Subgroups — #26430759

Order 12032.

1526 conjugacy classes of subgroups.

The subgroup lattice has 1364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20251778	C₂	1	1	yes	maximal, characteristic, complemented
2	#20251772	C₂	1	1	yes	maximal, characteristic, complemented
3	#20251240	C₂	1	1	yes	maximal, characteristic
4	#20251126	C₂	1	1	yes	maximal, characteristic, complemented
5	#20251113	C₂	1	1	yes	maximal, characteristic, complemented
6	#20251107	C₂	1	1	yes	maximal, characteristic, complemented
7	#20250938	C₂	1	1	yes	maximal, characteristic, complemented
8	#20250832	C₂	1	1	yes	maximal, characteristic, complemented
9	#20250756	C₂	1	1	yes	maximal, characteristic, complemented
10	#20250702	C₂	1	1	yes	maximal, characteristic, complemented
11	#20250671	C₂	1	1	yes	maximal, characteristic
12	#20250519	C₂	1	1	yes	maximal, characteristic, complemented
13	#20250509	C₂	1	1	yes	maximal, characteristic, complemented
14	#20250485	C₂	1	1	yes	maximal, characteristic, complemented
15	#20250312	C₂	1	1	yes	maximal, characteristic, complemented
16	#20250019	C₂	1	1	yes	maximal, characteristic, complemented
17	#20250018	C₂	1	1	yes	maximal, characteristic, complemented
18	#20249963	C₂	1	1	yes	maximal, characteristic, complemented
19	#20249457	C₂	1	1	yes	maximal, characteristic, complemented
20	#20249440	C₂	1	1	yes	maximal, characteristic, complemented
21	#20248977	C₂	1	1	yes	maximal, characteristic
22	#20248888	C₂	1	1	yes	maximal, characteristic, complemented
23	#20248567	C₂	1	1	yes	maximal, characteristic, complemented
24	#20247619	C₂	1	1	yes	maximal, characteristic, complemented
25	#20247606	C₂	1	1	yes	maximal, characteristic, complemented
26	#20247061	C₂	1	1	yes	maximal, characteristic, complemented
27	#20246816	C₂	1	1	yes	maximal, characteristic, complemented
28	#20246139	C₂	1	1	yes	maximal, characteristic, complemented
29	#20246020	C₂	1	1	yes	maximal, characteristic, complemented
30	#20245849	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#2588	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13094019	C₂²	1	1	yes	characteristic
33	C₂×#13094018	C₂²	1	1	yes	characteristic
34	C₂×#13094002	C₂²	1	1	yes	characteristic
35	C₂×#13094002	C₂²	1	1	yes	characteristic
36	C₂×#13094000	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
38	C₂×#13093986	C₂²	1	1	yes	characteristic
39	C₂×#13093981	C₂²	1	1	yes	characteristic
40	C₂×#13093981	C₂²	1	1	yes	characteristic
41	C₄₇⋊#401	C₂²	1	1	yes	characteristic
42	C₄₇⋊#401	C₂²	1	1	yes	characteristic
43	#15689065	C₂²	1	1	yes	characteristic
44	#15689064	C₂²	1	1	yes	characteristic
45	#15689064	C₂²	1	1	yes	characteristic
46	#15689063	C₂²	1	1	yes	characteristic
47	#15689061	C₂²	1	1	yes	characteristic
48	#15689058	C₂²	1	1	yes	characteristic
49	#15689058	C₂²	1	1	yes	characteristic
50	#15689058	C₂²	1	1	yes	characteristic
51	#15689057	C₂²	1	1	yes	characteristic
52	#15689057	C₂²	1	1	yes	characteristic
53	#15689057	C₂²	1	1	yes	characteristic
54	#15689057	C₂²	1	1	yes	characteristic
55	#15689056	C₂²	1	1	yes	characteristic
56	#15689056	C₂²	1	1	yes	characteristic
57	#15689054	C₂²	1	1	yes	characteristic
58	#15689053	C₂²	1	1	yes	characteristic
59	#15689052	C₂²	1	1	yes	characteristic
60	#15689052	C₂²	1	1	yes	characteristic
61	#15689052	C₂²	1	1	yes	characteristic
62	#15689052	C₂²	1	1	yes	characteristic
63	#15689052	C₂²	1	1	yes	characteristic
64	#15689052	C₂²	1	1	yes	characteristic
65	#15689050	C₂²	1	1	yes	characteristic
66	#15689050	C₂²	1	1	yes	characteristic
67	#15689049	C₂²	1	1	yes	characteristic
68	#15689049	C₂²	1	1	yes	characteristic
69	#15689049	C₂²	1	1	yes	characteristic
70	#15689047	C₂²	1	1	yes	characteristic
71	#15689045	C₂²	1	1	yes	characteristic
72	#15689044	C₂²	1	1	yes	characteristic
73	#15689042	C₂²	1	1	yes	characteristic
74	#15689041	C₂²	1	1	yes	characteristic
75	#15689041	C₂²	1	1	yes	characteristic
76	#15689041	C₂²	1	1	yes	characteristic
77	#15689041	C₂²	1	1	yes	characteristic
78	#15689040	C₂²	1	1	yes	characteristic
79	#15689040	C₂²	1	1	yes	characteristic
80	#15689040	C₂²	1	1	yes	characteristic
81	#15689036	C₂²	1	1	yes	characteristic
82	#15689034	C₂²	1	1	yes	characteristic
83	#15689034	C₂²	1	1	yes	characteristic
84	#15689033	C₂²	1	1	yes	characteristic
85	#15689029	C₂²	1	1	yes	characteristic
86	#15689027	C₂²	1	1	yes	characteristic
87	#15689027	C₂²	1	1	yes	characteristic
88	#15689025	C₂²	1	1	yes	characteristic
89	#15689024	C₂²	1	1	yes	characteristic
90	#15689024	C₂²	1	1	yes	characteristic
91	#15689020	C₂²	1	1	yes	characteristic
92	#15689020	C₂²	1	1	yes	characteristic
