Finite Group Databasebeta

← #14914417

Subgroups — #14914417

Order 2816.

2726 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623322C211yesmaximal, characteristic
2#13071699C212yesmaximal, complemented
3#13071666C212yesmaximal, complemented
4#13071595C214yesmaximal, complemented
5#13071590C212yesmaximal, complemented
6#13071559C212yesmaximal, complemented
7#13071472C212yesmaximal, complemented
8#13071443C212yesmaximal, complemented
9#13071381C212yesmaximal, complemented
10#13071372C212yesmaximal, complemented
11#13071243C212yesmaximal, complemented
12C4×#66982C214yesmaximal, complemented
13C2×#10622824C211yesmaximal, characteristic, complemented
14#13070975C212yesmaximal, complemented
15C2×C4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
16C24×C4×C11C2211yescharacteristic
17C22×#4339C2211yescharacteristic
18C22×C11×C22⋊C4C2212yes—
19C22×C42×C11C2212yes—
20C2×#67006C2212yes—
21C22×C22⋊Dic11C2212yes—
22#10623322C4116yescomplemented
23C2×#66983C2211yescharacteristic
24C2×#66983C2211yescharacteristic
25C2×#66982C2212yes—
26C2×C4×C22⋊D11C2214yes—
27C2×C4×C22⋊D11C2212yes—
28C2×C4×C22⋊D11C2212yes—
29C2×#66979C2211yescharacteristic
30C2×#66977C2211yescharacteristic
31C2×#66977C2211yescharacteristic
32C2×(C22⋊D11)⋊C4C2214yes—
33C4×C11×C22⋊C4C2212yes—
34C4×C11×C22⋊C4C2212yes—
35C4×C11×C22⋊C4C2211yescharacteristic
36C4×C11×C22⋊C4C2211yescharacteristic
37C4×C11×C22⋊C4C2212yes—
38C2×C11×#95C2212yes—
39#10622826C2214yes—
40#10622824C2212yes—
41#10622824C2212yes—
42#10622824C2212yes—
43#10622824C2211yescharacteristic
44#10622824C2211yescharacteristic
45#10622823C2214yes—
46C4×C22⋊Dic11C2214yes—
47C2×C11⋊#95C2212yes—
48C2×C11⋊#95C2212yes—
49#10622571C2214yes—
50#10622570C2214yes—
51#10622569C2214yes—
52#10622559C2214yes—
53#10622558C2214yes—
54#10622557C2214yes—
55C22⋊C4×Dic11C2214yes—
56#10622553C2214yescomplemented
57#10622553C2214yescomplemented
58C4×(C2×D11)⋊C4C2214yescomplemented
59C4×(C2×D11)⋊C4C2214yescomplemented
60#10622546C2214yescomplemented
61#10622546C2214yescomplemented
62C4×Dic11⋊C4C2214yescomplemented
63C4×Dic11⋊C4C2214yescomplemented
64#10622280C2212yescomplemented
65#10622279C2212yescomplemented
66#10622278C2214yescomplemented
67#10622277C2212yescomplemented
68D11×#95C2212yescomplemented
69#10622267C2214yescomplemented
70#10622266C2214yescomplemented
71#10622264C2212yescomplemented
72#10622263C2212yescomplemented
73#10622262C2212yescomplemented
74#10622261C2212yescomplemented
75#10622259C2214yescomplemented
76C25×C11C2311yescharacteristic
77C23×C4×C11—44no—
78C23×C4×C11C2×C418yescomplemented
79C23×C4×C11C2314yes—
80C23×C4×C11C2311yescharacteristic
81C23×C4×C11C2311yescharacteristic
82C23×C4×C11C2311yescharacteristic
83C23×C4×C11C2311yescharacteristic
