Subgroups — C₁₁×#61453 #14638646

Order 2816.

1888 conjugacy classes of subgroups.

The subgroup lattice has 1144 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3481	C₂	1	1	yes	maximal, characteristic
2	Q₈×C₁₁×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3400	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#3385	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#3375	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#3372	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#3346	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3338	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#3320	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3314	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3299	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#3295	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×C₁₁×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3266	C₂	1	2	yes	maximal, complemented
15	C₁₁×#3182	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#3181	C₂	1	2	yes	maximal, complemented
17	C₁₁×#3117	C₂	1	2	yes	maximal, complemented
18	C₁₁×#3116	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₁×#3112	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₁×#3110	C₂	1	2	yes	maximal, complemented
21	C₁₁×#2970	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₁×#137	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₁₁×#440	C₂	1	2	yes	maximal, complemented
24	C₂×C₁₁×#137	C₂²	1	1	yes	characteristic
25	C₂²×C₁₁×SD₁₆	C₂²	1	2	yes	—
26	C₁₁×#559	C₂²	1	1	yes	characteristic
27	Q₈²×C₁₁	C₂²	1	1	yes	characteristic, complemented
28	C₁₁×#557	—	2	1	no	—
29	C₁₁×#557	C₂²	1	1	yes	characteristic, complemented
30	C₁₁×#554	—	2	1	no	—
31	C₁₁×#554	—	2	2	no	—
32	C₁₁×#554	C₂²	1	1	yes	characteristic
33	C₁₁×#554	C₂²	1	1	yes	characteristic
34	C₁₁×#554	C₂²	1	1	yes	characteristic
35	C₁₁×#554	C₂²	1	2	yes	complemented
36	C₁₁×#553	—	2	1	no	—
37	C₁₁×#553	C₂²	1	2	yes	—
38	C₁₁×#551	—	2	2	no	—
39	D₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
40	D₄×Q₈×C₁₁	C₂²	1	2	yes	complemented
41	C₁₁×#546	—	2	1	no	—
42	C₁₁×#546	C₂²	1	2	yes	—
43	D₄²×C₁₁	C₂²	1	1	yes	characteristic
44	C₁₁×#533	—	2	2	no	—
45	C₁₁×#533	—	2	1	no	—
46	C₁₁×#533	C₂²	1	2	yes	complemented
47	C₁₁×#533	C₂²	1	1	yes	characteristic, complemented
48	C₁₁×#532	C₂²	1	1	yes	characteristic
49	C₁₁×#529	—	2	1	no	—
50	C₁₁×#529	C₂²	1	2	yes	—
51	C₁₁×#525	—	2	2	no	—
52	C₄×C₁₁×#41	—	2	1	no	—
53	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
54	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
55	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	complemented
56	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₄×D₄×C₁₁	—	2	1	no	—
58	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
59	C₁₁×#501	C₂²	1	2	yes	complemented
60	C₁₁×#500	C₂²	1	1	yes	characteristic, complemented
61	C₁₁×#497	C₂²	1	2	yes	complemented
62	C₁₁×#492	C₂²	1	1	yes	characteristic
63	C₁₁×#491	C₂²	1	2	yes	complemented
64	C₁₁×#489	C₂²	1	2	yes	complemented
65	C₁₁×#487	C₂²	1	1	yes	characteristic, complemented
66	C₁₁×#486	C₂²	1	1	yes	characteristic
67	C₁₁×#485	C₂²	1	2	yes	complemented
68	C₁₁×#484	C₂²	1	2	yes	complemented
69	C₁₁×#484	C₂²	1	2	yes	complemented
70	C₁₁×#484	C₂²	1	2	yes	complemented
71	C₁₁×#481	C₂²	1	2	yes	—
72	C₁₁×#480	C₂²	1	2	yes	complemented
73	C₁₁×#479	C₂²	1	2	yes	complemented
74	C₁₁×#479	C₂²	1	2	yes	complemented
75	C₁₁×#477	C₂²	1	1	yes	characteristic, complemented
76	C₁₁×#477	C₂²	1	1	yes	characteristic, complemented
77	C₁₁×#477	C₂²	1	1	yes	characteristic, complemented
78	C₁₁×#476	C₂²	1	1	yes	characteristic
79	C₁₁×#474	C₂²	1	2	yes	—
80	C₁₁×#474	C₂²	1	2	yes	complemented
81	C₁₁×#468	C₂²	1	2	yes	complemented
82	C₁₁×#468	C₂²	1	2	yes	complemented
83	C₁₁×#467	C₂²	1	2	yes	complemented
84	C₁₁×#467	C₂²	1	2	yes	complemented
85	C₁₁×#465	C₂²	1	2	yes	—
86	C₁₁×#465	C₂²	1	2	yes	—
87	C₁₁×#464	C₂²	1	2	yes	complemented
88	C₁₁×#464	C₂²	1	2	yes	complemented
89	C₁₁×#462	C₂²	1	1	yes	characteristic, complemented
90	C₁₁×#461	C₂²	1	2	yes	—
91	C₁₁×#461	C₂²	1	1	yes	characteristic
92	C₁₁×#461	C₂²	1	2	yes	complemented
93	C₁₁×#460	C₂²	1	1	yes	characteristic
94	C₁₁×#460	C₂²	1	1	yes	characteristic
95	C₁₁×#452	C₂²	1	2	yes	—
96	C₁₁×#451	C₂²	1	2	yes	complemented
97	C₁₁×#450	C₂²	1	2	yes	—
98	C₁₁×#450	C₂²	1	2	yes	—
99	C₁₁×#448	C₂²	1	2	yes	—
100	C₁₁×#448	C₂²	1	2	yes	complemented
101	C₁₁×#446	C₂²	1	1	yes	characteristic, complemented
102	C₁₁×#446	C₂²	1	1	yes	characteristic, complemented
103	C₁₁×#441	C₂²	1	1	yes	characteristic, complemented
104	C₁₁×#441	C₂²	1	2	yes	complemented
105	C₁₁×#441	C₂²	1	1	yes	characteristic, complemented
106	C₁₁×#440	C₂²	1	1	yes	characteristic
107	C₁₁×#440	C₂²	1	2	yes	—
108	C₁₁×#440	C₂²	1	2	yes	—
109	C₁₁×#440	C₂²	1	2	yes	—
110	C₁₁×#440	C₂²	1	1	yes	characteristic
111	C₁₁×#440	C₂²	1	2	yes	complemented
112	C₁₁×#440	C₂²	1	2	yes	complemented
113	C₁₁×#440	C₂²	1	2	yes	complemented
114	C₁₁×#440	C₂²	1	2	yes	complemented
115	C₁₁×#440	C₂²	1	2	yes	complemented
116	C₁₁×#440	C₂²	1	2	yes	complemented
117	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
120	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
121	C₁₁×#435	C₂²	1	2	yes	complemented
122	C₁₁×#435	C₂²	1	2	yes	complemented
123	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic
124	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic
125	C₁₁×#432	C₂²	1	2	yes	complemented
126	C₁₁×#432	C₂²	1	1	yes	characteristic, complemented
127	C₁₁×#428	C₂²	1	1	yes	characteristic, complemented
