Finite Group Databasebeta

← #29655777

Subgroups — #29655777

Order 15616.

944 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
1#21456144C211yesmaximal, characteristic, complemented
2#21455879C211yesmaximal, characteristic, complemented
3#21455879C211yesmaximal, characteristic, complemented
4#21444991C211yesmaximal, characteristic, complemented
5#21444984C211yesmaximal, characteristic, complemented
6#21444977C211yesmaximal, characteristic, complemented
7#21444970C211yesmaximal, characteristic, complemented
8#21444929C211yesmaximal, characteristic, complemented
9#21444922C211yesmaximal, characteristic, complemented
10#21444915C211yesmaximal, characteristic, complemented
11#21444908C211yesmaximal, characteristic, complemented
12#21444484C211yesmaximal, characteristic, complemented
13#21444201C211yesmaximal, characteristic, complemented
14#21444201C211yesmaximal, characteristic, complemented
15C61×#3482C211yesmaximal, characteristic, complemented
16#16840312C2211yescharacteristic
17#16840119—22no—
18#16840114C2211yescharacteristic
19#16840114C2211yescharacteristic
20#16840110C2211yescharacteristic
21#16840110C2211yescharacteristic
22#16840086—21no—
23#16840086—21no—
24#16840057C2211yescharacteristic
25#16840057C2211yescharacteristic
26#16840052C2211yescharacteristic
27#16840052C2211yescharacteristic
28#16839962C2211yescharacteristic
29#16839962C2211yescharacteristic
30#16839957C2211yescharacteristic
31#16839957C2211yescharacteristic
32#16839907—21no—
33#16839907—21no—
34C4×#11758201—21no—
35C4×#11758201—21no—
36C4×#11758199—21no—
37C4×#11758199—21no—
38#16839815C2211yescharacteristic
39#16839815C2211yescharacteristic
40#16839756—22no—
41C2×C4×#92418C2211yescharacteristic
42#16839508C2211yescharacteristic
43#16839508C2211yescharacteristic
44#16839508C2211yescharacteristic
45#16839508C2211yescharacteristic
46Q8⋊#92418C2211yescharacteristic
47Q8⋊#92418C2211yescharacteristic
48Q8⋊#92418C2211yescharacteristic
49Q8⋊#92418C2211yescharacteristic
50D4⋊#92418C2211yescharacteristic
51D4⋊#92418C2211yescharacteristic
52D4⋊#92418C2211yescharacteristic
53D4⋊#92418C2211yescharacteristic
54C61×#557C2211yescharacteristic
55C61×#556—21no—
56C61×#556C2211yescharacteristic
57C61×#552—22no—
58C61×#552—21no—
59D4×Q8×C61C2211yescharacteristic
60C61×#548—21no—
61C61×#547—21no—
62C61×#547C2211yescharacteristic
63C61×#533—21no—
64C61×#533C2211yescharacteristic
65C61×#529—21no—
66C61×#529—22no—
67C4×#41×C61—21no—
68C4×#41×C61C2211yescharacteristic
69C4×#41×C61C2211yescharacteristic
70C2×C4×Q8×C61—21no—
71C2×#11758222—21no—
72C2×#11758201—21no—
73C2×#11758201—21no—
74C2×#11758199—21no—
75C2×#11758199—21no—
76C22×#92418—21no—
77#14519777C2311yescharacteristic
78#14519774C2311yescharacteristic
79#14519765—21no—
80#14519751—21no—
