Finite Group Databasebeta

← #14916502

Subgroups — #14916502

Order 2816.

4134 conjugacy classes of subgroups.

The subgroup lattice has 1354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66935C211yesmaximal, characteristic
2#13071756C212yesmaximal, complemented
3#13071756C212yesmaximal, complemented
4#13071598C212yesmaximal, complemented
5#13071592C212yesmaximal, complemented
6#13071466C211yesmaximal, characteristic, complemented
7#13071465C211yesmaximal, characteristic, complemented
8#13071458C211yesmaximal, characteristic, complemented
9C22⋊C4×D44C211yesmaximal, characteristic, complemented
10#13071436C211yesmaximal, characteristic, complemented
11C22⋊C4×C22⋊D11C211yesmaximal, characteristic, complemented
12#13071432C211yesmaximal, characteristic, complemented
13#13071278C212yesmaximal, complemented
14#13071276C212yesmaximal, complemented
15#13071273C212yesmaximal, complemented
16#13071269C212yesmaximal, complemented
17#13071213C211yesmaximal, characteristic, complemented
18#13071211C211yesmaximal, characteristic, complemented
19#13071196C211yesmaximal, characteristic, complemented
20#13071193C211yesmaximal, characteristic, complemented
21C2×#10622568C211yesmaximal, characteristic, complemented
22D11×#379C211yesmaximal, characteristic, complemented
23C11×#2342C211yesmaximal, characteristic, complemented
24C25×D11C2211yescharacteristic
25C23×C22⋊D11C2211yescharacteristic
26C23×D44C2211yescharacteristic
27C23×D44C2211yescharacteristic
28C2×C11×#117C2211yescharacteristic, complemented
29C22×C11×C22⋊C4C2211yescharacteristic
30C22×C11×C22⋊C4C2211yescharacteristic
31C22×C22⋊Dic11C2211yescharacteristic
32C2×C4×C22⋊D11C2212yescomplemented
33C22×(C2×D11)⋊C4C2211yescharacteristic
34C22×(C2×D11)⋊C4C2211yescharacteristic
35C22×(C2×D11)⋊C4C2212yescomplemented
36C22×(C2×D11)⋊C4C2212yescomplemented
37C2×#66979C2211yescharacteristic, complemented
38C2×#66946C2212yescomplemented
39C2×#66935C4116yescomplemented
40C2×#66935C2211yescharacteristic
41C2×#66935C2211yescharacteristic
42C2×#66935C2211yescharacteristic
43C2×#66935C2211yescharacteristic
44C2×#66935C2211yescharacteristic
45C2×#66935C2211yescharacteristic
46C2×#66935C2211yescharacteristic
47C2×#66935C2211yescharacteristic
48C2×(C22⋊D11)⋊C4C2212yescomplemented
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×C22⋊C4×D11C2212yescomplemented
52C2×C22⋊C4×D11C2212yescomplemented
53C2×C22⋊C4×D11C2211yescharacteristic, complemented
54C2×C22⋊C4×D11C2211yescharacteristic, complemented
55C2×C4×D44C2212yescomplemented
56C11×#388C2212yescomplemented
57C11×#388C2212yescomplemented
58C11×#385C2212yescomplemented
59C11×#381C2211yescharacteristic, complemented
60C11×#380C2211yescharacteristic, complemented
61C11×#379C2211yescharacteristic
62C4×C11×C22⋊C4C2211yescharacteristic, complemented
63C4×C11×C22⋊C4C2212yescomplemented
64#10622860C2211yescharacteristic
65#10622826C2212yescomplemented
66#10622825C2211yescharacteristic, complemented
67#10622824C2211yescharacteristic, complemented
68C4×C22⋊Dic11C2211yescharacteristic, complemented
69#10622603C2212yescomplemented
70#10622603C2212yescomplemented
71#10622603C2212yescomplemented
72#10622602C2212yescomplemented
73#10622601C2212yescomplemented
74#10622601C2212yescomplemented
75#10622601C2212yescomplemented
76#10622571C2212yescomplemented
77#10622570C2212yescomplemented
78#10622570C2212yescomplemented
79#10622569C2212yescomplemented
80#10622569C2212yescomplemented
81#10622568C2211yescharacteristic
82#10622568C2211yescharacteristic
83#10622568C2211yescharacteristic
84#10622568C2211yescharacteristic
85#10622568C2211yescharacteristic
86#10622568C2211yescharacteristic
87#10622568C2212yescomplemented
88#10622568C2212yescomplemented
89#10622568C2212yescomplemented
90#10622568C2212yescomplemented
91#10622568C2211yescharacteristic, complemented
92#10622568C2211yescharacteristic, complemented
93#10622564C2212yescomplemented
94#10622564C2212yescomplemented
95#10622563C2212yescomplemented
96#10622555C2211yescharacteristic, complemented
97#10622555C2211yescharacteristic, complemented
98C22⋊C4×Dic11C2211yescharacteristic, complemented
99C22⋊C4×Dic11C2211yescharacteristic, complemented
100C22⋊C4×Dic11C2212yescomplemented
101#10622553C2212yescomplemented
102#10622553C2212yescomplemented
103#10622553C2212yescomplemented
104#10622552C2212yescomplemented
