Finite Group Databasebeta

← #29724229

Subgroups — #29724229

Order 15616.

904 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21455793C211yesmaximal, characteristic, complemented
2#21454695C211yesmaximal, characteristic, complemented
3#21454345C211yesmaximal, characteristic, complemented
4#21447345C211yesmaximal, characteristic, complemented
5#21447259C211yesmaximal, characteristic, complemented
6#21447108C211yesmaximal, characteristic, complemented
7#21447040C211yesmaximal, characteristic, complemented
8#21446478C211yesmaximal, characteristic, complemented
9#21446464C211yesmaximal, characteristic, complemented
10#21446197C211yesmaximal, characteristic, complemented
11#21446148C211yesmaximal, characteristic, complemented
12#21446043C211yesmaximal, characteristic, complemented
13#21445881C211yesmaximal, characteristic, complemented
14#21445773C211yesmaximal, characteristic, complemented
15C61×#3012C211yesmaximal, characteristic
16C2×#14519784C2211yescharacteristic
17#16840245C2211yescharacteristic
18#16840245C2211yescharacteristic, complemented
19#16840100—21no—
20#16840095—21no—
21#16840083—21no—
22#16840073—21no—
23#16839863—21no—
24#16839863—21no—
25Q16×Dic61—21no—
26D8×Dic61—21no—
27C2×#14519712C2211yescharacteristic, complemented
28#16839802C2211yescharacteristic, complemented
29C2×#14519711C2211yescharacteristic, complemented
30C2×#14519710C2211yescharacteristic, complemented
31C2×#14519704C2211yescharacteristic
32C2×#14519704C2211yescharacteristic
33C2×#14519704C2211yescharacteristic, complemented
34#16839767—21no—
35#16839767C2211yescharacteristic
36#16839763—21no—
37#16839763C2211yescharacteristic
38#16839763C2211yescharacteristic
39#16839763C2211yescharacteristic
40#16839763C2211yescharacteristic, complemented
41#16839758—21no—
42#16839758C2211yescharacteristic
43C2×#14519698—21no—
44C2×#14519698C2211yescharacteristic
45C2×#14519694C2211yescharacteristic
46#16839729C2211yescharacteristic, complemented
47#16839717C2211yescharacteristic, complemented
48#16839665C2211yescharacteristic
49#16839631C2211yescharacteristic, complemented
50#16839531C2211yescharacteristic, complemented
51#16839530C2211yescharacteristic, complemented
52#16839530C2211yescharacteristic, complemented
53#16839527C2211yescharacteristic, complemented
54#16839523C2211yescharacteristic, complemented
55#16839516C2211yescharacteristic, complemented
56C2×H(5,𝔽2)×C61C2211yescharacteristic
57C2×AGL(1,ℤ/8)×C61C2211yescharacteristic
58C2×#135×C61C2211yescharacteristic
59C61×#537C2211yescharacteristic
60C61×#452—21no—
61C61×#450—21no—
62C61×#449—21no—
63C61×#447—21no—
64C61×#417C2211yescharacteristic
65C2×#102×C61C2211yescharacteristic
66C61×#408C2211yescharacteristic
67#14519784—22no—
68#14519784—41no—
69C2×#11758194—21no—
70C2×#11758194C2311yescharacteristic
71C2×#11758194C2311yescharacteristic
72C2×#11758194C2311yescharacteristic
73C22×#92418—21no—
74C22×#92418C2311yescharacteristic
