Finite Group Databasebeta

← #14458853

Subgroups — #14458853

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#11756373C211yesmaximal, characteristic, complemented
2#11756371C211yesmaximal, characteristic, complemented
3C3×C5×#466C211yesmaximal, characteristic, complemented
4#11751257C211yesmaximal, characteristic, complemented
5#11751254C211yesmaximal, characteristic, complemented
6#11751214C211yesmaximal, characteristic, complemented
7C8×#1220C211yesmaximal, characteristic, complemented
8#11751138C211yesmaximal, characteristic, complemented
9#11751136C211yesmaximal, characteristic, complemented
10#11750992C211yesmaximal, characteristic, complemented
11#11750985C211yesmaximal, characteristic, complemented
12#11750879C211yesmaximal, characteristic, complemented
13D15×#102C211yesmaximal, characteristic, complemented
14#11750869C211yesmaximal, characteristic, complemented
15#11750857C211yesmaximal, characteristic, complemented
16#10612456—31nomaximal, Hall
17C2×D4×D15C2211yescharacteristic
18C2×#6817C2211yescharacteristic
19C2×C3×C5×D8C2211yescharacteristic
20C22×C3×C5×C8C2211yescharacteristic, complemented
21C3×C5×#121C2211yescharacteristic
22C3×C5×#121C2211yescharacteristic, complemented
23#91827—21no—
24#91827—21no—
25#91827C2211yescharacteristic
26#91826—21no—
27#91825C2211yescharacteristic
28#91824—21no—
29D4×Dic15C2211yescharacteristic, complemented
30C2×#6716C2211yescharacteristic, complemented
31C2×#6715C2211yescharacteristic
32C4×#1220C2211yescharacteristic
33#91815C2211yescharacteristic, complemented
34C2×C8×D15C2211yescharacteristic
35#91786C2211yescharacteristic
36#91782C2211yescharacteristic
37C4⋊C4×D15C2211yescharacteristic
38#91779C2211yescharacteristic, complemented
39#91772—21no—
40#91770—21no—
41C22⋊C4×D15—21no—
42#91768—21no—
43C3×C5×#107C2211yescharacteristic, complemented
44C3×C5×#102C2211yescharacteristic
45C3×C5×#102C2211yescharacteristic, complemented
46#91116C2211yescharacteristic
47#91116C2211yescharacteristic
48#91114C2211yescharacteristic, complemented
49#91105C2211yescharacteristic
50#91105C2211yescharacteristic
51#91104C2211yescharacteristic
52#91100C2211yescharacteristic, complemented
53#91100C2211yescharacteristic, complemented
54#91098C2211yescharacteristic, complemented
55C8×Dic15C2211yescharacteristic, complemented
56#91094C2211yescharacteristic, complemented
57#91093C2211yescharacteristic
58#91092C2211yescharacteristic, complemented
59#91091C2211yescharacteristic, complemented
60#80725—51nomaximal, Hall
61#65948—31no—
62#65946—31no—
63C5×#466D311yescharacteristic, complemented
64#65445—31no—
65#65442—31no—
66#65402—31no—
67C8×C22⋊D5—31no—
68#65326—31no—
69#65324—31no—
70#65180—31no—
71#65173—31no—
72#65067—31no—
73D5×#102—31no—
74#65057—31no—
75#65045—31no—
76C23×D15—21no—
77C2×C3×C5×D4—21no—
78C2×C3×C5×D4—21no—
79C2×C3×C5×D4C2311yescharacteristic
80C2×C3×C5×D4C2311yescharacteristic
81C22×C3×C4×C5C2311yescharacteristic
82C2×#1220—21no—
83C2×#1220—21no—
84C2×#1220—21no—
85C2×#1220D411yescharacteristic
86C22×Dic15—21no—
87D4×D15—22no—
88D4×D15—41no—
89#6817—22no—
90#6817—41no—
91C2×D60C2311yescharacteristic
92C2×C4×D15—21no—
93C2×C4×D15—21no—
94C2×C4×D15—21no—
95C2×C4×D15C2311yescharacteristic
96C2×Dic30C2311yescharacteristic
97C3×C5×D8—41no—
98C2×C3×C5×C8—41no—
99C2×C3×C5×C8C2311yescharacteristic
100C2×C3×C5×C8C2311yescharacteristic
101C3×C5×C4⋊C4C2311yescharacteristic
102C3×C5×C4⋊C4C2311yescharacteristic
103C3×C5×C22⋊C4—21no—
104C3×C5×C22⋊C4—21no—
105#6719—21no—
106#6719—21no—
107#6719—21no—
108#6719—21no—
109#6719—21no—
110#6719D411yescharacteristic
111#6716—41no—
