Subgroups — C₁₁×#61367 #14638560

Order 2816.

1826 conjugacy classes of subgroups.

The subgroup lattice has 864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	Q₈×C₁₁×#41	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₁×#554	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3389	C₂	1	4	yes	maximal, complemented
4	C₁₁×#3388	C₂	1	4	yes	maximal, complemented
5	C₁₁×#3385	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3384	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3381	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3380	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3166	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3165	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#3080	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3079	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3077	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3077	C₂	1	2	yes	maximal, complemented
15	Q₈×C₁₁×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄×C₁₁×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic
17	C₄×C₁₁×AGL(1,ℤ/8)	C₂	1	2	yes	maximal
18	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
19	Q₈²×C₁₁	C₂²	1	1	yes	characteristic, complemented
20	C₁₁×#557	C₂²	1	1	yes	characteristic, complemented
21	C₁₁×#557	C₂²	1	2	yes	complemented
22	C₁₁×#554	—	2	1	no	—
23	C₁₁×#554	—	2	2	no	—
24	C₁₁×#554	—	2	1	no	—
25	C₁₁×#554	—	2	1	no	—
26	C₁₁×#554	—	2	2	no	—
27	C₁₁×#554	C₂²	1	2	yes	—
28	C₁₁×#554	C₂²	1	2	yes	—
29	C₁₁×#554	C₂²	1	4	yes	—
30	C₁₁×#554	C₂²	1	1	yes	characteristic, complemented
31	C₁₁×#554	C₂²	1	2	yes	complemented
32	D₄×Q₈×C₁₁	—	2	1	no	—
33	D₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
34	C₁₁×#533	—	2	2	no	—
35	C₁₁×#533	—	2	1	no	—
36	C₁₁×#533	C₂²	1	1	yes	characteristic
37	C₁₁×#533	C₂²	1	2	yes	—
38	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
39	C₂×C₁₁×#125	C₂²	1	2	yes	—
40	C₂×C₁₁×C₂²⋊Q₈	—	2	1	no	—
41	C₂×C₁₁×C₂²⋊Q₈	—	2	2	no	—
42	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
43	C₄×C₁₁×#41	C₂²	1	2	yes	—
44	C₂×C₄×Q₈×C₁₁	—	2	1	no	—
45	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
47	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
48	C₂²×C₁₁×C₄⋊C₄	—	2	1	no	—
49	C₁₁×#501	C₂²	1	4	yes	complemented
50	C₁₁×#501	C₂²	1	4	yes	complemented
51	C₁₁×#501	C₂²	1	4	yes	complemented
52	C₁₁×#500	C₂²	1	2	yes	complemented
53	C₁₁×#499	C₂²	1	4	yes	complemented
54	C₁₁×#499	C₂²	1	4	yes	complemented
55	C₁₁×#498	C₂²	1	2	yes	complemented
56	C₁₁×#479	C₂²	1	4	yes	complemented
57	C₁₁×#479	C₂²	1	4	yes	complemented
58	C₁₁×#478	C₂²	1	4	yes	—
59	C₁₁×#478	C₂²	1	4	yes	—
60	C₁₁×#478	C₂²	1	4	yes	—
61	C₁₁×#478	C₂²	1	4	yes	complemented
62	C₁₁×#478	C₂²	1	4	yes	complemented
63	C₁₁×#477	C₂²	1	2	yes	complemented
64	C₁₁×#476	C₂²	1	2	yes	—
65	C₁₁×#476	C₂²	1	4	yes	—
66	C₁₁×#476	C₂²	1	2	yes	complemented
67	C₁₁×#475	C₂²	1	2	yes	complemented
68	C₁₁×#474	C₂²	1	2	yes	—
69	C₁₁×#474	C₂²	1	4	yes	—
70	C₁₁×#474	C₂²	1	2	yes	complemented
71	C₁₁×#446	C₂²	1	2	yes	complemented
72	C₁₁×#446	C₂²	1	4	yes	complemented
73	C₈×Q₈×C₁₁	C₂²	1	2	yes	complemented
74	C₁₁×#442	C₂²	1	4	yes	—
75	C₁₁×#442	C₂²	1	2	yes	—
76	C₁₁×#440	C₂²	1	4	yes	—
77	C₁₁×#440	C₂²	1	2	yes	—
78	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	—
79	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	—
80	C₄×C₁₁×D₈	C₂²	1	2	yes	—
81	C₄×C₁₁×D₈	C₂²	1	4	yes	—
82	C₁₁×#428	C₂²	1	2	yes	—
83	C₁₁×#428	C₂²	1	2	yes	—
84	C₁₁×#428	C₂²	1	1	yes	characteristic
85	C₁₁×#428	C₂²	1	2	yes	—
86	C₁₁×#428	C₂²	1	2	yes	—
87	C₁₁×#423	C₂²	1	1	yes	characteristic
88	C₁₁×#423	C₂²	1	2	yes	—
89	C₁₁×#418	C₂²	1	2	yes	—
90	C₁₁×#418	C₂²	1	1	yes	characteristic
91	C₁₁×#417	C₂²	1	2	yes	—
92	C₁₁×#417	C₂²	1	1	yes	characteristic
93	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
94	C₄×C₁₁×M₁₆	C₂²	1	2	yes	—
95	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
96	C₂²×Q₈×C₁₁	—	2	1	no	—
97	C₂²×Q₈×C₁₁	—	2	1	no	—
98	C₂²×Q₈×C₁₁	D₄	1	1	yes	characteristic
99	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
100	C₂³×C₄×C₁₁	—	2	1	no	—
101	C₂³×C₄×C₁₁	—	2	2	no	—
102	C₁₁×AGL(1,ℤ/8)	Q₈	1	8	yes	complemented
