Subgroups — C₂×#13082688 #15661909

Order 2816.

7314 conjugacy classes of subgroups.

The subgroup lattice has 1292 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13082688	C₂	1	32	yes	maximal, direct product factor
2	C₂×#10623115	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#10623073	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#10623110	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#10623096	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#10623192	C₂	1	2	yes	maximal, complemented
7	C₂×#10623072	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#10623224	C₂	1	2	yes	maximal, complemented
9	C₂×#10623210	C₂	1	2	yes	maximal, complemented
10	C₂×#10623190	C₂	1	2	yes	maximal, complemented
11	C₂×#10623082	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#10623081	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#10623081	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#10623065	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#10623049	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#10623169	C₂	1	2	yes	maximal, complemented
17	C₂×#10623144	C₂	1	2	yes	maximal, complemented
18	C₂×#10623010	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#10623237	C₂	1	2	yes	maximal, complemented
20	C₂×D₁₁×#126	C₂	1	2	yes	maximal, complemented
21	C₂×#10623054	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#10623052	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×#4339	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₁×#529	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#4339	C₂²	1	1	yes	characteristic
26	C₂²×#4339	C₂²	1	1	yes	characteristic
27	C₂³×D₄₄	C₂²	1	1	yes	characteristic
28	C₁₁×#529	C₂²	1	16	yes	complemented
29	C₂×C₁₁×#126	C₂²	1	1	yes	characteristic
30	C₂×C₁₁×#126	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₁₁×#124	C₂²	1	1	yes	characteristic
33	C₂×C₁₁×#123	C₂²	1	1	yes	characteristic
34	C₂×C₁₁×#123	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₁×#121	C₂²	1	1	yes	characteristic
37	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
40	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
42	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic, complemented
43	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic, complemented
44	C₂×#66999	C₂²	1	2	yes	complemented
45	C₂×#66999	C₂²	1	2	yes	complemented
46	C₂×#66992	C₂²	1	2	yes	complemented
47	C₂×#66991	C₂²	1	2	yes	complemented
48	C₂×#66990	C₂²	1	2	yes	—
49	C₂×#66990	C₂²	1	2	yes	—
50	C₂×#66989	C₂²	1	2	yes	—
51	C₂×#66988	C₂²	1	2	yes	—
52	C₂×#66983	C₂²	1	1	yes	characteristic
53	C₂×#66983	C₂²	1	1	yes	characteristic
54	C₂×#66982	C₂²	1	2	yes	complemented
55	C₂×C₄×C₂²⋊D₁₁	C₂²	1	2	yes	complemented
56	C₂×C₄×C₂²⋊D₁₁	C₂²	1	2	yes	complemented
57	C₂×C₄×C₂²⋊D₁₁	C₂²	1	2	yes	complemented
58	C₂×#66979	C₂²	1	1	yes	characteristic
59	C₂×#66979	C₂²	1	1	yes	characteristic, complemented
60	C₂²×C₄⋊Dic₁₁	C₂²	1	1	yes	characteristic, complemented
61	C₂×#66977	C₂²	1	1	yes	characteristic
62	C₂×#66977	C₂²	1	1	yes	characteristic
63	C₂×#66977	C₂²	1	1	yes	characteristic, complemented
64	C₂×#66977	C₂²	1	1	yes	characteristic, complemented
65	#10623237	C₂²	1	32	yes	complemented
66	D₁₁×#126	C₂²	1	32	yes	complemented
67	#10623224	C₂²	1	32	yes	complemented
68	#10623210	C₂²	1	32	yes	complemented
69	#10623192	C₂²	1	32	yes	complemented
70	#10623190	C₂²	1	32	yes	complemented
71	#10623169	C₂²	1	32	yes	complemented
72	#10623144	C₂²	1	32	yes	complemented
73	#10623115	C₂²	1	16	yes	complemented
74	#10623110	C₂²	1	16	yes	complemented
75	#10623096	C₂²	1	16	yes	complemented
76	#10623082	C₂²	1	16	yes	complemented
77	#10623081	C₂²	1	16	yes	complemented
78	#10623081	C₂²	1	16	yes	complemented
79	#10623073	C₂²	1	16	yes	complemented
80	#10623072	C₂²	1	16	yes	complemented
81	#10623065	C₂²	1	16	yes	complemented
82	#10623054	C₂²	1	16	yes	complemented
83	#10623052	C₂²	1	16	yes	complemented
84	#10623049	C₂²	1	16	yes	complemented
85	C₂×#66951	C₂²	1	2	yes	complemented
86	C₂×#66951	C₂²	1	2	yes	complemented
87	C₂×#66951	C₂²	1	2	yes	complemented
88	C₂×#66951	C₂²	1	2	yes	complemented
89	C₂×#66949	C₂²	1	2	yes	complemented
90	C₂×#66949	C₂²	1	2	yes	complemented
91	C₂×#66949	C₂²	1	2	yes	complemented
92	C₂×#66947	C₂²	1	2	yes	—
93	C₂×#66947	C₂²	1	2	yes	—
94	C₂×#66946	C₂²	1	2	yes	—
95	C₂×#66946	C₂²	1	2	yes	—
96	C₂×#66945	C₂²	1	2	yes	complemented
97	C₂×#66945	C₂²	1	2	yes	complemented
98	C₂×C₄⋊C₄×D₁₁	C₂²	1	2	yes	complemented
99	C₂×C₄⋊C₄×D₁₁	C₂²	1	2	yes	complemented
100	C₂×C₄⋊C₄×D₁₁	C₂²	1	2	yes	complemented
101	C₂×#66942	C₂²	1	2	yes	complemented
102	C₂×#66942	C₂²	1	2	yes	complemented
103	C₂×#66942	C₂²	1	2	yes	complemented
104	C₂×#66940	C₂²	1	2	yes	complemented
105	C₂×#66938	C₂²	1	2	yes	complemented
106	C₂×#66937	C₂²	1	2	yes	—
107	C₂×#66937	C₂²	1	2	yes	—
108	C₂×#66936	C₂²	1	2	yes	complemented
109	C₂×#66936	C₂²	1	2	yes	complemented
110	C₂×#66936	C₂²	1	2	yes	complemented
111	C₂×#66936	C₂²	1	2	yes	complemented
112	C₂×(C₂²⋊D₁₁)⋊C₄	C₂²	1	2	yes	complemented
113	C₂×(C₂²⋊D₁₁)⋊C₄	C₂²	1	2	yes	complemented
114	C₂×(C₂²⋊D₁₁)⋊C₄	C₂²	1	2	yes	complemented
115	C₂×C₂²⋊C₄×D₁₁	C₂²	1	2	yes	—
116	C₂×C₂²⋊C₄×D₁₁	C₂²	1	2	yes	—
117	C₂×C₂²⋊C₄×D₁₁	C₂²	1	2	yes	—
118	C₂×C₂²⋊C₄×D₁₁	C₂²	1	2	yes	—
119	C₂×#66932	C₂²	1	2	yes	—
120	C₂×#66932	C₂²	1	2	yes	—
121	C₂×#66932	C₂²	1	2	yes	—
122	C₂×#66932	C₂²	1	2	yes	—
123	C₂×#66932	C₂²	1	2	yes	complemented
124	C₂×#66930	C₂²	1	2	yes	complemented
125	#10623010	C₂²	1	16	yes	complemented
126	C₂×#66929	C₂²	1	2	yes	complemented
127	C₂×#66928	C₂²	1	1	yes	characteristic
128	C₂×#66928	C₂²	1	1	yes	characteristic
129	C₄×#4339	C₂²	1	16	yes	complemented
130	C₂×C₄×D₄₄	C₂²	1	1	yes	characteristic
