Subgroups — C₇×#61164 #13238380

Order 1792.

2188 conjugacy classes of subgroups.

The subgroup lattice has 1466 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×D₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3326	C₂	1	2	yes	maximal, complemented
4	C₇×#3322	C₂	1	2	yes	maximal, complemented
5	C₇×#3320	C₂	1	2	yes	maximal, complemented
6	C₇×#3318	C₂	1	2	yes	maximal, complemented
7	C₇×#3309	C₂	1	2	yes	maximal, complemented
8	C₇×#3307	C₂	1	2	yes	maximal, complemented
9	C₇×#3301	C₂	1	2	yes	maximal, complemented
10	C₇×#3297	C₂	1	2	yes	maximal, complemented
11	C₇×#3142	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3093	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3092	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3080	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3055	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3055	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3036	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3006	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3006	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×#417	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
25	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
26	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
27	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
29	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
30	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
31	C₇×#553	—	2	1	no	—
32	C₇×#553	—	2	1	no	—
33	C₇×#553	—	2	1	no	—
34	C₇×#553	—	2	1	no	—
35	C₇×#553	C₂²	1	2	yes	—
36	C₇×#553	C₂²	1	2	yes	complemented
37	C₇×#553	C₂²	1	2	yes	complemented
38	C₇×#553	C₂²	1	2	yes	complemented
39	C₇×#550	C₂²	1	1	yes	characteristic, complemented
40	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₇×#548	C₂²	1	1	yes	characteristic, complemented
42	C₇×#548	C₂²	1	1	yes	characteristic, complemented
43	C₇×#547	—	2	1	no	—
44	C₇×#547	C₂²	1	1	yes	characteristic, complemented
45	C₇×#546	—	2	1	no	—
46	C₇×#546	—	2	1	no	—
47	C₇×#546	C₂²	1	1	yes	characteristic, complemented
48	C₇×#546	C₂²	1	1	yes	characteristic, complemented
49	C₇×D₄²	—	2	1	no	—
50	C₇×D₄²	C₂²	1	1	yes	characteristic, complemented
51	C₇×#532	—	2	1	no	—
52	C₇×#532	C₂²	1	1	yes	characteristic
53	C₂×C₇×#126	—	2	1	no	—
54	C₂×C₇×#125	C₂²	1	1	yes	characteristic, complemented
55	C₇×#525	—	2	1	no	—
56	C₇×#525	—	2	1	no	—
57	C₇×#525	C₂²	1	1	yes	characteristic
58	C₇×#525	C₂²	1	1	yes	characteristic
59	C₂×C₇×#123	—	2	1	no	—
60	C₂×C₇×#121	—	2	1	no	—
61	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
63	C₄×C₇×#41	C₂²	1	1	yes	characteristic
64	C₂×C₄×C₇×D₄	—	2	1	no	—
65	C₂×C₄×C₇×D₄	—	2	1	no	—
66	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
67	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
69	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
70	C₇×#491	C₂²	1	2	yes	complemented
71	C₇×#490	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×#479	C₂²	1	2	yes	complemented
83	C₇×#479	C₂²	1	2	yes	complemented
84	C₇×#478	C₂²	1	2	yes	complemented
85	C₇×#478	C₂²	1	2	yes	complemented
86	C₇×#469	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×#466	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×#463	C₂²	1	2	yes	complemented
95	C₇×#463	C₂²	1	2	yes	complemented
96	C₇×#461	C₂²	1	2	yes	complemented
97	C₇×#459	C₂²	1	2	yes	complemented
98	C₇×#449	C₂²	1	2	yes	complemented
99	C₇×#449	C₂²	1	2	yes	complemented
100	C₇×#449	C₂²	1	2	yes	complemented
101	C₇×#449	C₂²	1	2	yes	complemented
102	C₇×#448	C₂²	1	2	yes	complemented
103	C₇×#448	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	2	yes	complemented
119	C₇×#418	C₂²	1	1	yes	characteristic, complemented
120	C₇×#418	C₂²	1	2	yes	complemented
121	C₇×#417	C₂²	1	1	yes	characteristic
122	C₇×#417	C₂²	1	1	yes	characteristic
123	C₇×#417	C₂²	1	1	yes	characteristic
124	C₇×#417	C₂²	1	1	yes	characteristic, complemented
125	C₇×#417	C₂²	1	1	yes	characteristic, complemented
126	C₇×#417	C₂²	1	1	yes	characteristic, complemented
127	C₇×#417	C₂²	1	1	yes	characteristic, complemented
128	C₇×#417	C₂²	1	2	yes	complemented
129	C₇×#417	C₂²	1	2	yes	complemented
130	C₇×#417	C₂²	1	1	yes	characteristic, 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×#103	C₂²	1	2	yes	complemented
135	C₂×C₇×#102	C₂²	1	2	yes	complemented
136	C₇×#407	C₂²	1	1	yes	characteristic, complemented
137	C₇×#407	C₂²	1	1	yes	characteristic, complemented
138	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
139	#61164	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
140	C₂×C₇×#41	—	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	—	2	4	no	—
146	C₂×C₇×#41	—	4	2	no	—
147	C₂×C₇×#41	—	4	2	no	—
148	C₂×C₇×#41	C₂³	1	1	yes	characteristic
149	C₂×C₇×#41	C₂³	1	1	yes	characteristic
150	C₂×C₇×#41	C₂³	1	1	yes	characteristic
151	C₂×C₇×#41	C₂³	1	1	yes	characteristic
152	C₂×C₇×#41	C₂³	1	1	yes	characteristic
153	C₂×C₇×#41	C₂³	1	1	yes	characteristic
154	C₂×C₇×#41	C₂³	1	1	yes	characteristic
155	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
156	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
157	C₂²×C₇×D₄	—	2	1	no	—
158	C₂²×C₇×D₄	—	2	1	no	—
159	C₂²×C₇×D₄	—	2	1	no	—
160	C₂²×C₇×D₄	—	2	1	no	—
161	C₂²×C₇×D₄	—	2	1	no	—
162	C₂²×C₇×D₄	D₄	1	1	yes	characteristic
163	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
164	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
165	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
166	C₂³×C₄×C₇	—	2	1	no	—
167	C₂³×C₄×C₇	—	2	1	no	—
168	C₂³×C₄×C₇	—	2	1	no	—
169	C₂³×C₄×C₇	—	2	1	no	—
170	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
171	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
172	C₇×AGL(1,ℤ/8)	—	2	4	no	—
173	C₇×AGL(1,ℤ/8)	—	4	2	no	—
174	C₇×AGL(1,ℤ/8)	—	4	2	no	—
175	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
176	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
177	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
178	C₂×C₇×D₈	C₂³	1	2	yes	—
179	C₂×C₇×D₈	C₂³	1	2	yes	—
180	C₂×C₇×D₈	C₂³	1	2	yes	—
181	C₂×C₇×M₁₆	—	4	2	no	—
182	C₂×C₇×M₁₆	—	4	2	no	—
183	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
184	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
185	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
186	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
