Finite Group Databasebeta

← #29658904

Subgroups — #29658904

Order 15616.

1206 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21456741C211yesmaximal, characteristic, complemented
2#21455634C211yesmaximal, characteristic, complemented
3C2×#16840052C211yesmaximal, characteristic, complemented
4#21444984C212yesmaximal, complemented
5#21444970C212yesmaximal, complemented
6#21444946C212yesmaximal, complemented
7#21444935C212yesmaximal, complemented
8#21444496C211yesmaximal, characteristic, complemented
9#21444244C211yesmaximal, characteristic, complemented
10#21444206C211yesmaximal, characteristic, complemented
11D4×#41×C61C211yesmaximal, characteristic
12C2×#14519777C2211yescharacteristic, complemented
13#16840134C2212yescomplemented
14#16840114C2212yescomplemented
15#16840057C2212yescomplemented
16#16840052—21no—
17#16840052—21no—
18#16840052C2212yes—
19#16840052C2212yescomplemented
20#16840052C2212yescomplemented
21#16840047—21no—
22#16840042—21no—
23#16839967—22no—
24#16839900—22no—
25#16839815C2211yescharacteristic, complemented
26#16839805—21no—
27C2×#14519708—21no—
28#16839786C2211yescharacteristic, complemented
29C2×C4⋊#92418C2211yescharacteristic, complemented
30#16839763—21no—
31C2×#14519698—21no—
32#16839508C2212yescomplemented
33#16839506C2212yescomplemented
34Q8⋊#92418C2212yescomplemented
35D4⋊#92418C2212yes—
36D4⋊#92418C2212yescomplemented
37D4⋊#92418C2212yescomplemented
38C22×#41×C61—21no—
39C61×#550C2211yescharacteristic
40D4×Q8×C61C2211yescharacteristic
41C61×#548—21no—
42C61×#547—21no—
43C61×#547C2211yescharacteristic
44C61×#546—22no—
45C61×#546—21no—
46D42×C61—21no—
47D42×C61C2211yescharacteristic
48C61×#532—21no—
49C61×#532C2211yescharacteristic
50C61×#525—22no—
51C61×#525—21no—
52C4×#41×C61C2211yescharacteristic
53C2×C4×D4×C61—21no—
54C2×C4×D4×C61C2211yescharacteristic
55C22×Dic122—21no—
56C2×#11758200—24no—
57C2×#11758194—21no—
58C22×#92418—21no—
59#14519777—21no—
60#14519777—21no—
61#14519777—21no—
62#14519777C2312yes—
63C2×C4⋊Dic61—21no—
64C2×C4⋊Dic61—21no—
65#14519710—22no—
66#14519708—22no—
67#14519708—22no—
68#14519708—22no—
69C4⋊#92418—21no—
70C4⋊#92418—21no—
71C4⋊#92418—21no—
72C4⋊#92418C2312yes—
73C4⋊#92418C2312yes—
74#14519701—22no—
75#14519700—24no—
76#14519698—22no—
77#14519698—22no—
78#14519698—22no—
79C22⋊#92418—21no—
80C4×#92418C2312yes—
81C2×#41×C61—22no—
82C2×#41×C61—22no—
83C2×#41×C61—21no—
84C2×#41×C61—21no—
85C2×#41×C61—21no—
86C2×#41×C61—44no—
87C2×#41×C61—44no—
88C2×#41×C61D411yescharacteristic
89C22×Q8×C61—21no—
90C22×D4×C61—22no—
91C22×D4×C61—21no—
92C22×D4×C61—21no—
93C22×D4×C61D411yescharacteristic
94C23×C4×C61—22no—
95C23×C4×C61—21no—
96C4⋊Q8×C61—21no—
97C4⋊Q8×C61C2311yescharacteristic
