Finite Group Databasebeta

← #14416581

Subgroups — #14416581

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
1C3×C4×#711C211yesmaximal, characteristic, complemented
2C2×#91490C211yesmaximal, characteristic
3C4×#6772C211yesmaximal, characteristic, complemented
4#11751119C211yesmaximal, characteristic, complemented
5C5×#5014C211yesmaximal, characteristic, complemented
6#11749004C211yesmaximal, characteristic, complemented
7#11748977C211yesmaximal, characteristic, complemented
8#11748961C211yesmaximal, characteristic, complemented
9#11747499C211yesmaximal, characteristic, complemented
10#11747433C211yesmaximal, characteristic, complemented
11#11747269C211yesmaximal, characteristic, complemented
12#11747217C211yesmaximal, characteristic, complemented
13#11747091C211yesmaximal, characteristic, complemented
14#11747050C211yesmaximal, characteristic, complemented
15D5×#803C211yesmaximal, characteristic, complemented
16#10611595—31nomaximal, Hall
17C2×C3×#711C2211yescharacteristic
18C2×#6772C2211yescharacteristic
19C3×C4×C5×D4C2211yescharacteristic
20C2×#6716C2211yescharacteristic
21C4×Dic30C2211yescharacteristic
22C2×C5×#213C2211yescharacteristic
23C4×C5×D12C2211yescharacteristic
24C3×D4×Dic5C2211yescharacteristic
25C3×C4×C22⋊D5—21no—
26C2×C3×C4×Dic5—21no—
27C3×#4038C2211yescharacteristic
28C3×#4033C2211yescharacteristic
29C3×#4027—21no—
30C3×#4023—21no—
31C3×C42×D5C2211yescharacteristic
32C3×C4×Dic10C2211yescharacteristic
33#91490C418yescomplemented
34#91440—21no—
35C4×#1201—21no—
36Dic5×D12C2211yescharacteristic
37#91398—21no—
38C4×D3×Dic5—21no—
39#91358C2211yescharacteristic
40#91333C2211yescharacteristic
41C2×#6662C2211yescharacteristic
42C2×#6656C2211yescharacteristic
43C2×D5×C3⋊C8C2211yescharacteristic
44C2×D5×C3⋊C8C2211yescharacteristic
45#91116C2211yescharacteristic
46#91094C2211yescharacteristic
47#91091C2211yescharacteristic
48#91087C2211yescharacteristic
49C5×#832C2211yescharacteristic
50C5×#809C2211yescharacteristic
51C5×#808C2211yescharacteristic
52C5×#803C2211yescharacteristic
53#90989C2211yescharacteristic
54#90987C2211yescharacteristic
55#90974C2211yescharacteristic
56#90971C2211yescharacteristic
57#90970C2211yescharacteristic
58#90966C2211yescharacteristic
59#90952C2211yescharacteristic
60#90952C2211yescharacteristic
61#82506—51nomaximal, Hall
62C2×#4058—31no—
63C4×#711—31no—
64C4×#711D311yescharacteristic, complemented
65C5×#442—31no—
66#65441—31no—
67#65307—31no—
68#65307—31no—
69#65149—31no—
70#65142—31no—
71#65061—31no—
72#65061—31no—
73#65046—31no—
74#65046—31no—
75#65005—31no—
76D5×#97—31no—
77C2×C3×C5×D4C2311yescharacteristic
