Finite Group Databasebeta

← #14924961

Subgroups — #14924961

Order 2816.

2728 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623363C211yesmaximal, characteristic, complemented
2C2×#10623069C211yesmaximal, characteristic, complemented
3#13073746C211yesmaximal, characteristic, complemented
4#13073738C211yesmaximal, characteristic, complemented
5#13073716C211yesmaximal, characteristic, complemented
6#13073708C211yesmaximal, characteristic, complemented
7#13073630C211yesmaximal, characteristic, complemented
8#13073582C211yesmaximal, characteristic, complemented
9#13073549C211yesmaximal, characteristic, complemented
10#13073512C211yesmaximal, characteristic, complemented
11#13073322C211yesmaximal, characteristic, complemented
12#13073320C211yesmaximal, characteristic, complemented
13#13072983C211yesmaximal, characteristic, complemented
14#13072961C211yesmaximal, characteristic, complemented
15#13072617C211yesmaximal, characteristic, complemented
16#13072615C211yesmaximal, characteristic, complemented
17#13072197C211yesmaximal, characteristic, complemented
18#13072186C211yesmaximal, characteristic, complemented
19#13071877C211yesmaximal, characteristic, complemented
20#13071876C211yesmaximal, characteristic, complemented
21#13071831C211yesmaximal, characteristic, complemented
22C4×#66938C211yesmaximal, characteristic, complemented
23C4×#66931C211yesmaximal, characteristic, complemented
24C4×#66992C211yesmaximal, characteristic, complemented
25C4×#66992C211yesmaximal, characteristic, complemented
26C4×#66991C211yesmaximal, characteristic, complemented
27#13071107C211yesmaximal, characteristic, complemented
28#13071102C211yesmaximal, characteristic, complemented
29C4×D4×Dic11C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2388C211yesmaximal, characteristic, complemented
32C22×C11×#41C2211yescharacteristic
33C22×#4339C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37#10623363—28no—
38C2×#67000C2211yescharacteristic
39C2×#66997C2211yescharacteristic
40C2×#66993C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66992C2211yescharacteristic
46C2×#66992C2211yescharacteristic
47C2×#66992C2211yescharacteristic
48C2×#66991C2211yescharacteristic
49C2×#66989C2211yescharacteristic
50C2×#66988C2211yescharacteristic
51C2×D4×Dic11C2211yescharacteristic
52C2×D4×Dic11C2211yescharacteristic
53C2×C4×C22⋊D11C2211yescharacteristic
54C2×C4×C22⋊D11C2211yescharacteristic
55C2×C4×C22⋊D11C2211yescharacteristic
56C2×C4×C22⋊D11C2211yescharacteristic
57C2×C4×C22⋊D11C2211yescharacteristic
58C2×C4×C22⋊D11C2211yescharacteristic
59C2×#66979C2211yescharacteristic
60C22×C4×Dic11C2211yescharacteristic
61C22×C4×Dic11C2211yescharacteristic
62C22×C4×Dic11C2211yescharacteristic
63#10623069—28no—
64C2×#66951C2211yescharacteristic
65C2×#66942C2211yescharacteristic
66C2×#66939C2211yescharacteristic
67C2×#66938C2211yescharacteristic
68C2×#66938C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic
70C2×(C22⋊D11)⋊C4C2211yescharacteristic
71C2×#66932C2211yescharacteristic
72C2×#66931C2211yescharacteristic
73C2×#66931C2211yescharacteristic
74C2×#66925C2211yescharacteristic
75C2×C42×D11C2211yescharacteristic
76C2×C4×Dic22C2211yescharacteristic
77C11×#395C2211yescharacteristic
78C11×#394C2211yescharacteristic
79C11×#394C2211yescharacteristic
80C11×#394C2211yescharacteristic
81C11×#393C2211yescharacteristic
82C11×#392C2211yescharacteristic
83C11×#392C2211yescharacteristic
