Finite Group Databasebeta

← #14425310

Subgroups — #14425310

Order 1920.

1524 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#92100C211yesmaximal, characteristic, complemented
2#11756581C211yesmaximal, characteristic, complemented
3#11756507C211yesmaximal, characteristic, complemented
4#11756284C211yesmaximal, characteristic, complemented
5C3×C5×#421C211yesmaximal, characteristic, complemented
6C2×#91107C211yesmaximal, characteristic, complemented
7#11751106C211yesmaximal, characteristic, complemented
8#11750926C214yesmaximal, complemented
9#11750923C214yesmaximal, complemented
10#10610724—31nomaximal, Hall
11C2×C3×C5×#41C2211yescharacteristic
12#92100—22no—
13#92100—22no—
14#92100—22no—
15#92100C2214yes—
16C2×#6821—21no—
17C2×D4×D15—22no—
18C2×D4×D15—21no—
19C2×#6817—21no—
20C2×#6817C2211yescharacteristic
21C2×#6817C2211yescharacteristic, complemented
22C22×D60—21no—
23C22×D60C2211yescharacteristic
24C2×C3×C5×M16C2211yescharacteristic, complemented
25C3×C5×#117C2211yescharacteristic, complemented
26#91840C2212yescomplemented
27#91839—22no—
28#91838C2212yescomplemented
29#91831—21no—
30#91821—21no—
31C2×#6710C2211yescharacteristic, complemented
32#91798—21no—
33#91798C2212yescomplemented
34#91797—21no—
35#91797C2212yescomplemented
36#91793—22no—
37#91784—22no—
38#91771—22no—
39#91764C2212yescomplemented
40#91763C2212yescomplemented
41C3×C5×#104C2214yescomplemented
42#91107C2214yescomplemented
43#91089C2214yescomplemented
44#78993—51nomaximal, Hall
45C2×#4149—31no—
46#66156—31no—
47#66082—31no—
48#65859—31no—
49C5×#421D311yescharacteristic, complemented
50C2×#3955—31no—
51#65294—31no—
52#65114—34no—
53#65111—34no—
54C23×D15—22no—
55C23×D15D412yes—
56C3×C5×#41—21no—
57C3×C5×#41—21no—
58C3×C5×#41D412yescomplemented
59C3×C5×#41C2312yes—
60C2×C3×C5×Q8D411yescharacteristic, complemented
61C2×C3×C5×D4—21no—
62C2×C3×C5×D4D411yescharacteristic, complemented
63C22×C3×C4×C5—21no—
64C22×C3×C4×C5C2311yescharacteristic
65C2×#1220—22no—
66C2×#1220—21no—
67C2×#1220—21no—
68#6821—24no—
69#6821—24no—
70D4×D15—28no—
71D4×D15—24no—
72D4×D15—28no—
73D4×D15—24no—
74#6817—24no—
75#6817—21no—
76#6817—21no—
77#6817—21no—
78#6817—21no—
79#6817—21no—
80#6817—21no—
81#6817—24no—
82#6817D412yescomplemented
83#6817C2312yes—
84C2×D60—22no—
85C2×D60—24no—
86C2×D60—21no—
87C2×D60—21no—
88C2×D60—21no—
89C2×D60—21no—
90C2×D60—24no—
91C2×D60—24no—
92C2×D60D412yes—
93C2×D60D411yescharacteristic, complemented
94C2×D60C2312yes—
95C2×D60C2311yescharacteristic, complemented
96C2×C4×D15—22no—
97C2×C4×D15—21no—
98C2×C4×D15—21no—
99C2×Dic30D411yescharacteristic, complemented
100C2×Dic30C2311yescharacteristic, complemented
101C3×C5×M16—21no—
102C3×C5×M16C2312yescomplemented
103C2×C3×C5×C8—21no—
104C3×C5×C4⋊C4—21no—
105C3×C5×C22⋊C4—21no—
106C3×C42×C5C2312yescomplemented
107#6718—22no—
108#6717—22no—
109#6716—22no—
110#6715—22no—
111#6714—24no—
112#6710—21no—
113#6710C2312yescomplemented