78C22×C3×C4×C5—21no—
79C2×Dic30C2311yescharacteristic
80C2×C5×D12C2311yescharacteristic
81C2×C4×C5×D3—21no—
82C2×C3×C22⋊D5—21no—
83C22×C3×Dic5—21no—
84C22×C3×Dic5—21no—
85C3×#711—22no—
86C3×#711C2×C414yescomplemented
87C2×C3×C4×D5D411yescharacteristic
88C2×C3×C4×D5D411yescharacteristic
89C2×C3×C4×D5C2311yescharacteristic
90C2×C3×Dic10C2311yescharacteristic
91C2×#1201—21no—
92C2×D3×Dic5—21no—
93C2×D3×Dic5—21no—
94#6772—22no—
95#6772C2×C414yescomplemented
96C3×C5×C4⋊C4C2311yescharacteristic
97C3×C5×C22⋊C4—21no—
98C3×C42×C5C2311yescharacteristic
99#6716C2×C414yescomplemented
100C4⋊Dic15C2311yescharacteristic
101#6712—21no—
102C4×Dic15—21no—
103C2×C3⋊#168C2311yescharacteristic
104C2×C3⋊#168C2311yescharacteristic
105C5×#213C2×C414yescomplemented
106C5×(C2×D3)⋊C4—21no—
107C5×C4⋊Dic3C2311yescharacteristic
108C2×C5×C3⋊C8C2311yescharacteristic
109C2×C5×C3⋊C8C2311yescharacteristic
110C3×C22⋊Dic5—21no—
111C3×#685—21no—
112C3×C4⋊Dic5C2311yescharacteristic
113C3×#683—21no—
114C3×#683—21no—
115C3×C4×Dic5—21no—
116C3×C4×Dic5—21no—
117C3×C4×Dic5—21no—
118C3×C4×Dic5D411yescharacteristic
119C3×C4×Dic5D411yescharacteristic
120C3×C4×Dic5C2311yescharacteristic
121#6669—21no—
122(C2×D3)⋊Dic5—21no—
123#6665—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126#6662C2×C414yescomplemented
127#6656C2×C414yescomplemented
128D5×C3⋊C8—22no—
129D5×C3⋊C8C2×C414yescomplemented
130C3×C4×#41—51no—
131C2×#950—51no—
132C4×#235—51no—
133#5233—51no—
134#5030—51no—
135#5030—51no—
136#5026—51no—
137#5026—51no—
138#5018—51no—
139#5018—51no—
140#5014—51no—
141#5014D511yescharacteristic, complemented
142#5002—51no—
143#4998—51no—
144C2×#803—51no—
145C2×#711—31no—
146C2×#711C2×D311yescharacteristic
147C2×C5×D8—31no—
148C4×C5×D4—31no—
149C4×C5×D4C2×D311yescharacteristic
150D4×Dic5—31no—
151D4×Dic5C2×D311yescharacteristic
152C2×#687—31no—
153C2×#687—31no—
154C4×C22⋊D5—21no—
155C4×C22⋊D5—61no—
156C2×C4×Dic5—21no—
157C2×C4×Dic5—61no—
158#4058—38no—
159C2×Dic20—31no—
160C2×C8×D5—31no—
161C2×C8×D5—31no—
162#4038—31no—
163#4038C2×D311yescharacteristic
164#4033—31no—
165#4033C2×D311yescharacteristic
166#4027—21no—
167#4027—61no—
168#4023—21no—
169#4023—61no—
170C42×D5C2×D311yescharacteristic
171C4×Dic10—31no—
172C4×Dic10C2×D311yescharacteristic
173C5×#106—31no—
174C5×#102—31no—
175C5×#102—31no—
176C5×#97—31no—
177#3964—31no—
178#3964—31no—
179#3949—31no—
180#3948—31no—
181#3948—31no—
182#3947—31no—
183#3947—31no—
184#3942—31no—
185#3942—31no—
186#3939—31no—
187#3939—31no—
188#3935—31no—
189#2943—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×C5—42no—
