Finite Group Databasebeta

← #14458631

Subgroups — #14458631

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#11756401C211yesmaximal, characteristic, complemented
2#11756389C211yesmaximal, characteristic
3C3×C5×#467C211yesmaximal, characteristic, complemented
4#11751288C211yesmaximal, characteristic, complemented
5#11751286C211yesmaximal, characteristic, complemented
6C2×#91105C211yesmaximal, characteristic, complemented
7C8×#1220C211yesmaximal, characteristic, complemented
8#11751147C211yesmaximal, characteristic, complemented
9#11751144C211yesmaximal, characteristic, complemented
10#11750992C211yesmaximal, characteristic, complemented
11#11750986C211yesmaximal, characteristic, complemented
12#11750908C211yesmaximal, characteristic, complemented
13#11750905C211yesmaximal, characteristic, complemented
14#11750901C211yesmaximal, characteristic, complemented
15#11750889C211yesmaximal, characteristic, complemented
16#10612506—31nomaximal, Hall
17C2×#6821C2211yescharacteristic
18C22×D60C2211yescharacteristic
19C2×C3×C5×Q16C2211yescharacteristic, complemented
20C22×C3×C5×C8C2211yescharacteristic
21C3×C5×C22⋊Q8C2211yescharacteristic
22C3×C5×C22⋊Q8C2211yescharacteristic
23#91836C2211yescharacteristic
24#91835C2211yescharacteristic, complemented
25Q8×Dic15C2211yescharacteristic, complemented
26C2×#6717C2211yescharacteristic
27C2×#6717C2211yescharacteristic
28C4×#1220C2211yescharacteristic
29C2×C4⋊Dic15C2211yescharacteristic
30C2×C8×D15C2211yescharacteristic, complemented
31#91787—21no—
32#91784—21no—
33#91784C2211yescharacteristic
34#91783—21no—
35#91782C2211yescharacteristic
36#91781C2211yescharacteristic, complemented
37#91779—21no—
38#91779C2211yescharacteristic, complemented
39#91775—21no—
40#91771—21no—
41C22⋊C4×D15—21no—
42#91766—21no—
43C3×C5×#107C2211yescharacteristic, complemented
44C3×C5×#103C2211yescharacteristic, complemented
45C3×C5×#103C2211yescharacteristic, 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#91092C2211yescharacteristic, complemented
59#91092C2211yescharacteristic, complemented
60#80775—51nomaximal, Hall
61#65976—31no—
62#65964—31no—
63C5×#467D311yescharacteristic, complemented
64#65476—31no—
65#65474—31no—
66C2×#3953—31no—
67C8×C22⋊D5—31no—
68#65335—31no—
69#65332—31no—
70#65180—31no—
71#65174—31no—
72#65096—31no—
73#65093—31no—
74#65089—31no—
75#65077—31no—
76C23×D15—21no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×C3×C5×Q8C2311yescharacteristic
79C22×C3×C4×C5C2311yescharacteristic
80C2×#1220D411yescharacteristic
81C22×Dic15—21no—
82#6821—22no—
83#6821—41no—
84C2×D60—22no—
85C2×D60—21no—
86C2×D60—21no—
87C2×D60—21no—
88C2×D60—41no—
89C2×D60C2311yescharacteristic
90C2×D60C2311yescharacteristic
91C2×C4×D15—21no—
92C2×C4×D15—21no—
