Finite Group Databasebeta

← #14425360

Subgroups — #14425360

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×#92019C211yesmaximal, characteristic, complemented
2C5×#5748C211yesmaximal, characteristic, complemented
3#11754610C211yesmaximal, characteristic, complemented
4#11754138C211yesmaximal, characteristic, complemented
5C2×#91107C211yesmaximal, characteristic, complemented
6C3×#65428C211yesmaximal, characteristic, complemented
7#11748425C211yesmaximal, characteristic, complemented
8#11748247C214yesmaximal, complemented
9#11748245C214yesmaximal, complemented
10#10615736—31nomaximal, Hall
11C22×D60C2211yescharacteristic
12C2×C5×#235C2211yescharacteristic
13C2×C5×#235C2211yescharacteristic, complemented
14C2×C3×#709C2211yescharacteristic
15C2×#6790—22no—
16#92019—22no—
17#92019—22no—
18#92019—22no—
19#92019C2214yes—
20C2×D3×D20—21no—
21C2×D5×D12—21no—
22C2×#6773—21no—
23C2×#6769—21no—
24C2×C3×C5×M16C2211yescharacteristic, complemented
25C2×#6710C2211yescharacteristic, complemented
26C5×#909—21no—
27C5×#909C2212yescomplemented
28C5×#908—21no—
29C5×#908C2212yescomplemented
30C5×#904—22no—
31C3×#4072C2211yescharacteristic, complemented
32#91573—22no—
33#91460—22no—
34#91451C2212yescomplemented
35#91375C2212yescomplemented
36#91309—21no—
37#91307C2212yescomplemented
38#91299C2212yescomplemented
39#91298—21no—
40#91297—22no—
41#91107C2214yescomplemented
42C3×#3957C2214yescomplemented
43#90979C2214yescomplemented
44#78993—51nomaximal, Hall
45C2×#4149—31no—
46C5×#575—31no—
47#66164—31no—
48#66156—31no—
49#65525—31no—
50#65491—34no—
51#65487—34no—
52#65428D311yescharacteristic, complemented
53C2×#3955—31no—
54C23×D15D412yes—
55C22×D3×D5—22no—
56C22×C3×C4×C5C2311yescharacteristic
57C2×D60—21no—
58C2×D60—21no—
59C2×D60—21no—
60C2×D60—21no—
61C2×D60D412yes—
62C2×D60C2312yes—
63C2×C5×#67—21no—
64C2×C5×#67—21no—
65C5×#235—21no—
66C5×#235—21no—
67C5×#235—21no—
68C5×#235—21no—
69C5×#235—21no—
70C5×#235—21no—
71C5×#235D412yescomplemented
72C5×#235C2312yes—
73C2×C5×D12D411yescharacteristic, complemented
74C2×C5×D12C2311yescharacteristic, complemented
75C2×C4×C5×D3—21no—
76C2×C4×C5×D3—21no—
77C2×C5×Dic6D411yescharacteristic, complemented
78C2×C5×Dic6C2311yescharacteristic, complemented
79C2×C3×C22⋊D5—21no—
80C3×#709—21no—
81C3×#709—21no—
82C3×#709D412yescomplemented
83C3×#709C2312yes—
84C2×C3×D20D411yescharacteristic, complemented
85C2×C3×C4×D5—21no—
86C2×C3×Dic10D411yescharacteristic, complemented
87#6790—28no—
88#6790—28no—
89C2×#1203—22no—
90C2×#1203—24no—
91C2×#1202—22no—
92C2×#1200—22no—
93D3×D20—24no—
94D3×D20—24no—
95D5×D12—24no—
96D5×D12—24no—
97#6773—24no—
98#6773—24no—
99#6769—24no—
100#6769—24no—
101C3×C5×M16—21no—
102C3×C5×M16C2312yescomplemented
103C2×C3×C5×C8—21no—
104#6710—21no—
105#6710C2312yescomplemented
106C2×C3⋊#168—21no—
107C5×Dic12—22no—
108C5×D24—22no—
109C5×#204—22no—
110C5×#204—22no—
111C3×C22⋊Dic5—21no—
