Subgroups — #27109537

Order 12032.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257332	C₂	1	1	yes	maximal, characteristic, complemented
2	#20256472	C₂	1	1	yes	maximal, characteristic, complemented
3	#20256430	C₂	1	1	yes	maximal, characteristic, complemented
4	#20256135	C₂	1	1	yes	maximal, characteristic, complemented
5	#20256091	C₂	1	1	yes	maximal, characteristic, complemented
6	#20255529	C₂	1	1	yes	maximal, characteristic, complemented
7	#20255409	C₂	1	1	yes	maximal, characteristic, complemented
8	#20255394	C₂	1	1	yes	maximal, characteristic, complemented
9	#20255349	C₂	1	1	yes	maximal, characteristic, complemented
10	#20255223	C₂	1	1	yes	maximal, characteristic, complemented
11	#20255201	C₂	1	1	yes	maximal, characteristic, complemented
12	#20255069	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×#10625334	C₂	1	1	yes	maximal, characteristic, complemented
14	#20254929	C₂	1	1	yes	maximal, characteristic, complemented
15	#20254869	C₂	1	1	yes	maximal, characteristic, complemented
16	#20254864	C₂	1	1	yes	maximal, characteristic, complemented
17	#20254864	C₂	1	1	yes	maximal, characteristic, complemented
18	#20254823	C₂	1	1	yes	maximal, characteristic, complemented
19	#20254793	C₂	1	1	yes	maximal, characteristic, complemented
20	#20254735	C₂	1	1	yes	maximal, characteristic, complemented
21	#20254482	C₂	1	1	yes	maximal, characteristic, complemented
22	#20254438	C₂	1	1	yes	maximal, characteristic, complemented
23	#20254406	C₂	1	1	yes	maximal, characteristic, complemented
24	#20253626	C₂	1	1	yes	maximal, characteristic, complemented
25	#20253581	C₂	1	1	yes	maximal, characteristic, complemented
26	#20253522	C₂	1	1	yes	maximal, characteristic, complemented
27	#20252923	C₂	1	1	yes	maximal, characteristic, complemented
28	#20252887	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#15689315	C₂	1	1	yes	maximal, characteristic, complemented
30	#20252527	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#3543	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13094050	C₂²	1	1	yes	characteristic, complemented
33	C₂×#13094049	C₂²	1	1	yes	characteristic, complemented
34	C₂×#13094044	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#10625334	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#10625334	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#10625334	C₂²	1	1	yes	characteristic, complemented
38	#15689858	C₂²	1	1	yes	characteristic, complemented
39	#15689833	C₂²	1	1	yes	characteristic, complemented
40	#15689824	—	2	1	no	—
41	#15689819	C₂²	1	1	yes	characteristic, complemented
42	#15689813	C₂²	1	1	yes	characteristic, complemented
43	#15689800	—	2	1	no	—
44	#15689798	—	2	1	no	—
45	#15689777	C₂²	1	1	yes	characteristic, complemented
46	#15689769	C₂²	1	1	yes	characteristic, complemented
47	#15689769	C₂²	1	1	yes	characteristic, complemented
48	#15689762	—	2	1	no	—
49	D₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
50	#15689744	C₂²	1	1	yes	characteristic, complemented
51	#15689728	C₂²	1	1	yes	characteristic, complemented
52	#15689721	—	2	1	no	—
53	#15689707	—	2	1	no	—
54	#15689657	C₂²	1	1	yes	characteristic, complemented
55	#15689631	—	2	1	no	—
56	#123×D₄₇	—	2	1	no	—
57	#15689603	C₂²	1	1	yes	characteristic, complemented
58	#15689597	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
60	#15689513	C₂²	1	1	yes	characteristic, complemented
61	#15689510	C₂²	1	1	yes	characteristic, complemented
62	#15689510	C₂²	1	1	yes	characteristic, complemented
63	#15689510	C₂²	1	1	yes	characteristic, complemented
64	#15689505	C₂²	1	1	yes	characteristic, complemented
65	#15689499	C₂²	1	1	yes	characteristic, complemented
66	#15689487	C₂²	1	1	yes	characteristic, complemented
67	#15689487	C₂²	1	1	yes	characteristic, complemented
68	#15689487	C₂²	1	1	yes	characteristic, complemented
69	#15689482	C₂²	1	1	yes	characteristic, complemented
70	#15689477	C₂²	1	1	yes	characteristic, complemented
71	#15689469	C₂²	1	1	yes	characteristic, complemented
72	#15689451	C₂²	1	1	yes	characteristic, complemented
73	#15689444	C₂²	1	1	yes	characteristic, complemented
74	#15689444	C₂²	1	1	yes	characteristic, complemented
75	#15689439	C₂²	1	1	yes	characteristic, complemented
76	#15689434	C₂²	1	1	yes	characteristic, complemented
77	#15689434	C₂²	1	1	yes	characteristic, complemented
78	#15689430	C₂²	1	1	yes	characteristic, complemented
79	#15689427	C₂²	1	1	yes	characteristic, complemented
80	#15689423	C₂²	1	1	yes	characteristic, complemented
81	#15689423	C₂²	1	1	yes	characteristic, complemented
82	#15689423	C₂²	1	1	yes	characteristic, complemented
83	#15689420	C₂²	1	1	yes	characteristic, complemented
84	#15689420	C₂²	1	1	yes	characteristic, complemented
85	#15689420	C₂²	1	1	yes	characteristic, complemented
86	#15689413	C₂²	1	1	yes	characteristic, complemented
87	#15689403	C₂²	1	1	yes	characteristic, complemented
88	#15689374	C₂²	1	1	yes	characteristic, complemented
89	#15689374	C₂²	1	1	yes	characteristic, complemented
90	#15689374	C₂²	1	1	yes	characteristic, complemented
91	#15689367	C₂²	1	1	yes	characteristic, complemented
92	#15689362	C₂²	1	1	yes	characteristic, complemented
93	#15689357	C₂²	1	1	yes	characteristic
94	#15689357	C₂²	1	1	yes	characteristic, complemented
95	#15689357	C₂²	1	1	yes	characteristic, complemented
96	#15689357	C₂²	1	1	yes	characteristic, complemented
97	#15689354	C₂²	1	1	yes	characteristic, complemented
98	#15689350	C₂²	1	1	yes	characteristic, complemented
99	#15689350	C₂²	1	1	yes	characteristic, complemented
100	#15689345	C₂²	1	1	yes	characteristic, complemented
101	#15689342	C₂²	1	1	yes	characteristic, complemented
102	#15689342	C₂²	1	1	yes	characteristic, complemented
103	#15689338	C₂²	1	1	yes	characteristic, complemented
104	#15689338	C₂²	1	1	yes	characteristic, complemented
105	#15689338	C₂²	1	1	yes	characteristic, complemented
106	#15689335	C₂²	1	1	yes	characteristic, complemented
107	#15689335	C₂²	1	1	yes	characteristic, complemented
108	#15689335	C₂²	1	1	yes	characteristic, complemented
109	#15689335	C₂²	1	1	yes	characteristic, complemented
110	#15689335	C₂²	1	1	yes	characteristic, complemented
111	#15689335	C₂²	1	1	yes	characteristic, complemented
112	#15689320	C₂²	1	1	yes	characteristic, complemented
113	#15689320	C₂²	1	1	yes	characteristic, complemented
114	#15689320	C₂²	1	1	yes	characteristic, complemented
115	#15689318	C₂²	1	1	yes	characteristic, complemented
116	#15689318	C₂²	1	1	yes	characteristic, complemented
117	#15689315	C₂²	1	1	yes	characteristic
118	#15689315	C₂²	1	1	yes	characteristic, complemented
119	#15689315	C₂²	1	1	yes	characteristic, complemented
120	#15689315	C₂²	1	1	yes	characteristic, complemented
121	#15689315	C₂²	1	1	yes	characteristic, complemented
122	#15689315	C₂²	1	1	yes	characteristic, complemented
123	#15689315	C₂²	1	1	yes	characteristic, complemented
124	#15689315	C₂²	1	1	yes	characteristic, complemented
125	#15689315	C₂²	1	1	yes	characteristic, complemented
126	#15689315	C₂²	1	1	yes	characteristic, complemented
127	#15689315	C₂²	1	1	yes	characteristic, complemented
128	#15689315	C₂²	1	1	yes	characteristic, complemented
129	#15689315	C₂²	1	1	yes	characteristic, complemented
130	#15689285	C₂²	1	1	yes	characteristic, complemented
131	#15689274	C₂²	1	1	yes	characteristic, complemented
132	#15689274	C₂²	1	1	yes	characteristic, complemented
133	#15689274	C₂²	1	1	yes	characteristic, complemented
134	#15689273	C₂²	1	1	yes	characteristic, complemented
135	#15689268	C₂²	1	1	yes	characteristic, complemented
136	#15689268	C₂²	1	1	yes	characteristic, complemented
137	#15689268	C₂²	1	1	yes	characteristic, complemented
138	#15689266	C₂²	1	1	yes	characteristic, complemented
139	#15689266	C₂²	1	1	yes	characteristic, complemented
140	#15689257	C₂²	1	1	yes	characteristic, complemented
141	#15689257	C₂²	1	1	yes	characteristic, complemented
142	#15689257	C₂²	1	1	yes	characteristic, complemented
143	#15689257	C₂²	1	1	yes	characteristic, complemented
144	#15689257	C₂²	1	1	yes	characteristic, complemented
145	#15689256	C₂²	1	1	yes	characteristic
146	#15689256	C₂²	1	1	yes	characteristic, complemented
147	#15689256	C₂²	1	1	yes	characteristic, complemented
