Finite Group Databasebeta

← #14413485

Subgroups — #14413485

Order 1920.

952 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×#91266C211yesmaximal, characteristic
2#11753668C211yesmaximal, characteristic
3#11753667C211yesmaximal, characteristic
4#11750962C211yesmaximal, characteristic, complemented
5C5×#4861C211yesmaximal, characteristic, complemented
6C3×D5×#106C211yesmaximal, characteristic, complemented
7#11747672C211yesmaximal, characteristic, complemented
8#11747638C211yesmaximal, characteristic, complemented
9#11747628C211yesmaximal, characteristic, complemented
10#11747453C211yesmaximal, characteristic, complemented
11#11747452C211yesmaximal, characteristic, complemented
12#11747441C211yesmaximal, characteristic, complemented
13#11747440C211yesmaximal, characteristic, complemented
14#11747437C211yesmaximal, characteristic, complemented
15D3×#3940C211yesmaximal, characteristic, complemented
16#10610940—31nomaximal, Hall
17C2×#6771C2211yescharacteristic
18C2×#6705C2211yescharacteristic
19#91781C2211yescharacteristic
20C4⋊C4×D15C2211yescharacteristic
21C2×C5×ΓL(1,𝔽25)C2211yescharacteristic
22C5×#892C2211yescharacteristic
23C5×D3×C4⋊C4C2211yescharacteristic
24C2×C3×C8×D5C2211yescharacteristic
25C3×D5×C4⋊C4C2211yescharacteristic
26C3×D5×C4⋊C4C2211yescharacteristic
27#91446—21no—
28#91444—21no—
29C4×#1202—21no—
30#91440—21no—
31C4×#1201—21no—
32#91437C2211yescharacteristic
33D3×C4⋊Dic5C2211yescharacteristic
34#91406—21no—
35#91358C2211yescharacteristic
36#91358C2211yescharacteristic
37#91347C2211yescharacteristic
38#91338C2211yescharacteristic
39#91325—21no—
40#91324—21no—
41C2×#6649C2211yescharacteristic
42C2×#6648C2211yescharacteristic
43C2×D3×#168C2211yescharacteristic
44#91266C418yescomplemented
45C3×C5×#106C2211yescharacteristic
46#91102C2211yescharacteristic
47#91092C2211yescharacteristic
48#91091C2211yescharacteristic
49C5×#818C2211yescharacteristic
50C5×#808C2211yescharacteristic
51C5×#807C2211yescharacteristic
52C3×#3949C2211yescharacteristic
53C3×#3940C2211yescharacteristic
54C3×#3940C2211yescharacteristic
55#90990C2211yescharacteristic
56#90989C2211yescharacteristic
57#90987C2211yescharacteristic
58#90986C2211yescharacteristic
59#90985C2211yescharacteristic
60#90985C2211yescharacteristic
61#79116—51nomaximal, Hall
62C2×#4053—31no—
63#65857—31no—
64#65838—31no—
65C5×#428—31no—
66#65410—31no—
67#65287—31no—
68C2×#3940—31no—
69#65170—31no—
70#65170—31no—
71#65169—31no—
72#65169—31no—
73#65150—31no—
74#65150—31no—
75D5×#106—31no—
76D5×#106D311yescharacteristic, complemented
77C2×C4×D15—21no—
78C2×C4×D15C2311yescharacteristic
79C2×C4×C5×D3—21no—
80C2×C4×C5×D3C2311yescharacteristic
81C2×C3×C4×D5—21no—
82C2×C3×C4×D5—21no—
