Finite Group Databasebeta

← C2×#13082778 #15661027

Subgroups — C2×#13082778 #15661027

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#13082778C2132yesmaximal, direct product factor
2C2×#10623177C211yesmaximal, characteristic, complemented
3C2×#10623198C211yesmaximal, characteristic, complemented
4C2×#10623151C211yesmaximal, characteristic, complemented
5C2×#10623212C211yesmaximal, characteristic, complemented
6C2×#10623145C211yesmaximal, characteristic, complemented
7C2×#10623132C211yesmaximal, characteristic, complemented
8C2×#10623225C211yesmaximal, characteristic, complemented
9C2×#10623170C211yesmaximal, characteristic, complemented
10C2×#10623168C211yesmaximal, characteristic, complemented
11C2×#10623189C211yesmaximal, characteristic, complemented
12C2×#10623189C211yesmaximal, characteristic, complemented
13C2×#10623162C211yesmaximal, characteristic, complemented
14C2×#10623186C211yesmaximal, characteristic, complemented
15C2×#10623207C211yesmaximal, characteristic, complemented
16C2×#10623141C211yesmaximal, characteristic, complemented
17C2×#10623174C211yesmaximal, characteristic, complemented
18C2×#10623200C211yesmaximal, characteristic, complemented
19C2×#10623150C211yesmaximal, characteristic, complemented
20C2×#10623194C211yesmaximal, characteristic, complemented
21C2×#10623176C211yesmaximal, characteristic, complemented
22C2×#10623223C211yesmaximal, characteristic, complemented
23C2×#10623175C211yesmaximal, characteristic, complemented
24C2×#10623188C211yesmaximal, characteristic, complemented
25C2×#10623188C211yesmaximal, characteristic, complemented
26C2×#10623209C211yesmaximal, characteristic, complemented
27C2×#10623138C211yesmaximal, characteristic, complemented
28C2×#10623136C211yesmaximal, characteristic, complemented
29C2×#10623158C211yesmaximal, characteristic, complemented
30C2×#10623137C211yesmaximal, characteristic, complemented
31C2×D11×#123C211yesmaximal, characteristic, complemented
32C2×C11×#562C211yesmaximal, characteristic, complemented
33C22×#4343C2211yescharacteristic
34C22×#4341C2211yescharacteristic
35C22×D4×D11C2211yescharacteristic
36C22×D4×D11C2211yescharacteristic
37C22×#4339C2211yescharacteristic, complemented
38C23×C4×D11C2211yescharacteristic, complemented
39C11×#562C22116yescomplemented
40C2×C11×#125C2211yescharacteristic, complemented
41C2×C11×#124C2211yescharacteristic, complemented
42C2×C11×#124C2211yescharacteristic, complemented
43C2×C11×#123C2211yescharacteristic, complemented
44C2×C11×#123C2211yescharacteristic, complemented
45C2×C11×#123C2211yescharacteristic, complemented
46C2×C11×#123C2211yescharacteristic, complemented
47C2×C11×C22⋊Q8C2211yescharacteristic, complemented
48C2×C11×C22⋊Q8C2211yescharacteristic, complemented
49C2×C11×C22⋊Q8C2211yescharacteristic, complemented
50C2×C11×C22⋊Q8C2211yescharacteristic, complemented
51C2×C11×#121C2211yescharacteristic
52C2×C11×#121C2211yescharacteristic, complemented
53C2×C11×#121C2211yescharacteristic, complemented
54C2×C11×#121C2211yescharacteristic, complemented
55C2×#67000C2211yescharacteristic, complemented
56C2×#67000C2211yescharacteristic, complemented
57C2×#66999C2211yescharacteristic, complemented
58C2×#66999C2211yescharacteristic, complemented
59C2×#66999C2211yescharacteristic, complemented
60C2×Q8×Dic11C2211yescharacteristic, complemented
61C2×#66997C2211yescharacteristic, complemented
62C2×#66993C2211yescharacteristic
63C2×#66993C2211yescharacteristic, complemented
64C2×#66992C2211yescharacteristic
65C2×#66992C2211yescharacteristic
66C2×#66992C2211yescharacteristic, complemented
67C2×#66992C2211yescharacteristic, complemented
68C2×#66992C2211yescharacteristic, complemented
69C2×#66991C2211yescharacteristic, complemented
70C2×#66991C2211yescharacteristic, complemented
71C2×#66991C2211yescharacteristic, complemented
72C2×#66991C2211yescharacteristic, complemented
73C2×#66990C2211yescharacteristic
74C2×#66990C2211yescharacteristic
75C2×#66990C2211yescharacteristic
76C2×#66990C2211yescharacteristic, complemented
77C2×#66990C2211yescharacteristic, complemented
78C2×#66988C2211yescharacteristic, complemented
79C2×#66988C2211yescharacteristic, complemented
80C2×D4×Dic11C2211yescharacteristic, complemented
81C2×D4×Dic11C2211yescharacteristic, complemented
82C2×D4×Dic11C2211yescharacteristic, complemented
83C2×#66983C2211yescharacteristic
84C2×#66983C2211yescharacteristic
85C2×#66983C2211yescharacteristic, complemented
86C2×#66983C2211yescharacteristic, complemented
87C2×#66982C2211yescharacteristic
88C2×C4×C22⋊D11C2211yescharacteristic
89C2×C4×C22⋊D11C2211yescharacteristic, complemented
90C2×C4×C22⋊D11C2211yescharacteristic, complemented
91C22×(C2×D11)⋊C4C2211yescharacteristic
92C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
93C2×#66979C2211yescharacteristic, complemented
94C2×#66979C2211yescharacteristic, complemented
95C2×#66977C2211yescharacteristic, complemented
96C22×Dic11⋊C4C2211yescharacteristic, complemented
97#10623225C22116yescomplemented
98#10623223C22116yescomplemented
99#10623212C22116yescomplemented
100#10623209C22116yescomplemented
101#10623207C22116yescomplemented
102#10623200C22116yescomplemented
103#10623198C22116yescomplemented
104#10623194C22116yescomplemented
105#10623189C22116yescomplemented
