Finite Group Databasebeta

← #14417218

Subgroups — #14417218

Order 1920.

940 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
1C3×#65906C211yesmaximal, characteristic, complemented
2C2×#91513C211yesmaximal, characteristic
3#11752669C211yesmaximal, characteristic
4#11751131C211yesmaximal, characteristic, complemented
5C4×C5×#215C211yesmaximal, characteristic, complemented
6#11749244C211yesmaximal, characteristic, complemented
7#11749223C211yesmaximal, characteristic, complemented
8D5×#835C211yesmaximal, characteristic, complemented
9#11747499C211yesmaximal, characteristic
10#11747269C211yesmaximal, characteristic, complemented
11#11747218C211yesmaximal, characteristic, complemented
12#11747189C211yesmaximal, characteristic, complemented
13C4×#6662C211yesmaximal, characteristic, complemented
14#11747050C211yesmaximal, characteristic, complemented
15#11746974C211yesmaximal, characteristic, complemented
16#10611379—31nomaximal, Hall
17C2×C3×Q8×D5C2211yescharacteristic
18C2×#6772C2211yescharacteristic
19C3×C4×C5×Q8C2211yescharacteristic
20C2×#6718C2211yescharacteristic
21C4×Dic30C2211yescharacteristic
22C2×C5×#215C2211yescharacteristic
23C4×C5×D12C2211yescharacteristic
24C3×Q8×Dic5C2211yescharacteristic
25C3×#4038—21no—
26C3×#4038C2211yescharacteristic
27C3×#4033—21no—
28C3×#4033C2211yescharacteristic
29C3×#4018—21no—
30C3×#4018C2211yescharacteristic
31C3×C4×Dic10—21no—
32C3×C4×Dic10C2211yescharacteristic
33#91513C418yescomplemented
34#91442—21no—
35#91441—21no—
36Dic5×D12C2211yescharacteristic
37D5×C4⋊Dic3C2211yescharacteristic
38#91400—21no—
39D3×#683—21no—
40#91333C2211yescharacteristic
41C2×#6662C2211yescharacteristic
42C2×#6656C2211yescharacteristic
43C2×#6649C2211yescharacteristic
44C2×D5×C3⋊C8C2211yescharacteristic
45#91119C2211yescharacteristic
46#91094C2211yescharacteristic
47#91092C2211yescharacteristic
48#91087C2211yescharacteristic
49C5×#835C2211yescharacteristic
50C5×#809C2211yescharacteristic
51C5×#808C2211yescharacteristic
52C4×C5×C3⋊C8C2211yescharacteristic
53#90990C2211yescharacteristic
54#90989C2211yescharacteristic
55#90974C2211yescharacteristic
56#90971C2211yescharacteristic
57#90970C2211yescharacteristic
58#90966C2211yescharacteristic
59#90952C2211yescharacteristic
60Dic5×C3⋊C8C2211yescharacteristic
61#82547—51nomaximal, Hall
62C2×#4061—31no—
63#65906D311yescharacteristic, complemented
64#65880—31no—
65C4×C5×SD16—31no—
66#65453—31no—
67#65319—31no—
68#65307—31no—
69#65150—31no—
70#65142—31no—
71D5×#103—31no—
72#65079—31no—
73#65061—31no—
74#65047—31no—
75C4×Dic20—31no—
76#64978—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×Dic30C2311yescharacteristic
79C2×C5×D12C2311yescharacteristic
