Subgroups — #27080250

Order 12032.

2756 conjugacy classes of subgroups.

The subgroup lattice has 1356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689889	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#13094030	C₂	1	1	yes	maximal, characteristic, complemented
3	D₄×#10625350	C₂	1	1	yes	maximal, characteristic
4	#20252131	C₂	1	1	yes	maximal, characteristic, complemented
5	#20252129	C₂	1	2	yes	maximal, complemented
6	D₄×#10625329	C₂	1	1	yes	maximal, characteristic, complemented
7	#20252121	C₂	1	2	yes	maximal, complemented
8	#20252114	C₂	1	2	yes	maximal, complemented
9	#20252111	C₂	1	2	yes	maximal, complemented
10	#20252109	C₂	1	1	yes	maximal, characteristic, complemented
11	#20252109	C₂	1	1	yes	maximal, characteristic, complemented
12	#20252107	C₂	1	1	yes	maximal, characteristic, complemented
13	#20252102	C₂	1	2	yes	maximal, complemented
14	#20252091	C₂	1	1	yes	maximal, characteristic, complemented
15	#20252086	C₂	1	2	yes	maximal, complemented
16	#20252082	C₂	1	1	yes	maximal, characteristic, complemented
17	#20252079	C₂	1	2	yes	maximal, complemented
18	#435×D₄₇	C₂	1	2	yes	maximal, complemented
19	#20251953	C₂	1	1	yes	maximal, characteristic, complemented
20	#20251834	C₂	1	1	yes	maximal, characteristic, complemented
21	#20251834	C₂	1	1	yes	maximal, characteristic, complemented
22	#20251813	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄₇×#435	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#10625350	C₂²	1	1	yes	characteristic
25	C₂²×#10625350	C₂²	1	1	yes	characteristic
26	#15689889	—	2	8	no	—
27	C₂×#13094032	C₂²	1	2	yes	complemented
28	C₂×#13094032	C₂²	1	2	yes	complemented
29	C₂×#13094030	—	2	8	no	—
30	C₂×#13094030	C₂²	1	1	yes	characteristic
31	C₂×#13094030	C₂²	1	1	yes	characteristic
32	C₂×#13094030	C₂²	1	1	yes	characteristic
33	C₂×#13094030	C₂²	1	1	yes	characteristic
34	C₂×#13094030	C₂²	1	2	yes	complemented
35	C₂×#13094030	C₂²	1	1	yes	characteristic, complemented
36	C₂×#13094030	C₂²	1	1	yes	characteristic, complemented
37	C₂×#13094030	C₂²	1	2	yes	complemented
38	C₂×#13094030	C₂²	1	1	yes	characteristic, complemented
39	C₂×#13094030	C₂²	1	1	yes	characteristic, complemented
40	C₂²×#10625329	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#10625329	C₂²	1	1	yes	characteristic, complemented
42	C₂²×#10625324	C₂²	1	2	yes	complemented
43	C₂×M₁₆×D₄₇	C₂²	1	2	yes	complemented
44	C₂×M₁₆×D₄₇	C₂²	1	2	yes	complemented
45	C₂²×C₈×D₄₇	C₂²	1	2	yes	complemented
46	#15689794	C₄	1	1	yes	characteristic
47	D₄×Dic₉₄	C₄	1	1	yes	characteristic
48	#15689782	C₄	1	1	yes	characteristic
49	#15689782	C₄	1	1	yes	characteristic
50	#15689778	C₄	1	1	yes	characteristic
51	#15689774	C₄	1	2	yes	—
52	#15689769	C₄	1	1	yes	characteristic
53	#15689769	C₄	1	1	yes	characteristic
54	#15689763	C₄	1	2	yes	—
55	#15689763	C₄	1	2	yes	—
56	D₄×D₁₈₈	C₄	1	1	yes	characteristic
57	D₄×C₂²⋊D₄₇	C₄	1	2	yes	—
58	#15689673	C₂²	1	1	yes	characteristic
59	#15689670	C₂²	1	2	yes	—
60	#15689634	C₂²	1	1	yes	characteristic
61	#15689634	C₂²	1	1	yes	characteristic
62	#15689632	C₂²	1	2	yes	—
63	#15689632	C₂²	1	2	yes	—
64	C₄×#10625350	C₂²	1	1	yes	characteristic
65	C₄×D₄×D₄₇	C₂²	1	2	yes	—
66	#15689201	C₂²	1	2	yes	complemented
67	#15689200	C₂²	1	2	yes	complemented
68	#15689199	C₂²	1	2	yes	complemented
69	#15689199	C₂²	1	2	yes	complemented
70	#15689198	C₂²	1	2	yes	complemented
71	#15689198	C₂²	1	2	yes	complemented
72	#15689197	C₂²	1	2	yes	complemented
73	#15689197	C₂²	1	2	yes	complemented
74	#15689196	C₂²	1	2	yes	complemented
75	#15689196	C₂²	1	2	yes	complemented
76	#15689196	C₂²	1	2	yes	complemented
77	#15689196	C₂²	1	2	yes	complemented
78	#15689195	C₂²	1	2	yes	—
79	#15689195	C₂²	1	2	yes	complemented
80	#15689194	C₂²	1	2	yes	complemented
81	#15689194	C₂²	1	2	yes	complemented
82	#15689193	C₂²	1	2	yes	complemented
83	#15689193	C₂²	1	2	yes	complemented
84	#15689192	C₂²	1	2	yes	complemented
85	#15689192	C₂²	1	2	yes	complemented
86	#15689191	C₂²	1	2	yes	complemented
87	#15689191	C₂²	1	2	yes	complemented
88	D₄×C₄₇⋊C₈	C₂²	1	2	yes	complemented
89	#15689188	C₂²	1	2	yes	complemented
90	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
91	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
92	(C₂²⋊D₄₇)⋊C₈	C₂²	1	2	yes	complemented
93	(C₂²⋊D₄₇)⋊C₈	C₂²	1	2	yes	complemented
94	#15689149	C₂²	1	1	yes	characteristic, complemented
95	#15689149	C₂²	1	1	yes	characteristic, complemented
96	#15689148	C₂²	1	2	yes	complemented
97	#15689148	C₂²	1	2	yes	complemented
98	#15689147	C₂²	1	1	yes	characteristic, complemented
99	#15689145	C₂²	1	2	yes	complemented
100	C₄⋊C₈×D₄₇	C₂²	1	2	yes	complemented
101	#15689089	C₂²	1	1	yes	characteristic, complemented
102	#15689089	C₂²	1	1	yes	characteristic, complemented
103	#15689089	C₂²	1	1	yes	characteristic, complemented
104	#15689089	C₂²	1	1	yes	characteristic, complemented
105	#15689088	C₂²	1	2	yes	complemented
106	#15689088	C₂²	1	2	yes	complemented
107	#15689088	C₂²	1	2	yes	complemented
108	#15689088	C₂²	1	2	yes	complemented
109	#15689087	C₂²	1	1	yes	characteristic, complemented
110	#15689087	C₂²	1	1	yes	characteristic, complemented
111	#15689085	C₂²	1	2	yes	complemented
112	#15689085	C₂²	1	2	yes	complemented
113	C₂²⋊C₈×D₄₇	C₂²	1	2	yes	complemented
114	C₂²⋊C₈×D₄₇	C₂²	1	2	yes	complemented
115	#15689080	C₂²	1	2	yes	complemented
116	#15689080	C₂²	1	2	yes	complemented
117	#15689078	C₂²	1	1	yes	characteristic, complemented
118	#15689078	C₂²	1	1	yes	characteristic, complemented
119	C₄×#10625329	C₂²	1	1	yes	characteristic, complemented
120	#15689075	C₂²	1	2	yes	complemented
121	#97×D₄₇	C₂²	1	2	yes	complemented
122	C₂²×M₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
123	C₂³×C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
125	C₄₇×#435	C₂²	1	1	yes	characteristic
126	C₄₇×#435	C₂²	1	1	yes	characteristic
127	C₄₇×#435	C₂²	1	1	yes	characteristic, complemented
128	C₄₇×#435	C₂²	1	1	yes	characteristic, complemented
129	C₄₇×#435	C₂²	1	1	yes	characteristic, complemented
130	C₄₇×#435	C₂²	1	1	yes	characteristic, complemented
131	C₄₇×#435	C₂²	1	1	yes	characteristic, complemented
132	C₄₇×#435	C₂²	1	1	yes	characteristic, complemented
133	C₂×C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₂²⋊C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₂²⋊C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
136	C₂×#97×C₄₇	C₂²	1	1	yes	characteristic, complemented
137	C₂×#10625350	—	2	4	no	—
