Subgroups — #14218635

Order 1792.

2094 conjugacy classes of subgroups.

The subgroup lattice has 1938 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743303	C₂	1	1	yes	maximal, characteristic
2	C₇×#2981	C₂	1	1	yes	maximal, characteristic, complemented
3	#11740725	C₂	1	1	yes	maximal, characteristic, complemented
4	#11736990	C₂	1	1	yes	maximal, characteristic, complemented
5	#11736989	C₂	1	1	yes	maximal, characteristic, complemented
6	#11736984	C₂	1	1	yes	maximal, characteristic, complemented
7	#11736982	C₂	1	1	yes	maximal, characteristic, complemented
8	#11736935	C₂	1	1	yes	maximal, characteristic, complemented
9	#11736934	C₂	1	1	yes	maximal, characteristic, complemented
10	#11736933	C₂	1	1	yes	maximal, characteristic, complemented
11	#11736932	C₂	1	1	yes	maximal, characteristic, complemented
12	#11736927	C₂	1	1	yes	maximal, characteristic, complemented
13	#11736926	C₂	1	1	yes	maximal, characteristic, complemented
14	#11736924	C₂	1	1	yes	maximal, characteristic, complemented
15	#11736923	C₂	1	1	yes	maximal, characteristic, complemented
16	#11736874	C₂	1	1	yes	maximal, characteristic, complemented
17	#11736873	C₂	1	1	yes	maximal, characteristic, complemented
18	#11736868	C₂	1	1	yes	maximal, characteristic, complemented
19	#11736866	C₂	1	1	yes	maximal, characteristic, complemented
20	#11736782	C₂	1	1	yes	maximal, characteristic, complemented
21	#11736778	C₂	1	1	yes	maximal, characteristic, complemented
22	#11736734	C₂	1	1	yes	maximal, characteristic, complemented
23	#11736729	C₂	1	1	yes	maximal, characteristic, complemented
24	#11736114	C₂	1	1	yes	maximal, characteristic, complemented
25	#11736114	C₂	1	1	yes	maximal, characteristic, complemented
26	#11736113	C₂	1	1	yes	maximal, characteristic, complemented
27	#11736112	C₂	1	1	yes	maximal, characteristic, complemented
28	#11736108	C₂	1	1	yes	maximal, characteristic, complemented
29	#11736108	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736107	C₂	1	1	yes	maximal, characteristic, complemented
31	D₇×#408	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₇×#41	C₂²	1	1	yes	characteristic
33	C₂×D₇×#41	C₂²	1	1	yes	characteristic
34	C₇×#532	C₂²	1	1	yes	characteristic
35	#90523	C₂²	1	1	yes	characteristic
36	#90523	C₂²	1	1	yes	characteristic
37	C₂×#6470	C₂²	1	1	yes	characteristic
38	C₂×#6470	C₂²	1	1	yes	characteristic
39	C₂×D₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
41	C₂×#6464	C₂²	1	1	yes	characteristic
42	C₂×#6464	C₂²	1	1	yes	characteristic
43	C₂²×#1131	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₈×D₇	C₂²	1	1	yes	characteristic, complemented
45	#90415	C₄	1	1	yes	characteristic
46	#90415	C₄	1	1	yes	characteristic
47	#90406	C₄	1	1	yes	characteristic
48	#90406	C₄	1	1	yes	characteristic
49	#90366	C₄	1	1	yes	characteristic
50	#90366	C₄	1	1	yes	characteristic
51	#90365	C₄	1	1	yes	characteristic
52	#90365	C₄	1	1	yes	characteristic
53	#90296	C₄	1	1	yes	characteristic
54	#90296	C₄	1	1	yes	characteristic
55	#90296	C₄	1	1	yes	characteristic
56	#90296	C₄	1	1	yes	characteristic
57	#90288	C₄	1	1	yes	characteristic
58	#90288	C₄	1	1	yes	characteristic
59	#90288	C₄	1	1	yes	characteristic
60	#90288	C₄	1	1	yes	characteristic
61	#90238	C₂²	1	1	yes	characteristic
62	#90238	C₂²	1	1	yes	characteristic
63	#90238	C₂²	1	1	yes	characteristic
64	#90238	C₂²	1	1	yes	characteristic
65	#90238	C₂²	1	1	yes	characteristic
66	#90238	C₂²	1	1	yes	characteristic
67	#90238	C₂²	1	1	yes	characteristic
68	#90238	C₂²	1	1	yes	characteristic
69	#90168	C₂²	1	1	yes	characteristic
70	C₂×#6435	C₂²	1	1	yes	characteristic
71	C₇×#436	C₂²	1	1	yes	characteristic, complemented
72	C₇×#436	C₂²	1	1	yes	characteristic, complemented
73	C₇×#435	C₂²	1	1	yes	characteristic, complemented
74	C₇×#435	C₂²	1	1	yes	characteristic, complemented
75	C₇×#435	C₂²	1	1	yes	characteristic, complemented
76	C₇×#435	C₂²	1	1	yes	characteristic, complemented
77	C₇×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
78	C₇×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
79	C₇×#432	C₂²	1	1	yes	characteristic, complemented
80	C₇×#431	C₂²	1	1	yes	characteristic, complemented
81	C₇×#408	C₂²	1	1	yes	characteristic, complemented
82	C₇×#408	C₂²	1	1	yes	characteristic, complemented
83	C₇×#408	C₂²	1	1	yes	characteristic, complemented
84	C₇×#408	C₂²	1	1	yes	characteristic, complemented
85	#90006	C₂²	1	1	yes	characteristic, complemented
86	#90006	C₂²	1	1	yes	characteristic, complemented
87	#90006	C₂²	1	1	yes	characteristic, complemented
88	#90006	C₂²	1	1	yes	characteristic, complemented
89	#89901	C₂²	1	1	yes	characteristic
90	#89901	C₂²	1	1	yes	characteristic
91	#89900	C₂²	1	1	yes	characteristic, complemented
92	#89900	C₂²	1	1	yes	characteristic, complemented
93	#89900	C₂²	1	1	yes	characteristic, complemented
94	#89900	C₂²	1	1	yes	characteristic, complemented
95	#89899	C₂²	1	1	yes	characteristic, complemented
96	#89899	C₂²	1	1	yes	characteristic, complemented
97	#89899	C₂²	1	1	yes	characteristic, complemented
98	#89899	C₂²	1	1	yes	characteristic, complemented
99	#89898	C₂²	1	1	yes	characteristic, complemented
100	#89898	C₂²	1	1	yes	characteristic, complemented
101	#89883	C₂²	1	1	yes	characteristic, complemented
102	#89883	C₂²	1	1	yes	characteristic, complemented
103	#89883	C₂²	1	1	yes	characteristic, complemented
104	#89883	C₂²	1	1	yes	characteristic, complemented
105	#89882	C₂²	1	1	yes	characteristic
106	#89882	C₂²	1	1	yes	characteristic
107	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
108	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
109	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
110	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
111	C₂×(C₂×D₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
112	C₂×(C₂×D₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
113	#89784	C₂²	1	1	yes	characteristic, complemented
114	#89784	C₂²	1	1	yes	characteristic, complemented
115	#89783	C₂²	1	1	yes	characteristic, complemented
116	#89783	C₂²	1	1	yes	characteristic, complemented
117	#89783	C₂²	1	1	yes	characteristic, complemented
118	#89783	C₂²	1	1	yes	characteristic, complemented
119	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
120	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
121	#89698	C₂²	1	1	yes	characteristic, complemented
122	#89697	C₂²	1	1	yes	characteristic, complemented
123	#89612	C₂²	1	1	yes	characteristic, complemented
124	#89612	C₂²	1	1	yes	characteristic, complemented
125	#89612	C₂²	1	1	yes	characteristic, complemented
126	#89612	C₂²	1	1	yes	characteristic, complemented
127	#89611	C₂²	1	1	yes	characteristic, complemented
128	#89611	C₂²	1	1	yes	characteristic, complemented
129	#89611	C₂²	1	1	yes	characteristic, complemented
130	#89611	C₂²	1	1	yes	characteristic, complemented
131	#89610	C₂²	1	1	yes	characteristic, complemented
132	#89610	C₂²	1	1	yes	characteristic, complemented
133	#89608	C₂²	1	1	yes	characteristic, complemented
134	#89608	C₂²	1	1	yes	characteristic, complemented
135	#89608	C₂²	1	1	yes	characteristic, complemented
136	#89608	C₂²	1	1	yes	characteristic, complemented
137	#89606	C₂²	1	1	yes	characteristic, complemented
138	#89606	C₂²	1	1	yes	characteristic, complemented
139	#89502	C₂²	1	1	yes	characteristic, complemented
140	#89502	C₂²	1	1	yes	characteristic, complemented
141	#89502	C₂²	1	1	yes	characteristic, complemented
142	#89502	C₂²	1	1	yes	characteristic, complemented
143	#89501	C₂²	1	1	yes	characteristic, complemented
144	#89501	C₂²	1	1	yes	characteristic, complemented
145	#89501	C₂²	1	1	yes	characteristic, complemented
146	#89501	C₂²	1	1	yes	characteristic, complemented
147	#89500	C₂²	1	1	yes	characteristic, complemented
148	#89500	C₂²	1	1	yes	characteristic, complemented
149	#89500	C₂²	1	1	yes	characteristic, complemented
150	#89500	C₂²	1	1	yes	characteristic, complemented
151	#89499	C₂²	1	1	yes	characteristic
152	#89499	C₂²	1	1	yes	characteristic
153	#89499	C₂²	1	1	yes	characteristic
154	#89499	C₂²	1	1	yes	characteristic
155	#89499	C₂²	1	1	yes	characteristic
156	#89499	C₂²	1	1	yes	characteristic
157	#89499	C₂²	1	1	yes	characteristic
158	#89499	C₂²	1	1	yes	characteristic
159	#89499	C₂²	1	1	yes	characteristic, complemented
160	#89499	C₂²	1	1	yes	characteristic, complemented
161	#89499	C₂²	1	1	yes	characteristic, complemented
162	#89499	C₂²	1	1	yes	characteristic, complemented
163	#89499	C₂²	1	1	yes	characteristic, complemented
164	#89499	C₂²	1	1	yes	characteristic, complemented
165	#89499	C₂²	1	1	yes	characteristic, complemented
166	#89499	C₂²	1	1	yes	characteristic, complemented
167	#89498	C₂²	1	1	yes	characteristic
168	#89498	C₂²	1	1	yes	characteristic
169	#89498	C₂²	1	1	yes	characteristic, complemented
170	#89498	C₂²	1	1	yes	characteristic, complemented
171	#89498	C₂²	1	1	yes	characteristic, complemented
172	#89498	C₂²	1	1	yes	characteristic, complemented
173	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
174	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
