Finite Group Databasebeta

← #29700805

Subgroups — #29700805

Order 15616.

1020 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839942C211yesmaximal, characteristic
2#21454664C211yesmaximal, characteristic, complemented
3#21454660C211yesmaximal, characteristic, complemented
4#21454344C211yesmaximal, characteristic
5#21454340C211yesmaximal, characteristic
6#21446634C211yesmaximal, characteristic, complemented
7#21446483C211yesmaximal, characteristic, complemented
8#21446335C211yesmaximal, characteristic, complemented
9#21446333C211yesmaximal, characteristic, complemented
10#21446219C211yesmaximal, characteristic, complemented
11#21446048C211yesmaximal, characteristic, complemented
12#21446042C211yesmaximal, characteristic, complemented
13#21445665C211yesmaximal, characteristic, complemented
14#21445662C211yesmaximal, characteristic, complemented
15C61×#1931C211yesmaximal, characteristic, complemented
16C2×#14519822C2211yescharacteristic
17C2×#14519810C2211yescharacteristic
18C2×#14519810C2211yescharacteristic
19C2×#14519785C2211yescharacteristic
20C2×#14519783C2211yescharacteristic
21C2×#14519764C2211yescharacteristic
22#16840243C2211yescharacteristic
23#16840242C2211yescharacteristic
24#16840239C2211yescharacteristic, complemented
25#16839942C418yescomplemented
26#16839870—21no—
27#16839868—21no—
28#16839864—21no—
29#16839861—21no—
30C4×Dic244—21no—
31#16839856—21no—
32C4×#11758190—21no—
33#16839849—21no—
34#16839804C2211yescharacteristic, complemented
35C2×#14519703C2211yescharacteristic
36C2×#14519703C2211yescharacteristic
37#16839767C2211yescharacteristic
38#16839765—21no—
39#16839765—21no—
40#16839764C2211yescharacteristic
41#16839761C2211yescharacteristic
42#16839760—21no—
43#16839760—21no—
44#16839759C2211yescharacteristic
45#16839756C2211yescharacteristic
46#16839755—21no—
47#16839755—21no—
48C2×#14519702C2211yescharacteristic, complemented
49C2×#14519700C2211yescharacteristic, complemented
50C2×#14519698C2211yescharacteristic
51#102×D61—21no—
52#102×D61—21no—
53C2×#14519695C2211yescharacteristic, complemented
54#16839720C2211yescharacteristic, complemented
55C2×#14519687C2211yescharacteristic, complemented
56#16839631C2211yescharacteristic, complemented
57#16839530C2211yescharacteristic, complemented
58#16839526C2211yescharacteristic, complemented
59#16839523C2211yescharacteristic, complemented
60#16839521C2211yescharacteristic, complemented
61C61×#428C2211yescharacteristic, complemented
62C61×#418C2211yescharacteristic
63C2×#102×C61C2211yescharacteristic
64C2×#100×C61C2211yescharacteristic
65C61×#405C2211yescharacteristic, complemented
66C61×#343C2211yescharacteristic, complemented
67C61×#341C2211yescharacteristic, complemented
68#14519822—22no—
69#14519822—22no—
70#14519822—41no—
71#14519822C2×C414yes—
72C2×#11758222C2311yescharacteristic
73C2×#11758222C2311yescharacteristic
74C2×#11758224—21no—
75C2×#11758224—21no—
76C22×Dic122C2311yescharacteristic
77C22×C22⋊D61—41no—
78C2×D4×D61—21no—
79C2×D4×D61—21no—
