Subgroups — #14920761

Order 2816.

1536 conjugacy classes of subgroups.

The subgroup lattice has 1266 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13074808	C₂	1	1	yes	maximal, characteristic, complemented
2	#13074798	C₂	1	1	yes	maximal, characteristic, complemented
3	#13074784	C₂	1	1	yes	maximal, characteristic
4	#13074776	C₂	1	1	yes	maximal, characteristic
5	#13074716	C₂	1	1	yes	maximal, characteristic, complemented
6	#13074716	C₂	1	1	yes	maximal, characteristic, complemented
7	#13074708	C₂	1	1	yes	maximal, characteristic, complemented
8	#13074702	C₂	1	1	yes	maximal, characteristic, complemented
9	#13074701	C₂	1	1	yes	maximal, characteristic
10	#13074691	C₂	1	1	yes	maximal, characteristic
11	#13074639	C₂	1	1	yes	maximal, characteristic
12	#13074627	C₂	1	1	yes	maximal, characteristic
13	#13074529	C₂	1	1	yes	maximal, characteristic
14	#13074525	C₂	1	1	yes	maximal, characteristic
15	#13074498	C₂	1	1	yes	maximal, characteristic, complemented
16	#13074494	C₂	1	1	yes	maximal, characteristic, complemented
17	#13071923	C₂	1	1	yes	maximal, characteristic, complemented
18	#13071923	C₂	1	1	yes	maximal, characteristic, complemented
19	#13071921	C₂	1	1	yes	maximal, characteristic, complemented
20	#13071916	C₂	1	1	yes	maximal, characteristic
21	#13071910	C₂	1	1	yes	maximal, characteristic, complemented
22	#13071890	C₂	1	1	yes	maximal, characteristic
23	#13071890	C₂	1	1	yes	maximal, characteristic
24	C₄×#66943	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#66942	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#66932	C₂	1	1	yes	maximal, characteristic
27	C₄×#66932	C₂	1	1	yes	maximal, characteristic
28	#13071112	C₂	1	1	yes	maximal, characteristic
29	#13071088	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#66940	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₁×#2401	C₂	1	1	yes	maximal, characteristic
32	C₂×#66979	C₂²	1	1	yes	characteristic
33	C₂×#66943	C₂²	1	1	yes	characteristic
34	C₂×#66942	C₂²	1	1	yes	characteristic
35	C₂×#66940	C₂²	1	1	yes	characteristic
36	C₂×#66940	C₂²	1	1	yes	characteristic
37	C₂×#66932	C₂²	1	1	yes	characteristic
38	C₂×#66932	C₂²	1	1	yes	characteristic
39	C₂×C₄×Dic₂₂	C₂²	1	1	yes	characteristic
40	C₂×C₄×Dic₂₂	C₂²	1	1	yes	characteristic
41	C₁₁×#401	C₂²	1	1	yes	characteristic
42	C₁₁×#400	C₂²	1	1	yes	characteristic
43	C₁₁×#400	C₂²	1	1	yes	characteristic
44	C₁₁×#400	C₂²	1	1	yes	characteristic
45	C₁₁×#397	C₂²	1	1	yes	characteristic
46	C₁₁×#397	C₂²	1	1	yes	characteristic
47	C₁₁×#397	C₂²	1	1	yes	characteristic
48	C₁₁×#396	C₂²	1	1	yes	characteristic
49	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
50	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
51	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
52	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
53	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
54	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
55	C₁₁×#376	C₂²	1	1	yes	characteristic
56	C₄×C₂²⋊Dic₁₁	C₂²	1	1	yes	characteristic
57	C₄×C₂²⋊Dic₁₁	C₂²	1	1	yes	characteristic
58	C₄×C₂²⋊Dic₁₁	C₂²	1	1	yes	characteristic
59	#10622598	C₂²	1	1	yes	characteristic
60	#10622597	C₂²	1	1	yes	characteristic
61	#10622597	C₂²	1	1	yes	characteristic
62	#10622597	C₂²	1	1	yes	characteristic
63	#10622597	C₂²	1	1	yes	characteristic
64	#10622596	C₂²	1	1	yes	characteristic
65	#10622596	C₂²	1	1	yes	characteristic
66	#10622595	C₂²	1	1	yes	characteristic
67	#10622595	C₂²	1	1	yes	characteristic
68	#10622594	C₂²	1	1	yes	characteristic
69	#10622593	C₂²	1	1	yes	characteristic
70	#10622593	C₂²	1	1	yes	characteristic
71	#10622592	C₂²	1	1	yes	characteristic
72	#10622592	C₂²	1	1	yes	characteristic
73	#10622591	C₂²	1	1	yes	characteristic
74	#10622590	C₂²	1	1	yes	characteristic
75	C₄⋊C₄×Dic₁₁	C₂²	1	1	yes	characteristic
76	C₄⋊C₄×Dic₁₁	C₂²	1	1	yes	characteristic
77	#10622586	C₂²	1	1	yes	characteristic
78	#10622585	C₂²	1	1	yes	characteristic
79	#10622566	C₂²	1	1	yes	characteristic
80	#10622565	C₂²	1	1	yes	characteristic
81	#10622565	C₂²	1	1	yes	characteristic
82	#10622564	C₂²	1	1	yes	characteristic
83	#10622564	C₂²	1	1	yes	characteristic
84	#10622562	C₂²	1	1	yes	characteristic
85	#10622562	C₂²	1	1	yes	characteristic
86	#10622561	C₂²	1	1	yes	characteristic
87	#10622561	C₂²	1	1	yes	characteristic
88	#10622561	C₂²	1	1	yes	characteristic
89	#10622561	C₂²	1	1	yes	characteristic
90	#10622561	C₂²	1	1	yes	characteristic
91	#10622560	C₂²	1	1	yes	characteristic
92	#10622560	C₂²	1	1	yes	characteristic
93	#10622558	C₂²	1	1	yes	characteristic
