Finite Group Databasebeta

← #14430827

Subgroups — #14430827

Order 1920.

796 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#65879C211yesmaximal, characteristic
2#11752647C211yesmaximal, characteristic, complemented
3#11751108C211yesmaximal, characteristic, complemented
4C5×#5009C211yesmaximal, characteristic, complemented
5#11749104C211yesmaximal, characteristic, complemented
6#11749083C211yesmaximal, characteristic, complemented
7#11748962C211yesmaximal, characteristic
8D5×#832C211yesmaximal, characteristic
9#11747433C211yesmaximal, characteristic, complemented
10#11747410C211yesmaximal, characteristic, complemented
11#11747392C211yesmaximal, characteristic, complemented
12#11747188C211yesmaximal, characteristic, complemented
13#11746985C211yesmaximal, characteristic, complemented
14#11746887C211yesmaximal, characteristic, complemented
15#11746881C211yesmaximal, characteristic, complemented
16#10612899—31nomaximal, Hall
17C2×C3×D4×D5C2211yescharacteristic
18C3×C4×C5×D4C2211yescharacteristic
19#91758C2211yescharacteristic, complemented
20C5×#870C2211yescharacteristic, complemented
21C3×D4×Dic5C2211yescharacteristic
22C3×C4×C22⋊D5—21no—
23C2×C3×#685—21no—
24C3×#4039C2211yescharacteristic
25C3×#4038C2211yescharacteristic
26C3×#4027—21no—
27C3×D5×C22⋊C4—21no—
28C3×C4×D20C2211yescharacteristic
29C3×#4018C2211yescharacteristic
30#91468C2211yescharacteristic, complemented
31#91431—21no—
32#91422—21no—
33D5×C4⋊Dic3C2211yescharacteristic
34#91388C2211yescharacteristic, complemented
35#91358C2211yescharacteristic
36#91334—21no—
37#91328—21no—
38C2×#6649C2211yescharacteristic
39C2×D5×C3⋊C8C2211yescharacteristic
40#91116C2211yescharacteristic
41#91116C2211yescharacteristic
42#91091C2211yescharacteristic, complemented
43#91091C2211yescharacteristic, complemented
44C4⋊(C3⋊#168)C2211yescharacteristic, complemented
45C5×#832C2211yescharacteristic
46C5×#832C2211yescharacteristic
47C5×#808C2211yescharacteristic, complemented
48C5×#807C2211yescharacteristic, complemented
49C5×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
50#90989C2211yescharacteristic, complemented
51#90987C2211yescharacteristic, complemented
52#90987C2211yescharacteristic, complemented
53#90986C2211yescharacteristic, complemented
54#90982C2211yescharacteristic, complemented
55#90982C2211yescharacteristic, complemented
56#90965C2211yescharacteristic
57#90965C2211yescharacteristic
58#90964C2211yescharacteristic
59#90964C2211yescharacteristic
60#82539—51nomaximal, Hall
61#66023—31no—
62#65879D311yescharacteristic
63C5×#478—31no—
64#65355—31no—
65#65296—31no—
66#65179—31no—
67#65170—31no—
68#65160—31no—
69#65149—31no—
70#65131—31no—
71#65128—31no—
72#65059—31no—
73D5×#102—31no—
74#65052—31no—
75#65050—31no—
