Finite Group Databasebeta

← #14458886

Subgroups — #14458886

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#11756389C211yesmaximal, characteristic, complemented
2#11756377C211yesmaximal, characteristic, complemented
3C3×C5×#465C211yesmaximal, characteristic, complemented
4#11751273C211yesmaximal, characteristic, complemented
5#11751266C211yesmaximal, characteristic, complemented
6C2×#91105C211yesmaximal, characteristic, complemented
7C8×#1220C211yesmaximal, characteristic, complemented
8#11751145C211yesmaximal, characteristic, complemented
9#11751137C211yesmaximal, characteristic, complemented
10#11750972C211yesmaximal, characteristic, complemented
11#11750967C211yesmaximal, characteristic, complemented
12#11750905C211yesmaximal, characteristic, complemented
13#11750901C211yesmaximal, characteristic, complemented
14#11750876C211yesmaximal, characteristic, complemented
15#11750857C211yesmaximal, characteristic, complemented
16#10612412—31nomaximal, Hall
17C2×#6821C2211yescharacteristic
18C22×D60C2211yescharacteristic
19C2×C3×C5×SD16C2211yescharacteristic, complemented
20C22×C3×C5×C8C2211yescharacteristic
21C3×C5×C22⋊Q8C2211yescharacteristic
22C3×C5×#121C2211yescharacteristic
23#91836C2211yescharacteristic
24#91828—21no—
25#91827C2211yescharacteristic, complemented
26D4×Dic15—21no—
27D4×Dic15C2211yescharacteristic, complemented
28C2×#6715C2211yescharacteristic
29C2×#6715C2211yescharacteristic
30C4×#1220C2211yescharacteristic
31C2×C4⋊Dic15C2211yescharacteristic
32C2×C8×D15C2211yescharacteristic, complemented
33#91784—21no—
34#91784C2211yescharacteristic
35#91783—21no—
36#91782C2211yescharacteristic
37#91781C2211yescharacteristic, complemented
38#91779C2211yescharacteristic, complemented
39#91775—21no—
40#91771—21no—
41C22⋊C4×D15—21no—
42#91768—21no—
43C3×C5×#106C2211yescharacteristic, complemented
44C3×C5×#103C2211yescharacteristic, complemented
45C3×C5×#102C2211yescharacteristic, complemented
46#91119C2211yescharacteristic, complemented
47#91119C2211yescharacteristic, complemented
48#91114C2211yescharacteristic
49#91105C2211yescharacteristic
50#91105C2211yescharacteristic
51#91105C2211yescharacteristic
52#91105C2211yescharacteristic
53#91104C2211yescharacteristic, complemented
54#91098C2211yescharacteristic, complemented
55C8×Dic15C2211yescharacteristic, complemented
56#91093C2211yescharacteristic
57#91093C2211yescharacteristic
58#91091C2211yescharacteristic, complemented
59#91091C2211yescharacteristic, complemented
60#80681—51nomaximal, Hall
61#65964—31no—
62#65952—31no—
63C5×#465D311yescharacteristic, complemented
64#65461—31no—
65#65454—31no—
66C2×#3953—31no—
67C8×C22⋊D5—31no—
68#65333—31no—
69#65325—31no—
70#65160—31no—
71#65155—31no—
72#65093—31no—
73#65089—31no—
74#65064—31no—
75#65045—31no—
76C23×D15—21no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×C3×C5×D4—21no—
79C2×C3×C5×D4C2311yescharacteristic
80C22×C3×C4×C5C2311yescharacteristic
81C2×#1220—21no—
