Finite Group Databasebeta

← #14960462

Subgroups — #14960462

Order 2816.

1484 conjugacy classes of subgroups.

The subgroup lattice has 1314 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076887C211yesmaximal, characteristic, complemented
2#13076841C211yesmaximal, characteristic, complemented
3#13076840C211yesmaximal, characteristic, complemented
4#13076838C211yesmaximal, characteristic, complemented
5#13076820C211yesmaximal, characteristic, complemented
6#13076818C211yesmaximal, characteristic, complemented
7#13076813C211yesmaximal, characteristic, complemented
8#13076809C211yesmaximal, characteristic, complemented
9#13076794C211yesmaximal, characteristic, complemented
10#13076793C211yesmaximal, characteristic, complemented
11#13076761C211yesmaximal, characteristic
12#13076760C211yesmaximal, characteristic
13#13076685C211yesmaximal, characteristic, complemented
14#13076672C211yesmaximal, characteristic
15#13076665C211yesmaximal, characteristic
16#13071919C211yesmaximal, characteristic, complemented
17#13071915C211yesmaximal, characteristic, complemented
18#13071913C211yesmaximal, characteristic, complemented
19#13071913C211yesmaximal, characteristic, complemented
20#13071908C211yesmaximal, characteristic, complemented
21#13071906C211yesmaximal, characteristic, complemented
22#13071891C211yesmaximal, characteristic, complemented
23#13071889C211yesmaximal, characteristic, complemented
24#13071887C211yesmaximal, characteristic, complemented
25#13071883C211yesmaximal, characteristic, complemented
26#13071881C211yesmaximal, characteristic
27#13071874C211yesmaximal, characteristic
28#13071175C211yesmaximal, characteristic, complemented
29#13071173C211yesmaximal, characteristic, complemented
30#13071157C211yesmaximal, characteristic
31C11×#2838C211yesmaximal, characteristic, complemented
32C2×Q8×Dic11C2211yescharacteristic
33C2×#66945C2211yescharacteristic
34C2×#66943C2211yescharacteristic
35C2×#66942C2211yescharacteristic
36C2×#66940C2211yescharacteristic
37C2×#66940C2211yescharacteristic
38C2×#66938C2211yescharacteristic
39C2×(C22⋊D11)⋊C4C2211yescharacteristic
40C2×#66930C2211yescharacteristic
41C11×#401C2211yescharacteristic
42C11×#400C2211yescharacteristic
43C11×#400C2211yescharacteristic
44C11×#399C2211yescharacteristic
45C11×#398C2211yescharacteristic
46C11×#397C2211yescharacteristic
47C11×#397C2211yescharacteristic
48C11×#397C2211yescharacteristic
49C11×#396C2211yescharacteristic
50C11×#395C2211yescharacteristic
51C11×#395C2211yescharacteristic
52C11×#393C2211yescharacteristic
53C11×#389C2211yescharacteristic
54C11×#388C2211yescharacteristic
55C11×#387C2211yescharacteristic
56#10622844C2211yescharacteristic
57#10622842C2211yescharacteristic
58#10622842C2211yescharacteristic
59#10622607C2211yescharacteristic
60#10622607C2211yescharacteristic
61#10622607C2211yescharacteristic
62#10622606C2211yescharacteristic
63#10622606C2211yescharacteristic
64#10622606C2211yescharacteristic
65#10622605C2211yescharacteristic
66#10622605C2211yescharacteristic
67#10622603C2211yescharacteristic
68#10622599C2211yescharacteristic
69#10622597C2211yescharacteristic
70#10622597C2211yescharacteristic
71#10622597C2211yescharacteristic
72#10622596C2211yescharacteristic
73#10622596C2211yescharacteristic
74#10622595C2211yescharacteristic
75#10622595C2211yescharacteristic
76#10622595C2211yescharacteristic
77#10622593C2211yescharacteristic
78#10622592C2211yescharacteristic
79#10622592C2211yescharacteristic
80#10622592C2211yescharacteristic
81#10622592C2211yescharacteristic
82#10622592C2211yescharacteristic
83#10622591C2211yescharacteristic
84#10622591C2211yescharacteristic
