Finite Group Databasebeta

← #14417452

Subgroups — #14417452

Order 1920.

984 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11756304C211yesmaximal, characteristic
2C2×#91487C211yesmaximal, characteristic
3#11752460C211yesmaximal, characteristic, complemented
4C5×#5018C211yesmaximal, characteristic, complemented
5C3×C4×#687C211yesmaximal, characteristic, complemented
6#11749020C211yesmaximal, characteristic, complemented
7#11749017C211yesmaximal, characteristic, complemented
8#11748972C211yesmaximal, characteristic
9#11747491C211yesmaximal, characteristic, complemented
10#11747440C211yesmaximal, characteristic, complemented
11#11747279C211yesmaximal, characteristic, complemented
12#11747273C211yesmaximal, characteristic, complemented
13C4×#6660C211yesmaximal, characteristic, complemented
14#11747054C211yesmaximal, characteristic, complemented
15#11746981C211yesmaximal, characteristic, complemented
16#10611508—31nomaximal, Hall
17C2×D4×D15C2211yescharacteristic
18C2×D15⋊Q8C2211yescharacteristic
19C3×C4×C5×D4C2211yescharacteristic
20D4×Dic15C2211yescharacteristic
21C4×#1220—21no—
22C2×#6714—21no—
23#91782C2211yescharacteristic
24#91781C2211yescharacteristic
25#91770—21no—
26C22⋊C4×D15—21no—
27C4×D60C2211yescharacteristic
28#91761C2211yescharacteristic
29C2×C5×#214C2211yescharacteristic
30C4×C5×Dic6C2211yescharacteristic, complemented
31C2×C3×#687C2211yescharacteristic
32C3×C4×Dic10C2211yescharacteristic, complemented
33#91487C418yescomplemented
34#91403—21no—
35#91402—21no—
36#91347C2211yescharacteristic
37#91344C2211yescharacteristic, complemented
38#91331C2211yescharacteristic, complemented
39#91324—21no—
40#91323—21no—
41C2×#6660C2211yescharacteristic
42C2×#6658C2211yescharacteristic
43C2×#6651C2211yescharacteristic
44C2×#6648C2211yescharacteristic
45C5×#832C2211yescharacteristic
46C5×#810C2211yescharacteristic, complemented
47C5×#807C2211yescharacteristic, complemented
48C5×#803C2211yescharacteristic, complemented
49C3×#3964C2211yescharacteristic
50C3×#3942C2211yescharacteristic, complemented
51C3×#3940C2211yescharacteristic, complemented
52C3×C4×#168C2211yescharacteristic, complemented
53#90990C2211yescharacteristic, complemented
54#90985C2211yescharacteristic, complemented
55#90973C2211yescharacteristic, complemented
56#90971C2211yescharacteristic, complemented
57#90969C2211yescharacteristic
58#90968C2211yescharacteristic
59#90954C2211yescharacteristic, complemented
60#90951C2211yescharacteristic, complemented
61#79649—51nomaximal, Hall
62C2×D5×SD16—31no—
63#65906—31no—
64#65879—31no—
65C5×#440—31no—
66#65453—31no—
67C4×#688—31no—
68C4×#687D311yescharacteristic, complemented
69#65178—31no—
70#65169—31no—
71#65091—31no—
72#65077—31no—
73#65059—31no—
74#65047—31no—
75#64999—31no—
76#64997—31no—
77C23×D15—21no—
78C2×C3×C5×D4C2311yescharacteristic
79C22×C3×C4×C5—21no—
80C2×#1220—21no—
81C22×Dic15—21no—
82D4×D15—22no—
