Subgroups — C₁₁×#61711 #14638904

Order 2816.

1762 conjugacy classes of subgroups.

The subgroup lattice has 822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3506	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₁×#552	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3349	C₂	1	4	yes	maximal, complemented
4	C₁₁×#3348	C₂	1	4	yes	maximal, complemented
5	C₁₁×#3317	C₂	1	4	yes	maximal, complemented
6	C₁₁×#3315	C₂	1	4	yes	maximal, complemented
7	C₁₁×#3236	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#3234	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#3196	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3190	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3113	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#3112	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3092	C₂	1	2	yes	maximal, complemented
14	C₁₁×#3091	C₂	1	2	yes	maximal, complemented
15	C₁₁×#2973	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#559	—	2	2	no	—
17	C₁₁×#556	C₂²	1	2	yes	—
18	C₁₁×#555	C₂²	1	2	yes	—
19	C₁₁×#553	—	2	2	no	—
20	C₁₁×#552	—	2	2	no	—
21	C₁₁×#552	—	2	2	no	—
22	C₁₁×#552	C₂²	1	4	yes	—
23	C₁₁×#552	C₂²	1	4	yes	—
24	C₁₁×#550	C₂²	1	2	yes	—
25	C₁₁×#547	C₂²	1	2	yes	—
26	C₁₁×#538	—	2	1	no	—
27	C₁₁×#538	—	2	1	no	—
28	C₁₁×#535	—	2	1	no	—
29	C₁₁×#533	C₂²	1	1	yes	characteristic
30	C₁₁×#532	C₂²	1	1	yes	characteristic
31	C₂×C₁₁×#126	—	2	1	no	—
32	C₂×C₁₁×#125	—	2	1	no	—
33	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic
34	C₁₁×#525	C₂²	1	2	yes	—
35	C₁₁×#525	C₂²	1	2	yes	—
36	C₂×C₁₁×#123	—	2	1	no	—
37	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
38	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
39	C₁₁×#520	—	2	1	no	—
40	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
41	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
42	C₂×C₁₁×#117	—	2	1	no	—
43	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
44	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
45	C₁₁×#501	C₂²	1	2	yes	complemented
46	C₁₁×#501	C₂²	1	2	yes	complemented
47	C₁₁×#491	C₂²	1	2	yes	complemented
48	C₁₁×#490	C₂²	1	2	yes	complemented
49	C₁₁×#485	C₂²	1	4	yes	complemented
50	C₁₁×#485	C₂²	1	4	yes	complemented
51	C₁₁×#485	C₂²	1	4	yes	complemented
52	C₁₁×#484	C₂²	1	2	yes	—
53	C₁₁×#484	C₂²	1	4	yes	complemented
54	C₁₁×#483	C₂²	1	2	yes	—
55	C₁₁×#483	C₂²	1	2	yes	—
56	C₁₁×#482	C₂²	1	4	yes	complemented
57	C₁₁×#481	C₂²	1	2	yes	—
58	C₁₁×#481	C₂²	1	4	yes	complemented
59	C₁₁×#480	C₂²	1	2	yes	—
60	C₁₁×#480	C₂²	1	2	yes	—
61	C₁₁×#479	C₂²	1	4	yes	complemented
62	C₁₁×#478	C₂²	1	4	yes	complemented
63	C₁₁×#477	C₂²	1	2	yes	complemented
64	C₁₁×#475	C₂²	1	2	yes	complemented
65	C₁₁×#470	C₂²	1	4	yes	complemented
66	C₁₁×#468	C₂²	1	4	yes	complemented
67	C₁₁×#467	C₂²	1	4	yes	complemented
68	C₁₁×#465	C₂²	1	4	yes	complemented
69	C₁₁×#462	C₂²	1	2	yes	complemented
70	C₁₁×#460	C₂²	1	2	yes	complemented
71	C₁₁×#452	C₂²	1	4	yes	complemented
72	C₁₁×#452	C₂²	1	4	yes	complemented
73	C₁₁×#451	C₂²	1	2	yes	—
74	C₁₁×#448	C₂²	1	2	yes	—
75	C₁₁×#441	C₂²	1	4	yes	complemented
76	C₁₁×#440	C₂²	1	4	yes	complemented
77	C₁₁×#435	C₂²	1	4	yes	—
78	C₁₁×#435	C₂²	1	4	yes	—
79	C₁₁×#432	C₂²	1	1	yes	characteristic
80	C₁₁×#432	C₂²	1	1	yes	characteristic
81	C₁₁×#428	C₂²	1	4	yes	complemented
82	C₁₁×#427	C₂²	1	4	yes	complemented
83	C₁₁×#417	C₂²	1	4	yes	complemented
84	C₁₁×#416	C₂²	1	4	yes	complemented
85	C₁₁×#407	C₂²	1	2	yes	—
86	C₂×C₁₁×C₂²⋊C₈	C₂²	1	2	yes	—
87	C₂×C₁₁×#41	—	2	1	no	—
88	C₂×C₁₁×#41	C₂³	1	2	yes	—
89	C₂×C₁₁×#41	C₂³	1	2	yes	—
90	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
91	C₂²×D₄×C₁₁	D₄	1	1	yes	characteristic
92	C₂³×C₄×C₁₁	—	2	1	no	—
93	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
94	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
95	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