93C2×C4×D15C2311yescharacteristic
94C3×C5×Q16—41no—
95C2×C3×C5×C8—41no—
96C2×C3×C5×C8C2311yescharacteristic
97C2×C3×C5×C8C2311yescharacteristic
98C3×C5×C4⋊C4—21no—
99C3×C5×C4⋊C4—21no—
100C3×C5×C4⋊C4C2311yescharacteristic
101C3×C5×C4⋊C4C2311yescharacteristic
102C3×C5×C22⋊C4—21no—
103C3×C5×C22⋊C4—21no—
104#6719D411yescharacteristic
105#6717—22no—
106#6717—41no—
107#6714—21no—
108#6714—21no—
109#6714—21no—
110#6714—21no—
111#6714—21no—
112#6714—21no—
113#6714D411yescharacteristic
114C4⋊Dic15—21no—
115C4⋊Dic15—21no—
116C4⋊Dic15—21no—
117C4⋊Dic15C2311yescharacteristic
118C4⋊Dic15C2311yescharacteristic
119#6712—21no—
120#6712—21no—
121#6712D411yescharacteristic
122C4×Dic15—21no—
123C4×Dic15—21no—
124C4×Dic15C2311yescharacteristic
125C2×C3⋊#168C2311yescharacteristic
126C2×C3⋊#168C2311yescharacteristic
127C8×D15—41no—
128#5642—51no—
129#5630—51no—
130C3×#467D511yescharacteristic, complemented
131#5187—51no—
132#5185—51no—
133C2×#821—51no—
134C8×#67—51no—
135#5046—51no—
136#5043—51no—
137#4891—51no—
138#4885—51no—
139#4807—51no—
140#4804—51no—
141#4800—51no—
142#4788—51no—
143C2×#713—31no—
144C22×D20—31no—
145C2×C5×Q16C2×D311yescharacteristic, complemented
146C22×C5×C8C2×D311yescharacteristic
147C5×C22⋊Q8C2×D311yescharacteristic
148C5×C22⋊Q8C2×D311yescharacteristic
149#4093—31no—
150#4092—31no—
151Q8×Dic5—31no—
152C2×#688—31no—
153C2×#688—31no—
154C4×C22⋊D5—31no—
155C2×C4⋊Dic5—31no—
156C2×C8×D5—31no—
157#4044—61no—
158#4041—31no—
159#4041—61no—
160#4040—61no—
161#4039—31no—
162#4038—31no—
163#4036—31no—
164#4036—61no—
165#4032—61no—
166#4028—61no—
167D5×C22⋊C4—61no—
168#4023—61no—
169C5×#107C2×D311yescharacteristic, complemented
170C5×#103C2×D311yescharacteristic, complemented
171C5×#103C2×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#3940—31no—
185#3940—31no—
186#3296—151noSylow
187C23×C3×C5C2×D411yescharacteristic
188C22×D15—21no—
189C22×D15—21no—
190C22×D15—42no—
191C22×D15—42no—
192C22×D15—81no—
193C22×D15C2×D411yescharacteristic
194C3×C5×Q8—21no—
195C3×C5×Q8—21no—
196C3×C5×Q8—21no—
197C3×C5×Q8—21no—
198C2×C3×C4×C5—21no—
199C2×C3×C4×C5—21no—
200C2×C3×C4×C5—21no—
201C2×C3×C4×C5—21no—
202C2×C3×C4×C5—21no—
203C2×C3×C4×C5—21no—
204C2×C3×C4×C5C2×D411yescharacteristic
205C2×C3×C4×C5C2411yescharacteristic
206#1220—22no—
207C2×Dic15—21no—
208C2×Dic15—21no—
209C2×Dic15—42no—
210C2×Dic15C2×D411yescharacteristic
211C2×Dic15C2×D411yescharacteristic
212C2×Dic15C2×D411yescharacteristic
213D60—21no—
214D60—21no—
215D60—21no—
216D60—42no—
217D60—42no—
218D60—81no—
219D60#4112yes—
220C4×D15—21no—
221C4×D15—21no—
222C4×D15—42no—
223C4×D15—81no—
224C3×C5×C8—21no—
225C3×C5×C8—21no—
226C3⋊#168—21no—
227C3⋊#168—21no—
228C2×#239—51no—
229C22×D12—51no—
230C2×C3×Q16C2×D511yescharacteristic, complemented
231C22×C3×C8C2×D511yescharacteristic
