Finite Group Databasebeta

← #14458883

Subgroups — #14458883

Order 1920.

840 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11756317C211yesmaximal, characteristic, complemented
2#11756313C211yesmaximal, characteristic, complemented
3C3×C4×C5×D8C211yesmaximal, characteristic, complemented
4#11751259C211yesmaximal, characteristic, complemented
5#11751257C211yesmaximal, characteristic, complemented
6#11751117C211yesmaximal, characteristic, complemented
7#11751110C211yesmaximal, characteristic, complemented
8#11750986C211yesmaximal, characteristic, complemented
9#11750985C211yesmaximal, characteristic, complemented
10#11750879C211yesmaximal, characteristic, complemented
11#11750876C211yesmaximal, characteristic, complemented
12#11750873C211yesmaximal, characteristic, complemented
13D15×#102C211yesmaximal, characteristic, complemented
14#11750798C211yesmaximal, characteristic, complemented
15C8×D60C211yesmaximal, characteristic, complemented
16#10611340—31nomaximal, Hall
17C2×#6819C2211yescharacteristic
18C2×D4×D15C2211yescharacteristic
19C2×C3×C5×D8C2211yescharacteristic
20C3×C4×C5×D4C2211yescharacteristic
21C3×C4×C5×D4C2211yescharacteristic, complemented
22#91827C2211yescharacteristic
23#91827C2211yescharacteristic, complemented
24C2×#6716C2211yescharacteristic, complemented
25C2×#6715C2211yescharacteristic
26#91819—21no—
27#91818—21no—
28C4×#1220—21no—
29C2×#6714—21no—
30C2×C8×D15C2211yescharacteristic
31C2×C8×D15C2211yescharacteristic, complemented
32#91786C2211yescharacteristic
33#91784C2211yescharacteristic
34#91781C2211yescharacteristic, complemented
35C4⋊C4×D15C2211yescharacteristic
36#91775—21no—
37#91773—21no—
38#91771—21no—
39#91768—21no—
40#91764C2211yescharacteristic
41C4×D60C2211yescharacteristic
42#91759C2211yescharacteristic, complemented
43C3×C5×#107C2211yescharacteristic, complemented
44C3×C5×#102C2211yescharacteristic
45C3×C5×#102C2211yescharacteristic, complemented
46C3×C4×C5×C8C2211yescharacteristic, complemented
47#91116C2211yescharacteristic
48#91116C2211yescharacteristic
49#91105C2211yescharacteristic
50#91105C2211yescharacteristic
51#91104C2211yescharacteristic
52#91104C2211yescharacteristic, complemented
53#91100C2211yescharacteristic, complemented
54#91100C2211yescharacteristic, complemented
55#91094C2211yescharacteristic, complemented
56#91093C2211yescharacteristic
57#91092C2211yescharacteristic, complemented
58#91091C2211yescharacteristic, complemented
59C4⋊(C3⋊#168)C2211yescharacteristic, complemented
60#79609—51nomaximal, Hall
61#65892—31no—
62#65888—31no—
63C4×C5×D8D311yescharacteristic, complemented
64#65447—31no—
65#65445—31no—
66#65305—31no—
67#65298—31no—
68#65174—31no—
69#65173—31no—
70#65067—31no—
71#65064—31no—
72#65061—31no—
73D5×#102—31no—
74#64986—31no—
75C8×D20—31no—
76C23×D15—21no—
77C2×C3×C5×D4C2311yescharacteristic
78C2×C3×C5×D4C2311yescharacteristic
79C22×C3×C4×C5—21no—
80C22×C3×C4×C5—21no—
81C2×#1220—21no—
82C2×#1220—21no—
83C2×#1220—21no—
84C2×#1220—21no—