76C23×C3×D5—21no—
77C2×C3×C5×D4C2311yescharacteristic
78C22×C3×C4×C5—21no—
79C2×Dic30—21no—
80C2×C3×C22⋊D5—21no—
81C22×C3×Dic5—21no—
82C3×D4×D5—22no—
83C3×D4×D5Q814yescomplemented
84C2×C3×D20C2311yescharacteristic
85C2×C3×C4×D5—21no—
86C2×C3×C4×D5—21no—
87C2×C3×C4×D5C2311yescharacteristic
88C2×#1204—21no—
89C2×D5×Dic3—21no—
90C3×C5×C4⋊C4C2311yescharacteristic
91C3×C5×C22⋊C4—21no—
92C3×C42×C5C2311yescharacteristic
93C4⋊Dic15—21no—
94C4⋊Dic15C2311yescharacteristic
95C4⋊Dic15C2311yescharacteristic
96C2×C3⋊#168C2311yescharacteristic
97C2×C3⋊#168C2311yescharacteristic
98C5×C4⋊Dic3C2311yescharacteristic
99C5×C4⋊Dic3C2311yescharacteristic
100C5×Dic3⋊C4—21no—
101C5×Dic3⋊C4—21no—
102C2×C5×C3⋊C8C2311yescharacteristic
103C2×C5×C3⋊C8C2311yescharacteristic
104C3×C22⋊Dic5—21no—
105C3×#685—21no—
106C3×#685—21no—
107C3×#685—21no—
108C3×#685D411yescharacteristic
109C3×#685D411yescharacteristic
110C3×C4⋊Dic5C2311yescharacteristic
111C3×#683D411yescharacteristic
112C3×#683D411yescharacteristic
113C3×C4×Dic5—21no—
114C3×C4×Dic5C2311yescharacteristic
115Dic3⋊Dic5—21no—
116#6669—21no—
117#6668—21no—
118#6668—21no—
119#6665—21no—
120Dic3×Dic5—21no—
121#6649—22no—
122D5×C3⋊C8—22no—
123C3×#518—51no—
124#5519—51no—
125#5215—51no—
126C2×#832—51no—
127#5009—51no—
128#5009—51no—
129#5009—51no—
130#5009D511yescharacteristic, complemented
131#5008—51no—
132#5008—51no—
133#5007—51no—
134#5007—51no—
135#4999—51no—
136#4998—51no—
137#4995—51no—
138C2×D4×D5C2×D311yescharacteristic
139C5×#125—31no—
140C4×C5×D4C2×D311yescharacteristic
141D4×Dic5C2×D311yescharacteristic
142C4×C22⋊D5—21no—
143C2×#685—21no—
144C2×#676—31no—
145C2×C8×D5—31no—
146#4043—61no—
147#4042—61no—
148#4039C2×D311yescharacteristic
149#4038—31no—
150#4038C2×D311yescharacteristic
151D5×C4⋊C4—31no—
152#4036—31no—
153#4035—61no—
154#4034—31no—
155#4034—61no—
156#4027—21no—
157D5×C22⋊C4—21no—
158C4×D20C2×D311yescharacteristic
159#4018C2×D311yescharacteristic
160#4015—31no—
161C5×#107—31no—
162C5×#106—31no—
163C5×C4⋊C8—31no—
164C5×#102—31no—
165C5×#102—31no—
166#3964—31no—
167#3964—31no—
168#3953—31no—
169#3953—31no—
170#3949—31no—
171#3949—31no—
172#3946—31no—
173#3946—31no—
174#3941—31no—
175#3941—31no—
176#3940—31no—
177#3939—31no—
178#3939—31no—
179#3939—31no—
180C4⋊#168—31no—
181#3081—151noSylow
182C23×C3×C5—21no—
183C22×C3×D5—21no—
184C22×C3×D5—24no—
185C22×C3×D5—81no—
186C22×C3×D5—81no—
187C22×C3×D5C2×D411yescharacteristic
188C3×C5×D4—21no—
189C3×C5×D4C2×Q812yes—
190C2×C3×C4×C5—21no—
191C2×C3×C4×C5—81no—
192C2×C3×C4×C5C2×D411yescharacteristic
193C2×C3×C4×C5C2×D411yescharacteristic
194C2×C3×C4×C5C2411yescharacteristic
195C2×Dic15—21no—
196C2×Dic15—21no—
197Dic30—81no—
198C2×C5×Dic3—21no—
199C2×C5×Dic3—21no—
200C3×C22⋊D5—24no—