112#6715—22no—
113#6714—21no—
114#6714—21no—
115#6714D411yescharacteristic
116C4⋊Dic15—21no—
117C4⋊Dic15—21no—
118C4⋊Dic15C2311yescharacteristic
119C4⋊Dic15C2311yescharacteristic
120#6712—21no—
121#6712—21no—
122#6712D411yescharacteristic
123C4×Dic15—21no—
124C4×Dic15C2311yescharacteristic
125C2×C3⋊#168C2311yescharacteristic
126C2×C3⋊#168C2311yescharacteristic
127C8×D15—41no—
128#5614—51no—
129#5612—51no—
130C3×#466D511yescharacteristic, complemented
131#5156—51no—
132#5153—51no—
133#5113—51no—
134C8×#67—51no—
135#5037—51no—
136#5035—51no—
137#4891—51no—
138#4884—51no—
139#4778—51no—
140D3×#102—51no—
141#4768—51no—
142#4756—51no—
143C2×D4×D5—31no—
144C2×#709—31no—
145C2×C5×D8C2×D311yescharacteristic
146C22×C5×C8C2×D311yescharacteristic, complemented
147C5×#121C2×D311yescharacteristic
148C5×#121C2×D311yescharacteristic, complemented
149#4084—31no—
150#4084—61no—
151#4084—61no—
152#4083—61no—
153#4082—31no—
154#4081—61no—
155D4×Dic5—31no—
156C2×#687—31no—
157C2×#686—31no—
158C4×C22⋊D5—31no—
159#4072—31no—
160C2×C8×D5—31no—
161#4043—31no—
162#4039—31no—
163D5×C4⋊C4—31no—
164#4036—31no—
165#4029—61no—
166#4027—61no—
167D5×C22⋊C4—61no—
168#4025—61no—
169C5×#107C2×D311yescharacteristic, complemented
170C5×#102C2×D311yescharacteristic
171C5×#102C2×D311yescharacteristic, complemented
172#3964—31no—
173#3964—31no—
174C22⋊#168—31no—
175#3953—31no—
176#3953—31no—
177#3952—31no—
178#3948—31no—
179#3948—31no—
180#3946—31no—
181C8×Dic5—31no—
182#3942—31no—
183#3941—31no—
184#3940—31no—
185#3939—31no—
186#3297—151noSylow
187C23×C3×C5—21no—
188C23×C3×C5—21no—
189C23×C3×C5C2×D411yescharacteristic
190C22×D15—21no—
191C22×D15—42no—
192C22×D15—42no—
193C22×D15—81no—
194C22×D15C2×D411yescharacteristic
195C3×C5×D4—21no—
196C3×C5×D4—21no—
197C3×C5×D4—21no—
198C3×C5×D4—21no—
199C3×C5×D4—81no—
200C3×C5×D4—81no—
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—42no—
209#1220—42no—
210#1220—42no—
211C2×Dic15—21no—
212C2×Dic15—21no—
213C2×Dic15—21no—
214C2×Dic15—81no—
215C2×Dic15C2×D411yescharacteristic
216C2×Dic15C2×D411yescharacteristic
217C2×Dic15C2×D411yescharacteristic
218D60—21no—
219D60#4112yes—
220C4×D15—21no—
221C4×D15—21no—
222C4×D15—42no—
223C4×D15—81no—
224C4×D15—81no—
225Dic30—21no—
226Dic30—21no—
227C3×C5×C8—21no—
228C3×C5×C8—21no—
229C3⋊#168—21no—
230C3⋊#168—21no—
231C2×D3×D4—51no—
232C2×#235—51no—
233C2×C3×D8C2×D511yescharacteristic
234C22×C3×C8C2×D511yescharacteristic, complemented
235C3×#121C2×D511yescharacteristic
236C3×#121C2×D511yescharacteristic, complemented
237#938—51no—
238#938—101no—
239#938—101no—
240#937—101no—
241#936—51no—
242#935—101no—
243D4×Dic3—51no—
244C2×#214—51no—
245C2×#213—51no—
246C4×#67—51no—
247#926—51no—
248C2×D3×C8—51no—
249#897—51no—
250#893—51no—
251D3×C4⋊C4—51no—
252#890—51no—
253#883—101no—
254#67⋊C4—101no—
255D3×C22⋊C4—101no—
256#879—101no—
257C3×#107C2×D511yescharacteristic, complemented
258C3×#102C2×D511yescharacteristic
259C3×#102C2×D511yescharacteristic, complemented
260#832—51no—
261#832—51no—
262#830—51no—
263#821—51no—
264#821—51no—
265(C2×D3)⋊C8—51no—
266#816—51no—
267#816—51no—
268Dic3⋊C8—51no—
269C8×Dic3—51no—
270#810—51no—
271#809—51no—
272#808—51no—
273#807—51no—
274C23×D5—61no—
275C2×C5×D4—21no—
276C2×C5×D4—21no—
277C2×C5×D4C22×D311yescharacteristic
278C2×C5×D4C22×D311yescharacteristic
279C22×C4×C5C22×D311yescharacteristic
280C2×C22⋊D5—31no—
281C2×C22⋊D5—61no—
282C2×C22⋊D5—61no—
283C2×C22⋊D5—61no—
284C22×Dic5—61no—
285D4×D5—62no—
286D4×D5—121no—
287#709—62no—
288#709—121no—
289C2×D20—31no—
290C2×C4×D5—31no—
291C2×C4×D5—61no—
292C2×C4×D5—61no—
293C2×C4×D5—61no—
