Subgroups — C₇×#61141 #13238357

Order 1792.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 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	C₇×D₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3321	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3320	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3319	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3318	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3317	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3316	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3315	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3314	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3313	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3312	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3311	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3310	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3309	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3308	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3307	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3306	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3135	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3091	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3091	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3076	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#3054	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#3050	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#3035	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#3002	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#3002	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#2943	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×C₇×#435	C₂	1	1	yes	maximal, characteristic, complemented
30	C₇×#2896	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₇×#416	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
33	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
34	C₂×C₇×#135	C₂²	1	1	yes	characteristic
35	C₂×C₇×#135	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₇×#135	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
38	C₂³×C₇×C₈	C₂²	1	1	yes	characteristic, complemented
39	C₇×#556	C₂²	1	1	yes	characteristic, complemented
40	C₇×#555	C₂²	1	1	yes	characteristic, complemented
41	C₇×#554	C₂²	1	1	yes	characteristic, complemented
42	C₇×#553	C₂²	1	1	yes	characteristic
43	C₇×#553	C₂²	1	1	yes	characteristic, complemented
44	C₇×#552	—	2	1	no	—
45	C₇×#552	C₂²	1	1	yes	characteristic
46	C₇×#552	C₂²	1	1	yes	characteristic, complemented
47	C₇×#551	—	2	1	no	—
48	C₇×#551	—	2	1	no	—
49	C₇×#550	C₂²	1	1	yes	characteristic
50	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic
51	C₇×#548	C₂²	1	1	yes	characteristic
52	C₇×#548	C₂²	1	1	yes	characteristic
53	C₇×#547	—	2	1	no	—
54	C₇×#547	C₂²	1	1	yes	characteristic
55	C₇×#547	C₂²	1	1	yes	characteristic, complemented
56	C₇×#546	—	2	1	no	—
57	C₇×#546	—	2	1	no	—
58	C₇×#546	—	2	1	no	—
59	C₇×#546	C₂²	1	1	yes	characteristic
60	C₇×#546	C₂²	1	1	yes	characteristic
61	C₇×D₄²	—	2	1	no	—
62	C₇×D₄²	C₂²	1	1	yes	characteristic
63	C₇×#533	C₂²	1	1	yes	characteristic, complemented
64	C₇×#532	—	2	1	no	—
65	C₇×#532	C₂²	1	1	yes	characteristic
66	C₇×#529	—	2	1	no	—
67	C₇×#529	—	2	1	no	—
68	C₇×#529	—	2	1	no	—
69	C₇×#525	—	2	1	no	—
70	C₇×#525	—	2	1	no	—
71	C₇×#525	C₂²	1	1	yes	characteristic
72	C₇×#525	C₂²	1	1	yes	characteristic
73	C₇×#525	C₂²	1	1	yes	characteristic, complemented
74	C₇×#525	C₂²	1	1	yes	characteristic, complemented
75	C₄×C₇×#41	—	2	1	no	—
76	C₄×C₇×#41	C₂²	1	1	yes	characteristic
77	C₄×C₇×#41	C₂²	1	1	yes	characteristic, complemented
78	C₂×C₄×C₇×D₄	—	2	1	no	—
79	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
80	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
82	C₇×#491	C₂²	1	1	yes	characteristic, complemented
83	C₇×#491	C₂²	1	1	yes	characteristic, complemented
84	C₇×#490	C₂²	1	1	yes	characteristic, complemented
85	C₇×#490	C₂²	1	1	yes	characteristic, complemented
86	C₇×#489	C₂²	1	1	yes	characteristic, complemented
87	C₇×#489	C₂²	1	1	yes	characteristic, complemented
88	C₇×#489	C₂²	1	1	yes	characteristic, complemented
89	C₇×#489	C₂²	1	1	yes	characteristic, complemented
90	C₇×#485	C₂²	1	1	yes	characteristic, complemented
91	C₇×#485	C₂²	1	1	yes	characteristic, complemented
92	C₇×#485	C₂²	1	1	yes	characteristic, complemented
93	C₇×#485	C₂²	1	1	yes	characteristic, complemented
94	C₇×#484	C₂²	1	1	yes	characteristic, complemented
95	C₇×#484	C₂²	1	1	yes	characteristic, complemented
96	C₇×#483	C₂²	1	1	yes	characteristic, complemented
97	C₇×#483	C₂²	1	1	yes	characteristic, complemented
98	C₇×#482	C₂²	1	1	yes	characteristic, complemented
99	C₇×#482	C₂²	1	1	yes	characteristic, complemented
100	C₇×#482	C₂²	1	1	yes	characteristic, complemented
101	C₇×#482	C₂²	1	1	yes	characteristic, complemented
102	C₇×#481	C₂²	1	1	yes	characteristic, complemented
103	C₇×#481	C₂²	1	1	yes	characteristic, complemented
104	C₇×#480	C₂²	1	1	yes	characteristic, complemented
105	C₇×#480	C₂²	1	1	yes	characteristic, complemented
106	C₇×#479	C₂²	1	1	yes	characteristic, complemented
107	C₇×#479	C₂²	1	1	yes	characteristic, complemented
108	C₇×#478	C₂²	1	1	yes	characteristic, complemented
109	C₇×#478	C₂²	1	1	yes	characteristic, complemented
110	C₇×#477	C₂²	1	1	yes	characteristic, complemented
111	C₇×#476	C₂²	1	1	yes	characteristic, complemented
112	C₇×#475	C₂²	1	1	yes	characteristic, complemented
113	C₇×#474	C₂²	1	1	yes	characteristic, complemented
114	C₇×#470	C₂²	1	1	yes	characteristic, complemented
115	C₇×#470	C₂²	1	1	yes	characteristic, complemented
116	C₇×#469	C₂²	1	1	yes	characteristic, complemented
117	C₇×#469	C₂²	1	1	yes	characteristic, complemented
118	C₇×#468	C₂²	1	1	yes	characteristic, complemented
119	C₇×#468	C₂²	1	1	yes	characteristic, complemented
120	C₇×#468	C₂²	1	1	yes	characteristic, complemented
121	C₇×#468	C₂²	1	1	yes	characteristic, complemented
122	C₇×#467	C₂²	1	1	yes	characteristic, complemented
123	C₇×#467	C₂²	1	1	yes	characteristic, complemented
124	C₇×#466	C₂²	1	1	yes	characteristic, complemented
125	C₇×#466	C₂²	1	1	yes	characteristic, complemented
126	C₇×#465	C₂²	1	1	yes	characteristic, complemented
127	C₇×#465	C₂²	1	1	yes	characteristic, complemented
128	C₇×#465	C₂²	1	1	yes	characteristic, complemented
129	C₇×#465	C₂²	1	1	yes	characteristic, complemented
130	C₇×#464	C₂²	1	1	yes	characteristic, complemented
131	C₇×#464	C₂²	1	1	yes	characteristic, complemented
132	C₇×#463	C₂²	1	1	yes	characteristic, complemented
133	C₇×#463	C₂²	1	1	yes	characteristic, complemented
134	C₇×#462	C₂²	1	1	yes	characteristic, complemented
135	C₇×#461	C₂²	1	1	yes	characteristic, complemented
136	C₇×#460	C₂²	1	1	yes	characteristic, complemented
137	C₇×#459	C₂²	1	1	yes	characteristic, complemented
138	C₇×#452	C₂²	1	1	yes	characteristic, complemented
139	C₇×#452	C₂²	1	1	yes	characteristic, complemented
140	C₇×#452	C₂²	1	1	yes	characteristic, complemented
141	C₇×#452	C₂²	1	1	yes	characteristic, complemented
142	C₇×#451	C₂²	1	1	yes	characteristic, complemented
143	C₇×#451	C₂²	1	1	yes	characteristic, complemented
144	C₇×#450	C₂²	1	1	yes	characteristic, complemented
145	C₇×#450	C₂²	1	1	yes	characteristic, complemented
146	C₇×#449	C₂²	1	1	yes	characteristic, complemented
147	C₇×#449	C₂²	1	1	yes	characteristic, complemented
148	C₇×#449	C₂²	1	1	yes	characteristic, complemented
149	C₇×#449	C₂²	1	1	yes	characteristic, complemented
150	C₇×#448	C₂²	1	1	yes	characteristic, complemented
151	C₇×#448	C₂²	1	1	yes	characteristic, complemented
152	C₇×#447	C₂²	1	1	yes	characteristic, complemented
153	C₇×#447	C₂²	1	1	yes	characteristic, complemented
154	C₇×#442	C₂²	1	1	yes	characteristic, complemented
155	C₇×#442	C₂²	1	1	yes	characteristic, complemented
156	C₇×#441	C₂²	1	1	yes	characteristic, complemented
157	C₇×#441	C₂²	1	1	yes	characteristic, complemented
158	C₇×#440	C₂²	1	1	yes	characteristic, complemented
159	C₇×#440	C₂²	1	1	yes	characteristic, complemented
160	C₇×#440	C₂²	1	1	yes	characteristic, complemented
161	C₇×#440	C₂²	1	1	yes	characteristic, complemented
162	C₇×#435	C₂²	1	1	yes	characteristic
163	C₇×#435	C₂²	1	1	yes	characteristic
164	C₇×#435	C₂²	1	1	yes	characteristic, complemented
165	C₇×#435	C₂²	1	1	yes	characteristic, complemented
166	C₇×#435	C₂²	1	1	yes	characteristic, complemented
167	C₇×#435	C₂²	1	1	yes	characteristic, complemented
168	C₇×#435	C₂²	1	1	yes	characteristic, complemented
169	C₇×#435	C₂²	1	1	yes	characteristic, complemented
170	C₇×#427	C₂²	1	1	yes	characteristic, complemented
171	C₇×#427	C₂²	1	1	yes	characteristic, complemented
172	C₇×#427	C₂²	1	1	yes	characteristic, complemented
173	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
174	C₇×#419	C₂²	1	1	yes	characteristic, complemented
175	C₇×#419	C₂²	1	1	yes	characteristic, complemented
176	C₇×#418	C₂²	1	1	yes	characteristic, complemented
177	C₇×#418	C₂²	1	1	yes	characteristic, complemented
178	C₇×#417	C₂²	1	1	yes	characteristic, complemented
179	C₇×#417	C₂²	1	1	yes	characteristic, complemented
180	C₇×#417	C₂²	1	1	yes	characteristic, complemented
181	C₇×#417	C₂²	1	1	yes	characteristic, complemented
182	C₇×#416	C₂²	1	1	yes	characteristic
183	C₇×#416	C₂²	1	1	yes	characteristic
184	C₇×#416	C₂²	1	1	yes	characteristic
185	C₇×#416	C₂²	1	1	yes	characteristic, complemented
186	C₇×#416	C₂²	1	1	yes	characteristic, complemented
187	C₇×#416	C₂²	1	1	yes	characteristic, complemented
188	C₇×#416	C₂²	1	1	yes	characteristic, complemented
