Subgroups — #26380641

Order 12032.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689725	C₂	1	1	yes	maximal, characteristic
2	#20246570	C₂	1	1	yes	maximal, characteristic, complemented
3	#20246547	C₂	1	1	yes	maximal, characteristic, complemented
4	#20246544	C₂	1	1	yes	maximal, characteristic, complemented
5	#20246533	C₂	1	1	yes	maximal, characteristic, complemented
6	#20246522	C₂	1	1	yes	maximal, characteristic, complemented
7	#20246490	C₂	1	1	yes	maximal, characteristic, complemented
8	#20246439	C₂	1	1	yes	maximal, characteristic, complemented
9	#20246434	C₂	1	1	yes	maximal, characteristic, complemented
10	#20246425	C₂	1	1	yes	maximal, characteristic, complemented
11	#20246404	C₂	1	1	yes	maximal, characteristic, complemented
12	#20246387	C₂	1	1	yes	maximal, characteristic, complemented
13	#20246383	C₂	1	1	yes	maximal, characteristic, complemented
14	#20246325	C₂	1	1	yes	maximal, characteristic, complemented
15	#20246313	C₂	1	1	yes	maximal, characteristic, complemented
16	#20246272	C₂	1	1	yes	maximal, characteristic, complemented
17	#20246243	C₂	1	1	yes	maximal, characteristic, complemented
18	#20246183	C₂	1	1	yes	maximal, characteristic, complemented
19	#20246182	C₂	1	1	yes	maximal, characteristic, complemented
20	#20246154	C₂	1	1	yes	maximal, characteristic, complemented
21	#20246151	C₂	1	1	yes	maximal, characteristic, complemented
22	#20246110	C₂	1	1	yes	maximal, characteristic, complemented
23	#20246109	C₂	1	1	yes	maximal, characteristic, complemented
24	#20246092	C₂	1	1	yes	maximal, characteristic, complemented
25	#20246085	C₂	1	1	yes	maximal, characteristic, complemented
26	#20246080	C₂	1	1	yes	maximal, characteristic, complemented
27	#20246018	C₂	1	1	yes	maximal, characteristic, complemented
28	#20245907	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#13093996	C₂	1	1	yes	maximal, characteristic, complemented
30	#20245824	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#2322	C₂	1	1	yes	maximal, characteristic, complemented
32	#15689725	C₄	1	16	yes	complemented
33	C₂×#13094020	C₂²	1	1	yes	characteristic
34	C₂×#13094014	C₂²	1	1	yes	characteristic
35	C₂×#13094009	C₂²	1	1	yes	characteristic
36	C₂×#13094008	C₂²	1	1	yes	characteristic
37	C₂×#13094006	C₂²	1	1	yes	characteristic
38	C₂×#13093999	C₂²	1	1	yes	characteristic
39	C₂×#13093998	C₂²	1	1	yes	characteristic
40	C₂×#13093997	C₂²	1	1	yes	characteristic
41	C₂×#13093997	C₂²	1	1	yes	characteristic
42	C₂×#13093997	C₂²	1	1	yes	characteristic
43	C₂×#13093996	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
46	C₂×#13093986	C₂²	1	1	yes	characteristic
47	C₂×C₄×C₂²⋊D₄₇	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×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
51	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
52	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
53	C₂×#13093982	C₂²	1	1	yes	characteristic
54	C₂×#13093982	C₂²	1	1	yes	characteristic
55	C₂×#13093982	C₂²	1	1	yes	characteristic
56	C₂²×C₄×Dic₄₇	C₂²	1	1	yes	characteristic
57	#15689026	C₂²	1	1	yes	characteristic
58	#15689024	C₂²	1	1	yes	characteristic
59	#15689024	C₂²	1	1	yes	characteristic
60	#15689024	C₂²	1	1	yes	characteristic
61	#15689023	C₂²	1	1	yes	characteristic
62	#15689023	C₂²	1	1	yes	characteristic
63	#15689023	C₂²	1	1	yes	characteristic
64	#15689023	C₂²	1	1	yes	characteristic
65	#15689022	C₂²	1	1	yes	characteristic
66	#15689019	C₂²	1	1	yes	characteristic
67	#15689018	C₂²	1	1	yes	characteristic
68	#15689018	C₂²	1	1	yes	characteristic
69	#15689017	C₂²	1	1	yes	characteristic
70	#15689017	C₂²	1	1	yes	characteristic
71	#15689016	C₂²	1	1	yes	characteristic
72	#15689016	C₂²	1	1	yes	characteristic
73	#15689016	C₂²	1	1	yes	characteristic
74	#15689016	C₂²	1	1	yes	characteristic
75	#15689015	C₂²	1	1	yes	characteristic
76	#15689015	C₂²	1	1	yes	characteristic
77	#15689015	C₂²	1	1	yes	characteristic
78	#15689015	C₂²	1	1	yes	characteristic
79	#15689014	C₂²	1	1	yes	characteristic
80	#15689014	C₂²	1	1	yes	characteristic
81	#15689013	C₂²	1	1	yes	characteristic
82	#15689013	C₂²	1	1	yes	characteristic
83	#15689013	C₂²	1	1	yes	characteristic
84	#15689013	C₂²	1	1	yes	characteristic
85	#15689013	C₂²	1	1	yes	characteristic
86	#15689013	C₂²	1	1	yes	characteristic
87	#15689010	C₂²	1	1	yes	characteristic
88	#15689010	C₂²	1	1	yes	characteristic
89	#15689010	C₂²	1	1	yes	characteristic
90	#15689009	C₂²	1	1	yes	characteristic
91	#15689009	C₂²	1	1	yes	characteristic
92	#15689008	C₂²	1	1	yes	characteristic
93	#15689007	C₂²	1	1	yes	characteristic
94	#15689007	C₂²	1	1	yes	characteristic
95	#15689006	C₂²	1	1	yes	characteristic
96	#15689006	C₂²	1	1	yes	characteristic
97	#15689006	C₂²	1	1	yes	characteristic
98	#15689005	C₂²	1	1	yes	characteristic
99	#15689005	C₂²	1	1	yes	characteristic
100	#15689005	C₂²	1	1	yes	characteristic
101	#15689005	C₂²	1	1	yes	characteristic
102	#15689004	C₂²	1	1	yes	characteristic
103	#15689004	C₂²	1	1	yes	characteristic
104	#15689004	C₂²	1	1	yes	characteristic
105	#15689003	C₂²	1	1	yes	characteristic
106	#15689002	C₂²	1	1	yes	characteristic
107	#15689002	C₂²	1	1	yes	characteristic
108	#15689002	C₂²	1	1	yes	characteristic
109	#15689002	C₂²	1	1	yes	characteristic
110	#15689002	C₂²	1	1	yes	characteristic
111	#15689002	C₂²	1	1	yes	characteristic
112	#15689001	C₂²	1	1	yes	characteristic
113	#15689001	C₂²	1	1	yes	characteristic
114	#15689001	C₂²	1	1	yes	characteristic
115	#15689001	C₂²	1	1	yes	characteristic
116	#15689001	C₂²	1	1	yes	characteristic
117	#15689001	C₂²	1	1	yes	characteristic