75Q8×Dic61—21no—
76Q8×Dic61—21no—
77D4×Dic61—21no—
78D4×Dic61—21no—
79D4×Dic61—41no—
80D4×Dic61—41no—
81#14519736—21no—
82#14519736—21no—
83#14519736C2311yescharacteristic
84C2×C4⋊Dic61—21no—
85C2×C4⋊Dic61—21no—
86C2×C4⋊Dic61C2311yescharacteristic
87C2×C4⋊Dic61C2311yescharacteristic
88C2×#11758196—41no—
89C2×C22⋊Dic61—41no—
90C2×C4×Dic61C2311yescharacteristic
91#14519712—41no—
92#14519711—21no—
93#14519711—21no—
94#14519710—21no—
95#14519710—21no—
96#14519710—21no—
97#14519708—21no—
98#14519704—22no—
99#14519704—41no—
100#14519704—41no—
101#14519701—21no—
102#14519701—21no—
103#14519701—21no—
104#14519701—21no—
105#14519701D411yescharacteristic
106#14519701D411yescharacteristic
107#14519698—21no—
108#14519698—21no—
109#14519698—21no—
110#14519698—21no—
111#14519698—21no—
112#14519698—21no—
113#14519698—21no—
114#14519698—21no—
115#14519698D411yescharacteristic
116#14519698D411yescharacteristic
117#14519694—22no—
118C22⋊#92418—21no—
119C22⋊#92418—21no—
120#14519687—21no—
121C8×Dic61—21no—
122H(5,𝔽2)×C61—22no—
123H(5,𝔽2)×C61—22no—
124H(5,𝔽2)×C61—22no—
125H(5,𝔽2)×C61—41no—
126C2×#41×C61—21no—
127C2×#41×C61—21no—
128C2×#41×C61C2311yescharacteristic
129C2×#41×C61C2311yescharacteristic
130C2×#41×C61C2311yescharacteristic
131C22×D4×C61—21no—
132C22×D4×C61—21no—
133C22×D4×C61—41no—
134C22×D4×C61C2311yescharacteristic
135AGL(1,ℤ/8)×C61—22no—
136AGL(1,ℤ/8)×C61—41no—
137#135×C61—22no—
138#135×C61—22no—
139C2×Q16×C61D411yescharacteristic
140C2×SD16×C61—21no—
141C2×SD16×C61D411yescharacteristic
142C2×SD16×C61D411yescharacteristic
143C2×D8×C61—21no—
144C2×D8×C61D411yescharacteristic
145C2×M16×C61C2311yescharacteristic
146C22×C8×C61C2311yescharacteristic
147C22⋊Q8×C61—21no—
148C22⋊Q8×C61—21no—
149#121×C61—21no—
150#121×C61—21no—
151#121×C61—41no—
152C2×C4⋊C4×C61C2311yescharacteristic
153#103×C61—21no—
154#102×C61—21no—
155#102×C61—21no—
156#102×C61—21no—
157C22⋊C8×C61—21no—
158C22⋊C8×C61—21no—
159C24×C61—21no—
160C24×C61—41no—
161#41×C61—21no—
162#41×C61—21no—
163#41×C61—24no—
164#41×C61—21no—
165#41×C61—21no—
166#41×C61—21no—
167#41×C61—21no—
168#41×C61—21no—
169#41×C61—21no—
170#41×C61—21no—
171#41×C61—21no—
172#41×C61—42no—
173#41×C61—42no—
174#41×C61—42no—
175#41×C61#4112yes—
176#41×C61#4112yes—
177C2×Q8×C61C2×D411yescharacteristic
178C2×Q8×C61C2×D411yescharacteristic
179C2×Q8×C61C2×D411yescharacteristic
180C2×D4×C61—21no—
181C2×D4×C61—24no—
182C2×D4×C61—21no—
183C2×D4×C61—21no—
184C2×D4×C61—21no—
185C2×D4×C61—21no—
186C2×D4×C61—21no—
187C2×D4×C61—21no—
188C2×D4×C61—21no—
189C2×D4×C61—42no—
190C2×D4×C61—41no—
191C2×D4×C61—41no—
192C2×D4×C61—42no—
193C2×D4×C61—44no—
194C2×D4×C61—44no—
195C2×D4×C61—42no—
196C2×D4×C61—41no—
197C2×D4×C61C2×D411yescharacteristic
198C2×D4×C61C2×D411yescharacteristic
199C2×D4×C61C2×D411yescharacteristic
200C2×D4×C61#4112yes—
201C22×C4×C61—21no—
202C22×C4×C61—21no—
203C22×C4×C61—21no—
204C22×C4×C61—21no—
205C22×C4×C61—41no—