85#10622590C2211yescharacteristic
86C4⋊C4×Dic11C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93#10622585C2211yescharacteristic
94#10622574C2211yescharacteristic
95#10622574C2211yescharacteristic
96#10622574C2211yescharacteristic
97#10622572C2211yescharacteristic
98#10622570C2211yescharacteristic
99#10622566C2211yescharacteristic
100#10622565C2211yescharacteristic
101#10622565C2211yescharacteristic
102#10622565C2211yescharacteristic
103#10622565C2211yescharacteristic
104#10622565C2211yescharacteristic
105#10622562C2211yescharacteristic
106#10622562C2211yescharacteristic
107#10622561C2211yescharacteristic
108#10622561C2211yescharacteristic
109#10622561C2211yescharacteristic
110#10622561C2211yescharacteristic
111#10622561C2211yescharacteristic
112#10622560C2211yescharacteristic
113#10622558C2211yescharacteristic
114C22⋊C4×Dic11C2211yescharacteristic
115C22⋊C4×Dic11C2211yescharacteristic
116C22⋊C4×Dic11C2211yescharacteristic
117C22⋊C4×Dic11C2211yescharacteristic
118C22⋊C4×Dic11C2211yescharacteristic
119#10622553C2211yescharacteristic
120#10622546C2211yescharacteristic
121C42×Dic11C2211yescharacteristic
122#10622541C2211yescharacteristic
123#10622290C2211yescharacteristic
124#10622289C2211yescharacteristic
125#10622289C2211yescharacteristic
126#10622289C2211yescharacteristic
127#10622288C2211yescharacteristic
128#10622288C2211yescharacteristic
129#10622288C2211yescharacteristic
130#10622288C2211yescharacteristic
131#10622288C2211yescharacteristic
132#10622287C2211yescharacteristic
133#10622286C2211yescharacteristic
134#10622279C2211yescharacteristic
135#10622279C2211yescharacteristic
136#10622279C2211yescharacteristic
137#10622279C2211yescharacteristic
138#10622279C2211yescharacteristic
139C11⋊#401C2211yescharacteristic
140C11⋊#401C2211yescharacteristic
141C11⋊#401C2211yescharacteristic
142#10622274C2211yescharacteristic
143#10622274C2211yescharacteristic
144#10622274C2211yescharacteristic
145#10622274C2211yescharacteristic
146#10622273C2211yescharacteristic
147#10622273C2211yescharacteristic
148#10622273C2211yescharacteristic
149#10622272C2211yescharacteristic
150#10622272C2211yescharacteristic
151#10622271C2211yescharacteristic
152#10622271C2211yescharacteristic
153#10622271C2211yescharacteristic
154#10622271C2211yescharacteristic
155#10622271C2211yescharacteristic
156#10622271C2211yescharacteristic
157#10622271C2211yescharacteristic
158#10622270C2211yescharacteristic
159#10622270C2211yescharacteristic
160#10622270C2211yescharacteristic
161#10622270C2211yescharacteristic
162#10622270C2211yescharacteristic
163#10622270C2211yescharacteristic
164#10622270C2211yescharacteristic
165#10622269C2211yescharacteristic
166#10622269C2211yescharacteristic
167#10622269C2211yescharacteristic
168#10622268C2211yescharacteristic
169#10622267C2211yescharacteristic
170#10622266C2211yescharacteristic
171#10622266C2211yescharacteristic
172#10622263C2211yescharacteristic
173#10622263C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622261C2211yescharacteristic
184#10622261C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C22×C22⋊D11C2311yescharacteristic
189C23×Dic11C2311yescharacteristic
190C22×C4×D11C2311yescharacteristic
191C22×Dic22C2311yescharacteristic
192C22×Dic22C2311yescharacteristic
193C2×C11×C4⋊C4C2311yescharacteristic
194C2×C11×C4⋊C4C2311yescharacteristic
195C2×C11×C4⋊C4C2311yescharacteristic
196C2×C11×C4⋊C4C2311yescharacteristic
197C2×C11×C4⋊C4C2311yescharacteristic
198C2×C11×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C22⋊C4C2311yescharacteristic
204C2×C11×C22⋊C4C2311yescharacteristic
205C2×C11×C22⋊C4C2311yescharacteristic
