Subgroups — C₁₁×#60591 #14637784

Order 2816.

2074 conjugacy classes of subgroups.

The subgroup lattice has 910 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3509	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×C₁₁×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic
3	C₁₁×#3123	C₂	1	4	yes	maximal, complemented
4	C₁₁×#3120	C₂	1	4	yes	maximal, complemented
5	C₁₁×#3116	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3110	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3107	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3101	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3097	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3077	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#3076	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#3039	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₁₁×#461	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3009	C₂	1	2	yes	maximal
15	C₁₁×#2949	C₂	1	2	yes	maximal, complemented
16	C₁₁×#2947	C₂	1	2	yes	maximal, complemented
17	C₁₁×#2925	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₁×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
19	C₂×C₁₁×#137	C₂²	1	2	yes	—
20	C₂²×C₁₁×SD₁₆	C₂²	1	2	yes	—
21	C₁₁×#557	—	2	1	no	—
22	C₁₁×#557	—	2	1	no	—
23	C₁₁×#556	—	2	1	no	—
24	C₁₁×#556	—	2	1	no	—
25	C₁₁×#552	—	2	2	no	—
26	C₁₁×#552	—	2	2	no	—
27	C₁₁×#541	C₂²	1	4	yes	complemented
28	C₁₁×#536	C₂²	1	2	yes	—
29	C₁₁×#533	C₂²	1	2	yes	complemented
30	C₁₁×#533	C₂²	1	2	yes	complemented
31	C₁₁×#533	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₁₁×#520	—	2	1	no	—
34	C₁₁×#520	C₂²	1	1	yes	characteristic
35	C₁₁×#520	C₂²	1	2	yes	—
36	C₁₁×#520	C₂²	1	1	yes	characteristic
37	C₁₁×#519	C₂²	1	2	yes	complemented
38	C₁₁×#518	—	2	2	no	—
39	C₁₁×#518	—	2	1	no	—
40	C₁₁×#518	C₂²	1	1	yes	characteristic
41	C₁₁×#518	C₂²	1	2	yes	—
42	C₄×C₁₁×#41	—	2	1	no	—
43	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
44	C₄×C₁₁×#41	C₂²	1	2	yes	—
45	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₁	—	2	2	no	—
47	C₂×C₄×D₄×C₁₁	—	2	1	no	—
48	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
50	C₁₁×#485	C₂²	1	4	yes	complemented
51	C₁₁×#485	C₂²	1	4	yes	complemented
52	C₁₁×#484	C₂²	1	4	yes	complemented
53	C₁₁×#483	C₂²	1	4	yes	complemented
54	C₁₁×#479	C₂²	1	2	yes	complemented
55	C₁₁×#478	C₂²	1	2	yes	complemented
56	C₁₁×#478	C₂²	1	4	yes	complemented
57	C₁₁×#477	C₂²	1	1	yes	characteristic, complemented
58	C₁₁×#476	C₂²	1	1	yes	characteristic, complemented
59	C₁₁×#476	C₂²	1	2	yes	complemented
60	C₁₁×#475	C₂²	1	1	yes	characteristic, complemented
61	C₁₁×#474	C₂²	1	1	yes	characteristic, complemented
62	C₁₁×#474	C₂²	1	2	yes	complemented
63	C₁₁×#462	C₂²	1	2	yes	complemented
64	C₁₁×#462	C₂²	1	2	yes	complemented
65	C₁₁×#461	C₂²	1	2	yes	complemented
66	C₁₁×#461	C₂²	1	2	yes	complemented
67	C₁₁×#461	C₂²	1	4	yes	complemented
68	C₁₁×#461	C₂²	1	2	yes	complemented
69	C₁₁×#461	C₂²	1	2	yes	complemented
70	C₁₁×#452	C₂²	1	4	yes	—
71	C₁₁×#452	C₂²	1	4	yes	—
72	C₁₁×#450	C₂²	1	4	yes	—
73	C₁₁×#450	C₂²	1	4	yes	—
74	C₁₁×#441	C₂²	1	4	yes	complemented
75	C₁₁×#440	C₂²	1	4	yes	complemented
76	C₁₁×#440	C₂²	1	4	yes	complemented
77	C₁₁×#440	C₂²	1	4	yes	complemented
78	C₄×C₁₁×Q₁₆	C₂²	1	4	yes	complemented
79	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
80	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
81	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
82	C₁₁×#433	C₂²	1	4	yes	complemented
83	C₁₁×#432	C₂²	1	2	yes	complemented
84	C₁₁×#431	C₂²	1	2	yes	complemented
85	C₁₁×#428	C₂²	1	2	yes	complemented
86	C₁₁×#427	C₂²	1	2	yes	complemented
87	C₁₁×#423	C₂²	1	1	yes	characteristic, complemented
88	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
89	C₁₁×#419	C₂²	1	2	yes	complemented
90	C₁₁×#418	C₂²	1	2	yes	—
91	C₁₁×#416	C₂²	1	2	yes	—
92	C₂×C₁₁×#103	C₂²	1	2	yes	complemented
93	C₁₁×#408	C₂²	1	2	yes	—
94	C₁₁×#405	C₂²	1	2	yes	complemented
95	C₁₁×H(5,𝔽₂)	—	2	4	no	—
96	C₁₁×H(5,𝔽₂)	—	2	4	no	—
97	C₂×C₁₁×#41	—	2	1	no	—
98	C₂×C₁₁×#41	C₂³	1	2	yes	—
99	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
100	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
101	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
102	C₂²×D₄×C₁₁	—	2	2	no	—
103	C₂²×D₄×C₁₁	—	2	1	no	—
104	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
105	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
