Finite Group Databasebeta

← #29656038

Subgroups — #29656038

Order 15616.

936 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21456374C211yesmaximal, characteristic, complemented
2#21455858C211yesmaximal, characteristic, complemented
3#21455607C211yesmaximal, characteristic, complemented
4#21445096C211yesmaximal, characteristic, complemented
5#21445089C211yesmaximal, characteristic, complemented
6#21445012C211yesmaximal, characteristic, complemented
7#21445005C211yesmaximal, characteristic, complemented
8#21444991C211yesmaximal, characteristic, complemented
9#21444977C211yesmaximal, characteristic, complemented
10#21444946C211yesmaximal, characteristic, complemented
11#21444940C211yesmaximal, characteristic, complemented
12#21444468C211yesmaximal, characteristic, complemented
13#21444201C211yesmaximal, characteristic, complemented
14C2×Q8⋊#92418C211yesmaximal, characteristic, complemented
15C61×#3480C211yesmaximal, characteristic
16#16840319C2211yescharacteristic
17#16840158C2211yescharacteristic
18#16840134C2211yescharacteristic
19#16840114C2211yescharacteristic
20#16840108C2211yescharacteristic
21#16840097—21no—
22#16840069—21no—
23#16840062—21no—
24#16840057C2211yescharacteristic
25#16840057C2211yescharacteristic
26#16840057C2211yescharacteristic
27#16840052C2211yescharacteristic
28#16840047C2211yescharacteristic
29#16840042C2211yescharacteristic
30#16839989—22no—
31#16839972C2211yescharacteristic
32#16839972C2211yescharacteristic
33#16839918—21no—
34C4×#11758202—21no—
35C4×#11758202—21no—
36C4×#11758200—22no—
37#16839815C2211yescharacteristic
38#16839798—21no—
39C2×C4⋊#92418C2211yescharacteristic
40#16839758—21no—
41C2×C4×#92418C2211yescharacteristic
42#16839508C2211yescharacteristic
43#16839508C2211yescharacteristic
44#16839506C2211yescharacteristic
45#16839506C2211yescharacteristic
46Q8⋊#92418C2211yescharacteristic
47Q8⋊#92418C2211yescharacteristic
48Q8⋊#92418C2211yescharacteristic
49Q8⋊#92418C2211yescharacteristic
50Q8⋊#92418C2211yescharacteristic
51Q8⋊#92418C2211yescharacteristic
52D4⋊#92418C2211yescharacteristic
53D4⋊#92418C2211yescharacteristic
54C61×#559—21no—
55C61×#559C2211yescharacteristic
56C61×#557C2211yescharacteristic
57C61×#556—21no—
58C61×#556C2211yescharacteristic
59C61×#553—22no—
60C61×#553—21no—
61C61×#550C2211yescharacteristic
62C61×#548—21no—
63C61×#532—21no—
64C61×#532C2211yescharacteristic
65C61×#529—21no—
66C61×#529—22no—
67C4×#41×C61—21no—
68C4×#41×C61—21no—
69C4×#41×C61C2211yescharacteristic
70C2×C4×Q8×C61C2211yescharacteristic
71C2×#11758202—21no—
72C2×#11758202—21no—
73C2×#11758200—22no—
74C22×#92418—21no—
75C22×#92418—21no—
76#14519777C2311yescharacteristic
77#14519777C2311yescharacteristic
78#14519769—21no—
79#14519756—21no—
80#14519756—21no—
81C4×Dic122—21no—
82C4×Dic122—21no—
83#14519736—21no—
84#14519710—21no—
85#14519710—21no—
86#14519710—21no—
87#14519710—21no—
88#14519708—22no—
89#14519708—21no—
90#14519708—21no—
91C4⋊#92418—21no—
92C4⋊#92418C2311yescharacteristic
93C4⋊#92418C2311yescharacteristic
94C4⋊#92418C2311yescharacteristic
95C4⋊#92418C2311yescharacteristic
96#14519701—21no—
97#14519701—21no—
98#14519701—21no—
99#14519701—21no—
