Finite Group Databasebeta

← #14417463

Subgroups — #14417463

Order 1920.

984 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D5×#204C211yesmaximal, characteristic
2#11752725C211yesmaximal, characteristic
3#11752516C211yesmaximal, characteristic, complemented
4#11750811C211yesmaximal, characteristic, complemented
5C5×#4710C211yesmaximal, characteristic, complemented
6C3×#64997C211yesmaximal, characteristic, complemented
7#11748122C211yesmaximal, characteristic, complemented
8#11748105C211yesmaximal, characteristic
9#11747833C211yesmaximal, characteristic, complemented
10#11747778C211yesmaximal, characteristic, complemented
11#11747769C211yesmaximal, characteristic, complemented
12#11747744C211yesmaximal, characteristic, complemented
13#11747672C211yesmaximal, characteristic, complemented
14C4×#6660C211yesmaximal, characteristic, complemented
15C4×#6659C211yesmaximal, characteristic, complemented
16#10611508—31nomaximal, Hall
17C2×D5×D12C2211yescharacteristic
18C2×D5×Dic6C2211yescharacteristic
19C2×#6706C2211yescharacteristic
20C4×D60C2211yescharacteristic
21C4×Dic30C2211yescharacteristic, complemented
22C2×C5×#204C2211yescharacteristic
23C4×C5×D12C2211yescharacteristic
24C4×C5×Dic6C2211yescharacteristic, complemented
25C2×C3×#676C2211yescharacteristic
26C2×C3×C8×D5C2211yescharacteristic
27C3×#4018C2211yescharacteristic
28#91473—21no—
29D3×#685—21no—
30#91446—21no—
31#91418C2211yescharacteristic
32Dic5×D12C2211yescharacteristic
33#91406—21no—
34#91394—21no—
35#91393—21no—
36#91358C2211yescharacteristic
37#91358C2211yescharacteristic
38#91333C2211yescharacteristic, complemented
39Dic5×Dic6C2211yescharacteristic, complemented
40#91325—21no—
41#91324—21no—
42C2×#6660C2211yescharacteristic
43C2×#6659C2211yescharacteristic
44D5×#204C418yescomplemented
45C3×C5×#97C2211yescharacteristic, complemented
46#91105C2211yescharacteristic
47#91102C2211yescharacteristic, complemented
48#91100C2211yescharacteristic, complemented
49C5×#821C2211yescharacteristic
50C5×#818C2211yescharacteristic, complemented
51C5×#816C2211yescharacteristic, complemented
52C3×#3947C2211yescharacteristic, complemented
53C3×C8×Dic5C2211yescharacteristic, complemented
54C3×C4×#168C2211yescharacteristic, complemented
55#90985C2211yescharacteristic, complemented
56#90985C2211yescharacteristic, complemented
57#90975C2211yescharacteristic, complemented
58#90973C2211yescharacteristic, complemented
59#90969C2211yescharacteristic
60#90967C2211yescharacteristic
61#78572—51nomaximal, Hall
62C2×D5×SD16—31no—
63#65906—31no—
64#65879—31no—
65C5×#440—31no—
66#65453—31no—
67C4×#688—31no—
68C4×#687—31no—
69#65178—31no—
70#65169—31no—
71#65091—31no—
72#65077—31no—
73#65059—31no—
74#65047—31no—
75#64999—31no—
76#64997D311yescharacteristic, complemented
77C22×D3×D5—21no—
78C2×D60C2311yescharacteristic
79C2×C4×D15—21no—
80C2×Dic30C2311yescharacteristic
81C2×C5×D12C2311yescharacteristic
82C2×C4×C5×D3—21no—