80C2×C4×C5×D3—21no—
81C3×Q8×D5—22no—
82C3×Q8×D5C2×C414yescomplemented
83C2×C3×C4×D5—21no—
84C2×C3×C4×D5C2311yescharacteristic
85C2×C3×Dic10—21no—
86C2×C3×Dic10C2311yescharacteristic
87C2×#1201—21no—
88C2×D3×Dic5—21no—
89C2×D3×Dic5—21no—
90C2×D5×Dic3—21no—
91#6772—22no—
92#6772C2×C414yes—
93C3×C5×C4⋊C4—21no—
94C3×C5×C4⋊C4C2311yescharacteristic
95C3×C42×C5—21no—
96C3×C42×C5C2311yescharacteristic
97#6718C2×C414yescomplemented
98C4⋊Dic15C2311yescharacteristic
99#6712—21no—
100C4×Dic15—21no—
101C2×C3⋊#168C2311yescharacteristic
102C2×C3⋊#168C2311yescharacteristic
103C5×#215C2×C414yescomplemented
104C5×(C2×D3)⋊C4—21no—
105C5×C4⋊Dic3C2311yescharacteristic
106C2×C5×C3⋊C8C2311yescharacteristic
107C2×C5×C3⋊C8C2311yescharacteristic
108C3×#685—21no—
109C3×#685D411yescharacteristic
110C3×#685D411yescharacteristic
111C3×C4⋊Dic5—21no—
112C3×C4⋊Dic5C2311yescharacteristic
113C3×#683—21no—
114C3×#683—21no—
115C3×#683D411yescharacteristic
116C3×#683D411yescharacteristic
117C3×C4×Dic5—21no—
118C3×C4×Dic5—21no—
119C3×C4×Dic5—21no—
120C3×C4×Dic5—21no—
121C3×C4×Dic5C2311yescharacteristic
122#6669—21no—
123#6668—21no—
124(C2×D3)⋊Dic5—21no—
125Dic3×Dic5—21no—
126#6662C2×C414yescomplemented
127#6656C2×C414yescomplemented
128#6649C2×C414yescomplemented
129D5×C3⋊C8—22no—
130C3×#519—51no—
131C2×#942—51no—
132#5523—51no—
133C2×#835—51no—
134#5030—51no—
135#5030—51no—
136C4×#216—51no—
137C4×#216—51no—
138#5026—51no—
139#5026—51no—
140C4×#215—51no—
141C4×#215D511yescharacteristic, complemented
142#5002—51no—
143#4997—51no—
144#4995—51no—
145C2×Q8×D5C2×D311yescharacteristic
146C2×#711—31no—
147C2×C5×SD16—31no—
148C4×C5×Q8C2×D311yescharacteristic
149C4×C5×D4—31no—
150Q8×Dic5C2×D311yescharacteristic
151C2×#689—31no—
152D4×Dic5—31no—
153C2×#687—31no—
154C4×C22⋊D5—61no—
155C2×#683—61no—
156#4061—38no—
157C2×Dic20—31no—
158C2×#676—31no—
159C2×C8×D5—31no—
160#4038—21no—
161#4038C2×D311yescharacteristic
162D5×C4⋊C4—31no—
163#4033—21no—
164#4033—31no—
165#4033C2×D311yescharacteristic
166#4027—61no—
167#4023—61no—
168#4018—21no—
169#4018C2×D311yescharacteristic
170C4×Dic10—21no—
171C4×Dic10—31no—
172C4×Dic10C2×D311yescharacteristic
173C5×#106—31no—
174C5×#103—31no—
175C5×#102—31no—
176C4×C5×C8—31no—
177#3967—31no—
178#3964—31no—
179#3950—31no—
180#3948—31no—
181#3948—31no—
182#3947—31no—
183C8×Dic5—31no—
184#3942—31no—
185#3942—31no—
186#3940—31no—
187#3939—31no—
188#3935—31no—
189#2947—151noSylow
190C22×C5×D3—21no—
191C22×C3×D5C2×D411yescharacteristic
192C3×C5×Q8—21no—
193C3×C5×Q8C22×C412yes—
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—
200C2×Dic15—21no—
201Dic30—21no—
202Dic30C22×C412yes—
203C2×C5×Dic3—21no—
204C5×D12—21no—
205C5×D12C22×C412yes—
