Finite Group Databasebeta

← #14416226

Subgroups — #14416226

Order 1920.

1000 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×#711C211yesmaximal, characteristic, complemented
2C2×#91490C211yesmaximal, characteristic
3#11753402C211yesmaximal, characteristic, complemented
4#11750859C211yesmaximal, characteristic, complemented
5C5×#4756C211yesmaximal, characteristic, complemented
6C3×#65061C211yesmaximal, characteristic, complemented
7#11749011C211yesmaximal, characteristic, complemented
8#11748994C211yesmaximal, characteristic, complemented
9#11748135C211yesmaximal, characteristic, complemented
10#11747831C211yesmaximal, characteristic, complemented
11#11747737C211yesmaximal, characteristic, complemented
12C8×D5×Dic3C211yesmaximal, characteristic, complemented
13#11747432C211yesmaximal, characteristic, complemented
14#11747271C211yesmaximal, characteristic, complemented
15#11747264C211yesmaximal, characteristic, complemented
16C4×#4058—31nomaximal, Hall
17C2×C3×#711C2211yescharacteristic
18C2×#6772C2211yescharacteristic
19D4×Dic15C2211yescharacteristic
20C2×#6716C2211yescharacteristic
21#91776C2211yescharacteristic
22C5×D4×Dic3C2211yescharacteristic
23C2×C5×#213C2211yescharacteristic
24C5×#893C2211yescharacteristic
25C2×C3×C8×D5C2211yescharacteristic
26C3×#4038C2211yescharacteristic
27#91559—21no—
28Dic3×C22⋊D5—21no—
29#91528—21no—
30C2×Dic3×Dic5—21no—
31#91490C418yescomplemented
32#91442—21no—
33#91441—21no—
34#91435C2211yescharacteristic
35#91398—21no—
36C4×D3×Dic5—21no—
37C4×D5×Dic3C2211yescharacteristic
38#91358C2211yescharacteristic
39#91340C2211yescharacteristic
40#91331C2211yescharacteristic
41Dic3×Dic10C2211yescharacteristic
42C2×#6662C2211yescharacteristic
43C2×#6656C2211yescharacteristic
44C2×D5×C3⋊C8C2211yescharacteristic
45C3×C5×#102C2211yescharacteristic
46#91100C2211yescharacteristic
47C8×Dic15C2211yescharacteristic
48#91092C2211yescharacteristic
49C5×#821C2211yescharacteristic
50C5×C8×Dic3C2211yescharacteristic
51C5×#807C2211yescharacteristic
52C3×#3964C2211yescharacteristic
53C3×#3948C2211yescharacteristic
54C3×#3942C2211yescharacteristic
55#90990C2211yescharacteristic
56#90986C2211yescharacteristic
57#90975C2211yescharacteristic
58#90967C2211yescharacteristic
59#90951C2211yescharacteristic
60Dic3×#168C2211yescharacteristic
61#78818—51nomaximal, Hall
62C2×#4058—31no—
63C4×#711—31no—
64C4×#711—31no—
65C4×C5×D8—31no—
66D8×Dic5—31no—
67C4×#687—31no—
68C4×#687—31no—
69#65169—31no—
70#65162—31no—
71#65061—31no—
72#65061D311yescharacteristic, complemented
73#65047—31no—
74#65047—31no—
75C4×Dic20—31no—
76C4×C8×D5—31no—
77C2×C3×C5×D4C2311yescharacteristic
78C22×Dic15—21no—
79C2×Dic30C2311yescharacteristic
