Finite Group Databasebeta

← D11×#2361 #14913296

Subgroups — D11×#2361 #14913296

Order 2816.

4782 conjugacy classes of subgroups.

The subgroup lattice has 1334 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#121C211yesmaximal, characteristic
2C2×C4×D4×D11C211yesmaximal, characteristic, complemented
3C2×C4×D4×D11C212yesmaximal, complemented
4C22×C4⋊C4×D11C211yesmaximal, characteristic, complemented
5#13071637C211yesmaximal, characteristic, complemented
6#13071636C211yesmaximal, characteristic, complemented
7#13071635C212yesmaximal, complemented
8#13071634C211yesmaximal, characteristic, complemented
9#13071633C212yesmaximal, complemented
10#13071632C211yesmaximal, characteristic, complemented
11#13071631C211yesmaximal, characteristic, complemented
12#13071630C211yesmaximal, characteristic, complemented
13#13071629C212yesmaximal, complemented
14#13071628C211yesmaximal, characteristic, complemented
15#13071627C212yesmaximal, complemented
16D11×#390C211yesmaximal, characteristic, complemented
17D11×#389C211yesmaximal, characteristic, complemented
18D11×#388C212yesmaximal, complemented
19D11×#386C212yesmaximal, complemented
20D11×#385C212yesmaximal, complemented
21C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
22C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
23C11×#2361C211yesmaximal, characteristic, complemented
24C22×D4×D11C2212yes—
25C22×D4×D11C2211yescharacteristic
26C23×C4×D11C2212yes—
27C23×C4×D11C2212yes—
28C23×C4×D11C2211yescharacteristic
29C2×C11×#121C2211yescharacteristic
30C2×C4×D4×C11C2211yescharacteristic, complemented
31C2×C4×D4×C11C2212yescomplemented
32C22×C11×C4⋊C4C2211yescharacteristic, complemented
33C2×#66992C2212yes—
34C2×#66991C2211yescharacteristic
35C2×D4×Dic11C2212yescomplemented
36C2×D4×Dic11C2211yescharacteristic, complemented
37C2×#66983C2211yescharacteristic
38C2×C4×C22⋊D11C2212yescomplemented
39C2×C4×C22⋊D11C2212yescomplemented
40C2×C4×C22⋊D11C2212yescomplemented
41C22×C4⋊Dic11C2211yescharacteristic, complemented
42C22×Dic11⋊C4C2212yescomplemented
43D11×#121C4116yescomplemented
44C4×D4×D11—28no—
45C4×D4×D11—216no—
46C2×#66948C2211yescharacteristic
47C2×#66946C2212yescomplemented
48C2×#66946C2211yescharacteristic, complemented
49C2×C4⋊C4×D11—28no—
50C2×C4⋊C4×D11C2212yes—
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×C4⋊C4×D11C2212yes—
53C2×C4⋊C4×D11C2211yescharacteristic
54C2×C4⋊C4×D11C2211yescharacteristic
55C2×C4⋊C4×D11C2211yescharacteristic, complemented
56C2×C4⋊C4×D11C2212yescomplemented
57C2×C4⋊C4×D11C2211yescharacteristic, complemented
58C2×#66937C2212yes—
59C2×(C22⋊D11)⋊C4C2212yescomplemented
60C2×(C22⋊D11)⋊C4C2212yescomplemented
61C2×(C22⋊D11)⋊C4C2212yescomplemented
62C2×C22⋊C4×D11C2211yescharacteristic
63C2×C22⋊C4×D11C2212yes—
64C2×C22⋊C4×D11C2212yes—
65C2×C22⋊C4×D11C2212yes—
66C2×C22⋊C4×D11C2212yes—
67C2×C22⋊C4×D11C2211yescharacteristic
68C2×C4×D44C2212yescomplemented
69C2×C4×D44C2211yescharacteristic, complemented
70C2×C42×D11C2211yescharacteristic
71C2×C42×D11C2211yescharacteristic
72C2×C42×D11C2212yes—
73C11×#390C2211yescharacteristic, complemented
74C11×#389C2211yescharacteristic, complemented
75C11×#388C2212yescomplemented
76C11×#386C2212yescomplemented
77C11×#385C2212yescomplemented
78C4×C11×C4⋊C4C2211yescharacteristic, complemented
79C4×C11×C22⋊C4C2211yescharacteristic, complemented
80#10622834C2211yescharacteristic, complemented
81#10622833C2212yescomplemented
82#10622826C2212yescomplemented
83#10622823C2212yescomplemented
84C4×C22⋊Dic11C2211yescharacteristic, complemented
85#10622603C2212yescomplemented
86#10622602C2212yescomplemented
87#10622602C2212yescomplemented
88#10622601C2211yescharacteristic, complemented
89#10622598C2211yescharacteristic, complemented
90C4⋊C4×Dic11C2211yescharacteristic, complemented
91C4⋊C4×Dic11C2211yescharacteristic, complemented
92#10622586C2211yescharacteristic, complemented
93#10622585C2212yescomplemented
94#10622571C2212yescomplemented
95#10622570C2212yescomplemented
96#10622570C2212yescomplemented
97#10622569C2212yescomplemented
98#10622569C2212yescomplemented
99#10622564C2212yescomplemented
100#10622563C2212yescomplemented
101#10622559C2212yescomplemented
102#10622558C2212yescomplemented
103#10622557C2212yescomplemented
104C22⋊C4×Dic11C2211yescharacteristic, complemented
105C22⋊C4×Dic11C2211yescharacteristic, complemented
106#10622553C2212yescomplemented
107#10622552C2211yescharacteristic, complemented
