Finite Group Databasebeta

← #14417809

Subgroups — #14417809

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#11754916C211yesmaximal, characteristic, complemented
2C2×#91499C211yesmaximal, characteristic
3#11753407C211yesmaximal, characteristic, complemented
4#11750872C211yesmaximal, characteristic, complemented
5C5×#4785C211yesmaximal, characteristic, complemented
6C3×#65047C211yesmaximal, characteristic, complemented
7Dic3×#687C211yesmaximal, characteristic, complemented
8#11748977C211yesmaximal, characteristic, complemented
9#11748146C211yesmaximal, characteristic, complemented
10#11748053C211yesmaximal, characteristic, complemented
11#11747832C211yesmaximal, characteristic, complemented
12#11747744C211yesmaximal, characteristic, complemented
13#11747441C211yesmaximal, characteristic, complemented
14#11747277C211yesmaximal, characteristic, complemented
15#11747269C211yesmaximal, characteristic, complemented
16#10611599—31nomaximal, Hall
17C2×#6819C2211yescharacteristic
18C2×#6768C2211yescharacteristic
19C2×#6705C2211yescharacteristic
20C4⋊C4×D15C2211yescharacteristic
21C5×D4×Dic3C2211yescharacteristic
22C2×C5×#213C2211yescharacteristic
23C5×#893C2211yescharacteristic
24C3×D4×Dic5C2211yescharacteristic
25C2×C3×#687C2211yescharacteristic
26C3×#4033C2211yescharacteristic
27#91556—21no—
28#91552—21no—
29C2×#6669—21no—
30#91532—21no—
31#91499C418yescomplemented
32C4×#1203—21no—
33#91437C2211yescharacteristic
34Dic5×D12C2211yescharacteristic
35#91406—21no—
36D3×#683—21no—
37#91398—21no—
38#91386C2211yescharacteristic
39#91340C2211yescharacteristic
40#91333C2211yescharacteristic
41Dic3×Dic10C2211yescharacteristic
42C2×#6662C2211yescharacteristic
43C2×#6659C2211yescharacteristic
44C2×#6648C2211yescharacteristic
45C3×C5×#102C2211yescharacteristic
46#91116C2211yescharacteristic
47#91100C2211yescharacteristic
48#91094C2211yescharacteristic
49C5×#821C2211yescharacteristic
50C5×#815C2211yescharacteristic
51C5×#808C2211yescharacteristic
52C3×#3948C2211yescharacteristic
53C3×C8×Dic5C2211yescharacteristic
54C3×#3940C2211yescharacteristic
55#90987C2211yescharacteristic
56#90985C2211yescharacteristic
57#90970C2211yescharacteristic
58#90966C2211yescharacteristic
59#90952C2211yescharacteristic
60Dic3×#168C2211yescharacteristic
61#79650—51nomaximal, Hall
62C2×#4058—31no—
63#65880—31no—
64#65880—31no—
65C5×#442—31no—
66#65441—31no—
67C4×#687—31no—
68C4×#687—31no—
69D5×#106—31no—
70#65142—31no—
71#65060—31no—
72#65060—31no—
73#65047—31no—
74#65047D311yescharacteristic, complemented
75#65005—31no—
76#64997—31no—
77C2×C3×C5×D4C2311yescharacteristic
78C2×#1220—21no—
79C22×Dic15—21no—
80#6819—22no—