84C11×#392C2211yescharacteristic
85C4×C11×C22⋊C4C2211yescharacteristic
86C4×C11×C22⋊C4C2211yescharacteristic
87C4×C11×C22⋊C4C2211yescharacteristic
88#10622843C2211yescharacteristic
89#10622843C2211yescharacteristic
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622834C2211yescharacteristic
93#10622834C2211yescharacteristic
94#10622834C2211yescharacteristic
95#10622833C2211yescharacteristic
96#10622833C2211yescharacteristic
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic
99#10622833C2211yescharacteristic
100#10622833C2211yescharacteristic
101C4×C22⋊Dic11C2211yescharacteristic
102C4×C22⋊Dic11C2211yescharacteristic
103C4×C22⋊Dic11C2211yescharacteristic
104C4×C22⋊Dic11C2211yescharacteristic
105C4×C22⋊Dic11C2211yescharacteristic
106#10622604C2211yescharacteristic
107#10622603C2211yescharacteristic
108#10622603C2211yescharacteristic
109#10622600C2211yescharacteristic
110#10622592C2211yescharacteristic
111C4⋊C4×Dic11C2211yescharacteristic
112C4⋊C4×Dic11C2211yescharacteristic
113#10622586C2211yescharacteristic
114#10622585C2211yescharacteristic
115#10622585C2211yescharacteristic
116#10622574C2211yescharacteristic
117#10622574C2211yescharacteristic
118#10622574C2211yescharacteristic
119#10622573C2211yescharacteristic
120#10622572C2211yescharacteristic
121#10622572C2211yescharacteristic
122#10622572C2211yescharacteristic
123#10622571C2211yescharacteristic
124#10622571C2211yescharacteristic
125#10622570C2211yescharacteristic
126#10622570C2211yescharacteristic
127#10622570C2211yescharacteristic
128#10622570C2211yescharacteristic
129#10622570C2211yescharacteristic
130#10622569C2211yescharacteristic
131#10622569C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622569C2211yescharacteristic
134#10622566C2211yescharacteristic
135#10622566C2211yescharacteristic
136#10622565C2211yescharacteristic
137#10622564C2211yescharacteristic
138#10622563C2211yescharacteristic
139#10622562C2211yescharacteristic
140#10622560C2211yescharacteristic
141#10622559C2211yescharacteristic
142#10622558C2211yescharacteristic
143#10622558C2211yescharacteristic
144#10622557C2211yescharacteristic
145#10622557C2211yescharacteristic
146#10622557C2211yescharacteristic
147#10622555C2211yescharacteristic
148#10622555C2211yescharacteristic
149#10622555C2211yescharacteristic
150C22⋊C4×Dic11C2211yescharacteristic
151C22⋊C4×Dic11C2211yescharacteristic
152C22⋊C4×Dic11C2211yescharacteristic
153C22⋊C4×Dic11C2211yescharacteristic
154C22⋊C4×Dic11C2211yescharacteristic
155C22⋊C4×Dic11C2211yescharacteristic
156C4×(C2×D11)⋊C4C2211yescharacteristic
157C4×(C2×D11)⋊C4C2211yescharacteristic
158C4×(C2×D11)⋊C4C2211yescharacteristic
159C4×(C2×D11)⋊C4C2211yescharacteristic
160C4×C4⋊Dic11C2211yescharacteristic
161C4×C4⋊Dic11C2211yescharacteristic
162C4×Dic11⋊C4C2211yescharacteristic
163C4×Dic11⋊C4C2211yescharacteristic
164C42×Dic11C2211yescharacteristic
165#10622290C2211yescharacteristic
166#10622288C2211yescharacteristic
167#10622287C2211yescharacteristic
168#10622287C2211yescharacteristic
169#10622283C2211yescharacteristic
170#10622282C2211yescharacteristic
171#10622279C2211yescharacteristic
172#10622279C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622274C2211yescharacteristic
176#10622272C2211yescharacteristic
177#10622271C2211yescharacteristic
178#10622270C2211yescharacteristic
179#10622268C2211yescharacteristic
180#10622267C2211yescharacteristic
