Finite Group Databasebeta

← #14416623

Subgroups — #14416623

Order 1920.

984 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Dic3×#713C211yesmaximal, characteristic, complemented
2C2×#91516C211yesmaximal, characteristic
3#11753403C211yesmaximal, characteristic, complemented
4#11750918C211yesmaximal, characteristic, complemented
5C5×#4789C211yesmaximal, characteristic, complemented
6C3×#65093C211yesmaximal, characteristic, complemented
7#11749266C211yesmaximal, characteristic, complemented
8#11749235C211yesmaximal, characteristic, complemented
9#11747741C211yesmaximal, characteristic, complemented
10#11747736C211yesmaximal, characteristic, complemented
11#11747642C211yesmaximal, characteristic, complemented
12D5×#815C211yesmaximal, characteristic, complemented
13#11747433C211yesmaximal, characteristic, complemented
14#11747229C211yesmaximal, characteristic, complemented
15#11747222C211yesmaximal, characteristic, complemented
16#10611559—31nomaximal, Hall
17C2×C3×#713C2211yescharacteristic
18C2×#6773C2211yescharacteristic
19Q8×Dic15C2211yescharacteristic
20C2×#6717C2211yescharacteristic
21#91782C2211yescharacteristic
22C5×Q8×Dic3C2211yescharacteristic
23C2×C5×#216C2211yescharacteristic
24C5×#887C2211yescharacteristic
25C2×C3×C8×D5C2211yescharacteristic
26C3×#4038C2211yescharacteristic
27#91516C418yescomplemented
28#91434—21no—
29#91434C2211yescharacteristic
30#91428C2211yescharacteristic
31Dic3×D20—21no—
32Dic3×D20C2211yescharacteristic
33#91402—21no—
34C4×#1200—21no—
35#91396—21no—
36#91395—21no—
37C4×D5×Dic3—21no—
38C4×D5×Dic3C2211yescharacteristic
39#91358—21no—
40#91358C2211yescharacteristic
41#91344C2211yescharacteristic
42C2×#6655C2211yescharacteristic
43C2×#6653C2211yescharacteristic
44C2×D5×C3⋊C8C2211yescharacteristic
45C3×C5×#103C2211yescharacteristic
46#91105C2211yescharacteristic
47#91099C2211yescharacteristic
48#91091C2211yescharacteristic
49C5×#816C2211yescharacteristic
50C5×#815C2211yescharacteristic
51C5×#808C2211yescharacteristic
52C3×#3967C2211yescharacteristic
53C3×#3953C2211yescharacteristic
54C3×#3941C2211yescharacteristic
55#90989C2211yescharacteristic
56#90987C2211yescharacteristic
57#90973C2211yescharacteristic
58#90969C2211yescharacteristic
59#90954C2211yescharacteristic
60#90953C2211yescharacteristic
61#78819—51nomaximal, Hall
62C2×#4065—31no—
63C4×#713—31no—
64C4×#713—31no—
65C5×#441—31no—
66#65473—31no—
67#65315—31no—
68#65315—31no—
69#65158—31no—
70#65149—31no—
71#65106—31no—
72#65106—31no—
73#65093—31no—
74#65093D311yescharacteristic, complemented
75#65000—31no—
76D5×#97—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×D60C2311yescharacteristic
79C2×C4×D15—21no—
80C2×C5×Dic6C2311yescharacteristic
81C3×#713—22no—
