₇	1	8	yes	complemented
772	#121	C₂³×C₇	1	8	yes	complemented
773	#121	C₂³×C₇	1	16	yes	complemented
774	#121	C₂³×C₇	1	8	yes	complemented
775	#121	C₂³×C₇	1	16	yes	complemented
776	#120	C₂³×C₇	1	8	yes	—
777	#120	C₂³×C₇	1	16	yes	—
778	#120	C₂³×C₇	1	16	yes	—
779	#120	C₂³×C₇	1	16	yes	—
780	#120	C₂³×C₇	1	16	yes	—
781	#120	C₂³×C₇	1	16	yes	complemented
782	C₄×Q₈	C₂³×C₇	1	4	yes	complemented
783	C₄×Q₈	C₂³×C₇	1	4	yes	complemented
784	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
785	C₄×Q₈	C₂³×C₇	1	4	yes	complemented
786	C₄×Q₈	C₂³×C₇	1	4	yes	complemented
787	C₄×Q₈	C₂³×C₇	1	4	yes	complemented
788	C₄×Q₈	C₂³×C₇	1	4	yes	complemented
789	C₄×D₄	C₂³×C₇	1	4	yes	—
790	C₄×D₄	C₂³×C₇	1	4	yes	—
791	C₄×D₄	C₂³×C₇	1	4	yes	—
792	C₄×D₄	C₂³×C₇	1	4	yes	—
793	C₄×D₄	C₂³×C₇	1	8	yes	—
794	C₄×D₄	C₂³×C₇	1	4	yes	—
795	C₄×D₄	C₂³×C₇	1	8	yes	—
796	C₄×D₄	C₂³×C₇	1	4	yes	—
797	C₄×D₄	C₂³×C₇	1	8	yes	—
798	C₄×D₄	C₂³×C₇	1	4	yes	—
799	C₄×D₄	C₂³×C₇	1	8	yes	—
800	C₄×D₄	C₂³×C₇	1	4	yes	—
801	C₄×D₄	C₂³×C₇	1	8	yes	—
802	C₄×D₄	C₂³×C₇	1	8	yes	—
803	C₄×D₄	C₂³×C₇	1	8	yes	—
804	C₄×D₄	C₂³×C₇	1	16	yes	—
805	C₄×D₄	C₂³×C₇	1	16	yes	—
806	C₄×D₄	C₂³×C₇	1	8	yes	—
807	C₄×D₄	C₂³×C₇	1	8	yes	—
808	C₄×D₄	C₂³×C₇	1	8	yes	—
809	C₄×D₄	C₂³×C₇	1	8	yes	—
810	C₄×D₄	C₂³×C₇	1	8	yes	—
811	C₄×D₄	C₂³×C₇	1	16	yes	complemented
812	C₄×D₄	C₂³×C₇	1	4	yes	complemented
813	C₄×D₄	C₂³×C₇	1	16	yes	complemented
814	C₄×D₄	C₂³×C₇	1	16	yes	complemented
815	C₄×D₄	C₂³×C₇	1	8	yes	complemented
816	C₄×D₄	C₂³×C₇	1	16	yes	complemented
817	C₄×D₄	C₂³×C₇	1	16	yes	complemented
818	C₄×D₄	C₂³×C₇	1	4	yes	complemented
819	C₄×D₄	C₂³×C₇	1	16	yes	complemented
820	C₄×D₄	C₂³×C₇	1	4	yes	complemented
821	C₄×D₄	C₂³×C₇	1	4	yes	complemented
822	C₄×D₄	C₂³×C₇	1	4	yes	complemented
823	C₄×D₄	C₂³×C₇	1	4	yes	complemented
824	#117	C₂³×C₇	1	4	yes	—
825	#117	C₂³×C₇	1	8	yes	—
826	#117	C₂³×C₇	1	4	yes	—
827	#117	C₂³×C₇	1	4	yes	—
828	#117	C₂³×C₇	1	8	yes	complemented
829	#117	C₂³×C₇	1	8	yes	complemented
830	#117	C₂³×C₇	1	8	yes	complemented
831	#117	C₂³×C₇	1	16	yes	complemented
832	#117	C₂³×C₇	1	8	yes	complemented
833	#117	C₂³×C₇	1	8	yes	complemented
834	#117	C₂³×C₇	1	8	yes	complemented
835	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
836	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
837	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
838	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
839	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
840	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	complemented
841	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	complemented
842	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
843	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
844	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
845	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
846	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
847	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
848	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
849	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
850	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
851	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
852	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
853	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
854	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	complemented
855	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	complemented
856	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	complemented
