Subgroups — C₁₁×#61979 #14639172

Order 2816.

2238 conjugacy classes of subgroups.

The subgroup lattice has 966 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3498	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3481	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3399	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3366	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3318	C₂	1	4	yes	maximal, complemented
6	C₁₁×#3295	C₂	1	2	yes	maximal, complemented
7	D₄×C₁₁×D₈	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3264	C₂	1	4	yes	maximal, complemented
9	C₁₁×#3253	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3247	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3217	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3205	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3109	C₂	1	2	yes	maximal, complemented
14	C₁₁×#3106	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#3038	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₁×#459	C₂	1	2	yes	maximal, complemented
17	C₁₁×#2990	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₁×H(5,𝔽₂)	—	2	1	no	—
19	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
20	C₂²×C₁₁×D₈	C₂²	1	4	yes	complemented
21	C₁₁×#559	C₂²	1	1	yes	characteristic, complemented
22	C₁₁×#554	C₂²	1	1	yes	characteristic, complemented
23	C₁₁×#554	C₂²	1	1	yes	characteristic, complemented
24	C₁₁×#553	—	2	1	no	—
25	C₁₁×#553	C₂²	1	2	yes	complemented
26	C₁₁×#551	—	2	2	no	—
27	C₁₁×#550	—	2	1	no	—
28	C₁₁×#550	C₂²	1	2	yes	complemented
29	C₁₁×#546	—	2	1	no	—
30	C₁₁×#546	C₂²	1	2	yes	complemented
31	D₄²×C₁₁	—	2	1	no	—
32	D₄²×C₁₁	—	2	2	no	—
33	D₄²×C₁₁	C₂²	1	2	yes	—
34	D₄²×C₁₁	C₂²	1	1	yes	characteristic, complemented
35	D₄²×C₁₁	C₂²	1	4	yes	complemented
36	C₁₁×#535	—	2	2	no	—
37	C₁₁×#535	—	2	1	no	—
38	C₁₁×#532	C₂²	1	1	yes	characteristic, complemented
39	C₁₁×#532	C₂²	1	2	yes	complemented
40	C₁₁×#532	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₁₁×#127	C₂²	1	2	yes	complemented
43	C₁₁×#529	—	2	1	no	—
44	C₁₁×#529	C₂²	1	2	yes	complemented
45	C₁₁×#525	—	2	2	no	—
46	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
47	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₄×D₄×C₁₁	—	2	1	no	—
49	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	complemented
50	C₁₁×#496	C₂²	1	4	yes	complemented
51	C₁₁×#493	C₂²	1	2	yes	complemented
52	C₁₁×#490	C₂²	1	4	yes	complemented
53	C₁₁×#486	C₂²	1	2	yes	complemented
54	C₁₁×#482	C₂²	1	2	yes	complemented
55	C₁₁×#481	C₂²	1	4	yes	complemented
56	C₁₁×#478	C₂²	1	4	yes	complemented
57	C₁₁×#477	C₂²	1	1	yes	characteristic, complemented
58	C₁₁×#476	C₂²	1	2	yes	complemented
59	C₁₁×#476	C₂²	1	2	yes	complemented
60	C₁₁×#476	C₂²	1	1	yes	characteristic, complemented
61	C₁₁×#469	C₂²	1	4	yes	complemented
62	C₁₁×#466	C₂²	1	4	yes	complemented
63	C₁₁×#465	C₂²	1	4	yes	complemented
64	C₁₁×#463	C₂²	1	4	yes	complemented
65	C₁₁×#460	C₂²	1	1	yes	characteristic, complemented
66	C₁₁×#460	C₂²	1	2	yes	complemented
67	C₁₁×#460	C₂²	1	2	yes	complemented
68	C₁₁×#459	C₂²	1	2	yes	complemented
69	C₁₁×#459	C₂²	1	2	yes	complemented
70	C₁₁×#459	C₂²	1	2	yes	complemented
71	C₁₁×#459	C₂²	1	2	yes	complemented
72	C₁₁×#459	C₂²	1	4	yes	complemented
73	C₁₁×#459	C₂²	1	2	yes	complemented
74	C₁₁×#459	C₂²	1	1	yes	characteristic, complemented
75	C₁₁×#459	C₂²	1	2	yes	complemented
76	C₁₁×#459	C₂²	1	4	yes	complemented
77	C₁₁×#450	C₂²	1	4	yes	complemented
78	C₁₁×#449	C₂²	1	2	yes	complemented
79	C₁₁×#447	C₂²	1	4	yes	complemented
80	C₁₁×#447	C₂²	1	4	yes	complemented
81	C₁₁×#447	C₂²	1	4	yes	complemented
82	C₁₁×#446	C₂²	1	2	yes	complemented
83	C₁₁×#442	C₂²	1	4	yes	complemented
84	C₁₁×#442	C₂²	1	4	yes	complemented
85	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
86	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
87	C₁₁×#435	C₂²	1	4	yes	complemented
88	C₈×D₄×C₁₁	C₂²	1	2	yes	complemented
89	C₁₁×#432	C₂²	1	2	yes	complemented
90	C₁₁×#431	C₂²	1	1	yes	characteristic, complemented
91	C₁₁×#423	C₂²	1	1	yes	characteristic, complemented
92	C₂×C₁₁×C₄⋊C₈	C₂²	1	2	yes	complemented
93	C₁₁×#418	C₂²	1	2	yes	complemented
94	C₂×C₁₁×#102	C₂²	1	4	yes	complemented
95	C₁₁×H(5,𝔽₂)	—	4	8	no	—
96	C₂×C₁₁×#41	—	2	2	no	—
97	C₂×C₁₁×#41	—	2	2	no	—
98	C₂×C₁₁×#41	—	2	1	no	—
99	C₂×C₁₁×#41	—	2	1	no	—
100	C₂×C₁₁×#41	D₄	1	1	yes	characteristic
101	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
102	C₂²×D₄×C₁₁	—	2	1	no	—
103	C₂²×D₄×C₁₁	—	2	2	no	—
104	C₂²×D₄×C₁₁	—	2	4	no	—
105	C₂²×D₄×C₁₁	—	2	2	no	—
106	C₂²×D₄×C₁₁	—	2	1	no	—
107	C₂²×D₄×C₁₁	—	2	2	no	—
108	C₂²×D₄×C₁₁	—	2	1	no	—
109	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
110	C₂²×D₄×C₁₁	C₂³	1	4	yes	—
