Subgroups — C₁₁×#61243 #14638436

Order 2816.

1848 conjugacy classes of subgroups.

The subgroup lattice has 978 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3475	C₂	1	2	yes	maximal, complemented
2	C₁₁×#3350	C₂	1	2	yes	maximal, complemented
3	C₁₁×#3349	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3348	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3347	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3346	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3345	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3344	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3343	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3162	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#3091	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3091	C₂	1	2	yes	maximal, complemented
13	C₁₁×#3076	C₂	1	2	yes	maximal, complemented
14	C₁₁×#3054	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#3050	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2943	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₁₁×#435	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₁×#2911	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₁₁×#427	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₁×#135	C₂²	1	1	yes	characteristic
21	C₂²×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
22	C₂³×C₈×C₁₁	C₂²	1	1	yes	characteristic
23	C₁₁×#556	C₂²	1	2	yes	—
24	C₁₁×#555	C₂²	1	2	yes	—
25	C₁₁×#554	C₂²	1	2	yes	—
26	C₁₁×#553	C₂²	1	2	yes	—
27	C₁₁×#553	C₂²	1	2	yes	—
28	C₁₁×#552	—	2	2	no	—
29	C₁₁×#552	C₂²	1	2	yes	—
30	C₁₁×#552	C₂²	1	2	yes	—
31	C₁₁×#551	—	2	2	no	—
32	C₁₁×#551	—	2	2	no	—
33	C₁₁×#547	C₂²	1	2	yes	—
34	C₁₁×#546	—	2	2	no	—
35	C₁₁×#533	C₂²	1	2	yes	—
36	C₁₁×#529	—	2	2	no	—
37	C₁₁×#529	—	2	2	no	—
38	C₁₁×#529	—	2	2	no	—
39	C₁₁×#525	C₂²	1	2	yes	—
40	C₁₁×#525	C₂²	1	2	yes	—
41	C₄×C₁₁×#41	—	2	2	no	—
42	C₄×C₁₁×#41	C₂²	1	2	yes	—
43	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
44	C₂×C₁₁×#117	C₂²	1	2	yes	—
45	C₂×C₁₁×#117	C₂²	1	2	yes	—
46	C₁₁×#501	C₂²	1	2	yes	complemented
47	C₁₁×#501	C₂²	1	2	yes	complemented
48	C₁₁×#501	C₂²	1	2	yes	complemented
49	C₁₁×#501	C₂²	1	2	yes	complemented
50	C₁₁×#485	C₂²	1	2	yes	complemented
51	C₁₁×#485	C₂²	1	2	yes	complemented
52	C₁₁×#485	C₂²	1	2	yes	complemented
53	C₁₁×#485	C₂²	1	2	yes	complemented
54	C₁₁×#484	C₂²	1	2	yes	complemented
55	C₁₁×#484	C₂²	1	2	yes	complemented
56	C₁₁×#483	C₂²	1	2	yes	complemented
57	C₁₁×#483	C₂²	1	2	yes	complemented
58	C₁₁×#482	C₂²	1	2	yes	complemented
59	C₁₁×#482	C₂²	1	2	yes	complemented
60	C₁₁×#482	C₂²	1	2	yes	complemented
61	C₁₁×#482	C₂²	1	2	yes	complemented
62	C₁₁×#481	C₂²	1	2	yes	complemented
63	C₁₁×#481	C₂²	1	2	yes	complemented
64	C₁₁×#480	C₂²	1	2	yes	complemented
65	C₁₁×#480	C₂²	1	2	yes	complemented
66	C₁₁×#479	C₂²	1	2	yes	complemented
67	C₁₁×#479	C₂²	1	2	yes	complemented
68	C₁₁×#478	C₂²	1	2	yes	complemented
69	C₁₁×#478	C₂²	1	2	yes	complemented
70	C₁₁×#477	C₂²	1	2	yes	complemented
71	C₁₁×#476	C₂²	1	2	yes	complemented
72	C₁₁×#475	C₂²	1	2	yes	complemented
73	C₁₁×#474	C₂²	1	2	yes	complemented
74	C₁₁×#470	C₂²	1	2	yes	complemented
75	C₁₁×#469	C₂²	1	2	yes	complemented
76	C₁₁×#468	C₂²	1	2	yes	complemented
77	C₁₁×#468	C₂²	1	2	yes	complemented
78	C₁₁×#467	C₂²	1	1	yes	characteristic, complemented
79	C₁₁×#467	C₂²	1	1	yes	characteristic, complemented
80	C₁₁×#466	C₂²	1	1	yes	characteristic, complemented
81	C₁₁×#466	C₂²	1	1	yes	characteristic, complemented
82	C₁₁×#465	C₂²	1	2	yes	complemented
83	C₁₁×#465	C₂²	1	2	yes	complemented
84	C₁₁×#442	C₂²	1	2	yes	complemented
85	C₁₁×#441	C₂²	1	2	yes	complemented
86	C₁₁×#440	C₂²	1	2	yes	complemented
87	C₁₁×#440	C₂²	1	2	yes	complemented
88	C₁₁×#435	C₂²	1	2	yes	—
89	C₁₁×#435	C₂²	1	2	yes	—
90	C₁₁×#435	C₂²	1	2	yes	—
91	C₁₁×#435	C₂²	1	2	yes	—
92	C₁₁×#428	C₂²	1	2	yes	complemented
93	C₁₁×#428	C₂²	1	2	yes	complemented
94	C₁₁×#428	C₂²	1	2	yes	complemented
95	C₁₁×#428	C₂²	1	2	yes	complemented
96	C₁₁×#427	C₂²	1	1	yes	characteristic
97	C₁₁×#427	C₂²	1	1	yes	characteristic
98	C₁₁×#427	C₂²	1	2	yes	—
99	C₁₁×#427	C₂²	1	1	yes	characteristic
100	C₁₁×#427	C₂²	1	2	yes	—
101	C₁₁×#427	C₂²	1	2	yes	—
102	C₁₁×#427	C₂²	1	2	yes	complemented
103	C₁₁×#427	C₂²	1	1	yes	characteristic, complemented
104	C₁₁×#427	C₂²	1	1	yes	characteristic, complemented
105	C₂×C₁₁×#107	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₁₁×#107	C₂²	1	1	yes	characteristic, complemented
107	C₂×C₁₁×#106	C₂²	1	2	yes	complemented
108	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
109	C₁₁×#416	C₂²	1	2	yes	—
110	C₁₁×#416	C₂²	1	2	yes	—
111	C₁₁×#416	C₂²	1	2	yes	—
112	C₂×C₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
113	C₂×C₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
114	C₂×C₁₁×#97	C₂²	1	1	yes	characteristic
115	C₂×C₁₁×#41	—	2	2	no	—
116	C₂×C₁₁×#41	C₂³	1	2	yes	—
