Finite Group Databasebeta

← #14417208

Subgroups — #14417208

Order 1920.

940 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#918C211yesmaximal, characteristic
2#11755220C211yesmaximal, characteristic
3#11755144C211yesmaximal, characteristic, complemented
4Q16×Dic15C211yesmaximal, characteristic, complemented
5C3×#65473C211yesmaximal, characteristic, complemented
6#11749266C211yesmaximal, characteristic, complemented
7Dic5×#216C211yesmaximal, characteristic, complemented
8#11749242C211yesmaximal, characteristic, complemented
9Dic5×#215C211yesmaximal, characteristic, complemented
10#11749211C211yesmaximal, characteristic
11D3×#3967C211yesmaximal, characteristic, complemented
12#11748055C211yesmaximal, characteristic, complemented
13#11747807C211yesmaximal, characteristic, complemented
14#11747769C211yesmaximal, characteristic, complemented
15#11747628C211yesmaximal, characteristic, complemented
16#10615696—31nomaximal, Hall
17C2×C5×#239C2211yescharacteristic
18C2×C5×D3×Q8C2211yescharacteristic
19C2×C3×C5×Q16C2211yescharacteristic
20Q8×Dic15C2211yescharacteristic
21Q8×Dic15C2211yescharacteristic
22C2×C5×#216C2211yescharacteristic
23C2×C5×#215C2211yescharacteristic
24C5×#918C418yescomplemented
25C2×C5×#204C2211yescharacteristic
26C2×C5×ΓL(1,𝔽25)C2211yescharacteristic
27C3×Q8×Dic5C2211yescharacteristic
28C3×Q8×Dic5C2211yescharacteristic
29#91435—21no—
30#91435C2211yescharacteristic
31D3×C4⋊Dic5—21no—
32D3×C4⋊Dic5C2211yescharacteristic
33Dic5×D12—21no—
34Dic5×D12C2211yescharacteristic
35#91371—21no—
36#91371—21no—
37#91371C2211yescharacteristic
38#91344—21no—
39#91344C2211yescharacteristic
40#91338—21no—
41#91338C2211yescharacteristic
42Dic5×Dic6—21no—
43Dic5×Dic6C2211yescharacteristic
44C2×D3×#168C2211yescharacteristic
45#91119C2211yescharacteristic
46#91119C2211yescharacteristic
47#91102C2211yescharacteristic
48C8×Dic15C2211yescharacteristic
49C3×#3967C2211yescharacteristic
50C3×#3967C2211yescharacteristic
51C3×#3949C2211yescharacteristic
52C3×#3947C2211yescharacteristic
53#90990C2211yescharacteristic
54#90987C2211yescharacteristic
55#90973C2211yescharacteristic
56#90972C2211yescharacteristic
57#90967C2211yescharacteristic
58#90966C2211yescharacteristic
59#90954C2211yescharacteristic
60Dic5×C3⋊C8C2211yescharacteristic
61#79830—51nomaximal, Hall
62C2×C5×#137—31no—
63#66161—31no—
64#66146—31no—
65#65522—31no—
66C2×#3967—31no—
67#65473—31no—
68#65473D311yescharacteristic, complemented
69Q16×Dic5—31no—
70Q16×Dic5—31no—
71#65453—31no—
72#65453—31no—
73SD16×Dic5—31no—
74SD16×Dic5—31no—
75#65411—31no—
76#65410—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×C3×C5×Q8C2311yescharacteristic
79C5×#239—22no—
80C5×#239C2×C414yes—
81C5×D3×Q8—22no—
82C5×D3×Q8C2×C414yescomplemented