106#10623189C22116yescomplemented
107#10623188C22116yescomplemented
108#10623188C22116yescomplemented
109#10623186C22116yescomplemented
110D11×#123C22116yescomplemented
111#10623177C22116yescomplemented
112#10623176C22116yescomplemented
113#10623175C22116yescomplemented
114#10623174C22116yescomplemented
115#10623170C22116yescomplemented
116#10623168C22116yescomplemented
117#10623162C22116yescomplemented
118#10623158C22116yescomplemented
119#10623151C22116yescomplemented
120#10623150C22116yescomplemented
121#10623145C22116yescomplemented
122#10623141C22116yescomplemented
123#10623138C22116yescomplemented
124#10623137C22116yescomplemented
125#10623136C22116yescomplemented
126#10623132C22116yescomplemented
127C2×#66951C2211yescharacteristic, complemented
128C2×#66951C2211yescharacteristic, complemented
129C2×#66951C2211yescharacteristic, complemented
130C2×#66951C2211yescharacteristic, complemented
131C2×#66951C2211yescharacteristic, complemented
132C2×#66951C2211yescharacteristic, complemented
133C2×#66951C2211yescharacteristic, complemented
134C2×#66950C2211yescharacteristic, complemented
135C2×#66950C2211yescharacteristic, complemented
136C2×#66950C2211yescharacteristic, complemented
137C2×#66950C2211yescharacteristic, complemented
138C2×#66949C2211yescharacteristic, complemented
139C2×#66949C2211yescharacteristic, complemented
140C2×#66948C2211yescharacteristic
141C2×#66948C2211yescharacteristic, complemented
142C2×#66947C2211yescharacteristic
143C2×#66947C2211yescharacteristic
144C2×#66947C2211yescharacteristic
145C2×#66947C2211yescharacteristic
146C2×#66947C2211yescharacteristic
147C2×#66947C2211yescharacteristic, complemented
148C2×#66947C2211yescharacteristic, complemented
149C2×#66947C2211yescharacteristic, complemented
150C2×#66947C2211yescharacteristic, complemented
151C2×#66946C2211yescharacteristic, complemented
152C2×#66946C2211yescharacteristic, complemented
153C2×#66946C2211yescharacteristic, complemented
154C2×#66945C2211yescharacteristic, complemented
155C2×#66945C2211yescharacteristic, complemented
156C2×#66945C2211yescharacteristic, complemented
157C2×#66945C2211yescharacteristic, complemented
158C2×C4⋊C4×D11C2211yescharacteristic, complemented
159C2×C4⋊C4×D11C2211yescharacteristic, complemented
160C2×C4⋊C4×D11C2211yescharacteristic, complemented
161C2×#66943C2211yescharacteristic, complemented
162C2×#66943C2211yescharacteristic, complemented
163C2×#66943C2211yescharacteristic, complemented
164C2×#66942C2211yescharacteristic, complemented
165C2×#66942C2211yescharacteristic, complemented
166C2×#66941C2211yescharacteristic, complemented
167C2×#66939C2211yescharacteristic
168C2×#66939C2211yescharacteristic, complemented
169C2×#66939C2211yescharacteristic, complemented
170C2×#66939C2211yescharacteristic, complemented
171C2×#66939C2211yescharacteristic, complemented
172C2×#66938C2211yescharacteristic
173C2×#66938C2211yescharacteristic, complemented
174C2×#66938C2211yescharacteristic, complemented
175C2×#66938C2211yescharacteristic, complemented
176C2×#66938C2211yescharacteristic, complemented
177C2×#66938C2211yescharacteristic, complemented
178C2×#66937C2211yescharacteristic
179C2×#66937C2211yescharacteristic
180C2×#66937C2211yescharacteristic, complemented
181C2×#66937C2211yescharacteristic, complemented
182C2×#66937C2211yescharacteristic, complemented
183C2×#66936C2211yescharacteristic
184C2×#66936C2211yescharacteristic
185C2×#66936C2211yescharacteristic
186C2×#66936C2211yescharacteristic, complemented
187C2×#66936C2211yescharacteristic, complemented
188C2×#66936C2211yescharacteristic, complemented
189C2×#66936C2211yescharacteristic, complemented
190C2×#66936C2211yescharacteristic, complemented
191C2×#66936C2211yescharacteristic, complemented
192C2×#66935C2211yescharacteristic
193C2×#66935C2211yescharacteristic
194C2×#66935C2211yescharacteristic
195C2×#66935C2211yescharacteristic, complemented
196C2×#66935C2211yescharacteristic, complemented
197C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
198C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
199C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
200C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
201C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
202C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
203C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
204C2×C22⋊C4×D11C2211yescharacteristic
205C2×C22⋊C4×D11C2211yescharacteristic
206C2×C22⋊C4×D11C2211yescharacteristic, complemented
207C2×C22⋊C4×D11C2211yescharacteristic, complemented
208C2×#66932C2211yescharacteristic, complemented
209C2×#66932C2211yescharacteristic, complemented
210C2×#66932C2211yescharacteristic, complemented
211C2×#66932C2211yescharacteristic, complemented
212C2×#66931C2211yescharacteristic, complemented
213C2×#66931C2211yescharacteristic, complemented
214C2×#66930C2211yescharacteristic, complemented
215C2×#66929C2211yescharacteristic, complemented
216C2×C4×D44C2211yescharacteristic
217C2×C4×D44C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C22×Q8×C11C2311yescharacteristic
223C22×Q8×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C22×D4×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C22×D4×C11C2311yescharacteristic
230C23×C4×C11C2311yescharacteristic