181#10622263C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189C2×C11×#41—24no—
190C2×C11×#41—24no—
191C2×C11×#41—42no—
192C22×Q8×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C2×#4339—24no—
218C2×#4339—24no—
219C2×#4339—42no—
220C22×D44C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×Dic22C2311yescharacteristic
226C22×Dic22C2311yescharacteristic
227C4×D4×C11—24no—
228C4×D4×C11—24no—
229C4×D4×C11—42no—
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266#67000—24no—
267#66997—24no—
268#66993—24no—
269#66992—24no—
270#66992—24no—
271#66992—24no—
272#66992—24no—
273#66992—24no—
274#66992—24no—
275#66992—24no—
276#66991—24no—
277#66989—24no—
278#66988—24no—
279D4×Dic11—24no—
280D4×Dic11—24no—
281C4×C22⋊D11—24no—
282C4×C22⋊D11—24no—
283C4×C22⋊D11—24no—
284C4×C22⋊D11—24no—
285C4×C22⋊D11—42no—
286C4×C22⋊D11D418yescomplemented
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303#66979—24no—
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×C4×Dic11—24no—
326C2×C4×Dic11—24no—
327C2×C4×Dic11—42no—
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346#66951—24no—
347#66942—24no—
348#66939—24no—
349#66938—24no—
350#66938—24no—
351(C22⋊D11)⋊C4—24no—
352(C22⋊D11)⋊C4—24no—
353#66932—24no—
354#66931—24no—
355#66931—24no—
356#66925—24no—
357C42×D11—42no—
358C4×Dic22—24no—
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364C11×#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#34889—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C11×#41—416no—
399C2×Q8×C11—22no—
400C2×Q8×C11—22no—
401C2×Q8×C11—41no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—22no—
429C22×C4×C11—22no—
430C22×C4×C11C2×D414yes—
431C22×C4×C11#4114yes—
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11C2×D414yes—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—22no—
470C22×Dic11—22no—
471C22×Dic11—22no—
472C22×Dic11—22no—
473C22×Dic11—22no—
474C22×Dic11—22no—
475C22×Dic11—22no—
476C22×Dic11—22no—
477C22×Dic11—22no—
478C22×Dic11—22no—
479C22×Dic11—22no—
480C22×Dic11—41no—
481C22×Dic11—41no—
482C22×Dic11—41no—
483C22×Dic11—41no—
484C22×Dic11—41no—
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499#4339—416no—
500C2×D44—22no—
501C2×D44—22no—
502C2×D44—41no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—22no—
510C2×C4×D11—22no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11C2×D414yes—
515C2×Dic22—22no—
516C2×Dic22—22no—
517C2×Dic22—22no—
518C2×Dic22—22no—
519C2×Dic22—22no—
520C2×Dic22—41no—
521C11×C4⋊C4—22no—
522C11×C4⋊C4—22no—
523C11×C4⋊C4—41no—
524C11×C22⋊C4—22no—
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—22no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4—41no—
535C11×C22⋊C4—41no—
536C42×C11—22no—
537C42×C11—22no—
538C42×C11—22no—
539C22⋊Dic11—22no—
540C22⋊Dic11—22no—
541C22⋊Dic11—22no—
542C22⋊Dic11—22no—
543C22⋊Dic11—22no—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—41no—
553C22⋊Dic11—41no—
554C22⋊Dic11—41no—
555C22⋊Dic11C2×D414yes—
556C22⋊Dic11#4114yescomplemented
557(C2×D11)⋊C4—22no—
558(C2×D11)⋊C4—22no—
559(C2×D11)⋊C4—22no—
560(C2×D11)⋊C4—22no—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—41no—
570(C2×D11)⋊C4—41no—
571(C2×D11)⋊C4—41no—
572(C2×D11)⋊C4C2×D414yes—
573C4⋊Dic11—22no—
574C4⋊Dic11—22no—
575C4⋊Dic11—22no—
576C4⋊Dic11—22no—
577C4⋊Dic11—22no—
578C4⋊Dic11—22no—
579C4⋊Dic11—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—22no—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—41no—
