Finite Group Databasebeta

← #14417226

Subgroups — #14417226

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×#91274C211yesmaximal, characteristic
2#11752523C211yesmaximal, characteristic, complemented
3#11752518C211yesmaximal, characteristic
4C4×Dic60C211yesmaximal, characteristic, complemented
5C5×#4689C211yesmaximal, characteristic, complemented
6C3×C4×#677C211yesmaximal, characteristic, complemented
7#11748137C211yesmaximal, characteristic
8#11747876C211yesmaximal, characteristic, complemented
9#11747831C211yesmaximal, characteristic, complemented
10#11747795C211yesmaximal, characteristic, complemented
11#11747739C211yesmaximal, characteristic, complemented
12#11747628C211yesmaximal, characteristic, complemented
13D3×#3948C211yesmaximal, characteristic, complemented
14#11747091C211yesmaximal, characteristic, complemented
15#11747052C211yesmaximal, characteristic, complemented
16#10610302—31nomaximal, Hall
17C2×D3×Dic10C2211yescharacteristic
18C2×#6765C2211yescharacteristic
19C2×Dic60C2211yescharacteristic
20C4×Dic30C2211yescharacteristic
21C4×Dic30C2211yescharacteristic
22C2×C5×ΓL(1,𝔽25)C2211yescharacteristic
23C2×C5×D3×C8C2211yescharacteristic
24C5×#872C2211yescharacteristic
25C2×C3×#677C2211yescharacteristic
26C3×C4×D20C2211yescharacteristic
27C3×C4×Dic10C2211yescharacteristic
28#91442—21no—
29#91440—21no—
30D3×C4⋊Dic5C2211yescharacteristic
31Dic3×D20C2211yescharacteristic
32#91400—21no—
33#91398—21no—
34#91394—21no—
35D5×Dic3⋊C4—21no—
36#91340C2211yescharacteristic
37#91340C2211yescharacteristic
38#91338C2211yescharacteristic
39Dic3×Dic10C2211yescharacteristic
40#91325—21no—
41#91323—21no—
42C2×#6662C2211yescharacteristic
43C2×#6657C2211yescharacteristic
44#91274C418yescomplemented
45C3×C4×C5×C8C2211yescharacteristic
46#91102C2211yescharacteristic
47#91100C2211yescharacteristic
48#91100C2211yescharacteristic
49C5×#815C2211yescharacteristic
50C5×C8×Dic3C2211yescharacteristic
51C5×#803C2211yescharacteristic
52C3×#3953C2211yescharacteristic
53C3×#3949C2211yescharacteristic
54C3×#3948C2211yescharacteristic
55#90990C2211yescharacteristic
56#90987C2211yescharacteristic
57#90974C2211yescharacteristic
58#90974C2211yescharacteristic
59#90971C2211yescharacteristic
60#90965C2211yescharacteristic
61#79648—51nomaximal, Hall
62C2×#4055—31no—
63#65857—31no—
64#65850—31no—
65C5×#405—31no—
66#65410—31no—
67#65402—31no—
68C2×#3948—31no—
69#65005—31no—
70#65005—31no—
71#64999—31no—
72#64999—31no—
73C4×Dic20—31no—
74C4×Dic20—31no—
75C4×#677—31no—
76C4×#677D311yescharacteristic, complemented
77C2×Dic30C2311yescharacteristic
78C2×Dic30C2311yescharacteristic
79C2×C4×C5×D3C2311yescharacteristic
80C2×C3×D20C2311yescharacteristic
