Finite Group Databasebeta

← #30625431

Subgroups — #30625431

Order 15616.

2756 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840842C211yesmaximal, characteristic, complemented
2C22×#14519865C211yesmaximal, characteristic, complemented
3#21462565C213yesmaximal, complemented
4#21462558C213yesmaximal, complemented
5#21462554C213yesmaximal, complemented
6#21462552C213yesmaximal, complemented
7#21462546C213yesmaximal, complemented
8#21462539C213yesmaximal, complemented
9#21462535C213yesmaximal, complemented
10D61⋊#435C213yesmaximal, complemented
11#21462467C211yesmaximal, characteristic, complemented
12#21462408C211yesmaximal, characteristic, complemented
13#21462408C211yesmaximal, characteristic, complemented
14#21462391C211yesmaximal, characteristic, complemented
15D4×#11758226C211yesmaximal, characteristic
16#16840842—28no—
17C2×#14519865—28no—
18C2×#14519865C2211yescharacteristic
19C2×#14519865C2211yescharacteristic
20C2×#14519865C2211yescharacteristic
21C2×#14519865C2211yescharacteristic
22C2×#14519865C2213yescomplemented
23C2×#14519865C2213yescomplemented
24C2×#14519865C2213yescomplemented
25C2×#14519865C2213yescomplemented
26C22×#11758213C2213yescomplemented
27C2×D61⋊M16C2213yescomplemented
28C2×D61⋊M16C2213yescomplemented
29C22×D61⋊C8C2213yescomplemented
30#16840796C2216yescomplemented
31#16840795C2216yescomplemented
32#16840794C2213yescomplemented
33#16840794C2213yescomplemented
34#16840793C2213yes—
35#16840793C2211yescharacteristic
36#16840792C2216yescomplemented
37#16840792C2213yescomplemented
38#16840792C2216yescomplemented
39#16840792C2216yescomplemented
40#16840792C2213yescomplemented
41#16840791C2213yescomplemented
42#16840791C2213yescomplemented
43#16840790C2216yescomplemented
44#16840789C2216yescomplemented
45#16840769C2213yescomplemented
46#16840769C2213yescomplemented
47#16840767C2213yescomplemented
48D61⋊(C4⋊C8)C2213yescomplemented
49#16840737C2213yescomplemented
50#16840737C2213yescomplemented
51#16840737C2213yescomplemented
52#16840737C2213yescomplemented
53#16840733C2213yescomplemented
54#16840733C2213yescomplemented
55D61⋊(C22⋊C8)C2213yescomplemented
56D61⋊(C22⋊C8)C2213yescomplemented
57#16840727C2213yescomplemented
58#16840727C2213yescomplemented
59C4×#11758213C2213yescomplemented
60#16840721C2213yescomplemented
61C22×#11758226C2211yescharacteristic
62C22×#11758226C2211yescharacteristic
63#16840434C411yescharacteristic
64#16840423C411yescharacteristic
65#16840423C411yescharacteristic
66#16840415C413yes—
67#16840403C413yes—
68#16840403C413yes—
69D4×D244C413yes—
70#16840313C2213yes—
71#16840275C2213yes—