94	#10622558	C₂²	1	1	yes	characteristic
95	#10622558	C₂²	1	1	yes	characteristic
96	#10622558	C₂²	1	1	yes	characteristic
97	#10622557	C₂²	1	1	yes	characteristic
98	#10622557	C₂²	1	1	yes	characteristic
99	#10622557	C₂²	1	1	yes	characteristic
100	#10622557	C₂²	1	1	yes	characteristic
101	C₄×C₄⋊Dic₁₁	C₂²	1	1	yes	characteristic
102	C₄×C₄⋊Dic₁₁	C₂²	1	1	yes	characteristic
103	C₄×C₄⋊Dic₁₁	C₂²	1	1	yes	characteristic
104	C₄×C₄⋊Dic₁₁	C₂²	1	1	yes	characteristic
105	C₄×C₄⋊Dic₁₁	C₂²	1	1	yes	characteristic
106	#10622545	C₂²	1	1	yes	characteristic
107	#10622545	C₂²	1	1	yes	characteristic
108	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
109	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
110	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
111	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
112	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
113	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
114	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
116	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
118	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
119	C₄×Dic₁₁⋊C₄	C₂²	1	1	yes	characteristic
120	C₄²×Dic₁₁	C₂²	1	1	yes	characteristic
121	C₄²×Dic₁₁	C₂²	1	1	yes	characteristic
122	C₄²×Dic₁₁	C₂²	1	1	yes	characteristic
123	C₁₁⋊#401	C₂²	1	1	yes	characteristic
124	#10622274	C₂²	1	1	yes	characteristic
125	#10622274	C₂²	1	1	yes	characteristic
126	#10622273	C₂²	1	1	yes	characteristic
127	#10622273	C₂²	1	1	yes	characteristic
128	#10622273	C₂²	1	1	yes	characteristic
129	#10622273	C₂²	1	1	yes	characteristic
130	#10622273	C₂²	1	1	yes	characteristic
131	#10622273	C₂²	1	1	yes	characteristic
132	#10622273	C₂²	1	1	yes	characteristic
133	#10622272	C₂²	1	1	yes	characteristic
134	#10622272	C₂²	1	1	yes	characteristic
135	#10622272	C₂²	1	1	yes	characteristic
136	#10622271	C₂²	1	1	yes	characteristic
137	#10622271	C₂²	1	1	yes	characteristic
138	#10622271	C₂²	1	1	yes	characteristic
139	#10622271	C₂²	1	1	yes	characteristic
140	#10622271	C₂²	1	1	yes	characteristic
141	#10622270	C₂²	1	1	yes	characteristic
142	#10622270	C₂²	1	1	yes	characteristic
143	#10622270	C₂²	1	1	yes	characteristic
144	#10622270	C₂²	1	1	yes	characteristic
145	#10622270	C₂²	1	1	yes	characteristic
146	#10622270	C₂²	1	1	yes	characteristic
147	#10622270	C₂²	1	1	yes	characteristic
148	#10622270	C₂²	1	1	yes	characteristic
149	#10622270	C₂²	1	1	yes	characteristic
150	#10622270	C₂²	1	1	yes	characteristic
151	#10622269	C₂²	1	1	yes	characteristic
152	#10622269	C₂²	1	1	yes	characteristic
153	#10622269	C₂²	1	1	yes	characteristic
154	#10622269	C₂²	1	1	yes	characteristic
155	#10622268	C₂²	1	1	yes	characteristic
156	#10622268	C₂²	1	1	yes	characteristic
157	#10622268	C₂²	1	1	yes	characteristic
158	#10622268	C₂²	1	1	yes	characteristic
159	#10622268	C₂²	1	1	yes	characteristic
160	#10622268	C₂²	1	1	yes	characteristic
161	#10622267	C₂²	1	1	yes	characteristic
162	#10622267	C₂²	1	1	yes	characteristic
163	#10622267	C₂²	1	1	yes	characteristic
164	#10622267	C₂²	1	1	yes	characteristic
165	#10622267	C₂²	1	1	yes	characteristic
166	#10622267	C₂²	1	1	yes	characteristic
167	#10622266	C₂²	1	1	yes	characteristic
168	#10622266	C₂²	1	1	yes	characteristic
169	#10622266	C₂²	1	1	yes	characteristic
170	#10622266	C₂²	1	1	yes	characteristic
171	#10622266	C₂²	1	1	yes	characteristic
172	#10622265	C₂²	1	1	yes	characteristic
173	#10622265	C₂²	1	1	yes	characteristic
174	#10622265	C₂²	1	1	yes	characteristic
175	#10622264	C₂²	1	1	yes	characteristic
176	#10622264	C₂²	1	1	yes	characteristic
177	#10622263	C₂²	1	1	yes	characteristic
178	#10622262	C₂²	1	1	yes	characteristic
179	#10622262	C₂²	1	1	yes	characteristic
180	#10622262	C₂²	1	1	yes	characteristic
181	#10622262	C₂²	1	1	yes	characteristic
182	#10622260	C₂²	1	1	yes	characteristic
183	#10622260	C₂²	1	1	yes	characteristic
184	#10622260	C₂²	1	1	yes	characteristic
185	#10622259	C₂²	1	1	yes	characteristic
186	#10622259	C₂²	1	1	yes	characteristic
187	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
188	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
189	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
190	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
191	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
192	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
193	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
203	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
204	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
