Subgroups — C₇×#60977 #13238193

Order 1792.

1732 conjugacy classes of subgroups.

The subgroup lattice has 1250 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₇×#542	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3263	C₂	1	2	yes	maximal, complemented
4	C₇×#3258	C₂	1	2	yes	maximal, complemented
5	C₇×#3244	C₂	1	2	yes	maximal, complemented
6	C₇×#3238	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3229	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3225	C₂	1	2	yes	maximal, complemented
9	C₇×#3215	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3211	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3195	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3194	C₂	1	1	yes	maximal, characteristic
13	C₇×#3190	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3187	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3178	C₂	1	2	yes	maximal, complemented
16	C₇×#3173	C₂	1	2	yes	maximal, complemented
17	C₇×#3125	C₂	1	2	yes	maximal, complemented
18	C₇×#3121	C₂	1	2	yes	maximal, complemented
19	C₇×#3114	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3113	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3108	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3101	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2924	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#556	—	2	1	no	—
25	C₇×#554	—	2	1	no	—
26	C₇×#552	—	2	1	no	—
27	C₇×#552	—	2	1	no	—
28	C₇×#552	—	2	1	no	—
29	C₇×#552	—	2	1	no	—
30	C₇×#551	—	2	1	no	—
31	C₇×#551	—	2	1	no	—
32	C₇×#544	C₂²	1	1	yes	characteristic, complemented
33	C₇×#542	—	2	1	no	—
34	C₇×#542	—	2	1	no	—
35	C₇×#542	—	2	1	no	—
36	C₇×#542	—	2	1	no	—
37	C₇×#542	C₂²	1	2	yes	—
38	C₇×#542	C₂²	1	2	yes	—
39	C₇×#542	C₂²	1	2	yes	—
40	C₇×#542	C₂²	1	2	yes	—
41	C₇×#542	C₂²	1	1	yes	characteristic, complemented
42	C₇×#542	C₂²	1	1	yes	characteristic, complemented
43	C₇×#541	C₂²	1	1	yes	characteristic, complemented
44	C₇×#541	C₂²	1	1	yes	characteristic, complemented
45	C₇×#536	C₂²	1	1	yes	characteristic, complemented
46	C₇×#533	C₂²	1	1	yes	characteristic
47	C₇×#533	C₂²	1	1	yes	characteristic
48	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
49	C₇×#529	C₂²	1	1	yes	characteristic
50	C₇×#529	C₂²	1	1	yes	characteristic
51	C₂×C₇×#126	—	2	1	no	—
52	C₂×C₇×#124	—	2	1	no	—
53	C₂×C₇×#124	C₂²	1	1	yes	characteristic
54	C₇×#525	C₂²	1	1	yes	characteristic
55	C₂×C₇×#123	—	2	1	no	—
56	C₂×C₇×C₂²⋊Q₈	—	2	1	no	—
57	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
58	C₂×C₇×C₂²⋊Q₈	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×#519	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
63	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
64	C₂×C₇×#117	C₂²	1	1	yes	characteristic
65	C₇×#501	C₂²	1	2	yes	complemented
66	C₇×#498	C₂²	1	2	yes	complemented
67	C₇×#497	C₂²	1	2	yes	complemented
68	C₇×#495	C₂²	1	2	yes	complemented
69	C₇×#489	C₂²	1	2	yes	complemented
70	C₇×#489	C₂²	1	2	yes	complemented
71	C₇×#488	C₂²	1	2	yes	complemented
72	C₇×#487	C₂²	1	2	yes	complemented
73	C₇×#485	C₂²	1	2	yes	complemented
74	C₇×#483	C₂²	1	1	yes	characteristic
75	C₇×#483	C₂²	1	1	yes	characteristic
76	C₇×#483	C₂²	1	1	yes	characteristic
77	C₇×#483	C₂²	1	1	yes	characteristic
78	C₇×#483	C₂²	1	1	yes	characteristic
79	C₇×#483	C₂²	1	1	yes	characteristic
80	C₇×#483	C₂²	1	2	yes	complemented
81	C₇×#482	C₂²	1	2	yes	—
82	C₇×#481	C₂²	1	2	yes	—
83	C₇×#480	C₂²	1	1	yes	characteristic
84	C₇×#480	C₂²	1	1	yes	characteristic
85	C₇×#479	C₂²	1	2	yes	complemented
86	C₇×#478	C₂²	1	2	yes	complemented
87	C₇×#477	C₂²	1	2	yes	complemented
88	C₇×#476	C₂²	1	2	yes	complemented
89	C₇×#476	C₂²	1	2	yes	complemented
90	C₇×#475	C₂²	1	2	yes	complemented
91	C₇×#475	C₂²	1	2	yes	complemented
92	C₇×#475	C₂²	1	2	yes	complemented
93	C₇×#470	C₂²	1	2	yes	complemented
94	C₇×#470	C₂²	1	2	yes	complemented
95	C₇×#469	C₂²	1	2	yes	—
96	C₇×#468	C₂²	1	2	yes	—
97	C₇×#467	C₂²	1	2	yes	complemented
98	C₇×#465	C₂²	1	2	yes	—
99	C₇×#465	C₂²	1	2	yes	—
100	C₇×#465	C₂²	1	2	yes	complemented
101	C₇×#464	C₂²	1	2	yes	complemented
102	C₇×#464	C₂²	1	2	yes	complemented
103	C₇×#464	C₂²	1	2	yes	complemented
104	C₇×#464	C₂²	1	2	yes	complemented
105	C₇×#463	C₂²	1	2	yes	complemented
106	C₇×#463	C₂²	1	2	yes	complemented
107	C₇×#462	C₂²	1	2	yes	complemented
108	C₇×#461	C₂²	1	2	yes	complemented
109	C₇×#452	C₂²	1	2	yes	complemented
110	C₇×#451	C₂²	1	1	yes	characteristic
111	C₇×#451	C₂²	1	1	yes	characteristic
112	C₇×#451	C₂²	1	1	yes	characteristic
113	C₇×#451	C₂²	1	2	yes	complemented
114	C₇×#450	C₂²	1	1	yes	characteristic
115	C₇×#450	C₂²	1	1	yes	characteristic
116	C₇×#450	C₂²	1	1	yes	characteristic
117	C₇×#449	C₂²	1	2	yes	—
118	C₇×#448	C₂²	1	2	yes	—
119	C₇×#448	C₂²	1	1	yes	characteristic
120	C₇×#447	C₂²	1	1	yes	characteristic
121	C₇×#442	C₂²	1	2	yes	complemented
122	C₇×#441	C₂²	1	2	yes	complemented
123	C₇×#441	C₂²	1	2	yes	complemented
124	C₇×#440	C₂²	1	2	yes	complemented
125	C₄×C₇×Q₁₆	C₂²	1	2	yes	complemented
126	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
127	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
128	C₄×C₇×SD₁₆	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
132	C₇×#432	C₂²	1	1	yes	characteristic
133	C₇×#431	C₂²	1	1	yes	characteristic
134	C₇×#431	C₂²	1	1	yes	characteristic
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	#60977	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
140	C₂×C₇×#41	C₂³	1	1	yes	characteristic
141	C₂²×C₇×Q₈	—	2	1	no	—
142	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