118	#15689000	C₂²	1	1	yes	characteristic
119	#15689000	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	#15688999	C₂²	1	1	yes	characteristic
124	#15688999	C₂²	1	1	yes	characteristic
125	#15688999	C₂²	1	1	yes	characteristic
126	#15688999	C₂²	1	1	yes	characteristic
127	#15688999	C₂²	1	1	yes	characteristic
128	#15688998	C₂²	1	1	yes	characteristic
129	#15688997	C₂²	1	1	yes	characteristic
130	#15688997	C₂²	1	1	yes	characteristic
131	#15688997	C₂²	1	1	yes	characteristic
132	#15688994	C₂²	1	1	yes	characteristic
133	#15688994	C₂²	1	1	yes	characteristic
134	#15688994	C₂²	1	1	yes	characteristic
135	#15688990	C₂²	1	1	yes	characteristic
136	#15688988	C₂²	1	1	yes	characteristic
137	#15688988	C₂²	1	1	yes	characteristic
138	#15688987	C₂²	1	1	yes	characteristic
139	#15688985	C₂²	1	1	yes	characteristic
140	#15688984	C₂²	1	1	yes	characteristic
141	#15688983	C₂²	1	1	yes	characteristic
142	#15688982	C₂²	1	1	yes	characteristic
143	#15688981	C₂²	1	1	yes	characteristic
144	#15688980	C₂²	1	1	yes	characteristic
145	#15688980	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
149	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
150	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
151	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
152	#15688974	C₂²	1	1	yes	characteristic
153	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×Dic₄₇	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	#15688970	C₂²	1	1	yes	characteristic
167	#15688969	C₂²	1	1	yes	characteristic
168	#15688968	C₂²	1	1	yes	characteristic
169	#15688968	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×#123×C₄₇	C₂²	1	1	yes	characteristic
174	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
175	C₂²×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
176	C₄₇×#389	C₂²	1	1	yes	characteristic
177	C₄₇×#389	C₂²	1	1	yes	characteristic
178	C₄₇×#388	C₂²	1	1	yes	characteristic
179	C₄₇×#388	C₂²	1	1	yes	characteristic
180	C₄₇×#387	C₂²	1	1	yes	characteristic
181	C₄₇×#387	C₂²	1	1	yes	characteristic
182	C₄₇×#386	C₂²	1	1	yes	characteristic
183	C₄₇×#385	C₂²	1	1	yes	characteristic
184	C₄₇×#385	C₂²	1	1	yes	characteristic
185	C₄₇×#385	C₂²	1	1	yes	characteristic
186	C₄₇×#381	C₂²	1	1	yes	characteristic
187	C₄×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
188	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
189	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
190	C₂²×D₁₈₈	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	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
198	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₄₇	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	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
208	#13094020	C₂×C₄	1	8	yes	complemented
209	#13094014	C₂×C₄	1	8	yes	complemented
210	#13094009	C₂×C₄	1	8	yes	complemented
211	#13094008	C₂×C₄	1	8	yes	complemented
212	#13094006	C₂×C₄	1	8	yes	complemented
213	#13093999	C₂×C₄	1	8	yes	complemented
214	#13093998	C₂×C₄	1	8	yes	complemented
215	#13093997	C₂×C₄	1	8	yes	complemented
216	#13093997	C₂×C₄	1	8	yes	complemented
217	#13093997	C₂×C₄	1	8	yes	complemented
218	#13093996	C₂×C₄	1	8	yes	complemented
219	C₄×D₁₈₈	—	4	2	no	—
220	C₄×D₁₈₈	—	4	2	no	—
221	#13093986	—	4	2	no	—
222	C₄×C₂²⋊D₄₇	—	4	2	no	—
223	C₄×C₂²⋊D₄₇	—	4	2	no	—
224	C₄×C₂²⋊D₄₇	—	4	2	no	—
225	C₄×C₂²⋊D₄₇	C₂×C₄	1	8	yes	complemented
226	(C₂²⋊D₄₇)⋊C₄	—	4	2	no	—
227	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	8	yes	complemented
228	#13093982	—	4	2	no	—
229	#13093982	—	4	2	no	—
230	#13093982	C₂×C₄	1	8	yes	complemented
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×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₄₇	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×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
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×(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×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₄₇	—	4	2	no	—
281	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
298	C₄₇⋊#95	C₂³	1	1	yes	characteristic
299	C₄₇⋊#95	C₂³	1	1	yes	characteristic
300	C₄₇⋊#95	C₂³	1	1	yes	characteristic
301	C₄₇⋊#95	C₂³	1	1	yes	characteristic
302	C₄₇⋊#95	C₂³	1	1	yes	characteristic
303	C₄₇⋊#95	C₂³	1	1	yes	characteristic
304	C₄₇⋊#95	C₂³	1	1	yes	characteristic
305	C₄₇⋊#95	C₂³	1	1	yes	characteristic
306	C₄₇⋊#95	C₂³	1	1	yes	characteristic
307	C₄₇⋊#95	C₂³	1	1	yes	characteristic
308	C₄₇⋊#95	C₂³	1	1	yes	characteristic
309	C₄₇⋊#95	C₂³	1	1	yes	characteristic
310	C₄₇⋊#95	C₂³	1	1	yes	characteristic
311	C₄₇⋊#95	C₂³	1	1	yes	characteristic
312	C₄₇⋊#95	C₂³	1	1	yes	characteristic
313	C₄₇⋊#95	C₂³	1	1	yes	characteristic
314	C₄₇⋊#95	C₂³	1	1	yes	characteristic
315	C₄₇⋊#95	C₂³	1	1	yes	characteristic
316	C₄₇⋊#95	C₂³	1	1	yes	characteristic
317	C₄₇⋊#95	C₂³	1	1	yes	characteristic
318	C₄₇⋊#95	C₂³	1	1	yes	characteristic
319	C₄₇⋊#95	C₂³	1	1	yes	characteristic
320	C₄₇⋊#95	C₂³	1	1	yes	characteristic
321	C₄₇⋊#95	C₂³	1	1	yes	characteristic
322	C₄₇⋊#95	C₂³	1	1	yes	characteristic
323	C₄₇⋊#95	C₂³	1	1	yes	characteristic
324	C₄₇⋊#95	C₂³	1	1	yes	characteristic
325	C₄₇⋊#95	C₂³	1	1	yes	characteristic
326	C₄₇⋊#95	C₂³	1	1	yes	characteristic
327	C₄₇⋊#95	C₂³	1	1	yes	characteristic
328	C₄₇⋊#95	C₂³	1	1	yes	characteristic
329	C₄₇⋊#95	C₂³	1	1	yes	characteristic
330	C₄₇⋊#95	C₂³	1	1	yes	characteristic
331	C₄₇⋊#95	C₂³	1	1	yes	characteristic
332	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
333	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
334	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