80#14519810—22no—
81#14519810—22no—
82#14519810C2×C414yescomplemented
83#14519810C2×C414yescomplemented
84C2×Dic244—21no—
85C2×Dic244—21no—
86C2×#11758190—21no—
87C2×#11758190—21no—
88#14519785—22no—
89#14519785—41no—
90#14519783—22no—
91#14519783—41no—
92C2×#11758194C2311yescharacteristic
93C2×#11758189—21no—
94C2×#11758189—21no—
95C22×#92418C2311yescharacteristic
96C2×C8×D61—21no—
97C2×C8×D61—21no—
98#14519764—41no—
99#14519764C2×C414yescomplemented
100C4×Dic122—21no—
101C4×Dic122—21no—
102C4×Dic122—21no—
103#14519742—21no—
104#14519742—21no—
105#14519742—21no—
106C4×D244—21no—
107#14519739—21no—
108C4×C22⋊D61—41no—
109#14519737—41no—
110#14519736C2311yescharacteristic
111#14519735—21no—
112#14519735—21no—
113#14519733—41no—
114C2×C4⋊Dic61C2311yescharacteristic
115C2×#11758196—41no—
116C4⋊C4×D61—21no—
117C4⋊C4×D61—21no—
118C2×C22⋊Dic61—41no—
119C2×C4×Dic61C2311yescharacteristic
120#14519711—21no—
121#14519709—21no—
122#14519703C2×C414yescomplemented
123#14519703C2×C414yescomplemented
124#14519702—21no—
125#14519702—21no—
126#14519702—21no—
127#14519702D411yescharacteristic
128#14519702D411yescharacteristic
129#14519700—21no—
130#14519700—21no—
131#14519700—21no—
132#14519700D411yescharacteristic
133#14519700D411yescharacteristic
134#14519699—21no—
135#14519699D411yescharacteristic
136#14519699D411yescharacteristic
137#14519698—21no—
138#14519698—21no—
139#14519698—21no—
140#14519698—21no—
141#14519697—21no—
142#14519697D411yescharacteristic
143#14519697D411yescharacteristic
144#14519695—41no—
145#14519687—21no—
146#14519687—41no—
147C8×Dic61—21no—
148C22×D4×C61C2311yescharacteristic
149C2×M16×C61C2311yescharacteristic
150C2×M16×C61C2311yescharacteristic
151C2×M16×C61C2311yescharacteristic
152C22×C8×C61C2311yescharacteristic
153#117×C61C2311yescharacteristic
154C2×C4⋊C4×C61C2311yescharacteristic
155#107×C61—21no—
156#106×C61—21no—
157#102×C61—21no—
158#102×C61—21no—
159#102×C61—21no—
160#102×C61—21no—
161#100×C61C2×C414yescomplemented
162#97×C61—21no—
163C4×C8×C61—21no—
164C24×C61—21no—
165C23×D61—41no—
166C2×D4×C61—21no—
167C2×D4×C61—21no—
168C2×D4×C61—21no—
169C2×D4×C61—21no—
170C2×D4×C61—21no—
171C2×D4×C61C22×C412yes—
172C22×C4×C61—21no—
173C22×C4×C61C2411yescharacteristic
174C2×C22⋊D61—21no—
175C2×C22⋊D61—21no—
176C2×C22⋊D61—41no—
177C2×C22⋊D61—41no—
178C2×C22⋊D61—44no—
179C2×C22⋊D61—44no—
180C22×Dic61—21no—
181C22×Dic61—21no—
182C22×Dic61—21no—
183C22×Dic61—41no—
184#11758224—24no—
185#11758224—24no—
186#11758224—42no—
187#11758224—42no—
188D4×D61—24no—
189D4×D61—24no—
190D4×D61—42no—
191D4×D61—42no—
192#11758222—21no—
193#11758222—21no—
194#11758222—21no—
195#11758222—21no—
196#11758222C22×C412yes—
197#11758222C22×C412yes—
198#11758222#4112yes—
199#11758222#4112yes—
200C2×D244C2×D411yescharacteristic
201C2×D244C2×D411yescharacteristic
202C2×C4×D61—21no—
203C2×C4×D61—21no—
204C2×C4×D61—41no—
205C2×C4×D61—41no—
206C2×Dic122—21no—
207C2×Dic122—21no—
208C2×Dic122—21no—
209C2×Dic122—21no—
210C2×Dic122—21no—