143	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
144	C₂²×C₇×D₄	—	2	1	no	—
145	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
146	C₂³×C₄×C₇	—	2	1	no	—
147	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
148	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
150	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
151	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₇×D₈	C₂³	1	2	yes	—
156	C₂×C₇×M₁₆	C₂³	1	2	yes	—
157	C₂²×C₇×C₈	C₂³	1	2	yes	—
158	C₇×C₄⋊Q₈	—	2	1	no	—
159	C₇×C₄⋊Q₈	—	2	1	no	—
160	C₇×C₄⋊Q₈	—	2	1	no	—
161	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₇×#126	—	2	2	no	—
168	C₇×#126	—	2	2	no	—
169	C₇×#126	—	2	2	no	—
170	C₇×#126	—	2	2	no	—
171	C₇×#126	—	2	1	no	—
172	C₇×#126	—	2	1	no	—
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×#126	—	2	1	no	—
178	C₇×#126	—	2	1	no	—
179	C₇×#125	—	2	1	no	—
180	C₇×#125	—	2	1	no	—
181	C₇×#125	—	2	1	no	—
182	C₇×#125	—	2	1	no	—
183	C₇×#125	—	2	1	no	—
184	C₇×#125	—	2	1	no	—
185	C₇×#125	—	2	1	no	—
186	C₇×#125	C₂³	1	1	yes	characteristic
187	C₇×#125	C₂³	1	1	yes	characteristic
188	C₇×#124	—	2	2	no	—
189	C₇×#124	—	2	2	no	—
190	C₇×#124	—	2	2	no	—
191	C₇×#124	—	2	2	no	—
192	C₇×#124	—	2	1	no	—
193	C₇×#124	—	2	1	no	—
194	C₇×#124	—	2	1	no	—
195	C₇×#124	—	2	1	no	—
196	C₇×#124	C₂³	1	2	yes	—
197	C₇×#124	C₂³	1	1	yes	characteristic
198	C₇×#124	C₂³	1	2	yes	—
199	C₇×#124	C₂³	1	1	yes	characteristic
200	C₇×#123	—	2	1	no	—
201	C₇×#123	—	2	1	no	—
202	C₇×#123	—	2	1	no	—
203	C₇×#123	—	2	2	no	—
204	C₇×#123	—	2	2	no	—
205	C₇×#123	—	2	2	no	—
206	C₇×#123	—	2	2	no	—
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×C₂²⋊Q₈	—	2	1	no	—
212	C₇×C₂²⋊Q₈	—	2	1	no	—
213	C₇×C₂²⋊Q₈	—	2	1	no	—
214	C₇×C₂²⋊Q₈	—	2	1	no	—
215	C₇×C₂²⋊Q₈	—	2	1	no	—
216	C₇×C₂²⋊Q₈	—	2	1	no	—
217	C₇×C₂²⋊Q₈	—	2	2	no	—
218	C₇×C₂²⋊Q₈	—	2	2	no	—
219	C₇×C₂²⋊Q₈	—	2	2	no	—
220	C₇×C₂²⋊Q₈	—	2	2	no	—
221	C₇×C₂²⋊Q₈	—	2	1	no	—
222	C₇×C₂²⋊Q₈	—	2	1	no	—
223	C₇×C₂²⋊Q₈	—	2	1	no	—
224	C₇×C₂²⋊Q₈	—	2	1	no	—
225	C₇×C₂²⋊Q₈	—	2	1	no	—
226	C₇×C₂²⋊Q₈	—	2	1	no	—
227	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
229	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
230	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
231	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
232	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
233	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
234	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
235	C₇×#121	—	2	1	no	—
236	C₇×#121	—	2	1	no	—
237	C₇×#121	C₂³	1	2	yes	—
238	C₇×#121	C₂³	1	1	yes	characteristic
239	C₇×#121	C₂³	1	1	yes	characteristic
240	C₇×#121	C₂³	1	2	yes	—
241	C₇×#120	—	2	1	no	—
242	C₄×C₇×Q₈	—	2	1	no	—
243	C₄×C₇×Q₈	—	2	1	no	—
244	C₄×C₇×Q₈	—	2	1	no	—
245	C₄×C₇×Q₈	—	2	1	no	—
246	C₄×C₇×Q₈	—	2	1	no	—
247	C₄×C₇×Q₈	—	2	1	no	—
248	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
249	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
250	C₄×C₇×Q₈	C₂³	1	2	yes	—
251	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
252	C₄×C₇×Q₈	C₂³	1	2	yes	—
253	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
254	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
255	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
265	C₄×C₇×D₄	C₂³	1	2	yes	—
266	C₄×C₇×D₄	C₂³	1	2	yes	—
267	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
268	C₇×#117	—	2	1	no	—
269	C₇×#117	—	2	1	no	—
270	C₇×#117	—	2	1	no	—
271	C₇×#117	—	2	1	no	—
272	C₇×#117	—	2	1	no	—
273	C₇×#117	—	2	1	no	—
274	C₇×#117	—	2	1	no	—
275	C₇×#117	D₄	1	1	yes	characteristic
276	C₇×#117	D₄	1	1	yes	characteristic
277	C₇×#117	D₄	1	1	yes	characteristic
278	C₇×#117	D₄	1	1	yes	characteristic
279	C₇×#117	C₂³	1	1	yes	characteristic
280	C₇×#117	C₂³	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	C₂×C₇×C₄⋊C₄	—	2	1	no	—
285	C₂×C₇×C₄⋊C₄	—	2	1	no	—
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	D₄	1	1	yes	characteristic
301	C₂×C₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
302	C₂×C₄²×C₇	—	2	1	no	—
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×#106	C₂³	1	2	yes	—
308	C₇×#106	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×#103	C₂³	1	2	yes	—
320	C₇×#103	C₂³	1	2	yes	—
321	C₇×#103	C₂³	1	2	yes	—
322	C₇×#103	C₂³	1	2	yes	—
323	C₇×#103	C₂³	1	2	yes	—
324	C₇×#103	C₂³	1	2	yes	—
325	C₇×#103	C₂³	1	2	yes	—
326	C₇×#103	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	2	yes	—
336	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
337	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
338	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
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	#3495	C₂×C₇	1	1	yes	characteristic, complemented
344	C₂×#542	C₂×C₇	1	1	yes	characteristic, complemented
345	#3263	C₂×C₇	1	2	yes	complemented
346	#3258	C₂×C₇	1	2	yes	complemented
347	#3244	C₂×C₇	1	2	yes	complemented
348	#3238	C₂×C₇	1	1	yes	characteristic, complemented
349	#3229	C₂×C₇	1	1	yes	characteristic, complemented
350	#3225	C₂×C₇	1	2	yes	complemented
351	#3215	C₂×C₇	1	1	yes	characteristic, complemented
352	#3211	C₂×C₇	1	1	yes	characteristic, complemented
353	#3195	C₂×C₇	1	1	yes	characteristic, complemented
354	#3194	C₂×C₇	1	1	yes	characteristic
355	#3190	C₂×C₇	1	1	yes	characteristic, complemented
356	#3187	C₂×C₇	1	1	yes	characteristic, complemented
357	#3178	C₂×C₇	1	2	yes	complemented
358	#3173	C₂×C₇	1	2	yes	complemented
359	#3125	C₂×C₇	1	2	yes	complemented
360	#3121	C₂×C₇	1	2	yes	complemented
361	#3114	C₂×C₇	1	1	yes	characteristic, complemented
362	#3113	C₂×C₇	1	1	yes	characteristic, complemented
