Subgroups — #26384807

Order 12032.

2540 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689656	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×#10625352	C₂	1	1	yes	maximal, characteristic, complemented
3	#20247608	C₂	1	1	yes	maximal, characteristic, complemented
4	#20247600	C₂	1	1	yes	maximal, characteristic, complemented
5	#20247490	C₂	1	1	yes	maximal, characteristic, complemented
6	#20247482	C₂	1	1	yes	maximal, characteristic, complemented
7	#20247424	C₂	1	1	yes	maximal, characteristic, complemented
8	#20247270	C₂	1	1	yes	maximal, characteristic, complemented
9	#20247265	C₂	1	1	yes	maximal, characteristic, complemented
10	#20247248	C₂	1	1	yes	maximal, characteristic, complemented
11	#20247174	C₂	1	1	yes	maximal, characteristic, complemented
12	#20247096	C₂	1	1	yes	maximal, characteristic, complemented
13	#20247011	C₂	1	1	yes	maximal, characteristic, complemented
14	#20246986	C₂	1	1	yes	maximal, characteristic, complemented
15	#20246901	C₂	1	1	yes	maximal, characteristic, complemented
16	#20246812	C₂	1	1	yes	maximal, characteristic, complemented
17	#20246728	C₂	1	1	yes	maximal, characteristic
18	#20246650	C₂	1	1	yes	maximal, characteristic, complemented
19	#20246644	C₂	1	1	yes	maximal, characteristic, complemented
20	#20246633	C₂	1	1	yes	maximal, characteristic, complemented
21	#20246631	C₂	1	1	yes	maximal, characteristic, complemented
22	#20245959	C₂	1	1	yes	maximal, characteristic, complemented
23	#20245922	C₂	1	1	yes	maximal, characteristic, complemented
24	#20245920	C₂	1	1	yes	maximal, characteristic, complemented
25	#20245909	C₂	1	1	yes	maximal, characteristic, complemented
26	#20245905	C₂	1	1	yes	maximal, characteristic, complemented
27	#20245869	C₂	1	1	yes	maximal, characteristic, complemented
28	#20245867	C₂	1	1	yes	maximal, characteristic, complemented
29	#20245848	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×(C₂²⋊D₄₇)⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#2466	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#10625352	C₂²	1	1	yes	characteristic
33	C₂×#13094023	C₂²	1	1	yes	characteristic
34	#15689656	—	2	8	no	—
35	C₂×#13094018	C₂²	1	1	yes	characteristic
36	C₂×#13094014	C₂²	1	1	yes	characteristic
37	C₂×#13094010	C₂²	1	1	yes	characteristic
38	C₂×#13094009	C₂²	1	1	yes	characteristic
39	C₂×#13094009	C₂²	1	1	yes	characteristic
40	C₂×#13094007	C₂²	1	1	yes	characteristic
41	C₂×#13094006	C₂²	1	1	yes	characteristic
42	C₂×#13094002	C₂²	1	1	yes	characteristic
43	C₂×#13094002	C₂²	1	1	yes	characteristic
44	C₂×#13094001	C₂²	1	1	yes	characteristic
45	C₂×#13093997	C₂²	1	1	yes	characteristic
46	C₄×#10625352	—	2	8	no	—
47	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic
48	C₂×#13093989	C₂²	1	1	yes	characteristic
49	C₂×#13093989	C₂²	1	1	yes	characteristic
50	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic
51	C₂×#13093986	C₂²	1	1	yes	characteristic
52	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
53	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
54	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
55	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
56	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
57	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
58	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
59	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
60	C₂×#13093982	C₂²	1	1	yes	characteristic
61	C₂×#13093982	C₂²	1	1	yes	characteristic
62	C₂×#13093982	C₂²	1	1	yes	characteristic
63	C₂×#13093980	C₂²	1	1	yes	characteristic
64	C₂×#13093980	C₂²	1	1	yes	characteristic
65	C₂×#13093980	C₂²	1	1	yes	characteristic
66	C₂×#13093980	C₂²	1	1	yes	characteristic
67	C₂²×C₄×Dic₄₇	C₂²	1	1	yes	characteristic
68	C₂²×C₄×Dic₄₇	C₂²	1	1	yes	characteristic
69	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
70	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
71	#15689065	C₂²	1	1	yes	characteristic
72	#15689063	C₂²	1	1	yes	characteristic
73	#15689059	C₂²	1	1	yes	characteristic
74	#15689059	C₂²	1	1	yes	characteristic
75	#15689057	C₂²	1	1	yes	characteristic
76	#15689056	C₂²	1	1	yes	characteristic
77	#15689056	C₂²	1	1	yes	characteristic
78	#15689054	C₂²	1	1	yes	characteristic
79	#15689052	C₂²	1	1	yes	characteristic
80	#15689052	C₂²	1	1	yes	characteristic
81	#15689052	C₂²	1	1	yes	characteristic
82	#15689051	C₂²	1	1	yes	characteristic
83	#15689051	C₂²	1	1	yes	characteristic
84	#15689051	C₂²	1	1	yes	characteristic
85	#15689048	C₂²	1	1	yes	characteristic
86	#15689046	C₂²	1	1	yes	characteristic
87	#15689045	C₂²	1	1	yes	characteristic
88	#15689045	C₂²	1	1	yes	characteristic
89	#15689040	C₂²	1	1	yes	characteristic
90	#15689039	C₂²	1	1	yes	characteristic
91	#15689039	C₂²	1	1	yes	characteristic
92	#15689039	C₂²	1	1	yes	characteristic
93	#15689038	C₂²	1	1	yes	characteristic
94	#15689038	C₂²	1	1	yes	characteristic
95	#15689038	C₂²	1	1	yes	characteristic
96	#15689037	C₂²	1	1	yes	characteristic
97	#15689032	C₂²	1	1	yes	characteristic
98	#15689031	C₂²	1	1	yes	characteristic
99	#15689027	C₂²	1	1	yes	characteristic
100	#15689027	C₂²	1	1	yes	characteristic
101	#15689027	C₂²	1	1	yes	characteristic
102	#15689027	C₂²	1	1	yes	characteristic
103	#15689023	C₂²	1	1	yes	characteristic
104	#15689023	C₂²	1	1	yes	characteristic
105	#15689022	C₂²	1	1	yes	characteristic
106	#15689021	C₂²	1	1	yes	characteristic
107	#15689021	C₂²	1	1	yes	characteristic
108	#15689020	C₂²	1	1	yes	characteristic
109	#15689020	C₂²	1	1	yes	characteristic
110	#15689020	C₂²	1	1	yes	characteristic
111	#15689020	C₂²	1	1	yes	characteristic
