Finite Group Databasebeta

← #14458628

Subgroups — #14458628

Order 1920.

816 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11756340C211yesmaximal, characteristic, complemented
2#11756313C211yesmaximal, characteristic
3C3×C4×C5×SD16C211yesmaximal, characteristic, complemented
4#11751274C211yesmaximal, characteristic, complemented
5#11751270C211yesmaximal, characteristic, complemented
6#11751129C211yesmaximal, characteristic, complemented
7#11751110C211yesmaximal, characteristic, complemented
8#11750967C211yesmaximal, characteristic, complemented
9#11750963C211yesmaximal, characteristic, complemented
10#11750914C211yesmaximal, characteristic, complemented
11#11750908C211yesmaximal, characteristic, complemented
12#11750873C211yesmaximal, characteristic, complemented
13D15×#102C211yesmaximal, characteristic, complemented
14#11750798C211yesmaximal, characteristic, complemented
15C8×D60C211yesmaximal, characteristic, complemented
16#10611408—31nomaximal, Hall
17C2×#6819C2211yescharacteristic
18C2×D4×D15C2211yescharacteristic
19C2×C3×C5×SD16C2211yescharacteristic
20C3×C4×C5×Q8C2211yescharacteristic, complemented
21C3×C4×C5×D4C2211yescharacteristic
22#91835C2211yescharacteristic
23#91835C2211yescharacteristic, complemented
24C2×#6718C2211yescharacteristic, complemented
25C2×#6717C2211yescharacteristic
26#91819—21no—
27C2×#6714—21no—
28C2×C8×D15C2211yescharacteristic
29C2×C8×D15C2211yescharacteristic, complemented
30#91786C2211yescharacteristic
31#91784C2211yescharacteristic
32#91783—21no—
33#91781C2211yescharacteristic, complemented
34C4⋊C4×D15C2211yescharacteristic
35#91778—21no—
36#91775—21no—
37#91771—21no—
38#91765—21no—
39#91764C2211yescharacteristic
40C4×D60C2211yescharacteristic
41#91761—21no—
42#91759C2211yescharacteristic, complemented
43C3×C5×#106C2211yescharacteristic, complemented
44C3×C5×#103C2211yescharacteristic, complemented
45C3×C5×#102C2211yescharacteristic
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#79677—51nomaximal, Hall
61#65915—31no—
62#65888—31no—
63C4×C5×SD16D311yescharacteristic, complemented
64#65462—31no—
65#65458—31no—
66#65317—31no—
67#65298—31no—
68#65155—31no—
69#65151—31no—
70#65102—31no—
71#65096—31no—
72#65061—31no—
73D5×#102—31no—
74#64986—31no—
75C8×D20—31no—
76C23×D15—21no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×C3×C5×D4C2311yescharacteristic
79C22×C3×C4×C5—21no—
80C2×#1220—21no—
81C2×#1220—21no—
82C22×Dic15—21no—
83#6819—22no—
84#6819—41no—
85D4×D15—22no—
86D4×D15—41no—
87C2×D60—21no—
88C2×D60D411yescharacteristic
89C2×D60C2311yescharacteristic
90C2×C4×D15—21no—
91C2×C4×D15C2311yescharacteristic
92C2×C4×D15C2311yescharacteristic
93C2×Dic30C2311yescharacteristic
94C3×C5×SD16—22no—
95C2×C3×C5×C8C2311yescharacteristic