206C4×C5×D3—81no—
207C2×C3×Dic5—21no—
208C2×C3×Dic5—21no—
209C2×C3×Dic5C2×D411yescharacteristic
210C2×C3×Dic5C2×D411yescharacteristic
211C2×C3×Dic5C2×D411yescharacteristic
212C3×C4×D5—24no—
213C3×C4×D5C22×C412yes—
214C3×C4×D5#4112yes—
215C3×Dic10—21no—
216C3×Dic10—24no—
217C3×Dic10C22×C412yes—
218#1201—24no—
219D3×Dic5—24no—
220D3×Dic5—81no—
221D5×Dic3—81no—
222C3⋊#168—21no—
223C3⋊#168C22×C412yes—
224C5×C3⋊C8—21no—
225C5×C3⋊C8C22×C412yes—
226C22×C3×Q8—51no—
227C2×#235—51no—
228C3×C4×Q8—51no—
229C3×C4×Q8—51no—
230C3×C4×Q8—51no—
231C3×C4×Q8—101no—
232C3×C4×Q8—101no—
233C3×C4×Q8C2×D511yescharacteristic
234C3×#117—51no—
235C3×#117—51no—
236C3×#117—101no—
237C3×#117—101no—
238C2×#216—51no—
239C2×#216—51no—
240#942—58no—
241C2×#215—51no—
242C2×#215C2×D511yescharacteristic
243C2×C4⋊Dic3—51no—
244C2×#208—51no—
245C22×C3⋊C8—51no—
246#892—101no—
247D3×C4⋊C4—101no—
248#67⋊C4—101no—
249#67⋊C4—101no—
250C4×D12—51no—
251C4×D12C2×D511yescharacteristic
252C4×Dic6—51no—
253C4×Dic6—51no—
254#835—51no—
255#835—51no—
256#835—51no—
257#835C2×D511yescharacteristic
258#810—51no—
259#810—51no—
260#809—51no—
261#809C2×D511yescharacteristic
262#808—51no—
263#808C2×D511yescharacteristic
264#807—51no—
265#807—51no—
266#803—51no—
267#803—51no—
268C4×C3⋊C8—51no—
269C4×C3⋊C8C2×D511yescharacteristic
270C2×C5×Q8C22×D311yescharacteristic
271C2×C5×D4—31no—
272C22×C4×C5—61no—
273C2×C22⋊D5—61no—
274C22×Dic5—61no—
275C22×Dic5—61no—
276Q8×D5—22no—
277Q8×D5C4×D314yescomplemented
278#711—34no—
279#711—62no—
280C2×C4×D5—21no—
281C2×C4×D5—61no—
282C2×C4×D5C22×D311yescharacteristic
283C2×Dic10—21no—
284C2×Dic10—31no—
285C2×Dic10C22×D311yescharacteristic
286C5×SD16—34no—
287C2×C5×C8—31no—
288C2×C5×C8—31no—
289C5×C4⋊C4—21no—
290C5×C4⋊C4—31no—
291C5×C4⋊C4C22×D311yescharacteristic
292C5×C22⋊C4—61no—
293C42×C5—21no—
294C42×C5C22×D311yescharacteristic
295C22⋊Dic5—61no—
296#689—34no—
297#687—34no—
298#685—21no—
299#685#6711yescharacteristic
300#685#6711yescharacteristic
301C4⋊Dic5—21no—
302C4⋊Dic5—31no—
303C4⋊Dic5C22×D311yescharacteristic
304#683—21no—
305#683—21no—
306#683—61no—
307#683—61no—
308#683—61no—
309#683#6711yescharacteristic
310#683#6711yescharacteristic
311C4×Dic5—21no—
312C4×Dic5—21no—
313C4×Dic5—21no—
314C4×Dic5—21no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317C4×Dic5C22×D311yescharacteristic
318C2×#168—31no—
319C2×#168—31no—
320Dic20—34no—
321#676—34no—
322C8×D5—62no—
323C2×#137—151no—
324#520—151no—
325#519—51no—
326#441—151no—
327#441—151no—
328#440—151no—
329#440—151no—
330C4×Q16—151no—
331C4×Q16—151no—
332C4×SD16—31no—
333C4×SD16—151no—
334#428—151no—
335#416—151no—
336C2×#103—151no—
337#405—151no—
338C22×C3×C5C22×D411yescharacteristic
339C2×C5×D3—22no—
