Finite Group Databasebeta

← #14417763

Subgroups — #14417763

Order 1920.

968 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#65908C211yesmaximal, characteristic, complemented
2C2×#91514C211yesmaximal, characteristic
3#11752669C211yesmaximal, characteristic, complemented
4#11751131C211yesmaximal, characteristic, complemented
5C4×C5×#215C211yesmaximal, characteristic, complemented
6#11749250C211yesmaximal, characteristic, complemented
7Dic5×#215C211yesmaximal, characteristic, complemented
8#11749198C211yesmaximal, characteristic, complemented
9#11747498C211yesmaximal, characteristic, complemented
10#11747468C211yesmaximal, characteristic, complemented
11D5×#808C211yesmaximal, characteristic, complemented
12#11747268C211yesmaximal, characteristic, complemented
13C4×#6657C211yesmaximal, characteristic, complemented
14#11747021C211yesmaximal, characteristic, complemented
15#11746974C211yesmaximal, characteristic, complemented
16#10611381—31nomaximal, Hall
17C2×C3×#713C2211yescharacteristic
18C2×#6772C2211yescharacteristic
19C3×C4×C5×Q8C2211yescharacteristic
20C2×#6718C2211yescharacteristic
21C4×Dic30C2211yescharacteristic
22C2×C5×#215C2211yescharacteristic
23C4×C5×D12C2211yescharacteristic
24C3×Q8×Dic5C2211yescharacteristic
25C3×#4039—21no—
26C3×#4039C2211yescharacteristic
27C3×D5×C4⋊C4—21no—
28C3×D5×C4⋊C4C2211yescharacteristic
29C3×C4×D20—21no—
30C3×C4×D20C2211yescharacteristic
31C3×#4018—21no—
32C3×#4018C2211yescharacteristic
33#91514C418yescomplemented
34#91442—21no—
35#91441—21no—
36Dic5×D12C2211yescharacteristic
37D5×C4⋊Dic3C2211yescharacteristic
38#91400—21no—
39D3×#683—21no—
40#91333C2211yescharacteristic
41C2×#6657C2211yescharacteristic
42C2×#6652C2211yescharacteristic
43C2×#6649C2211yescharacteristic
44C2×D5×C3⋊C8C2211yescharacteristic
45#91119C2211yescharacteristic
46#91094C2211yescharacteristic
47#91092C2211yescharacteristic
48#91087C2211yescharacteristic
49C5×#835C2211yescharacteristic
50C5×#809C2211yescharacteristic
51C5×#808C2211yescharacteristic
52C4×C5×C3⋊C8C2211yescharacteristic
53#90987C2211yescharacteristic
54#90986C2211yescharacteristic
55#90974C2211yescharacteristic
56#90966C2211yescharacteristic
57#90965C2211yescharacteristic
58#90964C2211yescharacteristic
59#90952C2211yescharacteristic
60Dic5×C3⋊C8C2211yescharacteristic
61#82558—51nomaximal, Hall
62C2×#4062—31no—
63#65908D311yescharacteristic, complemented
64#65880—31no—
65C4×C5×SD16—31no—
66SD16×Dic5—31no—
67#65319—31no—
68#65303—31no—
69D5×#106—31no—
70#65141—31no—
71#65092—31no—
72#65078—31no—
73#65074—31no—
74#65060—31no—
75C4×#677—31no—
76#64978—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×Dic30C2311yescharacteristic
79C2×C5×D12C2311yescharacteristic
80C2×C4×C5×D3—21no—
81C3×#713—22no—
82C3×#713C2×C414yescomplemented
