Finite Group Databasebeta

← #14417511

Subgroups — #14417511

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
1#11754910C211yesmaximal, characteristic
2C2×D5×#214C211yesmaximal, characteristic
3#11753397C211yesmaximal, characteristic, complemented
4#11750858C211yesmaximal, characteristic, complemented
5C5×#4758C211yesmaximal, characteristic, complemented
6C3×#65059C211yesmaximal, characteristic
7#11749019C211yesmaximal, characteristic, complemented
8#11749014C211yesmaximal, characteristic, complemented
9#11748122C211yesmaximal, characteristic, complemented
10#11748050C211yesmaximal, characteristic, complemented
11#11747739C211yesmaximal, characteristic, complemented
12#11747736C211yesmaximal, characteristic, complemented
13#11747433C211yesmaximal, characteristic, complemented
14#11747227C211yesmaximal, characteristic, complemented
15#11747222C211yesmaximal, characteristic, complemented
16#10611380—31nomaximal, Hall
17C2×C3×D4×D5C2211yescharacteristic
18C2×D5×Dic6C2211yescharacteristic
19D4×Dic15C2211yescharacteristic
20C2×#6716C2211yescharacteristic
21#91776C2211yescharacteristic, complemented
22C5×D4×Dic3C2211yescharacteristic
23C2×C5×#214C2211yescharacteristic
24C5×#887C2211yescharacteristic, complemented
25C2×C3×#676C2211yescharacteristic
26C3×#4038C2211yescharacteristic
27#91559—21no—
28Dic3×C22⋊D5—21no—
29D5×#217—21no—
30C2×#6665—21no—
31D5×#214C418yescomplemented
32C4×#1204—21no—
33#91434C2211yescharacteristic
34Dic3×D20C2211yescharacteristic
35#91394—21no—
36#91393—21no—
37#91358C2211yescharacteristic
38#91357C2211yescharacteristic
39#91344C2211yescharacteristic, complemented
40#91340C2211yescharacteristic, complemented
41#91323—21no—
42C2×#6657C2211yescharacteristic
43C2×#6655C2211yescharacteristic
44C2×D5×C3⋊C8C2211yescharacteristic
45C3×C5×#102C2211yescharacteristic
46#91100C2211yescharacteristic, complemented
47#91099C2211yescharacteristic, complemented
48#91091C2211yescharacteristic, complemented
49C5×#816C2211yescharacteristic, complemented
50C5×C8×Dic3C2211yescharacteristic, complemented
51C5×#808C2211yescharacteristic, complemented
52C3×#3964C2211yescharacteristic
53C3×#3953C2211yescharacteristic
54C3×#3941C2211yescharacteristic
55#90989C2211yescharacteristic, complemented
56#90987C2211yescharacteristic, complemented
57#90975C2211yescharacteristic, complemented
58#90973C2211yescharacteristic, complemented
59#90953C2211yescharacteristic, complemented
60#90951C2211yescharacteristic, complemented
61#78916—51nomaximal, Hall
62C2×D5×SD16—31no—
63#65906—31no—
64#65879—31no—
65C4×C5×SD16—31no—
66SD16×Dic5—31no—
67#65315—31no—
68#65307—31no—
69#65149—31no—
70#65141—31no—
71#65106—31no—
72#65091—31no—
73#65059D311yescharacteristic
74#65046—31no—