108C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
109C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
110C4×C4⋊Dic11C2211yescharacteristic, complemented
111C4×Dic11⋊C4C2212yescomplemented
112#10622541C2211yescharacteristic, complemented
113#10622283C2212yescomplemented
114#10622282C2212yescomplemented
115#10622281C2212yescomplemented
116#10622281C2212yescomplemented
117#10622279C2211yescharacteristic, complemented
118#10622279C2211yescharacteristic, complemented
119#10622278C2212yescomplemented
120#10622278C2212yescomplemented
121D11×#95C2211yescharacteristic
122D11×#95C2211yescharacteristic
123D11×#95C2212yes—
124D11×#95C2212yes—
125#10622262C2212yescomplemented
126#10622260C2212yescomplemented
127C24×D11C2312yes—
128C24×D11C2311yescharacteristic
129C22×D4×C11C2311yescharacteristic
130C22×D4×C11C2312yes—
131C23×C4×C11C2312yes—
132C23×C4×C11C2312yes—
133C23×C4×C11C2311yescharacteristic
134C22×C22⋊D11C2312yes—
135C22×C22⋊D11C2312yes—
136C22×C22⋊D11C2312yes—
137C23×Dic11C2312yes—
138C23×Dic11C2312yes—
139C23×Dic11C2311yescharacteristic
140C2×D4×D11—28no—
141C2×D4×D11—28no—
142C2×D4×D11—24no—
143C2×D4×D11—24no—
144C2×D4×D11C2×C4116yescomplemented
145C2×D4×D11C2×C418yescomplemented
146C22×D44C2312yes—
147C22×D44C2311yescharacteristic
148C22×C4×D11—24no—
149C22×C4×D11—24no—
150C22×C4×D11—28no—
151C22×C4×D11—28no—
152C22×C4×D11—28no—
153C22×C4×D11—28no—
154C22×C4×D11—44no—
155C22×C4×D11—44no—
156C22×C4×D11C2×C418yescomplemented
157C22×C4×D11C2311yescharacteristic
158C22×C4×D11C2311yescharacteristic
159C22×C4×D11C2312yes—
160C22×C4×D11C2312yes—
161C22×C4×D11C2312yes—
162C22×C4×D11C2312yes—
163C22×C4×D11C2312yes—
164C22×C4×D11C2312yes—
165C22×C4×D11C2311yescharacteristic
166C22×C4×D11C2311yescharacteristic
167C22×C4×D11C2311yescharacteristic
168C22×C4×D11C2311yescharacteristic
169C22×C4×D11C2312yes—
170C22×C4×D11C2311yescharacteristic
171C22×C4×D11C2311yescharacteristic
172C11×#121C2×C418yescomplemented
173C4×D4×C11—24no—
174C4×D4×C11—28no—
175C2×C11×C4⋊C4—24no—
176C2×C11×C4⋊C4C2311yescharacteristic
177C2×C11×C4⋊C4C2312yes—
178C2×C11×C4⋊C4C2312yes—
179C2×C11×C4⋊C4C2311yescharacteristic
180C2×C11×C4⋊C4C2311yescharacteristic
181C2×C11×C22⋊C4C2312yes—
182C2×C11×C22⋊C4C2312yes—
183C2×C11×C22⋊C4C2311yescharacteristic
184C2×C11×C22⋊C4C2312yes—
185C2×C11×C22⋊C4C2312yes—
186C2×C11×C22⋊C4C2311yescharacteristic
187C2×C42×C11C2311yescharacteristic
188C2×C42×C11C2312yes—
189C2×C42×C11C2311yescharacteristic
190C2×C22⋊Dic11C2312yes—
191C2×C22⋊Dic11C2312yes—
192C2×C22⋊Dic11C2311yescharacteristic
193C2×C22⋊Dic11C2312yes—
194C2×C22⋊Dic11C2312yes—
195C2×C22⋊Dic11C2311yescharacteristic
196#66992C2×C4116yescomplemented
197#66991C2×C418yescomplemented
198D4×Dic11—28no—
199D4×Dic11—24no—
200#66983C2×C418yescomplemented
201C4×C22⋊D11—28no—
202C4×C22⋊D11—28no—
203C4×C22⋊D11—28no—
204C2×(C2×D11)⋊C4C2312yes—
205C2×(C2×D11)⋊C4C2312yes—
206C2×(C2×D11)⋊C4C2312yes—
207C2×(C2×D11)⋊C4C2312yes—
208C2×(C2×D11)⋊C4C2311yescharacteristic
209C2×(C2×D11)⋊C4C2311yescharacteristic
210C2×(C2×D11)⋊C4C2312yes—
211C2×(C2×D11)⋊C4C2312yes—
212C2×(C2×D11)⋊C4C2312yes—
213C2×(C2×D11)⋊C4C2312yes—
214C2×(C2×D11)⋊C4C2311yescharacteristic
215C2×(C2×D11)⋊C4C2311yescharacteristic
216C2×C4⋊Dic11—24no—
217C2×C4⋊Dic11C2312yes—
218C2×C4⋊Dic11C2312yes—
219C2×C4⋊Dic11C2311yescharacteristic
220C2×C4⋊Dic11C2311yescharacteristic
221C2×C4⋊Dic11C2311yescharacteristic
222C2×Dic11⋊C4—28no—
223C2×Dic11⋊C4C2312yes—
224C2×Dic11⋊C4C2312yes—
225C2×Dic11⋊C4C2312yes—
226C2×Dic11⋊C4C2312yes—
227C2×Dic11⋊C4C2312yes—
228C2×Dic11⋊C4C2312yes—
229C2×Dic11⋊C4C2312yes—
230C2×C4×Dic11C2311yescharacteristic
231C2×C4×Dic11C2312yes—
232C2×C4×Dic11C2311yescharacteristic
233C2×C4×Dic11C2312yes—
234C2×C4×Dic11C2312yes—
235C2×C4×Dic11C2311yescharacteristic
236C2×C4×Dic11C2311yescharacteristic
237C2×C4×Dic11C2311yescharacteristic
238C2×C4×Dic11C2311yescharacteristic
239#66948C2×C418yescomplemented
240#66946—24no—
241#66946—28no—
242C4⋊C4×D11—24no—
243C4⋊C4×D11—28no—
244C4⋊C4×D11—28no—
245C4⋊C4×D11—24no—
246C4⋊C4×D11—24no—
247C4⋊C4×D11—28no—
248C4⋊C4×D11C2×C418yescomplemented
249C4⋊C4×D11D418yescomplemented
250#66937C2×C4116yescomplemented
251(C22⋊D11)⋊C4—28no—
252(C22⋊D11)⋊C4—28no—
253(C22⋊D11)⋊C4—28no—
254C22⋊C4×D11—24no—
255C22⋊C4×D11—28no—
256C22⋊C4×D11—28no—
257C22⋊C4×D11—44no—
258C22⋊C4×D11C2×C4116yescomplemented
259C22⋊C4×D11D418yescomplemented
260C4×D44—28no—
261C4×D44—24no—
262C42×D11—24no—
