Subgroups — #15620027

Order 2816.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1090 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13077786	C₂	1	2	yes	maximal, complemented
2	#13077786	C₂	1	2	yes	maximal, complemented
3	#13077776	C₂	1	1	yes	maximal, characteristic, complemented
4	#13077765	C₂	1	2	yes	maximal, complemented
5	#13077765	C₂	1	1	yes	maximal, characteristic, complemented
6	#13077748	C₂	1	1	yes	maximal, characteristic, complemented
7	#13077733	C₂	1	1	yes	maximal, characteristic, complemented
8	#13077718	C₂	1	1	yes	maximal, characteristic, complemented
9	#13077711	C₂	1	1	yes	maximal, characteristic, complemented
10	#13077711	C₂	1	2	yes	maximal, complemented
11	#13077705	C₂	1	1	yes	maximal, characteristic, complemented
12	#13077630	C₂	1	1	yes	maximal, characteristic, complemented
13	#13077621	C₂	1	1	yes	maximal, characteristic, complemented
14	#13077621	C₂	1	2	yes	maximal, complemented
15	#13077612	C₂	1	2	yes	maximal, complemented
16	#13077603	C₂	1	2	yes	maximal, complemented
17	#13077592	C₂	1	1	yes	maximal, characteristic, complemented
18	#13077583	C₂	1	1	yes	maximal, characteristic, complemented
19	Q₈×#4318	C₂	1	1	yes	maximal, characteristic, complemented
20	#13077565	C₂	1	1	yes	maximal, characteristic, complemented
21	#13077557	C₂	1	2	yes	maximal, complemented
22	#13077551	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₁×#3461	C₂	1	1	yes	maximal, characteristic
24	C₁₁×#544	C₄	1	1	yes	characteristic
25	C₁₁×#542	C₄	1	1	yes	characteristic
26	C₁₁×#542	C₄	1	1	yes	characteristic
27	C₁₁×#542	C₄	1	2	yes	—
28	C₁₁×#541	C₄	1	1	yes	characteristic
29	C₁₁×#541	C₄	1	1	yes	characteristic
30	C₁₁×#541	C₄	1	2	yes	—
31	C₁₁×#539	C₄	1	2	yes	—
32	C₁₁×#539	C₄	1	2	yes	—
33	C₁₁×#537	C₄	1	1	yes	characteristic
34	C₁₁×#536	C₄	1	1	yes	characteristic
35	C₁₁×#536	C₄	1	1	yes	characteristic
36	C₁₁×#533	C₂²	1	1	yes	characteristic
37	C₁₁×#533	C₂²	1	2	yes	—
38	C₁₁×#533	C₂²	1	1	yes	characteristic
39	C₁₁×#529	C₂²	1	1	yes	characteristic
40	C₁₁×#529	C₂²	1	2	yes	—
41	C₁₁×#529	C₂²	1	1	yes	characteristic
42	C₁₁×#529	C₂²	1	2	yes	—
43	C₁₁×#529	C₂²	1	2	yes	—
44	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
45	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
46	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
47	#10622637	C₂²	1	2	yes	—
48	#10622637	C₂²	1	1	yes	characteristic
49	#10622637	C₂²	1	1	yes	characteristic
50	#10622637	C₂²	1	2	yes	—
51	#10622637	C₂²	1	2	yes	—
52	#10622637	C₂²	1	2	yes	—
53	#10622637	C₂²	1	2	yes	—
54	#10622637	C₂²	1	2	yes	—
55	#10622637	C₂²	1	1	yes	characteristic
56	#10622637	C₂²	1	1	yes	characteristic
57	#10622637	C₂²	1	1	yes	characteristic
58	#10622637	C₂²	1	2	yes	—
59	#10622637	C₂²	1	2	yes	—
60	#10622637	C₂²	1	2	yes	—
61	#10622637	C₂²	1	1	yes	characteristic
62	#10622637	C₂²	1	1	yes	characteristic
63	#10622637	C₂²	1	2	yes	—
64	#10622637	C₂²	1	2	yes	—
65	#10622637	C₂²	1	1	yes	characteristic
66	Q₈×C₁₁⋊C₈	C₂²	1	2	yes	—
67	Q₈×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
68	Q₈×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
69	Q₈×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
70	Q₈×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
71	Q₈×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
72	Q₈×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
73	Q₈×C₁₁⋊C₈	C₂²	1	2	yes	—
74	#10622625	C₂²	1	1	yes	characteristic
75	#10622625	C₂²	1	2	yes	—
76	#10622625	C₂²	1	2	yes	—
77	#10622625	C₂²	1	1	yes	characteristic
78	#10622625	C₂²	1	2	yes	—
79	#10622625	C₂²	1	1	yes	characteristic
80	#10622625	C₂²	1	2	yes	—
81	#10622625	C₂²	1	2	yes	—
82	#10622625	C₂²	1	1	yes	characteristic
83	#10622624	C₂²	1	2	yes	—
84	#10622624	C₂²	1	2	yes	—
85	#10622624	C₂²	1	2	yes	—
86	#10622624	C₂²	1	2	yes	—
87	#10622624	C₂²	1	1	yes	characteristic
88	#10622624	C₂²	1	1	yes	characteristic
89	#10622624	C₂²	1	2	yes	—
90	#10622624	C₂²	1	2	yes	—
91	#10622624	C₂²	1	1	yes	characteristic
92	#10622624	C₂²	1	1	yes	characteristic
93	#10622624	C₂²	1	2	yes	—
94	#10622624	C₂²	1	2	yes	—
95	D₄×C₁₁⋊C₈	C₂²	1	2	yes	—
96	D₄×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
97	D₄×C₁₁⋊C₈	C₂²	1	2	yes	—
98	D₄×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
99	#10622613	C₂²	1	2	yes	—
100	#10622613	C₂²	1	2	yes	—
101	#10622613	C₂²	1	2	yes	—
102	#10622613	C₂²	1	2	yes	—
103	#10622613	C₂²	1	2	yes	—
104	#10622613	C₂²	1	2	yes	—
105	#10622613	C₂²	1	2	yes	—
106	#10622613	C₂²	1	2	yes	—
107	#10622612	C₂²	1	2	yes	—
108	#10622612	C₂²	1	2	yes	—
109	#10622612	C₂²	1	2	yes	—
110	#10622612	C₂²	1	2	yes	—
111	#10622610	C₂²	1	2	yes	—
112	#10622610	C₂²	1	2	yes	—
113	#10622610	C₂²	1	2	yes	—
114	#10622610	C₂²	1	2	yes	—
115	#10622539	C₂²	1	2	yes	—
116	#10622539	C₂²	1	2	yes	—
117	#10622539	C₂²	1	1	yes	characteristic
118	#10622539	C₂²	1	1	yes	characteristic
119	#10622538	C₂²	1	1	yes	characteristic
120	#10622538	C₂²	1	2	yes	—
121	#10622538	C₂²	1	1	yes	characteristic
122	#10622538	C₂²	1	1	yes	characteristic
123	#10622538	C₂²	1	2	yes	—
124	#10622538	C₂²	1	1	yes	characteristic
125	#10622537	C₂²	1	2	yes	—
126	#10622537	C₂²	1	1	yes	characteristic
127	#10622537	C₂²	1	2	yes	—