83C2×C5×D12—21no—
84C2×C5×D12C2311yescharacteristic
85C2×C4×C5×D3—21no—
86C2×C4×C5×D3—21no—
87C2×C4×C5×D3C2311yescharacteristic
88C2×C5×Dic6—21no—
89C2×C5×Dic6C2311yescharacteristic
90C2×D3×Dic5—21no—
91C2×D3×Dic5—21no—
92C2×D3×Dic5—21no—
93C3×C5×Q16C2×C414yescomplemented
94C2×C3×C5×C8C2311yescharacteristic
95C4⋊Dic15—21no—
96C4⋊Dic15—21no—
97C4⋊Dic15C2311yescharacteristic
98C4⋊Dic15C2311yescharacteristic
99C4×Dic15—21no—
100C4×Dic15—21no—
101C4×Dic15C2311yescharacteristic
102C2×C3⋊#168C2311yescharacteristic
103C5×#216C2×C414yescomplemented
104C5×#215C2×C414yescomplemented
105C2×C5×C3⋊C8C2311yescharacteristic
106C5×#204C2×C414yescomplemented
107C5×ΓL(1,𝔽25)C2×C414yescomplemented
108C3×C4⋊Dic5—21no—
109C3×C4⋊Dic5—21no—
110C3×C4⋊Dic5C2311yescharacteristic
111C3×C4⋊Dic5C2311yescharacteristic
112C3×C4×Dic5—21no—
113C3×C4×Dic5—21no—
114C3×C4×Dic5C2311yescharacteristic
115C2×C3×#168C2311yescharacteristic
116Dic3⋊Dic5—21no—
117Dic3⋊Dic5—21no—
118Dic3⋊Dic5—21no—
119Dic3⋊Dic5D411yescharacteristic
120Dic3⋊Dic5D411yescharacteristic
121(C2×D3)⋊Dic5—21no—
122(C2×D3)⋊Dic5—21no—
123(C2×D3)⋊Dic5—21no—
124(C2×D3)⋊Dic5D411yescharacteristic
125(C2×D3)⋊Dic5D411yescharacteristic
126Dic3×Dic5—21no—
127Dic3×Dic5—21no—
128Dic3×Dic5—21no—
129D3×#168—22no—
130C2×#918D511yescharacteristic
131#5574—51no—
132#5572—51no—
133C3×#441—51no—
134Dic3×Q16—51no—
135C4×#216—51no—
136C4×#215—51no—
137#4861—51no—
138#4852—51no—
139#4817—51no—
140#4804—51no—
141D3×#103—51no—
142#4789—51no—
143#4710—51no—
144#4708—51no—
145C2×C5×#41—31no—
146C22×C5×Q8—31no—
147C5×#137—38no—
148C2×C5×Q16—31no—
149C2×C5×Q16C2×D311yescharacteristic
150C2×C5×SD16—31no—
151C2×C5×SD16—31no—
152C2×C5×M16—31no—
153Q8×Dic5—31no—
154Q8×Dic5—31no—
155Q8×Dic5—31no—
156Q8×Dic5—31no—
157Q8×Dic5—61no—
158Q8×Dic5—61no—
159Q8×Dic5C2×D311yescharacteristic
160Q8×Dic5C2×D311yescharacteristic
161D4×Dic5—31no—
162D4×Dic5—31no—
163D4×Dic5—61no—
164D4×Dic5—61no—
165#4072—31no—
166#4072—31no—
167#4072—61no—
168#4072—61no—
169#4072—61no—
170C2×C4⋊Dic5—31no—
171C2×C4⋊Dic5—61no—
172C22×#168—31no—
173#3967—31no—
174#3967—31no—
175#3967—31no—
176#3967—31no—
177#3967C2×D311yescharacteristic
178#3967C2×D311yescharacteristic
179#3964—31no—
180#3964—31no—
181#3950—31no—
182#3950—31no—
183#3949—31no—
184#3949C2×D311yescharacteristic
185#3947—31no—
186#3947C2×D311yescharacteristic
187C8×Dic5—31no—
188C8×Dic5—31no—
189#2947—151noSylow
190C22×C5×D3—21no—
191C22×C5×D3C2×D411yescharacteristic
192C3×C5×Q8—21no—
193C3×C5×Q8—21no—
194C3×C5×Q8C22×C412yes—
195C3×C5×Q8C22×C412yes—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5C2411yescharacteristic
199C2×Dic15—21no—
200C2×Dic15—21no—
201C2×Dic15C2×D411yescharacteristic
202C2×Dic15C2×D411yescharacteristic
203C2×C5×Dic3—21no—
