Subgroups — C₇×#61472 #13238688

Order 1792.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3516	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3513	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3394	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3381	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3371	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3337	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3337	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3335	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3326	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3323	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3318	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3314	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3312	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3308	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3282	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3282	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×D₄×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3174	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3173	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3168	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3121	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#3120	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#3119	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#3118	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#3117	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#3114	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#2966	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇×#2952	C₂	1	1	yes	maximal, characteristic, complemented
30	C₇×#2949	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×C₇×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×#135	C₂²	1	1	yes	characteristic
33	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
34	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
35	C₇×#559	C₂²	1	1	yes	characteristic
36	C₇×#557	C₂²	1	1	yes	characteristic, complemented
37	C₇×#556	—	2	1	no	—
38	C₇×#556	C₂²	1	1	yes	characteristic, complemented
39	C₇×#554	—	2	1	no	—
40	C₇×#554	C₂²	1	1	yes	characteristic
41	C₇×#554	C₂²	1	1	yes	characteristic, complemented
42	C₇×#553	—	2	1	no	—
43	C₇×#553	—	2	1	no	—
44	C₇×#553	C₂²	1	1	yes	characteristic
45	C₇×#553	C₂²	1	1	yes	characteristic
46	C₇×#552	—	2	1	no	—
47	C₇×#552	C₂²	1	1	yes	characteristic
48	C₇×#552	C₂²	1	1	yes	characteristic, complemented
49	C₇×#551	—	2	1	no	—
50	C₇×#551	—	2	1	no	—
51	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic
52	C₇×#548	C₂²	1	1	yes	characteristic, complemented
53	C₇×#548	C₂²	1	1	yes	characteristic, complemented
54	C₇×#547	C₂²	1	1	yes	characteristic
55	C₇×#546	—	2	1	no	—
56	C₇×#546	C₂²	1	1	yes	characteristic
57	C₇×#546	C₂²	1	1	yes	characteristic
58	C₇×D₄²	C₂²	1	1	yes	characteristic
59	C₇×#542	—	2	1	no	—
60	C₇×#542	C₂²	1	1	yes	characteristic
61	C₇×#542	C₂²	1	1	yes	characteristic, complemented
62	C₇×#541	—	2	1	no	—
63	C₇×#541	C₂²	1	1	yes	characteristic, complemented
64	C₇×#540	C₂²	1	1	yes	characteristic
65	C₇×#539	—	2	1	no	—
66	C₇×#538	—	2	1	no	—
67	C₇×#529	—	2	1	no	—
68	C₇×#529	—	2	1	no	—
69	C₇×#529	C₂²	1	1	yes	characteristic
70	C₇×#529	C₂²	1	1	yes	characteristic
71	C₇×#529	C₂²	1	1	yes	characteristic, complemented
72	C₇×#525	—	2	1	no	—
73	C₂×C₇×#123	—	2	1	no	—
74	C₇×#520	C₂²	1	1	yes	characteristic
75	C₇×#520	C₂²	1	1	yes	characteristic, complemented
76	C₇×#519	C₂²	1	1	yes	characteristic, complemented
77	C₇×#518	C₂²	1	1	yes	characteristic
78	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
80	C₇×#499	C₂²	1	1	yes	characteristic, complemented
81	C₇×#499	C₂²	1	1	yes	characteristic, complemented
82	C₇×#498	C₂²	1	1	yes	characteristic, complemented
83	C₇×#495	C₂²	1	1	yes	characteristic, complemented
84	C₇×#495	C₂²	1	1	yes	characteristic, complemented
85	C₇×#492	C₂²	1	1	yes	characteristic
86	C₇×#491	C₂²	1	1	yes	characteristic, complemented
87	C₇×#490	C₂²	1	1	yes	characteristic
88	C₇×#489	C₂²	1	1	yes	characteristic, complemented
89	C₇×#489	C₂²	1	1	yes	characteristic, complemented
90	C₇×#488	C₂²	1	1	yes	characteristic, complemented
91	C₇×#488	C₂²	1	1	yes	characteristic, complemented
92	C₇×#485	C₂²	1	1	yes	characteristic, complemented
93	C₇×#485	C₂²	1	1	yes	characteristic, complemented
94	C₇×#484	C₂²	1	1	yes	characteristic, complemented
95	C₇×#484	C₂²	1	1	yes	characteristic, complemented
96	C₇×#483	C₂²	1	1	yes	characteristic, complemented
97	C₇×#483	C₂²	1	1	yes	characteristic, complemented
98	C₇×#482	C₂²	1	1	yes	characteristic
99	C₇×#482	C₂²	1	1	yes	characteristic, complemented
100	C₇×#481	C₂²	1	1	yes	characteristic
101	C₇×#481	C₂²	1	1	yes	characteristic, complemented
102	C₇×#480	C₂²	1	1	yes	characteristic, complemented
103	C₇×#480	C₂²	1	1	yes	characteristic, complemented
104	C₇×#479	C₂²	1	1	yes	characteristic, complemented
105	C₇×#479	C₂²	1	1	yes	characteristic, complemented
106	C₇×#479	C₂²	1	1	yes	characteristic, complemented
107	C₇×#479	C₂²	1	1	yes	characteristic, complemented
108	C₇×#478	C₂²	1	1	yes	characteristic
109	C₇×#478	C₂²	1	1	yes	characteristic
110	C₇×#478	C₂²	1	1	yes	characteristic, complemented
111	C₇×#478	C₂²	1	1	yes	characteristic, complemented
112	C₇×#477	C₂²	1	1	yes	characteristic, complemented
113	C₇×#476	C₂²	1	1	yes	characteristic, complemented
114	C₇×#475	C₂²	1	1	yes	characteristic, complemented
115	C₇×#474	C₂²	1	1	yes	characteristic
116	C₇×#470	C₂²	1	1	yes	characteristic, complemented
117	C₇×#469	C₂²	1	1	yes	characteristic
118	C₇×#468	C₂²	1	1	yes	characteristic, complemented
119	C₇×#468	C₂²	1	1	yes	characteristic, complemented
120	C₇×#467	C₂²	1	1	yes	characteristic, complemented
121	C₇×#466	C₂²	1	1	yes	characteristic
122	C₇×#465	C₂²	1	1	yes	characteristic
123	C₇×#465	C₂²	1	1	yes	characteristic
124	C₇×#465	C₂²	1	1	yes	characteristic, complemented
125	C₇×#465	C₂²	1	1	yes	characteristic, complemented
126	C₇×#465	C₂²	1	1	yes	characteristic, complemented
127	C₇×#465	C₂²	1	1	yes	characteristic, complemented
128	C₇×#464	C₂²	1	1	yes	characteristic, complemented
129	C₇×#464	C₂²	1	1	yes	characteristic, complemented
130	C₇×#464	C₂²	1	1	yes	characteristic, complemented
131	C₇×#464	C₂²	1	1	yes	characteristic, complemented
132	C₇×#463	C₂²	1	1	yes	characteristic
133	C₇×#463	C₂²	1	1	yes	characteristic
134	C₇×#463	C₂²	1	1	yes	characteristic, complemented
135	C₇×#463	C₂²	1	1	yes	characteristic, complemented
136	C₇×#462	C₂²	1	1	yes	characteristic, complemented
137	C₇×#461	C₂²	1	1	yes	characteristic
138	C₇×#460	C₂²	1	1	yes	characteristic
139	C₇×#459	C₂²	1	1	yes	characteristic
140	C₇×#452	C₂²	1	1	yes	characteristic
141	C₇×#452	C₂²	1	1	yes	characteristic
142	C₇×#451	C₂²	1	1	yes	characteristic, complemented
143	C₇×#451	C₂²	1	1	yes	characteristic, complemented
144	C₇×#450	C₂²	1	1	yes	characteristic
145	C₇×#450	C₂²	1	1	yes	characteristic
146	C₇×#449	C₂²	1	1	yes	characteristic, complemented
147	C₇×#449	C₂²	1	1	yes	characteristic, complemented
148	C₇×#448	C₂²	1	1	yes	characteristic
149	C₇×#448	C₂²	1	1	yes	characteristic
150	C₇×#447	C₂²	1	1	yes	characteristic
151	C₇×#447	C₂²	1	1	yes	characteristic
152	C₇×#446	C₂²	1	1	yes	characteristic, complemented
153	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
154	C₇×#442	C₂²	1	1	yes	characteristic
155	C₇×#442	C₂²	1	1	yes	characteristic
156	C₇×#442	C₂²	1	1	yes	characteristic, complemented
157	C₇×#441	C₂²	1	1	yes	characteristic, complemented
158	C₇×#441	C₂²	1	1	yes	characteristic, complemented
159	C₇×#441	C₂²	1	1	yes	characteristic, complemented
160	C₇×#440	C₂²	1	1	yes	characteristic
161	C₇×#440	C₂²	1	1	yes	characteristic
162	C₇×#440	C₂²	1	1	yes	characteristic, complemented
163	C₇×#440	C₂²	1	1	yes	characteristic, complemented
164	C₇×#440	C₂²	1	1	yes	characteristic, complemented
165	C₇×#440	C₂²	1	1	yes	characteristic, complemented
166	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic, complemented
167	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
168	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
169	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
170	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
171	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
172	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