83C2×C5×Dic6C2311yescharacteristic
84C2×C3×C4×D5C2311yescharacteristic
85C2×#1204—21no—
86C2×#1203—21no—
87C2×#1200—21no—
88C2×D3×Dic5—21no—
89C2×D5×Dic3—21no—
90D5×D12—22no—
91D5×D12C2×C414yes—
92D5×Dic6—22no—
93D5×Dic6C2×C414yescomplemented
94C2×C3×C5×C8C2311yescharacteristic
95C2×C3×C5×C8C2311yescharacteristic
96C3×C42×C5C2311yescharacteristic
97#6714—21no—
98C4⋊Dic15C2311yescharacteristic
99C4⋊Dic15C2311yescharacteristic
100#6712—21no—
101C4×Dic15—21no—
102#6706C2×C414yescomplemented
103C5×(C2×D3)⋊C4—21no—
104C5×C4⋊Dic3C2311yescharacteristic
105C5×C4⋊Dic3C2311yescharacteristic
106C5×Dic3⋊C4—21no—
107C4×C5×Dic3—21no—
108C5×#204C2×C414yescomplemented
109C3×#685D411yescharacteristic
110C3×#685D411yescharacteristic
111C3×#683D411yescharacteristic
112C3×#683D411yescharacteristic
113C3×C4×Dic5C2311yescharacteristic
114C2×C3×#168C2311yescharacteristic
115C2×C3×#168C2311yescharacteristic
116C3×#676—22no—
117C3×C8×D5C2×C414yescomplemented
118Dic3⋊Dic5—21no—
119#6669—21no—
120#6667—21no—
121(C2×D3)⋊Dic5—21no—
122#6665—21no—
123#6665—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127Dic3×Dic5—21no—
128#6660C2×C414yescomplemented
129#6659C2×C414yescomplemented
130C22×#204—51no—
131#5521—51no—
132#5516—51no—
133C3×#405—51no—
134#5131—51no—
135#5120—51no—
136#5106—51no—
137#4710—51no—
138#4710—51no—
139#4710—51no—
140#4710D511yescharacteristic, complemented
141C4×#204—51no—
142C4×#204—51no—
143C4×#204—51no—
144C4×#204—51no—
145C2×Q8×D5—31no—
146C2×D4×D5—31no—
147C2×C5×SD16—31no—
148C4×C5×Q8—31no—
149C4×C5×D4—31no—
150Q8×Dic5—31no—
151C2×#688—31no—
152D4×Dic5—31no—
153C2×#687—31no—
154C4×C22⋊D5—61no—
155C2×#685—61no—
156D5×SD16—38no—
157C2×#677—31no—
158C2×#676C2×D311yescharacteristic
159C2×C8×D5C2×D311yescharacteristic
160#4039—31no—
161#4038—31no—
162#4038—31no—
163#4038—61no—
164#4033—31no—
165#4033—61no—
166#4027—61no—
167D5×C22⋊C4—61no—
168C4×D20—31no—
169#4018—61no—
170#4018C2×D311yescharacteristic
171C4×Dic10—31no—
172C4×Dic10—61no—
173C5×#107—31no—
174C5×#103—31no—
175C5×#102—31no—
176C5×#97C2×D311yescharacteristic, complemented
177#3967—31no—
178#3964—31no—
179#3953—31no—
180#3950—31no—
181#3948—31no—
182#3947C2×D311yescharacteristic, complemented
183C8×Dic5C2×D311yescharacteristic, complemented
184#3942—31no—
185#3941—31no—
186#3940—31no—
187#3940—31no—
188C4×#168C2×D311yescharacteristic, complemented
189#2949—151noSylow
190C22×D15—21no—
191C22×C5×D3—21no—
192C22×C3×D5C2×D411yescharacteristic
193C2×D3×D5—24no—
194C2×D3×D5—81no—
195C2×D3×D5—81no—
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2411yescharacteristic
199C2×Dic15—21no—
200C2×Dic15—21no—
201C2×Dic15—21no—
202D60—21no—
203D60C22×C412yes—
204C4×D15—81no—
205Dic30—21no—
206Dic30C22×C412yes—
207C2×C5×Dic3—21no—
208C2×C5×Dic3—21no—
209C2×C5×Dic3—21no—
210C5×D12—21no—
211C5×D12C22×C412yes—
212C4×C5×D3—81no—
213C5×Dic6—21no—
214C5×Dic6C22×C412yes—
215C2×C3×Dic5C2×D411yescharacteristic
216C2×C3×Dic5C2×D411yescharacteristic