85C22×Dic15—21no—
86#6819—22no—
87#6819—41no—
88D4×D15—22no—
89D4×D15—41no—
90C2×D60—21no—
91C2×D60D411yescharacteristic
92C2×D60C2311yescharacteristic
93C2×C4×D15—21no—
94C2×C4×D15C2311yescharacteristic
95C2×C4×D15C2311yescharacteristic
96C2×Dic30C2311yescharacteristic
97C3×C5×D8—22no—
98C2×C3×C5×C8C2311yescharacteristic
99C2×C3×C5×C8C2311yescharacteristic
100C3×C5×C4⋊C4C2311yescharacteristic
101C3×C5×C4⋊C4C2311yescharacteristic
102C3×C5×C22⋊C4—21no—
103C3×C5×C22⋊C4—21no—
104C3×C42×C5C2311yescharacteristic
105#6719—21no—
106#6719—21no—
107#6716—41no—
108#6715—41no—
109#6714—21no—
110#6714—21no—
111#6714—21no—
112#6714—21no—
113#6714—21no—
114#6714D411yescharacteristic
115#6714D411yescharacteristic
116C4⋊Dic15—21no—
117C4⋊Dic15D411yescharacteristic
118C4⋊Dic15C2311yescharacteristic
119C4⋊Dic15C2311yescharacteristic
120#6712—21no—
121#6712—21no—
122#6712—21no—
123C4×Dic15—21no—
124C2×C3⋊#168C2311yescharacteristic
125C2×C3⋊#168C2311yescharacteristic
126C8×D15—41no—
127C8×D15—41no—
128#5558—51no—
129#5554—51no—
130C3×C4×D8D511yescharacteristic, complemented
131#5158—51no—
132#5156—51no—
133#5016—51no—
134#5009—51no—
135#4885—51no—
136#4884—51no—
137#4778—51no—
138#4775—51no—
139#4772—51no—
140D3×#102—51no—
141#4697—51no—
142C8×D12—51no—
143C2×#711—31no—
144C2×D4×D5—31no—
145C2×C5×D8C2×D311yescharacteristic
146C4×C5×D4C2×D311yescharacteristic
147C4×C5×D4C2×D311yescharacteristic, complemented
148#4084—31no—
149#4084—31no—
150C2×#687—31no—
151C2×#686—31no—
152#4076—61no—
153#4075—61no—
154C4×C22⋊D5—61no—
155C2×#685—61no—
156C2×C8×D5—31no—
157C2×C8×D5—31no—
158#4043—31no—
159#4041—31no—
160#4038—31no—
161D5×C4⋊C4—31no—
162#4032—61no—
163#4030—61no—
164#4028—61no—
165#4025—61no—
166#4021—31no—
167C4×D20—31no—
168#4016—31no—
169C5×#107C2×D311yescharacteristic, complemented
170C5×#102C2×D311yescharacteristic
171C5×#102C2×D311yescharacteristic, complemented
172C4×C5×C8C2×D311yescharacteristic, complemented
173#3964—31no—
174#3964—31no—
175#3953—31no—
176#3953—31no—
177#3952—31no—
178#3952—31no—
179#3948—31no—
180#3948—31no—
181#3942—31no—
182#3941—31no—
183#3940—31no—
184#3939—31no—
185C4⋊#168—31no—
186#3297—151noSylow
187C23×C3×C5—21no—
188C23×C3×C5—21no—
189C22×D15—21no—
190C22×D15—42no—
191C22×D15—42no—
192C22×D15—81no—
193C22×D15C2×D411yescharacteristic
194C22×D15C2×D411yescharacteristic
195C3×C5×D4—21no—
196C3×C5×D4—21no—
197C3×C5×D4—21no—
198C3×C5×D4#4112yes—
199C2×C3×C4×C5—21no—
200C2×C3×C4×C5—21no—
201C2×C3×C4×C5—81no—
202C2×C3×C4×C5—81no—
203C2×C3×C4×C5C2×D411yescharacteristic
204C2×C3×C4×C5C2×D411yescharacteristic
205C2×C3×C4×C5C2411yescharacteristic
206#1220—42no—
207#1220—42no—
208#1220—42no—
209#1220—81no—
210C2×Dic15—21no—
211C2×Dic15—21no—
212C2×Dic15—21no—
213C2×Dic15—42no—
214C2×Dic15C2×D411yescharacteristic
215C2×Dic15C2×D411yescharacteristic
216D60—22no—
217D60—21no—
218D60—21no—
219D60—81no—
220C4×D15—21no—
221C4×D15—21no—
222C4×D15—21no—
223C4×D15—21no—
224C4×D15—81no—
225Dic30—21no—
226Dic30—21no—
227C3×C5×C8—21no—
