Finite Group Databasebeta

← #14425350

Subgroups — #14425350

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×C5×#1009C211yesmaximal, characteristic, complemented
2#11756581C211yesmaximal, characteristic, complemented
3#11754606C211yesmaximal, characteristic, complemented
4#11754145C211yesmaximal, characteristic, complemented
5C3×#65525C211yesmaximal, characteristic, complemented
6#11749466C214yesmaximal, complemented
7#11749420C214yesmaximal, complemented
8#11748425C211yesmaximal, characteristic, complemented
9C2×#90959C211yesmaximal, characteristic, complemented
10#10615835—31nomaximal, Hall
11C2×C3×C5×#41C2211yescharacteristic
12C2×#6817C2211yescharacteristic, complemented
13C5×#1009—22no—
14C5×#1009—22no—
15C5×#1009—22no—
16C5×#1009C2214yes—
17C2×C5×#239—21no—
18C2×C5×D3×D4—22no—
19C2×C5×D3×D4—21no—
20C2×C5×#235—21no—
21C2×C5×#235C2211yescharacteristic
22C22×C5×D12—21no—
23C22×C5×D12C2211yescharacteristic
24#91840C2212yescomplemented
25#91839—22no—
26#91838C2212yescomplemented
27#91831—21no—
28#91821—21no—
29C2×#6710C2211yescharacteristic, complemented
30C3×#4072C2211yescharacteristic, complemented
31C2×C3×#681C2211yescharacteristic, complemented
32#91570—22no—
33#91466—22no—
34#91451C2212yescomplemented
35#91373C2212yescomplemented
36#91322C2212yescomplemented
37#91321—21no—
38#91305C2212yescomplemented
39#91304—21no—
40#91303—22no—
41C3×#3969C2214yescomplemented
42#90979C2214yescomplemented
43#90959C2214yescomplemented
44#78993—51nomaximal, Hall
45C2×C5×H(5,𝔽2)—31no—
46#66156—31no—
47#66156—31no—
48#66139—31no—
49#65531—34no—
50#65530—34no—
51#65525—31no—
52#65525D311yescharacteristic, complemented
53C2×#3965—31no—
54C23×C5×D3—22no—
55C23×C5×D3D412yes—
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—21no—
66#6817—21no—
67#6817—21no—
68#6817—21no—
69#6817—21no—
70C2×D60C2311yescharacteristic, complemented
71C2×C4×D15—21no—
72C2×Dic30C2311yescharacteristic, complemented
73C2×C5×#67—22no—
74C2×C5×#67—21no—
75C5×#239—24no—
76C5×#239—24no—
77C5×D3×D4—28no—
78C5×D3×D4—24no—
79C5×D3×D4—28no—
80C5×D3×D4—24no—
81C5×#235—24no—
82C5×#235—21no—
83C5×#235—21no—
84C5×#235—24no—
85C5×#235D412yescomplemented
86C5×#235C2312yes—
87C2×C5×D12—22no—
88C2×C5×D12—24no—
89C2×C5×D12—21no—
90C2×C5×D12—21no—
91C2×C5×D12—21no—
92C2×C5×D12—21no—
93C2×C5×D12—24no—
94C2×C5×D12D412yes—
95C2×C5×D12D411yescharacteristic, complemented
96C2×C5×D12C2312yes—
97C2×C4×C5×D3—22no—
98C2×C4×C5×D3—21no—
99C2×C5×Dic6D411yescharacteristic, complemented
100C2×#1203—24no—
101#6718—22no—
102#6717—22no—
103#6716—22no—
104#6715—22no—
105#6710—21no—
106#6710C2312yescomplemented
107C2×C3⋊#168—21no—
108C3×C22⋊Dic5—21no—
109C3×C4⋊Dic5—21no—
110C3×C4×Dic5C2312yescomplemented
111C3×#681—21no—