83D4×D15C2×C414yes—
84C2×D60C2311yescharacteristic
85C2×C4×D15—21no—
86C2×C4×D15—21no—
87C2×C4×D15C2311yescharacteristic
88C2×C5×Dic6C2311yescharacteristic
89C2×C3×Dic10C2311yescharacteristic
90C2×#1204—21no—
91C2×#1200—21no—
92D15⋊Q8—22no—
93D15⋊Q8C2×C414yescomplemented
94C3×C5×C4⋊C4C2311yescharacteristic
95C3×C5×C22⋊C4—21no—
96C3×C42×C5C2311yescharacteristic
97#6719—21no—
98#6714—21no—
99#6714—21no—
100#6714—21no—
101#6714D411yescharacteristic
102#6714D411yescharacteristic
103C4⋊Dic15C2311yescharacteristic
104#6712D411yescharacteristic
105#6712D411yescharacteristic
106C4×Dic15—21no—
107C4×Dic15C2311yescharacteristic
108C5×#214C2×C414yescomplemented
109C5×C4⋊Dic3C2311yescharacteristic
110C5×Dic3⋊C4—21no—
111C4×C5×Dic3—21no—
112C2×C5×C3⋊C8C2311yescharacteristic
113C2×C5×C3⋊C8C2311yescharacteristic
114C3×#687C2×C414yescomplemented
115C3×C4⋊Dic5C2311yescharacteristic
116C3×#683—21no—
117C3×C4×Dic5—21no—
118C2×C3×#168C2311yescharacteristic
119C2×C3×#168C2311yescharacteristic
120Dic3⋊Dic5—21no—
121#6668—21no—
122#6667—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126#6660C2×C414yescomplemented
127#6658C2×C414yescomplemented
128#6651—22no—
129#6648C2×C414yescomplemented
130C2×D3×SD16—51no—
131#5572—51no—
132#5545—51no—
133C3×C4×SD16—51no—
134Dic3×SD16—51no—
135#5026—51no—
136#5018D511yescharacteristic, complemented
137#4860—51no—
138#4852—51no—
139#4817—51no—
140#4802—51no—
141#4770—51no—
142#4757—51no—
143C4×#204—51no—
144#4689—51no—
145C2×Q8×D5—31no—
146C2×D4×D5—31no—
147C2×C5×SD16—31no—
148C4×C5×Q8—31no—
149C4×C5×D4C2×D311yescharacteristic
150Q8×Dic5—31no—
151C2×#688—31no—
152D4×Dic5—31no—
153C2×#687C2×D311yescharacteristic
154C4×C22⋊D5—61no—
155C2×#685—61no—
156D5×SD16—38no—
157C2×#677—31no—
158C2×#676—31no—
159C2×C8×D5—31no—
160#4039—31no—
161#4038—31no—
162#4038—31no—
163#4038—61no—
164#4033—31no—
165#4033—61no—
166#4027—61no—
167D5×C22⋊C4—61no—
168C4×D20—31no—
169#4018—31no—
170#4018—61no—
171C4×Dic10—61no—
172C4×Dic10C2×D311yescharacteristic, complemented
173C5×#107—31no—
174C5×#103—31no—
175C5×#102—31no—
176C5×#97—31no—
177#3967—31no—
178#3964C2×D311yescharacteristic
179#3953—31no—
180#3950—31no—
181#3948—31no—
182#3947—31no—
183C8×Dic5—31no—
184#3942C2×D311yescharacteristic, complemented
185#3941—31no—
186#3940—31no—
187#3940C2×D311yescharacteristic, complemented
188C4×#168C2×D311yescharacteristic, complemented
189#2949—151noSylow
190C23×C3×C5—21no—
191C22×D15—21no—
192C22×D15—24no—
193C22×D15—81no—
194C22×D15—81no—
195C22×D15C2×D411yescharacteristic
196C3×C5×D4—21no—
197C3×C5×D4C22×C412yes—
198C2×C3×C4×C5—21no—
199C2×C3×C4×C5—81no—
200C2×C3×C4×C5C2×D411yescharacteristic
201C2×C3×C4×C5C2×D411yescharacteristic
202C2×C3×C4×C5C2411yescharacteristic
203#1220—24no—
204C2×Dic15—21no—
205C2×Dic15—81no—
206C2×Dic15C2×D411yescharacteristic
207C2×Dic15C2×D411yescharacteristic
208C2×Dic15C2×D411yescharacteristic