189	C₇×#416	C₂²	1	1	yes	characteristic, complemented
190	C₇×#416	C₂²	1	1	yes	characteristic, complemented
191	C₇×#416	C₂²	1	1	yes	characteristic, complemented
192	C₇×#416	C₂²	1	1	yes	characteristic, complemented
193	C₇×#416	C₂²	1	1	yes	characteristic, complemented
194	C₇×#416	C₂²	1	1	yes	characteristic, complemented
195	C₇×#416	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₇×#103	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₇×#103	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₇×#102	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₇×#102	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₇×#97	C₂²	1	1	yes	characteristic, complemented
203	#61141	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
204	C₂×C₇×#41	—	2	1	no	—
205	C₂×C₇×#41	—	2	1	no	—
206	C₂×C₇×#41	—	2	1	no	—
207	C₂×C₇×#41	—	2	1	no	—
208	C₂×C₇×#41	—	2	1	no	—
209	C₂×C₇×#41	—	2	4	no	—
210	C₂×C₇×#41	—	2	4	no	—
211	C₂×C₇×#41	—	4	2	no	—
212	C₂×C₇×#41	—	4	2	no	—
213	C₂×C₇×#41	C₂³	1	1	yes	characteristic
214	C₂×C₇×#41	C₂³	1	1	yes	characteristic
215	C₂×C₇×#41	C₂³	1	1	yes	characteristic
216	C₂×C₇×#41	C₂³	1	1	yes	characteristic
217	C₂×C₇×#41	C₂³	1	1	yes	characteristic
218	C₂×C₇×#41	C₂³	1	1	yes	characteristic
219	C₂×C₇×#41	C₂³	1	1	yes	characteristic
220	C₂×C₇×#41	C₂³	1	1	yes	characteristic
221	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
222	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
223	C₂²×C₇×D₄	—	2	1	no	—
224	C₂²×C₇×D₄	—	2	1	no	—
225	C₂²×C₇×D₄	—	2	1	no	—
226	C₂²×C₇×D₄	D₄	1	1	yes	characteristic
227	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
228	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
229	C₂³×C₄×C₇	—	2	1	no	—
230	C₂³×C₄×C₇	—	2	1	no	—
231	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
232	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
233	C₇×#135	—	2	4	no	—
234	C₇×#135	—	4	2	no	—
235	C₇×#135	—	4	2	no	—
236	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
245	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
246	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
247	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
248	C₂×C₇×M₁₆	—	4	2	no	—
249	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
250	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
251	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
252	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
253	C₂²×C₇×C₈	—	4	2	no	—
254	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
255	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
256	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
257	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
258	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
259	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
260	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
261	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
262	C₇×C₄⋊Q₈	—	2	1	no	—
263	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
264	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
265	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
266	C₇×#127	—	2	1	no	—
267	C₇×#127	C₂³	1	1	yes	characteristic
268	C₇×#126	—	2	1	no	—
269	C₇×#126	—	2	1	no	—
270	C₇×#126	—	2	1	no	—
271	C₇×#126	—	2	1	no	—
272	C₇×#126	—	2	1	no	—
273	C₇×#126	—	2	1	no	—
274	C₇×#125	—	2	1	no	—
275	C₇×#125	—	2	1	no	—
276	C₇×#125	—	2	1	no	—
277	C₇×#125	C₂³	1	1	yes	characteristic
278	C₇×#125	C₂³	1	1	yes	characteristic
279	C₇×#124	—	2	1	no	—
280	C₇×#124	—	2	1	no	—
281	C₇×#124	—	2	1	no	—
282	C₇×#124	—	2	1	no	—
283	C₇×#124	—	2	1	no	—
284	C₇×#124	C₂³	1	1	yes	characteristic
285	C₇×#124	C₂³	1	1	yes	characteristic
286	C₇×#123	—	2	1	no	—
287	C₇×#123	—	2	1	no	—
288	C₇×#123	—	2	1	no	—
289	C₇×#123	—	2	1	no	—
290	C₇×#123	—	2	1	no	—
291	C₇×#123	—	2	1	no	—
292	C₇×#123	—	2	1	no	—
293	C₇×#123	—	2	1	no	—
294	C₇×#123	—	2	1	no	—
295	C₇×#123	—	2	1	no	—
296	C₇×#123	—	2	1	no	—
297	C₇×#123	—	2	1	no	—
298	C₇×#123	—	2	1	no	—
299	C₇×#123	—	2	1	no	—
300	C₇×C₂²⋊Q₈	—	2	1	no	—
301	C₇×C₂²⋊Q₈	—	2	1	no	—
302	C₇×C₂²⋊Q₈	—	2	1	no	—
303	C₇×C₂²⋊Q₈	—	2	1	no	—
304	C₇×C₂²⋊Q₈	—	2	1	no	—
305	C₇×C₂²⋊Q₈	—	2	1	no	—
306	C₇×C₂²⋊Q₈	—	2	1	no	—
307	C₇×C₂²⋊Q₈	—	2	1	no	—
308	C₇×C₂²⋊Q₈	—	2	1	no	—
309	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
310	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
311	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
312	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
313	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
314	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
315	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
316	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
317	C₇×#121	—	2	1	no	—
318	C₇×#121	—	2	1	no	—
319	C₇×#121	—	2	1	no	—
320	C₇×#121	—	2	1	no	—
321	C₇×#121	—	2	1	no	—
322	C₇×#121	—	2	1	no	—
323	C₇×#121	—	2	1	no	—
324	C₇×#121	—	2	1	no	—
325	C₇×#121	—	2	1	no	—
326	C₇×#121	—	2	1	no	—
327	C₇×#121	—	2	1	no	—
328	C₇×#121	—	2	1	no	—
329	C₇×#121	—	2	1	no	—
330	C₇×#121	C₂³	1	1	yes	characteristic
331	C₇×#121	C₂³	1	1	yes	characteristic
332	C₇×#121	C₂³	1	1	yes	characteristic
333	C₇×#121	C₂³	1	1	yes	characteristic
334	C₇×#121	C₂³	1	1	yes	characteristic
335	C₇×#121	C₂³	1	1	yes	characteristic
336	C₇×#121	C₂³	1	1	yes	characteristic
337	C₇×#121	C₂³	1	1	yes	characteristic
338	C₇×#120	—	2	1	no	—
339	C₇×#120	—	2	1	no	—
340	C₇×#120	—	2	1	no	—
341	C₇×#120	—	2	1	no	—
342	C₇×#120	—	2	1	no	—
343	C₇×#120	—	2	1	no	—
344	C₇×#120	—	2	1	no	—
345	C₇×#120	—	2	1	no	—
346	C₄×C₇×Q₈	—	2	1	no	—
347	C₄×C₇×Q₈	—	2	1	no	—
348	C₄×C₇×Q₈	—	2	1	no	—
349	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
350	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
351	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
352	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
353	C₄×C₇×D₄	—	2	1	no	—
354	C₄×C₇×D₄	—	2	1	no	—
355	C₄×C₇×D₄	—	2	1	no	—
356	C₄×C₇×D₄	—	2	1	no	—
357	C₄×C₇×D₄	—	2	1	no	—
358	C₄×C₇×D₄	—	2	1	no	—
359	C₄×C₇×D₄	—	2	1	no	—
360	C₄×C₇×D₄	—	2	1	no	—
361	C₄×C₇×D₄	—	2	1	no	—
362	C₄×C₇×D₄	—	2	1	no	—
363	C₄×C₇×D₄	—	2	1	no	—
364	C₄×C₇×D₄	—	2	1	no	—
365	C₄×C₇×D₄	—	2	1	no	—
366	C₄×C₇×D₄	—	2	1	no	—
367	C₄×C₇×D₄	—	2	1	no	—
368	C₄×C₇×D₄	—	2	1	no	—
369	C₄×C₇×D₄	—	2	1	no	—
370	C₄×C₇×D₄	—	2	1	no	—
371	C₄×C₇×D₄	—	2	1	no	—
372	C₄×C₇×D₄	—	2	1	no	—
373	C₄×C₇×D₄	—	2	1	no	—
374	C₄×C₇×D₄	D₄	1	1	yes	characteristic
375	C₄×C₇×D₄	D₄	1	1	yes	characteristic
376	C₄×C₇×D₄	D₄	1	1	yes	characteristic
377	C₄×C₇×D₄	D₄	1	1	yes	characteristic
378	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
379	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
380	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
381	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
382	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
383	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
384	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
385	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
386	C₇×#117	—	2	1	no	—
387	C₇×#117	—	2	1	no	—
388	C₇×#117	—	2	1	no	—
389	C₇×#117	—	2	1	no	—
390	C₇×#117	—	2	1	no	—
391	C₇×#117	—	2	1	no	—
392	C₇×#117	—	2	1	no	—
393	C₇×#117	—	2	1	no	—
394	C₇×#117	—	2	1	no	—
395	C₇×#117	C₂³	1	1	yes	characteristic
396	C₇×#117	C₂³	1	1	yes	characteristic
397	C₇×#117	C₂³	1	1	yes	characteristic
398	C₇×#117	C₂³	1	1	yes	characteristic
399	C₇×#117	C₂³	1	1	yes	characteristic
400	C₇×#117	C₂³	1	1	yes	characteristic
401	C₇×#117	C₂³	1	1	yes	characteristic
402	C₇×#117	C₂³	1	1	yes	characteristic
403	C₂×C₇×C₄⋊C₄	—	2	1	no	—
404	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
405	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
406	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
407	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
408	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
409	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
410	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
411	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
412	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
413	C₂×C₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
414	C₂×C₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
415	C₂×C₄²×C₇	—	2	1	no	—
416	C₂×C₄²×C₇	—	2	1	no	—
417	C₂×C₄²×C₇	—	2	1	no	—
418	C₂×C₄²×C₇	—	2	1	no	—
419	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
420	C₇×#107	C₂³	1	1	yes	characteristic
421	C₇×#107	C₂³	1	1	yes	characteristic
422	C₇×#107	C₂³	1	1	yes	characteristic
423	C₇×#107	C₂³	1	1	yes	characteristic
424	C₇×#107	C₂³	1	1	yes	characteristic
425	C₇×#107	C₂³	1	1	yes	characteristic
426	C₇×#106	C₂³	1	1	yes	characteristic
427	C₇×#106	C₂³	1	1	yes	characteristic
428	C₇×#106	C₂³	1	1	yes	characteristic
429	C₇×#106	C₂³	1	1	yes	characteristic
430	C₇×#106	C₂³	1	1	yes	characteristic
431	C₇×#106	C₂³	1	1	yes	characteristic
432	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₇×#103	C₂³	1	1	yes	characteristic
437	C₇×#103	C₂³	1	1	yes	characteristic
438	C₇×#103	C₂³	1	1	yes	characteristic
439	C₇×#103	C₂³	1	1	yes	characteristic
440	C₇×#103	C₂³	1	1	yes	characteristic
441	C₇×#103	C₂³	1	1	yes	characteristic
442	C₇×#103	C₂³	1	1	yes	characteristic
443	C₇×#103	C₂³	1	1	yes	characteristic
444	C₇×#103	C₂³	1	1	yes	characteristic
445	C₇×#103	C₂³	1	1	yes	characteristic
446	C₇×#103	C₂³	1	1	yes	characteristic
447	C₇×#103	C₂³	1	1	yes	characteristic
448	C₇×#103	C₂³	1	1	yes	characteristic
449	C₇×#103	C₂³	1	1	yes	characteristic
450	C₇×#103	C₂³	1	1	yes	characteristic
