Finite Group Databasebeta

← #14417443

Subgroups — #14417443

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
1C2×SD16×D15C211yesmaximal, characteristic
2#11755124C211yesmaximal, characteristic, complemented
3#11754922C211yesmaximal, characteristic
4C5×Dic3×SD16C211yesmaximal, characteristic, complemented
5C3×SD16×Dic5C211yesmaximal, characteristic, complemented
6#11749235C211yesmaximal, characteristic, complemented
7#11749225C211yesmaximal, characteristic, complemented
8#11749218C211yesmaximal, characteristic, complemented
9#11749014C211yesmaximal, characteristic, complemented
10#11749004C211yesmaximal, characteristic, complemented
11#11748972C211yesmaximal, characteristic
12#11747789C211yesmaximal, characteristic, complemented
13#11747760C211yesmaximal, characteristic, complemented
14#11747687C211yesmaximal, characteristic, complemented
15#11747657C211yesmaximal, characteristic, complemented
16#10611380—31nomaximal, Hall
17C2×Q8×D15C2211yescharacteristic
18C2×D4×D15C2211yescharacteristic
19C2×C3×C5×SD16C2211yescharacteristic
20C2×#6717C2211yescharacteristic
21C2×#6716C2211yescharacteristic
22SD16×D15C418yescomplemented
23C2×#6706C2211yescharacteristic
24C2×C8×D15C2211yescharacteristic
25C5×Q8×Dic3C2211yescharacteristic, complemented
26C5×D4×Dic3C2211yescharacteristic
27C3×Q8×Dic5C2211yescharacteristic, complemented
28C3×D4×Dic5C2211yescharacteristic
29#91561—21no—
30#91556—21no—
31#91552—21no—
32C2×#6667—21no—
33#91428C2211yescharacteristic
34#91418C2211yescharacteristic
35#91386—21no—
36#91386C2211yescharacteristic
37#91347—21no—
38#91347C2211yescharacteristic
39#91347C2211yescharacteristic
40#91340—21no—
41#91340C2211yescharacteristic, complemented
42#91333—21no—
43#91333C2211yescharacteristic, complemented
44C2×#6651C2211yescharacteristic
45C5×#835C2211yescharacteristic, complemented
46C5×#832C2211yescharacteristic
47C5×#817C2211yescharacteristic, complemented
48C5×C8×Dic3C2211yescharacteristic, complemented
49C3×#3967C2211yescharacteristic, complemented
50C3×#3964C2211yescharacteristic
51C3×#3949C2211yescharacteristic, complemented
52C3×C8×Dic5C2211yescharacteristic, complemented
53#90989C2211yescharacteristic, complemented
54#90989C2211yescharacteristic, complemented
55#90975C2211yescharacteristic, complemented
56#90974C2211yescharacteristic, complemented
57#90969C2211yescharacteristic
58#90968C2211yescharacteristic
59#90953C2211yescharacteristic, complemented
60#90952C2211yescharacteristic, complemented
61#79649—51nomaximal, Hall
62C2×D5×SD16—31no—
63#65906—31no—
64#65879—31no—
65C4×C5×SD16—31no—
66SD16×Dic5D311yescharacteristic, complemented
67#65315—31no—
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—
77C23×D15—21no—
78C2×C3×C5×Q8C2311yescharacteristic
79C2×C3×C5×D4C2311yescharacteristic
80C2×#1220—21no—
81Q8×D15—22no—
82Q8×D15C2×C414yescomplemented
83D4×D15—22no—
84D4×D15C2×C414yes—
85C2×D60C2311yescharacteristic
86C2×C4×D15—21no—
87C2×C4×D15C2311yescharacteristic
88C2×Dic30—21no—
89C2×Dic30C2311yescharacteristic
90C22×C5×Dic3—21no—
91C22×C3×Dic5—21no—
92C2×#1200—21no—
93C2×#1200—21no—
94C3×C5×SD16C2×C414yescomplemented
95C2×C3×C5×C8C2311yescharacteristic
96#6717C2×C414yescomplemented
97#6716C2×C414yescomplemented
98C2×C3⋊#168C2311yescharacteristic