112	#15689019	C₂²	1	1	yes	characteristic
113	#15689018	C₂²	1	1	yes	characteristic
114	#15689018	C₂²	1	1	yes	characteristic
115	#15689018	C₂²	1	1	yes	characteristic
116	#15689018	C₂²	1	1	yes	characteristic
117	#15689018	C₂²	1	1	yes	characteristic
118	#15689018	C₂²	1	1	yes	characteristic
119	#15689016	C₂²	1	1	yes	characteristic
120	#15689015	C₂²	1	1	yes	characteristic
121	#15689014	C₂²	1	1	yes	characteristic
122	#15689014	C₂²	1	1	yes	characteristic
123	#15689012	C₂²	1	1	yes	characteristic
124	#15689012	C₂²	1	1	yes	characteristic
125	#15689012	C₂²	1	1	yes	characteristic
126	#15689008	C₂²	1	1	yes	characteristic
127	#15689007	C₂²	1	1	yes	characteristic
128	#15689005	C₂²	1	1	yes	characteristic
129	#15689005	C₂²	1	1	yes	characteristic
130	#15689004	C₂²	1	1	yes	characteristic
131	#15689004	C₂²	1	1	yes	characteristic
132	#15689001	C₂²	1	1	yes	characteristic
133	#15689000	C₂²	1	1	yes	characteristic
134	#15688998	C₂²	1	1	yes	characteristic
135	#15688997	C₂²	1	1	yes	characteristic
136	#15688997	C₂²	1	1	yes	characteristic
137	#15688997	C₂²	1	1	yes	characteristic
138	#15688997	C₂²	1	1	yes	characteristic
139	#15688996	C₂²	1	1	yes	characteristic
140	#15688996	C₂²	1	1	yes	characteristic
141	#15688995	C₂²	1	1	yes	characteristic
142	#15688995	C₂²	1	1	yes	characteristic
143	#15688994	C₂²	1	1	yes	characteristic
144	#15688994	C₂²	1	1	yes	characteristic
145	#15688994	C₂²	1	1	yes	characteristic
146	#15688992	C₂²	1	1	yes	characteristic
147	#15688985	C₂²	1	1	yes	characteristic
148	#15688982	C₂²	1	1	yes	characteristic
149	#15688981	C₂²	1	1	yes	characteristic
150	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
151	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
152	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
153	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
154	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
155	#15688974	C₂²	1	1	yes	characteristic
156	#15688974	C₂²	1	1	yes	characteristic
157	#15688974	C₂²	1	1	yes	characteristic
158	#15688974	C₂²	1	1	yes	characteristic
159	#15688974	C₂²	1	1	yes	characteristic
160	#15688974	C₂²	1	1	yes	characteristic
161	#15688974	C₂²	1	1	yes	characteristic
162	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
163	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
164	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
165	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
166	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
167	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
168	#15688970	C₂²	1	1	yes	characteristic
169	#15688970	C₂²	1	1	yes	characteristic
170	#15688970	C₂²	1	1	yes	characteristic
171	#15688970	C₂²	1	1	yes	characteristic
172	#15688970	C₂²	1	1	yes	characteristic
173	C₄²×Dic₄₇	C₂²	1	1	yes	characteristic
174	C₂×#126×C₄₇	C₂²	1	1	yes	characteristic
175	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
176	C₄₇×#397	C₂²	1	1	yes	characteristic
177	C₄₇×#396	C₂²	1	1	yes	characteristic
178	C₄₇×#394	C₂²	1	1	yes	characteristic
179	C₄₇×#394	C₂²	1	1	yes	characteristic
180	C₄₇×#389	C₂²	1	1	yes	characteristic
181	C₄₇×#389	C₂²	1	1	yes	characteristic
182	C₄₇×#388	C₂²	1	1	yes	characteristic
183	C₄₇×#387	C₂²	1	1	yes	characteristic
184	C₄₇×#387	C₂²	1	1	yes	characteristic
185	C₄₇×#385	C₂²	1	1	yes	characteristic
186	C₄₇×#385	C₂²	1	1	yes	characteristic
187	C₄₇×#381	C₂²	1	1	yes	characteristic
188	C₄×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
189	C₂×#10625352	—	2	4	no	—
190	C₂×#10625352	—	2	4	no	—
191	C₂×#10625352	—	2	4	no	—
192	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
193	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
194	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
197	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
198	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
199	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
200	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
201	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
202	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
209	#13094023	—	2	4	no	—
210	#13094018	—	2	4	no	—
211	#13094014	—	2	4	no	—
212	#13094010	—	2	4	no	—
213	#13094009	—	2	4	no	—
214	#13094009	—	2	4	no	—
215	#13094007	—	2	4	no	—
216	#13094006	—	2	4	no	—
217	#13094002	—	2	4	no	—
218	#13094002	—	2	4	no	—
219	#13094001	—	2	4	no	—
220	#13093997	—	2	4	no	—
221	C₄×Dic₉₄	—	2	4	no	—
222	#13093989	—	2	4	no	—
223	#13093989	—	2	4	no	—
224	D₄×Dic₄₇	—	2	4	no	—
225	#13093986	—	2	4	no	—
226	C₄×C₂²⋊D₄₇	—	2	4	no	—
227	C₄×C₂²⋊D₄₇	—	2	4	no	—
228	C₄×C₂²⋊D₄₇	—	2	4	no	—
229	(C₂²⋊D₄₇)⋊C₄	—	2	4	no	—
230	(C₂²⋊D₄₇)⋊C₄	—	2	4	no	—
231	(C₂²⋊D₄₇)⋊C₄	—	2	4	no	—
232	(C₂²⋊D₄₇)⋊C₄	—	2	4	no	—
233	(C₂²⋊D₄₇)⋊C₄	D₄	1	8	yes	complemented
234	#13093982	—	2	4	no	—
235	#13093982	—	2	4	no	—
236	#13093982	—	2	4	no	—
237	#13093980	—	2	4	no	—
238	#13093980	—	2	4	no	—
239	#13093980	—	2	4	no	—
240	#13093980	—	2	4	no	—
241	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
248	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
280	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₄₇	—	2	4	no	—
299	C₂×C₄×Dic₄₇	—	2	4	no	—
300	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
319	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
320	C₄²×D₄₇	—	2	4	no	—
321	C₄²×D₄₇	—	2	4	no	—
322	C₄₇⋊#95	C₂³	1	1	yes	characteristic
323	C₄₇⋊#95	C₂³	1	1	yes	characteristic
324	C₄₇⋊#95	C₂³	1	1	yes	characteristic
325	C₄₇⋊#95	C₂³	1	1	yes	characteristic
326	C₄₇⋊#95	C₂³	1	1	yes	characteristic
327	C₄₇⋊#95	C₂³	1	1	yes	characteristic
328	C₄₇⋊#95	C₂³	1	1	yes	characteristic