93	#15689019	C₂²	1	1	yes	characteristic
94	#15689019	C₂²	1	1	yes	characteristic
95	#15689018	C₂²	1	1	yes	characteristic
96	#15689018	C₂²	1	1	yes	characteristic
97	#15689018	C₂²	1	1	yes	characteristic
98	#15689018	C₂²	1	1	yes	characteristic
99	#15689018	C₂²	1	1	yes	characteristic
100	#15689015	C₂²	1	1	yes	characteristic
101	#15689015	C₂²	1	1	yes	characteristic
102	#15689015	C₂²	1	1	yes	characteristic
103	#15689014	C₂²	1	1	yes	characteristic
104	#15689014	C₂²	1	1	yes	characteristic
105	#15689014	C₂²	1	1	yes	characteristic
106	#15689014	C₂²	1	1	yes	characteristic
107	#15689014	C₂²	1	1	yes	characteristic
108	#15689014	C₂²	1	1	yes	characteristic
109	#15689013	C₂²	1	1	yes	characteristic
110	#15689013	C₂²	1	1	yes	characteristic
111	#15689013	C₂²	1	1	yes	characteristic
112	#15689013	C₂²	1	1	yes	characteristic
113	#15689013	C₂²	1	1	yes	characteristic
114	#15689012	C₂²	1	1	yes	characteristic
115	#15689012	C₂²	1	1	yes	characteristic
116	#15689012	C₂²	1	1	yes	characteristic
117	#15689012	C₂²	1	1	yes	characteristic
118	#15689012	C₂²	1	1	yes	characteristic
119	#15689012	C₂²	1	1	yes	characteristic
120	#15689012	C₂²	1	1	yes	characteristic
121	#15689012	C₂²	1	1	yes	characteristic
122	#15689010	C₂²	1	1	yes	characteristic
123	#15689010	C₂²	1	1	yes	characteristic
124	#15689010	C₂²	1	1	yes	characteristic
125	#15689009	C₂²	1	1	yes	characteristic
126	#15689009	C₂²	1	1	yes	characteristic
127	#15689008	C₂²	1	1	yes	characteristic
128	#15689008	C₂²	1	1	yes	characteristic
129	#15689008	C₂²	1	1	yes	characteristic
130	#15689007	C₂²	1	1	yes	characteristic
131	#15689007	C₂²	1	1	yes	characteristic
132	#15689007	C₂²	1	1	yes	characteristic
133	#15689007	C₂²	1	1	yes	characteristic
134	#15689006	C₂²	1	1	yes	characteristic
135	#15689006	C₂²	1	1	yes	characteristic
136	#15689005	C₂²	1	1	yes	characteristic
137	#15689005	C₂²	1	1	yes	characteristic
138	#15689005	C₂²	1	1	yes	characteristic
139	#15689004	C₂²	1	1	yes	characteristic
140	#15689004	C₂²	1	1	yes	characteristic
141	#15689004	C₂²	1	1	yes	characteristic
142	#15689001	C₂²	1	1	yes	characteristic
143	#15689001	C₂²	1	1	yes	characteristic
144	#15689001	C₂²	1	1	yes	characteristic
145	#15689001	C₂²	1	1	yes	characteristic
146	#15689001	C₂²	1	1	yes	characteristic
147	#15689001	C₂²	1	1	yes	characteristic
148	#15688997	C₂²	1	1	yes	characteristic
149	#15688997	C₂²	1	1	yes	characteristic
150	#15688997	C₂²	1	1	yes	characteristic
151	#15688997	C₂²	1	1	yes	characteristic
152	#15688994	C₂²	1	1	yes	characteristic
153	#15688994	C₂²	1	1	yes	characteristic
154	#15688994	C₂²	1	1	yes	characteristic
155	#15688994	C₂²	1	1	yes	characteristic
156	#15688990	C₂²	1	1	yes	characteristic
157	#15688987	C₂²	1	1	yes	characteristic
158	#15688987	C₂²	1	1	yes	characteristic
159	#15688987	C₂²	1	1	yes	characteristic
160	#15688985	C₂²	1	1	yes	characteristic
161	#15688985	C₂²	1	1	yes	characteristic
162	#15688982	C₂²	1	1	yes	characteristic
163	#15688982	C₂²	1	1	yes	characteristic
164	#15688982	C₂²	1	1	yes	characteristic
165	#15688980	C₂²	1	1	yes	characteristic
166	#15688980	C₂²	1	1	yes	characteristic
167	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
168	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
170	#95×D₄₇	C₂²	1	1	yes	characteristic
171	C₄²×Dic₄₇	C₂²	1	1	yes	characteristic
172	C₄₇×#400	C₂²	1	1	yes	characteristic
173	C₄₇×#400	C₂²	1	1	yes	characteristic
174	C₄₇×#398	C₂²	1	1	yes	characteristic
175	C₄₇×#395	C₂²	1	1	yes	characteristic
176	C₄₇×#391	C₂²	1	1	yes	characteristic
177	C₄₇×#391	C₂²	1	1	yes	characteristic
178	C₄₇×#389	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×#387	C₂²	1	1	yes	characteristic
183	C₄₇×#387	C₂²	1	1	yes	characteristic
184	C₄₇×#387	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
186	C₄×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
187	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
188	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
189	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
190	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
196	#13094019	—	4	2	no	—
197	#13094018	—	4	2	no	—
198	#13094002	—	2	4	no	—
199	#13094002	—	4	2	no	—
200	#13094000	—	4	2	no	—
201	C₄×D₁₈₈	—	2	4	no	—
202	#13093986	—	2	4	no	—
203	#13093981	—	4	2	no	—
204	#13093981	—	4	2	no	—
205	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
211	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₄₇)⋊C₄	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×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₄₇	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	C₄₇⋊#95	C₂³	1	1	yes	characteristic