138	C₂×#10625350	—	2	4	no	—
139	C₂×#10625350	—	2	4	no	—
140	C₂×#10625350	—	2	4	no	—
141	C₂×#10625350	C₂×C₄	1	2	yes	—
142	C₂×#10625350	C₂×C₄	1	2	yes	—
143	C₂×#10625350	C₂×C₄	1	1	yes	characteristic
144	C₂×#10625350	C₂×C₄	1	1	yes	characteristic
145	C₂×#10625350	C₂×C₄	1	1	yes	characteristic
146	C₂×#10625350	C₂×C₄	1	1	yes	characteristic
147	C₂×#10625350	C₂³	1	2	yes	—
148	C₂×#10625350	C₂³	1	2	yes	—
149	C₂×#10625350	C₂³	1	1	yes	characteristic
150	C₂×#10625350	C₂³	1	1	yes	characteristic
151	C₂×#10625350	C₂³	1	1	yes	characteristic
152	C₂²×Dic₉₄	C₂×C₄	1	1	yes	characteristic
153	C₂²×Dic₉₄	C₂×C₄	1	1	yes	characteristic
154	C₂²×D₁₈₈	C₂×C₄	1	1	yes	characteristic
155	C₂²×D₁₈₈	C₂×C₄	1	1	yes	characteristic
156	C₂²×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
157	C₂²×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
158	C₂×D₄×D₄₇	C₂×C₄	1	2	yes	—
159	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
160	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
161	#13094032	—	2	8	no	—
162	#13094032	—	2	8	no	—
163	#13094030	—	2	4	no	—
164	#13094030	—	2	4	no	—
165	#13094030	—	2	4	no	—
166	#13094030	—	2	4	no	—
167	#13094030	—	2	4	no	—
168	#13094030	—	2	4	no	—
169	#13094030	—	2	4	no	—
170	#13094030	—	2	8	no	—
171	#13094030	—	2	8	no	—
172	#13094030	D₄	1	8	yes	complemented
173	C₂×#10625329	—	2	4	no	—
174	C₂×#10625329	—	2	4	no	—
175	C₂×#10625329	C₂³	1	1	yes	characteristic
176	C₂×#10625329	C₂³	1	1	yes	characteristic
177	C₂×#10625329	C₂³	1	1	yes	characteristic
178	C₂×#10625329	C₂³	1	2	yes	—
179	C₂×#10625329	C₂³	1	2	yes	—
180	C₂×#10625329	C₂³	1	1	yes	characteristic
181	C₂×#10625324	—	2	8	no	—
182	C₂×#10625324	C₂³	1	2	yes	—
183	C₂×#10625324	C₂³	1	2	yes	—
184	C₂×#10625324	C₂³	1	2	yes	—
185	C₂×#10625324	C₂³	1	2	yes	—
186	C₂×#10625324	C₂³	1	2	yes	—
187	C₂×#10625324	C₂³	1	2	yes	—
188	C₂×#10625324	C₂³	1	2	yes	—
189	C₂×#10625324	C₂³	1	2	yes	—
190	M₁₆×D₄₇	—	2	8	no	—
191	M₁₆×D₄₇	—	2	8	no	—
192	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
193	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
194	C₂×C₈×D₄₇	—	2	8	no	—
195	C₂×C₈×D₄₇	C₂³	1	2	yes	—
196	C₂×C₈×D₄₇	C₂³	1	2	yes	—
197	C₂×C₈×D₄₇	C₂³	1	2	yes	—
198	C₂×C₈×D₄₇	C₂³	1	2	yes	—
199	C₂×C₈×D₄₇	C₂³	1	2	yes	—
200	C₂×C₈×D₄₇	C₂³	1	2	yes	—
201	C₂×C₈×D₄₇	C₂³	1	2	yes	—
202	C₂×C₈×D₄₇	C₂³	1	2	yes	—
203	#13094024	C₂×C₄	1	1	yes	characteristic
204	#13094023	C₂×C₄	1	2	yes	—
205	#13094021	C₂×C₄	1	1	yes	characteristic
206	#13094020	C₂×C₄	1	2	yes	—
207	#13094012	C₂×C₄	1	1	yes	characteristic
208	#13094012	C₂×C₄	1	1	yes	characteristic
209	#13094010	C₂×C₄	1	2	yes	—
210	#13094010	C₂×C₄	1	2	yes	—
211	#13094009	C₂×C₄	1	2	yes	—
212	#13094009	C₂×C₄	1	2	yes	—
213	#13094007	C₂×C₄	1	2	yes	—
214	#13094007	C₂×C₄	1	2	yes	—
215	#13094006	C₂×C₄	1	2	yes	—
216	#13094006	C₂×C₄	1	2	yes	—
217	#13094003	C₂×C₄	1	1	yes	characteristic
218	#13094003	C₂×C₄	1	1	yes	characteristic
219	#13094003	C₂×C₄	1	1	yes	characteristic
220	#13094003	C₂×C₄	1	1	yes	characteristic
221	#13094002	C₂×C₄	1	2	yes	—
222	#13094002	C₂×C₄	1	2	yes	—
223	#13094001	C₂×C₄	1	2	yes	—
224	#13094001	C₂×C₄	1	2	yes	—
225	#13093999	C₂×C₄	1	2	yes	—
226	#13093998	C₂×C₄	1	2	yes	—
227	#13093998	C₂×C₄	1	1	yes	characteristic
228	#13093998	C₂×C₄	1	1	yes	characteristic
229	#13093998	C₂×C₄	1	2	yes	—
230	#13093998	C₂×C₄	1	1	yes	characteristic
231	#13093998	C₂×C₄	1	1	yes	characteristic
232	#13093997	C₂×C₄	1	2	yes	—
233	#13093997	C₂×C₄	1	2	yes	—
234	#13093997	C₂×C₄	1	2	yes	—
235	#13093997	C₂×C₄	1	2	yes	—
236	#13093996	C₂×C₄	1	2	yes	—
237	#13093996	C₂×C₄	1	2	yes	—
238	#13093995	C₂×C₄	1	2	yes	—
239	#13093994	C₂×C₄	1	2	yes	—
240	#13093994	C₂×C₄	1	2	yes	—
241	#13093993	C₂×C₄	1	2	yes	—
242	#13093993	C₂×C₄	1	2	yes	—
243	#13093992	C₂×C₄	1	2	yes	—
244	#13093992	C₂×C₄	1	2	yes	—
245	C₄×Dic₉₄	C₂×C₄	1	1	yes	characteristic
246	C₄×Dic₉₄	C₂×C₄	1	1	yes	characteristic
247	C₄×D₁₈₈	C₂×C₄	1	1	yes	characteristic
248	C₄×D₁₈₈	C₂×C₄	1	1	yes	characteristic
249	C₄×D₁₈₈	C₂³	1	2	yes	—
250	C₄×D₁₈₈	C₂³	1	2	yes	—
251	D₄×Dic₄₇	C₂×C₄	1	2	yes	—
252	#13093986	C₂×C₄	1	2	yes	—
253	C₄×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
254	C₄×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
255	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
256	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
257	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
258	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
259	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
260	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
261	#13093983	C₂³	1	1	yes	characteristic
262	#13093981	C₂³	1	2	yes	—
263	C₄⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
264	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
265	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
266	C₄²×D₄₇	C₂³	1	2	yes	—
267	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
268	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
269	Dic₄₇⋊C₈	C₂³	1	2	yes	—
270	Dic₄₇⋊C₈	C₂³	1	2	yes	—
271	Dic₄₇⋊C₈	C₂³	1	2	yes	—
272	Dic₄₇⋊C₈	C₂³	1	2	yes	—
273	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
274	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
275	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
276	C₂²⋊(C₄₇⋊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	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
282	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
283	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
284	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
285	#13093935	C₂³	1	2	yes	—
286	#13093934	C₂³	1	2	yes	—
287	#13093934	C₂³	1	2	yes	—
288	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
289	C₈×Dic₄₇	C₂³	1	2	yes	—
290	C₈×Dic₄₇	C₂³	1	2	yes	—
291	C₂²×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
292	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
293	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
294	C₂×M₁₆×C₄₇	—	2	4	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	1	yes	characteristic
298	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
299	C₂²×C₈×C₄₇	—	2	4	no	—
300	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
301	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
302	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
303	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
304	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