112C3×C4⋊Dic5—21no—
113C3×C4×Dic5C2312yescomplemented
114#6667—24no—
115#6661—22no—
116#6656—22no—
117#6655—22no—
118#6652—22no—
119C2×#1009—51no—
120#5822—51no—
121#5748D511yescharacteristic, complemented
122#5525—51no—
123C3×#421—51no—
124C2×#823—51no—
125#5005—51no—
126#4825—54no—
127#4822—54no—
128C2×C5×#41—31no—
129C2×C5×#41—31no—
130#4149—34no—
131#4149—62no—
132#4149—62no—
133#4149—62no—
134C2×#713—61no—
135C2×D4×D5—61no—
136C2×D4×D5—62no—
137C2×#709—61no—
138C2×#709C2×D311yescharacteristic
139C22×D20—31no—
140C22×D20—61no—
141C5×#137—32no—
142C5×#137—61no—
143C5×AGL(1,ℤ/8)—32no—
144C5×AGL(1,ℤ/8)—61no—
145C5×#135—62no—
146C2×C5×M16C2×D311yescharacteristic, complemented
147#4097—61no—
148#4096—62no—
149#4095—61no—
150#4093—32no—
151#4088—32no—
152#4086—32no—
153#4083—62no—
154#4078—32no—
155#4076—62no—
156#4072C2×D311yescharacteristic, complemented
157C2×#681—31no—
158#3969—34no—
159#3957C2×D314yescomplemented
160#3955—34no—
161#3019—151noSylow
162C23×C3×C5C2×D411yescharacteristic
163C22×D15—22no—
164C22×D15—22no—
165C22×D15—82no—
166C22×D15C2×D414yes—
167C22×C5×D3—21no—
168C22×C5×D3—21no—
169C22×C3×D5—21no—
170C2×D3×D5—28no—
171C2×D3×D5—84no—
172C2×C3×C4×C5C2×D411yescharacteristic
173C2×C3×C4×C5C2×D411yescharacteristic
174C2×C3×C4×C5C2×D411yescharacteristic
175C2×C3×C4×C5C2×D411yescharacteristic
176C2×C3×C4×C5C2×D411yescharacteristic
177C2×C3×C4×C5C2411yescharacteristic
178D60—22no—
179D60—22no—
180D60—22no—
181D60—22no—
182C5×#67—22no—
183C5×#67—22no—
184C5×#67—41no—
185C5×#67—41no—
186C2×C5×Dic3—21no—
187C2×C5×Dic3—21no—
188C5×D12—21no—
189C5×D12—21no—
190C5×D12—21no—
191C5×D12C2×D412yes—
192C4×C5×D3—22no—
193C4×C5×D3—22no—
194C4×C5×D3—41no—
195C4×C5×D3—41no—
196C5×Dic6—21no—
197C5×Dic6—21no—
198C5×Dic6—21no—
199C5×Dic6C2×D412yes—
200C3×C22⋊D5—22no—
201C3×C22⋊D5—22no—
202C2×C3×Dic5—21no—
203C2×C3×Dic5—22no—
204C3×D20—21no—
205C3×D20C2×D412yes—
206C3×C4×D5—22no—
207C3×C4×D5—22no—
208C3×Dic10—21no—
209C3×Dic10C2×D412yes—
210#1203—28no—
211#1203—84no—
212#1202—28no—
213#1200—28no—
214C3×C5×C8—22no—
215C3⋊#168—22no—
216C2×C3×#41—51no—
217#1009—54no—
218#1009—102no—
219#1009—102no—
220#1009—102no—
221C2×#239—101no—
222C2×D3×D4—101no—
223C2×D3×D4—102no—
224C2×#235—101no—
225C2×#235C2×D511yescharacteristic
226C2×#235C2×D511yescharacteristic, complemented
227C22×D12—51no—
228C22×D12—101no—
229C2×C3×M16C2×D511yescharacteristic, complemented
230C3×#117—51no—
231#951—52no—
232#950—102no—
233#949—52no—
234#942—101no—
235#932—101no—
236C2×#208—51no—
237#909—21no—
238#909C2×D512yescomplemented
239#908—21no—
240#908C2×D512yescomplemented
241#904—22no—
242#895—102no—
243#882—102no—
244#875—52no—
245#874—52no—
246C3×#104—54no—
247#823—54no—
248#805—54no—
249C23×D5—32no—
250C23×D5—62no—
251C5×#41—32no—
252C5×#41—32no—
253C5×#41—61no—
254C5×#41—61no—
255C5×#41—61no—
256C5×#41—61no—
257C5×#41—61no—
258C5×#41—61no—