217C2×C3×Dic5C2×D411yescharacteristic
218C3×C4×D5C22×C412yes—
219C3×C4×D5#4112yes—
220#1204—24no—
221#1203—24no—
222#1200—81no—
223D3×Dic5—81no—
224D5×Dic3—24no—
225C3×C5×C8—21no—
226C3×C5×C8C22×C412yes—
227C3×#168—21no—
228C3×#168C22×C412yes—
229C22×D12—51no—
230C22×Dic6—51no—
231C2×C3×M16—51no—
232C22×C3×C8—51no—
233C3×#117—51no—
234#926—51no—
235#926—51no—
236C2×#204—51no—
237C2×#204—51no—
238C2×#204—51no—
239C2×#204—58no—
240C2×#204C2×D511yescharacteristic
241#893—101no—
242#893—101no—
243#887—101no—
244#887—101no—
245D3×C22⋊C4—101no—
246D3×C22⋊C4—101no—
247#877—101no—
248#877—101no—
249C4×D12—51no—
250C4×D12—51no—
251C4×D12—51no—
252C4×D12C2×D511yescharacteristic
253C4×Dic6—51no—
254C4×Dic6—51no—
255C4×Dic6—51no—
256C4×Dic6C2×D511yescharacteristic, complemented
257C3×#97—51no—
258C3×#97C2×D511yescharacteristic, complemented
259C3×C4×C8—51no—
260C3×C4×C8—51no—
261#821—51no—
262#821—51no—
263#821—51no—
264#821C2×D511yescharacteristic
265#818—51no—
266#818C2×D511yescharacteristic, complemented
267#817—51no—
268#817—51no—
269#816—51no—
270#816—51no—
271#816—51no—
272#816C2×D511yescharacteristic, complemented
273C23×D5—61no—
274C2×C5×Q8—31no—
275C2×C5×D4—31no—
276C22×C4×C5—61no—
277C2×C22⋊D5—61no—
278C22×Dic5—61no—
279Q8×D5—34no—
280Q8×D5—62no—
281D4×D5—34no—
282D4×D5—62no—
283C2×D20—31no—
284C2×C4×D5—61no—
285C2×C4×D5—61no—
286C2×C4×D5—61no—
287C2×C4×D5C22×D311yescharacteristic
288C2×Dic10—31no—
289C2×Dic10—61no—
290C5×SD16—34no—
291C2×C5×C8C22×D311yescharacteristic
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—31no—
294C5×C4⋊C4—31no—
295C5×C4⋊C4—61no—
296C5×C22⋊C4—61no—
297C42×C5—61no—
298C42×C5C22×D311yescharacteristic
299C22⋊Dic5—61no—
300#688—34no—
301#687—34no—
302#685—61no—
303#685—61no—
304#685—61no—
305#685—61no—
306#685D1211yescharacteristic
307#685D1211yescharacteristic
308C4⋊Dic5—31no—
309C4⋊Dic5—31no—
310C4⋊Dic5—61no—
311#683—61no—
312#683—61no—
313#683D1211yescharacteristic
314#683D1211yescharacteristic
315C4×Dic5—61no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5C22×D311yescharacteristic
321C2×#168C22×D311yescharacteristic
322C2×#168C22×D311yescharacteristic
323#677—34no—
324#676—22no—
325C8×D5C4×D314yescomplemented
326C22×SD16—151no—
327#519—151no—
328#518—151no—
329#440—31no—
330#440—151no—
331#440—151no—
332#440—151no—
333C4×SD16—151no—
334C4×SD16—151no—
335C4×SD16—151no—
336C4×SD16—151no—
337#427—151no—
338#419—151no—
339#418—151no—
340#405—51no—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—22no—
343C2×D15—41no—
344C2×D15—41no—
345C2×C5×D3—22no—
346C2×C5×D3—41no—
347C2×C5×D3—41no—
348C2×C3×D5—21no—
349C2×C3×D5—21no—
350C2×C3×D5C4×D412yes—
351D3×D5—84no—
352C3×C4×C5—21no—
353C3×C4×C5—21no—
354C3×C4×C5C23×C411yescharacteristic
355C3×C4×C5C2×#4111yescharacteristic
356Dic15—22no—
357Dic15—41no—
358Dic15—41no—
359C3×Dic5—21no—
360C3×Dic5—21no—
361C3×Dic5C4×D412yes—
362C5×Dic3—22no—
363C5×Dic3—41no—
364C5×Dic3—41no—
365C23×D3—101no—