83C2×C3×C4×D5C2311yescharacteristic
84C2×#1204D411yescharacteristic
85C2×#1203D411yescharacteristic
86C2×#1202D411yescharacteristic
87C2×#1201D411yescharacteristic
88C2×#1200—21no—
89C2×D3×Dic5—21no—
90#6771C2×C414yes—
91#6771Q814yes—
92C2×C3×C5×C8C2311yescharacteristic
93C3×C5×C4⋊C4C2311yescharacteristic
94C3×C5×C4⋊C4C2311yescharacteristic
95#6714—21no—
96C4⋊Dic15C2311yescharacteristic
97C4⋊Dic15C2311yescharacteristic
98#6712—21no—
99C4×Dic15—21no—
100C2×C3⋊#168C2311yescharacteristic
101#6705C2×C414yescomplemented
102C5×(C2×D3)⋊C4—21no—
103C5×C4⋊Dic3C2311yescharacteristic
104C5×C4⋊Dic3C2311yescharacteristic
105C5×Dic3⋊C4—21no—
106C4×C5×Dic3—21no—
107C2×C5×C3⋊C8C2311yescharacteristic
108C5×ΓL(1,𝔽25)C2×C414yescomplemented
109C3×C4⋊Dic5C2311yescharacteristic
110C3×C4⋊Dic5C2311yescharacteristic
111C3×#683—21no—
112C3×#683—21no—
113C2×C3×#168C2311yescharacteristic
114C3×C8×D5C2×C414yescomplemented
115Dic3⋊Dic5—21no—
116#6669—21no—
117#6667—21no—
118(C2×D3)⋊Dic5—21no—
119#6665—21no—
120#6665—21no—
121Dic3×Dic5—21no—
122Dic3×Dic5—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125#6649C2×C414yescomplemented
126#6648C2×C414yescomplemented
127D3×#168C2×C414yescomplemented
128C2×#901—51no—
129#5504—51no—
130#5504—51no—
131C2×C3×#106—51no—
132#5106—51no—
133#4964—51no—
134#4964—51no—
135#4861—51no—
136#4861—51no—
137#4861—51no—
138#4861D511yescharacteristic, complemented
139#4860—51no—
140#4860—51no—
141D3×#106—51no—
142D3×#106—51no—
143C2×#709—31no—
144C2×C5×M16—31no—
145C5×#117—31no—
146C2×C5×C4⋊C4—31no—
147C4×C22⋊D5—61no—
148C4×C22⋊D5—61no—
149#4072—31no—
150C2×C4⋊Dic5—31no—
151C22×#168—31no—
152#4053—38no—
153C2×#676—31no—
154C2×#676—31no—
155C2×C8×D5—31no—
156C2×C8×D5C2×D311yescharacteristic
157#4039—61no—
158#4038—31no—
159#4038—31no—
160#4038—31no—
161#4038—31no—
162D5×C4⋊C4—31no—
163D5×C4⋊C4—31no—
164D5×C4⋊C4C2×D311yescharacteristic
165D5×C4⋊C4C2×D311yescharacteristic
166#4033—61no—
167#4027—61no—
168#4027—61no—
169C4×D20—61no—
170C4×Dic10—61no—
171C5×#107—31no—
172C5×#107—31no—
173C5×#106—31no—
174C5×#106C2×D311yescharacteristic
175#3950—31no—
176#3950—31no—
177#3949—31no—
178#3949C2×D311yescharacteristic
179#3940—31no—
180#3940—31no—
181#3940—31no—
182#3940—31no—
183#3940C2×D311yescharacteristic
184#3940C2×D311yescharacteristic
185#3939—31no—
186#3939—31no—
187#2912—151noSylow
188C22×D15C2×D411yescharacteristic
189C22×C5×D3C2×D411yescharacteristic
190C22×C3×D5C2×D411yescharacteristic
191C2×C3×C4×C5—21no—
192C2×C3×C4×C5—21no—
193C2×C3×C4×C5C2411yescharacteristic
194C2×Dic15—21no—
195C2×Dic15—21no—
196C2×Dic15C2×D411yescharacteristic
197C4×D15—81no—
198C4×D15C22×C412yes—
199C4×D15C2×Q812yes—
200C2×C5×Dic3—21no—
201C2×C5×Dic3—21no—