206C22×C4×C61C2411yescharacteristic
207C22×Dic61—21no—
208C22×Dic61—21no—
209C22×Dic61—21no—
210C22×Dic61—41no—
211C22×Dic61—41no—
212Q16×C61—22no—
213SD16×C61—22no—
214SD16×C61—22no—
215SD16×C61—42no—
216D8×C61—22no—
217D8×C61—42no—
218M16×C61—21no—
219M16×C61—21no—
220C2×C8×C61—21no—
221C2×C8×C61—21no—
222C2×C8×C61—21no—
223C2×C8×C61C2×D411yescharacteristic
224C2×C8×C61C2×D411yescharacteristic
225C4⋊C4×C61—21no—
226C4⋊C4×C61—21no—
227C4⋊C4×C61—41no—
228C22⋊C4×C61—41no—
229C22⋊C4×C61—41no—
230C22⋊Dic61—21no—
231C22⋊Dic61—41no—
232C22⋊Dic61—41no—
233C22⋊Dic61—82no—
234C4⋊Dic61—21no—
235C4⋊Dic61—21no—
236C4⋊Dic61—21no—
237C4⋊Dic61—21no—
238C4⋊Dic61—41no—
239C4⋊Dic61—41no—
240C4⋊Dic61C2×D411yescharacteristic
241C4⋊Dic61C2×D411yescharacteristic
242#11758196—82no—
243C4×Dic61—21no—
244C4×Dic61—21no—
245C4×Dic61—21no—
246C4×Dic61—41no—
247C4×Dic61—41no—
248#11758194—21no—
249#11758194—21no—
250#11758194—21no—
251#11758194—21no—
252#11758194—21no—
253#11758194—21no—
254#11758194—42no—
255C2×#92418—21no—
256C2×#92418—21no—
257C2×#92418—21no—
258C2×#92418—21no—
259C2×#92418—21no—
260C2×#92418—42no—
261C2×#92418C2×D411yescharacteristic
262C2×#92418C2×D411yescharacteristic
263C23×C61—21no—
264C23×C61—21no—
265C23×C61—21no—
266C23×C61—22no—
267C23×C61—44no—
268C23×C61—41no—
269C23×C61—41no—
270C23×C61—81no—
271C23×C61—81no—
272C23×C61—161no—
273C23×C61—161no—
274C23×C61H(5,𝔽2)11yescharacteristic
275Q8×C61—21no—
276Q8×C61—21no—
277Q8×C61—21no—
278Q8×C61—21no—
279Q8×C61—21no—
280Q8×C61#12312yes—
281D4×C61—22no—
282D4×C61—22no—
283D4×C61—21no—
284D4×C61—21no—
285D4×C61—22no—
286D4×C61—21no—
287D4×C61—21no—
288D4×C61—22no—
289D4×C61—21no—
290D4×C61—44no—
291D4×C61—44no—
292D4×C61—41no—
293D4×C61—41no—
294D4×C61—41no—
295D4×C61—41no—
296D4×C61—41no—
297D4×C61—41no—
298D4×C61—161no—
299D4×C61#12312yes—
300C2×C4×C61—21no—
301C2×C4×C61—22no—
302C2×C4×C61—22no—
303C2×C4×C61—21no—
304C2×C4×C61—21no—
305C2×C4×C61—44no—
306C2×C4×C61—41no—
307C2×C4×C61—41no—
308C2×C4×C61—41no—
309C2×C4×C61—41no—
310C2×C4×C61—41no—
311C2×C4×C61—81no—
312C2×C4×C61C22×D411yescharacteristic
313C2×C4×C61C22×D411yescharacteristic
314C2×C4×C61C2×#4111yescharacteristic
315C2×C4×C61C2×#4111yescharacteristic
316C2×C4×C61C2×#4111yescharacteristic
317C2×C4×C61H(5,𝔽2)11yescharacteristic
318C2×Dic61—22no—
319C2×Dic61—21no—
320C2×Dic61—21no—
321C2×Dic61—41no—
322C2×Dic61—41no—
323C2×Dic61—41no—
324C2×Dic61—41no—
325C2×Dic61—81no—
326C2×Dic61—81no—
327C2×Dic61—161no—
328C2×Dic61—161no—
329C8×C61—21no—
330C8×C61—21no—
331C8×C61—41no—
332#92418—21no—
333#92418—21no—
334#92418—41no—
335#92418—41no—
336#92418—41no—
337#24925—611nomaximal, Sylow
338C22×C61—21no—
339C22×C61—21no—
340C22×C61—22no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61—41no—
344C22×C61—42no—
345C22×C61—41no—
346C22×C61—41no—
347C22×C61—41no—
348C22×C61—41no—
349C22×C61—41no—
350C22×C61—82no—
351C22×C61—81no—
352C22×C61—81no—
