Subgroups — #26423866

Order 12032.

2152 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689726	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#15689719	C₂	1	1	yes	maximal, characteristic, complemented
3	#20251718	C₂	1	1	yes	maximal, characteristic, complemented
4	#20251684	C₂	1	1	yes	maximal, characteristic, complemented
5	#20250251	C₂	1	1	yes	maximal, characteristic, complemented
6	#20250139	C₂	1	1	yes	maximal, characteristic, complemented
7	#20250122	C₂	1	1	yes	maximal, characteristic, complemented
8	#20250107	C₂	1	1	yes	maximal, characteristic, complemented
9	#20250071	C₂	1	1	yes	maximal, characteristic, complemented
10	#20250024	C₂	1	1	yes	maximal, characteristic, complemented
11	#20249930	C₂	1	1	yes	maximal, characteristic, complemented
12	#20249899	C₂	1	1	yes	maximal, characteristic, complemented
13	#20249874	C₂	1	1	yes	maximal, characteristic, complemented
14	#20249850	C₂	1	1	yes	maximal, characteristic, complemented
15	#20249825	C₂	1	1	yes	maximal, characteristic, complemented
16	#20249808	C₂	1	1	yes	maximal, characteristic, complemented
17	#20249659	C₂	1	1	yes	maximal, characteristic, complemented
18	#20249634	C₂	1	1	yes	maximal, characteristic, complemented
19	#20249620	C₂	1	1	yes	maximal, characteristic, complemented
20	#20249544	C₂	1	1	yes	maximal, characteristic, complemented
21	#20249519	C₂	1	1	yes	maximal, characteristic, complemented
22	#20249082	C₂	1	1	yes	maximal, characteristic, complemented
23	#20249008	C₂	1	1	yes	maximal, characteristic, complemented
24	#20248996	C₂	1	1	yes	maximal, characteristic, complemented
25	#20248981	C₂	1	1	yes	maximal, characteristic, complemented
26	#20248862	C₂	1	1	yes	maximal, characteristic, complemented
27	#20248548	C₂	1	1	yes	maximal, characteristic, complemented
28	#20246802	C₂	1	1	yes	maximal, characteristic, complemented
29	#20246790	C₂	1	1	yes	maximal, characteristic, complemented
30	#20245826	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#2676	C₂	1	1	yes	maximal, characteristic, complemented
32	#15689726	—	2	8	no	—
33	#15689719	—	2	8	no	—
34	C₂×#13094020	C₂²	1	1	yes	characteristic
35	C₂×#13094019	C₂²	1	1	yes	characteristic
36	C₂×#13094017	C₂²	1	1	yes	characteristic
37	C₂×#13094015	C₂²	1	1	yes	characteristic
38	C₂×#13094014	C₂²	1	1	yes	characteristic
39	C₂×#13094014	C₂²	1	1	yes	characteristic
40	C₂×#13094009	C₂²	1	1	yes	characteristic
41	C₂×#13094008	C₂²	1	1	yes	characteristic
42	C₂×#13094008	C₂²	1	1	yes	characteristic
43	C₂×#13094007	C₂²	1	1	yes	characteristic
44	C₂×#13094006	C₂²	1	1	yes	characteristic
45	C₂×#13094006	C₂²	1	1	yes	characteristic
46	C₂×#13094006	C₂²	1	1	yes	characteristic
47	C₂×#13094006	C₂²	1	1	yes	characteristic
48	C₂×#13094006	C₂²	1	1	yes	characteristic
49	C₂×#13094000	C₂²	1	1	yes	characteristic
50	C₂×#13094000	C₂²	1	1	yes	characteristic
51	C₂×#13093998	C₂²	1	1	yes	characteristic
52	C₂×#13093997	C₂²	1	1	yes	characteristic
53	C₂×#13093996	C₂²	1	1	yes	characteristic
54	C₂×#13093996	C₂²	1	1	yes	characteristic
55	C₂×#13093995	C₂²	1	1	yes	characteristic
56	C₂×#13093995	C₂²	1	1	yes	characteristic
57	C₂×#13093995	C₂²	1	1	yes	characteristic
58	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic
59	C₂×#13093986	C₂²	1	1	yes	characteristic
60	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
61	C₂×#13093983	C₂²	1	1	yes	characteristic
62	C₂×#13093982	C₂²	1	1	yes	characteristic
63	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
64	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
65	#15689065	C₂²	1	1	yes	characteristic
66	#15689063	C₂²	1	1	yes	characteristic
67	#15689063	C₂²	1	1	yes	characteristic
68	#15689063	C₂²	1	1	yes	characteristic
69	#15689062	C₂²	1	1	yes	characteristic
70	#15689062	C₂²	1	1	yes	characteristic
71	#15689059	C₂²	1	1	yes	characteristic
72	#15689059	C₂²	1	1	yes	characteristic
73	#15689056	C₂²	1	1	yes	characteristic
74	#15689056	C₂²	1	1	yes	characteristic
75	#15689055	C₂²	1	1	yes	characteristic
76	#15689055	C₂²	1	1	yes	characteristic
77	#15689055	C₂²	1	1	yes	characteristic
78	#15689053	C₂²	1	1	yes	characteristic
79	#15689052	C₂²	1	1	yes	characteristic
80	#15689052	C₂²	1	1	yes	characteristic
81	#15689051	C₂²	1	1	yes	characteristic
82	#15689050	C₂²	1	1	yes	characteristic
83	#15689048	C₂²	1	1	yes	characteristic
84	#15689048	C₂²	1	1	yes	characteristic
85	#15689046	C₂²	1	1	yes	characteristic
86	#15689046	C₂²	1	1	yes	characteristic
87	#15689046	C₂²	1	1	yes	characteristic
88	#15689042	C₂²	1	1	yes	characteristic
89	#15689039	C₂²	1	1	yes	characteristic
90	#15689039	C₂²	1	1	yes	characteristic
91	#15689039	C₂²	1	1	yes	characteristic
92	#15689039	C₂²	1	1	yes	characteristic
93	#15689038	C₂²	1	1	yes	characteristic
94	#15689038	C₂²	1	1	yes	characteristic
95	#15689038	C₂²	1	1	yes	characteristic
96	#15689038	C₂²	1	1	yes	characteristic
97	#15689037	C₂²	1	1	yes	characteristic
98	#15689037	C₂²	1	1	yes	characteristic
99	#15689037	C₂²	1	1	yes	characteristic
100	#15689037	C₂²	1	1	yes	characteristic
101	#15689037	C₂²	1	1	yes	characteristic
102	#15689031	C₂²	1	1	yes	characteristic
103	#15689031	C₂²	1	1	yes	characteristic
104	#15689031	C₂²	1	1	yes	characteristic
105	#15689031	C₂²	1	1	yes	characteristic
106	#15689031	C₂²	1	1	yes	characteristic
107	#15689030	C₂²	1	1	yes	characteristic
108	#15689026	C₂²	1	1	yes	characteristic
109	#15689026	C₂²	1	1	yes	characteristic
110	#15689026	C₂²	1	1	yes	characteristic
111	#15689026	C₂²	1	1	yes	characteristic
112	#15689026	C₂²	1	1	yes	characteristic
113	#15689022	C₂²	1	1	yes	characteristic
114	#15689022	C₂²	1	1	yes	characteristic
115	#15689021	C₂²	1	1	yes	characteristic
116	#15689020	C₂²	1	1	yes	characteristic
117	#15689020	C₂²	1	1	yes	characteristic
118	#15689017	C₂²	1	1	yes	characteristic
119	#15689017	C₂²	1	1	yes	characteristic