81C2×C3×C4×D5—21no—
82C2×C3×Dic10C2311yescharacteristic
83C2×#1204—21no—
84C2×#1201—21no—
85C2×D3×Dic5—21no—
86C2×D3×Dic5—21no—
87C2×D5×Dic3—21no—
88C2×D5×Dic3—21no—
89D3×Dic10—22no—
90D3×Dic10C2×C414yescomplemented
91#6765—22no—
92#6765C2×C414yes—
93C2×C3×C5×C8C2311yescharacteristic
94C2×C3×C5×C8C2311yescharacteristic
95C3×C42×C5C2311yescharacteristic
96C4⋊Dic15C2311yescharacteristic
97C4⋊Dic15C2311yescharacteristic
98#6712—21no—
99#6712—21no—
100C4×Dic15—21no—
101C4×Dic15—21no—
102Dic60C2×C414yescomplemented
103C5×(C2×D3)⋊C4D411yescharacteristic
104C5×(C2×D3)⋊C4D411yescharacteristic
105C5×Dic3⋊C4D411yescharacteristic
106C5×Dic3⋊C4D411yescharacteristic
107C4×C5×Dic3C2311yescharacteristic
108C2×C5×C3⋊C8C2311yescharacteristic
109C2×C5×C3⋊C8C2311yescharacteristic
110C5×ΓL(1,𝔽25)C2×C414yescomplemented
111C5×D3×C8—22no—
112C3×#685—21no—
113C3×C4⋊Dic5C2311yescharacteristic
114C3×C4⋊Dic5C2311yescharacteristic
115C3×#683—21no—
116C3×C4×Dic5—21no—
117C3×#677C2×C414yescomplemented
118Dic3⋊Dic5—21no—
119#6669—21no—
120#6669—21no—
121#6668—21no—
122(C2×D3)⋊Dic5—21no—
123#6665—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127Dic3×Dic5—21no—
128#6662C2×C414yescomplemented
129#6657C2×C414yescomplemented
130C2×#915—51no—
131#5572—51no—
132#5546—51no—
133C3×C4×SD16—51no—
134#5164—51no—
135#5030—51no—
136#5018—51no—
137#4861—51no—
138#4853—51no—
139D3×#103—51no—
140#4790—51no—
141#4772—51no—
142#4758—51no—
143C4×Dic12—51no—
144#4689D511yescharacteristic, complemented
145C2×#709—31no—
146C22×Dic10—31no—
147C2×C5×M16—31no—
148C22×C5×C8—31no—
149C5×#117—31no—
150#4072—31no—
151C2×C4⋊Dic5—31no—
152#4055—38no—
153C2×Dic20—31no—
154C2×Dic20—31no—
155C2×#677—31no—
156C2×#677C2×D311yescharacteristic
157#4038—61no—
158D5×C4⋊C4—61no—
159#4033—61no—
160#4033—61no—
161#4027—61no—
162#4027—61no—
163#4023—61no—
164#4023—61no—
165C4×D20—31no—
166C4×D20C2×D311yescharacteristic
167C4×Dic10—31no—
168C4×Dic10—31no—
169C4×Dic10—31no—
170C4×Dic10—31no—
171C4×Dic10—31no—
172C4×Dic10C2×D311yescharacteristic
173C5×#97—31no—
174C5×#97—31no—
175C4×C5×C8—31no—
176C4×C5×C8C2×D311yescharacteristic
177#3953—31no—
178#3953C2×D311yescharacteristic
179#3950—31no—
180#3950—31no—
181#3949—31no—
182#3949C2×D311yescharacteristic
183#3948—31no—
184#3948—31no—
185#3948—31no—
186#3948—31no—
187#3948—31no—
188#3948C2×D311yescharacteristic
189#2947—151noSylow
190C22×C5×D3C2×D411yescharacteristic
191C22×C3×D5—21no—
192C2×C3×C4×C5C2×D411yescharacteristic
193C2×C3×C4×C5C2×D411yescharacteristic
194C2×C3×C4×C5C2411yescharacteristic
195C2×Dic15—21no—
196C2×Dic15—21no—
197C2×Dic15—21no—
198C2×Dic15—21no—
199Dic30—21no—
200Dic30—21no—
201Dic30C22×C412yes—
202Dic30C22×C412yes—
203C2×C5×Dic3C2×D411yescharacteristic
