Subgroups — C₇×#60978 #13238194

Order 1792.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3494	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₇×#540	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3259	C₂	1	2	yes	maximal, complemented
4	C₇×#3257	C₂	1	2	yes	maximal, complemented
5	C₇×#3241	C₂	1	2	yes	maximal, complemented
6	C₇×#3234	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3232	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3220	C₂	1	2	yes	maximal, complemented
9	C₇×#3217	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3205	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3194	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3192	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3188	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3186	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3179	C₂	1	2	yes	maximal, complemented
16	C₇×#3176	C₂	1	2	yes	maximal, complemented
17	C₇×#3122	C₂	1	2	yes	maximal, complemented
18	C₇×#3119	C₂	1	2	yes	maximal, complemented
19	C₇×#3114	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3109	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3105	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3100	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2924	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#555	—	2	1	no	—
25	C₇×#553	—	2	1	no	—
26	C₇×#553	—	2	1	no	—
27	C₇×#551	—	2	1	no	—
28	C₇×#551	—	2	1	no	—
29	C₇×#547	—	2	1	no	—
30	C₇×#546	—	2	1	no	—
31	C₇×#546	—	2	1	no	—
32	C₇×#544	C₂²	1	1	yes	characteristic, complemented
33	C₇×#542	C₂²	1	1	yes	characteristic, complemented
34	C₇×#542	C₂²	1	1	yes	characteristic, complemented
35	C₇×#540	—	2	1	no	—
36	C₇×#540	—	2	1	no	—
37	C₇×#540	—	2	1	no	—
38	C₇×#540	—	2	1	no	—
39	C₇×#540	C₂²	1	2	yes	—
40	C₇×#540	C₂²	1	2	yes	—
41	C₇×#540	C₂²	1	1	yes	characteristic, complemented
42	C₇×#540	C₂²	1	2	yes	complemented
43	C₇×#540	C₂²	1	2	yes	complemented
44	C₇×#540	C₂²	1	1	yes	characteristic, complemented
45	C₇×#535	C₂²	1	1	yes	characteristic, complemented
46	C₇×#532	C₂²	1	1	yes	characteristic
47	C₇×#532	C₂²	1	1	yes	characteristic
48	C₂×C₇×#127	C₂²	1	1	yes	characteristic, complemented
49	C₇×#529	C₂²	1	1	yes	characteristic
50	C₇×#529	C₂²	1	1	yes	characteristic
51	C₂×C₇×#125	C₂²	1	1	yes	characteristic, complemented
52	C₇×#525	C₂²	1	1	yes	characteristic
53	C₂×C₇×#123	—	2	1	no	—
54	C₂×C₇×#123	—	2	1	no	—
55	C₂×C₇×#121	—	2	1	no	—
56	C₂×C₇×#121	—	2	1	no	—
57	C₂×C₇×#121	C₂²	1	1	yes	characteristic
58	C₂×C₇×#121	C₂²	1	1	yes	characteristic
59	C₂×C₇×#121	C₂²	1	1	yes	characteristic
60	C₇×#520	C₂²	1	1	yes	characteristic, complemented
61	C₇×#518	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₇×#117	C₂²	1	1	yes	characteristic
65	C₇×#501	C₂²	1	2	yes	complemented
66	C₇×#499	C₂²	1	2	yes	complemented
67	C₇×#496	C₂²	1	2	yes	complemented
68	C₇×#493	C₂²	1	2	yes	complemented
69	C₇×#490	C₂²	1	2	yes	complemented
70	C₇×#490	C₂²	1	2	yes	complemented
71	C₇×#488	C₂²	1	2	yes	complemented
72	C₇×#486	C₂²	1	2	yes	complemented
73	C₇×#484	C₂²	1	1	yes	characteristic, complemented
74	C₇×#483	C₂²	1	1	yes	characteristic, complemented
75	C₇×#482	C₂²	1	2	yes	complemented
76	C₇×#482	C₂²	1	2	yes	complemented
77	C₇×#481	C₂²	1	1	yes	characteristic
78	C₇×#481	C₂²	1	1	yes	characteristic
79	C₇×#481	C₂²	1	1	yes	characteristic, complemented
80	C₇×#481	C₂²	1	2	yes	complemented
81	C₇×#480	C₂²	1	1	yes	characteristic
82	C₇×#480	C₂²	1	1	yes	characteristic
83	C₇×#480	C₂²	1	2	yes	complemented
84	C₇×#480	C₂²	1	1	yes	characteristic, complemented
85	C₇×#479	C₂²	1	2	yes	complemented
86	C₇×#478	C₂²	1	2	yes	complemented
87	C₇×#478	C₂²	1	2	yes	complemented
88	C₇×#478	C₂²	1	2	yes	complemented
89	C₇×#478	C₂²	1	2	yes	complemented
90	C₇×#478	C₂²	1	2	yes	complemented
91	C₇×#476	C₂²	1	2	yes	complemented
92	C₇×#474	C₂²	1	2	yes	complemented
93	C₇×#469	C₂²	1	2	yes	complemented
94	C₇×#469	C₂²	1	2	yes	complemented
95	C₇×#469	C₂²	1	2	yes	complemented
96	C₇×#468	C₂²	1	2	yes	complemented
97	C₇×#466	C₂²	1	2	yes	complemented
98	C₇×#466	C₂²	1	2	yes	complemented
99	C₇×#466	C₂²	1	2	yes	complemented
100	C₇×#465	C₂²	1	2	yes	complemented
101	C₇×#463	C₂²	1	2	yes	complemented
102	C₇×#463	C₂²	1	2	yes	complemented
103	C₇×#460	C₂²	1	2	yes	complemented
104	C₇×#459	C₂²	1	2	yes	complemented
105	C₇×#459	C₂²	1	2	yes	complemented
106	C₇×#459	C₂²	1	2	yes	complemented
107	C₇×#459	C₂²	1	2	yes	complemented
108	C₇×#459	C₂²	1	2	yes	complemented
109	C₇×#450	C₂²	1	1	yes	characteristic, complemented
110	C₇×#450	C₂²	1	1	yes	characteristic, complemented
111	C₇×#449	C₂²	1	2	yes	complemented
112	C₇×#449	C₂²	1	2	yes	complemented
113	C₇×#447	C₂²	1	1	yes	characteristic
114	C₇×#447	C₂²	1	1	yes	characteristic
115	C₇×#447	C₂²	1	1	yes	characteristic
116	C₇×#447	C₂²	1	1	yes	characteristic
117	C₇×#447	C₂²	1	2	yes	complemented
118	C₇×#447	C₂²	1	1	yes	characteristic, complemented
119	C₇×#447	C₂²	1	2	yes	complemented
120	C₇×#447	C₂²	1	1	yes	characteristic, complemented
121	C₇×#442	C₂²	1	2	yes	complemented
122	C₇×#442	C₂²	1	2	yes	complemented
123	C₇×#442	C₂²	1	2	yes	complemented
124	C₇×#440	C₂²	1	2	yes	complemented
125	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
126	C₄×C₇×D₈	C₂²	1	2	yes	complemented
127	C₄×C₇×D₈	C₂²	1	2	yes	complemented
128	C₄×C₇×D₈	C₂²	1	2	yes	complemented
129	C₇×#433	C₂²	1	2	yes	complemented
130	C₇×#433	C₂²	1	2	yes	complemented
131	C₇×#432	C₂²	1	1	yes	characteristic, complemented
132	C₇×#432	C₂²	1	1	yes	characteristic, complemented
133	C₇×#431	C₂²	1	1	yes	characteristic, complemented
134	C₇×#431	C₂²	1	1	yes	characteristic, complemented
135	C₇×#424	C₂²	1	2	yes	complemented
136	C₇×#407	C₂²	1	1	yes	characteristic
137	C₂×C₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
138	C₇×#405	C₂²	1	2	yes	complemented
139	#60978	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	C₂³	1	1	yes	characteristic
143	C₂²×C₇×D₄	—	2	1	no	—
144	C₂²×C₇×D₄	—	2	1	no	—
145	C₂²×C₇×D₄	—	2	1	no	—
146	C₂²×C₇×D₄	—	2	1	no	—
147	C₂²×C₇×D₄	—	2	1	no	—
148	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
149	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
150	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