75C4×#677—31no—
76#64978—31no—
77C23×C3×D5—21no—
78C2×C3×C5×D4C2311yescharacteristic
79C22×Dic15—21no—
80C2×Dic30C2311yescharacteristic
81C22×C5×Dic3—21no—
82C2×C5×Dic6C2311yescharacteristic
83C2×C3×C22⋊D5—21no—
84C3×D4×D5—22no—
85C3×D4×D5C2×C414yes—
86C2×C3×D20C2311yescharacteristic
87C2×C3×C4×D5C2311yescharacteristic
88C2×#1204—21no—
89C2×D5×Dic3—21no—
90C2×D5×Dic3—21no—
91C2×D5×Dic3—21no—
92D5×Dic6—22no—
93D5×Dic6C2×C414yescomplemented
94C2×C3×C5×C8C2311yescharacteristic
95C3×C5×C4⋊C4C2311yescharacteristic
96#6719—21no—
97#6716C2×C414yescomplemented
98C4⋊Dic15C2311yescharacteristic
99#6712—21no—
100C4×Dic15—21no—
101C4×Dic15C2311yescharacteristic
102C2×C3⋊#168C2311yescharacteristic
103C5×#217—21no—
104C5×#214C2×C414yescomplemented
105C5×C4⋊Dic3C2311yescharacteristic
106C5×Dic3⋊C4—21no—
107C4×C5×Dic3—21no—
108C4×C5×Dic3C2311yescharacteristic
109C2×C5×C3⋊C8C2311yescharacteristic
110C3×#685—21no—
111C3×C4⋊Dic5C2311yescharacteristic
112C3×C4×Dic5—21no—
113C2×C3×#168C2311yescharacteristic
114C3×#676—22no—
115Dic3⋊Dic5—21no—
116#6669—21no—
117#6668D411yescharacteristic
118#6668D411yescharacteristic
119#6665—21no—
120#6665—21no—
121#6665—21no—
122#6665D411yescharacteristic
123#6665D411yescharacteristic
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127#6657C2×C414yescomplemented
128#6655C2×C414yescomplemented
129D5×C3⋊C8C2×C414yescomplemented
130#5798—51no—
131C22×#214—51no—
132#5516—51no—
133C3×#418—51no—
134#5122—51no—
135#5120—51no—
136#4998—51no—
137#4758—51no—
138#4758—51no—
139#4758—51no—
140#4758D511yescharacteristic, complemented
141#4757—51no—
142#4757—51no—
143#4757—51no—
144#4757—51no—
145C2×Q8×D5—31no—
146C2×D4×D5C2×D311yescharacteristic
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×D5—31no—
160#4039—31no—
161#4038—31no—
162#4038—61no—
163#4038C2×D311yescharacteristic
164#4033—31no—
165#4033—61no—
166#4027—61no—
167D5×C22⋊C4—61no—
168C4×D20—31no—
169#4018—31no—
170#4018—61no—
171C4×Dic10—31no—
172C4×Dic10—61no—
173C5×#106—31no—
174C5×#103—31no—
175C5×#102C2×D311yescharacteristic
176C4×C5×C8—31no—
177#3967—31no—
178#3964C2×D311yescharacteristic
179#3953C2×D311yescharacteristic
180#3949—31no—
181#3948—31no—
182#3947—31no—
183C8×Dic5—31no—
184#3942—31no—
185#3941C2×D311yescharacteristic
186#3939—31no—
187#3939—31no—
188#3935—31no—
189#2949—151noSylow
190C23×C3×C5—21no—
191C22×C3×D5—21no—
192C22×C3×D5—24no—
193C22×C3×D5—81no—
194C22×C3×D5—81no—
195C22×C3×D5C2×D411yescharacteristic
196C3×C5×D4—21no—
197C3×C5×D4C22×C412yes—
198C2×C3×C4×C5—21no—
199C2×C3×C4×C5C2411yescharacteristic
200C2×Dic15—21no—
201C2×Dic15—21no—
202C2×Dic15—81no—
203C2×Dic15C2×D411yescharacteristic
204C2×Dic15C2×D411yescharacteristic
205Dic30—21no—
206Dic30C22×C412yes—