857	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
858	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
859	C₂×C₄²	C₂³×C₇	1	2	yes	—
860	C₂×C₄²	C₂³×C₇	1	2	yes	—
861	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
862	C₂×C₄²	C₂³×C₇	1	2	yes	—
863	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
864	C₂×C₄²	C₂³×C₇	1	2	yes	—
865	C₂×C₄²	C₂³×C₇	1	8	yes	complemented
866	C₂×C₄²	C₂³×C₇	1	8	yes	complemented
867	C₂²×C₇	—	2	8	no	—
868	C₂²×C₇	—	2	1	no	—
869	C₂²×C₇	—	2	1	no	—
870	C₂²×C₇	—	2	1	no	—
871	C₂²×C₇	—	2	1	no	—
872	C₂²×C₇	—	2	4	no	—
873	C₂²×C₇	—	2	1	no	—
874	C₂²×C₇	—	2	1	no	—
875	C₂²×C₇	—	2	4	no	—
876	C₂²×C₇	—	2	8	no	—
877	C₂²×C₇	—	2	4	no	—
878	C₂²×C₇	—	2	4	no	—
879	C₂²×C₇	—	2	8	no	—
880	C₂²×C₇	—	2	8	no	—
881	C₂²×C₇	—	2	4	no	—
882	C₂²×C₇	—	4	8	no	—
883	C₂²×C₇	—	4	16	no	—
884	C₂²×C₇	—	4	16	no	—
885	C₂²×C₇	—	4	8	no	—
886	C₂²×C₇	—	8	16	no	—
887	C₂²×C₇	C₂²×#41	1	8	yes	—
888	C₂²×C₇	C₂²×#41	1	2	yes	—
889	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
890	C₂²×C₇	#585	1	2	yes	—
891	C₂²×C₇	C₂⁶	1	1	yes	characteristic
892	C₄×C₇	—	2	2	no	—
893	C₄×C₇	—	2	8	no	—
894	C₄×C₇	—	2	1	no	—
895	C₄×C₇	—	2	1	no	—
896	C₄×C₇	—	2	4	no	—
897	C₄×C₇	—	2	4	no	—
898	C₄×C₇	—	2	8	no	—
899	C₄×C₇	—	2	2	no	—
900	C₄×C₇	—	2	2	no	—
901	C₄×C₇	—	2	8	no	—
902	C₄×C₇	C₂²×#41	1	4	yes	—
903	C₄×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
904	C₄×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
905	C₂⁴	—	2	8	no	—
906	C₂⁴	—	4	4	no	—
907	C₂⁴	—	4	4	no	—
908	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
909	C₂⁴	C₂⁴×C₇	1	4	yes	—
910	C₂⁴	C₂⁴×C₇	1	4	yes	—
911	C₂⁴	C₂⁴×C₇	1	2	yes	—
912	C₂⁴	C₂⁴×C₇	1	8	yes	—
913	C₂⁴	C₂⁴×C₇	1	2	yes	—
914	#41	—	2	32	no	—
915	#41	—	2	16	no	—
916	#41	—	2	16	no	—
917	#41	—	4	16	no	—
918	#41	—	4	16	no	—
919	#41	—	4	8	no	—
920	#41	—	4	16	no	—
921	C₂×Q₈	—	4	8	no	—
922	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
923	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
924	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
925	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
926	C₂×D₄	—	2	8	no	—
927	C₂×D₄	—	2	32	no	—
928	C₂×D₄	—	2	16	no	—
929	C₂×D₄	—	2	16	no	—
930	C₂×D₄	—	2	32	no	—
931	C₂×D₄	—	2	4	no	—
932	C₂×D₄	—	4	8	no	—
933	C₂×D₄	—	4	16	no	—
934	C₂×D₄	—	4	16	no	—
935	C₂×D₄	C₇×#41	1	8	yes	complemented
936	C₂×D₄	C₂⁴×C₇	1	8	yes	—
937	C₂×D₄	C₂⁴×C₇	1	8	yes	—
938	C₂×D₄	C₂⁴×C₇	1	8	yes	—
939	C₂×D₄	C₂⁴×C₇	1	4	yes	—
940	C₂×D₄	C₂⁴×C₇	1	8	yes	—
941	C₂×D₄	C₂⁴×C₇	1	16	yes	—
942	C₂×D₄	C₂⁴×C₇	1	4	yes	—
943	C₂×D₄	C₂⁴×C₇	1	4	yes	—
944	C₂×D₄	C₂⁴×C₇	1	16	yes	—
945	C₂×D₄	C₂⁴×C₇	1	4	yes	—
946	C₂×D₄	C₂⁴×C₇	1	16	yes	—
947	C₂×D₄	C₂⁴×C₇	1	8	yes	—
948	C₂×D₄	C₂⁴×C₇	1	4	yes	—
949	C₂²×C₄	—	2	4	no	—
950	C₂²×C₄	—	2	4	no	—
951	C₂²×C₄	—	2	16	no	—
952	C₂²×C₄	—	4	4	no	—
953	C₂²×C₄	—	4	8	no	—
954	C₂²×C₄	—	4	4	no	—
955	C₂²×C₄	—	4	8	no	—
956	C₂²×C₄	—	4	4	no	—
957	C₂²×C₄	—	4	4	no	—
958	C₂²×C₄	—	4	16	no	—
959	C₂²×C₄	—	4	8	no	—
960	C₂²×C₄	—	4	4	no	—
961	C₂²×C₄	—	4	2	no	—
962	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
963	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
964	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
965	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
966	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
967	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
968	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
969	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
970	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