204C2×C5×Dic3C2×D411yescharacteristic
205C5×D12—24no—
206C5×D12—21no—
207C5×D12C22×C412yes—
208C4×C5×D3—24no—
209C4×C5×D3—24no—
210C4×C5×D3C22×C412yes—
211C4×C5×D3#4112yes—
212C5×Dic6—21no—
213C5×Dic6—24no—
214C5×Dic6C22×C412yes—
215C2×C3×Dic5—21no—
216C2×C3×Dic5—21no—
217C2×C3×Dic5C2×D411yescharacteristic
218C2×C3×Dic5C2×D411yescharacteristic
219D3×Dic5—81no—
220D3×Dic5—81no—
221D3×Dic5—81no—
222C3×C5×C8C22×C412yes—
223C3⋊#168—21no—
224C3×#168—21no—
225C5×C3⋊C8C22×C412yes—
226C2×#239C2×D511yescharacteristic
227C2×D3×Q8C2×D511yescharacteristic
228C2×C3×Q16C2×D511yescharacteristic
229C3×C4×Q8—51no—
230C3×C4×Q8—51no—
231Q8×Dic3—51no—
232Q8×Dic3—51no—
233C2×#216C2×D511yescharacteristic
234C2×#215C2×D511yescharacteristic
235#918Dic518yescomplemented
236C2×#204C2×D511yescharacteristic
237C2×ΓL(1,𝔽25)C2×D511yescharacteristic
238C2×D3×C8—51no—
239#893—51no—
240#893—101no—
241#892—51no—
242#892—101no—
243D3×C4⋊C4—51no—
244D3×C4⋊C4—101no—
245#887—51no—
246#887—101no—
247C4×D12—51no—
248C4×D12—101no—
249#872—51no—
250#872—101no—
251#872—101no—
252C4×Dic6—51no—
253C4×Dic6—101no—
254C3×#106—51no—
255C3×#103—51no—
256C3×#103—51no—
257C3×#97—51no—
258#835—51no—
259#835—51no—
260#821—51no—
261#818—51no—
262#816—51no—
263#815—51no—
264C8×Dic3—51no—
265#810—51no—
266#809—51no—
267#808—51no—
268#807—51no—
269C4×C3⋊C8—51no—
270C5×#41—34no—
271C5×#41—62no—
272C2×C5×Q8—34no—
273C2×C5×Q8—31no—
274C2×C5×Q8—61no—
275C2×C5×Q8—62no—
276C2×C5×Q8C22×D311yescharacteristic
277C2×C5×Q8C22×D311yescharacteristic
278C2×C5×D4—31no—
279C2×C5×D4—61no—
280C22×C4×C5—31no—
281C22×C4×C5—61no—
282C22×C4×C5—61no—
283C22×Dic5—61no—
284C22×Dic5—61no—
285C22×Dic5—61no—
286C5×Q16—34no—
287C5×Q16C4×D314yescomplemented
288C5×SD16—34no—
289C5×SD16—34no—
290C5×M16—34no—
291C2×C5×C8—31no—
292C2×C5×C8C22×D311yescharacteristic
293C22⋊Dic5—31no—
294C22⋊Dic5—31no—
295C22⋊Dic5—61no—
296C22⋊Dic5—61no—
297C22⋊Dic5—61no—
298C4⋊Dic5—21no—
299C4⋊Dic5—21no—
300C4⋊Dic5—31no—
301C4⋊Dic5—31no—
302C4⋊Dic5—31no—
303C4⋊Dic5—31no—
304C4⋊Dic5—61no—
305C4⋊Dic5—61no—
306C4⋊Dic5—61no—
307C4⋊Dic5—61no—
308C4⋊Dic5—61no—
309C4⋊Dic5C22×D311yescharacteristic
310C4⋊Dic5C22×D311yescharacteristic
311C4×Dic5—21no—
312C4×Dic5—21no—
313C4×Dic5—31no—
314C4×Dic5—61no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5C22×D311yescharacteristic
320C2×#168—31no—
321C2×#168—62no—
322C2×#168C22×D311yescharacteristic
323C2×#137—31no—
324#520—151no—
325#519—151no—
326#441—51no—
327#441—151no—
328#440—151no—
329#440—151no—
330C4×Q16—151no—
331C4×Q16—151no—
332C4×SD16—151no—
333C4×SD16—151no—
334#428—151no—
335#416—151no—
336C2×#103—151no—
337#405—151no—
338C22×C3×C5C22×D411yescharacteristic
339C2×C5×D3—21no—
340C2×C5×D3—21no—
341C2×C5×D3—22no—
342C2×C5×D3—41no—
343C2×C5×D3—41no—