117	C₂²×D₄×C₁₁	D₄	1	1	yes	characteristic
118	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
119	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
120	C₁₁×#135	—	2	4	no	—
121	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
122	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
123	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
124	C₂×C₁₁×M₁₆	—	2	4	no	—
125	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
126	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
127	C₂²×C₈×C₁₁	—	2	4	no	—
128	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
129	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
130	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
131	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
132	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
133	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
134	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
135	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
136	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
137	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
138	C₁₁×#126	—	2	2	no	—
139	C₁₁×#126	—	2	2	no	—
140	C₁₁×#126	—	2	2	no	—
141	C₁₁×#126	—	2	2	no	—
142	C₁₁×#126	—	2	2	no	—
143	C₁₁×#126	—	2	2	no	—
144	C₁₁×#125	—	2	2	no	—
145	C₁₁×#125	—	2	2	no	—
146	C₁₁×#125	—	2	2	no	—
147	C₁₁×#125	C₂³	1	2	yes	—
148	C₁₁×#125	C₂³	1	2	yes	—
149	C₁₁×#124	—	2	2	no	—
150	C₁₁×#124	—	2	2	no	—
151	C₁₁×#124	—	2	2	no	—
152	C₁₁×#123	—	2	2	no	—
153	C₁₁×#123	—	2	2	no	—
154	C₁₁×#123	—	2	2	no	—
155	C₁₁×#123	—	2	2	no	—
156	C₁₁×#123	—	2	2	no	—
157	C₁₁×#123	—	2	2	no	—
158	C₁₁×#123	—	2	2	no	—
159	C₁₁×#123	—	2	2	no	—
160	C₁₁×C₂²⋊Q₈	—	2	2	no	—
161	C₁₁×C₂²⋊Q₈	—	2	2	no	—
162	C₁₁×C₂²⋊Q₈	—	2	2	no	—
163	C₁₁×C₂²⋊Q₈	—	2	2	no	—
164	C₁₁×C₂²⋊Q₈	—	2	2	no	—
165	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
166	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
167	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
168	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
169	C₁₁×#121	—	2	2	no	—
170	C₁₁×#121	—	2	2	no	—
171	C₁₁×#121	—	2	2	no	—
172	C₁₁×#121	C₂³	1	2	yes	—
173	C₁₁×#121	C₂³	1	2	yes	—
174	C₁₁×#121	C₂³	1	2	yes	—
175	C₁₁×#121	C₂³	1	2	yes	—
176	C₁₁×#120	—	2	2	no	—
177	C₁₁×#120	—	2	2	no	—
178	C₄×Q₈×C₁₁	—	2	2	no	—
179	C₄×Q₈×C₁₁	—	2	2	no	—
180	C₄×Q₈×C₁₁	—	2	2	no	—
181	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
182	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
183	C₄×D₄×C₁₁	—	2	2	no	—
184	C₄×D₄×C₁₁	—	2	2	no	—
185	C₄×D₄×C₁₁	—	2	2	no	—
186	C₄×D₄×C₁₁	—	2	2	no	—
187	C₄×D₄×C₁₁	—	2	2	no	—
188	C₄×D₄×C₁₁	—	2	2	no	—
189	C₄×D₄×C₁₁	—	2	2	no	—
190	C₄×D₄×C₁₁	—	2	2	no	—
191	C₄×D₄×C₁₁	—	2	2	no	—
192	C₄×D₄×C₁₁	D₄	1	2	yes	—
193	C₄×D₄×C₁₁	D₄	1	2	yes	—
194	C₄×D₄×C₁₁	C₂³	1	2	yes	—
195	C₄×D₄×C₁₁	C₂³	1	2	yes	—
196	C₄×D₄×C₁₁	C₂³	1	2	yes	—
197	C₄×D₄×C₁₁	C₂³	1	2	yes	—
198	C₁₁×#117	—	2	2	no	—
199	C₁₁×#117	—	2	2	no	—
200	C₁₁×#117	—	2	2	no	—
201	C₁₁×#117	—	2	2	no	—
202	C₁₁×#117	—	2	2	no	—
203	C₁₁×#117	—	2	2	no	—
204	C₁₁×#117	—	2	2	no	—
205	C₁₁×#117	—	2	2	no	—
206	C₁₁×#117	C₂³	1	2	yes	—
207	C₁₁×#117	C₂³	1	2	yes	—
208	C₁₁×#117	C₂³	1	2	yes	—
209	C₁₁×#117	C₂³	1	2	yes	—
210	C₁₁×#117	C₂³	1	2	yes	—
211	C₁₁×#117	C₂³	1	2	yes	—
212	C₁₁×#117	C₂³	1	2	yes	—
213	C₂×C₁₁×C₄⋊C₄	D₄	1	1	yes	characteristic
214	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
215	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
216	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
217	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
218	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
219	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
220	C₂×C₁₁×C₂²⋊C₄	D₄	1	1	yes	characteristic
221	C₂×C₁₁×C₂²⋊C₄	D₄	1	1	yes	characteristic
222	C₂×C₄²×C₁₁	—	2	2	no	—
223	C₂×C₄²×C₁₁	—	2	2	no	—
224	C₂×C₄²×C₁₁	—	2	2	no	—
225	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
226	C₁₁×#107	C₂³	1	1	yes	characteristic
227	C₁₁×#107	C₂³	1	1	yes	characteristic
228	C₁₁×#107	C₂³	1	1	yes	characteristic
229	C₁₁×#107	C₂³	1	1	yes	characteristic
230	C₁₁×#107	C₂³	1	2	yes	—
231	C₁₁×#107	C₂³	1	2	yes	—
232	C₁₁×#107	C₂³	1	1	yes	characteristic
233	C₁₁×#107	C₂³	1	1	yes	characteristic
234	C₁₁×#107	C₂³	1	2	yes	—
235	C₁₁×#107	C₂³	1	2	yes	—
236	C₁₁×#107	C₂³	1	2	yes	—
237	C₁₁×#107	C₂³	1	2	yes	—
238	C₁₁×#106	C₂³	1	2	yes	—
239	C₁₁×#106	C₂³	1	2	yes	—
240	C₁₁×#106	C₂³	1	2	yes	—
241	C₁₁×#106	C₂³	1	2	yes	—
242	C₁₁×#106	C₂³	1	2	yes	—
243	C₁₁×#106	C₂³	1	2	yes	—
244	C₁₁×#106	C₂³	1	2	yes	—
245	C₁₁×#106	C₂³	1	2	yes	—
246	C₁₁×#106	C₂³	1	2	yes	—
247	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
248	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
249	C₁₁×#103	C₂³	1	2	yes	—
250	C₁₁×#103	C₂³	1	2	yes	—
251	C₁₁×#103	C₂³	1	2	yes	—
252	C₁₁×#103	C₂³	1	2	yes	—
253	C₁₁×#103	C₂³	1	2	yes	—
