Subgroups — #27081175

Order 12032.

2136 conjugacy classes of subgroups.

The subgroup lattice has 1312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄×#10625350	C₂	1	1	yes	maximal, characteristic
2	#20252460	C₂	1	2	yes	maximal, complemented
3	#20252456	C₂	1	2	yes	maximal, complemented
4	#20252447	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	#20252418	C₂	1	2	yes	maximal, complemented
9	#20252413	C₂	1	2	yes	maximal, complemented
10	#20252131	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×#10625329	C₂	1	1	yes	maximal, characteristic, complemented
12	#20252109	C₂	1	1	yes	maximal, characteristic, complemented
13	#20252109	C₂	1	1	yes	maximal, characteristic, complemented
14	#20252107	C₂	1	1	yes	maximal, characteristic, complemented
15	#20252091	C₂	1	1	yes	maximal, characteristic, complemented
16	#20252082	C₂	1	1	yes	maximal, characteristic, complemented
17	#20252053	C₂	1	1	yes	maximal, characteristic, complemented
18	#20252037	C₂	1	1	yes	maximal, characteristic, complemented
19	#20251834	C₂	1	1	yes	maximal, characteristic, complemented
20	#20251834	C₂	1	1	yes	maximal, characteristic, complemented
21	#20251832	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#15689089	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	C₂×#13094030	C₂²	1	1	yes	characteristic, complemented
27	C₂×#13094030	C₂²	1	1	yes	characteristic, complemented
28	C₂×#13094030	C₂²	1	1	yes	characteristic, complemented
29	C₂×#13094030	C₂²	1	1	yes	characteristic, complemented
30	C₂²×#10625329	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#10625329	C₂²	1	1	yes	characteristic, complemented
32	#15689794	C₄	1	1	yes	characteristic
33	D₄×Dic₉₄	C₄	1	1	yes	characteristic
34	#15689782	C₄	1	1	yes	characteristic
35	#15689782	C₄	1	1	yes	characteristic
36	#15689778	C₄	1	1	yes	characteristic
37	#15689774	C₄	1	2	yes	—
38	#15689769	C₄	1	1	yes	characteristic
39	#15689769	C₄	1	1	yes	characteristic
40	#15689763	C₄	1	2	yes	—
41	#15689763	C₄	1	2	yes	—
42	D₄×D₁₈₈	C₄	1	1	yes	characteristic
43	D₄×C₂²⋊D₄₇	C₄	1	2	yes	—
44	#15689673	C₂²	1	1	yes	characteristic
45	#15689670	C₂²	1	2	yes	—
46	#15689634	C₂²	1	1	yes	characteristic
47	#15689634	C₂²	1	1	yes	characteristic
48	#15689632	C₂²	1	2	yes	—
49	#15689632	C₂²	1	2	yes	—
50	C₄×#10625350	C₂²	1	1	yes	characteristic
51	C₄×D₄×D₄₇	C₂²	1	2	yes	—
52	#15689201	C₂²	1	2	yes	complemented
53	#15689200	C₂²	1	2	yes	complemented
54	#15689199	C₂²	1	2	yes	complemented
55	#15689199	C₂²	1	2	yes	complemented
56	#15689198	C₂²	1	2	yes	complemented
57	#15689198	C₂²	1	2	yes	complemented
58	#15689197	C₂²	1	2	yes	complemented
59	#15689197	C₂²	1	2	yes	complemented
60	#15689196	C₂²	1	2	yes	complemented
61	#15689196	C₂²	1	2	yes	complemented
62	#15689196	C₂²	1	2	yes	complemented
63	#15689196	C₂²	1	2	yes	complemented
64	#15689195	C₂²	1	2	yes	—
65	#15689195	C₂²	1	2	yes	complemented
66	#15689194	C₂²	1	2	yes	complemented
67	#15689194	C₂²	1	2	yes	complemented
68	#15689193	C₂²	1	2	yes	complemented
69	#15689193	C₂²	1	2	yes	complemented
70	#15689192	C₂²	1	2	yes	complemented
71	#15689192	C₂²	1	2	yes	complemented
72	#15689191	C₂²	1	2	yes	complemented
73	#15689191	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	2	yes	complemented
83	#15689183	C₂²	1	2	yes	complemented
84	#15689179	C₂²	1	2	yes	complemented
85	#15689178	C₂²	1	2	yes	complemented
86	#15689178	C₂²	1	2	yes	complemented
87	#15689175	C₂²	1	2	yes	complemented
88	#15689149	C₂²	1	1	yes	characteristic, complemented
89	#15689149	C₂²	1	1	yes	characteristic, complemented
90	#15689147	C₂²	1	1	yes	characteristic, complemented
91	#15689091	C₂²	1	2	yes	complemented
92	#15689091	C₂²	1	2	yes	complemented
93	#15689089	C₂²	1	1	yes	characteristic
94	#15689089	C₂²	1	1	yes	characteristic
95	#15689089	C₂²	1	1	yes	characteristic
96	#15689089	C₂²	1	1	yes	characteristic
97	#15689089	C₂²	1	2	yes	complemented
98	#15689089	C₂²	1	2	yes	complemented
99	#15689089	C₂²	1	1	yes	characteristic, complemented
100	#15689089	C₂²	1	1	yes	characteristic, complemented
101	#15689089	C₂²	1	1	yes	characteristic, complemented
102	#15689089	C₂²	1	1	yes	characteristic, complemented
103	#15689088	C₂²	1	2	yes	complemented
104	#15689088	C₂²	1	2	yes	complemented
105	#15689088	C₂²	1	2	yes	complemented
106	#15689088	C₂²	1	2	yes	complemented
107	#15689087	C₂²	1	1	yes	characteristic, complemented
108	#15689087	C₂²	1	1	yes	characteristic, complemented
109	#15689086	C₂²	1	2	yes	complemented
110	#15689086	C₂²	1	2	yes	complemented
111	#15689085	C₂²	1	2	yes	complemented
112	#15689085	C₂²	1	2	yes	complemented
113	C₂×(C₂×D₄₇)⋊C₈	C₂²	1	2	yes	complemented
114	C₂×(C₂×D₄₇)⋊C₈	C₂²	1	2	yes	complemented
115	C₂²⋊C₈×D₄₇	C₂²	1	2	yes	complemented
116	C₂²⋊C₈×D₄₇	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	C₂²×M₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
121	C₂³×C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
122	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
123	C₄₇×#435	C₂²	1	1	yes	characteristic
124	C₄₇×#435	C₂²	1	1	yes	characteristic
125	C₄₇×#435	C₂²	1	1	yes	characteristic, complemented
126	C₄₇×#435	C₂²	1	1	yes	characteristic, complemented
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	C₂×C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₂²⋊C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
133	C₂×C₂²⋊C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
134	C₂×#97×C₄₇	C₂²	1	1	yes	characteristic, complemented
135	C₂×#10625350	—	4	2	no	—
136	C₂×#10625350	—	4	2	no	—
137	C₂×#10625350	—	4	2	no	—
138	C₂×#10625350	—	4	2	no	—
139	C₂×#10625350	C₂×C₄	1	2	yes	—
140	C₂×#10625350	C₂×C₄	1	2	yes	—
141	C₂×#10625350	C₂×C₄	1	1	yes	characteristic
142	C₂×#10625350	C₂×C₄	1	1	yes	characteristic
143	C₂×#10625350	C₂×C₄	1	1	yes	characteristic
144	C₂×#10625350	C₂×C₄	1	1	yes	characteristic
145	C₂×#10625350	C₂³	1	1	yes	characteristic
146	C₂×#10625350	C₂³	1	1	yes	characteristic
147	C₂×#10625350	C₂³	1	1	yes	characteristic
148	C₂×#10625350	C₂³	1	2	yes	—