103	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
104	C₂×C₁₁×D₈	C₂³	1	2	yes	—
105	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
106	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
107	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
108	C₁₁×C₄⋊Q₈	—	2	1	no	—
109	C₁₁×C₄⋊Q₈	—	2	2	no	—
110	C₁₁×C₄⋊Q₈	—	2	1	no	—
111	C₁₁×C₄⋊Q₈	—	2	2	no	—
112	C₁₁×C₄⋊Q₈	—	2	1	no	—
113	C₁₁×C₄⋊Q₈	—	2	1	no	—
114	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
115	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
116	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
117	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
118	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
119	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
120	C₁₁×#125	—	2	2	no	—
121	C₁₁×#125	—	2	2	no	—
122	C₁₁×#125	—	2	2	no	—
123	C₁₁×#125	—	2	2	no	—
124	C₁₁×#125	—	2	2	no	—
125	C₁₁×#125	C₂³	1	4	yes	—
126	C₁₁×#125	C₂³	1	2	yes	—
127	C₁₁×#125	C₂³	1	2	yes	—
128	C₁₁×#125	C₂³	1	4	yes	—
129	C₁₁×#125	C₂³	1	2	yes	—
130	C₁₁×C₂²⋊Q₈	—	2	2	no	—
131	C₁₁×C₂²⋊Q₈	—	2	2	no	—
132	C₁₁×C₂²⋊Q₈	—	2	4	no	—
133	C₁₁×C₂²⋊Q₈	—	2	1	no	—
134	C₁₁×C₂²⋊Q₈	—	2	2	no	—
135	C₁₁×C₂²⋊Q₈	—	2	1	no	—
136	C₁₁×C₂²⋊Q₈	—	2	2	no	—
137	C₁₁×C₂²⋊Q₈	—	2	1	no	—
138	C₁₁×C₂²⋊Q₈	—	2	2	no	—
139	C₁₁×C₂²⋊Q₈	—	2	4	no	—
140	C₁₁×C₂²⋊Q₈	—	2	4	no	—
141	C₁₁×C₂²⋊Q₈	—	2	4	no	—
142	C₁₁×C₂²⋊Q₈	—	2	4	no	—
143	C₁₁×C₂²⋊Q₈	—	2	1	no	—
144	C₁₁×C₂²⋊Q₈	—	2	2	no	—
145	C₁₁×C₂²⋊Q₈	—	2	2	no	—
146	C₁₁×C₂²⋊Q₈	—	2	2	no	—
147	C₁₁×C₂²⋊Q₈	—	2	2	no	—
148	C₄×Q₈×C₁₁	—	2	1	no	—
149	C₄×Q₈×C₁₁	—	2	1	no	—
150	C₄×Q₈×C₁₁	—	2	2	no	—
151	C₄×Q₈×C₁₁	—	2	2	no	—
152	C₄×Q₈×C₁₁	—	2	1	no	—
153	C₄×Q₈×C₁₁	—	2	2	no	—
154	C₄×Q₈×C₁₁	—	2	1	no	—
155	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
156	C₄×Q₈×C₁₁	D₄	1	2	yes	—
157	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
158	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
159	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
160	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
161	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
162	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
163	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
164	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
165	C₄×D₄×C₁₁	—	2	1	no	—
166	C₄×D₄×C₁₁	—	2	2	no	—
167	C₄×D₄×C₁₁	—	2	1	no	—
168	C₄×D₄×C₁₁	—	2	2	no	—
169	C₄×D₄×C₁₁	—	2	2	no	—
170	C₄×D₄×C₁₁	—	2	1	no	—
171	C₄×D₄×C₁₁	—	2	2	no	—
172	C₄×D₄×C₁₁	—	2	1	no	—
173	C₄×D₄×C₁₁	C₂³	1	2	yes	—
174	C₄×D₄×C₁₁	C₂³	1	4	yes	—
175	C₄×D₄×C₁₁	C₂³	1	4	yes	—
176	C₄×D₄×C₁₁	C₂³	1	2	yes	—
177	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
178	C₄×D₄×C₁₁	C₂³	1	2	yes	—
179	C₄×D₄×C₁₁	C₂³	1	2	yes	—
180	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
181	C₁₁×#117	—	2	2	no	—
182	C₁₁×#117	—	2	1	no	—
183	C₁₁×#117	C₂³	1	1	yes	characteristic
184	C₁₁×#117	C₂³	1	2	yes	—
185	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
186	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
187	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
188	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
189	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
190	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
191	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
192	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
193	C₂×C₁₁×C₄⋊C₄	D₄	1	1	yes	characteristic
194	C₂×C₁₁×C₄⋊C₄	D₄	1	2	yes	—
195	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
197	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
198	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
199	C₂×C₄²×C₁₁	—	2	2	no	—
200	C₂×C₄²×C₁₁	—	2	1	no	—
201	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
202	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
203	C₁₁×#107	C₂³	1	2	yes	—
204	C₁₁×#107	C₂³	1	4	yes	—
205	C₁₁×#107	C₂³	1	4	yes	—
206	C₁₁×#107	C₂³	1	4	yes	—
207	C₁₁×#107	C₂³	1	4	yes	—
208	C₁₁×#106	C₂³	1	4	yes	—
209	C₁₁×#106	C₂³	1	4	yes	—
210	C₁₁×#106	C₂³	1	2	yes	—
211	C₁₁×#106	C₂³	1	4	yes	—
212	C₁₁×#106	C₂³	1	4	yes	—
213	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