96	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
97	C₂×C₁₁×M₁₆	C₂³	1	4	yes	—
98	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
99	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
100	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
101	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
102	C₁₁×#127	—	2	2	no	—
103	C₁₁×#127	C₂³	1	1	yes	characteristic
104	C₁₁×#126	—	2	4	no	—
105	C₁₁×#126	—	2	4	no	—
106	C₁₁×#126	—	2	2	no	—
107	C₁₁×#126	—	2	2	no	—
108	C₁₁×#125	—	2	4	no	—
109	C₁₁×#125	—	2	4	no	—
110	C₁₁×#125	—	2	1	no	—
111	C₁₁×#125	—	2	1	no	—
112	C₁₁×#125	—	2	1	no	—
113	C₁₁×#125	C₂³	1	2	yes	—
114	C₁₁×#125	C₂³	1	2	yes	—
115	C₁₁×#124	—	2	2	no	—
116	C₁₁×#124	—	2	2	no	—
117	C₁₁×#124	—	2	2	no	—
118	C₁₁×#124	—	2	1	no	—
119	C₁₁×#123	—	2	4	no	—
120	C₁₁×#123	—	2	4	no	—
121	C₁₁×#123	—	2	2	no	—
122	C₁₁×#123	—	2	2	no	—
123	C₁₁×#123	—	2	2	no	—
124	C₁₁×#123	—	2	2	no	—
125	C₁₁×C₂²⋊Q₈	—	2	2	no	—
126	C₁₁×C₂²⋊Q₈	—	2	2	no	—
127	C₁₁×C₂²⋊Q₈	—	2	1	no	—
128	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
129	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
130	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
131	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
132	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
133	C₁₁×#121	—	2	2	no	—
134	C₁₁×#121	—	2	2	no	—
135	C₁₁×#121	—	2	1	no	—
136	C₁₁×#121	—	2	2	no	—
137	C₁₁×#121	—	2	2	no	—
138	C₁₁×#121	C₂³	1	2	yes	—
139	C₁₁×#121	C₂³	1	2	yes	—
140	C₁₁×#121	C₂³	1	2	yes	—
141	C₁₁×#120	—	2	2	no	—
142	C₁₁×#120	—	2	2	no	—
143	C₄×Q₈×C₁₁	—	2	2	no	—
144	C₄×Q₈×C₁₁	—	2	1	no	—
145	C₄×Q₈×C₁₁	—	2	1	no	—
146	C₄×Q₈×C₁₁	—	2	1	no	—
147	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
148	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
149	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
150	C₄×D₄×C₁₁	—	2	2	no	—
151	C₄×D₄×C₁₁	—	2	2	no	—
152	C₄×D₄×C₁₁	—	2	2	no	—
153	C₄×D₄×C₁₁	—	2	2	no	—
154	C₄×D₄×C₁₁	—	2	2	no	—
155	C₄×D₄×C₁₁	—	2	1	no	—
156	C₄×D₄×C₁₁	D₄	1	2	yes	—
157	C₄×D₄×C₁₁	D₄	1	2	yes	—
158	C₄×D₄×C₁₁	C₂³	1	2	yes	—
159	C₄×D₄×C₁₁	C₂³	1	2	yes	—
160	C₄×D₄×C₁₁	C₂³	1	2	yes	—
161	C₁₁×#117	—	2	2	no	—
162	C₁₁×#117	—	2	1	no	—
163	C₁₁×#117	—	2	2	no	—
164	C₁₁×#117	—	2	4	no	—
165	C₁₁×#117	—	2	4	no	—
166	C₁₁×#117	C₂³	1	4	yes	—
167	C₁₁×#117	C₂³	1	2	yes	—
168	C₁₁×#117	C₂³	1	2	yes	—
169	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
170	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
171	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
172	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
173	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
174	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
175	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
176	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
177	C₂×C₁₁×C₄⋊C₄	D₄	1	1	yes	characteristic
178	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
179	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
181	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
182	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
183	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
184	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
185	C₂×C₁₁×C₂²⋊C₄	D₄	1	1	yes	characteristic
186	C₂×C₁₁×C₂²⋊C₄	D₄	1	1	yes	characteristic
187	C₂×C₄²×C₁₁	—	2	1	no	—
188	C₂×C₄²×C₁₁	—	2	1	no	—
189	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
190	C₁₁×#107	C₂³	1	4	yes	—
191	C₁₁×#107	C₂³	1	4	yes	—
192	C₁₁×#107	C₂³	1	4	yes	—
193	C₁₁×#106	C₂³	1	4	yes	—
194	C₁₁×#106	C₂³	1	4	yes	—
195	C₁₁×#106	C₂³	1	4	yes	—
196	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
197	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
198	C₁₁×#103	C₂³	1	4	yes	—
199	C₁₁×#103	C₂³	1	4	yes	—
200	C₁₁×#103	C₂³	1	4	yes	—
201	C₁₁×#103	C₂³	1	4	yes	—
202	C₁₁×#103	C₂³	1	4	yes	—
203	C₁₁×#102	C₂³	1	4	yes	—
204	C₁₁×#102	C₂³	1	4	yes	—