96C2×C3×C5×C8C2311yescharacteristic
97C3×C5×C4⋊C4—21no—
98C3×C5×C4⋊C4C2311yescharacteristic
99C3×C5×C4⋊C4C2311yescharacteristic
100C3×C5×C22⋊C4—21no—
101C3×C42×C5—21no—
102C3×C42×C5C2311yescharacteristic
103#6718—41no—
104#6717—41no—
105#6714—21no—
106#6714—21no—
107#6714—21no—
108#6714—21no—
109#6714—21no—
110#6714—21no—
111#6714—21no—
112#6714D411yescharacteristic
113#6714D411yescharacteristic
114C4⋊Dic15—21no—
115C4⋊Dic15D411yescharacteristic
116C4⋊Dic15C2311yescharacteristic
117C4⋊Dic15C2311yescharacteristic
118#6712—21no—
119#6712—21no—
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#5581—51no—
129#5554—51no—
130C3×C4×SD16D511yescharacteristic, complemented
131#5173—51no—
132#5169—51no—
133#5028—51no—
134#5009—51no—
135#4866—51no—
136#4862—51no—
137#4813—51no—
138#4807—51no—
139#4772—51no—
140D3×#102—51no—
141#4697—51no—
142C8×D12—51no—
143C2×#711—31no—
144C2×D4×D5—31no—
145C2×C5×SD16C2×D311yescharacteristic
146C4×C5×Q8C2×D311yescharacteristic, complemented
147C4×C5×D4C2×D311yescharacteristic
148#4092—31no—
149#4092—31no—
150C2×#689—31no—
151C2×#688—31no—
152#4076—61no—
153C2×#685—61no—
154C2×C8×D5—31no—
155C2×C8×D5—31no—
156#4043—31no—
157#4041—31no—
158#4040—61no—
159#4038—31no—
160D5×C4⋊C4—31no—
161#4035—61no—
162#4032—61no—
163#4028—61no—
164#4022—61no—
165#4021—31no—
166C4×D20—31no—
167#4018—61no—
168#4016—31no—
169C5×#106C2×D311yescharacteristic, complemented
170C5×#103C2×D311yescharacteristic, complemented
171C5×#102C2×D311yescharacteristic
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#3296—151noSylow
187C23×C3×C5—21no—
188C22×D15—21no—
189C22×D15—42no—
190C22×D15—42no—
191C22×D15—81no—
192C22×D15C2×D411yescharacteristic
193C22×D15C2×D411yescharacteristic
194C3×C5×Q8—21no—
195C3×C5×Q8—21no—
196C3×C5×D4—21no—
197C3×C5×D4#4112yes—
198C2×C3×C4×C5—21no—
199C2×C3×C4×C5—21no—
200C2×C3×C4×C5—21no—
201C2×C3×C4×C5—81no—
202C2×C3×C4×C5C2×D411yescharacteristic
203C2×C3×C4×C5C2×D411yescharacteristic
204C2×C3×C4×C5C2411yescharacteristic
205#1220—42no—
206#1220—42no—
207C2×Dic15—21no—
208C2×Dic15—21no—
209C2×Dic15—21no—
210C2×Dic15—42no—
211C2×Dic15C2×D411yescharacteristic
212C2×Dic15C2×D411yescharacteristic
213D60—22no—
214D60—21no—
215D60—21no—
216D60—81no—
217C4×D15—21no—
218C4×D15—21no—
219C4×D15—21no—
220C4×D15—21no—
221C4×D15—42no—
222Dic30—21no—
223Dic30—21no—
224C3×C5×C8—21no—
225C3×C5×C8—21no—
226C3⋊#168—21no—
227C3⋊#168—21no—
228C2×#237—51no—
229C2×D3×D4—51no—
230C2×C3×SD16C2×D511yescharacteristic
231C3×C4×Q8C2×D511yescharacteristic, complemented
232C3×C4×D4C2×D511yescharacteristic
233#946—51no—
234#946—51no—
235C2×#216—51no—
236C2×#215—51no—
237#930—101no—
238C2×(C2×D3)⋊C4—101no—
239C2×D3×C8—51no—
240C2×D3×C8—51no—
241#897—51no—
242#895—51no—
243#894—101no—
244#892—51no—
245D3×C4⋊C4—51no—
