Finite Group Databasebeta

← #30620434

Subgroups — #30620434

Order 15616.

1086 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×D61⋊C8C211yesmaximal, characteristic, complemented
2#21462338C211yesmaximal, characteristic, complemented
3#21462001C212yesmaximal, complemented
4#21462000C211yesmaximal, characteristic, complemented
5#21461999C212yesmaximal, complemented
6#21461997C211yesmaximal, characteristic, complemented
7#21461689C212yesmaximal
8#21461687C211yesmaximal, characteristic
9C4×#14519839C211yesmaximal, characteristic
10C4×#14519839C212yesmaximal
11#554×D61C211yesmaximal, characteristic
12#16840811—22no—
13#16840811—21no—
14Q8×#92420—21no—
15D61⋊(C4⋊C8)C2211yescharacteristic
16D61⋊(C4⋊C8)C2212yes—
17C2×#14519839C2212yes—
18C2×#14519839C2211yescharacteristic
19C2×#14519839C2211yescharacteristic
20C4×D61⋊C8C2211yescharacteristic
21C4×D61⋊C8C2212yes—
22(C2×#6923)⋊Q8—21no—
23#16840711—22no—
24#16840708C2211yescharacteristic
25#16840706C2212yes—
26C4⋊C4×#6923—21no—
27C4×C4⋊#6923C2211yescharacteristic
28C4×C4⋊#6923C2212yes—
29#16840635C2212yes—
30#16840635C2211yescharacteristic
31#16840635C2212yes—
32#16840635C2211yescharacteristic
33#16840635C2212yes—
34#16840635C2212yes—
35#16840635C2212yes—
36#16840473C411yescharacteristic, complemented
37#16840472C411yescharacteristic, complemented
38#16840471C412yescomplemented
39#16840470—21no—
40#16840469C411yescharacteristic, complemented
41#16840468C412yescomplemented
42#16840467—21no—
43#16840466—22no—
44C4⋊Q8×D61C2211yescharacteristic
45#125×D61C2212yes—
46C22⋊Q8×D61—22no—
47C22⋊Q8×D61—21no—
48C4×Q8×D61C2211yescharacteristic
49C4×D4×D61C2211yescharacteristic
50C4×D4×D61C2212yes—
51C2×C4⋊C4×D61—21no—
52C61×#554C411yescharacteristic, complemented
53C2×D61⋊C8C2311yescharacteristic
54C2×D61⋊C8C2312yes—
55C2×D61⋊C8C2311yescharacteristic
56C2×C4⋊#6923—21no—
57C2×C4⋊#6923—21no—
58C2×C4⋊#6923C2311yescharacteristic
59C2×C4⋊#6923C2312yes—
60C2×C4⋊#6923C2311yescharacteristic
61C2×C4×#6923—21no—
62C2×C4×#6923—22no—
63#14519844—21no—
64#14519844—22no—
65C4⋊#92420—22no—
66C4⋊#92420—21no—
67#14519839—24no—
68#14519839—22no—
69#14519839Q814yescomplemented
70C4×#92420—22no—
71C4×#92420—21no—
72C4×#92420—21no—
73C4×#92420—22no—
74(C2×#6923)⋊C4—22no—
75(C2×#6923)⋊C4—22no—
76(C2×#6923)⋊C4—21no—
77(C2×#6923)⋊C4—22no—
78C2×Q8×D61—21no—
79C2×Q8×D61D411yescharacteristic
80C2×D4×D61C2311yescharacteristic
81C22×C4×D61—21no—
82C22×C4×D61—22no—
83#14519777C2×C411yescharacteristic
84#14519776—21no—
85#14519776C2×C412yes—
86#14519775—21no—
87#14519769C2×C412yes—
88#14519768C2×C412yes—
89#14519768C2×C412yes—
90#14519767—22no—
91#14519767—22no—
92#14519757—21no—
93#14519757—22no—