592Dic11⋊C4C2×D414yes—
593Dic11⋊C4#4114yescomplemented
594C4×Dic11—22no—
595C4×Dic11—22no—
596C4×Dic11—22no—
597C4×Dic11—22no—
598C4×Dic11—22no—
599C4×Dic11—22no—
600C4×Dic11—22no—
601C4×Dic11—22no—
602C4×Dic11—22no—
603C4×Dic11—22no—
604C4×Dic11—22no—
605C4×Dic11—41no—
606C4×Dic11—41no—
607C4×Dic11—41no—
608C4×Dic11—41no—
609C4×Dic11—41no—
610C4×Dic11C2×D414yes—
611C4×Dic11#4114yescomplemented
612C2×#532—111no—
613C2×#529—111no—
614#2559—111no—
615#2559—111no—
616#2557—111no—
617#2557—111no—
618#2550—111no—
619#2544—111no—
620#2540—111no—
621#2535—111no—
622#2521—111no—
623#2521—111no—
624#2492—111no—
625#2490—111no—
626#2464—111no—
627#2464—111no—
628#2428—111no—
629#2427—111no—
630#2395—111no—
631#2395—111no—
632#2388—111no—
633#2388D1111yescharacteristic, complemented
634C4×#124—111no—
635C4×C22⋊Q8—111no—
636C4×#121—111no—
637C4×#121—111no—
638C4×#121—111no—
639#2297—111no—
640#2297—111no—
641C42×D4—111no—
642C42×D4—111no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11C22×D412yes—
669C23×C11C2×#4112yes—
670C23×C11C2×#4112yes—
671C23×C11C2511yescharacteristic
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11C22×D412yes—
686Q8×C11—44no—
687D4×C11—28no—
688D4×C11—44no—
689D4×C11—44no—
690D4×C11—44no—
691D4×C11—44no—
692D4×C11—44no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—28no—
702C2×C4×C11—28no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—44no—
722C2×C4×C11—44no—
723C2×C4×C11C22×D412yes—
724C2×C4×C11C22×D412yes—
725C2×C4×C11C2×#4112yes—
726C2×C4×C11C2×#4112yes—
727C2×C4×C11C2×#4112yes—
728C2×C4×C11C2×#4112yes—
729C2×C4×C11H(5,𝔽2)12yes—
730C22⋊D11—28no—
731C22⋊D11—44no—
732C22⋊D11—44no—
733C22⋊D11—44no—
734C22⋊D11—44no—
735C22⋊D11—44no—
736C22⋊D11—44no—
737C22⋊D11—44no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—44no—
772C2×Dic11—44no—
773C2×Dic11—44no—
774C2×Dic11—44no—
775C2×Dic11—44no—
776C2×Dic11—44no—
777C2×Dic11C22×D412yes—
778C2×Dic11C22×D412yes—
779C2×Dic11C22×D412yes—
780C2×Dic11C2×#4112yes—
781C2×Dic11C2×#4112yes—
782C2×Dic11C2×#4112yes—
783C2×Dic11C2×#4112yes—
784C2×Dic11C2×#4112yes—
785C2×Dic11C2×#4112yes—
786D44—44no—
787C4×D11—28no—
788C4×D11—44no—
789C4×D11—44no—
790C4×D11—44no—
791Dic22—44no—
792Dic22—44no—
793C22×#41—111no—
794C22×#41C2×D1111yescharacteristic
795#532—228no—
796C2×C4⋊Q8—111no—
797C2×#127—111no—
798#529—228no—
799C2×#126—111no—
800C2×#126—111no—
801C2×#125—111no—
802C2×#124—111no—
803C2×#124—111no—
804C2×#124—111no—
805C2×#124—111no—
806C2×#123—111no—
807C2×#123—111no—
808C2×C22⋊Q8—111no—
809C2×C22⋊Q8—111no—
810C2×#121—111no—
811C2×#121—111no—
812C2×#121—111no—
813C2×#121—111no—
814C2×#121—111no—
815C2×#121—111no—
816C2×#121—111no—
817C2×#121—111no—
818C2×C4×Q8—111no—
819C2×C4×D4—111no—
820C2×C4×D4—111no—
821C2×C4×D4—111no—
822C2×C4×D4—111no—
823C2×C4×D4—111no—
824C2×C4×D4—111no—
825C2×C4×D4—111no—
826C2×C4×D4—111no—
827C2×C4×D4—111no—
828C2×C4×D4—111no—
829C2×C4×D4C2×D1111yescharacteristic
830C2×C4×D4C2×D1111yescharacteristic
831C2×C4×D4C2×D1111yescharacteristic
832C2×#117—111no—
833C2×#117—111no—
834C22×C42—111no—
835C22×C42—111no—
836C22×C42—111no—
837C22×C42—111no—
838#400—111no—
839#400—111no—
840#399—111no—
841#399—111no—
842#398—111no—
843#398—111no—
844#397—111no—
845#397—111no—
846#397—111no—
847#397—111no—
848#397—111no—
849#397—111no—
850#395—111no—
851#395C2×D1111yescharacteristic
852#394—111no—