84C23×C4×C11C2311yescharacteristic
85C23×C4×C11C2311yescharacteristic
86C22×C22⋊D11C2312yes—
87C22×C22⋊D11C2312yes—
88C22×C22⋊D11C2312yes—
89C23×Dic11C2314yes—
90C2×#4339—44no—
91C2×#4339C2×C418yescomplemented
92C22×D44C2311yescharacteristic
93C22×C4×D11C2314yes—
94C22×C4×D11C2312yes—
95C22×Dic22C2311yescharacteristic
96C2×C11×C22⋊C4—28no—
97C2×C11×C22⋊C4C2314yes—
98C2×C11×C22⋊C4C2312yes—
99C2×C11×C22⋊C4C2312yes—
100C2×C42×C11—44no—
101C2×C42×C11C2312yes—
102C2×C42×C11C2314yes—
103C2×C42×C11C2312yes—
104#67006C2×C4116yescomplemented
105C2×C22⋊Dic11—44no—
106C2×C22⋊Dic11C2314yes—
107C2×C22⋊Dic11C2312yes—
108C2×C22⋊Dic11C2312yes—
109C2×C22⋊Dic11C2312yes—
110C2×C22⋊Dic11C2312yes—
111C2×C22⋊Dic11C2312yes—
112#66983C2×C418yescomplemented
113#66983C2×C418yescomplemented
114#66982C2×C4116yescomplemented
115C4×C22⋊D11—48no—
116C4×C22⋊D11C2×C4116yescomplemented
117C4×C22⋊D11C2×C4116yescomplemented
118C2×(C2×D11)⋊C4C2314yes—
119C2×(C2×D11)⋊C4C2314yes—
120C2×(C2×D11)⋊C4C2314yes—
121C2×(C2×D11)⋊C4C2312yes—
122C2×(C2×D11)⋊C4C2312yes—
123#66979C2×C418yescomplemented
124C2×C4⋊Dic11C2311yescharacteristic
125C2×C4⋊Dic11C2311yescharacteristic
126#66977C2×C418yescomplemented
127#66977C2×C418yescomplemented
128C2×Dic11⋊C4C2314yes—
129C2×Dic11⋊C4C2314yes—
130C2×Dic11⋊C4C2314yes—
131C2×Dic11⋊C4C2312yes—
132C2×Dic11⋊C4C2312yes—
133C2×C4×Dic11C2314yes—
134C2×C4×Dic11C2314yes—
135C2×C4×Dic11C2314yes—
136C2×C4×Dic11C2312yes—
137(C22⋊D11)⋊C4—216no—
138C11×#95C2314yes—
139C11×#95C2312yes—
140C11×#95C2312yes—
141C11⋊#95C2314yes—
142C11⋊#95C2314yes—
143C11⋊#95C2314yes—
144C11⋊#95C2312yes—
145C11⋊#95C2314yes—
146C11⋊#95C2312yes—
147C11⋊#95C2314yes—
148C11⋊#95C2314yes—
149C11⋊#95C2314yes—
150C11⋊#95C2312yes—
151C11⋊#95C2314yes—
152C11⋊#95C2312yes—
153#34228—111nomaximal, Sylow
154C24×C11—24no—
155C24×C11—24no—
156C24×C11—42no—
157C24×C11C22×C414yes—
158C24×C11C2411yescharacteristic
159C24×C11C2411yescharacteristic
160C24×C11C2411yescharacteristic
161C23×D11C2412yes—
162C22×C4×C11—24no—
163C22×C4×C11—24no—
164C22×C4×C11—28no—
165C22×C4×C11—28no—
166C22×C4×C11—416no—
167C22×C4×C11—42no—
168C22×C4×C11—42no—
169C22×C4×C11—42no—
170C22×C4×C11—42no—
171C22×C4×C11—44no—
172C22×C4×C11C22×C414yes—
173C22×C4×C11C22×C414yes—
174C22×C4×C11C22×C414yes—
175C22×C4×C11C22×C414yes—
176C22×C4×C11C22×C414yes—
177C22×C4×C11C22×C414yes—
178C22×C4×C11C2414yes—
179C22×C4×C11C2411yescharacteristic
180C22×C4×C11C2411yescharacteristic
181C22×C4×C11C2411yescharacteristic
182C22×C4×C11C2411yescharacteristic
183C22×C4×C11C2414yes—
184C2×C22⋊D11—28no—
185C2×C22⋊D11—28no—
186C2×C22⋊D11—42no—
187C2×C22⋊D11—42no—
188C2×C22⋊D11C22×C418yes—
189C2×C22⋊D11C22×C418yes—
190C2×C22⋊D11C22×C418yes—
191C22×Dic11—28no—