335	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
336	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
337	#123×C₄₇	C₂×C₄	1	8	yes	complemented
338	C₄×D₄×C₄₇	—	4	2	no	—
339	C₂×C₄⋊C₄×C₄₇	—	4	2	no	—
340	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
357	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
358	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
359	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
360	#95×C₄₇	C₂³	1	1	yes	characteristic
361	#95×C₄₇	C₂³	1	1	yes	characteristic
362	#95×C₄₇	C₂³	1	1	yes	characteristic
363	#95×C₄₇	C₂³	1	1	yes	characteristic
364	#95×C₄₇	C₂³	1	1	yes	characteristic
365	#95×C₄₇	C₂³	1	1	yes	characteristic
366	#95×C₄₇	C₂³	1	1	yes	characteristic
367	#95×C₄₇	C₂³	1	1	yes	characteristic
368	#95×C₄₇	C₂³	1	1	yes	characteristic
369	#95×C₄₇	C₂³	1	1	yes	characteristic
370	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
371	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
372	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
373	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
374	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
375	C₂×D₄×C₄₇	—	4	1	no	—
376	C₂×D₄×C₄₇	—	4	1	no	—
377	C₂×D₄×C₄₇	C₂²×C₄	1	4	yes	—
378	C₂²×C₄×C₄₇	—	2	2	no	—
379	C₂²×C₄×C₄₇	—	2	2	no	—
380	C₂²×C₄×C₄₇	—	4	1	no	—
381	C₂²×C₄×C₄₇	—	4	1	no	—
382	C₂²×C₄×C₄₇	—	4	1	no	—
383	C₂²×C₄×C₄₇	—	4	1	no	—
384	C₂²×C₄×C₄₇	—	4	1	no	—
385	C₂²×C₄×C₄₇	—	4	1	no	—
386	C₂²×C₄×C₄₇	—	4	1	no	—
387	C₂²×C₄×C₄₇	—	4	1	no	—
388	C₂²×C₄×C₄₇	—	4	1	no	—
389	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
390	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
403	C₂×C₂²⋊D₄₇	—	4	1	no	—
404	C₂×C₂²⋊D₄₇	—	4	1	no	—
405	C₂×C₂²⋊D₄₇	—	4	1	no	—
406	C₂×C₂²⋊D₄₇	—	4	1	no	—
407	C₂×C₂²⋊D₄₇	—	4	1	no	—
408	C₂×C₂²⋊D₄₇	—	4	1	no	—
409	C₂×C₂²⋊D₄₇	—	4	1	no	—
410	C₂×C₂²⋊D₄₇	—	4	1	no	—
411	C₂×C₂²⋊D₄₇	—	4	1	no	—
412	C₂×C₂²⋊D₄₇	—	4	1	no	—
413	C₂×C₂²⋊D₄₇	—	4	1	no	—
414	C₂×C₂²⋊D₄₇	—	4	1	no	—
415	C₂×C₂²⋊D₄₇	C₂²×C₄	1	4	yes	—
416	C₂×C₂²⋊D₄₇	C₂²×C₄	1	4	yes	—
417	C₂×C₂²⋊D₄₇	C₂²×C₄	1	4	yes	—
418	C₂×C₂²⋊D₄₇	C₂²×C₄	1	4	yes	—
419	C₂×C₂²⋊D₄₇	C₂²×C₄	1	4	yes	—
420	C₂×C₂²⋊D₄₇	C₂²×C₄	1	4	yes	—
421	C₂²×Dic₄₇	—	2	2	no	—
422	C₂²×Dic₄₇	—	4	1	no	—
423	C₂²×Dic₄₇	—	4	1	no	—
424	C₂²×Dic₄₇	—	4	1	no	—
425	C₂²×Dic₄₇	—	4	1	no	—
426	C₂²×Dic₄₇	C₂²×C₄	1	4	yes	—
427	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
440	C₂×D₁₈₈	—	4	1	no	—
441	C₂×D₁₈₈	—	4	1	no	—
442	C₂×D₁₈₈	—	4	1	no	—
443	C₂×D₁₈₈	—	4	1	no	—
444	C₂×D₁₈₈	—	4	1	no	—
445	C₂×D₁₈₈	—	4	1	no	—
446	C₂×D₁₈₈	C₂²×C₄	1	4	yes	—
447	C₂×D₁₈₈	C₂²×C₄	1	4	yes	—
448	C₂×D₁₈₈	C₂²×C₄	1	4	yes	—
449	C₂×C₄×D₄₇	—	2	2	no	—
450	C₂×C₄×D₄₇	—	2	2	no	—
451	C₂×C₄×D₄₇	—	4	1	no	—
452	C₂×C₄×D₄₇	—	4	1	no	—
453	C₂×C₄×D₄₇	—	4	1	no	—
454	C₂×C₄×D₄₇	—	4	1	no	—
455	C₂×C₄×D₄₇	—	4	1	no	—
456	C₂×C₄×D₄₇	—	4	1	no	—
457	C₂×C₄×D₄₇	—	4	1	no	—
458	C₂×C₄×D₄₇	—	4	1	no	—
459	C₂×C₄×D₄₇	—	4	1	no	—
460	C₂×C₄×D₄₇	—	4	1	no	—
461	C₂×C₄×D₄₇	—	4	1	no	—
462	C₂×C₄×D₄₇	—	4	1	no	—
463	C₂×C₄×D₄₇	—	4	1	no	—
464	C₂×C₄×D₄₇	—	4	1	no	—
465	C₂×C₄×D₄₇	—	4	1	no	—
466	C₂×C₄×D₄₇	—	4	1	no	—
467	C₂×C₄×D₄₇	—	4	1	no	—
468	C₂×C₄×D₄₇	—	4	1	no	—
469	C₂×C₄×D₄₇	—	4	1	no	—
470	C₂×C₄×D₄₇	—	4	1	no	—
471	C₂×C₄×D₄₇	—	4	1	no	—
472	C₂×C₄×D₄₇	—	4	1	no	—
473	C₂×C₄×D₄₇	C₂²×C₄	1	4	yes	—
474	C₂×C₄×D₄₇	C₂²×C₄	1	4	yes	—
475	C₂×C₄×D₄₇	C₂²×C₄	1	4	yes	—
476	C₄⋊C₄×C₄₇	—	2	2	no	—
477	C₄⋊C₄×C₄₇	—	2	2	no	—
478	C₄⋊C₄×C₄₇	—	4	1	no	—
479	C₄⋊C₄×C₄₇	—	4	1	no	—
480	C₄⋊C₄×C₄₇	—	4	1	no	—
481	C₄⋊C₄×C₄₇	—	4	1	no	—
482	C₄⋊C₄×C₄₇	—	4	1	no	—
483	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
484	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
485	C₂²⋊C₄×C₄₇	—	4	1	no	—
486	C₂²⋊C₄×C₄₇	—	4	1	no	—
487	C₂²⋊C₄×C₄₇	—	4	1	no	—
488	C₂²⋊C₄×C₄₇	—	4	1	no	—
489	C₂²⋊C₄×C₄₇	—	4	1	no	—
490	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
491	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
492	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
493	C₄²×C₄₇	—	2	2	no	—
494	C₄²×C₄₇	—	4	1	no	—
495	C₄²×C₄₇	—	4	1	no	—
496	C₂²⋊Dic₄₇	—	2	2	no	—
497	C₂²⋊Dic₄₇	—	4	1	no	—
498	C₂²⋊Dic₄₇	—	4	1	no	—
499	C₂²⋊Dic₄₇	—	4	1	no	—
500	C₂²⋊Dic₄₇	—	4	1	no	—
501	C₂²⋊Dic₄₇	—	4	1	no	—
502	C₂²⋊Dic₄₇	—	4	1	no	—
503	C₂²⋊Dic₄₇	C₂²×C₄	1	4	yes	—
504	(C₂×D₄₇)⋊C₄	—	2	2	no	—
505	(C₂×D₄₇)⋊C₄	—	2	2	no	—
506	(C₂×D₄₇)⋊C₄	—	2	2	no	—
507	(C₂×D₄₇)⋊C₄	—	2	2	no	—
508	(C₂×D₄₇)⋊C₄	—	4	1	no	—
509	(C₂×D₄₇)⋊C₄	—	4	1	no	—
510	(C₂×D₄₇)⋊C₄	—	4	1	no	—
511	(C₂×D₄₇)⋊C₄	—	4	1	no	—
512	(C₂×D₄₇)⋊C₄	—	4	1	no	—
513	(C₂×D₄₇)⋊C₄	—	4	1	no	—
514	(C₂×D₄₇)⋊C₄	—	4	1	no	—
515	(C₂×D₄₇)⋊C₄	—	4	1	no	—
516	(C₂×D₄₇)⋊C₄	—	4	1	no	—
517	(C₂×D₄₇)⋊C₄	—	4	1	no	—
518	(C₂×D₄₇)⋊C₄	—	4	1	no	—
519	(C₂×D₄₇)⋊C₄	—	4	1	no	—
520	(C₂×D₄₇)⋊C₄	—	4	1	no	—
521	(C₂×D₄₇)⋊C₄	—	4	1	no	—
522	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
523	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
524	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
525	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
526	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
527	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
528	C₄⋊Dic₄₇	—	2	2	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	C₂²×C₄	1	4	yes	—
534	C₄⋊Dic₄₇	C₂²×C₄	1	4	yes	—
535	Dic₄₇⋊C₄	—	4	1	no	—
536	Dic₄₇⋊C₄	—	4	1	no	—
537	Dic₄₇⋊C₄	—	4	1	no	—
538	Dic₄₇⋊C₄	—	4	1	no	—
539	Dic₄₇⋊C₄	—	4	1	no	—
540	Dic₄₇⋊C₄	—	4	1	no	—
541	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
542	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
543	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
544	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