114C2×C3⋊#168—21no—
115Dic60—22no—
116D120—22no—
117#6706—22no—
118#6706—22no—
119C2×#1009—51no—
120#5822—51no—
121#5748—51no—
122#5525—51no—
123C3×#421D511yescharacteristic, complemented
124C2×#823—51no—
125#5005—51no—
126#4825—54no—
127#4822—54no—
128C2×C5×#41C2×D311yescharacteristic
129#4149—34no—
130#4149—62no—
131#4149—62no—
132#4149—62no—
133C2×#713—61no—
134C2×D4×D5—62no—
135C2×D4×D5—61no—
136C2×#709—31no—
137C2×#709—31no—
138C2×#709—61no—
139C22×D20—31no—
140C22×D20—61no—
141C2×C5×M16C2×D311yescharacteristic, complemented
142C5×#117C2×D311yescharacteristic, complemented
143#4097—32no—
144#4096—62no—
145#4095—32no—
146#4088—61no—
147#4078—61no—
148C2×#681—31no—
149#4055—32no—
150#4055—61no—
151#4054—32no—
152#4054—61no—
153#4050—62no—
154#4041—62no—
155#4028—62no—
156#4021—32no—
157#4020—32no—
158C5×#104C2×D314yescomplemented
159#3955—34no—
160#3937—34no—
161#3019—151noSylow
162C23×C3×C5—21no—
163C23×C3×C5C2×D411yescharacteristic
164C22×D15—22no—
165C22×D15—21no—
166C22×D15—28no—
167C22×D15—22no—
168C22×D15—21no—
169C22×D15—82no—
170C22×D15—84no—
171C22×D15C2×D414yes—
172C3×C5×Q8—21no—
173C3×C5×Q8C2×D412yes—
174C3×C5×D4—22no—
175C3×C5×D4—22no—
176C3×C5×D4—21no—
177C3×C5×D4C2×D412yes—
178C2×C3×C4×C5—21no—
179C2×C3×C4×C5—22no—
180C2×C3×C4×C5—22no—
181C2×C3×C4×C5—22no—
182C2×C3×C4×C5C2×D411yescharacteristic
183C2×C3×C4×C5C2×D411yescharacteristic
184C2×C3×C4×C5C2×D411yescharacteristic
185C2×C3×C4×C5C2×D411yescharacteristic
186C2×C3×C4×C5C2×D411yescharacteristic
187C2×C3×C4×C5C2411yescharacteristic
188#1220—28no—
189#1220—22no—
190#1220—22no—
191#1220—41no—
192#1220—41no—
193C2×Dic15—21no—
194C2×Dic15—21no—
195D60—28no—
196D60—22no—
197D60—21no—
198D60—22no—
199D60—22no—
200D60—22no—
201D60—21no—
202D60—21no—
203D60—84no—
204D60C2×D412yes—
205C4×D15—28no—
206C4×D15—22no—
207C4×D15—22no—
208C4×D15—41no—
209C4×D15—41no—
210Dic30—21no—
211Dic30—21no—
212Dic30—21no—
213Dic30C2×D412yes—
214C3×C5×C8—22no—
215C3⋊#168—22no—
216C2×C3×#41C2×D511yescharacteristic
217#1009—54no—
218#1009—102no—
219#1009—102no—
220#1009—102no—
221C2×#239—101no—
222C2×D3×D4—102no—
223C2×D3×D4—101no—
224C2×#235—51no—
225C2×#235—51no—
226C2×#235—101no—
227C22×D12—51no—
228C22×D12—101no—
229C2×C3×M16C2×D511yescharacteristic, complemented
230C3×#117C2×D511yescharacteristic, complemented
231#951—52no—
232#950—102no—
233#949—52no—
234#942—101no—
235#932—101no—
236C2×#208—51no—
237#909—52no—
238#909—101no—
239#908—52no—
240#908—101no—
241#904—102no—
242#895—102no—
243#882—102no—
244#875—52no—
245#874—52no—
246C3×#104C2×D514yescomplemented
247#823—54no—
248#805—54no—
249C23×D5—32no—
250C23×D5—62no—
251C5×#41—21no—
252C5×#41—21no—
253C5×#41D1212yescomplemented
254C5×#41C22×D312yes—
255C2×C5×Q8D1211yescharacteristic, complemented
256C2×C5×D4—21no—
257C2×C5×D4D1211yescharacteristic, complemented
258C22×C4×C5—21no—
259C22×C4×C5C22×D311yescharacteristic
260C2×C22⋊D5—62no—
261C2×C22⋊D5—61no—
