Subgroups — C₇×#35023 #13212239

Order 1792.

2070 conjugacy classes of subgroups.

The subgroup lattice has 1100 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2851	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#2850	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#2848	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#2847	C₂	1	1	yes	maximal, characteristic
5	C₇×#2643	C₂	1	2	yes	maximal, complemented
6	C₇×#2622	C₂	1	2	yes	maximal, complemented
7	C₇×#2597	C₂	1	2	yes	maximal, complemented
8	C₇×#2595	C₂	1	2	yes	maximal, complemented
9	C₇×#2578	C₂	1	2	yes	maximal, complemented
10	C₇×#2576	C₂	1	2	yes	maximal, complemented
11	C₇×#2495	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#2494	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#2490	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#2489	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#2427	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#2426	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#2421	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#2420	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#2321	C₂	1	2	yes	maximal, complemented
20	C₇×#2318	C₂	1	2	yes	maximal, complemented
21	C₄×C₇×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₇×#121	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×C₇×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂⁴×C₄×C₇	C₂²	1	1	yes	characteristic
25	C₂×C₇×#125	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
28	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
29	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
30	C₂×C₇×#121	C₂²	1	1	yes	characteristic
31	C₂×C₇×#121	C₂²	1	1	yes	characteristic
32	C₂×C₇×#121	C₂²	1	1	yes	characteristic
33	C₂×C₇×#120	C₂²	1	2	yes	—
34	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
36	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
38	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
39	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
40	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
41	C₇×#401	C₂²	1	2	yes	complemented
42	C₇×#400	C₂²	1	2	yes	complemented
43	C₇×#400	C₂²	1	2	yes	complemented
44	C₇×#400	C₂²	1	2	yes	complemented
45	C₇×#397	C₂²	1	2	yes	—
46	C₇×#397	C₂²	1	2	yes	—
47	C₇×#397	C₂²	1	2	yes	—
48	C₇×#397	C₂²	1	2	yes	—
49	C₇×#397	C₂²	1	2	yes	complemented
50	C₇×#397	C₂²	1	2	yes	complemented
51	C₇×#397	C₂²	1	2	yes	complemented
52	C₇×#396	C₂²	1	2	yes	complemented
53	C₇×#394	C₂²	1	2	yes	—
54	C₇×#394	C₂²	1	2	yes	—
55	C₇×#394	C₂²	1	2	yes	—
56	C₇×#394	C₂²	1	2	yes	—
57	C₇×#391	C₂²	1	1	yes	characteristic, complemented
58	C₇×#391	C₂²	1	1	yes	characteristic, complemented
59	C₇×#390	C₂²	1	2	yes	—
60	C₇×#390	C₂²	1	2	yes	—
61	C₇×#390	C₂²	1	1	yes	characteristic, complemented
62	C₇×#390	C₂²	1	1	yes	characteristic, complemented
63	C₇×#389	C₂²	1	1	yes	characteristic, complemented
64	C₇×#389	C₂²	1	1	yes	characteristic, complemented
65	C₇×#389	C₂²	1	1	yes	characteristic, complemented
66	C₇×#389	C₂²	1	1	yes	characteristic, complemented
67	C₇×#388	C₂²	1	2	yes	—
68	C₇×#388	C₂²	1	2	yes	—
69	C₇×#388	C₂²	1	2	yes	—
70	C₇×#388	C₂²	1	2	yes	—
71	C₇×#388	C₂²	1	2	yes	complemented
72	C₇×#388	C₂²	1	2	yes	complemented
73	C₇×#388	C₂²	1	2	yes	complemented
74	C₇×#388	C₂²	1	2	yes	complemented
75	C₇×#388	C₂²	1	2	yes	complemented
76	C₇×#387	C₂²	1	2	yes	complemented
77	C₇×#387	C₂²	1	2	yes	complemented
78	C₇×#387	C₂²	1	2	yes	complemented
79	C₇×#387	C₂²	1	2	yes	complemented
80	C₇×#387	C₂²	1	2	yes	complemented
81	C₇×#386	C₂²	1	2	yes	—
82	C₇×#386	C₂²	1	2	yes	—
83	C₇×#386	C₂²	1	2	yes	—
84	C₇×#386	C₂²	1	2	yes	—
85	C₇×#386	C₂²	1	2	yes	—
86	C₇×#386	C₂²	1	2	yes	—
87	C₇×#386	C₂²	1	2	yes	—
88	C₇×#386	C₂²	1	2	yes	—
89	C₇×#385	C₂²	1	2	yes	—
90	C₇×#385	C₂²	1	2	yes	—
91	C₇×#385	C₂²	1	2	yes	—
92	C₇×#385	C₂²	1	2	yes	—
93	C₇×#385	C₂²	1	2	yes	—
94	C₇×#385	C₂²	1	2	yes	—
95	C₇×#383	C₂²	1	2	yes	complemented
96	C₇×#382	C₂²	1	1	yes	characteristic, complemented
97	C₇×#382	C₂²	1	2	yes	complemented
98	C₇×#382	C₂²	1	1	yes	characteristic, complemented
99	C₇×#381	C₂²	1	2	yes	complemented
100	C₇×#380	C₂²	1	1	yes	characteristic
101	C₇×#380	C₂²	1	1	yes	characteristic
102	C₇×#380	C₂²	1	1	yes	characteristic
103	C₇×#380	C₂²	1	1	yes	characteristic
104	C₇×#380	C₂²	1	1	yes	characteristic
105	C₇×#380	C₂²	1	1	yes	characteristic
106	C₇×#380	C₂²	1	2	yes	complemented
107	C₇×#379	C₂²	1	2	yes	—
108	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
109	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
110	C₄×C₇×C₄⋊C₄	C₂²	1	2	yes	complemented
111	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
112	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
113	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
114	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
116	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
118	C₄×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