106	C₂³×C₄×C₁₁	—	2	1	no	—
107	C₂³×C₄×C₁₁	—	2	2	no	—
108	C₁₁×#137	—	2	8	no	—
109	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
110	C₂×C₁₁×SD₁₆	—	2	8	no	—
111	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
112	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
113	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
114	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
115	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
116	C₁₁×C₄⋊Q₈	—	2	2	no	—
117	C₁₁×C₄⋊Q₈	—	2	1	no	—
118	C₁₁×C₄⋊Q₈	—	2	1	no	—
119	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
120	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
121	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
122	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
123	C₁₁×#126	—	2	4	no	—
124	C₁₁×#126	—	2	4	no	—
125	C₁₁×#125	—	2	4	no	—
126	C₁₁×#125	—	2	4	no	—
127	C₁₁×#125	—	2	2	no	—
128	C₁₁×#125	—	2	2	no	—
129	C₁₁×#125	C₂³	1	2	yes	—
130	C₁₁×#124	—	2	2	no	—
131	C₁₁×#123	—	2	4	no	—
132	C₁₁×C₂²⋊Q₈	—	2	1	no	—
133	C₁₁×C₂²⋊Q₈	—	2	1	no	—
134	C₁₁×C₂²⋊Q₈	—	2	2	no	—
135	C₁₁×C₂²⋊Q₈	—	2	2	no	—
136	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
137	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
138	C₄×Q₈×C₁₁	—	2	1	no	—
139	C₄×Q₈×C₁₁	—	2	2	no	—
140	C₄×Q₈×C₁₁	—	2	2	no	—
141	C₄×Q₈×C₁₁	—	2	2	no	—
142	C₄×Q₈×C₁₁	—	2	2	no	—
143	C₄×Q₈×C₁₁	—	2	1	no	—
144	C₄×Q₈×C₁₁	—	2	1	no	—
145	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
146	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
147	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
148	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
149	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
150	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
151	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
152	C₄×D₄×C₁₁	—	2	2	no	—
153	C₄×D₄×C₁₁	—	2	1	no	—
154	C₄×D₄×C₁₁	—	2	1	no	—
155	C₄×D₄×C₁₁	—	2	2	no	—
156	C₄×D₄×C₁₁	—	2	1	no	—
157	C₄×D₄×C₁₁	—	2	2	no	—
158	C₄×D₄×C₁₁	—	2	1	no	—
159	C₄×D₄×C₁₁	—	2	2	no	—
160	C₄×D₄×C₁₁	—	2	1	no	—
161	C₄×D₄×C₁₁	—	2	2	no	—
162	C₄×D₄×C₁₁	—	2	2	no	—
163	C₄×D₄×C₁₁	—	2	2	no	—
164	C₄×D₄×C₁₁	—	2	2	no	—
165	C₄×D₄×C₁₁	—	2	2	no	—
166	C₄×D₄×C₁₁	—	2	1	no	—
167	C₄×D₄×C₁₁	—	2	2	no	—
168	C₄×D₄×C₁₁	—	2	1	no	—
169	C₄×D₄×C₁₁	D₄	1	2	yes	—
170	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
171	C₄×D₄×C₁₁	D₄	1	2	yes	—
172	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
173	C₄×D₄×C₁₁	C₂³	1	2	yes	—
174	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
175	C₄×D₄×C₁₁	C₂³	1	2	yes	—
176	C₄×D₄×C₁₁	C₂³	1	2	yes	—
177	C₄×D₄×C₁₁	C₂³	1	2	yes	—
178	C₄×D₄×C₁₁	C₂³	1	2	yes	—
179	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
180	C₁₁×#117	—	2	2	no	—
181	C₁₁×#117	—	2	2	no	—
182	C₁₁×#117	—	2	1	no	—
183	C₁₁×#117	—	2	2	no	—
184	C₁₁×#117	—	2	4	no	—
185	C₁₁×#117	—	2	2	no	—
186	C₁₁×#117	—	2	1	no	—
187	C₁₁×#117	C₂³	1	1	yes	characteristic
188	C₁₁×#117	C₂³	1	2	yes	—
189	C₁₁×#117	C₂³	1	2	yes	—
190	C₁₁×#117	C₂³	1	1	yes	characteristic
191	C₁₁×#117	C₂³	1	2	yes	—
192	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
193	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
194	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
195	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
196	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
198	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
199	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
200	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
201	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
202	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
203	C₂×C₄²×C₁₁	—	2	2	no	—
204	C₂×C₄²×C₁₁	—	2	1	no	—
205	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
207	C₁₁×#107	C₂³	1	2	yes	—
208	C₁₁×#107	C₂³	1	2	yes	—
209	C₁₁×#107	C₂³	1	4	yes	—
210	C₁₁×#106	C₂³	1	2	yes	—
211	C₁₁×#106	C₂³	1	2	yes	—
212	C₁₁×#106	C₂³	1	4	yes	—
213	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
214	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
215	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
216	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
217	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
218	C₁₁×#103	C₂³	1	4	yes	—
219	C₁₁×#103	C₂³	1	4	yes	—
220	C₁₁×#103	C₂³	1	2	yes	—
221	C₁₁×#103	C₂³	1	2	yes	—
222	C₁₁×#103	C₂³	1	4	yes	—
223	C₁₁×#103	C₂³	1	4	yes	—
224	C₁₁×#102	C₂³	1	2	yes	—