277	C₄₇⋊#95	C₂³	1	1	yes	characteristic
278	C₄₇⋊#95	C₂³	1	1	yes	characteristic
279	C₄₇⋊#95	C₂³	1	1	yes	characteristic
280	C₄₇⋊#95	C₂³	1	1	yes	characteristic
281	C₄₇⋊#95	C₂³	1	1	yes	characteristic
282	C₄₇⋊#95	C₂³	1	1	yes	characteristic
283	C₄₇⋊#95	C₂³	1	1	yes	characteristic
284	C₄₇⋊#95	C₂³	1	1	yes	characteristic
285	C₄₇⋊#95	C₂³	1	1	yes	characteristic
286	C₄₇⋊#95	C₂³	1	1	yes	characteristic
287	C₄₇⋊#95	C₂³	1	1	yes	characteristic
288	C₄₇⋊#95	C₂³	1	1	yes	characteristic
289	C₄₇⋊#95	C₂³	1	1	yes	characteristic
290	C₄₇⋊#95	C₂³	1	1	yes	characteristic
291	C₄₇⋊#95	C₂³	1	1	yes	characteristic
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	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
320	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
328	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
329	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
330	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
333	#95×C₄₇	C₂³	1	1	yes	characteristic
334	#95×C₄₇	C₂³	1	1	yes	characteristic
335	#95×C₄₇	C₂³	1	1	yes	characteristic
336	#95×C₄₇	C₂³	1	1	yes	characteristic
337	#95×C₄₇	C₂³	1	1	yes	characteristic
338	#95×C₄₇	C₂³	1	1	yes	characteristic
339	#95×C₄₇	C₂³	1	1	yes	characteristic
340	#95×C₄₇	C₂³	1	1	yes	characteristic
341	#95×C₄₇	C₂³	1	1	yes	characteristic
342	#95×C₄₇	C₂³	1	1	yes	characteristic
343	#95×C₄₇	C₂³	1	1	yes	characteristic
344	#95×C₄₇	C₂³	1	1	yes	characteristic
345	#95×C₄₇	C₂³	1	1	yes	characteristic
346	#95×C₄₇	C₂³	1	1	yes	characteristic
347	#95×C₄₇	C₂³	1	1	yes	characteristic
348	#95×C₄₇	C₂³	1	1	yes	characteristic
349	#95×C₄₇	C₂³	1	1	yes	characteristic
350	#95×C₄₇	C₂³	1	1	yes	characteristic
351	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
352	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
353	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
354	C₂×Q₈×C₄₇	—	4	1	no	—
355	C₂×Q₈×C₄₇	—	4	1	no	—
356	C₂×Q₈×C₄₇	—	4	1	no	—
357	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
372	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
373	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
374	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
385	C₂×D₁₈₈	—	2	2	no	—
386	C₂×D₁₈₈	—	2	2	no	—
387	C₂×D₁₈₈	—	2	2	no	—
388	C₂×D₁₈₈	—	4	1	no	—
389	C₂×D₁₈₈	—	4	1	no	—
390	C₂×D₁₈₈	—	4	1	no	—
391	C₂×D₁₈₈	—	4	1	no	—
392	C₂×D₁₈₈	—	4	1	no	—
393	C₂×D₁₈₈	—	4	1	no	—
394	C₂×C₄×D₄₇	—	2	2	no	—
395	C₂×C₄×D₄₇	—	2	2	no	—
396	C₂×C₄×D₄₇	—	4	1	no	—
397	C₂×C₄×D₄₇	—	4	1	no	—
398	C₂×C₄×D₄₇	—	4	1	no	—
399	C₂×C₄×D₄₇	—	4	1	no	—
400	C₂×C₄×D₄₇	—	4	1	no	—
401	C₂×C₄×D₄₇	—	4	1	no	—
402	C₂×C₄×D₄₇	—	4	1	no	—
403	C₂×C₄×D₄₇	—	4	1	no	—
404	C₂×C₄×D₄₇	—	4	1	no	—
405	C₂×C₄×D₄₇	—	4	1	no	—
406	C₂×C₄×D₄₇	—	4	1	no	—
407	C₂×C₄×D₄₇	—	4	1	no	—
408	C₂×C₄×D₄₇	#41	1	4	yes	—
409	C₂×Dic₉₄	—	2	2	no	—
410	C₂×Dic₉₄	—	4	1	no	—
411	C₂×Dic₉₄	—	4	1	no	—
412	C₄⋊C₄×C₄₇	—	2	2	no	—
413	C₄⋊C₄×C₄₇	—	2	2	no	—
414	C₄⋊C₄×C₄₇	—	2	2	no	—
415	C₄⋊C₄×C₄₇	—	4	1	no	—
416	C₄⋊C₄×C₄₇	—	4	1	no	—
417	C₄⋊C₄×C₄₇	—	4	1	no	—
418	C₄⋊C₄×C₄₇	—	4	1	no	—
419	C₄⋊C₄×C₄₇	—	4	1	no	—
420	C₄⋊C₄×C₄₇	—	4	1	no	—
421	C₄⋊C₄×C₄₇	—	4	1	no	—
422	C₄⋊C₄×C₄₇	—	4	1	no	—
423	C₄²×C₄₇	—	2	2	no	—
424	C₄²×C₄₇	—	4	1	no	—
425	C₄²×C₄₇	—	4	1	no	—
426	C₄²×C₄₇	—	4	1	no	—
427	C₄²×C₄₇	—	4	1	no	—
428	(C₂×D₄₇)⋊C₄	—	2	2	no	—
429	(C₂×D₄₇)⋊C₄	—	2	2	no	—
430	(C₂×D₄₇)⋊C₄	—	2	2	no	—
431	(C₂×D₄₇)⋊C₄	—	2	2	no	—
432	(C₂×D₄₇)⋊C₄	—	2	2	no	—
433	(C₂×D₄₇)⋊C₄	—	2	2	no	—
434	(C₂×D₄₇)⋊C₄	—	2	2	no	—
435	(C₂×D₄₇)⋊C₄	—	2	2	no	—
436	(C₂×D₄₇)⋊C₄	—	2	2	no	—
437	(C₂×D₄₇)⋊C₄	—	2	2	no	—
438	(C₂×D₄₇)⋊C₄	—	4	1	no	—
439	(C₂×D₄₇)⋊C₄	—	4	1	no	—
440	(C₂×D₄₇)⋊C₄	—	4	1	no	—
441	(C₂×D₄₇)⋊C₄	—	4	1	no	—
442	(C₂×D₄₇)⋊C₄	—	4	1	no	—
443	(C₂×D₄₇)⋊C₄	—	4	1	no	—
444	(C₂×D₄₇)⋊C₄	—	4	1	no	—
445	(C₂×D₄₇)⋊C₄	—	4	1	no	—
446	(C₂×D₄₇)⋊C₄	—	4	1	no	—
447	(C₂×D₄₇)⋊C₄	—	4	1	no	—
448	(C₂×D₄₇)⋊C₄	—	4	1	no	—
449	(C₂×D₄₇)⋊C₄	—	4	1	no	—
450	(C₂×D₄₇)⋊C₄	—	4	1	no	—
451	(C₂×D₄₇)⋊C₄	—	4	1	no	—
452	(C₂×D₄₇)⋊C₄	—	4	1	no	—
453	(C₂×D₄₇)⋊C₄	—	4	1	no	—
454	(C₂×D₄₇)⋊C₄	—	4	1	no	—
455	(C₂×D₄₇)⋊C₄	—	4	1	no	—
456	(C₂×D₄₇)⋊C₄	—	4	1	no	—
457	(C₂×D₄₇)⋊C₄	—	4	1	no	—
458	(C₂×D₄₇)⋊C₄	—	4	1	no	—
459	(C₂×D₄₇)⋊C₄	—	4	1	no	—
460	(C₂×D₄₇)⋊C₄	—	4	1	no	—
461	(C₂×D₄₇)⋊C₄	—	4	1	no	—
462	C₄⋊Dic₄₇	—	2	2	no	—
463	C₄⋊Dic₄₇	—	2	2	no	—
464	C₄⋊Dic₄₇	—	4	1	no	—
465	C₄⋊Dic₄₇	—	4	1	no	—
466	C₄⋊Dic₄₇	—	4	1	no	—
467	C₄⋊Dic₄₇	—	4	1	no	—
468	Dic₄₇⋊C₄	—	2	2	no	—
469	Dic₄₇⋊C₄	—	2	2	no	—
470	Dic₄₇⋊C₄	—	2	2	no	—
471	Dic₄₇⋊C₄	—	2	2	no	—
472	Dic₄₇⋊C₄	—	2	2	no	—
473	Dic₄₇⋊C₄	—	2	2	no	—
474	Dic₄₇⋊C₄	—	2	2	no	—
475	Dic₄₇⋊C₄	—	4	1	no	—
476	Dic₄₇⋊C₄	—	4	1	no	—
477	Dic₄₇⋊C₄	—	4	1	no	—