119	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₄×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
121	C₂×C₇×#95	C₂²	1	1	yes	characteristic
122	C₂×C₇×#95	C₂²	1	1	yes	characteristic
123	#35023	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
124	C₂⁵×C₇	C₂³	1	1	yes	characteristic
125	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
126	C₂²×C₇×D₄	C₂³	1	2	yes	—
127	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
128	C₂²×C₇×D₄	C₂³	1	2	yes	—
129	C₂²×C₇×D₄	C₂³	1	2	yes	—
130	C₂³×C₄×C₇	—	2	4	no	—
131	C₂³×C₄×C₇	—	4	2	no	—
132	C₂³×C₄×C₇	—	4	2	no	—
133	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
135	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
136	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
137	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₇	C₂³	1	2	yes	—
143	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
144	C₇×#125	—	4	2	no	—
145	C₇×#124	—	4	2	no	—
146	C₇×C₂²⋊Q₈	—	2	4	no	—
147	C₇×C₂²⋊Q₈	—	4	2	no	—
148	C₇×C₂²⋊Q₈	—	4	2	no	—
149	C₇×#121	—	2	4	no	—
150	C₇×#121	—	4	2	no	—
151	C₇×#121	—	4	2	no	—
152	C₇×#120	—	2	8	no	—
153	C₄×C₇×Q₈	—	4	2	no	—
154	C₄×C₇×D₄	—	2	8	no	—
155	C₄×C₇×D₄	—	4	2	no	—
156	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
157	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
158	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
159	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
160	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
161	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
162	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
163	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
164	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
165	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
166	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
167	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
168	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
169	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
170	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
171	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
172	C₂×C₇×C₂²⋊C₄	—	2	4	no	—
173	C₂×C₇×C₂²⋊C₄	—	2	4	no	—
174	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
175	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
176	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
177	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
178	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
179	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
181	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
182	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
183	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
184	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
186	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
187	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
188	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
189	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
192	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
193	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
194	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
195	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
196	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
197	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
198	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂×C₄²×C₇	—	4	2	no	—
202	C₂×C₄²×C₇	—	4	2	no	—
203	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
204	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
205	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₇	C₂³	1	2	yes	—
208	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₇	C₂³	1	2	yes	—
213	C₂×C₄²×C₇	C₂³	1	2	yes	—
214	C₇×#95	C₂³	1	1	yes	characteristic
215	C₇×#95	C₂³	1	1	yes	characteristic
216	C₇×#95	C₂³	1	1	yes	characteristic
217	C₇×#95	C₂³	1	1	yes	characteristic
218	C₇×#95	C₂³	1	1	yes	characteristic
219	C₇×#95	C₂³	1	1	yes	characteristic
220	C₇×#95	C₂³	1	1	yes	characteristic
221	C₇×#95	C₂³	1	1	yes	characteristic
222	C₇×#95	C₂³	1	2	yes	—
223	C₇×#95	C₂³	1	2	yes	—
224	C₇×#95	C₂³	1	2	yes	—
225	C₇×#95	C₂³	1	2	yes	—
226	C₇×#95	C₂³	1	2	yes	—
227	C₇×#95	C₂³	1	2	yes	—
228	C₇×#95	C₂³	1	2	yes	—
229	C₇×#95	C₂³	1	2	yes	—
230	C₇×#95	C₂³	1	2	yes	—
231	C₇×#95	C₂³	1	2	yes	—
232	C₇×#95	C₂³	1	2	yes	—
233	C₇×#95	C₂³	1	2	yes	—
234	C₇×#95	C₂³	1	2	yes	—
235	C₇×#95	C₂³	1	2	yes	—
236	C₇×#95	C₂³	1	2	yes	—
237	C₇×#95	C₂³	1	2	yes	—
238	C₇×#95	C₂³	1	2	yes	—
239	C₇×#95	C₂³	1	2	yes	—
240	C₇×#95	C₂³	1	2	yes	—
241	C₇×#95	C₂³	1	2	yes	—
242	#2851	C₂×C₇	1	1	yes	characteristic, complemented
243	#2850	C₂×C₇	1	1	yes	characteristic, complemented
244	#2848	C₂×C₇	1	1	yes	characteristic, complemented
245	#2847	C₂×C₇	1	1	yes	characteristic
246	#2643	C₂×C₇	1	2	yes	complemented
247	#2622	C₂×C₇	1	2	yes	complemented
248	#2597	C₂×C₇	1	2	yes	complemented
249	#2595	C₂×C₇	1	2	yes	complemented
250	#2578	C₂×C₇	1	2	yes	complemented