451	C₇×#103	C₂³	1	1	yes	characteristic
452	C₇×#103	C₂³	1	1	yes	characteristic
453	C₇×#103	C₂³	1	1	yes	characteristic
454	C₇×#103	C₂³	1	1	yes	characteristic
455	C₇×#103	C₂³	1	1	yes	characteristic
456	C₇×#102	C₂³	1	1	yes	characteristic
457	C₇×#102	C₂³	1	1	yes	characteristic
458	C₇×#102	C₂³	1	1	yes	characteristic
459	C₇×#102	C₂³	1	1	yes	characteristic
460	C₇×#102	C₂³	1	1	yes	characteristic
461	C₇×#102	C₂³	1	1	yes	characteristic
462	C₇×#102	C₂³	1	1	yes	characteristic
463	C₇×#102	C₂³	1	1	yes	characteristic
464	C₇×#102	C₂³	1	1	yes	characteristic
465	C₇×#102	C₂³	1	1	yes	characteristic
466	C₇×#102	C₂³	1	1	yes	characteristic
467	C₇×#102	C₂³	1	1	yes	characteristic
468	C₇×#102	C₂³	1	1	yes	characteristic
469	C₇×#102	C₂³	1	1	yes	characteristic
470	C₇×#102	C₂³	1	1	yes	characteristic
471	C₇×#102	C₂³	1	1	yes	characteristic
472	C₇×#102	C₂³	1	1	yes	characteristic
473	C₇×#102	C₂³	1	1	yes	characteristic
474	C₇×#102	C₂³	1	1	yes	characteristic
475	C₇×#102	C₂³	1	1	yes	characteristic
476	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
479	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
480	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
481	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
482	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
483	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
484	C₇×#97	C₂³	1	1	yes	characteristic
485	C₇×#97	C₂³	1	1	yes	characteristic
486	C₇×#97	C₂³	1	1	yes	characteristic
487	C₇×#97	C₂³	1	1	yes	characteristic
488	#3475	C₂×C₇	1	1	yes	characteristic, complemented
489	D₄×#41	C₂×C₇	1	1	yes	characteristic, complemented
490	#3321	C₂×C₇	1	1	yes	characteristic, complemented
491	#3320	C₂×C₇	1	1	yes	characteristic, complemented
492	#3319	C₂×C₇	1	1	yes	characteristic, complemented
493	#3318	C₂×C₇	1	1	yes	characteristic, complemented
494	#3317	C₂×C₇	1	1	yes	characteristic, complemented
495	#3316	C₂×C₇	1	1	yes	characteristic, complemented
496	#3315	C₂×C₇	1	1	yes	characteristic, complemented
497	#3314	C₂×C₇	1	1	yes	characteristic, complemented
498	#3313	C₂×C₇	1	1	yes	characteristic, complemented
499	#3312	C₂×C₇	1	1	yes	characteristic, complemented
500	#3311	C₂×C₇	1	1	yes	characteristic, complemented
501	#3310	C₂×C₇	1	1	yes	characteristic, complemented
502	#3309	C₂×C₇	1	1	yes	characteristic, complemented
503	#3308	C₂×C₇	1	1	yes	characteristic, complemented
504	#3307	C₂×C₇	1	1	yes	characteristic, complemented
505	#3306	C₂×C₇	1	1	yes	characteristic, complemented
506	#3135	C₂×C₇	1	1	yes	characteristic, complemented
507	#3091	C₂×C₇	1	1	yes	characteristic, complemented
508	#3091	C₂×C₇	1	1	yes	characteristic, complemented
509	#3076	C₂×C₇	1	1	yes	characteristic, complemented
510	#3054	C₂×C₇	1	1	yes	characteristic, complemented
511	#3050	C₂×C₇	1	1	yes	characteristic, complemented
512	#3035	C₂×C₇	1	1	yes	characteristic, complemented
513	#3002	C₂×C₇	1	1	yes	characteristic, complemented
514	#3002	C₂×C₇	1	1	yes	characteristic, complemented
515	#2943	C₂×C₇	1	1	yes	characteristic, complemented
516	C₂×#435	C₂×C₇	1	1	yes	characteristic, complemented
517	#2896	C₂×C₇	1	1	yes	characteristic, complemented
518	C₂×#416	C₂×C₇	1	1	yes	characteristic, complemented
519	C₂⁴×C₇	—	2	1	no	—
520	C₂⁴×C₇	—	2	1	no	—
521	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
522	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
523	C₇×#41	—	2	2	no	—
524	C₇×#41	—	2	2	no	—
525	C₇×#41	—	2	2	no	—
526	C₇×#41	—	2	2	no	—
527	C₇×#41	—	2	2	no	—
528	C₇×#41	—	2	2	no	—
529	C₇×#41	—	2	2	no	—
530	C₇×#41	—	2	2	no	—
531	C₇×#41	—	2	2	no	—
532	C₇×#41	—	2	2	no	—
533	C₇×#41	—	2	2	no	—
534	C₇×#41	—	4	4	no	—
535	C₇×#41	—	4	4	no	—
536	C₇×#41	—	4	1	no	—
537	C₇×#41	—	4	1	no	—
538	C₇×#41	—	4	1	no	—
539	C₇×#41	—	4	1	no	—
540	C₇×#41	—	4	4	no	—
541	C₇×#41	—	4	4	no	—
542	C₇×#41	—	4	4	no	—
543	C₇×#41	#41	1	4	yes	complemented
544	C₂×C₇×Q₈	—	2	1	no	—
545	C₂×C₇×Q₈	—	2	1	no	—
546	C₂×C₇×Q₈	—	2	1	no	—
547	C₂×C₇×Q₈	—	2	1	no	—
548	C₂×C₇×Q₈	—	2	2	no	—
549	C₂×C₇×Q₈	—	2	2	no	—
550	C₂×C₇×Q₈	—	4	1	no	—
551	C₂×C₇×Q₈	—	4	1	no	—
552	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
553	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
554	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
555	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
556	C₂×C₇×D₄	—	2	1	no	—
557	C₂×C₇×D₄	—	2	2	no	—
558	C₂×C₇×D₄	—	2	2	no	—
559	C₂×C₇×D₄	—	2	1	no	—
560	C₂×C₇×D₄	—	2	1	no	—
561	C₂×C₇×D₄	—	2	1	no	—
562	C₂×C₇×D₄	—	2	1	no	—
563	C₂×C₇×D₄	—	2	1	no	—
564	C₂×C₇×D₄	—	2	1	no	—
565	C₂×C₇×D₄	—	2	1	no	—
566	C₂×C₇×D₄	—	2	1	no	—
567	C₂×C₇×D₄	—	2	1	no	—
568	C₂×C₇×D₄	—	2	1	no	—
569	C₂×C₇×D₄	—	2	1	no	—
570	C₂×C₇×D₄	—	2	1	no	—
571	C₂×C₇×D₄	—	2	1	no	—
572	C₂×C₇×D₄	—	2	1	no	—
573	C₂×C₇×D₄	—	2	1	no	—
574	C₂×C₇×D₄	—	2	1	no	—
575	C₂×C₇×D₄	—	2	1	no	—
576	C₂×C₇×D₄	—	2	1	no	—
577	C₂×C₇×D₄	—	2	1	no	—
578	C₂×C₇×D₄	—	4	1	no	—
579	C₂×C₇×D₄	—	4	1	no	—
580	C₂×C₇×D₄	—	4	2	no	—
581	C₂×C₇×D₄	—	4	4	no	—
582	C₂×C₇×D₄	—	4	4	no	—
583	C₂×C₇×D₄	—	4	4	no	—
584	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
585	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
586	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
587	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
588	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
589	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
590	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
591	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
592	C₂²×C₄×C₇	—	2	1	no	—
593	C₂²×C₄×C₇	—	2	2	no	—
594	C₂²×C₄×C₇	—	2	2	no	—
595	C₂²×C₄×C₇	—	2	2	no	—
596	C₂²×C₄×C₇	—	2	2	no	—
597	C₂²×C₄×C₇	—	2	1	no	—
598	C₂²×C₄×C₇	—	2	1	no	—
599	C₂²×C₄×C₇	—	2	1	no	—
600	C₂²×C₄×C₇	—	2	1	no	—
601	C₂²×C₄×C₇	—	2	1	no	—
602	C₂²×C₄×C₇	—	2	1	no	—
603	C₂²×C₄×C₇	—	2	1	no	—
604	C₂²×C₄×C₇	—	2	1	no	—
605	C₂²×C₄×C₇	—	2	1	no	—
606	C₂²×C₄×C₇	—	2	1	no	—
607	C₂²×C₄×C₇	—	2	1	no	—
608	C₂²×C₄×C₇	—	2	1	no	—
609	C₂²×C₄×C₇	—	2	1	no	—
610	C₂²×C₄×C₇	—	2	1	no	—
611	C₂²×C₄×C₇	—	2	1	no	—
612	C₂²×C₄×C₇	—	2	1	no	—
613	C₂²×C₄×C₇	—	2	1	no	—
614	C₂²×C₄×C₇	—	4	4	no	—
615	C₂²×C₄×C₇	—	4	4	no	—
616	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
617	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
618	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
619	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
620	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
621	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
622	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
623	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
624	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
625	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
626	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
627	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
628	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
629	C₇×Q₁₆	—	2	2	no	—
630	C₇×Q₁₆	—	4	1	no	—
631	C₇×Q₁₆	—	4	1	no	—
632	C₇×SD₁₆	—	2	2	no	—
633	C₇×SD₁₆	—	2	2	no	—
634	C₇×SD₁₆	—	4	1	no	—
635	C₇×SD₁₆	—	4	1	no	—
636	C₇×SD₁₆	—	4	1	no	—
637	C₇×SD₁₆	—	4	1	no	—
638	C₇×D₈	—	2	2	no	—
639	C₇×D₈	—	4	1	no	—
640	C₇×D₈	—	4	1	no	—
641	C₇×M₁₆	—	4	1	no	—
642	C₇×M₁₆	—	4	1	no	—
643	C₇×M₁₆	—	4	1	no	—
644	C₇×M₁₆	—	4	1	no	—
645	C₂×C₇×C₈	—	2	2	no	—
646	C₂×C₇×C₈	—	2	2	no	—
647	C₂×C₇×C₈	—	2	2	no	—
648	C₂×C₇×C₈	—	2	2	no	—
649	C₂×C₇×C₈	—	4	1	no	—
650	C₂×C₇×C₈	—	4	1	no	—
651	C₂×C₇×C₈	—	4	1	no	—
652	C₂×C₇×C₈	—	4	1	no	—
653	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
654	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
655	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
656	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
657	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
658	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
659	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
660	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
661	C₇×C₄⋊C₄	—	2	1	no	—
662	C₇×C₄⋊C₄	—	2	1	no	—
663	C₇×C₄⋊C₄	—	2	1	no	—
664	C₇×C₄⋊C₄	—	2	1	no	—
665	C₇×C₄⋊C₄	—	2	1	no	—
666	C₇×C₄⋊C₄	—	2	1	no	—
667	C₇×C₄⋊C₄	—	2	1	no	—
668	C₇×C₄⋊C₄	—	2	1	no	—
669	C₇×C₄⋊C₄	—	2	1	no	—
670	C₇×C₄⋊C₄	—	2	1	no	—
671	C₇×C₄⋊C₄	—	2	1	no	—
672	C₇×C₄⋊C₄	—	2	1	no	—
673	C₇×C₄⋊C₄	—	2	1	no	—
674	C₇×C₄⋊C₄	—	2	1	no	—
675	C₇×C₄⋊C₄	—	2	1	no	—
676	C₇×C₄⋊C₄	—	2	1	no	—
677	C₇×C₄⋊C₄	—	2	1	no	—
678	C₇×C₄⋊C₄	—	2	1	no	—
679	C₇×C₄⋊C₄	—	2	1	no	—
680	C₇×C₄⋊C₄	—	2	1	no	—
681	C₇×C₄⋊C₄	—	2	1	no	—
682	C₇×C₄⋊C₄	—	2	1	no	—
683	C₇×C₄⋊C₄	—	2	1	no	—
684	C₇×C₄⋊C₄	—	2	1	no	—
685	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
686	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
687	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
688	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
689	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
690	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
691	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
692	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
693	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
694	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
695	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
696	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
697	C₇×C₂²⋊C₄	—	2	1	no	—
698	C₇×C₂²⋊C₄	—	2	1	no	—
699	C₇×C₂²⋊C₄	—	2	1	no	—
700	C₇×C₂²⋊C₄	—	2	1	no	—
701	C₇×C₂²⋊C₄	—	2	1	no	—
702	C₇×C₂²⋊C₄	—	2	1	no	—
703	C₇×C₂²⋊C₄	—	2	1	no	—
704	C₇×C₂²⋊C₄	—	2	1	no	—
705	C₇×C₂²⋊C₄	—	2	1	no	—
706	C₇×C₂²⋊C₄	—	2	1	no	—
707	C₇×C₂²⋊C₄	—	2	1	no	—
708	C₇×C₂²⋊C₄	—	2	1	no	—
709	C₇×C₂²⋊C₄	—	2	1	no	—