82C3×#713C2×C414yescomplemented
83C2×C3×D20—21no—
84C2×C3×D20C2311yescharacteristic
85C2×C3×C4×D5—21no—
86C2×C3×C4×D5C2311yescharacteristic
87C2×#1202—21no—
88C2×#1200—21no—
89C2×#1200—21no—
90C2×D5×Dic3—21no—
91C2×D5×Dic3—21no—
92C2×D5×Dic3D411yescharacteristic
93C2×D5×Dic3D411yescharacteristic
94#6773—22no—
95#6773C2×C414yescomplemented
96C2×C3×C5×C8C2311yescharacteristic
97C3×C5×C4⋊C4C2311yescharacteristic
98#6717C2×C414yescomplemented
99#6714—21no—
100C4⋊Dic15—21no—
101C4⋊Dic15C2311yescharacteristic
102C4×Dic15—21no—
103C4×Dic15C2311yescharacteristic
104C2×C3⋊#168C2311yescharacteristic
105C5×#216C2×C414yescomplemented
106C5×C4⋊Dic3—21no—
107C5×C4⋊Dic3C2311yescharacteristic
108C5×Dic3⋊C4—21no—
109C4×C5×Dic3—21no—
110C4×C5×Dic3—21no—
111C4×C5×Dic3C2311yescharacteristic
112C2×C5×C3⋊C8C2311yescharacteristic
113C3×#685—21no—
114C3×C4⋊Dic5C2311yescharacteristic
115C3×C4×Dic5—21no—
116C2×C3×#168C2311yescharacteristic
117C3×C8×D5—22no—
118Dic3⋊Dic5—21no—
119#6667—21no—
120#6665—21no—
121#6665—21no—
122#6665—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5D411yescharacteristic
126Dic3×Dic5D411yescharacteristic
127#6655C2×C414yescomplemented
128#6653C2×C414yescomplemented
129D5×C3⋊C8C2×C414yescomplemented
130Dic3×#41—51no—
131C2×#950—51no—
132#5522—51no—
133C3×#416—51no—
134#5113—51no—
135C2×#815—51no—
136#4998—51no—
137#4817—51no—
138#4817—51no—
139#4789—51no—
140#4789D511yescharacteristic, complemented
141#4785—51no—
142#4785—51no—
143#4757—51no—
144#4757—51no—
145C2×#713—31no—
146C2×#713C2×D311yescharacteristic
147C2×C5×Q16—31no—
148C4×C5×Q8—31no—
149C4×C5×Q8—31no—
150Q8×Dic5—31no—
151Q8×Dic5—31no—
152C2×#688—31no—
153C2×#688—31no—
154#4065—38no—
155C2×D40—31no—
156C2×C8×D5—31no—
157C2×C8×D5C2×D311yescharacteristic
158#4039—31no—
159#4039—31no—
160#4039—61no—
161#4039—61no—
162#4038—31no—
163#4038—61no—
164#4038—61no—
165#4038C2×D311yescharacteristic
166C4×D20—31no—
167C4×D20—31no—
168C4×D20—61no—
169C4×D20—61no—
170C42×D5—31no—
171C42×D5—61no—
172C42×D5—61no—
173C5×#106—31no—
174C5×#103—31no—
175C5×#103C2×D311yescharacteristic
176C5×#97—31no—
177#3967—31no—
178#3967C2×D311yescharacteristic
179#3953—31no—
180#3953C2×D311yescharacteristic
181#3949—31no—
182#3947—31no—
183#3947—31no—
184#3941—31no—
185#3941C2×D311yescharacteristic
186#3939—31no—
187#3939—31no—
188#3935—31no—
189#2943—151noSylow
190C22×D15—21no—
191C22×C3×D5—21no—
192C22×C3×D5C2×D411yescharacteristic
193C3×C5×Q8—21no—
194C3×C5×Q8C22×C412yes—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5C2411yescharacteristic
198C2×Dic15—21no—
199C2×Dic15C2×D411yescharacteristic
200C2×Dic15C2×D411yescharacteristic
201D60—21no—
202D60C22×C412yes—
203C4×D15—42no—
204C2×C5×Dic3—21no—
205C2×C5×Dic3—21no—
