Subgroups — C₇×#61156 #13238372

Order 1792.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1424 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3475	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₇×#546	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3323	C₂	1	2	yes	maximal, complemented
4	C₇×#3322	C₂	1	2	yes	maximal, complemented
5	C₇×#3319	C₂	1	2	yes	maximal, complemented
6	C₇×#3314	C₂	1	2	yes	maximal, complemented
7	C₇×#3311	C₂	1	2	yes	maximal, complemented
8	C₇×#3306	C₂	1	2	yes	maximal, complemented
9	C₇×#3297	C₂	1	2	yes	maximal, complemented
10	C₇×#3296	C₂	1	2	yes	maximal, complemented
11	C₇×#3140	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3095	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3094	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3077	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3056	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3055	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3040	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3005	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3003	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₇×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×D₄×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#2896	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₇×#418	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
25	C₂³×C₇×D₄	C₂²	1	1	yes	characteristic
26	C₂×C₇×#137	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
28	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
29	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic
30	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
31	C₇×#556	C₂²	1	1	yes	characteristic, complemented
32	C₇×#555	C₂²	1	1	yes	characteristic, complemented
33	C₇×#554	C₂²	1	1	yes	characteristic, complemented
34	C₇×#553	C₂²	1	1	yes	characteristic, complemented
35	C₇×#553	C₂²	1	1	yes	characteristic, complemented
36	C₇×#552	—	2	1	no	—
37	C₇×#552	C₂²	1	1	yes	characteristic, complemented
38	C₇×#552	C₂²	1	1	yes	characteristic, complemented
39	C₇×#551	—	2	1	no	—
40	C₇×#551	—	2	1	no	—
41	C₇×#547	C₂²	1	1	yes	characteristic, complemented
42	C₇×#546	—	2	1	no	—
43	C₇×#546	—	2	1	no	—
44	C₇×#546	—	2	1	no	—
45	C₇×#546	—	2	1	no	—
46	C₇×#546	—	2	1	no	—
47	C₇×#546	C₂²	1	2	yes	—
48	C₇×#546	C₂²	1	2	yes	—
49	C₇×#546	C₂²	1	2	yes	—
50	C₇×#546	C₂²	1	2	yes	—
51	C₇×#533	C₂²	1	1	yes	characteristic, complemented
52	C₇×#529	—	2	1	no	—
53	C₇×#529	—	2	1	no	—
54	C₇×#529	—	2	1	no	—
55	C₂×C₇×#124	C₂²	1	1	yes	characteristic
56	C₇×#525	C₂²	1	1	yes	characteristic
57	C₇×#525	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₇×#123	—	2	1	no	—
59	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
60	C₂×C₇×#121	—	2	1	no	—
61	C₂×C₇×#121	C₂²	1	1	yes	characteristic
62	C₂×C₇×#120	—	2	1	no	—
63	C₄×C₇×#41	—	2	1	no	—
64	C₄×C₇×#41	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
66	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
67	C₂×C₇×#117	C₂²	1	1	yes	characteristic
68	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
69	C₂²×C₇×C₂²⋊C₄	—	2	1	no	—
70	C₇×#489	C₂²	1	2	yes	complemented
71	C₇×#489	C₂²	1	2	yes	complemented
72	C₇×#488	C₂²	1	2	yes	complemented
73	C₇×#488	C₂²	1	2	yes	complemented
74	C₇×#485	C₂²	1	2	yes	complemented
75	C₇×#485	C₂²	1	2	yes	complemented
76	C₇×#484	C₂²	1	2	yes	complemented
77	C₇×#483	C₂²	1	2	yes	complemented
78	C₇×#482	C₂²	1	2	yes	complemented
79	C₇×#482	C₂²	1	2	yes	complemented
80	C₇×#481	C₂²	1	2	yes	complemented
81	C₇×#480	C₂²	1	2	yes	complemented
82	C₇×#478	C₂²	1	2	yes	complemented
83	C₇×#478	C₂²	1	2	yes	complemented
84	C₇×#476	C₂²	1	2	yes	complemented
85	C₇×#474	C₂²	1	2	yes	complemented
86	C₇×#470	C₂²	1	2	yes	complemented
87	C₇×#469	C₂²	1	2	yes	complemented
88	C₇×#468	C₂²	1	2	yes	complemented
89	C₇×#468	C₂²	1	2	yes	complemented
90	C₇×#467	C₂²	1	2	yes	complemented
91	C₇×#466	C₂²	1	2	yes	complemented
92	C₇×#465	C₂²	1	2	yes	complemented
93	C₇×#465	C₂²	1	2	yes	complemented
94	C₇×#464	C₂²	1	2	yes	complemented
95	C₇×#464	C₂²	1	2	yes	complemented
96	C₇×#463	C₂²	1	2	yes	complemented
97	C₇×#463	C₂²	1	2	yes	complemented
98	C₇×#452	C₂²	1	2	yes	complemented
99	C₇×#452	C₂²	1	2	yes	complemented
100	C₇×#450	C₂²	1	2	yes	complemented
101	C₇×#450	C₂²	1	2	yes	complemented
102	C₇×#449	C₂²	1	2	yes	complemented
103	C₇×#449	C₂²	1	2	yes	complemented
104	C₇×#447	C₂²	1	2	yes	complemented
105	C₇×#447	C₂²	1	2	yes	complemented
106	C₇×#442	C₂²	1	2	yes	complemented
107	C₇×#440	C₂²	1	2	yes	complemented
108	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
109	C₄×C₇×D₈	C₂²	1	2	yes	complemented
110	C₇×#436	C₂²	1	2	yes	complemented
111	C₇×#435	C₂²	1	2	yes	complemented
112	C₇×#435	C₂²	1	2	yes	complemented
113	C₇×C₈×D₄	C₂²	1	2	yes	complemented
114	C₇×#428	C₂²	1	1	yes	characteristic, complemented
115	C₇×#428	C₂²	1	1	yes	characteristic, complemented
116	C₇×#428	C₂²	1	1	yes	characteristic, complemented
117	C₇×#423	C₂²	1	1	yes	characteristic, complemented
118	C₇×#419	C₂²	1	1	yes	characteristic, complemented
119	C₇×#419	C₂²	1	1	yes	characteristic, complemented
120	C₇×#419	C₂²	1	1	yes	characteristic, complemented
121	C₇×#418	C₂²	1	1	yes	characteristic
122	C₇×#418	C₂²	1	1	yes	characteristic
123	C₇×#418	C₂²	1	1	yes	characteristic
124	C₇×#418	C₂²	1	1	yes	characteristic
125	C₇×#418	C₂²	1	1	yes	characteristic
126	C₇×#418	C₂²	1	1	yes	characteristic
127	C₇×#418	C₂²	1	2	yes	complemented
128	C₇×#418	C₂²	1	2	yes	complemented
129	C₇×#417	C₂²	1	2	yes	complemented
130	C₇×#417	C₂²	1	2	yes	complemented
131	C₇×#417	C₂²	1	1	yes	characteristic, complemented
132	C₇×#416	C₂²	1	2	yes	complemented
133	C₇×#416	C₂²	1	2	yes	complemented
134	C₂×C₇×#102	C₂²	1	2	yes	complemented
135	C₂×C₇×#102	C₂²	1	2	yes	complemented
136	C₇×#407	C₂²	1	1	yes	characteristic
137	C₇×#407	C₂²	1	1	yes	characteristic, complemented
138	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
139	#61156	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
140	C₂⁵×C₇	—	2	1	no	—
141	C₂×C₇×#41	—	2	1	no	—
142	C₂×C₇×#41	—	2	1	no	—
143	C₂×C₇×#41	—	2	1	no	—
144	C₂×C₇×#41	—	2	4	no	—
145	C₂×C₇×#41	—	4	2	no	—
146	C₂×C₇×#41	C₂³	1	1	yes	characteristic
147	C₂×C₇×#41	C₂³	1	2	yes	—
148	C₂×C₇×#41	C₂³	1	2	yes	—
149	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
150	C₂²×C₇×D₄	—	2	4	no	—
151	C₂²×C₇×D₄	—	2	1	no	—
152	C₂²×C₇×D₄	—	2	1	no	—
153	C₂²×C₇×D₄	—	2	1	no	—
154	C₂²×C₇×D₄	—	2	1	no	—
155	C₂²×C₇×D₄	—	2	1	no	—
156	C₂²×C₇×D₄	—	4	2	no	—
157	C₂²×C₇×D₄	D₄	1	1	yes	characteristic
158	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
159	C₂²×C₇×D₄	C₂³	1	2	yes	—
160	C₂²×C₇×D₄	C₂³	1	2	yes	—
161	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
162	C₂³×C₄×C₇	—	2	1	no	—
163	C₂³×C₄×C₇	—	2	1	no	—
164	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
165	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
166	C₇×#137	—	4	2	no	—
167	C₇×AGL(1,ℤ/8)	—	2	4	no	—
