Subgroups — #27081148

Order 12032.

2090 conjugacy classes of subgroups.

The subgroup lattice has 1278 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256715	C₂	1	1	yes	maximal, characteristic
2	#20252447	C₂	1	2	yes	maximal, complemented
3	#20252445	C₂	1	2	yes	maximal, complemented
4	#20252441	C₂	1	2	yes	maximal, complemented
5	#20252439	C₂	1	2	yes	maximal, complemented
6	#20252437	C₂	1	2	yes	maximal, complemented
7	#20252435	C₂	1	2	yes	maximal, complemented
8	#20252432	C₂	1	2	yes	maximal, complemented
9	#20252430	C₂	1	2	yes	maximal, complemented
10	#20252134	C₂	1	1	yes	maximal, characteristic, complemented
11	#20252132	C₂	1	1	yes	maximal, characteristic, complemented
12	#20252131	C₂	1	1	yes	maximal, characteristic, complemented
13	#20252104	C₂	1	1	yes	maximal, characteristic, complemented
14	#20252103	C₂	1	1	yes	maximal, characteristic, complemented
15	#20252098	C₂	1	1	yes	maximal, characteristic, complemented
16	#20252096	C₂	1	1	yes	maximal, characteristic, complemented
17	#20252024	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#15689183	C₂	1	1	yes	maximal, characteristic, complemented
19	#20251836	C₂	1	1	yes	maximal, characteristic, complemented
20	#20251836	C₂	1	1	yes	maximal, characteristic, complemented
21	#20251835	C₂	1	1	yes	maximal, characteristic, complemented
22	#20251835	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#2935	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₄₇	C₂²	1	1	yes	characteristic
25	C₂×#41×D₄₇	C₂²	1	1	yes	characteristic
26	C₂×#13094032	C₂²	1	1	yes	characteristic, complemented
27	C₂×#13094032	C₂²	1	1	yes	characteristic, complemented
28	C₂×#13094031	C₂²	1	1	yes	characteristic, complemented
29	C₂×#13094031	C₂²	1	1	yes	characteristic, complemented
30	C₂×#13094030	C₂²	1	1	yes	characteristic, complemented
31	C₂×#13094030	C₂²	1	1	yes	characteristic, complemented
32	#15689700	C₄	1	2	yes	—
33	#15689700	C₄	1	2	yes	—
34	#15689698	C₄	1	1	yes	characteristic
35	#15689698	C₄	1	1	yes	characteristic
36	#15689693	C₄	1	1	yes	characteristic
37	#15689693	C₄	1	1	yes	characteristic
38	#15689691	C₄	1	1	yes	characteristic
39	#15689691	C₄	1	1	yes	characteristic
40	#15689686	C₄	1	1	yes	characteristic
41	#15689686	C₄	1	1	yes	characteristic
42	#15689681	C₄	1	2	yes	—
43	#15689681	C₄	1	2	yes	—
44	#15689673	C₂²	1	1	yes	characteristic
45	#15689669	C₂²	1	1	yes	characteristic
46	#15689669	C₂²	1	1	yes	characteristic
47	#15689632	C₂²	1	2	yes	—
48	#15689632	C₂²	1	2	yes	—
49	#15689632	C₂²	1	2	yes	—
50	#15689632	C₂²	1	2	yes	—
51	C₂×#13093981	C₂²	1	1	yes	characteristic
52	#15689202	C₂²	1	2	yes	complemented
53	#15689201	C₂²	1	2	yes	complemented
54	#15689200	C₂²	1	2	yes	complemented
55	#15689199	C₂²	1	2	yes	complemented
56	#15689199	C₂²	1	2	yes	complemented
57	#15689198	C₂²	1	2	yes	complemented
58	#15689198	C₂²	1	2	yes	complemented
59	#15689197	C₂²	1	2	yes	complemented
60	#15689197	C₂²	1	2	yes	complemented
61	#15689196	C₂²	1	2	yes	complemented
62	#15689196	C₂²	1	2	yes	complemented
63	#15689195	C₂²	1	2	yes	complemented
64	#15689195	C₂²	1	2	yes	complemented
65	#15689194	C₂²	1	2	yes	complemented
66	#15689194	C₂²	1	2	yes	complemented
67	#15689193	C₂²	1	2	yes	complemented
68	#15689193	C₂²	1	2	yes	complemented
69	#15689192	C₂²	1	2	yes	complemented
70	#15689192	C₂²	1	2	yes	complemented
71	#15689191	C₂²	1	2	yes	complemented
72	#15689191	C₂²	1	2	yes	complemented
73	C₈×D₁₈₈	C₂²	1	2	yes	complemented
74	D₄×C₄₇⋊C₈	C₂²	1	2	yes	complemented
75	#15689188	C₂²	1	2	yes	complemented
76	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
77	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
78	(C₂²⋊D₄₇)⋊C₈	C₂²	1	2	yes	complemented
79	(C₂²⋊D₄₇)⋊C₈	C₂²	1	2	yes	complemented
80	#15689185	C₂²	1	2	yes	complemented
81	#15689185	C₂²	1	2	yes	complemented
82	#15689183	C₂²	1	1	yes	characteristic, complemented
83	#15689183	C₂²	1	1	yes	characteristic, complemented
84	#15689183	C₂²	1	1	yes	characteristic, complemented
85	#15689183	C₂²	1	1	yes	characteristic, complemented
86	#15689183	C₂²	1	1	yes	characteristic, complemented
87	#15689183	C₂²	1	1	yes	characteristic, complemented
88	#15689183	C₂²	1	1	yes	characteristic, complemented
89	#15689183	C₂²	1	1	yes	characteristic, complemented
90	#15689182	C₂²	1	2	yes	complemented
91	#15689182	C₂²	1	2	yes	complemented
92	#15689146	C₂²	1	1	yes	characteristic, complemented
93	#15689146	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
95	#15689091	C₂²	1	2	yes	—
96	#15689091	C₂²	1	2	yes	—
97	#15689091	C₂²	1	1	yes	characteristic, complemented
98	#15689091	C₂²	1	1	yes	characteristic, complemented
99	#15689090	C₂²	1	1	yes	characteristic, complemented
100	#15689090	C₂²	1	1	yes	characteristic, complemented
101	#15689089	C₂²	1	2	yes	—
102	#15689089	C₂²	1	2	yes	—
103	#15689089	C₂²	1	1	yes	characteristic, complemented
104	#15689089	C₂²	1	1	yes	characteristic, complemented
105	#15689088	C₂²	1	2	yes	—
106	#15689088	C₂²	1	2	yes	—
107	#15689088	C₂²	1	2	yes	—
108	#15689088	C₂²	1	2	yes	—
109	#15689086	C₂²	1	1	yes	characteristic
110	#15689086	C₂²	1	1	yes	characteristic
111	#15689086	C₂²	1	2	yes	complemented
112	#15689086	C₂²	1	2	yes	complemented
113	#15689085	C₂²	1	2	yes	complemented
114	#15689085	C₂²	1	2	yes	complemented
115	C₂×(C₂×D₄₇)⋊C₈	C₂²	1	1	yes	characteristic
116	C₂×(C₂×D₄₇)⋊C₈	C₂²	1	1	yes	characteristic
117	C₂×(C₂×D₄₇)⋊C₈	C₂²	1	2	yes	complemented
118	C₂×(C₂×D₄₇)⋊C₈	C₂²	1	2	yes	complemented
119	C₂²⋊C₈×D₄₇	C₂²	1	2	yes	complemented
120	C₂²⋊C₈×D₄₇	C₂²	1	2	yes	complemented
121	C₄×#10625329	C₂²	1	1	yes	characteristic, complemented
122	C₂×#13093934	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₈×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
124	C₂×#131×C₄₇	C₂²	1	1	yes	characteristic, complemented
125	C₂×#131×C₄₇	C₂²	1	1	yes	characteristic, complemented
126	C₄₇×#532	C₂²	1	1	yes	characteristic
127	C₄₇×#436	C₂²	1	2	yes	complemented
128	C₄₇×#435	C₂²	1	2	yes	complemented
129	C₄₇×#435	C₂²	1	2	yes	complemented