205	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊Dic₁₁	C₂³	1	1	yes	characteristic
216	#66979	—	2	4	no	—
217	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
231	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₁₁⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₁₁	C₂³	1	1	yes	characteristic
279	#66943	—	2	4	no	—
280	#66942	—	2	4	no	—
281	#66940	—	2	4	no	—
282	#66940	—	2	4	no	—
283	#66932	—	2	4	no	—
284	#66932	—	2	4	no	—
285	C₄×Dic₂₂	—	2	4	no	—
286	C₄×Dic₂₂	—	2	4	no	—
287	C₁₁×#95	C₂³	1	1	yes	characteristic
288	C₁₁×#95	C₂³	1	1	yes	characteristic
289	C₁₁×#95	C₂³	1	1	yes	characteristic
290	C₁₁×#95	C₂³	1	1	yes	characteristic
291	C₁₁×#95	C₂³	1	1	yes	characteristic
292	C₁₁×#95	C₂³	1	1	yes	characteristic
293	C₁₁×#95	C₂³	1	1	yes	characteristic
294	C₁₁×#95	C₂³	1	1	yes	characteristic
295	C₁₁×#95	C₂³	1	1	yes	characteristic
296	C₁₁×#95	C₂³	1	1	yes	characteristic
297	C₁₁×#95	C₂³	1	1	yes	characteristic
298	C₁₁×#95	C₂³	1	1	yes	characteristic
299	C₁₁×#95	C₂³	1	1	yes	characteristic
300	C₁₁×#95	C₂³	1	1	yes	characteristic
301	C₁₁×#95	C₂³	1	1	yes	characteristic
302	C₁₁×#95	C₂³	1	1	yes	characteristic
303	C₁₁⋊#95	C₂³	1	1	yes	characteristic
304	C₁₁⋊#95	C₂³	1	1	yes	characteristic
305	C₁₁⋊#95	C₂³	1	1	yes	characteristic
306	C₁₁⋊#95	C₂³	1	1	yes	characteristic
307	C₁₁⋊#95	C₂³	1	1	yes	characteristic
308	C₁₁⋊#95	C₂³	1	1	yes	characteristic
309	C₁₁⋊#95	C₂³	1	1	yes	characteristic
310	C₁₁⋊#95	C₂³	1	1	yes	characteristic
311	C₁₁⋊#95	C₂³	1	1	yes	characteristic
312	C₁₁⋊#95	C₂³	1	1	yes	characteristic
313	C₁₁⋊#95	C₂³	1	1	yes	characteristic
314	C₁₁⋊#95	C₂³	1	1	yes	characteristic
315	C₁₁⋊#95	C₂³	1	1	yes	characteristic
316	C₁₁⋊#95	C₂³	1	1	yes	characteristic
317	C₁₁⋊#95	C₂³	1	1	yes	characteristic
318	C₁₁⋊#95	C₂³	1	1	yes	characteristic
319	C₁₁⋊#95	C₂³	1	1	yes	characteristic
320	C₁₁⋊#95	C₂³	1	1	yes	characteristic
321	C₁₁⋊#95	C₂³	1	1	yes	characteristic
322	C₁₁⋊#95	C₂³	1	1	yes	characteristic
323	C₁₁⋊#95	C₂³	1	1	yes	characteristic
324	C₁₁⋊#95	C₂³	1	1	yes	characteristic
325	C₁₁⋊#95	C₂³	1	1	yes	characteristic
326	C₁₁⋊#95	C₂³	1	1	yes	characteristic
327	C₁₁⋊#95	C₂³	1	1	yes	characteristic
328	C₁₁⋊#95	C₂³	1	1	yes	characteristic
329	C₁₁⋊#95	C₂³	1	1	yes	characteristic
330	C₁₁⋊#95	C₂³	1	1	yes	characteristic
331	C₁₁⋊#95	C₂³	1	1	yes	characteristic
332	C₁₁⋊#95	C₂³	1	1	yes	characteristic
333	C₁₁⋊#95	C₂³	1	1	yes	characteristic
334	C₁₁⋊#95	C₂³	1	1	yes	characteristic
335	C₁₁⋊#95	C₂³	1	1	yes	characteristic
336	C₁₁⋊#95	C₂³	1	1	yes	characteristic
337	C₁₁⋊#95	C₂³	1	1	yes	characteristic
338	C₁₁⋊#95	C₂³	1	1	yes	characteristic
339	C₁₁⋊#95	C₂³	1	1	yes	characteristic
340	C₁₁⋊#95	C₂³	1	1	yes	characteristic
341	C₁₁⋊#95	C₂³	1	1	yes	characteristic
342	C₁₁⋊#95	C₂³	1	1	yes	characteristic
343	C₁₁⋊#95	C₂³	1	1	yes	characteristic
344	C₁₁⋊#95	C₂³	1	1	yes	characteristic
345	C₁₁⋊#95	C₂³	1	1	yes	characteristic
346	C₁₁⋊#95	C₂³	1	1	yes	characteristic
347	C₁₁⋊#95	C₂³	1	1	yes	characteristic
348	C₁₁⋊#95	C₂³	1	1	yes	characteristic
349	C₁₁⋊#95	C₂³	1	1	yes	characteristic
350	C₁₁⋊#95	C₂³	1	1	yes	characteristic
351	#34604	—	11	1	no	maximal, Sylow
352	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₁₁	—	2	2	no	—
354	C₂²×C₄×C₁₁	—	2	2	no	—
355	C₂²×C₄×C₁₁	—	2	2	no	—
356	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
357	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
370	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
371	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
372	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
373	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
374	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₁₁	C₂⁴	1	1	yes	characteristic
386	C₂×Dic₂₂	—	2	2	no	—
387	C₂×Dic₂₂	—	2	2	no	—
388	C₂×Dic₂₂	—	2	2	no	—
389	C₂×Dic₂₂	—	2	2	no	—
390	C₂×Dic₂₂	—	4	1	no	—
391	C₂×Dic₂₂	—	4	1	no	—
392	C₁₁×C₄⋊C₄	—	2	2	no	—
393	C₁₁×C₄⋊C₄	—	2	2	no	—
394	C₁₁×C₄⋊C₄	—	2	2	no	—
395	C₁₁×C₄⋊C₄	—	2	2	no	—
396	C₁₁×C₄⋊C₄	—	4	1	no	—
397	C₁₁×C₄⋊C₄	—	4	1	no	—
398	C₁₁×C₂²⋊C₄	—	2	2	no	—
399	C₁₁×C₂²⋊C₄	—	2	2	no	—
400	C₁₁×C₂²⋊C₄	—	4	1	no	—
401	C₁₁×C₂²⋊C₄	—	4	1	no	—
402	C₁₁×C₂²⋊C₄	—	4	1	no	—
403	C₁₁×C₂²⋊C₄	—	4	1	no	—
404	C₄²×C₁₁	—	2	2	no	—
405	C₄²×C₁₁	—	2	2	no	—
406	C₄²×C₁₁	—	2	2	no	—
407	C₄²×C₁₁	—	2	2	no	—
408	C₄²×C₁₁	—	2	2	no	—
409	C₄²×C₁₁	—	2	2	no	—
410	C₂²⋊Dic₁₁	—	2	2	no	—
411	C₂²⋊Dic₁₁	—	2	2	no	—
412	C₂²⋊Dic₁₁	—	2	2	no	—
413	C₂²⋊Dic₁₁	—	2	2	no	—
414	C₂²⋊Dic₁₁	—	2	2	no	—
415	C₂²⋊Dic₁₁	—	2	2	no	—
416	C₂²⋊Dic₁₁	—	4	1	no	—
417	C₂²⋊Dic₁₁	—	4	1	no	—
418	C₄⋊Dic₁₁	—	2	2	no	—
419	C₄⋊Dic₁₁	—	2	2	no	—
420	C₄⋊Dic₁₁	—	2	2	no	—
