Finite Group Databasebeta

← #14417455

Subgroups — #14417455

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#11756331C211yesmaximal, characteristic, complemented
2C2×#91505C211yesmaximal, characteristic
3#11752729C211yesmaximal, characteristic
4C4×C5×#215C211yesmaximal, characteristic, complemented
5C3×#65315C211yesmaximal, characteristic, complemented
6#11749241C211yesmaximal, characteristic, complemented
7#11749240C211yesmaximal, characteristic, complemented
8#11749218C211yesmaximal, characteristic, complemented
9#11747479C211yesmaximal, characteristic
10#11747439C211yesmaximal, characteristic, complemented
11#11747235C211yesmaximal, characteristic, complemented
12#11747227C211yesmaximal, characteristic, complemented
13#11747056C211yesmaximal, characteristic, complemented
14C4×#6657C211yesmaximal, characteristic, complemented
15#11746982C211yesmaximal, characteristic, complemented
16#10611380—31nomaximal, Hall
17C2×Q8×D15C2211yescharacteristic
18C2×#6777C2211yescharacteristic
19C3×C4×C5×Q8C2211yescharacteristic, complemented
20Q8×Dic15C2211yescharacteristic, complemented
21#91781—21no—
22#91781C2211yescharacteristic
23#91776—21no—
24#91776C2211yescharacteristic, complemented
25#91761—21no—
26#91761C2211yescharacteristic
27C4×Dic30—21no—
28C4×Dic30C2211yescharacteristic, complemented
29C2×C5×#215C2211yescharacteristic
30C4×C5×D12C2211yescharacteristic
31C2×C3×#688C2211yescharacteristic
32C3×C4×D20C2211yescharacteristic
33#91505C418yescomplemented
34D3×#685—21no—
35D5×(C2×D3)⋊C4—21no—
36#91441—21no—
37#91440—21no—
38#91435C2211yescharacteristic
39#91434C2211yescharacteristic
40#91347C2211yescharacteristic
41C2×#6659C2211yescharacteristic
42C2×#6657C2211yescharacteristic
43C2×#6651C2211yescharacteristic
44C2×#6648C2211yescharacteristic
45C5×#835C2211yescharacteristic, complemented
46C5×#809C2211yescharacteristic
47C5×#808C2211yescharacteristic, complemented
48C4×C5×C3⋊C8C2211yescharacteristic, complemented
49C3×#3967C2211yescharacteristic, complemented
50C3×#3941C2211yescharacteristic
51C3×#3939C2211yescharacteristic, complemented
52C3×#3935C2211yescharacteristic, complemented
53#90988C2211yescharacteristic, complemented
54#90987C2211yescharacteristic, complemented
55#90975C2211yescharacteristic, complemented
56#90974C2211yescharacteristic, complemented
57#90967C2211yescharacteristic
58#90965C2211yescharacteristic
59#90954C2211yescharacteristic, complemented
60#90951C2211yescharacteristic, complemented
61#79777—51nomaximal, Hall
62C2×D5×SD16—31no—
63#65906—31no—
64#65879—31no—
65C4×C5×SD16—31no—
66SD16×Dic5—31no—
67#65315D311yescharacteristic, complemented
68#65307—31no—
69#65149—31no—
70#65141—31no—
71#65106—31no—
72#65091—31no—
73#65059—31no—
74#65046—31no—
75C4×#677—31no—
76#64978—31no—
77C22×D3×D5—21no—
78C2×C3×C5×Q8C2311yescharacteristic
79Q8×D15—22no—
80Q8×D15C2×C414yescomplemented
81C2×C4×D15—21no—
82C2×C4×D15C2311yescharacteristic
83C2×Dic30—21no—
84C2×Dic30C2311yescharacteristic
85C2×C5×D12C2311yescharacteristic
86C2×C4×C5×D3—21no—
87C2×C3×D20C2311yescharacteristic
88C2×C3×C4×D5—21no—
89C2×#1201—21no—
90C2×D3×Dic5—21no—
91C2×D5×Dic3—21no—
92#6777—22no—
93#6777C2×C414yes—
94C3×C5×C4⋊C4—21no—