305	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
306	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
307	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
308	C₄×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
309	C₄×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
310	C₄×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
311	C₄×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
312	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
313	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
314	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
315	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
317	C₂×C₂²⋊C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
318	C₂×C₂²⋊C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
319	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
320	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
321	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
322	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
323	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
324	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
325	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
326	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
327	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
328	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
329	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
330	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
331	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
332	#97×C₄₇	C₂³	1	1	yes	characteristic
333	#97×C₄₇	C₂³	1	1	yes	characteristic
334	#97×C₄₇	C₂³	1	1	yes	characteristic
335	#97×C₄₇	C₂³	1	1	yes	characteristic
336	C₂⁴×C₄₇	C₂²×C₄	1	1	yes	characteristic
337	C₂⁴×C₄₇	C₂²×C₄	1	1	yes	characteristic
338	C₂³×D₄₇	C₂²×C₄	1	2	yes	—
339	C₂³×D₄₇	C₂²×C₄	1	2	yes	—
340	C₂×D₄×C₄₇	—	4	2	no	—
341	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
342	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
343	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
344	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
345	C₂²×C₄×C₄₇	—	2	2	no	—
346	C₂²×C₄×C₄₇	—	2	2	no	—
347	C₂²×C₄×C₄₇	—	2	2	no	—
348	C₂²×C₄×C₄₇	—	2	2	no	—
349	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
350	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
351	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
352	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
353	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
354	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
355	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
356	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
357	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
362	C₂×C₂²⋊D₄₇	—	2	8	no	—
363	C₂×C₂²⋊D₄₇	—	2	8	no	—
364	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
365	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
366	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
367	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
368	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
369	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
370	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
371	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
372	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
373	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
374	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
375	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
376	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
377	D₄×D₄₇	—	4	4	no	—
378	#10625350	—	2	2	no	—
379	#10625350	—	2	2	no	—
380	#10625350	—	2	2	no	—
381	#10625350	—	2	2	no	—
382	#10625350	—	2	8	no	—
383	#10625350	—	2	8	no	—
384	#10625350	—	2	4	no	—
385	#10625350	—	2	4	no	—
386	#10625350	—	2	4	no	—
387	#10625350	—	2	4	no	—
388	#10625350	—	2	4	no	—
389	#10625350	—	2	4	no	—
390	#10625350	—	2	4	no	—
391	#10625350	—	2	4	no	—
392	#10625350	C₂×D₄	1	4	yes	—
393	#10625350	#41	1	4	yes	—
394	C₂×D₁₈₈	—	2	4	no	—
395	C₂×D₁₈₈	—	2	4	no	—
396	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
397	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
398	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
399	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
400	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
401	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
402	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
403	C₂×C₄×D₄₇	—	2	4	no	—
404	C₂×C₄×D₄₇	—	2	4	no	—
405	C₂×C₄×D₄₇	—	2	4	no	—
406	C₂×C₄×D₄₇	—	2	4	no	—
407	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
408	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
409	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
410	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
411	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
412	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
413	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
414	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
415	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
416	C₂×Dic₉₄	—	2	4	no	—
417	C₂×Dic₉₄	—	2	4	no	—
418	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
419	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
420	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
421	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
422	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
423	M₁₆×C₄₇	—	2	2	no	—
424	M₁₆×C₄₇	—	2	2	no	—
425	M₁₆×C₄₇	—	2	2	no	—
426	M₁₆×C₄₇	—	2	2	no	—
427	C₂×C₈×C₄₇	—	2	2	no	—
428	C₂×C₈×C₄₇	—	2	2	no	—
429	C₂×C₈×C₄₇	—	2	2	no	—
430	C₂×C₈×C₄₇	—	2	2	no	—
431	C₂×C₈×C₄₇	—	2	2	no	—
432	C₂×C₈×C₄₇	—	2	2	no	—
433	C₂×C₈×C₄₇	—	2	2	no	—
434	C₂×C₈×C₄₇	C₂×D₄	1	4	yes	complemented
435	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
436	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
437	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
438	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
439	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
440	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
441	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
442	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
443	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
444	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