211C2×Dic122C22×C412yes—
212C2×Dic122C2×D411yescharacteristic
213C2×Dic122C2×D411yescharacteristic
214M16×C61—21no—
215M16×C61—21no—
216M16×C61—21no—
217M16×C61—21no—
218M16×C61C22×C412yes—
219M16×C61C22×C412yes—
220C2×C8×C61—21no—
221C2×C8×C61—21no—
222C2×C8×C61—21no—
223C2×C8×C61—21no—
224C2×C8×C61—21no—
225C2×C8×C61C2×D411yescharacteristic
226C2×C8×C61C2×D411yescharacteristic
227C4⋊C4×C61—21no—
228C4⋊C4×C61—21no—
229C4⋊C4×C61C2×D411yescharacteristic
230C4⋊C4×C61C2×D411yescharacteristic
231C22⋊C4×C61—21no—
232C42×C61—21no—
233C22⋊Dic61—21no—
234C22⋊Dic61—44no—
235#11758198—41no—
236#11758198—41no—
237C4⋊Dic61—21no—
238C4⋊Dic61—21no—
239C4⋊Dic61C2×D411yescharacteristic
240C4⋊Dic61C2×D411yescharacteristic
241#11758196—41no—
242#11758196—41no—
243#11758196—41no—
244#11758196—41no—
245#11758196—82no—
246C4×Dic61—21no—
247C4×Dic61—21no—
248C4×Dic61—41no—
249C4×Dic61—41no—
250C4×Dic61—41no—
251C4×Dic61—41no—
252C4×Dic61C22×C412yes—
253#11758194—21no—
254#11758194—21no—
255C2×#92418—21no—
256C2×#92418—21no—
257C2×#92418—21no—
258C2×#92418C2×D411yescharacteristic
259C2×#92418C2×D411yescharacteristic
260Dic244—24no—
261Dic244—24no—
262#11758190—24no—
263#11758190—24no—
264#11758189—42no—
265#11758189—42no—
266C8×D61—42no—
267C8×D61—42no—
268C23×C61—22no—
269C23×C61—41no—
270C23×C61—41no—
271C23×C61—81no—
272C23×C61—81no—
273C23×C61H(5,𝔽2)11yescharacteristic
274C22×D61—21no—
275C22×D61—21no—
276C22×D61—44no—
277C22×D61—161no—
278C22×D61—161no—
279D4×C61—22no—
280D4×C61—22no—
281D4×C61—41no—
282D4×C61—41no—
283C2×C4×C61—21no—
284C2×C4×C61—21no—
285C2×C4×C61—41no—
286C2×C4×C61—81no—
287C2×C4×C61C23×C411yescharacteristic
288C2×C4×C61C22×D411yescharacteristic
289C2×C4×C61C22×D411yescharacteristic
290C2×C4×C61C2×#4111yescharacteristic
291C2×C4×C61C2×#4111yescharacteristic
292C2×C4×C61H(5,𝔽2)11yescharacteristic
293C22⋊D61—22no—
294C22⋊D61—22no—
295C22⋊D61—22no—
296C22⋊D61—22no—
297C22⋊D61—44no—
298C22⋊D61—44no—
299C2×Dic61—21no—
300C2×Dic61—21no—
301C2×Dic61—22no—
302C2×Dic61—22no—
303C2×Dic61—21no—
304C2×Dic61—21no—
305C2×Dic61—44no—
306C2×Dic61—41no—
307C2×Dic61—41no—
308C2×Dic61—41no—
309C2×Dic61—41no—
310C2×Dic61—41no—
311C2×Dic61—81no—
312D244—21no—
313D244—21no—
314D244C4×D412yes—
315D244C4×D412yes—
316C4×D61—22no—
317C4×D61—22no—
318C4×D61—22no—
319C4×D61—22no—
320C4×D61—161no—
321C4×D61—161no—
322Dic122—21no—
323Dic122—21no—
324Dic122—22no—
325Dic122—22no—
326Dic122—41no—
327Dic122—41no—
328Dic122C4×D412yes—
329Dic122C4×D412yes—
330C8×C61—22no—
331C8×C61—22no—
332C8×C61—21no—
333C8×C61—21no—
334C8×C61—41no—
335#92418—21no—
336#92418—21no—
337#92418—41no—
338#22890—611nomaximal, Sylow
339C22×C61—21no—
340C22×C61—21no—
341C22×C61—42no—
342C22×C61—82no—
343C22×C61—81no—
344C22×C61—81no—
345C22×C61—161no—
346C22×C61#51811yescharacteristic
347C22×C61D4211yescharacteristic
348C22×C61#55111yescharacteristic
349C2×D61—22no—
350C2×D61—22no—
351C2×D61—41no—
352C2×D61—41no—
353C2×D61—41no—
354C2×D61—41no—
355C2×D61—164no—
356C4×C61—41no—
