Subgroups — C₁₁×#61329 #14638522

Order 2816.

1896 conjugacy classes of subgroups.

The subgroup lattice has 878 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3508	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3503	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3375	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3373	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3368	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3366	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3365	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3362	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3361	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3358	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3136	C₂	1	2	yes	maximal, complemented
12	C₂×C₁₁×#486	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3081	C₂	1	2	yes	maximal, complemented
14	C₁₁×#3079	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#3045	C₂	1	2	yes	maximal, complemented
16	C₁₁×#3038	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#2960	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₁×#2946	C₂	1	2	yes	maximal, complemented
19	C₄×C₁₁×#135	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	—
21	C₂×C₁₁×#135	C₂²	1	1	yes	characteristic
22	C₁₁×#559	C₂²	1	2	yes	—
23	C₁₁×#559	C₂²	1	2	yes	—
24	Q₈²×C₁₁	C₂²	1	2	yes	complemented
25	C₁₁×#557	C₂²	1	2	yes	complemented
26	C₁₁×#554	—	2	2	no	—
27	C₁₁×#554	C₂²	1	2	yes	complemented
28	C₁₁×#550	C₂²	1	2	yes	—
29	C₁₁×#550	C₂²	1	2	yes	—
30	D₄×Q₈×C₁₁	—	2	2	no	—
31	D₄×Q₈×C₁₁	C₂²	1	2	yes	complemented
32	C₁₁×#546	—	2	2	no	—
33	C₁₁×#546	—	2	2	no	—
34	C₁₁×#544	—	2	2	no	—
35	C₁₁×#544	C₂²	1	2	yes	—
36	C₁₁×#540	—	2	2	no	—
37	C₁₁×#535	C₂²	1	2	yes	—
38	C₁₁×#533	—	2	1	no	—
39	C₁₁×#533	C₂²	1	1	yes	characteristic
40	C₁₁×#532	—	2	1	no	—
41	C₁₁×#532	—	2	1	no	—
42	C₂×C₁₁×C₄⋊Q₈	—	2	1	no	—
43	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
44	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic
45	C₁₁×#520	C₂²	1	2	yes	—
46	C₁₁×#518	C₂²	1	2	yes	—
47	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
48	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
49	C₁₁×#490	C₂²	1	4	yes	complemented
50	C₁₁×#489	C₂²	1	4	yes	complemented
51	C₁₁×#488	C₂²	1	4	yes	complemented
52	C₁₁×#486	C₂²	1	2	yes	—
53	C₁₁×#486	C₂²	1	2	yes	—
54	C₁₁×#486	C₂²	1	2	yes	—
55	C₁₁×#486	C₂²	1	2	yes	—
56	C₁₁×#486	C₂²	1	4	yes	complemented
57	C₁₁×#478	C₂²	1	4	yes	complemented
58	C₁₁×#478	C₂²	1	4	yes	complemented
59	C₁₁×#477	C₂²	1	2	yes	complemented
60	C₁₁×#476	C₂²	1	2	yes	complemented
61	C₁₁×#476	C₂²	1	4	yes	complemented
62	C₁₁×#475	C₂²	1	2	yes	complemented
63	C₁₁×#474	C₂²	1	2	yes	complemented
64	C₁₁×#474	C₂²	1	4	yes	complemented
65	C₁₁×#464	C₂²	1	4	yes	complemented
66	C₁₁×#463	C₂²	1	4	yes	complemented
67	C₁₁×#460	C₂²	1	2	yes	—
68	C₁₁×#460	C₂²	1	2	yes	—
69	C₁₁×#460	C₂²	1	4	yes	complemented
70	C₁₁×#459	C₂²	1	2	yes	—
71	C₁₁×#459	C₂²	1	2	yes	—
72	C₁₁×#459	C₂²	1	4	yes	complemented
73	C₁₁×#446	C₂²	1	2	yes	complemented
74	C₁₁×#446	C₂²	1	2	yes	complemented
75	C₈×Q₈×C₁₁	C₂²	1	2	yes	complemented
76	C₈×Q₈×C₁₁	C₂²	1	2	yes	complemented
77	C₁₁×#442	C₂²	1	4	yes	complemented
78	C₁₁×#440	C₂²	1	4	yes	complemented
79	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic, complemented
80	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic, complemented
81	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic, complemented
82	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic, complemented
83	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic, complemented
84	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic, complemented
85	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
86	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic, complemented
87	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic, complemented
88	C₄×C₁₁×D₈	C₂²	1	4	yes	complemented
89	C₁₁×#428	C₂²	1	2	yes	—
90	C₁₁×#427	C₂²	1	1	yes	characteristic
91	C₁₁×#424	C₂²	1	2	yes	—
92	C₁₁×#423	C₂²	1	1	yes	characteristic
93	C₁₁×#418	C₂²	1	2	yes	—
94	C₁₁×#417	C₂²	1	2	yes	—
95	C₁₁×#416	C₂²	1	1	yes	characteristic
96	C₁₁×#416	C₂²	1	1	yes	characteristic
97	C₂×C₁₁×#102	C₂²	1	2	yes	—
98	C₂×C₁₁×#102	C₂²	1	2	yes	—
99	C₁₁×#405	C₂²	1	2	yes	—
100	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