205	C₁₁×#102	C₂³	1	4	yes	—
206	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
207	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
208	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
209	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
210	C₁₁×#97	C₂³	1	2	yes	—
211	C₁₁×#97	C₂³	1	2	yes	—
212	#61711	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
213	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
214	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
215	C₁₁×#41	—	4	4	no	—
216	C₁₁×#41	—	4	4	no	—
217	C₁₁×#41	—	4	4	no	—
218	C₂×Q₈×C₁₁	—	2	1	no	—
219	C₂×Q₈×C₁₁	—	2	1	no	—
220	C₂×Q₈×C₁₁	—	2	1	no	—
221	C₂×Q₈×C₁₁	—	4	2	no	—
222	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
223	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
224	C₂×D₄×C₁₁	—	2	2	no	—
225	C₂×D₄×C₁₁	—	2	2	no	—
226	C₂×D₄×C₁₁	—	2	2	no	—
227	C₂×D₄×C₁₁	—	2	2	no	—
228	C₂×D₄×C₁₁	—	2	2	no	—
229	C₂×D₄×C₁₁	—	2	1	no	—
230	C₂×D₄×C₁₁	—	2	1	no	—
231	C₂×D₄×C₁₁	—	4	2	no	—
232	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
233	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
234	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
235	C₂²×C₄×C₁₁	—	2	1	no	—
236	C₂²×C₄×C₁₁	—	2	1	no	—
237	C₂²×C₄×C₁₁	—	2	1	no	—
238	C₂²×C₄×C₁₁	—	2	1	no	—
239	C₂²×C₄×C₁₁	—	2	4	no	—
240	C₂²×C₄×C₁₁	—	2	2	no	—
241	C₂²×C₄×C₁₁	—	2	2	no	—
242	C₂²×C₄×C₁₁	—	2	2	no	—
243	C₂²×C₄×C₁₁	—	4	2	no	—
244	C₂²×C₄×C₁₁	—	4	2	no	—
245	C₂²×C₄×C₁₁	—	4	4	no	—
246	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
247	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
248	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
249	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
250	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
251	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
252	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
253	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
254	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
255	C₁₁×Q₁₆	—	4	4	no	—
256	C₁₁×SD₁₆	—	4	4	no	—
257	C₁₁×M₁₆	—	4	4	no	—
258	C₂×C₈×C₁₁	—	4	4	no	—
259	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
260	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
261	C₁₁×C₄⋊C₄	—	2	1	no	—
262	C₁₁×C₄⋊C₄	—	2	1	no	—
263	C₁₁×C₄⋊C₄	—	2	4	no	—
264	C₁₁×C₄⋊C₄	—	2	1	no	—
265	C₁₁×C₄⋊C₄	—	2	4	no	—
266	C₁₁×C₄⋊C₄	—	2	2	no	—
267	C₁₁×C₄⋊C₄	—	2	2	no	—
268	C₁₁×C₄⋊C₄	—	2	2	no	—
269	C₁₁×C₄⋊C₄	—	2	2	no	—
270	C₁₁×C₄⋊C₄	—	2	2	no	—
271	C₁₁×C₄⋊C₄	—	2	2	no	—
272	C₁₁×C₄⋊C₄	—	2	4	no	—
273	C₁₁×C₄⋊C₄	—	2	2	no	—
274	C₁₁×C₄⋊C₄	—	2	2	no	—
275	C₁₁×C₄⋊C₄	—	2	1	no	—
276	C₁₁×C₄⋊C₄	—	2	1	no	—
277	C₁₁×C₄⋊C₄	—	2	2	no	—
278	C₁₁×C₄⋊C₄	—	2	1	no	—
279	C₁₁×C₄⋊C₄	—	2	1	no	—
280	C₁₁×C₄⋊C₄	—	2	2	no	—
281	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
282	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
283	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
284	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
285	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
286	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
287	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
288	C₁₁×C₂²⋊C₄	—	2	4	no	—
289	C₁₁×C₂²⋊C₄	—	2	4	no	—
290	C₁₁×C₂²⋊C₄	—	2	4	no	—
291	C₁₁×C₂²⋊C₄	—	2	2	no	—
292	C₁₁×C₂²⋊C₄	—	2	2	no	—
293	C₁₁×C₂²⋊C₄	—	2	2	no	—
294	C₁₁×C₂²⋊C₄	—	2	2	no	—
295	C₁₁×C₂²⋊C₄	—	2	2	no	—
296	C₁₁×C₂²⋊C₄	—	2	2	no	—
297	C₁₁×C₂²⋊C₄	—	2	2	no	—
298	C₁₁×C₂²⋊C₄	—	2	2	no	—
299	C₁₁×C₂²⋊C₄	—	2	2	no	—
300	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
301	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
302	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
303	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
304	C₄²×C₁₁	—	2	4	no	—
305	C₄²×C₁₁	—	2	2	no	—
306	C₄²×C₁₁	—	2	2	no	—
307	C₄²×C₁₁	—	2	2	no	—
308	C₄²×C₁₁	—	2	2	no	—
309	C₄²×C₁₁	—	2	2	no	—