82C2×#1220D411yescharacteristic
83C22×Dic15—21no—
84C22×Dic15—21no—
85#6821—22no—
86#6821—41no—
87C2×D60—22no—
88C2×D60—21no—
89C2×D60—21no—
90C2×D60—21no—
91C2×D60—41no—
92C2×D60C2311yescharacteristic
93C2×D60C2311yescharacteristic
94C2×C4×D15—21no—
95C2×C4×D15—21no—
96C2×C4×D15C2311yescharacteristic
97C3×C5×SD16—41no—
98C2×C3×C5×C8—41no—
99C2×C3×C5×C8C2311yescharacteristic
100C2×C3×C5×C8C2311yescharacteristic
101C3×C5×C4⋊C4—21no—
102C3×C5×C4⋊C4C2311yescharacteristic
103C3×C5×C4⋊C4C2311yescharacteristic
104C3×C5×C22⋊C4—21no—
105C3×C5×C22⋊C4—21no—
106#6719—21no—
107#6719—21no—
108#6719D411yescharacteristic
109#6715—22no—
110#6715—41no—
111#6714—21no—
112#6714—21no—
113#6714—21no—
114#6714—21no—
115#6714—21no—
116#6714D411yescharacteristic
117C4⋊Dic15—21no—
118C4⋊Dic15—21no—
119C4⋊Dic15C2311yescharacteristic
120C4⋊Dic15C2311yescharacteristic
121#6712—21no—
122#6712D411yescharacteristic
123C4×Dic15—21no—
124C4×Dic15C2311yescharacteristic
125C2×C3⋊#168C2311yescharacteristic
126C2×C3⋊#168C2311yescharacteristic
127C8×D15—41no—
128#5630—51no—
129#5618—51no—
130C3×#465D511yescharacteristic, complemented
131#5172—51no—
132#5165—51no—
133C2×#821—51no—
134C8×#67—51no—
135#5044—51no—
136#5036—51no—
137#4871—51no—
138#4866—51no—
139#4804—51no—
140#4800—51no—
141#4775—51no—
142#4756—51no—
143C2×#713—31no—
144C22×D20—31no—
145C2×C5×SD16C2×D311yescharacteristic, complemented
146C22×C5×C8C2×D311yescharacteristic
147C5×C22⋊Q8C2×D311yescharacteristic
148C5×#121C2×D311yescharacteristic
149#4093—31no—
150#4085—61no—
151#4084—31no—
152D4×Dic5—31no—
153D4×Dic5—61no—
154C2×#686—31no—
155C2×#686—31no—
156C4×C22⋊D5—31no—
157C2×C4⋊Dic5—31no—
158C2×C8×D5—31no—
159#4041—31no—
160#4041—61no—
161#4040—61no—
162#4039—31no—
163#4038—31no—
164#4036—31no—
165#4032—61no—
166#4028—61no—
167D5×C22⋊C4—61no—
168#4025—61no—
169C5×#106C2×D311yescharacteristic, complemented
170C5×#103C2×D311yescharacteristic, complemented
171C5×#102C2×D311yescharacteristic, complemented
172#3967—31no—
173#3967—31no—
174C22⋊#168—31no—
175#3953—31no—
176#3953—31no—
177#3953—31no—
178#3953—31no—
179#3952—31no—
180#3946—31no—
181C8×Dic5—31no—
182#3941—31no—
183#3941—31no—
184#3939—31no—
185#3939—31no—
186#3297—151noSylow
187C23×C3×C5—21no—
188C23×C3×C5C2×D411yescharacteristic
189C22×D15—21no—
190C22×D15—21no—
191C22×D15—42no—
192C22×D15—42no—
193C22×D15—81no—
194C22×D15C2×D411yescharacteristic
195C3×C5×Q8—21no—
196C3×C5×Q8—21no—
197C3×C5×D4—21no—
198C3×C5×D4—21no—
199C3×C5×D4—42no—
200C2×C3×C4×C5—21no—
201C2×C3×C4×C5—21no—
202C2×C3×C4×C5—21no—
203C2×C3×C4×C5—21no—
204C2×C3×C4×C5—21no—
205C2×C3×C4×C5C2×D411yescharacteristic
206C2×C3×C4×C5C2411yescharacteristic
207#1220—22no—
208#1220—81no—
209C2×Dic15—21no—
210C2×Dic15—21no—
211C2×Dic15—81no—
212C2×Dic15—81no—
213C2×Dic15C2×D411yescharacteristic
214C2×Dic15C2×D411yescharacteristic
215C2×Dic15C2×D411yescharacteristic
216D60—21no—
217D60—21no—
218D60—21no—
219D60—42no—