81#14519751—21no—
82C4×D244—21no—
83C4×D244—21no—
84#14519710—21no—
85#14519710—21no—
86#14519708—21no—
87#14519708—21no—
88C4⋊#92418C2311yescharacteristic
89C4⋊#92418C2311yescharacteristic
90C4⋊#92418C2311yescharacteristic
91C4⋊#92418C2311yescharacteristic
92#14519701—21no—
93#14519701—21no—
94#14519700—22no—
95#14519700—22no—
96#14519698—21no—
97#14519698—21no—
98#14519697—21no—
99#14519697—21no—
100#14519697—21no—
101#14519697—21no—
102#14519697—22no—
103#14519697—22no—
104C22⋊#92418—21no—
105C22⋊#92418—21no—
106C4×#92418—21no—
107C4×#92418—21no—
108C4×#92418—21no—
109C4×#92418C2311yescharacteristic
110C4×#92418C2311yescharacteristic
111C2×#41×C61—21no—
112C2×#41×C61D411yescharacteristic
113C2×#41×C61D411yescharacteristic
114C22×Q8×C61—21no—
115C4⋊Q8×C61—21no—
116C4⋊Q8×C61—21no—
117C4⋊Q8×C61C2311yescharacteristic
118C4⋊Q8×C61C2311yescharacteristic
119#126×C61—22no—
120#126×C61—22no—
121#126×C61—22no—
122#125×C61—22no—
123#125×C61—22no—
124#125×C61—21no—
125#125×C61D412yes—
126#124×C61—22no—
127#124×C61—21no—
128#123×C61—22no—
129#123×C61—22no—
130#123×C61—22no—
131C22⋊Q8×C61—22no—
132C22⋊Q8×C61—21no—
133C22⋊Q8×C61—21no—
134C22⋊Q8×C61—21no—
135C22⋊Q8×C61—21no—
136C22⋊Q8×C61—21no—
137C22⋊Q8×C61—22no—
138#121×C61—22no—
139#121×C61—21no—
140C4×Q8×C61—22no—
141C4×Q8×C61—22no—
142C4×Q8×C61—21no—
143C4×Q8×C61—21no—
144C4×Q8×C61—21no—
145C4×Q8×C61—21no—
146C4×Q8×C61—21no—
147C4×Q8×C61D411yescharacteristic
148C4×Q8×C61D411yescharacteristic
149C4×Q8×C61C2311yescharacteristic
150C4×Q8×C61C2311yescharacteristic
151C4×D4×C61—22no—
152C4×D4×C61—22no—
153C4×D4×C61—21no—
154C4×D4×C61—21no—
155C4×D4×C61—21no—
156C4×D4×C61—21no—
157C4×D4×C61—21no—
158C4×D4×C61D411yescharacteristic
159C4×D4×C61D411yescharacteristic
160C4×D4×C61C2311yescharacteristic
161C4×D4×C61C2311yescharacteristic
162#117×C61—22no—
163#117×C61—22no—
164#117×C61—21no—
165#117×C61—21no—
166#117×C61—21no—
167#117×C61D412yes—
168#117×C61D411yescharacteristic
169#117×C61D411yescharacteristic
170C2×C4⋊C4×C61—22no—
171C2×C4⋊C4×C61—21no—
172C2×C42×C61—22no—
173C2×C42×C61—21no—
174C2×C42×C61—21no—
175C2×C42×C61C2311yescharacteristic
176#41×C61—22no—
177#41×C61—22no—
178#41×C61—41no—
179#41×C61—41no—
180#41×C61—42no—
181#41×C61—42no—
182C2×Q8×C61—22no—
183C2×Q8×C61—21no—
184C2×Q8×C61—21no—
185C2×Q8×C61—42no—
186C2×Q8×C61—42no—
187C2×Q8×C61C2×D411yescharacteristic
188C2×Q8×C61C2×D411yescharacteristic
189C2×D4×C61—22no—
190C2×D4×C61—21no—
191C2×D4×C61—21no—
192C2×D4×C61C2×D411yescharacteristic
193C2×D4×C61C2×D411yescharacteristic
194C22×C4×C61—22no—
195C22×C4×C61—22no—
196C22×C4×C61—21no—
197C22×C4×C61—21no—
198C22×C4×C61—21no—
199C22×C4×C61—21no—
200C22×C4×C61—21no—
201C22×C4×C61—21no—
202C22×C4×C61C2×D411yescharacteristic
203C22×C4×C61C2×D411yescharacteristic