187	C₂×C₇×M₁₆	C₂³	1	2	yes	—
188	C₂×C₇×M₁₆	C₂³	1	2	yes	—
189	C₂²×C₇×C₈	C₂³	1	2	yes	—
190	C₂²×C₇×C₈	C₂³	1	2	yes	—
191	C₇×C₄⋊Q₈	—	2	1	no	—
192	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
193	C₇×#127	—	2	1	no	—
194	C₇×#127	C₂³	1	1	yes	characteristic
195	C₇×#126	—	2	2	no	—
196	C₇×#126	—	2	2	no	—
197	C₇×#126	—	2	2	no	—
198	C₇×#126	—	2	2	no	—
199	C₇×#125	—	2	1	no	—
200	C₇×#125	—	2	1	no	—
201	C₇×#125	C₂³	1	2	yes	—
202	C₇×#125	C₂³	1	2	yes	—
203	C₇×#124	—	2	1	no	—
204	C₇×#124	—	2	1	no	—
205	C₇×#124	C₂³	1	1	yes	characteristic
206	C₇×#124	C₂³	1	1	yes	characteristic
207	C₇×#123	—	2	1	no	—
208	C₇×#123	—	2	1	no	—
209	C₇×#123	—	2	1	no	—
210	C₇×#123	—	2	1	no	—
211	C₇×#123	—	2	2	no	—
212	C₇×#123	—	2	2	no	—
213	C₇×#123	—	2	2	no	—
214	C₇×#123	—	2	2	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	C₂³	1	1	yes	characteristic
222	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₇×#121	—	2	2	no	—
226	C₇×#121	—	2	2	no	—
227	C₇×#121	—	2	2	no	—
228	C₇×#121	—	2	2	no	—
229	C₇×#121	—	2	1	no	—
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	1	no	—
236	C₇×#121	—	2	1	no	—
237	C₇×#121	—	2	1	no	—
238	C₇×#121	—	2	1	no	—
239	C₇×#121	—	2	1	no	—
240	C₇×#121	—	2	1	no	—
241	C₇×#121	—	2	1	no	—
242	C₇×#121	—	2	1	no	—
243	C₇×#121	C₂³	1	1	yes	characteristic
244	C₇×#121	C₂³	1	1	yes	characteristic
245	C₇×#121	C₂³	1	2	yes	—
246	C₇×#121	C₂³	1	2	yes	—
247	C₇×#121	C₂³	1	2	yes	—
248	C₇×#121	C₂³	1	2	yes	—
249	C₇×#121	C₂³	1	1	yes	characteristic
250	C₇×#121	C₂³	1	1	yes	characteristic
251	C₇×#120	—	2	1	no	—
252	C₇×#120	—	2	1	no	—
253	C₇×#120	—	2	1	no	—
254	C₇×#120	—	2	1	no	—
255	C₇×#120	—	2	1	no	—
256	C₇×#120	—	2	1	no	—
257	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
258	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
268	C₄×C₇×D₄	—	2	1	no	—
269	C₄×C₇×D₄	—	2	2	no	—
270	C₄×C₇×D₄	—	2	2	no	—
271	C₄×C₇×D₄	—	2	2	no	—
272	C₄×C₇×D₄	—	2	2	no	—
273	C₄×C₇×D₄	—	2	1	no	—
274	C₄×C₇×D₄	—	2	1	no	—
275	C₄×C₇×D₄	—	2	1	no	—
276	C₄×C₇×D₄	—	2	1	no	—
277	C₄×C₇×D₄	D₄	1	1	yes	characteristic
278	C₄×C₇×D₄	D₄	1	1	yes	characteristic
279	C₄×C₇×D₄	D₄	1	1	yes	characteristic
280	C₄×C₇×D₄	D₄	1	1	yes	characteristic
281	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
282	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
283	C₄×C₇×D₄	C₂³	1	2	yes	—
284	C₄×C₇×D₄	C₂³	1	2	yes	—
285	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
286	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
287	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
288	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
289	C₇×#117	—	2	1	no	—
290	C₇×#117	—	2	1	no	—
291	C₇×#117	—	2	1	no	—
292	C₇×#117	C₂³	1	2	yes	—
293	C₇×#117	C₂³	1	2	yes	—
294	C₇×#117	C₂³	1	1	yes	characteristic
295	C₂×C₇×C₄⋊C₄	—	2	1	no	—
296	C₂×C₇×C₄⋊C₄	—	2	1	no	—
297	C₂×C₇×C₄⋊C₄	—	2	1	no	—
298	C₂×C₇×C₄⋊C₄	—	2	1	no	—
299	C₂×C₇×C₄⋊C₄	—	2	1	no	—
300	C₂×C₇×C₄⋊C₄	—	2	1	no	—
301	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
302	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
303	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
304	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
308	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
309	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
310	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
311	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
312	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
313	C₂×C₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
314	C₂×C₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
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	—
319	C₇×#107	C₂³	1	2	yes	—
320	C₇×#107	C₂³	1	2	yes	—
321	C₇×#106	C₂³	1	2	yes	—
322	C₇×#106	C₂³	1	2	yes	—
323	C₇×#106	C₂³	1	2	yes	—
324	C₇×C₄⋊C₈	C₂³	1	2	yes	—
325	C₇×C₄⋊C₈	C₂³	1	2	yes	—
326	C₇×#103	C₂³	1	2	yes	—
327	C₇×#103	C₂³	1	2	yes	—
328	C₇×#103	C₂³	1	2	yes	—
329	C₇×#103	C₂³	1	2	yes	—
330	C₇×#103	C₂³	1	2	yes	—
331	C₇×#103	C₂³	1	2	yes	—
332	C₇×#103	C₂³	1	2	yes	—
333	C₇×#103	C₂³	1	2	yes	—
334	C₇×#103	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	—
346	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
347	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
348	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
349	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
350	C₇×#97	C₂³	1	2	yes	—
351	C₄×C₇×C₈	C₂³	1	2	yes	—
352	C₂×#553	C₂×C₇	1	1	yes	characteristic, complemented
353	D₄×#41	C₂×C₇	1	1	yes	characteristic, complemented
354	#3326	C₂×C₇	1	2	yes	complemented
355	#3322	C₂×C₇	1	2	yes	complemented
356	#3320	C₂×C₇	1	2	yes	complemented
357	#3318	C₂×C₇	1	2	yes	complemented
358	#3309	C₂×C₇	1	2	yes	complemented
359	#3307	C₂×C₇	1	2	yes	complemented
360	#3301	C₂×C₇	1	2	yes	complemented
361	#3297	C₂×C₇	1	2	yes	complemented
362	#3142	C₂×C₇	1	1	yes	characteristic, complemented
363	#3093	C₂×C₇	1	1	yes	characteristic, complemented
364	#3092	C₂×C₇	1	1	yes	characteristic, complemented
365	#3080	C₂×C₇	1	1	yes	characteristic, complemented
366	#3055	C₂×C₇	1	1	yes	characteristic, complemented
367	#3055	C₂×C₇	1	1	yes	characteristic, complemented
368	#3036	C₂×C₇	1	1	yes	characteristic, complemented
369	#3006	C₂×C₇	1	1	yes	characteristic, complemented
370	#3006	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×#417	C₂×C₇	1	1	yes	characteristic, complemented
375	C₂⁴×C₇	—	2	1	no	—
376	C₂⁴×C₇	—	2	1	no	—
377	C₂⁴×C₇	—	2	1	no	—
378	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
379	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
380	C₇×#41	—	2	2	no	—
381	C₇×#41	—	2	2	no	—
382	C₇×#41	—	2	2	no	—
383	C₇×#41	—	2	2	no	—
384	C₇×#41	—	2	2	no	—
385	C₇×#41	—	2	2	no	—
386	C₇×#41	—	2	2	no	—
387	C₇×#41	—	2	2	no	—
388	C₇×#41	—	2	2	no	—
389	C₇×#41	—	4	4	no	—
390	C₇×#41	—	4	4	no	—
391	C₇×#41	—	4	1	no	—
392	C₇×#41	—	4	1	no	—
393	C₇×#41	—	4	1	no	—
394	C₇×#41	—	4	1	no	—
395	C₇×#41	—	4	4	no	—
396	C₇×#41	—	4	4	no	—
397	C₇×#41	#41	1	4	yes	—
398	C₂×C₇×Q₈	—	2	1	no	—
399	C₂×C₇×Q₈	—	2	1	no	—
400	C₂×C₇×Q₈	—	2	2	no	—
401	C₂×C₇×Q₈	—	2	2	no	—
402	C₂×C₇×Q₈	—	4	1	no	—
403	C₂×C₇×Q₈	—	4	1	no	—
404	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
405	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
406	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