206C2×C11×C22⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C42×C11C2311yescharacteristic
211C2×C22⋊Dic11C2311yescharacteristic
212C2×C22⋊Dic11C2311yescharacteristic
213C2×C22⋊Dic11C2311yescharacteristic
214C2×C22⋊Dic11C2311yescharacteristic
215C2×C22⋊Dic11C2311yescharacteristic
216C2×C22⋊Dic11C2311yescharacteristic
217Q8×Dic11—42no—
218C2×(C2×D11)⋊C4C2311yescharacteristic
219C2×(C2×D11)⋊C4C2311yescharacteristic
220C2×(C2×D11)⋊C4C2311yescharacteristic
221C2×(C2×D11)⋊C4C2311yescharacteristic
222C2×(C2×D11)⋊C4C2311yescharacteristic
223C2×(C2×D11)⋊C4C2311yescharacteristic
224C2×(C2×D11)⋊C4C2311yescharacteristic
225C2×(C2×D11)⋊C4C2311yescharacteristic
226C2×(C2×D11)⋊C4C2311yescharacteristic
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×C4⋊Dic11C2311yescharacteristic
232C2×C4⋊Dic11C2311yescharacteristic
233C2×C4⋊Dic11C2311yescharacteristic
234C2×C4⋊Dic11C2311yescharacteristic
235C2×C4⋊Dic11C2311yescharacteristic
236C2×C4⋊Dic11C2311yescharacteristic
237C2×C4⋊Dic11C2311yescharacteristic
238C2×C4⋊Dic11C2311yescharacteristic
239C2×C4⋊Dic11C2311yescharacteristic
240C2×C4⋊Dic11C2311yescharacteristic
241C2×C4⋊Dic11C2311yescharacteristic
242C2×Dic11⋊C4C2311yescharacteristic
243C2×Dic11⋊C4C2311yescharacteristic
244C2×Dic11⋊C4C2311yescharacteristic
245C2×Dic11⋊C4C2311yescharacteristic
246C2×Dic11⋊C4C2311yescharacteristic
247C2×Dic11⋊C4C2311yescharacteristic
248C2×Dic11⋊C4C2311yescharacteristic
249C2×Dic11⋊C4C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×C4×Dic11C2311yescharacteristic
268C2×C4×Dic11C2311yescharacteristic
269C2×C4×Dic11C2311yescharacteristic
270C2×C4×Dic11C2311yescharacteristic
271C2×C4×Dic11C2311yescharacteristic
272C2×C4×Dic11C2311yescharacteristic
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283#66945—42no—
284#66943—24no—
285#66942—24no—
286#66940—42no—
287#66940—42no—
288#66938—24no—
289(C22⋊D11)⋊C4—42no—
290#66930—42no—
291C11×#95C2311yescharacteristic
292C11×#95C2311yescharacteristic
293C11×#95C2311yescharacteristic
294C11×#95C2311yescharacteristic
295C11×#95C2311yescharacteristic
296C11×#95C2311yescharacteristic
297C11×#95C2311yescharacteristic
298C11×#95C2311yescharacteristic
299C11×#95C2311yescharacteristic
300C11×#95C2311yescharacteristic
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11⋊#95C2311yescharacteristic
308C11⋊#95C2311yescharacteristic
309C11⋊#95C2311yescharacteristic
310C11⋊#95C2311yescharacteristic
311C11⋊#95C2311yescharacteristic
312C11⋊#95C2311yescharacteristic
313C11⋊#95C2311yescharacteristic
314C11⋊#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351#36698—111nomaximal, Sylow
352C24×C11C2411yescharacteristic
353C23×D11C2411yescharacteristic
354C2×Q8×C11—41no—
355C2×Q8×C11—41no—
356C2×Q8×C11—41no—
357C22×C4×C11C2411yescharacteristic
358C22×C4×C11C2411yescharacteristic
359C22×C4×C11C2411yescharacteristic
360C22×C4×C11C2411yescharacteristic
361C22×C4×C11C2411yescharacteristic
362C22×C4×C11C2411yescharacteristic
363C22×C4×C11C2411yescharacteristic
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C2×C22⋊D11—22no—
372C2×C22⋊D11—41no—
373C2×C22⋊D11—41no—
374C22×Dic11—22no—
375C22×Dic11—22no—
376C22×Dic11—22no—
377C22×Dic11C2411yescharacteristic
378C22×Dic11C2411yescharacteristic
379C22×Dic11C2411yescharacteristic
380C22×Dic11C2411yescharacteristic
381C22×Dic11C2411yescharacteristic
382C22×Dic11C2411yescharacteristic
383C22×Dic11C2411yescharacteristic
384C22×Dic11C2411yescharacteristic
385C22×Dic11C2411yescharacteristic
386C22×Dic11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C2×C4×D11—22no—
393C2×C4×D11—22no—
394C2×C4×D11—22no—
395C2×Dic22—22no—
396C2×Dic22—41no—
397C2×Dic22—41no—
398C2×Dic22—41no—
399C2×Dic22—41no—