204C22×C4×C61C2×D411yescharacteristic
205C2×C22⋊D61—41no—
206#11758222—44no—
207C2×D244—21no—
208C2×D244—21no—
209C2×D244—21no—
210C2×C4×D61—41no—
211C2×Dic122—21no—
212C4⋊C4×C61—22no—
213C4⋊C4×C61—22no—
214C4⋊C4×C61—22no—
215C4⋊C4×C61—22no—
216C4⋊C4×C61—22no—
217C4⋊C4×C61—22no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—22no—
220C4⋊C4×C61—22no—
221C4⋊C4×C61—21no—
222C4⋊C4×C61—21no—
223C4⋊C4×C61—21no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61—21no—
226C4⋊C4×C61C2×D411yescharacteristic
227C4⋊C4×C61C2×D411yescharacteristic
228C4⋊C4×C61C2×D411yescharacteristic
229C4⋊C4×C61C2×D411yescharacteristic
230C4⋊C4×C61C2×D412yes—
231C4⋊C4×C61C2×D412yes—
232C22⋊C4×C61—22no—
233C22⋊C4×C61—22no—
234C22⋊C4×C61—22no—
235C22⋊C4×C61—22no—
236C22⋊C4×C61—21no—
237C22⋊C4×C61—21no—
238C22⋊C4×C61—22no—
239C22⋊C4×C61—21no—
240C22⋊C4×C61—21no—
241C22⋊C4×C61—21no—
242C22⋊C4×C61—21no—
243C42×C61—22no—
244C42×C61—22no—
245C42×C61—21no—
246C42×C61—21no—
247C42×C61—21no—
248C42×C61—22no—
249C42×C61—21no—
250C42×C61—21no—
251C42×C61—21no—
252C42×C61C2×D411yescharacteristic
253C42×C61C2×D411yescharacteristic
254C42×C61C2×D411yescharacteristic
255C42×C61C2411yescharacteristic
256#11758201—42no—
257#11758201—42no—
258#11758199—42no—
259#11758199—42no—
260#11758198—41no—
261#11758198—41no—
262C4⋊Dic61—21no—
263C4⋊Dic61—21no—
264C2×#92418—21no—
265C2×#92418—21no—
266C2×#92418—21no—
267C2×#92418—21no—
268C2×#92418—21no—
269C2×#92418—21no—
270C2×#92418—42no—
271C23×C61—21no—
272C23×C61—21no—
273C23×C61#12011yescharacteristic
274C22×D61—41no—
275Q8×C61—21no—
276Q8×C61—21no—
277Q8×C61—21no—
278Q8×C61—44no—
279Q8×C61—41no—
280Q8×C61—41no—
281Q8×C61—41no—
282Q8×C61—41no—
283Q8×C61#13512yes—
284D4×C61—21no—
285D4×C61—21no—
286D4×C61—21no—
287D4×C61—42no—
288D4×C61—42no—
289D4×C61—44no—
290D4×C61#13512yes—
291C2×C4×C61—21no—
292C2×C4×C61—21no—
293C2×C4×C61—21no—
294C2×C4×C61—21no—
295C2×C4×C61—21no—
296C2×C4×C61—22no—
297C2×C4×C61—21no—
298C2×C4×C61—21no—
299C2×C4×C61—21no—
300C2×C4×C61—22no—
301C2×C4×C61—21no—
302C2×C4×C61—21no—
303C2×C4×C61—22no—
304C2×C4×C61—42no—
305C2×C4×C61—42no—
306C2×C4×C61—44no—
307C2×C4×C61—44no—
308C2×C4×C61—41no—
309C2×C4×C61—41no—
310C2×C4×C61—41no—
311C2×C4×C61—41no—
312C2×C4×C61—42no—
313C2×C4×C61—42no—
314C2×C4×C61#12011yescharacteristic
315C2×C4×C61#12011yescharacteristic
316C2×C4×C61#12011yescharacteristic
317C2×C4×C61C22×D411yescharacteristic
318C2×C4×C61C22×D411yescharacteristic
319C2×C4×C61C22×D411yescharacteristic
320C22⋊D61—82no—
321C2×Dic61—41no—
322D244—42no—
323D244—41no—
324D244—41no—
325D244—41no—
326D244—41no—
327C4×D61—82no—
328Dic122—42no—
329#92418—41no—
330#92418—41no—
331#92418—41no—
332#92418—41no—
333#92418—41no—
334#92418—41no—
335#18494—611nomaximal, Sylow
336C22×C61—21no—
337C22×C61—21no—