101	C₂×C₁₁×#41	—	2	2	no	—
102	C₂×C₁₁×#41	—	2	2	no	—
103	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
104	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
105	C₂²×Q₈×C₁₁	—	2	2	no	—
106	C₂²×Q₈×C₁₁	—	2	1	no	—
107	C₂²×D₄×C₁₁	—	2	1	no	—
108	C₂²×D₄×C₁₁	—	2	1	no	—
109	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
110	C₁₁×AGL(1,ℤ/8)	—	2	8	no	—
111	C₁₁×#135	—	2	4	no	—
112	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
113	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
114	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
115	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
116	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
117	C₂×C₁₁×D₈	C₂³	1	4	yes	—
118	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
119	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
120	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
121	C₁₁×C₄⋊Q₈	—	2	2	no	—
122	C₁₁×C₄⋊Q₈	—	2	2	no	—
123	C₁₁×C₄⋊Q₈	—	2	2	no	—
124	C₁₁×C₄⋊Q₈	—	2	4	no	—
125	C₁₁×C₄⋊Q₈	—	2	1	no	—
126	C₁₁×C₄⋊Q₈	—	2	1	no	—
127	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
128	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
129	C₁₁×C₄⋊Q₈	C₂³	1	4	yes	—
130	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
131	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
132	C₁₁×#127	—	2	1	no	—
133	C₁₁×#127	—	2	1	no	—
134	C₁₁×#127	C₂³	1	4	yes	—
135	C₁₁×#127	C₂³	1	2	yes	—
136	C₁₁×#127	C₂³	1	2	yes	—
137	C₁₁×#125	—	2	2	no	—
138	C₁₁×#125	—	2	4	no	—
139	C₁₁×#125	D₄	1	2	yes	—
140	C₁₁×#125	C₂³	1	4	yes	—
141	C₁₁×#124	—	2	2	no	—
142	C₁₁×#124	—	2	2	no	—
143	C₁₁×#124	C₂³	1	4	yes	—
144	C₁₁×#123	—	2	4	no	—
145	C₁₁×#123	—	2	4	no	—
146	C₁₁×C₂²⋊Q₈	—	2	2	no	—
147	C₁₁×C₂²⋊Q₈	—	2	2	no	—
148	C₁₁×C₂²⋊Q₈	—	2	4	no	—
149	C₁₁×C₂²⋊Q₈	—	2	4	no	—
150	C₁₁×C₂²⋊Q₈	—	2	4	no	—
151	C₁₁×C₂²⋊Q₈	D₄	1	2	yes	—
152	C₁₁×C₂²⋊Q₈	D₄	1	2	yes	—
153	C₁₁×#121	—	2	2	no	—
154	C₁₁×#121	—	2	2	no	—
155	C₁₁×#121	—	2	2	no	—
156	C₁₁×#121	—	2	2	no	—
157	C₁₁×#121	—	2	4	no	—
158	C₁₁×#121	—	2	4	no	—
159	C₁₁×#120	—	2	4	no	—
160	C₄×Q₈×C₁₁	—	2	2	no	—
161	C₄×Q₈×C₁₁	—	2	2	no	—
162	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
163	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
164	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
165	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
166	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
167	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
168	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
169	C₄×D₄×C₁₁	—	2	1	no	—
170	C₄×D₄×C₁₁	—	2	1	no	—
171	C₄×D₄×C₁₁	—	2	1	no	—
172	C₄×D₄×C₁₁	—	2	1	no	—
173	C₄×D₄×C₁₁	—	2	2	no	—
174	C₄×D₄×C₁₁	—	2	2	no	—
175	C₄×D₄×C₁₁	—	2	2	no	—
176	C₄×D₄×C₁₁	—	2	2	no	—
177	C₄×D₄×C₁₁	—	2	4	no	—
178	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
179	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
180	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
181	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
182	C₄×D₄×C₁₁	C₂³	1	4	yes	—
183	C₄×D₄×C₁₁	C₂³	1	4	yes	—
184	C₄×D₄×C₁₁	C₂³	1	4	yes	—
185	C₁₁×#117	—	2	2	no	—
186	C₁₁×#117	—	2	1	no	—
187	C₁₁×#117	—	2	1	no	—
188	C₁₁×#117	C₂³	1	1	yes	characteristic
189	C₁₁×#117	C₂³	1	1	yes	characteristic
190	C₁₁×#117	C₂³	1	2	yes	—
191	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
192	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
193	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
194	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
195	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
196	C₂×C₄²×C₁₁	—	2	1	no	—
197	C₂×C₄²×C₁₁	—	2	1	no	—
198	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
199	C₁₁×#107	C₂³	1	1	yes	characteristic
200	C₁₁×#107	C₂³	1	1	yes	characteristic
201	C₁₁×#107	C₂³	1	4	yes	—
202	C₁₁×#106	C₂³	1	1	yes	characteristic
203	C₁₁×#106	C₂³	1	1	yes	characteristic
204	C₁₁×#106	C₂³	1	4	yes	—
205	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
206	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
207	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
208	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
209	C₁₁×#103	C₂³	1	1	yes	characteristic
210	C₁₁×#103	C₂³	1	4	yes	—
211	C₁₁×#103	C₂³	1	1	yes	characteristic
212	C₁₁×#103	C₂³	1	1	yes	characteristic
213	C₁₁×#103	C₂³	1	1	yes	characteristic
