Subgroups — C₁₁×#61498 #14638691

Order 2816.

1936 conjugacy classes of subgroups.

The subgroup lattice has 1186 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3522	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3519	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3399	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#3385	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#3362	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#3361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#3357	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#3345	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3305	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3301	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3295	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#3294	C₂	1	2	yes	maximal, complemented
13	C₁₁×#3274	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3265	C₂	1	2	yes	maximal, complemented
15	C₁₁×#3179	C₂	1	2	yes	maximal, complemented
16	C₁₁×#3169	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#3119	C₂	1	2	yes	maximal, complemented
18	C₁₁×#3118	C₂	1	2	yes	maximal, complemented
19	C₁₁×#3112	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₁×#3109	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₁×#2966	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₁×#2946	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×C₁₁×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	—
25	C₂²×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
26	C₁₁×#559	—	2	1	no	—
27	C₁₁×#559	C₂²	1	1	yes	characteristic, complemented
28	Q₈²×C₁₁	C₂²	1	1	yes	characteristic, complemented
29	C₁₁×#555	C₂²	1	1	yes	characteristic
30	C₁₁×#554	—	2	1	no	—
31	C₁₁×#554	C₂²	1	1	yes	characteristic
32	C₁₁×#554	C₂²	1	1	yes	characteristic, complemented
33	C₁₁×#553	—	2	1	no	—
34	C₁₁×#553	C₂²	1	2	yes	—
35	C₁₁×#550	C₂²	1	1	yes	characteristic
36	C₁₁×#550	C₂²	1	1	yes	characteristic, complemented
37	C₁₁×#548	C₂²	1	2	yes	complemented
38	C₁₁×#547	—	2	2	no	—
39	C₁₁×#547	C₂²	1	2	yes	complemented
40	C₁₁×#546	—	2	1	no	—
41	C₁₁×#546	—	2	2	no	—
42	D₄²×C₁₁	C₂²	1	2	yes	—
43	D₄²×C₁₁	C₂²	1	1	yes	characteristic
44	C₁₁×#542	—	2	2	no	—
45	C₁₁×#542	C₂²	1	2	yes	complemented
46	C₁₁×#540	C₂²	1	2	yes	—
47	C₁₁×#538	—	2	2	no	—
48	C₁₁×#532	—	2	1	no	—
49	C₁₁×#532	C₂²	1	1	yes	characteristic
50	C₁₁×#532	C₂²	1	1	yes	characteristic, complemented
51	C₁₁×#529	—	2	1	no	—
52	C₁₁×#529	C₂²	1	1	yes	characteristic
53	C₁₁×#525	—	2	1	no	—
54	C₂×C₁₁×#121	—	2	1	no	—
55	C₁₁×#520	C₂²	1	2	yes	complemented
56	C₁₁×#518	C₂²	1	2	yes	—
57	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
59	C₁₁×#501	C₂²	1	2	yes	complemented
60	C₁₁×#500	C₂²	1	1	yes	characteristic, complemented
61	C₁₁×#496	C₂²	1	2	yes	complemented
62	C₁₁×#493	C₂²	1	1	yes	characteristic, complemented
63	C₁₁×#488	C₂²	1	2	yes	complemented
64	C₁₁×#486	C₂²	1	1	yes	characteristic, complemented
65	C₁₁×#486	C₂²	1	1	yes	characteristic, complemented
66	C₁₁×#486	C₂²	1	2	yes	complemented
67	C₁₁×#485	C₂²	1	2	yes	complemented
68	C₁₁×#482	C₂²	1	2	yes	complemented
69	C₁₁×#481	C₂²	1	2	yes	complemented
70	C₁₁×#481	C₂²	1	2	yes	complemented
71	C₁₁×#480	C₂²	1	2	yes	complemented
72	C₁₁×#480	C₂²	1	2	yes	complemented
73	C₁₁×#479	C₂²	1	2	yes	complemented
74	C₁₁×#478	C₂²	1	2	yes	complemented
75	C₁₁×#477	C₂²	1	1	yes	characteristic, complemented
76	C₁₁×#477	C₂²	1	1	yes	characteristic, complemented
77	C₁₁×#476	C₂²	1	1	yes	characteristic
78	C₁₁×#476	C₂²	1	2	yes	complemented
79	C₁₁×#476	C₂²	1	1	yes	characteristic, complemented
80	C₁₁×#474	C₂²	1	2	yes	—
81	C₁₁×#469	C₂²	1	2	yes	complemented
82	C₁₁×#468	C₂²	1	2	yes	complemented
83	C₁₁×#466	C₂²	1	2	yes	complemented
84	C₁₁×#466	C₂²	1	2	yes	complemented
85	C₁₁×#466	C₂²	1	2	yes	complemented
86	C₁₁×#465	C₂²	1	2	yes	complemented
87	C₁₁×#463	C₂²	1	2	yes	—
88	C₁₁×#463	C₂²	1	2	yes	complemented
89	C₁₁×#460	C₂²	1	2	yes	complemented
90	C₁₁×#460	C₂²	1	1	yes	characteristic, complemented
91	C₁₁×#460	C₂²	1	1	yes	characteristic, complemented
92	C₁₁×#459	C₂²	1	1	yes	characteristic
93	C₁₁×#459	C₂²	1	2	yes	complemented
94	C₁₁×#459	C₂²	1	1	yes	characteristic, complemented
95	C₁₁×#450	C₂²	1	2	yes	—
96	C₁₁×#449	C₂²	1	2	yes	complemented
97	C₁₁×#449	C₂²	1	2	yes	complemented
98	C₁₁×#448	C₂²	1	2	yes	complemented
99	C₁₁×#447	C₂²	1	2	yes	—
100	C₁₁×#447	C₂²	1	2	yes	—
101	C₁₁×#446	C₂²	1	1	yes	characteristic, complemented
102	C₈×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
103	C₁₁×#442	C₂²	1	2	yes	—
104	C₁₁×#442	C₂²	1	2	yes	complemented
105	C₁₁×#442	C₂²	1	2	yes	complemented
106	C₁₁×#440	C₂²	1	2	yes	—
107	C₁₁×#440	C₂²	1	2	yes	complemented
108	C₁₁×#440	C₂²	1	2	yes	complemented
109	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
110	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
111	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
112	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
113	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic, complemented
114	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic, complemented
116	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic, complemented
117	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
118	C₄×C₁₁×D₈	C₂²	1	2	yes	—
119	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
120	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
121	C₁₁×#436	C₂²	1	1	yes	characteristic, complemented
122	C₁₁×#435	C₂²	1	2	yes	complemented
123	C₈×D₄×C₁₁	C₂²	1	2	yes	complemented
124	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
125	C₁₁×#433	C₂²	1	2	yes	complemented
126	C₁₁×#432	C₂²	1	1	yes	characteristic, complemented
127	C₁₁×#428	C₂²	1	2	yes	complemented
128	C₂×C₁₁×#106	C₂²	1	1	yes	characteristic, complemented