128	C₂×C₁₁×#107	C₂²	1	2	yes	complemented
129	C₁₁×#419	C₂²	1	1	yes	characteristic, complemented
130	C₁₁×#417	C₂²	1	1	yes	characteristic
131	C₂×C₁₁×#103	C₂²	1	2	yes	complemented
132	C₂×C₁₁×#102	C₂²	1	2	yes	—
133	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₁₁×#97	C₂²	1	2	yes	complemented
135	C₂×C₁₁×#41	—	2	1	no	—
136	C₂×C₁₁×#41	D₄	1	1	yes	characteristic
137	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
138	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
139	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
140	C₂²×D₄×C₁₁	—	2	1	no	—
141	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
142	C₂³×C₄×C₁₁	—	2	2	no	—
143	C₁₁×#137	—	2	4	no	—
144	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
146	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₁×SD₁₆	—	2	8	no	—
148	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
155	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
156	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
157	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
158	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
159	C₁₁×C₄⋊Q₈	—	2	1	no	—
160	C₁₁×C₄⋊Q₈	—	2	2	no	—
161	C₁₁×C₄⋊Q₈	—	2	1	no	—
162	C₁₁×C₄⋊Q₈	—	2	2	no	—
163	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₁₁×#127	C₂³	1	1	yes	characteristic
169	C₁₁×#126	—	2	2	no	—
170	C₁₁×#126	—	2	2	no	—
171	C₁₁×#125	—	2	1	no	—
172	C₁₁×#125	—	2	1	no	—
173	C₁₁×#125	—	2	2	no	—
174	C₁₁×#125	—	2	1	no	—
175	C₁₁×#125	—	2	2	no	—
176	C₁₁×#125	—	2	1	no	—
177	C₁₁×#125	—	2	2	no	—
178	C₁₁×#125	C₂³	1	2	yes	—
179	C₁₁×#124	—	2	1	no	—
180	C₁₁×#124	—	2	1	no	—
181	C₁₁×#124	C₂³	1	2	yes	—
182	C₁₁×#123	—	2	2	no	—
183	C₁₁×#123	—	2	2	no	—
184	C₁₁×#123	—	2	2	no	—
185	C₁₁×#123	—	2	2	no	—
186	C₁₁×C₂²⋊Q₈	—	2	1	no	—
187	C₁₁×C₂²⋊Q₈	—	2	2	no	—
188	C₁₁×C₂²⋊Q₈	—	2	1	no	—
189	C₁₁×C₂²⋊Q₈	—	2	2	no	—
190	C₁₁×C₂²⋊Q₈	—	2	2	no	—
191	C₁₁×C₂²⋊Q₈	—	2	2	no	—
192	C₁₁×C₂²⋊Q₈	—	2	2	no	—
193	C₁₁×C₂²⋊Q₈	—	2	2	no	—
194	C₁₁×C₂²⋊Q₈	—	2	2	no	—
195	C₁₁×C₂²⋊Q₈	—	2	2	no	—
196	C₁₁×C₂²⋊Q₈	—	2	2	no	—
197	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
198	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
199	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
200	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
201	C₁₁×#121	—	2	2	no	—
202	C₁₁×#121	—	2	1	no	—
203	C₁₁×#121	—	2	1	no	—
204	C₁₁×#121	—	2	2	no	—
205	C₁₁×#121	C₂³	1	2	yes	—
206	C₁₁×#121	C₂³	1	2	yes	—
207	C₁₁×#120	—	2	2	no	—
208	C₁₁×#120	—	2	2	no	—
209	C₄×Q₈×C₁₁	—	2	1	no	—
210	C₄×Q₈×C₁₁	—	2	1	no	—
211	C₄×Q₈×C₁₁	—	2	1	no	—
212	C₄×Q₈×C₁₁	—	2	2	no	—
213	C₄×Q₈×C₁₁	—	2	1	no	—
214	C₄×Q₈×C₁₁	—	2	2	no	—
215	C₄×Q₈×C₁₁	—	2	1	no	—
216	C₄×Q₈×C₁₁	—	2	2	no	—
217	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
218	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
219	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
220	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
221	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
222	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
223	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
224	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
225	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
228	C₄×D₄×C₁₁	—	2	1	no	—
229	C₄×D₄×C₁₁	—	2	1	no	—
230	C₄×D₄×C₁₁	—	2	2	no	—
231	C₄×D₄×C₁₁	—	2	1	no	—
232	C₄×D₄×C₁₁	—	2	2	no	—
233	C₄×D₄×C₁₁	—	2	2	no	—
234	C₄×D₄×C₁₁	—	2	1	no	—
235	C₄×D₄×C₁₁	—	2	1	no	—
236	C₄×D₄×C₁₁	—	2	1	no	—
237	C₄×D₄×C₁₁	—	2	2	no	—
238	C₄×D₄×C₁₁	—	2	1	no	—
239	C₄×D₄×C₁₁	—	2	2	no	—
240	C₄×D₄×C₁₁	—	2	2	no	—
241	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
242	C₄×D₄×C₁₁	D₄	1	2	yes	—
243	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₁₁	C₂³	1	2	yes	—
245	C₄×D₄×C₁₁	C₂³	1	2	yes	—
246	C₄×D₄×C₁₁	C₂³	1	2	yes	—
247	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
249	C₄×D₄×C₁₁	C₂³	1	2	yes	—
250	C₁₁×#117	—	2	2	no	—
251	C₁₁×#117	—	2	1	no	—
252	C₁₁×#117	—	2	1	no	—
253	C₁₁×#117	—	2	2	no	—
254	C₁₁×#117	D₄	1	2	yes	—
255	C₁₁×#117	D₄	1	1	yes	characteristic
256	C₁₁×#117	C₂³	1	1	yes	characteristic
257	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
258	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
259	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
260	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
261	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
262	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
264	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
265	C₂×C₄²×C₁₁	—	2	2	no	—
266	C₂×C₄²×C₁₁	—	2	1	no	—
267	C₂×C₄²×C₁₁	—	2	1	no	—
268	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
269	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
270	C₁₁×#107	C₂³	1	2	yes	—
271	C₁₁×#107	C₂³	1	2	yes	—
272	C₁₁×#107	C₂³	1	2	yes	—
273	C₁₁×#107	C₂³	1	1	yes	characteristic
274	C₁₁×#107	C₂³	1	2	yes	—
275	C₁₁×#107	C₂³	1	2	yes	—
276	C₁₁×#107	C₂³	1	1	yes	characteristic
277	C₁₁×#106	C₂³	1	1	yes	characteristic
278	C₁₁×#106	C₂³	1	2	yes	—
279	C₁₁×#106	C₂³	1	1	yes	characteristic
280	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₁×#103	C₂³	1	1	yes	characteristic
285	C₁₁×#103	C₂³	1	2	yes	—
286	C₁₁×#103	C₂³	1	1	yes	characteristic
287	C₁₁×#103	C₂³	1	2	yes	—
288	C₁₁×#103	C₂³	1	2	yes	—
289	C₁₁×#103	C₂³	1	2	yes	—
290	C₁₁×#103	C₂³	1	1	yes	characteristic
291	C₁₁×#103	C₂³	1	2	yes	—
292	C₁₁×#103	C₂³	1	2	yes	—
293	C₁₁×#103	C₂³	1	1	yes	characteristic
294	C₁₁×#103	C₂³	1	1	yes	characteristic
295	C₁₁×#103	C₂³	1	1	yes	characteristic
296	C₁₁×#103	C₂³	1	2	yes	—
