Subgroups — C₇×#60933 #13238149

Order 1792.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1188 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3512	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3460	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3260	C₂	1	2	yes	maximal, complemented
4	C₇×#3259	C₂	1	2	yes	maximal, complemented
5	C₇×#3258	C₂	1	2	yes	maximal, complemented
6	C₇×#3257	C₂	1	2	yes	maximal, complemented
7	C₇×#3256	C₂	1	2	yes	maximal, complemented
8	C₇×#3251	C₂	1	2	yes	maximal, complemented
9	C₇×#3250	C₂	1	2	yes	maximal, complemented
10	C₇×#3247	C₂	1	2	yes	maximal, complemented
11	C₇×#3084	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3083	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3080	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₇×#478	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3062	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3062	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3061	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3060	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3045	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3045	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3036	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3035	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2906	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
25	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₂×C₇×#135	C₂²	1	1	yes	characteristic
27	C₂×C₇×#135	C₂²	1	1	yes	characteristic
28	C₂×C₇×#131	C₂²	1	1	yes	characteristic
29	C₂×C₇×#131	C₂²	1	1	yes	characteristic
30	C₇×#553	—	2	2	no	—
31	C₇×#553	—	2	2	no	—
32	C₇×#553	—	2	1	no	—
33	C₇×#553	—	2	1	no	—
34	C₇×#552	—	2	1	no	—
35	C₇×#552	—	2	1	no	—
36	C₇×#544	C₂²	1	1	yes	characteristic
37	C₇×#542	—	2	1	no	—
38	C₇×#542	C₂²	1	2	yes	—
39	C₇×#541	C₂²	1	2	yes	complemented
40	C₇×#540	—	2	1	no	—
41	C₇×#540	C₂²	1	2	yes	—
42	C₇×#540	C₂²	1	2	yes	complemented
43	C₇×#538	—	2	2	no	—
44	C₇×#537	C₂²	1	1	yes	characteristic
45	C₇×#537	C₂²	1	1	yes	characteristic
46	C₇×#537	C₂²	1	1	yes	characteristic
47	C₇×#535	C₂²	1	1	yes	characteristic
48	C₇×#535	C₂²	1	1	yes	characteristic
49	C₇×#532	—	2	1	no	—
50	C₇×#532	C₂²	1	1	yes	characteristic
51	C₇×#532	C₂²	1	2	yes	—
52	C₇×#529	—	2	1	no	—
53	C₇×#529	C₂²	1	2	yes	—
54	C₇×#529	C₂²	1	2	yes	complemented
55	C₇×#529	C₂²	1	2	yes	complemented
56	C₂×C₇×#125	C₂²	1	1	yes	characteristic
57	C₇×#525	—	2	2	no	—
58	C₇×#520	C₂²	1	1	yes	characteristic
59	C₇×#520	C₂²	1	1	yes	characteristic
60	C₄×C₇×#41	C₂²	1	1	yes	characteristic
61	C₄×C₇×#41	C₂²	1	1	yes	characteristic
62	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
63	C₇×#479	C₂²	1	2	yes	complemented
64	C₇×#479	C₂²	1	2	yes	complemented
65	C₇×#479	C₂²	1	2	yes	complemented
66	C₇×#479	C₂²	1	2	yes	complemented
67	C₇×#478	C₂²	1	2	yes	—
68	C₇×#478	C₂²	1	2	yes	—
69	C₇×#478	C₂²	1	2	yes	—
70	C₇×#478	C₂²	1	2	yes	—
71	C₇×#478	C₂²	1	2	yes	complemented
72	C₇×#478	C₂²	1	2	yes	complemented
73	C₇×#478	C₂²	1	2	yes	complemented
74	C₇×#478	C₂²	1	2	yes	complemented
75	C₇×#477	C₂²	1	2	yes	complemented
76	C₇×#476	C₂²	1	2	yes	complemented
77	C₇×#475	C₂²	1	2	yes	complemented
78	C₇×#474	C₂²	1	2	yes	complemented
79	C₇×#470	C₂²	1	2	yes	complemented
80	C₇×#469	C₂²	1	2	yes	—
81	C₇×#469	C₂²	1	2	yes	—
82	C₇×#469	C₂²	1	2	yes	complemented
83	C₇×#468	C₂²	1	2	yes	—
84	C₇×#468	C₂²	1	2	yes	—
85	C₇×#468	C₂²	1	2	yes	complemented
86	C₇×#468	C₂²	1	2	yes	complemented
87	C₇×#467	C₂²	1	2	yes	complemented
88	C₇×#466	C₂²	1	2	yes	—
89	C₇×#466	C₂²	1	2	yes	—
90	C₇×#466	C₂²	1	2	yes	complemented
91	C₇×#465	C₂²	1	2	yes	—
92	C₇×#465	C₂²	1	2	yes	—
93	C₇×#465	C₂²	1	2	yes	complemented
94	C₇×#465	C₂²	1	2	yes	complemented
95	C₇×#464	C₂²	1	2	yes	—
96	C₇×#464	C₂²	1	2	yes	—
97	C₇×#464	C₂²	1	1	yes	characteristic, complemented
98	C₇×#464	C₂²	1	1	yes	characteristic, complemented
99	C₇×#463	C₂²	1	2	yes	—
100	C₇×#463	C₂²	1	2	yes	—
101	C₇×#463	C₂²	1	2	yes	—
102	C₇×#463	C₂²	1	2	yes	—
103	C₇×#463	C₂²	1	1	yes	characteristic, complemented
104	C₇×#463	C₂²	1	1	yes	characteristic, complemented
105	C₇×#462	C₂²	1	1	yes	characteristic, complemented
106	C₇×#461	C₂²	1	2	yes	—
107	C₇×#461	C₂²	1	1	yes	characteristic, complemented
108	C₇×#460	C₂²	1	2	yes	—
109	C₇×#460	C₂²	1	2	yes	—
110	C₇×#460	C₂²	1	1	yes	characteristic, complemented
111	C₇×#459	C₂²	1	2	yes	—
112	C₇×#459	C₂²	1	2	yes	—
113	C₇×#459	C₂²	1	2	yes	—
114	C₇×#459	C₂²	1	1	yes	characteristic, complemented
115	C₇×#428	C₂²	1	1	yes	characteristic
116	C₇×#428	C₂²	1	1	yes	characteristic
117	C₂×C₇×#107	C₂²	1	1	yes	characteristic
118	C₂×C₇×#106	C₂²	1	1	yes	characteristic
119	C₇×#424	C₂²	1	1	yes	characteristic
120	C₇×#424	C₂²	1	1	yes	characteristic
121	C₇×#424	C₂²	1	2	yes	complemented
122	C₇×#424	C₂²	1	2	yes	complemented
123	C₇×#423	C₂²	1	1	yes	characteristic
124	C₇×#423	C₂²	1	2	yes	complemented
125	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
126	C₂×C₇×C₄⋊C₈	C₂²	1	2	yes	complemented
127	C₇×#417	C₂²	1	1	yes	characteristic
128	C₇×#417	C₂²	1	1	yes	characteristic
129	C₇×#417	C₂²	1	1	yes	characteristic
130	C₇×#417	C₂²	1	1	yes	characteristic