853#394—111no—
854#394—111no—
855#394—111no—
856#394—111no—
857#394—111no—
858#394—111no—
859#394C2×D1111yescharacteristic
860#394C2×D1111yescharacteristic
861#394C2×D1111yescharacteristic
862#393—111no—
863#393C2×D1111yescharacteristic
864#392—111no—
865#392—111no—
866#392—111no—
867#392C2×D1111yescharacteristic
868#392C2×D1111yescharacteristic
869#392C2×D1111yescharacteristic
870#391—111no—
871#391—111no—
872#391—111no—
873#391—111no—
874#391—111no—
875#391—111no—
876#390—111no—
877#390—111no—
878#390—111no—
879#390—111no—
880#390—111no—
881#390—111no—
882#390—111no—
883#390—111no—
884#389—111no—
885#389—111no—
886#389—111no—
887#389—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#388—111no—
895#388—111no—
896#388—111no—
897#388—111no—
898#387—111no—
899#387—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#385—111no—
915#385—111no—
916#382—111no—
917#380—111no—
918#380—111no—
919#380—111no—
920#380—111no—
921C4×C4⋊C4—111no—
922C4×C4⋊C4—111no—
923C4×C4⋊C4—111no—
924C4×C4⋊C4—111no—
925C4×C4⋊C4—111no—
926C4×C4⋊C4—111no—
927C4×C4⋊C4—111no—
928C4×C4⋊C4—111no—
929C4×C22⋊C4—111no—
930C4×C22⋊C4—111no—
931C4×C22⋊C4—111no—
932C4×C22⋊C4—111no—
933C4×C22⋊C4—111no—
934C4×C22⋊C4—111no—
935C4×C22⋊C4—111no—
936C4×C22⋊C4—111no—
937C4×C22⋊C4—111no—
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4—111no—
946C4×C22⋊C4C2×D1111yescharacteristic
947C4×C22⋊C4C2×D1111yescharacteristic
948C4×C22⋊C4C2×D1111yescharacteristic
949C43—111no—
950C22×C11—22no—
951C22×C11—22no—
952C22×C11—22no—
953C22×C11—22no—
954C22×C11—22no—
955C22×C11—22no—
956C22×C11—22no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—41no—
960C22×C11—41no—
961C22×C11—41no—
962C22×C11—41no—
963C22×C11—41no—
964C22×C11—41no—
965C22×C11—41no—
966C22×C11—41no—
967C22×C11—41no—
968C22×C11—41no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11—41no—
974C22×C11—41no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11C23×D411yescharacteristic
979C22×C11C22×#4111yescharacteristic
980C22×C11C22×#4111yescharacteristic
981C22×C11C22×#4111yescharacteristic
982C22×C11C22×#4111yescharacteristic
983C22×C11C2×H(5,𝔽2)11yescharacteristic
984C22×C11#58511yescharacteristic
985C2×D11—22no—
986C2×D11—22no—
987C2×D11—22no—
988C2×D11—41no—
989C2×D11—41no—
990C2×D11—41no—
991C2×D11—41no—
992C2×D11—41no—
993C2×D11—41no—
994C2×D11—41no—
995C2×D11—41no—
996C2×D11—41no—
997C2×D11—41no—
998C2×D11—41no—
999C4×C11—22no—
1000C4×C11—22no—
1001C4×C11—22no—
1002C4×C11—22no—
1003C4×C11—41no—
1004C4×C11—41no—
1005C4×C11—41no—
1006C4×C11—41no—
1007C4×C11—41no—
1008C4×C11—41no—
1009C4×C11#54614yes—
1010Dic11—22no—
1011Dic11—22no—
1012Dic11—22no—
1013Dic11—22no—
1014Dic11—22no—
1015Dic11—22no—
1016Dic11—41no—
1017Dic11—41no—
1018Dic11—41no—
1019Dic11—41no—
1020Dic11—41no—
1021Dic11—41no—
1022Dic11—41no—
1023Dic11#53214yes—
1024C2×#41—24no—
1025C2×#41—24no—
1026C2×#41—42no—
1027C2×#41—224no—
1028C2×#41—224no—
1029C2×#41—442no—
1030C22×Q8—111no—
1031C22×Q8—111no—
1032C22×Q8C22×D1111yescharacteristic
1033C22×D4—111no—
1034C22×D4—111no—
1035C22×D4—111no—
1036C22×D4—111no—
1037C22×D4—111no—
1038C22×D4—111no—
1039C22×D4—111no—
1040C22×D4—111no—
1041C22×D4—111no—
1042C22×D4C22×D1111yescharacteristic
1043C22×D4C22×D1111yescharacteristic
1044C22×D4C22×D1111yescharacteristic
1045C22×D4C22×D1111yescharacteristic
1046C22×D4C22×D1111yescharacteristic
1047C22×D4C22×D1111yescharacteristic
1048C23×C4—111no—
1049C23×C4—111no—