111	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
112	C₂³×C₄×C₁₁	—	2	2	no	—
113	C₁₁×AGL(1,ℤ/8)	—	4	4	no	—
114	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
115	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
116	C₂×C₁₁×D₈	—	4	8	no	—
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×D₈	C₂³	1	4	yes	—
121	C₂×C₁₁×D₈	C₂³	1	4	yes	—
122	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
123	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
124	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
125	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
126	C₁₁×#127	—	2	1	no	—
127	C₁₁×#127	—	2	2	no	—
128	C₁₁×#127	—	2	1	no	—
129	C₁₁×#127	—	2	2	no	—
130	C₁₁×#127	C₂³	1	4	yes	—
131	C₁₁×#127	C₂³	1	1	yes	characteristic
132	C₁₁×#127	C₂³	1	2	yes	—
133	C₁₁×#127	C₂³	1	2	yes	—
134	C₁₁×#127	C₂³	1	1	yes	characteristic
135	C₁₁×#126	—	2	2	no	—
136	C₁₁×#126	—	2	2	no	—
137	C₁₁×#125	—	2	1	no	—
138	C₁₁×#125	C₂³	1	2	yes	—
139	C₁₁×#124	—	2	1	no	—
140	C₁₁×#124	—	2	1	no	—
141	C₁₁×#124	—	2	2	no	—
142	C₁₁×#124	—	2	1	no	—
143	C₁₁×#124	C₂³	1	2	yes	—
144	C₁₁×#123	—	2	2	no	—
145	C₁₁×#123	—	2	2	no	—
146	C₁₁×#123	—	2	2	no	—
147	C₁₁×#123	—	2	2	no	—
148	C₁₁×C₂²⋊Q₈	—	2	1	no	—
149	C₁₁×C₂²⋊Q₈	—	2	2	no	—
150	C₁₁×C₂²⋊Q₈	—	2	2	no	—
151	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
152	C₁₁×#121	—	2	2	no	—
153	C₁₁×#121	—	2	2	no	—
154	C₁₁×#121	—	2	1	no	—
155	C₁₁×#121	—	2	1	no	—
156	C₁₁×#121	—	2	1	no	—
157	C₁₁×#121	—	2	2	no	—
158	C₁₁×#121	—	2	4	no	—
159	C₁₁×#121	—	2	2	no	—
160	C₁₁×#121	—	2	4	no	—
161	C₁₁×#121	—	2	2	no	—
162	C₁₁×#121	C₂³	1	2	yes	—
163	C₁₁×#121	C₂³	1	4	yes	—
164	C₁₁×#121	C₂³	1	2	yes	—
165	C₁₁×#121	C₂³	1	2	yes	—
166	C₁₁×#120	—	2	2	no	—
167	C₁₁×#120	—	2	2	no	—
168	C₁₁×#120	—	2	4	no	—
169	C₁₁×#120	—	2	4	no	—
170	C₁₁×#120	—	2	4	no	—
171	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
172	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
173	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
174	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
175	C₄×D₄×C₁₁	—	2	1	no	—
176	C₄×D₄×C₁₁	—	2	2	no	—
177	C₄×D₄×C₁₁	—	2	1	no	—
178	C₄×D₄×C₁₁	—	2	1	no	—
179	C₄×D₄×C₁₁	—	2	1	no	—
180	C₄×D₄×C₁₁	—	2	2	no	—
181	C₄×D₄×C₁₁	—	2	1	no	—
182	C₄×D₄×C₁₁	—	2	2	no	—
183	C₄×D₄×C₁₁	—	2	2	no	—
184	C₄×D₄×C₁₁	—	2	1	no	—
185	C₄×D₄×C₁₁	—	2	2	no	—
186	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
187	C₄×D₄×C₁₁	D₄	1	2	yes	—
188	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
189	C₄×D₄×C₁₁	C₂³	1	2	yes	—
190	C₄×D₄×C₁₁	C₂³	1	2	yes	—
191	C₄×D₄×C₁₁	C₂³	1	2	yes	—
192	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
193	C₄×D₄×C₁₁	C₂³	1	2	yes	—
194	C₄×D₄×C₁₁	C₂³	1	4	yes	—
195	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
196	C₄×D₄×C₁₁	C₂³	1	2	yes	—
197	C₁₁×#117	—	2	1	no	—
198	C₁₁×#117	—	2	2	no	—
199	C₁₁×#117	D₄	1	2	yes	—
200	C₁₁×#117	D₄	1	1	yes	characteristic
201	C₁₁×#117	C₂³	1	1	yes	characteristic
202	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
203	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
204	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
205	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
206	C₂×C₄²×C₁₁	—	2	1	no	—
207	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
208	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
209	C₁₁×#107	C₂³	1	2	yes	—
210	C₁₁×#106	C₂³	1	2	yes	—
211	C₁₁×#106	C₂³	1	4	yes	—
212	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
213	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
214	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
215	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
216	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
217	C₁₁×#103	C₂³	1	2	yes	—
218	C₁₁×#102	C₂³	1	2	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	2	yes	—
223	C₁₁×#102	C₂³	1	4	yes	—
224	C₁₁×#102	C₂³	1	4	yes	—
225	C₁₁×#102	C₂³	1	2	yes	—
226	C₁₁×#102	C₂³	1	4	yes	—
227	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
228	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
229	C₁₁×#97	C₂³	1	4	yes	—
230	C₄×C₈×C₁₁	C₂³	1	2	yes	—
231	#61979	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
232	C₂⁴×C₁₁	—	2	2	no	—
233	C₂⁴×C₁₁	—	2	2	no	—
234	C₂⁴×C₁₁	—	2	4	no	—
235	C₁₁×#41	—	2	4	no	—
236	C₁₁×#41	—	2	2	no	—
237	C₁₁×#41	—	4	1	no	—
238	C₁₁×#41	—	4	8	no	—
239	C₁₁×#41	—	4	4	no	—
240	C₁₁×#41	—	4	8	no	—
241	C₁₁×#41	—	8	2	no	—
242	C₂×Q₈×C₁₁	—	2	1	no	—
243	C₂×Q₈×C₁₁	—	2	1	no	—
244	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
245	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
246	C₂×D₄×C₁₁	—	2	4	no	—
247	C₂×D₄×C₁₁	—	2	1	no	—
248	C₂×D₄×C₁₁	—	2	2	no	—
249	C₂×D₄×C₁₁	—	2	2	no	—
250	C₂×D₄×C₁₁	—	2	4	no	—
251	C₂×D₄×C₁₁	—	2	2	no	—