131	C₇×#416	C₂²	1	1	yes	characteristic
132	C₇×#416	C₂²	1	1	yes	characteristic
133	C₂×C₇×#102	C₂²	1	1	yes	characteristic
134	C₂×C₇×#102	C₂²	1	1	yes	characteristic
135	#60933	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	C₂×C₇×#41	C₂³	1	1	yes	characteristic
139	C₂×C₇×#41	C₂³	1	1	yes	characteristic
140	C₂×C₇×#41	C₂³	1	1	yes	characteristic
141	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₇	—	2	1	no	—
143	C₇×AGL(1,ℤ/8)	—	4	2	no	—
144	C₇×AGL(1,ℤ/8)	—	4	2	no	—
145	C₇×#135	—	4	2	no	—
146	C₇×#135	—	4	2	no	—
147	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
148	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
153	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
155	C₂×C₇×D₈	C₂³	1	2	yes	—
156	C₂×C₇×D₈	C₂³	1	2	yes	—
157	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
158	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
159	C₇×#131	—	4	2	no	—
160	C₇×#131	—	4	2	no	—
161	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
162	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
163	C₂×C₇×M₁₆	C₂³	1	2	yes	—
164	C₂×C₇×M₁₆	C₂³	1	2	yes	—
165	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
166	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
167	C₂²×C₇×C₈	C₂³	1	2	yes	—
168	C₂²×C₇×C₈	C₂³	1	2	yes	—
169	C₇×C₄⋊Q₈	—	2	1	no	—
170	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
172	C₇×#127	—	2	1	no	—
173	C₇×#127	C₂³	1	2	yes	—
174	C₇×#127	C₂³	1	1	yes	characteristic
175	C₇×#126	—	2	2	no	—
176	C₇×#126	—	2	2	no	—
177	C₇×#126	—	2	2	no	—
178	C₇×#126	—	2	2	no	—
179	C₇×#126	—	2	2	no	—
180	C₇×#126	—	2	2	no	—
181	C₇×#125	—	2	1	no	—
182	C₇×#125	—	2	2	no	—
183	C₇×#125	—	2	2	no	—
184	C₇×#125	—	2	1	no	—
185	C₇×#125	—	2	1	no	—
186	C₇×#125	C₂³	1	2	yes	—
187	C₇×#125	C₂³	1	2	yes	—
188	C₇×#125	C₂³	1	2	yes	—
189	C₇×#124	—	2	1	no	—
190	C₇×#124	—	2	2	no	—
191	C₇×#124	—	2	2	no	—
192	C₇×#124	C₂³	1	2	yes	—
193	C₇×#124	C₂³	1	1	yes	characteristic
194	C₇×#124	C₂³	1	1	yes	characteristic
195	C₇×#123	—	2	2	no	—
196	C₇×#123	—	2	2	no	—
197	C₇×#123	—	2	2	no	—
198	C₇×#123	—	2	2	no	—
199	C₇×#123	—	2	2	no	—
200	C₇×#123	—	2	2	no	—
201	C₇×#123	—	2	2	no	—
202	C₇×#123	—	2	2	no	—
203	C₇×C₂²⋊Q₈	—	2	1	no	—
204	C₇×C₂²⋊Q₈	—	2	1	no	—
205	C₇×C₂²⋊Q₈	—	2	1	no	—
206	C₇×C₂²⋊Q₈	—	2	2	no	—
207	C₇×C₂²⋊Q₈	—	2	2	no	—
208	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
209	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
210	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
211	C₇×#121	—	2	2	no	—
212	C₇×#121	—	2	1	no	—
213	C₇×#121	—	2	1	no	—
214	C₇×#121	—	2	1	no	—
215	C₇×#121	—	2	2	no	—
216	C₇×#121	—	2	2	no	—
217	C₇×#121	—	2	2	no	—
218	C₇×#121	—	2	1	no	—
219	C₇×#121	—	2	1	no	—
220	C₇×#121	—	2	1	no	—
221	C₇×#121	—	2	1	no	—
222	C₇×#121	—	2	2	no	—
223	C₇×#121	—	2	2	no	—
224	C₇×#121	—	2	2	no	—
225	C₇×#121	—	2	2	no	—
226	C₇×#121	C₂³	1	2	yes	—
227	C₇×#121	C₂³	1	2	yes	—
228	C₇×#121	C₂³	1	2	yes	—
229	C₇×#121	C₂³	1	2	yes	—
230	C₇×#121	C₂³	1	2	yes	—
231	C₇×#120	—	2	2	no	—
232	C₇×#120	—	2	2	no	—
233	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
234	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
235	C₄×C₇×Q₈	C₂³	1	2	yes	—
236	C₄×C₇×Q₈	C₂³	1	2	yes	—
237	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
238	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
239	C₄×C₇×D₄	—	2	1	no	—
240	C₄×C₇×D₄	—	2	1	no	—
241	C₄×C₇×D₄	—	2	2	no	—
242	C₄×C₇×D₄	—	2	2	no	—
243	C₄×C₇×D₄	—	2	2	no	—
244	C₄×C₇×D₄	—	2	2	no	—
245	C₄×C₇×D₄	—	2	2	no	—
246	C₄×C₇×D₄	—	2	1	no	—
247	C₄×C₇×D₄	—	2	1	no	—
248	C₄×C₇×D₄	—	2	2	no	—
249	C₄×C₇×D₄	—	2	1	no	—
250	C₄×C₇×D₄	—	2	1	no	—
251	C₄×C₇×D₄	D₄	1	2	yes	—
252	C₄×C₇×D₄	D₄	1	1	yes	characteristic
253	C₄×C₇×D₄	D₄	1	2	yes	—
254	C₄×C₇×D₄	D₄	1	1	yes	characteristic
255	C₄×C₇×D₄	C₂³	1	2	yes	—
256	C₄×C₇×D₄	C₂³	1	2	yes	—
257	C₄×C₇×D₄	C₂³	1	2	yes	—
258	C₄×C₇×D₄	C₂³	1	2	yes	—
259	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
260	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
261	C₇×#117	—	2	1	no	—
262	C₇×#117	—	2	1	no	—
263	C₇×#117	—	2	1	no	—
264	C₇×#117	—	2	2	no	—
265	C₇×#117	—	2	2	no	—
266	C₇×#117	—	2	2	no	—
267	C₇×#117	C₂³	1	1	yes	characteristic
268	C₇×#117	C₂³	1	1	yes	characteristic
269	C₇×#117	C₂³	1	2	yes	—
270	C₂×C₇×C₄⋊C₄	—	2	1	no	—
271	C₂×C₇×C₄⋊C₄	—	2	1	no	—
272	C₂×C₇×C₄⋊C₄	—	2	1	no	—
273	C₂×C₇×C₄⋊C₄	—	2	1	no	—
274	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
278	C₂×C₄²×C₇	—	2	1	no	—
279	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
280	C₂×C₄²×C₇	C₂³	1	2	yes	—
281	C₇×#107	C₂³	1	2	yes	—
282	C₇×#107	C₂³	1	2	yes	—
283	C₇×#107	C₂³	1	2	yes	—
284	C₇×#107	C₂³	1	2	yes	—
285	C₇×#106	C₂³	1	2	yes	—
286	C₇×#106	C₂³	1	2	yes	—
287	C₇×#106	C₂³	1	2	yes	—
288	C₇×#106	C₂³	1	2	yes	—
289	C₇×C₄⋊C₈	C₂³	1	2	yes	—
290	C₇×C₄⋊C₈	C₂³	1	2	yes	—
291	C₇×C₄⋊C₈	C₂³	1	2	yes	—
292	C₇×C₄⋊C₈	C₂³	1	2	yes	—
293	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
294	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
295	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
296	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
297	C₇×C₄⋊C₈	C₂³	1	2	yes	—
298	C₇×C₄⋊C₈	C₂³	1	2	yes	—
299	C₇×#103	C₂³	1	2	yes	—
300	C₇×#103	C₂³	1	2	yes	—
301	C₇×#103	C₂³	1	1	yes	characteristic
