Subgroups — #15618104

Order 2816.

2612 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13083385	C₂	1	1	yes	maximal, characteristic
2	#13083327	C₂	1	2	yes	maximal, complemented
3	#13077533	C₂	1	1	yes	maximal, characteristic, complemented
4	#13077532	C₂	1	1	yes	maximal, characteristic, complemented
5	#13077528	C₂	1	4	yes	maximal, complemented
6	#13077522	C₂	1	2	yes	maximal, complemented
7	#13077521	C₂	1	4	yes	maximal, complemented
8	#13077517	C₂	1	2	yes	maximal, complemented
9	#13077514	C₂	1	4	yes	maximal, complemented
10	C₂×#10622313	C₂	1	1	yes	maximal, characteristic, complemented
11	D₁₁×#443	C₂	1	4	yes	maximal, complemented
12	#13077224	C₂	1	1	yes	maximal, characteristic, complemented
13	#13077160	C₂	1	2	yes	maximal, complemented
14	C₄×#66954	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₁×#443	C₂	1	1	yes	maximal, characteristic, complemented
16	#10623453	C₂²	1	2	yes	—
17	C₂×C₁₁×#135	C₂²	1	1	yes	characteristic
18	C₂×C₁₁×#131	C₂²	1	2	yes	complemented
19	#10623353	C₂²	1	2	yes	—
20	#10623350	C₂²	1	2	yes	complemented
21	#10623302	C₄	1	2	yes	complemented
22	#10623301	C₄	1	4	yes	complemented
23	#10623300	C₄	1	2	yes	complemented
24	#10623299	C₂²	1	4	yes	—
25	D₁₁×#135	C₂²	1	4	yes	—
26	#10623297	C₄	1	2	yes	complemented
27	#10623293	C₄	1	4	yes	complemented
28	#10623288	C₄	1	2	yes	complemented
29	#10623281	—	2	4	no	—
30	#10623281	C₂²	1	8	yes	complemented
31	D₁₁×#131	—	2	4	no	—
32	D₁₁×#131	C₂²	1	8	yes	complemented
33	#10623276	—	2	4	no	—
34	#10623276	C₂²	1	2	yes	—
35	#10623276	C₂²	1	2	yes	complemented
36	C₂×#66957	C₂²	1	1	yes	characteristic
37	C₂×#66954	—	2	4	no	—
38	C₂×#66954	C₂²	1	1	yes	characteristic
39	C₂×#66954	C₂²	1	1	yes	characteristic
40	C₂×#66954	C₂²	1	2	yes	complemented
41	C₄×#4339	C₂²	1	1	yes	characteristic
42	C₁₁×#443	C₂²	1	2	yes	complemented
43	C₁₁×#443	C₂²	1	2	yes	complemented
44	C₁₁×#443	C₂²	1	2	yes	complemented
45	C₁₁×#443	C₂²	1	2	yes	complemented
46	C₂×C₁₁×#108	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₁₁×#104	C₂²	1	2	yes	complemented
48	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
49	#10622849	C₂²	1	2	yes	complemented
50	#10622810	C₂²	1	4	yes	complemented
51	#10622809	C₂²	1	4	yes	complemented
52	#10622758	C₂²	1	8	yes	complemented
53	#10622757	C₂²	1	8	yes	complemented
54	#10622752	C₂²	1	2	yes	complemented
55	#10622737	C₂²	1	2	yes	complemented
56	C₂×#66883	C₂²	1	1	yes	characteristic, complemented
57	#10622714	C₂²	1	1	yes	characteristic, complemented
58	#10622714	C₂²	1	1	yes	characteristic, complemented
59	C₂×#66869	C₂²	1	2	yes	complemented
60	C₄×#4318	C₂²	1	1	yes	characteristic, complemented
61	#10622508	C₂²	1	4	yes	complemented
62	#10622507	C₂²	1	4	yes	complemented
63	#10622506	C₂²	1	4	yes	complemented
64	D₁₁×#108	C₂²	1	4	yes	complemented
65	#10622437	C₂²	1	8	yes	complemented
66	#10622436	C₂²	1	8	yes	complemented
67	#10622434	C₂²	1	8	yes	complemented
68	D₁₁×#104	C₂²	1	8	yes	complemented
69	#10622313	C₂²	1	2	yes	complemented
70	#10622313	C₂²	1	2	yes	complemented
71	#10622313	C₂²	1	2	yes	complemented
72	#10622313	C₂²	1	2	yes	complemented
73	#10622302	C₂²	1	2	yes	complemented
74	#10622302	C₂²	1	2	yes	complemented
75	C₄×#4313	C₂²	1	2	yes	complemented
76	C₄×C₈×D₁₁	C₂²	1	2	yes	complemented
77	C₂×C₁₁×#41	C₂³	1	2	yes	—
78	#67043	—	2	2	no	—
79	#67043	C₂×C₄	1	4	yes	—
80	#67042	—	2	2	no	—
81	#67042	C₂×C₄	1	4	yes	—
82	#41×D₁₁	—	2	4	no	—
83	#41×D₁₁	C₂³	1	8	yes	—
84	#67040	C₂×C₄	1	4	yes	—