214	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
215	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
216	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
217	C₁₁×#103	C₂³	1	4	yes	—
218	C₁₁×#103	C₂³	1	2	yes	—
219	C₁₁×#102	C₂³	1	4	yes	—
220	C₁₁×#102	C₂³	1	2	yes	—
221	C₁₁×#102	C₂³	1	4	yes	—
222	C₁₁×#102	C₂³	1	2	yes	—
223	C₁₁×#102	C₂³	1	2	yes	—
224	C₁₁×#102	C₂³	1	4	yes	—
225	C₁₁×#97	C₂³	1	2	yes	—
226	C₁₁×#97	C₂³	1	4	yes	—
227	C₄×C₈×C₁₁	C₂³	1	2	yes	—
228	C₄×C₈×C₁₁	C₂³	1	4	yes	—
229	#61367	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
230	C₂⁴×C₁₁	—	2	1	no	—
231	C₁₁×#41	—	2	2	no	—
232	C₁₁×#41	C₂×Q₈	1	4	yes	—
233	C₂×Q₈×C₁₁	—	2	2	no	—
234	C₂×Q₈×C₁₁	—	2	1	no	—
235	C₂×Q₈×C₁₁	—	2	1	no	—
236	C₂×Q₈×C₁₁	—	2	2	no	—
237	C₂×Q₈×C₁₁	—	2	2	no	—
238	C₂×Q₈×C₁₁	—	2	2	no	—
239	C₂×Q₈×C₁₁	—	4	2	no	—
240	C₂×Q₈×C₁₁	—	4	4	no	—
241	C₂×Q₈×C₁₁	—	8	2	no	—
242	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
243	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
244	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
245	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
246	C₂×D₄×C₁₁	—	2	1	no	—
247	C₂×D₄×C₁₁	—	2	1	no	—
248	C₂×D₄×C₁₁	—	2	2	no	—
249	C₂×D₄×C₁₁	C₂×Q₈	1	4	yes	complemented
250	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
251	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
252	C₂²×C₄×C₁₁	—	2	1	no	—
253	C₂²×C₄×C₁₁	—	2	1	no	—
254	C₂²×C₄×C₁₁	—	2	2	no	—
255	C₂²×C₄×C₁₁	—	2	2	no	—
256	C₂²×C₄×C₁₁	—	2	1	no	—
257	C₂²×C₄×C₁₁	—	2	2	no	—
258	C₂²×C₄×C₁₁	—	2	2	no	—
259	C₂²×C₄×C₁₁	—	2	1	no	—
260	C₂²×C₄×C₁₁	—	2	2	no	—
261	C₂²×C₄×C₁₁	—	2	4	no	—
262	C₂²×C₄×C₁₁	—	2	4	no	—
263	C₂²×C₄×C₁₁	—	4	4	no	—
264	C₂²×C₄×C₁₁	—	8	4	no	—
265	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
266	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
267	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
268	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
269	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
270	C₁₁×SD₁₆	C₂×Q₈	1	8	yes	complemented
271	C₁₁×D₈	C₂×Q₈	1	8	yes	complemented
272	C₁₁×M₁₆	—	2	2	no	—
273	C₁₁×M₁₆	—	2	4	no	—
274	C₁₁×M₁₆	C₂×Q₈	1	4	yes	complemented
275	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
276	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
277	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
278	C₁₁×C₄⋊C₄	—	2	4	no	—
279	C₁₁×C₄⋊C₄	—	2	4	no	—
280	C₁₁×C₄⋊C₄	—	2	2	no	—
281	C₁₁×C₄⋊C₄	—	2	2	no	—
282	C₁₁×C₄⋊C₄	—	2	2	no	—
283	C₁₁×C₄⋊C₄	—	2	2	no	—
284	C₁₁×C₄⋊C₄	—	2	2	no	—
285	C₁₁×C₄⋊C₄	—	2	2	no	—
286	C₁₁×C₄⋊C₄	—	2	1	no	—
287	C₁₁×C₄⋊C₄	—	2	4	no	—
288	C₁₁×C₄⋊C₄	—	2	4	no	—
289	C₁₁×C₄⋊C₄	—	2	1	no	—
290	C₁₁×C₄⋊C₄	—	2	2	no	—
291	C₁₁×C₄⋊C₄	—	2	2	no	—
292	C₁₁×C₄⋊C₄	—	2	1	no	—
293	C₁₁×C₄⋊C₄	—	2	1	no	—
294	C₁₁×C₄⋊C₄	—	2	2	no	—
295	C₁₁×C₄⋊C₄	—	2	1	no	—
296	C₁₁×C₄⋊C₄	—	2	2	no	—
297	C₁₁×C₄⋊C₄	—	2	2	no	—
298	C₁₁×C₄⋊C₄	—	2	2	no	—
299	C₁₁×C₄⋊C₄	—	2	2	no	—
300	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
301	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
302	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	2	yes	—
307	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
308	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
309	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
310	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
311	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
312	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
313	C₁₁×C₂²⋊C₄	—	2	1	no	—
314	C₁₁×C₂²⋊C₄	—	2	2	no	—
315	C₁₁×C₂²⋊C₄	—	2	2	no	—
316	C₁₁×C₂²⋊C₄	—	2	2	no	—
317	C₁₁×C₂²⋊C₄	—	2	4	no	—
318	C₁₁×C₂²⋊C₄	—	2	4	no	—
319	C₁₁×C₂²⋊C₄	—	2	2	no	—
320	C₁₁×C₂²⋊C₄	—	2	1	no	—
321	C₁₁×C₂²⋊C₄	—	2	1	no	—
322	C₁₁×C₂²⋊C₄	—	2	2	no	—
323	C₄²×C₁₁	—	2	2	no	—
324	C₄²×C₁₁	—	2	1	no	—
325	C₄²×C₁₁	—	2	1	no	—
326	C₄²×C₁₁	—	2	2	no	—
327	C₄²×C₁₁	—	2	2	no	—
328	C₄²×C₁₁	—	2	1	no	—
329	C₄²×C₁₁	C₂×D₄	1	2	yes	—
330	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
331	C₄²×C₁₁	C₂×D₄	1	2	yes	—
332	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
333	C₄²×C₁₁	C₂⁴	1	2	yes	—