168	C₇×AGL(1,ℤ/8)	—	4	2	no	—
169	C₂×C₇×Q₁₆	C₂³	1	2	yes	complemented
170	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
171	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
172	C₂×C₇×SD₁₆	C₂³	1	2	yes	complemented
173	C₂×C₇×D₈	C₂³	1	2	yes	—
174	C₂×C₇×D₈	C₂³	1	2	yes	—
175	C₂×C₇×M₁₆	—	4	2	no	—
176	C₂×C₇×M₁₆	—	4	2	no	—
177	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
178	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
179	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
180	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
181	C₂×C₇×M₁₆	C₂³	1	2	yes	—
182	C₂×C₇×M₁₆	C₂³	1	2	yes	complemented
183	C₂²×C₇×C₈	C₂³	1	2	yes	—
184	C₂²×C₇×C₈	C₂³	1	2	yes	complemented
185	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
186	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
187	C₇×#126	—	2	1	no	—
188	C₇×#126	—	2	1	no	—
189	C₇×#126	—	2	1	no	—
190	C₇×#126	—	2	1	no	—
191	C₇×#126	—	2	1	no	—
192	C₇×#126	—	2	1	no	—
193	C₇×#125	—	2	1	no	—
194	C₇×#125	—	2	1	no	—
195	C₇×#125	—	2	1	no	—
196	C₇×#125	C₂³	1	1	yes	characteristic, complemented
197	C₇×#125	C₂³	1	1	yes	characteristic, complemented
198	C₇×#124	—	2	1	no	—
199	C₇×#124	—	2	1	no	—
200	C₇×#124	—	2	1	no	—
201	C₇×#124	—	2	1	no	—
202	C₇×#124	—	2	1	no	—
203	C₇×#124	C₂³	1	2	yes	—
204	C₇×#124	C₂³	1	2	yes	—
205	C₇×#123	—	2	1	no	—
206	C₇×#123	—	2	1	no	—
207	C₇×#123	—	2	1	no	—
208	C₇×#123	—	2	1	no	—
209	C₇×#123	—	2	2	no	—
210	C₇×#123	—	2	2	no	—
211	C₇×#123	—	2	2	no	—
212	C₇×#123	—	2	2	no	—
213	C₇×#123	—	2	1	no	—
214	C₇×#123	—	2	1	no	—
215	C₇×#123	—	2	1	no	—
216	C₇×#123	—	2	1	no	—
217	C₇×C₂²⋊Q₈	—	2	1	no	—
218	C₇×C₂²⋊Q₈	—	2	1	no	—
219	C₇×C₂²⋊Q₈	—	2	1	no	—
220	C₇×C₂²⋊Q₈	—	2	1	no	—
221	C₇×C₂²⋊Q₈	—	2	1	no	—
222	C₇×C₂²⋊Q₈	—	2	1	no	—
223	C₇×C₂²⋊Q₈	—	2	1	no	—
224	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
226	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
227	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
229	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
230	C₇×#121	—	2	1	no	—
231	C₇×#121	—	2	1	no	—
232	C₇×#121	—	2	1	no	—
233	C₇×#121	—	2	1	no	—
234	C₇×#121	—	2	1	no	—
235	C₇×#121	—	2	2	no	—
236	C₇×#121	—	2	2	no	—
237	C₇×#121	—	2	2	no	—
238	C₇×#121	—	2	2	no	—
239	C₇×#121	C₂³	1	2	yes	—
240	C₇×#121	C₂³	1	1	yes	characteristic
241	C₇×#121	C₂³	1	2	yes	—
242	C₇×#121	C₂³	1	1	yes	characteristic
243	C₇×#121	C₂³	1	1	yes	characteristic, complemented
244	C₇×#121	C₂³	1	1	yes	characteristic, complemented
245	C₇×#120	—	2	1	no	—
246	C₇×#120	—	2	1	no	—
247	C₇×#120	—	2	2	no	—
248	C₇×#120	—	2	2	no	—
249	C₇×#120	—	2	2	no	—
250	C₇×#120	—	2	2	no	—
251	C₄×C₇×Q₈	—	2	1	no	—
252	C₄×C₇×Q₈	—	2	1	no	—
253	C₄×C₇×Q₈	—	2	1	no	—
254	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic, complemented
255	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic, complemented
256	C₄×C₇×D₄	—	2	1	no	—
257	C₄×C₇×D₄	—	2	1	no	—
258	C₄×C₇×D₄	—	2	1	no	—
259	C₄×C₇×D₄	—	2	1	no	—
260	C₄×C₇×D₄	—	2	1	no	—
261	C₄×C₇×D₄	—	2	1	no	—
262	C₄×C₇×D₄	—	2	1	no	—
263	C₄×C₇×D₄	—	2	1	no	—
264	C₄×C₇×D₄	—	2	1	no	—
265	C₄×C₇×D₄	—	2	1	no	—
266	C₄×C₇×D₄	—	2	1	no	—
267	C₄×C₇×D₄	D₄	1	1	yes	characteristic
268	C₄×C₇×D₄	D₄	1	1	yes	characteristic
269	C₄×C₇×D₄	D₄	1	1	yes	characteristic
270	C₄×C₇×D₄	D₄	1	1	yes	characteristic
271	C₄×C₇×D₄	C₂³	1	2	yes	—
272	C₄×C₇×D₄	C₂³	1	2	yes	—
273	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
274	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
275	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
276	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
277	C₄×C₇×D₄	C₂³	1	1	yes	characteristic, complemented
278	C₄×C₇×D₄	C₂³	1	1	yes	characteristic, complemented
279	C₇×#117	—	2	1	no	—
280	C₇×#117	—	2	1	no	—
281	C₇×#117	—	2	1	no	—
282	C₇×#117	—	2	1	no	—
283	C₇×#117	—	2	1	no	—
284	C₇×#117	—	2	1	no	—
285	C₇×#117	—	2	1	no	—
286	C₇×#117	—	2	1	no	—
287	C₇×#117	C₂³	1	1	yes	characteristic
288	C₇×#117	C₂³	1	1	yes	characteristic
289	C₇×#117	C₂³	1	1	yes	characteristic
290	C₇×#117	C₂³	1	1	yes	characteristic
291	C₇×#117	C₂³	1	1	yes	characteristic
292	C₇×#117	C₂³	1	1	yes	characteristic, complemented
293	C₇×#117	C₂³	1	1	yes	characteristic, complemented
294	C₂×C₇×C₄⋊C₄	—	2	1	no	—
295	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
296	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
300	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
301	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
302	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
303	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
304	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
305	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
306	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
307	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
308	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
309	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
310	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
311	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
312	C₂×C₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
313	C₂×C₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
314	C₂×C₄²×C₇	—	2	1	no	—
315	C₂×C₄²×C₇	—	2	1	no	—
316	C₂×C₄²×C₇	—	2	1	no	—
317	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
318	C₇×#107	C₂³	1	2	yes	complemented
319	C₇×#107	C₂³	1	2	yes	complemented
320	C₇×#107	C₂³	1	2	yes	complemented
321	C₇×#106	C₂³	1	2	yes	complemented
322	C₇×#106	C₂³	1	2	yes	complemented
323	C₇×#106	C₂³	1	2	yes	complemented
324	C₇×C₄⋊C₈	C₂³	1	2	yes	complemented
325	C₇×C₄⋊C₈	C₂³	1	2	yes	complemented
326	C₇×#103	C₂³	1	2	yes	complemented
327	C₇×#103	C₂³	1	2	yes	complemented
328	C₇×#103	C₂³	1	2	yes	complemented
329	C₇×#103	C₂³	1	2	yes	complemented
330	C₇×#103	C₂³	1	2	yes	complemented
331	C₇×#103	C₂³	1	2	yes	complemented
332	C₇×#103	C₂³	1	2	yes	complemented
333	C₇×#102	C₂³	1	2	yes	—
334	C₇×#102	C₂³	1	2	yes	—
335	C₇×#102	C₂³	1	2	yes	—
336	C₇×#102	C₂³	1	2	yes	—
337	C₇×#102	C₂³	1	2	yes	—
338	C₇×#102	C₂³	1	2	yes	—
339	C₇×#102	C₂³	1	2	yes	—
340	C₇×#102	C₂³	1	2	yes	—
341	C₇×#102	C₂³	1	2	yes	—
342	C₇×#102	C₂³	1	2	yes	—
343	C₇×#102	C₂³	1	2	yes	—
344	C₇×#102	C₂³	1	2	yes	—
345	C₇×#102	C₂³	1	2	yes	complemented
346	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
347	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
348	C₇×C₂²⋊C₈	C₂³	1	2	yes	complemented
349	C₇×C₂²⋊C₈	C₂³	1	2	yes	complemented
350	C₇×#97	C₂³	1	2	yes	complemented
351	C₄×C₇×C₈	C₂³	1	2	yes	complemented
352	#3475	C₂×C₇	1	1	yes	characteristic, complemented
353	C₂×#546	C₂×C₇	1	1	yes	characteristic, complemented
354	#3323	C₂×C₇	1	2	yes	complemented
355	#3322	C₂×C₇	1	2	yes	complemented
356	#3319	C₂×C₇	1	2	yes	complemented
357	#3314	C₂×C₇	1	2	yes	complemented
358	#3311	C₂×C₇	1	2	yes	complemented
359	#3306	C₂×C₇	1	2	yes	complemented
360	#3297	C₂×C₇	1	2	yes	complemented
361	#3296	C₂×C₇	1	2	yes	complemented