228C3×C5×C8—21no—
229C3⋊#168—21no—
230C3⋊#168—21no—
231C2×#237—51no—
232C2×D3×D4—51no—
233C2×C3×D8C2×D511yescharacteristic
234C3×C4×D4C2×D511yescharacteristic
235C3×C4×D4C2×D511yescharacteristic, complemented
236#938—51no—
237#938—51no—
238C2×#214—51no—
239C2×#213—51no—
240#930—101no—
241#929—101no—
242C4×#67—101no—
243C2×(C2×D3)⋊C4—101no—
244C2×D3×C8—51no—
245C2×D3×C8—51no—
246#897—51no—
247#895—51no—
248#892—51no—
249D3×C4⋊C4—51no—
250#886—101no—
251#884—101no—
252#882—101no—
253#879—101no—
254#875—51no—
255C4×D12—51no—
256#870—51no—
257C3×#107C2×D511yescharacteristic, complemented
258C3×#102C2×D511yescharacteristic
259C3×#102C2×D511yescharacteristic, complemented
260C3×C4×C8C2×D511yescharacteristic, complemented
261#832—51no—
262#832—51no—
263#821—51no—
264#821—51no—
265(C2×D3)⋊C8—51no—
266(C2×D3)⋊C8—51no—
267#816—51no—
268#816—51no—
269#810—51no—
270#809—51no—
271#808—51no—
272#807—51no—
273C4⋊(C3⋊C8)—51no—
274C23×D5—61no—
275C2×C5×D4C22×D311yescharacteristic
276C2×C5×D4C22×D311yescharacteristic
277C22×C4×C5—21no—
278C22×C4×C5—21no—
279C2×C22⋊D5—61no—
280C2×C22⋊D5—61no—
281C2×C22⋊D5—61no—
282C2×C22⋊D5—61no—
283C22×Dic5—61no—
284#711—62no—
285#711—121no—
286D4×D5—62no—
287D4×D5—121no—
288C2×D20—31no—
289C2×D20—31no—
290C2×D20—61no—
291C2×C4×D5—31no—
292C2×C4×D5—31no—
293C2×C4×D5—61no—
294C2×Dic10—31no—
295C5×D8—22no—
296C2×C5×C8C22×D311yescharacteristic
297C2×C5×C8C22×D311yescharacteristic
298C5×C4⋊C4C22×D311yescharacteristic
299C5×C4⋊C4C22×D311yescharacteristic
300C5×C22⋊C4—21no—
301C5×C22⋊C4—21no—
302C42×C5C22×D311yescharacteristic
303C22⋊Dic5—61no—
304C22⋊Dic5—61no—
305#687—121no—
306#686—121no—
307#685—31no—
308#685—31no—
309#685—61no—
310#685—61no—
311#685—61no—
312#685—61no—
313#685—61no—
314C4⋊Dic5—31no—
315C4⋊Dic5—31no—
316C4⋊Dic5—31no—
317C4⋊Dic5—61no—
318#683—61no—
319#683—61no—
320#683—61no—
321C4×Dic5—61no—
322C2×#168—31no—
323C2×#168—31no—
324C8×D5—121no—
325C8×D5—121no—
326#553—151no—
327#546—151no—
328#488—151no—
329#484—151no—
330#482—151no—
331#478—151no—
332#466—151no—
333#465—151no—
334#463—151no—
335#449—151no—
336#447—151no—
337C4×D8D1511yescharacteristic, complemented
338C8×D4—151no—
339#416—151no—
340C2×#102—151no—
341C22×C3×C5—22no—
342C22×C3×C5—41no—
343C22×C3×C5—41no—
344C22×C3×C5—41no—
345C22×C3×C5—41no—
346C22×C3×C5—41no—
347C22×C3×C5C22×D411yescharacteristic
348C2×D15—21no—
349C2×D15—21no—
350C2×D15—21no—
351C2×D15—21no—
352C2×D15—21no—
353C2×D15—41no—
354C2×D15—41no—
355C2×D15—41no—
356C2×D15—84no—
357C2×D15#13512yes—
358C3×C4×C5—21no—
359C3×C4×C5—21no—
360C3×C4×C5—41no—
361C3×C4×C5—41no—
362C3×C4×C5C2×#4111yescharacteristic
363C3×C4×C5H(5,𝔽2)11yescharacteristic
364Dic15—21no—
365Dic15—21no—
366Dic15—41no—
367Dic15—41no—
368Dic15—41no—
369C23×D3—101no—
370C2×C3×D4C22×D511yescharacteristic
371C2×C3×D4C22×D511yescharacteristic
372C22×C3×C4—21no—
373C22×C3×C4—21no—
374C2×#67—101no—
375C2×#67—101no—
376C2×#67—101no—
377C2×#67—101no—
378C22×Dic3—101no—
379#237—102no—
380#237—201no—
