Subgroups — #26379931

Order 12032.

2182 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689741	C₂	1	1	yes	maximal, characteristic
2	#20246579	C₂	1	1	yes	maximal, characteristic, complemented
3	#20246576	C₂	1	1	yes	maximal, characteristic, complemented
4	#20246556	C₂	1	1	yes	maximal, characteristic, complemented
5	#20246550	C₂	1	1	yes	maximal, characteristic, complemented
6	#20246510	C₂	1	1	yes	maximal, characteristic, complemented
7	#20246501	C₂	1	1	yes	maximal, characteristic, complemented
8	#20246474	C₂	1	1	yes	maximal, characteristic, complemented
9	#20246460	C₂	1	1	yes	maximal, characteristic, complemented
10	#20246456	C₂	1	1	yes	maximal, characteristic, complemented
11	#20246443	C₂	1	1	yes	maximal, characteristic, complemented
12	#20246396	C₂	1	1	yes	maximal, characteristic, complemented
13	#20246393	C₂	1	1	yes	maximal, characteristic, complemented
14	#20246356	C₂	1	1	yes	maximal, characteristic, complemented
15	#20246350	C₂	1	1	yes	maximal, characteristic, complemented
16	#20246302	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄⋊C₄×C₂²⋊D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
18	#20246199	C₂	1	1	yes	maximal, characteristic, complemented
19	#20246197	C₂	1	1	yes	maximal, characteristic, complemented
20	#20246185	C₂	1	1	yes	maximal, characteristic, complemented
21	#20246182	C₂	1	1	yes	maximal, characteristic, complemented
22	#20246100	C₂	1	1	yes	maximal, characteristic, complemented
23	#20246094	C₂	1	1	yes	maximal, characteristic, complemented
24	#20246078	C₂	1	1	yes	maximal, characteristic
25	#20246067	C₂	1	1	yes	maximal, characteristic, complemented
26	#20246055	C₂	1	1	yes	maximal, characteristic, complemented
27	#20245992	C₂	1	1	yes	maximal, characteristic, complemented
28	#20245920	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#13093996	C₂	1	1	yes	maximal, characteristic
30	#20245867	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#2322	C₂	1	1	yes	maximal, characteristic, complemented
32	#15689741	C₄	1	16	yes	complemented
33	C₂×#13094023	C₂²	1	1	yes	characteristic
34	C₂×#13094019	C₂²	1	1	yes	characteristic
35	C₂×#13094017	C₂²	1	1	yes	characteristic
36	C₂×#13094011	C₂²	1	1	yes	characteristic
37	C₂×#13094010	C₂²	1	1	yes	characteristic
38	C₂×#13094010	C₂²	1	1	yes	characteristic
39	C₂×#13094006	C₂²	1	1	yes	characteristic
40	C₂×#13094003	C₂²	1	1	yes	characteristic
41	C₂×#13094002	C₂²	1	1	yes	characteristic
42	C₂×#13094001	C₂²	1	1	yes	characteristic
43	C₂×#13093996	C₂²	1	1	yes	characteristic
44	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic
45	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic
46	C₂×#13093989	C₂²	1	1	yes	characteristic
47	C₂×#13093989	C₂²	1	1	yes	characteristic
48	C₂×#13093989	C₂²	1	1	yes	characteristic
49	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
50	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
51	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
52	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
53	C₂×#13093980	C₂²	1	1	yes	characteristic
54	C₂×#13093980	C₂²	1	1	yes	characteristic
55	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
56	C₂²×C₄×Dic₄₇	C₂²	1	1	yes	characteristic
57	#15689028	C₂²	1	1	yes	characteristic
58	#15689028	C₂²	1	1	yes	characteristic
59	#15689027	C₂²	1	1	yes	characteristic
60	#15689027	C₂²	1	1	yes	characteristic
61	#15689027	C₂²	1	1	yes	characteristic
62	#15689027	C₂²	1	1	yes	characteristic
63	#15689027	C₂²	1	1	yes	characteristic
64	#15689027	C₂²	1	1	yes	characteristic
65	#15689026	C₂²	1	1	yes	characteristic
66	#15689023	C₂²	1	1	yes	characteristic
67	#15689023	C₂²	1	1	yes	characteristic
68	#15689023	C₂²	1	1	yes	characteristic
69	#15689022	C₂²	1	1	yes	characteristic
70	#15689020	C₂²	1	1	yes	characteristic
71	#15689020	C₂²	1	1	yes	characteristic
72	#15689020	C₂²	1	1	yes	characteristic
73	#15689020	C₂²	1	1	yes	characteristic
74	#15689020	C₂²	1	1	yes	characteristic
75	#15689019	C₂²	1	1	yes	characteristic
76	#15689019	C₂²	1	1	yes	characteristic
77	#15689018	C₂²	1	1	yes	characteristic
78	#15689018	C₂²	1	1	yes	characteristic
79	#15689018	C₂²	1	1	yes	characteristic
80	#15689018	C₂²	1	1	yes	characteristic
81	#15689018	C₂²	1	1	yes	characteristic
82	#15689018	C₂²	1	1	yes	characteristic
83	#15689017	C₂²	1	1	yes	characteristic
84	#15689017	C₂²	1	1	yes	characteristic
85	#15689017	C₂²	1	1	yes	characteristic
86	#15689016	C₂²	1	1	yes	characteristic
87	#15689016	C₂²	1	1	yes	characteristic
88	#15689016	C₂²	1	1	yes	characteristic
89	#15689016	C₂²	1	1	yes	characteristic
90	#15689015	C₂²	1	1	yes	characteristic
91	#15689014	C₂²	1	1	yes	characteristic
92	#15689014	C₂²	1	1	yes	characteristic
93	#15689013	C₂²	1	1	yes	characteristic
94	#15689013	C₂²	1	1	yes	characteristic
95	#15689012	C₂²	1	1	yes	characteristic
96	#15689012	C₂²	1	1	yes	characteristic
97	#15689012	C₂²	1	1	yes	characteristic
98	#15689011	C₂²	1	1	yes	characteristic
99	#15689011	C₂²	1	1	yes	characteristic
100	#15689011	C₂²	1	1	yes	characteristic
101	#15689011	C₂²	1	1	yes	characteristic
102	#15689011	C₂²	1	1	yes	characteristic
103	#15689011	C₂²	1	1	yes	characteristic
104	#15689011	C₂²	1	1	yes	characteristic
105	#15689010	C₂²	1	1	yes	characteristic
106	#15689010	C₂²	1	1	yes	characteristic