95C3×C5×C4⋊C4C2311yescharacteristic
96C3×C42×C5—21no—
97C3×C42×C5C2311yescharacteristic
98#6714—21no—
99#6714D411yescharacteristic
100#6714D411yescharacteristic
101C4⋊Dic15—21no—
102C4⋊Dic15C2311yescharacteristic
103#6712—21no—
104#6712—21no—
105#6712D411yescharacteristic
106#6712D411yescharacteristic
107C4×Dic15—21no—
108C4×Dic15—21no—
109C4×Dic15—21no—
110C4×Dic15—21no—
111C4×Dic15C2311yescharacteristic
112C5×#215C2×C414yescomplemented
113C5×(C2×D3)⋊C4—21no—
114C5×C4⋊Dic3C2311yescharacteristic
115C2×C5×C3⋊C8C2311yescharacteristic
116C2×C5×C3⋊C8C2311yescharacteristic
117C3×#688C2×C414yescomplemented
118C3×#685—21no—
119C3×C4⋊Dic5C2311yescharacteristic
120C2×C3×#168C2311yescharacteristic
121C2×C3×#168C2311yescharacteristic
122#6667—21no—
123(C2×D3)⋊Dic5—21no—
124#6665—21no—
125Dic3×Dic5—21no—
126#6659C2×C414yescomplemented
127#6657C2×C414yescomplemented
128#6651—22no—
129#6648C2×C414yescomplemented
130C2×D3×SD16—51no—
131#5572—51no—
132#5545—51no—
133C3×#440—51no—
134#5164—51no—
135C4×#215D511yescharacteristic, complemented
136C4×#214—51no—
137#4889—51no—
138#4880—51no—
139#4802—51no—
140#4788—51no—
141#4770—51no—
142#4758—51no—
143#4710—51no—
144#4708—51no—
145C2×Q8×D5—31no—
146C2×D4×D5—31no—
147C2×C5×SD16—31no—
148C4×C5×Q8C2×D311yescharacteristic, complemented
149C4×C5×D4—31no—
150Q8×Dic5—31no—
151C2×#688C2×D311yescharacteristic
152D4×Dic5—31no—
153C2×#687—31no—
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×D20C2×D311yescharacteristic
169#4018—31no—
170#4018—61no—
171C4×Dic10—31no—
172C4×Dic10—61no—
173C5×#106—31no—
174C5×#103—31no—
175C5×#102—31no—
176C4×C5×C8—31no—
177#3967C2×D311yescharacteristic, complemented
178#3964—31no—
179#3953—31no—
180#3949—31no—
181#3948—31no—
182#3947—31no—
183C8×Dic5—31no—
184#3942—31no—
185#3941C2×D311yescharacteristic
186#3939—31no—
187#3939C2×D311yescharacteristic, complemented
188#3935C2×D311yescharacteristic, complemented
189#2949—151noSylow
190C22×D15C2×D411yescharacteristic
191C22×C5×D3—21no—
192C22×C3×D5—21no—
193C2×D3×D5—24no—
194C2×D3×D5—81no—
195C2×D3×D5—81no—
196C3×C5×Q8—21no—
197C3×C5×Q8C22×C412yes—
198C2×C3×C4×C5—21no—
199C2×C3×C4×C5—21no—
200C2×C3×C4×C5C2×D411yescharacteristic
201C2×C3×C4×C5C2×D411yescharacteristic
202C2×C3×C4×C5C2411yescharacteristic
203C2×Dic15—21no—
204C2×Dic15—21no—
205C2×Dic15C2×D411yescharacteristic
206C2×Dic15C2×D411yescharacteristic
207C2×Dic15C2×D411yescharacteristic
208C4×D15—24no—
209C4×D15C22×C412yes—
210C4×D15#4112yes—
211Dic30—21no—
212Dic30—24no—
213Dic30C22×C412yes—
214C2×C5×Dic3—21no—
215C5×D12—21no—
216C5×D12C22×C412yes—
217C4×C5×D3—81no—
218C2×C3×Dic5—21no—
219C3×D20—21no—
220C3×D20C22×C412yes—
221C3×C4×D5—81no—
222#1201—24no—
223D3×Dic5—81no—
224D5×Dic3—81no—
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×Q8C2×D511yescharacteristic, complemented
233C3×C4×D4—51no—
234Q8×Dic3—51no—
235C2×#215C2×D511yescharacteristic
236D4×Dic3—51no—
237C2×#214—51no—
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×D12C2×D511yescharacteristic
253#872—51no—
254#872—101no—
255C4×Dic6—51no—
256C4×Dic6—101no—
257C3×#107—51no—
258C3×#103—51no—
259C3×#102—51no—
260C3×#97—51no—
261#835C2×D511yescharacteristic, complemented
262#832—51no—
263#821—51no—