204C2×C5×Dic3C2×D411yescharacteristic
205C2×C5×Dic3C2×D411yescharacteristic
206C4×C5×D3C22×C412yes—
207C4×C5×D3#4112yes—
208C2×C3×Dic5—21no—
209C2×C3×Dic5—21no—
210C2×C3×Dic5—21no—
211C3×D20—21no—
212C3×D20C22×C412yes—
213C3×C4×D5—81no—
214C3×Dic10—21no—
215C3×Dic10C22×C412yes—
216#1204—24no—
217#1201—24no—
218D3×Dic5—24no—
219D3×Dic5—81no—
220D5×Dic3—24no—
221D5×Dic3—81no—
222C3×C5×C8—21no—
223C3×C5×C8C22×C412yes—
224C5×C3⋊C8—21no—
225C5×C3⋊C8C22×C412yes—
226C2×D3×Q8—51no—
227C2×#237—51no—
228C2×C3×SD16—51no—
229C3×C4×Q8—51no—
230C3×C4×D4—51no—
231Q8×Dic3—51no—
232C2×#216—51no—
233D4×Dic3—51no—
234C2×#214—51no—
235C4×#67—101no—
236C2×Dic3⋊C4—101no—
237#915—58no—
238C2×Dic12—51no—
239C2×ΓL(1,𝔽25)C2×D511yescharacteristic
240C2×D3×C8C2×D511yescharacteristic
241#892—51no—
242#892—101no—
243D3×C4⋊C4—51no—
244#887—51no—
245#887—51no—
246#887—101no—
247#67⋊C4—101no—
248#877—101no—
249#872—101no—
250#872C2×D511yescharacteristic
251C4×Dic6—51no—
252C4×Dic6—51no—
253C4×Dic6—101no—
254C3×#106—51no—
255C3×#103—51no—
256C3×#102—51no—
257C3×C4×C8C2×D511yescharacteristic
258#835—51no—
259#832—51no—
260#818—51no—
261#816—51no—
262#816—51no—
263#815C2×D511yescharacteristic
264C8×Dic3C2×D511yescharacteristic
265#810—51no—
266#810—51no—
267#808—51no—
268#807—51no—
269#803C2×D511yescharacteristic
270C22×C4×C5—31no—
271C2×C22⋊D5—61no—
272C22×Dic5—61no—
273C22×Dic5—61no—
274#709—34no—
275#709—62no—
276C2×D20C22×D311yescharacteristic
277C2×C4×D5—21no—
278C2×C4×D5—61no—
279C2×C4×D5—61no—
280C2×Dic10—31no—
281C2×Dic10—31no—
282C2×Dic10—34no—
283C2×Dic10—62no—
284C2×Dic10—61no—
285C2×Dic10C22×D311yescharacteristic
286C5×M16—34no—
287C2×C5×C8—31no—
288C2×C5×C8—31no—
289C2×C5×C8—62no—
290C2×C5×C8C22×D311yescharacteristic
291C2×C5×C8C22×D311yescharacteristic
292C5×C4⋊C4—31no—
293C5×C4⋊C4—31no—
294C5×C22⋊C4—31no—
295C5×C22⋊C4—31no—
296C42×C5—31no—
297C42×C5C22×D311yescharacteristic
298C22⋊Dic5—61no—
299#685—21no—
300#685—61no—
301C4⋊Dic5—31no—
302C4⋊Dic5—31no—
303C4⋊Dic5—61no—
304C4⋊Dic5C22×D311yescharacteristic
305C4⋊Dic5C22×D311yescharacteristic
306#683—21no—
307#683—61no—
308#683—61no—
309#683—61no—
310#683—61no—
311#683—61no—
312C4×Dic5—21no—
313C4×Dic5—61no—
314C4×Dic5—61no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319Dic20—34no—
320Dic20—34no—
321#677—34no—
322#677C4×D314yescomplemented
323C2×#137—151no—
324#520—151no—
325#519—151no—
326#441—151no—
327#441—151no—
328#440—151no—
329#440—151no—
330C4×Q16—151no—
331C4×Q16—151no—
332C4×SD16—51no—
333C4×SD16—151no—
334#428—151no—
335#416—151no—
336C2×#103—151no—
337#405—31no—
338C22×C3×C5C22×D411yescharacteristic
339C2×C5×D3—21no—
340C2×C5×D3—21no—
341C2×C5×D3C4×D412yes—