148	#15689254	C₂²	1	1	yes	characteristic, complemented
149	#15689254	C₂²	1	1	yes	characteristic, complemented
150	#15689233	C₂²	1	1	yes	characteristic, complemented
151	#15689233	C₂²	1	1	yes	characteristic, complemented
152	#15689233	C₂²	1	1	yes	characteristic, complemented
153	#15689233	C₂²	1	1	yes	characteristic, complemented
154	#15689233	C₂²	1	1	yes	characteristic, complemented
155	#15689223	C₂²	1	1	yes	characteristic, complemented
156	#15689221	C₂²	1	1	yes	characteristic, complemented
157	#15689221	C₂²	1	1	yes	characteristic, complemented
158	C₄×#10625335	C₂²	1	1	yes	characteristic, complemented
159	C₄×#10625334	C₂²	1	1	yes	characteristic, complemented
160	C₄×#10625334	C₂²	1	1	yes	characteristic, complemented
161	C₄×#10625334	C₂²	1	1	yes	characteristic, complemented
162	#15689195	C₂²	1	1	yes	characteristic, complemented
163	#15689195	C₂²	1	1	yes	characteristic, complemented
164	#15689195	C₂²	1	1	yes	characteristic, complemented
165	#15689195	C₂²	1	1	yes	characteristic, complemented
166	D₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
167	D₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
168	#15689184	C₂²	1	1	yes	characteristic, complemented
169	#15689184	C₂²	1	1	yes	characteristic, complemented
170	#15689180	C₂²	1	1	yes	characteristic, complemented
171	#15689150	C₂²	1	1	yes	characteristic, complemented
172	#15689150	C₂²	1	1	yes	characteristic, complemented
173	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
174	#15689128	C₂²	1	1	yes	characteristic, complemented
175	#15689124	C₂²	1	1	yes	characteristic, complemented
176	#15689119	C₂²	1	1	yes	characteristic, complemented
177	C₂×#13093945	C₂²	1	1	yes	characteristic, complemented
178	C₂×#13093945	C₂²	1	1	yes	characteristic, complemented
179	C₂×#13093945	C₂²	1	1	yes	characteristic, complemented
180	C₄₇×#560	—	2	1	no	—
181	C₄₇×#560	—	2	1	no	—
182	C₄₇×#559	C₂²	1	1	yes	characteristic, complemented
183	C₄₇×#550	C₂²	1	1	yes	characteristic, complemented
184	C₄₇×#550	C₂²	1	1	yes	characteristic, complemented
185	C₄₇×#546	—	2	1	no	—
186	C₄₇×#546	C₂²	1	1	yes	characteristic
187	C₄₇×#546	C₂²	1	1	yes	characteristic, complemented
188	D₄²×C₄₇	—	2	1	no	—
189	D₄²×C₄₇	C₂²	1	1	yes	characteristic
190	D₄²×C₄₇	C₂²	1	1	yes	characteristic, complemented
191	D₄²×C₄₇	C₂²	1	1	yes	characteristic, complemented
192	C₄₇×#540	—	2	1	no	—
193	C₄₇×#540	C₂²	1	1	yes	characteristic, complemented
194	C₄₇×#540	C₂²	1	1	yes	characteristic, complemented
195	C₄₇×#535	—	2	1	no	—
196	C₄₇×#535	C₂²	1	1	yes	characteristic, complemented
197	C₄₇×#535	C₂²	1	1	yes	characteristic, complemented
198	C₄₇×#534	—	2	1	no	—
199	C₄₇×#534	—	2	1	no	—
200	C₂×#127×C₄₇	C₂²	1	1	yes	characteristic, complemented
201	C₄₇×#529	C₂²	1	1	yes	characteristic
202	C₄₇×#529	C₂²	1	1	yes	characteristic, complemented
203	C₂×#10625350	C₂³	1	1	yes	characteristic
204	C₂×#10625352	—	2	1	no	—
205	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
206	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₄₇	—	2	1	no	—
208	C₂²×C₄×D₄₇	—	2	1	no	—
209	#13094050	—	4	2	no	—
210	#13094049	—	4	2	no	—
211	#13094044	—	4	2	no	—
212	C₂×#10625337	C₂³	1	1	yes	characteristic
213	C₂×#10625335	C₂³	1	1	yes	characteristic
214	C₂×#10625335	C₂³	1	1	yes	characteristic
215	C₂×#10625335	C₂³	1	1	yes	characteristic
216	C₂×#10625335	C₂³	1	1	yes	characteristic
217	C₂×#10625335	C₂³	1	1	yes	characteristic
218	C₂×#10625336	C₂³	1	1	yes	characteristic
219	C₂×#10625336	C₂³	1	1	yes	characteristic
220	C₂×#10625336	C₂³	1	1	yes	characteristic
221	C₂×#10625334	—	4	2	no	—
222	C₂×#10625334	—	4	2	no	—
223	C₂×#10625334	—	4	2	no	—
224	C₂×#10625334	C₂³	1	1	yes	characteristic
225	C₂×#10625334	C₂³	1	1	yes	characteristic
226	C₂×#10625334	C₂³	1	1	yes	characteristic
227	C₂×#10625334	C₂³	1	1	yes	characteristic
228	C₂×#10625334	C₂³	1	1	yes	characteristic
229	C₂×#10625334	C₂³	1	1	yes	characteristic
230	C₂×#10625334	C₂³	1	1	yes	characteristic
231	C₂×#10625334	C₂³	1	1	yes	characteristic
232	C₂×#10625334	C₂³	1	1	yes	characteristic
233	C₂×#10625334	C₂³	1	1	yes	characteristic
234	C₂×#10625334	C₂³	1	1	yes	characteristic
235	C₂×#10625334	C₂³	1	1	yes	characteristic
236	C₂×#10625334	C₂³	1	1	yes	characteristic
237	C₂×#10625334	C₂³	1	1	yes	characteristic
238	C₂×#10625334	C₂³	1	1	yes	characteristic
239	C₂×#10625329	C₂³	1	1	yes	characteristic
240	C₂×#10625329	C₂³	1	1	yes	characteristic
241	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
242	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
243	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
244	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
245	#13094024	C₂³	1	1	yes	characteristic
246	#13094021	C₂³	1	1	yes	characteristic
247	#13094019	—	2	1	no	—
248	#13094019	—	2	1	no	—
249	#13094018	—	2	1	no	—
250	#13094017	—	2	1	no	—
251	#13094016	C₂³	1	1	yes	characteristic
252	#13094016	C₂³	1	1	yes	characteristic
253	#13094014	—	2	1	no	—
254	#13094013	—	2	1	no	—
255	#13094012	C₂³	1	1	yes	characteristic
256	#13094012	C₂³	1	1	yes	characteristic
257	#13094010	—	2	1	no	—
258	#13094009	—	2	1	no	—
259	#13094009	—	2	1	no	—
260	#13094009	—	2	1	no	—
261	#13094009	—	2	1	no	—
262	#13094009	—	2	1	no	—
263	#13094009	—	2	1	no	—
264	#13094008	—	2	1	no	—
265	#13094008	—	2	1	no	—
266	#13094007	—	2	1	no	—
267	#13094006	—	2	1	no	—
268	#13094006	—	2	1	no	—
269	#13094005	—	2	1	no	—
270	#13094004	—	2	1	no	—
271	#13094003	C₂³	1	1	yes	characteristic
272	#13094003	C₂³	1	1	yes	characteristic
273	#13094002	—	2	1	no	—
274	#13094002	—	2	1	no	—
275	#13094002	—	2	1	no	—
276	#13094000	—	2	1	no	—
277	#13093999	—	2	1	no	—
278	#13093998	C₂³	1	1	yes	characteristic
279	#13093998	C₂³	1	1	yes	characteristic
280	#13093998	C₂³	1	1	yes	characteristic
281	#13093998	C₂³	1	1	yes	characteristic
282	#13093997	—	2	1	no	—
283	#13093997	—	2	1	no	—
284	#13093997	—	2	1	no	—
285	#13093997	—	2	1	no	—
286	#13093996	—	2	1	no	—
287	#13093994	—	2	1	no	—
288	#13093994	—	2	1	no	—
289	#13093992	—	2	1	no	—
290	#13093992	—	2	1	no	—
291	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
292	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
293	C₄×D₁₈₈	—	2	1	no	—
294	C₄×D₁₈₈	—	2	1	no	—
295	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
296	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
297	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
298	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
299	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
300	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
301	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
302	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
303	#13093986	—	2	1	no	—
304	#13093986	—	2	1	no	—
305	#13093986	—	2	1	no	—
306	C₄×C₂²⋊D₄₇	—	2	1	no	—
307	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
308	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
309	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
310	#13093983	C₂³	1	1	yes	characteristic
311	#13093982	—	2	1	no	—
312	#13093981	—	2	1	no	—
313	#13093980	—	2	1	no	—
314	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
315	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
316	C₄⋊C₄×D₄₇	—	2	1	no	—
317	C₄⋊C₄×D₄₇	—	2	1	no	—
318	C₂×(C₂×D₄₇)⋊C₄	—	2	1	no	—
319	C₂²⋊C₄×D₄₇	—	2	1	no	—
320	C₂²⋊C₄×D₄₇	—	2	1	no	—
321	C₂²⋊C₄×D₄₇	—	2	1	no	—
322	C₂²⋊C₄×D₄₇	—	2	1	no	—
323	#13093957	C₂³	1	1	yes	characteristic
324	#13093957	C₂³	1	1	yes	characteristic
325	#13093957	C₂³	1	1	yes	characteristic
326	#13093957	C₂³	1	1	yes	characteristic
327	#13093955	C₂³	1	1	yes	characteristic
328	#13093955	C₂³	1	1	yes	characteristic
329	#13093955	C₂³	1	1	yes	characteristic
330	#13093955	C₂³	1	1	yes	characteristic
331	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
332	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
333	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
334	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
335	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
336	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
337	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
338	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
339	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