362	#3140	C₂×C₇	1	1	yes	characteristic, complemented
363	#3095	C₂×C₇	1	1	yes	characteristic, complemented
364	#3094	C₂×C₇	1	1	yes	characteristic, complemented
365	#3077	C₂×C₇	1	1	yes	characteristic, complemented
366	#3056	C₂×C₇	1	1	yes	characteristic, complemented
367	#3055	C₂×C₇	1	1	yes	characteristic, complemented
368	#3040	C₂×C₇	1	1	yes	characteristic, complemented
369	#3005	C₂×C₇	1	1	yes	characteristic, complemented
370	#3003	C₂×C₇	1	1	yes	characteristic, complemented
371	C₄×AGL(1,ℤ/8)	C₂×C₇	1	1	yes	characteristic, complemented
372	D₄×M₁₆	C₂×C₇	1	1	yes	characteristic, complemented
373	#2896	C₂×C₇	1	1	yes	characteristic, complemented
374	C₂×#418	C₂×C₇	1	1	yes	characteristic, complemented
375	C₂⁴×C₇	—	2	1	no	—
376	C₂⁴×C₇	—	2	1	no	—
377	C₂⁴×C₇	—	2	2	no	—
378	C₂⁴×C₇	—	2	2	no	—
379	C₂⁴×C₇	—	4	4	no	—
380	C₂⁴×C₇	—	4	4	no	—
381	C₂⁴×C₇	—	8	2	no	—
382	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
383	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
384	C₇×#41	—	2	4	no	—
385	C₇×#41	—	2	4	no	—
386	C₇×#41	—	2	2	no	—
387	C₇×#41	—	2	2	no	—
388	C₇×#41	—	4	2	no	—
389	C₇×#41	—	4	2	no	—
390	C₇×#41	—	4	4	no	—
391	C₇×#41	—	4	4	no	—
392	C₇×#41	—	4	4	no	—
393	C₂×C₇×Q₈	—	2	1	no	—
394	C₂×C₇×Q₈	—	2	1	no	—
395	C₂×C₇×Q₈	—	2	1	no	—
396	C₂×C₇×Q₈	—	2	2	no	—
397	C₂×C₇×Q₈	—	2	2	no	—
398	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
399	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
400	C₂×C₇×D₄	—	2	4	no	—
401	C₂×C₇×D₄	—	2	4	no	—
402	C₂×C₇×D₄	—	2	1	no	—
403	C₂×C₇×D₄	—	2	1	no	—
404	C₂×C₇×D₄	—	2	1	no	—
405	C₂×C₇×D₄	—	2	2	no	—
406	C₂×C₇×D₄	—	2	2	no	—
407	C₂×C₇×D₄	—	2	1	no	—
408	C₂×C₇×D₄	—	2	1	no	—
409	C₂×C₇×D₄	—	2	2	no	—
410	C₂×C₇×D₄	—	2	2	no	—
411	C₂×C₇×D₄	—	2	1	no	—
412	C₂×C₇×D₄	—	2	2	no	—
413	C₂×C₇×D₄	—	2	2	no	—
414	C₂×C₇×D₄	—	2	1	no	—
415	C₂×C₇×D₄	—	2	2	no	—
416	C₂×C₇×D₄	—	2	2	no	—
417	C₂×C₇×D₄	—	2	2	no	—
418	C₂×C₇×D₄	—	4	2	no	—
419	C₂×C₇×D₄	—	4	2	no	—
420	C₂×C₇×D₄	—	4	4	no	—
421	C₂×C₇×D₄	—	4	4	no	—
422	C₂×C₇×D₄	—	4	4	no	—
423	C₂×C₇×D₄	—	4	2	no	—
424	C₂×C₇×D₄	—	4	4	no	—
425	C₂×C₇×D₄	—	8	2	no	—
426	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
427	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
428	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
429	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
430	C₂×C₇×D₄	#41	1	4	yes	complemented
431	C₂×C₇×D₄	C₂⁴	1	2	yes	—
432	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
433	C₂×C₇×D₄	C₂⁴	1	2	yes	—
434	C₂²×C₄×C₇	—	2	2	no	—
435	C₂²×C₄×C₇	—	2	2	no	—
436	C₂²×C₄×C₇	—	2	2	no	—
437	C₂²×C₄×C₇	—	2	2	no	—
438	C₂²×C₄×C₇	—	2	1	no	—
439	C₂²×C₄×C₇	—	2	1	no	—
440	C₂²×C₄×C₇	—	2	1	no	—
441	C₂²×C₄×C₇	—	2	1	no	—
442	C₂²×C₄×C₇	—	2	1	no	—
443	C₂²×C₄×C₇	—	2	1	no	—
444	C₂²×C₄×C₇	—	2	1	no	—
445	C₂²×C₄×C₇	—	2	1	no	—
446	C₂²×C₄×C₇	—	2	2	no	—
447	C₂²×C₄×C₇	—	2	2	no	—
448	C₂²×C₄×C₇	—	2	1	no	—
449	C₂²×C₄×C₇	—	2	2	no	—
450	C₂²×C₄×C₇	—	2	2	no	—
451	C₂²×C₄×C₇	—	4	4	no	—
452	C₂²×C₄×C₇	—	8	2	no	—
453	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
454	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
455	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
456	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
457	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
458	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
459	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
460	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
461	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
466	C₇×Q₁₆	—	4	2	no	—
467	C₇×SD₁₆	—	2	4	no	—
468	C₇×SD₁₆	—	4	2	no	—
469	C₇×SD₁₆	—	4	2	no	—
470	C₇×D₈	—	2	4	no	—
471	C₇×D₈	—	4	2	no	—
472	C₇×M₁₆	—	2	2	no	—
473	C₇×M₁₆	—	2	2	no	—
474	C₇×M₁₆	—	2	2	no	—
475	C₇×M₁₆	—	2	2	no	—
476	C₇×M₁₆	—	4	2	no	—
477	C₇×M₁₆	—	4	2	no	—
478	C₂×C₇×C₈	—	4	2	no	—
479	C₂×C₇×C₈	—	4	2	no	—
480	C₂×C₇×C₈	C₂⁴	1	2	yes	—
481	C₂×C₇×C₈	C₂⁴	1	2	yes	—
482	C₂×C₇×C₈	C₂⁴	1	2	yes	—
483	C₂×C₇×C₈	C₂⁴	1	2	yes	—
484	C₇×C₄⋊C₄	—	2	2	no	—
485	C₇×C₄⋊C₄	—	2	2	no	—
486	C₇×C₄⋊C₄	—	2	1	no	—
487	C₇×C₄⋊C₄	—	2	1	no	—
488	C₇×C₄⋊C₄	—	2	1	no	—
489	C₇×C₄⋊C₄	—	2	1	no	—
490	C₇×C₄⋊C₄	—	2	1	no	—
491	C₇×C₄⋊C₄	—	2	1	no	—
492	C₇×C₄⋊C₄	—	2	1	no	—
493	C₇×C₄⋊C₄	—	2	1	no	—
494	C₇×C₄⋊C₄	—	2	1	no	—
495	C₇×C₄⋊C₄	—	2	1	no	—
496	C₇×C₄⋊C₄	—	2	1	no	—
497	C₇×C₄⋊C₄	—	2	1	no	—
498	C₇×C₄⋊C₄	—	2	1	no	—
499	C₇×C₄⋊C₄	—	2	1	no	—
500	C₇×C₄⋊C₄	—	2	1	no	—
501	C₇×C₄⋊C₄	—	2	1	no	—
502	C₇×C₄⋊C₄	—	2	1	no	—
503	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
504	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
505	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
506	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
507	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
508	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
509	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
510	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
511	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
512	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
513	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
514	C₇×C₂²⋊C₄	—	2	2	no	—
515	C₇×C₂²⋊C₄	—	2	2	no	—
516	C₇×C₂²⋊C₄	—	2	1	no	—
517	C₇×C₂²⋊C₄	—	2	1	no	—
518	C₇×C₂²⋊C₄	—	2	1	no	—
519	C₇×C₂²⋊C₄	—	2	1	no	—
520	C₇×C₂²⋊C₄	—	2	1	no	—
521	C₇×C₂²⋊C₄	—	2	1	no	—
522	C₇×C₂²⋊C₄	—	2	1	no	—
523	C₇×C₂²⋊C₄	—	2	1	no	—
524	C₇×C₂²⋊C₄	—	2	1	no	—
525	C₇×C₂²⋊C₄	—	2	1	no	—
526	C₇×C₂²⋊C₄	—	2	1	no	—
527	C₇×C₂²⋊C₄	—	2	2	no	—
528	C₇×C₂²⋊C₄	—	2	2	no	—
529	C₇×C₂²⋊C₄	—	2	2	no	—
530	C₇×C₂²⋊C₄	—	2	2	no	—
531	C₇×C₂²⋊C₄	—	2	2	no	—
532	C₇×C₂²⋊C₄	—	2	2	no	—
533	C₇×C₂²⋊C₄	—	2	2	no	—
534	C₇×C₂²⋊C₄	—	2	2	no	—
535	C₇×C₂²⋊C₄	—	2	1	no	—
536	C₇×C₂²⋊C₄	—	2	1	no	—
537	C₇×C₂²⋊C₄	—	2	1	no	—
538	C₇×C₂²⋊C₄	—	2	1	no	—
539	C₇×C₂²⋊C₄	—	2	1	no	—
540	C₇×C₂²⋊C₄	—	2	1	no	—
541	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
542	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
543	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
544	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
545	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
546	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
547	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
548	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
549	C₄²×C₇	—	2	1	no	—
550	C₄²×C₇	—	2	1	no	—
551	C₄²×C₇	—	2	1	no	—
552	C₄²×C₇	—	2	1	no	—
553	C₄²×C₇	—	2	1	no	—
554	C₄²×C₇	—	2	1	no	—
555	C₄²×C₇	—	2	1	no	—
556	C₄²×C₇	—	2	1	no	—
557	C₄²×C₇	—	2	1	no	—
558	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
559	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
560	C₄²×C₇	C₂⁴	1	1	yes	characteristic
561	C₄²×C₇	C₂⁴	1	1	yes	characteristic
562	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
563	C₂³×D₄	C₂²×C₇	1	1	yes	characteristic
564	C₂×#137	C₂²×C₇	1	1	yes	characteristic, complemented
565	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
566	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