252	C₂×D₄×C₁₁	—	2	2	no	—
253	C₂×D₄×C₁₁	—	2	1	no	—
254	C₂×D₄×C₁₁	—	2	1	no	—
255	C₂×D₄×C₁₁	—	2	2	no	—
256	C₂×D₄×C₁₁	—	2	4	no	—
257	C₂×D₄×C₁₁	—	2	2	no	—
258	C₂×D₄×C₁₁	—	2	1	no	—
259	C₂×D₄×C₁₁	—	2	2	no	—
260	C₂×D₄×C₁₁	—	2	2	no	—
261	C₂×D₄×C₁₁	—	2	4	no	—
262	C₂×D₄×C₁₁	—	2	4	no	—
263	C₂×D₄×C₁₁	—	2	2	no	—
264	C₂×D₄×C₁₁	—	2	1	no	—
265	C₂×D₄×C₁₁	—	4	2	no	—
266	C₂×D₄×C₁₁	—	4	4	no	—
267	C₂×D₄×C₁₁	—	4	2	no	—
268	C₂×D₄×C₁₁	—	4	4	no	—
269	C₂×D₄×C₁₁	—	4	2	no	—
270	C₂×D₄×C₁₁	—	4	8	no	—
271	C₂×D₄×C₁₁	—	4	4	no	—
272	C₂×D₄×C₁₁	—	4	16	no	—
273	C₂×D₄×C₁₁	—	4	4	no	—
274	C₂×D₄×C₁₁	—	4	8	no	—
275	C₂×D₄×C₁₁	—	8	4	no	—
276	C₂×D₄×C₁₁	—	8	2	no	—
277	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
278	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
279	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
280	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
281	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
282	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
283	C₂²×C₄×C₁₁	—	2	2	no	—
284	C₂²×C₄×C₁₁	—	2	1	no	—
285	C₂²×C₄×C₁₁	—	2	1	no	—
286	C₂²×C₄×C₁₁	—	2	1	no	—
287	C₂²×C₄×C₁₁	—	2	2	no	—
288	C₂²×C₄×C₁₁	—	2	4	no	—
289	C₂²×C₄×C₁₁	—	2	2	no	—
290	C₂²×C₄×C₁₁	—	2	2	no	—
291	C₂²×C₄×C₁₁	—	2	2	no	—
292	C₂²×C₄×C₁₁	—	8	4	no	—
293	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
294	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
295	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
296	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
297	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
298	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
299	C₁₁×SD₁₆	—	4	2	no	—
300	C₁₁×SD₁₆	—	4	4	no	—
301	C₁₁×D₈	—	2	4	no	—
302	C₁₁×D₈	—	2	8	no	—
303	C₁₁×D₈	—	4	4	no	—
304	C₁₁×D₈	—	4	4	no	—
305	C₁₁×D₈	—	4	4	no	—
306	C₁₁×M₁₆	—	4	2	no	—
307	C₂×C₈×C₁₁	—	4	4	no	—
308	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
309	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
310	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
311	C₁₁×C₄⋊C₄	—	2	1	no	—
312	C₁₁×C₄⋊C₄	—	2	2	no	—
313	C₁₁×C₄⋊C₄	—	2	2	no	—
314	C₁₁×C₄⋊C₄	—	2	1	no	—
315	C₁₁×C₄⋊C₄	—	2	1	no	—
316	C₁₁×C₄⋊C₄	—	2	2	no	—
317	C₁₁×C₄⋊C₄	—	2	2	no	—
318	C₁₁×C₄⋊C₄	—	2	1	no	—
319	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
320	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
321	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
322	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
323	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
324	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
325	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
326	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
327	C₁₁×C₂²⋊C₄	—	2	2	no	—
328	C₁₁×C₂²⋊C₄	—	2	1	no	—
329	C₁₁×C₂²⋊C₄	—	2	1	no	—
330	C₁₁×C₂²⋊C₄	—	2	2	no	—
331	C₁₁×C₂²⋊C₄	—	2	2	no	—
332	C₁₁×C₂²⋊C₄	—	2	2	no	—
333	C₁₁×C₂²⋊C₄	—	2	2	no	—
334	C₁₁×C₂²⋊C₄	—	2	2	no	—
335	C₁₁×C₂²⋊C₄	—	2	1	no	—
336	C₁₁×C₂²⋊C₄	—	2	2	no	—
337	C₁₁×C₂²⋊C₄	—	2	2	no	—
338	C₁₁×C₂²⋊C₄	—	2	2	no	—
339	C₁₁×C₂²⋊C₄	—	2	4	no	—
340	C₁₁×C₂²⋊C₄	—	2	4	no	—
341	C₁₁×C₂²⋊C₄	—	2	2	no	—
342	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
343	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
344	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
345	C₄²×C₁₁	—	2	1	no	—
346	C₄²×C₁₁	—	2	1	no	—
347	C₄²×C₁₁	—	2	1	no	—
348	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
349	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
350	C₄²×C₁₁	C₂×D₄	1	2	yes	—
351	C₄²×C₁₁	C₂×D₄	1	2	yes	—
352	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
353	C₄²×C₁₁	C₂⁴	1	2	yes	—
354	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
355	#3498	C₂×C₁₁	1	1	yes	characteristic, complemented
356	#3481	C₂×C₁₁	1	1	yes	characteristic, complemented
357	#3399	C₂×C₁₁	1	2	yes	complemented
358	#3366	C₂×C₁₁	1	2	yes	complemented
359	#3318	C₂×C₁₁	1	4	yes	complemented
360	#3295	C₂×C₁₁	1	2	yes	complemented
361	D₄×D₈	C₂×C₁₁	1	2	yes	complemented
362	#3264	C₂×C₁₁	1	4	yes	complemented
363	#3253	C₂×C₁₁	1	1	yes	characteristic, complemented
364	#3247	C₂×C₁₁	1	2	yes	complemented
365	#3217	C₂×C₁₁	1	2	yes	complemented
366	#3205	C₂×C₁₁	1	1	yes	characteristic, complemented
367	#3109	C₂×C₁₁	1	2	yes	complemented
368	#3106	C₂×C₁₁	1	1	yes	characteristic, complemented
369	#3038	C₂×C₁₁	1	1	yes	characteristic, complemented
370	C₂×#459	C₂×C₁₁	1	2	yes	complemented
371	#2990	C₂×C₁₁	1	1	yes	characteristic, complemented
372	C₂³×C₁₁	—	2	1	no	—
373	C₂³×C₁₁	—	2	2	no	—
374	C₂³×C₁₁	—	2	2	no	—
375	C₂³×C₁₁	—	2	4	no	—
376	C₂³×C₁₁	—	4	4	no	—
377	C₂³×C₁₁	—	4	4	no	—
378	C₂³×C₁₁	—	4	4	no	—
379	C₂³×C₁₁	—	4	8	no	—
380	C₂³×C₁₁	—	8	2	no	—
381	C₂³×C₁₁	—	8	4	no	—
382	C₂³×C₁₁	—	8	2	no	—