231C23×C4×C11C2311yescharacteristic
232C23×C4×C11C2311yescharacteristic
233C23×C4×C11C2311yescharacteristic
234C22×C22⋊D11C2311yescharacteristic
235C22×C22⋊D11C2311yescharacteristic
236C22×C22⋊D11C2311yescharacteristic
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
248C23×Dic11C2311yescharacteristic
249C23×Dic11C2311yescharacteristic
250C23×Dic11C2311yescharacteristic
251C23×Dic11C2311yescharacteristic
252C23×Dic11C2311yescharacteristic
253C2×#4343—44no—
254C2×#4343C2318yes—
255C2×#4341—44no—
256C2×#4341C2318yes—
257C2×D4×D11—44no—
258C2×D4×D11—44no—
259C2×D4×D11C2318yes—
260C2×D4×D11C2318yes—
261C2×#4339—44no—
262C2×#4339C2318yescomplemented
263C22×D44C2311yescharacteristic
264C22×D44C2311yescharacteristic
265C22×D44C2311yescharacteristic
266C22×D44C2311yescharacteristic
267C22×D44C2311yescharacteristic
268C22×D44C2311yescharacteristic
269C22×D44C2311yescharacteristic
270C22×C4×D11—44no—
271C22×C4×D11C2311yescharacteristic
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×D11C2311yescharacteristic
283C22×C4×D11C2311yescharacteristic
284C22×C4×D11C2318yescomplemented
285C22×Dic22C2311yescharacteristic
286C22×Dic22C2311yescharacteristic
287C22×Dic22C2311yescharacteristic
288C11×#125C2318yescomplemented
289C11×#124C2318yescomplemented
290C11×#124C2318yescomplemented
291C11×#123C2318yescomplemented
292C11×#123C2318yescomplemented
293C11×#123C2318yescomplemented
294C11×#123C2318yescomplemented
295C11×C22⋊Q8C2318yescomplemented
296C11×C22⋊Q8C2318yescomplemented
297C11×C22⋊Q8C2318yescomplemented
298C11×C22⋊Q8C2318yescomplemented
299C11×#121C2318yes—
300C11×#121C2318yescomplemented
301C11×#121C2318yescomplemented
302C11×#121C2318yescomplemented
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×C4⋊C4C2311yescharacteristic
312C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
322C2×C11×C22⋊C4C2311yescharacteristic
323C2×C11×C22⋊C4C2311yescharacteristic
324C2×C11×C22⋊C4C2311yescharacteristic
325C2×C42×C11C2311yescharacteristic
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
336#67000C2318yescomplemented
337#67000C2318yescomplemented
338#66999C2318yescomplemented
339#66999C2318yescomplemented
340#66999C2318yescomplemented
341Q8×Dic11C2318yescomplemented
342#66997C2318yescomplemented
343#66993C2318yes—
344#66993C2318yescomplemented
345#66992C2318yes—
346#66992C2318yes—
347#66992C2318yescomplemented
348#66992C2318yescomplemented
349#66992C2318yescomplemented
350#66991C2318yescomplemented
351#66991C2318yescomplemented
352#66991C2318yescomplemented
353#66991C2318yescomplemented
354#66990C2318yes—
355#66990C2318yes—
356#66990C2318yes—
357#66990C2318yescomplemented
358#66990C2318yescomplemented
359#66988C2318yescomplemented
360#66988C2318yescomplemented
361D4×Dic11C2318yescomplemented
362D4×Dic11C2318yescomplemented
363D4×Dic11C2318yescomplemented
364#66983C2318yes—
365#66983C2318yes—
366#66983C2318yescomplemented
367#66983C2318yescomplemented
368#66982C2318yes—
369C4×C22⋊D11C2318yes—
370C4×C22⋊D11C2318yescomplemented
371C4×C22⋊D11C2318yescomplemented
372C2×(C2×D11)⋊C4C2311yescharacteristic
373C2×(C2×D11)⋊C4C2311yescharacteristic
374C2×(C2×D11)⋊C4C2311yescharacteristic
375C2×(C2×D11)⋊C4C2311yescharacteristic
376C2×(C2×D11)⋊C4C2311yescharacteristic
377C2×(C2×D11)⋊C4C2311yescharacteristic
378C2×(C2×D11)⋊C4C2311yescharacteristic
379C2×(C2×D11)⋊C4C2311yescharacteristic
380C2×(C2×D11)⋊C4C2311yescharacteristic
381C2×(C2×D11)⋊C4C2311yescharacteristic
382C2×(C2×D11)⋊C4C2311yescharacteristic
383C2×(C2×D11)⋊C4C2311yescharacteristic
384C2×(C2×D11)⋊C4C2311yescharacteristic
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)⋊C4C2318yes—
401C2×(C2×D11)⋊C4C2318yescomplemented
402#66979C2318yescomplemented
403#66979C2318yescomplemented
404C2×C4⋊Dic11C2311yescharacteristic
405C2×C4⋊Dic11C2311yescharacteristic
406C2×C4⋊Dic11C2311yescharacteristic
407C2×C4⋊Dic11C2311yescharacteristic
408C2×C4⋊Dic11C2311yescharacteristic
409C2×C4⋊Dic11C2311yescharacteristic
410C2×C4⋊Dic11C2311yescharacteristic
411C2×C4⋊Dic11C2311yescharacteristic
412C2×C4⋊Dic11C2311yescharacteristic
413C2×C4⋊Dic11C2311yescharacteristic
414C2×C4⋊Dic11C2311yescharacteristic
415C2×C4⋊Dic11C2311yescharacteristic
416#66977C2318yescomplemented
417C2×Dic11⋊C4C2311yescharacteristic
418C2×Dic11⋊C4C2311yescharacteristic
419C2×Dic11⋊C4C2311yescharacteristic
420C2×Dic11⋊C4C2311yescharacteristic
421C2×Dic11⋊C4C2311yescharacteristic
422C2×Dic11⋊C4C2311yescharacteristic
423C2×Dic11⋊C4C2311yescharacteristic
424C2×Dic11⋊C4C2311yescharacteristic
425C2×Dic11⋊C4C2311yescharacteristic
426C2×Dic11⋊C4C2311yescharacteristic
427C2×Dic11⋊C4C2311yescharacteristic
428C2×Dic11⋊C4C2311yescharacteristic
429C2×Dic11⋊C4C2311yescharacteristic
430C2×Dic11⋊C4C2311yescharacteristic
431C2×Dic11⋊C4C2311yescharacteristic
432C2×Dic11⋊C4C2311yescharacteristic
433C2×Dic11⋊C4C2318yescomplemented
434C2×C4×Dic11C2311yescharacteristic
435C2×C4×Dic11C2311yescharacteristic
436C2×C4×Dic11C2311yescharacteristic
437C2×C4×Dic11C2311yescharacteristic
438C2×C4×Dic11C2311yescharacteristic
439C2×C4×Dic11C2311yescharacteristic
440C2×C4×Dic11C2311yescharacteristic
441C2×C4×Dic11C2311yescharacteristic
442C2×C4×Dic11C2311yescharacteristic
443#66951C2318yescomplemented
444#66951C2318yescomplemented
445#66951C2318yescomplemented