340C2×C5×D3—41no—
341C2×C5×D3—41no—
342C2×C3×D5—21no—
343C2×C3×D5—21no—
344C2×C3×D5C4×D412yes—
345C3×C4×C5—22no—
346C3×C4×C5—21no—
347C3×C4×C5—21no—
348C3×C4×C5—41no—
349C3×C4×C5C23×C411yescharacteristic
350C3×C4×C5C2×#4111yescharacteristic
351Dic15—22no—
352Dic15—41no—
353C3×Dic5—22no—
354C3×Dic5—21no—
355C3×Dic5—21no—
356C3×Dic5—41no—
357C3×Dic5C4×D412yes—
358C5×Dic3—41no—
359C2×C3×Q8—54no—
360C2×C3×Q8—51no—
361C2×C3×Q8—101no—
362C2×C3×Q8—102no—
363C2×C3×Q8C22×D511yescharacteristic
364C22×C3×C4—51no—
365C22×C3×C4—101no—
366C2×#67—101no—
367C22×Dic3—101no—
368#235—54no—
369#235—102no—
370C2×D12C22×D511yescharacteristic
371C2×C4×D3—21no—
372C2×C4×D3—101no—
373C2×C4×D3—101no—
374C2×Dic6—51no—
375C3×C4⋊C4—21no—
376C3×C4⋊C4—51no—
377C3×C4⋊C4—51no—
378C3×C4⋊C4—51no—
379C3×C4⋊C4—101no—
380C3×C4⋊C4—101no—
381C3×C4⋊C4—101no—
382C3×C4⋊C4C22×D511yescharacteristic
383C3×C22⋊C4—51no—
384C3×C22⋊C4—51no—
385C3×C22⋊C4—101no—
386C3×C42—21no—
387C3×C42—51no—
388C3×C42—101no—
389C3×C42—101no—
390C3×C42—101no—
391C3×C42—101no—
392C3×C42C22×D511yescharacteristic
393#216—54no—
394#216—54no—
395#215—54no—
396#215C4×D514yescomplemented
397(C2×D3)⋊C4—21no—
398(C2×D3)⋊C4—101no—
399C4⋊Dic3—51no—
400C4⋊Dic3—101no—
401C4⋊Dic3C22×D511yescharacteristic
402Dic3⋊C4—101no—
403Dic3⋊C4—101no—
404C4×Dic3—101no—
405C4×Dic3—101no—
406#208—54no—
407C2×C3⋊C8—51no—
408C2×C3⋊C8—51no—
409C2×C3⋊C8—102no—
410C2×C3⋊C8C22×D511yescharacteristic
411C2×C3⋊C8C22×D511yescharacteristic
412C23×C5—61no—
413C22×D5C2×#6711yescharacteristic
414C5×Q8—21no—
415C5×Q8C2×C4×D312yes—
416C5×D4—32no—
417C5×D4—61no—
418C2×C4×C5—21no—
419C2×C4×C5—21no—
420C2×C4×C5—61no—
421C2×C4×C5—241no—
422C2×C4×C5C2×#6711yescharacteristic
423C2×C4×C5C2×#6711yescharacteristic
424C2×C4×C5C23×D311yescharacteristic
425C22⋊D5—64no—
426C2×Dic5—21no—
427C2×Dic5—21no—
428C2×Dic5—61no—
429C2×Dic5—64no—
430C2×Dic5—61no—
431C2×Dic5—241no—
432C2×Dic5C2×#6711yescharacteristic
433C2×Dic5C2×#6711yescharacteristic
434C2×Dic5C2×#6711yescharacteristic
435C4×D5—24no—
436C4×D5—241no—
437C4×D5C2×C4×D312yes—
438C4×D5#23512yes—
439Dic10—21no—
440Dic10—24no—
441Dic10—32no—
442Dic10—61no—
443Dic10C2×C4×D312yes—
444C5×C8—32no—
445C5×C8—61no—
446#168—32no—
447#168—61no—
448C2×#41—151no—
449C22×Q8—51no—
450#137—158no—
451C2×Q16—151no—
452C2×Q16—151no—
453C2×SD16—31no—
454C2×SD16—151no—
455C2×M16—151no—
456C22×C8—151no—
457C4×Q8—51no—
458C4×Q8—51no—
459C4×Q8—51no—
460C4×Q8—101no—
461C4×Q8—101no—
462C4×Q8—151no—
463C4×Q8—151no—
464C4×Q8D3×D511yescharacteristic
465C4×D4—31no—
466C4×D4—151no—
467C4×D4—301no—
468C4×D4—301no—
469#117—51no—
470#117—51no—
471#117—101no—
472#117—101no—
473#117—301no—
474C2×C4⋊C4—151no—
475C2×C4⋊C4—301no—