342C2×C3×D5—22no—
343C2×C3×D5—41no—
344C2×C3×D5—41no—
345C3×C4×C5—21no—
346C3×C4×C5—21no—
347C3×C4×C5C23×C411yescharacteristic
348C3×C4×C5C2×#4111yescharacteristic
349Dic15—22no—
350Dic15—22no—
351Dic15—41no—
352Dic15—41no—
353C3×Dic5—22no—
354C3×Dic5—41no—
355C3×Dic5—41no—
356C5×Dic3—21no—
357C5×Dic3—21no—
358C5×Dic3C4×D412yes—
359C2×C3×Q8—51no—
360C2×C3×D4—51no—
361C22×C3×C4—101no—
362C2×#67—101no—
363C22×Dic3—101no—
364C22×Dic3—101no—
365D3×Q8—54no—
366D3×Q8—102no—
367#237—54no—
368#237—102no—
369C2×C4×D3—101no—
370C2×C4×D3—101no—
371C2×C4×D3C22×D511yescharacteristic
372C2×Dic6—51no—
373C2×Dic6—51no—
374C2×Dic6—101no—
375C3×SD16—54no—
376C2×C3×C8C22×D511yescharacteristic
377C2×C3×C8C22×D511yescharacteristic
378C3×C4⋊C4—51no—
379C3×C4⋊C4—51no—
380C3×C4⋊C4—101no—
381C3×C22⋊C4—101no—
382C3×C42—101no—
383C3×C42C22×D511yescharacteristic
384#217—101no—
385#216—54no—
386#214—54no—
387(C2×D3)⋊C4—101no—
388(C2×D3)⋊C4D2011yescharacteristic
389(C2×D3)⋊C4D2011yescharacteristic
390C4⋊Dic3—51no—
391C4⋊Dic3—51no—
392C4⋊Dic3—101no—
393Dic3⋊C4—101no—
394Dic3⋊C4—101no—
395Dic3⋊C4—101no—
396Dic3⋊C4—101no—
397Dic3⋊C4—101no—
398Dic3⋊C4D2011yescharacteristic
399Dic3⋊C4D2011yescharacteristic
400C4×Dic3—101no—
401C4×Dic3—101no—
402C4×Dic3—101no—
403C4×Dic3—101no—
404C4×Dic3—101no—
405C4×Dic3—101no—
406C4×Dic3C22×D511yescharacteristic
407C2×C3⋊C8C22×D511yescharacteristic
408C2×C3⋊C8C22×D511yescharacteristic
409Dic12—54no—
410ΓL(1,𝔽25)C4×D514yescomplemented
411D3×C8—22no—
412C23×C5—31no—
413C22×D5—21no—
414C2×C4×C5—31no—
415C2×C4×C5—32no—
416C2×C4×C5—32no—
417C2×C4×C5—31no—
418C2×C4×C5—31no—
419C2×C4×C5D3×D411yescharacteristic
420C2×C4×C5D3×D411yescharacteristic
421C2×C4×C5C23×D311yescharacteristic
422C22⋊D5—64no—
423C2×Dic5—21no—
424C2×Dic5—21no—
425C2×Dic5—21no—
426C2×Dic5—64no—
427C2×Dic5—61no—
428C2×Dic5—61no—
429C2×Dic5—61no—
430C2×Dic5—61no—
431C2×Dic5—241no—
432D20—21no—
433D20C2×C4×D312yes—
434C4×D5—64no—
435C4×D5—81no—
436C4×D5—241no—
437Dic10—21no—
438Dic10—32no—
439Dic10—32no—
440Dic10—64no—
441Dic10—61no—
442Dic10—61no—
443Dic10C2×C4×D312yes—
444C5×C8—21no—
445C5×C8—32no—
446C5×C8—61no—
447C5×C8C2×C4×D312yes—
448C2×#41—151no—
449C22×Q8—151no—
450#137—158no—
451C2×Q16—151no—
452C2×Q16—151no—
453C2×SD16—51no—
454C2×SD16—151no—
455C2×M16—31no—
456C22×C8—31no—
457C4×Q8—51no—
458C4×Q8—151no—
459C4×Q8—151no—
460C4×Q8—151no—
461C4×Q8—151no—
462C4×Q8—151no—
463C4×Q8—301no—
464C4×Q8—301no—
465C4×D4—51no—
466C4×D4—151no—
467C4×D4—301no—
468C4×D4—301no—
469#117—31no—
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—151no—
482#103—151no—
483#103—151no—
484#103—151no—
485#103—151no—
486#102—51no—
487#102—151no—
488#97—31no—
489#97—31no—
490C4×C8—31no—