173	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
174	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₇×D₈	C₂²	1	1	yes	characteristic, complemented
182	C₇×#436	C₂²	1	1	yes	characteristic, complemented
183	C₇×#435	C₂²	1	1	yes	characteristic
184	C₇×#435	C₂²	1	1	yes	characteristic, complemented
185	C₇×C₈×D₄	C₂²	1	1	yes	characteristic
186	C₇×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
187	C₇×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
188	C₇×#433	C₂²	1	1	yes	characteristic, complemented
189	C₇×#433	C₂²	1	1	yes	characteristic, complemented
190	C₇×#432	C₂²	1	1	yes	characteristic, complemented
191	C₇×#427	C₂²	1	1	yes	characteristic, complemented
192	C₂×C₇×#106	C₂²	1	1	yes	characteristic, complemented
193	C₂×C₇×#106	C₂²	1	1	yes	characteristic, complemented
194	C₇×#419	C₂²	1	1	yes	characteristic, complemented
195	C₇×#418	C₂²	1	1	yes	characteristic
196	C₇×#417	C₂²	1	1	yes	characteristic
197	C₇×#417	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₇×#103	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₇×#102	C₂²	1	1	yes	characteristic
200	C₇×#405	C₂²	1	1	yes	characteristic, complemented
201	C₇×#405	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×C₇×C₈	C₂²	1	1	yes	characteristic, complemented
203	#61472	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
204	C₂×C₇×#41	—	2	1	no	—
205	C₂×C₇×#41	C₂³	1	1	yes	characteristic
206	C₂×C₇×#41	C₂³	1	1	yes	characteristic
207	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
208	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
209	C₂²×C₇×D₄	—	2	1	no	—
210	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
211	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₇	—	2	1	no	—
213	C₇×#135	—	2	4	no	—
214	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₇×SD₁₆	—	2	4	no	—
218	C₂×C₇×SD₁₆	—	2	4	no	—
219	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
229	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
230	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
231	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
232	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
234	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
235	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
236	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
237	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
238	C₇×C₄⋊Q₈	—	2	1	no	—
239	C₇×C₄⋊Q₈	—	2	1	no	—
240	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
242	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₇×#127	C₂³	1	1	yes	characteristic
244	C₇×#126	—	2	1	no	—
245	C₇×#126	—	2	1	no	—
246	C₇×#126	—	2	1	no	—
247	C₇×#126	—	2	1	no	—
248	C₇×#126	—	2	1	no	—
249	C₇×#126	—	2	1	no	—
250	C₇×#126	—	2	1	no	—
251	C₇×#126	—	2	1	no	—
252	C₇×#126	—	2	1	no	—
253	C₇×#126	—	2	1	no	—
254	C₇×#126	—	2	1	no	—
255	C₇×#126	—	2	1	no	—
256	C₇×#126	D₄	1	1	yes	characteristic
257	C₇×#126	D₄	1	1	yes	characteristic
258	C₇×#125	—	2	1	no	—
259	C₇×#125	—	2	1	no	—
260	C₇×#125	—	2	1	no	—
261	C₇×#125	—	2	1	no	—
262	C₇×#125	—	2	1	no	—
263	C₇×#125	—	2	1	no	—
264	C₇×#125	—	2	1	no	—
265	C₇×#125	D₄	1	1	yes	characteristic
266	C₇×#125	C₂³	1	1	yes	characteristic
267	C₇×#125	C₂³	1	1	yes	characteristic
268	C₇×#125	C₂³	1	1	yes	characteristic
269	C₇×#125	C₂³	1	1	yes	characteristic
270	C₇×#124	—	2	1	no	—
271	C₇×#124	—	2	1	no	—
272	C₇×#124	—	2	1	no	—
273	C₇×#124	—	2	1	no	—
274	C₇×#124	—	2	1	no	—
275	C₇×#124	D₄	1	1	yes	characteristic
276	C₇×#124	C₂³	1	1	yes	characteristic
277	C₇×#124	C₂³	1	1	yes	characteristic
278	C₇×#124	C₂³	1	1	yes	characteristic
279	C₇×#124	C₂³	1	1	yes	characteristic
280	C₇×#123	—	2	1	no	—
281	C₇×#123	—	2	1	no	—
282	C₇×#123	—	2	1	no	—
283	C₇×#123	—	2	1	no	—
284	C₇×#123	—	2	1	no	—
285	C₇×#123	—	2	1	no	—
286	C₇×#123	—	2	1	no	—
287	C₇×#123	—	2	1	no	—
288	C₇×#123	—	2	1	no	—
289	C₇×#123	—	2	1	no	—
290	C₇×#123	—	2	1	no	—
291	C₇×#123	—	2	1	no	—
292	C₇×#123	—	2	1	no	—
293	C₇×#123	—	2	1	no	—
294	C₇×#123	—	2	1	no	—
295	C₇×#123	—	2	1	no	—
296	C₇×#123	D₄	1	1	yes	characteristic
297	C₇×#123	D₄	1	1	yes	characteristic
298	C₇×C₂²⋊Q₈	—	2	1	no	—
299	C₇×C₂²⋊Q₈	—	2	1	no	—
300	C₇×C₂²⋊Q₈	—	2	1	no	—
301	C₇×C₂²⋊Q₈	—	2	1	no	—
302	C₇×C₂²⋊Q₈	—	2	1	no	—
303	C₇×C₂²⋊Q₈	—	2	1	no	—
304	C₇×C₂²⋊Q₈	—	2	1	no	—
305	C₇×C₂²⋊Q₈	—	2	1	no	—
306	C₇×C₂²⋊Q₈	—	2	1	no	—
307	C₇×C₂²⋊Q₈	—	2	1	no	—
308	C₇×C₂²⋊Q₈	—	2	1	no	—
309	C₇×C₂²⋊Q₈	—	2	1	no	—
310	C₇×C₂²⋊Q₈	—	2	1	no	—
311	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
312	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
313	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
314	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
315	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
316	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
317	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
318	C₇×#121	—	2	1	no	—
319	C₇×#121	—	2	1	no	—
320	C₇×#121	—	2	1	no	—
321	C₇×#121	—	2	1	no	—
322	C₇×#121	—	2	1	no	—
323	C₇×#121	—	2	1	no	—
324	C₇×#121	—	2	1	no	—
325	C₇×#121	—	2	1	no	—
326	C₇×#121	—	2	1	no	—
327	C₇×#121	D₄	1	1	yes	characteristic
328	C₇×#121	C₂³	1	1	yes	characteristic
329	C₇×#121	C₂³	1	1	yes	characteristic
330	C₇×#121	C₂³	1	1	yes	characteristic
331	C₇×#121	C₂³	1	1	yes	characteristic
332	C₇×#121	C₂³	1	1	yes	characteristic
333	C₇×#121	C₂³	1	1	yes	characteristic
334	C₇×#120	—	2	1	no	—
335	C₇×#120	—	2	1	no	—
336	C₇×#120	—	2	1	no	—
337	C₇×#120	—	2	1	no	—
338	C₄×C₇×Q₈	—	2	1	no	—
339	C₄×C₇×Q₈	—	2	1	no	—
340	C₄×C₇×Q₈	—	2	1	no	—
341	C₄×C₇×Q₈	—	2	1	no	—
342	C₄×C₇×Q₈	—	2	1	no	—
343	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
344	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
345	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
346	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
347	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
348	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
349	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
350	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
351	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
352	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
353	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
354	C₄×C₇×D₄	—	2	1	no	—
355	C₄×C₇×D₄	—	2	1	no	—
356	C₄×C₇×D₄	—	2	1	no	—
357	C₄×C₇×D₄	—	2	1	no	—
358	C₄×C₇×D₄	—	2	1	no	—
359	C₄×C₇×D₄	—	2	1	no	—
360	C₄×C₇×D₄	—	2	1	no	—
361	C₄×C₇×D₄	—	2	1	no	—
362	C₄×C₇×D₄	—	2	1	no	—
363	C₄×C₇×D₄	—	2	1	no	—
364	C₄×C₇×D₄	—	2	1	no	—
365	C₄×C₇×D₄	—	2	1	no	—
366	C₄×C₇×D₄	—	2	1	no	—
367	C₄×C₇×D₄	—	2	1	no	—
368	C₄×C₇×D₄	—	2	1	no	—
369	C₄×C₇×D₄	—	2	1	no	—
370	C₄×C₇×D₄	—	2	1	no	—
371	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
372	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
373	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
374	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
375	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
376	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
377	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
378	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
379	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
380	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
381	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
382	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
383	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
384	C₇×#117	—	2	1	no	—
385	C₇×#117	—	2	1	no	—
386	C₇×#117	—	2	1	no	—
387	C₇×#117	—	2	1	no	—
388	C₇×#117	—	2	1	no	—
389	C₇×#117	—	2	1	no	—
390	C₇×#117	—	2	1	no	—
391	C₇×#117	—	2	1	no	—
392	C₇×#117	—	2	1	no	—
393	C₇×#117	C₂³	1	1	yes	characteristic
394	C₇×#117	C₂³	1	1	yes	characteristic
395	C₇×#117	C₂³	1	1	yes	characteristic
396	C₇×#117	C₂³	1	1	yes	characteristic
397	C₂×C₇×C₄⋊C₄	—	2	1	no	—
398	C₂×C₇×C₄⋊C₄	—	2	1	no	—
399	C₂×C₇×C₄⋊C₄	—	2	1	no	—
400	C₂×C₇×C₄⋊C₄	—	2	1	no	—
401	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
402	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
403	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
404	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
405	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
406	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
407	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
408	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
409	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
