Finite Group Databasebeta

← #14458766

Subgroups — #14458766

Order 1920.

816 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#66028C211yesmaximal, characteristic, complemented
2#11752748C211yesmaximal, characteristic
3#11751167C211yesmaximal, characteristic, complemented
4C5×#5068C211yesmaximal, characteristic, complemented
5#11747513C211yesmaximal, characteristic, complemented
6#11747501C211yesmaximal, characteristic, complemented
7#11747481C211yesmaximal, characteristic, complemented
8D5×#809C211yesmaximal, characteristic, complemented
9#11747341C211yesmaximal, characteristic, complemented
10#11747338C211yesmaximal, characteristic, complemented
11#11747310C211yesmaximal, characteristic, complemented
12#11747309C211yesmaximal, characteristic, complemented
13#11747061C211yesmaximal, characteristic, complemented
14C4×#6658C211yesmaximal, characteristic, complemented
15C3⋊C8×D20C211yesmaximal, characteristic, complemented
16#10613383—31nomaximal, Hall
17C2×D5×D12C2211yescharacteristic
18C2×#6773C2211yescharacteristic
19C3×C5×#125C2211yescharacteristic, complemented
20C4×D60C2211yescharacteristic
21C5×#875C2211yescharacteristic
22C3×#4044—21no—
23C3×#4043C2211yescharacteristic
24C3×#4043C2211yescharacteristic, complemented
25C3×#4040—21no—
26C3×#4038—21no—
27C3×#4038C2211yescharacteristic, complemented
28C3×D5×C4⋊C4C2211yescharacteristic
29C3×#4036—21no—
30C3×C4×D20C2211yescharacteristic
31C3×C4×Dic10C2211yescharacteristic, complemented
32#91474—21no—
33#91473—21no—
34#91461—21no—
35#91449C2211yescharacteristic
36#91438—21no—
37#91359C2211yescharacteristic
38C2×#6661C2211yescharacteristic, complemented
39C2×#6658C2211yescharacteristic
40C2×#6656C2211yescharacteristic
41C2×D5×C3⋊C8C2211yescharacteristic
42C2×D5×C3⋊C8C2211yescharacteristic, complemented
43#91093C2211yescharacteristic
44#91093C2211yescharacteristic
45#91092C2211yescharacteristic, complemented
46#91091C2211yescharacteristic, complemented
47C4⋊(C3⋊#168)C2211yescharacteristic, complemented
48C5×#810C2211yescharacteristic, complemented
49C5×#810C2211yescharacteristic, complemented
50C5×#809C2211yescharacteristic
51C5×#809C2211yescharacteristic
52C4×C5×C3⋊C8C2211yescharacteristic, complemented
53#90987C2211yescharacteristic, complemented
54#90972C2211yescharacteristic, complemented
55#90971C2211yescharacteristic, complemented
56#90968C2211yescharacteristic
57#90966C2211yescharacteristic
58#90955C2211yescharacteristic
59#90955C2211yescharacteristic, complemented
60#83598—51nomaximal, Hall
61#66028D311yescharacteristic, complemented
62#66010—31no—
63C5×#488—31no—
64#65355—31no—
65#65343—31no—
66#65102—31no—
67#65099—31no—
68#65094—31no—
69#65093—31no—
70#65068—31no—
71#65067—31no—
72#65065—31no—
73D5×#102—31no—
74C4×#677—31no—
75C8×D20—31no—
76C22×D3×D5—21no—
77C2×D60C2311yescharacteristic
78C2×C4×D15—21no—
79C2×C5×D12C2311yescharacteristic
80C2×C5×Dic6C2311yescharacteristic