151	C₂³×C₄×C₇	—	2	1	no	—
152	C₂³×C₄×C₇	—	2	1	no	—
153	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
154	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₇×D₈	C₂³	1	2	yes	—
157	C₂×C₇×D₈	C₂³	1	2	yes	—
158	C₂×C₇×D₈	C₂³	1	2	yes	—
159	C₂×C₇×D₈	C₂³	1	2	yes	—
160	C₂×C₇×D₈	C₂³	1	2	yes	—
161	C₂×C₇×D₈	C₂³	1	2	yes	—
162	C₂×C₇×M₁₆	C₂³	1	2	yes	—
163	C₂²×C₇×C₈	C₂³	1	2	yes	—
164	C₇×C₄⋊Q₈	—	2	1	no	—
165	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₇×#127	—	2	1	no	—
168	C₇×#127	—	2	1	no	—
169	C₇×#127	C₂³	1	2	yes	—
170	C₇×#127	C₂³	1	1	yes	characteristic
171	C₇×#127	C₂³	1	2	yes	—
172	C₇×#127	C₂³	1	1	yes	characteristic
173	C₇×#126	—	2	1	no	—
174	C₇×#126	—	2	1	no	—
175	C₇×#126	—	2	1	no	—
176	C₇×#126	—	2	1	no	—
177	C₇×#125	—	2	1	no	—
178	C₇×#125	—	2	1	no	—
179	C₇×#125	—	2	1	no	—
180	C₇×#125	C₂³	1	1	yes	characteristic
181	C₇×#125	C₂³	1	2	yes	—
182	C₇×#125	C₂³	1	2	yes	—
183	C₇×#125	C₂³	1	1	yes	characteristic
184	C₇×#124	—	2	1	no	—
185	C₇×#124	—	2	1	no	—
186	C₇×#124	—	2	1	no	—
187	C₇×#124	—	2	1	no	—
188	C₇×#124	C₂³	1	1	yes	characteristic
189	C₇×#124	C₂³	1	1	yes	characteristic
190	C₇×#123	—	2	1	no	—
191	C₇×#123	—	2	1	no	—
192	C₇×#123	—	2	1	no	—
193	C₇×#123	—	2	2	no	—
194	C₇×#123	—	2	2	no	—
195	C₇×#123	—	2	2	no	—
196	C₇×#123	—	2	2	no	—
197	C₇×#123	—	2	2	no	—
198	C₇×#123	—	2	2	no	—
199	C₇×#123	—	2	2	no	—
200	C₇×#123	—	2	2	no	—
201	C₇×#123	—	2	1	no	—
202	C₇×#123	—	2	1	no	—
203	C₇×#123	—	2	1	no	—
204	C₇×#123	—	2	1	no	—
205	C₇×#123	—	2	1	no	—
206	C₇×#123	—	2	1	no	—
207	C₇×C₂²⋊Q₈	—	2	1	no	—
208	C₇×C₂²⋊Q₈	—	2	1	no	—
209	C₇×C₂²⋊Q₈	—	2	1	no	—
210	C₇×C₂²⋊Q₈	—	2	1	no	—
211	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
212	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
213	C₇×#121	—	2	1	no	—
214	C₇×#121	—	2	1	no	—
215	C₇×#121	—	2	1	no	—
216	C₇×#121	—	2	1	no	—
217	C₇×#121	—	2	1	no	—
218	C₇×#121	—	2	1	no	—
219	C₇×#121	—	2	1	no	—
220	C₇×#121	—	2	1	no	—
221	C₇×#121	—	2	1	no	—
222	C₇×#121	—	2	1	no	—
223	C₇×#121	—	2	2	no	—
224	C₇×#121	—	2	2	no	—
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	2	no	—
230	C₇×#121	—	2	2	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	C₂³	1	2	yes	—
236	C₇×#121	C₂³	1	1	yes	characteristic
237	C₇×#121	C₂³	1	1	yes	characteristic
238	C₇×#121	C₂³	1	1	yes	characteristic
239	C₇×#121	C₂³	1	2	yes	—
240	C₇×#121	C₂³	1	1	yes	characteristic
241	C₇×#121	C₂³	1	1	yes	characteristic
242	C₇×#121	C₂³	1	1	yes	characteristic
243	C₇×#121	C₂³	1	2	yes	—
244	C₇×#121	C₂³	1	2	yes	—
245	C₇×#120	—	2	1	no	—
246	C₇×#120	—	2	1	no	—
247	C₇×#120	—	2	1	no	—
248	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
249	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
250	C₄×C₇×D₄	—	2	1	no	—
251	C₄×C₇×D₄	—	2	1	no	—
252	C₄×C₇×D₄	—	2	1	no	—
253	C₄×C₇×D₄	—	2	1	no	—
254	C₄×C₇×D₄	—	2	1	no	—
255	C₄×C₇×D₄	—	2	1	no	—
256	C₄×C₇×D₄	—	2	1	no	—
257	C₄×C₇×D₄	—	2	1	no	—
258	C₄×C₇×D₄	—	2	1	no	—
259	C₄×C₇×D₄	—	2	1	no	—
260	C₄×C₇×D₄	—	2	1	no	—
261	C₄×C₇×D₄	—	2	1	no	—
262	C₄×C₇×D₄	—	2	1	no	—
263	C₄×C₇×D₄	—	2	1	no	—
264	C₄×C₇×D₄	C₂³	1	2	yes	—
265	C₄×C₇×D₄	C₂³	1	2	yes	—
266	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
267	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
268	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
269	C₄×C₇×D₄	C₂³	1	2	yes	—
270	C₄×C₇×D₄	C₂³	1	2	yes	—
271	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
272	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
273	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
274	C₇×#117	—	2	1	no	—
275	C₇×#117	—	2	1	no	—
276	C₇×#117	—	2	1	no	—
277	C₇×#117	D₄	1	1	yes	characteristic
278	C₇×#117	D₄	1	1	yes	characteristic
279	C₇×#117	D₄	1	1	yes	characteristic
280	C₇×#117	D₄	1	1	yes	characteristic
281	C₇×#117	C₂³	1	1	yes	characteristic
282	C₇×#117	C₂³	1	1	yes	characteristic
283	C₇×#117	C₂³	1	1	yes	characteristic
284	C₇×#117	C₂³	1	1	yes	characteristic
285	C₇×#117	C₂³	1	1	yes	characteristic
286	C₂×C₇×C₄⋊C₄	—	2	1	no	—
287	C₂×C₇×C₄⋊C₄	—	2	1	no	—
288	C₂×C₇×C₄⋊C₄	—	2	1	no	—
289	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
290	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
291	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
295	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
296	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
297	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
298	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
299	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
300	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
301	C₂×C₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
302	C₂×C₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
303	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
305	C₇×#107	C₂³	1	2	yes	—
306	C₇×#107	C₂³	1	2	yes	—
307	C₇×#107	C₂³	1	2	yes	—
308	C₇×#107	C₂³	1	2	yes	—
309	C₇×#106	C₂³	1	2	yes	—
310	C₇×#106	C₂³	1	2	yes	—
311	C₇×#106	C₂³	1	2	yes	—
312	C₇×#106	C₂³	1	2	yes	—
313	C₇×C₄⋊C₈	C₂³	1	2	yes	—
314	C₇×C₄⋊C₈	C₂³	1	2	yes	—
315	C₇×C₄⋊C₈	C₂³	1	2	yes	—
316	C₇×C₄⋊C₈	C₂³	1	2	yes	—
317	C₇×#103	C₂³	1	2	yes	—
318	C₇×#103	C₂³	1	2	yes	—
319	C₇×#102	C₂³	1	2	yes	—
320	C₇×#102	C₂³	1	2	yes	—
321	C₇×#102	C₂³	1	2	yes	—
322	C₇×#102	C₂³	1	2	yes	—
323	C₇×#102	C₂³	1	2	yes	—
324	C₇×#102	C₂³	1	2	yes	—
325	C₇×#102	C₂³	1	2	yes	—
326	C₇×#102	C₂³	1	2	yes	—
327	C₇×#102	C₂³	1	2	yes	—
328	C₇×#102	C₂³	1	2	yes	—
329	C₇×#102	C₂³	1	2	yes	—
330	C₇×#102	C₂³	1	2	yes	—
331	C₇×#102	C₂³	1	2	yes	—
332	C₇×#102	C₂³	1	2	yes	—
333	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
334	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
335	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
336	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
337	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
338	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
339	C₇×#97	C₂³	1	2	yes	—
340	C₇×#97	C₂³	1	2	yes	—
341	C₄×C₇×C₈	C₂³	1	2	yes	—
342	C₄×C₇×C₈	C₂³	1	2	yes	—
343	#3494	C₂×C₇	1	1	yes	characteristic, complemented
344	C₂×#540	C₂×C₇	1	1	yes	characteristic, complemented
345	#3259	C₂×C₇	1	2	yes	complemented
346	#3257	C₂×C₇	1	2	yes	complemented
347	#3241	C₂×C₇	1	2	yes	complemented