1050C23×C4—111no—
1051C23×C4—111no—
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4C22×D1111yescharacteristic
1059C23×C4C22×D1111yescharacteristic
1060C23×C4C22×D1111yescharacteristic
1061C23×C4C22×D1111yescharacteristic
1062C4⋊Q8—224no—
1063#127—224no—
1064#126—224no—
1065#126—224no—
1066#125—224no—
1067#124—224no—
1068#124—224no—
1069#124—224no—
1070#124—224no—
1071#123—224no—
1072#123—224no—
1073C22⋊Q8—224no—
1074C22⋊Q8—224no—
1075#121—224no—
1076#121—224no—
1077#121—224no—
1078#121—224no—
1079#121—224no—
1080#121—224no—
1081#121—224no—
1082#121—224no—
1083C4×Q8—224no—
1084C4×D4—24no—
1085C4×D4—24no—
1086C4×D4—42no—
1087C4×D4—118no—
1088C4×D4—224no—
1089C4×D4—224no—
1090C4×D4—224no—
1091C4×D4—224no—
1092C4×D4—224no—
1093C4×D4—224no—
1094C4×D4—224no—
1095C4×D4—224no—
1096C4×D4—442no—
1097#117—224no—
1098#117—224no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—111no—
1112C2×C4⋊C4—111no—
1113C2×C4⋊C4—111no—
1114C2×C4⋊C4—111no—
1115C2×C4⋊C4—111no—
1116C2×C4⋊C4—111no—
1117C2×C4⋊C4—111no—
1118C2×C4⋊C4—111no—
1119C2×C4⋊C4—111no—
1120C2×C4⋊C4C22×D1111yescharacteristic
1121C2×C4⋊C4C22×D1111yescharacteristic
1122C2×C4⋊C4C22×D1111yescharacteristic
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4C22×D1111yescharacteristic
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
1160C2×C22⋊C4C22×D1111yescharacteristic
1161C2×C22⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C42—111no—
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42—111no—
1173C2×C42—111no—
1174C2×C42—111no—
1175C2×C42—111no—
1176C2×C42—111no—
1177C2×C42—111no—
1178C2×C42—111no—
1179C2×C42—111no—
1180C2×C42—111no—
1181C2×C42—111no—
1182C2×C42—111no—
1183C2×C42—111no—
1184C2×C42—111no—
1185C2×C42—111no—
1186C2×C42—111no—
1187C2×C42—224no—
1188C2×C42—224no—
1189C2×C42—442no—
1190C2×C42—442no—
1191C2×C42C22×D1111yescharacteristic
1192C2×C42C22×D1111yescharacteristic
1193C2×C42C22×D1111yescharacteristic
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95C22×D1111yescharacteristic
1221#95C22×D1111yescharacteristic
1222#95C22×D1111yescharacteristic
1223#95C22×D1111yescharacteristic
1224#95C22×D1111yescharacteristic
1225#95C22×D1111yescharacteristic
1226C2×C11—42no—
1227C2×C11—42no—
1228C2×C11—42no—
1229C2×C11—81no—
1230C2×C11C2×#53211yescharacteristic
1231C2×C11#344411yescharacteristic
1232C2×C11#346011yescharacteristic
1233C2×C11C2×#54611yescharacteristic
1234C2×C11D4×#4111yescharacteristic
1235C2×C11#348011yescharacteristic
1236C2×C11#348111yescharacteristic
1237D11—42no—
1238D11—81no—
1239C24—111no—
1240C24—111no—
1241C24C23×D1111yescharacteristic
1242C24C23×D1111yescharacteristic
1243C24C23×D1111yescharacteristic
1244C24C23×D1111yescharacteristic
1245#41—416no—
1246#41—4416no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—41no—
1250C2×Q8—222no—
1251C2×Q8—222no—
1252C2×Q8—222no—
1253C2×Q8—222no—
1254C2×Q8—222no—
1255C2×Q8—441no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—114no—
1275C2×D4—222no—
1276C2×D4—222no—
1277C2×D4—222no—
1278C2×D4—222no—
1279C2×D4—222no—
1280C2×D4—222no—
1281C2×D4—222no—
1282C2×D4—222no—
1283C2×D4—222no—
1284C2×D4—222no—
1285C2×D4—222no—
1286C2×D4—222no—
1287C2×D4—222no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—222no—
1291C2×D4—222no—
1292C2×D4—222no—
1293C2×D4—222no—
1294C2×D4—441no—
1295C2×D4—441no—
1296C2×D4—441no—
1297C2×D4—441no—
1298C2×D4—441no—
1299C2×D4—441no—