81C2×C3×D20D411yescharacteristic
82C2×C3×C4×D5—21no—
83C2×C3×C4×D5C2311yescharacteristic
84C2×C3×C4×D5C2311yescharacteristic
85C2×C3×Dic10C2311yescharacteristic
86C2×#1203—21no—
87C2×#1202—21no—
88C2×#1201—21no—
89C2×#1200—21no—
90D5×D12—22no—
91D5×D12—41no—
92#6773—22no—
93#6773—41no—
94C3×C5×C4⋊C4—21no—
95C3×C5×C4⋊C4—21no—
96C3×C5×C4⋊C4C2311yescharacteristic
97C3×C5×C4⋊C4C2311yescharacteristic
98C3×C42×C5C2311yescharacteristic
99#6714—21no—
100C4⋊Dic15C2311yescharacteristic
101C2×C3⋊#168C2311yescharacteristic
102C2×C3⋊#168C2311yescharacteristic
103C5×(C2×D3)⋊C4—21no—
104C5×(C2×D3)⋊C4—21no—
105C2×C5×C3⋊C8C2311yescharacteristic
106C2×C5×C3⋊C8C2311yescharacteristic
107C3×#685—21no—
108C3×#685—21no—
109C3×#685—21no—
110C3×#685D411yescharacteristic
111C3×#685D411yescharacteristic
112C3×C4⋊Dic5—21no—
113C3×C4⋊Dic5—21no—
114C3×C4⋊Dic5D411yescharacteristic
115C3×C4⋊Dic5C2311yescharacteristic
116C3×#683—21no—
117C3×#683—21no—
118C3×C4×Dic5—21no—
119C3×C4×Dic5—21no—
120#6669—21no—
121(C2×D3)⋊Dic5—21no—
122#6665—21no—
123#6661—41no—
124#6658—22no—
125#6656—41no—
126D5×C3⋊C8—41no—
127D5×C3⋊C8—41no—
128C3×#552—51no—
129#5550—51no—
130#5068D511yescharacteristic, complemented
131#5066—51no—
132#5051—51no—
133#5048—51no—
134#5047—51no—
135#5046—51no—
136#5028—51no—
137C4×#215—51no—
138D4×C3⋊C8—51no—
139#5003—51no—
140#5002—51no—
141#4971—51no—
142C2×#809—51no—
143C2×#713—31no—
144C2×D4×D5—31no—
145C5×#125C2×D311yescharacteristic, complemented
146C5×#124—31no—
147#4092—31no—
148C2×#689—31no—
149#4084—31no—
150C2×#687—31no—
151C2×#677—31no—
152C2×C8×D5—31no—
153C2×C8×D5—31no—
154#4044—21no—
155#4043C2×D311yescharacteristic
156#4043C2×D311yescharacteristic, complemented
157#4040—21no—
158#4038—21no—
159#4038C2×D311yescharacteristic, complemented
160D5×C4⋊C4C2×D311yescharacteristic
161#4036—21no—
162#4030—61no—
163#4029—61no—
164#4028—61no—
165D5×C22⋊C4—61no—
166C4×D20—31no—
167C4×D20C2×D311yescharacteristic
168C4×Dic10C2×D311yescharacteristic, complemented
169C5×#103—31no—
170C5×#103—31no—
171C5×#102—31no—
172C5×#102—31no—
173C4×C5×C8—31no—
174#3967—31no—
175#3964—31no—
176#3953—31no—
177#3952—31no—
178#3952—31no—
179#3949—31no—
180#3948—31no—
181#3941—31no—
182#3941—31no—
183#3940—31no—
184#3939—31no—
185C4⋊#168—31no—
186#3296—151noSylow
187C22×D15—21no—
188C22×C5×D3—21no—
189C22×C3×D5C2×D411yescharacteristic
190C22×C3×D5C2×D411yescharacteristic
191C2×D3×D5—42no—
192C2×D3×D5—42no—
193C2×D3×D5—81no—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2411yescharacteristic
199C2×Dic15—21no—
200D60—21no—
201D60#4112yes—
202C4×D15—81no—
203C2×C5×Dic3—21no—
204C5×D12—21no—
205C5×D12—21no—
206C5×Dic6—21no—
207C5×Dic6—21no—
208C2×C3×Dic5—21no—
209C2×C3×Dic5—21no—
210C2×C3×Dic5C2×D411yescharacteristic
211C2×C3×Dic5C2×D411yescharacteristic
212C3×D20—22no—
213C3×C4×D5—21no—
214C3×C4×D5—21no—
215C3×C4×D5—21no—
216C3×C4×D5—21no—