225	C₁₁×#102	C₂³	1	2	yes	—
226	C₁₁×#102	C₂³	1	4	yes	—
227	C₁₁×#102	C₂³	1	4	yes	—
228	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
229	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
230	C₁₁×#97	C₂³	1	4	yes	—
231	C₄×C₈×C₁₁	C₂³	1	4	yes	—
232	#60591	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
233	C₂⁴×C₁₁	—	2	2	no	—
234	C₂⁴×C₁₁	—	2	1	no	—
235	C₁₁×#41	—	2	8	no	—
236	C₁₁×#41	—	2	4	no	—
237	C₁₁×#41	—	2	4	no	—
238	C₁₁×#41	—	2	2	no	—
239	C₁₁×#41	—	2	2	no	—
240	C₁₁×#41	—	2	2	no	—
241	C₁₁×#41	#41	1	4	yes	—
242	C₂×Q₈×C₁₁	—	2	1	no	—
243	C₂×Q₈×C₁₁	—	2	1	no	—
244	C₂×Q₈×C₁₁	—	2	2	no	—
245	C₂×Q₈×C₁₁	—	2	4	no	—
246	C₂×Q₈×C₁₁	—	2	4	no	—
247	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
248	C₂×Q₈×C₁₁	C₂⁴	1	4	yes	—
249	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
250	C₂×D₄×C₁₁	—	2	16	no	—
251	C₂×D₄×C₁₁	—	2	8	no	—
252	C₂×D₄×C₁₁	—	2	2	no	—
253	C₂×D₄×C₁₁	—	2	1	no	—
254	C₂×D₄×C₁₁	—	2	4	no	—
255	C₂×D₄×C₁₁	—	2	4	no	—
256	C₂×D₄×C₁₁	—	2	2	no	—
257	C₂×D₄×C₁₁	—	2	1	no	—
258	C₂×D₄×C₁₁	—	2	2	no	—
259	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
260	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
261	C₂×D₄×C₁₁	#41	1	4	yes	—
262	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
263	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
264	C₂²×C₄×C₁₁	—	2	2	no	—
265	C₂²×C₄×C₁₁	—	2	1	no	—
266	C₂²×C₄×C₁₁	—	2	2	no	—
267	C₂²×C₄×C₁₁	—	2	2	no	—
268	C₂²×C₄×C₁₁	—	2	1	no	—
269	C₂²×C₄×C₁₁	—	2	2	no	—
270	C₂²×C₄×C₁₁	—	2	1	no	—
271	C₂²×C₄×C₁₁	—	2	2	no	—
272	C₂²×C₄×C₁₁	—	2	1	no	—
273	C₂²×C₄×C₁₁	—	2	2	no	—
274	C₂²×C₄×C₁₁	—	2	2	no	—
275	C₂²×C₄×C₁₁	—	2	2	no	—
276	C₂²×C₄×C₁₁	—	8	2	no	—
277	C₂²×C₄×C₁₁	—	8	4	no	—
278	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
279	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
280	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
281	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
282	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
283	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
284	C₁₁×Q₁₆	—	2	8	no	—
285	C₁₁×SD₁₆	—	2	8	no	—
286	C₁₁×SD₁₆	—	2	8	no	—
287	C₁₁×SD₁₆	—	2	8	no	—
288	C₁₁×M₁₆	—	2	4	no	—
289	C₂×C₈×C₁₁	—	2	4	no	—
290	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
291	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
292	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
293	C₁₁×C₄⋊C₄	—	2	2	no	—
294	C₁₁×C₄⋊C₄	—	2	1	no	—
295	C₁₁×C₄⋊C₄	—	2	2	no	—
296	C₁₁×C₄⋊C₄	—	2	1	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	—	2	2	no	—
301	C₁₁×C₄⋊C₄	—	2	1	no	—
302	C₁₁×C₄⋊C₄	—	2	1	no	—
303	C₁₁×C₄⋊C₄	—	2	1	no	—
304	C₁₁×C₄⋊C₄	—	2	4	no	—
305	C₁₁×C₄⋊C₄	—	2	4	no	—
306	C₁₁×C₄⋊C₄	—	2	2	no	—
307	C₁₁×C₄⋊C₄	—	2	2	no	—
308	C₁₁×C₄⋊C₄	—	2	4	no	—
309	C₁₁×C₄⋊C₄	—	2	4	no	—
310	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
311	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
312	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
313	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
314	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
315	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
316	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
317	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
318	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
319	C₁₁×C₂²⋊C₄	—	2	2	no	—
320	C₁₁×C₂²⋊C₄	—	2	1	no	—
321	C₁₁×C₂²⋊C₄	—	2	2	no	—
322	C₁₁×C₂²⋊C₄	—	2	4	no	—
323	C₁₁×C₂²⋊C₄	—	2	4	no	—
324	C₁₁×C₂²⋊C₄	—	2	2	no	—
325	C₁₁×C₂²⋊C₄	—	2	1	no	—
326	C₁₁×C₂²⋊C₄	—	2	2	no	—
327	C₁₁×C₂²⋊C₄	—	2	2	no	—
328	C₁₁×C₂²⋊C₄	—	2	2	no	—
329	C₁₁×C₂²⋊C₄	—	2	2	no	—
330	C₁₁×C₂²⋊C₄	—	2	1	no	—
331	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
332	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
333	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
334	C₄²×C₁₁	—	2	1	no	—
335	C₄²×C₁₁	—	2	2	no	—
336	C₄²×C₁₁	—	2	1	no	—
337	C₄²×C₁₁	—	2	2	no	—
338	C₄²×C₁₁	—	2	1	no	—
339	C₄²×C₁₁	—	2	4	no	—
340	C₄²×C₁₁	—	2	4	no	—
341	C₄²×C₁₁	—	2	2	no	—
342	C₄²×C₁₁	C₂×D₄	1	2	yes	—
343	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
344	C₄²×C₁₁	C₂×D₄	1	2	yes	—
345	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
346	C₄²×C₁₁	C₂⁴	1	2	yes	—
347	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
348	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
349	#3509	C₂×C₁₁	1	1	yes	characteristic, complemented
350	C₄×H(5,𝔽₂)	C₂×C₁₁	1	1	yes	characteristic