120	#15689016	C₂²	1	1	yes	characteristic
121	#15689016	C₂²	1	1	yes	characteristic
122	#15689016	C₂²	1	1	yes	characteristic
123	#15689016	C₂²	1	1	yes	characteristic
124	#15689014	C₂²	1	1	yes	characteristic
125	#15689012	C₂²	1	1	yes	characteristic
126	#15689011	C₂²	1	1	yes	characteristic
127	#15689011	C₂²	1	1	yes	characteristic
128	#15689011	C₂²	1	1	yes	characteristic
129	#15689011	C₂²	1	1	yes	characteristic
130	#15689011	C₂²	1	1	yes	characteristic
131	#15689011	C₂²	1	1	yes	characteristic
132	#15689011	C₂²	1	1	yes	characteristic
133	#15689011	C₂²	1	1	yes	characteristic
134	#15689009	C₂²	1	1	yes	characteristic
135	#15689008	C₂²	1	1	yes	characteristic
136	#15689008	C₂²	1	1	yes	characteristic
137	#15689008	C₂²	1	1	yes	characteristic
138	#15689004	C₂²	1	1	yes	characteristic
139	#15689003	C₂²	1	1	yes	characteristic
140	#15689003	C₂²	1	1	yes	characteristic
141	#15689001	C₂²	1	1	yes	characteristic
142	#15689001	C₂²	1	1	yes	characteristic
143	#15688999	C₂²	1	1	yes	characteristic
144	#15688999	C₂²	1	1	yes	characteristic
145	#15688999	C₂²	1	1	yes	characteristic
146	#15688999	C₂²	1	1	yes	characteristic
147	#15688999	C₂²	1	1	yes	characteristic
148	#15688999	C₂²	1	1	yes	characteristic
149	#15688999	C₂²	1	1	yes	characteristic
150	#15688999	C₂²	1	1	yes	characteristic
151	#15688999	C₂²	1	1	yes	characteristic
152	#15688999	C₂²	1	1	yes	characteristic
153	#15688999	C₂²	1	1	yes	characteristic
154	#15688998	C₂²	1	1	yes	characteristic
155	#15688998	C₂²	1	1	yes	characteristic
156	#15688997	C₂²	1	1	yes	characteristic
157	#15688996	C₂²	1	1	yes	characteristic
158	#15688996	C₂²	1	1	yes	characteristic
159	#15688996	C₂²	1	1	yes	characteristic
160	#15688994	C₂²	1	1	yes	characteristic
161	#15688994	C₂²	1	1	yes	characteristic
162	#15688989	C₂²	1	1	yes	characteristic
163	#15688985	C₂²	1	1	yes	characteristic
164	#15688983	C₂²	1	1	yes	characteristic
165	#15688981	C₂²	1	1	yes	characteristic
166	#15688981	C₂²	1	1	yes	characteristic
167	#15688981	C₂²	1	1	yes	characteristic
168	#15688981	C₂²	1	1	yes	characteristic
169	#15688980	C₂²	1	1	yes	characteristic
170	#15688974	C₂²	1	1	yes	characteristic
171	#15688970	C₂²	1	1	yes	characteristic
172	#15688970	C₂²	1	1	yes	characteristic
173	#15688968	C₂²	1	1	yes	characteristic
174	C₂×#124×C₄₇	C₂²	1	1	yes	characteristic
175	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
176	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
177	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
178	C₄₇×#396	C₂²	1	1	yes	characteristic
179	C₄₇×#394	C₂²	1	1	yes	characteristic
180	C₄₇×#394	C₂²	1	1	yes	characteristic
181	C₄₇×#393	C₂²	1	1	yes	characteristic
182	C₄₇×#392	C₂²	1	1	yes	characteristic
183	C₄₇×#392	C₂²	1	1	yes	characteristic
184	C₄₇×#390	C₂²	1	1	yes	characteristic
185	C₄₇×#387	C₂²	1	1	yes	characteristic
186	C₄₇×#386	C₂²	1	1	yes	characteristic
187	C₄₇×#386	C₂²	1	1	yes	characteristic
188	C₄₇×#385	C₂²	1	1	yes	characteristic
189	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
197	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
198	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
199	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
200	C₂²×C₄×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	#13094020	—	2	4	no	—
207	#13094019	—	2	4	no	—
208	#13094017	—	2	4	no	—
209	#13094015	—	2	4	no	—
210	#13094014	—	2	4	no	—
211	#13094014	—	2	4	no	—
212	#13094009	—	2	4	no	—
213	#13094008	—	2	4	no	—
214	#13094008	—	2	4	no	—
215	#13094007	—	2	4	no	—
216	#13094006	—	2	4	no	—
217	#13094006	—	2	4	no	—
218	#13094006	—	2	4	no	—
219	#13094006	—	2	4	no	—
220	#13094006	—	4	2	no	—
221	#13094000	—	2	4	no	—
222	#13094000	—	2	4	no	—
223	#13093998	—	2	4	no	—
224	#13093997	—	2	4	no	—
225	#13093996	—	2	4	no	—
226	#13093996	—	2	4	no	—
227	#13093995	—	2	4	no	—
228	#13093995	—	2	4	no	—
229	#13093995	—	4	2	no	—
230	D₄×Dic₄₇	—	2	4	no	—
231	#13093986	D₄	1	8	yes	complemented
232	C₄×C₂²⋊D₄₇	—	2	4	no	—
233	#13093983	—	2	4	no	—
234	#13093982	—	4	2	no	—
235	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
248	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
264	C₄⋊C₄×D₄₇	—	2	4	no	—
265	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
287	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
309	C₄²×D₄₇	—	4	2	no	—
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	C₄₇⋊#95	C₂³	1	1	yes	characteristic
335	C₄₇⋊#95	C₂³	1	1	yes	characteristic
336	C₄₇⋊#95	C₂³	1	1	yes	characteristic
337	C₄₇⋊#95	C₂³	1	1	yes	characteristic
338	C₄₇⋊#95	C₂³	1	1	yes	characteristic
339	C₄₇⋊#95	C₂³	1	1	yes	characteristic
340	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
341	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
342	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
343	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
344	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
345	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
346	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
347	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
348	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
349	#124×C₄₇	—	4	2	no	—
350	C₂²⋊Q₈×C₄₇	—	2	4	no	—
351	#121×C₄₇	—	2	4	no	—
352	#121×C₄₇	—	4	2	no	—
353	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
354	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
355	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
356	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
357	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
361	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
362	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
363	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
364	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