131	C₂×C₄×D₄₄	C₂²	1	1	yes	characteristic
132	C₂×C₄×D₄₄	C₂²	1	1	yes	characteristic
133	C₂×C₄×D₄₄	C₂²	1	1	yes	characteristic
134	C₂×C₄×D₄₄	C₂²	1	1	yes	characteristic
135	C₂×C₄×D₄₄	C₂²	1	1	yes	characteristic
136	C₂×#66925	C₂²	1	2	yes	complemented
137	C₂×#66925	C₂²	1	2	yes	complemented
138	C₂×C₄²×D₁₁	C₂²	1	2	yes	complemented
139	C₂×#66923	C₂²	1	1	yes	characteristic, complemented
140	C₂×#66923	C₂²	1	1	yes	characteristic, complemented
141	C₂×#66922	C₂²	1	1	yes	characteristic, complemented
142	C₂×#66922	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄×Dic₂₂	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₄×Dic₂₂	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Dic₂₂	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₂₂	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₁₁	C₂³	1	2	yes	—
148	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
149	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
150	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
151	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
155	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
156	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
157	C₂²×C₂²⋊D₁₁	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₁₁	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₁₁	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₁₁	C₂³	1	2	yes	—
161	C₂³×Dic₁₁	C₂³	1	2	yes	—
162	C₂×#4339	—	2	8	no	—
163	C₂×#4339	—	2	8	no	—
164	C₂×#4339	C₂³	1	8	yes	—
165	C₂×#4339	C₂³	1	8	yes	—
166	C₂²×D₄₄	—	2	8	no	—
167	C₂²×D₄₄	C₂³	1	1	yes	characteristic
168	C₂²×D₄₄	C₂³	1	2	yes	—
169	C₂²×D₄₄	C₂³	1	8	yes	—
170	C₂²×D₄₄	C₂³	1	1	yes	characteristic
171	C₂²×C₄×D₁₁	C₂³	1	2	yes	—
172	C₂²×C₄×D₁₁	C₂³	1	2	yes	—
173	C₂²×C₄×D₁₁	C₂³	1	2	yes	—
174	C₂²×C₄×D₁₁	C₂³	1	2	yes	—
175	C₂²×C₄×D₁₁	C₂³	1	2	yes	—
176	C₂²×C₄×D₁₁	C₂³	1	2	yes	—
177	C₂²×C₄×D₁₁	C₂³	1	2	yes	—
178	C₂²×C₄×D₁₁	C₂³	1	2	yes	—
179	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
180	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
181	C₂²×Dic₂₂	C₂³	1	2	yes	—
182	C₁₁×#126	C₂³	1	8	yes	—
183	C₁₁×#126	C₂³	1	8	yes	complemented
184	C₁₁×#125	C₂³	1	8	yes	complemented
185	C₁₁×#124	C₂³	1	8	yes	—
186	C₁₁×#123	C₂³	1	8	yes	—
187	C₁₁×#123	C₂³	1	8	yes	complemented
188	C₁₁×C₂²⋊Q₈	C₂³	1	8	yes	complemented
189	C₁₁×#121	C₂³	1	8	yes	—
190	C₄×Q₈×C₁₁	C₂³	1	8	yes	complemented
191	C₄×D₄×C₁₁	C₂³	1	8	yes	—
192	C₄×D₄×C₁₁	C₂³	1	8	yes	—
193	C₄×D₄×C₁₁	C₂³	1	8	yes	complemented
194	C₁₁×#117	C₂³	1	8	yes	—
195	C₁₁×#117	C₂³	1	8	yes	complemented
196	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₁₁	C₂³	1	8	yes	complemented
223	C₂×C₂²⋊Dic₁₁	C₂³	1	2	yes	—
224	C₂×C₂²⋊Dic₁₁	C₂³	1	2	yes	—
225	C₂×C₂²⋊Dic₁₁	C₂³	1	2	yes	—
226	C₂×C₂²⋊Dic₁₁	C₂³	1	2	yes	—
227	C₂×C₂²⋊Dic₁₁	C₂³	1	2	yes	—
228	C₂×C₂²⋊Dic₁₁	C₂³	1	2	yes	—
229	#66999	C₂³	1	16	yes	complemented
230	#66999	C₂³	1	16	yes	complemented
231	#66992	C₂³	1	16	yes	complemented
232	#66991	C₂³	1	16	yes	complemented
233	#66990	C₂³	1	16	yes	—
234	#66990	C₂³	1	16	yes	—
235	#66989	C₂³	1	16	yes	—
236	#66988	C₂³	1	16	yes	—
237	#66983	C₂³	1	8	yes	—
238	#66983	C₂³	1	8	yes	—
239	#66982	C₂³	1	16	yes	complemented
240	C₄×C₂²⋊D₁₁	C₂³	1	16	yes	complemented
241	C₄×C₂²⋊D₁₁	C₂³	1	16	yes	complemented
242	C₄×C₂²⋊D₁₁	C₂³	1	16	yes	complemented
243	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	2	yes	—
244	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	2	yes	—
245	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	2	yes	—
246	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	2	yes	—
247	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	2	yes	—
248	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	2	yes	—
249	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	2	yes	—
250	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	2	yes	—
251	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	2	yes	—
252	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	2	yes	—
253	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	2	yes	—
254	C₂×(C₂×D₁₁)⋊C₄	C₂³	1	2	yes	—
255	#66979	C₂³	1	8	yes	—
256	#66979	C₂³	1	8	yes	complemented
257	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₁₁	C₂³	1	2	yes	—
262	C₂×C₄⋊Dic₁₁	C₂³	1	2	yes	—
263	C₂×C₄⋊Dic₁₁	C₂³	1	2	yes	—
264	C₂×C₄⋊Dic₁₁	C₂³	1	2	yes	—
265	C₂×C₄⋊Dic₁₁	C₂³	1	8	yes	complemented
266	#66977	C₂³	1	8	yes	—
267	#66977	C₂³	1	8	yes	—
268	#66977	C₂³	1	8	yes	complemented
269	#66977	C₂³	1	8	yes	complemented
270	C₂×Dic₁₁⋊C₄	C₂³	1	2	yes	—
271	C₂×Dic₁₁⋊C₄	C₂³	1	2	yes	—
272	C₂×Dic₁₁⋊C₄	C₂³	1	2	yes	—
273	C₂×Dic₁₁⋊C₄	C₂³	1	2	yes	—
274	C₂×Dic₁₁⋊C₄	C₂³	1	2	yes	—
275	C₂×Dic₁₁⋊C₄	C₂³	1	2	yes	—
276	C₂×Dic₁₁⋊C₄	C₂³	1	2	yes	—
277	C₂×Dic₁₁⋊C₄	C₂³	1	2	yes	—
278	C₂×Dic₁₁⋊C₄	C₂³	1	2	yes	—
279	C₂×Dic₁₁⋊C₄	C₂³	1	2	yes	—
280	C₂×Dic₁₁⋊C₄	C₂³	1	2	yes	—
281	C₂×Dic₁₁⋊C₄	C₂³	1	2	yes	—
282	C₂×C₄×Dic₁₁	C₂³	1	2	yes	—
283	C₂×C₄×Dic₁₁	C₂³	1	2	yes	—
284	C₂×C₄×Dic₁₁	C₂³	1	2	yes	—
285	C₂×C₄×Dic₁₁	C₂³	1	2	yes	—
286	C₂×C₄×Dic₁₁	C₂³	1	2	yes	—
287	C₂×C₄×Dic₁₁	C₂³	1	2	yes	—
288	#66951	C₂³	1	16	yes	complemented
289	#66951	C₂³	1	16	yes	complemented
290	#66951	C₂³	1	16	yes	complemented
291	#66951	C₂³	1	16	yes	complemented
292	#66949	C₂³	1	16	yes	complemented
293	#66949	C₂³	1	16	yes	complemented
294	#66949	C₂³	1	16	yes	complemented
295	#66947	C₂³	1	16	yes	—
296	#66947	C₂³	1	16	yes	—
297	#66946	C₂³	1	16	yes	—
298	#66946	C₂³	1	16	yes	—
299	#66945	C₂³	1	16	yes	complemented
300	#66945	C₂³	1	16	yes	complemented
301	C₄⋊C₄×D₁₁	C₂³	1	16	yes	complemented
302	C₄⋊C₄×D₁₁	C₂³	1	16	yes	complemented
303	C₄⋊C₄×D₁₁	C₂³	1	16	yes	complemented
304	#66942	C₂³	1	16	yes	complemented
305	#66942	C₂³	1	16	yes	complemented