710	C₇×C₂²⋊C₄	—	2	1	no	—
711	C₇×C₂²⋊C₄	—	2	1	no	—
712	C₇×C₂²⋊C₄	—	2	1	no	—
713	C₇×C₂²⋊C₄	—	2	1	no	—
714	C₇×C₂²⋊C₄	—	2	1	no	—
715	C₇×C₂²⋊C₄	—	2	1	no	—
716	C₇×C₂²⋊C₄	—	2	1	no	—
717	C₇×C₂²⋊C₄	—	2	1	no	—
718	C₇×C₂²⋊C₄	—	2	1	no	—
719	C₇×C₂²⋊C₄	—	2	1	no	—
720	C₇×C₂²⋊C₄	—	2	1	no	—
721	C₇×C₂²⋊C₄	—	2	1	no	—
722	C₇×C₂²⋊C₄	—	2	1	no	—
723	C₇×C₂²⋊C₄	—	2	1	no	—
724	C₇×C₂²⋊C₄	—	2	1	no	—
725	C₇×C₂²⋊C₄	—	2	1	no	—
726	C₇×C₂²⋊C₄	—	2	1	no	—
727	C₇×C₂²⋊C₄	—	2	1	no	—
728	C₇×C₂²⋊C₄	—	2	1	no	—
729	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
730	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
731	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
732	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
733	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
734	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
735	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
736	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
737	C₄²×C₇	—	2	1	no	—
738	C₄²×C₇	—	2	1	no	—
739	C₄²×C₇	—	2	1	no	—
740	C₄²×C₇	—	2	1	no	—
741	C₄²×C₇	—	2	1	no	—
742	C₄²×C₇	—	2	1	no	—
743	C₄²×C₇	—	2	1	no	—
744	C₄²×C₇	—	2	1	no	—
745	C₄²×C₇	—	2	1	no	—
746	C₄²×C₇	—	2	1	no	—
747	C₄²×C₇	—	2	1	no	—
748	C₄²×C₇	—	2	1	no	—
749	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
750	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
751	C₄²×C₇	C₂⁴	1	1	yes	characteristic
752	C₄²×C₇	C₂⁴	1	1	yes	characteristic
753	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
754	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
755	C₂×#135	C₂²×C₇	1	1	yes	characteristic
756	C₂×#135	C₂²×C₇	1	1	yes	characteristic, complemented
757	C₂×#135	C₂²×C₇	1	1	yes	characteristic, complemented
758	C₂²×M₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
759	C₂³×C₈	C₂²×C₇	1	1	yes	characteristic, complemented
760	#556	C₂²×C₇	1	1	yes	characteristic, complemented
761	#555	C₂²×C₇	1	1	yes	characteristic, complemented
762	#554	C₂²×C₇	1	1	yes	characteristic, complemented
763	#553	C₂²×C₇	1	1	yes	characteristic
764	#553	C₂²×C₇	1	1	yes	characteristic, complemented
765	#552	—	2	1	no	—
766	#552	C₂²×C₇	1	1	yes	characteristic
767	#552	C₂²×C₇	1	1	yes	characteristic, complemented
768	#551	—	2	1	no	—
769	#551	—	2	1	no	—
770	#550	C₂²×C₇	1	1	yes	characteristic
771	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic
772	#548	C₂²×C₇	1	1	yes	characteristic
773	#548	C₂²×C₇	1	1	yes	characteristic
774	#547	—	2	1	no	—
775	#547	C₂²×C₇	1	1	yes	characteristic
776	#547	C₂²×C₇	1	1	yes	characteristic, complemented
777	#546	—	2	1	no	—
778	#546	—	2	1	no	—
779	#546	—	2	1	no	—
780	#546	C₂²×C₇	1	1	yes	characteristic
781	#546	C₂²×C₇	1	1	yes	characteristic
782	D₄²	—	2	1	no	—
783	D₄²	C₂²×C₇	1	1	yes	characteristic
784	#533	C₂²×C₇	1	1	yes	characteristic, complemented
785	#532	—	2	1	no	—
786	#532	C₂²×C₇	1	1	yes	characteristic
787	#529	—	2	1	no	—
788	#529	—	2	1	no	—
789	#529	—	2	1	no	—
790	#525	—	2	1	no	—
791	#525	—	2	1	no	—
792	#525	C₂²×C₇	1	1	yes	characteristic
793	#525	C₂²×C₇	1	1	yes	characteristic
794	#525	C₂²×C₇	1	1	yes	characteristic, complemented
795	#525	C₂²×C₇	1	1	yes	characteristic, complemented
796	C₄×#41	—	2	1	no	—
797	C₄×#41	C₂²×C₇	1	1	yes	characteristic
798	C₄×#41	C₂²×C₇	1	1	yes	characteristic, complemented
799	C₂×C₄×D₄	—	2	1	no	—
800	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
801	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
802	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
803	#491	C₂²×C₇	1	1	yes	characteristic, complemented
804	#491	C₂²×C₇	1	1	yes	characteristic, complemented
805	#490	C₂²×C₇	1	1	yes	characteristic, complemented
806	#490	C₂²×C₇	1	1	yes	characteristic, complemented
807	#489	C₂²×C₇	1	1	yes	characteristic, complemented
808	#489	C₂²×C₇	1	1	yes	characteristic, complemented
809	#489	C₂²×C₇	1	1	yes	characteristic, complemented
810	#489	C₂²×C₇	1	1	yes	characteristic, complemented
811	#485	C₂²×C₇	1	1	yes	characteristic, complemented
812	#485	C₂²×C₇	1	1	yes	characteristic, complemented
813	#485	C₂²×C₇	1	1	yes	characteristic, complemented
814	#485	C₂²×C₇	1	1	yes	characteristic, complemented
815	#484	C₂²×C₇	1	1	yes	characteristic, complemented
816	#484	C₂²×C₇	1	1	yes	characteristic, complemented
817	#483	C₂²×C₇	1	1	yes	characteristic, complemented
818	#483	C₂²×C₇	1	1	yes	characteristic, complemented
819	#482	C₂²×C₇	1	1	yes	characteristic, complemented
820	#482	C₂²×C₇	1	1	yes	characteristic, complemented
821	#482	C₂²×C₇	1	1	yes	characteristic, complemented
822	#482	C₂²×C₇	1	1	yes	characteristic, complemented
823	#481	C₂²×C₇	1	1	yes	characteristic, complemented
824	#481	C₂²×C₇	1	1	yes	characteristic, complemented
825	#480	C₂²×C₇	1	1	yes	characteristic, complemented
826	#480	C₂²×C₇	1	1	yes	characteristic, complemented
827	#479	C₂²×C₇	1	1	yes	characteristic, complemented
828	#479	C₂²×C₇	1	1	yes	characteristic, complemented
829	#478	C₂²×C₇	1	1	yes	characteristic, complemented
830	#478	C₂²×C₇	1	1	yes	characteristic, complemented
831	#477	C₂²×C₇	1	1	yes	characteristic, complemented
832	#476	C₂²×C₇	1	1	yes	characteristic, complemented
833	#475	C₂²×C₇	1	1	yes	characteristic, complemented
834	#474	C₂²×C₇	1	1	yes	characteristic, complemented
835	#470	C₂²×C₇	1	1	yes	characteristic, complemented
836	#470	C₂²×C₇	1	1	yes	characteristic, complemented
837	#469	C₂²×C₇	1	1	yes	characteristic, complemented
838	#469	C₂²×C₇	1	1	yes	characteristic, complemented
839	#468	C₂²×C₇	1	1	yes	characteristic, complemented
840	#468	C₂²×C₇	1	1	yes	characteristic, complemented
841	#468	C₂²×C₇	1	1	yes	characteristic, complemented
842	#468	C₂²×C₇	1	1	yes	characteristic, complemented
843	#467	C₂²×C₇	1	1	yes	characteristic, complemented
844	#467	C₂²×C₇	1	1	yes	characteristic, complemented
845	#466	C₂²×C₇	1	1	yes	characteristic, complemented
846	#466	C₂²×C₇	1	1	yes	characteristic, complemented
847	#465	C₂²×C₇	1	1	yes	characteristic, complemented
848	#465	C₂²×C₇	1	1	yes	characteristic, complemented
849	#465	C₂²×C₇	1	1	yes	characteristic, complemented
850	#465	C₂²×C₇	1	1	yes	characteristic, complemented
851	#464	C₂²×C₇	1	1	yes	characteristic, complemented
852	#464	C₂²×C₇	1	1	yes	characteristic, complemented
853	#463	C₂²×C₇	1	1	yes	characteristic, complemented
854	#463	C₂²×C₇	1	1	yes	characteristic, complemented
855	#462	C₂²×C₇	1	1	yes	characteristic, complemented
856	#461	C₂²×C₇	1	1	yes	characteristic, complemented
857	#460	C₂²×C₇	1	1	yes	characteristic, complemented
858	#459	C₂²×C₇	1	1	yes	characteristic, complemented
859	#452	C₂²×C₇	1	1	yes	characteristic, complemented
860	#452	C₂²×C₇	1	1	yes	characteristic, complemented
861	#452	C₂²×C₇	1	1	yes	characteristic, complemented
862	#452	C₂²×C₇	1	1	yes	characteristic, complemented
863	#451	C₂²×C₇	1	1	yes	characteristic, complemented
864	#451	C₂²×C₇	1	1	yes	characteristic, complemented
865	#450	C₂²×C₇	1	1	yes	characteristic, complemented
866	#450	C₂²×C₇	1	1	yes	characteristic, complemented
867	#449	C₂²×C₇	1	1	yes	characteristic, complemented
868	#449	C₂²×C₇	1	1	yes	characteristic, complemented
869	#449	C₂²×C₇	1	1	yes	characteristic, complemented
870	#449	C₂²×C₇	1	1	yes	characteristic, complemented
871	#448	C₂²×C₇	1	1	yes	characteristic, complemented
872	#448	C₂²×C₇	1	1	yes	characteristic, complemented
873	#447	C₂²×C₇	1	1	yes	characteristic, complemented
874	#447	C₂²×C₇	1	1	yes	characteristic, complemented
875	#442	C₂²×C₇	1	1	yes	characteristic, complemented
876	#442	C₂²×C₇	1	1	yes	characteristic, complemented
877	#441	C₂²×C₇	1	1	yes	characteristic, complemented
878	#441	C₂²×C₇	1	1	yes	characteristic, complemented
879	#440	C₂²×C₇	1	1	yes	characteristic, complemented
880	#440	C₂²×C₇	1	1	yes	characteristic, complemented
881	#440	C₂²×C₇	1	1	yes	characteristic, complemented
882	#440	C₂²×C₇	1	1	yes	characteristic, complemented
883	#435	C₂²×C₇	1	1	yes	characteristic
884	#435	C₂²×C₇	1	1	yes	characteristic
885	#435	C₂²×C₇	1	1	yes	characteristic, complemented
886	#435	C₂²×C₇	1	1	yes	characteristic, complemented
887	#435	C₂²×C₇	1	1	yes	characteristic, complemented
888	#435	C₂²×C₇	1	1	yes	characteristic, complemented
889	#435	C₂²×C₇	1	1	yes	characteristic, complemented
890	#435	C₂²×C₇	1	1	yes	characteristic, complemented
891	#427	C₂²×C₇	1	1	yes	characteristic, complemented
892	#427	C₂²×C₇	1	1	yes	characteristic, complemented
893	#427	C₂²×C₇	1	1	yes	characteristic, complemented
894	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
895	#419	C₂²×C₇	1	1	yes	characteristic, complemented
896	#419	C₂²×C₇	1	1	yes	characteristic, complemented
897	#418	C₂²×C₇	1	1	yes	characteristic, complemented
898	#418	C₂²×C₇	1	1	yes	characteristic, complemented
899	#417	C₂²×C₇	1	1	yes	characteristic, complemented
900	#417	C₂²×C₇	1	1	yes	characteristic, complemented
901	#417	C₂²×C₇	1	1	yes	characteristic, complemented
902	#417	C₂²×C₇	1	1	yes	characteristic, complemented
903	#416	C₂²×C₇	1	1	yes	characteristic
904	#416	C₂²×C₇	1	1	yes	characteristic
905	#416	C₂²×C₇	1	1	yes	characteristic
906	#416	C₂²×C₇	1	1	yes	characteristic, complemented
907	#416	C₂²×C₇	1	1	yes	characteristic, complemented
908	#416	C₂²×C₇	1	1	yes	characteristic, complemented
909	#416	C₂²×C₇	1	1	yes	characteristic, complemented
910	#416	C₂²×C₇	1	1	yes	characteristic, complemented
911	#416	C₂²×C₇	1	1	yes	characteristic, complemented
912	#416	C₂²×C₇	1	1	yes	characteristic, complemented
913	#416	C₂²×C₇	1	1	yes	characteristic, complemented
914	#416	C₂²×C₇	1	1	yes	characteristic, complemented
915	#416	C₂²×C₇	1	1	yes	characteristic, complemented