217C3×C4×D5—42no—
218C3×Dic10—21no—
219C3×Dic10—21no—
220#1203—42no—
221#1202—42no—
222#1201—81no—
223#1200—42no—
224C3⋊#168—21no—
225C3⋊#168—21no—
226C5×C3⋊C8—21no—
227C5×C3⋊C8—21no—
228C2×#235—51no—
229C22×D12—51no—
230C3×#126—101no—
231C3×#125—101no—
232C3×#125C2×D511yescharacteristic, complemented
233C3×#123—101no—
234C3×C22⋊Q8—51no—
235C3×C22⋊Q8—51no—
236C3×C4×Q8—51no—
237C3×C4×D4—51no—
238C3×#117—51no—
239C3×#117—101no—
240C2×C3×C4⋊C4—51no—
241C2×#216—51no—
242C2×#215—51no—
243C2×#215—51no—
244#937—101no—
245#930—51no—
246#924—51no—
247C22×C3⋊C8—51no—
248C22×C3⋊C8—51no—
249#894—101no—
250#884—101no—
251D3×C22⋊C4—101no—
252#875C2×D511yescharacteristic
253C4×D12—51no—
254#835—51no—
255#830—51no—
256#830—51no—
257#810—51no—
258#810C2×D511yescharacteristic, complemented
259#810C2×D511yescharacteristic, complemented
260#809—51no—
261#809—51no—
262#809—51no—
263#809—51no—
264#809C2×D511yescharacteristic
265#809C2×D511yescharacteristic
266#808—51no—
267#808—51no—
268#807—51no—
269C4⋊(C3⋊C8)—51no—
270C4×C3⋊C8C2×D511yescharacteristic, complemented
271C23×D5—61no—
272C2×C5×Q8—31no—
273C2×C5×D4—31no—
274C2×C22⋊D5—61no—
275C2×C22⋊D5—61no—
276#713—62no—
277#713—121no—
278D4×D5—62no—
279D4×D5—121no—
280C2×D20—31no—
281C2×D20—61no—
282C2×D20#6711yescharacteristic
283C2×C4×D5—21no—
284C2×C4×D5—61no—
285C2×C4×D5—61no—
286C2×C4×D5C22×D311yescharacteristic
287C2×C4×D5C22×D311yescharacteristic
288C2×Dic10C22×D311yescharacteristic
289C2×C5×C8—31no—
290C2×C5×C8—31no—
291C5×C4⋊C4—21no—
292C5×C4⋊C4—21no—
293C5×C4⋊C4C22×D311yescharacteristic
294C5×C4⋊C4C22×D311yescharacteristic
295C5×C22⋊C4—61no—
296C5×C22⋊C4—61no—
297C42×C5C22×D311yescharacteristic
298C22⋊Dic5—61no—
299#689—121no—
300#687—121no—
301#685—21no—
302#685—21no—
303#685—21no—
304#685—61no—
305#685—61no—
306#685#6711yescharacteristic
307#685#6711yescharacteristic
308C4⋊Dic5—21no—
309C4⋊Dic5—21no—
310C4⋊Dic5—31no—
311C4⋊Dic5#6711yescharacteristic
312C4⋊Dic5C22×D311yescharacteristic
313#683—21no—
314#683—21no—
315#683—61no—
316C4×Dic5—21no—
317C4×Dic5—21no—
318C2×#168—31no—
319C2×#168—31no—
320#677—62no—
321C8×D5—121no—
322C8×D5—121no—
323#552—51no—
324#546—151no—
325#488—31no—
326#483—151no—
327#482—151no—
328#478—151no—
329#467—151no—
330#465—151no—
331#464—151no—
332#452—151no—
333#450—151no—
334C4×SD16—151no—
335C8×D4—151no—
336#416—151no—
337C2×#102—151no—
338C22×C3×C5C22×D411yescharacteristic
339C2×D15—22no—
340C2×D15—41no—
341C2×D15—41no—
342C2×C5×D3—41no—
343C2×C5×D3—41no—
344C2×C5×D3—41no—
345C2×C3×D5—21no—
346C2×C3×D5—21no—
347C2×C3×D5—21no—
348C2×C3×D5—21no—
349C2×C3×D5—21no—
350C2×C3×D5#13512yes—
351D3×D5—84no—
352C3×C4×C5—21no—
353C3×C4×C5—21no—
354C3×C4×C5—41no—
355C3×C4×C5—41no—
356C3×C4×C5C2×#4111yescharacteristic
357C3×C4×C5H(5,𝔽2)11yescharacteristic
358Dic15—41no—
359C3×Dic5—21no—
360C3×Dic5—21no—
361C3×Dic5—41no—
362C3×Dic5—41no—
363C5×Dic3—41no—
364C23×D3—101no—