446#66951C2318yescomplemented
447#66951C2318yescomplemented
448#66951C2318yescomplemented
449#66951C2318yescomplemented
450#66950C2318yescomplemented
451#66950C2318yescomplemented
452#66950C2318yescomplemented
453#66950C2318yescomplemented
454#66949C2318yescomplemented
455#66949C2318yescomplemented
456#66948C2318yes—
457#66948C2318yescomplemented
458#66947C2318yes—
459#66947C2318yes—
460#66947C2318yes—
461#66947C2318yes—
462#66947C2318yes—
463#66947C2318yescomplemented
464#66947C2318yescomplemented
465#66947C2318yescomplemented
466#66947C2318yescomplemented
467#66946C2318yescomplemented
468#66946C2318yescomplemented
469#66946C2318yescomplemented
470#66945C2318yescomplemented
471#66945C2318yescomplemented
472#66945C2318yescomplemented
473#66945C2318yescomplemented
474C4⋊C4×D11C2318yescomplemented
475C4⋊C4×D11C2318yescomplemented
476C4⋊C4×D11C2318yescomplemented
477#66943C2318yescomplemented
478#66943C2318yescomplemented
479#66943C2318yescomplemented
480#66942C2318yescomplemented
481#66942C2318yescomplemented
482#66941C2318yescomplemented
483#66939C2318yes—
484#66939C2318yescomplemented
485#66939C2318yescomplemented
486#66939C2318yescomplemented
487#66939C2318yescomplemented
488#66938C2318yes—
489#66938C2318yescomplemented
490#66938C2318yescomplemented
491#66938C2318yescomplemented
492#66938C2318yescomplemented
493#66938C2318yescomplemented
494#66937C2318yes—
495#66937C2318yes—
496#66937C2318yescomplemented
497#66937C2318yescomplemented
498#66937C2318yescomplemented
499#66936C2318yes—
500#66936C2318yes—
501#66936C2318yes—
502#66936C2318yescomplemented
503#66936C2318yescomplemented
504#66936C2318yescomplemented
505#66936C2318yescomplemented
506#66936C2318yescomplemented
507#66936C2318yescomplemented
508#66935C2318yes—
509#66935C2318yes—
510#66935C2318yes—
511#66935C2318yescomplemented
512#66935C2318yescomplemented
513(C22⋊D11)⋊C4C2318yescomplemented
514(C22⋊D11)⋊C4C2318yescomplemented
515(C22⋊D11)⋊C4C2318yescomplemented
516(C22⋊D11)⋊C4C2318yescomplemented
517(C22⋊D11)⋊C4C2318yescomplemented
518(C22⋊D11)⋊C4C2318yescomplemented
519(C22⋊D11)⋊C4C2318yescomplemented
520C22⋊C4×D11C2318yes—
521C22⋊C4×D11C2318yes—
522C22⋊C4×D11C2318yescomplemented
523C22⋊C4×D11C2318yescomplemented
524#66932C2318yescomplemented
525#66932C2318yescomplemented
526#66932C2318yescomplemented
527#66932C2318yescomplemented
528#66931C2318yescomplemented
529#66931C2318yescomplemented
530#66930C2318yescomplemented
531#66929C2318yescomplemented
532C4×D44C2318yes—
533C4×D44C2318yescomplemented
534C4×Dic22C2318yescomplemented
535C2×#3533—111nomaximal, Sylow
536C24×C11C2411yescharacteristic
537C24×C11C2411yescharacteristic
538C24×C11C2411yescharacteristic
539C24×C11C2411yescharacteristic
540C23×D11—24no—
541C23×D11—24no—
542C23×D11—42no—
543C23×D11—42no—
544C23×D11—42no—
545C23×D11—42no—
546C23×D11—42no—
547C23×D11—42no—
548C23×D11—42no—
549C23×D11C2411yescharacteristic
550C23×D11C2411yescharacteristic
551C23×D11C2411yescharacteristic
552C23×D11C2411yescharacteristic
553C23×D11C2411yescharacteristic
554C23×D11C2414yes—
555C23×D11C2414yes—
556C23×D11C2414yes—
557C2×Q8×C11—42no—
558C2×Q8×C11—42no—
559C2×Q8×C11C2414yes—
560C2×Q8×C11C2414yes—
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—
573C22×C4×C11—42no—
574C22×C4×C11—42no—
575C22×C4×C11—42no—
576C22×C4×C11—42no—
577C22×C4×C11C2411yescharacteristic
578C22×C4×C11C2411yescharacteristic
579C22×C4×C11C2411yescharacteristic
580C22×C4×C11C2411yescharacteristic
581C22×C4×C11C2411yescharacteristic
582C22×C4×C11C2411yescharacteristic
583C22×C4×C11C2411yescharacteristic
584C22×C4×C11C2411yescharacteristic
585C22×C4×C11C2411yescharacteristic
586C22×C4×C11C2411yescharacteristic
587C22×C4×C11C2411yescharacteristic
588C22×C4×C11C2414yes—
589C22×C4×C11C2414yes—
590C22×C4×C11C2414yes—
591C22×C4×C11C2414yes—
592C2×C22⋊D11—24no—
593C2×C22⋊D11—24no—
594C2×C22⋊D11—42no—
595C2×C22⋊D11—42no—
596C2×C22⋊D11—42no—
597C2×C22⋊D11—42no—
598C2×C22⋊D11—42no—
599C2×C22⋊D11—42no—
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⋊D11C2414yes—
607C2×C22⋊D11C2414yes—
608C2×C22⋊D11C2414yes—
609C2×C22⋊D11C2414yes—
610C2×C22⋊D11C2414yes—
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—
620C22×Dic11—42no—
621C22×Dic11—42no—
622C22×Dic11—42no—
623C22×Dic11—42no—
624C22×Dic11—42no—
625C22×Dic11C2411yescharacteristic
626C22×Dic11C2411yescharacteristic
627C22×Dic11C2411yescharacteristic
628C22×Dic11C2411yescharacteristic
629C22×Dic11C2411yescharacteristic
630C22×Dic11C2411yescharacteristic
631C22×Dic11C2411yescharacteristic
632C22×Dic11C2411yescharacteristic
633C22×Dic11C2411yescharacteristic
634C22×Dic11C2411yescharacteristic
635C22×Dic11C2411yescharacteristic
636C22×Dic11C2414yes—
637C22×Dic11C2414yes—
638C22×Dic11C2414yes—
639C22×Dic11C2414yes—
640C22×Dic11C2414yes—
641#4343—416no—
642#4341—416no—
643D4×D11—416no—
644D4×D11—416no—
645#4339—416no—
646C2×D44—24no—
647C2×D44—24no—
648C2×D44—42no—
649C2×D44—42no—
650C2×D44—42no—
651C2×D44—42no—
652C2×D44—42no—
653C2×D44C2414yes—
654C2×D44C2414yes—
655C2×D44C2414yes—
656C2×D44C2414yes—
657C2×D44C2414yes—
658C2×D44C2414yes—
659C2×D44C2414yes—
660C2×C4×D11—24no—
661C2×C4×D11—24no—
662C2×C4×D11—24no—
663C2×C4×D11—42no—
664C2×C4×D11—42no—
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—42no—
673C2×C4×D11—416no—