302	C₇×#103	C₂³	1	1	yes	characteristic
303	C₇×#103	C₂³	1	2	yes	—
304	C₇×#103	C₂³	1	2	yes	—
305	C₇×#103	C₂³	1	1	yes	characteristic
306	C₇×#103	C₂³	1	1	yes	characteristic
307	C₇×#102	C₂³	1	1	yes	characteristic
308	C₇×#102	C₂³	1	1	yes	characteristic
309	C₇×#102	C₂³	1	2	yes	—
310	C₇×#102	C₂³	1	2	yes	—
311	C₇×#102	C₂³	1	2	yes	—
312	C₇×#102	C₂³	1	2	yes	—
313	C₇×#102	C₂³	1	2	yes	—
314	C₇×#102	C₂³	1	2	yes	—
315	C₇×#102	C₂³	1	1	yes	characteristic
316	C₇×#102	C₂³	1	1	yes	characteristic
317	C₇×#102	C₂³	1	2	yes	—
318	C₇×#102	C₂³	1	2	yes	—
319	#3512	C₂×C₇	1	1	yes	characteristic, complemented
320	#3460	C₂×C₇	1	1	yes	characteristic, complemented
321	#3260	C₂×C₇	1	2	yes	complemented
322	#3259	C₂×C₇	1	2	yes	complemented
323	#3258	C₂×C₇	1	2	yes	complemented
324	#3257	C₂×C₇	1	2	yes	complemented
325	#3256	C₂×C₇	1	2	yes	complemented
326	#3251	C₂×C₇	1	2	yes	complemented
327	#3250	C₂×C₇	1	2	yes	complemented
328	#3247	C₂×C₇	1	2	yes	complemented
329	#3084	C₂×C₇	1	1	yes	characteristic, complemented
330	#3083	C₂×C₇	1	1	yes	characteristic, complemented
331	#3080	C₂×C₇	1	1	yes	characteristic, complemented
332	C₂×#478	C₂×C₇	1	1	yes	characteristic, complemented
333	#3062	C₂×C₇	1	1	yes	characteristic, complemented
334	#3062	C₂×C₇	1	1	yes	characteristic, complemented
335	#3061	C₂×C₇	1	1	yes	characteristic, complemented
336	#3060	C₂×C₇	1	1	yes	characteristic, complemented
337	#3045	C₂×C₇	1	1	yes	characteristic, complemented
338	#3045	C₂×C₇	1	1	yes	characteristic, complemented
339	#3036	C₂×C₇	1	1	yes	characteristic, complemented
340	#3035	C₂×C₇	1	1	yes	characteristic, complemented
341	#2906	C₂×C₇	1	1	yes	characteristic, complemented
342	C₂⁴×C₇	—	2	1	no	—
343	C₇×#41	—	2	2	no	—
344	C₇×#41	—	2	2	no	—
345	C₇×#41	—	2	2	no	—
346	C₇×#41	—	2	2	no	—
347	C₇×#41	—	2	2	no	—
348	C₇×#41	—	2	2	no	—
349	C₇×#41	—	2	2	no	—
350	C₇×#41	—	2	2	no	—
351	C₇×#41	—	8	4	no	—
352	C₂×C₇×Q₈	—	2	2	no	—
353	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
354	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
355	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
356	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
357	C₂×C₇×D₄	—	2	1	no	—
358	C₂×C₇×D₄	—	2	1	no	—
359	C₂×C₇×D₄	—	2	1	no	—
360	C₂×C₇×D₄	—	2	2	no	—
361	C₂×C₇×D₄	—	2	2	no	—
362	C₂×C₇×D₄	—	2	2	no	—
363	C₂×C₇×D₄	—	2	2	no	—
364	C₂×C₇×D₄	—	2	2	no	—
365	C₂×C₇×D₄	—	2	1	no	—
366	C₂×C₇×D₄	—	2	2	no	—
367	C₂×C₇×D₄	—	2	1	no	—
368	C₂×C₇×D₄	—	2	1	no	—
369	C₂×C₇×D₄	—	2	2	no	—
370	C₂×C₇×D₄	—	2	2	no	—
371	C₂×C₇×D₄	—	2	2	no	—
372	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
373	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
374	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
375	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
376	C₂×C₇×D₄	C₂⁴	1	2	yes	—
377	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₇	—	2	1	no	—
379	C₂²×C₄×C₇	—	2	1	no	—
380	C₂²×C₄×C₇	—	2	1	no	—
381	C₂²×C₄×C₇	—	2	1	no	—
382	C₂²×C₄×C₇	—	2	1	no	—
383	C₂²×C₄×C₇	—	2	1	no	—
384	C₂²×C₄×C₇	—	2	1	no	—
385	C₂²×C₄×C₇	—	2	2	no	—
386	C₂²×C₄×C₇	—	2	1	no	—
387	C₂²×C₄×C₇	—	2	2	no	—
388	C₂²×C₄×C₇	—	2	2	no	—
389	C₂²×C₄×C₇	—	2	2	no	—
390	C₂²×C₄×C₇	—	8	2	no	—
391	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
392	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
393	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
394	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
395	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
396	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
397	C₇×Q₁₆	—	4	1	no	—
398	C₇×Q₁₆	—	4	1	no	—
399	C₇×SD₁₆	—	4	1	no	—
400	C₇×SD₁₆	—	4	1	no	—
401	C₇×SD₁₆	—	4	1	no	—
402	C₇×SD₁₆	—	4	1	no	—
403	C₇×SD₁₆	—	4	2	no	—
404	C₇×SD₁₆	—	4	2	no	—
405	C₇×D₈	—	4	1	no	—
406	C₇×D₈	—	4	1	no	—
407	C₇×D₈	—	4	2	no	—
408	C₇×D₈	—	4	2	no	—
409	C₇×M₁₆	—	2	2	no	—
410	C₇×M₁₆	—	2	2	no	—
411	C₇×M₁₆	—	4	2	no	—
412	C₇×M₁₆	—	4	2	no	—
413	C₂×C₇×C₈	—	2	2	no	—
414	C₂×C₇×C₈	—	2	2	no	—
415	C₂×C₇×C₈	—	4	2	no	—
416	C₂×C₇×C₈	—	4	2	no	—
417	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
418	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
419	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
420	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
421	C₂×C₇×C₈	C₂⁴	1	2	yes	—
422	C₂×C₇×C₈	C₂⁴	1	2	yes	—
423	C₇×C₄⋊C₄	—	2	1	no	—
424	C₇×C₄⋊C₄	—	2	1	no	—
425	C₇×C₄⋊C₄	—	2	2	no	—
426	C₇×C₄⋊C₄	—	2	2	no	—
427	C₇×C₄⋊C₄	—	2	2	no	—
428	C₇×C₄⋊C₄	—	2	2	no	—
429	C₇×C₄⋊C₄	—	2	2	no	—
430	C₇×C₄⋊C₄	—	2	2	no	—
431	C₇×C₄⋊C₄	—	2	1	no	—
432	C₇×C₄⋊C₄	—	2	1	no	—
433	C₇×C₄⋊C₄	—	2	1	no	—
434	C₇×C₄⋊C₄	—	2	2	no	—
435	C₇×C₄⋊C₄	—	2	2	no	—
436	C₇×C₄⋊C₄	—	2	2	no	—
437	C₇×C₄⋊C₄	—	2	2	no	—
438	C₇×C₄⋊C₄	—	2	2	no	—
439	C₇×C₄⋊C₄	—	2	2	no	—
440	C₇×C₄⋊C₄	—	2	1	no	—
441	C₇×C₄⋊C₄	—	2	1	no	—
442	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
443	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
444	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
445	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
446	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
447	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
448	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
