Finite Group Databasebeta

← #29657532

Subgroups — #29657532

Order 15616.

938 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21456994C211yesmaximal, characteristic, complemented
2#21456374C211yesmaximal, characteristic, complemented
3#21455981C211yesmaximal, characteristic, complemented
4#21445089C211yesmaximal, characteristic, complemented
5#21445082C211yesmaximal, characteristic, complemented
6#21445005C211yesmaximal, characteristic, complemented
7#21444998C211yesmaximal, characteristic, complemented
8#21444991C211yesmaximal, characteristic, complemented
9#21444984C211yesmaximal, characteristic, complemented
10#21444940C211yesmaximal, characteristic, complemented
11#21444935C211yesmaximal, characteristic, complemented
12#21444524C211yesmaximal, characteristic, complemented
13#21444279C211yesmaximal, characteristic, complemented
14#21444201C211yesmaximal, characteristic, complemented
15C61×#3514C211yesmaximal, characteristic
16#16840319C2211yescharacteristic, complemented
17#16840161—21no—
18#16840158C2211yescharacteristic, complemented
19#16840134C2211yescharacteristic
20#16840116—21no—
21#16840114C2211yescharacteristic, complemented
22#16840108C2211yescharacteristic
23#16840103—21no—
24#16840100—21no—
25#16840083—21no—
26#16840057C2211yescharacteristic, complemented
27#16840057C2211yescharacteristic, complemented
28#16840052C2211yescharacteristic
29#16840052C2211yescharacteristic
30#16840047C2211yescharacteristic, complemented
31#16840042C2211yescharacteristic
32#16839989—22no—
33#16839972C2211yescharacteristic, complemented
34#16839967C2211yescharacteristic
35#16839924—21no—
36#16839867—21no—
37#16839862—21no—
38C4×#11758200—22no—
39#16839819C2211yescharacteristic, complemented
40#16839815C2211yescharacteristic, complemented
41C2×C4×#92418C2211yescharacteristic, complemented
42#16839508C2211yescharacteristic, complemented
43#16839508C2211yescharacteristic, complemented
44#16839506C2211yescharacteristic
45#16839506C2211yescharacteristic
46Q8⋊#92418C2211yescharacteristic, complemented
47Q8⋊#92418C2211yescharacteristic, complemented
48Q8⋊#92418C2211yescharacteristic, complemented
49Q8⋊#92418C2211yescharacteristic, complemented
50D4⋊#92418C2211yescharacteristic
51D4⋊#92418C2211yescharacteristic
52D4⋊#92418C2211yescharacteristic
53D4⋊#92418C2211yescharacteristic
54C61×#559C2211yescharacteristic
55C61×#556C2211yescharacteristic
56C61×#555—21no—
57C61×#551—22no—
58D4×Q8×C61C2211yescharacteristic
59C61×#548—21no—
60C61×#546—21no—
61C61×#546—21no—
62D42×C61C2211yescharacteristic
63C61×#542—21no—
64C61×#538—22no—
65C61×#532C2211yescharacteristic
66C61×#529—21no—
67C61×#529C2211yescharacteristic
68C2×#124×C61—21no—
69C61×#518—21no—
70C4×#41×C61C2211yescharacteristic
71C2×#11758202—21no—
72C2×#11758200—21no—
73C2×#11758200—22no—
74C22×#92418—21no—
75#14519777C2311yescharacteristic