232C3×C22⋊Q8C2×D511yescharacteristic
233C3×C22⋊Q8C2×D511yescharacteristic
234#947—51no—
235#946—51no—
236Q8×Dic3—51no—
237C2×#215—51no—
238C2×#215—51no—
239C4×#67—51no—
240C2×C4⋊Dic3—51no—
241C2×D3×C8—51no—
242#898—101no—
243#895—51no—
244#895—101no—
245#894—101no—
246#893—51no—
247#892—51no—
248#890—51no—
249#890—101no—
250#886—101no—
251#882—101no—
252D3×C22⋊C4—101no—
253#877—101no—
254C3×#107C2×D511yescharacteristic, complemented
255C3×#103C2×D511yescharacteristic, complemented
256C3×#103C2×D511yescharacteristic, complemented
257#835—51no—
258#835—51no—
259#830—51no—
260#821—51no—
261#821—51no—
262#821—51no—
263#821—51no—
264(C2×D3)⋊C8—51no—
265Dic3⋊C8—51no—
266C8×Dic3—51no—
267#809—51no—
268#809—51no—
269#808—51no—
270#808—51no—
271C23×D5—61no—
272C2×C5×Q8C22×D311yescharacteristic
273C2×C5×Q8C22×D311yescharacteristic
274C22×C4×C5C22×D311yescharacteristic
275C2×C22⋊D5—31no—
276C22×Dic5—61no—
277#713—62no—
278#713—121no—
279C2×D20—31no—
280C2×D20—31no—
281C2×D20—62no—
282C2×D20—61no—
283C2×D20—61no—
284C2×D20—61no—
285C2×D20—121no—
286C2×C4×D5—31no—
287C2×C4×D5—61no—
288C2×C4×D5—61no—
289C5×Q16—41no—
290C2×C5×C8—41no—
291C2×C5×C8C22×D311yescharacteristic
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—21no—
294C5×C4⋊C4—21no—
295C5×C4⋊C4C22×D311yescharacteristic
296C5×C4⋊C4C22×D311yescharacteristic
297C5×C22⋊C4—21no—
298C5×C22⋊C4—21no—
299C22⋊Dic5—31no—
300#688—62no—
301#688—121no—
302#685—31no—
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—61no—
312C4⋊Dic5—61no—
313C4⋊Dic5—61no—
314#683—31no—
315#683—61no—
316#683—61no—
317C4×Dic5—31no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C2×#168—31no—
321C2×#168—31no—
322C8×D5—121no—
323#552—151no—
324#546—151no—
325#488—151no—
326#483—151no—
327#482—151no—
328#478—151no—
329#467D1511yescharacteristic, complemented
330#465—151no—
331#464—151no—
332#452—151no—
333#450—151no—
334C4×SD16—151no—
335C8×D4—151no—
336#416—151no—
337C2×#102—151no—
338C22×C3×C5—21no—
339C22×C3×C5—21no—
340C22×C3×C5#13512yes—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—21no—
343C2×D15—22no—
344C2×D15—21no—
345C2×D15—21no—
346C2×D15—41no—
347C2×D15—41no—
348C2×D15—41no—
349C2×D15—41no—
350C2×D15—41no—
351C2×D15—84no—
352C3×C4×C5—21no—
353C3×C4×C5—41no—
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—21no—
362Dic15—41no—
363Dic15—41no—
364C23×D3—101no—
365C2×C3×Q8C22×D511yescharacteristic
366C2×C3×Q8C22×D511yescharacteristic
367C22×C3×C4C22×D511yescharacteristic
368C2×#67—51no—
369C22×Dic3—101no—
370#239—102no—
371#239—201no—
372C2×D12—51no—
373C2×D12—51no—
374C2×D12—102no—
375C2×D12—101no—
376C2×D12—101no—
377C2×D12—101no—
378C2×D12—201no—
379C2×C4×D3—51no—
380C2×C4×D3—101no—
381C2×C4×D3—101no—
382C3×Q16—41no—