112C3×#681C2312yescomplemented
113C2×C3×#168—21no—
114(C2×D3)⋊Dic5—24no—
115#6663—22no—
116#6660—22no—
117#6659—22no—
118#6654—22no—
119C2×#1009D511yescharacteristic, complemented
120#5822—51no—
121#5748—51no—
122#5525—51no—
123C3×#421—51no—
124C2×#823—51no—
125#5005—51no—
126#4825—54no—
127#4822—54no—
128C5×H(5,𝔽2)—34no—
129C5×H(5,𝔽2)—62no—
130C5×H(5,𝔽2)—62no—
131C5×H(5,𝔽2)—62no—
132C2×C5×#41—31no—
133C2×C5×#41—61no—
134C2×C5×#41—61no—
135C2×C5×#41C2×D311yescharacteristic
136C22×C5×D4—31no—
137C22×C5×D4—61no—
138C22×C5×D4—62no—
139C22×C5×D4—61no—
140C2×#709—31no—
141#4099—62no—
142#4097—32no—
143#4097—32no—
144#4096—62no—
145#4096—62no—
146#4095—32no—
147#4095—32no—
148#4088—61no—
149#4088—61no—
150#4086—32no—
151#4084—62no—
152#4082—32no—
153#4078—61no—
154#4078—61no—
155#4072C2×D311yescharacteristic, complemented
156C2×#681—31no—
157C2×#681C2×D311yescharacteristic, complemented
158#3969—34no—
159#3969C2×D314yescomplemented
160#3965—34no—
161#3019—151noSylow
162C23×C3×C5—21no—
163C23×C3×C5C2×D411yescharacteristic
164C22×D15—21no—
165C22×C5×D3—22no—
166C22×C5×D3—21no—
167C22×C5×D3—28no—
168C22×C5×D3—22no—
169C22×C5×D3—82no—
170C22×C5×D3—84no—
171C22×C5×D3C2×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×C5C2×D411yescharacteristic
182C2×C3×C4×C5C2×D411yescharacteristic
183C2×C3×C4×C5C2×D411yescharacteristic
184C2×C3×C4×C5C2×D411yescharacteristic
185C2×C3×C4×C5C2×D411yescharacteristic
186C2×C3×C4×C5C2411yescharacteristic
187#1220—41no—
188#1220—41no—
189C2×Dic15—21no—
190D60—21no—
191D60—21no—
192C4×D15—41no—
193C4×D15—41no—
194Dic30—21no—
195Dic30—21no—
196C5×#67—28no—
197C5×#67—22no—
198C5×#67—22no—
199C2×C5×Dic3—21no—
200C5×D12—28no—
201C5×D12—22no—
202C5×D12—21no—
203C5×D12—22no—
204C5×D12—22no—
205C5×D12—22no—
206C5×D12C2×D412yes—
207C4×C5×D3—28no—
208C4×C5×D3—22no—
209C4×C5×D3—22no—
210C5×Dic6—21no—
211C5×Dic6C2×D412yes—
212C2×C3×Dic5—22no—
213#1203—84no—
214C3⋊#168—22no—
215C3×#168—22no—
216C2×C3×#41C2×D511yescharacteristic
217#1009—22no—
218#1009—22no—
219#1009—22no—
220#1009C2×D514yes—
221C2×#239—21no—
222C2×D3×D4—22no—
223C2×D3×D4—21no—
224C2×#235—21no—
225C2×#235—51no—
226C2×#235C2×D511yescharacteristic
227C22×D12—21no—
228C22×D12C2×D511yescharacteristic
229C2×C3×M16—51no—
230C3×#117—51no—
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×#104—54no—
247#823—54no—
248#805—54no—
249C24×C5—32no—
250C24×C5—62no—
251C5×#41—21no—
252C5×#41—21no—
253C5×#41—32no—
254C5×#41—32no—
255C5×#41—64no—
256C5×#41—64no—
257C5×#41—64no—
258C5×#41—64no—
259C5×#41—61no—
260C5×#41—61no—
261C5×#41D1212yescomplemented
262C5×#41C22×D312yes—
263C2×C5×Q8—31no—
264C2×C5×Q8D1211yescharacteristic, complemented
265C2×C5×D4—21no—
266C2×C5×D4—31no—