262C2×C22⋊D5—61no—
263#713—64no—
264#713—64no—
265D4×D5—68no—
266D4×D5—68no—
267D4×D5—64no—
268D4×D5—64no—
269#709—32no—
270#709—32no—
271#709—64no—
272#709—64no—
273#709—61no—
274#709—61no—
275#709—61no—
276#709—61no—
277#709—61no—
278#709—61no—
279C2×D20—31no—
280C2×D20—32no—
281C2×D20—32no—
282C2×D20—31no—
283C2×D20—64no—
284C2×D20—62no—
285C2×D20—64no—
286C2×D20—61no—
287C2×D20—61no—
288C2×D20—61no—
289C2×D20—61no—
290C2×D20—64no—
291C2×C4×D5—62no—
292C2×C4×D5—61no—
293C2×C4×D5—61no—
294C2×Dic10—31no—
295C2×Dic10—31no—
296C5×M16—21no—
297C5×M16C22×D312yescomplemented
298C2×C5×C8—21no—
299C5×C4⋊C4—21no—
300C5×C22⋊C4—21no—
301C42×C5C22×D312yescomplemented
302#689—62no—
303#688—62no—
304#687—62no—
305#686—62no—
306#685—64no—
307#681—32no—
308#681—61no—
309C2×#168—61no—
310Dic20—62no—
311D40—62no—
312#677—62no—
313#677—62no—
314C2×H(5,𝔽2)—151no—
315#575—151no—
316#575—151no—
317#535—151no—
318#455—154no—
319#453—154no—
320#421—151no—
321#421D1511yescharacteristic, complemented
322C2×#100—151no—
323C22×C3×C5—22no—
324C22×C3×C5—41no—
325C22×C3×C5—42no—
326C22×C3×C5#12011yescharacteristic
327C22×C3×C5#12011yescharacteristic
328C22×C3×C5C22×D411yescharacteristic
329C2×D15—24no—
330C2×D15—22no—
331C2×D15—44no—
332C2×D15—42no—
333C2×D15—44no—
334C2×D15—42no—
335C2×D15—41no—
336C2×D15—82no—
337C2×D15—88no—
338C3×C4×C5—22no—
339C3×C4×C5—42no—
340C3×C4×C5#12011yescharacteristic
341C3×C4×C5#12011yescharacteristic
342C3×C4×C5C22×D411yescharacteristic
343C3×C4×C5C22×D411yescharacteristic
344Dic15—22no—
345Dic15—41no—
346C23×D3—52no—
347C23×D3—102no—
348C3×#41—21no—
349C3×#41—21no—
350C3×#41D2012yescomplemented
351C3×#41C22×D512yes—
352C2×C3×Q8D2011yescharacteristic, complemented
353C2×C3×D4—21no—
354C2×C3×D4D2011yescharacteristic, complemented
355C22×C3×C4—21no—
356C22×C3×C4C22×D511yescharacteristic
357C2×#67—102no—
358C2×#67—101no—
359C2×#67—101no—
360#239—104no—
361#239—104no—
362D3×D4—108no—
363D3×D4—108no—
364D3×D4—104no—
365D3×D4—104no—
366#235—52no—
367#235—52no—
368#235—104no—
369#235—104no—
370#235—101no—
371#235—101no—
372#235—101no—
373#235—101no—
374#235—101no—
375#235—101no—
376C2×D12—51no—
377C2×D12—52no—
378C2×D12—52no—
379C2×D12—51no—
380C2×D12—104no—
381C2×D12—102no—
382C2×D12—104no—
383C2×D12—101no—
384C2×D12—101no—
385C2×D12—101no—
386C2×D12—101no—
387C2×D12—104no—
388C2×C4×D3—102no—
389C2×C4×D3—101no—
390C2×C4×D3—101no—
391C2×Dic6—51no—
392C2×Dic6—51no—
393C3×M16—21no—
394C3×M16C22×D512yescomplemented
395C2×C3×C8—21no—
396C3×C4⋊C4—21no—
397C3×C22⋊C4—21no—
398C3×C42C22×D512yescomplemented
399#216—102no—
400#215—102no—
401#214—102no—
402#213—102no—
403(C2×D3)⋊C4—104no—
404#208—52no—
405#208—101no—
406C2×C3⋊C8—101no—
407Dic12—102no—
408D24—102no—
409#204—102no—
410#204—102no—
411C23×C5—21no—
412C23×C5D3×D411yescharacteristic
413C22×D5—34no—
414C22×D5—61no—
415C22×D5—62no—
416C22×D5—68no—
417C22×D5—62no—
418C22×D5—61no—
419C22×D5—242no—
420C22×D5—244no—