306	#66942	C₂³	1	16	yes	complemented
307	#66940	C₂³	1	16	yes	complemented
308	#66938	C₂³	1	16	yes	complemented
309	#66937	C₂³	1	16	yes	—
310	#66937	C₂³	1	16	yes	—
311	#66936	C₂³	1	16	yes	complemented
312	#66936	C₂³	1	16	yes	complemented
313	#66936	C₂³	1	16	yes	complemented
314	#66936	C₂³	1	16	yes	complemented
315	(C₂²⋊D₁₁)⋊C₄	C₂³	1	16	yes	complemented
316	(C₂²⋊D₁₁)⋊C₄	C₂³	1	16	yes	complemented
317	(C₂²⋊D₁₁)⋊C₄	C₂³	1	16	yes	complemented
318	C₂²⋊C₄×D₁₁	C₂³	1	16	yes	—
319	C₂²⋊C₄×D₁₁	C₂³	1	16	yes	—
320	C₂²⋊C₄×D₁₁	C₂³	1	16	yes	—
321	C₂²⋊C₄×D₁₁	C₂³	1	16	yes	—
322	#66932	C₂³	1	16	yes	—
323	#66932	C₂³	1	16	yes	—
324	#66932	C₂³	1	16	yes	—
325	#66932	C₂³	1	16	yes	—
326	#66932	C₂³	1	16	yes	complemented
327	#66930	C₂³	1	16	yes	complemented
328	#66929	C₂³	1	16	yes	complemented
329	#66928	C₂³	1	8	yes	—
330	#66928	C₂³	1	8	yes	—
331	C₄×D₄₄	C₂³	1	8	yes	—
332	C₄×D₄₄	C₂³	1	8	yes	—
333	C₄×D₄₄	C₂³	1	8	yes	—
334	C₄×D₄₄	C₂³	1	8	yes	—
335	C₄×D₄₄	C₂³	1	8	yes	—
336	C₄×D₄₄	C₂³	1	8	yes	—
337	#66925	C₂³	1	16	yes	complemented
338	#66925	C₂³	1	16	yes	complemented
339	C₄²×D₁₁	C₂³	1	16	yes	complemented
340	#66923	C₂³	1	8	yes	complemented
341	#66923	C₂³	1	8	yes	complemented
342	#66922	C₂³	1	8	yes	complemented
343	#66922	C₂³	1	8	yes	complemented
344	C₄×Dic₂₂	C₂³	1	8	yes	complemented
345	C₄×Dic₂₂	C₂³	1	8	yes	complemented
346	C₄×Dic₂₂	C₂³	1	8	yes	complemented
347	C₄×Dic₂₂	C₂³	1	8	yes	complemented
348	C₂×#3521	—	11	1	no	maximal, Sylow
349	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
350	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
351	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
352	C₂³×D₁₁	—	2	8	no	—
353	C₂³×D₁₁	—	4	4	no	—
354	C₂³×D₁₁	—	4	4	no	—
355	C₂³×D₁₁	C₂⁴	1	2	yes	—
356	C₂³×D₁₁	C₂⁴	1	2	yes	—
357	C₂³×D₁₁	C₂⁴	1	8	yes	—
358	C₂×Q₈×C₁₁	—	4	2	no	—
359	C₂×Q₈×C₁₁	C₂⁴	1	4	yes	—
360	C₂×D₄×C₁₁	—	4	2	no	—
361	C₂×D₄×C₁₁	—	4	2	no	—
362	C₂×D₄×C₁₁	—	4	2	no	—
363	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
364	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
365	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
366	C₂²×C₄×C₁₁	—	2	4	no	—
367	C₂²×C₄×C₁₁	—	2	4	no	—
368	C₂²×C₄×C₁₁	—	2	4	no	—
369	C₂²×C₄×C₁₁	—	4	2	no	—
370	C₂²×C₄×C₁₁	—	4	2	no	—
371	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
383	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
384	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
385	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
386	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
387	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
388	C₂×C₂²⋊D₁₁	—	2	8	no	—
389	C₂×C₂²⋊D₁₁	—	2	8	no	—
390	C₂×C₂²⋊D₁₁	—	4	4	no	—
391	C₂×C₂²⋊D₁₁	—	4	4	no	—
392	C₂×C₂²⋊D₁₁	C₂⁴	1	8	yes	—
393	C₂×C₂²⋊D₁₁	C₂⁴	1	8	yes	—
394	C₂×C₂²⋊D₁₁	C₂⁴	1	8	yes	—
395	C₂×C₂²⋊D₁₁	C₂⁴	1	8	yes	—
396	C₂²×Dic₁₁	—	4	4	no	—
397	C₂²×Dic₁₁	C₂⁴	1	2	yes	—
398	C₂²×Dic₁₁	C₂⁴	1	2	yes	—
399	C₂²×Dic₁₁	C₂⁴	1	2	yes	—
400	C₂²×Dic₁₁	C₂⁴	1	2	yes	—
401	C₂²×Dic₁₁	C₂⁴	1	2	yes	—
402	C₂²×Dic₁₁	C₂⁴	1	2	yes	—
403	C₂²×Dic₁₁	C₂⁴	1	8	yes	—
404	#4339	—	2	32	no	—
405	#4339	—	2	32	no	—
406	C₂×D₄₄	—	2	32	no	—
407	C₂×D₄₄	—	2	8	no	—
408	C₂×D₄₄	—	2	4	no	—
409	C₂×D₄₄	#41	1	8	yes	—
410	C₂×D₄₄	C₂⁴	1	4	yes	—
411	C₂×D₄₄	C₂⁴	1	8	yes	—
412	C₂×D₄₄	C₂⁴	1	4	yes	—
413	C₂×C₄×D₁₁	—	2	8	no	—
414	C₂×C₄×D₁₁	—	2	8	no	—
415	C₂×C₄×D₁₁	—	4	4	no	—
416	C₂×C₄×D₁₁	—	4	4	no	—
417	C₂×C₄×D₁₁	—	4	4	no	—
418	C₂×C₄×D₁₁	—	4	4	no	—
419	C₂×C₄×D₁₁	—	4	4	no	—
420	C₂×C₄×D₁₁	—	4	4	no	—
421	C₂×C₄×D₁₁	C₂⁴	1	8	yes	—
422	C₂×C₄×D₁₁	C₂⁴	1	8	yes	—
423	C₂×C₄×D₁₁	C₂⁴	1	8	yes	—
424	C₂×C₄×D₁₁	C₂⁴	1	8	yes	—
425	C₂×C₄×D₁₁	C₂⁴	1	8	yes	—
426	C₂×C₄×D₁₁	C₂⁴	1	8	yes	—
427	C₂×C₄×D₁₁	C₂⁴	1	8	yes	—
428	C₂×C₄×D₁₁	C₂⁴	1	8	yes	—
429	C₂×Dic₂₂	—	2	4	no	—
430	C₂×Dic₂₂	—	2	4	no	—
431	C₂×Dic₂₂	—	4	4	no	—
432	C₂×Dic₂₂	C₂⁴	1	4	yes	—
433	C₂×Dic₂₂	C₂⁴	1	4	yes	—
434	C₂×Dic₂₂	C₂⁴	1	8	yes	—
435	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
436	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
437	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
438	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
439	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
440	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
441	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
442	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
443	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
444	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
445	C₁₁×C₂²⋊C₄	C₂⁴	1	4	yes	—
446	C₁₁×C₂²⋊C₄	C₂⁴	1	4	yes	—
447	C₁₁×C₂²⋊C₄	C₂⁴	1	4	yes	—
448	C₁₁×C₂²⋊C₄	C₂⁴	1	4	yes	—
449	C₁₁×C₂²⋊C₄	C₂⁴	1	4	yes	—
450	C₁₁×C₂²⋊C₄	C₂⁴	1	4	yes	—
451	C₁₁×C₂²⋊C₄	C₂⁴	1	4	yes	—
452	C₁₁×C₂²⋊C₄	C₂⁴	1	4	yes	—
453	C₁₁×C₂²⋊C₄	C₂⁴	1	4	yes	—
454	C₁₁×C₂²⋊C₄	C₂⁴	1	4	yes	—
455	C₄²×C₁₁	C₂⁴	1	4	yes	—
456	C₄²×C₁₁	C₂⁴	1	4	yes	—
457	C₄²×C₁₁	C₂⁴	1	4	yes	—
458	C₄²×C₁₁	C₂⁴	1	4	yes	—
459	C₄²×C₁₁	C₂⁴	1	4	yes	—
460	C₄²×C₁₁	C₂⁴	1	4	yes	—
461	C₂²⋊Dic₁₁	C₂⁴	1	8	yes	—
462	C₂²⋊Dic₁₁	C₂⁴	1	8	yes	—
463	C₂²⋊Dic₁₁	C₂⁴	1	8	yes	—
464	C₂²⋊Dic₁₁	C₂⁴	1	8	yes	—
465	C₂²⋊Dic₁₁	C₂⁴	1	8	yes	—
466	C₂²⋊Dic₁₁	C₂⁴	1	8	yes	—
467	(C₂×D₁₁)⋊C₄	C₂⁴	1	8	yes	—
468	(C₂×D₁₁)⋊C₄	C₂⁴	1	8	yes	—
469	(C₂×D₁₁)⋊C₄	C₂⁴	1	8	yes	—
470	(C₂×D₁₁)⋊C₄	C₂⁴	1	8	yes	—
471	(C₂×D₁₁)⋊C₄	C₂⁴	1	8	yes	—
472	(C₂×D₁₁)⋊C₄	C₂⁴	1	8	yes	—
473	(C₂×D₁₁)⋊C₄	C₂⁴	1	8	yes	—
474	(C₂×D₁₁)⋊C₄	C₂⁴	1	8	yes	—
475	(C₂×D₁₁)⋊C₄	C₂⁴	1	8	yes	—
476	(C₂×D₁₁)⋊C₄	C₂⁴	1	8	yes	—
477	(C₂×D₁₁)⋊C₄	C₂⁴	1	8	yes	—
478	(C₂×D₁₁)⋊C₄	C₂⁴	1	8	yes	—
479	C₄⋊Dic₁₁	C₂⁴	1	4	yes	—
480	C₄⋊Dic₁₁	C₂⁴	1	4	yes	—
481	C₄⋊Dic₁₁	C₂⁴	1	4	yes	—
482	C₄⋊Dic₁₁	C₂⁴	1	4	yes	—
483	C₄⋊Dic₁₁	C₂⁴	1	8	yes	—
484	C₄⋊Dic₁₁	C₂⁴	1	8	yes	—
485	C₄⋊Dic₁₁	C₂⁴	1	8	yes	—
486	C₄⋊Dic₁₁	C₂⁴	1	8	yes	—