85	#67037	—	2	4	no	—
86	#67037	C₂×C₄	1	4	yes	—
87	C₂×#4339	—	2	4	no	—
88	C₂×#4339	C₂³	1	2	yes	—
89	C₂×#4339	C₂³	1	1	yes	characteristic
90	C₁₁×#135	C₂×C₄	1	2	yes	complemented
91	C₁₁×#135	C₂×C₄	1	2	yes	complemented
92	C₁₁×#135	C₂³	1	2	yes	—
93	C₁₁×#135	C₂³	1	2	yes	—
94	C₂×C₁₁×Q₁₆	C₂×C₄	1	1	yes	characteristic, complemented
95	C₂×C₁₁×SD₁₆	C₂×C₄	1	2	yes	complemented
96	C₂×C₁₁×D₈	C₂×C₄	1	1	yes	characteristic, complemented
97	C₁₁×#131	—	2	2	no	—
98	C₁₁×#131	—	2	2	no	—
99	C₁₁×#131	C₂³	1	4	yes	—
100	C₁₁×#131	C₂³	1	4	yes	—
101	C₂×C₁₁×M₁₆	—	2	2	no	—
102	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
103	C₂²×C₈×C₁₁	—	2	2	no	—
104	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
105	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
106	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
107	#67004	C₂×C₄	1	4	yes	complemented
108	#67003	C₂³	1	8	yes	—
109	#67002	C₂×C₄	1	4	yes	complemented
110	#67001	—	2	4	no	—
111	#67001	C₂³	1	8	yes	—
112	#66995	C₂×C₄	1	4	yes	complemented
113	#66985	C₂×C₄	1	4	yes	complemented
114	C₄×C₂²⋊D₁₁	—	2	2	no	—
115	#66979	C₂³	1	1	yes	characteristic
116	C₂×#4318	—	2	4	no	—
117	C₂×#4318	C₂³	1	2	yes	—
118	C₂×#4318	C₂³	1	1	yes	characteristic
119	C₂×#4318	C₂³	1	1	yes	characteristic
120	#66972	C₂×C₄	1	4	yes	complemented
121	#66971	C₂×C₄	1	8	yes	complemented
122	Q₁₆×D₁₁	C₂×C₄	1	4	yes	complemented
123	#66969	C₂×C₄	1	8	yes	complemented
124	#66968	C₂×C₄	1	8	yes	complemented
125	#66967	C₂×C₄	1	8	yes	complemented
126	SD₁₆×D₁₁	C₂×C₄	1	8	yes	complemented
127	#66965	C₂×C₄	1	4	yes	complemented
128	#66964	C₂×C₄	1	8	yes	complemented
129	D₈×D₁₁	C₂×C₄	1	4	yes	complemented
130	#66960	—	2	4	no	—
131	#66960	—	2	8	no	—
132	#66960	—	2	8	no	—
133	#66960	C₂³	1	8	yes	—
134	M₁₆×D₁₁	—	2	4	no	—
135	M₁₆×D₁₁	—	2	8	no	—
136	M₁₆×D₁₁	—	2	8	no	—
137	M₁₆×D₁₁	C₂³	1	8	yes	—
138	C₂×Dic₄₄	C₂×C₄	1	1	yes	characteristic, complemented
139	#66957	C₂×C₄	1	2	yes	complemented
140	#66957	C₂×C₄	1	2	yes	complemented
141	#66957	C₂³	1	2	yes	—
142	#66957	C₂³	1	2	yes	—
143	C₂×D₈₈	C₂×C₄	1	1	yes	characteristic, complemented
144	C₂×#4314	C₂×C₄	1	2	yes	complemented
145	#66954	—	2	4	no	—
146	#66954	—	2	2	no	—
147	#66954	—	2	2	no	—
148	#66954	—	2	4	no	—
149	#66954	—	2	8	no	—
150	#66954	—	2	8	no	—
151	#66954	C₂×C₄	1	2	yes	—
152	#66954	C₂×C₄	1	2	yes	—
153	#66954	C₂×C₄	1	2	yes	—
154	#66954	C₂×C₄	1	2	yes	—
155	#66954	D₄	1	2	yes	—
156	#66954	D₄	1	2	yes	—
157	#66954	D₄	1	2	yes	—
158	#66954	D₄	1	2	yes	—
159	#66954	C₂³	1	4	yes	—
160	#66954	C₂³	1	4	yes	—
161	C₂×#4313	—	2	2	no	—
162	C₂×#4313	—	2	8	no	—
163	C₂×#4313	C₂³	1	2	yes	—
164	C₂×#4313	C₂³	1	2	yes	—
165	C₂×C₈×D₁₁	—	2	2	no	—
166	C₂×C₈×D₁₁	—	2	8	no	—
167	C₂×C₈×D₁₁	C₂³	1	2	yes	—
168	C₂×C₈×D₁₁	C₂³	1	2	yes	—
169	C₄×D₄₄	—	2	1	no	—
170	#66925	C₂³	1	2	yes	—
171	C₄²×D₁₁	C₂³	1	2	yes	—
172	C₄×Dic₂₂	—	2	1	no	—
173	C₁₁×#108	C₂³	1	2	yes	—
174	C₁₁×#108	C₂³	1	2	yes	—
175	C₁₁×#104	C₂³	1	4	yes	—
176	C₁₁×#104	C₂³	1	4	yes	—
177	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
178	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
179	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
180	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
181	#66901	C₂³	1	8	yes	—
182	#66889	C₂³	1	8	yes	—
183	#66886	C₂³	1	8	yes	—
184	#66883	C₂³	1	2	yes	—
185	#66883	C₂³	1	2	yes	—
186	#66879	C₂³	1	2	yes	—
187	#66879	C₂³	1	2	yes	—
188	C₈×Dic₁₁	C₂³	1	2	yes	—
189	C₈×Dic₁₁	C₂³	1	2	yes	—
190	#66869	C₂³	1	4	yes	—
191	#66869	C₂³	1	4	yes	—
192	#66867	C₂³	1	2	yes	—