348	#3234	C₂×C₇	1	1	yes	characteristic, complemented
349	#3232	C₂×C₇	1	1	yes	characteristic, complemented
350	#3220	C₂×C₇	1	2	yes	complemented
351	#3217	C₂×C₇	1	1	yes	characteristic, complemented
352	#3205	C₂×C₇	1	1	yes	characteristic, complemented
353	#3194	C₂×C₇	1	1	yes	characteristic, complemented
354	#3192	C₂×C₇	1	1	yes	characteristic, complemented
355	#3188	C₂×C₇	1	1	yes	characteristic, complemented
356	#3186	C₂×C₇	1	1	yes	characteristic, complemented
357	#3179	C₂×C₇	1	2	yes	complemented
358	#3176	C₂×C₇	1	2	yes	complemented
359	#3122	C₂×C₇	1	2	yes	complemented
360	#3119	C₂×C₇	1	2	yes	complemented
361	#3114	C₂×C₇	1	1	yes	characteristic, complemented
362	#3109	C₂×C₇	1	1	yes	characteristic, complemented
363	#3105	C₂×C₇	1	1	yes	characteristic, complemented
364	#3100	C₂×C₇	1	1	yes	characteristic, complemented
365	#2924	C₂×C₇	1	1	yes	characteristic, complemented
366	C₂⁴×C₇	—	2	1	no	—
367	C₂⁴×C₇	—	2	1	no	—
368	C₂⁴×C₇	—	2	1	no	—
369	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
370	C₇×#41	—	4	2	no	—
371	C₇×#41	—	8	2	no	—
372	C₇×#41	—	8	2	no	—
373	C₂×C₇×Q₈	—	2	1	no	—
374	C₂×C₇×Q₈	—	2	1	no	—
375	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
376	C₂×C₇×D₄	—	2	1	no	—
377	C₂×C₇×D₄	—	2	1	no	—
378	C₂×C₇×D₄	—	2	1	no	—
379	C₂×C₇×D₄	—	2	1	no	—
380	C₂×C₇×D₄	—	2	1	no	—
381	C₂×C₇×D₄	—	2	2	no	—
382	C₂×C₇×D₄	—	2	2	no	—
383	C₂×C₇×D₄	—	2	2	no	—
384	C₂×C₇×D₄	—	2	2	no	—
385	C₂×C₇×D₄	—	2	1	no	—
386	C₂×C₇×D₄	—	2	1	no	—
387	C₂×C₇×D₄	—	2	1	no	—
388	C₂×C₇×D₄	—	2	1	no	—
389	C₂×C₇×D₄	—	2	1	no	—
390	C₂×C₇×D₄	—	2	1	no	—
391	C₂×C₇×D₄	—	2	1	no	—
392	C₂×C₇×D₄	—	2	1	no	—
393	C₂×C₇×D₄	—	2	1	no	—
394	C₂×C₇×D₄	—	2	2	no	—
395	C₂×C₇×D₄	—	2	2	no	—
396	C₂×C₇×D₄	—	2	2	no	—
397	C₂×C₇×D₄	—	2	2	no	—
398	C₂×C₇×D₄	—	4	2	no	—
399	C₂×C₇×D₄	—	4	2	no	—
400	C₂×C₇×D₄	—	4	2	no	—
401	C₂×C₇×D₄	—	8	2	no	—
402	C₂×C₇×D₄	—	8	2	no	—
403	C₂×C₇×D₄	—	8	2	no	—
404	C₂×C₇×D₄	—	8	2	no	—
405	C₂×C₇×D₄	—	8	2	no	—
406	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
407	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
408	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
409	C₂×C₇×D₄	C₂⁴	1	2	yes	—
410	C₂×C₇×D₄	C₂⁴	1	2	yes	—
411	C₂²×C₄×C₇	—	2	1	no	—
412	C₂²×C₄×C₇	—	2	1	no	—
413	C₂²×C₄×C₇	—	2	1	no	—
414	C₂²×C₄×C₇	—	2	1	no	—
415	C₂²×C₄×C₇	—	2	1	no	—
416	C₂²×C₄×C₇	—	2	1	no	—
417	C₂²×C₄×C₇	—	2	1	no	—
418	C₂²×C₄×C₇	—	2	1	no	—
419	C₂²×C₄×C₇	—	2	1	no	—
420	C₂²×C₄×C₇	—	2	1	no	—
421	C₂²×C₄×C₇	—	2	2	no	—
422	C₂²×C₄×C₇	—	2	2	no	—
423	C₂²×C₄×C₇	—	2	2	no	—
424	C₂²×C₄×C₇	—	2	2	no	—
425	C₂²×C₄×C₇	—	4	2	no	—
426	C₂²×C₄×C₇	—	8	2	no	—
427	C₂²×C₄×C₇	—	8	2	no	—
428	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
429	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
430	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
431	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
432	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
433	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
434	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
435	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
437	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
438	C₇×SD₁₆	—	4	2	no	—
439	C₇×SD₁₆	—	4	2	no	—
440	C₇×D₈	—	4	2	no	—
441	C₇×D₈	—	4	2	no	—
442	C₇×D₈	—	4	2	no	—
443	C₇×D₈	—	4	2	no	—
444	C₇×D₈	—	4	2	no	—
445	C₇×D₈	—	4	2	no	—
446	C₇×M₁₆	—	4	2	no	—
447	C₂×C₇×C₈	—	4	2	no	—
448	C₂×C₇×C₈	C₂⁴	1	2	yes	—
449	C₂×C₇×C₈	C₂⁴	1	2	yes	—
450	C₂×C₇×C₈	C₂⁴	1	2	yes	—
451	C₂×C₇×C₈	C₂⁴	1	2	yes	—
452	C₇×C₄⋊C₄	—	2	1	no	—
453	C₇×C₄⋊C₄	—	2	1	no	—
454	C₇×C₄⋊C₄	—	2	1	no	—
455	C₇×C₄⋊C₄	—	2	2	no	—
456	C₇×C₄⋊C₄	—	2	2	no	—
457	C₇×C₄⋊C₄	—	2	2	no	—
458	C₇×C₄⋊C₄	—	2	2	no	—
459	C₇×C₄⋊C₄	—	2	1	no	—
460	C₇×C₄⋊C₄	—	2	1	no	—
461	C₇×C₄⋊C₄	—	2	1	no	—
462	C₇×C₄⋊C₄	—	2	1	no	—
463	C₇×C₄⋊C₄	—	2	1	no	—
464	C₇×C₄⋊C₄	—	2	1	no	—
465	C₇×C₄⋊C₄	—	2	1	no	—
466	C₇×C₄⋊C₄	—	2	1	no	—
467	C₇×C₄⋊C₄	—	2	1	no	—
468	C₇×C₄⋊C₄	—	2	1	no	—
469	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
470	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
471	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
472	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
473	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
474	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
475	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
476	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
477	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
478	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
479	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
480	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
481	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
482	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
483	C₇×C₂²⋊C₄	—	2	1	no	—
484	C₇×C₂²⋊C₄	—	2	1	no	—
485	C₇×C₂²⋊C₄	—	2	1	no	—
486	C₇×C₂²⋊C₄	—	2	1	no	—
487	C₇×C₂²⋊C₄	—	2	1	no	—
488	C₇×C₂²⋊C₄	—	2	2	no	—
489	C₇×C₂²⋊C₄	—	2	2	no	—
490	C₇×C₂²⋊C₄	—	2	2	no	—
491	C₇×C₂²⋊C₄	—	2	2	no	—
492	C₇×C₂²⋊C₄	—	2	1	no	—
493	C₇×C₂²⋊C₄	—	2	1	no	—
494	C₇×C₂²⋊C₄	—	2	1	no	—
495	C₇×C₂²⋊C₄	—	2	1	no	—
496	C₇×C₂²⋊C₄	—	2	1	no	—
497	C₇×C₂²⋊C₄	—	2	1	no	—
498	C₇×C₂²⋊C₄	—	2	2	no	—
499	C₇×C₂²⋊C₄	—	2	2	no	—
500	C₇×C₂²⋊C₄	—	2	2	no	—
501	C₇×C₂²⋊C₄	—	2	2	no	—
502	C₇×C₂²⋊C₄	—	2	1	no	—
503	C₇×C₂²⋊C₄	—	2	1	no	—
504	C₇×C₂²⋊C₄	—	2	1	no	—
505	C₇×C₂²⋊C₄	—	2	1	no	—
506	C₇×C₂²⋊C₄	—	2	1	no	—
507	C₇×C₂²⋊C₄	—	2	1	no	—
508	C₇×C₂²⋊C₄	—	2	1	no	—
509	C₇×C₂²⋊C₄	—	2	1	no	—
510	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
511	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
512	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
513	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
514	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
515	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
516	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
517	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
518	C₄²×C₇	—	2	1	no	—
519	C₄²×C₇	—	2	1	no	—
520	C₄²×C₇	—	2	1	no	—
521	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
522	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
523	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
524	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