94#14519756—21no—
95#14519756—22no—
96#14519755—22no—
97#14519755—22no—
98#14519755—22no—
99#14519754—22no—
100#14519754—22no—
101#14519754—22no—
102#14519753—21no—
103#14519753—22no—
104Q8×Dic61D411yescharacteristic
105C4×Dic122C2×C412yes—
106C4×Dic122C2×C411yescharacteristic
107#14519742D412yes—
108#14519742D411yescharacteristic
109C4×D244C2×C412yes—
110C4×D244C2×C411yescharacteristic
111D4×Dic61C2×C412yes—
112D4×Dic61C2×C411yescharacteristic
113#14519739C2×C411yescharacteristic
114#14519739C2×C412yes—
115C4×C22⋊D61—22no—
116C4×C22⋊D61—21no—
117#14519737—21no—
118#14519737—22no—
119C2×C4⋊Dic61—21no—
120C2×#11758196—22no—
121C4⋊C4×D61—22no—
122C4⋊C4×D61—21no—
123C4⋊C4×D61—22no—
124C4⋊C4×D61—21no—
125C4⋊C4×D61—21no—
126C4⋊C4×D61—22no—
127C4⋊C4×D61D412yes—
128C4⋊C4×D61D411yescharacteristic
129C4⋊C4×D61C2311yescharacteristic
130C4⋊C4×D61C2312yes—
131C22⋊C4×D61—21no—
132C22⋊C4×D61—22no—
133C42×D61C2312yes—
134C42×D61C2311yescharacteristic
135C4⋊Q8×C61C2×C411yescharacteristic
136#125×C61C2×C412yes—
137C22⋊Q8×C61—21no—
138C22⋊Q8×C61—22no—
139C4×Q8×C61C2×C411yescharacteristic
140C4×D4×C61C2×C411yescharacteristic
141C4×D4×C61C2×C412yes—
142C2×C4⋊C4×C61—21no—
143C23×D61—21no—
144C22×#6923—21no—
145C22×#6923—21no—
146C22×#6923—22no—
147C2×Q8×C61—21no—
148C2×Q8×C61C22⋊C411yescharacteristic
149C2×D4×C61C22×C411yescharacteristic
150C22×C4×C61—21no—
151C22×C4×C61—22no—
152C2×C22⋊D61—21no—
153C22×Dic61—21no—
154C22×Dic61—22no—
155Q8×D61—22no—
156Q8×D61—22no—
157Q8×D61—81no—
158Q8×D61—81no—
159D4×D61—21no—
160D4×D61—21no—
161D4×D61C2×Q812yes—
162D4×D61#4112yes—
163C2×D244C22×C411yescharacteristic
164C2×C4×D61—22no—
165C2×C4×D61—21no—
166C2×C4×D61—21no—
167C2×C4×D61—21no—
168C2×C4×D61—22no—
169C2×C4×D61—22no—
170C2×C4×D61—42no—
171C2×C4×D61—42no—
172C2×C4×D61—82no—
173C2×C4×D61—82no—
174C2×C4×D61C2×D412yes—
175C2×C4×D61C2×D411yescharacteristic
176C2×C4×D61C2×D412yes—
177C2×C4×D61C2×D411yescharacteristic
178C2×C4×D61C2411yescharacteristic
179C2×Dic122—21no—
180C2×Dic122—22no—
181C2×Dic122C22⋊C412yes—
182C2×Dic122C22⋊C411yescharacteristic
183C2×#92420—21no—
184C2×#92420—22no—
185C2×#92420—21no—
186C4⋊#6923—21no—
187C4⋊#6923—22no—
188C4⋊#6923—21no—
189C4⋊#6923—21no—
190C4⋊#6923—22no—
191C4⋊#6923—42no—
192C4⋊#6923—81no—
193C4⋊#6923C2×Q812yes—
194C4×#6923—42no—
195C4×#6923—82no—
196D61⋊C8—21no—
197D61⋊C8—22no—
198D61⋊C8—21no—
199D61⋊C8—21no—
200D61⋊C8—22no—
201D61⋊C8C2×Q812yes—
202C4⋊C4×C61—22no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—22no—
205C4⋊C4×C61C22⋊C411yescharacteristic
206C4⋊C4×C61C22⋊C412yes—
207C4⋊C4×C61C22×C411yescharacteristic
208C4⋊C4×C61C22×C412yes—
209C22⋊C4×C61—21no—
210C22⋊C4×C61—22no—