267C2×C5×D4—32no—
268C2×C5×D4—32no—
269C2×C5×D4—64no—
270C2×C5×D4—62no—
271C2×C5×D4—64no—
272C2×C5×D4—68no—
273C2×C5×D4—68no—
274C2×C5×D4—64no—
275C2×C5×D4—62no—
276C2×C5×D4—61no—
277C2×C5×D4—64no—
278C2×C5×D4—61no—
279C2×C5×D4—61no—
280C2×C5×D4—61no—
281C2×C5×D4—61no—
282C2×C5×D4D1211yescharacteristic, complemented
283C22×C4×C5—21no—
284C22×C4×C5—62no—
285C22×C4×C5—61no—
286C22×C4×C5C22×D311yescharacteristic
287C2×C22⋊D5—64no—
288C2×C22⋊D5—61no—
289#709—61no—
290#709—61no—
291#709—61no—
292#709—61no—
293C2×D20—31no—
294C2×C4×D5—61no—
295C2×Dic10—31no—
296C22⋊Dic5—21no—
297C22⋊Dic5—64no—
298#689—62no—
299#689—62no—
300#688—62no—
301#688—62no—
302#687—62no—
303#687—62no—
304#686—62no—
305#686—62no—
306C4⋊Dic5—21no—
307C4×Dic5C22×D312yescomplemented
308#681—21no—
309#681—32no—
310#681—61no—
311#681C22×D312yescomplemented
312C2×#168—21no—
313C2×#168—61no—
314C2×H(5,𝔽2)—31no—
315#575—151no—
316#575—151no—
317#535—151no—
318#455—154no—
319#453—154no—
320#421—51no—
321#421—151no—
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—42no—
330C2×D15—41no—
331C2×C5×D3—24no—
332C2×C5×D3—22no—
333C2×C5×D3—44no—
334C2×C5×D3—42no—
335C2×C5×D3—44no—
336C2×C5×D3—82no—
337C2×C5×D3—88no—
338C3×C4×C5—22no—
339C3×C4×C5#12011yescharacteristic
340C3×C4×C5#12011yescharacteristic
341C3×C4×C5C22×D411yescharacteristic
342C3×C4×C5C22×D411yescharacteristic
343Dic15—41no—
344C3×Dic5—42no—
345C5×Dic3—22no—
346C23×D3—22no—
347C23×D3C22⋊D512yes—
348C3×#41—21no—
349C3×#41—21no—
350C3×#41C22⋊D512yescomplemented
351C3×#41C22×D512yes—
352C2×C3×Q8C22⋊D511yescharacteristic, complemented
353C2×C3×D4—21no—
354C2×C3×D4C22⋊D511yescharacteristic, complemented
355C22×C3×C4—21no—
356C22×C3×C4C22×D511yescharacteristic
357C2×#67—22no—
358C2×#67—21no—
359C2×#67—101no—
360#239—24no—
361#239—24no—
362D3×D4—28no—
363D3×D4—24no—
364D3×D4—28no—
365D3×D4—24no—
366#235—24no—
367#235—21no—
368#235—21no—
369#235—24no—
370#235—101no—
371#235—101no—
372#235—101no—
373#235—101no—
374#235C22⋊D512yescomplemented
375#235C22×D512yes—
376C2×D12—22no—
377C2×D12—24no—
378C2×D12—21no—
379C2×D12—21no—
380C2×D12—21no—
381C2×D12—21no—
382C2×D12—24no—
383C2×D12—51no—
384C2×D12—104no—
385C2×D12C22⋊D512yes—
386C2×D12C22⋊D511yescharacteristic, complemented
387C2×D12C22×D512yes—
388C2×C4×D3—22no—
389C2×C4×D3—21no—
390C2×C4×D3—101no—
391C2×Dic6—51no—
392C2×Dic6C22⋊D511yescharacteristic, complemented
393C3×M16—52no—
394C3×M16—101no—
395C2×C3×C8—101no—
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—102no—
408D24—102no—
409#204—102no—
410#204—102no—
411C23×C5—21no—
412C23×C5—34no—
413C23×C5—68no—
414C23×C5—61no—
415C23×C5—62no—
416C23×C5—62no—
417C23×C5—242no—
418C23×C5—244no—
419C23×C5D3×D411yescharacteristic
420C22×D5—61no—