193	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
194	#60183	—	11	1	no	maximal, Sylow
195	C₁₁×#41	—	2	2	no	—
196	C₁₁×#41	—	2	2	no	—
197	C₁₁×#41	C₂²×C₄	1	4	yes	—
198	C₁₁×#41	C₂⁴	1	4	yes	—
199	C₂×Q₈×C₁₁	C₂²×C₄	1	2	yes	—
200	C₂×D₄×C₁₁	—	2	2	no	—
201	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
202	C₂²×C₄×C₁₁	—	2	2	no	—
203	C₂²×C₄×C₁₁	—	2	1	no	—
204	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
205	C₂×C₂²⋊D₁₁	—	2	8	no	—
206	C₂×C₂²⋊D₁₁	—	2	2	no	—
207	C₂×C₂²⋊D₁₁	#41	1	2	yes	—
208	#4343	—	2	4	no	—
209	#4343	C₂²×C₄	1	8	yes	—
210	Q₈×D₁₁	—	2	4	no	—
211	Q₈×D₁₁	C₂²×C₄	1	8	yes	—
212	#4341	—	2	8	no	—
213	#4341	—	2	8	no	—
214	#4341	—	2	4	no	—
215	#4341	C₂²×C₄	1	8	yes	—
216	D₄×D₁₁	—	2	8	no	—
217	D₄×D₁₁	—	2	4	no	—
218	D₄×D₁₁	—	2	8	no	—
219	D₄×D₁₁	C₂²×C₄	1	8	yes	—
220	#4339	—	2	8	no	—
221	#4339	—	2	4	no	—
222	#4339	—	2	8	no	—
223	#4339	—	2	4	no	—
224	#4339	—	2	2	no	—
225	#4339	—	2	2	no	—
226	#4339	C₂²×C₄	1	2	yes	—
227	#4339	C₂²×C₄	1	2	yes	—
228	#4339	C₂²×C₄	1	4	yes	—
229	#4339	C₂×D₄	1	2	yes	—
230	#4339	C₂×D₄	1	2	yes	—
231	#4339	C₂⁴	1	4	yes	—
232	C₂×D₄₄	—	2	4	no	—
233	C₂×D₄₄	C₂²×C₄	1	2	yes	—
234	C₂×D₄₄	#41	1	1	yes	characteristic
235	C₂×C₄×D₁₁	—	2	8	no	—
236	C₂×C₄×D₁₁	—	2	2	no	—
237	C₂×C₄×D₁₁	—	2	2	no	—
238	C₂×C₄×D₁₁	C₂⁴	1	2	yes	—
239	C₂×Dic₂₂	—	2	4	no	—
240	C₂×Dic₂₂	C₂²×C₄	1	2	yes	—
241	C₂×Dic₂₂	#41	1	1	yes	characteristic
242	C₁₁×Q₁₆	C₂²×C₄	1	2	yes	—
243	C₁₁×Q₁₆	C₂²×C₄	1	2	yes	—
244	C₁₁×SD₁₆	C₂²×C₄	1	4	yes	—
245	C₁₁×SD₁₆	C₂²×C₄	1	4	yes	—
246	C₁₁×D₈	C₂²×C₄	1	2	yes	—
247	C₁₁×D₈	C₂²×C₄	1	2	yes	—
248	C₁₁×M₁₆	—	2	4	no	—
249	C₁₁×M₁₆	—	2	4	no	—
250	C₁₁×M₁₆	—	2	2	no	—
251	C₁₁×M₁₆	C₂⁴	1	4	yes	—
252	C₂×C₈×C₁₁	—	2	4	no	—
253	C₂×C₈×C₁₁	—	2	4	no	—
254	C₂×C₈×C₁₁	—	2	2	no	—
255	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
256	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
257	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
258	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
259	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
260	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
261	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
262	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
263	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
264	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
265	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
266	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
267	C₄²×C₁₁	—	2	1	no	—
268	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
269	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
270	C₂²⋊Dic₁₁	—	2	1	no	—
271	#4326	C₂²×C₄	1	8	yes	—
272	#4325	C₂²×C₄	1	8	yes	—
273	#4324	C₂²×C₄	1	8	yes	—
274	#4323	C₂²×C₄	1	8	yes	—
275	(C₂×D₁₁)⋊C₄	—	2	2	no	—
276	C₄⋊Dic₁₁	—	2	1	no	—
277	Dic₁₁⋊C₄	—	2	2	no	—
278	C₄×Dic₁₁	—	2	2	no	—
279	C₄×Dic₁₁	C₂⁴	1	2	yes	—
280	#4318	—	2	8	no	—
281	#4318	—	2	2	no	—
282	#4318	C₂²×C₄	1	2	yes	—
283	#4318	C₂²×C₄	1	2	yes	—
284	#4318	C₂×D₄	1	2	yes	—
285	#4318	C₂×D₄	1	2	yes	—
286	#4318	C₂⁴	1	4	yes	—
287	C₂×C₁₁⋊C₈	—	2	8	no	—
288	C₂×C₁₁⋊C₈	—	2	2	no	—
289	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
290	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
291	Dic₄₄	C₂²×C₄	1	2	yes	—
292	Dic₄₄	C₂²×C₄	1	2	yes	—
293	D₈₈	C₂²×C₄	1	2	yes	—
294	D₈₈	C₂²×C₄	1	2	yes	—
295	#4314	C₂²×C₄	1	4	yes	—
296	#4314	C₂²×C₄	1	4	yes	—
297	#4313	—	2	8	no	—
298	#4313	—	2	4	no	—
299	#4313	—	2	4	no	—
300	#4313	—	2	8	no	—