98#127×C61—21no—
99#127×C61C2311yescharacteristic
100#124×C61—22no—
101#124×C61—21no—
102#123×C61—22no—
103#123×C61—22no—
104#123×C61—22no—
105C22⋊Q8×C61—22no—
106C22⋊Q8×C61—21no—
107C22⋊Q8×C61—22no—
108C22⋊Q8×C61—21no—
109#121×C61—22no—
110#121×C61—22no—
111#121×C61—21no—
112#121×C61—22no—
113#121×C61—21no—
114#121×C61—21no—
115#121×C61—21no—
116#121×C61—21no—
117#121×C61D412yes—
118#120×C61—22no—
119#120×C61—22no—
120#120×C61—22no—
121C4×Q8×C61D411yescharacteristic
122C4×Q8×C61C2311yescharacteristic
123C4×D4×C61—22no—
124C4×D4×C61—22no—
125C4×D4×C61—22no—
126C4×D4×C61—21no—
127C4×D4×C61—21no—
128C4×D4×C61—21no—
129C4×D4×C61—21no—
130C4×D4×C61—21no—
131C4×D4×C61—21no—
132C4×D4×C61—21no—
133C4×D4×C61D411yescharacteristic
134C4×D4×C61D412yes—
135C4×D4×C61D411yescharacteristic
136C4×D4×C61D411yescharacteristic
137C4×D4×C61C2311yescharacteristic
138C4×D4×C61C2311yescharacteristic
139C4×D4×C61C2311yescharacteristic
140#117×C61—21no—
141#117×C61D411yescharacteristic
142C2×C4⋊C4×C61—21no—
143C2×C4⋊C4×C61D411yescharacteristic
144C2×C22⋊C4×C61—22no—
145C2×C22⋊C4×C61—21no—
146C2×C42×C61—21no—
147C2×C42×C61C2311yescharacteristic
148C24×C61—22no—
149C24×C61—21no—
150#41×C61—22no—
151#41×C61—48no—
152#41×C61—48no—
153#41×C61—42no—
154#41×C61—42no—
155#41×C61—42no—
156#41×C61—42no—
157#41×C61—42no—
158#41×C61—42no—
159#41×C61SD1614yescomplemented
160C2×Q8×C61—22no—
161C2×Q8×C61—21no—
162C2×Q8×C61—42no—
163C2×Q8×C61—42no—
164C2×Q8×C61C2×D411yescharacteristic
165C2×D4×C61—21no—
166C2×D4×C61—22no—
167C2×D4×C61—22no—
168C2×D4×C61—22no—
169C2×D4×C61—22no—
170C2×D4×C61—22no—
171C2×D4×C61—22no—
172C2×D4×C61—22no—
173C2×D4×C61—21no—
174C2×D4×C61—21no—
175C2×D4×C61—21no—
176C2×D4×C61—41no—
177C2×D4×C61—42no—
178C2×D4×C61—48no—
179C2×D4×C61—42no—
180C2×D4×C61—42no—
181C2×D4×C61—42no—
182C2×D4×C61C2×D411yescharacteristic
183C2×D4×C61C2×D411yescharacteristic
184C2×D4×C61C2×D411yescharacteristic
185C2×D4×C61C2×D412yes—
186C22×C4×C61—21no—
187C22×C4×C61—22no—
188C22×C4×C61—22no—
189C22×C4×C61—22no—
190C22×C4×C61—21no—
191C22×C4×C61—21no—
192C22×C4×C61—21no—
193C22×C4×C61—22no—
194C22×C4×C61—21no—
195C22×C4×C61—21no—
196C22×C4×C61—21no—
197C22×C4×C61—21no—
198C22×C4×C61—48no—
199C22×C4×C61—42no—
200C22×C4×C61—42no—
201C22×C4×C61C2×D411yescharacteristic
202C22×C4×C61C2×D411yescharacteristic
203C22×C4×C61C2×D411yescharacteristic
204C22×Dic61—41no—
205C2×Dic122—22no—
206C2×Dic122—41no—
207C2×Dic122—82no—
208C4⋊C4×C61—22no—
209C4⋊C4×C61—22no—
210C4⋊C4×C61—21no—
211C4⋊C4×C61—21no—
212C4⋊C4×C61—21no—
213C4⋊C4×C61—21no—
214C4⋊C4×C61C2×D411yescharacteristic
215C4⋊C4×C61C2×D411yescharacteristic
216C4⋊C4×C61C2×D411yescharacteristic
217C4⋊C4×C61C2×D411yescharacteristic
218C4⋊C4×C61C2×D412yes—