72#16840275C2213yes—
73C4×#11758226C2211yescharacteristic
74C4×D4×D61C2213yes—
75D4×Q8×C61C411yescharacteristic
76#14519865—24no—
77#14519865—24no—
78#14519865—24no—
79#14519865—212no—
80#14519865—212no—
81#14519865—212no—
82#14519865—212no—
83#14519865D418yescomplemented
84C2×#11758213—212no—
85C2×#11758213C2313yes—
86C2×#11758213C2313yes—
87C2×#11758213C2313yes—
88C2×#11758213C2313yes—
89C2×#11758213C2313yes—
90C2×#11758213C2316yes—
91C2×#11758213C2313yes—
92D61⋊M16—212no—
93D61⋊M16—212no—
94C2×#11758217C2311yescharacteristic
95C2×#11758217C2313yes—
96C2×D61⋊C8—212no—
97C2×D61⋊C8C2313yes—
98C2×D61⋊C8C2313yes—
99C2×D61⋊C8C2313yes—
100C2×D61⋊C8C2316yes—
101C2×D61⋊C8C2313yes—
102C2×D61⋊C8C2313yes—
103C2×D61⋊C8C2313yes—
104C22×#92420C2313yes—
105C22×#92420C2311yescharacteristic
106#14519844C2311yescharacteristic
107#14519844C2313yes—
108#14519844C2316yes—
109C4⋊#92420C2313yes—
110C4⋊#92420C2313yes—
111#14519834C2313yes—
112#14519834C2313yes—
113#14519834C2313yes—
114#14519834C2313yes—
115#14519834C2316yes—
116#14519834C2316yes—
117C22⋊#92420C2311yescharacteristic
118C22⋊#92420C2311yescharacteristic
119C22⋊#92420C2313yes—
120C22⋊#92420C2313yes—
121#14519832C2311yescharacteristic
122#14519832C2313yes—
123#14519832C2313yes—
124#14519832C2313yes—
125C4×#92420C2316yes—
126C2×#11758226—24no—
127C2×#11758226—24no—
128C2×#11758226—24no—
129C2×#11758226—24no—
130C2×#11758226C2×C413yes—
131C2×#11758226C2×C413yes—
132C2×#11758226C2×C411yescharacteristic
133C2×#11758226C2×C411yescharacteristic
134C2×#11758226C2313yes—
135C2×#11758226C2313yes—
136C2×#11758226C2311yescharacteristic
137C22×D244C2×C413yes—
138C22×D244C2×C413yes—
139C2×D4×D61C2×C413yes—
140C22×C4×D61C2313yes—
141C22×C4×D61C2313yes—
142#14519774C2×C413yes—
143#14519766C2×C413yes—
144#14519766C2×C413yes—
145#14519762C2×C416yes—
146#14519762C2×C416yes—
147#14519753C2×C413yes—
148#14519753C2×C413yes—
149#14519752C2×C413yes—
150#14519752C2×C413yes—
151#14519752C2×C416yes—
152#14519752C2×C416yes—
153#14519751C2×C413yes—
154#14519751C2×C413yes—
155#14519747C2×C416yes—
156#14519747C2×C416yes—
157Q8×Dic61C2×C411yescharacteristic
158C4×D244C2×C413yes—
159C4×D244C2×C413yes—
160D4×Dic61C2311yescharacteristic
161#14519739C2×C413yes—
162#14519739C2313yes—
163#14519739C2316yes—
164C4×C22⋊D61C2×C413yes—
165C4×C22⋊D61C2×C413yes—
166#14519737C2313yes—
167#14519737C2313yes—
168#14519735C2313yes—
169C4⋊C4×D61C2×C413yes—
170C22⋊C4×D61C2×C413yes—
171C22⋊C4×D61C2×C413yes—
172C42×D61C2313yes—
173C22×Q8×C61C2×C411yescharacteristic
174C22×Q8×C61C2×C411yescharacteristic
175C4⋊Q8×C61C2×C413yes—