192C22×Dic11—44no—
193C22×Dic11—44no—
194C22×Dic11C2414yes—
195C22×Dic11C2414yes—
196C22×Dic11C2412yes—
197C22×Dic11C2412yes—
198C22×Dic11C2412yes—
199#4339—416no—
200C2×D44—42no—
201C2×D44C22×C414yes—
202C2×C4×D11—28no—
203C2×C4×D11—44no—
204C2×C4×D11—44no—
205C2×C4×D11—44no—
206C2×C4×D11C22×C418yes—
207C2×Dic22—42no—
208C2×Dic22C22×C414yes—
209C11×C22⋊C4—24no—
210C11×C22⋊C4—28no—
211C11×C22⋊C4#4118yescomplemented
212C42×C11—42no—
213C42×C11—44no—
214C42×C11—42no—
215C22⋊Dic11—28no—
216C22⋊Dic11—42no—
217C22⋊Dic11—42no—
218C22⋊Dic11C22×C418yes—
219C22⋊Dic11C22×C418yes—
220C22⋊Dic11C22×C418yes—
221(C2×D11)⋊C4—28no—
222(C2×D11)⋊C4—44no—
223(C2×D11)⋊C4—44no—
224(C2×D11)⋊C4C22×C418yes—
225(C2×D11)⋊C4C22×C418yes—
226C4⋊Dic11C22×C414yes—
227C4⋊Dic11C22×C414yes—
228Dic11⋊C4—28no—
229Dic11⋊C4—44no—
230Dic11⋊C4—44no—
231Dic11⋊C4C22×C418yes—
232Dic11⋊C4C22×C418yes—
233C4×Dic11—28no—
234C4×Dic11—44no—
235C4×Dic11—44no—
236C4×Dic11C22×C418yes—
237C2×#525—111no—
238#2368—112no—
239#2364—112no—
240#2358—114no—
241#2357—112no—
242#2353—112no—
243#2343—112no—
244#2339—112no—
245#2333—112no—
246#2332—112no—
247#2318—112no—
248C4×#123—114no—
249C2×#381—111no—
250#2275—112no—
251C2×C4×C22⋊C4D1111yescharacteristic, complemented
252C23×C11—22no—
253C23×C11—22no—
254C23×C11—22no—
255C23×C11—22no—
256C23×C11—28no—
257C23×C11—28no—
258C23×C11—22no—
259C23×C11—22no—
260C23×C11—22no—
261C23×C11—44no—
262C23×C11—416no—
263C23×C11C23×C412yes—
264C23×C11C23×C412yes—
265C23×C11C23×C412yes—
266C23×C11C2×#4114yes—
267C23×C11H(5,𝔽2)14yes—
268C23×C11C2511yescharacteristic
269C22×D11—24no—
270C22×D11—24no—
271C22×D11—22no—
272C22×D11—22no—
273C22×D11C23×C414yes—
274C2×C4×C11—28no—
275C2×C4×C11—28no—
276C2×C4×C11—24no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—24no—
284C2×C4×C11—24no—
285C2×C4×C11—44no—
286C2×C4×C11—44no—
287C2×C4×C11—44no—
288C2×C4×C11—44no—
289C2×C4×C11—416no—
290C2×C4×C11C23×C412yes—
291C2×C4×C11C23×C412yes—
292C2×C4×C11C23×C412yes—
293C2×C4×C11C23×C412yes—
294C2×C4×C11C2×#4118yes—
295C22⋊D11—216no—
296C22⋊D11—216no—
297C22⋊D11—48no—
298C2×Dic11—24no—
299C2×Dic11—24no—
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—24no—
303C2×Dic11—24no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—24no—
308C2×Dic11—88no—
309C2×Dic11C23×C414yes—
310C2×Dic11C23×C414yes—
311C2×Dic11C23×C414yes—
312D44—44no—
313C4×D11—48no—
314C4×D11—88no—
315Dic22—44no—
316C22×#41—111no—
317C24×C4C2×D1111yescharacteristic
318#525—1116no—
319C2×#123—112no—
320C2×C22⋊Q8—111no—
321C2×C22⋊Q8—111no—
322C2×#121—111no—
323C2×#121—111no—
324C2×#120—112no—
325C2×C4×D4—112no—
326C2×C4×D4—112no—
327C2×C4×D4—114no—
328C2×C4×D4—114no—
329C2×#117—111no—
330C22×C22⋊C4—112no—
331C22×C22⋊C4C2×D1112yes—