202C2×C5×Dic3C2×D411yescharacteristic
203C4×C5×D3—81no—
204C4×C5×D3C22×C412yes—
205C4×C5×D3C2×Q812yes—
206C2×C3×Dic5—21no—
207C2×C3×Dic5—21no—
208C2×C3×Dic5C2×D411yescharacteristic
209C3×C4×D5—81no—
210C3×C4×D5—81no—
211C3×C4×D5C22×C412yes—
212C3×C4×D5C2×Q812yes—
213#1204C4⋊C414yes—
214#1203C4⋊C414yes—
215#1202C4⋊C414yes—
216#1201C4⋊C414yes—
217#1200—81no—
218D3×Dic5—81no—
219C3×C5×C8C22×C412yes—
220C3⋊#168C22×C412yes—
221C3×#168C22×C412yes—
222C5×C3⋊C8C22×C412yes—
223C2×#235—51no—
224C22×C3×C8—51no—
225C2×C3×C4⋊C4—51no—
226C2×C3×C4⋊C4—51no—
227C4×#67—101no—
228C4×#67—101no—
229C4×#67—101no—
230C4×#67—101no—
231#926—51no—
232#926—51no—
233C2×#208—51no—
234#901—58no—
235C2×ΓL(1,𝔽25)—51no—
236C2×ΓL(1,𝔽25)C2×D511yescharacteristic
237C2×D3×C8—51no—
238C2×D3×C8—51no—
239#893—101no—
240#893—101no—
241#892—51no—
242#892—51no—
243#892—51no—
244#892C2×D511yescharacteristic
245D3×C4⋊C4—51no—
246D3×C4⋊C4—51no—
247D3×C4⋊C4—51no—
248D3×C4⋊C4C2×D511yescharacteristic
249#887—101no—
250#887—101no—
251C3×#106—51no—
252C3×#106—51no—
253C3×#106—51no—
254C3×#106C2×D511yescharacteristic
255#818—51no—
256#818C2×D511yescharacteristic
257#817—51no—
258#817—51no—
259#808—51no—
260#808—51no—
261#808—51no—
262#808C2×D511yescharacteristic
263#807—51no—
264#807—51no—
265#807—51no—
266#807C2×D511yescharacteristic
267C22×C4×C5—31no—
268C22×C4×C5—61no—
269C2×C22⋊D5—31no—
270C2×C22⋊D5—31no—
271C22×Dic5—61no—
272#709—34no—
273#709—34no—
274C2×D20—31no—
275C2×C4×D5—21no—
276C2×C4×D5—21no—
277C2×C4×D5—31no—
278C2×C4×D5—61no—
279C2×C4×D5—61no—
280C2×C4×D5C22×D311yescharacteristic
281C2×Dic10—31no—
282C5×M16—34no—
283C2×C5×C8—31no—
284C2×C5×C8C22×D311yescharacteristic
285C5×C4⋊C4—31no—
286C5×C4⋊C4—31no—
287C5×C4⋊C4—61no—
288C5×C4⋊C4C22×D311yescharacteristic
289C5×C4⋊C4C22×D311yescharacteristic
290C5×C22⋊C4—61no—
291C42×C5—61no—
292C22⋊Dic5—61no—
293#685—61no—
294#685—61no—
295#685—61no—
296#685—61no—
297C4⋊Dic5—31no—
298C4⋊Dic5—31no—
299C4⋊Dic5—61no—
300C4⋊Dic5C22×D311yescharacteristic
301C4⋊Dic5C22×D311yescharacteristic
302#683—21no—
303#683—21no—
304#683—61no—
305#683—61no—
306C4×Dic5—61no—
307C4×Dic5—61no—
308C4×Dic5—61no—
309C4×Dic5—61no—
310C4×Dic5—61no—
311C2×#168—31no—
312C2×#168—34no—
313C2×#168C22×D311yescharacteristic
314#676—34no—
315#676—34no—
316C8×D5—34no—
317C8×D5C4×D314yescomplemented
318C2×#131—151no—
319#520—151no—
320#520—151no—
321#428—31no—
322#428—151no—
323#428—151no—
324#428—151no—
325#428—151no—
326#428—151no—
327#427—151no—
328#427—151no—
329#427—151no—
330C2×#106—51no—
331C2×#106—151no—
332C2×#106—151no—
333C22×C3×C5C22×D411yescharacteristic
334C2×D15—21no—
335C2×D15—21no—
336C2×D15C2×C4⋊C412yes—
337C2×C5×D3—21no—
338C2×C5×D3—21no—
339C2×C5×D3C2×C4⋊C412yes—