206C2×C5×Dic3C2×D411yescharacteristic
207C2×C5×Dic3C2×D411yescharacteristic
208C5×Dic6—21no—
209C5×Dic6C22×C412yes—
210C2×C3×Dic5—21no—
211C2×C3×Dic5C2×D411yescharacteristic
212C3×D20—24no—
213C3×D20—21no—
214C3×D20C22×C412yes—
215C3×C4×D5—24no—
216C3×C4×D5C22×C412yes—
217C3×C4×D5#4112yes—
218#1202—24no—
219#1200—24no—
220#1200—42no—
221D5×Dic3—41no—
222D5×Dic3—41no—
223D5×Dic3—42no—
224D5×Dic3—42no—
225C3×C5×C8—21no—
226C3⋊#168C22×C412yes—
227C3×#168—21no—
228C5×C3⋊C8C22×C412yes—
229C2×C3×#41—51no—
230C2×#235—51no—
231C22×C3×C8—51no—
232C3×#117—51no—
233#950—58no—
234Q8×Dic3—51no—
235Q8×Dic3C2×D511yescharacteristic
236C2×#216C2×D511yescharacteristic
237C2×#215—51no—
238D4×Dic3—51no—
239D4×Dic3—51no—
240D4×Dic3—101no—
241D4×Dic3—101no—
242C2×#214—51no—
243C2×#213—51no—
244#926—51no—
245#926—101no—
246C2×C4×Dic3—51no—
247C2×C4×Dic3—101no—
248C22×C3⋊C8—51no—
249#893—51no—
250#893—51no—
251#887—51no—
252#887C2×D511yescharacteristic
253#67⋊C4—101no—
254#67⋊C4—101no—
255#872—101no—
256C42×D3—101no—
257C3×#103—51no—
258C3×#103C2×D511yescharacteristic
259C3×#102—51no—
260C3×#102—51no—
261#821—51no—
262#821—51no—
263#816—51no—
264#816C2×D511yescharacteristic
265#815—51no—
266#815—51no—
267#815—51no—
268#815C2×D511yescharacteristic
269#808—51no—
270#808C2×D511yescharacteristic
271#807—51no—
272#807—51no—
273C2×C5×Q8—31no—
274C2×C5×Q8C22×D311yescharacteristic
275#713—22no—
276#713—34no—
277#713—62no—
278#713C4×D314yescomplemented
279C2×D20—21no—
280C2×D20—31no—
281C2×D20—61no—
282C2×D20C22×D311yescharacteristic
283C2×C4×D5—21no—
284C2×C4×D5—31no—
285C2×C4×D5—31no—
286C2×C4×D5—61no—
287C2×C4×D5—61no—
288C2×C4×D5—61no—
289C2×C4×D5—61no—
290C2×C4×D5—61no—
291C2×C4×D5C22×D311yescharacteristic
292C5×Q16—34no—
293C2×C5×C8—31no—
294C2×C5×C8C22×D311yescharacteristic
295C5×C4⋊C4—31no—
296C5×C4⋊C4—61no—
297C5×C4⋊C4—61no—
298C5×C4⋊C4C22×D311yescharacteristic
299C42×C5—31no—
300C42×C5—61no—
301C42×C5—61no—
302#688—34no—
303#688—34no—
304#685—21no—
305#685—61no—
306#685—61no—
307#685—61no—
308#685—61no—
309#685—61no—
310C4⋊Dic5—31no—
311C4⋊Dic5—61no—
312C4⋊Dic5—61no—
313C4⋊Dic5C22×D311yescharacteristic
314C4×Dic5—21no—
315C4×Dic5—31no—
316C4×Dic5—31no—
317C4×Dic5—31no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C2×#168—31no—
322C2×#168C22×D311yescharacteristic
323D40—34no—
324C8×D5—22no—
325C8×D5—34no—
326C2×#135—151no—
327C4×#41—151no—
328C4×#41—151no—
329#442—151no—
330#442—151no—
331#441—31no—
332#441—151no—
333#440—151no—
334#440—151no—
335#440—151no—
336#440—151no—
337#427—151no—
338#416—51no—
339#416—151no—
340C2×#97—151no—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—22no—
343C2×D15—41no—
344C2×D15—41no—
345C2×C3×D5—21no—
346C2×C3×D5—21no—
347C2×C3×D5—22no—
348C2×C3×D5—41no—