107	#15689009	C₂²	1	1	yes	characteristic
108	#15689009	C₂²	1	1	yes	characteristic
109	#15689008	C₂²	1	1	yes	characteristic
110	#15689008	C₂²	1	1	yes	characteristic
111	#15689008	C₂²	1	1	yes	characteristic
112	#15689007	C₂²	1	1	yes	characteristic
113	#15689007	C₂²	1	1	yes	characteristic
114	#15689006	C₂²	1	1	yes	characteristic
115	#15689005	C₂²	1	1	yes	characteristic
116	#15689004	C₂²	1	1	yes	characteristic
117	#15689004	C₂²	1	1	yes	characteristic
118	#15689004	C₂²	1	1	yes	characteristic
119	#15689003	C₂²	1	1	yes	characteristic
120	#15689000	C₂²	1	1	yes	characteristic
121	#15688999	C₂²	1	1	yes	characteristic
122	#15688998	C₂²	1	1	yes	characteristic
123	#15688997	C₂²	1	1	yes	characteristic
124	#15688997	C₂²	1	1	yes	characteristic
125	#15688996	C₂²	1	1	yes	characteristic
126	#15688996	C₂²	1	1	yes	characteristic
127	#15688996	C₂²	1	1	yes	characteristic
128	#15688996	C₂²	1	1	yes	characteristic
129	#15688996	C₂²	1	1	yes	characteristic
130	#15688996	C₂²	1	1	yes	characteristic
131	#15688995	C₂²	1	1	yes	characteristic
132	#15688994	C₂²	1	1	yes	characteristic
133	#15688994	C₂²	1	1	yes	characteristic
134	#15688994	C₂²	1	1	yes	characteristic
135	#15688992	C₂²	1	1	yes	characteristic
136	#15688992	C₂²	1	1	yes	characteristic
137	#15688992	C₂²	1	1	yes	characteristic
138	#15688990	C₂²	1	1	yes	characteristic
139	#15688990	C₂²	1	1	yes	characteristic
140	#15688987	C₂²	1	1	yes	characteristic
141	#15688985	C₂²	1	1	yes	characteristic
142	#15688983	C₂²	1	1	yes	characteristic
143	#15688981	C₂²	1	1	yes	characteristic
144	#15688981	C₂²	1	1	yes	characteristic
145	#15688980	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
149	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
150	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
151	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
152	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
153	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
154	#15688974	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	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊Dic₄₇	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	#15688969	C₂²	1	1	yes	characteristic
172	#15688968	C₂²	1	1	yes	characteristic
173	C₂×#123×C₄₇	C₂²	1	1	yes	characteristic
174	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
175	C₂²×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
176	C₄₇×#389	C₂²	1	1	yes	characteristic
177	C₄₇×#389	C₂²	1	1	yes	characteristic
178	C₄₇×#388	C₂²	1	1	yes	characteristic
179	C₄₇×#388	C₂²	1	1	yes	characteristic
180	C₄₇×#387	C₂²	1	1	yes	characteristic
181	C₄₇×#387	C₂²	1	1	yes	characteristic
182	C₄₇×#386	C₂²	1	1	yes	characteristic
183	C₄₇×#385	C₂²	1	1	yes	characteristic
184	C₄₇×#385	C₂²	1	1	yes	characteristic
185	C₄₇×#385	C₂²	1	1	yes	characteristic
186	C₄₇×#381	C₂²	1	1	yes	characteristic
187	C₄×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
188	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
189	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
190	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
193	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
194	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
198	#13094023	C₂×C₄	1	8	yes	complemented
199	#13094019	C₂×C₄	1	8	yes	complemented
200	#13094017	C₂×C₄	1	8	yes	complemented
201	#13094011	C₂×C₄	1	8	yes	complemented
202	#13094010	C₂×C₄	1	8	yes	complemented
203	#13094010	C₂×C₄	1	8	yes	complemented
204	#13094006	C₂×C₄	1	8	yes	complemented
205	#13094003	C₂×C₄	1	8	yes	complemented
206	#13094002	C₂×C₄	1	8	yes	complemented
207	#13094001	C₂×C₄	1	8	yes	complemented
208	#13093996	C₂×C₄	1	8	yes	—
209	C₄×Dic₉₄	—	4	2	no	—
210	C₄×Dic₉₄	—	4	2	no	—
211	#13093989	—	4	2	no	—
212	#13093989	—	4	2	no	—
213	#13093989	C₂×C₄	1	8	yes	complemented
214	C₄×C₂²⋊D₄₇	—	4	2	no	—
215	C₄×C₂²⋊D₄₇	—	4	2	no	—
216	C₄×C₂²⋊D₄₇	—	4	2	no	—
217	C₄×C₂²⋊D₄₇	C₂×C₄	1	8	yes	complemented
218	#13093980	—	4	2	no	—
219	#13093980	C₂×C₄	1	8	yes	complemented
220	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
227	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₄₇⋊C₄	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	C₄⋊C₄×D₄₇	—	4	2	no	—
252	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₄₇	—	4	2	no	—
275	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
298	C₄₇⋊#95	C₂³	1	1	yes	characteristic
299	C₄₇⋊#95	C₂³	1	1	yes	characteristic
300	C₄₇⋊#95	C₂³	1	1	yes	characteristic
301	C₄₇⋊#95	C₂³	1	1	yes	characteristic
302	C₄₇⋊#95	C₂³	1	1	yes	characteristic
303	C₄₇⋊#95	C₂³	1	1	yes	characteristic
304	C₄₇⋊#95	C₂³	1	1	yes	characteristic
305	C₄₇⋊#95	C₂³	1	1	yes	characteristic
306	C₄₇⋊#95	C₂³	1	1	yes	characteristic
307	C₄₇⋊#95	C₂³	1	1	yes	characteristic
308	C₄₇⋊#95	C₂³	1	1	yes	characteristic
309	C₄₇⋊#95	C₂³	1	1	yes	characteristic
310	C₄₇⋊#95	C₂³	1	1	yes	characteristic
311	C₄₇⋊#95	C₂³	1	1	yes	characteristic
312	C₄₇⋊#95	C₂³	1	1	yes	characteristic
313	C₄₇⋊#95	C₂³	1	1	yes	characteristic
314	C₄₇⋊#95	C₂³	1	1	yes	characteristic
315	C₄₇⋊#95	C₂³	1	1	yes	characteristic
316	C₄₇⋊#95	C₂³	1	1	yes	characteristic
317	C₄₇⋊#95	C₂³	1	1	yes	characteristic
318	C₄₇⋊#95	C₂³	1	1	yes	characteristic
319	C₄₇⋊#95	C₂³	1	1	yes	characteristic
320	C₄₇⋊#95	C₂³	1	1	yes	characteristic