214	C₁₁×#102	C₂³	1	4	yes	—
215	C₁₁×#102	C₂³	1	4	yes	—
216	C₁₁×#102	C₂³	1	1	yes	characteristic
217	C₁₁×#102	C₂³	1	4	yes	—
218	C₁₁×#102	C₂³	1	4	yes	—
219	C₁₁×#102	C₂³	1	4	yes	—
220	C₁₁×#102	C₂³	1	4	yes	—
221	C₁₁×#102	C₂³	1	4	yes	—
222	C₁₁×#102	C₂³	1	1	yes	characteristic
223	C₁₁×#102	C₂³	1	1	yes	characteristic
224	C₁₁×#102	C₂³	1	1	yes	characteristic
225	C₁₁×#97	C₂³	1	4	yes	—
226	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
227	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
228	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
229	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
230	C₄×C₈×C₁₁	C₂³	1	4	yes	—
231	#61329	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
232	C₂⁴×C₁₁	—	2	2	no	—
233	C₁₁×#41	—	2	2	no	—
234	C₁₁×#41	—	2	2	no	—
235	C₁₁×#41	—	2	2	no	—
236	C₁₁×#41	—	8	4	no	—
237	C₁₁×#41	—	8	4	no	—
238	C₁₁×#41	#41	1	4	yes	complemented
239	C₂×Q₈×C₁₁	—	2	2	no	—
240	C₂×Q₈×C₁₁	—	2	4	no	—
241	C₂×Q₈×C₁₁	—	2	2	no	—
242	C₂×Q₈×C₁₁	—	8	2	no	—
243	C₂×Q₈×C₁₁	—	8	4	no	—
244	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
245	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
246	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
247	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
248	C₂×D₄×C₁₁	—	2	1	no	—
249	C₂×D₄×C₁₁	—	2	1	no	—
250	C₂×D₄×C₁₁	—	2	2	no	—
251	C₂×D₄×C₁₁	—	2	2	no	—
252	C₂×D₄×C₁₁	—	2	2	no	—
253	C₂×D₄×C₁₁	—	2	4	no	—
254	C₂×D₄×C₁₁	—	2	4	no	—
255	C₂×D₄×C₁₁	—	2	2	no	—
256	C₂×D₄×C₁₁	—	2	2	no	—
257	C₂×D₄×C₁₁	—	2	4	no	—
258	C₂×D₄×C₁₁	—	2	4	no	—
259	C₂×D₄×C₁₁	—	8	2	no	—
260	C₂×D₄×C₁₁	—	8	2	no	—
261	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
262	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
263	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
264	C₂²×C₄×C₁₁	—	2	1	no	—
265	C₂²×C₄×C₁₁	—	2	2	no	—
266	C₂²×C₄×C₁₁	—	2	1	no	—
267	C₂²×C₄×C₁₁	—	2	1	no	—
268	C₂²×C₄×C₁₁	—	2	1	no	—
269	C₂²×C₄×C₁₁	—	2	1	no	—
270	C₂²×C₄×C₁₁	—	2	1	no	—
271	C₂²×C₄×C₁₁	—	2	4	no	—
272	C₂²×C₄×C₁₁	—	2	4	no	—
273	C₂²×C₄×C₁₁	—	2	4	no	—
274	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
275	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
276	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
277	C₁₁×Q₁₆	—	2	2	no	—
278	C₁₁×SD₁₆	—	2	2	no	—
279	C₁₁×SD₁₆	—	2	8	no	—
280	C₁₁×SD₁₆	—	2	2	no	—
281	C₁₁×D₈	—	2	2	no	—
282	C₁₁×D₈	—	2	8	no	—
283	C₁₁×M₁₆	—	2	4	no	—
284	C₂×C₈×C₁₁	—	2	2	no	—
285	C₂×C₈×C₁₁	—	2	2	no	—
286	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
287	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
288	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
289	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
290	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
291	C₁₁×C₄⋊C₄	—	2	2	no	—
292	C₁₁×C₄⋊C₄	—	2	2	no	—
293	C₁₁×C₄⋊C₄	—	2	4	no	—
294	C₁₁×C₄⋊C₄	—	2	2	no	—
295	C₁₁×C₄⋊C₄	—	2	4	no	—
296	C₁₁×C₄⋊C₄	—	2	1	no	—
297	C₁₁×C₄⋊C₄	—	2	1	no	—
298	C₁₁×C₄⋊C₄	—	2	1	no	—
299	C₁₁×C₄⋊C₄	—	2	1	no	—
300	C₁₁×C₄⋊C₄	—	2	4	no	—
301	C₁₁×C₄⋊C₄	—	2	4	no	—
302	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
303	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
304	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
305	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
306	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
307	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
308	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
309	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
310	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
311	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
312	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
313	C₁₁×C₂²⋊C₄	—	2	1	no	—
314	C₁₁×C₂²⋊C₄	—	2	1	no	—
315	C₁₁×C₂²⋊C₄	—	2	4	no	—
316	C₁₁×C₂²⋊C₄	—	2	4	no	—
317	C₁₁×C₂²⋊C₄	—	2	1	no	—
318	C₁₁×C₂²⋊C₄	—	2	1	no	—
319	C₁₁×C₂²⋊C₄	—	2	1	no	—
320	C₁₁×C₂²⋊C₄	—	2	1	no	—
321	C₁₁×C₂²⋊C₄	—	2	4	no	—
322	C₁₁×C₂²⋊C₄	—	2	4	no	—
323	C₁₁×C₂²⋊C₄	—	2	4	no	—
324	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
325	C₄²×C₁₁	—	2	1	no	—
326	C₄²×C₁₁	—	2	1	no	—
327	C₄²×C₁₁	—	2	1	no	—
328	C₄²×C₁₁	—	2	1	no	—
329	C₄²×C₁₁	—	2	1	no	—
330	C₄²×C₁₁	—	2	1	no	—
331	C₄²×C₁₁	—	2	4	no	—
332	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
333	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