251	#2576	C₂×C₇	1	2	yes	complemented
252	#2495	C₂×C₇	1	1	yes	characteristic, complemented
253	#2494	C₂×C₇	1	1	yes	characteristic, complemented
254	#2490	C₂×C₇	1	1	yes	characteristic, complemented
255	#2489	C₂×C₇	1	1	yes	characteristic, complemented
256	#2427	C₂×C₇	1	1	yes	characteristic, complemented
257	#2426	C₂×C₇	1	1	yes	characteristic, complemented
258	#2421	C₂×C₇	1	1	yes	characteristic, complemented
259	#2420	C₂×C₇	1	1	yes	characteristic, complemented
260	#2321	C₂×C₇	1	2	yes	complemented
261	#2318	C₂×C₇	1	2	yes	complemented
262	C₄×C₂²⋊Q₈	C₂×C₇	1	1	yes	characteristic, complemented
263	C₄×#121	C₂×C₇	1	1	yes	characteristic, complemented
264	C₂×C₄×C₂²⋊C₄	C₂×C₇	1	1	yes	characteristic, complemented
265	C₂⁴×C₇	—	2	2	no	—
266	C₂⁴×C₇	—	2	2	no	—
267	C₂⁴×C₇	—	4	1	no	—
268	C₂⁴×C₇	—	4	1	no	—
269	C₂⁴×C₇	—	4	1	no	—
270	C₂⁴×C₇	—	4	1	no	—
271	C₂⁴×C₇	#41	1	4	yes	—
272	C₂⁴×C₇	C₂⁴	1	2	yes	—
273	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
274	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
275	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
276	C₂×C₇×Q₈	—	2	2	no	—
277	C₂×C₇×Q₈	—	2	2	no	—
278	C₂×C₇×Q₈	—	2	2	no	—
279	C₂×C₇×D₄	—	2	4	no	—
280	C₂×C₇×D₄	—	2	4	no	—
281	C₂×C₇×D₄	—	2	4	no	—
282	C₂×C₇×D₄	—	2	4	no	—
283	C₂×C₇×D₄	—	2	4	no	—
284	C₂×C₇×D₄	—	2	2	no	—
285	C₂×C₇×D₄	—	2	2	no	—
286	C₂×C₇×D₄	—	2	2	no	—
287	C₂×C₇×D₄	—	4	2	no	—
288	C₂×C₇×D₄	—	4	2	no	—
289	C₂×C₇×D₄	—	4	2	no	—
290	C₂×C₇×D₄	—	4	2	no	—
291	C₂²×C₄×C₇	—	2	2	no	—
292	C₂²×C₄×C₇	—	2	2	no	—
293	C₂²×C₄×C₇	—	2	2	no	—
294	C₂²×C₄×C₇	—	2	2	no	—
295	C₂²×C₄×C₇	—	2	2	no	—
296	C₂²×C₄×C₇	—	2	2	no	—
297	C₂²×C₄×C₇	—	2	2	no	—
298	C₂²×C₄×C₇	—	2	2	no	—
299	C₂²×C₄×C₇	—	2	2	no	—
300	C₂²×C₄×C₇	—	2	2	no	—
301	C₂²×C₄×C₇	—	2	2	no	—
302	C₂²×C₄×C₇	—	2	2	no	—
303	C₂²×C₄×C₇	—	2	2	no	—
304	C₂²×C₄×C₇	—	2	2	no	—
305	C₂²×C₄×C₇	—	2	4	no	—
306	C₂²×C₄×C₇	—	4	1	no	—
307	C₂²×C₄×C₇	—	4	1	no	—
308	C₂²×C₄×C₇	—	4	1	no	—
309	C₂²×C₄×C₇	—	4	1	no	—
310	C₂²×C₄×C₇	—	4	1	no	—
311	C₂²×C₄×C₇	—	4	1	no	—
312	C₂²×C₄×C₇	—	4	1	no	—
313	C₂²×C₄×C₇	—	4	1	no	—
314	C₂²×C₄×C₇	—	4	1	no	—
315	C₂²×C₄×C₇	—	4	1	no	—
316	C₂²×C₄×C₇	—	4	1	no	—
317	C₂²×C₄×C₇	—	4	1	no	—
318	C₂²×C₄×C₇	—	4	1	no	—
319	C₂²×C₄×C₇	—	4	1	no	—
320	C₂²×C₄×C₇	—	4	2	no	—
321	C₂²×C₄×C₇	—	4	2	no	—
322	C₂²×C₄×C₇	—	4	16	no	—
323	C₂²×C₄×C₇	#41	1	4	yes	—
324	C₂²×C₄×C₇	#41	1	4	yes	—
325	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
326	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
330	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
335	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
336	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
337	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
338	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
339	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
340	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
341	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
342	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
343	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
344	C₇×C₄⋊C₄	—	2	4	no	—
345	C₇×C₄⋊C₄	—	2	2	no	—
346	C₇×C₄⋊C₄	—	2	2	no	—
347	C₇×C₄⋊C₄	—	2	4	no	—
348	C₇×C₄⋊C₄	—	2	2	no	—
349	C₇×C₄⋊C₄	—	2	2	no	—
350	C₇×C₄⋊C₄	—	2	2	no	—
351	C₇×C₄⋊C₄	—	2	2	no	—
352	C₇×C₄⋊C₄	—	4	2	no	—
353	C₇×C₄⋊C₄	—	4	2	no	—
354	C₇×C₄⋊C₄	—	4	2	no	—
355	C₇×C₄⋊C₄	—	4	2	no	—
356	C₇×C₄⋊C₄	—	4	2	no	—
357	C₇×C₄⋊C₄	—	4	2	no	—
358	C₇×C₄⋊C₄	—	4	2	no	—
359	C₇×C₄⋊C₄	—	4	2	no	—
360	C₇×C₂²⋊C₄	—	2	2	no	—
361	C₇×C₂²⋊C₄	—	2	2	no	—
362	C₇×C₂²⋊C₄	—	2	2	no	—
363	C₇×C₂²⋊C₄	—	2	2	no	—
364	C₇×C₂²⋊C₄	—	2	4	no	—
365	C₇×C₂²⋊C₄	—	2	4	no	—
366	C₇×C₂²⋊C₄	—	2	4	no	—
367	C₇×C₂²⋊C₄	—	2	4	no	—
368	C₇×C₂²⋊C₄	—	2	4	no	—
369	C₇×C₂²⋊C₄	—	2	2	no	—
370	C₇×C₂²⋊C₄	—	2	2	no	—
371	C₇×C₂²⋊C₄	—	2	2	no	—
372	C₇×C₂²⋊C₄	—	2	2	no	—
373	C₇×C₂²⋊C₄	—	2	4	no	—
374	C₇×C₂²⋊C₄	—	2	4	no	—
375	C₇×C₂²⋊C₄	—	4	2	no	—
376	C₇×C₂²⋊C₄	—	4	2	no	—
377	C₇×C₂²⋊C₄	—	4	2	no	—
378	C₇×C₂²⋊C₄	—	4	2	no	—
379	C₇×C₂²⋊C₄	—	4	2	no	—
380	C₇×C₂²⋊C₄	—	4	2	no	—
381	C₇×C₂²⋊C₄	—	4	2	no	—
382	C₇×C₂²⋊C₄	—	4	2	no	—
383	C₇×C₂²⋊C₄	—	4	2	no	—
384	C₇×C₂²⋊C₄	—	4	2	no	—
385	C₇×C₂²⋊C₄	—	4	2	no	—
386	C₇×C₂²⋊C₄	—	4	2	no	—
387	C₄²×C₇	—	2	4	no	—
388	C₄²×C₇	—	2	2	no	—
389	C₄²×C₇	—	2	2	no	—
390	C₄²×C₇	—	2	2	no	—
391	C₄²×C₇	—	2	2	no	—
392	C₄²×C₇	—	4	1	no	—
393	C₄²×C₇	—	4	1	no	—
394	C₄²×C₇	—	4	1	no	—
395	C₄²×C₇	—	4	1	no	—
396	C₄²×C₇	—	4	2	no	—
397	C₄²×C₇	—	4	2	no	—
398	C₂⁴×C₄	C₂²×C₇	1	1	yes	characteristic
399	C₂×#125	C₂²×C₇	1	1	yes	characteristic, complemented
400	C₂×#124	C₂²×C₇	1	1	yes	characteristic, complemented
401	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
402	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
403	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
404	C₂×#121	C₂²×C₇	1	1	yes	characteristic
405	C₂×#121	C₂²×C₇	1	1	yes	characteristic
406	C₂×#121	C₂²×C₇	1	1	yes	characteristic
407	C₂×#120	C₂²×C₇	1	2	yes	—
408	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
