Subgroups — C₁₁×#61668 #14638861

Order 2816.

2200 conjugacy classes of subgroups.

The subgroup lattice has 884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3548	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3498	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3333	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3332	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3295	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3294	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3287	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3284	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3274	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3272	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3208	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#3205	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3198	C₂	1	4	yes	maximal, complemented
14	C₁₁×#3107	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#3106	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#3012	C₂	1	4	yes	maximal, complemented
17	C₁₁×#2979	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₁×H(5,𝔽₂)	C₂²	1	2	yes	—
19	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
20	C₂×C₁₁×#135	C₂²	1	4	yes	complemented
21	C₁₁×#562	—	2	2	no	—
22	C₁₁×#554	—	2	1	no	—
23	C₁₁×#554	C₂²	1	2	yes	complemented
24	C₁₁×#550	—	2	1	no	—
25	C₁₁×#550	C₂²	1	2	yes	—
26	C₁₁×#550	C₂²	1	2	yes	—
27	C₁₁×#550	C₂²	1	2	yes	complemented
28	C₁₁×#547	C₂²	1	2	yes	complemented
29	C₁₁×#547	C₂²	1	2	yes	complemented
30	D₄²×C₁₁	—	2	2	no	—
31	D₄²×C₁₁	—	2	2	no	—
32	D₄²×C₁₁	C₂²	1	2	yes	—
33	D₄²×C₁₁	C₂²	1	2	yes	—
34	C₁₁×#540	—	2	2	no	—
35	C₁₁×#537	—	2	2	no	—
36	C₁₁×#537	C₂²	1	4	yes	complemented
37	C₁₁×#535	—	2	2	no	—
38	C₁₁×#535	C₂²	1	2	yes	—
39	C₁₁×#533	C₂²	1	1	yes	characteristic, complemented
40	C₁₁×#532	—	2	1	no	—
41	C₁₁×#532	C₂²	1	1	yes	characteristic
42	C₁₁×#532	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₁₁×#127	—	2	1	no	—
44	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic
45	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
46	C₁₁×#493	C₂²	1	2	yes	complemented
47	C₁₁×#492	C₂²	1	2	yes	complemented
48	C₁₁×#486	C₂²	1	2	yes	complemented
49	C₁₁×#486	C₂²	1	2	yes	complemented
50	C₁₁×#485	C₂²	1	2	yes	complemented
51	C₁₁×#482	C₂²	1	2	yes	complemented
52	C₁₁×#481	C₂²	1	4	yes	complemented
53	C₁₁×#480	C₂²	1	4	yes	complemented
54	C₁₁×#477	C₂²	1	1	yes	characteristic, complemented
55	C₁₁×#476	C₂²	1	1	yes	characteristic, complemented
56	C₁₁×#475	C₂²	1	1	yes	characteristic, complemented
57	C₁₁×#474	C₂²	1	1	yes	characteristic, complemented
58	C₁₁×#469	C₂²	1	4	yes	complemented
59	C₁₁×#468	C₂²	1	4	yes	complemented
60	C₁₁×#466	C₂²	1	4	yes	complemented
61	C₁₁×#465	C₂²	1	4	yes	complemented
62	C₁₁×#462	C₂²	1	1	yes	characteristic, complemented
63	C₁₁×#461	C₂²	1	1	yes	characteristic, complemented
64	C₁₁×#460	C₂²	1	2	yes	complemented
65	C₁₁×#460	C₂²	1	2	yes	complemented
66	C₁₁×#460	C₂²	1	1	yes	characteristic, complemented
67	C₁₁×#459	C₂²	1	2	yes	complemented
68	C₁₁×#459	C₂²	1	2	yes	complemented
69	C₁₁×#459	C₂²	1	1	yes	characteristic, complemented
70	C₁₁×#452	C₂²	1	2	yes	—
71	C₁₁×#452	C₂²	1	4	yes	complemented
72	C₁₁×#450	C₂²	1	4	yes	complemented
73	C₁₁×#450	C₂²	1	4	yes	complemented
74	C₁₁×#449	C₂²	1	2	yes	—
75	C₁₁×#449	C₂²	1	4	yes	complemented
76	C₁₁×#449	C₂²	1	4	yes	complemented
77	C₁₁×#449	C₂²	1	4	yes	complemented
78	C₁₁×#447	C₂²	1	4	yes	complemented
79	C₁₁×#447	C₂²	1	4	yes	complemented
80	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	complemented
81	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
82	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
83	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
84	C₁₁×#436	C₂²	1	2	yes	complemented
85	C₁₁×#436	C₂²	1	2	yes	complemented
86	C₈×D₄×C₁₁	C₂²	1	2	yes	complemented
87	C₈×D₄×C₁₁	C₂²	1	2	yes	complemented
88	C₁₁×#431	C₂²	1	1	yes	characteristic, complemented
89	C₁₁×#431	C₂²	1	1	yes	characteristic, complemented
90	C₁₁×#417	C₂²	1	4	yes	complemented
91	C₂×C₁₁×#102	C₂²	1	4	yes	complemented
92	C₁₁×#408	C₂²	1	4	yes	complemented
93	C₁₁×H(5,𝔽₂)	—	4	4	no	—
94	C₁₁×H(5,𝔽₂)	—	4	4	no	—
95	C₂×C₁₁×#41	—	2	2	no	—
96	C₂×C₁₁×#41	—	2	2	no	—
97	C₂×C₁₁×#41	—	2	1	no	—