219C22⋊C4×C61—22no—
220C22⋊C4×C61—22no—
221C22⋊C4×C61—22no—
222C22⋊C4×C61—22no—
223C22⋊C4×C61—21no—
224C22⋊C4×C61—21no—
225C22⋊C4×C61—22no—
226C22⋊C4×C61—21no—
227C22⋊C4×C61—21no—
228C22⋊C4×C61—22no—
229C22⋊C4×C61—21no—
230C22⋊C4×C61—21no—
231C22⋊C4×C61—21no—
232C42×C61—21no—
233C42×C61—21no—
234C42×C61—21no—
235C42×C61C2×D411yescharacteristic
236C42×C61C2×D411yescharacteristic
237C42×C61C2×D411yescharacteristic
238C42×C61C2411yescharacteristic
239#11758200—84no—
240C4⋊Dic61—22no—
241C4⋊Dic61—22no—
242C4⋊Dic61—41no—
243C4⋊Dic61—41no—
244#11758194—42no—
245C2×#92418—22no—
246C2×#92418—22no—
247C2×#92418—22no—
248C2×#92418—42no—
249C23×C61—21no—
250C23×C61—21no—
251C23×C61—21no—
252C23×C61—22no—
253C23×C61—42no—
254C23×C61—44no—
255C23×C61—44no—
256C23×C61—42no—
257C23×C61—81no—
258C23×C61—82no—
259C23×C61#12011yescharacteristic
260Q8×C61—21no—
261Q8×C61—44no—
262Q8×C61—41no—
263Q8×C61—41no—
264Q8×C61C2×SD1612yes—
265D4×C61—24no—
266D4×C61—21no—
267D4×C61—21no—
268D4×C61—21no—
269D4×C61—21no—
270D4×C61—42no—
271D4×C61—42no—
272D4×C61—44no—
273D4×C61—44no—
274D4×C61—44no—
275D4×C61—44no—
276D4×C61—44no—
277D4×C61—41no—
278D4×C61—41no—
279D4×C61—41no—
280D4×C61—41no—
281D4×C61—82no—
282D4×C61C2×SD1612yes—
283D4×C61#13712yes—
284C2×C4×C61—21no—
285C2×C4×C61—21no—
286C2×C4×C61—21no—
287C2×C4×C61—24no—
288C2×C4×C61—21no—
289C2×C4×C61—21no—
290C2×C4×C61—21no—
291C2×C4×C61—22no—
292C2×C4×C61—21no—
293C2×C4×C61—41no—
294C2×C4×C61—44no—
295C2×C4×C61—44no—
296C2×C4×C61—44no—
297C2×C4×C61—42no—
298C2×C4×C61—41no—
299C2×C4×C61—41no—
300C2×C4×C61—41no—
301C2×C4×C61—41no—
302C2×C4×C61—41no—
303C2×C4×C61—41no—
304C2×C4×C61—42no—
305C2×C4×C61—44no—
306C2×C4×C61—42no—
307C2×C4×C61—81no—
308C2×C4×C61#12011yescharacteristic
309C2×C4×C61#12011yescharacteristic
310C2×C4×C61#12011yescharacteristic
311C2×C4×C61C2×SD1612yes—
312C2×C4×C61AGL(1,ℤ/8)12yes—
313C2×C4×C61C22×D411yescharacteristic
314C2×C4×C61C22×D411yescharacteristic
315C2×C4×C61C22×D411yescharacteristic
316C2×Dic61—42no—
317C2×Dic61—82no—
318Dic122—44no—
319Dic122—82no—
320#92418—42no—
321#92418—42no—
322#92418—42no—
323#18787—611nomaximal, Sylow
324C22×C61—21no—
325C22×C61—21no—
326C22×C61—22no—
327C22×C61—22no—
328C22×C61—41no—
329C22×C61—41no—
330C22×C61—41no—
331C22×C61—41no—
332C22×C61—42no—
333C22×C61—41no—
334C22×C61—41no—
335C22×C61—42no—
336C22×C61—42no—
337C22×C61—41no—
338C22×C61—84no—
339C22×C61—88no—
340C22×C61#45012yes—
341C22×C61C2×#12011yescharacteristic
342C4×C61—22no—
343C4×C61—21no—
344C4×C61—21no—
345C4×C61—21no—
346C4×C61—41no—
347C4×C61—42no—
348C4×C61—41no—
349C4×C61—41no—
350C4×C61—41no—
351C4×C61#45012yes—
352C4×C61C22×SD1611yescharacteristic
353C4×C61C2×AGL(1,ℤ/8)11yescharacteristic