567	C₂²×M₁₆	C₂²×C₇	1	1	yes	characteristic
568	C₂²×M₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
569	#556	C₂²×C₇	1	1	yes	characteristic, complemented
570	#555	C₂²×C₇	1	1	yes	characteristic, complemented
571	#554	C₂²×C₇	1	1	yes	characteristic, complemented
572	#553	C₂²×C₇	1	1	yes	characteristic, complemented
573	#553	C₂²×C₇	1	1	yes	characteristic, complemented
574	#552	—	2	1	no	—
575	#552	C₂²×C₇	1	1	yes	characteristic, complemented
576	#552	C₂²×C₇	1	1	yes	characteristic, complemented
577	#551	—	2	1	no	—
578	#551	—	2	1	no	—
579	#547	C₂²×C₇	1	1	yes	characteristic, complemented
580	#546	—	2	1	no	—
581	#546	—	2	1	no	—
582	#546	—	2	1	no	—
583	#546	—	2	1	no	—
584	#546	—	2	1	no	—
585	#546	C₂²×C₇	1	2	yes	—
586	#546	C₂²×C₇	1	2	yes	—
587	#546	C₂²×C₇	1	2	yes	—
588	#546	C₂²×C₇	1	2	yes	—
589	#533	C₂²×C₇	1	1	yes	characteristic, complemented
590	#529	—	2	1	no	—
591	#529	—	2	1	no	—
592	#529	—	2	1	no	—
593	C₂×#124	C₂²×C₇	1	1	yes	characteristic
594	#525	C₂²×C₇	1	1	yes	characteristic
595	#525	C₂²×C₇	1	1	yes	characteristic, complemented
596	C₂×#123	—	2	1	no	—
597	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
598	C₂×#121	—	2	1	no	—
599	C₂×#121	C₂²×C₇	1	1	yes	characteristic
600	C₂×#120	—	2	1	no	—
601	C₄×#41	—	2	1	no	—
602	C₄×#41	C₂²×C₇	1	1	yes	characteristic, complemented
603	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
604	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
605	C₂×#117	C₂²×C₇	1	1	yes	characteristic
606	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
607	C₂²×C₂²⋊C₄	—	2	1	no	—
608	#489	C₂²×C₇	1	2	yes	complemented
609	#489	C₂²×C₇	1	2	yes	complemented
610	#488	C₂²×C₇	1	2	yes	complemented
611	#488	C₂²×C₇	1	2	yes	complemented
612	#485	C₂²×C₇	1	2	yes	complemented
613	#485	C₂²×C₇	1	2	yes	complemented
614	#484	C₂²×C₇	1	2	yes	complemented
615	#483	C₂²×C₇	1	2	yes	complemented
616	#482	C₂²×C₇	1	2	yes	complemented
617	#482	C₂²×C₇	1	2	yes	complemented
618	#481	C₂²×C₇	1	2	yes	complemented
619	#480	C₂²×C₇	1	2	yes	complemented
620	#478	C₂²×C₇	1	2	yes	complemented
621	#478	C₂²×C₇	1	2	yes	complemented
622	#476	C₂²×C₇	1	2	yes	complemented
623	#474	C₂²×C₇	1	2	yes	complemented
624	#470	C₂²×C₇	1	2	yes	complemented
625	#469	C₂²×C₇	1	2	yes	complemented
626	#468	C₂²×C₇	1	2	yes	complemented
627	#468	C₂²×C₇	1	2	yes	complemented
628	#467	C₂²×C₇	1	2	yes	complemented
629	#466	C₂²×C₇	1	2	yes	complemented
630	#465	C₂²×C₇	1	2	yes	complemented
631	#465	C₂²×C₇	1	2	yes	complemented
632	#464	C₂²×C₇	1	2	yes	complemented
633	#464	C₂²×C₇	1	2	yes	complemented
634	#463	C₂²×C₇	1	2	yes	complemented
635	#463	C₂²×C₇	1	2	yes	complemented
636	#452	C₂²×C₇	1	2	yes	complemented
637	#452	C₂²×C₇	1	2	yes	complemented
638	#450	C₂²×C₇	1	2	yes	complemented
639	#450	C₂²×C₇	1	2	yes	complemented
640	#449	C₂²×C₇	1	2	yes	complemented
641	#449	C₂²×C₇	1	2	yes	complemented
642	#447	C₂²×C₇	1	2	yes	complemented
643	#447	C₂²×C₇	1	2	yes	complemented
644	#442	C₂²×C₇	1	2	yes	complemented
645	#440	C₂²×C₇	1	2	yes	complemented
646	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
647	C₄×D₈	C₂²×C₇	1	2	yes	complemented
648	#436	C₂²×C₇	1	2	yes	complemented
649	#435	C₂²×C₇	1	2	yes	complemented
650	#435	C₂²×C₇	1	2	yes	complemented
651	C₈×D₄	C₂²×C₇	1	2	yes	complemented
652	#428	C₂²×C₇	1	1	yes	characteristic, complemented
653	#428	C₂²×C₇	1	1	yes	characteristic, complemented
654	#428	C₂²×C₇	1	1	yes	characteristic, complemented
655	#423	C₂²×C₇	1	1	yes	characteristic, complemented
656	#419	C₂²×C₇	1	1	yes	characteristic, complemented
657	#419	C₂²×C₇	1	1	yes	characteristic, complemented
658	#419	C₂²×C₇	1	1	yes	characteristic, complemented
659	#418	C₂²×C₇	1	1	yes	characteristic
660	#418	C₂²×C₇	1	1	yes	characteristic
661	#418	C₂²×C₇	1	1	yes	characteristic
662	#418	C₂²×C₇	1	1	yes	characteristic
663	#418	C₂²×C₇	1	1	yes	characteristic
664	#418	C₂²×C₇	1	1	yes	characteristic
665	#418	C₂²×C₇	1	2	yes	complemented
666	#418	C₂²×C₇	1	2	yes	complemented
667	#417	C₂²×C₇	1	2	yes	complemented
668	#417	C₂²×C₇	1	2	yes	complemented
669	#417	C₂²×C₇	1	1	yes	characteristic, complemented
670	#416	C₂²×C₇	1	2	yes	complemented
671	#416	C₂²×C₇	1	2	yes	complemented
672	C₂×#102	C₂²×C₇	1	2	yes	complemented
673	C₂×#102	C₂²×C₇	1	2	yes	complemented
674	#407	C₂²×C₇	1	1	yes	characteristic
675	#407	C₂²×C₇	1	1	yes	characteristic, complemented
676	C₄×M₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
677	C₂³×C₇	—	2	2	no	—
678	C₂³×C₇	—	2	4	no	—
679	C₂³×C₇	—	2	2	no	—
680	C₂³×C₇	—	2	2	no	—
681	C₂³×C₇	—	2	2	no	—
682	C₂³×C₇	—	2	1	no	—
683	C₂³×C₇	—	2	2	no	—
684	C₂³×C₇	—	4	1	no	—
685	C₂³×C₇	—	4	1	no	—
686	C₂³×C₇	—	4	1	no	—
687	C₂³×C₇	—	4	4	no	—
688	C₂³×C₇	—	4	4	no	—
689	C₂³×C₇	—	4	2	no	—
690	C₂³×C₇	—	4	2	no	—
691	C₂³×C₇	—	4	2	no	—
692	C₂³×C₇	—	4	2	no	—
693	C₂³×C₇	—	4	4	no	—
694	C₂³×C₇	—	4	2	no	—
695	C₂³×C₇	—	4	4	no	—
696	C₂³×C₇	—	8	2	no	—
697	C₂³×C₇	—	8	2	no	—
698	C₂³×C₇	—	8	16	no	—
699	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
700	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
701	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
702	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
703	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
704	C₇×Q₈	—	2	1	no	—
705	C₇×Q₈	—	2	2	no	—
706	C₇×Q₈	—	2	1	no	—
707	C₇×Q₈	—	2	2	no	—
708	C₇×Q₈	—	4	2	no	—
709	C₇×Q₈	—	4	2	no	—
710	C₇×Q₈	—	8	1	no	—
711	C₇×D₄	—	2	2	no	—
712	C₇×D₄	—	2	2	no	—
713	C₇×D₄	—	2	4	no	—
714	C₇×D₄	—	2	1	no	—
715	C₇×D₄	—	2	2	no	—
716	C₇×D₄	—	2	2	no	—
717	C₇×D₄	—	2	1	no	—
718	C₇×D₄	—	2	2	no	—
719	C₇×D₄	—	4	1	no	—
720	C₇×D₄	—	4	1	no	—
721	C₇×D₄	—	4	4	no	—
722	C₇×D₄	—	4	4	no	—
723	C₇×D₄	—	4	4	no	—
724	C₇×D₄	—	4	4	no	—
725	C₇×D₄	—	4	2	no	—
726	C₇×D₄	—	4	2	no	—
727	C₇×D₄	—	4	2	no	—
728	C₇×D₄	—	4	2	no	—
729	C₇×D₄	—	8	1	no	—
730	C₇×D₄	—	8	1	no	—
731	C₇×D₄	—	8	2	no	—
732	C₇×D₄	—	8	2	no	—
733	C₇×D₄	C₂×#41	1	4	yes	—
734	C₂×C₄×C₇	—	2	2	no	—
735	C₂×C₄×C₇	—	2	2	no	—
736	C₂×C₄×C₇	—	2	2	no	—
737	C₂×C₄×C₇	—	2	2	no	—
738	C₂×C₄×C₇	—	2	2	no	—
739	C₂×C₄×C₇	—	2	2	no	—
740	C₂×C₄×C₇	—	2	1	no	—
741	C₂×C₄×C₇	—	2	1	no	—
742	C₂×C₄×C₇	—	2	1	no	—
743	C₂×C₄×C₇	—	2	1	no	—
744	C₂×C₄×C₇	—	2	1	no	—
745	C₂×C₄×C₇	—	2	1	no	—
746	C₂×C₄×C₇	—	2	1	no	—
747	C₂×C₄×C₇	—	2	1	no	—
748	C₂×C₄×C₇	—	2	1	no	—
749	C₂×C₄×C₇	—	2	1	no	—
750	C₂×C₄×C₇	—	2	1	no	—
751	C₂×C₄×C₇	—	2	1	no	—
752	C₂×C₄×C₇	—	2	1	no	—
753	C₂×C₄×C₇	—	2	1	no	—
754	C₂×C₄×C₇	—	2	1	no	—
755	C₂×C₄×C₇	—	2	2	no	—
756	C₂×C₄×C₇	—	2	2	no	—
757	C₂×C₄×C₇	—	4	1	no	—
758	C₂×C₄×C₇	—	4	1	no	—
759	C₂×C₄×C₇	—	4	4	no	—
760	C₂×C₄×C₇	—	4	4	no	—
761	C₂×C₄×C₇	—	4	2	no	—
762	C₂×C₄×C₇	—	4	2	no	—
763	C₂×C₄×C₇	—	4	2	no	—
764	C₂×C₄×C₇	—	4	2	no	—
765	C₂×C₄×C₇	—	4	2	no	—
766	C₂×C₄×C₇	—	4	2	no	—
767	C₂×C₄×C₇	—	8	1	no	—
768	C₂×C₄×C₇	—	8	2	no	—
769	C₂×C₄×C₇	—	8	2	no	—
770	C₂×C₄×C₇	—	8	1	no	—
771	C₂×C₄×C₇	—	8	1	no	—
772	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₇	C₂×#41	1	2	yes	—
782	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
