Finite Group Databasebeta

← #14417805

Subgroups — #14417805

Order 1920.

968 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
1#11754923C211yesmaximal, characteristic, complemented
2C2×#91492C211yesmaximal, characteristic
3#11753336C211yesmaximal, characteristic, complemented
4#11750886C211yesmaximal, characteristic, complemented
5C5×#4758C211yesmaximal, characteristic, complemented
6C3×#65060C211yesmaximal, characteristic, complemented
7#11749019C211yesmaximal, characteristic, complemented
8#11748989C211yesmaximal, characteristic, complemented
9#11748050C211yesmaximal, characteristic, complemented
10#11747830C211yesmaximal, characteristic, complemented
11#11747829C211yesmaximal, characteristic, complemented
12#11747606C211yesmaximal, characteristic, complemented
13D5×#808C211yesmaximal, characteristic, complemented
14#11747272C211yesmaximal, characteristic, complemented
15#11747267C211yesmaximal, characteristic, complemented
16#10611381—31nomaximal, Hall
17C2×C3×#711C2211yescharacteristic
18C2×#6773C2211yescharacteristic
19D4×Dic15C2211yescharacteristic
20C2×#6715C2211yescharacteristic
21#91782C2211yescharacteristic
22C5×D4×Dic3C2211yescharacteristic
23C2×C5×#214C2211yescharacteristic
24C5×#887C2211yescharacteristic
25C2×C3×#676C2211yescharacteristic
26C3×D5×C4⋊C4C2211yescharacteristic
27#91559—21no—
28Dic3×C22⋊D5—21no—
29C2×#6668—21no—
30#91528—21no—
31#91492C418yescomplemented
32#91444—21no—
33C4×#1202—21no—
34#91428C2211yescharacteristic
35D5×C4⋊Dic3C2211yescharacteristic
36#91404—21no—
37#91403—21no—
38#91357C2211yescharacteristic
39#91344C2211yescharacteristic
40#91331C2211yescharacteristic
41Dic3×Dic10C2211yescharacteristic
42C2×#6661C2211yescharacteristic
43C2×#6658C2211yescharacteristic
44C2×D5×C3⋊C8C2211yescharacteristic
45C3×C5×#102C2211yescharacteristic
46#91105C2211yescharacteristic
47#91099C2211yescharacteristic
48#91092C2211yescharacteristic
49C5×#816C2211yescharacteristic
50C5×C8×Dic3C2211yescharacteristic
51C5×#808C2211yescharacteristic
52C3×#3964C2211yescharacteristic
53C3×#3948C2211yescharacteristic
54C3×#3942C2211yescharacteristic
55#90987C2211yescharacteristic
56#90986C2211yescharacteristic
57#90973C2211yescharacteristic
58#90969C2211yescharacteristic
59#90953C2211yescharacteristic
60#90951C2211yescharacteristic
61#78869—51nomaximal, Hall
62C2×#4062—31no—
63#65908—31no—
64#65880—31no—
65C4×C5×SD16—31no—
66SD16×Dic5—31no—
67#65319—31no—
68#65303—31no—
69D5×#106—31no—
70#65141—31no—
71#65092—31no—
72#65078—31no—
73#65074—31no—
74#65060D311yescharacteristic, complemented
75C4×#677—31no—
76#64978—31no—
77C2×C3×C5×D4C2311yescharacteristic
78C22×Dic15—21no—
79C2×D60C2311yescharacteristic
80C2×C4×D15—21no—
81C22×C5×Dic3—21no—
82C2×C5×Dic6C2311yescharacteristic
83C2×C3×C22⋊D5—21no—
84C22×C3×Dic5—21no—
85C3×#711—22no—
86C3×#711C2×C414yescomplemented
87C2×C3×C4×D5—21no—
88C2×C3×C4×D5C2311yescharacteristic
89C2×C3×Dic10C2311yescharacteristic
90C2×#1202—21no—
91C2×#1200—21no—
92C2×#1200—21no—
93C2×D5×Dic3—21no—