410	C₂×C₄²×C₇	—	2	1	no	—
411	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
412	C₇×#107	C₂³	1	1	yes	characteristic
413	C₇×#107	C₂³	1	1	yes	characteristic
414	C₇×#107	C₂³	1	1	yes	characteristic
415	C₇×#107	C₂³	1	1	yes	characteristic
416	C₇×#107	C₂³	1	1	yes	characteristic
417	C₇×#107	C₂³	1	1	yes	characteristic
418	C₇×#106	C₂³	1	1	yes	characteristic
419	C₇×#106	C₂³	1	1	yes	characteristic
420	C₇×#106	C₂³	1	1	yes	characteristic
421	C₇×#106	C₂³	1	1	yes	characteristic
422	C₇×#106	C₂³	1	1	yes	characteristic
423	C₇×#106	C₂³	1	1	yes	characteristic
424	C₇×#106	C₂³	1	1	yes	characteristic
425	C₇×#106	C₂³	1	1	yes	characteristic
426	C₇×#106	C₂³	1	1	yes	characteristic
427	C₇×#106	C₂³	1	1	yes	characteristic
428	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₇×#103	C₂³	1	1	yes	characteristic
435	C₇×#103	C₂³	1	1	yes	characteristic
436	C₇×#103	C₂³	1	1	yes	characteristic
437	C₇×#103	C₂³	1	1	yes	characteristic
438	C₇×#103	C₂³	1	1	yes	characteristic
439	C₇×#103	C₂³	1	1	yes	characteristic
440	C₇×#103	C₂³	1	1	yes	characteristic
441	C₇×#103	C₂³	1	1	yes	characteristic
442	C₇×#103	C₂³	1	1	yes	characteristic
443	C₇×#103	C₂³	1	1	yes	characteristic
444	C₇×#103	C₂³	1	1	yes	characteristic
445	C₇×#103	C₂³	1	1	yes	characteristic
446	C₇×#103	C₂³	1	1	yes	characteristic
447	C₇×#103	C₂³	1	1	yes	characteristic
448	C₇×#103	C₂³	1	1	yes	characteristic
449	C₇×#103	C₂³	1	1	yes	characteristic
450	C₇×#102	C₂³	1	1	yes	characteristic
451	C₇×#102	C₂³	1	1	yes	characteristic
452	C₇×#102	C₂³	1	1	yes	characteristic
453	C₇×#102	C₂³	1	1	yes	characteristic
454	C₇×#102	C₂³	1	1	yes	characteristic
455	C₇×#102	C₂³	1	1	yes	characteristic
456	C₇×#102	C₂³	1	1	yes	characteristic
457	C₇×#102	C₂³	1	1	yes	characteristic
458	C₇×#102	C₂³	1	1	yes	characteristic
459	C₇×#102	C₂³	1	1	yes	characteristic
460	C₇×#102	C₂³	1	1	yes	characteristic
461	C₇×#102	C₂³	1	1	yes	characteristic
462	C₇×#102	C₂³	1	1	yes	characteristic
463	C₇×#102	C₂³	1	1	yes	characteristic
464	C₇×#102	C₂³	1	1	yes	characteristic
465	C₇×#102	C₂³	1	1	yes	characteristic
466	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
472	C₇×#97	C₂³	1	1	yes	characteristic
473	C₇×#97	C₂³	1	1	yes	characteristic
474	C₇×#97	C₂³	1	1	yes	characteristic
475	C₇×#97	C₂³	1	1	yes	characteristic
476	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
477	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
478	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
479	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
480	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
481	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
482	#3516	C₂×C₇	1	1	yes	characteristic, complemented
483	#3513	C₂×C₇	1	1	yes	characteristic, complemented
484	#3394	C₂×C₇	1	1	yes	characteristic, complemented
485	#3381	C₂×C₇	1	1	yes	characteristic, complemented
486	#3376	C₂×C₇	1	1	yes	characteristic, complemented
487	#3371	C₂×C₇	1	1	yes	characteristic, complemented
488	#3337	C₂×C₇	1	1	yes	characteristic, complemented
489	#3337	C₂×C₇	1	1	yes	characteristic, complemented
490	#3335	C₂×C₇	1	1	yes	characteristic, complemented
491	#3326	C₂×C₇	1	1	yes	characteristic, complemented
492	#3323	C₂×C₇	1	1	yes	characteristic, complemented
493	#3318	C₂×C₇	1	1	yes	characteristic, complemented
494	#3314	C₂×C₇	1	1	yes	characteristic, complemented
495	#3312	C₂×C₇	1	1	yes	characteristic, complemented
496	#3308	C₂×C₇	1	1	yes	characteristic, complemented
497	#3282	C₂×C₇	1	1	yes	characteristic, complemented
498	#3282	C₂×C₇	1	1	yes	characteristic, complemented
499	D₄×SD₁₆	C₂×C₇	1	1	yes	characteristic, complemented
500	#3174	C₂×C₇	1	1	yes	characteristic, complemented
501	#3173	C₂×C₇	1	1	yes	characteristic, complemented
502	#3168	C₂×C₇	1	1	yes	characteristic, complemented
503	#3121	C₂×C₇	1	1	yes	characteristic, complemented
504	#3120	C₂×C₇	1	1	yes	characteristic, complemented
505	#3119	C₂×C₇	1	1	yes	characteristic, complemented
506	#3118	C₂×C₇	1	1	yes	characteristic, complemented
507	#3117	C₂×C₇	1	1	yes	characteristic, complemented
508	#3114	C₂×C₇	1	1	yes	characteristic, complemented
509	#2966	C₂×C₇	1	1	yes	characteristic, complemented
510	#2952	C₂×C₇	1	1	yes	characteristic, complemented
511	#2949	C₂×C₇	1	1	yes	characteristic, complemented
512	C₂×C₄×SD₁₆	C₂×C₇	1	1	yes	characteristic, complemented
513	C₂⁴×C₇	—	2	1	no	—
514	C₂⁴×C₇	—	2	1	no	—
515	C₇×#41	—	2	2	no	—
516	C₇×#41	—	2	2	no	—
517	C₇×#41	—	4	1	no	—
518	C₇×#41	—	4	1	no	—
519	C₇×#41	—	8	2	no	—
520	C₂×C₇×Q₈	—	2	1	no	—
521	C₂×C₇×Q₈	—	2	1	no	—
522	C₂×C₇×Q₈	—	2	1	no	—
523	C₂×C₇×Q₈	—	2	1	no	—
524	C₂×C₇×Q₈	—	2	2	no	—
525	C₂×C₇×Q₈	—	2	2	no	—
526	C₂×C₇×Q₈	—	4	1	no	—
527	C₂×C₇×Q₈	—	4	1	no	—
528	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
529	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
530	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
531	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
532	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
533	C₂×C₇×D₄	—	2	2	no	—
534	C₂×C₇×D₄	—	2	2	no	—
535	C₂×C₇×D₄	—	2	1	no	—
536	C₂×C₇×D₄	—	2	1	no	—
537	C₂×C₇×D₄	—	2	1	no	—
538	C₂×C₇×D₄	—	2	1	no	—
539	C₂×C₇×D₄	—	2	1	no	—
540	C₂×C₇×D₄	—	2	1	no	—
541	C₂×C₇×D₄	—	2	1	no	—
542	C₂×C₇×D₄	—	2	1	no	—
543	C₂×C₇×D₄	—	2	1	no	—
544	C₂×C₇×D₄	—	2	1	no	—
545	C₂×C₇×D₄	—	2	1	no	—
546	C₂×C₇×D₄	—	2	1	no	—
547	C₂×C₇×D₄	—	4	1	no	—
548	C₂×C₇×D₄	—	4	1	no	—
549	C₂×C₇×D₄	—	8	2	no	—
550	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
551	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
552	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
553	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
554	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
555	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
556	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₇	—	2	1	no	—
558	C₂²×C₄×C₇	—	2	1	no	—
559	C₂²×C₄×C₇	—	2	1	no	—
560	C₂²×C₄×C₇	—	2	1	no	—
561	C₂²×C₄×C₇	—	2	1	no	—
562	C₂²×C₄×C₇	—	2	1	no	—
563	C₂²×C₄×C₇	—	2	1	no	—
564	C₂²×C₄×C₇	—	2	1	no	—
565	C₂²×C₄×C₇	—	2	1	no	—
566	C₂²×C₄×C₇	—	2	1	no	—
567	C₂²×C₄×C₇	—	2	1	no	—
568	C₂²×C₄×C₇	—	2	1	no	—
569	C₂²×C₄×C₇	—	2	1	no	—
570	C₂²×C₄×C₇	—	2	1	no	—
571	C₂²×C₄×C₇	—	2	1	no	—
572	C₂²×C₄×C₇	—	2	1	no	—
573	C₂²×C₄×C₇	—	2	1	no	—
574	C₂²×C₄×C₇	—	2	1	no	—
575	C₂²×C₄×C₇	—	8	2	no	—
576	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
577	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
578	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
579	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
581	C₇×Q₁₆	—	2	2	no	—
582	C₇×Q₁₆	—	4	1	no	—
583	C₇×Q₁₆	—	4	1	no	—
584	C₇×SD₁₆	—	2	2	no	—
585	C₇×SD₁₆	—	2	2	no	—
586	C₇×SD₁₆	—	2	2	no	—
587	C₇×SD₁₆	—	2	2	no	—
588	C₇×SD₁₆	—	2	2	no	—
589	C₇×SD₁₆	—	2	2	no	—
590	C₇×SD₁₆	—	2	2	no	—
591	C₇×SD₁₆	—	4	1	no	—
592	C₇×SD₁₆	—	4	1	no	—
593	C₇×SD₁₆	#41	1	4	yes	complemented
594	C₇×D₈	—	2	2	no	—
595	C₇×D₈	—	4	1	no	—
596	C₇×D₈	—	4	1	no	—
597	C₇×M₁₆	—	4	1	no	—
598	C₇×M₁₆	—	4	1	no	—
599	C₂×C₇×C₈	—	2	2	no	—
600	C₂×C₇×C₈	—	2	2	no	—
601	C₂×C₇×C₈	—	2	2	no	—
602	C₂×C₇×C₈	—	4	1	no	—
603	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
604	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
605	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
606	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
607	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
608	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
609	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
610	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
611	C₇×C₄⋊C₄	—	2	1	no	—
612	C₇×C₄⋊C₄	—	2	1	no	—
613	C₇×C₄⋊C₄	—	2	1	no	—
614	C₇×C₄⋊C₄	—	2	1	no	—
615	C₇×C₄⋊C₄	—	2	1	no	—
616	C₇×C₄⋊C₄	—	2	1	no	—
617	C₇×C₄⋊C₄	—	2	1	no	—
618	C₇×C₄⋊C₄	—	2	1	no	—
619	C₇×C₄⋊C₄	—	2	1	no	—
620	C₇×C₄⋊C₄	—	2	1	no	—
621	C₇×C₄⋊C₄	—	2	1	no	—
622	C₇×C₄⋊C₄	—	2	1	no	—
623	C₇×C₄⋊C₄	—	2	1	no	—
624	C₇×C₄⋊C₄	—	2	1	no	—
625	C₇×C₄⋊C₄	—	2	1	no	—
626	C₇×C₄⋊C₄	—	2	1	no	—
627	C₇×C₄⋊C₄	—	2	1	no	—
628	C₇×C₄⋊C₄	—	2	1	no	—
629	C₇×C₄⋊C₄	—	2	1	no	—
630	C₇×C₄⋊C₄	—	2	1	no	—
631	C₇×C₄⋊C₄	—	2	1	no	—
632	C₇×C₄⋊C₄	—	2	1	no	—
633	C₇×C₄⋊C₄	—	2	1	no	—
634	C₇×C₄⋊C₄	—	2	1	no	—
635	C₇×C₄⋊C₄	—	2	1	no	—
636	C₇×C₄⋊C₄	—	2	1	no	—
637	C₇×C₄⋊C₄	—	2	1	no	—
638	C₇×C₄⋊C₄	—	2	1	no	—
639	C₇×C₄⋊C₄	—	2	1	no	—
640	C₇×C₄⋊C₄	—	2	1	no	—
641	C₇×C₄⋊C₄	—	2	1	no	—
642	C₇×C₄⋊C₄	—	2	1	no	—
643	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