297	C₁₁×#102	C₂³	1	2	yes	—
298	C₁₁×#102	C₂³	1	2	yes	—
299	C₁₁×#102	C₂³	1	1	yes	characteristic
300	C₁₁×#102	C₂³	1	2	yes	—
301	C₁₁×#102	C₂³	1	2	yes	—
302	C₁₁×#102	C₂³	1	1	yes	characteristic
303	C₁₁×#102	C₂³	1	2	yes	—
304	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₁×#97	C₂³	1	2	yes	—
308	C₁₁×#97	C₂³	1	2	yes	—
309	C₁₁×#97	C₂³	1	1	yes	characteristic
310	C₁₁×#97	C₂³	1	2	yes	—
311	C₁₁×#97	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
314	#61453	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
315	C₂⁴×C₁₁	—	2	2	no	—
316	C₁₁×#41	—	2	4	no	—
317	C₁₁×#41	—	2	2	no	—
318	C₁₁×#41	—	4	1	no	—
319	C₁₁×#41	—	8	2	no	—
320	C₂×Q₈×C₁₁	—	2	1	no	—
321	C₂×Q₈×C₁₁	—	2	2	no	—
322	C₂×Q₈×C₁₁	—	2	2	no	—
323	C₂×Q₈×C₁₁	—	2	1	no	—
324	C₂×Q₈×C₁₁	—	2	1	no	—
325	C₂×Q₈×C₁₁	—	2	4	no	—
326	C₂×Q₈×C₁₁	—	2	2	no	—
327	C₂×Q₈×C₁₁	—	4	2	no	—
328	C₂×Q₈×C₁₁	—	4	1	no	—
329	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
330	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
331	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
332	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
333	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
334	C₂×D₄×C₁₁	—	2	4	no	—
335	C₂×D₄×C₁₁	—	2	1	no	—
336	C₂×D₄×C₁₁	—	2	2	no	—
337	C₂×D₄×C₁₁	—	2	2	no	—
338	C₂×D₄×C₁₁	—	2	2	no	—
339	C₂×D₄×C₁₁	—	2	1	no	—
340	C₂×D₄×C₁₁	—	2	1	no	—
341	C₂×D₄×C₁₁	—	4	2	no	—
342	C₂×D₄×C₁₁	—	4	4	no	—
343	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
344	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
345	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
346	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₁₁	—	2	1	no	—
348	C₂²×C₄×C₁₁	—	2	2	no	—
349	C₂²×C₄×C₁₁	—	2	1	no	—
350	C₂²×C₄×C₁₁	—	2	2	no	—
351	C₂²×C₄×C₁₁	—	2	2	no	—
352	C₂²×C₄×C₁₁	—	2	1	no	—
353	C₂²×C₄×C₁₁	—	2	1	no	—
354	C₂²×C₄×C₁₁	—	2	1	no	—
355	C₂²×C₄×C₁₁	—	2	2	no	—
356	C₂²×C₄×C₁₁	—	2	2	no	—
357	C₂²×C₄×C₁₁	—	2	2	no	—
358	C₂²×C₄×C₁₁	—	8	4	no	—
359	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
360	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
361	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
362	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
363	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
364	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
365	C₁₁×Q₁₆	—	2	2	no	—
366	C₁₁×Q₁₆	—	2	2	no	—
367	C₁₁×Q₁₆	—	4	2	no	—
368	C₁₁×SD₁₆	—	2	4	no	—
369	C₁₁×SD₁₆	—	2	4	no	—
370	C₁₁×SD₁₆	—	2	4	no	—
371	C₁₁×SD₁₆	—	2	2	no	—
372	C₁₁×SD₁₆	—	4	2	no	—
373	C₁₁×SD₁₆	—	4	2	no	—
374	C₁₁×SD₁₆	#41	1	4	yes	complemented
375	C₁₁×M₁₆	—	2	2	no	—
376	C₁₁×M₁₆	—	4	1	no	—
377	C₂×C₈×C₁₁	—	2	4	no	—
378	C₂×C₈×C₁₁	—	4	2	no	—
379	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
380	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
381	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
382	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
383	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
384	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
385	C₁₁×C₄⋊C₄	—	2	1	no	—
386	C₁₁×C₄⋊C₄	—	2	1	no	—
387	C₁₁×C₄⋊C₄	—	2	2	no	—
388	C₁₁×C₄⋊C₄	—	2	2	no	—
389	C₁₁×C₄⋊C₄	—	2	1	no	—
390	C₁₁×C₄⋊C₄	—	2	2	no	—
391	C₁₁×C₄⋊C₄	—	2	1	no	—
392	C₁₁×C₄⋊C₄	—	2	2	no	—
393	C₁₁×C₄⋊C₄	—	2	1	no	—
394	C₁₁×C₄⋊C₄	—	2	2	no	—
395	C₁₁×C₄⋊C₄	—	2	1	no	—
396	C₁₁×C₄⋊C₄	—	2	2	no	—
397	C₁₁×C₄⋊C₄	—	2	2	no	—
398	C₁₁×C₄⋊C₄	—	2	1	no	—
399	C₁₁×C₄⋊C₄	—	2	2	no	—
400	C₁₁×C₄⋊C₄	—	2	1	no	—
401	C₁₁×C₄⋊C₄	—	2	1	no	—
402	C₁₁×C₄⋊C₄	—	2	1	no	—
403	C₁₁×C₄⋊C₄	—	2	2	no	—
404	C₁₁×C₄⋊C₄	—	2	2	no	—
405	C₁₁×C₄⋊C₄	—	2	2	no	—
406	C₁₁×C₄⋊C₄	—	2	1	no	—
407	C₁₁×C₄⋊C₄	—	2	2	no	—
408	C₁₁×C₄⋊C₄	—	2	2	no	—
409	C₁₁×C₄⋊C₄	—	2	2	no	—
410	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
411	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
412	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
413	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
414	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
415	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
416	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
417	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
418	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
419	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
420	C₁₁×C₂²⋊C₄	—	2	2	no	—
421	C₁₁×C₂²⋊C₄	—	2	2	no	—
422	C₁₁×C₂²⋊C₄	—	2	2	no	—
423	C₁₁×C₂²⋊C₄	—	2	2	no	—
424	C₁₁×C₂²⋊C₄	—	2	1	no	—
425	C₁₁×C₂²⋊C₄	—	2	1	no	—
426	C₁₁×C₂²⋊C₄	—	2	2	no	—
427	C₁₁×C₂²⋊C₄	—	2	2	no	—
428	C₁₁×C₂²⋊C₄	—	2	2	no	—
429	C₁₁×C₂²⋊C₄	—	2	2	no	—
430	C₁₁×C₂²⋊C₄	—	2	2	no	—
431	C₁₁×C₂²⋊C₄	—	2	1	no	—
432	C₁₁×C₂²⋊C₄	—	2	2	no	—
433	C₁₁×C₂²⋊C₄	—	2	2	no	—
434	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
435	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
436	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
437	C₄²×C₁₁	—	2	1	no	—
438	C₄²×C₁₁	—	2	1	no	—
439	C₄²×C₁₁	—	2	2	no	—
440	C₄²×C₁₁	—	2	1	no	—
441	C₄²×C₁₁	—	2	1	no	—
442	C₄²×C₁₁	—	2	1	no	—
443	C₄²×C₁₁	—	2	2	no	—
444	C₄²×C₁₁	—	2	1	no	—
445	C₄²×C₁₁	—	2	2	no	—
446	C₄²×C₁₁	—	2	1	no	—
447	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
448	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
449	C₄²×C₁₁	C₂×D₄	1	2	yes	—
450	C₄²×C₁₁	C₂×D₄	1	2	yes	—
451	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
452	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
453	C₄²×C₁₁	C₂⁴	1	2	yes	—
454	#3481	C₂×C₁₁	1	1	yes	characteristic
455	Q₈×#41	C₂×C₁₁	1	1	yes	characteristic, complemented
456	#3400	C₂×C₁₁	1	1	yes	characteristic, complemented