971	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
972	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
973	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
974	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
975	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
976	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
977	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
978	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
979	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
980	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
981	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
982	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
983	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
984	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
985	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
986	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
987	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
988	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
989	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
990	C₂²×C₄	C₂⁴×C₇	1	16	yes	—
991	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
992	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
993	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
994	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
995	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
996	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
997	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
998	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
999	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1000	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1001	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1002	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
1003	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1004	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1005	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1006	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
1007	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1008	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1009	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1010	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1011	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1012	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1013	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1014	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1015	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1016	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1017	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1018	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1019	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1020	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1021	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1022	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1023	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1024	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1025	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1026	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1027	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1028	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1029	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1030	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1031	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1032	C₄²	C₂⁴×C₇	1	2	yes	—
1033	C₄²	C₂⁴×C₇	1	2	yes	—
1034	C₄²	C₂⁴×C₇	1	2	yes	—
1035	C₄²	C₂⁴×C₇	1	2	yes	—
1036	C₄²	C₂⁴×C₇	1	2	yes	—
1037	C₄²	C₂⁴×C₇	1	2	yes	—
1038	C₄²	C₂⁴×C₇	1	2	yes	—
1039	C₄²	C₂⁴×C₇	1	2	yes	—
1040	C₄²	C₂⁴×C₇	1	8	yes	—
1041	C₄²	C₂⁴×C₇	1	16	yes	—
1042	C₄²	C₂⁴×C₇	1	8	yes	—
1043	C₄²	C₂⁴×C₇	1	8	yes	—
1044	C₂×C₇	—	2	2	no	—
1045	C₂×C₇	—	2	2	no	—
1046	C₂×C₇	—	2	2	no	—
1047	C₂×C₇	—	2	8	no	—
1048	C₂×C₇	—	4	4	no	—
1049	C₂×C₇	—	4	8	no	—
1050	C₂×C₇	C₂³×#41	1	1	yes	characteristic
1051	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1052	C₂×C₇	C₂×#585	1	1	yes	characteristic
1053	C₂³	—	2	2	no	—
1054	C₂³	—	2	2	no	—
1055	C₂³	—	2	2	no	—
1056	C₂³	—	2	8	no	—
1057	C₂³	—	2	8	no	—
1058	C₂³	—	2	4	no	—
1059	C₂³	—	2	8	no	—
1060	C₂³	—	2	8	no	—
1061	C₂³	—	2	16	no	—
1062	C₂³	—	4	2	no	—
1063	C₂³	—	4	4	no	—
1064	C₂³	—	4	2	no	—
1065	C₂³	—	4	2	no	—
1066	C₂³	—	4	4	no	—
1067	C₂³	—	4	2	no	—
1068	C₂³	—	4	8	no	—
1069	C₂³	—	4	8	no	—
1070	C₂³	—	4	32	no	—
1071	C₂³	C₂×C₇×#41	1	8	yes	complemented
1072	C₂³	C₂⁵×C₇	1	4	yes	—
1073	C₂³	C₂⁵×C₇	1	8	yes	—
1074	C₂³	C₂⁵×C₇	1	4	yes	—
1075	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1076	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1077	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1078	Q₈	—	2	8	no	—
1079	Q₈	—	2	8	no	—
1080	Q₈	—	4	8	no	—
1081	Q₈	—	4	4	no	—
1082	D₄	—	2	16	no	—
1083	D₄	—	2	32	no	—
1084	D₄	—	2	16	no	—
1085	D₄	—	2	16	no	—
1086	D₄	—	2	16	no	—
1087	D₄	—	2	8	no	—
1088	D₄	—	2	8	no	—
1089	D₄	—	2	8	no	—
1090	D₄	—	4	16	no	—
1091	D₄	—	4	8	no	—
1092	D₄	—	4	16	no	—
1093	D₄	—	4	4	no	—
1094	D₄	C₂×C₇×#41	1	16	yes	complemented
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	16	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	8	no	—
1099	C₂×C₄	—	2	4	no	—
1100	C₂×C₄	—	2	4	no	—
1101	C₂×C₄	—	2	4	no	—
1102	C₂×C₄	—	2	16	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	8	no	—
1106	C₂×C₄	—	2	2	no	—
1107	C₂×C₄	—	2	2	no	—
1108	C₂×C₄	—	2	8	no	—
1109	C₂×C₄	—	2	8	no	—
1110	C₂×C₄	—	2	8	no	—
1111	C₂×C₄	—	2	16	no	—
1112	C₂×C₄	—	4	2	no	—
1113	C₂×C₄	—	4	4	no	—
1114	C₂×C₄	—	4	4	no	—
1115	C₂×C₄	—	4	4	no	—
1116	C₂×C₄	—	4	4	no	—
1117	C₂×C₄	—	4	4	no	—
1118	C₂×C₄	—	4	2	no	—
1119	C₂×C₄	—	4	1	no	—
1120	C₂×C₄	—	4	2	no	—
1121	C₂×C₄	—	4	1	no	—
1122	C₂×C₄	—	4	8	no	—
1123	C₂×C₄	—	4	16	no	—
1124	C₂×C₄	—	4	8	no	—
1125	C₂×C₄	—	4	8	no	—
1126	C₂×C₄	C₂×C₇×#41	1	4	yes	complemented
1127	C₂×C₄	C₇×H(5,𝔽₂)	1	4	yes	complemented
1128	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1129	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1130	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1131	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1132	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1133	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1134	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1135	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1136	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1137	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1138	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1139	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1140	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1141	C₇	#62773	1	1	yes	characteristic, direct product factor, Sylow
1142	C₂²	—	2	8	no	—
1143	C₂²	—	2	1	no	—
1144	C₂²	—	2	1	no	—
1145	C₂²	—	2	1	no	—
1146	C₂²	—	2	1	no	—
1147	C₂²	—	2	4	no	—
1148	C₂²	—	2	1	no	—