363	#3108	C₂×C₇	1	1	yes	characteristic, complemented
364	#3101	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	C₂×D₄	1	1	yes	characteristic
368	C₇×#41	—	4	2	no	—
369	C₂×C₇×Q₈	—	2	1	no	—
370	C₂×C₇×Q₈	—	2	1	no	—
371	C₂×C₇×Q₈	—	2	1	no	—
372	C₂×C₇×Q₈	—	2	1	no	—
373	C₂×C₇×Q₈	—	2	2	no	—
374	C₂×C₇×Q₈	—	2	2	no	—
375	C₂×C₇×Q₈	—	4	2	no	—
376	C₂×C₇×Q₈	—	4	2	no	—
377	C₂×C₇×Q₈	—	8	2	no	—
378	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
379	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
380	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
381	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
382	C₂×C₇×D₄	—	2	1	no	—
383	C₂×C₇×D₄	—	2	1	no	—
384	C₂×C₇×D₄	—	2	1	no	—
385	C₂×C₇×D₄	—	2	2	no	—
386	C₂×C₇×D₄	—	2	2	no	—
387	C₂×C₇×D₄	—	2	1	no	—
388	C₂×C₇×D₄	—	4	2	no	—
389	C₂×C₇×D₄	—	8	2	no	—
390	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
391	C₂×C₇×D₄	C₂⁴	1	2	yes	—
392	C₂²×C₄×C₇	—	2	1	no	—
393	C₂²×C₄×C₇	—	2	1	no	—
394	C₂²×C₄×C₇	—	2	1	no	—
395	C₂²×C₄×C₇	—	2	1	no	—
396	C₂²×C₄×C₇	—	2	1	no	—
397	C₂²×C₄×C₇	—	2	1	no	—
398	C₂²×C₄×C₇	—	2	1	no	—
399	C₂²×C₄×C₇	—	2	1	no	—
400	C₂²×C₄×C₇	—	2	2	no	—
401	C₂²×C₄×C₇	—	2	2	no	—
402	C₂²×C₄×C₇	—	4	2	no	—
403	C₂²×C₄×C₇	—	8	2	no	—
404	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
405	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
406	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
407	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
408	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
409	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
410	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
411	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
414	C₇×Q₁₆	—	4	2	no	—
415	C₇×Q₁₆	—	4	2	no	—
416	C₇×Q₁₆	—	4	2	no	—
417	C₇×SD₁₆	—	4	2	no	—
418	C₇×SD₁₆	—	4	2	no	—
419	C₇×SD₁₆	—	4	2	no	—
420	C₇×SD₁₆	—	4	2	no	—
421	C₇×D₈	—	4	2	no	—
422	C₇×M₁₆	—	4	2	no	—
423	C₂×C₇×C₈	—	4	2	no	—
424	C₂×C₇×C₈	C₂⁴	1	2	yes	—
425	C₂×C₇×C₈	C₂⁴	1	2	yes	—
426	C₂×C₇×C₈	C₂⁴	1	2	yes	—
427	C₂×C₇×C₈	C₂⁴	1	2	yes	—
428	C₇×C₄⋊C₄	—	2	1	no	—
429	C₇×C₄⋊C₄	—	2	1	no	—
430	C₇×C₄⋊C₄	—	2	1	no	—
431	C₇×C₄⋊C₄	—	2	1	no	—
432	C₇×C₄⋊C₄	—	2	1	no	—
433	C₇×C₄⋊C₄	—	2	2	no	—
434	C₇×C₄⋊C₄	—	2	2	no	—
435	C₇×C₄⋊C₄	—	2	2	no	—
436	C₇×C₄⋊C₄	—	2	2	no	—
437	C₇×C₄⋊C₄	—	2	1	no	—
438	C₇×C₄⋊C₄	—	2	1	no	—
439	C₇×C₄⋊C₄	—	2	2	no	—
440	C₇×C₄⋊C₄	—	2	2	no	—
441	C₇×C₄⋊C₄	—	2	1	no	—
442	C₇×C₄⋊C₄	—	2	1	no	—
443	C₇×C₄⋊C₄	—	2	1	no	—
444	C₇×C₄⋊C₄	—	2	1	no	—
445	C₇×C₄⋊C₄	—	2	1	no	—
446	C₇×C₄⋊C₄	—	2	1	no	—
447	C₇×C₄⋊C₄	—	2	1	no	—
448	C₇×C₄⋊C₄	—	2	1	no	—
449	C₇×C₄⋊C₄	—	2	1	no	—
450	C₇×C₄⋊C₄	—	2	1	no	—
451	C₇×C₄⋊C₄	—	2	1	no	—
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	1	no	—
456	C₇×C₄⋊C₄	—	2	1	no	—
457	C₇×C₄⋊C₄	—	2	1	no	—
458	C₇×C₄⋊C₄	—	2	1	no	—
459	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
460	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
461	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
462	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
463	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
464	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
465	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
466	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
467	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
468	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
469	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
470	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
471	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
472	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
473	C₇×C₂²⋊C₄	—	2	1	no	—
474	C₇×C₂²⋊C₄	—	2	1	no	—
475	C₇×C₂²⋊C₄	—	2	2	no	—
476	C₇×C₂²⋊C₄	—	2	2	no	—
477	C₇×C₂²⋊C₄	—	2	1	no	—
478	C₇×C₂²⋊C₄	—	2	1	no	—
479	C₇×C₂²⋊C₄	—	2	1	no	—
480	C₇×C₂²⋊C₄	—	2	1	no	—
481	C₇×C₂²⋊C₄	—	2	1	no	—
482	C₇×C₂²⋊C₄	—	2	2	no	—
483	C₇×C₂²⋊C₄	—	2	2	no	—
484	C₇×C₂²⋊C₄	—	2	2	no	—
485	C₇×C₂²⋊C₄	—	2	2	no	—
486	C₇×C₂²⋊C₄	—	2	2	no	—
487	C₇×C₂²⋊C₄	—	2	2	no	—
488	C₇×C₂²⋊C₄	—	2	2	no	—
489	C₇×C₂²⋊C₄	—	2	2	no	—
490	C₇×C₂²⋊C₄	—	2	1	no	—
491	C₇×C₂²⋊C₄	—	2	1	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	C₂×D₄	1	1	yes	characteristic
499	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
500	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
501	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
502	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
503	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
504	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
505	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
506	C₄²×C₇	—	2	2	no	—
507	C₄²×C₇	—	2	2	no	—
508	C₄²×C₇	—	2	1	no	—
509	C₄²×C₇	—	2	1	no	—
510	C₄²×C₇	—	2	1	no	—
511	C₄²×C₇	—	2	1	no	—
512	C₄²×C₇	—	2	1	no	—
513	C₄²×C₇	—	2	1	no	—
514	C₄²×C₇	—	2	1	no	—
515	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
516	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
517	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
518	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
519	C₄²×C₇	C₂⁴	1	1	yes	characteristic
520	C₄²×C₇	C₂⁴	1	1	yes	characteristic
521	C₄²×C₇	C₂⁴	1	1	yes	characteristic
522	C₄²×C₇	C₂⁴	1	1	yes	characteristic
523	#556	—	2	1	no	—
524	#554	—	2	1	no	—
525	#552	—	2	1	no	—
526	#552	—	2	1	no	—
527	#552	—	2	1	no	—
528	#552	—	2	1	no	—
529	#551	—	2	1	no	—
530	#551	—	2	1	no	—
531	#544	C₂²×C₇	1	1	yes	characteristic, complemented
532	#542	—	2	1	no	—
533	#542	—	2	1	no	—
534	#542	—	2	1	no	—
535	#542	—	2	1	no	—
536	#542	C₂²×C₇	1	2	yes	—