409	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
410	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
411	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
412	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
413	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
414	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
415	#401	C₂²×C₇	1	2	yes	complemented
416	#400	C₂²×C₇	1	2	yes	complemented
417	#400	C₂²×C₇	1	2	yes	complemented
418	#400	C₂²×C₇	1	2	yes	complemented
419	#397	C₂²×C₇	1	2	yes	—
420	#397	C₂²×C₇	1	2	yes	—
421	#397	C₂²×C₇	1	2	yes	—
422	#397	C₂²×C₇	1	2	yes	—
423	#397	C₂²×C₇	1	2	yes	complemented
424	#397	C₂²×C₇	1	2	yes	complemented
425	#397	C₂²×C₇	1	2	yes	complemented
426	#396	C₂²×C₇	1	2	yes	complemented
427	#394	C₂²×C₇	1	2	yes	—
428	#394	C₂²×C₇	1	2	yes	—
429	#394	C₂²×C₇	1	2	yes	—
430	#394	C₂²×C₇	1	2	yes	—
431	#391	C₂²×C₇	1	1	yes	characteristic, complemented
432	#391	C₂²×C₇	1	1	yes	characteristic, complemented
433	#390	C₂²×C₇	1	2	yes	—
434	#390	C₂²×C₇	1	2	yes	—
435	#390	C₂²×C₇	1	1	yes	characteristic, complemented
436	#390	C₂²×C₇	1	1	yes	characteristic, complemented
437	#389	C₂²×C₇	1	1	yes	characteristic, complemented
438	#389	C₂²×C₇	1	1	yes	characteristic, complemented
439	#389	C₂²×C₇	1	1	yes	characteristic, complemented
440	#389	C₂²×C₇	1	1	yes	characteristic, complemented
441	#388	C₂²×C₇	1	2	yes	—
442	#388	C₂²×C₇	1	2	yes	—
443	#388	C₂²×C₇	1	2	yes	—
444	#388	C₂²×C₇	1	2	yes	—
445	#388	C₂²×C₇	1	2	yes	complemented
446	#388	C₂²×C₇	1	2	yes	complemented
447	#388	C₂²×C₇	1	2	yes	complemented
448	#388	C₂²×C₇	1	2	yes	complemented
449	#388	C₂²×C₇	1	2	yes	complemented
450	#387	C₂²×C₇	1	2	yes	complemented
451	#387	C₂²×C₇	1	2	yes	complemented
452	#387	C₂²×C₇	1	2	yes	complemented
453	#387	C₂²×C₇	1	2	yes	complemented
454	#387	C₂²×C₇	1	2	yes	complemented
455	#386	C₂²×C₇	1	2	yes	—
456	#386	C₂²×C₇	1	2	yes	—
457	#386	C₂²×C₇	1	2	yes	—
458	#386	C₂²×C₇	1	2	yes	—
459	#386	C₂²×C₇	1	2	yes	—
460	#386	C₂²×C₇	1	2	yes	—
461	#386	C₂²×C₇	1	2	yes	—
462	#386	C₂²×C₇	1	2	yes	—
463	#385	C₂²×C₇	1	2	yes	—
464	#385	C₂²×C₇	1	2	yes	—
465	#385	C₂²×C₇	1	2	yes	—
466	#385	C₂²×C₇	1	2	yes	—
467	#385	C₂²×C₇	1	2	yes	—
468	#385	C₂²×C₇	1	2	yes	—
469	#383	C₂²×C₇	1	2	yes	complemented
470	#382	C₂²×C₇	1	2	yes	complemented
471	#382	C₂²×C₇	1	1	yes	characteristic, complemented
472	#382	C₂²×C₇	1	1	yes	characteristic, complemented
473	#381	C₂²×C₇	1	2	yes	complemented
474	#380	C₂²×C₇	1	1	yes	characteristic
475	#380	C₂²×C₇	1	1	yes	characteristic
476	#380	C₂²×C₇	1	1	yes	characteristic
477	#380	C₂²×C₇	1	1	yes	characteristic
478	#380	C₂²×C₇	1	1	yes	characteristic
479	#380	C₂²×C₇	1	1	yes	characteristic
480	#380	C₂²×C₇	1	2	yes	complemented
481	#379	C₂²×C₇	1	2	yes	—
482	C₄×C₄⋊C₄	C₂²×C₇	1	2	yes	complemented
483	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
484	C₄×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
485	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
486	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
487	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
488	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
489	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
490	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
491	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
492	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
493	C₄×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
494	C₄×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
495	C₂×#95	C₂²×C₇	1	1	yes	characteristic
496	C₂×#95	C₂²×C₇	1	1	yes	characteristic
497	C₂³×C₇	—	2	1	no	—
498	C₂³×C₇	—	2	1	no	—
499	C₂³×C₇	—	2	1	no	—
500	C₂³×C₇	—	2	1	no	—
501	C₂³×C₇	—	2	8	no	—
502	C₂³×C₇	—	2	1	no	—
503	C₂³×C₇	—	2	1	no	—
504	C₂³×C₇	—	2	1	no	—
505	C₂³×C₇	—	2	1	no	—
506	C₂³×C₇	—	2	1	no	—
507	C₂³×C₇	—	2	1	no	—
508	C₂³×C₇	—	2	1	no	—
509	C₂³×C₇	—	2	1	no	—
510	C₂³×C₇	—	2	1	no	—
511	C₂³×C₇	—	2	1	no	—
512	C₂³×C₇	—	2	1	no	—
513	C₂³×C₇	—	2	1	no	—
514	C₂³×C₇	—	2	2	no	—
515	C₂³×C₇	—	2	2	no	—
516	C₂³×C₇	—	2	2	no	—
517	C₂³×C₇	—	2	2	no	—
518	C₂³×C₇	—	2	2	no	—
519	C₂³×C₇	—	2	2	no	—
520	C₂³×C₇	—	2	2	no	—
521	C₂³×C₇	—	4	4	no	—
522	C₂³×C₇	—	4	4	no	—
523	C₂³×C₇	—	4	4	no	—
524	C₂³×C₇	—	4	4	no	—
525	C₂³×C₇	—	4	4	no	—
526	C₂³×C₇	—	4	4	no	—
527	C₂³×C₇	C₂×#41	1	2	yes	—
528	C₂³×C₇	C₂×#41	1	2	yes	—
529	C₂³×C₇	C₂×#41	1	2	yes	—
530	C₂³×C₇	C₂×#41	1	2	yes	—
531	C₂³×C₇	C₂×#41	1	2	yes	—
532	C₂³×C₇	C₂⁵	1	1	yes	characteristic
533	C₇×Q₈	—	4	4	no	—
534	C₇×D₄	—	4	8	no	—
535	C₇×D₄	—	4	4	no	—
536	C₇×D₄	—	8	4	no	—
537	C₇×D₄	—	8	4	no	—
538	C₂×C₄×C₇	—	2	1	no	—
539	C₂×C₄×C₇	—	2	1	no	—
540	C₂×C₄×C₇	—	2	1	no	—
541	C₂×C₄×C₇	—	2	1	no	—
542	C₂×C₄×C₇	—	2	1	no	—
543	C₂×C₄×C₇	—	2	1	no	—
544	C₂×C₄×C₇	—	2	8	no	—
545	C₂×C₄×C₇	—	2	2	no	—
546	C₂×C₄×C₇	—	2	2	no	—
547	C₂×C₄×C₇	—	2	1	no	—
548	C₂×C₄×C₇	—	2	1	no	—
549	C₂×C₄×C₇	—	2	1	no	—
550	C₂×C₄×C₇	—	2	1	no	—
551	C₂×C₄×C₇	—	2	1	no	—
552	C₂×C₄×C₇	—	2	1	no	—
553	C₂×C₄×C₇	—	2	2	no	—
554	C₂×C₄×C₇	—	2	2	no	—