365C2×C3×Q8—51no—
366C2×C3×D4—51no—
367C22×C3×C4—51no—
368C22×C3×C4—51no—
369C22×C3×C4—101no—
370C2×#67—101no—
371C2×#67—101no—
372#235—102no—
373#235—201no—
374C2×D12—51no—
375C2×D12—102no—
376C2×D12—101no—
377C2×D12—201no—
378C2×D12C22×D511yescharacteristic
379C2×C4×D3—101no—
380C2×C4×D3—101no—
381C2×Dic6C22×D511yescharacteristic
382C3×C4⋊C4—21no—
383C3×C4⋊C4—21no—
384C3×C4⋊C4—51no—
385C3×C4⋊C4—51no—
386C3×C4⋊C4—101no—
387C3×C4⋊C4—101no—
388C3×C4⋊C4—101no—
389C3×C4⋊C4—101no—
390C3×C4⋊C4C22×D511yescharacteristic
391C3×C4⋊C4C22×D511yescharacteristic
392C3×C22⋊C4—51no—
393C3×C22⋊C4—51no—
394C3×C22⋊C4—101no—
395C3×C22⋊C4—101no—
396C3×C22⋊C4—101no—
397C3×C42—101no—
398C3×C42—101no—
399C3×C42C22×D511yescharacteristic
400#217—101no—
401#216—201no—
402#215—102no—
403#215—201no—
404(C2×D3)⋊C4—21no—
405(C2×D3)⋊C4—21no—
406(C2×D3)⋊C4—101no—
407(C2×D3)⋊C4—101no—
408C4⋊Dic3—51no—
409Dic3⋊C4—101no—
410C2×C3⋊C8—51no—
411C2×C3⋊C8—51no—
412C2×C3⋊C8—201no—
413C2×C3⋊C8—201no—
414C2×C3⋊C8C22×D511yescharacteristic
415C2×C3⋊C8C22×D511yescharacteristic
416C23×C5—61no—
417C22×D5—61no—
418C22×D5—122no—
419C22×D5—122no—
420C22×D5—241no—
421C22×D5C2×#6711yescharacteristic
422C22×D5C2×#6711yescharacteristic
423C5×Q8—61no—
424C5×Q8—61no—
425C5×D4—61no—
426C5×D4—61no—
427C2×C4×C5—21no—
428C2×C4×C5—21no—
429C2×C4×C5—61no—
430C2×C4×C5C2×#6711yescharacteristic
431C2×C4×C5C2×#6711yescharacteristic
432C2×C4×C5C23×D311yescharacteristic
433C22⋊D5—122no—
434C22⋊D5—241no—
435C2×Dic5—21no—
436C2×Dic5—21no—
437C2×Dic5—61no—
438C2×Dic5C2×#6711yescharacteristic
439C2×Dic5C2×#6711yescharacteristic
440D20—22no—
441D20—32no—
442D20—61no—
443D20—122no—
444C4×D5—21no—
445C4×D5—21no—
446C4×D5—21no—
447C4×D5—21no—
448C4×D5—42no—
449C4×D5—122no—
450C4×D5—241no—
451Dic10—21no—
452Dic10—21no—
453C5×C8—61no—
454C5×C8—61no—
455#168—61no—
456#168—61no—
457C2×#41—151no—
458C22×D4—151no—
459C2×Q16—151no—
460C2×SD16—151no—
461C2×SD16—151no—
462C22×C8—151no—
463C22×C8—151no—
464#126—101no—
465#125—101no—
466#125D3×D511yescharacteristic, complemented
467#124—31no—
468#123—101no—
469#123—301no—
470C22⋊Q8—51no—
471C22⋊Q8—51no—
472C22⋊Q8—151no—
473#121—151no—
474#121—301no—
475#120—301no—
476C4×Q8—51no—
477C4×D4—51no—
478C4×D4—151no—
479#117—51no—
480#117—101no—
481C2×C4⋊C4—51no—
482C2×C22⋊C4—301no—
483#107—151no—
484#106—151no—
485#106—151no—
486C4⋊C8—151no—
487#103—31no—
488#103—31no—
489#103—151no—
490#103—151no—
491#102—31no—
492#102—31no—
493#102—151no—
494#102—151no—
495#102—151no—
496#102—151no—
497C22⋊C8—151no—
498C22⋊C8—151no—
499C4×C8—31no—
500C2×C3×C5#54611yescharacteristic
501C2×C3×C5C2×#13511yescharacteristic
502C2×C3×C5#57711yescharacteristic
503D15—42no—
504C3×D5—22no—
505C3×D5—41no—
506C5×D3—81no—
507C23×C3—51no—
508C23×C3—51no—
509C22×D3—21no—
510C22×D3—101no—
511C22×D3—202no—
512C22×D3—202no—
513C22×D3—401no—
514C3×Q8—101no—
515C3×Q8—101no—
516C3×D4—102no—
517C2×C3×C4—21no—