381D3×D4—102no—
382D3×D4—201no—
383C2×D12—51no—
384C2×D12—51no—
385C2×D12—101no—
386C2×C4×D3—51no—
387C2×C4×D3—51no—
388C2×C4×D3—101no—
389C2×Dic6—51no—
390C3×D8—22no—
391C2×C3×C8C22×D511yescharacteristic
392C2×C3×C8C22×D511yescharacteristic
393C3×C4⋊C4C22×D511yescharacteristic
394C3×C4⋊C4C22×D511yescharacteristic
395C3×C22⋊C4—21no—
396C3×C22⋊C4—21no—
397C3×C42C22×D511yescharacteristic
398#217—101no—
399#217—101no—
400#214—201no—
401#213—201no—
402(C2×D3)⋊C4—51no—
403(C2×D3)⋊C4—51no—
404(C2×D3)⋊C4—101no—
405(C2×D3)⋊C4—101no—
406(C2×D3)⋊C4—101no—
407(C2×D3)⋊C4—101no—
408(C2×D3)⋊C4—101no—
409C4⋊Dic3—51no—
410C4⋊Dic3—51no—
411C4⋊Dic3—51no—
412C4⋊Dic3—101no—
413Dic3⋊C4—101no—
414Dic3⋊C4—101no—
415Dic3⋊C4—101no—
416C4×Dic3—101no—
417C2×C3⋊C8—51no—
418C2×C3⋊C8—51no—
419D3×C8—201no—
420D3×C8—201no—
421C23×C5—21no—
422C23×C5—21no—
423C22×D5—31no—
424C22×D5—31no—
425C22×D5—61no—
426C22×D5—122no—
427C22×D5—122no—
428C22×D5—241no—
429C5×D4—21no—
430C5×D4—21no—
431C5×D4—21no—
432C5×D4#23512yes—
433C2×C4×C5—21no—
434C2×C4×C5—21no—
435C2×C4×C5—81no—
436C2×C4×C5—81no—
437C2×C4×C5D3×D411yescharacteristic
438C2×C4×C5D3×D411yescharacteristic
439C2×C4×C5C23×D311yescharacteristic
440C22⋊D5—122no—
441C22⋊D5—122no—
442C22⋊D5—122no—
443C22⋊D5—241no—
444C2×Dic5—31no—
445C2×Dic5—31no—
446C2×Dic5—61no—
447C2×Dic5—61no—
448C2×Dic5—61no—
449C2×Dic5—122no—
450D20—62no—
451D20—61no—
452D20—61no—
453D20—241no—
454C4×D5—61no—
455C4×D5—61no—
456C4×D5—61no—
457C4×D5—61no—
458C4×D5—241no—
459Dic10—61no—
460Dic10—61no—
461C5×C8—21no—
462C5×C8—21no—
463#168—61no—
464#168—61no—
465C2×#41—151no—
466C22×D4—151no—
467C2×SD16—151no—
468C2×D8—151no—
469C2×D8C2×D1511yescharacteristic
470C22×C8—151no—
471C22×C8—151no—
472#126—301no—
473#125—151no—
474#124—151no—
475#123—301no—
476#123—301no—
477C22⋊Q8—151no—
478#121—151no—
479#121—151no—
480#121—151no—
481#121—301no—
482#121—301no—
483#120—301no—
484C4×D4—151no—
485C4×D4—301no—
486C4×D4C2×D1511yescharacteristic
487C4×D4C2×D1511yescharacteristic, complemented
488#117—151no—
489C2×C4⋊C4—151no—
490C2×C22⋊C4—301no—
491#107—151no—
492#107C2×D1511yescharacteristic, complemented
493#106—151no—
494C4⋊C8—151no—
495#103—151no—
496#103—151no—
497#103—151no—
498#102—151no—
499#102—151no—
500#102—151no—
501#102—151no—
502#102—151no—
503#102C2×D1511yescharacteristic
504#102C2×D1511yescharacteristic, complemented
505C22⋊C8—151no—
506C22⋊C8—151no—
507C4×C8C2×D1511yescharacteristic, complemented
508C2×C3×C5—42no—
509C2×C3×C5—81no—
510C2×C3×C5#54611yescharacteristic
511C2×C3×C5C2×#13511yescharacteristic
512C2×C3×C5#57611yescharacteristic
513D15—22no—
514D15—41no—
515D15—81no—
516C23×C3—21no—
517C23×C3—21no—
518C22×D3—51no—
519C22×D3—51no—
520C22×D3—101no—
521C22×D3—202no—
522C22×D3—202no—
523C22×D3—401no—
524C3×D4—21no—
525C3×D4—21no—
526C3×D4—21no—
527C3×D4#70912yes—
528C2×C3×C4—21no—
529C2×C3×C4—21no—
530C2×C3×C4—81no—
531C2×C3×C4—81no—
532C2×C3×C4D4×D511yescharacteristic
533C2×C3×C4D4×D511yescharacteristic