80C22×C5×Dic3—21no—
81C2×C5×D12C2311yescharacteristic
82C2×C4×C5×D3—21no—
83C2×C3×C22⋊D5—21no—
84C22×C3×Dic5—21no—
85C3×#711—22no—
86C3×#711C2×C414yescomplemented
87C2×C3×C4×D5C2311yescharacteristic
88C2×C3×Dic10C2311yescharacteristic
89C2×#1201—21no—
90C2×D3×Dic5—21no—
91C2×D3×Dic5—21no—
92C2×D5×Dic3D411yescharacteristic
93C2×D5×Dic3D411yescharacteristic
94#6772—22no—
95#6772C2×C414yescomplemented
96C2×C3×C5×C8C2311yescharacteristic
97C3×C5×C4⋊C4C2311yescharacteristic
98#6719—21no—
99#6716C2×C414yescomplemented
100C4⋊Dic15C2311yescharacteristic
101#6712—21no—
102C4×Dic15—21no—
103C4×Dic15C2311yescharacteristic
104C2×C3⋊#168C2311yescharacteristic
105C5×#217—21no—
106C5×#213C2×C414yescomplemented
107C5×(C2×D3)⋊C4—21no—
108C5×C4⋊Dic3C2311yescharacteristic
109C4×C5×Dic3C2311yescharacteristic
110C2×C5×C3⋊C8C2311yescharacteristic
111C3×#685—21no—
112C3×C4⋊Dic5C2311yescharacteristic
113C3×C4×Dic5—21no—
114C2×C3×#168C2311yescharacteristic
115C3×C8×D5—22no—
116#6669—21no—
117#6668—21no—
118#6668—21no—
119(C2×D3)⋊Dic5—21no—
120#6665—21no—
121Dic3×Dic5—21no—
122Dic3×Dic5—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5D411yescharacteristic
126Dic3×Dic5D411yescharacteristic
127#6662C2×C414yescomplemented
128#6656C2×C414yescomplemented
129D5×C3⋊C8C2×C414yescomplemented
130Dic3×#41—51no—
131C2×#950—51no—
132#5522—51no—
133C3×#416—51no—
134#5113—51no—
135C2×C8×Dic3—51no—
136#4998—51no—
137#4790—51no—
138#4790—51no—
139#4788—51no—
140#4788—51no—
141#4758—51no—
142#4758—51no—
143#4756—51no—
144#4756D511yescharacteristic, complemented
145C2×#711—31no—
146C2×#711C2×D311yescharacteristic
147C2×C5×D8—31no—
148C4×C5×D4—31no—
149C4×C5×D4—31no—
150D4×Dic5—31no—
151D4×Dic5—31no—
152C2×#687—31no—
153C2×#687—31no—
154C4×C22⋊D5—61no—
155C4×C22⋊D5—61no—
156C2×C4×Dic5—61no—
157C2×C4×Dic5—61no—
158#4058—38no—
159C2×Dic20—31no—
160C2×C8×D5—31no—
161C2×C8×D5C2×D311yescharacteristic
162#4038—31no—
163#4038C2×D311yescharacteristic
164#4033—31no—
165#4033—31no—
166#4027—61no—
167#4027—61no—
168#4023—61no—
169#4023—61no—
170C42×D5—31no—
171C4×Dic10—31no—
172C4×Dic10—31no—
173C5×#107—31no—
174C5×#102—31no—
175C5×#102C2×D311yescharacteristic
176C4×C5×C8—31no—
177#3964—31no—
178#3964C2×D311yescharacteristic
179#3950—31no—
180#3948—31no—
181#3948C2×D311yescharacteristic
182C8×Dic5—31no—
183C8×Dic5—31no—
184#3942—31no—
185#3942C2×D311yescharacteristic
186#3940—31no—
187#3940—31no—
188C4×#168—31no—
189C4×#135—151noSylow
190C23×C3×C5—21no—
191C22×C5×D3—21no—
192C22×C3×D5C2×D411yescharacteristic
193C3×C5×D4—21no—
194C3×C5×D4C22×C412yes—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5C2411yescharacteristic
197C2×Dic15—21no—
198C2×Dic15—21no—
199C2×Dic15—42no—