518C2×C3×C4—21no—
519C2×C3×C4—51no—
520C2×C3×C4—51no—
521C2×C3×C4—101no—
522C2×C3×C4—101no—
523C2×C3×C4—101no—
524C2×C3×C4—101no—
525C2×C3×C4—101no—
526C2×C3×C4—101no—
527C2×C3×C4—202no—
528C2×C3×C4D4×D511yescharacteristic
529C2×C3×C4D4×D511yescharacteristic
530C2×C3×C4C23×D511yescharacteristic
531#67—202no—
532#67—401no—
533C2×Dic3—21no—
534C2×Dic3—101no—
535D12—21no—
536D12—21no—
537D12—52no—
538D12—101no—
539D12—202no—
540C4×D3—202no—
541C4×D3—401no—
542Dic6—21no—
543Dic6—21no—
544C3⋊C8—21no—
545C3⋊C8—21no—
546C3⋊C8—101no—
547C3⋊C8—101no—
548C22×C5—121no—
549C22×C5—121no—
550C22×C5—121no—
551C22×C5C22×#6711yescharacteristic
552C2×D5—21no—
553C2×D5—21no—
554C2×D5—21no—
555C2×D5—21no—
556C2×D5—21no—
557C2×D5—62no—
558C2×D5—121no—
559C2×D5—121no—
560C2×D5—244no—
561C2×D5#95012yes—
562C4×C5—21no—
563C4×C5—21no—
564C4×C5—41no—
565C4×C5—41no—
566C4×C5—121no—
567C4×C5D3×#4111yescharacteristic
568C4×C5#100911yescharacteristic
569Dic5—21no—
570Dic5—21no—
571Dic5—41no—
572Dic5—41no—
573Dic5—121no—
574C24—301no—
575#41—302no—
576#41—601no—
577C2×Q8—31no—
578C2×Q8—51no—
579C2×D4—31no—
580C2×D4—51no—
581C2×D4—151no—
582C2×D4—301no—
583C2×D4—301no—
584C2×D4—302no—
585C2×D4—301no—
586C2×D4—601no—
587C22×C4—51no—
588C22×C4—51no—
589C22×C4—101no—
590C22×C4—301no—
591C22×C4—301no—
592Q16—601no—
593SD16—302no—
594SD16—601no—
595C2×C8—31no—
596C2×C8—31no—
597C2×C8—151no—
598C2×C8—151no—
599C2×C8—601no—
600C2×C8—601no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—51no—
604C4⋊C4—51no—
605C4⋊C4—101no—
606C4⋊C4—101no—
607C4⋊C4—101no—
608C4⋊C4—101no—
609C4⋊C4—151no—
610C4⋊C4—301no—
611C4⋊C4C2×D3×D511yescharacteristic
612C4⋊C4C2×D3×D511yescharacteristic
613C22⋊C4—51no—
614C22⋊C4—51no—
615C22⋊C4—61no—
616C22⋊C4—61no—
617C22⋊C4—101no—
618C22⋊C4—101no—
619C22⋊C4—101no—
620C22⋊C4—301no—
621C22⋊C4—301no—
622C22⋊C4—301no—
623C42—101no—
624C42—101no—
625C42C2×D3×D511yescharacteristic
626C3×C5#329611yescharacteristic, complemented, Hall
627C22×C3—52no—
628C22×C3—101no—
629C22×C3—101no—
630C22×C3—101no—
631C22×C3—101no—
632C22×C3—101no—
633C22×C3C2×D4×D511yescharacteristic
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—41no—
637C2×D3—102no—
638C2×D3—201no—
639C2×D3—201no—
640C2×D3—404no—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—41no—
644C3×C4—41no—
645C3×C4—101no—
646C3×C4—101no—
647C3×C4—201no—
648C3×C4—201no—
649C3×C4D5×#4111yescharacteristic
650C3×C4#414911yescharacteristic
651Dic3—41no—
652Dic3—201no—
653C2×C5—241no—
654C2×C5C2×#95011yescharacteristic
655C2×C5#582911yescharacteristic
656C2×C5#583711yescharacteristic
657D5—22no—
658D5—41no—
659D5—122no—
660C23—51no—
661C23—51no—
662C23—61no—
663C23—301no—
664C23—602no—
665C23—602no—
666C23—1201no—
667Q8—61no—
668Q8—61no—
669Q8—101no—
670Q8—101no—
671D4—61no—
672D4—61no—
673D4—102no—
674D4—152no—
675D4—301no—
676D4—602no—
677D4—602no—
678D4—1201no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—51no—