351	#3123	C₂×C₁₁	1	4	yes	complemented
352	#3120	C₂×C₁₁	1	4	yes	complemented
353	#3116	C₂×C₁₁	1	2	yes	complemented
354	#3110	C₂×C₁₁	1	2	yes	complemented
355	#3107	C₂×C₁₁	1	2	yes	complemented
356	#3101	C₂×C₁₁	1	2	yes	complemented
357	#3097	C₂×C₁₁	1	2	yes	complemented
358	#3077	C₂×C₁₁	1	1	yes	characteristic, complemented
359	#3076	C₂×C₁₁	1	1	yes	characteristic, complemented
360	#3039	C₂×C₁₁	1	1	yes	characteristic, complemented
361	C₂×#461	C₂×C₁₁	1	1	yes	characteristic, complemented
362	#3009	C₂×C₁₁	1	2	yes	—
363	#2949	C₂×C₁₁	1	2	yes	complemented
364	#2947	C₂×C₁₁	1	2	yes	complemented
365	#2925	C₂×C₁₁	1	1	yes	characteristic, complemented
366	C₂³×C₁₁	—	2	8	no	—
367	C₂³×C₁₁	—	2	2	no	—
368	C₂³×C₁₁	—	2	1	no	—
369	C₂³×C₁₁	—	2	4	no	—
370	C₂³×C₁₁	—	8	1	no	—
371	C₂³×C₁₁	—	8	2	no	—
372	C₂³×C₁₁	—	8	1	no	—
373	C₂³×C₁₁	—	8	2	no	—
374	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
375	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
376	Q₈×C₁₁	—	2	2	no	—
377	Q₈×C₁₁	—	2	1	no	—
378	Q₈×C₁₁	—	2	4	no	—
379	Q₈×C₁₁	—	2	4	no	—
380	Q₈×C₁₁	—	4	2	no	—
381	Q₈×C₁₁	—	4	4	no	—
382	Q₈×C₁₁	—	4	2	no	—
383	Q₈×C₁₁	C₂×#41	1	2	yes	—
384	D₄×C₁₁	—	2	8	no	—
385	D₄×C₁₁	—	2	8	no	—
386	D₄×C₁₁	—	2	4	no	—
387	D₄×C₁₁	—	2	4	no	—
388	D₄×C₁₁	—	2	2	no	—
389	D₄×C₁₁	—	2	4	no	—
390	D₄×C₁₁	—	2	2	no	—
391	D₄×C₁₁	—	2	1	no	—
392	D₄×C₁₁	C₂×#41	1	2	yes	—
393	D₄×C₁₁	C₂×#41	1	4	yes	—
394	C₂×C₄×C₁₁	—	2	8	no	—
395	C₂×C₄×C₁₁	—	2	1	no	—
396	C₂×C₄×C₁₁	—	2	4	no	—
397	C₂×C₄×C₁₁	—	2	2	no	—
398	C₂×C₄×C₁₁	—	2	4	no	—
399	C₂×C₄×C₁₁	—	2	2	no	—
400	C₂×C₄×C₁₁	—	2	2	no	—
401	C₂×C₄×C₁₁	—	2	1	no	—
402	C₂×C₄×C₁₁	—	2	2	no	—
403	C₂×C₄×C₁₁	—	2	2	no	—
404	C₂×C₄×C₁₁	—	2	2	no	—
405	C₂×C₄×C₁₁	—	2	1	no	—
406	C₂×C₄×C₁₁	—	2	4	no	—
407	C₂×C₄×C₁₁	—	4	1	no	—
408	C₂×C₄×C₁₁	—	4	2	no	—
409	C₂×C₄×C₁₁	—	4	4	no	—
410	C₂×C₄×C₁₁	—	4	4	no	—
411	C₂×C₄×C₁₁	—	4	2	no	—
412	C₂×C₄×C₁₁	—	8	2	no	—
413	C₂×C₄×C₁₁	—	8	1	no	—
414	C₂×C₄×C₁₁	—	8	2	no	—
415	C₂×C₄×C₁₁	—	8	2	no	—
416	C₂×C₄×C₁₁	—	8	2	no	—
417	C₂×C₄×C₁₁	—	8	1	no	—
418	C₂×C₄×C₁₁	—	8	2	no	—
419	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
420	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
421	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
422	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
423	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
424	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
425	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
426	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
427	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
428	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
429	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
430	C₈×C₁₁	—	2	2	no	—
431	C₈×C₁₁	—	2	2	no	—
432	C₈×C₁₁	—	2	4	no	—
433	C₂×H(5,𝔽₂)	C₂²×C₁₁	1	1	yes	characteristic
434	C₂×#137	C₂²×C₁₁	1	2	yes	—
435	C₂²×SD₁₆	C₂²×C₁₁	1	2	yes	—
436	#557	—	2	1	no	—
437	#557	—	2	1	no	—
438	#556	—	2	1	no	—
439	#556	—	2	1	no	—
440	#552	—	2	2	no	—
441	#552	—	2	2	no	—
442	#541	C₂²×C₁₁	1	4	yes	complemented
443	#536	C₂²×C₁₁	1	2	yes	—
444	#533	C₂²×C₁₁	1	2	yes	complemented
445	#533	C₂²×C₁₁	1	2	yes	complemented
446	#533	C₂²×C₁₁	1	1	yes	characteristic, complemented
447	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
448	#520	—	2	1	no	—
449	#520	C₂²×C₁₁	1	2	yes	—
450	#520	C₂²×C₁₁	1	1	yes	characteristic
451	#520	C₂²×C₁₁	1	1	yes	characteristic
452	#519	C₂²×C₁₁	1	2	yes	complemented
453	#518	—	2	2	no	—
454	#518	—	2	1	no	—
455	#518	C₂²×C₁₁	1	2	yes	—
456	#518	C₂²×C₁₁	1	1	yes	characteristic
457	C₄×#41	—	2	1	no	—
458	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
459	C₄×#41	C₂²×C₁₁	1	2	yes	—
460	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
461	C₂×C₄×D₄	—	2	2	no	—
462	C₂×C₄×D₄	—	2	1	no	—
463	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
464	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
465	#485	C₂²×C₁₁	1	4	yes	complemented
466	#485	C₂²×C₁₁	1	4	yes	complemented
467	#484	C₂²×C₁₁	1	4	yes	complemented
468	#483	C₂²×C₁₁	1	4	yes	complemented
469	#479	C₂²×C₁₁	1	2	yes	complemented
470	#478	C₂²×C₁₁	1	2	yes	complemented
471	#478	C₂²×C₁₁	1	4	yes	complemented
472	#477	C₂²×C₁₁	1	1	yes	characteristic, complemented
473	#476	C₂²×C₁₁	1	1	yes	characteristic, complemented
474	#476	C₂²×C₁₁	1	2	yes	complemented
475	#475	C₂²×C₁₁	1	1	yes	characteristic, complemented
476	#474	C₂²×C₁₁	1	1	yes	characteristic, complemented