491C4×C8D3×D511yescharacteristic
492C2×C3×C5C2×C4×D411yescharacteristic
493C2×C3×C5#57711yescharacteristic
494C2×C3×C5#57811yescharacteristic
495C3×D5—42no—
496C5×D3—22no—
497C23×C3—101no—
498C22×D3C2×D2011yescharacteristic
499C3×Q8—52no—
500C3×Q8—101no—
501C3×D4—52no—
502C3×D4—101no—
503C2×C3×C4—101no—
504C2×C3×C4—101no—
505C2×C3×C4—101no—
506C2×C3×C4—401no—
507C2×C3×C4C2×D2011yescharacteristic
508C2×C3×C4C2×D2011yescharacteristic
509C2×C3×C4C23×D511yescharacteristic
510#67—104no—
511C2×Dic3—101no—
512C2×Dic3—101no—
513C2×Dic3—104no—
514C2×Dic3—101no—
515C2×Dic3—101no—
516C2×Dic3—401no—
517C2×Dic3C2×D2011yescharacteristic
518C2×Dic3C2×D2011yescharacteristic
519C2×Dic3C2×D2011yescharacteristic
520C4×D3—104no—
521C4×D3—401no—
522C4×D3C2×C4×D512yes—
523C4×D3#70912yes—
524Dic6—52no—
525Dic6—52no—
526Dic6—101no—
527Dic6—101no—
528Dic6—104no—
529C3×C8—21no—
530C3×C8C2×C4×D512yes—
531C3⋊C8—21no—
532C3⋊C8C2×C4×D512yes—
533C22×C5—32no—
534C22×C5—61no—
535C22×C5—61no—
536C22×C5C2×D3×D411yescharacteristic
537C2×D5—22no—
538C2×D5—41no—
539C2×D5—41no—
540C4×C5—21no—
541C4×C5—21no—
542C4×C5—32no—
543C4×C5—61no—
544C4×C5—61no—
545C4×C5C22×C4×D311yescharacteristic
546C4×C5D3×#4111yescharacteristic
547Dic5—22no—
548Dic5—41no—
549Dic5—41no—
550Dic5—62no—
551Dic5—62no—
552Dic5—121no—
553Dic5—121no—
554#41—154no—
555#41—302no—
556C2×Q8—51no—
557C2×Q8—154no—
558C2×Q8—151no—
559C2×Q8—151no—
560C2×Q8—301no—
561C2×Q8—302no—
562C2×D4—51no—
563C2×D4—301no—
564C22×C4—31no—
565C22×C4—101no—
566C22×C4—301no—
567C22×C4—301no—
568C22×C4—301no—
569C22×C4—301no—
570Q16—154no—
571Q16—154no—
572SD16—54no—
573SD16—154no—
574M16—34no—
575C2×C8—31no—
576C2×C8—31no—
577C2×C8—62no—
578C2×C8C2×D3×D511yescharacteristic
579C2×C8C2×D3×D511yescharacteristic
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—51no—
583C4⋊C4—51no—
584C4⋊C4—101no—
585C4⋊C4—151no—
586C4⋊C4—151no—
587C4⋊C4—301no—
588C4⋊C4—301no—
589C4⋊C4—301no—
590C4⋊C4—301no—
591C4⋊C4—301no—
592C4⋊C4—301no—
593C22⋊C4—31no—
594C22⋊C4—31no—
595C22⋊C4—101no—
596C22⋊C4—301no—
597C22⋊C4—301no—
598C42—31no—
599C42—101no—
600C42—301no—
601C42—301no—
602C42—301no—
603C42—301no—
604C42—301no—
605C42—301no—
606C42C2×D3×D511yescharacteristic
607C3×C5#294711yescharacteristic, complemented, Hall
608C22×C3—102no—
609C22×C3—201no—
610C22×C3—201no—
611C22×C3C22×D2011yescharacteristic
612C2×D3—21no—
613C2×D3—21no—
614C2×D3C4×D2012yes—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—102no—
618C3×C4—201no—
619C3×C4—201no—
620C3×C4C22×C4×D511yescharacteristic
621C3×C4C2×#70911yescharacteristic
622Dic3—21no—
623Dic3—21no—
624Dic3—102no—
625Dic3—102no—
626Dic3—201no—
627Dic3—201no—
628Dic3C4×D2012yes—
629C2×C5—62no—