487	Dic₁₁⋊C₄	C₂⁴	1	8	yes	—
488	Dic₁₁⋊C₄	C₂⁴	1	8	yes	—
489	Dic₁₁⋊C₄	C₂⁴	1	8	yes	—
490	Dic₁₁⋊C₄	C₂⁴	1	8	yes	—
491	Dic₁₁⋊C₄	C₂⁴	1	8	yes	—
492	Dic₁₁⋊C₄	C₂⁴	1	8	yes	—
493	Dic₁₁⋊C₄	C₂⁴	1	8	yes	—
494	Dic₁₁⋊C₄	C₂⁴	1	8	yes	—
495	Dic₁₁⋊C₄	C₂⁴	1	8	yes	—
496	Dic₁₁⋊C₄	C₂⁴	1	8	yes	—
497	Dic₁₁⋊C₄	C₂⁴	1	8	yes	—
498	Dic₁₁⋊C₄	C₂⁴	1	8	yes	—
499	C₄×Dic₁₁	C₂⁴	1	8	yes	—
500	C₄×Dic₁₁	C₂⁴	1	8	yes	—
501	C₄×Dic₁₁	C₂⁴	1	8	yes	—
502	C₄×Dic₁₁	C₂⁴	1	8	yes	—
503	C₄×Dic₁₁	C₂⁴	1	8	yes	—
504	C₄×Dic₁₁	C₂⁴	1	8	yes	—
505	#3521	—	11	32	no	—
506	C₂×#556	—	11	1	no	—
507	C₂×#556	—	11	1	no	—
508	C₂×#554	—	11	1	no	—
509	C₂×#553	—	11	2	no	—
510	C₂×#553	—	11	1	no	—
511	C₂×#552	—	11	2	no	—
512	C₂×#552	—	11	1	no	—
513	C₂×#551	—	11	2	no	—
514	C₂×#551	—	11	2	no	—
515	C₂×#547	—	11	1	no	—
516	C₂×#546	—	11	1	no	—
517	C₂×#546	—	11	1	no	—
518	C₂×#542	—	11	1	no	—
519	C₂×#541	—	11	1	no	—
520	C₂×#539	—	11	2	no	—
521	C₂×#538	—	11	2	no	—
522	C₂×#529	—	11	1	no	—
523	C₂×#529	—	11	2	no	—
524	C₂×#529	D₁₁	1	1	yes	characteristic, complemented
525	C₂²×#126	—	11	2	no	—
526	C₂×#520	—	11	1	no	—
527	C₂×#518	—	11	1	no	—
528	C₂×C₄×#41	—	11	1	no	—
529	C₂³×C₁₁	—	2	2	no	—
530	C₂³×C₁₁	—	2	2	no	—
531	C₂³×C₁₁	—	2	2	no	—
532	C₂³×C₁₁	—	2	2	no	—
533	C₂³×C₁₁	—	2	2	no	—
534	C₂³×C₁₁	—	2	2	no	—
535	C₂³×C₁₁	—	2	2	no	—
536	C₂³×C₁₁	—	2	2	no	—
537	C₂³×C₁₁	—	2	2	no	—
538	C₂³×C₁₁	C₂⁵	1	2	yes	—
539	C₂³×C₁₁	C₂⁵	1	2	yes	—
540	C₂³×C₁₁	C₂⁵	1	2	yes	—
541	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
542	C₂²×D₁₁	—	2	4	no	—
543	C₂²×D₁₁	—	2	4	no	—
544	C₂²×D₁₁	—	2	4	no	—
545	C₂²×D₁₁	—	2	4	no	—
546	C₂²×D₁₁	—	2	4	no	—
547	C₂²×D₁₁	—	2	16	no	—
548	C₂²×D₁₁	—	4	8	no	—
549	C₂²×D₁₁	—	4	8	no	—
550	C₂²×D₁₁	—	8	16	no	—
551	C₂²×D₁₁	C₂×#41	1	8	yes	—
552	C₂²×D₁₁	C₂⁵	1	4	yes	—
553	C₂²×D₁₁	C₂⁵	1	4	yes	—
554	Q₈×C₁₁	—	4	4	no	—
555	D₄×C₁₁	—	4	4	no	—
556	D₄×C₁₁	—	4	4	no	—
557	D₄×C₁₁	—	4	4	no	—
558	C₂×C₄×C₁₁	—	2	2	no	—
559	C₂×C₄×C₁₁	—	2	2	no	—
560	C₂×C₄×C₁₁	—	2	2	no	—
561	C₂×C₄×C₁₁	—	2	2	no	—
562	C₂×C₄×C₁₁	—	2	2	no	—
563	C₂×C₄×C₁₁	—	2	2	no	—
564	C₂×C₄×C₁₁	—	2	2	no	—
565	C₂×C₄×C₁₁	—	2	2	no	—
566	C₂×C₄×C₁₁	—	2	2	no	—
567	C₂×C₄×C₁₁	—	2	2	no	—
568	C₂×C₄×C₁₁	—	2	2	no	—
569	C₂×C₄×C₁₁	—	2	8	no	—
570	C₂×C₄×C₁₁	—	2	8	no	—
571	C₂×C₄×C₁₁	—	2	8	no	—
572	C₂×C₄×C₁₁	—	4	4	no	—
573	C₂×C₄×C₁₁	—	4	4	no	—
574	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
575	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
576	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
577	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
578	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
579	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
580	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
581	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
582	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
583	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
584	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
585	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
586	C₂×C₄×C₁₁	C₂⁵	1	2	yes	—
587	C₂²⋊D₁₁	—	2	16	no	—
588	C₂²⋊D₁₁	—	2	16	no	—
589	C₂²⋊D₁₁	—	4	8	no	—
590	C₂²⋊D₁₁	—	4	8	no	—
591	C₂×Dic₁₁	—	2	4	no	—
592	C₂×Dic₁₁	—	2	4	no	—
593	C₂×Dic₁₁	—	2	4	no	—
594	C₂×Dic₁₁	—	2	4	no	—
595	C₂×Dic₁₁	—	2	4	no	—
596	C₂×Dic₁₁	—	2	4	no	—
597	C₂×Dic₁₁	—	4	8	no	—
598	C₂×Dic₁₁	C₂⁵	1	4	yes	—
599	C₂×Dic₁₁	C₂⁵	1	4	yes	—
600	C₂×Dic₁₁	C₂⁵	1	4	yes	—
601	C₂×Dic₁₁	C₂⁵	1	4	yes	—
602	C₂×Dic₁₁	C₂⁵	1	4	yes	—
603	C₂×Dic₁₁	C₂⁵	1	4	yes	—
604	D₄₄	—	2	16	no	—
605	D₄₄	—	2	8	no	—
606	D₄₄	C₂×#41	1	16	yes	—
607	C₄×D₁₁	—	2	16	no	—
608	C₄×D₁₁	—	2	16	no	—
609	C₄×D₁₁	—	4	8	no	—
610	C₄×D₁₁	—	4	8	no	—
611	C₄×D₁₁	—	4	8	no	—
612	C₄×D₁₁	—	4	8	no	—
613	C₄×D₁₁	—	4	8	no	—
614	C₄×D₁₁	—	4	8	no	—
615	Dic₂₂	—	2	8	no	—
616	Dic₂₂	—	2	8	no	—
617	Dic₂₂	—	4	8	no	—
618	C₂²×#41	—	11	1	no	—
619	C₂²×#41	—	11	1	no	—
620	C₂³×D₄	—	11	1	no	—
621	#556	—	11	16	no	—
622	#556	—	11	16	no	—
623	#554	—	11	16	no	—
624	#553	—	11	32	no	—
625	#553	—	11	16	no	—
626	#552	—	11	32	no	—
627	#552	—	11	16	no	—
628	#551	—	11	32	no	—
629	#551	—	11	32	no	—
630	#547	—	11	16	no	—
631	#546	—	11	16	no	—
632	#546	—	11	16	no	—
633	#542	—	11	16	no	—
634	#541	—	11	16	no	—
635	#539	—	11	32	no	—
636	#538	—	11	32	no	—
637	C₂×C₄⋊Q₈	—	11	1	no	—
638	C₂×C₄⋊Q₈	—	11	1	no	—
639	#529	—	11	32	no	—
640	#529	—	11	16	no	—
641	#529	C₂×D₁₁	1	16	yes	complemented
642	C₂×#126	—	11	32	no	—
643	C₂×#126	—	11	2	no	—
644	C₂×#126	—	11	2	no	—
645	C₂×#126	—	11	2	no	—
646	C₂×#126	—	11	2	no	—
647	C₂×#126	—	11	2	no	—
648	C₂×#126	—	11	2	no	—
649	C₂×#126	—	11	2	no	—
650	C₂×#126	—	11	2	no	—
651	C₂×#126	—	11	2	no	—
652	C₂×#126	—	11	2	no	—
653	C₂×#126	C₂×D₁₁	1	1	yes	characteristic
654	C₂×#126	C₂×D₁₁	1	1	yes	characteristic, complemented
655	C₂×#125	—	11	2	no	—
656	C₂×#125	—	11	2	no	—
657	C₂×#125	—	11	2	no	—
658	C₂×#125	—	11	1	no	—
659	C₂×#125	—	11	1	no	—
660	C₂×#125	C₂×D₁₁	1	1	yes	characteristic, complemented
661	C₂×#124	—	11	2	no	—
662	C₂×#124	—	11	2	no	—
663	C₂×#124	—	11	1	no	—
664	C₂×#124	—	11	1	no	—
665	C₂×#124	C₂×D₁₁	1	1	yes	characteristic
666	C₂×#123	—	11	2	no	—
667	C₂×#123	—	11	2	no	—
668	C₂×#123	—	11	2	no	—
669	C₂×#123	—	11	2	no	—
670	C₂×#123	—	11	2	no	—
671	C₂×#123	—	11	2	no	—
672	C₂×#123	—	11	2	no	—
673	C₂×#123	—	11	2	no	—
674	C₂×#123	C₂×D₁₁	1	1	yes	characteristic
675	C₂×#123	C₂×D₁₁	1	1	yes	characteristic, complemented
676	C₂×C₂²⋊Q₈	—	11	2	no	—
677	C₂×C₂²⋊Q₈	—	11	2	no	—
678	C₂×C₂²⋊Q₈	—	11	1	no	—
679	C₂×C₂²⋊Q₈	—	11	1	no	—
680	C₂×C₂²⋊Q₈	—	11	1	no	—
681	C₂×C₂²⋊Q₈	—	11	1	no	—
682	C₂×C₂²⋊Q₈	—	11	2	no	—
683	C₂×C₂²⋊Q₈	—	11	2	no	—
684	C₂×C₂²⋊Q₈	—	11	2	no	—
685	C₂×C₂²⋊Q₈	C₂×D₁₁	1	1	yes	characteristic, complemented
686	C₂×#121	—	11	2	no	—
687	C₂×#121	—	11	2	no	—