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×C4×D11C2414yes—
684C2×C4×D11C2414yes—
685C2×C4×D11C2414yes—
686C2×C4×D11C2414yes—
687C2×Dic22—42no—
688C2×Dic22—42no—
689C2×Dic22—42no—
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×C4⋊C4C2414yes—
702C11×C4⋊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—
711C11×C22⋊C4C2414yes—
712C11×C22⋊C4C2414yes—
713C11×C22⋊C4C2414yes—
714C11×C22⋊C4C2414yes—
715C42×C11C2414yes—
716C22⋊Dic11C2414yes—
717C22⋊Dic11C2414yes—
718C22⋊Dic11C2414yes—
719C22⋊Dic11C2414yes—
720C22⋊Dic11C2414yes—
721C22⋊Dic11C2414yes—
722C22⋊Dic11C2414yes—
723C22⋊Dic11C2414yes—
724C22⋊Dic11C2414yes—
725C22⋊Dic11C2414yes—
726(C2×D11)⋊C4C2414yes—
727(C2×D11)⋊C4C2414yes—
728(C2×D11)⋊C4C2414yes—
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—
753(C2×D11)⋊C4C2414yes—
754C4⋊Dic11C2414yes—
755C4⋊Dic11C2414yes—
756C4⋊Dic11C2414yes—
757C4⋊Dic11C2414yes—
758C4⋊Dic11C2414yes—
759C4⋊Dic11C2414yes—
760C4⋊Dic11C2414yes—
761C4⋊Dic11C2414yes—
762C4⋊Dic11C2414yes—
763C4⋊Dic11C2414yes—
764C4⋊Dic11C2414yes—
765C4⋊Dic11C2414yes—
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—
782C4×Dic11C2414yes—
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×#562D1111yescharacteristic, complemented
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×#540—111no—
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×C11C2512yes—
836C23×C11C2512yes—
837C23×C11C2512yes—
838C23×C11C2512yes—
839C23×C11C2511yescharacteristic
840C22×D11—22no—
841C22×D11—22no—
842C22×D11—22no—
843C22×D11—22no—
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—28no—
855C22×D11—28no—
856C22×D11—44no—
857C22×D11—44no—
858C22×D11—44no—
859C22×D11—44no—
860C22×D11—44no—
861C22×D11—44no—
862C22×D11—44no—
863C22×D11—416no—
864C22×D11—88no—
865C22×D11—88no—
866C22×D11H(5,𝔽2)14yes—
867C22×D11C2512yes—
868C22×D11C2512yes—
869C22×D11C2512yes—
870C22×D11C2512yes—
871C22×D11C2512yes—
872Q8×C11—44no—
873Q8×C11—44no—
874D4×C11—44no—
875D4×C11—44no—
876D4×C11—44no—
877D4×C11—44no—
878D4×C11—44no—
879D4×C11—44no—
880C2×C4×C11—22no—
881C2×C4×C11—22no—
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—44no—
892C2×C4×C11—44no—
893C2×C4×C11—44no—
894C2×C4×C11—44no—
895C2×C4×C11C2512yes—
896C2×C4×C11C2512yes—
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—
906C22⋊D11—28no—
907C22⋊D11—28no—
908C22⋊D11—44no—
909C22⋊D11—44no—
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—
920C2×Dic11—22no—
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—44no—
932C2×Dic11—44no—
933C2×Dic11—44no—
934C2×Dic11—44no—
935C2×Dic11—44no—
936C2×Dic11C2512yes—
937C2×Dic11C2512yes—
938C2×Dic11C2512yes—
939C2×Dic11C2512yes—
940C2×Dic11C2512yes—
941C2×Dic11C2512yes—
942C2×Dic11C2512yes—
943C2×Dic11C2512yes—
944C2×Dic11C2512yes—
945C2×Dic11C2512yes—
946C2×Dic11C2512yes—
947D44—28no—
948D44—28no—
949D44—44no—
950D44—44no—
951D44—44no—
952D44—44no—
953D44—44no—
954C4×D11—28no—
955C4×D11—28no—
956C4×D11—28no—
957C4×D11—44no—
958C4×D11—44no—
959C4×D11—44no—
960C4×D11—44no—
961C4×D11—44no—
962C4×D11—44no—
963C4×D11—44no—
964C4×D11—44no—
965C4×D11—44no—
966C4×D11—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#562C2×D11116yescomplemented
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#540—1116no—
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×#127—111no—
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×#124C2×D1111yescharacteristic, complemented
1035C2×#124C2×D1111yescharacteristic, complemented
1036#525—1116no—
1037#525—1116no—
1038C2×#123—111no—
1039C2×#123—111no—
1040C2×#123—111no—
1041C2×#123—1116no—
1042C2×#123—111no—
1043C2×#123—111no—
1044C2×#123—111no—
1045C2×#123—111no—
1046C2×#123—111no—
1047C2×#123—111no—
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⋊Q8C2×D1111yescharacteristic, complemented
1082C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1083C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1084C2×C22⋊Q8C2×D1111yescharacteristic, complemented
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×#121—111no—
1104C2×#121—111no—
1105C2×#121C2×D1111yescharacteristic
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×D4—111no—
1138C2×C4×D4—111no—
1139C2×#117—111no—
1140C2×#117—111no—
1141C2×#117—111no—
1142C2×#117—111no—
1143C2×#117—111no—
1144C2×#117—111no—
1145C2×#117—111no—
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—44no—
1169C22×C11—44no—
1170C22×C11—44no—
1171C22×C11—44no—
1172C22×C11C2×H(5,𝔽2)12yes—
1173C22×C11#58512yes—
1174C22×C11#58512yes—
1175C22×C11C2611yescharacteristic
1176C2×D11—22no—
1177C2×D11—22no—
1178C2×D11—28no—
1179C2×D11—22no—
1180C2×D11—22no—
1181C2×D11—22no—
1182C2×D11—22no—
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—416no—
1192C2×D11—44no—
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—
1209C4×C11—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×Q8C22×D1111yescharacteristic
1234C22×Q8C22×D1111yescharacteristic
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—111no—
1255C22×D4—111no—
1256C22×D4—111no—
1257C22×D4—111no—
1258C22×D4—444no—
1259C22×D4—444no—
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—111no—
1284C23×C4—118no—
1285C23×C4—444no—
1286C23×C4C22×D1111yescharacteristic
1287C23×C4C22×D1111yescharacteristic
1288C23×C4C22×D1111yescharacteristic