340	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
341	#13093948	C₂³	1	1	yes	characteristic
342	#13093948	C₂³	1	1	yes	characteristic
343	#13093948	C₂³	1	1	yes	characteristic
344	#13093948	C₂³	1	1	yes	characteristic
345	#13093947	C₂³	1	1	yes	characteristic
346	#13093947	C₂³	1	1	yes	characteristic
347	#13093945	C₂³	1	1	yes	characteristic
348	#13093945	C₂³	1	1	yes	characteristic
349	#13093945	C₂³	1	1	yes	characteristic
350	#13093945	C₂³	1	1	yes	characteristic
351	#13093945	C₂³	1	1	yes	characteristic
352	#13093945	C₂³	1	1	yes	characteristic
353	#13093945	C₂³	1	1	yes	characteristic
354	#13093945	C₂³	1	1	yes	characteristic
355	#13093945	C₂³	1	1	yes	characteristic
356	#13093945	C₂³	1	1	yes	characteristic
357	#13093945	C₂³	1	1	yes	characteristic
358	#13093945	C₂³	1	1	yes	characteristic
359	#13093945	C₂³	1	1	yes	characteristic
360	#13093945	C₂³	1	1	yes	characteristic
361	#13093945	C₂³	1	1	yes	characteristic
362	#13093945	C₂³	1	1	yes	characteristic
363	#13093945	C₂³	1	1	yes	characteristic
364	#13093945	C₂³	1	1	yes	characteristic
365	#13093945	C₂³	1	1	yes	characteristic
366	#13093945	C₂³	1	1	yes	characteristic
367	#13093944	C₂³	1	1	yes	characteristic
368	#13093944	C₂³	1	1	yes	characteristic
369	#13093944	C₂³	1	1	yes	characteristic
370	#13093944	C₂³	1	1	yes	characteristic
371	#13093944	C₂³	1	1	yes	characteristic
372	#13093944	C₂³	1	1	yes	characteristic
373	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
374	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
375	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
376	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
377	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
378	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
379	#13093935	C₂³	1	1	yes	characteristic
380	#13093935	C₂³	1	1	yes	characteristic
381	#13093935	C₂³	1	1	yes	characteristic
382	#13093935	C₂³	1	1	yes	characteristic
383	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
384	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
385	C₂×#41×C₄₇	—	2	1	no	—
386	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
387	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
388	C₂²×D₄×C₄₇	—	2	1	no	—
389	C₂²×D₄×C₄₇	—	2	1	no	—
390	C₂²×D₄×C₄₇	—	2	1	no	—
391	C₂²×D₄×C₄₇	—	2	1	no	—
392	C₂²×D₄×C₄₇	—	2	1	no	—
393	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
394	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
395	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
396	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
397	#127×C₄₇	—	2	1	no	—
398	#127×C₄₇	—	2	1	no	—
399	#127×C₄₇	—	2	1	no	—
400	#127×C₄₇	C₂³	1	1	yes	characteristic
401	#127×C₄₇	C₂³	1	1	yes	characteristic
402	#127×C₄₇	C₂³	1	1	yes	characteristic
403	#127×C₄₇	C₂³	1	1	yes	characteristic
404	#127×C₄₇	C₂³	1	1	yes	characteristic
405	#127×C₄₇	C₂³	1	1	yes	characteristic
406	#126×C₄₇	—	2	1	no	—
407	#126×C₄₇	D₄	1	1	yes	characteristic
408	#126×C₄₇	D₄	1	1	yes	characteristic
409	#125×C₄₇	D₄	1	1	yes	characteristic
410	#125×C₄₇	C₂³	1	1	yes	characteristic
411	#124×C₄₇	—	2	1	no	—
412	#124×C₄₇	D₄	1	1	yes	characteristic
413	#124×C₄₇	C₂³	1	1	yes	characteristic
414	#124×C₄₇	C₂³	1	1	yes	characteristic
415	#124×C₄₇	C₂³	1	1	yes	characteristic
416	#123×C₄₇	—	2	1	no	—
417	#123×C₄₇	—	2	1	no	—
418	#123×C₄₇	—	2	1	no	—
419	#123×C₄₇	—	2	1	no	—
420	#123×C₄₇	—	2	1	no	—
421	#123×C₄₇	—	2	1	no	—
422	#123×C₄₇	—	2	1	no	—
423	#123×C₄₇	—	2	1	no	—
424	#123×C₄₇	—	2	1	no	—
425	#123×C₄₇	D₄	1	1	yes	characteristic
426	#123×C₄₇	D₄	1	1	yes	characteristic
427	C₂²⋊Q₈×C₄₇	D₄	1	1	yes	characteristic
428	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
429	#121×C₄₇	—	2	1	no	—
430	#121×C₄₇	—	2	1	no	—
431	#121×C₄₇	—	2	1	no	—
432	#121×C₄₇	—	2	1	no	—
433	#121×C₄₇	—	2	1	no	—
434	#121×C₄₇	—	2	1	no	—
435	#121×C₄₇	—	2	1	no	—
436	#121×C₄₇	—	2	1	no	—
437	#121×C₄₇	—	2	1	no	—
438	#121×C₄₇	—	2	1	no	—
439	#121×C₄₇	—	2	1	no	—
440	#121×C₄₇	—	2	1	no	—
441	#121×C₄₇	—	2	1	no	—
442	#121×C₄₇	—	2	1	no	—
443	#121×C₄₇	—	2	1	no	—
444	#121×C₄₇	—	2	1	no	—
445	#121×C₄₇	—	2	1	no	—
446	#121×C₄₇	—	2	1	no	—
447	#121×C₄₇	D₄	1	1	yes	characteristic
448	#121×C₄₇	C₂³	1	1	yes	characteristic
449	#121×C₄₇	C₂³	1	1	yes	characteristic
450	#121×C₄₇	C₂³	1	1	yes	characteristic
451	#121×C₄₇	C₂³	1	1	yes	characteristic
452	#121×C₄₇	C₂³	1	1	yes	characteristic
453	#120×C₄₇	—	2	1	no	—
454	#120×C₄₇	—	2	1	no	—
455	#120×C₄₇	—	2	1	no	—
456	#120×C₄₇	—	2	1	no	—
457	#120×C₄₇	—	2	1	no	—
458	#120×C₄₇	—	2	1	no	—
459	#120×C₄₇	—	2	1	no	—
460	#120×C₄₇	—	2	1	no	—
461	#120×C₄₇	—	2	1	no	—
462	#120×C₄₇	—	2	1	no	—
463	#120×C₄₇	—	2	1	no	—
464	#120×C₄₇	—	2	1	no	—
465	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
466	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
467	C₄×D₄×C₄₇	—	2	1	no	—
468	C₄×D₄×C₄₇	—	2	1	no	—
469	C₄×D₄×C₄₇	—	2	1	no	—
470	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
471	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
472	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
473	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
474	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
475	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
476	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
477	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
478	#117×C₄₇	—	2	1	no	—
479	#117×C₄₇	C₂³	1	1	yes	characteristic
480	#117×C₄₇	C₂³	1	1	yes	characteristic
481	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
482	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
483	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
484	C₂⁴×C₄₇	—	2	1	no	—
485	C₂⁴×C₄₇	—	2	1	no	—
486	C₂⁴×C₄₇	—	2	1	no	—
487	C₂⁴×C₄₇	—	2	1	no	—
488	C₂³×D₄₇	—	2	1	no	—
489	C₂³×D₄₇	—	2	1	no	—
490	#41×C₄₇	—	4	1	no	—
491	#41×C₄₇	—	4	1	no	—
492	#41×C₄₇	—	4	1	no	—
493	#41×C₄₇	—	4	1	no	—
494	#41×C₄₇	—	8	2	no	—
495	C₂×Q₈×C₄₇	C₂×D₄	1	1	yes	characteristic
496	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₄₇	—	2	1	no	—
498	C₂×D₄×C₄₇	—	2	1	no	—
499	C₂×D₄×C₄₇	—	2	1	no	—
500	C₂×D₄×C₄₇	—	2	1	no	—
501	C₂×D₄×C₄₇	—	2	1	no	—
502	C₂×D₄×C₄₇	—	2	1	no	—
503	C₂×D₄×C₄₇	—	2	1	no	—
504	C₂×D₄×C₄₇	—	2	1	no	—
505	C₂×D₄×C₄₇	—	2	1	no	—
506	C₂×D₄×C₄₇	—	2	1	no	—
507	C₂×D₄×C₄₇	—	2	1	no	—
508	C₂×D₄×C₄₇	—	2	1	no	—
509	C₂×D₄×C₄₇	—	2	1	no	—
510	C₂×D₄×C₄₇	—	2	1	no	—
511	C₂×D₄×C₄₇	—	2	1	no	—
512	C₂×D₄×C₄₇	—	2	1	no	—
513	C₂×D₄×C₄₇	—	2	1	no	—
514	C₂×D₄×C₄₇	—	2	1	no	—
515	C₂×D₄×C₄₇	—	2	1	no	—
516	C₂×D₄×C₄₇	—	2	1	no	—
517	C₂×D₄×C₄₇	—	2	1	no	—
518	C₂×D₄×C₄₇	—	2	1	no	—
519	C₂×D₄×C₄₇	—	2	1	no	—
520	C₂×D₄×C₄₇	—	4	1	no	—
521	C₂×D₄×C₄₇	—	4	1	no	—
522	C₂×D₄×C₄₇	—	4	1	no	—
523	C₂×D₄×C₄₇	—	4	1	no	—
524	C₂×D₄×C₄₇	—	4	1	no	—
525	C₂×D₄×C₄₇	—	4	1	no	—
526	C₂×D₄×C₄₇	—	4	1	no	—
527	C₂×D₄×C₄₇	—	4	1	no	—
528	C₂×D₄×C₄₇	—	8	2	no	—
529	C₂×D₄×C₄₇	—	8	2	no	—
530	C₂×D₄×C₄₇	—	8	2	no	—
531	C₂×D₄×C₄₇	—	8	2	no	—
532	C₂×D₄×C₄₇	—	8	2	no	—
533	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
534	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
535	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
536	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
537	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
538	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
539	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
540	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₄₇	—	2	1	no	—
542	C₂²×C₄×C₄₇	—	2	1	no	—
543	C₂²×C₄×C₄₇	—	2	1	no	—
544	C₂²×C₄×C₄₇	—	2	1	no	—
545	C₂²×C₄×C₄₇	—	2	1	no	—
546	C₂²×C₄×C₄₇	—	2	1	no	—
547	C₂²×C₄×C₄₇	—	2	1	no	—
548	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
549	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
550	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
553	C₂×C₂²⋊D₄₇	—	2	1	no	—
554	C₂×C₂²⋊D₄₇	—	2	1	no	—
555	C₂×C₂²⋊D₄₇	—	2	1	no	—
556	C₂×C₂²⋊D₄₇	—	2	1	no	—
557	C₂×C₂²⋊D₄₇	—	2	1	no	—
558	C₂²×Dic₄₇	—	2	1	no	—
559	C₂²×Dic₄₇	—	2	1	no	—
560	#10625352	—	8	2	no	—
561	D₄×D₄₇	—	8	2	no	—
562	#10625350	—	2	2	no	—
563	#10625350	—	4	1	no	—
564	C₂×D₁₈₈	—	2	2	no	—
565	C₂×D₁₈₈	—	2	2	no	—
566	C₂×D₁₈₈	—	2	1	no	—
567	C₂×D₁₈₈	—	2	1	no	—
568	C₂×D₁₈₈	—	2	1	no	—
569	C₂×D₁₈₈	—	2	1	no	—
570	C₂×D₁₈₈	—	4	1	no	—
571	C₂×D₁₈₈	—	4	1	no	—
572	C₂×D₁₈₈	C₂⁴	1	1	yes	characteristic