353C22×C61—161no—
354C22×C61—164no—
355C22×C61#53811yescharacteristic
356C22×C61D4211yescharacteristic
357C22×C61#55111yescharacteristic
358C4×C61—22no—
359C4×C61—41no—
360C4×C61—41no—
361C4×C61—81no—
362C4×C61C2×#12311yescharacteristic
363C4×C61#52511yescharacteristic
364C4×C61#54611yescharacteristic
365C4×C61#54611yescharacteristic
366Dic61—42no—
367Dic61—41no—
368Dic61—41no—
369Dic61—81no—
370Dic61—81no—
371#3098—611no—
372#3012D6111yescharacteristic
373#2951—611no—
374#2897—611no—
375#2093—611no—
376#2078—611no—
377#2051—611no—
378#2039—611no—
379#1931—611no—
380#1929—611no—
381#1883—611no—
382#1876—611no—
383#1859—611no—
384#1816—611no—
385#1792—611no—
386C2×C61—21no—
387C2×C61—21no—
388C2×C61—42no—
389C2×C61—81no—
390C2×C61—81no—
391C2×C61—82no—
392C2×C61#241811yescharacteristic
393C2×C61#328911yescharacteristic
394C2×C61#329211yescharacteristic
395C2×H(5,𝔽2)C2×D6111yescharacteristic
396C2×AGL(1,ℤ/8)C2×D6111yescharacteristic
397C2×#135C2×D6111yescharacteristic
398C2×#131—611no—
399#537C2×D6111yescharacteristic
400#520—611no—
401#520—611no—
402#485—1221no—
403#484—1221no—
404#482—1221no—
405#480—1221no—
406#452—21no—
407#450—21no—
408#449—21no—
409#447—21no—
410#440—1221no—
411#440—1221no—
412C4×Q16—1221no—
413C4×D8—1221no—
414C2×#108—611no—
415#428—611no—
416C2×#107—611no—
417C2×#107—611no—
418C2×#104—611no—
419C2×#104—611no—
420C2×#104—611no—
421#418—611no—
422#418—1221no—
423#417—611no—
424#417—611no—
425#417—611no—
426#417—611no—
427#417—1221no—
428#417C2×D6111yescharacteristic
429#416—611no—
430#416—1221no—
431C2×#102—611no—
432C2×#102—1221no—
433C2×#102C2×D6111yescharacteristic
434C2×#100—611no—
435#408—611no—
436#408C2×D6111yescharacteristic
437#405—611no—
438#390—611no—
439#384—611no—
440#343—611no—
441#343—611no—
442#343—611no—
443#341—611no—
444#339—611no—
445#336—611no—
446C61#2492511yescharacteristic, complemented, Sylow
447H(5,𝔽2)—22no—
448H(5,𝔽2)—22no—
449H(5,𝔽2)—22no—
450H(5,𝔽2)—41no—
451C2×#41—21no—
452C2×#41—21no—
453C2×#41C22×D6111yescharacteristic
454C2×#41C22×D6111yescharacteristic
455C2×#41C22×D6111yescharacteristic
456C22×D4—21no—
457C22×D4—21no—
458C22×D4—41no—
459C22×D4C22×D6111yescharacteristic
460AGL(1,ℤ/8)—22no—
461AGL(1,ℤ/8)—41no—
462#135—22no—
463#135—22no—
464C2×Q16C22⋊D6111yescharacteristic
465C2×SD16—21no—
466C2×SD16C22⋊D6111yescharacteristic
467C2×SD16C22⋊D6111yescharacteristic
468C2×D8—21no—
469C2×D8C22⋊D6111yescharacteristic
470#131—1222no—
471#131—2441no—
472C2×M16—611no—
473C2×M16—611no—
474C2×M16—611no—
475C2×M16—1221no—
476C2×M16C22×D6111yescharacteristic
477C22×C8—611no—
478C22×C8—1221no—
479C22×C8C22×D6111yescharacteristic
480C22⋊Q8—21no—
481C22⋊Q8—21no—
482#121—21no—
483#121—21no—
484#121—41no—
485C4×Q8—1221no—
486C4×Q8—1221no—
487C4×D4—1221no—
488C4×D4—1221no—
489C4×D4—2441no—
490C4×D4—2441no—
491#117—611no—
492#117—1221no—
493#117—1221no—
494C2×C4⋊C4—611no—
495C2×C4⋊C4—611no—
496C2×C4⋊C4—1221no—