334	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
335	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
336	C₄²×C₁₁	C₂⁴	1	4	yes	—
337	#3508	C₂×C₁₁	1	1	yes	characteristic, complemented
338	#3503	C₂×C₁₁	1	1	yes	characteristic, complemented
339	#3375	C₂×C₁₁	1	2	yes	complemented
340	#3373	C₂×C₁₁	1	2	yes	complemented
341	#3368	C₂×C₁₁	1	2	yes	complemented
342	#3366	C₂×C₁₁	1	2	yes	complemented
343	#3365	C₂×C₁₁	1	2	yes	complemented
344	#3362	C₂×C₁₁	1	2	yes	complemented
345	#3361	C₂×C₁₁	1	2	yes	complemented
346	#3358	C₂×C₁₁	1	2	yes	complemented
347	#3136	C₂×C₁₁	1	2	yes	complemented
348	C₂×#486	C₂×C₁₁	1	1	yes	characteristic, complemented
349	#3081	C₂×C₁₁	1	2	yes	complemented
350	#3079	C₂×C₁₁	1	1	yes	characteristic, complemented
351	#3045	C₂×C₁₁	1	2	yes	complemented
352	#3038	C₂×C₁₁	1	1	yes	characteristic, complemented
353	#2960	C₂×C₁₁	1	1	yes	characteristic, complemented
354	#2946	C₂×C₁₁	1	2	yes	complemented
355	C₄×#135	C₂×C₁₁	1	1	yes	characteristic, complemented
356	C₂³×C₁₁	—	2	1	no	—
357	C₂³×C₁₁	—	2	4	no	—
358	C₂³×C₁₁	—	2	1	no	—
359	C₂³×C₁₁	—	4	4	no	—
360	C₂³×C₁₁	—	8	2	no	—
361	C₂³×C₁₁	—	8	2	no	—
362	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
363	Q₈×C₁₁	—	2	4	no	—
364	Q₈×C₁₁	—	2	4	no	—
365	Q₈×C₁₁	—	2	1	no	—
366	Q₈×C₁₁	—	2	1	no	—
367	Q₈×C₁₁	—	2	1	no	—
368	Q₈×C₁₁	—	4	4	no	—
369	Q₈×C₁₁	—	8	2	no	—
370	Q₈×C₁₁	—	8	4	no	—
371	Q₈×C₁₁	C₂×#41	1	2	yes	—
372	D₄×C₁₁	—	2	4	no	—
373	D₄×C₁₁	—	2	4	no	—
374	D₄×C₁₁	—	2	1	no	—
375	D₄×C₁₁	—	2	1	no	—
376	D₄×C₁₁	—	2	4	no	—
377	D₄×C₁₁	—	2	1	no	—
378	D₄×C₁₁	—	4	2	no	—
379	D₄×C₁₁	—	4	4	no	—
380	D₄×C₁₁	—	4	4	no	—
381	D₄×C₁₁	—	4	4	no	—
382	D₄×C₁₁	—	8	2	no	—
383	D₄×C₁₁	—	8	2	no	—
384	D₄×C₁₁	—	8	4	no	—
385	D₄×C₁₁	—	8	4	no	—
386	D₄×C₁₁	C₂×#41	1	2	yes	—
387	C₂×C₄×C₁₁	—	2	1	no	—
388	C₂×C₄×C₁₁	—	2	4	no	—
389	C₂×C₄×C₁₁	—	2	2	no	—
390	C₂×C₄×C₁₁	—	2	2	no	—
391	C₂×C₄×C₁₁	—	2	1	no	—
392	C₂×C₄×C₁₁	—	2	1	no	—
393	C₂×C₄×C₁₁	—	2	1	no	—
394	C₂×C₄×C₁₁	—	2	1	no	—
395	C₂×C₄×C₁₁	—	2	1	no	—
396	C₂×C₄×C₁₁	—	2	4	no	—
397	C₂×C₄×C₁₁	—	4	2	no	—
398	C₂×C₄×C₁₁	—	4	2	no	—
399	C₂×C₄×C₁₁	—	4	2	no	—
400	C₂×C₄×C₁₁	—	4	2	no	—
401	C₂×C₄×C₁₁	—	4	2	no	—
402	C₂×C₄×C₁₁	—	8	4	no	—
403	C₂×C₄×C₁₁	—	8	4	no	—
404	C₂×C₄×C₁₁	—	8	4	no	—
405	C₂×C₄×C₁₁	—	8	2	no	—
406	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
407	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
408	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
409	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
410	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
411	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
412	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
413	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
414	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
415	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
416	C₈×C₁₁	—	2	1	no	—
417	C₈×C₁₁	—	2	1	no	—
418	C₈×C₁₁	—	2	4	no	—
419	C₈×C₁₁	—	2	1	no	—
420	C₈×C₁₁	—	2	1	no	—
421	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	—
422	C₂×#135	C₂²×C₁₁	1	1	yes	characteristic
423	#559	C₂²×C₁₁	1	2	yes	—
424	#559	C₂²×C₁₁	1	2	yes	—
425	Q₈²	C₂²×C₁₁	1	2	yes	complemented
426	#557	C₂²×C₁₁	1	2	yes	complemented
427	#554	—	2	2	no	—
428	#554	C₂²×C₁₁	1	2	yes	complemented
429	#550	C₂²×C₁₁	1	2	yes	—
430	#550	C₂²×C₁₁	1	2	yes	—
431	D₄×Q₈	—	2	2	no	—
432	D₄×Q₈	C₂²×C₁₁	1	2	yes	complemented
433	#546	—	2	2	no	—
434	#546	—	2	2	no	—
435	#544	—	2	2	no	—
436	#544	C₂²×C₁₁	1	2	yes	—
437	#540	—	2	2	no	—
438	#535	C₂²×C₁₁	1	2	yes	—
439	#533	—	2	1	no	—
440	#533	C₂²×C₁₁	1	1	yes	characteristic
441	#532	—	2	1	no	—
442	#532	—	2	1	no	—
443	C₂×C₄⋊Q₈	—	2	1	no	—
444	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
445	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic
446	#520	C₂²×C₁₁	1	2	yes	—
447	#518	C₂²×C₁₁	1	2	yes	—
448	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
449	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
450	#490	C₂²×C₁₁	1	4	yes	complemented
451	#489	C₂²×C₁₁	1	4	yes	complemented
452	#488	C₂²×C₁₁	1	4	yes	complemented
453	#486	C₂²×C₁₁	1	2	yes	—
454	#486	C₂²×C₁₁	1	2	yes	—
455	#486	C₂²×C₁₁	1	2	yes	—
456	#486	C₂²×C₁₁	1	2	yes	—
457	#486	C₂²×C₁₁	1	4	yes	complemented
458	#478	C₂²×C₁₁	1	4	yes	complemented
459	#478	C₂²×C₁₁	1	4	yes	complemented
460	#477	C₂²×C₁₁	1	2	yes	complemented
461	#476	C₂²×C₁₁	1	2	yes	complemented
