Subgroups — C₇×#61268 #13238484

Order 1792.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1140 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3494	C₂	1	1	yes	maximal, characteristic
3	C₇×#3357	C₂	1	2	yes	maximal, complemented
4	C₇×#3353	C₂	1	2	yes	maximal, complemented
5	C₇×#3351	C₂	1	2	yes	maximal, complemented
6	C₇×#3351	C₂	1	2	yes	maximal, complemented
7	C₇×#3350	C₂	1	2	yes	maximal, complemented
8	C₇×#3348	C₂	1	2	yes	maximal, complemented
9	C₇×#3346	C₂	1	2	yes	maximal, complemented
10	C₇×#3343	C₂	1	2	yes	maximal, complemented
11	C₇×#3164	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3097	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3096	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3095	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3094	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3082	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3081	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3057	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₇×#468	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#2949	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#2930	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#2913	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2911	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
25	C₂×C₇×#131	C₂²	1	1	yes	characteristic
26	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic
27	C₇×#556	C₂²	1	2	yes	complemented
28	C₇×#555	C₂²	1	2	yes	—
29	C₇×#554	C₂²	1	2	yes	complemented
30	C₇×#553	C₂²	1	2	yes	—
31	C₇×#553	C₂²	1	2	yes	—
32	C₇×#552	—	2	2	no	—
33	C₇×#552	C₂²	1	2	yes	complemented
34	C₇×#552	C₂²	1	2	yes	complemented
35	C₇×#551	—	2	2	no	—
36	C₇×#551	—	2	2	no	—
37	C₇×#547	C₂²	1	2	yes	—
38	C₇×#546	—	2	2	no	—
39	C₇×#544	C₂²	1	1	yes	characteristic
40	C₇×#544	C₂²	1	1	yes	characteristic
41	C₇×#542	—	2	1	no	—
42	C₇×#542	—	2	1	no	—
43	C₇×#541	—	2	1	no	—
44	C₇×#540	—	2	1	no	—
45	C₇×#536	C₂²	1	1	yes	characteristic
46	C₇×#535	C₂²	1	1	yes	characteristic
47	C₇×#533	—	2	1	no	—
48	C₇×#532	—	2	1	no	—
49	C₇×#529	—	2	1	no	—
50	C₇×#529	—	2	1	no	—
51	C₇×#525	C₂²	1	1	yes	characteristic
52	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
53	C₂×C₇×#121	C₂²	1	1	yes	characteristic
54	C₇×#520	C₂²	1	1	yes	characteristic
55	C₇×#520	C₂²	1	1	yes	characteristic
56	C₇×#519	C₂²	1	1	yes	characteristic
57	C₇×#518	C₂²	1	1	yes	characteristic
58	C₂×C₇×#117	C₂²	1	1	yes	characteristic
59	C₂×C₇×#117	C₂²	1	1	yes	characteristic
60	C₇×#501	C₂²	1	2	yes	complemented
61	C₇×#501	C₂²	1	2	yes	complemented
62	C₇×#500	C₂²	1	2	yes	complemented
63	C₇×#499	C₂²	1	2	yes	complemented
64	C₇×#485	C₂²	1	2	yes	complemented
65	C₇×#485	C₂²	1	2	yes	complemented
66	C₇×#485	C₂²	1	2	yes	complemented
67	C₇×#485	C₂²	1	2	yes	complemented
68	C₇×#484	C₂²	1	2	yes	complemented
69	C₇×#484	C₂²	1	2	yes	complemented
70	C₇×#483	C₂²	1	2	yes	complemented
71	C₇×#483	C₂²	1	2	yes	complemented
72	C₇×#482	C₂²	1	2	yes	—
73	C₇×#482	C₂²	1	2	yes	—
74	C₇×#482	C₂²	1	2	yes	complemented
75	C₇×#482	C₂²	1	2	yes	complemented
76	C₇×#481	C₂²	1	2	yes	—
77	C₇×#481	C₂²	1	2	yes	complemented
78	C₇×#480	C₂²	1	2	yes	—
79	C₇×#480	C₂²	1	2	yes	complemented
80	C₇×#479	C₂²	1	2	yes	complemented
81	C₇×#479	C₂²	1	2	yes	complemented
82	C₇×#478	C₂²	1	2	yes	complemented
83	C₇×#478	C₂²	1	2	yes	complemented
84	C₇×#477	C₂²	1	2	yes	complemented
85	C₇×#476	C₂²	1	2	yes	complemented
86	C₇×#475	C₂²	1	2	yes	complemented
87	C₇×#474	C₂²	1	2	yes	complemented
88	C₇×#468	C₂²	1	2	yes	—
89	C₇×#468	C₂²	1	2	yes	—
90	C₇×#468	C₂²	1	2	yes	—
91	C₇×#468	C₂²	1	2	yes	—
92	C₇×#468	C₂²	1	2	yes	complemented
93	C₇×#468	C₂²	1	2	yes	complemented
94	C₇×#465	C₂²	1	2	yes	complemented
95	C₇×#465	C₂²	1	2	yes	complemented
96	C₇×#440	C₂²	1	2	yes	complemented
97	C₇×#440	C₂²	1	2	yes	complemented
98	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
99	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
100	C₇×#436	C₂²	1	2	yes	complemented
101	C₇×#436	C₂²	1	2	yes	complemented
102	C₇×#435	C₂²	1	2	yes	complemented
103	C₇×#435	C₂²	1	2	yes	complemented
104	C₇×#428	C₂²	1	1	yes	characteristic
105	C₇×#428	C₂²	1	1	yes	characteristic
106	C₇×#428	C₂²	1	1	yes	characteristic
107	C₇×#428	C₂²	1	1	yes	characteristic
108	C₇×#428	C₂²	1	1	yes	characteristic, complemented
109	C₇×#428	C₂²	1	1	yes	characteristic, complemented
110	C₇×#428	C₂²	1	1	yes	characteristic, complemented
111	C₇×#428	C₂²	1	1	yes	characteristic, complemented
112	C₇×#428	C₂²	1	1	yes	characteristic, complemented
113	C₇×#428	C₂²	1	1	yes	characteristic, complemented
114	C₇×#428	C₂²	1	1	yes	characteristic, complemented
115	C₇×#428	C₂²	1	1	yes	characteristic, complemented
116	C₇×#428	C₂²	1	2	yes	complemented
117	C₇×#428	C₂²	1	2	yes	complemented
118	C₇×#427	C₂²	1	1	yes	characteristic
119	C₇×#427	C₂²	1	1	yes	characteristic
120	C₇×#427	C₂²	1	1	yes	characteristic
121	C₇×#427	C₂²	1	1	yes	characteristic
122	C₇×#427	C₂²	1	2	yes	complemented
123	C₂×C₇×#107	C₂²	1	1	yes	characteristic
124	C₂×C₇×#107	C₂²	1	2	yes	complemented
125	C₇×#424	C₂²	1	1	yes	characteristic
126	C₇×#419	C₂²	1	1	yes	characteristic