175	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
176	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
177	D₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
178	D₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
179	D₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
180	D₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
181	D₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
182	D₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
183	#89491	C₂²	1	1	yes	characteristic, complemented
184	#89491	C₂²	1	1	yes	characteristic, complemented
185	#89490	C₂²	1	1	yes	characteristic, complemented
186	#89490	C₂²	1	1	yes	characteristic, complemented
187	#89481	C₂²	1	1	yes	characteristic, complemented
188	#89481	C₂²	1	1	yes	characteristic, complemented
189	#89480	C₂²	1	1	yes	characteristic, complemented
190	#89480	C₂²	1	1	yes	characteristic, complemented
191	#89478	C₂²	1	1	yes	characteristic, complemented
192	#89478	C₂²	1	1	yes	characteristic, complemented
193	#89478	C₂²	1	1	yes	characteristic, complemented
194	#89478	C₂²	1	1	yes	characteristic, complemented
195	#89462	C₂²	1	1	yes	characteristic, complemented
196	#89462	C₂²	1	1	yes	characteristic, complemented
197	#89461	C₂²	1	1	yes	characteristic, complemented
198	#89461	C₂²	1	1	yes	characteristic, complemented
199	#89460	C₂²	1	1	yes	characteristic, complemented
200	#89460	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₂₈	C₂²	1	1	yes	characteristic, complemented
202	C₈×D₂₈	C₂²	1	1	yes	characteristic, complemented
203	#60235	—	7	1	no	maximal, Sylow
204	C₂×C₇×#41	C₂³	1	1	yes	characteristic
205	C₂×C₇×#41	C₂³	1	1	yes	characteristic
206	D₇×#41	—	4	2	no	—
207	D₇×#41	—	4	2	no	—
208	D₇×#41	—	4	2	no	—
209	D₇×#41	—	4	2	no	—
210	C₂×#1161	C₂×C₄	1	1	yes	characteristic
211	C₂×#1161	C₂×C₄	1	1	yes	characteristic
212	C₂×Q₈×D₇	C₂×C₄	1	1	yes	characteristic
213	C₂×Q₈×D₇	C₂×C₄	1	1	yes	characteristic
214	C₂×#1159	C₂×C₄	1	1	yes	characteristic
215	C₂×#1159	C₂×C₄	1	1	yes	characteristic
216	C₂×#1159	C₂×C₄	1	1	yes	characteristic
217	C₂×#1159	C₂×C₄	1	1	yes	characteristic
218	C₂×#1159	C₂×C₄	1	1	yes	characteristic
219	C₂×#1159	C₂×C₄	1	1	yes	characteristic
220	C₂×D₄×D₇	C₂×C₄	1	1	yes	characteristic
221	C₂×D₄×D₇	C₂×C₄	1	1	yes	characteristic
222	C₂×D₄×D₇	C₂×C₄	1	1	yes	characteristic
223	C₂×D₄×D₇	C₂×C₄	1	1	yes	characteristic
224	C₂×D₄×D₇	C₂×C₄	1	1	yes	characteristic
225	C₂×D₄×D₇	C₂×C₄	1	1	yes	characteristic
226	C₂×#1157	C₂³	1	1	yes	characteristic
227	C₂×#1157	C₂³	1	1	yes	characteristic
228	C₂×#1157	C₂³	1	1	yes	characteristic
229	C₂×#1157	C₂³	1	1	yes	characteristic
230	C₂×#1157	C₂³	1	1	yes	characteristic
231	C₂×#1157	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
234	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
237	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
241	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
242	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
243	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
244	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
245	C₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
246	C₇×#127	C₂×C₄	1	1	yes	characteristic
247	C₇×#124	C₂×C₄	1	1	yes	characteristic
248	C₇×#124	C₂×C₄	1	1	yes	characteristic
249	C₇×#121	C₂×C₄	1	1	yes	characteristic
250	C₇×#121	C₂×C₄	1	1	yes	characteristic
251	C₇×#121	C₂×C₄	1	1	yes	characteristic
252	C₇×#121	C₂×C₄	1	1	yes	characteristic
253	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
254	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
255	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
256	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
257	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
258	#6510	C₂×C₄	1	1	yes	characteristic
259	#6510	C₂×C₄	1	1	yes	characteristic
260	#6507	C₂×C₄	1	1	yes	characteristic
261	#6507	C₂×C₄	1	1	yes	characteristic
262	#6503	C₂×C₄	1	1	yes	characteristic
263	#6503	C₂×C₄	1	1	yes	characteristic
264	#6502	C₂×C₄	1	1	yes	characteristic
265	#6502	C₂×C₄	1	1	yes	characteristic
266	#6502	C₂×C₄	1	1	yes	characteristic
267	#6502	C₂×C₄	1	1	yes	characteristic
268	#6502	C₂×C₄	1	1	yes	characteristic
269	#6502	C₂×C₄	1	1	yes	characteristic
270	#6502	C₂×C₄	1	1	yes	characteristic
271	#6502	C₂×C₄	1	1	yes	characteristic
272	#6502	C₂×C₄	1	1	yes	characteristic
273	#6502	C₂×C₄	1	1	yes	characteristic
274	#6502	C₂×C₄	1	1	yes	characteristic
275	#6502	C₂×C₄	1	1	yes	characteristic
276	#6502	C₂×C₄	1	1	yes	characteristic
277	#6502	C₂×C₄	1	1	yes	characteristic
278	#6502	C₂×C₄	1	1	yes	characteristic
279	#6502	C₂×C₄	1	1	yes	characteristic
280	#6500	C₂×C₄	1	1	yes	characteristic
281	#6500	C₂×C₄	1	1	yes	characteristic
282	#6500	C₂×C₄	1	1	yes	characteristic
283	#6500	C₂×C₄	1	1	yes	characteristic
284	#6500	C₂×C₄	1	1	yes	characteristic
285	#6500	C₂×C₄	1	1	yes	characteristic
286	#6500	C₂×C₄	1	1	yes	characteristic
287	#6500	C₂×C₄	1	1	yes	characteristic
288	#6499	C₂×C₄	1	1	yes	characteristic
289	#6499	C₂×C₄	1	1	yes	characteristic
290	#6493	C₂×C₄	1	1	yes	characteristic
291	#6493	C₂×C₄	1	1	yes	characteristic
292	#6493	C₂×C₄	1	1	yes	characteristic
293	#6493	C₂×C₄	1	1	yes	characteristic
294	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
295	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
296	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
297	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
298	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
299	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
300	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
301	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
302	C₂×(C₂×D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
303	C₂×(C₂×D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
304	C₂×Dic₇⋊C₄	C₂×C₄	1	1	yes	characteristic
305	C₂×Dic₇⋊C₄	C₂×C₄	1	1	yes	characteristic
306	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
307	C₂×#1136	C₂³	1	1	yes	characteristic
308	C₂×#1136	C₂³	1	1	yes	characteristic
309	C₂×#1136	C₂³	1	1	yes	characteristic
310	C₂×#1136	C₂³	1	1	yes	characteristic
311	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
312	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
313	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
314	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
315	#6470	—	4	2	no	—
316	#6470	—	4	2	no	—
317	D₇×M₁₆	—	4	2	no	—
318	D₇×M₁₆	—	4	2	no	—
319	#6464	—	4	2	no	—
320	#6464	—	4	2	no	—
321	C₂×#1131	—	4	2	no	—
322	C₂×#1131	C₂³	1	1	yes	characteristic
323	C₂×#1131	C₂³	1	1	yes	characteristic
324	C₂×#1131	C₂³	1	1	yes	characteristic
325	C₂×#1131	C₂³	1	1	yes	characteristic
326	C₂×#1131	C₂³	1	1	yes	characteristic
327	C₂×#1131	C₂³	1	1	yes	characteristic
328	C₂×#1131	C₂³	1	1	yes	characteristic
329	C₂×#1131	C₂³	1	1	yes	characteristic
330	C₂×#1131	C₂³	1	1	yes	characteristic
331	C₂×#1131	C₂³	1	1	yes	characteristic
332	C₂×#1131	C₂³	1	1	yes	characteristic
333	C₂×#1131	C₂³	1	1	yes	characteristic
334	C₂×C₈×D₇	—	4	2	no	—
335	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
336	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
337	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
338	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
339	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
340	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
341	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
342	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
343	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
344	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
345	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
346	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
347	#6459	C₂×C₄	1	1	yes	characteristic
348	#6459	C₂×C₄	1	1	yes	characteristic
349	#6459	C₂×C₄	1	1	yes	characteristic
350	#6459	C₂×C₄	1	1	yes	characteristic
351	#6459	C₂×C₄	1	1	yes	characteristic
352	#6459	C₂×C₄	1	1	yes	characteristic
353	#6459	C₂×C₄	1	1	yes	characteristic
354	#6459	C₂×C₄	1	1	yes	characteristic
355	#6457	C₂×C₄	1	1	yes	characteristic
356	#6457	C₂×C₄	1	1	yes	characteristic
357	#6457	C₂×C₄	1	1	yes	characteristic
358	#6457	C₂×C₄	1	1	yes	characteristic
359	#6457	C₂×C₄	1	1	yes	characteristic
360	#6457	C₂×C₄	1	1	yes	characteristic
361	#6457	C₂×C₄	1	1	yes	characteristic
362	#6457	C₂×C₄	1	1	yes	characteristic
363	#6447	C₂×C₄	1	1	yes	characteristic
364	#6447	C₂×C₄	1	1	yes	characteristic
365	#6447	C₂×C₄	1	1	yes	characteristic
366	#6447	C₂×C₄	1	1	yes	characteristic
367	#6447	C₂×C₄	1	1	yes	characteristic
368	#6447	C₂×C₄	1	1	yes	characteristic
369	#6447	C₂×C₄	1	1	yes	characteristic
370	#6447	C₂×C₄	1	1	yes	characteristic
371	#6446	C₂×C₄	1	1	yes	characteristic
372	#6446	C₂×C₄	1	1	yes	characteristic
373	#6446	C₂×C₄	1	1	yes	characteristic
374	#6446	C₂×C₄	1	1	yes	characteristic
375	#6446	C₂×C₄	1	1	yes	characteristic
376	#6446	C₂×C₄	1	1	yes	characteristic
377	#6446	C₂×C₄	1	1	yes	characteristic
378	#6446	C₂×C₄	1	1	yes	characteristic