383	C₂³×C₁₁	—	8	4	no	—
384	C₂³×C₁₁	—	8	2	no	—
385	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
386	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
387	Q₈×C₁₁	—	2	2	no	—
388	Q₈×C₁₁	—	2	1	no	—
389	Q₈×C₁₁	—	2	1	no	—
390	Q₈×C₁₁	—	4	2	no	—
391	Q₈×C₁₁	—	8	1	no	—
392	D₄×C₁₁	—	2	4	no	—
393	D₄×C₁₁	—	2	2	no	—
394	D₄×C₁₁	—	2	4	no	—
395	D₄×C₁₁	—	2	2	no	—
396	D₄×C₁₁	—	2	1	no	—
397	D₄×C₁₁	—	2	2	no	—
398	D₄×C₁₁	—	2	4	no	—
399	D₄×C₁₁	—	2	2	no	—
400	D₄×C₁₁	—	4	4	no	—
401	D₄×C₁₁	—	4	4	no	—
402	D₄×C₁₁	—	4	2	no	—
403	D₄×C₁₁	—	4	8	no	—
404	D₄×C₁₁	—	4	2	no	—
405	D₄×C₁₁	—	4	4	no	—
406	D₄×C₁₁	—	4	4	no	—
407	D₄×C₁₁	—	4	8	no	—
408	D₄×C₁₁	—	4	2	no	—
409	D₄×C₁₁	—	4	4	no	—
410	D₄×C₁₁	—	4	2	no	—
411	D₄×C₁₁	—	4	4	no	—
412	D₄×C₁₁	—	8	2	no	—
413	D₄×C₁₁	—	8	4	no	—
414	D₄×C₁₁	—	8	4	no	—
415	D₄×C₁₁	—	8	2	no	—
416	D₄×C₁₁	—	8	1	no	—
417	D₄×C₁₁	—	8	2	no	—
418	D₄×C₁₁	AGL(1,ℤ/8)	1	4	yes	complemented
419	D₄×C₁₁	H(5,𝔽₂)	1	2	yes	complemented
420	C₂×C₄×C₁₁	—	2	4	no	—
421	C₂×C₄×C₁₁	—	2	2	no	—
422	C₂×C₄×C₁₁	—	2	4	no	—
423	C₂×C₄×C₁₁	—	2	2	no	—
424	C₂×C₄×C₁₁	—	2	2	no	—
425	C₂×C₄×C₁₁	—	2	1	no	—
426	C₂×C₄×C₁₁	—	2	2	no	—
427	C₂×C₄×C₁₁	—	2	1	no	—
428	C₂×C₄×C₁₁	—	2	1	no	—
429	C₂×C₄×C₁₁	—	2	1	no	—
430	C₂×C₄×C₁₁	—	2	1	no	—
431	C₂×C₄×C₁₁	—	2	2	no	—
432	C₂×C₄×C₁₁	—	2	2	no	—
433	C₂×C₄×C₁₁	—	4	2	no	—
434	C₂×C₄×C₁₁	—	4	8	no	—
435	C₂×C₄×C₁₁	—	4	2	no	—
436	C₂×C₄×C₁₁	—	4	4	no	—
437	C₂×C₄×C₁₁	—	4	2	no	—
438	C₂×C₄×C₁₁	—	4	4	no	—
439	C₂×C₄×C₁₁	—	8	2	no	—
440	C₂×C₄×C₁₁	—	8	2	no	—
441	C₂×C₄×C₁₁	—	8	2	no	—
442	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
443	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
444	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
445	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
446	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
447	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
448	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
449	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
450	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
451	C₈×C₁₁	—	2	2	no	—
452	C₈×C₁₁	—	2	4	no	—
453	C₈×C₁₁	—	2	2	no	—
454	C₂×H(5,𝔽₂)	—	2	1	no	—
455	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	complemented
456	C₂²×D₈	C₂²×C₁₁	1	4	yes	complemented
457	#559	C₂²×C₁₁	1	1	yes	characteristic, complemented
458	#554	C₂²×C₁₁	1	1	yes	characteristic, complemented
459	#554	C₂²×C₁₁	1	1	yes	characteristic, complemented
460	#553	—	2	1	no	—
461	#553	C₂²×C₁₁	1	2	yes	complemented
462	#551	—	2	2	no	—
463	#550	—	2	1	no	—
464	#550	C₂²×C₁₁	1	2	yes	complemented
465	#546	—	2	1	no	—
466	#546	C₂²×C₁₁	1	2	yes	complemented
467	D₄²	—	2	1	no	—
468	D₄²	—	2	2	no	—
469	D₄²	C₂²×C₁₁	1	2	yes	—
470	D₄²	C₂²×C₁₁	1	1	yes	characteristic, complemented
471	D₄²	C₂²×C₁₁	1	4	yes	complemented
472	#535	—	2	2	no	—
473	#535	—	2	1	no	—
474	#532	C₂²×C₁₁	1	1	yes	characteristic, complemented
475	#532	C₂²×C₁₁	1	2	yes	complemented
476	#532	C₂²×C₁₁	1	1	yes	characteristic, complemented
477	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic, complemented
478	C₂×#127	C₂²×C₁₁	1	2	yes	complemented
479	#529	—	2	1	no	—
480	#529	C₂²×C₁₁	1	2	yes	complemented
481	#525	—	2	2	no	—
482	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
483	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic, complemented
484	C₂×C₄×D₄	—	2	1	no	—
485	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	complemented
486	#496	C₂²×C₁₁	1	4	yes	complemented
487	#493	C₂²×C₁₁	1	2	yes	complemented
488	#490	C₂²×C₁₁	1	4	yes	complemented
489	#486	C₂²×C₁₁	1	2	yes	complemented
490	#482	C₂²×C₁₁	1	2	yes	complemented
491	#481	C₂²×C₁₁	1	4	yes	complemented
492	#478	C₂²×C₁₁	1	4	yes	complemented
493	#477	C₂²×C₁₁	1	1	yes	characteristic, complemented
494	#476	C₂²×C₁₁	1	1	yes	characteristic, complemented
495	#476	C₂²×C₁₁	1	2	yes	complemented
496	#476	C₂²×C₁₁	1	2	yes	complemented
497	#469	C₂²×C₁₁	1	4	yes	complemented
498	#466	C₂²×C₁₁	1	4	yes	complemented
499	#465	C₂²×C₁₁	1	4	yes	complemented
500	#463	C₂²×C₁₁	1	4	yes	complemented
501	#460	C₂²×C₁₁	1	1	yes	characteristic, complemented
502	#460	C₂²×C₁₁	1	2	yes	complemented
503	#460	C₂²×C₁₁	1	2	yes	complemented
504	#459	C₂²×C₁₁	1	1	yes	characteristic, complemented
505	#459	C₂²×C₁₁	1	2	yes	complemented
506	#459	C₂²×C₁₁	1	2	yes	complemented
507	#459	C₂²×C₁₁	1	4	yes	complemented
508	#459	C₂²×C₁₁	1	2	yes	complemented
509	#459	C₂²×C₁₁	1	2	yes	complemented
510	#459	C₂²×C₁₁	1	4	yes	complemented
511	#459	C₂²×C₁₁	1	2	yes	complemented
512	#459	C₂²×C₁₁	1	2	yes	complemented
513	#450	C₂²×C₁₁	1	4	yes	complemented
514	#449	C₂²×C₁₁	1	2	yes	complemented
515	#447	C₂²×C₁₁	1	4	yes	complemented
516	#447	C₂²×C₁₁	1	4	yes	complemented