400C2×Dic22—41no—
401C11×C4⋊C4—22no—
402C11×C4⋊C4—22no—
403C11×C4⋊C4—41no—
404C11×C4⋊C4—41no—
405C11×C4⋊C4—41no—
406C11×C4⋊C4—41no—
407C11×C4⋊C4—41no—
408C11×C4⋊C4—41no—
409C11×C4⋊C4—41no—
410C11×C4⋊C4—41no—
411C11×C22⋊C4—22no—
412C11×C22⋊C4—41no—
413C11×C22⋊C4—41no—
414C11×C22⋊C4—41no—
415C11×C22⋊C4—41no—
416C11×C22⋊C4—41no—
417C11×C22⋊C4—41no—
418C42×C11—41no—
419C22⋊Dic11—22no—
420C22⋊Dic11—41no—
421C22⋊Dic11—41no—
422C22⋊Dic11—41no—
423C22⋊Dic11—41no—
424C22⋊Dic11—41no—
425(C2×D11)⋊C4—22no—
426(C2×D11)⋊C4—22no—
427(C2×D11)⋊C4—41no—
428(C2×D11)⋊C4—41no—
429(C2×D11)⋊C4—41no—
430(C2×D11)⋊C4—41no—
431(C2×D11)⋊C4—41no—
432(C2×D11)⋊C4—41no—
433(C2×D11)⋊C4—41no—
434(C2×D11)⋊C4—41no—
435(C2×D11)⋊C4—41no—
436(C2×D11)⋊C4—41no—
437(C2×D11)⋊C4—41no—
438C4⋊Dic11—22no—
439C4⋊Dic11—22no—
440C4⋊Dic11—22no—
441C4⋊Dic11—22no—
442C4⋊Dic11—41no—
443C4⋊Dic11—41no—
444C4⋊Dic11—41no—
445C4⋊Dic11—41no—
446C4⋊Dic11—41no—
447C4⋊Dic11—41no—
448C4⋊Dic11—41no—
449Dic11⋊C4—22no—
450Dic11⋊C4—22no—
451Dic11⋊C4—22no—
452Dic11⋊C4—22no—
453Dic11⋊C4—22no—
454Dic11⋊C4—22no—
455Dic11⋊C4—41no—
456Dic11⋊C4—41no—
457Dic11⋊C4—41no—
458Dic11⋊C4—41no—
459Dic11⋊C4—41no—
460Dic11⋊C4—41no—
461Dic11⋊C4—41no—
462Dic11⋊C4—41no—
463Dic11⋊C4—41no—
464Dic11⋊C4—41no—
465Dic11⋊C4—41no—
466Dic11⋊C4—41no—
467Dic11⋊C4—41no—
468Dic11⋊C4—41no—
469Dic11⋊C4—41no—
470Dic11⋊C4—41no—
471Dic11⋊C4—41no—
472Dic11⋊C4—41no—
473Dic11⋊C4—41no—
474C4×Dic11—22no—
475C4×Dic11—22no—
476C4×Dic11—22no—
477C4×Dic11—22no—
478C4×Dic11—22no—
479C4×Dic11—22no—
480C4×Dic11—22no—
481C4×Dic11—22no—
482C4×Dic11—22no—
483C4×Dic11—22no—
484C4×Dic11—22no—
485C4×Dic11—22no—
486C4×Dic11—22no—
487C4×Dic11—41no—
488C4×Dic11—41no—
489C4×Dic11#4114yes—
490#2844—111no—
491#2838—111no—
492#2838—111no—
493#2838—111no—
494#2838D1111yescharacteristic, complemented
495#2836—111no—
496#2836—111no—
497#2836—111no—
498#2836—111no—
499#2833—111no—
500#2833—111no—
501#2830—111no—
502#2830—111no—
503#2822—111no—
504#2820—111no—
505#2820—111no—
506#2401—111no—
507#2401—111no—
508#2401—111no—
509#2401—111no—
510#2399—111no—
511#2399—111no—
512#2396—111no—
513#2396—111no—
514#2396—111no—
515#2396—111no—
516#2395—111no—
517#2395—111no—
518C4×#125—111no—
519C4×#125—111no—
520C4×#124—111no—
521C23×C11—21no—
522C23×C11—21no—
523C23×C11—21no—
524C23×C11—21no—
525C23×C11—21no—
526C23×C11—21no—
527C23×C11—21no—
528C23×C11C2511yescharacteristic
529C22×D11—21no—
530C22×D11—21no—
531C22×D11—21no—
532C22×D11—21no—
533C22×D11—21no—
534C22×D11—21no—
535C22×D11—21no—
536Q8×C11—44no—
537C2×C4×C11—21no—
538C2×C4×C11—21no—
539C2×C4×C11—21no—
540C2×C4×C11—21no—
541C2×C4×C11—21no—
542C2×C4×C11—21no—
543C2×C4×C11—21no—
544C2×C4×C11—21no—
545C2×C4×C11—21no—
546C2×C4×C11—21no—
547C2×C4×C11—21no—
548C2×C4×C11—21no—
549C2×C4×C11—21no—
550C2×C4×C11—21no—
551C2×C4×C11—21no—
552C2×C4×C11—21no—
553C2×C4×C11—21no—
554C2×C4×C11—21no—
555C2×C4×C11—21no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11—21no—
560C2×C4×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—21no—
563C2×C4×C11—21no—
564C2×C4×C11—21no—
565C2×C4×C11—21no—
566C2×C4×C11—21no—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11C2×#4112yes—
579C22⋊D11—44no—
580C2×Dic11—21no—
581C2×Dic11—21no—
582C2×Dic11—21no—
583C2×Dic11—21no—
584C2×Dic11—21no—
585C2×Dic11—21no—
586C2×Dic11—21no—
587C2×Dic11—21no—
588C2×Dic11—21no—
589C2×Dic11—21no—
590C2×Dic11—21no—
591C2×Dic11—21no—
592C2×Dic11—21no—
593C2×Dic11—21no—
594C2×Dic11—21no—
595C2×Dic11—21no—
596C2×Dic11—21no—
597C2×Dic11—21no—
598C2×Dic11—21no—
599C2×Dic11—21no—
600C2×Dic11—21no—
601C2×Dic11—21no—
602C2×Dic11—21no—
603C2×Dic11—21no—
604C2×Dic11—21no—