338C22×C61—22no—
339C22×C61—21no—
340C22×C61—41no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61—41no—
344C22×C61—41no—
345C22×C61C2×#12011yescharacteristic
346C2×D61—81no—
347C2×D61—81no—
348C2×D61—81no—
349C4×C61—21no—
350C4×C61—21no—
351C4×C61—22no—
352C4×C61—21no—
353C4×C61—41no—
354C4×C61—41no—
355C4×C61—42no—
356C4×C61—42no—
357C4×C61—41no—
358C4×C61—41no—
359C4×C61—41no—
360C4×C61#45412yes—
361C4×C61C2×#13511yescharacteristic
362C4×C61C2×#13511yescharacteristic
363C4×C61#57511yescharacteristic
364C4×C61#57511yescharacteristic
365Dic61—81no—
366#3482D6111yescharacteristic, complemented
367#3131—611no—
368#3106—611no—
369#3106—611no—
370#1638—611no—
371#1637—611no—
372#1636—611no—
373#1635—611no—
374#1628—611no—
375#1627—611no—
376#1626—611no—
377#1625—611no—
378#1544—611no—
379#1476—611no—
380#1476—611no—
381C2×C61—41no—
382C2×C61—42no—
383C2×C61—81no—
384C2×C61#300211yescharacteristic
385C2×C61#300211yescharacteristic
386C2×C61C2×#45411yescharacteristic
387D61—161no—
388#557C2×D6111yescharacteristic
389#556—21no—
390#556C2×D6111yescharacteristic
391#552—22no—
392#552—21no—
393D4×Q8C2×D6111yescharacteristic
394#548—21no—
395#547—21no—
396#547C2×D6111yescharacteristic
397#533—21no—
398#533C2×D6111yescharacteristic
399#532—611no—
400#529—21no—
401#529—22no—
402C4×#41—21no—
403C4×#41C2×D6111yescharacteristic
404C4×#41C2×D6111yescharacteristic
405C2×C4×Q8—21no—
406#488—1222no—
407#487—611no—
408#487—611no—
409#486—611no—
410#486—611no—
411#482—1221no—
412#482—1221no—
413#477—611no—
414#477—611no—
415#476—611no—
416#476—611no—
417#460—611no—
418#460—611no—
419#459—611no—
420#459—611no—
421#449—1221no—
422#449—1221no—
423C4×SD16—1221no—
424C4×SD16—1221no—
425C4×D8—1221no—
426C4×D8—1221no—
427#431—611no—
428#431—611no—
429#416—1222no—
430C2×C4×C8—611no—
431#332—611no—
432#332—611no—
433#332—611no—
434#332—611no—
435Q8⋊C8—611no—
436Q8⋊C8—611no—
437Q8⋊C8—611no—
438Q8⋊C8—611no—
439D4⋊C8—611no—
440D4⋊C8—611no—
441D4⋊C8—611no—
442D4⋊C8—611no—
443C61#1849411yescharacteristic, complemented, Sylow
444C2×#41—21no—
445C2×#41—1221no—
446C2×#41C22⋊D6111yescharacteristic
447C2×#41C22⋊D6111yescharacteristic
448C22×Q8—21no—
449C2×SD16—1221no—
450C2×SD16—1221no—
451C2×D8—1221no—
452C2×D8—1221no—
453C22×C8—1221no—
454C4⋊Q8—21no—
455C4⋊Q8—21no—
456C4⋊Q8—611no—
457C4⋊Q8C22×D6111yescharacteristic
458C4⋊Q8C22×D6111yescharacteristic
459#127—611no—
460#126—22no—
461#126—22no—
462#126—22no—
463#125—22no—
464#125—22no—
465#125—21no—
466#125C22⋊D6112yes—
467#124—22no—
468#124—21no—
469#124—1221no—
470#123—22no—
471#123—22no—
472#123—22no—
473C22⋊Q8—22no—
474C22⋊Q8—21no—
475C22⋊Q8—21no—
476C22⋊Q8—21no—
477C22⋊Q8—21no—
478C22⋊Q8—22no—
479C22⋊Q8—21no—
480#121—22no—
481#121—21no—
482#121—1221no—
483#121—1221no—
484C4×Q8—22no—