457	#3385	C₂×C₁₁	1	1	yes	characteristic, complemented
458	#3375	C₂×C₁₁	1	1	yes	characteristic, complemented
459	#3372	C₂×C₁₁	1	1	yes	characteristic, complemented
460	#3346	C₂×C₁₁	1	2	yes	complemented
461	#3338	C₂×C₁₁	1	1	yes	characteristic, complemented
462	#3320	C₂×C₁₁	1	2	yes	complemented
463	#3314	C₂×C₁₁	1	2	yes	complemented
464	#3299	C₂×C₁₁	1	1	yes	characteristic, complemented
465	#3295	C₂×C₁₁	1	1	yes	characteristic, complemented
466	D₄×SD₁₆	C₂×C₁₁	1	1	yes	characteristic, complemented
467	#3266	C₂×C₁₁	1	2	yes	complemented
468	#3182	C₂×C₁₁	1	1	yes	characteristic, complemented
469	#3181	C₂×C₁₁	1	2	yes	complemented
470	#3117	C₂×C₁₁	1	2	yes	complemented
471	#3116	C₂×C₁₁	1	1	yes	characteristic, complemented
472	#3112	C₂×C₁₁	1	1	yes	characteristic, complemented
473	#3110	C₂×C₁₁	1	2	yes	complemented
474	#2970	C₂×C₁₁	1	1	yes	characteristic, complemented
475	C₄×#137	C₂×C₁₁	1	1	yes	characteristic, complemented
476	C₂×#440	C₂×C₁₁	1	2	yes	complemented
477	C₂³×C₁₁	—	2	1	no	—
478	C₂³×C₁₁	—	2	2	no	—
479	C₂³×C₁₁	—	4	4	no	—
480	C₂³×C₁₁	—	4	4	no	—
481	C₂³×C₁₁	—	8	2	no	—
482	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
483	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
484	Q₈×C₁₁	—	2	2	no	—
485	Q₈×C₁₁	—	2	1	no	—
486	Q₈×C₁₁	—	2	2	no	—
487	Q₈×C₁₁	—	2	1	no	—
488	Q₈×C₁₁	—	2	1	no	—
489	Q₈×C₁₁	—	2	1	no	—
490	Q₈×C₁₁	—	2	2	no	—
491	Q₈×C₁₁	—	2	1	no	—
492	Q₈×C₁₁	—	4	2	no	—
493	Q₈×C₁₁	—	4	4	no	—
494	Q₈×C₁₁	—	8	2	no	—
495	Q₈×C₁₁	—	8	1	no	—
496	Q₈×C₁₁	—	8	1	no	—
497	Q₈×C₁₁	C₂×#41	1	2	yes	—
498	D₄×C₁₁	—	2	4	no	—
499	D₄×C₁₁	—	2	2	no	—
500	D₄×C₁₁	—	2	1	no	—
501	D₄×C₁₁	—	2	2	no	—
502	D₄×C₁₁	—	4	4	no	—
503	D₄×C₁₁	—	4	2	no	—
504	D₄×C₁₁	—	4	4	no	—
505	D₄×C₁₁	—	4	2	no	—
506	D₄×C₁₁	—	8	1	no	—
507	D₄×C₁₁	—	8	2	no	—
508	D₄×C₁₁	#137	1	4	yes	complemented
509	D₄×C₁₁	C₂×#41	1	2	yes	—
510	C₂×C₄×C₁₁	—	2	4	no	—
511	C₂×C₄×C₁₁	—	2	1	no	—
512	C₂×C₄×C₁₁	—	2	2	no	—
513	C₂×C₄×C₁₁	—	2	2	no	—
514	C₂×C₄×C₁₁	—	2	1	no	—
515	C₂×C₄×C₁₁	—	2	2	no	—
516	C₂×C₄×C₁₁	—	2	1	no	—
517	C₂×C₄×C₁₁	—	2	1	no	—
518	C₂×C₄×C₁₁	—	2	1	no	—
519	C₂×C₄×C₁₁	—	2	1	no	—
520	C₂×C₄×C₁₁	—	2	1	no	—
521	C₂×C₄×C₁₁	—	2	2	no	—
522	C₂×C₄×C₁₁	—	2	1	no	—
523	C₂×C₄×C₁₁	—	2	2	no	—
524	C₂×C₄×C₁₁	—	2	1	no	—
525	C₂×C₄×C₁₁	—	2	2	no	—
526	C₂×C₄×C₁₁	—	4	2	no	—
527	C₂×C₄×C₁₁	—	4	1	no	—
528	C₂×C₄×C₁₁	—	4	4	no	—
529	C₂×C₄×C₁₁	—	4	2	no	—
530	C₂×C₄×C₁₁	—	4	2	no	—
531	C₂×C₄×C₁₁	—	4	2	no	—
532	C₂×C₄×C₁₁	—	4	4	no	—
533	C₂×C₄×C₁₁	—	4	2	no	—
534	C₂×C₄×C₁₁	—	8	2	no	—
535	C₂×C₄×C₁₁	—	8	2	no	—
536	C₂×C₄×C₁₁	—	8	2	no	—
537	C₂×C₄×C₁₁	—	8	1	no	—
538	C₂×C₄×C₁₁	—	8	2	no	—
539	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
540	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
541	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
542	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
543	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
544	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
545	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
546	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
547	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
548	C₈×C₁₁	—	2	2	no	—
549	C₈×C₁₁	—	2	1	no	—
550	C₈×C₁₁	—	2	1	no	—
551	C₈×C₁₁	—	2	2	no	—
552	C₈×C₁₁	—	2	1	no	—
553	C₈×C₁₁	C₂×#41	1	2	yes	—
554	C₂×#137	C₂²×C₁₁	1	1	yes	characteristic
555	C₂²×SD₁₆	C₂²×C₁₁	1	2	yes	—
556	#559	C₂²×C₁₁	1	1	yes	characteristic
557	Q₈²	C₂²×C₁₁	1	1	yes	characteristic, complemented
558	#557	—	2	1	no	—
559	#557	C₂²×C₁₁	1	1	yes	characteristic, complemented
560	#554	—	2	1	no	—
561	#554	—	2	2	no	—
562	#554	C₂²×C₁₁	1	1	yes	characteristic
563	#554	C₂²×C₁₁	1	1	yes	characteristic
564	#554	C₂²×C₁₁	1	1	yes	characteristic
565	#554	C₂²×C₁₁	1	2	yes	complemented
566	#553	—	2	1	no	—
567	#553	C₂²×C₁₁	1	2	yes	—
568	#551	—	2	2	no	—
569	D₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
570	D₄×Q₈	C₂²×C₁₁	1	2	yes	complemented
571	#546	—	2	1	no	—
572	#546	C₂²×C₁₁	1	2	yes	—
573	D₄²	C₂²×C₁₁	1	1	yes	characteristic
574	#533	—	2	2	no	—
575	#533	—	2	1	no	—
576	#533	C₂²×C₁₁	1	2	yes	complemented
577	#533	C₂²×C₁₁	1	1	yes	characteristic, complemented
578	#532	C₂²×C₁₁	1	1	yes	characteristic
579	#529	—	2	1	no	—
580	#529	C₂²×C₁₁	1	2	yes	—
581	#525	—	2	2	no	—
582	C₄×#41	—	2	1	no	—
583	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
584	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
585	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
586	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	complemented
587	C₂×C₄×D₄	—	2	1	no	—
588	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
589	#501	C₂²×C₁₁	1	2	yes	complemented
590	#500	C₂²×C₁₁	1	1	yes	characteristic, complemented
591	#497	C₂²×C₁₁	1	2	yes	complemented
592	#492	C₂²×C₁₁	1	1	yes	characteristic
593	#491	C₂²×C₁₁	1	2	yes	complemented
594	#489	C₂²×C₁₁	1	2	yes	complemented
595	#487	C₂²×C₁₁	1	1	yes	characteristic, complemented
596	#486	C₂²×C₁₁	1	1	yes	characteristic
597	#485	C₂²×C₁₁	1	2	yes	complemented
598	#484	C₂²×C₁₁	1	2	yes	complemented
599	#484	C₂²×C₁₁	1	2	yes	complemented
600	#484	C₂²×C₁₁	1	2	yes	complemented
601	#481	C₂²×C₁₁	1	2	yes	—
602	#480	C₂²×C₁₁	1	2	yes	complemented
603	#479	C₂²×C₁₁	1	2	yes	complemented
604	#479	C₂²×C₁₁	1	2	yes	complemented
605	#477	C₂²×C₁₁	1	1	yes	characteristic, complemented
606	#477	C₂²×C₁₁	1	1	yes	characteristic, complemented
607	#477	C₂²×C₁₁	1	1	yes	characteristic, complemented
608	#476	C₂²×C₁₁	1	1	yes	characteristic
609	#474	C₂²×C₁₁	1	2	yes	—
610	#474	C₂²×C₁₁	1	2	yes	complemented