462	#476	C₂²×C₁₁	1	4	yes	complemented
463	#475	C₂²×C₁₁	1	2	yes	complemented
464	#474	C₂²×C₁₁	1	2	yes	complemented
465	#474	C₂²×C₁₁	1	4	yes	complemented
466	#464	C₂²×C₁₁	1	4	yes	complemented
467	#463	C₂²×C₁₁	1	4	yes	complemented
468	#460	C₂²×C₁₁	1	2	yes	—
469	#460	C₂²×C₁₁	1	2	yes	—
470	#460	C₂²×C₁₁	1	4	yes	complemented
471	#459	C₂²×C₁₁	1	2	yes	—
472	#459	C₂²×C₁₁	1	2	yes	—
473	#459	C₂²×C₁₁	1	4	yes	complemented
474	#446	C₂²×C₁₁	1	2	yes	complemented
475	#446	C₂²×C₁₁	1	2	yes	complemented
476	C₈×Q₈	C₂²×C₁₁	1	2	yes	complemented
477	C₈×Q₈	C₂²×C₁₁	1	2	yes	complemented
478	#442	C₂²×C₁₁	1	4	yes	complemented
479	#440	C₂²×C₁₁	1	4	yes	complemented
480	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
481	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
482	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
483	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
484	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
485	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
486	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
487	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
488	C₄×D₈	C₂²×C₁₁	1	4	yes	complemented
489	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
490	#428	C₂²×C₁₁	1	2	yes	—
491	#427	C₂²×C₁₁	1	1	yes	characteristic
492	#424	C₂²×C₁₁	1	2	yes	—
493	#423	C₂²×C₁₁	1	1	yes	characteristic
494	#418	C₂²×C₁₁	1	2	yes	—
495	#417	C₂²×C₁₁	1	2	yes	—
496	#416	C₂²×C₁₁	1	1	yes	characteristic
497	#416	C₂²×C₁₁	1	1	yes	characteristic
498	C₂×#102	C₂²×C₁₁	1	2	yes	—
499	C₂×#102	C₂²×C₁₁	1	2	yes	—
500	#405	C₂²×C₁₁	1	2	yes	—
501	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
502	C₂²×C₁₁	—	2	1	no	—
503	C₂²×C₁₁	—	2	1	no	—
504	C₂²×C₁₁	—	2	2	no	—
505	C₂²×C₁₁	—	4	1	no	—
506	C₂²×C₁₁	—	4	1	no	—
507	C₂²×C₁₁	—	4	1	no	—
508	C₂²×C₁₁	—	4	4	no	—
509	C₂²×C₁₁	—	4	1	no	—
510	C₂²×C₁₁	—	4	4	no	—
511	C₂²×C₁₁	—	4	1	no	—
512	C₂²×C₁₁	—	4	4	no	—
513	C₂²×C₁₁	—	16	4	no	—
514	C₂²×C₁₁	#548	1	2	yes	—
515	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
516	C₄×C₁₁	—	2	2	no	—
517	C₄×C₁₁	—	2	1	no	—
518	C₄×C₁₁	—	2	4	no	—
519	C₄×C₁₁	—	2	1	no	—
520	C₄×C₁₁	—	2	4	no	—
521	C₄×C₁₁	—	4	1	no	—
522	C₄×C₁₁	—	4	1	no	—
523	C₄×C₁₁	—	4	1	no	—
524	C₄×C₁₁	—	4	4	no	—
525	C₄×C₁₁	—	4	1	no	—
526	C₄×C₁₁	—	4	1	no	—
527	C₄×C₁₁	#548	1	2	yes	—
528	C₄×C₁₁	#576	1	2	yes	—
529	C₄×C₁₁	#577	1	2	yes	—
530	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
531	C₄×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
532	C₂×#41	—	2	2	no	—
533	C₂×#41	—	2	2	no	—
534	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
535	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
536	C₂²×Q₈	—	2	2	no	—
537	C₂²×Q₈	—	2	1	no	—
538	C₂²×D₄	—	2	1	no	—
539	C₂²×D₄	—	2	1	no	—
540	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
541	AGL(1,ℤ/8)	—	2	8	no	—
542	#135	—	2	4	no	—
543	C₂×Q₁₆	C₂³×C₁₁	1	1	yes	characteristic
544	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
545	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
546	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
547	C₂×D₈	C₂³×C₁₁	1	1	yes	characteristic
548	C₂×D₈	C₂³×C₁₁	1	4	yes	—
549	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
550	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
551	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
552	C₄⋊Q₈	—	2	2	no	—
553	C₄⋊Q₈	—	2	2	no	—
554	C₄⋊Q₈	—	2	2	no	—
555	C₄⋊Q₈	—	2	4	no	—
556	C₄⋊Q₈	—	2	1	no	—
557	C₄⋊Q₈	—	2	1	no	—
558	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
559	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
560	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
561	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
562	C₄⋊Q₈	C₂³×C₁₁	1	4	yes	—
563	#127	—	2	1	no	—
564	#127	—	2	1	no	—
565	#127	C₂³×C₁₁	1	2	yes	—
566	#127	C₂³×C₁₁	1	2	yes	—
567	#127	C₂³×C₁₁	1	4	yes	—
568	#125	—	2	2	no	—
569	#125	—	2	4	no	—
570	#125	D₄×C₁₁	1	2	yes	—
571	#125	C₂³×C₁₁	1	4	yes	—
572	#124	—	2	2	no	—
573	#124	—	2	2	no	—
574	#124	C₂³×C₁₁	1	4	yes	—
575	#123	—	2	4	no	—
576	#123	—	2	4	no	—
577	C₂²⋊Q₈	—	2	2	no	—
578	C₂²⋊Q₈	—	2	2	no	—
579	C₂²⋊Q₈	—	2	4	no	—
580	C₂²⋊Q₈	—	2	4	no	—
581	C₂²⋊Q₈	—	2	4	no	—
582	C₂²⋊Q₈	D₄×C₁₁	1	2	yes	—
583	C₂²⋊Q₈	D₄×C₁₁	1	2	yes	—
584	#121	—	2	2	no	—
585	#121	—	2	2	no	—
586	#121	—	2	2	no	—
587	#121	—	2	2	no	—
588	#121	—	2	4	no	—
589	#121	—	2	4	no	—