128	#10622537	C₂²	1	1	yes	characteristic
129	C₂×C₄⋊(C₁₁⋊C₈)	C₂²	1	1	yes	characteristic
130	C₄×#4318	C₂²	1	1	yes	characteristic
131	C₄×#4318	C₂²	1	1	yes	characteristic
132	C₄×#4318	C₂²	1	2	yes	—
133	C₂×#66867	C₂²	1	2	yes	—
134	C₂×C₄×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
135	C₂×C₁₁×#41	C₂×C₄	1	1	yes	characteristic
136	C₂×C₁₁×#41	C₂×C₄	1	1	yes	characteristic
137	C₂²×Q₈×C₁₁	C₂×C₄	1	1	yes	characteristic
138	C₁₁×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
139	C₁₁×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
140	C₁₁×C₄⋊Q₈	C₂×C₄	1	2	yes	—
141	C₁₁×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
142	C₁₁×C₄⋊Q₈	C₂×C₄	1	2	yes	—
143	C₁₁×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
144	C₁₁×#126	C₂×C₄	1	2	yes	—
145	C₁₁×#126	C₂×C₄	1	2	yes	—
146	C₁₁×#126	C₂×C₄	1	2	yes	—
147	C₁₁×#126	C₂×C₄	1	2	yes	—
148	C₁₁×#126	C₂×C₄	1	2	yes	—
149	C₁₁×#126	C₂×C₄	1	2	yes	—
150	C₁₁×#126	C₂×C₄	1	2	yes	—
151	C₁₁×#126	C₂×C₄	1	2	yes	—
152	C₁₁×#125	C₂×C₄	1	2	yes	—
153	C₁₁×#125	C₂×C₄	1	2	yes	—
154	C₁₁×#125	C₂×C₄	1	1	yes	characteristic
155	C₁₁×#125	C₂×C₄	1	1	yes	characteristic
156	C₁₁×#125	C₂×C₄	1	2	yes	—
157	C₁₁×#125	C₂×C₄	1	2	yes	—
158	C₁₁×#125	C₂×C₄	1	2	yes	—
159	C₁₁×#125	C₂×C₄	1	2	yes	—
160	C₁₁×#125	C₂×C₄	1	2	yes	—
161	C₁₁×#124	C₂×C₄	1	1	yes	characteristic
162	C₁₁×#124	C₂×C₄	1	1	yes	characteristic
163	C₁₁×#124	C₂×C₄	1	2	yes	—
164	C₁₁×#124	C₂×C₄	1	2	yes	—
165	C₁₁×#124	C₂×C₄	1	2	yes	—
166	C₁₁×#123	C₂×C₄	1	2	yes	—
167	C₁₁×#123	C₂×C₄	1	2	yes	—
168	C₁₁×#123	C₂×C₄	1	2	yes	—
169	C₁₁×#123	C₂×C₄	1	2	yes	—
170	C₁₁×#123	C₂×C₄	1	2	yes	—
171	C₁₁×#123	C₂×C₄	1	2	yes	—
172	C₁₁×#123	C₂×C₄	1	2	yes	—
173	C₁₁×#123	C₂×C₄	1	2	yes	—
174	C₁₁×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
175	C₁₁×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
176	C₁₁×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
177	C₁₁×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
178	C₁₁×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
179	C₁₁×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
180	C₁₁×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
181	C₁₁×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
182	C₁₁×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
183	C₁₁×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
184	C₁₁×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
185	C₁₁×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
186	C₁₁×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
187	C₁₁×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
188	C₁₁×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
189	C₁₁×#121	C₂×C₄	1	2	yes	—
190	C₁₁×#121	C₂×C₄	1	2	yes	—
191	C₁₁×#121	C₂×C₄	1	1	yes	characteristic
192	C₁₁×#121	C₂×C₄	1	1	yes	characteristic
193	C₁₁×#121	C₂×C₄	1	2	yes	—
194	C₄×Q₈×C₁₁	C₂×C₄	1	1	yes	characteristic
195	C₄×Q₈×C₁₁	C₂×C₄	1	1	yes	characteristic
196	C₄×Q₈×C₁₁	C₂×C₄	1	2	yes	—
197	C₄×Q₈×C₁₁	C₂×C₄	1	1	yes	characteristic
198	C₄×Q₈×C₁₁	C₂×C₄	1	1	yes	characteristic
199	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
200	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
201	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
202	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
203	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
204	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
205	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
206	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
207	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
208	C₄×D₄×C₁₁	C₂×C₄	1	2	yes	—
209	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
210	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
211	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
212	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
213	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
214	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
215	C₄×D₄×C₁₁	C₂³	1	2	yes	—
216	C₄×D₄×C₁₁	C₂³	1	2	yes	—
217	C₄×D₄×C₁₁	C₂³	1	2	yes	—
218	C₁₁×#117	C₂×C₄	1	1	yes	characteristic
219	C₁₁×#117	C₂×C₄	1	1	yes	characteristic
220	C₁₁×#117	C₂×C₄	1	1	yes	characteristic
221	C₁₁×#117	C₂×C₄	1	1	yes	characteristic
222	C₁₁×#117	C₂×C₄	1	2	yes	—
223	C₁₁×#117	C₂³	1	2	yes	—
224	C₁₁×#117	C₂³	1	2	yes	—
225	C₁₁×#117	C₂³	1	2	yes	—
226	C₁₁×#117	C₂³	1	2	yes	—
227	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
228	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
229	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
231	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
234	C₂×#4318	C₂³	1	1	yes	characteristic
235	C₂×#4318	C₂³	1	1	yes	characteristic
236	C₂×#4318	C₂³	1	1	yes	characteristic
237	C₂×#4318	C₂³	1	2	yes	—
238	C₂×#4318	C₂³	1	1	yes	characteristic
239	C₂×#4318	C₂³	1	2	yes	—
240	C₂×#4318	C₂³	1	2	yes	—
241	C₂×#4318	C₂³	1	2	yes	—
242	C₂²×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
243	C₂²×C₁₁⋊C₈	C₂³	1	2	yes	—
244	C₂²×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
245	C₂²×C₁₁⋊C₈	C₂³	1	2	yes	—
246	C₂²×C₁₁⋊C₈	C₂³	1	2	yes	—
247	C₂²⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
248	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