445	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
446	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
447	C₂²⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
448	C₂²⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
449	C₂²⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
450	C₂²⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
451	C₂²⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
452	C₂²⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
453	C₂²⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
454	C₂²⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
455	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
456	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
457	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
458	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
459	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
460	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
461	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
462	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
463	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
464	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
465	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
466	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
467	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
468	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
469	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
470	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
471	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
472	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
473	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
474	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
475	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
476	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
477	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
478	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
479	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
480	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
481	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
482	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
483	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
484	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
485	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
486	C₄×Dic₄₇	C₂⁴	1	2	yes	—
487	#10625329	—	2	2	no	—
488	#10625329	—	2	2	no	—
489	#10625329	—	2	2	no	—
490	#10625329	—	2	4	no	—
491	#10625329	—	2	4	no	—
492	#10625329	C₂×D₄	1	4	yes	complemented
493	C₂×C₄₇⋊C₈	—	2	4	no	—
494	C₂×C₄₇⋊C₈	—	2	4	no	—
495	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
496	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
497	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
498	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
499	#10625324	—	2	4	no	—
500	#10625324	—	2	4	no	—
501	#10625324	—	2	4	no	—
502	#10625324	—	2	4	no	—
503	#10625324	—	2	4	no	—
504	#10625324	—	2	4	no	—
505	#10625324	—	2	4	no	—
506	#10625324	C₂×D₄	1	8	yes	complemented
507	C₈×D₄₇	—	2	4	no	—
508	C₈×D₄₇	—	2	4	no	—
509	C₈×D₄₇	—	2	4	no	—
510	C₈×D₄₇	—	2	4	no	—
511	C₈×D₄₇	—	2	4	no	—
512	C₈×D₄₇	—	2	4	no	—
513	C₈×D₄₇	—	2	4	no	—
514	C₈×D₄₇	C₂×D₄	1	8	yes	complemented
515	C₂³×C₄₇	—	2	2	no	—
516	C₂³×C₄₇	—	2	2	no	—
517	C₂³×C₄₇	—	2	2	no	—
518	C₂³×C₄₇	—	4	1	no	—
519	C₂³×C₄₇	—	4	1	no	—
520	C₂³×C₄₇	—	4	1	no	—
521	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
522	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
523	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
524	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
525	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
526	C₂²×D₄₇	—	2	4	no	—
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	C₂³×C₄	1	2	yes	—
533	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
534	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
535	D₄×C₄₇	—	2	2	no	—
536	D₄×C₄₇	—	2	2	no	—
537	D₄×C₄₇	—	4	1	no	—
538	D₄×C₄₇	—	4	1	no	—
539	C₂×C₄×C₄₇	—	2	2	no	—
540	C₂×C₄×C₄₇	—	2	2	no	—
541	C₂×C₄×C₄₇	—	2	2	no	—
542	C₂×C₄×C₄₇	—	2	2	no	—
543	C₂×C₄×C₄₇	—	2	2	no	—
544	C₂×C₄×C₄₇	—	2	2	no	—
545	C₂×C₄×C₄₇	—	2	1	no	—
546	C₂×C₄×C₄₇	—	2	1	no	—
547	C₂×C₄×C₄₇	—	2	1	no	—
548	C₂×C₄×C₄₇	—	2	1	no	—
549	C₂×C₄×C₄₇	—	2	1	no	—
550	C₂×C₄×C₄₇	—	2	1	no	—
551	C₂×C₄×C₄₇	—	2	1	no	—
552	C₂×C₄×C₄₇	—	2	1	no	—
553	C₂×C₄×C₄₇	—	4	1	no	—
554	C₂×C₄×C₄₇	—	4	1	no	—
555	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
556	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
557	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
558	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
559	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
560	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
561	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
562	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
563	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
564	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
565	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
566	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
567	C₂²⋊D₄₇	—	2	4	no	—
568	C₂²⋊D₄₇	—	2	4	no	—
569	C₂²⋊D₄₇	—	2	4	no	—
570	C₂²⋊D₄₇	—	2	4	no	—
571	C₂²⋊D₄₇	—	2	4	no	—
572	C₂²⋊D₄₇	—	2	4	no	—
573	C₂²⋊D₄₇	—	2	4	no	—
574	C₂²⋊D₄₇	—	4	2	no	—
575	C₂²⋊D₄₇	—	4	2	no	—
576	C₂²⋊D₄₇	—	4	2	no	—
577	C₂²⋊D₄₇	C₄×D₄	1	8	yes	—
578	C₂×Dic₄₇	—	2	4	no	—
579	C₂×Dic₄₇	—	2	4	no	—
580	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
581	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
582	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
583	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
584	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
585	D₁₈₈	—	2	4	no	—
586	D₁₈₈	—	2	4	no	—
587	D₁₈₈	—	2	2	no	—
588	D₁₈₈	—	2	2	no	—
589	D₁₈₈	—	4	2	no	—
590	D₁₈₈	—	4	2	no	—
591	D₁₈₈	C₄×D₄	1	4	yes	—
592	C₄×D₄₇	—	2	4	no	—
593	C₄×D₄₇	—	2	4	no	—
594	C₄×D₄₇	—	2	2	no	—
595	C₄×D₄₇	—	2	2	no	—
596	C₄×D₄₇	—	2	2	no	—
597	C₄×D₄₇	—	2	2	no	—
598	C₄×D₄₇	—	2	4	no	—
599	C₄×D₄₇	—	2	4	no	—
600	C₄×D₄₇	—	4	2	no	—
601	C₄×D₄₇	—	4	2	no	—
602	C₄×D₄₇	C₂²×D₄	1	4	yes	—
603	C₄×D₄₇	C₂×#41	1	4	yes	—
604	Dic₉₄	—	2	2	no	—
605	Dic₉₄	—	2	2	no	—
606	Dic₉₄	—	2	4	no	—
607	Dic₉₄	—	2	4	no	—
608	Dic₉₄	C₄×D₄	1	4	yes	—
609	C₈×C₄₇	—	2	1	no	—