916	#416	C₂²×C₇	1	1	yes	characteristic, complemented
917	C₂×#103	C₂²×C₇	1	1	yes	characteristic, complemented
918	C₂×#103	C₂²×C₇	1	1	yes	characteristic, complemented
919	C₂×#102	C₂²×C₇	1	1	yes	characteristic, complemented
920	C₂×#102	C₂²×C₇	1	1	yes	characteristic, complemented
921	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
922	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
923	C₂×#97	C₂²×C₇	1	1	yes	characteristic, complemented
924	C₂³×C₇	—	2	2	no	—
925	C₂³×C₇	—	2	2	no	—
926	C₂³×C₇	—	2	1	no	—
927	C₂³×C₇	—	2	2	no	—
928	C₂³×C₇	—	2	1	no	—
929	C₂³×C₇	—	2	1	no	—
930	C₂³×C₇	—	2	1	no	—
931	C₂³×C₇	—	4	1	no	—
932	C₂³×C₇	—	4	1	no	—
933	C₂³×C₇	—	4	1	no	—
934	C₂³×C₇	—	4	2	no	—
935	C₂³×C₇	—	4	2	no	—
936	C₂³×C₇	—	4	2	no	—
937	C₂³×C₇	—	4	2	no	—
938	C₂³×C₇	—	8	1	no	—
939	C₂³×C₇	—	8	1	no	—
940	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
941	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
942	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
943	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
944	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
945	C₇×Q₈	—	2	1	no	—
946	C₇×Q₈	—	2	1	no	—
947	C₇×Q₈	—	2	1	no	—
948	C₇×Q₈	—	2	1	no	—
949	C₇×Q₈	—	2	1	no	—
950	C₇×Q₈	—	2	1	no	—
951	C₇×Q₈	—	2	1	no	—
952	C₇×Q₈	—	4	2	no	—
953	C₇×Q₈	—	4	2	no	—
954	C₇×Q₈	—	4	2	no	—
955	C₇×Q₈	—	8	1	no	—
956	C₇×Q₈	C₂×#41	1	2	yes	—
957	C₇×D₄	—	2	4	no	—
958	C₇×D₄	—	2	2	no	—
959	C₇×D₄	—	2	2	no	—
960	C₇×D₄	—	2	1	no	—
961	C₇×D₄	—	2	1	no	—
962	C₇×D₄	—	2	1	no	—
963	C₇×D₄	—	2	1	no	—
964	C₇×D₄	—	2	1	no	—
965	C₇×D₄	—	2	1	no	—
966	C₇×D₄	—	2	1	no	—
967	C₇×D₄	—	4	1	no	—
968	C₇×D₄	—	4	1	no	—
969	C₇×D₄	—	4	2	no	—
970	C₇×D₄	—	4	2	no	—
971	C₇×D₄	—	4	2	no	—
972	C₇×D₄	—	4	2	no	—
973	C₇×D₄	—	4	2	no	—
974	C₇×D₄	—	4	2	no	—
975	C₇×D₄	—	4	2	no	—
976	C₇×D₄	—	4	2	no	—
977	C₇×D₄	—	4	2	no	—
978	C₇×D₄	—	4	2	no	—
979	C₇×D₄	—	4	2	no	—
980	C₇×D₄	—	4	2	no	—
981	C₇×D₄	—	4	2	no	—
982	C₇×D₄	—	4	2	no	—
983	C₇×D₄	—	8	1	no	—
984	C₇×D₄	—	8	1	no	—
985	C₇×D₄	—	8	1	no	—
986	C₇×D₄	—	8	1	no	—
987	C₇×D₄	—	8	1	no	—
988	C₇×D₄	C₂×#41	1	2	yes	—
989	C₂×C₄×C₇	—	2	2	no	—
990	C₂×C₄×C₇	—	2	2	no	—
991	C₂×C₄×C₇	—	2	1	no	—
992	C₂×C₄×C₇	—	2	2	no	—
993	C₂×C₄×C₇	—	2	2	no	—
994	C₂×C₄×C₇	—	2	2	no	—
995	C₂×C₄×C₇	—	2	2	no	—
996	C₂×C₄×C₇	—	2	4	no	—
997	C₂×C₄×C₇	—	2	1	no	—
998	C₂×C₄×C₇	—	2	1	no	—
999	C₂×C₄×C₇	—	2	1	no	—
1000	C₂×C₄×C₇	—	2	1	no	—
1001	C₂×C₄×C₇	—	2	1	no	—
1002	C₂×C₄×C₇	—	2	1	no	—
1003	C₂×C₄×C₇	—	2	1	no	—
1004	C₂×C₄×C₇	—	2	1	no	—
1005	C₂×C₄×C₇	—	2	1	no	—
1006	C₂×C₄×C₇	—	2	1	no	—
1007	C₂×C₄×C₇	—	2	1	no	—
1008	C₂×C₄×C₇	—	2	1	no	—
1009	C₂×C₄×C₇	—	2	1	no	—
1010	C₂×C₄×C₇	—	2	1	no	—
1011	C₂×C₄×C₇	—	2	1	no	—
1012	C₂×C₄×C₇	—	2	1	no	—
1013	C₂×C₄×C₇	—	2	1	no	—
1014	C₂×C₄×C₇	—	2	1	no	—
1015	C₂×C₄×C₇	—	2	1	no	—
1016	C₂×C₄×C₇	—	4	1	no	—
1017	C₂×C₄×C₇	—	4	1	no	—
1018	C₂×C₄×C₇	—	4	2	no	—
1019	C₂×C₄×C₇	—	4	2	no	—
1020	C₂×C₄×C₇	—	4	2	no	—
1021	C₂×C₄×C₇	—	4	2	no	—
1022	C₂×C₄×C₇	—	4	2	no	—
1023	C₂×C₄×C₇	—	4	2	no	—
1024	C₂×C₄×C₇	—	4	2	no	—
1025	C₂×C₄×C₇	—	4	2	no	—
1026	C₂×C₄×C₇	—	4	2	no	—
1027	C₂×C₄×C₇	—	4	2	no	—
1028	C₂×C₄×C₇	—	4	2	no	—
1029	C₂×C₄×C₇	—	4	2	no	—
1030	C₂×C₄×C₇	—	4	2	no	—
1031	C₂×C₄×C₇	—	8	1	no	—
1032	C₂×C₄×C₇	—	8	1	no	—
1033	C₂×C₄×C₇	—	8	1	no	—
1034	C₂×C₄×C₇	—	8	1	no	—
1035	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1036	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1037	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1038	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1039	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1040	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1041	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1042	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1043	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1044	C₂×C₄×C₇	C₂×#41	1	2	yes	—
1045	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
1046	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1047	C₇×C₈	—	2	1	no	—
1048	C₇×C₈	—	2	1	no	—
1049	C₇×C₈	—	2	1	no	—
1050	C₇×C₈	—	2	1	no	—
1051	C₇×C₈	—	2	1	no	—
1052	C₇×C₈	—	2	1	no	—
1053	C₇×C₈	—	2	1	no	—
1054	C₇×C₈	—	2	1	no	—
1055	C₂×#41	—	2	1	no	—
1056	C₂×#41	—	2	1	no	—
1057	C₂×#41	—	2	1	no	—
1058	C₂×#41	—	2	1	no	—
1059	C₂×#41	—	2	1	no	—
1060	C₂×#41	—	2	4	no	—
1061	C₂×#41	—	2	4	no	—
1062	C₂×#41	—	4	2	no	—
1063	C₂×#41	—	4	2	no	—
1064	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1065	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1066	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1067	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1068	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1069	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1070	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1071	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1072	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1073	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1074	C₂²×D₄	—	2	1	no	—
1075	C₂²×D₄	—	2	1	no	—
1076	C₂²×D₄	—	2	1	no	—
1077	C₂²×D₄	C₇×D₄	1	1	yes	characteristic
1078	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1079	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1080	C₂³×C₄	—	2	1	no	—
1081	C₂³×C₄	—	2	1	no	—
1082	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
1083	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
1084	#135	—	2	4	no	—
1085	#135	—	4	2	no	—
1086	#135	—	4	2	no	—
1087	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1088	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1089	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1090	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1091	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1092	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1093	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1094	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1095	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1096	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1097	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1098	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1099	C₂×M₁₆	—	4	2	no	—
1100	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1101	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1102	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1103	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1104	C₂²×C₈	—	4	2	no	—
1105	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1106	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1107	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1108	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1109	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1110	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1111	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1112	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1113	C₄⋊Q₈	—	2	1	no	—
1114	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1115	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1116	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1117	#127	—	2	1	no	—
1118	#127	C₂³×C₇	1	1	yes	characteristic
1119	#126	—	2	1	no	—
1120	#126	—	2	1	no	—
1121	#126	—	2	1	no	—
1122	#126	—	2	1	no	—
1123	#126	—	2	1	no	—
1124	#126	—	2	1	no	—
1125	#125	—	2	1	no	—
1126	#125	—	2	1	no	—
1127	#125	—	2	1	no	—
1128	#125	C₂³×C₇	1	1	yes	characteristic
1129	#125	C₂³×C₇	1	1	yes	characteristic
1130	#124	—	2	1	no	—
1131	#124	—	2	1	no	—
1132	#124	—	2	1	no	—
1133	#124	—	2	1	no	—
1134	#124	—	2	1	no	—
1135	#124	C₂³×C₇	1	1	yes	characteristic
1136	#124	C₂³×C₇	1	1	yes	characteristic
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	#123	—	2	1	no	—
1144	#123	—	2	1	no	—
1145	#123	—	2	1	no	—
1146	#123	—	2	1	no	—
1147	#123	—	2	1	no	—
1148	#123	—	2	1	no	—
1149	#123	—	2	1	no	—
1150	#123	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	—	2	1	no	—
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	—	2	1	no	—
1155	C₂²⋊Q₈	—	2	1	no	—
1156	C₂²⋊Q₈	—	2	1	no	—
1157	C₂²⋊Q₈	—	2	1	no	—
1158	C₂²⋊Q₈	—	2	1	no	—
1159	C₂²⋊Q₈	—	2	1	no	—
1160	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1161	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1162	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1163	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1164	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1165	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1166	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1167	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	—	2	1	no	—
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
1177	#121	—	2	1	no	—
1178	#121	—	2	1	no	—
1179	#121	—	2	1	no	—
1180	#121	—	2	1	no	—
1181	#121	C₂³×C₇	1	1	yes	characteristic
1182	#121	C₂³×C₇	1	1	yes	characteristic
1183	#121	C₂³×C₇	1	1	yes	characteristic
1184	#121	C₂³×C₇	1	1	yes	characteristic
1185	#121	C₂³×C₇	1	1	yes	characteristic
1186	#121	C₂³×C₇	1	1	yes	characteristic
1187	#121	C₂³×C₇	1	1	yes	characteristic
1188	#121	C₂³×C₇	1	1	yes	characteristic
1189	#120	—	2	1	no	—
1190	#120	—	2	1	no	—
1191	#120	—	2	1	no	—
1192	#120	—	2	1	no	—
1193	#120	—	2	1	no	—
1194	#120	—	2	1	no	—
1195	#120	—	2	1	no	—
1196	#120	—	2	1	no	—
1197	C₄×Q₈	—	2	1	no	—
1198	C₄×Q₈	—	2	1	no	—
1199	C₄×Q₈	—	2	1	no	—
1200	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1201	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1202	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1203	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	2	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	2	1	no	—