525	C₄²×C₇	C₂⁴	1	1	yes	characteristic
526	C₄²×C₇	C₂⁴	1	1	yes	characteristic
527	C₄²×C₇	C₂⁴	1	1	yes	characteristic
528	C₄²×C₇	C₂⁴	1	1	yes	characteristic
529	#555	—	2	1	no	—
530	#553	—	2	1	no	—
531	#553	—	2	1	no	—
532	#551	—	2	1	no	—
533	#551	—	2	1	no	—
534	#547	—	2	1	no	—
535	#546	—	2	1	no	—
536	#546	—	2	1	no	—
537	#544	C₂²×C₇	1	1	yes	characteristic, complemented
538	#542	C₂²×C₇	1	1	yes	characteristic, complemented
539	#542	C₂²×C₇	1	1	yes	characteristic, complemented
540	#540	—	2	1	no	—
541	#540	—	2	1	no	—
542	#540	—	2	1	no	—
543	#540	—	2	1	no	—
544	#540	C₂²×C₇	1	2	yes	—
545	#540	C₂²×C₇	1	2	yes	—
546	#540	C₂²×C₇	1	1	yes	characteristic, complemented
547	#540	C₂²×C₇	1	2	yes	complemented
548	#540	C₂²×C₇	1	2	yes	complemented
549	#540	C₂²×C₇	1	1	yes	characteristic, complemented
550	#535	C₂²×C₇	1	1	yes	characteristic, complemented
551	#532	C₂²×C₇	1	1	yes	characteristic
552	#532	C₂²×C₇	1	1	yes	characteristic
553	C₂×#127	C₂²×C₇	1	1	yes	characteristic, complemented
554	#529	C₂²×C₇	1	1	yes	characteristic
555	#529	C₂²×C₇	1	1	yes	characteristic
556	C₂×#125	C₂²×C₇	1	1	yes	characteristic, complemented
557	#525	C₂²×C₇	1	1	yes	characteristic
558	C₂×#123	—	2	1	no	—
559	C₂×#123	—	2	1	no	—
560	C₂×#121	—	2	1	no	—
561	C₂×#121	—	2	1	no	—
562	C₂×#121	C₂²×C₇	1	1	yes	characteristic
563	C₂×#121	C₂²×C₇	1	1	yes	characteristic
564	C₂×#121	C₂²×C₇	1	1	yes	characteristic
565	#520	C₂²×C₇	1	1	yes	characteristic, complemented
566	#518	C₂²×C₇	1	1	yes	characteristic, complemented
567	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
568	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
569	C₂×#117	C₂²×C₇	1	1	yes	characteristic
570	#501	C₂²×C₇	1	2	yes	complemented
571	#499	C₂²×C₇	1	2	yes	complemented
572	#496	C₂²×C₇	1	2	yes	complemented
573	#493	C₂²×C₇	1	2	yes	complemented
574	#490	C₂²×C₇	1	2	yes	complemented
575	#490	C₂²×C₇	1	2	yes	complemented
576	#488	C₂²×C₇	1	2	yes	complemented
577	#486	C₂²×C₇	1	2	yes	complemented
578	#484	C₂²×C₇	1	1	yes	characteristic, complemented
579	#483	C₂²×C₇	1	1	yes	characteristic, complemented
580	#482	C₂²×C₇	1	2	yes	complemented
581	#482	C₂²×C₇	1	2	yes	complemented
582	#481	C₂²×C₇	1	1	yes	characteristic
583	#481	C₂²×C₇	1	1	yes	characteristic
584	#481	C₂²×C₇	1	1	yes	characteristic, complemented
585	#481	C₂²×C₇	1	2	yes	complemented
586	#480	C₂²×C₇	1	1	yes	characteristic
587	#480	C₂²×C₇	1	1	yes	characteristic
588	#480	C₂²×C₇	1	1	yes	characteristic, complemented
589	#480	C₂²×C₇	1	2	yes	complemented
590	#479	C₂²×C₇	1	2	yes	complemented
591	#478	C₂²×C₇	1	2	yes	complemented
592	#478	C₂²×C₇	1	2	yes	complemented
593	#478	C₂²×C₇	1	2	yes	complemented
594	#478	C₂²×C₇	1	2	yes	complemented
595	#478	C₂²×C₇	1	2	yes	complemented
596	#476	C₂²×C₇	1	2	yes	complemented
597	#474	C₂²×C₇	1	2	yes	complemented
598	#469	C₂²×C₇	1	2	yes	complemented
599	#469	C₂²×C₇	1	2	yes	complemented
600	#469	C₂²×C₇	1	2	yes	complemented
601	#468	C₂²×C₇	1	2	yes	complemented
602	#466	C₂²×C₇	1	2	yes	complemented
603	#466	C₂²×C₇	1	2	yes	complemented
604	#466	C₂²×C₇	1	2	yes	complemented
605	#465	C₂²×C₇	1	2	yes	complemented
606	#463	C₂²×C₇	1	2	yes	complemented
607	#463	C₂²×C₇	1	2	yes	complemented
608	#460	C₂²×C₇	1	2	yes	complemented
609	#459	C₂²×C₇	1	2	yes	complemented
610	#459	C₂²×C₇	1	2	yes	complemented
611	#459	C₂²×C₇	1	2	yes	complemented
612	#459	C₂²×C₇	1	2	yes	complemented
613	#459	C₂²×C₇	1	2	yes	complemented
614	#450	C₂²×C₇	1	1	yes	characteristic, complemented
615	#450	C₂²×C₇	1	1	yes	characteristic, complemented
616	#449	C₂²×C₇	1	2	yes	complemented
617	#449	C₂²×C₇	1	2	yes	complemented
618	#447	C₂²×C₇	1	1	yes	characteristic
619	#447	C₂²×C₇	1	1	yes	characteristic
620	#447	C₂²×C₇	1	1	yes	characteristic
621	#447	C₂²×C₇	1	1	yes	characteristic
622	#447	C₂²×C₇	1	1	yes	characteristic, complemented
623	#447	C₂²×C₇	1	1	yes	characteristic, complemented
624	#447	C₂²×C₇	1	2	yes	complemented
625	#447	C₂²×C₇	1	2	yes	complemented
626	#442	C₂²×C₇	1	2	yes	complemented
627	#442	C₂²×C₇	1	2	yes	complemented
628	#442	C₂²×C₇	1	2	yes	complemented
629	#440	C₂²×C₇	1	2	yes	complemented
630	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
631	C₄×D₈	C₂²×C₇	1	2	yes	complemented
632	C₄×D₈	C₂²×C₇	1	2	yes	complemented
633	C₄×D₈	C₂²×C₇	1	2	yes	complemented
634	#433	C₂²×C₇	1	2	yes	complemented
635	#433	C₂²×C₇	1	2	yes	complemented
636	#432	C₂²×C₇	1	1	yes	characteristic, complemented
637	#432	C₂²×C₇	1	1	yes	characteristic, complemented
638	#431	C₂²×C₇	1	1	yes	characteristic, complemented
639	#431	C₂²×C₇	1	1	yes	characteristic, complemented
640	#424	C₂²×C₇	1	2	yes	complemented
641	#407	C₂²×C₇	1	1	yes	characteristic
642	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic
643	#405	C₂²×C₇	1	2	yes	complemented
644	C₂³×C₇	—	2	2	no	—
645	C₂³×C₇	—	2	1	no	—
646	C₂³×C₇	—	2	1	no	—
647	C₂³×C₇	—	2	1	no	—
648	C₂³×C₇	—	2	2	no	—
649	C₂³×C₇	—	2	2	no	—
650	C₂³×C₇	—	4	1	no	—
651	C₂³×C₇	—	4	1	no	—
652	C₂³×C₇	—	4	2	no	—
653	C₂³×C₇	—	4	2	no	—
654	C₂³×C₇	—	4	2	no	—
655	C₂³×C₇	—	4	2	no	—
656	C₂³×C₇	—	4	2	no	—
657	C₂³×C₇	—	4	2	no	—
658	C₂³×C₇	—	4	2	no	—
659	C₂³×C₇	—	8	1	no	—
660	C₂³×C₇	—	8	1	no	—
661	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
662	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
663	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
664	C₇×Q₈	—	2	2	no	—
665	C₇×Q₈	—	8	1	no	—
666	C₇×Q₈	—	8	1	no	—
667	C₇×D₄	—	2	2	no	—
668	C₇×D₄	—	2	2	no	—
669	C₇×D₄	—	2	2	no	—
670	C₇×D₄	—	2	2	no	—
671	C₇×D₄	—	2	2	no	—
672	C₇×D₄	—	2	2	no	—
673	C₇×D₄	—	2	2	no	—
674	C₇×D₄	—	4	2	no	—
675	C₇×D₄	—	4	2	no	—
676	C₇×D₄	—	4	2	no	—
677	C₇×D₄	—	4	2	no	—
678	C₇×D₄	—	4	2	no	—
679	C₇×D₄	—	4	2	no	—
680	C₇×D₄	—	4	2	no	—
681	C₇×D₄	—	8	1	no	—
682	C₇×D₄	—	8	1	no	—
683	C₇×D₄	—	8	2	no	—
684	C₇×D₄	—	8	2	no	—
685	C₇×D₄	—	8	2	no	—
686	C₇×D₄	—	8	2	no	—
687	C₇×D₄	—	8	1	no	—
688	C₇×D₄	—	8	1	no	—
689	C₇×D₄	—	8	1	no	—
690	C₇×D₄	—	8	2	no	—
691	C₇×D₄	—	8	2	no	—
692	C₇×D₄	—	8	2	no	—
693	C₇×D₄	—	8	2	no	—
694	C₇×D₄	—	8	1	no	—
695	C₇×D₄	—	8	1	no	—
696	C₂×C₄×C₇	—	2	2	no	—
697	C₂×C₄×C₇	—	2	2	no	—
698	C₂×C₄×C₇	—	2	2	no	—
699	C₂×C₄×C₇	—	2	2	no	—
700	C₂×C₄×C₇	—	2	2	no	—
701	C₂×C₄×C₇	—	2	1	no	—
702	C₂×C₄×C₇	—	2	1	no	—