105#10622552C2212yescomplemented
106#10622552C2212yescomplemented
107C4×(C2×D11)⋊C4C2212yescomplemented
108#10622283C2212yescomplemented
109#10622283C2212yescomplemented
110#10622283C2212yescomplemented
111#10622282C2212yescomplemented
112#10622282C2212yescomplemented
113#10622282C2212yescomplemented
114#10622281C2212yescomplemented
115#10622279C2212yescomplemented
116#10622278C2212yescomplemented
117#10622278C2212yescomplemented
118#10622278C2212yescomplemented
119#10622278C2212yescomplemented
120#10622278C2212yescomplemented
121#10622278C2212yescomplemented
122#10622278C2212yescomplemented
123#10622278C2212yescomplemented
124C25×C11C2311yescharacteristic
125C24×D11—44no—
126C24×D11—44no—
127C24×D11—42no—
128C24×D11—42no—
129C24×D11C2×C418yescomplemented
130C24×D11C2311yescharacteristic
131C24×D11C2311yescharacteristic
132C24×D11C2311yescharacteristic
133C24×D11C2311yescharacteristic
134C24×D11C2311yescharacteristic
135C24×D11C2311yescharacteristic
136C24×D11C2311yescharacteristic
137C23×C4×C11C2311yescharacteristic
138C23×C4×C11C2312yes—
139C23×C4×C11C2311yescharacteristic
140C22×C22⋊D11—44no—
141C22×C22⋊D11C2×C418yescomplemented
142C22×C22⋊D11C2311yescharacteristic
143C22×C22⋊D11C2311yescharacteristic
144C22×C22⋊D11C2311yescharacteristic
145C22×C22⋊D11C2311yescharacteristic
146C23×Dic11C2312yes—
147C23×Dic11C2311yescharacteristic
148C22×D44—44no—
149C22×D44—42no—
150C22×D44—42no—
151C22×D44C2×C418yescomplemented
152C22×D44C2×C418yescomplemented
153C22×D44C2311yescharacteristic
154C22×D44C2311yescharacteristic
155C22×D44C2311yescharacteristic
156C22×D44C2311yescharacteristic
157C22×D44C2311yescharacteristic
158C22×D44C2311yescharacteristic
159C22×D44C2311yescharacteristic
160C22×D44C2311yescharacteristic
161C22×C4×D11C2312yes—
162C22×C4×D11C2312yes—
163C22×C4×D11C2312yescomplemented
164C22×C4×D11C2312yescomplemented
165C11×#117—42no—
166C2×C11×C4⋊C4C2312yescomplemented
167C2×C11×C4⋊C4C2312yescomplemented
168C2×C11×C22⋊C4—42no—
169C2×C11×C22⋊C4C2×C418yescomplemented
170C2×C11×C22⋊C4C2311yescharacteristic
171C2×C11×C22⋊C4C2311yescharacteristic
172C2×C11×C22⋊C4C2312yes—
173C2×C11×C22⋊C4C2311yescharacteristic
174C2×C11×C22⋊C4C2311yescharacteristic
175C2×C11×C22⋊C4C2312yes—
176C2×C11×C22⋊C4C2312yes—
177C2×C11×C22⋊C4C2311yescharacteristic
178C2×C11×C22⋊C4C2311yescharacteristic
179C2×C11×C22⋊C4C2311yescharacteristic
180C2×C11×C22⋊C4C2311yescharacteristic
181C2×C42×C11C2312yescomplemented
182C2×C42×C11C2312yescomplemented
183C2×C22⋊Dic11—42no—
184C2×C22⋊Dic11C2311yescharacteristic
185C2×C22⋊Dic11C2311yescharacteristic
186C2×C22⋊Dic11C2312yes—
187C2×C22⋊Dic11C2311yescharacteristic
188C2×C22⋊Dic11C2311yescharacteristic
189C2×C22⋊Dic11C2312yes—
190C2×C22⋊Dic11C2312yes—
191C4×C22⋊D11—44no—
192C2×(C2×D11)⋊C4—44no—
193C2×(C2×D11)⋊C4—44no—
194C2×(C2×D11)⋊C4C2×C418yescomplemented
195C2×(C2×D11)⋊C4C2×C418yescomplemented
196C2×(C2×D11)⋊C4C2312yes—
197C2×(C2×D11)⋊C4C2312yes—
198C2×(C2×D11)⋊C4C2312yes—
199C2×(C2×D11)⋊C4C2312yes—
200C2×(C2×D11)⋊C4C2312yes—
201C2×(C2×D11)⋊C4C2312yes—
202C2×(C2×D11)⋊C4C2312yes—
203C2×(C2×D11)⋊C4C2312yes—
204C2×(C2×D11)⋊C4C2312yes—
205C2×(C2×D11)⋊C4C2312yes—
206C2×(C2×D11)⋊C4C2312yes—
207C2×(C2×D11)⋊C4C2312yes—
208C2×(C2×D11)⋊C4C2312yes—
209C2×(C2×D11)⋊C4C2312yes—
210C2×(C2×D11)⋊C4C2311yescharacteristic
211C2×(C2×D11)⋊C4C2311yescharacteristic
212C2×(C2×D11)⋊C4C2311yescharacteristic
213C2×(C2×D11)⋊C4C2311yescharacteristic
214C2×(C2×D11)⋊C4C2311yescharacteristic
215C2×(C2×D11)⋊C4C2311yescharacteristic
216C2×(C2×D11)⋊C4C2311yescharacteristic
217C2×(C2×D11)⋊C4C2311yescharacteristic
218C2×(C2×D11)⋊C4C2312yescomplemented
219C2×(C2×D11)⋊C4C2312yescomplemented
220C2×(C2×D11)⋊C4C2312yescomplemented
221C2×(C2×D11)⋊C4C2312yescomplemented
222C2×(C2×D11)⋊C4C2312yescomplemented
223C2×(C2×D11)⋊C4C2312yescomplemented
224#66979—42no—
225C2×C4⋊Dic11C2312yescomplemented
226C2×C4⋊Dic11C2312yescomplemented
227C2×Dic11⋊C4C2312yescomplemented
228C2×Dic11⋊C4C2312yescomplemented
229C2×C4×Dic11C2312yescomplemented
230C2×C4×Dic11C2312yescomplemented
231C2×C4×Dic11C2312yescomplemented
232C2×C4×Dic11C2312yescomplemented
233#66946—44no—
234#66935C2×C418yescomplemented
235#66935C2×C418yescomplemented
236#66935C2×C418yescomplemented
237#66935C2×C418yescomplemented
238#66935C2×C418yescomplemented
239#66935C2×C418yescomplemented
240#66935C2×C418yescomplemented