611	#468	C₂²×C₁₁	1	2	yes	complemented
612	#468	C₂²×C₁₁	1	2	yes	complemented
613	#467	C₂²×C₁₁	1	2	yes	complemented
614	#467	C₂²×C₁₁	1	2	yes	complemented
615	#465	C₂²×C₁₁	1	2	yes	—
616	#465	C₂²×C₁₁	1	2	yes	—
617	#464	C₂²×C₁₁	1	2	yes	complemented
618	#464	C₂²×C₁₁	1	2	yes	complemented
619	#462	C₂²×C₁₁	1	1	yes	characteristic, complemented
620	#461	C₂²×C₁₁	1	2	yes	—
621	#461	C₂²×C₁₁	1	1	yes	characteristic
622	#461	C₂²×C₁₁	1	2	yes	complemented
623	#460	C₂²×C₁₁	1	1	yes	characteristic
624	#460	C₂²×C₁₁	1	1	yes	characteristic
625	#452	C₂²×C₁₁	1	2	yes	—
626	#451	C₂²×C₁₁	1	2	yes	complemented
627	#450	C₂²×C₁₁	1	2	yes	—
628	#450	C₂²×C₁₁	1	2	yes	—
629	#448	C₂²×C₁₁	1	2	yes	—
630	#448	C₂²×C₁₁	1	2	yes	complemented
631	#446	C₂²×C₁₁	1	1	yes	characteristic, complemented
632	#446	C₂²×C₁₁	1	1	yes	characteristic, complemented
633	#441	C₂²×C₁₁	1	2	yes	complemented
634	#441	C₂²×C₁₁	1	1	yes	characteristic, complemented
635	#441	C₂²×C₁₁	1	1	yes	characteristic, complemented
636	#440	C₂²×C₁₁	1	1	yes	characteristic
637	#440	C₂²×C₁₁	1	2	yes	—
638	#440	C₂²×C₁₁	1	2	yes	—
639	#440	C₂²×C₁₁	1	2	yes	—
640	#440	C₂²×C₁₁	1	1	yes	characteristic
641	#440	C₂²×C₁₁	1	2	yes	complemented
642	#440	C₂²×C₁₁	1	2	yes	complemented
643	#440	C₂²×C₁₁	1	2	yes	complemented
644	#440	C₂²×C₁₁	1	2	yes	complemented
645	#440	C₂²×C₁₁	1	2	yes	complemented
646	#440	C₂²×C₁₁	1	2	yes	complemented
647	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
648	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
649	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
650	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
651	#435	C₂²×C₁₁	1	2	yes	complemented
652	#435	C₂²×C₁₁	1	2	yes	complemented
653	C₈×D₄	C₂²×C₁₁	1	1	yes	characteristic
654	C₈×D₄	C₂²×C₁₁	1	1	yes	characteristic
655	#432	C₂²×C₁₁	1	2	yes	complemented
656	#432	C₂²×C₁₁	1	1	yes	characteristic, complemented
657	#428	C₂²×C₁₁	1	1	yes	characteristic, complemented
658	C₂×#107	C₂²×C₁₁	1	2	yes	complemented
659	#419	C₂²×C₁₁	1	1	yes	characteristic, complemented
660	#417	C₂²×C₁₁	1	1	yes	characteristic
661	C₂×#103	C₂²×C₁₁	1	2	yes	complemented
662	C₂×#102	C₂²×C₁₁	1	2	yes	—
663	C₄×M₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
664	C₂×#97	C₂²×C₁₁	1	2	yes	complemented
665	C₂²×C₁₁	—	2	2	no	—
666	C₂²×C₁₁	—	2	2	no	—
667	C₂²×C₁₁	—	2	1	no	—
668	C₂²×C₁₁	—	2	1	no	—
669	C₂²×C₁₁	—	2	2	no	—
670	C₂²×C₁₁	—	2	1	no	—
671	C₂²×C₁₁	—	4	1	no	—
672	C₂²×C₁₁	—	4	1	no	—
673	C₂²×C₁₁	—	4	2	no	—
674	C₂²×C₁₁	—	4	2	no	—
675	C₂²×C₁₁	—	4	2	no	—
676	C₂²×C₁₁	—	8	8	no	—
677	C₂²×C₁₁	C₂×#137	1	4	yes	—
678	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
679	C₄×C₁₁	—	2	1	no	—
680	C₄×C₁₁	—	2	2	no	—
681	C₄×C₁₁	—	2	1	no	—
682	C₄×C₁₁	—	2	1	no	—
683	C₄×C₁₁	—	2	2	no	—
684	C₄×C₁₁	—	2	2	no	—
685	C₄×C₁₁	—	2	1	no	—
686	C₄×C₁₁	—	2	2	no	—
687	C₄×C₁₁	—	4	1	no	—
688	C₄×C₁₁	—	4	2	no	—
689	C₄×C₁₁	—	4	1	no	—
690	C₄×C₁₁	—	4	2	no	—
691	C₄×C₁₁	—	4	1	no	—
692	C₄×C₁₁	—	4	1	no	—
693	C₄×C₁₁	—	4	2	no	—
694	C₄×C₁₁	—	4	1	no	—
695	C₄×C₁₁	—	4	1	no	—
696	C₄×C₁₁	C₂×#137	1	2	yes	—
697	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
698	C₄×C₁₁	#585	1	1	yes	characteristic
699	C₂×#41	—	2	1	no	—
700	C₂×#41	D₄×C₁₁	1	1	yes	characteristic
701	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
702	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
703	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
704	C₂²×D₄	—	2	1	no	—
705	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
706	C₂³×C₄	—	2	2	no	—
707	#137	—	2	4	no	—
708	C₂×Q₁₆	C₂³×C₁₁	1	1	yes	characteristic
709	C₂×Q₁₆	C₂³×C₁₁	1	1	yes	characteristic
710	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
711	C₂×SD₁₆	—	2	8	no	—
712	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
713	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
714	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
715	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
716	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
717	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
718	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
719	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
720	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
721	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
722	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
723	C₄⋊Q₈	—	2	1	no	—
724	C₄⋊Q₈	—	2	2	no	—
725	C₄⋊Q₈	—	2	1	no	—
726	C₄⋊Q₈	—	2	2	no	—
727	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
728	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
729	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
730	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
731	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
732	#127	C₂³×C₁₁	1	1	yes	characteristic
733	#126	—	2	2	no	—
734	#126	—	2	2	no	—
735	#125	—	2	1	no	—
736	#125	—	2	1	no	—
737	#125	—	2	2	no	—
738	#125	—	2	1	no	—
739	#125	—	2	2	no	—
740	#125	—	2	1	no	—
741	#125	—	2	2	no	—
742	#125	C₂³×C₁₁	1	2	yes	—
743	#124	—	2	1	no	—
744	#124	—	2	1	no	—
745	#124	C₂³×C₁₁	1	2	yes	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	—	2	2	no	—
749	#123	—	2	2	no	—
750	C₂²⋊Q₈	—	2	1	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	—	2	1	no	—
753	C₂²⋊Q₈	—	2	2	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	—	2	2	no	—
761	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
762	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
763	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
764	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