259C2×C5×Q8—31no—
260C2×C5×Q8—31no—
261C2×C5×D4—31no—
262C2×C5×D4—31no—
263C2×C5×D4—61no—
264C2×C5×D4—61no—
265C22×C4×C5—61no—
266C22×C4×C5—61no—
267C22×C4×C5C22×D311yescharacteristic
268C2×C22⋊D5—21no—
269C2×C22⋊D5—62no—
270C2×C22⋊D5—64no—
271#713—64no—
272#713—64no—
273D4×D5—64no—
274D4×D5—64no—
275D4×D5—68no—
276D4×D5—68no—
277#709—21no—
278#709—21no—
279#709—64no—
280#709—64no—
281#709D1212yescomplemented
282#709C22×D312yes—
283C2×D20—32no—
284C2×D20—32no—
285C2×D20—64no—
286C2×D20—62no—
287C2×D20—61no—
288C2×D20—61no—
289C2×D20—61no—
290C2×D20—61no—
291C2×D20—64no—
292C2×D20D1211yescharacteristic, complemented
293C2×C4×D5—21no—
294C2×C4×D5—62no—
295C2×Dic10D1211yescharacteristic, complemented
296C5×Q16—62no—
297C5×SD16—62no—
298C5×SD16—62no—
299C5×D8—62no—
300C5×M16—21no—
301C5×M16C22×D312yescomplemented
302C2×C5×C8—21no—
303C22⋊Dic5—21no—
304#689—62no—
305#688—62no—
306#687—62no—
307#686—62no—
308#685—64no—
309C4⋊Dic5—21no—
310C4×Dic5C22×D312yescomplemented
311#681—32no—
312#681—61no—
313C2×#168—61no—
314C2×H(5,𝔽2)—151no—
315#575—31no—
316#575—151no—
317#535—151no—
318#455—154no—
319#453—154no—
320#421—51no—
321#421—151no—
322C2×#100—151no—
323C22×C3×C5—41no—
324C22×C3×C5#12011yescharacteristic
325C22×C3×C5#12011yescharacteristic
326C22×C3×C5C22×D411yescharacteristic
327C2×D15—24no—
328C2×D15—44no—
329C2×D15—44no—
330C2×D15—82no—
331C2×C5×D3—22no—
332C2×C5×D3—42no—
333C2×C5×D3—42no—
334C2×C5×D3—41no—
335C2×C3×D5—22no—
336C2×C3×D5—42no—
337D3×D5—88no—
338C3×C4×C5#12011yescharacteristic
339C3×C4×C5#12011yescharacteristic
340C3×C4×C5C22×D411yescharacteristic
341C3×C4×C5C22×D411yescharacteristic
342C3×Dic5—22no—
343C3×Dic5—42no—
344C5×Dic3—22no—
345C5×Dic3—41no—
346C23×D3—52no—
347C23×D3—102no—
348C3×#41—52no—
349C3×#41—52no—
350C3×#41—101no—
351C3×#41—101no—
352C2×C3×Q8—51no—
353C2×C3×D4—51no—
354C2×C3×D4—101no—
355C22×C3×C4—101no—
356C22×C3×C4C22×D511yescharacteristic
357C2×#67—21no—
358C2×#67—21no—
359C2×#67—102no—
360#239—104no—
361#239—104no—
362D3×D4—104no—
363D3×D4—104no—
364D3×D4—108no—
365D3×D4—108no—
366#235—21no—
367#235—21no—
368#235—21no—
369#235—21no—
370#235—21no—
371#235—21no—
372#235—104no—
373#235—104no—
374#235C22⋊D512yescomplemented
375#235C22×D512yes—
376C2×D12—52no—
377C2×D12—52no—
378C2×D12—104no—
379C2×D12—102no—
380C2×D12—101no—
381C2×D12—101no—
382C2×D12—101no—
383C2×D12—101no—
384C2×D12—104no—
385C2×D12—104no—
386C2×D12C22⋊D511yescharacteristic, complemented
387C2×D12C22×D511yescharacteristic, complemented
388C2×C4×D3—21no—
389C2×C4×D3—21no—
390C2×C4×D3—102no—
391C2×Dic6C22⋊D511yescharacteristic, complemented
392C2×Dic6C22×D511yescharacteristic, complemented
393C3×M16—21no—
394C3×M16C22×D512yescomplemented
395C2×C3×C8—21no—
396C3×C4⋊C4—101no—
397C3×C22⋊C4—101no—
398C3×C42—52no—
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—22no—
408D24—22no—
409#204—22no—
410#204—22no—
411C23×C5—61no—