83C2×C3×D20—21no—
84C2×C3×D20C2311yescharacteristic
85C2×C3×C4×D5—21no—
86C2×C3×C4×D5—21no—
87C2×C3×C4×D5—21no—
88C2×C3×C4×D5—21no—
89C2×C3×C4×D5C2311yescharacteristic
90C2×#1201—21no—
91C2×D3×Dic5—21no—
92C2×D3×Dic5—21no—
93C2×D5×Dic3—21no—
94#6772—22no—
95#6772C2×C414yescomplemented
96C3×C5×C4⋊C4—21no—
97C3×C5×C4⋊C4C2311yescharacteristic
98C3×C42×C5—21no—
99C3×C42×C5C2311yescharacteristic
100#6718C2×C414yescomplemented
101C4⋊Dic15C2311yescharacteristic
102#6712—21no—
103C4×Dic15—21no—
104C2×C3⋊#168C2311yescharacteristic
105C2×C3⋊#168C2311yescharacteristic
106C5×#215C2×C414yescomplemented
107C5×(C2×D3)⋊C4—21no—
108C5×C4⋊Dic3C2311yescharacteristic
109C2×C5×C3⋊C8C2311yescharacteristic
110C2×C5×C3⋊C8C2311yescharacteristic
111C3×#685—21no—
112C3×#685—21no—
113C3×#685D411yescharacteristic
114C3×#685D411yescharacteristic
115C3×C4⋊Dic5—21no—
116C3×C4⋊Dic5C2311yescharacteristic
117C3×#683—21no—
118C3×#683D411yescharacteristic
119C3×#683D411yescharacteristic
120C3×C4×Dic5—21no—
121C3×C4×Dic5C2311yescharacteristic
122#6669—21no—
123#6668—21no—
124(C2×D3)⋊Dic5—21no—
125Dic3×Dic5—21no—
126#6657C2×C414yescomplemented
127#6652C2×C414yescomplemented
128#6649—22no—
129D5×C3⋊C8C2×C414yescomplemented
130C3×#520—51no—
131C2×#950—51no—
132#5523—51no—
133#5232—51no—
134#5030—51no—
135#5030—51no—
136C4×#215—51no—
137C4×#215D511yescharacteristic, complemented
138C4×#214—51no—
139C4×#214—51no—
140#5014—51no—
141#5014—51no—
142#4997—51no—
143#4966—51no—
144C2×#808—51no—
145C2×#713C2×D311yescharacteristic
146C2×#711—31no—
147C2×C5×SD16—31no—
148C4×C5×Q8C2×D311yescharacteristic
149C4×C5×D4—31no—
150Q8×Dic5C2×D311yescharacteristic
151C2×#689—31no—
152D4×Dic5—31no—
153C2×#686—31no—
154C4×C22⋊D5—61no—
155C2×#683—61no—
156#4062—38no—
157C2×#677—31no—
158C2×#676—31no—
159C2×C8×D5—31no—
160#4039—21no—
161#4039C2×D311yescharacteristic
162D5×C4⋊C4—21no—
163D5×C4⋊C4—31no—
164D5×C4⋊C4C2×D311yescharacteristic
165#4033—31no—
166#4027—61no—
167#4023—61no—
168C4×D20—21no—
169C4×D20C2×D311yescharacteristic
170#4018—21no—
171#4018C2×D311yescharacteristic
172C4×Dic10—31no—
173C5×#106—31no—
174C5×#103—31no—
175C5×#102—31no—
176C4×C5×C8—31no—
177#3967—31no—
178#3964—31no—
179#3953—31no—
180#3949—31no—
181#3948—31no—
182#3947—31no—
183C8×Dic5—31no—
184#3942—31no—
185#3941—31no—
186#3940—31no—
187#3940—31no—
188#3935—31no—
189#2952—151noSylow
190C22×C5×D3—21no—
191C22×C3×D5—21no—
192C22×C3×D5C2×D411yescharacteristic
193C3×C5×Q8—21no—
194C3×C5×Q8C22×C412yes—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2×D411yescharacteristic
199C2×C3×C4×C5C2411yescharacteristic
200C2×Dic15—21no—
201C2×Dic15—21no—
202Dic30—21no—
203Dic30C22×C412yes—
204C2×C5×Dic3—21no—
205C5×D12—21no—
206C5×D12C22×C412yes—
207C4×C5×D3—81no—
208C2×C3×Dic5—21no—
209C2×C3×Dic5C2×D411yescharacteristic