130	C₈×D₄×C₄₇	C₂²	1	2	yes	complemented
131	C₂×C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
132	C₄₇×#408	C₂²	1	1	yes	characteristic, complemented
133	C₄₇×#408	C₂²	1	1	yes	characteristic, complemented
134	C₄×M₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
135	C₂×#10625354	C₂×C₄	1	1	yes	characteristic
136	C₂×#10625354	C₂×C₄	1	1	yes	characteristic
137	C₂×#10625350	C₂³	1	1	yes	characteristic
138	C₂×#10625350	C₂³	1	1	yes	characteristic
139	C₂×#10625350	C₂³	1	2	yes	—
140	C₂×#10625350	C₂³	1	2	yes	—
141	C₂×#10625352	C₂×C₄	1	1	yes	characteristic
142	C₂×#10625352	C₂×C₄	1	1	yes	characteristic
143	C₂×#10625352	C₂×C₄	1	2	yes	—
144	C₂×#10625352	C₂×C₄	1	2	yes	—
145	#41×D₄₇	—	4	2	no	—
146	#41×D₄₇	—	4	2	no	—
147	#41×D₄₇	—	4	2	no	—
148	#41×D₄₇	—	4	2	no	—
149	C₂×Q₈×D₄₇	C₂×C₄	1	1	yes	characteristic
150	C₂×Q₈×D₄₇	C₂×C₄	1	1	yes	characteristic
151	C₂×D₄×D₄₇	C₂×C₄	1	2	yes	—
152	C₂×D₄×D₄₇	C₂×C₄	1	2	yes	—
153	C₂×D₄×D₄₇	C₂×C₄	1	1	yes	characteristic
154	C₂×D₄×D₄₇	C₂×C₄	1	1	yes	characteristic
155	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
156	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
157	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
158	#13094032	—	4	2	no	—
159	#13094032	—	4	2	no	—
160	#13094031	—	4	2	no	—
161	#13094031	—	4	2	no	—
162	#13094030	—	4	2	no	—
163	#13094030	—	4	2	no	—
164	C₂×#10625329	C₂³	1	1	yes	characteristic
165	C₂×#10625329	C₂³	1	1	yes	characteristic
166	C₂×#10625329	C₂³	1	2	yes	—
167	C₂×#10625329	C₂³	1	2	yes	—
168	C₂×#10625324	C₂³	1	2	yes	—
169	C₂×#10625324	C₂³	1	2	yes	—
170	C₂×#10625324	C₂³	1	2	yes	—
171	C₂×#10625324	C₂³	1	2	yes	—
172	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
173	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
174	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
175	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
176	C₂×C₈×D₄₇	C₂³	1	2	yes	—
177	C₂×C₈×D₄₇	C₂³	1	2	yes	—
178	C₂×C₈×D₄₇	C₂³	1	2	yes	—
179	C₂×C₈×D₄₇	C₂³	1	2	yes	—
180	#13094024	C₂×C₄	1	1	yes	characteristic
181	#13094022	C₂×C₄	1	1	yes	characteristic
182	#13094022	C₂×C₄	1	1	yes	characteristic
183	#13094021	C₂×C₄	1	1	yes	characteristic
184	#13094020	C₂×C₄	1	1	yes	characteristic
185	#13094020	C₂×C₄	1	1	yes	characteristic
186	#13094013	C₂×C₄	1	1	yes	characteristic
187	#13094013	C₂×C₄	1	1	yes	characteristic
188	#13094012	C₂×C₄	1	1	yes	characteristic
189	#13094012	C₂×C₄	1	1	yes	characteristic
190	#13094011	C₂×C₄	1	1	yes	characteristic
191	#13094011	C₂×C₄	1	1	yes	characteristic
192	#13094009	C₂×C₄	1	2	yes	—
193	#13094009	C₂×C₄	1	2	yes	—
194	#13094009	C₂×C₄	1	2	yes	—
195	#13094009	C₂×C₄	1	2	yes	—
196	#13094006	C₂×C₄	1	2	yes	—
197	#13094006	C₂×C₄	1	2	yes	—
198	#13094006	C₂×C₄	1	2	yes	—
199	#13094006	C₂×C₄	1	2	yes	—
200	#13094002	C₂×C₄	1	2	yes	—
201	#13094002	C₂×C₄	1	2	yes	—
202	#13094002	C₂×C₄	1	2	yes	—
203	#13094002	C₂×C₄	1	2	yes	—
204	#13094001	C₂×C₄	1	2	yes	—
205	#13094001	C₂×C₄	1	2	yes	—
206	#13094001	C₂×C₄	1	2	yes	—
207	#13094001	C₂×C₄	1	2	yes	—
208	#13093998	C₂×C₄	1	2	yes	—
209	#13093998	C₂×C₄	1	2	yes	—
210	#13093997	C₂×C₄	1	2	yes	—
211	#13093997	C₂×C₄	1	2	yes	—
212	#13093997	C₂×C₄	1	2	yes	—
213	#13093997	C₂×C₄	1	2	yes	—
214	#13093996	C₂×C₄	1	2	yes	—
215	#13093996	C₂×C₄	1	2	yes	—
216	#13093996	C₂×C₄	1	2	yes	—
217	#13093996	C₂×C₄	1	2	yes	—
218	#13093996	C₂×C₄	1	2	yes	—
219	#13093996	C₂×C₄	1	2	yes	—
220	#13093996	C₂×C₄	1	2	yes	—
221	#13093996	C₂×C₄	1	2	yes	—
222	#13093994	C₂×C₄	1	2	yes	—
223	#13093994	C₂×C₄	1	2	yes	—
224	#13093994	C₂×C₄	1	2	yes	—
225	#13093994	C₂×C₄	1	2	yes	—
226	#13093992	C₂×C₄	1	2	yes	—
227	#13093992	C₂×C₄	1	2	yes	—
228	#13093992	C₂×C₄	1	2	yes	—
229	#13093992	C₂×C₄	1	2	yes	—
230	C₄×D₁₈₈	C₂³	1	2	yes	—
231	C₄×D₁₈₈	C₂³	1	2	yes	—
232	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
233	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
234	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
235	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
236	#13093981	C₂×C₄	1	1	yes	characteristic
237	#13093981	C₂×C₄	1	1	yes	characteristic
238	#13093981	C₂×C₄	1	1	yes	characteristic
239	#13093981	C₂×C₄	1	1	yes	characteristic
240	#13093981	C₂³	1	1	yes	characteristic
241	#13093981	C₂³	1	1	yes	characteristic
242	#13093981	C₂³	1	1	yes	characteristic
243	#13093981	C₂³	1	1	yes	characteristic
244	C₂×Dic₄₇⋊C₄	C₂×C₄	1	1	yes	characteristic
245	C₂×Dic₄₇⋊C₄	C₂×C₄	1	1	yes	characteristic
246	C₂×(C₂×D₄₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
247	C₂×(C₂×D₄₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
248	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
249	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
250	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
251	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
252	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
253	Dic₄₇⋊C₈	C₂³	1	2	yes	—
254	Dic₄₇⋊C₈	C₂³	1	2	yes	—
255	Dic₄₇⋊C₈	C₂³	1	2	yes	—
256	Dic₄₇⋊C₈	C₂³	1	2	yes	—
257	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
258	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
259	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
260	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
261	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
262	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
263	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
264	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
265	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
266	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
267	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
268	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
269	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
270	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
271	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
272	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
273	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
