Finite Group Databasebeta

← #29648838

Subgroups — #29648838

Order 15616.

918 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459732C211yesmaximal, characteristic
2#21454938C211yesmaximal, characteristic, complemented
3#21454486C211yesmaximal, characteristic, complemented
4#21444553C211yesmaximal, characteristic, complemented
5#21444546C211yesmaximal, characteristic, complemented
6#21444542C211yesmaximal, characteristic, complemented
7#21444528C211yesmaximal, characteristic, complemented
8#21444525C211yesmaximal, characteristic, complemented
9#21444513C211yesmaximal, characteristic, complemented
10#21444513C211yesmaximal, characteristic, complemented
11#21444506C211yesmaximal, characteristic, complemented
12#21444500C211yesmaximal, characteristic, complemented
13#21444480C211yesmaximal, characteristic, complemented
14#21444473C211yesmaximal, characteristic, complemented
15C61×#1558C211yesmaximal, characteristic, complemented
16#16840486C412yes—
17#16840478—21no—
18#16840473—21no—
19#16840460—21no—
20#16840460—21no—
21#16840423C412yes—
22#16840423C412yes—
23#16840415C412yes—
24#16840386—21no—
25#16840386—21no—
26#16840343—21no—
27#16840317C2211yescharacteristic
28#16840317C2211yescharacteristic
29#16840313C2211yescharacteristic
30#16840313C2211yescharacteristic
31#16840312C2211yescharacteristic
32#16840243—21no—
33C4×#11758222C2211yescharacteristic
34#16839890—21no—
35#16839837—21no—
36#16839836—21no—
37#16839835—21no—
38#16839824—21no—
39#16839820—21no—
40#16839818C2211yescharacteristic
41#16839818C2211yescharacteristic
42#16839815C2211yescharacteristic
43#16839814C2211yescharacteristic
44#16839814C2211yescharacteristic
45#16839786C2211yescharacteristic
46#16839784C2211yescharacteristic
47#16839784C2211yescharacteristic
48C4⋊C8×D61C2211yescharacteristic
49C4⋊C8×D61C2211yescharacteristic
50#16839727—21no—
51#16839719—21no—
52#16839511C2211yescharacteristic
53#16839511C2211yescharacteristic
54#16839511C2211yescharacteristic
55#16839511C2211yescharacteristic
56#16839509C2211yescharacteristic
57#16839509C2211yescharacteristic
58#16839507C2211yescharacteristic
59#16839507C2211yescharacteristic
60#16839505C2211yescharacteristic
61#16839505C2211yescharacteristic
62#16839505C2211yescharacteristic
63#16839505C2211yescharacteristic
64C2×C4⋊Q8×C61C2211yescharacteristic
65C61×#432C2211yescharacteristic
66C61×#432C2211yescharacteristic
67C61×#333C2211yescharacteristic
68C61×#333C2211yescharacteristic
69C61×#333C2211yescharacteristic
70C61×#333C2211yescharacteristic
71C2×#11758226C2×C412yes—
72C2×#11758226C2×C412yes—
73C2×#11758222—21no—
74C2×#11758222D411yescharacteristic
75C2×#11758194—21no—
76C2×#11758189—21no—
77C2×#11758189—21no—
78C2×C8×D61—21no—
79C2×C8×D61—21no—
80#14519777C2311yescharacteristic
81#14519774C2311yescharacteristic
82#14519772—22no—