605C2×Dic11—21no—
606C2×Dic11—21no—
607C2×Dic11—21no—
608C2×Dic11—21no—
609C2×Dic11—21no—
610C2×Dic11—21no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—44no—
621C2×Dic11C2×#4112yes—
622C2×Dic11C2×#4112yes—
623C2×Dic11H(5,𝔽2)12yes—
624C2×Dic112−1+412yes—
625C2×Dic112−1+412yes—
626C4×D11—44no—
627Dic22—44no—
628Dic22—44no—
629C2×#125—111no—
630C2×#125—111no—
631C2×#124—111no—
632C2×C4×Q8—111no—
633C2×C4×Q8—111no—
634C2×C4×Q8—111no—
635C2×C4×D4—111no—
636C2×#117—111no—
637C2×#117—111no—
638#401—111no—
639#401—111no—
640#401—111no—
641#401C2×D1111yescharacteristic
642#400—111no—
643#400—111no—
644#400—111no—
645#400—111no—
646#400—111no—
647#400—111no—
648#400—111no—
649#400—111no—
650#400—111no—
651#400—111no—
652#400—111no—
653#400—111no—
654#400—111no—
655#400—111no—
656#400—111no—
657#400—111no—
658#400C2×D1111yescharacteristic
659#400C2×D1111yescharacteristic
660#399—111no—
661#399—111no—
662#399—111no—
663#399—111no—
664#399—111no—
665#399C2×D1111yescharacteristic
666#398—111no—
667#398—111no—
668#398—111no—
669#398—111no—
670#398—111no—
671#398—111no—
672#398—111no—
673#398—111no—
674#398—111no—
675#398—111no—
676#398—111no—
677#398—111no—
678#398—111no—
679#398—111no—
680#398—111no—
681#398—111no—
682#398—111no—
683#398C2×D1111yescharacteristic
684#397—111no—
685#397—111no—
686#397—111no—
687#397—111no—
688#397—111no—
689#397—111no—
690#397—111no—
691#397—111no—
692#397—111no—
693#397—111no—
694#397—111no—
695#397—111no—
696#397—111no—
697#397—111no—
698#397—111no—
699#397C2×D1111yescharacteristic
700#397C2×D1111yescharacteristic
701#397C2×D1111yescharacteristic
702#396—111no—
703#396—111no—
704#396—111no—
705#396—111no—
706#396—111no—
707#396—111no—
708#396—111no—
709#396—111no—
710#396—111no—
711#396—111no—
712#396—111no—
713#396C2×D1111yescharacteristic
714#395—111no—
715#395—111no—
716#395—111no—
717#395—111no—
718#395—111no—
719#395—111no—
720#395—111no—
721#395—111no—
722#395—111no—
723#395—111no—
724#395C2×D1111yescharacteristic
725#395C2×D1111yescharacteristic
726#394—111no—
727#394—111no—
728#394—111no—
729#394—111no—
730#393—111no—
731#393—111no—
732#393—111no—
733#393C2×D1111yescharacteristic
734#391—111no—
735#390—111no—
736#389—111no—
737#389—111no—
738#389—111no—
739#389C2×D1111yescharacteristic
740#388—111no—
741#388—111no—
742#388—111no—
743#388C2×D1111yescharacteristic
744#387—111no—
745#387—111no—
746#387—111no—
747#387—111no—
748#387—111no—
749#387—111no—
750#387—111no—
751#387C2×D1111yescharacteristic
752#382—111no—
753#382—111no—
754#382—111no—
755C4×C4⋊C4—111no—
756C4×C4⋊C4—111no—
757C4×C4⋊C4—111no—
758C4×C4⋊C4—111no—
759C4×C4⋊C4—111no—
760C4×C4⋊C4—111no—
761C4×C4⋊C4—111no—
762C4×C4⋊C4—111no—
763C4×C4⋊C4—111no—
764C4×C4⋊C4—111no—
765C4×C4⋊C4—111no—
766C4×C4⋊C4—111no—
767C4×C4⋊C4—111no—
768C4×C4⋊C4—111no—
769C4×C4⋊C4—111no—
770C4×C4⋊C4—111no—
771C4×C22⋊C4—111no—
772C4×C22⋊C4—111no—
773C4×C22⋊C4—111no—
774C4×C22⋊C4—111no—
775C4×C22⋊C4—111no—
776C4×C22⋊C4—111no—
777C4×C22⋊C4—111no—
778C4×C22⋊C4—111no—
779C4×C22⋊C4—111no—
780C4×C22⋊C4—111no—
781#376—111no—
782#376—111no—
783C43—111no—
784C22×C11—41no—
785C22×C11—41no—
786C22×C11—41no—
787C22×C11—41no—
788C22×C11—41no—
789C22×C11—41no—
790C22×C11—41no—
791C22×C11C22×#4111yescharacteristic
792C22×C11C2×H(5,𝔽2)11yescharacteristic
793C22×C11C2×2−1+411yescharacteristic
794C22×C11C2×2−1+411yescharacteristic
795C22×C11#58511yescharacteristic
796C22×C11#58511yescharacteristic
797C22×C11#58511yescharacteristic
798C2×D11—41no—
799C2×D11—41no—
800C2×D11—41no—
801C2×D11—41no—
802C2×D11—41no—
803C2×D11—41no—
804C2×D11—41no—
805C4×C11—22no—
806C4×C11—41no—
807C4×C11—41no—
808C4×C11—41no—
809C4×C11—41no—