129	C₁₁×#416	C₂²	1	2	yes	complemented
130	C₂×C₁₁×#103	C₂²	1	1	yes	characteristic, complemented
131	C₂×C₁₁×#102	C₂²	1	1	yes	characteristic
132	C₂×C₁₁×#102	C₂²	1	2	yes	—
133	C₁₁×#405	C₂²	1	2	yes	complemented
134	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₁×#41	—	2	1	no	—
136	C₂×C₁₁×#41	—	2	2	no	—
137	C₂×C₁₁×#41	—	2	1	no	—
138	C₂×C₁₁×#41	—	2	1	no	—
139	C₂×C₁₁×#41	C₂³	1	2	yes	—
140	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
141	C₂²×D₄×C₁₁	—	2	1	no	—
142	C₂²×D₄×C₁₁	—	2	2	no	—
143	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
144	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
145	C₂³×C₄×C₁₁	—	2	1	no	—
146	C₁₁×AGL(1,ℤ/8)	—	2	8	no	—
147	C₂×C₁₁×SD₁₆	—	2	4	no	—
148	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₁×D₈	C₂³	1	2	yes	—
155	C₂×C₁₁×D₈	C₂³	1	2	yes	—
156	C₂×C₁₁×D₈	C₂³	1	2	yes	—
157	C₂×C₁₁×D₈	C₂³	1	2	yes	—
158	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
159	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
160	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
161	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
162	C₁₁×C₄⋊Q₈	—	2	1	no	—
163	C₁₁×C₄⋊Q₈	—	2	2	no	—
164	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
167	C₁₁×#127	—	2	1	no	—
168	C₁₁×#127	C₂³	1	1	yes	characteristic
169	C₁₁×#127	C₂³	1	1	yes	characteristic
170	C₁₁×#127	C₂³	1	2	yes	—
171	C₁₁×#126	—	2	2	no	—
172	C₁₁×#126	—	2	2	no	—
173	C₁₁×#126	D₄	1	2	yes	—
174	C₁₁×#125	—	2	1	no	—
175	C₁₁×#125	D₄	1	1	yes	characteristic
176	C₁₁×#125	C₂³	1	2	yes	—
177	C₁₁×#124	—	2	1	no	—
178	C₁₁×#124	—	2	2	no	—
179	C₁₁×#124	—	2	2	no	—
180	C₁₁×#124	—	2	2	no	—
181	C₁₁×#124	—	2	1	no	—
182	C₁₁×#124	—	2	1	no	—
183	C₁₁×#124	D₄	1	1	yes	characteristic
184	C₁₁×#124	C₂³	1	2	yes	—
185	C₁₁×#123	—	2	2	no	—
186	C₁₁×#123	—	2	2	no	—
187	C₁₁×#123	—	2	2	no	—
188	C₁₁×#123	—	2	2	no	—
189	C₁₁×#123	—	2	2	no	—
190	C₁₁×#123	—	2	2	no	—
191	C₁₁×#123	—	2	2	no	—
192	C₁₁×#123	D₄	1	2	yes	—
193	C₁₁×C₂²⋊Q₈	—	2	1	no	—
194	C₁₁×C₂²⋊Q₈	—	2	2	no	—
195	C₁₁×C₂²⋊Q₈	—	2	2	no	—
196	C₁₁×C₂²⋊Q₈	—	2	2	no	—
197	C₁₁×C₂²⋊Q₈	—	2	2	no	—
198	C₁₁×C₂²⋊Q₈	—	2	2	no	—
199	C₁₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
200	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
201	C₁₁×#121	—	2	2	no	—
202	C₁₁×#121	—	2	1	no	—
203	C₁₁×#121	—	2	2	no	—
204	C₁₁×#121	—	2	1	no	—
205	C₁₁×#121	—	2	1	no	—
206	C₁₁×#121	—	2	1	no	—
207	C₁₁×#121	—	2	1	no	—
208	C₁₁×#121	—	2	2	no	—
209	C₁₁×#121	—	2	2	no	—
210	C₁₁×#121	—	2	2	no	—
211	C₁₁×#121	—	2	2	no	—
212	C₁₁×#121	—	2	2	no	—
213	C₁₁×#121	D₄	1	1	yes	characteristic
214	C₁₁×#121	C₂³	1	2	yes	—
215	C₁₁×#121	C₂³	1	2	yes	—
216	C₁₁×#121	C₂³	1	2	yes	—
217	C₁₁×#121	C₂³	1	2	yes	—
218	C₁₁×#121	C₂³	1	2	yes	—
219	C₁₁×#120	—	2	2	no	—
220	C₁₁×#120	—	2	2	no	—
221	C₁₁×#120	—	2	2	no	—
222	C₄×Q₈×C₁₁	—	2	1	no	—
223	C₄×Q₈×C₁₁	—	2	1	no	—
224	C₄×Q₈×C₁₁	—	2	1	no	—
225	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
229	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
230	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
231	C₄×D₄×C₁₁	—	2	1	no	—
232	C₄×D₄×C₁₁	—	2	2	no	—
233	C₄×D₄×C₁₁	—	2	2	no	—
234	C₄×D₄×C₁₁	—	2	1	no	—
235	C₄×D₄×C₁₁	—	2	1	no	—
236	C₄×D₄×C₁₁	—	2	2	no	—
237	C₄×D₄×C₁₁	—	2	2	no	—
238	C₄×D₄×C₁₁	—	2	2	no	—
239	C₄×D₄×C₁₁	—	2	2	no	—
240	C₄×D₄×C₁₁	—	2	1	no	—
241	C₄×D₄×C₁₁	—	2	1	no	—
242	C₄×D₄×C₁₁	—	2	1	no	—
243	C₄×D₄×C₁₁	—	2	1	no	—
244	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₁₁	C₂³	1	2	yes	—
249	C₄×D₄×C₁₁	C₂³	1	2	yes	—
250	C₄×D₄×C₁₁	C₂³	1	2	yes	—
251	C₄×D₄×C₁₁	C₂³	1	2	yes	—
252	C₄×D₄×C₁₁	C₂³	1	2	yes	—
253	C₄×D₄×C₁₁	C₂³	1	2	yes	—
254	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
255	C₁₁×#117	—	2	2	no	—
256	C₁₁×#117	—	2	1	no	—
257	C₁₁×#117	C₂³	1	2	yes	—
258	C₁₁×#117	C₂³	1	2	yes	—
259	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
260	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
261	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
262	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
265	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
266	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
267	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
268	C₂×C₄²×C₁₁	—	2	1	no	—
269	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
270	C₁₁×#107	C₂³	1	2	yes	—
271	C₁₁×#107	C₂³	1	2	yes	—
272	C₁₁×#107	C₂³	1	2	yes	—
273	C₁₁×#107	C₂³	1	2	yes	—
274	C₁₁×#106	C₂³	1	1	yes	characteristic
275	C₁₁×#106	C₂³	1	2	yes	—
276	C₁₁×#106	C₂³	1	1	yes	characteristic
277	C₁₁×#106	C₂³	1	1	yes	characteristic
278	C₁₁×#106	C₂³	1	1	yes	characteristic
279	C₁₁×#106	C₂³	1	2	yes	—
280	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₁×#103	C₂³	1	1	yes	characteristic
285	C₁₁×#103	C₂³	1	1	yes	characteristic
286	C₁₁×#103	C₂³	1	1	yes	characteristic
287	C₁₁×#103	C₂³	1	1	yes	characteristic
288	C₁₁×#103	C₂³	1	2	yes	—
289	C₁₁×#103	C₂³	1	2	yes	—
290	C₁₁×#102	C₂³	1	1	yes	characteristic
291	C₁₁×#102	C₂³	1	2	yes	—
292	C₁₁×#102	C₂³	1	1	yes	characteristic
293	C₁₁×#102	C₂³	1	1	yes	characteristic
294	C₁₁×#102	C₂³	1	1	yes	characteristic
295	C₁₁×#102	C₂³	1	2	yes	—
296	C₁₁×#102	C₂³	1	2	yes	—
297	C₁₁×#102	C₂³	1	2	yes	—
298	C₁₁×#102	C₂³	1	2	yes	—
299	C₁₁×#102	C₂³	1	2	yes	—
300	C₁₁×#102	C₂³	1	2	yes	—
301	C₁₁×#102	C₂³	1	2	yes	—
302	C₁₁×#102	C₂³	1	2	yes	—
303	C₁₁×#102	C₂³	1	2	yes	—
304	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₁×#97	C₂³	1	2	yes	—
308	C₁₁×#97	C₂³	1	2	yes	—
309	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₁	C₂³	1	2	yes	—
314	#61498	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
315	C₂⁴×C₁₁	—	2	1	no	—
316	C₂⁴×C₁₁	—	2	2	no	—
317	C₁₁×#41	—	2	4	no	—
318	C₁₁×#41	—	4	2	no	—
319	C₁₁×#41	—	8	2	no	—
320	C₁₁×#41	—	8	2	no	—
321	C₁₁×#41	—	8	4	no	—