76#14519777C2311yescharacteristic
77#14519769—21no—
78#14519756—21no—
79#14519756—21no—
80C4×Dic122—21no—
81C4×Dic122—21no—
82#14519736—21no—
83#14519710—21no—
84#14519710—21no—
85#14519710—21no—
86#14519708—22no—
87#14519708—21no—
88#14519708—21no—
89#14519708—21no—
90C4⋊#92418C2311yescharacteristic
91C4⋊#92418C2311yescharacteristic
92C4⋊#92418C2311yescharacteristic
93C4⋊#92418C2311yescharacteristic
94#14519701—21no—
95#14519701—21no—
96#14519701—21no—
97#14519700—21no—
98#14519700—21no—
99#14519700—22no—
100#14519698—22no—
101#14519698—21no—
102#14519698—21no—
103#14519698—21no—
104C22⋊#92418—21no—
105C22⋊#92418—21no—
106#14519688—21no—
107C4×#92418—21no—
108C4×#92418—21no—
109C4×#92418C2311yescharacteristic
110C4×#92418C2311yescharacteristic
111C2×#41×C61—21no—
112C2×#41×C61D411yescharacteristic
113C22×Q8×C61—21no—
114C22×D4×C61—21no—
115C22×D4×C61—21no—
116C4⋊Q8×C61—21no—
117C4⋊Q8×C61C2311yescharacteristic
118#127×C61C2311yescharacteristic
119#126×C61—22no—
120#126×C61—22no—
121#126×C61—21no—
122#125×C61D411yescharacteristic
123#124×C61—22no—
124#124×C61—22no—
125#124×C61—22no—
126#124×C61—21no—
127#124×C61—21no—
128#124×C61—21no—
129#124×C61—21no—
130#124×C61D411yescharacteristic
131#123×C61—22no—
132#123×C61—22no—
133#123×C61—22no—
134#123×C61—21no—
135C22⋊Q8×C61—22no—
136C22⋊Q8×C61—21no—
137C22⋊Q8×C61—22no—
138C22⋊Q8×C61—21no—
139C22⋊Q8×C61D411yescharacteristic
140#121×C61—22no—
141#121×C61—22no—
142#121×C61—21no—
143#121×C61—21no—
144#121×C61—21no—
145#121×C61D412yes—
146#121×C61D411yescharacteristic
147#120×C61—22no—
148#120×C61—22no—
149C4×Q8×C61—21no—
150C4×Q8×C61D411yescharacteristic
151C4×Q8×C61C2311yescharacteristic
152C4×Q8×C61C2311yescharacteristic
153C4×D4×C61—22no—
154C4×D4×C61—22no—
155C4×D4×C61—21no—
156C4×D4×C61—21no—
157C4×D4×C61—21no—
158C4×D4×C61—21no—
159C4×D4×C61—21no—
160C4×D4×C61—21no—
161C4×D4×C61—21no—
162C4×D4×C61D412yes—
163C4×D4×C61D411yescharacteristic
164C4×D4×C61C2311yescharacteristic
165C4×D4×C61C2311yescharacteristic
166#117×C61—22no—
167#117×C61—21no—
168#117×C61—21no—
169#117×C61—21no—
170#117×C61D411yescharacteristic
171C2×C22⋊C4×C61—22no—
172C2×C22⋊C4×C61—22no—
173C2×C22⋊C4×C61—22no—
174C2×C42×C61—21no—
175C2×C42×C61C2311yescharacteristic
176C24×C61—22no—
177#41×C61—22no—
178#41×C61—41no—
179#41×C61—81no—
180#41×C61—81no—
181C2×Q8×C61—22no—
182C2×Q8×C61—21no—
183C2×Q8×C61—81no—
184C2×Q8×C61—81no—
185C2×Q8×C61C2×D411yescharacteristic
186C2×Q8×C61C2×D411yescharacteristic
187C2×D4×C61—22no—
188C2×D4×C61—21no—
189C2×D4×C61—22no—
190C2×D4×C61—21no—
191C2×D4×C61—22no—
192C2×D4×C61—21no—
193C2×D4×C61—21no—
194C2×D4×C61—42no—
195C2×D4×C61—42no—
196C2×D4×C61—81no—
197C2×D4×C61—81no—
198C2×D4×C61C2×D411yescharacteristic
199C2×D4×C61C2×D411yescharacteristic
200C2×D4×C61C2×D412yes—
201C22×C4×C61—22no—
202C22×C4×C61—22no—
203C22×C4×C61—21no—