478	Dic₄₇⋊C₄	—	4	1	no	—
479	Dic₄₇⋊C₄	—	4	1	no	—
480	Dic₄₇⋊C₄	—	4	1	no	—
481	Dic₄₇⋊C₄	—	4	1	no	—
482	Dic₄₇⋊C₄	—	4	1	no	—
483	Dic₄₇⋊C₄	—	4	1	no	—
484	Dic₄₇⋊C₄	—	4	1	no	—
485	Dic₄₇⋊C₄	—	4	1	no	—
486	Dic₄₇⋊C₄	—	4	1	no	—
487	Dic₄₇⋊C₄	—	4	1	no	—
488	Dic₄₇⋊C₄	—	4	1	no	—
489	Dic₄₇⋊C₄	—	4	1	no	—
490	C₄×Dic₄₇	—	2	2	no	—
491	C₄×Dic₄₇	—	2	2	no	—
492	C₄×Dic₄₇	—	2	2	no	—
493	C₄×Dic₄₇	—	4	1	no	—
494	C₄×Dic₄₇	—	4	1	no	—
495	C₄×Dic₄₇	—	4	1	no	—
496	C₄×Dic₄₇	—	4	1	no	—
497	C₄×Dic₄₇	—	4	1	no	—
498	C₄×Dic₄₇	—	4	1	no	—
499	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
500	C₂²×D₄₇	—	2	1	no	—
501	C₂²×D₄₇	—	2	1	no	—
502	C₂²×D₄₇	—	2	1	no	—
503	C₂²×D₄₇	—	2	1	no	—
504	C₂²×D₄₇	—	2	1	no	—
505	C₂²×D₄₇	—	2	1	no	—
506	C₂²×D₄₇	—	2	1	no	—
507	C₂²×D₄₇	—	2	1	no	—
508	C₂²×D₄₇	—	2	1	no	—
509	C₂²×D₄₇	—	2	1	no	—
510	C₂²×D₄₇	—	2	1	no	—
511	C₂²×D₄₇	—	2	1	no	—
512	C₂²×D₄₇	—	2	1	no	—
513	C₂²×D₄₇	—	2	1	no	—
514	C₂²×D₄₇	—	2	1	no	—
515	C₂²×D₄₇	—	2	1	no	—
516	C₂²×D₄₇	—	2	1	no	—
517	C₂²×D₄₇	—	2	1	no	—
518	C₂²×D₄₇	—	2	1	no	—
519	C₂²×D₄₇	—	2	1	no	—
520	C₂²×D₄₇	C₂×#41	1	2	yes	—
521	Q₈×C₄₇	—	8	2	no	—
522	C₂×C₄×C₄₇	—	2	1	no	—
523	C₂×C₄×C₄₇	—	2	1	no	—
524	C₂×C₄×C₄₇	—	2	1	no	—
525	C₂×C₄×C₄₇	—	2	1	no	—
526	C₂×C₄×C₄₇	—	2	1	no	—
527	C₂×C₄×C₄₇	—	2	1	no	—
528	C₂×C₄×C₄₇	—	2	1	no	—
529	C₂×C₄×C₄₇	—	2	1	no	—
530	C₂×C₄×C₄₇	—	2	1	no	—
531	C₂×C₄×C₄₇	—	2	1	no	—
532	C₂×C₄×C₄₇	—	2	1	no	—
533	C₂×C₄×C₄₇	—	2	1	no	—
534	C₂×C₄×C₄₇	—	2	1	no	—
535	C₂×C₄×C₄₇	—	2	1	no	—
536	C₂×C₄×C₄₇	—	2	1	no	—
537	C₂×C₄×C₄₇	—	2	1	no	—
538	C₂×C₄×C₄₇	—	2	1	no	—
539	C₂×C₄×C₄₇	—	2	1	no	—
540	C₂×C₄×C₄₇	—	2	1	no	—
541	C₂×C₄×C₄₇	—	2	1	no	—
542	C₂×C₄×C₄₇	—	2	1	no	—
543	C₂×C₄×C₄₇	—	2	1	no	—
544	C₂×C₄×C₄₇	—	2	1	no	—
545	C₂×C₄×C₄₇	—	2	1	no	—
546	C₂×C₄×C₄₇	—	2	1	no	—
547	C₂×C₄×C₄₇	—	2	1	no	—
548	C₂×C₄×C₄₇	—	2	1	no	—
549	C₂×C₄×C₄₇	—	2	1	no	—
550	C₂×C₄×C₄₇	—	2	1	no	—
551	C₂×C₄×C₄₇	—	2	1	no	—
552	C₂×C₄×C₄₇	—	2	1	no	—
553	C₂×C₄×C₄₇	—	2	1	no	—
554	C₂×C₄×C₄₇	—	2	1	no	—
555	C₂×C₄×C₄₇	—	2	1	no	—
556	C₂×C₄×C₄₇	—	2	1	no	—
557	C₂×C₄×C₄₇	—	2	1	no	—
558	C₂×C₄×C₄₇	—	2	1	no	—
559	C₂×C₄×C₄₇	—	2	1	no	—
560	C₂×C₄×C₄₇	—	2	1	no	—
561	C₂×C₄×C₄₇	—	2	1	no	—
562	C₂×C₄×C₄₇	—	2	1	no	—
563	C₂×C₄×C₄₇	—	2	1	no	—
564	C₂×C₄×C₄₇	—	2	1	no	—
565	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
566	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
567	C₂×Dic₄₇	—	2	1	no	—
568	C₂×Dic₄₇	—	2	1	no	—
569	C₂×Dic₄₇	—	2	1	no	—
570	C₂×Dic₄₇	—	2	1	no	—
571	C₂×Dic₄₇	—	2	1	no	—
572	C₂×Dic₄₇	—	2	1	no	—
573	C₂×Dic₄₇	—	2	1	no	—
574	C₂×Dic₄₇	—	2	1	no	—
575	C₂×Dic₄₇	—	2	1	no	—
576	C₂×Dic₄₇	—	2	1	no	—
577	C₂×Dic₄₇	—	2	1	no	—
578	C₂×Dic₄₇	—	2	1	no	—
579	C₂×Dic₄₇	—	2	1	no	—
580	C₂×Dic₄₇	—	2	1	no	—
581	C₂×Dic₄₇	—	2	1	no	—
582	C₂×Dic₄₇	—	2	1	no	—
583	C₂×Dic₄₇	—	2	1	no	—
584	C₂×Dic₄₇	—	2	1	no	—
585	C₂×Dic₄₇	—	2	1	no	—
586	C₂×Dic₄₇	—	2	1	no	—
587	C₂×Dic₄₇	—	2	1	no	—
588	C₂×Dic₄₇	—	2	1	no	—
589	C₂×Dic₄₇	—	2	1	no	—
590	C₂×Dic₄₇	—	2	1	no	—
591	C₂×Dic₄₇	—	2	1	no	—
592	C₂×Dic₄₇	—	2	1	no	—
593	C₂×Dic₄₇	—	2	1	no	—
594	C₂×Dic₄₇	—	2	1	no	—
595	C₂×Dic₄₇	—	2	1	no	—
596	C₂×Dic₄₇	—	2	1	no	—
597	C₂×Dic₄₇	—	2	1	no	—
598	C₂×Dic₄₇	—	2	1	no	—
599	C₂×Dic₄₇	—	2	1	no	—
600	C₂×Dic₄₇	—	2	1	no	—
601	C₂×Dic₄₇	—	2	1	no	—
602	C₂×Dic₄₇	—	2	1	no	—
603	C₂×Dic₄₇	—	2	1	no	—
604	C₂×Dic₄₇	C₂×#41	1	2	yes	—
605	C₂×Dic₄₇	H(5,𝔽₂)	1	2	yes	—
606	D₁₈₈	—	4	4	no	—
607	D₁₈₈	—	4	4	no	—
608	D₁₈₈	—	8	2	no	—
609	C₄×D₄₇	—	4	4	no	—
610	C₄×D₄₇	—	4	4	no	—
611	C₄×D₄₇	—	8	2	no	—
612	C₄×D₄₇	—	8	2	no	—
613	C₄×D₄₇	—	8	2	no	—
614	Dic₉₄	—	8	2	no	—
615	#36996	—	47	1	no	maximal, Sylow
616	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
617	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
618	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
619	C₂²×C₄₇	#585	1	1	yes	characteristic
620	C₂²×C₄₇	#585	1	1	yes	characteristic
621	C₂²×C₄₇	#585	1	1	yes	characteristic
622	C₂²×C₄₇	#585	1	1	yes	characteristic
623	C₂×D₄₇	—	2	2	no	—
624	C₂×D₄₇	—	2	2	no	—
625	C₂×D₄₇	—	2	2	no	—
626	C₂×D₄₇	—	4	1	no	—
627	C₂×D₄₇	—	4	1	no	—
628	C₂×D₄₇	—	4	1	no	—
629	C₂×D₄₇	—	4	1	no	—
630	C₂×D₄₇	—	4	1	no	—
631	C₂×D₄₇	—	4	1	no	—
632	C₂×D₄₇	—	4	1	no	—
633	C₂×D₄₇	—	4	1	no	—
634	C₂×D₄₇	—	4	1	no	—
635	C₂×D₄₇	—	4	1	no	—
636	C₂×D₄₇	—	4	1	no	—
637	C₂×D₄₇	—	4	1	no	—
638	C₂×D₄₇	—	4	1	no	—
639	C₂×D₄₇	—	4	1	no	—
640	C₂×D₄₇	—	4	1	no	—
641	C₂×D₄₇	—	4	1	no	—
642	C₂×D₄₇	—	4	1	no	—
643	C₂×D₄₇	—	4	1	no	—
644	C₄×C₄₇	—	2	2	no	—
645	C₄×C₄₇	—	2	2	no	—
646	C₄×C₄₇	—	4	1	no	—
647	C₄×C₄₇	—	4	1	no	—
648	C₄×C₄₇	—	4	1	no	—
649	C₄×C₄₇	—	4	1	no	—
650	C₄×C₄₇	—	4	1	no	—
651	C₄×C₄₇	—	4	1	no	—
652	C₄×C₄₇	—	4	1	no	—
653	C₄×C₄₇	—	4	1	no	—
654	C₄×C₄₇	—	4	1	no	—