477	#474	C₂²×C₁₁	1	2	yes	complemented
478	#462	C₂²×C₁₁	1	2	yes	complemented
479	#462	C₂²×C₁₁	1	2	yes	complemented
480	#461	C₂²×C₁₁	1	2	yes	complemented
481	#461	C₂²×C₁₁	1	2	yes	complemented
482	#461	C₂²×C₁₁	1	2	yes	complemented
483	#461	C₂²×C₁₁	1	4	yes	complemented
484	#461	C₂²×C₁₁	1	2	yes	complemented
485	#452	C₂²×C₁₁	1	4	yes	—
486	#452	C₂²×C₁₁	1	4	yes	—
487	#450	C₂²×C₁₁	1	4	yes	—
488	#450	C₂²×C₁₁	1	4	yes	—
489	#441	C₂²×C₁₁	1	4	yes	complemented
490	#440	C₂²×C₁₁	1	4	yes	complemented
491	#440	C₂²×C₁₁	1	4	yes	complemented
492	#440	C₂²×C₁₁	1	4	yes	complemented
493	C₄×Q₁₆	C₂²×C₁₁	1	4	yes	complemented
494	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
495	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
496	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
497	#433	C₂²×C₁₁	1	4	yes	complemented
498	#432	C₂²×C₁₁	1	2	yes	complemented
499	#431	C₂²×C₁₁	1	2	yes	complemented
500	#428	C₂²×C₁₁	1	2	yes	complemented
501	#427	C₂²×C₁₁	1	2	yes	complemented
502	#423	C₂²×C₁₁	1	1	yes	characteristic, complemented
503	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
504	#419	C₂²×C₁₁	1	2	yes	complemented
505	#418	C₂²×C₁₁	1	2	yes	—
506	#416	C₂²×C₁₁	1	2	yes	—
507	C₂×#103	C₂²×C₁₁	1	2	yes	complemented
508	#408	C₂²×C₁₁	1	2	yes	—
509	#405	C₂²×C₁₁	1	2	yes	complemented
510	C₂²×C₁₁	—	2	1	no	—
511	C₂²×C₁₁	—	2	1	no	—
512	C₂²×C₁₁	—	2	2	no	—
513	C₂²×C₁₁	—	2	2	no	—
514	C₂²×C₁₁	—	2	4	no	—
515	C₂²×C₁₁	—	2	2	no	—
516	C₂²×C₁₁	—	2	2	no	—
517	C₂²×C₁₁	—	4	2	no	—
518	C₂²×C₁₁	—	4	1	no	—
519	C₂²×C₁₁	—	4	2	no	—
520	C₂²×C₁₁	—	4	1	no	—
521	C₂²×C₁₁	—	8	4	no	—
522	C₂²×C₁₁	—	8	8	no	—
523	C₂²×C₁₁	#525	1	2	yes	—
524	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
525	C₄×C₁₁	—	2	1	no	—
526	C₄×C₁₁	—	2	2	no	—
527	C₄×C₁₁	—	2	1	no	—
528	C₄×C₁₁	—	2	2	no	—
529	C₄×C₁₁	—	2	2	no	—
530	C₄×C₁₁	—	2	2	no	—
531	C₄×C₁₁	—	2	1	no	—
532	C₄×C₁₁	—	4	1	no	—
533	C₄×C₁₁	—	4	2	no	—
534	C₄×C₁₁	—	4	4	no	—
535	C₄×C₁₁	—	4	2	no	—
536	C₄×C₁₁	—	4	1	no	—
537	C₄×C₁₁	—	4	2	no	—
538	C₄×C₁₁	#525	1	2	yes	—
539	C₄×C₁₁	#577	1	2	yes	—
540	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
541	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
542	H(5,𝔽₂)	—	2	4	no	—
543	H(5,𝔽₂)	—	2	4	no	—
544	C₂×#41	—	2	1	no	—
545	C₂×#41	C₂³×C₁₁	1	2	yes	—
546	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
547	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
548	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
549	C₂²×D₄	—	2	2	no	—
550	C₂²×D₄	—	2	1	no	—
551	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
552	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
553	C₂³×C₄	—	2	1	no	—
554	C₂³×C₄	—	2	2	no	—
555	#137	—	2	8	no	—
556	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
557	C₂×SD₁₆	—	2	8	no	—
558	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
559	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
560	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
561	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
562	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
563	C₄⋊Q₈	—	2	2	no	—
564	C₄⋊Q₈	—	2	1	no	—
565	C₄⋊Q₈	—	2	1	no	—
566	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
567	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
568	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
569	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
570	#126	—	2	4	no	—
571	#126	—	2	4	no	—
572	#125	—	2	4	no	—
573	#125	—	2	4	no	—
574	#125	—	2	2	no	—
575	#125	—	2	2	no	—
576	#125	C₂³×C₁₁	1	2	yes	—
577	#124	—	2	2	no	—
578	#123	—	2	4	no	—
579	C₂²⋊Q₈	—	2	1	no	—
580	C₂²⋊Q₈	—	2	1	no	—
581	C₂²⋊Q₈	—	2	2	no	—
582	C₂²⋊Q₈	—	2	2	no	—
583	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
584	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
585	C₄×Q₈	—	2	1	no	—
586	C₄×Q₈	—	2	2	no	—
587	C₄×Q₈	—	2	2	no	—
588	C₄×Q₈	—	2	2	no	—
589	C₄×Q₈	—	2	2	no	—
590	C₄×Q₈	—	2	1	no	—
591	C₄×Q₈	—	2	1	no	—
592	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
593	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
594	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
595	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
596	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
597	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
598	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
599	C₄×D₄	—	2	2	no	—
600	C₄×D₄	—	2	1	no	—
601	C₄×D₄	—	2	1	no	—