365	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
366	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
368	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
370	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
371	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
372	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
373	#95×C₄₇	C₂³	1	1	yes	characteristic
374	#95×C₄₇	C₂³	1	1	yes	characteristic
375	#95×C₄₇	C₂³	1	1	yes	characteristic
376	#95×C₄₇	C₂³	1	1	yes	characteristic
377	#95×C₄₇	C₂³	1	1	yes	characteristic
378	#95×C₄₇	C₂³	1	1	yes	characteristic
379	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
380	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
381	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
382	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
383	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
384	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
385	C₂×Q₈×C₄₇	—	2	2	no	—
386	C₂×Q₈×C₄₇	—	4	1	no	—
387	C₂×Q₈×C₄₇	—	4	1	no	—
388	C₂×D₄×C₄₇	—	2	2	no	—
389	C₂×D₄×C₄₇	—	2	2	no	—
390	C₂×D₄×C₄₇	—	2	2	no	—
391	C₂×D₄×C₄₇	—	2	2	no	—
392	C₂×D₄×C₄₇	—	4	1	no	—
393	C₂×D₄×C₄₇	—	4	1	no	—
394	C₂×D₄×C₄₇	—	4	1	no	—
395	C₂×D₄×C₄₇	—	4	1	no	—
396	C₂×D₄×C₄₇	—	4	1	no	—
397	C₂×D₄×C₄₇	—	4	1	no	—
398	C₂×D₄×C₄₇	—	4	1	no	—
399	C₂×D₄×C₄₇	—	4	1	no	—
400	C₂×D₄×C₄₇	—	4	1	no	—
401	C₂×D₄×C₄₇	—	4	1	no	—
402	C₂×D₄×C₄₇	—	4	1	no	—
403	C₂×D₄×C₄₇	—	4	1	no	—
404	C₂×D₄×C₄₇	—	4	1	no	—
405	C₂×D₄×C₄₇	—	4	1	no	—
406	C₂²×C₄×C₄₇	—	2	2	no	—
407	C₂²×C₄×C₄₇	—	2	2	no	—
408	C₂²×C₄×C₄₇	—	4	1	no	—
409	C₂²×C₄×C₄₇	—	4	1	no	—
410	C₂²×C₄×C₄₇	—	4	1	no	—
411	C₂²×C₄×C₄₇	—	4	1	no	—
412	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
423	C₂×C₂²⋊D₄₇	—	2	2	no	—
424	C₂×C₂²⋊D₄₇	—	2	2	no	—
425	C₂×C₂²⋊D₄₇	—	2	2	no	—
426	C₂×C₂²⋊D₄₇	—	2	2	no	—
427	C₂×C₂²⋊D₄₇	—	2	2	no	—
428	C₂×C₂²⋊D₄₇	—	2	2	no	—
429	C₂×C₂²⋊D₄₇	—	2	2	no	—
430	C₂×C₂²⋊D₄₇	—	2	2	no	—
431	C₂×C₂²⋊D₄₇	—	4	1	no	—
432	C₂×C₂²⋊D₄₇	—	4	1	no	—
433	C₂×C₂²⋊D₄₇	—	4	1	no	—
434	C₂×C₂²⋊D₄₇	—	4	1	no	—
435	C₂×C₂²⋊D₄₇	—	4	1	no	—
436	C₂×C₂²⋊D₄₇	—	4	1	no	—
437	C₂×C₂²⋊D₄₇	—	4	1	no	—
438	C₂×C₂²⋊D₄₇	—	4	1	no	—
439	C₂×C₂²⋊D₄₇	—	4	1	no	—
440	C₂×C₂²⋊D₄₇	—	4	1	no	—
441	C₂×C₂²⋊D₄₇	—	4	1	no	—
442	C₂×C₂²⋊D₄₇	—	4	1	no	—
443	C₂×C₂²⋊D₄₇	—	4	1	no	—
444	C₂×C₂²⋊D₄₇	—	4	1	no	—
445	C₂×C₂²⋊D₄₇	—	4	1	no	—
446	C₂×C₂²⋊D₄₇	—	4	1	no	—
447	C₂²×Dic₄₇	—	2	2	no	—
448	C₂²×Dic₄₇	—	2	2	no	—
449	C₂²×Dic₄₇	—	4	1	no	—
450	C₂²×Dic₄₇	—	4	1	no	—
451	C₂²×Dic₄₇	—	4	1	no	—
452	C₂²×Dic₄₇	—	4	1	no	—
453	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
454	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
455	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
456	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
457	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
458	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
459	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
460	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
461	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
462	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
463	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
464	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
465	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
466	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
467	C₂×D₁₈₈	—	4	1	no	—
468	C₂×D₁₈₈	—	4	1	no	—
469	C₂×D₁₈₈	C₂×D₄	1	4	yes	—
470	C₂×C₄×D₄₇	—	2	2	no	—
471	C₂×C₄×D₄₇	—	2	2	no	—
472	C₂×C₄×D₄₇	—	2	2	no	—
473	C₂×C₄×D₄₇	—	4	1	no	—
474	C₂×C₄×D₄₇	—	4	1	no	—
475	C₂×C₄×D₄₇	—	4	1	no	—
476	C₂×C₄×D₄₇	—	4	1	no	—
477	C₂×C₄×D₄₇	—	4	1	no	—
478	C₂×C₄×D₄₇	—	4	1	no	—
479	C₂×C₄×D₄₇	—	4	1	no	—
480	C₂×C₄×D₄₇	—	4	1	no	—
481	C₂×C₄×D₄₇	—	4	1	no	—
482	C₂×C₄×D₄₇	—	4	1	no	—
483	C₂×C₄×D₄₇	—	4	1	no	—
484	C₂×C₄×D₄₇	—	4	1	no	—
485	C₂×C₄×D₄₇	—	4	1	no	—
486	C₂×C₄×D₄₇	C₂×D₄	1	4	yes	—
487	C₂×C₄×D₄₇	C₂×D₄	1	4	yes	—
488	C₄⋊C₄×C₄₇	—	2	2	no	—
489	C₄⋊C₄×C₄₇	—	2	2	no	—
490	C₄⋊C₄×C₄₇	—	2	2	no	—
491	C₄⋊C₄×C₄₇	—	4	1	no	—
492	C₄⋊C₄×C₄₇	C₂×D₄	1	4	yes	—
493	C₂²⋊C₄×C₄₇	—	2	2	no	—
494	C₂²⋊C₄×C₄₇	—	2	2	no	—
495	C₂²⋊C₄×C₄₇	—	2	2	no	—
496	C₂²⋊C₄×C₄₇	—	2	2	no	—
497	C₂²⋊C₄×C₄₇	—	2	2	no	—
498	C₂²⋊C₄×C₄₇	—	2	2	no	—
499	C₂²⋊C₄×C₄₇	—	4	1	no	—
500	C₂²⋊C₄×C₄₇	—	4	1	no	—
501	C₂²⋊C₄×C₄₇	—	4	1	no	—
502	C₂²⋊C₄×C₄₇	—	4	1	no	—
503	C₂²⋊C₄×C₄₇	—	4	1	no	—
504	C₂²⋊C₄×C₄₇	—	4	1	no	—
505	C₂²⋊C₄×C₄₇	—	4	1	no	—
506	C₂²⋊C₄×C₄₇	—	4	1	no	—
507	C₄²×C₄₇	—	2	2	no	—
508	C₂²⋊Dic₄₇	—	2	2	no	—
509	C₂²⋊Dic₄₇	—	2	2	no	—
510	C₂²⋊Dic₄₇	—	2	2	no	—
511	C₂²⋊Dic₄₇	—	2	2	no	—
512	C₂²⋊Dic₄₇	—	2	2	no	—
513	C₂²⋊Dic₄₇	—	2	2	no	—
514	C₂²⋊Dic₄₇	—	4	1	no	—
515	C₂²⋊Dic₄₇	—	4	1	no	—
516	C₂²⋊Dic₄₇	—	4	1	no	—
517	C₂²⋊Dic₄₇	—	4	1	no	—
518	C₂²⋊Dic₄₇	—	4	1	no	—
519	C₂²⋊Dic₄₇	—	4	1	no	—
520	C₂²⋊Dic₄₇	—	4	1	no	—
521	C₂²⋊Dic₄₇	—	4	1	no	—
522	C₂²⋊Dic₄₇	—	4	1	no	—
523	C₂²⋊Dic₄₇	—	4	1	no	—
524	C₂²⋊Dic₄₇	—	4	1	no	—
525	C₂²⋊Dic₄₇	—	4	1	no	—
526	C₂²⋊Dic₄₇	—	4	1	no	—
527	C₂²⋊Dic₄₇	—	4	1	no	—
528	C₂²⋊Dic₄₇	—	4	1	no	—
529	C₂²⋊Dic₄₇	—	4	1	no	—
530	(C₂×D₄₇)⋊C₄	—	2	2	no	—
531	(C₂×D₄₇)⋊C₄	—	2	2	no	—
532	(C₂×D₄₇)⋊C₄	—	2	2	no	—
533	(C₂×D₄₇)⋊C₄	—	2	2	no	—
534	(C₂×D₄₇)⋊C₄	—	2	2	no	—
535	(C₂×D₄₇)⋊C₄	—	2	2	no	—
536	(C₂×D₄₇)⋊C₄	—	2	2	no	—
537	(C₂×D₄₇)⋊C₄	—	4	1	no	—
538	(C₂×D₄₇)⋊C₄	—	4	1	no	—
539	(C₂×D₄₇)⋊C₄	—	4	1	no	—
540	(C₂×D₄₇)⋊C₄	—	4	1	no	—
541	(C₂×D₄₇)⋊C₄	—	4	1	no	—
542	(C₂×D₄₇)⋊C₄	C₂×D₄	1	4	yes	—
543	(C₂×D₄₇)⋊C₄	C₂×D₄	1	4	yes	—
544	C₄⋊Dic₄₇	—	2	2	no	—
545	C₄⋊Dic₄₇	—	2	2	no	—
546	C₄⋊Dic₄₇	—	2	2	no	—
547	C₄⋊Dic₄₇	—	2	2	no	—
548	C₄⋊Dic₄₇	—	2	2	no	—
549	C₄⋊Dic₄₇	—	2	2	no	—
550	C₄⋊Dic₄₇	—	2	2	no	—
551	C₄⋊Dic₄₇	—	2	2	no	—
552	C₄⋊Dic₄₇	—	2	2	no	—
553	C₄⋊Dic₄₇	—	4	1	no	—
554	C₄⋊Dic₄₇	—	4	1	no	—
555	C₄⋊Dic₄₇	—	4	1	no	—
556	C₄⋊Dic₄₇	—	4	1	no	—
557	Dic₄₇⋊C₄	—	2	2	no	—
558	Dic₄₇⋊C₄	—	2	2	no	—
559	Dic₄₇⋊C₄	—	2	2	no	—
560	Dic₄₇⋊C₄	—	2	2	no	—
561	Dic₄₇⋊C₄	—	2	2	no	—