703	C₂×C₄×C₇	—	2	1	no	—
704	C₂×C₄×C₇	—	2	1	no	—
705	C₂×C₄×C₇	—	2	1	no	—
706	C₂×C₄×C₇	—	2	2	no	—
707	C₂×C₄×C₇	—	2	2	no	—
708	C₂×C₄×C₇	—	4	1	no	—
709	C₂×C₄×C₇	—	4	1	no	—
710	C₂×C₄×C₇	—	4	1	no	—
711	C₂×C₄×C₇	—	4	1	no	—
712	C₂×C₄×C₇	—	4	1	no	—
713	C₂×C₄×C₇	—	4	2	no	—
714	C₂×C₄×C₇	—	4	2	no	—
715	C₂×C₄×C₇	—	4	2	no	—
716	C₂×C₄×C₇	—	8	1	no	—
717	C₂×C₄×C₇	—	8	1	no	—
718	C₂×C₄×C₇	—	8	2	no	—
719	C₂×C₄×C₇	—	8	2	no	—
720	C₂×C₄×C₇	—	8	2	no	—
721	C₂×C₄×C₇	—	8	2	no	—
722	C₂×C₄×C₇	—	8	1	no	—
723	C₂×C₄×C₇	—	8	1	no	—
724	C₂×C₄×C₇	—	8	1	no	—
725	C₂×C₄×C₇	—	8	1	no	—
726	C₂×C₄×C₇	—	8	1	no	—
727	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
728	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
729	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
730	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
731	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
732	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
733	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
734	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
735	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
736	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
737	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
738	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
739	C₇×C₈	—	2	2	no	—
740	C₇×C₈	—	2	2	no	—
741	C₇×C₈	—	2	2	no	—
742	C₇×C₈	—	2	2	no	—
743	C₂×#41	—	2	1	no	—
744	C₂×#41	—	2	1	no	—
745	C₂×#41	C₂³×C₇	1	1	yes	characteristic
746	C₂²×D₄	—	2	1	no	—
747	C₂²×D₄	—	2	1	no	—
748	C₂²×D₄	—	2	1	no	—
749	C₂²×D₄	—	2	1	no	—
750	C₂²×D₄	—	2	1	no	—
751	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
752	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
753	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
754	C₂³×C₄	—	2	1	no	—
755	C₂³×C₄	—	2	1	no	—
756	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
757	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
758	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
759	C₂×D₈	C₂³×C₇	1	2	yes	—
760	C₂×D₈	C₂³×C₇	1	2	yes	—
761	C₂×D₈	C₂³×C₇	1	2	yes	—
762	C₂×D₈	C₂³×C₇	1	2	yes	—
763	C₂×D₈	C₂³×C₇	1	2	yes	—
764	C₂×D₈	C₂³×C₇	1	2	yes	—
765	C₂×M₁₆	C₂³×C₇	1	2	yes	—
766	C₂²×C₈	C₂³×C₇	1	2	yes	—
767	C₄⋊Q₈	—	2	1	no	—
768	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
769	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
770	#127	—	2	1	no	—
771	#127	—	2	1	no	—
772	#127	C₂³×C₇	1	2	yes	—
773	#127	C₂³×C₇	1	2	yes	—
774	#127	C₂³×C₇	1	1	yes	characteristic
775	#127	C₂³×C₇	1	1	yes	characteristic
776	#126	—	2	1	no	—
777	#126	—	2	1	no	—
778	#126	—	2	1	no	—
779	#126	—	2	1	no	—
780	#125	—	2	1	no	—
781	#125	—	2	1	no	—
782	#125	—	2	1	no	—
783	#125	C₂³×C₇	1	2	yes	—
784	#125	C₂³×C₇	1	2	yes	—
785	#125	C₂³×C₇	1	1	yes	characteristic
786	#125	C₂³×C₇	1	1	yes	characteristic
787	#124	—	2	1	no	—
788	#124	—	2	1	no	—
789	#124	—	2	1	no	—
790	#124	—	2	1	no	—
791	#124	C₂³×C₇	1	1	yes	characteristic
792	#124	C₂³×C₇	1	1	yes	characteristic
793	#123	—	2	1	no	—
794	#123	—	2	1	no	—
795	#123	—	2	1	no	—
796	#123	—	2	2	no	—
797	#123	—	2	2	no	—
798	#123	—	2	2	no	—
799	#123	—	2	2	no	—
800	#123	—	2	2	no	—
801	#123	—	2	2	no	—
802	#123	—	2	2	no	—
803	#123	—	2	2	no	—
804	#123	—	2	1	no	—
805	#123	—	2	1	no	—
806	#123	—	2	1	no	—
807	#123	—	2	1	no	—
808	#123	—	2	1	no	—
809	#123	—	2	1	no	—
810	C₂²⋊Q₈	—	2	1	no	—
811	C₂²⋊Q₈	—	2	1	no	—
812	C₂²⋊Q₈	—	2	1	no	—
813	C₂²⋊Q₈	—	2	1	no	—
814	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
815	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
816	#121	—	2	1	no	—
817	#121	—	2	1	no	—
818	#121	—	2	1	no	—
819	#121	—	2	1	no	—
820	#121	—	2	1	no	—
821	#121	—	2	1	no	—
822	#121	—	2	1	no	—
823	#121	—	2	1	no	—
824	#121	—	2	1	no	—
825	#121	—	2	1	no	—
826	#121	—	2	2	no	—
827	#121	—	2	2	no	—
828	#121	—	2	2	no	—
829	#121	—	2	2	no	—
830	#121	—	2	2	no	—
831	#121	—	2	2	no	—
832	#121	—	2	2	no	—
833	#121	—	2	2	no	—
834	#121	—	2	1	no	—
835	#121	—	2	1	no	—
836	#121	—	2	1	no	—
837	#121	—	2	1	no	—
838	#121	C₂³×C₇	1	1	yes	characteristic
839	#121	C₂³×C₇	1	1	yes	characteristic
840	#121	C₂³×C₇	1	2	yes	—
841	#121	C₂³×C₇	1	2	yes	—
842	#121	C₂³×C₇	1	2	yes	—
843	#121	C₂³×C₇	1	2	yes	—
844	#121	C₂³×C₇	1	1	yes	characteristic
845	#121	C₂³×C₇	1	1	yes	characteristic
846	#121	C₂³×C₇	1	1	yes	characteristic
847	#121	C₂³×C₇	1	1	yes	characteristic
848	#120	—	2	1	no	—
849	#120	—	2	1	no	—
850	#120	—	2	1	no	—
851	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
852	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
853	C₄×D₄	—	2	1	no	—
854	C₄×D₄	—	2	1	no	—
855	C₄×D₄	—	2	1	no	—
856	C₄×D₄	—	2	1	no	—
857	C₄×D₄	—	2	1	no	—
858	C₄×D₄	—	2	1	no	—
859	C₄×D₄	—	2	1	no	—
860	C₄×D₄	—	2	1	no	—
861	C₄×D₄	—	2	1	no	—
862	C₄×D₄	—	2	1	no	—
863	C₄×D₄	—	2	1	no	—
864	C₄×D₄	—	2	1	no	—
865	C₄×D₄	—	2	1	no	—
866	C₄×D₄	—	2	1	no	—
867	C₄×D₄	C₂³×C₇	1	2	yes	—
868	C₄×D₄	C₂³×C₇	1	2	yes	—
869	C₄×D₄	C₂³×C₇	1	2	yes	—
870	C₄×D₄	C₂³×C₇	1	2	yes	—
871	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
872	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
873	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
874	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
875	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
876	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
877	#117	—	2	1	no	—
878	#117	—	2	1	no	—
879	#117	—	2	1	no	—
880	#117	C₇×D₄	1	1	yes	characteristic
881	#117	C₇×D₄	1	1	yes	characteristic
882	#117	C₇×D₄	1	1	yes	characteristic
883	#117	C₇×D₄	1	1	yes	characteristic
884	#117	C₂³×C₇	1	1	yes	characteristic
885	#117	C₂³×C₇	1	1	yes	characteristic
886	#117	C₂³×C₇	1	1	yes	characteristic
887	#117	C₂³×C₇	1	1	yes	characteristic
888	#117	C₂³×C₇	1	1	yes	characteristic
889	C₂×C₄⋊C₄	—	2	1	no	—
890	C₂×C₄⋊C₄	—	2	1	no	—
891	C₂×C₄⋊C₄	—	2	1	no	—
892	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
895	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
897	C₂×C₂²⋊C₄	—	2	1	no	—
898	C₂×C₂²⋊C₄	—	2	1	no	—
899	C₂×C₂²⋊C₄	—	2	1	no	—
900	C₂×C₂²⋊C₄	—	2	1	no	—
901	C₂×C₂²⋊C₄	—	2	1	no	—
902	C₂×C₂²⋊C₄	—	2	1	no	—
903	C₂×C₂²⋊C₄	—	2	1	no	—
904	C₂×C₂²⋊C₄	C₇×D₄	1	1	yes	characteristic
905	C₂×C₂²⋊C₄	C₇×D₄	1	1	yes	characteristic