246#889—101no—
247#886—101no—
248#882—101no—
249#876—101no—
250#875—51no—
251C4×D12—51no—
252#872—101no—
253#870—51no—
254C3×#106C2×D511yescharacteristic, complemented
255C3×#103C2×D511yescharacteristic, complemented
256C3×#102C2×D511yescharacteristic
257C3×C4×C8C2×D511yescharacteristic, complemented
258#832—51no—
259#832—51no—
260#821—51no—
261#821—51no—
262(C2×D3)⋊C8—51no—
263(C2×D3)⋊C8—51no—
264#816—51no—
265#816—51no—
266#810—51no—
267#809—51no—
268#808—51no—
269#807—51no—
270C4⋊(C3⋊C8)—51no—
271C23×D5—61no—
272C2×C5×Q8C22×D311yescharacteristic
273C2×C5×D4C22×D311yescharacteristic
274C22×C4×C5—21no—
275C2×C22⋊D5—61no—
276C2×C22⋊D5—61no—
277C22×Dic5—61no—
278#711—62no—
279#711—121no—
280D4×D5—62no—
281D4×D5—121no—
282C2×D20—31no—
283C2×D20—31no—
284C2×D20—61no—
285C2×C4×D5—31no—
286C2×C4×D5—31no—
287C2×C4×D5—61no—
288C2×Dic10—31no—
289C5×SD16—22no—
290C2×C5×C8C22×D311yescharacteristic
291C2×C5×C8C22×D311yescharacteristic
292C5×C4⋊C4—21no—
293C5×C4⋊C4C22×D311yescharacteristic
294C5×C4⋊C4C22×D311yescharacteristic
295C5×C22⋊C4—21no—
296C42×C5—21no—
297C42×C5C22×D311yescharacteristic
298#689—121no—
299#688—121no—
300#685—31no—
301#685—31no—
302#685—61no—
303#685—61no—
304#685—61no—
305#685—61no—
306#685—61no—
307#685—61no—
308#685—61no—
309C4⋊Dic5—31no—
310C4⋊Dic5—31no—
311C4⋊Dic5—31no—
312C4⋊Dic5—61no—
313#683—61no—
314#683—61no—
315#683—61no—
316#683—61no—
317#683—61no—
318C4×Dic5—61no—
319C2×#168—31no—
320C2×#168—31no—
321C8×D5—121no—
322C8×D5—121no—
323#552—151no—
324#546—151no—
325#488—151no—
326#483—151no—
327#482—151no—
328#478—151no—
329#467—151no—
330#465—151no—
331#464—151no—
332#452—151no—
333#450—151no—
334C4×SD16D1511yescharacteristic, complemented
335C8×D4—151no—
336#416—151no—
337C2×#102—151no—
338C22×C3×C5—22no—
339C22×C3×C5—41no—
340C22×C3×C5—41no—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—21no—
343C2×D15—21no—
344C2×D15—21no—
345C2×D15—21no—
346C2×D15—21no—
347C2×D15—41no—
348C2×D15—41no—
349C2×D15—41no—
350C2×D15—84no—
351C2×D15#13512yes—
352C3×C4×C5—21no—
353C3×C4×C5—21no—
354C3×C4×C5—41no—
355C3×C4×C5—41no—
356C3×C4×C5—41no—
357C3×C4×C5C2×#4111yescharacteristic
358C3×C4×C5H(5,𝔽2)11yescharacteristic
359Dic15—21no—
360Dic15—21no—
361Dic15—41no—
362Dic15—41no—
363Dic15—41no—
364C23×D3—101no—
365C2×C3×Q8C22×D511yescharacteristic
366C2×C3×D4C22×D511yescharacteristic
367C22×C3×C4—21no—
368C2×#67—101no—
369C2×#67—101no—
370C22×Dic3—101no—
371#237—102no—
372#237—201no—
373D3×D4—102no—
374D3×D4—201no—
375C2×D12—51no—
376C2×D12—51no—
377C2×D12—101no—
378C2×C4×D3—51no—
379C2×C4×D3—51no—
380C2×C4×D3—101no—
381C2×Dic6—51no—
382C3×SD16—22no—
383C2×C3×C8C22×D511yescharacteristic
384C2×C3×C8C22×D511yescharacteristic
385C3×C4⋊C4—21no—
386C3×C4⋊C4C22×D511yescharacteristic