176C22⋊Q8×C61C2×C413yes—
177C22⋊Q8×C61C2×C413yes—
178C4×Q8×C61C2×C411yescharacteristic
179C4×D4×C61C2×C413yes—
180C23×D61C22×C413yes—
181C23×D61C22×C413yes—
182C2×Q8×C61—24no—
183C2×Q8×C61—24no—
184C2×Q8×C61C22×C413yes—
185C2×Q8×C61C22×C413yes—
186C2×Q8×C61C22×C411yescharacteristic
187C2×D4×C61C22×C411yescharacteristic
188C22×C4×C61C22×C413yes—
189C22×C4×C61C22×C413yes—
190C2×C22⋊D61C22×C413yes—
191C2×C22⋊D61C22×C413yes—
192C22×Dic61C2411yescharacteristic
193C22×Dic61C2411yescharacteristic
194#11758226—24no—
195#11758226—24no—
196#11758226—212no—
197#11758226—212no—
198#11758226—26no—
199#11758226—26no—
200#11758226—26no—
201#11758226—26no—
202#11758226C2×D414yes—
203#11758226#4114yes—
204D4×D61—46no—
205C2×D244—212no—
206C2×D244—212no—
207C2×D244C22×C416yes—
208C2×D244C22×C416yes—
209C2×D244C22×C413yes—
210C2×D244C22×C413yes—
211C2×D244C22×C413yes—
212C2×D244C22×C416yes—
213C2×D244C22×C413yes—
214C2×C4×D61—26no—
215C2×C4×D61—26no—
216C2×C4×D61—26no—
217C2×C4×D61—26no—
218C2×C4×D61C22×C413yes—
219C2×C4×D61C22×C413yes—
220C2×C4×D61C22×C413yes—
221C2×C4×D61C22×C413yes—
222C2×C4×D61C22×C413yes—
223C2×C4×D61C22×C413yes—
224C2×C4×D61C2413yes—
225C2×C4×D61C2413yes—
226C2×C4×D61C2413yes—
227#11758217—22no—
228#11758217—26no—
229C2×#92420—22no—
230C2×#92420—26no—
231C2×#92420C2413yes—
232C2×#92420C2411yescharacteristic
233C2×#92420C2411yescharacteristic
234C2×#92420C2411yescharacteristic
235C2×#92420C2413yes—
236C2×#92420C2413yes—
237C2×#92420C2413yes—
238C2×#92420C2411yescharacteristic
239#11758213—26no—
240#11758213—26no—
241#11758213—26no—
242#11758213—26no—
243#11758213—26no—
244#11758213—212no—
245#11758213C2×D4112yescomplemented
246D61⋊C8—26no—
247D61⋊C8—26no—
248D61⋊C8—26no—
249D61⋊C8—26no—
250D61⋊C8—26no—
251D61⋊C8—212no—
252D61⋊C8C2×D4112yescomplemented
253C4⋊C4×C61C22×C413yes—
254C4⋊C4×C61C22×C413yes—
255C4⋊C4×C61C22×C416yes—
256C22⋊C4×C61C22×C413yes—
257C22⋊C4×C61C22×C413yes—
258C42×C61C22×C413yes—
259C22⋊Dic61C22×C411yescharacteristic
260C22⋊Dic61C22×C411yescharacteristic
261#11758198C22×C413yes—
262#11758198C22×C413yes—
263#11758198C22×C413yes—
264#11758198C22×C413yes—
265#11758198C22×C416yes—
266#11758198C22×C416yes—
267#11758198C22×C416yes—
268C4⋊Dic61C22×C411yescharacteristic
269C4⋊Dic61C22×C413yes—
270#11758196C22×C413yes—
271#11758196C22×C413yes—
272C4×Dic61C22×C413yes—
273C4×Dic61C2413yes—
274C4×Dic61C2411yescharacteristic
275C23×C61C23×C411yescharacteristic
276C23×C61C23×C411yescharacteristic
277C22×D61—26no—
278C22×D61—26no—
279C22×D61—26no—
280C22×D61—43no—
281C22×D61—43no—
282C22×D61—43no—
283C22×D61C23×C413yes—