1289C23×C4C22×D1111yescharacteristic
1290C4⋊Q8—118no—
1291C4⋊Q8—118no—
1292#127—118no—
1293#127—118no—
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#124C22×D1118yescomplemented
1321#124C22×D1118yescomplemented
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⋊Q8C22×D1118yescomplemented
1365C22⋊Q8C22×D1118yescomplemented
1366C22⋊Q8C22×D1118yescomplemented
1367C22⋊Q8C22×D1118yescomplemented
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#121—118no—
1387#121—118no—
1388#121C22×D1118yes—
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×D4—118no—
1421C4×D4—118no—
1422#117—118no—
1423#117—118no—
1424#117—118no—
1425#117—118no—
1426#117—118no—
1427#117—118no—
1428#117—118no—
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—118no—
1441C2×C4⋊C4—111no—
1442C2×C4⋊C4—111no—
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—118no—
1459C2×C4⋊C4—118no—
1460C2×C4⋊C4—118no—
1461C2×C4⋊C4C22×D1111yescharacteristic
1462C2×C4⋊C4C22×D1111yescharacteristic
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—118no—
1496C2×C22⋊C4—118no—
1497C2×C22⋊C4—111no—
1498C2×C22⋊C4—111no—
1499C2×C22⋊C4—111no—
1500C2×C22⋊C4—111no—
1501C2×C22⋊C4—111no—
1502C2×C22⋊C4—111no—
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—118no—
1512C2×C22⋊C4—118no—
1513C2×C22⋊C4—118no—
1514C2×C22⋊C4—118no—
1515C2×C22⋊C4C22×D1111yescharacteristic
1516C2×C22⋊C4C22×D1111yescharacteristic
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×C42—111no—
1536C2×C42C22×D1111yescharacteristic
1537C2×C11—42no—
1538C2×C11—42no—
1539C2×C11—42no—
1540C2×C11—42no—
1541C2×C11#353314yescomplemented
1542C2×C11C22×H(5,𝔽2)11yescharacteristic
1543C2×C11C2×#58511yescharacteristic
1544C2×C11C2×#58511yescharacteristic
1545D11—24no—
1546D11—42no—
1547D11—42no—
1548D11—42no—
1549D11—42no—
1550C24—111no—
1551C24—111no—
1552C24—111no—
1553C24—111no—
1554C24—111no—
1555C24—114no—
1556C24—114no—
1557C24—114no—
1558C24—224no—
1559C24—224no—
1560C24—442no—
1561C24—442no—
1562C24—442no—
1563C24—442no—
1564C24—442no—
1565C24—442no—
1566C24—442no—
1567C24C23×D1111yescharacteristic
1568C24C23×D1111yescharacteristic
1569C24C23×D1111yescharacteristic
1570C24C23×D1111yescharacteristic
1571#41—4416no—
1572#41—4416no—
1573#41—4416no—
1574C2×Q8—42no—
1575C2×Q8—42no—
1576C2×Q8—114no—
1577C2×Q8—114no—
1578C2×Q8—114no—
1579C2×Q8—442no—
1580C2×Q8—442no—
1581C2×Q8—442no—
1582C2×Q8C23×D1114yes—
1583C2×Q8C23×D1114yes—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—114no—
1591C2×D4—114no—
1592C2×D4—114no—
1593C2×D4—114no—
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—442no—
1618C2×D4—442no—
1619C2×D4—442no—
1620C2×D4—4416no—
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—442no—
1630C2×D4—442no—
1631C2×D4—442no—
1632C2×D4—442no—
1633C2×D4—4416no—
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—111no—
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—114no—
1656C22×C4—114no—
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—224no—
1674C22×C4—224no—
1675C22×C4—224no—
1676C22×C4—442no—
1677C22×C4—442no—
1678C22×C4—442no—
1679C22×C4—442no—
1680C22×C4—442no—
1681C22×C4—442no—
1682C22×C4—442no—
1683C22×C4—442no—
1684C22×C4—442no—
1685C22×C4—442no—
1686C22×C4—4416no—
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×D1111yescharacteristic
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⋊C4C23×D1114yes—
1736C4⋊C4C23×D1114yes—
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⋊C4C23×D1114yes—
1784C22⋊C4C23×D1114yes—
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—
1803C42—114no—
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—114no—
1819C23—112no—
1820C23—112no—
1821C23—112no—
1822C23—112no—
1823C23—112no—
1824C23—228no—
1825C23—228no—
1826C23—222no—
1827C23—222no—
1828C23—222no—
1829C23—222no—
1830C23—222no—
1831C23—222no—
1832C23—222no—
1833C23—222no—
1834C23—222no—
1835C23—222no—
1836C23—222no—
1837C23—222no—
1838C23—222no—
1839C23—222no—
1840C23—444no—
1841C23—444no—
1842C23—444no—
1843C23—444no—
1844C23—444no—
1845C23—444no—
1846C23—444no—
1847C23—4416no—
1848C23—888no—
1849C23—888no—
1850C23C24×D1112yes—
1851C23C24×D1112yes—
1852C23C24×D1112yes—
1853C23C24×D1112yes—
1854C23C24×D1111yescharacteristic
1855Q8—44no—
1856Q8—44no—
1857Q8—444no—
1858Q8—444no—
1859Q8—444no—
1860D4—44no—
1861D4—44no—
1862D4—44no—
1863D4—44no—
1864D4—44no—
1865D4—44no—
1866D4—228no—
1867D4—228no—
1868D4—228no—
1869D4—228no—
1870D4—444no—
1871D4—444no—
1872D4—444no—
1873D4—444no—
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—22no—
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—228no—
1914C2×C4—228no—
1915C2×C4—228no—
1916C2×C4—222no—
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—444no—
1928C2×C4—444no—
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×C4C24×D1112yes—
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—44no—
1966C22—44no—
1967C22—44no—
1968C22—44no—
1969C22—114no—
1970C22—222no—
1971C22—222no—
1972C22—228no—
1973C22—222no—
1974C22—222no—
1975C22—222no—
1976C22—222no—
1977C22—222no—
1978C22—222no—
1979C22—222no—
1980C22—222no—
1981C22—222no—
1982C22—222no—
1983C22—222no—
1984C22—222no—
1985C22—4416no—
1986C22—444no—
1987C22—444no—
1988C22—444no—
1989C22—444no—
1990C22—888no—
1991C22—888no—
1992C22D11×H(5,𝔽2)12yes—