485C4×Q8—22no—
486C4×Q8—21no—
487C4×Q8—21no—
488C4×Q8—21no—
489C4×Q8—21no—
490C4×Q8—21no—
491C4×Q8C22⋊D6111yescharacteristic
492C4×Q8C22⋊D6111yescharacteristic
493C4×Q8C22×D6111yescharacteristic
494C4×Q8C22×D6111yescharacteristic
495C4×D4—22no—
496C4×D4—22no—
497C4×D4—21no—
498C4×D4—21no—
499C4×D4—21no—
500C4×D4—21no—
501C4×D4—21no—
502C4×D4—1221no—
503C4×D4—1221no—
504C4×D4C22⋊D6111yescharacteristic
505C4×D4C22⋊D6111yescharacteristic
506C4×D4C22×D6111yescharacteristic
507C4×D4C22×D6111yescharacteristic
508#117—22no—
509#117—22no—
510#117—21no—
511#117—21no—
512#117—21no—
513#117C22⋊D6111yescharacteristic
514#117C22⋊D6111yescharacteristic
515#117C22⋊D6112yes—
516C2×C4⋊C4—22no—
517C2×C4⋊C4—21no—
518C2×C42—22no—
519C2×C42—21no—
520C2×C42—21no—
521C2×C42C22×D6111yescharacteristic
522#107—1221no—
523#107—1221no—
524#106—1221no—
525#106—1221no—
526C4⋊C8—611no—
527C4⋊C8—611no—
528C4⋊C8—611no—
529C4⋊C8—611no—
530#103—1221no—
531#103—1221no—
532#103—1222no—
533#103—1222no—
534#102—1221no—
535#102—1221no—
536#102—1222no—
537#102—1222no—
538#102—1221no—
539#102—1221no—
540#102—1221no—
541#102—1221no—
542C22⋊C8—1221no—
543C22⋊C8—1221no—
544C4×C8—611no—
545C4×C8—611no—
546C4×C8—1221no—
547C4×C8—1221no—
548C4×C8—1221no—
549#41—22no—
550#41—22no—
551#41—41no—
552#41—41no—
553#41—42no—
554#41—42no—
555#41—2444no—
556C2×Q8—22no—
557C2×Q8—21no—
558C2×Q8—21no—
559C2×Q8—42no—
560C2×Q8—42no—
561C2×Q8—1221no—
562C2×Q8C2×C22⋊D6111yescharacteristic
563C2×Q8C2×C22⋊D6111yescharacteristic
564C2×D4—22no—
565C2×D4—21no—
566C2×D4—21no—
567C2×D4—1221no—
568C2×D4—1221no—
569C2×D4—1221no—
570C2×D4—2441no—
571C2×D4C2×C22⋊D6111yescharacteristic
572C2×D4C2×C22⋊D6111yescharacteristic
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—21no—
576C22×C4—21no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—2441no—
582C22×C4C2×C22⋊D6111yescharacteristic
583C22×C4C2×C22⋊D6111yescharacteristic
584C22×C4C2×C22⋊D6111yescharacteristic
585SD16—2442no—
586SD16—2442no—
587D8—2442no—
588D8—2442no—
589C2×C8—1221no—
590C2×C8—1221no—
591C2×C8—1221no—
592C2×C8—1221no—
593C2×C8—1221no—
594C2×C8—1221no—
595C2×C8—2442no—
596C4⋊C4—22no—
597C4⋊C4—22no—
598C4⋊C4—22no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—22no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—22no—
608C4⋊C4—22no—
609C4⋊C4—21no—
610C4⋊C4—1221no—
611C4⋊C4—1221no—
612C4⋊C4C2×C22⋊D6112yes—
613C4⋊C4C2×C22⋊D6112yes—
614C4⋊C4C2×C22⋊D6111yescharacteristic
615C4⋊C4C2×C22⋊D6111yescharacteristic
616C4⋊C4C2×C22⋊D6111yescharacteristic
617C4⋊C4C2×C22⋊D6111yescharacteristic
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—21no—
623C22⋊C4—21no—
624C22⋊C4—22no—
625C22⋊C4—21no—
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—2441no—
630C22⋊C4—2441no—
631C42—22no—
632C42—22no—