310	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
311	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
312	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
313	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
314	#3506	C₂×C₁₁	1	1	yes	characteristic
315	C₂×#552	C₂×C₁₁	1	1	yes	characteristic, complemented
316	#3349	C₂×C₁₁	1	4	yes	complemented
317	#3348	C₂×C₁₁	1	4	yes	complemented
318	#3317	C₂×C₁₁	1	4	yes	complemented
319	#3315	C₂×C₁₁	1	4	yes	complemented
320	#3236	C₂×C₁₁	1	1	yes	characteristic, complemented
321	#3234	C₂×C₁₁	1	1	yes	characteristic, complemented
322	#3196	C₂×C₁₁	1	2	yes	complemented
323	#3190	C₂×C₁₁	1	2	yes	complemented
324	#3113	C₂×C₁₁	1	1	yes	characteristic, complemented
325	#3112	C₂×C₁₁	1	1	yes	characteristic, complemented
326	#3092	C₂×C₁₁	1	2	yes	complemented
327	#3091	C₂×C₁₁	1	2	yes	complemented
328	#2973	C₂×C₁₁	1	1	yes	characteristic, complemented
329	C₂³×C₁₁	—	2	2	no	—
330	C₂³×C₁₁	—	2	2	no	—
331	C₂³×C₁₁	—	2	2	no	—
332	C₂³×C₁₁	—	4	1	no	—
333	C₂³×C₁₁	—	4	1	no	—
334	C₂³×C₁₁	—	4	1	no	—
335	C₂³×C₁₁	—	4	1	no	—
336	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
337	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
338	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
339	Q₈×C₁₁	—	2	2	no	—
340	Q₈×C₁₁	—	2	2	no	—
341	Q₈×C₁₁	—	2	4	no	—
342	Q₈×C₁₁	—	4	2	no	—
343	Q₈×C₁₁	—	4	2	no	—
344	Q₈×C₁₁	—	8	1	no	—
345	D₄×C₁₁	—	2	4	no	—
346	D₄×C₁₁	—	4	2	no	—
347	D₄×C₁₁	—	4	2	no	—
348	D₄×C₁₁	—	4	2	no	—
349	D₄×C₁₁	—	4	4	no	—
350	D₄×C₁₁	—	8	1	no	—
351	D₄×C₁₁	—	8	2	no	—
352	D₄×C₁₁	—	8	2	no	—
353	D₄×C₁₁	—	8	2	no	—
354	D₄×C₁₁	—	8	2	no	—
355	C₂×C₄×C₁₁	—	2	2	no	—
356	C₂×C₄×C₁₁	—	2	4	no	—
357	C₂×C₄×C₁₁	—	2	4	no	—
358	C₂×C₄×C₁₁	—	2	2	no	—
359	C₂×C₄×C₁₁	—	2	2	no	—
360	C₂×C₄×C₁₁	—	2	2	no	—
361	C₂×C₄×C₁₁	—	2	2	no	—
362	C₂×C₄×C₁₁	—	2	2	no	—
363	C₂×C₄×C₁₁	—	2	2	no	—
364	C₂×C₄×C₁₁	—	2	2	no	—
365	C₂×C₄×C₁₁	—	2	2	no	—
366	C₂×C₄×C₁₁	—	4	2	no	—
367	C₂×C₄×C₁₁	—	4	2	no	—
368	C₂×C₄×C₁₁	—	4	1	no	—
369	C₂×C₄×C₁₁	—	4	1	no	—
370	C₂×C₄×C₁₁	—	4	1	no	—
371	C₂×C₄×C₁₁	—	4	4	no	—
372	C₂×C₄×C₁₁	—	4	2	no	—
373	C₂×C₄×C₁₁	—	4	8	no	—
374	C₂×C₄×C₁₁	—	4	2	no	—
375	C₂×C₄×C₁₁	—	4	2	no	—
376	C₂×C₄×C₁₁	—	4	2	no	—
377	C₂×C₄×C₁₁	—	8	2	no	—
378	C₂×C₄×C₁₁	—	8	2	no	—
379	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
380	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
381	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
382	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
383	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
384	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
385	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
386	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
387	C₈×C₁₁	—	2	4	no	—
388	C₈×C₁₁	—	2	4	no	—
389	#559	—	2	2	no	—
390	#556	C₂²×C₁₁	1	2	yes	—
391	#555	C₂²×C₁₁	1	2	yes	—
392	#553	—	2	2	no	—
393	#552	—	2	2	no	—
394	#552	—	2	2	no	—
395	#552	C₂²×C₁₁	1	4	yes	—
396	#552	C₂²×C₁₁	1	4	yes	—
397	#550	C₂²×C₁₁	1	2	yes	—
398	#547	C₂²×C₁₁	1	2	yes	—
399	#538	—	2	1	no	—
400	#538	—	2	1	no	—
401	#535	—	2	1	no	—
402	#533	C₂²×C₁₁	1	1	yes	characteristic
403	#532	C₂²×C₁₁	1	1	yes	characteristic
404	C₂×#126	—	2	1	no	—
405	C₂×#125	—	2	1	no	—
406	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic
407	#525	C₂²×C₁₁	1	2	yes	—
408	#525	C₂²×C₁₁	1	2	yes	—
409	C₂×#123	—	2	1	no	—
410	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
411	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
412	#520	—	2	1	no	—
413	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
414	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
415	C₂×#117	—	2	1	no	—
416	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
417	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
418	#501	C₂²×C₁₁	1	2	yes	complemented
419	#501	C₂²×C₁₁	1	2	yes	complemented