249	C₂²⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
250	C₂²⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
251	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
252	C₂²⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
253	C₂²⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
254	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
255	C₂²⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
256	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
257	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
258	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
259	C₂²⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
260	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
261	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
262	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
263	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
264	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
265	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
266	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
267	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
268	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
269	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
270	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
271	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
272	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
273	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
274	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
275	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
276	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
277	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
278	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
279	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
280	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
281	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
282	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
283	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
284	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
285	#66867	C₂³	1	1	yes	characteristic
286	#66867	C₂³	1	2	yes	—
287	#66867	C₂³	1	2	yes	—
288	#66867	C₂³	1	2	yes	—
289	#66867	C₂³	1	1	yes	characteristic
290	#66867	C₂³	1	1	yes	characteristic
291	#66867	C₂³	1	2	yes	—
292	#66867	C₂³	1	1	yes	characteristic
293	#66867	C₂³	1	2	yes	—
294	#66867	C₂³	1	2	yes	—
295	#66867	C₂³	1	2	yes	—
296	#66867	C₂³	1	2	yes	—
297	C₄×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
298	C₄×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
299	C₄×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
300	C₄×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
301	C₄×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
302	C₄×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
303	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
304	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
305	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
306	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
307	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
308	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
309	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
310	#60344	—	11	1	no	maximal, Sylow
311	C₁₁×#41	—	4	2	no	—
312	C₁₁×#41	—	4	2	no	—
313	C₂×Q₈×C₁₁	—	4	2	no	—
314	C₂×Q₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
315	C₂×Q₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
316	C₂×Q₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
317	C₂×Q₈×C₁₁	C₂²×C₄	1	2	yes	—
318	C₂×Q₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
319	C₂×Q₈×C₁₁	C₂²×C₄	1	2	yes	—
320	C₂×Q₈×C₁₁	C₂²×C₄	1	2	yes	—
321	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
322	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
323	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
324	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
325	C₂×D₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
326	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
327	C₂×D₄×C₁₁	C₂²×C₄	1	2	yes	—
328	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
329	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
330	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
331	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
332	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
333	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
334	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
335	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
336	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
337	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
338	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
339	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
340	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
341	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
342	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
343	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
344	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