421	C₄⋊Dic₁₁	—	2	2	no	—
422	C₄⋊Dic₁₁	—	2	2	no	—
423	C₄⋊Dic₁₁	—	2	2	no	—
424	C₄⋊Dic₁₁	—	2	2	no	—
425	C₄⋊Dic₁₁	—	2	2	no	—
426	C₄⋊Dic₁₁	—	2	2	no	—
427	C₄⋊Dic₁₁	—	2	2	no	—
428	C₄⋊Dic₁₁	—	4	1	no	—
429	C₄⋊Dic₁₁	—	4	1	no	—
430	C₄⋊Dic₁₁	—	4	1	no	—
431	C₄⋊Dic₁₁	—	4	1	no	—
432	Dic₁₁⋊C₄	—	2	2	no	—
433	Dic₁₁⋊C₄	—	2	2	no	—
434	Dic₁₁⋊C₄	—	2	2	no	—
435	Dic₁₁⋊C₄	—	2	2	no	—
436	Dic₁₁⋊C₄	—	2	2	no	—
437	Dic₁₁⋊C₄	—	2	2	no	—
438	Dic₁₁⋊C₄	—	2	2	no	—
439	Dic₁₁⋊C₄	—	2	2	no	—
440	Dic₁₁⋊C₄	—	2	2	no	—
441	Dic₁₁⋊C₄	—	2	2	no	—
442	Dic₁₁⋊C₄	—	2	2	no	—
443	Dic₁₁⋊C₄	—	2	2	no	—
444	Dic₁₁⋊C₄	—	2	2	no	—
445	Dic₁₁⋊C₄	—	2	2	no	—
446	Dic₁₁⋊C₄	—	2	2	no	—
447	Dic₁₁⋊C₄	—	2	2	no	—
448	Dic₁₁⋊C₄	—	2	2	no	—
449	Dic₁₁⋊C₄	—	2	2	no	—
450	Dic₁₁⋊C₄	—	4	1	no	—
451	Dic₁₁⋊C₄	—	4	1	no	—
452	Dic₁₁⋊C₄	—	4	1	no	—
453	Dic₁₁⋊C₄	—	4	1	no	—
454	Dic₁₁⋊C₄	—	4	1	no	—
455	Dic₁₁⋊C₄	—	4	1	no	—
456	Dic₁₁⋊C₄	—	4	1	no	—
457	Dic₁₁⋊C₄	—	4	1	no	—
458	Dic₁₁⋊C₄	—	4	1	no	—
459	Dic₁₁⋊C₄	—	4	1	no	—
460	C₄×Dic₁₁	—	2	2	no	—
461	C₄×Dic₁₁	—	2	2	no	—
462	C₄×Dic₁₁	—	2	2	no	—
463	C₄×Dic₁₁	—	2	2	no	—
464	C₄×Dic₁₁	—	2	2	no	—
465	C₄×Dic₁₁	—	2	2	no	—
466	C₄×Dic₁₁	—	2	2	no	—
467	C₄×Dic₁₁	—	2	2	no	—
468	C₄×Dic₁₁	—	2	2	no	—
469	C₄×Dic₁₁	—	2	2	no	—
470	C₄×Dic₁₁	—	2	2	no	—
471	C₄×Dic₁₁	—	4	1	no	—
472	C₄×Dic₁₁	—	4	1	no	—
473	C₄×Dic₁₁	—	4	1	no	—
474	C₄×Dic₁₁	—	4	1	no	—
475	C₄×Dic₁₁	—	4	1	no	—
476	C₄×Dic₁₁	—	4	1	no	—
477	C₄×Dic₁₁	#41	1	4	yes	—
478	C₄×Dic₁₁	#41	1	4	yes	—
479	C₄×Dic₁₁	#41	1	4	yes	—
480	#2666	—	11	1	no	—
481	#2666	—	11	1	no	—
482	#2664	—	11	1	no	—
483	#2664	—	11	1	no	—
484	#2655	—	11	1	no	—
485	#2655	—	11	1	no	—
486	#2655	—	11	1	no	—
487	#2655	—	11	1	no	—
488	#2654	—	11	1	no	—
489	#2654	—	11	1	no	—
490	#2650	—	11	1	no	—
491	#2650	—	11	1	no	—
492	#2637	—	11	1	no	—
493	#2637	—	11	1	no	—
494	#2634	—	11	1	no	—
495	#2634	—	11	1	no	—
496	#2402	—	11	1	no	—
497	#2402	—	11	1	no	—
498	#2402	—	11	1	no	—
499	#2401	—	11	1	no	—
500	#2401	D₁₁	1	1	yes	characteristic
501	#2399	—	11	1	no	—
502	#2396	—	11	1	no	—
503	#2396	—	11	1	no	—
504	C₄×#125	—	11	1	no	—
505	C₄×#125	—	11	1	no	—
506	C₄×#126	—	11	1	no	—
507	C₄×#126	—	11	1	no	—
508	#2298	—	11	1	no	—
509	#2295	—	11	1	no	—
510	C₄²×Q₈	—	11	1	no	—
511	C₂³×C₁₁	—	2	1	no	—
512	C₂³×C₁₁	—	2	1	no	—
513	C₂³×C₁₁	—	2	1	no	—
514	C₂³×C₁₁	—	2	1	no	—
515	C₂³×C₁₁	—	2	1	no	—
516	C₂³×C₁₁	—	2	1	no	—
517	C₂³×C₁₁	—	2	1	no	—
518	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
519	C₂×C₄×C₁₁	—	2	1	no	—
520	C₂×C₄×C₁₁	—	2	1	no	—
521	C₂×C₄×C₁₁	—	2	1	no	—
522	C₂×C₄×C₁₁	—	2	1	no	—
523	C₂×C₄×C₁₁	—	2	1	no	—
524	C₂×C₄×C₁₁	—	2	1	no	—
525	C₂×C₄×C₁₁	—	2	1	no	—
526	C₂×C₄×C₁₁	—	2	1	no	—
527	C₂×C₄×C₁₁	—	2	1	no	—
528	C₂×C₄×C₁₁	—	2	1	no	—
529	C₂×C₄×C₁₁	—	2	1	no	—
530	C₂×C₄×C₁₁	—	2	1	no	—
531	C₂×C₄×C₁₁	—	2	1	no	—
532	C₂×C₄×C₁₁	—	2	1	no	—
533	C₂×C₄×C₁₁	—	2	1	no	—
534	C₂×C₄×C₁₁	—	2	1	no	—
535	C₂×C₄×C₁₁	—	2	1	no	—
536	C₂×C₄×C₁₁	—	2	1	no	—
537	C₂×C₄×C₁₁	—	2	1	no	—
538	C₂×C₄×C₁₁	—	2	1	no	—
539	C₂×C₄×C₁₁	—	2	1	no	—
540	C₂×C₄×C₁₁	—	2	1	no	—
541	C₂×C₄×C₁₁	—	2	1	no	—
542	C₂×C₄×C₁₁	—	2	1	no	—
543	C₂×C₄×C₁₁	—	2	1	no	—
544	C₂×C₄×C₁₁	—	2	1	no	—
545	C₂×C₄×C₁₁	—	2	1	no	—
546	C₂×C₄×C₁₁	—	2	1	no	—
547	C₂×C₄×C₁₁	—	2	1	no	—
548	C₂×C₄×C₁₁	—	2	1	no	—
549	C₂×C₄×C₁₁	—	2	1	no	—
550	C₂×C₄×C₁₁	—	2	1	no	—
551	C₂×C₄×C₁₁	—	2	1	no	—
552	C₂×C₄×C₁₁	—	2	1	no	—
553	C₂×C₄×C₁₁	—	2	1	no	—
554	C₂×C₄×C₁₁	—	2	1	no	—
555	C₂×C₄×C₁₁	—	2	1	no	—
556	C₂×C₄×C₁₁	—	4	4	no	—
557	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
558	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
559	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
560	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
561	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
562	C₂×Dic₁₁	—	2	1	no	—
563	C₂×Dic₁₁	—	2	1	no	—
564	C₂×Dic₁₁	—	2	1	no	—
565	C₂×Dic₁₁	—	2	1	no	—
566	C₂×Dic₁₁	—	2	1	no	—
567	C₂×Dic₁₁	—	2	1	no	—
568	C₂×Dic₁₁	—	2	1	no	—
569	C₂×Dic₁₁	—	2	1	no	—
570	C₂×Dic₁₁	—	2	1	no	—
571	C₂×Dic₁₁	—	2	1	no	—
572	C₂×Dic₁₁	—	2	1	no	—
573	C₂×Dic₁₁	—	2	1	no	—
574	C₂×Dic₁₁	—	2	1	no	—
575	C₂×Dic₁₁	—	2	1	no	—
576	C₂×Dic₁₁	—	2	1	no	—
577	C₂×Dic₁₁	—	2	1	no	—
578	C₂×Dic₁₁	—	2	1	no	—
579	C₂×Dic₁₁	—	2	1	no	—
580	C₂×Dic₁₁	—	2	1	no	—
581	C₂×Dic₁₁	—	2	1	no	—
582	C₂×Dic₁₁	—	2	1	no	—
583	C₂×Dic₁₁	—	2	1	no	—
584	C₂×Dic₁₁	—	2	1	no	—
585	C₂×Dic₁₁	—	2	1	no	—
586	C₂×Dic₁₁	—	2	1	no	—
587	C₂×Dic₁₁	—	2	1	no	—
588	C₂×Dic₁₁	—	2	1	no	—
589	C₂×Dic₁₁	—	2	1	no	—
590	C₂×Dic₁₁	—	2	1	no	—
591	C₂×Dic₁₁	—	2	1	no	—
592	C₂×Dic₁₁	—	2	1	no	—
593	C₂×Dic₁₁	—	2	1	no	—
594	C₂×Dic₁₁	—	2	1	no	—
595	C₂×Dic₁₁	—	2	1	no	—
596	C₂×Dic₁₁	—	2	1	no	—