537	#542	C₂²×C₇	1	2	yes	—
538	#542	C₂²×C₇	1	2	yes	—
539	#542	C₂²×C₇	1	2	yes	—
540	#542	C₂²×C₇	1	1	yes	characteristic, complemented
541	#542	C₂²×C₇	1	1	yes	characteristic, complemented
542	#541	C₂²×C₇	1	1	yes	characteristic, complemented
543	#541	C₂²×C₇	1	1	yes	characteristic, complemented
544	#536	C₂²×C₇	1	1	yes	characteristic, complemented
545	#533	C₂²×C₇	1	1	yes	characteristic
546	#533	C₂²×C₇	1	1	yes	characteristic
547	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic
548	#529	C₂²×C₇	1	1	yes	characteristic
549	#529	C₂²×C₇	1	1	yes	characteristic
550	C₂×#126	—	2	1	no	—
551	C₂×#124	—	2	1	no	—
552	C₂×#124	C₂²×C₇	1	1	yes	characteristic
553	#525	C₂²×C₇	1	1	yes	characteristic
554	C₂×#123	—	2	1	no	—
555	C₂×C₂²⋊Q₈	—	2	1	no	—
556	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
557	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
558	C₂×#121	C₂²×C₇	1	1	yes	characteristic
559	#520	C₂²×C₇	1	1	yes	characteristic, complemented
560	#519	C₂²×C₇	1	1	yes	characteristic, complemented
561	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
562	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
563	C₂×#117	C₂²×C₇	1	1	yes	characteristic
564	#501	C₂²×C₇	1	2	yes	complemented
565	#498	C₂²×C₇	1	2	yes	complemented
566	#497	C₂²×C₇	1	2	yes	complemented
567	#495	C₂²×C₇	1	2	yes	complemented
568	#489	C₂²×C₇	1	2	yes	complemented
569	#489	C₂²×C₇	1	2	yes	complemented
570	#488	C₂²×C₇	1	2	yes	complemented
571	#487	C₂²×C₇	1	2	yes	complemented
572	#485	C₂²×C₇	1	2	yes	complemented
573	#483	C₂²×C₇	1	1	yes	characteristic
574	#483	C₂²×C₇	1	1	yes	characteristic
575	#483	C₂²×C₇	1	1	yes	characteristic
576	#483	C₂²×C₇	1	1	yes	characteristic
577	#483	C₂²×C₇	1	1	yes	characteristic
578	#483	C₂²×C₇	1	1	yes	characteristic
579	#483	C₂²×C₇	1	2	yes	complemented
580	#482	C₂²×C₇	1	2	yes	—
581	#481	C₂²×C₇	1	2	yes	—
582	#480	C₂²×C₇	1	1	yes	characteristic
583	#480	C₂²×C₇	1	1	yes	characteristic
584	#479	C₂²×C₇	1	2	yes	complemented
585	#478	C₂²×C₇	1	2	yes	complemented
586	#477	C₂²×C₇	1	2	yes	complemented
587	#476	C₂²×C₇	1	2	yes	complemented
588	#476	C₂²×C₇	1	2	yes	complemented
589	#475	C₂²×C₇	1	2	yes	complemented
590	#475	C₂²×C₇	1	2	yes	complemented
591	#475	C₂²×C₇	1	2	yes	complemented
592	#470	C₂²×C₇	1	2	yes	complemented
593	#470	C₂²×C₇	1	2	yes	complemented
594	#469	C₂²×C₇	1	2	yes	—
595	#468	C₂²×C₇	1	2	yes	—
596	#467	C₂²×C₇	1	2	yes	complemented
597	#465	C₂²×C₇	1	2	yes	—
598	#465	C₂²×C₇	1	2	yes	—
599	#465	C₂²×C₇	1	2	yes	complemented
600	#464	C₂²×C₇	1	2	yes	complemented
601	#464	C₂²×C₇	1	2	yes	complemented
602	#464	C₂²×C₇	1	2	yes	complemented
603	#464	C₂²×C₇	1	2	yes	complemented
604	#463	C₂²×C₇	1	2	yes	complemented
605	#463	C₂²×C₇	1	2	yes	complemented
606	#462	C₂²×C₇	1	2	yes	complemented
607	#461	C₂²×C₇	1	2	yes	complemented
608	#452	C₂²×C₇	1	2	yes	complemented
609	#451	C₂²×C₇	1	1	yes	characteristic
610	#451	C₂²×C₇	1	1	yes	characteristic
611	#451	C₂²×C₇	1	1	yes	characteristic
612	#451	C₂²×C₇	1	2	yes	complemented
613	#450	C₂²×C₇	1	1	yes	characteristic
614	#450	C₂²×C₇	1	1	yes	characteristic
615	#450	C₂²×C₇	1	1	yes	characteristic
616	#449	C₂²×C₇	1	2	yes	—
617	#448	C₂²×C₇	1	1	yes	characteristic
618	#448	C₂²×C₇	1	2	yes	—
619	#447	C₂²×C₇	1	1	yes	characteristic
620	#442	C₂²×C₇	1	2	yes	complemented
621	#441	C₂²×C₇	1	2	yes	complemented
622	#441	C₂²×C₇	1	2	yes	complemented
623	#440	C₂²×C₇	1	2	yes	complemented
624	C₄×Q₁₆	C₂²×C₇	1	2	yes	complemented
625	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
626	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
627	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
628	#433	C₂²×C₇	1	2	yes	complemented
629	#433	C₂²×C₇	1	2	yes	complemented
630	#432	C₂²×C₇	1	1	yes	characteristic
631	#432	C₂²×C₇	1	1	yes	characteristic
632	#431	C₂²×C₇	1	1	yes	characteristic
633	#431	C₂²×C₇	1	1	yes	characteristic
634	#424	C₂²×C₇	1	2	yes	complemented
635	#407	C₂²×C₇	1	1	yes	characteristic
636	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic
637	#405	C₂²×C₇	1	2	yes	complemented
638	C₂³×C₇	—	2	2	no	—
639	C₂³×C₇	—	2	1	no	—
640	C₂³×C₇	—	2	2	no	—
641	C₂³×C₇	—	4	1	no	—
642	C₂³×C₇	—	4	1	no	—
643	C₂³×C₇	—	4	2	no	—
644	C₂³×C₇	—	4	2	no	—
645	C₂³×C₇	—	4	2	no	—
646	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
647	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
648	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
649	C₇×Q₈	—	2	2	no	—
650	C₇×Q₈	—	2	2	no	—
651	C₇×Q₈	—	2	2	no	—
652	C₇×Q₈	—	2	2	no	—
653	C₇×Q₈	—	2	2	no	—
654	C₇×Q₈	—	4	2	no	—
655	C₇×Q₈	—	4	2	no	—
656	C₇×Q₈	—	8	1	no	—
657	C₇×Q₈	—	8	1	no	—
658	C₇×Q₈	—	8	2	no	—
659	C₇×Q₈	—	8	2	no	—
660	C₇×D₄	—	2	2	no	—
661	C₇×D₄	—	2	2	no	—
662	C₇×D₄	—	2	2	no	—
663	C₇×D₄	—	4	2	no	—
664	C₇×D₄	—	4	2	no	—
665	C₇×D₄	—	4	2	no	—
666	C₇×D₄	—	8	1	no	—
667	C₇×D₄	—	8	2	no	—
668	C₇×D₄	—	8	2	no	—
669	C₂×C₄×C₇	—	2	2	no	—
670	C₂×C₄×C₇	—	2	2	no	—
671	C₂×C₄×C₇	—	2	2	no	—
672	C₂×C₄×C₇	—	2	2	no	—
673	C₂×C₄×C₇	—	2	2	no	—
674	C₂×C₄×C₇	—	2	1	no	—
675	C₂×C₄×C₇	—	2	1	no	—
676	C₂×C₄×C₇	—	2	2	no	—
677	C₂×C₄×C₇	—	2	1	no	—
678	C₂×C₄×C₇	—	2	1	no	—
679	C₂×C₄×C₇	—	2	1	no	—
680	C₂×C₄×C₇	—	2	2	no	—
681	C₂×C₄×C₇	—	2	1	no	—
682	C₂×C₄×C₇	—	2	1	no	—
683	C₂×C₄×C₇	—	2	2	no	—
684	C₂×C₄×C₇	—	4	1	no	—
685	C₂×C₄×C₇	—	4	1	no	—
686	C₂×C₄×C₇	—	4	1	no	—
687	C₂×C₄×C₇	—	4	1	no	—
688	C₂×C₄×C₇	—	4	1	no	—
689	C₂×C₄×C₇	—	4	2	no	—
690	C₂×C₄×C₇	—	4	2	no	—
691	C₂×C₄×C₇	—	4	2	no	—
692	C₂×C₄×C₇	—	4	2	no	—
693	C₂×C₄×C₇	—	4	2	no	—
694	C₂×C₄×C₇	—	8	1	no	—
695	C₂×C₄×C₇	—	8	1	no	—
696	C₂×C₄×C₇	—	8	2	no	—
697	C₂×C₄×C₇	—	8	2	no	—