127	C₇×#419	C₂²	1	1	yes	characteristic
128	C₇×#418	C₂²	1	1	yes	characteristic
129	C₇×#418	C₂²	1	1	yes	characteristic
130	C₂×C₇×#103	C₂²	1	1	yes	characteristic
131	C₂×C₇×#102	C₂²	1	1	yes	characteristic
132	C₇×#408	C₂²	1	1	yes	characteristic
133	C₇×#407	C₂²	1	1	yes	characteristic
134	C₇×#405	C₂²	1	1	yes	characteristic
135	#61268	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₂×C₇×#41	—	2	2	no	—
137	C₂×C₇×#41	C₂³	1	1	yes	characteristic
138	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
139	C₂²×C₇×D₄	—	2	1	no	—
140	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
142	C₂×C₇×SD₁₆	—	2	4	no	—
143	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
144	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
145	C₇×#131	—	2	4	no	—
146	C₂×C₇×M₁₆	—	2	4	no	—
147	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
148	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₇×M₁₆	C₂³	1	2	yes	—
152	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
153	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
154	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
155	C₂²×C₇×C₈	C₂³	1	2	yes	—
156	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
157	C₇×C₄⋊Q₈	—	2	1	no	—
158	C₇×C₄⋊Q₈	—	2	1	no	—
159	C₇×C₄⋊Q₈	—	2	1	no	—
160	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
161	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
162	C₇×#127	—	2	1	no	—
163	C₇×#126	—	2	2	no	—
164	C₇×#126	—	2	2	no	—
165	C₇×#126	—	2	2	no	—
166	C₇×#126	—	2	2	no	—
167	C₇×#126	—	2	2	no	—
168	C₇×#126	—	2	2	no	—
169	C₇×#125	—	2	1	no	—
170	C₇×#125	—	2	1	no	—
171	C₇×#125	—	2	2	no	—
172	C₇×#125	—	2	2	no	—
173	C₇×#125	—	2	2	no	—
174	C₇×#125	C₂³	1	2	yes	—
175	C₇×#125	C₂³	1	2	yes	—
176	C₇×#124	—	2	1	no	—
177	C₇×#124	—	2	1	no	—
178	C₇×#124	—	2	2	no	—
179	C₇×#124	—	2	2	no	—
180	C₇×#124	—	2	2	no	—
181	C₇×#123	—	2	2	no	—
182	C₇×#123	—	2	2	no	—
183	C₇×#123	—	2	2	no	—
184	C₇×#123	—	2	2	no	—
185	C₇×#123	—	2	2	no	—
186	C₇×#123	—	2	2	no	—
187	C₇×#123	—	2	2	no	—
188	C₇×#123	D₄	1	2	yes	—
189	C₇×C₂²⋊Q₈	—	2	1	no	—
190	C₇×C₂²⋊Q₈	—	2	1	no	—
191	C₇×C₂²⋊Q₈	—	2	2	no	—
192	C₇×C₂²⋊Q₈	—	2	2	no	—
193	C₇×C₂²⋊Q₈	—	2	2	no	—
194	C₇×C₂²⋊Q₈	—	2	2	no	—
195	C₇×C₂²⋊Q₈	—	2	2	no	—
196	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
197	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
198	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
199	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
200	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
201	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
202	C₇×#121	—	2	2	no	—
203	C₇×#121	—	2	2	no	—
204	C₇×#121	—	2	2	no	—
205	C₇×#121	—	2	1	no	—
206	C₇×#121	—	2	1	no	—
207	C₇×#121	D₄	1	1	yes	characteristic
208	C₇×#121	D₄	1	1	yes	characteristic
209	C₇×#121	C₂³	1	2	yes	—
210	C₇×#121	C₂³	1	2	yes	—
211	C₇×#121	C₂³	1	2	yes	—
212	C₇×#121	C₂³	1	2	yes	—
213	C₇×#120	—	2	2	no	—
214	C₇×#120	D₄	1	2	yes	—
215	C₄×C₇×Q₈	—	2	1	no	—
216	C₄×C₇×Q₈	—	2	1	no	—
217	C₄×C₇×Q₈	—	2	1	no	—
218	C₄×C₇×Q₈	—	2	1	no	—
219	C₄×C₇×Q₈	—	2	2	no	—
220	C₄×C₇×Q₈	C₂³	1	2	yes	—
221	C₄×C₇×Q₈	C₂³	1	2	yes	—
222	C₄×C₇×D₄	—	2	1	no	—
223	C₄×C₇×D₄	—	2	1	no	—
224	C₄×C₇×D₄	—	2	2	no	—
225	C₄×C₇×D₄	—	2	2	no	—
226	C₄×C₇×D₄	—	2	2	no	—
227	C₄×C₇×D₄	—	2	1	no	—
228	C₄×C₇×D₄	—	2	1	no	—
229	C₄×C₇×D₄	—	2	2	no	—
230	C₄×C₇×D₄	—	2	2	no	—
231	C₄×C₇×D₄	C₂³	1	2	yes	—
232	C₄×C₇×D₄	C₂³	1	2	yes	—
233	C₄×C₇×D₄	C₂³	1	2	yes	—
234	C₄×C₇×D₄	C₂³	1	2	yes	—
235	C₇×#117	—	2	1	no	—
236	C₇×#117	—	2	1	no	—
237	C₇×#117	—	2	1	no	—
238	C₇×#117	—	2	1	no	—
239	C₇×#117	—	2	2	no	—
240	C₇×#117	—	2	2	no	—
241	C₇×#117	—	2	2	no	—
242	C₇×#117	—	2	2	no	—
243	C₇×#117	C₂³	1	1	yes	characteristic
244	C₇×#117	C₂³	1	1	yes	characteristic
245	C₇×#117	C₂³	1	2	yes	—
246	C₇×#117	C₂³	1	1	yes	characteristic
247	C₇×#117	C₂³	1	1	yes	characteristic
248	C₇×#117	C₂³	1	2	yes	—
249	C₇×#117	C₂³	1	1	yes	characteristic
250	C₇×#117	C₂³	1	1	yes	characteristic
251	C₇×#117	C₂³	1	1	yes	characteristic
252	C₇×#117	C₂³	1	1	yes	characteristic
253	C₇×#117	C₂³	1	1	yes	characteristic
254	C₂×C₇×C₄⋊C₄	—	2	1	no	—
255	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
257	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
260	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
264	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
265	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
266	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
267	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
268	C₂×C₄²×C₇	—	2	1	no	—
269	C₂×C₄²×C₇	—	2	1	no	—
270	C₇×#107	C₂³	1	2	yes	—
271	C₇×#107	C₂³	1	2	yes	—
272	C₇×#107	C₂³	1	1	yes	characteristic
273	C₇×#107	C₂³	1	1	yes	characteristic
274	C₇×#107	C₂³	1	1	yes	characteristic
275	C₇×#107	C₂³	1	2	yes	—
276	C₇×#107	C₂³	1	1	yes	characteristic
277	C₇×#107	C₂³	1	2	yes	—
278	C₇×#107	C₂³	1	1	yes	characteristic
279	C₇×#107	C₂³	1	1	yes	characteristic
280	C₇×#107	C₂³	1	2	yes	—
281	C₇×#107	C₂³	1	2	yes	—
282	C₇×#107	C₂³	1	1	yes	characteristic
283	C₇×#107	C₂³	1	1	yes	characteristic
284	C₇×#106	C₂³	1	1	yes	characteristic
285	C₇×#106	C₂³	1	2	yes	—
286	C₇×#106	C₂³	1	1	yes	characteristic
287	C₇×#106	C₂³	1	2	yes	—