334	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
335	C₄²×C₁₁	C₂⁴	1	2	yes	—
336	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
337	Q₈×#41	C₂×C₁₁	1	1	yes	characteristic, complemented
338	C₂×#554	C₂×C₁₁	1	1	yes	characteristic, complemented
339	#3389	C₂×C₁₁	1	4	yes	complemented
340	#3388	C₂×C₁₁	1	4	yes	complemented
341	#3385	C₂×C₁₁	1	2	yes	complemented
342	#3384	C₂×C₁₁	1	2	yes	complemented
343	#3381	C₂×C₁₁	1	2	yes	complemented
344	#3380	C₂×C₁₁	1	2	yes	complemented
345	#3166	C₂×C₁₁	1	2	yes	complemented
346	#3165	C₂×C₁₁	1	1	yes	characteristic, complemented
347	#3080	C₂×C₁₁	1	2	yes	complemented
348	#3079	C₂×C₁₁	1	1	yes	characteristic, complemented
349	#3077	C₂×C₁₁	1	1	yes	characteristic, complemented
350	#3077	C₂×C₁₁	1	2	yes	complemented
351	Q₈×M₁₆	C₂×C₁₁	1	1	yes	characteristic, complemented
352	C₄×AGL(1,ℤ/8)	C₂×C₁₁	1	1	yes	characteristic
353	C₄×AGL(1,ℤ/8)	C₂×C₁₁	1	2	yes	—
354	C₂³×C₁₁	—	2	4	no	—
355	C₂³×C₁₁	—	2	1	no	—
356	C₂³×C₁₁	—	2	2	no	—
357	C₂³×C₁₁	—	4	2	no	—
358	C₂³×C₁₁	—	4	2	no	—
359	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
360	Q₈×C₁₁	—	2	2	no	—
361	Q₈×C₁₁	—	2	2	no	—
362	Q₈×C₁₁	—	2	1	no	—
363	Q₈×C₁₁	—	4	2	no	—
364	Q₈×C₁₁	—	4	4	no	—
365	Q₈×C₁₁	—	4	2	no	—
366	Q₈×C₁₁	—	8	2	no	—
367	Q₈×C₁₁	—	8	1	no	—
368	Q₈×C₁₁	—	8	2	no	—
369	Q₈×C₁₁	—	8	2	no	—
370	Q₈×C₁₁	C₂²×Q₈	1	2	yes	—
371	D₄×C₁₁	—	2	4	no	—
372	D₄×C₁₁	—	2	4	no	—
373	D₄×C₁₁	—	2	2	no	—
374	D₄×C₁₁	—	2	1	no	—
375	D₄×C₁₁	C₂²×Q₈	1	2	yes	—
376	D₄×C₁₁	C₂²×Q₈	1	4	yes	—
377	C₂×C₄×C₁₁	—	2	1	no	—
378	C₂×C₄×C₁₁	—	2	4	no	—
379	C₂×C₄×C₁₁	—	2	2	no	—
380	C₂×C₄×C₁₁	—	2	2	no	—
381	C₂×C₄×C₁₁	—	2	1	no	—
382	C₂×C₄×C₁₁	—	2	2	no	—
383	C₂×C₄×C₁₁	—	2	1	no	—
384	C₂×C₄×C₁₁	—	2	2	no	—
385	C₂×C₄×C₁₁	—	2	4	no	—
386	C₂×C₄×C₁₁	—	4	2	no	—
387	C₂×C₄×C₁₁	—	4	2	no	—
388	C₂×C₄×C₁₁	—	4	1	no	—
389	C₂×C₄×C₁₁	—	4	4	no	—
390	C₂×C₄×C₁₁	—	4	4	no	—
391	C₂×C₄×C₁₁	—	4	2	no	—
392	C₂×C₄×C₁₁	—	4	4	no	—
393	C₂×C₄×C₁₁	—	4	4	no	—
394	C₂×C₄×C₁₁	—	4	2	no	—
395	C₂×C₄×C₁₁	—	8	2	no	—
396	C₂×C₄×C₁₁	—	8	1	no	—
397	C₂×C₄×C₁₁	—	8	4	no	—
398	C₂×C₄×C₁₁	—	8	4	no	—
399	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
400	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
401	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
402	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
403	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
404	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
405	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
406	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
407	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
408	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
409	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
410	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
411	C₈×C₁₁	—	2	2	no	—
412	C₈×C₁₁	—	2	4	no	—
413	C₈×C₁₁	C₂²×Q₈	1	4	yes	—
414	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	1	yes	characteristic
415	Q₈²	C₂²×C₁₁	1	1	yes	characteristic, complemented
416	#557	C₂²×C₁₁	1	1	yes	characteristic, complemented
417	#557	C₂²×C₁₁	1	2	yes	complemented
418	#554	—	2	1	no	—
419	#554	—	2	2	no	—
420	#554	—	2	1	no	—
421	#554	—	2	1	no	—
422	#554	—	2	2	no	—
423	#554	C₂²×C₁₁	1	2	yes	—
424	#554	C₂²×C₁₁	1	2	yes	—
425	#554	C₂²×C₁₁	1	4	yes	—
426	#554	C₂²×C₁₁	1	1	yes	characteristic, complemented
427	#554	C₂²×C₁₁	1	2	yes	complemented
428	D₄×Q₈	—	2	1	no	—
429	D₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
430	#533	—	2	2	no	—
431	#533	—	2	1	no	—
432	#533	C₂²×C₁₁	1	1	yes	characteristic
433	#533	C₂²×C₁₁	1	2	yes	—
434	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
435	C₂×#125	C₂²×C₁₁	1	2	yes	—
436	C₂×C₂²⋊Q₈	—	2	1	no	—
437	C₂×C₂²⋊Q₈	—	2	2	no	—
438	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
439	C₄×#41	C₂²×C₁₁	1	2	yes	—
440	C₂×C₄×Q₈	—	2	1	no	—
441	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
442	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
443	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
444	C₂²×C₄⋊C₄	—	2	1	no	—
445	#501	C₂²×C₁₁	1	4	yes	complemented
446	#501	C₂²×C₁₁	1	4	yes	complemented
447	#501	C₂²×C₁₁	1	4	yes	complemented