263C42×D11—28no—
264C42×D11—24no—
265C11×#95C2312yes—
266C11×#95C2312yes—
267C11×#95C2311yescharacteristic
268C11×#95C2311yescharacteristic
269C11⋊#95C2312yes—
270C11⋊#95C2312yes—
271C11⋊#95C2312yes—
272C11⋊#95C2312yes—
273C11⋊#95C2311yescharacteristic
274C11⋊#95C2311yescharacteristic
275C11⋊#95C2311yescharacteristic
276C11⋊#95C2311yescharacteristic
277C11⋊#95C2312yes—
278C11⋊#95C2311yescharacteristic
279C11⋊#95C2311yescharacteristic
280C11⋊#95C2312yes—
281C2×#2361—111nomaximal, Sylow
282C24×C11C2412yes—
283C24×C11C2411yescharacteristic
284C23×D11—22no—
285C23×D11—22no—
286C23×D11—22no—
287C23×D11—22no—
288C23×D11—24no—
289C23×D11—24no—
290C23×D11—24no—
291C23×D11—24no—
292C23×D11—24no—
293C23×D11—24no—
294C23×D11C22×C418yes—
295C23×D11C22×C414yes—
296C23×D11C2×D414yes—
297C23×D11#4114yes—
298C23×D11C2412yes—
299C23×D11C2411yescharacteristic
300C23×D11C2411yescharacteristic
301C2×D4×C11—24no—
302C2×D4×C11—24no—
303C2×D4×C11—22no—
304C2×D4×C11—22no—
305C2×D4×C11C22×C414yescomplemented
306C2×D4×C11C22×C418yescomplemented
307C22×C4×C11—22no—
308C22×C4×C11—22no—
309C22×C4×C11—24no—
310C22×C4×C11—24no—
311C22×C4×C11—24no—
312C22×C4×C11—24no—
313C22×C4×C11—42no—
314C22×C4×C11—42no—
315C22×C4×C11C22×C414yescomplemented
316C22×C4×C11C2411yescharacteristic
317C22×C4×C11C2411yescharacteristic
318C22×C4×C11C2412yes—
319C22×C4×C11C2412yes—
320C22×C4×C11C2411yescharacteristic
321C22×C4×C11C2411yescharacteristic
322C22×C4×C11C2411yescharacteristic
323C22×C4×C11C2412yes—
324C22×C4×C11C2411yescharacteristic
325C2×C22⋊D11—24no—
326C2×C22⋊D11—24no—
327C2×C22⋊D11—24no—
328C2×C22⋊D11—24no—
329C2×C22⋊D11—24no—
330C2×C22⋊D11—24no—
331C2×C22⋊D11C22×C418yescomplemented
332C2×C22⋊D11C22×C418yescomplemented
333C2×C22⋊D11C22×C418yescomplemented
334C22×Dic11—22no—
335C22×Dic11—22no—
336C22×Dic11—24no—
337C22×Dic11—24no—
338C22×Dic11—24no—
339C22×Dic11—24no—
340C22×Dic11—42no—
341C22×Dic11—42no—
342C22×Dic11C22×C414yescomplemented
343C22×Dic11C2411yescharacteristic
344C22×Dic11C2411yescharacteristic
345C22×Dic11C2412yes—
346C22×Dic11C2412yes—
347C22×Dic11C2411yescharacteristic
348C22×Dic11C2411yescharacteristic
349C22×Dic11C2411yescharacteristic
350C22×Dic11C2412yes—
351C22×Dic11C2411yescharacteristic
352D4×D11—232no—
353D4×D11—264no—
354C2×D44—24no—
355C2×D44—24no—
356C2×D44—22no—
357C2×D44—22no—
358C2×D44C22×C418yescomplemented
359C2×D44C22×C414yescomplemented
360C2×C4×D11—22no—
361C2×C4×D11—22no—
362C2×C4×D11—232no—
363C2×C4×D11—24no—
364C2×C4×D11—24no—
365C2×C4×D11—24no—
366C2×C4×D11—24no—
367C2×C4×D11—24no—
368C2×C4×D11—22no—
369C2×C4×D11—22no—
370C2×C4×D11—22no—
371C2×C4×D11—24no—
372C2×C4×D11—24no—
373C2×C4×D11—24no—
374C2×C4×D11—24no—
375C2×C4×D11—22no—
376C2×C4×D11—22no—
377C2×C4×D11—24no—
378C2×C4×D11—22no—
379C2×C4×D11—22no—
380C2×C4×D11—22no—
381C2×C4×D11—24no—
382C2×C4×D11—22no—
383C2×C4×D11—22no—
384C2×C4×D11—24no—
385C2×C4×D11—22no—
386C2×C4×D11—22no—
387C2×C4×D11—22no—
388C2×C4×D11—24no—
389C2×C4×D11—24no—
390C2×C4×D11—24no—
391C2×C4×D11—22no—
392C2×C4×D11—42no—
393C2×C4×D11—42no—
394C2×C4×D11—42no—
395C2×C4×D11—42no—
396C2×C4×D11—432no—
397C2×C4×D11—432no—
398C2×C4×D11C22×C414yes—
399C2×C4×D11C22×C418yes—
400C2×C4×D11C22×C414yes—
401C2×C4×D11C22×C414yescomplemented
402C2×C4×D11C22×C414yescomplemented
403C2×C4×D11C2×D414yes—
404C2×C4×D11C2×D418yes—
405C2×C4×D11C2×D414yes—
406C2×C4×D11C2×D414yes—
407C2×C4×D11#4114yes—
408C11×C4⋊C4—24no—
409C11×C4⋊C4—22no—
410C11×C4⋊C4—24no—
411C11×C4⋊C4C22×C414yescomplemented
412C11×C4⋊C4C2×D414yescomplemented
413C11×C22⋊C4—22no—
414C11×C22⋊C4—24no—
415C11×C22⋊C4—24no—
416C11×C22⋊C4—42no—
417C11×C22⋊C4C22×C418yescomplemented
418C11×C22⋊C4C2×D414yescomplemented
419C42×C11—24no—
420C42×C11—22no—
421C42×C11—22no—
422C22⋊Dic11—24no—
423C22⋊Dic11—24no—
424C22⋊Dic11—22no—
425C22⋊Dic11—42no—
426C22⋊Dic11C22×C418yescomplemented
427C22⋊Dic11C2×D414yescomplemented
428(C2×D11)⋊C4—24no—
429(C2×D11)⋊C4—24no—
430(C2×D11)⋊C4—22no—
431(C2×D11)⋊C4—22no—
432(C2×D11)⋊C4—24no—
433(C2×D11)⋊C4—24no—
434(C2×D11)⋊C4—42no—
435(C2×D11)⋊C4—42no—
436(C2×D11)⋊C4C22×C418yescomplemented
437(C2×D11)⋊C4C22×C418yescomplemented
438(C2×D11)⋊C4C2×D414yescomplemented
439(C2×D11)⋊C4C2×D414yescomplemented
440C4⋊Dic11—24no—
441C4⋊Dic11—24no—
442C4⋊Dic11—22no—
443C4⋊Dic11C22×C414yescomplemented
444C4⋊Dic11C2×D414yescomplemented
445Dic11⋊C4—24no—
446Dic11⋊C4—24no—
447Dic11⋊C4—24no—
448Dic11⋊C4—24no—
449Dic11⋊C4—24no—
450Dic11⋊C4C22×C418yescomplemented