274	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
275	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
276	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
277	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
278	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
279	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
280	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
281	#13093935	C₂³	1	2	yes	—
282	#13093934	C₂³	1	1	yes	characteristic
283	#13093934	C₂³	1	1	yes	characteristic
284	#13093934	C₂³	1	1	yes	characteristic
285	#13093934	C₂³	1	1	yes	characteristic
286	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
287	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
288	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
289	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
290	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
291	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
292	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
293	#131×C₄₇	—	4	2	no	—
294	#131×C₄₇	—	4	2	no	—
295	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
296	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
297	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
298	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
299	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
300	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
301	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
302	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
303	C₄⋊Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
304	#127×C₄₇	C₂×C₄	1	1	yes	characteristic
305	#124×C₄₇	C₂×C₄	1	1	yes	characteristic
306	#124×C₄₇	C₂×C₄	1	1	yes	characteristic
307	#121×C₄₇	C₂×C₄	1	2	yes	—
308	#121×C₄₇	C₂×C₄	1	2	yes	—
309	C₄×D₄×C₄₇	C₂³	1	2	yes	—
310	C₄×D₄×C₄₇	C₂³	1	2	yes	—
311	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
312	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
313	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
314	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
315	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
316	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
317	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
318	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
319	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
320	#97×C₄₇	C₂³	1	2	yes	—
321	C₄×C₈×C₄₇	C₂³	1	2	yes	—
322	C₂³×D₄₇	C₂²×C₄	1	1	yes	characteristic
323	C₂³×D₄₇	C₂²×C₄	1	2	yes	—
324	C₂³×D₄₇	C₂²×C₄	1	2	yes	—
325	#41×C₄₇	—	2	2	no	—
326	#41×C₄₇	—	2	2	no	—
327	#41×C₄₇	—	2	2	no	—
328	#41×C₄₇	—	2	2	no	—
329	C₂×Q₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
330	C₂×Q₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
331	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
332	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
333	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
334	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
335	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
336	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
337	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
338	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
339	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
340	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
341	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
342	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
343	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
344	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
345	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
346	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
347	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
348	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
349	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
350	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
351	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
352	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
353	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
354	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
355	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
356	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
357	#10625354	—	4	2	no	—
358	#10625354	—	4	2	no	—
359	Q₈×D₄₇	—	4	2	no	—
360	Q₈×D₄₇	—	4	2	no	—
361	#10625352	—	4	2	no	—
362	#10625352	—	4	2	no	—
363	#10625352	—	4	4	no	—
364	#10625352	—	4	4	no	—
365	D₄×D₄₇	—	4	2	no	—
366	D₄×D₄₇	—	4	2	no	—
367	D₄×D₄₇	—	4	4	no	—
368	D₄×D₄₇	—	4	4	no	—
369	#10625350	—	2	2	no	—
370	#10625350	—	2	2	no	—
371	#10625350	—	2	2	no	—
372	#10625350	—	2	2	no	—
373	#10625350	—	4	2	no	—
374	#10625350	—	4	2	no	—
375	#10625350	—	4	2	no	—
376	#10625350	—	4	2	no	—
377	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
378	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
379	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
380	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
381	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
382	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
383	C₂×C₄×D₄₇	—	2	2	no	—
384	C₂×C₄×D₄₇	—	2	2	no	—
385	C₂×C₄×D₄₇	—	4	2	no	—
386	C₂×C₄×D₄₇	—	4	2	no	—
387	C₂×C₄×D₄₇	—	4	2	no	—
388	C₂×C₄×D₄₇	—	4	2	no	—
389	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
390	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
391	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
392	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
393	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
394	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
395	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
396	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
397	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
398	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
399	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