357C4×C61—41no—
358C4×C61—81no—
359C4×C61C2×C4×D411yescharacteristic
360C4×C61C2×C4×D411yescharacteristic
361C4×C61#54611yescharacteristic
362C4×C61#54611yescharacteristic
363Dic61—22no—
364Dic61—22no—
365Dic61—42no—
366Dic61—42no—
367Dic61—41no—
368Dic61—41no—
369Dic61—81no—
370C2×#455—611no—
371#2947—611no—
372#2947—611no—
373#2897—611no—
374#2897—611no—
375#1959—611no—
376#1931—611no—
377#1931D6111yescharacteristic, complemented
378#1908—611no—
379#1908—611no—
380#1888—611no—
381#1859—611no—
382#1859—611no—
383#1765—611no—
384#1765—611no—
385C2×C61—21no—
386C2×C61—21no—
387C2×C61—82no—
388C2×C61#235811yescharacteristic
389C2×C61#328811yescharacteristic
390C2×C61#328911yescharacteristic
391D61—42no—
392D61—42no—
393C2×H(5,𝔽2)—611no—
394C2×#137—611no—
395C2×#137—611no—
396C2×#131—611no—
397C2×#131—611no—
398C2×#124—611no—
399#520—611no—
400#520—611no—
401#519—611no—
402#455—618no—
403#441—1221no—
404#441—1221no—
405#440—1221no—
406#440—1221no—
407C4×Q16—1221no—
408C4×Q16—1221no—
409C4×SD16—1221no—
410C4×SD16—1221no—
411#428—611no—
412#428C2×D6111yescharacteristic, complemented
413C2×#104—611no—
414C2×#104—611no—
415#418—611no—
416#418—1221no—
417#418—1221no—
418#418C2×D6111yescharacteristic
419#417—611no—
420#417—611no—
421#417—1221no—
422#417—1221no—
423#416—611no—
424#416—611no—
425#416—1221no—
426#416—1221no—
427C2×#103—611no—
428C2×#103—611no—
429C2×#102—611no—
430C2×#102—1221no—
431C2×#102—1221no—
432C2×#102C2×D6111yescharacteristic
433C2×#101—611no—
434C2×#100C2×D6111yescharacteristic
435#405—611no—
436#405C2×D6111yescharacteristic, complemented
437C2×#97—611no—
438#384—611no—
439#343—611no—
440#343C2×D6111yescharacteristic, complemented
441#341—611no—
442#341C2×D6111yescharacteristic, complemented
443#339—611no—
444#339—611no—
445C61#2289011yescharacteristic, complemented, Sylow
446H(5,𝔽2)—614no—
447H(5,𝔽2)—1222no—
448H(5,𝔽2)—1222no—
449H(5,𝔽2)—2441no—
450C2×#41—611no—
451C2×#41—611no—
452C2×#41—1221no—
453C2×#41—1221no—
454C22×Q8—611no—
455C22×D4—1221no—
456C22×D4—1221no—
457C22×D4—2441no—
458C22×D4C22×D6111yescharacteristic
459#137—614no—
460#137—614no—
461#137—1222no—
462#137—1222no—
463C2×Q16—1221no—
464C2×Q16—1221no—
465C2×SD16—1221no—
466C2×SD16—1221no—
467#131—1222no—
468#131—1222no—
469#131—2441no—
470#131—2441no—
471C2×M16—611no—
472C2×M16—1221no—
473C2×M16—1221no—
474C2×M16C22×D6111yescharacteristic
475C2×M16C22×D6111yescharacteristic
476C2×M16C22×D6111yescharacteristic
477C22×C8—611no—
478C22×C8—1221no—
479C22×C8—1221no—
480C22×C8C22×D6111yescharacteristic
481#124—614no—
482#124—2441no—
483C4×Q8—1221no—
484C4×Q8—1221no—
485C4×Q8—1221no—
486C4×Q8—1221no—
487C4×Q8—1221no—
488C4×Q8—1221no—
489C4×D4—1221no—
490C4×D4—1221no—
491C4×D4—2441no—
492C4×D4—2441no—
493#117—611no—
494#117—1221no—
495#117—1221no—
496#117—2441no—
497#117C22×D6111yescharacteristic
498C2×C4⋊C4—611no—
499C2×C4⋊C4—1221no—
500C2×C4⋊C4—1221no—
501C2×C4⋊C4—2441no—
502C2×C4⋊C4C22×D6111yescharacteristic
503C2×C22⋊C4—2441no—
504C2×C42—611no—