201C2×C3×Dic5—21no—
202C2×C3×Dic5—81no—
203C2×C3×Dic5C2×D411yescharacteristic
204C2×C3×Dic5C2×D411yescharacteristic
205C2×C3×Dic5C2×D411yescharacteristic
206C3×D20—21no—
207C3×D20C2×Q812yes—
208C3×C4×D5—81no—
209C3×C4×D5—81no—
210C3×C4×D5C2×Q812yes—
211C3×C4×D5#4112yes—
212#1204—81no—
213D5×Dic3—81no—
214C3⋊#168—21no—
215C3⋊#168—21no—
216C5×C3⋊C8—21no—
217C5×C3⋊C8—21no—
218C22×C3×D4—51no—
219C3×C4×D4—51no—
220C3×C4×D4—51no—
221C3×C4×D4—51no—
222C3×C4×D4—101no—
223C3×C4×D4—101no—
224C3×C4×D4C2×D511yescharacteristic
225C3×#117—51no—
226C3×#117—51no—
227C2×C3×C22⋊C4—101no—
228C2×C3×C22⋊C4—101no—
229#926—51no—
230C2×C4⋊Dic3—51no—
231C2×#208—51no—
232C22×C3⋊C8—51no—
233#890—101no—
234#888—101no—
235#878—101no—
236#878—101no—
237#870—51no—
238#870C2×D511yescharacteristic, complemented
239#869—51no—
240#869—51no—
241#832—51no—
242#832—51no—
243#832—51no—
244#832—51no—
245#832—51no—
246#832—51no—
247#832C2×D511yescharacteristic
248#832C2×D511yescharacteristic
249#808—51no—
250#808—51no—
251#808—51no—
252#808C2×D511yescharacteristic, complemented
253#807—51no—
254#807—51no—
255#807—51no—
256#807C2×D511yescharacteristic, complemented
257C4⋊(C3⋊C8)—51no—
258C4⋊(C3⋊C8)—51no—
259C4⋊(C3⋊C8)—51no—
260C4⋊(C3⋊C8)C2×D511yescharacteristic, complemented
261C23×D5—21no—
262C2×C5×D4C22×D311yescharacteristic
263C22×C4×C5—21no—
264C2×C22⋊D5—21no—
265C22×Dic5—21no—
266D4×D5—22no—
267D4×D5Dic614yescomplemented
268C2×D20C22×D311yescharacteristic
269C2×C4×D5—21no—
270C2×C4×D5—21no—
271C2×C4×D5—61no—
272C2×C4×D5C22×D311yescharacteristic
273C2×Dic10—61no—
274C2×Dic10—61no—
275C2×C5×C8—31no—
276C2×C5×C8—31no—
277C5×C4⋊C4—31no—
278C5×C4⋊C4—31no—
279C5×C4⋊C4—61no—
280C5×C4⋊C4—61no—
281C5×C4⋊C4C22×D311yescharacteristic
282C5×C22⋊C4—21no—
283C42×C5C22×D311yescharacteristic
284C22⋊Dic5—21no—
285#685—21no—
286#685—21no—
287#685—21no—
288#685—61no—
289#685#6711yescharacteristic
290#685#6711yescharacteristic
291C4⋊Dic5—31no—
292C4⋊Dic5—31no—
293C4⋊Dic5—61no—
294C4⋊Dic5—61no—
295C4⋊Dic5C22×D311yescharacteristic
296#683—61no—
297#683—61no—
298#683—61no—
299#683#6711yescharacteristic
300#683#6711yescharacteristic
301C4×Dic5—21no—
302C4×Dic5—61no—
303C4×Dic5C22×D311yescharacteristic
304C2×#168—31no—
305C2×#168—31no—
306#676—62no—
307C8×D5—62no—
308#544—151no—
309#518—51no—
310#478—31no—
311#478—151no—
312#478—151no—
313#478—151no—
314#476—151no—
315#476—151no—
316#474—151no—
317#474—151no—
318#428—151no—
319#427—151no—
320#424—151no—
321#418—151no—
322C2×#102—151no—
323C22×C3×C5—22no—
324C22×C3×C5—41no—
325C22×C3×C5—41no—
326C22×C3×C5C22×D411yescharacteristic
327C2×C3×D5—21no—
328C2×C3×D5—21no—
329C2×C3×D5—22no—
330C2×C3×D5—41no—
331C2×C3×D5—41no—
332C2×C3×D5—84no—
333C2×C3×D5C22⋊Q812yes—
334C3×C4×C5—21no—