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	—	4	1	no	—
550	C₄×Dic₄₇	—	4	1	no	—
551	C₄×Dic₄₇	—	4	1	no	—
552	C₄×Dic₄₇	—	4	1	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	C₄×Dic₄₇	—	4	1	no	—
558	C₄×Dic₄₇	—	4	1	no	—
559	C₄×Dic₄₇	—	4	1	no	—
560	C₄×Dic₄₇	C₂²×C₄	1	4	yes	—
561	C₄×Dic₄₇	C₂²×C₄	1	4	yes	—
562	C₂³×C₄₇	—	2	1	no	—
563	C₂³×C₄₇	—	2	1	no	—
564	C₂³×C₄₇	—	2	1	no	—
565	C₂³×C₄₇	—	2	1	no	—
566	C₂³×C₄₇	—	2	1	no	—
567	C₂³×C₄₇	—	2	1	no	—
568	C₂³×C₄₇	—	2	1	no	—
569	C₂³×C₄₇	—	2	1	no	—
570	C₂³×C₄₇	—	2	1	no	—
571	C₂³×C₄₇	—	2	1	no	—
572	C₂³×C₄₇	—	2	1	no	—
573	C₂³×C₄₇	—	2	1	no	—
574	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
575	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
576	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
577	C₂²×D₄₇	—	2	1	no	—
578	C₂²×D₄₇	—	2	1	no	—
579	C₂²×D₄₇	—	2	1	no	—
580	C₂²×D₄₇	—	2	1	no	—
581	C₂²×D₄₇	—	2	1	no	—
582	C₂²×D₄₇	—	2	1	no	—
583	C₂²×D₄₇	—	2	1	no	—
584	C₂²×D₄₇	—	2	1	no	—
585	C₂²×D₄₇	—	2	1	no	—
586	C₂²×D₄₇	—	2	1	no	—
587	C₂²×D₄₇	—	2	1	no	—
588	C₂²×D₄₇	—	2	1	no	—
589	C₂²×D₄₇	—	2	1	no	—
590	C₂²×D₄₇	—	2	1	no	—
591	C₂²×D₄₇	—	2	1	no	—
592	C₂²×D₄₇	—	2	1	no	—
593	C₂²×D₄₇	—	2	1	no	—
594	C₂²×D₄₇	—	2	1	no	—
595	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
596	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
597	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
598	D₄×C₄₇	—	4	4	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	—	2	1	no	—
603	C₂×C₄×C₄₇	—	2	1	no	—
604	C₂×C₄×C₄₇	—	2	1	no	—
605	C₂×C₄×C₄₇	—	2	1	no	—
606	C₂×C₄×C₄₇	—	2	1	no	—
607	C₂×C₄×C₄₇	—	2	1	no	—
608	C₂×C₄×C₄₇	—	2	1	no	—
609	C₂×C₄×C₄₇	—	2	1	no	—
610	C₂×C₄×C₄₇	—	2	1	no	—
611	C₂×C₄×C₄₇	—	2	1	no	—
612	C₂×C₄×C₄₇	—	2	1	no	—
613	C₂×C₄×C₄₇	—	2	1	no	—
614	C₂×C₄×C₄₇	—	2	1	no	—
615	C₂×C₄×C₄₇	—	2	1	no	—
616	C₂×C₄×C₄₇	—	2	1	no	—
617	C₂×C₄×C₄₇	—	2	1	no	—
618	C₂×C₄×C₄₇	—	2	1	no	—
619	C₂×C₄×C₄₇	—	2	1	no	—
620	C₂×C₄×C₄₇	—	2	1	no	—
621	C₂×C₄×C₄₇	—	2	1	no	—
622	C₂×C₄×C₄₇	—	2	1	no	—
623	C₂×C₄×C₄₇	—	2	1	no	—
624	C₂×C₄×C₄₇	—	2	1	no	—
625	C₂×C₄×C₄₇	—	2	1	no	—
626	C₂×C₄×C₄₇	—	2	1	no	—
627	C₂×C₄×C₄₇	—	2	1	no	—
628	C₂×C₄×C₄₇	—	2	1	no	—
629	C₂×C₄×C₄₇	—	2	1	no	—
630	C₂×C₄×C₄₇	—	2	1	no	—
631	C₂×C₄×C₄₇	—	2	1	no	—
632	C₂×C₄×C₄₇	—	4	4	no	—
633	C₂×C₄×C₄₇	—	4	4	no	—
634	C₂×C₄×C₄₇	—	8	2	no	—
635	C₂×C₄×C₄₇	—	8	2	no	—
636	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
637	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
638	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
639	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
640	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
641	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
642	C₂²⋊D₄₇	—	4	4	no	—
643	C₂²⋊D₄₇	—	4	4	no	—
644	C₂²⋊D₄₇	—	4	4	no	—
645	C₂²⋊D₄₇	—	4	4	no	—
646	C₂²⋊D₄₇	—	4	4	no	—
647	C₂²⋊D₄₇	—	4	4	no	—
648	C₂×Dic₄₇	—	2	1	no	—
649	C₂×Dic₄₇	—	2	1	no	—
650	C₂×Dic₄₇	—	2	1	no	—
651	C₂×Dic₄₇	—	2	1	no	—
652	C₂×Dic₄₇	—	2	1	no	—
653	C₂×Dic₄₇	—	2	1	no	—
654	C₂×Dic₄₇	—	2	1	no	—
655	C₂×Dic₄₇	—	2	1	no	—
656	C₂×Dic₄₇	—	2	1	no	—
657	C₂×Dic₄₇	—	2	1	no	—
658	C₂×Dic₄₇	—	2	1	no	—
659	C₂×Dic₄₇	—	2	1	no	—
660	C₂×Dic₄₇	—	2	1	no	—
661	C₂×Dic₄₇	—	2	1	no	—
662	C₂×Dic₄₇	—	2	1	no	—
663	C₂×Dic₄₇	—	2	1	no	—
664	C₂×Dic₄₇	—	2	1	no	—
665	C₂×Dic₄₇	—	2	1	no	—
666	C₂×Dic₄₇	—	2	1	no	—
667	C₂×Dic₄₇	—	2	1	no	—
668	C₂×Dic₄₇	—	2	1	no	—
669	C₂×Dic₄₇	—	2	1	no	—
670	C₂×Dic₄₇	—	2	1	no	—
671	C₂×Dic₄₇	—	2	1	no	—
672	C₂×Dic₄₇	—	2	1	no	—
673	C₂×Dic₄₇	—	2	1	no	—
674	C₂×Dic₄₇	—	2	1	no	—
675	C₂×Dic₄₇	—	2	1	no	—
676	C₂×Dic₄₇	—	2	1	no	—
677	C₂×Dic₄₇	—	2	1	no	—
678	C₂×Dic₄₇	—	2	1	no	—
679	C₂×Dic₄₇	—	2	1	no	—
680	C₂×Dic₄₇	—	2	1	no	—
681	C₂×Dic₄₇	—	4	4	no	—
682	C₂×Dic₄₇	—	4	4	no	—
683	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
684	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
685	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
686	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
687	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
688	C₂×Dic₄₇	H(5,𝔽₂)	1	2	yes	—
689	D₁₈₈	—	4	4	no	—
690	D₁₈₈	—	4	4	no	—
691	D₁₈₈	—	4	4	no	—
692	C₄×D₄₇	—	4	4	no	—
693	C₄×D₄₇	—	4	4	no	—
694	C₄×D₄₇	—	4	4	no	—
695	C₄×D₄₇	—	8	2	no	—
696	C₄×D₄₇	—	8	2	no	—
697	C₄×D₄₇	—	8	2	no	—
698	C₄×D₄₇	—	8	2	no	—
699	C₄×D₄₇	—	8	2	no	—
700	C₄×D₄₇	—	8	2	no	—
701	#34450	—	47	1	no	maximal, Sylow
702	C₂²×C₄₇	—	2	2	no	—
703	C₂²×C₄₇	—	2	2	no	—
704	C₂²×C₄₇	—	2	2	no	—
705	C₂²×C₄₇	—	2	2	no	—
706	C₂²×C₄₇	—	2	2	no	—
707	C₂²×C₄₇	—	2	2	no	—
708	C₂²×C₄₇	—	4	1	no	—
709	C₂²×C₄₇	—	4	1	no	—
710	C₂²×C₄₇	—	4	1	no	—
711	C₂²×C₄₇	—	4	1	no	—
712	C₂²×C₄₇	—	4	1	no	—
713	C₂²×C₄₇	—	4	1	no	—
714	C₂²×C₄₇	—	4	1	no	—
715	C₂²×C₄₇	—	4	1	no	—
716	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
717	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
718	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
719	C₂²×C₄₇	#585	1	1	yes	characteristic
720	C₂²×C₄₇	#585	1	1	yes	characteristic
721	C₂²×C₄₇	#585	1	1	yes	characteristic
722	C₂²×C₄₇	#585	1	1	yes	characteristic
723	C₂×D₄₇	—	2	2	no	—
724	C₂×D₄₇	—	2	2	no	—
725	C₂×D₄₇	—	2	2	no	—
726	C₂×D₄₇	—	2	2	no	—
727	C₂×D₄₇	—	2	2	no	—
728	C₂×D₄₇	—	2	2	no	—
729	C₂×D₄₇	—	2	2	no	—
730	C₂×D₄₇	—	2	2	no	—
731	C₂×D₄₇	—	2	2	no	—
732	C₂×D₄₇	—	4	1	no	—
733	C₂×D₄₇	—	4	1	no	—
734	C₂×D₄₇	—	4	1	no	—
735	C₂×D₄₇	—	4	1	no	—
736	C₂×D₄₇	—	4	1	no	—
737	C₂×D₄₇	—	4	1	no	—
738	C₂×D₄₇	—	4	1	no	—
739	C₂×D₄₇	—	4	1	no	—
740	C₂×D₄₇	—	4	1	no	—
741	C₂×D₄₇	—	4	1	no	—
742	C₂×D₄₇	—	4	1	no	—
743	C₂×D₄₇	—	4	1	no	—
744	C₄×C₄₇	—	2	2	no	—
745	C₄×C₄₇	—	2	2	no	—
746	C₄×C₄₇	—	2	2	no	—
747	C₄×C₄₇	—	2	2	no	—
748	C₄×C₄₇	—	2	2	no	—
749	C₄×C₄₇	—	2	2	no	—
750	C₄×C₄₇	—	4	1	no	—
