Finite Group Databasebeta

← #14458908

Subgroups — #14458908

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#11754651C211yesmaximal, characteristic, complemented
2#11754407C211yesmaximal, characteristic, complemented
3#11751216C211yesmaximal, characteristic, complemented
4C5×#5113C211yesmaximal, characteristic, complemented
5C3×C8×C22⋊D5C211yesmaximal, characteristic, complemented
6#11748521C211yesmaximal, characteristic, complemented
7#11748373C211yesmaximal, characteristic, complemented
8#11748117C211yesmaximal, characteristic, complemented
9D5×#821C211yesmaximal, characteristic, complemented
10#11747985C211yesmaximal, characteristic, complemented
11#11747938C211yesmaximal, characteristic, complemented
12#11747774C211yesmaximal, characteristic, complemented
13#11747771C211yesmaximal, characteristic, complemented
14#11747745C211yesmaximal, characteristic, complemented
15#11747621C211yesmaximal, characteristic, complemented
16#10610577—31nomaximal, Hall
17C2×C5×#235C2211yescharacteristic
18C2×D5×D12C2211yescharacteristic
19C22×C3×C5×C8C2211yescharacteristic, complemented
20#91819C2211yescharacteristic
21#91819C2211yescharacteristic, complemented
22C2×D120C2211yescharacteristic
23C5×#926C2211yescharacteristic, complemented
24C3×C4×C22⋊D5C2211yescharacteristic
25C2×C3×C8×D5C2211yescharacteristic
26#91577—21no—
27#91562—21no—
28#91558—21no—
29#91550—21no—
30D3×#685—21no—
31#91450C2211yescharacteristic
32#91418C2211yescharacteristic, complemented
33Dic5×D12C2211yescharacteristic
34D5×C4⋊Dic3C2211yescharacteristic
35#91395—21no—
36#91388C2211yescharacteristic, complemented
37#91380—21no—
38#91375C2211yescharacteristic
39#91359C2211yescharacteristic
40#91351—21no—
41C2×#6660C2211yescharacteristic, complemented
42C2×#6654C2211yescharacteristic
43#91105C2211yescharacteristic
44#91105C2211yescharacteristic, complemented
45#91102C2211yescharacteristic, complemented
46C5×#821C2211yescharacteristic
47C5×#821C2211yescharacteristic
48C5×#816C2211yescharacteristic, complemented
49C5×#816C2211yescharacteristic, complemented
50C3×C22⋊#168C2211yescharacteristic, complemented
51C3×#3952C2211yescharacteristic
52C3×#3946C2211yescharacteristic, complemented
53C3×C8×Dic5C2211yescharacteristic, complemented
54#90988C2211yescharacteristic, complemented
55#90985C2211yescharacteristic, complemented
56#90973C2211yescharacteristic, complemented
57#90969C2211yescharacteristic
58#90969C2211yescharacteristic
59#90967C2211yescharacteristic
60#79441—51nomaximal, Hall
61#66163—31no—
62#65864—31no—
63C5×#416—31no—
64#65527—31no—
65#65404—31no—
66C8×C22⋊D5D311yescharacteristic, complemented
67#65292—31no—
68#65108—31no—
69#65098—31no—
70#65096—31no—
71#65089—31no—
72#65062—31no—
73D5×#102—31no—
74#65055—31no—
75#65045—31no—
76C22×D3×D5—21no—
77C22×C3×C4×C5C2311yescharacteristic
78C2×#1220—21no—
79C2×#1220—21no—
80C2×D60C2311yescharacteristic