387C3×C4⋊C4C22×D511yescharacteristic
388C3×C22⋊C4—21no—
389C3×C42—21no—
390C3×C42C22×D511yescharacteristic
391#216—201no—
392#215—201no—
393(C2×D3)⋊C4—51no—
394(C2×D3)⋊C4—51no—
395(C2×D3)⋊C4—101no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399(C2×D3)⋊C4—101no—
400(C2×D3)⋊C4—101no—
401(C2×D3)⋊C4—101no—
402C4⋊Dic3—51no—
403C4⋊Dic3—51no—
404C4⋊Dic3—51no—
405C4⋊Dic3—101no—
406Dic3⋊C4—101no—
407Dic3⋊C4—101no—
408Dic3⋊C4—101no—
409Dic3⋊C4—101no—
410Dic3⋊C4—101no—
411C4×Dic3—101no—
412C2×C3⋊C8—51no—
413C2×C3⋊C8—51no—
414D3×C8—201no—
415D3×C8—201no—
416C23×C5—21no—
417C22×D5—31no—
418C22×D5—31no—
419C22×D5—61no—
420C22×D5—122no—
421C22×D5—122no—
422C22×D5—241no—
423C5×Q8—21no—
424C5×Q8—21no—
425C5×D4—21no—
426C5×D4#23512yes—
427C2×C4×C5—21no—
428C2×C4×C5—21no—
429C2×C4×C5—21no—
430C2×C4×C5—81no—
431C2×C4×C5D3×D411yescharacteristic
432C2×C4×C5D3×D411yescharacteristic
433C2×C4×C5C23×D311yescharacteristic
434C22⋊D5—122no—
435C22⋊D5—122no—
436C2×Dic5—31no—
437C2×Dic5—31no—
438C2×Dic5—61no—
439C2×Dic5—61no—
440C2×Dic5—61no—
441C2×Dic5—122no—
442D20—62no—
443D20—61no—
444D20—61no—
445D20—241no—
446C4×D5—61no—
447C4×D5—61no—
448C4×D5—61no—
449C4×D5—61no—
450C4×D5—122no—
451Dic10—61no—
452Dic10—61no—
453C5×C8—21no—
454C5×C8—21no—
455#168—61no—
456#168—61no—
457C2×#41—151no—
458C22×D4—151no—
459C2×Q16—151no—
460C2×SD16—151no—
461C2×SD16C2×D1511yescharacteristic
462C22×C8—151no—
463C22×C8—151no—
464#126—301no—
465#125—151no—
466#125—301no—
467#124—151no—
468#123—301no—
469#123—301no—
470C22⋊Q8—151no—
471C22⋊Q8—151no—
472C22⋊Q8—151no—
473#121—151no—
474#121—301no—
475#120—301no—
476C4×Q8C2×D1511yescharacteristic, complemented
477C4×D4—151no—
478C4×D4C2×D1511yescharacteristic
479#117—151no—
480#117—301no—
481C2×C4⋊C4—151no—
482C2×C22⋊C4—301no—
483#107—151no—
484#106—151no—
485#106C2×D1511yescharacteristic, complemented
486C4⋊C8—151no—
487#103—151no—
488#103—151no—
489#103—151no—
490#103C2×D1511yescharacteristic, complemented
491#102—151no—
492#102—151no—
493#102—151no—
494#102—151no—
495#102—151no—
496#102C2×D1511yescharacteristic
497C22⋊C8—151no—
498C22⋊C8—151no—
499C4×C8C2×D1511yescharacteristic, complemented
500C2×C3×C5—42no—
501C2×C3×C5#54611yescharacteristic
502C2×C3×C5C2×#13511yescharacteristic
503C2×C3×C5#57711yescharacteristic
504D15—22no—
505D15—41no—
506D15—81no—
507C23×C3—21no—
508C22×D3—51no—
509C22×D3—51no—
510C22×D3—101no—
511C22×D3—202no—
512C22×D3—202no—
513C22×D3—401no—
514C3×Q8—21no—
515C3×Q8—21no—
516C3×D4—21no—
517C3×D4#70912yes—
518C2×C3×C4—21no—
519C2×C3×C4—21no—
520C2×C3×C4—21no—
521C2×C3×C4—81no—
522C2×C3×C4D4×D511yescharacteristic
523C2×C3×C4D4×D511yescharacteristic
524C2×C3×C4C23×D511yescharacteristic
525#67—202no—
526#67—202no—
527C2×Dic3—51no—
528C2×Dic3—51no—
529C2×Dic3—101no—
530C2×Dic3—101no—