688	C₂×#121	—	11	1	no	—
689	C₂×#121	—	11	1	no	—
690	C₂×#121	—	11	2	no	—
691	C₂×#121	—	11	2	no	—
692	C₂×#121	C₂×D₁₁	1	1	yes	characteristic
693	C₂×#120	—	11	2	no	—
694	C₂×#120	—	11	2	no	—
695	#520	—	11	16	no	—
696	#518	—	11	16	no	—
697	C₄×#41	—	11	16	no	—
698	C₂×C₄×Q₈	—	11	2	no	—
699	C₂×C₄×Q₈	—	11	1	no	—
700	C₂×C₄×Q₈	—	11	1	no	—
701	C₂×C₄×Q₈	—	11	1	no	—
702	C₂×C₄×Q₈	—	11	1	no	—
703	C₂×C₄×Q₈	C₂×D₁₁	1	1	yes	characteristic, complemented
704	C₂×C₄×D₄	—	11	2	no	—
705	C₂×C₄×D₄	—	11	2	no	—
706	C₂×C₄×D₄	—	11	2	no	—
707	C₂×C₄×D₄	—	11	2	no	—
708	C₂×C₄×D₄	—	11	2	no	—
709	C₂×C₄×D₄	—	11	2	no	—
710	C₂×C₄×D₄	—	11	2	no	—
711	C₂×C₄×D₄	—	11	2	no	—
712	C₂×C₄×D₄	—	11	1	no	—
713	C₂×C₄×D₄	—	11	1	no	—
714	C₂×C₄×D₄	—	11	1	no	—
715	C₂×C₄×D₄	—	11	1	no	—
716	C₂×C₄×D₄	—	11	1	no	—
717	C₂×C₄×D₄	—	11	1	no	—
718	C₂×C₄×D₄	C₂×D₁₁	1	1	yes	characteristic
719	C₂×C₄×D₄	C₂×D₁₁	1	1	yes	characteristic
720	C₂×C₄×D₄	C₂×D₁₁	1	1	yes	characteristic, complemented
721	C₂×#117	—	11	1	no	—
722	C₂×#117	—	11	1	no	—
723	C₂×#117	—	11	2	no	—
724	C₂×#117	—	11	2	no	—
725	C₂×#117	—	11	2	no	—
726	C₂×#117	—	11	2	no	—
727	C₂×#117	—	11	2	no	—
728	C₂×#117	C₂×D₁₁	1	1	yes	characteristic
729	C₂×#117	C₂×D₁₁	1	1	yes	characteristic, complemented
730	C₂²×C₄⋊C₄	—	11	1	no	—
731	C₂²×C₄⋊C₄	—	11	2	no	—
732	C₂²×C₄⋊C₄	—	11	2	no	—
733	C₂²×C₄⋊C₄	—	11	2	no	—
734	C₂²×C₂²⋊C₄	—	11	2	no	—
735	C₂²×C₂²⋊C₄	—	11	2	no	—
736	C₂²×C₂²⋊C₄	—	11	2	no	—
737	C₂²×C₂²⋊C₄	—	11	2	no	—
738	C₂²×C₄²	—	11	2	no	—
739	C₂²×C₄²	C₂×D₁₁	1	1	yes	characteristic, complemented
740	C₂²×C₁₁	—	2	2	no	—
741	C₂²×C₁₁	—	2	2	no	—
742	C₂²×C₁₁	—	2	2	no	—
743	C₂²×C₁₁	—	2	2	no	—
744	C₂²×C₁₁	—	2	2	no	—
745	C₂²×C₁₁	—	2	2	no	—
746	C₂²×C₁₁	—	2	2	no	—
747	C₂²×C₁₁	—	2	2	no	—
748	C₂²×C₁₁	—	2	2	no	—
749	C₂²×C₁₁	—	4	4	no	—
750	C₂²×C₁₁	—	4	4	no	—
751	C₂²×C₁₁	—	4	4	no	—
752	C₂²×C₁₁	C₂²×#41	1	2	yes	—
753	C₂²×C₁₁	#585	1	2	yes	—
754	C₂²×C₁₁	#585	1	2	yes	—
755	C₂²×C₁₁	C₂⁶	1	1	yes	characteristic
756	C₂×D₁₁	—	2	4	no	—
757	C₂×D₁₁	—	2	4	no	—
758	C₂×D₁₁	—	2	16	no	—
759	C₂×D₁₁	—	2	4	no	—
760	C₂×D₁₁	—	2	4	no	—
761	C₂×D₁₁	—	2	4	no	—
762	C₂×D₁₁	—	4	8	no	—
763	C₂×D₁₁	—	8	16	no	—
764	C₂×D₁₁	C₂²×#41	1	8	yes	—
765	C₄×C₁₁	—	2	2	no	—
766	C₄×C₁₁	—	2	2	no	—
767	C₄×C₁₁	—	2	2	no	—
768	C₄×C₁₁	—	2	2	no	—
769	C₄×C₁₁	—	2	2	no	—
770	C₄×C₁₁	—	2	2	no	—
771	C₄×C₁₁	—	2	2	no	—
772	C₄×C₁₁	—	2	2	no	—
773	C₄×C₁₁	—	2	2	no	—
774	C₄×C₁₁	—	2	2	no	—
775	C₄×C₁₁	—	2	2	no	—
776	C₄×C₁₁	C₂²×#41	1	4	yes	—
777	Dic₁₁	—	2	4	no	—
778	Dic₁₁	—	2	4	no	—
779	Dic₁₁	—	2	4	no	—
780	Dic₁₁	—	2	4	no	—
781	Dic₁₁	—	2	4	no	—
782	Dic₁₁	—	2	4	no	—
783	C₂⁵	—	11	2	no	—
784	C₂×#41	—	11	8	no	—
785	C₂×#41	—	11	8	no	—
786	C₂×#41	—	22	8	no	—
787	C₂×#41	—	22	8	no	—
788	C₂²×Q₈	—	11	1	no	—
789	C₂²×Q₈	—	11	1	no	—
790	C₂²×Q₈	—	11	2	no	—
791	C₂²×Q₈	C₂²×D₁₁	1	1	yes	characteristic
792	C₂²×D₄	—	11	2	no	—
793	C₂²×D₄	—	11	2	no	—
794	C₂²×D₄	—	11	2	no	—
795	C₂²×D₄	—	11	2	no	—
796	C₂²×D₄	—	11	1	no	—
797	C₂²×D₄	—	11	2	no	—
798	C₂²×D₄	—	11	1	no	—
799	C₂²×D₄	—	11	8	no	—
800	C₂²×D₄	—	22	8	no	—
801	C₂²×D₄	C₂²×D₁₁	1	1	yes	characteristic
802	C₂²×D₄	C₂²×D₁₁	1	1	yes	characteristic
803	C₂²×D₄	C₂²×D₁₁	1	1	yes	characteristic
804	C₂³×C₄	—	11	2	no	—
805	C₂³×C₄	—	11	2	no	—
806	C₂³×C₄	—	11	2	no	—
807	C₂³×C₄	—	11	2	no	—
808	C₂³×C₄	—	11	2	no	—
809	C₂³×C₄	—	11	2	no	—
810	C₂³×C₄	—	11	2	no	—
811	C₂³×C₄	—	11	2	no	—
812	C₂³×C₄	—	11	2	no	—
813	C₂³×C₄	C₂²×D₁₁	1	1	yes	characteristic
814	C₂³×C₄	C₂²×D₁₁	1	1	yes	characteristic
815	C₂³×C₄	C₂²×D₁₁	1	1	yes	characteristic
816	C₂³×C₄	C₂²×D₁₁	1	1	yes	characteristic
817	C₂³×C₄	C₂²×D₁₁	1	1	yes	characteristic
818	C₄⋊Q₈	—	11	8	no	—
819	C₄⋊Q₈	—	11	8	no	—
820	#126	—	11	16	no	—
821	#126	—	11	16	no	—
822	#126	—	11	16	no	—
823	#126	—	11	16	no	—
824	#126	—	11	16	no	—
825	#126	—	11	16	no	—
826	#126	—	11	16	no	—
827	#126	—	11	16	no	—
828	#126	—	11	16	no	—
829	#126	—	11	16	no	—
830	#126	C₂²×D₁₁	1	8	yes	—
831	#126	C₂²×D₁₁	1	8	yes	complemented
832	#125	—	11	16	no	—
833	#125	—	11	16	no	—
834	#125	—	11	16	no	—
835	#125	—	11	8	no	—
836	#125	—	11	8	no	—
837	#125	C₂²×D₁₁	1	8	yes	complemented
838	#124	—	11	16	no	—
839	#124	—	11	16	no	—
840	#124	—	11	8	no	—
841	#124	—	11	8	no	—
842	#124	C₂²×D₁₁	1	8	yes	—
843	#123	—	11	16	no	—
844	#123	—	11	16	no	—
845	#123	—	11	16	no	—
846	#123	—	11	16	no	—
847	#123	—	11	16	no	—
848	#123	—	11	16	no	—
849	#123	—	11	16	no	—
850	#123	—	11	16	no	—
851	#123	C₂²×D₁₁	1	8	yes	—
852	#123	C₂²×D₁₁	1	8	yes	complemented
853	C₂²⋊Q₈	—	11	16	no	—
854	C₂²⋊Q₈	—	11	16	no	—
855	C₂²⋊Q₈	—	11	8	no	—
856	C₂²⋊Q₈	—	11	8	no	—
857	C₂²⋊Q₈	—	11	8	no	—
858	C₂²⋊Q₈	—	11	8	no	—
859	C₂²⋊Q₈	—	11	16	no	—
860	C₂²⋊Q₈	—	11	16	no	—
861	C₂²⋊Q₈	—	11	16	no	—
862	C₂²⋊Q₈	C₂²×D₁₁	1	8	yes	complemented
863	#121	—	11	16	no	—
864	#121	—	11	16	no	—
865	#121	—	11	8	no	—
866	#121	—	11	8	no	—
867	#121	—	11	16	no	—
868	#121	—	11	16	no	—
869	#121	C₂²×D₁₁	1	8	yes	—
870	#120	—	11	16	no	—
871	#120	—	11	16	no	—
872	C₄×Q₈	—	11	16	no	—
873	C₄×Q₈	—	11	8	no	—
874	C₄×Q₈	—	11	8	no	—
875	C₄×Q₈	—	11	8	no	—
876	C₄×Q₈	—	11	8	no	—
877	C₄×Q₈	C₂²×D₁₁	1	8	yes	complemented
878	C₄×D₄	—	11	16	no	—
879	C₄×D₄	—	11	16	no	—
880	C₄×D₄	—	11	16	no	—
881	C₄×D₄	—	11	16	no	—
882	C₄×D₄	—	11	16	no	—
883	C₄×D₄	—	11	16	no	—
884	C₄×D₄	—	11	16	no	—
885	C₄×D₄	—	11	16	no	—
886	C₄×D₄	—	11	8	no	—
887	C₄×D₄	—	11	8	no	—
888	C₄×D₄	—	11	8	no	—
889	C₄×D₄	—	11	8	no	—
890	C₄×D₄	—	11	8	no	—
891	C₄×D₄	—	11	8	no	—
892	C₄×D₄	C₂²×D₁₁	1	8	yes	—
893	C₄×D₄	C₂²×D₁₁	1	8	yes	—
894	C₄×D₄	C₂²×D₁₁	1	8	yes	complemented
895	#117	—	11	8	no	—
896	#117	—	11	8	no	—
897	#117	—	11	16	no	—
898	#117	—	11	16	no	—
899	#117	—	11	16	no	—
900	#117	—	11	16	no	—
901	#117	—	11	16	no	—
902	#117	C₂²×D₁₁	1	8	yes	—
903	#117	C₂²×D₁₁	1	8	yes	complemented