555	C₂×C₄×C₇	—	2	2	no	—
556	C₂×C₄×C₇	—	2	2	no	—
557	C₂×C₄×C₇	—	2	2	no	—
558	C₂×C₄×C₇	—	2	2	no	—
559	C₂×C₄×C₇	—	2	2	no	—
560	C₂×C₄×C₇	—	2	1	no	—
561	C₂×C₄×C₇	—	2	1	no	—
562	C₂×C₄×C₇	—	2	1	no	—
563	C₂×C₄×C₇	—	2	1	no	—
564	C₂×C₄×C₇	—	2	1	no	—
565	C₂×C₄×C₇	—	2	1	no	—
566	C₂×C₄×C₇	—	2	1	no	—
567	C₂×C₄×C₇	—	2	1	no	—
568	C₂×C₄×C₇	—	2	2	no	—
569	C₂×C₄×C₇	—	2	2	no	—
570	C₂×C₄×C₇	—	2	2	no	—
571	C₂×C₄×C₇	—	2	2	no	—
572	C₂×C₄×C₇	—	2	1	no	—
573	C₂×C₄×C₇	—	2	1	no	—
574	C₂×C₄×C₇	—	2	2	no	—
575	C₂×C₄×C₇	—	2	2	no	—
576	C₂×C₄×C₇	—	2	1	no	—
577	C₂×C₄×C₇	—	2	1	no	—
578	C₂×C₄×C₇	—	2	2	no	—
579	C₂×C₄×C₇	—	2	2	no	—
580	C₂×C₄×C₇	—	2	2	no	—
581	C₂×C₄×C₇	—	2	2	no	—
582	C₂×C₄×C₇	—	2	1	no	—
583	C₂×C₄×C₇	—	2	1	no	—
584	C₂×C₄×C₇	—	2	1	no	—
585	C₂×C₄×C₇	—	2	2	no	—
586	C₂×C₄×C₇	—	2	1	no	—
587	C₂×C₄×C₇	—	2	1	no	—
588	C₂×C₄×C₇	—	2	1	no	—
589	C₂×C₄×C₇	—	2	2	no	—
590	C₂×C₄×C₇	—	4	4	no	—
591	C₂×C₄×C₇	—	4	4	no	—
592	C₂×C₄×C₇	—	4	4	no	—
593	C₂×C₄×C₇	—	4	4	no	—
594	C₂×C₄×C₇	—	4	4	no	—
595	C₂×C₄×C₇	—	4	4	no	—
596	C₂×C₄×C₇	—	4	4	no	—
597	C₂×C₄×C₇	—	4	4	no	—
598	C₂×C₄×C₇	—	4	4	no	—
599	C₂×C₄×C₇	—	8	4	no	—
600	C₂×C₄×C₇	C₂×#41	1	2	yes	—
601	C₂×C₄×C₇	C₂×#41	1	2	yes	—
602	C₂×C₄×C₇	C₂×#41	1	2	yes	—
603	C₂×C₄×C₇	C₂×#41	1	2	yes	—
604	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
605	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
606	C₂⁵	C₂³×C₇	1	1	yes	characteristic
607	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
608	C₂²×D₄	C₂³×C₇	1	2	yes	—
609	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
610	C₂²×D₄	C₂³×C₇	1	2	yes	—
611	C₂²×D₄	C₂³×C₇	1	2	yes	—
612	C₂³×C₄	—	2	4	no	—
613	C₂³×C₄	—	4	2	no	—
614	C₂³×C₄	—	4	2	no	—
615	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
616	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
617	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
618	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
619	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
620	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
621	C₂³×C₄	C₂³×C₇	1	2	yes	—
622	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
623	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
624	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
625	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
626	#125	—	4	2	no	—
627	#124	—	4	2	no	—
628	C₂²⋊Q₈	—	2	4	no	—
629	C₂²⋊Q₈	—	4	2	no	—
630	C₂²⋊Q₈	—	4	2	no	—
631	#121	—	2	4	no	—
632	#121	—	4	2	no	—
633	#121	—	4	2	no	—
634	#120	—	2	8	no	—
635	C₄×Q₈	—	4	2	no	—
636	C₄×D₄	—	2	8	no	—
637	C₄×D₄	—	4	2	no	—
638	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
639	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
640	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
646	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
647	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
648	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
649	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
650	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
651	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
652	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
653	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
654	C₂×C₂²⋊C₄	—	2	4	no	—
655	C₂×C₂²⋊C₄	—	2	4	no	—
656	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
657	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
658	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
659	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
660	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
661	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
662	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
663	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
664	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
665	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
666	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
667	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
668	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
669	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
670	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
671	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
672	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
673	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
674	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
675	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
676	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
677	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
678	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
679	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
680	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
681	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
682	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
683	C₂×C₄²	—	4	2	no	—
684	C₂×C₄²	—	4	2	no	—
685	C₂×C₄²	C₂³×C₇	1	2	yes	—
686	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