100#14519700—21no—
101#14519700—21no—
102#14519700—22no—
103#14519698—22no—
104#14519698—21no—
105#14519698—21no—
106C22⋊#92418—21no—
107C4×#92418—21no—
108C4×#92418—21no—
109C4×#92418C2311yescharacteristic
110C4×#92418C2311yescharacteristic
111C2×#41×C61—21no—
112C2×#41×C61—21no—
113C2×#41×C61D411yescharacteristic
114C22×Q8×C61D411yescharacteristic
115C4⋊Q8×C61—21no—
116C4⋊Q8×C61C2311yescharacteristic
117#127×C61—21no—
118#127×C61C2311yescharacteristic
119#126×C61—22no—
120#126×C61—22no—
121#126×C61—22no—
122#125×C61—22no—
123#125×C61—21no—
124#124×C61—22no—
125#124×C61—21no—
126#124×C61—21no—
127#124×C61—21no—
128#124×C61—21no—
129#123×C61—22no—
130#123×C61—22no—
131#123×C61—22no—
132C22⋊Q8×C61—22no—
133C22⋊Q8×C61—21no—
134#121×C61—22no—
135#121×C61—22no—
136#121×C61—22no—
137#121×C61—21no—
138#121×C61—21no—
139#121×C61D412yes—
140C4×Q8×C61—21no—
141C4×Q8×C61—21no—
142C4×Q8×C61—21no—
143C4×Q8×C61—21no—
144C4×Q8×C61—21no—
145C4×Q8×C61D411yescharacteristic
146C4×Q8×C61D411yescharacteristic
147C4×Q8×C61D411yescharacteristic
148C4×Q8×C61C2311yescharacteristic
149C4×Q8×C61C2311yescharacteristic
150C4×Q8×C61C2311yescharacteristic
151C4×D4×C61—22no—
152C4×D4×C61—22no—
153C4×D4×C61—22no—
154C4×D4×C61—22no—
155C4×D4×C61—22no—
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
165#117×C61—22no—
166#117×C61—22no—
167#117×C61—21no—
168#117×C61—21no—
169#117×C61D411yescharacteristic
170C2×C4⋊C4×C61—21no—
171C2×C4⋊C4×C61D411yescharacteristic
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—42no—
179#41×C61—42no—
180#41×C61—42no—
181#41×C61—42no—
182C2×Q8×C61—21no—
183C2×Q8×C61—21no—
184C2×Q8×C61—22no—
185C2×Q8×C61—41no—
186C2×Q8×C61C2×D411yescharacteristic
187C2×Q8×C61C2×D411yescharacteristic
188C2×Q8×C61C2×D411yescharacteristic
189C2×D4×C61—22no—
190C2×D4×C61—21no—
191C2×D4×C61—22no—
192C2×D4×C61—22no—
193C2×D4×C61—21no—
194C2×D4×C61—21no—
195C2×D4×C61C2×D411yescharacteristic
196C2×D4×C61C2×D412yes—
197C22×C4×C61—22no—
198C22×C4×C61—21no—
199C22×C4×C61—22no—
200C22×C4×C61—21no—
201C22×C4×C61—21no—
202C22×C4×C61—22no—
203C22×C4×C61—21no—
204C22×C4×C61—21no—
205C22×C4×C61C2×D411yescharacteristic
206C22×C4×C61C2×D411yescharacteristic
207C22×C4×C61C2×D411yescharacteristic
208C2×Dic122—21no—
209C2×Dic122—21no—
210C4⋊C4×C61—22no—
211C4⋊C4×C61—22no—
212C4⋊C4×C61—22no—
213C4⋊C4×C61—22no—
214C4⋊C4×C61—21no—
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×D411yescharacteristic
226C4⋊C4×C61C2×D412yes—
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—21no—
234C22⋊C4×C61—22no—
235C22⋊C4×C61—21no—
236C22⋊C4×C61—22no—
237C22⋊C4×C61—21no—
238C42×C61—22no—
239C42×C61—22no—
240C42×C61—21no—
241C42×C61—21no—
242C42×C61—21no—
243C42×C61—21no—
244C42×C61—21no—
245C42×C61—21no—
246C42×C61—21no—
247C42×C61C2×D411yescharacteristic
248C42×C61C2×D411yescharacteristic
249C42×C61C2×D411yescharacteristic
250C42×C61C2411yescharacteristic
251C22⋊Dic61—41no—
252#11758202—42no—
253#11758202—42no—
254#11758200—44no—
255C4⋊Dic61—21no—
256C4⋊Dic61—21no—
257C4⋊Dic61—21no—
258C4⋊Dic61—21no—
259#11758196—41no—
260#11758196—41no—
261C4×Dic61—41no—
262C2×#92418—21no—
263C2×#92418—21no—
264C2×#92418—21no—
265C2×#92418—21no—