810C4×C11—41no—
811C4×C11—41no—
812C4×C11—41no—
813C4×C11—41no—
814C4×C11—41no—
815C4×C11—41no—
816C4×C11—41no—
817C4×C11—41no—
818C4×C11—41no—
819Dic11—22no—
820Dic11—22no—
821Dic11—41no—
822Dic11—41no—
823Dic11—41no—
824Dic11—41no—
825Dic11—41no—
826Dic11—41no—
827Dic11—41no—
828Dic11—41no—
829Dic11—41no—
830Dic11—41no—
831Dic11—41no—
832Dic11—41no—
833Dic11#56314yes—
834C22×Q8—111no—
835C22×Q8—111no—
836C22×Q8C22×D1111yescharacteristic
837C22×D4—111no—
838C23×C4—111no—
839C23×C4—111no—
840#125—224no—
841#125—224no—
842#124—224no—
843C4×Q8—442no—
844C4×Q8—442no—
845C4×Q8—442no—
846C4×D4—442no—
847#117—442no—
848#117—442no—
849C2×C4⋊C4—111no—
850C2×C4⋊C4—111no—
851C2×C4⋊C4—111no—
852C2×C4⋊C4—111no—
853C2×C4⋊C4—111no—
854C2×C4⋊C4—111no—
855C2×C4⋊C4—111no—
856C2×C4⋊C4—111no—
857C2×C4⋊C4—111no—
858C2×C4⋊C4—111no—
859C2×C4⋊C4—111no—
860C2×C4⋊C4—111no—
861C2×C4⋊C4—111no—
862C2×C4⋊C4—111no—
863C2×C4⋊C4—111no—
864C2×C4⋊C4—111no—
865C2×C4⋊C4—111no—
866C2×C4⋊C4—111no—
867C2×C4⋊C4—111no—
868C2×C4⋊C4—111no—
869C2×C4⋊C4—111no—
870C2×C4⋊C4—111no—
871C2×C4⋊C4—111no—
872C2×C4⋊C4—111no—
873C2×C4⋊C4—111no—
874C2×C4⋊C4—111no—
875C2×C4⋊C4—111no—
876C2×C4⋊C4—111no—
877C2×C4⋊C4—111no—
878C2×C4⋊C4—111no—
879C2×C4⋊C4—111no—
880C2×C4⋊C4—111no—
881C2×C4⋊C4—111no—
882C2×C4⋊C4—111no—
883C2×C4⋊C4—111no—
884C2×C4⋊C4—111no—
885C2×C4⋊C4C22×D1111yescharacteristic
886C2×C4⋊C4C22×D1111yescharacteristic
887C2×C4⋊C4C22×D1111yescharacteristic
888C2×C4⋊C4C22×D1111yescharacteristic
889C2×C4⋊C4C22×D1111yescharacteristic
890C2×C4⋊C4C22×D1111yescharacteristic
891C2×C4⋊C4C22×D1111yescharacteristic
892C2×C4⋊C4C22×D1111yescharacteristic
893C2×C4⋊C4C22×D1111yescharacteristic
894C2×C4⋊C4C22×D1111yescharacteristic
895C2×C22⋊C4—111no—
896C2×C22⋊C4—111no—
897C2×C22⋊C4—111no—
898C2×C22⋊C4—111no—
899C2×C22⋊C4—111no—
900C2×C22⋊C4—111no—
901C2×C22⋊C4—111no—
902C2×C22⋊C4—111no—
903C2×C22⋊C4—111no—
904C2×C22⋊C4—111no—
905C2×C22⋊C4—111no—
906C2×C22⋊C4—111no—
907C2×C22⋊C4—111no—
908C2×C22⋊C4—111no—
909C2×C22⋊C4—111no—
910C2×C22⋊C4—111no—
911C2×C22⋊C4—111no—
912C2×C22⋊C4—111no—
913C2×C22⋊C4—111no—
914C2×C22⋊C4C22×D1111yescharacteristic
915C2×C22⋊C4C22×D1111yescharacteristic
916C2×C22⋊C4C22×D1111yescharacteristic
917C2×C22⋊C4C22×D1111yescharacteristic
918C2×C22⋊C4C22×D1111yescharacteristic
919C2×C22⋊C4C22×D1111yescharacteristic
920C2×C22⋊C4C22×D1111yescharacteristic
921C2×C42—111no—
922C2×C42—111no—
923C2×C42—111no—
924C2×C42—111no—
925C2×C42—111no—
926C2×C42—111no—
927C2×C42—111no—
928C2×C42—111no—
929C2×C42—111no—
930C2×C42—111no—
931C2×C42—111no—
932C2×C42—111no—
933C2×C42—111no—
934C2×C42—111no—
935C2×C42—111no—
936C2×C42—111no—
937C2×C42C22×D1111yescharacteristic
938#95—111no—
939#95—111no—
940#95—111no—
941#95—111no—
942#95—111no—
943#95—111no—
944#95—111no—
945#95—111no—
946#95—111no—
947#95—111no—
948#95—111no—
949#95—111no—
950#95—111no—
951#95—111no—
952#95—111no—
953#95—111no—
954#95—111no—
955#95—111no—
956#95—111no—
957#95—111no—
958#95—111no—
959#95—111no—
960#95—111no—
961#95—111no—
962#95—111no—
963#95—111no—
964#95—111no—
965#95—111no—
966#95—111no—
967#95—111no—
968#95—111no—
969#95—111no—
970#95—111no—
971#95—111no—
972#95—111no—
973#95—111no—
974#95—111no—
975#95—111no—
976#95—111no—
977#95—111no—
978#95—111no—
979#95—111no—
980#95—111no—
981#95—111no—
982#95C22×D1111yescharacteristic
983#95C22×D1111yescharacteristic
984#95C22×D1111yescharacteristic
985#95C22×D1111yescharacteristic
986#95C22×D1111yescharacteristic
987#95C22×D1111yescharacteristic
988#95C22×D1111yescharacteristic
989#95C22×D1111yescharacteristic
990#95C22×D1111yescharacteristic
991#95C22×D1111yescharacteristic
