Finite Group Databasebeta

← #14430809

Subgroups — #14430809

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×#66023C211yesmaximal, characteristic, complemented
2#11752725C211yesmaximal, characteristic
3#11751167C211yesmaximal, characteristic, complemented
4C5×#5066C211yesmaximal, characteristic, complemented
5#11747475C211yesmaximal, characteristic
6D5×#809C211yesmaximal, characteristic
7#11747453C211yesmaximal, characteristic, complemented
8#11747432C211yesmaximal, characteristic, complemented
9#11747243C211yesmaximal, characteristic, complemented
10#11747242C211yesmaximal, characteristic, complemented
11#11747240C211yesmaximal, characteristic, complemented
12#11747237C211yesmaximal, characteristic, complemented
13#11746985C211yesmaximal, characteristic, complemented
14#11746971C211yesmaximal, characteristic, complemented
15#11746882C211yesmaximal, characteristic, complemented
16#10612900—31nomaximal, Hall
17C2×D5×D12C2211yescharacteristic
18C3×C5×#125C2211yescharacteristic, complemented
19C4×D60C2211yescharacteristic
20C4×C5×D12C2211yescharacteristic
21C3×#4043—21no—
22C3×#4042—21no—
23C3×#4038C2211yescharacteristic
24C3×D5×C4⋊C4C2211yescharacteristic
25C3×#4036C2211yescharacteristic, complemented
26C3×#4035—21no—
27C3×#4034—21no—
28C3×#4034C2211yescharacteristic, complemented
29C3×#4018C2211yescharacteristic
30C3×#4015C2211yescharacteristic, complemented
31#91473—21no—
32D3×#685—21no—
33#91446—21no—
34#91418C2211yescharacteristic
35Dic5×D12C2211yescharacteristic
36#91406—21no—
37#91358C2211yescharacteristic
38C2×#6649C2211yescharacteristic
39C2×D5×C3⋊C8C2211yescharacteristic
40#91093C2211yescharacteristic
41#91093C2211yescharacteristic
42#91092C2211yescharacteristic, complemented
43#91091C2211yescharacteristic, complemented
44C4⋊(C3⋊#168)C2211yescharacteristic, complemented
45C5×#809C2211yescharacteristic
46C5×#809C2211yescharacteristic
47C5×#808C2211yescharacteristic, complemented
48C5×#807C2211yescharacteristic, complemented
49C5×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
50#90990C2211yescharacteristic, complemented
51#90990C2211yescharacteristic, complemented
52#90986C2211yescharacteristic, complemented
53#90986C2211yescharacteristic, complemented
54#90982C2211yescharacteristic, complemented
55#90982C2211yescharacteristic, complemented
56#90968C2211yescharacteristic
57#90968C2211yescharacteristic
58#90966C2211yescharacteristic
59#90966C2211yescharacteristic
60#83474—51nomaximal, Hall
61#66023D311yescharacteristic, complemented
62#65879—31no—
63C5×#478—31no—
64#65355—31no—
65#65297—31no—
66#65180—31no—
67#65169—31no—
68#65159—31no—
69#65150—31no—
70#65135—31no—
71#65128—31no—
72#65059—31no—
73D5×#102—31no—
74#65055—31no—
75#65048—31no—
76C22×D3×D5—21no—
77C2×D60C2311yescharacteristic
78C2×C4×D15—21no—
79C2×C5×D12C2311yescharacteristic
80C2×C4×C5×D3—21no—
81C2×C3×C4×D5—21no—
82C2×C3×C4×D5C2311yescharacteristic
83C2×C3×Dic10—21no—
84C2×C3×Dic10—21no—
85C2×#1203—21no—
86C2×#1200—21no—
87C2×D3×Dic5—21no—
88D5×D12—22no—
89D5×D12Q814yescomplemented
90C3×C5×C4⋊C4—21no—
91C3×C5×C4⋊C4—21no—