241#66935C2×C418yescomplemented
242(C22⋊D11)⋊C4—44no—
243C22⋊C4×D11—42no—
244C22⋊C4×D11—42no—
245C22⋊C4×D11—44no—
246C22⋊C4×D11—42no—
247C22⋊C4×D11—42no—
248C22⋊C4×D11—44no—
249C4×D44—44no—
250C11×#95C2312yescomplemented
251C11×#95C2312yescomplemented
252C11×#95C2312yescomplemented
253C11×#95C2312yescomplemented
254C11⋊#95C2312yescomplemented
255C11⋊#95C2312yescomplemented
256C11⋊#95C2312yescomplemented
257C11⋊#95C2312yescomplemented
258C11⋊#95C2312yescomplemented
259C11⋊#95C2312yescomplemented
260C11⋊#95C2312yescomplemented
261C11⋊#95C2312yescomplemented
262#34356—111nomaximal, Sylow
263C24×C11—22no—
264C24×C11—22no—
265C24×C11—24no—
266C24×C11—42no—
267C24×C11C22×C414yes—
268C24×C11C2411yescharacteristic
269C24×C11C2411yescharacteristic
270C24×C11C2411yescharacteristic
271C23×D11—22no—
272C23×D11—22no—
273C23×D11—24no—
274C23×D11—24no—
275C23×D11—22no—
276C23×D11—22no—
277C23×D11—22no—
278C23×D11—22no—
279C23×D11—24no—
280C23×D11—24no—
281C23×D11—24no—
282C23×D11—416no—
283C23×D11—416no—
284C23×D11—416no—
285C23×D11—42no—
286C23×D11—42no—
287C23×D11—41no—
288C23×D11—41no—
289C23×D11—41no—
290C23×D11—41no—
291C23×D11—42no—
292C23×D11—42no—
293C23×D11—42no—
294C23×D11—41no—
295C23×D11—42no—
296C23×D11—41no—
297C23×D11—41no—
298C23×D11—42no—
299C23×D11—41no—
300C23×D11—42no—
301C23×D11—42no—
302C23×D11—432no—
303C23×D11—432no—
304C23×D11C22×C414yes—
305C23×D11C22×C414yes—
306C23×D11C22×C414yes—
307C23×D11C22×C414yes—
308C23×D11C22×C414yes—
309C23×D11C22×C414yes—
310C23×D11C22×C414yes—
311C23×D11C2411yescharacteristic
312C23×D11C2411yescharacteristic
313C23×D11C2411yescharacteristic
314C23×D11C2411yescharacteristic
315C23×D11C2411yescharacteristic
316C23×D11C2411yescharacteristic
317C22×C4×C11—22no—
318C22×C4×C11—22no—
319C22×C4×C11—24no—
320C22×C4×C11—42no—
321C22×C4×C11—42no—
322C22×C4×C11—42no—
323C22×C4×C11C22×C414yes—
324C22×C4×C11C22×C414yes—
325C22×C4×C11C2412yes—
326C22×C4×C11C2412yes—
327C22×C4×C11C2412yes—
328C22×C4×C11C2412yes—
329C22×C4×C11C2411yescharacteristic
330C22×C4×C11C2411yescharacteristic
331C22×C4×C11C2411yescharacteristic
332C22×C4×C11C2411yescharacteristic
333C2×C22⋊D11—24no—
334C2×C22⋊D11—24no—
335C2×C22⋊D11—42no—
336C2×C22⋊D11—42no—
337C2×C22⋊D11—416no—
338C2×C22⋊D11C22×C414yes—
339C2×C22⋊D11C22×C414yes—
340C2×C22⋊D11C22×C414yes—
341C2×C22⋊D11C22×C414yes—
342C22×Dic11—24no—
343C22×Dic11—42no—
344C22×Dic11—42no—
345C22×Dic11—42no—
346C22×Dic11C22×C414yes—
347C22×Dic11C2412yes—
348C22×Dic11C2412yes—
349C22×Dic11C2412yes—
350C22×Dic11C2412yes—
351C22×Dic11C2411yescharacteristic
352C22×Dic11C2411yescharacteristic
353C2×D44—24no—
354C2×D44—24no—
355C2×D44—416no—
356C2×D44—41no—
357C2×D44—41no—
358C2×D44—42no—
359C2×D44—41no—
360C2×D44—41no—
361C2×D44—42no—
362C2×D44—41no—
363C2×D44—41no—
364C2×D44—41no—
365C2×D44—41no—
366C2×D44—416no—
367C2×D44C22×C414yes—
368C2×D44C22×C414yes—
369C2×D44C22×C414yes—
370C2×D44C22×C414yes—
371C2×D44C22×C414yes—
372C2×D44C22×C414yes—
373C2×D44C22×C414yes—
374C2×D44C22×C414yes—
375C2×C4×D11—24no—
376C2×C4×D11—24no—
377C2×C4×D11—42no—
378C2×C4×D11—42no—
379C2×C4×D11—42no—
380C2×C4×D11—42no—
381C2×C4×D11—42no—
382C2×C4×D11—42no—
383C2×C4×D11—42no—
384C2×C4×D11—42no—
385C2×C4×D11—42no—
386C2×C4×D11—42no—
387C11×C4⋊C4—42no—
388C11×C4⋊C4—42no—
389C11×C22⋊C4—22no—
390C11×C22⋊C4—24no—
391C11×C22⋊C4—22no—
392C11×C22⋊C4—22no—
393C11×C22⋊C4—22no—
394C11×C22⋊C4—42no—
395C11×C22⋊C4—42no—
396C11×C22⋊C4C22×C414yes—
397C11×C22⋊C4C22×C414yes—
398C11×C22⋊C4C22×C414yes—
399C11×C22⋊C4C22×C414yes—
400C42×C11—42no—
401C42×C11—42no—
402C22⋊Dic11—22no—
403C22⋊Dic11—22no—
404C22⋊Dic11—24no—
405C22⋊Dic11—22no—
406C22⋊Dic11—22no—
407C22⋊Dic11—42no—
408C22⋊Dic11—42no—
409(C2×D11)⋊C4—24no—
410(C2×D11)⋊C4—24no—
411(C2×D11)⋊C4—42no—
412(C2×D11)⋊C4—42no—
413(C2×D11)⋊C4—42no—
414(C2×D11)⋊C4—42no—
415(C2×D11)⋊C4—42no—
416(C2×D11)⋊C4—42no—
417(C2×D11)⋊C4—42no—
418(C2×D11)⋊C4—42no—
419(C2×D11)⋊C4—42no—
420(C2×D11)⋊C4—42no—
421(C2×D11)⋊C4—42no—
422(C2×D11)⋊C4—42no—
423(C2×D11)⋊C4—42no—
424(C2×D11)⋊C4—42no—
425(C2×D11)⋊C4—42no—
426(C2×D11)⋊C4—42no—
427(C2×D11)⋊C4—42no—
428(C2×D11)⋊C4—42no—
429(C2×D11)⋊C4C22×C414yes—
430(C2×D11)⋊C4C22×C414yes—
431(C2×D11)⋊C4C22×C414yes—
432(C2×D11)⋊C4C22×C414yes—
433(C2×D11)⋊C4C22×C414yes—
434(C2×D11)⋊C4C22×C414yes—
435(C2×D11)⋊C4C22×C414yes—
436(C2×D11)⋊C4C22×C414yes—
437C4⋊Dic11—42no—