322	C₁₁×#41	—	8	2	no	—
323	C₂×Q₈×C₁₁	—	2	1	no	—
324	C₂×Q₈×C₁₁	—	2	1	no	—
325	C₂×Q₈×C₁₁	—	2	2	no	—
326	C₂×Q₈×C₁₁	—	2	1	no	—
327	C₂×Q₈×C₁₁	—	2	2	no	—
328	C₂×Q₈×C₁₁	—	4	1	no	—
329	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
330	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
331	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₁₁	—	2	2	no	—
333	C₂×D₄×C₁₁	—	2	4	no	—
334	C₂×D₄×C₁₁	—	2	2	no	—
335	C₂×D₄×C₁₁	—	2	2	no	—
336	C₂×D₄×C₁₁	—	2	2	no	—
337	C₂×D₄×C₁₁	—	2	2	no	—
338	C₂×D₄×C₁₁	—	2	2	no	—
339	C₂×D₄×C₁₁	—	2	2	no	—
340	C₂×D₄×C₁₁	—	2	1	no	—
341	C₂×D₄×C₁₁	—	2	2	no	—
342	C₂×D₄×C₁₁	—	2	1	no	—
343	C₂×D₄×C₁₁	—	2	1	no	—
344	C₂×D₄×C₁₁	—	2	2	no	—
345	C₂×D₄×C₁₁	—	2	1	no	—
346	C₂×D₄×C₁₁	—	2	2	no	—
347	C₂×D₄×C₁₁	—	2	1	no	—
348	C₂×D₄×C₁₁	—	4	1	no	—
349	C₂×D₄×C₁₁	—	4	2	no	—
350	C₂×D₄×C₁₁	—	8	2	no	—
351	C₂×D₄×C₁₁	—	8	4	no	—
352	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
353	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
354	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
355	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
356	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
357	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₁₁	—	2	1	no	—
359	C₂²×C₄×C₁₁	—	2	1	no	—
360	C₂²×C₄×C₁₁	—	2	1	no	—
361	C₂²×C₄×C₁₁	—	2	2	no	—
362	C₂²×C₄×C₁₁	—	2	2	no	—
363	C₂²×C₄×C₁₁	—	2	1	no	—
364	C₂²×C₄×C₁₁	—	2	1	no	—
365	C₂²×C₄×C₁₁	—	2	1	no	—
366	C₂²×C₄×C₁₁	—	2	2	no	—
367	C₂²×C₄×C₁₁	—	2	2	no	—
368	C₂²×C₄×C₁₁	—	2	2	no	—
369	C₂²×C₄×C₁₁	—	2	2	no	—
370	C₂²×C₄×C₁₁	—	2	2	no	—
371	C₂²×C₄×C₁₁	—	2	1	no	—
372	C₂²×C₄×C₁₁	—	8	2	no	—
373	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
374	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
375	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
377	C₁₁×SD₁₆	—	2	2	no	—
378	C₁₁×SD₁₆	—	2	2	no	—
379	C₁₁×SD₁₆	—	2	4	no	—
380	C₁₁×SD₁₆	—	2	2	no	—
381	C₁₁×SD₁₆	—	4	2	no	—
382	C₁₁×SD₁₆	#41	1	4	yes	complemented
383	C₁₁×D₈	—	2	4	no	—
384	C₁₁×D₈	—	2	4	no	—
385	C₁₁×D₈	—	4	2	no	—
386	C₁₁×D₈	—	4	2	no	—
387	C₁₁×M₁₆	—	2	4	no	—
388	C₂×C₈×C₁₁	—	2	2	no	—
389	C₂×C₈×C₁₁	—	4	1	no	—
390	C₂×C₈×C₁₁	—	4	2	no	—
391	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
392	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
393	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
394	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
395	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
396	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
397	C₁₁×C₄⋊C₄	—	2	1	no	—
398	C₁₁×C₄⋊C₄	—	2	2	no	—
399	C₁₁×C₄⋊C₄	—	2	1	no	—
400	C₁₁×C₄⋊C₄	—	2	2	no	—
401	C₁₁×C₄⋊C₄	—	2	1	no	—
402	C₁₁×C₄⋊C₄	—	2	1	no	—
403	C₁₁×C₄⋊C₄	—	2	1	no	—
404	C₁₁×C₄⋊C₄	—	2	2	no	—
405	C₁₁×C₄⋊C₄	—	2	1	no	—
406	C₁₁×C₄⋊C₄	—	2	1	no	—
407	C₁₁×C₄⋊C₄	—	2	1	no	—
408	C₁₁×C₄⋊C₄	—	2	2	no	—
409	C₁₁×C₄⋊C₄	—	2	2	no	—
410	C₁₁×C₄⋊C₄	—	2	2	no	—
411	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
412	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
413	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
414	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
415	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
416	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
417	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
418	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
419	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
420	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
421	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
422	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
423	C₁₁×C₂²⋊C₄	—	2	2	no	—
424	C₁₁×C₂²⋊C₄	—	2	2	no	—
425	C₁₁×C₂²⋊C₄	—	2	1	no	—
426	C₁₁×C₂²⋊C₄	—	2	2	no	—
427	C₁₁×C₂²⋊C₄	—	2	1	no	—
428	C₁₁×C₂²⋊C₄	—	2	2	no	—
429	C₁₁×C₂²⋊C₄	—	2	1	no	—
430	C₁₁×C₂²⋊C₄	—	2	2	no	—
431	C₁₁×C₂²⋊C₄	—	2	1	no	—
432	C₁₁×C₂²⋊C₄	—	2	2	no	—
433	C₁₁×C₂²⋊C₄	—	2	2	no	—
434	C₁₁×C₂²⋊C₄	—	2	2	no	—
435	C₁₁×C₂²⋊C₄	—	2	2	no	—
436	C₁₁×C₂²⋊C₄	—	2	2	no	—
437	C₁₁×C₂²⋊C₄	—	2	2	no	—
438	C₁₁×C₂²⋊C₄	—	2	2	no	—
439	C₁₁×C₂²⋊C₄	—	2	2	no	—
440	C₁₁×C₂²⋊C₄	—	2	2	no	—
441	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
443	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
444	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
445	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
446	C₄²×C₁₁	—	2	1	no	—
447	C₄²×C₁₁	—	2	1	no	—
448	C₄²×C₁₁	—	2	1	no	—
449	C₄²×C₁₁	—	2	1	no	—
450	C₄²×C₁₁	—	2	2	no	—
451	C₄²×C₁₁	—	2	2	no	—
452	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
453	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
454	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
455	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
456	C₄²×C₁₁	C₂⁴	1	2	yes	—
457	#3522	C₂×C₁₁	1	1	yes	characteristic, complemented
458	#3519	C₂×C₁₁	1	1	yes	characteristic, complemented
459	#3399	C₂×C₁₁	1	1	yes	characteristic, complemented
460	#3385	C₂×C₁₁	1	1	yes	characteristic, complemented
461	#3362	C₂×C₁₁	1	1	yes	characteristic, complemented
462	#3361	C₂×C₁₁	1	1	yes	characteristic, complemented
463	#3357	C₂×C₁₁	1	1	yes	characteristic, complemented
464	#3345	C₂×C₁₁	1	2	yes	complemented
465	#3305	C₂×C₁₁	1	1	yes	characteristic, complemented
466	#3301	C₂×C₁₁	1	2	yes	complemented
467	#3295	C₂×C₁₁	1	1	yes	characteristic, complemented
468	#3294	C₂×C₁₁	1	2	yes	complemented
469	#3274	C₂×C₁₁	1	1	yes	characteristic, complemented
470	#3265	C₂×C₁₁	1	2	yes	complemented
471	#3179	C₂×C₁₁	1	2	yes	complemented
472	#3169	C₂×C₁₁	1	1	yes	characteristic, complemented
473	#3119	C₂×C₁₁	1	2	yes	complemented
474	#3118	C₂×C₁₁	1	2	yes	complemented
475	#3112	C₂×C₁₁	1	1	yes	characteristic, complemented
476	#3109	C₂×C₁₁	1	1	yes	characteristic, complemented
477	#2966	C₂×C₁₁	1	1	yes	characteristic, complemented
