Finite Group Databasebeta

← #14430801

Subgroups — #14430801

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
1#11752727C211yesmaximal, characteristic
2#11752661C211yesmaximal, characteristic, complemented
3#11750947C211yesmaximal, characteristic, complemented
4C5×#4839C211yesmaximal, characteristic, complemented
5C3×#65136C211yesmaximal, characteristic, complemented
6#11748107C211yesmaximal, characteristic
7D3×#3953C211yesmaximal, characteristic
8#11747801C211yesmaximal, characteristic, complemented
9#11747790C211yesmaximal, characteristic, complemented
10#11747783C211yesmaximal, characteristic, complemented
11#11747782C211yesmaximal, characteristic, complemented
12#11747682C211yesmaximal, characteristic, complemented
13#11747628C211yesmaximal, characteristic, complemented
14#11746951C211yesmaximal, characteristic, complemented
15#11746881C211yesmaximal, characteristic, complemented
16#10610821—31nomaximal, Hall
17C2×D3×D20C2211yescharacteristic
18C4×D60C2211yescharacteristic
19#91758C2211yescharacteristic, complemented
20C2×C5×ΓL(1,𝔽25)C2211yescharacteristic
21C2×C5×D3×C8C2211yescharacteristic
22C5×#872C2211yescharacteristic
23C3×C4×D20C2211yescharacteristic
24C3×#4016C2211yescharacteristic, complemented
25#91473—21no—
26D5×(C2×D3)⋊C4—21no—
27#91469C2211yescharacteristic, complemented
28#91444—21no—
29#91432—21no—
30#91428C2211yescharacteristic
31D3×C4⋊Dic5C2211yescharacteristic
32Dic3×D20C2211yescharacteristic
33#91417—21no—
34#91396—21no—
35#91381C2211yescharacteristic, complemented
36#91343—21no—
37#91338C2211yescharacteristic
38#91338C2211yescharacteristic
39#91328—21no—
40C3×C5×C4⋊C8C2211yescharacteristic, complemented
41#91105C2211yescharacteristic
42#91105C2211yescharacteristic
43#91102C2211yescharacteristic, complemented
44#91102C2211yescharacteristic, complemented
45C5×Dic3⋊C8C2211yescharacteristic, complemented
46C5×Dic3⋊C8C2211yescharacteristic, complemented
47C5×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
48C3×#3953C2211yescharacteristic
49C3×#3953C2211yescharacteristic
50C3×#3950C2211yescharacteristic, complemented
51C3×#3949C2211yescharacteristic, complemented
52#90990C2211yescharacteristic, complemented
53#90987C2211yescharacteristic, complemented
54#90987C2211yescharacteristic, complemented
55#90987C2211yescharacteristic, complemented
56#90968C2211yescharacteristic
57#90968C2211yescharacteristic
58#90965C2211yescharacteristic
59#90965C2211yescharacteristic
60#81169—51nomaximal, Hall
61#65855—31no—
62#65853—31no—
63C5×#424—31no—
64#65420—31no—
65#65410—31no—
66C2×#3953—31no—
67#65395—31no—
68#65136—31no—
69#65136—31no—
70#65136—31no—
71#65136D311yescharacteristic, complemented
72#65135—31no—
73#65135—31no—
74#65131—31no—