534C2×C3×C4C23×D511yescharacteristic
535#67—202no—
536#67—202no—
537#67—202no—
538#67—401no—
539C2×Dic3—51no—
540C2×Dic3—51no—
541C2×Dic3—101no—
542C2×Dic3—101no—
543C2×Dic3—101no—
544C2×Dic3—202no—
545D12—102no—
546D12—101no—
547D12—101no—
548D12—401no—
549C4×D3—101no—
550C4×D3—101no—
551C4×D3—101no—
552C4×D3—101no—
553C4×D3—401no—
554Dic6—101no—
555Dic6—101no—
556C3×C8—21no—
557C3×C8—21no—
558C3⋊C8—101no—
559C3⋊C8—101no—
560C22×C5—22no—
561C22×C5—41no—
562C22×C5—41no—
563C22×C5—41no—
564C22×C5—41no—
565C22×C5—41no—
566C22×C5C2×D3×D411yescharacteristic
567C2×D5—32no—
568C2×D5—61no—
569C2×D5—61no—
570C2×D5—61no—
571C2×D5—61no—
572C2×D5—61no—
573C2×D5—121no—
574C2×D5—121no—
575C2×D5—121no—
576C2×D5—244no—
577C4×C5—21no—
578C4×C5—21no—
579C4×C5—41no—
580C4×C5—41no—
581C4×C5C2×#23511yescharacteristic
582C4×C5#100911yescharacteristic
583Dic5—61no—
584Dic5—61no—
585Dic5—121no—
586Dic5—121no—
587Dic5—121no—
588C24—301no—
589#41—302no—
590#41—601no—
591C2×Q8—151no—
592C2×D4—151no—
593C2×D4—151no—
594C2×D4—301no—
595C2×D4—301no—
596C2×D4—302no—
597C2×D4—301no—
598C2×D4—301no—
599C2×D4—301no—
600C2×D4—601no—
601C2×D4C22×D1511yescharacteristic
602C2×D4C22×D1511yescharacteristic
603C22×C4—21no—
604C22×C4—21no—
605C22×C4—151no—
606C22×C4—151no—
607C22×C4—301no—
608C22×C4—301no—
609SD16—601no—
610D8—22no—
611D8—601no—
612C2×C8—151no—
613C2×C8—151no—
614C2×C8—601no—
615C2×C8—601no—
616C2×C8C22×D1511yescharacteristic
617C2×C8C22×D1511yescharacteristic
618C4⋊C4—151no—
619C4⋊C4—151no—
620C4⋊C4—151no—
621C4⋊C4—301no—
622C4⋊C4—301no—
623C4⋊C4—301no—
624C4⋊C4—301no—
625C4⋊C4C22×D1511yescharacteristic
626C4⋊C4C22×D1511yescharacteristic
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—151no—
630C22⋊C4—151no—
631C22⋊C4—301no—
632C22⋊C4—301no—
633C22⋊C4—301no—
634C22⋊C4—301no—
635C22⋊C4—301no—
636C22⋊C4—301no—
637C22⋊C4—301no—
638C42—301no—
639C42C22×D1511yescharacteristic
640C3×C5#329711yescharacteristic, complemented, Hall
641C22×C3—22no—
642C22×C3—41no—
643C22×C3—41no—
644C22×C3—41no—
645C22×C3—41no—
646C22×C3—41no—
647C22×C3C2×D4×D511yescharacteristic
648C2×D3—52no—
649C2×D3—101no—
650C2×D3—101no—
651C2×D3—101no—
652C2×D3—101no—
653C2×D3—101no—
654C2×D3—201no—
655C2×D3—201no—
656C2×D3—201no—
657C2×D3—404no—
658C3×C4—21no—
659C3×C4—21no—
660C3×C4—41no—
661C3×C4—41no—
662C3×C4C2×#70911yescharacteristic
663C3×C4#414911yescharacteristic
664Dic3—101no—
665Dic3—101no—
666Dic3—201no—
667Dic3—201no—
668Dic3—201no—
669C2×C5—42no—
670C2×C5—81no—
671C2×C5#555011yescharacteristic
672C2×C5#575711yescharacteristic
673C2×C5D3×#13511yescharacteristic
674D5—62no—
675D5—121no—
676D5—241no—
677C23—21no—
678C23—21no—
679C23—151no—
680C23—151no—
681C23—301no—
682C23—602no—
683C23—602no—
684C23—1201no—
685Q8—301no—
686Q8—301no—
687D4—21no—
688D4—21no—
689D4—21no—
690D4—302no—
691D4—301no—
692D4—301no—
693D4—602no—
694D4—602no—
695D4—602no—
696D4—1201no—
697D4—1201no—
698D4#681712yes—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—81no—
702C2×C4—81no—
703C2×C4—151no—