412C23×C5—61no—
413C23×C5D3×D411yescharacteristic
414C22×D5—21no—
415C22×D5—34no—
416C22×D5—68no—
417C22×D5—62no—
418C22×D5—62no—
419C22×D5—244no—
420C22×D5—242no—
421C5×Q8—32no—
422C5×Q8—61no—
423C5×Q8—61no—
424C5×Q8—61no—
425C5×D4—32no—
426C5×D4—62no—
427C5×D4—62no—
428C5×D4—61no—
429C5×D4—61no—
430C5×D4—61no—
431C5×D4—121no—
432C5×D4—121no—
433C2×C4×C5—61no—
434C2×C4×C5—62no—
435C2×C4×C5—62no—
436C2×C4×C5—61no—
437C2×C4×C5—121no—
438C2×C4×C5—121no—
439C2×C4×C5C2×D1211yescharacteristic
440C2×C4×C5C2×D1211yescharacteristic
441C2×C4×C5D3×D411yescharacteristic
442C2×C4×C5D3×D411yescharacteristic
443C2×C4×C5D3×D411yescharacteristic
444C2×C4×C5C23×D311yescharacteristic
445C22⋊D5—22no—
446C22⋊D5—22no—
447C22⋊D5—68no—
448C22⋊D5—244no—
449C2×Dic5—21no—
450C2×Dic5—22no—
451D20—21no—
452D20—68no—
453D20—62no—
454D20—62no—
455D20—62no—
456D20—62no—
457D20C2×D1212yes—
458C4×D5—22no—
459C4×D5—22no—
460C4×D5—68no—
461Dic10—21no—
462Dic10C2×D1212yes—
463C5×C8—22no—
464#168—62no—
465H(5,𝔽2)—154no—
466H(5,𝔽2)—302no—
467H(5,𝔽2)—302no—
468H(5,𝔽2)—302no—
469C2×#41—31no—
470C2×#41—31no—
471C2×#41—51no—
472C2×#41—301no—
473C2×#41—301no—
474C22×D4—151no—
475C22×D4—301no—
476C22×D4—301no—
477C22×D4—302no—
478#137—32no—
479#137—61no—
480#137—152no—
481#137—301no—
482AGL(1,ℤ/8)—32no—
483AGL(1,ℤ/8)—61no—
484AGL(1,ℤ/8)—152no—
485AGL(1,ℤ/8)—301no—
486#135—62no—
487#135—302no—
488C2×M16—151no—
489C2×M16D3×D511yescharacteristic, complemented
490#127—152no—
491#124—152no—
492#121—302no—
493#120—302no—
494#117—51no—
495#104—54no—
496#104—154no—
497#100—154no—
498C2×C3×C5—21no—
499C2×C3×C5—21no—
500C2×C3×C5—21no—
501C2×C3×C5C2×#12011yescharacteristic
502D15—44no—
503C3×D5—42no—
504C5×D3—42no—
505C5×D3—81no—
506C23×C3—101no—
507C23×C3D4×D511yescharacteristic
508C22×D3—21no—
509C22×D3—21no—
510C22×D3—54no—
511C22×D3—108no—
512C22×D3—102no—
513C22×D3—102no—
514C22×D3—404no—
515C22×D3—402no—
516C3×Q8—52no—
517C3×Q8—101no—
518C3×D4—52no—
519C3×D4—102no—
520C3×D4—102no—
521C3×D4—101no—
522C2×C3×C4—101no—
523C2×C3×C4—102no—
524C2×C3×C4—102no—
525C2×C3×C4—102no—
526C2×C3×C4D4×D511yescharacteristic
527C2×C3×C4D4×D511yescharacteristic
528C2×C3×C4D4×D511yescharacteristic
529C2×C3×C4C2×C22⋊D511yescharacteristic
530C2×C3×C4C2×C22⋊D511yescharacteristic
531C2×C3×C4C23×D511yescharacteristic
532#67—22no—
533#67—22no—
534#67—41no—
535#67—41no—
536#67—108no—
537C2×Dic3—21no—
538C2×Dic3—21no—
539D12—21no—
540D12—21no—
541D12—21no—
542D12—108no—
543D12—102no—
544D12—102no—
545D12—102no—
546D12—102no—
547D12—404no—
548D12C2×C22⋊D512yes—
549C4×D3—22no—
550C4×D3—22no—
551C4×D3—41no—
552C4×D3—41no—
553C4×D3—108no—
554Dic6—21no—
555Dic6—21no—
556Dic6—21no—
557Dic6C2×C22⋊D512yes—
558C3×C8—22no—
559C3⋊C8—102no—
560C22×C5—41no—
561C22×C5—62no—
562C22×C5—122no—
563C22×C5—122no—
564C22×C5—121no—
565C22×C5#88211yescharacteristic
566C22×C5#88211yescharacteristic
