Finite Group Databasebeta

← #14417701

Subgroups — #14417701

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
1C2×#91276C211yesmaximal, characteristic
2#11753407C211yesmaximal, characteristic, complemented
3#11753401C211yesmaximal, characteristic, complemented
4D15×#107C211yesmaximal, characteristic, complemented
5C5×#4889C211yesmaximal, characteristic, complemented
6C3×#65178C211yesmaximal, characteristic, complemented
7#11747795C211yesmaximal, characteristic, complemented
8#11747769C211yesmaximal, characteristic, complemented
9#11747668C211yesmaximal, characteristic, complemented
10#11747509C211yesmaximal, characteristic, complemented
11#11747507C211yesmaximal, characteristic, complemented
12#11747266C211yesmaximal, characteristic, complemented
13#11747263C211yesmaximal, characteristic, complemented
14#11747219C211yesmaximal, characteristic, complemented
15#11747216C211yesmaximal, characteristic, complemented
16#10611509—31nomaximal, Hall
17C2×#6768C2211yescharacteristic
18C2×#6766C2211yescharacteristic
19C2×C8×D15C2211yescharacteristic
20C4⋊C4×D15C2211yescharacteristic
21C4⋊C4×D15C2211yescharacteristic
22C2×C5×#204C2211yescharacteristic
23C5×#893C2211yescharacteristic
24C5×#887C2211yescharacteristic
25C2×C3×#677C2211yescharacteristic
26C3×#4039C2211yescharacteristic
27C3×#4033C2211yescharacteristic
28C4×#1203—21no—
29C4×#1202—21no—
30Dic3×D20C2211yescharacteristic
31Dic5×D12C2211yescharacteristic
32#91406—21no—
33D3×#683—21no—
34#91398—21no—
35#91396—21no—
36#91393—21no—
37D5×Dic3⋊C4—21no—
38#91386C2211yescharacteristic
39Dic5×Dic6C2211yescharacteristic
40Dic3×Dic10C2211yescharacteristic
41C2×#6661C2211yescharacteristic
42C2×#6652C2211yescharacteristic
43C2×#6651C2211yescharacteristic
44#91276C418yescomplemented
45C3×C5×#107C2211yescharacteristic
46#91102C2211yescharacteristic
47#91091C2211yescharacteristic
48#91091C2211yescharacteristic
49C5×#815C2211yescharacteristic
50C5×#810C2211yescharacteristic
51C5×#809C2211yescharacteristic
52C3×#3947C2211yescharacteristic
53C3×#3942C2211yescharacteristic
54C3×#3941C2211yescharacteristic
55#90973C2211yescharacteristic
56#90971C2211yescharacteristic
57#90967C2211yescharacteristic
58#90965C2211yescharacteristic
59Dic3×#168C2211yescharacteristic
60Dic5×C3⋊C8C2211yescharacteristic
61#79778—51nomaximal, Hall
62C2×#4062—31no—
63#65908—31no—
64#65880—31no—
65C5×#440—31no—
66#65453—31no—
67C4×#689—31no—
68C4×#686—31no—
69#65178D311yescharacteristic, complemented
70D5×#107—31no—
71#65092—31no—
72#65079—31no—
73#65060—31no—
74#65045—31no—
75#64999—31no—
76#64997—31no—
77C2×C4×D15—21no—
78C2×C4×D15—21no—
79C2×C4×D15C2311yescharacteristic
80C2×C5×D12C2311yescharacteristic
81C2×C4×C5×D3—21no—
82C2×C5×Dic6C2311yescharacteristic