517	#447	C₂²×C₁₁	1	4	yes	complemented
518	#446	C₂²×C₁₁	1	2	yes	complemented
519	#442	C₂²×C₁₁	1	4	yes	complemented
520	#442	C₂²×C₁₁	1	4	yes	complemented
521	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
522	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
523	#435	C₂²×C₁₁	1	4	yes	complemented
524	C₈×D₄	C₂²×C₁₁	1	2	yes	complemented
525	#432	C₂²×C₁₁	1	2	yes	complemented
526	#431	C₂²×C₁₁	1	1	yes	characteristic, complemented
527	#423	C₂²×C₁₁	1	1	yes	characteristic, complemented
528	C₂×C₄⋊C₈	C₂²×C₁₁	1	2	yes	complemented
529	#418	C₂²×C₁₁	1	2	yes	complemented
530	C₂×#102	C₂²×C₁₁	1	4	yes	complemented
531	C₂²×C₁₁	—	2	2	no	—
532	C₂²×C₁₁	—	2	2	no	—
533	C₂²×C₁₁	—	2	1	no	—
534	C₂²×C₁₁	—	2	2	no	—
535	C₂²×C₁₁	—	2	1	no	—
536	C₂²×C₁₁	—	2	1	no	—
537	C₂²×C₁₁	—	4	1	no	—
538	C₂²×C₁₁	—	4	1	no	—
539	C₂²×C₁₁	—	4	2	no	—
540	C₂²×C₁₁	—	4	2	no	—
541	C₂²×C₁₁	—	4	4	no	—
542	C₂²×C₁₁	—	4	4	no	—
543	C₂²×C₁₁	—	4	2	no	—
544	C₂²×C₁₁	—	4	2	no	—
545	C₂²×C₁₁	—	4	2	no	—
546	C₂²×C₁₁	—	4	2	no	—
547	C₂²×C₁₁	—	4	4	no	—
548	C₂²×C₁₁	—	8	8	no	—
549	C₂²×C₁₁	—	16	8	no	—
550	C₂²×C₁₁	—	16	4	no	—
551	C₂²×C₁₁	C₂×AGL(1,ℤ/8)	1	4	yes	—
552	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
553	C₄×C₁₁	—	2	1	no	—
554	C₄×C₁₁	—	2	2	no	—
555	C₄×C₁₁	—	2	1	no	—
556	C₄×C₁₁	—	2	2	no	—
557	C₄×C₁₁	—	2	2	no	—
558	C₄×C₁₁	—	2	1	no	—
559	C₄×C₁₁	—	4	1	no	—
560	C₄×C₁₁	—	4	2	no	—
561	C₄×C₁₁	—	4	1	no	—
562	C₄×C₁₁	—	4	1	no	—
563	C₄×C₁₁	—	4	2	no	—
564	C₄×C₁₁	C₂×AGL(1,ℤ/8)	1	2	yes	—
565	C₄×C₁₁	#576	1	2	yes	—
566	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
567	C₄×C₁₁	#585	1	1	yes	characteristic
568	H(5,𝔽₂)	—	4	8	no	—
569	C₂×#41	—	2	2	no	—
570	C₂×#41	—	2	2	no	—
571	C₂×#41	—	2	1	no	—
572	C₂×#41	—	2	1	no	—
573	C₂×#41	D₄×C₁₁	1	1	yes	characteristic
574	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
575	C₂²×D₄	—	2	1	no	—
576	C₂²×D₄	—	2	2	no	—
577	C₂²×D₄	—	2	4	no	—
578	C₂²×D₄	—	2	2	no	—
579	C₂²×D₄	—	2	1	no	—
580	C₂²×D₄	—	2	2	no	—
581	C₂²×D₄	—	2	1	no	—
582	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
583	C₂²×D₄	C₂³×C₁₁	1	4	yes	—
584	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
585	C₂³×C₄	—	2	2	no	—
586	AGL(1,ℤ/8)	—	4	4	no	—
587	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
588	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
589	C₂×D₈	—	4	8	no	—
590	C₂×D₈	C₂³×C₁₁	1	2	yes	—
591	C₂×D₈	C₂³×C₁₁	1	4	yes	—
592	C₂×D₈	C₂³×C₁₁	1	4	yes	—
593	C₂×D₈	C₂³×C₁₁	1	4	yes	—
594	C₂×D₈	C₂³×C₁₁	1	4	yes	—
595	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
596	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
597	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
598	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
599	#127	—	2	1	no	—
600	#127	—	2	2	no	—
601	#127	—	2	1	no	—
602	#127	—	2	2	no	—
603	#127	C₂³×C₁₁	1	2	yes	—
604	#127	C₂³×C₁₁	1	1	yes	characteristic
605	#127	C₂³×C₁₁	1	2	yes	—
606	#127	C₂³×C₁₁	1	4	yes	—
607	#127	C₂³×C₁₁	1	1	yes	characteristic
608	#126	—	2	2	no	—
609	#126	—	2	2	no	—
610	#125	—	2	1	no	—
611	#125	C₂³×C₁₁	1	2	yes	—
612	#124	—	2	1	no	—
613	#124	—	2	1	no	—
614	#124	—	2	2	no	—
615	#124	—	2	1	no	—
616	#124	C₂³×C₁₁	1	2	yes	—
617	#123	—	2	2	no	—
618	#123	—	2	2	no	—
619	#123	—	2	2	no	—
620	#123	—	2	2	no	—
621	C₂²⋊Q₈	—	2	1	no	—
622	C₂²⋊Q₈	—	2	2	no	—
623	C₂²⋊Q₈	—	2	2	no	—
624	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
625	#121	—	2	2	no	—
626	#121	—	2	2	no	—
627	#121	—	2	1	no	—
628	#121	—	2	1	no	—
629	#121	—	2	1	no	—
630	#121	—	2	2	no	—
631	#121	—	2	4	no	—
632	#121	—	2	2	no	—
633	#121	—	2	4	no	—
634	#121	—	2	2	no	—
635	#121	C₂³×C₁₁	1	2	yes	—
636	#121	C₂³×C₁₁	1	4	yes	—
637	#121	C₂³×C₁₁	1	2	yes	—
638	#121	C₂³×C₁₁	1	2	yes	—
639	#120	—	2	2	no	—
640	#120	—	2	2	no	—
641	#120	—	2	4	no	—
642	#120	—	2	4	no	—
643	#120	—	2	4	no	—
644	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
645	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
646	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
647	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
648	C₄×D₄	—	2	1	no	—
649	C₄×D₄	—	2	2	no	—
650	C₄×D₄	—	2	1	no	—
651	C₄×D₄	—	2	1	no	—
652	C₄×D₄	—	2	1	no	—
653	C₄×D₄	—	2	2	no	—
654	C₄×D₄	—	2	1	no	—
655	C₄×D₄	—	2	2	no	—
656	C₄×D₄	—	2	2	no	—
657	C₄×D₄	—	2	1	no	—
658	C₄×D₄	—	2	2	no	—
659	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
660	C₄×D₄	D₄×C₁₁	1	2	yes	—
661	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
662	C₄×D₄	C₂³×C₁₁	1	2	yes	—
663	C₄×D₄	C₂³×C₁₁	1	2	yes	—
664	C₄×D₄	C₂³×C₁₁	1	2	yes	—
665	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
666	C₄×D₄	C₂³×C₁₁	1	2	yes	—
667	C₄×D₄	C₂³×C₁₁	1	4	yes	—
668	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
669	C₄×D₄	C₂³×C₁₁	1	2	yes	—
670	#117	—	2	1	no	—