149	C₂×#10625350	C₂³	1	2	yes	—
150	C₂²×Dic₉₄	C₂×C₄	1	1	yes	characteristic
151	C₂²×Dic₉₄	C₂×C₄	1	1	yes	characteristic
152	C₂²×D₁₈₈	C₂×C₄	1	1	yes	characteristic
153	C₂²×D₁₈₈	C₂×C₄	1	1	yes	characteristic
154	C₂²×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
155	C₂²×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
156	C₂×D₄×D₄₇	C₂×C₄	1	2	yes	—
157	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
158	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
159	#13094030	—	4	2	no	—
160	#13094030	—	4	2	no	—
161	#13094030	—	4	2	no	—
162	#13094030	—	4	2	no	—
163	C₂×#10625329	—	4	2	no	—
164	C₂×#10625329	—	4	2	no	—
165	C₂×#10625329	C₂³	1	1	yes	characteristic
166	C₂×#10625329	C₂³	1	1	yes	characteristic
167	C₂×#10625329	C₂³	1	1	yes	characteristic
168	C₂×#10625329	C₂³	1	1	yes	characteristic
169	C₂×#10625329	C₂³	1	2	yes	—
170	C₂×#10625329	C₂³	1	2	yes	—
171	C₂×#10625324	C₂³	1	2	yes	—
172	C₂×#10625324	C₂³	1	2	yes	—
173	C₂×#10625324	C₂³	1	2	yes	—
174	C₂×#10625324	C₂³	1	2	yes	—
175	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
176	C₂²×C₄₇⋊C₈	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	C₂×C₈×D₄₇	C₂³	1	2	yes	—
181	#13094024	C₂×C₄	1	1	yes	characteristic
182	#13094023	C₂×C₄	1	2	yes	—
183	#13094021	C₂×C₄	1	1	yes	characteristic
184	#13094020	C₂×C₄	1	2	yes	—
185	#13094012	C₂×C₄	1	1	yes	characteristic
186	#13094012	C₂×C₄	1	1	yes	characteristic
187	#13094010	C₂×C₄	1	2	yes	—
188	#13094010	C₂×C₄	1	2	yes	—
189	#13094009	C₂×C₄	1	2	yes	—
190	#13094009	C₂×C₄	1	2	yes	—
191	#13094007	C₂×C₄	1	2	yes	—
192	#13094007	C₂×C₄	1	2	yes	—
193	#13094006	C₂×C₄	1	2	yes	—
194	#13094006	C₂×C₄	1	2	yes	—
195	#13094003	C₂×C₄	1	1	yes	characteristic
196	#13094003	C₂×C₄	1	1	yes	characteristic
197	#13094003	C₂×C₄	1	1	yes	characteristic
198	#13094003	C₂×C₄	1	1	yes	characteristic
199	#13094002	C₂×C₄	1	2	yes	—
200	#13094002	C₂×C₄	1	2	yes	—
201	#13094001	C₂×C₄	1	2	yes	—
202	#13094001	C₂×C₄	1	2	yes	—
203	#13093999	C₂×C₄	1	2	yes	—
204	#13093998	C₂×C₄	1	2	yes	—
205	#13093998	C₂×C₄	1	1	yes	characteristic
206	#13093998	C₂×C₄	1	1	yes	characteristic
207	#13093998	C₂×C₄	1	2	yes	—
208	#13093998	C₂×C₄	1	1	yes	characteristic
209	#13093998	C₂×C₄	1	1	yes	characteristic
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	#13093995	C₂×C₄	1	2	yes	—
217	#13093994	C₂×C₄	1	2	yes	—
218	#13093994	C₂×C₄	1	2	yes	—
219	#13093993	C₂×C₄	1	2	yes	—
220	#13093993	C₂×C₄	1	2	yes	—
221	#13093992	C₂×C₄	1	2	yes	—
222	#13093992	C₂×C₄	1	2	yes	—
223	C₄×Dic₉₄	C₂×C₄	1	1	yes	characteristic
224	C₄×Dic₉₄	C₂×C₄	1	1	yes	characteristic
225	C₄×D₁₈₈	C₂×C₄	1	1	yes	characteristic
226	C₄×D₁₈₈	C₂×C₄	1	1	yes	characteristic
227	C₄×D₁₈₈	C₂³	1	2	yes	—
228	C₄×D₁₈₈	C₂³	1	2	yes	—
229	D₄×Dic₄₇	C₂×C₄	1	2	yes	—
230	#13093986	C₂×C₄	1	2	yes	—
231	C₄×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
232	C₄×C₂²⋊D₄₇	C₂×C₄	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	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
237	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
238	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
239	#13093983	C₂³	1	1	yes	characteristic
240	#13093981	C₂³	1	2	yes	—
241	C₄⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
242	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
243	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
244	C₄²×D₄₇	C₂³	1	2	yes	—
245	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
246	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
247	Dic₄₇⋊C₈	C₂³	1	2	yes	—
248	Dic₄₇⋊C₈	C₂³	1	2	yes	—
249	Dic₄₇⋊C₈	C₂³	1	2	yes	—
250	Dic₄₇⋊C₈	C₂³	1	2	yes	—
251	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
252	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
253	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
254	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
255	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
256	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
257	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
258	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
259	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
260	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
261	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
262	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
263	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
264	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
265	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
266	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
267	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
268	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
269	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
270	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
271	#13093935	C₂³	1	2	yes	—
272	#13093934	C₂³	1	2	yes	—
273	#13093934	C₂³	1	2	yes	—
274	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
275	C₈×Dic₄₇	C₂³	1	2	yes	—
276	C₈×Dic₄₇	C₂³	1	2	yes	—
277	C₂²×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
278	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
279	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
280	C₂×M₁₆×C₄₇	—	4	2	no	—
281	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
282	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
283	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
284	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
285	C₂²×C₈×C₄₇	—	4	2	no	—
286	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
287	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
288	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
289	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
290	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
291	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
292	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
293	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
294	C₄×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