98	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
99	C₂×C₁₁×#41	C₂³	1	4	yes	—
100	C₂×C₁₁×#41	C₂³	1	4	yes	—
101	C₂×C₁₁×#41	C₂³	1	2	yes	—
102	C₂²×D₄×C₁₁	—	2	2	no	—
103	C₂²×D₄×C₁₁	—	2	4	no	—
104	C₂²×D₄×C₁₁	—	2	2	no	—
105	C₂²×D₄×C₁₁	—	2	2	no	—
106	C₂²×D₄×C₁₁	—	2	1	no	—
107	C₂²×D₄×C₁₁	—	2	1	no	—
108	C₂²×D₄×C₁₁	C₂³	1	4	yes	—
109	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
110	C₁₁×AGL(1,ℤ/8)	—	4	8	no	—
111	C₁₁×#135	—	4	8	no	—
112	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
113	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
114	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
115	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
116	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
117	C₂×C₁₁×D₈	C₂³	1	2	yes	—
118	C₂×C₁₁×D₈	C₂³	1	4	yes	—
119	C₂×C₁₁×D₈	C₂³	1	4	yes	—
120	C₂×C₁₁×M₁₆	C₂³	1	4	yes	—
121	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
122	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
123	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
124	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
125	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
126	C₁₁×#127	—	2	2	no	—
127	C₁₁×#127	—	2	2	no	—
128	C₁₁×#127	—	2	2	no	—
129	C₁₁×#127	—	2	2	no	—
130	C₁₁×#127	—	2	1	no	—
131	C₁₁×#127	—	2	1	no	—
132	C₁₁×#127	D₄	1	1	yes	characteristic
133	C₁₁×#127	C₂³	1	2	yes	—
134	C₁₁×#127	C₂³	1	1	yes	characteristic
135	C₁₁×#127	C₂³	1	2	yes	—
136	C₁₁×#125	—	2	2	no	—
137	C₁₁×#125	—	2	1	no	—
138	C₁₁×#124	—	2	2	no	—
139	C₁₁×#124	—	2	1	no	—
140	C₁₁×#124	D₄	1	2	yes	—
141	C₁₁×#123	—	2	4	no	—
142	C₁₁×#123	—	2	4	no	—
143	C₁₁×C₂²⋊Q₈	—	2	4	no	—
144	C₁₁×C₂²⋊Q₈	—	2	1	no	—
145	C₁₁×C₂²⋊Q₈	—	2	2	no	—
146	C₁₁×C₂²⋊Q₈	—	2	4	no	—
147	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
148	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
149	C₁₁×#121	—	2	4	no	—
150	C₁₁×#121	—	2	4	no	—
151	C₁₁×#121	—	2	2	no	—
152	C₁₁×#121	—	2	4	no	—
153	C₁₁×#121	—	2	1	no	—
154	C₁₁×#121	—	2	2	no	—
155	C₁₁×#121	—	2	2	no	—
156	C₁₁×#121	—	2	4	no	—
157	C₁₁×#121	—	2	4	no	—
158	C₁₁×#121	—	2	4	no	—
159	C₁₁×#121	D₄	1	2	yes	—
160	C₁₁×#121	D₄	1	2	yes	—
161	C₁₁×#121	C₂³	1	2	yes	—
162	C₁₁×#121	C₂³	1	4	yes	—
163	C₁₁×#121	C₂³	1	4	yes	—
164	C₁₁×#121	C₂³	1	4	yes	—
165	C₁₁×#120	—	2	4	no	—
166	C₁₁×#120	—	2	4	no	—
167	C₁₁×#120	—	2	4	no	—
168	C₄×Q₈×C₁₁	—	2	1	no	—
169	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
170	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
171	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
172	C₄×D₄×C₁₁	—	2	2	no	—
173	C₄×D₄×C₁₁	—	2	1	no	—
174	C₄×D₄×C₁₁	—	2	1	no	—
175	C₄×D₄×C₁₁	—	2	2	no	—
176	C₄×D₄×C₁₁	—	2	2	no	—
177	C₄×D₄×C₁₁	—	2	2	no	—
178	C₄×D₄×C₁₁	—	2	1	no	—
179	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
180	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
181	C₄×D₄×C₁₁	C₂³	1	2	yes	—
182	C₄×D₄×C₁₁	C₂³	1	2	yes	—
183	C₄×D₄×C₁₁	C₂³	1	2	yes	—
184	C₁₁×#117	—	2	1	no	—
185	C₁₁×#117	—	2	1	no	—
186	C₁₁×#117	C₂³	1	1	yes	characteristic
187	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
188	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
189	C₂×C₄²×C₁₁	—	2	1	no	—
190	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
191	C₁₁×#107	C₂³	1	2	yes	—
192	C₁₁×#107	C₂³	1	2	yes	—
193	C₁₁×#106	C₂³	1	2	yes	—
194	C₁₁×#106	C₂³	1	2	yes	—
195	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
196	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
197	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
198	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
199	C₁₁×#103	C₂³	1	2	yes	—
200	C₁₁×#103	C₂³	1	2	yes	—
201	C₁₁×#103	C₂³	1	2	yes	—
202	C₁₁×#103	C₂³	1	2	yes	—
203	C₁₁×#102	C₂³	1	2	yes	—
204	C₁₁×#102	C₂³	1	2	yes	—
205	C₁₁×#102	C₂³	1	4	yes	—
206	C₁₁×#102	C₂³	1	4	yes	—
207	C₁₁×#102	C₂³	1	4	yes	—
208	C₁₁×#102	C₂³	1	4	yes	—
209	C₁₁×#102	C₂³	1	2	yes	—
210	C₁₁×#102	C₂³	1	2	yes	—
211	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
212	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
213	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
214	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
215	C₄×C₈×C₁₁	C₂³	1	2	yes	—
216	C₄×C₈×C₁₁	C₂³	1	2	yes	—
217	#61668	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
218	C₂⁴×C₁₁	—	2	4	no	—
219	C₂⁴×C₁₁	—	2	2	no	—