264#818—51no—
265#816—51no—
266#815—51no—
267C8×Dic3—51no—
268#810—51no—
269#809C2×D511yescharacteristic
270#808—51no—
271#808C2×D511yescharacteristic, complemented
272C4×C3⋊C8C2×D511yescharacteristic, complemented
273C23×D5—61no—
274C2×C5×Q8C22×D311yescharacteristic
275C2×C5×D4—31no—
276C22×C4×C5—61no—
277C2×C22⋊D5—61no—
278C22×Dic5—61no—
279Q8×D5—34no—
280Q8×D5—62no—
281D4×D5—34no—
282D4×D5—62no—
283C2×D20C22×D311yescharacteristic
284C2×C4×D5—21no—
285C2×C4×D5—31no—
286C2×C4×D5—61no—
287C2×C4×D5—61no—
288C2×Dic10—31no—
289C2×Dic10—61no—
290C5×SD16—34no—
291C2×C5×C8—31no—
292C2×C5×C8—31no—
293C5×C4⋊C4—21no—
294C5×C4⋊C4—31no—
295C5×C4⋊C4C22×D311yescharacteristic
296C5×C22⋊C4—61no—
297C42×C5—21no—
298C42×C5C22×D311yescharacteristic
299C22⋊Dic5—61no—
300#688C4×D314yescomplemented
301#687—34no—
302#685—21no—
303#685—31no—
304#685—31no—
305#685—61no—
306#685—61no—
307#685—61no—
308C4⋊Dic5—31no—
309C4⋊Dic5—61no—
310C4⋊Dic5C22×D311yescharacteristic
311#683—31no—
312#683—31no—
313#683—61no—
314#683—61no—
315C4×Dic5—31no—
316C4×Dic5—61no—
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—51no—
330#440—151no—
331#440—151no—
332#440—151no—
333C4×SD16—31no—
334C4×SD16—151no—
335C4×SD16—151no—
336C4×SD16—151no—
337#427—151no—
338#419—151no—
339#418—151no—
340#405—151no—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—21no—
343C2×D15—21no—
344C2×D15C4×D412yes—
345C2×C5×D3—22no—
346C2×C5×D3—41no—
347C2×C5×D3—41no—
348C2×C3×D5—22no—
349C2×C3×D5—41no—
350C2×C3×D5—41no—
351D3×D5—84no—
352C3×C4×C5—22no—
353C3×C4×C5—21no—
354C3×C4×C5—21no—
355C3×C4×C5—41no—
356C3×C4×C5C23×C411yescharacteristic
357C3×C4×C5C2×#4111yescharacteristic
358Dic15—22no—
359Dic15—21no—
360Dic15—21no—
361Dic15—41no—
362Dic15C4×D412yes—
363C3×Dic5—41no—
364C5×Dic3—41no—
365C23×D3—101no—
366C2×C3×Q8C22×D511yescharacteristic
367C2×C3×D4—51no—
368C22×C3×C4—101no—
369C2×#67—101no—
370C22×Dic3—101no—
371D3×Q8—54no—
372D3×Q8—102no—
373D3×D4—54no—
374D3×D4—102no—
375C2×D12C22×D511yescharacteristic
376C2×C4×D3—21no—
377C2×C4×D3—51no—
378C2×C4×D3—101no—
379C2×C4×D3—101no—
380C2×Dic6—51no—
381C2×Dic6—101no—
382C3×SD16—54no—
383C2×C3×C8—51no—
384C2×C3×C8—51no—
385C3×C4⋊C4—21no—
386C3×C4⋊C4—51no—
387C3×C4⋊C4C22×D511yescharacteristic
388C3×C22⋊C4—101no—
389C3×C42—21no—
390C3×C42C22×D511yescharacteristic
391#217—101no—
392#215C4×D514yescomplemented
393#214—54no—
394(C2×D3)⋊C4—21no—
395(C2×D3)⋊C4—51no—
396(C2×D3)⋊C4—51no—
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—51no—
404Dic3⋊C4—51no—
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407C4×Dic3—51no—
408C4×Dic3—101no—
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—61no—
419C22×D5—21no—
420C22×D5—31no—
421C22×D5—64no—
422C22×D5—241no—
423C22×D5—241no—
424C5×Q8—21no—
425C5×Q8C2×C4×D312yes—
426C5×D4—32no—
427C5×D4—61no—
428C2×C4×C5—21no—
429C2×C4×C5—21no—
430C2×C4×C5—61no—
431C2×C4×C5—241no—
432C2×C4×C5D3×D411yescharacteristic
433C2×C4×C5D3×D411yescharacteristic
434C2×C4×C5C23×D311yescharacteristic
435C22⋊D5—64no—
436C2×Dic5—21no—
437C2×Dic5—31no—
438C2×Dic5—31no—
439C2×Dic5—31no—
440C2×Dic5—61no—
441C2×Dic5—61no—
442C2×Dic5—241no—
443D20—21no—
444D20C2×C4×D312yes—
445C4×D5—32no—
446C4×D5—32no—