321	C₄₇⋊#95	C₂³	1	1	yes	characteristic
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	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
333	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
334	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
335	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
336	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
337	#123×C₄₇	C₂×C₄	1	8	yes	complemented
338	C₄×D₄×C₄₇	—	4	2	no	—
339	C₂×C₄⋊C₄×C₄₇	—	4	2	no	—
340	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
357	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
358	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
359	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
360	#95×C₄₇	C₂³	1	1	yes	characteristic
361	#95×C₄₇	C₂³	1	1	yes	characteristic
362	#95×C₄₇	C₂³	1	1	yes	characteristic
363	#95×C₄₇	C₂³	1	1	yes	characteristic
364	#95×C₄₇	C₂³	1	1	yes	characteristic
365	#95×C₄₇	C₂³	1	1	yes	characteristic
366	#95×C₄₇	C₂³	1	1	yes	characteristic
367	#95×C₄₇	C₂³	1	1	yes	characteristic
368	#95×C₄₇	C₂³	1	1	yes	characteristic
369	#95×C₄₇	C₂³	1	1	yes	characteristic
370	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
371	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
372	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
373	C₂×D₄×C₄₇	—	4	1	no	—
374	C₂×D₄×C₄₇	—	4	1	no	—
375	C₂×D₄×C₄₇	C₂²×C₄	1	4	yes	—
376	C₂²×C₄×C₄₇	—	2	2	no	—
377	C₂²×C₄×C₄₇	—	2	2	no	—
378	C₂²×C₄×C₄₇	—	4	1	no	—
379	C₂²×C₄×C₄₇	—	4	1	no	—
380	C₂²×C₄×C₄₇	—	4	1	no	—
381	C₂²×C₄×C₄₇	—	4	1	no	—
382	C₂²×C₄×C₄₇	—	4	1	no	—
383	C₂²×C₄×C₄₇	—	4	1	no	—
384	C₂²×C₄×C₄₇	—	4	1	no	—
385	C₂²×C₄×C₄₇	—	4	1	no	—
386	C₂²×C₄×C₄₇	—	4	1	no	—
387	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
388	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₄₇	—	2	2	no	—
402	C₂×C₂²⋊D₄₇	—	2	2	no	—
403	C₂×C₂²⋊D₄₇	—	4	1	no	—
404	C₂×C₂²⋊D₄₇	—	4	1	no	—
405	C₂×C₂²⋊D₄₇	C₂²×C₄	1	4	yes	—
406	C₂×C₂²⋊D₄₇	C₂²×C₄	1	4	yes	—
407	C₂²×Dic₄₇	—	2	2	no	—
408	C₂²×Dic₄₇	—	2	2	no	—
409	C₂²×Dic₄₇	—	2	2	no	—
410	C₂²×Dic₄₇	—	4	1	no	—
411	C₂²×Dic₄₇	—	4	1	no	—
412	C₂²×Dic₄₇	C₂²×C₄	1	4	yes	—
413	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
428	C₂×C₄×D₄₇	—	2	2	no	—
429	C₂×C₄×D₄₇	—	4	1	no	—
430	C₂×C₄×D₄₇	—	4	1	no	—
431	C₂×C₄×D₄₇	—	4	1	no	—
432	C₂×C₄×D₄₇	—	4	1	no	—
433	C₂×C₄×D₄₇	—	4	1	no	—
434	C₂×C₄×D₄₇	—	4	1	no	—
435	C₂×C₄×D₄₇	—	4	1	no	—
436	C₂×C₄×D₄₇	C₂²×C₄	1	4	yes	—
437	C₂×Dic₉₄	—	2	2	no	—
438	C₂×Dic₉₄	—	2	2	no	—
439	C₂×Dic₉₄	—	4	1	no	—
440	C₂×Dic₉₄	—	4	1	no	—
441	C₂×Dic₉₄	—	4	1	no	—
442	C₂×Dic₉₄	—	4	1	no	—
443	C₂×Dic₉₄	C₂²×C₄	1	4	yes	—
444	C₂×Dic₉₄	C₂²×C₄	1	4	yes	—
445	C₂×Dic₉₄	C₂²×C₄	1	4	yes	—
446	C₄⋊C₄×C₄₇	—	2	2	no	—
447	C₄⋊C₄×C₄₇	—	2	2	no	—
448	C₄⋊C₄×C₄₇	—	4	1	no	—
449	C₄⋊C₄×C₄₇	—	4	1	no	—
450	C₄⋊C₄×C₄₇	—	4	1	no	—
451	C₄⋊C₄×C₄₇	—	4	1	no	—
452	C₄⋊C₄×C₄₇	—	4	1	no	—
453	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
454	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
455	C₂²⋊C₄×C₄₇	—	4	1	no	—
456	C₂²⋊C₄×C₄₇	—	4	1	no	—
457	C₂²⋊C₄×C₄₇	—	4	1	no	—
458	C₂²⋊C₄×C₄₇	—	4	1	no	—
459	C₂²⋊C₄×C₄₇	—	4	1	no	—
460	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
461	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
462	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
463	C₄²×C₄₇	—	2	2	no	—
464	C₄²×C₄₇	—	4	1	no	—
465	C₄²×C₄₇	—	4	1	no	—
466	C₂²⋊Dic₄₇	—	2	2	no	—
467	C₂²⋊Dic₄₇	—	4	1	no	—
468	C₂²⋊Dic₄₇	—	4	1	no	—
469	C₂²⋊Dic₄₇	—	4	1	no	—
470	C₂²⋊Dic₄₇	—	4	1	no	—
471	C₂²⋊Dic₄₇	—	4	1	no	—
472	C₂²⋊Dic₄₇	—	4	1	no	—
473	C₂²⋊Dic₄₇	C₂²×C₄	1	4	yes	—
474	C₂²⋊Dic₄₇	C₂²×C₄	1	4	yes	—
475	C₂²⋊Dic₄₇	C₂²×C₄	1	4	yes	—
476	C₂²⋊Dic₄₇	C₂²×C₄	1	4	yes	—
477	C₂²⋊Dic₄₇	C₂²×C₄	1	4	yes	—
478	(C₂×D₄₇)⋊C₄	—	2	2	no	—
479	(C₂×D₄₇)⋊C₄	—	4	1	no	—
480	(C₂×D₄₇)⋊C₄	—	4	1	no	—
481	(C₂×D₄₇)⋊C₄	—	4	1	no	—
482	(C₂×D₄₇)⋊C₄	—	4	1	no	—
483	(C₂×D₄₇)⋊C₄	—	4	1	no	—
484	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
485	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
486	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
487	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
488	C₄⋊Dic₄₇	—	2	2	no	—
489	C₄⋊Dic₄₇	—	4	1	no	—
490	C₄⋊Dic₄₇	—	4	1	no	—
491	C₄⋊Dic₄₇	—	4	1	no	—
492	C₄⋊Dic₄₇	—	4	1	no	—
493	C₄⋊Dic₄₇	C₂²×C₄	1	4	yes	—
494	C₄⋊Dic₄₇	C₂²×C₄	1	4	yes	—
495	Dic₄₇⋊C₄	—	2	2	no	—
496	Dic₄₇⋊C₄	—	2	2	no	—
497	Dic₄₇⋊C₄	—	2	2	no	—
498	Dic₄₇⋊C₄	—	2	2	no	—
499	Dic₄₇⋊C₄	—	2	2	no	—
500	Dic₄₇⋊C₄	—	2	2	no	—
501	Dic₄₇⋊C₄	—	2	2	no	—
502	Dic₄₇⋊C₄	—	4	1	no	—
503	Dic₄₇⋊C₄	—	4	1	no	—
504	Dic₄₇⋊C₄	—	4	1	no	—
505	Dic₄₇⋊C₄	—	4	1	no	—
506	Dic₄₇⋊C₄	—	4	1	no	—
507	Dic₄₇⋊C₄	—	4	1	no	—
508	Dic₄₇⋊C₄	—	4	1	no	—
509	Dic₄₇⋊C₄	—	4	1	no	—
510	Dic₄₇⋊C₄	—	4	1	no	—
511	Dic₄₇⋊C₄	—	4	1	no	—
512	Dic₄₇⋊C₄	—	4	1	no	—
513	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
514	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
515	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
516	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
517	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
518	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
519	C₄×Dic₄₇	—	2	2	no	—
520	C₄×Dic₄₇	—	2	2	no	—
521	C₄×Dic₄₇	—	2	2	no	—
522	C₄×Dic₄₇	—	2	2	no	—
523	C₄×Dic₄₇	—	2	2	no	—
524	C₄×Dic₄₇	—	4	1	no	—
525	C₄×Dic₄₇	—	4	1	no	—
526	C₄×Dic₄₇	—	4	1	no	—