451Dic11⋊C4C2×D418yescomplemented
452C4×Dic11—22no—
453C4×Dic11—24no—
454C4×Dic11—24no—
455C4×Dic11—22no—
456C4×Dic11—22no—
457C4×Dic11—22no—
458C4×Dic11—24no—
459C4×Dic11—22no—
460C4×Dic11—22no—
461C22×#121—111no—
462C22×C4×D4—112no—
463C22×C4×D4—111no—
464C23×C4⋊C4—111no—
465#2361—111no—
466#2361—111no—
467#2361—112no—
468#2361—112no—
469#2361—112no—
470#2361—111no—
471#2361—111no—
472#2361—111no—
473#2361—111no—
474#2361—112no—
475#2361—111no—
476#2361D1111yescharacteristic, direct product factor
477C2×#390—111no—
478C2×#389—111no—
479C2×#388—112no—
480C2×#386—112no—
481C2×#385—112no—
482C2×C4×C4⋊C4—111no—
483C2×C4×C22⋊C4—111no—
484C23×C11—21no—
485C23×C11—21no—
486C23×C11—21no—
487C23×C11—21no—
488C23×C11—22no—
489C23×C11—22no—
490C23×C11—22no—
491C23×C11—22no—
492C23×C11—22no—
493C23×C11—22no—
494C23×C11C23×C414yes—
495C23×C11C23×C412yes—
496C23×C11C22×D412yes—
497C23×C11C2×#4112yes—
498C23×C11C2511yescharacteristic
499C22×D11—21no—
500C22×D11—21no—
501C22×D11—21no—
502C22×D11—21no—
503C22×D11—28no—
504C22×D11—28no—
505C22×D11—28no—
506C22×D11—28no—
507C22×D11—28no—
508C22×D11—28no—
509C22×D11—22no—
510C22×D11—22no—
511C22×D11—22no—
512C22×D11—22no—
513C22×D11—22no—
514C22×D11—22no—
515C22×D11—216no—
516C22×D11—216no—
517C22×D11—216no—
518C22×D11—48no—
519C22×D11—48no—
520C22×D11—48no—
521C22×D11—48no—
522C22×D11C4×D4116yescomplemented
523C22×D11C23×C414yes—
524C22×D11C23×C412yes—
525C22×D11C23×C412yes—
526C22×D11C22×D412yes—
527C22×D11C22×D412yes—
528C22×D11C22×D412yes—
529C22×D11C2×#4112yes—
530C22×D11C2×#4112yes—
531C22×D11C2×#4112yes—
532C22×D11H(5,𝔽2)12yes—
533C22×D112−1+412yes—
534D4×C11—216no—
535D4×C11—28no—
536C2×C4×C11—22no—
537C2×C4×C11—22no—
538C2×C4×C11—21no—
539C2×C4×C11—21no—
540C2×C4×C11—21no—
541C2×C4×C11—21no—
542C2×C4×C11—22no—
543C2×C4×C11—21no—
544C2×C4×C11—22no—
545C2×C4×C11—21no—
546C2×C4×C11—28no—
547C2×C4×C11—21no—
548C2×C4×C11—22no—
549C2×C4×C11—22no—
550C2×C4×C11—21no—
551C2×C4×C11—21no—
552C2×C4×C11—21no—
553C2×C4×C11—21no—
554C2×C4×C11—22no—
555C2×C4×C11—21no—
556C2×C4×C11—48no—
557C2×C4×C11—48no—
558C2×C4×C11C23×C414yes—
559C2×C4×C11C23×C412yes—
560C2×C4×C11C23×C412yes—
561C2×C4×C11C22×D412yes—
562C2×C4×C11C22×D412yes—
563C2×C4×C11C22×D414yes—
564C2×C4×C11C22×D412yes—
565C2×C4×C11C2×#4112yes—
566C22⋊D11—216no—
567C22⋊D11—216no—
568C22⋊D11—216no—
569C2×Dic11—22no—
570C2×Dic11—22no—
571C2×Dic11—21no—
572C2×Dic11—21no—
573C2×Dic11—21no—
574C2×Dic11—21no—
575C2×Dic11—22no—
576C2×Dic11—21no—
577C2×Dic11—22no—
578C2×Dic11—21no—
579C2×Dic11—28no—
580C2×Dic11—21no—
581C2×Dic11—22no—
582C2×Dic11—22no—
583C2×Dic11—21no—
584C2×Dic11—21no—
585C2×Dic11—21no—
586C2×Dic11—21no—
587C2×Dic11—22no—
588C2×Dic11—21no—
589C2×Dic11—48no—
590C2×Dic11—48no—
591C2×Dic11C23×C414yes—
592C2×Dic11C23×C412yes—
593C2×Dic11C23×C412yes—
594C2×Dic11C22×D412yes—
595C2×Dic11C22×D412yes—
596C2×Dic11C22×D414yes—
597C2×Dic11C22×D412yes—
598C2×Dic11C2×#4112yes—
599D44—216no—
600D44—28no—
601C4×D11—28no—
602C4×D11—216no—
603C4×D11—216no—
604C4×D11—28no—
605C4×D11—28no—
606C4×D11—28no—
607C4×D11—28no—
608C4×D11—48no—
609C4×D11—48no—
610C4×D11—48no—
611C4×D11—48no—
612C4×D11—48no—
613C4×D11—44no—
614C4×D11—44no—
615C4×D11C4×D4116yescomplemented
616C23×D4—112no—
617C23×D4—111no—
618C24×C4—111no—
619C24×C4—112no—
620C24×C4—112no—
621C2×#121—111no—
622C2×#121—112no—
623C2×#121—111no—
624C2×#121—1116no—
625C2×#121—111no—
626C2×#121—112no—
627C2×#121C2×D1111yescharacteristic
628C2×C4×D4—111no—
629C2×C4×D4—112no—
630C2×C4×D4—112no—
631C2×C4×D4—112no—
632C2×C4×D4—112no—
633C2×C4×D4—111no—
634C2×C4×D4—112no—
635C2×C4×D4—112no—
636C2×C4×D4—112no—
637C2×C4×D4—112no—
638C2×C4×D4—111no—
639C2×C4×D4—112no—
640C2×C4×D4—2216no—
641C2×C4×D4—228no—
642C2×C4×D4C2×D1111yescharacteristic, complemented
643C2×C4×D4C2×D1112yescomplemented
644C22×C4⋊C4—111no—
645C22×C4⋊C4—111no—
646C22×C4⋊C4—112no—
647C22×C4⋊C4—111no—
648C22×C4⋊C4—112no—
649C22×C4⋊C4—111no—
650C22×C4⋊C4—112no—
651C22×C4⋊C4—112no—
652C22×C4⋊C4—111no—
653C22×C4⋊C4—111no—
654C22×C4⋊C4—228no—
655C22×C4⋊C4C2×D1111yescharacteristic, complemented
656C22×C22⋊C4—111no—
657C22×C22⋊C4—112no—
658C22×C22⋊C4—112no—
659C22×C22⋊C4—112no—
660C22×C22⋊C4—111no—
661C22×C22⋊C4—112no—
662C22×C42—111no—
663C22×C42—112no—
664C22×C42—111no—
665#390—111no—
666#390—111no—
667#390—112no—
668#390—112no—
669#390—111no—
670#390C2×D1111yescharacteristic, complemented
671#389—112no—
672#389—111no—