211C42×C61C22×C412yes—
212C42×C61C22×C411yescharacteristic
213C22⋊Dic61—21no—
214C22⋊Dic61—22no—
215#11758198—21no—
216#11758198—22no—
217#11758198—22no—
218#11758198—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—22no—
221C4⋊Dic61—22no—
222C4⋊Dic61C22⋊C411yescharacteristic
223C4⋊Dic61C22⋊C412yes—
224C4⋊Dic61C22×C411yescharacteristic
225C4⋊Dic61C22×C412yes—
226#11758196—22no—
227#11758196—22no—
228#11758196—22no—
229#11758196—22no—
230#11758196—22no—
231#11758196—21no—
232#11758196—22no—
233#11758196C22⋊C412yes—
234#11758196C22⋊C412yes—
235#11758196C22⋊C412yes—
236C4×Dic61C22×C412yes—
237C4×Dic61C22×C411yescharacteristic
238C4×Dic61C2×D412yes—
239C4×Dic61C2×D411yescharacteristic
240C4×Dic61C2×D411yescharacteristic
241C4×Dic61C2×D412yes—
242C23×C61—21no—
243C22×D61—21no—
244C22×D61—22no—
245C22×D61—22no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61C22×D411yescharacteristic
251C2×#6923—22no—
252C2×#6923—41no—
253C2×#6923—41no—
254C2×#6923—41no—
255C2×#6923—42no—
256C2×#6923—41no—
257C2×#6923—42no—
258C2×#6923—42no—
259C2×#6923—41no—
260Q8×C61—22no—
261Q8×C61—81no—
262D4×C61—21no—
263D4×C61C4×Q812yes—
264C2×C4×C61—21no—
265C2×C4×C61—22no—
266C2×C4×C61—42no—
267C2×C4×C61—82no—
268C2×C4×C61C2×C22⋊C412yes—
269C2×C4×C61C2×C22⋊C412yes—
270C2×C4×C61C2×C22⋊C411yescharacteristic
271C2×C4×C61C2×C22⋊C411yescharacteristic
272C2×C4×C61C23×C411yescharacteristic
273C22⋊D61—22no—
274C22⋊D61—22no—
275C2×Dic61—21no—
276C2×Dic61—22no—
277C2×Dic61—42no—
278C2×Dic61—82no—
279C2×Dic61C2×C22⋊C412yes—
280C2×Dic61C2×C22⋊C412yes—
281C2×Dic61C2×C22⋊C411yescharacteristic
282C2×Dic61C2×C22⋊C411yescharacteristic
283C2×Dic61C22×D411yescharacteristic
284D244—21no—
285D244C4×Q812yes—
286C4×D61—22no—
287C4×D61—22no—
288C4×D61—22no—
289C4×D61—21no—
290C4×D61—22no—
291C4×D61—21no—
292C4×D61—41no—
293C4×D61—41no—
294C4×D61—42no—
295C4×D61—42no—
296C4×D61—42no—
297C4×D61—42no—
298C4×D61—82no—
299C4×D61—82no—
300C4×D61#13512yes—
301C4×D61#13512yes—
302C4×D61C22×Q811yescharacteristic
303C4×D61C2×#4111yescharacteristic
304C4×D612−1+411yescharacteristic
305C4×D612−1+411yescharacteristic
306Dic122—22no—
307Dic122—24no—
308Dic122—82no—
309Dic122—81no—
310#92420—22no—
311#92420—42no—
312#92420—41no—
313#22519—611nomaximal, Sylow
314C22×C61—22no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61C22×C22⋊C411yescharacteristic
318C2×D61—22no—
319C2×D61—41no—
320C2×D61—41no—
321C2×D61—42no—
322C2×D61—42no—
323C2×D61—42no—
324C2×D61—42no—
325C2×D61#54811yescharacteristic
326C2×D61D4×Q811yescharacteristic
327C2×D61C2×#13511yescharacteristic
328C2×D61C2×#13511yescharacteristic
329C2×D61#57611yescharacteristic
330C2×D61#57711yescharacteristic