421C5×Q8—21no—
422C5×Q8C2×D1212yes—
423C5×D4—22no—
424C5×D4—22no—
425C5×D4—21no—
426C5×D4C2×D1212yes—
427C2×C4×C5—21no—
428C2×C4×C5—22no—
429C2×C4×C5—22no—
430C2×C4×C5—22no—
431C2×C4×C5C2×D1211yescharacteristic
432C2×C4×C5C2×D1211yescharacteristic
433C2×C4×C5D3×D411yescharacteristic
434C2×C4×C5D3×D411yescharacteristic
435C2×C4×C5D3×D411yescharacteristic
436C2×C4×C5C23×D311yescharacteristic
437C22⋊D5—68no—
438C22⋊D5—62no—
439C22⋊D5—62no—
440C22⋊D5—121no—
441C22⋊D5—121no—
442C2×Dic5—61no—
443C2×Dic5—61no—
444D20—32no—
445D20—68no—
446D20—61no—
447D20—62no—
448D20—62no—
449D20—62no—
450D20—61no—
451D20—62no—
452D20—61no—
453D20—244no—
454C4×D5—68no—
455C4×D5—62no—
456C4×D5—62no—
457C4×D5—121no—
458C4×D5—121no—
459Dic10—32no—
460Dic10—61no—
461Dic10—61no—
462Dic10—61no—
463C5×C8—22no—
464#168—62no—
465H(5,𝔽2)—154no—
466H(5,𝔽2)—302no—
467H(5,𝔽2)—302no—
468H(5,𝔽2)—302no—
469C2×#41—151no—
470C2×#41—151no—
471C2×#41—301no—
472C2×#41—301no—
473C2×#41C2×D1511yescharacteristic
474C22×D4—151no—
475C22×D4—301no—
476C22×D4—302no—
477C22×D4—301no—
478#137—152no—
479#137—152no—
480#137—301no—
481#137—301no—
482AGL(1,ℤ/8)—152no—
483AGL(1,ℤ/8)—152no—
484AGL(1,ℤ/8)—301no—
485AGL(1,ℤ/8)—301no—
486#135—302no—
487#135—302no—
488C2×M16—151no—
489C2×M16C2×D1511yescharacteristic, complemented
490#127—152no—
491#124—152no—
492#121—302no—
493#120—302no—
494#117C2×D1511yescharacteristic, complemented
495#104—154no—
496#104C2×D1514yescomplemented
497#100—154no—
498C2×C3×C5—21no—
499C2×C3×C5—21no—
500C2×C3×C5—21no—
501C2×C3×C5—42no—
502C2×C3×C5C2×#12011yescharacteristic
503D15—44no—
504D15—42no—
505D15—81no—
506C23×C3—21no—
507C23×C3D4×D511yescharacteristic
508C22×D3—54no—
509C22×D3—101no—
510C22×D3—102no—
511C22×D3—108no—
512C22×D3—102no—
513C22×D3—101no—
514C22×D3—402no—
515C22×D3—404no—
516C3×Q8—21no—
517C3×Q8C2×D2012yes—
518C3×D4—22no—
519C3×D4—22no—
520C3×D4—21no—
521C3×D4C2×D2012yes—
522C2×C3×C4—21no—
523C2×C3×C4—22no—
524C2×C3×C4—22no—
525C2×C3×C4—22no—
526C2×C3×C4C2×D2011yescharacteristic
527C2×C3×C4C2×D2011yescharacteristic
528C2×C3×C4D4×D511yescharacteristic
529C2×C3×C4D4×D511yescharacteristic
530C2×C3×C4D4×D511yescharacteristic
531C2×C3×C4C23×D511yescharacteristic
532#67—108no—
533#67—102no—
534#67—102no—
535#67—201no—
536#67—201no—
537C2×Dic3—101no—
538C2×Dic3—101no—
539D12—52no—
540D12—108no—
541D12—102no—
542D12—101no—
543D12—102no—
544D12—101no—
545D12—101no—
546D12—102no—
547D12—102no—
548D12—404no—
549C4×D3—108no—
550C4×D3—102no—
551C4×D3—102no—
552C4×D3—201no—
553C4×D3—201no—
554Dic6—52no—
555Dic6—101no—
556Dic6—101no—
557Dic6—101no—
558C3×C8—22no—
559C3⋊C8—102no—
560C22×C5—22no—
561C22×C5—41no—
562C22×C5—42no—
563C22×C5#88211yescharacteristic
564C22×C5#88211yescharacteristic
565C22×C5C2×D3×D411yescharacteristic
566C2×D5—62no—
567C2×D5—64no—
568C2×D5—124no—
569C2×D5—122no—
570C2×D5—124no—
571C2×D5—122no—
572C2×D5—121no—
573C2×D5—242no—
574C2×D5—248no—
575C4×C5—22no—