354C4×C61C2×#13711yescharacteristic
355C4×C61#57511yescharacteristic
356Dic61—82no—
357D4×#41D6111yescharacteristic
358#3206—611no—
359#3079—611no—
360C2×#476—611no—
361#1637—612no—
362#1635—612no—
363#1631—612no—
364#1629—612no—
365#1547—611no—
366#1486—611no—
367#1477—611no—
368C2×C61—22no—
369C2×C61—42no—
370C2×C61—42no—
371C2×C61—81no—
372C2×C61—82no—
373C2×C61C2×#45011yescharacteristic
374C2×C61#300711yescharacteristic
375C2×C61#302111yescharacteristic
376C22×#41—21no—
377#550C2×D6111yescharacteristic
378D4×Q8C2×D6111yescharacteristic
379#548—21no—
380#547—21no—
381#547C2×D6111yescharacteristic
382#546—22no—
383#546—21no—
384D42—21no—
385D42C2×D6111yescharacteristic
386#532—21no—
387#532C2×D6111yescharacteristic
388C2×C4⋊Q8—611no—
389#525—22no—
390#525—21no—
391C4×#41C2×D6111yescharacteristic
392C2×C4×D4—21no—
393C2×C4×D4C2×D6111yescharacteristic
394#492—612no—
395#487—612no—
396#477—612no—
397#476—612no—
398#476—612no—
399#476—612no—
400#476—1221no—
401#476—1221no—
402#475—1221no—
403#474—1221no—
404#461—1222no—
405#448—1222no—
406#431—611no—
407#428—1221no—
408C2×#106—1221no—
409#423—611no—
410C2×C4⋊C8—611no—
411#417—1221no—
412C2×#102—1221no—
413#332—612no—
414#331—612no—
415Q8⋊C8—612no—
416D4⋊C8—612no—
417D4⋊C8—612no—
418D4⋊C8—612no—
419C61#1878711yescharacteristic, complemented, Sylow
420C2×#41—22no—
421C2×#41—22no—
422C2×#41—21no—
423C2×#41—21no—
424C2×#41—21no—
425C2×#41—44no—
426C2×#41—44no—
427C2×#41C22⋊D6111yescharacteristic
428C22×Q8—21no—
429C22×Q8—1221no—
430C22×D4—22no—
431C22×D4—21no—
432C22×D4—21no—
433C22×D4C22⋊D6111yescharacteristic
434C23×C4—22no—
435C23×C4—21no—
436C2×SD16—1224no—
437C2×M16—1221no—
438C22×C8—1221no—
439C4⋊Q8—21no—
440C4⋊Q8—612no—
441C4⋊Q8—1221no—
442C4⋊Q8—1221no—
443C4⋊Q8—1221no—
444C4⋊Q8C22×D6111yescharacteristic
445#127—21no—
446#127C22×D6111yescharacteristic
447#124—22no—
448#124—21no—
449#123—22no—
450#123—22no—
451#123—22no—
452C22⋊Q8—22no—
453C22⋊Q8—21no—
454C22⋊Q8—22no—
455C22⋊Q8—21no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—21no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121C22⋊D6112yes—
465#120—22no—
466#120—22no—
467#120—22no—
468C4×Q8C22⋊D6111yescharacteristic
469C4×Q8C22×D6111yescharacteristic
470C4×D4—22no—
471C4×D4—22no—
472C4×D4—22no—
473C4×D4—21no—
474C4×D4—21no—
475C4×D4—21no—
476C4×D4—21no—
477C4×D4—21no—
478C4×D4—21no—
479C4×D4—21no—
480C4×D4C22⋊D6111yescharacteristic
481C4×D4C22⋊D6111yescharacteristic
482C4×D4C22⋊D6111yescharacteristic
483C4×D4C22⋊D6112yes—
484C4×D4C22×D6111yescharacteristic
485C4×D4C22×D6111yescharacteristic
486C4×D4C22×D6111yescharacteristic
487#117—21no—
488#117C22⋊D6111yescharacteristic
489C2×C4⋊C4—21no—
490C2×C4⋊C4—1221no—