1300C2×D4—441no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—111no—
1312C22×C4—111no—
1313C22×C4—111no—
1314C22×C4—111no—
1315C22×C4—111no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—114no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—111no—
1323C22×C4—111no—
1324C22×C4—111no—
1325C22×C4—111no—
1326C22×C4—222no—
1327C22×C4—222no—
1328C22×C4—222no—
1329C22×C4—222no—
1330C22×C4—222no—
1331C22×C4—222no—
1332C22×C4—222no—
1333C22×C4—222no—
1334C22×C4—222no—
1335C22×C4—222no—
1336C22×C4—222no—
1337C22×C4—222no—
1338C22×C4—222no—
1339C22×C4—222no—
1340C22×C4—222no—
1341C22×C4—222no—
1342C22×C4—222no—
1343C22×C4—222no—
1344C22×C4—222no—
1345C22×C4—222no—
1346C22×C4—222no—
1347C22×C4—441no—
1348C22×C4—441no—
1349C22×C4—441no—
1350C22×C4—441no—
1351C22×C4—441no—
1352C22×C4—441no—
1353C22×C4—441no—
1354C22×C4—441no—
1355C22×C4D4×D1114yes—
1356C22×C4#434114yes—
1357C22×C4C23×D1111yescharacteristic
1358C22×C4C23×D1111yescharacteristic
1359C22×C4C23×D1111yescharacteristic
1360C22×C4C23×D1111yescharacteristic
1361C22×C4C23×D1111yescharacteristic
1362C22×C4C23×D1111yescharacteristic
1363C22×C4C23×D1111yescharacteristic
1364C22×C4C23×D1111yescharacteristic
1365C22×C4C23×D1111yescharacteristic
1366C22×C4C23×D1111yescharacteristic
1367C22×C4C23×D1111yescharacteristic
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—41no—
1371C4⋊C4—114no—
1372C4⋊C4—114no—
1373C4⋊C4—222no—
1374C4⋊C4—222no—
1375C4⋊C4—222no—
1376C4⋊C4—222no—
1377C4⋊C4—222no—
1378C4⋊C4—222no—
1379C4⋊C4—222no—
1380C4⋊C4—222no—
1381C4⋊C4—222no—
1382C4⋊C4—222no—
1383C4⋊C4—222no—
1384C4⋊C4—222no—
1385C4⋊C4—222no—
1386C4⋊C4—222no—
1387C4⋊C4—222no—
1388C4⋊C4—222no—
1389C4⋊C4—222no—
1390C4⋊C4—222no—
1391C4⋊C4—441no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—114no—
1405C22⋊C4—114no—
1406C22⋊C4—114no—
1407C22⋊C4—222no—
1408C22⋊C4—222no—
1409C22⋊C4—222no—
1410C22⋊C4—222no—
1411C22⋊C4—222no—
1412C22⋊C4—222no—
1413C22⋊C4—222no—
1414C22⋊C4—222no—
1415C22⋊C4—222no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—222no—
1421C22⋊C4—222no—
1422C22⋊C4—222no—
1423C22⋊C4—222no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—222no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—222no—
1432C22⋊C4—441no—
1433C22⋊C4—441no—
1434C22⋊C4—441no—
1435C22⋊C4—441no—
1436C22⋊C4—441no—
1437C22⋊C4—441no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—114no—
1442C42—114no—
1443C42—222no—
1444C42—222no—
1445C42—222no—
1446C42—222no—
1447C42—222no—
1448C42—222no—
1449C42—222no—
1450C42—222no—
1451C42—222no—
1452C42—222no—
1453C42—222no—
1454C42—441no—
1455C42—441no—
1456C42—441no—
1457C42—441no—
1458C42—441no—
1459C11#3488911yescharacteristic, complemented, Sylow
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—112no—
1486C23—221no—
1487C23—221no—
1488C23—221no—
1489C23—221no—
1490C23—221no—
1491C23—221no—
1492C23—221no—
1493C23—221no—
1494C23—221no—
1495C23—221no—
1496C23—221no—
1497C23—221no—
1498C23—221no—
1499C23C2×D4×D1112yes—
1500C23C2×#434112yes—
1501C23#41×D1112yes—
1502C23C24×D1111yescharacteristic
1503Q8—44no—
1504Q8—444no—
1505Q8—444no—
1506D4—28no—
1507D4—44no—
1508D4—44no—
1509D4—44no—
1510D4—44no—
1511D4—44no—
1512D4—228no—
1513D4—444no—
1514D4—444no—
1515D4—444no—
1516D4—444no—
1517D4—444no—
1518D4—444no—
1519D4—444no—
1520D4—444no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—28no—
1530C2×C4—28no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—44no—