576C4×C5—42no—
577C4×C5#88211yescharacteristic
578C4×C5#88211yescharacteristic
579C4×C5C22×D1211yescharacteristic
580C4×C5C2×D3×D411yescharacteristic
581Dic5—62no—
582Dic5—121no—
583C24—152no—
584C24—302no—
585#41—21no—
586#41—21no—
587#41—152no—
588#41—152no—
589#41—304no—
590#41—304no—
591#41—304no—
592#41—304no—
593#41—301no—
594#41—301no—
595#41—301no—
596#41—301no—
597#41—301no—
598#41—301no—
599#41D6012yescomplemented
600#41C22×D1512yes—
601C2×Q8—151no—
602C2×Q8—151no—
603C2×Q8D6011yescharacteristic, complemented
604C2×D4—21no—
605C2×D4—151no—
606C2×D4—152no—
607C2×D4—152no—
608C2×D4—151no—
609C2×D4—304no—
610C2×D4—302no—
611C2×D4—304no—
612C2×D4—304no—
613C2×D4—308no—
614C2×D4—308no—
615C2×D4—304no—
616C2×D4—302no—
617C2×D4—301no—
618C2×D4—304no—
619C2×D4—301no—
620C2×D4—301no—
621C2×D4—301no—
622C2×D4—301no—
623C2×D4—301no—
624C2×D4D6011yescharacteristic, complemented
625C22×C4—21no—
626C22×C4—302no—
627C22×C4—301no—
628C22×C4—301no—
629C22×C4C22×D1511yescharacteristic
630Q16—302no—
631Q16—302no—
632SD16—302no—
633SD16—302no—
634SD16—302no—
635SD16—302no—
636D8—302no—
637D8—302no—
638M16—21no—
639M16—152no—
640M16—301no—
641M16C22×D1512yescomplemented
642C2×C8—21no—
643C2×C8—301no—
644C4⋊C4—21no—
645C22⋊C4—21no—
646C22⋊C4—304no—
647C42C22×D1512yescomplemented
648C3×C5#301911yescharacteristic, complemented, Hall
649C22×C3—22no—
650C22×C3—41no—
651C22×C3—42no—
652C22×C3#402811yescharacteristic
653C22×C3#402811yescharacteristic
654C22×C3C2×D4×D511yescharacteristic
655C2×D3—102no—
656C2×D3—104no—
657C2×D3—204no—
658C2×D3—202no—
659C2×D3—204no—
660C2×D3—202no—
661C2×D3—201no—
662C2×D3—402no—
663C2×D3—408no—
664C3×C4—22no—
665C3×C4—42no—
666C3×C4#402811yescharacteristic
667C3×C4#402811yescharacteristic
668C3×C4C22×D2011yescharacteristic
669C3×C4C2×D4×D511yescharacteristic
670Dic3—102no—
671Dic3—201no—
672C2×C5—21no—
673C2×C5—21no—
674C2×C5—21no—
675C2×C5—42no—
676C2×C5C2×#88211yescharacteristic
677D5—124no—
678D5—122no—
679D5—241no—
680C23—21no—
681C23—154no—
682C23—308no—
683C23—301no—
684C23—302no—
685C23—302no—
686C23—301no—
687C23—1202no—
688C23—1204no—
689C23D4×D1511yescharacteristic
690Q8—21no—
691Q8—152no—
692Q8—301no—
693Q8—301no—
694Q8—301no—
695Q8C2×D6012yes—
696D4—22no—
697D4—22no—
698D4—21no—
699D4—152no—
700D4—308no—
701D4—308no—
702D4—302no—
703D4—302no—
704D4—301no—
705D4—302no—
706D4—302no—
707D4—302no—
708D4—301no—
709D4—302no—
710D4—301no—
711D4—601no—
712D4—601no—
713D4—1204no—
714D4C2×D6012yes—
715C2×C4—21no—
716C2×C4—22no—
717C2×C4—22no—
718C2×C4—22no—
719C2×C4—308no—
720C2×C4—301no—
721C2×C4—302no—
722C2×C4—302no—
723C2×C4—301no—
724C2×C4—601no—
725C2×C4—601no—
726C2×C4C2×D6011yescharacteristic
727C2×C4C2×D6011yescharacteristic
728C2×C4D4×D1511yescharacteristic
729C2×C4D4×D1511yescharacteristic
730C2×C4D4×D1511yescharacteristic
731C2×C4C23×D1511yescharacteristic
732C8—22no—
733C8—302no—
734C2×C3—21no—
735C2×C3—21no—
736C2×C3—21no—