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2×D411yescharacteristic
199C2×C3×C4×C5C2411yescharacteristic
200C2×Dic15—21no—
201C2×Dic15—21no—
202Dic30—21no—
203Dic30C22×C412yes—
204C2×C5×Dic3—21no—
205C5×D12—21no—
206C5×D12C22×C412yes—
207C4×C5×D3—42no—
208C3×C22⋊D5—24no—
209C2×C3×Dic5—21no—
210C2×C3×Dic5—24no—
211C2×C3×Dic5—21no—
212C2×C3×Dic5—42no—
213C2×C3×Dic5C2×D411yescharacteristic
214C2×C3×Dic5C2×D411yescharacteristic
215C2×C3×Dic5C2×D411yescharacteristic
216C3×C4×D5—41no—
217C3×C4×D5—41no—
218C3×C4×D5C22×C412yes—
219C3×C4×D5#4112yes—
220C3×Dic10—21no—
221C3×Dic10C22×C412yes—
222#1201—24no—
223D3×Dic5—24no—
224D3×Dic5—42no—
225C3⋊#168—21no—
226C3⋊#168C22×C412yes—
227C5×C3⋊C8—21no—
228C5×C3⋊C8C22×C412yes—
229C2×C3×#41—51no—
230C2×#235—51no—
231C3×C4×Q8—51no—
232C3×C4×Q8—51no—
233C3×C4×D4—51no—
234C3×C4×D4—101no—
235C3×C4×D4—101no—
236C3×C4×D4C2×D511yescharacteristic
237C3×#117—51no—
238C3×#117—101no—
239C2×C3×C42—51no—
240C2×C3×C42—101no—
241#950—58no—
242C2×#216—51no—
243C2×#215—51no—
244C2×#214—51no—
245C2×#213C2×D511yescharacteristic
246C4×#67—101no—
247C4×#67—101no—
248#926—51no—
249C22×C3⋊C8—51no—
250C22×C3⋊C8—51no—
251C4×D12—51no—
252C4×D12C2×D511yescharacteristic
253#872—101no—
254C42×D3—101no—
255C4×Dic6—51no—
256C4×Dic6—51no—
257#835—51no—
258#835—51no—
259#832—51no—
260#832C2×D511yescharacteristic
261#810—51no—
262#810—51no—
263#809—51no—
264#809C2×D511yescharacteristic
265#808—51no—
266#808C2×D511yescharacteristic
267#807—51no—
268#807—51no—
269#803—51no—
270#803—51no—
271#803—51no—
272#803C2×D511yescharacteristic
273C2×C5×D4—31no—
274C2×C5×D4C22×D311yescharacteristic
275C22×C4×C5—21no—
276C22×C4×C5—61no—
277C2×C22⋊D5—21no—
278C2×C22⋊D5—61no—
279C22×Dic5—21no—
280C22×Dic5—21no—
281C22×Dic5—61no—
282C22×Dic5—61no—
283#711—22no—
284#711—34no—
285#711—62no—
286#711C4×D314yescomplemented
287C2×C4×D5#6711yescharacteristic
288C2×C4×D5#6711yescharacteristic
289C2×C4×D5C22×D311yescharacteristic
290C2×Dic10—31no—
291C2×Dic10C22×D311yescharacteristic
292C5×D8—34no—
293C2×C5×C8—31no—
294C2×C5×C8—31no—
295C5×C4⋊C4—31no—
296C5×C4⋊C4C22×D311yescharacteristic
297C5×C22⋊C4—21no—
298C5×C22⋊C4—61no—
299C42×C5C22×D311yescharacteristic
300C22⋊Dic5—21no—
301C22⋊Dic5—61no—
302#687—34no—
303#687—34no—
304#685—21no—
305#685—61no—
306C4⋊Dic5—31no—
307C4⋊Dic5C22×D311yescharacteristic
308#683—21no—
309#683—21no—
310#683—61no—
311#683—61no—
312C4×Dic5—21no—
313C4×Dic5—21no—
314C4×Dic5—21no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5#6711yescharacteristic
319C4×Dic5#6711yescharacteristic
320C4×Dic5C22×D311yescharacteristic
321C2×#168—31no—
322C2×#168—31no—