602	C₄×D₄	—	2	2	no	—
603	C₄×D₄	—	2	1	no	—
604	C₄×D₄	—	2	2	no	—
605	C₄×D₄	—	2	1	no	—
606	C₄×D₄	—	2	2	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	2	no	—
612	C₄×D₄	—	2	2	no	—
613	C₄×D₄	—	2	1	no	—
614	C₄×D₄	—	2	2	no	—
615	C₄×D₄	—	2	1	no	—
616	C₄×D₄	D₄×C₁₁	1	2	yes	—
617	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
618	C₄×D₄	D₄×C₁₁	1	2	yes	—
619	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
620	C₄×D₄	C₂³×C₁₁	1	2	yes	—
621	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
622	C₄×D₄	C₂³×C₁₁	1	2	yes	—
623	C₄×D₄	C₂³×C₁₁	1	2	yes	—
624	C₄×D₄	C₂³×C₁₁	1	2	yes	—
625	C₄×D₄	C₂³×C₁₁	1	2	yes	—
626	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
627	#117	—	2	2	no	—
628	#117	—	2	2	no	—
629	#117	—	2	1	no	—
630	#117	—	2	2	no	—
631	#117	—	2	4	no	—
632	#117	—	2	2	no	—
633	#117	—	2	1	no	—
634	#117	C₂³×C₁₁	1	1	yes	characteristic
635	#117	C₂³×C₁₁	1	2	yes	—
636	#117	C₂³×C₁₁	1	2	yes	—
637	#117	C₂³×C₁₁	1	1	yes	characteristic
638	#117	C₂³×C₁₁	1	2	yes	—
639	C₂×C₄⋊C₄	—	2	1	no	—
640	C₂×C₄⋊C₄	—	2	1	no	—
641	C₂×C₄⋊C₄	—	2	1	no	—
642	C₂×C₄⋊C₄	—	2	2	no	—
643	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
645	C₂×C₂²⋊C₄	—	2	1	no	—
646	C₂×C₂²⋊C₄	—	2	2	no	—
647	C₂×C₂²⋊C₄	—	2	2	no	—
648	C₂×C₂²⋊C₄	—	2	2	no	—
649	C₂×C₂²⋊C₄	—	2	2	no	—
650	C₂×C₄²	—	2	2	no	—
651	C₂×C₄²	—	2	1	no	—
652	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
653	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
654	#107	C₂³×C₁₁	1	2	yes	—
655	#107	C₂³×C₁₁	1	2	yes	—
656	#107	C₂³×C₁₁	1	4	yes	—
657	#106	C₂³×C₁₁	1	2	yes	—
658	#106	C₂³×C₁₁	1	2	yes	—
659	#106	C₂³×C₁₁	1	4	yes	—
660	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
661	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
662	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
663	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
664	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
665	#103	C₂³×C₁₁	1	4	yes	—
666	#103	C₂³×C₁₁	1	4	yes	—
667	#103	C₂³×C₁₁	1	2	yes	—
668	#103	C₂³×C₁₁	1	2	yes	—
669	#103	C₂³×C₁₁	1	4	yes	—
670	#103	C₂³×C₁₁	1	4	yes	—
671	#102	C₂³×C₁₁	1	2	yes	—
672	#102	C₂³×C₁₁	1	2	yes	—
673	#102	C₂³×C₁₁	1	4	yes	—
674	#102	C₂³×C₁₁	1	4	yes	—
675	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
676	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
677	#97	C₂³×C₁₁	1	4	yes	—
678	C₄×C₈	C₂³×C₁₁	1	4	yes	—
679	C₂×C₁₁	—	2	2	no	—
680	C₂×C₁₁	—	4	2	no	—
681	C₂×C₁₁	—	4	4	no	—
682	C₂×C₁₁	—	4	2	no	—
683	C₂×C₁₁	C₂×#525	1	1	yes	characteristic
684	C₂×C₁₁	C₂×#577	1	1	yes	characteristic
685	C₂×C₁₁	#3586	1	1	yes	characteristic
686	C₂⁴	—	2	2	no	—
687	C₂⁴	—	2	1	no	—
688	#41	—	2	8	no	—
689	#41	—	2	4	no	—
690	#41	—	2	4	no	—
691	#41	—	2	2	no	—
692	#41	—	2	2	no	—
693	#41	—	2	2	no	—
694	#41	C₁₁×#41	1	4	yes	—
695	C₂×Q₈	—	2	1	no	—
696	C₂×Q₈	—	2	1	no	—
697	C₂×Q₈	—	2	2	no	—
698	C₂×Q₈	—	2	4	no	—
699	C₂×Q₈	—	2	4	no	—
700	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
701	C₂×Q₈	C₂⁴×C₁₁	1	4	yes	—
702	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
703	C₂×D₄	—	2	16	no	—
704	C₂×D₄	—	2	8	no	—
705	C₂×D₄	—	2	2	no	—
706	C₂×D₄	—	2	1	no	—
707	C₂×D₄	—	2	4	no	—
708	C₂×D₄	—	2	4	no	—
709	C₂×D₄	—	2	2	no	—
710	C₂×D₄	—	2	1	no	—
711	C₂×D₄	—	2	2	no	—
712	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
713	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
714	C₂×D₄	C₁₁×#41	1	4	yes	—
715	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
716	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
717	C₂²×C₄	—	2	2	no	—
718	C₂²×C₄	—	2	1	no	—
719	C₂²×C₄	—	2	2	no	—
720	C₂²×C₄	—	2	2	no	—
721	C₂²×C₄	—	2	1	no	—
722	C₂²×C₄	—	2	2	no	—
723	C₂²×C₄	—	2	1	no	—
724	C₂²×C₄	—	2	2	no	—
725	C₂²×C₄	—	2	1	no	—
726	C₂²×C₄	—	2	2	no	—
727	C₂²×C₄	—	2	2	no	—
728	C₂²×C₄	—	2	2	no	—
729	C₂²×C₄	—	8	2	no	—
730	C₂²×C₄	—	8	4	no	—
731	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
732	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
733	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
734	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
735	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
736	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
737	Q₁₆	—	2	8	no	—
738	SD₁₆	—	2	8	no	—
739	SD₁₆	—	2	8	no	—
740	SD₁₆	—	2	8	no	—
741	M₁₆	—	2	4	no	—
742	C₂×C₈	—	2	4	no	—
743	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
744	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