704C2×C4—151no—
705C2×C4—301no—
706C2×C4—301no—
707C2×C4—301no—
708C2×C4—301no—
709C2×C4—301no—
710C2×C4—301no—
711C2×C4—301no—
712C2×C4—602no—
713C2×C4—1201no—
714C2×C4D4×D1511yescharacteristic
715C2×C4D4×D1511yescharacteristic
716C2×C4C23×D1511yescharacteristic
717C8—21no—
718C8—21no—
719C8—301no—
720C8—301no—
721C2×C3—42no—
722C2×C3—81no—
723C2×C3#6588411yescharacteristic
724C2×C3#6609111yescharacteristic
725C2×C3D5×#13511yescharacteristic
726D3—102no—
727D3—201no—
728D3—401no—
729C5#7960911yescharacteristic, complemented, Sylow
730C22—22no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—152no—
737C22—301no—
738C22—301no—
739C22—301no—
740C22—301no—
741C22—301no—
742C22—601no—
743C22—601no—
744C22—601no—
745C22—1204no—
746C22C2×D4×D1511yescharacteristic
747C4—21no—
748C4—21no—
749C4—41no—
750C4—41no—
751C4—301no—
752C4—301no—
753C4—601no—
754C4—601no—
755C4—601no—
756C4C2×#681711yescharacteristic
757C4#9210011yescharacteristic
758C3#1061134011yescharacteristic, complemented, Sylow
759C2—42no—
760C2—81no—
761C2—302no—
762C2—601no—
763C2—1201no—
764C2#1175630911yescharacteristic
765C2#1175651611yescharacteristic
766C2D15×#13511yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C4×C5×D8C2
socleC22×C3×C5C22×D4
hypercenterC4×D8D15
hypocenterC3×C5#3297
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×D8

Complements

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

NH ≅ G/Ntype
1. #11756317C2semidirect
2. #11756313C2semidirect
3. C3×C4×C5×D8C2semidirect
4. #11751259C2semidirect
5. #11751257C2semidirect
6. #11751117C2semidirect
7. #11751110C2semidirect
8. #11750986C2semidirect
9. #11750985C2semidirect
10. #11750879C2semidirect
11. #11750876C2semidirect
12. #11750873C2semidirect
13. D15×#102C2semidirect
14. #11750798C2semidirect
15. C8×D60C2semidirect
21. C3×C4×C5×D4C22semidirect
23. #91827C22semidirect
24. C2×#6716C22semidirect
31. C2×C8×D15C22semidirect
34. #91781C22semidirect
42. #91759C22semidirect
43. C3×C5×#107C22semidirect
45. C3×C5×#102C22semidirect
46. C3×C4×C5×C8C22semidirect
52. #91104C22semidirect
53. #91100C22semidirect
54. #91100C22semidirect
55. #91094C22semidirect
57. #91092C22semidirect
58. #91091C22semidirect
59. C4⋊(C3⋊#168)C22semidirect
63. C4×C5×D8D3semidirect
130. C3×C4×D8D5semidirect
147. C4×C5×D4C2×D3semidirect
169. C5×#107C2×D3semidirect
171. C5×#102C2×D3semidirect
172. C4×C5×C8C2×D3semidirect
235. C3×C4×D4C2×D5semidirect
257. C3×#107C2×D5semidirect
259. C3×#102C2×D5semidirect
260. C3×C4×C8C2×D5semidirect
337. C4×D8D15semidirect
487. C4×D4C2×D15semidirect
492. #107C2×D15semidirect
504. #102C2×D15semidirect
507. C4×C8C2×D15semidirect
640. C3×C5#3297semidirect
729. C5#79609semidirect
758. C3#10611340semidirect

Maximal subgroups

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

subgroupindex
#117563172
#117563132
C3×C4×C5×D82
#117512592
#117512572
#117511172
#117511102
#117509862
#117509852
#117508792
#117508762
#117508732
D15×#1022
#117507982
C8×D602
#106113403
#796095