1149	C₂²	—	2	1	no	—
1150	C₂²	—	2	4	no	—
1151	C₂²	—	2	8	no	—
1152	C₂²	—	2	4	no	—
1153	C₂²	—	2	4	no	—
1154	C₂²	—	2	8	no	—
1155	C₂²	—	2	8	no	—
1156	C₂²	—	2	4	no	—
1157	C₂²	—	4	8	no	—
1158	C₂²	—	4	16	no	—
1159	C₂²	—	4	16	no	—
1160	C₂²	—	4	8	no	—
1161	C₂²	—	8	16	no	—
1162	C₂²	C₂²×C₇×#41	1	8	yes	—
1163	C₂²	C₂²×C₇×#41	1	2	yes	—
1164	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1165	C₂²	C₇×#585	1	2	yes	—
1166	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1167	C₄	—	2	2	no	—
1168	C₄	—	2	8	no	—
1169	C₄	—	2	1	no	—
1170	C₄	—	2	1	no	—
1171	C₄	—	2	4	no	—
1172	C₄	—	2	4	no	—
1173	C₄	—	2	8	no	—
1174	C₄	—	2	2	no	—
1175	C₄	—	2	2	no	—
1176	C₄	—	2	8	no	—
1177	C₄	C₂²×C₇×#41	1	4	yes	—
1178	C₄	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1179	C₄	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1180	C₂	—	2	2	no	—
1181	C₂	—	2	2	no	—
1182	C₂	—	2	2	no	—
1183	C₂	—	2	8	no	—
1184	C₂	—	4	4	no	—
1185	C₂	—	4	8	no	—
1186	C₂	C₂³×C₇×#41	1	1	yes	characteristic
1187	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1188	C₂	C₂×C₇×#585	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₇×#3520	C₂	semidirect
2. C₇×#3519	C₂	semidirect
3. C₇×#3513	C₂	semidirect
4. C₇×#3506	C₂	semidirect
5. C₇×#3505	C₂	semidirect
6. C₇×#3501	C₂	semidirect
7. C₇×#3496	C₂	semidirect
8. C₇×#3492	C₂	semidirect
9. C₇×#3490	C₂	semidirect
10. C₇×#3484	C₂	semidirect
11. C₇×#3481	C₂	semidirect
12. C₇×#3475	C₂	semidirect
13. C₇×D₄×#41	C₂	semidirect
14. C₇×#3460	C₂	semidirect
15. C₇×#3459	C₂	semidirect
16. C₇×#3444	C₂	semidirect
17. C₂×C₇×#525	C₂	semidirect
18. C₄×C₇×H(5,𝔽₂)	C₂	semidirect
19. C₂²×C₄×C₇×D₄	C₂	semidirect
21. C₂²×C₇×#41	C₂²	semidirect
23. C₂⁴×C₄×C₇	C₂²	semidirect
24. C₇×#559	C₂²	semidirect
25. C₇×#556	C₂²	semidirect
26. C₇×#555	C₂²	semidirect
27. C₇×#554	C₂²	semidirect
28. C₇×#554	C₂²	semidirect
29. C₇×#554	C₂²	semidirect
30. C₇×#553	C₂²	semidirect
31. C₇×#553	C₂²	semidirect
32. C₇×#553	C₂²	semidirect
33. C₇×#553	C₂²	semidirect
34. C₇×#552	C₂²	semidirect
35. C₇×#552	C₂²	semidirect
36. C₇×#551	C₂²	semidirect
37. C₇×#551	C₂²	semidirect
38. C₇×#551	C₂²	semidirect
39. C₇×#550	C₂²	semidirect
40. C₇×D₄×Q₈	C₂²	semidirect
41. C₇×#548	C₂²	semidirect
42. C₇×#547	C₂²	semidirect
43. C₇×#547	C₂²	semidirect
44. C₇×#547	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×#546	C₂²	semidirect
51. C₇×D₄²	C₂²	semidirect
52. C₇×D₄²	C₂²	semidirect
53. C₇×D₄²	C₂²	semidirect
54. C₇×#544	C₂²	semidirect
55. C₇×#543	C₂²	semidirect
56. C₇×#542	C₂²	semidirect
57. C₇×#540	C₂²	semidirect
58. C₇×#539	C₂²	semidirect
59. C₇×#539	C₂²	semidirect
60. C₇×#538	C₂²	semidirect
61. C₇×#538	C₂²	semidirect
62. C₇×#538	C₂²	semidirect
63. C₇×#537	C₂²	semidirect
64. C₇×#535	C₂²	semidirect
65. C₇×#534	C₂²	semidirect
66. C₇×#534	C₂²	semidirect
67. C₇×#533	C₂²	semidirect
68. C₇×#533	C₂²	semidirect
69. C₇×#533	C₂²	semidirect
70. C₇×#532	C₂²	semidirect
71. C₇×#532	C₂²	semidirect
72. C₇×#532	C₂²	semidirect
73. C₇×#532	C₂²	semidirect
74. C₇×#529	C₂²	semidirect
75. C₇×#529	C₂²	semidirect
76. C₇×#529	C₂²	semidirect
77. C₇×#529	C₂²	semidirect
78. C₇×#529	C₂²	semidirect
79. C₇×#529	C₂²	semidirect
80. C₇×#529	C₂²	semidirect
81. C₇×#529	C₂²	semidirect
82. C₇×#525	C₂²	semidirect
83. C₇×#525	C₂²	semidirect
84. C₇×#525	C₂²	semidirect
85. C₇×#525	C₂²	semidirect
86. C₇×#525	C₂²	semidirect
87. C₇×#525	C₂²	semidirect
88. C₇×#525	C₂²	semidirect
89. C₇×#525	C₂²	semidirect
90. C₇×#525	C₂²	semidirect
91. C₇×#525	C₂²	semidirect
92. C₇×#525	C₂²	semidirect