567C22×C5C2×D3×D411yescharacteristic
568C2×D5—22no—
569C2×D5—42no—
570C2×D5—64no—
571C2×D5—124no—
572C2×D5—124no—
573C2×D5—248no—
574C2×D5—242no—
575C4×C5—62no—
576C4×C5—121no—
577C4×C5#88211yescharacteristic
578C4×C5#88211yescharacteristic
579C4×C5C22×D1211yescharacteristic
580C4×C5C2×D3×D411yescharacteristic
581Dic5—22no—
582Dic5—42no—
583C24—152no—
584C24—302no—
585#41—32no—
586#41—32no—
587#41—52no—
588#41—52no—
589#41—61no—
590#41—61no—
591#41—61no—
592#41—61no—
593#41—61no—
594#41—61no—
595#41—101no—
596#41—101no—
597#41—304no—
598#41—304no—
599#41—304no—
600#41—304no—
601C2×Q8—31no—
602C2×Q8—31no—
603C2×Q8—51no—
604C2×D4—31no—
605C2×D4—31no—
606C2×D4—51no—
607C2×D4—61no—
608C2×D4—61no—
609C2×D4—101no—
610C2×D4—152no—
611C2×D4—152no—
612C2×D4—304no—
613C2×D4—304no—
614C2×D4—302no—
615C2×D4—304no—
616C2×D4—304no—
617C2×D4—302no—
618C2×D4—304no—
619C2×D4—308no—
620C2×D4—308no—
621C2×D4—301no—
622C2×D4—301no—
623C2×D4—301no—
624C2×D4—301no—
625C22×C4—61no—
626C22×C4—61no—
627C22×C4—101no—
628C22×C4—302no—
629C22×C4C2×D3×D511yescharacteristic
630Q16—62no—
631Q16—302no—
632SD16—62no—
633SD16—62no—
634SD16—302no—
635SD16—302no—
636D8—62no—
637D8—302no—
638M16—21no—
639M16—152no—
640M16—301no—
641M16C2×D3×D512yescomplemented
642C2×C8—21no—
643C2×C8—301no—
644C4⋊C4—101no—
645C22⋊C4—101no—
646C22⋊C4—304no—
647C42—52no—
648C3×C5#301911yescharacteristic, complemented, Hall
649C22×C3—41no—
650C22×C3—102no—
651C22×C3—202no—
652C22×C3#408311yescharacteristic
653C22×C3#408311yescharacteristic
654C22×C3C2×D4×D511yescharacteristic
655C2×D3—22no—
656C2×D3—42no—
657C2×D3—42no—
658C2×D3—41no—
659C2×D3—104no—
660C2×D3—204no—
661C2×D3—204no—
662C2×D3—408no—
663C2×D3—402no—
664C3×C4—102no—
665C3×C4—202no—
666C3×C4#408311yescharacteristic
667C3×C4#408311yescharacteristic
668C3×C4C2×D4×D511yescharacteristic
669C3×C4C22×C22⋊D511yescharacteristic
670Dic3—22no—
671Dic3—41no—
672C2×C5—21no—
673C2×C5—21no—
674C2×C5—21no—
675C2×C5—122no—
676C2×C5—241no—
677C2×C5C2×#88211yescharacteristic
678D5—42no—
679D5—124no—
680C23—61no—
681C23—61no—
682C23—101no—
683C23—154no—
684C23—308no—
685C23—302no—
686C23—302no—
687C23—1202no—
688C23—1204no—
689C23#677711yescharacteristic
690Q8—32no—
691Q8—52no—
692Q8—61no—
693Q8—61no—
694Q8—61no—
695Q8—101no—
696D4—32no—
697D4—52no—
698D4—62no—
699D4—62no—
700D4—61no—
701D4—61no—
702D4—61no—
703D4—102no—
704D4—102no—
705D4—101no—
706D4—121no—
707D4—121no—
708D4—308no—
709D4—308no—
710D4—302no—
711D4—302no—
712D4—302no—
713D4—302no—
714D4—1204no—
715C2×C4—61no—
716C2×C4—62no—
717C2×C4—62no—
718C2×C4—61no—
719C2×C4—101no—
720C2×C4—102no—
721C2×C4—102no—
722C2×C4—102no—
723C2×C4—121no—
724C2×C4—121no—
725C2×C4—308no—
726C2×C4D5×D1211yescharacteristic
727C2×C4D5×D1211yescharacteristic
728C2×C4#677711yescharacteristic
729C2×C4D3×C22⋊D511yescharacteristic
730C2×C4D3×C22⋊D511yescharacteristic
731C2×C4C22×D3×D511yescharacteristic