904	C₂×C₄⋊C₄	—	11	2	no	—
905	C₂×C₄⋊C₄	—	11	1	no	—
906	C₂×C₄⋊C₄	—	11	2	no	—
907	C₂×C₄⋊C₄	—	11	2	no	—
908	C₂×C₄⋊C₄	—	11	1	no	—
909	C₂×C₄⋊C₄	—	11	2	no	—
910	C₂×C₄⋊C₄	—	11	2	no	—
911	C₂×C₄⋊C₄	—	11	8	no	—
912	C₂×C₄⋊C₄	—	11	2	no	—
913	C₂×C₄⋊C₄	—	11	2	no	—
914	C₂×C₄⋊C₄	—	11	2	no	—
915	C₂×C₄⋊C₄	—	11	2	no	—
916	C₂×C₄⋊C₄	—	11	1	no	—
917	C₂×C₄⋊C₄	—	11	1	no	—
918	C₂×C₄⋊C₄	—	11	2	no	—
919	C₂×C₄⋊C₄	—	11	2	no	—
920	C₂×C₄⋊C₄	—	11	2	no	—
921	C₂×C₄⋊C₄	—	11	2	no	—
922	C₂×C₄⋊C₄	—	11	2	no	—
923	C₂×C₄⋊C₄	—	11	2	no	—
924	C₂×C₄⋊C₄	—	11	2	no	—
925	C₂×C₄⋊C₄	—	11	16	no	—
926	C₂×C₄⋊C₄	—	11	16	no	—
927	C₂×C₄⋊C₄	—	11	16	no	—
928	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
929	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
930	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
931	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
932	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
933	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
936	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
937	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	—	11	2	no	—
939	C₂×C₂²⋊C₄	—	11	2	no	—
940	C₂×C₂²⋊C₄	—	11	2	no	—
941	C₂×C₂²⋊C₄	—	11	2	no	—
942	C₂×C₂²⋊C₄	—	11	2	no	—
943	C₂×C₂²⋊C₄	—	11	2	no	—
944	C₂×C₂²⋊C₄	—	11	2	no	—
945	C₂×C₂²⋊C₄	—	11	2	no	—
946	C₂×C₂²⋊C₄	—	11	2	no	—
947	C₂×C₂²⋊C₄	—	11	2	no	—
948	C₂×C₂²⋊C₄	—	11	2	no	—
949	C₂×C₂²⋊C₄	—	11	2	no	—
950	C₂×C₂²⋊C₄	—	11	2	no	—
951	C₂×C₂²⋊C₄	—	11	2	no	—
952	C₂×C₂²⋊C₄	—	11	2	no	—
953	C₂×C₂²⋊C₄	—	11	2	no	—
954	C₂×C₂²⋊C₄	—	11	2	no	—
955	C₂×C₂²⋊C₄	—	11	2	no	—
956	C₂×C₂²⋊C₄	—	11	16	no	—
957	C₂×C₂²⋊C₄	—	11	16	no	—
958	C₂×C₂²⋊C₄	—	11	16	no	—
959	C₂×C₂²⋊C₄	—	11	16	no	—
960	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
962	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
963	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
964	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
965	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
966	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
967	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
968	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
969	C₂×C₂²⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
970	C₂×C₄²	—	11	2	no	—
971	C₂×C₄²	—	11	2	no	—
972	C₂×C₄²	—	11	2	no	—
973	C₂×C₄²	—	11	2	no	—
974	C₂×C₄²	—	11	2	no	—
975	C₂×C₄²	—	11	2	no	—
976	C₂×C₄²	—	11	16	no	—
977	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
978	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
979	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
980	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
981	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
982	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
983	C₂×C₄²	C₂²×D₁₁	1	8	yes	complemented
984	C₂×C₁₁	—	4	2	no	—
985	C₂×C₁₁	—	4	2	no	—
986	C₂×C₁₁	—	4	2	no	—
987	C₂×C₁₁	#3521	1	4	yes	complemented
988	C₂×C₁₁	C₂³×#41	1	1	yes	characteristic
989	C₂×C₁₁	C₂×#585	1	1	yes	characteristic
990	C₂×C₁₁	C₂×#585	1	1	yes	characteristic
991	D₁₁	—	2	8	no	—
992	D₁₁	—	4	4	no	—
993	C₂⁴	—	11	2	no	—
994	C₂⁴	—	11	2	no	—
995	C₂⁴	—	11	8	no	—
996	C₂⁴	—	22	8	no	—
997	C₂⁴	—	44	4	no	—
998	C₂⁴	—	44	4	no	—
999	C₂⁴	C₂³×D₁₁	1	1	yes	characteristic
1000	C₂⁴	C₂³×D₁₁	1	1	yes	characteristic
1001	C₂⁴	C₂³×D₁₁	1	1	yes	characteristic
1002	#41	—	22	32	no	—
1003	#41	—	22	32	no	—
1004	C₂×Q₈	—	4	2	no	—
1005	C₂×Q₈	—	11	4	no	—
1006	C₂×Q₈	—	11	4	no	—
1007	C₂×Q₈	—	11	8	no	—
1008	C₂×Q₈	—	22	4	no	—
1009	C₂×Q₈	—	22	4	no	—
1010	C₂×Q₈	—	44	4	no	—
1011	C₂×Q₈	C₂³×D₁₁	1	4	yes	—
1012	C₂×D₄	—	4	2	no	—
1013	C₂×D₄	—	4	2	no	—
1014	C₂×D₄	—	4	2	no	—
1015	C₂×D₄	—	11	8	no	—
1016	C₂×D₄	—	11	8	no	—
1017	C₂×D₄	—	11	8	no	—
1018	C₂×D₄	—	11	8	no	—
1019	C₂×D₄	—	11	8	no	—
1020	C₂×D₄	—	11	4	no	—
1021	C₂×D₄	—	11	8	no	—
1022	C₂×D₄	—	11	4	no	—
1023	C₂×D₄	—	22	32	no	—
1024	C₂×D₄	—	22	8	no	—
1025	C₂×D₄	—	22	8	no	—
1026	C₂×D₄	—	22	8	no	—
1027	C₂×D₄	—	22	4	no	—
1028	C₂×D₄	—	44	4	no	—
1029	C₂×D₄	—	44	4	no	—
1030	C₂×D₄	C₂³×D₁₁	1	4	yes	—
1031	C₂×D₄	C₂³×D₁₁	1	4	yes	—
1032	C₂×D₄	C₂³×D₁₁	1	4	yes	—
1033	C₂²×C₄	—	2	4	no	—
1034	C₂²×C₄	—	2	4	no	—
1035	C₂²×C₄	—	2	4	no	—
1036	C₂²×C₄	—	4	2	no	—
1037	C₂²×C₄	—	4	2	no	—
1038	C₂²×C₄	—	11	2	no	—
1039	C₂²×C₄	—	11	2	no	—
1040	C₂²×C₄	—	11	2	no	—
1041	C₂²×C₄	—	11	2	no	—
1042	C₂²×C₄	—	11	2	no	—
1043	C₂²×C₄	—	11	2	no	—
1044	C₂²×C₄	—	11	8	no	—
1045	C₂²×C₄	—	11	8	no	—
1046	C₂²×C₄	—	11	8	no	—
1047	C₂²×C₄	—	11	8	no	—
1048	C₂²×C₄	—	11	8	no	—
1049	C₂²×C₄	—	11	8	no	—
1050	C₂²×C₄	—	11	8	no	—
1051	C₂²×C₄	—	11	8	no	—
1052	C₂²×C₄	—	11	8	no	—
1053	C₂²×C₄	—	22	8	no	—
1054	C₂²×C₄	—	22	8	no	—
1055	C₂²×C₄	—	44	4	no	—
1056	C₂²×C₄	—	44	4	no	—
1057	C₂²×C₄	—	44	4	no	—
1058	C₂²×C₄	—	44	4	no	—
1059	C₂²×C₄	—	44	4	no	—
1060	C₂²×C₄	—	44	4	no	—
1061	C₂²×C₄	—	44	4	no	—
1062	C₂²×C₄	C₂³×D₁₁	1	4	yes	—
1063	C₂²×C₄	C₂³×D₁₁	1	4	yes	—
1064	C₂²×C₄	C₂³×D₁₁	1	4	yes	—
1065	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1067	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1068	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1069	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1070	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1074	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1075	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1076	C₂²×C₄	C₂³×D₁₁	1	4	yes	—
1077	C₂²×C₄	C₂³×D₁₁	1	4	yes	—
1078	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1079	C₄⋊C₄	—	11	8	no	—
1080	C₄⋊C₄	—	11	4	no	—
1081	C₄⋊C₄	—	11	8	no	—
1082	C₄⋊C₄	—	11	8	no	—
1083	C₄⋊C₄	—	11	4	no	—
1084	C₄⋊C₄	—	11	8	no	—
1085	C₄⋊C₄	—	11	8	no	—
1086	C₄⋊C₄	—	11	8	no	—
1087	C₄⋊C₄	—	11	8	no	—
1088	C₄⋊C₄	—	11	8	no	—
1089	C₄⋊C₄	—	11	8	no	—
1090	C₄⋊C₄	—	11	4	no	—