75#65131—31no—
76C22×D3×D5—21no—
77C2×D60C2311yescharacteristic
78C2×C4×D15—21no—
79C2×Dic30—21no—
80C2×C4×C5×D3C2311yescharacteristic
81C2×C3×D20C2311yescharacteristic
82C2×C3×C4×D5—21no—
83C2×#1204—21no—
84C2×#1202—21no—
85C2×#1200—21no—
86C2×D3×Dic5—21no—
87C2×D5×Dic3—21no—
88D3×D20—22no—
89D3×D20Q814yescomplemented
90C2×C3×C5×C8C2311yescharacteristic
91C2×C3×C5×C8C2311yescharacteristic
92C3×C42×C5C2311yescharacteristic
93#6714—21no—
94C4⋊Dic15—21no—
95C4⋊Dic15C2311yescharacteristic
96C4⋊Dic15C2311yescharacteristic
97C4⋊Dic15C2311yescharacteristic
98C5×(C2×D3)⋊C4D411yescharacteristic
99C5×(C2×D3)⋊C4D411yescharacteristic
100C5×Dic3⋊C4D411yescharacteristic
101C5×Dic3⋊C4D411yescharacteristic
102C4×C5×Dic3C2311yescharacteristic
103C2×C5×C3⋊C8C2311yescharacteristic
104C2×C5×C3⋊C8C2311yescharacteristic
105C5×ΓL(1,𝔽25)—22no—
106C5×D3×C8—22no—
107C3×#685—21no—
108C3×C4⋊Dic5C2311yescharacteristic
109C3×C4⋊Dic5C2311yescharacteristic
110C3×C4⋊Dic5C2311yescharacteristic
111C3×#683—21no—
112C3×#683—21no—
113Dic3⋊Dic5—21no—
114Dic3⋊Dic5—21no—
115#6669—21no—
116#6668—21no—
117#6667—21no—
118(C2×D3)⋊Dic5—21no—
119(C2×D3)⋊Dic5—21no—
120#6665—21no—
121Dic3×Dic5—21no—
122Dic3×Dic5—21no—
123#5689—51no—
124#5545—51no—
125C3×#478—51no—
126#5066—51no—
127#5008—51no—
128#4891—51no—
129#4880—51no—
130#4870—51no—
131#4861—51no—
132#4846—51no—
133#4839D511yescharacteristic, complemented
134#4770—51no—
135D3×#102—51no—
136#4766—51no—
137#4759—51no—
138C22×D20—31no—
139C2×C5×M16—31no—
140C22×C5×C8—31no—
141C5×#117—31no—
142#4072—31no—
143#4072—31no—
144C2×C4⋊Dic5—31no—
145#4039—61no—
146#4039—61no—
147#4036—61no—
148#4034—61no—
149D5×C22⋊C4—61no—
150D5×C22⋊C4—61no—
151#4024—61no—
152#4024—61no—
153C4×D20—31no—
154C4×D20—31no—
155C4×D20—31no—
156C4×D20C2×D311yescharacteristic
157#4016—31no—
158#4016C2×D311yescharacteristic, complemented
159#4015—31no—
160#4015—31no—
161C5×C4⋊C8—31no—
162C5×C4⋊C8—31no—
163C5×C4⋊C8—31no—
164C5×C4⋊C8C2×D311yescharacteristic, complemented
165#3953—31no—
166#3953—31no—
167#3953—31no—
168#3953—31no—
169#3953—31no—
170#3953—31no—
171#3953C2×D311yescharacteristic
172#3953C2×D311yescharacteristic
173#3950—31no—
174#3950—31no—
175#3950—31no—
176#3950C2×D311yescharacteristic, complemented
177#3949—31no—
178#3949—31no—
179#3949—31no—
180#3949C2×D311yescharacteristic, complemented
181#3081—151noSylow
182C22×D15—21no—
183C22×C5×D3C2×D411yescharacteristic
184C22×C3×D5—21no—
185C2×D3×D5—24no—
186C2×D3×D5—81no—
187C2×D3×D5—81no—
188C2×C3×C4×C5C2×D411yescharacteristic
189C2×C3×C4×C5C2×D411yescharacteristic
190C2×C3×C4×C5C2411yescharacteristic
191C2×Dic15—21no—
192C2×Dic15—21no—
193C2×Dic15—21no—
194D60—21no—
195D60C2×Q812yes—
196C4×D15—81no—
197Dic30—81no—