448	#500	C₂²×C₁₁	1	2	yes	complemented
449	#499	C₂²×C₁₁	1	4	yes	complemented
450	#499	C₂²×C₁₁	1	4	yes	complemented
451	#498	C₂²×C₁₁	1	2	yes	complemented
452	#479	C₂²×C₁₁	1	4	yes	complemented
453	#479	C₂²×C₁₁	1	4	yes	complemented
454	#478	C₂²×C₁₁	1	4	yes	—
455	#478	C₂²×C₁₁	1	4	yes	—
456	#478	C₂²×C₁₁	1	4	yes	—
457	#478	C₂²×C₁₁	1	4	yes	complemented
458	#478	C₂²×C₁₁	1	4	yes	complemented
459	#477	C₂²×C₁₁	1	2	yes	complemented
460	#476	C₂²×C₁₁	1	2	yes	—
461	#476	C₂²×C₁₁	1	4	yes	—
462	#476	C₂²×C₁₁	1	2	yes	complemented
463	#475	C₂²×C₁₁	1	2	yes	complemented
464	#474	C₂²×C₁₁	1	2	yes	—
465	#474	C₂²×C₁₁	1	4	yes	—
466	#474	C₂²×C₁₁	1	2	yes	complemented
467	#446	C₂²×C₁₁	1	2	yes	complemented
468	#446	C₂²×C₁₁	1	4	yes	complemented
469	C₈×Q₈	C₂²×C₁₁	1	2	yes	complemented
470	#442	C₂²×C₁₁	1	4	yes	—
471	#442	C₂²×C₁₁	1	2	yes	—
472	#440	C₂²×C₁₁	1	4	yes	—
473	#440	C₂²×C₁₁	1	2	yes	—
474	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
475	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	—
476	C₄×D₈	C₂²×C₁₁	1	2	yes	—
477	C₄×D₈	C₂²×C₁₁	1	4	yes	—
478	#428	C₂²×C₁₁	1	2	yes	—
479	#428	C₂²×C₁₁	1	2	yes	—
480	#428	C₂²×C₁₁	1	2	yes	—
481	#428	C₂²×C₁₁	1	2	yes	—
482	#428	C₂²×C₁₁	1	1	yes	characteristic
483	#423	C₂²×C₁₁	1	1	yes	characteristic
484	#423	C₂²×C₁₁	1	2	yes	—
485	#418	C₂²×C₁₁	1	2	yes	—
486	#418	C₂²×C₁₁	1	1	yes	characteristic
487	#417	C₂²×C₁₁	1	2	yes	—
488	#417	C₂²×C₁₁	1	1	yes	characteristic
489	C₄×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
490	C₄×M₁₆	C₂²×C₁₁	1	2	yes	—
491	C₂²×C₁₁	—	2	1	no	—
492	C₂²×C₁₁	—	2	1	no	—
493	C₂²×C₁₁	—	2	2	no	—
494	C₂²×C₁₁	—	2	4	no	—
495	C₂²×C₁₁	—	4	8	no	—
496	C₂²×C₁₁	—	4	2	no	—
497	C₂²×C₁₁	—	4	1	no	—
498	C₂²×C₁₁	—	4	1	no	—
499	C₂²×C₁₁	—	4	2	no	—
500	C₂²×C₁₁	D₄×Q₈	1	2	yes	—
501	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
502	C₄×C₁₁	—	2	2	no	—
503	C₄×C₁₁	—	2	2	no	—
504	C₄×C₁₁	—	2	1	no	—
505	C₄×C₁₁	—	2	1	no	—
506	C₄×C₁₁	—	2	2	no	—
507	C₄×C₁₁	—	2	1	no	—
508	C₄×C₁₁	—	2	2	no	—
509	C₄×C₁₁	—	2	2	no	—
510	C₄×C₁₁	—	4	4	no	—
511	C₄×C₁₁	—	4	2	no	—
512	C₄×C₁₁	—	4	1	no	—
513	C₄×C₁₁	—	4	2	no	—
514	C₄×C₁₁	—	4	2	no	—
515	C₄×C₁₁	—	4	1	no	—
516	C₄×C₁₁	D₄×Q₈	1	2	yes	—
517	C₄×C₁₁	#575	1	2	yes	—
518	C₄×C₁₁	C₂³×Q₈	1	1	yes	characteristic
519	C₄×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
520	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
521	C₂²×Q₈	—	2	1	no	—
522	C₂²×Q₈	—	2	1	no	—
523	C₂²×Q₈	D₄×C₁₁	1	1	yes	characteristic
524	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
525	C₂³×C₄	—	2	1	no	—
526	C₂³×C₄	—	2	2	no	—
527	AGL(1,ℤ/8)	Q₈×C₁₁	1	8	yes	complemented
528	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
529	C₂×D₈	C₂³×C₁₁	1	2	yes	—
530	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
531	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
532	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
533	C₄⋊Q₈	—	2	1	no	—
534	C₄⋊Q₈	—	2	2	no	—
535	C₄⋊Q₈	—	2	1	no	—
536	C₄⋊Q₈	—	2	2	no	—
537	C₄⋊Q₈	—	2	1	no	—
538	C₄⋊Q₈	—	2	1	no	—
539	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
540	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
541	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
542	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
543	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
544	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
545	#125	—	2	2	no	—
546	#125	—	2	2	no	—
547	#125	—	2	2	no	—
548	#125	—	2	2	no	—
549	#125	—	2	2	no	—
550	#125	C₂³×C₁₁	1	4	yes	—
551	#125	C₂³×C₁₁	1	4	yes	—
552	#125	C₂³×C₁₁	1	2	yes	—
553	#125	C₂³×C₁₁	1	2	yes	—
554	#125	C₂³×C₁₁	1	2	yes	—
555	C₂²⋊Q₈	—	2	2	no	—
556	C₂²⋊Q₈	—	2	2	no	—
557	C₂²⋊Q₈	—	2	4	no	—
558	C₂²⋊Q₈	—	2	1	no	—
559	C₂²⋊Q₈	—	2	2	no	—
560	C₂²⋊Q₈	—	2	1	no	—
561	C₂²⋊Q₈	—	2	2	no	—
562	C₂²⋊Q₈	—	2	1	no	—
563	C₂²⋊Q₈	—	2	2	no	—
564	C₂²⋊Q₈	—	2	4	no	—
565	C₂²⋊Q₈	—	2	4	no	—
566	C₂²⋊Q₈	—	2	4	no	—
567	C₂²⋊Q₈	—	2	4	no	—
568	C₂²⋊Q₈	—	2	1	no	—
569	C₂²⋊Q₈	—	2	2	no	—
570	C₂²⋊Q₈	—	2	2	no	—
571	C₂²⋊Q₈	—	2	2	no	—
572	C₂²⋊Q₈	—	2	2	no	—
573	C₄×Q₈	—	2	1	no	—
574	C₄×Q₈	—	2	1	no	—
575	C₄×Q₈	—	2	2	no	—
576	C₄×Q₈	—	2	2	no	—
577	C₄×Q₈	—	2	1	no	—