301	#4313	C₂²×C₄	1	4	yes	—
302	#4313	C₂²×C₄	1	4	yes	—
303	#4313	C₂×D₄	1	4	yes	—
304	#4313	C₂×D₄	1	4	yes	—
305	C₈×D₁₁	—	2	8	no	—
306	C₈×D₁₁	—	2	4	no	—
307	C₈×D₁₁	—	2	4	no	—
308	C₈×D₁₁	—	2	8	no	—
309	C₈×D₁₁	C₂²×C₄	1	4	yes	—
310	C₈×D₁₁	C₂²×C₄	1	4	yes	—
311	C₈×D₁₁	C₂×D₄	1	4	yes	—
312	C₈×D₁₁	C₂×D₄	1	4	yes	—
313	#3584	—	11	1	no	—
314	#3573	—	11	2	no	—
315	#2957	—	11	4	no	—
316	#2957	—	11	1	no	—
317	#2957	—	11	1	no	—
318	#2956	—	11	4	no	—
319	#2956	—	11	2	no	—
320	#2955	—	11	4	no	—
321	#2955	—	11	2	no	—
322	C₂×#443	—	11	4	no	—
323	C₂×#443	—	11	1	no	—
324	C₂×#443	D₁₁	1	1	yes	characteristic, complemented
325	#2916	—	11	1	no	—
326	#2901	—	11	2	no	—
327	C₄×#131	—	11	1	no	—
328	C₂³×C₁₁	—	2	2	no	—
329	C₂³×C₁₁	C₂×#41	1	1	yes	characteristic
330	C₂²×D₁₁	—	2	2	no	—
331	C₂²×D₁₁	—	2	8	no	—
332	C₂²×D₁₁	C₂×#41	1	2	yes	—
333	Q₈×C₁₁	—	2	2	no	—
334	Q₈×C₁₁	C₂³×C₄	1	4	yes	—
335	D₄×C₁₁	—	2	4	no	—
336	D₄×C₁₁	—	2	4	no	—
337	D₄×C₁₁	—	2	2	no	—
338	D₄×C₁₁	C₂³×C₄	1	4	yes	—
339	C₂×C₄×C₁₁	—	2	2	no	—
340	C₂×C₄×C₁₁	—	2	1	no	—
341	C₂×C₄×C₁₁	—	2	4	no	—
342	C₂×C₄×C₁₁	—	2	4	no	—
343	C₂×C₄×C₁₁	—	2	1	no	—
344	C₂×C₄×C₁₁	—	4	2	no	—
345	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
346	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
347	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
348	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
349	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
350	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
351	C₂²⋊D₁₁	—	2	4	no	—
352	C₂²⋊D₁₁	—	2	4	no	—
353	C₂²⋊D₁₁	—	2	8	no	—
354	C₂²⋊D₁₁	—	2	8	no	—
355	C₂²⋊D₁₁	C₄×D₄	1	4	yes	—
356	C₂²⋊D₁₁	C₄×D₄	1	4	yes	—
357	C₂×Dic₁₁	—	2	2	no	—
358	C₂×Dic₁₁	—	2	8	no	—
359	C₂×Dic₁₁	—	2	2	no	—
360	C₂×Dic₁₁	C₂×#41	1	2	yes	—
361	D₄₄	—	2	8	no	—
362	D₄₄	—	2	2	no	—
363	D₄₄	C₄×D₄	1	2	yes	—
364	D₄₄	C₄×D₄	1	2	yes	—
365	D₄₄	C₂³×C₄	1	4	yes	—
366	C₄×D₁₁	—	2	8	no	—
367	C₄×D₁₁	—	2	4	no	—
368	C₄×D₁₁	—	2	4	no	—
369	C₄×D₁₁	—	2	8	no	—
370	C₄×D₁₁	—	4	4	no	—
371	C₄×D₁₁	C₂³×C₄	1	4	yes	—
372	C₄×D₁₁	C₂²×D₄	1	4	yes	—
373	Dic₂₂	—	2	2	no	—
374	Dic₂₂	—	2	8	no	—
375	Dic₂₂	C₄×D₄	1	2	yes	—
376	Dic₂₂	C₄×D₄	1	2	yes	—
377	Dic₂₂	C₂³×C₄	1	4	yes	—
378	C₈×C₁₁	—	2	4	no	—
379	C₈×C₁₁	C₂³×C₄	1	1	yes	characteristic
380	C₈×C₁₁	C₂³×C₄	1	1	yes	characteristic
381	C₈×C₁₁	C₂³×C₄	1	1	yes	characteristic
382	C₈×C₁₁	C₂³×C₄	1	1	yes	characteristic
383	C₈×C₁₁	C₂²×D₄	1	1	yes	characteristic
384	C₈×C₁₁	C₂²×D₄	1	1	yes	characteristic
385	C₈×C₁₁	C₂²×D₄	1	1	yes	characteristic
386	C₈×C₁₁	C₂²×D₄	1	1	yes	characteristic
387	C₁₁⋊C₈	—	2	4	no	—
388	C₁₁⋊C₈	C₂³×C₄	1	4	yes	—
389	C₁₁⋊C₈	C₂²×D₄	1	4	yes	—
390	#585	—	11	2	no	—
391	#578	—	11	2	no	—
392	#578	—	11	2	no	—
393	#577	—	11	4	no	—
394	#577	—	11	4	no	—
395	#576	—	11	2	no	—
396	#576	—	11	2	no	—
397	#575	—	11	2	no	—
398	#575	—	11	4	no	—
399	C₂×#135	—	11	4	no	—
400	C₂×#135	—	11	1	no	—
401	C₂×#135	C₂×D₁₁	1	1	yes	characteristic
402	#568	—	11	2	no	—
403	#568	—	11	2	no	—
404	#568	—	11	8	no	—
405	#568	—	11	2	no	—
406	#568	—	22	4	no	—
407	#568	—	22	4	no	—
408	C₂×#131	—	11	1	no	—
409	C₂×#131	—	11	1	no	—
410	C₂×#131	—	11	8	no	—
411	C₂×#131	—	11	2	no	—
412	C₂×#131	—	22	4	no	—
413	C₂×#131	—	22	4	no	—
414	C₂×#131	C₂×D₁₁	1	2	yes	complemented
415	C₄×#41	—	11	1	no	—
416	#444	—	11	4	no	—
417	#444	—	11	8	no	—
418	#444	—	11	4	no	—
419	#444	—	11	8	no	—
420	#443	—	11	4	no	—
421	#443	—	11	8	no	—
422	#443	—	11	4	no	—
423	#443	—	11	8	no	—
424	#443	—	11	2	no	—
425	#443	—	11	2	no	—
426	#443	—	11	2	no	—
427	#443	—	11	2	no	—