340C2×C3×D5—21no—
341C2×C3×D5—21no—
342C2×C3×D5C2×C4⋊C412yes—
343C3×C4×C5—41no—
344C3×C4×C5—41no—
345C3×C4×C5C23×C411yescharacteristic
346C3×C4×C5C22×Q811yescharacteristic
347Dic15—41no—
348Dic15—41no—
349Dic15C2×C4⋊C412yes—
350C3×Dic5—41no—
351C3×Dic5—41no—
352C3×Dic5C2×C4⋊C412yes—
353C5×Dic3—41no—
354C5×Dic3—41no—
355C5×Dic3C2×C4⋊C412yes—
356C22×C3×C4—51no—
357C22×C3×C4—101no—
358C22×C3×C4—101no—
359C2×#67—51no—
360C2×#67—51no—
361#235—54no—
362#235—54no—
363C2×D12—51no—
364C2×C4×D3—21no—
365C2×C4×D3—51no—
366C2×C4×D3—101no—
367C2×C4×D3—101no—
368C2×C4×D3—101no—
369C2×C4×D3C22×D511yescharacteristic
370C2×Dic6—51no—
371C2×C3×C8—51no—
372C2×C3×C8—54no—
373C2×C3×C8C22×D511yescharacteristic
374C3×C4⋊C4—51no—
375C3×C4⋊C4—51no—
376C3×C4⋊C4—101no—
377C3×C4⋊C4—101no—
378C3×C4⋊C4C22×D511yescharacteristic
379C3×C4⋊C4C22×D511yescharacteristic
380#217—101no—
381#217—101no—
382(C2×D3)⋊C4—21no—
383(C2×D3)⋊C4—101no—
384(C2×D3)⋊C4—101no—
385(C2×D3)⋊C4—101no—
386C4⋊Dic3—51no—
387C4⋊Dic3—51no—
388C4⋊Dic3C22×D511yescharacteristic
389C4⋊Dic3C22×D511yescharacteristic
390Dic3⋊C4—21no—
391Dic3⋊C4—101no—
392Dic3⋊C4—101no—
393Dic3⋊C4—101no—
394C4×Dic3—21no—
395C4×Dic3—101no—
396C4×Dic3—101no—
397C4×Dic3—101no—
398C4×Dic3—101no—
399C4×Dic3—101no—
400#208—54no—
401C2×C3⋊C8—51no—
402C2×C3⋊C8C22×D511yescharacteristic
403ΓL(1,𝔽25)—54no—
404ΓL(1,𝔽25)C4×D514yescomplemented
405D3×C8—54no—
406D3×C8—54no—
407C23×C5—31no—
408C22×D5—31no—
409C22×D5D3×D411yescharacteristic
410C2×C4×C5—21no—
411C2×C4×C5—21no—
412C2×C4×C5—31no—
413C2×C4×C5—32no—
414C2×C4×C5—32no—
415C2×C4×C5—61no—
416C2×C4×C5—61no—
417C2×C4×C5—241no—
418C2×C4×C5C23×D311yescharacteristic
419C22⋊D5—34no—
420C22⋊D5—34no—
421C2×Dic5—21no—
422C2×Dic5—21no—
423C2×Dic5—31no—
424C2×Dic5—61no—
425C2×Dic5—61no—
426C2×Dic5—241no—
427C2×Dic5D3×D411yescharacteristic
428D20—34no—
429C4×D5—32no—
430C4×D5—32no—
431C4×D5—81no—
432C4×D5—81no—
433C4×D5—241no—
434C4×D5—241no—
435C4×D5C2×C4×D312yes—
436C4×D5D3×Q812yes—
437Dic10—34no—
438C5×C8—32no—
439C5×C8C2×C4×D312yes—
440#168—32no—
441#168C2×C4×D312yes—
442C2×#41—151no—
443#131—158no—
444C2×M16—31no—
445C2×M16—151no—
446C2×M16—151no—
447C22×C8—51no—
448C22×C8—151no—
449C22×C8—151no—
450C4×Q8—301no—
451C4×Q8—301no—
452C4×D4—301no—
453C4×D4—301no—
454C4×D4—301no—
455C4×D4—301no—
456C4×D4—301no—
457C4×D4—301no—
458#117—31no—
459#117—151no—
460#117—151no—
461#117—151no—
462#117—151no—
463#117—151no—
464C2×C4⋊C4—31no—
465C2×C4⋊C4—51no—
466C2×C4⋊C4—51no—
467C2×C4⋊C4—151no—
468C2×C4⋊C4—151no—
469C2×C4⋊C4—151no—
470#107—31no—
471#107—31no—
472#107—151no—
473#107—151no—
474#107—151no—
475#107—151no—
476#106—31no—
477#106—51no—
478#106—51no—
479#106—51no—
480#106—151no—