329	C₄₇⋊#95	C₂³	1	1	yes	characteristic
330	C₄₇⋊#95	C₂³	1	1	yes	characteristic
331	C₄₇⋊#95	C₂³	1	1	yes	characteristic
332	C₄₇⋊#95	C₂³	1	1	yes	characteristic
333	C₄₇⋊#95	C₂³	1	1	yes	characteristic
334	C₄₇⋊#95	C₂³	1	1	yes	characteristic
335	C₄₇⋊#95	C₂³	1	1	yes	characteristic
336	C₄₇⋊#95	C₂³	1	1	yes	characteristic
337	C₄₇⋊#95	C₂³	1	1	yes	characteristic
338	C₄₇⋊#95	C₂³	1	1	yes	characteristic
339	C₄₇⋊#95	C₂³	1	1	yes	characteristic
340	C₄₇⋊#95	C₂³	1	1	yes	characteristic
341	C₄₇⋊#95	C₂³	1	1	yes	characteristic
342	C₄₇⋊#95	C₂³	1	1	yes	characteristic
343	C₄₇⋊#95	C₂³	1	1	yes	characteristic
344	C₄₇⋊#95	C₂³	1	1	yes	characteristic
345	C₄₇⋊#95	C₂³	1	1	yes	characteristic
346	C₄₇⋊#95	C₂³	1	1	yes	characteristic
347	C₄₇⋊#95	C₂³	1	1	yes	characteristic
348	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
349	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
350	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
351	#126×C₄₇	—	2	4	no	—
352	C₄×D₄×C₄₇	—	2	4	no	—
353	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
354	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
355	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
356	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
357	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
358	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
359	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
360	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
361	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
362	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
363	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
364	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
365	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
366	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
368	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
370	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
371	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
372	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
373	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
374	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
375	#95×C₄₇	C₂³	1	1	yes	characteristic
376	#95×C₄₇	C₂³	1	1	yes	characteristic
377	#95×C₄₇	C₂³	1	1	yes	characteristic
378	#95×C₄₇	C₂³	1	1	yes	characteristic
379	#95×C₄₇	C₂³	1	1	yes	characteristic
380	#95×C₄₇	C₂³	1	1	yes	characteristic
381	#95×C₄₇	C₂³	1	1	yes	characteristic
382	#95×C₄₇	C₂³	1	1	yes	characteristic
383	#95×C₄₇	C₂³	1	1	yes	characteristic
384	#95×C₄₇	C₂³	1	1	yes	characteristic
385	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
387	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
388	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
389	C₂×D₄×C₄₇	—	2	2	no	—
390	C₂×D₄×C₄₇	—	2	2	no	—
391	C₂×D₄×C₄₇	—	2	2	no	—
392	C₂²×C₄×C₄₇	—	2	2	no	—
393	C₂²×C₄×C₄₇	—	2	2	no	—
394	C₂²×C₄×C₄₇	—	2	2	no	—
395	C₂²×C₄×C₄₇	—	2	2	no	—
396	C₂²×C₄×C₄₇	—	4	1	no	—
397	C₂²×C₄×C₄₇	—	4	1	no	—
398	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
411	C₂×C₂²⋊D₄₇	—	2	2	no	—
412	C₂×C₂²⋊D₄₇	—	2	2	no	—
413	C₂×C₂²⋊D₄₇	—	2	2	no	—
414	C₂×C₂²⋊D₄₇	—	2	2	no	—
415	C₂×C₂²⋊D₄₇	—	2	2	no	—
416	C₂×C₂²⋊D₄₇	—	2	2	no	—
417	C₂×C₂²⋊D₄₇	—	2	2	no	—
418	C₂×C₂²⋊D₄₇	—	2	2	no	—
419	C₂×C₂²⋊D₄₇	—	2	2	no	—
420	C₂×C₂²⋊D₄₇	—	2	2	no	—
421	C₂×C₂²⋊D₄₇	—	4	1	no	—
422	C₂×C₂²⋊D₄₇	C₂×D₄	1	4	yes	—
423	C₂²×Dic₄₇	—	2	2	no	—
424	C₂²×Dic₄₇	—	2	2	no	—
425	C₂²×Dic₄₇	—	2	2	no	—
426	C₂²×Dic₄₇	—	2	2	no	—
427	C₂²×Dic₄₇	—	2	2	no	—
428	C₂²×Dic₄₇	—	2	2	no	—
429	C₂²×Dic₄₇	—	2	2	no	—
430	C₂²×Dic₄₇	—	2	2	no	—
431	C₂²×Dic₄₇	—	2	2	no	—
432	C₂²×Dic₄₇	—	2	2	no	—
433	C₂²×Dic₄₇	C₂×D₄	1	4	yes	—
434	C₂²×Dic₄₇	#41	1	4	yes	—
435	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
449	#10625352	—	2	32	no	—
450	C₂×D₁₈₈	—	2	2	no	—
451	C₂×D₁₈₈	—	2	2	no	—
452	C₂×D₁₈₈	—	4	1	no	—
453	C₂×C₄×D₄₇	—	2	2	no	—
454	C₂×C₄×D₄₇	—	2	2	no	—
455	C₂×C₄×D₄₇	—	2	2	no	—
456	C₂×C₄×D₄₇	—	2	2	no	—
457	C₂×C₄×D₄₇	—	2	2	no	—
458	C₂×C₄×D₄₇	—	2	2	no	—
459	C₂×C₄×D₄₇	—	2	2	no	—
460	C₂×C₄×D₄₇	—	2	2	no	—
461	C₂×C₄×D₄₇	—	2	2	no	—
462	C₂×C₄×D₄₇	—	2	2	no	—
463	C₂×C₄×D₄₇	—	2	2	no	—
464	C₂×C₄×D₄₇	—	2	2	no	—
465	C₂×C₄×D₄₇	—	2	2	no	—
466	C₂×C₄×D₄₇	—	2	2	no	—
467	C₂×C₄×D₄₇	—	2	2	no	—
468	C₂×C₄×D₄₇	—	4	1	no	—
469	C₂×C₄×D₄₇	—	4	1	no	—
470	C₂×C₄×D₄₇	C₂×D₄	1	4	yes	—
471	C₂×Dic₉₄	—	2	2	no	—
472	C₂×Dic₉₄	—	2	2	no	—
473	C₂×Dic₉₄	—	2	2	no	—
474	C₂×Dic₉₄	—	2	2	no	—
475	C₂×Dic₉₄	—	2	2	no	—
476	C₂×Dic₉₄	#41	1	4	yes	—
477	C₄⋊C₄×C₄₇	—	2	2	no	—
478	C₄⋊C₄×C₄₇	—	2	2	no	—
479	C₄⋊C₄×C₄₇	—	2	2	no	—
480	C₄⋊C₄×C₄₇	—	2	2	no	—
481	C₄⋊C₄×C₄₇	—	2	2	no	—
482	C₄⋊C₄×C₄₇	—	2	2	no	—
483	C₄⋊C₄×C₄₇	—	2	2	no	—
484	C₄⋊C₄×C₄₇	—	2	2	no	—
485	C₄⋊C₄×C₄₇	—	4	1	no	—
486	C₂²⋊C₄×C₄₇	—	2	2	no	—
487	C₂²⋊C₄×C₄₇	—	2	2	no	—
488	C₂²⋊C₄×C₄₇	—	2	2	no	—
489	C₂²⋊C₄×C₄₇	—	2	2	no	—
490	C₂²⋊C₄×C₄₇	—	2	2	no	—
491	C₂²⋊C₄×C₄₇	—	2	2	no	—
492	C₂²⋊C₄×C₄₇	—	2	2	no	—
493	C₂²⋊C₄×C₄₇	—	4	1	no	—
494	C₂²⋊C₄×C₄₇	—	4	1	no	—
495	C₂²⋊C₄×C₄₇	C₂×D₄	1	4	yes	—
496	C₄²×C₄₇	—	2	2	no	—
497	C₄²×C₄₇	—	2	2	no	—
498	C₄²×C₄₇	—	4	1	no	—
499	C₂²⋊Dic₄₇	—	2	2	no	—
500	C₂²⋊Dic₄₇	—	2	2	no	—
501	C₂²⋊Dic₄₇	—	2	2	no	—
502	C₂²⋊Dic₄₇	—	2	2	no	—
503	C₂²⋊Dic₄₇	—	2	2	no	—
504	C₂²⋊Dic₄₇	—	2	2	no	—
505	C₂²⋊Dic₄₇	—	2	2	no	—
506	C₂²⋊Dic₄₇	—	4	1	no	—
507	(C₂×D₄₇)⋊C₄	—	2	2	no	—
508	(C₂×D₄₇)⋊C₄	—	2	2	no	—
509	(C₂×D₄₇)⋊C₄	—	2	2	no	—
510	(C₂×D₄₇)⋊C₄	—	2	2	no	—
511	(C₂×D₄₇)⋊C₄	—	2	2	no	—
512	(C₂×D₄₇)⋊C₄	—	2	2	no	—
513	(C₂×D₄₇)⋊C₄	—	2	2	no	—
514	(C₂×D₄₇)⋊C₄	—	2	2	no	—
515	(C₂×D₄₇)⋊C₄	—	2	2	no	—
516	(C₂×D₄₇)⋊C₄	—	2	2	no	—
517	(C₂×D₄₇)⋊C₄	—	2	2	no	—
518	(C₂×D₄₇)⋊C₄	—	2	2	no	—
519	(C₂×D₄₇)⋊C₄	—	2	2	no	—