476#107—151no—
477#107—151no—
478#106—31no—
479#106—151no—
480#103—31no—
481#103—151no—
482#103—151no—
483#103—151no—
484#103—151no—
485#103—151no—
486#102—31no—
487#102—151no—
488#97—151no—
489#97—151no—
490C4×C8—31no—
491C4×C8—151no—
492C2×C3×C5C2×C4×D411yescharacteristic
493C2×C3×C5#57711yescharacteristic
494C2×C3×C5#57811yescharacteristic
495C3×D5—22no—
496C5×D3—42no—
497C23×C3—51no—
498C22×D3—21no—
499C3×Q8—21no—
500C3×Q8—52no—
501C3×Q8—104no—
502C3×Q8—101no—
503C3×Q8C2×C4×D512yes—
504C2×C3×C4—21no—
505C2×C3×C4—21no—
506C2×C3×C4—51no—
507C2×C3×C4—52no—
508C2×C3×C4—52no—
509C2×C3×C4—51no—
510C2×C3×C4—51no—
511C2×C3×C4—104no—
512C2×C3×C4—101no—
513C2×C3×C4—101no—
514C2×C3×C4D4×D511yescharacteristic
515C2×C3×C4D4×D511yescharacteristic
516C2×C3×C4C23×D511yescharacteristic
517#67—104no—
518C2×Dic3—21no—
519C2×Dic3—101no—
520C2×Dic3—101no—
521C2×Dic3—401no—
522D12—21no—
523D12C2×C4×D512yes—
524C4×D3—81no—
525C4×D3—104no—
526C4×D3—401no—
527Dic6—52no—
528Dic6—101no—
529C3⋊C8—21no—
530C3⋊C8—52no—
531C3⋊C8—101no—
532C3⋊C8C2×C4×D512yes—
533C22×C5—62no—
534C22×C5—121no—
535C22×C5—121no—
536C22×C5C22×#6711yescharacteristic
537C2×D5—21no—
538C2×D5—21no—
539C2×D5C4×#6712yes—
540C4×C5—22no—
541C4×C5—21no—
542C4×C5—21no—
543C4×C5—41no—
544C4×C5—121no—
545C4×C5C22×C4×D311yescharacteristic
546C4×C5C2×#23511yescharacteristic
547Dic5—22no—
548Dic5—21no—
549Dic5—21no—
550Dic5—41no—
551Dic5—62no—
552Dic5—121no—
553Dic5C4×#6712yes—
554#41—154no—
555#41—302no—
556C2×Q8—54no—
557C2×Q8—51no—
558C2×Q8—101no—
559C2×Q8—102no—
560C2×Q8—151no—
561C2×Q8C2×D3×D511yescharacteristic
562C2×D4—31no—
563C2×D4—301no—
564C22×C4—51no—
565C22×C4—61no—
566C22×C4—101no—
567C22×C4—301no—
568C22×C4—301no—
569C22×C4—301no—
570Q16—154no—
571Q16—154no—
572SD16—34no—
573SD16—154no—
574M16—154no—
575C2×C8—31no—
576C2×C8—31no—
577C2×C8—151no—
578C2×C8—151no—
579C2×C8—302no—
580C4⋊C4—21no—
581C4⋊C4—31no—
582C4⋊C4—51no—
583C4⋊C4—51no—
584C4⋊C4—51no—
585C4⋊C4—101no—
586C4⋊C4—101no—
587C4⋊C4—101no—
588C4⋊C4—151no—
589C4⋊C4—301no—
590C4⋊C4—301no—
591C4⋊C4—301no—
592C4⋊C4C2×D3×D511yescharacteristic
593C22⋊C4—51no—
594C22⋊C4—51no—
595C22⋊C4—61no—
596C22⋊C4—101no—
597C22⋊C4—301no—
598C42—21no—
599C42—51no—
600C42—101no—
601C42—101no—
602C42—101no—
603C42—101no—
604C42—301no—
605C42—301no—
606C42C2×D3×D511yescharacteristic
607C3×C5#294711yescharacteristic, complemented, Hall
608C22×C3—52no—
609C22×C3—101no—
610C22×C3—101no—
611C22×C3C2×D4×D511yescharacteristic
612C2×D3—22no—
613C2×D3—41no—
614C2×D3—41no—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—22no—
618C3×C4—41no—
619C3×C4—52no—
620C3×C4—101no—
621C3×C4—101no—
622C3×C4—102no—
623C3×C4—201no—