687	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
688	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
689	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
690	C₂×C₄²	C₂³×C₇	1	2	yes	—
691	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
692	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
693	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
694	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
695	C₂×C₄²	C₂³×C₇	1	2	yes	—
696	#95	C₂³×C₇	1	1	yes	characteristic
697	#95	C₂³×C₇	1	1	yes	characteristic
698	#95	C₂³×C₇	1	1	yes	characteristic
699	#95	C₂³×C₇	1	1	yes	characteristic
700	#95	C₂³×C₇	1	1	yes	characteristic
701	#95	C₂³×C₇	1	1	yes	characteristic
702	#95	C₂³×C₇	1	1	yes	characteristic
703	#95	C₂³×C₇	1	1	yes	characteristic
704	#95	C₂³×C₇	1	2	yes	—
705	#95	C₂³×C₇	1	2	yes	—
706	#95	C₂³×C₇	1	2	yes	—
707	#95	C₂³×C₇	1	2	yes	—
708	#95	C₂³×C₇	1	2	yes	—
709	#95	C₂³×C₇	1	2	yes	—
710	#95	C₂³×C₇	1	2	yes	—
711	#95	C₂³×C₇	1	2	yes	—
712	#95	C₂³×C₇	1	2	yes	—
713	#95	C₂³×C₇	1	2	yes	—
714	#95	C₂³×C₇	1	2	yes	—
715	#95	C₂³×C₇	1	2	yes	—
716	#95	C₂³×C₇	1	2	yes	—
717	#95	C₂³×C₇	1	2	yes	—
718	#95	C₂³×C₇	1	2	yes	—
719	#95	C₂³×C₇	1	2	yes	—
720	#95	C₂³×C₇	1	2	yes	—
721	#95	C₂³×C₇	1	2	yes	—
722	#95	C₂³×C₇	1	2	yes	—
723	#95	C₂³×C₇	1	2	yes	—
724	C₂²×C₇	—	2	2	no	—
725	C₂²×C₇	—	2	2	no	—
726	C₂²×C₇	—	2	2	no	—
727	C₂²×C₇	—	2	2	no	—
728	C₂²×C₇	—	2	2	no	—
729	C₂²×C₇	—	2	2	no	—
730	C₂²×C₇	—	2	2	no	—
731	C₂²×C₇	—	2	2	no	—
732	C₂²×C₇	—	2	2	no	—
733	C₂²×C₇	—	2	2	no	—
734	C₂²×C₇	—	2	2	no	—
735	C₂²×C₇	—	2	2	no	—
736	C₂²×C₇	—	4	16	no	—
737	C₂²×C₇	—	4	1	no	—
738	C₂²×C₇	—	4	1	no	—
739	C₂²×C₇	—	4	1	no	—
740	C₂²×C₇	—	4	1	no	—
741	C₂²×C₇	—	4	1	no	—
742	C₂²×C₇	—	4	1	no	—
743	C₂²×C₇	—	4	1	no	—
744	C₂²×C₇	—	4	1	no	—
745	C₂²×C₇	—	4	2	no	—
746	C₂²×C₇	—	4	2	no	—
747	C₂²×C₇	—	4	2	no	—
748	C₂²×C₇	—	4	2	no	—
749	C₂²×C₇	—	4	2	no	—
750	C₂²×C₇	—	4	2	no	—
751	C₂²×C₇	—	4	2	no	—
752	C₂²×C₇	#529	1	4	yes	—
753	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
754	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
755	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
756	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
757	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
758	C₂²×C₇	#585	1	1	yes	characteristic
759	C₂²×C₇	#585	1	1	yes	characteristic
760	C₄×C₇	—	2	2	no	—
761	C₄×C₇	—	2	2	no	—
762	C₄×C₇	—	2	2	no	—
763	C₄×C₇	—	4	2	no	—
764	C₄×C₇	—	4	1	no	—
765	C₄×C₇	—	4	1	no	—
766	C₄×C₇	—	4	2	no	—
767	C₄×C₇	—	4	2	no	—
768	C₄×C₇	—	4	1	no	—
769	C₄×C₇	—	4	1	no	—
770	C₄×C₇	—	4	1	no	—
771	C₄×C₇	—	4	1	no	—
772	C₄×C₇	—	4	2	no	—
773	C₄×C₇	—	4	2	no	—
774	C₄×C₇	—	4	2	no	—
775	C₄×C₇	—	4	2	no	—
776	C₄×C₇	—	4	1	no	—
777	C₄×C₇	—	4	1	no	—
778	C₄×C₇	#538	1	4	yes	—
779	C₂⁴	—	2	2	no	—
780	C₂⁴	—	2	2	no	—
781	C₂⁴	—	4	1	no	—
782	C₂⁴	—	4	1	no	—
783	C₂⁴	—	4	1	no	—
784	C₂⁴	—	4	1	no	—
785	C₂⁴	C₇×#41	1	4	yes	—
786	C₂⁴	C₂⁴×C₇	1	2	yes	—
787	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
788	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
789	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
790	C₂×Q₈	—	2	2	no	—
791	C₂×Q₈	—	2	2	no	—
792	C₂×Q₈	—	2	2	no	—
793	C₂×D₄	—	2	4	no	—
794	C₂×D₄	—	2	4	no	—
795	C₂×D₄	—	2	4	no	—
796	C₂×D₄	—	2	4	no	—
797	C₂×D₄	—	2	4	no	—
798	C₂×D₄	—	2	2	no	—
799	C₂×D₄	—	2	2	no	—
800	C₂×D₄	—	2	2	no	—
801	C₂×D₄	—	4	2	no	—
802	C₂×D₄	—	4	2	no	—
803	C₂×D₄	—	4	2	no	—
804	C₂×D₄	—	4	2	no	—
805	C₂²×C₄	—	2	2	no	—
806	C₂²×C₄	—	2	2	no	—
807	C₂²×C₄	—	2	2	no	—
808	C₂²×C₄	—	2	2	no	—
809	C₂²×C₄	—	2	2	no	—
810	C₂²×C₄	—	2	2	no	—
811	C₂²×C₄	—	2	2	no	—
812	C₂²×C₄	—	2	2	no	—
813	C₂²×C₄	—	2	2	no	—
814	C₂²×C₄	—	2	2	no	—
815	C₂²×C₄	—	2	2	no	—
816	C₂²×C₄	—	2	2	no	—
817	C₂²×C₄	—	2	2	no	—
818	C₂²×C₄	—	2	2	no	—
819	C₂²×C₄	—	2	4	no	—
820	C₂²×C₄	—	4	1	no	—
821	C₂²×C₄	—	4	1	no	—
822	C₂²×C₄	—	4	1	no	—
823	C₂²×C₄	—	4	1	no	—
824	C₂²×C₄	—	4	1	no	—
825	C₂²×C₄	—	4	1	no	—
826	C₂²×C₄	—	4	1	no	—
827	C₂²×C₄	—	4	1	no	—
828	C₂²×C₄	—	4	1	no	—
829	C₂²×C₄	—	4	1	no	—
830	C₂²×C₄	—	4	1	no	—
831	C₂²×C₄	—	4	1	no	—
832	C₂²×C₄	—	4	1	no	—
833	C₂²×C₄	—	4	1	no	—
834	C₂²×C₄	—	4	2	no	—
835	C₂²×C₄	—	4	2	no	—
836	C₂²×C₄	—	4	16	no	—
837	C₂²×C₄	C₇×#41	1	4	yes	—
838	C₂²×C₄	C₇×#41	1	4	yes	—
839	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
840	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
841	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
842	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
843	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
844	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
845	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
846	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
847	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
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	2	yes	—
853	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
854	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
855	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