81C2×D60C2311yescharacteristic
82C2×C5×#67—21no—
83C5×#235—22no—
84C5×#235—41no—
85C2×C5×D12C2311yescharacteristic
86C2×C4×C5×D3—21no—
87C2×C5×Dic6C2311yescharacteristic
88C2×C3×C22⋊D5D411yescharacteristic
89C2×C3×C4×D5C2311yescharacteristic
90C2×#1203—21no—
91C2×#1202—21no—
92C2×#1200—21no—
93C2×D3×Dic5—21no—
94C2×D5×Dic3—21no—
95D5×D12—22no—
96D5×D12—41no—
97C2×C3×C5×C8—41no—
98C2×C3×C5×C8C2311yescharacteristic
99C2×C3×C5×C8C2311yescharacteristic
100#6714—21no—
101#6714—21no—
102C4⋊Dic15C2311yescharacteristic
103C4⋊Dic15C2311yescharacteristic
104D120—41no—
105C5×#217—21no—
106C5×C4⋊Dic3C2311yescharacteristic
107C5×C4⋊Dic3C2311yescharacteristic
108C4×C5×Dic3—21no—
109C3×C22⋊Dic5D411yescharacteristic
110C3×#685D411yescharacteristic
111C3×#683D411yescharacteristic
112C3×C4×Dic5C2311yescharacteristic
113C2×C3×#168C2311yescharacteristic
114C2×C3×#168C2311yescharacteristic
115C3×C8×D5—41no—
116Dic3⋊Dic5—21no—
117#6669—21no—
118#6669—21no—
119#6668—21no—
120#6667—21no—
121#6667—21no—
122#6667—21no—
123#6667—21no—
124(C2×D3)⋊Dic5—21no—
125#6665—21no—
126#6660—41no—
127#6654—22no—
128#5565—51no—
129#5550—51no—
130C3×C8×D4—51no—
131#5115—51no—
132#5114—51no—
133#5113D511yescharacteristic, complemented
134C2×#821—51no—
135#4847—51no—
136#4844—51no—
137#4737—51no—
138#4734—51no—
139#4732—51no—
140#4722—51no—
141#4697—51no—
142C4×D24—51no—
143C2×C5×#41—31no—
144C2×D4×D5—31no—
145C22×C5×C8C2×D311yescharacteristic, complemented
146C5×#117—31no—
147#4093—31no—
148#4092—31no—
149C2×#688—31no—
150#4085—61no—
151#4083—61no—
152D4×Dic5—31no—
153C2×#686—31no—
154#4076—31no—
155#4076—31no—
156#4075—61no—
157C4×C22⋊D5C2×D311yescharacteristic
158C2×#685—61no—
159C2×D40—31no—
160C2×C8×D5C2×D311yescharacteristic
161#4041—31no—
162#4039—31no—
163D5×C4⋊C4—31no—
164#4036—31no—
165#4030—61no—
166#4029—61no—
167#4022—61no—
168C4×D20—61no—
169C5×#103—31no—
170C5×#103—31no—
171C5×#102—31no—
172C5×#102—31no—
173#3967—31no—
174#3964—31no—
175C22⋊#168C2×D311yescharacteristic, complemented
176#3953—31no—
177#3953—31no—
178#3952C2×D311yescharacteristic
179#3950—31no—
180#3946C2×D311yescharacteristic, complemented
181C8×Dic5C2×D311yescharacteristic, complemented
182#3941—31no—
183#3941—31no—
184#3940—31no—
185#3939—31no—
186#3297—151noSylow
187C23×C3×C5C2×D411yescharacteristic
188C22×D15—21no—
189C22×D15—21no—
190C22×C5×D3—21no—
191C22×C3×D5C2×D411yescharacteristic
192C2×D3×D5—42no—
193C2×D3×D5—42no—
194C2×D3×D5—81no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2411yescharacteristic
199#1220—81no—
200#1220—81no—
201C2×Dic15—21no—
202C2×Dic15—21no—
203D60—21no—
204D60—21no—
205D60—21no—
206D60—21no—
207C5×#67—42no—
208C2×C5×Dic3—21no—
209C2×C5×Dic3—21no—
210C2×C5×Dic3—21no—
211C5×D12—21no—
212C5×D12#4112yes—
213C4×C5×D3—42no—
214C5×Dic6—21no—
215C5×Dic6—21no—
216C3×C22⋊D5—22no—
217C2×C3×Dic5C2×D411yescharacteristic
218C2×C3×Dic5C2×D411yescharacteristic