481#106—151no—
482#106—151no—
483#106—151no—
484#106—151no—
485#106D3×D511yescharacteristic
486C2×C3×C5C22×C4⋊C411yescharacteristic
487C2×C3×C5#57711yescharacteristic
488C2×C3×C5#57711yescharacteristic
489D15—22no—
490C3×D5—22no—
491C5×D3—22no—
492C23×C3—51no—
493C22×D3—51no—
494C22×D3D4×D511yescharacteristic
495C2×C3×C4—21no—
496C2×C3×C4—21no—
497C2×C3×C4—51no—
498C2×C3×C4—52no—
499C2×C3×C4—52no—
500C2×C3×C4—101no—
501C2×C3×C4—101no—
502C2×C3×C4—401no—
503C2×C3×C4—401no—
504C2×C3×C4C23×D511yescharacteristic
505#67—54no—
506#67—54no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—51no—
510C2×Dic3—101no—
511C2×Dic3—101no—
512C2×Dic3D4×D511yescharacteristic
513D12—54no—
514C4×D3—52no—
515C4×D3—52no—
516C4×D3—81no—
517C4×D3—401no—
518C4×D3—401no—
519C4×D3—401no—
520C4×D3C2×C4×D512yes—
521C4×D3Q8×D512yes—
522Dic6—54no—
523C3×C8—52no—
524C3×C8C2×C4×D512yes—
525C3⋊C8—52no—
526C3⋊C8C2×C4×D512yes—
527C22×C5—32no—
528C22×C5—61no—
529C22×C5—61no—
530C22×C5C2×D3×D411yescharacteristic
531C2×D5—21no—
532C2×D5—21no—
533C2×D5—32no—
534C2×D5—61no—
535C2×D5—61no—
536C2×D5D3×C4⋊C412yes—
537C4×C5—32no—
538C4×C5—41no—
539C4×C5—41no—
540C4×C5—121no—
541C4×C5—121no—
542C4×C5C22×C4×D311yescharacteristic
543C4×C5C2×D3×Q811yescharacteristic
544Dic5—32no—
545Dic5—41no—
546Dic5—41no—
547Dic5—121no—
548Dic5—121no—
549Dic5D3×C4⋊C412yes—
550#41—154no—
551#41—154no—
552C2×Q8—151no—
553C2×D4—151no—
554C2×D4—151no—
555C2×D4—151no—
556C22×C4—31no—
557C22×C4—51no—
558C22×C4—61no—
559C22×C4—101no—
560C22×C4—101no—
561C22×C4—151no—
562C22×C4—301no—
563C22×C4—301no—
564C22×C4—301no—
565M16—34no—
566M16—154no—
567M16—154no—
568C2×C8—31no—
569C2×C8—51no—
570C2×C8—54no—
571C2×C8—154no—
572C2×C8—154no—
573C2×C8—151no—
574C2×C8C2×D3×D511yescharacteristic
575C4⋊C4—31no—
576C4⋊C4—31no—
577C4⋊C4—51no—
578C4⋊C4—51no—
579C4⋊C4—61no—
580C4⋊C4—101no—
581C4⋊C4—101no—
582C4⋊C4—151no—
583C4⋊C4—151no—
584C4⋊C4—301no—
585C4⋊C4—301no—
586C4⋊C4—301no—
587C4⋊C4C2×D3×D511yescharacteristic
588C4⋊C4C2×D3×D511yescharacteristic
589C22⋊C4—61no—
590C22⋊C4—301no—
591C22⋊C4—301no—
592C22⋊C4—301no—
593C22⋊C4—301no—
594C22⋊C4—301no—
595C42—61no—
596C42—301no—
597C42—301no—
598C42—301no—
599C42—301no—
600C42—301no—
601C3×C5#291211yescharacteristic, complemented, Hall
602C22×C3—52no—
603C22×C3—101no—
604C22×C3—101no—
605C22×C3C2×D4×D511yescharacteristic
606C2×D3—21no—
607C2×D3—21no—
608C2×D3—52no—
609C2×D3—101no—
610C2×D3—101no—
611C2×D3D5×C4⋊C412yes—
612C3×C4—41no—
613C3×C4—41no—
614C3×C4—52no—
615C3×C4—201no—
616C3×C4—201no—
617C3×C4C22×C4×D511yescharacteristic
618C3×C4C2×Q8×D511yescharacteristic
619Dic3—41no—
620Dic3—41no—
621Dic3—52no—
622Dic3—201no—
623Dic3—201no—
624Dic3D5×C4⋊C412yes—
625C2×C5—62no—
