Finite Group Databasebeta

← #29779606

Subgroups — #29779606

Order 15616.

962 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21451644C211yesmaximal, characteristic, complemented
2#21448401C211yesmaximal, characteristic
3#21447235C211yesmaximal, characteristic, complemented
4#21447235C211yesmaximal, characteristic, complemented
5#21446953C211yesmaximal, characteristic, complemented
6#21446953C211yesmaximal, characteristic, complemented
7#21446518C211yesmaximal, characteristic, complemented
8#21446513C211yesmaximal, characteristic, complemented
9#21446504C211yesmaximal, characteristic, complemented
10#21446499C211yesmaximal, characteristic, complemented
11#21445915C211yesmaximal, characteristic, complemented
12#21445911C211yesmaximal, characteristic, complemented
13#21445750C211yesmaximal, characteristic
14#21445587C211yesmaximal, characteristic, complemented
15C61×#1786C211yesmaximal, characteristic
16C2×#14519776C2211yescharacteristic, complemented
17C2×#14519736C2211yescharacteristic
18C2×#14519736C2211yescharacteristic
19C2×#14519698C2211yescharacteristic
20C2×#14519698C2211yescharacteristic
21C2×#14519698C2211yescharacteristic
22C2×#14519698C2211yescharacteristic
23C2×C22⋊#92418C2211yescharacteristic
24C2×#14519687C2211yescharacteristic, complemented
25C2×C8×Dic61C2211yescharacteristic, complemented
26#16839704—21no—
27#16839698—21no—
28#16839683—21no—
29#16839674—21no—
30#16839665—21no—
31#16839665—21no—
32#16839665C2211yescharacteristic
33#16839665C2211yescharacteristic
34#16839665C2211yescharacteristic
35#16839665C2211yescharacteristic
36#16839661C2211yescharacteristic, complemented
37#16839658C2211yescharacteristic, complemented
38#16839627C2211yescharacteristic, complemented
39#16839622C2211yescharacteristic
40#16839618—21no—
41#16839618—21no—
42#16839525C2211yescharacteristic, complemented
43#16839525C2211yescharacteristic, complemented
44#16839525C2211yescharacteristic, complemented
45#16839525C2211yescharacteristic, complemented
46#16839524C2211yescharacteristic, complemented
47#16839524C2211yescharacteristic, complemented
48#16839524C2211yescharacteristic, complemented
49#16839524C2211yescharacteristic, complemented
50#16839516C2211yescharacteristic, complemented
51#16839516C2211yescharacteristic, complemented
52C23×D4×C61C2211yescharacteristic
53C2×#102×C61C2211yescharacteristic
54C2×#102×C61C2211yescharacteristic
55C2×#102×C61C2211yescharacteristic
56C2×#102×C61C2211yescharacteristic
57C2×C22⋊C8×C61C2211yescharacteristic
58C61×#380C2211yescharacteristic
59C22×Dic122—21no—
60C22×#92418C2311yescharacteristic
61C22×#92418C2311yescharacteristic
62#14519776—41no—
63#14519776—41no—
64#14519736—22no—
65#14519736—22no—
66#14519736—41no—
67#14519736—41no—
68C2×C4⋊Dic61—21no—
69C2×C4⋊Dic61D411yescharacteristic
70C2×C4⋊Dic61D411yescharacteristic
71C2×C4⋊Dic61C2311yescharacteristic
72C2×C4⋊Dic61C2311yescharacteristic
73C2×C4⋊Dic61C2311yescharacteristic
74C2×C4⋊Dic61C2311yescharacteristic
75C2×#11758196—21no—
76C2×#11758196—21no—
77C2×C22⋊Dic61—21no—
78C2×C22⋊Dic61—21no—
79C2×C22⋊Dic61—21no—
80C2×C22⋊Dic61—21no—
81C2×C22⋊Dic61—21no—
82C2×C22⋊Dic61—21no—
83C2×C22⋊Dic61—21no—
84C2×C22⋊Dic61—21no—
85C2×C22⋊Dic61—21no—
86C2×C22⋊Dic61—21no—
87C2×C22⋊Dic61D411yescharacteristic
88C2×C22⋊Dic61D411yescharacteristic
89C2×C4×Dic61—21no—
90C2×C4×Dic61C2311yescharacteristic
91C2×C4×Dic61C2311yescharacteristic
92#14519698—22no—
93#14519698—22no—
94#14519698—41no—
95#14519698—41no—
96C22⋊#92418—22no—
97#14519687—41no—
98C8×Dic61—41no—
99#14519684—21no—
100#14519684—21no—
101#14519684—21no—
102#14519684—21no—
103#14519684—21no—
104C25×C61—21no—
105C22×D4×C61—22no—