295	C₄×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
296	C₄×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
297	C₄×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
298	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
299	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
300	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
301	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
305	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
306	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
307	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
308	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
309	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
310	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
311	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
312	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
313	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
314	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
315	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
316	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
317	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
318	#97×C₄₇	C₂³	1	1	yes	characteristic
319	#97×C₄₇	C₂³	1	1	yes	characteristic
320	#97×C₄₇	C₂³	1	1	yes	characteristic
321	#97×C₄₇	C₂³	1	1	yes	characteristic
322	C₂⁴×C₄₇	C₂²×C₄	1	1	yes	characteristic
323	C₂⁴×C₄₇	C₂²×C₄	1	1	yes	characteristic
324	C₂³×D₄₇	C₂²×C₄	1	2	yes	—
325	C₂³×D₄₇	C₂²×C₄	1	2	yes	—
326	C₂×D₄×C₄₇	—	4	2	no	—
327	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
328	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
329	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
330	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
331	C₂²×C₄×C₄₇	—	2	2	no	—
332	C₂²×C₄×C₄₇	—	2	2	no	—
333	C₂²×C₄×C₄₇	—	2	2	no	—
334	C₂²×C₄×C₄₇	—	2	2	no	—
335	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
336	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
337	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
338	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
339	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
340	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
341	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
342	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
343	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
348	C₂×C₂²⋊D₄₇	—	4	4	no	—
349	C₂×C₂²⋊D₄₇	—	4	4	no	—
350	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
351	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
352	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
353	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
354	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
355	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
356	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
357	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
358	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
359	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
360	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
361	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
362	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
363	D₄×D₄₇	—	4	4	no	—
364	#10625350	—	2	2	no	—
365	#10625350	—	2	2	no	—
366	#10625350	—	2	2	no	—
367	#10625350	—	2	2	no	—
368	#10625350	—	2	2	no	—
369	#10625350	—	2	2	no	—
370	#10625350	—	4	2	no	—
371	#10625350	—	4	2	no	—
372	#10625350	—	4	2	no	—
373	#10625350	—	4	2	no	—
374	#10625350	—	4	2	no	—
375	#10625350	—	4	2	no	—
376	#10625350	—	4	2	no	—
377	#10625350	—	4	2	no	—
378	#10625350	—	4	4	no	—
379	#10625350	—	4	4	no	—
380	C₂×D₁₈₈	—	4	2	no	—
381	C₂×D₁₈₈	—	4	2	no	—
382	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
383	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
384	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
385	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
386	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
387	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
388	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
389	C₂×C₄×D₄₇	—	4	2	no	—
390	C₂×C₄×D₄₇	—	4	2	no	—
391	C₂×C₄×D₄₇	—	4	2	no	—
392	C₂×C₄×D₄₇	—	4	2	no	—
393	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
394	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
395	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
396	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
397	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
398	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
399	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
400	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
401	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
402	C₂×Dic₉₄	—	4	2	no	—
403	C₂×Dic₉₄	—	4	2	no	—
404	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
405	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
406	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
407	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
408	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
409	M₁₆×C₄₇	—	4	1	no	—
410	M₁₆×C₄₇	—	4	1	no	—
411	M₁₆×C₄₇	—	4	1	no	—
412	M₁₆×C₄₇	—	4	1	no	—
413	C₂×C₈×C₄₇	—	2	2	no	—
414	C₂×C₈×C₄₇	—	2	2	no	—
415	C₂×C₈×C₄₇	—	2	2	no	—
416	C₂×C₈×C₄₇	—	2	2	no	—
417	C₂×C₈×C₄₇	—	4	1	no	—
418	C₂×C₈×C₄₇	—	4	1	no	—
419	C₂×C₈×C₄₇	—	4	1	no	—
420	C₂×C₈×C₄₇	—	4	1	no	—
421	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
422	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
423	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
424	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
425	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
426	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
427	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
428	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
429	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
430	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