645	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
646	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
647	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
648	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
649	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
650	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
651	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
654	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
655	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
657	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
658	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
659	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
660	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
661	C₇×C₂²⋊C₄	—	2	1	no	—
662	C₇×C₂²⋊C₄	—	2	1	no	—
663	C₇×C₂²⋊C₄	—	2	1	no	—
664	C₇×C₂²⋊C₄	—	2	1	no	—
665	C₇×C₂²⋊C₄	—	2	1	no	—
666	C₇×C₂²⋊C₄	—	2	1	no	—
667	C₇×C₂²⋊C₄	—	2	1	no	—
668	C₇×C₂²⋊C₄	—	2	1	no	—
669	C₇×C₂²⋊C₄	—	2	1	no	—
670	C₇×C₂²⋊C₄	—	2	1	no	—
671	C₇×C₂²⋊C₄	—	2	1	no	—
672	C₇×C₂²⋊C₄	—	2	1	no	—
673	C₇×C₂²⋊C₄	—	2	1	no	—
674	C₇×C₂²⋊C₄	—	2	1	no	—
675	C₇×C₂²⋊C₄	—	2	1	no	—
676	C₇×C₂²⋊C₄	—	2	1	no	—
677	C₇×C₂²⋊C₄	—	2	1	no	—
678	C₇×C₂²⋊C₄	—	2	1	no	—
679	C₇×C₂²⋊C₄	—	2	1	no	—
680	C₇×C₂²⋊C₄	—	2	1	no	—
681	C₇×C₂²⋊C₄	—	2	1	no	—
682	C₇×C₂²⋊C₄	—	2	1	no	—
683	C₇×C₂²⋊C₄	—	2	1	no	—
684	C₇×C₂²⋊C₄	—	2	1	no	—
685	C₇×C₂²⋊C₄	—	2	1	no	—
686	C₇×C₂²⋊C₄	—	2	1	no	—
687	C₇×C₂²⋊C₄	—	2	1	no	—
688	C₇×C₂²⋊C₄	—	2	1	no	—
689	C₇×C₂²⋊C₄	—	2	1	no	—
690	C₇×C₂²⋊C₄	—	2	1	no	—
691	C₇×C₂²⋊C₄	—	2	1	no	—
692	C₇×C₂²⋊C₄	—	2	1	no	—
693	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
694	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
695	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
696	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
697	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
698	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
699	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
700	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
701	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
702	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
703	C₄²×C₇	—	2	1	no	—
704	C₄²×C₇	—	2	1	no	—
705	C₄²×C₇	—	2	1	no	—
706	C₄²×C₇	—	2	1	no	—
707	C₄²×C₇	—	2	1	no	—
708	C₄²×C₇	—	2	1	no	—
709	C₄²×C₇	—	2	1	no	—
710	C₄²×C₇	—	2	1	no	—
711	C₄²×C₇	—	2	1	no	—
712	C₄²×C₇	—	2	1	no	—
713	C₄²×C₇	—	2	1	no	—
714	C₄²×C₇	—	2	1	no	—
715	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
716	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
717	C₄²×C₇	C₂⁴	1	1	yes	characteristic
718	C₄²×C₇	C₂⁴	1	1	yes	characteristic
719	C₄²×C₇	C₂⁴	1	1	yes	characteristic
720	C₄²×C₇	C₂⁴	1	1	yes	characteristic
721	C₂×#135	C₂²×C₇	1	1	yes	characteristic
722	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
723	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
724	#559	C₂²×C₇	1	1	yes	characteristic
725	#557	C₂²×C₇	1	1	yes	characteristic, complemented
726	#556	—	2	1	no	—
727	#556	C₂²×C₇	1	1	yes	characteristic, complemented
728	#554	—	2	1	no	—
729	#554	C₂²×C₇	1	1	yes	characteristic
730	#554	C₂²×C₇	1	1	yes	characteristic, complemented
731	#553	—	2	1	no	—
732	#553	—	2	1	no	—
733	#553	C₂²×C₇	1	1	yes	characteristic
734	#553	C₂²×C₇	1	1	yes	characteristic
735	#552	—	2	1	no	—
736	#552	C₂²×C₇	1	1	yes	characteristic
737	#552	C₂²×C₇	1	1	yes	characteristic, complemented
738	#551	—	2	1	no	—
739	#551	—	2	1	no	—
740	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic
741	#548	C₂²×C₇	1	1	yes	characteristic, complemented
742	#548	C₂²×C₇	1	1	yes	characteristic, complemented
743	#547	C₂²×C₇	1	1	yes	characteristic
744	#546	—	2	1	no	—
745	#546	C₂²×C₇	1	1	yes	characteristic
746	#546	C₂²×C₇	1	1	yes	characteristic
747	D₄²	C₂²×C₇	1	1	yes	characteristic
748	#542	—	2	1	no	—
749	#542	C₂²×C₇	1	1	yes	characteristic
750	#542	C₂²×C₇	1	1	yes	characteristic, complemented
751	#541	—	2	1	no	—
752	#541	C₂²×C₇	1	1	yes	characteristic, complemented
753	#540	C₂²×C₇	1	1	yes	characteristic
754	#539	—	2	1	no	—
755	#538	—	2	1	no	—
756	#529	—	2	1	no	—
757	#529	—	2	1	no	—
758	#529	C₂²×C₇	1	1	yes	characteristic
759	#529	C₂²×C₇	1	1	yes	characteristic
760	#529	C₂²×C₇	1	1	yes	characteristic, complemented
761	#525	—	2	1	no	—
762	C₂×#123	—	2	1	no	—
763	#520	C₂²×C₇	1	1	yes	characteristic
764	#520	C₂²×C₇	1	1	yes	characteristic, complemented
765	#519	C₂²×C₇	1	1	yes	characteristic, complemented
766	#518	C₂²×C₇	1	1	yes	characteristic
767	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
768	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
769	#499	C₂²×C₇	1	1	yes	characteristic, complemented
770	#499	C₂²×C₇	1	1	yes	characteristic, complemented
771	#498	C₂²×C₇	1	1	yes	characteristic, complemented
772	#495	C₂²×C₇	1	1	yes	characteristic, complemented
773	#495	C₂²×C₇	1	1	yes	characteristic, complemented
774	#492	C₂²×C₇	1	1	yes	characteristic
775	#491	C₂²×C₇	1	1	yes	characteristic, complemented
776	#490	C₂²×C₇	1	1	yes	characteristic
777	#489	C₂²×C₇	1	1	yes	characteristic, complemented
778	#489	C₂²×C₇	1	1	yes	characteristic, complemented
779	#488	C₂²×C₇	1	1	yes	characteristic, complemented
780	#488	C₂²×C₇	1	1	yes	characteristic, complemented
781	#485	C₂²×C₇	1	1	yes	characteristic, complemented
782	#485	C₂²×C₇	1	1	yes	characteristic, complemented
783	#484	C₂²×C₇	1	1	yes	characteristic, complemented
784	#484	C₂²×C₇	1	1	yes	characteristic, complemented
785	#483	C₂²×C₇	1	1	yes	characteristic, complemented
786	#483	C₂²×C₇	1	1	yes	characteristic, complemented
787	#482	C₂²×C₇	1	1	yes	characteristic
788	#482	C₂²×C₇	1	1	yes	characteristic, complemented
789	#481	C₂²×C₇	1	1	yes	characteristic
790	#481	C₂²×C₇	1	1	yes	characteristic, complemented
791	#480	C₂²×C₇	1	1	yes	characteristic, complemented
792	#480	C₂²×C₇	1	1	yes	characteristic, complemented
793	#479	C₂²×C₇	1	1	yes	characteristic, complemented
794	#479	C₂²×C₇	1	1	yes	characteristic, complemented
795	#479	C₂²×C₇	1	1	yes	characteristic, complemented
796	#479	C₂²×C₇	1	1	yes	characteristic, complemented
797	#478	C₂²×C₇	1	1	yes	characteristic
798	#478	C₂²×C₇	1	1	yes	characteristic
799	#478	C₂²×C₇	1	1	yes	characteristic, complemented
800	#478	C₂²×C₇	1	1	yes	characteristic, complemented
801	#477	C₂²×C₇	1	1	yes	characteristic, complemented
802	#476	C₂²×C₇	1	1	yes	characteristic, complemented
803	#475	C₂²×C₇	1	1	yes	characteristic, complemented
804	#474	C₂²×C₇	1	1	yes	characteristic
805	#470	C₂²×C₇	1	1	yes	characteristic, complemented
806	#469	C₂²×C₇	1	1	yes	characteristic
807	#468	C₂²×C₇	1	1	yes	characteristic, complemented
808	#468	C₂²×C₇	1	1	yes	characteristic, complemented
809	#467	C₂²×C₇	1	1	yes	characteristic, complemented
810	#466	C₂²×C₇	1	1	yes	characteristic
811	#465	C₂²×C₇	1	1	yes	characteristic
812	#465	C₂²×C₇	1	1	yes	characteristic
813	#465	C₂²×C₇	1	1	yes	characteristic, complemented
814	#465	C₂²×C₇	1	1	yes	characteristic, complemented
815	#465	C₂²×C₇	1	1	yes	characteristic, complemented
816	#465	C₂²×C₇	1	1	yes	characteristic, complemented
817	#464	C₂²×C₇	1	1	yes	characteristic, complemented
818	#464	C₂²×C₇	1	1	yes	characteristic, complemented
819	#464	C₂²×C₇	1	1	yes	characteristic, complemented
820	#464	C₂²×C₇	1	1	yes	characteristic, complemented
821	#463	C₂²×C₇	1	1	yes	characteristic
822	#463	C₂²×C₇	1	1	yes	characteristic
823	#463	C₂²×C₇	1	1	yes	characteristic, complemented
824	#463	C₂²×C₇	1	1	yes	characteristic, complemented
825	#462	C₂²×C₇	1	1	yes	characteristic, complemented
826	#461	C₂²×C₇	1	1	yes	characteristic
827	#460	C₂²×C₇	1	1	yes	characteristic
828	#459	C₂²×C₇	1	1	yes	characteristic
829	#452	C₂²×C₇	1	1	yes	characteristic
830	#452	C₂²×C₇	1	1	yes	characteristic
831	#451	C₂²×C₇	1	1	yes	characteristic, complemented
832	#451	C₂²×C₇	1	1	yes	characteristic, complemented
833	#450	C₂²×C₇	1	1	yes	characteristic
834	#450	C₂²×C₇	1	1	yes	characteristic
835	#449	C₂²×C₇	1	1	yes	characteristic, complemented
836	#449	C₂²×C₇	1	1	yes	characteristic, complemented
837	#448	C₂²×C₇	1	1	yes	characteristic
838	#448	C₂²×C₇	1	1	yes	characteristic
839	#447	C₂²×C₇	1	1	yes	characteristic
840	#447	C₂²×C₇	1	1	yes	characteristic
841	#446	C₂²×C₇	1	1	yes	characteristic, complemented
842	C₈×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
843	#442	C₂²×C₇	1	1	yes	characteristic
844	#442	C₂²×C₇	1	1	yes	characteristic
845	#442	C₂²×C₇	1	1	yes	characteristic, complemented