751	C₄×C₄₇	—	4	1	no	—
752	C₄×C₄₇	—	4	1	no	—
753	C₄×C₄₇	—	4	1	no	—
754	C₄×C₄₇	—	4	1	no	—
755	C₄×C₄₇	—	4	1	no	—
756	C₄×C₄₇	—	4	1	no	—
757	Dic₄₇	—	2	2	no	—
758	Dic₄₇	—	2	2	no	—
759	Dic₄₇	—	2	2	no	—
760	Dic₄₇	—	2	2	no	—
761	Dic₄₇	—	2	2	no	—
762	Dic₄₇	—	2	2	no	—
763	Dic₄₇	—	4	1	no	—
764	Dic₄₇	—	4	1	no	—
765	Dic₄₇	—	4	1	no	—
766	Dic₄₇	—	4	1	no	—
767	Dic₄₇	—	4	1	no	—
768	Dic₄₇	—	4	1	no	—
769	Dic₄₇	—	4	1	no	—
770	C₂×#540	—	47	1	no	—
771	#2382	—	47	1	no	—
772	#2377	—	47	1	no	—
773	#2377	—	47	1	no	—
774	#2376	—	47	1	no	—
775	#2374	—	47	1	no	—
776	#2371	—	47	1	no	—
777	#2364	—	47	1	no	—
778	#2364	—	47	1	no	—
779	#2363	—	47	1	no	—
780	#2361	—	47	1	no	—
781	#2359	—	47	1	no	—
782	#2359	—	47	1	no	—
783	#2353	—	47	1	no	—
784	#2352	—	47	1	no	—
785	#2346	—	47	1	no	—
786	#2343	—	47	1	no	—
787	#2335	—	47	1	no	—
788	#2335	—	47	1	no	—
789	#2333	—	47	1	no	—
790	#2333	—	47	1	no	—
791	#2328	—	47	1	no	—
792	#2328	—	47	1	no	—
793	#2325	—	47	1	no	—
794	#2325	—	47	1	no	—
795	#2324	—	47	1	no	—
796	#2322	D₄₇	1	1	yes	characteristic, complemented
797	#2318	—	47	1	no	—
798	C₄×#123	—	47	1	no	—
799	C₄×#121	—	47	1	no	—
800	#2290	—	47	1	no	—
801	C₂×C₄₇	—	4	2	no	—
802	C₂×C₄₇	—	4	2	no	—
803	C₂×C₄₇	#3428	1	1	yes	characteristic
804	C₂×C₄₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
805	C₂×C₄₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
806	C₂×C₄₇	#3533	1	1	yes	characteristic
807	C₂×C₄₇	#3542	1	1	yes	characteristic
808	C₂×C₄₇	#3551	1	1	yes	characteristic
809	C₂×C₄₇	#3567	1	1	yes	characteristic
810	D₄₇	—	4	2	no	—
811	D₄₇	—	4	2	no	—
812	D₄₇	—	4	2	no	—
813	#540	—	47	16	no	—
814	C₂×#127	—	47	1	no	—
815	C₂×#125	—	47	1	no	—
816	C₂×#123	—	47	1	no	—
817	C₂×#123	—	47	1	no	—
818	C₂×#123	—	47	1	no	—
819	C₂×#123	C₂×D₄₇	1	1	yes	characteristic
820	C₂×#121	—	47	1	no	—
821	C₂×#121	—	47	1	no	—
822	C₂×#121	—	47	1	no	—
823	C₂×#121	—	47	1	no	—
824	C₂×#121	—	47	1	no	—
825	C₂×#121	—	47	1	no	—
826	C₂×C₄×D₄	—	47	1	no	—
827	C₂×C₄×D₄	—	47	1	no	—
828	C₂×C₄×D₄	—	47	1	no	—
829	C₂×C₄×D₄	—	47	1	no	—
830	C₂×C₄×D₄	—	47	1	no	—
831	C₂×C₄×D₄	—	47	1	no	—
832	C₂×C₄×D₄	—	47	1	no	—
833	C₂×C₄×D₄	—	47	1	no	—
834	C₂×C₄×D₄	—	47	1	no	—
835	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
836	C₂×#117	—	47	1	no	—
837	C₂×#117	—	47	1	no	—
838	C₂×#117	—	47	1	no	—
839	C₂²×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
840	C₂²×C₄²	—	47	1	no	—
841	#390	—	47	1	no	—
842	#390	—	47	1	no	—
843	#390	—	47	1	no	—
844	#390	—	47	1	no	—
845	#390	—	47	1	no	—
846	#390	—	47	1	no	—
847	#390	—	47	1	no	—
848	#390	—	47	1	no	—
849	#389	—	47	1	no	—
850	#389	—	47	1	no	—
851	#389	—	47	1	no	—
852	#389	—	47	1	no	—
853	#389	C₂×D₄₇	1	1	yes	characteristic
854	#389	C₂×D₄₇	1	1	yes	characteristic
855	#388	—	47	1	no	—
856	#388	—	47	1	no	—
857	#388	—	47	1	no	—
858	#388	—	47	1	no	—
859	#388	—	47	1	no	—
860	#388	—	47	1	no	—
861	#388	—	47	1	no	—
862	#388	—	47	1	no	—
863	#388	—	47	1	no	—
864	#388	—	47	1	no	—
865	#388	—	47	1	no	—
866	#388	—	47	1	no	—
867	#388	—	47	1	no	—
868	#388	—	47	1	no	—
869	#388	—	47	1	no	—
870	#388	—	47	1	no	—
871	#388	—	47	1	no	—
872	#388	—	47	1	no	—
873	#388	C₂×D₄₇	1	1	yes	characteristic
874	#388	C₂×D₄₇	1	1	yes	characteristic
875	#387	—	47	1	no	—
876	#387	—	47	1	no	—
877	#387	—	47	1	no	—
878	#387	—	47	1	no	—
879	#387	—	47	1	no	—
880	#387	—	47	1	no	—
881	#387	—	47	1	no	—
882	#387	—	47	1	no	—
883	#387	—	47	1	no	—
884	#387	—	47	1	no	—
885	#387	—	47	1	no	—
886	#387	—	47	1	no	—
887	#387	—	47	1	no	—
888	#387	—	47	1	no	—
889	#387	—	47	1	no	—
890	#387	—	47	1	no	—
891	#387	—	47	1	no	—
892	#387	—	47	1	no	—
893	#387	C₂×D₄₇	1	1	yes	characteristic
894	#387	C₂×D₄₇	1	1	yes	characteristic
895	#386	—	47	1	no	—
896	#386	—	47	1	no	—
897	#386	—	47	1	no	—
898	#386	—	47	1	no	—
899	#386	—	47	1	no	—
900	#386	—	47	1	no	—
901	#386	—	47	1	no	—
902	#386	—	47	1	no	—
903	#386	—	47	1	no	—
904	#386	—	47	1	no	—
905	#386	—	47	1	no	—
906	#386	—	47	1	no	—
907	#386	—	47	1	no	—
908	#386	—	47	1	no	—
909	#386	—	47	1	no	—
910	#386	—	47	1	no	—
911	#386	—	47	1	no	—
912	#386	—	47	1	no	—
913	#386	—	47	1	no	—
914	#386	—	47	1	no	—
915	#386	—	47	1	no	—
916	#386	—	47	1	no	—
917	#386	—	47	1	no	—
918	#386	C₂×D₄₇	1	1	yes	characteristic
919	#385	—	47	1	no	—
920	#385	—	47	1	no	—
921	#385	—	47	1	no	—
922	#385	—	47	1	no	—
923	#385	—	47	1	no	—
924	#385	—	47	1	no	—
925	#385	—	47	1	no	—
926	#385	C₂×D₄₇	1	1	yes	characteristic
927	#385	C₂×D₄₇	1	1	yes	characteristic
928	#385	C₂×D₄₇	1	1	yes	characteristic
929	#383	—	47	1	no	—
930	#382	—	47	1	no	—
931	#382	—	47	1	no	—
932	#382	—	47	1	no	—
933	#381	—	47	1	no	—
934	#381	—	47	1	no	—
935	#381	C₂×D₄₇	1	1	yes	characteristic
936	#380	—	47	1	no	—
937	#380	—	47	1	no	—
938	#380	—	47	1	no	—
939	#380	—	47	1	no	—
940	#380	—	47	1	no	—
941	C₄×C₄⋊C₄	—	47	1	no	—
942	C₄×C₄⋊C₄	—	47	1	no	—
943	C₄×C₄⋊C₄	—	47	1	no	—
944	C₄×C₄⋊C₄	—	47	1	no	—
945	C₄×C₄⋊C₄	—	47	1	no	—
946	C₄×C₄⋊C₄	—	47	1	no	—
947	C₄×C₄⋊C₄	—	47	1	no	—
948	C₄×C₂²⋊C₄	—	47	1	no	—
949	C₄×C₂²⋊C₄	—	47	1	no	—
950	C₄×C₂²⋊C₄	—	47	1	no	—
951	C₄×C₂²⋊C₄	—	47	1	no	—
952	C₄×C₂²⋊C₄	—	47	1	no	—
953	C₄×C₂²⋊C₄	—	47	1	no	—
954	C₄×C₂²⋊C₄	—	47	1	no	—
955	C₄×C₂²⋊C₄	—	47	1	no	—
956	C₄×C₂²⋊C₄	—	47	1	no	—
957	C₄×C₂²⋊C₄	—	47	1	no	—
958	C₄×C₂²⋊C₄	—	47	1	no	—
959	C₄×C₂²⋊C₄	—	47	1	no	—
960	C₄×C₂²⋊C₄	—	47	1	no	—
961	C₄×C₂²⋊C₄	—	47	1	no	—
962	C₄×C₂²⋊C₄	C₂×D₄₇	1	1	yes	characteristic
963	#376	—	47	1	no	—
964	#376	—	47	1	no	—
965	#376	—	47	1	no	—
966	C₂×#95	—	47	1	no	—
967	C₂×#95	—	47	1	no	—
968	C₂×#95	—	47	1	no	—
969	C₄₇	#34450	1	1	yes	characteristic, complemented, Sylow
970	C₂²×D₄	—	47	1	no	—
971	C₂²×D₄	—	47	1	no	—