93. C₂×C₇×#123	C₂²	semidirect
94. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
95. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
96. C₂×C₇×#121	C₂²	semidirect
97. C₂×C₇×#121	C₂²	semidirect
98. C₂×C₇×#120	C₂²	semidirect
99. C₇×#520	C₂²	semidirect
100. C₇×#520	C₂²	semidirect
102. C₇×#518	C₂²	semidirect
103. C₇×#518	C₂²	semidirect
104. C₄×C₇×#41	C₂²	semidirect
105. C₄×C₇×#41	C₂²	semidirect
106. C₄×C₇×#41	C₂²	semidirect
107. C₄×C₇×#41	C₂²	semidirect
110. C₂×C₄×C₇×D₄	C₂²	semidirect
111. C₂×C₄×C₇×D₄	C₂²	semidirect
112. C₂×C₄×C₇×D₄	C₂²	semidirect
113. C₂×C₄×C₇×D₄	C₂²	semidirect
114. C₂×C₄×C₇×D₄	C₂²	semidirect
115. C₂×C₄×C₇×D₄	C₂²	semidirect
116. C₂×C₄×C₇×D₄	C₂²	semidirect
117. C₂×C₄×C₇×D₄	C₂²	semidirect
118. C₂×C₄×C₇×D₄	C₂²	semidirect
119. C₂×C₄×C₇×D₄	C₂²	semidirect
120. C₂×C₄×C₇×D₄	C₂²	semidirect
121. C₂×C₇×#117	C₂²	semidirect
122. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
123. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
124. C₂²×C₄²×C₇	C₂²	semidirect
125. #62773	C₇	direct (N × H)
134. C₂×C₇×#41	C₂³	semidirect
135. C₂×C₇×#41	C₂³	semidirect
136. C₂²×C₇×Q₈	C₂³	semidirect
147. C₂²×C₇×D₄	C₂³	semidirect
161. C₂³×C₄×C₇	C₂³	semidirect
162. C₇×C₄⋊Q₈	C₂³	semidirect
163. C₇×C₄⋊Q₈	C₂³	semidirect
164. C₇×C₄⋊Q₈	C₂³	semidirect
165. C₇×C₄⋊Q₈	C₂³	semidirect
167. C₇×#127	C₂³	semidirect
168. C₇×#126	C₂³	semidirect
169. C₇×#126	C₂³	semidirect
170. C₇×#126	C₂³	semidirect
171. C₇×#126	C₂³	semidirect
172. C₇×#126	C₂³	semidirect
173. C₇×#125	C₂³	semidirect
174. C₇×#125	C₂³	semidirect
175. C₇×#125	C₂³	semidirect
176. C₇×#125	C₂³	semidirect
177. C₇×#125	C₂³	semidirect
179. C₇×#124	C₂³	semidirect
180. C₇×#124	C₂³	semidirect
181. C₇×#124	C₂³	semidirect
182. C₇×#124	C₂³	semidirect
183. C₇×#124	C₂³	semidirect
189. C₇×#123	C₂³	semidirect
190. C₇×#123	C₂³	semidirect
191. C₇×#123	C₂³	semidirect
192. C₇×#123	C₂³	semidirect
193. C₇×#123	C₂³	semidirect
194. C₇×#123	C₂³	semidirect
203. C₇×C₂²⋊Q₈	C₂³	semidirect
204. C₇×C₂²⋊Q₈	C₂³	semidirect
205. C₇×C₂²⋊Q₈	C₂³	semidirect
206. C₇×C₂²⋊Q₈	C₂³	semidirect
207. C₇×C₂²⋊Q₈	C₂³	semidirect
208. C₇×C₂²⋊Q₈	C₂³	semidirect
209. C₇×C₂²⋊Q₈	C₂³	semidirect
210. C₇×C₂²⋊Q₈	C₂³	semidirect
223. C₇×#121	C₂³	semidirect
224. C₇×#121	C₂³	semidirect
225. C₇×#121	C₂³	semidirect
226. C₇×#121	C₂³	semidirect
227. C₇×#121	C₂³	semidirect
228. C₇×#121	C₂³	semidirect
229. C₇×#121	C₂³	semidirect
235. C₇×#120	C₂³	semidirect
236. C₄×C₇×Q₈	C₂³	semidirect
237. C₄×C₇×Q₈	C₂³	semidirect
238. C₄×C₇×Q₈	C₂³	semidirect
239. C₄×C₇×Q₈	C₂³	semidirect
240. C₄×C₇×Q₈	C₂³	semidirect
241. C₄×C₇×Q₈	C₂³	semidirect
242. C₄×C₇×Q₈	C₂³	semidirect
265. C₄×C₇×D₄	C₂³	semidirect
266. C₄×C₇×D₄	C₂³	semidirect
267. C₄×C₇×D₄	C₂³	semidirect
268. C₄×C₇×D₄	C₂³	semidirect
269. C₄×C₇×D₄	C₂³	semidirect
270. C₄×C₇×D₄	C₂³	semidirect
271. C₄×C₇×D₄	C₂³	semidirect
272. C₄×C₇×D₄	C₂³	semidirect
273. C₄×C₇×D₄	C₂³	semidirect
274. C₄×C₇×D₄	C₂³	semidirect
275. C₄×C₇×D₄	C₂³	semidirect
276. C₄×C₇×D₄	C₂³	semidirect
277. C₄×C₇×D₄	C₂³	semidirect
282. C₇×#117	C₂³	semidirect
283. C₇×#117	C₂³	semidirect
284. C₇×#117	C₂³	semidirect
285. C₇×#117	C₂³	semidirect
286. C₇×#117	C₂³	semidirect
287. C₇×#117	C₂³	semidirect
288. C₇×#117	C₂³	semidirect
294. C₂×C₇×C₄⋊C₄	C₂³	semidirect
295. C₂×C₇×C₄⋊C₄	C₂³	semidirect
296. C₂×C₇×C₄⋊C₄	C₂³	semidirect
297. C₂×C₇×C₄⋊C₄	C₂³	semidirect
298. C₂×C₇×C₄⋊C₄	C₂³	semidirect
308. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
309. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
310. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
319. C₂×C₄²×C₇	C₂³	semidirect
320. C₂×C₄²×C₇	C₂³	semidirect
321. #3520	C₂×C₇	semidirect
322. #3519	C₂×C₇	semidirect
323. #3513	C₂×C₇	semidirect
324. #3506	C₂×C₇	semidirect
325. #3505	C₂×C₇	semidirect
326. #3501	C₂×C₇	semidirect
327. #3496	C₂×C₇	semidirect
328. #3492	C₂×C₇	semidirect
329. #3490	C₂×C₇	semidirect
330. #3484	C₂×C₇	semidirect
331. #3481	C₂×C₇	semidirect
332. #3475	C₂×C₇	semidirect
333. D₄×#41	C₂×C₇	semidirect
334. #3460	C₂×C₇	semidirect
335. #3459	C₂×C₇	semidirect
336. #3444	C₂×C₇	semidirect
337. C₂×#525	C₂×C₇	semidirect
338. C₄×H(5,𝔽₂)	C₂×C₇	semidirect
339. C₂²×C₄×D₄	C₂×C₇	semidirect
370. C₂×C₇×D₄	#41	semidirect
480. C₂²×#41	C₂²×C₇	semidirect
482. C₂⁴×C₄	C₂²×C₇	semidirect
483. #559	C₂²×C₇	semidirect
484. #556	C₂²×C₇	semidirect
485. #555	C₂²×C₇	semidirect
486. #554	C₂²×C₇	semidirect
487. #554	C₂²×C₇	semidirect
488. #554	C₂²×C₇	semidirect
489. #553	C₂²×C₇	semidirect
490. #553	C₂²×C₇	semidirect
491. #553	C₂²×C₇	semidirect
492. #553	C₂²×C₇	semidirect
493. #552	C₂²×C₇	semidirect
494. #552	C₂²×C₇	semidirect
495. #551	C₂²×C₇	semidirect
496. #551	C₂²×C₇	semidirect
497. #551	C₂²×C₇	semidirect
498. #550	C₂²×C₇	semidirect
499. D₄×Q₈	C₂²×C₇	semidirect
500. #548	C₂²×C₇	semidirect
501. #547	C₂²×C₇	semidirect
502. #547	C₂²×C₇	semidirect
503. #547	C₂²×C₇	semidirect
504. #546	C₂²×C₇	semidirect
505. #546	C₂²×C₇	semidirect
506. #546	C₂²×C₇	semidirect
507. #546	C₂²×C₇	semidirect
508. #546	C₂²×C₇	semidirect
509. #546	C₂²×C₇	semidirect
510. D₄²	C₂²×C₇	semidirect
511. D₄²	C₂²×C₇	semidirect
512. D₄²	C₂²×C₇	semidirect
513. #544	C₂²×C₇	semidirect
514. #543	C₂²×C₇	semidirect
515. #542	C₂²×C₇	semidirect
516. #540	C₂²×C₇	semidirect
517. #539	C₂²×C₇	semidirect
518. #539	C₂²×C₇	semidirect
519. #538	C₂²×C₇	semidirect
520. #538	C₂²×C₇	semidirect
521. #538	C₂²×C₇	semidirect
522. #537	C₂²×C₇	semidirect
523. #535	C₂²×C₇	semidirect
524. #534	C₂²×C₇	semidirect
525. #534	C₂²×C₇	semidirect
526. #533	C₂²×C₇	semidirect
527. #533	C₂²×C₇	semidirect
528. #533	C₂²×C₇	semidirect
529. #532	C₂²×C₇	semidirect
530. #532	C₂²×C₇	semidirect
531. #532	C₂²×C₇	semidirect
532. #532	C₂²×C₇	semidirect
533. #529	C₂²×C₇	semidirect
534. #529	C₂²×C₇	semidirect
535. #529	C₂²×C₇	semidirect
536. #529	C₂²×C₇	semidirect
537. #529	C₂²×C₇	semidirect
538. #529	C₂²×C₇	semidirect
539. #529	C₂²×C₇	semidirect
540. #529	C₂²×C₇	semidirect
541. #525	C₂²×C₇	semidirect
542. #525	C₂²×C₇	semidirect
543. #525	C₂²×C₇	semidirect
544. #525	C₂²×C₇	semidirect
545. #525	C₂²×C₇	semidirect
546. #525	C₂²×C₇	semidirect
547. #525	C₂²×C₇	semidirect
548. #525	C₂²×C₇	semidirect
549. #525	C₂²×C₇	semidirect
550. #525	C₂²×C₇	semidirect
551. #525	C₂²×C₇	semidirect
552. C₂×#123	C₂²×C₇	semidirect
553. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
554. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
555. C₂×#121	C₂²×C₇	semidirect
556. C₂×#121	C₂²×C₇	semidirect
557. C₂×#120	C₂²×C₇	semidirect
558. #520	C₂²×C₇	semidirect
559. #520	C₂²×C₇	semidirect
561. #518	C₂²×C₇	semidirect
562. #518	C₂²×C₇	semidirect
563. C₄×#41	C₂²×C₇	semidirect
564. C₄×#41	C₂²×C₇	semidirect
565. C₄×#41	C₂²×C₇	semidirect
566. C₄×#41	C₂²×C₇	semidirect
569. C₂×C₄×D₄	C₂²×C₇	semidirect
570. C₂×C₄×D₄	C₂²×C₇	semidirect
571. C₂×C₄×D₄	C₂²×C₇	semidirect
572. C₂×C₄×D₄	C₂²×C₇	semidirect
573. C₂×C₄×D₄	C₂²×C₇	semidirect
574. C₂×C₄×D₄	C₂²×C₇	semidirect
575. C₂×C₄×D₄	C₂²×C₇	semidirect
576. C₂×C₄×D₄	C₂²×C₇	semidirect
577. C₂×C₄×D₄	C₂²×C₇	semidirect