428	#443	C₂×D₁₁	1	2	yes	complemented
429	#443	C₂×D₁₁	1	2	yes	complemented
430	#443	C₂×D₁₁	1	2	yes	complemented
431	#443	C₂×D₁₁	1	2	yes	complemented
432	#430	—	11	2	no	—
433	#430	—	11	4	no	—
434	C₂×#108	—	11	1	no	—
435	C₂×#108	—	11	4	no	—
436	C₂×#108	C₂×D₁₁	1	1	yes	characteristic, complemented
437	#421	—	11	2	no	—
438	#421	—	11	2	no	—
439	#421	—	11	8	no	—
440	C₂×#104	—	11	2	no	—
441	C₂×#104	—	11	8	no	—
442	C₂×#104	C₂×D₁₁	1	2	yes	complemented
443	#405	—	11	1	no	—
444	#405	—	11	1	no	—
445	#405	—	11	2	no	—
446	#405	—	11	2	no	—
447	C₄×M₁₆	—	11	1	no	—
448	C₄×M₁₆	—	11	2	no	—
449	C₂×C₄×C₈	—	11	2	no	—
450	C₂×C₄×C₈	C₂×D₁₁	1	1	yes	characteristic, complemented
451	C₂²×C₁₁	—	2	4	no	—
452	C₂²×C₁₁	—	4	1	no	—
453	C₂²×C₁₁	—	8	2	no	—
454	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
455	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
456	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
457	C₂×D₁₁	—	2	4	no	—
458	C₂×D₁₁	—	4	2	no	—
459	C₂×D₁₁	—	8	8	no	—
460	C₂×D₁₁	—	8	2	no	—
461	C₂×D₁₁	C₂×C₄×D₄	1	4	yes	—
462	C₄×C₁₁	—	2	2	no	—
463	C₄×C₁₁	—	2	4	no	—
464	C₄×C₁₁	—	4	1	no	—
465	C₄×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
466	C₄×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
467	C₄×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
468	C₄×C₁₁	C₂³×D₄	1	1	yes	characteristic
469	Dic₁₁	—	2	4	no	—
470	Dic₁₁	—	4	2	no	—
471	Dic₁₁	C₂×C₄×D₄	1	4	yes	—
472	2₋¹⁺⁴	—	11	4	no	—
473	2₋¹⁺⁴	—	11	4	no	—
474	2₋¹⁺⁴	—	22	2	no	—
475	H(5,𝔽₂)	—	11	4	no	—
476	H(5,𝔽₂)	—	11	4	no	—
477	H(5,𝔽₂)	—	22	4	no	—
478	H(5,𝔽₂)	—	22	2	no	—
479	C₂×#41	—	11	1	no	—
480	C₂×#41	—	11	8	no	—
481	C₂×#41	—	11	2	no	—
482	C₂×#41	—	22	4	no	—
483	C₂×#41	—	22	4	no	—
484	C₂×#41	C₂²×D₁₁	1	2	yes	—
485	#137	—	11	4	no	—
486	#137	—	11	4	no	—
487	#137	—	11	8	no	—
488	#137	—	11	8	no	—
489	AGL(1,ℤ/8)	—	11	4	no	—
490	AGL(1,ℤ/8)	—	11	4	no	—
491	AGL(1,ℤ/8)	—	11	8	no	—
492	AGL(1,ℤ/8)	—	11	8	no	—
493	#135	—	11	8	no	—
494	#135	—	11	4	no	—
495	#135	—	11	8	no	—
496	#135	—	11	4	no	—
497	#135	—	11	2	no	—
498	#135	—	11	2	no	—
499	#135	—	11	2	no	—
500	#135	—	11	2	no	—
501	#135	C₄×D₁₁	1	2	yes	complemented
502	#135	C₄×D₁₁	1	2	yes	complemented
503	#135	C₂²×D₁₁	1	2	yes	—
504	#135	C₂²×D₁₁	1	2	yes	—
505	C₂×Q₁₆	—	11	4	no	—
506	C₂×Q₁₆	—	11	1	no	—
507	C₂×Q₁₆	C₄×D₁₁	1	1	yes	characteristic, complemented
508	C₂×SD₁₆	—	11	8	no	—
509	C₂×SD₁₆	—	11	2	no	—
510	C₂×SD₁₆	C₄×D₁₁	1	2	yes	complemented
511	C₂×D₈	—	11	4	no	—
512	C₂×D₈	—	11	1	no	—
513	C₂×D₈	C₄×D₁₁	1	1	yes	characteristic, complemented
514	#131	—	2	2	no	—
515	#131	—	2	2	no	—
516	#131	—	11	2	no	—
517	#131	—	11	2	no	—
518	#131	—	11	2	no	—
519	#131	—	11	2	no	—
520	#131	—	11	2	no	—
521	#131	—	11	2	no	—
522	#131	—	11	2	no	—
523	#131	—	11	2	no	—
524	#131	—	11	8	no	—
525	#131	—	11	8	no	—
526	#131	—	11	4	no	—
527	#131	—	11	4	no	—
528	#131	—	22	8	no	—
529	#131	—	22	4	no	—
530	#131	—	22	8	no	—
531	#131	—	22	4	no	—
532	#131	—	22	8	no	—
533	#131	—	22	8	no	—
534	#131	—	22	4	no	—
535	#131	—	22	4	no	—
536	#131	—	22	2	no	—
537	#131	—	22	2	no	—
538	#131	C₂²×D₁₁	1	4	yes	—
539	#131	C₂²×D₁₁	1	4	yes	—
540	C₂×M₁₆	—	2	2	no	—
541	C₂×M₁₆	—	11	1	no	—
542	C₂×M₁₆	—	11	1	no	—
543	C₂×M₁₆	—	11	2	no	—
544	C₂×M₁₆	—	11	2	no	—
545	C₂×M₁₆	—	11	2	no	—
546	C₂×M₁₆	—	11	8	no	—
547	C₂×M₁₆	—	22	8	no	—
548	C₂×M₁₆	—	22	8	no	—
549	C₂×M₁₆	—	22	4	no	—
550	C₂×M₁₆	—	22	8	no	—
551	C₂×M₁₆	—	22	4	no	—
552	C₂×M₁₆	—	22	2	no	—
553	C₂×M₁₆	C₂²×D₁₁	1	2	yes	—
554	C₂²×C₈	—	2	2	no	—
555	C₂²×C₈	—	11	2	no	—