698	C₂×C₄×C₇	—	8	1	no	—
699	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
700	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
701	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
702	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
703	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
704	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
705	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
706	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
707	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
708	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
709	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
710	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
711	C₇×C₈	—	2	2	no	—
712	C₇×C₈	—	2	2	no	—
713	C₇×C₈	—	2	2	no	—
714	C₇×C₈	—	2	2	no	—
715	C₂×#41	C₂³×C₇	1	1	yes	characteristic
716	C₂²×Q₈	—	2	1	no	—
717	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
718	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
719	C₂²×D₄	—	2	1	no	—
720	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
721	C₂³×C₄	—	2	1	no	—
722	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
723	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
724	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
725	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
726	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
727	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
728	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
729	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
730	C₂×D₈	C₂³×C₇	1	2	yes	—
731	C₂×M₁₆	C₂³×C₇	1	2	yes	—
732	C₂²×C₈	C₂³×C₇	1	2	yes	—
733	C₄⋊Q₈	—	2	1	no	—
734	C₄⋊Q₈	—	2	1	no	—
735	C₄⋊Q₈	—	2	1	no	—
736	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
737	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
738	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
739	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
740	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
741	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
742	#126	—	2	2	no	—
743	#126	—	2	2	no	—
744	#126	—	2	2	no	—
745	#126	—	2	2	no	—
746	#126	—	2	1	no	—
747	#126	—	2	1	no	—
748	#126	—	2	1	no	—
749	#126	—	2	1	no	—
750	#126	—	2	1	no	—
751	#126	—	2	1	no	—
752	#126	—	2	1	no	—
753	#126	—	2	1	no	—
754	#125	—	2	1	no	—
755	#125	—	2	1	no	—
756	#125	—	2	1	no	—
757	#125	—	2	1	no	—
758	#125	—	2	1	no	—
759	#125	—	2	1	no	—
760	#125	—	2	1	no	—
761	#125	C₂³×C₇	1	1	yes	characteristic
762	#125	C₂³×C₇	1	1	yes	characteristic
763	#124	—	2	2	no	—
764	#124	—	2	2	no	—
765	#124	—	2	2	no	—
766	#124	—	2	2	no	—
767	#124	—	2	1	no	—
768	#124	—	2	1	no	—
769	#124	—	2	1	no	—
770	#124	—	2	1	no	—
771	#124	C₂³×C₇	1	2	yes	—
772	#124	C₂³×C₇	1	2	yes	—
773	#124	C₂³×C₇	1	1	yes	characteristic
774	#124	C₂³×C₇	1	1	yes	characteristic
775	#123	—	2	1	no	—
776	#123	—	2	1	no	—
777	#123	—	2	1	no	—
778	#123	—	2	2	no	—
779	#123	—	2	2	no	—
780	#123	—	2	2	no	—
781	#123	—	2	2	no	—
782	#123	—	2	1	no	—
783	#123	—	2	1	no	—
784	#123	—	2	1	no	—
785	#123	—	2	1	no	—
786	C₂²⋊Q₈	—	2	1	no	—
787	C₂²⋊Q₈	—	2	1	no	—
788	C₂²⋊Q₈	—	2	1	no	—
789	C₂²⋊Q₈	—	2	1	no	—
790	C₂²⋊Q₈	—	2	1	no	—
791	C₂²⋊Q₈	—	2	1	no	—
792	C₂²⋊Q₈	—	2	2	no	—
793	C₂²⋊Q₈	—	2	2	no	—
794	C₂²⋊Q₈	—	2	2	no	—
795	C₂²⋊Q₈	—	2	2	no	—
796	C₂²⋊Q₈	—	2	1	no	—
797	C₂²⋊Q₈	—	2	1	no	—
798	C₂²⋊Q₈	—	2	1	no	—
799	C₂²⋊Q₈	—	2	1	no	—
800	C₂²⋊Q₈	—	2	1	no	—
801	C₂²⋊Q₈	—	2	1	no	—
802	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
803	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
804	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
805	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
806	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
807	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
808	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
809	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
810	#121	—	2	1	no	—
811	#121	—	2	1	no	—
812	#121	C₂³×C₇	1	2	yes	—
813	#121	C₂³×C₇	1	2	yes	—
814	#121	C₂³×C₇	1	1	yes	characteristic
815	#121	C₂³×C₇	1	1	yes	characteristic
816	#120	—	2	1	no	—
817	C₄×Q₈	—	2	1	no	—
818	C₄×Q₈	—	2	1	no	—
819	C₄×Q₈	—	2	1	no	—
820	C₄×Q₈	—	2	1	no	—
821	C₄×Q₈	—	2	1	no	—
822	C₄×Q₈	—	2	1	no	—
823	C₄×Q₈	C₂³×C₇	1	2	yes	—
824	C₄×Q₈	C₂³×C₇	1	2	yes	—
825	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
826	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
827	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
828	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
829	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
830	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
831	C₄×D₄	—	2	1	no	—
832	C₄×D₄	—	2	1	no	—
833	C₄×D₄	—	2	1	no	—
834	C₄×D₄	—	2	1	no	—
835	C₄×D₄	—	2	1	no	—
836	C₄×D₄	—	2	1	no	—
837	C₄×D₄	—	2	1	no	—
838	C₄×D₄	—	2	1	no	—
839	C₄×D₄	C₂³×C₇	1	2	yes	—
840	C₄×D₄	C₂³×C₇	1	2	yes	—
841	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
842	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
843	#117	—	2	1	no	—
844	#117	—	2	1	no	—
845	#117	—	2	1	no	—
846	#117	—	2	1	no	—
847	#117	—	2	1	no	—
848	#117	—	2	1	no	—
849	#117	—	2	1	no	—
850	#117	C₇×D₄	1	1	yes	characteristic
851	#117	C₇×D₄	1	1	yes	characteristic
852	#117	C₇×D₄	1	1	yes	characteristic
853	#117	C₇×D₄	1	1	yes	characteristic
854	#117	C₂³×C₇	1	1	yes	characteristic
855	#117	C₂³×C₇	1	1	yes	characteristic
856	#117	C₂³×C₇	1	1	yes	characteristic
857	#117	C₂³×C₇	1	1	yes	characteristic
858	#117	C₂³×C₇	1	1	yes	characteristic
859	C₂×C₄⋊C₄	—	2	1	no	—