906	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
907	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
908	#107	C₂³×C₇	1	2	yes	—
909	#107	C₂³×C₇	1	2	yes	—
910	#107	C₂³×C₇	1	2	yes	—
911	#107	C₂³×C₇	1	2	yes	—
912	#106	C₂³×C₇	1	2	yes	—
913	#106	C₂³×C₇	1	2	yes	—
914	#106	C₂³×C₇	1	2	yes	—
915	#106	C₂³×C₇	1	2	yes	—
916	C₄⋊C₈	C₂³×C₇	1	2	yes	—
917	C₄⋊C₈	C₂³×C₇	1	2	yes	—
918	C₄⋊C₈	C₂³×C₇	1	2	yes	—
919	C₄⋊C₈	C₂³×C₇	1	2	yes	—
920	#103	C₂³×C₇	1	2	yes	—
921	#103	C₂³×C₇	1	2	yes	—
922	#102	C₂³×C₇	1	2	yes	—
923	#102	C₂³×C₇	1	2	yes	—
924	#102	C₂³×C₇	1	2	yes	—
925	#102	C₂³×C₇	1	2	yes	—
926	#102	C₂³×C₇	1	2	yes	—
927	#102	C₂³×C₇	1	2	yes	—
928	#102	C₂³×C₇	1	2	yes	—
929	#102	C₂³×C₇	1	2	yes	—
930	#102	C₂³×C₇	1	2	yes	—
931	#102	C₂³×C₇	1	2	yes	—
932	#102	C₂³×C₇	1	2	yes	—
933	#102	C₂³×C₇	1	2	yes	—
934	#102	C₂³×C₇	1	2	yes	—
935	#102	C₂³×C₇	1	2	yes	—
936	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
937	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
938	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
939	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
940	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
941	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
942	#97	C₂³×C₇	1	2	yes	—
943	#97	C₂³×C₇	1	2	yes	—
944	C₄×C₈	C₂³×C₇	1	2	yes	—
945	C₄×C₈	C₂³×C₇	1	2	yes	—
946	C₂²×C₇	—	2	1	no	—
947	C₂²×C₇	—	2	1	no	—
948	C₂²×C₇	—	2	1	no	—
949	C₂²×C₇	—	2	1	no	—
950	C₂²×C₇	—	2	1	no	—
951	C₂²×C₇	—	2	1	no	—
952	C₂²×C₇	—	2	1	no	—
953	C₂²×C₇	—	2	1	no	—
954	C₂²×C₇	—	4	2	no	—
955	C₂²×C₇	—	4	1	no	—
956	C₂²×C₇	—	4	1	no	—
957	C₂²×C₇	—	4	2	no	—
958	C₂²×C₇	—	4	1	no	—
959	C₂²×C₇	—	4	1	no	—
960	C₂²×C₇	—	4	2	no	—
961	C₂²×C₇	—	4	2	no	—
962	C₂²×C₇	—	4	1	no	—
963	C₂²×C₇	—	4	1	no	—
964	C₂²×C₇	—	4	1	no	—
965	C₂²×C₇	—	4	2	no	—
966	C₂²×C₇	—	4	1	no	—
967	C₂²×C₇	—	4	1	no	—
968	C₂²×C₇	—	4	2	no	—
969	C₂²×C₇	—	8	2	no	—
970	C₂²×C₇	—	8	4	no	—
971	C₂²×C₇	—	8	4	no	—
972	C₂²×C₇	—	16	2	no	—
973	C₂²×C₇	#576	1	2	yes	—
974	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
975	C₄×C₇	—	2	1	no	—
976	C₄×C₇	—	2	1	no	—
977	C₄×C₇	—	2	1	no	—
978	C₄×C₇	—	2	1	no	—
979	C₄×C₇	—	2	1	no	—
980	C₄×C₇	—	2	1	no	—
981	C₄×C₇	—	2	1	no	—
982	C₄×C₇	—	2	1	no	—
983	C₄×C₇	—	2	1	no	—
984	C₄×C₇	—	2	1	no	—
985	C₄×C₇	—	2	1	no	—
986	C₄×C₇	—	4	2	no	—
987	C₄×C₇	—	4	1	no	—
988	C₄×C₇	—	4	1	no	—
989	C₄×C₇	—	4	2	no	—
990	C₄×C₇	—	4	1	no	—
991	C₄×C₇	—	4	1	no	—
992	C₄×C₇	—	4	1	no	—
993	C₄×C₇	#585	1	2	yes	—
994	C₂⁴	—	2	1	no	—
995	C₂⁴	—	2	1	no	—
996	C₂⁴	—	2	1	no	—
997	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
998	#41	—	4	2	no	—
999	#41	—	8	2	no	—
1000	#41	—	8	2	no	—
1001	C₂×Q₈	—	2	1	no	—
1002	C₂×Q₈	—	2	1	no	—
1003	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1004	C₂×D₄	—	2	1	no	—
1005	C₂×D₄	—	2	1	no	—
1006	C₂×D₄	—	2	1	no	—
1007	C₂×D₄	—	2	1	no	—
1008	C₂×D₄	—	2	1	no	—
1009	C₂×D₄	—	2	2	no	—
1010	C₂×D₄	—	2	2	no	—
1011	C₂×D₄	—	2	2	no	—
1012	C₂×D₄	—	2	2	no	—
1013	C₂×D₄	—	2	1	no	—
1014	C₂×D₄	—	2	1	no	—
1015	C₂×D₄	—	2	1	no	—
1016	C₂×D₄	—	2	1	no	—
1017	C₂×D₄	—	2	1	no	—
1018	C₂×D₄	—	2	1	no	—
1019	C₂×D₄	—	2	1	no	—
1020	C₂×D₄	—	2	1	no	—
1021	C₂×D₄	—	2	1	no	—
1022	C₂×D₄	—	2	2	no	—
1023	C₂×D₄	—	2	2	no	—
1024	C₂×D₄	—	2	2	no	—
1025	C₂×D₄	—	2	2	no	—
1026	C₂×D₄	—	4	2	no	—
1027	C₂×D₄	—	4	2	no	—
1028	C₂×D₄	—	4	2	no	—
1029	C₂×D₄	—	8	2	no	—
1030	C₂×D₄	—	8	2	no	—
1031	C₂×D₄	—	8	2	no	—
1032	C₂×D₄	—	8	2	no	—
1033	C₂×D₄	—	8	2	no	—
1034	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1035	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1036	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1037	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1038	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1039	C₂²×C₄	—	2	1	no	—
1040	C₂²×C₄	—	2	1	no	—
1041	C₂²×C₄	—	2	1	no	—
1042	C₂²×C₄	—	2	1	no	—
1043	C₂²×C₄	—	2	1	no	—
1044	C₂²×C₄	—	2	1	no	—
1045	C₂²×C₄	—	2	1	no	—
1046	C₂²×C₄	—	2	1	no	—
1047	C₂²×C₄	—	2	1	no	—
1048	C₂²×C₄	—	2	1	no	—
1049	C₂²×C₄	—	2	2	no	—
1050	C₂²×C₄	—	2	2	no	—
1051	C₂²×C₄	—	2	2	no	—
1052	C₂²×C₄	—	2	2	no	—
1053	C₂²×C₄	—	4	2	no	—
1054	C₂²×C₄	—	8	2	no	—
1055	C₂²×C₄	—	8	2	no	—
1056	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1057	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1058	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1059	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1060	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1061	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1062	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1063	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1064	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1065	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1066	SD₁₆	—	4	2	no	—
1067	SD₁₆	—	4	2	no	—
1068	D₈	—	4	2	no	—
1069	D₈	—	4	2	no	—
1070	D₈	—	4	2	no	—
1071	D₈	—	4	2	no	—
1072	D₈	—	4	2	no	—
1073	D₈	—	4	2	no	—
1074	M₁₆	—	4	2	no	—
1075	C₂×C₈	—	4	2	no	—
1076	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1077	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1078	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1079	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1080	C₄⋊C₄	—	2	1	no	—
1081	C₄⋊C₄	—	2	1	no	—
1082	C₄⋊C₄	—	2	1	no	—
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	2	2	no	—
1085	C₄⋊C₄	—	2	2	no	—
1086	C₄⋊C₄	—	2	2	no	—
1087	C₄⋊C₄	—	2	1	no	—
1088	C₄⋊C₄	—	2	1	no	—
1089	C₄⋊C₄	—	2	1	no	—
1090	C₄⋊C₄	—	2	1	no	—
1091	C₄⋊C₄	—	2	1	no	—
1092	C₄⋊C₄	—	2	1	no	—
1093	C₄⋊C₄	—	2	1	no	—
1094	C₄⋊C₄	—	2	1	no	—
1095	C₄⋊C₄	—	2	1	no	—
1096	C₄⋊C₄	—	2	1	no	—
1097	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1098	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1099	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1100	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1101	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1102	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1103	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1104	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1105	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1106	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1107	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1108	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1109	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1110	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1111	C₂²⋊C₄	—	2	1	no	—
