Finite Group Databasebeta

← #29655856

Subgroups — #29655856

Order 15616.

922 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#21456329C211yesmaximal, characteristic, complemented
2#21455890C211yesmaximal, characteristic, complemented
3#21455890C211yesmaximal, characteristic, complemented
4#21445103C211yesmaximal, characteristic, complemented
5#21445096C211yesmaximal, characteristic, complemented
6#21445089C211yesmaximal, characteristic, complemented
7#21445082C211yesmaximal, characteristic, complemented
8#21445075C211yesmaximal, characteristic, complemented
9#21445068C211yesmaximal, characteristic, complemented
10#21445061C211yesmaximal, characteristic, complemented
11#21445054C211yesmaximal, characteristic, complemented
12#21444484C211yesmaximal, characteristic, complemented
13#21444201C211yesmaximal, characteristic, complemented
14#21444201C211yesmaximal, characteristic, complemented
15C61×#3482C211yesmaximal, characteristic
16#16840319C2211yescharacteristic
17#16840165C2211yescharacteristic
18#16840165C2211yescharacteristic
19#16840161—22no—
20#16840158C2211yescharacteristic
21#16840158C2211yescharacteristic
22#16840103—21no—
23#16840103—21no—
24#16840047C2211yescharacteristic
25#16840047C2211yescharacteristic
26#16840042C2211yescharacteristic
27#16840042C2211yescharacteristic
28#16839972C2211yescharacteristic
29#16839972C2211yescharacteristic
30#16839967C2211yescharacteristic
31#16839967C2211yescharacteristic
32#16839924—21no—
33#16839924—21no—
34C4×#11758202—21no—
35C4×#11758202—21no—
36C4×#11758200—21no—
37C4×#11758200—21no—
38#16839815C2211yescharacteristic
39#16839815C2211yescharacteristic
40#16839798—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×#11758202—21no—
72C2×#11758202—21no—
73C2×#11758200—21no—
74C2×#11758200—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—22no—
87#14519710—22no—
88#14519708—21no—
89#14519708—21no—
90#14519708—22no—
91#14519708—22no—
92C4⋊#92418C2311yescharacteristic
93C4⋊#92418C2311yescharacteristic
94C4⋊#92418C2311yescharacteristic
95C4⋊#92418C2311yescharacteristic
96#14519701—21no—
97#14519701—21no—
98#14519700—21no—
99#14519700—21no—
100#14519700—21no—
101#14519700—21no—
102#14519698—21no—
103#14519698—21no—
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×Dic122—21no—
206C2×Dic122—21no—
207C4⋊C4×C61—22no—
208C4⋊C4×C61—22no—
209C4⋊C4×C61—22no—
210C4⋊C4×C61—22no—
211C4⋊C4×C61—22no—
212C4⋊C4×C61—22no—
213C4⋊C4×C61—21no—
214C4⋊C4×C61—22no—
215C4⋊C4×C61—22no—
216C4⋊C4×C61—21no—
217C4⋊C4×C61—21no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61C2×D411yescharacteristic
222C4⋊C4×C61C2×D411yescharacteristic
223C4⋊C4×C61C2×D411yescharacteristic
224C4⋊C4×C61C2×D411yescharacteristic
225C4⋊C4×C61C2×D412yes—
226C4⋊C4×C61C2×D412yes—
227C22⋊C4×C61—22no—
228C22⋊C4×C61—22no—
229C22⋊C4×C61—22no—
230C22⋊C4×C61—22no—
231C22⋊C4×C61—21no—
232C22⋊C4×C61—21no—
233C22⋊C4×C61—22no—
234C22⋊C4×C61—21no—
235C22⋊C4×C61—21no—
236C22⋊C4×C61—21no—
237C22⋊C4×C61—21no—
238C42×C61—22no—
239C42×C61—22no—
240C42×C61—21no—
241C42×C61—21no—
242C42×C61—21no—