220D60—42no—
221D60—81no—
222D60#4112yes—
223C4×D15—21no—
224C4×D15—21no—
225C4×D15—42no—
226C4×D15—81no—
227C3×C5×C8—21no—
228C3×C5×C8—21no—
229C3⋊#168—21no—
230C3⋊#168—21no—
231C2×#239—51no—
232C22×D12—51no—
233C2×C3×SD16C2×D511yescharacteristic, complemented
234C22×C3×C8C2×D511yescharacteristic
235C3×C22⋊Q8C2×D511yescharacteristic
236C3×#121C2×D511yescharacteristic
237#947—51no—
238#939—101no—
239#938—51no—
240D4×Dic3—51no—
241D4×Dic3—101no—
242C2×#213—51no—
243C2×#213—51no—
244C4×#67—51no—
245C2×C4⋊Dic3—51no—
246C2×D3×C8—51no—
247#895—51no—
248#895—101no—
249#894—101no—
250#893—51no—
251#892—51no—
252#890—51no—
253#886—101no—
254#882—101no—
255D3×C22⋊C4—101no—
256#879—101no—
257C3×#106C2×D511yescharacteristic, complemented
258C3×#103C2×D511yescharacteristic, complemented
259C3×#102C2×D511yescharacteristic, complemented
260#835—51no—
261#835—51no—
262#830—51no—
263#821—51no—
264#821—51no—
265#821—51no—
266#821—51no—
267(C2×D3)⋊C8—51no—
268Dic3⋊C8—51no—
269C8×Dic3—51no—
270#809—51no—
271#809—51no—
272#807—51no—
273#807—51no—
274C23×D5—61no—
275C2×C5×Q8C22×D311yescharacteristic
276C2×C5×D4—21no—
277C2×C5×D4C22×D311yescharacteristic
278C22×C4×C5C22×D311yescharacteristic
279C2×C22⋊D5—31no—
280C2×C22⋊D5—61no—
281C22×Dic5—61no—
282C22×Dic5—61no—
283#713—62no—
284#713—121no—
285C2×D20—31no—
286C2×D20—31no—
287C2×D20—62no—
288C2×D20—61no—
289C2×D20—61no—
290C2×D20—61no—
291C2×D20—121no—
292C2×C4×D5—31no—
293C2×C4×D5—61no—
294C2×C4×D5—61no—
295C5×SD16—41no—
296C2×C5×C8—41no—
297C2×C5×C8C22×D311yescharacteristic
298C2×C5×C8C22×D311yescharacteristic
299C5×C4⋊C4—21no—
300C5×C4⋊C4C22×D311yescharacteristic
301C5×C4⋊C4C22×D311yescharacteristic
302C5×C22⋊C4—21no—
303C5×C22⋊C4—21no—
304C22⋊Dic5—31no—
305C22⋊Dic5—61no—
306C22⋊Dic5—61no—
307#686—62no—
308#686—121no—
309#685—31no—
310#685—61no—
311#685—61no—
312#685—61no—
313#685—61no—
314#685—61no—
315C4⋊Dic5—31no—
316C4⋊Dic5—31no—
317C4⋊Dic5—61no—
318C4⋊Dic5—61no—
319#683—31no—
320#683—61no—
321C4×Dic5—31no—
322C4×Dic5—61no—
323C2×#168—31no—
324C2×#168—31no—
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#465D1511yescharacteristic, complemented
334#463—151no—
335#449—151no—
336#447—151no—
337C4×D8—151no—
338C8×D4—151no—
339#416—151no—
340C2×#102—151no—
341C22×C3×C5—21no—
342C22×C3×C5—21no—
343C22×C3×C5—41no—
344C22×C3×C5—41no—
345C22×C3×C5—41no—
346C22×C3×C5#13512yes—
347C22×C3×C5C22×D411yescharacteristic
348C2×D15—21no—
349C2×D15—22no—
350C2×D15—21no—
351C2×D15—21no—
352C2×D15—41no—
353C2×D15—41no—
354C2×D15—41no—
355C2×D15—41no—
356C2×D15—41no—
357C2×D15—84no—
358C3×C4×C5—21no—
359C3×C4×C5—41no—
360C3×C4×C5—41no—
361C3×C4×C5—41no—
362C3×C4×C5C2×#4111yescharacteristic
363C3×C4×C5H(5,𝔽2)11yescharacteristic
364Dic15—21no—
365Dic15—21no—
366Dic15—21no—
367Dic15—41no—
368Dic15—41no—
369C23×D3—101no—
370C2×C3×Q8C22×D511yescharacteristic
371C2×C3×D4—21no—
372C2×C3×D4C22×D511yescharacteristic
373C22×C3×C4C22×D511yescharacteristic
