Finite Group Databasebeta

← C2×#13082776 #15661025

Subgroups — C2×#13082776 #15661025

Order 2816.

7430 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082776C2132yesmaximal, direct product factor
2C2×#10623230C211yesmaximal, characteristic, complemented
3C2×#10623198C211yesmaximal, characteristic, complemented
4C2×#10623152C211yesmaximal, characteristic, complemented
5C2×#10623151C211yesmaximal, characteristic, complemented
6C2×#10623195C211yesmaximal, characteristic, complemented
7C2×#10623096C211yesmaximal, characteristic, complemented
8C2×#10623132C211yesmaximal, characteristic, complemented
9C2×#10623060C211yesmaximal, characteristic, complemented
10C2×#10623224C211yesmaximal, characteristic, complemented
11C2×#10623087C211yesmaximal, characteristic, complemented
12C2×#10623058C211yesmaximal, characteristic, complemented
13C2×#10623189C211yesmaximal, characteristic, complemented
14C2×#10623142C211yesmaximal, characteristic, complemented
15C2×#10623186C211yesmaximal, characteristic, complemented
16C2×#10623143C211yesmaximal, characteristic, complemented
17C2×#10623141C211yesmaximal, characteristic, complemented
18C2×#10623193C211yesmaximal, characteristic, complemented
19C2×#10623134C211yesmaximal, characteristic, complemented
20C2×#10623250C211yesmaximal, characteristic, complemented
21C2×#10623196C211yesmaximal, characteristic, complemented
22C2×#10623095C211yesmaximal, characteristic, complemented
23C2×#10623148C211yesmaximal, characteristic, complemented
24C2×#10623188C211yesmaximal, characteristic, complemented
25C2×#10623144C211yesmaximal, characteristic, complemented
26C2×#10623144C211yesmaximal, characteristic, complemented
27C2×#10623246C211yesmaximal, characteristic, complemented
28C2×#10623136C211yesmaximal, characteristic, complemented
29C2×#10623137C211yesmaximal, characteristic, complemented
30C2×#10623078C211yesmaximal, characteristic, complemented
31C2×D11×#123C211yesmaximal, characteristic, complemented
32C2×C11×#540C211yesmaximal, characteristic, complemented
33C22×#4341C2211yescharacteristic
34C22×#4341C2211yescharacteristic, complemented
35C22×D4×D11C2211yescharacteristic
36C22×D4×D11C2211yescharacteristic
37C22×#4339C2211yescharacteristic
38C23×C4×D11C2211yescharacteristic, complemented
39C11×#540C22116yescomplemented
40C2×C11×#127C2211yescharacteristic, complemented
41C2×C11×#125C2211yescharacteristic, complemented
42C2×C11×#123C2211yescharacteristic, complemented
43C2×C11×#123C2211yescharacteristic, complemented
44C2×C11×#123C2211yescharacteristic, complemented
45C2×C11×#123C2211yescharacteristic, complemented
46C2×C11×#121C2211yescharacteristic
47C2×C11×#121C2211yescharacteristic, complemented
48C2×C11×#121C2211yescharacteristic, complemented
49C2×C11×#121C2211yescharacteristic, complemented
50C2×C11×#121C2211yescharacteristic, complemented
51C2×C11×#121C2211yescharacteristic, complemented
52C2×C4×D4×C11C2211yescharacteristic, complemented
53C2×C4×D4×C11C2211yescharacteristic, complemented
54C2×C11×#117C2211yescharacteristic, complemented
55C2×#66993C2211yescharacteristic
56C2×#66992C2211yescharacteristic
57C2×#66992C2211yescharacteristic
58C2×#66992C2211yescharacteristic
59C2×#66992C2211yescharacteristic
60C2×#66992C2211yescharacteristic, complemented
61C2×#66992C2211yescharacteristic, complemented
62C2×#66992C2211yescharacteristic, complemented
63C2×#66992C2211yescharacteristic, complemented
64C2×#66992C2211yescharacteristic, complemented
65C2×#66992C2211yescharacteristic, complemented
66C2×#66991C2211yescharacteristic
67C2×#66991C2211yescharacteristic, complemented
68C2×#66991C2211yescharacteristic, complemented
69C2×#66991C2211yescharacteristic, complemented
70C2×#66990C2211yescharacteristic
71C2×#66990C2211yescharacteristic
72C2×#66990C2211yescharacteristic
73C2×#66990C2211yescharacteristic
74C2×#66990C2211yescharacteristic, complemented
75C2×#66990C2211yescharacteristic, complemented
76C2×#66990C2211yescharacteristic, complemented
77C2×#66990C2211yescharacteristic, complemented
78C2×#66989C2211yescharacteristic, complemented
79C2×#66989C2211yescharacteristic, complemented
80C2×#66989C2211yescharacteristic, complemented
81C2×#66988C2211yescharacteristic, complemented
82C2×#66988C2211yescharacteristic, complemented
83C2×#66988C2211yescharacteristic, complemented
84C2×#66988C2211yescharacteristic, complemented
85C2×#66988C2211yescharacteristic, complemented
86C2×#66988C2211yescharacteristic, complemented
87C2×D4×Dic11C2211yescharacteristic, complemented
88C2×D4×Dic11C2211yescharacteristic, complemented
89C2×D4×Dic11C2211yescharacteristic, complemented
90C2×D4×Dic11C2211yescharacteristic, complemented
91C2×#66983C2211yescharacteristic
92C2×#66983C2211yescharacteristic, complemented
93C2×#66982C2211yescharacteristic
94C2×#66982C2211yescharacteristic, complemented
95C2×#66982C2211yescharacteristic, complemented
96C2×C4×C22⋊D11C2211yescharacteristic
97C2×C4×C22⋊D11C2211yescharacteristic, complemented
98C2×C4×C22⋊D11C2211yescharacteristic, complemented
99C2×C4×C22⋊D11C2211yescharacteristic, complemented
100C2×C4×C22⋊D11C2211yescharacteristic, complemented
101C22×(C2×D11)⋊C4C2211yescharacteristic
102C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
103C2×#66979C2211yescharacteristic, complemented
104C22×C4⋊Dic11C2211yescharacteristic, complemented
105C2×#66977C2211yescharacteristic, complemented
106C2×#66977C2211yescharacteristic, complemented
107C2×#66977C2211yescharacteristic, complemented
108C22×Dic11⋊C4C2211yescharacteristic, complemented
109#10623250C22116yescomplemented
110#10623246C22116yescomplemented
111#10623230C22116yescomplemented
112#10623224C22116yescomplemented
113#10623198C22116yescomplemented
114#10623196C22116yescomplemented
115#10623195C22116yescomplemented
116#10623193C22116yescomplemented
117#10623189C22116yescomplemented
118#10623188C22116yescomplemented
119#10623186C22116yescomplemented
120D11×#123C22116yescomplemented
121#10623152C22116yescomplemented
122#10623151C22116yescomplemented
123#10623148C22116yescomplemented
124#10623144C22116yescomplemented
125#10623144C22116yescomplemented
126#10623143C22116yescomplemented
127#10623142C22116yescomplemented
128#10623141C22116yescomplemented
129#10623137C22116yescomplemented
130#10623136C22116yescomplemented
131#10623134C22116yescomplemented
132#10623132C22116yescomplemented
133#10623096C22116yescomplemented
134#10623095C22116yescomplemented
135#10623087C22116yescomplemented
136#10623078C22116yescomplemented
137#10623060C22116yescomplemented
138#10623058C22116yescomplemented
139C2×#66951C2211yescharacteristic, complemented
140C2×#66951C2211yescharacteristic, complemented
141C2×#66951C2211yescharacteristic, complemented
142C2×#66951C2211yescharacteristic, complemented
143C2×#66951C2211yescharacteristic, complemented
144C2×#66951C2211yescharacteristic, complemented
145C2×#66951C2211yescharacteristic, complemented
146C2×#66950C2211yescharacteristic, complemented
147C2×#66950C2211yescharacteristic, complemented
148C2×#66950C2211yescharacteristic, complemented
149C2×#66949C2211yescharacteristic, complemented
150C2×#66949C2211yescharacteristic, complemented
151C2×#66949C2211yescharacteristic, complemented
152C2×#66949C2211yescharacteristic, complemented
153C2×#66949C2211yescharacteristic, complemented
154C2×#66947C2211yescharacteristic
155C2×#66947C2211yescharacteristic
156C2×#66947C2211yescharacteristic
157C2×#66947C2211yescharacteristic
158C2×#66947C2211yescharacteristic