578	C₄×Q₈	—	2	2	no	—
579	C₄×Q₈	—	2	1	no	—
580	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
581	C₄×Q₈	D₄×C₁₁	1	2	yes	—
582	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
583	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
584	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
585	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
586	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
587	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
588	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
589	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
590	C₄×D₄	—	2	1	no	—
591	C₄×D₄	—	2	2	no	—
592	C₄×D₄	—	2	1	no	—
593	C₄×D₄	—	2	2	no	—
594	C₄×D₄	—	2	2	no	—
595	C₄×D₄	—	2	1	no	—
596	C₄×D₄	—	2	2	no	—
597	C₄×D₄	—	2	1	no	—
598	C₄×D₄	C₂³×C₁₁	1	2	yes	—
599	C₄×D₄	C₂³×C₁₁	1	4	yes	—
600	C₄×D₄	C₂³×C₁₁	1	4	yes	—
601	C₄×D₄	C₂³×C₁₁	1	2	yes	—
602	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
603	C₄×D₄	C₂³×C₁₁	1	2	yes	—
604	C₄×D₄	C₂³×C₁₁	1	2	yes	—
605	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
606	#117	—	2	2	no	—
607	#117	—	2	1	no	—
608	#117	C₂³×C₁₁	1	1	yes	characteristic
609	#117	C₂³×C₁₁	1	2	yes	—
610	C₂×C₄⋊C₄	—	2	2	no	—
611	C₂×C₄⋊C₄	—	2	1	no	—
612	C₂×C₄⋊C₄	—	2	2	no	—
613	C₂×C₄⋊C₄	—	2	2	no	—
614	C₂×C₄⋊C₄	—	2	4	no	—
615	C₂×C₄⋊C₄	—	2	2	no	—
616	C₂×C₄⋊C₄	—	2	1	no	—
617	C₂×C₄⋊C₄	—	2	2	no	—
618	C₂×C₄⋊C₄	D₄×C₁₁	1	1	yes	characteristic
619	C₂×C₄⋊C₄	D₄×C₁₁	1	2	yes	—
620	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
621	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
622	C₂×C₂²⋊C₄	—	2	1	no	—
623	C₂×C₂²⋊C₄	—	2	2	no	—
624	C₂×C₄²	—	2	2	no	—
625	C₂×C₄²	—	2	1	no	—
626	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
627	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
628	#107	C₂³×C₁₁	1	2	yes	—
629	#107	C₂³×C₁₁	1	4	yes	—
630	#107	C₂³×C₁₁	1	4	yes	—
631	#107	C₂³×C₁₁	1	4	yes	—
632	#107	C₂³×C₁₁	1	4	yes	—
633	#106	C₂³×C₁₁	1	4	yes	—
634	#106	C₂³×C₁₁	1	2	yes	—
635	#106	C₂³×C₁₁	1	4	yes	—
636	#106	C₂³×C₁₁	1	4	yes	—
637	#106	C₂³×C₁₁	1	4	yes	—
638	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
639	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
640	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
641	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
642	#103	C₂³×C₁₁	1	4	yes	—
643	#103	C₂³×C₁₁	1	2	yes	—
644	#102	C₂³×C₁₁	1	4	yes	—
645	#102	C₂³×C₁₁	1	2	yes	—
646	#102	C₂³×C₁₁	1	4	yes	—
647	#102	C₂³×C₁₁	1	2	yes	—
648	#102	C₂³×C₁₁	1	2	yes	—
649	#102	C₂³×C₁₁	1	4	yes	—
650	#97	C₂³×C₁₁	1	2	yes	—
651	#97	C₂³×C₁₁	1	4	yes	—
652	C₄×C₈	C₂³×C₁₁	1	2	yes	—
653	C₄×C₈	C₂³×C₁₁	1	4	yes	—
654	C₂×C₁₁	—	2	2	no	—
655	C₂×C₁₁	—	4	2	no	—
656	C₂×C₁₁	—	4	4	no	—
657	C₂×C₁₁	C₂×D₄×Q₈	1	1	yes	characteristic
658	C₂×C₁₁	C₂×#575	1	1	yes	characteristic
659	C₂×C₁₁	#3585	1	1	yes	characteristic
660	C₂⁴	—	2	1	no	—
661	#41	—	2	2	no	—
662	#41	C₂×Q₈×C₁₁	1	4	yes	—
663	C₂×Q₈	—	2	2	no	—
664	C₂×Q₈	—	2	1	no	—
665	C₂×Q₈	—	2	1	no	—
666	C₂×Q₈	—	2	2	no	—
667	C₂×Q₈	—	2	2	no	—
668	C₂×Q₈	—	2	2	no	—
669	C₂×Q₈	—	4	2	no	—
670	C₂×Q₈	—	4	4	no	—
671	C₂×Q₈	—	8	2	no	—
672	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
673	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
674	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
675	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
676	C₂×D₄	—	2	1	no	—
677	C₂×D₄	—	2	1	no	—
678	C₂×D₄	—	2	2	no	—
679	C₂×D₄	C₂×Q₈×C₁₁	1	4	yes	complemented
680	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
681	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
682	C₂²×C₄	—	2	1	no	—
683	C₂²×C₄	—	2	1	no	—
684	C₂²×C₄	—	2	2	no	—
685	C₂²×C₄	—	2	2	no	—
686	C₂²×C₄	—	2	1	no	—
687	C₂²×C₄	—	2	2	no	—
688	C₂²×C₄	—	2	2	no	—
689	C₂²×C₄	—	2	1	no	—
690	C₂²×C₄	—	2	2	no	—
691	C₂²×C₄	—	2	4	no	—
692	C₂²×C₄	—	2	4	no	—
693	C₂²×C₄	—	4	4	no	—
694	C₂²×C₄	—	8	4	no	—
695	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
696	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
697	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
698	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