573	C₂×D₁₈₈	C₂⁴	1	1	yes	characteristic
574	C₂×D₁₈₈	C₂⁴	1	1	yes	characteristic
575	C₂×C₄×D₄₇	—	2	1	no	—
576	C₂×C₄×D₄₇	—	2	1	no	—
577	C₂×C₄×D₄₇	—	2	1	no	—
578	C₂×C₄×D₄₇	—	2	1	no	—
579	C₂×C₄×D₄₇	—	2	1	no	—
580	C₂×C₄×D₄₇	—	2	1	no	—
581	C₂×C₄×D₄₇	—	2	1	no	—
582	C₂×C₄×D₄₇	—	2	1	no	—
583	C₂×C₄×D₄₇	—	2	1	no	—
584	C₂×C₄×D₄₇	—	8	2	no	—
585	C₂×Dic₉₄	—	2	1	no	—
586	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
587	C₄⋊C₄×C₄₇	—	2	1	no	—
588	C₄⋊C₄×C₄₇	—	2	1	no	—
589	C₄⋊C₄×C₄₇	—	2	1	no	—
590	C₄⋊C₄×C₄₇	—	2	1	no	—
591	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
592	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
593	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
594	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
595	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
596	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
597	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
598	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
599	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
600	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
601	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
602	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
603	C₂²⋊C₄×C₄₇	—	2	1	no	—
604	C₂²⋊C₄×C₄₇	—	2	1	no	—
605	C₂²⋊C₄×C₄₇	—	2	1	no	—
606	C₂²⋊C₄×C₄₇	—	2	1	no	—
607	C₂²⋊C₄×C₄₇	—	2	1	no	—
608	C₂²⋊C₄×C₄₇	—	2	1	no	—
609	C₂²⋊C₄×C₄₇	—	2	1	no	—
610	C₂²⋊C₄×C₄₇	—	2	1	no	—
611	C₂²⋊C₄×C₄₇	—	2	1	no	—
612	C₂²⋊C₄×C₄₇	—	2	1	no	—
613	C₂²⋊C₄×C₄₇	—	2	1	no	—
614	C₂²⋊C₄×C₄₇	—	2	1	no	—
615	C₂²⋊C₄×C₄₇	—	2	1	no	—
616	C₂²⋊C₄×C₄₇	—	2	1	no	—
617	C₂²⋊C₄×C₄₇	—	2	1	no	—
618	C₂²⋊C₄×C₄₇	—	2	1	no	—
619	C₂²⋊C₄×C₄₇	—	2	1	no	—
620	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
621	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
622	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
623	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
624	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
625	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
626	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
627	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
628	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
629	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
630	C₄²×C₄₇	—	2	1	no	—
631	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
632	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
633	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
634	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
635	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
636	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
637	C₂²⋊Dic₄₇	—	2	1	no	—
638	C₂²⋊Dic₄₇	—	2	1	no	—
639	C₂²⋊Dic₄₇	—	2	1	no	—
640	#10625337	—	4	1	no	—
641	#10625336	—	2	2	no	—
642	#10625336	—	4	1	no	—
643	#10625336	—	4	1	no	—
644	#10625335	—	4	1	no	—
645	#10625335	—	4	1	no	—
646	#10625335	—	4	1	no	—
647	#10625335	—	4	1	no	—
648	#10625335	—	4	1	no	—
649	#10625334	—	2	2	no	—
650	#10625334	—	2	2	no	—
651	#10625334	—	2	2	no	—
652	#10625334	—	2	2	no	—
653	#10625334	—	2	2	no	—
654	#10625334	—	4	1	no	—
655	#10625334	—	4	1	no	—
656	#10625334	—	4	1	no	—
657	#10625334	—	4	1	no	—
658	#10625334	—	4	1	no	—
659	#10625334	—	4	1	no	—
660	#10625334	—	4	1	no	—
661	#10625334	—	4	1	no	—
662	#10625334	—	4	1	no	—
663	#10625334	—	4	1	no	—
664	(C₂×D₄₇)⋊C₄	—	2	1	no	—
665	(C₂×D₄₇)⋊C₄	—	2	1	no	—
666	(C₂×D₄₇)⋊C₄	—	2	1	no	—
667	(C₂×D₄₇)⋊C₄	—	2	1	no	—
668	(C₂×D₄₇)⋊C₄	—	2	1	no	—
669	(C₂×D₄₇)⋊C₄	—	2	1	no	—
670	(C₂×D₄₇)⋊C₄	—	2	1	no	—
671	(C₂×D₄₇)⋊C₄	—	2	1	no	—
672	(C₂×D₄₇)⋊C₄	—	2	1	no	—
673	(C₂×D₄₇)⋊C₄	—	2	1	no	—
674	(C₂×D₄₇)⋊C₄	—	2	1	no	—
675	(C₂×D₄₇)⋊C₄	—	2	1	no	—
676	(C₂×D₄₇)⋊C₄	—	2	1	no	—
677	(C₂×D₄₇)⋊C₄	—	2	1	no	—
678	(C₂×D₄₇)⋊C₄	—	2	1	no	—
679	(C₂×D₄₇)⋊C₄	—	2	1	no	—
680	C₄⋊Dic₄₇	—	2	1	no	—
681	C₄⋊Dic₄₇	—	2	1	no	—
682	C₄⋊Dic₄₇	—	2	1	no	—
683	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
684	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
685	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
686	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
687	Dic₄₇⋊C₄	—	2	1	no	—
688	Dic₄₇⋊C₄	—	2	1	no	—
689	Dic₄₇⋊C₄	—	2	1	no	—
690	Dic₄₇⋊C₄	—	2	1	no	—
691	Dic₄₇⋊C₄	—	2	1	no	—
692	Dic₄₇⋊C₄	—	2	1	no	—
693	Dic₄₇⋊C₄	—	2	1	no	—
694	Dic₄₇⋊C₄	—	2	1	no	—
695	C₄×Dic₄₇	—	2	1	no	—
696	C₄×Dic₄₇	—	2	1	no	—
697	C₄×Dic₄₇	—	2	1	no	—
698	#10625329	—	4	1	no	—
699	#10625329	—	4	1	no	—
700	C₂×C₄₇⋊C₈	—	4	1	no	—
701	C₂×C₄₇⋊C₈	—	4	1	no	—
702	C₂×C₄₇⋊C₈	—	4	1	no	—
703	C₂×C₄₇⋊C₈	—	4	1	no	—
704	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
705	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
706	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
707	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
708	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
709	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
710	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
711	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
712	C₂³×C₄₇	—	2	1	no	—
713	C₂³×C₄₇	—	2	1	no	—
714	C₂³×C₄₇	—	2	1	no	—
715	C₂³×C₄₇	—	2	1	no	—
716	C₂³×C₄₇	—	2	1	no	—
717	C₂³×C₄₇	—	4	2	no	—
718	C₂³×C₄₇	—	4	2	no	—
719	C₂³×C₄₇	—	8	1	no	—
720	C₂³×C₄₇	—	8	1	no	—
721	C₂³×C₄₇	—	8	1	no	—
722	C₂³×C₄₇	—	8	1	no	—
723	C₂³×C₄₇	—	8	1	no	—
724	C₂³×C₄₇	—	8	1	no	—
725	C₂³×C₄₇	—	8	1	no	—
726	C₂³×C₄₇	—	8	1	no	—
727	C₂³×C₄₇	—	8	1	no	—
728	C₂³×C₄₇	—	8	1	no	—
729	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
730	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
731	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
732	C₂²×D₄₇	—	2	1	no	—
733	C₂²×D₄₇	—	2	1	no	—
734	C₂²×D₄₇	—	2	1	no	—
735	C₂²×D₄₇	—	4	2	no	—
736	C₂²×D₄₇	—	4	2	no	—
737	C₂²×D₄₇	—	4	2	no	—
738	C₂²×D₄₇	—	8	1	no	—
739	C₂²×D₄₇	—	8	1	no	—
740	C₂²×D₄₇	—	8	1	no	—
741	Q₈×C₄₇	—	2	1	no	—
742	Q₈×C₄₇	—	2	1	no	—
743	Q₈×C₄₇	—	4	1	no	—
744	D₄×C₄₇	—	2	2	no	—
745	D₄×C₄₇	—	2	2	no	—
746	D₄×C₄₇	—	2	1	no	—
747	D₄×C₄₇	—	2	1	no	—
748	D₄×C₄₇	—	2	1	no	—
749	D₄×C₄₇	—	2	1	no	—
750	D₄×C₄₇	—	2	1	no	—
751	D₄×C₄₇	—	2	1	no	—
752	D₄×C₄₇	—	2	1	no	—
753	D₄×C₄₇	—	2	1	no	—
754	D₄×C₄₇	—	2	1	no	—
755	D₄×C₄₇	—	2	1	no	—
756	D₄×C₄₇	—	4	1	no	—
757	D₄×C₄₇	—	4	2	no	—
758	D₄×C₄₇	—	4	2	no	—
759	D₄×C₄₇	—	4	2	no	—
760	D₄×C₄₇	—	8	1	no	—
761	D₄×C₄₇	—	8	1	no	—
762	D₄×C₄₇	—	8	1	no	—
763	D₄×C₄₇	—	8	1	no	—
764	D₄×C₄₇	—	8	1	no	—
765	D₄×C₄₇	—	8	1	no	—
766	D₄×C₄₇	—	8	1	no	—
767	D₄×C₄₇	—	8	1	no	—
768	D₄×C₄₇	—	8	1	no	—
769	D₄×C₄₇	—	8	1	no	—
770	D₄×C₄₇	—	8	1	no	—
771	D₄×C₄₇	—	8	1	no	—
772	D₄×C₄₇	—	8	1	no	—
773	D₄×C₄₇	—	8	1	no	—
774	D₄×C₄₇	—	8	1	no	—
775	D₄×C₄₇	—	8	1	no	—
776	D₄×C₄₇	—	8	1	no	—
777	D₄×C₄₇	—	8	1	no	—
778	D₄×C₄₇	—	8	1	no	—
779	D₄×C₄₇	—	8	1	no	—
780	C₂×C₄×C₄₇	—	2	2	no	—
781	C₂×C₄×C₄₇	—	2	1	no	—
782	C₂×C₄×C₄₇	—	2	1	no	—
783	C₂×C₄×C₄₇	—	2	1	no	—
784	C₂×C₄×C₄₇	—	2	1	no	—
785	C₂×C₄×C₄₇	—	2	1	no	—
786	C₂×C₄×C₄₇	—	2	1	no	—
787	C₂×C₄×C₄₇	—	2	1	no	—
788	C₂×C₄×C₄₇	—	2	1	no	—
789	C₂×C₄×C₄₇	—	2	1	no	—
790	C₂×C₄×C₄₇	—	4	1	no	—
791	C₂×C₄×C₄₇	—	4	2	no	—
792	C₂×C₄×C₄₇	—	8	1	no	—
793	C₂×C₄×C₄₇	—	8	1	no	—
794	C₂×C₄×C₄₇	—	8	1	no	—
795	C₂×C₄×C₄₇	—	8	1	no	—
796	C₂×C₄×C₄₇	—	8	1	no	—
797	C₂×C₄×C₄₇	—	8	1	no	—
798	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
801	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
802	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
803	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
804	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
805	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
806	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
807	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
810	C₂²⋊D₄₇	—	4	2	no	—
811	C₂²⋊D₄₇	—	4	2	no	—
812	C₂²⋊D₄₇	—	8	1	no	—
813	C₂²⋊D₄₇	—	8	1	no	—
814	C₂²⋊D₄₇	—	8	1	no	—
815	C₂×Dic₄₇	—	2	1	no	—
816	C₂×Dic₄₇	—	2	1	no	—
817	C₂×Dic₄₇	—	2	1	no	—
818	C₂×Dic₄₇	—	2	1	no	—
819	C₂×Dic₄₇	—	2	1	no	—
820	C₂×Dic₄₇	—	4	2	no	—
821	C₂×Dic₄₇	—	8	1	no	—
822	D₁₈₈	—	2	1	no	—
823	D₁₈₈	—	2	1	no	—
824	D₁₈₈	—	2	1	no	—
825	D₁₈₈	—	2	1	no	—
826	D₁₈₈	—	2	1	no	—
827	D₁₈₈	—	4	2	no	—
828	D₁₈₈	—	4	2	no	—
829	D₁₈₈	—	8	1	no	—
830	D₁₈₈	—	8	1	no	—
831	D₁₈₈	H(5,𝔽₂)	1	2	yes	—
832	C₄×D₄₇	—	4	2	no	—
833	C₄×D₄₇	—	8	1	no	—
834	C₄×D₄₇	—	8	1	no	—
835	C₄×D₄₇	—	8	1	no	—