219C2×C3×Dic5C2×D411yescharacteristic
220C3×C4×D5—21no—
221C3×C4×D5—21no—
222#1203—42no—
223#1202—42no—
224#1200—81no—
225D3×Dic5—81no—
226D5×Dic3—81no—
227C3×C5×C8—21no—
228C3×C5×C8—21no—
229C3×#168—21no—
230C3×#168—21no—
231C2×#235C2×D511yescharacteristic
232C22×D12—51no—
233C22×C3×C8—51no—
234C22×C3×C8C2×D511yescharacteristic, complemented
235C3×C4×D4—51no—
236#939—101no—
237#937—101no—
238#930—51no—
239#930—51no—
240#930—51no—
241#926C2×D511yescharacteristic, complemented
242C2×C4⋊Dic3—51no—
243#924—51no—
244C2×D24—51no—
245C2×D24—51no—
246C2×#204—51no—
247#898—101no—
248#894—101no—
249#884—101no—
250#883—101no—
251#67⋊C4—101no—
252D3×C22⋊C4—101no—
253#875—51no—
254C4×D12—51no—
255C4×D12—51no—
256#870—51no—
257C3×C4⋊C8—51no—
258C3×C22⋊C8—51no—
259C3×C22⋊C8—51no—
260C3×C4×C8—51no—
261#821—51no—
262#821—51no—
263#821—51no—
264#821—51no—
265#821—51no—
266#821C2×D511yescharacteristic
267#821C2×D511yescharacteristic
268#818—51no—
269#818—51no—
270#817—51no—
271#816—51no—
272#816C2×D511yescharacteristic, complemented
273#816C2×D511yescharacteristic, complemented
274C23×D5—61no—
275C5×#41—62no—
276C5×#41—121no—
277C2×C5×Q8—31no—
278C2×C5×D4—31no—
279C2×C5×D4—61no—
280C22×C4×C5—61no—
281C22×C4×C5C22×D311yescharacteristic
282C2×C22⋊D5—61no—
283C2×C22⋊D5—61no—
284C2×C22⋊D5—61no—
285C2×C22⋊D5D1211yescharacteristic
286C22×Dic5—61no—
287D4×D5—62no—
288D4×D5—121no—
289C2×D20—31no—
290C2×D20—31no—
291C2×D20—61no—
292C2×C4×D5—61no—
293C2×C4×D5—61no—
294C2×C4×D5C22×D311yescharacteristic
295C2×C5×C8—41no—
296C2×C5×C8C22×D311yescharacteristic
297C2×C5×C8C22×D311yescharacteristic
298C5×C4⋊C4—31no—
299C5×C4⋊C4—31no—
300C5×C22⋊C4—61no—
301C42×C5—61no—
302C22⋊Dic5—61no—
303C22⋊Dic5D1211yescharacteristic
304#688—121no—
305#686—62no—
306#685—61no—
307#685—61no—
308#685—61no—
309#685—61no—
310#685—61no—
311#685—61no—
312#685—61no—
313#685D1211yescharacteristic
314C4⋊Dic5—31no—
315C4⋊Dic5—31no—
316C4⋊Dic5—61no—
317#683—61no—
318#683—61no—
319#683—61no—
320#683D1211yescharacteristic
321C4×Dic5C22×D311yescharacteristic
322C2×#168C22×D311yescharacteristic
323C2×#168C22×D311yescharacteristic
324D40—121no—
325C8×D5—41no—
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×D8—151no—
338C8×D4—51no—
339#416—31no—
340C2×#102—151no—
341C22×C3×C5—21no—
342C22×C3×C5—21no—
343C22×C3×C5—21no—
344C22×C3×C5C22×D411yescharacteristic
345C2×D15—41no—
346C2×D15—41no—
347C2×D15—41no—
348C2×D15—41no—
349C2×D15—41no—
350C2×D15—41no—
351C2×C5×D3—22no—
352C2×C5×D3—41no—
353C2×C5×D3—41no—
354C2×C3×D5—21no—
355C2×C3×D5—21no—
356C2×C3×D5#13512yes—
357D3×D5—84no—
358C3×C4×C5—21no—
359C3×C4×C5C2×#4111yescharacteristic
360C3×C4×C5H(5,𝔽2)11yescharacteristic
361Dic15—41no—
362Dic15—41no—
363C3×Dic5—21no—
364C3×Dic5—21no—
365C3×Dic5—21no—
366C5×Dic3—41no—
367C5×Dic3—41no—
368C5×Dic3—41no—
369C23×D3—101no—
370C2×C3×D4—51no—
371C22×C3×C4—51no—
372C22×C3×C4C22×D511yescharacteristic