491C2×C4⋊C4—1221no—
492C2×C4⋊C4C22⋊D6111yescharacteristic
493C2×C22⋊C4—22no—
494C2×C22⋊C4—21no—
495C2×C42—21no—
496C2×C42C22×D6111yescharacteristic
497#107—1222no—
498#106—1222no—
499#106—1222no—
500#106—1222no—
501C4⋊C8—612no—
502C4⋊C8—612no—
503C4⋊C8—1221no—
504C4⋊C8—1221no—
505C4⋊C8—1221no—
506#103—1222no—
507#103—1224no—
508#102—1222no—
509#102—1222no—
510#102—1222no—
511C22⋊C8—1221no—
512C4×C8—612no—
513C24—22no—
514C24—21no—
515#41—22no—
516#41—48no—
517#41—48no—
518#41—42no—
519#41—42no—
520#41—42no—
521#41—42no—
522#41—42no—
523#41—42no—
524#41#1175820014yescomplemented
525C2×Q8—22no—
526C2×Q8—21no—
527C2×Q8—42no—
528C2×Q8—42no—
529C2×Q8—1222no—
530C2×Q8—4882no—
531C2×Q8—2441no—
532C2×Q8C2×C22⋊D6111yescharacteristic
533C2×D4—21no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—22no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—22no—
540C2×D4—22no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—41no—
545C2×D4—48no—
546C2×D4—42no—
547C2×D4—42no—
548C2×D4—42no—
549C2×D4—42no—
550C2×D4C2×C22⋊D6111yescharacteristic
551C2×D4C2×C22⋊D6111yescharacteristic
552C2×D4C2×C22⋊D6111yescharacteristic
553C2×D4C2×C22⋊D6112yes—
554C22×C4—21no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—22no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—22no—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—48no—
567C22×C4—42no—
568C22×C4—42no—
569C22×C4—2441no—
570C22×C4C2×C22⋊D6111yescharacteristic
571C22×C4C2×C22⋊D6111yescharacteristic
572C22×C4C2×C22⋊D6111yescharacteristic
573SD16—4884no—
574M16—2442no—
575C2×C8—1222no—
576C2×C8—1222no—
577C2×C8—1222no—
578C2×C8—2442no—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—1222no—
586C4⋊C4—1222no—
587C4⋊C4—2441no—
588C4⋊C4—2441no—
589C4⋊C4C2×C22⋊D6112yes—
590C4⋊C4C2×C22⋊D6111yescharacteristic
591C4⋊C4C2×C22⋊D6111yescharacteristic
592C4⋊C4C2×C22⋊D6111yescharacteristic
593C4⋊C4C2×C22⋊D6111yescharacteristic
594C22⋊C4—22no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—21no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—22no—
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—22no—
607C42—21no—
608C42—21no—
609C42—21no—
610C42C2×C22⋊D6111yescharacteristic
611C42C2×C22⋊D6111yescharacteristic
612C42C2×C22⋊D6111yescharacteristic
613C42C23×D6111yescharacteristic
614C23—21no—
615C23—21no—
616C23—22no—
617C23—21no—
618C23—42no—
619C23—44no—
620C23—44no—
621C23—42no—
622C23—81no—
623C23—82no—
624C23#1451974611yescharacteristic
625Q8—21no—
626Q8—44no—
627Q8—41no—
628Q8—41no—
629Q8—4882no—
630Q8—2444no—
631Q8C2×#1175820012yes—
632D4—24no—
633D4—21no—
634D4—21no—
635D4—21no—
636D4—21no—
637D4—42no—
638D4—42no—
639D4—44no—
640D4—44no—
641D4—44no—
642D4—44no—
643D4—44no—
644D4—41no—
645D4—41no—