200C2×Dic15C2×D411yescharacteristic
201C2×Dic15C2×D411yescharacteristic
202Dic30—21no—
203Dic30C22×C412yes—
204C2×C5×Dic3—21no—
205C2×C5×Dic3—42no—
206C2×C5×Dic3C2×D411yescharacteristic
207C2×C5×Dic3C2×D411yescharacteristic
208C5×D12—21no—
209C5×D12C22×C412yes—
210C4×C5×D3—42no—
211C3×C22⋊D5—24no—
212C2×C3×Dic5—21no—
213C2×C3×Dic5—24no—
214C2×C3×Dic5—21no—
215C2×C3×Dic5C2×D411yescharacteristic
216C3×C4×D5C22×C412yes—
217C3×C4×D5#4112yes—
218C3×Dic10—21no—
219C3×Dic10C22×C412yes—
220#1201—24no—
221D3×Dic5—24no—
222D3×Dic5—42no—
223D5×Dic3—22no—
224D5×Dic3—22no—
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×Dic3—51no—
236C2×#216—51no—
237C2×#215—51no—
238D4×Dic3—51no—
239D4×Dic3—101no—
240D4×Dic3—101no—
241D4×Dic3C2×D511yescharacteristic
242C2×#214—51no—
243C2×#213C2×D511yescharacteristic
244#926—51no—
245#926—101no—
246C2×C4×Dic3—51no—
247C2×C4×Dic3—101no—
248C22×C3⋊C8—51no—
249#893—51no—
250#893C2×D511yescharacteristic
251#887—51no—
252#887—51no—
253#67⋊C4—101no—
254#67⋊C4—101no—
255#872—101no—
256C42×D3—101no—
257C3×#103—51no—
258C3×#103—51no—
259C3×#102—51no—
260C3×#102C2×D511yescharacteristic
261#821—51no—
262#821C2×D511yescharacteristic
263#816—51no—
264#816—51no—
265C8×Dic3—51no—
266C8×Dic3—51no—
267C8×Dic3—51no—
268C8×Dic3C2×D511yescharacteristic
269#808—51no—
270#808—51no—
271#807—51no—
272#807C2×D511yescharacteristic
273C2×C5×D4—31no—
274C2×C5×D4C22×D311yescharacteristic
275C22×C4×C5—61no—
276C22×C4×C5—61no—
277C2×C22⋊D5—21no—
278C2×C22⋊D5—61no—
279C22×Dic5—21no—
280C22×Dic5—61no—
281C22×Dic5—61no—
282C22×Dic5—61no—
283#711—22no—
284#711—34no—
285#711—62no—
286#711C4×D314yescomplemented
287C2×C4×D5—31no—
288C2×C4×D5—31no—
289C2×C4×D5C22×D311yescharacteristic
290C2×Dic10—31no—
291C2×Dic10C22×D311yescharacteristic
292C5×D8—34no—
293C2×C5×C8—31no—
294C2×C5×C8C22×D311yescharacteristic
295C5×C4⋊C4—31no—
296C5×C4⋊C4C22×D311yescharacteristic
297C5×C22⋊C4—61no—
298C5×C22⋊C4—61no—
299C42×C5—31no—
300C22⋊Dic5—61no—
301C22⋊Dic5—61no—
302#687—34no—
303#687—34no—
304#685—21no—
305#685—61no—
306C4⋊Dic5—31no—
307C4⋊Dic5C22×D311yescharacteristic
308#683—61no—
309#683—61no—
310#683—61no—
311#683—61no—
312C4×Dic5—21no—
313C4×Dic5—31no—
314C4×Dic5—31no—
315C4×Dic5—31no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C2×#168—31no—
322C2×#168C22×D311yescharacteristic
323Dic20—34no—
324C8×D5—22no—
325C8×D5—34no—
326C2×#135—151no—
327C4×#41—151no—
328C4×#41—151no—
329C4×Q16—151no—
330C4×Q16—151no—
331C4×SD16—151no—
332C4×SD16—151no—
333C4×SD16—151no—
334C4×SD16—151no—
335C4×D8—31no—
336C4×D8—151no—
337#427—151no—
338#416—51no—
339#416—151no—
340C2×C4×C8—151no—
341C22×C3×C5—22no—
342C22×C3×C5—41no—
343C22×C3×C5—41no—