345	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
346	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
347	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
348	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
349	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
350	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
351	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
352	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
353	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
354	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
355	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
356	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
357	C₁₁×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
358	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
359	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
360	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
361	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
362	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
363	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
364	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
365	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
366	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
367	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
368	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
369	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
370	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
371	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
372	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
373	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
374	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
375	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
376	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
377	C₁₁×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
378	C₁₁×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
379	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
380	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
381	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
382	C₁₁×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
383	C₁₁×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
384	C₁₁×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
385	C₁₁×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
386	C₁₁×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
387	C₁₁×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
388	C₁₁×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
389	C₁₁×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
390	C₁₁×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
391	C₁₁×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
392	C₁₁×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
393	C₁₁×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
394	C₁₁×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
395	C₁₁×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
396	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
397	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
398	C₄²×C₁₁	C₂²×C₄	1	2	yes	—
399	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
400	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
401	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
402	C₄²×C₁₁	C₂²×C₄	1	2	yes	—
403	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
404	C₄²×C₁₁	C₂²×C₄	1	2	yes	—
405	C₄²×C₁₁	C₂²×C₄	1	2	yes	—
406	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
407	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
408	C₄²×C₁₁	C₂⁴	1	2	yes	—
409	C₄²×C₁₁	C₂⁴	1	2	yes	—
410	C₄²×C₁₁	C₂⁴	1	2	yes	—
411	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
412	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
413	#4318	—	2	2	no	—
414	#4318	—	2	2	no	—
415	#4318	—	4	1	no	—
416	#4318	—	4	2	no	—
417	#4318	—	4	2	no	—
418	#4318	—	4	2	no	—
419	#4318	—	4	1	no	—
420	#4318	—	4	2	no	—
421	C₂×C₁₁⋊C₈	—	2	2	no	—
422	C₂×C₁₁⋊C₈	—	2	4	no	—
423	C₂×C₁₁⋊C₈	—	4	2	no	—
424	C₂×C₁₁⋊C₈	—	4	2	no	—
425	C₂×C₁₁⋊C₈	—	4	1	no	—
426	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
427	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
428	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
429	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
430	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
431	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
432	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
433	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
434	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
435	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
436	C₂×C₁₁⋊C₈	C₂⁴	1	2	yes	—
437	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
438	#3461	D₁₁	1	1	yes	characteristic
439	#2995	—	11	2	no	—
440	#2995	—	11	2	no	—
441	#2994	—	11	1	no	—
442	#2993	—	11	1	no	—
443	#2993	—	11	2	no	—
444	#2991	—	11	1	no	—
445	#2989	—	11	1	no	—
446	#2986	—	11	1	no	—
447	#2985	—	11	1	no	—
448	#2985	—	11	2	no	—