83#14519772—22no—
84#14519768—21no—
85#14519768—21no—
86#14519766—22no—
87#14519766—22no—
88#14519766C2×C412yes—
89#14519766C2×C412yes—
90#14519765—21no—
91#14519762—22no—
92#14519762—22no—
93#14519757—21no—
94#14519757—21no—
95#14519757—22no—
96#14519753—22no—
97#14519753—22no—
98#14519753C2×C412yes—
99#14519753C2×C412yes—
100#14519752—22no—
101#14519752—21no—
102#14519752—21no—
103#14519752—21no—
104#14519752—21no—
105#14519751—21no—
106#14519751—22no—
107#14519751—22no—
108#14519751C2×C412yes—
109Q8×Dic61C2×C412yes—
110Q8×Dic61C2×C412yes—
111C4×Dic122C2×C411yescharacteristic
112C4×Dic122D411yescharacteristic
113#14519742—21no—
114#14519742—21no—
115C4×D244—21no—
116C4×D244C2×C411yescharacteristic
117C4×D244C2×C412yes—
118C4×D244D411yescharacteristic
119#14519739—21no—
120#14519739—21no—
121#14519739—21no—
122#14519739—21no—
123C4×C22⋊D61—22no—
124C4×C22⋊D61—22no—
125C4×C22⋊D61C2×C411yescharacteristic
126C4×C22⋊D61C2×C411yescharacteristic
127C4×C22⋊D61D411yescharacteristic
128C4×C22⋊D61D411yescharacteristic
129#14519736D411yescharacteristic
130#14519735—21no—
131#14519735—21no—
132#14519735—22no—
133#14519734D411yescharacteristic
134#14519734D411yescharacteristic
135C4⋊C4×D61—22no—
136C42×D61C2311yescharacteristic
137C42×D61C2311yescharacteristic
138C4⋊#92418—21no—
139C4⋊#92418C2311yescharacteristic
140C4⋊#92418C2311yescharacteristic
141C4⋊#92418C2311yescharacteristic
142C4⋊#92418C2311yescharacteristic
143#14519706—21no—
144#14519706—21no—
145#14519706—21no—
146#14519706—21no—
147C22⋊#92418—21no—
148#14519689—21no—
149#14519689—21no—
150#14519689—21no—
151#14519689—21no—
152#14519687—21no—
153#14519687—21no—
154C4×#92418—21no—
155C8×Dic61—21no—
156C8×Dic61—21no—
157C22×Q8×C61C2×C412yes—
158C4⋊Q8×C61—21no—
159C4⋊Q8×C61—21no—
160C4⋊Q8×C61C2×C412yes—
161C4⋊Q8×C61C2311yescharacteristic
162C4⋊Q8×C61C2311yescharacteristic
163C2×C4⋊C4×C61—21no—
164C2×C4⋊C4×C61—21no—
165C2×C42×C61C2311yescharacteristic
166C4⋊C8×C61C2311yescharacteristic
167C4⋊C8×C61C2311yescharacteristic
168C4⋊C8×C61C2311yescharacteristic
169C4⋊C8×C61C2311yescharacteristic
170C22⋊C8×C61—21no—
171C22⋊C8×C61—21no—
172#97×C61—21no—
173#97×C61—21no—
174C2×Q8×C61—22no—
175C2×Q8×C61—82no—
176C2×Q8×C61C22×C412yes—
177C2×Q8×C61C22×C412yes—
178C22×C4×C61—22no—
179C22×C4×C61C22×C411yescharacteristic
180C22×C4×C61C2×D411yescharacteristic
181C22×C4×C61C2×D411yescharacteristic
182C2×C22⋊D61—22no—
183C2×C22⋊D61C22⋊C411yescharacteristic
184C2×C22⋊D61C22⋊C411yescharacteristic
185#11758226—82no—
186#11758226—82no—
187#11758222—41no—
188#11758222—41no—
189#11758222—42no—
190#11758222—42no—
191C2×D244—21no—
192C2×D244—21no—
193C2×D244—22no—
194C2×D244—22no—
195C2×D244C22⋊C411yescharacteristic
196C2×D244C22×C412yes—
197C2×C4×D61—22no—
198C2×C4×D61—22no—
199C2×C4×D61—22no—
200C2×C4×D61C22×C411yescharacteristic