288	C₇×#106	C₂³	1	1	yes	characteristic
289	C₇×#106	C₂³	1	1	yes	characteristic
290	C₇×#106	C₂³	1	2	yes	—
291	C₇×#106	C₂³	1	2	yes	—
292	C₇×#106	C₂³	1	1	yes	characteristic
293	C₇×#106	C₂³	1	1	yes	characteristic
294	C₇×#106	C₂³	1	1	yes	characteristic
295	C₇×#106	C₂³	1	1	yes	characteristic
296	C₇×C₄⋊C₈	C₂³	1	2	yes	—
297	C₇×C₄⋊C₈	C₂³	1	2	yes	—
298	C₇×#103	C₂³	1	2	yes	—
299	C₇×#103	C₂³	1	2	yes	—
300	C₇×#103	C₂³	1	2	yes	—
301	C₇×#103	C₂³	1	2	yes	—
302	C₇×#103	C₂³	1	2	yes	—
303	C₇×#103	C₂³	1	2	yes	—
304	C₇×#102	C₂³	1	2	yes	—
305	C₇×#102	C₂³	1	2	yes	—
306	C₇×#102	C₂³	1	2	yes	—
307	C₇×#102	C₂³	1	2	yes	—
308	C₇×#102	C₂³	1	2	yes	—
309	C₇×#102	C₂³	1	2	yes	—
310	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
312	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
313	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
314	C₇×#97	C₂³	1	2	yes	—
315	C₄×C₇×C₈	C₂³	1	2	yes	—
316	#3495	C₂×C₇	1	1	yes	characteristic, complemented
317	#3494	C₂×C₇	1	1	yes	characteristic
318	#3357	C₂×C₇	1	2	yes	complemented
319	#3353	C₂×C₇	1	2	yes	complemented
320	#3351	C₂×C₇	1	2	yes	complemented
321	#3351	C₂×C₇	1	2	yes	complemented
322	#3350	C₂×C₇	1	2	yes	complemented
323	#3348	C₂×C₇	1	2	yes	complemented
324	#3346	C₂×C₇	1	2	yes	complemented
325	#3343	C₂×C₇	1	2	yes	complemented
326	#3164	C₂×C₇	1	1	yes	characteristic, complemented
327	#3097	C₂×C₇	1	1	yes	characteristic, complemented
328	#3096	C₂×C₇	1	1	yes	characteristic, complemented
329	#3095	C₂×C₇	1	1	yes	characteristic, complemented
330	#3094	C₂×C₇	1	1	yes	characteristic, complemented
331	#3082	C₂×C₇	1	1	yes	characteristic, complemented
332	#3081	C₂×C₇	1	1	yes	characteristic, complemented
333	#3057	C₂×C₇	1	1	yes	characteristic, complemented
334	C₂×#468	C₂×C₇	1	1	yes	characteristic, complemented
335	#2949	C₂×C₇	1	1	yes	characteristic, complemented
336	#2930	C₂×C₇	1	1	yes	characteristic, complemented
337	#2913	C₂×C₇	1	1	yes	characteristic, complemented
338	#2911	C₂×C₇	1	1	yes	characteristic, complemented
339	C₂⁴×C₇	—	2	1	no	—
340	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
341	C₇×#41	—	2	2	no	—
342	C₇×#41	—	2	2	no	—
343	C₇×#41	—	8	4	no	—
344	C₂×C₇×Q₈	—	2	1	no	—
345	C₂×C₇×Q₈	—	2	2	no	—
346	C₂×C₇×Q₈	—	2	2	no	—
347	C₂×C₇×Q₈	—	2	2	no	—
348	C₂×C₇×Q₈	—	2	2	no	—
349	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
350	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
351	C₂×C₇×D₄	—	2	2	no	—
352	C₂×C₇×D₄	—	2	2	no	—
353	C₂×C₇×D₄	—	2	2	no	—
354	C₂×C₇×D₄	—	2	2	no	—
355	C₂×C₇×D₄	—	2	1	no	—
356	C₂×C₇×D₄	—	2	2	no	—
357	C₂×C₇×D₄	—	2	2	no	—
358	C₂×C₇×D₄	—	8	2	no	—
359	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
360	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
361	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
362	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
363	C₂×C₇×D₄	C₂⁴	1	2	yes	—
364	C₂²×C₄×C₇	—	2	2	no	—
365	C₂²×C₄×C₇	—	2	2	no	—
366	C₂²×C₄×C₇	—	2	1	no	—
367	C₂²×C₄×C₇	—	2	1	no	—
368	C₂²×C₄×C₇	—	2	1	no	—
369	C₂²×C₄×C₇	—	2	1	no	—
370	C₂²×C₄×C₇	—	2	1	no	—
371	C₂²×C₄×C₇	—	2	1	no	—
372	C₂²×C₄×C₇	—	2	1	no	—
373	C₂²×C₄×C₇	—	2	2	no	—
374	C₂²×C₄×C₇	—	2	2	no	—
375	C₂²×C₄×C₇	—	2	2	no	—
376	C₂²×C₄×C₇	—	2	2	no	—
377	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
378	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
379	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
380	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
381	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
384	C₇×SD₁₆	—	2	4	no	—
385	C₇×SD₁₆	—	2	4	no	—
386	C₇×M₁₆	—	2	2	no	—
387	C₇×M₁₆	—	2	2	no	—
388	C₇×M₁₆	—	2	2	no	—
389	C₇×M₁₆	—	2	2	no	—
390	C₇×M₁₆	—	2	2	no	—
391	C₇×M₁₆	—	2	2	no	—
392	C₇×M₁₆	—	2	4	no	—
393	C₂×C₇×C₈	—	2	2	no	—
394	C₂×C₇×C₈	—	2	4	no	—
395	C₂×C₇×C₈	#41	1	4	yes	complemented
396	C₂×C₇×C₈	C₂⁴	1	2	yes	—
397	C₂×C₇×C₈	C₂⁴	1	2	yes	—
398	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
399	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
400	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
401	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
402	C₇×C₄⋊C₄	—	2	2	no	—
403	C₇×C₄⋊C₄	—	2	2	no	—
404	C₇×C₄⋊C₄	—	2	1	no	—
405	C₇×C₄⋊C₄	—	2	1	no	—
406	C₇×C₄⋊C₄	—	2	1	no	—
407	C₇×C₄⋊C₄	—	2	1	no	—
408	C₇×C₄⋊C₄	—	2	1	no	—
409	C₇×C₄⋊C₄	—	2	1	no	—
410	C₇×C₄⋊C₄	—	2	2	no	—
411	C₇×C₄⋊C₄	—	2	2	no	—
412	C₇×C₄⋊C₄	—	2	2	no	—
413	C₇×C₄⋊C₄	—	2	2	no	—
414	C₇×C₄⋊C₄	—	2	2	no	—
415	C₇×C₄⋊C₄	—	2	2	no	—
416	C₇×C₄⋊C₄	—	2	2	no	—
417	C₇×C₄⋊C₄	—	2	2	no	—
418	C₇×C₄⋊C₄	—	2	2	no	—
419	C₇×C₄⋊C₄	—	2	2	no	—
420	C₇×C₄⋊C₄	—	2	2	no	—
421	C₇×C₄⋊C₄	—	2	2	no	—
422	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
423	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
424	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
425	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
426	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
427	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
428	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
429	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
430	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
431	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