81#6819C2×C414yescomplemented
82C2×C4×D15—21no—
83C2×C4×D15C2311yescharacteristic
84C2×Dic30C2311yescharacteristic
85C22×C5×Dic3—21no—
86C2×C5×D12C2311yescharacteristic
87C2×C4×C5×D3—21no—
88C22×C3×Dic5—21no—
89C2×C3×Dic10C2311yescharacteristic
90C2×#1203—21no—
91C2×#1200—21no—
92C2×D3×Dic5—21no—
93C2×D3×Dic5—21no—
94#6768—22no—
95#6768C2×C414yescomplemented
96C2×C3×C5×C8C2311yescharacteristic
97C3×C5×C4⋊C4C2311yescharacteristic
98C4⋊Dic15C2311yescharacteristic
99#6712—21no—
100C2×C3⋊#168C2311yescharacteristic
101#6705—22no—
102C5×#217—21no—
103C5×#213C2×C414yescomplemented
104C5×(C2×D3)⋊C4—21no—
105C5×C4⋊Dic3C2311yescharacteristic
106C4×C5×Dic3C2311yescharacteristic
107C2×C5×C3⋊C8C2311yescharacteristic
108C3×C22⋊Dic5—21no—
109C3×#687C2×C414yescomplemented
110C3×C4⋊Dic5C2311yescharacteristic
111C3×#683—21no—
112C3×C4×Dic5—21no—
113C3×C4×Dic5C2311yescharacteristic
114C2×C3×#168C2311yescharacteristic
115#6669—21no—
116#6669—21no—
117#6669—21no—
118#6669D411yescharacteristic
119#6669D411yescharacteristic
120#6668—21no—
121#6667D411yescharacteristic
122#6667D411yescharacteristic
123(C2×D3)⋊Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127#6662C2×C414yescomplemented
128#6659C2×C414yescomplemented
129#6648C2×C414yescomplemented
130C2×#916—51no—
131#5574—51no—
132#5546—51no—
133C3×C4×SD16—51no—
134Dic3×SD16—51no—
135#5030—51no—
136#5014—51no—
137D3×#106—51no—
138#4852—51no—
139#4803—51no—
140#4789—51no—
141#4785D511yescharacteristic, complemented
142#4771—51no—
143C4×#204—51no—
144#4689—51no—
145C2×#711—31no—
146C2×#711—31no—
147C2×C5×D8—31no—
148C4×C5×D4—31no—
149C4×C5×D4—31no—
150D4×Dic5—31no—
151D4×Dic5C2×D311yescharacteristic
152C2×#687—31no—
153C2×#687C2×D311yescharacteristic
154C4×C22⋊D5—61no—
155C4×C22⋊D5—61no—
156C2×#683—61no—
157C2×#683—61no—
158#4058—38no—
159C2×Dic20—31no—
160C2×#676—31no—
161C2×C8×D5—31no—
162D5×C4⋊C4—31no—
163D5×C4⋊C4—31no—
164#4033—31no—
165#4033C2×D311yescharacteristic
166#4027—61no—
167#4027—61no—
168#4023—61no—
169#4023—61no—
170#4018—31no—
171C4×Dic10—31no—
172C4×Dic10—31no—
173C5×#106—31no—
174C5×#102—31no—
175C5×#102C2×D311yescharacteristic
176C5×#97—31no—
177#3964—31no—
178#3964—31no—
179#3949—31no—
180#3948—31no—
181#3948C2×D311yescharacteristic
182#3947—31no—
183C8×Dic5C2×D311yescharacteristic
184#3942—31no—
185#3942—31no—
186#3940—31no—
187#3940C2×D311yescharacteristic
188C4×#168—31no—
189#2952—151noSylow
190C23×C3×C5—21no—
191C22×D15C2×D411yescharacteristic
192C22×C5×D3—21no—
193C3×C5×D4—21no—
194C3×C5×D4C22×C412yes—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5C2411yescharacteristic
197#1220—24no—
198C2×Dic15—21no—
199C2×Dic15—24no—