209D60—21no—
210D60C22×C412yes—
211C4×D15—81no—
212C4×D15—81no—
213C4×D15C22×C412yes—
214C4×D15#4112yes—
215C2×C5×Dic3—21no—
216C2×C5×Dic3—21no—
217C5×Dic6—21no—
218C5×Dic6C22×C412yes—
219C2×C3×Dic5—21no—
220C2×C3×Dic5—21no—
221C3×Dic10—21no—
222C3×Dic10C22×C412yes—
223#1204—24no—
224#1200—24no—
225C3×#168—21no—
226C3×#168C22×C412yes—
227C5×C3⋊C8—21no—
228C5×C3⋊C8C22×C412yes—
229C2×D3×Q8—51no—
230C2×D3×D4—51no—
231C2×C3×SD16—51no—
232C3×C4×Q8—51no—
233C3×C4×D4C2×D511yescharacteristic
234Q8×Dic3—51no—
235C2×#215—51no—
236D4×Dic3—51no—
237C2×#214C2×D511yescharacteristic
238C4×#67—101no—
239C2×(C2×D3)⋊C4—101no—
240D3×SD16—58no—
241C2×#204—51no—
242C2×ΓL(1,𝔽25)—51no—
243C2×D3×C8—51no—
244#893—51no—
245#892—51no—
246#892—51no—
247#892—101no—
248#887—51no—
249#887—101no—
250#67⋊C4—101no—
251D3×C22⋊C4—101no—
252C4×D12—51no—
253#872—51no—
254#872—101no—
255C4×Dic6—101no—
256C4×Dic6C2×D511yescharacteristic, complemented
257C3×#106—51no—
258C3×#103—51no—
259C3×#102—51no—
260C3×C4×C8—51no—
261#835—51no—
262#832C2×D511yescharacteristic
263#821—51no—
264#817—51no—
265#816—51no—
266#815—51no—
267C8×Dic3—51no—
268#810C2×D511yescharacteristic, complemented
269#809—51no—
270#807—51no—
271#807C2×D511yescharacteristic, complemented
272#803C2×D511yescharacteristic, complemented
273C23×D5—61no—
274C2×C5×Q8—31no—
275C2×C5×D4C22×D311yescharacteristic
276C22×C4×C5—21no—
277C2×C22⋊D5—61no—
278C22×Dic5—61no—
279Q8×D5—34no—
280Q8×D5—62no—
281D4×D5—34no—
282D4×D5—62no—
283C2×D20—31no—
284C2×C4×D5—31no—
285C2×C4×D5—61no—
286C2×C4×D5—61no—
287C2×C4×D5—61no—
288C2×Dic10—61no—
289C2×Dic10C22×D311yescharacteristic
290C5×SD16—34no—
291C2×C5×C8—31no—
292C2×C5×C8—31no—
293C5×C4⋊C4—31no—
294C5×C4⋊C4—61no—
295C5×C4⋊C4C22×D311yescharacteristic
296C5×C22⋊C4—21no—
297C42×C5—61no—
298C42×C5C22×D311yescharacteristic
299C22⋊Dic5—61no—
300#688—34no—
301#687C4×D314yescomplemented
302#685—31no—
303#685—31no—
304#685—61no—
305#685—61no—
306#685—61no—
307#685—61no—
308C4⋊Dic5—31no—
309C4⋊Dic5—61no—
310C4⋊Dic5C22×D311yescharacteristic
311#683—21no—
312#683—31no—
313#683—31no—
314#683—61no—
315C4×Dic5—21no—
316C4×Dic5—31no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C2×#168C22×D311yescharacteristic
322C2×#168C22×D311yescharacteristic
323#677—34no—
324#676—62no—
325C8×D5—34no—
326C22×SD16—151no—
327#519—151no—
328#518—151no—
329#440—31no—
330#440—151no—
331#440—151no—
332#440—151no—
333C4×SD16—51no—
334C4×SD16—151no—
335C4×SD16—151no—
336C4×SD16—151no—
337#427—151no—
338#419—151no—
339#418—151no—
340#405—151no—
341C22×C3×C5—22no—
342C22×C3×C5—41no—
343C22×C3×C5—41no—
344C22×C3×C5C22×D411yescharacteristic
345C2×D15—21no—
346C2×D15—21no—
347C2×D15—22no—
348C2×D15—41no—
349C2×D15—41no—
350C2×D15—84no—
351C2×D15C4×D412yes—
352C3×C4×C5—21no—
353C3×C4×C5—21no—
354C3×C4×C5—41no—
355C3×C4×C5C23×C411yescharacteristic
356C3×C4×C5C2×#4111yescharacteristic
357Dic15—21no—