92C3×C5×C4⋊C4C2311yescharacteristic
93C3×C5×C4⋊C4C2311yescharacteristic
94C3×C42×C5C2311yescharacteristic
95#6714—21no—
96C4⋊Dic15C2311yescharacteristic
97C2×C3⋊#168C2311yescharacteristic
98C2×C3⋊#168C2311yescharacteristic
99C5×(C2×D3)⋊C4—21no—
100C5×C4⋊Dic3C2311yescharacteristic
101C2×C5×C3⋊C8C2311yescharacteristic
102C2×C5×C3⋊C8C2311yescharacteristic
103C3×#685—21no—
104C3×#685D411yescharacteristic
105C3×#685D411yescharacteristic
106C3×C4⋊Dic5—21no—
107C3×C4⋊Dic5—21no—
108C3×C4⋊Dic5C2311yescharacteristic
109C3×C4⋊Dic5C2311yescharacteristic
110C3×#683—21no—
111C3×#683—21no—
112C3×#683—21no—
113C3×#683D411yescharacteristic
114C3×#683D411yescharacteristic
115C3×C4×Dic5—21no—
116C3×C4×Dic5C2311yescharacteristic
117#6667—21no—
118(C2×D3)⋊Dic5—21no—
119#6665—21no—
120Dic3×Dic5—21no—
121#6649—22no—
122D5×C3⋊C8—22no—
123C3×#544—51no—
124#5521—51no—
125#5087—51no—
126#5087—51no—
127#5084—51no—
128#5084—51no—
129#5066—51no—
130#5066—51no—
131#5066—51no—
132#5066D511yescharacteristic, complemented
133#5001—51no—
134#4999—51no—
135#4998—51no—
136C2×#809—51no—
137#4964—51no—
138C2×D4×D5—31no—
139C5×#125C2×D311yescharacteristic, complemented
140C4×C5×D4—31no—
141D4×Dic5—31no—
142C4×C22⋊D5—61no—
143C2×#685—61no—
144C2×#676—31no—
145C2×C8×D5—31no—
146#4043—21no—
147#4042—21no—
148#4039—31no—
149#4038—31no—
150#4038C2×D311yescharacteristic
151D5×C4⋊C4C2×D311yescharacteristic
152#4036C2×D311yescharacteristic, complemented
153#4035—21no—
154#4034—21no—
155#4034C2×D311yescharacteristic, complemented
156#4027—61no—
157D5×C22⋊C4—61no—
158C4×D20—31no—
159#4018C2×D311yescharacteristic
160#4015C2×D311yescharacteristic, complemented
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#3950—31no—
171#3950—31no—
172#3946—31no—
173#3946—31no—
174#3941—31no—
175#3941—31no—
176#3940—31no—
177#3940—31no—
178#3940—31no—
179#3939—31no—
180C4⋊#168—31no—
181#3081—151noSylow
182C22×D15—21no—
183C22×C5×D3—21no—
184C22×C3×D5C2×D411yescharacteristic
185C2×D3×D5—24no—
186C2×D3×D5—81no—
187C2×D3×D5—81no—
188C2×C3×C4×C5—21no—
189C2×C3×C4×C5—21no—
190C2×C3×C4×C5C2×D411yescharacteristic
191C2×C3×C4×C5C2×D411yescharacteristic
192C2×C3×C4×C5C2411yescharacteristic
193C2×Dic15—21no—
194D60—21no—
195D60C2×Q812yes—
196C4×D15—81no—
197C2×C5×Dic3—21no—
198C5×D12—21no—
199C5×D12C2×Q812yes—
200C4×C5×D3—81no—
201C2×C3×Dic5—21no—
202C2×C3×Dic5—21no—
203C2×C3×Dic5C2×D411yescharacteristic
204C2×C3×Dic5C2×D411yescharacteristic
205C2×C3×Dic5C2×D411yescharacteristic
206C3×C4×D5—81no—
207C3×C4×D5C2×Q812yes—
208C3×C4×D5#4112yes—
209C3×Dic10—81no—
210C3×Dic10—81no—
211#1203—24no—
212#1200—81no—
213D3×Dic5—81no—
214C3⋊#168—21no—
215C3⋊#168—21no—
216C5×C3⋊C8—21no—
217C5×C3⋊C8—21no—
218C22×D12—51no—
219C3×C4⋊Q8—51no—
220C3×C4⋊Q8—51no—
221C3×C4⋊Q8—101no—
222C3×#125—51no—
223C3×#125—101no—
224C3×#125C2×D511yescharacteristic, complemented
225C3×C22⋊Q8—101no—
226C3×C22⋊Q8—101no—
227C3×#117—51no—
228C3×#117—51no—
229C2×C3×C4⋊C4—51no—
230#926—51no—
231C2×#208—51no—
232C22×C3⋊C8—51no—
233#893—101no—
234#893—101no—
235D3×C22⋊C4—101no—
236D3×C22⋊C4—101no—
237C4×D12—51no—
238C4×D12—51no—
239C4×D12—51no—
