Subgroups — #26379697

Order 12032.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1476 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689696	C₂	1	1	yes	maximal, characteristic
2	#20246566	C₂	1	1	yes	maximal, characteristic, complemented
3	#20246561	C₂	1	1	yes	maximal, characteristic, complemented
4	#20246552	C₂	1	1	yes	maximal, characteristic, complemented
5	#20246551	C₂	1	1	yes	maximal, characteristic, complemented
6	#20246496	C₂	1	1	yes	maximal, characteristic, complemented
7	#20246474	C₂	1	1	yes	maximal, characteristic, complemented
8	#20246470	C₂	1	1	yes	maximal, characteristic, complemented
9	#20246468	C₂	1	1	yes	maximal, characteristic, complemented
10	#20246383	C₂	1	1	yes	maximal, characteristic, complemented
11	#20246381	C₂	1	1	yes	maximal, characteristic, complemented
12	#20246375	C₂	1	1	yes	maximal, characteristic, complemented
13	#20246373	C₂	1	1	yes	maximal, characteristic, complemented
14	#20246247	C₂	1	1	yes	maximal, characteristic, complemented
15	#20246243	C₂	1	1	yes	maximal, characteristic, complemented
16	#20246216	C₂	1	1	yes	maximal, characteristic
17	#20246215	C₂	1	1	yes	maximal, characteristic
18	#20246202	C₂	1	1	yes	maximal, characteristic, complemented
19	#20246196	C₂	1	1	yes	maximal, characteristic, complemented
20	#20246146	C₂	1	1	yes	maximal, characteristic, complemented
21	#20246143	C₂	1	1	yes	maximal, characteristic, complemented
22	#20246135	C₂	1	1	yes	maximal, characteristic, complemented
23	#20246133	C₂	1	1	yes	maximal, characteristic, complemented
24	#20246120	C₂	1	1	yes	maximal, characteristic, complemented
25	#20246055	C₂	1	1	yes	maximal, characteristic, complemented
26	#20246052	C₂	1	1	yes	maximal, characteristic, complemented
27	#20245971	C₂	1	1	yes	maximal, characteristic, complemented
28	#20245909	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#13094006	C₂	1	1	yes	maximal, characteristic, complemented
30	#391×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#2329	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#10625350	C₂²	1	1	yes	characteristic
33	C₂²×Q₈×D₄₇	C₂²	1	1	yes	characteristic
34	#15689696	C₄	1	16	yes	complemented
35	C₂×#13094023	C₂²	1	1	yes	characteristic
36	C₂×#13094023	C₂²	1	1	yes	characteristic
37	C₂×#13094010	C₂²	1	1	yes	characteristic
38	C₂×#13094010	C₂²	1	1	yes	characteristic
39	C₂×#13094009	C₂²	1	1	yes	characteristic
40	C₂×#13094009	C₂²	1	1	yes	characteristic
41	C₂×#13094006	C₂²	1	1	yes	characteristic
42	C₂×#13094006	C₂²	1	1	yes	characteristic
43	C₂×#13094004	C₂²	1	1	yes	characteristic
44	C₂×#13094003	C₂²	1	1	yes	characteristic
45	C₂×#13094000	C₂²	1	1	yes	characteristic
46	C₂×#13093986	C₂²	1	1	yes	characteristic
47	C₂×#13093986	C₂²	1	1	yes	characteristic
48	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
49	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
50	C₂×#13093982	C₂²	1	1	yes	characteristic
51	C₂×#13093982	C₂²	1	1	yes	characteristic
52	C₂×#13093981	C₂²	1	1	yes	characteristic
53	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
54	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
55	#15689030	C₂²	1	1	yes	characteristic
56	#15689030	C₂²	1	1	yes	characteristic
57	#15689029	C₂²	1	1	yes	characteristic
58	#15689029	C₂²	1	1	yes	characteristic
59	#15689028	C₂²	1	1	yes	characteristic
60	#15689028	C₂²	1	1	yes	characteristic
61	#15689028	C₂²	1	1	yes	characteristic
62	#15689028	C₂²	1	1	yes	characteristic
63	#15689027	C₂²	1	1	yes	characteristic
64	#15689027	C₂²	1	1	yes	characteristic
65	#15689027	C₂²	1	1	yes	characteristic
66	#15689027	C₂²	1	1	yes	characteristic
67	#15689027	C₂²	1	1	yes	characteristic
68	#15689027	C₂²	1	1	yes	characteristic
69	#15689027	C₂²	1	1	yes	characteristic
70	#15689027	C₂²	1	1	yes	characteristic
71	#15689027	C₂²	1	1	yes	characteristic
72	#15689027	C₂²	1	1	yes	characteristic
73	#15689021	C₂²	1	1	yes	characteristic
74	#15689020	C₂²	1	1	yes	characteristic
75	#15689019	C₂²	1	1	yes	characteristic
76	#15689018	C₂²	1	1	yes	characteristic
77	#15689018	C₂²	1	1	yes	characteristic
78	#15689018	C₂²	1	1	yes	characteristic
79	#15689017	C₂²	1	1	yes	characteristic
80	#15689017	C₂²	1	1	yes	characteristic
81	#15689016	C₂²	1	1	yes	characteristic
82	#15689016	C₂²	1	1	yes	characteristic
83	#15689016	C₂²	1	1	yes	characteristic
84	#15689016	C₂²	1	1	yes	characteristic
85	#15689015	C₂²	1	1	yes	characteristic
86	#15689015	C₂²	1	1	yes	characteristic
87	#15689014	C₂²	1	1	yes	characteristic
88	#15689014	C₂²	1	1	yes	characteristic