1218	C₄×D₄	—	2	1	no	—
1219	C₄×D₄	—	2	1	no	—
1220	C₄×D₄	—	2	1	no	—
1221	C₄×D₄	—	2	1	no	—
1222	C₄×D₄	—	2	1	no	—
1223	C₄×D₄	—	2	1	no	—
1224	C₄×D₄	—	2	1	no	—
1225	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1226	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1227	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1228	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1229	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1230	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1231	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1232	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1233	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1234	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1235	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1236	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1237	#117	—	2	1	no	—
1238	#117	—	2	1	no	—
1239	#117	—	2	1	no	—
1240	#117	—	2	1	no	—
1241	#117	—	2	1	no	—
1242	#117	—	2	1	no	—
1243	#117	—	2	1	no	—
1244	#117	—	2	1	no	—
1245	#117	—	2	1	no	—
1246	#117	C₂³×C₇	1	1	yes	characteristic
1247	#117	C₂³×C₇	1	1	yes	characteristic
1248	#117	C₂³×C₇	1	1	yes	characteristic
1249	#117	C₂³×C₇	1	1	yes	characteristic
1250	#117	C₂³×C₇	1	1	yes	characteristic
1251	#117	C₂³×C₇	1	1	yes	characteristic
1252	#117	C₂³×C₇	1	1	yes	characteristic
1253	#117	C₂³×C₇	1	1	yes	characteristic
1254	C₂×C₄⋊C₄	—	2	1	no	—
1255	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
1256	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1257	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1258	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1259	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1260	C₂×C₂²⋊C₄	—	2	1	no	—
1261	C₂×C₂²⋊C₄	—	2	1	no	—
1262	C₂×C₂²⋊C₄	—	2	1	no	—
1263	C₂×C₂²⋊C₄	—	2	1	no	—
1264	C₂×C₂²⋊C₄	C₇×D₄	1	1	yes	characteristic
1265	C₂×C₂²⋊C₄	C₇×D₄	1	1	yes	characteristic
1266	C₂×C₄²	—	2	1	no	—
1267	C₂×C₄²	—	2	1	no	—
1268	C₂×C₄²	—	2	1	no	—
1269	C₂×C₄²	—	2	1	no	—
1270	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1271	#107	C₂³×C₇	1	1	yes	characteristic
1272	#107	C₂³×C₇	1	1	yes	characteristic
1273	#107	C₂³×C₇	1	1	yes	characteristic
1274	#107	C₂³×C₇	1	1	yes	characteristic
1275	#107	C₂³×C₇	1	1	yes	characteristic
1276	#107	C₂³×C₇	1	1	yes	characteristic
1277	#106	C₂³×C₇	1	1	yes	characteristic
1278	#106	C₂³×C₇	1	1	yes	characteristic
1279	#106	C₂³×C₇	1	1	yes	characteristic
1280	#106	C₂³×C₇	1	1	yes	characteristic
1281	#106	C₂³×C₇	1	1	yes	characteristic
1282	#106	C₂³×C₇	1	1	yes	characteristic
1283	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1284	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1285	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1286	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1287	#103	C₂³×C₇	1	1	yes	characteristic
1288	#103	C₂³×C₇	1	1	yes	characteristic
1289	#103	C₂³×C₇	1	1	yes	characteristic
1290	#103	C₂³×C₇	1	1	yes	characteristic
1291	#103	C₂³×C₇	1	1	yes	characteristic
1292	#103	C₂³×C₇	1	1	yes	characteristic
1293	#103	C₂³×C₇	1	1	yes	characteristic
1294	#103	C₂³×C₇	1	1	yes	characteristic
1295	#103	C₂³×C₇	1	1	yes	characteristic
1296	#103	C₂³×C₇	1	1	yes	characteristic
1297	#103	C₂³×C₇	1	1	yes	characteristic
1298	#103	C₂³×C₇	1	1	yes	characteristic
1299	#103	C₂³×C₇	1	1	yes	characteristic
1300	#103	C₂³×C₇	1	1	yes	characteristic
1301	#103	C₂³×C₇	1	1	yes	characteristic
1302	#103	C₂³×C₇	1	1	yes	characteristic
1303	#103	C₂³×C₇	1	1	yes	characteristic
1304	#103	C₂³×C₇	1	1	yes	characteristic
1305	#103	C₂³×C₇	1	1	yes	characteristic
1306	#103	C₂³×C₇	1	1	yes	characteristic
1307	#102	C₂³×C₇	1	1	yes	characteristic
1308	#102	C₂³×C₇	1	1	yes	characteristic
1309	#102	C₂³×C₇	1	1	yes	characteristic
1310	#102	C₂³×C₇	1	1	yes	characteristic
1311	#102	C₂³×C₇	1	1	yes	characteristic
1312	#102	C₂³×C₇	1	1	yes	characteristic
1313	#102	C₂³×C₇	1	1	yes	characteristic
1314	#102	C₂³×C₇	1	1	yes	characteristic
1315	#102	C₂³×C₇	1	1	yes	characteristic
1316	#102	C₂³×C₇	1	1	yes	characteristic
1317	#102	C₂³×C₇	1	1	yes	characteristic
1318	#102	C₂³×C₇	1	1	yes	characteristic
1319	#102	C₂³×C₇	1	1	yes	characteristic
1320	#102	C₂³×C₇	1	1	yes	characteristic
1321	#102	C₂³×C₇	1	1	yes	characteristic
1322	#102	C₂³×C₇	1	1	yes	characteristic
1323	#102	C₂³×C₇	1	1	yes	characteristic
1324	#102	C₂³×C₇	1	1	yes	characteristic
1325	#102	C₂³×C₇	1	1	yes	characteristic
1326	#102	C₂³×C₇	1	1	yes	characteristic
1327	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1328	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1329	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1330	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1331	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1332	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1333	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1334	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1335	#97	C₂³×C₇	1	1	yes	characteristic
1336	#97	C₂³×C₇	1	1	yes	characteristic
1337	#97	C₂³×C₇	1	1	yes	characteristic
1338	#97	C₂³×C₇	1	1	yes	characteristic
1339	C₂²×C₇	—	2	1	no	—
1340	C₂²×C₇	—	2	1	no	—
1341	C₂²×C₇	—	2	1	no	—
1342	C₂²×C₇	—	2	1	no	—
1343	C₂²×C₇	—	2	1	no	—
1344	C₂²×C₇	—	2	1	no	—
1345	C₂²×C₇	—	2	1	no	—
1346	C₂²×C₇	—	2	1	no	—
1347	C₂²×C₇	—	2	1	no	—
1348	C₂²×C₇	—	2	1	no	—
1349	C₂²×C₇	—	2	2	no	—
1350	C₂²×C₇	—	2	1	no	—
1351	C₂²×C₇	—	2	1	no	—
1352	C₂²×C₇	—	2	1	no	—
1353	C₂²×C₇	—	4	4	no	—
1354	C₂²×C₇	—	4	1	no	—
1355	C₂²×C₇	—	4	1	no	—
1356	C₂²×C₇	—	4	1	no	—
1357	C₂²×C₇	—	4	1	no	—
1358	C₂²×C₇	—	4	1	no	—
1359	C₂²×C₇	—	4	1	no	—
1360	C₂²×C₇	—	4	1	no	—
1361	C₂²×C₇	—	4	1	no	—
1362	C₂²×C₇	—	4	1	no	—
1363	C₂²×C₇	—	4	1	no	—
1364	C₂²×C₇	—	4	1	no	—
1365	C₂²×C₇	—	8	2	no	—
1366	C₂²×C₇	—	8	4	no	—
1367	C₂²×C₇	—	8	4	no	—
1368	C₂²×C₇	#546	1	2	yes	—
1369	C₂²×C₇	#575	1	2	yes	—
1370	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1371	C₄×C₇	—	2	1	no	—
1372	C₄×C₇	—	2	1	no	—
1373	C₄×C₇	—	2	1	no	—
1374	C₄×C₇	—	2	1	no	—
1375	C₄×C₇	—	2	1	no	—
1376	C₄×C₇	—	2	1	no	—
1377	C₄×C₇	—	2	2	no	—
1378	C₄×C₇	—	2	1	no	—
1379	C₄×C₇	—	2	1	no	—
1380	C₄×C₇	—	4	1	no	—
1381	C₄×C₇	—	4	1	no	—
1382	C₄×C₇	—	4	1	no	—
1383	C₄×C₇	—	4	1	no	—
1384	C₄×C₇	—	4	1	no	—
1385	C₄×C₇	—	4	1	no	—
1386	C₄×C₇	—	4	1	no	—
1387	C₄×C₇	—	4	1	no	—
1388	C₄×C₇	—	4	1	no	—
1389	C₄×C₇	—	4	1	no	—
1390	C₄×C₇	—	4	1	no	—
1391	C₄×C₇	#546	1	2	yes	—
1392	C₄×C₇	C₂²×#41	1	1	yes	characteristic
1393	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1394	C₂⁴	—	2	1	no	—
1395	C₂⁴	—	2	1	no	—
1396	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
1397	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
1398	#41	—	2	2	no	—
1399	#41	—	2	2	no	—
1400	#41	—	2	2	no	—
1401	#41	—	2	2	no	—
1402	#41	—	2	2	no	—
1403	#41	—	2	2	no	—
1404	#41	—	2	2	no	—
1405	#41	—	2	2	no	—
1406	#41	—	2	2	no	—
1407	#41	—	2	2	no	—
1408	#41	—	2	2	no	—
1409	#41	—	4	4	no	—
1410	#41	—	4	4	no	—
1411	#41	—	4	1	no	—
1412	#41	—	4	1	no	—
1413	#41	—	4	1	no	—
1414	#41	—	4	1	no	—
1415	#41	—	4	4	no	—
1416	#41	—	4	4	no	—
1417	#41	—	4	4	no	—
1418	#41	C₇×#41	1	4	yes	complemented
1419	C₂×Q₈	—	2	1	no	—
1420	C₂×Q₈	—	2	1	no	—
1421	C₂×Q₈	—	2	1	no	—
1422	C₂×Q₈	—	2	1	no	—
1423	C₂×Q₈	—	2	2	no	—
1424	C₂×Q₈	—	2	2	no	—
1425	C₂×Q₈	—	4	1	no	—
1426	C₂×Q₈	—	4	1	no	—
1427	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1428	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1429	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1430	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1431	C₂×D₄	—	2	1	no	—
1432	C₂×D₄	—	2	2	no	—
1433	C₂×D₄	—	2	2	no	—
1434	C₂×D₄	—	2	1	no	—
1435	C₂×D₄	—	2	1	no	—
1436	C₂×D₄	—	2	1	no	—
1437	C₂×D₄	—	2	1	no	—
1438	C₂×D₄	—	2	1	no	—
1439	C₂×D₄	—	2	1	no	—
1440	C₂×D₄	—	2	1	no	—
1441	C₂×D₄	—	2	1	no	—
1442	C₂×D₄	—	2	1	no	—
1443	C₂×D₄	—	2	1	no	—
1444	C₂×D₄	—	2	1	no	—
1445	C₂×D₄	—	2	1	no	—
1446	C₂×D₄	—	2	1	no	—
1447	C₂×D₄	—	2	1	no	—
1448	C₂×D₄	—	2	1	no	—
1449	C₂×D₄	—	2	1	no	—
1450	C₂×D₄	—	2	1	no	—
1451	C₂×D₄	—	2	1	no	—
1452	C₂×D₄	—	2	1	no	—
1453	C₂×D₄	—	4	1	no	—
1454	C₂×D₄	—	4	1	no	—
1455	C₂×D₄	—	4	2	no	—
1456	C₂×D₄	—	4	4	no	—
1457	C₂×D₄	—	4	4	no	—
1458	C₂×D₄	—	4	4	no	—
1459	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1460	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1461	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1462	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1463	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1464	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1465	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1466	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1467	C₂²×C₄	—	2	1	no	—
1468	C₂²×C₄	—	2	2	no	—
1469	C₂²×C₄	—	2	2	no	—
1470	C₂²×C₄	—	2	2	no	—
1471	C₂²×C₄	—	2	2	no	—
1472	C₂²×C₄	—	2	1	no	—
1473	C₂²×C₄	—	2	1	no	—
1474	C₂²×C₄	—	2	1	no	—
1475	C₂²×C₄	—	2	1	no	—
1476	C₂²×C₄	—	2	1	no	—
1477	C₂²×C₄	—	2	1	no	—
1478	C₂²×C₄	—	2	1	no	—
1479	C₂²×C₄	—	2	1	no	—
1480	C₂²×C₄	—	2	1	no	—
1481	C₂²×C₄	—	2	1	no	—
1482	C₂²×C₄	—	2	1	no	—
1483	C₂²×C₄	—	2	1	no	—
1484	C₂²×C₄	—	2	1	no	—
1485	C₂²×C₄	—	2	1	no	—
1486	C₂²×C₄	—	2	1	no	—
1487	C₂²×C₄	—	2	1	no	—
1488	C₂²×C₄	—	2	1	no	—
1489	C₂²×C₄	—	4	4	no	—
1490	C₂²×C₄	—	4	4	no	—