527	C₄×Dic₄₇	—	4	1	no	—
528	C₄×Dic₄₇	—	4	1	no	—
529	C₄×Dic₄₇	—	4	1	no	—
530	C₄×Dic₄₇	—	4	1	no	—
531	C₄×Dic₄₇	—	4	1	no	—
532	C₄×Dic₄₇	—	4	1	no	—
533	C₄×Dic₄₇	—	4	1	no	—
534	C₄×Dic₄₇	—	4	1	no	—
535	C₄×Dic₄₇	—	4	1	no	—
536	C₄×Dic₄₇	—	4	1	no	—
537	C₄×Dic₄₇	—	4	1	no	—
538	C₄×Dic₄₇	C₂²×C₄	1	4	yes	—
539	C₄×Dic₄₇	C₂²×C₄	1	4	yes	—
540	C₄×Dic₄₇	C₂²×C₄	1	4	yes	—
541	C₄×Dic₄₇	C₂²×C₄	1	4	yes	—
542	C₂³×C₄₇	—	2	1	no	—
543	C₂³×C₄₇	—	2	1	no	—
544	C₂³×C₄₇	—	2	1	no	—
545	C₂³×C₄₇	—	2	1	no	—
546	C₂³×C₄₇	—	2	1	no	—
547	C₂³×C₄₇	—	2	1	no	—
548	C₂³×C₄₇	—	2	1	no	—
549	C₂³×C₄₇	—	2	1	no	—
550	C₂³×C₄₇	—	2	1	no	—
551	C₂³×C₄₇	—	2	1	no	—
552	C₂³×C₄₇	—	2	1	no	—
553	C₂³×C₄₇	—	2	1	no	—
554	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
555	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
556	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
557	C₂²×D₄₇	—	2	1	no	—
558	C₂²×D₄₇	—	2	1	no	—
559	C₂²×D₄₇	—	2	1	no	—
560	C₂²×D₄₇	—	2	1	no	—
561	C₂²×D₄₇	—	2	1	no	—
562	C₂²×D₄₇	—	2	1	no	—
563	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
564	D₄×C₄₇	—	4	4	no	—
565	C₂×C₄×C₄₇	—	2	1	no	—
566	C₂×C₄×C₄₇	—	2	1	no	—
567	C₂×C₄×C₄₇	—	2	1	no	—
568	C₂×C₄×C₄₇	—	2	1	no	—
569	C₂×C₄×C₄₇	—	2	1	no	—
570	C₂×C₄×C₄₇	—	2	1	no	—
571	C₂×C₄×C₄₇	—	2	1	no	—
572	C₂×C₄×C₄₇	—	2	1	no	—
573	C₂×C₄×C₄₇	—	2	1	no	—
574	C₂×C₄×C₄₇	—	2	1	no	—
575	C₂×C₄×C₄₇	—	2	1	no	—
576	C₂×C₄×C₄₇	—	2	1	no	—
577	C₂×C₄×C₄₇	—	2	1	no	—
578	C₂×C₄×C₄₇	—	2	1	no	—
579	C₂×C₄×C₄₇	—	2	1	no	—
580	C₂×C₄×C₄₇	—	2	1	no	—
581	C₂×C₄×C₄₇	—	2	1	no	—
582	C₂×C₄×C₄₇	—	2	1	no	—
583	C₂×C₄×C₄₇	—	2	1	no	—
584	C₂×C₄×C₄₇	—	2	1	no	—
585	C₂×C₄×C₄₇	—	2	1	no	—
586	C₂×C₄×C₄₇	—	2	1	no	—
587	C₂×C₄×C₄₇	—	2	1	no	—
588	C₂×C₄×C₄₇	—	2	1	no	—
589	C₂×C₄×C₄₇	—	2	1	no	—
590	C₂×C₄×C₄₇	—	2	1	no	—
591	C₂×C₄×C₄₇	—	2	1	no	—
592	C₂×C₄×C₄₇	—	2	1	no	—
593	C₂×C₄×C₄₇	—	2	1	no	—
594	C₂×C₄×C₄₇	—	2	1	no	—
595	C₂×C₄×C₄₇	—	2	1	no	—
596	C₂×C₄×C₄₇	—	2	1	no	—
597	C₂×C₄×C₄₇	—	2	1	no	—
598	C₂×C₄×C₄₇	—	4	4	no	—
599	C₂×C₄×C₄₇	—	4	4	no	—
600	C₂×C₄×C₄₇	—	8	2	no	—
601	C₂×C₄×C₄₇	—	8	2	no	—
602	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
603	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
604	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
605	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
606	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
607	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
608	C₂²⋊D₄₇	—	2	8	no	—
609	C₂²⋊D₄₇	—	4	4	no	—
610	C₂×Dic₄₇	—	2	1	no	—
611	C₂×Dic₄₇	—	2	1	no	—
612	C₂×Dic₄₇	—	2	1	no	—
613	C₂×Dic₄₇	—	2	1	no	—
614	C₂×Dic₄₇	—	2	1	no	—
615	C₂×Dic₄₇	—	2	1	no	—
616	C₂×Dic₄₇	—	2	1	no	—
617	C₂×Dic₄₇	—	2	1	no	—
618	C₂×Dic₄₇	—	2	1	no	—
619	C₂×Dic₄₇	—	2	1	no	—
620	C₂×Dic₄₇	—	2	1	no	—
621	C₂×Dic₄₇	—	2	1	no	—
622	C₂×Dic₄₇	—	2	1	no	—
623	C₂×Dic₄₇	—	2	1	no	—
624	C₂×Dic₄₇	—	2	8	no	—
625	C₂×Dic₄₇	—	2	1	no	—
626	C₂×Dic₄₇	—	2	1	no	—
627	C₂×Dic₄₇	—	2	1	no	—
628	C₂×Dic₄₇	—	2	1	no	—
629	C₂×Dic₄₇	—	2	1	no	—
630	C₂×Dic₄₇	—	2	1	no	—
631	C₂×Dic₄₇	—	2	1	no	—
632	C₂×Dic₄₇	—	2	1	no	—
633	C₂×Dic₄₇	—	2	1	no	—
634	C₂×Dic₄₇	—	2	1	no	—
635	C₂×Dic₄₇	—	2	1	no	—
636	C₂×Dic₄₇	—	2	1	no	—
637	C₂×Dic₄₇	—	2	1	no	—
638	C₂×Dic₄₇	—	2	1	no	—
639	C₂×Dic₄₇	—	2	1	no	—
640	C₂×Dic₄₇	—	2	1	no	—
641	C₂×Dic₄₇	—	2	1	no	—
642	C₂×Dic₄₇	—	2	1	no	—
643	C₂×Dic₄₇	—	2	1	no	—
644	C₂×Dic₄₇	—	2	1	no	—
645	C₂×Dic₄₇	—	2	1	no	—
646	C₂×Dic₄₇	—	4	4	no	—
647	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
648	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
649	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
650	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
651	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
652	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
653	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
654	C₂×Dic₄₇	H(5,𝔽₂)	1	2	yes	—
655	C₂×Dic₄₇	2₋¹⁺⁴	1	2	yes	—
656	C₂×Dic₄₇	2₋¹⁺⁴	1	2	yes	—
657	C₄×D₄₇	—	4	4	no	—
658	C₄×D₄₇	—	8	2	no	—
659	C₄×D₄₇	—	8	2	no	—
660	Dic₉₄	—	2	8	no	—
661	Dic₉₄	—	4	4	no	—
662	Dic₉₄	—	4	4	no	—
663	#34422	—	47	1	no	maximal, Sylow
664	C₂²×C₄₇	—	2	2	no	—
665	C₂²×C₄₇	—	2	2	no	—
666	C₂²×C₄₇	—	2	2	no	—
667	C₂²×C₄₇	—	2	2	no	—
668	C₂²×C₄₇	—	2	2	no	—
669	C₂²×C₄₇	—	2	2	no	—
670	C₂²×C₄₇	—	4	1	no	—
671	C₂²×C₄₇	—	4	1	no	—
672	C₂²×C₄₇	—	4	1	no	—
673	C₂²×C₄₇	—	4	1	no	—
674	C₂²×C₄₇	—	4	1	no	—
675	C₂²×C₄₇	—	4	1	no	—
676	C₂²×C₄₇	—	4	1	no	—
677	C₂²×C₄₇	—	4	1	no	—
678	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
679	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
680	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
681	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
682	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
683	C₂²×C₄₇	#585	1	1	yes	characteristic
684	C₂²×C₄₇	#585	1	1	yes	characteristic
685	C₂×D₄₇	—	2	2	no	—
686	C₂×D₄₇	—	2	2	no	—
687	C₂×D₄₇	—	2	2	no	—
688	C₂×D₄₇	—	4	1	no	—
689	C₂×D₄₇	—	4	1	no	—
690	C₂×D₄₇	—	4	1	no	—
691	C₂×D₄₇	—	4	1	no	—
692	C₄×C₄₇	—	2	2	no	—
693	C₄×C₄₇	—	2	2	no	—
694	C₄×C₄₇	—	2	2	no	—
695	C₄×C₄₇	—	2	2	no	—
696	C₄×C₄₇	—	2	2	no	—
697	C₄×C₄₇	—	2	2	no	—
698	C₄×C₄₇	—	4	1	no	—
699	C₄×C₄₇	—	4	1	no	—
700	C₄×C₄₇	—	4	1	no	—
701	C₄×C₄₇	—	4	1	no	—
702	C₄×C₄₇	—	4	1	no	—
703	C₄×C₄₇	—	4	1	no	—
704	C₄×C₄₇	—	4	1	no	—
705	Dic₄₇	—	2	2	no	—
706	Dic₄₇	—	2	2	no	—
707	Dic₄₇	—	2	2	no	—
708	Dic₄₇	—	2	2	no	—