331#6923—42no—
332#6923—81no—
333#6923—82no—
334C4×C61—22no—
335C4×C61—21no—
336C4×C61—22no—
337C4×C61—41no—
338C4×C61—42no—
339C4×C61#41612yes—
340C4×C61C2×C4×Q811yescharacteristic
341C4×C61#51911yescharacteristic
342Dic61—22no—
343Dic61—21no—
344Dic61—22no—
345Dic61—41no—
346Dic61—42no—
347Dic61#41612yes—
348Dic61#54811yescharacteristic
349Dic61D4×Q811yescharacteristic
350C2×#554—611no—
351C2×C8×Q8—611no—
352#2355—611no—
353#1991—612no—
354#1990—611no—
355#1989—612no—
356#1987—611no—
357#1804—612no—
358#1802—611no—
359C4×#102—611no—
360C4×#102—612no—
361C2×C61—42no—
362C2×C61Q8×C22⋊C411yescharacteristic
363C2×C61C2×#41611yescharacteristic
364C2×C61#289711yescharacteristic
365D61—42no—
366D61#336011yescharacteristic
367D61#336111yescharacteristic
368D61#338011yescharacteristic
369D61#338111yescharacteristic
370#554—611no—
371#554—612no—
372#554—611no—
373#554—611no—
374#554—612no—
375#554—1221no—
376#554—1222no—
377#554—1221no—
378#554#692311yescharacteristic, complemented
379C2×C4⋊Q8—611no—
380C2×#125—612no—
381C2×C22⋊Q8—1222no—
382C2×C22⋊Q8—1221no—
383C2×C4×Q8—611no—
384C2×C4×D4—611no—
385C2×C4×D4—612no—
386C22×C4⋊C4—1221no—
387C8×Q8—1221no—
388C8×Q8—1222no—
389C8×Q8—1221no—
390C2×C4⋊C8—611no—
391C2×C4⋊C8—612no—
392C2×#102—611no—
393C2×#102—612no—
394C2×#102—611no—
395C2×C4×C8—611no—
396C2×C4×C8—612no—
397#391—1221no—
398#387—1222no—
399#384—611no—
400#382—612no—
401C4×C4⋊C4—611no—
402C4×C4⋊C4—612no—
403C4×C4⋊C4—1221no—
404#340—612no—
405#340—612no—
406#340—612no—
407#340—612no—
408#340—611no—
409#340—612no—
410#340—611no—
411C61#2251911yescharacteristic, complemented, Sylow
412C22×Q8—611no—
413C22×Q8—1221no—
414C22×D4—611no—
415C23×C4—1222no—
416C23×C4—1221no—
417C22×C8—611no—
418C22×C8—612no—
419C22×C8—611no—
420C4⋊Q8—612no—
421C4⋊Q8—611no—
422C4⋊Q8—1221no—
423C4⋊Q8—1221no—
424C4⋊Q8C2×#692311yescharacteristic
425#125—612no—
426#125—612no—
427#125—612no—
428#125—1222no—
429#125—1222no—
430#125C2×#692312yes—
431C22⋊Q8—21no—
432C22⋊Q8—22no—
433C22⋊Q8—1222no—
434C22⋊Q8—1222no—
435C22⋊Q8—1222no—
436C22⋊Q8—1222no—
437C22⋊Q8—1222no—
438C22⋊Q8—1222no—
439C22⋊Q8—1221no—
440C22⋊Q8—1222no—
441C22⋊Q8—1222no—
442C22⋊Q8—1221no—
443C22⋊Q8—1221no—
444C22⋊Q8—1222no—
445C4×Q8—611no—
446C4×Q8—612no—
447C4×Q8—611no—
448C4×Q8—611no—
449C4×Q8—612no—
450C4×Q8C2×#692311yescharacteristic
451C4×D4—612no—
452C4×D4—611no—
453C4×D4—612no—
454C4×D4—611no—
455C4×D4—612no—
456C4×D4—611no—
457C4×D4—1222no—
458C4×D4—1221no—
459C4×D4—1222no—
460C4×D4—1221no—
461C4×D4C2×#692312yes—
462C4×D4C2×#692311yescharacteristic
463C2×C4⋊C4—21no—
464C2×C4⋊C4—611no—
465C2×C4⋊C4—612no—
466C2×C4⋊C4—611no—
467C2×C4⋊C4—611no—
468C2×C4⋊C4—612no—