210C2×C3×Dic5C2×D411yescharacteristic
211C2×C3×Dic5C2×D411yescharacteristic
212C3×D20—24no—
213C3×D20—21no—
214C3×D20C22×C412yes—
215C3×C4×D5—24no—
216C3×C4×D5—81no—
217C3×C4×D5—81no—
218C3×C4×D5—81no—
219C3×C4×D5C22×C412yes—
220C3×C4×D5#4112yes—
221#1201—24no—
222D3×Dic5—24no—
223D3×Dic5—81no—
224D5×Dic3—81no—
225C3⋊#168—21no—
226C3⋊#168C22×C412yes—
227C5×C3⋊C8—21no—
228C5×C3⋊C8C22×C412yes—
229C2×C3×#41—51no—
230C2×#235—51no—
231C3×C4×Q8—51no—
232C3×C4×Q8C2×D511yescharacteristic
233C3×C4×D4—51no—
234C3×C4×D4—51no—
235C3×C4×D4—101no—
236C3×C4×D4—101no—
237C3×#117—51no—
238C3×#117—101no—
239C2×C3×C4⋊C4—51no—
240C2×C3×C4⋊C4—101no—
241#950—58no—
242C2×#216—51no—
243C2×#215C2×D511yescharacteristic
244C2×#214—51no—
245C2×#213—51no—
246C2×C4⋊Dic3—51no—
247C2×#208—51no—
248C22×C3⋊C8—51no—
249#892—101no—
250D3×C4⋊C4—101no—
251#67⋊C4—101no—
252#67⋊C4—101no—
253C4×D12—51no—
254C4×D12C2×D511yescharacteristic
255C4×Dic6—51no—
256C4×Dic6—51no—
257#835—51no—
258#835C2×D511yescharacteristic
259#832—51no—
260#832—51no—
261#810—51no—
262#810—51no—
263#809—51no—
264#809C2×D511yescharacteristic
265#808—51no—
266#808—51no—
267#808—51no—
268#808C2×D511yescharacteristic
269#803—51no—
270#803—51no—
271C4×C3⋊C8—51no—
272C4×C3⋊C8C2×D511yescharacteristic
273C2×C5×Q8C22×D311yescharacteristic
274C2×C5×D4—31no—
275C22×C4×C5—61no—
276C2×C22⋊D5—61no—
277C22×Dic5—61no—
278C22×Dic5—61no—
279#713—22no—
280#713C4×D314yescomplemented
281#711—34no—
282#711—62no—
283C2×D20—21no—
284C2×D20C22×D311yescharacteristic
285C2×C4×D5—21no—
286C2×C4×D5—21no—
287C2×C4×D5—21no—
288C2×C4×D5—21no—
289C2×C4×D5—61no—
290C2×C4×D5C22×D311yescharacteristic
291C2×Dic10—31no—
292C5×SD16—34no—
293C2×C5×C8—31no—
294C2×C5×C8—31no—
295C5×C4⋊C4—21no—
296C5×C4⋊C4—31no—
297C5×C4⋊C4C22×D311yescharacteristic
298C5×C22⋊C4—61no—
299C42×C5—21no—
300C42×C5C22×D311yescharacteristic
301C22⋊Dic5—61no—
302#689—34no—
303#686—34no—
304#685—21no—
305#685—21no—
306#685#6711yescharacteristic
307#685#6711yescharacteristic
308C4⋊Dic5—21no—
309C4⋊Dic5—31no—
310C4⋊Dic5C22×D311yescharacteristic
311#683—21no—
312#683—61no—
313#683—61no—
314#683—61no—
315#683#6711yescharacteristic
316#683#6711yescharacteristic
317C4×Dic5—21no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5C22×D311yescharacteristic
321C2×#168—31no—
322C2×#168—31no—
323#677—34no—
324#676—62no—
325C8×D5—34no—
326C2×#135—151no—
327#520—51no—
328#520—151no—
329#442—151no—
330#442—151no—
331#441—151no—
332#441—151no—
333C4×SD16—31no—
334C4×SD16—151no—
335C4×SD16—151no—
336C4×SD16—151no—
337C2×#106—151no—
338#417—151no—
339#417—151no—
340#405—151no—
341C22×C3×C5C22×D411yescharacteristic
342C2×C5×D3—22no—
343C2×C5×D3—41no—
344C2×C5×D3—41no—
345C2×C3×D5—21no—
346C2×C3×D5—21no—
347C2×C3×D5—22no—
348C2×C3×D5—41no—
349C2×C3×D5—41no—