610	C₈×C₄₇	—	2	1	no	—
611	C₈×C₄₇	—	2	1	no	—
612	C₈×C₄₇	—	2	1	no	—
613	C₈×C₄₇	—	2	1	no	—
614	C₈×C₄₇	—	2	1	no	—
615	C₈×C₄₇	C₂²×D₄	1	2	yes	—
616	C₈×C₄₇	C₂²×D₄	1	2	yes	—
617	C₄₇⋊C₈	—	2	2	no	—
618	C₄₇⋊C₈	—	2	2	no	—
619	C₄₇⋊C₈	—	2	2	no	—
620	C₄₇⋊C₈	C₂²×D₄	1	4	yes	—
621	#60146	—	47	1	no	maximal, Sylow
622	C₂²×C₄₇	—	2	1	no	—
623	C₂²×C₄₇	—	2	1	no	—
624	C₂²×C₄₇	—	2	1	no	—
625	C₂²×C₄₇	—	2	1	no	—
626	C₂²×C₄₇	—	2	1	no	—
627	C₂²×C₄₇	—	2	1	no	—
628	C₂²×C₄₇	—	2	1	no	—
629	C₂²×C₄₇	—	2	1	no	—
630	C₂²×C₄₇	—	2	1	no	—
631	C₂²×C₄₇	—	2	1	no	—
632	C₂²×C₄₇	—	2	1	no	—
633	C₂²×C₄₇	—	2	1	no	—
634	C₂²×C₄₇	—	2	1	no	—
635	C₂²×C₄₇	—	4	4	no	—
636	C₂²×C₄₇	—	8	2	no	—
637	C₂²×C₄₇	C₂×C₄×D₄	1	2	yes	—
638	C₂²×C₄₇	#568	1	2	yes	complemented
639	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
640	C₂×D₄₇	—	2	2	no	—
641	C₂×D₄₇	—	2	2	no	—
642	C₂×D₄₇	—	2	2	no	—
643	C₂×D₄₇	—	2	2	no	—
644	C₂×D₄₇	—	2	2	no	—
645	C₂×D₄₇	—	2	2	no	—
646	C₂×D₄₇	—	2	2	no	—
647	C₂×D₄₇	—	2	2	no	—
648	C₂×D₄₇	—	4	8	no	—
649	C₂×D₄₇	—	8	4	no	—
650	C₂×D₄₇	C₂×C₄×D₄	1	4	yes	—
651	C₄×C₄₇	—	2	1	no	—
652	C₄×C₄₇	—	2	1	no	—
653	C₄×C₄₇	—	2	1	no	—
654	C₄×C₄₇	—	2	1	no	—
655	C₄×C₄₇	—	2	1	no	—
656	C₄×C₄₇	—	2	1	no	—
657	C₄×C₄₇	—	2	1	no	—
658	C₄×C₄₇	—	2	1	no	—
659	C₄×C₄₇	C₂×C₄×D₄	1	2	yes	—
660	C₄×C₄₇	C₂³×D₄	1	1	yes	characteristic
661	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
662	Dic₄₇	—	2	2	no	—
663	Dic₄₇	—	2	2	no	—
664	Dic₄₇	—	2	2	no	—
665	Dic₄₇	—	2	2	no	—
666	Dic₄₇	C₂×C₄×D₄	1	4	yes	—
667	C₂×#568	—	47	1	no	—
668	C₂²×#131	—	47	1	no	—
669	D₄×#41	—	47	1	no	—
670	#2935	—	47	2	no	—
671	#2935	—	47	1	no	—
672	D₄×M₁₆	—	47	2	no	—
673	D₄×M₁₆	—	47	1	no	—
674	#2933	—	47	2	no	—
675	#2933	—	47	2	no	—
676	#2933	—	47	1	no	—
677	#2933	—	47	1	no	—
678	#2932	—	47	2	no	—
679	#2932	—	47	1	no	—
680	#2930	—	47	2	no	—
681	#2930	—	47	1	no	—
682	#2929	—	47	2	no	—
683	#2929	—	47	1	no	—
684	C₂×#435	—	47	2	no	—
685	C₂×#435	D₄₇	1	1	yes	characteristic, complemented
686	#2906	—	47	1	no	—
687	#2880	—	47	1	no	—
688	#2880	—	47	1	no	—
689	#2875	—	47	1	no	—
690	C₂×C₄₇	—	2	2	no	—
691	C₂×C₄₇	—	2	2	no	—
692	C₂×C₄₇	—	4	1	no	—
693	C₂×C₄₇	—	4	1	no	—
694	C₂×C₄₇	—	4	1	no	—
695	C₂×C₄₇	C₂²×C₄×D₄	1	1	yes	characteristic
696	C₂×C₄₇	C₂×#568	1	1	yes	characteristic
697	C₂×C₄₇	#3573	1	1	yes	characteristic
698	D₄₇	—	2	4	no	—
699	D₄₇	—	4	2	no	—
700	D₄₇	—	4	2	no	—
701	C₂²×#41	—	47	1	no	—
702	C₂²×#41	—	47	1	no	—
703	#568	—	94	8	no	—
704	C₂×#131	—	47	2	no	—
705	C₂×#131	—	47	2	no	—
706	C₂×#131	—	47	1	no	—
707	C₂×#131	—	47	1	no	—
708	C₂×#131	—	47	1	no	—
709	C₂×#131	—	47	1	no	—
710	C₂×#131	—	47	1	no	—
711	C₂×#131	—	47	2	no	—
712	C₂×#131	—	47	1	no	—
713	C₂×#131	—	47	2	no	—
714	C₂×#131	—	47	1	no	—
715	C₂×#131	—	47	1	no	—
716	C₂×#131	—	94	8	no	—
717	C₂²×M₁₆	—	47	1	no	—
718	C₂²×M₁₆	—	47	1	no	—
719	C₂²×M₁₆	—	47	2	no	—
720	C₂²×M₁₆	—	47	2	no	—
721	C₂²×M₁₆	—	47	2	no	—
722	C₂²×M₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
723	C₂³×C₈	—	47	2	no	—
724	C₂³×C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
725	#550	—	47	1	no	—
726	D₄×Q₈	—	47	1	no	—
727	#548	—	47	1	no	—
728	#548	—	47	1	no	—
729	#547	—	47	1	no	—
730	#547	—	47	2	no	—
731	#546	—	47	1	no	—
732	#546	—	47	1	no	—
733	#546	—	47	2	no	—
734	#546	—	47	2	no	—
735	D₄²	—	47	2	no	—
736	D₄²	—	47	1	no	—
737	#532	—	47	2	no	—
738	#532	—	47	1	no	—
739	#525	—	47	1	no	—
740	#525	—	47	1	no	—
741	#525	—	47	2	no	—
742	#525	—	47	2	no	—
743	C₄×#41	—	47	1	no	—
744	C₂×C₄×D₄	—	47	2	no	—
745	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
746	#436	—	47	2	no	—
747	#436	—	47	2	no	—
748	#436	—	47	2	no	—
749	#436	—	47	2	no	—
750	#436	—	47	2	no	—
751	#436	—	47	2	no	—
752	#435	—	47	2	no	—
753	#435	—	47	2	no	—
754	#435	—	47	2	no	—
755	#435	—	47	2	no	—
756	#435	—	47	2	no	—
757	#435	—	47	2	no	—
758	#435	—	47	2	no	—
759	#435	—	47	2	no	—
760	#435	—	47	2	no	—
761	#435	—	47	2	no	—
762	#435	—	47	2	no	—
763	#435	—	47	2	no	—
764	#435	—	47	2	no	—
765	#435	—	47	2	no	—
766	#435	—	47	2	no	—
767	#435	—	47	2	no	—
768	#435	C₂×D₄₇	1	1	yes	characteristic
769	#435	C₂×D₄₇	1	1	yes	characteristic
770	#435	C₂×D₄₇	1	1	yes	characteristic, complemented
771	#435	C₂×D₄₇	1	1	yes	characteristic, complemented
772	#435	C₂×D₄₇	1	1	yes	characteristic, complemented
773	#435	C₂×D₄₇	1	1	yes	characteristic, complemented
774	#435	C₂×D₄₇	1	1	yes	characteristic, complemented
775	#435	C₂×D₄₇	1	1	yes	characteristic, complemented
776	C₈×D₄	—	47	2	no	—
777	C₈×D₄	—	47	2	no	—
778	C₈×D₄	—	47	2	no	—
779	C₈×D₄	—	47	2	no	—
780	C₈×D₄	—	47	2	no	—
781	C₈×D₄	—	47	2	no	—
782	#424	—	47	1	no	—
783	#424	—	47	1	no	—
784	#424	—	47	2	no	—
785	#424	—	47	2	no	—
786	#423	—	47	1	no	—
787	#423	—	47	2	no	—
788	C₂×C₄⋊C₈	—	47	2	no	—
789	C₂×C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
790	#408	—	47	1	no	—
791	#408	—	47	1	no	—
792	#408	—	47	1	no	—
793	#408	—	47	1	no	—
794	#408	—	47	2	no	—
795	#408	—	47	2	no	—
796	#408	—	47	2	no	—
797	#408	—	47	2	no	—
798	#407	—	47	1	no	—
799	#407	—	47	1	no	—
800	#407	—	47	2	no	—
801	#407	—	47	2	no	—
802	C₂×C₂²⋊C₈	—	47	2	no	—
803	C₂×C₂²⋊C₈	—	47	2	no	—
804	C₂×C₂²⋊C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
805	C₂×C₂²⋊C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
806	#405	—	47	1	no	—
807	#405	—	47	1	no	—
808	#405	—	47	2	no	—
809	#405	—	47	2	no	—
810	C₄×M₁₆	—	47	1	no	—
811	C₄×M₁₆	—	47	2	no	—
812	C₂×#97	—	47	2	no	—
813	C₂×#97	C₂×D₄₇	1	1	yes	characteristic, complemented
814	C₄₇	#60146	1	1	yes	characteristic, complemented, Sylow
815	C₂×#41	—	47	1	no	—
816	C₂×#41	—	47	1	no	—
817	C₂×#41	—	47	2	no	—
818	C₂×#41	—	47	2	no	—
819	C₂×#41	—	47	1	no	—
820	C₂×#41	—	47	1	no	—
821	C₂×#41	—	47	1	no	—
822	C₂×#41	—	47	2	no	—
823	C₂×#41	—	47	2	no	—
824	C₂×#41	—	47	1	no	—
825	C₂×#41	—	47	1	no	—
826	C₂×#41	—	94	4	no	—
827	C₂×#41	—	94	4	no	—
828	C₂×#41	—	94	4	no	—
829	C₂×#41	—	94	4	no	—
830	C₂²×Q₈	—	47	1	no	—
831	C₂²×Q₈	—	47	1	no	—
832	C₂²×D₄	—	47	2	no	—
833	C₂²×D₄	—	47	2	no	—
834	C₂²×D₄	—	47	2	no	—
835	C₂²×D₄	—	47	1	no	—
836	C₂²×D₄	—	47	1	no	—
837	C₂²×D₄	C₄×D₄₇	1	1	yes	characteristic
838	C₂³×C₄	—	47	2	no	—
839	C₂³×C₄	—	47	2	no	—
840	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
841	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
842	#131	—	47	8	no	—
843	#131	—	94	8	no	—
844	#131	—	94	4	no	—
845	#131	—	94	8	no	—
846	#131	—	94	4	no	—
847	#131	—	94	4	no	—
848	#131	—	94	4	no	—
849	#131	—	94	4	no	—
850	#131	—	94	8	no	—
851	#131	—	94	8	no	—
852	#131	—	94	4	no	—