344C2×C5×D3C4×D412yes—
345C3×C4×C5—22no—
346C3×C4×C5—22no—
347C3×C4×C5C23×C411yescharacteristic
348C3×C4×C5C2×#4111yescharacteristic
349Dic15—21no—
350Dic15—21no—
351Dic15—41no—
352Dic15—41no—
353C3×Dic5—21no—
354C3×Dic5—21no—
355C3×Dic5—41no—
356C3×Dic5—41no—
357C5×Dic3—22no—
358C5×Dic3C4×D412yes—
359C2×C3×Q8C22×D511yescharacteristic
360C2×C3×Q8C22×D511yescharacteristic
361#239—22no—
362#239C2×Dic514yes—
363D3×Q8—22no—
364D3×Q8C2×Dic514yescomplemented
365C2×D12—21no—
366C2×D12C22×D511yescharacteristic
367C2×C4×D3—21no—
368C2×C4×D3—21no—
369C2×C4×D3—101no—
370C2×C4×D3—101no—
371C2×C4×D3—101no—
372C2×C4×D3C22×D511yescharacteristic
373C2×Dic6—21no—
374C2×Dic6C22×D511yescharacteristic
375C3×Q16C2×Dic514yescomplemented
376C2×C3×C8—51no—
377C2×C3×C8C22×D511yescharacteristic
378C3×C4⋊C4—51no—
379C3×C4⋊C4—51no—
380C3×C4⋊C4—101no—
381C3×C4⋊C4—101no—
382C3×C42—51no—
383C3×C42—101no—
384C3×C42—101no—
385#216C2×Dic514yescomplemented
386#215C2×Dic514yescomplemented
387(C2×D3)⋊C4—51no—
388(C2×D3)⋊C4—51no—
389(C2×D3)⋊C4—101no—
390(C2×D3)⋊C4—101no—
391(C2×D3)⋊C4—101no—
392C4⋊Dic3—51no—
393C4⋊Dic3—51no—
394C4⋊Dic3—101no—
395C4⋊Dic3—101no—
396Dic3⋊C4—51no—
397Dic3⋊C4—51no—
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400Dic3⋊C4—101no—
401C4×Dic3—51no—
402C4×Dic3—101no—
403C4×Dic3—101no—
404C4×Dic3—101no—
405C4×Dic3—101no—
406C4×Dic3—101no—
407C2×C3⋊C8—51no—
408C2×C3⋊C8C22×D511yescharacteristic
409#204C2×Dic514yescomplemented
410ΓL(1,𝔽25)C2×Dic514yescomplemented
411D3×C8—102no—
412C23×C5—31no—
413C23×C5—61no—
414C5×Q8—21no—
415C5×Q8—21no—
416C5×Q8—32no—
417C5×Q8—64no—
418C5×Q8—61no—
419C5×Q8C2×C4×D312yes—
420C5×Q8C2×C4×D312yes—
421C5×D4—32no—
422C5×D4—64no—
423C5×D4—61no—
424C2×C4×C5—21no—
425C2×C4×C5—21no—
426C2×C4×C5—31no—
427C2×C4×C5—32no—
428C2×C4×C5—32no—
429C2×C4×C5—64no—
430C2×C4×C5—64no—
431C2×C4×C5—61no—
432C2×C4×C5C23×D311yescharacteristic
433C2×Dic5—21no—
434C2×Dic5—21no—
435C2×Dic5—31no—
436C2×Dic5—31no—
437C2×Dic5—61no—
438C2×Dic5—61no—
439C2×Dic5—241no—
440C2×Dic5—241no—
441C2×Dic5—241no—
442C2×Dic5D3×D411yescharacteristic
443C2×Dic5D3×D411yescharacteristic
444C5×C8—32no—
445C5×C8C2×C4×D312yes—
446#168—21no—
447#168—61no—
448C2×#41—31no—
449C22×Q8—31no—
450#137—38no—
451C2×Q16—31no—
452C2×Q16D3×D511yescharacteristic
453C2×SD16—31no—
454C2×SD16—31no—
455C2×M16—31no—
456C22×C8—151no—
457C4×Q8—51no—
458C4×Q8—51no—
459C4×Q8—151no—
460C4×Q8—151no—
461C4×Q8—151no—
462C4×Q8—151no—
463C4×Q8—301no—
464C4×Q8—301no—
465C4×D4—151no—
466C4×D4—151no—
467C4×D4—301no—
468C4×D4—301no—
469#117—151no—
470#117—151no—
471#117—301no—
472#117—301no—
473#117—301no—
474C2×C4⋊C4—151no—
475C2×C4⋊C4—301no—
476#107—151no—
477#107—151no—
478#106—51no—
479#106—151no—
480#103—51no—
481#103—51no—
482#103—151no—