783	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
784	C₇×C₈	—	2	2	no	—
785	C₇×C₈	—	2	2	no	—
786	C₇×C₈	—	2	2	no	—
787	C₇×C₈	—	2	2	no	—
788	C₂⁵	—	2	1	no	—
789	C₂×#41	—	2	1	no	—
790	C₂×#41	—	2	1	no	—
791	C₂×#41	—	2	1	no	—
792	C₂×#41	—	2	4	no	—
793	C₂×#41	—	4	2	no	—
794	C₂×#41	C₂³×C₇	1	1	yes	characteristic
795	C₂×#41	C₂³×C₇	1	2	yes	—
796	C₂×#41	C₂³×C₇	1	2	yes	—
797	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
798	C₂²×D₄	—	2	4	no	—
799	C₂²×D₄	—	2	1	no	—
800	C₂²×D₄	—	2	1	no	—
801	C₂²×D₄	—	2	1	no	—
802	C₂²×D₄	—	2	1	no	—
803	C₂²×D₄	—	2	1	no	—
804	C₂²×D₄	—	4	2	no	—
805	C₂²×D₄	C₇×D₄	1	1	yes	characteristic
806	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
807	C₂²×D₄	C₂³×C₇	1	2	yes	—
808	C₂²×D₄	C₂³×C₇	1	2	yes	—
809	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
810	C₂³×C₄	—	2	1	no	—
811	C₂³×C₄	—	2	1	no	—
812	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
813	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
814	#137	—	4	2	no	—
815	AGL(1,ℤ/8)	—	2	4	no	—
816	AGL(1,ℤ/8)	—	4	2	no	—
817	C₂×Q₁₆	C₂³×C₇	1	2	yes	complemented
818	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
819	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
820	C₂×SD₁₆	C₂³×C₇	1	2	yes	complemented
821	C₂×D₈	C₂³×C₇	1	2	yes	—
822	C₂×D₈	C₂³×C₇	1	2	yes	—
823	C₂×M₁₆	—	4	2	no	—
824	C₂×M₁₆	—	4	2	no	—
825	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
826	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
827	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
828	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
829	C₂×M₁₆	C₂³×C₇	1	2	yes	—
830	C₂×M₁₆	C₂³×C₇	1	2	yes	complemented
831	C₂²×C₈	C₂³×C₇	1	2	yes	—
832	C₂²×C₈	C₂³×C₇	1	2	yes	complemented
833	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic, complemented
834	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic, complemented
835	#126	—	2	1	no	—
836	#126	—	2	1	no	—
837	#126	—	2	1	no	—
838	#126	—	2	1	no	—
839	#126	—	2	1	no	—
840	#126	—	2	1	no	—
841	#125	—	2	1	no	—
842	#125	—	2	1	no	—
843	#125	—	2	1	no	—
844	#125	C₂³×C₇	1	1	yes	characteristic, complemented
845	#125	C₂³×C₇	1	1	yes	characteristic, complemented
846	#124	—	2	1	no	—
847	#124	—	2	1	no	—
848	#124	—	2	1	no	—
849	#124	—	2	1	no	—
850	#124	—	2	1	no	—
851	#124	C₂³×C₇	1	2	yes	—
852	#124	C₂³×C₇	1	2	yes	—
853	#123	—	2	1	no	—
854	#123	—	2	1	no	—
855	#123	—	2	1	no	—
856	#123	—	2	1	no	—
857	#123	—	2	2	no	—
858	#123	—	2	2	no	—
859	#123	—	2	2	no	—
860	#123	—	2	2	no	—
861	#123	—	2	1	no	—
862	#123	—	2	1	no	—
863	#123	—	2	1	no	—
864	#123	—	2	1	no	—
865	C₂²⋊Q₈	—	2	1	no	—
866	C₂²⋊Q₈	—	2	1	no	—
867	C₂²⋊Q₈	—	2	1	no	—
868	C₂²⋊Q₈	—	2	1	no	—
869	C₂²⋊Q₈	—	2	1	no	—
870	C₂²⋊Q₈	—	2	1	no	—
871	C₂²⋊Q₈	—	2	1	no	—
872	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
873	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
874	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
875	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
876	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic, complemented
877	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic, complemented
878	#121	—	2	1	no	—
879	#121	—	2	1	no	—
880	#121	—	2	1	no	—
881	#121	—	2	1	no	—
882	#121	—	2	1	no	—
883	#121	—	2	2	no	—
884	#121	—	2	2	no	—
885	#121	—	2	2	no	—
886	#121	—	2	2	no	—
887	#121	C₂³×C₇	1	2	yes	—
888	#121	C₂³×C₇	1	2	yes	—
889	#121	C₂³×C₇	1	1	yes	characteristic
890	#121	C₂³×C₇	1	1	yes	characteristic
891	#121	C₂³×C₇	1	1	yes	characteristic, complemented
892	#121	C₂³×C₇	1	1	yes	characteristic, complemented
893	#120	—	2	1	no	—
894	#120	—	2	1	no	—
895	#120	—	2	2	no	—
896	#120	—	2	2	no	—
897	#120	—	2	2	no	—
898	#120	—	2	2	no	—
899	C₄×Q₈	—	2	1	no	—
900	C₄×Q₈	—	2	1	no	—
901	C₄×Q₈	—	2	1	no	—
902	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic, complemented
903	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic, complemented
904	C₄×D₄	—	2	1	no	—
905	C₄×D₄	—	2	1	no	—
906	C₄×D₄	—	2	1	no	—
907	C₄×D₄	—	2	1	no	—
908	C₄×D₄	—	2	1	no	—
909	C₄×D₄	—	2	1	no	—
910	C₄×D₄	—	2	1	no	—
911	C₄×D₄	—	2	1	no	—
912	C₄×D₄	—	2	1	no	—
913	C₄×D₄	—	2	1	no	—
914	C₄×D₄	—	2	1	no	—
915	C₄×D₄	C₇×D₄	1	1	yes	characteristic
916	C₄×D₄	C₇×D₄	1	1	yes	characteristic
917	C₄×D₄	C₇×D₄	1	1	yes	characteristic
918	C₄×D₄	C₇×D₄	1	1	yes	characteristic
919	C₄×D₄	C₂³×C₇	1	2	yes	—
920	C₄×D₄	C₂³×C₇	1	2	yes	—
921	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
922	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
923	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
924	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
925	C₄×D₄	C₂³×C₇	1	1	yes	characteristic, complemented
926	C₄×D₄	C₂³×C₇	1	1	yes	characteristic, complemented
927	#117	—	2	1	no	—
928	#117	—	2	1	no	—
929	#117	—	2	1	no	—
930	#117	—	2	1	no	—
931	#117	—	2	1	no	—
932	#117	—	2	1	no	—
933	#117	—	2	1	no	—
934	#117	—	2	1	no	—
935	#117	C₂³×C₇	1	1	yes	characteristic
936	#117	C₂³×C₇	1	1	yes	characteristic
937	#117	C₂³×C₇	1	1	yes	characteristic
938	#117	C₂³×C₇	1	1	yes	characteristic
939	#117	C₂³×C₇	1	1	yes	characteristic
940	#117	C₂³×C₇	1	1	yes	characteristic, complemented
941	#117	C₂³×C₇	1	1	yes	characteristic, complemented
942	C₂×C₄⋊C₄	—	2	1	no	—
943	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic, complemented
948	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic, complemented
949	C₂×C₂²⋊C₄	—	2	1	no	—
950	C₂×C₂²⋊C₄	—	2	1	no	—
951	C₂×C₂²⋊C₄	—	2	1	no	—
952	C₂×C₂²⋊C₄	—	2	1	no	—
953	C₂×C₂²⋊C₄	—	2	1	no	—
954	C₂×C₂²⋊C₄	—	2	1	no	—
955	C₂×C₂²⋊C₄	—	2	1	no	—
956	C₂×C₂²⋊C₄	—	2	2	no	—
957	C₂×C₂²⋊C₄	—	2	2	no	—
958	C₂×C₂²⋊C₄	—	2	2	no	—
959	C₂×C₂²⋊C₄	—	2	2	no	—
960	C₂×C₂²⋊C₄	C₇×D₄	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	C₇×D₄	1	1	yes	characteristic
962	C₂×C₄²	—	2	1	no	—
963	C₂×C₄²	—	2	1	no	—
964	C₂×C₄²	—	2	1	no	—
965	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
966	#107	C₂³×C₇	1	2	yes	complemented
967	#107	C₂³×C₇	1	2	yes	complemented
968	#107	C₂³×C₇	1	2	yes	complemented
969	#106	C₂³×C₇	1	2	yes	complemented
970	#106	C₂³×C₇	1	2	yes	complemented
971	#106	C₂³×C₇	1	2	yes	complemented
972	C₄⋊C₈	C₂³×C₇	1	2	yes	complemented
973	C₄⋊C₈	C₂³×C₇	1	2	yes	complemented
974	#103	C₂³×C₇	1	2	yes	complemented
975	#103	C₂³×C₇	1	2	yes	complemented
976	#103	C₂³×C₇	1	2	yes	complemented
977	#103	C₂³×C₇	1	2	yes	complemented
978	#103	C₂³×C₇	1	2	yes	complemented
979	#103	C₂³×C₇	1	2	yes	complemented
980	#103	C₂³×C₇	1	2	yes	complemented
981	#102	C₂³×C₇	1	2	yes	—
982	#102	C₂³×C₇	1	2	yes	—
983	#102	C₂³×C₇	1	2	yes	—
984	#102	C₂³×C₇	1	2	yes	—
985	#102	C₂³×C₇	1	2	yes	—
986	#102	C₂³×C₇	1	2	yes	—
987	#102	C₂³×C₇	1	2	yes	—
988	#102	C₂³×C₇	1	2	yes	—
989	#102	C₂³×C₇	1	2	yes	—
990	#102	C₂³×C₇	1	2	yes	—
991	#102	C₂³×C₇	1	2	yes	—
992	#102	C₂³×C₇	1	2	yes	—
993	#102	C₂³×C₇	1	2	yes	complemented
994	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
995	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