765	#121	—	2	2	no	—
766	#121	—	2	1	no	—
767	#121	—	2	1	no	—
768	#121	—	2	2	no	—
769	#121	C₂³×C₁₁	1	2	yes	—
770	#121	C₂³×C₁₁	1	2	yes	—
771	#120	—	2	2	no	—
772	#120	—	2	2	no	—
773	C₄×Q₈	—	2	1	no	—
774	C₄×Q₈	—	2	1	no	—
775	C₄×Q₈	—	2	1	no	—
776	C₄×Q₈	—	2	2	no	—
777	C₄×Q₈	—	2	1	no	—
778	C₄×Q₈	—	2	2	no	—
779	C₄×Q₈	—	2	1	no	—
780	C₄×Q₈	—	2	2	no	—
781	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
782	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
783	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
784	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
785	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
786	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
787	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
788	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
789	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
790	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
791	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
792	C₄×D₄	—	2	1	no	—
793	C₄×D₄	—	2	1	no	—
794	C₄×D₄	—	2	2	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	2	no	—
797	C₄×D₄	—	2	2	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	1	no	—
800	C₄×D₄	—	2	1	no	—
801	C₄×D₄	—	2	2	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	2	no	—
804	C₄×D₄	—	2	2	no	—
805	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
806	C₄×D₄	D₄×C₁₁	1	2	yes	—
807	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
808	C₄×D₄	C₂³×C₁₁	1	2	yes	—
809	C₄×D₄	C₂³×C₁₁	1	2	yes	—
810	C₄×D₄	C₂³×C₁₁	1	2	yes	—
811	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
812	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
813	C₄×D₄	C₂³×C₁₁	1	2	yes	—
814	#117	—	2	2	no	—
815	#117	—	2	1	no	—
816	#117	—	2	1	no	—
817	#117	—	2	2	no	—
818	#117	D₄×C₁₁	1	2	yes	—
819	#117	D₄×C₁₁	1	1	yes	characteristic
820	#117	C₂³×C₁₁	1	1	yes	characteristic
821	C₂×C₄⋊C₄	—	2	2	no	—
822	C₂×C₄⋊C₄	—	2	1	no	—
823	C₂×C₄⋊C₄	—	2	1	no	—
824	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
825	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
826	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
827	C₂×C₂²⋊C₄	—	2	2	no	—
828	C₂×C₂²⋊C₄	—	2	2	no	—
829	C₂×C₄²	—	2	2	no	—
830	C₂×C₄²	—	2	1	no	—
831	C₂×C₄²	—	2	1	no	—
832	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
833	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
834	#107	C₂³×C₁₁	1	1	yes	characteristic
835	#107	C₂³×C₁₁	1	2	yes	—
836	#107	C₂³×C₁₁	1	2	yes	—
837	#107	C₂³×C₁₁	1	2	yes	—
838	#107	C₂³×C₁₁	1	1	yes	characteristic
839	#107	C₂³×C₁₁	1	2	yes	—
840	#107	C₂³×C₁₁	1	2	yes	—
841	#106	C₂³×C₁₁	1	1	yes	characteristic
842	#106	C₂³×C₁₁	1	1	yes	characteristic
843	#106	C₂³×C₁₁	1	2	yes	—
844	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
845	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
846	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
847	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
848	#103	C₂³×C₁₁	1	1	yes	characteristic
849	#103	C₂³×C₁₁	1	2	yes	—
850	#103	C₂³×C₁₁	1	2	yes	—
851	#103	C₂³×C₁₁	1	2	yes	—
852	#103	C₂³×C₁₁	1	1	yes	characteristic
853	#103	C₂³×C₁₁	1	1	yes	characteristic
854	#103	C₂³×C₁₁	1	1	yes	characteristic
855	#103	C₂³×C₁₁	1	1	yes	characteristic
856	#103	C₂³×C₁₁	1	1	yes	characteristic
857	#103	C₂³×C₁₁	1	2	yes	—
858	#103	C₂³×C₁₁	1	2	yes	—
859	#103	C₂³×C₁₁	1	2	yes	—
860	#103	C₂³×C₁₁	1	2	yes	—
861	#102	C₂³×C₁₁	1	1	yes	characteristic
862	#102	C₂³×C₁₁	1	2	yes	—
863	#102	C₂³×C₁₁	1	2	yes	—
864	#102	C₂³×C₁₁	1	2	yes	—
865	#102	C₂³×C₁₁	1	1	yes	characteristic
866	#102	C₂³×C₁₁	1	2	yes	—
867	#102	C₂³×C₁₁	1	2	yes	—
868	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
869	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
870	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
871	#97	C₂³×C₁₁	1	1	yes	characteristic
872	#97	C₂³×C₁₁	1	2	yes	—
873	#97	C₂³×C₁₁	1	2	yes	—
874	#97	C₂³×C₁₁	1	2	yes	—
875	#97	C₂³×C₁₁	1	1	yes	characteristic
876	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
877	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
878	C₂×C₁₁	—	2	4	no	—
879	C₂×C₁₁	—	4	1	no	—
880	C₂×C₁₁	—	4	2	no	—
881	C₂×C₁₁	—	8	2	no	—
882	C₂×C₁₁	D₄×#41	1	1	yes	characteristic
883	C₂×C₁₁	C₂²×#137	1	1	yes	characteristic
884	C₂×C₁₁	#3585	1	1	yes	characteristic
885	C₂⁴	—	2	2	no	—
886	#41	—	2	4	no	—
887	#41	—	2	2	no	—
888	#41	—	4	1	no	—
889	#41	—	8	2	no	—
890	C₂×Q₈	—	2	1	no	—
891	C₂×Q₈	—	2	2	no	—
892	C₂×Q₈	—	2	2	no	—
893	C₂×Q₈	—	2	1	no	—
894	C₂×Q₈	—	2	1	no	—
895	C₂×Q₈	—	2	4	no	—
896	C₂×Q₈	—	2	2	no	—
897	C₂×Q₈	—	4	2	no	—
898	C₂×Q₈	—	4	1	no	—
899	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
900	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
901	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
902	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
903	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
904	C₂×D₄	—	2	4	no	—
905	C₂×D₄	—	2	1	no	—
906	C₂×D₄	—	2	2	no	—
907	C₂×D₄	—	2	2	no	—
908	C₂×D₄	—	2	2	no	—
909	C₂×D₄	—	2	1	no	—
910	C₂×D₄	—	2	1	no	—
911	C₂×D₄	—	4	2	no	—
912	C₂×D₄	—	4	4	no	—
913	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
914	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
915	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
916	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
917	C₂²×C₄	—	2	1	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	1	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	1	no	—
923	C₂²×C₄	—	2	1	no	—