431	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
432	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
433	C₂²⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
434	C₂²⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
435	C₂²⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
436	C₂²⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
437	C₂²⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
438	C₂²⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
439	C₂²⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
440	C₂²⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
441	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
442	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
443	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
444	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
445	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
446	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
447	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
448	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
449	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
450	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
451	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
452	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
453	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
454	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
455	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
456	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
457	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
458	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
459	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
460	C₄⋊Dic₄₇	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	C₂²×C₄	1	2	yes	—
464	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
465	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
466	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
467	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
468	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
469	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
470	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
471	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
472	C₄×Dic₄₇	C₂⁴	1	2	yes	—
473	#10625329	—	2	2	no	—
474	#10625329	—	2	2	no	—
475	#10625329	—	2	2	no	—
476	#10625329	—	2	2	no	—
477	#10625329	—	4	2	no	—
478	#10625329	—	4	2	no	—
479	C₂×C₄₇⋊C₈	—	4	2	no	—
480	C₂×C₄₇⋊C₈	—	4	2	no	—
481	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
482	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
483	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
484	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
485	#10625324	—	4	2	no	—
486	#10625324	—	4	2	no	—
487	#10625324	—	4	2	no	—
488	#10625324	—	4	2	no	—
489	C₈×D₄₇	—	4	2	no	—
490	C₈×D₄₇	—	4	2	no	—
491	C₈×D₄₇	—	4	2	no	—
492	C₈×D₄₇	—	4	2	no	—
493	C₂³×C₄₇	—	2	2	no	—
494	C₂³×C₄₇	—	2	2	no	—
495	C₂³×C₄₇	—	2	2	no	—
496	C₂³×C₄₇	—	4	1	no	—
497	C₂³×C₄₇	—	4	1	no	—
498	C₂³×C₄₇	—	4	1	no	—
499	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
500	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
501	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
502	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
503	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
504	C₂²×D₄₇	—	2	4	no	—
505	C₂²×D₄₇	—	4	2	no	—
506	C₂²×D₄₇	—	4	2	no	—
507	C₂²×D₄₇	—	4	2	no	—
508	C₂²×D₄₇	—	4	2	no	—
509	C₂²×D₄₇	—	4	2	no	—
510	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
511	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
512	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
513	D₄×C₄₇	—	2	2	no	—
514	D₄×C₄₇	—	2	2	no	—
515	D₄×C₄₇	—	4	1	no	—
516	D₄×C₄₇	—	4	1	no	—
517	C₂×C₄×C₄₇	—	2	2	no	—
518	C₂×C₄×C₄₇	—	2	2	no	—
519	C₂×C₄×C₄₇	—	2	2	no	—
520	C₂×C₄×C₄₇	—	2	2	no	—
521	C₂×C₄×C₄₇	—	2	2	no	—
522	C₂×C₄×C₄₇	—	2	2	no	—
523	C₂×C₄×C₄₇	—	2	1	no	—
524	C₂×C₄×C₄₇	—	2	1	no	—
525	C₂×C₄×C₄₇	—	2	1	no	—
526	C₂×C₄×C₄₇	—	2	1	no	—
527	C₂×C₄×C₄₇	—	2	1	no	—
528	C₂×C₄×C₄₇	—	2	1	no	—
529	C₂×C₄×C₄₇	—	2	1	no	—
530	C₂×C₄×C₄₇	—	2	1	no	—
531	C₂×C₄×C₄₇	—	4	1	no	—
532	C₂×C₄×C₄₇	—	4	1	no	—
533	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
534	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
535	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
536	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
537	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
538	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
539	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
540	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
541	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
542	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
543	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
544	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
545	C₂²⋊D₄₇	—	2	4	no	—
546	C₂²⋊D₄₇	—	2	4	no	—
547	C₂²⋊D₄₇	—	2	4	no	—
548	C₂²⋊D₄₇	—	2	4	no	—
549	C₂²⋊D₄₇	—	4	2	no	—
550	C₂²⋊D₄₇	—	4	2	no	—
551	C₂²⋊D₄₇	—	4	2	no	—
552	C₂²⋊D₄₇	—	4	2	no	—
553	C₂²⋊D₄₇	—	4	2	no	—
554	C₂²⋊D₄₇	—	4	2	no	—
555	C₂²⋊D₄₇	—	4	2	no	—
556	C₂×Dic₄₇	—	4	2	no	—
557	C₂×Dic₄₇	—	4	2	no	—
558	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
559	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
560	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
561	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
562	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
563	D₁₈₈	—	2	2	no	—
564	D₁₈₈	—	2	2	no	—
565	D₁₈₈	—	2	2	no	—
566	D₁₈₈	—	4	2	no	—
567	D₁₈₈	—	4	2	no	—
568	D₁₈₈	—	4	2	no	—
569	D₁₈₈	—	4	2	no	—
570	C₄×D₄₇	—	2	2	no	—
571	C₄×D₄₇	—	2	2	no	—
572	C₄×D₄₇	—	2	2	no	—
573	C₄×D₄₇	—	2	2	no	—
574	C₄×D₄₇	—	2	2	no	—
575	C₄×D₄₇	—	2	2	no	—
576	C₄×D₄₇	—	4	2	no	—
577	C₄×D₄₇	—	4	2	no	—
578	C₄×D₄₇	—	4	2	no	—
579	C₄×D₄₇	—	4	2	no	—
580	C₄×D₄₇	—	4	2	no	—
581	C₄×D₄₇	—	4	2	no	—