220	C₁₁×#41	—	2	2	no	—
221	C₁₁×#41	—	2	2	no	—
222	C₁₁×#41	—	2	8	no	—
223	C₁₁×#41	—	4	2	no	—
224	C₁₁×#41	—	4	2	no	—
225	C₁₁×#41	—	4	4	no	—
226	C₁₁×#41	—	4	8	no	—
227	C₁₁×#41	—	4	4	no	—
228	C₁₁×#41	—	4	4	no	—
229	C₁₁×#41	—	8	2	no	—
230	C₁₁×#41	—	8	4	no	—
231	C₂×Q₈×C₁₁	—	2	1	no	—
232	C₂×Q₈×C₁₁	—	2	1	no	—
233	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
234	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
235	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
236	C₂×D₄×C₁₁	—	2	1	no	—
237	C₂×D₄×C₁₁	—	2	8	no	—
238	C₂×D₄×C₁₁	—	2	4	no	—
239	C₂×D₄×C₁₁	—	2	4	no	—
240	C₂×D₄×C₁₁	—	2	4	no	—
241	C₂×D₄×C₁₁	—	2	2	no	—
242	C₂×D₄×C₁₁	—	2	4	no	—
243	C₂×D₄×C₁₁	—	2	4	no	—
244	C₂×D₄×C₁₁	—	2	1	no	—
245	C₂×D₄×C₁₁	—	2	2	no	—
246	C₂×D₄×C₁₁	—	2	2	no	—
247	C₂×D₄×C₁₁	—	2	4	no	—
248	C₂×D₄×C₁₁	—	2	2	no	—
249	C₂×D₄×C₁₁	—	2	2	no	—
250	C₂×D₄×C₁₁	—	2	2	no	—
251	C₂×D₄×C₁₁	—	2	1	no	—
252	C₂×D₄×C₁₁	—	4	4	no	—
253	C₂×D₄×C₁₁	—	4	2	no	—
254	C₂×D₄×C₁₁	—	4	2	no	—
255	C₂×D₄×C₁₁	—	4	8	no	—
256	C₂×D₄×C₁₁	—	4	16	no	—
257	C₂×D₄×C₁₁	—	8	2	no	—
258	C₂×D₄×C₁₁	—	8	2	no	—
259	C₂×D₄×C₁₁	—	8	4	no	—
260	C₂×D₄×C₁₁	—	8	4	no	—
261	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
262	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
263	C₂×D₄×C₁₁	C₂×D₄	1	4	yes	—
264	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
265	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
266	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
267	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
268	C₂²×C₄×C₁₁	—	2	1	no	—
269	C₂²×C₄×C₁₁	—	2	4	no	—
270	C₂²×C₄×C₁₁	—	2	1	no	—
271	C₂²×C₄×C₁₁	—	2	1	no	—
272	C₂²×C₄×C₁₁	—	2	2	no	—
273	C₂²×C₄×C₁₁	—	2	4	no	—
274	C₂²×C₄×C₁₁	—	2	4	no	—
275	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
276	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
277	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
278	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
279	C₁₁×Q₁₆	—	2	4	no	—
280	C₁₁×SD₁₆	—	2	4	no	—
281	C₁₁×SD₁₆	—	2	4	no	—
282	C₁₁×SD₁₆	—	4	4	no	—
283	C₁₁×SD₁₆	—	4	4	no	—
284	C₁₁×D₈	—	2	4	no	—
285	C₁₁×D₈	—	4	4	no	—
286	C₁₁×D₈	—	4	4	no	—
287	C₁₁×M₁₆	—	4	4	no	—
288	C₂×C₈×C₁₁	—	4	4	no	—
289	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
290	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
291	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
292	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
293	C₁₁×C₄⋊C₄	—	2	1	no	—
294	C₁₁×C₄⋊C₄	—	2	4	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	1	no	—
301	C₁₁×C₄⋊C₄	—	2	2	no	—
302	C₁₁×C₄⋊C₄	—	2	2	no	—
303	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
304	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
305	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
306	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
307	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
308	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
309	C₁₁×C₂²⋊C₄	—	2	2	no	—
310	C₁₁×C₂²⋊C₄	—	2	1	no	—
311	C₁₁×C₂²⋊C₄	—	2	4	no	—
312	C₁₁×C₂²⋊C₄	—	2	1	no	—
313	C₁₁×C₂²⋊C₄	—	2	1	no	—
314	C₁₁×C₂²⋊C₄	—	2	4	no	—
315	C₁₁×C₂²⋊C₄	—	2	4	no	—
316	C₁₁×C₂²⋊C₄	—	2	4	no	—
317	C₁₁×C₂²⋊C₄	—	2	2	no	—
318	C₁₁×C₂²⋊C₄	—	2	2	no	—
319	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
320	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
321	C₄²×C₁₁	—	2	1	no	—
322	C₄²×C₁₁	—	2	1	no	—
323	C₄²×C₁₁	—	2	1	no	—
324	C₄²×C₁₁	—	2	2	no	—
325	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
326	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
327	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
328	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
329	#3548	C₂×C₁₁	1	1	yes	characteristic, complemented
330	#3498	C₂×C₁₁	1	1	yes	characteristic, complemented
331	#3333	C₂×C₁₁	1	2	yes	complemented
332	#3332	C₂×C₁₁	1	2	yes	complemented
333	#3295	C₂×C₁₁	1	2	yes	complemented
334	#3294	C₂×C₁₁	1	2	yes	complemented
335	#3287	C₂×C₁₁	1	2	yes	complemented
336	#3284	C₂×C₁₁	1	2	yes	complemented
337	#3274	C₂×C₁₁	1	2	yes	complemented
338	#3272	C₂×C₁₁	1	2	yes	complemented
339	#3208	C₂×C₁₁	1	1	yes	characteristic, complemented
340	#3205	C₂×C₁₁	1	1	yes	characteristic, complemented
341	#3198	C₂×C₁₁	1	4	yes	complemented
342	#3107	C₂×C₁₁	1	1	yes	characteristic, complemented