996	C₂²⋊C₈	C₂³×C₇	1	2	yes	complemented
997	C₂²⋊C₈	C₂³×C₇	1	2	yes	complemented
998	#97	C₂³×C₇	1	2	yes	complemented
999	C₄×C₈	C₂³×C₇	1	2	yes	complemented
1000	C₂²×C₇	—	2	1	no	—
1001	C₂²×C₇	—	2	1	no	—
1002	C₂²×C₇	—	2	1	no	—
1003	C₂²×C₇	—	2	1	no	—
1004	C₂²×C₇	—	2	1	no	—
1005	C₂²×C₇	—	2	1	no	—
1006	C₂²×C₇	—	2	1	no	—
1007	C₂²×C₇	—	2	1	no	—
1008	C₂²×C₇	—	2	1	no	—
1009	C₂²×C₇	—	2	1	no	—
1010	C₂²×C₇	—	2	4	no	—
1011	C₂²×C₇	—	2	1	no	—
1012	C₂²×C₇	—	2	1	no	—
1013	C₂²×C₇	—	2	1	no	—
1014	C₂²×C₇	—	4	4	no	—
1015	C₂²×C₇	—	4	8	no	—
1016	C₂²×C₇	—	4	2	no	—
1017	C₂²×C₇	—	4	2	no	—
1018	C₂²×C₇	—	4	1	no	—
1019	C₂²×C₇	—	4	2	no	—
1020	C₂²×C₇	—	4	1	no	—
1021	C₂²×C₇	—	4	2	no	—
1022	C₂²×C₇	—	4	1	no	—
1023	C₂²×C₇	—	4	2	no	—
1024	C₂²×C₇	—	8	2	no	—
1025	C₂²×C₇	—	8	8	no	—
1026	C₂²×C₇	—	8	4	no	—
1027	C₂²×C₇	—	8	8	no	—
1028	C₂²×C₇	#546	1	2	yes	—
1029	C₂²×C₇	#575	1	2	yes	—
1030	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1031	C₄×C₇	—	2	1	no	—
1032	C₄×C₇	—	2	1	no	—
1033	C₄×C₇	—	2	1	no	—
1034	C₄×C₇	—	2	1	no	—
1035	C₄×C₇	—	2	1	no	—
1036	C₄×C₇	—	2	1	no	—
1037	C₄×C₇	—	2	1	no	—
1038	C₄×C₇	—	2	1	no	—
1039	C₄×C₇	—	4	2	no	—
1040	C₄×C₇	—	4	1	no	—
1041	C₄×C₇	—	4	1	no	—
1042	C₄×C₇	—	4	1	no	—
1043	C₄×C₇	—	4	2	no	—
1044	C₄×C₇	—	4	1	no	—
1045	C₄×C₇	—	4	1	no	—
1046	C₄×C₇	—	4	1	no	—
1047	C₄×C₇	—	4	1	no	—
1048	C₄×C₇	#546	1	2	yes	—
1049	C₄×C₇	C₂²×#41	1	1	yes	characteristic
1050	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1051	C₂⁴	—	2	1	no	—
1052	C₂⁴	—	2	1	no	—
1053	C₂⁴	—	2	2	no	—
1054	C₂⁴	—	2	2	no	—
1055	C₂⁴	—	4	4	no	—
1056	C₂⁴	—	4	4	no	—
1057	C₂⁴	—	8	2	no	—
1058	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
1059	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
1060	#41	—	2	4	no	—
1061	#41	—	2	4	no	—
1062	#41	—	2	2	no	—
1063	#41	—	2	2	no	—
1064	#41	—	4	2	no	—
1065	#41	—	4	2	no	—
1066	#41	—	4	4	no	—
1067	#41	—	4	4	no	—
1068	#41	—	4	4	no	—
1069	C₂×Q₈	—	2	1	no	—
1070	C₂×Q₈	—	2	1	no	—
1071	C₂×Q₈	—	2	1	no	—
1072	C₂×Q₈	—	2	2	no	—
1073	C₂×Q₈	—	2	2	no	—
1074	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1075	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1076	C₂×D₄	—	2	4	no	—
1077	C₂×D₄	—	2	4	no	—
1078	C₂×D₄	—	2	1	no	—
1079	C₂×D₄	—	2	1	no	—
1080	C₂×D₄	—	2	1	no	—
1081	C₂×D₄	—	2	2	no	—
1082	C₂×D₄	—	2	2	no	—
1083	C₂×D₄	—	2	1	no	—
1084	C₂×D₄	—	2	1	no	—
1085	C₂×D₄	—	2	2	no	—
1086	C₂×D₄	—	2	2	no	—
1087	C₂×D₄	—	2	1	no	—
1088	C₂×D₄	—	2	2	no	—
1089	C₂×D₄	—	2	2	no	—
1090	C₂×D₄	—	2	1	no	—
1091	C₂×D₄	—	2	2	no	—
1092	C₂×D₄	—	2	2	no	—
1093	C₂×D₄	—	2	2	no	—
1094	C₂×D₄	—	4	2	no	—
1095	C₂×D₄	—	4	2	no	—
1096	C₂×D₄	—	4	4	no	—
1097	C₂×D₄	—	4	4	no	—
1098	C₂×D₄	—	4	4	no	—
1099	C₂×D₄	—	4	2	no	—
1100	C₂×D₄	—	4	4	no	—
1101	C₂×D₄	—	8	2	no	—
1102	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1103	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1104	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1105	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1106	C₂×D₄	C₇×#41	1	4	yes	complemented
1107	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1108	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1109	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1110	C₂²×C₄	—	2	2	no	—
1111	C₂²×C₄	—	2	2	no	—
1112	C₂²×C₄	—	2	2	no	—
1113	C₂²×C₄	—	2	2	no	—
1114	C₂²×C₄	—	2	1	no	—
1115	C₂²×C₄	—	2	1	no	—
1116	C₂²×C₄	—	2	1	no	—
1117	C₂²×C₄	—	2	1	no	—
1118	C₂²×C₄	—	2	1	no	—
1119	C₂²×C₄	—	2	1	no	—
1120	C₂²×C₄	—	2	1	no	—
1121	C₂²×C₄	—	2	1	no	—
1122	C₂²×C₄	—	2	2	no	—
1123	C₂²×C₄	—	2	2	no	—
1124	C₂²×C₄	—	2	1	no	—
1125	C₂²×C₄	—	2	2	no	—
1126	C₂²×C₄	—	2	2	no	—
1127	C₂²×C₄	—	4	4	no	—
1128	C₂²×C₄	—	8	2	no	—
1129	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1130	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1131	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1132	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1133	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1134	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1135	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1136	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1137	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1138	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1139	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1140	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1141	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1142	Q₁₆	—	4	2	no	—
1143	SD₁₆	—	2	4	no	—
1144	SD₁₆	—	4	2	no	—
1145	SD₁₆	—	4	2	no	—
1146	D₈	—	2	4	no	—
1147	D₈	—	4	2	no	—
1148	M₁₆	—	2	2	no	—
1149	M₁₆	—	2	2	no	—
1150	M₁₆	—	2	2	no	—
1151	M₁₆	—	2	2	no	—
1152	M₁₆	—	4	2	no	—
1153	M₁₆	—	4	2	no	—
1154	C₂×C₈	—	4	2	no	—
1155	C₂×C₈	—	4	2	no	—
1156	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1157	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1158	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1159	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1160	C₄⋊C₄	—	2	2	no	—
1161	C₄⋊C₄	—	2	2	no	—
1162	C₄⋊C₄	—	2	1	no	—
1163	C₄⋊C₄	—	2	1	no	—
1164	C₄⋊C₄	—	2	1	no	—
1165	C₄⋊C₄	—	2	1	no	—
1166	C₄⋊C₄	—	2	1	no	—
1167	C₄⋊C₄	—	2	1	no	—
1168	C₄⋊C₄	—	2	1	no	—
1169	C₄⋊C₄	—	2	1	no	—
1170	C₄⋊C₄	—	2	1	no	—
1171	C₄⋊C₄	—	2	1	no	—
1172	C₄⋊C₄	—	2	1	no	—
1173	C₄⋊C₄	—	2	1	no	—
1174	C₄⋊C₄	—	2	1	no	—
1175	C₄⋊C₄	—	2	1	no	—
1176	C₄⋊C₄	—	2	1	no	—
1177	C₄⋊C₄	—	2	1	no	—
1178	C₄⋊C₄	—	2	1	no	—
1179	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1180	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1181	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1182	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1183	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1184	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1185	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1186	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1187	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1188	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1189	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1190	C₂²⋊C₄	—	2	2	no	—
1191	C₂²⋊C₄	—	2	2	no	—
1192	C₂²⋊C₄	—	2	1	no	—
1193	C₂²⋊C₄	—	2	1	no	—
1194	C₂²⋊C₄	—	2	1	no	—
1195	C₂²⋊C₄	—	2	1	no	—
1196	C₂²⋊C₄	—	2	1	no	—
1197	C₂²⋊C₄	—	2	1	no	—
1198	C₂²⋊C₄	—	2	1	no	—
1199	C₂²⋊C₄	—	2	1	no	—
1200	C₂²⋊C₄	—	2	1	no	—
1201	C₂²⋊C₄	—	2	1	no	—
1202	C₂²⋊C₄	—	2	1	no	—
1203	C₂²⋊C₄	—	2	2	no	—
1204	C₂²⋊C₄	—	2	2	no	—
1205	C₂²⋊C₄	—	2	2	no	—
1206	C₂²⋊C₄	—	2	2	no	—
1207	C₂²⋊C₄	—	2	2	no	—
1208	C₂²⋊C₄	—	2	2	no	—
1209	C₂²⋊C₄	—	2	2	no	—
1210	C₂²⋊C₄	—	2	2	no	—
1211	C₂²⋊C₄	—	2	1	no	—
1212	C₂²⋊C₄	—	2	1	no	—
1213	C₂²⋊C₄	—	2	1	no	—
1214	C₂²⋊C₄	—	2	1	no	—
1215	C₂²⋊C₄	—	2	1	no	—
1216	C₂²⋊C₄	—	2	1	no	—
1217	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1218	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1219	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1220	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1221	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1222	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1223	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1224	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1225	C₄²	—	2	1	no	—