243C42×C61—22no—
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—42no—
255#11758200—42no—
256C4⋊Dic61—21no—
257C4⋊Dic61—21no—
258C4⋊Dic61—21no—
259C4⋊Dic61—21no—
260#11758196—41no—
261#11758196—41no—
262C4×Dic61—41no—
263C2×#92418—24no—
264C2×#92418—21no—
265C2×#92418—21no—
266C2×#92418—21no—
267C2×#92418—21no—
268C2×#92418—21no—
269C2×#92418—21no—
270C23×C61—21no—
271C23×C61—21no—
272C23×C61#12011yescharacteristic
273Q8×C61—21no—
274Q8×C61—21no—
275Q8×C61—21no—
276Q8×C61—44no—
277Q8×C61—41no—
278Q8×C61—41no—
279Q8×C61—41no—
280Q8×C61—41no—
281Q8×C61#13512yes—
282D4×C61—21no—
283D4×C61—21no—
284D4×C61—21no—
285D4×C61—42no—
286D4×C61—42no—
287D4×C61—44no—
288D4×C61#13512yes—
289C2×C4×C61—21no—
290C2×C4×C61—21no—
291C2×C4×C61—21no—
292C2×C4×C61—21no—
293C2×C4×C61—21no—
294C2×C4×C61—22no—
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—21no—
298C2×C4×C61—22no—
299C2×C4×C61—21no—
300C2×C4×C61—21no—
301C2×C4×C61—22no—
302C2×C4×C61—42no—
303C2×C4×C61—42no—
304C2×C4×C61—44no—
305C2×C4×C61—44no—
306C2×C4×C61—41no—
307C2×C4×C61—41no—
308C2×C4×C61—41no—
309C2×C4×C61—41no—
310C2×C4×C61—42no—
311C2×C4×C61—42no—
312C2×C4×C61#12011yescharacteristic
313C2×C4×C61#12011yescharacteristic
314C2×C4×C61#12011yescharacteristic
315C2×C4×C61C22×D411yescharacteristic
316C2×C4×C61C22×D411yescharacteristic
317C2×C4×C61C22×D411yescharacteristic
318C2×Dic61—41no—
319C2×Dic61—41no—
320Dic122—41no—
321Dic122—41no—
322Dic122—41no—
323Dic122—41no—
324#92418—22no—
325#92418—22no—
326#92418—41no—
327#92418—41no—
328#92418—41no—
329#92418—41no—
330#18503—611nomaximal, Sylow
331C22×C61—21no—
332C22×C61—21no—
333C22×C61—22no—
334C22×C61—21no—
335C22×C61—41no—
336C22×C61—41no—
337C22×C61—41no—
338C22×C61—41no—
339C22×C61—41no—
340C22×C61C2×#12011yescharacteristic
341C4×C61—21no—
342C4×C61—21no—
343C4×C61—22no—
344C4×C61—21no—
345C4×C61—41no—
346C4×C61—41no—
347C4×C61—42no—
348C4×C61—42no—
349C4×C61—41no—
350C4×C61—41no—
351C4×C61—41no—
352C4×C61#45612yes—
353C4×C61C2×#13511yescharacteristic
354C4×C61C2×#13511yescharacteristic
355C4×C61#57511yescharacteristic
356C4×C61#57511yescharacteristic
357Dic61—81no—
358Dic61—81no—
359#3482D6111yescharacteristic
360#3160—611no—
361#3107—611no—
362#3107—611no—
363#1654—611no—
364#1653—611no—
365#1652—611no—
366#1651—611no—
367#1650—611no—
368#1649—611no—
369#1648—611no—
370#1647—611no—
371#1544—611no—
372#1476—611no—
373#1476—611no—
374C2×C61—41no—
375C2×C61—42no—
376C2×C61—81no—
377C2×C61#300211yescharacteristic
378C2×C61#300211yescharacteristic
379C2×C61C2×#45611yescharacteristic
380#557C2×D6111yescharacteristic
381#556—21no—
382#556C2×D6111yescharacteristic
383#552—22no—
384#552—21no—
385D4×Q8C2×D6111yescharacteristic
386#548—21no—
387#547—21no—
388#547C2×D6111yescharacteristic
389#533—21no—
390#533—611no—
391#533C2×D6111yescharacteristic
392#529—21no—
393#529—22no—
394C4×#41—21no—
395C4×#41C2×D6111yescharacteristic
396C4×#41C2×D6111yescharacteristic
397C2×C4×Q8—21no—
398#500—611no—
399#500—611no—
400#499—1222no—
401#498—611no—
402#498—611no—
403#485—1221no—
404#485—1221no—