159C2×#66947C2211yescharacteristic, complemented
160C2×#66946C2211yescharacteristic
161C2×#66945C2211yescharacteristic, complemented
162C2×C4⋊C4×D11C2211yescharacteristic, complemented
163C2×C4⋊C4×D11C2211yescharacteristic, complemented
164C2×#66943C2211yescharacteristic, complemented
165C2×#66942C2211yescharacteristic, complemented
166C2×#66942C2211yescharacteristic, complemented
167C2×#66941C2211yescharacteristic, complemented
168C2×#66941C2211yescharacteristic, complemented
169C2×#66940C2211yescharacteristic, complemented
170C2×#66940C2211yescharacteristic, complemented
171C2×#66939C2211yescharacteristic
172C2×#66939C2211yescharacteristic, complemented
173C2×#66939C2211yescharacteristic, complemented
174C2×#66938C2211yescharacteristic, complemented
175C2×#66938C2211yescharacteristic, complemented
176C2×#66938C2211yescharacteristic, complemented
177C2×#66938C2211yescharacteristic, complemented
178C2×#66938C2211yescharacteristic, complemented
179C2×#66938C2211yescharacteristic, complemented
180C2×#66937C2211yescharacteristic
181C2×#66937C2211yescharacteristic, complemented
182C2×#66936C2211yescharacteristic
183C2×#66936C2211yescharacteristic
184C2×#66936C2211yescharacteristic
185C2×#66936C2211yescharacteristic, complemented
186C2×#66936C2211yescharacteristic, complemented
187C2×#66936C2211yescharacteristic, complemented
188C2×#66936C2211yescharacteristic, complemented
189C2×#66936C2211yescharacteristic, complemented
190C2×#66935C2211yescharacteristic
191C2×#66935C2211yescharacteristic
192C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
193C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
194C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
195C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
196C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
197C2×C22⋊C4×D11C2211yescharacteristic
198C2×C22⋊C4×D11C2211yescharacteristic
199C2×C22⋊C4×D11C2211yescharacteristic, complemented
200C2×C22⋊C4×D11C2211yescharacteristic, complemented
201C2×#66932C2211yescharacteristic, complemented
202C2×#66932C2211yescharacteristic, complemented
203C2×#66932C2211yescharacteristic, complemented
204C2×#66932C2211yescharacteristic, complemented
205C2×#66931C2211yescharacteristic, complemented
206C2×#66931C2211yescharacteristic, complemented
207C2×#66931C2211yescharacteristic, complemented
208C2×#66931C2211yescharacteristic, complemented
209C2×#66931C2211yescharacteristic, complemented
210C2×#66930C2211yescharacteristic, complemented
211C2×#66929C2211yescharacteristic, complemented
212C2×#66928C2211yescharacteristic
213C2×C4×D44C2211yescharacteristic, complemented
214C2×#66925C2211yescharacteristic, complemented
215C2×#66925C2211yescharacteristic, complemented
216C2×#66925C2211yescharacteristic, complemented
217C2×#66923C2211yescharacteristic, complemented
218C2×#66923C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C22×D4×C11C2311yescharacteristic
223C22×D4×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C22×D4×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C22×D4×C11C2311yescharacteristic
230C22×D4×C11C2311yescharacteristic
231C22×D4×C11C2311yescharacteristic
232C23×C4×C11C2311yescharacteristic
233C23×C4×C11C2311yescharacteristic
234C23×C4×C11C2311yescharacteristic
235C23×C4×C11C2311yescharacteristic
236C23×C4×C11C2311yescharacteristic
237C22×C22⋊D11C2311yescharacteristic
238C22×C22⋊D11C2311yescharacteristic
239C22×C22⋊D11C2311yescharacteristic
240C22×C22⋊D11C2311yescharacteristic
241C22×C22⋊D11C2311yescharacteristic
242C22×C22⋊D11C2311yescharacteristic
243C22×C22⋊D11C2311yescharacteristic
244C22×C22⋊D11C2311yescharacteristic
245C22×C22⋊D11C2311yescharacteristic
246C22×C22⋊D11C2311yescharacteristic
247C22×C22⋊D11C2311yescharacteristic
248C22×C22⋊D11C2311yescharacteristic
249C22×C22⋊D11C2311yescharacteristic
250C22×C22⋊D11C2311yescharacteristic
251C23×Dic11C2311yescharacteristic
252C23×Dic11C2311yescharacteristic
253C23×Dic11C2311yescharacteristic
254C23×Dic11C2311yescharacteristic
255C23×Dic11C2311yescharacteristic
256C23×Dic11C2311yescharacteristic
257C23×Dic11C2311yescharacteristic
258C2×#4341—44no—
259C2×#4341—44no—
260C2×#4341C2318yes—
261C2×#4341C2318yescomplemented
262C2×D4×D11—44no—
263C2×D4×D11—44no—
264C2×D4×D11C2318yes—
265C2×D4×D11C2318yes—
266C2×#4339—44no—
267C2×#4339C2318yes—
268C22×D44C2311yescharacteristic
269C22×D44C2311yescharacteristic
270C22×D44C2311yescharacteristic
271C22×C4×D11—44no—
272C22×C4×D11C2311yescharacteristic
273C22×C4×D11C2311yescharacteristic
274C22×C4×D11C2311yescharacteristic
275C22×C4×D11C2311yescharacteristic
276C22×C4×D11C2311yescharacteristic
277C22×C4×D11C2311yescharacteristic
278C22×C4×D11C2311yescharacteristic
279C22×C4×D11C2311yescharacteristic
280C22×C4×D11C2311yescharacteristic
281C22×C4×D11C2311yescharacteristic
282C22×C4×D11C2318yescomplemented
283C22×Dic22C2311yescharacteristic
284C22×Dic22C2311yescharacteristic
285C22×Dic22C2311yescharacteristic
286C22×Dic22C2311yescharacteristic
287C22×Dic22C2311yescharacteristic
288C11×#127C2318yescomplemented
289C11×#125C2318yescomplemented
290C11×#123C2318yescomplemented
291C11×#123C2318yescomplemented
292C11×#123C2318yescomplemented
293C11×#123C2318yescomplemented
294C11×#121C2318yes—
295C11×#121C2318yescomplemented
296C11×#121C2318yescomplemented
297C11×#121C2318yescomplemented
298C11×#121C2318yescomplemented
299C11×#121C2318yescomplemented
300C4×D4×C11C2318yescomplemented
301C4×D4×C11C2318yescomplemented
302C11×#117C2318yescomplemented
303C2×C11×C4⋊C4C2311yescharacteristic
304C2×C11×C4⋊C4C2311yescharacteristic
305C2×C11×C4⋊C4C2311yescharacteristic
306C2×C11×C4⋊C4C2311yescharacteristic
307C2×C11×C4⋊C4C2311yescharacteristic
308C2×C11×C4⋊C4C2311yescharacteristic
309C2×C11×C4⋊C4C2311yescharacteristic
310C2×C11×C4⋊C4C2311yescharacteristic
311C2×C11×C22⋊C4C2311yescharacteristic
312C2×C11×C22⋊C4C2311yescharacteristic
313C2×C11×C22⋊C4C2311yescharacteristic
314C2×C11×C22⋊C4C2311yescharacteristic
315C2×C11×C22⋊C4C2311yescharacteristic
316C2×C11×C22⋊C4C2311yescharacteristic
317C2×C11×C22⋊C4C2311yescharacteristic
318C2×C11×C22⋊C4C2311yescharacteristic
319C2×C11×C22⋊C4C2311yescharacteristic
320C2×C11×C22⋊C4C2311yescharacteristic
321C2×C42×C11C2311yescharacteristic
322C2×C42×C11C2311yescharacteristic
323C2×C22⋊Dic11C2311yescharacteristic
324C2×C22⋊Dic11C2311yescharacteristic
325C2×C22⋊Dic11C2311yescharacteristic
326C2×C22⋊Dic11C2311yescharacteristic
327C2×C22⋊Dic11C2311yescharacteristic
328C2×C22⋊Dic11C2311yescharacteristic
329C2×C22⋊Dic11C2311yescharacteristic
330C2×C22⋊Dic11C2311yescharacteristic
331C2×C22⋊Dic11C2311yescharacteristic
332C2×C22⋊Dic11C2311yescharacteristic
333C2×C22⋊Dic11C2311yescharacteristic
334C2×C22⋊Dic11C2311yescharacteristic
335C2×C22⋊Dic11C2311yescharacteristic
336C2×C22⋊Dic11C2311yescharacteristic
337C2×C22⋊Dic11C2311yescharacteristic
338C2×C22⋊Dic11C2311yescharacteristic
339#66993C2318yes—
340#66992C2318yes—
341#66992C2318yes—
342#66992C2318yes—
343#66992C2318yes—
344#66992C2318yescomplemented
345#66992C2318yescomplemented
346#66992C2318yescomplemented
347#66992C2318yescomplemented
348#66992C2318yescomplemented
349#66992C2318yescomplemented
350#66991C2318yes—
351#66991C2318yescomplemented
352#66991C2318yescomplemented
353#66991C2318yescomplemented
354#66990C2318yes—
355#66990C2318yes—
356#66990C2318yes—
357#66990C2318yes—
358#66990C2318yescomplemented
359#66990C2318yescomplemented
360#66990C2318yescomplemented
361#66990C2318yescomplemented
362#66989C2318yescomplemented
363#66989C2318yescomplemented