343	#3106	C₂×C₁₁	1	1	yes	characteristic, complemented
344	#3012	C₂×C₁₁	1	4	yes	complemented
345	#2979	C₂×C₁₁	1	1	yes	characteristic, complemented
346	C₂³×C₁₁	—	2	1	no	—
347	C₂³×C₁₁	—	2	2	no	—
348	C₂³×C₁₁	—	2	4	no	—
349	C₂³×C₁₁	—	4	8	no	—
350	C₂³×C₁₁	—	4	4	no	—
351	C₂³×C₁₁	—	8	2	no	—
352	C₂³×C₁₁	—	8	4	no	—
353	C₂³×C₁₁	—	8	2	no	—
354	C₂³×C₁₁	—	8	4	no	—
355	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
356	C₂³×C₁₁	C₂²×D₄	1	4	yes	—
357	Q₈×C₁₁	—	2	1	no	—
358	Q₈×C₁₁	—	2	2	no	—
359	Q₈×C₁₁	—	2	2	no	—
360	Q₈×C₁₁	—	4	2	no	—
361	Q₈×C₁₁	—	4	2	no	—
362	Q₈×C₁₁	—	8	1	no	—
363	Q₈×C₁₁	H(5,𝔽₂)	1	2	yes	—
364	D₄×C₁₁	—	2	4	no	—
365	D₄×C₁₁	—	2	4	no	—
366	D₄×C₁₁	—	2	4	no	—
367	D₄×C₁₁	—	2	1	no	—
368	D₄×C₁₁	—	2	2	no	—
369	D₄×C₁₁	—	2	2	no	—
370	D₄×C₁₁	—	2	4	no	—
371	D₄×C₁₁	—	2	4	no	—
372	D₄×C₁₁	—	4	2	no	—
373	D₄×C₁₁	—	4	4	no	—
374	D₄×C₁₁	—	4	8	no	—
375	D₄×C₁₁	—	4	8	no	—
376	D₄×C₁₁	—	4	4	no	—
377	D₄×C₁₁	—	4	4	no	—
378	D₄×C₁₁	—	4	2	no	—
379	D₄×C₁₁	—	4	4	no	—
380	D₄×C₁₁	—	8	2	no	—
381	D₄×C₁₁	—	8	2	no	—
382	D₄×C₁₁	—	8	1	no	—
383	D₄×C₁₁	—	8	4	no	—
384	D₄×C₁₁	—	8	4	no	—
385	D₄×C₁₁	—	8	4	no	—
386	D₄×C₁₁	—	8	2	no	—
387	D₄×C₁₁	—	8	4	no	—
388	D₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
389	C₂×C₄×C₁₁	—	2	4	no	—
390	C₂×C₄×C₁₁	—	2	1	no	—
391	C₂×C₄×C₁₁	—	2	2	no	—
392	C₂×C₄×C₁₁	—	2	2	no	—
393	C₂×C₄×C₁₁	—	2	4	no	—
394	C₂×C₄×C₁₁	—	2	4	no	—
395	C₂×C₄×C₁₁	—	2	1	no	—
396	C₂×C₄×C₁₁	—	2	1	no	—
397	C₂×C₄×C₁₁	—	2	1	no	—
398	C₂×C₄×C₁₁	—	2	1	no	—
399	C₂×C₄×C₁₁	—	2	2	no	—
400	C₂×C₄×C₁₁	—	2	2	no	—
401	C₂×C₄×C₁₁	—	2	2	no	—
402	C₂×C₄×C₁₁	—	4	8	no	—
403	C₂×C₄×C₁₁	—	4	2	no	—
404	C₂×C₄×C₁₁	—	4	4	no	—
405	C₂×C₄×C₁₁	—	4	2	no	—
406	C₂×C₄×C₁₁	—	8	4	no	—
407	C₂×C₄×C₁₁	—	8	4	no	—
408	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
409	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
410	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
411	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
412	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
413	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
414	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
415	C₈×C₁₁	—	2	2	no	—
416	C₈×C₁₁	—	2	2	no	—
417	C₈×C₁₁	—	2	2	no	—
418	C₈×C₁₁	—	2	2	no	—
419	C₂×H(5,𝔽₂)	C₂²×C₁₁	1	2	yes	—
420	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	4	yes	complemented
421	C₂×#135	C₂²×C₁₁	1	4	yes	complemented
422	#562	—	2	2	no	—
423	#554	—	2	1	no	—
424	#554	C₂²×C₁₁	1	2	yes	complemented
425	#550	—	2	1	no	—
426	#550	C₂²×C₁₁	1	2	yes	—
427	#550	C₂²×C₁₁	1	2	yes	—
428	#550	C₂²×C₁₁	1	2	yes	complemented
429	#547	C₂²×C₁₁	1	2	yes	complemented
430	#547	C₂²×C₁₁	1	2	yes	complemented
431	D₄²	—	2	2	no	—
432	D₄²	—	2	2	no	—
433	D₄²	C₂²×C₁₁	1	2	yes	—
434	D₄²	C₂²×C₁₁	1	2	yes	—
435	#540	—	2	2	no	—
436	#537	—	2	2	no	—
437	#537	C₂²×C₁₁	1	4	yes	complemented
438	#535	—	2	2	no	—
439	#535	C₂²×C₁₁	1	2	yes	—
440	#533	C₂²×C₁₁	1	1	yes	characteristic, complemented
441	#532	—	2	1	no	—
442	#532	C₂²×C₁₁	1	1	yes	characteristic
443	#532	C₂²×C₁₁	1	1	yes	characteristic, complemented
444	C₂×#127	—	2	1	no	—
445	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic
446	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
447	#493	C₂²×C₁₁	1	2	yes	complemented
448	#492	C₂²×C₁₁	1	2	yes	complemented
449	#486	C₂²×C₁₁	1	2	yes	complemented
450	#486	C₂²×C₁₁	1	2	yes	complemented
451	#485	C₂²×C₁₁	1	2	yes	complemented
452	#482	C₂²×C₁₁	1	2	yes	complemented
453	#481	C₂²×C₁₁	1	4	yes	complemented
454	#480	C₂²×C₁₁	1	4	yes	complemented
455	#477	C₂²×C₁₁	1	1	yes	characteristic, complemented
456	#476	C₂²×C₁₁	1	1	yes	characteristic, complemented
457	#475	C₂²×C₁₁	1	1	yes	characteristic, complemented
458	#474	C₂²×C₁₁	1	1	yes	characteristic, complemented
459	#469	C₂²×C₁₁	1	4	yes	complemented
460	#468	C₂²×C₁₁	1	4	yes	complemented
461	#466	C₂²×C₁₁	1	4	yes	complemented
462	#465	C₂²×C₁₁	1	4	yes	complemented
463	#462	C₂²×C₁₁	1	1	yes	characteristic, complemented
464	#461	C₂²×C₁₁	1	1	yes	characteristic, complemented
465	#460	C₂²×C₁₁	1	2	yes	complemented
466	#460	C₂²×C₁₁	1	1	yes	characteristic, complemented
467	#460	C₂²×C₁₁	1	2	yes	complemented
468	#459	C₂²×C₁₁	1	2	yes	complemented
469	#459	C₂²×C₁₁	1	1	yes	characteristic, complemented
470	#459	C₂²×C₁₁	1	2	yes	complemented
471	#452	C₂²×C₁₁	1	2	yes	—