89	#15689013	C₂²	1	1	yes	characteristic
90	#15689013	C₂²	1	1	yes	characteristic
91	#15689012	C₂²	1	1	yes	characteristic
92	#15689012	C₂²	1	1	yes	characteristic
93	#15689011	C₂²	1	1	yes	characteristic
94	#15689011	C₂²	1	1	yes	characteristic
95	#15689010	C₂²	1	1	yes	characteristic
96	#15689009	C₂²	1	1	yes	characteristic
97	#15689009	C₂²	1	1	yes	characteristic
98	#15689009	C₂²	1	1	yes	characteristic
99	#15689009	C₂²	1	1	yes	characteristic
100	#15689008	C₂²	1	1	yes	characteristic
101	#15689008	C₂²	1	1	yes	characteristic
102	#15689008	C₂²	1	1	yes	characteristic
103	#15689008	C₂²	1	1	yes	characteristic
104	#15689007	C₂²	1	1	yes	characteristic
105	#15689006	C₂²	1	1	yes	characteristic
106	#15689006	C₂²	1	1	yes	characteristic
107	#15689006	C₂²	1	1	yes	characteristic
108	#15689006	C₂²	1	1	yes	characteristic
109	#15689005	C₂²	1	1	yes	characteristic
110	#15689005	C₂²	1	1	yes	characteristic
111	#15689005	C₂²	1	1	yes	characteristic
112	#15689004	C₂²	1	1	yes	characteristic
113	#15689004	C₂²	1	1	yes	characteristic
114	#15689004	C₂²	1	1	yes	characteristic
115	#15689002	C₂²	1	1	yes	characteristic
116	#15689002	C₂²	1	1	yes	characteristic
117	#15689001	C₂²	1	1	yes	characteristic
118	#15689001	C₂²	1	1	yes	characteristic
119	#15688999	C₂²	1	1	yes	characteristic
120	#15688999	C₂²	1	1	yes	characteristic
121	#15688999	C₂²	1	1	yes	characteristic
122	#15688999	C₂²	1	1	yes	characteristic
123	#15688997	C₂²	1	1	yes	characteristic
124	#15688997	C₂²	1	1	yes	characteristic
125	#15688997	C₂²	1	1	yes	characteristic
126	#15688997	C₂²	1	1	yes	characteristic
127	#15688996	C₂²	1	1	yes	characteristic
128	#15688996	C₂²	1	1	yes	characteristic
129	#15688994	C₂²	1	1	yes	characteristic
130	#15688994	C₂²	1	1	yes	characteristic
131	#15688994	C₂²	1	1	yes	characteristic
132	#15688994	C₂²	1	1	yes	characteristic
133	#15688990	C₂²	1	1	yes	characteristic
134	#15688990	C₂²	1	1	yes	characteristic
135	#15688988	C₂²	1	1	yes	characteristic
136	#15688987	C₂²	1	1	yes	characteristic
137	#15688986	C₂²	1	1	yes	characteristic
138	#15688985	C₂²	1	1	yes	characteristic
139	#15688985	C₂²	1	1	yes	characteristic
140	#15688985	C₂²	1	1	yes	characteristic
141	#15688985	C₂²	1	1	yes	characteristic
142	#15688985	C₂²	1	1	yes	characteristic
143	#15688982	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×Dic₄₇	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×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
149	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
150	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
151	#15688974	C₂²	1	1	yes	characteristic
152	#15688974	C₂²	1	1	yes	characteristic
153	#15688974	C₂²	1	1	yes	characteristic
154	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
155	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
156	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
157	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
158	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
159	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
160	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
161	#15688970	C₂²	1	1	yes	characteristic
162	#15688970	C₂²	1	1	yes	characteristic
163	#15688970	C₂²	1	1	yes	characteristic
164	#15688970	C₂²	1	1	yes	characteristic
165	#15688970	C₂²	1	1	yes	characteristic
166	#15688969	C₂²	1	1	yes	characteristic
167	#15688968	C₂²	1	1	yes	characteristic
168	#95×D₄₇	C₂²	1	1	yes	characteristic
169	#95×D₄₇	C₂²	1	1	yes	characteristic
170	#95×D₄₇	C₂²	1	1	yes	characteristic
171	#95×D₄₇	C₂²	1	1	yes	characteristic
172	#95×D₄₇	C₂²	1	1	yes	characteristic
173	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
174	C₄₇×#391	C₂²	1	1	yes	characteristic
175	C₄₇×#391	C₂²	1	1	yes	characteristic
176	C₄₇×#389	C₂²	1	1	yes	characteristic
177	C₄₇×#389	C₂²	1	1	yes	characteristic
178	C₄₇×#387	C₂²	1	1	yes	characteristic
179	C₄₇×#387	C₂²	1	1	yes	characteristic
180	C₄₇×#387	C₂²	1	1	yes	characteristic
181	C₄₇×#387	C₂²	1	1	yes	characteristic
182	C₄₇×#385	C₂²	1	1	yes	characteristic
183	C₄₇×#385	C₂²	1	1	yes	characteristic
184	C₄₇×#380	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
187	C₂×#95×C₄₇	C₂²	1	1	yes	characteristic
188	C₂×#10625350	—	4	2	no	—
189	C₂×#10625350	—	4	2	no	—
190	C₂×#10625350	C₂×C₄	1	8	yes	—
191	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
192	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
193	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
194	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