364#66989C2318yescomplemented
365#66988C2318yescomplemented
366#66988C2318yescomplemented
367#66988C2318yescomplemented
368#66988C2318yescomplemented
369#66988C2318yescomplemented
370#66988C2318yescomplemented
371D4×Dic11C2318yescomplemented
372D4×Dic11C2318yescomplemented
373D4×Dic11C2318yescomplemented
374D4×Dic11C2318yescomplemented
375#66983C2318yes—
376#66983C2318yescomplemented
377#66982C2318yes—
378#66982C2318yescomplemented
379#66982C2318yescomplemented
380C4×C22⋊D11C2318yes—
381C4×C22⋊D11C2318yescomplemented
382C4×C22⋊D11C2318yescomplemented
383C4×C22⋊D11C2318yescomplemented
384C4×C22⋊D11C2318yescomplemented
385C2×(C2×D11)⋊C4C2311yescharacteristic
386C2×(C2×D11)⋊C4C2311yescharacteristic
387C2×(C2×D11)⋊C4C2311yescharacteristic
388C2×(C2×D11)⋊C4C2311yescharacteristic
389C2×(C2×D11)⋊C4C2311yescharacteristic
390C2×(C2×D11)⋊C4C2311yescharacteristic
391C2×(C2×D11)⋊C4C2311yescharacteristic
392C2×(C2×D11)⋊C4C2311yescharacteristic
393C2×(C2×D11)⋊C4C2311yescharacteristic
394C2×(C2×D11)⋊C4C2311yescharacteristic
395C2×(C2×D11)⋊C4C2311yescharacteristic
396C2×(C2×D11)⋊C4C2311yescharacteristic
397C2×(C2×D11)⋊C4C2311yescharacteristic
398C2×(C2×D11)⋊C4C2311yescharacteristic
399C2×(C2×D11)⋊C4C2311yescharacteristic
400C2×(C2×D11)⋊C4C2311yescharacteristic
401C2×(C2×D11)⋊C4C2311yescharacteristic
402C2×(C2×D11)⋊C4C2311yescharacteristic
403C2×(C2×D11)⋊C4C2311yescharacteristic
404C2×(C2×D11)⋊C4C2311yescharacteristic
405C2×(C2×D11)⋊C4C2311yescharacteristic
406C2×(C2×D11)⋊C4C2311yescharacteristic
407C2×(C2×D11)⋊C4C2311yescharacteristic
408C2×(C2×D11)⋊C4C2311yescharacteristic
409C2×(C2×D11)⋊C4C2318yes—
410C2×(C2×D11)⋊C4C2318yescomplemented
411#66979C2318yescomplemented
412C2×C4⋊Dic11C2311yescharacteristic
413C2×C4⋊Dic11C2311yescharacteristic
414C2×C4⋊Dic11C2311yescharacteristic
415C2×C4⋊Dic11C2311yescharacteristic
416C2×C4⋊Dic11C2311yescharacteristic
417C2×C4⋊Dic11C2311yescharacteristic
418C2×C4⋊Dic11C2311yescharacteristic
419C2×C4⋊Dic11C2311yescharacteristic
420C2×C4⋊Dic11C2311yescharacteristic
421C2×C4⋊Dic11C2311yescharacteristic
422C2×C4⋊Dic11C2318yescomplemented
423#66977C2318yescomplemented
424#66977C2318yescomplemented
425#66977C2318yescomplemented
426C2×Dic11⋊C4C2311yescharacteristic
427C2×Dic11⋊C4C2311yescharacteristic
428C2×Dic11⋊C4C2311yescharacteristic
429C2×Dic11⋊C4C2311yescharacteristic
430C2×Dic11⋊C4C2311yescharacteristic
431C2×Dic11⋊C4C2311yescharacteristic
432C2×Dic11⋊C4C2311yescharacteristic
433C2×Dic11⋊C4C2311yescharacteristic
434C2×Dic11⋊C4C2311yescharacteristic
435C2×Dic11⋊C4C2311yescharacteristic
436C2×Dic11⋊C4C2311yescharacteristic
437C2×Dic11⋊C4C2311yescharacteristic
438C2×Dic11⋊C4C2311yescharacteristic
439C2×Dic11⋊C4C2311yescharacteristic
440C2×Dic11⋊C4C2311yescharacteristic
441C2×Dic11⋊C4C2311yescharacteristic
442C2×Dic11⋊C4C2311yescharacteristic
443C2×Dic11⋊C4C2311yescharacteristic
444C2×Dic11⋊C4C2311yescharacteristic
445C2×Dic11⋊C4C2311yescharacteristic
446C2×Dic11⋊C4C2318yescomplemented
447C2×C4×Dic11C2311yescharacteristic
448C2×C4×Dic11C2311yescharacteristic
449C2×C4×Dic11C2311yescharacteristic
450C2×C4×Dic11C2311yescharacteristic
451C2×C4×Dic11C2311yescharacteristic
452C2×C4×Dic11C2311yescharacteristic
453C2×C4×Dic11C2311yescharacteristic
454C2×C4×Dic11C2311yescharacteristic
455#66951C2318yescomplemented
456#66951C2318yescomplemented
457#66951C2318yescomplemented
458#66951C2318yescomplemented
459#66951C2318yescomplemented
460#66951C2318yescomplemented
461#66951C2318yescomplemented
462#66950C2318yescomplemented
463#66950C2318yescomplemented
464#66950C2318yescomplemented
465#66949C2318yescomplemented
466#66949C2318yescomplemented
467#66949C2318yescomplemented
468#66949C2318yescomplemented
469#66949C2318yescomplemented
470#66947C2318yes—
471#66947C2318yes—
472#66947C2318yes—
473#66947C2318yes—
474#66947C2318yes—
475#66947C2318yescomplemented
476#66946C2318yes—
477#66945C2318yescomplemented
478C4⋊C4×D11C2318yescomplemented
479C4⋊C4×D11C2318yescomplemented
480#66943C2318yescomplemented
481#66942C2318yescomplemented
482#66942C2318yescomplemented
483#66941C2318yescomplemented
484#66941C2318yescomplemented
485#66940C2318yescomplemented
486#66940C2318yescomplemented
487#66939C2318yes—
488#66939C2318yescomplemented
489#66939C2318yescomplemented
490#66938C2318yescomplemented
491#66938C2318yescomplemented
492#66938C2318yescomplemented
493#66938C2318yescomplemented
494#66938C2318yescomplemented
495#66938C2318yescomplemented
496#66937C2318yes—
497#66937C2318yescomplemented
498#66936C2318yes—
499#66936C2318yes—
500#66936C2318yes—
501#66936C2318yescomplemented
502#66936C2318yescomplemented
503#66936C2318yescomplemented
504#66936C2318yescomplemented
505#66936C2318yescomplemented
506#66935C2318yes—
507#66935C2318yes—
508(C22⋊D11)⋊C4C2318yescomplemented
509(C22⋊D11)⋊C4C2318yescomplemented
510(C22⋊D11)⋊C4C2318yescomplemented
511(C22⋊D11)⋊C4C2318yescomplemented
512(C22⋊D11)⋊C4C2318yescomplemented
513C22⋊C4×D11C2318yes—
514C22⋊C4×D11C2318yes—
515C22⋊C4×D11C2318yescomplemented
516C22⋊C4×D11C2318yescomplemented
517#66932C2318yescomplemented
518#66932C2318yescomplemented
519#66932C2318yescomplemented
520#66932C2318yescomplemented
521#66931C2318yescomplemented
522#66931C2318yescomplemented
523#66931C2318yescomplemented
524#66931C2318yescomplemented
525#66931C2318yescomplemented
526#66930C2318yescomplemented
527#66929C2318yescomplemented
528#66928C2318yes—
529C4×D44C2318yescomplemented
530#66925C2318yescomplemented
531#66925C2318yescomplemented
532#66925C2318yescomplemented
533#66923C2318yescomplemented
534#66923C2318yescomplemented
535C2×#3533—111nomaximal, Sylow
536C24×C11C2411yescharacteristic
537C24×C11C2411yescharacteristic
538C24×C11C2411yescharacteristic
539C24×C11C2411yescharacteristic
540C24×C11C2411yescharacteristic
541C23×D11—24no—
542C23×D11—24no—
543C23×D11—42no—
544C23×D11—42no—
545C23×D11—42no—
546C23×D11—42no—
547C23×D11—42no—
548C23×D11—42no—
549C23×D11—42no—
550C23×D11C2411yescharacteristic
551C23×D11C2411yescharacteristic
552C23×D11C2411yescharacteristic
553C23×D11C2411yescharacteristic
554C23×D11C2414yes—
555C23×D11C2414yes—
556C23×D11C2414yes—
557C2×D4×C11—42no—
558C2×D4×C11—42no—
559C2×D4×C11—42no—
560C2×D4×C11—42no—
561C2×D4×C11—42no—
562C2×D4×C11—42no—
563C2×D4×C11—42no—
564C2×D4×C11—42no—
565C2×D4×C11—42no—
566C2×D4×C11—42no—
567C2×D4×C11C2414yes—
568C2×D4×C11C2414yes—
569C2×D4×C11C2414yes—
570C2×D4×C11C2414yes—
571C2×D4×C11C2414yes—
572C2×D4×C11C2414yes—
573C2×D4×C11C2414yes—
574C2×D4×C11C2414yes—
575C2×D4×C11C2414yes—
576C2×D4×C11C2414yes—
577C22×C4×C11—42no—
578C22×C4×C11—42no—
579C22×C4×C11—42no—
580C22×C4×C11—42no—
581C22×C4×C11—42no—
582C22×C4×C11C2411yescharacteristic
583C22×C4×C11C2411yescharacteristic
584C22×C4×C11C2411yescharacteristic
585C22×C4×C11C2411yescharacteristic
586C22×C4×C11C2411yescharacteristic
587C22×C4×C11C2411yescharacteristic
588C22×C4×C11C2411yescharacteristic
589C22×C4×C11C2411yescharacteristic
590C22×C4×C11C2411yescharacteristic
591C22×C4×C11C2411yescharacteristic
592C22×C4×C11C2414yes—
593C22×C4×C11C2414yes—
594C22×C4×C11C2414yes—
595C22×C4×C11C2414yes—
596C22×C4×C11C2414yes—
597C2×C22⋊D11—24no—
598C2×C22⋊D11—24no—
599C2×C22⋊D11—24no—
600C2×C22⋊D11—42no—
601C2×C22⋊D11—42no—
602C2×C22⋊D11—42no—
603C2×C22⋊D11—42no—
604C2×C22⋊D11—42no—
605C2×C22⋊D11—42no—
606C2×C22⋊D11—42no—
607C2×C22⋊D11—42no—
608C2×C22⋊D11—42no—
609C2×C22⋊D11—42no—
610C2×C22⋊D11—42no—
611C2×C22⋊D11C2414yes—
612C2×C22⋊D11C2414yes—
613C2×C22⋊D11C2414yes—
614C2×C22⋊D11C2414yes—