335C3×C4×C5—21no—
336C3×C4×C5—41no—
337C3×C4×C5C22×Q811yescharacteristic
338C3×C4×C5C2×#4111yescharacteristic
339Dic15—41no—
340Dic15—41no—
341C3×Dic5—21no—
342C3×Dic5—21no—
343C3×Dic5—41no—
344C3×Dic5C22⋊Q812yes—
345C5×Dic3—41no—
346C5×Dic3—41no—
347C24×C3—101no—
348C2×C3×D4—54no—
349C2×C3×D4—51no—
350C2×C3×D4—102no—
351C2×C3×D4—101no—
352C2×C3×D4C22×D511yescharacteristic
353C22×C3×C4—21no—
354C22×C3×C4—51no—
355C22×C3×C4—101no—
356C22×C3×C4—101no—
357C22×C3×C4—101no—
358C22×Dic3—101no—
359C2×Dic6—101no—
360C2×Dic6—101no—
361C3×C4⋊C4—51no—
362C3×C4⋊C4—51no—
363C3×C4⋊C4—51no—
364C3×C4⋊C4C22×D511yescharacteristic
365C3×C22⋊C4—21no—
366C3×C22⋊C4—51no—
367C3×C22⋊C4—51no—
368C3×C22⋊C4—101no—
369C3×C22⋊C4—101no—
370C3×C22⋊C4—101no—
371C3×C22⋊C4—101no—
372C3×C42—51no—
373C3×C42—101no—
374C3×C42C22×D511yescharacteristic
375#217—101no—
376C4⋊Dic3—51no—
377C4⋊Dic3—51no—
378C4⋊Dic3—101no—
379C4⋊Dic3—101no—
380C4⋊Dic3—101no—
381C4⋊Dic3C22×D511yescharacteristic
382C4⋊Dic3C22×D511yescharacteristic
383Dic3⋊C4—21no—
384Dic3⋊C4—21no—
385Dic3⋊C4—101no—
386Dic3⋊C4—101no—
387C4×Dic3—101no—
388#208—102no—
389C2×C3⋊C8—51no—
390C2×C3⋊C8—51no—
391C2×C3⋊C8—102no—
392C2×C3⋊C8C22×D511yescharacteristic
393C2×C3⋊C8C22×D511yescharacteristic
394C23×C5—21no—
395C22×D5—21no—
396C22×D5—24no—
397C22×D5—81no—
398C22×D5—81no—
399C22×D5C2×#6711yescharacteristic
400C5×D4—21no—
401C5×D4C2×Dic612yes—
402C2×C4×C5—21no—
403C2×C4×C5—61no—
404C2×C4×C5—61no—
405C2×C4×C5—81no—
406C2×C4×C5C2×#6711yescharacteristic
407C2×C4×C5C2×#6711yescharacteristic
408C2×C4×C5C23×D311yescharacteristic
409C22⋊D5—24no—
410C2×Dic5—21no—
411C2×Dic5—61no—
412C2×Dic5—61no—
413C2×Dic5—81no—
414C2×Dic5C2×#6711yescharacteristic
415C2×Dic5C2×#6711yescharacteristic
416C2×Dic5C2×#6711yescharacteristic
417D20—21no—
418D20C2×Dic612yes—
419C4×D5—81no—
420C4×D5—81no—
421C4×D5—241no—
422C4×D5C2×Dic612yes—
423C4×D5#23512yes—
424Dic10—241no—
425Dic10—241no—
426C5×C8—61no—
427C5×C8—61no—
428#168—61no—
429#168—61no—
430C22×D4—51no—
431C2×M16—151no—
432C22×C8—151no—
433C4⋊Q8—151no—
434C4⋊Q8—151no—
435C4⋊Q8—301no—
436#125—31no—
437#125—151no—
438#125—301no—
439C22⋊Q8—301no—
440C22⋊Q8—301no—
441C4×D4—51no—
442C4×D4—51no—
443C4×D4—51no—
444C4×D4—101no—
445C4×D4—101no—
446C4×D4D3×D511yescharacteristic
447#117—51no—
448#117—51no—
449#117—151no—
450C2×C4⋊C4—151no—
451C2×C22⋊C4—101no—
452C2×C22⋊C4—101no—
453#107—31no—
454#107—151no—
455#107—151no—
456#107—151no—
457#106—31no—
458#106—151no—
459#106—151no—
460#106—151no—
461C4⋊C8—31no—
462C4⋊C8—151no—
463C4⋊C8—151no—
464C4⋊C8—151no—
465#102—31no—
466#102—31no—
467#102—151no—
468#102—151no—
469#102—151no—
470#102—151no—
471#102—151no—
472#102—151no—
473C2×C3×C5—42no—
474C2×C3×C5C2×C22⋊Q811yescharacteristic