520	(C₂×D₄₇)⋊C₄	—	2	2	no	—
521	(C₂×D₄₇)⋊C₄	—	2	2	no	—
522	(C₂×D₄₇)⋊C₄	—	4	1	no	—
523	(C₂×D₄₇)⋊C₄	C₂×D₄	1	4	yes	—
524	(C₂×D₄₇)⋊C₄	#41	1	4	yes	complemented
525	C₄⋊Dic₄₇	—	2	2	no	—
526	C₄⋊Dic₄₇	—	2	2	no	—
527	C₄⋊Dic₄₇	—	2	2	no	—
528	C₄⋊Dic₄₇	—	2	2	no	—
529	C₄⋊Dic₄₇	—	2	2	no	—
530	C₄⋊Dic₄₇	—	4	1	no	—
531	C₄⋊Dic₄₇	—	4	1	no	—
532	Dic₄₇⋊C₄	—	2	2	no	—
533	Dic₄₇⋊C₄	—	2	2	no	—
534	Dic₄₇⋊C₄	—	2	2	no	—
535	Dic₄₇⋊C₄	—	2	2	no	—
536	Dic₄₇⋊C₄	—	2	2	no	—
537	Dic₄₇⋊C₄	—	2	2	no	—
538	Dic₄₇⋊C₄	—	2	2	no	—
539	Dic₄₇⋊C₄	—	2	2	no	—
540	Dic₄₇⋊C₄	—	2	2	no	—
541	Dic₄₇⋊C₄	—	2	2	no	—
542	Dic₄₇⋊C₄	—	2	2	no	—
543	Dic₄₇⋊C₄	—	2	2	no	—
544	Dic₄₇⋊C₄	—	2	2	no	—
545	Dic₄₇⋊C₄	—	2	2	no	—
546	Dic₄₇⋊C₄	—	2	2	no	—
547	Dic₄₇⋊C₄	—	2	2	no	—
548	Dic₄₇⋊C₄	—	2	2	no	—
549	Dic₄₇⋊C₄	—	2	2	no	—
550	Dic₄₇⋊C₄	—	2	2	no	—
551	Dic₄₇⋊C₄	—	2	2	no	—
552	Dic₄₇⋊C₄	—	2	2	no	—
553	Dic₄₇⋊C₄	—	2	2	no	—
554	Dic₄₇⋊C₄	—	4	1	no	—
555	Dic₄₇⋊C₄	C₂×D₄	1	4	yes	—
556	C₄×Dic₄₇	—	2	2	no	—
557	C₄×Dic₄₇	—	2	2	no	—
558	C₄×Dic₄₇	—	2	2	no	—
559	C₄×Dic₄₇	—	2	2	no	—
560	C₄×Dic₄₇	—	2	2	no	—
561	C₄×Dic₄₇	—	2	2	no	—
562	C₄×Dic₄₇	—	2	2	no	—
563	C₄×Dic₄₇	—	2	2	no	—
564	C₄×Dic₄₇	—	2	2	no	—
565	C₄×Dic₄₇	—	2	2	no	—
566	C₄×Dic₄₇	—	2	2	no	—
567	C₄×Dic₄₇	—	2	2	no	—
568	C₄×Dic₄₇	—	2	2	no	—
569	C₄×Dic₄₇	—	2	2	no	—
570	C₄×Dic₄₇	—	2	2	no	—
571	C₄×Dic₄₇	—	2	2	no	—
572	C₄×Dic₄₇	—	2	2	no	—
573	C₄×Dic₄₇	—	2	2	no	—
574	C₄×Dic₄₇	C₂×D₄	1	4	yes	—
575	C₄×Dic₄₇	#41	1	4	yes	complemented
576	C₂³×C₄₇	—	2	1	no	—
577	C₂³×C₄₇	—	2	1	no	—
578	C₂³×C₄₇	—	2	1	no	—
579	C₂³×C₄₇	—	2	1	no	—
580	C₂³×C₄₇	—	2	1	no	—
581	C₂³×C₄₇	—	2	1	no	—
582	C₂³×C₄₇	—	2	1	no	—
583	C₂³×C₄₇	—	2	1	no	—
584	C₂³×C₄₇	—	2	1	no	—
585	C₂³×C₄₇	—	2	1	no	—
586	C₂³×C₄₇	—	2	1	no	—
587	C₂³×C₄₇	—	2	1	no	—
588	C₂³×C₄₇	C₂²×D₄	1	2	yes	—
589	C₂³×C₄₇	C₂×#41	1	2	yes	—
590	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
591	C₂²×D₄₇	—	2	1	no	—
592	C₂²×D₄₇	—	2	1	no	—
593	C₂²×D₄₇	—	2	1	no	—
594	C₂²×D₄₇	—	2	1	no	—
595	C₂²×D₄₇	—	2	1	no	—
596	C₂²×D₄₇	—	2	1	no	—
597	C₂²×D₄₇	—	2	1	no	—
598	C₂²×D₄₇	—	2	1	no	—
599	C₂²×D₄₇	—	2	1	no	—
600	C₂²×D₄₇	—	2	1	no	—
601	C₂²×D₄₇	—	2	1	no	—
602	C₂²×D₄₇	—	2	1	no	—
603	C₂²×D₄₇	C₂²×D₄	1	2	yes	—
604	C₂²×D₄₇	C₂×#41	1	2	yes	—
605	D₄×C₄₇	—	2	8	no	—
606	C₂×C₄×C₄₇	—	2	1	no	—
607	C₂×C₄×C₄₇	—	2	1	no	—
608	C₂×C₄×C₄₇	—	2	1	no	—
609	C₂×C₄×C₄₇	—	2	1	no	—
610	C₂×C₄×C₄₇	—	2	1	no	—
611	C₂×C₄×C₄₇	—	2	1	no	—
612	C₂×C₄×C₄₇	—	2	1	no	—
613	C₂×C₄×C₄₇	—	2	1	no	—
614	C₂×C₄×C₄₇	—	2	1	no	—
615	C₂×C₄×C₄₇	—	2	1	no	—
616	C₂×C₄×C₄₇	—	2	1	no	—
617	C₂×C₄×C₄₇	—	2	1	no	—
618	C₂×C₄×C₄₇	—	2	1	no	—
619	C₂×C₄×C₄₇	—	2	1	no	—
620	C₂×C₄×C₄₇	—	2	1	no	—
621	C₂×C₄×C₄₇	—	2	1	no	—
622	C₂×C₄×C₄₇	—	2	1	no	—
623	C₂×C₄×C₄₇	—	2	1	no	—
624	C₂×C₄×C₄₇	—	2	1	no	—
625	C₂×C₄×C₄₇	—	2	1	no	—
626	C₂×C₄×C₄₇	—	2	1	no	—
627	C₂×C₄×C₄₇	—	2	1	no	—
628	C₂×C₄×C₄₇	—	2	1	no	—
629	C₂×C₄×C₄₇	—	2	1	no	—
630	C₂×C₄×C₄₇	—	2	1	no	—
631	C₂×C₄×C₄₇	—	2	1	no	—
632	C₂×C₄×C₄₇	—	2	1	no	—
633	C₂×C₄×C₄₇	—	2	1	no	—
634	C₂×C₄×C₄₇	—	2	1	no	—
635	C₂×C₄×C₄₇	—	2	1	no	—
636	C₂×C₄×C₄₇	—	2	1	no	—
637	C₂×C₄×C₄₇	—	2	1	no	—
638	C₂×C₄×C₄₇	—	2	1	no	—
639	C₂×C₄×C₄₇	—	2	1	no	—
640	C₂×C₄×C₄₇	—	4	4	no	—
641	C₂×C₄×C₄₇	—	4	4	no	—
642	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
643	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
644	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
645	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
646	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
647	C₂²⋊D₄₇	—	2	8	no	—
648	C₂²⋊D₄₇	—	2	8	no	—
649	C₂²⋊D₄₇	—	2	8	no	—
650	C₂²⋊D₄₇	—	4	4	no	—
651	C₂×Dic₄₇	—	2	8	no	—
652	C₂×Dic₄₇	—	2	1	no	—
653	C₂×Dic₄₇	—	2	1	no	—
654	C₂×Dic₄₇	—	2	1	no	—
655	C₂×Dic₄₇	—	2	1	no	—
656	C₂×Dic₄₇	—	2	1	no	—
657	C₂×Dic₄₇	—	2	1	no	—
658	C₂×Dic₄₇	—	2	1	no	—
659	C₂×Dic₄₇	—	2	1	no	—
660	C₂×Dic₄₇	—	2	1	no	—
661	C₂×Dic₄₇	—	2	1	no	—
662	C₂×Dic₄₇	—	2	8	no	—
663	C₂×Dic₄₇	—	2	8	no	—
664	C₂×Dic₄₇	—	2	1	no	—
665	C₂×Dic₄₇	—	2	1	no	—
666	C₂×Dic₄₇	—	2	1	no	—
667	C₂×Dic₄₇	—	2	1	no	—
668	C₂×Dic₄₇	—	2	1	no	—
669	C₂×Dic₄₇	—	2	1	no	—
670	C₂×Dic₄₇	—	2	1	no	—
671	C₂×Dic₄₇	—	2	1	no	—
672	C₂×Dic₄₇	—	2	1	no	—
673	C₂×Dic₄₇	—	2	1	no	—
674	C₂×Dic₄₇	—	2	1	no	—
675	C₂×Dic₄₇	—	2	1	no	—
676	C₂×Dic₄₇	—	2	1	no	—
677	C₂×Dic₄₇	—	2	1	no	—
678	C₂×Dic₄₇	—	2	1	no	—
679	C₂×Dic₄₇	—	2	1	no	—
680	C₂×Dic₄₇	—	2	1	no	—
681	C₂×Dic₄₇	—	2	1	no	—
682	C₂×Dic₄₇	—	2	1	no	—
683	C₂×Dic₄₇	—	2	1	no	—
684	C₂×Dic₄₇	—	2	1	no	—
685	C₂×Dic₄₇	—	4	4	no	—
686	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
687	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
688	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
689	C₂×Dic₄₇	C₂×#41	1	2	yes	—
690	C₂×Dic₄₇	C₂×#41	1	2	yes	—
691	C₂×Dic₄₇	C₂×#41	1	2	yes	—
692	C₂×Dic₄₇	C₂×#41	1	2	yes	—
693	C₂×Dic₄₇	C₂×#41	1	2	yes	—
694	C₂×Dic₄₇	C₂×#41	1	2	yes	—
695	C₂×Dic₄₇	C₂×#41	1	2	yes	—
696	C₂×Dic₄₇	2₋¹⁺⁴	1	2	yes	—
697	D₁₈₈	—	4	4	no	—
698	C₄×D₄₇	—	2	8	no	—
699	C₄×D₄₇	—	2	8	no	—
700	C₄×D₄₇	—	4	4	no	—
701	C₄×D₄₇	—	4	4	no	—
702	C₄×D₄₇	—	4	4	no	—
703	C₄×D₄₇	—	4	4	no	—
704	Dic₉₄	—	2	8	no	—
705	Dic₉₄	—	4	4	no	—
706	#34724	—	47	1	no	maximal, Sylow
707	C₂²×C₄₇	—	2	2	no	—
708	C₂²×C₄₇	—	2	2	no	—
709	C₂²×C₄₇	—	2	2	no	—
710	C₂²×C₄₇	—	2	2	no	—
711	C₂²×C₄₇	—	2	2	no	—
712	C₂²×C₄₇	—	2	2	no	—
713	C₂²×C₄₇	—	4	1	no	—
714	C₂²×C₄₇	—	4	1	no	—
715	C₂²×C₄₇	—	4	1	no	—
716	C₂²×C₄₇	—	4	1	no	—
717	C₂²×C₄₇	—	4	1	no	—
718	C₂²×C₄₇	—	4	1	no	—
719	C₂²×C₄₇	—	4	1	no	—
720	C₂²×C₄₇	—	4	1	no	—
721	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
722	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
723	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
724	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