366C22×C3×C4—51no—
367C22×Dic3—101no—
368C2×D12—51no—
369C2×D12—54no—
370C2×D12—102no—
371C2×D12—101no—
372C2×D12C22×D511yescharacteristic
373C2×C4×D3—21no—
374C2×C4×D3—101no—
375C2×C4×D3—101no—
376C2×C4×D3—101no—
377C2×Dic6—51no—
378C2×Dic6—54no—
379C2×Dic6—102no—
380C2×Dic6—101no—
381C2×Dic6C22×D511yescharacteristic
382C3×M16—102no—
383C2×C3×C8—51no—
384C2×C3×C8—54no—
385C2×C3×C8—51no—
386C2×C3×C8C22×D511yescharacteristic
387C2×C3×C8C22×D511yescharacteristic
388C3×C4⋊C4—51no—
389C3×C4⋊C4—51no—
390C3×C22⋊C4—51no—
391C3×C22⋊C4—51no—
392C3×C42—51no—
393C3×C42C22×D511yescharacteristic
394#217—101no—
395#217—101no—
396(C2×D3)⋊C4—21no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399(C2×D3)⋊C4—101no—
400C4⋊Dic3—51no—
401C4⋊Dic3—51no—
402C4⋊Dic3C22×D511yescharacteristic
403C4⋊Dic3C22×D511yescharacteristic
404Dic3⋊C4—21no—
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407Dic3⋊C4—101no—
408C4×Dic3—21no—
409C4×Dic3—101no—
410C4×Dic3—101no—
411C4×Dic3—101no—
412C4×Dic3—101no—
413C4×Dic3—101no—
414#204—54no—
415#204—54no—
416#204—54no—
417#204C4×D514yescomplemented
418C23×C5—61no—
419C22×D5—61no—
420C22×D5—64no—
421C22×D5—241no—
422C22×D5—241no—
423C22×D5C2×D1211yescharacteristic
424C5×Q8—32no—
425C5×Q8—61no—
426C5×D4—32no—
427C5×D4—61no—
428C2×C4×C5—61no—
429C2×C4×C5—61no—
430C2×C4×C5—61no—
431C2×C4×C5—241no—
432C2×C4×C5C2×D1211yescharacteristic
433C2×C4×C5C2×D1211yescharacteristic
434C2×C4×C5C23×D311yescharacteristic
435C22⋊D5—64no—
436C2×Dic5—61no—
437C2×Dic5—61no—
438C2×Dic5—61no—
439C2×Dic5—241no—
440C2×Dic5C2×D1211yescharacteristic
441C2×Dic5C2×D1211yescharacteristic
442C2×Dic5C2×D1211yescharacteristic
443D20—32no—
444D20—61no—
445C4×D5—64no—
446C4×D5—241no—
447C4×D5—241no—
448C4×D5C2×C4×D312yes—
449C4×D5#23512yes—
450Dic10—32no—
451Dic10—61no—
452Dic10—64no—
453C5×C8—21no—
454C5×C8C2×C4×D312yes—
455#168—21no—
456#168C2×C4×D312yes—
457C22×Q8—151no—
458C22×D4—151no—
459C2×SD16—31no—
460C2×SD16—158no—
461C2×SD16—151no—
462C2×SD16—151no—
463C2×SD16—151no—
464C2×M16—51no—
465C22×C8—51no—
466C4×Q8—31no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×Q8—151no—
470C4×Q8—301no—
471C4×Q8—301no—
472C4×D4—31no—
473C4×D4—151no—
474C4×D4—151no—
475C4×D4—151no—
476C4×D4—301no—
477C4×D4—301no—
478#117—51no—
479#117—151no—
480#117—151no—
481#117—301no—
482#117—301no—
483C2×C22⋊C4—301no—
484C2×C22⋊C4—301no—
485#107—31no—
486#107—151no—
487#106—151no—
488#106—151no—
489#103—31no—
490#103—151no—
491#103—151no—
492#103—151no—
493#102—31no—
494#102—151no—
495#102—151no—
496#102—151no—
497#97—51no—
498#97D3×D511yescharacteristic, complemented
499C4×C8—51no—
500C4×C8—51no—
501C2×C3×C5C2×C4×D411yescharacteristic
502C2×C3×C5#57711yescharacteristic
503C2×C3×C5#57711yescharacteristic
504D15—42no—
505C3×D5—22no—
506C5×D3—42no—
507C23×C3—51no—
508C22×D3—21no—
509C22×D3—104no—
510C22×D3—101no—
511C22×D3—401no—
512C22×D3—401no—
513C2×C3×C4—51no—
514C2×C3×C4—52no—
515C2×C3×C4—52no—