379	#6445	C₂×C₄	1	1	yes	characteristic
380	#6445	C₂×C₄	1	1	yes	characteristic
381	#6445	C₂×C₄	1	1	yes	characteristic
382	#6445	C₂×C₄	1	1	yes	characteristic
383	#6445	C₂×C₄	1	1	yes	characteristic
384	#6445	C₂×C₄	1	1	yes	characteristic
385	#6445	C₂×C₄	1	1	yes	characteristic
386	#6445	C₂×C₄	1	1	yes	characteristic
387	#6441	C₂×C₄	1	1	yes	characteristic
388	#6441	C₂×C₄	1	1	yes	characteristic
389	#6441	C₂×C₄	1	1	yes	characteristic
390	#6441	C₂×C₄	1	1	yes	characteristic
391	#6441	C₂×C₄	1	1	yes	characteristic
392	#6441	C₂×C₄	1	1	yes	characteristic
393	#6441	C₂×C₄	1	1	yes	characteristic
394	#6441	C₂×C₄	1	1	yes	characteristic
395	#6438	C₂×C₄	1	1	yes	characteristic
396	#6438	C₂×C₄	1	1	yes	characteristic
397	#6437	C₂×C₄	1	1	yes	characteristic
398	C₄×D₂₈	C₂³	1	1	yes	characteristic
399	C₄×D₂₈	C₂³	1	1	yes	characteristic
400	C₄×D₂₈	C₂³	1	1	yes	characteristic
401	C₄×D₂₈	C₂³	1	1	yes	characteristic
402	#6435	C₂×C₄	1	1	yes	characteristic
403	#6435	C₂×C₄	1	1	yes	characteristic
404	#6435	C₂×C₄	1	1	yes	characteristic
405	#6435	C₂×C₄	1	1	yes	characteristic
406	#6435	C₂³	1	1	yes	characteristic
407	#6435	C₂³	1	1	yes	characteristic
408	#6435	C₂³	1	1	yes	characteristic
409	#6435	C₂³	1	1	yes	characteristic
410	#6432	C₂×C₄	1	1	yes	characteristic
411	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
412	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
413	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
414	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
415	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
416	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
417	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
418	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
419	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
420	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
421	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
422	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
424	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
425	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
426	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₇×#97	C₂³	1	1	yes	characteristic
428	C₇×#97	C₂³	1	1	yes	characteristic
429	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
430	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
431	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
432	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
433	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
434	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
435	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
436	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
437	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
438	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
439	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
440	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
441	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
442	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
443	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
444	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
445	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
446	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
447	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
448	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
449	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
450	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
451	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
452	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
453	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
454	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
455	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
456	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
457	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
458	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
459	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
460	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
461	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
462	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
463	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
464	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
465	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
466	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
467	#6389	C₂³	1	1	yes	characteristic
468	#6389	C₂³	1	1	yes	characteristic
469	#6389	C₂³	1	1	yes	characteristic
470	#6389	C₂³	1	1	yes	characteristic
471	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
472	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
473	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
474	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
475	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
476	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
477	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
478	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
479	C₈×Dic₇	C₂³	1	1	yes	characteristic
480	C₈×Dic₇	C₂³	1	1	yes	characteristic
481	C₈×Dic₇	C₂³	1	1	yes	characteristic
482	C₈×Dic₇	C₂³	1	1	yes	characteristic
483	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
484	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
485	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
486	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
487	#6377	C₂³	1	1	yes	characteristic
488	#6377	C₂³	1	1	yes	characteristic
489	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
490	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
491	#3449	—	7	1	no	—
492	#2981	—	7	1	no	—
493	#2981	—	7	1	no	—
494	#2981	—	7	1	no	—
495	#2981	D₇	1	1	yes	characteristic, complemented
496	#2980	—	7	1	no	—
497	#2980	—	7	1	no	—
498	#2979	—	7	1	no	—
499	#2979	—	7	1	no	—
500	#2978	—	7	1	no	—
501	#2978	—	7	1	no	—
502	#2977	—	7	1	no	—
503	#2977	—	7	1	no	—
504	#2976	—	7	1	no	—
505	#2976	—	7	1	no	—
506	#2976	—	7	1	no	—
507	#2976	—	7	1	no	—
508	#2933	—	7	1	no	—
509	#2933	—	7	1	no	—
510	#2933	—	7	1	no	—
511	#2933	—	7	1	no	—
512	#2930	—	7	1	no	—
513	#2930	—	7	1	no	—
514	#2929	—	7	1	no	—
515	#2929	—	7	1	no	—
516	#2924	—	7	1	no	—
517	#2924	—	7	1	no	—
518	#2880	—	7	1	no	—
519	#2880	—	7	1	no	—
520	#2879	—	7	1	no	—
521	C₂×#408	—	7	1	no	—
522	C₂³×D₇	C₂²×C₄	1	1	yes	characteristic
523	C₂³×D₇	C₂²×C₄	1	1	yes	characteristic
524	C₂³×D₇	C₂²×C₄	1	1	yes	characteristic
525	C₂³×D₇	C₂²×C₄	1	1	yes	characteristic
526	C₂³×D₇	C₂²×C₄	1	1	yes	characteristic
527	C₇×#41	—	4	1	no	—
528	C₇×#41	—	4	1	no	—
529	C₇×#41	—	4	1	no	—
530	C₇×#41	—	4	1	no	—
531	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
538	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
539	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
540	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
541	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
542	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
543	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
544	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
545	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
550	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
551	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
552	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
553	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
554	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
555	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
559	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
560	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
561	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
562	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
563	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
564	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
565	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
566	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
567	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
568	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
569	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
570	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
571	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
572	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
573	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
574	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
575	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
576	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
577	#1161	—	4	2	no	—
578	#1161	—	4	2	no	—
579	Q₈×D₇	—	4	2	no	—
580	Q₈×D₇	—	4	2	no	—
581	#1159	—	4	2	no	—
582	#1159	—	4	2	no	—
583	#1159	—	4	2	no	—
584	#1159	—	4	2	no	—
585	#1159	—	4	2	no	—
586	#1159	—	4	2	no	—
587	D₄×D₇	—	4	2	no	—
588	D₄×D₇	—	4	2	no	—
589	D₄×D₇	—	4	2	no	—
590	D₄×D₇	—	4	2	no	—
591	D₄×D₇	—	4	2	no	—
592	D₄×D₇	—	4	2	no	—
593	#1157	—	2	2	no	—