846	#441	C₂²×C₇	1	1	yes	characteristic, complemented
847	#441	C₂²×C₇	1	1	yes	characteristic, complemented
848	#441	C₂²×C₇	1	1	yes	characteristic, complemented
849	#440	C₂²×C₇	1	1	yes	characteristic
850	#440	C₂²×C₇	1	1	yes	characteristic
851	#440	C₂²×C₇	1	1	yes	characteristic, complemented
852	#440	C₂²×C₇	1	1	yes	characteristic, complemented
853	#440	C₂²×C₇	1	1	yes	characteristic, complemented
854	#440	C₂²×C₇	1	1	yes	characteristic, complemented
855	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
856	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
857	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
858	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
859	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
860	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
861	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
862	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
863	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
864	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
865	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
866	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
867	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
868	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
869	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
870	C₄×D₈	C₂²×C₇	1	1	yes	characteristic, complemented
871	#436	C₂²×C₇	1	1	yes	characteristic, complemented
872	#435	C₂²×C₇	1	1	yes	characteristic
873	#435	C₂²×C₇	1	1	yes	characteristic, complemented
874	C₈×D₄	C₂²×C₇	1	1	yes	characteristic
875	C₈×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
876	C₈×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
877	#433	C₂²×C₇	1	1	yes	characteristic, complemented
878	#433	C₂²×C₇	1	1	yes	characteristic, complemented
879	#432	C₂²×C₇	1	1	yes	characteristic, complemented
880	#427	C₂²×C₇	1	1	yes	characteristic, complemented
881	C₂×#106	C₂²×C₇	1	1	yes	characteristic, complemented
882	C₂×#106	C₂²×C₇	1	1	yes	characteristic, complemented
883	#419	C₂²×C₇	1	1	yes	characteristic, complemented
884	#418	C₂²×C₇	1	1	yes	characteristic
885	#417	C₂²×C₇	1	1	yes	characteristic
886	#417	C₂²×C₇	1	1	yes	characteristic, complemented
887	C₂×#103	C₂²×C₇	1	1	yes	characteristic, complemented
888	C₂×#102	C₂²×C₇	1	1	yes	characteristic
889	#405	C₂²×C₇	1	1	yes	characteristic, complemented
890	#405	C₂²×C₇	1	1	yes	characteristic, complemented
891	C₂×C₄×C₈	C₂²×C₇	1	1	yes	characteristic, complemented
892	C₂³×C₇	—	2	1	no	—
893	C₂³×C₇	—	2	1	no	—
894	C₂³×C₇	—	2	1	no	—
895	C₂³×C₇	—	2	1	no	—
896	C₂³×C₇	—	4	2	no	—
897	C₂³×C₇	—	4	2	no	—
898	C₂³×C₇	—	4	2	no	—
899	C₂³×C₇	—	8	1	no	—
900	C₂³×C₇	—	8	1	no	—
901	C₂³×C₇	—	8	1	no	—
902	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
903	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
904	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
905	C₇×Q₈	—	2	1	no	—
906	C₇×Q₈	—	2	1	no	—
907	C₇×Q₈	—	2	1	no	—
908	C₇×Q₈	—	2	1	no	—
909	C₇×Q₈	—	2	1	no	—
910	C₇×Q₈	—	2	1	no	—
911	C₇×Q₈	—	2	1	no	—
912	C₇×Q₈	—	4	1	no	—
913	C₇×Q₈	—	4	2	no	—
914	C₇×Q₈	—	4	2	no	—
915	C₇×Q₈	—	8	1	no	—
916	C₇×Q₈	—	8	1	no	—
917	C₇×Q₈	C₂×#41	1	2	yes	—
918	C₇×D₄	—	2	2	no	—
919	C₇×D₄	—	2	2	no	—
920	C₇×D₄	—	2	1	no	—
921	C₇×D₄	—	2	1	no	—
922	C₇×D₄	—	2	1	no	—
923	C₇×D₄	—	2	1	no	—
924	C₇×D₄	—	2	1	no	—
925	C₇×D₄	—	2	1	no	—
926	C₇×D₄	—	2	1	no	—
927	C₇×D₄	—	4	1	no	—
928	C₇×D₄	—	4	2	no	—
929	C₇×D₄	—	4	2	no	—
930	C₇×D₄	—	4	2	no	—
931	C₇×D₄	—	4	2	no	—
932	C₇×D₄	—	4	2	no	—
933	C₇×D₄	—	4	2	no	—
934	C₇×D₄	—	8	1	no	—
935	C₇×D₄	—	8	1	no	—
936	C₇×D₄	—	8	1	no	—
937	C₇×D₄	—	8	1	no	—
938	C₇×D₄	—	8	1	no	—
939	C₇×D₄	—	8	1	no	—
940	C₇×D₄	C₂×#41	1	2	yes	—
941	C₂×C₄×C₇	—	2	2	no	—
942	C₂×C₄×C₇	—	2	1	no	—
943	C₂×C₄×C₇	—	2	1	no	—
944	C₂×C₄×C₇	—	2	1	no	—
945	C₂×C₄×C₇	—	2	1	no	—
946	C₂×C₄×C₇	—	2	1	no	—
947	C₂×C₄×C₇	—	2	1	no	—
948	C₂×C₄×C₇	—	2	1	no	—
949	C₂×C₄×C₇	—	2	1	no	—
950	C₂×C₄×C₇	—	2	1	no	—
951	C₂×C₄×C₇	—	2	1	no	—
952	C₂×C₄×C₇	—	2	1	no	—
953	C₂×C₄×C₇	—	2	1	no	—
954	C₂×C₄×C₇	—	2	1	no	—
955	C₂×C₄×C₇	—	2	1	no	—
956	C₂×C₄×C₇	—	2	1	no	—
957	C₂×C₄×C₇	—	2	1	no	—
958	C₂×C₄×C₇	—	2	1	no	—
959	C₂×C₄×C₇	—	2	1	no	—
960	C₂×C₄×C₇	—	4	1	no	—
961	C₂×C₄×C₇	—	4	2	no	—
962	C₂×C₄×C₇	—	4	2	no	—
963	C₂×C₄×C₇	—	4	2	no	—
964	C₂×C₄×C₇	—	4	2	no	—
965	C₂×C₄×C₇	—	4	2	no	—
966	C₂×C₄×C₇	—	8	1	no	—
967	C₂×C₄×C₇	—	8	1	no	—
968	C₂×C₄×C₇	—	8	1	no	—
969	C₂×C₄×C₇	—	8	1	no	—
970	C₂×C₄×C₇	—	8	1	no	—
971	C₂×C₄×C₇	—	8	1	no	—
972	C₂×C₄×C₇	—	8	1	no	—
973	C₂×C₄×C₇	—	8	1	no	—
974	C₂×C₄×C₇	—	8	1	no	—
975	C₂×C₄×C₇	—	8	1	no	—
976	C₂×C₄×C₇	—	8	1	no	—
977	C₂×C₄×C₇	—	8	1	no	—
978	C₂×C₄×C₇	—	8	1	no	—
979	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
980	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
981	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
982	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
983	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
984	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
985	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
986	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
987	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
988	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
989	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
990	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
991	C₇×C₈	—	2	1	no	—
992	C₇×C₈	—	2	1	no	—
993	C₇×C₈	—	2	1	no	—
994	C₇×C₈	—	2	1	no	—
995	C₇×C₈	—	2	1	no	—
996	C₇×C₈	—	2	1	no	—
997	C₇×C₈	—	2	1	no	—
998	C₇×C₈	C₂×#41	1	2	yes	—
999	C₂×#41	—	2	1	no	—
1000	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1001	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1002	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1003	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1004	C₂²×D₄	—	2	1	no	—
1005	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1006	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1007	C₂³×C₄	—	2	1	no	—
1008	#135	—	2	4	no	—
1009	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1010	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1011	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1012	C₂×SD₁₆	—	2	4	no	—
1013	C₂×SD₁₆	—	2	4	no	—
1014	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1015	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1016	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1017	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1018	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1019	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1020	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1021	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1022	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1023	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1024	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1025	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1026	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1027	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1028	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1029	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1030	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1031	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1032	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1033	C₄⋊Q₈	—	2	1	no	—
1034	C₄⋊Q₈	—	2	1	no	—
1035	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1036	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1037	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1038	#127	C₂³×C₇	1	1	yes	characteristic
1039	#126	—	2	1	no	—
1040	#126	—	2	1	no	—
1041	#126	—	2	1	no	—
1042	#126	—	2	1	no	—
1043	#126	—	2	1	no	—
1044	#126	—	2	1	no	—
1045	#126	—	2	1	no	—
1046	#126	—	2	1	no	—
1047	#126	—	2	1	no	—
1048	#126	—	2	1	no	—
1049	#126	—	2	1	no	—
1050	#126	—	2	1	no	—
1051	#126	C₇×D₄	1	1	yes	characteristic
1052	#126	C₇×D₄	1	1	yes	characteristic
1053	#125	—	2	1	no	—
1054	#125	—	2	1	no	—
1055	#125	—	2	1	no	—
1056	#125	—	2	1	no	—
1057	#125	—	2	1	no	—
1058	#125	—	2	1	no	—
1059	#125	—	2	1	no	—
1060	#125	C₇×D₄	1	1	yes	characteristic
1061	#125	C₂³×C₇	1	1	yes	characteristic
1062	#125	C₂³×C₇	1	1	yes	characteristic
1063	#125	C₂³×C₇	1	1	yes	characteristic
1064	#125	C₂³×C₇	1	1	yes	characteristic
1065	#124	—	2	1	no	—
1066	#124	—	2	1	no	—
1067	#124	—	2	1	no	—
1068	#124	—	2	1	no	—