992#95C22×D1111yescharacteristic
993#95C22×D1111yescharacteristic
994#95C22×D1111yescharacteristic
995#95C22×D1111yescharacteristic
996#95C22×D1111yescharacteristic
997#95C22×D1111yescharacteristic
998C2×C11—81no—
999C2×C11#346011yescharacteristic
1000C2×C11#346111yescharacteristic
1001C2×C11#346111yescharacteristic
1002C2×C11C2×#56311yescharacteristic
1003C2×C11#352911yescharacteristic
1004C2×C11#353111yescharacteristic
1005C2×C11#353111yescharacteristic
1006D11—81no—
1007C24—111no—
1008C24C23×D1111yescharacteristic
1009C2×Q8—41no—
1010C2×Q8—41no—
1011C2×Q8—41no—
1012C2×Q8—222no—
1013C2×Q8—441no—
1014C2×Q8—441no—
1015C2×Q8—441no—
1016C2×Q8—441no—
1017C2×Q8—441no—
1018C2×D4—222no—
1019C2×D4—441no—
1020C2×D4—441no—
1021C22×C4—111no—
1022C22×C4—111no—
1023C22×C4—111no—
1024C22×C4—111no—
1025C22×C4—111no—
1026C22×C4—111no—
1027C22×C4—111no—
1028C22×C4—111no—
1029C22×C4—111no—
1030C22×C4—111no—
1031C22×C4—111no—
1032C22×C4—111no—
1033C22×C4—111no—
1034C22×C4—111no—
1035C22×C4—111no—
1036C22×C4—222no—
1037C22×C4—222no—
1038C22×C4—222no—
1039C22×C4—222no—
1040C22×C4—222no—
1041C22×C4—222no—
1042C22×C4C23×D1111yescharacteristic
1043C22×C4C23×D1111yescharacteristic
1044C22×C4C23×D1111yescharacteristic
1045C22×C4C23×D1111yescharacteristic
1046C22×C4C23×D1111yescharacteristic
1047C22×C4C23×D1111yescharacteristic
1048C22×C4C23×D1111yescharacteristic
1049C22×C4C23×D1111yescharacteristic
1050C22×C4C23×D1111yescharacteristic
1051C22×C4C23×D1111yescharacteristic
1052C22×C4C23×D1111yescharacteristic
1053C22×C4C23×D1111yescharacteristic
1054C22×C4C23×D1111yescharacteristic
1055C22×C4C23×D1111yescharacteristic
1056C4⋊C4—22no—
1057C4⋊C4—22no—
1058C4⋊C4—41no—
1059C4⋊C4—41no—
1060C4⋊C4—41no—
1061C4⋊C4—41no—
1062C4⋊C4—41no—
1063C4⋊C4—41no—
1064C4⋊C4—41no—
1065C4⋊C4—41no—
1066C4⋊C4—222no—
1067C4⋊C4—222no—
1068C4⋊C4—222no—
1069C4⋊C4—222no—
1070C4⋊C4—222no—
1071C4⋊C4—222no—
1072C4⋊C4—222no—
1073C4⋊C4—222no—
1074C4⋊C4—222no—
1075C4⋊C4—222no—
1076C4⋊C4—441no—
1077C4⋊C4—441no—
1078C4⋊C4—441no—
1079C4⋊C4—441no—
1080C4⋊C4—441no—
1081C4⋊C4—441no—
1082C4⋊C4—441no—
1083C4⋊C4—441no—
1084C4⋊C4—441no—
1085C4⋊C4—441no—
1086C4⋊C4—441no—
1087C4⋊C4—441no—
1088C4⋊C4—441no—
1089C4⋊C4—441no—
1090C4⋊C4—441no—
1091C4⋊C4—441no—
1092C4⋊C4—441no—
1093C4⋊C4—441no—
1094C4⋊C4—441no—
1095C4⋊C4—441no—
1096C4⋊C4—441no—
1097C4⋊C4—441no—
1098C4⋊C4—441no—
1099C4⋊C4—441no—
1100C4⋊C4—441no—
1101C4⋊C4—441no—
1102C22⋊C4—22no—
1103C22⋊C4—41no—
1104C22⋊C4—41no—
1105C22⋊C4—41no—
1106C22⋊C4—41no—
1107C22⋊C4—41no—
1108C22⋊C4—41no—
1109C22⋊C4—222no—
1110C22⋊C4—222no—
1111C22⋊C4—222no—
1112C22⋊C4—441no—
1113C22⋊C4—441no—
1114C22⋊C4—441no—
1115C22⋊C4—441no—
1116C22⋊C4—441no—
1117C22⋊C4—441no—
1118C22⋊C4—441no—
1119C22⋊C4—441no—
1120C22⋊C4—441no—
1121C22⋊C4—441no—
1122C22⋊C4—441no—
1123C22⋊C4—441no—
1124C22⋊C4—441no—
1125C22⋊C4—441no—
1126C22⋊C4—441no—
1127C22⋊C4—441no—
1128C42—41no—
1129C42—114no—
1130C42—222no—
1131C42—222no—
1132C42—222no—
1133C42—222no—
1134C42—222no—
1135C42—222no—
1136C42—222no—
1137C42—222no—
1138C42—222no—
1139C42—222no—
1140C42—222no—
1141C42—222no—
1142C42—222no—
1143C42—441no—
1144C42—441no—
1145C11#3669811yescharacteristic, complemented, Sylow
1146C23—21no—
1147C23—21no—
1148C23—21no—
1149C23—21no—
1150C23—21no—
1151C23—21no—
1152C23—21no—
1153C23—221no—
1154C23—221no—
1155C23—221no—
1156C23—221no—
1157C23—221no—
1158C23—221no—
1159C23—221no—
1160C23C24×D1111yescharacteristic
1161Q8—44no—
1162Q8—444no—
1163Q8—444no—
1164D4—444no—
1165C2×C4—21no—
1166C2×C4—21no—
1167C2×C4—21no—
1168C2×C4—21no—
1169C2×C4—21no—
1170C2×C4—21no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—21no—