432	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
433	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
434	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
435	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
436	C₇×C₂²⋊C₄	—	2	1	no	—
437	C₇×C₂²⋊C₄	—	2	1	no	—
438	C₇×C₂²⋊C₄	—	2	1	no	—
439	C₇×C₂²⋊C₄	—	2	1	no	—
440	C₇×C₂²⋊C₄	—	2	1	no	—
441	C₇×C₂²⋊C₄	—	2	1	no	—
442	C₇×C₂²⋊C₄	—	2	1	no	—
443	C₇×C₂²⋊C₄	—	2	1	no	—
444	C₇×C₂²⋊C₄	—	2	2	no	—
445	C₇×C₂²⋊C₄	—	2	2	no	—
446	C₇×C₂²⋊C₄	—	2	2	no	—
447	C₇×C₂²⋊C₄	—	2	2	no	—
448	C₇×C₂²⋊C₄	—	2	2	no	—
449	C₇×C₂²⋊C₄	—	2	2	no	—
450	C₇×C₂²⋊C₄	—	2	2	no	—
451	C₇×C₂²⋊C₄	—	2	2	no	—
452	C₇×C₂²⋊C₄	—	2	2	no	—
453	C₇×C₂²⋊C₄	—	2	2	no	—
454	C₇×C₂²⋊C₄	—	2	2	no	—
455	C₇×C₂²⋊C₄	—	2	2	no	—
456	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
457	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
458	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
459	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
460	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
461	C₄²×C₇	—	2	1	no	—
462	C₄²×C₇	—	2	1	no	—
463	C₄²×C₇	—	2	1	no	—
464	C₄²×C₇	—	2	1	no	—
465	C₄²×C₇	—	2	1	no	—
466	C₄²×C₇	—	2	1	no	—
467	C₄²×C₇	—	2	1	no	—
468	C₄²×C₇	—	2	1	no	—
469	C₄²×C₇	—	2	2	no	—
470	C₄²×C₇	—	2	2	no	—
471	C₄²×C₇	—	2	2	no	—
472	C₄²×C₇	—	2	2	no	—
473	C₄²×C₇	C₂⁴	1	2	yes	—
474	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
475	C₂×#131	C₂²×C₇	1	1	yes	characteristic
476	C₂²×M₁₆	C₂²×C₇	1	1	yes	characteristic
477	#556	C₂²×C₇	1	2	yes	complemented
478	#555	C₂²×C₇	1	2	yes	—
479	#554	C₂²×C₇	1	2	yes	complemented
480	#553	C₂²×C₇	1	2	yes	—
481	#553	C₂²×C₇	1	2	yes	—
482	#552	—	2	2	no	—
483	#552	C₂²×C₇	1	2	yes	complemented
484	#552	C₂²×C₇	1	2	yes	complemented
485	#551	—	2	2	no	—
486	#551	—	2	2	no	—
487	#547	C₂²×C₇	1	2	yes	—
488	#546	—	2	2	no	—
489	#544	C₂²×C₇	1	1	yes	characteristic
490	#544	C₂²×C₇	1	1	yes	characteristic
491	#542	—	2	1	no	—
492	#542	—	2	1	no	—
493	#541	—	2	1	no	—
494	#540	—	2	1	no	—
495	#536	C₂²×C₇	1	1	yes	characteristic
496	#535	C₂²×C₇	1	1	yes	characteristic
497	#533	—	2	1	no	—
498	#532	—	2	1	no	—
499	#529	—	2	1	no	—
500	#529	—	2	1	no	—
501	#525	C₂²×C₇	1	1	yes	characteristic
502	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
503	C₂×#121	C₂²×C₇	1	1	yes	characteristic
504	#520	C₂²×C₇	1	1	yes	characteristic
505	#520	C₂²×C₇	1	1	yes	characteristic
506	#519	C₂²×C₇	1	1	yes	characteristic
507	#518	C₂²×C₇	1	1	yes	characteristic
508	C₂×#117	C₂²×C₇	1	1	yes	characteristic
509	C₂×#117	C₂²×C₇	1	1	yes	characteristic
510	#501	C₂²×C₇	1	2	yes	complemented
511	#501	C₂²×C₇	1	2	yes	complemented
512	#500	C₂²×C₇	1	2	yes	complemented
513	#499	C₂²×C₇	1	2	yes	complemented
514	#485	C₂²×C₇	1	2	yes	complemented
515	#485	C₂²×C₇	1	2	yes	complemented
516	#485	C₂²×C₇	1	2	yes	complemented
517	#485	C₂²×C₇	1	2	yes	complemented
518	#484	C₂²×C₇	1	2	yes	complemented
519	#484	C₂²×C₇	1	2	yes	complemented
520	#483	C₂²×C₇	1	2	yes	complemented
521	#483	C₂²×C₇	1	2	yes	complemented
522	#482	C₂²×C₇	1	2	yes	—
523	#482	C₂²×C₇	1	2	yes	—
524	#482	C₂²×C₇	1	2	yes	complemented
525	#482	C₂²×C₇	1	2	yes	complemented
526	#481	C₂²×C₇	1	2	yes	—
527	#481	C₂²×C₇	1	2	yes	complemented
528	#480	C₂²×C₇	1	2	yes	—
529	#480	C₂²×C₇	1	2	yes	complemented
530	#479	C₂²×C₇	1	2	yes	complemented
531	#479	C₂²×C₇	1	2	yes	complemented
532	#478	C₂²×C₇	1	2	yes	complemented
533	#478	C₂²×C₇	1	2	yes	complemented
534	#477	C₂²×C₇	1	2	yes	complemented
535	#476	C₂²×C₇	1	2	yes	complemented
536	#475	C₂²×C₇	1	2	yes	complemented
537	#474	C₂²×C₇	1	2	yes	complemented
538	#468	C₂²×C₇	1	2	yes	—
539	#468	C₂²×C₇	1	2	yes	—
540	#468	C₂²×C₇	1	2	yes	—
541	#468	C₂²×C₇	1	2	yes	—
542	#468	C₂²×C₇	1	2	yes	complemented
543	#468	C₂²×C₇	1	2	yes	complemented
544	#465	C₂²×C₇	1	2	yes	complemented
545	#465	C₂²×C₇	1	2	yes	complemented
546	#440	C₂²×C₇	1	2	yes	complemented
547	#440	C₂²×C₇	1	2	yes	complemented
548	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
549	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
550	#436	C₂²×C₇	1	2	yes	complemented
551	#436	C₂²×C₇	1	2	yes	complemented
552	#435	C₂²×C₇	1	2	yes	complemented
553	#435	C₂²×C₇	1	2	yes	complemented
554	#428	C₂²×C₇	1	1	yes	characteristic
555	#428	C₂²×C₇	1	1	yes	characteristic
556	#428	C₂²×C₇	1	1	yes	characteristic
557	#428	C₂²×C₇	1	1	yes	characteristic
558	#428	C₂²×C₇	1	1	yes	characteristic, complemented
559	#428	C₂²×C₇	1	1	yes	characteristic, complemented
560	#428	C₂²×C₇	1	1	yes	characteristic, complemented
561	#428	C₂²×C₇	1	1	yes	characteristic, complemented
562	#428	C₂²×C₇	1	1	yes	characteristic, complemented
563	#428	C₂²×C₇	1	1	yes	characteristic, complemented
564	#428	C₂²×C₇	1	2	yes	complemented
565	#428	C₂²×C₇	1	2	yes	complemented
566	#428	C₂²×C₇	1	1	yes	characteristic, complemented
567	#428	C₂²×C₇	1	1	yes	characteristic, complemented
568	#427	C₂²×C₇	1	1	yes	characteristic
569	#427	C₂²×C₇	1	1	yes	characteristic
570	#427	C₂²×C₇	1	1	yes	characteristic
571	#427	C₂²×C₇	1	1	yes	characteristic
572	#427	C₂²×C₇	1	2	yes	complemented
573	C₂×#107	C₂²×C₇	1	1	yes	characteristic
574	C₂×#107	C₂²×C₇	1	2	yes	complemented