449	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
450	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
451	C₇×C₂²⋊C₄	—	2	1	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	—	2	2	no	—
457	C₇×C₂²⋊C₄	—	2	1	no	—
458	C₇×C₂²⋊C₄	—	2	1	no	—
459	C₇×C₂²⋊C₄	—	2	1	no	—
460	C₇×C₂²⋊C₄	—	2	1	no	—
461	C₇×C₂²⋊C₄	—	2	2	no	—
462	C₇×C₂²⋊C₄	—	2	2	no	—
463	C₇×C₂²⋊C₄	—	2	2	no	—
464	C₇×C₂²⋊C₄	—	2	2	no	—
465	C₇×C₂²⋊C₄	—	2	2	no	—
466	C₇×C₂²⋊C₄	—	2	2	no	—
467	C₇×C₂²⋊C₄	—	2	1	no	—
468	C₇×C₂²⋊C₄	—	2	1	no	—
469	C₇×C₂²⋊C₄	—	2	2	no	—
470	C₇×C₂²⋊C₄	—	2	2	no	—
471	C₇×C₂²⋊C₄	—	2	2	no	—
472	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
473	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
474	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
475	C₄²×C₇	—	2	1	no	—
476	C₄²×C₇	—	2	1	no	—
477	C₄²×C₇	—	2	1	no	—
478	C₄²×C₇	—	2	2	no	—
479	C₄²×C₇	—	2	2	no	—
480	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
481	C₄²×C₇	C₂×D₄	1	2	yes	—
482	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
483	C₄²×C₇	C₂×D₄	1	2	yes	—
484	C₄²×C₇	C₂⁴	1	1	yes	characteristic
485	C₄²×C₇	C₂⁴	1	1	yes	characteristic
486	C₄²×C₇	C₂⁴	1	2	yes	—
487	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
488	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
489	C₂×#135	C₂²×C₇	1	1	yes	characteristic
490	C₂×#135	C₂²×C₇	1	1	yes	characteristic
491	C₂×#131	C₂²×C₇	1	1	yes	characteristic
492	C₂×#131	C₂²×C₇	1	1	yes	characteristic
493	#553	—	2	2	no	—
494	#553	—	2	2	no	—
495	#553	—	2	1	no	—
496	#553	—	2	1	no	—
497	#552	—	2	1	no	—
498	#552	—	2	1	no	—
499	#544	C₂²×C₇	1	1	yes	characteristic
500	#542	—	2	1	no	—
501	#542	C₂²×C₇	1	2	yes	—
502	#541	C₂²×C₇	1	2	yes	complemented
503	#540	—	2	1	no	—
504	#540	C₂²×C₇	1	2	yes	—
505	#540	C₂²×C₇	1	2	yes	complemented
506	#538	—	2	2	no	—
507	#537	C₂²×C₇	1	1	yes	characteristic
508	#537	C₂²×C₇	1	1	yes	characteristic
509	#537	C₂²×C₇	1	1	yes	characteristic
510	#535	C₂²×C₇	1	1	yes	characteristic
511	#535	C₂²×C₇	1	1	yes	characteristic
512	#532	—	2	1	no	—
513	#532	C₂²×C₇	1	1	yes	characteristic
514	#532	C₂²×C₇	1	2	yes	—
515	#529	—	2	1	no	—
516	#529	C₂²×C₇	1	2	yes	—
517	#529	C₂²×C₇	1	2	yes	complemented
518	#529	C₂²×C₇	1	2	yes	complemented
519	C₂×#125	C₂²×C₇	1	1	yes	characteristic
520	#525	—	2	2	no	—
521	#520	C₂²×C₇	1	1	yes	characteristic
522	#520	C₂²×C₇	1	1	yes	characteristic
523	C₄×#41	C₂²×C₇	1	1	yes	characteristic
524	C₄×#41	C₂²×C₇	1	1	yes	characteristic
525	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
526	#479	C₂²×C₇	1	2	yes	complemented
527	#479	C₂²×C₇	1	2	yes	complemented
528	#479	C₂²×C₇	1	2	yes	complemented
529	#479	C₂²×C₇	1	2	yes	complemented
530	#478	C₂²×C₇	1	2	yes	—
531	#478	C₂²×C₇	1	2	yes	—
532	#478	C₂²×C₇	1	2	yes	—
533	#478	C₂²×C₇	1	2	yes	—
534	#478	C₂²×C₇	1	2	yes	complemented
535	#478	C₂²×C₇	1	2	yes	complemented
536	#478	C₂²×C₇	1	2	yes	complemented
537	#478	C₂²×C₇	1	2	yes	complemented
538	#477	C₂²×C₇	1	2	yes	complemented
539	#476	C₂²×C₇	1	2	yes	complemented
540	#475	C₂²×C₇	1	2	yes	complemented
541	#474	C₂²×C₇	1	2	yes	complemented
542	#470	C₂²×C₇	1	2	yes	complemented
543	#469	C₂²×C₇	1	2	yes	—
544	#469	C₂²×C₇	1	2	yes	—
545	#469	C₂²×C₇	1	2	yes	complemented
546	#468	C₂²×C₇	1	2	yes	—
547	#468	C₂²×C₇	1	2	yes	—
548	#468	C₂²×C₇	1	2	yes	complemented
549	#468	C₂²×C₇	1	2	yes	complemented
550	#467	C₂²×C₇	1	2	yes	complemented
551	#466	C₂²×C₇	1	2	yes	—
552	#466	C₂²×C₇	1	2	yes	—
553	#466	C₂²×C₇	1	2	yes	complemented
554	#465	C₂²×C₇	1	2	yes	—
555	#465	C₂²×C₇	1	2	yes	—
556	#465	C₂²×C₇	1	2	yes	complemented
557	#465	C₂²×C₇	1	2	yes	complemented
558	#464	C₂²×C₇	1	2	yes	—
559	#464	C₂²×C₇	1	2	yes	—
560	#464	C₂²×C₇	1	1	yes	characteristic, complemented
561	#464	C₂²×C₇	1	1	yes	characteristic, complemented
562	#463	C₂²×C₇	1	2	yes	—
563	#463	C₂²×C₇	1	2	yes	—
564	#463	C₂²×C₇	1	2	yes	—
565	#463	C₂²×C₇	1	2	yes	—
566	#463	C₂²×C₇	1	1	yes	characteristic, complemented
567	#463	C₂²×C₇	1	1	yes	characteristic, complemented
568	#462	C₂²×C₇	1	1	yes	characteristic, complemented
569	#461	C₂²×C₇	1	2	yes	—
570	#461	C₂²×C₇	1	1	yes	characteristic, complemented
571	#460	C₂²×C₇	1	2	yes	—
572	#460	C₂²×C₇	1	2	yes	—
573	#460	C₂²×C₇	1	1	yes	characteristic, complemented
574	#459	C₂²×C₇	1	2	yes	—
575	#459	C₂²×C₇	1	2	yes	—
576	#459	C₂²×C₇	1	2	yes	—
577	#459	C₂²×C₇	1	1	yes	characteristic, complemented
578	#428	C₂²×C₇	1	1	yes	characteristic
579	#428	C₂²×C₇	1	1	yes	characteristic
580	C₂×#107	C₂²×C₇	1	1	yes	characteristic
581	C₂×#106	C₂²×C₇	1	1	yes	characteristic
582	#424	C₂²×C₇	1	1	yes	characteristic
583	#424	C₂²×C₇	1	1	yes	characteristic
584	#424	C₂²×C₇	1	2	yes	complemented
585	#424	C₂²×C₇	1	2	yes	complemented
586	#423	C₂²×C₇	1	1	yes	characteristic
587	#423	C₂²×C₇	1	2	yes	complemented
588	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic
589	C₂×C₄⋊C₈	C₂²×C₇	1	2	yes	complemented
590	#417	C₂²×C₇	1	1	yes	characteristic
591	#417	C₂²×C₇	1	1	yes	characteristic
592	#417	C₂²×C₇	1	1	yes	characteristic
593	#417	C₂²×C₇	1	1	yes	characteristic
594	#416	C₂²×C₇	1	1	yes	characteristic
595	#416	C₂²×C₇	1	1	yes	characteristic
596	C₂×#102	C₂²×C₇	1	1	yes	characteristic
597	C₂×#102	C₂²×C₇	1	1	yes	characteristic