400	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
401	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
402	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
403	M₁₆×C₄₇	—	2	2	no	—
404	M₁₆×C₄₇	—	2	2	no	—
405	M₁₆×C₄₇	—	4	2	no	—
406	M₁₆×C₄₇	—	4	2	no	—
407	C₂×C₈×C₄₇	—	2	2	no	—
408	C₂×C₈×C₄₇	—	2	2	no	—
409	C₂×C₈×C₄₇	—	4	2	no	—
410	C₂×C₈×C₄₇	—	4	2	no	—
411	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
412	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
413	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
414	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
415	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
416	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
417	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
418	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
419	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
420	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
421	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
422	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
423	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
424	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
425	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
426	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
427	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
428	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
429	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
430	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
431	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
432	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
433	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
434	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
435	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
436	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
437	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
438	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
439	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
440	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
441	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
442	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
443	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
444	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
445	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
446	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
447	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
448	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
449	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
450	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
451	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
452	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
453	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
454	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
455	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
456	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
457	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
458	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
459	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
460	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
461	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
462	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
463	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
464	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
465	#10625329	—	2	2	no	—
466	#10625329	—	2	2	no	—
467	#10625329	—	4	2	no	—
468	#10625329	—	4	2	no	—
469	C₂×C₄₇⋊C₈	—	2	2	no	—
470	C₂×C₄₇⋊C₈	—	2	2	no	—
471	C₂×C₄₇⋊C₈	—	4	2	no	—
472	C₂×C₄₇⋊C₈	—	4	2	no	—
473	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
474	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
475	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
476	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
477	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
478	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
479	#10625324	—	4	2	no	—
480	#10625324	—	4	2	no	—
481	#10625324	—	4	2	no	—
482	#10625324	—	4	2	no	—
483	C₈×D₄₇	—	4	2	no	—
484	C₈×D₄₇	—	4	2	no	—
485	C₈×D₄₇	—	4	2	no	—
486	C₈×D₄₇	—	4	2	no	—
487	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
488	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
489	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
490	C₂²×D₄₇	—	2	2	no	—
491	C₂²×D₄₇	—	4	2	no	—
492	C₂²×D₄₇	—	4	2	no	—
493	C₂²×D₄₇	—	4	2	no	—
494	C₂²×D₄₇	—	4	2	no	—
495	C₂²×D₄₇	—	4	2	no	—
496	C₂²×D₄₇	—	4	2	no	—
497	C₂²×D₄₇	—	4	1	no	—
498	C₂²×D₄₇	—	4	1	no	—
499	C₂²×D₄₇	C₂³×C₄	1	1	yes	characteristic
500	C₂²×D₄₇	C₂³×C₄	1	1	yes	characteristic
501	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
502	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
503	Q₈×C₄₇	—	2	2	no	—
504	Q₈×C₄₇	—	2	2	no	—
505	D₄×C₄₇	—	2	4	no	—
506	D₄×C₄₇	—	2	4	no	—
507	D₄×C₄₇	—	2	2	no	—
508	D₄×C₄₇	—	2	2	no	—
509	D₄×C₄₇	—	4	2	no	—
510	D₄×C₄₇	—	4	2	no	—
511	C₂×C₄×C₄₇	—	2	2	no	—
512	C₂×C₄×C₄₇	—	2	2	no	—
513	C₂×C₄×C₄₇	—	2	2	no	—
514	C₂×C₄×C₄₇	—	2	2	no	—
515	C₂×C₄×C₄₇	—	4	1	no	—
516	C₂×C₄×C₄₇	—	4	1	no	—
517	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
518	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
519	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
520	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
521	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
522	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
523	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
524	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
525	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
526	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
527	C₂²⋊D₄₇	—	2	4	no	—
528	C₂²⋊D₄₇	—	2	4	no	—
529	C₂²⋊D₄₇	—	4	2	no	—
530	C₂²⋊D₄₇	—	4	2	no	—