594	#1157	—	2	2	no	—
595	#1157	—	2	2	no	—
596	#1157	—	2	2	no	—
597	#1157	—	4	1	no	—
598	#1157	—	4	1	no	—
599	#1157	—	4	1	no	—
600	#1157	—	4	1	no	—
601	#1157	—	4	1	no	—
602	#1157	—	4	1	no	—
603	#1157	—	4	1	no	—
604	#1157	—	4	1	no	—
605	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
606	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
607	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
608	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
609	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
610	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
611	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
612	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
613	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
614	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
615	C₂×C₄×D₇	—	2	2	no	—
616	C₂×C₄×D₇	—	2	2	no	—
617	C₂×C₄×D₇	—	2	2	no	—
618	C₂×C₄×D₇	—	2	2	no	—
619	C₂×C₄×D₇	—	2	2	no	—
620	C₂×C₄×D₇	—	2	2	no	—
621	C₂×C₄×D₇	—	4	1	no	—
622	C₂×C₄×D₇	—	4	1	no	—
623	C₂×C₄×D₇	—	4	1	no	—
624	C₂×C₄×D₇	—	4	1	no	—
625	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
626	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
627	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
628	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
629	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
630	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
631	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
632	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
633	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
634	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
635	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
636	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
637	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
638	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
639	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
640	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
641	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
642	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
643	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
644	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
645	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
646	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
647	C₇×M₁₆	—	4	1	no	—
648	C₇×M₁₆	—	4	1	no	—
649	C₇×M₁₆	—	4	1	no	—
650	C₇×M₁₆	—	4	1	no	—
651	C₂×C₇×C₈	—	4	1	no	—
652	C₂×C₇×C₈	—	4	1	no	—
653	C₂×C₇×C₈	—	4	1	no	—
654	C₂×C₇×C₈	—	4	1	no	—
655	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
656	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
657	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
658	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
659	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
660	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
661	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
662	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
663	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
664	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
665	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
666	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
667	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
668	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
669	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
670	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
671	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
672	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
673	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
674	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
675	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
676	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
677	C₄²×C₇	C₂⁴	1	1	yes	characteristic
678	C₄²×C₇	C₂⁴	1	1	yes	characteristic
679	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
680	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
681	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
682	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
683	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
684	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
685	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
686	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
687	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
688	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
689	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
690	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
691	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
692	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
693	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
694	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
695	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
696	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
697	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
698	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
699	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
700	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
701	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
702	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
703	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
704	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
705	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
706	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
707	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
708	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
709	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
710	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
711	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
712	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
713	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
714	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
715	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
716	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
717	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
718	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
719	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
720	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
721	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
722	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
723	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
724	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
725	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
726	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
727	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
728	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
729	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
730	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
731	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
732	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
733	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
734	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
735	#1136	—	4	1	no	—
736	#1136	—	4	1	no	—
737	#1136	—	4	1	no	—
738	#1136	—	4	1	no	—
739	C₂×C₇⋊C₈	—	4	1	no	—
740	C₂×C₇⋊C₈	—	4	1	no	—
741	C₂×C₇⋊C₈	—	4	1	no	—
742	C₂×C₇⋊C₈	—	4	1	no	—
743	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
744	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
745	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
746	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
747	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
748	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
749	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
750	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
751	#1131	—	2	2	no	—
752	#1131	—	2	2	no	—
753	#1131	—	2	2	no	—
754	#1131	—	2	2	no	—
755	#1131	—	4	1	no	—
756	#1131	—	4	1	no	—
757	#1131	—	4	1	no	—
758	#1131	—	4	1	no	—
759	#1131	—	4	1	no	—
760	#1131	—	4	1	no	—
761	#1131	—	4	1	no	—
762	#1131	—	4	1	no	—
763	C₈×D₇	—	2	2	no	—
764	C₈×D₇	—	2	2	no	—
765	C₈×D₇	—	2	2	no	—
766	C₈×D₇	—	2	2	no	—
767	C₈×D₇	—	4	1	no	—
768	C₈×D₇	—	4	1	no	—
769	C₈×D₇	—	4	1	no	—
770	C₈×D₇	—	4	1	no	—
771	C₈×D₇	—	4	1	no	—
772	C₈×D₇	—	4	1	no	—
773	C₈×D₇	—	4	1	no	—
774	C₈×D₇	—	4	1	no	—
775	C₂²×#41	—	7	1	no	—
776	C₂²×#41	—	7	1	no	—
777	C₂×#131	—	7	1	no	—
778	C₂×#131	—	7	1	no	—
779	C₂×#131	—	7	1	no	—
780	C₂×#131	—	7	1	no	—
781	C₂²×M₁₆	—	7	1	no	—
782	C₂²×M₁₆	—	7	1	no	—
783	C₂²×M₁₆	—	7	1	no	—
784	C₂³×C₈	—	7	1	no	—
785	#537	—	7	1	no	—
786	#537	—	7	1	no	—
787	#537	—	7	1	no	—
788	#537	—	7	1	no	—
789	#536	—	7	1	no	—
790	#536	—	7	1	no	—
791	#536	—	7	1	no	—
792	#536	—	7	1	no	—
793	#535	—	7	1	no	—
794	#535	—	7	1	no	—
795	#535	—	7	1	no	—
796	#535	—	7	1	no	—
797	#534	—	7	1	no	—
798	#534	—	7	1	no	—
799	#534	—	7	1	no	—
800	#534	—	7	1	no	—