421C5×Q8—21no—
422C5×Q8—32no—
423C5×Q8—61no—
424C5×Q8C2×D1212yes—
425C5×D4—22no—
426C5×D4—22no—
427C5×D4—21no—
428C5×D4—32no—
429C5×D4—68no—
430C5×D4—68no—
431C5×D4—62no—
432C5×D4—62no—
433C5×D4—61no—
434C5×D4—62no—
435C5×D4—62no—
436C5×D4—62no—
437C5×D4—62no—
438C5×D4C2×D1212yes—
439C2×C4×C5—21no—
440C2×C4×C5—22no—
441C2×C4×C5—22no—
442C2×C4×C5—68no—
443C2×C4×C5—61no—
444C2×C4×C5—62no—
445C2×C4×C5—62no—
446C2×C4×C5C2×D1211yescharacteristic
447C2×C4×C5C2×D1211yescharacteristic
448C2×C4×C5D3×D411yescharacteristic
449C2×C4×C5D3×D411yescharacteristic
450C2×C4×C5D3×D411yescharacteristic
451C2×C4×C5C23×D311yescharacteristic
452C22⋊D5—121no—
453C22⋊D5—121no—
454C22⋊D5—244no—
455C2×Dic5—22no—
456C2×Dic5—61no—
457D20—61no—
458D20—61no—
459C4×D5—121no—
460C4×D5—121no—
461Dic10—61no—
462Dic10—61no—
463#168—22no—
464#168—62no—
465H(5,𝔽2)—34no—
466H(5,𝔽2)—62no—
467H(5,𝔽2)—62no—
468H(5,𝔽2)—62no—
469C2×#41—31no—
470C2×#41—61no—
471C2×#41—61no—
472C2×#41—151no—
473C2×#41D3×D511yescharacteristic
474C22×D4—31no—
475C22×D4—61no—
476C22×D4—62no—
477C22×D4—61no—
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—51no—
489C2×M16—151no—
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×C5—42no—
502C2×C3×C5C2×#12011yescharacteristic
503D15—81no—
504C5×D3—44no—
505C5×D3—42no—
506C23×C3—21no—
507C23×C3C2×C22⋊D511yescharacteristic
508C22×D3—22no—
509C22×D3—21no—
510C22×D3—28no—
511C22×D3—22no—
512C22×D3—82no—
513C22×D3—84no—
514C22×D3—101no—
515C22×D3C2×C22⋊D514yes—
516C3×Q8—21no—
517C3×Q8C2×C22⋊D512yes—
518C3×D4—22no—
519C3×D4—22no—
520C3×D4—21no—
521C3×D4C2×C22⋊D512yes—
522C2×C3×C4—21no—
523C2×C3×C4—22no—
524C2×C3×C4—22no—
525C2×C3×C4—102no—
526C2×C3×C4C2×C22⋊D511yescharacteristic
527C2×C3×C4C2×C22⋊D511yescharacteristic
528C2×C3×C4C2×C22⋊D511yescharacteristic
529C2×C3×C4C2×C22⋊D511yescharacteristic
530C2×C3×C4C2×C22⋊D511yescharacteristic
531C2×C3×C4C23×D511yescharacteristic
532#67—28no—
533#67—22no—
534#67—22no—
535#67—201no—
536#67—201no—
537C2×Dic3—21no—
538C2×Dic3—101no—
539D12—28no—
540D12—22no—
541D12—21no—
542D12—22no—
543D12—22no—
544D12—22no—
545D12—101no—
546D12—101no—
547D12—404no—
548D12C2×C22⋊D512yes—
549C4×D3—28no—
550C4×D3—22no—
551C4×D3—22no—
552C4×D3—201no—
553C4×D3—201no—
554Dic6—21no—
555Dic6—101no—
556Dic6—101no—
557Dic6C2×C22⋊D512yes—
558C3×C8—102no—
559C3⋊C8—102no—
560C22×C5—22no—
561C22×C5—41no—
562C22×C5—42no—
563C22×C5—62no—
564C22×C5—64no—
565C22×C5—124no—
566C22×C5—124no—
567C22×C5—122no—
568C22×C5—242no—
569C22×C5—248no—
570C22×C5#88211yescharacteristic
571C22×C5#88211yescharacteristic
572C22×C5C2×D3×D411yescharacteristic
573C2×D5—122no—
574C2×D5—121no—
575C4×C5—22no—
576C4×C5—62no—
577C4×C5#88211yescharacteristic
578C4×C5#88211yescharacteristic