853	#131	—	94	4	no	—
854	C₂×M₁₆	—	2	4	no	—
855	C₂×M₁₆	—	47	1	no	—
856	C₂×M₁₆	—	47	2	no	—
857	C₂×M₁₆	—	47	1	no	—
858	C₂×M₁₆	—	47	1	no	—
859	C₂×M₁₆	—	47	2	no	—
860	C₂×M₁₆	—	47	1	no	—
861	C₂×M₁₆	—	47	2	no	—
862	C₂×M₁₆	—	47	2	no	—
863	C₂×M₁₆	—	47	2	no	—
864	C₂×M₁₆	—	47	2	no	—
865	C₂×M₁₆	—	47	2	no	—
866	C₂×M₁₆	—	47	2	no	—
867	C₂×M₁₆	—	47	2	no	—
868	C₂×M₁₆	—	47	2	no	—
869	C₂×M₁₆	—	94	8	no	—
870	C₂×M₁₆	—	94	8	no	—
871	C₂×M₁₆	—	94	8	no	—
872	C₂×M₁₆	—	94	4	no	—
873	C₂×M₁₆	—	94	4	no	—
874	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
875	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
876	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
877	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
878	C₂²×C₈	—	2	4	no	—
879	C₂²×C₈	—	47	2	no	—
880	C₂²×C₈	—	47	2	no	—
881	C₂²×C₈	—	47	2	no	—
882	C₂²×C₈	—	47	2	no	—
883	C₂²×C₈	—	47	2	no	—
884	C₂²×C₈	—	47	2	no	—
885	C₂²×C₈	—	47	2	no	—
886	C₂²×C₈	—	47	2	no	—
887	C₂²×C₈	—	47	2	no	—
888	C₂²×C₈	—	47	2	no	—
889	C₂²×C₈	—	94	8	no	—
890	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
891	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
892	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
893	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
894	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
895	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
896	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
897	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
898	C₄⋊Q₈	—	47	2	no	—
899	C₄⋊Q₈	—	47	1	no	—
900	#127	—	47	2	no	—
901	#127	—	47	1	no	—
902	#124	—	47	2	no	—
903	#124	—	47	2	no	—
904	#124	—	47	1	no	—
905	#124	—	47	1	no	—
906	#123	—	47	2	no	—
907	#123	—	47	2	no	—
908	#123	—	47	2	no	—
909	#123	—	47	2	no	—
910	#123	—	47	2	no	—
911	#123	—	47	2	no	—
912	C₂²⋊Q₈	—	47	1	no	—
913	C₂²⋊Q₈	—	47	1	no	—
914	C₂²⋊Q₈	—	47	1	no	—
915	C₂²⋊Q₈	—	47	1	no	—
916	C₂²⋊Q₈	—	47	2	no	—
917	C₂²⋊Q₈	—	47	2	no	—
918	C₂²⋊Q₈	—	47	2	no	—
919	C₂²⋊Q₈	—	47	2	no	—
920	#121	—	47	2	no	—
921	#121	—	47	2	no	—
922	#121	—	47	2	no	—
923	#121	—	47	1	no	—
924	#121	—	47	1	no	—
925	#121	—	47	1	no	—
926	#121	—	47	1	no	—
927	#121	—	47	2	no	—
928	#121	—	47	2	no	—
929	#121	—	47	2	no	—
930	#121	—	47	2	no	—
931	#121	—	47	2	no	—
932	#121	—	47	2	no	—
933	#121	—	47	2	no	—
934	#120	—	47	2	no	—
935	#120	—	47	2	no	—
936	#120	—	47	2	no	—
937	#120	—	47	2	no	—
938	#120	—	47	2	no	—
939	#120	—	47	2	no	—
940	C₄×Q₈	—	47	1	no	—
941	C₄×Q₈	—	47	1	no	—
942	C₄×D₄	—	47	2	no	—
943	C₄×D₄	—	47	2	no	—
944	C₄×D₄	—	47	2	no	—
945	C₄×D₄	—	47	2	no	—
946	C₄×D₄	—	47	2	no	—
947	C₄×D₄	—	47	2	no	—
948	C₄×D₄	—	47	2	no	—
949	C₄×D₄	—	47	2	no	—
950	C₄×D₄	—	47	2	no	—
951	C₄×D₄	—	47	2	no	—
952	C₄×D₄	—	47	1	no	—
953	C₄×D₄	—	47	1	no	—
954	C₄×D₄	—	47	2	no	—
955	C₄×D₄	—	47	2	no	—
956	C₄×D₄	C₄×D₄₇	1	1	yes	characteristic
957	C₄×D₄	C₄×D₄₇	1	1	yes	characteristic
958	C₄×D₄	C₄×D₄₇	1	1	yes	characteristic
959	C₄×D₄	C₄×D₄₇	1	1	yes	characteristic
960	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
961	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
962	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
963	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
964	#117	—	47	1	no	—
965	#117	—	47	2	no	—
966	C₂×C₄⋊C₄	—	47	2	no	—
967	C₂×C₄⋊C₄	C₄×D₄₇	1	1	yes	characteristic
968	C₂×C₂²⋊C₄	—	47	2	no	—
969	C₂×C₂²⋊C₄	—	47	2	no	—
970	C₂×C₂²⋊C₄	C₄×D₄₇	1	1	yes	characteristic
971	C₂×C₂²⋊C₄	C₄×D₄₇	1	1	yes	characteristic
972	C₂×C₄²	—	47	2	no	—
973	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
974	C₄⋊C₈	—	47	2	no	—
975	C₄⋊C₈	—	47	2	no	—
976	C₄⋊C₈	—	47	2	no	—
977	C₄⋊C₈	—	47	2	no	—
978	C₄⋊C₈	—	47	2	no	—
979	C₄⋊C₈	—	47	2	no	—
980	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
981	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
982	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
983	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
984	C₂²⋊C₈	—	47	2	no	—
985	C₂²⋊C₈	—	47	2	no	—
986	C₂²⋊C₈	—	47	2	no	—
987	C₂²⋊C₈	—	47	2	no	—
988	C₂²⋊C₈	—	47	2	no	—
989	C₂²⋊C₈	—	47	2	no	—
990	C₂²⋊C₈	—	47	2	no	—
991	C₂²⋊C₈	—	47	2	no	—
992	C₂²⋊C₈	—	47	2	no	—
993	C₂²⋊C₈	—	47	2	no	—
994	C₂²⋊C₈	—	47	2	no	—
995	C₂²⋊C₈	—	47	2	no	—
996	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
997	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
998	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
999	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
1000	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
1001	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
1002	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
1003	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
1004	#97	—	47	2	no	—
1005	#97	—	47	2	no	—
1006	#97	—	47	2	no	—
1007	#97	C₂²×D₄₇	1	1	yes	characteristic
1008	#97	C₂²×D₄₇	1	1	yes	characteristic
1009	#97	C₂²×D₄₇	1	1	yes	characteristic
1010	#97	C₂²×D₄₇	1	1	yes	characteristic
1011	C₄×C₈	—	47	2	no	—
1012	C₄×C₈	—	47	2	no	—
1013	C₄×C₈	—	47	2	no	—
1014	C₂⁴	—	47	2	no	—
1015	C₂⁴	—	47	2	no	—
1016	C₂⁴	C₂×C₄×D₄₇	1	1	yes	characteristic
1017	C₂⁴	C₂×C₄×D₄₇	1	1	yes	characteristic
1018	#41	—	47	4	no	—
1019	#41	—	47	4	no	—
1020	#41	—	94	4	no	—
1021	#41	—	94	4	no	—
1022	#41	—	94	4	no	—
1023	#41	—	94	4	no	—
1024	#41	—	94	8	no	—
1025	#41	—	94	8	no	—
1026	#41	—	94	4	no	—
1027	#41	—	94	4	no	—
1028	#41	—	94	4	no	—
1029	#41	—	94	4	no	—
1030	#41	—	94	2	no	—
1031	#41	—	94	2	no	—
1032	#41	—	94	2	no	—
1033	#41	—	94	2	no	—
1034	C₂×Q₈	—	47	1	no	—
1035	C₂×Q₈	—	47	2	no	—
1036	C₂×Q₈	—	47	2	no	—
1037	C₂×Q₈	—	47	1	no	—
1038	C₂×Q₈	—	47	1	no	—
1039	C₂×Q₈	—	94	4	no	—
1040	C₂×Q₈	—	94	4	no	—
1041	C₂×D₄	—	4	2	no	—
1042	C₂×D₄	—	47	2	no	—
1043	C₂×D₄	—	47	2	no	—
1044	C₂×D₄	—	47	2	no	—
1045	C₂×D₄	—	47	2	no	—
1046	C₂×D₄	—	47	2	no	—
1047	C₂×D₄	—	47	2	no	—
1048	C₂×D₄	—	47	2	no	—
1049	C₂×D₄	—	47	2	no	—
1050	C₂×D₄	—	47	2	no	—
1051	C₂×D₄	—	47	2	no	—
1052	C₂×D₄	—	47	2	no	—
1053	C₂×D₄	—	47	1	no	—
1054	C₂×D₄	—	47	2	no	—
1055	C₂×D₄	—	47	2	no	—
1056	C₂×D₄	—	47	1	no	—
1057	C₂×D₄	—	47	1	no	—
1058	C₂×D₄	—	47	2	no	—
1059	C₂×D₄	—	47	2	no	—
1060	C₂×D₄	—	94	4	no	—
1061	C₂×D₄	—	94	4	no	—
1062	C₂×D₄	—	94	8	no	—
1063	C₂×D₄	—	94	8	no	—
1064	C₂×D₄	—	188	4	no	—
1065	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1066	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1067	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1068	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1069	C₂²×C₄	—	2	2	no	—