1091	C₄⋊C₄	—	11	4	no	—
1092	C₄⋊C₄	—	11	8	no	—
1093	C₄⋊C₄	—	11	8	no	—
1094	C₄⋊C₄	—	11	8	no	—
1095	C₄⋊C₄	—	11	8	no	—
1096	C₄⋊C₄	—	11	8	no	—
1097	C₄⋊C₄	—	11	8	no	—
1098	C₄⋊C₄	—	11	8	no	—
1099	C₄⋊C₄	C₂³×D₁₁	1	4	yes	—
1100	C₄⋊C₄	C₂³×D₁₁	1	4	yes	—
1101	C₄⋊C₄	C₂³×D₁₁	1	4	yes	—
1102	C₄⋊C₄	C₂³×D₁₁	1	4	yes	—
1103	C₄⋊C₄	C₂³×D₁₁	1	4	yes	—
1104	C₄⋊C₄	C₂³×D₁₁	1	4	yes	—
1105	C₄⋊C₄	C₂³×D₁₁	1	4	yes	—
1106	C₄⋊C₄	C₂³×D₁₁	1	4	yes	—
1107	C₄⋊C₄	C₂³×D₁₁	1	4	yes	—
1108	C₄⋊C₄	C₂³×D₁₁	1	4	yes	—
1109	C₂²⋊C₄	—	11	8	no	—
1110	C₂²⋊C₄	—	11	8	no	—
1111	C₂²⋊C₄	—	11	8	no	—
1112	C₂²⋊C₄	—	11	8	no	—
1113	C₂²⋊C₄	—	11	8	no	—
1114	C₂²⋊C₄	—	11	8	no	—
1115	C₂²⋊C₄	—	11	8	no	—
1116	C₂²⋊C₄	—	11	8	no	—
1117	C₂²⋊C₄	—	11	8	no	—
1118	C₂²⋊C₄	—	11	8	no	—
1119	C₂²⋊C₄	—	11	8	no	—
1120	C₂²⋊C₄	—	11	8	no	—
1121	C₂²⋊C₄	—	11	8	no	—
1122	C₂²⋊C₄	—	11	8	no	—
1123	C₂²⋊C₄	—	11	8	no	—
1124	C₂²⋊C₄	—	11	8	no	—
1125	C₂²⋊C₄	—	11	8	no	—
1126	C₂²⋊C₄	—	11	8	no	—
1127	C₂²⋊C₄	C₂³×D₁₁	1	4	yes	—
1128	C₂²⋊C₄	C₂³×D₁₁	1	4	yes	—
1129	C₂²⋊C₄	C₂³×D₁₁	1	4	yes	—
1130	C₂²⋊C₄	C₂³×D₁₁	1	4	yes	—
1131	C₂²⋊C₄	C₂³×D₁₁	1	4	yes	—
1132	C₂²⋊C₄	C₂³×D₁₁	1	4	yes	—
1133	C₂²⋊C₄	C₂³×D₁₁	1	4	yes	—
1134	C₂²⋊C₄	C₂³×D₁₁	1	4	yes	—
1135	C₂²⋊C₄	C₂³×D₁₁	1	4	yes	—
1136	C₂²⋊C₄	C₂³×D₁₁	1	4	yes	—
1137	C₄²	—	11	8	no	—
1138	C₄²	—	11	8	no	—
1139	C₄²	—	11	8	no	—
1140	C₄²	—	11	8	no	—
1141	C₄²	—	11	8	no	—
1142	C₄²	—	11	8	no	—
1143	C₄²	C₂³×D₁₁	1	4	yes	—
1144	C₄²	C₂³×D₁₁	1	4	yes	—
1145	C₄²	C₂³×D₁₁	1	4	yes	—
1146	C₄²	C₂³×D₁₁	1	4	yes	—
1147	C₄²	C₂³×D₁₁	1	4	yes	—
1148	C₄²	C₂³×D₁₁	1	4	yes	—
1149	C₁₁	C₂×#3521	1	1	yes	characteristic, complemented, Sylow
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	2	2	no	—
1153	C₂³	—	2	2	no	—
1154	C₂³	—	2	2	no	—
1155	C₂³	—	2	2	no	—
1156	C₂³	—	2	2	no	—
1157	C₂³	—	2	2	no	—
1158	C₂³	—	2	2	no	—
1159	C₂³	—	11	8	no	—
1160	C₂³	—	11	4	no	—
1161	C₂³	—	11	4	no	—
1162	C₂³	—	22	16	no	—
1163	C₂³	—	22	4	no	—
1164	C₂³	—	22	4	no	—
1165	C₂³	—	22	4	no	—
1166	C₂³	—	22	4	no	—
1167	C₂³	—	22	4	no	—
1168	C₂³	—	44	8	no	—
1169	C₂³	—	44	8	no	—
1170	C₂³	—	88	16	no	—
1171	C₂³	C₂⁴×D₁₁	1	2	yes	—
1172	C₂³	C₂⁴×D₁₁	1	2	yes	—
1173	C₂³	C₂⁴×D₁₁	1	2	yes	—
1174	C₂³	C₂⁴×D₁₁	1	1	yes	characteristic
1175	Q₈	—	4	4	no	—
1176	Q₈	—	22	8	no	—
1177	Q₈	—	22	8	no	—
1178	Q₈	—	44	8	no	—
1179	D₄	—	4	4	no	—
1180	D₄	—	4	4	no	—
1181	D₄	—	4	4	no	—
1182	D₄	—	11	16	no	—
1183	D₄	—	22	16	no	—
1184	D₄	—	22	16	no	—
1185	D₄	—	22	16	no	—
1186	D₄	—	22	8	no	—
1187	D₄	—	44	8	no	—
1188	D₄	—	44	8	no	—
1189	C₂×C₄	—	2	2	no	—
1190	C₂×C₄	—	2	2	no	—
1191	C₂×C₄	—	2	2	no	—
1192	C₂×C₄	—	2	2	no	—
1193	C₂×C₄	—	2	2	no	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	8	no	—
1201	C₂×C₄	—	2	8	no	—
1202	C₂×C₄	—	2	8	no	—
1203	C₂×C₄	—	4	4	no	—
1204	C₂×C₄	—	4	4	no	—
1205	C₂×C₄	—	11	4	no	—
1206	C₂×C₄	—	11	4	no	—
1207	C₂×C₄	—	11	4	no	—
1208	C₂×C₄	—	11	4	no	—
1209	C₂×C₄	—	11	4	no	—
1210	C₂×C₄	—	11	4	no	—
1211	C₂×C₄	—	22	16	no	—
1212	C₂×C₄	—	22	16	no	—
1213	C₂×C₄	—	22	4	no	—
1214	C₂×C₄	—	22	4	no	—
1215	C₂×C₄	—	22	4	no	—
1216	C₂×C₄	—	22	4	no	—
1217	C₂×C₄	—	22	4	no	—
1218	C₂×C₄	—	22	4	no	—
1219	C₂×C₄	—	44	8	no	—
1220	C₂×C₄	—	44	8	no	—
1221	C₂×C₄	—	44	8	no	—
1222	C₂×C₄	—	44	8	no	—
1223	C₂×C₄	—	44	8	no	—
1224	C₂×C₄	—	44	8	no	—
1225	C₂×C₄	—	44	8	no	—
1226	C₂×C₄	#41×D₁₁	1	4	yes	—
1227	C₂×C₄	C₂⁴×D₁₁	1	2	yes	—
1228	C₂×C₄	C₂⁴×D₁₁	1	2	yes	—
1229	C₂×C₄	C₂⁴×D₁₁	1	2	yes	—
1230	C₂×C₄	C₂⁴×D₁₁	1	2	yes	—
1231	C₂×C₄	C₂⁴×D₁₁	1	2	yes	—
1232	C₂×C₄	C₂⁴×D₁₁	1	2	yes	—
1233	C₂×C₄	C₂⁴×D₁₁	1	2	yes	—
1234	C₂×C₄	C₂⁴×D₁₁	1	2	yes	—
1235	C₂×C₄	C₂⁴×D₁₁	1	2	yes	—
1236	C₂×C₄	C₂⁴×D₁₁	1	2	yes	—
1237	C₂×C₄	C₂⁴×D₁₁	1	2	yes	—
1238	C₂×C₄	C₂⁴×D₁₁	1	2	yes	—
1239	C₂²	—	2	2	no	—
1240	C₂²	—	2	2	no	—
1241	C₂²	—	2	2	no	—
1242	C₂²	—	2	2	no	—
1243	C₂²	—	2	2	no	—
1244	C₂²	—	2	2	no	—
1245	C₂²	—	2	2	no	—
1246	C₂²	—	2	2	no	—
1247	C₂²	—	2	2	no	—
1248	C₂²	—	4	4	no	—
1249	C₂²	—	4	4	no	—
1250	C₂²	—	4	4	no	—
1251	C₂²	—	11	8	no	—
1252	C₂²	—	22	4	no	—
1253	C₂²	—	22	4	no	—
1254	C₂²	—	22	16	no	—
1255	C₂²	—	22	4	no	—
1256	C₂²	—	22	4	no	—
1257	C₂²	—	22	4	no	—
1258	C₂²	—	44	8	no	—
1259	C₂²	—	88	16	no	—
1260	C₂²	C₂×#41×D₁₁	1	2	yes	—
1261	C₂²	#10623453	1	2	yes	—
1262	C₂²	#10623453	1	2	yes	—
1263	C₂²	C₂⁵×D₁₁	1	1	yes	characteristic
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	2	no	—
1267	C₄	—	2	2	no	—
1268	C₄	—	2	2	no	—
1269	C₄	—	2	2	no	—
1270	C₄	—	2	2	no	—
1271	C₄	—	2	2	no	—
1272	C₄	—	2	2	no	—
1273	C₄	—	2	2	no	—
1274	C₄	—	2	2	no	—
1275	C₄	—	22	4	no	—
1276	C₄	—	22	4	no	—
1277	C₄	—	22	4	no	—
1278	C₄	—	22	4	no	—
1279	C₄	—	22	4	no	—
1280	C₄	—	22	4	no	—
1281	C₄	C₂×#41×D₁₁	1	4	yes	—
1282	C₂	—	4	2	no	—
1283	C₂	—	4	2	no	—
1284	C₂	—	4	2	no	—
1285	C₂	—	22	8	no	—
1286	C₂	—	44	4	no	—
1287	C₂	#13082688	1	4	yes	direct product factor
1288	C₂	C₂²×#41×D₁₁	1	1	yes	characteristic
1289	C₂	C₂×#10623453	1	1	yes	characteristic
1290	C₂	C₂×#10623453	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₁
commutator, cosocle	C₂²×C₁₁	C₂⁶
Frattini	C₂²	C₂⁵×D₁₁
Fitting	C₂×C₁₁×#529	C₂
socle	C₂³×C₁₁	C₂⁵
hypercenter	C₂×#529	D₁₁
hypocenter	C₁₁	C₂×#3521
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂³ ◁ C₂×#529

Complements

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

N	H ≅ G/N	type
1. #13082688	C₂	direct (N × H)
2. C₂×#10623115	C₂	semidirect
3. C₂×#10623073	C₂	semidirect
4. C₂×#10623110	C₂	semidirect
5. C₂×#10623096	C₂	semidirect
6. C₂×#10623192	C₂	semidirect
7. C₂×#10623072	C₂	semidirect
8. C₂×#10623224	C₂	semidirect
9. C₂×#10623210	C₂	semidirect
10. C₂×#10623190	C₂	semidirect
11. C₂×#10623082	C₂	semidirect
12. C₂×#10623081	C₂	semidirect
13. C₂×#10623081	C₂	semidirect
14. C₂×#10623065	C₂	semidirect
15. C₂×#10623049	C₂	semidirect
16. C₂×#10623169	C₂	semidirect