556	C₂²×C₈	—	11	2	no	—
557	C₂²×C₈	—	22	8	no	—
558	C₂²×C₈	—	22	2	no	—
559	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
560	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
561	C₄×Q₈	—	22	1	no	—
562	C₄×D₄	—	22	1	no	—
563	C₄×D₄	—	22	2	no	—
564	#117	—	11	1	no	—
565	#117	—	11	2	no	—
566	C₂×C₄²	—	11	2	no	—
567	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
568	#108	—	11	8	no	—
569	#108	—	11	2	no	—
570	#108	—	11	2	no	—
571	#108	C₂²×D₁₁	1	2	yes	—
572	#108	C₂²×D₁₁	1	2	yes	—
573	#104	—	11	8	no	—
574	#104	—	11	8	no	—
575	#104	—	11	4	no	—
576	#104	—	11	4	no	—
577	#104	C₂²×D₁₁	1	4	yes	—
578	#104	C₂²×D₁₁	1	4	yes	—
579	#97	—	11	2	no	—
580	#97	—	11	2	no	—
581	#97	—	11	2	no	—
582	C₄×C₈	—	11	2	no	—
583	C₄×C₈	—	11	2	no	—
584	C₄×C₈	—	11	2	no	—
585	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
586	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
587	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
588	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
589	C₂×C₁₁	—	2	1	no	—
590	C₂×C₁₁	—	2	1	no	—
591	C₂×C₁₁	—	2	1	no	—
592	C₂×C₁₁	—	4	4	no	—
593	C₂×C₁₁	C₂²×C₄×D₄	1	1	yes	characteristic
594	D₁₁	—	2	4	no	—
595	D₁₁	—	4	4	no	—
596	#41	—	2	2	no	—
597	#41	—	2	2	no	—
598	#41	—	11	2	no	—
599	#41	—	11	2	no	—
600	#41	—	11	2	no	—
601	#41	—	11	2	no	—
602	#41	—	11	8	no	—
603	#41	—	11	8	no	—
604	#41	—	11	4	no	—
605	#41	—	11	4	no	—
606	#41	—	22	8	no	—
607	#41	—	22	8	no	—
608	#41	—	22	4	no	—
609	#41	—	22	4	no	—
610	#41	—	22	8	no	—
611	#41	—	22	8	no	—
612	#41	—	22	4	no	—
613	#41	—	22	4	no	—
614	#41	—	22	2	no	—
615	#41	—	22	2	no	—
616	#41	C₂×C₄×D₁₁	1	4	yes	—
617	#41	C₂³×D₁₁	1	4	yes	—
618	C₂×Q₈	—	11	1	no	—
619	C₂×Q₈	—	11	8	no	—
620	C₂×Q₈	—	11	2	no	—
621	C₂×Q₈	—	22	4	no	—
622	C₂×Q₈	—	22	4	no	—
623	C₂×Q₈	C₂×C₄×D₁₁	1	2	yes	—
624	C₂×D₄	—	2	2	no	—
625	C₂×D₄	—	11	2	no	—
626	C₂×D₄	—	11	8	no	—
627	C₂×D₄	—	11	2	no	—
628	C₂×D₄	—	11	1	no	—
629	C₂×D₄	—	22	4	no	—
630	C₂×D₄	—	22	8	no	—
631	C₂×D₄	—	22	4	no	—
632	C₂×D₄	—	22	8	no	—
633	C₂×D₄	—	22	8	no	—
634	C₂×D₄	—	22	2	no	—
635	C₂×D₄	C₂×C₄×D₁₁	1	2	yes	—
636	C₂²×C₄	—	2	2	no	—
637	C₂²×C₄	—	2	1	no	—
638	C₂²×C₄	—	11	2	no	—
639	C₂²×C₄	—	22	8	no	—
640	C₂²×C₄	—	22	2	no	—
641	C₂²×C₄	—	22	2	no	—
642	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
643	Q₁₆	—	11	8	no	—
644	Q₁₆	—	11	2	no	—
645	Q₁₆	—	11	2	no	—
646	Q₁₆	C₂×C₄×D₁₁	1	2	yes	—
647	Q₁₆	C₂×C₄×D₁₁	1	2	yes	—
648	SD₁₆	—	11	8	no	—
649	SD₁₆	—	11	8	no	—
650	SD₁₆	—	11	4	no	—
651	SD₁₆	—	11	4	no	—
652	SD₁₆	C₂×C₄×D₁₁	1	4	yes	—
653	SD₁₆	C₂×C₄×D₁₁	1	4	yes	—
654	D₈	—	11	8	no	—
655	D₈	—	11	2	no	—
656	D₈	—	11	2	no	—
657	D₈	C₂×C₄×D₁₁	1	2	yes	—
658	D₈	C₂×C₄×D₁₁	1	2	yes	—
659	M₁₆	—	2	2	no	—
660	M₁₆	—	2	4	no	—
661	M₁₆	—	2	4	no	—
662	M₁₆	—	11	2	no	—
663	M₁₆	—	11	2	no	—
664	M₁₆	—	11	2	no	—
665	M₁₆	—	11	2	no	—
666	M₁₆	—	11	4	no	—
667	M₁₆	—	11	4	no	—
668	M₁₆	—	11	4	no	—
669	M₁₆	—	11	4	no	—
670	M₁₆	—	11	4	no	—
671	M₁₆	—	22	8	no	—
672	M₁₆	—	22	8	no	—
673	M₁₆	—	22	8	no	—
674	M₁₆	—	22	2	no	—
675	M₁₆	—	22	4	no	—
676	M₁₆	—	22	4	no	—
677	M₁₆	C₂³×D₁₁	1	4	yes	—
678	C₂×C₈	—	2	2	no	—
679	C₂×C₈	—	2	4	no	—
680	C₂×C₈	—	2	4	no	—
681	C₂×C₈	—	11	2	no	—
682	C₂×C₈	—	11	2	no	—
683	C₂×C₈	—	11	4	no	—
684	C₂×C₈	—	11	4	no	—
685	C₂×C₈	—	11	4	no	—
686	C₂×C₈	—	11	4	no	—
687	C₂×C₈	—	22	8	no	—
688	C₂×C₈	—	22	8	no	—
689	C₂×C₈	—	22	8	no	—
690	C₂×C₈	—	22	2	no	—
691	C₂×C₈	—	22	4	no	—
692	C₂×C₈	—	22	4	no	—
693	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