682C2×C4—51no—
683C2×C4—61no—
684C2×C4—101no—
685C2×C4—101no—
686C2×C4—101no—
687C2×C4—101no—
688C2×C4—101no—
689C2×C4—101no—
690C2×C4—202no—
691C2×C4—301no—
692C2×C4—602no—
693C2×C4—1201no—
694C2×C4D5×#6711yescharacteristic
695C2×C4D5×#6711yescharacteristic
696C2×C4C22×D3×D511yescharacteristic
697C8—61no—
698C8—61no—
699C8—301no—
700C8—301no—
701C2×C3—102no—
702C2×C3—201no—
703C2×C3#6601011yescharacteristic
704C2×C3D5×#13511yescharacteristic
705C2×C3#6610411yescharacteristic
706D3—81no—
707D3—202no—
708C5#8359811yescharacteristic, complemented, Sylow
709C22—52no—
710C22—101no—
711C22—101no—
712C22—101no—
713C22—101no—
714C22—101no—
715C22—121no—
716C22—121no—
717C22—121no—
718C22—302no—
719C22—601no—
720C22—601no—
721C22—1204no—
722C22C2×D5×#6711yescharacteristic
723C4—21no—
724C4—21no—
725C4—41no—
726C4—41no—
727C4—101no—
728C4—101no—
729C4—121no—
730C4—201no—
731C4—201no—
732C4—601no—
733C4#9203411yescharacteristic
734C4#9203511yescharacteristic
735C3#1061338311yescharacteristic, complemented, Sylow
736C2—102no—
737C2—201no—
738C2—241no—
739C2—602no—
740C2#1175527411yescharacteristic
741C2D5×#95011yescharacteristic
742C2#1175531911yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#125C22
socleC22×C3×C5C22×D4
prime radical#11752748C2
hypercenter#125D3×D5
hypocenterC3×C5#3296
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ #125

Complements

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

NH ≅ G/Ntype
1. C3×#66028C2semidirect
3. #11751167C2semidirect
4. C5×#5068C2semidirect
5. #11747513C2semidirect
6. #11747501C2semidirect
7. #11747481C2semidirect
8. D5×#809C2semidirect
9. #11747341C2semidirect
10. #11747338C2semidirect
11. #11747310C2semidirect
12. #11747309C2semidirect
13. #11747061C2semidirect
14. C4×#6658C2semidirect
15. C3⋊C8×D20C2semidirect
19. C3×C5×#125C22semidirect
24. C3×#4043C22semidirect
27. C3×#4038C22semidirect
31. C3×C4×Dic10C22semidirect
38. C2×#6661C22semidirect
42. C2×D5×C3⋊C8C22semidirect
45. #91092C22semidirect
46. #91091C22semidirect
47. C4⋊(C3⋊#168)C22semidirect
48. C5×#810C22semidirect
49. C5×#810C22semidirect
52. C4×C5×C3⋊C8C22semidirect
53. #90987C22semidirect
54. #90972C22semidirect
55. #90971C22semidirect
59. #90955C22semidirect
61. #66028D3semidirect
130. #5068D5semidirect
145. C5×#125C2×D3semidirect
156. #4043C2×D3semidirect
159. #4038C2×D3semidirect
168. C4×Dic10C2×D3semidirect
232. C3×#125C2×D5semidirect
258. #810C2×D5semidirect
259. #810C2×D5semidirect
270. C4×C3⋊C8C2×D5semidirect
466. #125D3×D5semidirect
626. C3×C5#3296semidirect
708. C5#83598semidirect
735. C3#10613383semidirect

Maximal subgroups

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

subgroupindex
C3×#660282
#117527482
#117511672
C5×#50682
#117475132
#117475012
#117474812
D5×#8092
#117473412
#117473382
#117473102
#117473092
#117470612
C4×#66582
C3⋊C8×D202
#106133833
#835985