254	C₁₁×#103	C₂³	1	2	yes	—
255	C₁₁×#102	C₂³	1	2	yes	—
256	C₁₁×#102	C₂³	1	2	yes	—
257	C₁₁×#102	C₂³	1	2	yes	—
258	C₁₁×#102	C₂³	1	2	yes	—
259	C₁₁×#102	C₂³	1	2	yes	—
260	C₁₁×#102	C₂³	1	2	yes	—
261	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
262	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
263	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
264	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
265	C₁₁×#97	C₂³	1	2	yes	—
266	C₁₁×#97	C₂³	1	2	yes	—
267	#61243	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
268	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
269	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
270	C₁₁×#41	—	2	4	no	—
271	C₁₁×#41	—	2	4	no	—
272	C₁₁×#41	—	4	8	no	—
273	C₂×Q₈×C₁₁	—	2	2	no	—
274	C₂×Q₈×C₁₁	—	2	2	no	—
275	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
276	C₂×D₄×C₁₁	—	2	2	no	—
277	C₂×D₄×C₁₁	—	2	2	no	—
278	C₂×D₄×C₁₁	—	2	2	no	—
279	C₂×D₄×C₁₁	—	2	2	no	—
280	C₂×D₄×C₁₁	—	2	2	no	—
281	C₂×D₄×C₁₁	—	4	2	no	—
282	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
283	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
284	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
285	C₂²×C₄×C₁₁	—	2	2	no	—
286	C₂²×C₄×C₁₁	—	2	2	no	—
287	C₂²×C₄×C₁₁	—	2	2	no	—
288	C₂²×C₄×C₁₁	—	2	2	no	—
289	C₂²×C₄×C₁₁	—	2	2	no	—
290	C₂²×C₄×C₁₁	—	2	2	no	—
291	C₂²×C₄×C₁₁	—	2	2	no	—
292	C₂²×C₄×C₁₁	—	2	2	no	—
293	C₂²×C₄×C₁₁	—	2	2	no	—
294	C₂²×C₄×C₁₁	—	2	2	no	—
295	C₂²×C₄×C₁₁	—	2	2	no	—
296	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
297	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
298	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
299	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
300	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
301	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
302	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
303	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
304	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
305	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
306	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
307	C₁₁×Q₁₆	—	2	2	no	—
308	C₁₁×SD₁₆	—	2	4	no	—
309	C₁₁×D₈	—	2	2	no	—
310	C₁₁×M₁₆	—	2	4	no	—
311	C₁₁×M₁₆	—	2	4	no	—
312	C₂×C₈×C₁₁	—	2	2	no	—
313	C₂×C₈×C₁₁	—	2	2	no	—
314	C₂×C₈×C₁₁	—	2	2	no	—
315	C₂×C₈×C₁₁	—	2	2	no	—
316	C₂×C₈×C₁₁	—	2	2	no	—
317	C₂×C₈×C₁₁	—	2	2	no	—
318	C₂×C₈×C₁₁	—	2	2	no	—
319	C₂×C₈×C₁₁	#41	1	4	yes	complemented
320	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
321	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
322	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
323	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
324	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
325	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
326	C₁₁×C₄⋊C₄	—	2	2	no	—
327	C₁₁×C₄⋊C₄	—	2	2	no	—
328	C₁₁×C₄⋊C₄	—	2	2	no	—
329	C₁₁×C₄⋊C₄	—	2	2	no	—
330	C₁₁×C₄⋊C₄	—	2	2	no	—
331	C₁₁×C₄⋊C₄	—	2	2	no	—
332	C₁₁×C₄⋊C₄	—	2	2	no	—
333	C₁₁×C₄⋊C₄	—	2	2	no	—
334	C₁₁×C₄⋊C₄	—	2	2	no	—
335	C₁₁×C₄⋊C₄	—	2	2	no	—
336	C₁₁×C₄⋊C₄	—	2	2	no	—
337	C₁₁×C₄⋊C₄	—	2	2	no	—
338	C₁₁×C₄⋊C₄	—	2	2	no	—
339	C₁₁×C₄⋊C₄	—	2	2	no	—
340	C₁₁×C₄⋊C₄	—	2	2	no	—
341	C₁₁×C₄⋊C₄	—	2	2	no	—
342	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
343	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
344	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
345	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
346	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
347	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
348	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
349	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
350	C₁₁×C₂²⋊C₄	—	2	2	no	—
351	C₁₁×C₂²⋊C₄	—	2	2	no	—
352	C₁₁×C₂²⋊C₄	—	2	2	no	—
353	C₁₁×C₂²⋊C₄	—	2	2	no	—
354	C₁₁×C₂²⋊C₄	—	2	2	no	—
355	C₁₁×C₂²⋊C₄	—	2	2	no	—
356	C₁₁×C₂²⋊C₄	—	2	2	no	—
357	C₁₁×C₂²⋊C₄	—	2	2	no	—
358	C₁₁×C₂²⋊C₄	—	2	2	no	—
359	C₁₁×C₂²⋊C₄	—	2	2	no	—
360	C₁₁×C₂²⋊C₄	—	2	2	no	—
361	C₁₁×C₂²⋊C₄	—	2	2	no	—
362	C₁₁×C₂²⋊C₄	—	2	2	no	—
363	C₁₁×C₂²⋊C₄	—	2	2	no	—
364	C₁₁×C₂²⋊C₄	—	2	2	no	—
365	C₁₁×C₂²⋊C₄	—	2	2	no	—
366	C₁₁×C₂²⋊C₄	—	2	2	no	—
367	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
368	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
369	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
370	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
371	C₄²×C₁₁	—	2	2	no	—
372	C₄²×C₁₁	—	2	2	no	—
373	C₄²×C₁₁	—	2	2	no	—
374	C₄²×C₁₁	—	2	2	no	—
375	C₄²×C₁₁	—	2	2	no	—
376	C₄²×C₁₁	—	2	2	no	—
377	C₄²×C₁₁	—	2	2	no	—
378	C₄²×C₁₁	—	2	2	no	—
379	C₄²×C₁₁	—	2	2	no	—
380	C₄²×C₁₁	C₂×D₄	1	2	yes	—
381	C₄²×C₁₁	C₂⁴	1	2	yes	—
382	#3475	C₂×C₁₁	1	2	yes	complemented
383	#3350	C₂×C₁₁	1	2	yes	complemented
384	#3349	C₂×C₁₁	1	2	yes	complemented
385	#3348	C₂×C₁₁	1	2	yes	complemented