655	C₄×C₄₇	—	4	1	no	—
656	C₄×C₄₇	—	4	1	no	—
657	C₄×C₄₇	—	4	1	no	—
658	C₄×C₄₇	—	4	1	no	—
659	Dic₄₇	—	2	2	no	—
660	Dic₄₇	—	2	2	no	—
661	Dic₄₇	—	4	1	no	—
662	Dic₄₇	—	4	1	no	—
663	Dic₄₇	—	4	1	no	—
664	Dic₄₇	—	4	1	no	—
665	Dic₄₇	—	4	1	no	—
666	Dic₄₇	—	4	1	no	—
667	Dic₄₇	—	4	1	no	—
668	Dic₄₇	—	4	1	no	—
669	Dic₄₇	—	4	1	no	—
670	Dic₄₇	—	4	1	no	—
671	Dic₄₇	—	4	1	no	—
672	#2865	—	47	1	no	—
673	#2864	—	47	1	no	—
674	#2797	—	47	1	no	—
675	#2787	—	47	1	no	—
676	#2787	—	47	1	no	—
677	#2786	—	47	1	no	—
678	#2773	—	47	1	no	—
679	#2766	—	47	1	no	—
680	#2759	—	47	1	no	—
681	#2755	—	47	1	no	—
682	#2753	—	47	1	no	—
683	#2742	—	47	1	no	—
684	#2741	—	47	1	no	—
685	#2740	—	47	1	no	—
686	#2723	—	47	1	no	—
687	#2702	—	47	1	no	—
688	#2702	—	47	1	no	—
689	#2698	—	47	1	no	—
690	#2653	—	47	1	no	—
691	#2652	—	47	1	no	—
692	#2600	—	47	1	no	—
693	#2594	—	47	1	no	—
694	#2588	D₄₇	1	1	yes	characteristic, complemented
695	#2564	—	47	1	no	—
696	#2479	—	47	1	no	—
697	#2478	—	47	1	no	—
698	#2438	—	47	1	no	—
699	#2415	—	47	1	no	—
700	#2332	—	47	1	no	—
701	#2318	—	47	1	no	—
702	#2293	—	47	1	no	—
703	C₂×C₄₇	#3455	1	1	yes	characteristic
704	C₂×C₄₇	#3495	1	1	yes	characteristic
705	C₂×C₄₇	#3505	1	1	yes	characteristic
706	C₂×C₄₇	#3557	1	1	yes	characteristic
707	C₂×C₄₇	#3559	1	1	yes	characteristic
708	C₂×C₄₇	#3562	1	1	yes	characteristic
709	C₂×C₄₇	#3568	1	1	yes	characteristic
710	D₄₇	—	4	2	no	—
711	D₄₇	—	8	1	no	—
712	D₄₇	—	8	1	no	—
713	C₂×#126	—	47	1	no	—
714	C₂×#126	—	47	1	no	—
715	C₂×C₂²⋊Q₈	—	47	1	no	—
716	C₂×C₂²⋊Q₈	—	47	1	no	—
717	C₂×C₂²⋊Q₈	—	47	1	no	—
718	C₂×C₄×D₄	—	47	1	no	—
719	C₂×C₄×D₄	—	47	1	no	—
720	C₂×#117	—	47	1	no	—
721	C₂×#117	—	47	1	no	—
722	#401	—	47	1	no	—
723	#401	—	47	1	no	—
724	#400	—	47	1	no	—
725	#400	—	47	1	no	—
726	#400	—	47	1	no	—
727	#400	—	47	1	no	—
728	#400	—	47	1	no	—
729	#400	C₂×D₄₇	1	1	yes	characteristic
730	#400	C₂×D₄₇	1	1	yes	characteristic
731	#399	—	47	1	no	—
732	#399	—	47	1	no	—
733	#399	—	47	1	no	—
734	#398	—	47	1	no	—
735	#398	—	47	1	no	—
736	#398	—	47	1	no	—
737	#398	—	47	1	no	—
738	#398	—	47	1	no	—
739	#398	—	47	1	no	—
740	#398	—	47	1	no	—
741	#398	—	47	1	no	—
742	#398	C₂×D₄₇	1	1	yes	characteristic
743	#397	—	47	1	no	—
744	#397	—	47	1	no	—
745	#397	—	47	1	no	—
746	#397	—	47	1	no	—
747	#397	—	47	1	no	—
748	#397	—	47	1	no	—
749	#397	—	47	1	no	—
750	#397	—	47	1	no	—
751	#397	—	47	1	no	—
752	#397	—	47	1	no	—
753	#397	—	47	1	no	—
754	#396	—	47	1	no	—
755	#396	—	47	1	no	—
756	#395	—	47	1	no	—
757	#395	—	47	1	no	—
758	#395	C₂×D₄₇	1	1	yes	characteristic
759	#394	—	47	1	no	—
760	#394	—	47	1	no	—
761	#394	—	47	1	no	—
762	#394	—	47	1	no	—
763	#394	—	47	1	no	—
764	#394	—	47	1	no	—
765	#394	—	47	1	no	—
766	#393	—	47	1	no	—
767	#393	—	47	1	no	—
768	#393	—	47	1	no	—
769	#392	—	47	1	no	—
770	#391	—	47	1	no	—
771	#391	—	47	1	no	—
772	#391	—	47	1	no	—
773	#391	C₂×D₄₇	1	1	yes	characteristic
774	#391	C₂×D₄₇	1	1	yes	characteristic
775	#390	—	47	1	no	—
776	#390	—	47	1	no	—
777	#390	—	47	1	no	—
778	#389	—	47	1	no	—
779	#389	—	47	1	no	—
780	#389	—	47	1	no	—
781	#389	—	47	1	no	—
782	#389	—	47	1	no	—
783	#389	—	47	1	no	—
784	#389	—	47	1	no	—
785	#389	—	47	1	no	—
786	#389	—	47	1	no	—
787	#389	C₂×D₄₇	1	1	yes	characteristic
788	#388	—	47	1	no	—
789	#388	—	47	1	no	—
790	#388	—	47	1	no	—
791	#388	—	47	1	no	—
792	#388	—	47	1	no	—
793	#388	—	47	1	no	—
794	#388	—	47	1	no	—
795	#388	—	47	1	no	—
796	#388	—	47	1	no	—
797	#388	—	47	1	no	—
798	#388	—	47	1	no	—
799	#388	—	47	1	no	—
800	#388	—	47	1	no	—
801	#388	—	47	1	no	—
802	#388	—	47	1	no	—
803	#388	—	47	1	no	—
804	#388	—	47	1	no	—
805	#388	—	47	1	no	—
806	#388	—	47	1	no	—
807	#388	—	47	1	no	—
808	#388	—	47	1	no	—
809	#388	—	47	1	no	—
810	#387	—	47	1	no	—
811	#387	—	47	1	no	—
812	#387	—	47	1	no	—
813	#387	—	47	1	no	—
814	#387	—	47	1	no	—
815	#387	—	47	1	no	—
816	#387	—	47	1	no	—
817	#387	—	47	1	no	—
818	#387	—	47	1	no	—
819	#387	—	47	1	no	—
820	#387	—	47	1	no	—
821	#387	—	47	1	no	—
822	#387	—	47	1	no	—
823	#387	—	47	1	no	—
824	#387	—	47	1	no	—
825	#387	—	47	1	no	—
826	#387	—	47	1	no	—
827	#387	—	47	1	no	—
828	#387	—	47	1	no	—
829	#387	—	47	1	no	—
830	#387	C₂×D₄₇	1	1	yes	characteristic
831	#387	C₂×D₄₇	1	1	yes	characteristic
832	#387	C₂×D₄₇	1	1	yes	characteristic
833	#387	C₂×D₄₇	1	1	yes	characteristic
834	#387	C₂×D₄₇	1	1	yes	characteristic
835	#387	C₂×D₄₇	1	1	yes	characteristic
836	#386	—	47	1	no	—
837	#386	—	47	1	no	—
838	#386	—	47	1	no	—
839	#386	—	47	1	no	—
840	#386	—	47	1	no	—
841	#386	—	47	1	no	—
842	#385	—	47	1	no	—
843	#385	—	47	1	no	—
844	#385	—	47	1	no	—
845	#385	—	47	1	no	—