615C2×C22⋊D11C2414yes—
616C2×C22⋊D11C2414yes—
617C2×C22⋊D11C2414yes—
618C2×C22⋊D11C2414yes—
619C2×C22⋊D11C2414yes—
620C2×C22⋊D11C2414yes—
621C2×C22⋊D11C2414yes—
622C2×C22⋊D11C2414yes—
623C2×C22⋊D11C2414yes—
624C2×C22⋊D11C2414yes—
625C22×Dic11—42no—
626C22×Dic11—42no—
627C22×Dic11—42no—
628C22×Dic11—42no—
629C22×Dic11—42no—
630C22×Dic11—42no—
631C22×Dic11—42no—
632C22×Dic11C2411yescharacteristic
633C22×Dic11C2411yescharacteristic
634C22×Dic11C2411yescharacteristic
635C22×Dic11C2411yescharacteristic
636C22×Dic11C2411yescharacteristic
637C22×Dic11C2411yescharacteristic
638C22×Dic11C2411yescharacteristic
639C22×Dic11C2411yescharacteristic
640C22×Dic11C2411yescharacteristic
641C22×Dic11C2411yescharacteristic
642C22×Dic11C2411yescharacteristic
643C22×Dic11C2411yescharacteristic
644C22×Dic11C2414yes—
645C22×Dic11C2414yes—
646C22×Dic11C2414yes—
647C22×Dic11C2414yes—
648C22×Dic11C2414yes—
649C22×Dic11C2414yes—
650C22×Dic11C2414yes—
651#4341—416no—
652#4341—416no—
653D4×D11—416no—
654D4×D11—416no—
655#4339—416no—
656C2×D44—24no—
657C2×D44—42no—
658C2×D44—42no—
659C2×D44C2414yes—
660C2×D44C2414yes—
661C2×D44C2414yes—
662C2×C4×D11—24no—
663C2×C4×D11—24no—
664C2×C4×D11—24no—
665C2×C4×D11—42no—
666C2×C4×D11—42no—
667C2×C4×D11—42no—
668C2×C4×D11—42no—
669C2×C4×D11—42no—
670C2×C4×D11—42no—
671C2×C4×D11—42no—
672C2×C4×D11—416no—
673C2×C4×D11C2414yes—
674C2×C4×D11C2414yes—
675C2×C4×D11C2414yes—
676C2×C4×D11C2414yes—
677C2×C4×D11C2414yes—
678C2×C4×D11C2414yes—
679C2×C4×D11C2414yes—
680C2×C4×D11C2414yes—
681C2×C4×D11C2414yes—
682C2×C4×D11C2414yes—
683C2×Dic22—42no—
684C2×Dic22—42no—
685C2×Dic22—42no—
686C2×Dic22—42no—
687C2×Dic22—42no—
688C2×Dic22C2414yes—
689C2×Dic22C2414yes—
690C2×Dic22C2414yes—
691C2×Dic22C2414yes—
692C2×Dic22C2414yes—
693C11×C4⋊C4C2414yes—
694C11×C4⋊C4C2414yes—
695C11×C4⋊C4C2414yes—
696C11×C4⋊C4C2414yes—
697C11×C4⋊C4C2414yes—
698C11×C4⋊C4C2414yes—
699C11×C4⋊C4C2414yes—
700C11×C4⋊C4C2414yes—
701C11×C22⋊C4C2414yes—
702C11×C22⋊C4C2414yes—
703C11×C22⋊C4C2414yes—
704C11×C22⋊C4C2414yes—
705C11×C22⋊C4C2414yes—
706C11×C22⋊C4C2414yes—
707C11×C22⋊C4C2414yes—
708C11×C22⋊C4C2414yes—
709C11×C22⋊C4C2414yes—
710C11×C22⋊C4C2414yes—
711C42×C11C2414yes—
712C42×C11C2414yes—
713C22⋊Dic11C2414yes—
714C22⋊Dic11C2414yes—
715C22⋊Dic11C2414yes—
716C22⋊Dic11C2414yes—
717C22⋊Dic11C2414yes—
718C22⋊Dic11C2414yes—
719C22⋊Dic11C2414yes—
720C22⋊Dic11C2414yes—
721C22⋊Dic11C2414yes—
722C22⋊Dic11C2414yes—
723C22⋊Dic11C2414yes—
724C22⋊Dic11C2414yes—
725C22⋊Dic11C2414yes—
726C22⋊Dic11C2414yes—
727C22⋊Dic11C2414yes—
728C22⋊Dic11C2414yes—
729(C2×D11)⋊C4C2414yes—
730(C2×D11)⋊C4C2414yes—
731(C2×D11)⋊C4C2414yes—
732(C2×D11)⋊C4C2414yes—
733(C2×D11)⋊C4C2414yes—
734(C2×D11)⋊C4C2414yes—
735(C2×D11)⋊C4C2414yes—
736(C2×D11)⋊C4C2414yes—
737(C2×D11)⋊C4C2414yes—
738(C2×D11)⋊C4C2414yes—
739(C2×D11)⋊C4C2414yes—
740(C2×D11)⋊C4C2414yes—
741(C2×D11)⋊C4C2414yes—
742(C2×D11)⋊C4C2414yes—
743(C2×D11)⋊C4C2414yes—
744(C2×D11)⋊C4C2414yes—
745(C2×D11)⋊C4C2414yes—
746(C2×D11)⋊C4C2414yes—
747(C2×D11)⋊C4C2414yes—
748(C2×D11)⋊C4C2414yes—
749(C2×D11)⋊C4C2414yes—
750(C2×D11)⋊C4C2414yes—
751(C2×D11)⋊C4C2414yes—
752(C2×D11)⋊C4C2414yes—
753C4⋊Dic11C2414yes—
754C4⋊Dic11C2414yes—
755C4⋊Dic11C2414yes—
756C4⋊Dic11C2414yes—
757C4⋊Dic11C2414yes—
758C4⋊Dic11C2414yes—
759C4⋊Dic11C2414yes—
760C4⋊Dic11C2414yes—
761C4⋊Dic11C2414yes—
762C4⋊Dic11C2414yes—
763Dic11⋊C4C2414yes—
764Dic11⋊C4C2414yes—
765Dic11⋊C4C2414yes—
766Dic11⋊C4C2414yes—
767Dic11⋊C4C2414yes—
768Dic11⋊C4C2414yes—
769Dic11⋊C4C2414yes—
770Dic11⋊C4C2414yes—
771Dic11⋊C4C2414yes—
772Dic11⋊C4C2414yes—
773Dic11⋊C4C2414yes—
774Dic11⋊C4C2414yes—
775Dic11⋊C4C2414yes—
776Dic11⋊C4C2414yes—
777Dic11⋊C4C2414yes—
778Dic11⋊C4C2414yes—
779Dic11⋊C4C2414yes—
780Dic11⋊C4C2414yes—
781Dic11⋊C4C2414yes—
782Dic11⋊C4C2414yes—
783C4×Dic11C2414yes—
784C4×Dic11C2414yes—
785C4×Dic11C2414yes—
786C4×Dic11C2414yes—
787C4×Dic11C2414yes—
788C4×Dic11C2414yes—
789C4×Dic11C2414yes—
790C4×Dic11C2414yes—
791#3533—1132no—
792C2×#563—111no—
793C2×#562—111no—
794C2×#562—111no—
795C2×#560—111no—
796C2×#559—111no—
797C2×#553—111no—
798C2×#553—111no—
799C2×#552—111no—
800C2×#552—111no—
801C2×#551—111no—
802C2×#551—111no—
803C2×#551—111no—
804C2×#547—111no—
805C2×#547—111no—
806C2×#546—111no—
807C2×#546—111no—
808C2×#542—111no—
809C2×#542—111no—
810C2×#540—111no—
811C2×#540D1111yescharacteristic, complemented
812C2×#539—111no—
813C2×#539—111no—
814C2×#538—111no—
815C2×#538—111no—
816C2×#538—111no—
817C2×#538—111no—
818C2×#535—111no—
819C2×#534—111no—
820C2×#525—111no—
821C2×#525—111no—
822C22×#123—111no—
823C23×C11—22no—
824C23×C11—22no—
825C23×C11—22no—
826C23×C11—22no—
827C23×C11—22no—
828C23×C11—22no—
829C23×C11—22no—
830C23×C11—22no—
831C23×C11—22no—
832C23×C11—22no—
833C23×C11—22no—
834C23×C11—22no—
835C23×C11—22no—
836C23×C11—22no—
837C23×C11—22no—
838C23×C11C2512yes—
839C23×C11C2512yes—
840C23×C11C2512yes—
841C23×C11C2512yes—
842C23×C11C2512yes—
843C23×C11C2511yescharacteristic
844C22×D11—22no—
845C22×D11—22no—
846C22×D11—22no—
847C22×D11—22no—
848C22×D11—22no—
849C22×D11—22no—
850C22×D11—22no—
851C22×D11—22no—
852C22×D11—22no—
853C22×D11—22no—
854C22×D11—22no—
855C22×D11—28no—
856C22×D11—28no—
857C22×D11—44no—
858C22×D11—44no—
859C22×D11—44no—
860C22×D11—44no—
861C22×D11—44no—
862C22×D11—44no—
863C22×D11—44no—
864C22×D11—416no—
865C22×D11—88no—
866C22×D11—88no—
867C22×D11H(5,𝔽2)14yes—
868C22×D11C2512yes—
869C22×D11C2512yes—
870C22×D11C2512yes—
871C22×D11C2512yes—
872D4×C11—44no—
873D4×C11—44no—
874D4×C11—44no—
875D4×C11—44no—
876D4×C11—44no—
877D4×C11—44no—
878D4×C11—44no—
879D4×C11—44no—
880D4×C11—44no—
881D4×C11—44no—
882C2×C4×C11—22no—
883C2×C4×C11—22no—
884C2×C4×C11—22no—
885C2×C4×C11—22no—
886C2×C4×C11—22no—
887C2×C4×C11—22no—
888C2×C4×C11—22no—
889C2×C4×C11—22no—
890C2×C4×C11—22no—
891C2×C4×C11—22no—
892C2×C4×C11—44no—
893C2×C4×C11—44no—
894C2×C4×C11—44no—
895C2×C4×C11—44no—
896C2×C4×C11—44no—
897C2×C4×C11C2512yes—
898C2×C4×C11C2512yes—
899C2×C4×C11C2512yes—
900C2×C4×C11C2512yes—
901C2×C4×C11C2512yes—
902C2×C4×C11C2512yes—
903C2×C4×C11C2512yes—
904C2×C4×C11C2512yes—
905C2×C4×C11C2512yes—
906C2×C4×C11C2512yes—
907C22⋊D11—28no—
908C22⋊D11—28no—
909C22⋊D11—28no—
910C22⋊D11—44no—
911C22⋊D11—44no—
912C22⋊D11—44no—
913C22⋊D11—44no—
914C22⋊D11—44no—
915C22⋊D11—44no—
916C22⋊D11—44no—
917C22⋊D11—44no—
918C22⋊D11—44no—
919C22⋊D11—44no—
920C22⋊D11—44no—
921C2×Dic11—22no—
922C2×Dic11—22no—
923C2×Dic11—22no—
924C2×Dic11—22no—
925C2×Dic11—22no—
926C2×Dic11—22no—
927C2×Dic11—22no—
928C2×Dic11—22no—
929C2×Dic11—22no—
930C2×Dic11—22no—
931C2×Dic11—22no—
932C2×Dic11—22no—
933C2×Dic11—44no—
934C2×Dic11—44no—
935C2×Dic11—44no—
936C2×Dic11—44no—
937C2×Dic11—44no—
938C2×Dic11—44no—
939C2×Dic11—44no—
940C2×Dic11C2512yes—
941C2×Dic11C2512yes—
942C2×Dic11C2512yes—
943C2×Dic11C2512yes—
944C2×Dic11C2512yes—
945C2×Dic11C2512yes—
946C2×Dic11C2512yes—
947C2×Dic11C2512yes—
948C2×Dic11C2512yes—
949C2×Dic11C2512yes—
950C2×Dic11C2512yes—
951C2×Dic11C2512yes—
952D44—28no—
953D44—44no—
954D44—44no—
955C4×D11—28no—
956C4×D11—28no—
957C4×D11—28no—
958C4×D11—44no—
959C4×D11—44no—
960C4×D11—44no—
961C4×D11—44no—
962C4×D11—44no—
963C4×D11—44no—
964C4×D11—44no—
965Dic22—44no—
966Dic22—44no—
967Dic22—44no—
968Dic22—44no—
969Dic22—44no—
970C22×#41—111no—
971C22×#41—111no—
972C22×#41—111no—
973C23×D4—111no—
974C23×D4—111no—
975C24×C4—111no—
976#563—1116no—
977#562—1116no—
978#562—1116no—
979#560—1116no—
980#559—1116no—
981#553—1116no—
982#553—1116no—
983#552—1116no—
984#552—1116no—
985#551—1116no—