407	C₂×C₇×D₄	—	2	1	no	—
408	C₂×C₇×D₄	—	2	2	no	—
409	C₂×C₇×D₄	—	2	2	no	—
410	C₂×C₇×D₄	—	2	1	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	1	no	—
416	C₂×C₇×D₄	—	2	1	no	—
417	C₂×C₇×D₄	—	2	1	no	—
418	C₂×C₇×D₄	—	2	1	no	—
419	C₂×C₇×D₄	—	2	1	no	—
420	C₂×C₇×D₄	—	2	1	no	—
421	C₂×C₇×D₄	—	2	1	no	—
422	C₂×C₇×D₄	—	2	2	no	—
423	C₂×C₇×D₄	—	2	2	no	—
424	C₂×C₇×D₄	—	2	1	no	—
425	C₂×C₇×D₄	—	2	1	no	—
426	C₂×C₇×D₄	—	2	1	no	—
427	C₂×C₇×D₄	—	2	1	no	—
428	C₂×C₇×D₄	—	2	1	no	—
429	C₂×C₇×D₄	—	2	2	no	—
430	C₂×C₇×D₄	—	2	2	no	—
431	C₂×C₇×D₄	—	4	1	no	—
432	C₂×C₇×D₄	—	4	1	no	—
433	C₂×C₇×D₄	—	4	2	no	—
434	C₂×C₇×D₄	—	4	4	no	—
435	C₂×C₇×D₄	—	4	4	no	—
436	C₂×C₇×D₄	—	4	4	no	—
437	C₂×C₇×D₄	—	4	4	no	—
438	C₂×C₇×D₄	—	8	2	no	—
439	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
440	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
441	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
442	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
443	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
444	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
445	C₂×C₇×D₄	C₂⁴	1	2	yes	—
446	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₇	—	2	1	no	—
448	C₂²×C₄×C₇	—	2	2	no	—
449	C₂²×C₄×C₇	—	2	2	no	—
450	C₂²×C₄×C₇	—	2	2	no	—
451	C₂²×C₄×C₇	—	2	2	no	—
452	C₂²×C₄×C₇	—	2	1	no	—
453	C₂²×C₄×C₇	—	2	1	no	—
454	C₂²×C₄×C₇	—	2	1	no	—
455	C₂²×C₄×C₇	—	2	1	no	—
456	C₂²×C₄×C₇	—	2	1	no	—
457	C₂²×C₄×C₇	—	2	2	no	—
458	C₂²×C₄×C₇	—	2	2	no	—
459	C₂²×C₄×C₇	—	2	1	no	—
460	C₂²×C₄×C₇	—	2	1	no	—
461	C₂²×C₄×C₇	—	2	1	no	—
462	C₂²×C₄×C₇	—	2	1	no	—
463	C₂²×C₄×C₇	—	2	1	no	—
464	C₂²×C₄×C₇	—	2	1	no	—
465	C₂²×C₄×C₇	—	2	1	no	—
466	C₂²×C₄×C₇	—	2	1	no	—
467	C₂²×C₄×C₇	—	2	2	no	—
468	C₂²×C₄×C₇	—	2	2	no	—
469	C₂²×C₄×C₇	—	4	4	no	—
470	C₂²×C₄×C₇	—	4	4	no	—
471	C₂²×C₄×C₇	—	8	2	no	—
472	C₂²×C₄×C₇	—	8	2	no	—
473	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
474	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
475	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
476	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
477	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
478	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
479	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
480	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
481	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
486	C₇×SD₁₆	—	2	4	no	—
487	C₇×SD₁₆	—	4	2	no	—
488	C₇×SD₁₆	—	4	2	no	—
489	C₇×D₈	—	2	4	no	—
490	C₇×D₈	—	4	2	no	—
491	C₇×D₈	—	4	2	no	—
492	C₇×M₁₆	—	2	2	no	—
493	C₇×M₁₆	—	2	2	no	—
494	C₇×M₁₆	—	2	2	no	—
495	C₇×M₁₆	—	2	2	no	—
496	C₇×M₁₆	—	4	2	no	—
497	C₇×M₁₆	—	4	2	no	—
498	C₂×C₇×C₈	—	4	2	no	—
499	C₂×C₇×C₈	—	4	2	no	—
500	C₂×C₇×C₈	C₂⁴	1	2	yes	—
501	C₂×C₇×C₈	C₂⁴	1	2	yes	—
502	C₂×C₇×C₈	C₂⁴	1	2	yes	—
503	C₂×C₇×C₈	C₂⁴	1	2	yes	—
504	C₇×C₄⋊C₄	—	2	1	no	—
505	C₇×C₄⋊C₄	—	2	1	no	—
506	C₇×C₄⋊C₄	—	2	2	no	—
507	C₇×C₄⋊C₄	—	2	2	no	—
508	C₇×C₄⋊C₄	—	2	1	no	—
509	C₇×C₄⋊C₄	—	2	1	no	—
510	C₇×C₄⋊C₄	—	2	1	no	—
511	C₇×C₄⋊C₄	—	2	2	no	—
512	C₇×C₄⋊C₄	—	2	2	no	—
513	C₇×C₄⋊C₄	—	2	2	no	—
514	C₇×C₄⋊C₄	—	2	2	no	—
515	C₇×C₄⋊C₄	—	2	1	no	—
516	C₇×C₄⋊C₄	—	2	1	no	—
517	C₇×C₄⋊C₄	—	2	1	no	—
518	C₇×C₄⋊C₄	—	2	1	no	—
519	C₇×C₄⋊C₄	—	2	1	no	—
520	C₇×C₄⋊C₄	—	2	1	no	—
521	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
522	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
523	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
524	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
525	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
526	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
527	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
528	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
529	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
530	C₇×C₂²⋊C₄	—	2	2	no	—
531	C₇×C₂²⋊C₄	—	2	2	no	—
532	C₇×C₂²⋊C₄	—	2	1	no	—
533	C₇×C₂²⋊C₄	—	2	1	no	—
534	C₇×C₂²⋊C₄	—	2	1	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	—	2	2	no	—
542	C₇×C₂²⋊C₄	—	2	2	no	—
543	C₇×C₂²⋊C₄	—	2	2	no	—
544	C₇×C₂²⋊C₄	—	2	2	no	—
545	C₇×C₂²⋊C₄	—	2	2	no	—
546	C₇×C₂²⋊C₄	—	2	2	no	—
547	C₇×C₂²⋊C₄	—	2	1	no	—
548	C₇×C₂²⋊C₄	—	2	1	no	—
549	C₇×C₂²⋊C₄	—	2	1	no	—
550	C₇×C₂²⋊C₄	—	2	1	no	—
551	C₇×C₂²⋊C₄	—	2	1	no	—
552	C₇×C₂²⋊C₄	—	2	1	no	—
553	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
554	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
555	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
556	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
557	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
558	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
559	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
560	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
561	C₄²×C₇	—	2	1	no	—
562	C₄²×C₇	—	2	2	no	—
563	C₄²×C₇	—	2	2	no	—
564	C₄²×C₇	—	2	1	no	—
565	C₄²×C₇	—	2	1	no	—
566	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
567	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
568	C₄²×C₇	C₂⁴	1	1	yes	characteristic
569	C₄²×C₇	C₂⁴	1	1	yes	characteristic
570	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
571	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
572	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
573	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic, complemented
574	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic, complemented
575	C₂²×M₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
576	C₂²×M₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
577	#553	—	2	1	no	—
578	#553	—	2	1	no	—
579	#553	—	2	1	no	—
580	#553	—	2	1	no	—
581	#553	C₂²×C₇	1	2	yes	—
582	#553	C₂²×C₇	1	2	yes	complemented
583	#553	C₂²×C₇	1	2	yes	complemented
584	#553	C₂²×C₇	1	2	yes	complemented
585	#550	C₂²×C₇	1	1	yes	characteristic, complemented
586	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
587	#548	C₂²×C₇	1	1	yes	characteristic, complemented
588	#548	C₂²×C₇	1	1	yes	characteristic, complemented
589	#547	—	2	1	no	—
590	#547	C₂²×C₇	1	1	yes	characteristic, complemented
591	#546	—	2	1	no	—
592	#546	—	2	1	no	—
593	#546	C₂²×C₇	1	1	yes	characteristic, complemented
594	#546	C₂²×C₇	1	1	yes	characteristic, complemented
595	D₄²	—	2	1	no	—
596	D₄²	C₂²×C₇	1	1	yes	characteristic, complemented
597	#532	—	2	1	no	—
598	#532	C₂²×C₇	1	1	yes	characteristic
599	C₂×#126	—	2	1	no	—
600	C₂×#125	C₂²×C₇	1	1	yes	characteristic, complemented