846	#385	—	47	1	no	—
847	#385	—	47	1	no	—
848	#385	—	47	1	no	—
849	#385	—	47	1	no	—
850	#383	—	47	1	no	—
851	#382	—	47	1	no	—
852	#382	—	47	1	no	—
853	#382	—	47	1	no	—
854	#381	—	47	1	no	—
855	#381	—	47	1	no	—
856	#380	—	47	1	no	—
857	#380	—	47	1	no	—
858	#380	—	47	1	no	—
859	#380	—	47	1	no	—
860	#380	—	47	1	no	—
861	C₄×C₄⋊C₄	—	47	1	no	—
862	C₄×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
863	C₄×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
864	C₄×C₂²⋊C₄	—	47	1	no	—
865	C₄×C₂²⋊C₄	—	47	1	no	—
866	C₂×#95	—	47	1	no	—
867	C₄³	—	47	1	no	—
868	C₄₇	#36996	1	1	yes	characteristic, complemented, Sylow
869	C₂²×Q₈	—	47	1	no	—
870	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
871	C₂²×D₄	—	47	1	no	—
872	C₂²×D₄	—	47	1	no	—
873	C₂²×D₄	—	47	1	no	—
874	C₂³×C₄	—	47	1	no	—
875	C₂³×C₄	—	47	1	no	—
876	C₂³×C₄	—	47	1	no	—
877	C₂³×C₄	—	47	1	no	—
878	C₂³×C₄	—	47	1	no	—
879	#126	—	188	2	no	—
880	#126	—	188	2	no	—
881	C₂²⋊Q₈	—	94	4	no	—
882	C₂²⋊Q₈	—	188	2	no	—
883	C₂²⋊Q₈	—	188	2	no	—
884	C₄×D₄	—	94	4	no	—
885	C₄×D₄	—	94	4	no	—
886	#117	—	188	2	no	—
887	#117	—	188	2	no	—
888	C₂×C₄⋊C₄	—	47	1	no	—
889	C₂×C₄⋊C₄	—	47	1	no	—
890	C₂×C₄⋊C₄	—	47	1	no	—
891	C₂×C₄⋊C₄	—	47	1	no	—
892	C₂×C₄⋊C₄	—	47	1	no	—
893	C₂×C₄⋊C₄	—	47	1	no	—
894	C₂×C₄⋊C₄	—	47	1	no	—
895	C₂×C₄⋊C₄	—	47	1	no	—
896	C₂×C₄⋊C₄	—	47	1	no	—
897	C₂×C₄⋊C₄	—	47	1	no	—
898	C₂×C₄⋊C₄	—	47	1	no	—
899	C₂×C₄⋊C₄	—	47	1	no	—
900	C₂×C₄⋊C₄	—	47	1	no	—
901	C₂×C₄⋊C₄	—	47	1	no	—
902	C₂×C₄⋊C₄	—	47	1	no	—
903	C₂×C₄⋊C₄	—	47	1	no	—
904	C₂×C₄⋊C₄	—	47	1	no	—
905	C₂×C₄⋊C₄	—	47	1	no	—
906	C₂×C₄⋊C₄	—	47	1	no	—
907	C₂×C₄⋊C₄	—	47	1	no	—
908	C₂×C₄⋊C₄	—	47	1	no	—
909	C₂×C₄⋊C₄	—	47	1	no	—
910	C₂×C₄⋊C₄	—	47	1	no	—
911	C₂×C₄⋊C₄	—	47	1	no	—
912	C₂×C₄⋊C₄	—	47	1	no	—
913	C₂×C₄⋊C₄	—	47	1	no	—
914	C₂×C₄⋊C₄	—	47	1	no	—
915	C₂×C₄⋊C₄	—	47	1	no	—
916	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
925	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
926	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
927	C₂×C₂²⋊C₄	—	47	1	no	—
928	C₂×C₂²⋊C₄	—	47	1	no	—
929	C₂×C₂²⋊C₄	—	47	1	no	—
930	C₂×C₂²⋊C₄	—	47	1	no	—
931	C₂×C₂²⋊C₄	—	47	1	no	—
932	C₂×C₂²⋊C₄	—	47	1	no	—
933	C₂×C₂²⋊C₄	—	47	1	no	—
934	C₂×C₂²⋊C₄	—	47	1	no	—
935	C₂×C₂²⋊C₄	—	47	1	no	—
936	C₂×C₂²⋊C₄	—	47	1	no	—
937	C₂×C₂²⋊C₄	—	47	1	no	—
938	C₂×C₂²⋊C₄	—	47	1	no	—
939	C₂×C₂²⋊C₄	—	47	1	no	—
940	C₂×C₂²⋊C₄	—	47	1	no	—
941	C₂×C₂²⋊C₄	—	47	1	no	—
942	C₂×C₂²⋊C₄	—	47	1	no	—
943	C₂×C₂²⋊C₄	—	47	1	no	—
944	C₂×C₂²⋊C₄	—	47	1	no	—
945	C₂×C₂²⋊C₄	—	47	1	no	—
946	C₂×C₂²⋊C₄	—	47	1	no	—
947	C₂×C₂²⋊C₄	—	47	1	no	—
948	C₂×C₂²⋊C₄	—	47	1	no	—
949	C₂×C₂²⋊C₄	—	47	1	no	—
950	C₂×C₂²⋊C₄	—	47	1	no	—
951	C₂×C₂²⋊C₄	—	47	1	no	—
952	C₂×C₂²⋊C₄	—	47	1	no	—
953	C₂×C₂²⋊C₄	—	47	1	no	—
954	C₂×C₂²⋊C₄	—	47	1	no	—
955	C₂×C₂²⋊C₄	—	47	1	no	—
956	C₂×C₂²⋊C₄	—	47	1	no	—
957	C₂×C₂²⋊C₄	—	47	1	no	—
958	C₂×C₂²⋊C₄	—	47	1	no	—
959	C₂×C₂²⋊C₄	—	47	1	no	—
960	C₂×C₂²⋊C₄	—	47	1	no	—
961	C₂×C₄²	—	47	1	no	—
962	C₂×C₄²	—	47	1	no	—
963	C₂×C₄²	—	47	1	no	—
964	C₂×C₄²	—	47	1	no	—
965	C₂×C₄²	—	47	1	no	—
966	C₂×C₄²	—	47	1	no	—
967	C₂×C₄²	—	47	1	no	—
968	C₂×C₄²	—	47	1	no	—
969	C₂×C₄²	—	47	1	no	—
970	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
971	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
972	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
973	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
974	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
975	#95	—	47	1	no	—
976	#95	—	47	1	no	—
977	#95	—	47	1	no	—
978	#95	—	47	1	no	—
979	#95	—	47	1	no	—
980	#95	—	47	1	no	—
981	#95	—	47	1	no	—
982	#95	—	47	1	no	—
983	#95	—	47	1	no	—
984	#95	—	47	1	no	—
985	#95	—	47	1	no	—
986	#95	—	47	1	no	—
987	#95	—	47	1	no	—
988	#95	—	47	1	no	—
989	#95	—	47	1	no	—
990	#95	—	47	1	no	—
991	#95	—	47	1	no	—
992	#95	—	47	1	no	—
993	#95	—	47	1	no	—
994	#95	—	47	1	no	—
995	#95	—	47	1	no	—
996	#95	—	47	1	no	—
997	#95	—	47	1	no	—
998	#95	—	47	1	no	—
999	#95	—	47	1	no	—
1000	#95	—	47	1	no	—
1001	#95	—	47	1	no	—
1002	#95	—	47	1	no	—
1003	#95	—	47	1	no	—
1004	#95	—	47	1	no	—
1005	#95	—	47	1	no	—
1006	#95	—	47	1	no	—
1007	#95	—	47	1	no	—
1008	#95	—	47	1	no	—
1009	#95	—	47	1	no	—
1010	#95	—	47	1	no	—
1011	#95	—	47	1	no	—
1012	#95	—	47	1	no	—
1013	#95	—	47	1	no	—
1014	#95	—	47	1	no	—
1015	#95	C₂²×D₄₇	1	1	yes	characteristic
1016	#95	C₂²×D₄₇	1	1	yes	characteristic
1017	#95	C₂²×D₄₇	1	1	yes	characteristic
1018	#95	C₂²×D₄₇	1	1	yes	characteristic
1019	#95	C₂²×D₄₇	1	1	yes	characteristic
1020	#95	C₂²×D₄₇	1	1	yes	characteristic
1021	#95	C₂²×D₄₇	1	1	yes	characteristic
1022	#95	C₂²×D₄₇	1	1	yes	characteristic