200C2×Dic15—21no—
201C2×Dic15C2×D411yescharacteristic
202C4×D15—81no—
203C4×D15C22×C412yes—
204C4×D15#4112yes—
205Dic30—21no—
206Dic30C22×C412yes—
207C2×C5×Dic3—21no—
208C2×C5×Dic3—81no—
209C2×C5×Dic3C2×D411yescharacteristic
210C2×C5×Dic3C2×D411yescharacteristic
211C5×D12—21no—
212C5×D12C22×C412yes—
213C4×C5×D3—81no—
214C2×C3×Dic5—21no—
215C2×C3×Dic5—21no—
216C2×C3×Dic5—81no—
217C2×C3×Dic5C2×D411yescharacteristic
218C2×C3×Dic5C2×D411yescharacteristic
219C3×Dic10—21no—
220C3×Dic10C22×C412yes—
221#1203—24no—
222#1200—81no—
223D3×Dic5—24no—
224D3×Dic5—81no—
225C3×C5×C8—21no—
226C3⋊#168—21no—
227C3×#168C22×C412yes—
228C5×C3⋊C8C22×C412yes—
229C2×#239—51no—
230C2×#237—51no—
231C2×C3×SD16—51no—
232C3×C4×Q8—51no—
233C3×C4×D4—51no—
234Q8×Dic3—51no—
235C2×#216—51no—
236D4×Dic3C2×D511yescharacteristic
237C2×#213C2×D511yescharacteristic
238C4×#67—101no—
239C2×Dic3⋊C4—101no—
240#916—58no—
241C2×#204—51no—
242C2×ΓL(1,𝔽25)—51no—
243C2×D3×C8—51no—
244#893—101no—
245#893C2×D511yescharacteristic
246D3×C4⋊C4—51no—
247D3×C4⋊C4—51no—
248D3×C4⋊C4—101no—
249#887—51no—
250#67⋊C4—101no—
251#877—101no—
252C4×D12—51no—
253C4×D12—101no—
254#872—51no—
255#872—101no—
256C4×Dic6—51no—
257C3×#106—51no—
258C3×#103—51no—
259C3×#102C2×D511yescharacteristic
260C3×C4×C8—51no—
261#835—51no—
262#832—51no—
263#821C2×D511yescharacteristic
264#817—51no—
265#816—51no—
266#815C2×D511yescharacteristic
267C8×Dic3—51no—
268#810—51no—
269#809—51no—
270#808—51no—
271#808C2×D511yescharacteristic
272#803—51no—
273C2×C5×D4—31no—
274C2×C5×D4C22×D311yescharacteristic
275C22×C4×C5—61no—
276C22×C4×C5—61no—
277C2×C22⋊D5—61no—
278C2×C22⋊D5—61no—
279C22×Dic5—21no—
280C22×Dic5—61no—
281C22×Dic5—61no—
282C22×Dic5—61no—
283#711—34no—
284#711—34no—
285#711—62no—
286#711—62no—
287C2×C4×D5—31no—
288C2×C4×D5—61no—
289C2×C4×D5—61no—
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—21no—
301C22⋊Dic5—61no—
302#687—34no—
303#687C4×D314yescomplemented
304#685—31no—
305#685—31no—
306C4⋊Dic5—31no—
307C4⋊Dic5C22×D311yescharacteristic
308#683—21no—
309#683—31no—
310#683—31no—
311#683—61no—
312#683—61no—
313#683—61no—
314#683—61no—
315#683—61no—
316C4×Dic5—21no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5C22×D311yescharacteristic
321C2×#168—31no—
322C2×#168C22×D311yescharacteristic
323Dic20—34no—
324#676—62no—
325C8×D5—34no—
326C2×#135—151no—
327#520—151no—
328#520—151no—
329#442—31no—
330#442—151no—
331#441—151no—
332#441—151no—
333C4×SD16—51no—
334C4×SD16—151no—
335C4×SD16—151no—
336C4×SD16—151no—
337C2×#106—151no—
338#417—151no—
339#417—151no—
340#405—151no—
341C22×C3×C5—22no—
342C22×C3×C5—41no—
343C22×C3×C5—41no—
344C22×C3×C5C22×D411yescharacteristic