332C22×C42C2×D1112yes—
333#391—114no—
334#390—114no—
335#388—114no—
336#388—114no—
337#388—114no—
338#388—114no—
339#387—114no—
340#387—114no—
341#387—114no—
342#387—114no—
343#386—114no—
344#386—114no—
345#386—114no—
346#386—114no—
347#385—114no—
348#385—114no—
349#383—112no—
350#382—112no—
351#381—112no—
352#381—112no—
353#381—111no—
354#381—111no—
355#381—112no—
356#381—112no—
357#380—112no—
358C4×C4⋊C4—114no—
359C4×C4⋊C4—114no—
360C4×C4⋊C4—112no—
361C4×C22⋊C4—114no—
362C4×C22⋊C4—114no—
363C4×C22⋊C4—114no—
364C4×C22⋊C4—114no—
365C4×C22⋊C4—112no—
366C4×C22⋊C4C2×D1111yescharacteristic
367C4×C22⋊C4C2×D1112yes—
368C4×C22⋊C4C2×D1112yes—
369C4×C22⋊C4C2×D1112yes—
370C4×C22⋊C4C2×D1111yescharacteristic
371#376—112no—
372C2×#95—112no—
373C2×#95—112no—
374C2×#95—112no—
375C2×#95C2×D1112yes—
376C22×C11—22no—
377C22×C11—22no—
378C22×C11—22no—
379C22×C11—22no—
380C22×C11—28no—
381C22×C11—28no—
382C22×C11—22no—
383C22×C11—22no—
384C22×C11—22no—
385C22×C11—416no—
386C22×C11—44no—
387C22×C11C4×#4114yes—
388C22×C11#51814yes—
389C22×C11C24×C411yescharacteristic
390C22×C11C22×#4112yes—
391C22×C11C2×H(5,𝔽2)12yes—
392C22×C11#58512yes—
393C2×D11—24no—
394C2×D11—24no—
395C2×D11—24no—
396C2×D11—44no—
397C2×D11—44no—
398C4×C11—22no—
399C4×C11—22no—
400C4×C11—22no—
401C4×C11—22no—
402C4×C11—28no—
403C4×C11—44no—
404Dic11—24no—
405Dic11—24no—
406Dic11—24no—
407Dic11—44no—
408Dic11—44no—
409C25C22×D1111yescharacteristic
410C2×#41—118no—
411C2×#41—444no—
412C22×Q8—111no—
413C22×D4—112no—
414C22×D4—112no—
415C22×D4—112no—
416C22×D4—111no—
417C23×C4—44no—
418C23×C4—112no—
419C23×C4—114no—
420C23×C4—114no—
421C23×C4C4×D1118yescomplemented
422C23×C4C22×D1114yes—
423C23×C4C22×D1111yescharacteristic
424C23×C4C22×D1111yescharacteristic
425C23×C4C22×D1111yescharacteristic
426C23×C4C22×D1111yescharacteristic
427C23×C4C22×D1111yescharacteristic
428C23×C4C22×D1111yescharacteristic
429#123—1116no—
430C22⋊Q8—118no—
431C22⋊Q8—118no—
432#121—118no—
433#121—118no—
434#120—1116no—
435C4×D4—1116no—
436C4×D4—1116no—
437C4×D4—2216no—
438C4×D4—448no—
439#117—118no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—112no—
443C2×C4⋊C4—112no—
444C2×C4⋊C4—114no—
445C2×C4⋊C4—114no—
446C2×C4⋊C4—114no—
447C2×C22⋊C4—28no—
448C2×C22⋊C4—112no—
449C2×C22⋊C4—112no—
450C2×C22⋊C4—112no—
451C2×C22⋊C4—112no—
452C2×C22⋊C4—112no—
453C2×C22⋊C4—114no—
454C2×C22⋊C4—114no—
455C2×C22⋊C4—112no—
456C2×C22⋊C4—112no—
457C2×C22⋊C4—114no—
458C2×C22⋊C4—114no—
459C2×C22⋊C4—444no—
460C2×C22⋊C4C22×D1112yes—
461C2×C22⋊C4C22×D1114yes—
462C2×C22⋊C4C22×D1112yes—
463C2×C42—44no—
464C2×C42—112no—
465C2×C42—114no—
466C2×C42—114no—
467C2×C42—114no—
468C2×C42C22×D1112yes—
469C2×C42C22×D1114yes—
470C2×C42C22×D1112yes—
471#95—112no—
472#95—112no—