17. C₂×#10623144	C₂	semidirect
18. C₂×#10623010	C₂	semidirect
19. C₂×#10623237	C₂	semidirect
20. C₂×D₁₁×#126	C₂	semidirect
21. C₂×#10623054	C₂	semidirect
22. C₂×#10623052	C₂	semidirect
23. C₂×C₄×#4339	C₂	semidirect
24. C₂×C₁₁×#529	C₂	semidirect
28. C₁₁×#529	C₂²	semidirect
30. C₂×C₁₁×#126	C₂²	semidirect
31. C₂×C₁₁×#125	C₂²	semidirect
34. C₂×C₁₁×#123	C₂²	semidirect
35. C₂×C₁₁×C₂²⋊Q₈	C₂²	semidirect
37. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
40. C₂×C₄×D₄×C₁₁	C₂²	semidirect
42. C₂×C₁₁×#117	C₂²	semidirect
43. C₂²×C₄²×C₁₁	C₂²	semidirect
44. C₂×#66999	C₂²	semidirect
45. C₂×#66999	C₂²	semidirect
46. C₂×#66992	C₂²	semidirect
47. C₂×#66991	C₂²	semidirect
54. C₂×#66982	C₂²	semidirect
55. C₂×C₄×C₂²⋊D₁₁	C₂²	semidirect
56. C₂×C₄×C₂²⋊D₁₁	C₂²	semidirect
57. C₂×C₄×C₂²⋊D₁₁	C₂²	semidirect
59. C₂×#66979	C₂²	semidirect
60. C₂²×C₄⋊Dic₁₁	C₂²	semidirect
63. C₂×#66977	C₂²	semidirect
64. C₂×#66977	C₂²	semidirect
65. #10623237	C₂²	semidirect
66. D₁₁×#126	C₂²	semidirect
67. #10623224	C₂²	semidirect
68. #10623210	C₂²	semidirect
69. #10623192	C₂²	semidirect
70. #10623190	C₂²	semidirect
71. #10623169	C₂²	semidirect
72. #10623144	C₂²	semidirect
73. #10623115	C₂²	semidirect
74. #10623110	C₂²	semidirect
75. #10623096	C₂²	semidirect
76. #10623082	C₂²	semidirect
77. #10623081	C₂²	semidirect
78. #10623081	C₂²	semidirect
79. #10623073	C₂²	semidirect
80. #10623072	C₂²	semidirect
81. #10623065	C₂²	semidirect
82. #10623054	C₂²	semidirect
83. #10623052	C₂²	semidirect
84. #10623049	C₂²	semidirect
85. C₂×#66951	C₂²	semidirect
86. C₂×#66951	C₂²	semidirect
87. C₂×#66951	C₂²	semidirect
88. C₂×#66951	C₂²	semidirect
89. C₂×#66949	C₂²	semidirect
90. C₂×#66949	C₂²	semidirect
91. C₂×#66949	C₂²	semidirect
96. C₂×#66945	C₂²	semidirect
97. C₂×#66945	C₂²	semidirect
98. C₂×C₄⋊C₄×D₁₁	C₂²	semidirect
99. C₂×C₄⋊C₄×D₁₁	C₂²	semidirect
100. C₂×C₄⋊C₄×D₁₁	C₂²	semidirect
101. C₂×#66942	C₂²	semidirect
102. C₂×#66942	C₂²	semidirect
103. C₂×#66942	C₂²	semidirect
104. C₂×#66940	C₂²	semidirect
105. C₂×#66938	C₂²	semidirect
108. C₂×#66936	C₂²	semidirect
109. C₂×#66936	C₂²	semidirect
110. C₂×#66936	C₂²	semidirect
111. C₂×#66936	C₂²	semidirect
112. C₂×(C₂²⋊D₁₁)⋊C₄	C₂²	semidirect
113. C₂×(C₂²⋊D₁₁)⋊C₄	C₂²	semidirect
114. C₂×(C₂²⋊D₁₁)⋊C₄	C₂²	semidirect
123. C₂×#66932	C₂²	semidirect
124. C₂×#66930	C₂²	semidirect
125. #10623010	C₂²	semidirect
126. C₂×#66929	C₂²	semidirect
129. C₄×#4339	C₂²	semidirect
136. C₂×#66925	C₂²	semidirect
137. C₂×#66925	C₂²	semidirect
138. C₂×C₄²×D₁₁	C₂²	semidirect
139. C₂×#66923	C₂²	semidirect
140. C₂×#66923	C₂²	semidirect
141. C₂×#66922	C₂²	semidirect
142. C₂×#66922	C₂²	semidirect
143. C₂×C₄×Dic₂₂	C₂²	semidirect
144. C₂×C₄×Dic₂₂	C₂²	semidirect
145. C₂×C₄×Dic₂₂	C₂²	semidirect
146. C₂×C₄×Dic₂₂	C₂²	semidirect
183. C₁₁×#126	C₂³	semidirect
184. C₁₁×#125	C₂³	semidirect
187. C₁₁×#123	C₂³	semidirect
188. C₁₁×C₂²⋊Q₈	C₂³	semidirect
190. C₄×Q₈×C₁₁	C₂³	semidirect
193. C₄×D₄×C₁₁	C₂³	semidirect
195. C₁₁×#117	C₂³	semidirect
222. C₂×C₄²×C₁₁	C₂³	semidirect
229. #66999	C₂³	semidirect
230. #66999	C₂³	semidirect
231. #66992	C₂³	semidirect
232. #66991	C₂³	semidirect
239. #66982	C₂³	semidirect
240. C₄×C₂²⋊D₁₁	C₂³	semidirect
241. C₄×C₂²⋊D₁₁	C₂³	semidirect
242. C₄×C₂²⋊D₁₁	C₂³	semidirect
256. #66979	C₂³	semidirect
265. C₂×C₄⋊Dic₁₁	C₂³	semidirect
268. #66977	C₂³	semidirect
269. #66977	C₂³	semidirect
288. #66951	C₂³	semidirect
289. #66951	C₂³	semidirect
290. #66951	C₂³	semidirect
291. #66951	C₂³	semidirect
292. #66949	C₂³	semidirect
293. #66949	C₂³	semidirect
294. #66949	C₂³	semidirect
299. #66945	C₂³	semidirect
300. #66945	C₂³	semidirect
301. C₄⋊C₄×D₁₁	C₂³	semidirect
302. C₄⋊C₄×D₁₁	C₂³	semidirect
303. C₄⋊C₄×D₁₁	C₂³	semidirect
304. #66942	C₂³	semidirect
305. #66942	C₂³	semidirect
306. #66942	C₂³	semidirect
307. #66940	C₂³	semidirect
308. #66938	C₂³	semidirect
311. #66936	C₂³	semidirect
312. #66936	C₂³	semidirect
313. #66936	C₂³	semidirect
314. #66936	C₂³	semidirect
315. (C₂²⋊D₁₁)⋊C₄	C₂³	semidirect
316. (C₂²⋊D₁₁)⋊C₄	C₂³	semidirect
317. (C₂²⋊D₁₁)⋊C₄	C₂³	semidirect
326. #66932	C₂³	semidirect
327. #66930	C₂³	semidirect
328. #66929	C₂³	semidirect
337. #66925	C₂³	semidirect
338. #66925	C₂³	semidirect
339. C₄²×D₁₁	C₂³	semidirect
340. #66923	C₂³	semidirect
341. #66923	C₂³	semidirect
342. #66922	C₂³	semidirect
343. #66922	C₂³	semidirect
344. C₄×Dic₂₂	C₂³	semidirect
345. C₄×Dic₂₂	C₂³	semidirect
346. C₄×Dic₂₂	C₂³	semidirect
347. C₄×Dic₂₂	C₂³	semidirect
524. C₂×#529	D₁₁	semidirect
641. #529	C₂×D₁₁	semidirect
654. C₂×#126	C₂×D₁₁	semidirect
660. C₂×#125	C₂×D₁₁	semidirect
675. C₂×#123	C₂×D₁₁	semidirect
685. C₂×C₂²⋊Q₈	C₂×D₁₁	semidirect
703. C₂×C₄×Q₈	C₂×D₁₁	semidirect
720. C₂×C₄×D₄	C₂×D₁₁	semidirect
729. C₂×#117	C₂×D₁₁	semidirect
739. C₂²×C₄²	C₂×D₁₁	semidirect
831. #126	C₂²×D₁₁	semidirect
837. #125	C₂²×D₁₁	semidirect
852. #123	C₂²×D₁₁	semidirect
862. C₂²⋊Q₈	C₂²×D₁₁	semidirect
877. C₄×Q₈	C₂²×D₁₁	semidirect
894. C₄×D₄	C₂²×D₁₁	semidirect
903. #117	C₂²×D₁₁	semidirect
983. C₂×C₄²	C₂²×D₁₁	semidirect
987. C₂×C₁₁	#3521	semidirect
1149. C₁₁	C₂×#3521	semidirect
1287. C₂	#13082688	direct (N × H)

Maximal subgroups

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

subgroup	index
#13082688	2
C₂×#10623115	2
C₂×#10623073	2
C₂×#10623110	2
C₂×#10623096	2
C₂×#10623192	2
C₂×#10623072	2
C₂×#10623224	2
C₂×#10623210	2
C₂×#10623190	2
C₂×#10623082	2
C₂×#10623081	2
C₂×#10623065	2
C₂×#10623049	2
C₂×#10623169	2
C₂×#10623144	2
C₂×#10623010	2
C₂×#10623237	2
C₂×D₁₁×#126	2
C₂×#10623054	2
C₂×#10623052	2
C₂×C₄×#4339	2
C₂×C₁₁×#529	2
C₂×#3521	11

Subgroups — C2×#13082688 #15661909

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13082688 #15661909