582	Dic₉₄	—	2	2	no	—
583	Dic₉₄	—	2	2	no	—
584	Dic₉₄	—	2	2	no	—
585	Dic₉₄	—	4	2	no	—
586	Dic₉₄	—	4	2	no	—
587	C₈×C₄₇	—	2	1	no	—
588	C₈×C₄₇	—	2	1	no	—
589	C₈×C₄₇	—	2	1	no	—
590	C₈×C₄₇	—	2	1	no	—
591	C₈×C₄₇	—	2	1	no	—
592	C₈×C₄₇	—	2	1	no	—
593	C₈×C₄₇	—	2	1	no	—
594	C₈×C₄₇	—	2	1	no	—
595	C₄₇⋊C₈	—	2	2	no	—
596	C₄₇⋊C₈	—	2	2	no	—
597	C₄₇⋊C₈	—	2	2	no	—
598	C₄₇⋊C₈	—	2	2	no	—
599	#60240	—	47	1	no	maximal, Sylow
600	C₂²×C₄₇	—	2	1	no	—
601	C₂²×C₄₇	—	2	1	no	—
602	C₂²×C₄₇	—	2	1	no	—
603	C₂²×C₄₇	—	2	1	no	—
604	C₂²×C₄₇	—	2	1	no	—
605	C₂²×C₄₇	—	2	1	no	—
606	C₂²×C₄₇	—	2	1	no	—
607	C₂²×C₄₇	—	2	1	no	—
608	C₂²×C₄₇	—	2	1	no	—
609	C₂²×C₄₇	—	2	1	no	—
610	C₂²×C₄₇	—	2	1	no	—
611	C₂²×C₄₇	—	2	1	no	—
612	C₂²×C₄₇	—	2	1	no	—
613	C₂²×C₄₇	—	4	4	no	—
614	C₂²×C₄₇	—	8	2	no	—
615	C₂²×C₄₇	#518	1	2	yes	—
616	C₂²×C₄₇	#568	1	2	yes	—
617	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
618	C₂×D₄₇	—	2	2	no	—
619	C₂×D₄₇	—	2	2	no	—
620	C₂×D₄₇	—	2	2	no	—
621	C₂×D₄₇	—	2	2	no	—
622	C₂×D₄₇	—	2	2	no	—
623	C₂×D₄₇	—	2	2	no	—
624	C₂×D₄₇	—	2	2	no	—
625	C₂×D₄₇	—	2	2	no	—
626	C₂×D₄₇	—	2	2	no	—
627	C₂×D₄₇	—	8	4	no	—
628	C₂×D₄₇	—	8	4	no	—
629	C₄×C₄₇	—	2	1	no	—
630	C₄×C₄₇	—	2	1	no	—
631	C₄×C₄₇	—	2	1	no	—
632	C₄×C₄₇	—	2	1	no	—
633	C₄×C₄₇	—	2	1	no	—
634	C₄×C₄₇	—	2	1	no	—
635	C₄×C₄₇	—	2	1	no	—
636	C₄×C₄₇	—	2	1	no	—
637	C₄×C₄₇	#518	1	2	yes	—
638	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
639	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
640	Dic₄₇	—	2	2	no	—
641	Dic₄₇	—	2	2	no	—
642	Dic₄₇	—	2	2	no	—
643	Dic₄₇	—	2	2	no	—
644	Dic₄₇	—	2	2	no	—
645	D₄×#41	—	47	1	no	—
646	#2981	—	47	2	no	—
647	#2980	—	47	2	no	—
648	#2978	—	47	2	no	—
649	#2977	—	47	2	no	—
650	#2976	—	47	2	no	—
651	#2976	—	47	2	no	—
652	#2974	—	47	2	no	—
653	#2973	—	47	2	no	—
654	#2935	—	47	1	no	—
655	D₄×M₁₆	—	47	1	no	—
656	#2933	—	47	1	no	—
657	#2933	—	47	1	no	—
658	#2932	—	47	1	no	—
659	#2930	—	47	1	no	—
660	#2929	—	47	1	no	—
661	C₂×#435	D₄₇	1	1	yes	characteristic, complemented
662	#2925	—	47	1	no	—
663	#2923	—	47	1	no	—
664	#2880	—	47	1	no	—
665	#2880	—	47	1	no	—
666	#2879	—	47	1	no	—
667	C₂×#408	—	47	1	no	—
668	C₂×C₄₇	—	2	2	no	—
669	C₂×C₄₇	—	2	2	no	—
670	C₂×C₄₇	—	4	1	no	—
671	C₂×C₄₇	—	4	1	no	—
672	C₂×C₄₇	—	4	1	no	—
673	C₂×C₄₇	C₂×#518	1	1	yes	characteristic
674	C₂×C₄₇	C₂×#568	1	1	yes	characteristic
675	C₂×C₄₇	#3573	1	1	yes	characteristic
676	D₄₇	—	4	2	no	—
677	D₄₇	—	4	2	no	—
678	D₄₇	—	4	2	no	—
679	C₂²×#41	—	47	1	no	—
680	C₂²×#41	—	47	1	no	—
681	C₂×#131	—	47	1	no	—
682	C₂×#131	—	47	1	no	—
683	C₂×#131	—	47	1	no	—
684	C₂×#131	—	47	1	no	—
685	C₂²×M₁₆	—	47	1	no	—
686	C₂²×M₁₆	—	47	1	no	—
687	C₂²×M₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
688	C₂³×C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
689	#550	—	47	1	no	—
690	D₄×Q₈	—	47	1	no	—
691	#548	—	47	1	no	—
692	#548	—	47	1	no	—
693	#547	—	47	1	no	—
694	#547	—	47	2	no	—
695	#546	—	47	1	no	—
696	#546	—	47	1	no	—
697	#546	—	47	2	no	—
698	#546	—	47	2	no	—
699	D₄²	—	47	2	no	—
700	D₄²	—	47	1	no	—
701	#532	—	47	2	no	—
702	#532	—	47	1	no	—
703	#525	—	47	1	no	—
704	#525	—	47	1	no	—
705	#525	—	47	2	no	—
706	#525	—	47	2	no	—
707	C₄×#41	—	47	1	no	—
708	C₂×C₄×D₄	—	47	2	no	—
709	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
710	#436	—	47	2	no	—
711	#436	—	47	2	no	—
712	#436	—	47	2	no	—
713	#436	—	47	2	no	—
714	#436	—	47	2	no	—
715	#436	—	47	2	no	—
716	#435	—	47	2	no	—
717	#435	—	47	2	no	—
718	#435	—	47	2	no	—
719	#435	—	47	2	no	—
720	#435	—	47	2	no	—
721	#435	—	47	2	no	—
722	#435	—	47	2	no	—
723	#435	—	47	2	no	—
724	#435	—	47	2	no	—
725	#435	—	47	2	no	—
726	#435	—	47	2	no	—
727	#435	—	47	2	no	—
728	#435	—	47	2	no	—
729	#435	—	47	2	no	—
730	#435	—	47	2	no	—
731	#435	—	47	2	no	—
732	#435	C₂×D₄₇	1	1	yes	characteristic
733	#435	C₂×D₄₇	1	1	yes	characteristic
734	#435	C₂×D₄₇	1	1	yes	characteristic, complemented
735	#435	C₂×D₄₇	1	1	yes	characteristic, complemented
736	#435	C₂×D₄₇	1	1	yes	characteristic, complemented
737	#435	C₂×D₄₇	1	1	yes	characteristic, complemented
738	#435	C₂×D₄₇	1	1	yes	characteristic, complemented
739	#435	C₂×D₄₇	1	1	yes	characteristic, complemented
740	C₈×D₄	—	47	2	no	—
741	C₈×D₄	—	47	2	no	—
742	C₈×D₄	—	47	2	no	—
743	C₈×D₄	—	47	2	no	—
744	C₈×D₄	—	47	2	no	—
745	C₈×D₄	—	47	2	no	—
746	#433	—	47	2	no	—
747	#433	—	47	2	no	—
748	#433	—	47	2	no	—
749	#433	—	47	2	no	—
750	#432	—	47	2	no	—
751	#432	—	47	2	no	—
752	#432	—	47	2	no	—
753	#431	—	47	2	no	—
754	#424	—	47	1	no	—
755	#424	—	47	1	no	—
756	#423	—	47	1	no	—
757	C₂×C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
758	#408	—	47	2	no	—
759	#408	—	47	2	no	—
760	#408	—	47	1	no	—
761	#408	—	47	1	no	—
762	#408	—	47	1	no	—
763	#408	—	47	1	no	—
764	#408	—	47	2	no	—
765	#408	—	47	2	no	—
766	#408	—	47	1	no	—
767	#408	—	47	1	no	—
768	#408	—	47	1	no	—
769	#408	—	47	1	no	—
770	#408	—	47	2	no	—
771	#408	—	47	2	no	—
772	#408	—	47	2	no	—
773	#408	—	47	2	no	—
774	#407	—	47	1	no	—
775	#407	—	47	1	no	—
776	#407	—	47	2	no	—
777	#407	—	47	2	no	—
778	#407	—	47	2	no	—
779	#407	—	47	2	no	—
780	C₂×C₂²⋊C₈	—	47	2	no	—
781	C₂×C₂²⋊C₈	—	47	2	no	—
782	C₂×C₂²⋊C₈	—	47	2	no	—
783	C₂×C₂²⋊C₈	—	47	2	no	—
784	C₂×C₂²⋊C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
785	C₂×C₂²⋊C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
786	#405	—	47	1	no	—
787	#405	—	47	1	no	—
788	C₄×M₁₆	—	47	1	no	—
789	C₂×#97	C₂×D₄₇	1	1	yes	characteristic, complemented
790	C₄₇	#60240	1	1	yes	characteristic, complemented, Sylow
791	C₂×#41	—	47	1	no	—
792	C₂×#41	—	47	1	no	—
793	C₂×#41	—	47	2	no	—
794	C₂×#41	—	47	2	no	—
795	C₂×#41	—	47	1	no	—
796	C₂×#41	—	47	1	no	—
797	C₂×#41	—	47	1	no	—
798	C₂×#41	—	47	1	no	—
799	C₂×#41	—	47	1	no	—
800	C₂×#41	—	47	2	no	—
801	C₂×#41	—	47	2	no	—
802	C₂×#41	—	188	2	no	—
803	C₂×#41	—	188	2	no	—
804	C₂×#41	—	188	2	no	—
805	C₂×#41	—	188	2	no	—
806	C₂²×Q₈	—	47	1	no	—
807	C₂²×Q₈	—	47	1	no	—
808	C₂²×D₄	—	47	2	no	—
809	C₂²×D₄	—	47	2	no	—
810	C₂²×D₄	—	47	2	no	—
811	C₂²×D₄	—	47	1	no	—
812	C₂²×D₄	—	47	1	no	—
813	C₂²×D₄	C₄×D₄₇	1	1	yes	characteristic