601	#525	—	2	1	no	—
602	#525	—	2	1	no	—
603	#525	C₂²×C₇	1	1	yes	characteristic
604	#525	C₂²×C₇	1	1	yes	characteristic
605	C₂×#123	—	2	1	no	—
606	C₂×#121	—	2	1	no	—
607	C₂×#121	C₂²×C₇	1	1	yes	characteristic, complemented
608	C₂×#121	C₂²×C₇	1	1	yes	characteristic, complemented
609	C₄×#41	C₂²×C₇	1	1	yes	characteristic
610	C₂×C₄×D₄	—	2	1	no	—
611	C₂×C₄×D₄	—	2	1	no	—
612	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
613	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
614	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
615	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
616	#491	C₂²×C₇	1	2	yes	complemented
617	#490	C₂²×C₇	1	2	yes	complemented
618	#488	C₂²×C₇	1	2	yes	complemented
619	#488	C₂²×C₇	1	2	yes	complemented
620	#485	C₂²×C₇	1	2	yes	complemented
621	#485	C₂²×C₇	1	2	yes	complemented
622	#484	C₂²×C₇	1	2	yes	complemented
623	#483	C₂²×C₇	1	2	yes	complemented
624	#482	C₂²×C₇	1	2	yes	complemented
625	#482	C₂²×C₇	1	2	yes	complemented
626	#481	C₂²×C₇	1	2	yes	complemented
627	#480	C₂²×C₇	1	2	yes	complemented
628	#479	C₂²×C₇	1	2	yes	complemented
629	#479	C₂²×C₇	1	2	yes	complemented
630	#478	C₂²×C₇	1	2	yes	complemented
631	#478	C₂²×C₇	1	2	yes	complemented
632	#469	C₂²×C₇	1	2	yes	complemented
633	#469	C₂²×C₇	1	2	yes	complemented
634	#468	C₂²×C₇	1	2	yes	complemented
635	#468	C₂²×C₇	1	2	yes	complemented
636	#466	C₂²×C₇	1	2	yes	complemented
637	#466	C₂²×C₇	1	2	yes	complemented
638	#465	C₂²×C₇	1	2	yes	complemented
639	#465	C₂²×C₇	1	2	yes	complemented
640	#463	C₂²×C₇	1	2	yes	complemented
641	#463	C₂²×C₇	1	2	yes	complemented
642	#461	C₂²×C₇	1	2	yes	complemented
643	#459	C₂²×C₇	1	2	yes	complemented
644	#449	C₂²×C₇	1	2	yes	complemented
645	#449	C₂²×C₇	1	2	yes	complemented
646	#449	C₂²×C₇	1	2	yes	complemented
647	#449	C₂²×C₇	1	2	yes	complemented
648	#448	C₂²×C₇	1	2	yes	complemented
649	#448	C₂²×C₇	1	2	yes	complemented
650	#447	C₂²×C₇	1	2	yes	complemented
651	#447	C₂²×C₇	1	2	yes	complemented
652	#442	C₂²×C₇	1	2	yes	complemented
653	#440	C₂²×C₇	1	2	yes	complemented
654	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
655	C₄×D₈	C₂²×C₇	1	2	yes	complemented
656	#436	C₂²×C₇	1	2	yes	complemented
657	#435	C₂²×C₇	1	2	yes	complemented
658	#435	C₂²×C₇	1	2	yes	complemented
659	C₈×D₄	C₂²×C₇	1	2	yes	complemented
660	#428	C₂²×C₇	1	1	yes	characteristic, complemented
661	#428	C₂²×C₇	1	1	yes	characteristic, complemented
662	#428	C₂²×C₇	1	1	yes	characteristic, complemented
663	#423	C₂²×C₇	1	1	yes	characteristic, complemented
664	#419	C₂²×C₇	1	2	yes	complemented
665	#418	C₂²×C₇	1	2	yes	complemented
666	#418	C₂²×C₇	1	1	yes	characteristic, complemented
667	#417	C₂²×C₇	1	1	yes	characteristic
668	#417	C₂²×C₇	1	1	yes	characteristic
669	#417	C₂²×C₇	1	1	yes	characteristic
670	#417	C₂²×C₇	1	1	yes	characteristic, complemented
671	#417	C₂²×C₇	1	1	yes	characteristic, complemented
672	#417	C₂²×C₇	1	1	yes	characteristic, complemented
673	#417	C₂²×C₇	1	1	yes	characteristic, complemented
674	#417	C₂²×C₇	1	1	yes	characteristic, complemented
675	#417	C₂²×C₇	1	1	yes	characteristic, complemented
676	#417	C₂²×C₇	1	2	yes	complemented
677	#417	C₂²×C₇	1	2	yes	complemented
678	#416	C₂²×C₇	1	2	yes	complemented
679	#416	C₂²×C₇	1	2	yes	complemented
680	C₂×#103	C₂²×C₇	1	2	yes	complemented
681	C₂×#102	C₂²×C₇	1	2	yes	complemented
682	#407	C₂²×C₇	1	1	yes	characteristic, complemented
683	#407	C₂²×C₇	1	1	yes	characteristic, complemented
684	C₄×M₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
685	C₂³×C₇	—	2	2	no	—
686	C₂³×C₇	—	2	2	no	—
687	C₂³×C₇	—	2	1	no	—
688	C₂³×C₇	—	2	2	no	—
689	C₂³×C₇	—	2	2	no	—
690	C₂³×C₇	—	2	1	no	—
691	C₂³×C₇	—	2	1	no	—
692	C₂³×C₇	—	4	1	no	—
693	C₂³×C₇	—	4	1	no	—
694	C₂³×C₇	—	4	1	no	—
695	C₂³×C₇	—	4	2	no	—
696	C₂³×C₇	—	4	2	no	—
697	C₂³×C₇	—	4	2	no	—
698	C₂³×C₇	—	4	2	no	—
699	C₂³×C₇	—	4	2	no	—
700	C₂³×C₇	—	4	2	no	—
701	C₂³×C₇	—	4	2	no	—
702	C₂³×C₇	—	8	1	no	—
703	C₂³×C₇	—	8	1	no	—
704	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
705	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
706	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
707	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
708	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
709	C₇×Q₈	—	2	1	no	—
710	C₇×Q₈	—	2	1	no	—
711	C₇×Q₈	—	2	1	no	—
712	C₇×Q₈	—	2	1	no	—
713	C₇×Q₈	—	2	1	no	—
714	C₇×Q₈	—	4	2	no	—
715	C₇×Q₈	—	4	2	no	—
716	C₇×Q₈	C₂×#41	1	2	yes	—
717	C₇×D₄	—	2	4	no	—
718	C₇×D₄	—	2	2	no	—
719	C₇×D₄	—	2	2	no	—
720	C₇×D₄	—	2	2	no	—
721	C₇×D₄	—	2	1	no	—
722	C₇×D₄	—	2	1	no	—
723	C₇×D₄	—	2	1	no	—
724	C₇×D₄	—	2	2	no	—
725	C₇×D₄	—	2	1	no	—
726	C₇×D₄	—	2	1	no	—
727	C₇×D₄	—	4	1	no	—
728	C₇×D₄	—	4	1	no	—
729	C₇×D₄	—	4	2	no	—
730	C₇×D₄	—	4	2	no	—
731	C₇×D₄	—	4	2	no	—
732	C₇×D₄	—	4	2	no	—
733	C₇×D₄	—	4	2	no	—
734	C₇×D₄	—	4	2	no	—
735	C₇×D₄	—	4	2	no	—
736	C₇×D₄	—	4	2	no	—
737	C₇×D₄	—	4	4	no	—
738	C₇×D₄	—	4	2	no	—
739	C₇×D₄	—	4	2	no	—
740	C₇×D₄	—	4	2	no	—
741	C₇×D₄	—	4	4	no	—
742	C₇×D₄	—	4	2	no	—
743	C₇×D₄	—	8	1	no	—
744	C₇×D₄	—	8	1	no	—
745	C₇×D₄	—	8	1	no	—
746	C₇×D₄	—	8	2	no	—
747	C₇×D₄	—	8	2	no	—
748	C₇×D₄	C₂×#41	1	2	yes	—
749	C₂×C₄×C₇	—	2	2	no	—
750	C₂×C₄×C₇	—	2	2	no	—
751	C₂×C₄×C₇	—	2	1	no	—
752	C₂×C₄×C₇	—	2	2	no	—
753	C₂×C₄×C₇	—	2	2	no	—
754	C₂×C₄×C₇	—	2	2	no	—
755	C₂×C₄×C₇	—	2	2	no	—
756	C₂×C₄×C₇	—	2	4	no	—
757	C₂×C₄×C₇	—	2	1	no	—
758	C₂×C₄×C₇	—	2	1	no	—
759	C₂×C₄×C₇	—	2	1	no	—
760	C₂×C₄×C₇	—	2	1	no	—
761	C₂×C₄×C₇	—	2	1	no	—
762	C₂×C₄×C₇	—	2	1	no	—
763	C₂×C₄×C₇	—	2	1	no	—
764	C₂×C₄×C₇	—	2	1	no	—
765	C₂×C₄×C₇	—	2	1	no	—
766	C₂×C₄×C₇	—	2	1	no	—
767	C₂×C₄×C₇	—	2	2	no	—
768	C₂×C₄×C₇	—	2	2	no	—
769	C₂×C₄×C₇	—	2	1	no	—
770	C₂×C₄×C₇	—	2	1	no	—
771	C₂×C₄×C₇	—	2	2	no	—
772	C₂×C₄×C₇	—	4	1	no	—
773	C₂×C₄×C₇	—	4	1	no	—
774	C₂×C₄×C₇	—	4	2	no	—
775	C₂×C₄×C₇	—	4	2	no	—
776	C₂×C₄×C₇	—	4	2	no	—
777	C₂×C₄×C₇	—	4	2	no	—
778	C₂×C₄×C₇	—	4	2	no	—
779	C₂×C₄×C₇	—	4	2	no	—
780	C₂×C₄×C₇	—	4	2	no	—
781	C₂×C₄×C₇	—	4	2	no	—
782	C₂×C₄×C₇	—	4	2	no	—
783	C₂×C₄×C₇	—	4	2	no	—
784	C₂×C₄×C₇	—	4	2	no	—
785	C₂×C₄×C₇	—	4	2	no	—
786	C₂×C₄×C₇	—	8	1	no	—
787	C₂×C₄×C₇	—	8	2	no	—
788	C₂×C₄×C₇	—	8	2	no	—
789	C₂×C₄×C₇	—	8	2	no	—
790	C₂×C₄×C₇	—	8	2	no	—
791	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₇	C₂×#41	1	2	yes	—
801	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