478	#2946	C₂×C₁₁	1	2	yes	complemented
479	C₂×C₄×SD₁₆	C₂×C₁₁	1	1	yes	characteristic, complemented
480	C₂³×C₁₁	—	2	1	no	—
481	C₂³×C₁₁	—	2	2	no	—
482	C₂³×C₁₁	—	2	2	no	—
483	C₂³×C₁₁	—	2	1	no	—
484	C₂³×C₁₁	—	4	2	no	—
485	C₂³×C₁₁	—	4	4	no	—
486	C₂³×C₁₁	—	4	2	no	—
487	C₂³×C₁₁	—	8	1	no	—
488	C₂³×C₁₁	—	8	2	no	—
489	C₂³×C₁₁	—	8	2	no	—
490	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
491	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
492	Q₈×C₁₁	—	2	2	no	—
493	Q₈×C₁₁	—	2	1	no	—
494	Q₈×C₁₁	—	2	1	no	—
495	Q₈×C₁₁	—	2	1	no	—
496	Q₈×C₁₁	—	4	2	no	—
497	Q₈×C₁₁	—	8	1	no	—
498	Q₈×C₁₁	—	8	1	no	—
499	Q₈×C₁₁	—	8	2	no	—
500	Q₈×C₁₁	C₂×#41	1	2	yes	—
501	D₄×C₁₁	—	2	4	no	—
502	D₄×C₁₁	—	2	2	no	—
503	D₄×C₁₁	—	2	2	no	—
504	D₄×C₁₁	—	2	2	no	—
505	D₄×C₁₁	—	2	1	no	—
506	D₄×C₁₁	—	2	1	no	—
507	D₄×C₁₁	—	2	1	no	—
508	D₄×C₁₁	—	2	2	no	—
509	D₄×C₁₁	—	2	2	no	—
510	D₄×C₁₁	—	4	4	no	—
511	D₄×C₁₁	—	4	2	no	—
512	D₄×C₁₁	—	4	4	no	—
513	D₄×C₁₁	—	4	4	no	—
514	D₄×C₁₁	—	4	4	no	—
515	D₄×C₁₁	—	4	2	no	—
516	D₄×C₁₁	—	4	2	no	—
517	D₄×C₁₁	—	8	2	no	—
518	D₄×C₁₁	—	8	1	no	—
519	D₄×C₁₁	—	8	1	no	—
520	D₄×C₁₁	—	8	2	no	—
521	D₄×C₁₁	—	8	2	no	—
522	D₄×C₁₁	—	8	2	no	—
523	D₄×C₁₁	—	8	2	no	—
524	D₄×C₁₁	C₂×#41	1	2	yes	—
525	C₂×C₄×C₁₁	—	2	2	no	—
526	C₂×C₄×C₁₁	—	2	1	no	—
527	C₂×C₄×C₁₁	—	2	2	no	—
528	C₂×C₄×C₁₁	—	2	1	no	—
529	C₂×C₄×C₁₁	—	2	2	no	—
530	C₂×C₄×C₁₁	—	2	1	no	—
531	C₂×C₄×C₁₁	—	2	2	no	—
532	C₂×C₄×C₁₁	—	2	1	no	—
533	C₂×C₄×C₁₁	—	2	1	no	—
534	C₂×C₄×C₁₁	—	2	1	no	—
535	C₂×C₄×C₁₁	—	2	1	no	—
536	C₂×C₄×C₁₁	—	2	2	no	—
537	C₂×C₄×C₁₁	—	2	2	no	—
538	C₂×C₄×C₁₁	—	2	1	no	—
539	C₂×C₄×C₁₁	—	4	4	no	—
540	C₂×C₄×C₁₁	—	4	2	no	—
541	C₂×C₄×C₁₁	—	4	2	no	—
542	C₂×C₄×C₁₁	—	4	2	no	—
543	C₂×C₄×C₁₁	—	4	2	no	—
544	C₂×C₄×C₁₁	—	8	1	no	—
545	C₂×C₄×C₁₁	—	8	1	no	—
546	C₂×C₄×C₁₁	—	8	2	no	—
547	C₂×C₄×C₁₁	—	8	2	no	—
548	C₂×C₄×C₁₁	—	8	2	no	—
549	C₂×C₄×C₁₁	—	8	2	no	—
550	C₂×C₄×C₁₁	—	8	2	no	—
551	C₂×C₄×C₁₁	—	8	1	no	—
552	C₂×C₄×C₁₁	—	8	2	no	—
553	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
554	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
555	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
556	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
557	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
558	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
559	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
560	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
561	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
562	C₈×C₁₁	—	2	1	no	—
563	C₈×C₁₁	—	2	2	no	—
564	C₈×C₁₁	—	2	1	no	—
565	C₈×C₁₁	—	2	1	no	—
566	C₈×C₁₁	—	2	2	no	—
567	C₈×C₁₁	C₂×#41	1	2	yes	—
568	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	—
569	C₂²×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
570	#559	—	2	1	no	—
571	#559	C₂²×C₁₁	1	1	yes	characteristic, complemented
572	Q₈²	C₂²×C₁₁	1	1	yes	characteristic, complemented
573	#555	C₂²×C₁₁	1	1	yes	characteristic
574	#554	—	2	1	no	—
575	#554	C₂²×C₁₁	1	1	yes	characteristic
576	#554	C₂²×C₁₁	1	1	yes	characteristic, complemented
577	#553	—	2	1	no	—
578	#553	C₂²×C₁₁	1	2	yes	—
579	#550	C₂²×C₁₁	1	1	yes	characteristic
580	#550	C₂²×C₁₁	1	1	yes	characteristic, complemented
581	#548	C₂²×C₁₁	1	2	yes	complemented
582	#547	—	2	2	no	—
583	#547	C₂²×C₁₁	1	2	yes	complemented
584	#546	—	2	1	no	—
585	#546	—	2	2	no	—
586	D₄²	C₂²×C₁₁	1	2	yes	—
587	D₄²	C₂²×C₁₁	1	1	yes	characteristic
588	#542	—	2	2	no	—
589	#542	C₂²×C₁₁	1	2	yes	complemented
590	#540	C₂²×C₁₁	1	2	yes	—
591	#538	—	2	2	no	—
592	#532	—	2	1	no	—
593	#532	C₂²×C₁₁	1	1	yes	characteristic
594	#532	C₂²×C₁₁	1	1	yes	characteristic, complemented
595	#529	—	2	1	no	—
596	#529	C₂²×C₁₁	1	1	yes	characteristic
597	#525	—	2	1	no	—
598	C₂×#121	—	2	1	no	—
599	#520	C₂²×C₁₁	1	2	yes	complemented
600	#518	C₂²×C₁₁	1	2	yes	—
601	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
602	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
603	#501	C₂²×C₁₁	1	2	yes	complemented
604	#500	C₂²×C₁₁	1	1	yes	characteristic, complemented
605	#496	C₂²×C₁₁	1	2	yes	complemented
606	#493	C₂²×C₁₁	1	1	yes	characteristic, complemented
607	#488	C₂²×C₁₁	1	2	yes	complemented
608	#486	C₂²×C₁₁	1	1	yes	characteristic, complemented
609	#486	C₂²×C₁₁	1	1	yes	characteristic, complemented
610	#486	C₂²×C₁₁	1	2	yes	complemented
611	#485	C₂²×C₁₁	1	2	yes	complemented
612	#482	C₂²×C₁₁	1	2	yes	complemented
613	#481	C₂²×C₁₁	1	2	yes	complemented
614	#481	C₂²×C₁₁	1	2	yes	complemented
615	#480	C₂²×C₁₁	1	2	yes	complemented
616	#480	C₂²×C₁₁	1	2	yes	complemented
617	#479	C₂²×C₁₁	1	2	yes	complemented
618	#478	C₂²×C₁₁	1	2	yes	complemented
619	#477	C₂²×C₁₁	1	1	yes	characteristic, complemented
620	#477	C₂²×C₁₁	1	1	yes	characteristic, complemented
621	#476	C₂²×C₁₁	1	1	yes	characteristic
622	#476	C₂²×C₁₁	1	2	yes	complemented
623	#476	C₂²×C₁₁	1	1	yes	characteristic, complemented
624	#474	C₂²×C₁₁	1	2	yes	—
625	#469	C₂²×C₁₁	1	2	yes	complemented
626	#468	C₂²×C₁₁	1	2	yes	complemented
627	#466	C₂²×C₁₁	1	2	yes	complemented
628	#466	C₂²×C₁₁	1	2	yes	complemented
629	#466	C₂²×C₁₁	1	2	yes	complemented
630	#465	C₂²×C₁₁	1	2	yes	complemented
631	#463	C₂²×C₁₁	1	2	yes	—
632	#463	C₂²×C₁₁	1	2	yes	complemented
633	#460	C₂²×C₁₁	1	1	yes	characteristic, complemented
634	#460	C₂²×C₁₁	1	2	yes	complemented
635	#460	C₂²×C₁₁	1	1	yes	characteristic, complemented
636	#459	C₂²×C₁₁	1	1	yes	characteristic
637	#459	C₂²×C₁₁	1	1	yes	characteristic, complemented
638	#459	C₂²×C₁₁	1	2	yes	complemented
639	#450	C₂²×C₁₁	1	2	yes	—
640	#449	C₂²×C₁₁	1	2	yes	complemented
641	#449	C₂²×C₁₁	1	2	yes	complemented
642	#448	C₂²×C₁₁	1	2	yes	complemented
643	#447	C₂²×C₁₁	1	2	yes	—
644	#447	C₂²×C₁₁	1	2	yes	—
645	#446	C₂²×C₁₁	1	1	yes	characteristic, complemented
646	C₈×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