597	C₂×Dic₁₁	—	2	1	no	—
598	C₂×Dic₁₁	—	2	1	no	—
599	C₂×Dic₁₁	—	2	1	no	—
600	C₂×Dic₁₁	—	2	1	no	—
601	C₂×Dic₁₁	—	2	1	no	—
602	C₂×Dic₁₁	—	2	1	no	—
603	C₂×Dic₁₁	—	2	1	no	—
604	C₂×Dic₁₁	C₂×#41	1	2	yes	—
605	C₂×Dic₁₁	C₂×#41	1	2	yes	—
606	C₂×Dic₁₁	C₂×#41	1	2	yes	—
607	C₂×Dic₁₁	C₂×#41	1	2	yes	—
608	C₂×Dic₁₁	C₂×#41	1	2	yes	—
609	C₂×Dic₁₁	C₂×#41	1	2	yes	—
610	Dic₂₂	—	2	8	no	—
611	Dic₂₂	—	4	4	no	—
612	C₂×#126	—	11	1	no	—
613	C₂×#126	—	11	1	no	—
614	C₂×#125	—	11	1	no	—
615	C₂×#125	—	11	1	no	—
616	C₂×C₄×Q₈	—	11	1	no	—
617	C₂×C₄×Q₈	—	11	1	no	—
618	C₂×C₄×Q₈	—	11	1	no	—
619	C₂×C₄×Q₈	—	11	1	no	—
620	C₂×#117	—	11	1	no	—
621	#401	—	11	1	no	—
622	#401	C₂×D₁₁	1	1	yes	characteristic
623	#400	—	11	1	no	—
624	#400	—	11	1	no	—
625	#400	—	11	1	no	—
626	#400	—	11	1	no	—
627	#400	—	11	1	no	—
628	#400	—	11	1	no	—
629	#400	—	11	1	no	—
630	#400	—	11	1	no	—
631	#400	—	11	1	no	—
632	#400	—	11	1	no	—
633	#400	—	11	1	no	—
634	#400	—	11	1	no	—
635	#400	—	11	1	no	—
636	#400	—	11	1	no	—
637	#400	—	11	1	no	—
638	#400	—	11	1	no	—
639	#400	—	11	1	no	—
640	#400	C₂×D₁₁	1	1	yes	characteristic
641	#400	C₂×D₁₁	1	1	yes	characteristic
642	#400	C₂×D₁₁	1	1	yes	characteristic
643	#399	—	11	1	no	—
644	#399	—	11	1	no	—
645	#398	—	11	1	no	—
646	#398	—	11	1	no	—
647	#398	—	11	1	no	—
648	#398	—	11	1	no	—
649	#398	—	11	1	no	—
650	#398	—	11	1	no	—
651	#398	—	11	1	no	—
652	#398	—	11	1	no	—
653	#398	—	11	1	no	—
654	#398	—	11	1	no	—
655	#398	—	11	1	no	—
656	#398	—	11	1	no	—
657	#398	—	11	1	no	—
658	#398	—	11	1	no	—
659	#398	—	11	1	no	—
660	#398	—	11	1	no	—
661	#398	—	11	1	no	—
662	#398	—	11	1	no	—
663	#398	—	11	1	no	—
664	#398	—	11	1	no	—
665	#397	—	11	1	no	—
666	#397	—	11	1	no	—
667	#397	—	11	1	no	—
668	#397	C₂×D₁₁	1	1	yes	characteristic
669	#397	C₂×D₁₁	1	1	yes	characteristic
670	#397	C₂×D₁₁	1	1	yes	characteristic
671	#396	—	11	1	no	—
672	#396	—	11	1	no	—
673	#396	—	11	1	no	—
674	#396	—	11	1	no	—
675	#396	—	11	1	no	—
676	#396	C₂×D₁₁	1	1	yes	characteristic
677	#395	—	11	1	no	—
678	#395	—	11	1	no	—
679	#395	—	11	1	no	—
680	#395	—	11	1	no	—
681	#395	—	11	1	no	—
682	#395	—	11	1	no	—
683	#393	—	11	1	no	—
684	#393	—	11	1	no	—
685	#391	—	11	1	no	—
686	#391	—	11	1	no	—
687	#389	—	11	1	no	—
688	#389	—	11	1	no	—
689	#389	—	11	1	no	—
690	#389	—	11	1	no	—
691	#389	—	11	1	no	—
692	#389	—	11	1	no	—
693	#388	—	11	1	no	—
694	#388	—	11	1	no	—
695	#388	—	11	1	no	—
696	#388	—	11	1	no	—
697	#388	—	11	1	no	—
698	#388	—	11	1	no	—
699	#388	—	11	1	no	—
700	#388	—	11	1	no	—
701	#388	—	11	1	no	—
702	#388	—	11	1	no	—
703	#387	—	11	1	no	—
704	#387	—	11	1	no	—
705	#387	—	11	1	no	—
706	#387	—	11	1	no	—
707	#387	—	11	1	no	—
708	#387	—	11	1	no	—
709	#387	—	11	1	no	—
710	#387	—	11	1	no	—
711	#387	—	11	1	no	—
712	#387	—	11	1	no	—
713	#387	—	11	1	no	—
714	#387	—	11	1	no	—
715	#387	—	11	1	no	—
716	#387	—	11	1	no	—
717	#387	—	11	1	no	—
718	#387	—	11	1	no	—
719	#387	—	11	1	no	—
720	#387	—	11	1	no	—
721	#387	—	11	1	no	—
722	#387	—	11	1	no	—
723	#387	—	11	1	no	—
724	#387	—	11	1	no	—
725	#383	—	11	1	no	—
726	#383	—	11	1	no	—
727	#382	—	11	1	no	—
728	#382	—	11	1	no	—
729	C₄×C₄⋊C₄	—	11	1	no	—
730	C₄×C₄⋊C₄	—	11	1	no	—
731	C₄×C₄⋊C₄	—	11	1	no	—
732	C₄×C₄⋊C₄	—	11	1	no	—
733	C₄×C₄⋊C₄	—	11	1	no	—
734	C₄×C₄⋊C₄	—	11	1	no	—
735	C₄×C₄⋊C₄	—	11	1	no	—
736	C₄×C₄⋊C₄	—	11	1	no	—
737	C₄×C₄⋊C₄	—	11	1	no	—
738	C₄×C₄⋊C₄	—	11	1	no	—
739	C₄×C₄⋊C₄	—	11	1	no	—
740	C₄×C₄⋊C₄	—	11	1	no	—
741	C₄×C₄⋊C₄	—	11	1	no	—
742	C₄×C₄⋊C₄	—	11	1	no	—
743	C₄×C₄⋊C₄	—	11	1	no	—
744	C₄×C₄⋊C₄	—	11	1	no	—
745	C₄×C₄⋊C₄	—	11	1	no	—
746	C₄×C₄⋊C₄	—	11	1	no	—
747	C₄×C₄⋊C₄	—	11	1	no	—
748	C₄×C₄⋊C₄	—	11	1	no	—
749	C₄×C₄⋊C₄	—	11	1	no	—
750	C₄×C₄⋊C₄	—	11	1	no	—
751	C₄×C₄⋊C₄	—	11	1	no	—
752	C₄×C₄⋊C₄	C₂×D₁₁	1	1	yes	characteristic
753	C₄×C₄⋊C₄	C₂×D₁₁	1	1	yes	characteristic
754	C₄×C₄⋊C₄	C₂×D₁₁	1	1	yes	characteristic
755	C₄×C₂²⋊C₄	—	11	1	no	—
756	C₄×C₂²⋊C₄	—	11	1	no	—
757	C₄×C₂²⋊C₄	—	11	1	no	—
758	C₄×C₂²⋊C₄	C₂×D₁₁	1	1	yes	characteristic
759	C₄×C₂²⋊C₄	C₂×D₁₁	1	1	yes	characteristic
760	C₄×C₂²⋊C₄	C₂×D₁₁	1	1	yes	characteristic
761	#376	—	11	1	no	—
762	#376	—	11	1	no	—
763	#376	C₂×D₁₁	1	1	yes	characteristic
764	C₄³	—	11	1	no	—
765	C₄³	—	11	1	no	—
766	C₄³	—	11	1	no	—
767	C₂²×C₁₁	—	4	1	no	—
768	C₂²×C₁₁	—	4	1	no	—
769	C₂²×C₁₁	—	4	1	no	—
770	C₂²×C₁₁	—	4	1	no	—
771	C₂²×C₁₁	—	4	1	no	—
772	C₂²×C₁₁	—	4	1	no	—
773	C₂²×C₁₁	—	4	1	no	—
774	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
775	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
776	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
777	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