699	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
700	SD₁₆	C₂×Q₈×C₁₁	1	8	yes	complemented
701	D₈	C₂×Q₈×C₁₁	1	8	yes	complemented
702	M₁₆	—	2	2	no	—
703	M₁₆	—	2	4	no	—
704	M₁₆	C₂×Q₈×C₁₁	1	4	yes	complemented
705	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
706	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
707	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
708	C₄⋊C₄	—	2	4	no	—
709	C₄⋊C₄	—	2	4	no	—
710	C₄⋊C₄	—	2	2	no	—
711	C₄⋊C₄	—	2	2	no	—
712	C₄⋊C₄	—	2	2	no	—
713	C₄⋊C₄	—	2	2	no	—
714	C₄⋊C₄	—	2	2	no	—
715	C₄⋊C₄	—	2	2	no	—
716	C₄⋊C₄	—	2	1	no	—
717	C₄⋊C₄	—	2	4	no	—
718	C₄⋊C₄	—	2	4	no	—
719	C₄⋊C₄	—	2	1	no	—
720	C₄⋊C₄	—	2	2	no	—
721	C₄⋊C₄	—	2	2	no	—
722	C₄⋊C₄	—	2	1	no	—
723	C₄⋊C₄	—	2	1	no	—
724	C₄⋊C₄	—	2	2	no	—
725	C₄⋊C₄	—	2	1	no	—
726	C₄⋊C₄	—	2	2	no	—
727	C₄⋊C₄	—	2	2	no	—
728	C₄⋊C₄	—	2	2	no	—
729	C₄⋊C₄	—	2	2	no	—
730	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
731	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
732	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
733	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
734	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
735	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
736	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
737	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
738	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
739	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
740	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
741	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
742	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
743	C₂²⋊C₄	—	2	1	no	—
744	C₂²⋊C₄	—	2	2	no	—
745	C₂²⋊C₄	—	2	2	no	—
746	C₂²⋊C₄	—	2	2	no	—
747	C₂²⋊C₄	—	2	4	no	—
748	C₂²⋊C₄	—	2	4	no	—
749	C₂²⋊C₄	—	2	2	no	—
750	C₂²⋊C₄	—	2	1	no	—
751	C₂²⋊C₄	—	2	1	no	—
752	C₂²⋊C₄	—	2	2	no	—
753	C₄²	—	2	2	no	—
754	C₄²	—	2	1	no	—
755	C₄²	—	2	1	no	—
756	C₄²	—	2	2	no	—
757	C₄²	—	2	2	no	—
758	C₄²	—	2	1	no	—
759	C₄²	C₂×D₄×C₁₁	1	2	yes	—
760	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
761	C₄²	C₂×D₄×C₁₁	1	2	yes	—
762	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
763	C₄²	C₂⁴×C₁₁	1	2	yes	—
764	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
765	C₄²	C₂⁴×C₁₁	1	2	yes	—
766	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
767	C₁₁	#61367	1	1	yes	characteristic, direct product factor, Sylow
768	C₂³	—	2	4	no	—
769	C₂³	—	2	1	no	—
770	C₂³	—	2	2	no	—
771	C₂³	—	4	2	no	—
772	C₂³	—	4	2	no	—
773	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
774	Q₈	—	2	2	no	—
775	Q₈	—	2	2	no	—
776	Q₈	—	2	1	no	—
777	Q₈	—	4	2	no	—
778	Q₈	—	4	4	no	—
779	Q₈	—	4	2	no	—
780	Q₈	—	8	2	no	—
781	Q₈	—	8	1	no	—
782	Q₈	—	8	2	no	—
783	Q₈	—	8	2	no	—
784	Q₈	C₂²×Q₈×C₁₁	1	2	yes	—
785	D₄	—	2	4	no	—
786	D₄	—	2	4	no	—
787	D₄	—	2	2	no	—
788	D₄	—	2	1	no	—
789	D₄	C₂²×Q₈×C₁₁	1	2	yes	—
790	D₄	C₂²×Q₈×C₁₁	1	4	yes	—
791	C₂×C₄	—	2	1	no	—
792	C₂×C₄	—	2	4	no	—
793	C₂×C₄	—	2	2	no	—
794	C₂×C₄	—	2	2	no	—
795	C₂×C₄	—	2	1	no	—
796	C₂×C₄	—	2	2	no	—
797	C₂×C₄	—	2	1	no	—
798	C₂×C₄	—	2	2	no	—
799	C₂×C₄	—	2	4	no	—
800	C₂×C₄	—	4	2	no	—
801	C₂×C₄	—	4	2	no	—
802	C₂×C₄	—	4	1	no	—
803	C₂×C₄	—	4	4	no	—
804	C₂×C₄	—	4	4	no	—
805	C₂×C₄	—	4	2	no	—
806	C₂×C₄	—	4	4	no	—
807	C₂×C₄	—	4	4	no	—
808	C₂×C₄	—	4	2	no	—
809	C₂×C₄	—	8	2	no	—
810	C₂×C₄	—	8	1	no	—
811	C₂×C₄	—	8	4	no	—
812	C₂×C₄	—	8	4	no	—
813	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
814	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
815	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
816	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
817	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
818	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
819	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
820	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
821	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
822	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
823	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
824	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
825	C₈	—	2	2	no	—
826	C₈	—	2	4	no	—