598	C₂³×C₇	—	2	1	no	—
599	C₂³×C₇	—	2	1	no	—
600	C₂³×C₇	—	2	2	no	—
601	C₂³×C₇	—	2	1	no	—
602	C₂³×C₇	—	4	2	no	—
603	C₂³×C₇	—	8	1	no	—
604	C₂³×C₇	—	8	1	no	—
605	C₂³×C₇	C₂²×D₄	1	2	yes	—
606	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
607	C₇×Q₈	—	2	2	no	—
608	C₇×Q₈	—	2	1	no	—
609	C₇×Q₈	—	2	1	no	—
610	C₇×Q₈	—	2	1	no	—
611	C₇×Q₈	—	2	1	no	—
612	C₇×Q₈	—	2	1	no	—
613	C₇×Q₈	—	2	1	no	—
614	C₇×Q₈	—	8	2	no	—
615	C₇×D₄	—	2	4	no	—
616	C₇×D₄	—	2	2	no	—
617	C₇×D₄	—	2	1	no	—
618	C₇×D₄	—	2	1	no	—
619	C₇×D₄	—	2	2	no	—
620	C₇×D₄	—	2	1	no	—
621	C₇×D₄	—	2	2	no	—
622	C₇×D₄	—	2	1	no	—
623	C₇×D₄	—	2	1	no	—
624	C₇×D₄	—	2	1	no	—
625	C₇×D₄	—	4	2	no	—
626	C₇×D₄	—	4	2	no	—
627	C₇×D₄	—	4	2	no	—
628	C₇×D₄	—	4	2	no	—
629	C₇×D₄	—	8	1	no	—
630	C₇×D₄	—	8	2	no	—
631	C₇×D₄	—	8	1	no	—
632	C₇×D₄	—	8	2	no	—
633	C₇×D₄	—	8	2	no	—
634	C₇×D₄	—	8	2	no	—
635	C₇×D₄	—	8	2	no	—
636	C₇×D₄	—	8	2	no	—
637	C₇×D₄	—	8	2	no	—
638	C₂×C₄×C₇	—	2	2	no	—
639	C₂×C₄×C₇	—	2	2	no	—
640	C₂×C₄×C₇	—	2	1	no	—
641	C₂×C₄×C₇	—	2	1	no	—
642	C₂×C₄×C₇	—	2	1	no	—
643	C₂×C₄×C₇	—	2	1	no	—
644	C₂×C₄×C₇	—	2	1	no	—
645	C₂×C₄×C₇	—	2	2	no	—
646	C₂×C₄×C₇	—	2	2	no	—
647	C₂×C₄×C₇	—	2	2	no	—
648	C₂×C₄×C₇	—	4	1	no	—
649	C₂×C₄×C₇	—	4	1	no	—
650	C₂×C₄×C₇	—	4	2	no	—
651	C₂×C₄×C₇	—	4	2	no	—
652	C₂×C₄×C₇	—	4	4	no	—
653	C₂×C₄×C₇	—	4	2	no	—
654	C₂×C₄×C₇	—	4	2	no	—
655	C₂×C₄×C₇	—	4	2	no	—
656	C₂×C₄×C₇	—	4	2	no	—
657	C₂×C₄×C₇	—	8	2	no	—
658	C₂×C₄×C₇	—	8	1	no	—
659	C₂×C₄×C₇	—	8	2	no	—
660	C₂×C₄×C₇	—	8	2	no	—
661	C₂×C₄×C₇	—	8	1	no	—
662	C₂×C₄×C₇	—	8	1	no	—
663	C₂×C₄×C₇	—	8	1	no	—
664	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
665	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
666	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
667	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
668	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
669	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
670	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
671	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
672	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
673	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
674	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
675	C₇×C₈	—	2	1	no	—
676	C₇×C₈	—	2	1	no	—
677	C₇×C₈	—	2	1	no	—
678	C₇×C₈	—	2	1	no	—
679	C₇×C₈	—	2	2	no	—
680	C₇×C₈	—	2	2	no	—
681	C₂×#41	—	2	2	no	—
682	C₂×#41	C₂³×C₇	1	1	yes	characteristic
683	C₂×#41	C₂³×C₇	1	1	yes	characteristic
684	C₂×#41	C₂³×C₇	1	1	yes	characteristic
685	C₂×#41	C₂³×C₇	1	1	yes	characteristic
686	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
687	C₂³×C₄	—	2	1	no	—
688	AGL(1,ℤ/8)	—	4	2	no	—
689	AGL(1,ℤ/8)	—	4	2	no	—
690	#135	—	4	2	no	—
691	#135	—	4	2	no	—
692	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
693	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
694	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
695	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
696	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
697	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
698	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
699	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
700	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
701	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
702	C₂×D₈	C₂³×C₇	1	2	yes	—
703	C₂×D₈	C₂³×C₇	1	2	yes	—
704	#131	—	4	2	no	—
705	#131	—	4	2	no	—
706	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
707	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
708	C₂×M₁₆	C₂³×C₇	1	2	yes	—
709	C₂×M₁₆	C₂³×C₇	1	2	yes	—
710	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
711	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
712	C₂²×C₈	C₂³×C₇	1	2	yes	—
713	C₂²×C₈	C₂³×C₇	1	2	yes	—
714	C₄⋊Q₈	—	2	1	no	—
715	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
716	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
717	#127	—	2	1	no	—
718	#127	C₂³×C₇	1	2	yes	—
719	#127	C₂³×C₇	1	1	yes	characteristic
720	#126	—	2	2	no	—
721	#126	—	2	2	no	—
722	#126	—	2	2	no	—
723	#126	—	2	2	no	—
724	#126	—	2	2	no	—
725	#126	—	2	2	no	—
726	#125	—	2	1	no	—
727	#125	—	2	2	no	—
728	#125	—	2	2	no	—
729	#125	—	2	1	no	—
730	#125	—	2	1	no	—
731	#125	C₂³×C₇	1	2	yes	—
732	#125	C₂³×C₇	1	2	yes	—
733	#125	C₂³×C₇	1	2	yes	—
734	#124	—	2	1	no	—
735	#124	—	2	2	no	—
736	#124	—	2	2	no	—
737	#124	C₂³×C₇	1	2	yes	—
738	#124	C₂³×C₇	1	1	yes	characteristic
739	#124	C₂³×C₇	1	1	yes	characteristic
740	#123	—	2	2	no	—
741	#123	—	2	2	no	—
742	#123	—	2	2	no	—
743	#123	—	2	2	no	—
744	#123	—	2	2	no	—
745	#123	—	2	2	no	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	C₂²⋊Q₈	—	2	1	no	—
749	C₂²⋊Q₈	—	2	1	no	—
750	C₂²⋊Q₈	—	2	1	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
754	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
755	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
756	#121	—	2	2	no	—
757	#121	—	2	1	no	—
758	#121	—	2	1	no	—
759	#121	—	2	1	no	—
760	#121	—	2	2	no	—
761	#121	—	2	2	no	—
762	#121	—	2	2	no	—
763	#121	—	2	1	no	—
764	#121	—	2	1	no	—
765	#121	—	2	1	no	—
766	#121	—	2	1	no	—
767	#121	—	2	2	no	—
768	#121	—	2	2	no	—
769	#121	—	2	2	no	—
770	#121	—	2	2	no	—