1023	#95	C₂²×D₄₇	1	1	yes	characteristic
1024	#95	C₂²×D₄₇	1	1	yes	characteristic
1025	#95	C₂²×D₄₇	1	1	yes	characteristic
1026	#95	C₂²×D₄₇	1	1	yes	characteristic
1027	#95	C₂²×D₄₇	1	1	yes	characteristic
1028	#95	C₂²×D₄₇	1	1	yes	characteristic
1029	#95	C₂²×D₄₇	1	1	yes	characteristic
1030	#95	C₂²×D₄₇	1	1	yes	characteristic
1031	#95	C₂²×D₄₇	1	1	yes	characteristic
1032	#95	C₂²×D₄₇	1	1	yes	characteristic
1033	C₂⁴	—	47	1	no	—
1034	C₂⁴	—	47	1	no	—
1035	C₂⁴	—	47	1	no	—
1036	C₂×Q₈	—	4	1	no	—
1037	C₂×Q₈	—	4	1	no	—
1038	C₂×Q₈	—	4	1	no	—
1039	C₂×Q₈	—	94	2	no	—
1040	C₂×Q₈	—	188	1	no	—
1041	C₂×Q₈	—	188	1	no	—
1042	C₂×D₄	—	94	2	no	—
1043	C₂×D₄	—	94	2	no	—
1044	C₂×D₄	—	94	2	no	—
1045	C₂×D₄	—	188	1	no	—
1046	C₂×D₄	—	188	1	no	—
1047	C₂×D₄	—	188	1	no	—
1048	C₂×D₄	—	188	1	no	—
1049	C₂×D₄	—	188	1	no	—
1050	C₂×D₄	—	188	1	no	—
1051	C₂²×C₄	—	47	1	no	—
1052	C₂²×C₄	—	47	1	no	—
1053	C₂²×C₄	—	47	4	no	—
1054	C₂²×C₄	—	47	1	no	—
1055	C₂²×C₄	—	47	1	no	—
1056	C₂²×C₄	—	47	1	no	—
1057	C₂²×C₄	—	47	1	no	—
1058	C₂²×C₄	—	47	1	no	—
1059	C₂²×C₄	—	47	1	no	—
1060	C₂²×C₄	—	47	1	no	—
1061	C₂²×C₄	—	47	1	no	—
1062	C₂²×C₄	—	47	1	no	—
1063	C₂²×C₄	—	47	1	no	—
1064	C₂²×C₄	—	47	1	no	—
1065	C₂²×C₄	—	94	2	no	—
1066	C₂²×C₄	—	94	2	no	—
1067	C₂²×C₄	—	188	1	no	—
1068	C₂²×C₄	—	188	1	no	—
1069	C₂²×C₄	—	188	1	no	—
1070	C₂²×C₄	—	188	1	no	—
1071	C₂²×C₄	—	188	1	no	—
1072	C₂²×C₄	—	188	1	no	—
1073	C₂²×C₄	—	188	1	no	—
1074	C₂²×C₄	—	188	1	no	—
1075	C₂²×C₄	—	188	1	no	—
1076	C₂²×C₄	—	188	1	no	—
1077	C₂²×C₄	—	188	1	no	—
1078	C₂²×C₄	—	188	1	no	—
1079	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1087	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1088	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1089	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1091	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1092	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1093	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1094	C₄⋊C₄	—	2	2	no	—
1095	C₄⋊C₄	—	2	2	no	—
1096	C₄⋊C₄	—	2	2	no	—
1097	C₄⋊C₄	—	4	1	no	—
1098	C₄⋊C₄	—	4	1	no	—
1099	C₄⋊C₄	—	4	1	no	—
1100	C₄⋊C₄	—	4	1	no	—
1101	C₄⋊C₄	—	4	1	no	—
1102	C₄⋊C₄	—	4	1	no	—
1103	C₄⋊C₄	—	4	1	no	—
1104	C₄⋊C₄	—	4	1	no	—
1105	C₄⋊C₄	—	94	2	no	—
1106	C₄⋊C₄	—	94	2	no	—
1107	C₄⋊C₄	—	94	2	no	—
1108	C₄⋊C₄	—	94	2	no	—
1109	C₄⋊C₄	—	94	2	no	—
1110	C₄⋊C₄	—	94	2	no	—
1111	C₄⋊C₄	—	94	2	no	—
1112	C₄⋊C₄	—	94	2	no	—
1113	C₄⋊C₄	—	94	2	no	—
1114	C₄⋊C₄	—	188	1	no	—
1115	C₄⋊C₄	—	188	1	no	—
1116	C₄⋊C₄	—	188	1	no	—
1117	C₄⋊C₄	—	188	1	no	—
1118	C₄⋊C₄	—	188	1	no	—
1119	C₄⋊C₄	—	188	1	no	—
1120	C₄⋊C₄	—	188	1	no	—
1121	C₄⋊C₄	—	188	1	no	—
1122	C₄⋊C₄	—	188	1	no	—
1123	C₄⋊C₄	—	188	1	no	—
1124	C₄⋊C₄	—	188	1	no	—
1125	C₄⋊C₄	—	188	1	no	—
1126	C₄⋊C₄	—	188	1	no	—
1127	C₄⋊C₄	—	188	1	no	—
1128	C₄⋊C₄	—	188	1	no	—
1129	C₄⋊C₄	—	188	1	no	—
1130	C₄⋊C₄	—	188	1	no	—
1131	C₄⋊C₄	—	188	1	no	—
1132	C₄⋊C₄	—	188	1	no	—
1133	C₂²⋊C₄	—	94	2	no	—
1134	C₂²⋊C₄	—	94	2	no	—
1135	C₂²⋊C₄	—	94	2	no	—
1136	C₂²⋊C₄	—	94	2	no	—
1137	C₂²⋊C₄	—	94	2	no	—
1138	C₂²⋊C₄	—	94	2	no	—
1139	C₂²⋊C₄	—	94	2	no	—
1140	C₂²⋊C₄	—	94	2	no	—
1141	C₂²⋊C₄	—	94	2	no	—
1142	C₂²⋊C₄	—	94	2	no	—
1143	C₂²⋊C₄	—	188	1	no	—
1144	C₂²⋊C₄	—	188	1	no	—
1145	C₂²⋊C₄	—	188	1	no	—
1146	C₂²⋊C₄	—	188	1	no	—
1147	C₂²⋊C₄	—	188	1	no	—
1148	C₂²⋊C₄	—	188	1	no	—
1149	C₂²⋊C₄	—	188	1	no	—
1150	C₂²⋊C₄	—	188	1	no	—
1151	C₂²⋊C₄	—	188	1	no	—
1152	C₂²⋊C₄	—	188	1	no	—
1153	C₂²⋊C₄	—	188	1	no	—
1154	C₂²⋊C₄	—	188	1	no	—
1155	C₂²⋊C₄	—	188	1	no	—
1156	C₂²⋊C₄	—	188	1	no	—
1157	C₂²⋊C₄	—	188	1	no	—
1158	C₂²⋊C₄	—	188	1	no	—
1159	C₂²⋊C₄	—	188	1	no	—
1160	C₂²⋊C₄	—	188	1	no	—
1161	C₂²⋊C₄	—	188	1	no	—
1162	C₂²⋊C₄	—	188	1	no	—
1163	C₂²⋊C₄	—	188	1	no	—
1164	C₂²⋊C₄	—	188	1	no	—
1165	C₂²⋊C₄	—	188	1	no	—
1166	C₂²⋊C₄	—	188	1	no	—
1167	C₄²	—	2	2	no	—
1168	C₄²	—	4	1	no	—
1169	C₄²	—	4	1	no	—
1170	C₄²	—	4	1	no	—
1171	C₄²	—	4	1	no	—
1172	C₄²	—	94	2	no	—
1173	C₄²	—	94	2	no	—
1174	C₄²	—	94	2	no	—
1175	C₄²	—	188	1	no	—
1176	C₄²	—	188	1	no	—
1177	C₄²	—	188	1	no	—
1178	C₄²	—	188	1	no	—
1179	C₄²	—	188	1	no	—
1180	C₄²	—	188	1	no	—
1181	C₂³	—	47	2	no	—
1182	C₂³	—	94	1	no	—
1183	C₂³	—	94	1	no	—
1184	C₂³	—	94	1	no	—
1185	C₂³	—	94	1	no	—
1186	C₂³	—	94	1	no	—
1187	C₂³	—	94	1	no	—
1188	C₂³	—	94	1	no	—
1189	C₂³	—	94	1	no	—
1190	C₂³	—	94	1	no	—
1191	C₂³	—	94	1	no	—
1192	C₂³	—	94	1	no	—
1193	C₂³	—	94	1	no	—
1194	C₂³	—	94	1	no	—
1195	C₂³	—	94	1	no	—
1196	C₂³	—	94	1	no	—
1197	C₂³	—	94	1	no	—
1198	C₂³	—	94	1	no	—
1199	C₂³	—	94	1	no	—
1200	C₂³	—	94	1	no	—
1201	C₂³	—	94	1	no	—
1202	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1203	Q₈	—	8	2	no	—
1204	Q₈	—	376	2	no	—