345C2×D15—21no—
346C2×D15—21no—
347C2×D15C4×D412yes—
348C2×C5×D3—22no—
349C2×C5×D3—41no—
350C2×C5×D3—41no—
351C3×C4×C5—41no—
352C3×C4×C5C23×C411yescharacteristic
353C3×C4×C5C2×#4111yescharacteristic
354Dic15—22no—
355Dic15—41no—
356Dic15C4×D412yes—
357C3×Dic5—22no—
358C3×Dic5—21no—
359C3×Dic5—21no—
360C3×Dic5—41no—
361C5×Dic3—21no—
362C5×Dic3—21no—
363C5×Dic3—41no—
364C2×C3×Q8—51no—
365C2×C3×D4C22×D511yescharacteristic
366C22×C3×C4—101no—
367C2×#67—101no—
368C22×Dic3—21no—
369C22×Dic3—101no—
370#239—54no—
371#239—102no—
372#237—54no—
373#237—102no—
374C2×D12—101no—
375C2×D12C22×D511yescharacteristic
376C2×C4×D3—21no—
377C2×C4×D3—51no—
378C2×C4×D3—101no—
379C2×C4×D3—101no—
380C2×C4×D3—101no—
381C2×C4×D3—101no—
382C2×Dic6—51no—
383C3×SD16—54no—
384C2×C3×C8—51no—
385C2×C3×C8C22×D511yescharacteristic
386C3×C4⋊C4—51no—
387C3×C4⋊C4—101no—
388C3×C4⋊C4C22×D511yescharacteristic
389C3×C22⋊C4—101no—
390C3×C42—51no—
391C3×C42—101no—
392#217—21no—
393#216—54no—
394#213C4×D514yescomplemented
395(C2×D3)⋊C4—21no—
396(C2×D3)⋊C4—51no—
397(C2×D3)⋊C4—51no—
398(C2×D3)⋊C4—101no—
399C4⋊Dic3—51no—
400C4⋊Dic3—101no—
401C4⋊Dic3C22×D511yescharacteristic
402Dic3⋊C4—51no—
403Dic3⋊C4—51no—
404Dic3⋊C4—101no—
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407Dic3⋊C4—101no—
408C4×Dic3—101no—
409C4×Dic3—101no—
410C4×Dic3—101no—
411C4×Dic3C22×D511yescharacteristic
412C2×C3⋊C8—51no—
413C2×C3⋊C8C22×D511yescharacteristic
414#204—54no—
415ΓL(1,𝔽25)—102no—
416D3×C8—54no—
417C23×C5—21no—
418C23×C5—61no—
419C22×D5—31no—
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—241no—
429C2×C4×C5—241no—
430C2×C4×C5C23×D311yescharacteristic
431C22⋊D5—64no—
432C22⋊D5—64no—
433C2×Dic5—21no—
434C2×Dic5—21no—
435C2×Dic5—31no—
436C2×Dic5—64no—
437C2×Dic5—64no—
438C2×Dic5—61no—
439C2×Dic5—61no—
440C2×Dic5—81no—
441C2×Dic5—241no—
442C2×Dic5D3×D411yescharacteristic
443C2×Dic5D3×D411yescharacteristic
444C4×D5—32no—
445C4×D5—32no—
446C4×D5—241no—
447C4×D5—241no—
448Dic10—21no—
449Dic10—32no—
450Dic10—61no—
451Dic10C2×C4×D312yes—
452C5×C8—21no—
453C5×C8—32no—
454#168—61no—
455#168C2×C4×D312yes—
456C2×#41—151no—
457C2×#41—151no—
458#135—158no—
459C2×Q16—151no—
460C2×SD16—51no—
461C2×SD16—151no—
462C2×D8—31no—
463C2×M16—151no—
464C22×C8—151no—
465C4×Q8—51no—
466C4×Q8—151no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×D4—31no—
470C4×D4—31no—
471C4×D4—51no—
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—151no—
481C2×C4⋊C4—151no—
482C2×C4⋊C4—301no—
483C2×C4⋊C4—301no—
484#106—31no—
485#106—51no—
486#106—151no—
487#106—151no—
488#103—51no—
489#103—151no—
490#103—151no—
491#103—151no—
492#102—31no—
493#102—151no—