1069	#124	—	2	1	no	—
1070	#124	C₇×D₄	1	1	yes	characteristic
1071	#124	C₂³×C₇	1	1	yes	characteristic
1072	#124	C₂³×C₇	1	1	yes	characteristic
1073	#124	C₂³×C₇	1	1	yes	characteristic
1074	#124	C₂³×C₇	1	1	yes	characteristic
1075	#123	—	2	1	no	—
1076	#123	—	2	1	no	—
1077	#123	—	2	1	no	—
1078	#123	—	2	1	no	—
1079	#123	—	2	1	no	—
1080	#123	—	2	1	no	—
1081	#123	—	2	1	no	—
1082	#123	—	2	1	no	—
1083	#123	—	2	1	no	—
1084	#123	—	2	1	no	—
1085	#123	—	2	1	no	—
1086	#123	—	2	1	no	—
1087	#123	—	2	1	no	—
1088	#123	—	2	1	no	—
1089	#123	—	2	1	no	—
1090	#123	—	2	1	no	—
1091	#123	C₇×D₄	1	1	yes	characteristic
1092	#123	C₇×D₄	1	1	yes	characteristic
1093	C₂²⋊Q₈	—	2	1	no	—
1094	C₂²⋊Q₈	—	2	1	no	—
1095	C₂²⋊Q₈	—	2	1	no	—
1096	C₂²⋊Q₈	—	2	1	no	—
1097	C₂²⋊Q₈	—	2	1	no	—
1098	C₂²⋊Q₈	—	2	1	no	—
1099	C₂²⋊Q₈	—	2	1	no	—
1100	C₂²⋊Q₈	—	2	1	no	—
1101	C₂²⋊Q₈	—	2	1	no	—
1102	C₂²⋊Q₈	—	2	1	no	—
1103	C₂²⋊Q₈	—	2	1	no	—
1104	C₂²⋊Q₈	—	2	1	no	—
1105	C₂²⋊Q₈	—	2	1	no	—
1106	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
1107	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1108	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1109	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1110	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1111	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1112	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1113	#121	—	2	1	no	—
1114	#121	—	2	1	no	—
1115	#121	—	2	1	no	—
1116	#121	—	2	1	no	—
1117	#121	—	2	1	no	—
1118	#121	—	2	1	no	—
1119	#121	—	2	1	no	—
1120	#121	—	2	1	no	—
1121	#121	—	2	1	no	—
1122	#121	C₇×D₄	1	1	yes	characteristic
1123	#121	C₂³×C₇	1	1	yes	characteristic
1124	#121	C₂³×C₇	1	1	yes	characteristic
1125	#121	C₂³×C₇	1	1	yes	characteristic
1126	#121	C₂³×C₇	1	1	yes	characteristic
1127	#121	C₂³×C₇	1	1	yes	characteristic
1128	#121	C₂³×C₇	1	1	yes	characteristic
1129	#120	—	2	1	no	—
1130	#120	—	2	1	no	—
1131	#120	—	2	1	no	—
1132	#120	—	2	1	no	—
1133	C₄×Q₈	—	2	1	no	—
1134	C₄×Q₈	—	2	1	no	—
1135	C₄×Q₈	—	2	1	no	—
1136	C₄×Q₈	—	2	1	no	—
1137	C₄×Q₈	—	2	1	no	—
1138	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1139	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1140	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1141	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1142	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1143	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1144	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1145	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1146	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1147	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1148	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1149	C₄×D₄	—	2	1	no	—
1150	C₄×D₄	—	2	1	no	—
1151	C₄×D₄	—	2	1	no	—
1152	C₄×D₄	—	2	1	no	—
1153	C₄×D₄	—	2	1	no	—
1154	C₄×D₄	—	2	1	no	—
1155	C₄×D₄	—	2	1	no	—
1156	C₄×D₄	—	2	1	no	—
1157	C₄×D₄	—	2	1	no	—
1158	C₄×D₄	—	2	1	no	—
1159	C₄×D₄	—	2	1	no	—
1160	C₄×D₄	—	2	1	no	—
1161	C₄×D₄	—	2	1	no	—
1162	C₄×D₄	—	2	1	no	—
1163	C₄×D₄	—	2	1	no	—
1164	C₄×D₄	—	2	1	no	—
1165	C₄×D₄	—	2	1	no	—
1166	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1167	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1168	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1169	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1170	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1171	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1172	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1173	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1174	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1175	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1176	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1177	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1178	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1179	#117	—	2	1	no	—
1180	#117	—	2	1	no	—
1181	#117	—	2	1	no	—
1182	#117	—	2	1	no	—
1183	#117	—	2	1	no	—
1184	#117	—	2	1	no	—
1185	#117	—	2	1	no	—
1186	#117	—	2	1	no	—
1187	#117	—	2	1	no	—
1188	#117	C₂³×C₇	1	1	yes	characteristic
1189	#117	C₂³×C₇	1	1	yes	characteristic
1190	#117	C₂³×C₇	1	1	yes	characteristic
1191	#117	C₂³×C₇	1	1	yes	characteristic
1192	C₂×C₄⋊C₄	—	2	1	no	—
1193	C₂×C₄⋊C₄	—	2	1	no	—
1194	C₂×C₄⋊C₄	—	2	1	no	—
1195	C₂×C₄⋊C₄	—	2	1	no	—
1196	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1197	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1198	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1199	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1200	C₂×C₂²⋊C₄	—	2	1	no	—
1201	C₂×C₂²⋊C₄	—	2	1	no	—
1202	C₂×C₂²⋊C₄	—	2	1	no	—
1203	C₂×C₂²⋊C₄	—	2	1	no	—
1204	C₂×C₂²⋊C₄	—	2	1	no	—
1205	C₂×C₄²	—	2	1	no	—
1206	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1207	#107	C₂³×C₇	1	1	yes	characteristic
1208	#107	C₂³×C₇	1	1	yes	characteristic
1209	#107	C₂³×C₇	1	1	yes	characteristic
1210	#107	C₂³×C₇	1	1	yes	characteristic
1211	#107	C₂³×C₇	1	1	yes	characteristic
1212	#107	C₂³×C₇	1	1	yes	characteristic
1213	#106	C₂³×C₇	1	1	yes	characteristic
1214	#106	C₂³×C₇	1	1	yes	characteristic
1215	#106	C₂³×C₇	1	1	yes	characteristic
1216	#106	C₂³×C₇	1	1	yes	characteristic
1217	#106	C₂³×C₇	1	1	yes	characteristic
1218	#106	C₂³×C₇	1	1	yes	characteristic
1219	#106	C₂³×C₇	1	1	yes	characteristic
1220	#106	C₂³×C₇	1	1	yes	characteristic
1221	#106	C₂³×C₇	1	1	yes	characteristic
1222	#106	C₂³×C₇	1	1	yes	characteristic
1223	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1224	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1225	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1226	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1227	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1228	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1229	#103	C₂³×C₇	1	1	yes	characteristic
1230	#103	C₂³×C₇	1	1	yes	characteristic
1231	#103	C₂³×C₇	1	1	yes	characteristic
1232	#103	C₂³×C₇	1	1	yes	characteristic
1233	#103	C₂³×C₇	1	1	yes	characteristic
1234	#103	C₂³×C₇	1	1	yes	characteristic
1235	#103	C₂³×C₇	1	1	yes	characteristic
1236	#103	C₂³×C₇	1	1	yes	characteristic
1237	#103	C₂³×C₇	1	1	yes	characteristic
1238	#103	C₂³×C₇	1	1	yes	characteristic
1239	#103	C₂³×C₇	1	1	yes	characteristic
1240	#103	C₂³×C₇	1	1	yes	characteristic
1241	#103	C₂³×C₇	1	1	yes	characteristic
1242	#103	C₂³×C₇	1	1	yes	characteristic
1243	#103	C₂³×C₇	1	1	yes	characteristic
1244	#103	C₂³×C₇	1	1	yes	characteristic
1245	#102	C₂³×C₇	1	1	yes	characteristic
1246	#102	C₂³×C₇	1	1	yes	characteristic
1247	#102	C₂³×C₇	1	1	yes	characteristic
1248	#102	C₂³×C₇	1	1	yes	characteristic
1249	#102	C₂³×C₇	1	1	yes	characteristic
1250	#102	C₂³×C₇	1	1	yes	characteristic
1251	#102	C₂³×C₇	1	1	yes	characteristic
1252	#102	C₂³×C₇	1	1	yes	characteristic
1253	#102	C₂³×C₇	1	1	yes	characteristic
1254	#102	C₂³×C₇	1	1	yes	characteristic
1255	#102	C₂³×C₇	1	1	yes	characteristic
1256	#102	C₂³×C₇	1	1	yes	characteristic
1257	#102	C₂³×C₇	1	1	yes	characteristic
1258	#102	C₂³×C₇	1	1	yes	characteristic
1259	#102	C₂³×C₇	1	1	yes	characteristic
1260	#102	C₂³×C₇	1	1	yes	characteristic
1261	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1262	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1263	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1264	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1265	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1266	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1267	#97	C₂³×C₇	1	1	yes	characteristic
1268	#97	C₂³×C₇	1	1	yes	characteristic
1269	#97	C₂³×C₇	1	1	yes	characteristic
1270	#97	C₂³×C₇	1	1	yes	characteristic
1271	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1272	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1273	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1274	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1275	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1276	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1277	C₂²×C₇	—	2	1	no	—
1278	C₂²×C₇	—	2	1	no	—
1279	C₂²×C₇	—	2	1	no	—
1280	C₂²×C₇	—	2	1	no	—
1281	C₂²×C₇	—	2	1	no	—
1282	C₂²×C₇	—	2	1	no	—
1283	C₂²×C₇	—	2	2	no	—
1284	C₂²×C₇	—	2	1	no	—
1285	C₂²×C₇	—	2	1	no	—
1286	C₂²×C₇	—	4	1	no	—
1287	C₂²×C₇	—	4	1	no	—
1288	C₂²×C₇	—	4	1	no	—
1289	C₂²×C₇	—	4	1	no	—
1290	C₂²×C₇	—	4	1	no	—
1291	C₂²×C₇	—	4	1	no	—
1292	C₂²×C₇	—	4	1	no	—
1293	C₂²×C₇	—	4	1	no	—
1294	C₂²×C₇	—	4	1	no	—