383C2×C3×C8—41no—
384C2×C3×C8C22×D511yescharacteristic
385C2×C3×C8C22×D511yescharacteristic
386C3×C4⋊C4—21no—
387C3×C4⋊C4—21no—
388C3×C4⋊C4C22×D511yescharacteristic
389C3×C4⋊C4C22×D511yescharacteristic
390C3×C22⋊C4—21no—
391C3×C22⋊C4—21no—
392#217—51no—
393#215—102no—
394#215—201no—
395(C2×D3)⋊C4—51no—
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—101no—
405C4⋊Dic3—101no—
406C4⋊Dic3—101no—
407Dic3⋊C4—51no—
408Dic3⋊C4—101no—
409Dic3⋊C4—101no—
410C4×Dic3—51no—
411C4×Dic3—101no—
412C4×Dic3—101no—
413C2×C3⋊C8—51no—
414C2×C3⋊C8—51no—
415D3×C8—201no—
416C23×C5D3×D411yescharacteristic
417C22×D5—31no—
418C22×D5—61no—
419C22×D5—61no—
420C22×D5—122no—
421C22×D5—122no—
422C22×D5—241no—
423C5×Q8—21no—
424C5×Q8—21no—
425C5×Q8—21no—
426C5×Q8—21no—
427C2×C4×C5—21no—
428C2×C4×C5—21no—
429C2×C4×C5—21no—
430C2×C4×C5—21no—
431C2×C4×C5—21no—
432C2×C4×C5—21no—
433C2×C4×C5D3×D411yescharacteristic
434C2×C4×C5C23×D311yescharacteristic
435C22⋊D5—62no—
436C2×Dic5—31no—
437C2×Dic5—31no—
438C2×Dic5—31no—
439C2×Dic5—61no—
440C2×Dic5—61no—
441C2×Dic5—122no—
442D20—32no—
443D20—61no—
444D20—61no—
445D20—61no—
446D20—122no—
447D20—122no—
448D20—241no—
449C4×D5—61no—
450C4×D5—61no—
451C4×D5—122no—
452C4×D5—241no—
453C5×C8—21no—
454C5×C8—21no—
455#168—61no—
456#168—61no—
457C2×#41—151no—
458C22×D4—151no—
459C2×Q16C2×D1511yescharacteristic, complemented
460C2×SD16—151no—
461C2×SD16—151no—
462C22×C8—151no—
463C22×C8C2×D1511yescharacteristic
464#126—301no—
465#125—151no—
466#125—301no—
467#124—151no—
468#123—301no—
469#123—301no—
470C22⋊Q8—151no—
471C22⋊Q8C2×D1511yescharacteristic
472C22⋊Q8C2×D1511yescharacteristic
473#121—151no—
474#121—301no—
475#120—301no—
476C4×Q8—151no—
477C4×D4—151no—
478C4×D4—151no—
479#117—151no—
480#117—301no—
481C2×C4⋊C4—151no—
482C2×C22⋊C4—301no—
483#107C2×D1511yescharacteristic, complemented
484#106—151no—
485#106—151no—
486C4⋊C8—151no—
487#103—151no—
488#103—151no—
489#103C2×D1511yescharacteristic, complemented
490#103C2×D1511yescharacteristic, complemented
491#102—151no—
492#102—151no—
493#102—151no—
494#102—151no—
495#102—151no—
496#102—151no—
497C22⋊C8—151no—
498C22⋊C8—151no—
499C4×C8—151no—
500C2×C3×C5—22no—
501C2×C3×C5#54611yescharacteristic
502C2×C3×C5C2×#13511yescharacteristic
503C2×C3×C5#57711yescharacteristic
504D15—41no—
505D15—42no—
506D15—81no—
507C23×C3D4×D511yescharacteristic
508C22×D3—51no—
509C22×D3—101no—
510C22×D3—101no—
511C22×D3—202no—
512C22×D3—202no—
513C22×D3—401no—
514C3×Q8—21no—
515C3×Q8—21no—
516C3×Q8—21no—
517C3×Q8—21no—
518C2×C3×C4—21no—
519C2×C3×C4—21no—
520C2×C3×C4—21no—
521C2×C3×C4—21no—
522C2×C3×C4—21no—
523C2×C3×C4—21no—
524C2×C3×C4D4×D511yescharacteristic
525C2×C3×C4C23×D511yescharacteristic
526#67—102no—
527C2×Dic3—51no—
528C2×Dic3—51no—
529C2×Dic3—51no—