1993C22#1062345512yes—
1994C22#1062345712yes—
1995C22C25×D1111yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
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—224no—
2023C2—442no—
2024C2—442no—
2025C2—442no—
2026C2—442no—
2027C2#1308277814yesdirect product factor
2028C2C2×D11×H(5,𝔽2)11yescharacteristic
2029C2C2×#1062345511yescharacteristic
2030C2C2×#1062345711yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#562C2
socleC23×C11C25
hypercenterC2×#562D11
hypocenterC11C2×#3533
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#562

Complements

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

NH ≅ G/Ntype
1. #13082778C2direct (N × H)
2. C2×#10623177C2semidirect
3. C2×#10623198C2semidirect
4. C2×#10623151C2semidirect
5. C2×#10623212C2semidirect
6. C2×#10623145C2semidirect
7. C2×#10623132C2semidirect
8. C2×#10623225C2semidirect
9. C2×#10623170C2semidirect
10. C2×#10623168C2semidirect
11. C2×#10623189C2semidirect
12. C2×#10623189C2semidirect
13. C2×#10623162C2semidirect
14. C2×#10623186C2semidirect
15. C2×#10623207C2semidirect
16. C2×#10623141C2semidirect
17. C2×#10623174C2semidirect
18. C2×#10623200C2semidirect
19. C2×#10623150C2semidirect
20. C2×#10623194C2semidirect
21. C2×#10623176C2semidirect
22. C2×#10623223C2semidirect
23. C2×#10623175C2semidirect
24. C2×#10623188C2semidirect
25. C2×#10623188C2semidirect
26. C2×#10623209C2semidirect
27. C2×#10623138C2semidirect
28. C2×#10623136C2semidirect
29. C2×#10623158C2semidirect
30. C2×#10623137C2semidirect
31. C2×D11×#123C2semidirect
32. C2×C11×#562C2semidirect
37. C22×#4339C22semidirect
38. C23×C4×D11C22semidirect
39. C11×#562C22semidirect
40. C2×C11×#125C22semidirect
41. C2×C11×#124C22semidirect
42. C2×C11×#124C22semidirect
43. C2×C11×#123C22semidirect
44. C2×C11×#123C22semidirect
45. C2×C11×#123C22semidirect
46. C2×C11×#123C22semidirect
47. C2×C11×C22⋊Q8C22semidirect
48. C2×C11×C22⋊Q8C22semidirect
49. C2×C11×C22⋊Q8C22semidirect
50. C2×C11×C22⋊Q8C22semidirect
52. C2×C11×#121C22semidirect
53. C2×C11×#121C22semidirect
54. C2×C11×#121C22semidirect
55. C2×#67000C22semidirect
56. C2×#67000C22semidirect
57. C2×#66999C22semidirect
58. C2×#66999C22semidirect
59. C2×#66999C22semidirect
60. C2×Q8×Dic11C22semidirect
61. C2×#66997C22semidirect
63. C2×#66993C22semidirect
66. C2×#66992C22semidirect
67. C2×#66992C22semidirect
68. C2×#66992C22semidirect
69. C2×#66991C22semidirect
70. C2×#66991C22semidirect
71. C2×#66991C22semidirect
72. C2×#66991C22semidirect
76. C2×#66990C22semidirect
77. C2×#66990C22semidirect
78. C2×#66988C22semidirect
79. C2×#66988C22semidirect
80. C2×D4×Dic11C22semidirect
81. C2×D4×Dic11C22semidirect
82. C2×D4×Dic11C22semidirect
85. C2×#66983C22semidirect
86. C2×#66983C22semidirect
89. C2×C4×C22⋊D11C22semidirect
90. C2×C4×C22⋊D11C22semidirect
92. C22×(C2×D11)⋊C4C22semidirect
93. C2×#66979C22semidirect
94. C2×#66979C22semidirect
95. C2×#66977C22semidirect
96. C22×Dic11⋊C4C22semidirect
97. #10623225C22semidirect
98. #10623223C22semidirect
99. #10623212C22semidirect
100. #10623209C22semidirect
101. #10623207C22semidirect
102. #10623200C22semidirect
103. #10623198C22semidirect
104. #10623194C22semidirect
105. #10623189C22semidirect
106. #10623189C22semidirect
107. #10623188C22semidirect
108. #10623188C22semidirect
109. #10623186C22semidirect
110. D11×#123C22semidirect
111. #10623177C22semidirect
112. #10623176C22semidirect
113. #10623175C22semidirect
114. #10623174C22semidirect
115. #10623170C22semidirect
116. #10623168C22semidirect
117. #10623162C22semidirect
118. #10623158C22semidirect
119. #10623151C22semidirect
120. #10623150C22semidirect
121. #10623145C22semidirect
122. #10623141C22semidirect
123. #10623138C22semidirect
124. #10623137C22semidirect
125. #10623136C22semidirect
126. #10623132C22semidirect
127. C2×#66951C22semidirect
128. C2×#66951C22semidirect
129. C2×#66951C22semidirect
130. C2×#66951C22semidirect
131. C2×#66951C22semidirect
132. C2×#66951C22semidirect
133. C2×#66951C22semidirect
134. C2×#66950C22semidirect
135. C2×#66950C22semidirect
136. C2×#66950C22semidirect
137. C2×#66950C22semidirect
138. C2×#66949C22semidirect
139. C2×#66949C22semidirect
141. C2×#66948C22semidirect
147. C2×#66947C22semidirect
148. C2×#66947C22semidirect
149. C2×#66947C22semidirect
150. C2×#66947C22semidirect
151. C2×#66946C22semidirect
152. C2×#66946C22semidirect
153. C2×#66946C22semidirect
154. C2×#66945C22semidirect
155. C2×#66945C22semidirect
156. C2×#66945C22semidirect
157. C2×#66945C22semidirect
158. C2×C4⋊C4×D11C22semidirect
159. C2×C4⋊C4×D11C22semidirect
160. C2×C4⋊C4×D11C22semidirect
161. C2×#66943C22semidirect
162. C2×#66943C22semidirect
163. C2×#66943C22semidirect
164. C2×#66942C22semidirect
165. C2×#66942C22semidirect
166. C2×#66941C22semidirect
168. C2×#66939C22semidirect
169. C2×#66939C22semidirect
170. C2×#66939C22semidirect
171. C2×#66939C22semidirect
173. C2×#66938C22semidirect
174. C2×#66938C22semidirect
175. C2×#66938C22semidirect
176. C2×#66938C22semidirect
177. C2×#66938C22semidirect
180. C2×#66937C22semidirect
181. C2×#66937C22semidirect
182. C2×#66937C22semidirect
186. C2×#66936C22semidirect
187. C2×#66936C22semidirect
188. C2×#66936C22semidirect
189. C2×#66936C22semidirect
190. C2×#66936C22semidirect
191. C2×#66936C22semidirect
195. C2×#66935C22semidirect