972	C₂²×D₄	—	47	1	no	—
973	C₂²×D₄	—	47	1	no	—
974	C₂²×D₄	—	47	1	no	—
975	C₂²×D₄	—	47	1	no	—
976	C₂²×D₄	—	47	1	no	—
977	C₂²×D₄	—	47	1	no	—
978	C₂²×D₄	—	47	1	no	—
979	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
980	C₂³×C₄	—	47	1	no	—
981	C₂³×C₄	—	47	1	no	—
982	C₂³×C₄	—	47	1	no	—
983	C₂³×C₄	—	47	1	no	—
984	C₂³×C₄	—	47	1	no	—
985	C₂³×C₄	—	47	1	no	—
986	C₂³×C₄	—	47	1	no	—
987	C₂³×C₄	—	47	1	no	—
988	C₂³×C₄	—	47	1	no	—
989	C₂³×C₄	—	47	1	no	—
990	C₂³×C₄	—	47	1	no	—
991	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
992	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
993	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
994	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
995	#127	—	47	8	no	—
996	#125	—	47	8	no	—
997	#123	—	47	8	no	—
998	#123	—	47	8	no	—
999	#123	—	47	8	no	—
1000	#123	C₄×D₄₇	1	8	yes	complemented
1001	#121	—	47	8	no	—
1002	#121	—	47	8	no	—
1003	#121	—	47	8	no	—
1004	#121	—	47	8	no	—
1005	#121	—	47	8	no	—
1006	#121	—	47	8	no	—
1007	C₄×D₄	—	4	2	no	—
1008	C₄×D₄	—	47	8	no	—
1009	C₄×D₄	—	47	8	no	—
1010	C₄×D₄	—	188	2	no	—
1011	C₄×D₄	—	188	2	no	—
1012	C₄×D₄	—	188	2	no	—
1013	C₄×D₄	—	188	2	no	—
1014	C₄×D₄	—	188	2	no	—
1015	C₄×D₄	—	188	2	no	—
1016	C₄×D₄	—	188	2	no	—
1017	#117	—	47	8	no	—
1018	#117	—	188	2	no	—
1019	#117	—	188	2	no	—
1020	C₂×C₄⋊C₄	—	4	2	no	—
1021	C₂×C₄⋊C₄	—	47	1	no	—
1022	C₂×C₄⋊C₄	—	47	1	no	—
1023	C₂×C₄⋊C₄	—	47	1	no	—
1024	C₂×C₄⋊C₄	—	47	1	no	—
1025	C₂×C₄⋊C₄	—	47	1	no	—
1026	C₂×C₄⋊C₄	—	47	1	no	—
1027	C₂×C₄⋊C₄	—	47	1	no	—
1028	C₂×C₄⋊C₄	—	47	1	no	—
1029	C₂×C₄⋊C₄	—	47	1	no	—
1030	C₂×C₄⋊C₄	—	47	1	no	—
1031	C₂×C₄⋊C₄	—	47	1	no	—
1032	C₂×C₄⋊C₄	—	47	1	no	—
1033	C₂×C₄⋊C₄	—	47	1	no	—
1034	C₂×C₄⋊C₄	—	47	1	no	—
1035	C₂×C₄⋊C₄	—	47	1	no	—
1036	C₂×C₄⋊C₄	—	47	1	no	—
1037	C₂×C₄⋊C₄	—	47	1	no	—
1038	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1039	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	—	47	1	no	—
1048	C₂×C₂²⋊C₄	—	47	1	no	—
1049	C₂×C₂²⋊C₄	—	47	1	no	—
1050	C₂×C₂²⋊C₄	—	47	1	no	—
1051	C₂×C₂²⋊C₄	—	47	1	no	—
1052	C₂×C₂²⋊C₄	—	47	1	no	—
1053	C₂×C₂²⋊C₄	—	47	1	no	—
1054	C₂×C₂²⋊C₄	—	47	1	no	—
1055	C₂×C₂²⋊C₄	—	47	1	no	—
1056	C₂×C₂²⋊C₄	—	47	1	no	—
1057	C₂×C₂²⋊C₄	—	47	1	no	—
1058	C₂×C₂²⋊C₄	—	47	1	no	—
1059	C₂×C₂²⋊C₄	—	47	1	no	—
1060	C₂×C₂²⋊C₄	—	47	1	no	—
1061	C₂×C₂²⋊C₄	—	47	1	no	—
1062	C₂×C₂²⋊C₄	—	47	1	no	—
1063	C₂×C₂²⋊C₄	—	47	1	no	—
1064	C₂×C₂²⋊C₄	—	47	1	no	—
1065	C₂×C₂²⋊C₄	—	47	1	no	—
1066	C₂×C₂²⋊C₄	—	47	1	no	—
1067	C₂×C₂²⋊C₄	—	47	1	no	—
1068	C₂×C₂²⋊C₄	—	47	1	no	—
1069	C₂×C₂²⋊C₄	—	47	1	no	—
1070	C₂×C₂²⋊C₄	—	47	1	no	—
1071	C₂×C₂²⋊C₄	—	47	1	no	—
1072	C₂×C₂²⋊C₄	—	47	1	no	—
1073	C₂×C₂²⋊C₄	—	47	1	no	—
1074	C₂×C₂²⋊C₄	—	47	1	no	—
1075	C₂×C₂²⋊C₄	—	47	1	no	—
1076	C₂×C₂²⋊C₄	—	47	1	no	—
1077	C₂×C₂²⋊C₄	—	47	1	no	—
1078	C₂×C₂²⋊C₄	—	47	1	no	—
1079	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1087	C₂×C₄²	—	47	1	no	—
1088	C₂×C₄²	—	47	1	no	—
1089	C₂×C₄²	—	47	1	no	—
1090	C₂×C₄²	—	47	1	no	—
1091	C₂×C₄²	—	47	1	no	—
1092	C₂×C₄²	—	47	1	no	—
1093	C₂×C₄²	—	47	1	no	—
1094	C₂×C₄²	—	47	1	no	—
1095	C₂×C₄²	—	47	1	no	—
1096	C₂×C₄²	—	47	1	no	—
1097	C₂×C₄²	—	47	1	no	—
1098	C₂×C₄²	—	47	1	no	—
1099	C₂×C₄²	—	47	1	no	—
1100	C₂×C₄²	—	47	1	no	—
1101	C₂×C₄²	—	47	1	no	—
1102	C₂×C₄²	—	47	1	no	—
1103	C₂×C₄²	—	47	1	no	—
1104	C₂×C₄²	—	188	2	no	—
1105	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1106	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1107	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1108	#95	—	47	1	no	—
1109	#95	—	47	1	no	—
1110	#95	—	47	1	no	—
1111	#95	—	47	1	no	—
1112	#95	—	47	1	no	—
1113	#95	—	47	1	no	—
1114	#95	—	47	1	no	—
1115	#95	—	47	1	no	—
1116	#95	—	47	1	no	—
1117	#95	—	47	1	no	—
1118	#95	—	47	1	no	—
1119	#95	—	47	1	no	—
1120	#95	—	47	1	no	—
1121	#95	—	47	1	no	—
1122	#95	—	47	1	no	—
1123	#95	—	47	1	no	—
1124	#95	—	47	1	no	—
1125	#95	—	47	1	no	—
1126	#95	—	47	1	no	—
1127	#95	—	47	1	no	—
1128	#95	—	47	1	no	—
1129	#95	—	47	1	no	—
1130	#95	—	47	1	no	—
1131	#95	—	47	1	no	—
1132	#95	—	47	1	no	—
1133	#95	—	47	1	no	—
1134	#95	—	47	1	no	—
1135	#95	—	47	1	no	—
1136	#95	—	47	1	no	—
1137	#95	—	47	1	no	—
1138	#95	—	47	1	no	—
1139	#95	—	47	1	no	—
1140	#95	—	47	1	no	—
1141	#95	—	47	1	no	—
1142	#95	C₂²×D₄₇	1	1	yes	characteristic
1143	#95	C₂²×D₄₇	1	1	yes	characteristic
1144	#95	C₂²×D₄₇	1	1	yes	characteristic
1145	#95	C₂²×D₄₇	1	1	yes	characteristic
1146	#95	C₂²×D₄₇	1	1	yes	characteristic
1147	#95	C₂²×D₄₇	1	1	yes	characteristic
1148	#95	C₂²×D₄₇	1	1	yes	characteristic
1149	#95	C₂²×D₄₇	1	1	yes	characteristic
1150	#95	C₂²×D₄₇	1	1	yes	characteristic
1151	#95	C₂²×D₄₇	1	1	yes	characteristic
1152	C₂⁴	—	47	1	no	—
1153	C₂⁴	—	47	1	no	—
1154	C₂⁴	—	47	1	no	—
1155	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1156	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1157	C₂×D₄	—	4	1	no	—
1158	C₂×D₄	—	4	1	no	—
1159	C₂×D₄	—	47	4	no	—
1160	C₂×D₄	—	47	4	no	—
1161	C₂×D₄	—	47	4	no	—
1162	C₂×D₄	—	47	4	no	—
1163	C₂×D₄	—	47	4	no	—
1164	C₂×D₄	—	47	4	no	—
1165	C₂×D₄	—	47	4	no	—
1166	C₂×D₄	—	47	4	no	—
1167	C₂×D₄	—	47	4	no	—
1168	C₂×D₄	—	188	1	no	—
1169	C₂×D₄	—	188	1	no	—
1170	C₂×D₄	—	188	1	no	—
1171	C₂×D₄	—	188	1	no	—
1172	C₂×D₄	—	188	1	no	—
1173	C₂×D₄	—	188	1	no	—
1174	C₂×D₄	—	188	1	no	—
1175	C₂×D₄	—	188	1	no	—
1176	C₂×D₄	—	188	1	no	—
1177	C₂×D₄	—	188	1	no	—
1178	C₂×D₄	—	188	1	no	—
1179	C₂×D₄	—	188	1	no	—
1180	C₂×D₄	—	188	1	no	—
1181	C₂×D₄	—	188	1	no	—
1182	C₂×D₄	—	188	1	no	—
1183	C₂×D₄	—	188	1	no	—
1184	C₂×D₄	—	188	1	no	—
1185	C₂×D₄	—	188	1	no	—
1186	C₂×D₄	C₂×C₄×D₄₇	1	4	yes	—
1187	C₂²×C₄	—	2	2	no	—
1188	C₂²×C₄	—	2	2	no	—
1189	C₂²×C₄	—	4	1	no	—