531	C₂²⋊D₄₇	—	4	2	no	—
532	C₂²⋊D₄₇	—	4	2	no	—
533	C₂²⋊D₄₇	—	4	2	no	—
534	C₂²⋊D₄₇	—	4	2	no	—
535	C₂²⋊D₄₇	—	4	2	no	—
536	C₂²⋊D₄₇	—	4	2	no	—
537	C₂×Dic₄₇	—	2	2	no	—
538	C₂×Dic₄₇	—	4	2	no	—
539	C₂×Dic₄₇	—	4	2	no	—
540	C₂×Dic₄₇	—	4	1	no	—
541	C₂×Dic₄₇	—	4	1	no	—
542	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
543	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
544	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
545	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
546	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
547	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
548	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
549	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
550	D₁₈₈	—	2	2	no	—
551	D₁₈₈	—	2	2	no	—
552	D₁₈₈	—	4	2	no	—
553	D₁₈₈	—	4	2	no	—
554	D₁₈₈	—	4	2	no	—
555	D₁₈₈	—	4	2	no	—
556	C₄×D₄₇	—	2	2	no	—
557	C₄×D₄₇	—	2	2	no	—
558	C₄×D₄₇	—	2	2	no	—
559	C₄×D₄₇	—	2	2	no	—
560	C₄×D₄₇	—	2	2	no	—
561	C₄×D₄₇	—	2	2	no	—
562	C₄×D₄₇	—	2	1	no	—
563	C₄×D₄₇	—	2	1	no	—
564	C₄×D₄₇	—	2	1	no	—
565	C₄×D₄₇	—	2	1	no	—
566	C₄×D₄₇	—	4	2	no	—
567	C₄×D₄₇	—	4	2	no	—
568	C₄×D₄₇	—	4	2	no	—
569	C₄×D₄₇	—	4	2	no	—
570	Dic₉₄	—	2	2	no	—
571	Dic₉₄	—	2	2	no	—
572	Dic₉₄	—	4	2	no	—
573	Dic₉₄	—	4	2	no	—
574	C₈×C₄₇	—	2	2	no	—
575	C₈×C₄₇	—	2	1	no	—
576	C₈×C₄₇	—	2	1	no	—
577	C₈×C₄₇	—	2	1	no	—
578	C₈×C₄₇	—	2	1	no	—
579	C₈×C₄₇	—	2	2	no	—
580	C₄₇⋊C₈	—	2	2	no	—
581	C₄₇⋊C₈	—	2	1	no	—
582	C₄₇⋊C₈	—	2	1	no	—
583	C₄₇⋊C₈	—	2	1	no	—
584	C₄₇⋊C₈	—	2	1	no	—
585	C₄₇⋊C₈	—	2	2	no	—
586	#60238	—	47	1	no	maximal, Sylow
587	C₂²×C₄₇	—	2	1	no	—
588	C₂²×C₄₇	—	2	1	no	—
589	C₂²×C₄₇	—	2	2	no	—
590	C₂²×C₄₇	—	2	2	no	—
591	C₂²×C₄₇	—	2	2	no	—
592	C₂²×C₄₇	—	2	2	no	—
593	C₂²×C₄₇	—	2	2	no	—
594	C₂²×C₄₇	—	2	2	no	—
595	C₂²×C₄₇	#518	1	2	yes	—
596	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
597	C₂×D₄₇	—	2	1	no	—
598	C₂×D₄₇	—	2	1	no	—
599	C₂×D₄₇	—	2	2	no	—
600	C₂×D₄₇	—	2	2	no	—
601	C₂×D₄₇	—	2	2	no	—
602	C₂×D₄₇	—	2	2	no	—
603	C₂×D₄₇	—	2	2	no	—
604	C₂×D₄₇	—	2	2	no	—
605	C₂×D₄₇	—	2	1	no	—
606	C₂×D₄₇	—	2	1	no	—
607	C₂×D₄₇	—	2	1	no	—
608	C₂×D₄₇	—	2	1	no	—
609	C₂×D₄₇	—	8	2	no	—
610	C₂×D₄₇	—	8	4	no	—
611	C₂×D₄₇	—	8	4	no	—
612	C₄×C₄₇	—	2	2	no	—
613	C₄×C₄₇	—	2	2	no	—
614	C₄×C₄₇	—	2	1	no	—
615	C₄×C₄₇	—	2	1	no	—
616	C₄×C₄₇	—	2	1	no	—
617	C₄×C₄₇	—	2	1	no	—
618	C₄×C₄₇	#518	1	2	yes	—
619	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
620	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
621	Dic₄₇	—	2	2	no	—
622	Dic₄₇	—	2	2	no	—
623	Dic₄₇	—	2	1	no	—
624	Dic₄₇	—	2	1	no	—
625	Dic₄₇	—	2	1	no	—
626	Dic₄₇	—	2	1	no	—
627	Dic₄₇	—	2	1	no	—
628	Dic₄₇	—	2	1	no	—
629	#3449	—	47	1	no	—
630	#2978	—	47	2	no	—
631	#2978	—	47	2	no	—
632	#2977	—	47	2	no	—
633	#2977	—	47	2	no	—
634	#2976	—	47	2	no	—
635	#2976	—	47	2	no	—
636	#2976	—	47	2	no	—
637	#2976	—	47	2	no	—
638	#2935	—	47	1	no	—
639	#2935	—	47	1	no	—
640	#2935	—	47	1	no	—
641	#2935	D₄₇	1	1	yes	characteristic, complemented
642	#2932	—	47	1	no	—
643	#2932	—	47	1	no	—
644	#2931	—	47	1	no	—
645	#2931	—	47	1	no	—
646	#2921	—	47	1	no	—
647	C₂×#433	—	47	1	no	—
648	#2880	—	47	1	no	—
649	#2880	—	47	1	no	—
650	#2880	—	47	1	no	—
651	#2880	—	47	1	no	—
652	C₂×C₄₇	—	2	2	no	—
653	C₂×C₄₇	—	4	2	no	—
654	C₂×C₄₇	—	4	2	no	—
655	C₂×C₄₇	C₂×#518	1	1	yes	characteristic
656	C₂×C₄₇	#3573	1	1	yes	characteristic
657	C₂×C₄₇	#3573	1	1	yes	characteristic
658	D₄₇	—	4	2	no	—
659	D₄₇	—	4	2	no	—
660	D₄₇	—	4	1	no	—
661	D₄₇	—	4	1	no	—
662	C₂²×#41	—	47	1	no	—
663	C₂²×#41	—	47	1	no	—
664	C₂×#131	—	47	1	no	—
665	C₂×#131	—	47	1	no	—
666	C₂×#131	—	47	1	no	—
667	C₂×#131	—	47	1	no	—
668	C₂×#131	—	47	1	no	—
669	C₂×#131	—	47	1	no	—
670	C₂×#131	C₂×D₄₇	1	1	yes	characteristic, complemented
671	C₂×#131	C₂×D₄₇	1	1	yes	characteristic, complemented
672	#537	—	47	2	no	—
673	#537	—	47	2	no	—
674	#536	—	47	1	no	—
675	#536	—	47	1	no	—
676	#536	—	47	1	no	—
677	#536	—	47	1	no	—
678	#535	—	47	1	no	—
679	#535	—	47	1	no	—
680	#535	—	47	1	no	—
681	#535	—	47	1	no	—
682	#534	—	47	2	no	—
683	#534	—	47	2	no	—
684	#532	—	47	1	no	—
685	#532	—	47	1	no	—
686	#532	—	47	1	no	—
687	#532	C₂×D₄₇	1	1	yes	characteristic
688	#525	—	47	2	no	—
689	#525	—	47	2	no	—
690	#525	—	47	2	no	—
691	#525	—	47	2	no	—
692	C₂×#117	—	47	1	no	—
693	#436	—	47	2	no	—
694	#436	—	47	2	no	—
695	#436	—	47	2	no	—
696	#436	—	47	2	no	—
697	#436	—	47	2	no	—
698	#436	—	47	2	no	—
699	#436	—	47	2	no	—
700	#436	C₂×D₄₇	1	2	yes	complemented
701	#435	—	47	2	no	—
702	#435	—	47	2	no	—
703	#435	—	47	2	no	—
704	#435	—	47	2	no	—
705	#435	—	47	2	no	—
706	#435	—	47	2	no	—
707	#435	—	47	2	no	—
708	#435	—	47	2	no	—
709	#435	—	47	2	no	—
710	#435	—	47	2	no	—
711	#435	—	47	2	no	—
712	#435	—	47	2	no	—
713	#435	—	47	2	no	—
714	#435	—	47	2	no	—
715	#435	C₂×D₄₇	1	2	yes	complemented
716	#435	C₂×D₄₇	1	2	yes	complemented
717	C₈×D₄	—	47	2	no	—
718	C₈×D₄	—	47	2	no	—
719	C₈×D₄	—	47	2	no	—
720	C₈×D₄	—	47	2	no	—
721	C₈×D₄	—	47	2	no	—
722	C₈×D₄	—	47	2	no	—
723	C₈×D₄	—	47	2	no	—
724	C₈×D₄	C₂×D₄₇	1	2	yes	complemented
725	#433	—	47	1	no	—
726	#433	—	47	1	no	—
727	#433	—	47	1	no	—
728	#433	—	47	1	no	—
729	#433	—	47	1	no	—
730	#433	—	47	1	no	—
731	#433	—	47	1	no	—
732	#433	—	47	1	no	—
733	#433	—	47	2	no	—
734	#433	—	47	2	no	—
735	#433	—	47	2	no	—
736	#433	—	47	2	no	—
737	#423	—	47	1	no	—
738	#423	—	47	1	no	—
739	C₂×C₄⋊C₈	—	47	1	no	—
740	C₂×C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
741	#408	—	47	1	no	—
742	#408	—	47	1	no	—
743	#408	—	47	1	no	—
744	#408	—	47	1	no	—
745	#408	—	47	2	no	—
746	#408	—	47	2	no	—
747	#408	—	47	1	no	—
748	#408	—	47	1	no	—
749	#408	—	47	2	no	—
750	#408	—	47	2	no	—
751	#408	—	47	2	no	—
752	#408	—	47	2	no	—
753	#408	—	47	2	no	—
754	#408	—	47	2	no	—
755	#408	C₂×D₄₇	1	1	yes	characteristic, complemented
756	#408	C₂×D₄₇	1	1	yes	characteristic, complemented
757	#407	—	47	1	no	—
758	#407	—	47	1	no	—
759	#407	—	47	2	no	—
760	#407	—	47	2	no	—
761	#407	—	47	2	no	—
762	#407	—	47	2	no	—
763	C₂×C₂²⋊C₈	—	47	1	no	—
764	C₂×C₂²⋊C₈	—	47	1	no	—