802	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
803	C₇×C₈	—	2	2	no	—
804	C₇×C₈	—	2	2	no	—
805	C₇×C₈	—	2	2	no	—
806	C₇×C₈	—	2	2	no	—
807	C₂×#41	—	2	1	no	—
808	C₂×#41	—	2	1	no	—
809	C₂×#41	—	2	1	no	—
810	C₂×#41	—	2	1	no	—
811	C₂×#41	—	2	4	no	—
812	C₂×#41	—	2	4	no	—
813	C₂×#41	—	4	2	no	—
814	C₂×#41	—	4	2	no	—
815	C₂×#41	C₂³×C₇	1	1	yes	characteristic
816	C₂×#41	C₂³×C₇	1	1	yes	characteristic
817	C₂×#41	C₂³×C₇	1	1	yes	characteristic
818	C₂×#41	C₂³×C₇	1	1	yes	characteristic
819	C₂×#41	C₂³×C₇	1	1	yes	characteristic
820	C₂×#41	C₂³×C₇	1	1	yes	characteristic
821	C₂×#41	C₂³×C₇	1	1	yes	characteristic
822	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
823	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
824	C₂²×D₄	—	2	1	no	—
825	C₂²×D₄	—	2	1	no	—
826	C₂²×D₄	—	2	1	no	—
827	C₂²×D₄	—	2	1	no	—
828	C₂²×D₄	—	2	1	no	—
829	C₂²×D₄	C₇×D₄	1	1	yes	characteristic
830	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
831	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
832	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
833	C₂³×C₄	—	2	1	no	—
834	C₂³×C₄	—	2	1	no	—
835	C₂³×C₄	—	2	1	no	—
836	C₂³×C₄	—	2	1	no	—
837	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
838	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
839	AGL(1,ℤ/8)	—	2	4	no	—
840	AGL(1,ℤ/8)	—	4	2	no	—
841	AGL(1,ℤ/8)	—	4	2	no	—
842	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
843	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
844	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
845	C₂×D₈	C₂³×C₇	1	2	yes	—
846	C₂×D₈	C₂³×C₇	1	2	yes	—
847	C₂×D₈	C₂³×C₇	1	2	yes	—
848	C₂×M₁₆	—	4	2	no	—
849	C₂×M₁₆	—	4	2	no	—
850	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
851	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
852	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
853	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
854	C₂×M₁₆	C₂³×C₇	1	2	yes	—
855	C₂×M₁₆	C₂³×C₇	1	2	yes	—
856	C₂²×C₈	C₂³×C₇	1	2	yes	—
857	C₂²×C₈	C₂³×C₇	1	2	yes	—
858	C₄⋊Q₈	—	2	1	no	—
859	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
860	#127	—	2	1	no	—
861	#127	C₂³×C₇	1	1	yes	characteristic
862	#126	—	2	2	no	—
863	#126	—	2	2	no	—
864	#126	—	2	2	no	—
865	#126	—	2	2	no	—
866	#125	—	2	1	no	—
867	#125	—	2	1	no	—
868	#125	C₂³×C₇	1	2	yes	—
869	#125	C₂³×C₇	1	2	yes	—
870	#124	—	2	1	no	—
871	#124	—	2	1	no	—
872	#124	C₂³×C₇	1	1	yes	characteristic
873	#124	C₂³×C₇	1	1	yes	characteristic
874	#123	—	2	1	no	—
875	#123	—	2	1	no	—
876	#123	—	2	1	no	—
877	#123	—	2	1	no	—
878	#123	—	2	2	no	—
879	#123	—	2	2	no	—
880	#123	—	2	2	no	—
881	#123	—	2	2	no	—
882	#123	—	2	1	no	—
883	#123	—	2	1	no	—
884	C₂²⋊Q₈	—	2	1	no	—
885	C₂²⋊Q₈	—	2	1	no	—
886	C₂²⋊Q₈	—	2	1	no	—
887	C₂²⋊Q₈	—	2	1	no	—
888	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
889	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
890	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
891	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
892	#121	—	2	2	no	—
893	#121	—	2	2	no	—
894	#121	—	2	2	no	—
895	#121	—	2	2	no	—
896	#121	—	2	1	no	—
897	#121	—	2	1	no	—
898	#121	—	2	1	no	—
899	#121	—	2	1	no	—
900	#121	—	2	1	no	—
901	#121	—	2	1	no	—
902	#121	—	2	1	no	—
903	#121	—	2	1	no	—
904	#121	—	2	1	no	—
905	#121	—	2	1	no	—
906	#121	—	2	1	no	—
907	#121	—	2	1	no	—
908	#121	—	2	1	no	—
909	#121	—	2	1	no	—
910	#121	C₂³×C₇	1	2	yes	—
911	#121	C₂³×C₇	1	2	yes	—
912	#121	C₂³×C₇	1	2	yes	—
913	#121	C₂³×C₇	1	2	yes	—
914	#121	C₂³×C₇	1	1	yes	characteristic
915	#121	C₂³×C₇	1	1	yes	characteristic
916	#121	C₂³×C₇	1	1	yes	characteristic
917	#121	C₂³×C₇	1	1	yes	characteristic
918	#120	—	2	1	no	—
919	#120	—	2	1	no	—
920	#120	—	2	1	no	—
921	#120	—	2	1	no	—
922	#120	—	2	1	no	—
923	#120	—	2	1	no	—
924	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
925	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
926	C₄×D₄	—	2	1	no	—
927	C₄×D₄	—	2	1	no	—
928	C₄×D₄	—	2	1	no	—
929	C₄×D₄	—	2	1	no	—
930	C₄×D₄	—	2	1	no	—
931	C₄×D₄	—	2	1	no	—
932	C₄×D₄	—	2	1	no	—
933	C₄×D₄	—	2	1	no	—
934	C₄×D₄	—	2	1	no	—
935	C₄×D₄	—	2	1	no	—
936	C₄×D₄	—	2	2	no	—
937	C₄×D₄	—	2	2	no	—
938	C₄×D₄	—	2	2	no	—
939	C₄×D₄	—	2	2	no	—
940	C₄×D₄	—	2	1	no	—
941	C₄×D₄	—	2	1	no	—
942	C₄×D₄	—	2	1	no	—
943	C₄×D₄	—	2	1	no	—
944	C₄×D₄	C₇×D₄	1	1	yes	characteristic
945	C₄×D₄	C₇×D₄	1	1	yes	characteristic
946	C₄×D₄	C₇×D₄	1	1	yes	characteristic
947	C₄×D₄	C₇×D₄	1	1	yes	characteristic
948	C₄×D₄	C₂³×C₇	1	2	yes	—
949	C₄×D₄	C₂³×C₇	1	2	yes	—
950	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
951	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
952	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
953	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
954	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
955	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
956	#117	—	2	1	no	—
957	#117	—	2	1	no	—
958	#117	—	2	1	no	—
959	#117	C₂³×C₇	1	2	yes	—
960	#117	C₂³×C₇	1	2	yes	—
961	#117	C₂³×C₇	1	1	yes	characteristic
962	C₂×C₄⋊C₄	—	2	1	no	—
963	C₂×C₄⋊C₄	—	2	1	no	—
964	C₂×C₄⋊C₄	—	2	1	no	—
965	C₂×C₄⋊C₄	—	2	1	no	—
966	C₂×C₄⋊C₄	—	2	1	no	—
967	C₂×C₄⋊C₄	—	2	1	no	—
968	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
972	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
973	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
974	C₂×C₂²⋊C₄	—	2	1	no	—
975	C₂×C₂²⋊C₄	—	2	1	no	—
976	C₂×C₂²⋊C₄	—	2	1	no	—
977	C₂×C₂²⋊C₄	—	2	1	no	—
978	C₂×C₂²⋊C₄	—	2	1	no	—
979	C₂×C₂²⋊C₄	—	2	1	no	—
980	C₂×C₂²⋊C₄	C₇×D₄	1	1	yes	characteristic
981	C₂×C₂²⋊C₄	C₇×D₄	1	1	yes	characteristic
982	C₂×C₄²	—	2	1	no	—
983	C₂×C₄²	—	2	1	no	—
984	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
985	#107	C₂³×C₇	1	2	yes	—
986	#107	C₂³×C₇	1	2	yes	—
987	#107	C₂³×C₇	1	2	yes	—
988	#106	C₂³×C₇	1	2	yes	—
989	#106	C₂³×C₇	1	2	yes	—
990	#106	C₂³×C₇	1	2	yes	—
991	C₄⋊C₈	C₂³×C₇	1	2	yes	—
992	C₄⋊C₈	C₂³×C₇	1	2	yes	—
993	#103	C₂³×C₇	1	2	yes	—
994	#103	C₂³×C₇	1	2	yes	—
995	#103	C₂³×C₇	1	2	yes	—
996	#103	C₂³×C₇	1	2	yes	—
997	#103	C₂³×C₇	1	2	yes	—
998	#103	C₂³×C₇	1	2	yes	—
999	#103	C₂³×C₇	1	2	yes	—
1000	#103	C₂³×C₇	1	2	yes	—
1001	#103	C₂³×C₇	1	2	yes	—
1002	#102	C₂³×C₇	1	2	yes	—
1003	#102	C₂³×C₇	1	2	yes	—
1004	#102	C₂³×C₇	1	2	yes	—
1005	#102	C₂³×C₇	1	2	yes	—
1006	#102	C₂³×C₇	1	2	yes	—
1007	#102	C₂³×C₇	1	2	yes	—
1008	#102	C₂³×C₇	1	2	yes	—