344C22×C3×C5C22×D411yescharacteristic
345C2×C5×D3—22no—
346C2×C5×D3—41no—
347C2×C5×D3—41no—
348C2×C3×D5—21no—
349C2×C3×D5—21no—
350C2×C3×D5C4×D412yes—
351C3×C4×C5—41no—
352C3×C4×C5C23×C411yescharacteristic
353C3×C4×C5C2×#4111yescharacteristic
354Dic15—22no—
355Dic15—21no—
356Dic15—41no—
357Dic15#13512yescomplemented
358C3×Dic5—22no—
359C3×Dic5—41no—
360C3×Dic5C4×D412yes—
361C5×Dic3—21no—
362C5×Dic3—41no—
363C5×Dic3#13512yescomplemented
364C3×#41—54no—
365C3×#41—102no—
366C2×C3×Q8—51no—
367C2×C3×D4—101no—
368C2×C3×D4C22×D511yescharacteristic
369C22×C3×C4—51no—
370C22×C3×C4—101no—
371C2×#67—101no—
372C22×Dic3—21no—
373C22×Dic3—51no—
374C22×Dic3—51no—
375C22×Dic3—101no—
376#235—54no—
377#235—102no—
378C2×D12C22×D511yescharacteristic
379C2×C4×D3—21no—
380C2×C4×D3—101no—
381C2×C4×D3—101no—
382C2×Dic6—51no—
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—21no—
391#217—101no—
392#217—101no—
393#216—54no—
394#215—54no—
395#214—54no—
396#213C4×D514yescomplemented
397(C2×D3)⋊C4—21no—
398(C2×D3)⋊C4—101no—
399C4⋊Dic3—51no—
400C4⋊Dic3—101no—
401C4⋊Dic3—101no—
402C4⋊Dic3C22×D511yescharacteristic
403Dic3⋊C4—101no—
404Dic3⋊C4—101no—
405C4×Dic3—51no—
406C4×Dic3—51no—
407C4×Dic3—51no—
408C4×Dic3—101no—
409C4×Dic3—101no—
410C4×Dic3—101no—
411C4×Dic3—101no—
412C4×Dic3—101no—
413C4×Dic3C22×D511yescharacteristic
414C2×C3⋊C8—51no—
415C2×C3⋊C8—54no—
416C2×C3⋊C8C22×D511yescharacteristic
417C23×C5—21no—
418C23×C5—61no—
419C22×D5D3×D411yescharacteristic
420C5×D4—21no—
421C5×D4—32no—
422C5×D4—61no—
423C5×D4C2×C4×D312yes—
424C2×C4×C5—21no—
425C2×C4×C5—31no—
426C2×C4×C5—31no—
427C2×C4×C5—61no—
428C2×C4×C5—122no—
429C2×C4×C5—122no—
430C2×C4×C5C23×D311yescharacteristic
431C22⋊D5—24no—
432C22⋊D5—64no—
433C2×Dic5—21no—
434C2×Dic5—24no—
435C2×Dic5—21no—
436C2×Dic5—31no—
437C2×Dic5—31no—
438C2×Dic5—61no—
439C2×Dic5—64no—
440C2×Dic5—61no—
441C2×Dic5—122no—
442C2×Dic5—122no—
443C2×Dic5D3×D411yescharacteristic
444C4×D5—62no—
445C4×D5—62no—
446C4×D5C2×C4×D312yes—
447C4×D5#23712yes—
448Dic10—21no—
449Dic10—32no—
450Dic10—61no—
451Dic10C2×C4×D312yes—
452C5×C8—21no—
453C5×C8—32no—
454#168—21no—
455#168—32no—
456C2×#41—51no—
457C2×#41—151no—
458#135—158no—
459C2×Q16—151no—
460C2×SD16—151no—
461C2×SD16—151no—
462C2×D8—31no—
463C22×C8—51no—
464C22×C8—151no—
465C4×Q8—151no—
466C4×Q8—151no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×D4—31no—
470C4×D4—31no—
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—31no—
485#107—151no—
486#106—151no—
487#106—151no—
488#103—51no—
489#103—51no—
490#103—151no—
491#103—151no—
492#102—31no—
493#102—51no—
494#102—151no—
495#102D3×D511yescharacteristic
496C4×C8—31no—
497C4×C8—151no—
498C4×C8—151no—
499C4×C8—151no—
500C2×C3×C5—42no—