472	#452	C₂²×C₁₁	1	4	yes	complemented
473	#450	C₂²×C₁₁	1	4	yes	complemented
474	#450	C₂²×C₁₁	1	4	yes	complemented
475	#449	C₂²×C₁₁	1	2	yes	—
476	#449	C₂²×C₁₁	1	4	yes	complemented
477	#449	C₂²×C₁₁	1	4	yes	complemented
478	#449	C₂²×C₁₁	1	4	yes	complemented
479	#447	C₂²×C₁₁	1	4	yes	complemented
480	#447	C₂²×C₁₁	1	4	yes	complemented
481	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	complemented
482	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
483	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
484	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
485	#436	C₂²×C₁₁	1	2	yes	complemented
486	#436	C₂²×C₁₁	1	2	yes	complemented
487	C₈×D₄	C₂²×C₁₁	1	2	yes	complemented
488	C₈×D₄	C₂²×C₁₁	1	2	yes	complemented
489	#431	C₂²×C₁₁	1	1	yes	characteristic, complemented
490	#431	C₂²×C₁₁	1	1	yes	characteristic, complemented
491	#417	C₂²×C₁₁	1	4	yes	complemented
492	C₂×#102	C₂²×C₁₁	1	4	yes	complemented
493	#408	C₂²×C₁₁	1	4	yes	complemented
494	C₂²×C₁₁	—	2	1	no	—
495	C₂²×C₁₁	—	2	2	no	—
496	C₂²×C₁₁	—	2	4	no	—
497	C₂²×C₁₁	—	2	1	no	—
498	C₂²×C₁₁	—	2	4	no	—
499	C₂²×C₁₁	—	2	1	no	—
500	C₂²×C₁₁	—	2	4	no	—
501	C₂²×C₁₁	—	4	1	no	—
502	C₂²×C₁₁	—	4	1	no	—
503	C₂²×C₁₁	—	4	4	no	—
504	C₂²×C₁₁	—	4	2	no	—
505	C₂²×C₁₁	—	4	2	no	—
506	C₂²×C₁₁	—	4	4	no	—
507	C₂²×C₁₁	—	4	4	no	—
508	C₂²×C₁₁	—	4	2	no	—
509	C₂²×C₁₁	—	16	8	no	—
510	C₂²×C₁₁	—	16	4	no	—
511	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
512	C₄×C₁₁	—	2	1	no	—
513	C₄×C₁₁	—	2	2	no	—
514	C₄×C₁₁	—	2	4	no	—
515	C₄×C₁₁	—	2	1	no	—
516	C₄×C₁₁	—	2	1	no	—
517	C₄×C₁₁	—	4	2	no	—
518	C₄×C₁₁	—	4	2	no	—
519	C₄×C₁₁	—	4	1	no	—
520	C₄×C₁₁	—	4	2	no	—
521	C₄×C₁₁	—	4	1	no	—
522	C₄×C₁₁	#576	1	2	yes	—
523	C₄×C₁₁	#577	1	2	yes	—
524	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
525	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
526	H(5,𝔽₂)	—	4	4	no	—
527	H(5,𝔽₂)	—	4	4	no	—
528	C₂×#41	—	2	2	no	—
529	C₂×#41	—	2	2	no	—
530	C₂×#41	—	2	1	no	—
531	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
532	C₂×#41	C₂³×C₁₁	1	4	yes	—
533	C₂×#41	C₂³×C₁₁	1	4	yes	—
534	C₂×#41	C₂³×C₁₁	1	2	yes	—
535	C₂²×D₄	—	2	2	no	—
536	C₂²×D₄	—	2	4	no	—
537	C₂²×D₄	—	2	2	no	—
538	C₂²×D₄	—	2	2	no	—
539	C₂²×D₄	—	2	1	no	—
540	C₂²×D₄	—	2	1	no	—
541	C₂²×D₄	C₂³×C₁₁	1	4	yes	—
542	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
543	AGL(1,ℤ/8)	—	4	8	no	—
544	#135	—	4	8	no	—
545	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
546	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
547	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
548	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
549	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
550	C₂×D₈	C₂³×C₁₁	1	2	yes	—
551	C₂×D₈	C₂³×C₁₁	1	4	yes	—
552	C₂×D₈	C₂³×C₁₁	1	4	yes	—
553	C₂×M₁₆	C₂³×C₁₁	1	4	yes	—
554	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
555	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
556	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
557	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
558	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
559	#127	—	2	2	no	—
560	#127	—	2	2	no	—
561	#127	—	2	2	no	—
562	#127	—	2	2	no	—
563	#127	—	2	1	no	—
564	#127	—	2	1	no	—
565	#127	D₄×C₁₁	1	1	yes	characteristic
566	#127	C₂³×C₁₁	1	2	yes	—
567	#127	C₂³×C₁₁	1	2	yes	—
568	#127	C₂³×C₁₁	1	1	yes	characteristic
569	#125	—	2	2	no	—
570	#125	—	2	1	no	—
571	#124	—	2	2	no	—
572	#124	—	2	1	no	—
573	#124	D₄×C₁₁	1	2	yes	—
574	#123	—	2	4	no	—
575	#123	—	2	4	no	—
576	C₂²⋊Q₈	—	2	4	no	—
577	C₂²⋊Q₈	—	2	1	no	—
578	C₂²⋊Q₈	—	2	2	no	—
579	C₂²⋊Q₈	—	2	4	no	—
580	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
581	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
582	#121	—	2	4	no	—
583	#121	—	2	4	no	—
584	#121	—	2	2	no	—
585	#121	—	2	4	no	—
586	#121	—	2	1	no	—
587	#121	—	2	2	no	—
588	#121	—	2	2	no	—
589	#121	—	2	4	no	—
590	#121	—	2	4	no	—
591	#121	—	2	4	no	—
592	#121	D₄×C₁₁	1	2	yes	—
593	#121	D₄×C₁₁	1	2	yes	—
594	#121	C₂³×C₁₁	1	2	yes	—
595	#121	C₂³×C₁₁	1	4	yes	—
596	#121	C₂³×C₁₁	1	4	yes	—
597	#121	C₂³×C₁₁	1	4	yes	—
598	#120	—	2	4	no	—
599	#120	—	2	4	no	—
600	#120	—	2	4	no	—
601	C₄×Q₈	—	2	1	no	—
602	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
603	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