801	#532	—	7	1	no	—
802	#532	—	7	1	no	—
803	#532	—	7	1	no	—
804	#532	C₂×D₇	1	1	yes	characteristic
805	#525	—	7	1	no	—
806	#525	—	7	1	no	—
807	#525	—	7	1	no	—
808	#525	—	7	1	no	—
809	#525	—	7	1	no	—
810	#525	—	7	1	no	—
811	#525	—	7	1	no	—
812	#525	—	7	1	no	—
813	C₂×#117	—	7	1	no	—
814	#436	—	7	1	no	—
815	#436	—	7	1	no	—
816	#436	—	7	1	no	—
817	#436	—	7	1	no	—
818	#436	—	7	1	no	—
819	#436	—	7	1	no	—
820	#436	—	7	1	no	—
821	#436	—	7	1	no	—
822	#436	—	7	1	no	—
823	#436	—	7	1	no	—
824	#436	—	7	1	no	—
825	#436	—	7	1	no	—
826	#436	—	7	1	no	—
827	#436	—	7	1	no	—
828	#436	C₂×D₇	1	1	yes	characteristic, complemented
829	#436	C₂×D₇	1	1	yes	characteristic, complemented
830	#435	—	7	1	no	—
831	#435	—	7	1	no	—
832	#435	—	7	1	no	—
833	#435	—	7	1	no	—
834	#435	—	7	1	no	—
835	#435	—	7	1	no	—
836	#435	—	7	1	no	—
837	#435	—	7	1	no	—
838	#435	—	7	1	no	—
839	#435	—	7	1	no	—
840	#435	—	7	1	no	—
841	#435	—	7	1	no	—
842	#435	—	7	1	no	—
843	#435	—	7	1	no	—
844	#435	—	7	1	no	—
845	#435	—	7	1	no	—
846	#435	—	7	1	no	—
847	#435	—	7	1	no	—
848	#435	—	7	1	no	—
849	#435	—	7	1	no	—
850	#435	—	7	1	no	—
851	#435	—	7	1	no	—
852	#435	—	7	1	no	—
853	#435	—	7	1	no	—
854	#435	—	7	1	no	—
855	#435	—	7	1	no	—
856	#435	—	7	1	no	—
857	#435	—	7	1	no	—
858	#435	C₂×D₇	1	1	yes	characteristic, complemented
859	#435	C₂×D₇	1	1	yes	characteristic, complemented
860	#435	C₂×D₇	1	1	yes	characteristic, complemented
861	#435	C₂×D₇	1	1	yes	characteristic, complemented
862	C₈×D₄	—	7	1	no	—
863	C₈×D₄	—	7	1	no	—
864	C₈×D₄	—	7	1	no	—
865	C₈×D₄	—	7	1	no	—
866	C₈×D₄	—	7	1	no	—
867	C₈×D₄	—	7	1	no	—
868	C₈×D₄	—	7	1	no	—
869	C₈×D₄	—	7	1	no	—
870	C₈×D₄	—	7	1	no	—
871	C₈×D₄	—	7	1	no	—
872	C₈×D₄	—	7	1	no	—
873	C₈×D₄	—	7	1	no	—
874	C₈×D₄	—	7	1	no	—
875	C₈×D₄	—	7	1	no	—
876	C₈×D₄	C₂×D₇	1	1	yes	characteristic, complemented
877	C₈×D₄	C₂×D₇	1	1	yes	characteristic, complemented
878	#433	—	7	1	no	—
879	#433	—	7	1	no	—
880	#433	—	7	1	no	—
881	#433	—	7	1	no	—
882	#433	—	7	1	no	—
883	#433	—	7	1	no	—
884	#433	—	7	1	no	—
885	#433	—	7	1	no	—
886	#432	—	7	1	no	—
887	#432	—	7	1	no	—
888	#432	—	7	1	no	—
889	#432	C₂×D₇	1	1	yes	characteristic, complemented
890	#431	—	7	1	no	—
891	#431	—	7	1	no	—
892	#431	—	7	1	no	—
893	#431	C₂×D₇	1	1	yes	characteristic, complemented
894	#424	—	7	1	no	—
895	#424	—	7	1	no	—
896	#424	—	7	1	no	—
897	#424	—	7	1	no	—
898	#408	—	7	1	no	—
899	#408	—	7	1	no	—
900	#408	—	7	1	no	—
901	#408	—	7	1	no	—
902	#408	—	7	1	no	—
903	#408	—	7	1	no	—
904	#408	—	7	1	no	—
905	#408	—	7	1	no	—
906	#408	—	7	1	no	—
907	#408	—	7	1	no	—
908	#408	—	7	1	no	—
909	#408	—	7	1	no	—
910	#408	—	7	1	no	—
911	#408	—	7	1	no	—
912	#408	—	7	1	no	—
913	#408	—	7	1	no	—
914	#408	—	7	1	no	—
915	#408	—	7	1	no	—
916	#408	—	7	1	no	—
917	#408	—	7	1	no	—
918	#408	—	7	1	no	—
919	#408	—	7	1	no	—
920	#408	—	7	1	no	—
921	#408	—	7	1	no	—
922	#408	C₂×D₇	1	1	yes	characteristic, complemented
923	#408	C₂×D₇	1	1	yes	characteristic, complemented
924	#408	C₂×D₇	1	1	yes	characteristic, complemented
925	#408	C₂×D₇	1	1	yes	characteristic, complemented
926	#407	—	7	1	no	—
927	#407	—	7	1	no	—
928	#407	—	7	1	no	—
929	#407	—	7	1	no	—
930	#407	—	7	1	no	—
931	#407	—	7	1	no	—
932	#407	—	7	1	no	—
933	#407	—	7	1	no	—
934	C₂×C₂²⋊C₈	—	7	1	no	—
935	C₂×C₂²⋊C₈	—	7	1	no	—
936	C₂×C₂²⋊C₈	—	7	1	no	—
937	C₂×C₂²⋊C₈	—	7	1	no	—
938	C₂×C₂²⋊C₈	—	7	1	no	—
939	C₂×C₂²⋊C₈	—	7	1	no	—
940	C₂×C₂²⋊C₈	—	7	1	no	—
941	C₂×C₂²⋊C₈	—	7	1	no	—
942	#405	—	7	1	no	—
943	#405	—	7	1	no	—
944	#405	—	7	1	no	—
945	#405	—	7	1	no	—
946	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
947	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
948	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
949	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
950	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
951	C₂²×D₇	—	2	2	no	—
952	C₂²×D₇	—	2	2	no	—
953	C₂²×D₇	—	2	2	no	—
954	C₂²×D₇	—	4	1	no	—
955	C₂²×D₇	—	4	1	no	—
956	C₂²×D₇	—	4	1	no	—
957	C₂²×D₇	—	4	1	no	—
958	C₂²×D₇	—	4	1	no	—
959	C₂²×D₇	—	4	1	no	—
960	C₂²×D₇	—	4	1	no	—
961	C₂²×D₇	—	4	1	no	—
962	C₂²×D₇	—	4	1	no	—
963	C₂²×D₇	—	4	1	no	—
964	C₂²×D₇	—	4	1	no	—
965	C₂²×D₇	—	4	1	no	—
966	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
967	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
968	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
969	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
970	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
971	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
972	C₇×Q₈	—	4	1	no	—
973	C₇×Q₈	—	4	1	no	—
974	C₇×D₄	—	4	1	no	—
975	C₇×D₄	—	4	1	no	—
976	C₇×D₄	—	4	1	no	—
977	C₇×D₄	—	4	1	no	—
978	C₇×D₄	—	4	1	no	—
979	C₇×D₄	—	4	1	no	—
980	C₇×D₄	—	4	1	no	—
981	C₇×D₄	—	4	1	no	—
982	C₇×D₄	—	4	1	no	—
983	C₇×D₄	—	4	1	no	—
984	C₂×C₄×C₇	—	2	1	no	—
985	C₂×C₄×C₇	—	2	1	no	—
986	C₂×C₄×C₇	—	2	1	no	—
987	C₂×C₄×C₇	—	2	1	no	—
988	C₂×C₄×C₇	—	2	1	no	—
989	C₂×C₄×C₇	—	2	1	no	—
990	C₂×C₄×C₇	—	2	1	no	—
991	C₂×C₄×C₇	—	2	1	no	—
992	C₂×C₄×C₇	—	2	1	no	—
993	C₂×C₄×C₇	—	2	1	no	—
994	C₂×C₄×C₇	—	4	1	no	—
995	C₂×C₄×C₇	—	4	1	no	—
996	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
997	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
998	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
999	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
1000	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
1001	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
1002	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
1003	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
1004	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
1005	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1006	C₂²⋊D₇	—	2	2	no	—
1007	C₂²⋊D₇	—	2	2	no	—
1008	C₂²⋊D₇	—	2	2	no	—
1009	C₂²⋊D₇	—	2	2	no	—
1010	C₂²⋊D₇	—	4	1	no	—
1011	C₂²⋊D₇	—	4	1	no	—
1012	C₂²⋊D₇	—	4	1	no	—
1013	C₂²⋊D₇	—	4	1	no	—
1014	C₂²⋊D₇	—	4	1	no	—
1015	C₂²⋊D₇	—	4	1	no	—
1016	C₂²⋊D₇	—	4	1	no	—
1017	C₂²⋊D₇	—	4	1	no	—
1018	C₂²⋊D₇	—	4	1	no	—
1019	C₂²⋊D₇	—	4	1	no	—
1020	C₂²⋊D₇	—	4	1	no	—
1021	C₂²⋊D₇	—	4	1	no	—
1022	C₂²⋊D₇	—	4	1	no	—
1023	C₂²⋊D₇	—	4	1	no	—
1024	C₂²⋊D₇	—	4	1	no	—
1025	C₂²⋊D₇	—	4	1	no	—
1026	C₂×Dic₇	—	2	2	no	—
1027	C₂×Dic₇	—	2	2	no	—
1028	C₂×Dic₇	—	2	2	no	—
1029	C₂×Dic₇	—	4	1	no	—
1030	C₂×Dic₇	—	4	1	no	—
1031	C₂×Dic₇	—	4	1	no	—
1032	C₂×Dic₇	—	4	1	no	—
1033	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
1034	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
1035	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
1036	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
1037	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
1038	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
1039	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
1040	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
1041	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
1042	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
1043	D₂₈	—	2	2	no	—
1044	D₂₈	—	2	2	no	—
1045	D₂₈	—	4	1	no	—
1046	D₂₈	—	4	1	no	—
1047	D₂₈	—	4	1	no	—
1048	D₂₈	—	4	1	no	—
1049	D₂₈	—	4	1	no	—
1050	D₂₈	—	4	1	no	—
1051	D₂₈	—	4	1	no	—
1052	D₂₈	—	4	1	no	—
1053	C₄×D₇	—	2	2	no	—
1054	C₄×D₇	—	2	2	no	—
1055	C₄×D₇	—	2	2	no	—
1056	C₄×D₇	—	2	1	no	—
1057	C₄×D₇	—	2	1	no	—
1058	C₄×D₇	—	2	1	no	—
1059	C₄×D₇	—	2	1	no	—
1060	C₄×D₇	—	2	1	no	—
1061	C₄×D₇	—	2	1	no	—
1062	C₄×D₇	—	2	1	no	—
1063	C₄×D₇	—	2	1	no	—
1064	C₄×D₇	—	2	1	no	—
1065	C₄×D₇	—	2	1	no	—
1066	C₄×D₇	—	2	2	no	—
1067	C₄×D₇	—	2	2	no	—
1068	C₄×D₇	—	2	2	no	—
1069	C₄×D₇	—	4	1	no	—
1070	C₄×D₇	—	4	1	no	—
1071	C₄×D₇	—	4	1	no	—
1072	C₄×D₇	—	4	1	no	—
1073	C₄×D₇	H(5,𝔽₂)	1	2	yes	—
1074	C₄×D₇	H(5,𝔽₂)	1	2	yes	—
1075	Dic₁₄	—	2	2	no	—
1076	Dic₁₄	—	2	2	no	—
1077	Dic₁₄	—	4	1	no	—
1078	Dic₁₄	—	4	1	no	—
1079	Dic₁₄	—	4	1	no	—
1080	Dic₁₄	—	4	1	no	—
1081	C₇×C₈	—	2	1	no	—
1082	C₇×C₈	—	2	1	no	—
1083	C₇×C₈	—	2	1	no	—
1084	C₇×C₈	—	2	1	no	—
1085	C₇×C₈	—	2	1	no	—
1086	C₇×C₈	—	2	1	no	—
1087	C₇×C₈	—	2	1	no	—
1088	C₇×C₈	—	2	1	no	—
1089	C₇⋊C₈	—	2	1	no	—
1090	C₇⋊C₈	—	2	1	no	—
1091	C₇⋊C₈	—	2	1	no	—
1092	C₇⋊C₈	—	2	1	no	—
1093	C₇⋊C₈	—	2	1	no	—
1094	C₇⋊C₈	—	2	1	no	—
1095	C₇⋊C₈	—	2	1	no	—
1096	C₇⋊C₈	—	2	1	no	—
1097	C₂×#41	—	7	1	no	—
1098	C₂×#41	—	7	1	no	—
1099	C₂×#41	—	7	1	no	—
1100	C₂×#41	—	7	1	no	—
1101	C₂×#41	—	7	1	no	—
1102	C₂×#41	—	7	1	no	—
1103	C₂×#41	—	7	1	no	—
1104	C₂×#41	—	7	1	no	—
1105	C₂×#41	—	7	1	no	—
1106	C₂×#41	—	7	1	no	—
1107	C₂×#41	—	7	1	no	—
1108	C₂×#41	—	7	1	no	—
1109	C₂×#41	—	7	1	no	—
1110	C₂×#41	—	7	1	no	—
1111	C₂×#41	—	28	2	no	—
1112	C₂×#41	—	28	2	no	—
1113	C₂×#41	—	28	2	no	—
1114	C₂×#41	—	28	2	no	—
1115	C₂×#41	C₂²×D₇	1	1	yes	characteristic
1116	C₂×#41	C₂²×D₇	1	1	yes	characteristic
1117	C₂²×Q₈	—	7	1	no	—
1118	C₂²×Q₈	—	7	1	no	—
1119	C₂²×D₄	—	7	1	no	—
1120	C₂²×D₄	—	7	1	no	—
1121	C₂²×D₄	—	7	1	no	—
1122	C₂²×D₄	—	7	1	no	—
1123	C₂²×D₄	—	7	1	no	—
1124	C₂²×D₄	—	7	1	no	—
1125	C₂³×C₄	—	7	1	no	—
1126	C₂³×C₄	—	7	1	no	—
1127	C₂³×C₄	—	7	1	no	—
1128	C₂³×C₄	—	7	1	no	—
1129	C₂³×C₄	—	7	1	no	—
1130	#131	—	28	2	no	—
1131	#131	—	28	2	no	—
1132	#131	—	28	2	no	—
1133	#131	—	28	2	no	—