771	#121	C₂³×C₇	1	2	yes	—
772	#121	C₂³×C₇	1	2	yes	—
773	#121	C₂³×C₇	1	2	yes	—
774	#121	C₂³×C₇	1	2	yes	—
775	#121	C₂³×C₇	1	2	yes	—
776	#120	—	2	2	no	—
777	#120	—	2	2	no	—
778	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
779	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
780	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
781	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
782	C₄×Q₈	C₂³×C₇	1	2	yes	—
783	C₄×Q₈	C₂³×C₇	1	2	yes	—
784	C₄×D₄	—	2	1	no	—
785	C₄×D₄	—	2	1	no	—
786	C₄×D₄	—	2	2	no	—
787	C₄×D₄	—	2	2	no	—
788	C₄×D₄	—	2	2	no	—
789	C₄×D₄	—	2	2	no	—
790	C₄×D₄	—	2	2	no	—
791	C₄×D₄	—	2	1	no	—
792	C₄×D₄	—	2	1	no	—
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	C₇×D₄	1	2	yes	—
797	C₄×D₄	C₇×D₄	1	1	yes	characteristic
798	C₄×D₄	C₇×D₄	1	2	yes	—
799	C₄×D₄	C₇×D₄	1	1	yes	characteristic
800	C₄×D₄	C₂³×C₇	1	2	yes	—
801	C₄×D₄	C₂³×C₇	1	2	yes	—
802	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
803	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
804	C₄×D₄	C₂³×C₇	1	2	yes	—
805	C₄×D₄	C₂³×C₇	1	2	yes	—
806	#117	—	2	1	no	—
807	#117	—	2	1	no	—
808	#117	—	2	1	no	—
809	#117	—	2	2	no	—
810	#117	—	2	2	no	—
811	#117	—	2	2	no	—
812	#117	C₂³×C₇	1	1	yes	characteristic
813	#117	C₂³×C₇	1	1	yes	characteristic
814	#117	C₂³×C₇	1	2	yes	—
815	C₂×C₄⋊C₄	—	2	1	no	—
816	C₂×C₄⋊C₄	—	2	1	no	—
817	C₂×C₄⋊C₄	—	2	1	no	—
818	C₂×C₄⋊C₄	—	2	1	no	—
819	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
820	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
821	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
822	C₂×C₂²⋊C₄	—	2	1	no	—
823	C₂×C₄²	—	2	1	no	—
824	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
825	C₂×C₄²	C₂³×C₇	1	2	yes	—
826	#107	C₂³×C₇	1	2	yes	—
827	#107	C₂³×C₇	1	2	yes	—
828	#107	C₂³×C₇	1	2	yes	—
829	#107	C₂³×C₇	1	2	yes	—
830	#106	C₂³×C₇	1	2	yes	—
831	#106	C₂³×C₇	1	2	yes	—
832	#106	C₂³×C₇	1	2	yes	—
833	#106	C₂³×C₇	1	2	yes	—
834	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
835	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
836	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
837	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
838	C₄⋊C₈	C₂³×C₇	1	2	yes	—
839	C₄⋊C₈	C₂³×C₇	1	2	yes	—
840	C₄⋊C₈	C₂³×C₇	1	2	yes	—
841	C₄⋊C₈	C₂³×C₇	1	2	yes	—
842	C₄⋊C₈	C₂³×C₇	1	2	yes	—
843	C₄⋊C₈	C₂³×C₇	1	2	yes	—
844	#103	C₂³×C₇	1	1	yes	characteristic
845	#103	C₂³×C₇	1	1	yes	characteristic
846	#103	C₂³×C₇	1	1	yes	characteristic
847	#103	C₂³×C₇	1	1	yes	characteristic
848	#103	C₂³×C₇	1	2	yes	—
849	#103	C₂³×C₇	1	2	yes	—
850	#103	C₂³×C₇	1	2	yes	—
851	#103	C₂³×C₇	1	2	yes	—
852	#102	C₂³×C₇	1	2	yes	—
853	#102	C₂³×C₇	1	2	yes	—
854	#102	C₂³×C₇	1	2	yes	—
855	#102	C₂³×C₇	1	2	yes	—
856	#102	C₂³×C₇	1	1	yes	characteristic
857	#102	C₂³×C₇	1	1	yes	characteristic
858	#102	C₂³×C₇	1	1	yes	characteristic
859	#102	C₂³×C₇	1	1	yes	characteristic
860	#102	C₂³×C₇	1	2	yes	—
861	#102	C₂³×C₇	1	2	yes	—
862	#102	C₂³×C₇	1	2	yes	—
863	#102	C₂³×C₇	1	2	yes	—
864	C₂²×C₇	—	2	1	no	—
865	C₂²×C₇	—	2	1	no	—
866	C₂²×C₇	—	2	2	no	—
867	C₂²×C₇	—	2	2	no	—
868	C₂²×C₇	—	2	2	no	—
869	C₂²×C₇	—	4	1	no	—
870	C₂²×C₇	—	4	1	no	—
871	C₂²×C₇	—	4	1	no	—
872	C₂²×C₇	—	4	2	no	—
873	C₂²×C₇	—	4	2	no	—
874	C₂²×C₇	—	4	1	no	—
875	C₂²×C₇	—	4	1	no	—
876	C₂²×C₇	—	4	1	no	—
877	C₂²×C₇	—	4	1	no	—
878	C₂²×C₇	—	4	1	no	—
879	C₂²×C₇	—	4	1	no	—
880	C₂²×C₇	—	4	2	no	—
881	C₂²×C₇	—	8	4	no	—
882	C₂²×C₇	#537	1	2	yes	—
883	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
884	C₄×C₇	—	2	1	no	—
885	C₄×C₇	—	2	1	no	—
886	C₄×C₇	—	2	2	no	—
887	C₄×C₇	—	2	1	no	—
888	C₄×C₇	—	2	1	no	—
889	C₄×C₇	—	2	2	no	—
890	C₄×C₇	—	2	2	no	—
891	C₄×C₇	—	4	2	no	—
892	C₄×C₇	—	4	1	no	—
893	C₄×C₇	—	4	2	no	—
894	C₄×C₇	—	4	1	no	—
895	C₄×C₇	—	4	2	no	—
896	C₄×C₇	—	4	1	no	—
897	C₄×C₇	—	4	1	no	—
898	C₄×C₇	—	4	1	no	—
899	C₄×C₇	#537	1	2	yes	—
900	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
901	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
902	C₂⁴	—	2	1	no	—
903	#41	—	2	2	no	—
904	#41	—	2	2	no	—
905	#41	—	2	2	no	—
906	#41	—	2	2	no	—
907	#41	—	2	2	no	—
908	#41	—	2	2	no	—
909	#41	—	2	2	no	—
910	#41	—	2	2	no	—
911	#41	—	8	4	no	—
912	C₂×Q₈	—	2	2	no	—
913	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
914	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
915	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
916	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
917	C₂×D₄	—	2	1	no	—
918	C₂×D₄	—	2	1	no	—
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	2	no	—
925	C₂×D₄	—	2	1	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	1	no	—
928	C₂×D₄	—	2	1	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
933	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
934	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
935	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
936	C₂×D₄	C₂⁴×C₇	1	2	yes	—
937	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
938	C₂²×C₄	—	2	1	no	—
939	C₂²×C₄	—	2	1	no	—
940	C₂²×C₄	—	2	1	no	—
941	C₂²×C₄	—	2	1	no	—
942	C₂²×C₄	—	2	1	no	—
943	C₂²×C₄	—	2	1	no	—
944	C₂²×C₄	—	2	1	no	—
945	C₂²×C₄	—	2	2	no	—
946	C₂²×C₄	—	2	1	no	—
947	C₂²×C₄	—	2	2	no	—
948	C₂²×C₄	—	2	2	no	—
949	C₂²×C₄	—	2	2	no	—