604	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
605	C₄×D₄	—	2	2	no	—
606	C₄×D₄	—	2	1	no	—
607	C₄×D₄	—	2	1	no	—
608	C₄×D₄	—	2	2	no	—
609	C₄×D₄	—	2	2	no	—
610	C₄×D₄	—	2	2	no	—
611	C₄×D₄	—	2	1	no	—
612	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
613	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
614	C₄×D₄	C₂³×C₁₁	1	2	yes	—
615	C₄×D₄	C₂³×C₁₁	1	2	yes	—
616	C₄×D₄	C₂³×C₁₁	1	2	yes	—
617	#117	—	2	1	no	—
618	#117	—	2	1	no	—
619	#117	C₂³×C₁₁	1	1	yes	characteristic
620	C₂×C₄⋊C₄	—	2	2	no	—
621	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
622	C₂×C₄²	—	2	1	no	—
623	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
624	#107	C₂³×C₁₁	1	2	yes	—
625	#107	C₂³×C₁₁	1	2	yes	—
626	#106	C₂³×C₁₁	1	2	yes	—
627	#106	C₂³×C₁₁	1	2	yes	—
628	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
629	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
630	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
631	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
632	#103	C₂³×C₁₁	1	2	yes	—
633	#103	C₂³×C₁₁	1	2	yes	—
634	#103	C₂³×C₁₁	1	2	yes	—
635	#103	C₂³×C₁₁	1	2	yes	—
636	#102	C₂³×C₁₁	1	2	yes	—
637	#102	C₂³×C₁₁	1	2	yes	—
638	#102	C₂³×C₁₁	1	4	yes	—
639	#102	C₂³×C₁₁	1	4	yes	—
640	#102	C₂³×C₁₁	1	4	yes	—
641	#102	C₂³×C₁₁	1	4	yes	—
642	#102	C₂³×C₁₁	1	2	yes	—
643	#102	C₂³×C₁₁	1	2	yes	—
644	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
645	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
646	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
647	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
648	C₄×C₈	C₂³×C₁₁	1	2	yes	—
649	C₄×C₈	C₂³×C₁₁	1	2	yes	—
650	C₂×C₁₁	—	4	4	no	—
651	C₂×C₁₁	—	4	1	no	—
652	C₂×C₁₁	—	4	2	no	—
653	C₂×C₁₁	—	8	2	no	—
654	C₂×C₁₁	—	8	4	no	—
655	C₂×C₁₁	#3484	1	1	yes	characteristic
656	C₂×C₁₁	C₂×#576	1	1	yes	characteristic
657	C₂×C₁₁	C₂×#577	1	1	yes	characteristic
658	C₂⁴	—	2	4	no	—
659	C₂⁴	—	2	2	no	—
660	#41	—	2	2	no	—
661	#41	—	2	2	no	—
662	#41	—	2	8	no	—
663	#41	—	4	2	no	—
664	#41	—	4	2	no	—
665	#41	—	4	4	no	—
666	#41	—	4	8	no	—
667	#41	—	4	4	no	—
668	#41	—	4	4	no	—
669	#41	—	8	2	no	—
670	#41	—	8	4	no	—
671	C₂×Q₈	—	2	1	no	—
672	C₂×Q₈	—	2	1	no	—
673	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
674	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
675	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
676	C₂×D₄	—	2	1	no	—
677	C₂×D₄	—	2	8	no	—
678	C₂×D₄	—	2	4	no	—
679	C₂×D₄	—	2	4	no	—
680	C₂×D₄	—	2	4	no	—
681	C₂×D₄	—	2	2	no	—
682	C₂×D₄	—	2	4	no	—
683	C₂×D₄	—	2	4	no	—
684	C₂×D₄	—	2	1	no	—
685	C₂×D₄	—	2	2	no	—
686	C₂×D₄	—	2	2	no	—
687	C₂×D₄	—	2	4	no	—
688	C₂×D₄	—	2	2	no	—
689	C₂×D₄	—	2	2	no	—
690	C₂×D₄	—	2	2	no	—
691	C₂×D₄	—	2	1	no	—
692	C₂×D₄	—	4	4	no	—
693	C₂×D₄	—	4	2	no	—
694	C₂×D₄	—	4	2	no	—
695	C₂×D₄	—	4	8	no	—
696	C₂×D₄	—	4	16	no	—
697	C₂×D₄	—	8	2	no	—
698	C₂×D₄	—	8	2	no	—
699	C₂×D₄	—	8	4	no	—
700	C₂×D₄	—	8	4	no	—
701	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
702	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
703	C₂×D₄	C₂×D₄×C₁₁	1	4	yes	—
704	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
705	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
706	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
707	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
708	C₂²×C₄	—	2	1	no	—
709	C₂²×C₄	—	2	4	no	—
710	C₂²×C₄	—	2	1	no	—
711	C₂²×C₄	—	2	1	no	—
712	C₂²×C₄	—	2	2	no	—
713	C₂²×C₄	—	2	4	no	—
714	C₂²×C₄	—	2	4	no	—
715	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
716	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
717	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
718	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
719	Q₁₆	—	2	4	no	—
720	SD₁₆	—	2	4	no	—
721	SD₁₆	—	2	4	no	—
722	SD₁₆	—	4	4	no	—
723	SD₁₆	—	4	4	no	—
724	D₈	—	2	4	no	—
725	D₈	—	4	4	no	—
726	D₈	—	4	4	no	—
727	M₁₆	—	4	4	no	—
728	C₂×C₈	—	4	4	no	—
729	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
730	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
731	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
732	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
733	C₄⋊C₄	—	2	1	no	—
734	C₄⋊C₄	—	2	4	no	—
735	C₄⋊C₄	—	2	4	no	—
736	C₄⋊C₄	—	2	1	no	—
737	C₄⋊C₄	—	2	1	no	—
738	C₄⋊C₄	—	2	1	no	—
739	C₄⋊C₄	—	2	1	no	—
740	C₄⋊C₄	—	2	1	no	—
741	C₄⋊C₄	—	2	2	no	—