924	C₂²×C₄	—	2	1	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	8	4	no	—
929	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
930	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
931	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
932	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
933	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
934	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
935	Q₁₆	—	2	2	no	—
936	Q₁₆	—	2	2	no	—
937	Q₁₆	—	4	2	no	—
938	SD₁₆	—	2	4	no	—
939	SD₁₆	—	2	4	no	—
940	SD₁₆	—	2	2	no	—
941	SD₁₆	—	2	4	no	—
942	SD₁₆	—	4	2	no	—
943	SD₁₆	—	4	2	no	—
944	SD₁₆	C₁₁×#41	1	4	yes	complemented
945	M₁₆	—	2	2	no	—
946	M₁₆	—	4	1	no	—
947	C₂×C₈	—	2	4	no	—
948	C₂×C₈	—	4	2	no	—
949	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
950	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
951	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
952	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
953	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
954	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
981	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
982	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
983	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
984	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
985	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
986	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
987	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
988	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
989	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	1	no	—
995	C₂²⋊C₄	—	2	1	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	1	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1005	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1006	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1007	C₄²	—	2	1	no	—
1008	C₄²	—	2	1	no	—
1009	C₄²	—	2	2	no	—
1010	C₄²	—	2	1	no	—
1011	C₄²	—	2	1	no	—
1012	C₄²	—	2	1	no	—
1013	C₄²	—	2	2	no	—
1014	C₄²	—	2	1	no	—
1015	C₄²	—	2	2	no	—
1016	C₄²	—	2	1	no	—
1017	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1018	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1019	C₄²	C₂×D₄×C₁₁	1	2	yes	—
1020	C₄²	C₂×D₄×C₁₁	1	2	yes	—
1021	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1022	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1023	C₄²	C₂⁴×C₁₁	1	2	yes	—
1024	C₁₁	#61453	1	1	yes	characteristic, direct product factor, Sylow
1025	C₂³	—	2	1	no	—
1026	C₂³	—	2	2	no	—
1027	C₂³	—	4	4	no	—
1028	C₂³	—	4	4	no	—
1029	C₂³	—	8	2	no	—
1030	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
1031	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
1032	Q₈	—	2	2	no	—
1033	Q₈	—	2	1	no	—
1034	Q₈	—	2	2	no	—
1035	Q₈	—	2	1	no	—
1036	Q₈	—	2	1	no	—
1037	Q₈	—	2	1	no	—
1038	Q₈	—	2	2	no	—
1039	Q₈	—	2	1	no	—
1040	Q₈	—	4	2	no	—
1041	Q₈	—	4	4	no	—
1042	Q₈	—	8	2	no	—
1043	Q₈	—	8	1	no	—
1044	Q₈	—	8	1	no	—
1045	Q₈	C₂×C₁₁×#41	1	2	yes	—
1046	D₄	—	2	4	no	—
1047	D₄	—	2	2	no	—
1048	D₄	—	2	1	no	—
1049	D₄	—	2	2	no	—
1050	D₄	—	4	4	no	—
1051	D₄	—	4	2	no	—
1052	D₄	—	4	4	no	—
1053	D₄	—	4	2	no	—
1054	D₄	—	8	1	no	—
1055	D₄	—	8	2	no	—
1056	D₄	C₁₁×#137	1	4	yes	complemented
1057	D₄	C₂×C₁₁×#41	1	2	yes	—
1058	C₂×C₄	—	2	4	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	4	2	no	—
1075	C₂×C₄	—	4	1	no	—
1076	C₂×C₄	—	4	4	no	—
1077	C₂×C₄	—	4	2	no	—
1078	C₂×C₄	—	4	2	no	—
1079	C₂×C₄	—	4	2	no	—
1080	C₂×C₄	—	4	4	no	—
1081	C₂×C₄	—	4	2	no	—
1082	C₂×C₄	—	8	2	no	—
1083	C₂×C₄	—	8	2	no	—
1084	C₂×C₄	—	8	2	no	—
1085	C₂×C₄	—	8	1	no	—
1086	C₂×C₄	—	8	2	no	—
1087	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1088	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1089	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1090	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1091	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1092	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1093	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1094	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1095	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
1096	C₈	—	2	2	no	—
1097	C₈	—	2	1	no	—
1098	C₈	—	2	1	no	—
1099	C₈	—	2	2	no	—
1100	C₈	—	2	1	no	—
1101	C₈	C₂×C₁₁×#41	1	2	yes	—
1102	C₂²	—	2	2	no	—
1103	C₂²	—	2	2	no	—
1104	C₂²	—	2	1	no	—
1105	C₂²	—	2	2	no	—
1106	C₂²	—	2	1	no	—
1107	C₂²	—	2	1	no	—
1108	C₂²	—	4	1	no	—
1109	C₂²	—	4	1	no	—
1110	C₂²	—	4	2	no	—
1111	C₂²	—	4	2	no	—
1112	C₂²	—	4	2	no	—
1113	C₂²	—	8	8	no	—
1114	C₂²	C₂×C₁₁×#137	1	4	yes	—
1115	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
1116	C₄	—	2	1	no	—
1117	C₄	—	2	2	no	—
1118	C₄	—	2	2	no	—
1119	C₄	—	2	1	no	—
1120	C₄	—	2	2	no	—
1121	C₄	—	2	1	no	—
1122	C₄	—	2	2	no	—
1123	C₄	—	2	1	no	—
1124	C₄	—	4	1	no	—
1125	C₄	—	4	2	no	—
1126	C₄	—	4	1	no	—
1127	C₄	—	4	1	no	—
1128	C₄	—	4	1	no	—
1129	C₄	—	4	2	no	—
1130	C₄	—	4	1	no	—
1131	C₄	—	4	2	no	—
1132	C₄	—	4	1	no	—
1133	C₄	C₂×C₁₁×#137	1	2	yes	—
1134	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
1135	C₄	C₁₁×#585	1	1	yes	characteristic
1136	C₂	—	2	4	no	—
1137	C₂	—	4	1	no	—
1138	C₂	—	4	2	no	—
1139	C₂	—	8	2	no	—
1140	C₂	D₄×C₁₁×#41	1	1	yes	characteristic
1141	C₂	C₂²×C₁₁×#137	1	1	yes	characteristic
1142	C₂	C₁₁×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
prime radical	C₁₁×#3481	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₄×C₁₁×#41 ◁ G

Complements

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

N	H ≅ G/N	type
2. Q₈×C₁₁×#41	C₂	semidirect