725	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
726	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
727	C₂²×C₄₇	#585	1	1	yes	characteristic
728	C₂×D₄₇	—	2	2	no	—
729	C₂×D₄₇	—	2	2	no	—
730	C₂×D₄₇	—	2	2	no	—
731	C₂×D₄₇	—	2	2	no	—
732	C₂×D₄₇	—	2	2	no	—
733	C₂×D₄₇	—	2	2	no	—
734	C₂×D₄₇	—	4	1	no	—
735	C₂×D₄₇	—	4	1	no	—
736	C₂×D₄₇	—	4	1	no	—
737	C₂×D₄₇	—	4	1	no	—
738	C₂×D₄₇	—	4	1	no	—
739	C₂×D₄₇	—	4	1	no	—
740	C₂×D₄₇	—	4	1	no	—
741	C₂×D₄₇	—	4	1	no	—
742	C₄×C₄₇	—	2	2	no	—
743	C₄×C₄₇	—	2	2	no	—
744	C₄×C₄₇	—	2	2	no	—
745	C₄×C₄₇	—	2	2	no	—
746	C₄×C₄₇	—	2	2	no	—
747	C₄×C₄₇	—	4	1	no	—
748	C₄×C₄₇	—	4	1	no	—
749	C₄×C₄₇	—	4	1	no	—
750	C₄×C₄₇	—	4	1	no	—
751	C₄×C₄₇	—	4	1	no	—
752	C₄×C₄₇	—	4	1	no	—
753	C₄×C₄₇	—	4	1	no	—
754	C₄×C₄₇	—	4	1	no	—
755	Dic₄₇	—	2	2	no	—
756	Dic₄₇	—	2	2	no	—
757	Dic₄₇	—	2	2	no	—
758	Dic₄₇	—	2	2	no	—
759	Dic₄₇	—	2	2	no	—
760	Dic₄₇	—	4	1	no	—
761	Dic₄₇	—	4	1	no	—
762	Dic₄₇	—	4	1	no	—
763	Dic₄₇	—	4	1	no	—
764	Dic₄₇	—	4	1	no	—
765	Dic₄₇	—	4	1	no	—
766	Dic₄₇	—	4	1	no	—
767	Dic₄₇	#525	1	4	yes	—
768	Dic₄₇	#547	1	4	yes	—
769	C₂×#529	—	47	1	no	—
770	C₂×C₄×#41	—	47	1	no	—
771	#2478	—	47	1	no	—
772	#2478	—	47	1	no	—
773	#2470	—	47	1	no	—
774	#2470	—	47	1	no	—
775	#2466	—	47	1	no	—
776	#2466	D₄₇	1	1	yes	characteristic, complemented
777	#2455	—	47	1	no	—
778	#2455	—	47	1	no	—
779	#2453	—	47	1	no	—
780	#2447	—	47	1	no	—
781	#2441	—	47	1	no	—
782	#2432	—	47	1	no	—
783	#2429	—	47	1	no	—
784	#2422	—	47	1	no	—
785	#2415	—	47	1	no	—
786	#2407	—	47	1	no	—
787	#2395	—	47	1	no	—
788	#2395	—	47	1	no	—
789	#2392	—	47	1	no	—
790	#2392	—	47	1	no	—
791	C₄×C₄⋊Q₈	—	47	1	no	—
792	C₄×C₂²⋊Q₈	—	47	1	no	—
793	C₄×C₂²⋊Q₈	—	47	1	no	—
794	C₄×#123	—	47	1	no	—
795	C₄×#123	—	47	1	no	—
796	#2296	—	47	1	no	—
797	#2296	—	47	1	no	—
798	#2293	—	47	1	no	—
799	C₄²×D₄	—	47	1	no	—
800	C₂×C₄₇	—	4	2	no	—
801	C₂×C₄₇	—	4	2	no	—
802	C₂×C₄₇	C₂×#525	1	1	yes	characteristic
803	C₂×C₄₇	#3444	1	1	yes	characteristic
804	C₂×C₄₇	#3461	1	1	yes	characteristic
805	C₂×C₄₇	C₂×#547	1	1	yes	characteristic
806	C₂×C₄₇	D₄×#41	1	1	yes	characteristic
807	C₂×C₄₇	#3480	1	1	yes	characteristic
808	C₂×C₄₇	#3482	1	1	yes	characteristic
809	D₄₇	—	4	2	no	—
810	D₄₇	—	4	2	no	—
811	C₂²×#41	—	47	1	no	—
812	C₂×C₄⋊Q₈	—	47	1	no	—
813	#529	—	94	8	no	—
814	C₂×#126	—	47	1	no	—
815	C₂×#126	C₂×D₄₇	1	1	yes	characteristic
816	C₂×#125	—	47	1	no	—
817	C₂×#124	—	47	1	no	—
818	C₂×#123	—	47	1	no	—
819	C₂×#123	—	47	1	no	—
820	C₂×#123	—	47	1	no	—
821	C₂×#123	—	47	1	no	—
822	C₂×C₂²⋊Q₈	—	47	1	no	—
823	C₂×C₂²⋊Q₈	—	47	1	no	—
824	C₂×C₂²⋊Q₈	—	47	1	no	—
825	C₂×#121	—	47	1	no	—
826	C₄×#41	—	94	8	no	—
827	C₂×C₄×Q₈	—	47	1	no	—
828	C₂×C₄×Q₈	—	47	1	no	—
829	C₂×C₄×Q₈	—	47	1	no	—
830	C₂×C₄×D₄	—	47	1	no	—
831	C₂×C₄×D₄	—	47	1	no	—
832	C₂×C₄×D₄	—	47	1	no	—
833	C₂×C₄×D₄	—	47	1	no	—
834	C₂×C₄×D₄	—	47	1	no	—
835	C₂×C₄×D₄	—	47	1	no	—
836	C₂×C₄×D₄	—	47	1	no	—
837	C₂×C₄×D₄	—	47	1	no	—
838	C₂×C₄×D₄	—	47	1	no	—
839	C₂×C₄×D₄	—	47	1	no	—
840	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
841	C₂×#117	—	47	1	no	—
842	C₂×#117	—	47	1	no	—
843	C₂×#117	—	47	1	no	—
844	C₂×#117	—	47	1	no	—
845	C₂×#117	—	47	1	no	—
846	C₂×#117	—	47	1	no	—
847	C₂×#117	—	47	1	no	—
848	C₂²×C₄²	—	47	1	no	—
849	C₂²×C₄²	—	47	1	no	—
850	C₂²×C₄²	—	47	1	no	—
851	C₂²×C₄²	—	47	1	no	—
852	#400	—	47	1	no	—
853	#400	—	47	1	no	—
854	#399	—	47	1	no	—
855	#399	—	47	1	no	—
856	#398	—	47	1	no	—
857	#398	—	47	1	no	—
858	#398	—	47	1	no	—
859	#398	—	47	1	no	—
860	#397	—	47	1	no	—
861	#397	—	47	1	no	—
862	#397	—	47	1	no	—
863	#397	—	47	1	no	—
864	#397	—	47	1	no	—
865	#397	—	47	1	no	—
866	#397	—	47	1	no	—
867	#397	C₂×D₄₇	1	1	yes	characteristic
868	#396	—	47	1	no	—
869	#396	—	47	1	no	—
870	#396	—	47	1	no	—
871	#396	C₂×D₄₇	1	1	yes	characteristic
872	#394	—	47	1	no	—
873	#394	—	47	1	no	—
874	#394	—	47	1	no	—
875	#394	—	47	1	no	—
876	#394	—	47	1	no	—
877	#394	—	47	1	no	—
878	#394	—	47	1	no	—
879	#394	—	47	1	no	—
880	#394	C₂×D₄₇	1	1	yes	characteristic
881	#394	C₂×D₄₇	1	1	yes	characteristic
882	#392	—	47	1	no	—
883	#392	—	47	1	no	—
884	#391	—	47	1	no	—
885	#391	—	47	1	no	—
886	#391	—	47	1	no	—
887	#391	—	47	1	no	—
888	#390	—	47	1	no	—
889	#390	—	47	1	no	—
890	#389	—	47	1	no	—
891	#389	—	47	1	no	—
892	#389	—	47	1	no	—
893	#389	—	47	1	no	—
894	#389	—	47	1	no	—
895	#389	—	47	1	no	—
896	#389	—	47	1	no	—
897	#389	—	47	1	no	—
898	#389	—	47	1	no	—
899	#389	—	47	1	no	—
900	#389	—	47	1	no	—
901	#389	—	47	1	no	—
902	#389	—	47	1	no	—
903	#389	—	47	1	no	—
904	#389	C₂×D₄₇	1	1	yes	characteristic
905	#389	C₂×D₄₇	1	1	yes	characteristic
906	#388	—	47	1	no	—
907	#388	—	47	1	no	—
908	#388	—	47	1	no	—
909	#388	—	47	1	no	—
910	#388	—	47	1	no	—
911	#388	—	47	1	no	—
912	#388	—	47	1	no	—
913	#388	C₂×D₄₇	1	1	yes	characteristic
914	#387	—	47	1	no	—
915	#387	—	47	1	no	—
916	#387	—	47	1	no	—
917	#387	—	47	1	no	—
918	#387	—	47	1	no	—
919	#387	—	47	1	no	—
920	#387	C₂×D₄₇	1	1	yes	characteristic
921	#387	C₂×D₄₇	1	1	yes	characteristic
922	#386	—	47	1	no	—
923	#386	—	47	1	no	—
924	#385	—	47	1	no	—
925	#385	—	47	1	no	—
926	#385	—	47	1	no	—
927	#385	—	47	1	no	—
928	#385	—	47	1	no	—
929	#385	—	47	1	no	—
930	#385	—	47	1	no	—
931	#385	—	47	1	no	—
932	#385	—	47	1	no	—
933	#385	—	47	1	no	—
934	#385	—	47	1	no	—
935	#385	—	47	1	no	—
936	#385	C₂×D₄₇	1	1	yes	characteristic
937	#385	C₂×D₄₇	1	1	yes	characteristic
938	#384	—	47	1	no	—
939	#381	—	47	1	no	—
940	#381	C₂×D₄₇	1	1	yes	characteristic
941	#380	—	47	1	no	—
942	#380	—	47	1	no	—
943	C₄×C₄⋊C₄	—	47	1	no	—
944	C₄×C₄⋊C₄	—	47	1	no	—
945	C₄×C₄⋊C₄	—	47	1	no	—
946	C₄×C₄⋊C₄	—	47	1	no	—
947	C₄×C₄⋊C₄	—	47	1	no	—