195	C₂×Q₈×D₄₇	—	4	2	no	—
196	C₂×Q₈×D₄₇	—	4	2	no	—
197	C₂×Q₈×D₄₇	C₂×C₄	1	8	yes	complemented
198	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
199	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
200	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₄₇	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	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
211	#13094023	C₂×C₄	1	8	yes	complemented
212	#13094023	C₂×C₄	1	8	yes	complemented
213	#13094010	C₂×C₄	1	8	yes	complemented
214	#13094010	C₂×C₄	1	8	yes	complemented
215	#13094009	C₂×C₄	1	8	yes	complemented
216	#13094009	C₂×C₄	1	8	yes	complemented
217	#13094006	C₂×C₄	1	8	yes	complemented
218	#13094006	C₂×C₄	1	8	yes	complemented
219	#13094004	C₂×C₄	1	8	yes	complemented
220	#13094003	C₂×C₄	1	8	yes	complemented
221	#13094000	C₂×C₄	1	8	yes	complemented
222	#13093986	—	4	2	no	—
223	#13093986	—	4	2	no	—
224	C₄×C₂²⋊D₄₇	—	4	2	no	—
225	C₄×C₂²⋊D₄₇	—	4	2	no	—
226	#13093982	—	4	2	no	—
227	#13093982	C₂×C₄	1	8	yes	complemented
228	#13093981	—	4	2	no	—
229	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₄₇	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	C₄⋊C₄×D₄₇	—	4	2	no	—
251	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
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×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₄₇)⋊C₄	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×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
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	C₄²×D₄₇	—	4	2	no	—
292	C₄₇⋊#95	C₂³	1	1	yes	characteristic
293	C₄₇⋊#95	C₂³	1	1	yes	characteristic
294	C₄₇⋊#95	C₂³	1	1	yes	characteristic
295	C₄₇⋊#95	C₂³	1	1	yes	characteristic
296	C₄₇⋊#95	C₂³	1	1	yes	characteristic
297	C₄₇⋊#95	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	C₄₇⋊#95	C₂³	1	1	yes	characteristic
333	C₄₇⋊#95	C₂³	1	1	yes	characteristic
334	C₂²×Q₈×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	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
338	C₂²⋊Q₈×C₄₇	C₂×C₄	1	8	yes	complemented
339	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
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×C₂²⋊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×C₄²×C₄₇	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
355	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
356	#95×C₄₇	C₂³	1	1	yes	characteristic
357	#95×C₄₇	C₂³	1	1	yes	characteristic
358	#95×C₄₇	C₂³	1	1	yes	characteristic
359	#95×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	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
372	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
373	C₂×Q₈×C₄₇	—	4	1	no	—
374	C₂×Q₈×C₄₇	—	4	1	no	—
375	C₂×Q₈×C₄₇	C₂²×C₄	1	4	yes	—
376	C₂²×C₄×C₄₇	—	2	2	no	—
377	C₂²×C₄×C₄₇	—	4	1	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	C₂²×C₄	1	4	yes	—
385	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₄₇	—	2	2	no	—
400	C₂×C₂²⋊D₄₇	—	2	2	no	—
401	C₂×C₂²⋊D₄₇	—	4	1	no	—
402	C₂×C₂²⋊D₄₇	—	4	1	no	—
403	C₂×C₂²⋊D₄₇	C₂²×C₄	1	4	yes	—
404	C₂×C₂²⋊D₄₇	C₂²×C₄	1	4	yes	—
405	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
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	Q₈×D₄₇	—	4	16	no	—
420	#10625350	—	4	16	no	—
421	C₂×D₁₈₈	—	2	2	no	—
422	C₂×D₁₈₈	—	2	2	no	—
423	C₂×D₁₈₈	C₂²×C₄	1	4	yes	—
424	C₂×C₄×D₄₇	—	2	2	no	—
425	C₂×C₄×D₄₇	—	2	2	no	—
426	C₂×C₄×D₄₇	—	2	2	no	—
427	C₂×C₄×D₄₇	—	2	2	no	—
428	C₂×C₄×D₄₇	—	2	2	no	—
429	C₂×C₄×D₄₇	—	2	2	no	—
430	C₂×C₄×D₄₇	—	2	2	no	—
431	C₂×C₄×D₄₇	—	2	2	no	—
432	C₂×C₄×D₄₇	—	2	2	no	—
433	C₂×C₄×D₄₇	—	2	2	no	—
434	C₂×C₄×D₄₇	—	2	2	no	—
435	C₂×C₄×D₄₇	—	2	2	no	—
436	C₂×C₄×D₄₇	—	2	2	no	—
437	C₂×C₄×D₄₇	—	4	1	no	—
438	C₂×C₄×D₄₇	—	4	1	no	—
439	C₂×C₄×D₄₇	—	4	1	no	—
440	C₂×C₄×D₄₇	—	4	1	no	—
441	C₂×C₄×D₄₇	—	4	1	no	—
442	C₂×C₄×D₄₇	—	4	1	no	—
443	C₂×C₄×D₄₇	—	4	1	no	—
444	C₂×C₄×D₄₇	—	4	1	no	—
445	C₂×C₄×D₄₇	—	4	1	no	—
446	C₂×C₄×D₄₇	—	4	1	no	—
447	C₂×C₄×D₄₇	—	4	1	no	—
448	C₂×C₄×D₄₇	—	4	1	no	—
449	C₂×C₄×D₄₇	—	4	1	no	—
450	C₂×C₄×D₄₇	C₂²×C₄	1	4	yes	—
451	C₂×C₄×D₄₇	C₂²×C₄	1	4	yes	—
452	C₂×C₄×D₄₇	C₂²×C₄	1	4	yes	—
453	C₂×C₄×D₄₇	C₂²×C₄	1	4	yes	—
454	C₂×Dic₉₄	—	4	1	no	—
455	C₂×Dic₉₄	—	4	1	no	—
456	C₂×Dic₉₄	—	4	1	no	—
457	C₂×Dic₉₄	—	4	1	no	—
458	C₂×Dic₉₄	—	4	1	no	—
459	C₂×Dic₉₄	—	4	1	no	—
460	C₂×Dic₉₄	—	4	1	no	—
461	C₂×Dic₉₄	—	4	1	no	—
462	C₂×Dic₉₄	C₂²×C₄	1	4	yes	—
463	C₂×Dic₉₄	C₂²×C₄	1	4	yes	—
464	C₂×Dic₉₄	C₂²×C₄	1	4	yes	—
465	C₂×Dic₉₄	C₂²×C₄	1	4	yes	—
466	C₄⋊C₄×C₄₇	—	4	1	no	—
467	C₄⋊C₄×C₄₇	—	4	1	no	—
468	C₄⋊C₄×C₄₇	—	4	1	no	—
469	C₄⋊C₄×C₄₇	—	4	1	no	—