1009	#102	C₂³×C₇	1	2	yes	—
1010	#102	C₂³×C₇	1	2	yes	—
1011	#102	C₂³×C₇	1	2	yes	—
1012	#102	C₂³×C₇	1	2	yes	—
1013	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
1014	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
1015	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
1016	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
1017	#97	C₂³×C₇	1	2	yes	—
1018	C₄×C₈	C₂³×C₇	1	2	yes	—
1019	C₂²×C₇	—	2	1	no	—
1020	C₂²×C₇	—	2	1	no	—
1021	C₂²×C₇	—	2	1	no	—
1022	C₂²×C₇	—	2	1	no	—
1023	C₂²×C₇	—	2	1	no	—
1024	C₂²×C₇	—	2	1	no	—
1025	C₂²×C₇	—	2	1	no	—
1026	C₂²×C₇	—	2	1	no	—
1027	C₂²×C₇	—	2	1	no	—
1028	C₂²×C₇	—	2	1	no	—
1029	C₂²×C₇	—	2	2	no	—
1030	C₂²×C₇	—	2	1	no	—
1031	C₂²×C₇	—	2	1	no	—
1032	C₂²×C₇	—	2	1	no	—
1033	C₂²×C₇	—	4	4	no	—
1034	C₂²×C₇	—	4	1	no	—
1035	C₂²×C₇	—	4	1	no	—
1036	C₂²×C₇	—	4	2	no	—
1037	C₂²×C₇	—	4	1	no	—
1038	C₂²×C₇	—	4	1	no	—
1039	C₂²×C₇	—	4	1	no	—
1040	C₂²×C₇	—	4	1	no	—
1041	C₂²×C₇	—	4	2	no	—
1042	C₂²×C₇	—	4	1	no	—
1043	C₂²×C₇	—	4	1	no	—
1044	C₂²×C₇	—	4	2	no	—
1045	C₂²×C₇	—	8	2	no	—
1046	C₂²×C₇	—	8	4	no	—
1047	C₂²×C₇	—	8	4	no	—
1048	C₂²×C₇	—	8	4	no	—
1049	C₂²×C₇	#546	1	2	yes	—
1050	C₂²×C₇	#575	1	2	yes	—
1051	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1052	C₄×C₇	—	2	1	no	—
1053	C₄×C₇	—	2	1	no	—
1054	C₄×C₇	—	2	1	no	—
1055	C₄×C₇	—	2	1	no	—
1056	C₄×C₇	—	2	1	no	—
1057	C₄×C₇	—	2	1	no	—
1058	C₄×C₇	—	2	2	no	—
1059	C₄×C₇	—	2	1	no	—
1060	C₄×C₇	—	2	1	no	—
1061	C₄×C₇	—	4	2	no	—
1062	C₄×C₇	—	4	2	no	—
1063	C₄×C₇	—	4	1	no	—
1064	C₄×C₇	—	4	1	no	—
1065	C₄×C₇	—	4	1	no	—
1066	C₄×C₇	—	4	1	no	—
1067	C₄×C₇	—	4	2	no	—
1068	C₄×C₇	#546	1	2	yes	—
1069	C₄×C₇	C₂²×#41	1	1	yes	characteristic
1070	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1071	C₂⁴	—	2	1	no	—
1072	C₂⁴	—	2	1	no	—
1073	C₂⁴	—	2	1	no	—
1074	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
1075	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
1076	#41	—	2	2	no	—
1077	#41	—	2	2	no	—
1078	#41	—	2	2	no	—
1079	#41	—	2	2	no	—
1080	#41	—	2	2	no	—
1081	#41	—	2	2	no	—
1082	#41	—	2	2	no	—
1083	#41	—	2	2	no	—
1084	#41	—	2	2	no	—
1085	#41	—	4	4	no	—
1086	#41	—	4	4	no	—
1087	#41	—	4	1	no	—
1088	#41	—	4	1	no	—
1089	#41	—	4	1	no	—
1090	#41	—	4	1	no	—
1091	#41	—	4	4	no	—
1092	#41	—	4	4	no	—
1093	#41	C₇×#41	1	4	yes	—
1094	C₂×Q₈	—	2	1	no	—
1095	C₂×Q₈	—	2	1	no	—
1096	C₂×Q₈	—	2	2	no	—
1097	C₂×Q₈	—	2	2	no	—
1098	C₂×Q₈	—	4	1	no	—
1099	C₂×Q₈	—	4	1	no	—
1100	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1101	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1102	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1103	C₂×D₄	—	2	1	no	—
1104	C₂×D₄	—	2	2	no	—
1105	C₂×D₄	—	2	2	no	—
1106	C₂×D₄	—	2	1	no	—
1107	C₂×D₄	—	2	1	no	—
1108	C₂×D₄	—	2	2	no	—
1109	C₂×D₄	—	2	2	no	—
1110	C₂×D₄	—	2	1	no	—
1111	C₂×D₄	—	2	1	no	—
1112	C₂×D₄	—	2	1	no	—
1113	C₂×D₄	—	2	1	no	—
1114	C₂×D₄	—	2	1	no	—
1115	C₂×D₄	—	2	1	no	—
1116	C₂×D₄	—	2	1	no	—
1117	C₂×D₄	—	2	1	no	—
1118	C₂×D₄	—	2	2	no	—
1119	C₂×D₄	—	2	2	no	—
1120	C₂×D₄	—	2	1	no	—
1121	C₂×D₄	—	2	1	no	—
1122	C₂×D₄	—	2	1	no	—
1123	C₂×D₄	—	2	1	no	—
1124	C₂×D₄	—	2	1	no	—
1125	C₂×D₄	—	2	2	no	—
1126	C₂×D₄	—	2	2	no	—
1127	C₂×D₄	—	4	1	no	—
1128	C₂×D₄	—	4	1	no	—
1129	C₂×D₄	—	4	2	no	—
1130	C₂×D₄	—	4	4	no	—
1131	C₂×D₄	—	4	4	no	—
1132	C₂×D₄	—	4	4	no	—
1133	C₂×D₄	—	4	4	no	—
1134	C₂×D₄	—	8	2	no	—
1135	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1136	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1137	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1138	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1139	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1140	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1141	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1142	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1143	C₂²×C₄	—	2	1	no	—
1144	C₂²×C₄	—	2	2	no	—
1145	C₂²×C₄	—	2	2	no	—
1146	C₂²×C₄	—	2	2	no	—
1147	C₂²×C₄	—	2	2	no	—
1148	C₂²×C₄	—	2	1	no	—
1149	C₂²×C₄	—	2	1	no	—
1150	C₂²×C₄	—	2	1	no	—
1151	C₂²×C₄	—	2	1	no	—
1152	C₂²×C₄	—	2	1	no	—
1153	C₂²×C₄	—	2	2	no	—
1154	C₂²×C₄	—	2	2	no	—
1155	C₂²×C₄	—	2	1	no	—
1156	C₂²×C₄	—	2	1	no	—
1157	C₂²×C₄	—	2	1	no	—
1158	C₂²×C₄	—	2	1	no	—
1159	C₂²×C₄	—	2	1	no	—
1160	C₂²×C₄	—	2	1	no	—
1161	C₂²×C₄	—	2	1	no	—
1162	C₂²×C₄	—	2	1	no	—
1163	C₂²×C₄	—	2	2	no	—
1164	C₂²×C₄	—	2	2	no	—
1165	C₂²×C₄	—	4	4	no	—
1166	C₂²×C₄	—	4	4	no	—
1167	C₂²×C₄	—	8	2	no	—
1168	C₂²×C₄	—	8	2	no	—
1169	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1170	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1171	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1172	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1173	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1174	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1175	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1176	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1177	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1178	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1179	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1180	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1181	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1182	SD₁₆	—	2	4	no	—
1183	SD₁₆	—	4	2	no	—
1184	SD₁₆	—	4	2	no	—
1185	D₈	—	2	4	no	—
1186	D₈	—	4	2	no	—
1187	D₈	—	4	2	no	—
1188	M₁₆	—	2	2	no	—
1189	M₁₆	—	2	2	no	—
1190	M₁₆	—	2	2	no	—
1191	M₁₆	—	2	2	no	—
1192	M₁₆	—	4	2	no	—
1193	M₁₆	—	4	2	no	—
1194	C₂×C₈	—	4	2	no	—
1195	C₂×C₈	—	4	2	no	—
1196	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1197	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1198	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1199	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1200	C₄⋊C₄	—	2	1	no	—
1201	C₄⋊C₄	—	2	1	no	—
1202	C₄⋊C₄	—	2	2	no	—
1203	C₄⋊C₄	—	2	2	no	—
1204	C₄⋊C₄	—	2	1	no	—
1205	C₄⋊C₄	—	2	1	no	—
1206	C₄⋊C₄	—	2	1	no	—
1207	C₄⋊C₄	—	2	2	no	—
1208	C₄⋊C₄	—	2	2	no	—
1209	C₄⋊C₄	—	2	2	no	—
1210	C₄⋊C₄	—	2	2	no	—
1211	C₄⋊C₄	—	2	1	no	—
1212	C₄⋊C₄	—	2	1	no	—
1213	C₄⋊C₄	—	2	1	no	—
1214	C₄⋊C₄	—	2	1	no	—
1215	C₄⋊C₄	—	2	1	no	—
1216	C₄⋊C₄	—	2	1	no	—