948	C₄×C₄⋊C₄	—	47	1	no	—
949	C₄×C₄⋊C₄	—	47	1	no	—
950	C₄×C₄⋊C₄	—	47	1	no	—
951	C₄×C₄⋊C₄	—	47	1	no	—
952	C₄×C₄⋊C₄	—	47	1	no	—
953	C₄×C₄⋊C₄	—	47	1	no	—
954	C₄×C₄⋊C₄	—	47	1	no	—
955	C₄×C₂²⋊C₄	—	47	1	no	—
956	C₄×C₂²⋊C₄	—	47	1	no	—
957	C₄×C₂²⋊C₄	—	47	1	no	—
958	C₄×C₂²⋊C₄	—	47	1	no	—
959	C₄×C₂²⋊C₄	—	47	1	no	—
960	C₄×C₂²⋊C₄	—	47	1	no	—
961	C₄×C₂²⋊C₄	—	47	1	no	—
962	C₄×C₂²⋊C₄	—	47	1	no	—
963	C₄×C₂²⋊C₄	—	47	1	no	—
964	C₄×C₂²⋊C₄	—	47	1	no	—
965	C₄×C₂²⋊C₄	—	47	1	no	—
966	C₄×C₂²⋊C₄	C₂×D₄₇	1	1	yes	characteristic
967	C₄³	—	47	1	no	—
968	C₄₇	#34724	1	1	yes	characteristic, complemented, Sylow
969	C₂×#41	—	94	4	no	—
970	C₂×#41	—	94	4	no	—
971	C₂×#41	—	94	4	no	—
972	C₂²×Q₈	—	47	1	no	—
973	C₂²×Q₈	—	47	1	no	—
974	C₂²×D₄	—	47	1	no	—
975	C₂²×D₄	—	47	1	no	—
976	C₂²×D₄	—	47	1	no	—
977	C₂²×D₄	—	47	1	no	—
978	C₂²×D₄	—	47	1	no	—
979	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
980	C₂³×C₄	—	47	1	no	—
981	C₂³×C₄	—	47	1	no	—
982	C₂³×C₄	—	47	1	no	—
983	C₂³×C₄	—	47	1	no	—
984	C₂³×C₄	—	47	1	no	—
985	C₂³×C₄	—	47	1	no	—
986	C₂³×C₄	—	47	1	no	—
987	C₂³×C₄	—	47	1	no	—
988	C₂³×C₄	—	47	1	no	—
989	C₂³×C₄	—	47	1	no	—
990	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
991	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
992	C₄⋊Q₈	—	94	4	no	—
993	#126	—	2	4	no	—
994	#126	—	94	4	no	—
995	#125	—	94	4	no	—
996	#124	—	94	4	no	—
997	#123	—	94	4	no	—
998	#123	—	94	4	no	—
999	#123	—	94	4	no	—
1000	#123	—	94	4	no	—
1001	C₂²⋊Q₈	—	94	4	no	—
1002	C₂²⋊Q₈	—	94	4	no	—
1003	C₂²⋊Q₈	—	94	4	no	—
1004	#121	—	94	4	no	—
1005	C₄×Q₈	—	94	4	no	—
1006	C₄×Q₈	—	94	4	no	—
1007	C₄×Q₈	—	94	4	no	—
1008	C₄×D₄	—	2	4	no	—
1009	C₄×D₄	—	47	8	no	—
1010	C₄×D₄	—	94	4	no	—
1011	C₄×D₄	—	94	4	no	—
1012	C₄×D₄	—	94	4	no	—
1013	C₄×D₄	—	94	4	no	—
1014	C₄×D₄	—	94	4	no	—
1015	C₄×D₄	—	94	4	no	—
1016	C₄×D₄	—	94	4	no	—
1017	C₄×D₄	—	94	4	no	—
1018	C₄×D₄	—	94	4	no	—
1019	#117	—	94	4	no	—
1020	#117	—	94	4	no	—
1021	#117	—	94	4	no	—
1022	#117	—	94	4	no	—
1023	#117	—	94	4	no	—
1024	#117	—	94	4	no	—
1025	#117	—	94	4	no	—
1026	C₂×C₄⋊C₄	—	47	1	no	—
1027	C₂×C₄⋊C₄	—	47	1	no	—
1028	C₂×C₄⋊C₄	—	47	1	no	—
1029	C₂×C₄⋊C₄	—	47	1	no	—
1030	C₂×C₄⋊C₄	—	47	1	no	—
1031	C₂×C₄⋊C₄	—	47	1	no	—
1032	C₂×C₄⋊C₄	—	47	1	no	—
1033	C₂×C₄⋊C₄	—	47	1	no	—
1034	C₂×C₄⋊C₄	—	47	1	no	—
1035	C₂×C₄⋊C₄	—	47	1	no	—
1036	C₂×C₄⋊C₄	—	47	1	no	—
1037	C₂×C₄⋊C₄	—	47	1	no	—
1038	C₂×C₄⋊C₄	—	47	1	no	—
1039	C₂×C₄⋊C₄	—	47	1	no	—
1040	C₂×C₄⋊C₄	—	47	1	no	—
1041	C₂×C₄⋊C₄	—	47	1	no	—
1042	C₂×C₄⋊C₄	—	47	1	no	—
1043	C₂×C₄⋊C₄	—	47	1	no	—
1044	C₂×C₄⋊C₄	—	47	1	no	—
1045	C₂×C₄⋊C₄	—	47	1	no	—
1046	C₂×C₄⋊C₄	—	47	1	no	—
1047	C₂×C₄⋊C₄	—	47	1	no	—
1048	C₂×C₄⋊C₄	—	47	1	no	—
1049	C₂×C₄⋊C₄	—	47	1	no	—
1050	C₂×C₄⋊C₄	—	47	1	no	—
1051	C₂×C₄⋊C₄	—	47	1	no	—
1052	C₂×C₄⋊C₄	—	47	1	no	—
1053	C₂×C₄⋊C₄	—	47	1	no	—
1054	C₂×C₄⋊C₄	—	47	1	no	—
1055	C₂×C₄⋊C₄	—	47	1	no	—
1056	C₂×C₄⋊C₄	—	47	1	no	—
1057	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1058	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1059	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1060	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1061	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1062	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1063	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1064	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1065	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	—	47	1	no	—
1067	C₂×C₂²⋊C₄	—	47	1	no	—
1068	C₂×C₂²⋊C₄	—	47	1	no	—
1069	C₂×C₂²⋊C₄	—	47	1	no	—
1070	C₂×C₂²⋊C₄	—	47	1	no	—
1071	C₂×C₂²⋊C₄	—	47	1	no	—
1072	C₂×C₂²⋊C₄	—	47	1	no	—
1073	C₂×C₂²⋊C₄	—	47	1	no	—
1074	C₂×C₂²⋊C₄	—	47	1	no	—
1075	C₂×C₂²⋊C₄	—	47	1	no	—
1076	C₂×C₂²⋊C₄	—	47	1	no	—
1077	C₂×C₂²⋊C₄	—	47	1	no	—
1078	C₂×C₂²⋊C₄	—	47	1	no	—
1079	C₂×C₂²⋊C₄	—	47	1	no	—
1080	C₂×C₂²⋊C₄	—	47	1	no	—
1081	C₂×C₂²⋊C₄	—	47	1	no	—
1082	C₂×C₂²⋊C₄	—	47	1	no	—
1083	C₂×C₂²⋊C₄	—	47	1	no	—
1084	C₂×C₂²⋊C₄	—	47	1	no	—
1085	C₂×C₂²⋊C₄	—	47	1	no	—
1086	C₂×C₂²⋊C₄	—	47	1	no	—
1087	C₂×C₂²⋊C₄	—	47	1	no	—
1088	C₂×C₂²⋊C₄	—	47	1	no	—
1089	C₂×C₂²⋊C₄	—	47	1	no	—
1090	C₂×C₂²⋊C₄	—	47	1	no	—
1091	C₂×C₂²⋊C₄	—	47	1	no	—
1092	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1102	C₂×C₄²	—	47	1	no	—
1103	C₂×C₄²	—	47	1	no	—
1104	C₂×C₄²	—	47	1	no	—
1105	C₂×C₄²	—	47	1	no	—
1106	C₂×C₄²	—	47	1	no	—
1107	C₂×C₄²	—	47	1	no	—
1108	C₂×C₄²	—	47	1	no	—
1109	C₂×C₄²	—	47	1	no	—
1110	C₂×C₄²	—	47	1	no	—
1111	C₂×C₄²	—	47	1	no	—
1112	C₂×C₄²	—	47	1	no	—
1113	C₂×C₄²	—	47	1	no	—
1114	C₂×C₄²	—	47	1	no	—
1115	C₂×C₄²	—	47	1	no	—
1116	C₂×C₄²	—	47	1	no	—
1117	C₂×C₄²	—	47	1	no	—
1118	C₂×C₄²	—	47	1	no	—
1119	C₂×C₄²	—	47	1	no	—
1120	C₂×C₄²	—	47	1	no	—
1121	C₂×C₄²	—	47	1	no	—
1122	C₂×C₄²	—	94	4	no	—
1123	C₂×C₄²	—	94	4	no	—
1124	C₂×C₄²	—	94	4	no	—
1125	C₂×C₄²	—	94	4	no	—
1126	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1127	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1128	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1129	#95	—	47	1	no	—
1130	#95	—	47	1	no	—
1131	#95	—	47	1	no	—
1132	#95	—	47	1	no	—
1133	#95	—	47	1	no	—
1134	#95	—	47	1	no	—
1135	#95	—	47	1	no	—
1136	#95	—	47	1	no	—
1137	#95	—	47	1	no	—
1138	#95	—	47	1	no	—
1139	#95	—	47	1	no	—
1140	#95	—	47	1	no	—
1141	#95	—	47	1	no	—
1142	#95	—	47	1	no	—
1143	#95	—	47	1	no	—
1144	#95	—	47	1	no	—
1145	#95	—	47	1	no	—
1146	#95	—	47	1	no	—
1147	#95	—	47	1	no	—
1148	#95	—	47	1	no	—
1149	#95	—	47	1	no	—
1150	#95	—	47	1	no	—
1151	#95	—	47	1	no	—
1152	#95	—	47	1	no	—
1153	#95	—	47	1	no	—
1154	#95	—	47	1	no	—
1155	#95	C₂²×D₄₇	1	1	yes	characteristic
1156	#95	C₂²×D₄₇	1	1	yes	characteristic
1157	#95	C₂²×D₄₇	1	1	yes	characteristic