836	C₄×D₄₇	—	8	1	no	—
837	C₄×D₄₇	—	8	1	no	—
838	C₄×D₄₇	—	8	1	no	—
839	C₄×D₄₇	—	8	1	no	—
840	C₄×D₄₇	—	8	1	no	—
841	Dic₉₄	—	2	1	no	—
842	Dic₉₄	—	2	1	no	—
843	Dic₉₄	—	8	1	no	—
844	C₄₇⋊C₈	—	2	1	no	—
845	C₄₇⋊C₈	—	2	1	no	—
846	C₄₇⋊C₈	—	2	1	no	—
847	C₄₇⋊C₈	—	2	1	no	—
848	C₄₇⋊C₈	—	2	1	no	—
849	C₄₇⋊C₈	—	2	1	no	—
850	C₄₇⋊C₈	—	2	1	no	—
851	C₄₇⋊C₈	—	2	1	no	—
852	#62007	—	47	1	no	maximal, Sylow
853	C₂²×C₄₇	—	2	1	no	—
854	C₂²×C₄₇	—	2	1	no	—
855	C₂²×C₄₇	—	2	1	no	—
856	C₂²×C₄₇	—	2	1	no	—
857	C₂²×C₄₇	—	2	1	no	—
858	C₂²×C₄₇	—	2	1	no	—
859	C₂²×C₄₇	—	2	1	no	—
860	C₂²×C₄₇	—	2	1	no	—
861	C₂²×C₄₇	—	4	1	no	—
862	C₂²×C₄₇	—	4	1	no	—
863	C₂²×C₄₇	—	4	1	no	—
864	C₂²×C₄₇	—	4	1	no	—
865	C₂²×C₄₇	—	4	1	no	—
866	C₂²×C₄₇	—	4	1	no	—
867	C₂²×C₄₇	—	4	1	no	—
868	C₂²×C₄₇	—	4	1	no	—
869	C₂²×C₄₇	—	4	1	no	—
870	C₂²×C₄₇	—	4	1	no	—
871	C₂²×C₄₇	—	4	1	no	—
872	C₂²×C₄₇	—	4	1	no	—
873	C₂²×C₄₇	—	4	1	no	—
874	C₂²×C₄₇	—	4	1	no	—
875	C₂²×C₄₇	—	4	1	no	—
876	C₂²×C₄₇	—	16	2	no	—
877	C₂²×C₄₇	—	16	2	no	—
878	C₂²×C₄₇	—	16	2	no	—
879	C₂²×C₄₇	—	16	2	no	—
880	C₂²×C₄₇	#576	1	2	yes	—
881	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
882	C₂×D₄₇	—	2	2	no	—
883	C₂×D₄₇	—	4	1	no	—
884	C₂×D₄₇	—	4	1	no	—
885	C₂×D₄₇	—	4	1	no	—
886	C₂×D₄₇	—	4	1	no	—
887	C₂×D₄₇	—	4	1	no	—
888	C₂×D₄₇	—	4	1	no	—
889	C₂×D₄₇	—	4	1	no	—
890	C₂×D₄₇	—	4	1	no	—
891	C₂×D₄₇	—	8	4	no	—
892	C₂×D₄₇	—	16	2	no	—
893	C₄×C₄₇	—	2	1	no	—
894	C₄×C₄₇	—	2	1	no	—
895	C₄×C₄₇	—	2	1	no	—
896	C₄×C₄₇	—	2	1	no	—
897	C₄×C₄₇	—	2	1	no	—
898	C₄×C₄₇	—	2	1	no	—
899	C₄×C₄₇	—	2	1	no	—
900	C₄×C₄₇	—	2	1	no	—
901	C₄×C₄₇	—	2	1	no	—
902	C₄×C₄₇	—	2	1	no	—
903	C₄×C₄₇	—	2	1	no	—
904	C₄×C₄₇	—	4	1	no	—
905	C₄×C₄₇	—	4	1	no	—
906	C₄×C₄₇	—	4	1	no	—
907	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
908	C₄×C₄₇	#585	1	1	yes	characteristic
909	Dic₄₇	—	4	1	no	—
910	Dic₄₇	—	4	1	no	—
911	Dic₄₇	—	4	1	no	—
912	Dic₄₇	—	4	1	no	—
913	Dic₄₇	—	4	1	no	—
914	#3543	D₄₇	1	1	yes	characteristic, complemented
915	#3513	—	47	1	no	—
916	#3403	—	47	1	no	—
917	#3399	—	47	1	no	—
918	#3370	—	47	1	no	—
919	#3366	—	47	1	no	—
920	#3318	—	47	1	no	—
921	#3310	—	47	1	no	—
922	#3309	—	47	1	no	—
923	#3306	—	47	1	no	—
924	#3296	—	47	1	no	—
925	#3294	—	47	1	no	—
926	#3280	—	47	1	no	—
927	D₄×D₈	—	47	1	no	—
928	#3268	—	47	1	no	—
929	#3264	—	47	1	no	—
930	#3264	—	47	1	no	—
931	#3264	—	47	1	no	—
932	#3259	—	47	1	no	—
933	#3257	—	47	1	no	—
934	#3250	—	47	1	no	—
935	#3224	—	47	1	no	—
936	#3220	—	47	1	no	—
937	#3217	—	47	1	no	—
938	#3122	—	47	1	no	—
939	#3119	—	47	1	no	—
940	#3114	—	47	1	no	—
941	#3045	—	47	1	no	—
942	#3041	—	47	1	no	—
943	C₂×#459	—	47	1	no	—
944	#2992	—	47	1	no	—
945	C₂×C₄₇	—	2	2	no	—
946	C₂×C₄₇	—	4	1	no	—
947	C₂×C₄₇	—	4	1	no	—
948	C₂×C₄₇	—	8	1	no	—
949	C₂×C₄₇	—	8	1	no	—
950	C₂×C₄₇	—	8	1	no	—
951	C₂×C₄₇	—	8	1	no	—
952	C₂×C₄₇	—	8	1	no	—
953	C₂×C₄₇	#3488	1	1	yes	characteristic
954	C₂×C₄₇	C₂×#576	1	1	yes	characteristic
955	C₂×C₄₇	#3585	1	1	yes	characteristic
956	D₄₇	—	4	2	no	—
957	D₄₇	—	8	1	no	—
958	D₄₇	—	8	1	no	—
959	C₂×AGL(1,ℤ/8)	—	47	1	no	—
960	C₂×AGL(1,ℤ/8)	—	47	1	no	—
961	C₂×#135	—	47	1	no	—
962	C₂²×D₈	—	47	1	no	—
963	C₂²×D₈	—	47	1	no	—
964	C₂²×D₈	—	47	1	no	—
965	#560	—	2	1	no	—
966	#560	—	2	1	no	—
967	#559	—	47	1	no	—
968	#559	C₂×D₄₇	1	1	yes	characteristic, complemented
969	#554	—	47	1	no	—
970	#553	—	47	1	no	—
971	#553	—	94	1	no	—
972	#552	—	47	1	no	—
973	#551	—	94	1	no	—
974	#551	—	94	1	no	—
975	#550	C₂×D₄₇	1	1	yes	characteristic, complemented
976	#550	C₂×D₄₇	1	1	yes	characteristic, complemented
977	#547	—	47	1	no	—
978	#546	—	2	1	no	—
979	#546	—	47	1	no	—
980	#546	—	47	1	no	—
981	#546	—	94	1	no	—
982	#546	C₂×D₄₇	1	1	yes	characteristic
983	#546	C₂×D₄₇	1	1	yes	characteristic, complemented
984	D₄²	—	2	1	no	—
985	D₄²	—	47	1	no	—
986	D₄²	C₂×D₄₇	1	1	yes	characteristic
987	D₄²	C₂×D₄₇	1	1	yes	characteristic, complemented
988	D₄²	C₂×D₄₇	1	1	yes	characteristic, complemented
989	#542	—	47	1	no	—
990	#540	—	2	1	no	—
991	#540	—	47	1	no	—
992	#540	C₂×D₄₇	1	1	yes	characteristic, complemented
993	#540	C₂×D₄₇	1	1	yes	characteristic, complemented
994	#539	—	94	1	no	—
995	#538	—	94	1	no	—
996	#535	—	2	1	no	—
997	#535	C₂×D₄₇	1	1	yes	characteristic, complemented
998	#535	C₂×D₄₇	1	1	yes	characteristic, complemented
999	#534	—	2	1	no	—
1000	#534	—	2	1	no	—
1001	C₂×#127	C₂×D₄₇	1	1	yes	characteristic, complemented
1002	#529	—	47	1	no	—
1003	#529	C₂×D₄₇	1	1	yes	characteristic
1004	#529	C₂×D₄₇	1	1	yes	characteristic, complemented
1005	#525	—	94	1	no	—
1006	C₂×#123	—	94	1	no	—
1007	#520	—	47	1	no	—
1008	#518	—	47	1	no	—
1009	C₂×C₄×D₄	—	47	1	no	—
1010	#496	—	47	1	no	—
1011	#496	—	47	1	no	—
1012	#496	—	47	1	no	—
1013	#496	—	47	1	no	—
1014	#495	—	47	1	no	—
1015	#493	—	47	1	no	—
1016	#490	—	47	1	no	—
1017	#490	—	47	1	no	—
1018	#490	—	47	1	no	—
1019	#489	—	47	1	no	—
1020	#488	—	47	1	no	—
1021	#486	—	47	1	no	—
1022	#483	—	47	1	no	—
1023	#482	—	47	1	no	—
1024	#482	—	47	1	no	—
1025	#481	—	47	1	no	—
1026	#480	—	47	1	no	—
1027	#480	—	47	1	no	—
1028	#479	—	47	1	no	—
1029	#479	—	47	1	no	—
1030	#478	—	47	1	no	—
1031	#478	—	47	1	no	—
1032	#478	—	47	1	no	—
1033	#478	—	47	1	no	—
1034	#478	—	47	1	no	—
1035	#478	—	47	1	no	—
1036	#476	—	47	1	no	—
1037	#474	—	47	1	no	—
1038	#469	—	47	1	no	—
1039	#469	—	47	1	no	—
1040	#469	—	47	1	no	—
1041	#468	—	47	1	no	—
1042	#467	—	47	1	no	—
1043	#466	—	47	1	no	—
1044	#466	—	47	1	no	—
1045	#466	—	47	1	no	—
1046	#466	—	47	1	no	—
1047	#465	—	47	1	no	—
1048	#465	—	47	1	no	—
1049	#465	—	47	1	no	—
1050	#464	—	47	1	no	—
1051	#464	—	47	1	no	—
1052	#464	—	47	1	no	—
1053	#463	—	47	1	no	—
1054	#463	—	47	1	no	—
1055	#463	—	47	1	no	—
1056	#463	—	47	1	no	—
1057	#463	—	47	1	no	—
1058	#463	—	47	1	no	—
1059	#463	—	47	1	no	—
1060	#463	—	47	1	no	—
1061	#463	—	47	1	no	—
1062	#460	—	47	1	no	—
1063	#460	—	47	1	no	—
1064	#460	—	47	1	no	—
1065	#459	—	47	1	no	—
1066	#459	—	47	1	no	—
1067	#459	—	47	1	no	—
1068	#459	—	47	1	no	—
1069	#459	—	47	1	no	—
1070	#459	—	47	1	no	—
1071	#459	—	47	1	no	—
1072	#459	—	47	1	no	—
1073	#459	—	47	1	no	—
1074	#459	—	47	1	no	—
1075	#459	—	47	1	no	—
1076	#459	—	47	1	no	—
1077	#459	—	47	1	no	—
1078	#459	—	47	1	no	—
1079	#459	—	47	1	no	—
1080	#452	—	47	1	no	—
1081	#450	—	47	1	no	—
1082	#450	—	47	1	no	—
1083	#450	—	47	1	no	—
1084	#450	—	47	1	no	—
1085	#449	—	47	1	no	—
1086	#449	—	47	1	no	—
1087	#449	—	47	1	no	—
1088	#449	—	47	1	no	—
1089	#449	—	47	1	no	—
1090	#447	—	47	1	no	—
1091	#447	—	47	1	no	—
1092	#447	—	47	1	no	—
1093	#447	—	47	1	no	—
1094	#447	—	47	1	no	—
1095	#447	—	47	1	no	—
1096	#447	—	47	1	no	—
1097	#447	—	47	1	no	—
1098	#446	—	47	1	no	—
1099	#446	—	47	1	no	—
1100	#442	—	47	1	no	—
1101	#442	—	47	1	no	—
1102	#442	—	47	1	no	—
1103	#442	—	47	1	no	—
1104	#442	—	47	1	no	—
1105	#440	—	47	1	no	—
1106	#440	—	47	1	no	—
1107	#440	—	47	1	no	—
1108	C₄×SD₁₆	—	47	1	no	—
1109	C₄×D₈	—	47	1	no	—
1110	C₄×D₈	—	47	1	no	—
1111	C₄×D₈	—	47	1	no	—
1112	#435	—	47	1	no	—
1113	#435	—	47	1	no	—
1114	#435	—	47	1	no	—
1115	#435	—	47	1	no	—
1116	C₈×D₄	—	47	1	no	—
1117	C₈×D₄	—	47	1	no	—
1118	#433	—	47	1	no	—
1119	#433	—	47	1	no	—
1120	#432	—	47	1	no	—
1121	#424	—	47	1	no	—
1122	#424	—	47	1	no	—
1123	C₂×C₄⋊C₈	—	47	1	no	—
1124	#418	—	47	1	no	—
1125	#417	—	47	1	no	—
1126	#416	—	47	1	no	—
1127	C₂×#102	—	47	1	no	—
1128	C₂×#102	—	47	1	no	—
1129	C₂×#102	—	47	1	no	—
1130	C₄₇	#62007	1	1	yes	characteristic, complemented, Sylow
1131	C₂×#41	—	2	1	no	—
1132	C₂×#41	—	47	1	no	—
1133	C₂×#41	—	94	1	no	—
1134	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
1135	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
1136	C₂²×D₄	—	2	1	no	—
1137	C₂²×D₄	—	2	1	no	—
1138	C₂²×D₄	—	2	1	no	—
1139	C₂²×D₄	—	2	1	no	—
1140	C₂²×D₄	—	2	1	no	—
1141	C₂²×D₄	—	47	1	no	—
1142	C₂²×D₄	—	47	1	no	—
1143	C₂²×D₄	—	94	1	no	—
1144	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1145	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1146	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1147	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1148	C₂³×C₄	—	94	1	no	—
1149	AGL(1,ℤ/8)	—	188	2	no	—
1150	AGL(1,ℤ/8)	—	188	2	no	—
1151	#135	—	188	2	no	—
1152	C₂×Q₁₆	—	47	1	no	—
1153	C₂×SD₁₆	—	47	1	no	—
1154	C₂×SD₁₆	—	47	1	no	—
1155	C₂×SD₁₆	—	47	1	no	—
1156	C₂×SD₁₆	—	47	1	no	—
1157	C₂×SD₁₆	—	47	1	no	—