386	#3347	C₂×C₁₁	1	2	yes	complemented
387	#3346	C₂×C₁₁	1	2	yes	complemented
388	#3345	C₂×C₁₁	1	2	yes	complemented
389	#3344	C₂×C₁₁	1	2	yes	complemented
390	#3343	C₂×C₁₁	1	2	yes	complemented
391	#3162	C₂×C₁₁	1	1	yes	characteristic, complemented
392	#3091	C₂×C₁₁	1	2	yes	complemented
393	#3091	C₂×C₁₁	1	2	yes	complemented
394	#3076	C₂×C₁₁	1	2	yes	complemented
395	#3054	C₂×C₁₁	1	1	yes	characteristic, complemented
396	#3050	C₂×C₁₁	1	1	yes	characteristic, complemented
397	#2943	C₂×C₁₁	1	1	yes	characteristic, complemented
398	C₂×#435	C₂×C₁₁	1	1	yes	characteristic, complemented
399	#2911	C₂×C₁₁	1	1	yes	characteristic, complemented
400	C₂×#427	C₂×C₁₁	1	1	yes	characteristic, complemented
401	C₂³×C₁₁	—	2	2	no	—
402	C₂³×C₁₁	—	2	2	no	—
403	C₂³×C₁₁	—	2	2	no	—
404	C₂³×C₁₁	—	2	2	no	—
405	C₂³×C₁₁	—	4	1	no	—
406	C₂³×C₁₁	—	4	1	no	—
407	C₂³×C₁₁	—	4	1	no	—
408	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
409	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
410	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
411	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
412	Q₈×C₁₁	—	2	2	no	—
413	Q₈×C₁₁	—	2	2	no	—
414	Q₈×C₁₁	—	4	4	no	—
415	Q₈×C₁₁	—	8	2	no	—
416	D₄×C₁₁	—	2	4	no	—
417	D₄×C₁₁	—	2	2	no	—
418	D₄×C₁₁	—	2	2	no	—
419	D₄×C₁₁	—	4	2	no	—
420	D₄×C₁₁	—	4	4	no	—
421	D₄×C₁₁	—	4	4	no	—
422	D₄×C₁₁	—	4	4	no	—
423	D₄×C₁₁	—	8	2	no	—
424	D₄×C₁₁	—	8	2	no	—
425	C₂×C₄×C₁₁	—	2	2	no	—
426	C₂×C₄×C₁₁	—	2	2	no	—
427	C₂×C₄×C₁₁	—	2	2	no	—
428	C₂×C₄×C₁₁	—	2	2	no	—
429	C₂×C₄×C₁₁	—	2	4	no	—
430	C₂×C₄×C₁₁	—	2	1	no	—
431	C₂×C₄×C₁₁	—	2	1	no	—
432	C₂×C₄×C₁₁	—	2	2	no	—
433	C₂×C₄×C₁₁	—	2	1	no	—
434	C₂×C₄×C₁₁	—	2	2	no	—
435	C₂×C₄×C₁₁	—	2	1	no	—
436	C₂×C₄×C₁₁	—	2	2	no	—
437	C₂×C₄×C₁₁	—	2	2	no	—
438	C₂×C₄×C₁₁	—	2	2	no	—
439	C₂×C₄×C₁₁	—	2	2	no	—
440	C₂×C₄×C₁₁	—	2	2	no	—
441	C₂×C₄×C₁₁	—	2	2	no	—
442	C₂×C₄×C₁₁	—	2	2	no	—
443	C₂×C₄×C₁₁	—	4	1	no	—
444	C₂×C₄×C₁₁	—	4	1	no	—
445	C₂×C₄×C₁₁	—	4	4	no	—
446	C₂×C₄×C₁₁	—	4	4	no	—
447	C₂×C₄×C₁₁	—	4	4	no	—
448	C₂×C₄×C₁₁	—	4	4	no	—
449	C₂×C₄×C₁₁	—	8	2	no	—
450	C₂×C₄×C₁₁	—	8	2	no	—
451	C₂×C₄×C₁₁	—	8	2	no	—
452	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
453	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
454	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
455	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
456	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
457	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
458	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
459	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
460	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
461	C₈×C₁₁	—	2	1	no	—
462	C₈×C₁₁	—	2	1	no	—
463	C₈×C₁₁	—	2	2	no	—
464	C₈×C₁₁	—	2	2	no	—
465	C₈×C₁₁	C₂×#41	1	2	yes	—
466	C₈×C₁₁	C₂×#41	1	2	yes	—
467	C₂×#135	C₂²×C₁₁	1	1	yes	characteristic
468	C₂²×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
469	C₂³×C₈	C₂²×C₁₁	1	1	yes	characteristic
470	#556	C₂²×C₁₁	1	2	yes	—
471	#555	C₂²×C₁₁	1	2	yes	—
472	#554	C₂²×C₁₁	1	2	yes	—
473	#553	C₂²×C₁₁	1	2	yes	—
474	#553	C₂²×C₁₁	1	2	yes	—
475	#552	—	2	2	no	—
476	#552	C₂²×C₁₁	1	2	yes	—
477	#552	C₂²×C₁₁	1	2	yes	—
478	#551	—	2	2	no	—
479	#551	—	2	2	no	—
480	#547	C₂²×C₁₁	1	2	yes	—
481	#546	—	2	2	no	—
482	#533	C₂²×C₁₁	1	2	yes	—
483	#529	—	2	2	no	—
484	#529	—	2	2	no	—
485	#529	—	2	2	no	—
486	#525	C₂²×C₁₁	1	2	yes	—
487	#525	C₂²×C₁₁	1	2	yes	—
488	C₄×#41	—	2	2	no	—
489	C₄×#41	C₂²×C₁₁	1	2	yes	—
490	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
491	C₂×#117	C₂²×C₁₁	1	2	yes	—
492	C₂×#117	C₂²×C₁₁	1	2	yes	—
493	#501	C₂²×C₁₁	1	2	yes	complemented
494	#501	C₂²×C₁₁	1	2	yes	complemented
495	#501	C₂²×C₁₁	1	2	yes	complemented
496	#501	C₂²×C₁₁	1	2	yes	complemented
497	#485	C₂²×C₁₁	1	2	yes	complemented
498	#485	C₂²×C₁₁	1	2	yes	complemented
499	#485	C₂²×C₁₁	1	2	yes	complemented
500	#485	C₂²×C₁₁	1	2	yes	complemented
501	#484	C₂²×C₁₁	1	2	yes	complemented
502	#484	C₂²×C₁₁	1	2	yes	complemented
503	#483	C₂²×C₁₁	1	2	yes	complemented
504	#483	C₂²×C₁₁	1	2	yes	complemented
505	#482	C₂²×C₁₁	1	2	yes	complemented
506	#482	C₂²×C₁₁	1	2	yes	complemented
507	#482	C₂²×C₁₁	1	2	yes	complemented
508	#482	C₂²×C₁₁	1	2	yes	complemented
509	#481	C₂²×C₁₁	1	2	yes	complemented
510	#481	C₂²×C₁₁	1	2	yes	complemented
511	#480	C₂²×C₁₁	1	2	yes	complemented
512	#480	C₂²×C₁₁	1	2	yes	complemented
513	#479	C₂²×C₁₁	1	2	yes	complemented
514	#479	C₂²×C₁₁	1	2	yes	complemented
515	#478	C₂²×C₁₁	1	2	yes	complemented
516	#478	C₂²×C₁₁	1	2	yes	complemented
517	#477	C₂²×C₁₁	1	2	yes	complemented
518	#476	C₂²×C₁₁	1	2	yes	complemented
519	#475	C₂²×C₁₁	1	2	yes	complemented
520	#474	C₂²×C₁₁	1	2	yes	complemented
521	#470	C₂²×C₁₁	1	2	yes	complemented
522	#469	C₂²×C₁₁	1	2	yes	complemented
523	#468	C₂²×C₁₁	1	2	yes	complemented
524	#468	C₂²×C₁₁	1	2	yes	complemented
525	#467	C₂²×C₁₁	1	1	yes	characteristic, complemented