737C2×C3—42no—
738C2×C3C2×#402811yescharacteristic
739D3—204no—
740D3—202no—
741D3—401no—
742C5#7899311yescharacteristic, complemented, Sylow
743C22—22no—
744C22—41no—
745C22—42no—
746C22—302no—
747C22—304no—
748C22—604no—
749C22—604no—
750C22—602no—
751C22—602no—
752C22—601no—
753C22—1202no—
754C22—1208no—
755C22#9177111yescharacteristic
756C22#9177111yescharacteristic
757C22C2×D4×D1511yescharacteristic
758C4—22no—
759C4—42no—
760C4—302no—
761C4—601no—
762C4#9177111yescharacteristic
763C4#9177111yescharacteristic
764C4C22×D6011yescharacteristic
765C4C2×D4×D1511yescharacteristic
766C3#1061072411yescharacteristic, complemented, Sylow
767C2—21no—
768C2—21no—
769C2—21no—
770C2—42no—
771C2—604no—
772C2—602no—
773C2—1201no—
774C2C2×#9177111yescharacteristic
subgroupG/H
centerC2C2×#91771
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#421C2
socleC2×C3×C5C2×#120
hypercenter#421D15
hypocenterC3×C5#3019
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C2 ◁ C22×C4 ◁ #421

Complements

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

NH ≅ G/Ntype
1. C2×#92100C2semidirect
2. #11756581C2semidirect
3. #11756507C2semidirect
4. #11756284C2semidirect
5. C3×C5×#421C2semidirect
6. C2×#91107C2semidirect
7. #11751106C2semidirect
8. #11750926C2semidirect
9. #11750923C2semidirect
21. C2×#6817C22semidirect
24. C2×C3×C5×M16C22semidirect
25. C3×C5×#117C22semidirect
26. #91840C22semidirect
28. #91838C22semidirect
31. C2×#6710C22semidirect
33. #91798C22semidirect
35. #91797C22semidirect
39. #91764C22semidirect
40. #91763C22semidirect
41. C3×C5×#104C22semidirect
42. #91107C22semidirect
43. #91089C22semidirect
49. C5×#421D3semidirect
58. C3×C5×#41D4semidirect
60. C2×C3×C5×Q8D4semidirect
62. C2×C3×C5×D4D4semidirect
82. #6817D4semidirect
93. C2×D60D4semidirect
95. C2×D60C23semidirect
99. C2×Dic30D4semidirect
100. C2×Dic30C23semidirect
102. C3×C5×M16C23semidirect
106. C3×C42×C5C23semidirect
113. #6710C23semidirect
123. C3×#421D5semidirect
141. C2×C5×M16C2×D3semidirect
142. C5×#117C2×D3semidirect
158. C5×#104C2×D3semidirect
229. C2×C3×M16C2×D5semidirect
230. C3×#117C2×D5semidirect
246. C3×#104C2×D5semidirect
253. C5×#41D12semidirect
255. C2×C5×Q8D12semidirect
257. C2×C5×D4D12semidirect
297. C5×M16C22×D3semidirect
301. C42×C5C22×D3semidirect
321. #421D15semidirect
350. C3×#41D20semidirect
352. C2×C3×Q8D20semidirect
354. C2×C3×D4D20semidirect
394. C3×M16C22×D5semidirect
398. C3×C42C22×D5semidirect
489. C2×M16C2×D15semidirect
494. #117C2×D15semidirect
496. #104C2×D15semidirect
599. #41D60semidirect
603. C2×Q8D60semidirect
624. C2×D4D60semidirect
641. M16C22×D15semidirect
647. C42C22×D15semidirect
648. C3×C5#3019semidirect
742. C5#78993semidirect
766. C3#10610724semidirect

Maximal subgroups

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

subgroupindex
C2×#921002
#117565812
#117565072
#117562842
C3×C5×#4212
C2×#911072
#117511062
#117509262
#117509232
#106107243
#789935