470	C₄⋊C₄×C₄₇	—	4	1	no	—
471	C₄⋊C₄×C₄₇	—	4	1	no	—
472	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
473	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
474	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
475	C₂²⋊C₄×C₄₇	—	4	1	no	—
476	C₂²⋊C₄×C₄₇	—	4	1	no	—
477	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
478	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
479	C₄²×C₄₇	—	4	1	no	—
480	C₄²×C₄₇	—	4	1	no	—
481	C₄²×C₄₇	—	4	1	no	—
482	C₄²×C₄₇	—	4	1	no	—
483	C₂²⋊Dic₄₇	—	2	2	no	—
484	C₂²⋊Dic₄₇	—	4	1	no	—
485	C₂²⋊Dic₄₇	—	4	1	no	—
486	C₂²⋊Dic₄₇	—	4	1	no	—
487	C₂²⋊Dic₄₇	C₂²×C₄	1	4	yes	—
488	C₂²⋊Dic₄₇	C₂²×C₄	1	4	yes	—
489	(C₂×D₄₇)⋊C₄	—	2	2	no	—
490	(C₂×D₄₇)⋊C₄	—	2	2	no	—
491	(C₂×D₄₇)⋊C₄	—	2	2	no	—
492	(C₂×D₄₇)⋊C₄	—	2	2	no	—
493	(C₂×D₄₇)⋊C₄	—	2	2	no	—
494	(C₂×D₄₇)⋊C₄	—	4	1	no	—
495	(C₂×D₄₇)⋊C₄	—	4	1	no	—
496	(C₂×D₄₇)⋊C₄	—	4	1	no	—
497	(C₂×D₄₇)⋊C₄	—	4	1	no	—
498	(C₂×D₄₇)⋊C₄	—	4	1	no	—
499	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
500	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
501	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
502	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
503	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
504	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
505	C₄⋊Dic₄₇	—	2	2	no	—
506	C₄⋊Dic₄₇	—	4	1	no	—
507	C₄⋊Dic₄₇	—	4	1	no	—
508	C₄⋊Dic₄₇	—	4	1	no	—
509	C₄⋊Dic₄₇	C₂²×C₄	1	4	yes	—
510	C₄⋊Dic₄₇	C₂²×C₄	1	4	yes	—
511	C₄⋊Dic₄₇	C₂²×C₄	1	4	yes	—
512	Dic₄₇⋊C₄	—	2	2	no	—
513	Dic₄₇⋊C₄	—	4	1	no	—
514	Dic₄₇⋊C₄	—	4	1	no	—
515	Dic₄₇⋊C₄	—	4	1	no	—
516	Dic₄₇⋊C₄	—	4	1	no	—
517	Dic₄₇⋊C₄	—	4	1	no	—
518	Dic₄₇⋊C₄	—	4	1	no	—
519	Dic₄₇⋊C₄	—	4	1	no	—
520	Dic₄₇⋊C₄	—	4	1	no	—
521	Dic₄₇⋊C₄	—	4	1	no	—
522	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
523	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
524	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
525	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
526	C₄×Dic₄₇	—	2	2	no	—
527	C₄×Dic₄₇	—	2	2	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	—	4	1	no	—
539	C₄×Dic₄₇	—	4	1	no	—
540	C₄×Dic₄₇	—	4	1	no	—
541	C₄×Dic₄₇	—	4	1	no	—
542	C₄×Dic₄₇	C₂²×C₄	1	4	yes	—
543	C₄×Dic₄₇	C₂²×C₄	1	4	yes	—
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	C₂³×C₄	1	2	yes	—
551	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
552	C₂²×D₄₇	—	2	1	no	—
553	C₂²×D₄₇	—	2	1	no	—
554	C₂²×D₄₇	—	2	1	no	—
555	C₂²×D₄₇	—	2	1	no	—
556	C₂²×D₄₇	—	2	1	no	—
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	C₂³×C₄	1	2	yes	—
563	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
564	C₂²×D₄₇	H(5,𝔽₂)	1	2	yes	—
565	C₂²×D₄₇	H(5,𝔽₂)	1	2	yes	—
566	Q₈×C₄₇	—	4	4	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	—	2	1	no	—
599	C₂×C₄×C₄₇	—	2	1	no	—
600	C₂×C₄×C₄₇	—	2	1	no	—
601	C₂×C₄×C₄₇	—	2	1	no	—
602	C₂×C₄×C₄₇	—	4	4	no	—
603	C₂×C₄×C₄₇	—	8	2	no	—
604	C₂×C₄×C₄₇	—	8	2	no	—
605	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
606	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
607	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
608	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
609	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
610	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
611	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
612	C₂²⋊D₄₇	—	2	8	no	—
613	C₂²⋊D₄₇	—	4	4	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	1	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	—	2	1	no	—
647	C₂×Dic₄₇	—	2	1	no	—
648	C₂×Dic₄₇	—	2	1	no	—
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	C₂³×C₄	1	2	yes	—
655	C₂×Dic₄₇	2₋¹⁺⁴	1	2	yes	—
656	D₁₈₈	—	2	8	no	—
657	C₄×D₄₇	—	2	8	no	—
658	C₄×D₄₇	—	2	8	no	—
659	C₄×D₄₇	—	2	8	no	—
660	C₄×D₄₇	—	4	4	no	—
661	C₄×D₄₇	—	4	4	no	—
662	C₄×D₄₇	—	4	4	no	—
663	C₄×D₄₇	—	8	2	no	—
664	C₄×D₄₇	—	8	2	no	—
665	C₄×D₄₇	—	8	2	no	—
666	C₄×D₄₇	—	8	2	no	—
667	Dic₉₄	—	4	4	no	—
668	Dic₉₄	—	4	4	no	—
669	Dic₉₄	—	4	4	no	—
670	Dic₉₄	—	4	4	no	—
671	#34409	—	47	1	no	maximal, Sylow
672	C₂²×C₄₇	—	2	2	no	—
673	C₂²×C₄₇	—	2	2	no	—
674	C₂²×C₄₇	—	2	2	no	—
675	C₂²×C₄₇	—	4	1	no	—
676	C₂²×C₄₇	—	4	1	no	—
677	C₂²×C₄₇	—	4	1	no	—
678	C₂²×C₄₇	—	4	1	no	—
679	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
680	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
681	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
682	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
683	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
684	C₂²×C₄₇	#585	1	1	yes	characteristic