742	C₄⋊C₄	—	2	2	no	—
743	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
744	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
745	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
746	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
747	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
748	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
749	C₂²⋊C₄	—	2	2	no	—
750	C₂²⋊C₄	—	2	1	no	—
751	C₂²⋊C₄	—	2	4	no	—
752	C₂²⋊C₄	—	2	1	no	—
753	C₂²⋊C₄	—	2	1	no	—
754	C₂²⋊C₄	—	2	4	no	—
755	C₂²⋊C₄	—	2	4	no	—
756	C₂²⋊C₄	—	2	4	no	—
757	C₂²⋊C₄	—	2	2	no	—
758	C₂²⋊C₄	—	2	2	no	—
759	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
760	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
761	C₄²	—	2	1	no	—
762	C₄²	—	2	1	no	—
763	C₄²	—	2	1	no	—
764	C₄²	—	2	2	no	—
765	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
766	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
767	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
768	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
769	C₁₁	#61668	1	1	yes	characteristic, direct product factor, Sylow
770	C₂³	—	2	1	no	—
771	C₂³	—	2	2	no	—
772	C₂³	—	2	4	no	—
773	C₂³	—	4	8	no	—
774	C₂³	—	4	4	no	—
775	C₂³	—	8	2	no	—
776	C₂³	—	8	4	no	—
777	C₂³	—	8	2	no	—
778	C₂³	—	8	4	no	—
779	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
780	C₂³	C₂²×D₄×C₁₁	1	4	yes	—
781	Q₈	—	2	1	no	—
782	Q₈	—	2	2	no	—
783	Q₈	—	2	2	no	—
784	Q₈	—	4	2	no	—
785	Q₈	—	4	2	no	—
786	Q₈	—	8	1	no	—
787	Q₈	C₁₁×H(5,𝔽₂)	1	2	yes	—
788	D₄	—	2	4	no	—
789	D₄	—	2	4	no	—
790	D₄	—	2	4	no	—
791	D₄	—	2	1	no	—
792	D₄	—	2	2	no	—
793	D₄	—	2	2	no	—
794	D₄	—	2	4	no	—
795	D₄	—	2	4	no	—
796	D₄	—	4	2	no	—
797	D₄	—	4	4	no	—
798	D₄	—	4	8	no	—
799	D₄	—	4	8	no	—
800	D₄	—	4	4	no	—
801	D₄	—	4	4	no	—
802	D₄	—	4	2	no	—
803	D₄	—	4	4	no	—
804	D₄	—	8	2	no	—
805	D₄	—	8	2	no	—
806	D₄	—	8	1	no	—
807	D₄	—	8	4	no	—
808	D₄	—	8	4	no	—
809	D₄	—	8	4	no	—
810	D₄	—	8	2	no	—
811	D₄	—	8	4	no	—
812	D₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
813	C₂×C₄	—	2	4	no	—
814	C₂×C₄	—	2	1	no	—
815	C₂×C₄	—	2	2	no	—
816	C₂×C₄	—	2	2	no	—
817	C₂×C₄	—	2	4	no	—
818	C₂×C₄	—	2	4	no	—
819	C₂×C₄	—	2	1	no	—
820	C₂×C₄	—	2	1	no	—
821	C₂×C₄	—	2	1	no	—
822	C₂×C₄	—	2	1	no	—
823	C₂×C₄	—	2	2	no	—
824	C₂×C₄	—	2	2	no	—
825	C₂×C₄	—	2	2	no	—
826	C₂×C₄	—	4	8	no	—
827	C₂×C₄	—	4	2	no	—
828	C₂×C₄	—	4	4	no	—
829	C₂×C₄	—	4	2	no	—
830	C₂×C₄	—	8	4	no	—
831	C₂×C₄	—	8	4	no	—
832	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
833	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
834	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
835	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
836	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
837	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
838	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
839	C₈	—	2	2	no	—
840	C₈	—	2	2	no	—
841	C₈	—	2	2	no	—
842	C₈	—	2	2	no	—
843	C₂²	—	2	1	no	—
844	C₂²	—	2	2	no	—
845	C₂²	—	2	4	no	—
846	C₂²	—	2	1	no	—
847	C₂²	—	2	4	no	—
848	C₂²	—	2	1	no	—
849	C₂²	—	2	4	no	—
850	C₂²	—	4	1	no	—
851	C₂²	—	4	1	no	—
852	C₂²	—	4	4	no	—
853	C₂²	—	4	2	no	—
854	C₂²	—	4	2	no	—
855	C₂²	—	4	4	no	—
856	C₂²	—	4	4	no	—
857	C₂²	—	4	2	no	—
858	C₂²	—	16	8	no	—
859	C₂²	—	16	4	no	—
860	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
861	C₄	—	2	1	no	—
862	C₄	—	2	2	no	—
863	C₄	—	2	4	no	—
864	C₄	—	2	1	no	—
865	C₄	—	2	1	no	—
866	C₄	—	4	2	no	—
867	C₄	—	4	2	no	—
868	C₄	—	4	1	no	—
869	C₄	—	4	2	no	—
870	C₄	—	4	1	no	—
871	C₄	C₁₁×#576	1	2	yes	—
872	C₄	C₁₁×#577	1	2	yes	—
873	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
874	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
875	C₂	—	4	1	no	—
876	C₂	—	4	4	no	—
877	C₂	—	4	2	no	—
878	C₂	—	8	4	no	—
879	C₂	—	8	2	no	—
880	C₂	C₁₁×#3484	1	1	yes	characteristic
881	C₂	C₂×C₁₁×#576	1	1	yes	characteristic
882	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×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3548	C₂	semidirect
2. C₁₁×#3498	C₂	semidirect
3. C₁₁×#3333	C₂	semidirect
4. C₁₁×#3332	C₂	semidirect
5. C₁₁×#3295	C₂	semidirect
6. C₁₁×#3294	C₂	semidirect
7. C₁₁×#3287	C₂	semidirect
8. C₁₁×#3284	C₂	semidirect
9. C₁₁×#3274	C₂	semidirect
10. C₁₁×#3272	C₂	semidirect
11. C₁₁×#3208	C₂	semidirect
12. C₁₁×#3205	C₂	semidirect