578. C₂×C₄×D₄	C₂²×C₇	semidirect
579. C₂×C₄×D₄	C₂²×C₇	semidirect
580. C₂×#117	C₂²×C₇	semidirect
581. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
582. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
583. C₂²×C₄²	C₂²×C₇	semidirect
602. C₂³×C₇	C₂×#41	semidirect
625. C₇×D₄	C₂×#41	semidirect
657. C₂×C₄×C₇	C₂×#41	semidirect
658. C₂×C₄×C₇	H(5,𝔽₂)	semidirect
680. C₂×#41	C₂³×C₇	semidirect
681. C₂×#41	C₂³×C₇	semidirect
682. C₂²×Q₈	C₂³×C₇	semidirect
693. C₂²×D₄	C₂³×C₇	semidirect
707. C₂³×C₄	C₂³×C₇	semidirect
708. C₄⋊Q₈	C₂³×C₇	semidirect
709. C₄⋊Q₈	C₂³×C₇	semidirect
710. C₄⋊Q₈	C₂³×C₇	semidirect
711. C₄⋊Q₈	C₂³×C₇	semidirect
713. #127	C₂³×C₇	semidirect
714. #126	C₂³×C₇	semidirect
715. #126	C₂³×C₇	semidirect
716. #126	C₂³×C₇	semidirect
717. #126	C₂³×C₇	semidirect
718. #126	C₂³×C₇	semidirect
719. #125	C₂³×C₇	semidirect
720. #125	C₂³×C₇	semidirect
721. #125	C₂³×C₇	semidirect
722. #125	C₂³×C₇	semidirect
723. #125	C₂³×C₇	semidirect
725. #124	C₂³×C₇	semidirect
726. #124	C₂³×C₇	semidirect
727. #124	C₂³×C₇	semidirect
728. #124	C₂³×C₇	semidirect
729. #124	C₂³×C₇	semidirect
735. #123	C₂³×C₇	semidirect
736. #123	C₂³×C₇	semidirect
737. #123	C₂³×C₇	semidirect
738. #123	C₂³×C₇	semidirect
739. #123	C₂³×C₇	semidirect
740. #123	C₂³×C₇	semidirect
749. C₂²⋊Q₈	C₂³×C₇	semidirect
750. C₂²⋊Q₈	C₂³×C₇	semidirect
751. C₂²⋊Q₈	C₂³×C₇	semidirect
752. C₂²⋊Q₈	C₂³×C₇	semidirect
753. C₂²⋊Q₈	C₂³×C₇	semidirect
754. C₂²⋊Q₈	C₂³×C₇	semidirect
755. C₂²⋊Q₈	C₂³×C₇	semidirect
756. C₂²⋊Q₈	C₂³×C₇	semidirect
769. #121	C₂³×C₇	semidirect
770. #121	C₂³×C₇	semidirect
771. #121	C₂³×C₇	semidirect
772. #121	C₂³×C₇	semidirect
773. #121	C₂³×C₇	semidirect
774. #121	C₂³×C₇	semidirect
775. #121	C₂³×C₇	semidirect
781. #120	C₂³×C₇	semidirect
782. C₄×Q₈	C₂³×C₇	semidirect
783. C₄×Q₈	C₂³×C₇	semidirect
784. C₄×Q₈	C₂³×C₇	semidirect
785. C₄×Q₈	C₂³×C₇	semidirect
786. C₄×Q₈	C₂³×C₇	semidirect
787. C₄×Q₈	C₂³×C₇	semidirect
788. C₄×Q₈	C₂³×C₇	semidirect
811. C₄×D₄	C₂³×C₇	semidirect
812. C₄×D₄	C₂³×C₇	semidirect
813. C₄×D₄	C₂³×C₇	semidirect
814. C₄×D₄	C₂³×C₇	semidirect
815. C₄×D₄	C₂³×C₇	semidirect
816. C₄×D₄	C₂³×C₇	semidirect
817. C₄×D₄	C₂³×C₇	semidirect
818. C₄×D₄	C₂³×C₇	semidirect
819. C₄×D₄	C₂³×C₇	semidirect
820. C₄×D₄	C₂³×C₇	semidirect
821. C₄×D₄	C₂³×C₇	semidirect
822. C₄×D₄	C₂³×C₇	semidirect
823. C₄×D₄	C₂³×C₇	semidirect
828. #117	C₂³×C₇	semidirect
829. #117	C₂³×C₇	semidirect
830. #117	C₂³×C₇	semidirect
831. #117	C₂³×C₇	semidirect
832. #117	C₂³×C₇	semidirect
833. #117	C₂³×C₇	semidirect
834. #117	C₂³×C₇	semidirect
840. C₂×C₄⋊C₄	C₂³×C₇	semidirect
841. C₂×C₄⋊C₄	C₂³×C₇	semidirect
842. C₂×C₄⋊C₄	C₂³×C₇	semidirect
843. C₂×C₄⋊C₄	C₂³×C₇	semidirect
844. C₂×C₄⋊C₄	C₂³×C₇	semidirect
854. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
855. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
856. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
865. C₂×C₄²	C₂³×C₇	semidirect
866. C₂×C₄²	C₂³×C₇	semidirect
935. C₂×D₄	C₇×#41	semidirect
1071. C₂³	C₂×C₇×#41	semidirect
1094. D₄	C₂×C₇×#41	semidirect
1126. C₂×C₄	C₂×C₇×#41	semidirect
1127. C₂×C₄	C₇×H(5,𝔽₂)	semidirect
1141. C₇	#62773	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×#3520	2
C₇×#3519	2
C₇×#3513	2
C₇×#3506	2
C₇×#3505	2
C₇×#3501	2
C₇×#3496	2
C₇×#3492	2
C₇×#3490	2
C₇×#3484	2
C₇×#3481	2
C₇×#3475	2
C₇×D₄×#41	2
C₇×#3460	2
C₇×#3459	2
C₇×#3444	2
C₂×C₇×#525	2
C₄×C₇×H(5,𝔽₂)	2
C₂²×C₄×C₇×D₄	2
#62773	7

Subgroups — C7×#62773 #13239989

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62773 #13239989