284C22×D61C23×C413yes—
285C22×D61C23×C413yes—
286Q8×C61—26no—
287Q8×C61—26no—
288Q8×C61C4×D414yes—
289D4×C61—22no—
290C2×C4×C61—26no—
291C2×C4×C61—26no—
292C2×C4×C61C23×C411yescharacteristic
293C2×C4×C61C23×C413yes—
294C2×C4×C61C23×C413yes—
295C2×C4×C61C23×C413yes—
296C2×C4×C61C23×C413yes—
297C22⋊D61—26no—
298C22⋊D61—43no—
299C2×Dic61—21no—
300C2×Dic61—21no—
301C2×Dic61—21no—
302C2×Dic61—21no—
303C2×Dic61C23×C411yescharacteristic
304C2×Dic61C23×C413yes—
305C2×Dic61C23×C411yescharacteristic
306C2×Dic61C23×C411yescharacteristic
307C2×Dic61C2511yescharacteristic
308D244—212no—
309D244—212no—
310D244—26no—
311D244—26no—
312D244—46no—
313D244—43no—
314D244C4×D4112yes—
315C4×D61—26no—
316C4×D61—26no—
317C4×D61—26no—
318C4×D61—26no—
319C4×D61—23no—
320C4×D61—23no—
321C4×D61—23no—
322C4×D61—23no—
323C4×D61—43no—
324C4×D61—43no—
325C4×D61C22×D416yes—
326C4×D61C2×#4116yes—
327#92420—21no—
328#92420—21no—
329#92420—23no—
330#92420—23no—
331#92420—21no—
332#92420—23no—
333#92420C22×D412yes—
334#92420C22×D416yes—
335#60146—611nomaximal, Sylow
336C22×C61—21no—
337C22×C61—21no—
338C22×C61—21no—
339C22×C61—21no—
340C22×C61—21no—
341C22×C61#56812yescomplemented
342C22×C61C24×C411yescharacteristic
343C2×D61—23no—
344C2×D61—23no—
345C2×D61—23no—
346C2×D61—23no—
347C2×D61—23no—
348C2×D61—23no—
349C2×D61—23no—
350C2×D61—23no—
351C2×D61—412no—
352C2×D61—86no—
353C2×D61C2×C4×D416yes—
354C4×C61—23no—
355C4×C61—23no—
356C4×C61—21no—
357C4×C61—23no—
358C4×C61C2×C4×D416yes—
359Dic61—21no—
360Dic61—21no—
361Dic61—23no—
362Dic61—21no—
363Dic61C23×D411yescharacteristic
364Dic61C22×#4111yescharacteristic
365C2×#568—611no—
366C22×#131—611no—
367D4×#41—611no—
368#2935—613no—
369D4×M16—613no—
370#2933—613no—
371#2933—613no—
372#2932—613no—
373#2930—613no—
374#2929—613no—
375C2×#435—613no—
376#2906—611no—
377#2880—611no—
378#2880—611no—
379#2875—611no—
380C2×C61—22no—
381C2×C61—41no—
382C2×C61C22×C4×D411yescharacteristic
383C2×C61C2×#56811yescharacteristic
384C2×C61#357311yescharacteristic
385D61—26no—
386D61—43no—
387D61—43no—
388C22×#41—611no—
389C22×#41—611no—
390#568—1228no—
391C2×#131—611no—
392C2×#131—611no—
393C2×#131—611no—
394C2×#131—611no—
395C2×#131—613no—
396C2×#131—613no—
397C2×#131—613no—
398C2×#131—613no—
399C2×#131—1228no—
400C22×M16—613no—
401C22×M16—613no—
402C22×M16—613no—
403C23×C8—613no—
404#550—611no—
405D4×Q8#692311yescharacteristic
406#548—611no—
407#548—611no—
408#547—613no—
409#546—613no—
410#546—613no—
411D42—613no—
412#532—613no—
413#525—613no—
414#525—613no—
415C4×#41—611no—
416C2×C4×D4—613no—
417#436—616no—
418#436—616no—
419#435—613no—
420#435—613no—