13. C₁₁×#3198	C₂	semidirect
14. C₁₁×#3107	C₂	semidirect
15. C₁₁×#3106	C₂	semidirect
16. C₁₁×#3012	C₂	semidirect
17. C₁₁×#2979	C₂	semidirect
19. C₂×C₁₁×AGL(1,ℤ/8)	C₂²	semidirect
20. C₂×C₁₁×#135	C₂²	semidirect
23. C₁₁×#554	C₂²	semidirect
27. C₁₁×#550	C₂²	semidirect
28. C₁₁×#547	C₂²	semidirect
29. C₁₁×#547	C₂²	semidirect
36. C₁₁×#537	C₂²	semidirect
39. C₁₁×#533	C₂²	semidirect
42. C₁₁×#532	C₂²	semidirect
46. C₁₁×#493	C₂²	semidirect
47. C₁₁×#492	C₂²	semidirect
48. C₁₁×#486	C₂²	semidirect
49. C₁₁×#486	C₂²	semidirect
50. C₁₁×#485	C₂²	semidirect
51. C₁₁×#482	C₂²	semidirect
52. C₁₁×#481	C₂²	semidirect
53. C₁₁×#480	C₂²	semidirect
54. C₁₁×#477	C₂²	semidirect
55. C₁₁×#476	C₂²	semidirect
56. C₁₁×#475	C₂²	semidirect
57. C₁₁×#474	C₂²	semidirect
58. C₁₁×#469	C₂²	semidirect
59. C₁₁×#468	C₂²	semidirect
60. C₁₁×#466	C₂²	semidirect
61. C₁₁×#465	C₂²	semidirect
62. C₁₁×#462	C₂²	semidirect
63. C₁₁×#461	C₂²	semidirect
64. C₁₁×#460	C₂²	semidirect
65. C₁₁×#460	C₂²	semidirect
66. C₁₁×#460	C₂²	semidirect
67. C₁₁×#459	C₂²	semidirect
68. C₁₁×#459	C₂²	semidirect
69. C₁₁×#459	C₂²	semidirect
71. C₁₁×#452	C₂²	semidirect
72. C₁₁×#450	C₂²	semidirect
73. C₁₁×#450	C₂²	semidirect
75. C₁₁×#449	C₂²	semidirect
76. C₁₁×#449	C₂²	semidirect
77. C₁₁×#449	C₂²	semidirect
78. C₁₁×#447	C₂²	semidirect
79. C₁₁×#447	C₂²	semidirect
80. C₄×C₁₁×Q₁₆	C₂²	semidirect
81. C₄×C₁₁×SD₁₆	C₂²	semidirect
82. C₄×C₁₁×SD₁₆	C₂²	semidirect
83. C₄×C₁₁×D₈	C₂²	semidirect
84. C₁₁×#436	C₂²	semidirect
85. C₁₁×#436	C₂²	semidirect
86. C₈×D₄×C₁₁	C₂²	semidirect
87. C₈×D₄×C₁₁	C₂²	semidirect
88. C₁₁×#431	C₂²	semidirect
89. C₁₁×#431	C₂²	semidirect
90. C₁₁×#417	C₂²	semidirect
91. C₂×C₁₁×#102	C₂²	semidirect
92. C₁₁×#408	C₂²	semidirect
217. #61668	C₁₁	direct (N × H)
329. #3548	C₂×C₁₁	semidirect
330. #3498	C₂×C₁₁	semidirect
331. #3333	C₂×C₁₁	semidirect
332. #3332	C₂×C₁₁	semidirect
333. #3295	C₂×C₁₁	semidirect
334. #3294	C₂×C₁₁	semidirect
335. #3287	C₂×C₁₁	semidirect
336. #3284	C₂×C₁₁	semidirect
337. #3274	C₂×C₁₁	semidirect
338. #3272	C₂×C₁₁	semidirect
339. #3208	C₂×C₁₁	semidirect
340. #3205	C₂×C₁₁	semidirect
341. #3198	C₂×C₁₁	semidirect
342. #3107	C₂×C₁₁	semidirect
343. #3106	C₂×C₁₁	semidirect
344. #3012	C₂×C₁₁	semidirect
345. #2979	C₂×C₁₁	semidirect
420. C₂×AGL(1,ℤ/8)	C₂²×C₁₁	semidirect
421. C₂×#135	C₂²×C₁₁	semidirect
424. #554	C₂²×C₁₁	semidirect
428. #550	C₂²×C₁₁	semidirect
429. #547	C₂²×C₁₁	semidirect
430. #547	C₂²×C₁₁	semidirect
437. #537	C₂²×C₁₁	semidirect
440. #533	C₂²×C₁₁	semidirect
443. #532	C₂²×C₁₁	semidirect
447. #493	C₂²×C₁₁	semidirect
448. #492	C₂²×C₁₁	semidirect
449. #486	C₂²×C₁₁	semidirect
450. #486	C₂²×C₁₁	semidirect
451. #485	C₂²×C₁₁	semidirect
452. #482	C₂²×C₁₁	semidirect
453. #481	C₂²×C₁₁	semidirect
454. #480	C₂²×C₁₁	semidirect
455. #477	C₂²×C₁₁	semidirect
456. #476	C₂²×C₁₁	semidirect
457. #475	C₂²×C₁₁	semidirect
458. #474	C₂²×C₁₁	semidirect
459. #469	C₂²×C₁₁	semidirect
460. #468	C₂²×C₁₁	semidirect
461. #466	C₂²×C₁₁	semidirect
462. #465	C₂²×C₁₁	semidirect
463. #462	C₂²×C₁₁	semidirect
464. #461	C₂²×C₁₁	semidirect
465. #460	C₂²×C₁₁	semidirect
466. #460	C₂²×C₁₁	semidirect
467. #460	C₂²×C₁₁	semidirect
468. #459	C₂²×C₁₁	semidirect
469. #459	C₂²×C₁₁	semidirect
470. #459	C₂²×C₁₁	semidirect
472. #452	C₂²×C₁₁	semidirect
473. #450	C₂²×C₁₁	semidirect
474. #450	C₂²×C₁₁	semidirect
476. #449	C₂²×C₁₁	semidirect
477. #449	C₂²×C₁₁	semidirect
478. #449	C₂²×C₁₁	semidirect
479. #447	C₂²×C₁₁	semidirect
480. #447	C₂²×C₁₁	semidirect
481. C₄×Q₁₆	C₂²×C₁₁	semidirect
482. C₄×SD₁₆	C₂²×C₁₁	semidirect
483. C₄×SD₁₆	C₂²×C₁₁	semidirect
484. C₄×D₈	C₂²×C₁₁	semidirect
485. #436	C₂²×C₁₁	semidirect
486. #436	C₂²×C₁₁	semidirect
487. C₈×D₄	C₂²×C₁₁	semidirect
488. C₈×D₄	C₂²×C₁₁	semidirect
489. #431	C₂²×C₁₁	semidirect
490. #431	C₂²×C₁₁	semidirect
491. #417	C₂²×C₁₁	semidirect
492. C₂×#102	C₂²×C₁₁	semidirect
493. #408	C₂²×C₁₁	semidirect
769. C₁₁	#61668	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×#3548	2
C₁₁×#3498	2
C₁₁×#3333	2
C₁₁×#3332	2
C₁₁×#3295	2
C₁₁×#3294	2
C₁₁×#3287	2
C₁₁×#3284	2
C₁₁×#3274	2
C₁₁×#3272	2
C₁₁×#3208	2
C₁₁×#3205	2
C₁₁×#3198	2
C₁₁×#3107	2
C₁₁×#3106	2
C₁₁×#3012	2
C₁₁×#2979	2
#61668	11

Subgroups — C11×#61668 #14638861

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61668 #14638861