685	C₂²×C₄₇	#585	1	1	yes	characteristic
686	C₂×D₄₇	—	2	2	no	—
687	C₂×D₄₇	—	2	2	no	—
688	C₂×D₄₇	—	2	2	no	—
689	C₂×D₄₇	—	2	2	no	—
690	C₂×D₄₇	—	2	2	no	—
691	C₂×D₄₇	—	2	2	no	—
692	C₂×D₄₇	—	2	2	no	—
693	C₂×D₄₇	—	2	2	no	—
694	C₂×D₄₇	—	2	2	no	—
695	C₂×D₄₇	—	4	1	no	—
696	C₂×D₄₇	—	4	1	no	—
697	C₂×D₄₇	—	4	1	no	—
698	C₂×D₄₇	—	4	1	no	—
699	C₂×D₄₇	#518	1	4	yes	—
700	C₄×C₄₇	—	2	2	no	—
701	C₄×C₄₇	—	2	2	no	—
702	C₄×C₄₇	—	2	2	no	—
703	C₄×C₄₇	—	2	2	no	—
704	C₄×C₄₇	—	2	2	no	—
705	C₄×C₄₇	—	2	2	no	—
706	C₄×C₄₇	—	2	2	no	—
707	C₄×C₄₇	—	4	1	no	—
708	C₄×C₄₇	—	4	1	no	—
709	C₄×C₄₇	—	4	1	no	—
710	C₄×C₄₇	—	4	1	no	—
711	C₄×C₄₇	—	4	1	no	—
712	C₄×C₄₇	—	4	1	no	—
713	C₄×C₄₇	—	4	1	no	—
714	Dic₄₇	—	2	2	no	—
715	Dic₄₇	—	2	2	no	—
716	Dic₄₇	—	2	2	no	—
717	Dic₄₇	—	2	2	no	—
718	Dic₄₇	—	2	2	no	—
719	Dic₄₇	—	2	2	no	—
720	Dic₄₇	—	2	2	no	—
721	Dic₄₇	—	4	1	no	—
722	Dic₄₇	—	4	1	no	—
723	Dic₄₇	—	4	1	no	—
724	Dic₄₇	—	4	1	no	—
725	Dic₄₇	—	4	1	no	—
726	Dic₄₇	—	4	1	no	—
727	Dic₄₇	—	4	1	no	—
728	C₂×#536	—	47	1	no	—
729	#2381	—	47	1	no	—
730	#2379	—	47	1	no	—
731	#2378	—	47	1	no	—
732	#2378	—	47	1	no	—
733	#2372	—	47	1	no	—
734	#2369	—	47	1	no	—
735	#2368	—	47	1	no	—
736	#2368	—	47	1	no	—
737	#2359	—	47	1	no	—
738	#2359	—	47	1	no	—
739	#2359	—	47	1	no	—
740	#2359	—	47	1	no	—
741	#2343	—	47	1	no	—
742	#2343	—	47	1	no	—
743	#2339	—	47	1	no	—
744	#2339	—	47	1	no	—
745	#2337	—	47	1	no	—
746	#2337	—	47	1	no	—
747	#2332	—	47	1	no	—
748	#2332	—	47	1	no	—
749	#2331	—	47	1	no	—
750	#2331	—	47	1	no	—
751	#2329	—	47	1	no	—
752	#2329	D₄₇	1	1	yes	characteristic, complemented
753	#2322	—	47	1	no	—
754	#2322	—	47	1	no	—
755	#2310	—	47	1	no	—
756	C₄×#123	—	47	1	no	—
757	C₄×#123	—	47	1	no	—
758	C₂×#391	—	47	1	no	—
759	C₂×C₄₇	—	4	2	no	—
760	C₂×C₄₇	C₂×#518	1	1	yes	characteristic
761	C₂×C₄₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
762	C₂×C₄₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
763	C₂×C₄₇	#3535	1	1	yes	characteristic
764	C₂×C₄₇	#3535	1	1	yes	characteristic
765	C₂×C₄₇	#3544	1	1	yes	characteristic
766	C₂×C₄₇	#3545	1	1	yes	characteristic
767	D₄₇	—	2	4	no	—
768	D₄₇	—	4	2	no	—
769	C₂²×#41	—	47	1	no	—
770	C₂³×Q₈	—	47	1	no	—
771	#536	—	47	16	no	—
772	C₂×C₄⋊Q₈	—	47	1	no	—
773	C₂×C₄⋊Q₈	—	47	1	no	—
774	C₂×#124	—	47	1	no	—
775	C₂×#124	—	47	1	no	—
776	C₂×#123	—	47	1	no	—
777	C₂×#123	—	47	1	no	—
778	C₂×#123	—	47	1	no	—
779	C₂×#123	—	47	1	no	—
780	C₂×C₂²⋊Q₈	—	47	1	no	—
781	C₂×C₂²⋊Q₈	—	47	1	no	—
782	C₂×C₂²⋊Q₈	—	47	1	no	—
783	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
784	C₂×C₄×D₄	—	47	1	no	—
785	C₂×C₄×D₄	—	47	1	no	—
786	C₂×C₄×D₄	—	47	1	no	—
787	C₂×C₄×D₄	—	47	1	no	—
788	C₂×#117	—	47	1	no	—
789	C₂×#117	—	47	1	no	—
790	C₂×#117	—	47	1	no	—
791	C₂²×C₄⋊C₄	—	47	1	no	—
792	C₂²×C₄²	—	47	1	no	—
793	#391	—	47	1	no	—
794	#391	—	47	1	no	—
795	#391	—	47	1	no	—
796	#391	—	47	1	no	—
797	#391	—	47	1	no	—
798	#391	—	47	1	no	—
799	#391	—	47	1	no	—
800	#391	—	47	1	no	—
801	#391	—	47	1	no	—
802	#391	—	47	1	no	—
803	#391	—	47	1	no	—
804	#391	—	47	1	no	—
805	#391	—	47	1	no	—
806	#391	—	47	1	no	—
807	#391	—	47	1	no	—
808	#391	—	47	1	no	—
809	#391	—	47	1	no	—
810	#391	—	47	1	no	—
811	#391	C₂×D₄₇	1	1	yes	characteristic
812	#391	C₂×D₄₇	1	1	yes	characteristic
813	#389	—	47	1	no	—
814	#389	—	47	1	no	—
815	#389	—	47	1	no	—
816	#389	—	47	1	no	—
817	#389	—	47	1	no	—
818	#389	—	47	1	no	—
819	#389	C₂×D₄₇	1	1	yes	characteristic
820	#389	C₂×D₄₇	1	1	yes	characteristic
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	#387	—	47	1	no	—
838	#387	—	47	1	no	—
839	#387	—	47	1	no	—
840	#387	—	47	1	no	—
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	—	47	1	no	—
856	#387	—	47	1	no	—
857	#387	C₂×D₄₇	1	1	yes	characteristic
858	#387	C₂×D₄₇	1	1	yes	characteristic
859	#387	C₂×D₄₇	1	1	yes	characteristic
860	#387	C₂×D₄₇	1	1	yes	characteristic
861	#386	—	47	1	no	—
862	#386	—	47	1	no	—
863	#386	—	47	1	no	—
864	#386	—	47	1	no	—
865	#386	—	47	1	no	—
866	#386	—	47	1	no	—
867	#386	—	47	1	no	—
868	#386	—	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	—	47	1	no	—
875	#385	—	47	1	no	—
876	#385	—	47	1	no	—
877	#385	—	47	1	no	—
878	#385	—	47	1	no	—
879	#385	C₂×D₄₇	1	1	yes	characteristic
880	#385	C₂×D₄₇	1	1	yes	characteristic
881	#383	—	47	1	no	—
882	#383	—	47	1	no	—
883	#382	—	47	1	no	—
884	#382	—	47	1	no	—
885	#381	—	47	1	no	—
886	#381	—	47	1	no	—
887	#381	—	47	1	no	—
888	#381	—	47	1	no	—
889	#381	—	47	1	no	—
890	#381	—	47	1	no	—
891	#380	—	47	1	no	—
892	#380	C₂×D₄₇	1	1	yes	characteristic
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×C₂²⋊C₄	—	47	1	no	—