673#389—111no—
674#389—111no—
675#389—112no—
676#389C2×D1111yescharacteristic, complemented
677#388—112no—
678#388—112no—
679#388—112no—
680#388—112no—
681#388—112no—
682#388—112no—
683#388—112no—
684#388C2×D1112yescomplemented
685#386—112no—
686#386—112no—
687#386—112no—
688#386—112no—
689#386—112no—
690#386—112no—
691#386—112no—
692#386C2×D1112yescomplemented
693#385—112no—
694#385—112no—
695#385—112no—
696#385—112no—
697#385—112no—
698#385—112no—
699#385—112no—
700#385C2×D1112yescomplemented
701C4×C4⋊C4—111no—
702C4×C4⋊C4—111no—
703C4×C4⋊C4—112no—
704C4×C4⋊C4—111no—
705C4×C4⋊C4—112no—
706C4×C4⋊C4C2×D1111yescharacteristic, complemented
707C4×C22⋊C4—111no—
708C4×C22⋊C4—111no—
709C4×C22⋊C4—111no—
710C4×C22⋊C4—111no—
711C4×C22⋊C4—111no—
712C4×C22⋊C4—111no—
713C4×C22⋊C4—111no—
714C4×C22⋊C4C2×D1111yescharacteristic, complemented
715C2×#95—111no—
716C2×#95—111no—
717C2×#95—112no—
718C2×#95—112no—
719C22×C11—22no—
720C22×C11—22no—
721C22×C11—22no—
722C22×C11—22no—
723C22×C11—22no—
724C22×C11—22no—
725C22×C11—24no—
726C22×C11—24no—
727C22×C11—24no—
728C22×C11—42no—
729C22×C11—42no—
730C22×C11—42no—
731C22×C11—42no—
732C22×C11C2×C4×D414yescomplemented
733C22×C11C24×C411yescharacteristic
734C22×C11C23×D411yescharacteristic
735C22×C11C23×D411yescharacteristic
736C22×C11C22×#4111yescharacteristic
737C22×C11C22×#4111yescharacteristic
738C22×C11C2×H(5,𝔽2)11yescharacteristic
739C22×C11C2×2−1+411yescharacteristic
740C2×D11—22no—
741C2×D11—22no—
742C2×D11—22no—
743C2×D11—22no—
744C2×D11—22no—
745C2×D11—22no—
746C2×D11—232no—
747C2×D11—24no—
748C2×D11—24no—
749C2×D11—24no—
750C2×D11—42no—
751C2×D11—42no—
752C2×D11—42no—
753C2×D11—42no—
754C2×D11—432no—
755C2×D11C2×C4×D414yes—
756C2×D11C2×C4×D414yes—
757C2×D11C2×C4×D414yescomplemented
758C2×D11#52014yes—
759C2×D11D4214yes—
760C2×D11#54714yes—
761C2×D11#54814yes—
762C2×D11#55314yes—
763C4×C11—22no—
764C4×C11—24no—
765C4×C11—22no—
766C4×C11—24no—
767C4×C11—22no—
768C4×C11—42no—
769C4×C11—41no—
770C4×C11—41no—
771C4×C11C2×C4×D414yescomplemented
772Dic11—22no—
773Dic11—24no—
774Dic11—22no—
775Dic11—24no—
776Dic11—22no—
777Dic11—42no—
778Dic11—41no—
779Dic11—41no—
780Dic11C2×C4×D414yescomplemented
781C25—111no—
782C25—112no—
783C22×D4—112no—
784C22×D4—112no—
785C22×D4—112no—
786C22×D4—118no—
787C22×D4—1116no—
788C22×D4—112no—
789C22×D4—111no—
790C22×D4—224no—
791C22×D4—224no—
792C22×D4—228no—
793C22×D4—228no—
794C22×D4C22×D1112yes—
795C22×D4C22×D1111yescharacteristic
796C23×C4—111no—
797C23×C4—111no—
798C23×C4—118no—
799C23×C4—111no—
800C23×C4—111no—
801C23×C4—111no—
802C23×C4—112no—
803C23×C4—112no—
804C23×C4—111no—
805C23×C4—111no—
806C23×C4—112no—
807C23×C4—112no—
808C23×C4—111no—
809C23×C4—111no—
810C23×C4—112no—
811C23×C4—112no—
812C23×C4—112no—
813C23×C4—112no—
814C23×C4—112no—
815C23×C4—224no—
816C23×C4—224no—
817C23×C4—228no—
818C23×C4—228no—
819C23×C4—228no—
820C23×C4—228no—
821C23×C4—444no—
822C23×C4—444no—
823C23×C4C22×D1112yes—
824C23×C4C22×D1112yes—
825C23×C4C22×D1111yescharacteristic
826#121—118no—
827#121—1116no—
828#121—118no—
829#121—118no—
830#121—1116no—
831#121C4×D1118yescomplemented
832C4×D4—24no—
833C4×D4—28no—
834C4×D4—228no—
835C4×D4—224no—
836C4×D4—228no—
837C4×D4—228no—
838C4×D4—228no—
839C4×D4—228no—
840C4×D4—228no—
841C4×D4—228no—
842C4×D4—228no—
843C4×D4—224no—
844C4×D4—224no—
845C4×D4—228no—
846C2×C4⋊C4—24no—
847C2×C4⋊C4—112no—
848C2×C4⋊C4—111no—
849C2×C4⋊C4—112no—
850C2×C4⋊C4—111no—
851C2×C4⋊C4—118no—
852C2×C4⋊C4—118no—
853C2×C4⋊C4—112no—
854C2×C4⋊C4—112no—
855C2×C4⋊C4—112no—
856C2×C4⋊C4—112no—
857C2×C4⋊C4—111no—
858C2×C4⋊C4—112no—
859C2×C4⋊C4—112no—
860C2×C4⋊C4—112no—
861C2×C4⋊C4—228no—
862C2×C4⋊C4—224no—
863C2×C4⋊C4—224no—
864C2×C4⋊C4—228no—
865C2×C4⋊C4—228no—
866C2×C4⋊C4—228no—
867C2×C4⋊C4—224no—
868C2×C4⋊C4—224no—
869C2×C4⋊C4C22×D1112yes—
870C2×C4⋊C4C22×D1111yescharacteristic
871C2×C4⋊C4C22×D1112yes—
872C2×C4⋊C4C22×D1111yescharacteristic
873C2×C4⋊C4C22×D1111yescharacteristic
874C2×C22⋊C4—111no—
875C2×C22⋊C4—112no—
876C2×C22⋊C4—111no—
877C2×C22⋊C4—111no—
878C2×C22⋊C4—112no—
879C2×C22⋊C4—112no—
880C2×C22⋊C4—1116no—
881C2×C22⋊C4—118no—
882C2×C22⋊C4—112no—
883C2×C22⋊C4—112no—
884C2×C22⋊C4—111no—
885C2×C22⋊C4—112no—
886C2×C22⋊C4—112no—
887C2×C22⋊C4—112no—
888C2×C22⋊C4—112no—
889C2×C22⋊C4—111no—
890C2×C22⋊C4—111no—
891C2×C22⋊C4—112no—
892C2×C22⋊C4—112no—
893C2×C22⋊C4—112no—
894C2×C22⋊C4—228no—
895C2×C22⋊C4—228no—
896C2×C22⋊C4—224no—
897C2×C22⋊C4—444no—