204C22×C4×C61—21no—
205C22×C4×C61—21no—
206C22×C4×C61—21no—
207C22×C4×C61—22no—
208C22×C4×C61C2×D411yescharacteristic
209C22×C4×C61C2×D411yescharacteristic
210C22×C4×C61C2×D411yescharacteristic
211C2×Dic122—21no—
212C2×Dic122—21no—
213C4⋊C4×C61—22no—
214C4⋊C4×C61—22no—
215C4⋊C4×C61—21no—
216C4⋊C4×C61—21no—
217C4⋊C4×C61—21no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61—21no—
222C4⋊C4×C61C2×D411yescharacteristic
223C4⋊C4×C61C2×D411yescharacteristic
224C4⋊C4×C61C2×D411yescharacteristic
225C4⋊C4×C61C2×D412yes—
226C4⋊C4×C61C2×D411yescharacteristic
227C22⋊C4×C61—22no—
228C22⋊C4×C61—22no—
229C22⋊C4×C61—22no—
230C22⋊C4×C61—22no—
231C22⋊C4×C61—22no—
232C22⋊C4×C61—22no—
233C22⋊C4×C61—22no—
234C22⋊C4×C61—21no—
235C22⋊C4×C61—21no—
236C22⋊C4×C61—21no—
237C22⋊C4×C61—21no—
238C22⋊C4×C61—21no—
239C22⋊C4×C61—21no—
240C22⋊C4×C61—22no—
241C22⋊C4×C61—22no—
242C22⋊C4×C61—21no—
243C22⋊C4×C61—21no—
244C42×C61—22no—
245C42×C61—21no—
246C42×C61—21no—
247C42×C61—21no—
248C42×C61—21no—
249C42×C61C2×D411yescharacteristic
250C42×C61C2×D411yescharacteristic
251C42×C61C2×D411yescharacteristic
252C42×C61C2411yescharacteristic
253C22⋊Dic61—41no—
254#11758202—42no—
255#11758200—44no—
256#11758200—42no—
257C4⋊Dic61—21no—
258C4⋊Dic61—21no—
259C4⋊Dic61—21no—
260C4⋊Dic61—21no—
261#11758196—41no—
262#11758196—41no—
263C4×Dic61—41no—
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—22no—
274C23×C61—44no—
275C23×C61—82no—
276C23×C61—82no—
277C23×C61#12011yescharacteristic
278Q8×C61—21no—
279Q8×C61—21no—
280Q8×C61—21no—
281Q8×C61—21no—
282Q8×C61—41no—
283Q8×C61—41no—
284Q8×C61—82no—
285D4×C61—21no—
286D4×C61—21no—
287D4×C61—21no—
288D4×C61—42no—
289D4×C61—42no—
290D4×C61—44no—
291D4×C61—41no—
292D4×C61—41no—
293D4×C61—41no—
294D4×C61—41no—
295D4×C61—81no—
296D4×C61—82no—
297D4×C61—82no—
298D4×C61#13512yes—
299C2×C4×C61—21no—
300C2×C4×C61—21no—
301C2×C4×C61—21no—
302C2×C4×C61—21no—
303C2×C4×C61—21no—
304C2×C4×C61—21no—
305C2×C4×C61—21no—
306C2×C4×C61—21no—
307C2×C4×C61—21no—
308C2×C4×C61—21no—
309C2×C4×C61—22no—
310C2×C4×C61—41no—
311C2×C4×C61—42no—
312C2×C4×C61—41no—
313C2×C4×C61—41no—
314C2×C4×C61—41no—
315C2×C4×C61—41no—
316C2×C4×C61—81no—
317C2×C4×C61—82no—
318C2×C4×C61—82no—
319C2×C4×C61—82no—
320C2×C4×C61#12011yescharacteristic
321C2×C4×C61#12011yescharacteristic
322C2×C4×C61#12011yescharacteristic
323C2×C4×C61C22×D411yescharacteristic
324C2×C4×C61C22×D411yescharacteristic
325C2×C4×C61C22×D411yescharacteristic
326C2×Dic61—41no—
327C2×Dic61—41no—
328Dic122—42no—
329Dic122—41no—
330Dic122—41no—
331#92418—22no—
332#92418—41no—
333#92418—41no—
334#92418—41no—
335#92418—41no—
336#92418—41no—
337#18659—611nomaximal, Sylow
338C22×C61—21no—
339C22×C61—22no—
340C22×C61—21no—
341C22×C61—21no—
342C22×C61—41no—
343C22×C61—41no—
344C22×C61—41no—
345C22×C61—42no—
346C22×C61—42no—
347C22×C61—41no—
348C22×C61—42no—