106C22×D4×C61—22no—
107C22×D4×C61—21no—
108C22×D4×C61—22no—
109C22×D4×C61—22no—
110C22×D4×C61—41no—
111C22×D4×C61—41no—
112C22×D4×C61C2311yescharacteristic
113C22×D4×C61C2311yescharacteristic
114C23×C4×C61C2311yescharacteristic
115C22×C8×C61C2311yescharacteristic
116C22×C8×C61C2311yescharacteristic
117C2×C4⋊C4×C61C2311yescharacteristic
118C2×C4⋊C4×C61C2311yescharacteristic
119C2×C22⋊C4×C61—21no—
120#102×C61—22no—
121#102×C61—22no—
122#102×C61—41no—
123#102×C61—41no—
124C22⋊C8×C61—22no—
125#95×C61—21no—
126C24×C61—24no—
127C24×C61—21no—
128C24×C61—21no—
129C24×C61—42no—
130C24×C61—42no—
131C24×C61—81no—
132C24×C61—81no—
133C24×C61—81no—
134C24×C61—81no—
135C24×C61C2×D411yescharacteristic
136C2×D4×C61—24no—
137C2×D4×C61—21no—
138C2×D4×C61—21no—
139C2×D4×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—44no—
148C2×D4×C61—44no—
149C2×D4×C61—44no—
150C2×D4×C61—44no—
151C2×D4×C61—42no—
152C2×D4×C61—42no—
153C2×D4×C61#4112yes—
154C2×D4×C61#4112yes—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61—21no—
160C22×C4×C61—21no—
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61#4112yes—
163C22×C4×C61#4112yes—
164C22×C4×C61C2411yescharacteristic
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61C2×D411yescharacteristic
170C22×Dic61C2×D411yescharacteristic
171C22×Dic61C2×D411yescharacteristic
172C22×Dic61C2×D411yescharacteristic
173C2×Dic122—42no—
174C2×Dic122—81no—
175C2×Dic122—81no—
176C2×C8×C61—21no—
177C2×C8×C61—21no—
178C2×C8×C61—21no—
179C2×C8×C61—21no—
180C2×C8×C61—21no—
181C2×C8×C61—21no—
182C4⋊C4×C61—21no—
183C4⋊C4×C61—21no—
184C4⋊C4×C61—21no—
185C4⋊C4×C61—21no—
186C22⋊C4×C61—81no—
187C22⋊Dic61—41no—
188C22⋊Dic61—41no—
189C22⋊Dic61—42no—
190C22⋊Dic61—81no—
191C22⋊Dic61—81no—
192C22⋊Dic61—81no—
193C22⋊Dic61—81no—
194C22⋊Dic61—81no—
195C22⋊Dic61—81no—
196C22⋊Dic61—81no—
197C22⋊Dic61—81no—
198C22⋊Dic61—81no—
199C4⋊Dic61—21no—
200C4⋊Dic61—21no—
201C4⋊Dic61—21no—
202C4⋊Dic61—21no—
203C4⋊Dic61—21no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—41no—
208C4⋊Dic61—41no—
209C4⋊Dic61—81no—
210#11758196—42no—
211#11758196—81no—
212C4×Dic61—21no—
213C4×Dic61—21no—
214C4×Dic61—21no—
215C4×Dic61—21no—
216C4×Dic61—42no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C23×C61—21no—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—22no—
230C23×C61—22no—
231C23×C61—48no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—84no—
245C23×C61—84no—
246C23×C61—84no—
247C23×C61—84no—
248C23×C61—84no—
249C23×C61—84no—
250C23×C61#12412yes—
251C23×C61C22×D411yescharacteristic
252D4×C61—22no—
253D4×C61—22no—
254D4×C61—22no—
255D4×C61—22no—
256D4×C61—48no—
257D4×C61—41no—
258D4×C61—41no—
259D4×C61—41no—
260D4×C61—41no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61#12412yes—
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×C4×C61C2×#4111yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61H(5,𝔽2)11yescharacteristic
279C2×C4×C61H(5,𝔽2)11yescharacteristic
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304Dic122—84no—
305C8×C61—41no—
306C8×C61—41no—
307#92418—41no—
308#92418—41no—
309#29116—611nomaximal, Sylow
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—41no—
314C22×C61—41no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61—816no—
324C22×C61—81no—
325C22×C61—81no—
326C22×C61—81no—
327C22×C61—81no—
328C22×C61—81no—
329C22×C61—81no—
330C22×C61—81no—
331C22×C61—81no—
332C22×C61#52511yescharacteristic
333C22×C61C2×#12411yescharacteristic
334C22×C61#53411yescharacteristic
335C22×C61#57611yescharacteristic
336C22×C61#57611yescharacteristic
337C22×C61#57711yescharacteristic
338C22×C61#57711yescharacteristic
339C4×C61—22no—
340C4×C61—81no—