904	C₄×C₂²⋊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	—	47	1	no	—
915	C₄×C₂²⋊C₄	C₂×D₄₇	1	1	yes	characteristic
916	C₄×C₂²⋊C₄	C₂×D₄₇	1	1	yes	characteristic
917	#376	—	47	1	no	—
918	#376	—	47	1	no	—
919	C₂×#95	—	47	1	no	—
920	C₂×#95	—	47	1	no	—
921	C₂×#95	—	47	1	no	—
922	C₂×#95	—	47	1	no	—
923	C₂×#95	—	47	1	no	—
924	C₂×#95	C₂×D₄₇	1	1	yes	characteristic
925	C₄₇	#34409	1	1	yes	characteristic, complemented, Sylow
926	C₂×#41	—	47	8	no	—
927	C₂×#41	—	188	2	no	—
928	C₂×#41	—	188	2	no	—
929	C₂²×Q₈	—	47	8	no	—
930	C₂²×Q₈	—	47	1	no	—
931	C₂²×Q₈	—	47	1	no	—
932	C₂²×Q₈	—	47	1	no	—
933	C₂²×Q₈	—	47	1	no	—
934	C₂²×Q₈	—	188	2	no	—
935	C₂²×Q₈	—	188	2	no	—
936	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
937	C₂²×D₄	—	47	1	no	—
938	C₂²×D₄	—	47	1	no	—
939	C₂²×D₄	—	47	1	no	—
940	C₂³×C₄	—	47	1	no	—
941	C₂³×C₄	—	47	1	no	—
942	C₂³×C₄	—	47	1	no	—
943	C₂³×C₄	—	47	1	no	—
944	C₂³×C₄	—	47	1	no	—
945	C₂³×C₄	—	47	1	no	—
946	C₂³×C₄	—	47	1	no	—
947	C₂³×C₄	—	47	1	no	—
948	C₂³×C₄	—	47	1	no	—
949	C₂³×C₄	—	47	1	no	—
950	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
951	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
952	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
953	C₄⋊Q₈	—	47	8	no	—
954	C₄⋊Q₈	—	47	8	no	—
955	#124	—	47	8	no	—
956	#124	—	47	8	no	—
957	#123	—	47	8	no	—
958	#123	—	47	8	no	—
959	#123	—	47	8	no	—
960	#123	—	47	8	no	—
961	C₂²⋊Q₈	—	47	8	no	—
962	C₂²⋊Q₈	—	47	8	no	—
963	C₂²⋊Q₈	—	47	8	no	—
964	C₂²⋊Q₈	C₄×D₄₇	1	8	yes	complemented
965	C₄×D₄	—	188	2	no	—
966	C₄×D₄	—	188	2	no	—
967	C₄×D₄	—	188	2	no	—
968	C₄×D₄	—	188	2	no	—
969	#117	—	47	8	no	—
970	#117	—	188	2	no	—
971	#117	—	188	2	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	—	47	1	no	—
990	C₂×C₄⋊C₄	—	47	1	no	—
991	C₂×C₄⋊C₄	—	47	1	no	—
992	C₂×C₄⋊C₄	—	47	1	no	—
993	C₂×C₄⋊C₄	—	188	2	no	—
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×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1000	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1001	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1002	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
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	—	47	1	no	—
1022	C₂×C₂²⋊C₄	—	47	1	no	—
1023	C₂×C₂²⋊C₄	—	47	1	no	—
1024	C₂×C₂²⋊C₄	—	47	1	no	—
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	—	188	2	no	—
1048	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1049	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1050	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1051	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1052	#95	—	47	1	no	—
1053	#95	—	47	1	no	—
1054	#95	—	47	1	no	—
1055	#95	—	47	1	no	—
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	—	47	1	no	—
1091	#95	—	47	1	no	—
1092	#95	—	47	1	no	—
1093	#95	—	47	1	no	—
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	#95	C₂²×D₄₇	1	1	yes	characteristic
1101	#95	C₂²×D₄₇	1	1	yes	characteristic
1102	#95	C₂²×D₄₇	1	1	yes	characteristic
1103	#95	C₂²×D₄₇	1	1	yes	characteristic
1104	#95	C₂²×D₄₇	1	1	yes	characteristic
1105	#95	C₂²×D₄₇	1	1	yes	characteristic
1106	#95	C₂²×D₄₇	1	1	yes	characteristic
1107	#95	C₂²×D₄₇	1	1	yes	characteristic
1108	C₂⁴	—	47	1	no	—
1109	C₂⁴	—	47	1	no	—
1110	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1111	#41	—	188	16	no	—
1112	C₂×Q₈	—	4	1	no	—
1113	C₂×Q₈	—	4	1	no	—
1114	C₂×Q₈	—	47	4	no	—
1115	C₂×Q₈	—	47	4	no	—
1116	C₂×Q₈	—	47	4	no	—
1117	C₂×Q₈	—	47	4	no	—
1118	C₂×Q₈	—	188	1	no	—
1119	C₂×Q₈	—	188	1	no	—
1120	C₂×Q₈	—	188	1	no	—
1121	C₂×Q₈	—	188	1	no	—
1122	C₂×Q₈	—	188	1	no	—
1123	C₂×Q₈	—	188	1	no	—
1124	C₂×Q₈	—	188	1	no	—
1125	C₂×Q₈	—	188	1	no	—
1126	C₂×Q₈	—	188	16	no	—
1127	C₂×Q₈	C₂×C₄×D₄₇	1	4	yes	—
1128	C₂×D₄	—	47	4	no	—
1129	C₂×D₄	—	47	4	no	—
1130	C₂×D₄	—	47	4	no	—
1131	C₂×D₄	—	94	2	no	—
1132	C₂×D₄	—	94	2	no	—
1133	C₂×D₄	—	94	2	no	—
1134	C₂×D₄	—	94	2	no	—
1135	C₂×D₄	—	188	1	no	—
1136	C₂×D₄	—	188	1	no	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	4	1	no	—
1139	C₂²×C₄	—	4	1	no	—
1140	C₂²×C₄	—	4	1	no	—
1141	C₂²×C₄	—	4	1	no	—
1142	C₂²×C₄	—	4	1	no	—
1143	C₂²×C₄	—	4	1	no	—
1144	C₂²×C₄	—	4	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	—	47	1	no	—
1150	C₂²×C₄	—	47	1	no	—
1151	C₂²×C₄	—	47	1	no	—
1152	C₂²×C₄	—	47	4	no	—
1153	C₂²×C₄	—	47	4	no	—
1154	C₂²×C₄	—	47	4	no	—
1155	C₂²×C₄	—	47	4	no	—
1156	C₂²×C₄	—	47	1	no	—
1157	C₂²×C₄	—	47	1	no	—
1158	C₂²×C₄	—	47	1	no	—
1159	C₂²×C₄	—	47	1	no	—
1160	C₂²×C₄	—	47	1	no	—
1161	C₂²×C₄	—	47	1	no	—
1162	C₂²×C₄	—	47	1	no	—