374C2×#67—51no—
375C2×#67—101no—
376C22×Dic3—101no—
377C22×Dic3—101no—
378#239—102no—
379#239—201no—
380C2×D12—51no—
381C2×D12—51no—
382C2×D12—102no—
383C2×D12—101no—
384C2×D12—101no—
385C2×D12—101no—
386C2×D12—201no—
387C2×C4×D3—51no—
388C2×C4×D3—101no—
389C2×C4×D3—101no—
390C3×SD16—41no—
391C2×C3×C8—41no—
392C2×C3×C8C22×D511yescharacteristic
393C2×C3×C8C22×D511yescharacteristic
394C3×C4⋊C4—21no—
395C3×C4⋊C4C22×D511yescharacteristic
396C3×C4⋊C4C22×D511yescharacteristic
397C3×C22⋊C4—21no—
398C3×C22⋊C4—21no—
399#217—51no—
400#217—101no—
401#217—101no—
402#213—102no—
403#213—201no—
404(C2×D3)⋊C4—51no—
405(C2×D3)⋊C4—101no—
406(C2×D3)⋊C4—101no—
407(C2×D3)⋊C4—101no—
408(C2×D3)⋊C4—101no—
409(C2×D3)⋊C4—101no—
410C4⋊Dic3—51no—
411C4⋊Dic3—51no—
412C4⋊Dic3—101no—
413C4⋊Dic3—101no—
414Dic3⋊C4—51no—
415Dic3⋊C4—101no—
416C4×Dic3—51no—
417C4×Dic3—101no—
418C2×C3⋊C8—51no—
419C2×C3⋊C8—51no—
420D3×C8—201no—
421C23×C5—21no—
422C23×C5D3×D411yescharacteristic
423C22×D5—31no—
424C22×D5—61no—
425C22×D5—61no—
426C22×D5—122no—
427C22×D5—122no—
428C22×D5—241no—
429C5×Q8—21no—
430C5×Q8—21no—
431C5×D4—21no—
432C5×D4—21no—
433C5×D4—42no—
434C2×C4×C5—21no—
435C2×C4×C5—21no—
436C2×C4×C5—21no—
437C2×C4×C5—21no—
438C2×C4×C5—21no—
439C2×C4×C5D3×D411yescharacteristic
440C2×C4×C5C23×D311yescharacteristic
441C22⋊D5—62no—
442C22⋊D5—241no—
443C2×Dic5—31no—
444C2×Dic5—31no—
445C2×Dic5—31no—
446C2×Dic5—61no—
447C2×Dic5—61no—
448C2×Dic5—241no—
449C2×Dic5—241no—
450D20—32no—
451D20—61no—
452D20—61no—
453D20—61no—
454D20—122no—
455D20—122no—
456D20—241no—
457C4×D5—61no—
458C4×D5—61no—
459C4×D5—122no—
460C4×D5—241no—
461C5×C8—21no—
462C5×C8—21no—
463#168—61no—
464#168—61no—
465C2×#41—151no—
466C22×D4—151no—
467C2×SD16C2×D1511yescharacteristic, complemented
468C2×D8—151no—
469C2×D8—151no—
470C22×C8—151no—
471C22×C8C2×D1511yescharacteristic
472#126—301no—
473#125—151no—
474#124—151no—
475#123—301no—
476#123—301no—
477C22⋊Q8C2×D1511yescharacteristic
478#121—151no—
479#121—151no—
480#121—301no—
481#121—301no—
482#121C2×D1511yescharacteristic
483#120—301no—
484C4×D4—151no—
485C4×D4—151no—
486C4×D4—151no—
487C4×D4—301no—
488#117—151no—
489C2×C4⋊C4—151no—
490C2×C22⋊C4—301no—
491#107—151no—
492#107—151no—
493#106C2×D1511yescharacteristic, complemented
494C4⋊C8—151no—
495#103—151no—
496#103—151no—
497#103C2×D1511yescharacteristic, complemented
498#102—151no—
499#102—151no—
500#102—151no—
501#102—151no—
502#102—151no—
503#102—151no—
504#102C2×D1511yescharacteristic, complemented
505C22⋊C8—151no—
506C22⋊C8—151no—
507C4×C8—151no—
508C2×C3×C5—22no—
509C2×C3×C5—81no—
510C2×C3×C5#54611yescharacteristic
511C2×C3×C5C2×#13511yescharacteristic
512C2×C3×C5#57611yescharacteristic
513D15—41no—
514D15—42no—
515D15—81no—
516C23×C3—21no—
517C23×C3D4×D511yescharacteristic
518C22×D3—51no—
519C22×D3—101no—
520C22×D3—101no—
521C22×D3—202no—
522C22×D3—202no—
523C22×D3—401no—
524C3×Q8—21no—
525C3×Q8—21no—
526C3×D4—21no—
527C3×D4—21no—
528C3×D4—42no—