497C2×C4⋊C4—1221no—
498C2×C4⋊C4—2441no—
499C2×C4⋊C4C22×D6111yescharacteristic
500C2×C22⋊C4—2441no—
501C2×C42—611no—
502#108—2441no—
503#107—1221no—
504#107—1221no—
505#107—1221no—
506#107—1221no—
507#107—1221no—
508#106—1221no—
509#104—1222no—
510#104—2441no—
511#104—2441no—
512#103—21no—
513#103—611no—
514#103—611no—
515#103—1221no—
516#103—1221no—
517#103—1221no—
518#103—1221no—
519#102—21no—
520#102—21no—
521#102—21no—
522#102—611no—
523#102—611no—
524#102—1221no—
525#102—1221no—
526#102—1221no—
527#102—1221no—
528#102—1221no—
529#102—1221no—
530#102—1221no—
531#102—1221no—
532#100—1222no—
533C22⋊C8—21no—
534C22⋊C8—21no—
535C22⋊C8—1221no—
536C22⋊C8—1221no—
537#97—1221no—
538C4×C8—1221no—
539C24—21no—
540C24—41no—
541#41—21no—
542#41—21no—
543#41—24no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—21no—
549#41—21no—
550#41—21no—
551#41—21no—
552#41—42no—
553#41—42no—
554#41—42no—
555#41#1175822412yes—
556#41#1175822412yes—
557C2×Q8D4×D6111yescharacteristic
558C2×Q8C2×C22⋊D6111yescharacteristic
559C2×Q8C2×C22⋊D6111yescharacteristic
560C2×D4—21no—
561C2×D4—24no—
562C2×D4—21no—
563C2×D4—21no—
564C2×D4—21no—
565C2×D4—21no—
566C2×D4—21no—
567C2×D4—21no—
568C2×D4—21no—
569C2×D4—42no—
570C2×D4—41no—
571C2×D4—41no—
572C2×D4—42no—
573C2×D4—44no—
574C2×D4—44no—
575C2×D4—42no—
576C2×D4—41no—
577C2×D4D4×D6111yescharacteristic
578C2×D4#1175822412yes—
579C2×D4C2×C22⋊D6111yescharacteristic
580C2×D4C2×C22⋊D6111yescharacteristic
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—41no—
586C22×C4—1221no—
587C22×C4—1221no—
588C22×C4—1221no—
589C22×C4—2441no—
590C22×C4—2441no—
591C22×C4C23×D6111yescharacteristic
592Q16—22no—
593SD16—22no—
594SD16—22no—
595SD16—42no—
596D8—22no—
597D8—42no—
598M16—21no—
599M16—21no—
600M16—1221no—
601M16—1221no—
602M16—1221no—
603M16—1221no—
604M16—1221no—
605M16—1221no—
606M16—2442no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—611no—
611C2×C8—611no—
612C2×C8—1221no—
613C2×C8—1221no—
614C2×C8—1221no—
615C2×C8—1221no—
616C2×C8—1221no—
617C2×C8—2442no—
618C2×C8C2×C22⋊D6111yescharacteristic
619C2×C8C2×C22⋊D6111yescharacteristic
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—41no—
623C4⋊C4—611no—
624C4⋊C4—611no—
625C4⋊C4—1221no—
626C4⋊C4—1221no—
627C4⋊C4—1221no—
628C4⋊C4—1221no—
629C4⋊C4—4882no—
630C4⋊C4—2441no—
631C4⋊C4—2441no—
632C22⋊C4—41no—
633C22⋊C4—41no—
634C22⋊C4—1221no—
635C22⋊C4—4882no—
636C22⋊C4—2441no—
637C22⋊C4—2441no—
638C42—1221no—
639C42—1221no—
640C42—1221no—
641C42—2441no—
642C42—2441no—
643C23—21no—
644C23—21no—
645C23—21no—
646C23—22no—
647C23—44no—
648C23—41no—
649C23—41no—
650C23—81no—
651C23—81no—
652C23—161no—
653C23—161no—
654C23#1451982211yescharacteristic
655Q8—21no—
656Q8—21no—
657Q8—21no—
658Q8—21no—
659Q8—21no—
660Q8#1451975812yes—
661D4—22no—
662D4—22no—
663D4—21no—
664D4—21no—
665D4—22no—
666D4—21no—
667D4—21no—
668D4—21no—
669D4—22no—
670D4—44no—
671D4—44no—
672D4—41no—
673D4—41no—