856	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
857	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
858	C₄⋊C₄	—	2	4	no	—
859	C₄⋊C₄	—	2	2	no	—
860	C₄⋊C₄	—	2	2	no	—
861	C₄⋊C₄	—	2	4	no	—
862	C₄⋊C₄	—	2	2	no	—
863	C₄⋊C₄	—	2	2	no	—
864	C₄⋊C₄	—	2	2	no	—
865	C₄⋊C₄	—	2	2	no	—
866	C₄⋊C₄	—	4	2	no	—
867	C₄⋊C₄	—	4	2	no	—
868	C₄⋊C₄	—	4	2	no	—
869	C₄⋊C₄	—	4	2	no	—
870	C₄⋊C₄	—	4	2	no	—
871	C₄⋊C₄	—	4	2	no	—
872	C₄⋊C₄	—	4	2	no	—
873	C₄⋊C₄	—	4	2	no	—
874	C₂²⋊C₄	—	2	2	no	—
875	C₂²⋊C₄	—	2	2	no	—
876	C₂²⋊C₄	—	2	2	no	—
877	C₂²⋊C₄	—	2	2	no	—
878	C₂²⋊C₄	—	2	4	no	—
879	C₂²⋊C₄	—	2	4	no	—
880	C₂²⋊C₄	—	2	4	no	—
881	C₂²⋊C₄	—	2	4	no	—
882	C₂²⋊C₄	—	2	4	no	—
883	C₂²⋊C₄	—	2	2	no	—
884	C₂²⋊C₄	—	2	2	no	—
885	C₂²⋊C₄	—	2	2	no	—
886	C₂²⋊C₄	—	2	2	no	—
887	C₂²⋊C₄	—	2	4	no	—
888	C₂²⋊C₄	—	2	4	no	—
889	C₂²⋊C₄	—	4	2	no	—
890	C₂²⋊C₄	—	4	2	no	—
891	C₂²⋊C₄	—	4	2	no	—
892	C₂²⋊C₄	—	4	2	no	—
893	C₂²⋊C₄	—	4	2	no	—
894	C₂²⋊C₄	—	4	2	no	—
895	C₂²⋊C₄	—	4	2	no	—
896	C₂²⋊C₄	—	4	2	no	—
897	C₂²⋊C₄	—	4	2	no	—
898	C₂²⋊C₄	—	4	2	no	—
899	C₂²⋊C₄	—	4	2	no	—
900	C₂²⋊C₄	—	4	2	no	—
901	C₄²	—	2	4	no	—
902	C₄²	—	2	2	no	—
903	C₄²	—	2	2	no	—
904	C₄²	—	2	2	no	—
905	C₄²	—	2	2	no	—
906	C₄²	—	4	1	no	—
907	C₄²	—	4	1	no	—
908	C₄²	—	4	1	no	—
909	C₄²	—	4	1	no	—
910	C₄²	—	4	2	no	—
911	C₄²	—	4	2	no	—
912	C₂×C₇	—	2	4	no	—
913	C₂×C₇	—	4	2	no	—
914	C₂×C₇	—	4	2	no	—
915	C₂×C₇	—	8	2	no	—
916	C₂×C₇	C₂×#529	1	1	yes	characteristic
917	C₂×C₇	C₂×#538	1	1	yes	characteristic
918	C₂×C₇	#3455	1	1	yes	characteristic
919	C₂×C₇	#3505	1	1	yes	characteristic
920	C₂×C₇	#3505	1	1	yes	characteristic
921	C₂×C₇	#3505	1	1	yes	characteristic
922	C₂×C₇	#3506	1	1	yes	characteristic
923	C₂³	—	2	1	no	—
924	C₂³	—	2	1	no	—
925	C₂³	—	2	1	no	—
926	C₂³	—	2	1	no	—
927	C₂³	—	2	1	no	—
928	C₂³	—	2	1	no	—
929	C₂³	—	2	1	no	—
930	C₂³	—	2	1	no	—
931	C₂³	—	2	1	no	—
932	C₂³	—	2	1	no	—
933	C₂³	—	2	1	no	—
934	C₂³	—	2	1	no	—
935	C₂³	—	2	1	no	—
936	C₂³	—	2	1	no	—
937	C₂³	—	2	1	no	—
938	C₂³	—	2	1	no	—
939	C₂³	—	2	8	no	—
940	C₂³	—	2	2	no	—
941	C₂³	—	2	2	no	—
942	C₂³	—	2	2	no	—
943	C₂³	—	2	2	no	—
944	C₂³	—	2	2	no	—
945	C₂³	—	2	2	no	—
946	C₂³	—	2	2	no	—
947	C₂³	—	4	4	no	—
948	C₂³	—	4	4	no	—
949	C₂³	—	4	4	no	—
950	C₂³	—	4	4	no	—
951	C₂³	—	4	4	no	—
952	C₂³	—	4	4	no	—
953	C₂³	C₂×C₇×#41	1	2	yes	—
954	C₂³	C₂×C₇×#41	1	2	yes	—
955	C₂³	C₂×C₇×#41	1	2	yes	—
956	C₂³	C₂×C₇×#41	1	2	yes	—
957	C₂³	C₂×C₇×#41	1	2	yes	—
958	C₂³	C₂⁵×C₇	1	1	yes	characteristic
959	Q₈	—	4	4	no	—
960	D₄	—	4	8	no	—
961	D₄	—	4	4	no	—
962	D₄	—	8	4	no	—
963	D₄	—	8	4	no	—
964	C₂×C₄	—	2	1	no	—
965	C₂×C₄	—	2	1	no	—
966	C₂×C₄	—	2	1	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	8	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	1	no	—
974	C₂×C₄	—	2	1	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	2	1	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	2	no	—
980	C₂×C₄	—	2	2	no	—
981	C₂×C₄	—	2	2	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	2	2	no	—
984	C₂×C₄	—	2	2	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	1	no	—
988	C₂×C₄	—	2	1	no	—
989	C₂×C₄	—	2	1	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	1	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	2	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	2	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	2	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	1	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	4	4	no	—
1017	C₂×C₄	—	4	4	no	—
1018	C₂×C₄	—	4	4	no	—
1019	C₂×C₄	—	4	4	no	—
1020	C₂×C₄	—	4	4	no	—
1021	C₂×C₄	—	4	4	no	—
1022	C₂×C₄	—	4	4	no	—
1023	C₂×C₄	—	4	4	no	—
1024	C₂×C₄	—	4	4	no	—
1025	C₂×C₄	—	8	4	no	—
1026	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1027	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1028	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1029	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1030	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1031	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1032	C₇	#35023	1	1	yes	characteristic, direct product factor, Sylow
1033	C₂²	—	2	2	no	—
1034	C₂²	—	2	2	no	—
1035	C₂²	—	2	2	no	—
1036	C₂²	—	2	2	no	—
1037	C₂²	—	2	2	no	—
1038	C₂²	—	2	2	no	—
1039	C₂²	—	2	2	no	—
1040	C₂²	—	2	2	no	—
1041	C₂²	—	2	2	no	—
1042	C₂²	—	2	2	no	—
1043	C₂²	—	2	2	no	—
1044	C₂²	—	2	2	no	—
1045	C₂²	—	4	16	no	—
1046	C₂²	—	4	1	no	—
1047	C₂²	—	4	1	no	—
1048	C₂²	—	4	1	no	—
1049	C₂²	—	4	1	no	—
1050	C₂²	—	4	1	no	—
1051	C₂²	—	4	1	no	—
1052	C₂²	—	4	1	no	—
1053	C₂²	—	4	1	no	—
1054	C₂²	—	4	2	no	—
1055	C₂²	—	4	2	no	—
1056	C₂²	—	4	2	no	—
1057	C₂²	—	4	2	no	—
1058	C₂²	—	4	2	no	—
1059	C₂²	—	4	2	no	—
1060	C₂²	—	4	2	no	—
1061	C₂²	C₇×#529	1	4	yes	—
1062	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1063	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1064	C₂²	C₂²×C₇×#41	1	1	yes	characteristic
1065	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1066	C₂²	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1067	C₂²	C₇×#585	1	1	yes	characteristic