765	C₂×C₂²⋊C₈	—	47	2	no	—
766	C₂×C₂²⋊C₈	—	47	2	no	—
767	C₂×C₂²⋊C₈	—	47	2	no	—
768	C₂×C₂²⋊C₈	—	47	2	no	—
769	C₄×M₁₆	—	47	1	no	—
770	C₄×M₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
771	C₂×#97	—	47	1	no	—
772	C₂×C₄×C₈	—	47	1	no	—
773	C₄₇	#60238	1	1	yes	characteristic, complemented, Sylow
774	C₂×#41	—	47	1	no	—
775	C₂×#41	—	47	1	no	—
776	C₂×#41	—	47	1	no	—
777	C₂×#41	—	47	1	no	—
778	C₂×#41	—	47	2	no	—
779	C₂×#41	—	47	2	no	—
780	C₂×#41	—	47	1	no	—
781	C₂×#41	—	47	1	no	—
782	C₂×#41	—	47	2	no	—
783	C₂×#41	—	47	2	no	—
784	C₂×#41	—	188	2	no	—
785	C₂×#41	—	188	2	no	—
786	C₂×#41	—	188	2	no	—
787	C₂×#41	—	188	2	no	—
788	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
789	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
790	C₂²×Q₈	—	47	1	no	—
791	C₂²×Q₈	—	47	1	no	—
792	C₂²×D₄	—	47	2	no	—
793	C₂²×D₄	—	47	2	no	—
794	C₂²×D₄	—	47	1	no	—
795	C₂²×D₄	—	47	1	no	—
796	C₂³×C₄	—	47	1	no	—
797	C₂³×C₄	—	47	2	no	—
798	C₂³×C₄	—	47	2	no	—
799	#131	—	4	2	no	—
800	#131	—	4	2	no	—
801	#131	—	188	2	no	—
802	#131	—	188	2	no	—
803	#131	—	188	2	no	—
804	#131	—	188	2	no	—
805	#131	—	188	2	no	—
806	#131	—	188	2	no	—
807	C₂×M₁₆	—	47	1	no	—
808	C₂×M₁₆	—	47	1	no	—
809	C₂×M₁₆	—	47	2	no	—
810	C₂×M₁₆	—	47	2	no	—
811	C₂×M₁₆	—	47	2	no	—
812	C₂×M₁₆	—	47	2	no	—
813	C₂×M₁₆	—	47	2	no	—
814	C₂×M₁₆	—	47	2	no	—
815	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
816	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
817	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
818	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
819	C₂²×C₈	—	47	1	no	—
820	C₂²×C₈	—	47	1	no	—
821	C₂²×C₈	—	47	2	no	—
822	C₂²×C₈	—	47	2	no	—
823	C₂²×C₈	—	47	2	no	—
824	C₂²×C₈	—	47	2	no	—
825	C₂²×C₈	—	47	2	no	—
826	C₂²×C₈	—	47	2	no	—
827	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
828	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
829	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
830	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
831	C₄⋊Q₈	—	47	1	no	—
832	C₄⋊Q₈	—	47	1	no	—
833	C₄⋊Q₈	—	47	1	no	—
834	C₄⋊Q₈	C₄×D₄₇	1	1	yes	characteristic
835	#127	—	47	1	no	—
836	#127	—	47	1	no	—
837	#127	—	47	1	no	—
838	#127	C₄×D₄₇	1	1	yes	characteristic
839	#124	—	47	1	no	—
840	#124	—	47	1	no	—
841	#124	—	47	1	no	—
842	#124	—	47	1	no	—
843	#124	—	47	1	no	—
844	#124	—	47	1	no	—
845	#124	C₄×D₄₇	1	1	yes	characteristic
846	#124	C₄×D₄₇	1	1	yes	characteristic
847	#123	—	47	2	no	—
848	#123	—	47	2	no	—
849	#123	—	47	2	no	—
850	#123	—	47	2	no	—
851	#123	—	47	2	no	—
852	#123	—	47	2	no	—
853	#123	—	47	2	no	—
854	#123	—	47	2	no	—
855	C₂²⋊Q₈	—	47	2	no	—
856	C₂²⋊Q₈	—	47	2	no	—
857	C₂²⋊Q₈	—	47	2	no	—
858	C₂²⋊Q₈	—	47	2	no	—
859	C₂²⋊Q₈	—	47	2	no	—
860	C₂²⋊Q₈	—	47	2	no	—
861	C₂²⋊Q₈	—	47	2	no	—
862	C₂²⋊Q₈	—	47	2	no	—
863	#121	—	47	2	no	—
864	#121	—	47	2	no	—
865	#121	—	47	2	no	—
866	#121	—	47	2	no	—
867	#121	—	47	2	no	—
868	#121	—	47	2	no	—
869	#121	—	47	2	no	—
870	#121	—	47	2	no	—
871	#121	—	47	2	no	—
872	#121	—	47	2	no	—
873	#121	—	47	2	no	—
874	#121	—	47	2	no	—
875	#121	—	47	2	no	—
876	#121	—	47	2	no	—
877	#121	C₄×D₄₇	1	2	yes	—
878	#121	C₄×D₄₇	1	2	yes	—
879	#120	—	47	2	no	—
880	#120	—	47	2	no	—
881	#120	—	47	2	no	—
882	#120	—	47	2	no	—
883	#120	—	47	2	no	—
884	#120	—	47	2	no	—
885	#120	—	47	2	no	—
886	#120	—	47	2	no	—
887	C₄×D₄	—	47	2	no	—
888	C₄×D₄	—	47	2	no	—
889	C₄×D₄	—	47	2	no	—
890	C₄×D₄	—	47	2	no	—
891	C₄×D₄	—	47	2	no	—
892	C₄×D₄	—	47	2	no	—
893	C₄×D₄	C₂²×D₄₇	1	2	yes	—
894	C₄×D₄	C₂²×D₄₇	1	2	yes	—
895	#117	—	47	1	no	—
896	#117	—	47	1	no	—
897	#117	—	47	1	no	—
898	#117	—	47	1	no	—
899	#117	—	47	1	no	—
900	#117	—	47	1	no	—
901	#117	—	47	1	no	—
902	#117	—	47	1	no	—
903	C₂×C₄⋊C₄	—	47	1	no	—
904	C₂×C₄⋊C₄	—	47	1	no	—
905	C₂×C₂²⋊C₄	—	47	1	no	—
906	C₂×C₂²⋊C₄	—	47	1	no	—
907	C₂×C₄²	—	47	1	no	—
908	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
909	C₄⋊C₈	—	47	2	no	—
910	C₄⋊C₈	—	47	2	no	—
911	C₄⋊C₈	—	47	2	no	—
912	C₄⋊C₈	—	47	2	no	—
913	C₄⋊C₈	—	47	1	no	—
914	C₄⋊C₈	—	47	1	no	—
915	C₄⋊C₈	—	47	1	no	—
916	C₄⋊C₈	—	47	1	no	—
917	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
918	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
919	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
920	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
921	C₂²⋊C₈	—	47	2	no	—
922	C₂²⋊C₈	—	47	2	no	—
923	C₂²⋊C₈	—	47	2	no	—
924	C₂²⋊C₈	—	47	2	no	—
925	C₂²⋊C₈	—	47	1	no	—
926	C₂²⋊C₈	—	47	1	no	—
927	C₂²⋊C₈	—	47	1	no	—
928	C₂²⋊C₈	—	47	1	no	—
929	C₂²⋊C₈	—	47	1	no	—
930	C₂²⋊C₈	—	47	1	no	—
931	C₂²⋊C₈	—	47	2	no	—
932	C₂²⋊C₈	—	47	2	no	—
933	C₂²⋊C₈	—	47	2	no	—
934	C₂²⋊C₈	—	47	2	no	—
935	C₂²⋊C₈	—	47	1	no	—
936	C₂²⋊C₈	—	47	1	no	—
937	C₂²⋊C₈	—	47	2	no	—
938	C₂²⋊C₈	—	47	2	no	—
939	C₂²⋊C₈	—	47	2	no	—
940	C₂²⋊C₈	—	47	2	no	—
941	C₂²⋊C₈	—	47	2	no	—
942	C₂²⋊C₈	—	47	2	no	—
943	C₂²⋊C₈	—	47	2	no	—
944	C₂²⋊C₈	—	47	2	no	—
945	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
946	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
947	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
948	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
949	#97	—	47	1	no	—
950	#97	—	47	1	no	—
951	#97	—	47	1	no	—
952	#97	—	47	1	no	—
953	#97	—	47	2	no	—
954	#97	C₂²×D₄₇	1	2	yes	—
955	C₄×C₈	—	47	1	no	—
956	C₄×C₈	—	47	1	no	—
957	C₄×C₈	—	47	1	no	—
958	C₄×C₈	—	47	1	no	—
959	C₄×C₈	—	47	2	no	—
960	C₄×C₈	C₂²×D₄₇	1	2	yes	—
961	C₂⁴	—	47	1	no	—
962	C₂⁴	—	47	2	no	—
963	C₂⁴	—	47	2	no	—
964	#41	—	2	2	no	—
965	#41	—	2	2	no	—
966	#41	—	2	2	no	—
967	#41	—	2	2	no	—
968	#41	—	94	2	no	—
969	#41	—	94	2	no	—
970	#41	—	94	2	no	—
971	#41	—	94	2	no	—
972	#41	—	188	2	no	—
973	#41	—	188	2	no	—
974	#41	—	188	2	no	—
975	#41	—	188	2	no	—
976	#41	—	188	4	no	—
977	#41	—	188	4	no	—
978	#41	—	188	2	no	—
979	#41	—	188	2	no	—
980	#41	—	188	2	no	—
981	#41	—	188	2	no	—
982	C₂×Q₈	—	47	1	no	—
983	C₂×Q₈	—	47	1	no	—
984	C₂×Q₈	—	47	2	no	—
985	C₂×Q₈	—	47	2	no	—
986	C₂×Q₈	—	188	2	no	—
987	C₂×Q₈	—	188	2	no	—
988	C₂×Q₈	C₂×C₄×D₄₇	1	1	yes	characteristic