358Dic15—21no—
359Dic15—41no—
360Dic15C4×D412yes—
361C3×Dic5—22no—
362C3×Dic5—41no—
363C5×Dic3—22no—
364C5×Dic3—41no—
365C23×D3—101no—
366C2×C3×Q8—51no—
367C2×C3×D4C22×D511yescharacteristic
368C22×C3×C4—21no—
369C2×#67—101no—
370C22×Dic3—101no—
371D3×Q8—54no—
372D3×Q8—102no—
373D3×D4—54no—
374D3×D4—102no—
375C2×D12—51no—
376C2×C4×D3—51no—
377C2×C4×D3—101no—
378C2×C4×D3—101no—
379C2×C4×D3—101no—
380C2×Dic6—101no—
381C2×Dic6C22×D511yescharacteristic
382C3×SD16—54no—
383C2×C3×C8—51no—
384C2×C3×C8—51no—
385C3×C4⋊C4—51no—
386C3×C4⋊C4—101no—
387C3×C4⋊C4C22×D511yescharacteristic
388C3×C22⋊C4—21no—
389C3×C42—101no—
390C3×C42C22×D511yescharacteristic
391#217—101no—
392#215—54no—
393#214C4×D514yescomplemented
394(C2×D3)⋊C4—51no—
395(C2×D3)⋊C4—51no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399(C2×D3)⋊C4—101no—
400C4⋊Dic3—51no—
401C4⋊Dic3—101no—
402C4⋊Dic3C22×D511yescharacteristic
403Dic3⋊C4—21no—
404Dic3⋊C4—51no—
405Dic3⋊C4—51no—
406Dic3⋊C4—101no—
407C4×Dic3—21no—
408C4×Dic3—51no—
409C4×Dic3—101no—
410C4×Dic3—101no—
411C4×Dic3—101no—
412C4×Dic3—101no—
413C2×C3⋊C8C22×D511yescharacteristic
414C2×C3⋊C8C22×D511yescharacteristic
415#204—54no—
416ΓL(1,𝔽25)—102no—
417D3×C8—54no—
418C23×C5—21no—
419C22×D5—31no—
420C22×D5—64no—
421C22×D5—61no—
422C22×D5—241no—
423C22×D5—241no—
424C5×Q8—32no—
425C5×Q8—61no—
426C5×D4—21no—
427C5×D4C2×C4×D312yes—
428C2×C4×C5—21no—
429C2×C4×C5—61no—
430C2×C4×C5—61no—
431C2×C4×C5—81no—
432C2×C4×C5D3×D411yescharacteristic
433C2×C4×C5D3×D411yescharacteristic
434C2×C4×C5C23×D311yescharacteristic
435C22⋊D5—64no—
436C2×Dic5—21no—
437C2×Dic5—21no—
438C2×Dic5—31no—
439C2×Dic5—31no—
440C2×Dic5—31no—
441C2×Dic5—61no—
442C2×Dic5—241no—
443D20—32no—
444D20—61no—
445C4×D5—32no—
446C4×D5—32no—
447C4×D5—64no—
448C4×D5—241no—
449C4×D5—241no—
450Dic10—21no—
451Dic10—64no—
452Dic10C2×C4×D312yes—
453C5×C8—32no—
454C5×C8—61no—
455#168—21no—
456#168C2×C4×D312yes—
457C22×Q8—151no—
458C22×D4—151no—
459C2×SD16—31no—
460C2×SD16—51no—
461C2×SD16—151no—
462C2×SD16—151no—
463C2×SD16—158no—
464C2×M16—151no—
465C22×C8—151no—
466C4×Q8—31no—
467C4×Q8—51no—
468C4×Q8—151no—
469C4×Q8—151no—
470C4×Q8—301no—
471C4×Q8—301no—
472C4×D4—151no—
473C4×D4—151no—
474C4×D4—151no—
475C4×D4—301no—
476C4×D4—301no—
477C4×D4D3×D511yescharacteristic
478#117—151no—
479#117—151no—
480#117—151no—
481#117—301no—
482#117—301no—
483C2×C22⋊C4—301no—
484C2×C22⋊C4—301no—
485#107—31no—
486#107—151no—
487#106—51no—
488#106—151no—
489#103—31no—
490#103—51no—
491#103—151no—
492#103—151no—
493#102—31no—
494#102—51no—
495#102—151no—
496#102—151no—
497#97—31no—
498#97—151no—
499C4×C8—51no—
500C4×C8—151no—
501C2×C3×C5—42no—
502C2×C3×C5C2×C4×D411yescharacteristic
503C2×C3×C5#57711yescharacteristic
504C2×C3×C5#57711yescharacteristic
505D15—22no—
506D15—42no—
507C23×C3—21no—
508C22×D3—51no—
509C22×D3—104no—
510C22×D3—101no—
511C22×D3—401no—
512C22×D3—401no—
513C3×Q8—52no—