1112	C₂²⋊C₄	—	2	1	no	—
1113	C₂²⋊C₄	—	2	1	no	—
1114	C₂²⋊C₄	—	2	1	no	—
1115	C₂²⋊C₄	—	2	1	no	—
1116	C₂²⋊C₄	—	2	2	no	—
1117	C₂²⋊C₄	—	2	2	no	—
1118	C₂²⋊C₄	—	2	2	no	—
1119	C₂²⋊C₄	—	2	2	no	—
1120	C₂²⋊C₄	—	2	1	no	—
1121	C₂²⋊C₄	—	2	1	no	—
1122	C₂²⋊C₄	—	2	1	no	—
1123	C₂²⋊C₄	—	2	1	no	—
1124	C₂²⋊C₄	—	2	1	no	—
1125	C₂²⋊C₄	—	2	1	no	—
1126	C₂²⋊C₄	—	2	2	no	—
1127	C₂²⋊C₄	—	2	2	no	—
1128	C₂²⋊C₄	—	2	2	no	—
1129	C₂²⋊C₄	—	2	2	no	—
1130	C₂²⋊C₄	—	2	1	no	—
1131	C₂²⋊C₄	—	2	1	no	—
1132	C₂²⋊C₄	—	2	1	no	—
1133	C₂²⋊C₄	—	2	1	no	—
1134	C₂²⋊C₄	—	2	1	no	—
1135	C₂²⋊C₄	—	2	1	no	—
1136	C₂²⋊C₄	—	2	1	no	—
1137	C₂²⋊C₄	—	2	1	no	—
1138	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1139	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1140	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1141	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1142	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1143	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1144	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1145	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1146	C₄²	—	2	1	no	—
1147	C₄²	—	2	1	no	—
1148	C₄²	—	2	1	no	—
1149	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1150	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1151	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1152	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1153	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1154	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1155	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1156	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1157	C₂×C₇	—	2	2	no	—
1158	C₂×C₇	—	4	1	no	—
1159	C₂×C₇	—	4	1	no	—
1160	C₂×C₇	—	8	1	no	—
1161	C₂×C₇	—	8	2	no	—
1162	C₂×C₇	—	8	2	no	—
1163	C₂×C₇	—	8	1	no	—
1164	C₂×C₇	—	8	1	no	—
1165	C₂×C₇	#3449	1	1	yes	characteristic
1166	C₂×C₇	C₂×#576	1	1	yes	characteristic
1167	C₂×C₇	#3585	1	1	yes	characteristic
1168	C₂³	—	2	2	no	—
1169	C₂³	—	2	1	no	—
1170	C₂³	—	2	1	no	—
1171	C₂³	—	2	1	no	—
1172	C₂³	—	2	2	no	—
1173	C₂³	—	2	2	no	—
1174	C₂³	—	4	1	no	—
1175	C₂³	—	4	1	no	—
1176	C₂³	—	4	2	no	—
1177	C₂³	—	4	2	no	—
1178	C₂³	—	4	2	no	—
1179	C₂³	—	4	2	no	—
1180	C₂³	—	4	2	no	—
1181	C₂³	—	4	2	no	—
1182	C₂³	—	4	2	no	—
1183	C₂³	—	8	1	no	—
1184	C₂³	—	8	1	no	—
1185	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1186	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1187	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1188	Q₈	—	2	2	no	—
1189	Q₈	—	8	1	no	—
1190	Q₈	—	8	1	no	—
1191	D₄	—	2	2	no	—
1192	D₄	—	2	2	no	—
1193	D₄	—	2	2	no	—
1194	D₄	—	2	2	no	—
1195	D₄	—	2	2	no	—
1196	D₄	—	2	2	no	—
1197	D₄	—	2	2	no	—
1198	D₄	—	4	2	no	—
1199	D₄	—	4	2	no	—
1200	D₄	—	4	2	no	—
1201	D₄	—	4	2	no	—
1202	D₄	—	4	2	no	—
1203	D₄	—	4	2	no	—
1204	D₄	—	4	2	no	—
1205	D₄	—	8	1	no	—
1206	D₄	—	8	1	no	—
1207	D₄	—	8	2	no	—
1208	D₄	—	8	2	no	—
1209	D₄	—	8	2	no	—
1210	D₄	—	8	2	no	—
1211	D₄	—	8	1	no	—
1212	D₄	—	8	1	no	—
1213	D₄	—	8	1	no	—
1214	D₄	—	8	2	no	—
1215	D₄	—	8	2	no	—
1216	D₄	—	8	1	no	—
1217	D₄	—	8	1	no	—
1218	D₄	—	8	2	no	—
1219	D₄	—	8	2	no	—
1220	C₂×C₄	—	2	2	no	—
1221	C₂×C₄	—	2	2	no	—
1222	C₂×C₄	—	2	2	no	—
1223	C₂×C₄	—	2	2	no	—
1224	C₂×C₄	—	2	2	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	2	no	—
1231	C₂×C₄	—	2	2	no	—
1232	C₂×C₄	—	4	1	no	—
1233	C₂×C₄	—	4	1	no	—
1234	C₂×C₄	—	4	1	no	—
1235	C₂×C₄	—	4	1	no	—
1236	C₂×C₄	—	4	1	no	—
1237	C₂×C₄	—	4	2	no	—
1238	C₂×C₄	—	4	2	no	—
1239	C₂×C₄	—	4	2	no	—
1240	C₂×C₄	—	8	1	no	—
1241	C₂×C₄	—	8	1	no	—
1242	C₂×C₄	—	8	2	no	—
1243	C₂×C₄	—	8	2	no	—
1244	C₂×C₄	—	8	2	no	—
1245	C₂×C₄	—	8	2	no	—
1246	C₂×C₄	—	8	1	no	—
1247	C₂×C₄	—	8	1	no	—
1248	C₂×C₄	—	8	1	no	—
1249	C₂×C₄	—	8	1	no	—
1250	C₂×C₄	—	8	1	no	—
1251	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1252	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1253	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1254	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1255	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1256	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1257	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1258	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1259	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1260	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1261	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1262	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1263	C₈	—	2	2	no	—
1264	C₈	—	2	2	no	—
1265	C₈	—	2	2	no	—
1266	C₈	—	2	2	no	—
1267	C₇	#60978	1	1	yes	characteristic, direct product factor, Sylow
1268	C₂²	—	2	1	no	—
1269	C₂²	—	2	1	no	—
1270	C₂²	—	2	1	no	—
1271	C₂²	—	2	1	no	—
1272	C₂²	—	2	1	no	—
1273	C₂²	—	2	1	no	—
1274	C₂²	—	2	1	no	—
1275	C₂²	—	2	1	no	—
1276	C₂²	—	4	1	no	—
1277	C₂²	—	4	2	no	—
1278	C₂²	—	4	1	no	—
1279	C₂²	—	4	1	no	—
1280	C₂²	—	4	2	no	—
1281	C₂²	—	4	2	no	—
1282	C₂²	—	4	1	no	—
1283	C₂²	—	4	1	no	—
1284	C₂²	—	4	2	no	—
1285	C₂²	—	4	1	no	—
1286	C₂²	—	4	1	no	—
1287	C₂²	—	4	2	no	—
1288	C₂²	—	4	2	no	—
1289	C₂²	—	4	1	no	—
1290	C₂²	—	4	1	no	—
1291	C₂²	—	8	2	no	—
1292	C₂²	—	8	4	no	—
1293	C₂²	—	8	4	no	—
1294	C₂²	—	16	2	no	—
1295	C₂²	C₇×#576	1	2	yes	—
1296	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1297	C₄	—	2	1	no	—
1298	C₄	—	2	1	no	—
1299	C₄	—	2	1	no	—
1300	C₄	—	2	1	no	—
1301	C₄	—	2	1	no	—
1302	C₄	—	2	1	no	—
1303	C₄	—	2	1	no	—
1304	C₄	—	2	1	no	—
1305	C₄	—	2	1	no	—
1306	C₄	—	2	1	no	—
1307	C₄	—	2	1	no	—
1308	C₄	—	4	2	no	—
1309	C₄	—	4	1	no	—
1310	C₄	—	4	1	no	—
1311	C₄	—	4	1	no	—
1312	C₄	—	4	2	no	—
1313	C₄	—	4	1	no	—
1314	C₄	—	4	1	no	—
1315	C₄	C₇×#585	1	2	yes	—
1316	C₂	—	2	2	no	—
1317	C₂	—	4	1	no	—
1318	C₂	—	4	1	no	—
1319	C₂	—	8	2	no	—
1320	C₂	—	8	2	no	—
1321	C₂	—	8	1	no	—
1322	C₂	—	8	1	no	—
1323	C₂	—	8	1	no	—
1324	C₂	C₇×#3449	1	1	yes	characteristic
1325	C₂	C₂×C₇×#576	1	1	yes	characteristic
1326	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×C₇×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3494	C₂	semidirect
2. C₂×C₇×#540	C₂	semidirect