201C2×C4×D61C22×C411yescharacteristic
202C2×C4×D61C2×D411yescharacteristic
203C2×C4×D61C2×D411yescharacteristic
204C2×C4×D61C2×D411yescharacteristic
205C2×C4×D61C2×D411yescharacteristic
206C2×Dic122—21no—
207C2×Dic122C22⋊C411yescharacteristic
208C2×C8×C61—21no—
209C2×C8×C61—21no—
210C2×C8×C61—21no—
211C2×C8×C61—21no—
212C4⋊C4×C61—22no—
213C4⋊C4×C61—22no—
214C4⋊C4×C61—21no—
215C4⋊C4×C61—21no—
216C4⋊C4×C61—21no—
217C4⋊C4×C61—21no—
218C42×C61C22×C411yescharacteristic
219C42×C61C2×D411yescharacteristic
220C42×C61C2×D411yescharacteristic
221C42×C61C2411yescharacteristic
222C22⋊Dic61C22⋊C411yescharacteristic
223C22⋊Dic61C22⋊C411yescharacteristic
224#11758198—22no—
225#11758198—22no—
226#11758198—22no—
227#11758198—22no—
228#11758198—22no—
229#11758198—22no—
230#11758198—22no—
231#11758198—22no—
232#11758198C22⋊C411yescharacteristic
233#11758198C22⋊C411yescharacteristic
234#11758198C22⋊C411yescharacteristic
235#11758198C22⋊C411yescharacteristic
236C4⋊Dic61—21no—
237C4⋊Dic61—22no—
238C4⋊Dic61—22no—
239C4⋊Dic61C22⋊C411yescharacteristic
240C4⋊Dic61C22⋊C411yescharacteristic
241C4⋊Dic61C22×C412yes—
242#11758196—22no—
243#11758196—22no—
244#11758196C22⋊C411yescharacteristic
245#11758196C22⋊C411yescharacteristic
246#11758196C22⋊C411yescharacteristic
247#11758196C22⋊C411yescharacteristic
248C4×Dic61—22no—
249C4×Dic61—22no—
250C4×Dic61C22×C411yescharacteristic
251C4×Dic61C22×C411yescharacteristic
252C4×Dic61C2×D411yescharacteristic
253C4×Dic61C2×D411yescharacteristic
254C4×Dic61C2×D411yescharacteristic
255C4×Dic61C2×D411yescharacteristic
256#11758194—81no—
257C2×#92418—21no—
258C2×#92418—21no—
259C2×#92418—21no—
260C2×#92418—21no—
261#11758189—42no—
262#11758189—81no—
263C8×D61—42no—
264C8×D61—81no—
265C23×C61C2×C22⋊C411yescharacteristic
266C22×D61—22no—
267C22×D61C2×C22⋊C411yescharacteristic
268C22×D61C2×C22⋊C411yescharacteristic
269Q8×C61—42no—
270Q8×C61—42no—
271Q8×C61—82no—
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—22no—
277C2×C4×C61—22no—
278C2×C4×C61—41no—
279C2×C4×C61—82no—
280C2×C4×C61C2×C22⋊C411yescharacteristic
281C2×C4×C61C2×C22⋊C411yescharacteristic
282C2×C4×C61C2×C22⋊C411yescharacteristic
283C2×C4×C61C23×C411yescharacteristic
284C2×C4×C61C22×D411yescharacteristic
285C2×C4×C61C22×D411yescharacteristic
286C22⋊D61—41no—
287C22⋊D61—41no—
288C22⋊D61—44no—
289C2×Dic61—22no—
290C2×Dic61C2×C22⋊C411yescharacteristic
291C2×Dic61C2×C22⋊C411yescharacteristic
292C2×Dic61C2×C22⋊C411yescharacteristic
293C2×Dic61C2×C22⋊C411yescharacteristic
294C2×Dic61C2×C22⋊C411yescharacteristic
295C2×Dic61C2×C22⋊C411yescharacteristic
296D244—41no—
297D244—42no—
298D244—41no—
299D244—41no—
300D244—41no—
301D244—41no—
302D244—82no—
303D244—82no—
304C4×D61—21no—
305C4×D61—21no—
306C4×D61—21no—
307C4×D61—21no—
308C4×D61—21no—
309C4×D61—21no—
310C4×D61—21no—
311C4×D61—21no—