438C4⋊Dic11—42no—
439Dic11⋊C4—42no—
440Dic11⋊C4—42no—
441C4×Dic11—42no—
442C4×Dic11—42no—
443C4×Dic11—42no—
444C4×Dic11—42no—
445C22×#120—111no—
446#2375—112no—
447#2375—112no—
448#2358—112no—
449#2358—112no—
450#2342—111no—
451#2342—111no—
452#2342—111no—
453#2342D1111yescharacteristic, complemented
454D4×C22⋊C4—111no—
455D4×C22⋊C4—111no—
456D4×C22⋊C4—111no—
457D4×C22⋊C4—111no—
458#2321—112no—
459#2321—112no—
460#2321—112no—
461#2321—112no—
462#2312—111no—
463#2312—111no—
464#2309—111no—
465#2308—111no—
466C2×#379—111no—
467C2×#379—111no—
468C23×C11—21no—
469C23×C11—22no—
470C23×C11—22no—
471C23×C11—21no—
472C23×C11—22no—
473C23×C11—28no—
474C23×C11—28no—
475C23×C11—21no—
476C23×C11—22no—
477C23×C11—21no—
478C23×C11—22no—
479C23×C11—44no—
480C23×C11—48no—
481C23×C11—48no—
482C23×C11C23×C412yes—
483C23×C11C23×C412yes—
484C23×C11C23×C412yes—
485C23×C11H(5,𝔽2)12yes—
486C23×C11H(5,𝔽2)12yes—
487C23×C11H(5,𝔽2)14yes—
488C23×C11C2511yescharacteristic
489C22×D11—21no—
490C22×D11—22no—
491C22×D11—21no—
492C22×D11—28no—
493C22×D11—28no—
494C22×D11—28no—
495C22×D11—28no—
496C22×D11—21no—
497C22×D11—21no—
498C22×D11—21no—
499C22×D11—21no—
500C22×D11—22no—
501C22×D11—22no—
502C22×D11—22no—
503C22×D11—22no—
504C22×D11—22no—
505C22×D11—22no—
506C22×D11—22no—
507C22×D11—22no—
508C22×D11—22no—
509C22×D11—21no—
510C22×D11—21no—
511C22×D11—21no—
512C22×D11—21no—
513C22×D11—21no—
514C22×D11—21no—
515C22×D11—22no—
516C22×D11—28no—
517C22×D11—28no—
518C22×D11—28no—
519C22×D11—28no—
520C22×D11—44no—
521C22×D11—44no—
522C22×D11—44no—
523C22×D11—44no—
524C22×D11—44no—
525C22×D11—44no—
526C22×D11—44no—
527C22×D11—44no—
528C22×D11—44no—
529C22×D11—44no—
530C22×D11—44no—
531C22×D11—44no—
532C22×D11—44no—
533C22×D11—48no—
534C22×D11—48no—
535C22×D11—48no—
536C22×D11—48no—
537C22×D11—48no—
538C22×D11—48no—
539C22×D11—48no—
540C22×D11—48no—
541C22×D11—48no—
542C22×D11—48no—
543C22×D11—4128no—
544C22×D11—48no—
545C22×D11—48no—
546C22×D11—84no—
547C22×D11—84no—
548C22×D11C23×C412yes—
549C22×D11C23×C412yes—
550C22×D11C23×C412yes—
551C22×D11C23×C412yes—
552C22×D11C23×C412yes—
553C22×D11C23×C412yes—
554C22×D11H(5,𝔽2)14yes—
555C2×C4×C11—28no—
556C2×C4×C11—21no—
557C2×C4×C11—22no—
558C2×C4×C11—21no—
559C2×C4×C11—22no—
560C2×C4×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—22no—
563C2×C4×C11—22no—
564C2×C4×C11—22no—
565C2×C4×C11—22no—
566C2×C4×C11—22no—
567C2×C4×C11—22no—
568C2×C4×C11—22no—
569C2×C4×C11—22no—
570C2×C4×C11—22no—
571C2×C4×C11—22no—
572C2×C4×C11—22no—
573C2×C4×C11—22no—
574C2×C4×C11—44no—
575C2×C4×C11—84no—
576C2×C4×C11C23×C412yes—
577C2×C4×C11C23×C412yes—
578C2×C4×C11C23×C412yes—
579C2×C4×C11C23×C412yes—
580C22⋊D11—28no—
581C22⋊D11—28no—
582C22⋊D11—44no—
583C22⋊D11—44no—
584C2×Dic11—22no—
585C2×Dic11—22no—
586C2×Dic11—22no—
587C2×Dic11—22no—
588C2×Dic11—22no—
589C2×Dic11—22no—
590C2×Dic11—22no—
591C2×Dic11—22no—
592C2×Dic11—22no—
593C2×Dic11—22no—
594C2×Dic11—22no—
595C2×Dic11—22no—
596C2×Dic11—22no—
597C2×Dic11—22no—
598C2×Dic11—44no—
599C2×Dic11—84no—
600C2×Dic11C23×C412yes—
601C2×Dic11C23×C412yes—
602D44—28no—
603D44—28no—
604D44—44no—
605D44—44no—
606D44—44no—
607D44—44no—
608D44—44no—
609D44—44no—
610C4×D11—84no—
611C4×D11—84no—
612C4×D11—84no—
613C4×D11—84no—
614C26—111no—
615C23×D4—111no—
616C23×D4—111no—
617C23×D4—111no—
618C2×#120—111no—
619C2×#120—111no—
620C2×#120—111no—
621C2×#120—111no—
622C2×#120—111no—
623C2×#120—111no—
624C2×#120—111no—
625C2×#120—111no—
626C2×#120—1116no—
627C2×C4×D4—112no—
628C2×C4×D4—112no—
629C2×C4×D4—112no—
630C2×C4×D4—112no—
631C2×#117—111no—
632C2×#117C2×D1111yescharacteristic, complemented
633C22×C22⋊C4—111no—
634C22×C22⋊C4—111no—
635C22×C22⋊C4—111no—
636C22×C22⋊C4—112no—
637C22×C22⋊C4—112no—
638C22×C22⋊C4—111no—
639C22×C22⋊C4—111no—
640C22×C22⋊C4—112no—
641C22×C22⋊C4—111no—
642C22×C22⋊C4—111no—
643C22×C22⋊C4—112no—
644C22×C22⋊C4C2×D1111yescharacteristic
645C22×C22⋊C4C2×D1111yescharacteristic
646#390—112no—
647#390—112no—
648#390—112no—
649#390—112no—
650#390—112no—
651#390—112no—
652#390—112no—
653#390—112no—
654#388—112no—
655#388—112no—
656#388—112no—
657#388—112no—
658#388—112no—
659#388—112no—
660#388—112no—
661#388—112no—
662#388—112no—
663#388—112no—
664#388—112no—
665#388—112no—
666#388—112no—
667#388—112no—
668#388C2×D1112yescomplemented
669#388C2×D1112yescomplemented
670#386—112no—
671#386—112no—