1068	C₂²	C₇×#585	1	1	yes	characteristic
1069	C₄	—	2	2	no	—
1070	C₄	—	2	2	no	—
1071	C₄	—	2	2	no	—
1072	C₄	—	4	2	no	—
1073	C₄	—	4	1	no	—
1074	C₄	—	4	1	no	—
1075	C₄	—	4	2	no	—
1076	C₄	—	4	2	no	—
1077	C₄	—	4	1	no	—
1078	C₄	—	4	1	no	—
1079	C₄	—	4	1	no	—
1080	C₄	—	4	1	no	—
1081	C₄	—	4	2	no	—
1082	C₄	—	4	2	no	—
1083	C₄	—	4	2	no	—
1084	C₄	—	4	1	no	—
1085	C₄	—	4	1	no	—
1086	C₄	—	4	2	no	—
1087	C₄	C₇×#538	1	4	yes	—
1088	C₂	—	2	4	no	—
1089	C₂	—	4	2	no	—
1090	C₂	—	4	2	no	—
1091	C₂	—	8	2	no	—
1092	C₂	C₂×C₇×#529	1	1	yes	characteristic
1093	C₂	C₂×C₇×#538	1	1	yes	characteristic
1094	C₂	C₇×#3455	1	1	yes	characteristic
1095	C₂	C₇×#3505	1	1	yes	characteristic
1096	C₂	C₇×#3505	1	1	yes	characteristic
1097	C₂	C₇×#3505	1	1	yes	characteristic
1098	C₂	C₇×#3506	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇
prime radical	C₇×#2847	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#2851	C₂	semidirect
2. C₇×#2850	C₂	semidirect
3. C₇×#2848	C₂	semidirect
5. C₇×#2643	C₂	semidirect
6. C₇×#2622	C₂	semidirect
7. C₇×#2597	C₂	semidirect
8. C₇×#2595	C₂	semidirect
9. C₇×#2578	C₂	semidirect
10. C₇×#2576	C₂	semidirect
11. C₇×#2495	C₂	semidirect
12. C₇×#2494	C₂	semidirect
13. C₇×#2490	C₂	semidirect
14. C₇×#2489	C₂	semidirect
15. C₇×#2427	C₂	semidirect
16. C₇×#2426	C₂	semidirect
17. C₇×#2421	C₂	semidirect
18. C₇×#2420	C₂	semidirect
19. C₇×#2321	C₂	semidirect
20. C₇×#2318	C₂	semidirect
21. C₄×C₇×C₂²⋊Q₈	C₂	semidirect
22. C₄×C₇×#121	C₂	semidirect
23. C₂×C₄×C₇×C₂²⋊C₄	C₂	semidirect
25. C₂×C₇×#125	C₂²	semidirect
26. C₂×C₇×#124	C₂²	semidirect
34. C₂×C₄×C₇×Q₈	C₂²	semidirect
36. C₂×C₄×C₇×D₄	C₂²	semidirect
41. C₇×#401	C₂²	semidirect
42. C₇×#400	C₂²	semidirect
43. C₇×#400	C₂²	semidirect
44. C₇×#400	C₂²	semidirect
49. C₇×#397	C₂²	semidirect
50. C₇×#397	C₂²	semidirect
51. C₇×#397	C₂²	semidirect
52. C₇×#396	C₂²	semidirect
57. C₇×#391	C₂²	semidirect
58. C₇×#391	C₂²	semidirect
61. C₇×#390	C₂²	semidirect
62. C₇×#390	C₂²	semidirect
63. C₇×#389	C₂²	semidirect
64. C₇×#389	C₂²	semidirect
65. C₇×#389	C₂²	semidirect
66. C₇×#389	C₂²	semidirect
71. C₇×#388	C₂²	semidirect
72. C₇×#388	C₂²	semidirect
73. C₇×#388	C₂²	semidirect
74. C₇×#388	C₂²	semidirect
75. C₇×#388	C₂²	semidirect
76. C₇×#387	C₂²	semidirect
77. C₇×#387	C₂²	semidirect
78. C₇×#387	C₂²	semidirect
79. C₇×#387	C₂²	semidirect
80. C₇×#387	C₂²	semidirect
95. C₇×#383	C₂²	semidirect
96. C₇×#382	C₂²	semidirect
97. C₇×#382	C₂²	semidirect
98. C₇×#382	C₂²	semidirect
99. C₇×#381	C₂²	semidirect
106. C₇×#380	C₂²	semidirect
108. C₄×C₇×C₄⋊C₄	C₂²	semidirect
109. C₄×C₇×C₄⋊C₄	C₂²	semidirect
110. C₄×C₇×C₄⋊C₄	C₂²	semidirect
120. C₄×C₇×C₂²⋊C₄	C₂²	semidirect
123. #35023	C₇	direct (N × H)
242. #2851	C₂×C₇	semidirect
243. #2850	C₂×C₇	semidirect
244. #2848	C₂×C₇	semidirect
246. #2643	C₂×C₇	semidirect
247. #2622	C₂×C₇	semidirect
248. #2597	C₂×C₇	semidirect
249. #2595	C₂×C₇	semidirect
250. #2578	C₂×C₇	semidirect
251. #2576	C₂×C₇	semidirect
252. #2495	C₂×C₇	semidirect
253. #2494	C₂×C₇	semidirect
254. #2490	C₂×C₇	semidirect
255. #2489	C₂×C₇	semidirect
256. #2427	C₂×C₇	semidirect
257. #2426	C₂×C₇	semidirect
258. #2421	C₂×C₇	semidirect
259. #2420	C₂×C₇	semidirect
260. #2321	C₂×C₇	semidirect
261. #2318	C₂×C₇	semidirect
262. C₄×C₂²⋊Q₈	C₂×C₇	semidirect
263. C₄×#121	C₂×C₇	semidirect
264. C₂×C₄×C₂²⋊C₄	C₂×C₇	semidirect
399. C₂×#125	C₂²×C₇	semidirect
400. C₂×#124	C₂²×C₇	semidirect
408. C₂×C₄×Q₈	C₂²×C₇	semidirect
410. C₂×C₄×D₄	C₂²×C₇	semidirect
415. #401	C₂²×C₇	semidirect
416. #400	C₂²×C₇	semidirect
417. #400	C₂²×C₇	semidirect
418. #400	C₂²×C₇	semidirect
423. #397	C₂²×C₇	semidirect
424. #397	C₂²×C₇	semidirect
425. #397	C₂²×C₇	semidirect
426. #396	C₂²×C₇	semidirect
431. #391	C₂²×C₇	semidirect
432. #391	C₂²×C₇	semidirect
435. #390	C₂²×C₇	semidirect
436. #390	C₂²×C₇	semidirect
437. #389	C₂²×C₇	semidirect
438. #389	C₂²×C₇	semidirect
439. #389	C₂²×C₇	semidirect
440. #389	C₂²×C₇	semidirect
445. #388	C₂²×C₇	semidirect
446. #388	C₂²×C₇	semidirect
447. #388	C₂²×C₇	semidirect
448. #388	C₂²×C₇	semidirect
449. #388	C₂²×C₇	semidirect
450. #387	C₂²×C₇	semidirect
451. #387	C₂²×C₇	semidirect
452. #387	C₂²×C₇	semidirect
453. #387	C₂²×C₇	semidirect
454. #387	C₂²×C₇	semidirect
469. #383	C₂²×C₇	semidirect
470. #382	C₂²×C₇	semidirect
471. #382	C₂²×C₇	semidirect
472. #382	C₂²×C₇	semidirect
473. #381	C₂²×C₇	semidirect
480. #380	C₂²×C₇	semidirect
482. C₄×C₄⋊C₄	C₂²×C₇	semidirect
483. C₄×C₄⋊C₄	C₂²×C₇	semidirect
484. C₄×C₄⋊C₄	C₂²×C₇	semidirect
494. C₄×C₂²⋊C₄	C₂²×C₇	semidirect
1032. C₇	#35023	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×#2851	2
C₇×#2850	2
C₇×#2848	2
C₇×#2847	2
C₇×#2643	2
C₇×#2622	2
C₇×#2597	2
C₇×#2595	2
C₇×#2578	2
C₇×#2576	2
C₇×#2495	2
C₇×#2494	2
C₇×#2490	2
C₇×#2489	2
C₇×#2427	2
C₇×#2426	2
C₇×#2421	2
C₇×#2420	2
C₇×#2321	2
C₇×#2318	2
C₄×C₇×C₂²⋊Q₈	2
C₄×C₇×#121	2
C₂×C₄×C₇×C₂²⋊C₄	2
#35023	7

Subgroups — C7×#35023 #13212239

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#35023 #13212239