1491	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1492	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1493	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1494	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1495	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1496	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1497	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1498	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1499	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1500	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1501	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1502	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1503	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1504	Q₁₆	—	2	2	no	—
1505	Q₁₆	—	4	1	no	—
1506	Q₁₆	—	4	1	no	—
1507	SD₁₆	—	2	2	no	—
1508	SD₁₆	—	2	2	no	—
1509	SD₁₆	—	4	1	no	—
1510	SD₁₆	—	4	1	no	—
1511	SD₁₆	—	4	1	no	—
1512	SD₁₆	—	4	1	no	—
1513	D₈	—	2	2	no	—
1514	D₈	—	4	1	no	—
1515	D₈	—	4	1	no	—
1516	M₁₆	—	4	1	no	—
1517	M₁₆	—	4	1	no	—
1518	M₁₆	—	4	1	no	—
1519	M₁₆	—	4	1	no	—
1520	C₂×C₈	—	2	2	no	—
1521	C₂×C₈	—	2	2	no	—
1522	C₂×C₈	—	2	2	no	—
1523	C₂×C₈	—	2	2	no	—
1524	C₂×C₈	—	4	1	no	—
1525	C₂×C₈	—	4	1	no	—
1526	C₂×C₈	—	4	1	no	—
1527	C₂×C₈	—	4	1	no	—
1528	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1529	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1530	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1531	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1532	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1533	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1534	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1535	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1536	C₄⋊C₄	—	2	1	no	—
1537	C₄⋊C₄	—	2	1	no	—
1538	C₄⋊C₄	—	2	1	no	—
1539	C₄⋊C₄	—	2	1	no	—
1540	C₄⋊C₄	—	2	1	no	—
1541	C₄⋊C₄	—	2	1	no	—
1542	C₄⋊C₄	—	2	1	no	—
1543	C₄⋊C₄	—	2	1	no	—
1544	C₄⋊C₄	—	2	1	no	—
1545	C₄⋊C₄	—	2	1	no	—
1546	C₄⋊C₄	—	2	1	no	—
1547	C₄⋊C₄	—	2	1	no	—
1548	C₄⋊C₄	—	2	1	no	—
1549	C₄⋊C₄	—	2	1	no	—
1550	C₄⋊C₄	—	2	1	no	—
1551	C₄⋊C₄	—	2	1	no	—
1552	C₄⋊C₄	—	2	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	—	2	1	no	—
1556	C₄⋊C₄	—	2	1	no	—
1557	C₄⋊C₄	—	2	1	no	—
1558	C₄⋊C₄	—	2	1	no	—
1559	C₄⋊C₄	—	2	1	no	—
1560	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1561	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1562	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1563	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1564	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1565	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1566	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1567	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1568	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1569	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1570	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1571	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	2	1	no	—
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	—	2	1	no	—
1576	C₂²⋊C₄	—	2	1	no	—
1577	C₂²⋊C₄	—	2	1	no	—
1578	C₂²⋊C₄	—	2	1	no	—
1579	C₂²⋊C₄	—	2	1	no	—
1580	C₂²⋊C₄	—	2	1	no	—
1581	C₂²⋊C₄	—	2	1	no	—
1582	C₂²⋊C₄	—	2	1	no	—
1583	C₂²⋊C₄	—	2	1	no	—
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	2	1	no	—
1602	C₂²⋊C₄	—	2	1	no	—
1603	C₂²⋊C₄	—	2	1	no	—
1604	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1605	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1606	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1607	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1608	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1609	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1610	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1611	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1612	C₄²	—	2	1	no	—
1613	C₄²	—	2	1	no	—
1614	C₄²	—	2	1	no	—
1615	C₄²	—	2	1	no	—
1616	C₄²	—	2	1	no	—
1617	C₄²	—	2	1	no	—
1618	C₄²	—	2	1	no	—
1619	C₄²	—	2	1	no	—
1620	C₄²	—	2	1	no	—
1621	C₄²	—	2	1	no	—
1622	C₄²	—	2	1	no	—
1623	C₄²	—	2	1	no	—
1624	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1625	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1626	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1627	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1628	C₂×C₇	—	2	2	no	—
1629	C₂×C₇	—	2	2	no	—
1630	C₂×C₇	—	4	1	no	—
1631	C₂×C₇	—	4	1	no	—
1632	C₂×C₇	—	4	1	no	—
1633	C₂×C₇	—	4	2	no	—
1634	C₂×C₇	—	8	1	no	—
1635	C₂×C₇	—	8	1	no	—
1636	C₂×C₇	—	8	1	no	—
1637	C₂×C₇	C₂×#546	1	1	yes	characteristic
1638	C₂×C₇	C₂×#575	1	1	yes	characteristic
1639	C₂×C₇	#3584	1	1	yes	characteristic
1640	C₂³	—	2	1	no	—
1641	C₂³	—	2	2	no	—
1642	C₂³	—	2	2	no	—
1643	C₂³	—	2	2	no	—
1644	C₂³	—	2	1	no	—
1645	C₂³	—	2	1	no	—
1646	C₂³	—	2	1	no	—
1647	C₂³	—	4	1	no	—
1648	C₂³	—	4	1	no	—
1649	C₂³	—	4	1	no	—
1650	C₂³	—	4	2	no	—
1651	C₂³	—	4	2	no	—
1652	C₂³	—	4	2	no	—
1653	C₂³	—	4	2	no	—
1654	C₂³	—	8	1	no	—
1655	C₂³	—	8	1	no	—
1656	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1657	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1658	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1659	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1660	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1661	Q₈	—	2	1	no	—
1662	Q₈	—	2	1	no	—
1663	Q₈	—	2	1	no	—
1664	Q₈	—	2	1	no	—
1665	Q₈	—	2	1	no	—
1666	Q₈	—	2	1	no	—
1667	Q₈	—	2	1	no	—
1668	Q₈	—	4	2	no	—
1669	Q₈	—	4	2	no	—
1670	Q₈	—	4	2	no	—
1671	Q₈	—	8	1	no	—
1672	Q₈	C₂×C₇×#41	1	2	yes	—
1673	D₄	—	2	4	no	—
1674	D₄	—	2	2	no	—
1675	D₄	—	2	2	no	—
1676	D₄	—	2	1	no	—
1677	D₄	—	2	1	no	—
1678	D₄	—	2	1	no	—
1679	D₄	—	2	1	no	—
1680	D₄	—	2	1	no	—
1681	D₄	—	2	1	no	—
1682	D₄	—	2	1	no	—
1683	D₄	—	4	1	no	—
1684	D₄	—	4	1	no	—
1685	D₄	—	4	2	no	—
1686	D₄	—	4	2	no	—
1687	D₄	—	4	2	no	—
1688	D₄	—	4	2	no	—
1689	D₄	—	4	2	no	—
1690	D₄	—	4	2	no	—
1691	D₄	—	4	2	no	—
1692	D₄	—	4	2	no	—
1693	D₄	—	4	2	no	—
1694	D₄	—	4	2	no	—
1695	D₄	—	4	2	no	—
1696	D₄	—	4	2	no	—
1697	D₄	—	4	2	no	—
1698	D₄	—	4	2	no	—
1699	D₄	—	8	1	no	—
1700	D₄	—	8	1	no	—
1701	D₄	—	8	1	no	—
1702	D₄	—	8	1	no	—
1703	D₄	—	8	1	no	—
1704	D₄	C₂×C₇×#41	1	2	yes	—
1705	C₂×C₄	—	2	1	no	—
1706	C₂×C₄	—	2	2	no	—
1707	C₂×C₄	—	2	2	no	—
1708	C₂×C₄	—	2	1	no	—
1709	C₂×C₄	—	2	1	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	2	no	—
1717	C₂×C₄	—	2	2	no	—
1718	C₂×C₄	—	2	2	no	—
1719	C₂×C₄	—	2	2	no	—
1720	C₂×C₄	—	2	4	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	4	1	no	—
1733	C₂×C₄	—	4	1	no	—
1734	C₂×C₄	—	4	2	no	—
1735	C₂×C₄	—	4	2	no	—
1736	C₂×C₄	—	4	2	no	—
1737	C₂×C₄	—	4	2	no	—
1738	C₂×C₄	—	4	2	no	—
1739	C₂×C₄	—	4	2	no	—
1740	C₂×C₄	—	4	2	no	—
1741	C₂×C₄	—	4	2	no	—
1742	C₂×C₄	—	4	2	no	—
1743	C₂×C₄	—	4	2	no	—
1744	C₂×C₄	—	4	2	no	—
1745	C₂×C₄	—	4	2	no	—
1746	C₂×C₄	—	4	2	no	—
1747	C₂×C₄	—	8	1	no	—
1748	C₂×C₄	—	8	1	no	—
1749	C₂×C₄	—	8	1	no	—
1750	C₂×C₄	—	8	1	no	—
1751	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1752	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1753	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1754	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1755	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1756	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1757	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1758	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1759	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1760	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1761	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1762	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1763	C₈	—	2	1	no	—
1764	C₈	—	2	1	no	—
1765	C₈	—	2	1	no	—
1766	C₈	—	2	1	no	—
1767	C₈	—	2	1	no	—
1768	C₈	—	2	1	no	—
1769	C₈	—	2	1	no	—
1770	C₈	—	2	1	no	—
1771	C₇	#61141	1	1	yes	characteristic, direct product factor, Sylow
1772	C₂²	—	2	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	2	1	no	—
1777	C₂²	—	2	1	no	—
1778	C₂²	—	2	1	no	—
1779	C₂²	—	2	1	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	2	1	no	—
1785	C₂²	—	2	2	no	—
1786	C₂²	—	4	4	no	—
1787	C₂²	—	4	1	no	—
1788	C₂²	—	4	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	4	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	4	1	no	—
1798	C₂²	—	8	2	no	—
1799	C₂²	—	8	4	no	—
1800	C₂²	—	8	4	no	—
1801	C₂²	C₇×#546	1	2	yes	—
1802	C₂²	C₇×#575	1	2	yes	—
1803	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1804	C₄	—	2	1	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	2	1	no	—
1807	C₄	—	2	1	no	—
1808	C₄	—	2	1	no	—
1809	C₄	—	2	1	no	—
1810	C₄	—	2	1	no	—
1811	C₄	—	2	1	no	—
1812	C₄	—	2	2	no	—
1813	C₄	—	4	1	no	—
1814	C₄	—	4	1	no	—
1815	C₄	—	4	1	no	—
1816	C₄	—	4	1	no	—
1817	C₄	—	4	1	no	—
1818	C₄	—	4	1	no	—
1819	C₄	—	4	1	no	—
1820	C₄	—	4	1	no	—
1821	C₄	—	4	1	no	—
1822	C₄	—	4	1	no	—
1823	C₄	—	4	1	no	—
1824	C₄	C₇×#546	1	2	yes	—
1825	C₄	C₂²×C₇×#41	1	1	yes	characteristic
1826	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1827	C₂	—	2	2	no	—
1828	C₂	—	2	2	no	—
1829	C₂	—	4	1	no	—
1830	C₂	—	4	1	no	—
1831	C₂	—	4	1	no	—
1832	C₂	—	4	2	no	—
1833	C₂	—	8	1	no	—
1834	C₂	—	8	1	no	—
1835	C₂	—	8	1	no	—
1836	C₂	C₂×C₇×#546	1	1	yes	characteristic
1837	C₂	C₂×C₇×#575	1	1	yes	characteristic
1838	C₂	C₇×#3584	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₇	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
socle	C₂²×C₇	C₂³×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×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. C₇×D₄×#41	C₂	semidirect
3. C₇×#3321	C₂	semidirect
4. C₇×#3320	C₂	semidirect
5. C₇×#3319	C₂	semidirect
6. C₇×#3318	C₂	semidirect
7. C₇×#3317	C₂	semidirect
8. C₇×#3316	C₂	semidirect
9. C₇×#3315	C₂	semidirect
10. C₇×#3314	C₂	semidirect
11. C₇×#3313	C₂	semidirect
12. C₇×#3312	C₂	semidirect
13. C₇×#3311	C₂	semidirect
14. C₇×#3310	C₂	semidirect
15. C₇×#3309	C₂	semidirect
16. C₇×#3308	C₂	semidirect
17. C₇×#3307	C₂	semidirect