514C3×Q8—101no—
515C3×D4—21no—
516C3×D4C2×C4×D512yes—
517C2×C3×C4—21no—
518C2×C3×C4—81no—
519C2×C3×C4—101no—
520C2×C3×C4—101no—
521C2×C3×C4D4×D511yescharacteristic
522C2×C3×C4D4×D511yescharacteristic
523C2×C3×C4C23×D511yescharacteristic
524#67—104no—
525C2×Dic3—21no—
526C2×Dic3—21no—
527C2×Dic3—51no—
528C2×Dic3—51no—
529C2×Dic3—51no—
530C2×Dic3—101no—
531C2×Dic3—401no—
532D12—52no—
533D12—101no—
534C4×D3—52no—
535C4×D3—52no—
536C4×D3—104no—
537C4×D3—401no—
538C4×D3—401no—
539Dic6—21no—
540Dic6—104no—
541Dic6C2×C4×D512yes—
542C3×C8—52no—
543C3×C8—101no—
544C3⋊C8—21no—
545C3⋊C8C2×C4×D512yes—
546C22×C5—22no—
547C22×C5—41no—
548C22×C5—41no—
549C22×C5C2×D3×D411yescharacteristic
550C2×D5—32no—
551C2×D5—61no—
552C2×D5—61no—
553C2×D5—62no—
554C2×D5—121no—
555C2×D5—121no—
556C2×D5—244no—
557C4×C5—21no—
558C4×C5—21no—
559C4×C5—41no—
560C4×C5—62no—
561C4×C5—121no—
562C4×C5C22×C4×D311yescharacteristic
563C4×C5D3×#4111yescharacteristic
564Dic5—22no—
565Dic5—32no—
566Dic5—41no—
567Dic5—61no—
568Dic5—61no—
569Dic5—121no—
570C24—301no—
571C2×Q8—31no—
572C2×Q8—51no—
573C2×Q8—154no—
574C2×Q8—301no—
575C2×Q8—302no—
576C2×D4—154no—
577C2×D4—151no—
578C2×D4—302no—
579C2×D4—301no—
580C2×D4C2×D3×D511yescharacteristic
581C22×C4—21no—
582C22×C4—151no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587SD16—34no—
588SD16—54no—
589SD16—154no—
590SD16—154no—
591M16—302no—
592C2×C8—31no—
593C2×C8—31no—
594C2×C8—51no—
595C2×C8—51no—
596C2×C8—154no—
597C4⋊C4—31no—
598C4⋊C4—51no—
599C4⋊C4—61no—
600C4⋊C4—101no—
601C4⋊C4—151no—
602C4⋊C4—151no—
603C4⋊C4—151no—
604C4⋊C4—301no—
605C4⋊C4—301no—
606C4⋊C4C2×D3×D511yescharacteristic
607C22⋊C4—21no—
608C22⋊C4—151no—
609C22⋊C4—151no—
610C22⋊C4—301no—
611C22⋊C4—301no—
612C22⋊C4—301no—
613C22⋊C4—301no—
614C22⋊C4—301no—
615C42—61no—
616C42—101no—
617C42—151no—
618C42—301no—
619C42—301no—
620C42—301no—
621C42—301no—
622C42C2×D3×D511yescharacteristic
623C3×C5#294911yescharacteristic, complemented, Hall
624C22×C3—22no—
625C22×C3—41no—
626C22×C3—41no—
627C22×C3C2×D4×D511yescharacteristic
628C2×D3—52no—
629C2×D3—101no—
630C2×D3—101no—
631C2×D3—102no—
632C2×D3—201no—
633C2×D3—201no—
634C2×D3—404no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—41no—
638C3×C4—102no—
639C3×C4—201no—
640C3×C4C22×C4×D511yescharacteristic
641C3×C4D5×#4111yescharacteristic
642Dic3—22no—
643Dic3—41no—
644Dic3—52no—
645Dic3—101no—
646Dic3—101no—
647Dic3—201no—
648C2×C5—42no—
649C2×C5C4×D3×D411yescharacteristic
650C2×C5#576211yescharacteristic
651C2×C5#577011yescharacteristic
652D5—62no—
653D5—122no—
654C23—21no—
655C23—151no—
656C23—304no—
657C23—301no—
658C23—1201no—
659C23—1201no—
660Q8—32no—
661Q8—52no—
662Q8—61no—
663Q8—101no—
664Q8—304no—
665D4—21no—
666D4—152no—
667D4—304no—
668D4—301no—
669D4C4×D3×D512yes—
670C2×C4—21no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—81no—
674C2×C4—101no—
675C2×C4—101no—
676C2×C4—151no—