860	C₂×C₄⋊C₄	—	2	1	no	—
861	C₂×C₄⋊C₄	—	2	1	no	—
862	C₂×C₄⋊C₄	—	2	1	no	—
863	C₂×C₄⋊C₄	—	2	1	no	—
864	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
865	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
866	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
867	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
868	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
869	C₂×C₂²⋊C₄	—	2	1	no	—
870	C₂×C₂²⋊C₄	—	2	1	no	—
871	C₂×C₂²⋊C₄	—	2	1	no	—
872	C₂×C₂²⋊C₄	—	2	1	no	—
873	C₂×C₂²⋊C₄	—	2	1	no	—
874	C₂×C₂²⋊C₄	—	2	1	no	—
875	C₂×C₂²⋊C₄	C₇×D₄	1	1	yes	characteristic
876	C₂×C₂²⋊C₄	C₇×D₄	1	1	yes	characteristic
877	C₂×C₄²	—	2	1	no	—
878	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
879	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
880	#107	C₂³×C₇	1	2	yes	—
881	#107	C₂³×C₇	1	2	yes	—
882	#106	C₂³×C₇	1	2	yes	—
883	#106	C₂³×C₇	1	2	yes	—
884	#106	C₂³×C₇	1	2	yes	—
885	#106	C₂³×C₇	1	2	yes	—
886	#106	C₂³×C₇	1	2	yes	—
887	#106	C₂³×C₇	1	2	yes	—
888	C₄⋊C₈	C₂³×C₇	1	2	yes	—
889	C₄⋊C₈	C₂³×C₇	1	2	yes	—
890	C₄⋊C₈	C₂³×C₇	1	2	yes	—
891	C₄⋊C₈	C₂³×C₇	1	2	yes	—
892	#103	C₂³×C₇	1	2	yes	—
893	#103	C₂³×C₇	1	2	yes	—
894	#103	C₂³×C₇	1	2	yes	—
895	#103	C₂³×C₇	1	2	yes	—
896	#103	C₂³×C₇	1	2	yes	—
897	#103	C₂³×C₇	1	2	yes	—
898	#103	C₂³×C₇	1	2	yes	—
899	#103	C₂³×C₇	1	2	yes	—
900	#103	C₂³×C₇	1	2	yes	—
901	#103	C₂³×C₇	1	2	yes	—
902	#102	C₂³×C₇	1	2	yes	—
903	#102	C₂³×C₇	1	2	yes	—
904	#102	C₂³×C₇	1	2	yes	—
905	#102	C₂³×C₇	1	2	yes	—
906	#102	C₂³×C₇	1	2	yes	—
907	#102	C₂³×C₇	1	2	yes	—
908	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
909	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
910	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
911	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
912	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
913	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
914	#97	C₂³×C₇	1	2	yes	—
915	#97	C₂³×C₇	1	2	yes	—
916	C₄×C₈	C₂³×C₇	1	2	yes	—
917	C₄×C₈	C₂³×C₇	1	2	yes	—
918	C₂²×C₇	—	2	1	no	—
919	C₂²×C₇	—	2	1	no	—
920	C₂²×C₇	—	2	1	no	—
921	C₂²×C₇	—	2	1	no	—
922	C₂²×C₇	—	2	1	no	—
923	C₂²×C₇	—	2	1	no	—
924	C₂²×C₇	—	2	1	no	—
925	C₂²×C₇	—	2	1	no	—
926	C₂²×C₇	—	4	1	no	—
927	C₂²×C₇	—	4	2	no	—
928	C₂²×C₇	—	4	1	no	—
929	C₂²×C₇	—	4	2	no	—
930	C₂²×C₇	—	4	2	no	—
931	C₂²×C₇	—	4	1	no	—
932	C₂²×C₇	—	8	2	no	—
933	C₂²×C₇	—	8	4	no	—
934	C₂²×C₇	#577	1	2	yes	—
935	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
936	C₄×C₇	—	2	1	no	—
937	C₄×C₇	—	2	1	no	—
938	C₄×C₇	—	2	1	no	—
939	C₄×C₇	—	2	1	no	—
940	C₄×C₇	—	2	1	no	—
941	C₄×C₇	—	2	1	no	—
942	C₄×C₇	—	2	1	no	—
943	C₄×C₇	—	2	1	no	—
944	C₄×C₇	—	2	1	no	—
945	C₄×C₇	—	2	1	no	—
946	C₄×C₇	—	2	1	no	—
947	C₄×C₇	—	4	1	no	—
948	C₄×C₇	—	4	1	no	—
949	C₄×C₇	—	4	1	no	—
950	C₄×C₇	—	4	1	no	—
951	C₄×C₇	—	4	2	no	—
952	C₄×C₇	—	4	1	no	—
953	C₄×C₇	—	4	1	no	—
954	C₄×C₇	—	4	2	no	—
955	C₄×C₇	—	4	2	no	—
956	C₄×C₇	—	4	1	no	—
957	C₄×C₇	#585	1	2	yes	—
958	C₂⁴	—	2	1	no	—
959	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
960	#41	—	4	2	no	—
961	C₂×Q₈	—	2	1	no	—
962	C₂×Q₈	—	2	1	no	—
963	C₂×Q₈	—	2	1	no	—
964	C₂×Q₈	—	2	1	no	—
965	C₂×Q₈	—	2	2	no	—
966	C₂×Q₈	—	2	2	no	—
967	C₂×Q₈	—	4	2	no	—
968	C₂×Q₈	—	4	2	no	—
969	C₂×Q₈	—	8	2	no	—
970	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
971	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
972	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
973	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
974	C₂×D₄	—	2	1	no	—
975	C₂×D₄	—	2	1	no	—
976	C₂×D₄	—	2	1	no	—
977	C₂×D₄	—	2	2	no	—
978	C₂×D₄	—	2	2	no	—
979	C₂×D₄	—	2	1	no	—
980	C₂×D₄	—	4	2	no	—
981	C₂×D₄	—	8	2	no	—
982	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
983	C₂×D₄	C₂⁴×C₇	1	2	yes	—
984	C₂²×C₄	—	2	1	no	—
985	C₂²×C₄	—	2	1	no	—
986	C₂²×C₄	—	2	1	no	—
987	C₂²×C₄	—	2	1	no	—
988	C₂²×C₄	—	2	1	no	—
989	C₂²×C₄	—	2	1	no	—
990	C₂²×C₄	—	2	1	no	—
991	C₂²×C₄	—	2	1	no	—
992	C₂²×C₄	—	2	2	no	—
993	C₂²×C₄	—	2	2	no	—
994	C₂²×C₄	—	4	2	no	—
995	C₂²×C₄	—	8	2	no	—
996	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
997	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
998	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
999	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1000	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1001	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1002	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1003	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1004	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1005	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1006	Q₁₆	—	4	2	no	—
1007	Q₁₆	—	4	2	no	—
1008	Q₁₆	—	4	2	no	—
1009	SD₁₆	—	4	2	no	—
1010	SD₁₆	—	4	2	no	—
1011	SD₁₆	—	4	2	no	—
1012	SD₁₆	—	4	2	no	—
1013	D₈	—	4	2	no	—
1014	M₁₆	—	4	2	no	—
1015	C₂×C₈	—	4	2	no	—
1016	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1017	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1018	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1019	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1020	C₄⋊C₄	—	2	1	no	—
1021	C₄⋊C₄	—	2	1	no	—
1022	C₄⋊C₄	—	2	1	no	—
1023	C₄⋊C₄	—	2	1	no	—
1024	C₄⋊C₄	—	2	1	no	—
1025	C₄⋊C₄	—	2	2	no	—
1026	C₄⋊C₄	—	2	2	no	—
1027	C₄⋊C₄	—	2	2	no	—
1028	C₄⋊C₄	—	2	2	no	—
1029	C₄⋊C₄	—	2	1	no	—
1030	C₄⋊C₄	—	2	1	no	—
1031	C₄⋊C₄	—	2	2	no	—
1032	C₄⋊C₄	—	2	2	no	—
1033	C₄⋊C₄	—	2	1	no	—
1034	C₄⋊C₄	—	2	1	no	—
1035	C₄⋊C₄	—	2	1	no	—
1036	C₄⋊C₄	—	2	1	no	—
1037	C₄⋊C₄	—	2	1	no	—
1038	C₄⋊C₄	—	2	1	no	—
1039	C₄⋊C₄	—	2	1	no	—
1040	C₄⋊C₄	—	2	1	no	—
1041	C₄⋊C₄	—	2	1	no	—
1042	C₄⋊C₄	—	2	1	no	—