198C2×C5×Dic3C2×D411yescharacteristic
199C2×C5×Dic3C2×D411yescharacteristic
200C2×C5×Dic3C2×D411yescharacteristic
201C4×C5×D3C2×Q812yes—
202C4×C5×D3#4112yes—
203C2×C3×Dic5—21no—
204C2×C3×Dic5—21no—
205C2×C3×Dic5—21no—
206C3×D20—21no—
207C3×D20C2×Q812yes—
208C3×C4×D5—81no—
209#1204—81no—
210#1202—24no—
211#1200—81no—
212D3×Dic5—81no—
213D5×Dic3—81no—
214C3×C5×C8—21no—
215C3×C5×C8—21no—
216C5×C3⋊C8—21no—
217C5×C3⋊C8—21no—
218C2×D3×D4—51no—
219C3×#125—51no—
220C3×C4×D4—51no—
221D4×Dic3—51no—
222C4×#67—101no—
223C2×(C2×D3)⋊C4—101no—
224C2×ΓL(1,𝔽25)C2×D511yescharacteristic
225C2×D3×C8C2×D511yescharacteristic
226#897—101no—
227#896—101no—
228#893—51no—
229#892—51no—
230#892—51no—
231D3×C4⋊C4—51no—
232#890—51no—
233#889—101no—
234#888—51no—
235#888—101no—
236#67⋊C4—101no—
237D3×C22⋊C4—101no—
238C4×D12—51no—
239#872C2×D511yescharacteristic
240#869—51no—
241C3×#107—51no—
242C3×#106—51no—
243C3×C4⋊C8C2×D511yescharacteristic, complemented
244C3×#102—51no—
245C3×#102—51no—
246#832—51no—
247#832—51no—
248#821—51no—
249#821—51no—
250#818—51no—
251#818—51no—
252Dic3⋊C8C2×D511yescharacteristic, complemented
253Dic3⋊C8C2×D511yescharacteristic, complemented
254#809—51no—
255#809—51no—
256#808—51no—
257#808—51no—
258#808—51no—
259#807—51no—
260C4⋊(C3⋊C8)C2×D511yescharacteristic, complemented
261C23×D5—61no—
262C22×C4×C5—31no—
263C22×Dic5—61no—
264C2×D20—31no—
265C2×D20—34no—
266C2×D20—62no—
267C2×D20—61no—
268C2×D20C22×D311yescharacteristic
269C2×C4×D5—21no—
270C2×C4×D5—61no—
271C2×C4×D5—61no—
272C2×C4×D5—61no—
273C2×Dic10—61no—
274C2×Dic10—61no—
275C5×M16—62no—
276C2×C5×C8—31no—
277C2×C5×C8—31no—
278C2×C5×C8—62no—
279C2×C5×C8C22×D311yescharacteristic
280C2×C5×C8C22×D311yescharacteristic
281C5×C4⋊C4—31no—
282C5×C4⋊C4—31no—
283C5×C22⋊C4—31no—
284C5×C22⋊C4—31no—
285C42×C5—31no—
286C42×C5C22×D311yescharacteristic
287C22⋊Dic5—61no—
288C22⋊Dic5—61no—
289#685—21no—
290#685—61no—
291#685—61no—
292#685—61no—
293C4⋊Dic5—31no—
294C4⋊Dic5—31no—
295C4⋊Dic5—31no—
296C4⋊Dic5—61no—
297C4⋊Dic5—61no—
298C4⋊Dic5—61no—
299C4⋊Dic5C22×D311yescharacteristic
300C4⋊Dic5C22×D311yescharacteristic
301C4⋊Dic5C22×D311yescharacteristic
302#683—21no—
303#683—21no—
304#683—61no—
305#683—61no—
306C4×Dic5—61no—
307C4×Dic5—61no—
308#544—151no—
309#518—151no—
310#478—51no—
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—31no—
321#418—151no—
322C2×#102—151no—
323C22×C3×C5C22×D411yescharacteristic
324C2×D15—22no—
325C2×D15—41no—
326C2×D15—41no—
327C2×C5×D3—21no—
328C2×C5×D3—21no—
329C2×C5×D3C22⋊Q812yes—
330C2×C3×D5—22no—
331C2×C3×D5—41no—
332C2×C3×D5—41no—
333D3×D5—84no—
334C3×C4×C5—21no—
335C3×C4×C5—21no—
336C3×C4×C5C22×Q811yescharacteristic
337C3×C4×C5C2×#4111yescharacteristic
338Dic15—41no—