349C22×C61—41no—
350C22×C61—164no—
351C22×C61C2×#12011yescharacteristic
352C4×C61—21no—
353C4×C61—21no—
354C4×C61—21no—
355C4×C61—21no—
356C4×C61—41no—
357C4×C61—41no—
358C4×C61—41no—
359C4×C61—42no—
360C4×C61—41no—
361C4×C61—41no—
362C4×C61—41no—
363C4×C61C2×#13511yescharacteristic
364C4×C61#57511yescharacteristic
365C4×C61#57711yescharacteristic
366C4×C61#57711yescharacteristic
367Dic61—81no—
368Dic61—81no—
369#3514D6111yescharacteristic
370#3233—611no—
371#3167—611no—
372#3116—611no—
373#1652—611no—
374#1651—611no—
375#1640—611no—
376#1639—611no—
377#1638—611no—
378#1637—611no—
379#1630—611no—
380#1629—611no—
381#1553—611no—
382#1494—611no—
383#1476—611no—
384C2×C61—41no—
385C2×C61—42no—
386C2×C61—82no—
387C2×C61—81no—
388C2×C61#300211yescharacteristic
389C2×C61#300911yescharacteristic
390C2×C61#301811yescharacteristic
391#559C2×D6111yescharacteristic
392#556C2×D6111yescharacteristic
393#555—21no—
394#551—22no—
395D4×Q8C2×D6111yescharacteristic
396#548—21no—
397#546—21no—
398#546—21no—
399D42C2×D6111yescharacteristic
400#542—21no—
401#538—22no—
402#533—611no—
403#532C2×D6111yescharacteristic
404#529—21no—
405#529C2×D6111yescharacteristic
406C2×#124—21no—
407#518—21no—
408C4×#41C2×D6111yescharacteristic
409#499—1221no—
410#498—611no—
411#492—611no—
412#488—1221no—
413#487—611no—
414#486—611no—
415#485—1221no—
416#485—1221no—
417#482—1221no—
418#477—611no—
419#477—611no—
420#476—611no—
421#476—611no—
422#475—611no—
423#474—611no—
424#465—1222no—
425#462—611no—
426#461—611no—
427#452—1221no—
428#441—1221no—
429#440—1221no—
430C4×SD16—1222no—
431#432—611no—
432#431—611no—
433C2×C4×C8—611no—
434#332—611no—
435#332—611no—
436#331—611no—
437#331—611no—
438Q8⋊C8—611no—
439Q8⋊C8—611no—
440Q8⋊C8—611no—
441Q8⋊C8—611no—
442D4⋊C8—611no—
443D4⋊C8—611no—
444D4⋊C8—611no—
445D4⋊C8—611no—
446C61#1865911yescharacteristic, complemented, Sylow
447C2×#41—21no—
448C2×#41C22⋊D6111yescharacteristic
449C22×Q8—21no—
450C22×D4—21no—
451C22×D4—21no—
452C2×Q16—1221no—
453C2×SD16—1222no—
454C2×SD16—1221no—
455C22×C8—1221no—
456C4⋊Q8—21no—
457C4⋊Q8—611no—
458C4⋊Q8—611no—
459C4⋊Q8C22×D6111yescharacteristic
460#127C22×D6111yescharacteristic
461#126—22no—
462#126—22no—
463#126—21no—
464#125—1221no—
465#125C22⋊D6111yescharacteristic
466#124—22no—
467#124—22no—
468#124—22no—
469#124—21no—
470#124—21no—
471#124—21no—
472#124—21no—
473#124C22⋊D6111yescharacteristic
474#123—22no—
475#123—22no—
476#123—22no—
477#123—21no—
478C22⋊Q8—22no—
479C22⋊Q8—21no—
480C22⋊Q8—21no—
481C22⋊Q8—22no—
482C22⋊Q8—1221no—
483C22⋊Q8—1221no—
484C22⋊Q8C22⋊D6111yescharacteristic
485#121—22no—
486#121—22no—
487#121—21no—
488#121—21no—
489#121—21no—
490#121C22⋊D6111yescharacteristic
491#121C22⋊D6112yes—
492#120—22no—
493#120—22no—
494C4×Q8—21no—
495C4×Q8—1221no—
496C4×Q8—1221no—
497C4×Q8C22⋊D6111yescharacteristic
498C4×Q8C22×D6111yescharacteristic