529C2×C3×C4—21no—
530C2×C3×C4—21no—
531C2×C3×C4—21no—
532C2×C3×C4—21no—
533C2×C3×C4—21no—
534C2×C3×C4D4×D511yescharacteristic
535C2×C3×C4C23×D511yescharacteristic
536#67—102no—
537#67—401no—
538C2×Dic3—51no—
539C2×Dic3—51no—
540C2×Dic3—51no—
541C2×Dic3—101no—
542C2×Dic3—101no—
543C2×Dic3—401no—
544C2×Dic3—401no—
545D12—52no—
546D12—101no—
547D12—101no—
548D12—101no—
549D12—202no—
550D12—202no—
551D12—401no—
552C4×D3—101no—
553C4×D3—101no—
554C4×D3—202no—
555C4×D3—401no—
556C3×C8—21no—
557C3×C8—21no—
558C3⋊C8—101no—
559C3⋊C8—101no—
560C22×C5—21no—
561C22×C5—21no—
562C22×C5—41no—
563C22×C5—41no—
564C22×C5—41no—
565C22×C5#91612yes—
566C22×C5C2×D3×D411yescharacteristic
567C2×D5—61no—
568C2×D5—61no—
569C2×D5—61no—
570C2×D5—62no—
571C2×D5—121no—
572C2×D5—121no—
573C2×D5—121no—
574C2×D5—121no—
575C2×D5—121no—
576C2×D5—244no—
577C4×C5—21no—
578C4×C5—41no—
579C4×C5—41no—
580C4×C5—41no—
581C4×C5#100411yescharacteristic
582C4×C5D3×#4111yescharacteristic
583Dic5—61no—
584Dic5—61no—
585Dic5—61no—
586Dic5—121no—
587Dic5—121no—
588C24—301no—
589#41—302no—
590#41—601no—
591C2×Q8C22×D1511yescharacteristic
592C2×D4—21no—
593C2×D4—151no—
594C2×D4—151no—
595C2×D4—151no—
596C2×D4—302no—
597C2×D4—301no—
598C2×D4—301no—
599C2×D4—301no—
600C2×D4—301no—
601C2×D4—601no—
602C2×D4C22×D1511yescharacteristic
603C22×C4—151no—
604C22×C4—301no—
605C22×C4—301no—
606C22×C4—301no—
607C22×C4—301no—
608C22×C4C22×D1511yescharacteristic
609SD16—41no—
610D8—302no—
611D8—601no—
612C2×C8—41no—
613C2×C8—151no—
614C2×C8—151no—
615C2×C8—601no—
616C2×C8C22×D1511yescharacteristic
617C2×C8C22×D1511yescharacteristic
618C4⋊C4—21no—
619C4⋊C4—151no—
620C4⋊C4—151no—
621C4⋊C4—151no—
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—151no—
639C42—301no—
640C3×C5#329711yescharacteristic, complemented, Hall
641C22×C3—21no—
642C22×C3—21no—
643C22×C3—41no—
644C22×C3—41no—
645C22×C3—41no—
646C22×C3#406212yes—
647C22×C3C2×D4×D511yescharacteristic
648C2×D3—101no—
649C2×D3—101no—
650C2×D3—101no—
651C2×D3—102no—
652C2×D3—201no—
653C2×D3—201no—
654C2×D3—201no—
655C2×D3—201no—
656C2×D3—201no—
657C2×D3—404no—
658C3×C4—21no—
659C3×C4—41no—
660C3×C4—41no—
661C3×C4—41no—
662C3×C4#414411yescharacteristic
663C3×C4D5×#4111yescharacteristic
664Dic3—101no—
665Dic3—101no—
666Dic3—101no—
667Dic3—201no—
668Dic3—201no—
669C2×C5—22no—
670C2×C5—81no—
671C2×C5#561011yescharacteristic
672C2×C5C2×#91611yescharacteristic
673C2×C5#576911yescharacteristic
674D5—121no—
675D5—122no—
676D5—241no—
677C23—21no—
678C23—151no—
679C23—301no—
680C23—301no—
681C23—602no—
682C23—602no—
683C23—1201no—
684C23D4×D1511yescharacteristic
685Q8—21no—
686Q8—21no—
687D4—21no—
688D4—21no—
689D4—42no—
690D4—152no—
691D4—302no—
692D4—301no—
693D4—301no—
694D4—301no—
695D4—602no—
696D4—602no—
697D4—1201no—
698D4—1201no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—21no—
702C2×C4—21no—
703C2×C4—21no—
704C2×C4—151no—
705C2×C4—151no—
706C2×C4—151no—
707C2×C4—301no—