709	Dic₄₇	—	2	2	no	—
710	Dic₄₇	—	2	2	no	—
711	Dic₄₇	—	2	2	no	—
712	Dic₄₇	—	4	1	no	—
713	Dic₄₇	—	4	1	no	—
714	Dic₄₇	—	4	1	no	—
715	Dic₄₇	—	4	1	no	—
716	Dic₄₇	—	4	1	no	—
717	Dic₄₇	—	4	1	no	—
718	Dic₄₇	—	4	1	no	—
719	Dic₄₇	#520	1	4	yes	—
720	C₂×#542	—	47	1	no	—
721	#2383	—	47	1	no	—
722	#2383	—	47	1	no	—
723	#2378	—	47	1	no	—
724	#2378	—	47	1	no	—
725	#2373	—	47	1	no	—
726	#2373	—	47	1	no	—
727	#2369	—	47	1	no	—
728	#2367	—	47	1	no	—
729	#2367	—	47	1	no	—
730	#2365	—	47	1	no	—
731	#2360	—	47	1	no	—
732	#2360	—	47	1	no	—
733	#2357	—	47	1	no	—
734	#2356	—	47	1	no	—
735	Q₈×C₄⋊C₄	—	47	1	no	—
736	D₄×C₄⋊C₄	—	47	1	no	—
737	#2337	—	47	1	no	—
738	#2337	—	47	1	no	—
739	#2335	—	47	1	no	—
740	#2335	—	47	1	no	—
741	#2326	—	47	1	no	—
742	#2326	—	47	1	no	—
743	#2324	—	47	1	no	—
744	#2323	—	47	1	no	—
745	#2322	—	47	1	no	—
746	#2322	D₄₇	1	1	yes	characteristic, complemented
747	#2314	—	47	1	no	—
748	C₄×C₂²⋊Q₈	—	47	1	no	—
749	C₄×#121	—	47	1	no	—
750	#2296	—	47	1	no	—
751	C₂×C₄₇	—	4	2	no	—
752	C₂×C₄₇	—	4	2	no	—
753	C₂×C₄₇	C₂×#520	1	1	yes	characteristic
754	C₂×C₄₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
755	C₂×C₄₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
756	C₂×C₄₇	#3541	1	1	yes	characteristic
757	C₂×C₄₇	#3542	1	1	yes	characteristic
758	C₂×C₄₇	#3550	1	1	yes	characteristic
759	C₂×C₄₇	#3557	1	1	yes	characteristic
760	D₄₇	—	4	2	no	—
761	#542	—	47	16	no	—
762	C₂×C₄⋊Q₈	—	47	1	no	—
763	C₂×#126	—	47	1	no	—
764	C₂×#126	—	47	1	no	—
765	C₂×#124	—	47	1	no	—
766	C₂×#124	—	47	1	no	—
767	C₂×#124	—	47	1	no	—
768	C₂×#123	—	47	1	no	—
769	C₂×#123	C₂×D₄₇	1	1	yes	characteristic
770	C₂×C₂²⋊Q₈	—	47	1	no	—
771	C₂×C₂²⋊Q₈	—	47	1	no	—
772	C₂×C₂²⋊Q₈	—	47	1	no	—
773	C₂×#121	—	47	1	no	—
774	C₂×C₄×Q₈	—	47	1	no	—
775	C₂×C₄×Q₈	—	47	1	no	—
776	C₂×C₄×Q₈	—	47	1	no	—
777	C₂×C₄×Q₈	—	47	1	no	—
778	C₂×C₄×Q₈	—	47	1	no	—
779	C₂×C₄×D₄	—	47	1	no	—
780	C₂×C₄×D₄	—	47	1	no	—
781	C₂×C₄×D₄	—	47	1	no	—
782	C₂×C₄×D₄	—	47	1	no	—
783	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
784	C₂×#117	—	47	1	no	—
785	C₂×#117	—	47	1	no	—
786	C₂²×C₄⋊C₄	—	47	1	no	—
787	C₂²×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
788	C₂²×C₄²	—	47	1	no	—
789	#391	—	47	1	no	—
790	#391	—	47	1	no	—
791	#391	—	47	1	no	—
792	#391	—	47	1	no	—
793	#391	—	47	1	no	—
794	#391	—	47	1	no	—
795	#391	—	47	1	no	—
796	#391	—	47	1	no	—
797	#390	—	47	1	no	—
798	#390	—	47	1	no	—
799	#390	—	47	1	no	—
800	#390	—	47	1	no	—
801	#389	—	47	1	no	—
802	#389	—	47	1	no	—
803	#389	—	47	1	no	—
804	#389	—	47	1	no	—
805	#389	—	47	1	no	—
806	#389	—	47	1	no	—
807	#389	—	47	1	no	—
808	#389	—	47	1	no	—
809	#389	—	47	1	no	—
810	#389	—	47	1	no	—
811	#389	—	47	1	no	—
812	#389	—	47	1	no	—
813	#389	—	47	1	no	—
814	#389	—	47	1	no	—
815	#389	C₂×D₄₇	1	1	yes	characteristic
816	#389	C₂×D₄₇	1	1	yes	characteristic
817	#388	—	47	1	no	—
818	#388	—	47	1	no	—
819	#388	—	47	1	no	—
820	#388	—	47	1	no	—
821	#388	—	47	1	no	—
822	#388	—	47	1	no	—
823	#388	—	47	1	no	—
824	#388	—	47	1	no	—
825	#388	—	47	1	no	—
826	#388	—	47	1	no	—
827	#388	—	47	1	no	—
828	#388	—	47	1	no	—
829	#388	—	47	1	no	—
830	#388	—	47	1	no	—
831	#388	—	47	1	no	—
832	#388	—	47	1	no	—
833	#388	—	47	1	no	—
834	#388	—	47	1	no	—
835	#388	—	47	1	no	—
836	#388	—	47	1	no	—
837	#388	—	47	1	no	—
838	#388	—	47	1	no	—
839	#388	C₂×D₄₇	1	1	yes	characteristic
840	#388	C₂×D₄₇	1	1	yes	characteristic
841	#387	—	47	1	no	—
842	#387	—	47	1	no	—
843	#387	—	47	1	no	—
844	#387	—	47	1	no	—
845	#387	—	47	1	no	—
846	#387	—	47	1	no	—
847	#387	—	47	1	no	—
848	#387	—	47	1	no	—
849	#387	—	47	1	no	—
850	#387	—	47	1	no	—
851	#387	—	47	1	no	—
852	#387	—	47	1	no	—
853	#387	—	47	1	no	—
854	#387	—	47	1	no	—
855	#387	C₂×D₄₇	1	1	yes	characteristic
856	#387	C₂×D₄₇	1	1	yes	characteristic
857	#386	—	47	1	no	—
858	#386	—	47	1	no	—
859	#386	—	47	1	no	—
860	#386	C₂×D₄₇	1	1	yes	characteristic
861	#385	—	47	1	no	—
862	#385	—	47	1	no	—
863	#385	—	47	1	no	—
864	#385	—	47	1	no	—
865	#385	—	47	1	no	—
866	#385	—	47	1	no	—
867	#385	—	47	1	no	—
868	#385	—	47	1	no	—
869	#385	—	47	1	no	—
870	#385	—	47	1	no	—
871	#385	—	47	1	no	—
872	#385	—	47	1	no	—
873	#385	—	47	1	no	—
874	#385	C₂×D₄₇	1	1	yes	characteristic
875	#385	C₂×D₄₇	1	1	yes	characteristic
876	#385	C₂×D₄₇	1	1	yes	characteristic
877	#384	—	47	1	no	—
878	#384	—	47	1	no	—
879	#384	—	47	1	no	—
880	#383	—	47	1	no	—
881	#383	—	47	1	no	—
882	#382	—	47	1	no	—
883	#381	—	47	1	no	—
884	#381	C₂×D₄₇	1	1	yes	characteristic
885	#380	—	47	1	no	—
886	#380	—	47	1	no	—
887	#380	—	47	1	no	—
888	#380	—	47	1	no	—
889	C₄×C₄⋊C₄	—	47	1	no	—
890	C₄×C₄⋊C₄	—	47	1	no	—
891	C₄×C₄⋊C₄	—	47	1	no	—
892	C₄×C₄⋊C₄	—	47	1	no	—
893	C₄×C₄⋊C₄	—	47	1	no	—
894	C₄×C₄⋊C₄	—	47	1	no	—
895	C₄×C₄⋊C₄	—	47	1	no	—
896	C₄×C₄⋊C₄	—	47	1	no	—
897	C₄×C₄⋊C₄	—	47	1	no	—
898	C₄×C₄⋊C₄	—	47	1	no	—
899	C₄×C₄⋊C₄	—	47	1	no	—
900	C₄×C₄⋊C₄	—	47	1	no	—
901	C₄×C₄⋊C₄	—	47	1	no	—
902	C₄×C₄⋊C₄	—	47	1	no	—
903	C₄×C₄⋊C₄	—	47	1	no	—
904	C₄×C₄⋊C₄	—	47	1	no	—
905	C₄×C₂²⋊C₄	—	47	1	no	—
906	C₄×C₂²⋊C₄	—	47	1	no	—
907	C₄×C₂²⋊C₄	—	47	1	no	—
908	C₄×C₂²⋊C₄	—	47	1	no	—
909	C₄×C₂²⋊C₄	—	47	1	no	—
910	C₄×C₂²⋊C₄	—	47	1	no	—
911	C₄×C₂²⋊C₄	—	47	1	no	—
912	C₄×C₂²⋊C₄	—	47	1	no	—
913	C₄×C₂²⋊C₄	—	47	1	no	—
914	C₄×C₂²⋊C₄	C₂×D₄₇	1	1	yes	characteristic
915	#376	—	47	1	no	—