579C4×C5C22×D1211yescharacteristic
580C4×C5C2×D3×D411yescharacteristic
581Dic5—42no—
582Dic5—121no—
583C24—32no—
584C24—62no—
585#41—21no—
586#41—21no—
587#41—32no—
588#41—32no—
589#41—64no—
590#41—64no—
591#41—64no—
592#41—64no—
593#41—61no—
594#41—61no—
595#41—301no—
596#41—301no—
597#41—301no—
598#41—301no—
599#41#120312yescomplemented
600#41C2×D3×D512yes—
601C2×Q8—31no—
602C2×Q8—151no—
603C2×Q8#120311yescharacteristic, complemented
604C2×D4—21no—
605C2×D4—31no—
606C2×D4—32no—
607C2×D4—32no—
608C2×D4—64no—
609C2×D4—62no—
610C2×D4—64no—
611C2×D4—68no—
612C2×D4—68no—
613C2×D4—64no—
614C2×D4—62no—
615C2×D4—61no—
616C2×D4—64no—
617C2×D4—61no—
618C2×D4—61no—
619C2×D4—61no—
620C2×D4—61no—
621C2×D4—151no—
622C2×D4—304no—
623C2×D4—301no—
624C2×D4#120311yescharacteristic, complemented
625C22×C4—21no—
626C22×C4—62no—
627C22×C4—61no—
628C22×C4—301no—
629C22×C4C2×D3×D511yescharacteristic
630Q16—302no—
631Q16—302no—
632SD16—302no—
633SD16—302no—
634SD16—302no—
635SD16—302no—
636D8—302no—
637D8—302no—
638M16—52no—
639M16—101no—
640M16—152no—
641M16—301no—
642C2×C8—101no—
643C2×C8—301no—
644C4⋊C4—101no—
645C22⋊C4—101no—
646C22⋊C4—304no—
647C42—52no—
648C3×C5#301911yescharacteristic, complemented, Hall
649C22×C3—22no—
650C22×C3—41no—
651C22×C3—42no—
652C22×C3#409911yescharacteristic
653C22×C3#409911yescharacteristic
654C22×C3C22×C22⋊D511yescharacteristic
655C2×D3—24no—
656C2×D3—22no—
657C2×D3—44no—
658C2×D3—42no—
659C2×D3—44no—
660C2×D3—82no—
661C2×D3—88no—
662C2×D3—202no—
663C2×D3—201no—
664C3×C4—22no—
665C3×C4—202no—
666C3×C4#409911yescharacteristic
667C3×C4#409911yescharacteristic
668C3×C4C22×C22⋊D511yescharacteristic
669C3×C4C22×C22⋊D511yescharacteristic
670Dic3—22no—
671Dic3—201no—
672C2×C5—21no—
673C2×C5—21no—
674C2×C5—21no—
675C2×C5—42no—
676C2×C5—124no—
677C2×C5—122no—
678C2×C5C2×#88211yescharacteristic
679D5—241no—
680C23—21no—
681C23—34no—
682C23—68no—
683C23—61no—
684C23—62no—
685C23—62no—
686C23—242no—
687C23—244no—
688C23—301no—
689C23D3×C22⋊D511yescharacteristic
690Q8—21no—
691Q8—32no—
692Q8—61no—
693Q8—301no—
694Q8—301no—
695Q8C2×#120312yes—
696D4—22no—
697D4—22no—
698D4—21no—
699D4—32no—
700D4—68no—
701D4—68no—
702D4—62no—
703D4—62no—
704D4—62no—
705D4—62no—
706D4—61no—
707D4—62no—
708D4—62no—
709D4—301no—
710D4—301no—
711D4—601no—
712D4—601no—
713D4—1204no—
714D4C2×#120312yes—
715C2×C4—21no—
716C2×C4—22no—
717C2×C4—22no—
718C2×C4—68no—
719C2×C4—61no—
720C2×C4—62no—
721C2×C4—62no—
722C2×C4—102no—
723C2×C4—301no—
724C2×C4—601no—
725C2×C4—601no—
726C2×C4C2×#120311yescharacteristic
727C2×C4C2×#120311yescharacteristic
728C2×C4D3×C22⋊D511yescharacteristic
729C2×C4D3×C22⋊D511yescharacteristic
730C2×C4D3×C22⋊D511yescharacteristic