499C4×Q8C22×D6111yescharacteristic
500C4×D4—22no—
501C4×D4—22no—
502C4×D4—21no—
503C4×D4—21no—
504C4×D4—21no—
505C4×D4—21no—
506C4×D4—21no—
507C4×D4—21no—
508C4×D4—21no—
509C4×D4C22⋊D6111yescharacteristic
510C4×D4C22⋊D6112yes—
511C4×D4C22×D6111yescharacteristic
512C4×D4C22×D6111yescharacteristic
513#117—22no—
514#117—21no—
515#117—21no—
516#117—21no—
517#117—1221no—
518#117C22⋊D6111yescharacteristic
519C2×C22⋊C4—22no—
520C2×C22⋊C4—22no—
521C2×C22⋊C4—22no—
522C2×C42—21no—
523C2×C42C22×D6111yescharacteristic
524#107—1221no—
525#107—1221no—
526#107—1221no—
527#106—1222no—
528#106—1221no—
529#106—1221no—
530#106—1221no—
531C4⋊C8—611no—
532C4⋊C8—611no—
533C4⋊C8—611no—
534C4⋊C8—611no—
535#103—1221no—
536#103—1221no—
537#103—1221no—
538#103—1222no—
539#103—1221no—
540#103—1221no—
541#102—1222no—
542#102—1221no—
543#102—1221no—
544#102—1221no—
545C22⋊C8—1221no—
546C22⋊C8—1221no—
547#97—1221no—
548C4×C8—611no—
549C4×C8—611no—
550C4×C8—1221no—
551C4×C8—1221no—
552C24—22no—
553#41—22no—
554#41—41no—
555#41—81no—
556#41—81no—
557C2×Q8—22no—
558C2×Q8—21no—
559C2×Q8—81no—
560C2×Q8—81no—
561C2×Q8—1221no—
562C2×Q8—1221no—
563C2×Q8C2×C22⋊D6111yescharacteristic
564C2×Q8C2×C22⋊D6111yescharacteristic
565C2×D4—22no—
566C2×D4—21no—
567C2×D4—22no—
568C2×D4—21no—
569C2×D4—22no—
570C2×D4—21no—
571C2×D4—21no—
572C2×D4—42no—
573C2×D4—42no—
574C2×D4—81no—
575C2×D4—81no—
576C2×D4C2×C22⋊D6111yescharacteristic
577C2×D4C2×C22⋊D6111yescharacteristic
578C2×D4C2×C22⋊D6112yes—
579C22×C4—22no—
580C22×C4—22no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—22no—
586C22×C4C2×C22⋊D6111yescharacteristic
587C22×C4C2×C22⋊D6111yescharacteristic
588C22×C4C2×C22⋊D6111yescharacteristic
589Q16—2442no—
590SD16—2444no—
591SD16—2442no—
592C2×C8—1221no—
593C2×C8—1221no—
594C2×C8—1221no—
595C2×C8—1221no—
596C2×C8—1221no—
597C2×C8—1221no—
598C2×C8—2442no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C4⋊C4—1221no—
609C4⋊C4—1221no—
610C4⋊C4—1221no—
611C4⋊C4—1221no—
612C4⋊C4—2441no—
613C4⋊C4—2441no—
614C4⋊C4C2×C22⋊D6111yescharacteristic
615C4⋊C4C2×C22⋊D6112yes—
616C4⋊C4C2×C22⋊D6111yescharacteristic
617C4⋊C4C2×C22⋊D6111yescharacteristic
618C4⋊C4C2×C22⋊D6111yescharacteristic
619C22⋊C4—22no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—22no—
625C22⋊C4—22no—
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—21no—
630C22⋊C4—21no—
631C22⋊C4—21no—
632C22⋊C4—21no—
633C22⋊C4—21no—
634C22⋊C4—22no—
635C22⋊C4—22no—
636C22⋊C4—2441no—
637C42—22no—
638C42—21no—
639C42—21no—
640C42—21no—
641C42—21no—
642C42—2441no—
643C42C2×C22⋊D6111yescharacteristic
644C42C2×C22⋊D6111yescharacteristic
645C42C2×C22⋊D6111yescharacteristic
646C42C23×D6111yescharacteristic
647C23—21no—
648C23—21no—
649C23—22no—
650C23—44no—
651C23—82no—
652C23—82no—
653C23#1451974611yescharacteristic
654Q8—21no—
655Q8—21no—
656Q8—21no—
657Q8—21no—