420	#491	C₂²×C₁₁	1	2	yes	complemented
421	#490	C₂²×C₁₁	1	2	yes	complemented
422	#485	C₂²×C₁₁	1	4	yes	complemented
423	#485	C₂²×C₁₁	1	4	yes	complemented
424	#485	C₂²×C₁₁	1	4	yes	complemented
425	#484	C₂²×C₁₁	1	2	yes	—
426	#484	C₂²×C₁₁	1	4	yes	complemented
427	#483	C₂²×C₁₁	1	2	yes	—
428	#483	C₂²×C₁₁	1	2	yes	—
429	#482	C₂²×C₁₁	1	4	yes	complemented
430	#481	C₂²×C₁₁	1	2	yes	—
431	#481	C₂²×C₁₁	1	4	yes	complemented
432	#480	C₂²×C₁₁	1	2	yes	—
433	#480	C₂²×C₁₁	1	2	yes	—
434	#479	C₂²×C₁₁	1	4	yes	complemented
435	#478	C₂²×C₁₁	1	4	yes	complemented
436	#477	C₂²×C₁₁	1	2	yes	complemented
437	#475	C₂²×C₁₁	1	2	yes	complemented
438	#470	C₂²×C₁₁	1	4	yes	complemented
439	#468	C₂²×C₁₁	1	4	yes	complemented
440	#467	C₂²×C₁₁	1	4	yes	complemented
441	#465	C₂²×C₁₁	1	4	yes	complemented
442	#462	C₂²×C₁₁	1	2	yes	complemented
443	#460	C₂²×C₁₁	1	2	yes	complemented
444	#452	C₂²×C₁₁	1	4	yes	complemented
445	#452	C₂²×C₁₁	1	4	yes	complemented
446	#451	C₂²×C₁₁	1	2	yes	—
447	#448	C₂²×C₁₁	1	2	yes	—
448	#441	C₂²×C₁₁	1	4	yes	complemented
449	#440	C₂²×C₁₁	1	4	yes	complemented
450	#435	C₂²×C₁₁	1	4	yes	—
451	#435	C₂²×C₁₁	1	4	yes	—
452	#432	C₂²×C₁₁	1	1	yes	characteristic
453	#432	C₂²×C₁₁	1	1	yes	characteristic
454	#428	C₂²×C₁₁	1	4	yes	complemented
455	#427	C₂²×C₁₁	1	4	yes	complemented
456	#417	C₂²×C₁₁	1	4	yes	complemented
457	#416	C₂²×C₁₁	1	4	yes	complemented
458	#407	C₂²×C₁₁	1	2	yes	—
459	C₂×C₂²⋊C₈	C₂²×C₁₁	1	2	yes	—
460	C₂²×C₁₁	—	2	1	no	—
461	C₂²×C₁₁	—	2	1	no	—
462	C₂²×C₁₁	—	2	2	no	—
463	C₂²×C₁₁	—	2	2	no	—
464	C₂²×C₁₁	—	2	2	no	—
465	C₂²×C₁₁	—	2	2	no	—
466	C₂²×C₁₁	—	2	2	no	—
467	C₂²×C₁₁	—	2	2	no	—
468	C₂²×C₁₁	—	4	4	no	—
469	C₂²×C₁₁	—	4	2	no	—
470	C₂²×C₁₁	—	4	2	no	—
471	C₂²×C₁₁	—	4	2	no	—
472	C₂²×C₁₁	—	8	2	no	—
473	C₂²×C₁₁	#575	1	2	yes	—
474	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
475	C₄×C₁₁	—	2	1	no	—
476	C₄×C₁₁	—	2	1	no	—
477	C₄×C₁₁	—	2	1	no	—
478	C₄×C₁₁	—	2	2	no	—
479	C₄×C₁₁	—	2	2	no	—
480	C₄×C₁₁	—	2	1	no	—
481	C₄×C₁₁	—	2	1	no	—
482	C₄×C₁₁	—	4	2	no	—
483	C₄×C₁₁	—	4	2	no	—
484	C₄×C₁₁	—	4	2	no	—
485	C₄×C₁₁	—	4	2	no	—
486	C₄×C₁₁	—	4	2	no	—
487	C₄×C₁₁	—	4	2	no	—
488	C₄×C₁₁	—	4	2	no	—
489	C₄×C₁₁	#585	1	2	yes	—
490	C₂×#41	—	2	1	no	—
491	C₂×#41	C₂³×C₁₁	1	2	yes	—
492	C₂×#41	C₂³×C₁₁	1	2	yes	—
493	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
494	C₂²×D₄	D₄×C₁₁	1	1	yes	characteristic
495	C₂³×C₄	—	2	1	no	—
496	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
497	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
498	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
499	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
500	C₂×M₁₆	C₂³×C₁₁	1	4	yes	—
501	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
502	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
503	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
504	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
505	#127	—	2	2	no	—
506	#127	C₂³×C₁₁	1	1	yes	characteristic
507	#126	—	2	4	no	—
508	#126	—	2	4	no	—
509	#126	—	2	2	no	—
510	#126	—	2	2	no	—
511	#125	—	2	4	no	—
512	#125	—	2	4	no	—
513	#125	—	2	1	no	—
514	#125	—	2	1	no	—
515	#125	—	2	1	no	—
516	#125	C₂³×C₁₁	1	2	yes	—
517	#125	C₂³×C₁₁	1	2	yes	—
518	#124	—	2	2	no	—
519	#124	—	2	2	no	—
520	#124	—	2	2	no	—
521	#124	—	2	1	no	—
522	#123	—	2	4	no	—
523	#123	—	2	4	no	—
524	#123	—	2	2	no	—
525	#123	—	2	2	no	—
526	#123	—	2	2	no	—
527	#123	—	2	2	no	—
528	C₂²⋊Q₈	—	2	2	no	—
529	C₂²⋊Q₈	—	2	2	no	—
530	C₂²⋊Q₈	—	2	1	no	—
531	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
532	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
533	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
534	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
535	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
536	#121	—	2	2	no	—
537	#121	—	2	2	no	—
538	#121	—	2	1	no	—
539	#121	—	2	2	no	—
540	#121	—	2	2	no	—
541	#121	C₂³×C₁₁	1	2	yes	—