731C2×C4C22×D3×D511yescharacteristic
732C8—102no—
733C8—302no—
734C2×C3—21no—
735C2×C3—21no—
736C2×C3—21no—
737C2×C3—42no—
738C2×C3C2×#409911yescharacteristic
739D3—44no—
740D3—42no—
741D3—401no—
742C5#7899311yescharacteristic, complemented, Sylow
743C22—22no—
744C22—41no—
745C22—42no—
746C22—62no—
747C22—64no—
748C22—124no—
749C22—124no—
750C22—122no—
751C22—242no—
752C22—248no—
753C22—602no—
754C22—601no—
755C22#9157011yescharacteristic
756C22#9157011yescharacteristic
757C22C2×D3×C22⋊D511yescharacteristic
758C4—22no—
759C4—62no—
760C4—202no—
761C4—601no—
762C4#9157011yescharacteristic
763C4#9157011yescharacteristic
764C4C22×#120311yescharacteristic
765C4C2×D3×C22⋊D511yescharacteristic
766C3#1061583511yescharacteristic, complemented, Sylow
767C2—21no—
768C2—21no—
769C2—21no—
770C2—42no—
771C2—124no—
772C2—122no—
773C2—1201no—
774C2C2×#9157011yescharacteristic
subgroupG/H
centerC2C2×#91570
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC2×C3×C5C2×#120
hypercenterC2×#41D3×D5
hypocenterC3×C5#3019
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C2 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×C5×#1009C2semidirect
2. #11756581C2semidirect
3. #11754606C2semidirect
4. #11754145C2semidirect
5. C3×#65525C2semidirect
6. #11749466C2semidirect
7. #11749420C2semidirect
8. #11748425C2semidirect
9. C2×#90959C2semidirect
12. C2×#6817C22semidirect
24. #91840C22semidirect
26. #91838C22semidirect
29. C2×#6710C22semidirect
30. C3×#4072C22semidirect
31. C2×C3×#681C22semidirect
34. #91451C22semidirect
35. #91373C22semidirect
36. #91322C22semidirect
38. #91305C22semidirect
41. C3×#3969C22semidirect
42. #90979C22semidirect
43. #90959C22semidirect
52. #65525D3semidirect
58. C3×C5×#41D4semidirect
60. C2×C3×C5×Q8D4semidirect
62. C2×C3×C5×D4D4semidirect
70. C2×D60C23semidirect
72. C2×Dic30C23semidirect
85. C5×#235D4semidirect
95. C2×C5×D12D4semidirect
99. C2×C5×Dic6D4semidirect
106. #6710C23semidirect
110. C3×C4×Dic5C23semidirect
112. C3×#681C23semidirect
119. C2×#1009D5semidirect
155. #4072C2×D3semidirect
157. C2×#681C2×D3semidirect
159. #3969C2×D3semidirect
261. C5×#41D12semidirect
264. C2×C5×Q8D12semidirect
282. C2×C5×D4D12semidirect
307. C4×Dic5C22×D3semidirect
311. #681C22×D3semidirect
350. C3×#41C22⋊D5semidirect
352. C2×C3×Q8C22⋊D5semidirect
354. C2×C3×D4C22⋊D5semidirect
374. #235C22⋊D5semidirect
386. C2×D12C22⋊D5semidirect
392. C2×Dic6C22⋊D5semidirect
599. #41#1203semidirect
603. C2×Q8#1203semidirect
624. C2×D4#1203semidirect
648. C3×C5#3019semidirect
742. C5#78993semidirect
766. C3#10615835semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#10092
#117565812
#117546062
#117541452
C3×#655252
#117494662
#117494202
#117484252
C2×#909592
#106158353
#789935