494#102—151no—
495#102D3×D511yescharacteristic
496#97—31no—
497#97—151no—
498C4×C8—51no—
499C4×C8—151no—
500C2×C3×C5—42no—
501C2×C3×C5C2×C4×D411yescharacteristic
502C2×C3×C5#57711yescharacteristic
503C2×C3×C5#57711yescharacteristic
504D15—22no—
505C5×D3—42no—
506C23×C3—21no—
507C22×D3—21no—
508C22×D3—51no—
509C3×Q8—52no—
510C3×Q8—101no—
511C3×D4—21no—
512C3×D4C2×C4×D512yes—
513C2×C3×C4—21no—
514C2×C3×C4—51no—
515C2×C3×C4—51no—
516C2×C3×C4—101no—
517C2×C3×C4—101no—
518C2×C3×C4—401no—
519C2×C3×C4C23×D511yescharacteristic
520#67—104no—
521C2×Dic3—21no—
522C2×Dic3—51no—
523C2×Dic3—81no—
524C2×Dic3—104no—
525C2×Dic3—101no—
526C2×Dic3—101no—
527C2×Dic3D4×D511yescharacteristic
528C2×Dic3D4×D511yescharacteristic
529D12—21no—
530D12—104no—
531D12C2×C4×D512yes—
532C4×D3—52no—
533C4×D3—52no—
534C4×D3—81no—
535C4×D3—104no—
536C4×D3—401no—
537C4×D3—401no—
538C4×D3—401no—
539Dic6—52no—
540Dic6—101no—
541C3×C8—21no—
542C3×C8—52no—
543C3⋊C8—101no—
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—32no—
553C2×D5—61no—
554C2×D5—61no—
555C4×C5—41no—
556C4×C5—61no—
557C4×C5—61no—
558C4×C5—121no—
559C4×C5C22×C4×D311yescharacteristic
560C4×C5D3×#4111yescharacteristic
561Dic5—21no—
562Dic5—21no—
563Dic5—22no—
564Dic5—32no—
565Dic5—41no—
566Dic5—62no—
567Dic5—121no—
568#41—154no—
569#41—154no—
570#41—302no—
571#41—302no—
572C2×Q8—51no—
573C2×Q8—151no—
574C2×D4—31no—
575C2×D4—301no—
576C2×D4—301no—
577C2×D4C2×D3×D511yescharacteristic
578C22×C4—61no—
579C22×C4—61no—
580C22×C4—101no—
581C22×C4—151no—
582C22×C4—301no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—154no—
588SD16—54no—
589SD16—154no—
590D8—34no—
591M16—302no—
592C2×C8—31no—
593C2×C8—51no—
594C2×C8—154no—
595C2×C8—151no—
596C2×C8C2×D3×D511yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—51no—
599C4⋊C4—101no—
600C4⋊C4—151no—
601C4⋊C4—151no—
602C4⋊C4—151no—
603C4⋊C4—301no—
604C4⋊C4—301no—
605C4⋊C4—301no—
606C4⋊C4—301no—
607C4⋊C4—301no—
608C4⋊C4C2×D3×D511yescharacteristic
609C22⋊C4—61no—
610C22⋊C4—61no—
611C22⋊C4—101no—
612C22⋊C4—151no—
613C22⋊C4—151no—
614C22⋊C4—301no—
615C42—31no—
616C42—51no—
617C42—101no—
618C42—301no—
619C42—301no—
620C42—301no—
621C3×C5#295211yescharacteristic, complemented, Hall
622C22×C3—22no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3C2×D4×D511yescharacteristic
626C2×D3—22no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—52no—
630C2×D3—101no—
631C2×D3—101no—
632C3×C4—41no—
633C3×C4—101no—
634C3×C4—101no—
635C3×C4—102no—
636C3×C4—201no—
637C3×C4C22×C4×D511yescharacteristic
638C3×C4D5×#4111yescharacteristic
639Dic3—21no—
640Dic3—21no—
641Dic3—41no—
642Dic3—52no—
643Dic3—102no—
644Dic3—201no—
645C2×C5—42no—