590	#120	—	2	4	no	—
591	C₄×Q₈	—	2	2	no	—
592	C₄×Q₈	—	2	2	no	—
593	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
594	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
595	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
596	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
597	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
598	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
599	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
600	C₄×D₄	—	2	1	no	—
601	C₄×D₄	—	2	1	no	—
602	C₄×D₄	—	2	1	no	—
603	C₄×D₄	—	2	1	no	—
604	C₄×D₄	—	2	2	no	—
605	C₄×D₄	—	2	2	no	—
606	C₄×D₄	—	2	2	no	—
607	C₄×D₄	—	2	2	no	—
608	C₄×D₄	—	2	4	no	—
609	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
610	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
611	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
612	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
613	C₄×D₄	C₂³×C₁₁	1	4	yes	—
614	C₄×D₄	C₂³×C₁₁	1	4	yes	—
615	C₄×D₄	C₂³×C₁₁	1	4	yes	—
616	#117	—	2	2	no	—
617	#117	—	2	1	no	—
618	#117	—	2	1	no	—
619	#117	C₂³×C₁₁	1	1	yes	characteristic
620	#117	C₂³×C₁₁	1	1	yes	characteristic
621	#117	C₂³×C₁₁	1	2	yes	—
622	C₂×C₄⋊C₄	—	2	1	no	—
623	C₂×C₄⋊C₄	—	2	2	no	—
624	C₂×C₄⋊C₄	—	2	2	no	—
625	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
626	C₂×C₂²⋊C₄	—	2	4	no	—
627	C₂×C₄²	—	2	1	no	—
628	C₂×C₄²	—	2	1	no	—
629	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
630	#107	C₂³×C₁₁	1	1	yes	characteristic
631	#107	C₂³×C₁₁	1	1	yes	characteristic
632	#107	C₂³×C₁₁	1	4	yes	—
633	#106	C₂³×C₁₁	1	1	yes	characteristic
634	#106	C₂³×C₁₁	1	1	yes	characteristic
635	#106	C₂³×C₁₁	1	4	yes	—
636	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
637	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
638	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
639	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
640	#103	C₂³×C₁₁	1	1	yes	characteristic
641	#103	C₂³×C₁₁	1	1	yes	characteristic
642	#103	C₂³×C₁₁	1	1	yes	characteristic
643	#103	C₂³×C₁₁	1	1	yes	characteristic
644	#103	C₂³×C₁₁	1	4	yes	—
645	#102	C₂³×C₁₁	1	4	yes	—
646	#102	C₂³×C₁₁	1	4	yes	—
647	#102	C₂³×C₁₁	1	4	yes	—
648	#102	C₂³×C₁₁	1	4	yes	—
649	#102	C₂³×C₁₁	1	1	yes	characteristic
650	#102	C₂³×C₁₁	1	1	yes	characteristic
651	#102	C₂³×C₁₁	1	1	yes	characteristic
652	#102	C₂³×C₁₁	1	1	yes	characteristic
653	#102	C₂³×C₁₁	1	4	yes	—
654	#102	C₂³×C₁₁	1	4	yes	—
655	#102	C₂³×C₁₁	1	4	yes	—
656	#97	C₂³×C₁₁	1	4	yes	—
657	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
658	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
659	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
660	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
661	C₄×C₈	C₂³×C₁₁	1	4	yes	—
662	C₂×C₁₁	—	2	2	no	—
663	C₂×C₁₁	—	4	2	no	—
664	C₂×C₁₁	—	8	1	no	—
665	C₂×C₁₁	—	8	4	no	—
666	C₂×C₁₁	C₂×#548	1	1	yes	characteristic
667	C₂×C₁₁	C₂×#576	1	1	yes	characteristic
668	C₂×C₁₁	C₂×#577	1	1	yes	characteristic
669	C₂⁴	—	2	2	no	—
670	#41	—	2	2	no	—
671	#41	—	2	2	no	—
672	#41	—	2	2	no	—
673	#41	—	8	4	no	—
674	#41	—	8	4	no	—
675	#41	C₁₁×#41	1	4	yes	complemented
676	C₂×Q₈	—	2	2	no	—
677	C₂×Q₈	—	2	4	no	—
678	C₂×Q₈	—	2	2	no	—
679	C₂×Q₈	—	8	2	no	—
680	C₂×Q₈	—	8	4	no	—
681	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
682	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
683	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
684	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
685	C₂×D₄	—	2	1	no	—
686	C₂×D₄	—	2	1	no	—
687	C₂×D₄	—	2	2	no	—
688	C₂×D₄	—	2	2	no	—
689	C₂×D₄	—	2	2	no	—
690	C₂×D₄	—	2	4	no	—
691	C₂×D₄	—	2	4	no	—
692	C₂×D₄	—	2	2	no	—
693	C₂×D₄	—	2	2	no	—
694	C₂×D₄	—	2	4	no	—
695	C₂×D₄	—	2	4	no	—
696	C₂×D₄	—	8	2	no	—
697	C₂×D₄	—	8	2	no	—
698	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
699	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
700	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
701	C₂²×C₄	—	2	1	no	—
702	C₂²×C₄	—	2	2	no	—
703	C₂²×C₄	—	2	1	no	—
704	C₂²×C₄	—	2	1	no	—
705	C₂²×C₄	—	2	1	no	—
706	C₂²×C₄	—	2	1	no	—
707	C₂²×C₄	—	2	1	no	—
708	C₂²×C₄	—	2	4	no	—
709	C₂²×C₄	—	2	4	no	—
710	C₂²×C₄	—	2	4	no	—
711	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
712	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
713	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