624C3×C4C22×C4×D511yescharacteristic
625C3×C4D5×#4111yescharacteristic
626Dic3—41no—
627Dic3—102no—
628Dic3—201no—
629C2×C5—122no—
630C2×C5C2×C4×#6711yescharacteristic
631C2×C5#583711yescharacteristic
632C2×C5#583811yescharacteristic
633D5—22no—
634C23—51no—
635C23—61no—
636Q8—21no—
637Q8—52no—
638Q8—104no—
639Q8—101no—
640Q8—152no—
641Q8—301no—
642Q8C4×D3×D512yes—
643D4—32no—
644D4—61no—
645D4—304no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—51no—
649C2×C4—52no—
650C2×C4—52no—
651C2×C4—51no—
652C2×C4—51no—
653C2×C4—61no—
654C2×C4—104no—
655C2×C4—101no—
656C2×C4—101no—
657C2×C4—241no—
658C2×C4—304no—
659C2×C4—301no—
660C2×C4—301no—
661C2×C4—1201no—
662C2×C4—1201no—
663C2×C4D5×#6711yescharacteristic
664C2×C4D5×#6711yescharacteristic
665C2×C4C22×D3×D511yescharacteristic
666C8—32no—
667C8—61no—
668C8—152no—
669C8—301no—
670C2×C3—102no—
671C2×C3C4×D4×D511yescharacteristic
672C2×C3#6609611yescharacteristic
673C2×C3#6610511yescharacteristic
674D3—42no—
675C5#8254711yescharacteristic, complemented, Sylow
676C22—52no—
677C22—62no—
678C22—101no—
679C22—101no—
680C22—121no—
681C22—121no—
682C22C2×D5×#6711yescharacteristic
683C4—21no—
684C4—21no—
685C4—22no—
686C4—41no—
687C4—52no—
688C4—101no—
689C4—101no—
690C4—102no—
691C4—121no—
692C4—201no—
693C4—302no—
694C4—601no—
695C4C2×C4×D3×D511yescharacteristic
696C4D5×#23511yescharacteristic
697C3#1061137911yescharacteristic, complemented, Sylow
698C2—102no—
699C2—122no—
700C2C4×D5×#6711yescharacteristic
701C2#1175508511yescharacteristic
702C2#1175533811yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×Q8C22
socleC22×C3×C5C22×D4
prime radicalC2×#6772C22
cosocleC2×C3×C4×C5C24
hypercenterC4×Q8D3×D5
hypocenterC3×C5#2947
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. C3×#65906C2semidirect
4. #11751131C2semidirect
5. C4×C5×#215C2semidirect
6. #11749244C2semidirect
7. #11749223C2semidirect
8. D5×#835C2semidirect
10. #11747269C2semidirect
11. #11747218C2semidirect
12. #11747189C2semidirect
13. C4×#6662C2semidirect
14. #11747050C2semidirect
15. #11746974C2semidirect
33. #91513C4semidirect
63. #65906D3semidirect
82. C3×Q8×D5C2×C4semidirect
97. #6718C2×C4semidirect
103. C5×#215C2×C4semidirect
126. #6662C2×C4semidirect
127. #6656C2×C4semidirect
128. #6649C2×C4semidirect
141. C4×#215D5semidirect
277. Q8×D5C4×D3semidirect
396. #215C4×D5semidirect
607. C3×C5#2947semidirect
675. C5#82547semidirect
697. C3#10611379semidirect

Maximal subgroups

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

subgroupindex
C3×#659062
C2×#915132
#117526692
#117511312
C4×C5×#2152
#117492442
#117492232
D5×#8352
#117474992
#117472692
#117472182
#117471892
C4×#66622
#117470502
#117469742
#106113793
#825475