1070	C₂²×C₄	—	2	2	no	—
1071	C₂²×C₄	—	2	2	no	—
1072	C₂²×C₄	—	2	2	no	—
1073	C₂²×C₄	—	47	2	no	—
1074	C₂²×C₄	—	47	2	no	—
1075	C₂²×C₄	—	47	2	no	—
1076	C₂²×C₄	—	47	2	no	—
1077	C₂²×C₄	—	47	2	no	—
1078	C₂²×C₄	—	47	2	no	—
1079	C₂²×C₄	—	47	2	no	—
1080	C₂²×C₄	—	47	2	no	—
1081	C₂²×C₄	—	47	2	no	—
1082	C₂²×C₄	—	47	2	no	—
1083	C₂²×C₄	—	47	2	no	—
1084	C₂²×C₄	—	94	4	no	—
1085	C₂²×C₄	—	94	4	no	—
1086	C₂²×C₄	—	94	4	no	—
1087	C₂²×C₄	—	94	4	no	—
1088	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1089	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1090	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1091	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1092	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1093	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1094	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1095	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1096	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1097	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1098	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1099	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1100	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1101	M₁₆	—	2	2	no	—
1102	M₁₆	—	2	2	no	—
1103	M₁₆	—	2	2	no	—
1104	M₁₆	—	2	2	no	—
1105	M₁₆	—	47	4	no	—
1106	M₁₆	—	47	8	no	—
1107	M₁₆	—	94	4	no	—
1108	M₁₆	—	94	4	no	—
1109	M₁₆	—	94	4	no	—
1110	M₁₆	—	94	4	no	—
1111	M₁₆	—	94	4	no	—
1112	M₁₆	—	94	4	no	—
1113	M₁₆	—	94	4	no	—
1114	M₁₆	—	94	2	no	—
1115	M₁₆	—	94	2	no	—
1116	M₁₆	—	94	2	no	—
1117	M₁₆	—	94	4	no	—
1118	M₁₆	—	94	4	no	—
1119	C₂×C₈	—	2	2	no	—
1120	C₂×C₈	—	2	2	no	—
1121	C₂×C₈	—	2	2	no	—
1122	C₂×C₈	—	2	2	no	—
1123	C₂×C₈	—	2	2	no	—
1124	C₂×C₈	—	2	2	no	—
1125	C₂×C₈	—	2	2	no	—
1126	C₂×C₈	—	47	2	no	—
1127	C₂×C₈	—	47	8	no	—
1128	C₂×C₈	—	47	2	no	—
1129	C₂×C₈	—	47	2	no	—
1130	C₂×C₈	—	47	2	no	—
1131	C₂×C₈	—	94	4	no	—
1132	C₂×C₈	—	94	4	no	—
1133	C₂×C₈	—	94	4	no	—
1134	C₂×C₈	—	94	4	no	—
1135	C₂×C₈	—	94	4	no	—
1136	C₂×C₈	—	94	4	no	—
1137	C₂×C₈	—	94	4	no	—
1138	C₂×C₈	—	94	4	no	—
1139	C₂×C₈	—	94	4	no	—
1140	C₂×C₈	D₄×D₄₇	1	4	yes	complemented
1141	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1142	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1143	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1144	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1145	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1146	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1147	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1148	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1149	C₄⋊C₄	—	47	2	no	—
1150	C₄⋊C₄	—	47	2	no	—
1151	C₄⋊C₄	—	47	2	no	—
1152	C₄⋊C₄	—	47	2	no	—
1153	C₄⋊C₄	—	47	2	no	—
1154	C₄⋊C₄	—	47	2	no	—
1155	C₄⋊C₄	—	47	2	no	—
1156	C₄⋊C₄	—	47	1	no	—
1157	C₄⋊C₄	—	47	1	no	—
1158	C₄⋊C₄	—	47	2	no	—
1159	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1160	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1161	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1162	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1163	C₂²⋊C₄	—	47	2	no	—
1164	C₂²⋊C₄	—	47	2	no	—
1165	C₂²⋊C₄	—	47	2	no	—
1166	C₂²⋊C₄	—	47	2	no	—
1167	C₂²⋊C₄	—	47	2	no	—
1168	C₂²⋊C₄	—	47	2	no	—
1169	C₂²⋊C₄	—	47	2	no	—
1170	C₂²⋊C₄	—	47	2	no	—
1171	C₂²⋊C₄	—	47	2	no	—
1172	C₂²⋊C₄	—	47	2	no	—
1173	C₂²⋊C₄	—	47	2	no	—
1174	C₂²⋊C₄	—	47	2	no	—
1175	C₂²⋊C₄	—	47	2	no	—
1176	C₂²⋊C₄	—	47	2	no	—
1177	C₂²⋊C₄	—	47	2	no	—
1178	C₂²⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1179	C₂²⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1180	C₂²⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1181	C₂²⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1182	C₂²⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1183	C₂²⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1184	C₂²⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1185	C₂²⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1186	C₄²	—	47	2	no	—
1187	C₄²	—	47	2	no	—
1188	C₄²	—	47	2	no	—
1189	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
1190	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
1191	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1192	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1193	C₂³	—	2	2	no	—
1194	C₂³	—	2	2	no	—
1195	C₂³	—	2	2	no	—
1196	C₂³	—	4	1	no	—
1197	C₂³	—	4	1	no	—
1198	C₂³	—	4	1	no	—
1199	C₂³	—	47	2	no	—
1200	C₂³	—	47	2	no	—
1201	C₂³	—	47	2	no	—
1202	C₂³	—	94	4	no	—
1203	C₂³	—	94	4	no	—
1204	C₂³	—	94	4	no	—
1205	C₂³	—	188	2	no	—
1206	C₂³	—	188	2	no	—
1207	C₂³	—	188	2	no	—
1208	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1209	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1210	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1211	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1212	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1213	Q₈	—	47	4	no	—
1214	Q₈	—	94	4	no	—
1215	Q₈	—	94	4	no	—
1216	Q₈	—	94	2	no	—
1217	Q₈	—	94	2	no	—
1218	D₄	—	2	2	no	—
1219	D₄	—	2	2	no	—
1220	D₄	—	4	1	no	—
1221	D₄	—	4	1	no	—
1222	D₄	—	47	8	no	—
1223	D₄	—	47	4	no	—
1224	D₄	—	94	4	no	—
1225	D₄	—	94	4	no	—
1226	D₄	—	94	4	no	—
1227	D₄	—	94	4	no	—
1228	D₄	—	94	4	no	—
1229	D₄	—	94	4	no	—
1230	D₄	—	94	4	no	—
1231	D₄	—	94	4	no	—
1232	D₄	—	94	4	no	—
1233	D₄	—	94	2	no	—
1234	D₄	—	94	2	no	—
1235	D₄	—	188	2	no	—
1236	D₄	—	188	2	no	—
1237	D₄	—	188	2	no	—
1238	D₄	—	188	2	no	—
1239	D₄	—	188	2	no	—
1240	C₂×C₄	—	2	2	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	2	no	—
1243	C₂×C₄	—	2	2	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	2	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	4	1	no	—
1255	C₂×C₄	—	4	1	no	—
1256	C₂×C₄	—	47	2	no	—
1257	C₂×C₄	—	47	4	no	—
1258	C₂×C₄	—	47	4	no	—
1259	C₂×C₄	—	47	2	no	—
1260	C₂×C₄	—	47	2	no	—
1261	C₂×C₄	—	47	2	no	—
1262	C₂×C₄	—	47	2	no	—
1263	C₂×C₄	—	94	4	no	—
1264	C₂×C₄	—	94	4	no	—
1265	C₂×C₄	—	94	4	no	—
1266	C₂×C₄	—	94	4	no	—
1267	C₂×C₄	—	94	4	no	—
1268	C₂×C₄	—	94	4	no	—
1269	C₂×C₄	—	94	2	no	—
1270	C₂×C₄	—	94	2	no	—
1271	C₂×C₄	—	94	2	no	—
1272	C₂×C₄	—	94	2	no	—
1273	C₂×C₄	—	188	2	no	—
1274	C₂×C₄	—	188	2	no	—
1275	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1276	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1277	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1278	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1279	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1280	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1281	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1282	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1283	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1284	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