672#386—112no—
673#386—112no—
674#386—112no—
675#386—112no—
676#386—112no—
677#386—112no—
678#386—112no—
679#386—112no—
680#386—112no—
681#386—112no—
682#385—112no—
683#385—112no—
684#385—112no—
685#385C2×D1112yescomplemented
686#381—111no—
687#381C2×D1111yescharacteristic, complemented
688#380—111no—
689#380—111no—
690#380—111no—
691#380C2×D1111yescharacteristic, complemented
692#379—111no—
693#379—111no—
694#379—111no—
695#379—111no—
696#379—111no—
697#379—111no—
698#379—111no—
699#379—112no—
700#379—112no—
701#379—111no—
702#379—111no—
703#379—112no—
704#379—112no—
705#379C2×D1111yescharacteristic
706C4×C22⋊C4—111no—
707C4×C22⋊C4—111no—
708C4×C22⋊C4—111no—
709C4×C22⋊C4—112no—
710C4×C22⋊C4—112no—
711C4×C22⋊C4—112no—
712C4×C22⋊C4C2×D1111yescharacteristic, complemented
713C4×C22⋊C4C2×D1112yescomplemented
714C22×C11—22no—
715C22×C11—22no—
716C22×C11—22no—
717C22×C11—22no—
718C22×C11—24no—
719C22×C11—24no—
720C22×C11—24no—
721C22×C11—24no—
722C22×C11—22no—
723C22×C11—22no—
724C22×C11—22no—
725C22×C11—416no—
726C22×C11—42no—
727C22×C11—42no—
728C22×C11#51814yes—
729C22×C11#51814yes—
730C22×C11C24×C411yescharacteristic
731C22×C11C2×H(5,𝔽2)11yescharacteristic
732C22×C11C2×H(5,𝔽2)12yes—
733C22×C11C2×H(5,𝔽2)11yescharacteristic
734C22×C11C2×H(5,𝔽2)12yes—
735C2×D11—22no—
736C2×D11—22no—
737C2×D11—24no—
738C2×D11—24no—
739C2×D11—22no—
740C2×D11—22no—
741C2×D11—22no—
742C2×D11—22no—
743C2×D11—22no—
744C2×D11—22no—
745C2×D11—22no—
746C2×D11—22no—
747C2×D11—22no—
748C2×D11—22no—
749C2×D11—22no—
750C2×D11—22no—
751C2×D11—22no—
752C2×D11—22no—
753C2×D11—22no—
754C2×D11—416no—
755C2×D11—416no—
756C2×D11—416no—
757C2×D11—416no—
758C2×D11—416no—
759C2×D11—416no—
760C2×D11—42no—
761C2×D11—42no—
762C2×D11—42no—
763C2×D11—42no—
764C2×D11—42no—
765C2×D11—42no—
766C2×D11—42no—
767C2×D11—42no—
768C2×D11—42no—
769C2×D11—42no—
770C2×D11—88no—
771C2×D11#51814yes—
772C4×C11—22no—
773C4×C11—22no—
774C4×C11—22no—
775C4×C11—22no—
776C4×C11—42no—
777C4×C11—42no—
778C4×C11—42no—
779C4×C11—42no—
780Dic11—22no—
781Dic11—22no—
782Dic11—42no—
783Dic11—42no—
784Dic11—42no—
785Dic11—42no—
786C25—111no—
787C25—111no—
788C25—111no—
789C25—111no—
790C25—111no—
791C25—111no—
792C25—118no—
793C25—111no—
794C25—442no—
795C25—442no—
796C25—444no—
797C25—444no—
798C25C22×D1111yescharacteristic
799C22×D4—111no—
800C22×D4—111no—
801C22×D4—118no—
802C22×D4—111no—
803C22×D4—111no—
804C22×D4—118no—
805C22×D4—118no—
806C22×D4—111no—
807C22×D4—111no—
808C22×D4—111no—
809C22×D4—111no—
810C22×D4—111no—
811C22×D4—111no—
812C22×D4—111no—
813C22×D4—111no—
814C22×D4—442no—
815C22×D4—442no—
816C22×D4—444no—
817C22×D4—444no—
818C23×C4—111no—
819C23×C4—112no—
820C23×C4—112no—
821C23×C4—112no—
822C23×C4—112no—
823C23×C4—112no—
824C23×C4C22×D1111yescharacteristic
825C23×C4C22×D1112yes—
826C23×C4C22×D1111yescharacteristic
827#120—118no—
828#120—118no—
829#120—118no—
830#120—118no—
831#120—118no—
832#120—118no—
833#120—118no—
834#120—118no—
835C4×D4—444no—
836C4×D4—444no—
837C4×D4—444no—
838C4×D4—444no—
839#117—42no—
840#117—442no—
841C2×C4⋊C4—112no—
842C2×C4⋊C4—112no—
843C2×C4⋊C4—112no—
844C2×C4⋊C4—112no—
845C2×C4⋊C4C22×D1112yescomplemented
846C2×C4⋊C4C22×D1112yescomplemented
847C2×C22⋊C4—42no—
848C2×C22⋊C4—118no—
849C2×C22⋊C4—118no—
850C2×C22⋊C4—111no—
851C2×C22⋊C4—111no—
852C2×C22⋊C4—111no—
853C2×C22⋊C4—111no—
854C2×C22⋊C4—111no—
855C2×C22⋊C4—111no—
856C2×C22⋊C4—111no—
857C2×C22⋊C4—111no—
858C2×C22⋊C4—111no—
859C2×C22⋊C4—111no—
860C2×C22⋊C4—111no—
861C2×C22⋊C4—111no—
862C2×C22⋊C4—112no—
863C2×C22⋊C4—112no—
864C2×C22⋊C4—112no—
865C2×C22⋊C4—112no—
866C2×C22⋊C4—112no—
867C2×C22⋊C4—112no—
868C2×C22⋊C4—112no—
869C2×C22⋊C4—112no—
870C2×C22⋊C4—112no—
871C2×C22⋊C4—112no—
872C2×C22⋊C4—112no—
873C2×C22⋊C4—112no—
874C2×C22⋊C4—112no—
875C2×C22⋊C4—112no—
876C2×C22⋊C4—112no—
877C2×C22⋊C4—112no—
878C2×C22⋊C4—112no—
879C2×C22⋊C4—112no—
880C2×C22⋊C4—112no—
881C2×C22⋊C4—112no—
882C2×C22⋊C4—112no—
883C2×C22⋊C4—112no—
884C2×C22⋊C4—112no—
885C2×C22⋊C4—442no—
886C2×C22⋊C4—442no—
887C2×C22⋊C4—442no—
888C2×C22⋊C4—442no—
889C2×C22⋊C4—444no—
890C2×C22⋊C4—444no—
891C2×C22⋊C4—444no—
892C2×C22⋊C4—442no—
893C2×C22⋊C4—444no—
894C2×C22⋊C4C4×D1118yescomplemented
895C2×C22⋊C4C22×D1111yescharacteristic
896C2×C22⋊C4C22×D1111yescharacteristic
897C2×C22⋊C4C22×D1111yescharacteristic
898C2×C22⋊C4C22×D1112yes—
899C2×C22⋊C4C22×D1111yescharacteristic