950	C₂²×C₄	—	8	2	no	—
951	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
952	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
953	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
954	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
955	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
956	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
957	Q₁₆	—	4	1	no	—
958	Q₁₆	—	4	1	no	—
959	SD₁₆	—	4	1	no	—
960	SD₁₆	—	4	1	no	—
961	SD₁₆	—	4	1	no	—
962	SD₁₆	—	4	1	no	—
963	SD₁₆	—	4	2	no	—
964	SD₁₆	—	4	2	no	—
965	D₈	—	4	1	no	—
966	D₈	—	4	1	no	—
967	D₈	—	4	2	no	—
968	D₈	—	4	2	no	—
969	M₁₆	—	2	2	no	—
970	M₁₆	—	2	2	no	—
971	M₁₆	—	4	2	no	—
972	M₁₆	—	4	2	no	—
973	C₂×C₈	—	2	2	no	—
974	C₂×C₈	—	2	2	no	—
975	C₂×C₈	—	4	2	no	—
976	C₂×C₈	—	4	2	no	—
977	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
978	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
979	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
980	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
981	C₂×C₈	C₂⁴×C₇	1	2	yes	—
982	C₂×C₈	C₂⁴×C₇	1	2	yes	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	1	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	2	2	no	—
988	C₄⋊C₄	—	2	2	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	—	2	2	no	—
991	C₄⋊C₄	—	2	1	no	—
992	C₄⋊C₄	—	2	1	no	—
993	C₄⋊C₄	—	2	1	no	—
994	C₄⋊C₄	—	2	2	no	—
995	C₄⋊C₄	—	2	2	no	—
996	C₄⋊C₄	—	2	2	no	—
997	C₄⋊C₄	—	2	2	no	—
998	C₄⋊C₄	—	2	2	no	—
999	C₄⋊C₄	—	2	2	no	—
1000	C₄⋊C₄	—	2	1	no	—
1001	C₄⋊C₄	—	2	1	no	—
1002	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1003	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1004	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
1005	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
1006	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1007	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1008	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1009	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1010	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1011	C₂²⋊C₄	—	2	1	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	1	no	—
1018	C₂²⋊C₄	—	2	1	no	—
1019	C₂²⋊C₄	—	2	1	no	—
1020	C₂²⋊C₄	—	2	1	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	1	no	—
1028	C₂²⋊C₄	—	2	1	no	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	2	no	—
1031	C₂²⋊C₄	—	2	2	no	—
1032	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1033	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1034	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1035	C₄²	—	2	1	no	—
1036	C₄²	—	2	1	no	—
1037	C₄²	—	2	1	no	—
1038	C₄²	—	2	2	no	—
1039	C₄²	—	2	2	no	—
1040	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1041	C₄²	C₂×C₇×D₄	1	2	yes	—
1042	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1043	C₄²	C₂×C₇×D₄	1	2	yes	—
1044	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1045	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1046	C₄²	C₂⁴×C₇	1	2	yes	—
1047	C₂×C₇	—	2	2	no	—
1048	C₂×C₇	—	4	2	no	—
1049	C₂×C₇	—	8	1	no	—
1050	C₂×C₇	—	8	1	no	—
1051	C₂×C₇	—	8	1	no	—
1052	C₂×C₇	—	8	2	no	—
1053	C₂×C₇	C₂×#537	1	1	yes	characteristic
1054	C₂×C₇	#3584	1	1	yes	characteristic
1055	C₂×C₇	#3585	1	1	yes	characteristic
1056	C₂³	—	2	1	no	—
1057	C₂³	—	2	1	no	—
1058	C₂³	—	2	2	no	—
1059	C₂³	—	2	1	no	—
1060	C₂³	—	4	2	no	—
1061	C₂³	—	8	1	no	—
1062	C₂³	—	8	1	no	—
1063	C₂³	C₂²×C₇×D₄	1	2	yes	—
1064	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1065	Q₈	—	2	2	no	—
1066	Q₈	—	2	1	no	—
1067	Q₈	—	2	1	no	—
1068	Q₈	—	2	1	no	—
1069	Q₈	—	2	1	no	—
1070	Q₈	—	2	1	no	—
1071	Q₈	—	2	1	no	—
1072	Q₈	—	8	2	no	—
1073	D₄	—	2	4	no	—
1074	D₄	—	2	1	no	—
1075	D₄	—	2	1	no	—
1076	D₄	—	2	2	no	—
1077	D₄	—	2	1	no	—
1078	D₄	—	2	2	no	—
1079	D₄	—	2	1	no	—
1080	D₄	—	2	1	no	—
1081	D₄	—	2	1	no	—
1082	D₄	—	2	2	no	—
1083	D₄	—	4	2	no	—
1084	D₄	—	4	2	no	—
1085	D₄	—	4	2	no	—
1086	D₄	—	4	2	no	—
1087	D₄	—	8	1	no	—
1088	D₄	—	8	2	no	—
1089	D₄	—	8	1	no	—
1090	D₄	—	8	2	no	—
1091	D₄	—	8	2	no	—
1092	D₄	—	8	2	no	—
1093	D₄	—	8	2	no	—
1094	D₄	—	8	2	no	—
1095	D₄	—	8	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	4	1	no	—
1107	C₂×C₄	—	4	1	no	—
1108	C₂×C₄	—	4	2	no	—
1109	C₂×C₄	—	4	2	no	—
1110	C₂×C₄	—	4	4	no	—
1111	C₂×C₄	—	4	2	no	—
1112	C₂×C₄	—	4	2	no	—
1113	C₂×C₄	—	4	2	no	—
1114	C₂×C₄	—	4	2	no	—
1115	C₂×C₄	—	8	2	no	—
1116	C₂×C₄	—	8	1	no	—
1117	C₂×C₄	—	8	2	no	—
1118	C₂×C₄	—	8	2	no	—
1119	C₂×C₄	—	8	1	no	—
1120	C₂×C₄	—	8	1	no	—
1121	C₂×C₄	—	8	1	no	—
1122	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1123	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1124	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1125	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1126	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1127	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1128	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1129	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1130	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1131	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
1132	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1133	C₈	—	2	1	no	—
1134	C₈	—	2	1	no	—