339Dic15—41no—
340Dic15—41no—
341C3×Dic5—41no—
342C3×Dic5—41no—
343C3×Dic5—41no—
344C5×Dic3—21no—
345C5×Dic3—21no—
346C5×Dic3C22⋊Q812yes—
347C23×D3—101no—
348C2×C3×D4—51no—
349C22×C3×C4—101no—
350C2×#67—101no—
351C22×Dic3—101no—
352D3×D4—54no—
353D3×D4—102no—
354C2×D12—51no—
355C2×C4×D3—101no—
356C2×C4×D3—101no—
357C2×C4×D3—101no—
358C2×C4×D3C22×D511yescharacteristic
359C2×Dic6—101no—
360C2×Dic6—101no—
361C2×C3×C8C22×D511yescharacteristic
362C2×C3×C8C22×D511yescharacteristic
363C3×C4⋊C4—51no—
364C3×C4⋊C4—51no—
365C3×C4⋊C4—51no—
366C3×C4⋊C4—101no—
367C3×C4⋊C4—101no—
368C3×C22⋊C4—101no—
369C3×C42C22×D511yescharacteristic
370#217—101no—
371(C2×D3)⋊C4—101no—
372(C2×D3)⋊C4—101no—
373(C2×D3)⋊C4—101no—
374(C2×D3)⋊C4—101no—
375(C2×D3)⋊C4D2011yescharacteristic
376(C2×D3)⋊C4D2011yescharacteristic
377C4⋊Dic3—51no—
378C4⋊Dic3—51no—
379C4⋊Dic3—51no—
380C4⋊Dic3—101no—
381C4⋊Dic3—101no—
382Dic3⋊C4—101no—
383Dic3⋊C4—101no—
384Dic3⋊C4—101no—
385Dic3⋊C4D2011yescharacteristic
386Dic3⋊C4D2011yescharacteristic
387C4×Dic3—101no—
388C4×Dic3—101no—
389C4×Dic3C22×D511yescharacteristic
390C2×C3⋊C8C22×D511yescharacteristic
391C2×C3⋊C8C22×D511yescharacteristic
392ΓL(1,𝔽25)—22no—
393D3×C8—22no—
394C23×C5—31no—
395C22×D5—21no—
396C22×D5—64no—
397C22×D5—61no—
398C22×D5—241no—
399C22×D5—241no—
400C2×C4×C5—31no—
401C2×C4×C5—32no—
402C2×C4×C5—32no—
403C2×C4×C5—31no—
404C2×C4×C5—31no—
405C2×C4×C5D3×D411yescharacteristic
406C2×C4×C5D3×D411yescharacteristic
407C2×C4×C5C23×D311yescharacteristic
408C2×Dic5—21no—
409C2×Dic5—21no—
410C2×Dic5—21no—
411C2×Dic5—61no—
412C2×Dic5—61no—
413C2×Dic5—61no—
414C2×Dic5—241no—
415D20—21no—
416D20—32no—
417D20—64no—
418D20—61no—
419D20D3×Q812yes—
420C4×D5—81no—
421C4×D5—241no—
422C4×D5—241no—
423C4×D5—241no—
424Dic10—241no—
425Dic10—241no—
426C5×C8—21no—
427C5×C8—21no—
428C5×C8—61no—
429C5×C8—61no—
430C22×D4—151no—
431C2×M16—31no—
432C22×C8—31no—
433C4⋊Q8—151no—
434C4⋊Q8—151no—
435C4⋊Q8—301no—
436#125—51no—
437#125—151no—
438#125—301no—
439C22⋊Q8—301no—
440C22⋊Q8—301no—
441C4×D4—51no—
442C4×D4—151no—
443C4×D4—151no—
444C4×D4—151no—
445C4×D4—301no—
446C4×D4—301no—
447#117—31no—
448#117—151no—
449#117—151no—
450C2×C4⋊C4—151no—
451C2×C22⋊C4—301no—
452C2×C22⋊C4—301no—
453#107—51no—
454#107—151no—
455#107—151no—
456#107—151no—
457#106—51no—
458#106—151no—
459#106—151no—
460#106—151no—
461C4⋊C8—31no—
462C4⋊C8—31no—
463C4⋊C8—31no—
464C4⋊C8D3×D511yescharacteristic, complemented
465#102—51no—
466#102—51no—
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—42no—
478C5×D3—22no—
479C23×C3—101no—
480C22×D3—101no—
481C22×D3—104no—
482C22×D3—401no—
483C22×D3—401no—
484C22×D3C2×D2011yescharacteristic
485C3×D4—52no—
486C3×D4—101no—
487C2×C3×C4—101no—
488C2×C3×C4—101no—