196. C2×#66935C22semidirect
197. C2×(C22⋊D11)⋊C4C22semidirect
198. C2×(C22⋊D11)⋊C4C22semidirect
199. C2×(C22⋊D11)⋊C4C22semidirect
200. C2×(C22⋊D11)⋊C4C22semidirect
201. C2×(C22⋊D11)⋊C4C22semidirect
202. C2×(C22⋊D11)⋊C4C22semidirect
203. C2×(C22⋊D11)⋊C4C22semidirect
206. C2×C22⋊C4×D11C22semidirect
207. C2×C22⋊C4×D11C22semidirect
208. C2×#66932C22semidirect
209. C2×#66932C22semidirect
210. C2×#66932C22semidirect
211. C2×#66932C22semidirect
212. C2×#66931C22semidirect
213. C2×#66931C22semidirect
214. C2×#66930C22semidirect
215. C2×#66929C22semidirect
217. C2×C4×D44C22semidirect
218. C2×C4×Dic22C22semidirect
262. C2×#4339C23semidirect
284. C22×C4×D11C23semidirect
288. C11×#125C23semidirect
289. C11×#124C23semidirect
290. C11×#124C23semidirect
291. C11×#123C23semidirect
292. C11×#123C23semidirect
293. C11×#123C23semidirect
294. C11×#123C23semidirect
295. C11×C22⋊Q8C23semidirect
296. C11×C22⋊Q8C23semidirect
297. C11×C22⋊Q8C23semidirect
298. C11×C22⋊Q8C23semidirect
300. C11×#121C23semidirect
301. C11×#121C23semidirect
302. C11×#121C23semidirect
336. #67000C23semidirect
337. #67000C23semidirect
338. #66999C23semidirect
339. #66999C23semidirect
340. #66999C23semidirect
341. Q8×Dic11C23semidirect
342. #66997C23semidirect
344. #66993C23semidirect
347. #66992C23semidirect
348. #66992C23semidirect
349. #66992C23semidirect
350. #66991C23semidirect
351. #66991C23semidirect
352. #66991C23semidirect
353. #66991C23semidirect
357. #66990C23semidirect
358. #66990C23semidirect
359. #66988C23semidirect
360. #66988C23semidirect
361. D4×Dic11C23semidirect
362. D4×Dic11C23semidirect
363. D4×Dic11C23semidirect
366. #66983C23semidirect
367. #66983C23semidirect
370. C4×C22⋊D11C23semidirect
371. C4×C22⋊D11C23semidirect
401. C2×(C2×D11)⋊C4C23semidirect
402. #66979C23semidirect
403. #66979C23semidirect
416. #66977C23semidirect
433. C2×Dic11⋊C4C23semidirect
443. #66951C23semidirect
444. #66951C23semidirect
445. #66951C23semidirect
446. #66951C23semidirect
447. #66951C23semidirect
448. #66951C23semidirect
449. #66951C23semidirect
450. #66950C23semidirect
451. #66950C23semidirect
452. #66950C23semidirect
453. #66950C23semidirect
454. #66949C23semidirect
455. #66949C23semidirect
457. #66948C23semidirect
463. #66947C23semidirect
464. #66947C23semidirect
465. #66947C23semidirect
466. #66947C23semidirect
467. #66946C23semidirect
468. #66946C23semidirect
469. #66946C23semidirect
470. #66945C23semidirect
471. #66945C23semidirect
472. #66945C23semidirect
473. #66945C23semidirect
474. C4⋊C4×D11C23semidirect
475. C4⋊C4×D11C23semidirect
476. C4⋊C4×D11C23semidirect
477. #66943C23semidirect
478. #66943C23semidirect
479. #66943C23semidirect
480. #66942C23semidirect
481. #66942C23semidirect
482. #66941C23semidirect
484. #66939C23semidirect
485. #66939C23semidirect
486. #66939C23semidirect
487. #66939C23semidirect
489. #66938C23semidirect
490. #66938C23semidirect
491. #66938C23semidirect
492. #66938C23semidirect
493. #66938C23semidirect
496. #66937C23semidirect
497. #66937C23semidirect
498. #66937C23semidirect
502. #66936C23semidirect
503. #66936C23semidirect
504. #66936C23semidirect
505. #66936C23semidirect
506. #66936C23semidirect
507. #66936C23semidirect
511. #66935C23semidirect
512. #66935C23semidirect
513. (C22⋊D11)⋊C4C23semidirect
514. (C22⋊D11)⋊C4C23semidirect
515. (C22⋊D11)⋊C4C23semidirect
516. (C22⋊D11)⋊C4C23semidirect
517. (C22⋊D11)⋊C4C23semidirect
518. (C22⋊D11)⋊C4C23semidirect
519. (C22⋊D11)⋊C4C23semidirect
522. C22⋊C4×D11C23semidirect
523. C22⋊C4×D11C23semidirect
524. #66932C23semidirect
525. #66932C23semidirect
526. #66932C23semidirect
527. #66932C23semidirect
528. #66931C23semidirect
529. #66931C23semidirect
530. #66930C23semidirect
531. #66929C23semidirect
533. C4×D44C23semidirect
534. C4×Dic22C23semidirect
794. C2×#562D11semidirect
978. #562C2×D11semidirect
1025. C2×#125C2×D11semidirect
1034. C2×#124C2×D11semidirect
1035. C2×#124C2×D11semidirect
1065. C2×#123C2×D11semidirect
1066. C2×#123C2×D11semidirect
1067. C2×#123C2×D11semidirect
1068. C2×#123C2×D11semidirect
1081. C2×C22⋊Q8C2×D11semidirect
1082. C2×C22⋊Q8C2×D11semidirect
1083. C2×C22⋊Q8C2×D11semidirect
1084. C2×C22⋊Q8C2×D11semidirect
1106. C2×#121C2×D11semidirect
1107. C2×#121C2×D11semidirect
1108. C2×#121C2×D11semidirect
1311. #125C22×D11semidirect
1320. #124C22×D11semidirect
1321. #124C22×D11semidirect
1348. #123C22×D11semidirect
1349. #123C22×D11semidirect
1350. #123C22×D11semidirect
1351. #123C22×D11semidirect
1364. C22⋊Q8C22×D11semidirect
1365. C22⋊Q8C22×D11semidirect
1366. C22⋊Q8C22×D11semidirect
1367. C22⋊Q8C22×D11semidirect
1389. #121C22×D11semidirect
1390. #121C22×D11semidirect
1391. #121C22×D11semidirect
1541. C2×C11#3533semidirect
1805. C11C2×#3533semidirect
2027. C2#13082778direct (N × H)

Maximal subgroups

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

subgroupindex
#130827782
C2×#106231772
C2×#106231982
C2×#106231512
C2×#106232122
C2×#106231452
C2×#106231322
C2×#106232252
C2×#106231702
C2×#106231682
C2×#106231892
C2×#106231622
C2×#106231862
C2×#106232072
C2×#106231412
C2×#106231742
C2×#106232002
C2×#106231502
C2×#106231942
C2×#106231762
C2×#106232232
C2×#106231752
C2×#106231882
C2×#106232092
C2×#106231382
C2×#106231362
C2×#106231582
C2×#106231372
C2×D11×#1232
C2×C11×#5622
C2×#353311