900C2×C22⋊C4C22×D1112yes—
901C2×C22⋊C4C22×D1112yes—
902C2×C22⋊C4C22×D1111yescharacteristic
903C2×C22⋊C4C22×D1111yescharacteristic
904C2×C22⋊C4C22×D1111yescharacteristic
905C2×C22⋊C4C22×D1111yescharacteristic
906C2×C42—112no—
907C2×C42—112no—
908C2×C42—112no—
909C2×C42—112no—
910C2×C42C22×D1112yescomplemented
911C2×C42C22×D1112yescomplemented
912#95—112no—
913#95—112no—
914#95—112no—
915#95—112no—
916#95—112no—
917#95—112no—
918#95—112no—
919#95—112no—
920#95C22×D1112yescomplemented
921#95C22×D1112yescomplemented
922#95C22×D1112yescomplemented
923#95C22×D1112yescomplemented
924C2×C11—24no—
925C2×C11—24no—
926C2×C11—42no—
927C2×C11C2×#51811yescharacteristic
928C2×C11C2×#51811yescharacteristic
929C2×C11C2×#51811yescharacteristic
930C2×C11#353212yes—
931C2×C11#353212yes—
932D11—24no—
933D11—42no—
934D11—42no—
935D11—42no—
936D11—42no—
937D11—42no—
938C24—22no—
939C24—22no—
940C24—24no—
941C24—42no—
942C24—111no—
943C24—111no—
944C24—111no—
945C24—111no—
946C24—111no—
947C24—111no—
948C24—114no—
949C24—114no—
950C24—114no—
951C24—114no—
952C24—114no—
953C24—114no—
954C24—114no—
955C24—224no—
956C24—224no—
957C24—224no—
958C24—222no—
959C24—222no—
960C24—224no—
961C24—222no—
962C24—224no—
963C24—222no—
964C24—222no—
965C24—222no—
966C24—441no—
967C24—441no—
968C24—441no—
969C24—441no—
970C24—442no—
971C24—442no—
972C24—442no—
973C24—442no—
974C24—4416no—
975C24—4416no—
976C24—441no—
977C24—441no—
978C24—441no—
979C24—441no—
980C24—442no—
981C24—442no—
982C24—442no—
983C24—442no—
984C24—442no—
985C24—4416no—
986C24—4432no—
987C24—4432no—
988C24C2×C4×D1114yes—
989C24C23×D1111yescharacteristic
990C24C23×D1111yescharacteristic
991C24C23×D1111yescharacteristic
992C2×D4—114no—
993C2×D4—114no—
994C2×D4—114no—
995C2×D4—114no—
996C2×D4—114no—
997C2×D4—114no—
998C2×D4—114no—
999C2×D4—114no—
1000C2×D4—114no—
1001C2×D4—114no—
1002C2×D4—114no—
1003C2×D4—114no—
1004C2×D4—224no—
1005C2×D4—224no—
1006C2×D4—224no—
1007C2×D4—224no—
1008C2×D4—4416no—
1009C2×D4—441no—
1010C2×D4—441no—
1011C2×D4—441no—
1012C2×D4—441no—
1013C2×D4—441no—
1014C2×D4—441no—
1015C2×D4—441no—
1016C2×D4—441no—
1017C2×D4—442no—
1018C2×D4—442no—
1019C2×D4—4416no—
1020C2×D4—442no—
1021C2×D4—442no—
1022C2×D4—4416no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—24no—
1026C22×C4—42no—
1027C22×C4—42no—
1028C22×C4—42no—
1029C22×C4—111no—
1030C22×C4—111no—
1031C22×C4—114no—
1032C22×C4—112no—
1033C22×C4—112no—
1034C22×C4—112no—
1035C22×C4—112no—
1036C22×C4—224no—
1037C22×C4—224no—
1038C22×C4—224no—
1039C22×C4—442no—
1040C22×C4—442no—
1041C22×C4—442no—
1042C22×C4—442no—
1043C22×C4—442no—
1044C22×C4—442no—
1045C22×C4—442no—
1046C22×C4—442no—
1047C22×C4—442no—
1048C22×C4—442no—
1049C22×C4—442no—
1050C22×C4—442no—
1051C22×C4—442no—
1052C22×C4C2×C4×D1114yes—
1053C22×C4C2×C4×D1114yes—
1054C22×C4C23×D1112yes—
1055C22×C4C23×D1112yes—
1056C22×C4C23×D1112yes—
1057C22×C4C23×D1112yes—
1058C22×C4C23×D1111yescharacteristic
1059C22×C4C23×D1111yescharacteristic
1060C22×C4C23×D1111yescharacteristic
1061C22×C4C23×D1111yescharacteristic
1062C4⋊C4—42no—
1063C4⋊C4—42no—
1064C4⋊C4—442no—
1065C4⋊C4—442no—
1066C4⋊C4—442no—
1067C4⋊C4—442no—
1068C22⋊C4—22no—
1069C22⋊C4—22no—
1070C22⋊C4—22no—
1071C22⋊C4—22no—
1072C22⋊C4—24no—
1073C22⋊C4—42no—
1074C22⋊C4—42no—
1075C22⋊C4—114no—
1076C22⋊C4—114no—
1077C22⋊C4—114no—
1078C22⋊C4—114no—
1079C22⋊C4—114no—
1080C22⋊C4—114no—
1081C22⋊C4—114no—
1082C22⋊C4—114no—
1083C22⋊C4—224no—
1084C22⋊C4—224no—
1085C22⋊C4—222no—
1086C22⋊C4—222no—
1087C22⋊C4—222no—
1088C22⋊C4—222no—
1089C22⋊C4—224no—
1090C22⋊C4—442no—
1091C22⋊C4—442no—
1092C22⋊C4—442no—
1093C22⋊C4—442no—
1094C22⋊C4—442no—
1095C22⋊C4—442no—
1096C22⋊C4—442no—
1097C22⋊C4—442no—
1098C22⋊C4—442no—
1099C22⋊C4—442no—
1100C22⋊C4—442no—
1101C22⋊C4—442no—
1102C22⋊C4—442no—
1103C22⋊C4—442no—
1104C22⋊C4—442no—
1105C22⋊C4—442no—
1106C22⋊C4—442no—
1107C22⋊C4—442no—
1108C22⋊C4—442no—
1109C22⋊C4—442no—
1110C22⋊C4C2×C4×D1114yes—
1111C22⋊C4C2×C4×D1114yes—
1112C22⋊C4C2×C4×D1114yes—
1113C22⋊C4C2×C4×D1114yes—
1114C42—42no—
1115C42—42no—
1116C42—442no—
1117C42—442no—
1118C42—442no—
1119C42—442no—
1120C11#3435611yescharacteristic, complemented, Sylow
1121C23—21no—
1122C23—21no—
1123C23—22no—
1124C23—22no—
1125C23—22no—
1126C23—28no—
1127C23—28no—
1128C23—21no—
1129C23—21no—
1130C23—22no—
1131C23—22no—
1132C23—44no—
1133C23—48no—