341C4×C61—81no—
342C4×C61#55111yescharacteristic
343C4×C61#55111yescharacteristic
344C4×C61#55111yescharacteristic
345C4×C61#55111yescharacteristic
346Dic61—41no—
347Dic61—41no—
348Dic61—41no—
349Dic61—41no—
350Dic61—81no—
351Dic61—81no—
352Dic61—81no—
353Dic61—81no—
354#2628—611no—
355#2309—611no—
356#2073—611no—
357#2073—611no—
358#2023—611no—
359#2023—611no—
360#1936—611no—
361#1936—611no—
362#1934—611no—
363#1934—611no—
364#1825—611no—
365#1825—611no—
366#1786—611no—
367#1786D6111yescharacteristic
368#1750—611no—
369C2×C61—42no—
370C2×C61—82no—
371C2×C61—82no—
372C2×C61#256111yescharacteristic
373C2×C61#311811yescharacteristic
374C2×C61#311811yescharacteristic
375C2×C61#313611yescharacteristic
376C2×C61#313611yescharacteristic
377C2×C61#319911yescharacteristic
378C2×C61#320011yescharacteristic
379C23×D4C2×D6111yescharacteristic
380C2×C4⋊Q8—611no—
381C2×#117—611no—
382C2×#117—611no—
383C2×#102—611no—
384C2×#102—611no—
385C2×#102—611no—
386C2×#102—611no—
387C2×#102C2×D6111yescharacteristic
388C2×#102C2×D6111yescharacteristic
389C2×#102C2×D6111yescharacteristic
390C2×#102C2×D6111yescharacteristic
391C2×C22⋊C8—611no—
392C2×C22⋊C8C2×D6111yescharacteristic
393C2×#97—611no—
394C2×C4×C8—611no—
395#400—1221no—
396#399—1221no—
397#395—1221no—
398#393—1221no—
399#390—611no—
400#390—611no—
401#390—611no—
402#390—611no—
403#390—1221no—
404#390—1221no—
405#389—611no—
406#389—611no—
407#382—611no—
408#380—611no—
409#380C2×D6111yescharacteristic
410#379—1221no—
411#379—1221no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340—611no—
417#340—611no—
418#340—611no—
419#340—611no—
420#336—611no—
421#336—611no—
422C61#2911611yescharacteristic, complemented, Sylow
423C25—21no—
424C22×Q8—1221no—
425C22×D4—22no—
426C22×D4—22no—
427C22×D4—22no—
428C22×D4—21no—
429C22×D4—22no—
430C22×D4—41no—
431C22×D4—41no—
432C22×D4C22×D6111yescharacteristic
433C22×D4C22×D6111yescharacteristic
434C23×C4C22×D6111yescharacteristic
435C22×C8—611no—
436C22×C8—611no—
437C22×C8C22×D6111yescharacteristic
438C22×C8C22×D6111yescharacteristic
439C4⋊Q8—2441no—
440C4⋊Q8—2441no—
441#117—1222no—
442#117—1222no—
443#117—2441no—
444#117—2441no—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—611no—
448C2×C4⋊C4—611no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—1221no—
452C2×C4⋊C4—1221no—
453C2×C4⋊C4—1221no—
454C2×C4⋊C4C22×D6111yescharacteristic
455C2×C4⋊C4C22×D6111yescharacteristic
456C2×C22⋊C4—21no—
457C2×C22⋊C4—611no—
458C2×C22⋊C4—611no—
459C2×C22⋊C4—1221no—
460C2×C22⋊C4—1221no—
461C2×C22⋊C4—1221no—
462C2×C22⋊C4—1221no—
463C2×C22⋊C4—1221no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C42—611no—
470C2×C42—611no—
471C2×C42—1221no—
472#102—22no—
473#102—22no—
474#102—41no—
475#102—41no—
476#102—1222no—
477#102—1222no—
478#102—2441no—
479#102—2441no—
480C22⋊C8—22no—
481C22⋊C8—1222no—
482#97—2441no—
483C4×C8—2441no—
484#95—21no—
485#95—1221no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489#95—1221no—
490C24—24no—
491C24—21no—
492C24—21no—
493C24—42no—
494C24—42no—
495C24—81no—
496C24—81no—
497C24—81no—
498C24—81no—
499C24D4×D6111yescharacteristic
500C2×Q8—4881no—
501C2×Q8—4881no—
502C2×Q8—2442no—
503C2×D4—24no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—44no—
515C2×D4—44no—
516C2×D4—44no—
517C2×D4—44no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4#1175822412yes—
521C2×D4#1175822412yes—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—611no—
529C22×C4—611no—
530C22×C4—611no—
531C22×C4—611no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4#1175822212yes—
537C22×C4D4×D6111yescharacteristic
538C22×C4#1175822412yes—
539C22×C4C23×D6111yescharacteristic