312C4×D61—41no—
313C4×D61—41no—
314C4×D61—44no—
315C4×D61—82no—
316C4×D61—82no—
317Dic122—41no—
318Dic122—41no—
319Dic122—41no—
320C8×C61—41no—
321C8×C61—41no—
322C8×C61—41no—
323C8×C61—41no—
324#92418—41no—
325#92418—41no—
326#92418—41no—
327#92418—41no—
328#17768—611nomaximal, Sylow
329C22×C61—21no—
330C22×C61—21no—
331C22×C61—21no—
332C22×C61C22×C22⋊C411yescharacteristic
333C2×D61—21no—
334C2×D61—21no—
335C2×D61—21no—
336C2×D61—21no—
337C2×D61—21no—
338C2×D61—21no—
339C2×D61—42no—
340C2×D61—42no—
341C2×D61—42no—
342C4×C61—21no—
343C4×C61—21no—
344C4×C61—21no—
345C4×C61—21no—
346C4×C61—42no—
347C4×C61—42no—
348C4×C61#57511yescharacteristic
349C4×C61#57511yescharacteristic
350C4×C61#57711yescharacteristic
351C4×C61#57811yescharacteristic
352Dic61—21no—
353Dic61—21no—
354Dic61—21no—
355Dic61—21no—
356Dic61—21no—
357Dic61—21no—
358Dic61—42no—
359#3511—611no—
360#2989—611no—
361#2925—611no—
362#1560—611no—
363#1559—611no—
364#1558D6111yescharacteristic, complemented
365#1557—611no—
366#1554—611no—
367#1553—611no—
368#1551—611no—
369#1551—611no—
370#1550—611no—
371#1548—611no—
372#1543—611no—
373#1542—611no—
374C2×C61—41no—
375C2×C61#288811yescharacteristic
376C2×C61#289611yescharacteristic
377C2×C61#289811yescharacteristic
378D61—41no—
379D61—41no—
380D61—82no—
381#556—612no—
382#555—1221no—
383#554—1221no—
384#553—1221no—
385#553—1221no—
386#548—612no—
387#548—612no—
388#547—612no—
389#542—1221no—
390#542—1221no—
391#537—1221no—
392#533—611no—
393#533—611no—
394#532—611no—
395#532—611no—
396#532—611no—
397C2×C4⋊Q8C2×D6111yescharacteristic
398#520—1221no—
399C4×#41—611no—
400#446—1221no—
401#436—1221no—
402#435—1221no—
403#435—1221no—
404#433—1221no—
405#433—1221no—
406#432—611no—
407#432—611no—
408#432C2×D6111yescharacteristic
409#432C2×D6111yescharacteristic
410#431—611no—
411#431—611no—
412#431—611no—
413#423—611no—
414#423—611no—
415#423—611no—
416C2×C4⋊C8—611no—
417C2×C4⋊C8—611no—
418#408—1221no—
419#405—1221no—
420#333—611no—
421#333—611no—
422#333—611no—
423#333—611no—
424#333C2×D6111yescharacteristic
425#333C2×D6111yescharacteristic
426#333C2×D6111yescharacteristic
427#333C2×D6111yescharacteristic
428#332—611no—
429#332—611no—
430#332—611no—
431#332—611no—
432#331—611no—
433#331—611no—
434#331—611no—
435#331—611no—
436C61#1776811yescharacteristic, complemented, Sylow
437C2×#41—611no—
438C2×#41—612no—
439C2×#41—612no—
440C2×#41—1221no—
441C22×Q8C4×D6112yes—
442C2×M16—1221no—
443C2×M16—1221no—
444C2×M16—1221no—
445C22×C8—1221no—
446C22×C8—1221no—
447C4⋊Q8—21no—
448C4⋊Q8—21no—
449C4⋊Q8—611no—
450C4⋊Q8C4×D6112yes—
451C4⋊Q8C22×D6111yescharacteristic
452C4⋊Q8C22×D6111yescharacteristic
453#127—611no—
454#126—1222no—
455#126—1222no—
456#125—1221no—
457#125—1221no—
458#124—612no—
459#124—612no—
460#124—1222no—
461#124—1222no—
462#124—1221no—
463#123—1222no—