647	#442	C₂²×C₁₁	1	2	yes	—
648	#442	C₂²×C₁₁	1	2	yes	complemented
649	#442	C₂²×C₁₁	1	2	yes	complemented
650	#440	C₂²×C₁₁	1	2	yes	—
651	#440	C₂²×C₁₁	1	2	yes	complemented
652	#440	C₂²×C₁₁	1	2	yes	complemented
653	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
654	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
655	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
656	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
657	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
658	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
659	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
660	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
661	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
662	C₄×D₈	C₂²×C₁₁	1	2	yes	—
663	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
664	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
665	#436	C₂²×C₁₁	1	1	yes	characteristic, complemented
666	#435	C₂²×C₁₁	1	2	yes	complemented
667	C₈×D₄	C₂²×C₁₁	1	2	yes	complemented
668	C₈×D₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
669	#433	C₂²×C₁₁	1	2	yes	complemented
670	#432	C₂²×C₁₁	1	1	yes	characteristic, complemented
671	#428	C₂²×C₁₁	1	2	yes	complemented
672	C₂×#106	C₂²×C₁₁	1	1	yes	characteristic, complemented
673	#416	C₂²×C₁₁	1	2	yes	complemented
674	C₂×#103	C₂²×C₁₁	1	1	yes	characteristic, complemented
675	C₂×#102	C₂²×C₁₁	1	1	yes	characteristic
676	C₂×#102	C₂²×C₁₁	1	2	yes	—
677	#405	C₂²×C₁₁	1	2	yes	complemented
678	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
679	C₂²×C₁₁	—	2	1	no	—
680	C₂²×C₁₁	—	2	1	no	—
681	C₂²×C₁₁	—	2	2	no	—
682	C₂²×C₁₁	—	2	2	no	—
683	C₂²×C₁₁	—	2	2	no	—
684	C₂²×C₁₁	—	2	2	no	—
685	C₂²×C₁₁	—	4	1	no	—
686	C₂²×C₁₁	—	4	1	no	—
687	C₂²×C₁₁	—	4	2	no	—
688	C₂²×C₁₁	—	4	1	no	—
689	C₂²×C₁₁	—	4	2	no	—
690	C₂²×C₁₁	—	4	2	no	—
691	C₂²×C₁₁	—	4	2	no	—
692	C₂²×C₁₁	—	4	1	no	—
693	C₂²×C₁₁	—	4	1	no	—
694	C₂²×C₁₁	—	4	2	no	—
695	C₂²×C₁₁	—	4	2	no	—
696	C₂²×C₁₁	—	8	4	no	—
697	C₂²×C₁₁	—	16	4	no	—
698	C₂²×C₁₁	#576	1	2	yes	—
699	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
700	C₄×C₁₁	—	2	2	no	—
701	C₄×C₁₁	—	2	1	no	—
702	C₄×C₁₁	—	2	2	no	—
703	C₄×C₁₁	—	2	1	no	—
704	C₄×C₁₁	—	2	1	no	—
705	C₄×C₁₁	—	2	2	no	—
706	C₄×C₁₁	—	2	1	no	—
707	C₄×C₁₁	—	2	2	no	—
708	C₄×C₁₁	—	4	1	no	—
709	C₄×C₁₁	—	4	1	no	—
710	C₄×C₁₁	—	4	1	no	—
711	C₄×C₁₁	—	4	2	no	—
712	C₄×C₁₁	—	4	2	no	—
713	C₄×C₁₁	—	4	1	no	—
714	C₄×C₁₁	—	4	1	no	—
715	C₄×C₁₁	#577	1	2	yes	—
716	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
717	C₄×C₁₁	#585	1	1	yes	characteristic
718	C₂×#41	—	2	1	no	—
719	C₂×#41	—	2	2	no	—
720	C₂×#41	—	2	1	no	—
721	C₂×#41	—	2	1	no	—
722	C₂×#41	C₂³×C₁₁	1	2	yes	—
723	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
724	C₂²×D₄	—	2	1	no	—
725	C₂²×D₄	—	2	2	no	—
726	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
727	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
728	C₂³×C₄	—	2	1	no	—
729	AGL(1,ℤ/8)	—	2	8	no	—
730	C₂×SD₁₆	—	2	4	no	—
731	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
732	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
733	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
734	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
735	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
736	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
737	C₂×D₈	C₂³×C₁₁	1	2	yes	—
738	C₂×D₈	C₂³×C₁₁	1	2	yes	—
739	C₂×D₈	C₂³×C₁₁	1	2	yes	—
740	C₂×D₈	C₂³×C₁₁	1	2	yes	—
741	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
742	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
743	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
744	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
745	C₄⋊Q₈	—	2	1	no	—
746	C₄⋊Q₈	—	2	2	no	—
747	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
748	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
749	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
750	#127	—	2	1	no	—
751	#127	C₂³×C₁₁	1	1	yes	characteristic
752	#127	C₂³×C₁₁	1	1	yes	characteristic
753	#127	C₂³×C₁₁	1	2	yes	—
754	#126	—	2	2	no	—
755	#126	—	2	2	no	—
756	#126	D₄×C₁₁	1	2	yes	—
757	#125	—	2	1	no	—
758	#125	D₄×C₁₁	1	1	yes	characteristic
759	#125	C₂³×C₁₁	1	2	yes	—
760	#124	—	2	1	no	—
761	#124	—	2	2	no	—
762	#124	—	2	2	no	—
763	#124	—	2	2	no	—
764	#124	—	2	1	no	—
765	#124	—	2	1	no	—
766	#124	D₄×C₁₁	1	1	yes	characteristic
767	#124	C₂³×C₁₁	1	2	yes	—
768	#123	—	2	2	no	—
769	#123	—	2	2	no	—
770	#123	—	2	2	no	—
771	#123	—	2	2	no	—
772	#123	—	2	2	no	—
773	#123	—	2	2	no	—
774	#123	—	2	2	no	—
775	#123	D₄×C₁₁	1	2	yes	—
776	C₂²⋊Q₈	—	2	1	no	—
777	C₂²⋊Q₈	—	2	2	no	—
778	C₂²⋊Q₈	—	2	2	no	—
779	C₂²⋊Q₈	—	2	2	no	—
780	C₂²⋊Q₈	—	2	2	no	—
781	C₂²⋊Q₈	—	2	2	no	—
782	C₂²⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
783	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
784	#121	—	2	2	no	—
785	#121	—	2	1	no	—
786	#121	—	2	2	no	—
787	#121	—	2	1	no	—
788	#121	—	2	1	no	—
789	#121	—	2	1	no	—
790	#121	—	2	1	no	—
791	#121	—	2	2	no	—
792	#121	—	2	2	no	—
793	#121	—	2	2	no	—
794	#121	—	2	2	no	—
795	#121	—	2	2	no	—
796	#121	D₄×C₁₁	1	1	yes	characteristic
797	#121	C₂³×C₁₁	1	2	yes	—
798	#121	C₂³×C₁₁	1	2	yes	—
799	#121	C₂³×C₁₁	1	2	yes	—
800	#121	C₂³×C₁₁	1	2	yes	—
801	#121	C₂³×C₁₁	1	2	yes	—
802	#120	—	2	2	no	—
803	#120	—	2	2	no	—
804	#120	—	2	2	no	—
805	C₄×Q₈	—	2	1	no	—
806	C₄×Q₈	—	2	1	no	—
807	C₄×Q₈	—	2	1	no	—
808	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
809	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
810	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
811	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
812	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
813	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	—	2	2	no	—