323Dic20—34no—
324C8×D5—34no—
325C8×D5—62no—
326C2×#135—151no—
327C4×#41—51no—
328C4×#41—151no—
329#442—31no—
330#442—151no—
331#441—151no—
332#441—151no—
333#440—151no—
334#440—151no—
335#440—151no—
336#440—151no—
337#427—151no—
338#416—151no—
339#416—151no—
340C2×#97—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—21no—
352C3×C4×C5—21no—
353C3×C4×C5—41no—
354C3×C4×C5C23×C411yescharacteristic
355C3×C4×C5C2×#4111yescharacteristic
356Dic15—22no—
357Dic15—41no—
358C3×Dic5—22no—
359C3×Dic5—21no—
360C3×Dic5—21no—
361C3×Dic5—41no—
362C3×Dic5C4×D412yes—
363C5×Dic3—41no—
364C3×#41—54no—
365C3×#41—102no—
366C2×C3×Q8—51no—
367C2×C3×D4—101no—
368C2×C3×D4C22×D511yescharacteristic
369C22×C3×C4—21no—
370C22×C3×C4—51no—
371C22×C3×C4—51no—
372C22×C3×C4—51no—
373C22×C3×C4—101no—
374C22×C3×C4—101no—
375C2×#67—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—
383C3×C4⋊C4—51no—
384C3×C4⋊C4—101no—
385C3×C4⋊C4—101no—
386C3×C4⋊C4C22×D511yescharacteristic
387C3×C22⋊C4—21no—
388C3×C22⋊C4—101no—
389C3×C22⋊C4—101no—
390C3×C42—51no—
391C3×C42—51no—
392C3×C42—51no—
393C3×C42—101no—
394C3×C42—101no—
395C3×C42—101no—
396C3×C42C22×D511yescharacteristic
397#217—101no—
398#216—54no—
399#215—54no—
400#214—54no—
401#213C4×D514yescomplemented
402(C2×D3)⋊C4—21no—
403(C2×D3)⋊C4—101no—
404C4⋊Dic3—51no—
405C4⋊Dic3C22×D511yescharacteristic
406Dic3⋊C4—101no—
407Dic3⋊C4—101no—
408C4×Dic3—101no—
409C4×Dic3—101no—
410C4×Dic3—101no—
411C2×C3⋊C8—51no—
412C2×C3⋊C8—54no—
413C2×C3⋊C8—51no—
414C2×C3⋊C8—102no—
415C2×C3⋊C8C22×D511yescharacteristic
416C2×C3⋊C8C22×D511yescharacteristic
417C23×C5—21no—
418C23×C5—61no—
419C22×D5C2×#6711yescharacteristic
420C5×D4—21no—
421C5×D4—32no—
422C5×D4—61no—
423C5×D4C2×C4×D312yes—
424C2×C4×C5—21no—
425C2×C4×C5—42no—
426C2×C4×C5—61no—
427C2×C4×C5—122no—
428C2×C4×C5C2×#6711yescharacteristic
429C2×C4×C5C2×#6711yescharacteristic
430C2×C4×C5C23×D311yescharacteristic
431C22⋊D5—24no—
432C22⋊D5—64no—
433C2×Dic5—21no—
434C2×Dic5—24no—
435C2×Dic5—21no—
436C2×Dic5—42no—
437C2×Dic5—61no—
438C2×Dic5—64no—
439C2×Dic5—61no—
440C2×Dic5—122no—
441C2×Dic5C2×#6711yescharacteristic
442C2×Dic5C2×#6711yescharacteristic
443C2×Dic5C2×#6711yescharacteristic
444C4×D5—41no—
445C4×D5—41no—
446C4×D5C2×C4×D312yes—
447C4×D5#23512yes—
448Dic10—21no—
449Dic10—32no—
450Dic10—61no—
451Dic10C2×C4×D312yes—
452C5×C8—32no—
453C5×C8—61no—
454#168—32no—
455#168—61no—
456C2×#41—51no—
457C2×#41—151no—
458#135—158no—
459C2×Q16—151no—
460C2×SD16—151no—
461C2×SD16—151no—
462C2×D8—31no—
463C22×C8—151no—
464C22×C8—151no—
465C4×Q8—51no—
466C4×Q8—51no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×D4—31no—