814	C₂³×C₄	—	47	2	no	—
815	C₂³×C₄	—	47	2	no	—
816	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
817	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
818	#131	—	188	2	no	—
819	#131	—	188	2	no	—
820	#131	—	188	2	no	—
821	#131	—	188	2	no	—
822	C₂×M₁₆	—	4	2	no	—
823	C₂×M₁₆	—	47	1	no	—
824	C₂×M₁₆	—	47	1	no	—
825	C₂×M₁₆	—	47	1	no	—
826	C₂×M₁₆	—	47	1	no	—
827	C₂×M₁₆	—	47	2	no	—
828	C₂×M₁₆	—	47	2	no	—
829	C₂×M₁₆	—	47	2	no	—
830	C₂×M₁₆	—	47	2	no	—
831	C₂×M₁₆	—	47	2	no	—
832	C₂×M₁₆	—	47	2	no	—
833	C₂×M₁₆	—	188	2	no	—
834	C₂×M₁₆	—	188	2	no	—
835	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
836	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
837	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
838	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
839	C₂²×C₈	—	4	2	no	—
840	C₂²×C₈	—	47	2	no	—
841	C₂²×C₈	—	47	2	no	—
842	C₂²×C₈	—	47	2	no	—
843	C₂²×C₈	—	47	2	no	—
844	C₂²×C₈	—	47	2	no	—
845	C₂²×C₈	—	47	2	no	—
846	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
847	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
848	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
849	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
850	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
851	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
852	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
853	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
854	C₄⋊Q₈	—	47	2	no	—
855	C₄⋊Q₈	—	47	1	no	—
856	#127	—	47	2	no	—
857	#127	—	47	1	no	—
858	#124	—	47	2	no	—
859	#124	—	47	2	no	—
860	#124	—	47	1	no	—
861	#124	—	47	1	no	—
862	#123	—	47	2	no	—
863	#123	—	47	2	no	—
864	#123	—	47	2	no	—
865	#123	—	47	2	no	—
866	#123	—	47	2	no	—
867	#123	—	47	2	no	—
868	C₂²⋊Q₈	—	47	1	no	—
869	C₂²⋊Q₈	—	47	1	no	—
870	C₂²⋊Q₈	—	47	1	no	—
871	C₂²⋊Q₈	—	47	1	no	—
872	C₂²⋊Q₈	—	47	2	no	—
873	C₂²⋊Q₈	—	47	2	no	—
874	C₂²⋊Q₈	—	47	2	no	—
875	C₂²⋊Q₈	—	47	2	no	—
876	#121	—	47	2	no	—
877	#121	—	47	2	no	—
878	#121	—	47	2	no	—
879	#121	—	47	1	no	—
880	#121	—	47	1	no	—
881	#121	—	47	1	no	—
882	#121	—	47	1	no	—
883	#121	—	47	2	no	—
884	#121	—	47	2	no	—
885	#121	—	47	2	no	—
886	#121	—	47	2	no	—
887	#121	—	47	2	no	—
888	#121	—	47	2	no	—
889	#121	—	47	2	no	—
890	#120	—	47	2	no	—
891	#120	—	47	2	no	—
892	#120	—	47	2	no	—
893	#120	—	47	2	no	—
894	#120	—	47	2	no	—
895	#120	—	47	2	no	—
896	C₄×Q₈	—	47	1	no	—
897	C₄×Q₈	—	47	1	no	—
898	C₄×D₄	—	47	2	no	—
899	C₄×D₄	—	47	2	no	—
900	C₄×D₄	—	47	2	no	—
901	C₄×D₄	—	47	2	no	—
902	C₄×D₄	—	47	2	no	—
903	C₄×D₄	—	47	2	no	—
904	C₄×D₄	—	47	2	no	—
905	C₄×D₄	—	47	2	no	—
906	C₄×D₄	—	47	2	no	—
907	C₄×D₄	—	47	2	no	—
908	C₄×D₄	—	47	1	no	—
909	C₄×D₄	—	47	1	no	—
910	C₄×D₄	—	47	2	no	—
911	C₄×D₄	—	47	2	no	—
912	C₄×D₄	C₄×D₄₇	1	1	yes	characteristic
913	C₄×D₄	C₄×D₄₇	1	1	yes	characteristic
914	C₄×D₄	C₄×D₄₇	1	1	yes	characteristic
915	C₄×D₄	C₄×D₄₇	1	1	yes	characteristic
916	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
917	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
918	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
919	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
920	#117	—	47	1	no	—
921	#117	—	47	2	no	—
922	C₂×C₄⋊C₄	—	47	2	no	—
923	C₂×C₄⋊C₄	C₄×D₄₇	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	—	47	2	no	—
925	C₂×C₂²⋊C₄	—	47	2	no	—
926	C₂×C₂²⋊C₄	C₄×D₄₇	1	1	yes	characteristic
927	C₂×C₂²⋊C₄	C₄×D₄₇	1	1	yes	characteristic
928	C₂×C₄²	—	47	2	no	—
929	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
930	C₄⋊C₈	—	47	2	no	—
931	C₄⋊C₈	—	47	2	no	—
932	C₄⋊C₈	—	47	2	no	—
933	C₄⋊C₈	—	47	2	no	—
934	C₄⋊C₈	—	47	2	no	—
935	C₄⋊C₈	—	47	2	no	—
936	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
937	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
938	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
939	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
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	—	47	2	no	—
946	C₂²⋊C₈	—	47	2	no	—
947	C₂²⋊C₈	—	47	2	no	—
948	C₂²⋊C₈	—	47	2	no	—
949	C₂²⋊C₈	—	47	2	no	—
950	C₂²⋊C₈	—	47	2	no	—
951	C₂²⋊C₈	—	47	2	no	—
952	C₂²⋊C₈	—	47	2	no	—
953	C₂²⋊C₈	—	47	2	no	—
954	C₂²⋊C₈	—	47	2	no	—
955	C₂²⋊C₈	—	47	2	no	—
956	C₂²⋊C₈	—	47	2	no	—
957	C₂²⋊C₈	—	47	2	no	—
958	C₂²⋊C₈	—	47	2	no	—
959	C₂²⋊C₈	—	47	2	no	—
960	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
961	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
962	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
963	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
964	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
965	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
966	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
967	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
968	#97	—	47	2	no	—
969	#97	—	47	2	no	—
970	#97	—	47	2	no	—
971	#97	C₂²×D₄₇	1	1	yes	characteristic
972	#97	C₂²×D₄₇	1	1	yes	characteristic
973	#97	C₂²×D₄₇	1	1	yes	characteristic
974	#97	C₂²×D₄₇	1	1	yes	characteristic
975	C₄×C₈	—	47	2	no	—
976	C₄×C₈	—	47	2	no	—
977	C₄×C₈	—	47	2	no	—
978	C₂⁴	—	47	2	no	—
979	C₂⁴	—	47	2	no	—
980	C₂⁴	C₂×C₄×D₄₇	1	1	yes	characteristic
981	C₂⁴	C₂×C₄×D₄₇	1	1	yes	characteristic
982	#41	—	94	2	no	—
983	#41	—	94	2	no	—
984	#41	—	94	2	no	—
985	#41	—	94	2	no	—
986	#41	—	94	2	no	—
987	#41	—	94	2	no	—
988	#41	—	188	2	no	—
989	#41	—	188	2	no	—
990	#41	—	188	2	no	—
991	#41	—	188	2	no	—
992	#41	—	188	4	no	—
993	#41	—	188	4	no	—
994	#41	—	188	2	no	—
995	#41	—	188	2	no	—
996	#41	—	188	2	no	—
997	#41	—	188	2	no	—
998	C₂×Q₈	—	47	1	no	—
999	C₂×Q₈	—	47	1	no	—
1000	C₂×Q₈	—	47	1	no	—
1001	C₂×Q₈	—	47	2	no	—
1002	C₂×Q₈	—	47	2	no	—
1003	C₂×Q₈	—	188	2	no	—
1004	C₂×Q₈	—	188	2	no	—
1005	C₂×D₄	—	4	2	no	—
1006	C₂×D₄	—	47	2	no	—
1007	C₂×D₄	—	47	2	no	—
1008	C₂×D₄	—	47	2	no	—
1009	C₂×D₄	—	47	2	no	—
1010	C₂×D₄	—	47	2	no	—
1011	C₂×D₄	—	47	2	no	—
1012	C₂×D₄	—	47	2	no	—
1013	C₂×D₄	—	47	2	no	—
1014	C₂×D₄	—	47	2	no	—
1015	C₂×D₄	—	47	2	no	—
1016	C₂×D₄	—	47	2	no	—
1017	C₂×D₄	—	47	1	no	—
1018	C₂×D₄	—	47	1	no	—