714	Q₁₆	—	2	2	no	—
715	SD₁₆	—	2	2	no	—
716	SD₁₆	—	2	8	no	—
717	SD₁₆	—	2	2	no	—
718	D₈	—	2	2	no	—
719	D₈	—	2	8	no	—
720	M₁₆	—	2	4	no	—
721	C₂×C₈	—	2	2	no	—
722	C₂×C₈	—	2	2	no	—
723	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
724	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
725	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
726	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
727	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
728	C₄⋊C₄	—	2	2	no	—
729	C₄⋊C₄	—	2	2	no	—
730	C₄⋊C₄	—	2	4	no	—
731	C₄⋊C₄	—	2	2	no	—
732	C₄⋊C₄	—	2	4	no	—
733	C₄⋊C₄	—	2	1	no	—
734	C₄⋊C₄	—	2	1	no	—
735	C₄⋊C₄	—	2	1	no	—
736	C₄⋊C₄	—	2	1	no	—
737	C₄⋊C₄	—	2	4	no	—
738	C₄⋊C₄	—	2	4	no	—
739	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
740	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
741	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
742	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
743	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
744	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
745	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
746	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
747	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
748	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
749	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
750	C₂²⋊C₄	—	2	1	no	—
751	C₂²⋊C₄	—	2	1	no	—
752	C₂²⋊C₄	—	2	4	no	—
753	C₂²⋊C₄	—	2	4	no	—
754	C₂²⋊C₄	—	2	1	no	—
755	C₂²⋊C₄	—	2	1	no	—
756	C₂²⋊C₄	—	2	1	no	—
757	C₂²⋊C₄	—	2	1	no	—
758	C₂²⋊C₄	—	2	4	no	—
759	C₂²⋊C₄	—	2	4	no	—
760	C₂²⋊C₄	—	2	4	no	—
761	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
762	C₄²	—	2	1	no	—
763	C₄²	—	2	1	no	—
764	C₄²	—	2	1	no	—
765	C₄²	—	2	1	no	—
766	C₄²	—	2	1	no	—
767	C₄²	—	2	1	no	—
768	C₄²	—	2	4	no	—
769	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
770	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
771	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
772	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
773	C₄²	C₂⁴×C₁₁	1	4	yes	—
774	C₁₁	#61329	1	1	yes	characteristic, direct product factor, Sylow
775	C₂³	—	2	1	no	—
776	C₂³	—	2	4	no	—
777	C₂³	—	2	1	no	—
778	C₂³	—	4	4	no	—
779	C₂³	—	8	2	no	—
780	C₂³	—	8	2	no	—
781	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
782	Q₈	—	2	4	no	—
783	Q₈	—	2	4	no	—
784	Q₈	—	2	1	no	—
785	Q₈	—	2	1	no	—
786	Q₈	—	2	1	no	—
787	Q₈	—	4	4	no	—
788	Q₈	—	8	2	no	—
789	Q₈	—	8	4	no	—
790	Q₈	C₂×C₁₁×#41	1	2	yes	—
791	D₄	—	2	4	no	—
792	D₄	—	2	4	no	—
793	D₄	—	2	1	no	—
794	D₄	—	2	1	no	—
795	D₄	—	2	4	no	—
796	D₄	—	2	1	no	—
797	D₄	—	4	2	no	—
798	D₄	—	4	4	no	—
799	D₄	—	4	4	no	—
800	D₄	—	4	4	no	—
801	D₄	—	8	2	no	—
802	D₄	—	8	2	no	—
803	D₄	—	8	4	no	—
804	D₄	—	8	4	no	—
805	D₄	C₂×C₁₁×#41	1	2	yes	—
806	C₂×C₄	—	2	1	no	—
807	C₂×C₄	—	2	4	no	—
808	C₂×C₄	—	2	2	no	—
809	C₂×C₄	—	2	2	no	—
810	C₂×C₄	—	2	1	no	—
811	C₂×C₄	—	2	1	no	—
812	C₂×C₄	—	2	1	no	—
813	C₂×C₄	—	2	1	no	—
814	C₂×C₄	—	2	1	no	—
815	C₂×C₄	—	2	4	no	—
816	C₂×C₄	—	4	2	no	—
817	C₂×C₄	—	4	2	no	—
818	C₂×C₄	—	4	2	no	—
819	C₂×C₄	—	4	2	no	—
820	C₂×C₄	—	4	2	no	—
821	C₂×C₄	—	8	4	no	—
822	C₂×C₄	—	8	4	no	—
823	C₂×C₄	—	8	4	no	—
824	C₂×C₄	—	8	2	no	—
825	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
826	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
827	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
828	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
829	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
830	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
831	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
832	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
833	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
834	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
835	C₈	—	2	1	no	—
836	C₈	—	2	1	no	—
837	C₈	—	2	4	no	—
838	C₈	—	2	1	no	—
839	C₈	—	2	1	no	—
840	C₂²	—	2	1	no	—
841	C₂²	—	2	1	no	—
842	C₂²	—	2	2	no	—
843	C₂²	—	4	1	no	—
844	C₂²	—	4	1	no	—
845	C₂²	—	4	1	no	—
846	C₂²	—	4	4	no	—
847	C₂²	—	4	1	no	—
848	C₂²	—	4	4	no	—
849	C₂²	—	4	1	no	—
850	C₂²	—	4	4	no	—
851	C₂²	—	16	4	no	—
852	C₂²	C₁₁×#548	1	2	yes	—
853	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
854	C₄	—	2	2	no	—
855	C₄	—	2	1	no	—
856	C₄	—	2	4	no	—
857	C₄	—	2	1	no	—
858	C₄	—	2	4	no	—
859	C₄	—	4	1	no	—
860	C₄	—	4	1	no	—