1295	C₂²×C₇	—	4	1	no	—
1296	C₂²×C₇	—	4	1	no	—
1297	C₂²×C₇	—	8	4	no	—
1298	C₂²×C₇	—	16	2	no	—
1299	C₂²×C₇	#577	1	2	yes	—
1300	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1301	C₄×C₇	—	2	1	no	—
1302	C₄×C₇	—	2	1	no	—
1303	C₄×C₇	—	2	1	no	—
1304	C₄×C₇	—	2	1	no	—
1305	C₄×C₇	—	2	1	no	—
1306	C₄×C₇	—	2	1	no	—
1307	C₄×C₇	—	2	1	no	—
1308	C₄×C₇	—	2	2	no	—
1309	C₄×C₇	—	2	1	no	—
1310	C₄×C₇	—	2	1	no	—
1311	C₄×C₇	—	2	1	no	—
1312	C₄×C₇	—	2	1	no	—
1313	C₄×C₇	—	4	1	no	—
1314	C₄×C₇	—	4	1	no	—
1315	C₄×C₇	—	4	1	no	—
1316	C₄×C₇	—	4	1	no	—
1317	C₄×C₇	—	4	1	no	—
1318	C₄×C₇	—	4	1	no	—
1319	C₄×C₇	—	4	1	no	—
1320	C₄×C₇	—	4	1	no	—
1321	C₄×C₇	—	4	1	no	—
1322	C₄×C₇	—	4	1	no	—
1323	C₄×C₇	—	4	1	no	—
1324	C₄×C₇	C₂²×#41	1	1	yes	characteristic
1325	C₄×C₇	#585	1	1	yes	characteristic
1326	C₂⁴	—	2	1	no	—
1327	C₂⁴	—	2	1	no	—
1328	#41	—	2	2	no	—
1329	#41	—	2	2	no	—
1330	#41	—	4	1	no	—
1331	#41	—	4	1	no	—
1332	#41	—	8	2	no	—
1333	C₂×Q₈	—	2	1	no	—
1334	C₂×Q₈	—	2	1	no	—
1335	C₂×Q₈	—	2	1	no	—
1336	C₂×Q₈	—	2	1	no	—
1337	C₂×Q₈	—	2	2	no	—
1338	C₂×Q₈	—	2	2	no	—
1339	C₂×Q₈	—	4	1	no	—
1340	C₂×Q₈	—	4	1	no	—
1341	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1342	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1343	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1344	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1345	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1346	C₂×D₄	—	2	2	no	—
1347	C₂×D₄	—	2	2	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	4	1	no	—
1361	C₂×D₄	—	4	1	no	—
1362	C₂×D₄	—	8	2	no	—
1363	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1364	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1365	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1366	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1367	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1368	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1369	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	2	1	no	—
1387	C₂²×C₄	—	2	1	no	—
1388	C₂²×C₄	—	8	2	no	—
1389	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1390	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1391	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1392	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1393	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1394	Q₁₆	—	2	2	no	—
1395	Q₁₆	—	4	1	no	—
1396	Q₁₆	—	4	1	no	—
1397	SD₁₆	—	2	2	no	—
1398	SD₁₆	—	2	2	no	—
1399	SD₁₆	—	2	2	no	—
1400	SD₁₆	—	2	2	no	—
1401	SD₁₆	—	2	2	no	—
1402	SD₁₆	—	2	2	no	—
1403	SD₁₆	—	2	2	no	—
1404	SD₁₆	—	4	1	no	—
1405	SD₁₆	—	4	1	no	—
1406	SD₁₆	C₇×#41	1	4	yes	complemented
1407	D₈	—	2	2	no	—
1408	D₈	—	4	1	no	—
1409	D₈	—	4	1	no	—
1410	M₁₆	—	4	1	no	—
1411	M₁₆	—	4	1	no	—
1412	C₂×C₈	—	2	2	no	—
1413	C₂×C₈	—	2	2	no	—
1414	C₂×C₈	—	2	2	no	—
1415	C₂×C₈	—	4	1	no	—
1416	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1417	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1418	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1419	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1420	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1421	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1422	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1423	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1457	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1458	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1459	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1460	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1461	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1462	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1463	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1464	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1465	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1466	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1467	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1468	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1469	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1470	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1471	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1472	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1473	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1507	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1508	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1509	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1510	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1511	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1512	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1513	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1514	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1515	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	—	2	1	no	—
1521	C₄²	—	2	1	no	—
1522	C₄²	—	2	1	no	—
1523	C₄²	—	2	1	no	—
1524	C₄²	—	2	1	no	—
1525	C₄²	—	2	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1529	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1530	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1531	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1532	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1533	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1534	C₂×C₇	—	2	2	no	—
1535	C₂×C₇	—	4	1	no	—
1536	C₂×C₇	—	4	1	no	—
1537	C₂×C₇	—	4	2	no	—
1538	C₂×C₇	—	8	1	no	—
1539	C₂×C₇	—	8	1	no	—
1540	C₂×C₇	—	8	1	no	—
1541	C₂×C₇	D₄×#41	1	1	yes	characteristic
1542	C₂×C₇	C₂×#577	1	1	yes	characteristic
1543	C₂×C₇	#3584	1	1	yes	characteristic
1544	C₂³	—	2	1	no	—
1545	C₂³	—	2	1	no	—
1546	C₂³	—	2	1	no	—
1547	C₂³	—	2	1	no	—
1548	C₂³	—	4	2	no	—
1549	C₂³	—	4	2	no	—
1550	C₂³	—	4	2	no	—
1551	C₂³	—	8	1	no	—
1552	C₂³	—	8	1	no	—
1553	C₂³	—	8	1	no	—
1554	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1555	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1556	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1557	Q₈	—	2	1	no	—
1558	Q₈	—	2	1	no	—
1559	Q₈	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	2	1	no	—
1562	Q₈	—	2	1	no	—
1563	Q₈	—	2	1	no	—
1564	Q₈	—	4	1	no	—
1565	Q₈	—	4	2	no	—
1566	Q₈	—	4	2	no	—
1567	Q₈	—	8	1	no	—
1568	Q₈	—	8	1	no	—
1569	Q₈	C₂×C₇×#41	1	2	yes	—
1570	D₄	—	2	2	no	—
1571	D₄	—	2	2	no	—
1572	D₄	—	2	1	no	—
1573	D₄	—	2	1	no	—
1574	D₄	—	2	1	no	—
1575	D₄	—	2	1	no	—
1576	D₄	—	2	1	no	—
1577	D₄	—	2	1	no	—
1578	D₄	—	2	1	no	—
1579	D₄	—	4	1	no	—
1580	D₄	—	4	2	no	—
1581	D₄	—	4	2	no	—
1582	D₄	—	4	2	no	—
1583	D₄	—	4	2	no	—
1584	D₄	—	4	2	no	—
1585	D₄	—	4	2	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	8	1	no	—
1588	D₄	—	8	1	no	—
1589	D₄	—	8	1	no	—
1590	D₄	—	8	1	no	—
1591	D₄	—	8	1	no	—
1592	D₄	C₂×C₇×#41	1	2	yes	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	2	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	4	1	no	—
1613	C₂×C₄	—	4	2	no	—
1614	C₂×C₄	—	4	2	no	—
1615	C₂×C₄	—	4	2	no	—
1616	C₂×C₄	—	4	2	no	—
1617	C₂×C₄	—	4	2	no	—
1618	C₂×C₄	—	8	1	no	—
1619	C₂×C₄	—	8	1	no	—
1620	C₂×C₄	—	8	1	no	—
1621	C₂×C₄	—	8	1	no	—
1622	C₂×C₄	—	8	1	no	—
1623	C₂×C₄	—	8	1	no	—
1624	C₂×C₄	—	8	1	no	—
1625	C₂×C₄	—	8	1	no	—
1626	C₂×C₄	—	8	1	no	—
1627	C₂×C₄	—	8	1	no	—
1628	C₂×C₄	—	8	1	no	—
1629	C₂×C₄	—	8	1	no	—
1630	C₂×C₄	—	8	1	no	—
1631	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1632	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1633	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1634	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1635	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1636	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1637	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1638	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1639	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1640	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1641	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1642	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1643	C₈	—	2	1	no	—
1644	C₈	—	2	1	no	—
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₈	C₂×C₇×#41	1	2	yes	—
1651	C₇	#61472	1	1	yes	characteristic, direct product factor, Sylow
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	2	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	8	4	no	—
1673	C₂²	—	16	2	no	—
1674	C₂²	C₇×#577	1	2	yes	—