562	Dic₄₇⋊C₄	—	2	2	no	—
563	Dic₄₇⋊C₄	—	2	2	no	—
564	Dic₄₇⋊C₄	—	2	2	no	—
565	Dic₄₇⋊C₄	—	2	2	no	—
566	Dic₄₇⋊C₄	—	2	2	no	—
567	Dic₄₇⋊C₄	—	4	1	no	—
568	Dic₄₇⋊C₄	—	4	1	no	—
569	Dic₄₇⋊C₄	—	4	1	no	—
570	Dic₄₇⋊C₄	—	4	1	no	—
571	Dic₄₇⋊C₄	—	4	1	no	—
572	Dic₄₇⋊C₄	—	4	1	no	—
573	C₄×Dic₄₇	—	2	2	no	—
574	C₄×Dic₄₇	—	2	2	no	—
575	C₄×Dic₄₇	—	2	2	no	—
576	C₄×Dic₄₇	—	4	1	no	—
577	C₄×Dic₄₇	—	4	1	no	—
578	C₄×Dic₄₇	—	4	1	no	—
579	C₄×Dic₄₇	—	4	1	no	—
580	C₄×Dic₄₇	C₂×D₄	1	4	yes	—
581	C₂³×C₄₇	—	2	1	no	—
582	C₂³×C₄₇	—	2	1	no	—
583	C₂³×C₄₇	—	2	1	no	—
584	C₂³×C₄₇	—	2	1	no	—
585	C₂³×C₄₇	—	2	1	no	—
586	C₂³×C₄₇	—	2	1	no	—
587	C₂³×C₄₇	—	2	1	no	—
588	C₂³×C₄₇	—	2	1	no	—
589	C₂³×C₄₇	—	2	1	no	—
590	C₂³×C₄₇	—	2	1	no	—
591	C₂³×C₄₇	—	2	1	no	—
592	C₂³×C₄₇	—	2	1	no	—
593	C₂³×C₄₇	—	2	1	no	—
594	C₂³×C₄₇	—	2	1	no	—
595	C₂³×C₄₇	—	2	1	no	—
596	C₂³×C₄₇	—	2	1	no	—
597	C₂³×C₄₇	—	2	1	no	—
598	C₂³×C₄₇	—	2	1	no	—
599	C₂³×C₄₇	—	2	1	no	—
600	C₂³×C₄₇	—	2	1	no	—
601	C₂³×C₄₇	—	2	1	no	—
602	C₂³×C₄₇	—	2	1	no	—
603	C₂³×C₄₇	—	2	1	no	—
604	C₂³×C₄₇	—	2	1	no	—
605	C₂³×C₄₇	—	2	1	no	—
606	C₂³×C₄₇	—	2	1	no	—
607	C₂³×C₄₇	—	2	1	no	—
608	C₂³×C₄₇	—	2	1	no	—
609	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
610	C₂²×D₄₇	—	2	1	no	—
611	C₂²×D₄₇	—	2	1	no	—
612	C₂²×D₄₇	—	2	1	no	—
613	C₂²×D₄₇	—	2	1	no	—
614	C₂²×D₄₇	—	2	1	no	—
615	C₂²×D₄₇	—	2	1	no	—
616	C₂²×D₄₇	—	2	1	no	—
617	C₂²×D₄₇	—	2	1	no	—
618	C₂²×D₄₇	—	2	1	no	—
619	C₂²×D₄₇	—	2	1	no	—
620	C₂²×D₄₇	—	2	1	no	—
621	C₂²×D₄₇	—	2	1	no	—
622	C₂²×D₄₇	C₂²×D₄	1	2	yes	—
623	C₂²×D₄₇	C₂²×D₄	1	2	yes	—
624	Q₈×C₄₇	—	8	2	no	—
625	D₄×C₄₇	—	4	4	no	—
626	D₄×C₄₇	—	8	2	no	—
627	D₄×C₄₇	—	8	2	no	—
628	D₄×C₄₇	—	8	2	no	—
629	D₄×C₄₇	—	8	2	no	—
630	D₄×C₄₇	—	8	2	no	—
631	C₂×C₄×C₄₇	—	2	1	no	—
632	C₂×C₄×C₄₇	—	2	1	no	—
633	C₂×C₄×C₄₇	—	2	1	no	—
634	C₂×C₄×C₄₇	—	2	1	no	—
635	C₂×C₄×C₄₇	—	2	1	no	—
636	C₂×C₄×C₄₇	—	2	1	no	—
637	C₂×C₄×C₄₇	—	2	1	no	—
638	C₂×C₄×C₄₇	—	2	1	no	—
639	C₂×C₄×C₄₇	—	2	1	no	—
640	C₂×C₄×C₄₇	—	2	1	no	—
641	C₂×C₄×C₄₇	—	2	1	no	—
642	C₂×C₄×C₄₇	—	2	1	no	—
643	C₂×C₄×C₄₇	—	2	1	no	—
644	C₂×C₄×C₄₇	—	2	1	no	—
645	C₂×C₄×C₄₇	—	2	1	no	—
646	C₂×C₄×C₄₇	—	2	1	no	—
647	C₂×C₄×C₄₇	—	2	1	no	—
648	C₂×C₄×C₄₇	—	2	1	no	—
649	C₂×C₄×C₄₇	—	2	1	no	—
650	C₂×C₄×C₄₇	—	2	1	no	—
651	C₂×C₄×C₄₇	—	2	1	no	—
652	C₂×C₄×C₄₇	—	2	1	no	—
653	C₂×C₄×C₄₇	—	2	1	no	—
654	C₂×C₄×C₄₇	—	2	1	no	—
655	C₂×C₄×C₄₇	—	2	1	no	—
656	C₂×C₄×C₄₇	—	2	1	no	—
657	C₂×C₄×C₄₇	—	2	1	no	—
658	C₂×C₄×C₄₇	—	2	1	no	—
659	C₂×C₄×C₄₇	—	2	1	no	—
660	C₂×C₄×C₄₇	—	4	4	no	—
661	C₂×C₄×C₄₇	—	8	2	no	—
662	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
663	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
664	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
665	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
666	C₂²⋊D₄₇	—	4	4	no	—
667	C₂²⋊D₄₇	—	8	2	no	—
668	C₂²⋊D₄₇	—	8	2	no	—
669	C₂²⋊D₄₇	—	8	2	no	—
670	C₂²⋊D₄₇	—	8	2	no	—
671	C₂²⋊D₄₇	—	8	2	no	—
672	C₂²⋊D₄₇	—	8	2	no	—
673	C₂²⋊D₄₇	—	8	2	no	—
674	C₂×Dic₄₇	—	2	1	no	—
675	C₂×Dic₄₇	—	2	1	no	—
676	C₂×Dic₄₇	—	2	1	no	—
677	C₂×Dic₄₇	—	2	1	no	—
678	C₂×Dic₄₇	—	2	1	no	—
679	C₂×Dic₄₇	—	2	1	no	—
680	C₂×Dic₄₇	—	2	1	no	—
681	C₂×Dic₄₇	—	2	1	no	—
682	C₂×Dic₄₇	—	2	1	no	—
683	C₂×Dic₄₇	—	2	1	no	—
684	C₂×Dic₄₇	—	2	1	no	—
685	C₂×Dic₄₇	—	2	1	no	—
686	C₂×Dic₄₇	—	2	1	no	—
687	C₂×Dic₄₇	—	2	1	no	—
688	C₂×Dic₄₇	—	2	1	no	—
689	C₂×Dic₄₇	—	2	1	no	—
690	C₂×Dic₄₇	—	2	1	no	—
691	C₂×Dic₄₇	—	2	1	no	—
692	C₂×Dic₄₇	—	2	1	no	—
693	C₂×Dic₄₇	—	2	1	no	—
694	C₂×Dic₄₇	—	2	1	no	—
695	C₂×Dic₄₇	—	2	1	no	—
696	C₂×Dic₄₇	—	2	1	no	—
697	C₂×Dic₄₇	—	2	1	no	—
698	C₂×Dic₄₇	—	2	1	no	—
699	C₂×Dic₄₇	—	2	1	no	—
700	C₂×Dic₄₇	—	2	1	no	—
701	C₂×Dic₄₇	—	2	1	no	—
702	C₂×Dic₄₇	—	2	1	no	—
703	C₂×Dic₄₇	—	2	1	no	—
704	C₂×Dic₄₇	—	2	1	no	—
705	C₂×Dic₄₇	—	2	1	no	—
706	C₂×Dic₄₇	—	2	1	no	—
707	C₂×Dic₄₇	—	2	1	no	—
708	C₂×Dic₄₇	—	2	1	no	—
709	C₂×Dic₄₇	—	2	1	no	—
710	C₂×Dic₄₇	—	2	1	no	—
711	C₂×Dic₄₇	—	2	1	no	—
712	C₂×Dic₄₇	—	2	1	no	—
713	C₂×Dic₄₇	—	2	1	no	—
714	C₂×Dic₄₇	—	8	2	no	—
715	C₂×Dic₄₇	—	8	2	no	—
716	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
717	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
718	D₁₈₈	—	4	4	no	—
719	C₄×D₄₇	—	4	4	no	—
720	C₄×D₄₇	—	4	4	no	—
721	C₄×D₄₇	—	4	4	no	—
722	C₄×D₄₇	—	4	4	no	—
723	C₄×D₄₇	—	4	4	no	—
724	C₄×D₄₇	—	8	2	no	—
725	#36746	—	47	1	no	maximal, Sylow
726	C₂²×C₄₇	—	4	1	no	—
727	C₂²×C₄₇	—	4	1	no	—
728	C₂²×C₄₇	—	4	1	no	—
729	C₂²×C₄₇	—	4	1	no	—
730	C₂²×C₄₇	—	4	1	no	—
731	C₂²×C₄₇	—	4	1	no	—
732	C₂²×C₄₇	—	4	1	no	—
733	C₂²×C₄₇	—	4	1	no	—
734	C₂²×C₄₇	—	4	1	no	—
735	C₂²×C₄₇	—	4	1	no	—
736	C₂²×C₄₇	—	4	1	no	—
737	C₂²×C₄₇	—	4	1	no	—
738	C₂²×C₄₇	—	4	1	no	—
739	C₂²×C₄₇	—	4	1	no	—
740	C₂²×C₄₇	—	4	1	no	—
741	C₂²×C₄₇	—	4	1	no	—
742	C₂²×C₄₇	—	4	1	no	—
743	C₂²×C₄₇	—	4	1	no	—
744	C₂²×C₄₇	—	4	1	no	—
745	C₂²×C₄₇	—	4	1	no	—
746	C₂²×C₄₇	—	4	1	no	—
747	C₂²×C₄₇	—	4	1	no	—
748	C₂²×C₄₇	—	4	1	no	—
749	C₂²×C₄₇	—	4	1	no	—
750	C₂²×C₄₇	—	4	1	no	—
751	C₂²×C₄₇	—	4	1	no	—
752	C₂²×C₄₇	—	4	1	no	—
753	C₂²×C₄₇	—	4	1	no	—
754	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
755	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
756	C₂²×C₄₇	#585	1	1	yes	characteristic
757	C₂²×C₄₇	#585	1	1	yes	characteristic
758	C₂²×C₄₇	#585	1	1	yes	characteristic
759	C₂²×C₄₇	#585	1	1	yes	characteristic
760	C₂²×C₄₇	#585	1	1	yes	characteristic
761	C₂×D₄₇	—	2	2	no	—
762	C₂×D₄₇	—	2	2	no	—
763	C₂×D₄₇	—	2	2	no	—
764	C₂×D₄₇	—	2	2	no	—
765	C₂×D₄₇	—	2	2	no	—
766	C₂×D₄₇	—	2	2	no	—
767	C₂×D₄₇	—	4	1	no	—
768	C₂×D₄₇	—	4	1	no	—
769	C₂×D₄₇	—	4	1	no	—
770	C₂×D₄₇	—	4	1	no	—
771	C₂×D₄₇	—	4	1	no	—
772	C₂×D₄₇	—	4	1	no	—
773	C₂×D₄₇	—	4	1	no	—
774	C₂×D₄₇	—	4	1	no	—
775	C₄×C₄₇	—	2	2	no	—
776	C₄×C₄₇	—	2	2	no	—
777	C₄×C₄₇	—	2	2	no	—
778	C₄×C₄₇	—	2	2	no	—
779	C₄×C₄₇	—	4	1	no	—
780	C₄×C₄₇	—	4	1	no	—
781	C₄×C₄₇	—	4	1	no	—
782	C₄×C₄₇	—	4	1	no	—
783	C₄×C₄₇	—	4	1	no	—
784	C₄×C₄₇	—	4	1	no	—