1019	C₂×D₄	—	47	1	no	—
1020	C₂×D₄	—	47	2	no	—
1021	C₂×D₄	—	47	2	no	—
1022	C₂×D₄	—	47	2	no	—
1023	C₂×D₄	—	47	2	no	—
1024	C₂×D₄	—	188	2	no	—
1025	C₂×D₄	—	188	2	no	—
1026	C₂×D₄	—	188	4	no	—
1027	C₂×D₄	—	188	4	no	—
1028	C₂×D₄	—	188	4	no	—
1029	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1030	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1031	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1032	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1033	C₂²×C₄	—	2	2	no	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	47	2	no	—
1038	C₂²×C₄	—	47	2	no	—
1039	C₂²×C₄	—	47	2	no	—
1040	C₂²×C₄	—	47	2	no	—
1041	C₂²×C₄	—	47	2	no	—
1042	C₂²×C₄	—	47	2	no	—
1043	C₂²×C₄	—	47	2	no	—
1044	C₂²×C₄	—	47	2	no	—
1045	C₂²×C₄	—	47	2	no	—
1046	C₂²×C₄	—	47	2	no	—
1047	C₂²×C₄	—	47	2	no	—
1048	C₂²×C₄	—	188	2	no	—
1049	C₂²×C₄	—	188	2	no	—
1050	C₂²×C₄	—	188	2	no	—
1051	C₂²×C₄	—	188	2	no	—
1052	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1053	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1054	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1055	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1056	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1057	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1058	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1059	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1065	M₁₆	—	4	1	no	—
1066	M₁₆	—	4	1	no	—
1067	M₁₆	—	4	1	no	—
1068	M₁₆	—	4	1	no	—
1069	M₁₆	—	94	2	no	—
1070	M₁₆	—	94	2	no	—
1071	M₁₆	—	94	2	no	—
1072	M₁₆	—	94	2	no	—
1073	M₁₆	—	188	2	no	—
1074	M₁₆	—	188	2	no	—
1075	M₁₆	—	188	2	no	—
1076	M₁₆	—	188	2	no	—
1077	M₁₆	—	188	2	no	—
1078	M₁₆	—	188	2	no	—
1079	C₂×C₈	—	2	2	no	—
1080	C₂×C₈	—	2	2	no	—
1081	C₂×C₈	—	2	2	no	—
1082	C₂×C₈	—	2	2	no	—
1083	C₂×C₈	—	4	1	no	—
1084	C₂×C₈	—	4	1	no	—
1085	C₂×C₈	—	4	1	no	—
1086	C₂×C₈	—	4	1	no	—
1087	C₂×C₈	—	47	2	no	—
1088	C₂×C₈	—	47	2	no	—
1089	C₂×C₈	—	47	2	no	—
1090	C₂×C₈	—	47	2	no	—
1091	C₂×C₈	—	188	2	no	—
1092	C₂×C₈	—	188	2	no	—
1093	C₂×C₈	—	188	2	no	—
1094	C₂×C₈	—	188	2	no	—
1095	C₂×C₈	—	188	2	no	—
1096	C₂×C₈	—	188	2	no	—
1097	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1098	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1099	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1100	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1101	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1102	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1103	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1104	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1105	C₄⋊C₄	—	47	2	no	—
1106	C₄⋊C₄	—	47	2	no	—
1107	C₄⋊C₄	—	47	2	no	—
1108	C₄⋊C₄	—	47	2	no	—
1109	C₄⋊C₄	—	47	2	no	—
1110	C₄⋊C₄	—	47	2	no	—
1111	C₄⋊C₄	—	47	2	no	—
1112	C₄⋊C₄	—	47	1	no	—
1113	C₄⋊C₄	—	47	1	no	—
1114	C₄⋊C₄	—	47	2	no	—
1115	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1116	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1117	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1118	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1119	C₂²⋊C₄	—	47	2	no	—
1120	C₂²⋊C₄	—	47	2	no	—
1121	C₂²⋊C₄	—	47	2	no	—
1122	C₂²⋊C₄	—	47	2	no	—
1123	C₂²⋊C₄	—	47	2	no	—
1124	C₂²⋊C₄	—	47	2	no	—
1125	C₂²⋊C₄	—	47	2	no	—
1126	C₂²⋊C₄	—	47	2	no	—
1127	C₂²⋊C₄	—	47	2	no	—
1128	C₂²⋊C₄	—	47	2	no	—
1129	C₂²⋊C₄	—	47	2	no	—
1130	C₂²⋊C₄	—	47	2	no	—
1131	C₂²⋊C₄	—	47	2	no	—
1132	C₂²⋊C₄	—	47	2	no	—
1133	C₂²⋊C₄	—	47	2	no	—
1134	C₂²⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1135	C₂²⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1136	C₂²⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1137	C₂²⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1138	C₂²⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1139	C₂²⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1140	C₂²⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1141	C₂²⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1142	C₄²	—	47	2	no	—
1143	C₄²	—	47	2	no	—
1144	C₄²	—	47	2	no	—
1145	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
1146	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
1147	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1148	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1149	C₂³	—	2	2	no	—
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	4	1	no	—
1153	C₂³	—	4	1	no	—
1154	C₂³	—	4	1	no	—
1155	C₂³	—	47	2	no	—
1156	C₂³	—	47	2	no	—
1157	C₂³	—	47	2	no	—
1158	C₂³	—	94	4	no	—
1159	C₂³	—	188	2	no	—
1160	C₂³	—	188	2	no	—
1161	C₂³	—	188	2	no	—
1162	C₂³	—	188	2	no	—
1163	C₂³	—	188	2	no	—
1164	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1165	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1166	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1167	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1168	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1169	Q₈	—	94	2	no	—
1170	Q₈	—	94	2	no	—
1171	Q₈	—	94	2	no	—
1172	Q₈	—	188	2	no	—
1173	Q₈	—	188	2	no	—
1174	D₄	—	2	2	no	—
1175	D₄	—	2	2	no	—
1176	D₄	—	4	1	no	—
1177	D₄	—	4	1	no	—
1178	D₄	—	94	4	no	—
1179	D₄	—	94	4	no	—
1180	D₄	—	94	4	no	—
1181	D₄	—	94	4	no	—
1182	D₄	—	94	2	no	—
1183	D₄	—	94	2	no	—
1184	D₄	—	94	2	no	—
1185	D₄	—	188	2	no	—
1186	D₄	—	188	2	no	—
1187	D₄	—	188	2	no	—
1188	D₄	—	188	2	no	—
1189	D₄	—	188	2	no	—
1190	D₄	—	188	2	no	—
1191	D₄	—	188	2	no	—
1192	D₄	—	188	2	no	—
1193	D₄	—	188	2	no	—
1194	D₄	—	188	2	no	—
1195	D₄	—	188	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	2	no	—
1201	C₂×C₄	—	2	2	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	4	1	no	—
1211	C₂×C₄	—	4	1	no	—
1212	C₂×C₄	—	47	2	no	—
1213	C₂×C₄	—	47	2	no	—
1214	C₂×C₄	—	47	2	no	—
1215	C₂×C₄	—	47	2	no	—
1216	C₂×C₄	—	47	2	no	—
1217	C₂×C₄	—	94	2	no	—
1218	C₂×C₄	—	94	2	no	—
1219	C₂×C₄	—	94	2	no	—
1220	C₂×C₄	—	94	2	no	—
1221	C₂×C₄	—	94	2	no	—
1222	C₂×C₄	—	94	2	no	—
1223	C₂×C₄	—	188	2	no	—
1224	C₂×C₄	—	188	2	no	—
1225	C₂×C₄	—	188	2	no	—
1226	C₂×C₄	—	188	2	no	—
1227	C₂×C₄	—	188	2	no	—
1228	C₂×C₄	—	188	2	no	—