526	#467	C₂²×C₁₁	1	1	yes	characteristic, complemented
527	#466	C₂²×C₁₁	1	1	yes	characteristic, complemented
528	#466	C₂²×C₁₁	1	1	yes	characteristic, complemented
529	#465	C₂²×C₁₁	1	2	yes	complemented
530	#465	C₂²×C₁₁	1	2	yes	complemented
531	#442	C₂²×C₁₁	1	2	yes	complemented
532	#441	C₂²×C₁₁	1	2	yes	complemented
533	#440	C₂²×C₁₁	1	2	yes	complemented
534	#440	C₂²×C₁₁	1	2	yes	complemented
535	#435	C₂²×C₁₁	1	2	yes	—
536	#435	C₂²×C₁₁	1	2	yes	—
537	#435	C₂²×C₁₁	1	2	yes	—
538	#435	C₂²×C₁₁	1	2	yes	—
539	#428	C₂²×C₁₁	1	2	yes	complemented
540	#428	C₂²×C₁₁	1	2	yes	complemented
541	#428	C₂²×C₁₁	1	2	yes	complemented
542	#428	C₂²×C₁₁	1	2	yes	complemented
543	#427	C₂²×C₁₁	1	2	yes	—
544	#427	C₂²×C₁₁	1	2	yes	—
545	#427	C₂²×C₁₁	1	2	yes	—
546	#427	C₂²×C₁₁	1	1	yes	characteristic
547	#427	C₂²×C₁₁	1	1	yes	characteristic
548	#427	C₂²×C₁₁	1	1	yes	characteristic
549	#427	C₂²×C₁₁	1	2	yes	complemented
550	#427	C₂²×C₁₁	1	1	yes	characteristic, complemented
551	#427	C₂²×C₁₁	1	1	yes	characteristic, complemented
552	C₂×#107	C₂²×C₁₁	1	1	yes	characteristic, complemented
553	C₂×#107	C₂²×C₁₁	1	1	yes	characteristic, complemented
554	C₂×#106	C₂²×C₁₁	1	2	yes	complemented
555	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
556	#416	C₂²×C₁₁	1	2	yes	—
557	#416	C₂²×C₁₁	1	2	yes	—
558	#416	C₂²×C₁₁	1	2	yes	—
559	C₂×C₂²⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
560	C₂×C₂²⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
561	C₂×#97	C₂²×C₁₁	1	1	yes	characteristic
562	C₂²×C₁₁	—	2	1	no	—
563	C₂²×C₁₁	—	2	1	no	—
564	C₂²×C₁₁	—	2	1	no	—
565	C₂²×C₁₁	—	2	1	no	—
566	C₂²×C₁₁	—	2	2	no	—
567	C₂²×C₁₁	—	2	1	no	—
568	C₂²×C₁₁	—	2	1	no	—
569	C₂²×C₁₁	—	2	2	no	—
570	C₂²×C₁₁	—	2	2	no	—
571	C₂²×C₁₁	—	2	1	no	—
572	C₂²×C₁₁	—	4	4	no	—
573	C₂²×C₁₁	—	4	2	no	—
574	C₂²×C₁₁	—	4	2	no	—
575	C₂²×C₁₁	—	4	2	no	—
576	C₂²×C₁₁	—	8	2	no	—
577	C₂²×C₁₁	#547	1	2	yes	—
578	C₂²×C₁₁	#575	1	2	yes	—
579	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
580	C₄×C₁₁	—	2	2	no	—
581	C₄×C₁₁	—	2	1	no	—
582	C₄×C₁₁	—	2	1	no	—
583	C₄×C₁₁	—	2	2	no	—
584	C₄×C₁₁	—	2	2	no	—
585	C₄×C₁₁	—	4	2	no	—
586	C₄×C₁₁	—	4	2	no	—
587	C₄×C₁₁	—	4	2	no	—
588	C₄×C₁₁	—	4	2	no	—
589	C₄×C₁₁	—	4	2	no	—
590	C₄×C₁₁	—	4	2	no	—
591	C₄×C₁₁	—	4	2	no	—
592	C₄×C₁₁	#547	1	2	yes	—
593	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
594	C₄×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
595	C₂×#41	—	2	2	no	—
596	C₂×#41	C₂³×C₁₁	1	2	yes	—
597	C₂²×D₄	D₄×C₁₁	1	1	yes	characteristic
598	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
599	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
600	#135	—	2	4	no	—
601	C₂×Q₁₆	C₂³×C₁₁	1	1	yes	characteristic
602	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
603	C₂×D₈	C₂³×C₁₁	1	1	yes	characteristic
604	C₂×M₁₆	—	2	4	no	—
605	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
606	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
607	C₂²×C₈	—	2	4	no	—
608	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
609	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
610	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
611	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
612	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
613	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
614	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
615	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
616	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
617	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
618	#126	—	2	2	no	—
619	#126	—	2	2	no	—
620	#126	—	2	2	no	—
621	#126	—	2	2	no	—
622	#126	—	2	2	no	—
623	#126	—	2	2	no	—
624	#125	—	2	2	no	—
625	#125	—	2	2	no	—
626	#125	—	2	2	no	—
627	#125	C₂³×C₁₁	1	2	yes	—
628	#125	C₂³×C₁₁	1	2	yes	—
629	#124	—	2	2	no	—
630	#124	—	2	2	no	—
631	#124	—	2	2	no	—
632	#123	—	2	2	no	—
633	#123	—	2	2	no	—
634	#123	—	2	2	no	—
635	#123	—	2	2	no	—
636	#123	—	2	2	no	—
637	#123	—	2	2	no	—
638	#123	—	2	2	no	—
639	#123	—	2	2	no	—
640	C₂²⋊Q₈	—	2	2	no	—
641	C₂²⋊Q₈	—	2	2	no	—
642	C₂²⋊Q₈	—	2	2	no	—
643	C₂²⋊Q₈	—	2	2	no	—
644	C₂²⋊Q₈	—	2	2	no	—
645	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
646	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
647	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
648	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
649	#121	—	2	2	no	—
650	#121	—	2	2	no	—
651	#121	—	2	2	no	—
652	#121	C₂³×C₁₁	1	2	yes	—
653	#121	C₂³×C₁₁	1	2	yes	—
654	#121	C₂³×C₁₁	1	2	yes	—
655	#121	C₂³×C₁₁	1	2	yes	—
656	#120	—	2	2	no	—
657	#120	—	2	2	no	—
658	C₄×Q₈	—	2	2	no	—
659	C₄×Q₈	—	2	2	no	—
660	C₄×Q₈	—	2	2	no	—
661	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
662	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
663	C₄×D₄	—	2	2	no	—
664	C₄×D₄	—	2	2	no	—
665	C₄×D₄	—	2	2	no	—