1158	#95	C₂²×D₄₇	1	1	yes	characteristic
1159	#95	C₂²×D₄₇	1	1	yes	characteristic
1160	#95	C₂²×D₄₇	1	1	yes	characteristic
1161	#95	C₂²×D₄₇	1	1	yes	characteristic
1162	#95	C₂²×D₄₇	1	1	yes	characteristic
1163	#95	C₂²×D₄₇	1	1	yes	characteristic
1164	#95	C₂²×D₄₇	1	1	yes	characteristic
1165	C₂⁴	—	47	1	no	—
1166	C₂⁴	—	47	1	no	—
1167	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1168	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1169	#41	—	94	32	no	—
1170	C₂×Q₈	—	47	4	no	—
1171	C₂×Q₈	—	94	2	no	—
1172	C₂×Q₈	—	94	2	no	—
1173	C₂×Q₈	—	94	2	no	—
1174	C₂×Q₈	—	94	2	no	—
1175	C₂×Q₈	—	94	2	no	—
1176	C₂×D₄	—	2	2	no	—
1177	C₂×D₄	—	2	2	no	—
1178	C₂×D₄	—	2	2	no	—
1179	C₂×D₄	—	47	4	no	—
1180	C₂×D₄	—	94	2	no	—
1181	C₂×D₄	—	94	2	no	—
1182	C₂×D₄	—	94	2	no	—
1183	C₂×D₄	—	94	2	no	—
1184	C₂×D₄	—	94	2	no	—
1185	C₂×D₄	—	94	2	no	—
1186	C₂×D₄	—	94	2	no	—
1187	C₂×D₄	—	94	2	no	—
1188	C₂×D₄	—	94	2	no	—
1189	C₂×D₄	—	94	2	no	—
1190	C₂×D₄	—	94	2	no	—
1191	C₂×D₄	—	94	2	no	—
1192	C₂×D₄	—	188	1	no	—
1193	C₂×D₄	—	188	1	no	—
1194	C₂²×C₄	—	2	2	no	—
1195	C₂²×C₄	—	2	2	no	—
1196	C₂²×C₄	—	2	2	no	—
1197	C₂²×C₄	—	2	2	no	—
1198	C₂²×C₄	—	4	1	no	—
1199	C₂²×C₄	—	4	1	no	—
1200	C₂²×C₄	—	47	1	no	—
1201	C₂²×C₄	—	47	1	no	—
1202	C₂²×C₄	—	47	4	no	—
1203	C₂²×C₄	—	47	4	no	—
1204	C₂²×C₄	—	47	1	no	—
1205	C₂²×C₄	—	47	1	no	—
1206	C₂²×C₄	—	47	1	no	—
1207	C₂²×C₄	—	47	1	no	—
1208	C₂²×C₄	—	47	1	no	—
1209	C₂²×C₄	—	47	4	no	—
1210	C₂²×C₄	—	47	1	no	—
1211	C₂²×C₄	—	47	1	no	—
1212	C₂²×C₄	—	47	1	no	—
1213	C₂²×C₄	—	47	1	no	—
1214	C₂²×C₄	—	47	1	no	—
1215	C₂²×C₄	—	47	1	no	—
1216	C₂²×C₄	—	47	1	no	—
1217	C₂²×C₄	—	94	2	no	—
1218	C₂²×C₄	—	94	2	no	—
1219	C₂²×C₄	—	94	2	no	—
1220	C₂²×C₄	—	94	2	no	—
1221	C₂²×C₄	—	94	2	no	—
1222	C₂²×C₄	—	94	2	no	—
1223	C₂²×C₄	—	94	2	no	—
1224	C₂²×C₄	—	94	2	no	—
1225	C₂²×C₄	—	94	2	no	—
1226	C₂²×C₄	—	94	2	no	—
1227	C₂²×C₄	—	94	2	no	—
1228	C₂²×C₄	—	94	2	no	—
1229	C₂²×C₄	—	94	2	no	—
1230	C₂²×C₄	—	94	2	no	—
1231	C₂²×C₄	—	94	2	no	—
1232	C₂²×C₄	—	94	2	no	—
1233	C₂²×C₄	—	94	2	no	—
1234	C₂²×C₄	—	94	2	no	—
1235	C₂²×C₄	—	94	2	no	—
1236	C₂²×C₄	—	94	2	no	—
1237	C₂²×C₄	—	94	2	no	—
1238	C₂²×C₄	—	94	2	no	—
1239	C₂²×C₄	—	94	2	no	—
1240	C₂²×C₄	—	94	2	no	—
1241	C₂²×C₄	—	94	2	no	—
1242	C₂²×C₄	—	188	1	no	—
1243	C₂²×C₄	—	188	1	no	—
1244	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1245	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1246	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1247	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1248	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1249	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1250	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1251	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1252	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1253	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1254	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1255	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1256	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1257	C₄⋊C₄	—	2	2	no	—
1258	C₄⋊C₄	—	2	2	no	—
1259	C₄⋊C₄	—	2	2	no	—
1260	C₄⋊C₄	—	2	2	no	—
1261	C₄⋊C₄	—	2	2	no	—
1262	C₄⋊C₄	—	2	2	no	—
1263	C₄⋊C₄	—	2	2	no	—
1264	C₄⋊C₄	—	2	2	no	—
1265	C₄⋊C₄	—	4	1	no	—
1266	C₄⋊C₄	—	47	4	no	—
1267	C₄⋊C₄	—	94	2	no	—
1268	C₄⋊C₄	—	94	2	no	—
1269	C₄⋊C₄	—	94	2	no	—
1270	C₄⋊C₄	—	94	2	no	—
1271	C₄⋊C₄	—	94	2	no	—
1272	C₄⋊C₄	—	94	2	no	—
1273	C₄⋊C₄	—	94	2	no	—
1274	C₄⋊C₄	—	94	2	no	—
1275	C₄⋊C₄	—	94	2	no	—
1276	C₄⋊C₄	—	94	2	no	—
1277	C₄⋊C₄	—	94	2	no	—
1278	C₄⋊C₄	—	94	2	no	—
1279	C₄⋊C₄	—	94	2	no	—
1280	C₄⋊C₄	—	94	2	no	—
1281	C₄⋊C₄	—	94	2	no	—
1282	C₄⋊C₄	—	94	2	no	—
1283	C₄⋊C₄	—	94	2	no	—
1284	C₄⋊C₄	—	94	2	no	—
1285	C₄⋊C₄	—	94	2	no	—
1286	C₄⋊C₄	—	94	2	no	—
1287	C₄⋊C₄	—	94	2	no	—
1288	C₄⋊C₄	—	94	2	no	—
1289	C₄⋊C₄	—	94	2	no	—
1290	C₄⋊C₄	—	94	2	no	—
1291	C₄⋊C₄	—	94	2	no	—
1292	C₄⋊C₄	—	94	2	no	—
1293	C₄⋊C₄	—	94	2	no	—
1294	C₄⋊C₄	—	188	1	no	—
1295	C₄⋊C₄	—	188	1	no	—
1296	C₄⋊C₄	—	188	1	no	—
1297	C₂²⋊C₄	—	2	2	no	—
1298	C₂²⋊C₄	—	2	2	no	—
1299	C₂²⋊C₄	—	2	2	no	—
1300	C₂²⋊C₄	—	2	2	no	—
1301	C₂²⋊C₄	—	2	2	no	—
1302	C₂²⋊C₄	—	2	2	no	—
1303	C₂²⋊C₄	—	2	2	no	—
1304	C₂²⋊C₄	—	4	1	no	—
1305	C₂²⋊C₄	—	4	1	no	—
1306	C₂²⋊C₄	—	47	4	no	—
1307	C₂²⋊C₄	—	47	4	no	—
1308	C₂²⋊C₄	—	94	2	no	—
1309	C₂²⋊C₄	—	94	2	no	—
1310	C₂²⋊C₄	—	94	2	no	—
1311	C₂²⋊C₄	—	94	2	no	—
1312	C₂²⋊C₄	—	94	2	no	—
1313	C₂²⋊C₄	—	94	2	no	—
1314	C₂²⋊C₄	—	94	2	no	—
1315	C₂²⋊C₄	—	94	2	no	—
1316	C₂²⋊C₄	—	94	2	no	—
1317	C₂²⋊C₄	—	94	2	no	—
1318	C₂²⋊C₄	—	94	2	no	—
1319	C₂²⋊C₄	—	94	2	no	—
1320	C₂²⋊C₄	—	94	2	no	—
1321	C₂²⋊C₄	—	94	2	no	—
1322	C₂²⋊C₄	—	94	2	no	—
1323	C₂²⋊C₄	—	94	2	no	—
1324	C₂²⋊C₄	—	94	2	no	—
1325	C₂²⋊C₄	—	94	2	no	—
1326	C₂²⋊C₄	—	94	2	no	—
1327	C₂²⋊C₄	—	94	2	no	—
1328	C₂²⋊C₄	—	94	2	no	—
1329	C₂²⋊C₄	—	94	2	no	—
1330	C₂²⋊C₄	—	188	1	no	—
1331	C₂²⋊C₄	—	188	1	no	—
1332	C₂²⋊C₄	D₄×D₄₇	1	4	yes	—
1333	C₄²	—	2	2	no	—
1334	C₄²	—	2	2	no	—
1335	C₄²	—	4	1	no	—
1336	C₄²	—	47	4	no	—
1337	C₄²	—	47	4	no	—
1338	C₄²	—	94	2	no	—
1339	C₄²	—	94	2	no	—
1340	C₄²	—	94	2	no	—
1341	C₄²	—	94	2	no	—
1342	C₄²	—	94	2	no	—
1343	C₄²	—	94	2	no	—
1344	C₄²	—	94	2	no	—
1345	C₄²	—	94	2	no	—
1346	C₄²	—	94	2	no	—
1347	C₄²	—	94	2	no	—
1348	C₄²	—	94	2	no	—
1349	C₄²	—	94	2	no	—
1350	C₄²	—	94	2	no	—
1351	C₄²	—	94	2	no	—
1352	C₄²	—	94	2	no	—
1353	C₄²	—	94	2	no	—
1354	C₄²	—	94	2	no	—
1355	C₄²	—	94	2	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	47	2	no	—
1369	C₂³	—	47	2	no	—
1370	C₂³	—	94	1	no	—
1371	C₂³	—	94	1	no	—
1372	C₂³	—	94	1	no	—
1373	C₂³	—	94	1	no	—
1374	C₂³	—	94	1	no	—
1375	C₂³	—	94	1	no	—
1376	C₂³	—	94	1	no	—
1377	C₂³	—	94	1	no	—