99#6706C2×C414yescomplemented
100C8×D15C2×C414yescomplemented
101C5×#217—21no—
102C5×C4⋊Dic3—21no—
103C5×C4⋊Dic3C2311yescharacteristic
104C5×C4⋊Dic3C2311yescharacteristic
105C4×C5×Dic3—21no—
106C4×C5×Dic3C2311yescharacteristic
107C2×C5×C3⋊C8C2311yescharacteristic
108C3×C22⋊Dic5—21no—
109C3×C4⋊Dic5—21no—
110C3×C4⋊Dic5C2311yescharacteristic
111C3×C4⋊Dic5C2311yescharacteristic
112C3×C4×Dic5—21no—
113C3×C4×Dic5C2311yescharacteristic
114C2×C3×#168C2311yescharacteristic
115#6669—21no—
116#6669—21no—
117#6669D411yescharacteristic
118#6669D411yescharacteristic
119#6667—21no—
120#6667—21no—
121#6667—21no—
122#6667—21no—
123#6667D411yescharacteristic
124#6667D411yescharacteristic
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127Dic3×Dic5—21no—
128Dic3×Dic5—21no—
129#6651—22no—
130C2×D3×SD16—51no—
131#5572—51no—
132#5545—51no—
133C3×C4×SD16—51no—
134Dic3×SD16D511yescharacteristic, complemented
135#5026—51no—
136#5018—51no—
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×SD16C2×D311yescharacteristic
148C4×C5×Q8—31no—
149C4×C5×D4—31no—
150Q8×Dic5C2×D311yescharacteristic, complemented
151C2×#688—31no—
152D4×Dic5C2×D311yescharacteristic
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×D20—31no—
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#3964C2×D311yescharacteristic
179#3953—31no—
180#3949C2×D311yescharacteristic, complemented
181#3948—31no—
182#3947—31no—
183C8×Dic5C2×D311yescharacteristic, complemented
184#3942—31no—
185#3941—31no—
186#3939—31no—
187#3939—31no—
188#3935—31no—
189#2949—151noSylow
190C23×C3×C5—21no—
191C22×D15—21no—
192C22×D15—24no—
193C22×D15—81no—
194C22×D15—81no—
195C22×D15C2×D411yescharacteristic
196C3×C5×Q8—21no—
197C3×C5×Q8C22×C412yes—
198C3×C5×D4—21no—
199C3×C5×D4C22×C412yes—
200C2×C3×C4×C5—21no—
201C2×C3×C4×C5C2411yescharacteristic
202#1220—24no—
203C2×Dic15—21no—
204C2×Dic15C2×D411yescharacteristic
205D60—21no—
206D60C22×C412yes—
207C4×D15—24no—
208C4×D15C22×C412yes—
209C4×D15#4112yes—
210Dic30—21no—
211Dic30—24no—
212Dic30C22×C412yes—
213C2×C5×Dic3—21no—
214C2×C5×Dic3—21no—
215C2×C5×Dic3—81no—
216C2×C5×Dic3C2×D411yescharacteristic
217C2×C5×Dic3C2×D411yescharacteristic
218C2×C3×Dic5—21no—
219C2×C3×Dic5—21no—
220C2×C3×Dic5—81no—
221C2×C3×Dic5C2×D411yescharacteristic
222C2×C3×Dic5C2×D411yescharacteristic
223#1200—81no—
224#1200—81no—
225C3×C5×C8C22×C412yes—
226C3⋊#168C22×C412yes—
227C3×#168—21no—
228C5×C3⋊C8—21no—
229C2×D3×Q8—51no—
230C2×D3×D4—51no—
231C2×C3×SD16C2×D511yescharacteristic
232C3×C4×Q8—51no—
233C3×C4×D4—51no—
234Q8×Dic3C2×D511yescharacteristic, complemented
235C2×#215—51no—
236D4×Dic3C2×D511yescharacteristic
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×D12—51no—
253#872—51no—
254#872—101no—
255C4×Dic6—51no—
256C4×Dic6—101no—
257C3×#106—51no—
258C3×#103—51no—
259C3×#102—51no—
260C3×C4×C8—51no—
261#835C2×D511yescharacteristic, complemented
262#832C2×D511yescharacteristic
263#821—51no—
264#817C2×D511yescharacteristic, complemented
265#816—51no—
266#815—51no—
267C8×Dic3C2×D511yescharacteristic, complemented
268#810—51no—
269#809—51no—
270#807—51no—
271#807—51no—
272#803—51no—
273C23×D5—61no—
274C2×C5×Q8C22×D311yescharacteristic
275C2×C5×D4C22×D311yescharacteristic
276C22×C4×C5—61no—
277C2×C22⋊D5—61no—
278C22×Dic5—21no—