816	C₄×D₄	—	2	2	no	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	2	2	no	—
820	C₄×D₄	—	2	2	no	—
821	C₄×D₄	—	2	2	no	—
822	C₄×D₄	—	2	2	no	—
823	C₄×D₄	—	2	1	no	—
824	C₄×D₄	—	2	1	no	—
825	C₄×D₄	—	2	1	no	—
826	C₄×D₄	—	2	1	no	—
827	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
828	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
829	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
830	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
831	C₄×D₄	C₂³×C₁₁	1	2	yes	—
832	C₄×D₄	C₂³×C₁₁	1	2	yes	—
833	C₄×D₄	C₂³×C₁₁	1	2	yes	—
834	C₄×D₄	C₂³×C₁₁	1	2	yes	—
835	C₄×D₄	C₂³×C₁₁	1	2	yes	—
836	C₄×D₄	C₂³×C₁₁	1	2	yes	—
837	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
838	#117	—	2	2	no	—
839	#117	—	2	1	no	—
840	#117	C₂³×C₁₁	1	2	yes	—
841	#117	C₂³×C₁₁	1	2	yes	—
842	C₂×C₄⋊C₄	—	2	1	no	—
843	C₂×C₄⋊C₄	—	2	2	no	—
844	C₂×C₄⋊C₄	—	2	1	no	—
845	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
846	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
847	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
848	C₂×C₂²⋊C₄	—	2	1	no	—
849	C₂×C₂²⋊C₄	—	2	2	no	—
850	C₂×C₂²⋊C₄	—	2	2	no	—
851	C₂×C₄²	—	2	1	no	—
852	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
853	#107	C₂³×C₁₁	1	2	yes	—
854	#107	C₂³×C₁₁	1	2	yes	—
855	#107	C₂³×C₁₁	1	2	yes	—
856	#107	C₂³×C₁₁	1	2	yes	—
857	#106	C₂³×C₁₁	1	1	yes	characteristic
858	#106	C₂³×C₁₁	1	1	yes	characteristic
859	#106	C₂³×C₁₁	1	1	yes	characteristic
860	#106	C₂³×C₁₁	1	1	yes	characteristic
861	#106	C₂³×C₁₁	1	2	yes	—
862	#106	C₂³×C₁₁	1	2	yes	—
863	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
864	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
865	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
866	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
867	#103	C₂³×C₁₁	1	1	yes	characteristic
868	#103	C₂³×C₁₁	1	1	yes	characteristic
869	#103	C₂³×C₁₁	1	1	yes	characteristic
870	#103	C₂³×C₁₁	1	1	yes	characteristic
871	#103	C₂³×C₁₁	1	2	yes	—
872	#103	C₂³×C₁₁	1	2	yes	—
873	#102	C₂³×C₁₁	1	1	yes	characteristic
874	#102	C₂³×C₁₁	1	2	yes	—
875	#102	C₂³×C₁₁	1	1	yes	characteristic
876	#102	C₂³×C₁₁	1	1	yes	characteristic
877	#102	C₂³×C₁₁	1	1	yes	characteristic
878	#102	C₂³×C₁₁	1	2	yes	—
879	#102	C₂³×C₁₁	1	2	yes	—
880	#102	C₂³×C₁₁	1	2	yes	—
881	#102	C₂³×C₁₁	1	2	yes	—
882	#102	C₂³×C₁₁	1	2	yes	—
883	#102	C₂³×C₁₁	1	2	yes	—
884	#102	C₂³×C₁₁	1	2	yes	—
885	#102	C₂³×C₁₁	1	2	yes	—
886	#102	C₂³×C₁₁	1	2	yes	—
887	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
888	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
889	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
890	#97	C₂³×C₁₁	1	2	yes	—
891	#97	C₂³×C₁₁	1	2	yes	—
892	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
893	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
894	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
895	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
896	C₄×C₈	C₂³×C₁₁	1	2	yes	—
897	C₂×C₁₁	—	2	2	no	—
898	C₂×C₁₁	—	4	2	no	—
899	C₂×C₁₁	—	4	2	no	—
900	C₂×C₁₁	—	8	2	no	—
901	C₂×C₁₁	—	8	1	no	—
902	C₂×C₁₁	—	8	2	no	—
903	C₂×C₁₁	D₄×#41	1	1	yes	characteristic
904	C₂×C₁₁	C₂×#576	1	1	yes	characteristic
905	C₂×C₁₁	C₂×#577	1	1	yes	characteristic
906	C₂⁴	—	2	1	no	—
907	C₂⁴	—	2	2	no	—
908	#41	—	2	4	no	—
909	#41	—	4	2	no	—
910	#41	—	8	2	no	—
911	#41	—	8	2	no	—
912	#41	—	8	4	no	—
913	#41	—	8	2	no	—
914	C₂×Q₈	—	2	1	no	—
915	C₂×Q₈	—	2	1	no	—
916	C₂×Q₈	—	2	2	no	—
917	C₂×Q₈	—	2	1	no	—
918	C₂×Q₈	—	2	2	no	—
919	C₂×Q₈	—	4	1	no	—
920	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
921	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
922	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	4	no	—
925	C₂×D₄	—	2	2	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	2	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	—	2	1	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	1	no	—
934	C₂×D₄	—	2	1	no	—
935	C₂×D₄	—	2	2	no	—
936	C₂×D₄	—	2	1	no	—
937	C₂×D₄	—	2	2	no	—
938	C₂×D₄	—	2	1	no	—
939	C₂×D₄	—	4	1	no	—
940	C₂×D₄	—	4	2	no	—
941	C₂×D₄	—	8	2	no	—
942	C₂×D₄	—	8	4	no	—
943	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
944	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
945	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
946	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
947	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
948	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
949	C₂²×C₄	—	2	1	no	—
950	C₂²×C₄	—	2	1	no	—
951	C₂²×C₄	—	2	1	no	—
952	C₂²×C₄	—	2	2	no	—
953	C₂²×C₄	—	2	2	no	—
954	C₂²×C₄	—	2	1	no	—
955	C₂²×C₄	—	2	1	no	—
956	C₂²×C₄	—	2	1	no	—
957	C₂²×C₄	—	2	2	no	—
958	C₂²×C₄	—	2	2	no	—
959	C₂²×C₄	—	2	2	no	—
960	C₂²×C₄	—	2	2	no	—
961	C₂²×C₄	—	2	2	no	—
962	C₂²×C₄	—	2	1	no	—
963	C₂²×C₄	—	8	2	no	—
964	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
965	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
966	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
967	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
968	SD₁₆	—	2	2	no	—
969	SD₁₆	—	2	4	no	—
970	SD₁₆	—	2	2	no	—
971	SD₁₆	—	2	2	no	—
972	SD₁₆	—	4	2	no	—
973	SD₁₆	C₁₁×#41	1	4	yes	complemented
974	D₈	—	2	4	no	—
975	D₈	—	2	4	no	—
976	D₈	—	4	2	no	—
977	D₈	—	4	2	no	—
978	M₁₆	—	2	4	no	—
979	C₂×C₈	—	2	2	no	—
980	C₂×C₈	—	4	1	no	—
981	C₂×C₈	—	4	2	no	—
982	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
983	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
984	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
985	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
986	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
987	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
988	C₄⋊C₄	—	2	1	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	—	2	1	no	—