349C2×C3×D5—41no—
350C2×C3×D5C4×D412yes—
351C3×C4×C5—22no—
352C3×C4×C5—41no—
353C3×C4×C5C23×C411yescharacteristic
354C3×C4×C5C2×#4111yescharacteristic
355Dic15—21no—
356Dic15—21no—
357Dic15—41no—
358C3×Dic5—41no—
359C3×Dic5C4×D412yes—
360C5×Dic3—22no—
361C5×Dic3—21no—
362C5×Dic3—21no—
363C5×Dic3—41no—
364C3×#41—54no—
365C3×#41—102no—
366C2×C3×Q8C22×D511yescharacteristic
367C2×C3×D4—51no—
368C2×C3×D4—101no—
369C22×C3×C4—51no—
370C22×C3×C4—101no—
371C2×#67—101no—
372C22×Dic3—51no—
373C22×Dic3—51no—
374C22×Dic3—101no—
375C22×Dic3—101no—
376#235—54no—
377#235—102no—
378C2×D12—51no—
379C2×C4×D3—101no—
380C2×C4×D3—101no—
381C2×C4×D3—101no—
382C2×Dic6C22×D511yescharacteristic
383C2×C3×C8—51no—
384C2×C3×C8—102no—
385C2×C3×C8C22×D511yescharacteristic
386C3×C4⋊C4—51no—
387C3×C4⋊C4C22×D511yescharacteristic
388C3×C22⋊C4—101no—
389C3×C42—101no—
390#217—101no—
391#217—101no—
392#217—101no—
393#216C4×D514yescomplemented
394#215—54no—
395#214—54no—
396#213—54no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399C4⋊Dic3—21no—
400C4⋊Dic3—51no—
401C4⋊Dic3—101no—
402C4⋊Dic3C22×D511yescharacteristic
403Dic3⋊C4—21no—
404Dic3⋊C4—101no—
405C4×Dic3—21no—
406C4×Dic3—21no—
407C4×Dic3—51no—
408C4×Dic3—51no—
409C4×Dic3—51no—
410C4×Dic3—101no—
411C4×Dic3—101no—
412C4×Dic3—101no—
413C4×Dic3C22×D511yescharacteristic
414C2×C3⋊C8—51no—
415C2×C3⋊C8—54no—
416C2×C3⋊C8C22×D511yescharacteristic
417C22×D5—21no—
418C22×D5—61no—
419C22×D5D3×D411yescharacteristic
420C5×Q8—21no—
421C5×Q8—32no—
422C5×Q8—61no—
423C5×Q8C2×C4×D312yes—
424C2×C4×C5—21no—
425C2×C4×C5—21no—
426C2×C4×C5—31no—
427C2×C4×C5—31no—
428C2×C4×C5—61no—
429C2×C4×C5—61no—
430C2×C4×C5C23×D311yescharacteristic
431C2×Dic5—21no—
432C2×Dic5—31no—
433C2×Dic5—31no—
434C2×Dic5—61no—
435C2×Dic5D3×D411yescharacteristic
436D20—24no—
437D20—21no—
438D20—32no—
439D20—64no—
440D20—61no—
441D20C2×C4×D312yes—
442C4×D5—24no—
443C4×D5—64no—
444C4×D5—122no—
445C4×D5—122no—
446C4×D5—121no—
447C4×D5—121no—
448C4×D5—122no—
449C4×D5—122no—
450C4×D5C2×C4×D312yes—
451C4×D5#23712yes—
452C5×C8—21no—
453C5×C8—32no—
454#168—21no—
455#168—32no—
456C2×#41—51no—
457C2×#41—151no—
458#135—158no—
459C2×Q16—31no—
460C2×SD16—151no—
461C2×SD16—151no—
462C2×D8—151no—
463C22×C8—51no—
464C22×C8—151no—
465C4×Q8—31no—
466C4×Q8—31no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×D4—151no—
470C4×D4—151no—
471C4×D4—151no—
472C4×D4—151no—
473C4×D4—301no—
474C4×D4—301no—
475C4×D4—301no—
476C4×D4—301no—
477#117—51no—
478#117—151no—
479#117—301no—
480#117—301no—
481C2×C42—151no—
482C2×C42—301no—
483C2×C42—301no—
484#107—151no—
485#107—151no—
486#106—31no—
487#106—151no—
488#103—31no—
489#103—51no—
490#103—151no—
491#103D3×D511yescharacteristic
492#102—51no—
493#102—51no—
494#102—151no—