1158	C₂×SD₁₆	—	47	1	no	—
1159	C₂×SD₁₆	—	47	1	no	—
1160	C₂×SD₁₆	—	47	1	no	—
1161	C₂×D₈	—	47	1	no	—
1162	C₂×D₈	—	47	1	no	—
1163	C₂×D₈	—	47	1	no	—
1164	C₂×D₈	—	47	1	no	—
1165	C₂×D₈	—	47	1	no	—
1166	C₂×D₈	—	47	1	no	—
1167	C₂×D₈	—	47	1	no	—
1168	C₂×D₈	—	47	1	no	—
1169	C₂×D₈	—	47	1	no	—
1170	C₂×D₈	—	47	1	no	—
1171	C₂×D₈	—	47	1	no	—
1172	C₂×D₈	—	47	1	no	—
1173	C₂×D₈	—	47	1	no	—
1174	C₂×D₈	—	47	1	no	—
1175	C₂×D₈	—	47	1	no	—
1176	C₂×D₈	—	188	2	no	—
1177	C₂×D₈	—	188	2	no	—
1178	C₂×D₈	—	188	2	no	—
1179	C₂×M₁₆	—	47	1	no	—
1180	C₂×M₁₆	—	47	1	no	—
1181	C₂²×C₈	—	47	1	no	—
1182	C₂²×C₈	—	47	1	no	—
1183	C₂²×C₈	—	47	1	no	—
1184	C₂²×C₈	—	47	1	no	—
1185	C₄⋊Q₈	—	47	1	no	—
1186	#127	—	2	1	no	—
1187	#127	—	2	1	no	—
1188	#127	—	2	1	no	—
1189	#127	—	47	1	no	—
1190	#127	C₂²×D₄₇	1	1	yes	characteristic
1191	#127	C₂²×D₄₇	1	1	yes	characteristic
1192	#127	C₂²×D₄₇	1	1	yes	characteristic
1193	#127	C₂²×D₄₇	1	1	yes	characteristic
1194	#127	C₂²×D₄₇	1	1	yes	characteristic
1195	#127	C₂²×D₄₇	1	1	yes	characteristic
1196	#126	—	2	1	no	—
1197	#126	—	94	1	no	—
1198	#126	—	94	1	no	—
1199	#126	—	94	1	no	—
1200	#126	—	94	1	no	—
1201	#126	C₂²⋊D₄₇	1	1	yes	characteristic
1202	#126	C₂²⋊D₄₇	1	1	yes	characteristic
1203	#125	—	47	1	no	—
1204	#125	—	47	1	no	—
1205	#125	—	94	1	no	—
1206	#125	C₂²⋊D₄₇	1	1	yes	characteristic
1207	#125	C₂²×D₄₇	1	1	yes	characteristic
1208	#124	—	2	1	no	—
1209	#124	—	47	1	no	—
1210	#124	—	47	1	no	—
1211	#124	—	94	1	no	—
1212	#124	—	94	1	no	—
1213	#124	C₂²⋊D₄₇	1	1	yes	characteristic
1214	#124	C₂²×D₄₇	1	1	yes	characteristic
1215	#124	C₂²×D₄₇	1	1	yes	characteristic
1216	#124	C₂²×D₄₇	1	1	yes	characteristic
1217	#123	—	2	1	no	—
1218	#123	—	2	1	no	—
1219	#123	—	2	1	no	—
1220	#123	—	2	1	no	—
1221	#123	—	2	1	no	—
1222	#123	—	2	1	no	—
1223	#123	—	2	1	no	—
1224	#123	—	2	1	no	—
1225	#123	—	2	1	no	—
1226	#123	—	94	1	no	—
1227	#123	—	94	1	no	—
1228	#123	—	94	1	no	—
1229	#123	—	94	1	no	—
1230	#123	—	94	1	no	—
1231	#123	—	94	1	no	—
1232	#123	—	94	1	no	—
1233	#123	—	94	1	no	—
1234	#123	—	94	1	no	—
1235	#123	—	94	1	no	—
1236	#123	—	94	1	no	—
1237	#123	—	94	1	no	—
1238	#123	C₂²⋊D₄₇	1	1	yes	characteristic
1239	#123	C₂²⋊D₄₇	1	1	yes	characteristic
1240	C₂²⋊Q₈	—	47	1	no	—
1241	C₂²⋊Q₈	—	47	1	no	—
1242	C₂²⋊Q₈	—	94	1	no	—
1243	C₂²⋊Q₈	—	94	1	no	—
1244	C₂²⋊Q₈	—	94	1	no	—
1245	C₂²⋊Q₈	—	94	1	no	—
1246	C₂²⋊Q₈	—	94	1	no	—
1247	C₂²⋊Q₈	C₂²⋊D₄₇	1	1	yes	characteristic
1248	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1249	#121	—	2	1	no	—
1250	#121	—	2	1	no	—
1251	#121	—	2	1	no	—
1252	#121	—	2	1	no	—
1253	#121	—	2	1	no	—
1254	#121	—	2	1	no	—
1255	#121	—	2	1	no	—
1256	#121	—	2	1	no	—
1257	#121	—	2	1	no	—
1258	#121	—	2	1	no	—
1259	#121	—	2	1	no	—
1260	#121	—	2	1	no	—
1261	#121	—	2	1	no	—
1262	#121	—	2	1	no	—
1263	#121	—	2	1	no	—
1264	#121	—	2	1	no	—
1265	#121	—	2	1	no	—
1266	#121	—	2	1	no	—
1267	#121	—	47	1	no	—
1268	#121	—	47	1	no	—
1269	#121	—	47	1	no	—
1270	#121	—	47	1	no	—
1271	#121	—	94	1	no	—
1272	#121	—	94	1	no	—
1273	#121	—	94	1	no	—
1274	#121	—	94	1	no	—
1275	#121	—	94	1	no	—
1276	#121	—	94	1	no	—
1277	#121	C₂²⋊D₄₇	1	1	yes	characteristic
1278	#121	C₂²×D₄₇	1	1	yes	characteristic
1279	#121	C₂²×D₄₇	1	1	yes	characteristic
1280	#121	C₂²×D₄₇	1	1	yes	characteristic
1281	#121	C₂²×D₄₇	1	1	yes	characteristic
1282	#121	C₂²×D₄₇	1	1	yes	characteristic
1283	#120	—	2	1	no	—
1284	#120	—	2	1	no	—
1285	#120	—	2	1	no	—
1286	#120	—	2	1	no	—
1287	#120	—	2	1	no	—
1288	#120	—	2	1	no	—
1289	#120	—	2	1	no	—
1290	#120	—	2	1	no	—
1291	#120	—	2	1	no	—
1292	#120	—	2	1	no	—
1293	#120	—	2	1	no	—
1294	#120	—	2	1	no	—
1295	#120	—	94	1	no	—
1296	#120	—	94	1	no	—
1297	#120	—	94	1	no	—
1298	#120	—	94	1	no	—
1299	C₄×Q₈	—	47	1	no	—
1300	C₄×Q₈	—	47	1	no	—
1301	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
1302	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
1303	C₄×D₄	—	2	1	no	—
1304	C₄×D₄	—	2	1	no	—
1305	C₄×D₄	—	2	1	no	—
1306	C₄×D₄	—	47	1	no	—
1307	C₄×D₄	—	47	1	no	—
1308	C₄×D₄	—	47	1	no	—
1309	C₄×D₄	—	47	1	no	—
1310	C₄×D₄	—	47	1	no	—
1311	C₄×D₄	—	47	1	no	—
1312	C₄×D₄	—	47	1	no	—
1313	C₄×D₄	—	47	1	no	—
1314	C₄×D₄	—	94	1	no	—
1315	C₄×D₄	—	94	1	no	—
1316	C₄×D₄	—	94	1	no	—
1317	C₄×D₄	—	94	1	no	—
1318	C₄×D₄	—	94	1	no	—
1319	C₄×D₄	—	94	1	no	—
1320	C₄×D₄	—	94	1	no	—
1321	C₄×D₄	—	94	1	no	—
1322	C₄×D₄	—	94	1	no	—
1323	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1324	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1325	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1326	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1327	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1328	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1329	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1330	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1331	#117	—	2	1	no	—
1332	#117	—	47	1	no	—
1333	#117	—	94	1	no	—
1334	#117	—	94	1	no	—
1335	#117	—	94	1	no	—
1336	#117	C₂²×D₄₇	1	1	yes	characteristic
1337	#117	C₂²×D₄₇	1	1	yes	characteristic
1338	C₂×C₄⋊C₄	—	47	1	no	—
1339	C₂×C₄⋊C₄	—	47	1	no	—
1340	C₂×C₄⋊C₄	—	94	1	no	—
1341	C₂×C₄⋊C₄	—	94	1	no	—
1342	C₂×C₂²⋊C₄	—	2	1	no	—
1343	C₂×C₂²⋊C₄	—	2	1	no	—
1344	C₂×C₂²⋊C₄	—	94	1	no	—
1345	C₂×C₂²⋊C₄	—	94	1	no	—
1346	C₂×C₂²⋊C₄	—	94	1	no	—
1347	C₂×C₂²⋊C₄	—	94	1	no	—
1348	C₂×C₂²⋊C₄	—	94	1	no	—
1349	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1350	#107	—	47	1	no	—
1351	#107	—	47	1	no	—
1352	#107	—	47	1	no	—
1353	#107	—	47	1	no	—
1354	#106	—	47	1	no	—
1355	#106	—	47	1	no	—
1356	#106	—	47	1	no	—
1357	#106	—	47	1	no	—
1358	C₄⋊C₈	—	47	1	no	—
1359	C₄⋊C₈	—	47	1	no	—
1360	C₄⋊C₈	—	47	1	no	—
1361	C₄⋊C₈	—	47	1	no	—
1362	C₄⋊C₈	—	47	1	no	—
1363	C₄⋊C₈	—	47	1	no	—
1364	C₄⋊C₈	—	47	1	no	—
1365	C₄⋊C₈	—	47	1	no	—
1366	C₄⋊C₈	—	47	1	no	—
1367	C₄⋊C₈	—	47	1	no	—
1368	#103	—	47	1	no	—
1369	#103	—	47	1	no	—
1370	#103	—	47	1	no	—
1371	#103	—	47	1	no	—
1372	#103	—	47	1	no	—
1373	#103	—	47	1	no	—
1374	#102	—	47	1	no	—
1375	#102	—	47	1	no	—
1376	#102	—	47	1	no	—
1377	#102	—	47	1	no	—
1378	#102	—	47	1	no	—
1379	#102	—	47	1	no	—
1380	#102	—	47	1	no	—
1381	#102	—	47	1	no	—
1382	#102	—	47	1	no	—
1383	#102	—	47	1	no	—
1384	#102	—	47	1	no	—
1385	#102	—	47	1	no	—
1386	#102	—	47	1	no	—
1387	#102	—	47	1	no	—
1388	#102	—	47	1	no	—
1389	#102	—	47	1	no	—
1390	#102	—	47	1	no	—
1391	#102	—	47	1	no	—
1392	#102	—	47	1	no	—
1393	#102	—	47	1	no	—
1394	#102	—	47	1	no	—
1395	#102	—	47	1	no	—
1396	#102	—	47	1	no	—
1397	#102	—	47	1	no	—
1398	#102	—	47	1	no	—
1399	#102	—	47	1	no	—
1400	C₂²⋊C₈	—	47	1	no	—
1401	C₂²⋊C₈	—	47	1	no	—
1402	C₂²⋊C₈	—	47	1	no	—
1403	C₂²⋊C₈	—	47	1	no	—
1404	C₂²⋊C₈	—	47	1	no	—
1405	C₂²⋊C₈	—	47	1	no	—
1406	#97	—	47	1	no	—
1407	#97	—	47	1	no	—
1408	#97	—	47	1	no	—
1409	#97	—	47	1	no	—
1410	C₄×C₈	—	47	1	no	—
1411	C₄×C₈	—	47	1	no	—
1412	C₂⁴	—	2	1	no	—
1413	C₂⁴	—	2	1	no	—
1414	C₂⁴	—	2	1	no	—
1415	C₂⁴	—	2	1	no	—
1416	C₂⁴	—	94	1	no	—
1417	C₂⁴	—	94	1	no	—
1418	#41	—	4	1	no	—
1419	#41	—	4	1	no	—
1420	#41	—	4	1	no	—
1421	#41	—	4	1	no	—
1422	#41	—	8	2	no	—
1423	#41	—	94	2	no	—
1424	#41	—	376	2	no	—
1425	#41	—	188	1	no	—
1426	C₂×Q₈	—	47	1	no	—
1427	C₂×Q₈	—	94	1	no	—
1428	C₂×Q₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1429	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
1430	C₂×D₄	—	2	1	no	—
1431	C₂×D₄	—	2	1	no	—
1432	C₂×D₄	—	2	1	no	—
1433	C₂×D₄	—	2	1	no	—
1434	C₂×D₄	—	2	1	no	—
1435	C₂×D₄	—	2	1	no	—
1436	C₂×D₄	—	2	1	no	—
1437	C₂×D₄	—	2	1	no	—
1438	C₂×D₄	—	2	1	no	—
1439	C₂×D₄	—	2	1	no	—
1440	C₂×D₄	—	2	1	no	—
1441	C₂×D₄	—	2	1	no	—
1442	C₂×D₄	—	2	1	no	—
1443	C₂×D₄	—	2	1	no	—
1444	C₂×D₄	—	2	1	no	—
1445	C₂×D₄	—	2	1	no	—
1446	C₂×D₄	—	2	1	no	—
1447	C₂×D₄	—	2	1	no	—
1448	C₂×D₄	—	2	1	no	—
1449	C₂×D₄	—	2	1	no	—
1450	C₂×D₄	—	2	1	no	—
1451	C₂×D₄	—	2	1	no	—
1452	C₂×D₄	—	2	1	no	—
1453	C₂×D₄	—	4	1	no	—
1454	C₂×D₄	—	4	1	no	—
1455	C₂×D₄	—	4	1	no	—
1456	C₂×D₄	—	4	1	no	—
1457	C₂×D₄	—	4	1	no	—
1458	C₂×D₄	—	4	1	no	—
1459	C₂×D₄	—	4	1	no	—
1460	C₂×D₄	—	4	1	no	—
1461	C₂×D₄	—	8	2	no	—
1462	C₂×D₄	—	8	2	no	—
1463	C₂×D₄	—	8	2	no	—
1464	C₂×D₄	—	8	2	no	—
1465	C₂×D₄	—	8	2	no	—
1466	C₂×D₄	—	47	1	no	—
1467	C₂×D₄	—	47	1	no	—
1468	C₂×D₄	—	47	1	no	—
1469	C₂×D₄	—	94	2	no	—
1470	C₂×D₄	—	94	2	no	—
1471	C₂×D₄	—	94	1	no	—
1472	C₂×D₄	—	94	1	no	—