575	#424	C₂²×C₇	1	1	yes	characteristic
576	#419	C₂²×C₇	1	1	yes	characteristic
577	#419	C₂²×C₇	1	1	yes	characteristic
578	#418	C₂²×C₇	1	1	yes	characteristic
579	#418	C₂²×C₇	1	1	yes	characteristic
580	C₂×#103	C₂²×C₇	1	1	yes	characteristic
581	C₂×#102	C₂²×C₇	1	1	yes	characteristic
582	#408	C₂²×C₇	1	1	yes	characteristic
583	#407	C₂²×C₇	1	1	yes	characteristic
584	#405	C₂²×C₇	1	1	yes	characteristic
585	C₂³×C₇	—	2	2	no	—
586	C₂³×C₇	—	2	2	no	—
587	C₂³×C₇	—	4	1	no	—
588	C₂³×C₇	—	4	1	no	—
589	C₂³×C₇	—	4	2	no	—
590	C₂³×C₇	—	8	1	no	—
591	C₂³×C₇	—	8	1	no	—
592	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
593	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
594	C₂³×C₇	C₂²×D₄	1	2	yes	—
595	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
596	C₇×Q₈	—	2	2	no	—
597	C₇×Q₈	—	2	2	no	—
598	C₇×Q₈	—	2	2	no	—
599	C₇×Q₈	—	4	2	no	—
600	C₇×Q₈	—	8	2	no	—
601	C₇×Q₈	—	8	2	no	—
602	C₇×D₄	—	2	4	no	—
603	C₇×D₄	—	2	2	no	—
604	C₇×D₄	—	2	2	no	—
605	C₇×D₄	—	2	2	no	—
606	C₇×D₄	—	4	2	no	—
607	C₇×D₄	—	4	2	no	—
608	C₇×D₄	—	4	4	no	—
609	C₇×D₄	—	4	2	no	—
610	C₇×D₄	—	8	2	no	—
611	C₇×D₄	—	8	2	no	—
612	C₇×D₄	—	8	2	no	—
613	C₂×C₄×C₇	—	2	2	no	—
614	C₂×C₄×C₇	—	2	2	no	—
615	C₂×C₄×C₇	—	2	2	no	—
616	C₂×C₄×C₇	—	2	2	no	—
617	C₂×C₄×C₇	—	2	1	no	—
618	C₂×C₄×C₇	—	2	1	no	—
619	C₂×C₄×C₇	—	2	1	no	—
620	C₂×C₄×C₇	—	2	1	no	—
621	C₂×C₄×C₇	—	2	2	no	—
622	C₂×C₄×C₇	—	2	1	no	—
623	C₂×C₄×C₇	—	2	1	no	—
624	C₂×C₄×C₇	—	2	1	no	—
625	C₂×C₄×C₇	—	2	1	no	—
626	C₂×C₄×C₇	—	2	2	no	—
627	C₂×C₄×C₇	—	2	1	no	—
628	C₂×C₄×C₇	—	2	1	no	—
629	C₂×C₄×C₇	—	2	1	no	—
630	C₂×C₄×C₇	—	2	1	no	—
631	C₂×C₄×C₇	—	2	2	no	—
632	C₂×C₄×C₇	—	2	2	no	—
633	C₂×C₄×C₇	—	4	2	no	—
634	C₂×C₄×C₇	—	4	2	no	—
635	C₂×C₄×C₇	—	4	2	no	—
636	C₂×C₄×C₇	—	8	2	no	—
637	C₂×C₄×C₇	—	8	2	no	—
638	C₂×C₄×C₇	—	8	2	no	—
639	C₂×C₄×C₇	—	8	1	no	—
640	C₂×C₄×C₇	—	8	1	no	—
641	C₂×C₄×C₇	—	8	1	no	—
642	C₂×C₄×C₇	—	8	1	no	—
643	C₂×C₄×C₇	—	8	2	no	—
644	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
645	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
646	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
647	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
648	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
649	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
650	C₂×C₄×C₇	C₂×#41	1	2	yes	—
651	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
652	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
653	C₇×C₈	—	2	1	no	—
654	C₇×C₈	—	2	1	no	—
655	C₇×C₈	—	2	2	no	—
656	C₇×C₈	—	2	2	no	—
657	C₇×C₈	C₂×#41	1	2	yes	—
658	C₇×C₈	C₂×#41	1	2	yes	—
659	C₂×#41	—	2	2	no	—
660	C₂×#41	C₂³×C₇	1	1	yes	characteristic
661	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
662	C₂²×D₄	—	2	1	no	—
663	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
664	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
665	C₂×SD₁₆	—	2	4	no	—
666	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
667	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
668	#131	—	2	4	no	—
669	C₂×M₁₆	—	2	4	no	—
670	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
671	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
672	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
673	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
674	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
675	C₂×M₁₆	C₂³×C₇	1	2	yes	—
676	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
677	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
678	C₂²×C₈	C₂³×C₇	1	2	yes	—
679	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
680	C₄⋊Q₈	—	2	1	no	—
681	C₄⋊Q₈	—	2	1	no	—
682	C₄⋊Q₈	—	2	1	no	—
683	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
684	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
685	#127	—	2	1	no	—
686	#126	—	2	2	no	—
687	#126	—	2	2	no	—
688	#126	—	2	2	no	—
689	#126	—	2	2	no	—
690	#126	—	2	2	no	—
691	#126	—	2	2	no	—
692	#125	—	2	1	no	—
693	#125	—	2	1	no	—
694	#125	—	2	2	no	—
695	#125	—	2	2	no	—
696	#125	—	2	2	no	—
697	#125	C₂³×C₇	1	2	yes	—
698	#125	C₂³×C₇	1	2	yes	—
699	#124	—	2	1	no	—
700	#124	—	2	1	no	—
701	#124	—	2	2	no	—
702	#124	—	2	2	no	—
703	#124	—	2	2	no	—
704	#123	—	2	2	no	—
705	#123	—	2	2	no	—
706	#123	—	2	2	no	—
707	#123	—	2	2	no	—
708	#123	—	2	2	no	—
709	#123	—	2	2	no	—
710	#123	—	2	2	no	—
711	#123	C₇×D₄	1	2	yes	—
712	C₂²⋊Q₈	—	2	1	no	—
713	C₂²⋊Q₈	—	2	1	no	—
714	C₂²⋊Q₈	—	2	2	no	—
715	C₂²⋊Q₈	—	2	2	no	—
716	C₂²⋊Q₈	—	2	2	no	—
717	C₂²⋊Q₈	—	2	2	no	—
718	C₂²⋊Q₈	—	2	2	no	—
719	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
720	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
721	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
722	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
723	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
724	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
725	#121	—	2	2	no	—
726	#121	—	2	2	no	—
727	#121	—	2	2	no	—
728	#121	—	2	1	no	—
729	#121	—	2	1	no	—
730	#121	C₇×D₄	1	1	yes	characteristic
731	#121	C₇×D₄	1	1	yes	characteristic
732	#121	C₂³×C₇	1	2	yes	—
733	#121	C₂³×C₇	1	2	yes	—
734	#121	C₂³×C₇	1	2	yes	—
735	#121	C₂³×C₇	1	2	yes	—
736	#120	—	2	2	no	—
737	#120	C₇×D₄	1	2	yes	—
738	C₄×Q₈	—	2	1	no	—