778	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
779	C₂²×C₁₁	#585	1	1	yes	characteristic
780	C₂²×C₁₁	#585	1	1	yes	characteristic
781	C₄×C₁₁	—	2	2	no	—
782	C₄×C₁₁	—	2	2	no	—
783	C₄×C₁₁	—	4	1	no	—
784	C₄×C₁₁	—	4	1	no	—
785	C₄×C₁₁	—	4	1	no	—
786	C₄×C₁₁	—	4	1	no	—
787	C₄×C₁₁	—	4	1	no	—
788	C₄×C₁₁	—	4	1	no	—
789	C₄×C₁₁	—	4	1	no	—
790	C₄×C₁₁	—	4	1	no	—
791	C₄×C₁₁	—	4	1	no	—
792	C₄×C₁₁	—	4	1	no	—
793	C₄×C₁₁	—	4	1	no	—
794	C₄×C₁₁	#541	1	4	yes	—
795	Dic₁₁	—	2	2	no	—
796	Dic₁₁	—	2	2	no	—
797	Dic₁₁	—	2	2	no	—
798	Dic₁₁	—	2	2	no	—
799	Dic₁₁	—	2	2	no	—
800	Dic₁₁	—	2	2	no	—
801	Dic₁₁	—	4	1	no	—
802	Dic₁₁	—	4	1	no	—
803	Dic₁₁	—	4	1	no	—
804	Dic₁₁	—	4	1	no	—
805	Dic₁₁	—	4	1	no	—
806	Dic₁₁	—	4	1	no	—
807	Dic₁₁	—	4	1	no	—
808	Dic₁₁	—	4	1	no	—
809	Dic₁₁	—	4	1	no	—
810	Dic₁₁	—	4	1	no	—
811	C₂²×Q₈	—	11	1	no	—
812	C₂²×Q₈	—	11	1	no	—
813	C₂³×C₄	C₂²×D₁₁	1	1	yes	characteristic
814	#126	—	22	4	no	—
815	#126	—	22	4	no	—
816	#125	—	22	4	no	—
817	#125	—	22	4	no	—
818	C₄×Q₈	—	22	4	no	—
819	C₄×Q₈	—	22	4	no	—
820	C₄×Q₈	—	22	4	no	—
821	C₄×Q₈	—	22	4	no	—
822	#117	—	22	4	no	—
823	C₂×C₄⋊C₄	—	11	1	no	—
824	C₂×C₄⋊C₄	—	11	1	no	—
825	C₂×C₄⋊C₄	—	11	1	no	—
826	C₂×C₄⋊C₄	—	11	1	no	—
827	C₂×C₄⋊C₄	—	11	1	no	—
828	C₂×C₄⋊C₄	—	11	1	no	—
829	C₂×C₄⋊C₄	—	11	1	no	—
830	C₂×C₄⋊C₄	—	11	1	no	—
831	C₂×C₄⋊C₄	—	11	1	no	—
832	C₂×C₄⋊C₄	—	11	1	no	—
833	C₂×C₄⋊C₄	—	11	1	no	—
834	C₂×C₄⋊C₄	—	11	1	no	—
835	C₂×C₄⋊C₄	—	11	1	no	—
836	C₂×C₄⋊C₄	—	11	1	no	—
837	C₂×C₄⋊C₄	—	11	1	no	—
838	C₂×C₄⋊C₄	—	11	1	no	—
839	C₂×C₄⋊C₄	—	11	1	no	—
840	C₂×C₄⋊C₄	—	11	1	no	—
841	C₂×C₄⋊C₄	—	11	1	no	—
842	C₂×C₄⋊C₄	—	11	1	no	—
843	C₂×C₄⋊C₄	—	11	1	no	—
844	C₂×C₄⋊C₄	—	11	1	no	—
845	C₂×C₄⋊C₄	—	11	1	no	—
846	C₂×C₄⋊C₄	—	11	1	no	—
847	C₂×C₄⋊C₄	—	11	1	no	—
848	C₂×C₄⋊C₄	—	11	1	no	—
849	C₂×C₄⋊C₄	—	11	1	no	—
850	C₂×C₄⋊C₄	—	11	1	no	—
851	C₂×C₄⋊C₄	—	11	1	no	—
852	C₂×C₄⋊C₄	—	11	1	no	—
853	C₂×C₄⋊C₄	—	11	1	no	—
854	C₂×C₄⋊C₄	—	11	1	no	—
855	C₂×C₄⋊C₄	—	11	1	no	—
856	C₂×C₄⋊C₄	—	11	1	no	—
857	C₂×C₄⋊C₄	—	11	1	no	—
858	C₂×C₄⋊C₄	—	11	1	no	—
859	C₂×C₄⋊C₄	—	11	1	no	—
860	C₂×C₄⋊C₄	—	11	1	no	—
861	C₂×C₄⋊C₄	—	11	1	no	—
862	C₂×C₄⋊C₄	—	11	1	no	—
863	C₂×C₄⋊C₄	—	11	1	no	—
864	C₂×C₄⋊C₄	—	11	1	no	—
865	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
866	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
867	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
868	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
869	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
870	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
871	C₂×C₂²⋊C₄	—	11	1	no	—
872	C₂×C₂²⋊C₄	—	11	1	no	—
873	C₂×C₂²⋊C₄	—	11	1	no	—
874	C₂×C₂²⋊C₄	—	11	1	no	—
875	C₂×C₂²⋊C₄	—	11	1	no	—
876	C₂×C₂²⋊C₄	—	11	1	no	—
877	C₂×C₂²⋊C₄	—	11	1	no	—
878	C₂×C₂²⋊C₄	—	11	1	no	—
879	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
880	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
881	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
882	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
883	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
884	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
885	C₂×C₄²	—	11	1	no	—
886	C₂×C₄²	—	11	1	no	—
887	C₂×C₄²	—	11	1	no	—
888	C₂×C₄²	—	11	1	no	—
889	C₂×C₄²	—	11	1	no	—
890	C₂×C₄²	—	11	1	no	—
891	C₂×C₄²	—	11	1	no	—
892	C₂×C₄²	—	11	1	no	—
893	C₂×C₄²	—	11	1	no	—
894	C₂×C₄²	—	11	1	no	—
895	C₂×C₄²	—	11	1	no	—
896	C₂×C₄²	—	11	1	no	—
897	C₂×C₄²	—	11	1	no	—
898	C₂×C₄²	—	11	1	no	—
899	C₂×C₄²	—	11	1	no	—
900	C₂×C₄²	—	11	1	no	—
901	C₂×C₄²	—	11	1	no	—
902	C₂×C₄²	—	11	1	no	—
903	C₂×C₄²	—	11	1	no	—
904	C₂×C₄²	—	11	1	no	—
905	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
906	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
907	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
908	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
909	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
910	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
911	#95	—	11	1	no	—
912	#95	—	11	1	no	—
913	#95	—	11	1	no	—
914	#95	—	11	1	no	—
915	#95	—	11	1	no	—
916	#95	—	11	1	no	—
917	#95	—	11	1	no	—
918	#95	—	11	1	no	—
919	#95	—	11	1	no	—
920	#95	—	11	1	no	—
921	#95	—	11	1	no	—
922	#95	—	11	1	no	—
923	#95	—	11	1	no	—
924	#95	—	11	1	no	—
925	#95	—	11	1	no	—
926	#95	—	11	1	no	—
927	#95	—	11	1	no	—
928	#95	—	11	1	no	—
929	#95	—	11	1	no	—
930	#95	—	11	1	no	—
931	#95	—	11	1	no	—
932	#95	—	11	1	no	—
933	#95	—	11	1	no	—
934	#95	—	11	1	no	—
935	#95	—	11	1	no	—
936	#95	—	11	1	no	—
937	#95	—	11	1	no	—
938	#95	—	11	1	no	—
939	#95	—	11	1	no	—