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—31no—
289C2×Dic10—61no—
290C5×SD16C4×D314yescomplemented
291C2×C5×C8—31no—
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—31no—
294C5×C4⋊C4—31no—
295C5×C4⋊C4—61no—
296C5×C22⋊C4—61no—
297C42×C5—31no—
298C42×C5—61no—
299C22⋊Dic5—21no—
300#688—34no—
301#687—34no—
302#685—31no—
303#685—31no—
304#685—61no—
305#685—61no—
306#685—61no—
307#685—61no—
308C4⋊Dic5—21no—
309C4⋊Dic5C22×D311yescharacteristic
310C4⋊Dic5C22×D311yescharacteristic
311#683—31no—
312#683—31no—
313#683—61no—
314#683—61no—
315C4×Dic5—21no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5C22×D311yescharacteristic
321C2×#168—31no—
322C2×#168C22×D311yescharacteristic
323#677—34no—
324#676—62no—
325C8×D5—34no—
326C22×SD16—151no—
327#519—151no—
328#518—151no—
329#440—151no—
330#440—151no—
331#440—151no—
332#440—151no—
333C4×SD16—31no—
334C4×SD16—51no—
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—22no—
353C3×C4×C5C23×C411yescharacteristic
354C3×C4×C5C2×#4111yescharacteristic
355Dic15—22no—
356Dic15C4×D412yes—
357C3×Dic5—21no—
358C3×Dic5—21no—
359C3×Dic5—41no—
360C3×Dic5—41no—
361C5×Dic3—21no—
362C5×Dic3—21no—
363C5×Dic3—41no—
364C5×Dic3—41no—
365C23×D3—101no—
366C2×C3×Q8C22×D511yescharacteristic
367C2×C3×D4C22×D511yescharacteristic
368C22×C3×C4—101no—
369C2×#67—101no—
370C22×Dic3—21no—
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—51no—
381C2×Dic6—101no—
382C3×SD16C4×D514yescomplemented
383C2×C3×C8—51no—
384C2×C3×C8C22×D511yescharacteristic
385C3×C4⋊C4—51no—
386C3×C4⋊C4—51no—
387C3×C4⋊C4—101no—
388C3×C22⋊C4—101no—
389C3×C42—51no—
390C3×C42—101no—
391#217—21no—
392#215—54no—
393#214—54no—
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—21no—
401C4⋊Dic3C22×D511yescharacteristic
402C4⋊Dic3C22×D511yescharacteristic
403Dic3⋊C4—51no—
404Dic3⋊C4—51no—
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407C4×Dic3—21no—
408C4×Dic3—101no—
409C4×Dic3—101no—
410C4×Dic3—101no—
411C4×Dic3—101no—
412C4×Dic3C22×D511yescharacteristic
413C2×C3⋊C8—51no—
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—21no—
425C5×Q8C2×C4×D312yes—
426C5×D4—21no—
427C5×D4C2×C4×D312yes—
428C2×C4×C5—21no—
429C2×C4×C5—31no—
430C2×C4×C5—31no—
431C2×C4×C5—61no—
432C2×C4×C5—61no—
433C2×C4×C5—241no—
434C2×C4×C5C23×D311yescharacteristic
435C22⋊D5—64no—
436C2×Dic5—21no—
437C2×Dic5—21no—
438C2×Dic5—31no—
439C2×Dic5—61no—
440C2×Dic5—81no—
441C2×Dic5D3×D411yescharacteristic
442C2×Dic5D3×D411yescharacteristic
443D20—32no—
444D20—61no—
445C4×D5—32no—
446C4×D5—32no—
447C4×D5—64no—
448C4×D5—241no—
449C4×D5—241no—
450Dic10—32no—
451Dic10—64no—
452Dic10—61no—
453C5×C8—61no—
454C5×C8C2×C4×D312yes—
455#168—21no—
456#168—32no—
457C22×Q8—151no—
458C22×D4—151no—
459C2×SD16—151no—
460C2×SD16—151no—
461C2×SD16—158no—
462C2×SD16—151no—
463C2×SD16D3×D511yescharacteristic
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—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—151no—
486#107—151no—
487#106—31no—
488#106—51no—
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—151no—
498#97—151no—
499C4×C8—31no—
500C4×C8—51no—
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—21no—
514C3×Q8C2×C4×D512yes—
515C3×D4—21no—
516C3×D4C2×C4×D512yes—
517C2×C3×C4—21no—
518C2×C3×C4—51no—
519C2×C3×C4—51no—
520C2×C3×C4—101no—