989	C₂×Q₈	C₂×C₄×D₄₇	1	1	yes	characteristic
990	C₂×D₄	—	47	2	no	—
991	C₂×D₄	—	47	2	no	—
992	C₂×D₄	—	47	2	no	—
993	C₂×D₄	—	47	2	no	—
994	C₂×D₄	—	47	2	no	—
995	C₂×D₄	—	47	2	no	—
996	C₂×D₄	—	47	2	no	—
997	C₂×D₄	—	47	2	no	—
998	C₂×D₄	—	47	2	no	—
999	C₂×D₄	—	47	2	no	—
1000	C₂×D₄	—	47	1	no	—
1001	C₂×D₄	—	47	1	no	—
1002	C₂×D₄	—	47	2	no	—
1003	C₂×D₄	—	47	2	no	—
1004	C₂×D₄	—	47	2	no	—
1005	C₂×D₄	—	47	2	no	—
1006	C₂×D₄	—	188	2	no	—
1007	C₂×D₄	—	188	2	no	—
1008	C₂×D₄	—	188	4	no	—
1009	C₂×D₄	—	188	4	no	—
1010	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
1011	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
1012	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1013	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1014	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
1015	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
1016	C₂²×C₄	—	47	1	no	—
1017	C₂²×C₄	—	47	1	no	—
1018	C₂²×C₄	—	47	1	no	—
1019	C₂²×C₄	—	47	2	no	—
1020	C₂²×C₄	—	47	2	no	—
1021	C₂²×C₄	—	47	1	no	—
1022	C₂²×C₄	—	47	1	no	—
1023	C₂²×C₄	—	47	1	no	—
1024	C₂²×C₄	—	47	1	no	—
1025	C₂²×C₄	—	47	2	no	—
1026	C₂²×C₄	—	47	2	no	—
1027	C₂²×C₄	—	47	2	no	—
1028	C₂²×C₄	—	47	2	no	—
1029	C₂²×C₄	—	47	2	no	—
1030	C₂²×C₄	—	47	2	no	—
1031	C₂²×C₄	—	94	2	no	—
1032	C₂²×C₄	—	94	2	no	—
1033	C₂²×C₄	—	188	2	no	—
1034	C₂²×C₄	—	188	2	no	—
1035	C₂²×C₄	—	188	2	no	—
1036	C₂²×C₄	—	188	2	no	—
1037	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1038	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1039	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1040	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1041	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1042	M₁₆	—	2	2	no	—
1043	M₁₆	—	2	2	no	—
1044	M₁₆	—	4	2	no	—
1045	M₁₆	—	4	2	no	—
1046	M₁₆	—	94	2	no	—
1047	M₁₆	—	94	2	no	—
1048	M₁₆	—	188	2	no	—
1049	M₁₆	—	188	2	no	—
1050	M₁₆	—	188	2	no	—
1051	M₁₆	—	188	2	no	—
1052	M₁₆	—	188	2	no	—
1053	M₁₆	—	188	2	no	—
1054	C₂×C₈	—	2	2	no	—
1055	C₂×C₈	—	2	2	no	—
1056	C₂×C₈	—	4	2	no	—
1057	C₂×C₈	—	4	2	no	—
1058	C₂×C₈	—	47	1	no	—
1059	C₂×C₈	—	47	1	no	—
1060	C₂×C₈	—	47	2	no	—
1061	C₂×C₈	—	47	2	no	—
1062	C₂×C₈	—	47	1	no	—
1063	C₂×C₈	—	47	1	no	—
1064	C₂×C₈	—	94	2	no	—
1065	C₂×C₈	—	94	2	no	—
1066	C₂×C₈	—	188	2	no	—
1067	C₂×C₈	—	188	2	no	—
1068	C₂×C₈	—	188	2	no	—
1069	C₂×C₈	—	188	2	no	—
1070	C₂×C₈	—	188	2	no	—
1071	C₂×C₈	—	188	2	no	—
1072	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1073	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1074	C₂×C₈	C₂³×D₄₇	1	2	yes	—
1075	C₂×C₈	C₂³×D₄₇	1	2	yes	—
1076	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1077	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1078	C₄⋊C₄	—	47	1	no	—
1079	C₄⋊C₄	—	47	1	no	—
1080	C₄⋊C₄	—	47	1	no	—
1081	C₄⋊C₄	—	47	1	no	—
1082	C₄⋊C₄	—	47	1	no	—
1083	C₄⋊C₄	—	47	1	no	—
1084	C₄⋊C₄	—	47	1	no	—
1085	C₄⋊C₄	—	47	1	no	—
1086	C₄⋊C₄	—	47	2	no	—
1087	C₄⋊C₄	—	47	2	no	—
1088	C₄⋊C₄	—	47	2	no	—
1089	C₄⋊C₄	—	47	2	no	—
1090	C₄⋊C₄	—	47	2	no	—
1091	C₄⋊C₄	—	47	2	no	—
1092	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1093	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1094	C₂²⋊C₄	—	47	2	no	—
1095	C₂²⋊C₄	—	47	2	no	—
1096	C₂²⋊C₄	—	47	2	no	—
1097	C₂²⋊C₄	—	47	2	no	—
1098	C₂²⋊C₄	—	47	1	no	—
1099	C₂²⋊C₄	—	47	1	no	—
1100	C₂²⋊C₄	—	47	1	no	—
1101	C₂²⋊C₄	—	47	1	no	—
1102	C₂²⋊C₄	—	47	1	no	—
1103	C₂²⋊C₄	—	47	1	no	—
1104	C₂²⋊C₄	—	47	1	no	—
1105	C₂²⋊C₄	—	47	1	no	—
1106	C₂²⋊C₄	—	47	2	no	—
1107	C₂²⋊C₄	—	47	2	no	—
1108	C₂²⋊C₄	—	47	2	no	—
1109	C₂²⋊C₄	—	47	2	no	—
1110	C₂²⋊C₄	—	47	2	no	—
1111	C₂²⋊C₄	—	47	2	no	—
1112	C₂²⋊C₄	—	47	2	no	—
1113	C₂²⋊C₄	—	47	2	no	—
1114	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1115	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1116	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1117	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1118	C₄²	—	47	1	no	—
1119	C₄²	—	47	1	no	—
1120	C₄²	—	47	1	no	—
1121	C₄²	—	47	1	no	—
1122	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
1123	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
1124	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1125	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1126	C₂³	—	47	1	no	—
1127	C₂³	—	47	1	no	—
1128	C₂³	—	47	2	no	—
1129	C₂³	—	47	2	no	—
1130	C₂³	—	94	2	no	—
1131	C₂³	—	188	2	no	—
1132	C₂³	—	188	2	no	—
1133	C₂³	—	188	1	no	—
1134	C₂³	—	188	1	no	—
1135	C₂³	—	188	2	no	—
1136	C₂³	—	188	2	no	—
1137	C₂³	—	188	2	no	—
1138	C₂³	—	188	2	no	—
1139	C₂³	C₂²×C₄×D₄₇	1	2	yes	—
1140	C₂³	C₂²×C₄×D₄₇	1	2	yes	—
1141	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1142	Q₈	—	2	2	no	—
1143	Q₈	—	2	2	no	—
1144	Q₈	—	94	2	no	—
1145	Q₈	—	94	2	no	—
1146	Q₈	—	188	2	no	—
1147	Q₈	—	188	2	no	—
1148	D₄	—	2	4	no	—
1149	D₄	—	2	4	no	—
1150	D₄	—	2	2	no	—
1151	D₄	—	2	2	no	—
1152	D₄	—	4	2	no	—
1153	D₄	—	4	2	no	—
1154	D₄	—	94	4	no	—
1155	D₄	—	94	4	no	—
1156	D₄	—	94	2	no	—
1157	D₄	—	94	2	no	—
1158	D₄	—	188	2	no	—
1159	D₄	—	188	2	no	—
1160	D₄	—	188	2	no	—
1161	D₄	—	188	2	no	—
1162	D₄	—	188	2	no	—
1163	D₄	—	188	2	no	—
1164	D₄	—	188	2	no	—
1165	D₄	—	188	2	no	—
1166	D₄	—	188	2	no	—
1167	D₄	—	188	2	no	—
1168	D₄	—	188	2	no	—
1169	D₄	—	188	2	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	2	no	—
1172	C₂×C₄	—	2	2	no	—
1173	C₂×C₄	—	2	2	no	—
1174	C₂×C₄	—	4	1	no	—
1175	C₂×C₄	—	4	1	no	—
1176	C₂×C₄	—	47	1	no	—
1177	C₂×C₄	—	47	1	no	—
1178	C₂×C₄	—	47	1	no	—
1179	C₂×C₄	—	47	1	no	—
1180	C₂×C₄	—	47	2	no	—
1181	C₂×C₄	—	47	2	no	—
1182	C₂×C₄	—	47	1	no	—
1183	C₂×C₄	—	47	1	no	—
1184	C₂×C₄	—	94	2	no	—
1185	C₂×C₄	—	94	2	no	—
1186	C₂×C₄	—	94	2	no	—
1187	C₂×C₄	—	94	2	no	—
1188	C₂×C₄	—	94	2	no	—
1189	C₂×C₄	—	94	1	no	—
1190	C₂×C₄	—	94	1	no	—
1191	C₂×C₄	—	94	2	no	—
1192	C₂×C₄	—	94	2	no	—
1193	C₂×C₄	—	94	1	no	—
1194	C₂×C₄	—	94	1	no	—
1195	C₂×C₄	—	188	2	no	—
1196	C₂×C₄	—	188	2	no	—
1197	C₂×C₄	—	188	2	no	—
1198	C₂×C₄	—	188	2	no	—
1199	C₂×C₄	—	188	1	no	—
1200	C₂×C₄	—	188	1	no	—
1201	C₂×C₄	—	188	2	no	—
1202	C₂×C₄	—	188	2	no	—