1226	C₄²	—	2	1	no	—
1227	C₄²	—	2	1	no	—
1228	C₄²	—	2	1	no	—
1229	C₄²	—	2	1	no	—
1230	C₄²	—	2	1	no	—
1231	C₄²	—	2	1	no	—
1232	C₄²	—	2	1	no	—
1233	C₄²	—	2	1	no	—
1234	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1235	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1236	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1237	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1238	C₂×C₇	—	2	2	no	—
1239	C₂×C₇	—	2	2	no	—
1240	C₂×C₇	—	4	1	no	—
1241	C₂×C₇	—	4	1	no	—
1242	C₂×C₇	—	4	1	no	—
1243	C₂×C₇	—	4	4	no	—
1244	C₂×C₇	—	8	1	no	—
1245	C₂×C₇	—	8	2	no	—
1246	C₂×C₇	C₂×#546	1	1	yes	characteristic
1247	C₂×C₇	C₂×#575	1	1	yes	characteristic
1248	C₂×C₇	#3585	1	1	yes	characteristic
1249	C₂³	—	2	2	no	—
1250	C₂³	—	2	2	no	—
1251	C₂³	—	2	4	no	—
1252	C₂³	—	2	2	no	—
1253	C₂³	—	2	2	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	2	no	—
1256	C₂³	—	4	1	no	—
1257	C₂³	—	4	1	no	—
1258	C₂³	—	4	1	no	—
1259	C₂³	—	4	4	no	—
1260	C₂³	—	4	4	no	—
1261	C₂³	—	4	2	no	—
1262	C₂³	—	4	2	no	—
1263	C₂³	—	4	2	no	—
1264	C₂³	—	4	2	no	—
1265	C₂³	—	4	4	no	—
1266	C₂³	—	4	2	no	—
1267	C₂³	—	4	4	no	—
1268	C₂³	—	8	2	no	—
1269	C₂³	—	8	2	no	—
1270	C₂³	—	8	16	no	—
1271	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1272	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1273	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1274	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1275	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1276	Q₈	—	2	1	no	—
1277	Q₈	—	2	2	no	—
1278	Q₈	—	2	1	no	—
1279	Q₈	—	2	2	no	—
1280	Q₈	—	4	2	no	—
1281	Q₈	—	4	2	no	—
1282	Q₈	—	8	1	no	—
1283	D₄	—	2	2	no	—
1284	D₄	—	2	2	no	—
1285	D₄	—	2	1	no	—
1286	D₄	—	2	2	no	—
1287	D₄	—	2	2	no	—
1288	D₄	—	2	1	no	—
1289	D₄	—	2	2	no	—
1290	D₄	—	2	4	no	—
1291	D₄	—	4	1	no	—
1292	D₄	—	4	1	no	—
1293	D₄	—	4	4	no	—
1294	D₄	—	4	4	no	—
1295	D₄	—	4	4	no	—
1296	D₄	—	4	4	no	—
1297	D₄	—	4	2	no	—
1298	D₄	—	4	2	no	—
1299	D₄	—	4	2	no	—
1300	D₄	—	4	2	no	—
1301	D₄	—	8	1	no	—
1302	D₄	—	8	1	no	—
1303	D₄	—	8	2	no	—
1304	D₄	—	8	2	no	—
1305	D₄	C₂×C₇×#41	1	4	yes	—
1306	C₂×C₄	—	2	2	no	—
1307	C₂×C₄	—	2	2	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	2	no	—
1317	C₂×C₄	—	2	2	no	—
1318	C₂×C₄	—	2	2	no	—
1319	C₂×C₄	—	2	2	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	2	no	—
1328	C₂×C₄	—	2	2	no	—
1329	C₂×C₄	—	4	1	no	—
1330	C₂×C₄	—	4	1	no	—
1331	C₂×C₄	—	4	4	no	—
1332	C₂×C₄	—	4	4	no	—
1333	C₂×C₄	—	4	2	no	—
1334	C₂×C₄	—	4	2	no	—
1335	C₂×C₄	—	4	2	no	—
1336	C₂×C₄	—	4	2	no	—
1337	C₂×C₄	—	4	2	no	—
1338	C₂×C₄	—	4	2	no	—
1339	C₂×C₄	—	8	1	no	—
1340	C₂×C₄	—	8	2	no	—
1341	C₂×C₄	—	8	2	no	—
1342	C₂×C₄	—	8	1	no	—
1343	C₂×C₄	—	8	1	no	—
1344	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1345	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1346	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1347	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1348	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1349	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1350	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1351	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1352	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1353	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1354	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1355	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1356	C₈	—	2	2	no	—
1357	C₈	—	2	2	no	—
1358	C₈	—	2	2	no	—
1359	C₈	—	2	2	no	—
1360	C₇	#61156	1	1	yes	characteristic, direct product factor, Sylow
1361	C₂²	—	2	1	no	—
1362	C₂²	—	2	1	no	—
1363	C₂²	—	2	1	no	—
1364	C₂²	—	2	1	no	—
1365	C₂²	—	2	1	no	—
1366	C₂²	—	2	1	no	—
1367	C₂²	—	2	1	no	—
1368	C₂²	—	2	1	no	—
1369	C₂²	—	2	1	no	—
1370	C₂²	—	2	1	no	—
1371	C₂²	—	2	1	no	—
1372	C₂²	—	2	1	no	—
1373	C₂²	—	2	1	no	—
1374	C₂²	—	2	4	no	—
1375	C₂²	—	4	4	no	—
1376	C₂²	—	4	8	no	—
1377	C₂²	—	4	2	no	—
1378	C₂²	—	4	2	no	—
1379	C₂²	—	4	1	no	—
1380	C₂²	—	4	2	no	—
1381	C₂²	—	4	1	no	—
1382	C₂²	—	4	2	no	—
1383	C₂²	—	4	1	no	—
1384	C₂²	—	4	2	no	—
1385	C₂²	—	8	2	no	—
1386	C₂²	—	8	8	no	—
1387	C₂²	—	8	4	no	—
1388	C₂²	—	8	8	no	—
1389	C₂²	C₇×#546	1	2	yes	—
1390	C₂²	C₇×#575	1	2	yes	—
1391	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1392	C₄	—	2	1	no	—
1393	C₄	—	2	1	no	—
1394	C₄	—	2	1	no	—
1395	C₄	—	2	1	no	—
1396	C₄	—	2	1	no	—
1397	C₄	—	2	1	no	—
1398	C₄	—	2	1	no	—
1399	C₄	—	2	1	no	—
1400	C₄	—	4	1	no	—
1401	C₄	—	4	1	no	—
1402	C₄	—	4	1	no	—
1403	C₄	—	4	2	no	—
1404	C₄	—	4	1	no	—
1405	C₄	—	4	1	no	—
1406	C₄	—	4	1	no	—
1407	C₄	—	4	2	no	—
1408	C₄	—	4	1	no	—
1409	C₄	C₇×#546	1	2	yes	—
1410	C₄	C₂²×C₇×#41	1	1	yes	characteristic
1411	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1412	C₂	—	2	2	no	—
1413	C₂	—	2	2	no	—
1414	C₂	—	4	1	no	—
1415	C₂	—	4	1	no	—
1416	C₂	—	4	1	no	—
1417	C₂	—	4	4	no	—
1418	C₂	—	8	2	no	—
1419	C₂	—	8	1	no	—
1420	C₂	C₂×C₇×#546	1	1	yes	characteristic
1421	C₂	C₂×C₇×#575	1	1	yes	characteristic
1422	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 ◁ C₂×C₄×C₇×D₄ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3475	C₂	semidirect
2. C₂×C₇×#546	C₂	semidirect
3. C₇×#3323	C₂	semidirect
4. C₇×#3322	C₂	semidirect
5. C₇×#3319	C₂	semidirect
6. C₇×#3314	C₂	semidirect
7. C₇×#3311	C₂	semidirect
8. C₇×#3306	C₂	semidirect
9. C₇×#3297	C₂	semidirect
10. C₇×#3296	C₂	semidirect
11. C₇×#3140	C₂	semidirect
12. C₇×#3095	C₂	semidirect
13. C₇×#3094	C₂	semidirect
14. C₇×#3077	C₂	semidirect
15. C₇×#3056	C₂	semidirect
16. C₇×#3055	C₂	semidirect
17. C₇×#3040	C₂	semidirect
18. C₇×#3005	C₂	semidirect
19. C₇×#3003	C₂	semidirect
20. C₄×C₇×AGL(1,ℤ/8)	C₂	semidirect
21. C₇×D₄×M₁₆	C₂	semidirect
22. C₇×#2896	C₂	semidirect
23. C₂×C₇×#418	C₂	semidirect
26. C₂×C₇×#137	C₂²	semidirect
30. C₂²×C₇×M₁₆	C₂²	semidirect
31. C₇×#556	C₂²	semidirect
32. C₇×#555	C₂²	semidirect
33. C₇×#554	C₂²	semidirect
34. C₇×#553	C₂²	semidirect
35. C₇×#553	C₂²	semidirect
37. C₇×#552	C₂²	semidirect
38. C₇×#552	C₂²	semidirect
41. C₇×#547	C₂²	semidirect
51. C₇×#533	C₂²	semidirect
57. C₇×#525	C₂²	semidirect
64. C₄×C₇×#41	C₂²	semidirect
68. C₂×C₇×#117	C₂²	semidirect
70. C₇×#489	C₂²	semidirect
71. C₇×#489	C₂²	semidirect
72. C₇×#488	C₂²	semidirect
73. C₇×#488	C₂²	semidirect
74. C₇×#485	C₂²	semidirect
75. C₇×#485	C₂²	semidirect
76. C₇×#484	C₂²	semidirect
77. C₇×#483	C₂²	semidirect
78. C₇×#482	C₂²	semidirect
79. C₇×#482	C₂²	semidirect
80. C₇×#481	C₂²	semidirect
81. C₇×#480	C₂²	semidirect
82. C₇×#478	C₂²	semidirect
83. C₇×#478	C₂²	semidirect
84. C₇×#476	C₂²	semidirect
85. C₇×#474	C₂²	semidirect
86. C₇×#470	C₂²	semidirect
87. C₇×#469	C₂²	semidirect
88. C₇×#468	C₂²	semidirect
89. C₇×#468	C₂²	semidirect
90. C₇×#467	C₂²	semidirect
91. C₇×#466	C₂²	semidirect
92. C₇×#465	C₂²	semidirect