531C2×Dic3—101no—
532C2×Dic3—202no—
533D12—102no—
534D12—101no—
535D12—101no—
536D12—401no—
537C4×D3—101no—
538C4×D3—101no—
539C4×D3—101no—
540C4×D3—101no—
541C4×D3—202no—
542Dic6—101no—
543Dic6—101no—
544C3×C8—21no—
545C3×C8—21no—
546C3⋊C8—101no—
547C3⋊C8—101no—
548C22×C5—22no—
549C22×C5—41no—
550C22×C5—41no—
551C22×C5C2×D3×D411yescharacteristic
552C2×D5—32no—
553C2×D5—61no—
554C2×D5—61no—
555C2×D5—61no—
556C2×D5—61no—
557C2×D5—61no—
558C2×D5—121no—
559C2×D5—121no—
560C2×D5—121no—
561C2×D5—244no—
562C4×C5—21no—
563C4×C5—21no—
564C4×C5—41no—
565C4×C5—41no—
566C4×C5—41no—
567C4×C5C2×#23511yescharacteristic
568C4×C5#100911yescharacteristic
569Dic5—61no—
570Dic5—61no—
571Dic5—121no—
572Dic5—121no—
573Dic5—121no—
574C24—301no—
575#41—302no—
576#41—601no—
577C2×Q8—151no—
578C2×Q8C22×D1511yescharacteristic
579C2×D4—151no—
580C2×D4—151no—
581C2×D4—301no—
582C2×D4—301no—
583C2×D4—302no—
584C2×D4—301no—
585C2×D4—601no—
586C2×D4C22×D1511yescharacteristic
587C22×C4—21no—
588C22×C4—151no—
589C22×C4—151no—
590C22×C4—301no—
591C22×C4—301no—
592Q16—601no—
593SD16—22no—
594SD16—601no—
595C2×C8—151no—
596C2×C8—151no—
597C2×C8—601no—
598C2×C8—601no—
599C2×C8C22×D1511yescharacteristic
600C2×C8C22×D1511yescharacteristic
601C4⋊C4—21no—
602C4⋊C4—151no—
603C4⋊C4—151no—
604C4⋊C4—151no—
605C4⋊C4—301no—
606C4⋊C4—301no—
607C4⋊C4—301no—
608C4⋊C4—301no—
609C4⋊C4—301no—
610C4⋊C4—301no—
611C4⋊C4C22×D1511yescharacteristic
612C4⋊C4C22×D1511yescharacteristic
613C22⋊C4—21no—
614C22⋊C4—151no—
615C22⋊C4—151no—
616C22⋊C4—301no—
617C22⋊C4—301no—
618C22⋊C4—301no—
619C22⋊C4—301no—
620C22⋊C4—301no—
621C22⋊C4—301no—
622C22⋊C4—301no—
623C42—21no—
624C42—301no—
625C42C22×D1511yescharacteristic
626C3×C5#329611yescharacteristic, complemented, Hall
627C22×C3—22no—
628C22×C3—41no—
629C22×C3—41no—
630C22×C3C2×D4×D511yescharacteristic
631C2×D3—52no—
632C2×D3—101no—
633C2×D3—101no—
634C2×D3—101no—
635C2×D3—101no—
636C2×D3—101no—
637C2×D3—201no—
638C2×D3—201no—
639C2×D3—201no—
640C2×D3—404no—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—41no—
644C3×C4—41no—
645C3×C4—41no—
646C3×C4C2×#70911yescharacteristic
647C3×C4#414911yescharacteristic
648Dic3—101no—
649Dic3—101no—
650Dic3—201no—
651Dic3—201no—
652Dic3—201no—
653C2×C5—42no—
654C2×C5#555011yescharacteristic
655C2×C5#576211yescharacteristic
656C2×C5D3×#13511yescharacteristic
657D5—62no—
658D5—121no—
659D5—241no—
660C23—21no—
661C23—151no—
662C23—151no—
663C23—301no—
664C23—602no—
665C23—602no—
666C23—1201no—
667Q8—21no—
668Q8—21no—
669Q8—301no—
670Q8—301no—
671D4—21no—
672D4—302no—
673D4—301no—
674D4—301no—
675D4—602no—
676D4—602no—
677D4—1201no—
678D4#681712yes—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—81no—
683C2×C4—151no—
684C2×C4—151no—
685C2×C4—301no—
686C2×C4—301no—