530C2×Dic3—101no—
531C2×Dic3—101no—
532C2×Dic3—202no—
533D12—52no—
534D12—101no—
535D12—101no—
536D12—101no—
537D12—202no—
538D12—202no—
539D12—401no—
540C4×D3—101no—
541C4×D3—101no—
542C4×D3—202no—
543C4×D3—401no—
544C3×C8—21no—
545C3×C8—21no—
546C3⋊C8—101no—
547C3⋊C8—101no—
548C22×C5—21no—
549C22×C5—21no—
550C22×C5#91912yes—
551C22×C5C2×D3×D411yescharacteristic
552C2×D5—61no—
553C2×D5—61no—
554C2×D5—61no—
555C2×D5—62no—
556C2×D5—121no—
557C2×D5—121no—
558C2×D5—121no—
559C2×D5—121no—
560C2×D5—121no—
561C2×D5—244no—
562C4×C5—21no—
563C4×C5—41no—
564C4×C5—41no—
565C4×C5—41no—
566C4×C5—41no—
567C4×C5#100411yescharacteristic
568C4×C5D3×#4111yescharacteristic
569Dic5—61no—
570Dic5—61no—
571Dic5—61no—
572Dic5—121no—
573Dic5—121no—
574C24—301no—
575#41—302no—
576#41—601no—
577C2×Q8C22×D1511yescharacteristic
578C2×Q8C22×D1511yescharacteristic
579C2×D4—151no—
580C2×D4—151no—
581C2×D4—151no—
582C2×D4—302no—
583C2×D4—301no—
584C2×D4—301no—
585C2×D4—301no—
586C2×D4—601no—
587C22×C4—151no—
588C22×C4—301no—
589C22×C4—301no—
590C22×C4—301no—
591C22×C4C22×D1511yescharacteristic
592Q16—41no—
593SD16—302no—
594SD16—601no—
595C2×C8—41no—
596C2×C8—151no—
597C2×C8—151no—
598C2×C8—601no—
599C2×C8C22×D1511yescharacteristic
600C2×C8C22×D1511yescharacteristic
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—151no—
604C4⋊C4—151no—
605C4⋊C4—151no—
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—21no—
615C22⋊C4—151no—
616C22⋊C4—151no—
617C22⋊C4—301no—
618C22⋊C4—301no—
619C22⋊C4—301no—
620C22⋊C4—301no—
621C22⋊C4—301no—
622C22⋊C4—301no—
623C42—151no—
624C42—301no—
625C42—301no—
626C3×C5#329611yescharacteristic, complemented, Hall
627C22×C3—21no—
628C22×C3—21no—
629C22×C3#406512yes—
630C22×C3C2×D4×D511yescharacteristic
631C2×D3—101no—
632C2×D3—101no—
633C2×D3—101no—
634C2×D3—102no—
635C2×D3—201no—
636C2×D3—201no—
637C2×D3—201no—
638C2×D3—201no—
639C2×D3—201no—
640C2×D3—404no—
641C3×C4—21no—
642C3×C4—41no—
643C3×C4—41no—
644C3×C4—41no—
645C3×C4—41no—
646C3×C4#414411yescharacteristic
647C3×C4D5×#4111yescharacteristic
648Dic3—101no—
649Dic3—101no—
650Dic3—101no—
651Dic3—201no—
652Dic3—201no—
653C2×C5—22no—
654C2×C5#561011yescharacteristic
655C2×C5C2×#91911yescharacteristic
656C2×C5#577011yescharacteristic
657D5—121no—
658D5—122no—
659D5—241no—
660C23—151no—
661C23—301no—
662C23—301no—
663C23—602no—
664C23—602no—
665C23—1201no—
666C23D4×D1511yescharacteristic
667Q8—21no—
668Q8—21no—
669Q8—21no—
670Q8—21no—
671D4—152no—
672D4—302no—
673D4—301no—
674D4—301no—
675D4—301no—
676D4—602no—
677D4—602no—
678D4—1201no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—151no—
686C2×C4—151no—
687C2×C4—151no—
688C2×C4—301no—
689C2×C4—301no—
690C2×C4—301no—
691C2×C4—301no—
692C2×C4—602no—
693C2×C4—602no—
694C2×C4—1201no—