93. C₇×#465	C₂²	semidirect
94. C₇×#464	C₂²	semidirect
95. C₇×#464	C₂²	semidirect
96. C₇×#463	C₂²	semidirect
97. C₇×#463	C₂²	semidirect
98. C₇×#452	C₂²	semidirect
99. C₇×#452	C₂²	semidirect
100. C₇×#450	C₂²	semidirect
101. C₇×#450	C₂²	semidirect
102. C₇×#449	C₂²	semidirect
103. C₇×#449	C₂²	semidirect
104. C₇×#447	C₂²	semidirect
105. C₇×#447	C₂²	semidirect
106. C₇×#442	C₂²	semidirect
107. C₇×#440	C₂²	semidirect
108. C₄×C₇×SD₁₆	C₂²	semidirect
109. C₄×C₇×D₈	C₂²	semidirect
110. C₇×#436	C₂²	semidirect
111. C₇×#435	C₂²	semidirect
112. C₇×#435	C₂²	semidirect
113. C₇×C₈×D₄	C₂²	semidirect
114. C₇×#428	C₂²	semidirect
115. C₇×#428	C₂²	semidirect
116. C₇×#428	C₂²	semidirect
117. C₇×#423	C₂²	semidirect
118. C₇×#419	C₂²	semidirect
119. C₇×#419	C₂²	semidirect
120. C₇×#419	C₂²	semidirect
127. C₇×#418	C₂²	semidirect
128. C₇×#418	C₂²	semidirect
129. C₇×#417	C₂²	semidirect
130. C₇×#417	C₂²	semidirect
131. C₇×#417	C₂²	semidirect
132. C₇×#416	C₂²	semidirect
133. C₇×#416	C₂²	semidirect
134. C₂×C₇×#102	C₂²	semidirect
135. C₂×C₇×#102	C₂²	semidirect
137. C₇×#407	C₂²	semidirect
138. C₄×C₇×M₁₆	C₂²	semidirect
139. #61156	C₇	direct (N × H)
169. C₂×C₇×Q₁₆	C₂³	semidirect
172. C₂×C₇×SD₁₆	C₂³	semidirect
182. C₂×C₇×M₁₆	C₂³	semidirect
184. C₂²×C₇×C₈	C₂³	semidirect
185. C₇×C₄⋊Q₈	C₂³	semidirect
186. C₇×C₄⋊Q₈	C₂³	semidirect
196. C₇×#125	C₂³	semidirect
197. C₇×#125	C₂³	semidirect
228. C₇×C₂²⋊Q₈	C₂³	semidirect
229. C₇×C₂²⋊Q₈	C₂³	semidirect
243. C₇×#121	C₂³	semidirect
244. C₇×#121	C₂³	semidirect
254. C₄×C₇×Q₈	C₂³	semidirect
255. C₄×C₇×Q₈	C₂³	semidirect
277. C₄×C₇×D₄	C₂³	semidirect
278. C₄×C₇×D₄	C₂³	semidirect
292. C₇×#117	C₂³	semidirect
293. C₇×#117	C₂³	semidirect
299. C₂×C₇×C₄⋊C₄	C₂³	semidirect
300. C₂×C₇×C₄⋊C₄	C₂³	semidirect
318. C₇×#107	C₂³	semidirect
319. C₇×#107	C₂³	semidirect
320. C₇×#107	C₂³	semidirect
321. C₇×#106	C₂³	semidirect
322. C₇×#106	C₂³	semidirect
323. C₇×#106	C₂³	semidirect
324. C₇×C₄⋊C₈	C₂³	semidirect
325. C₇×C₄⋊C₈	C₂³	semidirect
326. C₇×#103	C₂³	semidirect
327. C₇×#103	C₂³	semidirect
328. C₇×#103	C₂³	semidirect
329. C₇×#103	C₂³	semidirect
330. C₇×#103	C₂³	semidirect
331. C₇×#103	C₂³	semidirect
332. C₇×#103	C₂³	semidirect
345. C₇×#102	C₂³	semidirect
348. C₇×C₂²⋊C₈	C₂³	semidirect
349. C₇×C₂²⋊C₈	C₂³	semidirect
350. C₇×#97	C₂³	semidirect
351. C₄×C₇×C₈	C₂³	semidirect
352. #3475	C₂×C₇	semidirect
353. C₂×#546	C₂×C₇	semidirect
354. #3323	C₂×C₇	semidirect
355. #3322	C₂×C₇	semidirect
356. #3319	C₂×C₇	semidirect
357. #3314	C₂×C₇	semidirect
358. #3311	C₂×C₇	semidirect
359. #3306	C₂×C₇	semidirect
360. #3297	C₂×C₇	semidirect
361. #3296	C₂×C₇	semidirect
362. #3140	C₂×C₇	semidirect
363. #3095	C₂×C₇	semidirect
364. #3094	C₂×C₇	semidirect
365. #3077	C₂×C₇	semidirect
366. #3056	C₂×C₇	semidirect
367. #3055	C₂×C₇	semidirect
368. #3040	C₂×C₇	semidirect
369. #3005	C₂×C₇	semidirect
370. #3003	C₂×C₇	semidirect
371. C₄×AGL(1,ℤ/8)	C₂×C₇	semidirect
372. D₄×M₁₆	C₂×C₇	semidirect
373. #2896	C₂×C₇	semidirect
374. C₂×#418	C₂×C₇	semidirect
430. C₂×C₇×D₄	#41	semidirect
564. C₂×#137	C₂²×C₇	semidirect
568. C₂²×M₁₆	C₂²×C₇	semidirect
569. #556	C₂²×C₇	semidirect
570. #555	C₂²×C₇	semidirect
571. #554	C₂²×C₇	semidirect
572. #553	C₂²×C₇	semidirect
573. #553	C₂²×C₇	semidirect
575. #552	C₂²×C₇	semidirect
576. #552	C₂²×C₇	semidirect
579. #547	C₂²×C₇	semidirect
589. #533	C₂²×C₇	semidirect
595. #525	C₂²×C₇	semidirect
602. C₄×#41	C₂²×C₇	semidirect
606. C₂×#117	C₂²×C₇	semidirect
608. #489	C₂²×C₇	semidirect
609. #489	C₂²×C₇	semidirect
610. #488	C₂²×C₇	semidirect
611. #488	C₂²×C₇	semidirect
612. #485	C₂²×C₇	semidirect
613. #485	C₂²×C₇	semidirect
614. #484	C₂²×C₇	semidirect
615. #483	C₂²×C₇	semidirect
616. #482	C₂²×C₇	semidirect
617. #482	C₂²×C₇	semidirect
618. #481	C₂²×C₇	semidirect
619. #480	C₂²×C₇	semidirect
620. #478	C₂²×C₇	semidirect
621. #478	C₂²×C₇	semidirect
622. #476	C₂²×C₇	semidirect
623. #474	C₂²×C₇	semidirect
624. #470	C₂²×C₇	semidirect
625. #469	C₂²×C₇	semidirect
626. #468	C₂²×C₇	semidirect
627. #468	C₂²×C₇	semidirect
628. #467	C₂²×C₇	semidirect
629. #466	C₂²×C₇	semidirect
630. #465	C₂²×C₇	semidirect
631. #465	C₂²×C₇	semidirect
632. #464	C₂²×C₇	semidirect
633. #464	C₂²×C₇	semidirect
634. #463	C₂²×C₇	semidirect
635. #463	C₂²×C₇	semidirect
636. #452	C₂²×C₇	semidirect
637. #452	C₂²×C₇	semidirect
638. #450	C₂²×C₇	semidirect
639. #450	C₂²×C₇	semidirect
640. #449	C₂²×C₇	semidirect
641. #449	C₂²×C₇	semidirect
642. #447	C₂²×C₇	semidirect
643. #447	C₂²×C₇	semidirect
644. #442	C₂²×C₇	semidirect
645. #440	C₂²×C₇	semidirect
646. C₄×SD₁₆	C₂²×C₇	semidirect
647. C₄×D₈	C₂²×C₇	semidirect
648. #436	C₂²×C₇	semidirect
649. #435	C₂²×C₇	semidirect
650. #435	C₂²×C₇	semidirect
651. C₈×D₄	C₂²×C₇	semidirect
652. #428	C₂²×C₇	semidirect
653. #428	C₂²×C₇	semidirect
654. #428	C₂²×C₇	semidirect
655. #423	C₂²×C₇	semidirect
656. #419	C₂²×C₇	semidirect
657. #419	C₂²×C₇	semidirect
658. #419	C₂²×C₇	semidirect
665. #418	C₂²×C₇	semidirect
666. #418	C₂²×C₇	semidirect
667. #417	C₂²×C₇	semidirect
668. #417	C₂²×C₇	semidirect
669. #417	C₂²×C₇	semidirect
670. #416	C₂²×C₇	semidirect
671. #416	C₂²×C₇	semidirect
672. C₂×#102	C₂²×C₇	semidirect
673. C₂×#102	C₂²×C₇	semidirect
675. #407	C₂²×C₇	semidirect
676. C₄×M₁₆	C₂²×C₇	semidirect
817. C₂×Q₁₆	C₂³×C₇	semidirect
820. C₂×SD₁₆	C₂³×C₇	semidirect
830. C₂×M₁₆	C₂³×C₇	semidirect
832. C₂²×C₈	C₂³×C₇	semidirect
833. C₄⋊Q₈	C₂³×C₇	semidirect
834. C₄⋊Q₈	C₂³×C₇	semidirect
844. #125	C₂³×C₇	semidirect
845. #125	C₂³×C₇	semidirect
876. C₂²⋊Q₈	C₂³×C₇	semidirect
877. C₂²⋊Q₈	C₂³×C₇	semidirect
891. #121	C₂³×C₇	semidirect
892. #121	C₂³×C₇	semidirect
902. C₄×Q₈	C₂³×C₇	semidirect
903. C₄×Q₈	C₂³×C₇	semidirect
925. C₄×D₄	C₂³×C₇	semidirect
926. C₄×D₄	C₂³×C₇	semidirect
940. #117	C₂³×C₇	semidirect
941. #117	C₂³×C₇	semidirect
947. C₂×C₄⋊C₄	C₂³×C₇	semidirect
948. C₂×C₄⋊C₄	C₂³×C₇	semidirect
966. #107	C₂³×C₇	semidirect
967. #107	C₂³×C₇	semidirect
968. #107	C₂³×C₇	semidirect
969. #106	C₂³×C₇	semidirect
970. #106	C₂³×C₇	semidirect
971. #106	C₂³×C₇	semidirect
972. C₄⋊C₈	C₂³×C₇	semidirect
973. C₄⋊C₈	C₂³×C₇	semidirect
974. #103	C₂³×C₇	semidirect
975. #103	C₂³×C₇	semidirect
976. #103	C₂³×C₇	semidirect
977. #103	C₂³×C₇	semidirect
978. #103	C₂³×C₇	semidirect
979. #103	C₂³×C₇	semidirect
980. #103	C₂³×C₇	semidirect
993. #102	C₂³×C₇	semidirect
996. C₂²⋊C₈	C₂³×C₇	semidirect
997. C₂²⋊C₈	C₂³×C₇	semidirect
998. #97	C₂³×C₇	semidirect
999. C₄×C₈	C₂³×C₇	semidirect
1106. C₂×D₄	C₇×#41	semidirect
1360. C₇	#61156	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×#3475	2
C₂×C₇×#546	2
C₇×#3323	2
C₇×#3322	2
C₇×#3319	2
C₇×#3314	2
C₇×#3311	2
C₇×#3306	2
C₇×#3297	2
C₇×#3296	2
C₇×#3140	2
C₇×#3095	2
C₇×#3094	2
C₇×#3077	2
C₇×#3056	2
C₇×#3055	2
C₇×#3040	2
C₇×#3005	2
C₇×#3003	2
C₄×C₇×AGL(1,ℤ/8)	2
C₇×D₄×M₁₆	2
C₇×#2896	2
C₂×C₇×#418	2
#61156	7

Subgroups — C7×#61156 #13238372

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61156 #13238372