861	C₄	—	4	1	no	—
862	C₄	—	4	4	no	—
863	C₄	—	4	1	no	—
864	C₄	—	4	1	no	—
865	C₄	C₁₁×#548	1	2	yes	—
866	C₄	C₁₁×#576	1	2	yes	—
867	C₄	C₁₁×#577	1	2	yes	—
868	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
869	C₄	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
870	C₂	—	2	2	no	—
871	C₂	—	4	2	no	—
872	C₂	—	8	4	no	—
873	C₂	—	8	1	no	—
874	C₂	C₂×C₁₁×#548	1	1	yes	characteristic
875	C₂	C₂×C₁₁×#576	1	1	yes	characteristic
876	C₂	C₂×C₁₁×#577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₁₁×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3508	C₂	semidirect
2. C₁₁×#3503	C₂	semidirect
3. C₁₁×#3375	C₂	semidirect
4. C₁₁×#3373	C₂	semidirect
5. C₁₁×#3368	C₂	semidirect
6. C₁₁×#3366	C₂	semidirect
7. C₁₁×#3365	C₂	semidirect
8. C₁₁×#3362	C₂	semidirect
9. C₁₁×#3361	C₂	semidirect
10. C₁₁×#3358	C₂	semidirect
11. C₁₁×#3136	C₂	semidirect
12. C₂×C₁₁×#486	C₂	semidirect
13. C₁₁×#3081	C₂	semidirect
14. C₁₁×#3079	C₂	semidirect
15. C₁₁×#3045	C₂	semidirect
16. C₁₁×#3038	C₂	semidirect
17. C₁₁×#2960	C₂	semidirect
18. C₁₁×#2946	C₂	semidirect
19. C₄×C₁₁×#135	C₂	semidirect
24. Q₈²×C₁₁	C₂²	semidirect
25. C₁₁×#557	C₂²	semidirect
27. C₁₁×#554	C₂²	semidirect
31. D₄×Q₈×C₁₁	C₂²	semidirect
49. C₁₁×#490	C₂²	semidirect
50. C₁₁×#489	C₂²	semidirect
51. C₁₁×#488	C₂²	semidirect
56. C₁₁×#486	C₂²	semidirect
57. C₁₁×#478	C₂²	semidirect
58. C₁₁×#478	C₂²	semidirect
59. C₁₁×#477	C₂²	semidirect
60. C₁₁×#476	C₂²	semidirect
61. C₁₁×#476	C₂²	semidirect
62. C₁₁×#475	C₂²	semidirect
63. C₁₁×#474	C₂²	semidirect
64. C₁₁×#474	C₂²	semidirect
65. C₁₁×#464	C₂²	semidirect
66. C₁₁×#463	C₂²	semidirect
69. C₁₁×#460	C₂²	semidirect
72. C₁₁×#459	C₂²	semidirect
73. C₁₁×#446	C₂²	semidirect
74. C₁₁×#446	C₂²	semidirect
75. C₈×Q₈×C₁₁	C₂²	semidirect
76. C₈×Q₈×C₁₁	C₂²	semidirect
77. C₁₁×#442	C₂²	semidirect
78. C₁₁×#440	C₂²	semidirect
79. C₄×C₁₁×Q₁₆	C₂²	semidirect
80. C₄×C₁₁×Q₁₆	C₂²	semidirect
81. C₄×C₁₁×SD₁₆	C₂²	semidirect
82. C₄×C₁₁×SD₁₆	C₂²	semidirect
83. C₄×C₁₁×SD₁₆	C₂²	semidirect
84. C₄×C₁₁×SD₁₆	C₂²	semidirect
85. C₄×C₁₁×SD₁₆	C₂²	semidirect
86. C₄×C₁₁×D₈	C₂²	semidirect
87. C₄×C₁₁×D₈	C₂²	semidirect
88. C₄×C₁₁×D₈	C₂²	semidirect
231. #61329	C₁₁	direct (N × H)
238. C₁₁×#41	#41	semidirect
337. #3508	C₂×C₁₁	semidirect
338. #3503	C₂×C₁₁	semidirect
339. #3375	C₂×C₁₁	semidirect
340. #3373	C₂×C₁₁	semidirect
341. #3368	C₂×C₁₁	semidirect
342. #3366	C₂×C₁₁	semidirect
343. #3365	C₂×C₁₁	semidirect
344. #3362	C₂×C₁₁	semidirect
345. #3361	C₂×C₁₁	semidirect
346. #3358	C₂×C₁₁	semidirect
347. #3136	C₂×C₁₁	semidirect
348. C₂×#486	C₂×C₁₁	semidirect
349. #3081	C₂×C₁₁	semidirect
350. #3079	C₂×C₁₁	semidirect
351. #3045	C₂×C₁₁	semidirect
352. #3038	C₂×C₁₁	semidirect
353. #2960	C₂×C₁₁	semidirect
354. #2946	C₂×C₁₁	semidirect
355. C₄×#135	C₂×C₁₁	semidirect
425. Q₈²	C₂²×C₁₁	semidirect
426. #557	C₂²×C₁₁	semidirect
428. #554	C₂²×C₁₁	semidirect
432. D₄×Q₈	C₂²×C₁₁	semidirect
450. #490	C₂²×C₁₁	semidirect
451. #489	C₂²×C₁₁	semidirect
452. #488	C₂²×C₁₁	semidirect
457. #486	C₂²×C₁₁	semidirect
458. #478	C₂²×C₁₁	semidirect
459. #478	C₂²×C₁₁	semidirect
460. #477	C₂²×C₁₁	semidirect
461. #476	C₂²×C₁₁	semidirect
462. #476	C₂²×C₁₁	semidirect
463. #475	C₂²×C₁₁	semidirect
464. #474	C₂²×C₁₁	semidirect
465. #474	C₂²×C₁₁	semidirect
466. #464	C₂²×C₁₁	semidirect
467. #463	C₂²×C₁₁	semidirect
470. #460	C₂²×C₁₁	semidirect
473. #459	C₂²×C₁₁	semidirect
474. #446	C₂²×C₁₁	semidirect
475. #446	C₂²×C₁₁	semidirect
476. C₈×Q₈	C₂²×C₁₁	semidirect
477. C₈×Q₈	C₂²×C₁₁	semidirect
478. #442	C₂²×C₁₁	semidirect
479. #440	C₂²×C₁₁	semidirect
480. C₄×Q₁₆	C₂²×C₁₁	semidirect
481. C₄×Q₁₆	C₂²×C₁₁	semidirect
482. C₄×SD₁₆	C₂²×C₁₁	semidirect
483. C₄×SD₁₆	C₂²×C₁₁	semidirect
484. C₄×SD₁₆	C₂²×C₁₁	semidirect
485. C₄×SD₁₆	C₂²×C₁₁	semidirect
486. C₄×SD₁₆	C₂²×C₁₁	semidirect
487. C₄×D₈	C₂²×C₁₁	semidirect
488. C₄×D₈	C₂²×C₁₁	semidirect
489. C₄×D₈	C₂²×C₁₁	semidirect
675. #41	C₁₁×#41	semidirect
774. C₁₁	#61329	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×#3508	2
C₁₁×#3503	2
C₁₁×#3375	2
C₁₁×#3373	2
C₁₁×#3368	2
C₁₁×#3366	2
C₁₁×#3365	2
C₁₁×#3362	2
C₁₁×#3361	2
C₁₁×#3358	2
C₁₁×#3136	2
C₂×C₁₁×#486	2
C₁₁×#3081	2
C₁₁×#3079	2
C₁₁×#3045	2
C₁₁×#3038	2
C₁₁×#2960	2
C₁₁×#2946	2
C₄×C₁₁×#135	2
#61329	11

Subgroups — C11×#61329 #14638522

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61329 #14638522