470C4×D4—51no—
471C4×D4—101no—
472C4×D4—101no—
473C4×D4—151no—
474C4×D4—301no—
475C4×D4—301no—
476C4×D4D3×D511yescharacteristic
477#117—51no—
478#117—101no—
479#117—151no—
480#117—301no—
481C2×C42—51no—
482C2×C42—101no—
483C2×C42—301no—
484#107—151no—
485#107—151no—
486#106—31no—
487#106—151no—
488#103—151no—
489#103—151no—
490#103—151no—
491#103—151no—
492#102—31no—
493#102—31no—
494#102—151no—
495#102—151no—
496#97—31no—
497#97—151no—
498#97—151no—
499#97—151no—
500C2×C3×C5—42no—
501C2×C3×C5C2×C4×D411yescharacteristic
502C2×C3×C5#57511yescharacteristic
503C2×C3×C5#57511yescharacteristic
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—42no—
516C2×C3×C4—51no—
517C2×C3×C4—52no—
518C2×C3×C4—52no—
519C2×C3×C4—51no—
520C2×C3×C4—51no—
521C2×C3×C4—104no—
522C2×C3×C4—101no—
523C2×C3×C4—101no—
524C2×C3×C4—201no—
525C2×C3×C4—201no—
526C2×C3×C4—202no—
527C2×C3×C4D4×D511yescharacteristic
528C2×C3×C4D4×D511yescharacteristic
529C2×C3×C4C23×D511yescharacteristic
530#67—104no—
531C2×Dic3—21no—
532C2×Dic3—101no—
533C2×Dic3—101no—
534D12—21no—
535D12C2×C4×D512yes—
536C4×D3—42no—
537C4×D3—104no—
538C4×D3—202no—
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×C5C22×#6711yescharacteristic
552C2×D5—21no—
553C2×D5—21no—
554C2×D5C4×#6712yes—
555C4×C5—21no—
556C4×C5—21no—
557C4×C5—41no—
558C4×C5—121no—
559C4×C5C22×C4×D311yescharacteristic
560C4×C5C2×#23511yescharacteristic
561Dic5—22no—
562Dic5—21no—
563Dic5—21no—
564Dic5—41no—
565Dic5—62no—
566Dic5—121no—
567Dic5C4×#6712yes—
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—21no—
579C22×C4—51no—
580C22×C4—51no—
581C22×C4—51no—
582C22×C4—61no—
583C22×C4—101no—
584C22×C4—101no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—154no—
588SD16—154no—
589SD16—154no—
590D8—34no—
591C2×C8—31no—
592C2×C8—31no—
593C2×C8—154no—
594C2×C8—151no—
595C2×C8—151no—
596C2×C8—302no—
597C4⋊C4—31no—
598C4⋊C4—51no—
599C4⋊C4—101no—
600C4⋊C4—101no—
601C4⋊C4—151no—
602C4⋊C4—301no—
603C4⋊C4—301no—
604C4⋊C4C2×D3×D511yescharacteristic
605C22⋊C4—21no—
606C22⋊C4—61no—
607C22⋊C4—101no—
608C22⋊C4—101no—
609C22⋊C4—301no—
610C22⋊C4—301no—
611C42—51no—
612C42—51no—
613C42—51no—
614C42—101no—
615C42—101no—
616C42—101no—
617C42—301no—
618C42—301no—
619C42—301no—
620C42C2×D3×D511yescharacteristic
621C3×C5#294311yescharacteristic, 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—21no—
633C3×C4—21no—
634C3×C4—41no—
635C3×C4—52no—
636C3×C4—101no—
637C3×C4—101no—
638C3×C4—102no—
639C3×C4—201no—
640C3×C4C22×C4×D511yescharacteristic
641C3×C4D5×#4111yescharacteristic
642Dic3—41no—
643Dic3—102no—
644Dic3—201no—