473#95—112no—
474#95—114no—
475#95—114no—
476#95—112no—
477#95—114no—
478#95—114no—
479#95—114no—
480#95—114no—
481#95—114no—
482#95—114no—
483#95C22×D1112yes—
484#95C22×D1112yes—
485#95C22×D1114yes—
486C2×C11—24no—
487C2×C11—24no—
488C2×C11—42no—
489C2×C11C2×C4×#4111yescharacteristic
490C2×C11C2×#51811yescharacteristic
491C2×C11#342811yescharacteristic
492C2×C11#351314yes—
493D11—44no—
494C24—24no—
495C24—24no—
496C24—42no—
497C24—112no—
498C24C2×C4×D1114yes—
499C24C23×D1111yescharacteristic
500C24C23×D1111yescharacteristic
501C24C23×D1111yescharacteristic
502#41—4416no—
503C2×Q8—114no—
504C2×Q8—442no—
505C2×D4—118no—
506C2×D4—118no—
507C2×D4—118no—
508C2×D4—114no—
509C2×D4—228no—
510C2×D4—228no—
511C2×D4—442no—
512C2×D4—442no—
513C2×D4—442no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—28no—
517C22×C4—28no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—416no—
523C22×C4—44no—
524C22×C4—112no—
525C22×C4—112no—
526C22×C4—112no—
527C22×C4—118no—
528C22×C4—114no—
529C22×C4—114no—
530C22×C4—228no—
531C22×C4—228no—
532C22×C4—444no—
533C22×C4—444no—
534C22×C4—444no—
535C22×C4—444no—
536C22×C4—444no—
537C22×C4C2×C4×D1114yes—
538C22×C4C2×C4×D1114yes—
539C22×C4C2×C4×D1114yes—
540C22×C4C2×C4×D1114yes—
541C22×C4C2×C4×D1114yes—
542C22×C4C2×C4×D1114yes—
543C22×C4C23×D1114yes—
544C22×C4C23×D1111yescharacteristic
545C22×C4C23×D1111yescharacteristic
546C22×C4C23×D1111yescharacteristic
547C22×C4C23×D1111yescharacteristic
548C22×C4C23×D1114yes—
549C4⋊C4—114no—
550C4⋊C4—114no—
551C4⋊C4—118no—
552C4⋊C4—118no—
553C4⋊C4—228no—
554C4⋊C4—444no—
555C4⋊C4—444no—
556C22⋊C4—24no—
557C22⋊C4—28no—
558C22⋊C4—118no—
559C22⋊C4—118no—
560C22⋊C4—118no—
561C22⋊C4—118no—
562C22⋊C4—118no—
563C22⋊C4—228no—
564C22⋊C4—228no—
565C22⋊C4—444no—
566C22⋊C4—444no—
567C22⋊C4—442no—
568C22⋊C4—442no—
569C22⋊C4#433918yescomplemented
570C42—42no—
571C42—44no—
572C42—42no—
573C42—118no—
574C42—228no—
575C42—444no—
576C42—444no—
577C11#3422811yescharacteristic, complemented, Sylow
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—28no—
583C23—28no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—44no—
588C23—416no—
589C23—114no—
590C23—224no—
591C23—224no—
592C23—222no—
593C23—222no—
594C23C22×C4×D1112yes—
595C23C22×C4×D1112yes—
596C23C22×C4×D1112yes—
597C23C2×#433914yes—
598C23#6703714yes—
599C23C24×D1111yescharacteristic
600Q8—444no—
601D4—2216no—
602D4—2216no—
603D4—444no—
604D4—448no—
605C2×C4—28no—
606C2×C4—28no—
607C2×C4—24no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—44no—
620C2×C4—416no—
621C2×C4—114no—
622C2×C4—114no—
623C2×C4—114no—
624C2×C4—224no—
625C2×C4—224no—
626C2×C4—222no—
627C2×C4—222no—
628C2×C4—224no—
629C2×C4—224no—
630C2×C4—224no—
631C2×C4—224no—
632C2×C4—224no—