1134	C₂×M₁₆	—	7	1	no	—
1135	C₂×M₁₆	—	7	1	no	—
1136	C₂×M₁₆	—	7	1	no	—
1137	C₂×M₁₆	—	7	1	no	—
1138	C₂×M₁₆	—	7	1	no	—
1139	C₂×M₁₆	—	7	1	no	—
1140	C₂×M₁₆	—	7	1	no	—
1141	C₂×M₁₆	—	7	1	no	—
1142	C₂×M₁₆	—	7	1	no	—
1143	C₂×M₁₆	—	7	1	no	—
1144	C₂×M₁₆	—	7	1	no	—
1145	C₂×M₁₆	—	7	1	no	—
1146	C₂×M₁₆	—	7	1	no	—
1147	C₂×M₁₆	—	7	1	no	—
1148	C₂×M₁₆	—	7	1	no	—
1149	C₂×M₁₆	—	7	1	no	—
1150	C₂×M₁₆	—	28	2	no	—
1151	C₂×M₁₆	—	28	2	no	—
1152	C₂×M₁₆	—	28	2	no	—
1153	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1154	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1155	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1156	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1157	C₂²×C₈	—	7	1	no	—
1158	C₂²×C₈	—	7	1	no	—
1159	C₂²×C₈	—	7	1	no	—
1160	C₂²×C₈	—	7	1	no	—
1161	C₂²×C₈	—	7	1	no	—
1162	C₂²×C₈	—	7	1	no	—
1163	C₂²×C₈	—	7	1	no	—
1164	C₂²×C₈	—	7	1	no	—
1165	C₂²×C₈	—	7	1	no	—
1166	C₂²×C₈	—	7	1	no	—
1167	C₂²×C₈	—	7	1	no	—
1168	C₂²×C₈	—	7	1	no	—
1169	C₂²×C₈	—	7	1	no	—
1170	C₂²×C₈	—	7	1	no	—
1171	C₂²×C₈	—	7	1	no	—
1172	C₂²×C₈	—	7	1	no	—
1173	C₂²×C₈	—	28	2	no	—
1174	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1175	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1176	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1177	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1178	C₄⋊Q₈	—	7	1	no	—
1179	C₄⋊Q₈	—	7	1	no	—
1180	C₄⋊Q₈	—	7	1	no	—
1181	C₄⋊Q₈	C₄×D₇	1	1	yes	characteristic
1182	#127	—	7	1	no	—
1183	#127	—	7	1	no	—
1184	#127	—	7	1	no	—
1185	#127	C₄×D₇	1	1	yes	characteristic
1186	#124	—	7	1	no	—
1187	#124	—	7	1	no	—
1188	#124	—	7	1	no	—
1189	#124	—	7	1	no	—
1190	#124	—	7	1	no	—
1191	#124	—	7	1	no	—
1192	#124	C₄×D₇	1	1	yes	characteristic
1193	#124	C₄×D₇	1	1	yes	characteristic
1194	#123	—	7	1	no	—
1195	#123	—	7	1	no	—
1196	#123	—	7	1	no	—
1197	#123	—	7	1	no	—
1198	#123	—	7	1	no	—
1199	#123	—	7	1	no	—
1200	#123	—	7	1	no	—
1201	#123	—	7	1	no	—
1202	#123	—	7	1	no	—
1203	#123	—	7	1	no	—
1204	#123	—	7	1	no	—
1205	#123	—	7	1	no	—
1206	#123	—	7	1	no	—
1207	#123	—	7	1	no	—
1208	#123	—	7	1	no	—
1209	#123	—	7	1	no	—
1210	C₂²⋊Q₈	—	7	1	no	—
1211	C₂²⋊Q₈	—	7	1	no	—
1212	C₂²⋊Q₈	—	7	1	no	—
1213	C₂²⋊Q₈	—	7	1	no	—
1214	C₂²⋊Q₈	—	7	1	no	—
1215	C₂²⋊Q₈	—	7	1	no	—
1216	C₂²⋊Q₈	—	7	1	no	—
1217	C₂²⋊Q₈	—	7	1	no	—
1218	C₂²⋊Q₈	—	7	1	no	—
1219	C₂²⋊Q₈	—	7	1	no	—
1220	C₂²⋊Q₈	—	7	1	no	—
1221	C₂²⋊Q₈	—	7	1	no	—
1222	C₂²⋊Q₈	—	7	1	no	—
1223	C₂²⋊Q₈	—	7	1	no	—
1224	C₂²⋊Q₈	—	7	1	no	—
1225	C₂²⋊Q₈	—	7	1	no	—
1226	#121	—	7	1	no	—
1227	#121	—	7	1	no	—
1228	#121	—	7	1	no	—
1229	#121	—	7	1	no	—
1230	#121	—	7	1	no	—
1231	#121	—	7	1	no	—
1232	#121	—	7	1	no	—
1233	#121	—	7	1	no	—
1234	#121	—	7	1	no	—
1235	#121	—	7	1	no	—
1236	#121	—	7	1	no	—
1237	#121	—	7	1	no	—
1238	#121	—	7	1	no	—
1239	#121	—	7	1	no	—
1240	#121	—	7	1	no	—
1241	#121	—	7	1	no	—
1242	#121	—	7	1	no	—
1243	#121	—	7	1	no	—
1244	#121	—	7	1	no	—
1245	#121	—	7	1	no	—
1246	#121	—	7	1	no	—
1247	#121	—	7	1	no	—
1248	#121	—	7	1	no	—
1249	#121	—	7	1	no	—
1250	#121	—	7	1	no	—
1251	#121	—	7	1	no	—
1252	#121	—	7	1	no	—
1253	#121	—	7	1	no	—
1254	#121	C₄×D₇	1	1	yes	characteristic
1255	#121	C₄×D₇	1	1	yes	characteristic
1256	#121	C₄×D₇	1	1	yes	characteristic
1257	#121	C₄×D₇	1	1	yes	characteristic
1258	#120	—	7	1	no	—
1259	#120	—	7	1	no	—
1260	#120	—	7	1	no	—
1261	#120	—	7	1	no	—
1262	#120	—	7	1	no	—
1263	#120	—	7	1	no	—
1264	#120	—	7	1	no	—
1265	#120	—	7	1	no	—
1266	#120	—	7	1	no	—
1267	#120	—	7	1	no	—
1268	#120	—	7	1	no	—
1269	#120	—	7	1	no	—
1270	#120	—	7	1	no	—
1271	#120	—	7	1	no	—
1272	#120	—	7	1	no	—
1273	#120	—	7	1	no	—
1274	C₄×D₄	—	7	1	no	—
1275	C₄×D₄	—	7	1	no	—
1276	C₄×D₄	—	7	1	no	—
1277	C₄×D₄	—	7	1	no	—
1278	C₄×D₄	—	7	1	no	—
1279	C₄×D₄	—	7	1	no	—
1280	C₄×D₄	—	7	1	no	—
1281	C₄×D₄	—	7	1	no	—
1282	C₄×D₄	—	7	1	no	—
1283	C₄×D₄	—	7	1	no	—
1284	C₄×D₄	—	7	1	no	—
1285	C₄×D₄	—	7	1	no	—
1286	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1287	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1288	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1289	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1290	#117	—	7	1	no	—
1291	#117	—	7	1	no	—
1292	#117	—	7	1	no	—
1293	#117	—	7	1	no	—
1294	#117	—	7	1	no	—
1295	#117	—	7	1	no	—
1296	#117	—	7	1	no	—
1297	#117	—	7	1	no	—
1298	C₂×C₄⋊C₄	—	7	1	no	—
1299	C₂×C₄⋊C₄	—	7	1	no	—
1300	C₂×C₂²⋊C₄	—	7	1	no	—
1301	C₂×C₂²⋊C₄	—	7	1	no	—
1302	C₂×C₄²	—	7	1	no	—
1303	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1304	C₄⋊C₈	—	7	1	no	—
1305	C₄⋊C₈	—	7	1	no	—
1306	C₄⋊C₈	—	7	1	no	—
1307	C₄⋊C₈	—	7	1	no	—
1308	C₄⋊C₈	—	7	1	no	—
1309	C₄⋊C₈	—	7	1	no	—
1310	C₄⋊C₈	—	7	1	no	—
1311	C₄⋊C₈	—	7	1	no	—
1312	C₄⋊C₈	—	7	1	no	—
1313	C₄⋊C₈	—	7	1	no	—
1314	C₄⋊C₈	—	7	1	no	—
1315	C₄⋊C₈	—	7	1	no	—
1316	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1317	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1318	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1319	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1320	C₂²⋊C₈	—	7	1	no	—
1321	C₂²⋊C₈	—	7	1	no	—
1322	C₂²⋊C₈	—	7	1	no	—
1323	C₂²⋊C₈	—	7	1	no	—
1324	C₂²⋊C₈	—	7	1	no	—
1325	C₂²⋊C₈	—	7	1	no	—
1326	C₂²⋊C₈	—	7	1	no	—
1327	C₂²⋊C₈	—	7	1	no	—
1328	C₂²⋊C₈	—	7	1	no	—
1329	C₂²⋊C₈	—	7	1	no	—
1330	C₂²⋊C₈	—	7	1	no	—
1331	C₂²⋊C₈	—	7	1	no	—
1332	C₂²⋊C₈	—	7	1	no	—
1333	C₂²⋊C₈	—	7	1	no	—
1334	C₂²⋊C₈	—	7	1	no	—
1335	C₂²⋊C₈	—	7	1	no	—
1336	C₂²⋊C₈	—	7	1	no	—
1337	C₂²⋊C₈	—	7	1	no	—
1338	C₂²⋊C₈	—	7	1	no	—
1339	C₂²⋊C₈	—	7	1	no	—
1340	C₂²⋊C₈	—	7	1	no	—
1341	C₂²⋊C₈	—	7	1	no	—
1342	C₂²⋊C₈	—	7	1	no	—
1343	C₂²⋊C₈	—	7	1	no	—
1344	C₂²⋊C₈	—	7	1	no	—
1345	C₂²⋊C₈	—	7	1	no	—
1346	C₂²⋊C₈	—	7	1	no	—
1347	C₂²⋊C₈	—	7	1	no	—
1348	C₂²⋊C₈	—	7	1	no	—
1349	C₂²⋊C₈	—	7	1	no	—
1350	C₂²⋊C₈	—	7	1	no	—
1351	C₂²⋊C₈	—	7	1	no	—
1352	C₂²⋊C₈	—	7	1	no	—
1353	C₂²⋊C₈	—	7	1	no	—
1354	C₂²⋊C₈	—	7	1	no	—
1355	C₂²⋊C₈	—	7	1	no	—
1356	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1357	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1358	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1359	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1360	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1361	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1362	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1363	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1364	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1365	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1366	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1367	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1368	#97	—	7	1	no	—
1369	#97	—	7	1	no	—
1370	#97	—	7	1	no	—
1371	#97	—	7	1	no	—
1372	#97	—	7	1	no	—
1373	#97	—	7	1	no	—
1374	#97	C₂²×D₇	1	1	yes	characteristic
1375	#97	C₂²×D₇	1	1	yes	characteristic
1376	C₄×C₈	—	7	1	no	—
1377	C₄×C₈	—	7	1	no	—
1378	C₄×C₈	—	7	1	no	—
1379	C₄×C₈	—	7	1	no	—
1380	C₄×C₈	—	7	1	no	—
1381	C₄×C₈	—	7	1	no	—
1382	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1383	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1384	C₂²×C₇	—	2	1	no	—
1385	C₂²×C₇	—	2	1	no	—
1386	C₂²×C₇	—	2	1	no	—
1387	C₂²×C₇	—	2	1	no	—
1388	C₂²×C₇	—	2	1	no	—
1389	C₂²×C₇	—	2	1	no	—
1390	C₂²×C₇	—	2	1	no	—
1391	C₂²×C₇	—	2	1	no	—
1392	C₂²×C₇	—	2	1	no	—
1393	C₂²×C₇	—	2	1	no	—
1394	C₂²×C₇	—	2	1	no	—
1395	C₂²×C₇	—	2	1	no	—
1396	C₂²×C₇	—	2	1	no	—
1397	C₂²×C₇	—	2	1	no	—
1398	C₂²×C₇	—	2	1	no	—
1399	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
1400	C₂×D₇	—	2	1	no	—
1401	C₂×D₇	—	2	1	no	—
1402	C₂×D₇	—	2	1	no	—
1403	C₂×D₇	—	2	1	no	—
1404	C₂×D₇	—	2	1	no	—
1405	C₂×D₇	—	2	1	no	—
1406	C₂×D₇	—	2	1	no	—
1407	C₂×D₇	—	2	1	no	—
1408	C₂×D₇	—	2	1	no	—
1409	C₂×D₇	—	2	1	no	—
1410	C₂×D₇	—	2	1	no	—
1411	C₂×D₇	—	2	1	no	—
1412	C₂×D₇	—	2	1	no	—
1413	C₂×D₇	—	2	1	no	—
1414	C₂×D₇	—	2	1	no	—
1415	C₂×D₇	—	2	1	no	—
1416	C₂×D₇	—	2	1	no	—
1417	C₂×D₇	—	4	4	no	—
1418	C₂×D₇	—	8	2	no	—
1419	C₂×D₇	—	8	2	no	—
1420	C₂×D₇	—	8	2	no	—
1421	C₂×D₇	—	8	2	no	—
1422	C₂×D₇	#518	1	2	yes	—
1423	C₄×C₇	—	2	1	no	—
1424	C₄×C₇	—	2	1	no	—
1425	C₄×C₇	—	2	1	no	—
1426	C₄×C₇	—	2	1	no	—
1427	C₄×C₇	—	2	1	no	—
1428	C₄×C₇	—	2	1	no	—
1429	C₄×C₇	—	2	1	no	—
1430	C₄×C₇	—	2	1	no	—
1431	C₄×C₇	—	2	1	no	—
1432	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1433	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1434	Dic₇	—	2	1	no	—
1435	Dic₇	—	2	1	no	—
1436	Dic₇	—	2	1	no	—
1437	Dic₇	—	2	1	no	—
1438	Dic₇	—	2	1	no	—
1439	Dic₇	—	2	1	no	—
1440	Dic₇	—	2	1	no	—
1441	Dic₇	—	2	1	no	—
1442	Dic₇	—	2	1	no	—
1443	Dic₇	#518	1	2	yes	—
1444	C₂⁴	—	7	1	no	—
1445	C₂⁴	—	7	1	no	—
1446	C₂⁴	—	7	1	no	—
1447	C₂⁴	—	7	1	no	—
1448	C₂⁴	—	7	1	no	—
1449	#41	—	4	1	no	—
1450	#41	—	4	1	no	—
1451	#41	—	4	1	no	—
1452	#41	—	4	1	no	—
1453	#41	—	14	2	no	—
1454	#41	—	14	2	no	—
1455	#41	—	14	2	no	—
1456	#41	—	14	2	no	—
1457	#41	—	28	1	no	—
1458	#41	—	28	1	no	—
1459	#41	—	28	1	no	—
1460	#41	—	28	1	no	—
1461	#41	—	28	1	no	—
1462	#41	—	28	1	no	—
1463	#41	—	28	1	no	—
1464	#41	—	28	1	no	—
1465	#41	—	28	2	no	—
1466	#41	—	28	2	no	—
1467	#41	—	28	2	no	—
1468	#41	—	28	2	no	—
1469	#41	—	28	2	no	—
1470	#41	—	28	2	no	—