1043	C₄⋊C₄	—	2	1	no	—
1044	C₄⋊C₄	—	2	1	no	—
1045	C₄⋊C₄	—	2	1	no	—
1046	C₄⋊C₄	—	2	1	no	—
1047	C₄⋊C₄	—	2	1	no	—
1048	C₄⋊C₄	—	2	1	no	—
1049	C₄⋊C₄	—	2	1	no	—
1050	C₄⋊C₄	—	2	1	no	—
1051	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1052	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1053	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1054	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1055	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1056	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1057	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1058	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1059	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1060	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1061	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1062	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1063	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1064	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1065	C₂²⋊C₄	—	2	1	no	—
1066	C₂²⋊C₄	—	2	1	no	—
1067	C₂²⋊C₄	—	2	2	no	—
1068	C₂²⋊C₄	—	2	2	no	—
1069	C₂²⋊C₄	—	2	1	no	—
1070	C₂²⋊C₄	—	2	1	no	—
1071	C₂²⋊C₄	—	2	1	no	—
1072	C₂²⋊C₄	—	2	1	no	—
1073	C₂²⋊C₄	—	2	1	no	—
1074	C₂²⋊C₄	—	2	2	no	—
1075	C₂²⋊C₄	—	2	2	no	—
1076	C₂²⋊C₄	—	2	2	no	—
1077	C₂²⋊C₄	—	2	2	no	—
1078	C₂²⋊C₄	—	2	2	no	—
1079	C₂²⋊C₄	—	2	2	no	—
1080	C₂²⋊C₄	—	2	2	no	—
1081	C₂²⋊C₄	—	2	2	no	—
1082	C₂²⋊C₄	—	2	1	no	—
1083	C₂²⋊C₄	—	2	1	no	—
1084	C₂²⋊C₄	—	2	1	no	—
1085	C₂²⋊C₄	—	2	1	no	—
1086	C₂²⋊C₄	—	2	1	no	—
1087	C₂²⋊C₄	—	2	1	no	—
1088	C₂²⋊C₄	—	2	1	no	—
1089	C₂²⋊C₄	—	2	1	no	—
1090	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1091	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1092	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1093	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1094	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1095	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1096	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1097	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1098	C₄²	—	2	2	no	—
1099	C₄²	—	2	2	no	—
1100	C₄²	—	2	1	no	—
1101	C₄²	—	2	1	no	—
1102	C₄²	—	2	1	no	—
1103	C₄²	—	2	1	no	—
1104	C₄²	—	2	1	no	—
1105	C₄²	—	2	1	no	—
1106	C₄²	—	2	1	no	—
1107	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1108	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1109	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1110	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1111	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1112	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1113	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1114	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1115	C₂×C₇	—	2	2	no	—
1116	C₂×C₇	—	4	1	no	—
1117	C₂×C₇	—	4	1	no	—
1118	C₂×C₇	—	8	1	no	—
1119	C₂×C₇	—	8	2	no	—
1120	C₂×C₇	#3449	1	1	yes	characteristic
1121	C₂×C₇	C₂×#577	1	1	yes	characteristic
1122	C₂×C₇	#3586	1	1	yes	characteristic
1123	C₂³	—	2	2	no	—
1124	C₂³	—	2	1	no	—
1125	C₂³	—	2	2	no	—
1126	C₂³	—	4	1	no	—
1127	C₂³	—	4	1	no	—
1128	C₂³	—	4	2	no	—
1129	C₂³	—	4	2	no	—
1130	C₂³	—	4	2	no	—
1131	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1132	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1133	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1134	Q₈	—	2	2	no	—
1135	Q₈	—	2	2	no	—
1136	Q₈	—	2	2	no	—
1137	Q₈	—	2	2	no	—
1138	Q₈	—	2	2	no	—
1139	Q₈	—	4	2	no	—
1140	Q₈	—	4	2	no	—
1141	Q₈	—	8	1	no	—
1142	Q₈	—	8	1	no	—
1143	Q₈	—	8	2	no	—
1144	Q₈	—	8	2	no	—
1145	D₄	—	2	2	no	—
1146	D₄	—	2	2	no	—
1147	D₄	—	2	2	no	—
1148	D₄	—	4	2	no	—
1149	D₄	—	4	2	no	—
1150	D₄	—	4	2	no	—
1151	D₄	—	8	1	no	—
1152	D₄	—	8	2	no	—
1153	D₄	—	8	2	no	—
1154	C₂×C₄	—	2	2	no	—
1155	C₂×C₄	—	2	2	no	—
1156	C₂×C₄	—	2	2	no	—
1157	C₂×C₄	—	2	2	no	—
1158	C₂×C₄	—	2	2	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	2	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	2	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	2	no	—
1169	C₂×C₄	—	4	1	no	—
1170	C₂×C₄	—	4	1	no	—
1171	C₂×C₄	—	4	1	no	—
1172	C₂×C₄	—	4	1	no	—
1173	C₂×C₄	—	4	1	no	—
1174	C₂×C₄	—	4	2	no	—
1175	C₂×C₄	—	4	2	no	—
1176	C₂×C₄	—	4	2	no	—
1177	C₂×C₄	—	4	2	no	—
1178	C₂×C₄	—	4	2	no	—
1179	C₂×C₄	—	8	1	no	—
1180	C₂×C₄	—	8	1	no	—
1181	C₂×C₄	—	8	2	no	—
1182	C₂×C₄	—	8	2	no	—
1183	C₂×C₄	—	8	1	no	—
1184	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1185	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1186	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1187	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1188	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1189	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1190	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1191	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1192	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1193	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1194	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1195	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1196	C₈	—	2	2	no	—
1197	C₈	—	2	2	no	—
1198	C₈	—	2	2	no	—
1199	C₈	—	2	2	no	—
1200	C₇	#60977	1	1	yes	characteristic, direct product factor, Sylow
1201	C₂²	—	2	1	no	—
1202	C₂²	—	2	1	no	—
1203	C₂²	—	2	1	no	—
1204	C₂²	—	2	1	no	—
1205	C₂²	—	2	1	no	—
1206	C₂²	—	2	1	no	—
1207	C₂²	—	2	1	no	—
1208	C₂²	—	2	1	no	—
1209	C₂²	—	4	2	no	—
1210	C₂²	—	4	1	no	—
1211	C₂²	—	4	1	no	—
1212	C₂²	—	4	2	no	—
1213	C₂²	—	4	1	no	—
1214	C₂²	—	4	2	no	—
1215	C₂²	—	8	2	no	—
1216	C₂²	—	8	4	no	—