373C2×#67—21no—
374C2×#67—101no—
375C2×#67—101no—
376C2×#67—101no—
377C22×Dic3—101no—
378#235—22no—
379#235—41no—
380C2×D12—51no—
381C2×D12—51no—
382C2×D12—102no—
383C2×D12—101no—
384C2×D12—201no—
385C2×D12C22×D511yescharacteristic
386C2×C4×D3—21no—
387C2×C4×D3—101no—
388C2×C4×D3—101no—
389C2×Dic6C22×D511yescharacteristic
390C2×C3×C8—41no—
391C2×C3×C8—51no—
392C2×C3×C8—51no—
393C2×C3×C8—201no—
394C2×C3×C8C22×D511yescharacteristic
395C2×C3×C8C22×D511yescharacteristic
396C3×C4⋊C4—51no—
397C3×C22⋊C4—51no—
398C3×C22⋊C4—51no—
399C3×C42—51no—
400#217—21no—
401#217—101no—
402(C2×D3)⋊C4—101no—
403(C2×D3)⋊C4—101no—
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—101no—
412C4⋊Dic3C22×D511yescharacteristic
413C4⋊Dic3C22×D511yescharacteristic
414Dic3⋊C4—101no—
415Dic3⋊C4—101no—
416Dic3⋊C4—101no—
417C4×Dic3—21no—
418D24—102no—
419D24—201no—
420#204—201no—
421C23×C5—61no—
422C23×C5C2×D1211yescharacteristic
423C22×D5—61no—
424C22×D5—61no—
425C22×D5—122no—
426C22×D5—122no—
427C22×D5—241no—
428C22×D5C2×D1211yescharacteristic
429C5×Q8—61no—
430C5×Q8—61no—
431C5×D4—32no—
432C5×D4—61no—
433C5×D4—122no—
434C2×C4×C5—21no—
435C2×C4×C5—21no—
436C2×C4×C5—61no—
437C2×C4×C5—61no—
438C2×C4×C5—61no—
439C2×C4×C5—122no—
440C2×C4×C5C2×D1211yescharacteristic
441C2×C4×C5C23×D311yescharacteristic
442C22⋊D5—22no—
443C22⋊D5—122no—
444C22⋊D5—241no—
445C22⋊D5—241no—
446C2×Dic5—61no—
447C2×Dic5—61no—
448C2×Dic5—241no—
449C2×Dic5C2×D1211yescharacteristic
450C2×Dic5C2×D1211yescharacteristic
451C2×Dic5C2×D1211yescharacteristic
452D20—61no—
453D20—61no—
454D20—61no—
455D20—61no—
456D20—122no—
457C4×D5—21no—
458C4×D5—21no—
459C4×D5—241no—
460C4×D5—241no—
461C5×C8—21no—
462C5×C8—21no—
463#168—21no—
464#168—21no—
465C2×#41—31no—
466C22×D4—151no—
467C2×SD16—151no—
468C2×D8—151no—
469C2×D8—151no—
470C22×C8—51no—
471C22×C8D3×D511yescharacteristic, complemented
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—51no—
485C4×D4—151no—
486C4×D4—151no—
487C4×D4—301no—
488#117—31no—
489C2×C4⋊C4—151no—
490C2×C22⋊C4—301no—
491#107—151no—
492#107—151no—
493#106—151no—
494C4⋊C8—51no—
495#103—31no—
496#103—31no—
497#103—151no—
498#102—31no—
499#102—31no—
500#102—151no—
501#102—151no—
502#102—151no—
503#102—151no—
504#102—151no—
505C22⋊C8—51no—
506C22⋊C8—51no—
507C4×C8—51no—
508C2×C3×C5—41no—
509C2×C3×C5#54611yescharacteristic
510C2×C3×C5C2×#13511yescharacteristic
511C2×C3×C5#57611yescharacteristic
512D15—81no—
513D15—81no—
514C3×D5—22no—
515C5×D3—42no—
516C23×C3—51no—
517C23×C3D4×D511yescharacteristic
518C22×D3—21no—
519C22×D3—101no—
520C22×D3—101no—
521C22×D3—202no—
522C22×D3—202no—
523C22×D3—401no—
524C3×D4—102no—
525C2×C3×C4—21no—
526C2×C3×C4—21no—
527C2×C3×C4—51no—
528C2×C3×C4—51no—
529C2×C3×C4—51no—
530C2×C3×C4—101no—
531C2×C3×C4—101no—
532C2×C3×C4D4×D511yescharacteristic
533C2×C3×C4C23×D511yescharacteristic
534#67—42no—
535#67—202no—
536#67—401no—
537#67—401no—