1190	C₂²×C₄	—	4	1	no	—
1191	C₂²×C₄	—	4	1	no	—
1192	C₂²×C₄	—	4	1	no	—
1193	C₂²×C₄	—	4	1	no	—
1194	C₂²×C₄	—	4	1	no	—
1195	C₂²×C₄	—	4	1	no	—
1196	C₂²×C₄	—	4	1	no	—
1197	C₂²×C₄	—	4	1	no	—
1198	C₂²×C₄	—	47	1	no	—
1199	C₂²×C₄	—	47	1	no	—
1200	C₂²×C₄	—	47	1	no	—
1201	C₂²×C₄	—	47	1	no	—
1202	C₂²×C₄	—	47	1	no	—
1203	C₂²×C₄	—	47	1	no	—
1204	C₂²×C₄	—	47	4	no	—
1205	C₂²×C₄	—	47	4	no	—
1206	C₂²×C₄	—	47	4	no	—
1207	C₂²×C₄	—	47	4	no	—
1208	C₂²×C₄	—	47	1	no	—
1209	C₂²×C₄	—	47	1	no	—
1210	C₂²×C₄	—	47	1	no	—
1211	C₂²×C₄	—	47	1	no	—
1212	C₂²×C₄	—	47	1	no	—
1213	C₂²×C₄	—	47	1	no	—
1214	C₂²×C₄	—	47	1	no	—
1215	C₂²×C₄	—	94	2	no	—
1216	C₂²×C₄	—	94	2	no	—
1217	C₂²×C₄	—	94	2	no	—
1218	C₂²×C₄	—	188	1	no	—
1219	C₂²×C₄	—	188	1	no	—
1220	C₂²×C₄	—	188	1	no	—
1221	C₂²×C₄	—	188	1	no	—
1222	C₂²×C₄	—	188	1	no	—
1223	C₂²×C₄	—	188	1	no	—
1224	C₂²×C₄	—	188	1	no	—
1225	C₂²×C₄	—	188	1	no	—
1226	C₂²×C₄	—	188	1	no	—
1227	C₂²×C₄	—	188	1	no	—
1228	C₂²×C₄	—	188	1	no	—
1229	C₂²×C₄	—	188	1	no	—
1230	C₂²×C₄	—	188	1	no	—
1231	C₂²×C₄	—	188	1	no	—
1232	C₂²×C₄	—	188	1	no	—
1233	C₂²×C₄	—	188	1	no	—
1234	C₂²×C₄	—	188	1	no	—
1235	C₂²×C₄	—	188	1	no	—
1236	C₂²×C₄	—	188	1	no	—
1237	C₂²×C₄	—	188	1	no	—
1238	C₂²×C₄	—	188	1	no	—
1239	C₂²×C₄	—	188	1	no	—
1240	C₂²×C₄	—	188	1	no	—
1241	C₂²×C₄	—	188	1	no	—
1242	C₂²×C₄	—	188	1	no	—
1243	C₂²×C₄	—	188	1	no	—
1244	C₂²×C₄	C₂×C₄×D₄₇	1	4	yes	—
1245	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1246	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1247	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1248	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1249	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1250	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1251	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1252	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1253	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1254	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1255	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1256	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1257	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1258	C₄⋊C₄	—	2	2	no	—
1259	C₄⋊C₄	—	2	2	no	—
1260	C₄⋊C₄	—	4	1	no	—
1261	C₄⋊C₄	—	4	1	no	—
1262	C₄⋊C₄	—	4	1	no	—
1263	C₄⋊C₄	—	4	1	no	—
1264	C₄⋊C₄	—	4	1	no	—
1265	C₄⋊C₄	—	47	4	no	—
1266	C₄⋊C₄	—	47	4	no	—
1267	C₄⋊C₄	—	47	4	no	—
1268	C₄⋊C₄	—	47	4	no	—
1269	C₄⋊C₄	—	47	4	no	—
1270	C₄⋊C₄	—	47	4	no	—
1271	C₄⋊C₄	—	94	2	no	—
1272	C₄⋊C₄	—	188	1	no	—
1273	C₄⋊C₄	—	188	1	no	—
1274	C₄⋊C₄	—	188	1	no	—
1275	C₄⋊C₄	—	188	1	no	—
1276	C₄⋊C₄	—	188	1	no	—
1277	C₄⋊C₄	—	188	1	no	—
1278	C₄⋊C₄	—	188	1	no	—
1279	C₄⋊C₄	—	188	1	no	—
1280	C₄⋊C₄	—	188	1	no	—
1281	C₄⋊C₄	—	188	1	no	—
1282	C₄⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1283	C₄⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1284	C₂²⋊C₄	—	4	1	no	—
1285	C₂²⋊C₄	—	4	1	no	—
1286	C₂²⋊C₄	—	4	1	no	—
1287	C₂²⋊C₄	—	4	1	no	—
1288	C₂²⋊C₄	—	4	1	no	—
1289	C₂²⋊C₄	—	47	4	no	—
1290	C₂²⋊C₄	—	47	4	no	—
1291	C₂²⋊C₄	—	47	4	no	—
1292	C₂²⋊C₄	—	47	4	no	—
1293	C₂²⋊C₄	—	47	4	no	—
1294	C₂²⋊C₄	—	47	4	no	—
1295	C₂²⋊C₄	—	47	4	no	—
1296	C₂²⋊C₄	—	94	2	no	—
1297	C₂²⋊C₄	—	94	2	no	—
1298	C₂²⋊C₄	—	94	2	no	—
1299	C₂²⋊C₄	—	94	2	no	—
1300	C₂²⋊C₄	—	94	2	no	—
1301	C₂²⋊C₄	—	188	1	no	—
1302	C₂²⋊C₄	—	188	1	no	—
1303	C₂²⋊C₄	—	188	1	no	—
1304	C₂²⋊C₄	—	188	1	no	—
1305	C₂²⋊C₄	—	188	1	no	—
1306	C₂²⋊C₄	—	188	1	no	—
1307	C₂²⋊C₄	—	188	1	no	—
1308	C₂²⋊C₄	—	188	1	no	—
1309	C₂²⋊C₄	—	188	1	no	—
1310	C₂²⋊C₄	—	188	1	no	—
1311	C₂²⋊C₄	—	188	1	no	—
1312	C₂²⋊C₄	—	188	1	no	—
1313	C₂²⋊C₄	—	188	1	no	—
1314	C₂²⋊C₄	—	188	1	no	—
1315	C₂²⋊C₄	—	188	1	no	—
1316	C₂²⋊C₄	—	188	1	no	—
1317	C₂²⋊C₄	—	188	1	no	—
1318	C₂²⋊C₄	—	188	1	no	—
1319	C₂²⋊C₄	—	188	1	no	—
1320	C₂²⋊C₄	—	188	1	no	—
1321	C₂²⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1322	C₂²⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1323	C₂²⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1324	C₄²	—	2	2	no	—
1325	C₄²	—	4	1	no	—
1326	C₄²	—	4	1	no	—
1327	C₄²	—	47	4	no	—
1328	C₄²	—	47	4	no	—
1329	C₄²	—	94	2	no	—
1330	C₄²	—	94	2	no	—
1331	C₄²	—	94	2	no	—
1332	C₄²	—	94	2	no	—
1333	C₄²	—	188	1	no	—
1334	C₄²	—	188	1	no	—
1335	C₄²	—	188	1	no	—
1336	C₄²	—	188	1	no	—
1337	C₄²	—	188	1	no	—
1338	C₄²	—	188	1	no	—
1339	C₄²	—	188	1	no	—
1340	C₄²	—	188	1	no	—
1341	C₄²	—	188	1	no	—
1342	C₄²	—	188	1	no	—
1343	C₄²	—	188	1	no	—
1344	C₂³	—	2	1	no	—
1345	C₂³	—	2	1	no	—
1346	C₂³	—	2	1	no	—
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	47	2	no	—
1357	C₂³	—	47	2	no	—
1358	C₂³	—	47	2	no	—
1359	C₂³	—	94	1	no	—
1360	C₂³	—	94	1	no	—
1361	C₂³	—	94	1	no	—
1362	C₂³	—	94	1	no	—
1363	C₂³	—	94	1	no	—
1364	C₂³	—	94	1	no	—
1365	C₂³	—	94	1	no	—
1366	C₂³	—	94	1	no	—
1367	C₂³	—	94	1	no	—
1368	C₂³	—	94	1	no	—
1369	C₂³	—	94	1	no	—
1370	C₂³	—	94	1	no	—
1371	C₂³	—	94	1	no	—
1372	C₂³	—	94	1	no	—
1373	C₂³	—	94	1	no	—
1374	C₂³	—	94	1	no	—
1375	C₂³	—	94	1	no	—
1376	C₂³	—	94	1	no	—
1377	C₂³	C₂²×C₄×D₄₇	1	2	yes	—
1378	C₂³	C₂²×C₄×D₄₇	1	2	yes	—
1379	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1380	D₄	—	4	4	no	—
1381	D₄	—	188	4	no	—
1382	D₄	—	188	4	no	—
1383	D₄	—	188	4	no	—
1384	D₄	—	188	4	no	—
1385	D₄	—	188	4	no	—
1386	D₄	—	188	4	no	—
1387	D₄	—	188	4	no	—
1388	D₄	—	188	4	no	—
1389	D₄	—	188	4	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	4	4	no	—
1424	C₂×C₄	—	4	4	no	—
1425	C₂×C₄	—	8	2	no	—
1426	C₂×C₄	—	8	2	no	—
1427	C₂×C₄	—	47	2	no	—
1428	C₂×C₄	—	47	2	no	—
1429	C₂×C₄	—	47	2	no	—
1430	C₂×C₄	—	47	2	no	—
1431	C₂×C₄	—	47	2	no	—
1432	C₂×C₄	—	47	2	no	—
1433	C₂×C₄	—	94	1	no	—