475C2×C3×C5#57611yescharacteristic
476C2×C3×C5#57711yescharacteristic
477C3×D5—22no—
478C3×D5—42no—
479C23×C3—21no—
480C23×C3—51no—
481C23×C3—104no—
482C23×C3—101no—
483C23×C3—401no—
484C23×C3—401no—
485C3×D4—21no—
486C3×D4—52no—
487C3×D4—104no—
488C3×D4—101no—
489C3×D4Q8×D512yes—
490C2×C3×C4—21no—
491C2×C3×C4—51no—
492C2×C3×C4—52no—
493C2×C3×C4—52no—
494C2×C3×C4—51no—
495C2×C3×C4—51no—
496C2×C3×C4—81no—
497C2×C3×C4—101no—
498C2×C3×C4—401no—
499C2×C3×C4—401no—
500C2×C3×C4—401no—
501C2×C3×C4D4×D511yescharacteristic
502C2×C3×C4D4×D511yescharacteristic
503C2×C3×C4C23×D511yescharacteristic
504C2×Dic3—21no—
505C2×Dic3—21no—
506C2×Dic3—101no—
507C2×Dic3—101no—
508C2×Dic3—401no—
509Dic6—401no—
510Dic6—401no—
511C3⋊C8—21no—
512C3⋊C8—21no—
513C3⋊C8—101no—
514C3⋊C8—101no—
515C22×C5—22no—
516C22×C5—41no—
517C22×C5—41no—
518C22×C5C22×#6711yescharacteristic
519C2×D5—21no—
520C2×D5—21no—
521C2×D5—22no—
522C2×D5—41no—
523C2×D5—41no—
524C2×D5—84no—
525C2×D5#92412yes—
526C4×C5—21no—
527C4×C5—21no—
528C4×C5—41no—
529C4×C5—121no—
530C4×C5—121no—
531C4×C5C22×Dic611yescharacteristic
532C4×C5C2×#23511yescharacteristic
533Dic5—21no—
534Dic5—21no—
535Dic5—41no—
536Dic5—121no—
537Dic5—121no—
538Dic5#92412yes—
539C24—101no—
540C2×Q8—301no—
541C2×Q8—301no—
542C2×D4—54no—
543C2×D4—51no—
544C2×D4—102no—
545C2×D4—101no—
546C2×D4C2×D3×D511yescharacteristic
547C22×C4—21no—
548C22×C4—51no—
549C22×C4—101no—
550C22×C4—101no—
551C22×C4—101no—
552C22×C4—301no—
553M16—302no—
554C2×C8—31no—
555C2×C8—31no—
556C2×C8—151no—
557C2×C8—151no—
558C2×C8—302no—
559C4⋊C4—31no—
560C4⋊C4—31no—
561C4⋊C4—51no—
562C4⋊C4—51no—
563C4⋊C4—51no—
564C4⋊C4—61no—
565C4⋊C4—61no—
566C4⋊C4—151no—
567C4⋊C4—151no—
568C4⋊C4—301no—
569C4⋊C4—301no—
570C4⋊C4—301no—
571C4⋊C4—301no—
572C4⋊C4—301no—
573C4⋊C4C2×D3×D511yescharacteristic
574C22⋊C4—21no—
575C22⋊C4—51no—
576C22⋊C4—51no—
577C22⋊C4—101no—
578C22⋊C4—101no—
579C22⋊C4—101no—
580C22⋊C4—101no—
581C22⋊C4—301no—
582C42—51no—
583C42—101no—
584C42—301no—
585C42C2×D3×D511yescharacteristic
586C3×C5#308111yescharacteristic, complemented, Hall
587C22×C3—22no—
588C22×C3—41no—
589C22×C3—41no—
590C22×C3—52no—
591C22×C3—101no—
592C22×C3—101no—
593C22×C3—102no—
594C22×C3—201no—
595C22×C3—201no—
596C22×C3—404no—
597C22×C3C2×D4×D511yescharacteristic
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—41no—
601C3×C4—52no—
602C3×C4—101no—
603C3×C4—101no—
604C3×C4—201no—
605C3×C4C2×Q8×D511yescharacteristic
606C3×C4D5×#4111yescharacteristic
607Dic3—41no—
608Dic3—41no—
609Dic3—201no—
610Dic3—201no—
611C2×C5—42no—
612C2×C5C2×#92411yescharacteristic
613C2×C5#583511yescharacteristic
614C2×C5#583611yescharacteristic
615D5—22no—
616D5—42no—
617C23—21no—
618C23—51no—
619C23—104no—
620C23—101no—
621C23—401no—