1217	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1218	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1219	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1220	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1221	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1222	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1223	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1224	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1225	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1226	C₂²⋊C₄	—	2	2	no	—
1227	C₂²⋊C₄	—	2	2	no	—
1228	C₂²⋊C₄	—	2	1	no	—
1229	C₂²⋊C₄	—	2	1	no	—
1230	C₂²⋊C₄	—	2	1	no	—
1231	C₂²⋊C₄	—	2	1	no	—
1232	C₂²⋊C₄	—	2	1	no	—
1233	C₂²⋊C₄	—	2	1	no	—
1234	C₂²⋊C₄	—	2	1	no	—
1235	C₂²⋊C₄	—	2	1	no	—
1236	C₂²⋊C₄	—	2	1	no	—
1237	C₂²⋊C₄	—	2	2	no	—
1238	C₂²⋊C₄	—	2	2	no	—
1239	C₂²⋊C₄	—	2	2	no	—
1240	C₂²⋊C₄	—	2	2	no	—
1241	C₂²⋊C₄	—	2	2	no	—
1242	C₂²⋊C₄	—	2	2	no	—
1243	C₂²⋊C₄	—	2	1	no	—
1244	C₂²⋊C₄	—	2	1	no	—
1245	C₂²⋊C₄	—	2	1	no	—
1246	C₂²⋊C₄	—	2	1	no	—
1247	C₂²⋊C₄	—	2	1	no	—
1248	C₂²⋊C₄	—	2	1	no	—
1249	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1250	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1251	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1252	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1253	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1254	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1255	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1256	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1257	C₄²	—	2	1	no	—
1258	C₄²	—	2	2	no	—
1259	C₄²	—	2	2	no	—
1260	C₄²	—	2	1	no	—
1261	C₄²	—	2	1	no	—
1262	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1263	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1264	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1265	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1266	C₂×C₇	—	2	2	no	—
1267	C₂×C₇	—	2	2	no	—
1268	C₂×C₇	—	4	1	no	—
1269	C₂×C₇	—	4	1	no	—
1270	C₂×C₇	—	4	1	no	—
1271	C₂×C₇	—	4	2	no	—
1272	C₂×C₇	—	8	2	no	—
1273	C₂×C₇	—	8	1	no	—
1274	C₂×C₇	—	8	1	no	—
1275	C₂×C₇	C₂×#546	1	1	yes	characteristic
1276	C₂×C₇	C₂×#575	1	1	yes	characteristic
1277	C₂×C₇	#3585	1	1	yes	characteristic
1278	C₂³	—	2	1	no	—
1279	C₂³	—	2	2	no	—
1280	C₂³	—	2	2	no	—
1281	C₂³	—	2	2	no	—
1282	C₂³	—	2	2	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	4	1	no	—
1286	C₂³	—	4	1	no	—
1287	C₂³	—	4	1	no	—
1288	C₂³	—	4	2	no	—
1289	C₂³	—	4	2	no	—
1290	C₂³	—	4	2	no	—
1291	C₂³	—	4	2	no	—
1292	C₂³	—	4	2	no	—
1293	C₂³	—	4	2	no	—
1294	C₂³	—	4	2	no	—
1295	C₂³	—	8	1	no	—
1296	C₂³	—	8	1	no	—
1297	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1298	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1299	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1300	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1301	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1302	Q₈	—	2	1	no	—
1303	Q₈	—	2	1	no	—
1304	Q₈	—	2	1	no	—
1305	Q₈	—	2	1	no	—
1306	Q₈	—	2	1	no	—
1307	Q₈	—	4	2	no	—
1308	Q₈	—	4	2	no	—
1309	Q₈	C₂×C₇×#41	1	2	yes	—
1310	D₄	—	2	4	no	—
1311	D₄	—	2	2	no	—
1312	D₄	—	2	2	no	—
1313	D₄	—	2	2	no	—
1314	D₄	—	2	1	no	—
1315	D₄	—	2	1	no	—
1316	D₄	—	2	1	no	—
1317	D₄	—	2	2	no	—
1318	D₄	—	2	1	no	—
1319	D₄	—	2	1	no	—
1320	D₄	—	4	1	no	—
1321	D₄	—	4	1	no	—
1322	D₄	—	4	2	no	—
1323	D₄	—	4	2	no	—
1324	D₄	—	4	2	no	—
1325	D₄	—	4	2	no	—
1326	D₄	—	4	2	no	—
1327	D₄	—	4	2	no	—
1328	D₄	—	4	2	no	—
1329	D₄	—	4	2	no	—
1330	D₄	—	4	4	no	—
1331	D₄	—	4	2	no	—
1332	D₄	—	4	2	no	—
1333	D₄	—	4	2	no	—
1334	D₄	—	4	4	no	—
1335	D₄	—	4	2	no	—
1336	D₄	—	8	1	no	—
1337	D₄	—	8	1	no	—
1338	D₄	—	8	1	no	—
1339	D₄	—	8	2	no	—
1340	D₄	—	8	2	no	—
1341	D₄	C₂×C₇×#41	1	2	yes	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	2	no	—
1344	C₂×C₄	—	2	2	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	2	no	—
1354	C₂×C₄	—	2	2	no	—
1355	C₂×C₄	—	2	2	no	—
1356	C₂×C₄	—	2	2	no	—
1357	C₂×C₄	—	2	4	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	2	no	—
1361	C₂×C₄	—	2	2	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	2	no	—
1365	C₂×C₄	—	4	1	no	—
1366	C₂×C₄	—	4	1	no	—
1367	C₂×C₄	—	4	2	no	—
1368	C₂×C₄	—	4	2	no	—
1369	C₂×C₄	—	4	2	no	—
1370	C₂×C₄	—	4	2	no	—
1371	C₂×C₄	—	4	2	no	—
1372	C₂×C₄	—	4	2	no	—
1373	C₂×C₄	—	4	2	no	—
1374	C₂×C₄	—	4	2	no	—
1375	C₂×C₄	—	4	2	no	—
1376	C₂×C₄	—	4	2	no	—
1377	C₂×C₄	—	4	2	no	—
1378	C₂×C₄	—	4	2	no	—
1379	C₂×C₄	—	8	1	no	—
1380	C₂×C₄	—	8	2	no	—
1381	C₂×C₄	—	8	2	no	—
1382	C₂×C₄	—	8	2	no	—
1383	C₂×C₄	—	8	2	no	—
1384	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1385	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1386	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1387	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1388	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1389	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1390	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1391	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1392	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1393	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1394	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1395	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1396	C₈	—	2	2	no	—
1397	C₈	—	2	2	no	—
1398	C₈	—	2	2	no	—
1399	C₈	—	2	2	no	—
1400	C₇	#61164	1	1	yes	characteristic, direct product factor, Sylow
1401	C₂²	—	2	1	no	—
1402	C₂²	—	2	1	no	—
1403	C₂²	—	2	1	no	—
1404	C₂²	—	2	1	no	—
1405	C₂²	—	2	1	no	—
1406	C₂²	—	2	1	no	—
1407	C₂²	—	2	1	no	—
1408	C₂²	—	2	1	no	—
1409	C₂²	—	2	1	no	—
1410	C₂²	—	2	1	no	—
1411	C₂²	—	2	1	no	—
1412	C₂²	—	2	1	no	—
1413	C₂²	—	2	1	no	—
1414	C₂²	—	2	2	no	—
1415	C₂²	—	4	4	no	—
1416	C₂²	—	4	1	no	—
1417	C₂²	—	4	1	no	—
1418	C₂²	—	4	1	no	—
1419	C₂²	—	4	1	no	—
1420	C₂²	—	4	2	no	—
1421	C₂²	—	4	2	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	2	no	—
1427	C₂²	—	8	2	no	—
1428	C₂²	—	8	4	no	—
1429	C₂²	—	8	4	no	—
1430	C₂²	—	8	4	no	—
1431	C₂²	C₇×#546	1	2	yes	—
1432	C₂²	C₇×#575	1	2	yes	—
1433	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1434	C₄	—	2	1	no	—
1435	C₄	—	2	1	no	—
1436	C₄	—	2	1	no	—
1437	C₄	—	2	1	no	—
1438	C₄	—	2	1	no	—
1439	C₄	—	2	1	no	—
1440	C₄	—	2	1	no	—
1441	C₄	—	2	1	no	—
1442	C₄	—	2	2	no	—
1443	C₄	—	4	1	no	—
1444	C₄	—	4	2	no	—
1445	C₄	—	4	2	no	—
1446	C₄	—	4	2	no	—
1447	C₄	—	4	1	no	—
1448	C₄	—	4	1	no	—
1449	C₄	—	4	1	no	—
1450	C₄	C₇×#546	1	2	yes	—
1451	C₄	C₂²×C₇×#41	1	1	yes	characteristic
1452	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1453	C₂	—	2	2	no	—