542	#121	C₂³×C₁₁	1	2	yes	—
543	#121	C₂³×C₁₁	1	2	yes	—
544	#120	—	2	2	no	—
545	#120	—	2	2	no	—
546	C₄×Q₈	—	2	2	no	—
547	C₄×Q₈	—	2	1	no	—
548	C₄×Q₈	—	2	1	no	—
549	C₄×Q₈	—	2	1	no	—
550	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
551	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
552	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
553	C₄×D₄	—	2	2	no	—
554	C₄×D₄	—	2	2	no	—
555	C₄×D₄	—	2	2	no	—
556	C₄×D₄	—	2	2	no	—
557	C₄×D₄	—	2	2	no	—
558	C₄×D₄	—	2	1	no	—
559	C₄×D₄	D₄×C₁₁	1	2	yes	—
560	C₄×D₄	D₄×C₁₁	1	2	yes	—
561	C₄×D₄	C₂³×C₁₁	1	2	yes	—
562	C₄×D₄	C₂³×C₁₁	1	2	yes	—
563	C₄×D₄	C₂³×C₁₁	1	2	yes	—
564	#117	—	2	2	no	—
565	#117	—	2	1	no	—
566	#117	—	2	2	no	—
567	#117	—	2	4	no	—
568	#117	—	2	4	no	—
569	#117	C₂³×C₁₁	1	4	yes	—
570	#117	C₂³×C₁₁	1	2	yes	—
571	#117	C₂³×C₁₁	1	2	yes	—
572	C₂×C₄⋊C₄	—	2	1	no	—
573	C₂×C₄⋊C₄	—	2	2	no	—
574	C₂×C₄⋊C₄	—	2	1	no	—
575	C₂×C₄⋊C₄	—	2	1	no	—
576	C₂×C₄⋊C₄	—	2	1	no	—
577	C₂×C₄⋊C₄	—	2	1	no	—
578	C₂×C₄⋊C₄	—	2	1	no	—
579	C₂×C₄⋊C₄	—	2	2	no	—
580	C₂×C₄⋊C₄	D₄×C₁₁	1	1	yes	characteristic
581	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
582	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
583	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
584	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
585	C₂×C₂²⋊C₄	—	2	1	no	—
586	C₂×C₂²⋊C₄	—	2	1	no	—
587	C₂×C₂²⋊C₄	—	2	1	no	—
588	C₂×C₂²⋊C₄	D₄×C₁₁	1	1	yes	characteristic
589	C₂×C₂²⋊C₄	D₄×C₁₁	1	1	yes	characteristic
590	C₂×C₄²	—	2	1	no	—
591	C₂×C₄²	—	2	1	no	—
592	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
593	#107	C₂³×C₁₁	1	4	yes	—
594	#107	C₂³×C₁₁	1	4	yes	—
595	#107	C₂³×C₁₁	1	4	yes	—
596	#106	C₂³×C₁₁	1	4	yes	—
597	#106	C₂³×C₁₁	1	4	yes	—
598	#106	C₂³×C₁₁	1	4	yes	—
599	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
600	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
601	#103	C₂³×C₁₁	1	4	yes	—
602	#103	C₂³×C₁₁	1	4	yes	—
603	#103	C₂³×C₁₁	1	4	yes	—
604	#103	C₂³×C₁₁	1	4	yes	—
605	#103	C₂³×C₁₁	1	4	yes	—
606	#102	C₂³×C₁₁	1	4	yes	—
607	#102	C₂³×C₁₁	1	4	yes	—
608	#102	C₂³×C₁₁	1	4	yes	—
609	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
610	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
611	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
612	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
613	#97	C₂³×C₁₁	1	2	yes	—
614	#97	C₂³×C₁₁	1	2	yes	—
615	C₂×C₁₁	—	2	2	no	—
616	C₂×C₁₁	—	4	2	no	—
617	C₂×C₁₁	—	4	2	no	—
618	C₂×C₁₁	—	8	2	no	—
619	C₂×C₁₁	#3485	1	1	yes	characteristic
620	C₂×C₁₁	C₂×#575	1	1	yes	characteristic
621	C₂×C₁₁	#3586	1	1	yes	characteristic
622	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
623	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
624	#41	—	4	4	no	—
625	#41	—	4	4	no	—
626	#41	—	4	4	no	—
627	C₂×Q₈	—	2	1	no	—
628	C₂×Q₈	—	2	1	no	—
629	C₂×Q₈	—	2	1	no	—
630	C₂×Q₈	—	4	2	no	—
631	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
632	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
633	C₂×D₄	—	2	2	no	—
634	C₂×D₄	—	2	2	no	—
635	C₂×D₄	—	2	2	no	—
636	C₂×D₄	—	2	2	no	—
637	C₂×D₄	—	2	2	no	—
638	C₂×D₄	—	2	1	no	—
639	C₂×D₄	—	2	1	no	—
640	C₂×D₄	—	4	2	no	—
641	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
642	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
643	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
644	C₂²×C₄	—	2	1	no	—
645	C₂²×C₄	—	2	1	no	—
646	C₂²×C₄	—	2	1	no	—
647	C₂²×C₄	—	2	1	no	—
648	C₂²×C₄	—	2	4	no	—
649	C₂²×C₄	—	2	2	no	—
650	C₂²×C₄	—	2	2	no	—
651	C₂²×C₄	—	2	2	no	—
652	C₂²×C₄	—	4	2	no	—
653	C₂²×C₄	—	4	2	no	—
654	C₂²×C₄	—	4	4	no	—
655	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
656	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
657	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
658	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
659	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