1550C2×C4—44no—
1551C2×C4—112no—
1552C2×C4—112no—
1553C2×C4—112no—
1554C2×C4—112no—
1555C2×C4—112no—
1556C2×C4—112no—
1557C2×C4—112no—
1558C2×C4—112no—
1559C2×C4—112no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—228no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—444no—
1595C2×C4—444no—
1596C2×C4—444no—
1597C2×C4—444no—
1598C2×C4—444no—
1599C2×C4—444no—
1600C2×C4—444no—
1601C2×C4—444no—
1602C2×C4—444no—
1603C2×C4C2×D4×D1112yes—
1604C2×C4C2×D4×D1112yes—
1605C2×C4C2×#434112yes—
1606C2×C4C2×#434112yes—
1607C2×C4#6703712yes—
1608C2×C4#41×D1112yes—
1609C2×C4#41×D1112yes—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—222no—
1639C22—222no—
1640C22—222no—
1641C22—441no—
1642C22—441no—
1643C22—441no—
1644C22—441no—
1645C22—441no—
1646C22—441no—
1647C22—441no—
1648C22—441no—
1649C22—441no—
1650C22—441no—
1651C22—441no—
1652C22C22×D4×D1111yescharacteristic
1653C22C22×#434111yescharacteristic
1654C22C2×#6703711yescharacteristic
1655C22C2×#41×D1111yescharacteristic
1656C22C2×#41×D1111yescharacteristic
1657C22C2×#41×D1111yescharacteristic
1658C22#1062345311yescharacteristic
1659C4—22no—
1660C4—22no—
1661C4—22no—
1662C4—22no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—114no—
1670C4—222no—
1671C4—222no—
1672C4—222no—
1673C4—222no—
1674C4—222no—
1675C4—222no—
1676C4—441no—
1677C4—441no—
1678C4—441no—
1679C4—441no—
1680C4—441no—
1681C4—441no—
1682C4—441no—
1683C4#1062312214yes—
1684C2—42no—
1685C2—42no—
1686C2—42no—
1687C2—81no—
1688C2—442no—
1689C2—881no—
1690C2D11×#53211yescharacteristic
1691C2#1308190811yescharacteristic
1692C2#1308203011yescharacteristic
1693C2C2×#1062312211yescharacteristic
1694C2#1308209911yescharacteristic
1695C2#1308221311yescharacteristic
1696C2#1308221811yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2388C2
hypercenter#2388D11
hypocenterC11#34889
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2388

Complements

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

NH ≅ G/Ntype
1. C2×#10623363C2semidirect
2. C2×#10623069C2semidirect
3. #13073746C2semidirect
4. #13073738C2semidirect
5. #13073716C2semidirect
6. #13073708C2semidirect
7. #13073630C2semidirect
8. #13073582C2semidirect
9. #13073549C2semidirect
10. #13073512C2semidirect
11. #13073322C2semidirect
12. #13073320C2semidirect
13. #13072983C2semidirect
14. #13072961C2semidirect
15. #13072617C2semidirect
16. #13072615C2semidirect
17. #13072197C2semidirect
18. #13072186C2semidirect
19. #13071877C2semidirect
20. #13071876C2semidirect
21. #13071831C2semidirect
22. C4×#66938C2semidirect
23. C4×#66931C2semidirect
24. C4×#66992C2semidirect
25. C4×#66992C2semidirect
26. C4×#66991C2semidirect
27. #13071107C2semidirect
28. #13071102C2semidirect
29. C4×D4×Dic11C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2388C2semidirect
286. C4×C22⋊D11D4semidirect
556. C22⋊Dic11#41semidirect
593. Dic11⋊C4#41semidirect
611. C4×Dic11#41semidirect
633. #2388D11semidirect
1459. C11#34889semidirect

Maximal subgroups

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

subgroupindex
C2×#106233632
C2×#106230692
#130737462
#130737382
#130737162
#130737082
#130736302
#130735822
#130735492
#130735122
#130733222
#130733202
#130729832
#130729612
#130726172
#130726152
#130721972
#130721862
#130718772
#130718762
#130718312
C4×#669382
C4×#669312
C4×#669922
C4×#669912
#130711072
#130711022
C4×D4×Dic112
C4×(C22⋊D11)⋊C42
C11×#23882
#3488911