671	#117	—	2	2	no	—
672	#117	D₄×C₁₁	1	2	yes	—
673	#117	D₄×C₁₁	1	1	yes	characteristic
674	#117	C₂³×C₁₁	1	1	yes	characteristic
675	C₂×C₄⋊C₄	—	2	1	no	—
676	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
677	C₂×C₂²⋊C₄	—	2	2	no	—
678	C₂×C₂²⋊C₄	—	2	2	no	—
679	C₂×C₄²	—	2	1	no	—
680	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
681	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
682	#107	C₂³×C₁₁	1	2	yes	—
683	#106	C₂³×C₁₁	1	2	yes	—
684	#106	C₂³×C₁₁	1	4	yes	—
685	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
686	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
687	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
688	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
689	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
690	#103	C₂³×C₁₁	1	2	yes	—
691	#102	C₂³×C₁₁	1	2	yes	—
692	#102	C₂³×C₁₁	1	4	yes	—
693	#102	C₂³×C₁₁	1	4	yes	—
694	#102	C₂³×C₁₁	1	4	yes	—
695	#102	C₂³×C₁₁	1	4	yes	—
696	#102	C₂³×C₁₁	1	2	yes	—
697	#102	C₂³×C₁₁	1	2	yes	—
698	#102	C₂³×C₁₁	1	4	yes	—
699	#102	C₂³×C₁₁	1	4	yes	—
700	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
701	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
702	#97	C₂³×C₁₁	1	4	yes	—
703	C₄×C₈	C₂³×C₁₁	1	2	yes	—
704	C₂×C₁₁	—	2	4	no	—
705	C₂×C₁₁	—	4	1	no	—
706	C₂×C₁₁	—	4	2	no	—
707	C₂×C₁₁	—	8	2	no	—
708	C₂×C₁₁	—	8	2	no	—
709	C₂×C₁₁	—	8	4	no	—
710	C₂×C₁₁	#3488	1	1	yes	characteristic
711	C₂×C₁₁	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
712	C₂×C₁₁	C₂×#576	1	1	yes	characteristic
713	C₂⁴	—	2	2	no	—
714	C₂⁴	—	2	2	no	—
715	C₂⁴	—	2	4	no	—
716	#41	—	2	4	no	—
717	#41	—	2	2	no	—
718	#41	—	4	1	no	—
719	#41	—	4	8	no	—
720	#41	—	4	4	no	—
721	#41	—	4	8	no	—
722	#41	—	8	2	no	—
723	C₂×Q₈	—	2	1	no	—
724	C₂×Q₈	—	2	1	no	—
725	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
726	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
727	C₂×D₄	—	2	4	no	—
728	C₂×D₄	—	2	1	no	—
729	C₂×D₄	—	2	2	no	—
730	C₂×D₄	—	2	2	no	—
731	C₂×D₄	—	2	4	no	—
732	C₂×D₄	—	2	2	no	—
733	C₂×D₄	—	2	2	no	—
734	C₂×D₄	—	2	1	no	—
735	C₂×D₄	—	2	1	no	—
736	C₂×D₄	—	2	2	no	—
737	C₂×D₄	—	2	4	no	—
738	C₂×D₄	—	2	2	no	—
739	C₂×D₄	—	2	1	no	—
740	C₂×D₄	—	2	2	no	—
741	C₂×D₄	—	2	2	no	—
742	C₂×D₄	—	2	4	no	—
743	C₂×D₄	—	2	4	no	—
744	C₂×D₄	—	2	2	no	—
745	C₂×D₄	—	2	1	no	—
746	C₂×D₄	—	4	2	no	—
747	C₂×D₄	—	4	4	no	—
748	C₂×D₄	—	4	2	no	—
749	C₂×D₄	—	4	4	no	—
750	C₂×D₄	—	4	2	no	—
751	C₂×D₄	—	4	8	no	—
752	C₂×D₄	—	4	4	no	—
753	C₂×D₄	—	4	16	no	—
754	C₂×D₄	—	4	8	no	—
755	C₂×D₄	—	4	4	no	—
756	C₂×D₄	—	8	4	no	—
757	C₂×D₄	—	8	2	no	—
758	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
759	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
760	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
761	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
762	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
763	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
764	C₂²×C₄	—	2	2	no	—
765	C₂²×C₄	—	2	1	no	—
766	C₂²×C₄	—	2	1	no	—
767	C₂²×C₄	—	2	1	no	—
768	C₂²×C₄	—	2	2	no	—
769	C₂²×C₄	—	2	4	no	—
770	C₂²×C₄	—	2	2	no	—
771	C₂²×C₄	—	2	2	no	—
772	C₂²×C₄	—	2	2	no	—
773	C₂²×C₄	—	8	4	no	—
774	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
775	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
776	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
777	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
778	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
779	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
780	SD₁₆	—	4	4	no	—
781	SD₁₆	—	4	2	no	—
782	D₈	—	2	4	no	—
783	D₈	—	2	8	no	—
784	D₈	—	4	4	no	—
785	D₈	—	4	4	no	—
786	D₈	—	4	4	no	—
787	M₁₆	—	4	2	no	—
788	C₂×C₈	—	4	4	no	—
789	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
790	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
791	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
792	C₄⋊C₄	—	2	1	no	—
793	C₄⋊C₄	—	2	2	no	—
794	C₄⋊C₄	—	2	2	no	—
795	C₄⋊C₄	—	2	1	no	—
796	C₄⋊C₄	—	2	1	no	—
797	C₄⋊C₄	—	2	2	no	—
798	C₄⋊C₄	—	2	2	no	—
799	C₄⋊C₄	—	2	1	no	—
800	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
801	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
802	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
803	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
804	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
805	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
806	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
807	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
808	C₂²⋊C₄	—	2	2	no	—
809	C₂²⋊C₄	—	2	1	no	—
810	C₂²⋊C₄	—	2	1	no	—
811	C₂²⋊C₄	—	2	2	no	—
812	C₂²⋊C₄	—	2	2	no	—
813	C₂²⋊C₄	—	2	2	no	—
814	C₂²⋊C₄	—	2	2	no	—
815	C₂²⋊C₄	—	2	2	no	—
816	C₂²⋊C₄	—	2	1	no	—