708C2×C4—301no—
709C2×C4—301no—
710C2×C4—301no—
711C2×C4—602no—
712C2×C4—1201no—
713C2×C4—1201no—
714C2×C4—1201no—
715C2×C4D4×D1511yescharacteristic
716C2×C4C23×D1511yescharacteristic
717C8—21no—
718C8—21no—
719C8—301no—
720C8—301no—
721C2×C3—22no—
722C2×C3—81no—
723C2×C3#6594411yescharacteristic
724C2×C3C2×#406211yescharacteristic
725C2×C3#6610311yescharacteristic
726D3—201no—
727D3—202no—
728D3—401no—
729C5#8068111yescharacteristic, complemented, Sylow
730C22—21no—
731C22—21no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—301no—
736C22—302no—
737C22—301no—
738C22—301no—
739C22—601no—
740C22—601no—
741C22—601no—
742C22—601no—
743C22—601no—
744C22—1204no—
745C22#9180512yes—
746C22C2×D4×D1511yescharacteristic
747C4—21no—
748C4—41no—
749C4—41no—
750C4—41no—
751C4—301no—
752C4—301no—
753C4—301no—
754C4—601no—
755C4—601no—
756C4#9209511yescharacteristic
757C4#41×D1511yescharacteristic
758C3#1061241211yescharacteristic, complemented, Sylow
759C2—22no—
760C2—81no—
761C2—601no—
762C2—602no—
763C2—1201no—
764C2#1175636911yescharacteristic
765C2C2×#9180511yescharacteristic
766C2#1175652811yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#465C2
socleC22×C3×C5C22×D4
hypercenter#465D15
hypocenterC3×C5#3297
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ #465

Complements

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

NH ≅ G/Ntype
1. #11756389C2semidirect
2. #11756377C2semidirect
3. C3×C5×#465C2semidirect
4. #11751273C2semidirect
5. #11751266C2semidirect
6. C2×#91105C2semidirect
7. C8×#1220C2semidirect
8. #11751145C2semidirect
9. #11751137C2semidirect
10. #11750972C2semidirect
11. #11750967C2semidirect
12. #11750905C2semidirect
13. #11750901C2semidirect
14. #11750876C2semidirect
15. #11750857C2semidirect
19. C2×C3×C5×SD16C22semidirect
25. #91827C22semidirect
27. D4×Dic15C22semidirect
32. C2×C8×D15C22semidirect
37. #91781C22semidirect
38. #91779C22semidirect
43. C3×C5×#106C22semidirect
44. C3×C5×#103C22semidirect
45. C3×C5×#102C22semidirect
46. #91119C22semidirect
47. #91119C22semidirect
53. #91104C22semidirect
54. #91098C22semidirect
55. C8×Dic15C22semidirect
58. #91091C22semidirect
59. #91091C22semidirect
63. C5×#465D3semidirect
130. C3×#465D5semidirect
145. C2×C5×SD16C2×D3semidirect
169. C5×#106C2×D3semidirect
170. C5×#103C2×D3semidirect
171. C5×#102C2×D3semidirect
233. C2×C3×SD16C2×D5semidirect
257. C3×#106C2×D5semidirect
258. C3×#103C2×D5semidirect
259. C3×#102C2×D5semidirect
333. #465D15semidirect
467. C2×SD16C2×D15semidirect
493. #106C2×D15semidirect
497. #103C2×D15semidirect
504. #102C2×D15semidirect
640. C3×C5#3297semidirect
729. C5#80681semidirect
758. C3#10612412semidirect

Maximal subgroups

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

subgroupindex
#117563892
#117563772
C3×C5×#4652
#117512732
#117512662
C2×#911052
C8×#12202
#117511452
#117511372
#117509722
#117509672
#117509052
#117509012
#117508762
#117508572
#106124123
#806815