694	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
695	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
696	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
697	C₂×C₈	D₄×D₁₁	1	1	yes	characteristic
698	C₂×C₈	D₄×D₁₁	1	1	yes	characteristic
699	C₂×C₈	D₄×D₁₁	1	1	yes	characteristic
700	C₂×C₈	D₄×D₁₁	1	1	yes	characteristic
701	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
702	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
703	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
704	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
705	C₄⋊C₄	—	22	2	no	—
706	C₄⋊C₄	—	22	1	no	—
707	C₂²⋊C₄	—	22	2	no	—
708	C₂²⋊C₄	—	22	1	no	—
709	C₄²	—	2	1	no	—
710	C₄²	—	11	2	no	—
711	C₄²	—	22	2	no	—
712	C₄²	C₂³×D₁₁	1	1	yes	characteristic
713	C₄²	C₂³×D₁₁	1	1	yes	characteristic
714	C₁₁	#60183	1	1	yes	characteristic, complemented, Sylow
715	C₂³	—	2	2	no	—
716	C₂³	—	11	2	no	—
717	C₂³	—	22	8	no	—
718	C₂³	—	22	2	no	—
719	C₂³	#41×D₁₁	1	1	yes	characteristic
720	Q₈	—	2	2	no	—
721	Q₈	—	11	2	no	—
722	Q₈	—	11	2	no	—
723	Q₈	—	11	4	no	—
724	Q₈	—	22	8	no	—
725	Q₈	—	22	2	no	—
726	Q₈	C₂²×C₄×D₁₁	1	4	yes	—
727	D₄	—	2	4	no	—
728	D₄	—	2	4	no	—
729	D₄	—	2	2	no	—
730	D₄	—	11	4	no	—
731	D₄	—	11	4	no	—
732	D₄	—	11	2	no	—
733	D₄	—	11	2	no	—
734	D₄	—	11	4	no	—
735	D₄	—	22	8	no	—
736	D₄	—	22	8	no	—
737	D₄	—	22	8	no	—
738	D₄	—	22	4	no	—
739	D₄	—	22	4	no	—
740	D₄	—	22	2	no	—
741	D₄	C₂²×C₄×D₁₁	1	4	yes	—
742	C₂×C₄	—	2	2	no	—
743	C₂×C₄	—	2	1	no	—
744	C₂×C₄	—	2	4	no	—
745	C₂×C₄	—	2	4	no	—
746	C₂×C₄	—	2	1	no	—
747	C₂×C₄	—	4	2	no	—
748	C₂×C₄	—	11	2	no	—
749	C₂×C₄	—	11	4	no	—
750	C₂×C₄	—	11	4	no	—
751	C₂×C₄	—	22	8	no	—
752	C₂×C₄	—	22	8	no	—
753	C₂×C₄	—	22	8	no	—
754	C₂×C₄	—	22	2	no	—
755	C₂×C₄	—	22	4	no	—
756	C₂×C₄	—	22	4	no	—
757	C₂×C₄	—	22	2	no	—
758	C₂×C₄	—	44	4	no	—
759	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
760	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
761	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
762	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
763	C₂×C₄	#41×D₁₁	1	1	yes	characteristic
764	C₂×C₄	C₂⁴×D₁₁	1	1	yes	characteristic
765	C₈	—	2	4	no	—
766	C₈	—	11	4	no	—
767	C₈	—	11	4	no	—
768	C₈	—	22	4	no	—
769	C₈	C₂²×C₄×D₁₁	1	1	yes	characteristic
770	C₈	C₂²×C₄×D₁₁	1	1	yes	characteristic
771	C₈	C₂²×C₄×D₁₁	1	1	yes	characteristic
772	C₈	C₂²×C₄×D₁₁	1	1	yes	characteristic
773	C₈	C₂×D₄×D₁₁	1	1	yes	characteristic
774	C₈	C₂×D₄×D₁₁	1	1	yes	characteristic
775	C₈	C₂×D₄×D₁₁	1	1	yes	characteristic
776	C₈	C₂×D₄×D₁₁	1	1	yes	characteristic
777	C₂²	—	2	4	no	—
778	C₂²	—	4	1	no	—
779	C₂²	—	8	2	no	—
780	C₂²	—	11	4	no	—
781	C₂²	—	22	4	no	—
782	C₂²	—	44	2	no	—
783	C₂²	—	88	2	no	—
784	C₂²	—	88	8	no	—
785	C₂²	C₄×D₄×D₁₁	1	1	yes	characteristic
786	C₂²	C₄×D₄×D₁₁	1	1	yes	characteristic
787	C₂²	C₂×#41×D₁₁	1	1	yes	characteristic
788	C₄	—	2	2	no	—
789	C₄	—	2	4	no	—
790	C₄	—	4	1	no	—
791	C₄	—	11	4	no	—
792	C₄	—	22	4	no	—
793	C₄	—	44	2	no	—
794	C₄	C₄×D₄×D₁₁	1	1	yes	characteristic
795	C₄	C₄×D₄×D₁₁	1	1	yes	characteristic
796	C₄	C₂³×C₄×D₁₁	1	1	yes	characteristic
797	C₄	C₂²×D₄×D₁₁	1	1	yes	characteristic
798	C₂	—	2	1	no	—
799	C₂	—	2	1	no	—
800	C₂	—	2	1	no	—
801	C₂	—	4	4	no	—
802	C₂	—	22	4	no	—
803	C₂	—	44	4	no	—
804	C₂	C₂×C₄×D₄×D₁₁	1	1	yes	characteristic

	subgroup	G/H
center	C₈	C₂×D₄×D₁₁
commutator	C₄×C₁₁	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₁₁
Fitting	C₂×C₁₁×#443	C₂
socle	C₂×C₁₁	C₂²×C₄×D₄
prime radical	#13083385	C₂
cosocle	C₂×C₄×C₁₁	C₂⁵