1205	D₄	—	376	2	no	—
1206	D₄	—	188	4	no	—
1207	D₄	—	188	4	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	47	2	no	—
1252	C₂×C₄	—	47	2	no	—
1253	C₂×C₄	—	94	1	no	—
1254	C₂×C₄	—	94	1	no	—
1255	C₂×C₄	—	94	1	no	—
1256	C₂×C₄	—	94	1	no	—
1257	C₂×C₄	—	94	1	no	—
1258	C₂×C₄	—	94	1	no	—
1259	C₂×C₄	—	94	1	no	—
1260	C₂×C₄	—	94	1	no	—
1261	C₂×C₄	—	94	1	no	—
1262	C₂×C₄	—	94	1	no	—
1263	C₂×C₄	—	94	1	no	—
1264	C₂×C₄	—	94	1	no	—
1265	C₂×C₄	—	94	1	no	—
1266	C₂×C₄	—	94	1	no	—
1267	C₂×C₄	—	94	1	no	—
1268	C₂×C₄	—	94	1	no	—
1269	C₂×C₄	—	94	1	no	—
1270	C₂×C₄	—	94	1	no	—
1271	C₂×C₄	—	94	1	no	—
1272	C₂×C₄	—	94	1	no	—
1273	C₂×C₄	—	94	1	no	—
1274	C₂×C₄	—	94	1	no	—
1275	C₂×C₄	—	94	1	no	—
1276	C₂×C₄	—	94	1	no	—
1277	C₂×C₄	—	94	1	no	—
1278	C₂×C₄	—	94	1	no	—
1279	C₂×C₄	—	94	1	no	—
1280	C₂×C₄	—	94	1	no	—
1281	C₂×C₄	—	94	1	no	—
1282	C₂×C₄	—	94	1	no	—
1283	C₂×C₄	—	94	1	no	—
1284	C₂×C₄	—	94	1	no	—
1285	C₂×C₄	—	94	1	no	—
1286	C₂×C₄	—	94	1	no	—
1287	C₂×C₄	—	94	1	no	—
1288	C₂×C₄	—	94	1	no	—
1289	C₂×C₄	—	94	1	no	—
1290	C₂×C₄	—	376	2	no	—
1291	C₂×C₄	—	376	2	no	—
1292	C₂×C₄	—	376	2	no	—
1293	C₂×C₄	—	188	4	no	—
1294	C₂×C₄	—	188	4	no	—
1295	C₂×C₄	#41×D₄₇	1	2	yes	—
1296	C₂×C₄	#13094072	1	2	yes	—
1297	C₂²	—	94	2	no	—
1298	C₂²	—	94	2	no	—
1299	C₂²	—	94	2	no	—
1300	C₂²	—	188	1	no	—
1301	C₂²	—	188	1	no	—
1302	C₂²	—	188	1	no	—
1303	C₂²	—	188	1	no	—
1304	C₂²	—	188	1	no	—
1305	C₂²	—	188	1	no	—
1306	C₂²	—	188	1	no	—
1307	C₂²	—	188	1	no	—
1308	C₂²	—	188	1	no	—
1309	C₂²	—	188	1	no	—
1310	C₂²	—	188	1	no	—
1311	C₂²	—	188	1	no	—
1312	C₂²	—	188	1	no	—
1313	C₂²	—	188	1	no	—
1314	C₂²	—	188	1	no	—
1315	C₂²	—	188	1	no	—
1316	C₂²	—	188	1	no	—
1317	C₂²	—	188	1	no	—
1318	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
1319	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1320	C₂²	C₂×#13094072	1	1	yes	characteristic
1321	C₂²	#15689959	1	1	yes	characteristic
1322	C₂²	#15689959	1	1	yes	characteristic
1323	C₂²	#15689959	1	1	yes	characteristic
1324	C₂²	#15689960	1	1	yes	characteristic
1325	C₄	—	2	2	no	—
1326	C₄	—	2	2	no	—
1327	C₄	—	4	1	no	—
1328	C₄	—	4	1	no	—
1329	C₄	—	4	1	no	—
1330	C₄	—	4	1	no	—
1331	C₄	—	4	1	no	—
1332	C₄	—	4	1	no	—
1333	C₄	—	4	1	no	—
1334	C₄	—	4	1	no	—
1335	C₄	—	4	1	no	—
1336	C₄	—	4	1	no	—
1337	C₄	—	4	1	no	—
1338	C₄	—	4	1	no	—
1339	C₄	—	4	1	no	—
1340	C₄	—	94	2	no	—
1341	C₄	—	94	2	no	—
1342	C₄	—	188	1	no	—
1343	C₄	—	188	1	no	—
1344	C₄	—	188	1	no	—
1345	C₄	—	188	1	no	—
1346	C₄	—	188	1	no	—
1347	C₄	—	188	1	no	—
1348	C₄	—	188	1	no	—
1349	C₄	—	188	1	no	—
1350	C₄	—	188	1	no	—
1351	C₄	—	188	1	no	—
1352	C₄	—	188	1	no	—
1353	C₂	—	376	1	no	—
1354	C₂	—	376	1	no	—
1355	C₂	—	188	2	no	—
1356	C₂	#20256771	1	1	yes	characteristic
1357	C₂	#20257135	1	1	yes	characteristic
1358	C₂	#20257220	1	1	yes	characteristic
1359	C₂	#20257895	1	1	yes	characteristic
1360	C₂	#20257923	1	1	yes	characteristic
1361	C₂	#20257969	1	1	yes	characteristic
1362	C₂	#20258083	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator, socle, cosocle	C₂³×C₄₇	C₂⁵
Fitting	C₄₇×#2588	C₂
prime radical	#15689033	C₂²
hypercenter	#2588	D₄₇
hypocenter	C₄₇	#36996
LCS	G ▷ C₂³×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ #2588

Complements

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

N	H ≅ G/N	type
1. #20251778	C₂	semidirect
2. #20251772	C₂	semidirect
4. #20251126	C₂	semidirect
5. #20251113	C₂	semidirect
6. #20251107	C₂	semidirect
7. #20250938	C₂	semidirect
8. #20250832	C₂	semidirect
9. #20250756	C₂	semidirect
10. #20250702	C₂	semidirect
12. #20250519	C₂	semidirect
13. #20250509	C₂	semidirect
14. #20250485	C₂	semidirect
15. #20250312	C₂	semidirect
16. #20250019	C₂	semidirect
17. #20250018	C₂	semidirect
18. #20249963	C₂	semidirect
19. #20249457	C₂	semidirect
20. #20249440	C₂	semidirect
22. #20248888	C₂	semidirect
23. #20248567	C₂	semidirect
24. #20247619	C₂	semidirect
25. #20247606	C₂	semidirect
26. #20247061	C₂	semidirect
27. #20246816	C₂	semidirect
28. #20246139	C₂	semidirect
29. #20246020	C₂	semidirect
30. #20245849	C₂	semidirect
31. C₄₇×#2588	C₂	semidirect
694. #2588	D₄₇	semidirect
868. C₄₇	#36996	semidirect

Maximal subgroups

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

subgroup	index
#20251778	2
#20251772	2
#20251240	2
#20251126	2
#20251113	2
#20251107	2
#20250938	2
#20250832	2
#20250756	2
#20250702	2
#20250671	2
#20250519	2
#20250509	2
#20250485	2
#20250312	2
#20250019	2
#20250018	2
#20249963	2
#20249457	2
#20249440	2
#20248977	2
#20248888	2
#20248567	2
#20247619	2
#20247606	2
#20247061	2
#20246816	2
#20246139	2
#20246020	2
#20245849	2
C₄₇×#2588	2
#36996	47