745	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
746	C₄⋊C₄	—	2	2	no	—
747	C₄⋊C₄	—	2	1	no	—
748	C₄⋊C₄	—	2	2	no	—
749	C₄⋊C₄	—	2	1	no	—
750	C₄⋊C₄	—	2	2	no	—
751	C₄⋊C₄	—	2	2	no	—
752	C₄⋊C₄	—	2	2	no	—
753	C₄⋊C₄	—	2	2	no	—
754	C₄⋊C₄	—	2	1	no	—
755	C₄⋊C₄	—	2	1	no	—
756	C₄⋊C₄	—	2	1	no	—
757	C₄⋊C₄	—	2	4	no	—
758	C₄⋊C₄	—	2	4	no	—
759	C₄⋊C₄	—	2	2	no	—
760	C₄⋊C₄	—	2	2	no	—
761	C₄⋊C₄	—	2	4	no	—
762	C₄⋊C₄	—	2	4	no	—
763	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
764	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
765	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
766	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
767	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
768	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
769	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
770	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
771	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
772	C₂²⋊C₄	—	2	2	no	—
773	C₂²⋊C₄	—	2	1	no	—
774	C₂²⋊C₄	—	2	2	no	—
775	C₂²⋊C₄	—	2	4	no	—
776	C₂²⋊C₄	—	2	4	no	—
777	C₂²⋊C₄	—	2	2	no	—
778	C₂²⋊C₄	—	2	1	no	—
779	C₂²⋊C₄	—	2	2	no	—
780	C₂²⋊C₄	—	2	2	no	—
781	C₂²⋊C₄	—	2	2	no	—
782	C₂²⋊C₄	—	2	2	no	—
783	C₂²⋊C₄	—	2	1	no	—
784	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
785	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
786	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
787	C₄²	—	2	1	no	—
788	C₄²	—	2	2	no	—
789	C₄²	—	2	1	no	—
790	C₄²	—	2	2	no	—
791	C₄²	—	2	1	no	—
792	C₄²	—	2	4	no	—
793	C₄²	—	2	4	no	—
794	C₄²	—	2	2	no	—
795	C₄²	C₂×D₄×C₁₁	1	2	yes	—
796	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
797	C₄²	C₂×D₄×C₁₁	1	2	yes	—
798	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
799	C₄²	C₂⁴×C₁₁	1	2	yes	—
800	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
801	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
802	C₁₁	#60591	1	1	yes	characteristic, direct product factor, Sylow
803	C₂³	—	2	8	no	—
804	C₂³	—	2	2	no	—
805	C₂³	—	2	1	no	—
806	C₂³	—	2	4	no	—
807	C₂³	—	8	1	no	—
808	C₂³	—	8	2	no	—
809	C₂³	—	8	1	no	—
810	C₂³	—	8	2	no	—
811	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
812	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
813	Q₈	—	2	2	no	—
814	Q₈	—	2	1	no	—
815	Q₈	—	2	4	no	—
816	Q₈	—	2	4	no	—
817	Q₈	—	4	2	no	—
818	Q₈	—	4	4	no	—
819	Q₈	—	4	2	no	—
820	Q₈	C₂×C₁₁×#41	1	2	yes	—
821	D₄	—	2	8	no	—
822	D₄	—	2	8	no	—
823	D₄	—	2	4	no	—
824	D₄	—	2	4	no	—
825	D₄	—	2	2	no	—
826	D₄	—	2	4	no	—
827	D₄	—	2	2	no	—
828	D₄	—	2	1	no	—
829	D₄	C₂×C₁₁×#41	1	2	yes	—
830	D₄	C₂×C₁₁×#41	1	4	yes	—
831	C₂×C₄	—	2	8	no	—
832	C₂×C₄	—	2	1	no	—
833	C₂×C₄	—	2	4	no	—
834	C₂×C₄	—	2	2	no	—
835	C₂×C₄	—	2	4	no	—
836	C₂×C₄	—	2	2	no	—
837	C₂×C₄	—	2	2	no	—
838	C₂×C₄	—	2	1	no	—
839	C₂×C₄	—	2	2	no	—
840	C₂×C₄	—	2	2	no	—
841	C₂×C₄	—	2	2	no	—
842	C₂×C₄	—	2	1	no	—
843	C₂×C₄	—	2	4	no	—
844	C₂×C₄	—	4	1	no	—
845	C₂×C₄	—	4	2	no	—
846	C₂×C₄	—	4	4	no	—
847	C₂×C₄	—	4	4	no	—
848	C₂×C₄	—	4	2	no	—
849	C₂×C₄	—	8	2	no	—
850	C₂×C₄	—	8	1	no	—
851	C₂×C₄	—	8	2	no	—
852	C₂×C₄	—	8	2	no	—
853	C₂×C₄	—	8	2	no	—
854	C₂×C₄	—	8	1	no	—
855	C₂×C₄	—	8	2	no	—
856	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
857	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
858	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
859	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
860	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
861	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
862	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
863	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
864	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
865	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
866	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
867	C₈	—	2	2	no	—
868	C₈	—	2	2	no	—
869	C₈	—	2	4	no	—
870	C₂²	—	2	1	no	—
871	C₂²	—	2	1	no	—
872	C₂²	—	2	2	no	—
873	C₂²	—	2	4	no	—
874	C₂²	—	2	2	no	—
875	C₂²	—	2	2	no	—
876	C₂²	—	2	2	no	—
877	C₂²	—	4	2	no	—
878	C₂²	—	4	1	no	—
879	C₂²	—	4	2	no	—
880	C₂²	—	4	1	no	—
881	C₂²	—	8	4	no	—
882	C₂²	—	8	8	no	—
883	C₂²	C₁₁×#525	1	2	yes	—
884	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
885	C₄	—	2	2	no	—
886	C₄	—	2	2	no	—
887	C₄	—	2	2	no	—
888	C₄	—	2	1	no	—
889	C₄	—	2	1	no	—
890	C₄	—	2	2	no	—
891	C₄	—	2	1	no	—
892	C₄	—	4	4	no	—
893	C₄	—	4	2	no	—
894	C₄	—	4	1	no	—
895	C₄	—	4	2	no	—
896	C₄	—	4	1	no	—