1454	C₂	—	2	2	no	—
1455	C₂	—	4	1	no	—
1456	C₂	—	4	1	no	—
1457	C₂	—	4	1	no	—
1458	C₂	—	4	2	no	—
1459	C₂	—	8	2	no	—
1460	C₂	—	8	1	no	—
1461	C₂	—	8	1	no	—
1462	C₂	C₂×C₇×#546	1	1	yes	characteristic
1463	C₂	C₂×C₇×#575	1	1	yes	characteristic
1464	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. C₂×C₇×#553	C₂	semidirect
2. C₇×D₄×#41	C₂	semidirect
3. C₇×#3326	C₂	semidirect
4. C₇×#3322	C₂	semidirect
5. C₇×#3320	C₂	semidirect
6. C₇×#3318	C₂	semidirect
7. C₇×#3309	C₂	semidirect
8. C₇×#3307	C₂	semidirect
9. C₇×#3301	C₂	semidirect
10. C₇×#3297	C₂	semidirect
11. C₇×#3142	C₂	semidirect
12. C₇×#3093	C₂	semidirect
13. C₇×#3092	C₂	semidirect
14. C₇×#3080	C₂	semidirect
15. C₇×#3055	C₂	semidirect
16. C₇×#3055	C₂	semidirect
17. C₇×#3036	C₂	semidirect
18. C₇×#3006	C₂	semidirect
19. C₇×#3006	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×#417	C₂	semidirect
27. C₂×C₇×AGL(1,ℤ/8)	C₂²	semidirect
28. C₂×C₇×AGL(1,ℤ/8)	C₂²	semidirect
29. C₂²×C₇×M₁₆	C₂²	semidirect
30. C₂²×C₇×M₁₆	C₂²	semidirect
36. C₇×#553	C₂²	semidirect
37. C₇×#553	C₂²	semidirect
38. C₇×#553	C₂²	semidirect
39. C₇×#550	C₂²	semidirect
40. C₇×D₄×Q₈	C₂²	semidirect
41. C₇×#548	C₂²	semidirect
42. C₇×#548	C₂²	semidirect
44. C₇×#547	C₂²	semidirect
47. C₇×#546	C₂²	semidirect
48. C₇×#546	C₂²	semidirect
50. C₇×D₄²	C₂²	semidirect
54. C₂×C₇×#125	C₂²	semidirect
61. C₂×C₇×#121	C₂²	semidirect
62. C₂×C₇×#121	C₂²	semidirect
67. C₂×C₄×C₇×D₄	C₂²	semidirect
68. C₂×C₇×#117	C₂²	semidirect
69. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
70. C₇×#491	C₂²	semidirect
71. C₇×#490	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×#479	C₂²	semidirect
83. C₇×#479	C₂²	semidirect
84. C₇×#478	C₂²	semidirect
85. C₇×#478	C₂²	semidirect
86. C₇×#469	C₂²	semidirect
87. C₇×#469	C₂²	semidirect
88. C₇×#468	C₂²	semidirect
89. C₇×#468	C₂²	semidirect
90. C₇×#466	C₂²	semidirect
91. C₇×#466	C₂²	semidirect
92. C₇×#465	C₂²	semidirect
93. C₇×#465	C₂²	semidirect
94. C₇×#463	C₂²	semidirect
95. C₇×#463	C₂²	semidirect
96. C₇×#461	C₂²	semidirect
97. C₇×#459	C₂²	semidirect
98. C₇×#449	C₂²	semidirect
99. C₇×#449	C₂²	semidirect
100. C₇×#449	C₂²	semidirect
101. C₇×#449	C₂²	semidirect
102. C₇×#448	C₂²	semidirect
103. C₇×#448	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×#418	C₂²	semidirect
120. C₇×#418	C₂²	semidirect
124. C₇×#417	C₂²	semidirect
125. C₇×#417	C₂²	semidirect
126. C₇×#417	C₂²	semidirect
127. C₇×#417	C₂²	semidirect
128. C₇×#417	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×#103	C₂²	semidirect
135. C₂×C₇×#102	C₂²	semidirect
136. C₇×#407	C₂²	semidirect
137. C₇×#407	C₂²	semidirect
138. C₄×C₇×M₁₆	C₂²	semidirect
139. #61164	C₇	direct (N × H)
352. C₂×#553	C₂×C₇	semidirect
353. D₄×#41	C₂×C₇	semidirect
354. #3326	C₂×C₇	semidirect
355. #3322	C₂×C₇	semidirect
356. #3320	C₂×C₇	semidirect
357. #3318	C₂×C₇	semidirect
358. #3309	C₂×C₇	semidirect
359. #3307	C₂×C₇	semidirect
360. #3301	C₂×C₇	semidirect
361. #3297	C₂×C₇	semidirect
362. #3142	C₂×C₇	semidirect
363. #3093	C₂×C₇	semidirect
364. #3092	C₂×C₇	semidirect
365. #3080	C₂×C₇	semidirect
366. #3055	C₂×C₇	semidirect
367. #3055	C₂×C₇	semidirect
368. #3036	C₂×C₇	semidirect
369. #3006	C₂×C₇	semidirect
370. #3006	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×#417	C₂×C₇	semidirect
573. C₂×AGL(1,ℤ/8)	C₂²×C₇	semidirect
574. C₂×AGL(1,ℤ/8)	C₂²×C₇	semidirect
575. C₂²×M₁₆	C₂²×C₇	semidirect
576. C₂²×M₁₆	C₂²×C₇	semidirect
582. #553	C₂²×C₇	semidirect
583. #553	C₂²×C₇	semidirect
584. #553	C₂²×C₇	semidirect
585. #550	C₂²×C₇	semidirect
586. D₄×Q₈	C₂²×C₇	semidirect
587. #548	C₂²×C₇	semidirect
588. #548	C₂²×C₇	semidirect
590. #547	C₂²×C₇	semidirect
593. #546	C₂²×C₇	semidirect
594. #546	C₂²×C₇	semidirect
596. D₄²	C₂²×C₇	semidirect
600. C₂×#125	C₂²×C₇	semidirect
607. C₂×#121	C₂²×C₇	semidirect
608. C₂×#121	C₂²×C₇	semidirect
613. C₂×C₄×D₄	C₂²×C₇	semidirect
614. C₂×#117	C₂²×C₇	semidirect
615. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
616. #491	C₂²×C₇	semidirect
617. #490	C₂²×C₇	semidirect
618. #488	C₂²×C₇	semidirect
619. #488	C₂²×C₇	semidirect
620. #485	C₂²×C₇	semidirect
621. #485	C₂²×C₇	semidirect
622. #484	C₂²×C₇	semidirect
623. #483	C₂²×C₇	semidirect
624. #482	C₂²×C₇	semidirect
625. #482	C₂²×C₇	semidirect
626. #481	C₂²×C₇	semidirect
627. #480	C₂²×C₇	semidirect
628. #479	C₂²×C₇	semidirect
629. #479	C₂²×C₇	semidirect
630. #478	C₂²×C₇	semidirect
631. #478	C₂²×C₇	semidirect
632. #469	C₂²×C₇	semidirect
633. #469	C₂²×C₇	semidirect
634. #468	C₂²×C₇	semidirect
635. #468	C₂²×C₇	semidirect
636. #466	C₂²×C₇	semidirect
637. #466	C₂²×C₇	semidirect
638. #465	C₂²×C₇	semidirect
639. #465	C₂²×C₇	semidirect
640. #463	C₂²×C₇	semidirect
641. #463	C₂²×C₇	semidirect
642. #461	C₂²×C₇	semidirect
643. #459	C₂²×C₇	semidirect
644. #449	C₂²×C₇	semidirect
645. #449	C₂²×C₇	semidirect
646. #449	C₂²×C₇	semidirect
647. #449	C₂²×C₇	semidirect
648. #448	C₂²×C₇	semidirect
649. #448	C₂²×C₇	semidirect
650. #447	C₂²×C₇	semidirect
651. #447	C₂²×C₇	semidirect
652. #442	C₂²×C₇	semidirect
653. #440	C₂²×C₇	semidirect
654. C₄×SD₁₆	C₂²×C₇	semidirect
655. C₄×D₈	C₂²×C₇	semidirect
656. #436	C₂²×C₇	semidirect
657. #435	C₂²×C₇	semidirect
658. #435	C₂²×C₇	semidirect
659. C₈×D₄	C₂²×C₇	semidirect
660. #428	C₂²×C₇	semidirect
661. #428	C₂²×C₇	semidirect
662. #428	C₂²×C₇	semidirect
663. #423	C₂²×C₇	semidirect
664. #419	C₂²×C₇	semidirect
665. #418	C₂²×C₇	semidirect
666. #418	C₂²×C₇	semidirect
670. #417	C₂²×C₇	semidirect
671. #417	C₂²×C₇	semidirect
672. #417	C₂²×C₇	semidirect
673. #417	C₂²×C₇	semidirect
674. #417	C₂²×C₇	semidirect
675. #417	C₂²×C₇	semidirect
676. #417	C₂²×C₇	semidirect
677. #417	C₂²×C₇	semidirect
678. #416	C₂²×C₇	semidirect
679. #416	C₂²×C₇	semidirect
680. C₂×#103	C₂²×C₇	semidirect
681. C₂×#102	C₂²×C₇	semidirect
682. #407	C₂²×C₇	semidirect
683. #407	C₂²×C₇	semidirect
684. C₄×M₁₆	C₂²×C₇	semidirect
1400. C₇	#61164	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₇×#553	2
C₇×D₄×#41	2
C₇×#3326	2
C₇×#3322	2
C₇×#3320	2
C₇×#3318	2
C₇×#3309	2
C₇×#3307	2
C₇×#3301	2
C₇×#3297	2
C₇×#3142	2
C₇×#3093	2
C₇×#3092	2
C₇×#3080	2
C₇×#3055	2
C₇×#3036	2
C₇×#3006	2
C₄×C₇×AGL(1,ℤ/8)	2
C₇×D₄×M₁₆	2
C₇×#2896	2
C₂×C₇×#417	2
#61164	7

Subgroups — C7×#61164 #13238380

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61164 #13238380