94#6773—22no—
95#6773C2×C414yescomplemented
96C2×C3×C5×C8C2311yescharacteristic
97C3×C5×C4⋊C4C2311yescharacteristic
98#6719—21no—
99#6715C2×C414yescomplemented
100#6714—21no—
101C4⋊Dic15C2311yescharacteristic
102C4×Dic15C2311yescharacteristic
103C2×C3⋊#168C2311yescharacteristic
104C5×#217—21no—
105C5×#214C2×C414yescomplemented
106C5×C4⋊Dic3C2311yescharacteristic
107C5×Dic3⋊C4—21no—
108C4×C5×Dic3—21no—
109C4×C5×Dic3C2311yescharacteristic
110C2×C5×C3⋊C8C2311yescharacteristic
111C3×C4⋊Dic5C2311yescharacteristic
112C3×#683—21no—
113C2×C3×#168C2311yescharacteristic
114C3×#676—22no—
115Dic3⋊Dic5—21no—
116#6668—21no—
117#6668—21no—
118#6668—21no—
119#6668D411yescharacteristic
120#6668D411yescharacteristic
121#6667—21no—
122#6665D411yescharacteristic
123#6665D411yescharacteristic
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127#6661C2×C414yescomplemented
128#6658C2×C414yescomplemented
129D5×C3⋊C8C2×C414yescomplemented
130#5827—51no—
131C2×#950—51no—
132#5504—51no—
133C3×#417—51no—
134#5133—51no—
135#5122—51no—
136C2×#808—51no—
137#4789—51no—
138#4789—51no—
139#4788—51no—
140#4788—51no—
141#4785—51no—
142#4785—51no—
143#4758—51no—
144#4758D511yescharacteristic, complemented
145C2×#713—31no—
146C2×#711C2×D311yescharacteristic
147C2×C5×SD16—31no—
148C4×C5×Q8—31no—
149C4×C5×D4—31no—
150Q8×Dic5—31no—
151C2×#689—31no—
152D4×Dic5—31no—
153C2×#686—31no—
154C4×C22⋊D5—61no—
155C2×#683—61no—
156#4062—38no—
157C2×#677—31no—
158C2×#676C2×D311yescharacteristic
159C2×C8×D5—31no—
160#4039—31no—
161#4039—61no—
162D5×C4⋊C4—31no—
163D5×C4⋊C4—61no—
164D5×C4⋊C4C2×D311yescharacteristic
165#4033—31no—
166#4027—61no—
167#4023—61no—
168C4×D20—31no—
169C4×D20—61no—
170#4018—31no—
171#4018—61no—
172C4×Dic10—31no—
173C5×#106—31no—
174C5×#103—31no—
175C5×#102C2×D311yescharacteristic
176C4×C5×C8—31no—
177#3967—31no—
178#3964C2×D311yescharacteristic
179#3953—31no—
180#3949—31no—
181#3948C2×D311yescharacteristic
182#3947—31no—
183C8×Dic5—31no—
184#3942C2×D311yescharacteristic
185#3941—31no—
186#3940—31no—
187#3940—31no—
188#3935—31no—
189#2952—151noSylow
190C23×C3×C5—21no—
191C22×D15—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—81no—
199C2×Dic15C2×D411yescharacteristic
200C2×Dic15C2×D411yescharacteristic
201D60—21no—
202D60C22×C412yes—
203C4×D15—81no—
204C2×C5×Dic3—21no—
205C2×C5×Dic3—21no—
206C2×C5×Dic3—81no—
207C2×C5×Dic3C2×D411yescharacteristic
208C2×C5×Dic3C2×D411yescharacteristic
209C5×Dic6—21no—
210C5×Dic6C22×C412yes—
211C3×C22⋊D5—24no—
212C2×C3×Dic5—21no—
213C2×C3×Dic5—24no—
214C2×C3×Dic5—21no—
215C2×C3×Dic5C2×D411yescharacteristic
216C3×C4×D5—81no—
217C3×C4×D5C22×C412yes—
218C3×C4×D5#4112yes—
219C3×Dic10—21no—
220C3×Dic10C22×C412yes—
221#1202—24no—
222#1200—24no—
223#1200—81no—
224D5×Dic3—81no—
225C3×C5×C8—21no—
226C3⋊#168C22×C412yes—
227C3×#168—21no—
228C5×C3⋊C8C22×C412yes—
229C2×C3×#41—51no—
230C2×#235—51no—
231C2×C3×M16—51no—
232C2×C3×C4⋊C4—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×#214C2×D511yescharacteristic
243C2×#213—51no—