785	C₄×C₄₇	—	4	1	no	—
786	Dic₄₇	—	2	2	no	—
787	Dic₄₇	—	2	2	no	—
788	Dic₄₇	—	4	1	no	—
789	Dic₄₇	—	4	1	no	—
790	Dic₄₇	—	4	1	no	—
791	Dic₄₇	—	4	1	no	—
792	Dic₄₇	—	4	1	no	—
793	Dic₄₇	—	4	1	no	—
794	Dic₄₇	—	4	1	no	—
795	Dic₄₇	—	4	1	no	—
796	Dic₄₇	—	4	1	no	—
797	Dic₄₇	—	4	1	no	—
798	Dic₄₇	—	4	1	no	—
799	Dic₄₇	—	4	1	no	—
800	C₂×#540	—	47	1	no	—
801	C₂×#539	—	47	1	no	—
802	#2854	—	47	1	no	—
803	#2850	—	47	1	no	—
804	#2719	—	47	1	no	—
805	#2711	—	47	1	no	—
806	#2709	—	47	1	no	—
807	#2708	—	47	1	no	—
808	#2706	—	47	1	no	—
809	#2703	—	47	1	no	—
810	#2695	—	47	1	no	—
811	#2693	—	47	1	no	—
812	#2691	—	47	1	no	—
813	#2690	—	47	1	no	—
814	#2688	—	47	1	no	—
815	#2687	—	47	1	no	—
816	#2676	D₄₇	1	1	yes	characteristic, complemented
817	#2673	—	47	1	no	—
818	#2672	—	47	1	no	—
819	#2671	—	47	1	no	—
820	#2663	—	47	1	no	—
821	#2661	—	47	1	no	—
822	#2611	—	47	1	no	—
823	#2603	—	47	1	no	—
824	#2602	—	47	1	no	—
825	#2601	—	47	1	no	—
826	#2591	—	47	1	no	—
827	#2562	—	47	1	no	—
828	#2414	—	47	1	no	—
829	#2413	—	47	1	no	—
830	#2290	—	47	1	no	—
831	C₂×C₄₇	—	8	1	no	—
832	C₂×C₄₇	—	8	1	no	—
833	C₂×C₄₇	—	8	1	no	—
834	C₂×C₄₇	—	8	1	no	—
835	C₂×C₄₇	#3449	1	1	yes	characteristic
836	C₂×C₄₇	#3496	1	1	yes	characteristic
837	C₂×C₄₇	#3500	1	1	yes	characteristic
838	C₂×C₄₇	#3533	1	1	yes	characteristic
839	C₂×C₄₇	#3539	1	1	yes	characteristic
840	C₂×C₄₇	#3566	1	1	yes	characteristic
841	C₂×C₄₇	#3567	1	1	yes	characteristic
842	D₄₇	—	4	2	no	—
843	D₄₇	—	4	2	no	—
844	#540	—	94	8	no	—
845	#539	—	94	8	no	—
846	C₂×#127	—	47	1	no	—
847	C₂×#126	—	47	1	no	—
848	C₂×#126	—	47	1	no	—
849	C₂×#125	—	47	1	no	—
850	C₂×#125	—	47	1	no	—
851	C₂×#125	—	47	1	no	—
852	C₂×#124	C₂×D₄₇	1	1	yes	characteristic
853	C₂×#123	—	47	1	no	—
854	C₂×#123	—	47	1	no	—
855	C₂×#123	—	47	1	no	—
856	C₂×#123	—	47	1	no	—
857	C₂×#123	—	47	1	no	—
858	C₂×#123	—	47	1	no	—
859	C₂×#123	—	47	1	no	—
860	C₂×#123	—	47	1	no	—
861	C₂×#123	—	47	1	no	—
862	C₂×C₂²⋊Q₈	—	47	1	no	—
863	C₂×C₂²⋊Q₈	—	47	1	no	—
864	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
865	C₂×#121	—	47	1	no	—
866	C₂×#121	—	47	1	no	—
867	C₂×#121	—	47	1	no	—
868	C₂×#121	—	47	1	no	—
869	C₂×#121	—	47	1	no	—
870	C₂×#121	—	47	1	no	—
871	C₂×#121	—	47	1	no	—
872	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
873	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
874	C₂×C₄×D₄	—	47	1	no	—
875	C₂×C₄×D₄	—	47	1	no	—
876	C₂×C₄×D₄	—	47	1	no	—
877	C₂×#117	—	47	1	no	—
878	C₂×#117	—	47	1	no	—
879	C₂²×C₄⋊C₄	—	47	1	no	—
880	C₂²×C₄²	—	47	1	no	—
881	#400	—	47	1	no	—
882	#400	—	47	1	no	—
883	#400	—	47	1	no	—
884	#400	—	47	1	no	—
885	#400	—	47	1	no	—
886	#400	—	47	1	no	—
887	#399	—	47	1	no	—
888	#399	—	47	1	no	—
889	#398	—	47	1	no	—
890	#398	—	47	1	no	—
891	#398	—	47	1	no	—
892	#398	—	47	1	no	—
893	#398	—	47	1	no	—
894	#398	—	47	1	no	—
895	#397	—	47	1	no	—
896	#397	—	47	1	no	—
897	#397	—	47	1	no	—
898	#397	—	47	1	no	—
899	#397	—	47	1	no	—
900	#397	—	47	1	no	—
901	#396	—	47	1	no	—
902	#396	—	47	1	no	—
903	#396	—	47	1	no	—
904	#396	C₂×D₄₇	1	1	yes	characteristic
905	#395	—	47	1	no	—
906	#394	—	47	1	no	—
907	#394	—	47	1	no	—
908	#394	—	47	1	no	—
909	#394	—	47	1	no	—
910	#394	—	47	1	no	—
911	#394	—	47	1	no	—
912	#394	—	47	1	no	—
913	#394	—	47	1	no	—
914	#394	—	47	1	no	—
915	#394	—	47	1	no	—
916	#394	—	47	1	no	—
917	#394	—	47	1	no	—
918	#394	—	47	1	no	—
919	#394	C₂×D₄₇	1	1	yes	characteristic
920	#394	C₂×D₄₇	1	1	yes	characteristic
921	#393	C₂×D₄₇	1	1	yes	characteristic
922	#392	—	47	1	no	—
923	#392	—	47	1	no	—
924	#392	—	47	1	no	—
925	#392	—	47	1	no	—
926	#392	—	47	1	no	—
927	#392	C₂×D₄₇	1	1	yes	characteristic
928	#392	C₂×D₄₇	1	1	yes	characteristic
929	#391	—	47	1	no	—
930	#390	—	47	1	no	—
931	#390	—	47	1	no	—
932	#390	—	47	1	no	—
933	#390	—	47	1	no	—
934	#390	—	47	1	no	—
935	#390	C₂×D₄₇	1	1	yes	characteristic
936	#389	—	47	1	no	—
937	#389	—	47	1	no	—
938	#389	—	47	1	no	—
939	#389	—	47	1	no	—
940	#389	—	47	1	no	—
941	#388	—	47	1	no	—
942	#388	—	47	1	no	—
943	#388	—	47	1	no	—
944	#388	—	47	1	no	—
945	#388	—	47	1	no	—
946	#388	—	47	1	no	—
947	#388	—	47	1	no	—
948	#388	—	47	1	no	—
949	#388	—	47	1	no	—
950	#388	—	47	1	no	—
951	#388	—	47	1	no	—
952	#388	—	47	1	no	—
953	#388	—	47	1	no	—
954	#388	—	47	1	no	—
955	#388	—	47	1	no	—
956	#388	—	47	1	no	—
957	#387	—	47	1	no	—
958	#387	—	47	1	no	—
959	#387	—	47	1	no	—
960	#387	—	47	1	no	—
961	#387	—	47	1	no	—
962	#387	C₂×D₄₇	1	1	yes	characteristic
963	#386	—	47	1	no	—
964	#386	—	47	1	no	—
965	#386	—	47	1	no	—
966	#386	—	47	1	no	—
967	#386	—	47	1	no	—
968	#386	—	47	1	no	—
969	#386	—	47	1	no	—
970	#386	—	47	1	no	—
971	#386	—	47	1	no	—
972	#386	—	47	1	no	—
973	#386	—	47	1	no	—
974	#386	—	47	1	no	—
975	#386	—	47	1	no	—
976	#386	—	47	1	no	—
977	#386	—	47	1	no	—
978	#386	C₂×D₄₇	1	1	yes	characteristic
979	#386	C₂×D₄₇	1	1	yes	characteristic
980	#385	—	47	1	no	—
981	#385	—	47	1	no	—
982	#385	—	47	1	no	—
983	#385	—	47	1	no	—
984	#385	—	47	1	no	—
985	#385	—	47	1	no	—
986	#385	—	47	1	no	—
987	#385	—	47	1	no	—
988	#385	C₂×D₄₇	1	1	yes	characteristic
989	#382	—	47	1	no	—
990	#381	—	47	1	no	—
991	#380	—	47	1	no	—
992	#380	—	47	1	no	—
993	#380	—	47	1	no	—
994	#380	—	47	1	no	—
995	#380	—	47	1	no	—
996	#380	—	47	1	no	—
997	C₄×C₄⋊C₄	—	47	1	no	—
998	C₄×C₂²⋊C₄	—	47	1	no	—
999	C₄×C₂²⋊C₄	—	47	1	no	—
1000	#376	—	47	1	no	—
1001	C₄₇	#36746	1	1	yes	characteristic, complemented, Sylow
1002	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
1003	C₂²×D₄	—	47	1	no	—
1004	C₂²×D₄	—	47	1	no	—
1005	C₂²×D₄	—	47	1	no	—
1006	C₂²×D₄	—	47	1	no	—
1007	C₂²×D₄	—	47	1	no	—
1008	C₂²×D₄	—	47	1	no	—
1009	C₂²×D₄	—	47	1	no	—
1010	C₂²×D₄	—	47	1	no	—
1011	C₂²×D₄	—	47	1	no	—