1229	C₂×C₄	—	188	2	no	—
1230	C₂×C₄	—	188	2	no	—
1231	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1232	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1233	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1234	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1235	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1236	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1237	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1238	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1239	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1240	C₂×C₄	#13094069	1	2	yes	—
1241	C₂×C₄	#13094070	1	2	yes	—
1242	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1243	C₈	—	2	1	no	—
1244	C₈	—	2	1	no	—
1245	C₈	—	2	1	no	—
1246	C₈	—	2	1	no	—
1247	C₈	—	2	1	no	—
1248	C₈	—	2	1	no	—
1249	C₈	—	2	1	no	—
1250	C₈	—	2	1	no	—
1251	C₈	—	94	2	no	—
1252	C₈	—	94	2	no	—
1253	C₈	—	94	2	no	—
1254	C₈	—	94	2	no	—
1255	C₂²	—	2	1	no	—
1256	C₂²	—	2	1	no	—
1257	C₂²	—	2	1	no	—
1258	C₂²	—	2	1	no	—
1259	C₂²	—	2	1	no	—
1260	C₂²	—	2	1	no	—
1261	C₂²	—	2	1	no	—
1262	C₂²	—	2	1	no	—
1263	C₂²	—	2	1	no	—
1264	C₂²	—	2	1	no	—
1265	C₂²	—	2	1	no	—
1266	C₂²	—	2	1	no	—
1267	C₂²	—	2	1	no	—
1268	C₂²	—	4	4	no	—
1269	C₂²	—	8	2	no	—
1270	C₂²	—	94	2	no	—
1271	C₂²	—	94	2	no	—
1272	C₂²	—	94	2	no	—
1273	C₂²	—	94	2	no	—
1274	C₂²	—	94	2	no	—
1275	C₂²	—	94	2	no	—
1276	C₂²	—	94	2	no	—
1277	C₂²	—	94	2	no	—
1278	C₂²	—	94	2	no	—
1279	C₂²	—	376	4	no	—
1280	C₂²	—	376	4	no	—
1281	C₂²	#15689595	1	2	yes	—
1282	C₂²	#15689889	1	2	yes	—
1283	C₂²	C₂³×C₄×D₄₇	1	1	yes	characteristic
1284	C₄	—	2	1	no	—
1285	C₄	—	2	1	no	—
1286	C₄	—	2	1	no	—
1287	C₄	—	2	1	no	—
1288	C₄	—	2	1	no	—
1289	C₄	—	2	1	no	—
1290	C₄	—	2	1	no	—
1291	C₄	—	2	1	no	—
1292	C₄	—	94	2	no	—
1293	C₄	—	94	2	no	—
1294	C₄	—	94	2	no	—
1295	C₄	—	94	2	no	—
1296	C₄	—	94	2	no	—
1297	C₄	#15689595	1	2	yes	—
1298	C₄	C₂×#13094069	1	1	yes	characteristic
1299	C₄	C₂×#13094070	1	1	yes	characteristic
1300	C₂	—	2	2	no	—
1301	C₂	—	2	2	no	—
1302	C₂	—	4	1	no	—
1303	C₂	—	4	1	no	—
1304	C₂	—	4	1	no	—
1305	C₂	—	188	2	no	—
1306	C₂	—	188	2	no	—
1307	C₂	—	188	2	no	—
1308	C₂	C₂×#15689595	1	1	yes	characteristic
1309	C₂	C₂×#15689889	1	1	yes	characteristic
1310	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	#60240
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
2. #20252460	C₂	semidirect
3. #20252456	C₂	semidirect
4. #20252447	C₂	semidirect
5. #20252439	C₂	semidirect
6. #20252437	C₂	semidirect
7. #20252435	C₂	semidirect
8. #20252418	C₂	semidirect
9. #20252413	C₂	semidirect
10. #20252131	C₂	semidirect
11. D₄×#10625329	C₂	semidirect
12. #20252109	C₂	semidirect
13. #20252109	C₂	semidirect
14. #20252107	C₂	semidirect
15. #20252091	C₂	semidirect
16. #20252082	C₂	semidirect
17. #20252053	C₂	semidirect
18. #20252037	C₂	semidirect
19. #20251834	C₂	semidirect
20. #20251834	C₂	semidirect
21. #20251832	C₂	semidirect
22. C₂×#15689089	C₂	semidirect
23. C₂×C₄₇×#435	C₂	semidirect
26. C₂×#13094030	C₂²	semidirect
27. C₂×#13094030	C₂²	semidirect
28. C₂×#13094030	C₂²	semidirect
29. C₂×#13094030	C₂²	semidirect
30. C₂²×#10625329	C₂²	semidirect
31. C₂²×#10625329	C₂²	semidirect
52. #15689201	C₂²	semidirect
53. #15689200	C₂²	semidirect
54. #15689199	C₂²	semidirect
55. #15689199	C₂²	semidirect
56. #15689198	C₂²	semidirect
57. #15689198	C₂²	semidirect
58. #15689197	C₂²	semidirect
59. #15689197	C₂²	semidirect
60. #15689196	C₂²	semidirect
61. #15689196	C₂²	semidirect
62. #15689196	C₂²	semidirect
63. #15689196	C₂²	semidirect
65. #15689195	C₂²	semidirect
66. #15689194	C₂²	semidirect
67. #15689194	C₂²	semidirect
68. #15689193	C₂²	semidirect
69. #15689193	C₂²	semidirect
70. #15689192	C₂²	semidirect
71. #15689192	C₂²	semidirect
72. #15689191	C₂²	semidirect
73. #15689191	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. #15689179	C₂²	semidirect
85. #15689178	C₂²	semidirect
86. #15689178	C₂²	semidirect
87. #15689175	C₂²	semidirect
88. #15689149	C₂²	semidirect
89. #15689149	C₂²	semidirect
90. #15689147	C₂²	semidirect
91. #15689091	C₂²	semidirect
92. #15689091	C₂²	semidirect
97. #15689089	C₂²	semidirect
98. #15689089	C₂²	semidirect
99. #15689089	C₂²	semidirect
100. #15689089	C₂²	semidirect
101. #15689089	C₂²	semidirect
102. #15689089	C₂²	semidirect
103. #15689088	C₂²	semidirect
104. #15689088	C₂²	semidirect
105. #15689088	C₂²	semidirect
106. #15689088	C₂²	semidirect
107. #15689087	C₂²	semidirect
108. #15689087	C₂²	semidirect
109. #15689086	C₂²	semidirect
110. #15689086	C₂²	semidirect
111. #15689085	C₂²	semidirect
112. #15689085	C₂²	semidirect
113. C₂×(C₂×D₄₇)⋊C₈	C₂²	semidirect
114. C₂×(C₂×D₄₇)⋊C₈	C₂²	semidirect
115. C₂²⋊C₈×D₄₇	C₂²	semidirect
116. C₂²⋊C₈×D₄₇	C₂²	semidirect
117. #15689078	C₂²	semidirect
118. #15689078	C₂²	semidirect
119. C₄×#10625329	C₂²	semidirect
120. C₂²×M₁₆×C₄₇	C₂²	semidirect
121. C₂³×C₈×C₄₇	C₂²	semidirect
125. C₄₇×#435	C₂²	semidirect
126. C₄₇×#435	C₂²	semidirect
127. C₄₇×#435	C₂²	semidirect
128. C₄₇×#435	C₂²	semidirect
129. C₄₇×#435	C₂²	semidirect
130. C₄₇×#435	C₂²	semidirect
131. C₂×C₄⋊C₈×C₄₇	C₂²	semidirect
132. C₂×C₂²⋊C₈×C₄₇	C₂²	semidirect
133. C₂×C₂²⋊C₈×C₄₇	C₂²	semidirect
134. C₂×#97×C₄₇	C₂²	semidirect
661. C₂×#435	D₄₇	semidirect
687. C₂²×M₁₆	C₂×D₄₇	semidirect
688. C₂³×C₈	C₂×D₄₇	semidirect
734. #435	C₂×D₄₇	semidirect
735. #435	C₂×D₄₇	semidirect
736. #435	C₂×D₄₇	semidirect
737. #435	C₂×D₄₇	semidirect
738. #435	C₂×D₄₇	semidirect
739. #435	C₂×D₄₇	semidirect
757. C₂×C₄⋊C₈	C₂×D₄₇	semidirect
784. C₂×C₂²⋊C₈	C₂×D₄₇	semidirect
785. C₂×C₂²⋊C₈	C₂×D₄₇	semidirect
789. C₂×#97	C₂×D₄₇	semidirect
790. C₄₇	#60240	semidirect

Maximal subgroups

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

subgroup	index
D₄×#10625350	2
#20252460	2
#20252456	2
#20252447	2
#20252439	2
#20252437	2
#20252435	2
#20252418	2
#20252413	2
#20252131	2
D₄×#10625329	2
#20252109	2
#20252107	2
#20252091	2
#20252082	2
#20252053	2
#20252037	2
#20251834	2
#20251832	2
C₂×#15689089	2
C₂×C₄₇×#435	2
#60240	47