83C2×C3×D20C2311yescharacteristic
84C2×C3×C4×D5—21no—
85C2×C3×Dic10C2311yescharacteristic
86C2×#1203—21no—
87C2×#1202—21no—
88C2×D3×Dic5—21no—
89C2×D3×Dic5—21no—
90C2×D5×Dic3—21no—
91C2×D5×Dic3—21no—
92#6768—22no—
93#6768C2×C414yescomplemented
94#6766—22no—
95#6766C2×C414yescomplemented
96C2×C3×C5×C8C2311yescharacteristic
97C3×C5×C4⋊C4C2311yescharacteristic
98C3×C5×C4⋊C4C2311yescharacteristic
99C4⋊Dic15C2311yescharacteristic
100C4⋊Dic15C2311yescharacteristic
101#6712—21no—
102#6712—21no—
103C2×C3⋊#168C2311yescharacteristic
104C8×D15C2×C414yescomplemented
105C5×(C2×D3)⋊C4—21no—
106C5×Dic3⋊C4—21no—
107C4×C5×Dic3—21no—
108C4×C5×Dic3C2311yescharacteristic
109C2×C5×C3⋊C8C2311yescharacteristic
110C5×#204C2×C414yescomplemented
111C3×#685—21no—
112C3×#683—21no—
113C3×C4×Dic5—21no—
114C3×C4×Dic5C2311yescharacteristic
115C2×C3×#168C2311yescharacteristic
116C3×#677C2×C414yescomplemented
117Dic3⋊Dic5—21no—
118#6669D411yescharacteristic
119#6669D411yescharacteristic
120#6668—21no—
121#6667D411yescharacteristic
122#6667D411yescharacteristic
123(C2×D3)⋊Dic5—21no—
124#6665—21no—
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127#6661C2×C414yescomplemented
128#6652C2×C414yescomplemented
129#6651—22no—
130C2×#916—51no—
131#5574—51no—
132#5546—51no—
133C3×#440—51no—
134#5164—51no—
135C4×#216—51no—
136C4×#213—51no—
137#4889D511yescharacteristic, complemented
138D3×#107—51no—
139#4803—51no—
140#4790—51no—
141#4771—51no—
142#4756—51no—
143#4710—51no—
144#4708—51no—
145C2×#713—31no—
146C2×#711—31no—
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×#677C2×D311yescharacteristic
158C2×#676—31no—
159C2×C8×D5—31no—
160#4039—61no—
161#4039C2×D311yescharacteristic
162D5×C4⋊C4—31no—
163D5×C4⋊C4—31no—
164D5×C4⋊C4—61no—
165#4033C2×D311yescharacteristic
166#4027—61no—
167#4023—61no—
168C4×D20—31no—
169C4×D20—61no—
170#4018—31no—
171#4018—61no—
172C4×Dic10—31no—
173C5×#107C2×D311yescharacteristic
174C5×#103—31no—
175C5×#102—31no—
176C5×#97—31no—
177#3967—31no—
178#3964—31no—
179#3953—31no—
180#3950—31no—
181#3948—31no—
182#3947C2×D311yescharacteristic
183C8×Dic5—31no—
184#3942C2×D311yescharacteristic
185#3941C2×D311yescharacteristic
186#3939—31no—
187#3939—31no—
188C4×#168—31no—
189#2951—151noSylow
190C22×D15C2×D411yescharacteristic
191C22×C5×D3—21no—
192C22×C3×D5—21no—
193C2×C3×C4×C5—21no—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5C2411yescharacteristic
196C2×Dic15—21no—
197C2×Dic15—21no—
198C2×Dic15C2×D411yescharacteristic
199C4×D15—81no—
200C4×D15—81no—
201C4×D15C22×C412yes—
202C4×D15#4112yes—
203C2×C5×Dic3—21no—
204C2×C5×Dic3C2×D411yescharacteristic
205C2×C5×Dic3C2×D411yescharacteristic
206C5×D12—21no—
207C5×D12C22×C412yes—
208C4×C5×D3—81no—
209C5×Dic6—21no—
210C5×Dic6C22×C412yes—