658Q8—41no—
659Q8—41no—
660Q8—82no—
661Q8—2442no—
662Q8—2441no—
663Q8—2441no—
664D4—21no—
665D4—21no—
666D4—21no—
667D4—42no—
668D4—42no—
669D4—44no—
670D4—41no—
671D4—41no—
672D4—41no—
673D4—41no—
674D4—81no—
675D4—82no—
676D4—82no—
677D4#1451979712yes—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—22no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—81no—
696C2×C4—82no—
697C2×C4—82no—
698C2×C4—82no—
699C2×C4—2441no—
700C2×C4—2441no—
701C2×C4#1451974611yescharacteristic
702C2×C4#1451974611yescharacteristic
703C2×C4#1451974611yescharacteristic
704C2×C4C22×C22⋊D6111yescharacteristic
705C2×C4C22×C22⋊D6111yescharacteristic
706C2×C4C22×C22⋊D6111yescharacteristic
707C8—1222no—
708C8—2441no—
709C8—2441no—
710C8—2441no—
711C8—2441no—
712C8—2441no—
713C22—21no—
714C22—21no—
715C22—22no—
716C22—21no—
717C22—41no—
718C22—41no—
719C22—42no—
720C22—41no—
721C22—41no—
722C22—42no—
723C22—42no—
724C22—41no—
725C22—164no—
726C22C2×#1451974611yescharacteristic
727C4—21no—
728C4—21no—
729C4—21no—
730C4—21no—
731C4—41no—
732C4—41no—
733C4—41no—
734C4—41no—
735C4—41no—
736C4—42no—
737C4—41no—
738C4—4881no—
739C4—4881no—
740C4C2×#1451979711yescharacteristic
741C4#1684056011yescharacteristic
742C4#1684057311yescharacteristic
743C4#1684057311yescharacteristic
744C2—41no—
745C2—42no—
746C2—81no—
747C2—82no—
748C2#2145503711yescharacteristic
749C2#2145509611yescharacteristic
750C2#2145516811yescharacteristic
subgroupG/H
centerC22C2×#14519746
commutator, cosocleC42×C61C24
FrattiniC42C23×D61
Fitting, prime radicalC61×#3514C2
socleC22×C61C2×#120
hypercenter#3514D61
hypocenterC61#18659
LCSG ▷ C42×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3514

Complements

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

NH ≅ G/Ntype
1. #21456994C2semidirect
2. #21456374C2semidirect
3. #21455981C2semidirect
4. #21445089C2semidirect
5. #21445082C2semidirect
6. #21445005C2semidirect
7. #21444998C2semidirect
8. #21444991C2semidirect
9. #21444984C2semidirect
10. #21444940C2semidirect
11. #21444935C2semidirect
12. #21444524C2semidirect
13. #21444279C2semidirect
14. #21444201C2semidirect
16. #16840319C22semidirect
18. #16840158C22semidirect
21. #16840114C22semidirect
26. #16840057C22semidirect
27. #16840057C22semidirect
30. #16840047C22semidirect
33. #16839972C22semidirect
39. #16839819C22semidirect
40. #16839815C22semidirect
41. C2×C4×#92418C22semidirect
42. #16839508C22semidirect
43. #16839508C22semidirect
46. Q8⋊#92418C22semidirect
47. Q8⋊#92418C22semidirect
48. Q8⋊#92418C22semidirect
49. Q8⋊#92418C22semidirect
446. C61#18659semidirect

Maximal subgroups

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

subgroupindex
#214569942
#214563742
#214559812
#214450892
#214450822
#214450052
#214449982
#214449912
#214449842
#214449402
#214449352
#214445242
#214442792
#214442012
C61×#35142
#1865961