1163	C₂²×C₄	—	94	2	no	—
1164	C₂²×C₄	—	94	2	no	—
1165	C₂²×C₄	—	94	2	no	—
1166	C₂²×C₄	—	94	2	no	—
1167	C₂²×C₄	—	94	2	no	—
1168	C₂²×C₄	—	94	2	no	—
1169	C₂²×C₄	—	94	2	no	—
1170	C₂²×C₄	—	94	2	no	—
1171	C₂²×C₄	—	94	2	no	—
1172	C₂²×C₄	—	94	2	no	—
1173	C₂²×C₄	—	94	2	no	—
1174	C₂²×C₄	—	94	2	no	—
1175	C₂²×C₄	—	94	2	no	—
1176	C₂²×C₄	—	188	1	no	—
1177	C₂²×C₄	—	188	1	no	—
1178	C₂²×C₄	—	188	1	no	—
1179	C₂²×C₄	—	188	1	no	—
1180	C₂²×C₄	—	188	1	no	—
1181	C₂²×C₄	—	188	1	no	—
1182	C₂²×C₄	—	188	1	no	—
1183	C₂²×C₄	—	188	1	no	—
1184	C₂²×C₄	—	188	1	no	—
1185	C₂²×C₄	—	188	1	no	—
1186	C₂²×C₄	—	188	1	no	—
1187	C₂²×C₄	—	188	1	no	—
1188	C₂²×C₄	—	188	1	no	—
1189	C₂²×C₄	C₂×C₄×D₄₇	1	4	yes	—
1190	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1194	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1195	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1196	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1197	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1199	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1200	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1201	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1202	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1203	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1204	C₄⋊C₄	—	4	1	no	—
1205	C₄⋊C₄	—	4	1	no	—
1206	C₄⋊C₄	—	4	1	no	—
1207	C₄⋊C₄	—	4	1	no	—
1208	C₄⋊C₄	—	4	1	no	—
1209	C₄⋊C₄	—	4	1	no	—
1210	C₄⋊C₄	—	47	4	no	—
1211	C₄⋊C₄	—	47	4	no	—
1212	C₄⋊C₄	—	47	4	no	—
1213	C₄⋊C₄	—	47	4	no	—
1214	C₄⋊C₄	—	47	4	no	—
1215	C₄⋊C₄	—	47	4	no	—
1216	C₄⋊C₄	—	47	4	no	—
1217	C₄⋊C₄	—	94	2	no	—
1218	C₄⋊C₄	—	94	2	no	—
1219	C₄⋊C₄	—	188	1	no	—
1220	C₄⋊C₄	—	188	1	no	—
1221	C₄⋊C₄	—	188	1	no	—
1222	C₄⋊C₄	—	188	1	no	—
1223	C₄⋊C₄	—	188	1	no	—
1224	C₄⋊C₄	—	188	1	no	—
1225	C₄⋊C₄	—	188	1	no	—
1226	C₄⋊C₄	—	188	1	no	—
1227	C₄⋊C₄	—	188	1	no	—
1228	C₄⋊C₄	—	188	1	no	—
1229	C₄⋊C₄	—	188	1	no	—
1230	C₄⋊C₄	—	188	1	no	—
1231	C₄⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1232	C₄⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1233	C₄⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1234	C₂²⋊C₄	—	4	1	no	—
1235	C₂²⋊C₄	—	4	1	no	—
1236	C₂²⋊C₄	—	47	4	no	—
1237	C₂²⋊C₄	—	47	4	no	—
1238	C₂²⋊C₄	—	47	4	no	—
1239	C₂²⋊C₄	—	47	4	no	—
1240	C₂²⋊C₄	—	47	4	no	—
1241	C₂²⋊C₄	—	47	4	no	—
1242	C₂²⋊C₄	—	47	4	no	—
1243	C₂²⋊C₄	—	47	4	no	—
1244	C₂²⋊C₄	—	94	2	no	—
1245	C₂²⋊C₄	—	94	2	no	—
1246	C₂²⋊C₄	—	94	2	no	—
1247	C₂²⋊C₄	—	94	2	no	—
1248	C₂²⋊C₄	—	94	2	no	—
1249	C₂²⋊C₄	—	94	2	no	—
1250	C₂²⋊C₄	—	188	1	no	—
1251	C₂²⋊C₄	—	188	1	no	—
1252	C₂²⋊C₄	—	188	1	no	—
1253	C₂²⋊C₄	—	188	1	no	—
1254	C₂²⋊C₄	—	188	1	no	—
1255	C₂²⋊C₄	—	188	1	no	—
1256	C₂²⋊C₄	—	188	1	no	—
1257	C₂²⋊C₄	—	188	1	no	—
1258	C₂²⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1259	C₂²⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1260	C₄²	—	4	1	no	—
1261	C₄²	—	4	1	no	—
1262	C₄²	—	4	1	no	—
1263	C₄²	—	4	1	no	—
1264	C₄²	—	47	4	no	—
1265	C₄²	—	47	4	no	—
1266	C₄²	—	94	2	no	—
1267	C₄²	—	94	2	no	—
1268	C₄²	—	188	1	no	—
1269	C₄²	—	188	1	no	—
1270	C₄²	—	188	1	no	—
1271	C₄²	—	188	1	no	—
1272	C₄²	—	188	1	no	—
1273	C₄²	—	188	1	no	—
1274	C₄²	—	188	1	no	—
1275	C₄²	—	188	1	no	—
1276	C₄²	—	188	1	no	—
1277	C₄²	—	188	1	no	—
1278	C₄²	—	188	1	no	—
1279	C₄²	—	188	1	no	—
1280	C₄²	—	188	1	no	—
1281	C₄²	—	188	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	47	2	no	—
1289	C₂³	—	47	2	no	—
1290	C₂³	—	47	2	no	—
1291	C₂³	—	47	2	no	—
1292	C₂³	—	94	1	no	—
1293	C₂³	—	94	1	no	—
1294	C₂³	—	94	1	no	—
1295	C₂³	—	94	1	no	—
1296	C₂³	—	94	1	no	—
1297	C₂³	—	94	1	no	—
1298	C₂³	—	94	1	no	—
1299	C₂³	—	94	1	no	—
1300	C₂³	—	94	1	no	—
1301	C₂³	—	94	1	no	—
1302	C₂³	C₂²×C₄×D₄₇	1	2	yes	—
1303	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1304	Q₈	—	4	4	no	—
1305	Q₈	—	188	4	no	—
1306	Q₈	—	188	4	no	—
1307	Q₈	—	188	4	no	—
1308	Q₈	—	188	4	no	—
1309	D₄	—	94	8	no	—
1310	D₄	—	94	8	no	—
1311	D₄	—	188	4	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	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	4	4	no	—
1348	C₂×C₄	—	8	2	no	—
1349	C₂×C₄	—	8	2	no	—
1350	C₂×C₄	—	47	2	no	—
1351	C₂×C₄	—	47	2	no	—
1352	C₂×C₄	—	47	2	no	—
1353	C₂×C₄	—	47	2	no	—
1354	C₂×C₄	—	47	2	no	—
1355	C₂×C₄	—	47	2	no	—
1356	C₂×C₄	—	47	2	no	—
1357	C₂×C₄	—	94	8	no	—
1358	C₂×C₄	—	94	8	no	—
1359	C₂×C₄	—	94	8	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	—	94	1	no	—
1384	C₂×C₄	—	94	1	no	—
1385	C₂×C₄	—	94	1	no	—
1386	C₂×C₄	—	94	1	no	—
1387	C₂×C₄	—	94	1	no	—
1388	C₂×C₄	—	94	1	no	—
1389	C₂×C₄	—	94	1	no	—