449	#2984	—	11	1	no	—
450	#2970	—	11	1	no	—
451	#2969	—	11	1	no	—
452	#2969	—	11	2	no	—
453	#2968	—	11	2	no	—
454	#2967	—	11	2	no	—
455	#2966	—	11	1	no	—
456	#2965	—	11	1	no	—
457	Q₈×M₁₆	—	11	1	no	—
458	#2962	—	11	1	no	—
459	#2961	—	11	2	no	—
460	#2960	—	11	1	no	—
461	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
462	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
463	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
464	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
465	Q₈×C₁₁	—	2	2	no	—
466	Q₈×C₁₁	—	2	2	no	—
467	Q₈×C₁₁	—	2	2	no	—
468	Q₈×C₁₁	—	4	2	no	—
469	Q₈×C₁₁	—	4	2	no	—
470	Q₈×C₁₁	—	4	2	no	—
471	Q₈×C₁₁	—	4	1	no	—
472	D₄×C₁₁	—	2	2	no	—
473	D₄×C₁₁	—	4	2	no	—
474	D₄×C₁₁	—	4	2	no	—
475	D₄×C₁₁	—	4	1	no	—
476	D₄×C₁₁	—	4	1	no	—
477	D₄×C₁₁	—	4	1	no	—
478	D₄×C₁₁	—	4	2	no	—
479	C₂×C₄×C₁₁	—	2	2	no	—
480	C₂×C₄×C₁₁	—	2	2	no	—
481	C₂×C₄×C₁₁	—	2	2	no	—
482	C₂×C₄×C₁₁	—	2	1	no	—
483	C₂×C₄×C₁₁	—	2	2	no	—
484	C₂×C₄×C₁₁	—	2	1	no	—
485	C₂×C₄×C₁₁	—	2	1	no	—
486	C₂×C₄×C₁₁	—	2	1	no	—
487	C₂×C₄×C₁₁	—	2	2	no	—
488	C₂×C₄×C₁₁	—	2	1	no	—
489	C₂×C₄×C₁₁	—	2	1	no	—
490	C₂×C₄×C₁₁	—	4	1	no	—
491	C₂×C₄×C₁₁	—	4	1	no	—
492	C₂×C₄×C₁₁	—	4	2	no	—
493	C₂×C₄×C₁₁	—	4	1	no	—
494	C₂×C₄×C₁₁	—	4	2	no	—
495	C₂×C₄×C₁₁	—	4	2	no	—
496	C₂×C₄×C₁₁	—	4	2	no	—
497	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
498	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
499	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
500	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
501	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
502	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
503	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
504	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
505	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
506	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
507	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
508	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
509	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
510	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
511	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
512	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
513	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
514	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
515	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
516	C₁₁⋊C₈	—	2	1	no	—
517	C₁₁⋊C₈	—	2	2	no	—
518	C₁₁⋊C₈	—	2	1	no	—
519	C₁₁⋊C₈	—	2	1	no	—
520	C₁₁⋊C₈	—	2	2	no	—
521	C₁₁⋊C₈	—	2	1	no	—
522	C₁₁⋊C₈	—	2	2	no	—
523	C₁₁⋊C₈	—	2	1	no	—
524	C₁₁⋊C₈	—	2	1	no	—
525	C₁₁⋊C₈	—	2	1	no	—
526	C₁₁⋊C₈	—	2	2	no	—
527	C₁₁⋊C₈	2₋¹⁺⁴	1	2	yes	—
528	#544	Dic₁₁	1	1	yes	characteristic
529	#542	Dic₁₁	1	1	yes	characteristic
530	#542	Dic₁₁	1	1	yes	characteristic
531	#542	Dic₁₁	1	2	yes	—
532	#541	Dic₁₁	1	1	yes	characteristic
533	#541	Dic₁₁	1	1	yes	characteristic
534	#541	Dic₁₁	1	2	yes	—
535	#539	Dic₁₁	1	2	yes	—
536	#539	Dic₁₁	1	2	yes	—
537	#537	Dic₁₁	1	1	yes	characteristic
538	#536	Dic₁₁	1	1	yes	characteristic
539	#536	Dic₁₁	1	1	yes	characteristic
540	#533	C₂×D₁₁	1	1	yes	characteristic
541	#533	C₂×D₁₁	1	2	yes	—
542	#533	C₂×D₁₁	1	1	yes	characteristic
543	#529	C₂×D₁₁	1	1	yes	characteristic
544	#529	C₂×D₁₁	1	2	yes	—
545	#529	C₂×D₁₁	1	2	yes	—
546	#529	C₂×D₁₁	1	1	yes	characteristic
547	#529	C₂×D₁₁	1	2	yes	—
548	C₄×#41	C₂×D₁₁	1	1	yes	characteristic
549	C₄×#41	C₂×D₁₁	1	1	yes	characteristic
550	C₂×C₄×Q₈	C₂×D₁₁	1	1	yes	characteristic
551	#446	—	11	2	no	—
552	#446	—	11	1	no	—
553	#446	—	11	1	no	—
554	#446	—	11	1	no	—
555	#446	—	11	2	no	—
556	#446	—	11	2	no	—
557	#446	—	11	2	no	—
558	#446	—	11	2	no	—
559	#446	—	11	2	no	—
560	#446	—	11	2	no	—
561	#446	—	11	1	no	—
562	#446	—	11	2	no	—
563	#446	—	11	1	no	—
564	#446	—	11	2	no	—
565	#446	—	11	1	no	—
566	#446	—	11	1	no	—
567	#446	—	11	2	no	—
568	#446	—	11	2	no	—
569	#446	—	11	1	no	—
570	C₈×Q₈	—	11	1	no	—
571	C₈×Q₈	—	11	2	no	—
572	C₈×Q₈	—	11	1	no	—
573	C₈×Q₈	—	11	1	no	—
574	C₈×Q₈	—	11	1	no	—
575	C₈×Q₈	—	11	1	no	—
576	C₈×Q₈	—	11	1	no	—
577	C₈×Q₈	—	11	2	no	—
578	#436	—	11	1	no	—
579	#436	—	11	1	no	—
580	#436	—	11	1	no	—
581	#436	—	11	2	no	—
582	#436	—	11	2	no	—
583	#436	—	11	1	no	—
584	#436	—	11	2	no	—
585	#436	—	11	2	no	—
586	#436	—	11	2	no	—
587	#435	—	11	1	no	—
588	#435	—	11	1	no	—
589	#435	—	11	1	no	—
590	#435	—	11	1	no	—
591	#435	—	11	2	no	—
592	#435	—	11	2	no	—
593	#435	—	11	2	no	—
594	#435	—	11	2	no	—
595	#435	—	11	2	no	—
596	#435	—	11	2	no	—
597	#435	—	11	2	no	—
598	#435	—	11	2	no	—
599	C₈×D₄	—	11	2	no	—
600	C₈×D₄	—	11	1	no	—
601	C₈×D₄	—	11	2	no	—
602	C₈×D₄	—	11	1	no	—
603	#433	—	11	2	no	—
604	#433	—	11	2	no	—
605	#433	—	11	2	no	—
606	#433	—	11	2	no	—
607	#433	—	11	2	no	—
608	#433	—	11	2	no	—
609	#433	—	11	2	no	—
610	#433	—	11	2	no	—
611	#432	—	11	1	no	—
612	#432	—	11	2	no	—
613	#432	—	11	1	no	—
614	#432	—	11	2	no	—
615	#431	—	11	1	no	—
616	#431	—	11	1	no	—
617	#431	—	11	1	no	—
618	#431	—	11	2	no	—
619	#431	—	11	2	no	—
620	#431	—	11	1	no	—
621	#424	—	11	2	no	—
622	#424	—	11	2	no	—
623	#424	—	11	2	no	—
624	#424	—	11	2	no	—
625	#423	—	11	1	no	—
626	#423	—	11	2	no	—
627	#423	—	11	1	no	—