447C4×D5—64no—
448C4×D5—81no—
449C4×D5—241no—
450Dic10—32no—
451Dic10—64no—
452Dic10—61no—
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—151no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×Q8—301no—
470C4×Q8—301no—
471C4×Q8D3×D511yescharacteristic, complemented
472C4×D4—31no—
473C4×D4—51no—
474C4×D4—151no—
475C4×D4—151no—
476C4×D4—301no—
477C4×D4—301no—
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—51no—
486#107—151no—
487#106—31no—
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—51no—
498#97—151no—
499C4×C8—31no—
500C4×C8—151no—
501C2×C3×C5C2×C4×D411yescharacteristic
502C2×C3×C5#57711yescharacteristic
503C2×C3×C5#57711yescharacteristic
504D15—22no—
505C3×D5—42no—
506C5×D3—42no—
507C23×C3—101no—
508C22×D3—21no—
509C22×D3—51no—
510C22×D3—104no—
511C22×D3—401no—
512C22×D3—401no—
513C3×Q8—21no—
514C3×Q8C2×C4×D512yes—
515C3×D4—52no—
516C3×D4—101no—
517C2×C3×C4—21no—
518C2×C3×C4—21no—
519C2×C3×C4—101no—
520C2×C3×C4—401no—
521C2×C3×C4D4×D511yescharacteristic
522C2×C3×C4D4×D511yescharacteristic
523C2×C3×C4C23×D511yescharacteristic
524#67—104no—
525C2×Dic3—21no—
526C2×Dic3—51no—
527C2×Dic3—51no—
528C2×Dic3—51no—
529C2×Dic3—101no—
530C2×Dic3—101no—
531C2×Dic3—401no—
532D12—21no—
533D12C2×C4×D512yes—
534C4×D3—52no—
535C4×D3—52no—
536C4×D3—81no—
537C4×D3—104no—
538C4×D3—401no—
539Dic6—52no—
540Dic6—104no—
541Dic6—101no—
542C3×C8—52no—
543C3×C8—101no—
544C3⋊C8—21no—
545C3⋊C8C2×C4×D512yes—
546C22×C5—62no—
547C22×C5—121no—
548C22×C5—121no—
549C22×C5C2×D3×D411yescharacteristic
550C2×D5—22no—
551C2×D5—32no—
552C2×D5—41no—
553C2×D5—41no—
554C2×D5—61no—
555C2×D5—61no—
556C2×D5—244no—
557C4×C5—21no—
558C4×C5—21no—
559C4×C5—22no—
560C4×C5—41no—
561C4×C5—121no—
562C4×C5C22×C4×D311yescharacteristic
563C4×C5D3×#4111yescharacteristic
564Dic5—32no—
565Dic5—41no—
566Dic5—61no—
567Dic5—61no—
568Dic5—62no—
569Dic5—121no—
570C24—301no—
571C2×Q8—154no—
572C2×Q8—151no—
573C2×Q8—301no—
574C2×Q8—302no—
575C2×Q8C2×D3×D511yescharacteristic
576C2×D4—31no—
577C2×D4—51no—
578C2×D4—154no—
579C2×D4—302no—
580C2×D4—301no—
581C22×C4—61no—
582C22×C4—101no—
583C22×C4—151no—
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—21no—
598C4⋊C4—31no—
599C4⋊C4—51no—
600C4⋊C4—151no—
601C4⋊C4—151no—
602C4⋊C4—151no—
603C4⋊C4—301no—
604C4⋊C4—301no—
605C4⋊C4—301no—
606C4⋊C4C2×D3×D511yescharacteristic
607C22⋊C4—61no—
608C22⋊C4—101no—
609C22⋊C4—151no—
610C22⋊C4—151no—
611C22⋊C4—301no—
612C22⋊C4—301no—
613C22⋊C4—301no—
614C22⋊C4—301no—
615C42—21no—
616C42—151no—
617C42—301no—
618C42—301no—
619C42—301no—
620C42—301no—
621C42—301no—
622C42C2×D3×D511yescharacteristic
623C3×C5#294911yescharacteristic, complemented, Hall
624C22×C3—102no—
625C22×C3—201no—
626C22×C3—201no—
627C22×C3C2×D4×D511yescharacteristic
628C2×D3—22no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—52no—
632C2×D3—101no—
633C2×D3—101no—
634C2×D3—404no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—22no—
638C3×C4—41no—
639C3×C4—201no—
640C3×C4C22×C4×D511yescharacteristic
641C3×C4D5×#4111yescharacteristic
642Dic3—41no—
643Dic3—52no—
644Dic3—101no—
645Dic3—101no—
646Dic3—102no—
647Dic3—201no—
648C2×C5—122no—
649C2×C5C4×D3×D411yescharacteristic
650C2×C5#577511yescharacteristic