916	#376	—	47	1	no	—
917	C₄₇	#34422	1	1	yes	characteristic, complemented, Sylow
918	C₂²×Q₈	—	47	1	no	—
919	C₂²×Q₈	—	47	1	no	—
920	C₂²×Q₈	—	47	1	no	—
921	C₂²×D₄	—	47	1	no	—
922	C₂²×D₄	—	47	1	no	—
923	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
924	C₂³×C₄	—	47	1	no	—
925	C₂³×C₄	—	47	1	no	—
926	C₂³×C₄	—	47	1	no	—
927	C₂³×C₄	—	47	1	no	—
928	C₂³×C₄	—	47	1	no	—
929	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
930	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
931	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
932	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
933	C₄⋊Q₈	—	47	8	no	—
934	#126	—	47	8	no	—
935	#126	—	47	8	no	—
936	#124	—	47	8	no	—
937	#124	—	47	8	no	—
938	#124	—	47	8	no	—
939	#123	—	47	8	no	—
940	#123	C₄×D₄₇	1	8	yes	complemented
941	C₂²⋊Q₈	—	47	8	no	—
942	C₂²⋊Q₈	—	47	8	no	—
943	C₂²⋊Q₈	—	47	8	no	—
944	#121	—	47	8	no	—
945	C₄×Q₈	—	47	8	no	—
946	C₄×Q₈	—	188	2	no	—
947	C₄×Q₈	—	188	2	no	—
948	C₄×Q₈	—	188	2	no	—
949	C₄×Q₈	—	188	2	no	—
950	C₄×D₄	—	4	2	no	—
951	C₄×D₄	—	47	8	no	—
952	C₄×D₄	—	188	2	no	—
953	C₄×D₄	—	188	2	no	—
954	C₄×D₄	—	188	2	no	—
955	#117	—	47	8	no	—
956	#117	—	188	2	no	—
957	C₂×C₄⋊C₄	—	4	2	no	—
958	C₂×C₄⋊C₄	—	47	1	no	—
959	C₂×C₄⋊C₄	—	47	1	no	—
960	C₂×C₄⋊C₄	—	47	1	no	—
961	C₂×C₄⋊C₄	—	47	1	no	—
962	C₂×C₄⋊C₄	—	47	1	no	—
963	C₂×C₄⋊C₄	—	47	1	no	—
964	C₂×C₄⋊C₄	—	47	1	no	—
965	C₂×C₄⋊C₄	—	47	1	no	—
966	C₂×C₄⋊C₄	—	47	1	no	—
967	C₂×C₄⋊C₄	—	47	1	no	—
968	C₂×C₄⋊C₄	—	47	1	no	—
969	C₂×C₄⋊C₄	—	47	1	no	—
970	C₂×C₄⋊C₄	—	47	1	no	—
971	C₂×C₄⋊C₄	—	47	1	no	—
972	C₂×C₄⋊C₄	—	47	1	no	—
973	C₂×C₄⋊C₄	—	47	1	no	—
974	C₂×C₄⋊C₄	—	47	1	no	—
975	C₂×C₄⋊C₄	—	47	1	no	—
976	C₂×C₄⋊C₄	—	47	1	no	—
977	C₂×C₄⋊C₄	—	47	1	no	—
978	C₂×C₄⋊C₄	—	47	1	no	—
979	C₂×C₄⋊C₄	—	47	1	no	—
980	C₂×C₄⋊C₄	—	47	1	no	—
981	C₂×C₄⋊C₄	—	47	1	no	—
982	C₂×C₄⋊C₄	—	47	1	no	—
983	C₂×C₄⋊C₄	—	47	1	no	—
984	C₂×C₄⋊C₄	—	47	1	no	—
985	C₂×C₄⋊C₄	—	47	1	no	—
986	C₂×C₄⋊C₄	—	47	1	no	—
987	C₂×C₄⋊C₄	—	47	1	no	—
988	C₂×C₄⋊C₄	—	47	1	no	—
989	C₂×C₄⋊C₄	—	188	2	no	—
990	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
992	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
993	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
999	C₂×C₂²⋊C₄	—	47	1	no	—
1000	C₂×C₂²⋊C₄	—	47	1	no	—
1001	C₂×C₂²⋊C₄	—	47	1	no	—
1002	C₂×C₂²⋊C₄	—	47	1	no	—
1003	C₂×C₂²⋊C₄	—	47	1	no	—
1004	C₂×C₂²⋊C₄	—	47	1	no	—
1005	C₂×C₂²⋊C₄	—	47	1	no	—
1006	C₂×C₂²⋊C₄	—	47	1	no	—
1007	C₂×C₂²⋊C₄	—	47	1	no	—
1008	C₂×C₂²⋊C₄	—	47	1	no	—
1009	C₂×C₂²⋊C₄	—	47	1	no	—
1010	C₂×C₂²⋊C₄	—	47	1	no	—
1011	C₂×C₂²⋊C₄	—	47	1	no	—
1012	C₂×C₂²⋊C₄	—	47	1	no	—
1013	C₂×C₂²⋊C₄	—	47	1	no	—
1014	C₂×C₂²⋊C₄	—	47	1	no	—
1015	C₂×C₂²⋊C₄	—	47	1	no	—
1016	C₂×C₂²⋊C₄	—	47	1	no	—
1017	C₂×C₂²⋊C₄	—	47	1	no	—
1018	C₂×C₂²⋊C₄	—	47	1	no	—
1019	C₂×C₂²⋊C₄	—	47	1	no	—
1020	C₂×C₂²⋊C₄	—	47	1	no	—
1021	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1025	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1029	C₂×C₄²	—	47	1	no	—
1030	C₂×C₄²	—	47	1	no	—
1031	C₂×C₄²	—	47	1	no	—
1032	C₂×C₄²	—	47	1	no	—
1033	C₂×C₄²	—	47	1	no	—
1034	C₂×C₄²	—	47	1	no	—
1035	C₂×C₄²	—	47	1	no	—
1036	C₂×C₄²	—	47	1	no	—
1037	C₂×C₄²	—	47	1	no	—
1038	C₂×C₄²	—	47	1	no	—
1039	C₂×C₄²	—	47	1	no	—
1040	C₂×C₄²	—	47	1	no	—
1041	C₂×C₄²	—	47	1	no	—
1042	C₂×C₄²	—	47	1	no	—
1043	C₂×C₄²	—	47	1	no	—
1044	C₂×C₄²	—	47	1	no	—
1045	C₂×C₄²	—	47	1	no	—
1046	C₂×C₄²	—	47	1	no	—
1047	C₂×C₄²	—	47	1	no	—
1048	C₂×C₄²	—	47	1	no	—
1049	C₂×C₄²	—	47	1	no	—
1050	C₂×C₄²	—	47	1	no	—
1051	C₂×C₄²	—	47	1	no	—
1052	C₂×C₄²	—	188	2	no	—
1053	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1054	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1055	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1056	#95	—	47	1	no	—
1057	#95	—	47	1	no	—
1058	#95	—	47	1	no	—
1059	#95	—	47	1	no	—
1060	#95	—	47	1	no	—
1061	#95	—	47	1	no	—
1062	#95	—	47	1	no	—
1063	#95	—	47	1	no	—
1064	#95	—	47	1	no	—
1065	#95	—	47	1	no	—
1066	#95	—	47	1	no	—
1067	#95	—	47	1	no	—
1068	#95	—	47	1	no	—
1069	#95	—	47	1	no	—
1070	#95	—	47	1	no	—
1071	#95	—	47	1	no	—
1072	#95	—	47	1	no	—
1073	#95	—	47	1	no	—
1074	#95	—	47	1	no	—
1075	#95	—	47	1	no	—
1076	#95	—	47	1	no	—
1077	#95	—	47	1	no	—
1078	#95	—	47	1	no	—
1079	#95	—	47	1	no	—
1080	#95	—	47	1	no	—
1081	#95	—	47	1	no	—
1082	#95	—	47	1	no	—
1083	#95	—	47	1	no	—
1084	#95	—	47	1	no	—
1085	#95	—	47	1	no	—
1086	#95	—	47	1	no	—
1087	#95	—	47	1	no	—
1088	#95	—	47	1	no	—
1089	#95	—	47	1	no	—
1090	#95	C₂²×D₄₇	1	1	yes	characteristic
1091	#95	C₂²×D₄₇	1	1	yes	characteristic
1092	#95	C₂²×D₄₇	1	1	yes	characteristic
1093	#95	C₂²×D₄₇	1	1	yes	characteristic
1094	#95	C₂²×D₄₇	1	1	yes	characteristic
1095	#95	C₂²×D₄₇	1	1	yes	characteristic
1096	#95	C₂²×D₄₇	1	1	yes	characteristic
1097	#95	C₂²×D₄₇	1	1	yes	characteristic
1098	#95	C₂²×D₄₇	1	1	yes	characteristic
1099	#95	C₂²×D₄₇	1	1	yes	characteristic
1100	C₂⁴	—	47	1	no	—
1101	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1102	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1103	C₂×Q₈	—	47	4	no	—
1104	C₂×Q₈	—	47	4	no	—
1105	C₂×Q₈	—	47	4	no	—
1106	C₂×Q₈	—	94	2	no	—
1107	C₂×Q₈	—	94	2	no	—
1108	C₂×Q₈	—	188	1	no	—
1109	C₂×Q₈	—	188	1	no	—
1110	C₂×Q₈	—	188	1	no	—
1111	C₂×Q₈	—	188	1	no	—
1112	C₂×D₄	—	4	1	no	—
1113	C₂×D₄	—	4	1	no	—
1114	C₂×D₄	—	47	4	no	—