1135	C₈	—	2	1	no	—
1136	C₈	—	2	1	no	—
1137	C₈	—	2	2	no	—
1138	C₈	—	2	2	no	—
1139	C₇	#60933	1	1	yes	characteristic, direct product factor, Sylow
1140	C₂²	—	2	1	no	—
1141	C₂²	—	2	1	no	—
1142	C₂²	—	2	2	no	—
1143	C₂²	—	2	2	no	—
1144	C₂²	—	2	2	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	4	1	no	—
1147	C₂²	—	4	1	no	—
1148	C₂²	—	4	2	no	—
1149	C₂²	—	4	2	no	—
1150	C₂²	—	4	1	no	—
1151	C₂²	—	4	1	no	—
1152	C₂²	—	4	1	no	—
1153	C₂²	—	4	1	no	—
1154	C₂²	—	4	1	no	—
1155	C₂²	—	4	1	no	—
1156	C₂²	—	4	2	no	—
1157	C₂²	—	8	4	no	—
1158	C₂²	C₇×#537	1	2	yes	—
1159	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1160	C₄	—	2	1	no	—
1161	C₄	—	2	1	no	—
1162	C₄	—	2	2	no	—
1163	C₄	—	2	1	no	—
1164	C₄	—	2	1	no	—
1165	C₄	—	2	2	no	—
1166	C₄	—	2	2	no	—
1167	C₄	—	4	2	no	—
1168	C₄	—	4	1	no	—
1169	C₄	—	4	2	no	—
1170	C₄	—	4	1	no	—
1171	C₄	—	4	2	no	—
1172	C₄	—	4	1	no	—
1173	C₄	—	4	1	no	—
1174	C₄	—	4	1	no	—
1175	C₄	C₇×#537	1	2	yes	—
1176	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1177	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1178	C₂	—	2	2	no	—
1179	C₂	—	4	2	no	—
1180	C₂	—	8	2	no	—
1181	C₂	—	8	1	no	—
1182	C₂	—	8	1	no	—
1183	C₂	—	8	1	no	—
1184	C₂	C₂×C₇×#537	1	1	yes	characteristic
1185	C₂	C₇×#3584	1	1	yes	characteristic
1186	C₂	C₇×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₄×C₇×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3512	C₂	semidirect
2. C₇×#3460	C₂	semidirect
3. C₇×#3260	C₂	semidirect
4. C₇×#3259	C₂	semidirect
5. C₇×#3258	C₂	semidirect
6. C₇×#3257	C₂	semidirect
7. C₇×#3256	C₂	semidirect
8. C₇×#3251	C₂	semidirect
9. C₇×#3250	C₂	semidirect
10. C₇×#3247	C₂	semidirect
11. C₇×#3084	C₂	semidirect
12. C₇×#3083	C₂	semidirect
13. C₇×#3080	C₂	semidirect
14. C₂×C₇×#478	C₂	semidirect
15. C₇×#3062	C₂	semidirect
16. C₇×#3062	C₂	semidirect
17. C₇×#3061	C₂	semidirect
18. C₇×#3060	C₂	semidirect
19. C₇×#3045	C₂	semidirect
20. C₇×#3045	C₂	semidirect
21. C₇×#3036	C₂	semidirect
22. C₇×#3035	C₂	semidirect
23. C₇×#2906	C₂	semidirect
39. C₇×#541	C₂²	semidirect
42. C₇×#540	C₂²	semidirect
54. C₇×#529	C₂²	semidirect
55. C₇×#529	C₂²	semidirect
63. C₇×#479	C₂²	semidirect
64. C₇×#479	C₂²	semidirect
65. C₇×#479	C₂²	semidirect
66. C₇×#479	C₂²	semidirect
71. C₇×#478	C₂²	semidirect
72. C₇×#478	C₂²	semidirect
73. C₇×#478	C₂²	semidirect
74. C₇×#478	C₂²	semidirect
75. C₇×#477	C₂²	semidirect
76. C₇×#476	C₂²	semidirect
77. C₇×#475	C₂²	semidirect
78. C₇×#474	C₂²	semidirect
79. C₇×#470	C₂²	semidirect
82. C₇×#469	C₂²	semidirect
85. C₇×#468	C₂²	semidirect
86. C₇×#468	C₂²	semidirect
87. C₇×#467	C₂²	semidirect
90. C₇×#466	C₂²	semidirect
93. C₇×#465	C₂²	semidirect
94. C₇×#465	C₂²	semidirect
97. C₇×#464	C₂²	semidirect
98. C₇×#464	C₂²	semidirect
103. C₇×#463	C₂²	semidirect
104. C₇×#463	C₂²	semidirect
105. C₇×#462	C₂²	semidirect
107. C₇×#461	C₂²	semidirect
110. C₇×#460	C₂²	semidirect
114. C₇×#459	C₂²	semidirect
121. C₇×#424	C₂²	semidirect
122. C₇×#424	C₂²	semidirect
124. C₇×#423	C₂²	semidirect
126. C₂×C₇×C₄⋊C₈	C₂²	semidirect
135. #60933	C₇	direct (N × H)
319. #3512	C₂×C₇	semidirect
320. #3460	C₂×C₇	semidirect
321. #3260	C₂×C₇	semidirect
322. #3259	C₂×C₇	semidirect
323. #3258	C₂×C₇	semidirect
324. #3257	C₂×C₇	semidirect
325. #3256	C₂×C₇	semidirect
326. #3251	C₂×C₇	semidirect
327. #3250	C₂×C₇	semidirect
328. #3247	C₂×C₇	semidirect
329. #3084	C₂×C₇	semidirect
330. #3083	C₂×C₇	semidirect
331. #3080	C₂×C₇	semidirect
332. C₂×#478	C₂×C₇	semidirect
333. #3062	C₂×C₇	semidirect
334. #3062	C₂×C₇	semidirect
335. #3061	C₂×C₇	semidirect
336. #3060	C₂×C₇	semidirect
337. #3045	C₂×C₇	semidirect
338. #3045	C₂×C₇	semidirect
339. #3036	C₂×C₇	semidirect
340. #3035	C₂×C₇	semidirect
341. #2906	C₂×C₇	semidirect
502. #541	C₂²×C₇	semidirect
505. #540	C₂²×C₇	semidirect
517. #529	C₂²×C₇	semidirect
518. #529	C₂²×C₇	semidirect
526. #479	C₂²×C₇	semidirect
527. #479	C₂²×C₇	semidirect
528. #479	C₂²×C₇	semidirect
529. #479	C₂²×C₇	semidirect
534. #478	C₂²×C₇	semidirect
535. #478	C₂²×C₇	semidirect
536. #478	C₂²×C₇	semidirect
537. #478	C₂²×C₇	semidirect
538. #477	C₂²×C₇	semidirect
539. #476	C₂²×C₇	semidirect
540. #475	C₂²×C₇	semidirect
541. #474	C₂²×C₇	semidirect
542. #470	C₂²×C₇	semidirect
545. #469	C₂²×C₇	semidirect
548. #468	C₂²×C₇	semidirect
549. #468	C₂²×C₇	semidirect
550. #467	C₂²×C₇	semidirect
553. #466	C₂²×C₇	semidirect
556. #465	C₂²×C₇	semidirect
557. #465	C₂²×C₇	semidirect
560. #464	C₂²×C₇	semidirect
561. #464	C₂²×C₇	semidirect
566. #463	C₂²×C₇	semidirect
567. #463	C₂²×C₇	semidirect
568. #462	C₂²×C₇	semidirect
570. #461	C₂²×C₇	semidirect
573. #460	C₂²×C₇	semidirect
577. #459	C₂²×C₇	semidirect
584. #424	C₂²×C₇	semidirect
585. #424	C₂²×C₇	semidirect
587. #423	C₂²×C₇	semidirect
589. C₂×C₄⋊C₈	C₂²×C₇	semidirect
1139. C₇	#60933	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×#3512	2
C₇×#3460	2
C₇×#3260	2
C₇×#3259	2
C₇×#3258	2
C₇×#3257	2
C₇×#3256	2
C₇×#3251	2
C₇×#3250	2
C₇×#3247	2
C₇×#3084	2
C₇×#3083	2
C₇×#3080	2
C₂×C₇×#478	2
C₇×#3062	2
C₇×#3061	2
C₇×#3060	2
C₇×#3045	2
C₇×#3036	2
C₇×#3035	2
C₇×#2906	2
#60933	7

Subgroups — C7×#60933 #13238149

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60933 #13238149