240C4×D12C2×D511yescharacteristic
241#809—51no—
242#809—51no—
243#809—51no—
244#809—51no—
245#809—51no—
246#809—51no—
247#809C2×D511yescharacteristic
248#809C2×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—61no—
262C2×C5×D4—31no—
263C22×C4×C5—61no—
264C2×C22⋊D5—61no—
265C22×Dic5—61no—
266D4×D5—34no—
267D4×D5—62no—
268C2×D20—31no—
269C2×C4×D5—21no—
270C2×C4×D5—61no—
271C2×C4×D5—61no—
272C2×C4×D5C22×D311yescharacteristic
273C2×Dic10—21no—
274C2×Dic10—21no—
275C2×C5×C8—31no—
276C2×C5×C8—31no—
277C5×C4⋊C4—21no—
278C5×C4⋊C4—21no—
279C5×C4⋊C4—31no—
280C5×C4⋊C4C22×D311yescharacteristic
281C5×C4⋊C4C22×D311yescharacteristic
282C5×C22⋊C4—61no—
283C42×C5C22×D311yescharacteristic
284C22⋊Dic5—61no—
285#685—21no—
286#685—61no—
287#685—61no—
288#685—61no—
289#685#6711yescharacteristic
290#685#6711yescharacteristic
291C4⋊Dic5—21no—
292C4⋊Dic5—21no—
293C4⋊Dic5—31no—
294C4⋊Dic5C22×D311yescharacteristic
295C4⋊Dic5C22×D311yescharacteristic
296#683—21no—
297#683—21no—
298#683—21no—
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—51no—
309#518—151no—
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×C5C22×D411yescharacteristic
324C2×D15—22no—
325C2×D15—41no—
326C2×D15—41no—
327C2×C5×D3—22no—
328C2×C5×D3—41no—
329C2×C5×D3—41no—
330C2×C3×D5—21no—
331C2×C3×D5—21no—
332C2×C3×D5C22⋊Q812yes—
333D3×D5—84no—
334C3×C4×C5—21no—
335C3×C4×C5—21no—
336C3×C4×C5—41no—
337C3×C4×C5—41no—
338C3×C4×C5C22×Q811yescharacteristic
339C3×C4×C5C2×#4111yescharacteristic
340Dic15—41no—
341C3×Dic5—21no—
342C3×Dic5—21no—
343C3×Dic5—41no—
344C3×Dic5—41no—
345C3×Dic5C22⋊Q812yes—
346C5×Dic3—41no—
347C23×D3—101no—
348C2×C3×Q8—101no—
349C2×C3×Q8—101no—
350C22×C3×C4—51no—
351C22×C3×C4—101no—
352C2×D12—51no—
353C2×D12—54no—
354C2×D12—102no—
355C2×D12—101no—
356C2×D12C22×D511yescharacteristic
357C2×C4×D3—21no—
358C2×C4×D3—101no—
359C2×C4×D3—101no—
360C2×C4×D3—101no—
361C3×C4⋊C4—21no—
362C3×C4⋊C4—21no—
363C3×C4⋊C4—51no—
364C3×C4⋊C4—51no—
365C3×C4⋊C4—51no—
366C3×C4⋊C4—51no—
367C3×C4⋊C4—101no—
368C3×C4⋊C4—101no—
369C3×C4⋊C4—101no—
370C3×C4⋊C4—101no—
371C3×C4⋊C4—101no—
372C3×C4⋊C4C22×D511yescharacteristic
373C3×C4⋊C4C22×D511yescharacteristic
374C3×C22⋊C4—51no—
375C3×C22⋊C4—51no—
376C3×C22⋊C4—101no—
377C3×C42—51no—
378C3×C42—101no—
379C3×C42C22×D511yescharacteristic
380#217—101no—
381(C2×D3)⋊C4—21no—
382(C2×D3)⋊C4—101no—
383(C2×D3)⋊C4—101no—
384(C2×D3)⋊C4—101no—
385C4⋊Dic3—51no—
386C4⋊Dic3C22×D511yescharacteristic
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—61no—
395C22×D5—61no—
396C22×D5—64no—
397C22×D5—241no—
398C22×D5—241no—
399C22×D5C2×#6711yescharacteristic
400C5×D4—32no—
401C5×D4—61no—
402C2×C4×C5—21no—
403C2×C4×C5—21no—
404C2×C4×C5—61no—
405C2×C4×C5—241no—
406C2×C4×C5C2×#6711yescharacteristic
407C2×C4×C5C2×#6711yescharacteristic
408C2×C4×C5C23×D311yescharacteristic
409C22⋊D5—64no—
410C2×Dic5—21no—
411C2×Dic5—21no—
412C2×Dic5—61no—
413C2×Dic5—241no—
414C2×Dic5C2×#6711yescharacteristic
415C2×Dic5C2×#6711yescharacteristic
416C2×Dic5C2×#6711yescharacteristic
417D20—32no—
418D20—61no—
419C4×D5—81no—
420C4×D5—241no—
421C4×D5—241no—
422C4×D5D3×Q812yes—
423C4×D5#23912yes—