1473	C₂×D₄	—	94	1	no	—
1474	C₂×D₄	—	94	1	no	—
1475	C₂×D₄	—	94	1	no	—
1476	C₂×D₄	—	94	1	no	—
1477	C₂×D₄	—	94	1	no	—
1478	C₂×D₄	—	94	1	no	—
1479	C₂×D₄	—	94	1	no	—
1480	C₂×D₄	—	376	2	no	—
1481	C₂×D₄	—	188	1	no	—
1482	C₂×D₄	—	188	1	no	—
1483	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1484	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1485	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1486	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1487	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1488	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1489	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1490	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
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	—	94	1	no	—
1499	C₂²×C₄	—	94	1	no	—
1500	C₂²×C₄	—	94	1	no	—
1501	C₂²×C₄	—	94	1	no	—
1502	C₂²×C₄	—	94	1	no	—
1503	C₂²×C₄	—	94	1	no	—
1504	C₂²×C₄	—	94	1	no	—
1505	C₂²×C₄	—	94	1	no	—
1506	C₂²×C₄	—	94	1	no	—
1507	C₂²×C₄	—	94	1	no	—
1508	C₂²×C₄	—	94	1	no	—
1509	C₂²×C₄	—	376	2	no	—
1510	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1511	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1512	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1513	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1514	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1515	Q₁₆	—	188	1	no	—
1516	SD₁₆	—	94	2	no	—
1517	SD₁₆	—	188	1	no	—
1518	SD₁₆	—	188	1	no	—
1519	SD₁₆	—	188	1	no	—
1520	SD₁₆	—	188	1	no	—
1521	SD₁₆	—	188	1	no	—
1522	SD₁₆	—	188	1	no	—
1523	SD₁₆	—	188	1	no	—
1524	D₈	—	94	2	no	—
1525	D₈	—	94	2	no	—
1526	D₈	—	94	2	no	—
1527	D₈	—	94	2	no	—
1528	D₈	—	94	2	no	—
1529	D₈	—	188	1	no	—
1530	D₈	—	188	1	no	—
1531	D₈	—	188	1	no	—
1532	D₈	—	188	1	no	—
1533	D₈	—	188	1	no	—
1534	D₈	—	188	1	no	—
1535	D₈	—	188	1	no	—
1536	D₈	—	188	1	no	—
1537	D₈	—	188	1	no	—
1538	D₈	—	188	1	no	—
1539	M₁₆	—	188	1	no	—
1540	M₁₆	—	188	1	no	—
1541	C₂×C₈	—	47	1	no	—
1542	C₂×C₈	—	47	1	no	—
1543	C₂×C₈	—	47	1	no	—
1544	C₂×C₈	—	47	1	no	—
1545	C₂×C₈	—	47	1	no	—
1546	C₂×C₈	—	47	1	no	—
1547	C₂×C₈	—	47	1	no	—
1548	C₂×C₈	—	47	1	no	—
1549	C₂×C₈	—	188	1	no	—
1550	C₂×C₈	—	188	1	no	—
1551	C₂×C₈	—	188	1	no	—
1552	C₂×C₈	—	188	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	—	2	1	no	—
1556	C₄⋊C₄	—	2	1	no	—
1557	C₄⋊C₄	—	47	1	no	—
1558	C₄⋊C₄	—	47	1	no	—
1559	C₄⋊C₄	—	47	1	no	—
1560	C₄⋊C₄	—	47	1	no	—
1561	C₄⋊C₄	—	94	1	no	—
1562	C₄⋊C₄	—	94	1	no	—
1563	C₄⋊C₄	—	94	1	no	—
1564	C₄⋊C₄	—	94	1	no	—
1565	C₄⋊C₄	—	94	1	no	—
1566	C₄⋊C₄	—	94	1	no	—
1567	C₄⋊C₄	—	94	1	no	—
1568	C₄⋊C₄	—	94	1	no	—
1569	C₄⋊C₄	—	94	1	no	—
1570	C₄⋊C₄	—	94	1	no	—
1571	C₄⋊C₄	—	94	1	no	—
1572	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1573	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1574	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1575	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1576	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1577	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1578	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1579	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1580	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1581	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1582	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1583	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	94	1	no	—
1602	C₂²⋊C₄	—	94	1	no	—
1603	C₂²⋊C₄	—	94	1	no	—
1604	C₂²⋊C₄	—	94	1	no	—
1605	C₂²⋊C₄	—	94	1	no	—
1606	C₂²⋊C₄	—	94	1	no	—
1607	C₂²⋊C₄	—	94	1	no	—
1608	C₂²⋊C₄	—	94	1	no	—
1609	C₂²⋊C₄	—	94	1	no	—
1610	C₂²⋊C₄	—	94	1	no	—
1611	C₂²⋊C₄	—	94	1	no	—
1612	C₂²⋊C₄	—	94	1	no	—
1613	C₂²⋊C₄	—	94	1	no	—
1614	C₂²⋊C₄	—	94	1	no	—
1615	C₂²⋊C₄	—	94	1	no	—
1616	C₂²⋊C₄	—	94	1	no	—
1617	C₂²⋊C₄	—	94	1	no	—
1618	C₂²⋊C₄	—	94	1	no	—
1619	C₂²⋊C₄	—	94	1	no	—
1620	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1621	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1622	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1623	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1624	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1625	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1626	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1627	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1628	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1629	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1630	C₄²	—	2	1	no	—
1631	C₄²	—	94	1	no	—
1632	C₄²	—	94	1	no	—
1633	C₄²	—	94	1	no	—
1634	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1635	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1636	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1637	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1638	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1639	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1640	C₂³	—	2	1	no	—
1641	C₂³	—	2	1	no	—
1642	C₂³	—	2	1	no	—
1643	C₂³	—	2	1	no	—
1644	C₂³	—	2	1	no	—
1645	C₂³	—	4	2	no	—
1646	C₂³	—	4	2	no	—
1647	C₂³	—	8	1	no	—
1648	C₂³	—	8	1	no	—
1649	C₂³	—	8	1	no	—
1650	C₂³	—	8	1	no	—
1651	C₂³	—	8	1	no	—
1652	C₂³	—	8	1	no	—
1653	C₂³	—	8	1	no	—
1654	C₂³	—	8	1	no	—
1655	C₂³	—	8	1	no	—
1656	C₂³	—	8	1	no	—
1657	C₂³	—	94	1	no	—
1658	C₂³	—	94	1	no	—
1659	C₂³	—	94	1	no	—
1660	C₂³	—	376	1	no	—
1661	C₂³	—	376	1	no	—
1662	C₂³	—	376	1	no	—
1663	C₂³	—	188	2	no	—
1664	C₂³	—	188	2	no	—
1665	C₂³	—	188	2	no	—
1666	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1667	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1668	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1669	Q₈	—	2	1	no	—
1670	Q₈	—	2	1	no	—
1671	Q₈	—	4	1	no	—
1672	Q₈	—	94	1	no	—
1673	Q₈	—	94	1	no	—
1674	Q₈	—	376	1	no	—
1675	D₄	—	2	2	no	—
1676	D₄	—	2	2	no	—
1677	D₄	—	2	1	no	—
1678	D₄	—	2	1	no	—
1679	D₄	—	2	1	no	—
1680	D₄	—	2	1	no	—
1681	D₄	—	2	1	no	—
1682	D₄	—	2	1	no	—
1683	D₄	—	2	1	no	—
1684	D₄	—	2	1	no	—
1685	D₄	—	2	1	no	—
1686	D₄	—	2	1	no	—
1687	D₄	—	4	1	no	—
1688	D₄	—	4	2	no	—
1689	D₄	—	4	2	no	—
1690	D₄	—	4	2	no	—
1691	D₄	—	8	1	no	—
1692	D₄	—	8	1	no	—
1693	D₄	—	8	1	no	—
1694	D₄	—	8	1	no	—
1695	D₄	—	8	1	no	—
1696	D₄	—	8	1	no	—
1697	D₄	—	8	1	no	—
1698	D₄	—	8	1	no	—
1699	D₄	—	8	1	no	—
1700	D₄	—	8	1	no	—
1701	D₄	—	8	1	no	—
1702	D₄	—	8	1	no	—
1703	D₄	—	8	1	no	—
1704	D₄	—	8	1	no	—
1705	D₄	—	8	1	no	—
1706	D₄	—	8	1	no	—
1707	D₄	—	8	1	no	—
1708	D₄	—	8	1	no	—
1709	D₄	—	8	1	no	—
1710	D₄	—	8	1	no	—
1711	D₄	—	47	2	no	—
1712	D₄	—	94	1	no	—
1713	D₄	—	94	1	no	—
1714	D₄	—	94	1	no	—
1715	D₄	—	94	1	no	—
1716	D₄	—	94	1	no	—
1717	D₄	—	376	1	no	—
1718	D₄	—	376	1	no	—
1719	D₄	—	376	1	no	—
1720	D₄	—	376	1	no	—
1721	D₄	—	376	1	no	—
1722	D₄	—	188	2	no	—
1723	D₄	—	188	2	no	—
1724	D₄	—	188	2	no	—
1725	D₄	—	188	2	no	—
1726	C₂×C₄	—	2	2	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	4	1	no	—
1737	C₂×C₄	—	4	2	no	—
1738	C₂×C₄	—	8	1	no	—
1739	C₂×C₄	—	8	1	no	—
1740	C₂×C₄	—	8	1	no	—
1741	C₂×C₄	—	8	1	no	—
1742	C₂×C₄	—	8	1	no	—
1743	C₂×C₄	—	8	1	no	—
1744	C₂×C₄	—	94	1	no	—
1745	C₂×C₄	—	94	1	no	—
1746	C₂×C₄	—	94	1	no	—
1747	C₂×C₄	—	94	1	no	—
1748	C₂×C₄	—	94	1	no	—
1749	C₂×C₄	—	376	1	no	—
1750	C₂×C₄	—	376	1	no	—
1751	C₂×C₄	—	376	1	no	—
1752	C₂×C₄	—	376	1	no	—
1753	C₂×C₄	—	376	1	no	—
1754	C₂×C₄	—	376	1	no	—
1755	C₂×C₄	—	376	1	no	—
1756	C₂×C₄	—	376	1	no	—
1757	C₂×C₄	—	376	1	no	—
1758	C₂×C₄	—	188	2	no	—
1759	C₂×C₄	—	188	2	no	—
1760	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1761	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1762	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1763	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1764	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1765	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1766	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1767	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1768	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1769	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1770	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1771	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1772	C₈	—	94	1	no	—
1773	C₈	—	94	1	no	—
1774	C₈	—	94	1	no	—
1775	C₈	—	94	1	no	—
1776	C₈	—	94	1	no	—
1777	C₈	—	94	1	no	—
1778	C₈	—	94	1	no	—