739	C₄×Q₈	—	2	1	no	—
740	C₄×Q₈	—	2	1	no	—
741	C₄×Q₈	—	2	1	no	—
742	C₄×Q₈	—	2	2	no	—
743	C₄×Q₈	C₂³×C₇	1	2	yes	—
744	C₄×Q₈	C₂³×C₇	1	2	yes	—
745	C₄×D₄	—	2	1	no	—
746	C₄×D₄	—	2	1	no	—
747	C₄×D₄	—	2	2	no	—
748	C₄×D₄	—	2	2	no	—
749	C₄×D₄	—	2	2	no	—
750	C₄×D₄	—	2	1	no	—
751	C₄×D₄	—	2	1	no	—
752	C₄×D₄	—	2	2	no	—
753	C₄×D₄	—	2	2	no	—
754	C₄×D₄	C₂³×C₇	1	2	yes	—
755	C₄×D₄	C₂³×C₇	1	2	yes	—
756	C₄×D₄	C₂³×C₇	1	2	yes	—
757	C₄×D₄	C₂³×C₇	1	2	yes	—
758	#117	—	2	1	no	—
759	#117	—	2	1	no	—
760	#117	—	2	1	no	—
761	#117	—	2	1	no	—
762	#117	—	2	2	no	—
763	#117	—	2	2	no	—
764	#117	—	2	2	no	—
765	#117	—	2	2	no	—
766	#117	C₂³×C₇	1	1	yes	characteristic
767	#117	C₂³×C₇	1	1	yes	characteristic
768	#117	C₂³×C₇	1	1	yes	characteristic
769	#117	C₂³×C₇	1	1	yes	characteristic
770	#117	C₂³×C₇	1	1	yes	characteristic
771	#117	C₂³×C₇	1	1	yes	characteristic
772	#117	C₂³×C₇	1	1	yes	characteristic
773	#117	C₂³×C₇	1	1	yes	characteristic
774	#117	C₂³×C₇	1	2	yes	—
775	#117	C₂³×C₇	1	2	yes	—
776	#117	C₂³×C₇	1	1	yes	characteristic
777	C₂×C₄⋊C₄	—	2	1	no	—
778	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
779	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
780	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
781	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
782	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
783	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
784	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
785	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
786	C₂×C₂²⋊C₄	—	2	1	no	—
787	C₂×C₂²⋊C₄	—	2	1	no	—
788	C₂×C₂²⋊C₄	—	2	1	no	—
789	C₂×C₂²⋊C₄	—	2	1	no	—
790	C₂×C₂²⋊C₄	—	2	2	no	—
791	C₂×C₄²	—	2	1	no	—
792	C₂×C₄²	—	2	1	no	—
793	#107	C₂³×C₇	1	2	yes	—
794	#107	C₂³×C₇	1	2	yes	—
795	#107	C₂³×C₇	1	1	yes	characteristic
796	#107	C₂³×C₇	1	2	yes	—
797	#107	C₂³×C₇	1	2	yes	—
798	#107	C₂³×C₇	1	1	yes	characteristic
799	#107	C₂³×C₇	1	1	yes	characteristic
800	#107	C₂³×C₇	1	1	yes	characteristic
801	#107	C₂³×C₇	1	1	yes	characteristic
802	#107	C₂³×C₇	1	1	yes	characteristic
803	#107	C₂³×C₇	1	1	yes	characteristic
804	#107	C₂³×C₇	1	1	yes	characteristic
805	#107	C₂³×C₇	1	2	yes	—
806	#107	C₂³×C₇	1	2	yes	—
807	#106	C₂³×C₇	1	1	yes	characteristic
808	#106	C₂³×C₇	1	1	yes	characteristic
809	#106	C₂³×C₇	1	1	yes	characteristic
810	#106	C₂³×C₇	1	1	yes	characteristic
811	#106	C₂³×C₇	1	1	yes	characteristic
812	#106	C₂³×C₇	1	1	yes	characteristic
813	#106	C₂³×C₇	1	1	yes	characteristic
814	#106	C₂³×C₇	1	1	yes	characteristic
815	#106	C₂³×C₇	1	2	yes	—
816	#106	C₂³×C₇	1	2	yes	—
817	#106	C₂³×C₇	1	2	yes	—
818	#106	C₂³×C₇	1	2	yes	—
819	C₄⋊C₈	C₂³×C₇	1	2	yes	—
820	C₄⋊C₈	C₂³×C₇	1	2	yes	—
821	#103	C₂³×C₇	1	2	yes	—
822	#103	C₂³×C₇	1	2	yes	—
823	#103	C₂³×C₇	1	2	yes	—
824	#103	C₂³×C₇	1	2	yes	—
825	#103	C₂³×C₇	1	2	yes	—
826	#103	C₂³×C₇	1	2	yes	—
827	#102	C₂³×C₇	1	2	yes	—
828	#102	C₂³×C₇	1	2	yes	—
829	#102	C₂³×C₇	1	2	yes	—
830	#102	C₂³×C₇	1	2	yes	—
831	#102	C₂³×C₇	1	2	yes	—
832	#102	C₂³×C₇	1	2	yes	—
833	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
834	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
835	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
836	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
837	#97	C₂³×C₇	1	2	yes	—
838	C₄×C₈	C₂³×C₇	1	2	yes	—
839	C₂²×C₇	—	2	1	no	—
840	C₂²×C₇	—	2	1	no	—
841	C₂²×C₇	—	2	1	no	—
842	C₂²×C₇	—	2	2	no	—
843	C₂²×C₇	—	2	1	no	—
844	C₂²×C₇	—	2	1	no	—
845	C₂²×C₇	—	2	1	no	—
846	C₂²×C₇	—	2	2	no	—
847	C₂²×C₇	—	2	1	no	—
848	C₂²×C₇	—	2	1	no	—
849	C₂²×C₇	—	2	2	no	—
850	C₂²×C₇	—	4	2	no	—
851	C₂²×C₇	—	4	2	no	—
852	C₂²×C₇	—	4	2	no	—
853	C₂²×C₇	—	8	2	no	—
854	C₂²×C₇	—	16	2	no	—
855	C₂²×C₇	#547	1	2	yes	—
856	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
857	C₄×C₇	—	2	2	no	—
858	C₄×C₇	—	2	2	no	—
859	C₄×C₇	—	2	1	no	—
860	C₄×C₇	—	2	1	no	—
861	C₄×C₇	—	2	2	no	—
862	C₄×C₇	—	4	1	no	—
863	C₄×C₇	—	4	1	no	—
864	C₄×C₇	—	4	1	no	—
865	C₄×C₇	—	4	2	no	—
866	C₄×C₇	—	4	2	no	—
867	C₄×C₇	—	4	1	no	—
868	C₄×C₇	—	4	1	no	—
869	C₄×C₇	—	4	1	no	—
870	C₄×C₇	—	4	1	no	—
871	C₄×C₇	—	4	1	no	—
872	C₄×C₇	—	4	2	no	—
873	C₄×C₇	#547	1	2	yes	—
874	C₄×C₇	C₂²×#41	1	1	yes	characteristic
875	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
876	C₂⁴	—	2	1	no	—
877	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
878	#41	—	2	2	no	—
879	#41	—	2	2	no	—
880	#41	—	8	4	no	—
881	C₂×Q₈	—	2	1	no	—
882	C₂×Q₈	—	2	2	no	—
883	C₂×Q₈	—	2	2	no	—
884	C₂×Q₈	—	2	2	no	—
885	C₂×Q₈	—	2	2	no	—
886	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
887	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	2	no	—
892	C₂×D₄	—	2	1	no	—
893	C₂×D₄	—	2	2	no	—
894	C₂×D₄	—	2	2	no	—
895	C₂×D₄	—	8	2	no	—
896	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
897	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
898	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
899	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
900	C₂×D₄	C₂⁴×C₇	1	2	yes	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	2	1	no	—
908	C₂²×C₄	—	2	1	no	—
909	C₂²×C₄	—	2	1	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
915	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