626C2×C5C2×D3×C4⋊C411yescharacteristic
627C2×C5#576211yescharacteristic
628C2×C5#576211yescharacteristic
629D5—22no—
630D5—62no—
631C23—31no—
632C23—51no—
633C23—151no—
634Q8—154no—
635D4—154no—
636D4—154no—
637D4—154no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—31no—
641C2×C4—32no—
642C2×C4—32no—
643C2×C4—51no—
644C2×C4—52no—
645C2×C4—52no—
646C2×C4—61no—
647C2×C4—61no—
648C2×C4—101no—
649C2×C4—101no—
650C2×C4—151no—
651C2×C4—152no—
652C2×C4—152no—
653C2×C4—241no—
654C2×C4—301no—
655C2×C4—301no—
656C2×C4—401no—
657C2×C4—401no—
658C2×C4—1201no—
659C2×C4—1201no—
660C2×C4—1201no—
661C2×C4C22×D3×D511yescharacteristic
662C8—32no—
663C8—52no—
664C8—152no—
665C8C4×D3×D512yes—
666C2×C3—102no—
667C2×C3C2×D5×C4⋊C411yescharacteristic
668C2×C3#6610911yescharacteristic
669C2×C3#6611211yescharacteristic
670D3—22no—
671D3—102no—
672C5#7911611yescharacteristic, complemented, Sylow
673C22—32no—
674C22—52no—
675C22—61no—
676C22—61no—
677C22—101no—
678C22—101no—
679C22—152no—
680C22—301no—
681C22—301no—
682C22D3×D4×D511yescharacteristic
683C4—32no—
684C4—41no—
685C4—41no—
686C4—52no—
687C4—121no—
688C4—121no—
689C4—152no—
690C4—201no—
691C4—201no—
692C4—601no—
693C4—601no—
694C4C2×C4×D3×D511yescharacteristic
695C4D3×Q8×D511yescharacteristic
696C3#1061094011yescharacteristic, complemented, Sylow
697C2—62no—
698C2—102no—
699C2—302no—
700C2D3×D5×C4⋊C411yescharacteristic
701C2#1175408111yescharacteristic
702C2#1175408411yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#106C22
socleC22×C3×C5C22×D4
prime radicalC2×#6771C22
cosocleC2×C3×C4×C5C24
hypercenter#106D3×D5
hypocenterC3×C5#2912
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

Complements

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

NH ≅ G/Ntype
4. #11750962C2semidirect
5. C5×#4861C2semidirect
6. C3×D5×#106C2semidirect
7. #11747672C2semidirect
8. #11747638C2semidirect
9. #11747628C2semidirect
10. #11747453C2semidirect
11. #11747452C2semidirect
12. #11747441C2semidirect
13. #11747440C2semidirect
14. #11747437C2semidirect
15. D3×#3940C2semidirect
44. #91266C4semidirect
76. D5×#106D3semidirect
101. #6705C2×C4semidirect
108. C5×ΓL(1,𝔽25)C2×C4semidirect
114. C3×C8×D5C2×C4semidirect
125. #6649C2×C4semidirect
126. #6648C2×C4semidirect
127. D3×#168C2×C4semidirect
138. #4861D5semidirect
317. C8×D5C4×D3semidirect
404. ΓL(1,𝔽25)C4×D5semidirect
601. C3×C5#2912semidirect
672. C5#79116semidirect
696. C3#10610940semidirect

Maximal subgroups

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

subgroupindex
C2×#912662
#117536682
#117536672
#117509622
C5×#48612
C3×D5×#1062
#117476722
#117476382
#117476282
#117474532
#117474522
#117474412
#117474402
#117474372
D3×#39402
#106109403
#791165