1779	C₈	—	94	1	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	2	1	no	—
1785	C₂²	—	2	1	no	—
1786	C₂²	—	2	1	no	—
1787	C₂²	—	2	1	no	—
1788	C₂²	—	4	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	4	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	4	1	no	—
1798	C₂²	—	4	1	no	—
1799	C₂²	—	4	1	no	—
1800	C₂²	—	4	1	no	—
1801	C₂²	—	4	1	no	—
1802	C₂²	—	4	1	no	—
1803	C₂²	—	16	2	no	—
1804	C₂²	—	16	2	no	—
1805	C₂²	—	16	2	no	—
1806	C₂²	—	16	2	no	—
1807	C₂²	—	94	2	no	—
1808	C₂²	—	376	4	no	—
1809	C₂²	—	188	1	no	—
1810	C₂²	—	188	1	no	—
1811	C₂²	—	188	1	no	—
1812	C₂²	—	188	1	no	—
1813	C₂²	—	188	1	no	—
1814	C₂²	—	188	1	no	—
1815	C₂²	—	188	1	no	—
1816	C₂²	—	188	1	no	—
1817	C₂²	—	752	2	no	—
1818	C₂²	#15689926	1	2	yes	—
1819	C₂²	C₂³×C₂²⋊D₄₇	1	1	yes	characteristic
1820	C₄	—	2	1	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	2	1	no	—
1823	C₄	—	2	1	no	—
1824	C₄	—	2	1	no	—
1825	C₄	—	2	1	no	—
1826	C₄	—	2	1	no	—
1827	C₄	—	2	1	no	—
1828	C₄	—	2	1	no	—
1829	C₄	—	2	1	no	—
1830	C₄	—	2	1	no	—
1831	C₄	—	4	1	no	—
1832	C₄	—	4	1	no	—
1833	C₄	—	4	1	no	—
1834	C₄	—	188	1	no	—
1835	C₄	—	188	1	no	—
1836	C₄	—	188	1	no	—
1837	C₄	—	188	1	no	—
1838	C₄	—	188	1	no	—
1839	C₄	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1840	C₄	#15689958	1	1	yes	characteristic
1841	C₂	—	2	2	no	—
1842	C₂	—	4	1	no	—
1843	C₂	—	4	1	no	—
1844	C₂	—	8	1	no	—
1845	C₂	—	8	1	no	—
1846	C₂	—	8	1	no	—
1847	C₂	—	8	1	no	—
1848	C₂	—	8	1	no	—
1849	C₂	—	376	1	no	—
1850	C₂	—	376	1	no	—
1851	C₂	—	188	2	no	—
1852	C₂	#20257050	1	1	yes	characteristic
1853	C₂	C₂×#15689926	1	1	yes	characteristic
1854	C₂	#20258168	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₄₇×#3543	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	#3543	D₄₇
hypocenter	C₄₇	#62007
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3543

Complements

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

N	H ≅ G/N	type
1. #20257332	C₂	semidirect
2. #20256472	C₂	semidirect
3. #20256430	C₂	semidirect
4. #20256135	C₂	semidirect
5. #20256091	C₂	semidirect
6. #20255529	C₂	semidirect
7. #20255409	C₂	semidirect
8. #20255394	C₂	semidirect
9. #20255349	C₂	semidirect
10. #20255223	C₂	semidirect
11. #20255201	C₂	semidirect
12. #20255069	C₂	semidirect
13. D₄×#10625334	C₂	semidirect
14. #20254929	C₂	semidirect
15. #20254869	C₂	semidirect
16. #20254864	C₂	semidirect
17. #20254864	C₂	semidirect
18. #20254823	C₂	semidirect
19. #20254793	C₂	semidirect
20. #20254735	C₂	semidirect
21. #20254482	C₂	semidirect
22. #20254438	C₂	semidirect
23. #20254406	C₂	semidirect
24. #20253626	C₂	semidirect
25. #20253581	C₂	semidirect
26. #20253522	C₂	semidirect
27. #20252923	C₂	semidirect
28. #20252887	C₂	semidirect
29. C₂×#15689315	C₂	semidirect
30. #20252527	C₂	semidirect
31. C₄₇×#3543	C₂	semidirect
32. C₂×#13094050	C₂²	semidirect
33. C₂×#13094049	C₂²	semidirect
34. C₂×#13094044	C₂²	semidirect
35. C₂²×#10625334	C₂²	semidirect
36. C₂²×#10625334	C₂²	semidirect
37. C₂²×#10625334	C₂²	semidirect
38. #15689858	C₂²	semidirect
39. #15689833	C₂²	semidirect
41. #15689819	C₂²	semidirect
42. #15689813	C₂²	semidirect
45. #15689777	C₂²	semidirect
46. #15689769	C₂²	semidirect
47. #15689769	C₂²	semidirect
49. D₄×D₁₈₈	C₂²	semidirect
50. #15689744	C₂²	semidirect
51. #15689728	C₂²	semidirect
54. #15689657	C₂²	semidirect
57. #15689603	C₂²	semidirect
58. #15689597	C₂²	semidirect
59. C₂×C₄×D₁₈₈	C₂²	semidirect
60. #15689513	C₂²	semidirect
61. #15689510	C₂²	semidirect
62. #15689510	C₂²	semidirect
63. #15689510	C₂²	semidirect
64. #15689505	C₂²	semidirect
65. #15689499	C₂²	semidirect
66. #15689487	C₂²	semidirect
67. #15689487	C₂²	semidirect
68. #15689487	C₂²	semidirect
69. #15689482	C₂²	semidirect
70. #15689477	C₂²	semidirect
71. #15689469	C₂²	semidirect
72. #15689451	C₂²	semidirect
73. #15689444	C₂²	semidirect
74. #15689444	C₂²	semidirect
75. #15689439	C₂²	semidirect
76. #15689434	C₂²	semidirect
77. #15689434	C₂²	semidirect
78. #15689430	C₂²	semidirect
79. #15689427	C₂²	semidirect
80. #15689423	C₂²	semidirect
81. #15689423	C₂²	semidirect
82. #15689423	C₂²	semidirect
83. #15689420	C₂²	semidirect
84. #15689420	C₂²	semidirect
85. #15689420	C₂²	semidirect
86. #15689413	C₂²	semidirect
87. #15689403	C₂²	semidirect
88. #15689374	C₂²	semidirect
89. #15689374	C₂²	semidirect
90. #15689374	C₂²	semidirect
91. #15689367	C₂²	semidirect
92. #15689362	C₂²	semidirect
94. #15689357	C₂²	semidirect
95. #15689357	C₂²	semidirect
96. #15689357	C₂²	semidirect
97. #15689354	C₂²	semidirect
98. #15689350	C₂²	semidirect
99. #15689350	C₂²	semidirect
100. #15689345	C₂²	semidirect
101. #15689342	C₂²	semidirect
102. #15689342	C₂²	semidirect
103. #15689338	C₂²	semidirect
104. #15689338	C₂²	semidirect
105. #15689338	C₂²	semidirect
106. #15689335	C₂²	semidirect
107. #15689335	C₂²	semidirect
108. #15689335	C₂²	semidirect
109. #15689335	C₂²	semidirect
110. #15689335	C₂²	semidirect
111. #15689335	C₂²	semidirect
112. #15689320	C₂²	semidirect
113. #15689320	C₂²	semidirect
114. #15689320	C₂²	semidirect
115. #15689318	C₂²	semidirect
116. #15689318	C₂²	semidirect
118. #15689315	C₂²	semidirect
119. #15689315	C₂²	semidirect
120. #15689315	C₂²	semidirect
121. #15689315	C₂²	semidirect
122. #15689315	C₂²	semidirect
123. #15689315	C₂²	semidirect
124. #15689315	C₂²	semidirect
125. #15689315	C₂²	semidirect
126. #15689315	C₂²	semidirect
127. #15689315	C₂²	semidirect
128. #15689315	C₂²	semidirect
129. #15689315	C₂²	semidirect
130. #15689285	C₂²	semidirect
131. #15689274	C₂²	semidirect
132. #15689274	C₂²	semidirect
133. #15689274	C₂²	semidirect
134. #15689273	C₂²	semidirect
135. #15689268	C₂²	semidirect
136. #15689268	C₂²	semidirect
137. #15689268	C₂²	semidirect
138. #15689266	C₂²	semidirect
139. #15689266	C₂²	semidirect
140. #15689257	C₂²	semidirect
141. #15689257	C₂²	semidirect
142. #15689257	C₂²	semidirect
143. #15689257	C₂²	semidirect
144. #15689257	C₂²	semidirect
146. #15689256	C₂²	semidirect
147. #15689256	C₂²	semidirect
148. #15689254	C₂²	semidirect
149. #15689254	C₂²	semidirect
150. #15689233	C₂²	semidirect
151. #15689233	C₂²	semidirect
152. #15689233	C₂²	semidirect
153. #15689233	C₂²	semidirect
154. #15689233	C₂²	semidirect
155. #15689223	C₂²	semidirect
156. #15689221	C₂²	semidirect
157. #15689221	C₂²	semidirect
158. C₄×#10625335	C₂²	semidirect
159. C₄×#10625334	C₂²	semidirect
160. C₄×#10625334	C₂²	semidirect
161. C₄×#10625334	C₂²	semidirect
162. #15689195	C₂²	semidirect
163. #15689195	C₂²	semidirect
164. #15689195	C₂²	semidirect
165. #15689195	C₂²	semidirect
166. D₄×C₄₇⋊C₈	C₂²	semidirect
167. D₄×C₄₇⋊C₈	C₂²	semidirect
168. #15689184	C₂²	semidirect
169. #15689184	C₂²	semidirect
170. #15689180	C₂²	semidirect
171. #15689150	C₂²	semidirect
172. #15689150	C₂²	semidirect
173. C₂×C₄⋊(C₄₇⋊C₈)	C₂²	semidirect
174. #15689128	C₂²	semidirect
175. #15689124	C₂²	semidirect
176. #15689119	C₂²	semidirect
177. C₂×#13093945	C₂²	semidirect
178. C₂×#13093945	C₂²	semidirect
179. C₂×#13093945	C₂²	semidirect
182. C₄₇×#559	C₂²	semidirect
183. C₄₇×#550	C₂²	semidirect
184. C₄₇×#550	C₂²	semidirect
187. C₄₇×#546	C₂²	semidirect
190. D₄²×C₄₇	C₂²	semidirect
191. D₄²×C₄₇	C₂²	semidirect
193. C₄₇×#540	C₂²	semidirect
194. C₄₇×#540	C₂²	semidirect
196. C₄₇×#535	C₂²	semidirect
197. C₄₇×#535	C₂²	semidirect
200. C₂×#127×C₄₇	C₂²	semidirect
202. C₄₇×#529	C₂²	semidirect
914. #3543	D₄₇	semidirect
968. #559	C₂×D₄₇	semidirect
975. #550	C₂×D₄₇	semidirect
976. #550	C₂×D₄₇	semidirect
983. #546	C₂×D₄₇	semidirect
987. D₄²	C₂×D₄₇	semidirect
988. D₄²	C₂×D₄₇	semidirect
992. #540	C₂×D₄₇	semidirect
993. #540	C₂×D₄₇	semidirect
997. #535	C₂×D₄₇	semidirect
998. #535	C₂×D₄₇	semidirect
1001. C₂×#127	C₂×D₄₇	semidirect
1004. #529	C₂×D₄₇	semidirect
1130. C₄₇	#62007	semidirect

Maximal subgroups

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

subgroup	index
#20257332	2
#20256472	2
#20256430	2
#20256135	2
#20256091	2
#20255529	2
#20255409	2
#20255394	2
#20255349	2
#20255223	2
#20255201	2
#20255069	2
D₄×#10625334	2
#20254929	2
#20254869	2
#20254864	2
#20254823	2
#20254793	2
#20254735	2
#20254482	2
#20254438	2
#20254406	2
#20253626	2
#20253581	2
#20253522	2
#20252923	2
#20252887	2
C₂×#15689315	2
#20252527	2
C₄₇×#3543	2
#62007	47