991	C₄⋊C₄	—	2	2	no	—
992	C₄⋊C₄	—	2	1	no	—
993	C₄⋊C₄	—	2	1	no	—
994	C₄⋊C₄	—	2	1	no	—
995	C₄⋊C₄	—	2	2	no	—
996	C₄⋊C₄	—	2	1	no	—
997	C₄⋊C₄	—	2	1	no	—
998	C₄⋊C₄	—	2	1	no	—
999	C₄⋊C₄	—	2	2	no	—
1000	C₄⋊C₄	—	2	2	no	—
1001	C₄⋊C₄	—	2	2	no	—
1002	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1003	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1004	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1005	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1006	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1007	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1008	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1009	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
1010	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1011	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1012	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1013	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	1	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	1	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	1	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	1	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	2	no	—
1031	C₂²⋊C₄	—	2	2	no	—
1032	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1033	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1034	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1035	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1036	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1037	C₄²	—	2	1	no	—
1038	C₄²	—	2	1	no	—
1039	C₄²	—	2	1	no	—
1040	C₄²	—	2	1	no	—
1041	C₄²	—	2	2	no	—
1042	C₄²	—	2	2	no	—
1043	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1044	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1045	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1046	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1047	C₄²	C₂⁴×C₁₁	1	2	yes	—
1048	C₁₁	#61498	1	1	yes	characteristic, direct product factor, Sylow
1049	C₂³	—	2	1	no	—
1050	C₂³	—	2	2	no	—
1051	C₂³	—	2	2	no	—
1052	C₂³	—	2	1	no	—
1053	C₂³	—	4	2	no	—
1054	C₂³	—	4	4	no	—
1055	C₂³	—	4	2	no	—
1056	C₂³	—	8	1	no	—
1057	C₂³	—	8	2	no	—
1058	C₂³	—	8	2	no	—
1059	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
1060	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
1061	Q₈	—	2	2	no	—
1062	Q₈	—	2	1	no	—
1063	Q₈	—	2	1	no	—
1064	Q₈	—	2	1	no	—
1065	Q₈	—	4	2	no	—
1066	Q₈	—	8	1	no	—
1067	Q₈	—	8	1	no	—
1068	Q₈	—	8	2	no	—
1069	Q₈	C₂×C₁₁×#41	1	2	yes	—
1070	D₄	—	2	4	no	—
1071	D₄	—	2	2	no	—
1072	D₄	—	2	2	no	—
1073	D₄	—	2	2	no	—
1074	D₄	—	2	1	no	—
1075	D₄	—	2	1	no	—
1076	D₄	—	2	1	no	—
1077	D₄	—	2	2	no	—
1078	D₄	—	2	2	no	—
1079	D₄	—	4	4	no	—
1080	D₄	—	4	2	no	—
1081	D₄	—	4	4	no	—
1082	D₄	—	4	4	no	—
1083	D₄	—	4	4	no	—
1084	D₄	—	4	2	no	—
1085	D₄	—	4	2	no	—
1086	D₄	—	8	2	no	—
1087	D₄	—	8	1	no	—
1088	D₄	—	8	1	no	—
1089	D₄	—	8	2	no	—
1090	D₄	—	8	2	no	—
1091	D₄	—	8	2	no	—
1092	D₄	—	8	2	no	—
1093	D₄	C₂×C₁₁×#41	1	2	yes	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	2	1	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	2	2	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	4	4	no	—
1109	C₂×C₄	—	4	2	no	—
1110	C₂×C₄	—	4	2	no	—
1111	C₂×C₄	—	4	2	no	—
1112	C₂×C₄	—	4	2	no	—
1113	C₂×C₄	—	8	1	no	—
1114	C₂×C₄	—	8	1	no	—
1115	C₂×C₄	—	8	2	no	—
1116	C₂×C₄	—	8	2	no	—
1117	C₂×C₄	—	8	2	no	—
1118	C₂×C₄	—	8	2	no	—
1119	C₂×C₄	—	8	2	no	—
1120	C₂×C₄	—	8	1	no	—
1121	C₂×C₄	—	8	2	no	—
1122	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1123	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1124	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1125	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1126	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1127	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1128	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1129	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1130	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
1131	C₈	—	2	1	no	—
1132	C₈	—	2	2	no	—
1133	C₈	—	2	1	no	—
1134	C₈	—	2	1	no	—
1135	C₈	—	2	2	no	—
1136	C₈	C₂×C₁₁×#41	1	2	yes	—
1137	C₂²	—	2	1	no	—
1138	C₂²	—	2	1	no	—
1139	C₂²	—	2	2	no	—
1140	C₂²	—	2	2	no	—
1141	C₂²	—	2	2	no	—
1142	C₂²	—	2	2	no	—
1143	C₂²	—	4	1	no	—
1144	C₂²	—	4	1	no	—
1145	C₂²	—	4	2	no	—
1146	C₂²	—	4	1	no	—
1147	C₂²	—	4	2	no	—
1148	C₂²	—	4	2	no	—
1149	C₂²	—	4	2	no	—
1150	C₂²	—	4	1	no	—
1151	C₂²	—	4	1	no	—
1152	C₂²	—	4	2	no	—
1153	C₂²	—	4	2	no	—
1154	C₂²	—	8	4	no	—
1155	C₂²	—	16	4	no	—
1156	C₂²	C₁₁×#576	1	2	yes	—
1157	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
1158	C₄	—	2	2	no	—
1159	C₄	—	2	1	no	—
1160	C₄	—	2	2	no	—
1161	C₄	—	2	1	no	—
1162	C₄	—	2	1	no	—
1163	C₄	—	2	2	no	—
1164	C₄	—	2	1	no	—
1165	C₄	—	2	2	no	—
1166	C₄	—	4	1	no	—
1167	C₄	—	4	1	no	—
1168	C₄	—	4	1	no	—
1169	C₄	—	4	2	no	—
1170	C₄	—	4	2	no	—
1171	C₄	—	4	1	no	—
1172	C₄	—	4	1	no	—
1173	C₄	C₁₁×#577	1	2	yes	—
1174	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
1175	C₄	C₁₁×#585	1	1	yes	characteristic
1176	C₂	—	2	2	no	—
1177	C₂	—	4	2	no	—
1178	C₂	—	4	2	no	—
1179	C₂	—	8	1	no	—
1180	C₂	—	8	2	no	—
1181	C₂	—	8	2	no	—
1182	C₂	D₄×C₁₁×#41	1	1	yes	characteristic
1183	C₂	C₂×C₁₁×#576	1	1	yes	characteristic
1184	C₂	C₂×C₁₁×#577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₁₁×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3522	C₂	semidirect
2. C₁₁×#3519	C₂	semidirect
3. C₁₁×#3399	C₂	semidirect
4. C₁₁×#3385	C₂	semidirect
5. C₁₁×#3362	C₂	semidirect
6. C₁₁×#3361	C₂	semidirect
7. C₁₁×#3357	C₂	semidirect
8. C₁₁×#3345	C₂	semidirect
9. C₁₁×#3305	C₂	semidirect
10. C₁₁×#3301	C₂	semidirect
11. C₁₁×#3295	C₂	semidirect
12. C₁₁×#3294	C₂	semidirect
13. C₁₁×#3274	C₂	semidirect
14. C₁₁×#3265	C₂	semidirect
15. C₁₁×#3179	C₂	semidirect