538C2×Dic3—21no—
539C2×Dic3—21no—
540C2×Dic3—21no—
541C2×Dic3—101no—
542C2×Dic3—101no—
543C2×Dic3—401no—
544D12—21no—
545D12—101no—
546D12—101no—
547D12—101no—
548D12—101no—
549D12—202no—
550D12#70912yes—
551C4×D3—42no—
552C4×D3—401no—
553C4×D3—401no—
554Dic6—21no—
555Dic6—21no—
556C3×C8—21no—
557C3×C8—21no—
558C3×C8—101no—
559C3×C8—101no—
560C22×C5—21no—
561C22×C5—21no—
562C22×C5—21no—
563C22×C5—62no—
564C22×C5—121no—
565C22×C5—121no—
566C22×C5C22×D1211yescharacteristic
567C2×D5—21no—
568C2×D5—21no—
569C2×D5—121no—
570C2×D5—121no—
571C2×D5—121no—
572C2×D5—121no—
573C2×D5—121no—
574C2×D5—121no—
575C2×D5—244no—
576C2×D5#90412yes—
577C4×C5—21no—
578C4×C5—121no—
579C4×C5—121no—
580C4×C5—121no—
581C4×C5#100411yescharacteristic
582C4×C5D3×#4111yescharacteristic
583Dic5—21no—
584Dic5—21no—
585Dic5—21no—
586Dic5—121no—
587Dic5—121no—
588C24—301no—
589#41—62no—
590#41—121no—
591C2×Q8—31no—
592C2×D4—31no—
593C2×D4—51no—
594C2×D4—61no—
595C2×D4—151no—
596C2×D4—151no—
597C2×D4—301no—
598C2×D4—301no—
599C2×D4—302no—
600C2×D4—301no—
601C2×D4—301no—
602C2×D4—601no—
603C22×C4—51no—
604C22×C4—61no—
605C22×C4—301no—
606C22×C4—301no—
607C22×C4—301no—
608C22×C4C2×D3×D511yescharacteristic
609SD16—601no—
610D8—302no—
611D8—601no—
612C2×C8—41no—
613C2×C8—51no—
614C2×C8—51no—
615C2×C8—201no—
616C2×C8C2×D3×D511yescharacteristic
617C2×C8C2×D3×D511yescharacteristic
618C4⋊C4—31no—
619C4⋊C4—31no—
620C4⋊C4—51no—
621C4⋊C4—151no—
622C4⋊C4—151no—
623C4⋊C4—301no—
624C4⋊C4—301no—
625C4⋊C4—301no—
626C4⋊C4—301no—
627C22⋊C4—51no—
628C22⋊C4—51no—
629C22⋊C4—61no—
630C22⋊C4—301no—
631C22⋊C4—301no—
632C22⋊C4—301no—
633C22⋊C4—301no—
634C22⋊C4—301no—
635C22⋊C4—301no—
636C22⋊C4—301no—
637C22⋊C4—301no—
638C42—51no—
639C42—61no—
640C3×C5#329711yescharacteristic, complemented, Hall
641C22×C3—21no—
642C22×C3—21no—
643C22×C3—21no—
644C22×C3—52no—
645C22×C3—101no—
646C22×C3—101no—
647C22×C3C2×D4×D511yescharacteristic
648C2×D3—22no—
649C2×D3—41no—
650C2×D3—41no—
651C2×D3—201no—
652C2×D3—201no—
653C2×D3—201no—
654C2×D3—201no—
655C2×D3—201no—
656C2×D3—201no—
657C2×D3—404no—
658C3×C4—21no—
659C3×C4—101no—
660C3×C4—101no—
661C3×C4—101no—
662C3×C4C2×#70911yescharacteristic
663C3×C4#414411yescharacteristic
664Dic3—41no—
665Dic3—41no—
666Dic3—41no—
667Dic3—201no—
668Dic3—201no—
669C2×C5—41no—
670C2×C5—122no—
671C2×C5#555411yescharacteristic
672C2×C5C2×#90411yescharacteristic
673C2×C5#575211yescharacteristic
674D5—22no—
675D5—241no—
676D5—241no—
677C23—51no—
678C23—61no—
679C23—301no—
680C23—301no—
681C23—602no—
682C23—602no—
683C23—1201no—
684C23D5×D1211yescharacteristic
685Q8—61no—
686Q8—61no—
687D4—32no—
688D4—61no—
689D4—102no—
690D4—122no—
691D4—301no—
692D4—301no—
693D4—301no—
694D4—301no—
695D4—602no—
696D4—602no—
697D4—1201no—
698D4—1201no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—51no—
702C2×C4—51no—
703C2×C4—51no—
704C2×C4—61no—
705C2×C4—61no—
706C2×C4—61no—