666	C₄×D₄	—	2	2	no	—
667	C₄×D₄	—	2	2	no	—
668	C₄×D₄	—	2	2	no	—
669	C₄×D₄	—	2	2	no	—
670	C₄×D₄	—	2	2	no	—
671	C₄×D₄	—	2	2	no	—
672	C₄×D₄	D₄×C₁₁	1	2	yes	—
673	C₄×D₄	D₄×C₁₁	1	2	yes	—
674	C₄×D₄	C₂³×C₁₁	1	2	yes	—
675	C₄×D₄	C₂³×C₁₁	1	2	yes	—
676	C₄×D₄	C₂³×C₁₁	1	2	yes	—
677	C₄×D₄	C₂³×C₁₁	1	2	yes	—
678	#117	—	2	2	no	—
679	#117	—	2	2	no	—
680	#117	—	2	2	no	—
681	#117	—	2	2	no	—
682	#117	—	2	2	no	—
683	#117	—	2	2	no	—
684	#117	—	2	2	no	—
685	#117	—	2	2	no	—
686	#117	C₂³×C₁₁	1	2	yes	—
687	#117	C₂³×C₁₁	1	2	yes	—
688	#117	C₂³×C₁₁	1	2	yes	—
689	#117	C₂³×C₁₁	1	2	yes	—
690	#117	C₂³×C₁₁	1	2	yes	—
691	#117	C₂³×C₁₁	1	2	yes	—
692	#117	C₂³×C₁₁	1	2	yes	—
693	C₂×C₄⋊C₄	D₄×C₁₁	1	1	yes	characteristic
694	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
695	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
696	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
697	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
698	C₂×C₂²⋊C₄	—	2	2	no	—
699	C₂×C₂²⋊C₄	—	2	2	no	—
700	C₂×C₂²⋊C₄	D₄×C₁₁	1	1	yes	characteristic
701	C₂×C₂²⋊C₄	D₄×C₁₁	1	1	yes	characteristic
702	C₂×C₄²	—	2	2	no	—
703	C₂×C₄²	—	2	2	no	—
704	C₂×C₄²	—	2	2	no	—
705	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
706	#107	C₂³×C₁₁	1	1	yes	characteristic
707	#107	C₂³×C₁₁	1	1	yes	characteristic
708	#107	C₂³×C₁₁	1	1	yes	characteristic
709	#107	C₂³×C₁₁	1	1	yes	characteristic
710	#107	C₂³×C₁₁	1	2	yes	—
711	#107	C₂³×C₁₁	1	2	yes	—
712	#107	C₂³×C₁₁	1	1	yes	characteristic
713	#107	C₂³×C₁₁	1	1	yes	characteristic
714	#107	C₂³×C₁₁	1	2	yes	—
715	#107	C₂³×C₁₁	1	2	yes	—
716	#107	C₂³×C₁₁	1	2	yes	—
717	#107	C₂³×C₁₁	1	2	yes	—
718	#106	C₂³×C₁₁	1	2	yes	—
719	#106	C₂³×C₁₁	1	2	yes	—
720	#106	C₂³×C₁₁	1	2	yes	—
721	#106	C₂³×C₁₁	1	2	yes	—
722	#106	C₂³×C₁₁	1	2	yes	—
723	#106	C₂³×C₁₁	1	2	yes	—
724	#106	C₂³×C₁₁	1	2	yes	—
725	#106	C₂³×C₁₁	1	2	yes	—
726	#106	C₂³×C₁₁	1	2	yes	—
727	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
728	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
729	#103	C₂³×C₁₁	1	2	yes	—
730	#103	C₂³×C₁₁	1	2	yes	—
731	#103	C₂³×C₁₁	1	2	yes	—
732	#103	C₂³×C₁₁	1	2	yes	—
733	#103	C₂³×C₁₁	1	2	yes	—
734	#103	C₂³×C₁₁	1	2	yes	—
735	#102	C₂³×C₁₁	1	2	yes	—
736	#102	C₂³×C₁₁	1	2	yes	—
737	#102	C₂³×C₁₁	1	2	yes	—
738	#102	C₂³×C₁₁	1	2	yes	—
739	#102	C₂³×C₁₁	1	2	yes	—
740	#102	C₂³×C₁₁	1	2	yes	—
741	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
742	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
743	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
744	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
745	#97	C₂³×C₁₁	1	2	yes	—
746	#97	C₂³×C₁₁	1	2	yes	—
747	C₂×C₁₁	—	2	2	no	—
748	C₂×C₁₁	—	2	2	no	—
749	C₂×C₁₁	—	4	1	no	—
750	C₂×C₁₁	—	4	2	no	—
751	C₂×C₁₁	—	8	2	no	—
752	C₂×C₁₁	C₂×#547	1	1	yes	characteristic
753	C₂×C₁₁	C₂×#575	1	1	yes	characteristic
754	C₂×C₁₁	#3584	1	1	yes	characteristic
755	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
756	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
757	#41	—	2	4	no	—
758	#41	—	2	4	no	—
759	#41	—	4	8	no	—
760	C₂×Q₈	—	2	2	no	—
761	C₂×Q₈	—	2	2	no	—
762	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
763	C₂×D₄	—	2	2	no	—
764	C₂×D₄	—	2	2	no	—
765	C₂×D₄	—	2	2	no	—
766	C₂×D₄	—	2	2	no	—
767	C₂×D₄	—	2	2	no	—
768	C₂×D₄	—	4	2	no	—
769	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
770	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
771	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
772	C₂²×C₄	—	2	2	no	—
773	C₂²×C₄	—	2	2	no	—
774	C₂²×C₄	—	2	2	no	—
775	C₂²×C₄	—	2	2	no	—
776	C₂²×C₄	—	2	2	no	—
777	C₂²×C₄	—	2	2	no	—
778	C₂²×C₄	—	2	2	no	—
779	C₂²×C₄	—	2	2	no	—
780	C₂²×C₄	—	2	2	no	—
781	C₂²×C₄	—	2	2	no	—
782	C₂²×C₄	—	2	2	no	—
783	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
784	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
785	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
786	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
787	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
788	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
789	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
790	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
791	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
792	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
793	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
794	Q₁₆	—	2	2	no	—
795	SD₁₆	—	2	4	no	—
796	D₈	—	2	2	no	—
797	M₁₆	—	2	4	no	—
798	M₁₆	—	2	4	no	—
799	C₂×C₈	—	2	2	no	—
800	C₂×C₈	—	2	2	no	—
801	C₂×C₈	—	2	2	no	—
802	C₂×C₈	—	2	2	no	—
803	C₂×C₈	—	2	2	no	—
804	C₂×C₈	—	2	2	no	—
805	C₂×C₈	—	2	2	no	—
806	C₂×C₈	C₁₁×#41	1	4	yes	complemented
807	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
808	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
809	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