897	C₄	—	4	2	no	—
898	C₄	C₁₁×#525	1	2	yes	—
899	C₄	C₁₁×#577	1	2	yes	—
900	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
901	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
902	C₂	—	2	2	no	—
903	C₂	—	4	2	no	—
904	C₂	—	4	4	no	—
905	C₂	—	4	2	no	—
906	C₂	C₂×C₁₁×#525	1	1	yes	characteristic
907	C₂	C₂×C₁₁×#577	1	1	yes	characteristic
908	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	C₂×C₁₁×H(5,𝔽₂)	C₂²
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×#3509	C₂	semidirect
3. C₁₁×#3123	C₂	semidirect
4. C₁₁×#3120	C₂	semidirect
5. C₁₁×#3116	C₂	semidirect
6. C₁₁×#3110	C₂	semidirect
7. C₁₁×#3107	C₂	semidirect
8. C₁₁×#3101	C₂	semidirect
9. C₁₁×#3097	C₂	semidirect
10. C₁₁×#3077	C₂	semidirect
11. C₁₁×#3076	C₂	semidirect
12. C₁₁×#3039	C₂	semidirect
13. C₂×C₁₁×#461	C₂	semidirect
15. C₁₁×#2949	C₂	semidirect
16. C₁₁×#2947	C₂	semidirect
17. C₁₁×#2925	C₂	semidirect
27. C₁₁×#541	C₂²	semidirect
29. C₁₁×#533	C₂²	semidirect
30. C₁₁×#533	C₂²	semidirect
31. C₁₁×#533	C₂²	semidirect
32. C₂×C₁₁×C₄⋊Q₈	C₂²	semidirect
37. C₁₁×#519	C₂²	semidirect
50. C₁₁×#485	C₂²	semidirect
51. C₁₁×#485	C₂²	semidirect
52. C₁₁×#484	C₂²	semidirect
53. C₁₁×#483	C₂²	semidirect
54. C₁₁×#479	C₂²	semidirect
55. C₁₁×#478	C₂²	semidirect
56. C₁₁×#478	C₂²	semidirect
57. C₁₁×#477	C₂²	semidirect
58. C₁₁×#476	C₂²	semidirect
59. C₁₁×#476	C₂²	semidirect
60. C₁₁×#475	C₂²	semidirect
61. C₁₁×#474	C₂²	semidirect
62. C₁₁×#474	C₂²	semidirect
63. C₁₁×#462	C₂²	semidirect
64. C₁₁×#462	C₂²	semidirect
65. C₁₁×#461	C₂²	semidirect
66. C₁₁×#461	C₂²	semidirect
67. C₁₁×#461	C₂²	semidirect
68. C₁₁×#461	C₂²	semidirect
69. C₁₁×#461	C₂²	semidirect
74. C₁₁×#441	C₂²	semidirect
75. C₁₁×#440	C₂²	semidirect
76. C₁₁×#440	C₂²	semidirect
77. C₁₁×#440	C₂²	semidirect
78. C₄×C₁₁×Q₁₆	C₂²	semidirect
79. C₄×C₁₁×SD₁₆	C₂²	semidirect
80. C₄×C₁₁×SD₁₆	C₂²	semidirect
81. C₄×C₁₁×SD₁₆	C₂²	semidirect
82. C₁₁×#433	C₂²	semidirect
83. C₁₁×#432	C₂²	semidirect
84. C₁₁×#431	C₂²	semidirect
85. C₁₁×#428	C₂²	semidirect
86. C₁₁×#427	C₂²	semidirect
87. C₁₁×#423	C₂²	semidirect
88. C₂×C₁₁×C₄⋊C₈	C₂²	semidirect
89. C₁₁×#419	C₂²	semidirect
92. C₂×C₁₁×#103	C₂²	semidirect
94. C₁₁×#405	C₂²	semidirect
232. #60591	C₁₁	direct (N × H)
349. #3509	C₂×C₁₁	semidirect
351. #3123	C₂×C₁₁	semidirect
352. #3120	C₂×C₁₁	semidirect
353. #3116	C₂×C₁₁	semidirect
354. #3110	C₂×C₁₁	semidirect
355. #3107	C₂×C₁₁	semidirect
356. #3101	C₂×C₁₁	semidirect
357. #3097	C₂×C₁₁	semidirect
358. #3077	C₂×C₁₁	semidirect
359. #3076	C₂×C₁₁	semidirect
360. #3039	C₂×C₁₁	semidirect
361. C₂×#461	C₂×C₁₁	semidirect
363. #2949	C₂×C₁₁	semidirect
364. #2947	C₂×C₁₁	semidirect
365. #2925	C₂×C₁₁	semidirect
442. #541	C₂²×C₁₁	semidirect
444. #533	C₂²×C₁₁	semidirect
445. #533	C₂²×C₁₁	semidirect
446. #533	C₂²×C₁₁	semidirect
447. C₂×C₄⋊Q₈	C₂²×C₁₁	semidirect
452. #519	C₂²×C₁₁	semidirect
465. #485	C₂²×C₁₁	semidirect
466. #485	C₂²×C₁₁	semidirect
467. #484	C₂²×C₁₁	semidirect
468. #483	C₂²×C₁₁	semidirect
469. #479	C₂²×C₁₁	semidirect
470. #478	C₂²×C₁₁	semidirect
471. #478	C₂²×C₁₁	semidirect
472. #477	C₂²×C₁₁	semidirect
473. #476	C₂²×C₁₁	semidirect
474. #476	C₂²×C₁₁	semidirect
475. #475	C₂²×C₁₁	semidirect
476. #474	C₂²×C₁₁	semidirect
477. #474	C₂²×C₁₁	semidirect
478. #462	C₂²×C₁₁	semidirect
479. #462	C₂²×C₁₁	semidirect
480. #461	C₂²×C₁₁	semidirect
481. #461	C₂²×C₁₁	semidirect
482. #461	C₂²×C₁₁	semidirect
483. #461	C₂²×C₁₁	semidirect
484. #461	C₂²×C₁₁	semidirect
489. #441	C₂²×C₁₁	semidirect
490. #440	C₂²×C₁₁	semidirect
491. #440	C₂²×C₁₁	semidirect
492. #440	C₂²×C₁₁	semidirect
493. C₄×Q₁₆	C₂²×C₁₁	semidirect
494. C₄×SD₁₆	C₂²×C₁₁	semidirect
495. C₄×SD₁₆	C₂²×C₁₁	semidirect
496. C₄×SD₁₆	C₂²×C₁₁	semidirect
497. #433	C₂²×C₁₁	semidirect
498. #432	C₂²×C₁₁	semidirect
499. #431	C₂²×C₁₁	semidirect
500. #428	C₂²×C₁₁	semidirect
501. #427	C₂²×C₁₁	semidirect
502. #423	C₂²×C₁₁	semidirect
503. C₂×C₄⋊C₈	C₂²×C₁₁	semidirect
504. #419	C₂²×C₁₁	semidirect
507. C₂×#103	C₂²×C₁₁	semidirect
509. #405	C₂²×C₁₁	semidirect
802. C₁₁	#60591	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×#3509	2
C₄×C₁₁×H(5,𝔽₂)	2
C₁₁×#3123	2
C₁₁×#3120	2
C₁₁×#3116	2
C₁₁×#3110	2
C₁₁×#3107	2
C₁₁×#3101	2
C₁₁×#3097	2
C₁₁×#3077	2
C₁₁×#3076	2
C₁₁×#3039	2
C₂×C₁₁×#461	2
C₁₁×#3009	2
C₁₁×#2949	2
C₁₁×#2947	2
C₁₁×#2925	2
#60591	11

Subgroups — C11×#60591 #14637784

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60591 #14637784