817	C₂²⋊C₄	—	2	2	no	—
818	C₂²⋊C₄	—	2	2	no	—
819	C₂²⋊C₄	—	2	2	no	—
820	C₂²⋊C₄	—	2	4	no	—
821	C₂²⋊C₄	—	2	4	no	—
822	C₂²⋊C₄	—	2	2	no	—
823	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
824	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
825	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
826	C₄²	—	2	1	no	—
827	C₄²	—	2	1	no	—
828	C₄²	—	2	1	no	—
829	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
830	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
831	C₄²	C₂×D₄×C₁₁	1	2	yes	—
832	C₄²	C₂×D₄×C₁₁	1	2	yes	—
833	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
834	C₄²	C₂⁴×C₁₁	1	2	yes	—
835	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
836	C₁₁	#61979	1	1	yes	characteristic, direct product factor, Sylow
837	C₂³	—	2	1	no	—
838	C₂³	—	2	2	no	—
839	C₂³	—	2	2	no	—
840	C₂³	—	2	4	no	—
841	C₂³	—	4	4	no	—
842	C₂³	—	4	4	no	—
843	C₂³	—	4	4	no	—
844	C₂³	—	4	8	no	—
845	C₂³	—	8	2	no	—
846	C₂³	—	8	4	no	—
847	C₂³	—	8	2	no	—
848	C₂³	—	8	4	no	—
849	C₂³	—	8	2	no	—
850	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
851	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
852	Q₈	—	2	2	no	—
853	Q₈	—	2	1	no	—
854	Q₈	—	2	1	no	—
855	Q₈	—	4	2	no	—
856	Q₈	—	8	1	no	—
857	D₄	—	2	4	no	—
858	D₄	—	2	2	no	—
859	D₄	—	2	4	no	—
860	D₄	—	2	2	no	—
861	D₄	—	2	1	no	—
862	D₄	—	2	2	no	—
863	D₄	—	2	4	no	—
864	D₄	—	2	2	no	—
865	D₄	—	4	4	no	—
866	D₄	—	4	4	no	—
867	D₄	—	4	2	no	—
868	D₄	—	4	8	no	—
869	D₄	—	4	2	no	—
870	D₄	—	4	4	no	—
871	D₄	—	4	4	no	—
872	D₄	—	4	8	no	—
873	D₄	—	4	2	no	—
874	D₄	—	4	4	no	—
875	D₄	—	4	2	no	—
876	D₄	—	4	4	no	—
877	D₄	—	8	2	no	—
878	D₄	—	8	4	no	—
879	D₄	—	8	4	no	—
880	D₄	—	8	2	no	—
881	D₄	—	8	1	no	—
882	D₄	—	8	2	no	—
883	D₄	C₁₁×AGL(1,ℤ/8)	1	4	yes	complemented
884	D₄	C₁₁×H(5,𝔽₂)	1	2	yes	complemented
885	C₂×C₄	—	2	4	no	—
886	C₂×C₄	—	2	2	no	—
887	C₂×C₄	—	2	4	no	—
888	C₂×C₄	—	2	2	no	—
889	C₂×C₄	—	2	2	no	—
890	C₂×C₄	—	2	1	no	—
891	C₂×C₄	—	2	2	no	—
892	C₂×C₄	—	2	1	no	—
893	C₂×C₄	—	2	1	no	—
894	C₂×C₄	—	2	1	no	—
895	C₂×C₄	—	2	1	no	—
896	C₂×C₄	—	2	2	no	—
897	C₂×C₄	—	2	2	no	—
898	C₂×C₄	—	4	2	no	—
899	C₂×C₄	—	4	8	no	—
900	C₂×C₄	—	4	2	no	—
901	C₂×C₄	—	4	4	no	—
902	C₂×C₄	—	4	2	no	—
903	C₂×C₄	—	4	4	no	—
904	C₂×C₄	—	8	2	no	—
905	C₂×C₄	—	8	2	no	—
906	C₂×C₄	—	8	2	no	—
907	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
908	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
909	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
910	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
911	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
912	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
913	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
914	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
915	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
916	C₈	—	2	2	no	—
917	C₈	—	2	4	no	—
918	C₈	—	2	2	no	—
919	C₂²	—	2	2	no	—
920	C₂²	—	2	2	no	—
921	C₂²	—	2	1	no	—
922	C₂²	—	2	2	no	—
923	C₂²	—	2	1	no	—
924	C₂²	—	2	1	no	—
925	C₂²	—	4	1	no	—
926	C₂²	—	4	1	no	—
927	C₂²	—	4	2	no	—
928	C₂²	—	4	2	no	—
929	C₂²	—	4	4	no	—
930	C₂²	—	4	4	no	—
931	C₂²	—	4	2	no	—
932	C₂²	—	4	2	no	—
933	C₂²	—	4	2	no	—
934	C₂²	—	4	2	no	—
935	C₂²	—	4	4	no	—
936	C₂²	—	8	8	no	—
937	C₂²	—	16	8	no	—
938	C₂²	—	16	4	no	—
939	C₂²	C₂×C₁₁×AGL(1,ℤ/8)	1	4	yes	—
940	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
941	C₄	—	2	1	no	—
942	C₄	—	2	2	no	—
943	C₄	—	2	1	no	—
944	C₄	—	2	2	no	—
945	C₄	—	2	2	no	—
946	C₄	—	2	1	no	—
947	C₄	—	4	1	no	—
948	C₄	—	4	2	no	—
949	C₄	—	4	1	no	—
950	C₄	—	4	1	no	—
951	C₄	—	4	2	no	—
952	C₄	C₂×C₁₁×AGL(1,ℤ/8)	1	2	yes	—
953	C₄	C₁₁×#576	1	2	yes	—
954	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
955	C₄	C₁₁×#585	1	1	yes	characteristic
956	C₂	—	2	4	no	—
957	C₂	—	4	1	no	—
958	C₂	—	4	2	no	—
959	C₂	—	8	2	no	—
960	C₂	—	8	2	no	—
961	C₂	—	8	4	no	—
962	C₂	C₁₁×#3488	1	1	yes	characteristic
963	C₂	C₂²×C₁₁×AGL(1,ℤ/8)	1	1	yes	characteristic
964	C₂	C₂×C₁₁×#576	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 ◁ C₄×C₁₁×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3498	C₂	semidirect
2. C₁₁×#3481	C₂	semidirect
3. C₁₁×#3399	C₂	semidirect
4. C₁₁×#3366	C₂	semidirect
5. C₁₁×#3318	C₂	semidirect
6. C₁₁×#3295	C₂	semidirect
7. D₄×C₁₁×D₈	C₂	semidirect
8. C₁₁×#3264	C₂	semidirect
9. C₁₁×#3253	C₂	semidirect
10. C₁₁×#3247	C₂	semidirect
11. C₁₁×#3217	C₂	semidirect
12. C₁₁×#3205	C₂	semidirect
13. C₁₁×#3109	C₂	semidirect
14. C₁₁×#3106	C₂	semidirect
15. C₁₁×#3038	C₂	semidirect
16. C₂×C₁₁×#459	C₂	semidirect
17. C₁₁×#2990	C₂	semidirect
19. C₂×C₁₁×AGL(1,ℤ/8)	C₂²	semidirect
20. C₂²×C₁₁×D₈	C₂²	semidirect
21. C₁₁×#559	C₂²	semidirect
22. C₁₁×#554	C₂²	semidirect
23. C₁₁×#554	C₂²	semidirect
25. C₁₁×#553	C₂²	semidirect