489C2×C3×C4—101no—
490C2×C3×C4—401no—
491C2×C3×C4C2×D2011yescharacteristic
492C2×C3×C4C2×D2011yescharacteristic
493C2×C3×C4C23×D511yescharacteristic
494#67—104no—
495C2×Dic3—101no—
496C2×Dic3—101no—
497C2×Dic3—101no—
498C2×Dic3—401no—
499C2×Dic3C2×D2011yescharacteristic
500C2×Dic3C2×D2011yescharacteristic
501C2×Dic3C2×D2011yescharacteristic
502D12—52no—
503D12—101no—
504C4×D3—401no—
505C4×D3—401no—
506C4×D3—401no—
507C4×D3#71112yes—
508C4×D3Q8×D512yes—
509Dic6—401no—
510Dic6—401no—
511C3×C8—21no—
512C3×C8—21no—
513C3⋊C8—21no—
514C3⋊C8—21no—
515C22×C5—32no—
516C22×C5—61no—
517C22×C5—61no—
518C22×C5C2×D3×D411yescharacteristic
519C2×D5—22no—
520C2×D5—41no—
521C2×D5—41no—
522C2×D5—62no—
523C2×D5—121no—
524C2×D5—121no—
525C2×D5—244no—
526C4×C5—21no—
527C4×C5—21no—
528C4×C5—32no—
529C4×C5—61no—
530C4×C5—61no—
531C4×C5C2×D3×Q811yescharacteristic
532C4×C5D3×#4111yescharacteristic
533Dic5—41no—
534Dic5—41no—
535Dic5—41no—
536Dic5—121no—
537Dic5—121no—
538Dic5—121no—
539C24—301no—
540C2×Q8—301no—
541C2×Q8—301no—
542C2×D4—51no—
543C2×D4—154no—
544C2×D4—151no—
545C2×D4—302no—
546C2×D4—301no—
547C22×C4—31no—
548C22×C4—101no—
549C22×C4—301no—
550C22×C4—301no—
551C22×C4—301no—
552C22×C4—301no—
553M16—62no—
554C2×C8—31no—
555C2×C8—31no—
556C2×C8—62no—
557C2×C8C2×D3×D511yescharacteristic
558C2×C8C2×D3×D511yescharacteristic
559C4⋊C4—31no—
560C4⋊C4—31no—
561C4⋊C4—51no—
562C4⋊C4—51no—
563C4⋊C4—51no—
564C4⋊C4—101no—
565C4⋊C4—101no—
566C4⋊C4—151no—
567C4⋊C4—151no—
568C4⋊C4—151no—
569C4⋊C4—301no—
570C4⋊C4—301no—
571C4⋊C4—301no—
572C4⋊C4—301no—
573C4⋊C4—301no—
574C22⋊C4—31no—
575C22⋊C4—31no—
576C22⋊C4—101no—
577C22⋊C4—301no—
578C22⋊C4—301no—
579C22⋊C4—301no—
580C22⋊C4—301no—
581C22⋊C4—301no—
582C42—31no—
583C42—301no—
584C42—301no—
585C42C2×D3×D511yescharacteristic
586C3×C5#308111yescharacteristic, complemented, Hall
587C22×C3—102no—
588C22×C3—201no—
589C22×C3—201no—
590C22×C3C22×D2011yescharacteristic
591C2×D3—21no—
592C2×D3—21no—
593C2×D3—102no—
594C2×D3—201no—
595C2×D3—201no—
596C2×D3—404no—
597C2×D3#404312yes—
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—201no—
601C3×C4—201no—
602C3×C4—201no—
603C3×C4C2×#71111yescharacteristic
604C3×C4C2×Q8×D511yescharacteristic
605Dic3—21no—
606Dic3—21no—
607Dic3—201no—
608Dic3—201no—
609Dic3—201no—
610Dic3#404312yes—
611C2×C5—62no—
612C2×C5D3×C22⋊Q811yescharacteristic
613C2×C5#576911yescharacteristic
614C2×C5#577511yescharacteristic
615D5—42no—
616D5—122no—
617C23—31no—
618C23—101no—
619C23—304no—
620C23—301no—
621C23—1201no—
622C23—1201no—
623Q8—1201no—
624Q8—1201no—
625D4—52no—
626D4—101no—
627D4—152no—
628D4—304no—
629D4—301no—
630C2×C4—31no—
631C2×C4—32no—
632C2×C4—32no—
633C2×C4—31no—
634C2×C4—31no—
635C2×C4—101no—