645C2×C5—42no—
646C2×C5—122no—
647C2×C5C2×C4×#6711yescharacteristic
648C2×C5#582211yescharacteristic
649C2×C5#582211yescharacteristic
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—42no—
666C2×C4—51no—
667C2×C4—52no—
668C2×C4—52no—
669C2×C4—51no—
670C2×C4—51no—
671C2×C4—61no—
672C2×C4—104no—
673C2×C4—101no—
674C2×C4—101no—
675C2×C4—122no—
676C2×C4—201no—
677C2×C4—201no—
678C2×C4—202no—
679C2×C4—304no—
680C2×C4—301no—
681C2×C4—301no—
682C2×C4—602no—
683C2×C4D5×#6711yescharacteristic
684C2×C4D5×#6711yescharacteristic
685C2×C4C22×D3×D511yescharacteristic
686C8—32no—
687C8—61no—
688C8—152no—
689C8—301no—
690C2×C3—42no—
691C2×C3—102no—
692C2×C3C4×D4×D511yescharacteristic
693C2×C3#6610711yescharacteristic
694C2×C3#6610711yescharacteristic
695D3—42no—
696C5#8250611yescharacteristic, complemented, Sylow
697C22—22no—
698C22—41no—
699C22—41no—
700C22—52no—
701C22—62no—
702C22—101no—
703C22—101no—
704C22—121no—
705C22—121no—
706C22C2×D5×#6711yescharacteristic
707C4—21no—
708C4—21no—
709C4—41no—
710C4—52no—
711C4—101no—
712C4—102no—
713C4—101no—
714C4—121no—
715C4—201no—
716C4—302no—
717C4—601no—
718C4C2×C4×D3×D511yescharacteristic
719C4D5×#23511yescharacteristic
720C3#1061159511yescharacteristic, complemented, Sylow
721C2—42no—
722C2—102no—
723C2—122no—
724C2C4×D5×#6711yescharacteristic
725C2#1175469011yescharacteristic
726C2#1175534311yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×D4C22
socleC22×C3×C5C22×D4
prime radicalC2×#91490C2
cosocleC2×C3×C4×C5C24
hypercenterC4×D4D3×D5
hypocenterC3×C5#2943
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C3×C4×#711C2semidirect
3. C4×#6772C2semidirect
4. #11751119C2semidirect
5. C5×#5014C2semidirect
6. #11749004C2semidirect
7. #11748977C2semidirect
8. #11748961C2semidirect
9. #11747499C2semidirect
10. #11747433C2semidirect
11. #11747269C2semidirect
12. #11747217C2semidirect
13. #11747091C2semidirect
14. #11747050C2semidirect
15. D5×#803C2semidirect
33. #91490C4semidirect
64. C4×#711D3semidirect
86. C3×#711C2×C4semidirect
95. #6772C2×C4semidirect
99. #6716C2×C4semidirect
105. C5×#213C2×C4semidirect
126. #6662C2×C4semidirect
127. #6656C2×C4semidirect
129. D5×C3⋊C8C2×C4semidirect
141. #5014D5semidirect
286. #711C4×D3semidirect
401. #213C4×D5semidirect
621. C3×C5#2943semidirect
696. C5#82506semidirect
720. C3#10611595semidirect

Maximal subgroups

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

subgroupindex
C3×C4×#7112
C2×#914902
C4×#67722
#117511192
C5×#50142
#117490042
#117489772
#117489612
#117474992
#117474332
#117472692
#117472172
#117470912
#117470502
D5×#8032
#106115953
#825065