16. C₁₁×#3169	C₂	semidirect
17. C₁₁×#3119	C₂	semidirect
18. C₁₁×#3118	C₂	semidirect
19. C₁₁×#3112	C₂	semidirect
20. C₁₁×#3109	C₂	semidirect
21. C₁₁×#2966	C₂	semidirect
22. C₁₁×#2946	C₂	semidirect
23. C₂×C₄×C₁₁×SD₁₆	C₂	semidirect
27. C₁₁×#559	C₂²	semidirect
28. Q₈²×C₁₁	C₂²	semidirect
32. C₁₁×#554	C₂²	semidirect
36. C₁₁×#550	C₂²	semidirect
37. C₁₁×#548	C₂²	semidirect
39. C₁₁×#547	C₂²	semidirect
45. C₁₁×#542	C₂²	semidirect
50. C₁₁×#532	C₂²	semidirect
55. C₁₁×#520	C₂²	semidirect
57. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
59. C₁₁×#501	C₂²	semidirect
60. C₁₁×#500	C₂²	semidirect
61. C₁₁×#496	C₂²	semidirect
62. C₁₁×#493	C₂²	semidirect
63. C₁₁×#488	C₂²	semidirect
64. C₁₁×#486	C₂²	semidirect
65. C₁₁×#486	C₂²	semidirect
66. C₁₁×#486	C₂²	semidirect
67. C₁₁×#485	C₂²	semidirect
68. C₁₁×#482	C₂²	semidirect
69. C₁₁×#481	C₂²	semidirect
70. C₁₁×#481	C₂²	semidirect
71. C₁₁×#480	C₂²	semidirect
72. C₁₁×#480	C₂²	semidirect
73. C₁₁×#479	C₂²	semidirect
74. C₁₁×#478	C₂²	semidirect
75. C₁₁×#477	C₂²	semidirect
76. C₁₁×#477	C₂²	semidirect
78. C₁₁×#476	C₂²	semidirect
79. C₁₁×#476	C₂²	semidirect
81. C₁₁×#469	C₂²	semidirect
82. C₁₁×#468	C₂²	semidirect
83. C₁₁×#466	C₂²	semidirect
84. C₁₁×#466	C₂²	semidirect
85. C₁₁×#466	C₂²	semidirect
86. C₁₁×#465	C₂²	semidirect
88. C₁₁×#463	C₂²	semidirect
89. C₁₁×#460	C₂²	semidirect
90. C₁₁×#460	C₂²	semidirect
91. C₁₁×#460	C₂²	semidirect
93. C₁₁×#459	C₂²	semidirect
94. C₁₁×#459	C₂²	semidirect
96. C₁₁×#449	C₂²	semidirect
97. C₁₁×#449	C₂²	semidirect
98. C₁₁×#448	C₂²	semidirect
101. C₁₁×#446	C₂²	semidirect
102. C₈×Q₈×C₁₁	C₂²	semidirect
104. C₁₁×#442	C₂²	semidirect
105. C₁₁×#442	C₂²	semidirect
107. C₁₁×#440	C₂²	semidirect
108. C₁₁×#440	C₂²	semidirect
113. C₄×C₁₁×SD₁₆	C₂²	semidirect
114. C₄×C₁₁×SD₁₆	C₂²	semidirect
115. C₄×C₁₁×SD₁₆	C₂²	semidirect
116. C₄×C₁₁×SD₁₆	C₂²	semidirect
117. C₄×C₁₁×SD₁₆	C₂²	semidirect
119. C₄×C₁₁×D₈	C₂²	semidirect
120. C₄×C₁₁×D₈	C₂²	semidirect
121. C₁₁×#436	C₂²	semidirect
122. C₁₁×#435	C₂²	semidirect
123. C₈×D₄×C₁₁	C₂²	semidirect
124. C₈×D₄×C₁₁	C₂²	semidirect
125. C₁₁×#433	C₂²	semidirect
126. C₁₁×#432	C₂²	semidirect
127. C₁₁×#428	C₂²	semidirect
128. C₂×C₁₁×#106	C₂²	semidirect
129. C₁₁×#416	C₂²	semidirect
130. C₂×C₁₁×#103	C₂²	semidirect
133. C₁₁×#405	C₂²	semidirect
134. C₂×C₄×C₈×C₁₁	C₂²	semidirect
314. #61498	C₁₁	direct (N × H)
382. C₁₁×SD₁₆	#41	semidirect
457. #3522	C₂×C₁₁	semidirect
458. #3519	C₂×C₁₁	semidirect
459. #3399	C₂×C₁₁	semidirect
460. #3385	C₂×C₁₁	semidirect
461. #3362	C₂×C₁₁	semidirect
462. #3361	C₂×C₁₁	semidirect
463. #3357	C₂×C₁₁	semidirect
464. #3345	C₂×C₁₁	semidirect
465. #3305	C₂×C₁₁	semidirect
466. #3301	C₂×C₁₁	semidirect
467. #3295	C₂×C₁₁	semidirect
468. #3294	C₂×C₁₁	semidirect
469. #3274	C₂×C₁₁	semidirect
470. #3265	C₂×C₁₁	semidirect
471. #3179	C₂×C₁₁	semidirect
472. #3169	C₂×C₁₁	semidirect
473. #3119	C₂×C₁₁	semidirect
474. #3118	C₂×C₁₁	semidirect
475. #3112	C₂×C₁₁	semidirect
476. #3109	C₂×C₁₁	semidirect
477. #2966	C₂×C₁₁	semidirect
478. #2946	C₂×C₁₁	semidirect
479. C₂×C₄×SD₁₆	C₂×C₁₁	semidirect
571. #559	C₂²×C₁₁	semidirect
572. Q₈²	C₂²×C₁₁	semidirect
576. #554	C₂²×C₁₁	semidirect
580. #550	C₂²×C₁₁	semidirect
581. #548	C₂²×C₁₁	semidirect
583. #547	C₂²×C₁₁	semidirect
589. #542	C₂²×C₁₁	semidirect
594. #532	C₂²×C₁₁	semidirect
599. #520	C₂²×C₁₁	semidirect
601. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
603. #501	C₂²×C₁₁	semidirect
604. #500	C₂²×C₁₁	semidirect
605. #496	C₂²×C₁₁	semidirect
606. #493	C₂²×C₁₁	semidirect
607. #488	C₂²×C₁₁	semidirect
608. #486	C₂²×C₁₁	semidirect
609. #486	C₂²×C₁₁	semidirect
610. #486	C₂²×C₁₁	semidirect
611. #485	C₂²×C₁₁	semidirect
612. #482	C₂²×C₁₁	semidirect
613. #481	C₂²×C₁₁	semidirect
614. #481	C₂²×C₁₁	semidirect
615. #480	C₂²×C₁₁	semidirect
616. #480	C₂²×C₁₁	semidirect
617. #479	C₂²×C₁₁	semidirect
618. #478	C₂²×C₁₁	semidirect
619. #477	C₂²×C₁₁	semidirect
620. #477	C₂²×C₁₁	semidirect
622. #476	C₂²×C₁₁	semidirect
623. #476	C₂²×C₁₁	semidirect
625. #469	C₂²×C₁₁	semidirect
626. #468	C₂²×C₁₁	semidirect
627. #466	C₂²×C₁₁	semidirect
628. #466	C₂²×C₁₁	semidirect
629. #466	C₂²×C₁₁	semidirect
630. #465	C₂²×C₁₁	semidirect
632. #463	C₂²×C₁₁	semidirect
633. #460	C₂²×C₁₁	semidirect
634. #460	C₂²×C₁₁	semidirect
635. #460	C₂²×C₁₁	semidirect
637. #459	C₂²×C₁₁	semidirect
638. #459	C₂²×C₁₁	semidirect
640. #449	C₂²×C₁₁	semidirect
641. #449	C₂²×C₁₁	semidirect
642. #448	C₂²×C₁₁	semidirect
645. #446	C₂²×C₁₁	semidirect
646. C₈×Q₈	C₂²×C₁₁	semidirect
648. #442	C₂²×C₁₁	semidirect
649. #442	C₂²×C₁₁	semidirect
651. #440	C₂²×C₁₁	semidirect
652. #440	C₂²×C₁₁	semidirect
657. C₄×SD₁₆	C₂²×C₁₁	semidirect
658. C₄×SD₁₆	C₂²×C₁₁	semidirect
659. C₄×SD₁₆	C₂²×C₁₁	semidirect
660. C₄×SD₁₆	C₂²×C₁₁	semidirect
661. C₄×SD₁₆	C₂²×C₁₁	semidirect
663. C₄×D₈	C₂²×C₁₁	semidirect
664. C₄×D₈	C₂²×C₁₁	semidirect
665. #436	C₂²×C₁₁	semidirect
666. #435	C₂²×C₁₁	semidirect
667. C₈×D₄	C₂²×C₁₁	semidirect
668. C₈×D₄	C₂²×C₁₁	semidirect
669. #433	C₂²×C₁₁	semidirect
670. #432	C₂²×C₁₁	semidirect
671. #428	C₂²×C₁₁	semidirect
672. C₂×#106	C₂²×C₁₁	semidirect
673. #416	C₂²×C₁₁	semidirect
674. C₂×#103	C₂²×C₁₁	semidirect
677. #405	C₂²×C₁₁	semidirect
678. C₂×C₄×C₈	C₂²×C₁₁	semidirect
973. SD₁₆	C₁₁×#41	semidirect
1048. C₁₁	#61498	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₁×#3522	2
C₁₁×#3519	2
C₁₁×#3399	2
C₁₁×#3385	2
C₁₁×#3362	2
C₁₁×#3361	2
C₁₁×#3357	2
C₁₁×#3345	2
C₁₁×#3305	2
C₁₁×#3301	2
C₁₁×#3295	2
C₁₁×#3294	2
C₁₁×#3274	2
C₁₁×#3265	2
C₁₁×#3179	2
C₁₁×#3169	2
C₁₁×#3119	2
C₁₁×#3118	2
C₁₁×#3112	2
C₁₁×#3109	2
C₁₁×#2966	2
C₁₁×#2946	2
C₂×C₄×C₁₁×SD₁₆	2
#61498	11

Subgroups — C11×#61498 #14638691

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61498 #14638691