732C8—22no—
733C8—302no—
734C2×C3—21no—
735C2×C3—21no—
736C2×C3—21no—
737C2×C3—202no—
738C2×C3C2×#408311yescharacteristic
739D3—42no—
740D3—81no—
741D3—204no—
742C5#7899311yescharacteristic, complemented, Sylow
743C22—41no—
744C22—62no—
745C22—102no—
746C22—122no—
747C22—122no—
748C22—121no—
749C22—202no—
750C22—304no—
751C22—604no—
752C22—604no—
753C22—1202no—
754C22—1208no—
755C22#9147511yescharacteristic
756C22#9147511yescharacteristic
757C22C2×#677711yescharacteristic
758C4—62no—
759C4—102no—
760C4—121no—
761C4—202no—
762C4#9147511yescharacteristic
763C4#9147511yescharacteristic
764C4C2×D5×D1211yescharacteristic
765C4C2×D3×C22⋊D511yescharacteristic
766C3#1061573611yescharacteristic, complemented, Sylow
767C2—21no—
768C2—21no—
769C2—21no—
770C2—122no—
771C2—202no—
772C2—241no—
773C2—604no—
774C2C2×#9147511yescharacteristic
subgroupG/H
centerC2C2×#91475
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×M16C22
socleC2×C3×C5C2×#120
hypercenterC2×M16D3×D5
hypocenterC3×C5#3019
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C2 ◁ C22×C4 ◁ C2×M16

Complements

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

NH ≅ G/Ntype
1. C2×#92019C2semidirect
2. C5×#5748C2semidirect
3. #11754610C2semidirect
4. #11754138C2semidirect
5. C2×#91107C2semidirect
6. C3×#65428C2semidirect
7. #11748425C2semidirect
8. #11748247C2semidirect
9. #11748245C2semidirect
13. C2×C5×#235C22semidirect
24. C2×C3×C5×M16C22semidirect
25. C2×#6710C22semidirect
27. C5×#909C22semidirect
29. C5×#908C22semidirect
31. C3×#4072C22semidirect
34. #91451C22semidirect
35. #91375C22semidirect
37. #91307C22semidirect
38. #91299C22semidirect
41. #91107C22semidirect
42. C3×#3957C22semidirect
43. #90979C22semidirect
52. #65428D3semidirect
71. C5×#235D4semidirect
73. C2×C5×D12D4semidirect
74. C2×C5×D12C23semidirect
77. C2×C5×Dic6D4semidirect
78. C2×C5×Dic6C23semidirect
82. C3×#709D4semidirect
84. C2×C3×D20D4semidirect
86. C2×C3×Dic10D4semidirect
102. C3×C5×M16C23semidirect
105. #6710C23semidirect
113. C3×C4×Dic5C23semidirect
121. #5748D5semidirect
146. C2×C5×M16C2×D3semidirect
156. #4072C2×D3semidirect
159. #3957C2×D3semidirect
226. C2×#235C2×D5semidirect
229. C2×C3×M16C2×D5semidirect
238. #909C2×D5semidirect
240. #908C2×D5semidirect
281. #709D12semidirect
292. C2×D20D12semidirect
295. C2×Dic10D12semidirect
301. C5×M16C22×D3semidirect
310. C4×Dic5C22×D3semidirect
374. #235C22⋊D5semidirect
386. C2×D12C22⋊D5semidirect
387. C2×D12C22×D5semidirect
391. C2×Dic6C22⋊D5semidirect
392. C2×Dic6C22×D5semidirect
394. C3×M16C22×D5semidirect
489. C2×M16D3×D5semidirect
641. M16C2×D3×D5semidirect
648. C3×C5#3019semidirect
742. C5#78993semidirect
766. C3#10615736semidirect

Maximal subgroups

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

subgroupindex
C2×#920192
C5×#57482
#117546102
#117541382
C2×#911072
C3×#654282
#117484252
#117482472
#117482452
#106157363
#789935