898C2×C22⋊C4C22×D1112yes—
899C2×C22⋊C4C22×D1112yes—
900C2×C22⋊C4C22×D1111yescharacteristic
901C2×C22⋊C4C22×D1112yes—
902C2×C22⋊C4C22×D1112yes—
903C2×C22⋊C4C22×D1111yescharacteristic
904C2×C42—111no—
905C2×C42—111no—
906C2×C42—111no—
907C2×C42—112no—
908C2×C42—112no—
909C2×C42—112no—
910C2×C42—111no—
911C2×C42—111no—
912C2×C42—111no—
913C2×C42—224no—
914C2×C42—228no—
915C2×C42—224no—
916C2×C42C22×D1111yescharacteristic
917C2×C42C22×D1112yes—
918C2×C42C22×D1111yescharacteristic
919#95—111no—
920#95—111no—
921#95—111no—
922#95—111no—
923#95—111no—
924#95—111no—
925#95—112no—
926#95—112no—
927#95—112no—
928#95—112no—
929#95—112no—
930#95—112no—
931#95C22×D1111yescharacteristic
932#95C22×D1111yescharacteristic
933#95C22×D1112yes—
934#95C22×D1112yes—
935C2×C11—24no—
936C2×C11—44no—
937C2×C11C22×C4×D411yescharacteristic
938C2×C11C22×C4×D411yescharacteristic
939C2×C11C2×#52011yescharacteristic
940C2×C11C2×D4211yescharacteristic
941C2×C11C2×#54711yescharacteristic
942C2×C11C2×#54811yescharacteristic
943C2×C11C2×#55311yescharacteristic
944D11—24no—
945D11—44no—
946D11#236118yesdirect product factor
947C24—111no—
948C24—114no—
949C24—114no—
950C24—114no—
951C24—111no—
952C24—118no—
953C24—112no—
954C24—222no—
955C24—222no—
956C24—222no—
957C24—222no—
958C24—224no—
959C24—224no—
960C24—224no—
961C24—224no—
962C24—224no—
963C24—224no—
964C24C23×D1112yes—
965C24C23×D1111yescharacteristic
966C2×D4—24no—
967C2×D4—24no—
968C2×D4—22no—
969C2×D4—22no—
970C2×D4—118no—
971C2×D4—118no—
972C2×D4—118no—
973C2×D4—118no—
974C2×D4—114no—
975C2×D4—224no—
976C2×D4—224no—
977C2×D4—2232no—
978C2×D4—224no—
979C2×D4—224no—
980C2×D4—2264no—
981C2×D4—224no—
982C2×D4—224no—
983C2×D4—224no—
984C2×D4—224no—
985C2×D4—222no—
986C2×D4—222no—
987C2×D4C2×C4×D1118yescomplemented
988C2×D4C2×C4×D1114yescomplemented
989C22×C4—22no—
990C22×C4—22no—
991C22×C4—24no—
992C22×C4—24no—
993C22×C4—24no—
994C22×C4—24no—
995C22×C4—42no—
996C22×C4—42no—
997C22×C4—111no—
998C22×C4—114no—
999C22×C4—114no—
1000C22×C4—114no—
1001C22×C4—114no—
1002C22×C4—112no—
1003C22×C4—111no—
1004C22×C4—111no—
1005C22×C4—111no—
1006C22×C4—112no—
1007C22×C4—114no—
1008C22×C4—118no—
1009C22×C4—114no—
1010C22×C4—114no—
1011C22×C4—114no—
1012C22×C4—114no—
1013C22×C4—118no—
1014C22×C4—111no—
1015C22×C4—111no—
1016C22×C4—112no—
1017C22×C4—222no—
1018C22×C4—222no—
1019C22×C4—2232no—
1020C22×C4—224no—
1021C22×C4—224no—
1022C22×C4—224no—
1023C22×C4—224no—
1024C22×C4—222no—
1025C22×C4—224no—
1026C22×C4—222no—
1027C22×C4—222no—
1028C22×C4—222no—
1029C22×C4—222no—
1030C22×C4—224no—
1031C22×C4—224no—
1032C22×C4—222no—
1033C22×C4—222no—
1034C22×C4—222no—
1035C22×C4—224no—
1036C22×C4—222no—
1037C22×C4—222no—
1038C22×C4—222no—
1039C22×C4—224no—
1040C22×C4—224no—
1041C22×C4—224no—
1042C22×C4—224no—
1043C22×C4—222no—
1044C22×C4—222no—
1045C22×C4—222no—
1046C22×C4—224no—
1047C22×C4—224no—
1048C22×C4—224no—
1049C22×C4—222no—
1050C22×C4—222no—
1051C22×C4—224no—
1052C22×C4—224no—
1053C22×C4—224no—
1054C22×C4—224no—
1055C22×C4—442no—
1056C22×C4—442no—
1057C22×C4—442no—
1058C22×C4—442no—
1059C22×C4—4432no—
1060C22×C4—4432no—
1061C22×C4—442no—
1062C22×C4—442no—
1063C22×C4C2×C4×D1114yescomplemented
1064C22×C4C23×D1111yescharacteristic
1065C22×C4C23×D1111yescharacteristic
1066C22×C4C23×D1112yes—
1067C22×C4C23×D1112yes—
1068C22×C4C23×D1111yescharacteristic
1069C22×C4C23×D1111yescharacteristic
1070C22×C4C23×D1112yes—
1071C22×C4C23×D1111yescharacteristic
1072C22×C4C23×D1111yescharacteristic
1073C4⋊C4—24no—
1074C4⋊C4—22no—
1075C4⋊C4—24no—
1076C4⋊C4—118no—
1077C4⋊C4—114no—
1078C4⋊C4—118no—
1079C4⋊C4—114no—
1080C4⋊C4—224no—
1081C4⋊C4—224no—
1082C4⋊C4—224no—
1083C4⋊C4—224no—
1084C4⋊C4—224no—
1085C4⋊C4—224no—
1086C4⋊C4—222no—
1087C4⋊C4—224no—
1088C4⋊C4C2×C4×D1114yescomplemented
1089C4⋊C4D4×D1114yescomplemented
1090C22⋊C4—22no—
1091C22⋊C4—24no—
1092C22⋊C4—24no—
1093C22⋊C4—42no—
1094C22⋊C4—118no—
1095C22⋊C4—114no—
1096C22⋊C4—118no—
1097C22⋊C4—118no—
1098C22⋊C4—114no—
1099C22⋊C4—114no—
1100C22⋊C4—224no—
1101C22⋊C4—224no—
1102C22⋊C4—222no—
1103C22⋊C4—222no—
1104C22⋊C4—224no—
1105C22⋊C4—224no—
1106C22⋊C4—222no—
1107C22⋊C4—224no—
1108C22⋊C4—224no—
1109C22⋊C4—442no—
1110C22⋊C4—442no—
1111C22⋊C4—442no—
1112C22⋊C4C2×C4×D1118yescomplemented
1113C22⋊C4D4×D1114yescomplemented
1114C42—24no—
1115C42—22no—
1116C42—22no—
1117C42—224no—
1118C42—222no—
1119C42—224no—
1120C42—222no—
1121C42—222no—
1122C42—222no—
1123C42—224no—
1124C42—222no—