1471	#41	—	28	2	no	—
1472	#41	—	28	2	no	—
1473	C₂×Q₈	—	7	1	no	—
1474	C₂×Q₈	—	7	1	no	—
1475	C₂×Q₈	—	7	1	no	—
1476	C₂×Q₈	—	7	1	no	—
1477	C₂×Q₈	—	7	1	no	—
1478	C₂×Q₈	—	7	1	no	—
1479	C₂×Q₈	—	28	2	no	—
1480	C₂×Q₈	—	28	2	no	—
1481	C₂×Q₈	C₂×C₄×D₇	1	1	yes	characteristic
1482	C₂×Q₈	C₂×C₄×D₇	1	1	yes	characteristic
1483	C₂×D₄	—	7	1	no	—
1484	C₂×D₄	—	7	1	no	—
1485	C₂×D₄	—	7	1	no	—
1486	C₂×D₄	—	7	1	no	—
1487	C₂×D₄	—	7	1	no	—
1488	C₂×D₄	—	7	1	no	—
1489	C₂×D₄	—	7	1	no	—
1490	C₂×D₄	—	7	1	no	—
1491	C₂×D₄	—	7	1	no	—
1492	C₂×D₄	—	7	1	no	—
1493	C₂×D₄	—	7	1	no	—
1494	C₂×D₄	—	7	1	no	—
1495	C₂×D₄	—	7	1	no	—
1496	C₂×D₄	—	7	1	no	—
1497	C₂×D₄	—	7	1	no	—
1498	C₂×D₄	—	7	1	no	—
1499	C₂×D₄	—	7	1	no	—
1500	C₂×D₄	—	7	1	no	—
1501	C₂×D₄	—	7	1	no	—
1502	C₂×D₄	—	7	1	no	—
1503	C₂×D₄	—	7	1	no	—
1504	C₂×D₄	—	7	1	no	—
1505	C₂×D₄	—	7	1	no	—
1506	C₂×D₄	—	7	1	no	—
1507	C₂×D₄	—	7	1	no	—
1508	C₂×D₄	—	7	1	no	—
1509	C₂×D₄	—	7	1	no	—
1510	C₂×D₄	—	7	1	no	—
1511	C₂×D₄	—	7	1	no	—
1512	C₂×D₄	—	7	1	no	—
1513	C₂×D₄	—	28	2	no	—
1514	C₂×D₄	—	28	2	no	—
1515	C₂×D₄	—	28	2	no	—
1516	C₂×D₄	—	28	2	no	—
1517	C₂×D₄	—	28	2	no	—
1518	C₂×D₄	—	28	2	no	—
1519	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1520	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1521	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1522	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1523	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1524	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1525	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1526	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1527	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1528	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1529	C₂²×C₄	—	7	1	no	—
1530	C₂²×C₄	—	7	1	no	—
1531	C₂²×C₄	—	7	1	no	—
1532	C₂²×C₄	—	7	1	no	—
1533	C₂²×C₄	—	7	1	no	—
1534	C₂²×C₄	—	7	1	no	—
1535	C₂²×C₄	—	7	1	no	—
1536	C₂²×C₄	—	7	1	no	—
1537	C₂²×C₄	—	7	1	no	—
1538	C₂²×C₄	—	7	1	no	—
1539	C₂²×C₄	—	7	1	no	—
1540	C₂²×C₄	—	7	1	no	—
1541	C₂²×C₄	—	7	1	no	—
1542	C₂²×C₄	—	7	1	no	—
1543	C₂²×C₄	—	7	1	no	—
1544	C₂²×C₄	—	7	1	no	—
1545	C₂²×C₄	—	7	1	no	—
1546	C₂²×C₄	—	7	1	no	—
1547	C₂²×C₄	—	7	1	no	—
1548	C₂²×C₄	—	7	1	no	—
1549	C₂²×C₄	—	7	1	no	—
1550	C₂²×C₄	—	7	1	no	—
1551	C₂²×C₄	—	7	1	no	—
1552	C₂²×C₄	—	14	2	no	—
1553	C₂²×C₄	—	14	2	no	—
1554	C₂²×C₄	—	14	2	no	—
1555	C₂²×C₄	—	14	2	no	—
1556	C₂²×C₄	—	14	2	no	—
1557	C₂²×C₄	—	14	2	no	—
1558	C₂²×C₄	—	28	1	no	—
1559	C₂²×C₄	—	28	1	no	—
1560	C₂²×C₄	—	28	1	no	—
1561	C₂²×C₄	—	28	1	no	—
1562	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1563	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1564	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1565	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1566	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1567	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1568	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1569	M₁₆	—	4	1	no	—
1570	M₁₆	—	4	1	no	—
1571	M₁₆	—	4	1	no	—
1572	M₁₆	—	4	1	no	—
1573	M₁₆	—	14	2	no	—
1574	M₁₆	—	14	2	no	—
1575	M₁₆	—	14	2	no	—
1576	M₁₆	—	14	2	no	—
1577	M₁₆	—	28	1	no	—
1578	M₁₆	—	28	1	no	—
1579	M₁₆	—	28	1	no	—
1580	M₁₆	—	28	1	no	—
1581	M₁₆	—	28	1	no	—
1582	M₁₆	—	28	1	no	—
1583	M₁₆	—	28	1	no	—
1584	M₁₆	—	28	1	no	—
1585	M₁₆	—	28	1	no	—
1586	M₁₆	—	28	1	no	—
1587	M₁₆	—	28	1	no	—
1588	M₁₆	—	28	1	no	—
1589	C₂×C₈	—	4	1	no	—
1590	C₂×C₈	—	4	1	no	—
1591	C₂×C₈	—	4	1	no	—
1592	C₂×C₈	—	4	1	no	—
1593	C₂×C₈	—	7	1	no	—
1594	C₂×C₈	—	7	1	no	—
1595	C₂×C₈	—	7	1	no	—
1596	C₂×C₈	—	7	1	no	—
1597	C₂×C₈	—	7	1	no	—
1598	C₂×C₈	—	7	1	no	—
1599	C₂×C₈	—	7	1	no	—
1600	C₂×C₈	—	7	1	no	—
1601	C₂×C₈	—	14	2	no	—
1602	C₂×C₈	—	14	2	no	—
1603	C₂×C₈	—	14	2	no	—
1604	C₂×C₈	—	14	2	no	—
1605	C₂×C₈	—	28	1	no	—
1606	C₂×C₈	—	28	1	no	—
1607	C₂×C₈	—	28	1	no	—
1608	C₂×C₈	—	28	1	no	—
1609	C₂×C₈	—	28	1	no	—
1610	C₂×C₈	—	28	1	no	—
1611	C₂×C₈	—	28	1	no	—
1612	C₂×C₈	—	28	1	no	—
1613	C₂×C₈	—	28	1	no	—
1614	C₂×C₈	—	28	1	no	—
1615	C₂×C₈	—	28	1	no	—
1616	C₂×C₈	—	28	1	no	—
1617	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1618	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1619	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1620	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1621	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1622	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1623	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1624	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1625	C₄⋊C₄	—	7	1	no	—
1626	C₄⋊C₄	—	7	1	no	—
1627	C₄⋊C₄	—	7	1	no	—
1628	C₄⋊C₄	—	7	1	no	—
1629	C₄⋊C₄	—	7	1	no	—
1630	C₄⋊C₄	—	7	1	no	—
1631	C₄⋊C₄	—	7	1	no	—
1632	C₄⋊C₄	—	7	1	no	—
1633	C₄⋊C₄	—	7	1	no	—
1634	C₄⋊C₄	—	7	1	no	—
1635	C₄⋊C₄	—	7	1	no	—
1636	C₄⋊C₄	—	7	1	no	—
1637	C₄⋊C₄	—	7	1	no	—
1638	C₄⋊C₄	—	7	1	no	—
1639	C₄⋊C₄	—	7	1	no	—
1640	C₄⋊C₄	—	7	1	no	—
1641	C₄⋊C₄	—	7	1	no	—
1642	C₄⋊C₄	—	7	1	no	—
1643	C₄⋊C₄	—	7	1	no	—
1644	C₄⋊C₄	—	7	1	no	—
1645	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1646	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1647	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1648	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1649	C₂²⋊C₄	—	7	1	no	—
1650	C₂²⋊C₄	—	7	1	no	—
1651	C₂²⋊C₄	—	7	1	no	—
1652	C₂²⋊C₄	—	7	1	no	—
1653	C₂²⋊C₄	—	7	1	no	—
1654	C₂²⋊C₄	—	7	1	no	—
1655	C₂²⋊C₄	—	7	1	no	—
1656	C₂²⋊C₄	—	7	1	no	—
1657	C₂²⋊C₄	—	7	1	no	—
1658	C₂²⋊C₄	—	7	1	no	—
1659	C₂²⋊C₄	—	7	1	no	—
1660	C₂²⋊C₄	—	7	1	no	—
1661	C₂²⋊C₄	—	7	1	no	—
1662	C₂²⋊C₄	—	7	1	no	—
1663	C₂²⋊C₄	—	7	1	no	—
1664	C₂²⋊C₄	—	7	1	no	—
1665	C₂²⋊C₄	—	7	1	no	—
1666	C₂²⋊C₄	—	7	1	no	—
1667	C₂²⋊C₄	—	7	1	no	—
1668	C₂²⋊C₄	—	7	1	no	—
1669	C₂²⋊C₄	—	7	1	no	—
1670	C₂²⋊C₄	—	7	1	no	—
1671	C₂²⋊C₄	—	7	1	no	—
1672	C₂²⋊C₄	—	7	1	no	—
1673	C₂²⋊C₄	—	7	1	no	—
1674	C₂²⋊C₄	—	7	1	no	—
1675	C₂²⋊C₄	—	7	1	no	—
1676	C₂²⋊C₄	—	7	1	no	—
1677	C₂²⋊C₄	—	7	1	no	—
1678	C₂²⋊C₄	—	7	1	no	—
1679	C₂²⋊C₄	—	7	1	no	—
1680	C₂²⋊C₄	—	7	1	no	—
1681	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1682	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1683	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1684	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1685	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1686	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1687	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1688	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1689	C₄²	—	7	1	no	—
1690	C₄²	—	7	1	no	—
1691	C₄²	—	7	1	no	—
1692	C₄²	—	7	1	no	—
1693	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1694	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1695	C₄²	C₂³×D₇	1	1	yes	characteristic
1696	C₄²	C₂³×D₇	1	1	yes	characteristic
1697	C₂×C₇	—	4	1	no	—
1698	C₂×C₇	—	4	1	no	—
1699	C₂×C₇	—	4	1	no	—
1700	C₂×C₇	—	4	1	no	—
1701	C₂×C₇	—	4	1	no	—
1702	C₂×C₇	C₂×#518	1	1	yes	characteristic
1703	C₂×C₇	#3573	1	1	yes	characteristic
1704	C₂×C₇	#3573	1	1	yes	characteristic
1705	D₇	—	2	2	no	—
1706	D₇	—	4	1	no	—
1707	D₇	—	4	1	no	—
1708	D₇	—	4	1	no	—
1709	D₇	—	4	1	no	—
1710	D₇	—	4	1	no	—
1711	C₂³	—	7	1	no	—
1712	C₂³	—	7	1	no	—
1713	C₂³	—	7	1	no	—
1714	C₂³	—	7	1	no	—
1715	C₂³	—	7	1	no	—
1716	C₂³	—	7	1	no	—
1717	C₂³	—	14	2	no	—
1718	C₂³	—	14	2	no	—
1719	C₂³	—	14	2	no	—
1720	C₂³	—	28	1	no	—
1721	C₂³	—	28	1	no	—
1722	C₂³	—	28	1	no	—
1723	C₂³	—	28	1	no	—
1724	C₂³	—	28	1	no	—
1725	C₂³	—	28	1	no	—
1726	C₂³	—	28	1	no	—
1727	C₂³	—	28	1	no	—
1728	C₂³	—	28	1	no	—
1729	C₂³	—	28	1	no	—
1730	C₂³	—	28	1	no	—
1731	C₂³	—	28	1	no	—
1732	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1733	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1734	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1735	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1736	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1737	Q₈	—	4	1	no	—
1738	Q₈	—	4	1	no	—
1739	Q₈	—	14	2	no	—
1740	Q₈	—	14	2	no	—
1741	Q₈	—	28	1	no	—
1742	Q₈	—	28	1	no	—
1743	Q₈	—	28	1	no	—
1744	Q₈	—	28	1	no	—
1745	D₄	—	4	1	no	—
1746	D₄	—	4	1	no	—
1747	D₄	—	4	1	no	—
1748	D₄	—	4	1	no	—
1749	D₄	—	4	1	no	—
1750	D₄	—	4	1	no	—
1751	D₄	—	4	1	no	—
1752	D₄	—	4	1	no	—
1753	D₄	—	4	1	no	—
1754	D₄	—	4	1	no	—
1755	D₄	—	14	2	no	—
1756	D₄	—	14	2	no	—
1757	D₄	—	14	2	no	—
1758	D₄	—	14	2	no	—
1759	D₄	—	14	2	no	—
1760	D₄	—	14	2	no	—
1761	D₄	—	28	1	no	—
1762	D₄	—	28	1	no	—
1763	D₄	—	28	1	no	—
1764	D₄	—	28	1	no	—
1765	D₄	—	28	1	no	—
1766	D₄	—	28	1	no	—
1767	D₄	—	28	1	no	—
1768	D₄	—	28	1	no	—
1769	D₄	—	28	1	no	—
1770	D₄	—	28	1	no	—
1771	D₄	—	28	1	no	—
1772	D₄	—	28	1	no	—
1773	D₄	—	28	1	no	—
1774	D₄	—	28	1	no	—
1775	D₄	—	28	1	no	—
1776	D₄	—	28	1	no	—
1777	D₄	—	28	1	no	—
1778	D₄	—	28	1	no	—
1779	D₄	—	28	1	no	—
1780	D₄	—	28	1	no	—
1781	D₄	—	28	1	no	—
1782	D₄	—	28	1	no	—
1783	D₄	—	28	1	no	—
1784	D₄	—	28	1	no	—
1785	C₂×C₄	—	2	1	no	—
1786	C₂×C₄	—	2	1	no	—
1787	C₂×C₄	—	2	1	no	—
1788	C₂×C₄	—	2	1	no	—
1789	C₂×C₄	—	2	1	no	—
1790	C₂×C₄	—	2	1	no	—
1791	C₂×C₄	—	2	1	no	—
1792	C₂×C₄	—	2	1	no	—
1793	C₂×C₄	—	2	1	no	—
1794	C₂×C₄	—	2	1	no	—
1795	C₂×C₄	—	4	1	no	—
1796	C₂×C₄	—	4	1	no	—