916	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
917	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
918	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
919	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
920	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
921	SD₁₆	—	2	4	no	—
922	SD₁₆	—	2	4	no	—
923	M₁₆	—	2	2	no	—
924	M₁₆	—	2	2	no	—
925	M₁₆	—	2	2	no	—
926	M₁₆	—	2	2	no	—
927	M₁₆	—	2	2	no	—
928	M₁₆	—	2	2	no	—
929	M₁₆	—	2	4	no	—
930	C₂×C₈	—	2	2	no	—
931	C₂×C₈	—	2	4	no	—
932	C₂×C₈	C₇×#41	1	4	yes	complemented
933	C₂×C₈	C₂⁴×C₇	1	2	yes	—
934	C₂×C₈	C₂⁴×C₇	1	2	yes	—
935	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
936	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
937	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
938	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
960	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
961	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
962	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
963	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
964	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
965	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
966	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
967	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
968	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
969	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
970	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
971	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
972	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
973	C₂²⋊C₄	—	2	1	no	—
974	C₂²⋊C₄	—	2	1	no	—
975	C₂²⋊C₄	—	2	1	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	1	no	—
978	C₂²⋊C₄	—	2	1	no	—
979	C₂²⋊C₄	—	2	1	no	—
980	C₂²⋊C₄	—	2	1	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
994	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
995	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
996	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
997	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	1	no	—
1000	C₄²	—	2	1	no	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	2	1	no	—
1003	C₄²	—	2	1	no	—
1004	C₄²	—	2	1	no	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	2	no	—
1007	C₄²	—	2	2	no	—
1008	C₄²	—	2	2	no	—
1009	C₄²	—	2	2	no	—
1010	C₄²	C₂⁴×C₇	1	2	yes	—
1011	C₂×C₇	—	2	2	no	—
1012	C₂×C₇	—	4	2	no	—
1013	C₂×C₇	—	4	1	no	—
1014	C₂×C₇	—	4	1	no	—
1015	C₂×C₇	—	8	2	no	—
1016	C₂×C₇	C₂×#547	1	1	yes	characteristic
1017	C₂×C₇	#3585	1	1	yes	characteristic
1018	C₂×C₇	#3586	1	1	yes	characteristic
1019	C₂³	—	2	2	no	—
1020	C₂³	—	2	2	no	—
1021	C₂³	—	4	1	no	—
1022	C₂³	—	4	1	no	—
1023	C₂³	—	4	2	no	—
1024	C₂³	—	8	1	no	—
1025	C₂³	—	8	1	no	—
1026	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1027	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1028	C₂³	C₂²×C₇×D₄	1	2	yes	—
1029	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1030	Q₈	—	2	2	no	—
1031	Q₈	—	2	2	no	—
1032	Q₈	—	2	2	no	—
1033	Q₈	—	4	2	no	—
1034	Q₈	—	8	2	no	—
1035	Q₈	—	8	2	no	—
1036	D₄	—	2	4	no	—
1037	D₄	—	2	2	no	—
1038	D₄	—	2	2	no	—
1039	D₄	—	2	2	no	—
1040	D₄	—	4	2	no	—
1041	D₄	—	4	2	no	—
1042	D₄	—	4	4	no	—
1043	D₄	—	4	2	no	—
1044	D₄	—	8	2	no	—
1045	D₄	—	8	2	no	—
1046	D₄	—	8	2	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	4	2	no	—
1068	C₂×C₄	—	4	2	no	—
1069	C₂×C₄	—	4	2	no	—
1070	C₂×C₄	—	8	2	no	—
1071	C₂×C₄	—	8	2	no	—
1072	C₂×C₄	—	8	2	no	—
1073	C₂×C₄	—	8	1	no	—
1074	C₂×C₄	—	8	1	no	—
1075	C₂×C₄	—	8	1	no	—
1076	C₂×C₄	—	8	1	no	—
1077	C₂×C₄	—	8	2	no	—
1078	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1079	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1080	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1081	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1082	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1083	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1084	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1085	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
1086	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1087	C₈	—	2	1	no	—
1088	C₈	—	2	1	no	—
1089	C₈	—	2	2	no	—
1090	C₈	—	2	2	no	—
1091	C₈	C₂×C₇×#41	1	2	yes	—
1092	C₈	C₂×C₇×#41	1	2	yes	—
1093	C₇	#61268	1	1	yes	characteristic, direct product factor, Sylow
1094	C₂²	—	2	1	no	—
1095	C₂²	—	2	1	no	—
1096	C₂²	—	2	1	no	—
1097	C₂²	—	2	2	no	—
1098	C₂²	—	2	1	no	—
1099	C₂²	—	2	1	no	—
1100	C₂²	—	2	1	no	—
1101	C₂²	—	2	2	no	—
1102	C₂²	—	2	1	no	—
1103	C₂²	—	2	1	no	—
1104	C₂²	—	2	2	no	—
1105	C₂²	—	4	2	no	—
1106	C₂²	—	4	2	no	—
1107	C₂²	—	4	2	no	—
1108	C₂²	—	8	2	no	—
1109	C₂²	—	16	2	no	—
1110	C₂²	C₇×#547	1	2	yes	—
1111	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1112	C₄	—	2	2	no	—
1113	C₄	—	2	2	no	—
1114	C₄	—	2	1	no	—
1115	C₄	—	2	1	no	—
1116	C₄	—	2	2	no	—
1117	C₄	—	4	1	no	—
1118	C₄	—	4	1	no	—
1119	C₄	—	4	1	no	—
1120	C₄	—	4	2	no	—
1121	C₄	—	4	2	no	—
1122	C₄	—	4	1	no	—
1123	C₄	—	4	1	no	—
1124	C₄	—	4	1	no	—
1125	C₄	—	4	1	no	—
1126	C₄	—	4	1	no	—
1127	C₄	—	4	2	no	—
1128	C₄	C₇×#547	1	2	yes	—
1129	C₄	C₂²×C₇×#41	1	1	yes	characteristic