1012	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1013	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1014	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1015	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1016	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1017	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1018	C₂³×C₄	—	47	1	no	—
1019	C₂³×C₄	—	47	1	no	—
1020	C₂³×C₄	—	47	1	no	—
1021	C₂³×C₄	—	47	1	no	—
1022	C₂³×C₄	—	47	1	no	—
1023	C₂³×C₄	—	47	1	no	—
1024	C₂³×C₄	—	47	1	no	—
1025	C₂³×C₄	—	47	1	no	—
1026	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
1027	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
1028	#127	—	94	4	no	—
1029	#126	—	94	4	no	—
1030	#126	—	94	4	no	—
1031	#125	—	94	4	no	—
1032	#125	—	94	4	no	—
1033	#125	—	94	4	no	—
1034	#124	—	4	2	no	—
1035	#123	—	94	4	no	—
1036	#123	—	94	4	no	—
1037	#123	—	94	4	no	—
1038	#123	—	94	4	no	—
1039	#123	—	94	4	no	—
1040	#123	—	94	4	no	—
1041	#123	—	94	4	no	—
1042	#123	—	94	4	no	—
1043	#123	—	188	2	no	—
1044	C₂²⋊Q₈	—	2	4	no	—
1045	C₂²⋊Q₈	—	94	4	no	—
1046	C₂²⋊Q₈	—	94	4	no	—
1047	#121	—	2	4	no	—
1048	#121	—	4	2	no	—
1049	#121	—	94	4	no	—
1050	#121	—	94	4	no	—
1051	#121	—	94	4	no	—
1052	#121	—	94	4	no	—
1053	#121	—	94	4	no	—
1054	#121	—	94	4	no	—
1055	#121	—	188	2	no	—
1056	C₄×D₄	—	47	8	no	—
1057	C₄×D₄	—	94	4	no	—
1058	C₄×D₄	—	94	4	no	—
1059	#117	—	94	4	no	—
1060	#117	—	188	2	no	—
1061	C₂×C₄⋊C₄	—	47	1	no	—
1062	C₂×C₄⋊C₄	—	47	1	no	—
1063	C₂×C₄⋊C₄	—	47	1	no	—
1064	C₂×C₄⋊C₄	—	47	1	no	—
1065	C₂×C₄⋊C₄	—	47	1	no	—
1066	C₂×C₄⋊C₄	—	47	1	no	—
1067	C₂×C₄⋊C₄	—	47	1	no	—
1068	C₂×C₄⋊C₄	—	47	1	no	—
1069	C₂×C₄⋊C₄	—	47	1	no	—
1070	C₂×C₄⋊C₄	—	47	1	no	—
1071	C₂×C₄⋊C₄	—	47	1	no	—
1072	C₂×C₄⋊C₄	—	47	1	no	—
1073	C₂×C₄⋊C₄	—	47	1	no	—
1074	C₂×C₄⋊C₄	—	47	1	no	—
1075	C₂×C₄⋊C₄	—	47	1	no	—
1076	C₂×C₄⋊C₄	—	47	1	no	—
1077	C₂×C₄⋊C₄	—	47	1	no	—
1078	C₂×C₄⋊C₄	—	47	1	no	—
1079	C₂×C₄⋊C₄	—	47	1	no	—
1080	C₂×C₄⋊C₄	—	47	1	no	—
1081	C₂×C₄⋊C₄	—	47	1	no	—
1082	C₂×C₄⋊C₄	—	47	1	no	—
1083	C₂×C₄⋊C₄	—	47	1	no	—
1084	C₂×C₄⋊C₄	—	47	1	no	—
1085	C₂×C₄⋊C₄	—	47	1	no	—
1086	C₂×C₄⋊C₄	—	47	1	no	—
1087	C₂×C₄⋊C₄	—	47	1	no	—
1088	C₂×C₄⋊C₄	—	47	1	no	—
1089	C₂×C₄⋊C₄	—	47	1	no	—
1090	C₂×C₄⋊C₄	—	94	4	no	—
1091	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1092	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1093	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1094	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1095	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	—	47	1	no	—
1097	C₂×C₂²⋊C₄	—	47	1	no	—
1098	C₂×C₂²⋊C₄	—	47	1	no	—
1099	C₂×C₂²⋊C₄	—	47	1	no	—
1100	C₂×C₂²⋊C₄	—	47	1	no	—
1101	C₂×C₂²⋊C₄	—	47	1	no	—
1102	C₂×C₂²⋊C₄	—	47	1	no	—
1103	C₂×C₂²⋊C₄	—	47	1	no	—
1104	C₂×C₂²⋊C₄	—	47	1	no	—
1105	C₂×C₂²⋊C₄	—	47	1	no	—
1106	C₂×C₂²⋊C₄	—	47	1	no	—
1107	C₂×C₂²⋊C₄	—	47	1	no	—
1108	C₂×C₂²⋊C₄	—	47	1	no	—
1109	C₂×C₂²⋊C₄	—	47	1	no	—
1110	C₂×C₂²⋊C₄	—	47	1	no	—
1111	C₂×C₂²⋊C₄	—	47	1	no	—
1112	C₂×C₂²⋊C₄	—	47	1	no	—
1113	C₂×C₂²⋊C₄	—	47	1	no	—
1114	C₂×C₂²⋊C₄	—	47	1	no	—
1115	C₂×C₂²⋊C₄	—	47	1	no	—
1116	C₂×C₂²⋊C₄	—	47	1	no	—
1117	C₂×C₂²⋊C₄	—	47	1	no	—
1118	C₂×C₂²⋊C₄	—	47	1	no	—
1119	C₂×C₂²⋊C₄	—	47	1	no	—
1120	C₂×C₂²⋊C₄	—	47	1	no	—
1121	C₂×C₂²⋊C₄	—	47	1	no	—
1122	C₂×C₂²⋊C₄	—	47	1	no	—
1123	C₂×C₂²⋊C₄	—	47	1	no	—
1124	C₂×C₂²⋊C₄	—	47	1	no	—
1125	C₂×C₂²⋊C₄	—	47	1	no	—
1126	C₂×C₂²⋊C₄	—	47	1	no	—
1127	C₂×C₂²⋊C₄	—	47	1	no	—
1128	C₂×C₂²⋊C₄	—	47	1	no	—
1129	C₂×C₂²⋊C₄	—	47	1	no	—
1130	C₂×C₂²⋊C₄	—	47	1	no	—
1131	C₂×C₂²⋊C₄	—	47	1	no	—
1132	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1133	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1134	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1135	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1136	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1137	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1138	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1139	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1140	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1141	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1142	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1143	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1144	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1145	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1146	C₂×C₄²	—	47	1	no	—
1147	C₂×C₄²	—	47	1	no	—
1148	C₂×C₄²	—	47	1	no	—
1149	C₂×C₄²	—	47	1	no	—
1150	C₂×C₄²	—	47	1	no	—
1151	C₂×C₄²	—	47	1	no	—
1152	C₂×C₄²	—	47	1	no	—
1153	C₂×C₄²	—	47	1	no	—
1154	C₂×C₄²	—	188	2	no	—
1155	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1156	#95	—	47	1	no	—
1157	#95	—	47	1	no	—
1158	#95	—	47	1	no	—
1159	#95	—	47	1	no	—
1160	#95	—	47	1	no	—
1161	#95	—	47	1	no	—
1162	#95	—	47	1	no	—
1163	#95	—	47	1	no	—
1164	#95	—	47	1	no	—
1165	#95	—	47	1	no	—
1166	#95	—	47	1	no	—
1167	#95	—	47	1	no	—
1168	#95	—	47	1	no	—
1169	#95	—	47	1	no	—
1170	#95	—	47	1	no	—
1171	#95	—	47	1	no	—
1172	#95	—	47	1	no	—
1173	#95	—	47	1	no	—
1174	#95	—	47	1	no	—
1175	#95	—	47	1	no	—
1176	#95	—	47	1	no	—
1177	#95	—	47	1	no	—
1178	#95	—	47	1	no	—
1179	#95	—	47	1	no	—
1180	#95	—	47	1	no	—
1181	#95	—	47	1	no	—
1182	#95	—	47	1	no	—
1183	#95	—	47	1	no	—
1184	#95	—	47	1	no	—
1185	#95	—	47	1	no	—
1186	#95	C₂²×D₄₇	1	1	yes	characteristic
1187	#95	C₂²×D₄₇	1	1	yes	characteristic
1188	#95	C₂²×D₄₇	1	1	yes	characteristic
1189	#95	C₂²×D₄₇	1	1	yes	characteristic
1190	#95	C₂²×D₄₇	1	1	yes	characteristic
1191	#95	C₂²×D₄₇	1	1	yes	characteristic
1192	C₂⁴	—	47	1	no	—
1193	C₂⁴	—	47	1	no	—
1194	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1195	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1196	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1197	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1198	C₂×Q₈	—	2	2	no	—
1199	C₂×Q₈	—	4	1	no	—
1200	C₂×Q₈	—	4	1	no	—
1201	C₂×D₄	—	2	2	no	—
1202	C₂×D₄	—	2	2	no	—
1203	C₂×D₄	—	2	2	no	—