3. C₇×#3259	C₂	semidirect
4. C₇×#3257	C₂	semidirect
5. C₇×#3241	C₂	semidirect
6. C₇×#3234	C₂	semidirect
7. C₇×#3232	C₂	semidirect
8. C₇×#3220	C₂	semidirect
9. C₇×#3217	C₂	semidirect
10. C₇×#3205	C₂	semidirect
11. C₇×#3194	C₂	semidirect
12. C₇×#3192	C₂	semidirect
13. C₇×#3188	C₂	semidirect
14. C₇×#3186	C₂	semidirect
15. C₇×#3179	C₂	semidirect
16. C₇×#3176	C₂	semidirect
17. C₇×#3122	C₂	semidirect
18. C₇×#3119	C₂	semidirect
19. C₇×#3114	C₂	semidirect
20. C₇×#3109	C₂	semidirect
21. C₇×#3105	C₂	semidirect
22. C₇×#3100	C₂	semidirect
23. C₇×#2924	C₂	semidirect
32. C₇×#544	C₂²	semidirect
33. C₇×#542	C₂²	semidirect
34. C₇×#542	C₂²	semidirect
41. C₇×#540	C₂²	semidirect
42. C₇×#540	C₂²	semidirect
43. C₇×#540	C₂²	semidirect
44. C₇×#540	C₂²	semidirect
45. C₇×#535	C₂²	semidirect
48. C₂×C₇×#127	C₂²	semidirect
51. C₂×C₇×#125	C₂²	semidirect
60. C₇×#520	C₂²	semidirect
61. C₇×#518	C₂²	semidirect
62. C₂×C₄×C₇×D₄	C₂²	semidirect
63. C₂×C₄×C₇×D₄	C₂²	semidirect
65. C₇×#501	C₂²	semidirect
66. C₇×#499	C₂²	semidirect
67. C₇×#496	C₂²	semidirect
68. C₇×#493	C₂²	semidirect
69. C₇×#490	C₂²	semidirect
70. C₇×#490	C₂²	semidirect
71. C₇×#488	C₂²	semidirect
72. C₇×#486	C₂²	semidirect
73. C₇×#484	C₂²	semidirect
74. C₇×#483	C₂²	semidirect
75. C₇×#482	C₂²	semidirect
76. C₇×#482	C₂²	semidirect
79. C₇×#481	C₂²	semidirect
80. C₇×#481	C₂²	semidirect
83. C₇×#480	C₂²	semidirect
84. C₇×#480	C₂²	semidirect
85. C₇×#479	C₂²	semidirect
86. C₇×#478	C₂²	semidirect
87. C₇×#478	C₂²	semidirect
88. C₇×#478	C₂²	semidirect
89. C₇×#478	C₂²	semidirect
90. C₇×#478	C₂²	semidirect
91. C₇×#476	C₂²	semidirect
92. C₇×#474	C₂²	semidirect
93. C₇×#469	C₂²	semidirect
94. C₇×#469	C₂²	semidirect
95. C₇×#469	C₂²	semidirect
96. C₇×#468	C₂²	semidirect
97. C₇×#466	C₂²	semidirect
98. C₇×#466	C₂²	semidirect
99. C₇×#466	C₂²	semidirect
100. C₇×#465	C₂²	semidirect
101. C₇×#463	C₂²	semidirect
102. C₇×#463	C₂²	semidirect
103. C₇×#460	C₂²	semidirect
104. C₇×#459	C₂²	semidirect
105. C₇×#459	C₂²	semidirect
106. C₇×#459	C₂²	semidirect
107. C₇×#459	C₂²	semidirect
108. C₇×#459	C₂²	semidirect
109. C₇×#450	C₂²	semidirect
110. C₇×#450	C₂²	semidirect
111. C₇×#449	C₂²	semidirect
112. C₇×#449	C₂²	semidirect
117. C₇×#447	C₂²	semidirect
118. C₇×#447	C₂²	semidirect
119. C₇×#447	C₂²	semidirect
120. C₇×#447	C₂²	semidirect
121. C₇×#442	C₂²	semidirect
122. C₇×#442	C₂²	semidirect
123. C₇×#442	C₂²	semidirect
124. C₇×#440	C₂²	semidirect
125. C₄×C₇×SD₁₆	C₂²	semidirect
126. C₄×C₇×D₈	C₂²	semidirect
127. C₄×C₇×D₈	C₂²	semidirect
128. C₄×C₇×D₈	C₂²	semidirect
129. C₇×#433	C₂²	semidirect
130. C₇×#433	C₂²	semidirect
131. C₇×#432	C₂²	semidirect
132. C₇×#432	C₂²	semidirect
133. C₇×#431	C₂²	semidirect
134. C₇×#431	C₂²	semidirect
135. C₇×#424	C₂²	semidirect
138. C₇×#405	C₂²	semidirect
139. #60978	C₇	direct (N × H)
343. #3494	C₂×C₇	semidirect
344. C₂×#540	C₂×C₇	semidirect
345. #3259	C₂×C₇	semidirect
346. #3257	C₂×C₇	semidirect
347. #3241	C₂×C₇	semidirect
348. #3234	C₂×C₇	semidirect
349. #3232	C₂×C₇	semidirect
350. #3220	C₂×C₇	semidirect
351. #3217	C₂×C₇	semidirect
352. #3205	C₂×C₇	semidirect
353. #3194	C₂×C₇	semidirect
354. #3192	C₂×C₇	semidirect
355. #3188	C₂×C₇	semidirect
356. #3186	C₂×C₇	semidirect
357. #3179	C₂×C₇	semidirect
358. #3176	C₂×C₇	semidirect
359. #3122	C₂×C₇	semidirect
360. #3119	C₂×C₇	semidirect
361. #3114	C₂×C₇	semidirect
362. #3109	C₂×C₇	semidirect
363. #3105	C₂×C₇	semidirect
364. #3100	C₂×C₇	semidirect
365. #2924	C₂×C₇	semidirect
537. #544	C₂²×C₇	semidirect
538. #542	C₂²×C₇	semidirect
539. #542	C₂²×C₇	semidirect
546. #540	C₂²×C₇	semidirect
547. #540	C₂²×C₇	semidirect
548. #540	C₂²×C₇	semidirect
549. #540	C₂²×C₇	semidirect
550. #535	C₂²×C₇	semidirect
553. C₂×#127	C₂²×C₇	semidirect
556. C₂×#125	C₂²×C₇	semidirect
565. #520	C₂²×C₇	semidirect
566. #518	C₂²×C₇	semidirect
567. C₂×C₄×D₄	C₂²×C₇	semidirect
568. C₂×C₄×D₄	C₂²×C₇	semidirect
570. #501	C₂²×C₇	semidirect
571. #499	C₂²×C₇	semidirect
572. #496	C₂²×C₇	semidirect
573. #493	C₂²×C₇	semidirect
574. #490	C₂²×C₇	semidirect
575. #490	C₂²×C₇	semidirect
576. #488	C₂²×C₇	semidirect
577. #486	C₂²×C₇	semidirect
578. #484	C₂²×C₇	semidirect
579. #483	C₂²×C₇	semidirect
580. #482	C₂²×C₇	semidirect
581. #482	C₂²×C₇	semidirect
584. #481	C₂²×C₇	semidirect
585. #481	C₂²×C₇	semidirect
588. #480	C₂²×C₇	semidirect
589. #480	C₂²×C₇	semidirect
590. #479	C₂²×C₇	semidirect
591. #478	C₂²×C₇	semidirect
592. #478	C₂²×C₇	semidirect
593. #478	C₂²×C₇	semidirect
594. #478	C₂²×C₇	semidirect
595. #478	C₂²×C₇	semidirect
596. #476	C₂²×C₇	semidirect
597. #474	C₂²×C₇	semidirect
598. #469	C₂²×C₇	semidirect
599. #469	C₂²×C₇	semidirect
600. #469	C₂²×C₇	semidirect
601. #468	C₂²×C₇	semidirect
602. #466	C₂²×C₇	semidirect
603. #466	C₂²×C₇	semidirect
604. #466	C₂²×C₇	semidirect
605. #465	C₂²×C₇	semidirect
606. #463	C₂²×C₇	semidirect
607. #463	C₂²×C₇	semidirect
608. #460	C₂²×C₇	semidirect
609. #459	C₂²×C₇	semidirect
610. #459	C₂²×C₇	semidirect
611. #459	C₂²×C₇	semidirect
612. #459	C₂²×C₇	semidirect
613. #459	C₂²×C₇	semidirect
614. #450	C₂²×C₇	semidirect
615. #450	C₂²×C₇	semidirect
616. #449	C₂²×C₇	semidirect
617. #449	C₂²×C₇	semidirect
622. #447	C₂²×C₇	semidirect
623. #447	C₂²×C₇	semidirect
624. #447	C₂²×C₇	semidirect
625. #447	C₂²×C₇	semidirect
626. #442	C₂²×C₇	semidirect
627. #442	C₂²×C₇	semidirect
628. #442	C₂²×C₇	semidirect
629. #440	C₂²×C₇	semidirect
630. C₄×SD₁₆	C₂²×C₇	semidirect
631. C₄×D₈	C₂²×C₇	semidirect
632. C₄×D₈	C₂²×C₇	semidirect
633. C₄×D₈	C₂²×C₇	semidirect
634. #433	C₂²×C₇	semidirect
635. #433	C₂²×C₇	semidirect
636. #432	C₂²×C₇	semidirect
637. #432	C₂²×C₇	semidirect
638. #431	C₂²×C₇	semidirect
639. #431	C₂²×C₇	semidirect
640. #424	C₂²×C₇	semidirect
643. #405	C₂²×C₇	semidirect
1267. C₇	#60978	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×#3494	2
C₂×C₇×#540	2
C₇×#3259	2
C₇×#3257	2
C₇×#3241	2
C₇×#3234	2
C₇×#3232	2
C₇×#3220	2
C₇×#3217	2
C₇×#3205	2
C₇×#3194	2
C₇×#3192	2
C₇×#3188	2
C₇×#3186	2
C₇×#3179	2
C₇×#3176	2
C₇×#3122	2
C₇×#3119	2
C₇×#3114	2
C₇×#3109	2
C₇×#3105	2
C₇×#3100	2
C₇×#2924	2
#60978	7

Subgroups — C7×#60978 #13238194

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60978 #13238194