hypercenter	C₂×#443	D₁₁
hypocenter	C₁₁	#60183
LCS	G ▷ C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₈ ◁ C₂²×C₈ ◁ C₂×#443

Complements

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

N	H ≅ G/N	type
2. #13083327	C₂	semidirect
3. #13077533	C₂	semidirect
4. #13077532	C₂	semidirect
5. #13077528	C₂	semidirect
6. #13077522	C₂	semidirect
7. #13077521	C₂	semidirect
8. #13077517	C₂	semidirect
9. #13077514	C₂	semidirect
10. C₂×#10622313	C₂	semidirect
11. D₁₁×#443	C₂	semidirect
12. #13077224	C₂	semidirect
13. #13077160	C₂	semidirect
14. C₄×#66954	C₂	semidirect
15. C₂×C₁₁×#443	C₂	semidirect
18. C₂×C₁₁×#131	C₂²	semidirect
20. #10623350	C₂²	semidirect
21. #10623302	C₄	semidirect
22. #10623301	C₄	semidirect
23. #10623300	C₄	semidirect
26. #10623297	C₄	semidirect
27. #10623293	C₄	semidirect
28. #10623288	C₄	semidirect
30. #10623281	C₂²	semidirect
32. D₁₁×#131	C₂²	semidirect
35. #10623276	C₂²	semidirect
40. C₂×#66954	C₂²	semidirect
42. C₁₁×#443	C₂²	semidirect
43. C₁₁×#443	C₂²	semidirect
44. C₁₁×#443	C₂²	semidirect
45. C₁₁×#443	C₂²	semidirect
46. C₂×C₁₁×#108	C₂²	semidirect
47. C₂×C₁₁×#104	C₂²	semidirect
48. C₂×C₄×C₈×C₁₁	C₂²	semidirect
49. #10622849	C₂²	semidirect
50. #10622810	C₂²	semidirect
51. #10622809	C₂²	semidirect
52. #10622758	C₂²	semidirect
53. #10622757	C₂²	semidirect
54. #10622752	C₂²	semidirect
55. #10622737	C₂²	semidirect
56. C₂×#66883	C₂²	semidirect
57. #10622714	C₂²	semidirect
58. #10622714	C₂²	semidirect
59. C₂×#66869	C₂²	semidirect
60. C₄×#4318	C₂²	semidirect
61. #10622508	C₂²	semidirect
62. #10622507	C₂²	semidirect
63. #10622506	C₂²	semidirect
64. D₁₁×#108	C₂²	semidirect
65. #10622437	C₂²	semidirect
66. #10622436	C₂²	semidirect
67. #10622434	C₂²	semidirect
68. D₁₁×#104	C₂²	semidirect
69. #10622313	C₂²	semidirect
70. #10622313	C₂²	semidirect
71. #10622313	C₂²	semidirect
72. #10622313	C₂²	semidirect
73. #10622302	C₂²	semidirect
74. #10622302	C₂²	semidirect
75. C₄×#4313	C₂²	semidirect
76. C₄×C₈×D₁₁	C₂²	semidirect
90. C₁₁×#135	C₂×C₄	semidirect
91. C₁₁×#135	C₂×C₄	semidirect
94. C₂×C₁₁×Q₁₆	C₂×C₄	semidirect
95. C₂×C₁₁×SD₁₆	C₂×C₄	semidirect
96. C₂×C₁₁×D₈	C₂×C₄	semidirect
107. #67004	C₂×C₄	semidirect
109. #67002	C₂×C₄	semidirect
112. #66995	C₂×C₄	semidirect
113. #66985	C₂×C₄	semidirect
120. #66972	C₂×C₄	semidirect
121. #66971	C₂×C₄	semidirect
122. Q₁₆×D₁₁	C₂×C₄	semidirect
123. #66969	C₂×C₄	semidirect
124. #66968	C₂×C₄	semidirect
125. #66967	C₂×C₄	semidirect
126. SD₁₆×D₁₁	C₂×C₄	semidirect
127. #66965	C₂×C₄	semidirect
128. #66964	C₂×C₄	semidirect
129. D₈×D₁₁	C₂×C₄	semidirect
138. C₂×Dic₄₄	C₂×C₄	semidirect
139. #66957	C₂×C₄	semidirect
140. #66957	C₂×C₄	semidirect
143. C₂×D₈₈	C₂×C₄	semidirect
144. C₂×#4314	C₂×C₄	semidirect
324. C₂×#443	D₁₁	semidirect
414. C₂×#131	C₂×D₁₁	semidirect
428. #443	C₂×D₁₁	semidirect
429. #443	C₂×D₁₁	semidirect
430. #443	C₂×D₁₁	semidirect
431. #443	C₂×D₁₁	semidirect
436. C₂×#108	C₂×D₁₁	semidirect
442. C₂×#104	C₂×D₁₁	semidirect
450. C₂×C₄×C₈	C₂×D₁₁	semidirect
501. #135	C₄×D₁₁	semidirect
502. #135	C₄×D₁₁	semidirect
507. C₂×Q₁₆	C₄×D₁₁	semidirect
510. C₂×SD₁₆	C₄×D₁₁	semidirect
513. C₂×D₈	C₄×D₁₁	semidirect
714. C₁₁	#60183	semidirect

Maximal subgroups

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

subgroup	index
#13083385	2
#13083327	2
#13077533	2
#13077532	2
#13077528	2
#13077522	2
#13077521	2
#13077517	2
#13077514	2
C₂×#10622313	2
D₁₁×#443	2
#13077224	2
#13077160	2
C₄×#66954	2
C₂×C₁₁×#443	2
#60183	11