674D4—41no—
675D4—41no—
676D4—41no—
677D4—41no—
678D4—161no—
679D4#1451975812yes—
680C2×C4—21no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—44no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—81no—
692C2×C4—1222no—
693C2×C4—1221no—
694C2×C4—1221no—
695C2×C4—9761no—
696C2×C4—9761no—
697C2×C4—4881no—
698C2×C4—4881no—
699C2×C4—2441no—
700C2×C4—2441no—
701C2×C4—2441no—
702C2×C4—2441no—
703C2×C4C2×D4×D6111yescharacteristic
704C2×C4C22×C22⋊D6111yescharacteristic
705C2×C4C2×#1175822411yescharacteristic
706C2×C4C2×#1175822411yescharacteristic
707C2×C4C2×#1175822411yescharacteristic
708C2×C4#1451982211yescharacteristic
709C8—21no—
710C8—21no—
711C8—41no—
712C8—1221no—
713C8—1221no—
714C8—2441no—
715C8—2441no—
716C8—2441no—
717C22—21no—
718C22—21no—
719C22—22no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—42no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—41no—
728C22—41no—
729C22—82no—
730C22—81no—
731C22—81no—
732C22—161no—
733C22—164no—
734C22#1684034711yescharacteristic
735C22D4×C22⋊D6111yescharacteristic
736C22#1684044311yescharacteristic
737C4—22no—
738C4—41no—
739C4—41no—
740C4—81no—
741C4—4881no—
742C4—4881no—
743C4—2442no—
744C4—2441no—
745C4—2441no—
746C4C2×#1451975811yescharacteristic
747C4#1684026811yescharacteristic
748C4#1684039911yescharacteristic
749C4#1684040611yescharacteristic
750C2—21no—
751C2—21no—
752C2—42no—
753C2—81no—
754C2—81no—
755C2—82no—
756C2#2144927711yescharacteristic
757C2#2145759211yescharacteristic
758C2#2145761611yescharacteristic
subgroupG/H
centerC22D4×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
Fitting, prime radicalC61×#3012C2
socleC22×C61D42
hypercenter#3012D61
hypocenterC61#24925
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #3012

Complements

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

NH ≅ G/Ntype
1. #21455793C2semidirect
2. #21454695C2semidirect
3. #21454345C2semidirect
4. #21447345C2semidirect
5. #21447259C2semidirect
6. #21447108C2semidirect
7. #21447040C2semidirect
8. #21446478C2semidirect
9. #21446464C2semidirect
10. #21446197C2semidirect
11. #21446148C2semidirect
12. #21446043C2semidirect
13. #21445881C2semidirect
14. #21445773C2semidirect
18. #16840245C22semidirect
27. C2×#14519712C22semidirect
28. #16839802C22semidirect
29. C2×#14519711C22semidirect
30. C2×#14519710C22semidirect
33. C2×#14519704C22semidirect
40. #16839763C22semidirect
46. #16839729C22semidirect
47. #16839717C22semidirect
49. #16839631C22semidirect
50. #16839531C22semidirect
51. #16839530C22semidirect
52. #16839530C22semidirect
53. #16839527C22semidirect
54. #16839523C22semidirect
55. #16839516C22semidirect
446. C61#24925semidirect

Maximal subgroups

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

subgroupindex
#214557932
#214546952
#214543452
#214473452
#214472592
#214471082
#214470402
#214464782
#214464642
#214461972
#214461482
#214460432
#214458812
#214457732
C61×#30122
#2492561