1204	C₂×D₄	—	2	2	no	—
1205	C₂×D₄	—	4	1	no	—
1206	C₂×D₄	—	4	1	no	—
1207	C₂×D₄	—	4	1	no	—
1208	C₂×D₄	—	4	1	no	—
1209	C₂×D₄	—	4	1	no	—
1210	C₂×D₄	—	4	1	no	—
1211	C₂×D₄	—	4	1	no	—
1212	C₂×D₄	—	4	1	no	—
1213	C₂×D₄	—	4	1	no	—
1214	C₂×D₄	—	4	1	no	—
1215	C₂×D₄	—	4	1	no	—
1216	C₂×D₄	—	4	1	no	—
1217	C₂×D₄	—	4	1	no	—
1218	C₂×D₄	—	4	1	no	—
1219	C₂×D₄	—	47	4	no	—
1220	C₂×D₄	—	94	2	no	—
1221	C₂×D₄	—	94	2	no	—
1222	C₂×D₄	—	94	2	no	—
1223	C₂×D₄	—	94	2	no	—
1224	C₂×D₄	—	94	2	no	—
1225	C₂×D₄	—	94	2	no	—
1226	C₂×D₄	—	94	2	no	—
1227	C₂×D₄	—	94	2	no	—
1228	C₂×D₄	—	188	1	no	—
1229	C₂×D₄	—	188	1	no	—
1230	C₂×D₄	—	188	1	no	—
1231	C₂×D₄	—	188	1	no	—
1232	C₂×D₄	—	188	1	no	—
1233	C₂×D₄	—	188	1	no	—
1234	C₂×D₄	—	188	1	no	—
1235	C₂×D₄	—	188	1	no	—
1236	C₂×D₄	—	188	1	no	—
1237	C₂×D₄	—	188	1	no	—
1238	C₂×D₄	—	188	1	no	—
1239	C₂×D₄	—	188	1	no	—
1240	C₂×D₄	—	188	1	no	—
1241	C₂×D₄	—	188	1	no	—
1242	C₂×D₄	—	188	1	no	—
1243	C₂×D₄	—	188	1	no	—
1244	C₂×D₄	—	188	1	no	—
1245	C₂×D₄	—	188	1	no	—
1246	C₂²×C₄	—	2	2	no	—
1247	C₂²×C₄	—	2	2	no	—
1248	C₂²×C₄	—	4	1	no	—
1249	C₂²×C₄	—	4	1	no	—
1250	C₂²×C₄	—	4	1	no	—
1251	C₂²×C₄	—	4	1	no	—
1252	C₂²×C₄	—	47	1	no	—
1253	C₂²×C₄	—	47	1	no	—
1254	C₂²×C₄	—	47	4	no	—
1255	C₂²×C₄	—	47	4	no	—
1256	C₂²×C₄	—	47	1	no	—
1257	C₂²×C₄	—	47	1	no	—
1258	C₂²×C₄	—	47	1	no	—
1259	C₂²×C₄	—	47	1	no	—
1260	C₂²×C₄	—	47	1	no	—
1261	C₂²×C₄	—	47	1	no	—
1262	C₂²×C₄	—	47	1	no	—
1263	C₂²×C₄	—	47	1	no	—
1264	C₂²×C₄	—	47	1	no	—
1265	C₂²×C₄	—	47	1	no	—
1266	C₂²×C₄	—	47	1	no	—
1267	C₂²×C₄	—	47	1	no	—
1268	C₂²×C₄	—	94	2	no	—
1269	C₂²×C₄	—	94	2	no	—
1270	C₂²×C₄	—	94	2	no	—
1271	C₂²×C₄	—	94	2	no	—
1272	C₂²×C₄	—	94	2	no	—
1273	C₂²×C₄	—	188	1	no	—
1274	C₂²×C₄	—	188	1	no	—
1275	C₂²×C₄	—	188	1	no	—
1276	C₂²×C₄	—	188	1	no	—
1277	C₂²×C₄	—	188	1	no	—
1278	C₂²×C₄	—	188	1	no	—
1279	C₂²×C₄	—	188	1	no	—
1280	C₂²×C₄	—	188	1	no	—
1281	C₂²×C₄	—	188	1	no	—
1282	C₂²×C₄	—	188	1	no	—
1283	C₂²×C₄	—	188	1	no	—
1284	C₂²×C₄	—	188	1	no	—
1285	C₂²×C₄	—	188	1	no	—
1286	C₂²×C₄	—	188	1	no	—
1287	C₂²×C₄	—	188	1	no	—
1288	C₂²×C₄	—	188	1	no	—
1289	C₂²×C₄	—	188	1	no	—
1290	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1291	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1292	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1293	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1294	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1295	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1296	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1297	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1298	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1299	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1300	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1301	C₄⋊C₄	—	2	2	no	—
1302	C₄⋊C₄	—	2	2	no	—
1303	C₄⋊C₄	—	2	2	no	—
1304	C₄⋊C₄	—	4	1	no	—
1305	C₄⋊C₄	—	94	2	no	—
1306	C₄⋊C₄	—	94	2	no	—
1307	C₄⋊C₄	—	94	2	no	—
1308	C₄⋊C₄	—	94	2	no	—
1309	C₄⋊C₄	—	94	2	no	—
1310	C₄⋊C₄	—	94	2	no	—
1311	C₄⋊C₄	—	94	2	no	—
1312	C₄⋊C₄	—	94	2	no	—
1313	C₄⋊C₄	—	94	2	no	—
1314	C₄⋊C₄	—	94	2	no	—
1315	C₄⋊C₄	—	94	2	no	—
1316	C₄⋊C₄	—	94	2	no	—
1317	C₄⋊C₄	—	94	2	no	—
1318	C₄⋊C₄	—	94	2	no	—
1319	C₄⋊C₄	—	94	2	no	—
1320	C₄⋊C₄	—	94	2	no	—
1321	C₄⋊C₄	—	94	2	no	—
1322	C₄⋊C₄	—	94	2	no	—
1323	C₄⋊C₄	—	94	2	no	—
1324	C₄⋊C₄	—	188	1	no	—
1325	C₄⋊C₄	—	188	1	no	—
1326	C₄⋊C₄	—	188	1	no	—
1327	C₄⋊C₄	—	188	1	no	—
1328	C₄⋊C₄	—	188	1	no	—
1329	C₄⋊C₄	—	188	1	no	—
1330	C₄⋊C₄	—	188	1	no	—
1331	C₄⋊C₄	—	188	1	no	—
1332	C₄⋊C₄	—	188	1	no	—
1333	C₄⋊C₄	—	188	1	no	—
1334	C₄⋊C₄	D₄×D₄₇	1	4	yes	—
1335	C₂²⋊C₄	—	2	2	no	—
1336	C₂²⋊C₄	—	2	2	no	—
1337	C₂²⋊C₄	—	2	2	no	—
1338	C₂²⋊C₄	—	2	2	no	—
1339	C₂²⋊C₄	—	2	2	no	—
1340	C₂²⋊C₄	—	2	2	no	—
1341	C₂²⋊C₄	—	4	1	no	—
1342	C₂²⋊C₄	—	4	1	no	—
1343	C₂²⋊C₄	—	4	1	no	—
1344	C₂²⋊C₄	—	4	1	no	—
1345	C₂²⋊C₄	—	4	1	no	—
1346	C₂²⋊C₄	—	4	1	no	—
1347	C₂²⋊C₄	—	4	1	no	—
1348	C₂²⋊C₄	—	4	1	no	—
1349	C₂²⋊C₄	—	47	4	no	—
1350	C₂²⋊C₄	—	47	4	no	—
1351	C₂²⋊C₄	—	94	2	no	—
1352	C₂²⋊C₄	—	94	2	no	—
1353	C₂²⋊C₄	—	94	2	no	—
1354	C₂²⋊C₄	—	94	2	no	—
1355	C₂²⋊C₄	—	94	2	no	—
1356	C₂²⋊C₄	—	94	2	no	—
1357	C₂²⋊C₄	—	94	2	no	—
1358	C₂²⋊C₄	—	94	2	no	—
1359	C₂²⋊C₄	—	94	2	no	—
1360	C₂²⋊C₄	—	94	2	no	—
1361	C₂²⋊C₄	—	94	2	no	—
1362	C₂²⋊C₄	—	94	2	no	—
1363	C₂²⋊C₄	—	94	2	no	—
1364	C₂²⋊C₄	—	188	1	no	—
1365	C₂²⋊C₄	—	188	1	no	—
1366	C₂²⋊C₄	—	188	1	no	—
1367	C₂²⋊C₄	—	188	1	no	—
1368	C₂²⋊C₄	—	188	1	no	—
1369	C₂²⋊C₄	—	188	1	no	—
1370	C₂²⋊C₄	—	188	1	no	—
1371	C₂²⋊C₄	—	188	1	no	—
1372	C₂²⋊C₄	—	188	1	no	—
1373	C₂²⋊C₄	—	188	1	no	—
1374	C₂²⋊C₄	—	188	1	no	—
1375	C₂²⋊C₄	—	188	1	no	—
1376	C₂²⋊C₄	—	188	1	no	—
1377	C₂²⋊C₄	—	188	1	no	—
1378	C₂²⋊C₄	—	188	1	no	—
1379	C₂²⋊C₄	—	188	1	no	—
1380	C₂²⋊C₄	—	188	1	no	—
1381	C₂²⋊C₄	—	188	1	no	—
1382	C₂²⋊C₄	—	188	1	no	—
1383	C₂²⋊C₄	—	188	1	no	—
1384	C₂²⋊C₄	—	188	1	no	—
1385	C₄²	—	2	2	no	—
1386	C₄²	—	47	4	no	—
1387	C₄²	—	94	2	no	—
1388	C₄²	—	94	2	no	—
1389	C₄²	—	94	2	no	—
1390	C₄²	—	188	1	no	—
1391	C₄²	—	188	1	no	—
1392	C₄²	—	188	1	no	—
1393	C₄²	—	188	1	no	—
1394	C₂³	—	2	1	no	—
1395	C₂³	—	2	1	no	—
1396	C₂³	—	2	1	no	—
1397	C₂³	—	2	1	no	—
1398	C₂³	—	2	1	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	2	1	no	—
1401	C₂³	—	2	1	no	—
1402	C₂³	—	2	1	no	—
1403	C₂³	—	2	1	no	—
1404	C₂³	—	2	1	no	—
1405	C₂³	—	2	1	no	—
1406	C₂³	—	2	1	no	—
1407	C₂³	—	2	1	no	—
1408	C₂³	—	2	1	no	—
1409	C₂³	—	2	1	no	—
1410	C₂³	—	2	1	no	—
1411	C₂³	—	2	1	no	—
1412	C₂³	—	2	1	no	—
1413	C₂³	—	2	1	no	—
1414	C₂³	—	2	1	no	—
1415	C₂³	—	2	1	no	—
1416	C₂³	—	2	1	no	—
1417	C₂³	—	2	1	no	—
1418	C₂³	—	2	1	no	—
1419	C₂³	—	2	1	no	—
1420	C₂³	—	2	1	no	—
1421	C₂³	—	2	1	no	—
1422	C₂³	—	47	2	no	—
1423	C₂³	—	47	2	no	—
1424	C₂³	—	94	1	no	—
1425	C₂³	—	94	1	no	—
1426	C₂³	—	94	1	no	—
1427	C₂³	—	94	1	no	—
1428	C₂³	—	94	1	no	—
1429	C₂³	—	94	1	no	—
1430	C₂³	—	94	1	no	—