483#103—151no—
484#103—151no—
485#103—151no—
486#102—151no—
487#102—151no—
488#97—51no—
489#97—151no—
490C4×C8—151no—
491C4×C8—151no—
492C2×C3×C5C2×C4×D411yescharacteristic
493C2×C3×C5#57711yescharacteristic
494C2×C3×C5#57811yescharacteristic
495C5×D3—22no—
496C5×D3—42no—
497C22×D3—21no—
498C22×D3D4×D511yescharacteristic
499C3×Q8—21no—
500C3×Q8—21no—
501C3×Q8C22×Dic512yes—
502C3×Q8C22×Dic512yes—
503C2×C3×C4—21no—
504C2×C3×C4—21no—
505C2×C3×C4—51no—
506C2×C3×C4—51no—
507C2×C3×C4—101no—
508C2×C3×C4—101no—
509C2×C3×C4C23×D511yescharacteristic
510C2×Dic3—21no—
511C2×Dic3—51no—
512C2×Dic3—51no—
513C2×Dic3—101no—
514C2×Dic3—101no—
515C2×Dic3D4×D511yescharacteristic
516D12—24no—
517D12—21no—
518D12C22×Dic512yes—
519C4×D3—24no—
520C4×D3—24no—
521C4×D3—401no—
522C4×D3—401no—
523C4×D3—401no—
524C4×D3#71112yes—
525C4×D3C22×Dic512yes—
526Dic6—21no—
527Dic6—24no—
528Dic6C22×Dic512yes—
529C3×C8—101no—
530C3×C8C22×Dic512yes—
531C3⋊C8—101no—
532C3⋊C8C22×Dic512yes—
533C22×C5—32no—
534C22×C5—61no—
535C22×C5—61no—
536C22×C5—62no—
537C22×C5—121no—
538C22×C5—121no—
539C22×C5C2×D3×D411yescharacteristic
540C4×C5—22no—
541C4×C5—22no—
542C4×C5—32no—
543C4×C5—62no—
544C4×C5C22×C4×D311yescharacteristic
545C4×C5D3×#4111yescharacteristic
546Dic5—21no—
547Dic5—21no—
548Dic5—41no—
549Dic5—41no—
550Dic5—61no—
551Dic5—61no—
552Dic5—121no—
553Dic5—121no—
554#41—34no—
555#41—62no—
556C2×Q8—34no—
557C2×Q8—31no—
558C2×Q8—61no—
559C2×Q8—62no—
560C2×Q8C2×D3×D511yescharacteristic
561C2×Q8C2×D3×D511yescharacteristic
562C2×D4—31no—
563C2×D4—61no—
564C22×C4—31no—
565C22×C4—61no—
566C22×C4—61no—
567C22×C4—301no—
568C22×C4—301no—
569C22×C4—301no—
570Q16—34no—
571Q16D3×Dic514yescomplemented
572SD16—34no—
573SD16—34no—
574M16—34no—
575C2×C8—31no—
576C2×C8—51no—
577C2×C8—151no—
578C2×C8—302no—
579C2×C8C2×D3×D511yescharacteristic
580C4⋊C4—51no—
581C4⋊C4—51no—
582C4⋊C4—101no—
583C4⋊C4—101no—
584C4⋊C4—151no—
585C4⋊C4—151no—
586C4⋊C4—151no—
587C4⋊C4—151no—
588C4⋊C4—301no—
589C4⋊C4—301no—
590C4⋊C4—301no—
591C4⋊C4—301no—
592C4⋊C4—301no—
593C22⋊C4—151no—
594C22⋊C4—151no—
595C22⋊C4—301no—
596C22⋊C4—301no—
597C22⋊C4—301no—
598C42—51no—
599C42—101no—
600C42—101no—
601C42—151no—
602C42—301no—
603C42—301no—
604C42—301no—
605C42—301no—
606C42—301no—
607C3×C5#294711yescharacteristic, complemented, Hall
608C22×C3C2×D4×D511yescharacteristic
609C2×D3—21no—
610C2×D3—21no—
611C2×D3—22no—
612C2×D3—41no—
613C2×D3—41no—
614C2×D3D4×Dic512yes—
615C3×C4—22no—
616C3×C4—22no—
617C3×C4—101no—
618C3×C4—101no—
619C3×C4—201no—
620C3×C4—201no—
621C3×C4C2×#71111yescharacteristic
622C3×C4C23×Dic511yescharacteristic
623Dic3—22no—
624Dic3—101no—
625Dic3—101no—
626Dic3—201no—
627Dic3—201no—
628Dic3D4×Dic512yes—
629C2×C5—62no—
630C2×C5—122no—