986#551—1116no—
987#551—1116no—
988#547—1116no—
989#547—1116no—
990#546—1116no—
991#546—1116no—
992#542—1116no—
993#542—1116no—
994#540—1116no—
995#540C2×D11116yescomplemented
996#539—1116no—
997#539—1116no—
998#538—1116no—
999#538—1116no—
1000#538—1116no—
1001#538—1116no—
1002#535—1116no—
1003#534—1116no—
1004C2×C4⋊Q8—111no—
1005C2×C4⋊Q8—111no—
1006C2×#127—111no—
1007C2×#127C2×D1111yescharacteristic, complemented
1008C2×#126—111no—
1009C2×#126—111no—
1010C2×#126—111no—
1011C2×#126—111no—
1012C2×#126—111no—
1013C2×#126—111no—
1014C2×#126—111no—
1015C2×#126—111no—
1016C2×#126—111no—
1017C2×#126—111no—
1018C2×#126—111no—
1019C2×#126—111no—
1020C2×#125—111no—
1021C2×#125—111no—
1022C2×#125—111no—
1023C2×#125—111no—
1024C2×#125—111no—
1025C2×#125C2×D1111yescharacteristic, complemented
1026C2×#124—111no—
1027C2×#124—111no—
1028C2×#124—111no—
1029C2×#124—111no—
1030C2×#124—111no—
1031C2×#124—111no—
1032C2×#124—111no—
1033C2×#124—111no—
1034C2×#124—111no—
1035C2×#124—111no—
1036#525—1116no—
1037#525—1116no—
1038C2×#123—111no—
1039C2×#123—111no—
1040C2×#123—111no—
1041C2×#123—111no—
1042C2×#123—111no—
1043C2×#123—111no—
1044C2×#123—111no—
1045C2×#123—111no—
1046C2×#123—111no—
1047C2×#123—1116no—
1048C2×#123—111no—
1049C2×#123—111no—
1050C2×#123—111no—
1051C2×#123—111no—
1052C2×#123—111no—
1053C2×#123—111no—
1054C2×#123—111no—
1055C2×#123—111no—
1056C2×#123—111no—
1057C2×#123—111no—
1058C2×#123—111no—
1059C2×#123—111no—
1060C2×#123—111no—
1061C2×#123—111no—
1062C2×#123—111no—
1063C2×#123—111no—
1064C2×#123—111no—
1065C2×#123C2×D1111yescharacteristic, complemented
1066C2×#123C2×D1111yescharacteristic, complemented
1067C2×#123C2×D1111yescharacteristic, complemented
1068C2×#123C2×D1111yescharacteristic, complemented
1069C2×C22⋊Q8—111no—
1070C2×C22⋊Q8—111no—
1071C2×C22⋊Q8—111no—
1072C2×C22⋊Q8—111no—
1073C2×C22⋊Q8—111no—
1074C2×C22⋊Q8—111no—
1075C2×C22⋊Q8—111no—
1076C2×C22⋊Q8—111no—
1077C2×C22⋊Q8—111no—
1078C2×C22⋊Q8—111no—
1079C2×C22⋊Q8—111no—
1080C2×C22⋊Q8—111no—
1081C2×C22⋊Q8—111no—
1082C2×C22⋊Q8—111no—
1083C2×C22⋊Q8—111no—
1084C2×C22⋊Q8—111no—
1085C2×#121—111no—
1086C2×#121—111no—
1087C2×#121—111no—
1088C2×#121—111no—
1089C2×#121—111no—
1090C2×#121—111no—
1091C2×#121—111no—
1092C2×#121—111no—
1093C2×#121—111no—
1094C2×#121—111no—
1095C2×#121—111no—
1096C2×#121—111no—
1097C2×#121—111no—
1098C2×#121—111no—
1099C2×#121—111no—
1100C2×#121—111no—
1101C2×#121—111no—
1102C2×#121—111no—
1103C2×#121C2×D1111yescharacteristic
1104C2×#121C2×D1111yescharacteristic, complemented
1105C2×#121C2×D1111yescharacteristic, complemented
1106C2×#121C2×D1111yescharacteristic, complemented
1107C2×#121C2×D1111yescharacteristic, complemented
1108C2×#121C2×D1111yescharacteristic, complemented
1109C2×#120—111no—
1110C2×#120—111no—
1111C2×#120—111no—
1112C2×#120—111no—
1113C2×#120—111no—
1114C2×#120—111no—
1115C2×#120—111no—
1116C2×#120—111no—
1117C2×#120—111no—
1118C2×#120—111no—
1119C2×C4×Q8—111no—
1120C2×C4×Q8—111no—
1121C2×C4×D4—111no—
1122C2×C4×D4—111no—
1123C2×C4×D4—111no—
1124C2×C4×D4—111no—
1125C2×C4×D4—111no—
1126C2×C4×D4—111no—
1127C2×C4×D4—111no—
1128C2×C4×D4—111no—
1129C2×C4×D4—111no—
1130C2×C4×D4—111no—
1131C2×C4×D4—111no—
1132C2×C4×D4—111no—
1133C2×C4×D4—111no—
1134C2×C4×D4—111no—
1135C2×C4×D4—111no—
1136C2×C4×D4—111no—
1137C2×C4×D4C2×D1111yescharacteristic, complemented
1138C2×C4×D4C2×D1111yescharacteristic, complemented
1139C2×#117—111no—
1140C2×#117—111no—
1141C2×#117—111no—
1142C2×#117—111no—
1143C2×#117—111no—
1144C2×#117—111no—
1145C2×#117C2×D1111yescharacteristic, complemented
1146C22×C4⋊C4—111no—
1147C22×C4⋊C4—111no—
1148C22×C4⋊C4—111no—
1149C22×C4⋊C4—111no—
1150C22×C22⋊C4—111no—
1151C22×C22⋊C4—111no—
1152C22×C22⋊C4—111no—
1153C22×C22⋊C4—111no—
1154C22×C22⋊C4—111no—
1155C22×C22⋊C4—111no—
1156C22×C11—22no—
1157C22×C11—22no—
1158C22×C11—22no—
1159C22×C11—22no—
1160C22×C11—22no—
1161C22×C11—22no—
1162C22×C11—22no—
1163C22×C11—22no—
1164C22×C11—22no—
1165C22×C11—22no—
1166C22×C11—22no—
1167C22×C11—22no—
1168C22×C11—22no—
1169C22×C11—22no—
1170C22×C11—22no—
1171C22×C11—44no—
1172C22×C11—44no—
1173C22×C11—44no—
1174C22×C11—44no—
1175C22×C11—44no—
1176C22×C11C2×H(5,𝔽2)12yes—
1177C22×C11#58512yes—
1178C22×C11#58512yes—
1179C22×C11C2611yescharacteristic
1180C2×D11—22no—
1181C2×D11—22no—
1182C2×D11—28no—
1183C2×D11—22no—
1184C2×D11—22no—
1185C2×D11—22no—
1186C2×D11—22no—
1187C2×D11—22no—
1188C2×D11—22no—
1189C2×D11—22no—
1190C2×D11—22no—
1191C2×D11—22no—
1192C2×D11—416no—
1193C2×D11—44no—
1194C2×D11—44no—
1195C2×D11—44no—
1196C2×D11—88no—
1197C2×D11—88no—
1198C2×D11C2×H(5,𝔽2)14yes—
1199C4×C11—22no—
1200C4×C11—22no—
1201C4×C11—22no—
1202C4×C11—22no—
1203C4×C11—22no—
1204C4×C11—22no—
1205C4×C11—22no—
1206C4×C11—22no—
1207C4×C11—22no—
1208C4×C11—22no—
1209Dic11—22no—
1210Dic11—22no—
1211Dic11—22no—
1212Dic11—22no—
1213Dic11—22no—
1214Dic11—22no—
1215Dic11—22no—
1216Dic11—22no—
1217Dic11—22no—
1218Dic11—22no—
1219Dic11—22no—
1220Dic11—22no—
1221C25—111no—
1222C25—111no—
1223C25—111no—
1224C2×#41—118no—
1225C2×#41—118no—
1226C2×#41—118no—
1227C2×#41—444no—
1228C2×#41—444no—
1229C2×#41—444no—
1230C22×Q8—111no—
1231C22×Q8—111no—
1232C22×Q8—111no—
1233C22×Q8—111no—
1234C22×Q8—111no—
1235C22×D4—111no—
1236C22×D4—111no—
1237C22×D4—111no—
1238C22×D4—111no—
1239C22×D4—111no—
1240C22×D4—111no—
1241C22×D4—111no—
1242C22×D4—111no—
1243C22×D4—111no—
1244C22×D4—111no—
1245C22×D4—111no—
1246C22×D4—111no—
1247C22×D4—111no—
1248C22×D4—111no—
1249C22×D4—118no—
1250C22×D4—118no—
1251C22×D4—111no—
1252C22×D4—111no—
1253C22×D4—111no—
1254C22×D4—444no—
1255C22×D4—444no—
1256C22×D4C22×D1111yescharacteristic
1257C22×D4C22×D1111yescharacteristic
1258C22×D4C22×D1111yescharacteristic
1259C22×D4C22×D1111yescharacteristic
1260C22×D4C22×D1111yescharacteristic
1261C22×D4C22×D1111yescharacteristic
1262C22×D4C22×D1111yescharacteristic
1263C22×D4C22×D1111yescharacteristic
1264C22×D4C22×D1111yescharacteristic
1265C22×D4C22×D1111yescharacteristic
1266C23×C4—111no—
1267C23×C4—111no—
1268C23×C4—111no—
1269C23×C4—111no—
1270C23×C4—111no—
1271C23×C4—111no—
1272C23×C4—111no—
1273C23×C4—111no—
1274C23×C4—111no—
1275C23×C4—111no—
1276C23×C4—111no—
1277C23×C4—111no—
1278C23×C4—111no—
1279C23×C4—111no—
1280C23×C4—111no—
1281C23×C4—111no—
1282C23×C4—111no—
1283C23×C4—118no—
1284C23×C4—444no—
1285C23×C4C22×D1111yescharacteristic
1286C23×C4C22×D1111yescharacteristic
1287C23×C4C22×D1111yescharacteristic
1288C23×C4C22×D1111yescharacteristic
1289C23×C4C22×D1111yescharacteristic
1290C4⋊Q8—118no—
1291C4⋊Q8—118no—
1292#127—118no—
1293#127C22×D1118yescomplemented
1294#126—118no—
1295#126—118no—
1296#126—118no—
1297#126—118no—
1298#126—118no—
1299#126—118no—
1300#126—118no—
1301#126—118no—
1302#126—118no—
1303#126—118no—
1304#126—118no—
1305#126—118no—
1306#125—118no—
1307#125—118no—
1308#125—118no—
1309#125—118no—
1310#125—118no—
1311#125C22×D1118yescomplemented
1312#124—118no—
1313#124—118no—
1314#124—118no—
1315#124—118no—
1316#124—118no—
1317#124—118no—
1318#124—118no—
1319#124—118no—
1320#124—118no—
1321#124—118no—
1322#123—118no—
1323#123—118no—
1324#123—118no—
1325#123—118no—
1326#123—118no—
1327#123—118no—
1328#123—118no—
1329#123—118no—
1330#123—118no—
1331#123—118no—
1332#123—118no—
1333#123—118no—
1334#123—118no—
1335#123—118no—
1336#123—118no—
1337#123—118no—
1338#123—118no—
1339#123—118no—
1340#123—118no—
1341#123—118no—
1342#123—118no—
1343#123—118no—
1344#123—118no—
1345#123—118no—
1346#123—118no—
1347#123—118no—
1348#123C22×D1118yescomplemented