405#475—611no—
406#475—611no—
407#474—611no—
408#474—611no—
409#462—611no—
410#462—611no—
411#461—611no—
412#461—611no—
413#452—1221no—
414#452—1221no—
415C4×Q16—1221no—
416C4×Q16—1221no—
417C4×SD16—1221no—
418C4×SD16—1221no—
419#431—611no—
420#431—611no—
421#427—1222no—
422C2×C4×C8—611no—
423#332—611no—
424#332—611no—
425#332—611no—
426#332—611no—
427Q8⋊C8—611no—
428Q8⋊C8—611no—
429Q8⋊C8—611no—
430Q8⋊C8—611no—
431D4⋊C8—611no—
432D4⋊C8—611no—
433D4⋊C8—611no—
434D4⋊C8—611no—
435C61#1850311yescharacteristic, complemented, Sylow
436C2×#41—21no—
437C2×#41C22⋊D6111yescharacteristic
438C2×#41C22⋊D6111yescharacteristic
439C22×Q8—21no—
440C2×Q16—1221no—
441C2×Q16—1221no—
442C2×SD16—1221no—
443C2×SD16—1221no—
444C22×C8—1221no—
445C4⋊Q8—21no—
446C4⋊Q8—21no—
447C4⋊Q8—611no—
448C4⋊Q8—611no—
449C4⋊Q8C22×D6111yescharacteristic
450C4⋊Q8C22×D6111yescharacteristic
451#126—22no—
452#126—22no—
453#126—22no—
454#125—22no—
455#125—22no—
456#125—21no—
457#125—1221no—
458#125C22⋊D6112yes—
459#124—22no—
460#124—21no—
461#123—22no—
462#123—22no—
463#123—22no—
464C22⋊Q8—22no—
465C22⋊Q8—21no—
466C22⋊Q8—21no—
467C22⋊Q8—21no—
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—21no—
471C22⋊Q8—1221no—
472C22⋊Q8—1221no—
473#121—22no—
474#121—21no—
475C4×Q8—22no—
476C4×Q8—22no—
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×D4—22no—
489C4×D4—22no—
490C4×D4—21no—
491C4×D4—21no—
492C4×D4—21no—
493C4×D4—21no—
494C4×D4—21no—
495C4×D4C22⋊D6111yescharacteristic
496C4×D4C22⋊D6111yescharacteristic
497C4×D4C22×D6111yescharacteristic
498C4×D4C22×D6111yescharacteristic
499#117—22no—
500#117—22no—
501#117—21no—
502#117—21no—
503#117—21no—
504#117—1221no—
505#117C22⋊D6111yescharacteristic
506#117C22⋊D6111yescharacteristic
507#117C22⋊D6112yes—
508C2×C4⋊C4—22no—
509C2×C4⋊C4—21no—
510C2×C42—22no—
511C2×C42—21no—
512C2×C42—21no—
513C2×C42C22×D6111yescharacteristic
514#107—1222no—
515#107—1222no—
516#107—1221no—
517#107—1221no—
518#106—1222no—
519#106—1222no—
520#106—1221no—
521#106—1221no—
522C4⋊C8—611no—
523C4⋊C8—611no—
524C4⋊C8—611no—
525C4⋊C8—611no—
526#103—1221no—
527#103—1221no—
528#103—1221no—
529#103—1221no—
530#103—1221no—
531#103—1221no—
532#102—1221no—
533#102—1221no—
534C22⋊C8—1221no—
535C22⋊C8—1221no—
536C4×C8—611no—
537C4×C8—611no—
538C4×C8—1221no—
539C4×C8—1221no—
540C4×C8—1221no—
541#41—22no—
542#41—22no—
543#41—41no—
544#41—41no—
545#41—42no—
546#41—42no—
547C2×Q8—22no—
548C2×Q8—21no—
549C2×Q8—21no—
550C2×Q8—42no—
551C2×Q8—42no—
552C2×Q8—1221no—
553C2×Q8—1221no—
554C2×Q8C2×C22⋊D6111yescharacteristic
555C2×Q8C2×C22⋊D6111yescharacteristic
556C2×D4—22no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4C2×C22⋊D6111yescharacteristic
560C2×D4C2×C22⋊D6111yescharacteristic
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4C2×C22⋊D6111yescharacteristic
570C22×C4C2×C22⋊D6111yescharacteristic
571C22×C4C2×C22⋊D6111yescharacteristic
572Q16—2442no—
573Q16—2442no—
574SD16—2442no—
575SD16—2442no—
576C2×C8—1224no—
577C2×C8—1221no—
578C2×C8—1221no—
579C2×C8—1221no—
580C2×C8—1221no—
581C2×C8—1221no—