1285	C₂×C₄	#41×D₄₇	1	2	yes	—
1286	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1287	C₈	—	2	1	no	—
1288	C₈	—	2	1	no	—
1289	C₈	—	2	1	no	—
1290	C₈	—	2	1	no	—
1291	C₈	—	2	1	no	—
1292	C₈	—	2	1	no	—
1293	C₈	—	47	4	no	—
1294	C₈	—	94	2	no	—
1295	C₈	—	94	2	no	—
1296	C₈	—	94	2	no	—
1297	C₈	C₂×D₄×D₄₇	1	2	yes	—
1298	C₈	C₂×D₄×D₄₇	1	2	yes	—
1299	C₂²	—	2	1	no	—
1300	C₂²	—	2	1	no	—
1301	C₂²	—	2	1	no	—
1302	C₂²	—	2	1	no	—
1303	C₂²	—	2	1	no	—
1304	C₂²	—	2	1	no	—
1305	C₂²	—	2	1	no	—
1306	C₂²	—	2	1	no	—
1307	C₂²	—	2	1	no	—
1308	C₂²	—	2	1	no	—
1309	C₂²	—	2	1	no	—
1310	C₂²	—	2	1	no	—
1311	C₂²	—	2	1	no	—
1312	C₂²	—	4	4	no	—
1313	C₂²	—	8	2	no	—
1314	C₂²	—	47	4	no	—
1315	C₂²	—	94	2	no	—
1316	C₂²	—	94	2	no	—
1317	C₂²	—	94	2	no	—
1318	C₂²	—	94	2	no	—
1319	C₂²	—	94	2	no	—
1320	C₂²	—	94	2	no	—
1321	C₂²	—	94	2	no	—
1322	C₂²	—	94	2	no	—
1323	C₂²	—	376	4	no	—
1324	C₂²	—	188	8	no	—
1325	C₂²	C₄×D₄×D₄₇	1	2	yes	—
1326	C₂²	#15689889	1	2	yes	complemented
1327	C₂²	C₂³×C₄×D₄₇	1	1	yes	characteristic
1328	C₄	—	2	1	no	—
1329	C₄	—	2	1	no	—
1330	C₄	—	2	1	no	—
1331	C₄	—	2	1	no	—
1332	C₄	—	2	1	no	—
1333	C₄	—	2	1	no	—
1334	C₄	—	2	1	no	—
1335	C₄	—	2	1	no	—
1336	C₄	—	47	4	no	—
1337	C₄	—	94	2	no	—
1338	C₄	—	94	2	no	—
1339	C₄	—	94	2	no	—
1340	C₄	—	94	2	no	—
1341	C₄	C₄×D₄×D₄₇	1	2	yes	—
1342	C₄	C₂²×D₄×D₄₇	1	1	yes	characteristic
1343	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1344	C₂	—	2	2	no	—
1345	C₂	—	2	2	no	—
1346	C₂	—	4	1	no	—
1347	C₂	—	4	1	no	—
1348	C₂	—	4	1	no	—
1349	C₂	—	94	4	no	—
1350	C₂	—	188	2	no	—
1351	C₂	—	188	2	no	—
1352	C₂	C₂×C₄×D₄×D₄₇	1	1	yes	characteristic
1353	C₂	C₂×#15689889	1	1	yes	characteristic
1354	C₂	#20258099	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁴×C₄
Fitting	C₂×C₄₇×#435	C₂
prime radical	D₄×#10625350	C₂
cosocle	C₂×C₄×C₄₇	C₂⁵
hypercenter	C₂×#435	D₄₇
hypocenter	C₄₇	#60146
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#435

Complements

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

N	H ≅ G/N	type
1. C₂×#15689889	C₂	semidirect
2. C₂²×#13094030	C₂	semidirect
4. #20252131	C₂	semidirect
5. #20252129	C₂	semidirect
6. D₄×#10625329	C₂	semidirect
7. #20252121	C₂	semidirect
8. #20252114	C₂	semidirect
9. #20252111	C₂	semidirect
10. #20252109	C₂	semidirect
11. #20252109	C₂	semidirect
12. #20252107	C₂	semidirect
13. #20252102	C₂	semidirect
14. #20252091	C₂	semidirect
15. #20252086	C₂	semidirect
16. #20252082	C₂	semidirect
17. #20252079	C₂	semidirect
18. #435×D₄₇	C₂	semidirect
19. #20251953	C₂	semidirect
20. #20251834	C₂	semidirect
21. #20251834	C₂	semidirect
22. #20251813	C₂	semidirect
23. C₂×C₄₇×#435	C₂	semidirect
27. C₂×#13094032	C₂²	semidirect
28. C₂×#13094032	C₂²	semidirect
34. C₂×#13094030	C₂²	semidirect
35. C₂×#13094030	C₂²	semidirect
36. C₂×#13094030	C₂²	semidirect
37. C₂×#13094030	C₂²	semidirect
38. C₂×#13094030	C₂²	semidirect
39. C₂×#13094030	C₂²	semidirect
40. C₂²×#10625329	C₂²	semidirect
41. C₂²×#10625329	C₂²	semidirect
42. C₂²×#10625324	C₂²	semidirect
43. C₂×M₁₆×D₄₇	C₂²	semidirect
44. C₂×M₁₆×D₄₇	C₂²	semidirect
45. C₂²×C₈×D₄₇	C₂²	semidirect
66. #15689201	C₂²	semidirect
67. #15689200	C₂²	semidirect
68. #15689199	C₂²	semidirect
69. #15689199	C₂²	semidirect
70. #15689198	C₂²	semidirect
71. #15689198	C₂²	semidirect
72. #15689197	C₂²	semidirect
73. #15689197	C₂²	semidirect
74. #15689196	C₂²	semidirect
75. #15689196	C₂²	semidirect
76. #15689196	C₂²	semidirect
77. #15689196	C₂²	semidirect
79. #15689195	C₂²	semidirect
80. #15689194	C₂²	semidirect
81. #15689194	C₂²	semidirect
82. #15689193	C₂²	semidirect
83. #15689193	C₂²	semidirect
84. #15689192	C₂²	semidirect
85. #15689192	C₂²	semidirect
86. #15689191	C₂²	semidirect
87. #15689191	C₂²	semidirect
88. D₄×C₄₇⋊C₈	C₂²	semidirect
89. #15689188	C₂²	semidirect
90. C₈×C₂²⋊D₄₇	C₂²	semidirect
91. C₈×C₂²⋊D₄₇	C₂²	semidirect
92. (C₂²⋊D₄₇)⋊C₈	C₂²	semidirect
93. (C₂²⋊D₄₇)⋊C₈	C₂²	semidirect
94. #15689149	C₂²	semidirect
95. #15689149	C₂²	semidirect
96. #15689148	C₂²	semidirect
97. #15689148	C₂²	semidirect
98. #15689147	C₂²	semidirect
99. #15689145	C₂²	semidirect
100. C₄⋊C₈×D₄₇	C₂²	semidirect
101. #15689089	C₂²	semidirect
102. #15689089	C₂²	semidirect
103. #15689089	C₂²	semidirect
104. #15689089	C₂²	semidirect
105. #15689088	C₂²	semidirect
106. #15689088	C₂²	semidirect
107. #15689088	C₂²	semidirect
108. #15689088	C₂²	semidirect
109. #15689087	C₂²	semidirect
110. #15689087	C₂²	semidirect
111. #15689085	C₂²	semidirect
112. #15689085	C₂²	semidirect
113. C₂²⋊C₈×D₄₇	C₂²	semidirect
114. C₂²⋊C₈×D₄₇	C₂²	semidirect
115. #15689080	C₂²	semidirect
116. #15689080	C₂²	semidirect
117. #15689078	C₂²	semidirect
118. #15689078	C₂²	semidirect
119. C₄×#10625329	C₂²	semidirect
120. #15689075	C₂²	semidirect
121. #97×D₄₇	C₂²	semidirect
122. C₂²×M₁₆×C₄₇	C₂²	semidirect
123. C₂³×C₈×C₄₇	C₂²	semidirect
127. C₄₇×#435	C₂²	semidirect
128. C₄₇×#435	C₂²	semidirect
129. C₄₇×#435	C₂²	semidirect
130. C₄₇×#435	C₂²	semidirect
131. C₄₇×#435	C₂²	semidirect
132. C₄₇×#435	C₂²	semidirect
133. C₂×C₄⋊C₈×C₄₇	C₂²	semidirect
134. C₂×C₂²⋊C₈×C₄₇	C₂²	semidirect
135. C₂×C₂²⋊C₈×C₄₇	C₂²	semidirect
136. C₂×#97×C₄₇	C₂²	semidirect
172. #13094030	D₄	semidirect
434. C₂×C₈×C₄₇	C₂×D₄	semidirect
492. #10625329	C₂×D₄	semidirect
506. #10625324	C₂×D₄	semidirect
514. C₈×D₄₇	C₂×D₄	semidirect
638. C₂²×C₄₇	#568	semidirect
685. C₂×#435	D₄₇	semidirect
722. C₂²×M₁₆	C₂×D₄₇	semidirect
724. C₂³×C₈	C₂×D₄₇	semidirect
770. #435	C₂×D₄₇	semidirect
771. #435	C₂×D₄₇	semidirect
772. #435	C₂×D₄₇	semidirect
773. #435	C₂×D₄₇	semidirect
774. #435	C₂×D₄₇	semidirect
775. #435	C₂×D₄₇	semidirect
789. C₂×C₄⋊C₈	C₂×D₄₇	semidirect
804. C₂×C₂²⋊C₈	C₂×D₄₇	semidirect
805. C₂×C₂²⋊C₈	C₂×D₄₇	semidirect
813. C₂×#97	C₂×D₄₇	semidirect
814. C₄₇	#60146	semidirect
1140. C₂×C₈	D₄×D₄₇	semidirect
1326. C₂²	#15689889	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689889	2
C₂²×#13094030	2
D₄×#10625350	2
#20252131	2
#20252129	2
D₄×#10625329	2
#20252121	2
#20252114	2
#20252111	2
#20252109	2
#20252107	2
#20252102	2
#20252091	2
#20252086	2
#20252082	2
#20252079	2
#435×D₄₇	2
#20251953	2
#20251834	2
#20251813	2
C₂×C₄₇×#435	2
#60146	47