266C2×#92418—21no—
267C2×#92418—21no—
268C2×#92418—42no—
269C2×#92418—42no—
270C23×C61—21no—
271C23×C61—22no—
272C23×C61#12011yescharacteristic
273Q8×C61—21no—
274Q8×C61—21no—
275Q8×C61—21no—
276Q8×C61—21no—
277Q8×C61—21no—
278Q8×C61—42no—
279Q8×C61—41no—
280Q8×C61—41no—
281Q8×C61#13512yes—
282D4×C61—21no—
283D4×C61—21no—
284D4×C61—42no—
285D4×C61—44no—
286D4×C61—42no—
287D4×C61—44no—
288D4×C61—41no—
289D4×C61—41no—
290D4×C61—41no—
291D4×C61—41no—
292D4×C61—82no—
293C2×C4×C61—21no—
294C2×C4×C61—21no—
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—21no—
298C2×C4×C61—21no—
299C2×C4×C61—21no—
300C2×C4×C61—21no—
301C2×C4×C61—22no—
302C2×C4×C61—21no—
303C2×C4×C61—41no—
304C2×C4×C61—42no—
305C2×C4×C61—44no—
306C2×C4×C61—41no—
307C2×C4×C61—41no—
308C2×C4×C61—42no—
309C2×C4×C61—44no—
310C2×C4×C61—81no—
311C2×C4×C61—81no—
312C2×C4×C61—82no—
313C2×C4×C61#12011yescharacteristic
314C2×C4×C61#12011yescharacteristic
315C2×C4×C61#12011yescharacteristic
316C2×C4×C61#13512yes—
317C2×C4×C61#13712yes—
318C2×C4×C61C22×D411yescharacteristic
319C2×C4×C61C22×D411yescharacteristic
320C2×C4×C61C22×D411yescharacteristic
321C2×Dic61—41no—
322C2×Dic61—41no—
323Dic122—42no—
324Dic122—41no—
325Dic122—41no—
326#92418—22no—
327#92418—41no—
328#92418—41no—
329#92418—41no—
330#92418—41no—
331#92418—41no—
332#18521—611nomaximal, Sylow
333C22×C61—21no—
334C22×C61—21no—
335C22×C61—41no—
336C22×C61—42no—
337C22×C61—42no—
338C22×C61—41no—
339C22×C61—42no—
340C22×C61—41no—
341C22×C61#45212yes—
342C22×C61C2×#12011yescharacteristic
343C4×C61—21no—
344C4×C61—22no—
345C4×C61—21no—
346C4×C61—21no—
347C4×C61—41no—
348C4×C61—42no—
349C4×C61—41no—
350C4×C61—41no—
351C4×C61—41no—
352C4×C61—41no—
353C4×C61—41no—
354C4×C61#45212yes—
355C4×C61C2×#13511yescharacteristic
356C4×C61C2×#13511yescharacteristic
357C4×C61C2×#13711yescharacteristic
358C4×C61#57511yescharacteristic
359Dic61—81no—
360Dic61—81no—
361#3480D6111yescharacteristic
362#3167—611no—
363#3104—611no—
364#3076—611no—
365#1653—611no—
366#1652—611no—
367#1641—611no—
368#1640—611no—
369#1638—611no—
370#1636—611no—
371#1631—611no—
372#1630—611no—
373#1540—611no—
374#1476—611no—
375C2×Q8⋊C8—611no—
376C2×C61—22no—
377C2×C61—81no—
378C2×C61—82no—
379C2×C61C2×#45211yescharacteristic
380C2×C61#300211yescharacteristic
381C2×C61#301811yescharacteristic
382#559—21no—
383#559C2×D6111yescharacteristic
384#557C2×D6111yescharacteristic
385#556—21no—
386#556C2×D6111yescharacteristic
387#553—22no—
388#553—21no—
389#550C2×D6111yescharacteristic
390#548—21no—
391#533—611no—
392#532—21no—
393#532C2×D6111yescharacteristic
394#529—21no—
395#529—22no—
396C4×#41—21no—
397C4×#41—21no—
398C4×#41C2×D6111yescharacteristic
399C2×C4×Q8C2×D6111yescharacteristic
400#498—611no—
401#492—611no—
402#487—611no—
403#486—611no—
404#484—1221no—
405#479—1221no—
406#478—1221no—
407#477—611no—
408#477—611no—
409#477—611no—
410#476—611no—
411#475—611no—
412#474—611no—
413#465—1222no—
414#462—611no—
415#462—611no—
416#451—1221no—
417C4×Q16—1221no—
418C4×Q16—1221no—
419C4×SD16—1222no—
420#431—611no—
421#427—1221no—
422C2×C4⋊C8—611no—
423#416—1221no—
424C2×C4×C8—611no—
425#332—611no—
426#332—611no—
427#331—611no—