695C2×C4D4×D1511yescharacteristic
696C2×C4C23×D1511yescharacteristic
697C8—21no—
698C8—21no—
699C8—301no—
700C8—301no—
701C2×C3—22no—
702C2×C3#6594411yescharacteristic
703C2×C3C2×#406511yescharacteristic
704C2×C3#6610411yescharacteristic
705D3—201no—
706D3—202no—
707D3—401no—
708C5#8077511yescharacteristic, complemented, Sylow
709C22—21no—
710C22—21no—
711C22—301no—
712C22—302no—
713C22—301no—
714C22—301no—
715C22—601no—
716C22—601no—
717C22—601no—
718C22—601no—
719C22—601no—
720C22—1204no—
721C22#9180812yes—
722C22C2×D4×D1511yescharacteristic
723C4—21no—
724C4—41no—
725C4—41no—
726C4—41no—
727C4—41no—
728C4—301no—
729C4—301no—
730C4—301no—
731C4—601no—
732C4—601no—
733C4#9209511yescharacteristic
734C4#41×D1511yescharacteristic
735C3#1061250611yescharacteristic, complemented, Sylow
736C2—22no—
737C2—601no—
738C2—602no—
739C2—1201no—
740C2#1175636911yescharacteristic
741C2C2×#9180811yescharacteristic
742C2#1175652911yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#467C2
socleC22×C3×C5C22×D4
prime radical#11756389C2
hypercenter#467D15
hypocenterC3×C5#3296
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ #467

Complements

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

NH ≅ G/Ntype
1. #11756401C2semidirect
3. C3×C5×#467C2semidirect
4. #11751288C2semidirect
5. #11751286C2semidirect
6. C2×#91105C2semidirect
7. C8×#1220C2semidirect
8. #11751147C2semidirect
9. #11751144C2semidirect
10. #11750992C2semidirect
11. #11750986C2semidirect
12. #11750908C2semidirect
13. #11750905C2semidirect
14. #11750901C2semidirect
15. #11750889C2semidirect
19. C2×C3×C5×Q16C22semidirect
24. #91835C22semidirect
25. Q8×Dic15C22semidirect
30. C2×C8×D15C22semidirect
36. #91781C22semidirect
38. #91779C22semidirect
43. C3×C5×#107C22semidirect
44. C3×C5×#103C22semidirect
45. C3×C5×#103C22semidirect
46. #91119C22semidirect
47. #91119C22semidirect
53. #91104C22semidirect
54. #91098C22semidirect
55. C8×Dic15C22semidirect
58. #91092C22semidirect
59. #91092C22semidirect
63. C5×#467D3semidirect
130. C3×#467D5semidirect
145. C2×C5×Q16C2×D3semidirect
169. C5×#107C2×D3semidirect
170. C5×#103C2×D3semidirect
171. C5×#103C2×D3semidirect
230. C2×C3×Q16C2×D5semidirect
254. C3×#107C2×D5semidirect
255. C3×#103C2×D5semidirect
256. C3×#103C2×D5semidirect
329. #467D15semidirect
459. C2×Q16C2×D15semidirect
483. #107C2×D15semidirect
489. #103C2×D15semidirect
490. #103C2×D15semidirect
626. C3×C5#3296semidirect
708. C5#80775semidirect
735. C3#10612506semidirect

Maximal subgroups

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

subgroupindex
#117564012
#117563892
C3×C5×#4672
#117512882
#117512862
C2×#911052
C8×#12202
#117511472
#117511442
#117509922
#117509862
#117509082
#117509052
#117509012
#117508892
#106125063
#807755