516C2×C3×C4—51no—
517C2×C3×C4—51no—
518C2×C3×C4D4×D511yescharacteristic
519C2×C3×C4D4×D511yescharacteristic
520C2×C3×C4C23×D511yescharacteristic
521C2×Dic3—21no—
522C2×Dic3—21no—
523C2×Dic3—21no—
524C2×Dic3—104no—
525C2×Dic3—101no—
526C2×Dic3—101no—
527C2×Dic3—101no—
528D12—21no—
529D12—52no—
530D12—104no—
531D12—101no—
532D12C2×C4×D512yes—
533C4×D3—81no—
534C4×D3—401no—
535C4×D3—401no—
536C4×D3—401no—
537Dic6—21no—
538Dic6—52no—
539Dic6—104no—
540Dic6—101no—
541Dic6C2×C4×D512yes—
542C3×C8—21no—
543C3×C8—52no—
544C3×C8—101no—
545C3×C8C2×C4×D512yes—
546C22×C5—62no—
547C22×C5—121no—
548C22×C5—121no—
549C22×C5C22×D1211yescharacteristic
550C2×D5—21no—
551C2×D5—21no—
552C2×D5—62no—
553C2×D5—121no—
554C2×D5—121no—
555C2×D5—244no—
556C2×D5C4×D1212yes—
557C4×C5—21no—
558C4×C5—21no—
559C4×C5—62no—
560C4×C5—121no—
561C4×C5—121no—
562C4×C5C22×C4×D311yescharacteristic
563C4×C5C2×#23511yescharacteristic
564Dic5—21no—
565Dic5—21no—
566Dic5—62no—
567Dic5—121no—
568Dic5—121no—
569Dic5C4×D1212yes—
570C24—301no—
571C2×Q8—31no—
572C2×Q8—154no—
573C2×Q8—151no—
574C2×Q8—301no—
575C2×Q8—302no—
576C2×D4—31no—
577C2×D4—154no—
578C2×D4—151no—
579C2×D4—302no—
580C2×D4—301no—
581C22×C4—51no—
582C22×C4—61no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587SD16—34no—
588SD16—154no—
589SD16—154no—
590SD16—154no—
591M16—102no—
592C2×C8—51no—
593C2×C8—54no—
594C2×C8—51no—
595C2×C8C2×D3×D511yescharacteristic
596C2×C8C2×D3×D511yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—31no—
599C4⋊C4—51no—
600C4⋊C4—51no—
601C4⋊C4—61no—
602C4⋊C4—151no—
603C4⋊C4—151no—
604C4⋊C4—301no—
605C4⋊C4—301no—
606C4⋊C4—301no—
607C22⋊C4—51no—
608C22⋊C4—51no—
609C22⋊C4—61no—
610C22⋊C4—301no—
611C22⋊C4—301no—
612C22⋊C4—301no—
613C22⋊C4—301no—
614C22⋊C4—301no—
615C42—51no—
616C42—61no—
617C42—301no—
618C42—301no—
619C42—301no—
620C42—301no—
621C42—301no—
622C42C2×D3×D511yescharacteristic
623C3×C5#294911yescharacteristic, complemented, Hall
624C22×C3—52no—
625C22×C3—101no—
626C22×C3—101no—
627C22×C3C2×D4×D511yescharacteristic
628C2×D3—22no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—102no—
632C2×D3—201no—
633C2×D3—201no—
634C2×D3—404no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—52no—
638C3×C4—101no—
639C3×C4—101no—
640C3×C4C22×C4×D511yescharacteristic
641C3×C4D5×#4111yescharacteristic
642Dic3—22no—
643Dic3—41no—
644Dic3—41no—
645Dic3—102no—
646Dic3—201no—
647Dic3—201no—
648C2×C5—122no—
649C2×C5C2×C4×D1211yescharacteristic
650C2×C5#575111yescharacteristic
651C2×C5#575111yescharacteristic
652D5—22no—
653D5—122no—
654C23—51no—
655C23—61no—
656C23—304no—
657C23—301no—
658C23—1201no—
659C23—1201no—
660Q8—32no—
661Q8—61no—
662Q8—152no—
663Q8—304no—
664Q8—301no—
665D4—32no—
666D4—61no—
667D4—152no—
668D4—304no—
669D4—301no—
670C2×C4—51no—
671C2×C4—52no—
672C2×C4—52no—
673C2×C4—51no—
674C2×C4—51no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—241no—
679C2×C4—304no—
680C2×C4—301no—
681C2×C4—301no—