660	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
661	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
662	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
663	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
664	Q₁₆	—	4	4	no	—
665	SD₁₆	—	4	4	no	—
666	M₁₆	—	4	4	no	—
667	C₂×C₈	—	4	4	no	—
668	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
669	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
670	C₄⋊C₄	—	2	1	no	—
671	C₄⋊C₄	—	2	1	no	—
672	C₄⋊C₄	—	2	4	no	—
673	C₄⋊C₄	—	2	1	no	—
674	C₄⋊C₄	—	2	4	no	—
675	C₄⋊C₄	—	2	2	no	—
676	C₄⋊C₄	—	2	2	no	—
677	C₄⋊C₄	—	2	2	no	—
678	C₄⋊C₄	—	2	2	no	—
679	C₄⋊C₄	—	2	2	no	—
680	C₄⋊C₄	—	2	2	no	—
681	C₄⋊C₄	—	2	4	no	—
682	C₄⋊C₄	—	2	2	no	—
683	C₄⋊C₄	—	2	2	no	—
684	C₄⋊C₄	—	2	1	no	—
685	C₄⋊C₄	—	2	1	no	—
686	C₄⋊C₄	—	2	2	no	—
687	C₄⋊C₄	—	2	1	no	—
688	C₄⋊C₄	—	2	1	no	—
689	C₄⋊C₄	—	2	2	no	—
690	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
691	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
692	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
693	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
694	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
695	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
696	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
697	C₂²⋊C₄	—	2	4	no	—
698	C₂²⋊C₄	—	2	4	no	—
699	C₂²⋊C₄	—	2	4	no	—
700	C₂²⋊C₄	—	2	2	no	—
701	C₂²⋊C₄	—	2	2	no	—
702	C₂²⋊C₄	—	2	2	no	—
703	C₂²⋊C₄	—	2	2	no	—
704	C₂²⋊C₄	—	2	2	no	—
705	C₂²⋊C₄	—	2	2	no	—
706	C₂²⋊C₄	—	2	2	no	—
707	C₂²⋊C₄	—	2	2	no	—
708	C₂²⋊C₄	—	2	2	no	—
709	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
710	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
711	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
712	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
713	C₄²	—	2	4	no	—
714	C₄²	—	2	2	no	—
715	C₄²	—	2	2	no	—
716	C₄²	—	2	2	no	—
717	C₄²	—	2	2	no	—
718	C₄²	—	2	2	no	—
719	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
720	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
721	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
722	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
723	C₁₁	#61711	1	1	yes	characteristic, direct product factor, Sylow
724	C₂³	—	2	2	no	—
725	C₂³	—	2	2	no	—
726	C₂³	—	2	2	no	—
727	C₂³	—	4	1	no	—
728	C₂³	—	4	1	no	—
729	C₂³	—	4	1	no	—
730	C₂³	—	4	1	no	—
731	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
732	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
733	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
734	Q₈	—	2	2	no	—
735	Q₈	—	2	2	no	—
736	Q₈	—	2	4	no	—
737	Q₈	—	4	2	no	—
738	Q₈	—	4	2	no	—
739	Q₈	—	8	1	no	—
740	D₄	—	2	4	no	—
741	D₄	—	4	2	no	—
742	D₄	—	4	2	no	—
743	D₄	—	4	2	no	—
744	D₄	—	4	4	no	—
745	D₄	—	8	1	no	—
746	D₄	—	8	2	no	—
747	D₄	—	8	2	no	—
748	D₄	—	8	2	no	—
749	D₄	—	8	2	no	—
750	C₂×C₄	—	2	2	no	—
751	C₂×C₄	—	2	4	no	—
752	C₂×C₄	—	2	4	no	—
753	C₂×C₄	—	2	2	no	—
754	C₂×C₄	—	2	2	no	—
755	C₂×C₄	—	2	2	no	—
756	C₂×C₄	—	2	2	no	—
757	C₂×C₄	—	2	2	no	—
758	C₂×C₄	—	2	2	no	—
759	C₂×C₄	—	2	2	no	—
760	C₂×C₄	—	2	2	no	—
761	C₂×C₄	—	4	2	no	—
762	C₂×C₄	—	4	2	no	—
763	C₂×C₄	—	4	1	no	—
764	C₂×C₄	—	4	1	no	—
765	C₂×C₄	—	4	1	no	—
766	C₂×C₄	—	4	4	no	—
767	C₂×C₄	—	4	2	no	—
768	C₂×C₄	—	4	8	no	—
769	C₂×C₄	—	4	2	no	—
770	C₂×C₄	—	4	2	no	—
771	C₂×C₄	—	4	2	no	—
772	C₂×C₄	—	8	2	no	—
773	C₂×C₄	—	8	2	no	—
774	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
775	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
776	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
777	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
778	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
779	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
780	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
781	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
782	C₈	—	2	4	no	—