1115	C₂×D₄	—	47	4	no	—
1116	C₂×D₄	—	94	2	no	—
1117	C₂×D₄	—	94	2	no	—
1118	C₂×D₄	—	188	1	no	—
1119	C₂×D₄	—	188	1	no	—
1120	C₂×D₄	C₂×C₄×D₄₇	1	4	yes	—
1121	C₂²×C₄	—	2	2	no	—
1122	C₂²×C₄	—	2	2	no	—
1123	C₂²×C₄	—	4	1	no	—
1124	C₂²×C₄	—	4	1	no	—
1125	C₂²×C₄	—	4	1	no	—
1126	C₂²×C₄	—	4	1	no	—
1127	C₂²×C₄	—	4	1	no	—
1128	C₂²×C₄	—	4	1	no	—
1129	C₂²×C₄	—	4	1	no	—
1130	C₂²×C₄	—	4	1	no	—
1131	C₂²×C₄	—	4	1	no	—
1132	C₂²×C₄	—	47	1	no	—
1133	C₂²×C₄	—	47	4	no	—
1134	C₂²×C₄	—	47	1	no	—
1135	C₂²×C₄	—	47	1	no	—
1136	C₂²×C₄	—	47	1	no	—
1137	C₂²×C₄	—	47	1	no	—
1138	C₂²×C₄	—	47	1	no	—
1139	C₂²×C₄	—	47	1	no	—
1140	C₂²×C₄	—	47	1	no	—
1141	C₂²×C₄	—	47	4	no	—
1142	C₂²×C₄	—	47	1	no	—
1143	C₂²×C₄	—	47	1	no	—
1144	C₂²×C₄	—	47	1	no	—
1145	C₂²×C₄	—	47	1	no	—
1146	C₂²×C₄	—	47	1	no	—
1147	C₂²×C₄	—	47	1	no	—
1148	C₂²×C₄	—	47	1	no	—
1149	C₂²×C₄	—	94	2	no	—
1150	C₂²×C₄	—	94	2	no	—
1151	C₂²×C₄	—	94	2	no	—
1152	C₂²×C₄	—	94	2	no	—
1153	C₂²×C₄	—	188	1	no	—
1154	C₂²×C₄	—	188	1	no	—
1155	C₂²×C₄	—	188	1	no	—
1156	C₂²×C₄	—	188	1	no	—
1157	C₂²×C₄	—	188	1	no	—
1158	C₂²×C₄	—	188	1	no	—
1159	C₂²×C₄	—	188	1	no	—
1160	C₂²×C₄	—	188	1	no	—
1161	C₂²×C₄	—	188	1	no	—
1162	C₂²×C₄	C₂×C₄×D₄₇	1	4	yes	—
1163	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1164	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1165	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1166	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1167	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1168	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1169	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1170	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1171	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1172	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1173	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1174	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1175	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1176	C₄⋊C₄	—	2	2	no	—
1177	C₄⋊C₄	—	2	2	no	—
1178	C₄⋊C₄	—	4	1	no	—
1179	C₄⋊C₄	—	4	1	no	—
1180	C₄⋊C₄	—	4	1	no	—
1181	C₄⋊C₄	—	4	1	no	—
1182	C₄⋊C₄	—	4	1	no	—
1183	C₄⋊C₄	—	47	4	no	—
1184	C₄⋊C₄	—	47	4	no	—
1185	C₄⋊C₄	—	47	4	no	—
1186	C₄⋊C₄	—	47	4	no	—
1187	C₄⋊C₄	—	47	4	no	—
1188	C₄⋊C₄	—	47	4	no	—
1189	C₄⋊C₄	—	47	4	no	—
1190	C₄⋊C₄	—	47	4	no	—
1191	C₄⋊C₄	—	94	2	no	—
1192	C₄⋊C₄	—	94	2	no	—
1193	C₄⋊C₄	—	94	2	no	—
1194	C₄⋊C₄	—	94	2	no	—
1195	C₄⋊C₄	—	94	2	no	—
1196	C₄⋊C₄	—	94	2	no	—
1197	C₄⋊C₄	—	94	2	no	—
1198	C₄⋊C₄	—	94	2	no	—
1199	C₄⋊C₄	—	188	1	no	—
1200	C₄⋊C₄	—	188	1	no	—
1201	C₄⋊C₄	—	188	1	no	—
1202	C₄⋊C₄	—	188	1	no	—
1203	C₄⋊C₄	—	188	1	no	—
1204	C₄⋊C₄	—	188	1	no	—
1205	C₄⋊C₄	—	188	1	no	—
1206	C₄⋊C₄	—	188	1	no	—
1207	C₄⋊C₄	—	188	1	no	—
1208	C₄⋊C₄	—	188	1	no	—
1209	C₄⋊C₄	—	188	1	no	—
1210	C₄⋊C₄	—	188	1	no	—
1211	C₄⋊C₄	—	188	1	no	—
1212	C₄⋊C₄	—	188	1	no	—
1213	C₄⋊C₄	—	188	1	no	—
1214	C₄⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1215	C₄⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1216	C₂²⋊C₄	—	4	1	no	—
1217	C₂²⋊C₄	—	4	1	no	—
1218	C₂²⋊C₄	—	4	1	no	—
1219	C₂²⋊C₄	—	4	1	no	—
1220	C₂²⋊C₄	—	4	1	no	—
1221	C₂²⋊C₄	—	47	4	no	—
1222	C₂²⋊C₄	—	47	4	no	—
1223	C₂²⋊C₄	—	47	4	no	—
1224	C₂²⋊C₄	—	47	4	no	—
1225	C₂²⋊C₄	—	47	4	no	—
1226	C₂²⋊C₄	—	47	4	no	—
1227	C₂²⋊C₄	—	47	4	no	—
1228	C₂²⋊C₄	—	47	4	no	—
1229	C₂²⋊C₄	—	47	4	no	—
1230	C₂²⋊C₄	—	94	2	no	—
1231	C₂²⋊C₄	—	94	2	no	—
1232	C₂²⋊C₄	—	188	1	no	—
1233	C₂²⋊C₄	—	188	1	no	—
1234	C₂²⋊C₄	—	188	1	no	—
1235	C₂²⋊C₄	—	188	1	no	—
1236	C₂²⋊C₄	—	188	1	no	—
1237	C₂²⋊C₄	—	188	1	no	—
1238	C₂²⋊C₄	—	188	1	no	—
1239	C₂²⋊C₄	—	188	1	no	—
1240	C₂²⋊C₄	—	188	1	no	—
1241	C₂²⋊C₄	—	188	1	no	—
1242	C₂²⋊C₄	—	188	1	no	—
1243	C₂²⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1244	C₂²⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1245	C₂²⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1246	C₄²	—	2	2	no	—
1247	C₄²	—	4	1	no	—
1248	C₄²	—	4	1	no	—
1249	C₄²	—	47	4	no	—
1250	C₄²	—	47	4	no	—
1251	C₄²	—	47	4	no	—
1252	C₄²	—	47	4	no	—
1253	C₄²	—	94	2	no	—
1254	C₄²	—	94	2	no	—
1255	C₄²	—	94	2	no	—
1256	C₄²	—	94	2	no	—
1257	C₄²	—	94	2	no	—
1258	C₄²	—	188	1	no	—
1259	C₄²	—	188	1	no	—
1260	C₄²	—	188	1	no	—
1261	C₄²	—	188	1	no	—
1262	C₄²	—	188	1	no	—
1263	C₄²	—	188	1	no	—
1264	C₄²	—	188	1	no	—
1265	C₄²	—	188	1	no	—
1266	C₄²	—	188	1	no	—
1267	C₄²	—	188	1	no	—
1268	C₄²	—	188	1	no	—
1269	C₄²	—	188	1	no	—
1270	C₄²	—	188	1	no	—
1271	C₄²	—	188	1	no	—
1272	C₂³	—	2	1	no	—
1273	C₂³	—	2	1	no	—
1274	C₂³	—	2	1	no	—
1275	C₂³	—	2	1	no	—
1276	C₂³	—	2	1	no	—
1277	C₂³	—	2	1	no	—
1278	C₂³	—	2	1	no	—
1279	C₂³	—	2	1	no	—
1280	C₂³	—	2	1	no	—
1281	C₂³	—	2	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	47	2	no	—
1285	C₂³	—	94	1	no	—
1286	C₂³	—	94	1	no	—
1287	C₂³	—	94	1	no	—
1288	C₂³	—	94	1	no	—
1289	C₂³	—	94	1	no	—
1290	C₂³	—	94	1	no	—
1291	C₂³	C₂²×C₄×D₄₇	1	2	yes	—
1292	C₂³	C₂²×C₄×D₄₇	1	2	yes	—
1293	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1294	Q₈	—	94	8	no	—
1295	Q₈	—	188	4	no	—
1296	Q₈	—	188	4	no	—
1297	D₄	—	4	4	no	—
1298	D₄	—	94	8	no	—
1299	D₄	—	188	4	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	4	4	no	—
1334	C₂×C₄	—	4	4	no	—
1335	C₂×C₄	—	8	2	no	—
1336	C₂×C₄	—	8	2	no	—
1337	C₂×C₄	—	47	2	no	—
1338	C₂×C₄	—	47	2	no	—