810	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
811	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
812	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
813	C₄⋊C₄	—	2	2	no	—
814	C₄⋊C₄	—	2	2	no	—
815	C₄⋊C₄	—	2	2	no	—
816	C₄⋊C₄	—	2	2	no	—
817	C₄⋊C₄	—	2	2	no	—
818	C₄⋊C₄	—	2	2	no	—
819	C₄⋊C₄	—	2	2	no	—
820	C₄⋊C₄	—	2	2	no	—
821	C₄⋊C₄	—	2	2	no	—
822	C₄⋊C₄	—	2	2	no	—
823	C₄⋊C₄	—	2	2	no	—
824	C₄⋊C₄	—	2	2	no	—
825	C₄⋊C₄	—	2	2	no	—
826	C₄⋊C₄	—	2	2	no	—
827	C₄⋊C₄	—	2	2	no	—
828	C₄⋊C₄	—	2	2	no	—
829	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
830	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
831	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
832	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
833	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
834	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
835	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
836	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
837	C₂²⋊C₄	—	2	2	no	—
838	C₂²⋊C₄	—	2	2	no	—
839	C₂²⋊C₄	—	2	2	no	—
840	C₂²⋊C₄	—	2	2	no	—
841	C₂²⋊C₄	—	2	2	no	—
842	C₂²⋊C₄	—	2	2	no	—
843	C₂²⋊C₄	—	2	2	no	—
844	C₂²⋊C₄	—	2	2	no	—
845	C₂²⋊C₄	—	2	2	no	—
846	C₂²⋊C₄	—	2	2	no	—
847	C₂²⋊C₄	—	2	2	no	—
848	C₂²⋊C₄	—	2	2	no	—
849	C₂²⋊C₄	—	2	2	no	—
850	C₂²⋊C₄	—	2	2	no	—
851	C₂²⋊C₄	—	2	2	no	—
852	C₂²⋊C₄	—	2	2	no	—
853	C₂²⋊C₄	—	2	2	no	—
854	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
855	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
856	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
857	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
858	C₄²	—	2	2	no	—
859	C₄²	—	2	2	no	—
860	C₄²	—	2	2	no	—
861	C₄²	—	2	2	no	—
862	C₄²	—	2	2	no	—
863	C₄²	—	2	2	no	—
864	C₄²	—	2	2	no	—
865	C₄²	—	2	2	no	—
866	C₄²	—	2	2	no	—
867	C₄²	C₂×D₄×C₁₁	1	2	yes	—
868	C₄²	C₂⁴×C₁₁	1	2	yes	—
869	C₁₁	#61243	1	1	yes	characteristic, direct product factor, Sylow
870	C₂³	—	2	2	no	—
871	C₂³	—	2	2	no	—
872	C₂³	—	2	2	no	—
873	C₂³	—	2	2	no	—
874	C₂³	—	4	1	no	—
875	C₂³	—	4	1	no	—
876	C₂³	—	4	1	no	—
877	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
878	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
879	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
880	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
881	Q₈	—	2	2	no	—
882	Q₈	—	2	2	no	—
883	Q₈	—	4	4	no	—
884	Q₈	—	8	2	no	—
885	D₄	—	2	4	no	—
886	D₄	—	2	2	no	—
887	D₄	—	2	2	no	—
888	D₄	—	4	2	no	—
889	D₄	—	4	4	no	—
890	D₄	—	4	4	no	—
891	D₄	—	4	4	no	—
892	D₄	—	8	2	no	—
893	D₄	—	8	2	no	—
894	C₂×C₄	—	2	2	no	—
895	C₂×C₄	—	2	2	no	—
896	C₂×C₄	—	2	2	no	—
897	C₂×C₄	—	2	2	no	—
898	C₂×C₄	—	2	4	no	—
899	C₂×C₄	—	2	1	no	—
900	C₂×C₄	—	2	1	no	—
901	C₂×C₄	—	2	2	no	—
902	C₂×C₄	—	2	1	no	—
903	C₂×C₄	—	2	2	no	—
904	C₂×C₄	—	2	1	no	—
905	C₂×C₄	—	2	2	no	—
906	C₂×C₄	—	2	2	no	—
907	C₂×C₄	—	2	2	no	—
908	C₂×C₄	—	2	2	no	—
909	C₂×C₄	—	2	2	no	—
910	C₂×C₄	—	2	2	no	—
911	C₂×C₄	—	2	2	no	—
912	C₂×C₄	—	4	1	no	—
913	C₂×C₄	—	4	1	no	—
914	C₂×C₄	—	4	4	no	—
915	C₂×C₄	—	4	4	no	—
916	C₂×C₄	—	4	4	no	—
917	C₂×C₄	—	4	4	no	—
918	C₂×C₄	—	8	2	no	—
919	C₂×C₄	—	8	2	no	—
920	C₂×C₄	—	8	2	no	—
921	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
922	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
923	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
924	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
925	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
926	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
927	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
928	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
929	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
930	C₈	—	2	1	no	—
931	C₈	—	2	1	no	—
932	C₈	—	2	2	no	—
933	C₈	—	2	2	no	—
934	C₈	C₂×C₁₁×#41	1	2	yes	—
935	C₈	C₂×C₁₁×#41	1	2	yes	—
936	C₂²	—	2	1	no	—
937	C₂²	—	2	1	no	—
938	C₂²	—	2	1	no	—
939	C₂²	—	2	1	no	—
940	C₂²	—	2	1	no	—
941	C₂²	—	2	2	no	—
942	C₂²	—	2	2	no	—
943	C₂²	—	2	1	no	—
944	C₂²	—	2	2	no	—
945	C₂²	—	2	1	no	—
946	C₂²	—	4	4	no	—
947	C₂²	—	4	2	no	—
948	C₂²	—	4	2	no	—
949	C₂²	—	4	2	no	—
950	C₂²	—	8	2	no	—
951	C₂²	C₁₁×#547	1	2	yes	—
952	C₂²	C₁₁×#575	1	2	yes	—
953	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
954	C₄	—	2	1	no	—
955	C₄	—	2	1	no	—
956	C₄	—	2	2	no	—
957	C₄	—	2	2	no	—
958	C₄	—	2	2	no	—
959	C₄	—	4	2	no	—
960	C₄	—	4	2	no	—
961	C₄	—	4	2	no	—
962	C₄	—	4	2	no	—
963	C₄	—	4	2	no	—
964	C₄	—	4	2	no	—
965	C₄	—	4	2	no	—
966	C₄	C₁₁×#547	1	2	yes	—
967	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
968	C₄	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
969	C₂	—	2	2	no	—
970	C₂	—	2	2	no	—
971	C₂	—	4	1	no	—
972	C₂	—	4	2	no	—
973	C₂	—	8	2	no	—
974	C₂	C₂×C₁₁×#547	1	1	yes	characteristic
975	C₂	C₂×C₁₁×#575	1	1	yes	characteristic
976	C₂	C₁₁×#3584	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₁	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