1134C23—48no—
1135C23—112no—
1136C23—114no—
1137C23—112no—
1138C23—112no—
1139C23—112no—
1140C23—112no—
1141C23—112no—
1142C23—228no—
1143C23—228no—
1144C23—228no—
1145C23—221no—
1146C23—222no—
1147C23—221no—
1148C23—228no—
1149C23—228no—
1150C23—228no—
1151C23—228no—
1152C23—221no—
1153C23—221no—
1154C23—221no—
1155C23—221no—
1156C23—221no—
1157C23—221no—
1158C23—221no—
1159C23—222no—
1160C23—222no—
1161C23—222no—
1162C23—222no—
1163C23—222no—
1164C23—221no—
1165C23—221no—
1166C23—221no—
1167C23—222no—
1168C23—222no—
1169C23—222no—
1170C23—222no—
1171C23—222no—
1172C23—228no—
1173C23—444no—
1174C23—444no—
1175C23—444no—
1176C23—444no—
1177C23—444no—
1178C23—444no—
1179C23—444no—
1180C23—444no—
1181C23—444no—
1182C23—444no—
1183C23—444no—
1184C23—444no—
1185C23—444no—
1186C23—448no—
1187C23—448no—
1188C23—448no—
1189C23—448no—
1190C23—448no—
1191C23—448no—
1192C23—448no—
1193C23—448no—
1194C23—448no—
1195C23—448no—
1196C23—44128no—
1197C23—448no—
1198C23—448no—
1199C23—884no—
1200C23—884no—
1201C23C22×C4×D1112yes—
1202C23C22×C4×D1112yes—
1203C23C22×C4×D1112yes—
1204C23#6703712yes—
1205C23#6704214yes—
1206C23#6704212yes—
1207C23C24×D1111yescharacteristic
1208D4—228no—
1209D4—228no—
1210D4—228no—
1211D4—228no—
1212D4—444no—
1213D4—444no—
1214D4—444no—
1215D4—444no—
1216D4—444no—
1217D4—444no—
1218D4—444no—
1219D4—444no—
1220C2×C4—28no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—22no—
1226C2×C4—22no—
1227C2×C4—22no—
1228C2×C4—22no—
1229C2×C4—22no—
1230C2×C4—22no—
1231C2×C4—22no—
1232C2×C4—22no—
1233C2×C4—22no—
1234C2×C4—22no—
1235C2×C4—22no—
1236C2×C4—22no—
1237C2×C4—22no—
1238C2×C4—22no—
1239C2×C4—44no—
1240C2×C4—84no—
1241C2×C4—112no—
1242C2×C4—112no—
1243C2×C4—222no—
1244C2×C4—222no—
1245C2×C4—222no—
1246C2×C4—222no—
1247C2×C4—222no—
1248C2×C4—222no—
1249C2×C4—222no—
1250C2×C4—222no—
1251C2×C4—222no—
1252C2×C4—222no—
1253C2×C4—222no—
1254C2×C4—222no—
1255C2×C4—222no—
1256C2×C4—222no—
1257C2×C4—444no—
1258C2×C4—884no—
1259C2×C4—884no—
1260C2×C4—884no—
1261C2×C4—884no—
1262C2×C4—884no—
1263C2×C4C22×C4×D1112yes—
1264C2×C4C22×C4×D1112yes—
1265C2×C4C22×C4×D1112yes—
1266C2×C4C22×C4×D1112yes—
1267C22—24no—
1268C22—24no—
1269C22—24no—
1270C22—24no—
1271C22—22no—
1272C22—22no—
1273C22—22no—
1274C22—22no—
1275C22—22no—
1276C22—22no—
1277C22—22no—
1278C22—416no—
1279C22—42no—
1280C22—42no—
1281C22—114no—
1282C22—224no—
1283C22—224no—
1284C22—222no—
1285C22—222no—
1286C22—222no—
1287C22—222no—
1288C22—222no—
1289C22—222no—
1290C22—222no—
1291C22—222no—
1292C22—222no—
1293C22—222no—
1294C22—222no—
1295C22—222no—
1296C22—222no—
1297C22—222no—
1298C22—222no—
1299C22—222no—
1300C22—222no—
1301C22—4416no—
1302C22—4416no—
1303C22—4416no—
1304C22—4416no—
1305C22—4416no—
1306C22—4416no—
1307C22—442no—
1308C22—442no—
1309C22—442no—
1310C22—442no—
1311C22—442no—
1312C22—442no—
1313C22—442no—
1314C22—442no—
1315C22—442no—
1316C22—442no—
1317C22—888no—
1318C22#1062305214yes—
1319C22#1062307614yes—
1320C22C23×C4×D1111yescharacteristic
1321C22C2×#6703711yescharacteristic
1322C22C2×#6704212yes—
1323C22C2×#6704211yescharacteristic
1324C22D11×H(5,𝔽2)12yes—
1325C4—22no—
1326C4—22no—
1327C4—22no—
1328C4—22no—
1329C4—42no—
1330C4—42no—
1331C4—42no—
1332C4—42no—
1333C4—222no—
1334C4—222no—
1335C4—442no—
1336C4—442no—
1337C4—442no—
1338C4—442no—
1339C2—24no—
1340C2—24no—
1341C2—42no—
1342C2—224no—
1343C2—442no—
1344C2—442no—
1345C2—442no—
1346C2—442no—
1347C2—442no—
1348C2D11×#51811yescharacteristic
1349C2C2×#1062307611yescharacteristic
1350C2C2×#1062305211yescharacteristic
1351C2#1308276512yes—
1352C2#1308277212yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2342C2
socle, cosocleC23×C11C25
prime radicalC22×#66935C2
hypercenter#2342D11
hypocenterC11#34356
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
2. #13071756C2semidirect
3. #13071756C2semidirect
4. #13071598C2semidirect
5. #13071592C2semidirect
6. #13071466C2semidirect
7. #13071465C2semidirect
8. #13071458C2semidirect
9. C22⋊C4×D44C2semidirect
10. #13071436C2semidirect
11. C22⋊C4×C22⋊D11C2semidirect
12. #13071432C2semidirect
13. #13071278C2semidirect
14. #13071276C2semidirect
15. #13071273C2semidirect
16. #13071269C2semidirect
17. #13071213C2semidirect
18. #13071211C2semidirect
19. #13071196C2semidirect
20. #13071193C2semidirect
21. C2×#10622568C2semidirect
22. D11×#379C2semidirect