501C2×C3×C5C2×C4×D411yescharacteristic
502C2×C3×C5C2×#13511yescharacteristic
503C2×C3×C5C2×#13511yescharacteristic
504C3×D5—22no—
505C5×D3—42no—
506C23×C3—21no—
507C23×C3—51no—
508C22×D3—21no—
509C3×Q8—52no—
510C3×Q8—101no—
511C3×D4—21no—
512C3×D4—104no—
513C3×D4C2×C4×D512yes—
514C2×C3×C4—21no—
515C2×C3×C4—51no—
516C2×C3×C4—52no—
517C2×C3×C4—52no—
518C2×C3×C4—104no—
519C2×C3×C4—101no—
520C2×C3×C4—101no—
521C2×C3×C4C23×D511yescharacteristic
522#67—104no—
523C2×Dic3—21no—
524C2×Dic3—42no—
525C2×Dic3—51no—
526C2×Dic3—51no—
527C2×Dic3—102no—
528C2×Dic3—101no—
529C2×Dic3—102no—
530C2×Dic3—101no—
531C2×Dic3—202no—
532C2×Dic3D4×D511yescharacteristic
533C2×Dic3D4×D511yescharacteristic
534D12—21no—
535D12C2×C4×D512yes—
536C4×D3—42no—
537C4×D3—104no—
538C4×D3—202no—
539Dic6—52no—
540Dic6—101no—
541C3×C8—21no—
542C3×C8—101no—
543C3⋊C8—52no—
544C3⋊C8C2×C4×D512yes—
545C22×C5—22no—
546C22×C5—41no—
547C22×C5—41no—
548C22×C5—62no—
549C22×C5—121no—
550C22×C5—121no—
551C22×C5C2×D3×D411yescharacteristic
552C2×D5—21no—
553C2×D5—21no—
554C2×D5#67⋊C412yes—
555C4×C5—32no—
556C4×C5—41no—
557C4×C5—61no—
558C4×C5—121no—
559C4×C5C22×C4×D311yescharacteristic
560C4×C5C2×#23711yescharacteristic
561Dic5—22no—
562Dic5—32no—
563Dic5—41no—
564Dic5—62no—
565Dic5—61no—
566Dic5—121no—
567Dic5#67⋊C412yes—
568#41—54no—
569#41—102no—
570#41—154no—
571#41—302no—
572C2×Q8—51no—
573C2×Q8—151no—
574C2×D4—31no—
575C2×D4—101no—
576C2×D4—301no—
577C2×D4C2×D3×D511yescharacteristic
578C22×C4—51no—
579C22×C4—61no—
580C22×C4—61no—
581C22×C4—101no—
582C22×C4—151no—
583C22×C4—151no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—154no—
588SD16—154no—
589SD16—154no—
590D8—34no—
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—151no—
600C4⋊C4—301no—
601C4⋊C4—301no—
602C4⋊C4—301no—
603C4⋊C4—301no—
604C4⋊C4C2×D3×D511yescharacteristic
605C22⋊C4—61no—
606C22⋊C4—61no—
607C22⋊C4—101no—
608C22⋊C4—301no—
609C22⋊C4—301no—
610C22⋊C4—301no—
611C42—31no—
612C42—101no—
613C42—151no—
614C42—151no—
615C42—151no—
616C42—301no—
617C42—301no—
618C42—301no—
619C42—301no—
620C42—301no—
621C3×C5C4×#13511yescharacteristic, complemented, Hall
622C22×C3—22no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3—52no—
626C22×C3—101no—
627C22×C3—101no—
628C22×C3C2×D4×D511yescharacteristic
629C2×D3—22no—
630C2×D3—41no—
631C2×D3—41no—
632C3×C4—41no—
633C3×C4—52no—
634C3×C4—102no—
635C3×C4—201no—
636C3×C4C22×C4×D511yescharacteristic
637C3×C4D5×#4111yescharacteristic
638Dic3—21no—
639Dic3—41no—
640Dic3—52no—
641Dic3—101no—
642Dic3—102no—
643Dic3—201no—
644Dic3#405812yescomplemented
645C2×C5—42no—
646C2×C5—122no—
647C2×C5C2×#67⋊C411yescharacteristic
648C2×C5D3×#13511yescharacteristic