651C2×C5#577811yescharacteristic
652D5—42no—
653D5—62no—
654C23—61no—
655C23—101no—
656C23—151no—
657C23—304no—
658C23—1201no—
659C23—1201no—
660Q8—21no—
661Q8—152no—
662Q8—304no—
663Q8—301no—
664Q8C4×D3×D512yes—
665D4—32no—
666D4—52no—
667D4—61no—
668D4—101no—
669D4—304no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—61no—
673C2×C4—101no—
674C2×C4—151no—
675C2×C4—152no—
676C2×C4—152no—
677C2×C4—151no—
678C2×C4—151no—
679C2×C4—241no—
680C2×C4—304no—
681C2×C4—301no—
682C2×C4—301no—
683C2×C4—401no—
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—202no—
694C2×C3C4×D4×D511yescharacteristic
695C2×C3#6609611yescharacteristic
696C2×C3#6610411yescharacteristic
697D3—42no—
698D3—102no—
699C5#7977711yescharacteristic, complemented, Sylow
700C22—62no—
701C22—102no—
702C22—121no—
703C22—121no—
704C22—152no—
705C22—201no—
706C22—201no—
707C22—301no—
708C22—301no—
709C22—1204no—
710C22C2×#679011yescharacteristic
711C4—21no—
712C4—21no—
713C4—22no—
714C4—41no—
715C4—121no—
716C4—152no—
717C4—201no—
718C4—301no—
719C4—301no—
720C4—302no—
721C4—601no—
722C4C2×C4×D3×D511yescharacteristic
723C4#9201611yescharacteristic
724C3#1061138011yescharacteristic, complemented, Sylow
725C2—122no—
726C2—202no—
727C2—302no—
728C2C4×#679011yescharacteristic
729C2#1175509811yescharacteristic
730C2#1175533111yescharacteristic
subgroupG/H
centerC22C2×#6790
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×Q8C22
socleC22×C3×C5C22×D4
prime radicalC2×#6777C22
cosocleC2×C3×C4×C5C24
hypercenterC4×Q8D3×D5
hypocenterC3×C5#2949
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. #11756331C2semidirect
4. C4×C5×#215C2semidirect
5. C3×#65315C2semidirect
6. #11749241C2semidirect
7. #11749240C2semidirect
8. #11749218C2semidirect
10. #11747439C2semidirect
11. #11747235C2semidirect
12. #11747227C2semidirect
13. #11747056C2semidirect
14. C4×#6657C2semidirect
15. #11746982C2semidirect
19. C3×C4×C5×Q8C22semidirect
20. Q8×Dic15C22semidirect
24. #91776C22semidirect
28. C4×Dic30C22semidirect
33. #91505C4semidirect
45. C5×#835C22semidirect
47. C5×#808C22semidirect
48. C4×C5×C3⋊C8C22semidirect
49. C3×#3967C22semidirect
51. C3×#3939C22semidirect
52. C3×#3935C22semidirect
53. #90988C22semidirect
54. #90987C22semidirect
55. #90975C22semidirect
56. #90974C22semidirect
59. #90954C22semidirect
60. #90951C22semidirect
67. #65315D3semidirect
80. Q8×D15C2×C4semidirect
112. C5×#215C2×C4semidirect
117. C3×#688C2×C4semidirect
126. #6659C2×C4semidirect
127. #6657C2×C4semidirect
129. #6648C2×C4semidirect
135. C4×#215D5semidirect
148. C4×C5×Q8C2×D3semidirect
177. #3967C2×D3semidirect
187. #3939C2×D3semidirect
188. #3935C2×D3semidirect
232. C3×C4×Q8C2×D5semidirect
261. #835C2×D5semidirect
271. #808C2×D5semidirect
272. C4×C3⋊C8C2×D5semidirect
300. #688C4×D3semidirect
392. #215C4×D5semidirect
471. C4×Q8D3×D5semidirect
623. C3×C5#2949semidirect
699. C5#79777semidirect
724. C3#10611380semidirect

Maximal subgroups

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

subgroupindex
#117563312
C2×#915052
#117527292
C4×C5×#2152
C3×#653152
#117492412
#117492402
#117492182
#117474792
#117474392
#117472352
#117472272
#117470562
C4×#66572
#117469822
#106113803
#797775