207C2×C5×Dic3—21no—
208C2×C5×Dic3—21no—
209C2×C5×Dic3—81no—
210C2×C5×Dic3C2×D411yescharacteristic
211C2×C5×Dic3C2×D411yescharacteristic
212C5×Dic6—21no—
213C5×Dic6C22×C412yes—
214C3×C22⋊D5—24no—
215C2×C3×Dic5—21no—
216C2×C3×Dic5C2×D411yescharacteristic
217C3×D20—21no—
218C3×D20C22×C412yes—
219C3×C4×D5C22×C412yes—
220C3×C4×D5#4112yes—
221#1204—24no—
222D5×Dic3—24no—
223D5×Dic3—81no—
224D5×Dic3—81no—
225C3×C5×C8—21no—
226C3⋊#168C22×C412yes—
227C3×#168—21no—
228C5×C3⋊C8C22×C412yes—
229C22×C3×D4—51no—
230C22×Dic6—51no—
231C2×C3×M16—51no—
232C3×#117—51no—
233C2×#217—101no—
234C2×#217—101no—
235D4×Dic3—51no—
236D4×Dic3—51no—
237D4×Dic3—51no—
238D4×Dic3—101no—
239D4×Dic3—101no—
240D4×Dic3C2×D511yescharacteristic
241C2×#214—51no—
242C2×#214—51no—
243C2×#214—58no—
244C2×#214—51no—
245C2×#214C2×D511yescharacteristic
246#926—51no—
247#926—51no—
248C22×C3⋊C8—51no—
249#887—51no—
250#887—51no—
251#887—51no—
252#887C2×D511yescharacteristic, complemented
253#877—101no—
254#877—101no—
255C4×Dic6—101no—
256C4×Dic6—101no—
257C3×#102—51no—
258C3×#102—51no—
259C3×#102—51no—
260C3×#102C2×D511yescharacteristic
261#816—51no—
262#816—51no—
263#816—51no—
264#816C2×D511yescharacteristic, complemented
265#815—51no—
266#815—51no—
267C8×Dic3—51no—
268C8×Dic3C2×D511yescharacteristic, complemented
269#808—51no—
270#808C2×D511yescharacteristic, complemented
271#807—51no—
272#807—51no—
273C23×D5—21no—
274C2×C5×Q8—31no—
275C2×C5×D4C22×D311yescharacteristic
276C22×C4×C5—61no—
277C2×C22⋊D5—21no—
278C22×Dic5—61no—
279Q8×D5—34no—
280Q8×D5—62no—
281D4×D5—22no—
282D4×D5C4×D314yes—
283C2×D20C22×D311yescharacteristic
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×C8—31no—
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—31no—
294C5×C4⋊C4—61no—
295C5×C4⋊C4C22×D311yescharacteristic
296C5×C22⋊C4—61no—
297C42×C5—31no—
298C42×C5—61no—
299C22⋊Dic5—61no—
300#688—34no—
301#687—34no—
302#685—21no—
303#685—31no—
304#685—31no—
305#685—61no—
306#685—61no—
307#685—61no—
308C4⋊Dic5—31no—
309C4⋊Dic5—61no—
310C4⋊Dic5C22×D311yescharacteristic
311#683—31no—
312#683—31no—
313#683—61no—
314#683—61no—
315C4×Dic5—21no—
316C4×Dic5—31no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C2×#168—31no—
322C2×#168C22×D311yescharacteristic
323#677—34no—
324#676—22no—
325C8×D5—34no—
326C22×SD16—151no—
327#519—151no—
328#518—151no—
329#440—151no—
330#440—151no—
331#440—151no—
332#440—151no—
333C4×SD16—31no—
334C4×SD16—151no—
335C4×SD16—151no—
336C4×SD16—151no—
337#427—151no—
338#419—151no—
339#418—51no—
340#405—151no—
341C22×C3×C5—22no—
342C22×C3×C5—41no—
343C22×C3×C5—41no—
344C22×C3×C5C22×D411yescharacteristic
345C2×C3×D5—21no—
346C2×C3×D5—21no—
347C2×C3×D5—22no—
348C2×C3×D5—41no—
349C2×C3×D5—41no—