1175C2×C4—21no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—21no—
1179C2×C4—21no—
1180C2×C4—21no—
1181C2×C4—21no—
1182C2×C4—21no—
1183C2×C4—21no—
1184C2×C4—21no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—21no—
1189C2×C4—21no—
1190C2×C4—21no—
1191C2×C4—21no—
1192C2×C4—21no—
1193C2×C4—21no—
1194C2×C4—21no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—112no—
1207C2×C4—112no—
1208C2×C4—112no—
1209C2×C4—112no—
1210C2×C4—112no—
1211C2×C4—221no—
1212C2×C4—221no—
1213C2×C4—221no—
1214C2×C4—221no—
1215C2×C4—221no—
1216C2×C4—221no—
1217C2×C4—221no—
1218C2×C4—221no—
1219C2×C4—221no—
1220C2×C4—221no—
1221C2×C4—221no—
1222C2×C4—221no—
1223C2×C4—221no—
1224C2×C4—221no—
1225C2×C4—221no—
1226C2×C4—221no—
1227C2×C4—221no—
1228C2×C4—221no—
1229C2×C4—221no—
1230C2×C4—221no—
1231C2×C4—221no—
1232C2×C4—221no—
1233C2×C4—221no—
1234C2×C4—221no—
1235C2×C4—221no—
1236C2×C4—221no—
1237C2×C4—221no—
1238C2×C4—221no—
1239C2×C4—221no—
1240C2×C4—221no—
1241C2×C4—221no—
1242C2×C4—221no—
1243C2×C4—221no—
1244C2×C4—221no—
1245C2×C4—221no—
1246C2×C4—221no—
1247C2×C4—221no—
1248C2×C4—221no—
1249C2×C4—221no—
1250C2×C4—221no—
1251C2×C4—444no—
1252C2×C4—444no—
1253C2×C4#41×D1112yes—
1254C22—41no—
1255C22—41no—
1256C22—41no—
1257C22—41no—
1258C22—41no—
1259C22—41no—
1260C22—41no—
1261C22—441no—
1262C22—441no—
1263C22—441no—
1264C22—441no—
1265C22—441no—
1266C22—441no—
1267C22—441no—
1268C22C2×#41×D1111yescharacteristic
1269C22D11×H(5,𝔽2)11yescharacteristic
1270C22#1062345511yescharacteristic
1271C22#1062345511yescharacteristic
1272C22D11×2−1+411yescharacteristic
1273C22D11×2−1+411yescharacteristic
1274C22#1062345711yescharacteristic
1275C4—22no—
1276C4—41no—
1277C4—41no—
1278C4—41no—
1279C4—41no—
1280C4—41no—
1281C4—41no—
1282C4—41no—
1283C4—41no—
1284C4—41no—
1285C4—41no—
1286C4—41no—
1287C4—41no—
1288C4—41no—
1289C4—114no—
1290C4—222no—
1291C4—222no—
1292C4—441no—
1293C4—441no—
1294C4—441no—
1295C4—441no—
1296C4—441no—
1297C4—441no—
1298C4—441no—
1299C4—441no—
1300C4—441no—
1301C4—441no—
1302C4—441no—
1303C4—441no—
1304C2—81no—
1305C2—881no—
1306C2#1308203611yescharacteristic
1307C2#1308204211yescharacteristic
1308C2#1308204611yescharacteristic
1309C2D11×#56311yescharacteristic
1310C2#1308275111yescharacteristic
1311C2#1308276211yescharacteristic
1312C2#1308276211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2838C2
prime radicalC22×C22⋊D11C23
hypercenter#2838D11
hypocenterC11#36698
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2838

Complements

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

NH ≅ G/Ntype
1. #13076887C2semidirect
2. #13076841C2semidirect
3. #13076840C2semidirect
4. #13076838C2semidirect
5. #13076820C2semidirect
6. #13076818C2semidirect
7. #13076813C2semidirect
8. #13076809C2semidirect
9. #13076794C2semidirect
10. #13076793C2semidirect
13. #13076685C2semidirect
16. #13071919C2semidirect
17. #13071915C2semidirect
18. #13071913C2semidirect
19. #13071913C2semidirect
20. #13071908C2semidirect
21. #13071906C2semidirect
22. #13071891C2semidirect
23. #13071889C2semidirect
24. #13071887C2semidirect
25. #13071883C2semidirect
28. #13071175C2semidirect
29. #13071173C2semidirect
31. C11×#2838C2semidirect
494. #2838D11semidirect
1145. C11#36698semidirect

Maximal subgroups

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

subgroupindex
#130768872
#130768412
#130768402
#130768382
#130768202
#130768182
#130768132
#130768092
#130767942
#130767932
#130767612
#130767602
#130766852
#130766722
#130766652
#130719192
#130719152
#130719132
#130719082
#130719062
#130718912
#130718892
#130718872
#130718832
#130718812
#130718742
#130711752
#130711732
#130711572
C11×#28382
#3669811