469C2×C4⋊C4—611no—
470C2×C4⋊C4—612no—
471C2×C4⋊C4—1222no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4—1222no—
474C2×C4⋊C4—1221no—
475C2×C4⋊C4—1222no—
476C2×C4⋊C4—1222no—
477C2×C4⋊C4—1221no—
478C2×C4⋊C4—1221no—
479C2×C4⋊C4—1221no—
480C2×C4⋊C4—1221no—
481C2×C22⋊C4—1222no—
482C2×C22⋊C4—1221no—
483C2×C42—612no—
484C2×C42—611no—
485C2×C42—1222no—
486C2×C42—1221no—
487C4⋊C8—1222no—
488C4⋊C8—1221no—
489C4⋊C8—1222no—
490C4⋊C8—1221no—
491#102—614no—
492#102—1224no—
493#102—1222no—
494C4×C8—1222no—
495C4×C8—1222no—
496C4×C8—1221no—
497C4×C8—1221no—
498#95—1221no—
499#95—1222no—
500#95—1222no—
501#95—1222no—
502C24—1221no—
503C2×Q8—21no—
504C2×Q8—612no—
505C2×Q8—611no—
506C2×Q8—1222no—
507C2×Q8—1222no—
508C2×Q8—1222no—
509C2×Q8—1221no—
510C2×Q8—4881no—
511C2×Q8—4881no—
512C2×Q8C22⋊#692311yescharacteristic
513C2×D4—612no—
514C2×D4—612no—
515C2×D4—611no—
516C2×D4—1221no—
517C2×D4—1221no—
518C2×D4—1221no—
519C2×D4C22×#692311yescharacteristic
520C22×C4—21no—
521C22×C4—22no—
522C22×C4—611no—
523C22×C4—611no—
524C22×C4—612no—
525C22×C4—612no—
526C22×C4—611no—
527C22×C4—1222no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—1222no—
531C22×C4—1222no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1222no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1222no—
538C22×C4—4882no—
539C22×C4—4882no—
540C22×C4—2442no—
541C22×C4—2442no—
542C2×C8—612no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8—1222no—
546C2×C8—1221no—
547C2×C8—1222no—
548C2×C8—1221no—
549C2×C8—1222no—
550C2×C8—1221no—
551C4⋊C4—22no—
552C4⋊C4—21no—
553C4⋊C4—22no—
554C4⋊C4—612no—
555C4⋊C4—611no—
556C4⋊C4—612no—
557C4⋊C4—612no—
558C4⋊C4—612no—
559C4⋊C4—612no—
560C4⋊C4—611no—
561C4⋊C4—612no—
562C4⋊C4—1221no—
563C4⋊C4—1222no—
564C4⋊C4—1222no—
565C4⋊C4—1222no—
566C4⋊C4—1222no—
567C4⋊C4—1222no—
568C4⋊C4—1222no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1222no—
572C4⋊C4—1221no—
573C4⋊C4—1222no—
574C4⋊C4—1222no—
575C4⋊C4—1221no—
576C4⋊C4—1222no—
577C4⋊C4—4881no—
578C4⋊C4—2442no—
579C4⋊C4C22⋊#692311yescharacteristic
580C4⋊C4C22⋊#692312yes—
581C4⋊C4C22×#692311yescharacteristic
582C4⋊C4C22×#692312yes—
583C22⋊C4—21no—
584C22⋊C4—22no—
585C22⋊C4—1221no—
586C22⋊C4—1222no—
587C22⋊C4—1221no—
588C22⋊C4—1222no—
589C22⋊C4—1221no—
590C22⋊C4—1222no—
591C42—612no—
592C42—612no—
593C42—611no—
594C42—611no—
595C42—612no—
596C42—611no—
597C42—4882no—
598C42—2442no—
599C42C22×#692312yes—
600C42C22×#692311yescharacteristic
601C23—21no—
602C23—611no—
603C23—1222no—
604C23—1222no—
605C23—1221no—
606C23—2441no—
607C23—2441no—
608C23—2441no—
609C23—2441no—
610Q8—22no—
611Q8—81no—
612Q8—1224no—
613Q8—1222no—
614Q8—4881no—
615Q8—4882no—
616D4—21no—