636C2×C4—101no—
637C2×C4—101no—
638C2×C4—301no—
639C2×C4—301no—
640C2×C4—301no—
641C2×C4—401no—
642C2×C4—1201no—
643C2×C4—1201no—
644C2×C4—1201no—
645C2×C4—1201no—
646C2×C4D3×D2011yescharacteristic
647C2×C4D3×D2011yescharacteristic
648C2×C4C22×D3×D511yescharacteristic
649C8—21no—
650C8—21no—
651C8—61no—
652C8—61no—
653C2×C3—202no—
654C2×C3C2×#404311yescharacteristic
655C2×C3#6608511yescharacteristic
656C2×C3#6608611yescharacteristic
657D3—22no—
658D3—202no—
659C5#8116911yescharacteristic, complemented, Sylow
660C22—32no—
661C22—61no—
662C22—61no—
663C22—102no—
664C22—201no—
665C22—201no—
666C22—302no—
667C22—601no—
668C22—601no—
669C22—1204no—
670C22C2×D3×D2011yescharacteristic
671C4—21no—
672C4—21no—
673C4—32no—
674C4—61no—
675C4—61no—
676C4—201no—
677C4—201no—
678C4—201no—
679C4—601no—
680C4—601no—
681C4—601no—
682C4D3×#71111yescharacteristic
683C4D3×Q8×D511yescharacteristic
684C3#1061082111yescharacteristic, complemented, Sylow
685C2—62no—
686C2—202no—
687C2—602no—
688C2D3×#404311yescharacteristic
689C2#1175397311yescharacteristic
690C2#1175403011yescharacteristic
subgroupG/H
centerC22C2×D3×D20
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×C4⋊C8C22
socleC22×C3×C5C22×D4
prime radicalC2×D3×D20C22
hypercenterC4⋊C8D3×D5
hypocenterC3×C5#3081
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
2. #11752661C2semidirect
3. #11750947C2semidirect
4. C5×#4839C2semidirect
5. C3×#65136C2semidirect
8. #11747801C2semidirect
9. #11747790C2semidirect
10. #11747783C2semidirect
11. #11747782C2semidirect
12. #11747682C2semidirect
13. #11747628C2semidirect
14. #11746951C2semidirect
15. #11746881C2semidirect
19. #91758C22semidirect
24. C3×#4016C22semidirect
27. #91469C22semidirect
35. #91381C22semidirect
40. C3×C5×C4⋊C8C22semidirect
43. #91102C22semidirect
44. #91102C22semidirect
45. C5×Dic3⋊C8C22semidirect
46. C5×Dic3⋊C8C22semidirect
47. C5×C4⋊(C3⋊C8)C22semidirect
50. C3×#3950C22semidirect
51. C3×#3949C22semidirect
52. #90990C22semidirect
53. #90987C22semidirect
54. #90987C22semidirect
55. #90987C22semidirect
71. #65136D3semidirect
89. D3×D20Q8semidirect
133. #4839D5semidirect
158. #4016C2×D3semidirect
164. C5×C4⋊C8C2×D3semidirect
176. #3950C2×D3semidirect
180. #3949C2×D3semidirect
243. C3×C4⋊C8C2×D5semidirect
252. Dic3⋊C8C2×D5semidirect
253. Dic3⋊C8C2×D5semidirect
260. C4⋊(C3⋊C8)C2×D5semidirect
464. C4⋊C8D3×D5semidirect
586. C3×C5#3081semidirect
659. C5#81169semidirect
684. C3#10610821semidirect

Maximal subgroups

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

subgroupindex
#117527272
#117526612
#117509472
C5×#48392
C3×#651362
#117481072
D3×#39532
#117478012
#117477902
#117477832
#117477822
#117476822
#117476282
#117469512
#117468812
#106108213
#811695