244C4×#67—101no—
245C4×#67—101no—
246#926—51no—
247#926—101no—
248C2×C4⋊Dic3—51no—
249C2×C4⋊Dic3—101no—
250C22×C3⋊C8—51no—
251#893—51no—
252#893—51no—
253#892—101no—
254D3×C4⋊C4—101no—
255#887—51no—
256#887C2×D511yescharacteristic
257C3×#103—51no—
258C3×#103—51no—
259C3×#102—51no—
260C3×#102C2×D511yescharacteristic
261#821—51no—
262#821—51no—
263#816—51no—
264#816C2×D511yescharacteristic
265#815—51no—
266#815—51no—
267C8×Dic3—51no—
268C8×Dic3C2×D511yescharacteristic
269#808—51no—
270#808—51no—
271#808—51no—
272#808C2×D511yescharacteristic
273C2×C5×Q8—31no—
274C2×C5×D4C22×D311yescharacteristic
275C22×C4×C5—61no—
276C2×C22⋊D5—21no—
277C22×Dic5—21no—
278C22×Dic5—61no—
279#713—34no—
280#713—62no—
281#711—22no—
282#711C4×D314yescomplemented
283C2×D20—31no—
284C2×D20—61no—
285C2×C4×D5—21no—
286C2×C4×D5—61no—
287C2×C4×D5—61no—
288C2×C4×D5—61no—
289C2×C4×D5—61no—
290C2×C4×D5C22×D311yescharacteristic
291C2×Dic10C22×D311yescharacteristic
292C5×SD16—34no—
293C2×C5×C8—31no—
294C2×C5×C8C22×D311yescharacteristic
295C5×C4⋊C4—31no—
296C5×C4⋊C4—61no—
297C5×C4⋊C4C22×D311yescharacteristic
298C5×C22⋊C4—61no—
299C42×C5—31no—
300C42×C5—61no—
301C22⋊Dic5—61no—
302#689—34no—
303#686—34no—
304#685—31no—
305#685—31no—
306#685—61no—
307#685—61no—
308C4⋊Dic5—31no—
309C4⋊Dic5—61no—
310C4⋊Dic5C22×D311yescharacteristic
311#683—21no—
312#683—31no—
313#683—31no—
314#683—61no—
315#683—61no—
316#683—61no—
317C4×Dic5—31no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C2×#168—31no—
322C2×#168C22×D311yescharacteristic
323#677—34no—
324#676—22no—
325C8×D5—34no—
326C2×#135—151no—
327#520—151no—
328#520—151no—
329#442—151no—
330#442—151no—
331#441—151no—
332#441—151no—
333C4×SD16—31no—
334C4×SD16—151no—
335C4×SD16—151no—
336C4×SD16—151no—
337C2×#106—151no—
338#417—51no—
339#417—151no—
340#405—151no—
341C22×C3×C5—22no—
342C22×C3×C5—41no—
343C22×C3×C5—41no—
344C22×C3×C5C22×D411yescharacteristic
345C2×D15—22no—
346C2×D15—41no—
347C2×D15—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—21no—
355Dic15—21no—
356Dic15—41no—
357C3×Dic5—22no—
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×Q8—51no—
367C2×C3×D4—101no—
368C2×C3×D4C22×D511yescharacteristic
369C22×C3×C4—51no—
370C22×C3×C4—101no—
371C22×C3×C4—101no—
372C2×#67—101no—
373C22×Dic3—21no—
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
383C3×M16—102no—
384C2×C3×C8—51no—
385C2×C3×C8C22×D511yescharacteristic
386C3×C4⋊C4—51no—
387C3×C4⋊C4—101no—
388C3×C4⋊C4C22×D511yescharacteristic
389#217—21no—
390#217—51no—
391#217—51no—
392#217—101no—
393#216—54no—
394#215—54no—
395#214C4×D514yescomplemented
396#213—54no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399C4⋊Dic3—51no—
400C4⋊Dic3—51no—
401C4⋊Dic3—51no—
402C4⋊Dic3—101no—
403C4⋊Dic3—101no—
404C4⋊Dic3—101no—
405C4⋊Dic3C22×D511yescharacteristic
406Dic3⋊C4—21no—
407Dic3⋊C4—101no—
408C4×Dic3—21no—
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
417C23×C5—21no—
418C22×D5—61no—
419C22×D5D3×D411yescharacteristic
420C5×Q8—32no—
421C5×Q8—61no—
422C5×D4—21no—