628	#423	—	11	2	no	—
629	C₂×C₄⋊C₈	—	11	1	no	—
630	#405	—	11	2	no	—
631	#405	—	11	2	no	—
632	#405	—	11	2	no	—
633	#405	—	11	2	no	—
634	C₄×M₁₆	—	11	1	no	—
635	C₄×M₁₆	—	11	1	no	—
636	C₄×M₁₆	—	11	2	no	—
637	C₂×#97	—	11	2	no	—
638	C₂×C₄×C₈	—	11	1	no	—
639	C₂²×C₁₁	—	2	1	no	—
640	C₂²×C₁₁	—	2	2	no	—
641	C₂²×C₁₁	—	2	1	no	—
642	C₂²×C₁₁	—	2	1	no	—
643	C₂²×C₁₁	—	2	1	no	—
644	C₂²×C₁₁	—	2	1	no	—
645	C₂²×C₁₁	—	2	1	no	—
646	C₂²×C₁₁	—	2	2	no	—
647	C₂²×C₁₁	—	2	1	no	—
648	C₂²×C₁₁	—	2	1	no	—
649	C₂²×C₁₁	—	2	1	no	—
650	C₂²×C₁₁	—	2	2	no	—
651	C₂²×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
652	C₄×C₁₁	—	2	1	no	—
653	C₄×C₁₁	—	2	2	no	—
654	C₄×C₁₁	—	2	1	no	—
655	C₄×C₁₁	—	2	1	no	—
656	C₄×C₁₁	—	2	1	no	—
657	C₄×C₁₁	—	2	1	no	—
658	C₄×C₁₁	—	2	1	no	—
659	C₄×C₁₁	—	2	2	no	—
660	C₄×C₁₁	—	2	2	no	—
661	C₄×C₁₁	—	2	2	no	—
662	C₄×C₁₁	—	2	1	no	—
663	C₄×C₁₁	—	2	1	no	—
664	C₄×C₁₁	—	2	2	no	—
665	C₄×C₁₁	—	2	2	no	—
666	C₄×C₁₁	—	2	1	no	—
667	C₄×C₁₁	—	2	2	no	—
668	C₄×C₁₁	—	2	1	no	—
669	C₄×C₁₁	#568	1	2	yes	—
670	C₄×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
671	C₄×C₁₁	#585	1	1	yes	characteristic
672	C₂×#41	C₂×Dic₁₁	1	1	yes	characteristic
673	C₂×#41	C₂×Dic₁₁	1	1	yes	characteristic
674	C₂²×Q₈	C₂×Dic₁₁	1	1	yes	characteristic
675	C₂×M₁₆	—	11	1	no	—
676	C₂×M₁₆	—	11	1	no	—
677	C₂×M₁₆	—	11	1	no	—
678	C₂×M₁₆	—	11	2	no	—
679	C₂×M₁₆	—	11	1	no	—
680	C₂×M₁₆	—	11	2	no	—
681	C₂×M₁₆	—	11	2	no	—
682	C₂×M₁₆	—	11	2	no	—
683	C₂²×C₈	—	11	1	no	—
684	C₂²×C₈	—	11	2	no	—
685	C₂²×C₈	—	11	1	no	—
686	C₂²×C₈	—	11	2	no	—
687	C₂²×C₈	—	11	2	no	—
688	C₄⋊Q₈	C₂×Dic₁₁	1	1	yes	characteristic
689	C₄⋊Q₈	C₂×Dic₁₁	1	1	yes	characteristic
690	C₄⋊Q₈	C₂×Dic₁₁	1	2	yes	—
691	C₄⋊Q₈	C₂×Dic₁₁	1	1	yes	characteristic
692	C₄⋊Q₈	C₂×Dic₁₁	1	2	yes	—
693	C₄⋊Q₈	C₂×Dic₁₁	1	1	yes	characteristic
694	#126	C₂×Dic₁₁	1	2	yes	—
695	#126	C₂×Dic₁₁	1	2	yes	—
696	#126	C₂×Dic₁₁	1	2	yes	—
697	#126	C₂×Dic₁₁	1	2	yes	—
698	#126	C₂×Dic₁₁	1	2	yes	—
699	#126	C₂×Dic₁₁	1	2	yes	—
700	#126	C₂×Dic₁₁	1	2	yes	—
701	#126	C₂×Dic₁₁	1	2	yes	—
702	#125	C₂×Dic₁₁	1	2	yes	—
703	#125	C₂×Dic₁₁	1	2	yes	—
704	#125	C₂×Dic₁₁	1	1	yes	characteristic
705	#125	C₂×Dic₁₁	1	2	yes	—
706	#125	C₂×Dic₁₁	1	1	yes	characteristic
707	#125	C₂×Dic₁₁	1	2	yes	—
708	#125	C₂×Dic₁₁	1	2	yes	—
709	#125	C₂×Dic₁₁	1	2	yes	—
710	#125	C₂×Dic₁₁	1	2	yes	—
711	#124	C₂×Dic₁₁	1	1	yes	characteristic
712	#124	C₂×Dic₁₁	1	1	yes	characteristic
713	#124	C₂×Dic₁₁	1	2	yes	—
714	#124	C₂×Dic₁₁	1	2	yes	—
715	#124	C₂×Dic₁₁	1	2	yes	—
716	#123	C₂×Dic₁₁	1	2	yes	—
717	#123	C₂×Dic₁₁	1	2	yes	—
718	#123	C₂×Dic₁₁	1	2	yes	—
719	#123	C₂×Dic₁₁	1	2	yes	—
720	#123	C₂×Dic₁₁	1	2	yes	—
721	#123	C₂×Dic₁₁	1	2	yes	—
722	#123	C₂×Dic₁₁	1	2	yes	—
723	#123	C₂×Dic₁₁	1	2	yes	—
724	C₂²⋊Q₈	C₂×Dic₁₁	1	1	yes	characteristic
725	C₂²⋊Q₈	C₂×Dic₁₁	1	1	yes	characteristic
726	C₂²⋊Q₈	C₂×Dic₁₁	1	2	yes	—
727	C₂²⋊Q₈	C₂×Dic₁₁	1	2	yes	—
728	C₂²⋊Q₈	C₂×Dic₁₁	1	2	yes	—
729	C₂²⋊Q₈	C₂×Dic₁₁	1	1	yes	characteristic
730	C₂²⋊Q₈	C₂×Dic₁₁	1	1	yes	characteristic
731	C₂²⋊Q₈	C₂×Dic₁₁	1	2	yes	—
732	C₂²⋊Q₈	C₂×Dic₁₁	1	1	yes	characteristic
733	C₂²⋊Q₈	C₂×Dic₁₁	1	1	yes	characteristic
734	C₂²⋊Q₈	C₂×Dic₁₁	1	2	yes	—
735	C₂²⋊Q₈	C₂×Dic₁₁	1	2	yes	—
736	C₂²⋊Q₈	C₂×Dic₁₁	1	2	yes	—
737	C₂²⋊Q₈	C₂×Dic₁₁	1	2	yes	—
738	C₂²⋊Q₈	C₂×Dic₁₁	1	2	yes	—
739	#121	C₂×Dic₁₁	1	2	yes	—
740	#121	C₂×Dic₁₁	1	2	yes	—
741	#121	C₂×Dic₁₁	1	1	yes	characteristic
742	#121	C₂×Dic₁₁	1	1	yes	characteristic
743	#121	C₂×Dic₁₁	1	2	yes	—
744	C₄×Q₈	C₂×Dic₁₁	1	1	yes	characteristic
745	C₄×Q₈	C₂×Dic₁₁	1	1	yes	characteristic
746	C₄×Q₈	C₂×Dic₁₁	1	2	yes	—
747	C₄×Q₈	C₂×Dic₁₁	1	1	yes	characteristic
748	C₄×Q₈	C₂×Dic₁₁	1	1	yes	characteristic
749	C₄×Q₈	C₂²×D₁₁	1	1	yes	characteristic
750	C₄×Q₈	C₂²×D₁₁	1	1	yes	characteristic
751	C₄×Q₈	C₂²×D₁₁	1	2	yes	—
752	C₄×Q₈	C₂²×D₁₁	1	1	yes	characteristic
753	C₄×Q₈	C₂²×D₁₁	1	1	yes	characteristic
754	C₄×Q₈	C₂²×D₁₁	1	2	yes	—
755	C₄×Q₈	C₂²×D₁₁	1	2	yes	—
756	C₄×D₄	C₂×Dic₁₁	1	1	yes	characteristic
757	C₄×D₄	C₂×Dic₁₁	1	1	yes	characteristic
758	C₄×D₄	C₂×Dic₁₁	1	2	yes	—
759	C₄×D₄	C₂×Dic₁₁	1	1	yes	characteristic
760	C₄×D₄	C₂×Dic₁₁	1	1	yes	characteristic
761	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
762	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
763	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
764	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
765	C₄×D₄	C₂²×D₁₁	1	2	yes	—
766	C₄×D₄	C₂²×D₁₁	1	2	yes	—
767	C₄×D₄	C₂²×D₁₁	1	2	yes	—
768	#117	C₂×Dic₁₁	1	1	yes	characteristic
769	#117	C₂×Dic₁₁	1	1	yes	characteristic
770	#117	C₂×Dic₁₁	1	1	yes	characteristic
771	#117	C₂×Dic₁₁	1	1	yes	characteristic
772	#117	C₂×Dic₁₁	1	2	yes	—
773	#117	C₂²×D₁₁	1	2	yes	—
774	#117	C₂²×D₁₁	1	2	yes	—
775	#117	C₂²×D₁₁	1	2	yes	—
776	#117	C₂²×D₁₁	1	2	yes	—
777	C₂×C₄⋊C₄	C₂×Dic₁₁	1	1	yes	characteristic
778	C₂×C₄⋊C₄	C₂×Dic₁₁	1	2	yes	—
779	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
780	C₂×C₄²	C₂²×D₁₁	1	2	yes	—
781	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
782	C₂×C₄²	C₂²×D₁₁	1	2	yes	—
783	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
784	C₄⋊C₈	—	11	1	no	—
785	C₄⋊C₈	—	11	1	no	—
786	C₄⋊C₈	—	11	2	no	—
787	C₄⋊C₈	—	11	1	no	—
788	C₄⋊C₈	—	11	2	no	—
789	C₄⋊C₈	—	11	1	no	—
790	C₄⋊C₈	—	11	2	no	—