23. C11×#2342C2semidirect
28. C2×C11×#117C22semidirect
32. C2×C4×C22⋊D11C22semidirect
35. C22×(C2×D11)⋊C4C22semidirect
36. C22×(C2×D11)⋊C4C22semidirect
37. C2×#66979C22semidirect
38. C2×#66946C22semidirect
39. C2×#66935C4semidirect
48. C2×(C22⋊D11)⋊C4C22semidirect
51. C2×C22⋊C4×D11C22semidirect
52. C2×C22⋊C4×D11C22semidirect
53. C2×C22⋊C4×D11C22semidirect
54. C2×C22⋊C4×D11C22semidirect
55. C2×C4×D44C22semidirect
56. C11×#388C22semidirect
57. C11×#388C22semidirect
58. C11×#385C22semidirect
59. C11×#381C22semidirect
60. C11×#380C22semidirect
62. C4×C11×C22⋊C4C22semidirect
63. C4×C11×C22⋊C4C22semidirect
65. #10622826C22semidirect
66. #10622825C22semidirect
67. #10622824C22semidirect
68. C4×C22⋊Dic11C22semidirect
69. #10622603C22semidirect
70. #10622603C22semidirect
71. #10622603C22semidirect
72. #10622602C22semidirect
73. #10622601C22semidirect
74. #10622601C22semidirect
75. #10622601C22semidirect
76. #10622571C22semidirect
77. #10622570C22semidirect
78. #10622570C22semidirect
79. #10622569C22semidirect
80. #10622569C22semidirect
87. #10622568C22semidirect
88. #10622568C22semidirect
89. #10622568C22semidirect
90. #10622568C22semidirect
91. #10622568C22semidirect
92. #10622568C22semidirect
93. #10622564C22semidirect
94. #10622564C22semidirect
95. #10622563C22semidirect
96. #10622555C22semidirect
97. #10622555C22semidirect
98. C22⋊C4×Dic11C22semidirect
99. C22⋊C4×Dic11C22semidirect
100. C22⋊C4×Dic11C22semidirect
101. #10622553C22semidirect
102. #10622553C22semidirect
103. #10622553C22semidirect
104. #10622552C22semidirect
105. #10622552C22semidirect
106. #10622552C22semidirect
107. C4×(C2×D11)⋊C4C22semidirect
108. #10622283C22semidirect
109. #10622283C22semidirect
110. #10622283C22semidirect
111. #10622282C22semidirect
112. #10622282C22semidirect
113. #10622282C22semidirect
114. #10622281C22semidirect
115. #10622279C22semidirect
116. #10622278C22semidirect
117. #10622278C22semidirect
118. #10622278C22semidirect
119. #10622278C22semidirect
120. #10622278C22semidirect
121. #10622278C22semidirect
122. #10622278C22semidirect
123. #10622278C22semidirect
129. C24×D11C2×C4semidirect
141. C22×C22⋊D11C2×C4semidirect
151. C22×D44C2×C4semidirect
152. C22×D44C2×C4semidirect
163. C22×C4×D11C23semidirect
164. C22×C4×D11C23semidirect
166. C2×C11×C4⋊C4C23semidirect
167. C2×C11×C4⋊C4C23semidirect
169. C2×C11×C22⋊C4C2×C4semidirect
181. C2×C42×C11C23semidirect
182. C2×C42×C11C23semidirect
194. C2×(C2×D11)⋊C4C2×C4semidirect
195. C2×(C2×D11)⋊C4C2×C4semidirect
218. C2×(C2×D11)⋊C4C23semidirect
219. C2×(C2×D11)⋊C4C23semidirect
220. C2×(C2×D11)⋊C4C23semidirect
221. C2×(C2×D11)⋊C4C23semidirect
222. C2×(C2×D11)⋊C4C23semidirect
223. C2×(C2×D11)⋊C4C23semidirect
225. C2×C4⋊Dic11C23semidirect
226. C2×C4⋊Dic11C23semidirect
227. C2×Dic11⋊C4C23semidirect
228. C2×Dic11⋊C4C23semidirect
229. C2×C4×Dic11C23semidirect
230. C2×C4×Dic11C23semidirect
231. C2×C4×Dic11C23semidirect
232. C2×C4×Dic11C23semidirect
234. #66935C2×C4semidirect
235. #66935C2×C4semidirect
236. #66935C2×C4semidirect
237. #66935C2×C4semidirect
238. #66935C2×C4semidirect
239. #66935C2×C4semidirect
240. #66935C2×C4semidirect
241. #66935C2×C4semidirect
250. C11×#95C23semidirect
251. C11×#95C23semidirect
252. C11×#95C23semidirect
253. C11×#95C23semidirect
254. C11⋊#95C23semidirect
255. C11⋊#95C23semidirect
256. C11⋊#95C23semidirect
257. C11⋊#95C23semidirect
258. C11⋊#95C23semidirect
259. C11⋊#95C23semidirect
260. C11⋊#95C23semidirect
261. C11⋊#95C23semidirect
453. #2342D11semidirect
632. C2×#117C2×D11semidirect
668. #388C2×D11semidirect
669. #388C2×D11semidirect
685. #385C2×D11semidirect
687. #381C2×D11semidirect
691. #380C2×D11semidirect
712. C4×C22⋊C4C2×D11semidirect
713. C4×C22⋊C4C2×D11semidirect
845. C2×C4⋊C4C22×D11semidirect
846. C2×C4⋊C4C22×D11semidirect
894. C2×C22⋊C4C4×D11semidirect
910. C2×C42C22×D11semidirect
911. C2×C42C22×D11semidirect
920. #95C22×D11semidirect
921. #95C22×D11semidirect
922. #95C22×D11semidirect
923. #95C22×D11semidirect
1120. C11#34356semidirect

Maximal subgroups

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

subgroupindex
C22×#669352
#130717562
#130715982
#130715922
#130714662
#130714652
#130714582
C22⋊C4×D442
#130714362
C22⋊C4×C22⋊D112
#130714322
#130712782
#130712762
#130712732
#130712692
#130712132
#130712112
#130711962
#130711932
C2×#106225682
D11×#3792
C11×#23422
#3435611