350C2×C3×D5C4×D412yes—
351C3×C4×C5—22no—
352C3×C4×C5—21no—
353C3×C4×C5—21no—
354C3×C4×C5—41no—
355C3×C4×C5C23×C411yescharacteristic
356C3×C4×C5C2×#4111yescharacteristic
357Dic15—22no—
358Dic15—41no—
359C3×Dic5—21no—
360C3×Dic5—21no—
361C3×Dic5—41no—
362C3×Dic5C4×D412yes—
363C5×Dic3—41no—
364C3×#41—54no—
365C3×#41—102no—
366C2×C3×Q8C22×D511yescharacteristic
367C2×C3×D4—51no—
368C2×C3×D4—101no—
369C22×C3×C4—51no—
370C22×C3×C4—101no—
371C22×C3×C4—101no—
372C22×C3×C4—101no—
373C22×C3×C4—101no—
374C2×#67—101no—
375C22×Dic3—101no—
376#235—54no—
377#235—102no—
378C2×D12C22×D511yescharacteristic
379C2×C4×D3—21no—
380C2×C4×D3—101no—
381C2×C4×D3—101no—
382C2×Dic6—51no—
383C3×C4⋊C4—21no—
384C3×C4⋊C4—51no—
385C3×C4⋊C4—51no—
386C3×C4⋊C4—51no—
387C3×C4⋊C4—101no—
388C3×C4⋊C4—101no—
389C3×C4⋊C4C22×D511yescharacteristic
390C3×C22⋊C4—51no—
391C3×C22⋊C4—51no—
392C3×C22⋊C4—101no—
393C3×C22⋊C4—101no—
394C3×C42—21no—
395C3×C42—51no—
396C3×C42—101no—
397C3×C42C22×D511yescharacteristic
398#216—54no—
399#215C4×D514yescomplemented
400#214—54no—
401#213—54no—
402(C2×D3)⋊C4—21no—
403(C2×D3)⋊C4—101no—
404C4⋊Dic3—51no—
405C4⋊Dic3—101no—
406C4⋊Dic3C22×D511yescharacteristic
407Dic3⋊C4—101no—
408Dic3⋊C4—101no—
409C4×Dic3—101no—
410C4×Dic3—101no—
411#208—102no—
412C2×C3⋊C8—51no—
413C2×C3⋊C8—54no—
414C2×C3⋊C8—51no—
415C2×C3⋊C8C22×D511yescharacteristic
416C2×C3⋊C8C22×D511yescharacteristic
417C23×C5—61no—
418C22×D5—21no—
419C22×D5C2×#6711yescharacteristic
420C5×Q8—21no—
421C5×Q8C2×C4×D312yes—
422C5×D4—32no—
423C5×D4—61no—
424C2×C4×C5—21no—
425C2×C4×C5—21no—
426C2×C4×C5—61no—
427C2×C4×C5—241no—
428C2×C4×C5C2×#6711yescharacteristic
429C2×C4×C5C2×#6711yescharacteristic
430C2×C4×C5C23×D311yescharacteristic
431C22⋊D5—64no—
432C2×Dic5—21no—
433C2×Dic5—61no—
434C2×Dic5—64no—
435C2×Dic5—61no—
436C2×Dic5—241no—
437C2×Dic5C2×#6711yescharacteristic
438C2×Dic5C2×#6711yescharacteristic
439C2×Dic5C2×#6711yescharacteristic
440D20—24no—
441D20—21no—
442D20C2×C4×D312yes—
443C4×D5—24no—
444C4×D5—81no—
445C4×D5—81no—
446C4×D5—81no—
447C4×D5—241no—
448C4×D5C2×C4×D312yes—
449C4×D5#23512yes—
450Dic10—32no—
451Dic10—61no—
452C5×C8—32no—
453C5×C8—61no—
454#168—32no—
455#168—61no—
456C2×#41—51no—
457C2×#41—151no—
458#135—158no—
459C2×Q16—151no—
460C2×SD16—31no—
461C2×SD16—151no—
462C2×D8—151no—
463C2×M16—151no—
464C22×C8—151no—
465C4×Q8—51no—
466C4×Q8—151no—
467C4×Q8—151no—
468C4×Q8D3×D511yescharacteristic
469C4×D4—31no—
470C4×D4—51no—
471C4×D4—51no—
472C4×D4—101no—
473C4×D4—101no—
474C4×D4—151no—
475C4×D4—301no—
476C4×D4—301no—
477#117—51no—
478#117—101no—
479#117—301no—
480C2×C4⋊C4—51no—
481C2×C4⋊C4—101no—
482C2×C4⋊C4—151no—
483C2×C4⋊C4—301no—
484#106—31no—
485#106—151no—
486#106—151no—
487#106—151no—
488#103—31no—
489#103—151no—
490#103—151no—
491#103—151no—
492#102—31no—