631C2×C5C4×D3×D411yescharacteristic
632C2×C5#577811yescharacteristic
633C2×C5#577911yescharacteristic
634C23—31no—
635C23—61no—
636Q8—21no—
637Q8—21no—
638Q8—32no—
639Q8—64no—
640Q8—61no—
641Q8C2×D3×Dic512yes—
642Q8C2×D3×Dic512yes—
643D4—32no—
644D4—64no—
645D4—61no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—31no—
649C2×C4—32no—
650C2×C4—32no—
651C2×C4—51no—
652C2×C4—51no—
653C2×C4—64no—
654C2×C4—64no—
655C2×C4—61no—
656C2×C4—101no—
657C2×C4—101no—
658C2×C4—151no—
659C2×C4—151no—
660C2×C4—301no—
661C2×C4—301no—
662C2×C4—1201no—
663C2×C4—1201no—
664C2×C4—1201no—
665C2×C4C22×D3×D511yescharacteristic
666C8—32no—
667C8—101no—
668C8—301no—
669C8C2×D3×Dic512yes—
670C2×C3#6611211yescharacteristic
671C2×C3#6611311yescharacteristic
672C2×C3C2×D4×Dic511yescharacteristic
673D3—22no—
674D3—42no—
675C5#7983011yescharacteristic, complemented, Sylow
676C22—32no—
677C22—61no—
678C22—61no—
679C22—62no—
680C22—121no—
681C22—121no—
682C22D3×D4×D511yescharacteristic
683C4—22no—
684C4—22no—
685C4—32no—
686C4—62no—
687C4—101no—
688C4—101no—
689C4—201no—
690C4—201no—
691C4—301no—
692C4—301no—
693C4—601no—
694C4—601no—
695C4D3×#71111yescharacteristic
696C4C22×D3×Dic511yescharacteristic
697C3#1061569611yescharacteristic, complemented, Sylow
698C2—62no—
699C2—122no—
700C2#1175410911yescharacteristic
701C2#1175411111yescharacteristic
702C2D3×D4×Dic511yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×Q16C22
socleC22×C3×C5C22×D4
prime radicalC2×C5×#239C22
cosocleC2×C3×C4×C5C24
hypercenterC2×Q16D3×D5
hypocenterC3×C5#2947
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×Q16

Complements

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

NH ≅ G/Ntype
3. #11755144C2semidirect
4. Q16×Dic15C2semidirect
5. C3×#65473C2semidirect
6. #11749266C2semidirect
7. Dic5×#216C2semidirect
8. #11749242C2semidirect
9. Dic5×#215C2semidirect
11. D3×#3967C2semidirect
12. #11748055C2semidirect
13. #11747807C2semidirect
14. #11747769C2semidirect
15. #11747628C2semidirect
24. C5×#918C4semidirect
68. #65473D3semidirect
82. C5×D3×Q8C2×C4semidirect
93. C3×C5×Q16C2×C4semidirect
103. C5×#216C2×C4semidirect
104. C5×#215C2×C4semidirect
106. C5×#204C2×C4semidirect
107. C5×ΓL(1,𝔽25)C2×C4semidirect
235. #918Dic5semidirect
287. C5×Q16C4×D3semidirect
364. D3×Q8C2×Dic5semidirect
375. C3×Q16C2×Dic5semidirect
385. #216C2×Dic5semidirect
386. #215C2×Dic5semidirect
409. #204C2×Dic5semidirect
410. ΓL(1,𝔽25)C2×Dic5semidirect
571. Q16D3×Dic5semidirect
607. C3×C5#2947semidirect
675. C5#79830semidirect
697. C3#10615696semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#9182
#117552202
#117551442
Q16×Dic152
C3×#654732
#117492662
Dic5×#2162
#117492422
Dic5×#2152
#117492112
D3×#39672
#117480552
#117478072
#117477692
#117476282
#106156963
#798305