646D4—41no—
647D4—41no—
648D4—82no—
649D4C2×#1175820012yes—
650D4#1451980712yes—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—24no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—41no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—42no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—44no—
673C2×C4—42no—
674C2×C4—81no—
675C2×C4—4882no—
676C2×C4—2442no—
677C2×C4#1451974611yescharacteristic
678C2×C4#1451974611yescharacteristic
679C2×C4#1451974611yescharacteristic
680C2×C4C2×#1175820012yes—
681C2×C4#1451980312yes—
682C2×C4C22×C22⋊D6111yescharacteristic
683C2×C4C22×C22⋊D6111yescharacteristic
684C2×C4C22×C22⋊D6111yescharacteristic
685C8—2442no—
686C8—2442no—
687C8—2442no—
688C22—21no—
689C22—21no—
690C22—22no—
691C22—22no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—42no—
697C22—41no—
698C22—42no—
699C22—41no—
700C22—41no—
701C22—42no—
702C22—84no—
703C22—88no—
704C22#1683991312yes—
705C22C2×#1451974611yescharacteristic
706C4—21no—
707C4—21no—
708C4—22no—
709C4—21no—
710C4—41no—
711C4—41no—
712C4—42no—
713C4—41no—
714C4—41no—
715C4—4882no—
716C4#1683991312yes—
717C4C22×#1175820011yescharacteristic
718C4C2×#1451980311yescharacteristic
719C4C2×#1451980711yescharacteristic
720C4#1684056011yescharacteristic
721C2—22no—
722C2—42no—
723C2—42no—
724C2—82no—
725C2—81no—
726C2C2×#1683991311yescharacteristic
727C2#2145507911yescharacteristic
728C2#2145519111yescharacteristic
subgroupG/H
centerC22C2×#14519746
commutator, cosocleC42×C61C24
FrattiniC42C23×D61
Fitting, prime radicalD4×#41×C61C2
socleC22×C61C2×#120
hypercenterD4×#41D61
hypocenterC61#18787
LCSG ▷ C42×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ D4×#41

Complements

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

NH ≅ G/Ntype
1. #21456741C2semidirect
2. #21455634C2semidirect
3. C2×#16840052C2semidirect
4. #21444984C2semidirect
5. #21444970C2semidirect
6. #21444946C2semidirect
7. #21444935C2semidirect
8. #21444496C2semidirect
9. #21444244C2semidirect
10. #21444206C2semidirect
12. C2×#14519777C22semidirect
13. #16840134C22semidirect
14. #16840114C22semidirect
15. #16840057C22semidirect
19. #16840052C22semidirect
20. #16840052C22semidirect
25. #16839815C22semidirect
28. #16839786C22semidirect
29. C2×C4⋊#92418C22semidirect
32. #16839508C22semidirect
33. #16839506C22semidirect
34. Q8⋊#92418C22semidirect
36. D4⋊#92418C22semidirect
37. D4⋊#92418C22semidirect
159. #41×C61SD16semidirect
419. C61#18787semidirect
524. #41#11758200semidirect

Maximal subgroups

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

subgroupindex
#214567412
#214556342
C2×#168400522
#214449842
#214449702
#214449462
#214449352
#214444962
#214442442
#214442062
D4×#41×C612
#1878761