940	#95	—	11	1	no	—
941	#95	—	11	1	no	—
942	#95	—	11	1	no	—
943	#95	—	11	1	no	—
944	#95	—	11	1	no	—
945	#95	—	11	1	no	—
946	#95	—	11	1	no	—
947	#95	—	11	1	no	—
948	#95	—	11	1	no	—
949	#95	—	11	1	no	—
950	#95	—	11	1	no	—
951	#95	—	11	1	no	—
952	#95	—	11	1	no	—
953	#95	—	11	1	no	—
954	#95	—	11	1	no	—
955	#95	—	11	1	no	—
956	#95	—	11	1	no	—
957	#95	—	11	1	no	—
958	#95	—	11	1	no	—
959	#95	C₂²×D₁₁	1	1	yes	characteristic
960	#95	C₂²×D₁₁	1	1	yes	characteristic
961	#95	C₂²×D₁₁	1	1	yes	characteristic
962	#95	C₂²×D₁₁	1	1	yes	characteristic
963	#95	C₂²×D₁₁	1	1	yes	characteristic
964	#95	C₂²×D₁₁	1	1	yes	characteristic
965	#95	C₂²×D₁₁	1	1	yes	characteristic
966	#95	C₂²×D₁₁	1	1	yes	characteristic
967	#95	C₂²×D₁₁	1	1	yes	characteristic
968	#95	C₂²×D₁₁	1	1	yes	characteristic
969	#95	C₂²×D₁₁	1	1	yes	characteristic
970	#95	C₂²×D₁₁	1	1	yes	characteristic
971	#95	C₂²×D₁₁	1	1	yes	characteristic
972	#95	C₂²×D₁₁	1	1	yes	characteristic
973	#95	C₂²×D₁₁	1	1	yes	characteristic
974	#95	C₂²×D₁₁	1	1	yes	characteristic
975	C₂×C₁₁	—	8	1	no	—
976	C₂×C₁₁	#3444	1	1	yes	characteristic
977	C₂×C₁₁	C₂×#541	1	1	yes	characteristic
978	C₂×C₁₁	#3455	1	1	yes	characteristic
979	C₂×C₁₁	#3461	1	1	yes	characteristic
980	C₂×C₁₁	#3461	1	1	yes	characteristic
981	C₂×C₁₁	#3461	1	1	yes	characteristic
982	C₂×C₁₁	#3461	1	1	yes	characteristic
983	C₂⁴	C₂³×D₁₁	1	1	yes	characteristic
984	C₂×Q₈	—	22	2	no	—
985	C₂×Q₈	—	22	2	no	—
986	C₂×Q₈	—	22	2	no	—
987	C₂×Q₈	—	22	2	no	—
988	C₂×Q₈	—	44	1	no	—
989	C₂×Q₈	—	44	1	no	—
990	C₂²×C₄	—	2	2	no	—
991	C₂²×C₄	—	2	2	no	—
992	C₂²×C₄	—	2	2	no	—
993	C₂²×C₄	—	11	1	no	—
994	C₂²×C₄	—	11	1	no	—
995	C₂²×C₄	—	11	1	no	—
996	C₂²×C₄	—	11	1	no	—
997	C₂²×C₄	—	11	1	no	—
998	C₂²×C₄	—	11	1	no	—
999	C₂²×C₄	—	11	1	no	—
1000	C₂²×C₄	—	11	1	no	—
1001	C₂²×C₄	—	11	1	no	—
1002	C₂²×C₄	—	11	1	no	—
1003	C₂²×C₄	—	11	1	no	—
1004	C₂²×C₄	—	11	1	no	—
1005	C₂²×C₄	—	11	1	no	—
1006	C₂²×C₄	—	11	1	no	—
1007	C₂²×C₄	—	11	1	no	—
1008	C₂²×C₄	—	11	1	no	—
1009	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1010	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1011	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1012	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1013	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1014	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1015	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1016	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1017	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1018	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1019	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1020	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1021	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1022	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1023	C₄⋊C₄	—	2	2	no	—
1024	C₄⋊C₄	—	2	2	no	—
1025	C₄⋊C₄	—	2	2	no	—
1026	C₄⋊C₄	—	2	2	no	—
1027	C₄⋊C₄	—	4	1	no	—
1028	C₄⋊C₄	—	4	1	no	—
1029	C₄⋊C₄	—	22	2	no	—
1030	C₄⋊C₄	—	22	2	no	—
1031	C₄⋊C₄	—	22	2	no	—
1032	C₄⋊C₄	—	22	2	no	—
1033	C₄⋊C₄	—	22	2	no	—
1034	C₄⋊C₄	—	22	2	no	—
1035	C₄⋊C₄	—	22	2	no	—
1036	C₄⋊C₄	—	22	2	no	—
1037	C₄⋊C₄	—	22	2	no	—
1038	C₄⋊C₄	—	22	2	no	—
1039	C₄⋊C₄	—	22	2	no	—
1040	C₄⋊C₄	—	22	2	no	—
1041	C₄⋊C₄	—	22	2	no	—
1042	C₄⋊C₄	—	22	2	no	—
1043	C₄⋊C₄	—	22	2	no	—
1044	C₄⋊C₄	—	22	2	no	—
1045	C₄⋊C₄	—	22	2	no	—
1046	C₄⋊C₄	—	22	2	no	—
1047	C₄⋊C₄	—	22	2	no	—
1048	C₄⋊C₄	—	22	2	no	—
1049	C₄⋊C₄	—	22	2	no	—
1050	C₄⋊C₄	—	22	2	no	—
1051	C₄⋊C₄	—	22	2	no	—
1052	C₄⋊C₄	—	22	2	no	—
1053	C₄⋊C₄	—	22	2	no	—
1054	C₄⋊C₄	—	22	2	no	—
1055	C₄⋊C₄	—	22	2	no	—
1056	C₄⋊C₄	—	22	2	no	—
1057	C₄⋊C₄	—	44	1	no	—
1058	C₄⋊C₄	—	44	1	no	—
1059	C₄⋊C₄	—	44	1	no	—
1060	C₄⋊C₄	—	44	1	no	—
1061	C₄⋊C₄	—	44	1	no	—
1062	C₄⋊C₄	—	44	1	no	—
1063	C₄⋊C₄	—	44	1	no	—
1064	C₄⋊C₄	—	44	1	no	—
1065	C₄⋊C₄	—	44	1	no	—
1066	C₄⋊C₄	—	44	1	no	—
1067	C₄⋊C₄	—	44	1	no	—
1068	C₄⋊C₄	—	44	1	no	—
1069	C₄⋊C₄	—	44	1	no	—
1070	C₄⋊C₄	—	44	1	no	—
1071	C₂²⋊C₄	—	2	2	no	—
1072	C₂²⋊C₄	—	2	2	no	—
1073	C₂²⋊C₄	—	4	1	no	—
1074	C₂²⋊C₄	—	4	1	no	—
1075	C₂²⋊C₄	—	4	1	no	—
1076	C₂²⋊C₄	—	4	1	no	—
1077	C₂²⋊C₄	—	22	2	no	—
1078	C₂²⋊C₄	—	22	2	no	—
1079	C₂²⋊C₄	—	22	2	no	—
1080	C₂²⋊C₄	—	22	2	no	—
1081	C₂²⋊C₄	—	22	2	no	—
1082	C₂²⋊C₄	—	22	2	no	—
1083	C₂²⋊C₄	—	44	1	no	—
1084	C₂²⋊C₄	—	44	1	no	—
1085	C₄²	—	2	2	no	—
1086	C₄²	—	2	2	no	—
1087	C₄²	—	2	2	no	—
1088	C₄²	—	2	2	no	—
1089	C₄²	—	2	2	no	—
1090	C₄²	—	2	2	no	—
1091	C₄²	—	11	4	no	—
1092	C₄²	—	11	4	no	—
1093	C₄²	—	11	4	no	—
1094	C₄²	—	22	2	no	—
1095	C₄²	—	22	2	no	—
1096	C₄²	—	22	2	no	—
1097	C₄²	—	22	2	no	—