1339	C₂×C₄	—	47	2	no	—
1340	C₂×C₄	—	47	2	no	—
1341	C₂×C₄	—	47	2	no	—
1342	C₂×C₄	—	47	2	no	—
1343	C₂×C₄	—	47	2	no	—
1344	C₂×C₄	—	47	2	no	—
1345	C₂×C₄	—	47	2	no	—
1346	C₂×C₄	—	47	2	no	—
1347	C₂×C₄	—	94	8	no	—
1348	C₂×C₄	—	94	1	no	—
1349	C₂×C₄	—	94	1	no	—
1350	C₂×C₄	—	94	1	no	—
1351	C₂×C₄	—	94	1	no	—
1352	C₂×C₄	—	94	1	no	—
1353	C₂×C₄	—	94	1	no	—
1354	C₂×C₄	—	94	1	no	—
1355	C₂×C₄	—	94	1	no	—
1356	C₂×C₄	—	94	1	no	—
1357	C₂×C₄	—	94	1	no	—
1358	C₂×C₄	—	94	1	no	—
1359	C₂×C₄	—	94	1	no	—
1360	C₂×C₄	—	94	1	no	—
1361	C₂×C₄	—	94	1	no	—
1362	C₂×C₄	—	94	1	no	—
1363	C₂×C₄	—	94	1	no	—
1364	C₂×C₄	—	94	1	no	—
1365	C₂×C₄	—	94	1	no	—
1366	C₂×C₄	—	94	1	no	—
1367	C₂×C₄	—	94	1	no	—
1368	C₂×C₄	—	94	1	no	—
1369	C₂×C₄	—	94	1	no	—
1370	C₂×C₄	—	94	1	no	—
1371	C₂×C₄	—	94	1	no	—
1372	C₂×C₄	—	94	1	no	—
1373	C₂×C₄	—	94	1	no	—
1374	C₂×C₄	—	94	1	no	—
1375	C₂×C₄	—	94	1	no	—
1376	C₂×C₄	—	94	1	no	—
1377	C₂×C₄	—	94	1	no	—
1378	C₂×C₄	—	94	1	no	—
1379	C₂×C₄	—	94	1	no	—
1380	C₂×C₄	—	94	1	no	—
1381	C₂×C₄	—	94	1	no	—
1382	C₂×C₄	—	94	1	no	—
1383	C₂×C₄	—	376	2	no	—
1384	C₂×C₄	—	376	2	no	—
1385	C₂×C₄	—	188	4	no	—
1386	C₂×C₄	—	188	4	no	—
1387	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1388	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1389	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1390	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1391	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1392	C₂×C₄	#13094069	1	2	yes	—
1393	C₂²	—	2	2	no	—
1394	C₂²	—	2	2	no	—
1395	C₂²	—	2	2	no	—
1396	C₂²	—	2	2	no	—
1397	C₂²	—	2	2	no	—
1398	C₂²	—	2	2	no	—
1399	C₂²	—	4	1	no	—
1400	C₂²	—	4	1	no	—
1401	C₂²	—	4	1	no	—
1402	C₂²	—	4	1	no	—
1403	C₂²	—	4	1	no	—
1404	C₂²	—	4	1	no	—
1405	C₂²	—	4	1	no	—
1406	C₂²	—	4	1	no	—
1407	C₂²	—	94	2	no	—
1408	C₂²	—	94	2	no	—
1409	C₂²	—	94	2	no	—
1410	C₂²	—	188	1	no	—
1411	C₂²	—	188	1	no	—
1412	C₂²	—	188	1	no	—
1413	C₂²	—	188	1	no	—
1414	C₂²	C₂³×C₄×D₄₇	1	1	yes	characteristic
1415	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1416	C₂²	C₂×#13094069	1	1	yes	characteristic
1417	C₂²	2₋¹⁺⁴×D₄₇	1	1	yes	characteristic
1418	C₂²	2₋¹⁺⁴×D₄₇	1	1	yes	characteristic
1419	C₂²	#15689958	1	1	yes	characteristic
1420	C₂²	#15689959	1	1	yes	characteristic
1421	C₄	—	2	2	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	2	2	no	—
1424	C₄	—	2	2	no	—
1425	C₄	—	2	2	no	—
1426	C₄	—	2	2	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	4	1	no	—
1432	C₄	—	4	1	no	—
1433	C₄	—	4	1	no	—
1434	C₄	—	47	4	no	—
1435	C₄	—	94	2	no	—
1436	C₄	—	94	2	no	—
1437	C₄	—	94	2	no	—
1438	C₄	—	94	2	no	—
1439	C₄	—	94	2	no	—
1440	C₄	—	94	2	no	—
1441	C₄	—	94	2	no	—
1442	C₄	—	188	1	no	—
1443	C₄	—	188	1	no	—
1444	C₄	—	188	1	no	—
1445	C₄	—	188	1	no	—
1446	C₄	—	188	1	no	—
1447	C₄	—	188	1	no	—
1448	C₄	—	188	1	no	—
1449	C₂	—	4	2	no	—
1450	C₂	—	4	2	no	—
1451	C₂	—	188	2	no	—
1452	C₂	#520×D₄₇	1	1	yes	characteristic
1453	C₂	C₄×#13094069	1	1	yes	characteristic
1454	C₂	#20256599	1	1	yes	characteristic
1455	C₂	#20257680	1	1	yes	characteristic
1456	C₂	#20257699	1	1	yes	characteristic
1457	C₂	#20257797	1	1	yes	characteristic
1458	C₂	#20257892	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator	C₂²×C₄₇	C₂⁴×C₄
Fitting	C₄₇×#2322	C₂
socle, cosocle	C₂³×C₄₇	C₂⁵
prime radical	C₂×#13093996	C₂²
hypercenter	#2322	D₄₇
hypocenter	C₄₇	#34422
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ #2322

Complements

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

N	H ≅ G/N	type
2. #20246579	C₂	semidirect
3. #20246576	C₂	semidirect
4. #20246556	C₂	semidirect
5. #20246550	C₂	semidirect
6. #20246510	C₂	semidirect
7. #20246501	C₂	semidirect
8. #20246474	C₂	semidirect
9. #20246460	C₂	semidirect
10. #20246456	C₂	semidirect
11. #20246443	C₂	semidirect
12. #20246396	C₂	semidirect
13. #20246393	C₂	semidirect
14. #20246356	C₂	semidirect
15. #20246350	C₂	semidirect
16. #20246302	C₂	semidirect
17. C₄⋊C₄×C₂²⋊D₄₇	C₂	semidirect
18. #20246199	C₂	semidirect
19. #20246197	C₂	semidirect
20. #20246185	C₂	semidirect
21. #20246182	C₂	semidirect
22. #20246100	C₂	semidirect
23. #20246094	C₂	semidirect
25. #20246067	C₂	semidirect
26. #20246055	C₂	semidirect
27. #20245992	C₂	semidirect
28. #20245920	C₂	semidirect
30. #20245867	C₂	semidirect
31. C₄₇×#2322	C₂	semidirect
32. #15689741	C₄	semidirect
198. #13094023	C₂×C₄	semidirect
199. #13094019	C₂×C₄	semidirect
200. #13094017	C₂×C₄	semidirect
201. #13094011	C₂×C₄	semidirect
202. #13094010	C₂×C₄	semidirect
203. #13094010	C₂×C₄	semidirect
204. #13094006	C₂×C₄	semidirect
205. #13094003	C₂×C₄	semidirect
206. #13094002	C₂×C₄	semidirect
207. #13094001	C₂×C₄	semidirect
213. #13093989	C₂×C₄	semidirect
217. C₄×C₂²⋊D₄₇	C₂×C₄	semidirect
219. #13093980	C₂×C₄	semidirect
337. #123×C₄₇	C₂×C₄	semidirect
746. #2322	D₄₇	semidirect
917. C₄₇	#34422	semidirect
940. #123	C₄×D₄₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689741	2
#20246579	2
#20246576	2
#20246556	2
#20246550	2
#20246510	2
#20246501	2
#20246474	2
#20246460	2
#20246456	2
#20246443	2
#20246396	2
#20246393	2
#20246356	2
#20246350	2
#20246302	2
C₄⋊C₄×C₂²⋊D₄₇	2
#20246199	2
#20246197	2
#20246185	2
#20246182	2
#20246100	2
#20246094	2
#20246078	2
#20246067	2
#20246055	2
#20245992	2
#20245920	2
C₄×#13093996	2
#20245867	2
C₄₇×#2322	2
#34422	47