1349#123C22×D1118yescomplemented
1350#123C22×D1118yescomplemented
1351#123C22×D1118yescomplemented
1352C22⋊Q8—118no—
1353C22⋊Q8—118no—
1354C22⋊Q8—118no—
1355C22⋊Q8—118no—
1356C22⋊Q8—118no—
1357C22⋊Q8—118no—
1358C22⋊Q8—118no—
1359C22⋊Q8—118no—
1360C22⋊Q8—118no—
1361C22⋊Q8—118no—
1362C22⋊Q8—118no—
1363C22⋊Q8—118no—
1364C22⋊Q8—118no—
1365C22⋊Q8—118no—
1366C22⋊Q8—118no—
1367C22⋊Q8—118no—
1368#121—118no—
1369#121—118no—
1370#121—118no—
1371#121—118no—
1372#121—118no—
1373#121—118no—
1374#121—118no—
1375#121—118no—
1376#121—118no—
1377#121—118no—
1378#121—118no—
1379#121—118no—
1380#121—118no—
1381#121—118no—
1382#121—118no—
1383#121—118no—
1384#121—118no—
1385#121—118no—
1386#121C22×D1118yes—
1387#121C22×D1118yescomplemented
1388#121C22×D1118yescomplemented
1389#121C22×D1118yescomplemented
1390#121C22×D1118yescomplemented
1391#121C22×D1118yescomplemented
1392#120—118no—
1393#120—118no—
1394#120—118no—
1395#120—118no—
1396#120—118no—
1397#120—118no—
1398#120—118no—
1399#120—118no—
1400#120—118no—
1401#120—118no—
1402C4×Q8—118no—
1403C4×Q8—118no—
1404C4×D4—118no—
1405C4×D4—118no—
1406C4×D4—118no—
1407C4×D4—118no—
1408C4×D4—118no—
1409C4×D4—118no—
1410C4×D4—118no—
1411C4×D4—118no—
1412C4×D4—118no—
1413C4×D4—118no—
1414C4×D4—118no—
1415C4×D4—118no—
1416C4×D4—118no—
1417C4×D4—118no—
1418C4×D4—118no—
1419C4×D4—118no—
1420C4×D4C22×D1118yescomplemented
1421C4×D4C22×D1118yescomplemented
1422#117—118no—
1423#117—118no—
1424#117—118no—
1425#117—118no—
1426#117—118no—
1427#117—118no—
1428#117C22×D1118yescomplemented
1429C2×C4⋊C4—111no—
1430C2×C4⋊C4—111no—
1431C2×C4⋊C4—111no—
1432C2×C4⋊C4—111no—
1433C2×C4⋊C4—111no—
1434C2×C4⋊C4—111no—
1435C2×C4⋊C4—111no—
1436C2×C4⋊C4—111no—
1437C2×C4⋊C4—111no—
1438C2×C4⋊C4—111no—
1439C2×C4⋊C4—111no—
1440C2×C4⋊C4—111no—
1441C2×C4⋊C4—118no—
1442C2×C4⋊C4—118no—
1443C2×C4⋊C4—111no—
1444C2×C4⋊C4—111no—
1445C2×C4⋊C4—111no—
1446C2×C4⋊C4—111no—
1447C2×C4⋊C4—111no—
1448C2×C4⋊C4—111no—
1449C2×C4⋊C4—111no—
1450C2×C4⋊C4—111no—
1451C2×C4⋊C4—111no—
1452C2×C4⋊C4—111no—
1453C2×C4⋊C4—111no—
1454C2×C4⋊C4—111no—
1455C2×C4⋊C4—111no—
1456C2×C4⋊C4—111no—
1457C2×C4⋊C4—111no—
1458C2×C4⋊C4—111no—
1459C2×C4⋊C4—111no—
1460C2×C4⋊C4—111no—
1461C2×C4⋊C4—118no—
1462C2×C4⋊C4—118no—
1463C2×C4⋊C4C22×D1111yescharacteristic
1464C2×C4⋊C4C22×D1111yescharacteristic
1465C2×C4⋊C4C22×D1111yescharacteristic
1466C2×C4⋊C4C22×D1111yescharacteristic
1467C2×C4⋊C4C22×D1111yescharacteristic
1468C2×C4⋊C4C22×D1111yescharacteristic
1469C2×C4⋊C4C22×D1111yescharacteristic
1470C2×C4⋊C4C22×D1111yescharacteristic
1471C2×C22⋊C4—111no—
1472C2×C22⋊C4—111no—
1473C2×C22⋊C4—111no—
1474C2×C22⋊C4—111no—
1475C2×C22⋊C4—111no—
1476C2×C22⋊C4—111no—
1477C2×C22⋊C4—111no—
1478C2×C22⋊C4—111no—
1479C2×C22⋊C4—111no—
1480C2×C22⋊C4—111no—
1481C2×C22⋊C4—111no—
1482C2×C22⋊C4—111no—
1483C2×C22⋊C4—111no—
1484C2×C22⋊C4—111no—
1485C2×C22⋊C4—111no—
1486C2×C22⋊C4—111no—
1487C2×C22⋊C4—111no—
1488C2×C22⋊C4—111no—
1489C2×C22⋊C4—111no—
1490C2×C22⋊C4—111no—
1491C2×C22⋊C4—111no—
1492C2×C22⋊C4—111no—
1493C2×C22⋊C4—111no—
1494C2×C22⋊C4—111no—
1495C2×C22⋊C4—111no—
1496C2×C22⋊C4—111no—
1497C2×C22⋊C4—111no—
1498C2×C22⋊C4—111no—
1499C2×C22⋊C4—111no—
1500C2×C22⋊C4—111no—
1501C2×C22⋊C4—118no—
1502C2×C22⋊C4—118no—
1503C2×C22⋊C4—111no—
1504C2×C22⋊C4—111no—
1505C2×C22⋊C4—111no—
1506C2×C22⋊C4—111no—
1507C2×C22⋊C4—111no—
1508C2×C22⋊C4—111no—
1509C2×C22⋊C4—111no—
1510C2×C22⋊C4—111no—
1511C2×C22⋊C4—111no—
1512C2×C22⋊C4—111no—
1513C2×C22⋊C4—118no—
1514C2×C22⋊C4—118no—
1515C2×C22⋊C4—118no—
1516C2×C22⋊C4—118no—
1517C2×C22⋊C4C22×D1111yescharacteristic
1518C2×C22⋊C4C22×D1111yescharacteristic
1519C2×C22⋊C4C22×D1111yescharacteristic
1520C2×C22⋊C4C22×D1111yescharacteristic
1521C2×C22⋊C4C22×D1111yescharacteristic
1522C2×C22⋊C4C22×D1111yescharacteristic
1523C2×C22⋊C4C22×D1111yescharacteristic
1524C2×C22⋊C4C22×D1111yescharacteristic
1525C2×C22⋊C4C22×D1111yescharacteristic
1526C2×C22⋊C4C22×D1111yescharacteristic
1527C2×C42—111no—
1528C2×C42—111no—
1529C2×C42—111no—
1530C2×C42—111no—
1531C2×C42—111no—
1532C2×C42—111no—
1533C2×C42—111no—
1534C2×C42—111no—
1535C2×C42C22×D1111yescharacteristic
1536C2×C42C22×D1111yescharacteristic
1537C2×C11—42no—
1538C2×C11—42no—
1539C2×C11—42no—
1540C2×C11—42no—
1541C2×C11—42no—
1542C2×C11#353314yescomplemented
1543C2×C11C22×H(5,𝔽2)11yescharacteristic
1544C2×C11C2×#58511yescharacteristic
1545C2×C11C2×#58511yescharacteristic
1546D11—24no—
1547D11—42no—
1548D11—42no—
1549D11—42no—
1550C24—111no—
1551C24—111no—
1552C24—111no—
1553C24—111no—
1554C24—114no—
1555C24—114no—
1556C24—114no—
1557C24—224no—
1558C24—224no—
1559C24—442no—
1560C24—442no—
1561C24—442no—
1562C24—442no—
1563C24—442no—
1564C24—442no—
1565C24—442no—
1566C24C23×D1111yescharacteristic
1567C24C23×D1111yescharacteristic
1568C24C23×D1111yescharacteristic
1569C24C23×D1111yescharacteristic
1570C24C23×D1111yescharacteristic
1571#41—4416no—
1572#41—4416no—
1573#41—4416no—
1574C2×Q8—114no—
1575C2×Q8—114no—
1576C2×Q8—114no—
1577C2×Q8—114no—
1578C2×Q8—114no—
1579C2×Q8—442no—
1580C2×Q8—442no—
1581C2×Q8—442no—
1582C2×Q8—442no—
1583C2×Q8—442no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—114no—
1595C2×D4—114no—
1596C2×D4—114no—
1597C2×D4—114no—
1598C2×D4—114no—
1599C2×D4—114no—
1600C2×D4—114no—
1601C2×D4—114no—
1602C2×D4—114no—
1603C2×D4—114no—
1604C2×D4—114no—
1605C2×D4—114no—
1606C2×D4—114no—
1607C2×D4—114no—
1608C2×D4—114no—
1609C2×D4—114no—
1610C2×D4—114no—
1611C2×D4—224no—
1612C2×D4—224no—
1613C2×D4—224no—
1614C2×D4—224no—
1615C2×D4—442no—
1616C2×D4—442no—
1617C2×D4—4416no—
1618C2×D4—442no—
1619C2×D4—442no—
1620C2×D4—442no—
1621C2×D4—442no—
1622C2×D4—442no—
1623C2×D4—442no—
1624C2×D4—442no—
1625C2×D4—442no—
1626C2×D4—442no—
1627C2×D4—442no—
1628C2×D4—442no—
1629C2×D4—4416no—
1630C2×D4C23×D1114yes—
1631C2×D4C23×D1114yes—
1632C2×D4C23×D1114yes—
1633C2×D4C23×D1114yes—
1634C2×D4C23×D1114yes—
1635C2×D4C23×D1114yes—
1636C2×D4C23×D1114yes—
1637C2×D4C23×D1114yes—
1638C2×D4C23×D1114yes—
1639C2×D4C23×D1114yes—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—111no—
1646C22×C4—111no—
1647C22×C4—111no—
1648C22×C4—111no—
1649C22×C4—111no—
1650C22×C4—111no—
1651C22×C4—111no—
1652C22×C4—111no—
1653C22×C4—111no—
1654C22×C4—111no—
1655C22×C4—111no—
1656C22×C4—111no—
1657C22×C4—114no—
1658C22×C4—114no—
1659C22×C4—114no—
1660C22×C4—114no—
1661C22×C4—114no—
1662C22×C4—114no—
1663C22×C4—114no—
1664C22×C4—114no—
1665C22×C4—114no—
1666C22×C4—114no—
1667C22×C4—114no—
1668C22×C4—114no—
1669C22×C4—114no—
1670C22×C4—114no—
1671C22×C4—114no—
1672C22×C4—114no—
1673C22×C4—114no—
1674C22×C4—224no—
1675C22×C4—224no—
1676C22×C4—224no—
1677C22×C4—442no—
1678C22×C4—442no—
1679C22×C4—442no—
1680C22×C4—442no—
1681C22×C4—442no—
1682C22×C4—442no—
1683C22×C4—442no—
1684C22×C4—4416no—
1685C22×C4—442no—
1686C22×C4—442no—
1687C22×C4—442no—
1688C22×C4—442no—
1689C22×C4—442no—
1690C22×C4—442no—
1691C22×C4—442no—
1692C22×C4C23×D1111yescharacteristic
1693C22×C4C23×D1111yescharacteristic
1694C22×C4C23×D1111yescharacteristic
1695C22×C4C23×D1111yescharacteristic
1696C22×C4C23×D1111yescharacteristic
1697C22×C4C23×D1111yescharacteristic
1698C22×C4C23×D1111yescharacteristic
1699C22×C4C23×D1111yescharacteristic
1700C22×C4C23×D1111yescharacteristic
1701C22×C4C23×D1111yescharacteristic
1702C22×C4C23×D1114yes—
1703C22×C4C23×D1114yes—
1704C22×C4C23×D1114yes—
1705C22×C4C23×D1114yes—
1706C22×C4C23×D1114yes—
1707C4⋊C4—114no—
1708C4⋊C4—114no—
1709C4⋊C4—114no—
1710C4⋊C4—114no—
1711C4⋊C4—114no—
1712C4⋊C4—114no—
1713C4⋊C4—114no—
1714C4⋊C4—114no—
1715C4⋊C4—114no—