791	C₄⋊C₈	—	11	2	no	—
792	C₄⋊C₈	—	11	2	no	—
793	C₄⋊C₈	—	11	2	no	—
794	C₄⋊C₈	—	11	2	no	—
795	C₄⋊C₈	—	11	2	no	—
796	C₄⋊C₈	—	11	2	no	—
797	C₄⋊C₈	—	11	1	no	—
798	C₄⋊C₈	—	11	1	no	—
799	C₄⋊C₈	—	11	2	no	—
800	C₄⋊C₈	—	11	2	no	—
801	C₄⋊C₈	—	11	2	no	—
802	C₄⋊C₈	—	11	1	no	—
803	C₄⋊C₈	—	11	1	no	—
804	C₄⋊C₈	—	11	2	no	—
805	C₄⋊C₈	—	11	1	no	—
806	C₄⋊C₈	—	11	1	no	—
807	C₄⋊C₈	—	11	2	no	—
808	C₄⋊C₈	—	11	2	no	—
809	C₂²⋊C₈	—	11	1	no	—
810	C₂²⋊C₈	—	11	2	no	—
811	C₂²⋊C₈	—	11	1	no	—
812	C₂²⋊C₈	—	11	1	no	—
813	C₂²⋊C₈	—	11	2	no	—
814	C₂²⋊C₈	—	11	1	no	—
815	C₂²⋊C₈	—	11	1	no	—
816	C₂²⋊C₈	—	11	2	no	—
817	C₂²⋊C₈	—	11	1	no	—
818	C₂²⋊C₈	—	11	2	no	—
819	C₂²⋊C₈	—	11	2	no	—
820	C₂²⋊C₈	—	11	2	no	—
821	C₂²⋊C₈	—	11	2	no	—
822	#97	—	11	1	no	—
823	#97	—	11	2	no	—
824	#97	—	11	2	no	—
825	#97	—	11	2	no	—
826	#97	—	11	1	no	—
827	#97	—	11	2	no	—
828	#97	—	11	1	no	—
829	#97	—	11	1	no	—
830	#97	—	11	2	no	—
831	#97	—	11	2	no	—
832	#97	—	11	2	no	—
833	#97	—	11	2	no	—
834	C₄×C₈	—	11	1	no	—
835	C₄×C₈	—	11	1	no	—
836	C₄×C₈	—	11	1	no	—
837	C₄×C₈	—	11	1	no	—
838	C₄×C₈	—	11	2	no	—
839	C₄×C₈	—	11	1	no	—
840	C₄×C₈	—	11	1	no	—
841	C₄×C₈	—	11	2	no	—
842	C₄×C₈	—	11	2	no	—
843	C₄×C₈	—	11	2	no	—
844	C₄×C₈	—	11	2	no	—
845	C₄×C₈	—	11	2	no	—
846	C₄×C₈	—	11	2	no	—
847	C₂×C₁₁	—	4	1	no	—
848	C₂×C₁₁	—	4	1	no	—
849	C₂×C₁₁	—	4	1	no	—
850	C₂×C₁₁	—	4	2	no	—
851	C₂×C₁₁	C₄×2₋¹⁺⁴	1	1	yes	characteristic
852	C₂×C₁₁	C₂×#568	1	1	yes	characteristic
853	C₂×C₁₁	#3573	1	1	yes	characteristic
854	#41	—	4	2	no	—
855	#41	—	4	2	no	—
856	C₂×Q₈	—	4	2	no	—
857	C₂×Q₈	C₂²×Dic₁₁	1	1	yes	characteristic
858	C₂×Q₈	C₂²×Dic₁₁	1	1	yes	characteristic
859	C₂×Q₈	C₂²×Dic₁₁	1	1	yes	characteristic
860	C₂×Q₈	C₂²×Dic₁₁	1	2	yes	—
861	C₂×Q₈	C₂²×Dic₁₁	1	1	yes	characteristic
862	C₂×Q₈	C₂²×Dic₁₁	1	2	yes	—
863	C₂×Q₈	C₂²×Dic₁₁	1	2	yes	—
864	C₂×D₄	C₂²×Dic₁₁	1	1	yes	characteristic
865	C₂×D₄	C₂²×Dic₁₁	1	1	yes	characteristic
866	C₂×D₄	C₂²×Dic₁₁	1	1	yes	characteristic
867	C₂×D₄	C₂²×Dic₁₁	1	2	yes	—
868	C₂×D₄	C₂²×Dic₁₁	1	1	yes	characteristic
869	C₂×D₄	C₂²×Dic₁₁	1	2	yes	—
870	C₂×D₄	C₂²×Dic₁₁	1	2	yes	—
871	C₂²×C₄	C₂²×Dic₁₁	1	1	yes	characteristic
872	C₂²×C₄	C₂²×Dic₁₁	1	1	yes	characteristic
873	C₂²×C₄	C₂²×Dic₁₁	1	1	yes	characteristic
874	C₂²×C₄	C₂²×Dic₁₁	1	1	yes	characteristic
875	C₂²×C₄	C₂²×Dic₁₁	1	2	yes	—
876	C₂²×C₄	C₂²×Dic₁₁	1	2	yes	—
877	C₂²×C₄	C₂²×Dic₁₁	1	2	yes	—
878	C₂²×C₄	C₂²×Dic₁₁	1	1	yes	characteristic
879	C₂²×C₄	C₂²×Dic₁₁	1	2	yes	—
880	C₂²×C₄	C₂²×Dic₁₁	1	1	yes	characteristic
881	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
882	C₂²×C₄	C₂³×D₁₁	1	2	yes	—
883	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
884	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
885	M₁₆	—	22	2	no	—
886	M₁₆	—	22	2	no	—
887	M₁₆	—	44	1	no	—
888	M₁₆	—	44	2	no	—
889	M₁₆	—	44	2	no	—
890	M₁₆	—	44	1	no	—
891	M₁₆	—	44	2	no	—
892	M₁₆	—	44	2	no	—
893	C₂×C₈	—	11	1	no	—
894	C₂×C₈	—	11	1	no	—
895	C₂×C₈	—	11	1	no	—
896	C₂×C₈	—	11	1	no	—
897	C₂×C₈	—	11	1	no	—
898	C₂×C₈	—	11	2	no	—
899	C₂×C₈	—	11	2	no	—
900	C₂×C₈	—	11	1	no	—
901	C₂×C₈	—	11	1	no	—
902	C₂×C₈	—	11	2	no	—
903	C₂×C₈	—	11	1	no	—
904	C₂×C₈	—	11	2	no	—
905	C₂×C₈	—	22	2	no	—
906	C₂×C₈	—	22	4	no	—
907	C₂×C₈	—	44	2	no	—
908	C₂×C₈	—	44	2	no	—
909	C₂×C₈	—	44	1	no	—
910	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
911	C₄⋊C₄	C₂²×Dic₁₁	1	1	yes	characteristic
912	C₄⋊C₄	C₂²×Dic₁₁	1	1	yes	characteristic
913	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
914	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
915	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
916	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
917	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
918	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
919	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
920	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
921	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
922	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
923	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
924	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
925	C₄⋊C₄	C₂²×Dic₁₁	1	1	yes	characteristic
926	C₄⋊C₄	C₂²×Dic₁₁	1	1	yes	characteristic
927	C₄⋊C₄	C₂²×Dic₁₁	1	1	yes	characteristic
928	C₄⋊C₄	C₂²×Dic₁₁	1	1	yes	characteristic
929	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
930	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
931	C₄⋊C₄	C₂²×Dic₁₁	1	1	yes	characteristic
932	C₄⋊C₄	C₂²×Dic₁₁	1	1	yes	characteristic
933	C₄⋊C₄	C₂²×Dic₁₁	1	1	yes	characteristic
934	C₄⋊C₄	C₂²×Dic₁₁	1	1	yes	characteristic
935	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
936	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
937	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
938	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
939	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
940	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
941	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
942	C₄⋊C₄	C₂²×Dic₁₁	1	2	yes	—
943	C₂²⋊C₄	C₂²×Dic₁₁	1	2	yes	—
944	C₂²⋊C₄	C₂²×Dic₁₁	1	2	yes	—
945	C₂²⋊C₄	C₂²×Dic₁₁	1	2	yes	—
946	C₂²⋊C₄	C₂²×Dic₁₁	1	2	yes	—
947	C₂²⋊C₄	C₂²×Dic₁₁	1	2	yes	—
948	C₂²⋊C₄	C₂²×Dic₁₁	1	2	yes	—