495#102—151no—
496#97—31no—
497#97—151no—
498#97—151no—
499#97—151no—
500C2×C3×C5C2×C4×D411yescharacteristic
501C2×C3×C5#57511yescharacteristic
502C2×C3×C5#57511yescharacteristic
503D15—42no—
504C3×D5—22no—
505C3×D5—42no—
506C23×C3—51no—
507C23×C3—101no—
508C22×D3—101no—
509C3×Q8—21no—
510C3×Q8C2×C4×D512yes—
511C3×D4—52no—
512C3×D4—104no—
513C3×D4—101no—
514C2×C3×C4—21no—
515C2×C3×C4—21no—
516C2×C3×C4—51no—
517C2×C3×C4—52no—
518C2×C3×C4—52no—
519C2×C3×C4—104no—
520C2×C3×C4—101no—
521C2×C3×C4C23×D511yescharacteristic
522#67—104no—
523C2×Dic3—21no—
524C2×Dic3—21no—
525C2×Dic3—51no—
526C2×Dic3—51no—
527C2×Dic3—101no—
528C2×Dic3—201no—
529C2×Dic3—201no—
530C2×Dic3—202no—
531C2×Dic3—202no—
532C2×Dic3D4×D511yescharacteristic
533C2×Dic3D4×D511yescharacteristic
534D12—52no—
535D12—101no—
536C4×D3—104no—
537C4×D3—202no—
538C4×D3—202no—
539Dic6—21no—
540Dic6C2×C4×D512yes—
541C3×C8—21no—
542C3×C8—101no—
543C3⋊C8—52no—
544C3⋊C8C2×C4×D512yes—
545C22×C5C2×D3×D411yescharacteristic
546C2×D5—21no—
547C2×D5—21no—
548C2×D5—22no—
549C2×D5—41no—
550C2×D5—41no—
551C2×D5—62no—
552C2×D5—121no—
553C2×D5—121no—
554C2×D5#67⋊C412yes—
555C4×C5—22no—
556C4×C5—41no—
557C4×C5—62no—
558C4×C5—61no—
559C4×C5—61no—
560C4×C5—121no—
561C4×C5C22×C4×D311yescharacteristic
562C4×C5C2×#23711yescharacteristic
563Dic5—41no—
564Dic5—61no—
565Dic5—61no—
566Dic5—121no—
567Dic5#67⋊C412yes—
568#41—54no—
569#41—102no—
570#41—154no—
571#41—302no—
572C2×Q8—31no—
573C2×Q8C2×D3×D511yescharacteristic
574C2×D4—51no—
575C2×D4—101no—
576C2×D4—151no—
577C2×D4—301no—
578C22×C4—51no—
579C22×C4—101no—
580C22×C4—151no—
581C22×C4—151no—
582C22×C4—301no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—34no—
588SD16—154no—
589SD16—154no—
590D8—154no—
591C2×C8—31no—
592C2×C8—51no—
593C2×C8—102no—
594C2×C8—154no—
595C2×C8—151no—
596C2×C8C2×D3×D511yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—51no—
599C4⋊C4—61no—
600C4⋊C4—61no—
601C4⋊C4—151no—
602C4⋊C4—301no—
603C4⋊C4—301no—
604C4⋊C4C2×D3×D511yescharacteristic
605C22⋊C4—101no—
606C22⋊C4—301no—
607C22⋊C4—301no—
608C22⋊C4—301no—
609C22⋊C4—301no—
610C22⋊C4—301no—
611C42—31no—
612C42—61no—
613C42—61no—
614C42—101no—
615C42—151no—
616C42—151no—
617C42—151no—
618C42—301no—
619C42—301no—
620C42—301no—
621C3×C5#294311yescharacteristic, complemented, Hall
622C22×C3—52no—
623C22×C3—101no—
624C22×C3—101no—
625C22×C3—102no—
626C22×C3—201no—
627C22×C3—201no—
628C22×C3C2×D4×D511yescharacteristic
629C2×D3—102no—
630C2×D3—201no—
631C2×D3—201no—
632C3×C4—22no—
633C3×C4—41no—
634C3×C4—52no—
635C3×C4—201no—
636C3×C4C22×C4×D511yescharacteristic
637C3×C4D5×#4111yescharacteristic
638Dic3—21no—
639Dic3—21no—
640Dic3—22no—
641Dic3—41no—
642Dic3—101no—
643Dic3—101no—
644Dic3—201no—