1797	C₂×C₄	—	7	1	no	—
1798	C₂×C₄	—	7	2	no	—
1799	C₂×C₄	—	7	2	no	—
1800	C₂×C₄	—	7	1	no	—
1801	C₂×C₄	—	7	1	no	—
1802	C₂×C₄	—	7	1	no	—
1803	C₂×C₄	—	7	1	no	—
1804	C₂×C₄	—	7	1	no	—
1805	C₂×C₄	—	7	1	no	—
1806	C₂×C₄	—	7	1	no	—
1807	C₂×C₄	—	7	1	no	—
1808	C₂×C₄	—	7	1	no	—
1809	C₂×C₄	—	14	2	no	—
1810	C₂×C₄	—	14	2	no	—
1811	C₂×C₄	—	14	2	no	—
1812	C₂×C₄	—	14	2	no	—
1813	C₂×C₄	—	14	2	no	—
1814	C₂×C₄	—	14	2	no	—
1815	C₂×C₄	—	14	2	no	—
1816	C₂×C₄	—	14	2	no	—
1817	C₂×C₄	—	14	2	no	—
1818	C₂×C₄	—	14	1	no	—
1819	C₂×C₄	—	14	1	no	—
1820	C₂×C₄	—	14	1	no	—
1821	C₂×C₄	—	14	1	no	—
1822	C₂×C₄	—	14	1	no	—
1823	C₂×C₄	—	14	1	no	—
1824	C₂×C₄	—	14	1	no	—
1825	C₂×C₄	—	14	1	no	—
1826	C₂×C₄	—	14	1	no	—
1827	C₂×C₄	—	14	1	no	—
1828	C₂×C₄	—	28	1	no	—
1829	C₂×C₄	—	28	1	no	—
1830	C₂×C₄	—	28	1	no	—
1831	C₂×C₄	—	28	1	no	—
1832	C₂×C₄	—	28	1	no	—
1833	C₂×C₄	—	28	1	no	—
1834	C₂×C₄	—	28	1	no	—
1835	C₂×C₄	—	28	1	no	—
1836	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1837	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1838	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1839	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1840	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1841	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1842	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1843	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1844	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1845	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1846	C₈	—	2	1	no	—
1847	C₈	—	2	1	no	—
1848	C₈	—	2	1	no	—
1849	C₈	—	2	1	no	—
1850	C₈	—	2	1	no	—
1851	C₈	—	2	1	no	—
1852	C₈	—	2	1	no	—
1853	C₈	—	2	1	no	—
1854	C₈	—	14	1	no	—
1855	C₈	—	14	1	no	—
1856	C₈	—	14	1	no	—
1857	C₈	—	14	1	no	—
1858	C₈	—	14	1	no	—
1859	C₈	—	14	1	no	—
1860	C₈	—	14	1	no	—
1861	C₈	—	14	1	no	—
1862	C₇	#60235	1	1	yes	characteristic, complemented, Sylow
1863	C₂²	—	2	1	no	—
1864	C₂²	—	2	1	no	—
1865	C₂²	—	2	1	no	—
1866	C₂²	—	2	1	no	—
1867	C₂²	—	2	1	no	—
1868	C₂²	—	2	1	no	—
1869	C₂²	—	2	1	no	—
1870	C₂²	—	2	1	no	—
1871	C₂²	—	2	1	no	—
1872	C₂²	—	2	1	no	—
1873	C₂²	—	2	1	no	—
1874	C₂²	—	2	1	no	—
1875	C₂²	—	2	1	no	—
1876	C₂²	—	2	1	no	—
1877	C₂²	—	2	1	no	—
1878	C₂²	—	7	2	no	—
1879	C₂²	—	14	1	no	—
1880	C₂²	—	14	1	no	—
1881	C₂²	—	14	1	no	—
1882	C₂²	—	14	1	no	—
1883	C₂²	—	14	1	no	—
1884	C₂²	—	14	1	no	—
1885	C₂²	—	14	1	no	—
1886	C₂²	—	14	1	no	—
1887	C₂²	—	14	1	no	—
1888	C₂²	—	14	1	no	—
1889	C₂²	—	14	1	no	—
1890	C₂²	—	14	1	no	—
1891	C₂²	—	14	1	no	—
1892	C₂²	—	14	1	no	—
1893	C₂²	—	14	1	no	—
1894	C₂²	—	14	1	no	—
1895	C₂²	—	14	1	no	—
1896	C₂²	—	28	4	no	—
1897	C₂²	—	56	2	no	—
1898	C₂²	—	56	2	no	—
1899	C₂²	—	56	2	no	—
1900	C₂²	—	56	2	no	—
1901	C₂²	C₂³×C₄×D₇	1	1	yes	characteristic
1902	C₄	—	2	1	no	—
1903	C₄	—	2	1	no	—
1904	C₄	—	2	1	no	—
1905	C₄	—	2	1	no	—
1906	C₄	—	2	1	no	—
1907	C₄	—	2	1	no	—
1908	C₄	—	2	1	no	—
1909	C₄	—	2	1	no	—
1910	C₄	—	2	1	no	—
1911	C₄	—	7	2	no	—
1912	C₄	—	14	1	no	—
1913	C₄	—	14	1	no	—
1914	C₄	—	14	1	no	—
1915	C₄	—	14	1	no	—
1916	C₄	—	14	1	no	—
1917	C₄	—	14	1	no	—
1918	C₄	—	14	1	no	—
1919	C₄	—	14	1	no	—
1920	C₄	—	14	1	no	—
1921	C₄	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1922	C₄	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1923	C₂	—	4	1	no	—
1924	C₂	—	4	1	no	—
1925	C₂	—	4	1	no	—
1926	C₂	—	4	1	no	—
1927	C₂	—	4	1	no	—
1928	C₂	—	14	2	no	—
1929	C₂	—	28	1	no	—
1930	C₂	—	28	1	no	—
1931	C₂	—	28	1	no	—
1932	C₂	—	28	1	no	—
1933	C₂	—	28	1	no	—
1934	C₂	D₇×#518	1	1	yes	characteristic
1935	C₂	#11744228	1	1	yes	characteristic
1936	C₂	#11744234	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇
commutator, socle	C₂²×C₇	C₂⁴×C₄
Fitting	C₇×#2981	C₂
prime radical	#11743303	C₂
cosocle	C₂×C₄×C₇	C₂⁵
hypercenter	#2981	D₇
hypocenter	C₇	#60235
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂×C₄ ◁ #2981

Complements

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

N	H ≅ G/N	type
2. C₇×#2981	C₂	semidirect
3. #11740725	C₂	semidirect
4. #11736990	C₂	semidirect
5. #11736989	C₂	semidirect
6. #11736984	C₂	semidirect
7. #11736982	C₂	semidirect
8. #11736935	C₂	semidirect
9. #11736934	C₂	semidirect
10. #11736933	C₂	semidirect
11. #11736932	C₂	semidirect
12. #11736927	C₂	semidirect
13. #11736926	C₂	semidirect
14. #11736924	C₂	semidirect
15. #11736923	C₂	semidirect
16. #11736874	C₂	semidirect
17. #11736873	C₂	semidirect
18. #11736868	C₂	semidirect
19. #11736866	C₂	semidirect
20. #11736782	C₂	semidirect
21. #11736778	C₂	semidirect
22. #11736734	C₂	semidirect
23. #11736729	C₂	semidirect
24. #11736114	C₂	semidirect
25. #11736114	C₂	semidirect
26. #11736113	C₂	semidirect
27. #11736112	C₂	semidirect
28. #11736108	C₂	semidirect
29. #11736108	C₂	semidirect
30. #11736107	C₂	semidirect
31. D₇×#408	C₂	semidirect
39. C₂×D₇×M₁₆	C₂²	semidirect
40. C₂×D₇×M₁₆	C₂²	semidirect
43. C₂²×#1131	C₂²	semidirect
44. C₂²×C₈×D₇	C₂²	semidirect
71. C₇×#436	C₂²	semidirect
72. C₇×#436	C₂²	semidirect
73. C₇×#435	C₂²	semidirect
74. C₇×#435	C₂²	semidirect
75. C₇×#435	C₂²	semidirect
76. C₇×#435	C₂²	semidirect
77. C₇×C₈×D₄	C₂²	semidirect
78. C₇×C₈×D₄	C₂²	semidirect
79. C₇×#432	C₂²	semidirect
80. C₇×#431	C₂²	semidirect
81. C₇×#408	C₂²	semidirect
82. C₇×#408	C₂²	semidirect
83. C₇×#408	C₂²	semidirect
84. C₇×#408	C₂²	semidirect
85. #90006	C₂²	semidirect
86. #90006	C₂²	semidirect
87. #90006	C₂²	semidirect
88. #90006	C₂²	semidirect
91. #89900	C₂²	semidirect
92. #89900	C₂²	semidirect
93. #89900	C₂²	semidirect
94. #89900	C₂²	semidirect
95. #89899	C₂²	semidirect
96. #89899	C₂²	semidirect
97. #89899	C₂²	semidirect
98. #89899	C₂²	semidirect
99. #89898	C₂²	semidirect
100. #89898	C₂²	semidirect
101. #89883	C₂²	semidirect
102. #89883	C₂²	semidirect
103. #89883	C₂²	semidirect
104. #89883	C₂²	semidirect
107. C₈×C₂²⋊D₇	C₂²	semidirect
108. C₈×C₂²⋊D₇	C₂²	semidirect
109. C₈×C₂²⋊D₇	C₂²	semidirect
110. C₈×C₂²⋊D₇	C₂²	semidirect
111. C₂×(C₂×D₇)⋊C₈	C₂²	semidirect
112. C₂×(C₂×D₇)⋊C₈	C₂²	semidirect
113. #89784	C₂²	semidirect
114. #89784	C₂²	semidirect
115. #89783	C₂²	semidirect
116. #89783	C₂²	semidirect
117. #89783	C₂²	semidirect
118. #89783	C₂²	semidirect
119. D₄×C₇⋊C₈	C₂²	semidirect
120. D₄×C₇⋊C₈	C₂²	semidirect
121. #89698	C₂²	semidirect
122. #89697	C₂²	semidirect
123. #89612	C₂²	semidirect
124. #89612	C₂²	semidirect
125. #89612	C₂²	semidirect
126. #89612	C₂²	semidirect
127. #89611	C₂²	semidirect
128. #89611	C₂²	semidirect
129. #89611	C₂²	semidirect
130. #89611	C₂²	semidirect
131. #89610	C₂²	semidirect
132. #89610	C₂²	semidirect
133. #89608	C₂²	semidirect
134. #89608	C₂²	semidirect
135. #89608	C₂²	semidirect
136. #89608	C₂²	semidirect
137. #89606	C₂²	semidirect
138. #89606	C₂²	semidirect
139. #89502	C₂²	semidirect
140. #89502	C₂²	semidirect
141. #89502	C₂²	semidirect
142. #89502	C₂²	semidirect
143. #89501	C₂²	semidirect
144. #89501	C₂²	semidirect
145. #89501	C₂²	semidirect
146. #89501	C₂²	semidirect
147. #89500	C₂²	semidirect
148. #89500	C₂²	semidirect
149. #89500	C₂²	semidirect
150. #89500	C₂²	semidirect
159. #89499	C₂²	semidirect
160. #89499	C₂²	semidirect
161. #89499	C₂²	semidirect
162. #89499	C₂²	semidirect
163. #89499	C₂²	semidirect
164. #89499	C₂²	semidirect
165. #89499	C₂²	semidirect
166. #89499	C₂²	semidirect
169. #89498	C₂²	semidirect
170. #89498	C₂²	semidirect
171. #89498	C₂²	semidirect
172. #89498	C₂²	semidirect
173. (C₂²⋊D₇)⋊C₈	C₂²	semidirect
174. (C₂²⋊D₇)⋊C₈	C₂²	semidirect
175. (C₂²⋊D₇)⋊C₈	C₂²	semidirect
176. (C₂²⋊D₇)⋊C₈	C₂²	semidirect
179. D₇×C₂²⋊C₈	C₂²	semidirect
180. D₇×C₂²⋊C₈	C₂²	semidirect
181. D₇×C₂²⋊C₈	C₂²	semidirect
182. D₇×C₂²⋊C₈	C₂²	semidirect
183. #89491	C₂²	semidirect
184. #89491	C₂²	semidirect
185. #89490	C₂²	semidirect
186. #89490	C₂²	semidirect
187. #89481	C₂²	semidirect
188. #89481	C₂²	semidirect
189. #89480	C₂²	semidirect
190. #89480	C₂²	semidirect
191. #89478	C₂²	semidirect
192. #89478	C₂²	semidirect
193. #89478	C₂²	semidirect
194. #89478	C₂²	semidirect
195. #89462	C₂²	semidirect
196. #89462	C₂²	semidirect
197. #89461	C₂²	semidirect
198. #89461	C₂²	semidirect
199. #89460	C₂²	semidirect
200. #89460	C₂²	semidirect
201. C₈×D₂₈	C₂²	semidirect
202. C₈×D₂₈	C₂²	semidirect
495. #2981	D₇	semidirect
828. #436	C₂×D₇	semidirect
829. #436	C₂×D₇	semidirect
858. #435	C₂×D₇	semidirect
859. #435	C₂×D₇	semidirect
860. #435	C₂×D₇	semidirect
861. #435	C₂×D₇	semidirect
876. C₈×D₄	C₂×D₇	semidirect
877. C₈×D₄	C₂×D₇	semidirect
889. #432	C₂×D₇	semidirect
893. #431	C₂×D₇	semidirect
922. #408	C₂×D₇	semidirect
923. #408	C₂×D₇	semidirect
924. #408	C₂×D₇	semidirect
925. #408	C₂×D₇	semidirect
1862. C₇	#60235	semidirect

Maximal subgroups

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

subgroup	index
#11743303	2
C₇×#2981	2
#11740725	2
#11736990	2
#11736989	2
#11736984	2
#11736982	2
#11736935	2
#11736934	2
#11736933	2
#11736932	2
#11736927	2
#11736926	2
#11736924	2
#11736923	2
#11736874	2
#11736873	2
#11736868	2
#11736866	2
#11736782	2
#11736778	2
#11736734	2
#11736729	2
#11736114	2
#11736113	2
#11736112	2
#11736108	2
#11736107	2
D₇×#408	2
#60235	7