428#331—611no—
429Q8⋊C8—611no—
430Q8⋊C8—611no—
431Q8⋊C8—611no—
432Q8⋊C8—611no—
433Q8⋊C8—611no—
434Q8⋊C8—611no—
435D4⋊C8—611no—
436D4⋊C8—611no—
437C61#1852111yescharacteristic, complemented, Sylow
438C2×#41—21no—
439C2×#41—21no—
440C2×#41C22⋊D6111yescharacteristic
441C22×Q8C22⋊D6111yescharacteristic
442C2×Q16—1221no—
443C2×Q16—1221no—
444C2×SD16—1222no—
445C22×C8—1221no—
446C22×C8—1221no—
447C4⋊Q8—21no—
448C4⋊Q8—611no—
449C4⋊Q8—611no—
450C4⋊Q8C22×D6111yescharacteristic
451#127—21no—
452#127C22×D6111yescharacteristic
453#126—22no—
454#126—22no—
455#126—22no—
456#125—22no—
457#125—21no—
458#125—1221no—
459#124—22no—
460#124—21no—
461#124—21no—
462#124—21no—
463#124—21no—
464#123—22no—
465#123—22no—
466#123—22no—
467C22⋊Q8—22no—
468C22⋊Q8—21no—
469C22⋊Q8—1221no—
470C22⋊Q8—1221no—
471#121—22no—
472#121—22no—
473#121—22no—
474#121—21no—
475#121—21no—
476#121C22⋊D6112yes—
477C4×Q8—21no—
478C4×Q8—21no—
479C4×Q8—21no—
480C4×Q8—21no—
481C4×Q8—21no—
482C4×Q8—1221no—
483C4×Q8—1221no—
484C4×Q8C22⋊D6111yescharacteristic
485C4×Q8C22⋊D6111yescharacteristic
486C4×Q8C22⋊D6111yescharacteristic
487C4×Q8C22×D6111yescharacteristic
488C4×Q8C22×D6111yescharacteristic
489C4×Q8C22×D6111yescharacteristic
490C4×D4—22no—
491C4×D4—22no—
492C4×D4—22no—
493C4×D4—22no—
494C4×D4—22no—
495C4×D4—21no—
496C4×D4—21no—
497C4×D4—21no—
498C4×D4—21no—
499C4×D4—21no—
500C4×D4—21no—
501C4×D4C22⋊D6111yescharacteristic
502C4×D4C22⋊D6112yes—
503C4×D4C22×D6111yescharacteristic
504#117—22no—
505#117—22no—
506#117—21no—
507#117—21no—
508#117—1221no—
509#117C22⋊D6111yescharacteristic
510C2×C4⋊C4—21no—
511C2×C4⋊C4C22⋊D6111yescharacteristic
512C2×C42—22no—
513C2×C42—21no—
514C2×C42—21no—
515C2×C42C22×D6111yescharacteristic
516#107—1221no—
517#107—1221no—
518#107—1221no—
519#107—1221no—
520#106—1221no—
521#106—1221no—
522#106—1222no—
523C4⋊C8—611no—
524C4⋊C8—611no—
525C4⋊C8—611no—
526C4⋊C8—611no—
527C4⋊C8—1221no—
528#103—1221no—
529#103—1221no—
530#103—1221no—
531#103—1221no—
532#103—1222no—
533#103—1221no—
534#103—1221no—
535#102—1221no—
536#102—1221no—
537#102—1222no—
538C22⋊C8—1221no—
539C4×C8—611no—
540C4×C8—611no—
541C4×C8—1221no—
542C4×C8—1221no—
543#41—22no—
544#41—22no—
545#41—42no—
546#41—42no—
547#41—42no—
548#41—42no—
549C2×Q8—21no—
550C2×Q8—21no—
551C2×Q8—22no—
552C2×Q8—41no—
553C2×Q8—1221no—
554C2×Q8—1221no—
555C2×Q8C2×C22⋊D6111yescharacteristic
556C2×Q8C2×C22⋊D6111yescharacteristic
557C2×Q8C2×C22⋊D6111yescharacteristic
558C2×D4—22no—
559C2×D4—21no—
560C2×D4—22no—
561C2×D4—22no—
562C2×D4—21no—
563C2×D4—21no—
564C2×D4C2×C22⋊D6111yescharacteristic
565C2×D4C2×C22⋊D6112yes—
566C22×C4—22no—
567C22×C4—21no—
568C22×C4—22no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—22no—
573C22×C4—21no—
574C22×C4C2×C22⋊D6111yescharacteristic
575C22×C4C2×C22⋊D6111yescharacteristic
576C22×C4C2×C22⋊D6111yescharacteristic
577Q16—2442no—
578Q16—2442no—
579SD16—2444no—
580C2×C8—1221no—
581C2×C8—1221no—
582C2×C8—1221no—
583C2×C8—1221no—
584C2×C8—1221no—
585C2×C8—1221no—
586C2×C8—2442no—
587C2×C8—2442no—
588C4⋊C4—22no—
589C4⋊C4—22no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—1221no—
601C4⋊C4—1221no—
602C4⋊C4—1221no—
603C4⋊C4—1221no—