949	C₂²⋊C₄	C₂²×Dic₁₁	1	2	yes	—
950	C₂²⋊C₄	C₂²×Dic₁₁	1	2	yes	—
951	C₂²⋊C₄	C₂²×Dic₁₁	1	1	yes	characteristic
952	C₂²⋊C₄	C₂²×Dic₁₁	1	1	yes	characteristic
953	C₂²⋊C₄	C₂²×Dic₁₁	1	2	yes	—
954	C₂²⋊C₄	C₂²×Dic₁₁	1	2	yes	—
955	C₂²⋊C₄	C₂²×Dic₁₁	1	1	yes	characteristic
956	C₂²⋊C₄	C₂²×Dic₁₁	1	1	yes	characteristic
957	C₂²⋊C₄	C₂²×Dic₁₁	1	1	yes	characteristic
958	C₂²⋊C₄	C₂²×Dic₁₁	1	1	yes	characteristic
959	C₂²⋊C₄	C₂²×Dic₁₁	1	2	yes	—
960	C₂²⋊C₄	C₂²×Dic₁₁	1	2	yes	—
961	C₂²⋊C₄	C₂²×Dic₁₁	1	2	yes	—
962	C₂²⋊C₄	C₂²×Dic₁₁	1	2	yes	—
963	C₂²⋊C₄	C₂²×Dic₁₁	1	2	yes	—
964	C₄²	C₂²×Dic₁₁	1	1	yes	characteristic
965	C₄²	C₂²×Dic₁₁	1	1	yes	characteristic
966	C₄²	C₂²×Dic₁₁	1	2	yes	—
967	C₄²	C₂²×Dic₁₁	1	1	yes	characteristic
968	C₄²	C₂²×Dic₁₁	1	1	yes	characteristic
969	C₄²	C₂²×Dic₁₁	1	1	yes	characteristic
970	C₄²	C₂²×Dic₁₁	1	2	yes	—
971	C₄²	C₂²×Dic₁₁	1	1	yes	characteristic
972	C₄²	C₂²×Dic₁₁	1	2	yes	—
973	C₄²	C₂²×Dic₁₁	1	2	yes	—
974	C₄²	C₂³×D₁₁	1	1	yes	characteristic
975	C₄²	C₂³×D₁₁	1	1	yes	characteristic
976	C₄²	C₂³×D₁₁	1	2	yes	—
977	C₄²	C₂³×D₁₁	1	2	yes	—
978	C₄²	C₂³×D₁₁	1	2	yes	—
979	C₄²	C₂³×D₁₁	1	1	yes	characteristic
980	C₄²	C₂³×D₁₁	1	1	yes	characteristic
981	C₁₁	#60344	1	1	yes	characteristic, complemented, Sylow
982	C₂³	C₂³×Dic₁₁	1	1	yes	characteristic
983	C₂³	C₂³×Dic₁₁	1	1	yes	characteristic
984	C₂³	C₂³×Dic₁₁	1	2	yes	—
985	C₂³	C₂³×Dic₁₁	1	1	yes	characteristic
986	Q₈	—	2	2	no	—
987	Q₈	—	2	2	no	—
988	Q₈	—	2	2	no	—
989	Q₈	—	4	2	no	—
990	Q₈	—	4	2	no	—
991	Q₈	—	4	2	no	—
992	Q₈	—	4	1	no	—
993	D₄	—	2	2	no	—
994	D₄	—	4	2	no	—
995	D₄	—	4	2	no	—
996	D₄	—	4	1	no	—
997	D₄	—	4	1	no	—
998	D₄	—	4	1	no	—
999	D₄	—	4	2	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	2	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	4	1	no	—
1012	C₂×C₄	—	4	1	no	—
1013	C₂×C₄	—	4	2	no	—
1014	C₂×C₄	—	4	1	no	—
1015	C₂×C₄	—	4	2	no	—
1016	C₂×C₄	—	4	2	no	—
1017	C₂×C₄	—	4	2	no	—
1018	C₂×C₄	C₂³×Dic₁₁	1	1	yes	characteristic
1019	C₂×C₄	C₂³×Dic₁₁	1	1	yes	characteristic
1020	C₂×C₄	C₂³×Dic₁₁	1	1	yes	characteristic
1021	C₂×C₄	C₂³×Dic₁₁	1	1	yes	characteristic
1022	C₂×C₄	C₂³×Dic₁₁	1	2	yes	—
1023	C₂×C₄	C₂³×Dic₁₁	1	1	yes	characteristic
1024	C₂×C₄	C₂³×Dic₁₁	1	1	yes	characteristic
1025	C₂×C₄	C₂³×Dic₁₁	1	2	yes	—
1026	C₂×C₄	C₂³×Dic₁₁	1	2	yes	—
1027	C₂×C₄	C₂³×Dic₁₁	1	2	yes	—
1028	C₂×C₄	C₂³×Dic₁₁	1	1	yes	characteristic
1029	C₂×C₄	C₂³×Dic₁₁	1	1	yes	characteristic
1030	C₂×C₄	C₂³×Dic₁₁	1	1	yes	characteristic
1031	C₂×C₄	C₂³×Dic₁₁	1	1	yes	characteristic
1032	C₂×C₄	C₂³×Dic₁₁	1	2	yes	—
1033	C₂×C₄	C₂³×Dic₁₁	1	2	yes	—
1034	C₂×C₄	C₂³×Dic₁₁	1	2	yes	—
1035	C₂×C₄	C₂³×Dic₁₁	1	1	yes	characteristic
1036	C₂×C₄	C₂⁴×D₁₁	1	1	yes	characteristic
1037	C₈	—	11	2	no	—
1038	C₈	—	22	1	no	—
1039	C₈	—	22	2	no	—
1040	C₈	—	22	1	no	—
1041	C₈	—	22	1	no	—
1042	C₈	—	22	1	no	—
1043	C₈	—	22	2	no	—
1044	C₈	—	22	1	no	—
1045	C₈	—	22	1	no	—
1046	C₈	—	22	2	no	—
1047	C₈	—	22	1	no	—
1048	C₈	—	22	2	no	—
1049	C₂²	—	2	1	no	—
1050	C₂²	—	2	1	no	—
1051	C₂²	—	2	1	no	—
1052	C₂²	—	2	2	no	—
1053	C₂²	—	2	1	no	—
1054	C₂²	—	2	1	no	—
1055	C₂²	—	2	1	no	—
1056	C₂²	—	2	2	no	—
1057	C₂²	—	2	1	no	—
1058	C₂²	—	2	2	no	—
1059	C₂²	—	2	1	no	—
1060	C₂²	—	2	1	no	—
1061	C₂²	C₂⁴×Dic₁₁	1	1	yes	characteristic
1062	C₄	—	2	1	no	—
1063	C₄	—	2	1	no	—
1064	C₄	—	2	1	no	—
1065	C₄	—	2	2	no	—
1066	C₄	—	2	2	no	—
1067	C₄	—	2	2	no	—
1068	C₄	—	2	1	no	—
1069	C₄	—	2	1	no	—
1070	C₄	—	2	2	no	—
1071	C₄	—	2	2	no	—
1072	C₄	—	2	1	no	—
1073	C₄	—	2	2	no	—
1074	C₄	—	2	1	no	—
1075	C₄	—	2	1	no	—
1076	C₄	—	2	2	no	—
1077	C₄	—	2	1	no	—
1078	C₄	—	2	1	no	—
1079	C₄	#10623350	1	2	yes	—
1080	C₄	D₁₁×2₋¹⁺⁴	1	1	yes	characteristic
1081	C₄	#10623457	1	1	yes	characteristic
1082	C₂	—	4	1	no	—
1083	C₂	—	4	1	no	—
1084	C₂	—	4	1	no	—
1085	C₂	—	4	2	no	—
1086	C₂	2₋¹⁺⁴×Dic₁₁	1	1	yes	characteristic
1087	C₂	C₂×#10623350	1	1	yes	characteristic
1088	C₂	#13083328	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₁
commutator, socle	C₂²×C₁₁	C₂⁴×C₄
Fitting	C₁₁×#3461	C₂
prime radical	C₁₁×#537	C₄
cosocle	C₂×C₄×C₁₁	C₂⁵
hypercenter	#3461	D₁₁
hypocenter	C₁₁	#60344
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂×C₄ ◁ #3461

Complements

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

N	H ≅ G/N	type
1. #13077786	C₂	semidirect
2. #13077786	C₂	semidirect
3. #13077776	C₂	semidirect
4. #13077765	C₂	semidirect
5. #13077765	C₂	semidirect
6. #13077748	C₂	semidirect
7. #13077733	C₂	semidirect
8. #13077718	C₂	semidirect
9. #13077711	C₂	semidirect
10. #13077711	C₂	semidirect
11. #13077705	C₂	semidirect
12. #13077630	C₂	semidirect
13. #13077621	C₂	semidirect
14. #13077621	C₂	semidirect
15. #13077612	C₂	semidirect
16. #13077603	C₂	semidirect
17. #13077592	C₂	semidirect
18. #13077583	C₂	semidirect
19. Q₈×#4318	C₂	semidirect
20. #13077565	C₂	semidirect
21. #13077557	C₂	semidirect
22. #13077551	C₂	semidirect
981. C₁₁	#60344	semidirect

Maximal subgroups

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

subgroup	index
#13077786	2
#13077776	2
#13077765	2
#13077748	2
#13077733	2
#13077718	2
#13077711	2
#13077705	2
#13077630	2
#13077621	2
#13077612	2
#13077603	2
#13077592	2
#13077583	2
Q₈×#4318	2
#13077565	2
#13077557	2
#13077551	2
C₁₁×#3461	2
#60344	11