1217	C₂²	C₇×#577	1	2	yes	—
1218	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1219	C₄	—	2	1	no	—
1220	C₄	—	2	1	no	—
1221	C₄	—	2	1	no	—
1222	C₄	—	2	1	no	—
1223	C₄	—	2	1	no	—
1224	C₄	—	2	1	no	—
1225	C₄	—	2	1	no	—
1226	C₄	—	2	1	no	—
1227	C₄	—	2	1	no	—
1228	C₄	—	2	1	no	—
1229	C₄	—	2	1	no	—
1230	C₄	—	4	2	no	—
1231	C₄	—	4	2	no	—
1232	C₄	—	4	1	no	—
1233	C₄	—	4	1	no	—
1234	C₄	—	4	1	no	—
1235	C₄	—	4	1	no	—
1236	C₄	—	4	1	no	—
1237	C₄	—	4	2	no	—
1238	C₄	—	4	1	no	—
1239	C₄	—	4	1	no	—
1240	C₄	C₇×#585	1	2	yes	—
1241	C₂	—	2	2	no	—
1242	C₂	—	4	1	no	—
1243	C₂	—	4	1	no	—
1244	C₂	—	8	2	no	—
1245	C₂	—	8	1	no	—
1246	C₂	C₇×#3449	1	1	yes	characteristic
1247	C₂	C₂×C₇×#577	1	1	yes	characteristic
1248	C₂	C₇×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
prime radical	C₇×#3194	C₂
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×#3495	C₂	semidirect
2. C₂×C₇×#542	C₂	semidirect
3. C₇×#3263	C₂	semidirect
4. C₇×#3258	C₂	semidirect
5. C₇×#3244	C₂	semidirect
6. C₇×#3238	C₂	semidirect
7. C₇×#3229	C₂	semidirect
8. C₇×#3225	C₂	semidirect
9. C₇×#3215	C₂	semidirect
10. C₇×#3211	C₂	semidirect
11. C₇×#3195	C₂	semidirect
13. C₇×#3190	C₂	semidirect
14. C₇×#3187	C₂	semidirect
15. C₇×#3178	C₂	semidirect
16. C₇×#3173	C₂	semidirect
17. C₇×#3125	C₂	semidirect
18. C₇×#3121	C₂	semidirect
19. C₇×#3114	C₂	semidirect
20. C₇×#3113	C₂	semidirect
21. C₇×#3108	C₂	semidirect
22. C₇×#3101	C₂	semidirect
23. C₇×#2924	C₂	semidirect
32. C₇×#544	C₂²	semidirect
41. C₇×#542	C₂²	semidirect
42. C₇×#542	C₂²	semidirect
43. C₇×#541	C₂²	semidirect
44. C₇×#541	C₂²	semidirect
45. C₇×#536	C₂²	semidirect
60. C₇×#520	C₂²	semidirect
61. C₇×#519	C₂²	semidirect
65. C₇×#501	C₂²	semidirect
66. C₇×#498	C₂²	semidirect
67. C₇×#497	C₂²	semidirect
68. C₇×#495	C₂²	semidirect
69. C₇×#489	C₂²	semidirect
70. C₇×#489	C₂²	semidirect
71. C₇×#488	C₂²	semidirect
72. C₇×#487	C₂²	semidirect
73. C₇×#485	C₂²	semidirect
80. C₇×#483	C₂²	semidirect
85. C₇×#479	C₂²	semidirect
86. C₇×#478	C₂²	semidirect
87. C₇×#477	C₂²	semidirect
88. C₇×#476	C₂²	semidirect
89. C₇×#476	C₂²	semidirect
90. C₇×#475	C₂²	semidirect
91. C₇×#475	C₂²	semidirect
92. C₇×#475	C₂²	semidirect
93. C₇×#470	C₂²	semidirect
94. C₇×#470	C₂²	semidirect
97. C₇×#467	C₂²	semidirect
100. C₇×#465	C₂²	semidirect
101. C₇×#464	C₂²	semidirect
102. C₇×#464	C₂²	semidirect
103. C₇×#464	C₂²	semidirect
104. C₇×#464	C₂²	semidirect
105. C₇×#463	C₂²	semidirect
106. C₇×#463	C₂²	semidirect
107. C₇×#462	C₂²	semidirect
108. C₇×#461	C₂²	semidirect
109. C₇×#452	C₂²	semidirect
113. C₇×#451	C₂²	semidirect
121. C₇×#442	C₂²	semidirect
122. C₇×#441	C₂²	semidirect
123. C₇×#441	C₂²	semidirect
124. C₇×#440	C₂²	semidirect
125. C₄×C₇×Q₁₆	C₂²	semidirect
126. C₄×C₇×SD₁₆	C₂²	semidirect
127. C₄×C₇×SD₁₆	C₂²	semidirect
128. C₄×C₇×SD₁₆	C₂²	semidirect
129. C₇×#433	C₂²	semidirect
130. C₇×#433	C₂²	semidirect
135. C₇×#424	C₂²	semidirect
138. C₇×#405	C₂²	semidirect
139. #60977	C₇	direct (N × H)
343. #3495	C₂×C₇	semidirect
344. C₂×#542	C₂×C₇	semidirect
345. #3263	C₂×C₇	semidirect
346. #3258	C₂×C₇	semidirect
347. #3244	C₂×C₇	semidirect
348. #3238	C₂×C₇	semidirect
349. #3229	C₂×C₇	semidirect
350. #3225	C₂×C₇	semidirect
351. #3215	C₂×C₇	semidirect
352. #3211	C₂×C₇	semidirect
353. #3195	C₂×C₇	semidirect
355. #3190	C₂×C₇	semidirect
356. #3187	C₂×C₇	semidirect
357. #3178	C₂×C₇	semidirect
358. #3173	C₂×C₇	semidirect
359. #3125	C₂×C₇	semidirect
360. #3121	C₂×C₇	semidirect
361. #3114	C₂×C₇	semidirect
362. #3113	C₂×C₇	semidirect
363. #3108	C₂×C₇	semidirect
364. #3101	C₂×C₇	semidirect
365. #2924	C₂×C₇	semidirect
531. #544	C₂²×C₇	semidirect
540. #542	C₂²×C₇	semidirect
541. #542	C₂²×C₇	semidirect
542. #541	C₂²×C₇	semidirect
543. #541	C₂²×C₇	semidirect
544. #536	C₂²×C₇	semidirect
559. #520	C₂²×C₇	semidirect
560. #519	C₂²×C₇	semidirect
564. #501	C₂²×C₇	semidirect
565. #498	C₂²×C₇	semidirect
566. #497	C₂²×C₇	semidirect
567. #495	C₂²×C₇	semidirect
568. #489	C₂²×C₇	semidirect
569. #489	C₂²×C₇	semidirect
570. #488	C₂²×C₇	semidirect
571. #487	C₂²×C₇	semidirect
572. #485	C₂²×C₇	semidirect
579. #483	C₂²×C₇	semidirect
584. #479	C₂²×C₇	semidirect
585. #478	C₂²×C₇	semidirect
586. #477	C₂²×C₇	semidirect
587. #476	C₂²×C₇	semidirect
588. #476	C₂²×C₇	semidirect
589. #475	C₂²×C₇	semidirect
590. #475	C₂²×C₇	semidirect
591. #475	C₂²×C₇	semidirect
592. #470	C₂²×C₇	semidirect
593. #470	C₂²×C₇	semidirect
596. #467	C₂²×C₇	semidirect
599. #465	C₂²×C₇	semidirect
600. #464	C₂²×C₇	semidirect
601. #464	C₂²×C₇	semidirect
602. #464	C₂²×C₇	semidirect
603. #464	C₂²×C₇	semidirect
604. #463	C₂²×C₇	semidirect
605. #463	C₂²×C₇	semidirect
606. #462	C₂²×C₇	semidirect
607. #461	C₂²×C₇	semidirect
608. #452	C₂²×C₇	semidirect
612. #451	C₂²×C₇	semidirect
620. #442	C₂²×C₇	semidirect
621. #441	C₂²×C₇	semidirect
622. #441	C₂²×C₇	semidirect
623. #440	C₂²×C₇	semidirect
624. C₄×Q₁₆	C₂²×C₇	semidirect
625. C₄×SD₁₆	C₂²×C₇	semidirect
626. C₄×SD₁₆	C₂²×C₇	semidirect
627. C₄×SD₁₆	C₂²×C₇	semidirect
628. #433	C₂²×C₇	semidirect
629. #433	C₂²×C₇	semidirect
634. #424	C₂²×C₇	semidirect
637. #405	C₂²×C₇	semidirect
1200. C₇	#60977	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×#3495	2
C₂×C₇×#542	2
C₇×#3263	2
C₇×#3258	2
C₇×#3244	2
C₇×#3238	2
C₇×#3229	2
C₇×#3225	2
C₇×#3215	2
C₇×#3211	2
C₇×#3195	2
C₇×#3194	2
C₇×#3190	2
C₇×#3187	2
C₇×#3178	2
C₇×#3173	2
C₇×#3125	2
C₇×#3121	2
C₇×#3114	2
C₇×#3113	2
C₇×#3108	2
C₇×#3101	2
C₇×#2924	2
#60977	7

Subgroups — C7×#60977 #13238193

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60977 #13238193