630C2×C5C4×D3×D411yescharacteristic
631C2×C5#576211yescharacteristic
632C2×C5#577111yescharacteristic
633D5—42no—
634C23—31no—
635C23—101no—
636Q8—52no—
637Q8—101no—
638Q8—152no—
639Q8—152no—
640Q8—304no—
641Q8—301no—
642Q8—301no—
643D4—52no—
644D4—101no—
645D4—304no—
646C2×C4—31no—
647C2×C4—32no—
648C2×C4—32no—
649C2×C4—31no—
650C2×C4—31no—
651C2×C4—101no—
652C2×C4—101no—
653C2×C4—101no—
654C2×C4—304no—
655C2×C4—304no—
656C2×C4—301no—
657C2×C4—301no—
658C2×C4—301no—
659C2×C4—301no—
660C2×C4—401no—
661C2×C4—1201no—
662C2×C4—1201no—
663C2×C4D3×D2011yescharacteristic
664C2×C4D3×D2011yescharacteristic
665C2×C4C22×D3×D511yescharacteristic
666C8—21no—
667C8—32no—
668C8—61no—
669C8C4×D3×D512yes—
670C2×C3—202no—
671C2×C3C2×C4×D2011yescharacteristic
672C2×C3#6608511yescharacteristic
673C2×C3#6608711yescharacteristic
674D3—22no—
675C5#7964811yescharacteristic, complemented, Sylow
676C22—32no—
677C22—61no—
678C22—61no—
679C22—102no—
680C22—201no—
681C22—201no—
682C22C2×D3×D2011yescharacteristic
683C4—21no—
684C4—21no—
685C4—32no—
686C4—61no—
687C4—61no—
688C4—102no—
689C4—201no—
690C4—201no—
691C4—302no—
692C4—302no—
693C4—601no—
694C4—601no—
695C4C2×C4×D3×D511yescharacteristic
696C4D3×#70911yescharacteristic
697C3#1061030211yescharacteristic, complemented, Sylow
698C2—62no—
699C2—202no—
700C2C4×D3×D2011yescharacteristic
701C2#1175397011yescharacteristic
702C2#1175400311yescharacteristic
subgroupG/H
centerC22C2×D3×D20
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×C8C22
socleC22×C3×C5C22×D4
prime radicalC2×#6765C22
cosocleC2×C3×C4×C5C24
hypercenterC4×C8D3×D5
hypocenterC3×C5#2947
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×C8

Complements

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

NH ≅ G/Ntype
2. #11752523C2semidirect
4. C4×Dic60C2semidirect
5. C5×#4689C2semidirect
6. C3×C4×#677C2semidirect
8. #11747876C2semidirect
9. #11747831C2semidirect
10. #11747795C2semidirect
11. #11747739C2semidirect
12. #11747628C2semidirect
13. D3×#3948C2semidirect
14. #11747091C2semidirect
15. #11747052C2semidirect
44. #91274C4semidirect
76. C4×#677D3semidirect
90. D3×Dic10C2×C4semidirect
102. Dic60C2×C4semidirect
110. C5×ΓL(1,𝔽25)C2×C4semidirect
117. C3×#677C2×C4semidirect
128. #6662C2×C4semidirect
129. #6657C2×C4semidirect
144. #4689D5semidirect
322. #677C4×D3semidirect
410. ΓL(1,𝔽25)C4×D5semidirect
607. C3×C5#2947semidirect
675. C5#79648semidirect
697. C3#10610302semidirect

Maximal subgroups

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

subgroupindex
C2×#912742
#117525232
#117525182
C4×Dic602
C5×#46892
C3×C4×#6772
#117481372
#117478762
#117478312
#117477952
#117477392
#117476282
D3×#39482
#117470912
#117470522
#106103023
#796485