649C2×C5D3×#13511yescharacteristic
650D5—22no—
651C23—21no—
652C23—51no—
653C23—61no—
654Q8—52no—
655Q8—101no—
656Q8—152no—
657Q8—301no—
658D4—21no—
659D4—32no—
660D4—61no—
661D4—104no—
662D4—304no—
663D4C4×D3×D512yes—
664C2×C4—21no—
665C2×C4—31no—
666C2×C4—31no—
667C2×C4—51no—
668C2×C4—52no—
669C2×C4—52no—
670C2×C4—61no—
671C2×C4—104no—
672C2×C4—101no—
673C2×C4—101no—
674C2×C4—122no—
675C2×C4—122no—
676C2×C4—151no—
677C2×C4—151no—
678C2×C4—302no—
679C2×C4—304no—
680C2×C4—302no—
681C2×C4—301no—
682C2×C4—301no—
683C2×C4—602no—
684C2×C4—602no—
685C2×C4C22×D3×D511yescharacteristic
686C8—21no—
687C8—32no—
688C8—101no—
689C8—152no—
690C2×C3—42no—
691C2×C3—102no—
692C2×C3C4×D4×D511yescharacteristic
693C2×C3C2×#405811yescharacteristic
694C2×C3D5×#13511yescharacteristic
695D3—42no—
696C5#7881811yescharacteristic, complemented, Sylow
697C22—22no—
698C22—41no—
699C22—41no—
700C22—52no—
701C22—62no—
702C22—101no—
703C22—101no—
704C22—121no—
705C22—121no—
706C22D3×D4×D511yescharacteristic
707C4—32no—
708C4—41no—
709C4—52no—
710C4—61no—
711C4—102no—
712C4—121no—
713C4—152no—
714C4—201no—
715C4—301no—
716C4—302no—
717C4—601no—
718C4C2×C4×D3×D511yescharacteristic
719C4D5×#23711yescharacteristic
720C3C4×#405811yescharacteristic, complemented, Sylow
721C2—42no—
722C2—102no—
723C2—122no—
724C2D5×#67⋊C411yescharacteristic
725C2D3×#405811yescharacteristic
726C2#1175407911yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#102C22
socleC22×C3×C5C22×D4
prime radicalC2×#91490C2
cosocleC2×C3×C4×C5C24
hypercenter#102D3×D5
hypocenterC3×C5C4×#135
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
1. Dic3×#711C2semidirect
3. #11753402C2semidirect
4. #11750859C2semidirect
5. C5×#4756C2semidirect
6. C3×#65061C2semidirect
7. #11749011C2semidirect
8. #11748994C2semidirect
9. #11748135C2semidirect
10. #11747831C2semidirect
11. #11747737C2semidirect
12. C8×D5×Dic3C2semidirect
13. #11747432C2semidirect
14. #11747271C2semidirect
15. #11747264C2semidirect
31. #91490C4semidirect
72. #65061D3semidirect
86. C3×#711C2×C4semidirect
95. #6772C2×C4semidirect
99. #6716C2×C4semidirect
106. C5×#213C2×C4semidirect
127. #6662C2×C4semidirect
128. #6656C2×C4semidirect
129. D5×C3⋊C8C2×C4semidirect
144. #4756D5semidirect
286. #711C4×D3semidirect
357. Dic15#135semidirect
363. C5×Dic3#135semidirect
396. #213C4×D5semidirect
621. C3×C5C4×#135semidirect
644. Dic3#4058semidirect
696. C5#78818semidirect
720. C3C4×#4058semidirect

Maximal subgroups

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

subgroupindex
Dic3×#7112
C2×#914902
#117534022
#117508592
C5×#47562
C3×#650612
#117490112
#117489942
#117481352
#117478312
#117477372
C8×D5×Dic32
#117474322
#117472712
#117472642
C4×#40583
#788185