1130	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1131	C₂	—	2	2	no	—
1132	C₂	—	4	1	no	—
1133	C₂	—	4	1	no	—
1134	C₂	—	4	2	no	—
1135	C₂	—	8	2	no	—
1136	C₂	C₂×C₇×#547	1	1	yes	characteristic
1137	C₂	C₇×#3585	1	1	yes	characteristic
1138	C₂	C₇×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
prime radical	C₇×#3494	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₇×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3495	C₂	semidirect
3. C₇×#3357	C₂	semidirect
4. C₇×#3353	C₂	semidirect
5. C₇×#3351	C₂	semidirect
6. C₇×#3351	C₂	semidirect
7. C₇×#3350	C₂	semidirect
8. C₇×#3348	C₂	semidirect
9. C₇×#3346	C₂	semidirect
10. C₇×#3343	C₂	semidirect
11. C₇×#3164	C₂	semidirect
12. C₇×#3097	C₂	semidirect
13. C₇×#3096	C₂	semidirect
14. C₇×#3095	C₂	semidirect
15. C₇×#3094	C₂	semidirect
16. C₇×#3082	C₂	semidirect
17. C₇×#3081	C₂	semidirect
18. C₇×#3057	C₂	semidirect
19. C₂×C₇×#468	C₂	semidirect
20. C₇×#2949	C₂	semidirect
21. C₇×#2930	C₂	semidirect
22. C₇×#2913	C₂	semidirect
23. C₇×#2911	C₂	semidirect
27. C₇×#556	C₂²	semidirect
29. C₇×#554	C₂²	semidirect
33. C₇×#552	C₂²	semidirect
34. C₇×#552	C₂²	semidirect
60. C₇×#501	C₂²	semidirect
61. C₇×#501	C₂²	semidirect
62. C₇×#500	C₂²	semidirect
63. C₇×#499	C₂²	semidirect
64. C₇×#485	C₂²	semidirect
65. C₇×#485	C₂²	semidirect
66. C₇×#485	C₂²	semidirect
67. C₇×#485	C₂²	semidirect
68. C₇×#484	C₂²	semidirect
69. C₇×#484	C₂²	semidirect
70. C₇×#483	C₂²	semidirect
71. C₇×#483	C₂²	semidirect
74. C₇×#482	C₂²	semidirect
75. C₇×#482	C₂²	semidirect
77. C₇×#481	C₂²	semidirect
79. C₇×#480	C₂²	semidirect
80. C₇×#479	C₂²	semidirect
81. C₇×#479	C₂²	semidirect
82. C₇×#478	C₂²	semidirect
83. C₇×#478	C₂²	semidirect
84. C₇×#477	C₂²	semidirect
85. C₇×#476	C₂²	semidirect
86. C₇×#475	C₂²	semidirect
87. C₇×#474	C₂²	semidirect
92. C₇×#468	C₂²	semidirect
93. C₇×#468	C₂²	semidirect
94. C₇×#465	C₂²	semidirect
95. C₇×#465	C₂²	semidirect
96. C₇×#440	C₂²	semidirect
97. C₇×#440	C₂²	semidirect
98. C₄×C₇×SD₁₆	C₂²	semidirect
99. C₄×C₇×SD₁₆	C₂²	semidirect
100. C₇×#436	C₂²	semidirect
101. C₇×#436	C₂²	semidirect
102. C₇×#435	C₂²	semidirect
103. C₇×#435	C₂²	semidirect
108. C₇×#428	C₂²	semidirect
109. C₇×#428	C₂²	semidirect
110. C₇×#428	C₂²	semidirect
111. C₇×#428	C₂²	semidirect
112. C₇×#428	C₂²	semidirect
113. C₇×#428	C₂²	semidirect
114. C₇×#428	C₂²	semidirect
115. C₇×#428	C₂²	semidirect
116. C₇×#428	C₂²	semidirect
117. C₇×#428	C₂²	semidirect
122. C₇×#427	C₂²	semidirect
124. C₂×C₇×#107	C₂²	semidirect
135. #61268	C₇	direct (N × H)
316. #3495	C₂×C₇	semidirect
318. #3357	C₂×C₇	semidirect
319. #3353	C₂×C₇	semidirect
320. #3351	C₂×C₇	semidirect
321. #3351	C₂×C₇	semidirect
322. #3350	C₂×C₇	semidirect
323. #3348	C₂×C₇	semidirect
324. #3346	C₂×C₇	semidirect
325. #3343	C₂×C₇	semidirect
326. #3164	C₂×C₇	semidirect
327. #3097	C₂×C₇	semidirect
328. #3096	C₂×C₇	semidirect
329. #3095	C₂×C₇	semidirect
330. #3094	C₂×C₇	semidirect
331. #3082	C₂×C₇	semidirect
332. #3081	C₂×C₇	semidirect
333. #3057	C₂×C₇	semidirect
334. C₂×#468	C₂×C₇	semidirect
335. #2949	C₂×C₇	semidirect
336. #2930	C₂×C₇	semidirect
337. #2913	C₂×C₇	semidirect
338. #2911	C₂×C₇	semidirect
395. C₂×C₇×C₈	#41	semidirect
477. #556	C₂²×C₇	semidirect
479. #554	C₂²×C₇	semidirect
483. #552	C₂²×C₇	semidirect
484. #552	C₂²×C₇	semidirect
510. #501	C₂²×C₇	semidirect
511. #501	C₂²×C₇	semidirect
512. #500	C₂²×C₇	semidirect
513. #499	C₂²×C₇	semidirect
514. #485	C₂²×C₇	semidirect
515. #485	C₂²×C₇	semidirect
516. #485	C₂²×C₇	semidirect
517. #485	C₂²×C₇	semidirect
518. #484	C₂²×C₇	semidirect
519. #484	C₂²×C₇	semidirect
520. #483	C₂²×C₇	semidirect
521. #483	C₂²×C₇	semidirect
524. #482	C₂²×C₇	semidirect
525. #482	C₂²×C₇	semidirect
527. #481	C₂²×C₇	semidirect
529. #480	C₂²×C₇	semidirect
530. #479	C₂²×C₇	semidirect
531. #479	C₂²×C₇	semidirect
532. #478	C₂²×C₇	semidirect
533. #478	C₂²×C₇	semidirect
534. #477	C₂²×C₇	semidirect
535. #476	C₂²×C₇	semidirect
536. #475	C₂²×C₇	semidirect
537. #474	C₂²×C₇	semidirect
542. #468	C₂²×C₇	semidirect
543. #468	C₂²×C₇	semidirect
544. #465	C₂²×C₇	semidirect
545. #465	C₂²×C₇	semidirect
546. #440	C₂²×C₇	semidirect
547. #440	C₂²×C₇	semidirect
548. C₄×SD₁₆	C₂²×C₇	semidirect
549. C₄×SD₁₆	C₂²×C₇	semidirect
550. #436	C₂²×C₇	semidirect
551. #436	C₂²×C₇	semidirect
552. #435	C₂²×C₇	semidirect
553. #435	C₂²×C₇	semidirect
558. #428	C₂²×C₇	semidirect
559. #428	C₂²×C₇	semidirect
560. #428	C₂²×C₇	semidirect
561. #428	C₂²×C₇	semidirect
562. #428	C₂²×C₇	semidirect
563. #428	C₂²×C₇	semidirect
564. #428	C₂²×C₇	semidirect
565. #428	C₂²×C₇	semidirect
566. #428	C₂²×C₇	semidirect
567. #428	C₂²×C₇	semidirect
572. #427	C₂²×C₇	semidirect
574. C₂×#107	C₂²×C₇	semidirect
932. C₂×C₈	C₇×#41	semidirect
1093. C₇	#61268	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×#3495	2
C₇×#3494	2
C₇×#3357	2
C₇×#3353	2
C₇×#3351	2
C₇×#3350	2
C₇×#3348	2
C₇×#3346	2
C₇×#3343	2
C₇×#3164	2
C₇×#3097	2
C₇×#3096	2
C₇×#3095	2
C₇×#3094	2
C₇×#3082	2
C₇×#3081	2
C₇×#3057	2
C₂×C₇×#468	2
C₇×#2949	2
C₇×#2930	2
C₇×#2913	2
C₇×#2911	2
#61268	7

Subgroups — C7×#61268 #13238484

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61268 #13238484