294C2×Dic10—31no—
295C5×D8—41no—
296C2×C5×C8—41no—
297C2×C5×C8C22×D311yescharacteristic
298C2×C5×C8C22×D311yescharacteristic
299C5×C4⋊C4C22×D311yescharacteristic
300C5×C4⋊C4C22×D311yescharacteristic
301C5×C22⋊C4—21no—
302C5×C22⋊C4—21no—
303C22⋊Dic5—31no—
304C22⋊Dic5—61no—
305C22⋊Dic5—61no—
306C22⋊Dic5—61no—
307C22⋊Dic5—61no—
308C22⋊Dic5—61no—
309#687—121no—
310#686—62no—
311#685—31no—
312#685—61no—
313#685—61no—
314C4⋊Dic5—31no—
315C4⋊Dic5—31no—
316C4⋊Dic5—61no—
317C4⋊Dic5—61no—
318#683—31no—
319#683—61no—
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#466D1511yescharacteristic, complemented
333#465—151no—
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—21no—
344C22×C3×C5—41no—
345C22×C3×C5—41no—
346C22×C3×C5—41no—
347C22×C3×C5—41no—
348C22×C3×C5—41no—
349C22×C3×C5—41no—
350C22×C3×C5C22×D411yescharacteristic
351C2×D15—21no—
352C2×D15—21no—
353C2×D15—22no—
354C2×D15—41no—
355C2×D15—41no—
356C2×D15—84no—
357C2×D15#13512yes—
358C3×C4×C5—21no—
359C3×C4×C5—41no—
360C3×C4×C5—41no—
361C3×C4×C5C2×#4111yescharacteristic
362C3×C4×C5H(5,𝔽2)11yescharacteristic
363Dic15—21no—
364Dic15—21no—
365Dic15—21no—
366Dic15—41no—
367Dic15—41no—
368Dic15—41no—
369C23×D3—101no—
370C2×C3×D4—21no—
371C2×C3×D4—21no—
372C2×C3×D4C22×D511yescharacteristic
373C2×C3×D4C22×D511yescharacteristic
374C22×C3×C4C22×D511yescharacteristic
375C2×#67—51no—
376C2×#67—101no—
377C2×#67—101no—
378C2×#67—101no—
379C22×Dic3—101no—
380D3×D4—102no—
381D3×D4—201no—
382#235—102no—
383#235—201no—
384C2×D12—51no—
385C2×C4×D3—51no—
386C2×C4×D3—101no—
387C2×C4×D3—101no—
388C2×C4×D3—101no—
389C2×Dic6—51no—
390C3×D8—41no—
391C2×C3×C8—41no—
392C2×C3×C8C22×D511yescharacteristic
393C2×C3×C8C22×D511yescharacteristic
394C3×C4⋊C4C22×D511yescharacteristic
395C3×C4⋊C4C22×D511yescharacteristic
396C3×C22⋊C4—21no—
397C3×C22⋊C4—21no—
398#217—51no—
399#217—101no—
400#217—101no—
401#217—101no—
402#217—101no—
403#217—101no—
404#214—201no—
405#213—102no—
406(C2×D3)⋊C4—51no—
407(C2×D3)⋊C4—101no—
408(C2×D3)⋊C4—101no—
409C4⋊Dic3—51no—
410C4⋊Dic3—51no—
411C4⋊Dic3—101no—
412C4⋊Dic3—101no—
413Dic3⋊C4—51no—
414Dic3⋊C4—101no—
415Dic3⋊C4—101no—
416C4×Dic3—51no—
417C4×Dic3—101no—
418C2×C3⋊C8—51no—
419C2×C3⋊C8—51no—
420D3×C8—201no—
421C23×C5—21no—
422C23×C5—21no—
423C23×C5D3×D411yescharacteristic
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—21no—
433C5×D4—81no—
434C5×D4—81no—
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—122no—
443C22⋊D5—122no—
444C22⋊D5—122no—
445C2×Dic5—31no—
446C2×Dic5—31no—
447C2×Dic5—31no—
448C2×Dic5—61no—
449C2×Dic5—61no—
450C2×Dic5—61no—
451C2×Dic5—241no—
452D20—32no—
453D20—61no—
454C4×D5—61no—
455C4×D5—61no—
456C4×D5—122no—
457C4×D5—241no—
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×C8C2×D1511yescharacteristic, complemented
472#126—301no—
473#125—151no—
474#124—151no—
475#123—301no—
476#123—301no—
477C22⋊Q8—151no—
478#121—151no—
479#121—301no—
480#121—301no—
481#121C2×D1511yescharacteristic
482#121C2×D1511yescharacteristic, complemented
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#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×C8—151no—
508C2×C3×C5—41no—
509C2×C3×C5—81no—
510C2×C3×C5—81no—
511C2×C3×C5#54611yescharacteristic
512C2×C3×C5C2×#13511yescharacteristic
513C2×C3×C5#57611yescharacteristic
514D15—22no—
515D15—42no—
516C23×C3—21no—
517C23×C3—21no—
518C23×C3D4×D511yescharacteristic
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—21no—
528C3×D4—81no—
529C3×D4—81no—
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—202no—
538#67—202no—
539#67—202no—
540C2×Dic3—51no—
541C2×Dic3—51no—
542C2×Dic3—51no—