622C23—401no—
623Q8—1201no—
624Q8—1201no—
625D4—21no—
626D4—52no—
627D4—104no—
628D4—101no—
629D4D5×Dic612yes—
630C2×C4—21no—
631C2×C4—51no—
632C2×C4—52no—
633C2×C4—52no—
634C2×C4—51no—
635C2×C4—51no—
636C2×C4—61no—
637C2×C4—61no—
638C2×C4—81no—
639C2×C4—101no—
640C2×C4—301no—
641C2×C4—301no—
642C2×C4—401no—
643C2×C4—401no—
644C2×C4—401no—
645C2×C4—1201no—
646C2×C4D5×#6711yescharacteristic
647C2×C4D5×#6711yescharacteristic
648C2×C4C22×D3×D511yescharacteristic
649C8—61no—
650C8—61no—
651C8—301no—
652C8—301no—
653C2×C3—42no—
654C2×C3—102no—
655C2×C3—202no—
656C2×C3D5×C22⋊Q811yescharacteristic
657C2×C3#6610411yescharacteristic
658C2×C3#6610811yescharacteristic
659C5#8253911yescharacteristic, complemented, Sylow
660C22—22no—
661C22—41no—
662C22—41no—
663C22—52no—
664C22—101no—
665C22—101no—
666C22—102no—
667C22—201no—
668C22—201no—
669C22—404no—
670C22C2×D5×#6711yescharacteristic
671C4—21no—
672C4—21no—
673C4—41no—
674C4—52no—
675C4—101no—
676C4—101no—
677C4—121no—
678C4—121no—
679C4—201no—
680C4—601no—
681C4—601no—
682C4C2×D5×Dic611yescharacteristic
683C4D5×#23511yescharacteristic
684C3#1061289911yescharacteristic, complemented, Sylow
685C2—42no—
686C2—102no—
687C2—202no—
688C2D5×#92411yescharacteristic
689C2#1175469211yescharacteristic
690C2#1175533711yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×D4C22
socleC22×C3×C5C22×D4
prime radicalC2×C3×D4×D5C22
hypercenterC4×D4D3×D5
hypocenterC3×C5#3081
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
2. #11752647C2semidirect
3. #11751108C2semidirect
4. C5×#5009C2semidirect
5. #11749104C2semidirect
6. #11749083C2semidirect
9. #11747433C2semidirect
10. #11747410C2semidirect
11. #11747392C2semidirect
12. #11747188C2semidirect
13. #11746985C2semidirect
14. #11746887C2semidirect
15. #11746881C2semidirect
19. #91758C22semidirect
20. C5×#870C22semidirect
30. #91468C22semidirect
34. #91388C22semidirect
42. #91091C22semidirect
43. #91091C22semidirect
44. C4⋊(C3⋊#168)C22semidirect
47. C5×#808C22semidirect
48. C5×#807C22semidirect
49. C5×C4⋊(C3⋊C8)C22semidirect
50. #90989C22semidirect
51. #90987C22semidirect
52. #90987C22semidirect
53. #90986C22semidirect
54. #90982C22semidirect
55. #90982C22semidirect
83. C3×D4×D5Q8semidirect
130. #5009D5semidirect
238. #870C2×D5semidirect
252. #808C2×D5semidirect
256. #807C2×D5semidirect
260. C4⋊(C3⋊C8)C2×D5semidirect
267. D4×D5Dic6semidirect
586. C3×C5#3081semidirect
659. C5#82539semidirect
684. C3#10612899semidirect

Maximal subgroups

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

subgroupindex
C3×#658792
#117526472
#117511082
C5×#50092
#117491042
#117490832
#117489622
D5×#8322
#117474332
#117474102
#117473922
#117471882
#117469852
#117468872
#117468812
#106128993
#825395