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—1221no—
557C4⋊C4—1221no—
558C4⋊C4—1221no—
559C4⋊C4—1221no—
560C4⋊C4—1221no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—1221no—
564C4⋊C4—4881no—
565C4⋊C4—4881no—
566C4⋊C4—2441no—
567C4⋊C4—2441no—
568C4⋊C4—2442no—
569C22⋊C4—81no—
570C22⋊C4—4881no—
571C22⋊C4—4881no—
572C22⋊C4—4881no—
573C22⋊C4—4881no—
574C22⋊C4—4881no—
575C22⋊C4—4881no—
576C22⋊C4—4881no—
577C22⋊C4—4881no—
578C22⋊C4—4881no—
579C22⋊C4—2441no—
580C22⋊C4—2441no—
581C22⋊C4—2442no—
582C42—1221no—
583C42—1221no—
584C42—1221no—
585C42—1221no—
586C42—2442no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—22no—
594C23—22no—
595C23—48no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—84no—
609C23—84no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23#1451976312yes—
615C23C2×D4×D6111yescharacteristic
616Q8—4884no—
617D4—22no—
618D4—22no—
619D4—22no—
620D4—22no—
621D4—48no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—41no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—1221no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1221no—
649C2×C4—1221no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4#1451976312yes—
663C2×C4C2×#1175822411yescharacteristic
664C2×C4C2×#1175822411yescharacteristic
665C2×C4C2×#1175822411yescharacteristic
666C2×C4C2×#1175822211yescharacteristic
667C2×C4#1451982211yescharacteristic
668C2×C4#1451982211yescharacteristic
669C8—41no—
670C8—41no—
671C8—2441no—
672C8—2441no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—816no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22#1684026811yescharacteristic
696C22C2×#1451976311yescharacteristic
697C22#1684032211yescharacteristic
698C22#1684056311yescharacteristic
699C22#1684056611yescharacteristic
700C22#1684056811yescharacteristic
701C22#1684057211yescharacteristic
702C4—22no—
703C4—81no—
704C4—81no—
705C4—4881no—
706C4—4881no—
707C4—4881no—
708C4—4881no—
709C4—2441no—
710C4—2441no—
711C4—2441no—
712C4—2441no—
713C4#1684043811yescharacteristic
714C4#1684043811yescharacteristic
715C4#1684044311yescharacteristic
716C4#1684044311yescharacteristic
717C2—42no—
718C2—82no—
719C2—82no—
720C2#2145097411yescharacteristic
721C2#2145599611yescharacteristic
722C2#2145600411yescharacteristic
723C2#2145616911yescharacteristic
724C2#2145617111yescharacteristic
725C2#2145668211yescharacteristic
726C2#2145668811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1786C2
socleC23×C61C22×D4
prime radicalC23×D4×C61C22
hypercenter#1786D61
hypocenterC61#29116
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1786

Complements

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

NH ≅ G/Ntype
1. #21451644C2semidirect
3. #21447235C2semidirect
4. #21447235C2semidirect
5. #21446953C2semidirect
6. #21446953C2semidirect
7. #21446518C2semidirect
8. #21446513C2semidirect
9. #21446504C2semidirect
10. #21446499C2semidirect
11. #21445915C2semidirect
12. #21445911C2semidirect
14. #21445587C2semidirect
16. C2×#14519776C22semidirect
24. C2×#14519687C22semidirect
25. C2×C8×Dic61C22semidirect
36. #16839661C22semidirect
37. #16839658C22semidirect
38. #16839627C22semidirect
42. #16839525C22semidirect
43. #16839525C22semidirect
44. #16839525C22semidirect
45. #16839525C22semidirect
46. #16839524C22semidirect
47. #16839524C22semidirect
48. #16839524C22semidirect
49. #16839524C22semidirect
50. #16839516C22semidirect
51. #16839516C22semidirect
422. C61#29116semidirect

Maximal subgroups

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

subgroupindex
#214516442
#214484012
#214472352
#214469532
#214465182
#214465132
#214465042
#214464992
#214459152
#214459112
#214457502
#214455872
C61×#17862
#2911661