582C2×C8—1221no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—22no—
586C4⋊C4—22no—
587C4⋊C4—22no—
588C4⋊C4—22no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—21no—
597C4⋊C4—1221no—
598C4⋊C4—1221no—
599C4⋊C4—1221no—
600C4⋊C4—1221no—
601C4⋊C4—2441no—
602C4⋊C4—2441no—
603C4⋊C4C2×C22⋊D6111yescharacteristic
604C4⋊C4C2×C22⋊D6111yescharacteristic
605C4⋊C4C2×C22⋊D6111yescharacteristic
606C4⋊C4C2×C22⋊D6111yescharacteristic
607C4⋊C4C2×C22⋊D6112yes—
608C4⋊C4C2×C22⋊D6112yes—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—22no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—2441no—
621C42—22no—
622C42—22no—
623C42—21no—
624C42—21no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42—21no—
629C42—22no—
630C42—2441no—
631C42C2×C22⋊D6111yescharacteristic
632C42C2×C22⋊D6111yescharacteristic
633C42C2×C22⋊D6111yescharacteristic
634C42C23×D6111yescharacteristic
635C23—21no—
636C23—21no—
637C23#1451974611yescharacteristic
638Q8—21no—
639Q8—21no—
640Q8—21no—
641Q8—44no—
642Q8—41no—
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8—2441no—
647Q8—2441no—
648Q8—2441no—
649Q8—2441no—
650Q8#1451979712yes—
651D4—21no—
652D4—21no—
653D4—21no—
654D4—42no—
655D4—42no—
656D4—44no—
657D4#1451979712yes—
658C2×C4—21no—
659C2×C4—22no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4#1451974611yescharacteristic
684C2×C4#1451974611yescharacteristic
685C2×C4#1451974611yescharacteristic
686C2×C4C22×C22⋊D6111yescharacteristic
687C2×C4C22×C22⋊D6111yescharacteristic
688C2×C4C22×C22⋊D6111yescharacteristic
689C8—1222no—
690C8—1222no—
691C8—2441no—
692C8—2441no—
693C8—2441no—
694C8—2441no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—22no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22C2×#1451974611yescharacteristic
705C4—21no—
706C4—21no—
707C4—21no—
708C4—22no—
709C4—41no—
710C4—41no—
711C4—41no—
712C4—41no—
713C4—42no—
714C4—42no—
715C4—41no—
716C4—4881no—
717C4—4881no—
718C4#1683994512yes—
719C4C2×#1451979711yescharacteristic
720C4C2×#1451979711yescharacteristic
721C4#1684056011yescharacteristic
722C4#1684056011yescharacteristic
723C2—41no—
724C2—42no—
725C2—81no—
726C2#2145503711yescharacteristic
727C2#2145503711yescharacteristic
728C2C2×#1683994511yescharacteristic
subgroupG/H
centerC2×C4#14519746
commutator, cosocleC42×C61C24
FrattiniC42C23×D61
Fitting, prime radicalC61×#3482C2
socleC22×C61C2×#120
hypercenter#3482D61
hypocenterC61#18503
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. #21456329C2semidirect
2. #21455890C2semidirect
3. #21455890C2semidirect
4. #21445103C2semidirect
5. #21445096C2semidirect
6. #21445089C2semidirect
7. #21445082C2semidirect
8. #21445075C2semidirect
9. #21445068C2semidirect
10. #21445061C2semidirect
11. #21445054C2semidirect
12. #21444484C2semidirect
13. #21444201C2semidirect
14. #21444201C2semidirect
435. C61#18503semidirect

Maximal subgroups

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

subgroupindex
#214563292
#214558902
#214451032
#214450962
#214450892
#214450822
#214450752
#214450682
#214450612
#214450542
#214444842
#214442012
C61×#34822
#1850361