633C42—21no—
634C42—21no—
635C42—21no—
636C42—21no—
637C42—21no—
638C42—21no—
639C42—22no—
640C42C2×C22⋊D6111yescharacteristic
641C42C2×C22⋊D6111yescharacteristic
642C42C2×C22⋊D6111yescharacteristic
643C42C23×D6111yescharacteristic
644C23—21no—
645C23—21no—
646C23—2441no—
647C23#1451974611yescharacteristic
648Q8—21no—
649Q8—21no—
650Q8—21no—
651Q8—44no—
652Q8—41no—
653Q8—41no—
654Q8—41no—
655Q8—41no—
656Q8—2442no—
657Q8#1451979712yes—
658D4—21no—
659D4—21no—
660D4—21no—
661D4—42no—
662D4—42no—
663D4—44no—
664D4—4882no—
665D4—2442no—
666D4—2441no—
667D4—2441no—
668D4—2441no—
669D4—2441no—
670D4#1451979712yes—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—22no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—22no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—4882no—
695C2×C4—2441no—
696C2×C4#1451974611yescharacteristic
697C2×C4#1451974611yescharacteristic
698C2×C4#1451974611yescharacteristic
699C2×C4C22×C22⋊D6111yescharacteristic
700C2×C4C22×C22⋊D6111yescharacteristic
701C2×C4C22×C22⋊D6111yescharacteristic
702C8—2441no—
703C8—2441no—
704C8—2441no—
705C8—2441no—
706C8—2441no—
707C8—2441no—
708C22—21no—
709C22—21no—
710C22—21no—
711C22—22no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—4881no—
718C22—4881no—
719C22—4881no—
720C22C2×#1451974611yescharacteristic
721C4—21no—
722C4—21no—
723C4—21no—
724C4—22no—
725C4—41no—
726C4—41no—
727C4—41no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4—41no—
732C4—4881no—
733C4#1683993512yes—
734C4C2×#1451979711yescharacteristic
735C4C2×#1451979711yescharacteristic
736C4#1684056011yescharacteristic
737C4#1684056011yescharacteristic
738C2—41no—
739C2—42no—
740C2—81no—
741C2—9761no—
742C2#2145503711yescharacteristic
743C2#2145503711yescharacteristic
744C2C2×#1683993511yescharacteristic
subgroupG/H
centerC2×C4#14519746
commutator, cosocleC42×C61C24
FrattiniC42C23×D61
FittingC61×#3482C2
socleC22×C61C2×#120
hypercenter#3482D61
hypocenterC61#18494
LCSG ▷ C42×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3482

Complements

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

NH ≅ G/Ntype
1. #21456144C2semidirect
2. #21455879C2semidirect
3. #21455879C2semidirect
4. #21444991C2semidirect
5. #21444984C2semidirect
6. #21444977C2semidirect
7. #21444970C2semidirect
8. #21444929C2semidirect
9. #21444922C2semidirect
10. #21444915C2semidirect
11. #21444908C2semidirect
12. #21444484C2semidirect
13. #21444201C2semidirect
14. #21444201C2semidirect
15. C61×#3482C2semidirect
366. #3482D61semidirect
443. C61#18494semidirect

Maximal subgroups

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

subgroupindex
#214561442
#214558792
#214449912
#214449842
#214449772
#214449702
#214449292
#214449222
#214449152
#214449082
#214444842
#214442012
C61×#34822
#1849461