682C2×C4—301no—
683C2×C4—1201no—
684C2×C4—1201no—
685C2×C4—1201no—
686C2×C4D5×D1211yescharacteristic
687C2×C4D5×D1211yescharacteristic
688C2×C4C22×D3×D511yescharacteristic
689C8—21no—
690C8—52no—
691C8—101no—
692C8C4×D3×D512yes—
693C2×C3—102no—
694C2×C3C4×D4×D511yescharacteristic
695C2×C3#6610911yescharacteristic
696C2×C3#6611211yescharacteristic
697D3—42no—
698D3—202no—
699C5#7857211yescharacteristic, complemented, Sylow
700C22—52no—
701C22—62no—
702C22—101no—
703C22—101no—
704C22—121no—
705C22—121no—
706C22—302no—
707C22—601no—
708C22—601no—
709C22—1204no—
710C22C2×D5×D1211yescharacteristic
711C4—21no—
712C4—21no—
713C4—52no—
714C4—62no—
715C4—101no—
716C4—101no—
717C4—121no—
718C4—121no—
719C4—302no—
720C4—601no—
721C4—601no—
722C4C2×C4×D3×D511yescharacteristic
723C4D5×#23511yescharacteristic
724C3#1061150811yescharacteristic, complemented, Sylow
725C2—102no—
726C2—122no—
727C2—602no—
728C2C4×D5×D1211yescharacteristic
729C2#1175402311yescharacteristic
730C2#1175402511yescharacteristic
subgroupG/H
centerC22C2×D5×D12
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#97C22
socleC22×C3×C5C22×D4
prime radicalC2×D5×D12C22
cosocleC2×C3×C4×C5C24
hypercenter#97D3×D5
hypocenterC3×C5#2949
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ #97

Complements

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

NH ≅ G/Ntype
3. #11752516C2semidirect
4. #11750811C2semidirect
5. C5×#4710C2semidirect
6. C3×#64997C2semidirect
7. #11748122C2semidirect
9. #11747833C2semidirect
10. #11747778C2semidirect
11. #11747769C2semidirect
12. #11747744C2semidirect
13. #11747672C2semidirect
14. C4×#6660C2semidirect
15. C4×#6659C2semidirect
21. C4×Dic30C22semidirect
24. C4×C5×Dic6C22semidirect
38. #91333C22semidirect
39. Dic5×Dic6C22semidirect
44. D5×#204C4semidirect
45. C3×C5×#97C22semidirect
47. #91102C22semidirect
48. #91100C22semidirect
50. C5×#818C22semidirect
51. C5×#816C22semidirect
52. C3×#3947C22semidirect
53. C3×C8×Dic5C22semidirect
54. C3×C4×#168C22semidirect
55. #90985C22semidirect
56. #90985C22semidirect
57. #90975C22semidirect
58. #90973C22semidirect
76. #64997D3semidirect
93. D5×Dic6C2×C4semidirect
102. #6706C2×C4semidirect
108. C5×#204C2×C4semidirect
117. C3×C8×D5C2×C4semidirect
128. #6660C2×C4semidirect
129. #6659C2×C4semidirect
140. #4710D5semidirect
176. C5×#97C2×D3semidirect
182. #3947C2×D3semidirect
183. C8×Dic5C2×D3semidirect
188. C4×#168C2×D3semidirect
256. C4×Dic6C2×D5semidirect
258. C3×#97C2×D5semidirect
266. #818C2×D5semidirect
272. #816C2×D5semidirect
325. C8×D5C4×D3semidirect
417. #204C4×D5semidirect
498. #97D3×D5semidirect
623. C3×C5#2949semidirect
699. C5#78572semidirect
724. C3#10611508semidirect

Maximal subgroups

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

subgroupindex
C2×D5×#2042
#117527252
#117525162
#117508112
C5×#47102
C3×#649972
#117481222
#117481052
#117478332
#117477782
#117477692
#117477442
#117476722
C4×#66602
C4×#66592
#106115083
#785725