505#107—21no—
506#107—1221no—
507#106—21no—
508#106—1221no—
509#104—614no—
510#104—614no—
511#103—611no—
512#103—611no—
513#103—611no—
514#103—611no—
515#103—1221no—
516#103—1221no—
517#103—1221no—
518#103—1221no—
519#103—1221no—
520#103—1221no—
521#102—21no—
522#102—21no—
523#102—21no—
524#102—21no—
525#102—611no—
526#102—611no—
527#102—611no—
528#102—611no—
529#102—1221no—
530#102—1221no—
531#102—1221no—
532#102—1221no—
533#102—1221no—
534#102—1221no—
535#101—2441no—
536#100C4×D6114yescomplemented
537#97—21no—
538#97—1221no—
539#97—2441no—
540C4×C8—21no—
541C4×C8—1221no—
542C24—21no—
543C24—2441no—
544#41—612no—
545#41—612no—
546#41—612no—
547#41—612no—
548#41—1221no—
549#41—1221no—
550#41—1221no—
551#41—1221no—
552#41—1224no—
553#41—1224no—
554#41—2442no—
555#41—2442no—
556C2×Q8—612no—
557C2×Q8—611no—
558C2×Q8—611no—
559C2×Q8—1221no—
560C2×Q8—1221no—
561C2×Q8—1221no—
562C2×Q8—1221no—
563C2×Q8—1221no—
564C2×D4—21no—
565C2×D4—21no—
566C2×D4—21no—
567C2×D4—21no—
568C2×D4—21no—
569C2×D4—611no—
570C2×D4—611no—
571C2×D4—1224no—
572C2×D4—1224no—
573C2×D4—1221no—
574C2×D4—1221no—
575C2×D4—2442no—
576C2×D4—2442no—
577C2×D4—2441no—
578C2×D4—2441no—
579C2×D4—2444no—
580C2×D4—2444no—
581C2×D4C2×C4×D6112yes—
582C22×C4—21no—
583C22×C4—1221no—
584C22×C4—1221no—
585C22×C4—1221no—
586C22×C4—1221no—
587C22×C4—1221no—
588C22×C4—2441no—
589C22×C4—2441no—
590C22×C4—2441no—
591C22×C4C23×D6111yescharacteristic
592Q16—1224no—
593Q16—1224no—
594SD16—1224no—
595SD16—1224no—
596M16—21no—
597M16—21no—
598M16—21no—
599M16—21no—
600M16—1221no—
601M16—1221no—
602M16—2442no—
603M16—2442no—
604M16C2×C4×D6112yes—
605M16C2×C4×D6112yes—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—21no—
611C2×C8—611no—
612C2×C8—611no—
613C2×C8—1221no—
614C2×C8—1221no—
615C2×C8—1221no—
616C2×C8—2442no—
617C2×C8—2442no—
618C2×C8D4×D6111yescharacteristic
619C2×C8D4×D6111yescharacteristic
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—611no—
623C4⋊C4—611no—
624C4⋊C4—1221no—
625C4⋊C4—1221no—
626C4⋊C4—4882no—
627C4⋊C4—2441no—
628C4⋊C4—2441no—
629C4⋊C4—2441no—
630C4⋊C4—2441no—
631C4⋊C4D4×D6111yescharacteristic
632C4⋊C4D4×D6111yescharacteristic
633C22⋊C4—21no—
634C22⋊C4—1221no—
635C22⋊C4—2441no—
636C22⋊C4—2441no—
637C22⋊C4—2444no—
638C42—21no—
639C42—612no—
640C42—1221no—
641C42—1221no—
642C42—2441no—
643C42—2441no—
644C42—2441no—
645C42—2441no—
646C23—22no—
647C23—41no—
648C23—41no—
649C23—81no—
650C23—81no—
651C23—1221no—
652C23—1221no—
653C23—9761no—
654C23—9761no—
655C23—2444no—
656C23#1451982311yescharacteristic
657Q8—612no—
658Q8—612no—
659Q8—1221no—
660Q8—1221no—
661Q8—1222no—
662Q8—1222no—
663Q8—2441no—
664Q8—2441no—
665D4—22no—
666D4—22no—
667D4—41no—
668D4—41no—
669D4—612no—
670D4—612no—
671D4—1222no—
672D4—1222no—
673D4—1222no—
674D4—1222no—
675D4—1221no—
676D4—1221no—
677D4—2444no—
678D4—2444no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—41no—
682C2×C4—81no—
683C2×C4—1221no—
684C2×C4—1221no—
685C2×C4—1222no—
686C2×C4—1222no—
687C2×C4—1222no—