543C2×Dic3—101no—
544C2×Dic3—101no—
545C2×Dic3—101no—
546C2×Dic3—401no—
547D12—52no—
548D12—101no—
549C4×D3—101no—
550C4×D3—101no—
551C4×D3—202no—
552C4×D3—401no—
553C4×D3—401no—
554Dic6—101no—
555Dic6—101no—
556C3×C8—21no—
557C3×C8—21no—
558C3⋊C8—101no—
559C3⋊C8—101no—
560C22×C5—21no—
561C22×C5—21no—
562C22×C5—21no—
563C22×C5—41no—
564C22×C5—41no—
565C22×C5—41no—
566C22×C5—41no—
567C22×C5—41no—
568C22×C5—41no—
569C22×C5C2×D3×D411yescharacteristic
570C2×D5—32no—
571C2×D5—61no—
572C2×D5—61no—
573C2×D5—62no—
574C2×D5—121no—
575C2×D5—121no—
576C2×D5—244no—
577C4×C5—21no—
578C4×C5—41no—
579C4×C5—41no—
580C4×C5#100411yescharacteristic
581C4×C5D3×#4111yescharacteristic
582Dic5—61no—
583Dic5—61no—
584Dic5—61no—
585Dic5—121no—
586Dic5—121no—
587Dic5—121no—
588C24—301no—
589#41—302no—
590#41—601no—
591C2×Q8—151no—
592C2×D4—21no—
593C2×D4—21no—
594C2×D4—151no—
595C2×D4—151no—
596C2×D4—301no—
597C2×D4—302no—
598C2×D4—301no—
599C2×D4—301no—
600C2×D4—601no—
601C2×D4C22×D1511yescharacteristic
602C2×D4C22×D1511yescharacteristic
603C22×C4—151no—
604C22×C4—301no—
605C22×C4—301no—
606C22×C4—301no—
607C22×C4—301no—
608C22×C4C22×D1511yescharacteristic
609SD16—601no—
610D8—41no—
611D8—302no—
612C2×C8—41no—
613C2×C8—151no—
614C2×C8—151no—
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—151no—
639C42—301no—
640C3×C5#329711yescharacteristic, complemented, Hall
641C22×C3—21no—
642C22×C3—21no—
643C22×C3—21no—
644C22×C3—41no—
645C22×C3—41no—
646C22×C3—41no—
647C22×C3—41no—
648C22×C3—41no—
649C22×C3—41no—
650C22×C3C2×D4×D511yescharacteristic
651C2×D3—52no—
652C2×D3—101no—
653C2×D3—101no—
654C2×D3—102no—
655C2×D3—201no—
656C2×D3—201no—
657C2×D3—404no—
658C3×C4—21no—
659C3×C4—41no—
660C3×C4—41no—
661C3×C4#414411yescharacteristic
662C3×C4D5×#4111yescharacteristic
663Dic3—101no—
664Dic3—101no—
665Dic3—101no—
666Dic3—201no—
667Dic3—201no—
668Dic3—201no—
669C2×C5—41no—
670C2×C5—81no—
671C2×C5—81no—
672C2×C5#561011yescharacteristic
673C2×C5#575711yescharacteristic
674C2×C5D3×#13511yescharacteristic
675D5—62no—
676D5—122no—
677C23—21no—
678C23—21no—
679C23—151no—
680C23—301no—
681C23—602no—
682C23—602no—
683C23—1201no—
684C23D4×D1511yescharacteristic
685Q8—301no—
686Q8—301no—
687D4—21no—
688D4—21no—
689D4—21no—
690D4—21no—
691D4—81no—
692D4—81no—
693D4—152no—
694D4—302no—
695D4—301no—
696D4—602no—
697D4—602no—
698D4—602no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—21no—
702C2×C4—21no—
703C2×C4—151no—
704C2×C4—151no—
705C2×C4—151no—
706C2×C4—301no—
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—41no—
722C2×C3—81no—
723C2×C3—81no—
724C2×C3#6594411yescharacteristic
725C2×C3#6609111yescharacteristic
726C2×C3D5×#13511yescharacteristic
727D3—102no—
728D3—202no—
729C5#8072511yescharacteristic, complemented, Sylow
730C22—21no—
731C22—21no—
732C22—21no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—41no—
737C22—41no—
738C22—41no—
739C22—152no—
740C22—301no—
741C22—301no—
742C22—302no—
743C22—601no—
744C22—601no—
745C22—1204no—
746C22C2×D4×D1511yescharacteristic
747C4—21no—
748C4—41no—
749C4—41no—
750C4—301no—
751C4—301no—
752C4—301no—
753C4—601no—
754C4—601no—
755C4—601no—
756C4#9209511yescharacteristic
757C4#41×D1511yescharacteristic
758C3#1061245611yescharacteristic, complemented, Sylow
759C2—41no—
760C2—81no—
761C2—81no—
762C2—302no—
763C2—602no—
764C2#1175636911yescharacteristic
765C2#1175651611yescharacteristic
766C2D15×#13511yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#466C2
socleC22×C3×C5C22×D4
hypercenter#466D15
hypocenterC3×C5#3297
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ #466