423C5×D4C2×C4×D312yes—
424C2×C4×C5—21no—
425C2×C4×C5—31no—
426C2×C4×C5—31no—
427C2×C4×C5—61no—
428C2×C4×C5—61no—
429C2×C4×C5—241no—
430C2×C4×C5C23×D311yescharacteristic
431C22⋊D5—24no—
432C2×Dic5—21no—
433C2×Dic5—24no—
434C2×Dic5—21no—
435C2×Dic5—31no—
436C2×Dic5—31no—
437C2×Dic5—61no—
438C2×Dic5—241no—
439C2×Dic5D3×D411yescharacteristic
440D20—32no—
441D20—64no—
442D20—61no—
443C4×D5—64no—
444C4×D5—81no—
445C4×D5—241no—
446C4×D5—241no—
447C4×D5—241no—
448C4×D5C2×C4×D312yes—
449C4×D5#23712yes—
450Dic10—21no—
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—31no—
461C2×SD16—151no—
462C2×D8—151no—
463C2×M16—51no—
464C22×C8—151no—
465C4×Q8—31no—
466C4×Q8—151no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×D4—31no—
470C4×D4—151no—
471C4×D4—151no—
472C4×D4—151no—
473C4×D4—301no—
474C4×D4—301no—
475C4×D4—301no—
476C4×D4—301no—
477#117—151no—
478#117—301no—
479#117—301no—
480C2×C4⋊C4—51no—
481C2×C4⋊C4—151no—
482C2×C4⋊C4—301no—
483C2×C4⋊C4—301no—
484#106—31no—
485#106—151no—
486#106—151no—
487#106—151no—
488#103—31no—
489#103—51no—
490#103—51no—
491#103—151no—
492#102—51no—
493#102—151no—
494#102—151no—
495#102D3×D511yescharacteristic
496#97—151no—
497#97—151no—
498C4×C8—31no—
499C4×C8—151no—
500C2×C3×C5—42no—
501C2×C3×C5C2×C4×D411yescharacteristic
502C2×C3×C5#57711yescharacteristic
503C2×C3×C5#57711yescharacteristic
504D15—42no—
505C3×D5—22no—
506C23×C3—21no—
507C23×C3—51no—
508C22×D3—101no—
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×C4—401no—
522C2×C3×C4C23×D511yescharacteristic
523#67—104no—
524C2×Dic3—21no—
525C2×Dic3—21no—
526C2×Dic3—51no—
527C2×Dic3—51no—
528C2×Dic3—81no—
529C2×Dic3—101no—
530C2×Dic3—401no—
531C2×Dic3—401no—
532C2×Dic3D4×D511yescharacteristic
533C2×Dic3D4×D511yescharacteristic
534D12—52no—
535D12—101no—
536C4×D3—104no—
537C4×D3—401no—
538C4×D3—401no—
539Dic6—21no—
540Dic6C2×C4×D512yes—
541C3×C8—21no—
542C3×C8—101no—
543C3⋊C8—52no—
544C3⋊C8C2×C4×D512yes—
545C22×C5—22no—
546C22×C5—41no—
547C22×C5—41no—
548C22×C5C2×D3×D411yescharacteristic
549C2×D5—21no—
550C2×D5—21no—
551C2×D5—62no—
552C2×D5—121no—
553C2×D5—121no—
554C2×D5#67⋊C412yes—
555C4×C5—41no—
556C4×C5—62no—
557C4×C5—61no—
558C4×C5—61no—
559C4×C5—121no—
560C4×C5C22×C4×D311yescharacteristic
561C4×C5C2×#23711yescharacteristic
562Dic5—22no—
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×Q8—51no—
574C2×D4—101no—
575C2×D4—151no—
576C2×D4—301no—
577C2×D4C2×D3×D511yescharacteristic
578C22×C4—51no—
579C22×C4—61no—
580C22×C4—101no—
581C22×C4—101no—
582C22×C4—301no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—154no—
588SD16—34no—
589SD16—154no—
590D8—154no—
591M16—102no—
592C2×C8—31no—
593C2×C8—51no—
594C2×C8—154no—
595C2×C8—151no—
596C2×C8C2×D3×D511yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—51no—
599C4⋊C4—61no—
600C4⋊C4—101no—
601C4⋊C4—151no—
602C4⋊C4—151no—
603C4⋊C4—151no—
604C4⋊C4—301no—
605C4⋊C4—301no—
606C4⋊C4—301no—
607C4⋊C4—301no—
608C4⋊C4C2×D3×D511yescharacteristic
609C22⋊C4—61no—
610C22⋊C4—151no—
611C22⋊C4—151no—