1378	C₂³	—	94	1	no	—
1379	C₂³	—	94	1	no	—
1380	C₂³	—	94	1	no	—
1381	C₂³	—	94	1	no	—
1382	C₂³	C₂×D₄×D₄₇	1	2	yes	—
1383	C₂³	#41×D₄₇	1	2	yes	—
1384	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1385	Q₈	—	94	8	no	—
1386	Q₈	—	188	4	no	—
1387	D₄	—	2	8	no	—
1388	D₄	—	94	8	no	—
1389	D₄	—	94	8	no	—
1390	D₄	—	94	8	no	—
1391	D₄	—	188	4	no	—
1392	D₄	—	188	4	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	4	4	no	—
1428	C₂×C₄	—	4	4	no	—
1429	C₂×C₄	—	47	2	no	—
1430	C₂×C₄	—	47	2	no	—
1431	C₂×C₄	—	47	2	no	—
1432	C₂×C₄	—	47	2	no	—
1433	C₂×C₄	—	47	2	no	—
1434	C₂×C₄	—	47	2	no	—
1435	C₂×C₄	—	47	2	no	—
1436	C₂×C₄	—	47	2	no	—
1437	C₂×C₄	—	47	2	no	—
1438	C₂×C₄	—	47	2	no	—
1439	C₂×C₄	—	47	2	no	—
1440	C₂×C₄	—	94	8	no	—
1441	C₂×C₄	—	94	8	no	—
1442	C₂×C₄	—	94	8	no	—
1443	C₂×C₄	—	94	8	no	—
1444	C₂×C₄	—	94	8	no	—
1445	C₂×C₄	—	94	1	no	—
1446	C₂×C₄	—	94	1	no	—
1447	C₂×C₄	—	94	1	no	—
1448	C₂×C₄	—	94	1	no	—
1449	C₂×C₄	—	94	1	no	—
1450	C₂×C₄	—	94	1	no	—
1451	C₂×C₄	—	94	1	no	—
1452	C₂×C₄	—	94	1	no	—
1453	C₂×C₄	—	94	1	no	—
1454	C₂×C₄	—	94	1	no	—
1455	C₂×C₄	—	94	1	no	—
1456	C₂×C₄	—	94	1	no	—
1457	C₂×C₄	—	94	1	no	—
1458	C₂×C₄	—	94	1	no	—
1459	C₂×C₄	—	94	1	no	—
1460	C₂×C₄	—	94	1	no	—
1461	C₂×C₄	—	94	1	no	—
1462	C₂×C₄	—	94	1	no	—
1463	C₂×C₄	—	94	1	no	—
1464	C₂×C₄	—	94	1	no	—
1465	C₂×C₄	—	94	1	no	—
1466	C₂×C₄	—	94	1	no	—
1467	C₂×C₄	—	94	1	no	—
1468	C₂×C₄	—	94	1	no	—
1469	C₂×C₄	—	94	1	no	—
1470	C₂×C₄	—	94	1	no	—
1471	C₂×C₄	—	94	1	no	—
1472	C₂×C₄	—	94	1	no	—
1473	C₂×C₄	—	94	1	no	—
1474	C₂×C₄	—	94	1	no	—
1475	C₂×C₄	—	94	1	no	—
1476	C₂×C₄	—	188	4	no	—
1477	C₂×C₄	—	188	4	no	—
1478	C₂×C₄	—	188	4	no	—
1479	C₂×C₄	—	188	4	no	—
1480	C₂×C₄	—	188	4	no	—
1481	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
1482	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
1483	C₂×C₄	#41×D₄₇	1	2	yes	—
1484	C₂×C₄	#41×D₄₇	1	2	yes	—
1485	C₂×C₄	#41×D₄₇	1	2	yes	—
1486	C₂²	—	2	2	no	—
1487	C₂²	—	2	2	no	—
1488	C₂²	—	2	2	no	—
1489	C₂²	—	2	2	no	—
1490	C₂²	—	2	2	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	4	1	no	—
1493	C₂²	—	4	1	no	—
1494	C₂²	—	4	1	no	—
1495	C₂²	—	4	1	no	—
1496	C₂²	—	4	1	no	—
1497	C₂²	—	4	1	no	—
1498	C₂²	—	4	1	no	—
1499	C₂²	—	4	1	no	—
1500	C₂²	—	94	2	no	—
1501	C₂²	—	94	2	no	—
1502	C₂²	—	94	2	no	—
1503	C₂²	—	94	2	no	—
1504	C₂²	—	94	2	no	—
1505	C₂²	—	94	2	no	—
1506	C₂²	—	188	1	no	—
1507	C₂²	—	188	1	no	—
1508	C₂²	—	188	1	no	—
1509	C₂²	—	188	1	no	—
1510	C₂²	—	188	1	no	—
1511	C₂²	—	188	1	no	—
1512	C₂²	—	188	1	no	—
1513	C₂²	—	188	1	no	—
1514	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
1515	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
1516	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
1517	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
1518	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
1519	C₂²	2₋¹⁺⁴×D₄₇	1	1	yes	characteristic
1520	C₂²	#15689958	1	1	yes	characteristic
1521	C₄	—	2	2	no	—
1522	C₄	—	2	2	no	—
1523	C₄	—	2	2	no	—
1524	C₄	—	2	2	no	—
1525	C₄	—	2	2	no	—
1526	C₄	—	4	1	no	—
1527	C₄	—	4	1	no	—
1528	C₄	—	4	1	no	—
1529	C₄	—	4	1	no	—
1530	C₄	—	4	1	no	—
1531	C₄	—	4	1	no	—
1532	C₄	—	4	1	no	—
1533	C₄	—	4	1	no	—
1534	C₄	—	47	4	no	—
1535	C₄	—	47	4	no	—
1536	C₄	—	94	2	no	—
1537	C₄	—	94	2	no	—
1538	C₄	—	94	2	no	—
1539	C₄	—	94	2	no	—
1540	C₄	—	94	2	no	—
1541	C₄	—	188	1	no	—
1542	C₄	—	188	1	no	—
1543	C₄	—	188	1	no	—
1544	C₄	—	188	1	no	—
1545	C₄	—	188	1	no	—
1546	C₄	—	188	1	no	—
1547	C₄	—	188	1	no	—
1548	C₂	—	4	2	no	—
1549	C₂	—	4	2	no	—
1550	C₂	—	188	2	no	—
1551	C₂	—	188	2	no	—
1552	C₂	#525×D₄₇	1	1	yes	characteristic
1553	C₂	#20256682	1	1	yes	characteristic
1554	C₂	#20256818	1	1	yes	characteristic
1555	C₂	#547×D₄₇	1	1	yes	characteristic
1556	C₂	#20256872	1	1	yes	characteristic
1557	C₂	#20256982	1	1	yes	characteristic
1558	C₂	#20257007	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator, socle, cosocle	C₂³×C₄₇	C₂⁵
Fitting	C₄₇×#2466	C₂
prime radical	#20246728	C₂
hypercenter	#2466	D₄₇
hypocenter	C₄₇	#34724
LCS	G ▷ C₂³×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ #2466

Complements

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

N	H ≅ G/N	type
1. C₂×#15689656	C₂	semidirect
2. C₂×C₄×#10625352	C₂	semidirect
3. #20247608	C₂	semidirect
4. #20247600	C₂	semidirect
5. #20247490	C₂	semidirect
6. #20247482	C₂	semidirect
7. #20247424	C₂	semidirect
8. #20247270	C₂	semidirect
9. #20247265	C₂	semidirect
10. #20247248	C₂	semidirect
11. #20247174	C₂	semidirect
12. #20247096	C₂	semidirect
13. #20247011	C₂	semidirect
14. #20246986	C₂	semidirect
15. #20246901	C₂	semidirect
16. #20246812	C₂	semidirect
18. #20246650	C₂	semidirect
19. #20246644	C₂	semidirect
20. #20246633	C₂	semidirect
21. #20246631	C₂	semidirect
22. #20245959	C₂	semidirect
23. #20245922	C₂	semidirect
24. #20245920	C₂	semidirect
25. #20245909	C₂	semidirect
26. #20245905	C₂	semidirect
27. #20245869	C₂	semidirect
28. #20245867	C₂	semidirect
29. #20245848	C₂	semidirect
30. C₄×(C₂²⋊D₄₇)⋊C₄	C₂	semidirect
31. C₄₇×#2466	C₂	semidirect
233. (C₂²⋊D₄₇)⋊C₄	D₄	semidirect
524. (C₂×D₄₇)⋊C₄	#41	semidirect
575. C₄×Dic₄₇	#41	semidirect
776. #2466	D₄₇	semidirect
968. C₄₇	#34724	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689656	2
C₂×C₄×#10625352	2
#20247608	2
#20247600	2
#20247490	2
#20247482	2
#20247424	2
#20247270	2
#20247265	2
#20247248	2
#20247174	2
#20247096	2
#20247011	2
#20246986	2
#20246901	2
#20246812	2
#20246728	2
#20246650	2
#20246644	2
#20246633	2
#20246631	2
#20245959	2
#20245922	2
#20245920	2
#20245909	2
#20245905	2
#20245869	2
#20245867	2
#20245848	2
C₄×(C₂²⋊D₄₇)⋊C₄	2
C₄₇×#2466	2
#34724	47