1098	C₄²	—	22	2	no	—
1099	C₄²	—	22	2	no	—
1100	C₄²	—	22	2	no	—
1101	C₄²	—	22	2	no	—
1102	C₄²	—	22	2	no	—
1103	C₄²	—	22	2	no	—
1104	C₄²	—	22	2	no	—
1105	C₄²	—	44	1	no	—
1106	C₄²	—	44	1	no	—
1107	C₄²	—	44	1	no	—
1108	C₄²	—	44	1	no	—
1109	C₄²	—	44	1	no	—
1110	C₄²	—	44	1	no	—
1111	C₁₁	#34604	1	1	yes	characteristic, complemented, Sylow
1112	C₂³	—	2	1	no	—
1113	C₂³	—	2	1	no	—
1114	C₂³	—	2	1	no	—
1115	C₂³	—	2	1	no	—
1116	C₂³	—	2	1	no	—
1117	C₂³	—	2	1	no	—
1118	C₂³	—	2	1	no	—
1119	C₂³	C₂⁴×D₁₁	1	1	yes	characteristic
1120	Q₈	—	22	8	no	—
1121	Q₈	—	44	4	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	4	4	no	—
1160	C₂×C₄	—	11	2	no	—
1161	C₂×C₄	—	11	2	no	—
1162	C₂×C₄	—	11	2	no	—
1163	C₂×C₄	—	11	2	no	—
1164	C₂×C₄	—	11	2	no	—
1165	C₂×C₄	—	11	2	no	—
1166	C₂×C₄	—	22	1	no	—
1167	C₂×C₄	—	22	1	no	—
1168	C₂×C₄	—	22	1	no	—
1169	C₂×C₄	—	22	1	no	—
1170	C₂×C₄	—	22	1	no	—
1171	C₂×C₄	—	22	1	no	—
1172	C₂×C₄	—	22	1	no	—
1173	C₂×C₄	—	22	1	no	—
1174	C₂×C₄	—	22	1	no	—
1175	C₂×C₄	—	22	1	no	—
1176	C₂×C₄	—	22	1	no	—
1177	C₂×C₄	—	22	1	no	—
1178	C₂×C₄	—	22	1	no	—
1179	C₂×C₄	—	22	1	no	—
1180	C₂×C₄	—	22	1	no	—
1181	C₂×C₄	—	22	1	no	—
1182	C₂×C₄	—	22	1	no	—
1183	C₂×C₄	—	22	1	no	—
1184	C₂×C₄	—	22	1	no	—
1185	C₂×C₄	—	22	1	no	—
1186	C₂×C₄	—	22	1	no	—
1187	C₂×C₄	—	22	1	no	—
1188	C₂×C₄	—	22	1	no	—
1189	C₂×C₄	—	22	1	no	—
1190	C₂×C₄	—	22	1	no	—
1191	C₂×C₄	—	22	1	no	—
1192	C₂×C₄	—	22	1	no	—
1193	C₂×C₄	—	22	1	no	—
1194	C₂×C₄	—	22	1	no	—
1195	C₂×C₄	—	22	1	no	—
1196	C₂×C₄	—	22	1	no	—
1197	C₂×C₄	—	22	1	no	—
1198	C₂×C₄	—	22	1	no	—
1199	C₂×C₄	—	22	1	no	—
1200	C₂×C₄	—	22	1	no	—
1201	C₂×C₄	—	22	1	no	—
1202	C₂×C₄	—	22	1	no	—
1203	C₂×C₄	—	22	1	no	—
1204	C₂×C₄	—	22	1	no	—
1205	C₂×C₄	—	22	1	no	—
1206	C₂×C₄	—	22	1	no	—
1207	C₂×C₄	—	22	1	no	—
1208	C₂×C₄	#41×D₁₁	1	2	yes	—
1209	C₂×C₄	#41×D₁₁	1	2	yes	—
1210	C₂×C₄	#41×D₁₁	1	2	yes	—
1211	C₂×C₄	#67043	1	2	yes	—
1212	C₂×C₄	#67043	1	2	yes	—
1213	C₂²	—	4	1	no	—
1214	C₂²	—	4	1	no	—
1215	C₂²	—	4	1	no	—
1216	C₂²	—	4	1	no	—
1217	C₂²	—	4	1	no	—
1218	C₂²	—	4	1	no	—
1219	C₂²	—	4	1	no	—
1220	C₂²	C₂×#41×D₁₁	1	1	yes	characteristic
1221	C₂²	C₂×#41×D₁₁	1	1	yes	characteristic
1222	C₂²	C₂×#41×D₁₁	1	1	yes	characteristic
1223	C₂²	C₂×#67043	1	1	yes	characteristic
1224	C₂²	C₂×#67043	1	1	yes	characteristic
1225	C₂²	#10623453	1	1	yes	characteristic
1226	C₂²	#10623453	1	1	yes	characteristic
1227	C₄	—	2	2	no	—
1228	C₄	—	2	2	no	—
1229	C₄	—	4	1	no	—
1230	C₄	—	4	1	no	—
1231	C₄	—	4	1	no	—
1232	C₄	—	4	1	no	—
1233	C₄	—	4	1	no	—
1234	C₄	—	4	1	no	—
1235	C₄	—	4	1	no	—
1236	C₄	—	4	1	no	—
1237	C₄	—	4	1	no	—
1238	C₄	—	4	1	no	—
1239	C₄	—	4	1	no	—
1240	C₄	—	22	2	no	—
1241	C₄	—	22	2	no	—
1242	C₄	—	22	2	no	—
1243	C₄	—	22	2	no	—
1244	C₄	—	22	2	no	—
1245	C₄	—	22	2	no	—
1246	C₄	—	44	1	no	—
1247	C₄	—	44	1	no	—
1248	C₄	—	44	1	no	—
1249	C₄	—	44	1	no	—
1250	C₄	—	44	1	no	—
1251	C₄	—	44	1	no	—
1252	C₄	—	44	1	no	—
1253	C₄	—	44	1	no	—
1254	C₄	—	44	1	no	—
1255	C₄	—	44	1	no	—
1256	C₄	#10623232	1	4	yes	—
1257	C₂	—	8	1	no	—
1258	C₂	#13081910	1	1	yes	characteristic
1259	C₂	C₂×#10623232	1	1	yes	characteristic
1260	C₂	#13081999	1	1	yes	characteristic
1261	C₂	#13082041	1	1	yes	characteristic
1262	C₂	#13082041	1	1	yes	characteristic
1263	C₂	#13082041	1	1	yes	characteristic
1264	C₂	#13082045	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₁₁
commutator, socle, cosocle	C₂³×C₁₁	C₂⁵
Frattini	C₂³	C₂⁴×D₁₁
Fitting	C₁₁×#2401	C₂
prime radical	C₂⁴×C₁₁	C₂⁴
hypercenter	#2401	D₁₁
hypocenter	C₁₁	#34604
LCS	G ▷ C₂³×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂²×C₄ ◁ #2401

Complements

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

N	H ≅ G/N	type
1. #13074808	C₂	semidirect
2. #13074798	C₂	semidirect
5. #13074716	C₂	semidirect
6. #13074716	C₂	semidirect
7. #13074708	C₂	semidirect
8. #13074702	C₂	semidirect
15. #13074498	C₂	semidirect
16. #13074494	C₂	semidirect
17. #13071923	C₂	semidirect
18. #13071923	C₂	semidirect
19. #13071921	C₂	semidirect
21. #13071910	C₂	semidirect
24. C₄×#66943	C₂	semidirect
25. C₄×#66942	C₂	semidirect
29. #13071088	C₂	semidirect
30. C₄×#66940	C₂	semidirect
1111. C₁₁	#34604	semidirect

Maximal subgroups

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

subgroup	index
#13074808	2
#13074798	2
#13074784	2
#13074776	2
#13074716	2
#13074708	2
#13074702	2
#13074701	2
#13074691	2
#13074639	2
#13074627	2
#13074529	2
#13074525	2
#13074498	2
#13074494	2
#13071923	2
#13071921	2
#13071916	2
#13071910	2
#13071890	2
C₄×#66943	2
C₄×#66942	2
C₄×#66932	2
#13071112	2
#13071088	2
C₄×#66940	2
C₁₁×#2401	2
#34604	11