677C2×C4—152no—
678C2×C4—152no—
679C2×C4—151no—
680C2×C4—151no—
681C2×C4—304no—
682C2×C4—301no—
683C2×C4—1201no—
684C2×C4—1201no—
685C2×C4—1201no—
686C2×C4#679011yescharacteristic
687C2×C4#679011yescharacteristic
688C2×C4C22×D3×D511yescharacteristic
689C8—32no—
690C8—52no—
691C8—61no—
692C8—101no—
693C2×C3—42no—
694C2×C3C4×D4×D511yescharacteristic
695C2×C3#6610911yescharacteristic
696C2×C3#6611211yescharacteristic
697D3—102no—
698D3—202no—
699C5#7964911yescharacteristic, complemented, Sylow
700C22—22no—
701C22—41no—
702C22—41no—
703C22—152no—
704C22—301no—
705C22—301no—
706C22—302no—
707C22—601no—
708C22—601no—
709C22—1204no—
710C22C2×#679011yescharacteristic
711C4—21no—
712C4—21no—
713C4—41no—
714C4—62no—
715C4—102no—
716C4—121no—
717C4—152no—
718C4—201no—
719C4—301no—
720C4—301no—
721C4—601no—
722C4C2×C4×D3×D511yescharacteristic
723C4#9201611yescharacteristic
724C3#1061150811yescharacteristic, complemented, Sylow
725C2—42no—
726C2—302no—
727C2—602no—
728C2C4×#679011yescharacteristic
729C2#1175472811yescharacteristic
730C2#1175535111yescharacteristic
subgroupG/H
centerC22C2×#6790
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×D4C22
socleC22×C3×C5C22×D4
prime radicalC2×D4×D15C22
cosocleC2×C3×C4×C5C24
hypercenterC4×D4D3×D5
hypocenterC3×C5#2949
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
3. #11752460C2semidirect
4. C5×#5018C2semidirect
5. C3×C4×#687C2semidirect
6. #11749020C2semidirect
7. #11749017C2semidirect
9. #11747491C2semidirect
10. #11747440C2semidirect
11. #11747279C2semidirect
12. #11747273C2semidirect
13. C4×#6660C2semidirect
14. #11747054C2semidirect
15. #11746981C2semidirect
30. C4×C5×Dic6C22semidirect
32. C3×C4×Dic10C22semidirect
33. #91487C4semidirect
37. #91344C22semidirect
38. #91331C22semidirect
46. C5×#810C22semidirect
47. C5×#807C22semidirect
48. C5×#803C22semidirect
50. C3×#3942C22semidirect
51. C3×#3940C22semidirect
52. C3×C4×#168C22semidirect
53. #90990C22semidirect
54. #90985C22semidirect
55. #90973C22semidirect
56. #90971C22semidirect
59. #90954C22semidirect
60. #90951C22semidirect
68. C4×#687D3semidirect
93. D15⋊Q8C2×C4semidirect
108. C5×#214C2×C4semidirect
114. C3×#687C2×C4semidirect
126. #6660C2×C4semidirect
127. #6658C2×C4semidirect
129. #6648C2×C4semidirect
136. #5018D5semidirect
172. C4×Dic10C2×D3semidirect
184. #3942C2×D3semidirect
187. #3940C2×D3semidirect
188. C4×#168C2×D3semidirect
256. C4×Dic6C2×D5semidirect
268. #810C2×D5semidirect
271. #807C2×D5semidirect
272. #803C2×D5semidirect
301. #687C4×D3semidirect
393. #214C4×D5semidirect
623. C3×C5#2949semidirect
699. C5#79649semidirect
724. C3#10611508semidirect

Maximal subgroups

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

subgroupindex
#117563042
C2×#914872
#117524602
C5×#50182
C3×C4×#6872
#117490202
#117490172
#117489722
#117474912
#117474402
#117472792
#117472732
C4×#66602
#117470542
#117469812
#106115083
#796495