464#123—1222no—
465C22⋊Q8—612no—
466C22⋊Q8—612no—
467C22⋊Q8—1221no—
468C22⋊Q8—1221no—
469C22⋊Q8—1222no—
470C22⋊Q8—1222no—
471C22⋊Q8—1222no—
472#121—612no—
473#121—1221no—
474#121—1221no—
475#121—1221no—
476#121—1221no—
477#121—1222no—
478#121—1222no—
479#121—1222no—
480#121—1221no—
481C4×Q8—611no—
482C4×Q8—611no—
483C4×Q8—612no—
484C4×Q8—612no—
485C4×Q8—1221no—
486C4×Q8—1221no—
487C4×D4—611no—
488C4×D4—611no—
489C4×D4—611no—
490C4×D4—611no—
491C4×D4—611no—
492C4×D4—612no—
493C4×D4—611no—
494C4×D4—1221no—
495C4×D4—1221no—
496C4×D4—1221no—
497C4×D4—1221no—
498C4×D4—1222no—
499C4×D4—1222no—
500C4×D4—1221no—
501#117—611no—
502#117—611no—
503#117—611no—
504#117—1222no—
505#117—1221no—
506#117—1221no—
507C2×C4⋊C4—21no—
508C2×C4⋊C4—21no—
509C2×C4⋊C4—1222no—
510C2×C42—611no—
511C2×C42—611no—
512C2×C42C22×D6111yescharacteristic
513C4⋊C8—611no—
514C4⋊C8—611no—
515C4⋊C8—611no—
516C4⋊C8—611no—
517C4⋊C8—1221no—
518C4⋊C8—1221no—
519C4⋊C8—1221no—
520C4⋊C8—1221no—
521C4⋊C8—1221no—
522C4⋊C8C22×D6111yescharacteristic
523C4⋊C8C22×D6111yescharacteristic
524C4⋊C8C22×D6111yescharacteristic
525C4⋊C8C22×D6111yescharacteristic
526C22⋊C8—21no—
527C22⋊C8—21no—
528C22⋊C8—1221no—
529C22⋊C8—1221no—
530C22⋊C8—1221no—
531C22⋊C8—1221no—
532C22⋊C8—1221no—
533#97—21no—
534#97—21no—
535#97—1221no—
536#97—1221no—
537C4×C8—1221no—
538C4×C8—1221no—
539C4×C8—1221no—
540#41—4882no—
541#41—4882no—
542#41—2441no—
543#41—2441no—
544#41—2442no—
545#41—2442no—
546C2×Q8—22no—
547C2×Q8—82no—
548C2×Q8—611no—
549C2×Q8—1221no—
550C2×Q8C2×C4×D6112yes—
551C2×Q8C2×C4×D6112yes—
552C2×D4—611no—
553C2×D4—611no—
554C2×D4—612no—
555C2×D4—611no—
556C2×D4—1222no—
557C2×D4—1222no—
558C2×D4—1222no—
559C2×D4—1221no—
560C2×D4—1221no—
561C22×C4—22no—
562C22×C4—611no—
563C22×C4—611no—
564C22×C4—611no—
565C22×C4—611no—
566C22×C4—611no—
567C22×C4—611no—
568C22×C4—1222no—
569C22×C4—1222no—
570C22×C4—1222no—
571C22×C4C2×C4×D6111yescharacteristic
572C22×C4D4×D6111yescharacteristic
573C22×C4D4×D6111yescharacteristic
574M16—4881no—
575M16—4881no—
576M16—2442no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—1221no—
582C2×C8—1221no—
583C2×C8—1221no—
584C2×C8—1221no—
585C2×C8—4881no—
586C2×C8—2442no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—611no—
594C4⋊C4—611no—
595C4⋊C4—611no—
596C4⋊C4—611no—
597C4⋊C4—611no—
598C4⋊C4—611no—
599C4⋊C4—612no—
600C4⋊C4—1222no—
601C4⋊C4—1222no—
602C4⋊C4—1222no—
603C4⋊C4—1222no—
604C4⋊C4—1221no—
605C22⋊C4—611no—
606C22⋊C4—611no—
607C22⋊C4—611no—
608C22⋊C4—611no—
609C22⋊C4—611no—
610C22⋊C4—611no—
611C22⋊C4—1222no—
612C22⋊C4—1222no—
613C22⋊C4—1222no—
614C22⋊C4—1222no—
615C22⋊C4—1222no—
616C22⋊C4—1222no—
617C22⋊C4—1222no—
618C22⋊C4—1222no—
619C42—611no—
620C42—611no—
621C42—611no—
622C42—611no—
623C42—611no—
624C42—611no—
625C42—1222no—
626C42—1222no—
627C42C2×C4×D6111yescharacteristic