1125C42—222no—
1126C11C2×#236111yescharacteristic, complemented, Sylow
1127C23—21no—
1128C23—21no—
1129C23—21no—
1130C23—21no—
1131C23—22no—
1132C23—22no—
1133C23—22no—
1134C23—22no—
1135C23—22no—
1136C23—22no—
1137C23—112no—
1138C23—112no—
1139C23—112no—
1140C23—112no—
1141C23—112no—
1142C23—112no—
1143C23—112no—
1144C23—1116no—
1145C23—112no—
1146C23—112no—
1147C23—112no—
1148C23—114no—
1149C23—228no—
1150C23—228no—
1151C23—228no—
1152C23—228no—
1153C23—228no—
1154C23—228no—
1155C23—2216no—
1156C23—2216no—
1157C23—2216no—
1158C23—221no—
1159C23—221no—
1160C23—221no—
1161C23—221no—
1162C23—222no—
1163C23—222no—
1164C23—222no—
1165C23—222no—
1166C23—222no—
1167C23—222no—
1168C23—448no—
1169C23—448no—
1170C23—448no—
1171C23—448no—
1172C23C22×C4×D1114yes—
1173C23C22×C4×D1112yes—
1174C23C2×D4×D1112yes—
1175C23#41×D1112yes—
1176C23C24×D1111yescharacteristic
1177D4—216no—
1178D4—28no—
1179D4—2216no—
1180D4—2216no—
1181D4—2216no—
1182D4—2216no—
1183D4—228no—
1184C2×C4—22no—
1185C2×C4—22no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—21no—
1189C2×C4—21no—
1190C2×C4—22no—
1191C2×C4—21no—
1192C2×C4—22no—
1193C2×C4—21no—
1194C2×C4—28no—
1195C2×C4—21no—
1196C2×C4—22no—
1197C2×C4—22no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—22no—
1203C2×C4—21no—
1204C2×C4—48no—
1205C2×C4—48no—
1206C2×C4—112no—
1207C2×C4—112no—
1208C2×C4—112no—
1209C2×C4—1116no—
1210C2×C4—112no—
1211C2×C4—114no—
1212C2×C4—112no—
1213C2×C4—112no—
1214C2×C4—114no—
1215C2×C4—228no—
1216C2×C4—228no—
1217C2×C4—228no—
1218C2×C4—2216no—
1219C2×C4—2216no—
1220C2×C4—228no—
1221C2×C4—228no—
1222C2×C4—222no—
1223C2×C4—222no—
1224C2×C4—221no—
1225C2×C4—221no—
1226C2×C4—221no—
1227C2×C4—221no—
1228C2×C4—222no—
1229C2×C4—221no—
1230C2×C4—222no—
1231C2×C4—221no—
1232C2×C4—228no—
1233C2×C4—221no—
1234C2×C4—222no—
1235C2×C4—222no—
1236C2×C4—221no—
1237C2×C4—221no—
1238C2×C4—221no—
1239C2×C4—221no—
1240C2×C4—222no—
1241C2×C4—221no—
1242C2×C4—448no—
1243C2×C4—448no—
1244C2×C4—448no—
1245C2×C4—448no—
1246C2×C4—448no—
1247C2×C4—444no—
1248C2×C4—444no—
1249C2×C4—448no—
1250C2×C4—448no—
1251C2×C4C22×C4×D1112yes—
1252C2×C4C22×C4×D1114yes—
1253C2×C4C22×C4×D1112yes—
1254C2×C4C2×D4×D1112yes—
1255C2×C4C2×D4×D1114yes—
1256C2×C4C2×D4×D1112yes—
1257C2×C4C2×D4×D1112yes—
1258C2×C4#41×D1112yes—
1259C22—22no—
1260C22—22no—
1261C22—22no—
1262C22—22no—
1263C22—22no—
1264C22—22no—
1265C22—24no—
1266C22—24no—
1267C22—24no—
1268C22—42no—
1269C22—42no—
1270C22—42no—
1271C22—42no—
1272C22—114no—
1273C22—114no—
1274C22—114no—
1275C22—114no—
1276C22—114no—
1277C22—114no—
1278C22—114no—
1279C22—114no—
1280C22—2232no—
1281C22—222no—
1282C22—222no—
1283C22—222no—
1284C22—222no—
1285C22—222no—
1286C22—222no—
1287C22—224no—
1288C22—224no—
1289C22—224no—
1290C22—4432no—
1291C22—442no—
1292C22—442no—
1293C22—442no—
1294C22—442no—
1295C22C4×D4×D1114yescomplemented
1296C22C23×C4×D1111yescharacteristic
1297C22C22×D4×D1111yescharacteristic
1298C22C22×D4×D1111yescharacteristic
1299C22C2×#41×D1111yescharacteristic
1300C22C2×#41×D1111yescharacteristic
1301C22D11×H(5,𝔽2)11yescharacteristic
1302C22D11×2−1+411yescharacteristic
1303C4—22no—
1304C4—24no—
1305C4—22no—
1306C4—24no—
1307C4—22no—
1308C4—41no—
1309C4—42no—
1310C4—41no—
1311C4—114no—
1312C4—222no—
1313C4—224no—
1314C4—222no—
1315C4—224no—
1316C4—222no—
1317C4—441no—
1318C4—442no—
1319C4—441no—
1320C4C4×D4×D1114yescomplemented
1321C2—24no—
1322C2—44no—
1323C2—118no—
1324C2—224no—
1325C2—444no—
1326C2C2×C4×D4×D1111yescharacteristic
1327C2C2×C4×D4×D1111yescharacteristic
1328C2D11×#52011yescharacteristic
1329C2D42×D1111yescharacteristic
1330C2D11×#54711yescharacteristic
1331C2D11×#54811yescharacteristic
1332C2D11×#55311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2361C2
socle, cosocleC23×C11C25
prime radicalC2×D11×#121C2
hypercenter#2361D11
hypocenterC11C2×#2361
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2361

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D11C2semidirect
3. C2×C4×D4×D11C2semidirect
4. C22×C4⋊C4×D11C2semidirect
5. #13071637C2semidirect
6. #13071636C2semidirect
7. #13071635C2semidirect
8. #13071634C2semidirect
9. #13071633C2semidirect
10. #13071632C2semidirect
11. #13071631C2semidirect
12. #13071630C2semidirect
13. #13071629C2semidirect
14. #13071628C2semidirect
15. #13071627C2semidirect
16. D11×#390C2semidirect
17. D11×#389C2semidirect
18. D11×#388C2semidirect
19. D11×#386C2semidirect
20. D11×#385C2semidirect