687C2×C4—301no—
688C2×C4—301no—
689C2×C4—301no—
690C2×C4—301no—
691C2×C4—301no—
692C2×C4—602no—
693C2×C4—602no—
694C2×C4D4×D1511yescharacteristic
695C2×C4D4×D1511yescharacteristic
696C2×C4C23×D1511yescharacteristic
697C8—21no—
698C8—21no—
699C8—301no—
700C8—301no—
701C2×C3—42no—
702C2×C3#6588411yescharacteristic
703C2×C3#6609611yescharacteristic
704C2×C3D5×#13511yescharacteristic
705D3—102no—
706D3—201no—
707D3—401no—
708C5#7967711yescharacteristic, complemented, Sylow
709C22—22no—
710C22—41no—
711C22—41no—
712C22—152no—
713C22—301no—
714C22—301no—
715C22—301no—
716C22—301no—
717C22—301no—
718C22—601no—
719C22—601no—
720C22—601no—
721C22—1204no—
722C22C2×D4×D1511yescharacteristic
723C4—21no—
724C4—21no—
725C4—41no—
726C4—41no—
727C4—41no—
728C4—301no—
729C4—301no—
730C4—601no—
731C4—601no—
732C4—601no—
733C4C2×#681711yescharacteristic
734C4#9210011yescharacteristic
735C3#1061140811yescharacteristic, complemented, Sylow
736C2—42no—
737C2—302no—
738C2—601no—
739C2—1201no—
740C2#1175630911yescharacteristic
741C2#1175652111yescharacteristic
742C2D15×#13511yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C4×C5×SD16C2
socleC22×C3×C5C22×D4
prime radical#11756313C2
hypercenterC4×SD16D15
hypocenterC3×C5#3296
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×SD16

Complements

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

NH ≅ G/Ntype
1. #11756340C2semidirect
3. C3×C4×C5×SD16C2semidirect
4. #11751274C2semidirect
5. #11751270C2semidirect
6. #11751129C2semidirect
7. #11751110C2semidirect
8. #11750967C2semidirect
9. #11750963C2semidirect
10. #11750914C2semidirect
11. #11750908C2semidirect
12. #11750873C2semidirect
13. D15×#102C2semidirect
14. #11750798C2semidirect
15. C8×D60C2semidirect
20. C3×C4×C5×Q8C22semidirect
23. #91835C22semidirect
24. C2×#6718C22semidirect
29. C2×C8×D15C22semidirect
33. #91781C22semidirect
42. #91759C22semidirect
43. C3×C5×#106C22semidirect
44. C3×C5×#103C22semidirect
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×SD16D3semidirect
130. C3×C4×SD16D5semidirect
146. C4×C5×Q8C2×D3semidirect
169. C5×#106C2×D3semidirect
170. C5×#103C2×D3semidirect
172. C4×C5×C8C2×D3semidirect
231. C3×C4×Q8C2×D5semidirect
254. C3×#106C2×D5semidirect
255. C3×#103C2×D5semidirect
257. C3×C4×C8C2×D5semidirect
334. C4×SD16D15semidirect
476. C4×Q8C2×D15semidirect
485. #106C2×D15semidirect
490. #103C2×D15semidirect
499. C4×C8C2×D15semidirect
626. C3×C5#3296semidirect
708. C5#79677semidirect
735. C3#10611408semidirect

Maximal subgroups

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

subgroupindex
#117563402
#117563132
C3×C4×C5×SD162
#117512742
#117512702
#117511292
#117511102
#117509672
#117509632
#117509142
#117509082
#117508732
D15×#1022
#117507982
C8×D602
#106114083
#796775