350C2×C3×D5—84no—
351C2×C3×D5C4×D412yes—
352C3×C4×C5—41no—
353C3×C4×C5C23×C411yescharacteristic
354C3×C4×C5C2×#4111yescharacteristic
355Dic15—22no—
356Dic15—21no—
357Dic15—21no—
358Dic15—41no—
359C3×Dic5—41no—
360C3×Dic5C4×D412yes—
361C5×Dic3—22no—
362C5×Dic3—21no—
363C5×Dic3—21no—
364C5×Dic3—41no—
365C24×C3—101no—
366C2×C3×D4—54no—
367C2×C3×D4—51no—
368C2×C3×D4—102no—
369C2×C3×D4—101no—
370C2×C3×D4C22×D511yescharacteristic
371C22×C3×C4—51no—
372C22×Dic3—21no—
373C22×Dic3—101no—
374C22×Dic3—101no—
375C22×Dic3—101no—
376C22×Dic3—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×C8C22×D511yescharacteristic
385C3×C4⋊C4—51no—
386C3×C4⋊C4C22×D511yescharacteristic
387C3×C22⋊C4—101no—
388C3×C42—101no—
389#217—21no—
390#217—51no—
391#217—51no—
392#217—101no—
393#217—101no—
394#217—101no—
395#217—101no—
396#214—54no—
397#214—54no—
398#214—54no—
399#214C4×D514yescomplemented
400C4⋊Dic3—51no—
401C4⋊Dic3—51no—
402C4⋊Dic3—51no—
403C4⋊Dic3C22×D511yescharacteristic
404Dic3⋊C4—21no—
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407Dic3⋊C4—101no—
408C4×Dic3—21no—
409C4×Dic3—51no—
410C4×Dic3—101no—
411C4×Dic3—101no—
412C4×Dic3—101no—
413C4×Dic3—101no—
414C4×Dic3C22×D511yescharacteristic
415C2×C3⋊C8—51no—
416C2×C3⋊C8—54no—
417C2×C3⋊C8C22×D511yescharacteristic
418C23×C5—21no—
419C22×D5—21no—
420C22×D5—24no—
421C22×D5—81no—
422C22×D5—81no—
423C22×D5D3×D411yescharacteristic
424C5×Q8—32no—
425C5×Q8—61no—
426C5×D4—21no—
427C5×D4C2×C4×D312yes—
428C2×C4×C5—21no—
429C2×C4×C5—31no—
430C2×C4×C5—31no—
431C2×C4×C5—61no—
432C2×C4×C5—61no—
433C2×C4×C5—241no—
434C2×C4×C5C23×D311yescharacteristic
435C22⋊D5—24no—
436C2×Dic5—21no—
437C2×Dic5—31no—
438C2×Dic5—31no—
439C2×Dic5—61no—
440C2×Dic5—61no—
441C2×Dic5—241no—
442C2×Dic5D3×D411yescharacteristic
443D20—21no—
444D20C2×C4×D312yes—
445C4×D5—64no—
446C4×D5—241no—
447C4×D5—241no—
448C4×D5C2×C4×D312yes—
449C4×D5#23712yes—
450Dic10—32no—
451Dic10—61no—
452Dic10—64no—
453C5×C8—21no—
454C5×C8—32no—
455#168—21no—
456#168—32no—
457C22×Q8—151no—
458C22×D4—51no—
459C2×SD16—31no—
460C2×SD16—151no—
461C2×SD16—158no—
462C2×SD16—151no—
463C2×SD16—151no—
464C2×M16—51no—
465C22×C8—151no—
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—151no—
486#107—151no—
487#106—31no—
488#106—151no—
489#103—31no—
490#103—151no—
491#103—151no—
492#103—151no—
493#102—51no—
494#102—51no—
495#102—51no—
496#102D3×D511yescharacteristic
497#97—151no—
498#97—151no—
499C4×C8—31no—
500C4×C8—151no—
501C2×C3×C5—42no—
502C2×C3×C5C2×C4×D411yescharacteristic
503C2×C3×C5#57711yescharacteristic
504C2×C3×C5#57711yescharacteristic
505C3×D5—22no—
506C3×D5—42no—
507C23×C3—21no—
508C23×C3—51no—
509C23×C3—104no—
510C23×C3—101no—
511C23×C3—401no—
512C23×C3—401no—
513C3×D4—21no—