1716C4⋊C4—114no—
1717C4⋊C4—114no—
1718C4⋊C4—114no—
1719C4⋊C4—114no—
1720C4⋊C4—114no—
1721C4⋊C4—114no—
1722C4⋊C4—114no—
1723C4⋊C4—114no—
1724C4⋊C4—114no—
1725C4⋊C4—114no—
1726C4⋊C4—114no—
1727C4⋊C4—114no—
1728C4⋊C4—114no—
1729C4⋊C4—114no—
1730C4⋊C4—114no—
1731C4⋊C4—114no—
1732C4⋊C4—114no—
1733C4⋊C4—114no—
1734C4⋊C4—114no—
1735C4⋊C4—114no—
1736C4⋊C4—114no—
1737C4⋊C4C23×D1114yes—
1738C4⋊C4C23×D1114yes—
1739C4⋊C4C23×D1114yes—
1740C4⋊C4C23×D1114yes—
1741C4⋊C4C23×D1114yes—
1742C4⋊C4C23×D1114yes—
1743C4⋊C4C23×D1114yes—
1744C4⋊C4C23×D1114yes—
1745C22⋊C4—114no—
1746C22⋊C4—114no—
1747C22⋊C4—114no—
1748C22⋊C4—114no—
1749C22⋊C4—114no—
1750C22⋊C4—114no—
1751C22⋊C4—114no—
1752C22⋊C4—114no—
1753C22⋊C4—114no—
1754C22⋊C4—114no—
1755C22⋊C4—114no—
1756C22⋊C4—114no—
1757C22⋊C4—114no—
1758C22⋊C4—114no—
1759C22⋊C4—114no—
1760C22⋊C4—114no—
1761C22⋊C4—114no—
1762C22⋊C4—114no—
1763C22⋊C4—114no—
1764C22⋊C4—114no—
1765C22⋊C4—114no—
1766C22⋊C4—114no—
1767C22⋊C4—114no—
1768C22⋊C4—114no—
1769C22⋊C4—114no—
1770C22⋊C4—114no—
1771C22⋊C4—114no—
1772C22⋊C4—114no—
1773C22⋊C4—114no—
1774C22⋊C4—114no—
1775C22⋊C4—114no—
1776C22⋊C4—114no—
1777C22⋊C4—114no—
1778C22⋊C4—114no—
1779C22⋊C4—114no—
1780C22⋊C4—114no—
1781C22⋊C4—114no—
1782C22⋊C4—114no—
1783C22⋊C4—114no—
1784C22⋊C4—114no—
1785C22⋊C4C23×D1114yes—
1786C22⋊C4C23×D1114yes—
1787C22⋊C4C23×D1114yes—
1788C22⋊C4C23×D1114yes—
1789C22⋊C4C23×D1114yes—
1790C22⋊C4C23×D1114yes—
1791C22⋊C4C23×D1114yes—
1792C22⋊C4C23×D1114yes—
1793C22⋊C4C23×D1114yes—
1794C22⋊C4C23×D1114yes—
1795C42—114no—
1796C42—114no—
1797C42—114no—
1798C42—114no—
1799C42—114no—
1800C42—114no—
1801C42—114no—
1802C42—114no—
1803C42C23×D1114yes—
1804C42C23×D1114yes—
1805C11C2×#353311yescharacteristic, complemented, Sylow
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—114no—
1822C23—112no—
1823C23—112no—
1824C23—112no—
1825C23—112no—
1826C23—228no—
1827C23—228no—
1828C23—222no—
1829C23—222no—
1830C23—222no—
1831C23—222no—
1832C23—222no—
1833C23—222no—
1834C23—222no—
1835C23—222no—
1836C23—222no—
1837C23—222no—
1838C23—222no—
1839C23—444no—
1840C23—444no—
1841C23—444no—
1842C23—444no—
1843C23—444no—
1844C23—444no—
1845C23—444no—
1846C23—4416no—
1847C23—888no—
1848C23—888no—
1849C23C24×D1112yes—
1850C23C24×D1112yes—
1851C23C24×D1112yes—
1852C23C24×D1112yes—
1853C23C24×D1112yes—
1854C23C24×D1111yescharacteristic
1855Q8—444no—
1856Q8—444no—
1857Q8—444no—
1858Q8—444no—
1859Q8—444no—
1860D4—44no—
1861D4—44no—
1862D4—44no—
1863D4—44no—
1864D4—44no—
1865D4—44no—
1866D4—44no—
1867D4—44no—
1868D4—44no—
1869D4—44no—
1870D4—228no—
1871D4—228no—
1872D4—228no—
1873D4—228no—
1874D4—444no—
1875D4—444no—
1876D4—444no—
1877D4—444no—
1878D4—444no—
1879D4—444no—
1880D4—444no—
1881D4—444no—
1882D4—444no—
1883D4—444no—
1884D4—444no—
1885D4—444no—
1886D4—444no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—44no—
1898C2×C4—44no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—112no—
1903C2×C4—112no—
1904C2×C4—112no—
1905C2×C4—112no—
1906C2×C4—112no—
1907C2×C4—112no—
1908C2×C4—112no—
1909C2×C4—112no—
1910C2×C4—112no—
1911C2×C4—112no—
1912C2×C4—112no—
1913C2×C4—112no—
1914C2×C4—228no—
1915C2×C4—228no—
1916C2×C4—228no—
1917C2×C4—222no—
1918C2×C4—222no—
1919C2×C4—222no—
1920C2×C4—222no—
1921C2×C4—222no—
1922C2×C4—222no—
1923C2×C4—222no—
1924C2×C4—222no—
1925C2×C4—222no—
1926C2×C4—222no—
1927C2×C4—222no—
1928C2×C4—222no—
1929C2×C4—444no—
1930C2×C4—444no—
1931C2×C4—444no—
1932C2×C4—444no—
1933C2×C4—444no—
1934C2×C4—444no—
1935C2×C4—444no—
1936C2×C4—444no—
1937C2×C4—444no—
1938C2×C4—444no—
1939C2×C4—444no—
1940C2×C4—444no—
1941C2×C4—444no—
1942C2×C4—444no—
1943C2×C4C24×D1112yes—
1944C2×C4C24×D1112yes—
1945C2×C4C24×D1112yes—
1946C2×C4C24×D1112yes—
1947C2×C4C24×D1112yes—
1948C2×C4C24×D1112yes—
1949C2×C4C24×D1112yes—
1950C2×C4C24×D1112yes—
1951C2×C4C24×D1112yes—
1952C2×C4C24×D1112yes—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—22no—
1966C22—22no—
1967C22—22no—
1968C22—44no—
1969C22—44no—
1970C22—44no—
1971C22—44no—
1972C22—44no—
1973C22—114no—
1974C22—222no—
1975C22—222no—
1976C22—228no—
1977C22—222no—
1978C22—222no—
1979C22—222no—
1980C22—222no—
1981C22—222no—
1982C22—222no—
1983C22—222no—
1984C22—222no—
1985C22—222no—
1986C22—4416no—
1987C22—444no—
1988C22—444no—
1989C22—444no—
1990C22—888no—
1991C22—888no—
1992C22#1062345312yes—
1993C22D11×H(5,𝔽2)12yes—
1994C22#1062345512yes—
1995C22C25×D1111yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—222no—
2007C4—222no—
2008C4—222no—
2009C4—222no—
2010C4—222no—
2011C4—222no—
2012C4—222no—
2013C4—222no—
2014C4—222no—
2015C4—222no—
2016C4—222no—
2017C4—222no—
2018C2—42no—
2019C2—42no—
2020C2—42no—
2021C2—42no—
2022C2—42no—
2023C2—224no—
2024C2—442no—
2025C2—442no—
2026C2—442no—
2027C2#1308277614yesdirect product factor
2028C2C2×D11×H(5,𝔽2)11yescharacteristic
2029C2C2×#1062345511yescharacteristic
2030C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#540C2
socleC23×C11C25
hypercenterC2×#540D11
hypocenterC11C2×#3533
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#540

Complements

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

NH ≅ G/Ntype
1. #13082776C2direct (N × H)
2. C2×#10623230C2semidirect
3. C2×#10623198C2semidirect
4. C2×#10623152C2semidirect
5. C2×#10623151C2semidirect
6. C2×#10623195C2semidirect
7. C2×#10623096C2semidirect
8. C2×#10623132C2semidirect
9. C2×#10623060C2semidirect
10. C2×#10623224C2semidirect
11. C2×#10623087C2semidirect
12. C2×#10623058C2semidirect
13. C2×#10623189C2semidirect
14. C2×#10623142C2semidirect
15. C2×#10623186C2semidirect
16. C2×#10623143C2semidirect
17. C2×#10623141C2semidirect
18. C2×#10623193C2semidirect
19. C2×#10623134C2semidirect
20. C2×#10623250C2semidirect
21. C2×#10623196C2semidirect
22. C2×#10623095C2semidirect
23. C2×#10623148C2semidirect
24. C2×#10623188C2semidirect
25. C2×#10623144C2semidirect
26. C2×#10623144C2semidirect
27. C2×#10623246C2semidirect
28. C2×#10623136C2semidirect
29. C2×#10623137C2semidirect
30. C2×#10623078C2semidirect
31. C2×D11×#123C2semidirect
32. C2×C11×#540C2semidirect
34. C22×#4341C22semidirect
38. C23×C4×D11C22semidirect
39. C11×#540C22semidirect
40. C2×C11×#127C22semidirect
41. C2×C11×#125C22semidirect
42. C2×C11×#123C22semidirect
43. C2×C11×#123C22semidirect
44. C2×C11×#123C22semidirect
45. C2×C11×#123C22semidirect
47. C2×C11×#121C22semidirect
48. C2×C11×#121C22semidirect
49. C2×C11×#121C22semidirect
50. C2×C11×#121C22semidirect
51. C2×C11×#121C22semidirect
52. C2×C4×D4×C11C22semidirect
53. C2×C4×D4×C11C22semidirect
54. C2×C11×#117C22semidirect
60. C2×#66992C22semidirect
61. C2×#66992C22semidirect
62. C2×#66992C22semidirect
63. C2×#66992C22semidirect
64. C2×#66992C22semidirect
65. C2×#66992C22semidirect
67. C2×#66991C22semidirect
68. C2×#66991C22semidirect
69. C2×#66991C22semidirect
74. C2×#66990C22semidirect
75. C2×#66990C22semidirect
76. C2×#66990C22semidirect
77. C2×#66990C22semidirect
78. C2×#66989C22semidirect
79. C2×#66989C22semidirect
80. C2×#66989C22semidirect
81. C2×#66988C22semidirect
82. C2×#66988C22semidirect
83. C2×#66988C22semidirect
84. C2×#66988C22semidirect
85. C2×#66988C22semidirect
86. C2×#66988C22semidirect
87. C2×D4×Dic11C22semidirect
88. C2×D4×Dic11C22semidirect
89. C2×D4×Dic11C22semidirect
90. C2×D4×Dic11C22semidirect
92. C2×#66983C22semidirect
94. C2×#66982C22semidirect
95. C2×#66982C22semidirect
97. C2×C4×C22⋊D11C22semidirect
98. C2×C4×C22⋊D11C22semidirect
99. C2×C4×C22⋊D11C22semidirect
100. C2×C4×C22⋊D11C22semidirect
102. C22×(C2×D11)⋊C4C22semidirect
103. C2×#66979C22semidirect