424Dic10—81no—
425Dic10—81no—
426C5×C8—61no—
427C5×C8—61no—
428#168—61no—
429#168—61no—
430C22×D4—151no—
431C2×M16—151no—
432C22×C8—151no—
433C4⋊Q8—51no—
434C4⋊Q8—51no—
435C4⋊Q8—101no—
436#125—51no—
437#125—101no—
438#125D3×D511yescharacteristic, complemented
439C22⋊Q8—101no—
440C22⋊Q8—101no—
441C4×D4—31no—
442C4×D4—151no—
443C4×D4—151no—
444C4×D4—151no—
445C4×D4—301no—
446C4×D4—301no—
447#117—51no—
448#117—51no—
449#117—151no—
450C2×C4⋊C4—51no—
451C2×C22⋊C4—301no—
452C2×C22⋊C4—301no—
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×C5C2×C22⋊Q811yescharacteristic
474C2×C3×C5#57611yescharacteristic
475C2×C3×C5#57711yescharacteristic
476D15—42no—
477C3×D5—22no—
478C5×D3—42no—
479C23×C3—51no—
480C22×D3—21no—
481C22×D3—104no—
482C22×D3—101no—
483C22×D3—401no—
484C22×D3—401no—
485C3×Q8—401no—
486C3×Q8—401no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—51no—
490C2×C3×C4—52no—
491C2×C3×C4—52no—
492C2×C3×C4—51no—
493C2×C3×C4—51no—
494C2×C3×C4—101no—
495C2×C3×C4—101no—
496C2×C3×C4—401no—
497C2×C3×C4D4×D511yescharacteristic
498C2×C3×C4D4×D511yescharacteristic
499C2×C3×C4C23×D511yescharacteristic
500C2×Dic3—21no—
501C2×Dic3—101no—
502D12—21no—
503D12—52no—
504D12—104no—
505D12—101no—
506D12Q8×D512yes—
507C4×D3—81no—
508C4×D3—401no—
509C4×D3—401no—
510C4×D3—401no—
511C3⋊C8—21no—
512C3⋊C8—21no—
513C3⋊C8—101no—
514C3⋊C8—101no—
515C22×C5—62no—
516C22×C5—121no—
517C22×C5—121no—
518C22×C5C22×#6711yescharacteristic
519C2×D5—21no—
520C2×D5—21no—
521C2×D5—62no—
522C2×D5—121no—
523C2×D5—121no—
524C2×D5—244no—
525C2×D5#94612yes—
526C4×C5—21no—
527C4×C5—21no—
528C4×C5—41no—
529C4×C5—41no—
530C4×C5—121no—
531C4×C5C2×D3×Q811yescharacteristic
532C4×C5C2×#23911yescharacteristic
533Dic5—21no—
534Dic5—21no—
535Dic5—41no—
536Dic5—41no—
537Dic5—121no—
538Dic5#94612yes—
539C24—301no—
540C2×Q8—101no—
541C2×Q8—101no—
542C2×D4—31no—
543C2×D4—154no—
544C2×D4—151no—
545C2×D4—302no—
546C2×D4—301no—
547C22×C4—51no—
548C22×C4—61no—
549C22×C4—101no—
550C22×C4—301no—
551C22×C4—301no—
552C22×C4—301no—
553M16—302no—
554C2×C8—31no—
555C2×C8—31no—
556C2×C8—151no—
557C2×C8—151no—
558C2×C8—302no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—31no—
562C4⋊C4—51no—
563C4⋊C4—51no—
564C4⋊C4—51no—
565C4⋊C4—51no—
566C4⋊C4—101no—
567C4⋊C4—101no—
568C4⋊C4—101no—
569C4⋊C4—101no—
570C4⋊C4—101no—
571C4⋊C4—151no—
572C4⋊C4C2×D3×D511yescharacteristic
573C4⋊C4C2×D3×D511yescharacteristic
574C22⋊C4—51no—
575C22⋊C4—51no—
576C22⋊C4—61no—
577C22⋊C4—101no—
578C22⋊C4—301no—
579C22⋊C4—301no—
580C22⋊C4—301no—
581C22⋊C4—301no—
582C42—51no—
583C42—101no—
584C42—301no—
585C42C2×D3×D511yescharacteristic
586C3×C5#308111yescharacteristic, complemented, Hall
587C22×C3—52no—
588C22×C3—101no—
589C22×C3—101no—
590C22×C3C2×D4×D511yescharacteristic
591C2×D3—22no—
592C2×D3—41no—
593C2×D3—41no—
594C2×D3—102no—
595C2×D3—201no—
596C2×D3—201no—
597C2×D3—404no—
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—41no—
601C3×C4—41no—
602C3×C4—52no—
603C3×C4—101no—
604C3×C4—101no—
605C3×C4—201no—
606C3×C4—201no—
607C3×C4C2×Q8×D511yescharacteristic
608C3×C4D5×#4111yescharacteristic