827	C₈	C₂²×Q₈×C₁₁	1	4	yes	—
828	C₂²	—	2	1	no	—
829	C₂²	—	2	1	no	—
830	C₂²	—	2	2	no	—
831	C₂²	—	2	4	no	—
832	C₂²	—	4	8	no	—
833	C₂²	—	4	1	no	—
834	C₂²	—	4	2	no	—
835	C₂²	—	4	2	no	—
836	C₂²	—	4	1	no	—
837	C₂²	D₄×Q₈×C₁₁	1	2	yes	—
838	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
839	C₄	—	2	2	no	—
840	C₄	—	2	1	no	—
841	C₄	—	2	2	no	—
842	C₄	—	2	2	no	—
843	C₄	—	2	2	no	—
844	C₄	—	2	2	no	—
845	C₄	—	2	1	no	—
846	C₄	—	2	1	no	—
847	C₄	—	4	2	no	—
848	C₄	—	4	2	no	—
849	C₄	—	4	1	no	—
850	C₄	—	4	4	no	—
851	C₄	—	4	2	no	—
852	C₄	—	4	1	no	—
853	C₄	D₄×Q₈×C₁₁	1	2	yes	—
854	C₄	C₁₁×#575	1	2	yes	—
855	C₄	C₂³×Q₈×C₁₁	1	1	yes	characteristic
856	C₄	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
857	C₂	—	2	2	no	—
858	C₂	—	4	4	no	—
859	C₂	—	4	2	no	—
860	C₂	C₂×D₄×Q₈×C₁₁	1	1	yes	characteristic
861	C₂	C₂×C₁₁×#575	1	1	yes	characteristic
862	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	C₂×C₁₁×AGL(1,ℤ/8)	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₂×C₄×Q₈×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. Q₈×C₁₁×#41	C₂	semidirect
2. C₂×C₁₁×#554	C₂	semidirect
3. C₁₁×#3389	C₂	semidirect
4. C₁₁×#3388	C₂	semidirect
5. C₁₁×#3385	C₂	semidirect
6. C₁₁×#3384	C₂	semidirect
7. C₁₁×#3381	C₂	semidirect
8. C₁₁×#3380	C₂	semidirect
9. C₁₁×#3166	C₂	semidirect
10. C₁₁×#3165	C₂	semidirect
11. C₁₁×#3080	C₂	semidirect
12. C₁₁×#3079	C₂	semidirect
13. C₁₁×#3077	C₂	semidirect
14. C₁₁×#3077	C₂	semidirect
15. Q₈×C₁₁×M₁₆	C₂	semidirect
19. Q₈²×C₁₁	C₂²	semidirect
20. C₁₁×#557	C₂²	semidirect
21. C₁₁×#557	C₂²	semidirect
30. C₁₁×#554	C₂²	semidirect
31. C₁₁×#554	C₂²	semidirect
33. D₄×Q₈×C₁₁	C₂²	semidirect
49. C₁₁×#501	C₂²	semidirect
50. C₁₁×#501	C₂²	semidirect
51. C₁₁×#501	C₂²	semidirect
52. C₁₁×#500	C₂²	semidirect
53. C₁₁×#499	C₂²	semidirect
54. C₁₁×#499	C₂²	semidirect
55. C₁₁×#498	C₂²	semidirect
56. C₁₁×#479	C₂²	semidirect
57. C₁₁×#479	C₂²	semidirect
61. C₁₁×#478	C₂²	semidirect
62. C₁₁×#478	C₂²	semidirect
63. C₁₁×#477	C₂²	semidirect
66. C₁₁×#476	C₂²	semidirect
67. C₁₁×#475	C₂²	semidirect
70. C₁₁×#474	C₂²	semidirect
71. C₁₁×#446	C₂²	semidirect
72. C₁₁×#446	C₂²	semidirect
73. C₈×Q₈×C₁₁	C₂²	semidirect
102. C₁₁×AGL(1,ℤ/8)	Q₈	semidirect
229. #61367	C₁₁	direct (N × H)
249. C₂×D₄×C₁₁	C₂×Q₈	semidirect
270. C₁₁×SD₁₆	C₂×Q₈	semidirect
271. C₁₁×D₈	C₂×Q₈	semidirect
274. C₁₁×M₁₆	C₂×Q₈	semidirect
337. Q₈×#41	C₂×C₁₁	semidirect
338. C₂×#554	C₂×C₁₁	semidirect
339. #3389	C₂×C₁₁	semidirect
340. #3388	C₂×C₁₁	semidirect
341. #3385	C₂×C₁₁	semidirect
342. #3384	C₂×C₁₁	semidirect
343. #3381	C₂×C₁₁	semidirect
344. #3380	C₂×C₁₁	semidirect
345. #3166	C₂×C₁₁	semidirect
346. #3165	C₂×C₁₁	semidirect
347. #3080	C₂×C₁₁	semidirect
348. #3079	C₂×C₁₁	semidirect
349. #3077	C₂×C₁₁	semidirect
350. #3077	C₂×C₁₁	semidirect
351. Q₈×M₁₆	C₂×C₁₁	semidirect
415. Q₈²	C₂²×C₁₁	semidirect
416. #557	C₂²×C₁₁	semidirect
417. #557	C₂²×C₁₁	semidirect
426. #554	C₂²×C₁₁	semidirect
427. #554	C₂²×C₁₁	semidirect
429. D₄×Q₈	C₂²×C₁₁	semidirect
445. #501	C₂²×C₁₁	semidirect
446. #501	C₂²×C₁₁	semidirect
447. #501	C₂²×C₁₁	semidirect
448. #500	C₂²×C₁₁	semidirect
449. #499	C₂²×C₁₁	semidirect
450. #499	C₂²×C₁₁	semidirect
451. #498	C₂²×C₁₁	semidirect
452. #479	C₂²×C₁₁	semidirect
453. #479	C₂²×C₁₁	semidirect
457. #478	C₂²×C₁₁	semidirect
458. #478	C₂²×C₁₁	semidirect
459. #477	C₂²×C₁₁	semidirect
462. #476	C₂²×C₁₁	semidirect
463. #475	C₂²×C₁₁	semidirect
466. #474	C₂²×C₁₁	semidirect
467. #446	C₂²×C₁₁	semidirect
468. #446	C₂²×C₁₁	semidirect
469. C₈×Q₈	C₂²×C₁₁	semidirect
527. AGL(1,ℤ/8)	Q₈×C₁₁	semidirect
679. C₂×D₄	C₂×Q₈×C₁₁	semidirect
700. SD₁₆	C₂×Q₈×C₁₁	semidirect
701. D₈	C₂×Q₈×C₁₁	semidirect
704. M₁₆	C₂×Q₈×C₁₁	semidirect
767. C₁₁	#61367	direct (N × H)

Maximal subgroups

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

subgroup	index
Q₈×C₁₁×#41	2
C₂×C₁₁×#554	2
C₁₁×#3389	2
C₁₁×#3388	2
C₁₁×#3385	2
C₁₁×#3384	2
C₁₁×#3381	2
C₁₁×#3380	2
C₁₁×#3166	2
C₁₁×#3165	2
C₁₁×#3080	2
C₁₁×#3079	2
C₁₁×#3077	2
Q₈×C₁₁×M₁₆	2
C₄×C₁₁×AGL(1,ℤ/8)	2
#61367	11

Subgroups — C11×#61367 #14638560

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61367 #14638560