514C3×D4—52no—
515C3×D4—104no—
516C3×D4—101no—
517C3×D4C2×C4×D512yes—
518C2×C3×C4—21no—
519C2×C3×C4—51no—
520C2×C3×C4—52no—
521C2×C3×C4—52no—
522C2×C3×C4—101no—
523C2×C3×C4C23×D511yescharacteristic
524C2×Dic3—21no—
525C2×Dic3—21no—
526C2×Dic3—51no—
527C2×Dic3—51no—
528C2×Dic3—81no—
529C2×Dic3—104no—
530C2×Dic3—101no—
531C2×Dic3—101no—
532C2×Dic3—401no—
533C2×Dic3—401no—
534C2×Dic3—401no—
535C2×Dic3D4×D511yescharacteristic
536C2×Dic3D4×D511yescharacteristic
537Dic6—21no—
538Dic6—52no—
539Dic6—104no—
540Dic6—101no—
541Dic6C2×C4×D512yes—
542C3×C8—21no—
543C3×C8—101no—
544C3⋊C8—52no—
545C3⋊C8C2×C4×D512yes—
546C22×C5—22no—
547C22×C5—41no—
548C22×C5—41no—
549C22×C5C2×D3×D411yescharacteristic
550C2×D5—21no—
551C2×D5—21no—
552C2×D5—22no—
553C2×D5—41no—
554C2×D5—41no—
555C2×D5—84no—
556C2×D5#67⋊C412yes—
557C4×C5—41no—
558C4×C5—62no—
559C4×C5—61no—
560C4×C5—61no—
561C4×C5—121no—
562C4×C5C22×C4×D311yescharacteristic
563C4×C5C2×#23711yescharacteristic
564Dic5—41no—
565Dic5—62no—
566Dic5—61no—
567Dic5—61no—
568Dic5—121no—
569Dic5#67⋊C412yes—
570C24—101no—
571C2×Q8—31no—
572C2×Q8—154no—
573C2×Q8—151no—
574C2×Q8—301no—
575C2×Q8—302no—
576C2×D4—54no—
577C2×D4—51no—
578C2×D4—102no—
579C2×D4—101no—
580C2×D4C2×D3×D511yescharacteristic
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—31no—
593C2×C8—51no—
594C2×C8—154no—
595C2×C8—151no—
596C2×C8C2×D3×D511yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—51no—
599C4⋊C4—61no—
600C4⋊C4—151no—
601C4⋊C4—151no—
602C4⋊C4—151no—
603C4⋊C4—301no—
604C4⋊C4—301no—
605C4⋊C4—301no—
606C4⋊C4C2×D3×D511yescharacteristic
607C22⋊C4—61no—
608C22⋊C4—101no—
609C22⋊C4—151no—
610C22⋊C4—151no—
611C22⋊C4—301no—
612C22⋊C4—301no—
613C22⋊C4—301no—
614C22⋊C4—301no—
615C42—31no—
616C42—61no—
617C42—101no—
618C42—151no—
619C42—301no—
620C42—301no—
621C42—301no—
622C42—301no—
623C3×C5#294911yescharacteristic, complemented, Hall
624C22×C3—22no—
625C22×C3—41no—
626C22×C3—41no—
627C22×C3—52no—
628C22×C3—101no—
629C22×C3—101no—
630C22×C3—102no—
631C22×C3—201no—
632C22×C3—201no—
633C22×C3—404no—
634C22×C3C2×D4×D511yescharacteristic
635C3×C4—41no—
636C3×C4—52no—
637C3×C4—201no—
638C3×C4C22×C4×D511yescharacteristic
639C3×C4D5×#4111yescharacteristic
640Dic3—21no—
641Dic3—21no—
642Dic3—22no—
643Dic3—41no—
644Dic3—101no—
645Dic3—101no—
646Dic3—102no—
647Dic3—201no—
648C2×C5—42no—
649C2×C5C2×#67⋊C411yescharacteristic
650C2×C5#577511yescharacteristic
651C2×C5#577511yescharacteristic
652D5—22no—
653D5—42no—
654C23—21no—
655C23—51no—
656C23—104no—
657C23—101no—
658C23—401no—
659C23—401no—
660Q8—32no—
661Q8—61no—
662Q8—152no—
663Q8—304no—
664Q8—301no—
665D4—21no—
666D4—52no—
667D4—104no—
668D4—101no—
669D4C4×D3×D512yes—
670C2×C4—21no—
671C2×C4—31no—
672C2×C4—31no—