493#102—151no—
494#102—151no—
495#102—151no—
496#97—151no—
497#97—151no—
498C4×C8—31no—
499C4×C8—151no—
500C2×C3×C5C2×C4×D411yescharacteristic
501C2×C3×C5#57711yescharacteristic
502C2×C3×C5#57711yescharacteristic
503C3×D5—22no—
504C3×D5—42no—
505C5×D3—42no—
506C23×C3—51no—
507C23×C3—101no—
508C22×D3—21no—
509C3×Q8—21no—
510C3×Q8C2×C4×D512yes—
511C3×D4—52no—
512C3×D4—104no—
513C3×D4—101no—
514C2×C3×C4—21no—
515C2×C3×C4—21no—
516C2×C3×C4—51no—
517C2×C3×C4—52no—
518C2×C3×C4—52no—
519C2×C3×C4—51no—
520C2×C3×C4—51no—
521C2×C3×C4—104no—
522C2×C3×C4—101no—
523C2×C3×C4—401no—
524C2×C3×C4—401no—
525C2×C3×C4—401no—
526C2×C3×C4D4×D511yescharacteristic
527C2×C3×C4D4×D511yescharacteristic
528C2×C3×C4C23×D511yescharacteristic
529#67—104no—
530C2×Dic3—21no—
531C2×Dic3—101no—
532C2×Dic3—101no—
533C2×Dic3—401no—
534D12—21no—
535D12C2×C4×D512yes—
536C4×D3—81no—
537C4×D3—104no—
538C4×D3—401no—
539Dic6—52no—
540Dic6—101no—
541C3⋊C8—21no—
542C3⋊C8—52no—
543C3⋊C8—101no—
544C3⋊C8C2×C4×D512yes—
545C22×C5—62no—
546C22×C5—121no—
547C22×C5—121no—
548C22×C5C22×#6711yescharacteristic
549C2×D5—21no—
550C2×D5—21no—
551C2×D5—22no—
552C2×D5—41no—
553C2×D5—41no—
554C2×D5C4×#6712yes—
555C4×C5—22no—
556C4×C5—21no—
557C4×C5—21no—
558C4×C5—41no—
559C4×C5—121no—
560C4×C5C22×C4×D311yescharacteristic
561C4×C5C2×#23511yescharacteristic
562Dic5—21no—
563Dic5—21no—
564Dic5—41no—
565Dic5—62no—
566Dic5—121no—
567Dic5C4×#6712yes—
568#41—54no—
569#41—102no—
570#41—154no—
571#41—302no—
572C2×Q8—151no—
573C2×Q8C2×D3×D511yescharacteristic
574C2×D4—31no—
575C2×D4—51no—
576C2×D4—101no—
577C2×D4—301no—
578C22×C4—51no—
579C22×C4—61no—
580C22×C4—101no—
581C22×C4—101no—
582C22×C4—101no—
583C22×C4—101no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—154no—
588SD16—34no—
589SD16—154no—
590D8—154no—
591M16—302no—
592C2×C8—31no—
593C2×C8—31no—
594C2×C8—154no—
595C2×C8—151no—
596C2×C8—151no—
597C4⋊C4—21no—
598C4⋊C4—31no—
599C4⋊C4—51no—
600C4⋊C4—51no—
601C4⋊C4—51no—
602C4⋊C4—101no—
603C4⋊C4—101no—
604C4⋊C4—151no—
605C4⋊C4—301no—
606C4⋊C4—301no—
607C4⋊C4—301no—
608C4⋊C4C2×D3×D511yescharacteristic
609C22⋊C4—51no—
610C22⋊C4—51no—
611C22⋊C4—61no—
612C22⋊C4—101no—
613C22⋊C4—101no—
614C22⋊C4—301no—
615C42—21no—
616C42—51no—
617C42—101no—
618C42—301no—
619C42—301no—
620C42C2×D3×D511yescharacteristic
621C3×C5#295211yescharacteristic, complemented, Hall
622C22×C3—52no—
623C22×C3—101no—
624C22×C3—101no—
625C22×C3—102no—
626C22×C3—201no—
627C22×C3—201no—
628C22×C3C2×D4×D511yescharacteristic
629C2×D3—22no—
630C2×D3—41no—
631C2×D3—41no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—22no—
635C3×C4—41no—
636C3×C4—52no—
637C3×C4—101no—
638C3×C4—101no—
639C3×C4—201no—
640C3×C4C22×C4×D511yescharacteristic
641C3×C4D5×#4111yescharacteristic
642Dic3—41no—
643Dic3—102no—
644Dic3—201no—