104. C22×C4⋊Dic11C22semidirect
105. C2×#66977C22semidirect
106. C2×#66977C22semidirect
107. C2×#66977C22semidirect
108. C22×Dic11⋊C4C22semidirect
109. #10623250C22semidirect
110. #10623246C22semidirect
111. #10623230C22semidirect
112. #10623224C22semidirect
113. #10623198C22semidirect
114. #10623196C22semidirect
115. #10623195C22semidirect
116. #10623193C22semidirect
117. #10623189C22semidirect
118. #10623188C22semidirect
119. #10623186C22semidirect
120. D11×#123C22semidirect
121. #10623152C22semidirect
122. #10623151C22semidirect
123. #10623148C22semidirect
124. #10623144C22semidirect
125. #10623144C22semidirect
126. #10623143C22semidirect
127. #10623142C22semidirect
128. #10623141C22semidirect
129. #10623137C22semidirect
130. #10623136C22semidirect
131. #10623134C22semidirect
132. #10623132C22semidirect
133. #10623096C22semidirect
134. #10623095C22semidirect
135. #10623087C22semidirect
136. #10623078C22semidirect
137. #10623060C22semidirect
138. #10623058C22semidirect
139. C2×#66951C22semidirect
140. C2×#66951C22semidirect
141. C2×#66951C22semidirect
142. C2×#66951C22semidirect
143. C2×#66951C22semidirect
144. C2×#66951C22semidirect
145. C2×#66951C22semidirect
146. C2×#66950C22semidirect
147. C2×#66950C22semidirect
148. C2×#66950C22semidirect
149. C2×#66949C22semidirect
150. C2×#66949C22semidirect
151. C2×#66949C22semidirect
152. C2×#66949C22semidirect
153. C2×#66949C22semidirect
159. C2×#66947C22semidirect
161. C2×#66945C22semidirect
162. C2×C4⋊C4×D11C22semidirect
163. C2×C4⋊C4×D11C22semidirect
164. C2×#66943C22semidirect
165. C2×#66942C22semidirect
166. C2×#66942C22semidirect
167. C2×#66941C22semidirect
168. C2×#66941C22semidirect
169. C2×#66940C22semidirect
170. C2×#66940C22semidirect
172. C2×#66939C22semidirect
173. C2×#66939C22semidirect
174. C2×#66938C22semidirect
175. C2×#66938C22semidirect
176. C2×#66938C22semidirect
177. C2×#66938C22semidirect
178. C2×#66938C22semidirect
179. C2×#66938C22semidirect
181. C2×#66937C22semidirect
185. C2×#66936C22semidirect
186. C2×#66936C22semidirect
187. C2×#66936C22semidirect
188. C2×#66936C22semidirect
189. C2×#66936C22semidirect
192. C2×(C22⋊D11)⋊C4C22semidirect
193. C2×(C22⋊D11)⋊C4C22semidirect
194. C2×(C22⋊D11)⋊C4C22semidirect
195. C2×(C22⋊D11)⋊C4C22semidirect
196. C2×(C22⋊D11)⋊C4C22semidirect
199. C2×C22⋊C4×D11C22semidirect
200. C2×C22⋊C4×D11C22semidirect
201. C2×#66932C22semidirect
202. C2×#66932C22semidirect
203. C2×#66932C22semidirect
204. C2×#66932C22semidirect
205. C2×#66931C22semidirect
206. C2×#66931C22semidirect
207. C2×#66931C22semidirect
208. C2×#66931C22semidirect
209. C2×#66931C22semidirect
210. C2×#66930C22semidirect
211. C2×#66929C22semidirect
213. C2×C4×D44C22semidirect
214. C2×#66925C22semidirect
215. C2×#66925C22semidirect
216. C2×#66925C22semidirect
217. C2×#66923C22semidirect
218. C2×#66923C22semidirect
261. C2×#4341C23semidirect
282. C22×C4×D11C23semidirect
288. C11×#127C23semidirect
289. C11×#125C23semidirect
290. C11×#123C23semidirect
291. C11×#123C23semidirect
292. C11×#123C23semidirect
293. C11×#123C23semidirect
295. C11×#121C23semidirect
296. C11×#121C23semidirect
297. C11×#121C23semidirect
298. C11×#121C23semidirect
299. C11×#121C23semidirect
300. C4×D4×C11C23semidirect
301. C4×D4×C11C23semidirect
302. C11×#117C23semidirect
344. #66992C23semidirect
345. #66992C23semidirect
346. #66992C23semidirect
347. #66992C23semidirect
348. #66992C23semidirect
349. #66992C23semidirect
351. #66991C23semidirect
352. #66991C23semidirect
353. #66991C23semidirect
358. #66990C23semidirect
359. #66990C23semidirect
360. #66990C23semidirect
361. #66990C23semidirect
362. #66989C23semidirect
363. #66989C23semidirect
364. #66989C23semidirect
365. #66988C23semidirect
366. #66988C23semidirect
367. #66988C23semidirect
368. #66988C23semidirect
369. #66988C23semidirect
370. #66988C23semidirect
371. D4×Dic11C23semidirect
372. D4×Dic11C23semidirect
373. D4×Dic11C23semidirect
374. D4×Dic11C23semidirect
376. #66983C23semidirect
378. #66982C23semidirect
379. #66982C23semidirect
381. C4×C22⋊D11C23semidirect
382. C4×C22⋊D11C23semidirect
383. C4×C22⋊D11C23semidirect
384. C4×C22⋊D11C23semidirect
410. C2×(C2×D11)⋊C4C23semidirect
411. #66979C23semidirect
422. C2×C4⋊Dic11C23semidirect
423. #66977C23semidirect
424. #66977C23semidirect
425. #66977C23semidirect
446. C2×Dic11⋊C4C23semidirect
455. #66951C23semidirect
456. #66951C23semidirect
457. #66951C23semidirect
458. #66951C23semidirect
459. #66951C23semidirect
460. #66951C23semidirect
461. #66951C23semidirect
462. #66950C23semidirect
463. #66950C23semidirect
464. #66950C23semidirect
465. #66949C23semidirect
466. #66949C23semidirect
467. #66949C23semidirect
468. #66949C23semidirect
469. #66949C23semidirect
475. #66947C23semidirect
477. #66945C23semidirect
478. C4⋊C4×D11C23semidirect
479. C4⋊C4×D11C23semidirect
480. #66943C23semidirect
481. #66942C23semidirect
482. #66942C23semidirect
483. #66941C23semidirect
484. #66941C23semidirect
485. #66940C23semidirect
486. #66940C23semidirect
488. #66939C23semidirect
489. #66939C23semidirect
490. #66938C23semidirect
491. #66938C23semidirect
492. #66938C23semidirect
493. #66938C23semidirect
494. #66938C23semidirect
495. #66938C23semidirect
497. #66937C23semidirect
501. #66936C23semidirect
502. #66936C23semidirect
503. #66936C23semidirect
504. #66936C23semidirect
505. #66936C23semidirect
508. (C22⋊D11)⋊C4C23semidirect
509. (C22⋊D11)⋊C4C23semidirect
510. (C22⋊D11)⋊C4C23semidirect
511. (C22⋊D11)⋊C4C23semidirect
512. (C22⋊D11)⋊C4C23semidirect
515. C22⋊C4×D11C23semidirect
516. C22⋊C4×D11C23semidirect
517. #66932C23semidirect
518. #66932C23semidirect
519. #66932C23semidirect
520. #66932C23semidirect
521. #66931C23semidirect
522. #66931C23semidirect
523. #66931C23semidirect
524. #66931C23semidirect
525. #66931C23semidirect
526. #66930C23semidirect
527. #66929C23semidirect
529. C4×D44C23semidirect
530. #66925C23semidirect
531. #66925C23semidirect
532. #66925C23semidirect
533. #66923C23semidirect
534. #66923C23semidirect
811. C2×#540D11semidirect
995. #540C2×D11semidirect
1007. C2×#127C2×D11semidirect
1025. C2×#125C2×D11semidirect
1065. C2×#123C2×D11semidirect
1066. C2×#123C2×D11semidirect
1067. C2×#123C2×D11semidirect
1068. C2×#123C2×D11semidirect
1104. C2×#121C2×D11semidirect
1105. C2×#121C2×D11semidirect
1106. C2×#121C2×D11semidirect
1107. C2×#121C2×D11semidirect
1108. C2×#121C2×D11semidirect
1137. C2×C4×D4C2×D11semidirect
1138. C2×C4×D4C2×D11semidirect
1145. C2×#117C2×D11semidirect
1293. #127C22×D11semidirect
1311. #125C22×D11semidirect
1348. #123C22×D11semidirect
1349. #123C22×D11semidirect
1350. #123C22×D11semidirect
1351. #123C22×D11semidirect
1387. #121C22×D11semidirect
1388. #121C22×D11semidirect
1389. #121C22×D11semidirect
1390. #121C22×D11semidirect
1391. #121C22×D11semidirect
1420. C4×D4C22×D11semidirect
1421. C4×D4C22×D11semidirect
1428. #117C22×D11semidirect
1542. C2×C11#3533semidirect
1805. C11C2×#3533semidirect
2027. C2#13082776direct (N × H)

Maximal subgroups

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

subgroupindex
#130827762
C2×#106232302
C2×#106231982
C2×#106231522
C2×#106231512
C2×#106231952
C2×#106230962
C2×#106231322
C2×#106230602
C2×#106232242
C2×#106230872
C2×#106230582
C2×#106231892
C2×#106231422
C2×#106231862
C2×#106231432
C2×#106231412
C2×#106231932
C2×#106231342
C2×#106232502
C2×#106231962
C2×#106230952
C2×#106231482
C2×#106231882
C2×#106231442
C2×#106232462
C2×#106231362
C2×#106231372
C2×#106230782
C2×D11×#1232
C2×C11×#5402
C2×#353311