21. C4×C4⋊C4×D11C2semidirect
22. C4×C22⋊C4×D11C2semidirect
23. C11×#2361C2semidirect
30. C2×C4×D4×C11C22semidirect
31. C2×C4×D4×C11C22semidirect
32. C22×C11×C4⋊C4C22semidirect
35. C2×D4×Dic11C22semidirect
36. C2×D4×Dic11C22semidirect
38. C2×C4×C22⋊D11C22semidirect
39. C2×C4×C22⋊D11C22semidirect
40. C2×C4×C22⋊D11C22semidirect
41. C22×C4⋊Dic11C22semidirect
42. C22×Dic11⋊C4C22semidirect
43. D11×#121C4semidirect
47. C2×#66946C22semidirect
48. C2×#66946C22semidirect
55. C2×C4⋊C4×D11C22semidirect
56. C2×C4⋊C4×D11C22semidirect
57. C2×C4⋊C4×D11C22semidirect
59. C2×(C22⋊D11)⋊C4C22semidirect
60. C2×(C22⋊D11)⋊C4C22semidirect
61. C2×(C22⋊D11)⋊C4C22semidirect
68. C2×C4×D44C22semidirect
69. C2×C4×D44C22semidirect
73. C11×#390C22semidirect
74. C11×#389C22semidirect
75. C11×#388C22semidirect
76. C11×#386C22semidirect
77. C11×#385C22semidirect
78. C4×C11×C4⋊C4C22semidirect
79. C4×C11×C22⋊C4C22semidirect
80. #10622834C22semidirect
81. #10622833C22semidirect
82. #10622826C22semidirect
83. #10622823C22semidirect
84. C4×C22⋊Dic11C22semidirect
85. #10622603C22semidirect
86. #10622602C22semidirect
87. #10622602C22semidirect
88. #10622601C22semidirect
89. #10622598C22semidirect
90. C4⋊C4×Dic11C22semidirect
91. C4⋊C4×Dic11C22semidirect
92. #10622586C22semidirect
93. #10622585C22semidirect
94. #10622571C22semidirect
95. #10622570C22semidirect
96. #10622570C22semidirect
97. #10622569C22semidirect
98. #10622569C22semidirect
99. #10622564C22semidirect
100. #10622563C22semidirect
101. #10622559C22semidirect
102. #10622558C22semidirect
103. #10622557C22semidirect
104. C22⋊C4×Dic11C22semidirect
105. C22⋊C4×Dic11C22semidirect
106. #10622553C22semidirect
107. #10622552C22semidirect
108. C4×(C2×D11)⋊C4C22semidirect
109. C4×(C2×D11)⋊C4C22semidirect
110. C4×C4⋊Dic11C22semidirect
111. C4×Dic11⋊C4C22semidirect
112. #10622541C22semidirect
113. #10622283C22semidirect
114. #10622282C22semidirect
115. #10622281C22semidirect
116. #10622281C22semidirect
117. #10622279C22semidirect
118. #10622279C22semidirect
119. #10622278C22semidirect
120. #10622278C22semidirect
125. #10622262C22semidirect
126. #10622260C22semidirect
144. C2×D4×D11C2×C4semidirect
145. C2×D4×D11C2×C4semidirect
156. C22×C4×D11C2×C4semidirect
172. C11×#121C2×C4semidirect
196. #66992C2×C4semidirect
197. #66991C2×C4semidirect
200. #66983C2×C4semidirect
239. #66948C2×C4semidirect
248. C4⋊C4×D11C2×C4semidirect
249. C4⋊C4×D11D4semidirect
250. #66937C2×C4semidirect
258. C22⋊C4×D11C2×C4semidirect
259. C22⋊C4×D11D4semidirect
305. C2×D4×C11C22×C4semidirect
306. C2×D4×C11C22×C4semidirect
315. C22×C4×C11C22×C4semidirect
331. C2×C22⋊D11C22×C4semidirect
332. C2×C22⋊D11C22×C4semidirect
333. C2×C22⋊D11C22×C4semidirect
342. C22×Dic11C22×C4semidirect
358. C2×D44C22×C4semidirect
359. C2×D44C22×C4semidirect
401. C2×C4×D11C22×C4semidirect
402. C2×C4×D11C22×C4semidirect
411. C11×C4⋊C4C22×C4semidirect
412. C11×C4⋊C4C2×D4semidirect
417. C11×C22⋊C4C22×C4semidirect
418. C11×C22⋊C4C2×D4semidirect
426. C22⋊Dic11C22×C4semidirect
427. C22⋊Dic11C2×D4semidirect
436. (C2×D11)⋊C4C22×C4semidirect
437. (C2×D11)⋊C4C22×C4semidirect
438. (C2×D11)⋊C4C2×D4semidirect
439. (C2×D11)⋊C4C2×D4semidirect
443. C4⋊Dic11C22×C4semidirect
444. C4⋊Dic11C2×D4semidirect
450. Dic11⋊C4C22×C4semidirect
451. Dic11⋊C4C2×D4semidirect
476. #2361D11direct (N × H)
522. C22×D11C4×D4semidirect
615. C4×D11C4×D4semidirect
642. C2×C4×D4C2×D11semidirect
643. C2×C4×D4C2×D11semidirect
655. C22×C4⋊C4C2×D11semidirect
670. #390C2×D11semidirect
676. #389C2×D11semidirect
684. #388C2×D11semidirect
692. #386C2×D11semidirect
700. #385C2×D11semidirect
706. C4×C4⋊C4C2×D11semidirect
714. C4×C22⋊C4C2×D11semidirect
732. C22×C11C2×C4×D4semidirect
757. C2×D11C2×C4×D4semidirect
771. C4×C11C2×C4×D4semidirect
780. Dic11C2×C4×D4semidirect
831. #121C4×D11semidirect
946. D11#2361direct (N × H)
987. C2×D4C2×C4×D11semidirect
988. C2×D4C2×C4×D11semidirect
1063. C22×C4C2×C4×D11semidirect
1088. C4⋊C4C2×C4×D11semidirect
1089. C4⋊C4D4×D11semidirect
1112. C22⋊C4C2×C4×D11semidirect
1113. C22⋊C4D4×D11semidirect
1126. C11C2×#2361semidirect
1295. C22C4×D4×D11semidirect
1320. C4C4×D4×D11semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1212
C2×C4×D4×D112
C22×C4⋊C4×D112
#130716372
#130716362
#130716352
#130716342
#130716332
#130716322
#130716312
#130716302
#130716292
#130716282
#130716272
D11×#3902
D11×#3892
D11×#3882
D11×#3862
D11×#3852
C4×C4⋊C4×D112
C4×C22⋊C4×D112
C11×#23612
C2×#236111