646C2×C5—122no—
647C2×C5C4×D3×D411yescharacteristic
648C2×C5#576211yescharacteristic
649C2×C5#577011yescharacteristic
650D5—62no—
651C23—21no—
652C23—61no—
653C23—151no—
654Q8—52no—
655Q8—101no—
656Q8—152no—
657Q8—301no—
658D4—21no—
659D4—32no—
660D4—61no—
661D4—304no—
662D4—304no—
663D4C4×D3×D512yes—
664C2×C4—21no—
665C2×C4—31no—
666C2×C4—31no—
667C2×C4—51no—
668C2×C4—51no—
669C2×C4—61no—
670C2×C4—101no—
671C2×C4—101no—
672C2×C4—151no—
673C2×C4—152no—
674C2×C4—152no—
675C2×C4—241no—
676C2×C4—241no—
677C2×C4—304no—
678C2×C4—304no—
679C2×C4—301no—
680C2×C4—301no—
681C2×C4—401no—
682C2×C4—1201no—
683C2×C4—1201no—
684C2×C4—1201no—
685C2×C4C22×D3×D511yescharacteristic
686C8—21no—
687C8—32no—
688C8—52no—
689C8—301no—
690C2×C3—42no—
691C2×C3C4×D4×D511yescharacteristic
692C2×C3#6610911yescharacteristic
693C2×C3#6610911yescharacteristic
694D3—42no—
695D3—102no—
696C5#7965011yescharacteristic, complemented, Sylow
697C22—22no—
698C22—41no—
699C22—41no—
700C22—62no—
701C22—121no—
702C22—121no—
703C22—152no—
704C22—301no—
705C22—301no—
706C22D3×D4×D511yescharacteristic
707C4—41no—
708C4—61no—
709C4—61no—
710C4—101no—
711C4—101no—
712C4—102no—
713C4—121no—
714C4—152no—
715C4—201no—
716C4—302no—
717C4—601no—
718C4C2×C4×D3×D511yescharacteristic
719C4#9202411yescharacteristic
720C3#1061159911yescharacteristic, complemented, Sylow
721C2—42no—
722C2—122no—
723C2—302no—
724C2#1175320311yescharacteristic
725C2#1175406211yescharacteristic
726C2#1175408111yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#102C22
socleC22×C3×C5C22×D4
prime radicalC2×#91499C2
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. #11754916C2semidirect
3. #11753407C2semidirect
4. #11750872C2semidirect
5. C5×#4785C2semidirect
6. C3×#65047C2semidirect
7. Dic3×#687C2semidirect
8. #11748977C2semidirect
9. #11748146C2semidirect
10. #11748053C2semidirect
11. #11747832C2semidirect
12. #11747744C2semidirect
13. #11747441C2semidirect
14. #11747277C2semidirect
15. #11747269C2semidirect
31. #91499C4semidirect
74. #65047D3semidirect
81. #6819C2×C4semidirect
95. #6768C2×C4semidirect
103. C5×#213C2×C4semidirect
109. C3×#687C2×C4semidirect
127. #6662C2×C4semidirect
128. #6659C2×C4semidirect
129. #6648C2×C4semidirect
141. #4785D5semidirect
303. #687C4×D3semidirect
394. #213C4×D5semidirect
621. C3×C5#2952semidirect
696. C5#79650semidirect
720. C3#10611599semidirect

Maximal subgroups

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

subgroupindex
#117549162
C2×#914992
#117534072
#117508722
C5×#47852
C3×#650472
Dic3×#6872
#117489772
#117481462
#117480532
#117478322
#117477442
#117474412
#117472772
#117472692
#106115993
#796505