521C2×C3×C4—101no—
522C2×C3×C4—401no—
523C2×C3×C4C23×D511yescharacteristic
524#67—104no—
525C2×Dic3—21no—
526C2×Dic3—21no—
527C2×Dic3—51no—
528C2×Dic3—81no—
529C2×Dic3—101no—
530C2×Dic3D4×D511yescharacteristic
531C2×Dic3D4×D511yescharacteristic
532D12—52no—
533D12—101no—
534C4×D3—52no—
535C4×D3—52no—
536C4×D3—104no—
537C4×D3—401no—
538C4×D3—401no—
539Dic6—52no—
540Dic6—104no—
541Dic6—101no—
542C3×C8—101no—
543C3×C8C2×C4×D512yes—
544C3⋊C8—21no—
545C3⋊C8—52no—
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—22no—
558C4×C5—61no—
559C4×C5—61no—
560C4×C5—121no—
561C4×C5—121no—
562C4×C5C22×C4×D311yescharacteristic
563C4×C5D3×#4111yescharacteristic
564Dic5—21no—
565Dic5—21no—
566Dic5—32no—
567Dic5—41no—
568Dic5—41no—
569Dic5—62no—
570C24—301no—
571C2×Q8—154no—
572C2×Q8—151no—
573C2×Q8—301no—
574C2×Q8—302no—
575C2×Q8C2×D3×D511yescharacteristic
576C2×D4—154no—
577C2×D4—151no—
578C2×D4—302no—
579C2×D4—301no—
580C2×D4C2×D3×D511yescharacteristic
581C22×C4—61no—
582C22×C4—101no—
583C22×C4—151no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587SD16—154no—
588SD16—154no—
589SD16—154no—
590SD16#120014yescomplemented
591M16—302no—
592C2×C8—31no—
593C2×C8—51no—
594C2×C8—151no—
595C2×C8—154no—
596C2×C8C2×D3×D511yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—31no—
599C4⋊C4—51no—
600C4⋊C4—51no—
601C4⋊C4—61no—
602C4⋊C4—101no—
603C4⋊C4—151no—
604C4⋊C4—151no—
605C4⋊C4—301no—
606C4⋊C4—301no—
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—31no—
616C42—51no—
617C42—61no—
618C42—101no—
619C42—301no—
620C42—301no—
621C42—301no—
622C42—301no—
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—22no—
636C3×C4—101no—
637C3×C4—101no—
638C3×C4—201no—
639C3×C4—201no—
640C3×C4C22×C4×D511yescharacteristic
641C3×C4D5×#4111yescharacteristic
642Dic3—21no—
643Dic3—21no—
644Dic3—41no—
645Dic3—41no—
646Dic3—52no—
647Dic3—102no—
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—21no—
661Q8—152no—
662Q8—304no—
663Q8—301no—
664Q8C2×#120012yes—
665D4—21no—
666D4—152no—
667D4—304no—
668D4—301no—
669D4C2×#120012yes—
670C2×C4—21no—
671C2×C4—31no—
672C2×C4—31no—
673C2×C4—51no—
674C2×C4—51no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—101no—
678C2×C4—101no—
679C2×C4—151no—
680C2×C4—152no—
681C2×C4—152no—
682C2×C4—241no—
683C2×C4—304no—
684C2×C4—301no—
685C2×C4—401no—
686C2×C4—1201no—
687C2×C4—1201no—
688C2×C4C22×D3×D511yescharacteristic
689C8—61no—
690C8—101no—
691C8—152no—
692C8C2×#120012yes—
693C2×C3—42no—
694C2×C3C4×D4×D511yescharacteristic
695C2×C3#6609611yescharacteristic
696C2×C3#6610411yescharacteristic
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—
710C22D3×D4×D511yescharacteristic
711C4—22no—
712C4—61no—
713C4—61no—
714C4—101no—
715C4—101no—
716C4—121no—
717C4—121no—
718C4—152no—
719C4—201no—
720C4—201no—
721C4—302no—
722C4#9202411yescharacteristic
723C4C22×#120011yescharacteristic
724C3#1061138011yescharacteristic, complemented, Sylow
725C2—42no—
726C2—302no—
727C2—602no—
728C2#1175408711yescharacteristic
729C2#1175409211yescharacteristic
730C2D4×#120011yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×SD16C22
socleC22×C3×C5C22×D4
prime radicalC2×D4×D15C22
cosocleC2×C3×C4×C5C24
hypercenterC2×SD16D3×D5
hypocenterC3×C5#2949
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×SD16