633C2×C4—224no—
634C2×C4—448no—
635C2×C4—888no—
636C2×C4—888no—
637C2×C4C22×C4×D1112yes—
638C2×C4C22×C4×D1112yes—
639C2×C4C22×C4×D1112yes—
640C2×C4C22×C4×D1112yes—
641C2×C4C2×#433918yes—
642C22—28no—
643C22—28no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—416no—
652C22—44no—
653C22—224no—
654C22—224no—
655C22—224no—
656C22—444no—
657C22—444no—
658C22C4×#433914yes—
659C22#1062301714yes—
660C22C23×C4×D1111yescharacteristic
661C22C22×#433912yes—
662C22C2×#6703712yes—
663C22#1062345312yes—
664C4—28no—
665C4—22no—
666C4—22no—
667C4—22no—
668C4—22no—
669C4—44no—
670C4—224no—
671C4—224no—
672C4—224no—
673C4—444no—
674C4—444no—
675C2—24no—
676C2—24no—
677C2—42no—
678C2—444no—
679C2C2×C4×#433911yescharacteristic
680C2C2×#1062301711yescharacteristic
681C2#1308181711yescharacteristic
682C2#1308255614yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC2×C4×C11×C22⋊C4C2
socle, cosocleC23×C11C25
prime radicalC2×#10623322C2
hypercenterC2×C4×C22⋊C4D11
hypocenterC11#34228
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. #13071699C2semidirect
3. #13071666C2semidirect
4. #13071595C2semidirect
5. #13071590C2semidirect
6. #13071559C2semidirect
7. #13071472C2semidirect
8. #13071443C2semidirect
9. #13071381C2semidirect
10. #13071372C2semidirect
11. #13071243C2semidirect
12. C4×#66982C2semidirect
13. C2×#10622824C2semidirect
14. #13070975C2semidirect
15. C2×C4×C11×C22⋊C4C2semidirect
22. #10623322C4semidirect
56. #10622553C22semidirect
57. #10622553C22semidirect
58. C4×(C2×D11)⋊C4C22semidirect
59. C4×(C2×D11)⋊C4C22semidirect
60. #10622546C22semidirect
61. #10622546C22semidirect
62. C4×Dic11⋊C4C22semidirect
63. C4×Dic11⋊C4C22semidirect
64. #10622280C22semidirect
65. #10622279C22semidirect
66. #10622278C22semidirect
67. #10622277C22semidirect
68. D11×#95C22semidirect
69. #10622267C22semidirect
70. #10622266C22semidirect
71. #10622264C22semidirect
72. #10622263C22semidirect
73. #10622262C22semidirect
74. #10622261C22semidirect
75. #10622259C22semidirect
78. C23×C4×C11C2×C4semidirect
91. C2×#4339C2×C4semidirect
104. #67006C2×C4semidirect
112. #66983C2×C4semidirect
113. #66983C2×C4semidirect
114. #66982C2×C4semidirect
116. C4×C22⋊D11C2×C4semidirect
117. C4×C22⋊D11C2×C4semidirect
123. #66979C2×C4semidirect
126. #66977C2×C4semidirect
127. #66977C2×C4semidirect
211. C11×C22⋊C4#41semidirect
251. C2×C4×C22⋊C4D11semidirect
421. C23×C4C4×D11semidirect
569. C22⋊C4#4339semidirect
577. C11#34228semidirect

Maximal subgroups

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

subgroupindex
C2×#106233222
#130716992
#130716662
#130715952
#130715902
#130715592
#130714722
#130714432
#130713812
#130713722
#130712432
C4×#669822
C2×#106228242
#130709752
C2×C4×C11×C22⋊C42
#3422811