1203	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1204	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1205	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1206	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1207	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1208	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1209	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1210	C₂×C₄	#13094069	1	2	yes	—
1211	C₂×C₄	#13094070	1	2	yes	—
1212	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1213	C₈	—	2	1	no	—
1214	C₈	—	2	1	no	—
1215	C₈	—	2	1	no	—
1216	C₈	—	2	1	no	—
1217	C₈	—	2	2	no	—
1218	C₈	—	2	2	no	—
1219	C₈	—	94	2	no	—
1220	C₈	—	94	1	no	—
1221	C₈	—	94	1	no	—
1222	C₈	—	94	1	no	—
1223	C₈	—	94	1	no	—
1224	C₈	—	94	2	no	—
1225	C₂²	—	2	1	no	—
1226	C₂²	—	2	1	no	—
1227	C₂²	—	2	2	no	—
1228	C₂²	—	2	2	no	—
1229	C₂²	—	2	2	no	—
1230	C₂²	—	2	2	no	—
1231	C₂²	—	2	2	no	—
1232	C₂²	—	2	2	no	—
1233	C₂²	—	94	2	no	—
1234	C₂²	—	94	2	no	—
1235	C₂²	—	94	1	no	—
1236	C₂²	—	94	1	no	—
1237	C₂²	—	94	2	no	—
1238	C₂²	—	94	2	no	—
1239	C₂²	—	94	1	no	—
1240	C₂²	—	94	1	no	—
1241	C₂²	—	94	1	no	—
1242	C₂²	—	94	1	no	—
1243	C₂²	—	94	2	no	—
1244	C₂²	—	94	2	no	—
1245	C₂²	—	376	2	no	—
1246	C₂²	—	376	4	no	—
1247	C₂²	—	376	4	no	—
1248	C₂²	#15689595	1	2	yes	—
1249	C₂²	C₂³×C₄×D₄₇	1	1	yes	characteristic
1250	C₄	—	2	1	no	—
1251	C₄	—	2	1	no	—
1252	C₄	—	2	1	no	—
1253	C₄	—	2	1	no	—
1254	C₄	—	2	2	no	—
1255	C₄	—	2	2	no	—
1256	C₄	—	94	1	no	—
1257	C₄	—	94	1	no	—
1258	C₄	—	94	1	no	—
1259	C₄	—	94	1	no	—
1260	C₄	—	94	1	no	—
1261	C₄	—	94	1	no	—
1262	C₄	—	94	2	no	—
1263	C₄	—	94	2	no	—
1264	C₄	#15689595	1	2	yes	—
1265	C₄	C₂×#13094069	1	1	yes	characteristic
1266	C₄	C₂×#13094070	1	1	yes	characteristic
1267	C₂	—	2	2	no	—
1268	C₂	—	4	2	no	—
1269	C₂	—	4	2	no	—
1270	C₂	—	188	1	no	—
1271	C₂	—	188	1	no	—
1272	C₂	—	188	2	no	—
1273	C₂	—	188	2	no	—
1274	C₂	C₂×#15689595	1	1	yes	characteristic
1275	C₂	#20258099	1	1	yes	characteristic
1276	C₂	#20258101	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁴×C₄
Fitting	C₄₇×#2935	C₂
prime radical	#20256715	C₂
cosocle	C₂×C₄×C₄₇	C₂⁵
hypercenter	#2935	D₄₇
hypocenter	C₄₇	#60238
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ #2935

Complements

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

N	H ≅ G/N	type
2. #20252447	C₂	semidirect
3. #20252445	C₂	semidirect
4. #20252441	C₂	semidirect
5. #20252439	C₂	semidirect
6. #20252437	C₂	semidirect
7. #20252435	C₂	semidirect
8. #20252432	C₂	semidirect
9. #20252430	C₂	semidirect
10. #20252134	C₂	semidirect
11. #20252132	C₂	semidirect
12. #20252131	C₂	semidirect
13. #20252104	C₂	semidirect
14. #20252103	C₂	semidirect
15. #20252098	C₂	semidirect
16. #20252096	C₂	semidirect
17. #20252024	C₂	semidirect
18. C₂×#15689183	C₂	semidirect
19. #20251836	C₂	semidirect
20. #20251836	C₂	semidirect
21. #20251835	C₂	semidirect
22. #20251835	C₂	semidirect
23. C₄₇×#2935	C₂	semidirect
26. C₂×#13094032	C₂²	semidirect
27. C₂×#13094032	C₂²	semidirect
28. C₂×#13094031	C₂²	semidirect
29. C₂×#13094031	C₂²	semidirect
30. C₂×#13094030	C₂²	semidirect
31. C₂×#13094030	C₂²	semidirect
52. #15689202	C₂²	semidirect
53. #15689201	C₂²	semidirect
54. #15689200	C₂²	semidirect
55. #15689199	C₂²	semidirect
56. #15689199	C₂²	semidirect
57. #15689198	C₂²	semidirect
58. #15689198	C₂²	semidirect
59. #15689197	C₂²	semidirect
60. #15689197	C₂²	semidirect
61. #15689196	C₂²	semidirect
62. #15689196	C₂²	semidirect
63. #15689195	C₂²	semidirect
64. #15689195	C₂²	semidirect
65. #15689194	C₂²	semidirect
66. #15689194	C₂²	semidirect
67. #15689193	C₂²	semidirect
68. #15689193	C₂²	semidirect
69. #15689192	C₂²	semidirect
70. #15689192	C₂²	semidirect
71. #15689191	C₂²	semidirect
72. #15689191	C₂²	semidirect
73. C₈×D₁₈₈	C₂²	semidirect
74. D₄×C₄₇⋊C₈	C₂²	semidirect
75. #15689188	C₂²	semidirect
76. C₈×C₂²⋊D₄₇	C₂²	semidirect
77. C₈×C₂²⋊D₄₇	C₂²	semidirect
78. (C₂²⋊D₄₇)⋊C₈	C₂²	semidirect
79. (C₂²⋊D₄₇)⋊C₈	C₂²	semidirect
80. #15689185	C₂²	semidirect
81. #15689185	C₂²	semidirect
82. #15689183	C₂²	semidirect
83. #15689183	C₂²	semidirect
84. #15689183	C₂²	semidirect
85. #15689183	C₂²	semidirect
86. #15689183	C₂²	semidirect
87. #15689183	C₂²	semidirect
88. #15689183	C₂²	semidirect
89. #15689183	C₂²	semidirect
90. #15689182	C₂²	semidirect
91. #15689182	C₂²	semidirect
92. #15689146	C₂²	semidirect
93. #15689146	C₂²	semidirect
94. C₂×C₄⋊(C₄₇⋊C₈)	C₂²	semidirect
97. #15689091	C₂²	semidirect
98. #15689091	C₂²	semidirect
99. #15689090	C₂²	semidirect
100. #15689090	C₂²	semidirect
103. #15689089	C₂²	semidirect
104. #15689089	C₂²	semidirect
111. #15689086	C₂²	semidirect
112. #15689086	C₂²	semidirect
113. #15689085	C₂²	semidirect
114. #15689085	C₂²	semidirect
117. C₂×(C₂×D₄₇)⋊C₈	C₂²	semidirect
118. C₂×(C₂×D₄₇)⋊C₈	C₂²	semidirect
119. C₂²⋊C₈×D₄₇	C₂²	semidirect
120. C₂²⋊C₈×D₄₇	C₂²	semidirect
121. C₄×#10625329	C₂²	semidirect
122. C₂×#13093934	C₂²	semidirect
123. C₂×C₈×Dic₄₇	C₂²	semidirect
124. C₂×#131×C₄₇	C₂²	semidirect
125. C₂×#131×C₄₇	C₂²	semidirect
127. C₄₇×#436	C₂²	semidirect
128. C₄₇×#435	C₂²	semidirect
129. C₄₇×#435	C₂²	semidirect
130. C₈×D₄×C₄₇	C₂²	semidirect
131. C₂×C₄⋊C₈×C₄₇	C₂²	semidirect
132. C₄₇×#408	C₂²	semidirect
133. C₄₇×#408	C₂²	semidirect
134. C₄×M₁₆×C₄₇	C₂²	semidirect
641. #2935	D₄₇	semidirect
670. C₂×#131	C₂×D₄₇	semidirect
671. C₂×#131	C₂×D₄₇	semidirect
700. #436	C₂×D₄₇	semidirect
715. #435	C₂×D₄₇	semidirect
716. #435	C₂×D₄₇	semidirect
724. C₈×D₄	C₂×D₄₇	semidirect
740. C₂×C₄⋊C₈	C₂×D₄₇	semidirect
755. #408	C₂×D₄₇	semidirect
756. #408	C₂×D₄₇	semidirect
770. C₄×M₁₆	C₂×D₄₇	semidirect
773. C₄₇	#60238	semidirect

Maximal subgroups

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

subgroup	index
#20256715	2
#20252447	2
#20252445	2
#20252441	2
#20252439	2
#20252437	2
#20252435	2
#20252432	2
#20252430	2
#20252134	2
#20252132	2
#20252131	2
#20252104	2
#20252103	2
#20252098	2
#20252096	2
#20252024	2
C₂×#15689183	2
#20251836	2
#20251835	2
C₄₇×#2935	2
#60238	47