421#435—613no—
422#435—613no—
423#435—616no—
424#435—616no—
425#435—616no—
426#435—611no—
427#435—613no—
428#435—613no—
429#435—613no—
430C8×D4—616no—
431C8×D4—616no—
432#424—613no—
433#424—613no—
434#423—613no—
435C2×C4⋊C8—613no—
436#408—613no—
437#408—613no—
438#408—613no—
439#408—613no—
440#407—613no—
441#407—613no—
442C2×C22⋊C8—613no—
443C2×C22⋊C8—613no—
444#405—613no—
445#405—613no—
446C4×M16—613no—
447C2×#97—613no—
448C61#6014611yescharacteristic, complemented, Sylow
449C2×#41—611no—
450C2×#41—613no—
451C2×#41—613no—
452C2×#41—613no—
453C2×#41—613no—
454C2×#41—611no—
455C2×#41—611no—
456C2×#41—1224no—
457C2×#41—1224no—
458C2×#41—1224no—
459C2×#41—1224no—
460C22×Q8C2×#692311yescharacteristic
461C22×Q8C2×#692311yescharacteristic
462C22×D4—613no—
463C22×D4—613no—
464C22×D4—613no—
465C23×C4—613no—
466C23×C4—613no—
467#131—618no—
468#131—12212no—
469#131—12212no—
470#131—12212no—
471#131—12212no—
472#131—1224no—
473#131—1224no—
474#131—1224no—
475C2×M16—613no—
476C2×M16—611no—
477C2×M16—613no—
478C2×M16—613no—
479C2×M16—613no—
480C2×M16—613no—
481C2×M16—613no—
482C2×M16—616no—
483C2×M16—613no—
484C2×M16—12212no—
485C2×M16—12212no—
486C2×M16—12212no—
487C22×C8—613no—
488C22×C8—611no—
489C22×C8—613no—
490C22×C8—613no—
491C22×C8—613no—
492C22×C8—613no—
493C22×C8—613no—
494C22×C8—616no—
495C22×C8—613no—
496C22×C8—12212no—
497C4⋊Q8C2×#692313yes—
498#127—613no—
499#124—613no—
500#124—613no—
501#123—616no—
502#123—616no—
503C22⋊Q8—613no—
504C22⋊Q8—613no—
505C22⋊Q8C2×#692313yes—
506C22⋊Q8C2×#692313yes—
507#121—613no—
508#121—613no—
509#121—613no—
510#121—613no—
511#121—616no—
512#121—616no—
513#120—616no—
514#120—616no—
515C4×Q8—611no—
516C4×Q8C2×#692311yescharacteristic
517C4×D4—611no—
518C4×D4—613no—
519C4×D4—613no—
520C4×D4—613no—
521C4×D4—613no—
522C4×D4—616no—
523C4×D4—613no—
524C4×D4—613no—
525C4×D4—613no—
526C4×D4—613no—
527C4×D4C2×#692313yes—
528#117—613no—
529C2×C4⋊C4—613no—
530C2×C22⋊C4—613no—
531C2×C22⋊C4—613no—
532C2×C42—613no—
533C4⋊C8—613no—
534C4⋊C8—613no—
535C4⋊C8—611no—
536C4⋊C8—613no—
537C4⋊C8—616no—
538C22⋊C8—611no—
539C22⋊C8—611no—
540C22⋊C8—613no—
541C22⋊C8—613no—
542C22⋊C8—613no—
543C22⋊C8—613no—
544C22⋊C8—613no—
545C22⋊C8—613no—
546C22⋊C8—616no—
547C22⋊C8—616no—
548#97—611no—
549#97—613no—
550#97—613no—
551#97—613no—
552C4×C8—616no—
553C24—613no—
554C24—613no—
555#41—614no—
556#41—614no—
557#41—1226no—
558#41—1226no—
559#41—1226no—
560#41—1226no—
561#41—12212no—
562#41—12212no—
563#41—1224no—
564#41—1224no—
565C2×Q8—24no—
566C2×Q8—24no—
567C2×Q8C22×#692313yes—
568C2×Q8C22×#692313yes—
569C2×Q8C22×#692311yescharacteristic