28. C₁₁×#550	C₂²	semidirect
30. C₁₁×#546	C₂²	semidirect
34. D₄²×C₁₁	C₂²	semidirect
35. D₄²×C₁₁	C₂²	semidirect
38. C₁₁×#532	C₂²	semidirect
39. C₁₁×#532	C₂²	semidirect
40. C₁₁×#532	C₂²	semidirect
41. C₂×C₁₁×#127	C₂²	semidirect
42. C₂×C₁₁×#127	C₂²	semidirect
44. C₁₁×#529	C₂²	semidirect
47. C₄×C₁₁×#41	C₂²	semidirect
49. C₂×C₄×D₄×C₁₁	C₂²	semidirect
50. C₁₁×#496	C₂²	semidirect
51. C₁₁×#493	C₂²	semidirect
52. C₁₁×#490	C₂²	semidirect
53. C₁₁×#486	C₂²	semidirect
54. C₁₁×#482	C₂²	semidirect
55. C₁₁×#481	C₂²	semidirect
56. C₁₁×#478	C₂²	semidirect
57. C₁₁×#477	C₂²	semidirect
58. C₁₁×#476	C₂²	semidirect
59. C₁₁×#476	C₂²	semidirect
60. C₁₁×#476	C₂²	semidirect
61. C₁₁×#469	C₂²	semidirect
62. C₁₁×#466	C₂²	semidirect
63. C₁₁×#465	C₂²	semidirect
64. C₁₁×#463	C₂²	semidirect
65. C₁₁×#460	C₂²	semidirect
66. C₁₁×#460	C₂²	semidirect
67. C₁₁×#460	C₂²	semidirect
68. C₁₁×#459	C₂²	semidirect
69. C₁₁×#459	C₂²	semidirect
70. C₁₁×#459	C₂²	semidirect
71. C₁₁×#459	C₂²	semidirect
72. C₁₁×#459	C₂²	semidirect
73. C₁₁×#459	C₂²	semidirect
74. C₁₁×#459	C₂²	semidirect
75. C₁₁×#459	C₂²	semidirect
76. C₁₁×#459	C₂²	semidirect
77. C₁₁×#450	C₂²	semidirect
78. C₁₁×#449	C₂²	semidirect
79. C₁₁×#447	C₂²	semidirect
80. C₁₁×#447	C₂²	semidirect
81. C₁₁×#447	C₂²	semidirect
82. C₁₁×#446	C₂²	semidirect
83. C₁₁×#442	C₂²	semidirect
84. C₁₁×#442	C₂²	semidirect
85. C₄×C₁₁×SD₁₆	C₂²	semidirect
86. C₄×C₁₁×D₈	C₂²	semidirect
87. C₁₁×#435	C₂²	semidirect
88. C₈×D₄×C₁₁	C₂²	semidirect
89. C₁₁×#432	C₂²	semidirect
90. C₁₁×#431	C₂²	semidirect
91. C₁₁×#423	C₂²	semidirect
92. C₂×C₁₁×C₄⋊C₈	C₂²	semidirect
93. C₁₁×#418	C₂²	semidirect
94. C₂×C₁₁×#102	C₂²	semidirect
231. #61979	C₁₁	direct (N × H)
355. #3498	C₂×C₁₁	semidirect
356. #3481	C₂×C₁₁	semidirect
357. #3399	C₂×C₁₁	semidirect
358. #3366	C₂×C₁₁	semidirect
359. #3318	C₂×C₁₁	semidirect
360. #3295	C₂×C₁₁	semidirect
361. D₄×D₈	C₂×C₁₁	semidirect
362. #3264	C₂×C₁₁	semidirect
363. #3253	C₂×C₁₁	semidirect
364. #3247	C₂×C₁₁	semidirect
365. #3217	C₂×C₁₁	semidirect
366. #3205	C₂×C₁₁	semidirect
367. #3109	C₂×C₁₁	semidirect
368. #3106	C₂×C₁₁	semidirect
369. #3038	C₂×C₁₁	semidirect
370. C₂×#459	C₂×C₁₁	semidirect
371. #2990	C₂×C₁₁	semidirect
418. D₄×C₁₁	AGL(1,ℤ/8)	semidirect
419. D₄×C₁₁	H(5,𝔽₂)	semidirect
455. C₂×AGL(1,ℤ/8)	C₂²×C₁₁	semidirect
456. C₂²×D₈	C₂²×C₁₁	semidirect
457. #559	C₂²×C₁₁	semidirect
458. #554	C₂²×C₁₁	semidirect
459. #554	C₂²×C₁₁	semidirect
461. #553	C₂²×C₁₁	semidirect
464. #550	C₂²×C₁₁	semidirect
466. #546	C₂²×C₁₁	semidirect
470. D₄²	C₂²×C₁₁	semidirect
471. D₄²	C₂²×C₁₁	semidirect
474. #532	C₂²×C₁₁	semidirect
475. #532	C₂²×C₁₁	semidirect
476. #532	C₂²×C₁₁	semidirect
477. C₂×#127	C₂²×C₁₁	semidirect
478. C₂×#127	C₂²×C₁₁	semidirect
480. #529	C₂²×C₁₁	semidirect
483. C₄×#41	C₂²×C₁₁	semidirect
485. C₂×C₄×D₄	C₂²×C₁₁	semidirect
486. #496	C₂²×C₁₁	semidirect
487. #493	C₂²×C₁₁	semidirect
488. #490	C₂²×C₁₁	semidirect
489. #486	C₂²×C₁₁	semidirect
490. #482	C₂²×C₁₁	semidirect
491. #481	C₂²×C₁₁	semidirect
492. #478	C₂²×C₁₁	semidirect
493. #477	C₂²×C₁₁	semidirect
494. #476	C₂²×C₁₁	semidirect
495. #476	C₂²×C₁₁	semidirect
496. #476	C₂²×C₁₁	semidirect
497. #469	C₂²×C₁₁	semidirect
498. #466	C₂²×C₁₁	semidirect
499. #465	C₂²×C₁₁	semidirect
500. #463	C₂²×C₁₁	semidirect
501. #460	C₂²×C₁₁	semidirect
502. #460	C₂²×C₁₁	semidirect
503. #460	C₂²×C₁₁	semidirect
504. #459	C₂²×C₁₁	semidirect
505. #459	C₂²×C₁₁	semidirect
506. #459	C₂²×C₁₁	semidirect
507. #459	C₂²×C₁₁	semidirect
508. #459	C₂²×C₁₁	semidirect
509. #459	C₂²×C₁₁	semidirect
510. #459	C₂²×C₁₁	semidirect
511. #459	C₂²×C₁₁	semidirect
512. #459	C₂²×C₁₁	semidirect
513. #450	C₂²×C₁₁	semidirect
514. #449	C₂²×C₁₁	semidirect
515. #447	C₂²×C₁₁	semidirect
516. #447	C₂²×C₁₁	semidirect
517. #447	C₂²×C₁₁	semidirect
518. #446	C₂²×C₁₁	semidirect
519. #442	C₂²×C₁₁	semidirect
520. #442	C₂²×C₁₁	semidirect
521. C₄×SD₁₆	C₂²×C₁₁	semidirect
522. C₄×D₈	C₂²×C₁₁	semidirect
523. #435	C₂²×C₁₁	semidirect
524. C₈×D₄	C₂²×C₁₁	semidirect
525. #432	C₂²×C₁₁	semidirect
526. #431	C₂²×C₁₁	semidirect
527. #423	C₂²×C₁₁	semidirect
528. C₂×C₄⋊C₈	C₂²×C₁₁	semidirect
529. #418	C₂²×C₁₁	semidirect
530. C₂×#102	C₂²×C₁₁	semidirect
836. C₁₁	#61979	direct (N × H)
883. D₄	C₁₁×AGL(1,ℤ/8)	semidirect
884. D₄	C₁₁×H(5,𝔽₂)	semidirect

Maximal subgroups

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

subgroup	index
C₁₁×#3498	2
C₁₁×#3481	2
C₁₁×#3399	2
C₁₁×#3366	2
C₁₁×#3318	2
C₁₁×#3295	2
D₄×C₁₁×D₈	2
C₁₁×#3264	2
C₁₁×#3253	2
C₁₁×#3247	2
C₁₁×#3217	2
C₁₁×#3205	2
C₁₁×#3109	2
C₁₁×#3106	2
C₁₁×#3038	2
C₂×C₁₁×#459	2
C₁₁×#2990	2
#61979	11

Subgroups — C11×#61979 #14639172

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61979 #14639172