645C2×C5—122no—
646C2×C5C2×C4×#6711yescharacteristic
647C2×C5#583611yescharacteristic
648C2×C5#583711yescharacteristic
649D5—22no—
650D5—42no—
651C23—51no—
652C23—61no—
653C23—101no—
654Q8—21no—
655Q8—152no—
656Q8—301no—
657Q8C4×D3×D512yes—
658D4—32no—
659D4—52no—
660D4—61no—
661D4—104no—
662D4—101no—
663D4—304no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—51no—
667C2×C4—52no—
668C2×C4—52no—
669C2×C4—51no—
670C2×C4—51no—
671C2×C4—61no—
672C2×C4—104no—
673C2×C4—101no—
674C2×C4—241no—
675C2×C4—304no—
676C2×C4—301no—
677C2×C4—301no—
678C2×C4—401no—
679C2×C4—401no—
680C2×C4—401no—
681C2×C4—1201no—
682C2×C4—1201no—
683C2×C4D5×#6711yescharacteristic
684C2×C4D5×#6711yescharacteristic
685C2×C4C22×D3×D511yescharacteristic
686C8—32no—
687C8—61no—
688C8—152no—
689C8—301no—
690C2×C3—102no—
691C2×C3—202no—
692C2×C3C4×D4×D511yescharacteristic
693C2×C3#6609611yescharacteristic
694C2×C3#6610411yescharacteristic
695D3—42no—
696C5#8255811yescharacteristic, complemented, Sylow
697C22—52no—
698C22—62no—
699C22—101no—
700C22—101no—
701C22—102no—
702C22—121no—
703C22—121no—
704C22—201no—
705C22—201no—
706C22C2×D5×#6711yescharacteristic
707C4—21no—
708C4—21no—
709C4—22no—
710C4—41no—
711C4—52no—
712C4—101no—
713C4—101no—
714C4—121no—
715C4—201no—
716C4—302no—
717C4—601no—
718C4C2×C4×D3×D511yescharacteristic
719C4D5×#23511yescharacteristic
720C3#1061138111yescharacteristic, complemented, Sylow
721C2—102no—
722C2—122no—
723C2—202no—
724C2C4×D5×#6711yescharacteristic
725C2#1175508511yescharacteristic
726C2#1175533711yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×Q8C22
socleC22×C3×C5C22×D4
prime radicalC2×#91514C2
cosocleC2×C3×C4×C5C24
hypercenterC4×Q8D3×D5
hypocenterC3×C5#2952
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. C3×#65908C2semidirect
3. #11752669C2semidirect
4. #11751131C2semidirect
5. C4×C5×#215C2semidirect
6. #11749250C2semidirect
7. Dic5×#215C2semidirect
8. #11749198C2semidirect
9. #11747498C2semidirect
10. #11747468C2semidirect
11. D5×#808C2semidirect
12. #11747268C2semidirect
13. C4×#6657C2semidirect
14. #11747021C2semidirect
15. #11746974C2semidirect
33. #91514C4semidirect
63. #65908D3semidirect
82. C3×#713C2×C4semidirect
95. #6772C2×C4semidirect
100. #6718C2×C4semidirect
106. C5×#215C2×C4semidirect
126. #6657C2×C4semidirect
127. #6652C2×C4semidirect
129. D5×C3⋊C8C2×C4semidirect
137. C4×#215D5semidirect
280. #713C4×D3semidirect
399. #215C4×D5semidirect
621. C3×C5#2952semidirect
696. C5#82558semidirect
720. C3#10611381semidirect

Maximal subgroups

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

subgroupindex
C3×#659082
C2×#915142
#117526692
#117511312
C4×C5×#2152
#117492502
Dic5×#2152
#117491982
#117474982
#117474682
D5×#8082
#117472682
C4×#66572
#117470212
#117469742
#106113813
#825585