612C22⋊C4—301no—
613C22⋊C4—301no—
614C22⋊C4—301no—
615C42—31no—
616C42—61no—
617C42—151no—
618C42—301no—
619C42—301no—
620C42—301no—
621C3×C5#295211yescharacteristic, 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—102no—
630C2×D3—201no—
631C2×D3—201no—
632C3×C4—41no—
633C3×C4—52no—
634C3×C4—102no—
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×C5—42no—
646C2×C5C2×#67⋊C411yescharacteristic
647C2×C5#577511yescharacteristic
648C2×C5#577811yescharacteristic
649D5—22no—
650D5—122no—
651C23—21no—
652C23—51no—
653C23—301no—
654Q8—32no—
655Q8—52no—
656Q8—61no—
657Q8—101no—
658D4—21no—
659D4—104no—
660D4—152no—
661D4—304no—
662D4—301no—
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—61no—
672C2×C4—104no—
673C2×C4—101no—
674C2×C4—101no—
675C2×C4—151no—
676C2×C4—151no—
677C2×C4—241no—
678C2×C4—304no—
679C2×C4—301no—
680C2×C4—401no—
681C2×C4—1201no—
682C2×C4—1201no—
683C2×C4—1201no—
684C2×C4—1201no—
685C2×C4C22×D3×D511yescharacteristic
686C8—21no—
687C8—32no—
688C8—101no—
689C8—152no—
690C2×C3—42no—
691C2×C3—102no—
692C2×C3C4×D4×D511yescharacteristic
693C2×C3#6609611yescharacteristic
694C2×C3#6610411yescharacteristic
695D3—202no—
696C5#7886911yescharacteristic, complemented, Sylow
697C22—22no—
698C22—41no—
699C22—41no—
700C22—52no—
701C22—101no—
702C22—101no—
703C22—302no—
704C22—601no—
705C22—601no—
706C22D3×D4×D511yescharacteristic
707C4—41no—
708C4—52no—
709C4—61no—
710C4—61no—
711C4—62no—
712C4—102no—
713C4—121no—
714C4—201no—
715C4—301no—
716C4—301no—
717C4—601no—
718C4C2×C4×D3×D511yescharacteristic
719C4D5×#23711yescharacteristic
720C3#1061138111yescharacteristic, complemented, Sylow
721C2—42no—
722C2—102no—
723C2—602no—
724C2D5×#67⋊C411yescharacteristic
725C2#1175406011yescharacteristic
726C2#1175408511yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#102C22
socleC22×C3×C5C22×D4
prime radicalC2×#91492C2
cosocleC2×C3×C4×C5C24
hypercenter#102D3×D5
hypocenterC3×C5#2952
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. #11754923C2semidirect
3. #11753336C2semidirect
4. #11750886C2semidirect
5. C5×#4758C2semidirect
6. C3×#65060C2semidirect
7. #11749019C2semidirect
8. #11748989C2semidirect
9. #11748050C2semidirect
10. #11747830C2semidirect
11. #11747829C2semidirect
12. #11747606C2semidirect
13. D5×#808C2semidirect
14. #11747272C2semidirect
15. #11747267C2semidirect
31. #91492C4semidirect
74. #65060D3semidirect
86. C3×#711C2×C4semidirect
95. #6773C2×C4semidirect
99. #6715C2×C4semidirect
105. C5×#214C2×C4semidirect
127. #6661C2×C4semidirect
128. #6658C2×C4semidirect
129. D5×C3⋊C8C2×C4semidirect
144. #4758D5semidirect
282. #711C4×D3semidirect
395. #214C4×D5semidirect
621. C3×C5#2952semidirect
696. C5#78869semidirect
720. C3#10611381semidirect

Maximal subgroups

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

subgroupindex
#117549232
C2×#914922
#117533362
#117508862
C5×#47582
C3×#650602
#117490192
#117489892
#117480502
#117478302
#117478292
#117476062
D5×#8082
#117472722
#117472672
#106113813
#788695