673C2×C4—51no—
674C2×C4—52no—
675C2×C4—52no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—101no—
679C2×C4—151no—
680C2×C4—151no—
681C2×C4—241no—
682C2×C4—304no—
683C2×C4—301no—
684C2×C4—301no—
685C2×C4—1201no—
686C2×C4—1201no—
687C2×C4—1201no—
688C2×C4C22×D3×D511yescharacteristic
689C8—21no—
690C8—32no—
691C8—101no—
692C8—152no—
693C2×C3—42no—
694C2×C3—102no—
695C2×C3—202no—
696C2×C3C4×D4×D511yescharacteristic
697C2×C3#6609611yescharacteristic
698C2×C3#6610411yescharacteristic
699C5#7891611yescharacteristic, complemented, Sylow
700C22—22no—
701C22—41no—
702C22—41no—
703C22—52no—
704C22—101no—
705C22—101no—
706C22—102no—
707C22—201no—
708C22—201no—
709C22—404no—
710C22D3×D4×D511yescharacteristic
711C4—41no—
712C4—52no—
713C4—61no—
714C4—61no—
715C4—62no—
716C4—121no—
717C4—201no—
718C4—301no—
719C4—301no—
720C4—302no—
721C4—601no—
722C4C2×C4×D3×D511yescharacteristic
723C4D5×#23711yescharacteristic
724C3#1061138011yescharacteristic, complemented, Sylow
725C2—42no—
726C2—102no—
727C2—202no—
728C2D5×#67⋊C411yescharacteristic
729C2#1175406011yescharacteristic
730C2#1175408211yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#102C22
socleC22×C3×C5C22×D4
prime radicalC2×C3×D4×D5C22
cosocleC2×C3×C4×C5C24
hypercenter#102D3×D5
hypocenterC3×C5#2949
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
3. #11753397C2semidirect
4. #11750858C2semidirect
5. C5×#4758C2semidirect
7. #11749019C2semidirect
8. #11749014C2semidirect
9. #11748122C2semidirect
10. #11748050C2semidirect
11. #11747739C2semidirect
12. #11747736C2semidirect
13. #11747433C2semidirect
14. #11747227C2semidirect
15. #11747222C2semidirect
21. #91776C22semidirect
24. C5×#887C22semidirect
31. D5×#214C4semidirect
39. #91344C22semidirect
40. #91340C22semidirect
46. #91100C22semidirect
47. #91099C22semidirect
48. #91091C22semidirect
49. C5×#816C22semidirect
50. C5×C8×Dic3C22semidirect
51. C5×#808C22semidirect
55. #90989C22semidirect
56. #90987C22semidirect
57. #90975C22semidirect
58. #90973C22semidirect
59. #90953C22semidirect
60. #90951C22semidirect
93. D5×Dic6C2×C4semidirect
97. #6716C2×C4semidirect
104. C5×#214C2×C4semidirect
127. #6657C2×C4semidirect
128. #6655C2×C4semidirect
129. D5×C3⋊C8C2×C4semidirect
140. #4758D5semidirect
252. #887C2×D5semidirect
264. #816C2×D5semidirect
268. C8×Dic3C2×D5semidirect
270. #808C2×D5semidirect
399. #214C4×D5semidirect
623. C3×C5#2949semidirect
699. C5#78916semidirect
724. C3#10611380semidirect

Maximal subgroups

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

subgroupindex
#117549102
C2×D5×#2142
#117533972
#117508582
C5×#47582
C3×#650592
#117490192
#117490142
#117481222
#117480502
#117477392
#117477362
#117474332
#117472272
#117472222
#106113803
#789165