socle	C₂²×C₁₁	C₂³×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₁ ◁ C₂×C₄×D₄×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3475	C₂	semidirect
2. C₁₁×#3350	C₂	semidirect
3. C₁₁×#3349	C₂	semidirect
4. C₁₁×#3348	C₂	semidirect
5. C₁₁×#3347	C₂	semidirect
6. C₁₁×#3346	C₂	semidirect
7. C₁₁×#3345	C₂	semidirect
8. C₁₁×#3344	C₂	semidirect
9. C₁₁×#3343	C₂	semidirect
10. C₁₁×#3162	C₂	semidirect
11. C₁₁×#3091	C₂	semidirect
12. C₁₁×#3091	C₂	semidirect
13. C₁₁×#3076	C₂	semidirect
14. C₁₁×#3054	C₂	semidirect
15. C₁₁×#3050	C₂	semidirect
16. C₁₁×#2943	C₂	semidirect
17. C₂×C₁₁×#435	C₂	semidirect
18. C₁₁×#2911	C₂	semidirect
19. C₂×C₁₁×#427	C₂	semidirect
46. C₁₁×#501	C₂²	semidirect
47. C₁₁×#501	C₂²	semidirect
48. C₁₁×#501	C₂²	semidirect
49. C₁₁×#501	C₂²	semidirect
50. C₁₁×#485	C₂²	semidirect
51. C₁₁×#485	C₂²	semidirect
52. C₁₁×#485	C₂²	semidirect
53. C₁₁×#485	C₂²	semidirect
54. C₁₁×#484	C₂²	semidirect
55. C₁₁×#484	C₂²	semidirect
56. C₁₁×#483	C₂²	semidirect
57. C₁₁×#483	C₂²	semidirect
58. C₁₁×#482	C₂²	semidirect
59. C₁₁×#482	C₂²	semidirect
60. C₁₁×#482	C₂²	semidirect
61. C₁₁×#482	C₂²	semidirect
62. C₁₁×#481	C₂²	semidirect
63. C₁₁×#481	C₂²	semidirect
64. C₁₁×#480	C₂²	semidirect
65. C₁₁×#480	C₂²	semidirect
66. C₁₁×#479	C₂²	semidirect
67. C₁₁×#479	C₂²	semidirect
68. C₁₁×#478	C₂²	semidirect
69. C₁₁×#478	C₂²	semidirect
70. C₁₁×#477	C₂²	semidirect
71. C₁₁×#476	C₂²	semidirect
72. C₁₁×#475	C₂²	semidirect
73. C₁₁×#474	C₂²	semidirect
74. C₁₁×#470	C₂²	semidirect
75. C₁₁×#469	C₂²	semidirect
76. C₁₁×#468	C₂²	semidirect
77. C₁₁×#468	C₂²	semidirect
78. C₁₁×#467	C₂²	semidirect
79. C₁₁×#467	C₂²	semidirect
80. C₁₁×#466	C₂²	semidirect
81. C₁₁×#466	C₂²	semidirect
82. C₁₁×#465	C₂²	semidirect
83. C₁₁×#465	C₂²	semidirect
84. C₁₁×#442	C₂²	semidirect
85. C₁₁×#441	C₂²	semidirect
86. C₁₁×#440	C₂²	semidirect
87. C₁₁×#440	C₂²	semidirect
92. C₁₁×#428	C₂²	semidirect
93. C₁₁×#428	C₂²	semidirect
94. C₁₁×#428	C₂²	semidirect
95. C₁₁×#428	C₂²	semidirect
102. C₁₁×#427	C₂²	semidirect
103. C₁₁×#427	C₂²	semidirect
104. C₁₁×#427	C₂²	semidirect
105. C₂×C₁₁×#107	C₂²	semidirect
106. C₂×C₁₁×#107	C₂²	semidirect
107. C₂×C₁₁×#106	C₂²	semidirect
267. #61243	C₁₁	direct (N × H)
319. C₂×C₈×C₁₁	#41	semidirect
382. #3475	C₂×C₁₁	semidirect
383. #3350	C₂×C₁₁	semidirect
384. #3349	C₂×C₁₁	semidirect
385. #3348	C₂×C₁₁	semidirect
386. #3347	C₂×C₁₁	semidirect
387. #3346	C₂×C₁₁	semidirect
388. #3345	C₂×C₁₁	semidirect
389. #3344	C₂×C₁₁	semidirect
390. #3343	C₂×C₁₁	semidirect
391. #3162	C₂×C₁₁	semidirect
392. #3091	C₂×C₁₁	semidirect
393. #3091	C₂×C₁₁	semidirect
394. #3076	C₂×C₁₁	semidirect
395. #3054	C₂×C₁₁	semidirect
396. #3050	C₂×C₁₁	semidirect
397. #2943	C₂×C₁₁	semidirect
398. C₂×#435	C₂×C₁₁	semidirect
399. #2911	C₂×C₁₁	semidirect
400. C₂×#427	C₂×C₁₁	semidirect
493. #501	C₂²×C₁₁	semidirect
494. #501	C₂²×C₁₁	semidirect
495. #501	C₂²×C₁₁	semidirect
496. #501	C₂²×C₁₁	semidirect
497. #485	C₂²×C₁₁	semidirect
498. #485	C₂²×C₁₁	semidirect
499. #485	C₂²×C₁₁	semidirect
500. #485	C₂²×C₁₁	semidirect
501. #484	C₂²×C₁₁	semidirect
502. #484	C₂²×C₁₁	semidirect
503. #483	C₂²×C₁₁	semidirect
504. #483	C₂²×C₁₁	semidirect
505. #482	C₂²×C₁₁	semidirect
506. #482	C₂²×C₁₁	semidirect
507. #482	C₂²×C₁₁	semidirect
508. #482	C₂²×C₁₁	semidirect
509. #481	C₂²×C₁₁	semidirect
510. #481	C₂²×C₁₁	semidirect
511. #480	C₂²×C₁₁	semidirect
512. #480	C₂²×C₁₁	semidirect
513. #479	C₂²×C₁₁	semidirect
514. #479	C₂²×C₁₁	semidirect
515. #478	C₂²×C₁₁	semidirect
516. #478	C₂²×C₁₁	semidirect
517. #477	C₂²×C₁₁	semidirect
518. #476	C₂²×C₁₁	semidirect
519. #475	C₂²×C₁₁	semidirect
520. #474	C₂²×C₁₁	semidirect
521. #470	C₂²×C₁₁	semidirect
522. #469	C₂²×C₁₁	semidirect
523. #468	C₂²×C₁₁	semidirect
524. #468	C₂²×C₁₁	semidirect
525. #467	C₂²×C₁₁	semidirect
526. #467	C₂²×C₁₁	semidirect
527. #466	C₂²×C₁₁	semidirect
528. #466	C₂²×C₁₁	semidirect
529. #465	C₂²×C₁₁	semidirect
530. #465	C₂²×C₁₁	semidirect
531. #442	C₂²×C₁₁	semidirect
532. #441	C₂²×C₁₁	semidirect
533. #440	C₂²×C₁₁	semidirect
534. #440	C₂²×C₁₁	semidirect
539. #428	C₂²×C₁₁	semidirect
540. #428	C₂²×C₁₁	semidirect
541. #428	C₂²×C₁₁	semidirect
542. #428	C₂²×C₁₁	semidirect
549. #427	C₂²×C₁₁	semidirect
550. #427	C₂²×C₁₁	semidirect
551. #427	C₂²×C₁₁	semidirect
552. C₂×#107	C₂²×C₁₁	semidirect
553. C₂×#107	C₂²×C₁₁	semidirect
554. C₂×#106	C₂²×C₁₁	semidirect
806. C₂×C₈	C₁₁×#41	semidirect
869. C₁₁	#61243	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₁×#3475	2
C₁₁×#3350	2
C₁₁×#3349	2
C₁₁×#3348	2
C₁₁×#3347	2
C₁₁×#3346	2
C₁₁×#3345	2
C₁₁×#3344	2
C₁₁×#3343	2
C₁₁×#3162	2
C₁₁×#3091	2
C₁₁×#3076	2
C₁₁×#3054	2
C₁₁×#3050	2
C₁₁×#2943	2
C₂×C₁₁×#435	2
C₁₁×#2911	2
C₂×C₁₁×#427	2
#61243	11

Subgroups — C11×#61243 #14638436

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61243 #14638436