570C2×D4—613no—
571C2×D4—613no—
572C2×D4—613no—
573C2×D4—616no—
574C2×D4—616no—
575C2×D4—613no—
576C2×D4—613no—
577C2×D4—613no—
578C2×D4—616no—
579C2×D4—12212no—
580C2×D4—12212no—
581C2×D4—2446no—
582C2×D4C22×#692311yescharacteristic
583C22×C4—613no—
584C22×C4—611no—
585C22×C4—611no—
586C22×C4—613no—
587C22×C4—613no—
588C22×C4—613no—
589C22×C4—613no—
590C22×C4—613no—
591C22×C4—613no—
592C22×C4—613no—
593C22×C4—613no—
594C22×C4—1226no—
595C22×C4—1226no—
596C22×C4—1226no—
597C22×C4—1226no—
598C22×C4C22×#692313yes—
599C22×C4C22×#692313yes—
600M16—6112no—
601M16—1222no—
602M16—1226no—
603M16—1226no—
604M16—1226no—
605M16—12212no—
606M16—1226no—
607M16—1226no—
608M16—1226no—
609C2×C8—613no—
610C2×C8—611no—
611C2×C8—6112no—
612C2×C8—613no—
613C2×C8—611no—
614C2×C8—611no—
615C2×C8—611no—
616C2×C8—613no—
617C2×C8—613no—
618C2×C8—1222no—
619C2×C8—1226no—
620C2×C8—1226no—
621C2×C8—1226no—
622C2×C8—12212no—
623C2×C8—1226no—
624C2×C8—1226no—
625C2×C8—1226no—
626C4⋊C4—611no—
627C4⋊C4—613no—
628C4⋊C4—613no—
629C4⋊C4—613no—
630C4⋊C4C22×#692313yes—
631C4⋊C4C22×#692313yes—
632C4⋊C4C22×#692316yes—
633C22⋊C4—611no—
634C22⋊C4—611no—
635C22⋊C4—613no—
636C22⋊C4—613no—
637C22⋊C4—613no—
638C22⋊C4—613no—
639C22⋊C4—616no—
640C22⋊C4—616no—
641C22⋊C4—616no—
642C22⋊C4C22×#692313yes—
643C22⋊C4C22×#692313yes—
644C42—613no—
645C42—611no—
646C42—613no—
647C42C22×#692313yes—
648C23—613no—
649C23—613no—
650C23—613no—
651C23—1226no—
652C23—1226no—
653C23—1226no—
654C23—2443no—
655C23—2443no—
656C23—2443no—
657C23C23×#692311yescharacteristic
658C23C23×#692311yescharacteristic
659Q8—26no—
660Q8—26no—
661Q8D4×#692314yes—
662D4—22no—
663D4—6112no—
664D4—12212no—
665D4—12212no—
666D4—1226no—
667D4—1226no—
668D4—1226no—
669D4—2446no—
670D4—2443no—
671D4—2443no—
672C2×C4—26no—
673C2×C4—26no—
674C2×C4—611no—
675C2×C4—616no—
676C2×C4—616no—
677C2×C4—611no—
678C2×C4—613no—
679C2×C4—611no—
680C2×C4—611no—
681C2×C4—1223no—
682C2×C4—1223no—
683C2×C4—1223no—
684C2×C4—1223no—
685C2×C4—1226no—
686C2×C4—1226no—
687C2×C4—1221no—
688C2×C4—1221no—
689C2×C4—1221no—
690C2×C4—1221no—
691C2×C4—1226no—
692C2×C4—1226no—
693C2×C4—2443no—
694C2×C4—2443no—
695C2×C4C23×#692311yescharacteristic
696C2×C4C23×#692313yes—
697C2×C4C23×#692313yes—
698C2×C4C23×#692313yes—
699C2×C4C23×#692313yes—
700C8—612no—
701C8—616no—
702C8—1221no—
703C8—1221no—
704C8—1223no—
705C8—1221no—
706C8—1223no—
707C8—1223no—
708C22—21no—
709C22—21no—
710C22—21no—
711C22—21no—
712C22—21no—
713C22—616no—
714C22—1223no—
715C22—1223no—
716C22—1223no—
717C22—1223no—
718C22—1223no—
719C22—1223no—
720C22—1223no—