609Dic3—41no—
610Dic3—201no—
611C2×C5—122no—
612C2×C5C2×#94611yescharacteristic
613C2×C5#583511yescharacteristic
614C2×C5#583711yescharacteristic
615D5—22no—
616D5—122no—
617C23—51no—
618C23—61no—
619C23—304no—
620C23—301no—
621C23—1201no—
622C23—1201no—
623Q8—401no—
624Q8—401no—
625D4—32no—
626D4—61no—
627D4—152no—
628D4—304no—
629D4—301no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—51no—
633C2×C4—52no—
634C2×C4—52no—
635C2×C4—51no—
636C2×C4—51no—
637C2×C4—61no—
638C2×C4—101no—
639C2×C4—101no—
640C2×C4—241no—
641C2×C4—301no—
642C2×C4—401no—
643C2×C4—1201no—
644C2×C4—1201no—
645C2×C4—1201no—
646C2×C4D5×#6711yescharacteristic
647C2×C4D5×#6711yescharacteristic
648C2×C4C22×D3×D511yescharacteristic
649C8—61no—
650C8—61no—
651C8—301no—
652C8—301no—
653C2×C3—102no—
654C2×C3D5×C22⋊Q811yescharacteristic
655C2×C3#6610311yescharacteristic
656C2×C3#6610911yescharacteristic
657D3—42no—
658D3—202no—
659C5#8347411yescharacteristic, complemented, Sylow
660C22—52no—
661C22—62no—
662C22—101no—
663C22—101no—
664C22—121no—
665C22—121no—
666C22—302no—
667C22—601no—
668C22—601no—
669C22—1204no—
670C22C2×D5×#6711yescharacteristic
671C4—21no—
672C4—21no—
673C4—41no—
674C4—41no—
675C4—52no—
676C4—101no—
677C4—101no—
678C4—121no—
679C4—201no—
680C4—201no—
681C4—601no—
682C4D3×Q8×D511yescharacteristic
683C4D5×#23911yescharacteristic
684C3#1061290011yescharacteristic, complemented, Sylow
685C2—102no—
686C2—122no—
687C2—602no—
688C2D5×#94611yescharacteristic
689C2#1175531711yescharacteristic
690C2#1175531811yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#125C22
socleC22×C3×C5C22×D4
prime radicalC2×D5×D12C22
hypercenter#125D3×D5
hypocenterC3×C5#3081
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×#66023C2semidirect
3. #11751167C2semidirect
4. C5×#5066C2semidirect
7. #11747453C2semidirect
8. #11747432C2semidirect
9. #11747243C2semidirect
10. #11747242C2semidirect
11. #11747240C2semidirect
12. #11747237C2semidirect
13. #11746985C2semidirect
14. #11746971C2semidirect
15. #11746882C2semidirect
18. C3×C5×#125C22semidirect
25. C3×#4036C22semidirect
28. C3×#4034C22semidirect
30. C3×#4015C22semidirect
42. #91092C22semidirect
43. #91091C22semidirect
44. C4⋊(C3⋊#168)C22semidirect
47. C5×#808C22semidirect
48. C5×#807C22semidirect
49. C5×C4⋊(C3⋊C8)C22semidirect
50. #90990C22semidirect
51. #90990C22semidirect
52. #90986C22semidirect
53. #90986C22semidirect
54. #90982C22semidirect
55. #90982C22semidirect
61. #66023D3semidirect
89. D5×D12Q8semidirect
132. #5066D5semidirect
139. C5×#125C2×D3semidirect
152. #4036C2×D3semidirect
155. #4034C2×D3semidirect
160. #4015C2×D3semidirect
224. C3×#125C2×D5semidirect
252. #808C2×D5semidirect
256. #807C2×D5semidirect
260. C4⋊(C3⋊C8)C2×D5semidirect
438. #125D3×D5semidirect
586. C3×C5#3081semidirect
659. C5#83474semidirect
684. C3#10612900semidirect

Maximal subgroups

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

subgroupindex
C3×#660232
#117527252
#117511672
C5×#50662
#117474752
D5×#8092
#117474532
#117474322
#117472432
#117472422
#117472402
#117472372
#117469852
#117469712
#117468822
#106129003
#834745