688C2×C4—1222no—
689C2×C4—1222no—
690C2×C4—1222no—
691C2×C4—1221no—
692C2×C4—1221no—
693C2×C4—9761no—
694C2×C4—9761no—
695C2×C4—4881no—
696C2×C4—2444no—
697C2×C4—2441no—
698C2×C4—2441no—
699C2×C4—2441no—
700C2×C4—2441no—
701C2×C4—2441no—
702C2×C4C22×C4×D6111yescharacteristic
703C2×C4C2×D4×D6111yescharacteristic
704C2×C4C2×D4×D6111yescharacteristic
705C2×C4#41×D6111yescharacteristic
706C2×C4#41×D6111yescharacteristic
707C2×C4#1451982311yescharacteristic
708C8—22no—
709C8—22no—
710C8—21no—
711C8—21no—
712C8—41no—
713C8—1221no—
714C8—1221no—
715C8—2441no—
716C22—21no—
717C22—21no—
718C22—42no—
719C22—82no—
720C22—81no—
721C22—81no—
722C22—161no—
723C22—1222no—
724C22—1222no—
725C22—9764no—
726C22—2441no—
727C22—2441no—
728C22—2441no—
729C22—2441no—
730C22#1684023611yescharacteristic
731C22#1684039611yescharacteristic
732C22#1684043711yescharacteristic
733C4—41no—
734C4—41no—
735C4—81no—
736C4—1222no—
737C4—1222no—
738C4—4881no—
739C4—2442no—
740C4—2442no—
741C4—2441no—
742C4—2441no—
743C4C4×D4×D6111yescharacteristic
744C4C4×D4×D6111yescharacteristic
745C4#1684040411yescharacteristic
746C4#1684040511yescharacteristic
747C2—21no—
748C2—21no—
749C2—82no—
750C2—2442no—
751C2—2442no—
752C2#2144879711yescharacteristic
753C2#2145758211yescharacteristic
754C2#2145759111yescharacteristic
subgroupG/H
centerC22#16840396
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1931C2
socleC22×C61D42
prime radicalC2×#14519822C22
cosocleC22×C4×C61C24
hypercenter#1931D61
hypocenterC61#22890
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1931

Complements

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

NH ≅ G/Ntype
2. #21454664C2semidirect
3. #21454660C2semidirect
6. #21446634C2semidirect
7. #21446483C2semidirect
8. #21446335C2semidirect
9. #21446333C2semidirect
10. #21446219C2semidirect
11. #21446048C2semidirect
12. #21446042C2semidirect
13. #21445665C2semidirect
14. #21445662C2semidirect
15. C61×#1931C2semidirect
24. #16840239C22semidirect
25. #16839942C4semidirect
34. #16839804C22semidirect
48. C2×#14519702C22semidirect
49. C2×#14519700C22semidirect
53. C2×#14519695C22semidirect
54. #16839720C22semidirect
55. C2×#14519687C22semidirect
56. #16839631C22semidirect
57. #16839530C22semidirect
58. #16839526C22semidirect
59. #16839523C22semidirect
60. #16839521C22semidirect
61. C61×#428C22semidirect
65. C61×#405C22semidirect
66. C61×#343C22semidirect
67. C61×#341C22semidirect
82. #14519810C2×C4semidirect
83. #14519810C2×C4semidirect
99. #14519764C2×C4semidirect
122. #14519703C2×C4semidirect
123. #14519703C2×C4semidirect
161. #100×C61C2×C4semidirect
377. #1931D61semidirect
412. #428C2×D61semidirect
436. #405C2×D61semidirect
440. #343C2×D61semidirect
442. #341C2×D61semidirect
445. C61#22890semidirect
536. #100C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399422
#214546642
#214546602
#214543442
#214543402
#214466342
#214464832
#214463352
#214463332
#214462192
#214460482
#214460422
#214456652
#214456622
C61×#19312
#2289061