1431	C₂³	—	94	1	no	—
1432	C₂³	—	94	1	no	—
1433	C₂³	—	94	1	no	—
1434	C₂³	—	94	1	no	—
1435	C₂³	—	94	1	no	—
1436	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1437	Q₈	—	8	2	no	—
1438	D₄	—	4	4	no	—
1439	D₄	—	8	2	no	—
1440	D₄	—	8	2	no	—
1441	D₄	—	8	2	no	—
1442	D₄	—	8	2	no	—
1443	D₄	—	8	2	no	—
1444	D₄	—	376	2	no	—
1445	D₄	—	376	2	no	—
1446	D₄	—	376	2	no	—
1447	D₄	—	376	2	no	—
1448	D₄	—	376	2	no	—
1449	D₄	—	376	2	no	—
1450	D₄	—	376	2	no	—
1451	D₄	—	188	4	no	—
1452	D₄	—	188	4	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	4	4	no	—
1483	C₂×C₄	—	8	2	no	—
1484	C₂×C₄	—	47	2	no	—
1485	C₂×C₄	—	47	2	no	—
1486	C₂×C₄	—	94	1	no	—
1487	C₂×C₄	—	94	1	no	—
1488	C₂×C₄	—	94	1	no	—
1489	C₂×C₄	—	94	1	no	—
1490	C₂×C₄	—	94	1	no	—
1491	C₂×C₄	—	94	1	no	—
1492	C₂×C₄	—	94	1	no	—
1493	C₂×C₄	—	94	1	no	—
1494	C₂×C₄	—	94	1	no	—
1495	C₂×C₄	—	94	1	no	—
1496	C₂×C₄	—	94	1	no	—
1497	C₂×C₄	—	94	1	no	—
1498	C₂×C₄	—	94	1	no	—
1499	C₂×C₄	—	94	1	no	—
1500	C₂×C₄	—	94	1	no	—
1501	C₂×C₄	—	94	1	no	—
1502	C₂×C₄	—	94	1	no	—
1503	C₂×C₄	—	94	1	no	—
1504	C₂×C₄	—	94	1	no	—
1505	C₂×C₄	—	94	1	no	—
1506	C₂×C₄	—	94	1	no	—
1507	C₂×C₄	—	94	1	no	—
1508	C₂×C₄	—	94	1	no	—
1509	C₂×C₄	—	94	1	no	—
1510	C₂×C₄	—	94	1	no	—
1511	C₂×C₄	—	94	1	no	—
1512	C₂×C₄	—	94	1	no	—
1513	C₂×C₄	—	94	1	no	—
1514	C₂×C₄	—	94	1	no	—
1515	C₂×C₄	—	94	1	no	—
1516	C₂×C₄	—	94	1	no	—
1517	C₂×C₄	—	94	1	no	—
1518	C₂×C₄	—	94	1	no	—
1519	C₂×C₄	—	94	1	no	—
1520	C₂×C₄	—	94	1	no	—
1521	C₂×C₄	—	94	1	no	—
1522	C₂×C₄	—	94	1	no	—
1523	C₂×C₄	—	94	1	no	—
1524	C₂×C₄	—	94	1	no	—
1525	C₂×C₄	—	94	1	no	—
1526	C₂×C₄	—	376	2	no	—
1527	C₂×C₄	—	376	2	no	—
1528	C₂×C₄	—	376	2	no	—
1529	C₂×C₄	—	188	4	no	—
1530	C₂×C₄	—	188	4	no	—
1531	C₂×C₄	—	188	4	no	—
1532	C₂×C₄	—	188	4	no	—
1533	C₂×C₄	—	188	4	no	—
1534	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
1535	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
1536	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
1537	C₂×C₄	#13094069	1	2	yes	—
1538	C₂²	—	4	1	no	—
1539	C₂²	—	4	1	no	—
1540	C₂²	—	4	1	no	—
1541	C₂²	—	4	1	no	—
1542	C₂²	—	4	1	no	—
1543	C₂²	—	4	1	no	—
1544	C₂²	—	4	1	no	—
1545	C₂²	—	4	1	no	—
1546	C₂²	—	4	1	no	—
1547	C₂²	—	4	1	no	—
1548	C₂²	—	4	1	no	—
1549	C₂²	—	4	1	no	—
1550	C₂²	—	4	1	no	—
1551	C₂²	—	4	1	no	—
1552	C₂²	—	4	1	no	—
1553	C₂²	—	4	1	no	—
1554	C₂²	—	4	1	no	—
1555	C₂²	—	4	1	no	—
1556	C₂²	—	4	1	no	—
1557	C₂²	—	4	1	no	—
1558	C₂²	—	4	1	no	—
1559	C₂²	—	4	1	no	—
1560	C₂²	—	4	1	no	—
1561	C₂²	—	4	1	no	—
1562	C₂²	—	4	1	no	—
1563	C₂²	—	4	1	no	—
1564	C₂²	—	4	1	no	—
1565	C₂²	—	4	1	no	—
1566	C₂²	—	94	2	no	—
1567	C₂²	—	94	2	no	—
1568	C₂²	—	94	2	no	—
1569	C₂²	—	94	2	no	—
1570	C₂²	—	94	2	no	—
1571	C₂²	—	94	2	no	—
1572	C₂²	—	188	1	no	—
1573	C₂²	—	188	1	no	—
1574	C₂²	—	188	1	no	—
1575	C₂²	—	188	1	no	—
1576	C₂²	—	188	1	no	—
1577	C₂²	—	188	1	no	—
1578	C₂²	—	188	1	no	—
1579	C₂²	—	188	1	no	—
1580	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
1581	C₂²	C₂×#13094069	1	1	yes	characteristic
1582	C₂²	#15689958	1	1	yes	characteristic
1583	C₂²	#15689958	1	1	yes	characteristic
1584	C₂²	#15689958	1	1	yes	characteristic
1585	C₂²	#15689959	1	1	yes	characteristic
1586	C₂²	#15689960	1	1	yes	characteristic
1587	C₄	—	2	2	no	—
1588	C₄	—	2	2	no	—
1589	C₄	—	2	2	no	—
1590	C₄	—	2	2	no	—
1591	C₄	—	4	1	no	—
1592	C₄	—	4	1	no	—
1593	C₄	—	4	1	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	4	1	no	—
1598	C₄	—	94	2	no	—
1599	C₄	—	94	2	no	—
1600	C₄	—	188	1	no	—
1601	C₄	—	188	1	no	—
1602	C₄	—	188	1	no	—
1603	C₄	—	188	1	no	—
1604	C₄	—	188	1	no	—
1605	C₄	—	188	1	no	—
1606	C₄	—	188	1	no	—
1607	C₄	—	188	1	no	—
1608	C₄	—	188	1	no	—
1609	C₄	—	188	1	no	—
1610	C₄	—	188	1	no	—
1611	C₄	—	188	1	no	—
1612	C₂	—	8	1	no	—
1613	C₂	—	8	1	no	—
1614	C₂	—	8	1	no	—
1615	C₂	—	8	1	no	—
1616	C₂	—	188	2	no	—
1617	C₂	—	188	2	no	—
1618	C₂	#20256719	1	1	yes	characteristic
1619	C₂	#20257144	1	1	yes	characteristic
1620	C₂	#20257179	1	1	yes	characteristic
1621	C₂	#20257547	1	1	yes	characteristic
1622	C₂	#20257641	1	1	yes	characteristic
1623	C₂	#20258055	1	1	yes	characteristic
1624	C₂	#20258075	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator, socle, cosocle	C₂³×C₄₇	C₂⁵
Fitting	C₄₇×#2676	C₂
hypercenter	#2676	D₄₇
hypocenter	C₄₇	#36746
LCS	G ▷ C₂³×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ #2676

Complements

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

N	H ≅ G/N	type
1. C₂×#15689726	C₂	semidirect
2. C₂×#15689719	C₂	semidirect
3. #20251718	C₂	semidirect
4. #20251684	C₂	semidirect
5. #20250251	C₂	semidirect
6. #20250139	C₂	semidirect
7. #20250122	C₂	semidirect
8. #20250107	C₂	semidirect
9. #20250071	C₂	semidirect
10. #20250024	C₂	semidirect
11. #20249930	C₂	semidirect
12. #20249899	C₂	semidirect
13. #20249874	C₂	semidirect
14. #20249850	C₂	semidirect
15. #20249825	C₂	semidirect
16. #20249808	C₂	semidirect
17. #20249659	C₂	semidirect
18. #20249634	C₂	semidirect
19. #20249620	C₂	semidirect
20. #20249544	C₂	semidirect
21. #20249519	C₂	semidirect
22. #20249082	C₂	semidirect
23. #20249008	C₂	semidirect
24. #20248996	C₂	semidirect
25. #20248981	C₂	semidirect
26. #20248862	C₂	semidirect
27. #20248548	C₂	semidirect
28. #20246802	C₂	semidirect
29. #20246790	C₂	semidirect
30. #20245826	C₂	semidirect
31. C₄₇×#2676	C₂	semidirect
231. #13093986	D₄	semidirect
816. #2676	D₄₇	semidirect
1001. C₄₇	#36746	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689726	2
C₂×#15689719	2
#20251718	2
#20251684	2
#20250251	2
#20250139	2
#20250122	2
#20250107	2
#20250071	2
#20250024	2
#20249930	2
#20249899	2
#20249874	2
#20249850	2
#20249825	2
#20249808	2
#20249659	2
#20249634	2
#20249620	2
#20249544	2
#20249519	2
#20249082	2
#20249008	2
#20248996	2
#20248981	2
#20248862	2
#20248548	2
#20246802	2
#20246790	2
#20245826	2
C₄₇×#2676	2
#36746	47