783	C₈	—	2	4	no	—
784	C₂²	—	2	1	no	—
785	C₂²	—	2	1	no	—
786	C₂²	—	2	2	no	—
787	C₂²	—	2	2	no	—
788	C₂²	—	2	2	no	—
789	C₂²	—	2	2	no	—
790	C₂²	—	2	2	no	—
791	C₂²	—	2	2	no	—
792	C₂²	—	4	4	no	—
793	C₂²	—	4	2	no	—
794	C₂²	—	4	2	no	—
795	C₂²	—	4	2	no	—
796	C₂²	—	8	2	no	—
797	C₂²	C₁₁×#575	1	2	yes	—
798	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
799	C₄	—	2	1	no	—
800	C₄	—	2	2	no	—
801	C₄	—	2	2	no	—
802	C₄	—	2	1	no	—
803	C₄	—	2	1	no	—
804	C₄	—	2	1	no	—
805	C₄	—	2	1	no	—
806	C₄	—	4	2	no	—
807	C₄	—	4	2	no	—
808	C₄	—	4	2	no	—
809	C₄	—	4	2	no	—
810	C₄	—	4	2	no	—
811	C₄	—	4	2	no	—
812	C₄	—	4	2	no	—
813	C₄	C₁₁×#585	1	2	yes	—
814	C₂	—	2	2	no	—
815	C₂	—	4	2	no	—
816	C₂	—	4	2	no	—
817	C₂	—	8	2	no	—
818	C₂	C₁₁×#3485	1	1	yes	characteristic
819	C₂	C₂×C₁₁×#575	1	1	yes	characteristic
820	C₂	C₁₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
prime radical	C₁₁×#3506	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₂×C₄×D₄×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₁×#552	C₂	semidirect
3. C₁₁×#3349	C₂	semidirect
4. C₁₁×#3348	C₂	semidirect
5. C₁₁×#3317	C₂	semidirect
6. C₁₁×#3315	C₂	semidirect
7. C₁₁×#3236	C₂	semidirect
8. C₁₁×#3234	C₂	semidirect
9. C₁₁×#3196	C₂	semidirect
10. C₁₁×#3190	C₂	semidirect
11. C₁₁×#3113	C₂	semidirect
12. C₁₁×#3112	C₂	semidirect
13. C₁₁×#3092	C₂	semidirect
14. C₁₁×#3091	C₂	semidirect
15. C₁₁×#2973	C₂	semidirect
45. C₁₁×#501	C₂²	semidirect
46. C₁₁×#501	C₂²	semidirect
47. C₁₁×#491	C₂²	semidirect
48. C₁₁×#490	C₂²	semidirect
49. C₁₁×#485	C₂²	semidirect
50. C₁₁×#485	C₂²	semidirect
51. C₁₁×#485	C₂²	semidirect
53. C₁₁×#484	C₂²	semidirect
56. C₁₁×#482	C₂²	semidirect
58. C₁₁×#481	C₂²	semidirect
61. C₁₁×#479	C₂²	semidirect
62. C₁₁×#478	C₂²	semidirect
63. C₁₁×#477	C₂²	semidirect
64. C₁₁×#475	C₂²	semidirect
65. C₁₁×#470	C₂²	semidirect
66. C₁₁×#468	C₂²	semidirect
67. C₁₁×#467	C₂²	semidirect
68. C₁₁×#465	C₂²	semidirect
69. C₁₁×#462	C₂²	semidirect
70. C₁₁×#460	C₂²	semidirect
71. C₁₁×#452	C₂²	semidirect
72. C₁₁×#452	C₂²	semidirect
75. C₁₁×#441	C₂²	semidirect
76. C₁₁×#440	C₂²	semidirect
81. C₁₁×#428	C₂²	semidirect
82. C₁₁×#427	C₂²	semidirect
83. C₁₁×#417	C₂²	semidirect
84. C₁₁×#416	C₂²	semidirect
212. #61711	C₁₁	direct (N × H)
315. C₂×#552	C₂×C₁₁	semidirect
316. #3349	C₂×C₁₁	semidirect
317. #3348	C₂×C₁₁	semidirect
318. #3317	C₂×C₁₁	semidirect
319. #3315	C₂×C₁₁	semidirect
320. #3236	C₂×C₁₁	semidirect
321. #3234	C₂×C₁₁	semidirect
322. #3196	C₂×C₁₁	semidirect
323. #3190	C₂×C₁₁	semidirect
324. #3113	C₂×C₁₁	semidirect
325. #3112	C₂×C₁₁	semidirect
326. #3092	C₂×C₁₁	semidirect
327. #3091	C₂×C₁₁	semidirect
328. #2973	C₂×C₁₁	semidirect
418. #501	C₂²×C₁₁	semidirect
419. #501	C₂²×C₁₁	semidirect
420. #491	C₂²×C₁₁	semidirect
421. #490	C₂²×C₁₁	semidirect
422. #485	C₂²×C₁₁	semidirect
423. #485	C₂²×C₁₁	semidirect
424. #485	C₂²×C₁₁	semidirect
426. #484	C₂²×C₁₁	semidirect
429. #482	C₂²×C₁₁	semidirect
431. #481	C₂²×C₁₁	semidirect
434. #479	C₂²×C₁₁	semidirect
435. #478	C₂²×C₁₁	semidirect
436. #477	C₂²×C₁₁	semidirect
437. #475	C₂²×C₁₁	semidirect
438. #470	C₂²×C₁₁	semidirect
439. #468	C₂²×C₁₁	semidirect
440. #467	C₂²×C₁₁	semidirect
441. #465	C₂²×C₁₁	semidirect
442. #462	C₂²×C₁₁	semidirect
443. #460	C₂²×C₁₁	semidirect
444. #452	C₂²×C₁₁	semidirect
445. #452	C₂²×C₁₁	semidirect
448. #441	C₂²×C₁₁	semidirect
449. #440	C₂²×C₁₁	semidirect
454. #428	C₂²×C₁₁	semidirect
455. #427	C₂²×C₁₁	semidirect
456. #417	C₂²×C₁₁	semidirect
457. #416	C₂²×C₁₁	semidirect
723. C₁₁	#61711	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×#3506	2
C₂×C₁₁×#552	2
C₁₁×#3349	2
C₁₁×#3348	2
C₁₁×#3317	2
C₁₁×#3315	2
C₁₁×#3236	2
C₁₁×#3234	2
C₁₁×#3196	2
C₁₁×#3190	2
C₁₁×#3113	2
C₁₁×#3112	2
C₁₁×#3092	2
C₁₁×#3091	2
C₁₁×#2973	2
#61711	11

Subgroups — C11×#61711 #14638904

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61711 #14638904