707C2×C4—101no—
708C2×C4—101no—
709C2×C4—122no—
710C2×C4—301no—
711C2×C4—301no—
712C2×C4—1201no—
713C2×C4—1201no—
714C2×C4—1201no—
715C2×C4D5×D1211yescharacteristic
716C2×C4C22×D3×D511yescharacteristic
717C8—21no—
718C8—21no—
719C8—101no—
720C8—101no—
721C2×C3—41no—
722C2×C3—102no—
723C2×C3#6582411yescharacteristic
724C2×C3D5×#13511yescharacteristic
725C2×C3#6610311yescharacteristic
726D3—42no—
727D3—401no—
728D3—401no—
729C5#7944111yescharacteristic, complemented, Sylow
730C22—21no—
731C22—21no—
732C22—21no—
733C22—52no—
734C22—62no—
735C22—101no—
736C22—101no—
737C22—121no—
738C22—121no—
739C22—601no—
740C22—601no—
741C22—601no—
742C22—601no—
743C22—601no—
744C22—601no—
745C22—1204no—
746C22C2×D5×D1211yescharacteristic
747C4—21no—
748C4—101no—
749C4—101no—
750C4—101no—
751C4—121no—
752C4—121no—
753C4—121no—
754C4—601no—
755C4—601no—
756C4D3×#70911yescharacteristic
757C4#9204911yescharacteristic
758C3#1061057711yescharacteristic, complemented, Sylow
759C2—41no—
760C2—102no—
761C2—122no—
762C2—1201no—
763C2—1201no—
764C2D5×#90411yescharacteristic
765C2#1175396311yescharacteristic
766C2#1175464611yescharacteristic
subgroupG/H
centerC22C2×D5×D12
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC22×C3×C5×C8C22
socleC22×C3×C5C22×D4
hypercenterC22×C8D3×D5
hypocenterC3×C5#3297
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×C8

Complements

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

NH ≅ G/Ntype
1. #11754651C2semidirect
2. #11754407C2semidirect
3. #11751216C2semidirect
4. C5×#5113C2semidirect
5. C3×C8×C22⋊D5C2semidirect
6. #11748521C2semidirect
7. #11748373C2semidirect
8. #11748117C2semidirect
9. D5×#821C2semidirect
10. #11747985C2semidirect
11. #11747938C2semidirect
12. #11747774C2semidirect
13. #11747771C2semidirect
14. #11747745C2semidirect
15. #11747621C2semidirect
19. C22×C3×C5×C8C22semidirect
21. #91819C22semidirect
23. C5×#926C22semidirect
32. #91418C22semidirect
36. #91388C22semidirect
41. C2×#6660C22semidirect
44. #91105C22semidirect
45. #91102C22semidirect
48. C5×#816C22semidirect
49. C5×#816C22semidirect
50. C3×C22⋊#168C22semidirect
52. C3×#3946C22semidirect
53. C3×C8×Dic5C22semidirect
54. #90988C22semidirect
55. #90985C22semidirect
56. #90973C22semidirect
66. C8×C22⋊D5D3semidirect
133. #5113D5semidirect
145. C22×C5×C8C2×D3semidirect
175. C22⋊#168C2×D3semidirect
180. #3946C2×D3semidirect
181. C8×Dic5C2×D3semidirect
234. C22×C3×C8C2×D5semidirect
241. #926C2×D5semidirect
272. #816C2×D5semidirect
273. #816C2×D5semidirect
471. C22×C8D3×D5semidirect
640. C3×C5#3297semidirect
729. C5#79441semidirect
758. C3#10610577semidirect

Maximal subgroups

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

subgroupindex
#117546512
#117544072
#117512162
C5×#51132
C3×C8×C22⋊D52
#117485212
#117483732
#117481172
D5×#8212
#117479852
#117479382
#117477742
#117477712
#117477452
#117476212
#106105773
#794415