Complements

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

NH ≅ G/Ntype
2. #11755124C2semidirect
4. C5×Dic3×SD16C2semidirect
5. C3×SD16×Dic5C2semidirect
6. #11749235C2semidirect
7. #11749225C2semidirect
8. #11749218C2semidirect
9. #11749014C2semidirect
10. #11749004C2semidirect
12. #11747789C2semidirect
13. #11747760C2semidirect
14. #11747687C2semidirect
15. #11747657C2semidirect
22. SD16×D15C4semidirect
25. C5×Q8×Dic3C22semidirect
27. C3×Q8×Dic5C22semidirect
41. #91340C22semidirect
43. #91333C22semidirect
45. C5×#835C22semidirect
47. C5×#817C22semidirect
48. C5×C8×Dic3C22semidirect
49. C3×#3967C22semidirect
51. C3×#3949C22semidirect
52. C3×C8×Dic5C22semidirect
53. #90989C22semidirect
54. #90989C22semidirect
55. #90975C22semidirect
56. #90974C22semidirect
59. #90953C22semidirect
60. #90952C22semidirect
66. SD16×Dic5D3semidirect
82. Q8×D15C2×C4semidirect
94. C3×C5×SD16C2×C4semidirect
96. #6717C2×C4semidirect
97. #6716C2×C4semidirect
99. #6706C2×C4semidirect
100. C8×D15C2×C4semidirect
134. Dic3×SD16D5semidirect
150. Q8×Dic5C2×D3semidirect
177. #3967C2×D3semidirect
180. #3949C2×D3semidirect
183. C8×Dic5C2×D3semidirect
234. Q8×Dic3C2×D5semidirect
261. #835C2×D5semidirect
264. #817C2×D5semidirect
267. C8×Dic3C2×D5semidirect
290. C5×SD16C4×D3semidirect
382. C3×SD16C4×D5semidirect
590. SD16#1200semidirect
623. C3×C5#2949semidirect
699. C5#79649semidirect
724. C3#10611380semidirect

Maximal subgroups

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

subgroupindex
C2×SD16×D152
#117551242
#117549222
C5×Dic3×SD162
C3×SD16×Dic52
#117492352
#117492252
#117492182
#117490142
#117490042
#117489722
#117477892
#117477602
#117476872
#117476572
#106113803
#796495