1390	C₂×C₄	—	94	1	no	—
1391	C₂×C₄	—	94	1	no	—
1392	C₂×C₄	—	94	1	no	—
1393	C₂×C₄	—	94	1	no	—
1394	C₂×C₄	—	94	1	no	—
1395	C₂×C₄	—	376	2	no	—
1396	C₂×C₄	—	376	2	no	—
1397	C₂×C₄	—	376	2	no	—
1398	C₂×C₄	—	376	2	no	—
1399	C₂×C₄	—	188	4	no	—
1400	C₂×C₄	—	188	4	no	—
1401	C₂×C₄	—	188	4	no	—
1402	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1403	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1404	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1405	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1406	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1407	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1408	C₂×C₄	#13094072	1	2	yes	—
1409	C₂²	—	2	2	no	—
1410	C₂²	—	2	2	no	—
1411	C₂²	—	2	2	no	—
1412	C₂²	—	4	1	no	—
1413	C₂²	—	4	1	no	—
1414	C₂²	—	4	1	no	—
1415	C₂²	—	4	1	no	—
1416	C₂²	—	47	4	no	—
1417	C₂²	—	94	2	no	—
1418	C₂²	—	94	2	no	—
1419	C₂²	—	94	2	no	—
1420	C₂²	—	94	2	no	—
1421	C₂²	—	94	2	no	—
1422	C₂²	—	94	2	no	—
1423	C₂²	—	94	2	no	—
1424	C₂²	—	94	2	no	—
1425	C₂²	—	94	2	no	—
1426	C₂²	—	188	1	no	—
1427	C₂²	—	188	1	no	—
1428	C₂²	—	188	1	no	—
1429	C₂²	—	188	1	no	—
1430	C₂²	C₂³×C₄×D₄₇	1	1	yes	characteristic
1431	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1432	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1433	C₂²	2₋¹⁺⁴×D₄₇	1	1	yes	characteristic
1434	C₂²	C₂×#13094072	1	1	yes	characteristic
1435	C₂²	#15689958	1	1	yes	characteristic
1436	C₂²	#15689959	1	1	yes	characteristic
1437	C₄	—	2	2	no	—
1438	C₄	—	2	2	no	—
1439	C₄	—	2	2	no	—
1440	C₄	—	2	2	no	—
1441	C₄	—	2	2	no	—
1442	C₄	—	2	2	no	—
1443	C₄	—	2	2	no	—
1444	C₄	—	4	1	no	—
1445	C₄	—	4	1	no	—
1446	C₄	—	4	1	no	—
1447	C₄	—	4	1	no	—
1448	C₄	—	4	1	no	—
1449	C₄	—	4	1	no	—
1450	C₄	—	4	1	no	—
1451	C₄	—	94	2	no	—
1452	C₄	—	94	2	no	—
1453	C₄	—	94	2	no	—
1454	C₄	—	94	2	no	—
1455	C₄	—	94	2	no	—
1456	C₄	—	94	2	no	—
1457	C₄	—	94	2	no	—
1458	C₄	—	188	1	no	—
1459	C₄	—	188	1	no	—
1460	C₄	—	188	1	no	—
1461	C₄	—	188	1	no	—
1462	C₄	—	188	1	no	—
1463	C₄	—	188	1	no	—
1464	C₄	—	188	1	no	—
1465	C₂	—	4	2	no	—
1466	C₂	—	94	4	no	—
1467	C₂	—	188	2	no	—
1468	C₂	#518×D₄₇	1	1	yes	characteristic
1469	C₂	#20256599	1	1	yes	characteristic
1470	C₂	C₄×#13094072	1	1	yes	characteristic
1471	C₂	#20257596	1	1	yes	characteristic
1472	C₂	#20257602	1	1	yes	characteristic
1473	C₂	#20257731	1	1	yes	characteristic
1474	C₂	#20257739	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator	C₂²×C₄₇	C₂⁴×C₄
Fitting	C₄₇×#2329	C₂
socle, cosocle	C₂³×C₄₇	C₂⁵
prime radical	C₂²×#10625350	C₂²
hypercenter	#2329	D₄₇
hypocenter	C₄₇	#34409
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ #2329

Complements

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

N	H ≅ G/N	type
2. #20246566	C₂	semidirect
3. #20246561	C₂	semidirect
4. #20246552	C₂	semidirect
5. #20246551	C₂	semidirect
6. #20246496	C₂	semidirect
7. #20246474	C₂	semidirect
8. #20246470	C₂	semidirect
9. #20246468	C₂	semidirect
10. #20246383	C₂	semidirect
11. #20246381	C₂	semidirect
12. #20246375	C₂	semidirect
13. #20246373	C₂	semidirect
14. #20246247	C₂	semidirect
15. #20246243	C₂	semidirect
18. #20246202	C₂	semidirect
19. #20246196	C₂	semidirect
20. #20246146	C₂	semidirect
21. #20246143	C₂	semidirect
22. #20246135	C₂	semidirect
23. #20246133	C₂	semidirect
24. #20246120	C₂	semidirect
25. #20246055	C₂	semidirect
26. #20246052	C₂	semidirect
27. #20245971	C₂	semidirect
28. #20245909	C₂	semidirect
29. C₄×#13094006	C₂	semidirect
30. #391×D₄₇	C₂	semidirect
31. C₄₇×#2329	C₂	semidirect
34. #15689696	C₄	semidirect
197. C₂×Q₈×D₄₇	C₂×C₄	semidirect
211. #13094023	C₂×C₄	semidirect
212. #13094023	C₂×C₄	semidirect
213. #13094010	C₂×C₄	semidirect
214. #13094010	C₂×C₄	semidirect
215. #13094009	C₂×C₄	semidirect
216. #13094009	C₂×C₄	semidirect
217. #13094006	C₂×C₄	semidirect
218. #13094006	C₂×C₄	semidirect
219. #13094004	C₂×C₄	semidirect
220. #13094003	C₂×C₄	semidirect
221. #13094000	C₂×C₄	semidirect
227. #13093982	C₂×C₄	semidirect
338. C₂²⋊Q₈×C₄₇	C₂×C₄	semidirect
752. #2329	D₄₇	semidirect
925. C₄₇	#34409	semidirect
964. C₂²⋊Q₈	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×#15689696	2
#20246566	2
#20246561	2
#20246552	2
#20246551	2
#20246496	2
#20246474	2
#20246470	2
#20246468	2
#20246383	2
#20246381	2
#20246375	2
#20246373	2
#20246247	2
#20246243	2
#20246216	2
#20246215	2
#20246202	2
#20246196	2
#20246146	2
#20246143	2
#20246135	2
#20246133	2
#20246120	2
#20246055	2
#20246052	2
#20245971	2
#20245909	2
C₄×#13094006	2
#391×D₄₇	2
C₄₇×#2329	2
#34409	47