1675	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	2	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	C₂²×C₇×#41	1	1	yes	characteristic
1700	C₄	C₇×#585	1	1	yes	characteristic
1701	C₂	—	2	2	no	—
1702	C₂	—	4	1	no	—
1703	C₂	—	4	1	no	—
1704	C₂	—	4	2	no	—
1705	C₂	—	8	1	no	—
1706	C₂	—	8	1	no	—
1707	C₂	—	8	1	no	—
1708	C₂	C₇×D₄×#41	1	1	yes	characteristic
1709	C₂	C₂×C₇×#577	1	1	yes	characteristic
1710	C₂	C₇×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₇×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3516	C₂	semidirect
2. C₇×#3513	C₂	semidirect
3. C₇×#3394	C₂	semidirect
4. C₇×#3381	C₂	semidirect
5. C₇×#3376	C₂	semidirect
6. C₇×#3371	C₂	semidirect
7. C₇×#3337	C₂	semidirect
8. C₇×#3337	C₂	semidirect
9. C₇×#3335	C₂	semidirect
10. C₇×#3326	C₂	semidirect
11. C₇×#3323	C₂	semidirect
12. C₇×#3318	C₂	semidirect
13. C₇×#3314	C₂	semidirect
14. C₇×#3312	C₂	semidirect
15. C₇×#3308	C₂	semidirect
16. C₇×#3282	C₂	semidirect
17. C₇×#3282	C₂	semidirect
18. C₇×D₄×SD₁₆	C₂	semidirect
19. C₇×#3174	C₂	semidirect
20. C₇×#3173	C₂	semidirect
21. C₇×#3168	C₂	semidirect
22. C₇×#3121	C₂	semidirect
23. C₇×#3120	C₂	semidirect
24. C₇×#3119	C₂	semidirect
25. C₇×#3118	C₂	semidirect
26. C₇×#3117	C₂	semidirect
27. C₇×#3114	C₂	semidirect
28. C₇×#2966	C₂	semidirect
29. C₇×#2952	C₂	semidirect
30. C₇×#2949	C₂	semidirect
31. C₂×C₄×C₇×SD₁₆	C₂	semidirect
36. C₇×#557	C₂²	semidirect
38. C₇×#556	C₂²	semidirect
41. C₇×#554	C₂²	semidirect
48. C₇×#552	C₂²	semidirect
52. C₇×#548	C₂²	semidirect
53. C₇×#548	C₂²	semidirect
61. C₇×#542	C₂²	semidirect
63. C₇×#541	C₂²	semidirect
71. C₇×#529	C₂²	semidirect
75. C₇×#520	C₂²	semidirect
76. C₇×#519	C₂²	semidirect
78. C₂×C₄×C₇×Q₈	C₂²	semidirect
80. C₇×#499	C₂²	semidirect
81. C₇×#499	C₂²	semidirect
82. C₇×#498	C₂²	semidirect
83. C₇×#495	C₂²	semidirect
84. C₇×#495	C₂²	semidirect
86. C₇×#491	C₂²	semidirect
88. C₇×#489	C₂²	semidirect
89. C₇×#489	C₂²	semidirect
90. C₇×#488	C₂²	semidirect
91. C₇×#488	C₂²	semidirect
92. C₇×#485	C₂²	semidirect
93. C₇×#485	C₂²	semidirect
94. C₇×#484	C₂²	semidirect
95. C₇×#484	C₂²	semidirect
96. C₇×#483	C₂²	semidirect
97. C₇×#483	C₂²	semidirect
99. C₇×#482	C₂²	semidirect
101. C₇×#481	C₂²	semidirect
102. C₇×#480	C₂²	semidirect
103. C₇×#480	C₂²	semidirect
104. C₇×#479	C₂²	semidirect
105. C₇×#479	C₂²	semidirect
106. C₇×#479	C₂²	semidirect
107. C₇×#479	C₂²	semidirect
110. C₇×#478	C₂²	semidirect
111. C₇×#478	C₂²	semidirect
112. C₇×#477	C₂²	semidirect
113. C₇×#476	C₂²	semidirect
114. C₇×#475	C₂²	semidirect
116. C₇×#470	C₂²	semidirect
118. C₇×#468	C₂²	semidirect
119. C₇×#468	C₂²	semidirect
120. C₇×#467	C₂²	semidirect
124. C₇×#465	C₂²	semidirect
125. C₇×#465	C₂²	semidirect
126. C₇×#465	C₂²	semidirect
127. C₇×#465	C₂²	semidirect
128. C₇×#464	C₂²	semidirect
129. C₇×#464	C₂²	semidirect
130. C₇×#464	C₂²	semidirect
131. C₇×#464	C₂²	semidirect
134. C₇×#463	C₂²	semidirect
135. C₇×#463	C₂²	semidirect
136. C₇×#462	C₂²	semidirect
142. C₇×#451	C₂²	semidirect
143. C₇×#451	C₂²	semidirect
146. C₇×#449	C₂²	semidirect
147. C₇×#449	C₂²	semidirect
152. C₇×#446	C₂²	semidirect
153. C₇×C₈×Q₈	C₂²	semidirect
156. C₇×#442	C₂²	semidirect
157. C₇×#441	C₂²	semidirect
158. C₇×#441	C₂²	semidirect
159. C₇×#441	C₂²	semidirect
162. C₇×#440	C₂²	semidirect
163. C₇×#440	C₂²	semidirect
164. C₇×#440	C₂²	semidirect
165. C₇×#440	C₂²	semidirect
166. C₄×C₇×Q₁₆	C₂²	semidirect
173. C₄×C₇×SD₁₆	C₂²	semidirect
174. C₄×C₇×SD₁₆	C₂²	semidirect
175. C₄×C₇×SD₁₆	C₂²	semidirect
176. C₄×C₇×SD₁₆	C₂²	semidirect
177. C₄×C₇×SD₁₆	C₂²	semidirect
178. C₄×C₇×SD₁₆	C₂²	semidirect
179. C₄×C₇×SD₁₆	C₂²	semidirect
180. C₄×C₇×SD₁₆	C₂²	semidirect
181. C₄×C₇×D₈	C₂²	semidirect
182. C₇×#436	C₂²	semidirect
184. C₇×#435	C₂²	semidirect
186. C₇×C₈×D₄	C₂²	semidirect
187. C₇×C₈×D₄	C₂²	semidirect
188. C₇×#433	C₂²	semidirect
189. C₇×#433	C₂²	semidirect
190. C₇×#432	C₂²	semidirect
191. C₇×#427	C₂²	semidirect
192. C₂×C₇×#106	C₂²	semidirect
193. C₂×C₇×#106	C₂²	semidirect
194. C₇×#419	C₂²	semidirect
197. C₇×#417	C₂²	semidirect
198. C₂×C₇×#103	C₂²	semidirect
200. C₇×#405	C₂²	semidirect
201. C₇×#405	C₂²	semidirect
202. C₂×C₄×C₇×C₈	C₂²	semidirect
203. #61472	C₇	direct (N × H)
482. #3516	C₂×C₇	semidirect
483. #3513	C₂×C₇	semidirect
484. #3394	C₂×C₇	semidirect
485. #3381	C₂×C₇	semidirect
486. #3376	C₂×C₇	semidirect
487. #3371	C₂×C₇	semidirect
488. #3337	C₂×C₇	semidirect
489. #3337	C₂×C₇	semidirect
490. #3335	C₂×C₇	semidirect
491. #3326	C₂×C₇	semidirect
492. #3323	C₂×C₇	semidirect
493. #3318	C₂×C₇	semidirect
494. #3314	C₂×C₇	semidirect
495. #3312	C₂×C₇	semidirect
496. #3308	C₂×C₇	semidirect
497. #3282	C₂×C₇	semidirect
498. #3282	C₂×C₇	semidirect
499. D₄×SD₁₆	C₂×C₇	semidirect
500. #3174	C₂×C₇	semidirect
501. #3173	C₂×C₇	semidirect
502. #3168	C₂×C₇	semidirect
503. #3121	C₂×C₇	semidirect
504. #3120	C₂×C₇	semidirect
505. #3119	C₂×C₇	semidirect
506. #3118	C₂×C₇	semidirect
507. #3117	C₂×C₇	semidirect
508. #3114	C₂×C₇	semidirect
509. #2966	C₂×C₇	semidirect
510. #2952	C₂×C₇	semidirect
511. #2949	C₂×C₇	semidirect
512. C₂×C₄×SD₁₆	C₂×C₇	semidirect
593. C₇×SD₁₆	#41	semidirect
725. #557	C₂²×C₇	semidirect
727. #556	C₂²×C₇	semidirect
730. #554	C₂²×C₇	semidirect
737. #552	C₂²×C₇	semidirect
741. #548	C₂²×C₇	semidirect
742. #548	C₂²×C₇	semidirect
750. #542	C₂²×C₇	semidirect
752. #541	C₂²×C₇	semidirect
760. #529	C₂²×C₇	semidirect
764. #520	C₂²×C₇	semidirect
765. #519	C₂²×C₇	semidirect
767. C₂×C₄×Q₈	C₂²×C₇	semidirect
769. #499	C₂²×C₇	semidirect
770. #499	C₂²×C₇	semidirect
771. #498	C₂²×C₇	semidirect
772. #495	C₂²×C₇	semidirect
773. #495	C₂²×C₇	semidirect
775. #491	C₂²×C₇	semidirect
777. #489	C₂²×C₇	semidirect
778. #489	C₂²×C₇	semidirect
779. #488	C₂²×C₇	semidirect
780. #488	C₂²×C₇	semidirect
781. #485	C₂²×C₇	semidirect
782. #485	C₂²×C₇	semidirect
783. #484	C₂²×C₇	semidirect
784. #484	C₂²×C₇	semidirect
785. #483	C₂²×C₇	semidirect
786. #483	C₂²×C₇	semidirect
788. #482	C₂²×C₇	semidirect
790. #481	C₂²×C₇	semidirect
791. #480	C₂²×C₇	semidirect
792. #480	C₂²×C₇	semidirect
793. #479	C₂²×C₇	semidirect
794. #479	C₂²×C₇	semidirect
795. #479	C₂²×C₇	semidirect
796. #479	C₂²×C₇	semidirect
799. #478	C₂²×C₇	semidirect
800. #478	C₂²×C₇	semidirect
801. #477	C₂²×C₇	semidirect
802. #476	C₂²×C₇	semidirect
803. #475	C₂²×C₇	semidirect
805. #470	C₂²×C₇	semidirect
807. #468	C₂²×C₇	semidirect
808. #468	C₂²×C₇	semidirect
809. #467	C₂²×C₇	semidirect
813. #465	C₂²×C₇	semidirect
814. #465	C₂²×C₇	semidirect
815. #465	C₂²×C₇	semidirect
816. #465	C₂²×C₇	semidirect
817. #464	C₂²×C₇	semidirect
818. #464	C₂²×C₇	semidirect
819. #464	C₂²×C₇	semidirect
820. #464	C₂²×C₇	semidirect
823. #463	C₂²×C₇	semidirect
824. #463	C₂²×C₇	semidirect
825. #462	C₂²×C₇	semidirect
831. #451	C₂²×C₇	semidirect
832. #451	C₂²×C₇	semidirect
835. #449	C₂²×C₇	semidirect
836. #449	C₂²×C₇	semidirect
841. #446	C₂²×C₇	semidirect
842. C₈×Q₈	C₂²×C₇	semidirect
845. #442	C₂²×C₇	semidirect
846. #441	C₂²×C₇	semidirect
847. #441	C₂²×C₇	semidirect
848. #441	C₂²×C₇	semidirect
851. #440	C₂²×C₇	semidirect
852. #440	C₂²×C₇	semidirect
853. #440	C₂²×C₇	semidirect
854. #440	C₂²×C₇	semidirect
855. C₄×Q₁₆	C₂²×C₇	semidirect
862. C₄×SD₁₆	C₂²×C₇	semidirect
863. C₄×SD₁₆	C₂²×C₇	semidirect
864. C₄×SD₁₆	C₂²×C₇	semidirect
865. C₄×SD₁₆	C₂²×C₇	semidirect
866. C₄×SD₁₆	C₂²×C₇	semidirect
867. C₄×SD₁₆	C₂²×C₇	semidirect
868. C₄×SD₁₆	C₂²×C₇	semidirect
869. C₄×SD₁₆	C₂²×C₇	semidirect
870. C₄×D₈	C₂²×C₇	semidirect
871. #436	C₂²×C₇	semidirect
873. #435	C₂²×C₇	semidirect
875. C₈×D₄	C₂²×C₇	semidirect
876. C₈×D₄	C₂²×C₇	semidirect
877. #433	C₂²×C₇	semidirect
878. #433	C₂²×C₇	semidirect
879. #432	C₂²×C₇	semidirect
880. #427	C₂²×C₇	semidirect
881. C₂×#106	C₂²×C₇	semidirect
882. C₂×#106	C₂²×C₇	semidirect
883. #419	C₂²×C₇	semidirect
886. #417	C₂²×C₇	semidirect
887. C₂×#103	C₂²×C₇	semidirect
889. #405	C₂²×C₇	semidirect
890. #405	C₂²×C₇	semidirect
891. C₂×C₄×C₈	C₂²×C₇	semidirect
1406. SD₁₆	C₇×#41	semidirect
1651. C₇	#61472	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×#3516	2
C₇×#3513	2
C₇×#3394	2
C₇×#3381	2
C₇×#3376	2
C₇×#3371	2
C₇×#3337	2
C₇×#3335	2
C₇×#3326	2
C₇×#3323	2
C₇×#3318	2
C₇×#3314	2
C₇×#3312	2
C₇×#3308	2
C₇×#3282	2
C₇×D₄×SD₁₆	2
C₇×#3174	2
C₇×#3173	2
C₇×#3168	2
C₇×#3121	2
C₇×#3120	2
C₇×#3119	2
C₇×#3118	2
C₇×#3117	2
C₇×#3114	2
C₇×#2966	2
C₇×#2952	2
C₇×#2949	2
C₂×C₄×C₇×SD₁₆	2
#61472	7

Subgroups — C7×#61472 #13238688

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61472 #13238688