628C42D4×D6111yescharacteristic
629C42D4×D6111yescharacteristic
630C42C23×D6111yescharacteristic
631C23—611no—
632C23—611no—
633C23—1222no—
634C23C22⋊C4×D6111yescharacteristic
635Q8—42no—
636Q8—42no—
637Q8—82no—
638Q8—2441no—
639Q8—2441no—
640Q8—2441no—
641D4—4882no—
642D4—4882no—
643D4—2441no—
644D4—2442no—
645D4—2441no—
646D4—2441no—
647D4—2444no—
648D4—2441no—
649D4—2441no—
650D4—2441no—
651D4—2441no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—41no—
659C2×C4—82no—
660C2×C4—611no—
661C2×C4—611no—
662C2×C4—611no—
663C2×C4—611no—
664C2×C4—611no—
665C2×C4—611no—
666C2×C4—1221no—
667C2×C4—1221no—
668C2×C4—1221no—
669C2×C4—1221no—
670C2×C4—1221no—
671C2×C4—1221no—
672C2×C4—1221no—
673C2×C4—1221no—
674C2×C4—1222no—
675C2×C4—4882no—
676C2×C4—4882no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4—2444no—
680C2×C4C22⋊C4×D6111yescharacteristic
681C2×C4C22⋊C4×D6111yescharacteristic
682C2×C4C22⋊C4×D6111yescharacteristic
683C2×C4C22×C4×D6111yescharacteristic
684C2×C4C2×D4×D6111yescharacteristic
685C2×C4C2×D4×D6111yescharacteristic
686C8—41no—
687C8—41no—
688C8—41no—
689C8—41no—
690C8—2441no—
691C8—2441no—
692C8—2441no—
693C8—2441no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—1221no—
698C22—1221no—
699C22—1221no—
700C22—1221no—
701C22—1221no—
702C22—1221no—
703C22—2442no—
704C22—2442no—
705C22—2442no—
706C22C2×C22⋊C4×D6111yescharacteristic
707C4—21no—
708C4—21no—
709C4—21no—
710C4—21no—
711C4—42no—
712C4—42no—
713C4—1221no—
714C4—1221no—
715C4—1221no—
716C4—1221no—
717C4—1221no—
718C4—1221no—
719C4—2442no—
720C4#1684056111yescharacteristic
721C4#1684056111yescharacteristic
722C4#1684057111yescharacteristic
723C4#1684057811yescharacteristic
724C2—41no—
725C2—4882no—
726C2—2441no—
727C2—2441no—
728C2#2145429511yescharacteristic
729C2#2145433711yescharacteristic
730C2#2145435111yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC42C23×D61
FittingC61×#1558C2
socleC22×C61C22×C22⋊C4
prime radical#21459732C2
cosocleC42×C61C24
hypercenter#1558D61
hypocenterC61#17768
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1558

Complements

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

NH ≅ G/Ntype
2. #21454938C2semidirect
3. #21454486C2semidirect
4. #21444553C2semidirect
5. #21444546C2semidirect
6. #21444542C2semidirect
7. #21444528C2semidirect
8. #21444525C2semidirect
9. #21444513C2semidirect
10. #21444513C2semidirect
11. #21444506C2semidirect
12. #21444500C2semidirect
13. #21444480C2semidirect
14. #21444473C2semidirect
15. C61×#1558C2semidirect
364. #1558D61semidirect
436. C61#17768semidirect

Maximal subgroups

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

subgroupindex
#214597322
#214549382
#214544862
#214445532
#214445462
#214445422
#214445282
#214445252
#214445132
#214445062
#214445002
#214444802
#214444732
C61×#15582
#1776861