18. C₇×#3306	C₂	semidirect
19. C₇×#3135	C₂	semidirect
20. C₇×#3091	C₂	semidirect
21. C₇×#3091	C₂	semidirect
22. C₇×#3076	C₂	semidirect
23. C₇×#3054	C₂	semidirect
24. C₇×#3050	C₂	semidirect
25. C₇×#3035	C₂	semidirect
26. C₇×#3002	C₂	semidirect
27. C₇×#3002	C₂	semidirect
28. C₇×#2943	C₂	semidirect
29. C₂×C₇×#435	C₂	semidirect
30. C₇×#2896	C₂	semidirect
31. C₂×C₇×#416	C₂	semidirect
35. C₂×C₇×#135	C₂²	semidirect
36. C₂×C₇×#135	C₂²	semidirect
37. C₂²×C₇×M₁₆	C₂²	semidirect
38. C₂³×C₇×C₈	C₂²	semidirect
39. C₇×#556	C₂²	semidirect
40. C₇×#555	C₂²	semidirect
41. C₇×#554	C₂²	semidirect
43. C₇×#553	C₂²	semidirect
46. C₇×#552	C₂²	semidirect
55. C₇×#547	C₂²	semidirect
63. C₇×#533	C₂²	semidirect
73. C₇×#525	C₂²	semidirect
74. C₇×#525	C₂²	semidirect
77. C₄×C₇×#41	C₂²	semidirect
80. C₂×C₇×#117	C₂²	semidirect
81. C₂×C₇×#117	C₂²	semidirect
82. C₇×#491	C₂²	semidirect
83. C₇×#491	C₂²	semidirect
84. C₇×#490	C₂²	semidirect
85. C₇×#490	C₂²	semidirect
86. C₇×#489	C₂²	semidirect
87. C₇×#489	C₂²	semidirect
88. C₇×#489	C₂²	semidirect
89. C₇×#489	C₂²	semidirect
90. C₇×#485	C₂²	semidirect
91. C₇×#485	C₂²	semidirect
92. C₇×#485	C₂²	semidirect
93. C₇×#485	C₂²	semidirect
94. C₇×#484	C₂²	semidirect
95. C₇×#484	C₂²	semidirect
96. C₇×#483	C₂²	semidirect
97. C₇×#483	C₂²	semidirect
98. C₇×#482	C₂²	semidirect
99. C₇×#482	C₂²	semidirect
100. C₇×#482	C₂²	semidirect
101. C₇×#482	C₂²	semidirect
102. C₇×#481	C₂²	semidirect
103. C₇×#481	C₂²	semidirect
104. C₇×#480	C₂²	semidirect
105. C₇×#480	C₂²	semidirect
106. C₇×#479	C₂²	semidirect
107. C₇×#479	C₂²	semidirect
108. C₇×#478	C₂²	semidirect
109. C₇×#478	C₂²	semidirect
110. C₇×#477	C₂²	semidirect
111. C₇×#476	C₂²	semidirect
112. C₇×#475	C₂²	semidirect
113. C₇×#474	C₂²	semidirect
114. C₇×#470	C₂²	semidirect
115. C₇×#470	C₂²	semidirect
116. C₇×#469	C₂²	semidirect
117. C₇×#469	C₂²	semidirect
118. C₇×#468	C₂²	semidirect
119. C₇×#468	C₂²	semidirect
120. C₇×#468	C₂²	semidirect
121. C₇×#468	C₂²	semidirect
122. C₇×#467	C₂²	semidirect
123. C₇×#467	C₂²	semidirect
124. C₇×#466	C₂²	semidirect
125. C₇×#466	C₂²	semidirect
126. C₇×#465	C₂²	semidirect
127. C₇×#465	C₂²	semidirect
128. C₇×#465	C₂²	semidirect
129. C₇×#465	C₂²	semidirect
130. C₇×#464	C₂²	semidirect
131. C₇×#464	C₂²	semidirect
132. C₇×#463	C₂²	semidirect
133. C₇×#463	C₂²	semidirect
134. C₇×#462	C₂²	semidirect
135. C₇×#461	C₂²	semidirect
136. C₇×#460	C₂²	semidirect
137. C₇×#459	C₂²	semidirect
138. C₇×#452	C₂²	semidirect
139. C₇×#452	C₂²	semidirect
140. C₇×#452	C₂²	semidirect
141. C₇×#452	C₂²	semidirect
142. C₇×#451	C₂²	semidirect
143. C₇×#451	C₂²	semidirect
144. C₇×#450	C₂²	semidirect
145. C₇×#450	C₂²	semidirect
146. C₇×#449	C₂²	semidirect
147. C₇×#449	C₂²	semidirect
148. C₇×#449	C₂²	semidirect
149. C₇×#449	C₂²	semidirect
150. C₇×#448	C₂²	semidirect
151. C₇×#448	C₂²	semidirect
152. C₇×#447	C₂²	semidirect
153. C₇×#447	C₂²	semidirect
154. C₇×#442	C₂²	semidirect
155. C₇×#442	C₂²	semidirect
156. C₇×#441	C₂²	semidirect
157. C₇×#441	C₂²	semidirect
158. C₇×#440	C₂²	semidirect
159. C₇×#440	C₂²	semidirect
160. C₇×#440	C₂²	semidirect
161. C₇×#440	C₂²	semidirect
164. C₇×#435	C₂²	semidirect
165. C₇×#435	C₂²	semidirect
166. C₇×#435	C₂²	semidirect
167. C₇×#435	C₂²	semidirect
168. C₇×#435	C₂²	semidirect
169. C₇×#435	C₂²	semidirect
170. C₇×#427	C₂²	semidirect
171. C₇×#427	C₂²	semidirect
172. C₇×#427	C₂²	semidirect
173. C₂×C₇×C₄⋊C₈	C₂²	semidirect
174. C₇×#419	C₂²	semidirect
175. C₇×#419	C₂²	semidirect
176. C₇×#418	C₂²	semidirect
177. C₇×#418	C₂²	semidirect
178. C₇×#417	C₂²	semidirect
179. C₇×#417	C₂²	semidirect
180. C₇×#417	C₂²	semidirect
181. C₇×#417	C₂²	semidirect
185. C₇×#416	C₂²	semidirect
186. C₇×#416	C₂²	semidirect
187. C₇×#416	C₂²	semidirect
188. C₇×#416	C₂²	semidirect
189. C₇×#416	C₂²	semidirect
190. C₇×#416	C₂²	semidirect
191. C₇×#416	C₂²	semidirect
192. C₇×#416	C₂²	semidirect
193. C₇×#416	C₂²	semidirect
194. C₇×#416	C₂²	semidirect
195. C₇×#416	C₂²	semidirect
196. C₂×C₇×#103	C₂²	semidirect
197. C₂×C₇×#103	C₂²	semidirect
198. C₂×C₇×#102	C₂²	semidirect
199. C₂×C₇×#102	C₂²	semidirect
200. C₂×C₇×C₂²⋊C₈	C₂²	semidirect
201. C₂×C₇×C₂²⋊C₈	C₂²	semidirect
202. C₂×C₇×#97	C₂²	semidirect
203. #61141	C₇	direct (N × H)
488. #3475	C₂×C₇	semidirect
489. D₄×#41	C₂×C₇	semidirect
490. #3321	C₂×C₇	semidirect
491. #3320	C₂×C₇	semidirect
492. #3319	C₂×C₇	semidirect
493. #3318	C₂×C₇	semidirect
494. #3317	C₂×C₇	semidirect
495. #3316	C₂×C₇	semidirect
496. #3315	C₂×C₇	semidirect
497. #3314	C₂×C₇	semidirect
498. #3313	C₂×C₇	semidirect
499. #3312	C₂×C₇	semidirect
500. #3311	C₂×C₇	semidirect
501. #3310	C₂×C₇	semidirect
502. #3309	C₂×C₇	semidirect
503. #3308	C₂×C₇	semidirect
504. #3307	C₂×C₇	semidirect
505. #3306	C₂×C₇	semidirect
506. #3135	C₂×C₇	semidirect
507. #3091	C₂×C₇	semidirect
508. #3091	C₂×C₇	semidirect
509. #3076	C₂×C₇	semidirect
510. #3054	C₂×C₇	semidirect
511. #3050	C₂×C₇	semidirect
512. #3035	C₂×C₇	semidirect
513. #3002	C₂×C₇	semidirect
514. #3002	C₂×C₇	semidirect
515. #2943	C₂×C₇	semidirect
516. C₂×#435	C₂×C₇	semidirect
517. #2896	C₂×C₇	semidirect
518. C₂×#416	C₂×C₇	semidirect
543. C₇×#41	#41	semidirect
756. C₂×#135	C₂²×C₇	semidirect
757. C₂×#135	C₂²×C₇	semidirect
758. C₂²×M₁₆	C₂²×C₇	semidirect
759. C₂³×C₈	C₂²×C₇	semidirect
760. #556	C₂²×C₇	semidirect
761. #555	C₂²×C₇	semidirect
762. #554	C₂²×C₇	semidirect
764. #553	C₂²×C₇	semidirect
767. #552	C₂²×C₇	semidirect
776. #547	C₂²×C₇	semidirect
784. #533	C₂²×C₇	semidirect
794. #525	C₂²×C₇	semidirect
795. #525	C₂²×C₇	semidirect
798. C₄×#41	C₂²×C₇	semidirect
801. C₂×#117	C₂²×C₇	semidirect
802. C₂×#117	C₂²×C₇	semidirect
803. #491	C₂²×C₇	semidirect
804. #491	C₂²×C₇	semidirect
805. #490	C₂²×C₇	semidirect
806. #490	C₂²×C₇	semidirect
807. #489	C₂²×C₇	semidirect
808. #489	C₂²×C₇	semidirect
809. #489	C₂²×C₇	semidirect
810. #489	C₂²×C₇	semidirect
811. #485	C₂²×C₇	semidirect
812. #485	C₂²×C₇	semidirect
813. #485	C₂²×C₇	semidirect
814. #485	C₂²×C₇	semidirect
815. #484	C₂²×C₇	semidirect
816. #484	C₂²×C₇	semidirect
817. #483	C₂²×C₇	semidirect
818. #483	C₂²×C₇	semidirect
819. #482	C₂²×C₇	semidirect
820. #482	C₂²×C₇	semidirect
821. #482	C₂²×C₇	semidirect
822. #482	C₂²×C₇	semidirect
823. #481	C₂²×C₇	semidirect
824. #481	C₂²×C₇	semidirect
825. #480	C₂²×C₇	semidirect
826. #480	C₂²×C₇	semidirect
827. #479	C₂²×C₇	semidirect
828. #479	C₂²×C₇	semidirect
829. #478	C₂²×C₇	semidirect
830. #478	C₂²×C₇	semidirect
831. #477	C₂²×C₇	semidirect
832. #476	C₂²×C₇	semidirect
833. #475	C₂²×C₇	semidirect
834. #474	C₂²×C₇	semidirect
835. #470	C₂²×C₇	semidirect
836. #470	C₂²×C₇	semidirect
837. #469	C₂²×C₇	semidirect
838. #469	C₂²×C₇	semidirect
839. #468	C₂²×C₇	semidirect
840. #468	C₂²×C₇	semidirect
841. #468	C₂²×C₇	semidirect
842. #468	C₂²×C₇	semidirect
843. #467	C₂²×C₇	semidirect
844. #467	C₂²×C₇	semidirect
845. #466	C₂²×C₇	semidirect
846. #466	C₂²×C₇	semidirect
847. #465	C₂²×C₇	semidirect
848. #465	C₂²×C₇	semidirect
849. #465	C₂²×C₇	semidirect
850. #465	C₂²×C₇	semidirect
851. #464	C₂²×C₇	semidirect
852. #464	C₂²×C₇	semidirect
853. #463	C₂²×C₇	semidirect
854. #463	C₂²×C₇	semidirect
855. #462	C₂²×C₇	semidirect
856. #461	C₂²×C₇	semidirect
857. #460	C₂²×C₇	semidirect
858. #459	C₂²×C₇	semidirect
859. #452	C₂²×C₇	semidirect
860. #452	C₂²×C₇	semidirect
861. #452	C₂²×C₇	semidirect
862. #452	C₂²×C₇	semidirect
863. #451	C₂²×C₇	semidirect
864. #451	C₂²×C₇	semidirect
865. #450	C₂²×C₇	semidirect
866. #450	C₂²×C₇	semidirect
867. #449	C₂²×C₇	semidirect
868. #449	C₂²×C₇	semidirect
869. #449	C₂²×C₇	semidirect
870. #449	C₂²×C₇	semidirect
871. #448	C₂²×C₇	semidirect
872. #448	C₂²×C₇	semidirect
873. #447	C₂²×C₇	semidirect
874. #447	C₂²×C₇	semidirect
875. #442	C₂²×C₇	semidirect
876. #442	C₂²×C₇	semidirect
877. #441	C₂²×C₇	semidirect
878. #441	C₂²×C₇	semidirect
879. #440	C₂²×C₇	semidirect
880. #440	C₂²×C₇	semidirect
881. #440	C₂²×C₇	semidirect
882. #440	C₂²×C₇	semidirect
885. #435	C₂²×C₇	semidirect
886. #435	C₂²×C₇	semidirect
887. #435	C₂²×C₇	semidirect
888. #435	C₂²×C₇	semidirect
889. #435	C₂²×C₇	semidirect
890. #435	C₂²×C₇	semidirect
891. #427	C₂²×C₇	semidirect
892. #427	C₂²×C₇	semidirect
893. #427	C₂²×C₇	semidirect
894. C₂×C₄⋊C₈	C₂²×C₇	semidirect
895. #419	C₂²×C₇	semidirect
896. #419	C₂²×C₇	semidirect
897. #418	C₂²×C₇	semidirect
898. #418	C₂²×C₇	semidirect
899. #417	C₂²×C₇	semidirect
900. #417	C₂²×C₇	semidirect
901. #417	C₂²×C₇	semidirect
902. #417	C₂²×C₇	semidirect
906. #416	C₂²×C₇	semidirect
907. #416	C₂²×C₇	semidirect
908. #416	C₂²×C₇	semidirect
909. #416	C₂²×C₇	semidirect
910. #416	C₂²×C₇	semidirect
911. #416	C₂²×C₇	semidirect
912. #416	C₂²×C₇	semidirect
913. #416	C₂²×C₇	semidirect
914. #416	C₂²×C₇	semidirect
915. #416	C₂²×C₇	semidirect
916. #416	C₂²×C₇	semidirect
917. C₂×#103	C₂²×C₇	semidirect
918. C₂×#103	C₂²×C₇	semidirect
919. C₂×#102	C₂²×C₇	semidirect
920. C₂×#102	C₂²×C₇	semidirect
921. C₂×C₂²⋊C₈	C₂²×C₇	semidirect
922. C₂×C₂²⋊C₈	C₂²×C₇	semidirect
923. C₂×#97	C₂²×C₇	semidirect
1418. #41	C₇×#41	semidirect
1771. C₇	#61141	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
C₇×D₄×#41	2
C₇×#3321	2
C₇×#3320	2
C₇×#3319	2
C₇×#3318	2
C₇×#3317	2
C₇×#3316	2
C₇×#3315	2
C₇×#3314	2
C₇×#3313	2
C₇×#3312	2
C₇×#3311	2
C₇×#3310	2
C₇×#3309	2
C₇×#3308	2
C₇×#3307	2
C₇×#3306	2
C₇×#3135	2
C₇×#3091	2
C₇×#3076	2
C₇×#3054	2
C₇×#3050	2
C₇×#3035	2
C₇×#3002	2
C₇×#2943	2
C₂×C₇×#435	2
C₇×#2896	2
C₂×C₇×#416	2
#61141	7

Subgroups — C7×#61141 #13238357

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61141 #13238357