1434	C₂×C₄	—	94	1	no	—
1435	C₂×C₄	—	94	1	no	—
1436	C₂×C₄	—	94	1	no	—
1437	C₂×C₄	—	94	1	no	—
1438	C₂×C₄	—	94	1	no	—
1439	C₂×C₄	—	94	1	no	—
1440	C₂×C₄	—	94	1	no	—
1441	C₂×C₄	—	94	1	no	—
1442	C₂×C₄	—	94	1	no	—
1443	C₂×C₄	—	94	1	no	—
1444	C₂×C₄	—	94	1	no	—
1445	C₂×C₄	—	94	1	no	—
1446	C₂×C₄	—	94	1	no	—
1447	C₂×C₄	—	94	1	no	—
1448	C₂×C₄	—	94	1	no	—
1449	C₂×C₄	—	94	1	no	—
1450	C₂×C₄	—	94	1	no	—
1451	C₂×C₄	—	94	1	no	—
1452	C₂×C₄	—	94	1	no	—
1453	C₂×C₄	—	94	1	no	—
1454	C₂×C₄	—	94	1	no	—
1455	C₂×C₄	—	94	1	no	—
1456	C₂×C₄	—	94	1	no	—
1457	C₂×C₄	—	94	1	no	—
1458	C₂×C₄	—	94	1	no	—
1459	C₂×C₄	—	94	1	no	—
1460	C₂×C₄	—	94	1	no	—
1461	C₂×C₄	—	94	1	no	—
1462	C₂×C₄	—	94	1	no	—
1463	C₂×C₄	—	94	1	no	—
1464	C₂×C₄	—	94	1	no	—
1465	C₂×C₄	—	94	1	no	—
1466	C₂×C₄	—	376	2	no	—
1467	C₂×C₄	—	376	2	no	—
1468	C₂×C₄	—	376	2	no	—
1469	C₂×C₄	—	376	2	no	—
1470	C₂×C₄	—	376	2	no	—
1471	C₂×C₄	—	376	2	no	—
1472	C₂×C₄	—	188	4	no	—
1473	C₂×C₄	—	188	4	no	—
1474	C₂×C₄	—	188	4	no	—
1475	C₂×C₄	—	188	4	no	—
1476	C₂×C₄	—	188	4	no	—
1477	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1478	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1479	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1480	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1481	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1482	C₂×C₄	#13094069	1	2	yes	—
1483	C₂²	—	2	2	no	—
1484	C₂²	—	2	2	no	—
1485	C₂²	—	2	2	no	—
1486	C₂²	—	2	2	no	—
1487	C₂²	—	2	2	no	—
1488	C₂²	—	2	2	no	—
1489	C₂²	—	4	1	no	—
1490	C₂²	—	4	1	no	—
1491	C₂²	—	4	1	no	—
1492	C₂²	—	4	1	no	—
1493	C₂²	—	4	1	no	—
1494	C₂²	—	4	1	no	—
1495	C₂²	—	4	1	no	—
1496	C₂²	—	4	1	no	—
1497	C₂²	—	94	2	no	—
1498	C₂²	—	94	2	no	—
1499	C₂²	—	94	2	no	—
1500	C₂²	—	94	2	no	—
1501	C₂²	—	94	2	no	—
1502	C₂²	—	94	2	no	—
1503	C₂²	—	94	2	no	—
1504	C₂²	—	94	2	no	—
1505	C₂²	—	94	2	no	—
1506	C₂²	—	188	1	no	—
1507	C₂²	—	188	1	no	—
1508	C₂²	—	188	1	no	—
1509	C₂²	—	188	1	no	—
1510	C₂²	—	188	1	no	—
1511	C₂²	—	188	1	no	—
1512	C₂²	—	188	1	no	—
1513	C₂²	—	188	1	no	—
1514	C₂²	—	188	1	no	—
1515	C₂²	—	188	1	no	—
1516	C₂²	—	188	1	no	—
1517	C₂²	—	188	1	no	—
1518	C₂²	C₂³×C₄×D₄₇	1	1	yes	characteristic
1519	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1520	C₂²	C₂×#13094069	1	1	yes	characteristic
1521	C₂²	#15689958	1	1	yes	characteristic
1522	C₂²	#15689959	1	1	yes	characteristic
1523	C₂²	#15689960	1	1	yes	characteristic
1524	C₂²	#15689960	1	1	yes	characteristic
1525	C₄	—	2	2	no	—
1526	C₄	—	2	2	no	—
1527	C₄	—	2	2	no	—
1528	C₄	—	2	2	no	—
1529	C₄	—	2	2	no	—
1530	C₄	—	2	2	no	—
1531	C₄	—	4	1	no	—
1532	C₄	—	4	1	no	—
1533	C₄	—	4	1	no	—
1534	C₄	—	4	1	no	—
1535	C₄	—	4	1	no	—
1536	C₄	—	4	1	no	—
1537	C₄	—	4	1	no	—
1538	C₄	—	94	2	no	—
1539	C₄	—	94	2	no	—
1540	C₄	—	94	2	no	—
1541	C₄	—	94	2	no	—
1542	C₄	—	94	2	no	—
1543	C₄	—	94	2	no	—
1544	C₄	—	188	1	no	—
1545	C₄	—	188	1	no	—
1546	C₄	—	188	1	no	—
1547	C₄	—	188	1	no	—
1548	C₄	—	188	1	no	—
1549	C₄	—	188	1	no	—
1550	C₄	—	188	1	no	—
1551	C₂	—	4	2	no	—
1552	C₂	—	4	2	no	—
1553	C₂	—	188	2	no	—
1554	C₂	—	188	2	no	—
1555	C₂	—	188	2	no	—
1556	C₂	#20256588	1	1	yes	characteristic
1557	C₂	C₄×#13094069	1	1	yes	characteristic
1558	C₂	#20256594	1	1	yes	characteristic
1559	C₂	#20257563	1	1	yes	characteristic
1560	C₂	#20257699	1	1	yes	characteristic
1561	C₂	#20257817	1	1	yes	characteristic
1562	C₂	#20258074	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator	C₂²×C₄₇	C₂⁴×C₄
Fitting	C₄₇×#2322	C₂
socle, cosocle	C₂³×C₄₇	C₂⁵
prime radical	C₂×#15689725	C₂
hypercenter	#2322	D₄₇
hypocenter	C₄₇	#34450
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ #2322

Complements

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

N	H ≅ G/N	type
2. #20246570	C₂	semidirect
3. #20246547	C₂	semidirect
4. #20246544	C₂	semidirect
5. #20246533	C₂	semidirect
6. #20246522	C₂	semidirect
7. #20246490	C₂	semidirect
8. #20246439	C₂	semidirect
9. #20246434	C₂	semidirect
10. #20246425	C₂	semidirect
11. #20246404	C₂	semidirect
12. #20246387	C₂	semidirect
13. #20246383	C₂	semidirect
14. #20246325	C₂	semidirect
15. #20246313	C₂	semidirect
16. #20246272	C₂	semidirect
17. #20246243	C₂	semidirect
18. #20246183	C₂	semidirect
19. #20246182	C₂	semidirect
20. #20246154	C₂	semidirect
21. #20246151	C₂	semidirect
22. #20246110	C₂	semidirect
23. #20246109	C₂	semidirect
24. #20246092	C₂	semidirect
25. #20246085	C₂	semidirect
26. #20246080	C₂	semidirect
27. #20246018	C₂	semidirect
28. #20245907	C₂	semidirect
29. C₄×#13093996	C₂	semidirect
30. #20245824	C₂	semidirect
31. C₄₇×#2322	C₂	semidirect
32. #15689725	C₄	semidirect
208. #13094020	C₂×C₄	semidirect
209. #13094014	C₂×C₄	semidirect
210. #13094009	C₂×C₄	semidirect
211. #13094008	C₂×C₄	semidirect
212. #13094006	C₂×C₄	semidirect
213. #13093999	C₂×C₄	semidirect
214. #13093998	C₂×C₄	semidirect
215. #13093997	C₂×C₄	semidirect
216. #13093997	C₂×C₄	semidirect
217. #13093997	C₂×C₄	semidirect
218. #13093996	C₂×C₄	semidirect
225. C₄×C₂²⋊D₄₇	C₂×C₄	semidirect
227. (C₂²⋊D₄₇)⋊C₄	C₂×C₄	semidirect
230. #13093982	C₂×C₄	semidirect
337. #123×C₄₇	C₂×C₄	semidirect
796. #2322	D₄₇	semidirect
969. C₄₇	#34450	semidirect
1000. #123	C₄×D₄₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689725	2
#20246570	2
#20246547	2
#20246544	2
#20246533	2
#20246522	2
#20246490	2
#20246439	2
#20246434	2
#20246425	2
#20246404	2
#20246387	2
#20246383	2
#20246325	2
#20246313	2
#20246272	2
#20246243	2
#20246183	2
#20246182	2
#20246154	2
#20246151	2
#20246110	2
#20246109	2
#20246092	2
#20246085	2
#20246080	2
#20246018	2
#20245907	2
C₄×#13093996	2
#20245824	2
C₄₇×#2322	2
#34450	47