721C22—1223no—
722C22—4886no—
723C22—24412no—
724C22#1684084212yescomplemented
725C22C24×#692311yescharacteristic
726C4—23no—
727C4—23no—
728C4—21no—
729C4—23no—
730C4—611no—
731C4—611no—
732C4—1221no—
733C4—1221no—
734C4—1223no—
735C4—1221no—
736C4C2×D4×#692316yes—
737C2—22no—
738C2—41no—
739C2—1226no—
740C2—2443no—
741C2—2443no—
742C2C22×D4×#692311yescharacteristic
743C2C2×#1684084211yescharacteristic
744C2#2146281511yescharacteristic
subgroupG/H
center, FrattiniC22C24×#6923
commutator, socleC22×C61C24×C4
FittingD4×Q8×C61C4
prime radicalD4×#11758226C2
cosocleC2×Dic61C25
hypercenterD4×Q8#6923
hypocenterC61#60146
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ D4×Q8

Complements

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

NH ≅ G/Ntype
1. C2×#16840842C2semidirect
2. C22×#14519865C2semidirect
3. #21462565C2semidirect
4. #21462558C2semidirect
5. #21462554C2semidirect
6. #21462552C2semidirect
7. #21462546C2semidirect
8. #21462539C2semidirect
9. #21462535C2semidirect
10. D61⋊#435C2semidirect
11. #21462467C2semidirect
12. #21462408C2semidirect
13. #21462408C2semidirect
14. #21462391C2semidirect
22. C2×#14519865C22semidirect
23. C2×#14519865C22semidirect
24. C2×#14519865C22semidirect
25. C2×#14519865C22semidirect
26. C22×#11758213C22semidirect
27. C2×D61⋊M16C22semidirect
28. C2×D61⋊M16C22semidirect
29. C22×D61⋊C8C22semidirect
30. #16840796C22semidirect
31. #16840795C22semidirect
32. #16840794C22semidirect
33. #16840794C22semidirect
36. #16840792C22semidirect
37. #16840792C22semidirect
38. #16840792C22semidirect
39. #16840792C22semidirect
40. #16840792C22semidirect
41. #16840791C22semidirect
42. #16840791C22semidirect
43. #16840790C22semidirect
44. #16840789C22semidirect
45. #16840769C22semidirect
46. #16840769C22semidirect
47. #16840767C22semidirect
48. D61⋊(C4⋊C8)C22semidirect
49. #16840737C22semidirect
50. #16840737C22semidirect
51. #16840737C22semidirect
52. #16840737C22semidirect
53. #16840733C22semidirect
54. #16840733C22semidirect
55. D61⋊(C22⋊C8)C22semidirect
56. D61⋊(C22⋊C8)C22semidirect
57. #16840727C22semidirect
58. #16840727C22semidirect
59. C4×#11758213C22semidirect
60. #16840721C22semidirect
83. #14519865D4semidirect
245. #11758213C2×D4semidirect
252. D61⋊C8C2×D4semidirect
341. C22×C61#568semidirect
448. C61#60146semidirect
724. C22#16840842semidirect

Maximal subgroups

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

subgroupindex
C2×#168408422
C22×#145198652
#214625652
#214625582
#214625542
#214625522
#214625462
#214625392
#214625352
D61⋊#4352
#214624672
#214624082
#214623912
D4×#117582262
#6014661