617D4—612no—
618D4—1222no—
619D4—1222no—
620D4—1221no—
621D4Q8×#692312yes—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—42no—
625C2×C4—82no—
626C2×C4—611no—
627C2×C4—611no—
628C2×C4—612no—
629C2×C4—612no—
630C2×C4—611no—
631C2×C4—611no—
632C2×C4—611no—
633C2×C4—611no—
634C2×C4—611no—
635C2×C4—612no—
636C2×C4—612no—
637C2×C4—1222no—
638C2×C4—1221no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—1222no—
642C2×C4—1221no—
643C2×C4—1222no—
644C2×C4—1221no—
645C2×C4—1222no—
646C2×C4—4882no—
647C2×C4—4882no—
648C2×C4—4882no—
649C2×C4—2442no—
650C2×C4—2442no—
651C2×C4—2442no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2442no—
655C2×C4—2442no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2442no—
659C2×C4—2442no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2442no—
664C2×C4C2×C22⋊#692312yes—
665C2×C4C2×C22⋊#692311yescharacteristic
666C2×C4C2×C22⋊#692312yes—
667C2×C4C2×C22⋊#692311yescharacteristic
668C2×C4C23×#692311yescharacteristic
669C8—1222no—
670C8—2442no—
671C8—2441no—
672C22—22no—
673C22—41no—
674C22—41no—
675C22—611no—
676C22—611no—
677C22—611no—
678C22—611no—
679C22—611no—
680C22—611no—
681C22—1222no—
682C22—2442no—
683C22—2442no—
684C22—2442no—
685C22—2442no—
686C22—2441no—
687C22—2441no—
688C22C22×C22⋊#692311yescharacteristic
689C4—22no—
690C4—22no—
691C4—21no—
692C4—41no—
693C4—42no—
694C4—611no—
695C4—611no—
696C4—612no—
697C4—1222no—
698C4—1222no—
699C4—1221no—
700C4—4882no—
701C4—4881no—
702C4—2442no—
703C4—2441no—
704C4—2442no—
705C4#1684075212yes—
706C4C2×Q8×#692311yescharacteristic
707C4#1684083011yescharacteristic
708C2—42no—
709C2—611no—
710C2—611no—
711C2—611no—
712C2—611no—
713C2—2442no—
714C2Q8×C22⋊#692311yescharacteristic
715C2C2×#1684075211yescharacteristic
716C2#2146244011yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#554C4
socleC22×C61C22×C22⋊C4
prime radicalC2×D4×D61C23
cosocleC2×C4×D61C24
hypercenter#554#6923
hypocenterC61#22519
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #554

Complements

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

NH ≅ G/Ntype
1. Q8×D61⋊C8C2semidirect
2. #21462338C2semidirect
3. #21462001C2semidirect
4. #21462000C2semidirect
5. #21461999C2semidirect
6. #21461997C2semidirect
36. #16840473C4semidirect
37. #16840472C4semidirect
38. #16840471C4semidirect
40. #16840469C4semidirect
41. #16840468C4semidirect
52. C61×#554C4semidirect
69. #14519839Q8semidirect
378. #554#6923semidirect
411. C61#22519semidirect

Maximal subgroups

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

subgroupindex
Q8×D61⋊C82
#214623382
#214620012
#214620002
#214619992
#214619972
#214616892
#214616872
C4×#145198392
#554×D612
#2251961