645C2×C5C2×#67⋊C411yescharacteristic
646C2×C5#576811yescharacteristic
647C2×C5#576811yescharacteristic
648D5—22no—
649D5—42no—
650D5—122no—
651C23—51no—
652C23—101no—
653C23—301no—
654Q8—21no—
655Q8—32no—
656Q8—61no—
657Q8C4×D3×D512yes—
658D4—52no—
659D4—104no—
660D4—101no—
661D4—152no—
662D4—304no—
663D4—301no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—31no—
667C2×C4—31no—
668C2×C4—51no—
669C2×C4—52no—
670C2×C4—52no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—104no—
674C2×C4—101no—
675C2×C4—151no—
676C2×C4—151no—
677C2×C4—304no—
678C2×C4—301no—
679C2×C4—602no—
680C2×C4—602no—
681C2×C4—601no—
682C2×C4—601no—
683C2×C4—602no—
684C2×C4—602no—
685C2×C4C22×D3×D511yescharacteristic
686C8—21no—
687C8—32no—
688C8—101no—
689C8—152no—
690C2×C3—102no—
691C2×C3—202no—
692C2×C3C4×D4×D511yescharacteristic
693C2×C3#6611111yescharacteristic
694C2×C3#6611111yescharacteristic
695D3—202no—
696C5#7881911yescharacteristic, complemented, Sylow
697C22—52no—
698C22—101no—
699C22—101no—
700C22—102no—
701C22—201no—
702C22—201no—
703C22—302no—
704C22—601no—
705C22—601no—
706C22D3×D4×D511yescharacteristic
707C4—22no—
708C4—41no—
709C4—52no—
710C4—61no—
711C4—61no—
712C4—62no—
713C4—121no—
714C4—201no—
715C4—301no—
716C4—301no—
717C4—601no—
718C4C2×C4×D3×D511yescharacteristic
719C4D5×#23711yescharacteristic
720C3#1061155911yescharacteristic, complemented, Sylow
721C2—102no—
722C2—202no—
723C2—602no—
724C2D5×#67⋊C411yescharacteristic
725C2#1175407811yescharacteristic
726C2#1175410411yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#103C22
socleC22×C3×C5C22×D4
prime radicalC2×#91516C2
cosocleC2×C3×C4×C5C24
hypercenter#103D3×D5
hypocenterC3×C5#2943
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
1. Dic3×#713C2semidirect
3. #11753403C2semidirect
4. #11750918C2semidirect
5. C5×#4789C2semidirect
6. C3×#65093C2semidirect
7. #11749266C2semidirect
8. #11749235C2semidirect
9. #11747741C2semidirect
10. #11747736C2semidirect
11. #11747642C2semidirect
12. D5×#815C2semidirect
13. #11747433C2semidirect
14. #11747229C2semidirect
15. #11747222C2semidirect
27. #91516C4semidirect
74. #65093D3semidirect
82. C3×#713C2×C4semidirect
95. #6773C2×C4semidirect
98. #6717C2×C4semidirect
105. C5×#216C2×C4semidirect
127. #6655C2×C4semidirect
128. #6653C2×C4semidirect
129. D5×C3⋊C8C2×C4semidirect
140. #4789D5semidirect
278. #713C4×D3semidirect
393. #216C4×D5semidirect
621. C3×C5#2943semidirect
696. C5#78819semidirect
720. C3#10611559semidirect

Maximal subgroups

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

subgroupindex
Dic3×#7132
C2×#915162
#117534032
#117509182
C5×#47892
C3×#650932
#117492662
#117492352
#117477412
#117477362
#117476422
D5×#8152
#117474332
#117472292
#117472222
#106115593
#788195