Complements

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

NH ≅ G/Ntype
1. #11756373C2semidirect
2. #11756371C2semidirect
3. C3×C5×#466C2semidirect
4. #11751257C2semidirect
5. #11751254C2semidirect
6. #11751214C2semidirect
7. C8×#1220C2semidirect
8. #11751138C2semidirect
9. #11751136C2semidirect
10. #11750992C2semidirect
11. #11750985C2semidirect
12. #11750879C2semidirect
13. D15×#102C2semidirect
14. #11750869C2semidirect
15. #11750857C2semidirect
20. C22×C3×C5×C8C22semidirect
22. C3×C5×#121C22semidirect
29. D4×Dic15C22semidirect
30. C2×#6716C22semidirect
33. #91815C22semidirect
38. #91779C22semidirect
43. C3×C5×#107C22semidirect
45. C3×C5×#102C22semidirect
48. #91114C22semidirect
52. #91100C22semidirect
53. #91100C22semidirect
54. #91098C22semidirect
55. C8×Dic15C22semidirect
56. #91094C22semidirect
58. #91092C22semidirect
59. #91091C22semidirect
63. C5×#466D3semidirect
130. C3×#466D5semidirect
146. C22×C5×C8C2×D3semidirect
148. C5×#121C2×D3semidirect
169. C5×#107C2×D3semidirect
171. C5×#102C2×D3semidirect
234. C22×C3×C8C2×D5semidirect
236. C3×#121C2×D5semidirect
257. C3×#107C2×D5semidirect
259. C3×#102C2×D5semidirect
332. #466D15semidirect
471. C22×C8C2×D15semidirect
482. #121C2×D15semidirect
492. #107C2×D15semidirect
504. #102C2×D15semidirect
640. C3×C5#3297semidirect
729. C5#80725semidirect
758. C3#10612456semidirect

Maximal subgroups

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

subgroupindex
#117563732
#117563712
C3×C5×#4662
#117512572
#117512542
#117512142
C8×#12202
#117511382
#117511362
#117509922
#117509852
#117508792
D15×#1022
#117508692
#117508572
#106124563
#807255