604C4⋊C4—2441no—
605C4⋊C4—2441no—
606C4⋊C4C2×C22⋊D6112yes—
607C4⋊C4C2×C22⋊D6111yescharacteristic
608C4⋊C4C2×C22⋊D6111yescharacteristic
609C4⋊C4C2×C22⋊D6111yescharacteristic
610C4⋊C4C2×C22⋊D6111yescharacteristic
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—22no—
620C22⋊C4—21no—
621C22⋊C4—22no—
622C22⋊C4—2441no—
623C42—22no—
624C42—22no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42—21no—
629C42—21no—
630C42—21no—
631C42—21no—
632C42—2441no—
633C42C2×C22⋊D6111yescharacteristic
634C42C2×C22⋊D6111yescharacteristic
635C42C2×C22⋊D6111yescharacteristic
636C42C23×D6111yescharacteristic
637C23—22no—
638C23—21no—
639C23#1451974611yescharacteristic
640Q8—21no—
641Q8—21no—
642Q8—21no—
643Q8—21no—
644Q8—21no—
645Q8—42no—
646Q8—41no—
647Q8—41no—
648Q8—2442no—
649Q8—2441no—
650Q8—2441no—
651Q8#1451979712yes—
652D4—21no—
653D4—21no—
654D4—42no—
655D4—44no—
656D4—42no—
657D4—44no—
658D4—41no—
659D4—41no—
660D4—41no—
661D4—41no—
662D4—82no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—41no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—42no—
679C2×C4—44no—
680C2×C4—81no—
681C2×C4—81no—
682C2×C4—82no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4#1451974611yescharacteristic
686C2×C4#1451974611yescharacteristic
687C2×C4#1451974611yescharacteristic
688C2×C4#1451979712yes—
689C2×C4#1451980712yes—
690C2×C4C22×C22⋊D6111yescharacteristic
691C2×C4C22×C22⋊D6111yescharacteristic
692C2×C4C22×C22⋊D6111yescharacteristic
693C8—1222no—
694C8—2441no—
695C8—2441no—
696C8—2441no—
697C8—2441no—
698C8—2441no—
699C22—21no—
700C22—21no—
701C22—42no—
702C22—41no—
703C22—41no—
704C22—42no—
705C22—42no—
706C22—41no—
707C22#1683992412yes—
708C22C2×#1451974611yescharacteristic
709C4—21no—
710C4—21no—
711C4—21no—
712C4—22no—
713C4—41no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—42no—
718C4—41no—
719C4—41no—
720C4—4881no—
721C4—4881no—
722C4#1683992412yes—
723C4C2×#1451979711yescharacteristic
724C4C2×#1451979711yescharacteristic
725C4C2×#1451980711yescharacteristic
726C4#1684056011yescharacteristic
727C2—22no—
728C2—82no—
729C2—81no—
730C2C2×#1683992411yescharacteristic
731C2#2145503711yescharacteristic
732C2#2145516811yescharacteristic
subgroupG/H
centerC2×C4#14519746
commutator, cosocleC42×C61C24
FrattiniC42C23×D61
Fitting, prime radicalC61×#3480C2
socleC22×C61C2×#120
hypercenter#3480D61
hypocenterC61#18521
LCSG ▷ C42×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3480

Complements

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

NH ≅ G/Ntype
1. #21456374C2semidirect
2. #21455858C2semidirect
3. #21455607C2semidirect
4. #21445096C2semidirect
5. #21445089C2semidirect
6. #21445012C2semidirect
7. #21445005C2semidirect
8. #21444991C2semidirect
9. #21444977C2semidirect
10. #21444946C2semidirect
11. #21444940C2semidirect
12. #21444468C2semidirect
13. #21444201C2semidirect
14. C2×Q8⋊#92418C2semidirect
437. C61#18521semidirect

Maximal subgroups

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

subgroupindex
#214563742
#214558582
#214556072
#214450962
#214450892
#214450122
#214450052
#214449912
#214449772
#214449462
#214449402
#214444682
#214442012
C2×Q8⋊#924182
C61×#34802
#1852161