3. C₁₁×#3400	C₂	semidirect
4. C₁₁×#3385	C₂	semidirect
5. C₁₁×#3375	C₂	semidirect
6. C₁₁×#3372	C₂	semidirect
7. C₁₁×#3346	C₂	semidirect
8. C₁₁×#3338	C₂	semidirect
9. C₁₁×#3320	C₂	semidirect
10. C₁₁×#3314	C₂	semidirect
11. C₁₁×#3299	C₂	semidirect
12. C₁₁×#3295	C₂	semidirect
13. D₄×C₁₁×SD₁₆	C₂	semidirect
14. C₁₁×#3266	C₂	semidirect
15. C₁₁×#3182	C₂	semidirect
16. C₁₁×#3181	C₂	semidirect
17. C₁₁×#3117	C₂	semidirect
18. C₁₁×#3116	C₂	semidirect
19. C₁₁×#3112	C₂	semidirect
20. C₁₁×#3110	C₂	semidirect
21. C₁₁×#2970	C₂	semidirect
22. C₄×C₁₁×#137	C₂	semidirect
23. C₂×C₁₁×#440	C₂	semidirect
27. Q₈²×C₁₁	C₂²	semidirect
29. C₁₁×#557	C₂²	semidirect
35. C₁₁×#554	C₂²	semidirect
40. D₄×Q₈×C₁₁	C₂²	semidirect
46. C₁₁×#533	C₂²	semidirect
47. C₁₁×#533	C₂²	semidirect
55. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
56. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
59. C₁₁×#501	C₂²	semidirect
60. C₁₁×#500	C₂²	semidirect
61. C₁₁×#497	C₂²	semidirect
63. C₁₁×#491	C₂²	semidirect
64. C₁₁×#489	C₂²	semidirect
65. C₁₁×#487	C₂²	semidirect
67. C₁₁×#485	C₂²	semidirect
68. C₁₁×#484	C₂²	semidirect
69. C₁₁×#484	C₂²	semidirect
70. C₁₁×#484	C₂²	semidirect
72. C₁₁×#480	C₂²	semidirect
73. C₁₁×#479	C₂²	semidirect
74. C₁₁×#479	C₂²	semidirect
75. C₁₁×#477	C₂²	semidirect
76. C₁₁×#477	C₂²	semidirect
77. C₁₁×#477	C₂²	semidirect
80. C₁₁×#474	C₂²	semidirect
81. C₁₁×#468	C₂²	semidirect
82. C₁₁×#468	C₂²	semidirect
83. C₁₁×#467	C₂²	semidirect
84. C₁₁×#467	C₂²	semidirect
87. C₁₁×#464	C₂²	semidirect
88. C₁₁×#464	C₂²	semidirect
89. C₁₁×#462	C₂²	semidirect
92. C₁₁×#461	C₂²	semidirect
96. C₁₁×#451	C₂²	semidirect
100. C₁₁×#448	C₂²	semidirect
101. C₁₁×#446	C₂²	semidirect
102. C₁₁×#446	C₂²	semidirect
103. C₁₁×#441	C₂²	semidirect
104. C₁₁×#441	C₂²	semidirect
105. C₁₁×#441	C₂²	semidirect
111. C₁₁×#440	C₂²	semidirect
112. C₁₁×#440	C₂²	semidirect
113. C₁₁×#440	C₂²	semidirect
114. C₁₁×#440	C₂²	semidirect
115. C₁₁×#440	C₂²	semidirect
116. C₁₁×#440	C₂²	semidirect
117. C₄×C₁₁×Q₁₆	C₂²	semidirect
118. C₄×C₁₁×Q₁₆	C₂²	semidirect
121. C₁₁×#435	C₂²	semidirect
122. C₁₁×#435	C₂²	semidirect
125. C₁₁×#432	C₂²	semidirect
126. C₁₁×#432	C₂²	semidirect
127. C₁₁×#428	C₂²	semidirect
128. C₂×C₁₁×#107	C₂²	semidirect
129. C₁₁×#419	C₂²	semidirect
131. C₂×C₁₁×#103	C₂²	semidirect
133. C₄×C₁₁×M₁₆	C₂²	semidirect
134. C₂×C₁₁×#97	C₂²	semidirect
314. #61453	C₁₁	direct (N × H)
374. C₁₁×SD₁₆	#41	semidirect
455. Q₈×#41	C₂×C₁₁	semidirect
456. #3400	C₂×C₁₁	semidirect
457. #3385	C₂×C₁₁	semidirect
458. #3375	C₂×C₁₁	semidirect
459. #3372	C₂×C₁₁	semidirect
460. #3346	C₂×C₁₁	semidirect
461. #3338	C₂×C₁₁	semidirect
462. #3320	C₂×C₁₁	semidirect
463. #3314	C₂×C₁₁	semidirect
464. #3299	C₂×C₁₁	semidirect
465. #3295	C₂×C₁₁	semidirect
466. D₄×SD₁₆	C₂×C₁₁	semidirect
467. #3266	C₂×C₁₁	semidirect
468. #3182	C₂×C₁₁	semidirect
469. #3181	C₂×C₁₁	semidirect
470. #3117	C₂×C₁₁	semidirect
471. #3116	C₂×C₁₁	semidirect
472. #3112	C₂×C₁₁	semidirect
473. #3110	C₂×C₁₁	semidirect
474. #2970	C₂×C₁₁	semidirect
475. C₄×#137	C₂×C₁₁	semidirect
476. C₂×#440	C₂×C₁₁	semidirect
508. D₄×C₁₁	#137	semidirect
557. Q₈²	C₂²×C₁₁	semidirect
559. #557	C₂²×C₁₁	semidirect
565. #554	C₂²×C₁₁	semidirect
570. D₄×Q₈	C₂²×C₁₁	semidirect
576. #533	C₂²×C₁₁	semidirect
577. #533	C₂²×C₁₁	semidirect
585. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
586. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
589. #501	C₂²×C₁₁	semidirect
590. #500	C₂²×C₁₁	semidirect
591. #497	C₂²×C₁₁	semidirect
593. #491	C₂²×C₁₁	semidirect
594. #489	C₂²×C₁₁	semidirect
595. #487	C₂²×C₁₁	semidirect
597. #485	C₂²×C₁₁	semidirect
598. #484	C₂²×C₁₁	semidirect
599. #484	C₂²×C₁₁	semidirect
600. #484	C₂²×C₁₁	semidirect
602. #480	C₂²×C₁₁	semidirect
603. #479	C₂²×C₁₁	semidirect
604. #479	C₂²×C₁₁	semidirect
605. #477	C₂²×C₁₁	semidirect
606. #477	C₂²×C₁₁	semidirect
607. #477	C₂²×C₁₁	semidirect
610. #474	C₂²×C₁₁	semidirect
611. #468	C₂²×C₁₁	semidirect
612. #468	C₂²×C₁₁	semidirect
613. #467	C₂²×C₁₁	semidirect
614. #467	C₂²×C₁₁	semidirect
617. #464	C₂²×C₁₁	semidirect
618. #464	C₂²×C₁₁	semidirect
619. #462	C₂²×C₁₁	semidirect
622. #461	C₂²×C₁₁	semidirect
626. #451	C₂²×C₁₁	semidirect
630. #448	C₂²×C₁₁	semidirect
631. #446	C₂²×C₁₁	semidirect
632. #446	C₂²×C₁₁	semidirect
633. #441	C₂²×C₁₁	semidirect
634. #441	C₂²×C₁₁	semidirect
635. #441	C₂²×C₁₁	semidirect
641. #440	C₂²×C₁₁	semidirect
642. #440	C₂²×C₁₁	semidirect
643. #440	C₂²×C₁₁	semidirect
644. #440	C₂²×C₁₁	semidirect
645. #440	C₂²×C₁₁	semidirect
646. #440	C₂²×C₁₁	semidirect
647. C₄×Q₁₆	C₂²×C₁₁	semidirect
648. C₄×Q₁₆	C₂²×C₁₁	semidirect
651. #435	C₂²×C₁₁	semidirect
652. #435	C₂²×C₁₁	semidirect
655. #432	C₂²×C₁₁	semidirect
656. #432	C₂²×C₁₁	semidirect
657. #428	C₂²×C₁₁	semidirect
658. C₂×#107	C₂²×C₁₁	semidirect
659. #419	C₂²×C₁₁	semidirect
661. C₂×#103	C₂²×C₁₁	semidirect
663. C₄×M₁₆	C₂²×C₁₁	semidirect
664. C₂×#97	C₂²×C₁₁	semidirect
944. SD₁₆	C₁₁×#41	semidirect
1024. C₁₁	#61453	direct (N × H)
1056. D₄	C₁₁×#137	semidirect

Maximal subgroups

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

subgroup	index
C₁₁×#3481	2
Q₈×C₁₁×#41	2
C₁₁×#3400	2
C₁₁×#3385	2
C₁₁×#3375	2
C₁₁×#3372	2
C₁₁×#3346	2
C₁₁×#3338	2
C₁₁×#3320	2
C₁₁×#3314	2
C₁₁×#3299	2
C₁₁×#3295	2
D₄×C₁₁×SD₁₆	2
C₁₁×#3266	2
C₁₁×#3182	2
C₁₁×#3181	2
C₁₁×#3117	2
C₁₁×#3116	2
C₁₁×#3112	2
C₁₁×#3110	2
C₁₁×#2970	2
C₄×C₁₁×#137	2
C₂×C₁₁×#440	2
#61453	11

Subgroups — C11×#61453 #14638646

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61453 #14638646