211C2×C3×Dic5—21no—
212C2×C3×Dic5C2×D411yescharacteristic
213C2×C3×Dic5C2×D411yescharacteristic
214C3×D20—21no—
215C3×D20C22×C412yes—
216C3×C4×D5—81no—
217C3×Dic10—21no—
218C3×Dic10C22×C412yes—
219#1203—24no—
220#1202—24no—
221D3×Dic5—24no—
222D3×Dic5—81no—
223D5×Dic3—24no—
224D5×Dic3—81no—
225C3×C5×C8C22×C412yes—
226C3⋊#168C22×C412yes—
227C3×#168—21no—
228C5×C3⋊C8—21no—
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×Dic3—51no—
237C2×#213—51no—
238C4×#67—101no—
239C2×Dic3⋊C4—101no—
240#916—58no—
241C2×#204C2×D511yescharacteristic
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#887C2×D511yescharacteristic
250#67⋊C4—101no—
251#877—101no—
252C4×D12—51no—
253C4×D12—101no—
254#872—51no—
255#872—101no—
256C4×Dic6—51no—
257C3×#107C2×D511yescharacteristic
258C3×#103—51no—
259C3×#102—51no—
260C3×#97—51no—
261#835—51no—
262#832—51no—
263#821—51no—
264#818—51no—
265#816—51no—
266#815C2×D511yescharacteristic
267C8×Dic3—51no—
268#810C2×D511yescharacteristic
269#809C2×D511yescharacteristic
270#807—51no—
271#807—51no—
272C4×C3⋊C8—51no—
273C2×C5×Q8—31no—
274C2×C5×D4—31no—
275C22×C4×C5—61no—
276C2×C22⋊D5—61no—
277C22×Dic5—61no—
278C22×Dic5—61no—
279#713—34no—
280#713—62no—
281#711—34no—
282#711—62no—
283C2×D20—61no—
284C2×D20C22×D311yescharacteristic
285C2×C4×D5—21no—
286C2×C4×D5—31no—
287C2×C4×D5—61no—
288C2×C4×D5—61no—
289C2×C4×D5—61no—
290C2×C4×D5—61no—
291C2×Dic10C22×D311yescharacteristic
292C5×SD16—34no—
293C2×C5×C8—31no—
294C2×C5×C8C22×D311yescharacteristic
295C5×C4⋊C4—61no—
296C5×C4⋊C4C22×D311yescharacteristic
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—21no—
305#685—31no—
306#685—31no—
307#685—61no—
308C4⋊Dic5—31no—
309C4⋊Dic5—31no—
310C4⋊Dic5—61no—
311#683—21no—
312#683—31no—
313#683—31no—
314#683—61no—
315#683—61no—
316#683—61no—
317C4×Dic5—21no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5C22×D311yescharacteristic
321C2×#168—31no—
322C2×#168C22×D311yescharacteristic
323#677C4×D314yescomplemented
324#676—62no—
325C8×D5—34no—
326C2×#135—151no—
327#520—151no—
328#520—151no—
329#440—31no—
330#440—51no—
331#440—151no—
332#440—151no—
333C4×Q16—151no—
334C4×Q16—151no—
335C4×D8—151no—
336C4×D8—151no—
337C2×#107—151no—
338#417—151no—
339#417—151no—
340#405—151no—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—21no—
343C2×D15—21no—
344C2×D15C4×D412yes—
345C2×C5×D3—22no—
346C2×C5×D3—41no—
347C2×C5×D3—41no—
348C2×C3×D5—22no—
349C2×C3×D5—41no—
350C2×C3×D5—41no—
351C3×C4×C5—41no—
352C3×C4×C5—41no—
353C3×C4×C5C23×C411yescharacteristic
354C3×C4×C5C2×#4111yescharacteristic
355Dic15—41no—
356Dic15—41no—
357Dic15C4×D412yes—
358C3×Dic5—22no—
359C3×Dic5—21no—
360C3×Dic5—21no—
361C5×Dic3—22no—
362C5×Dic3—21no—
363C5×Dic3—21no—
364C2×C3×Q8—51no—
365C2×C3×D4—51no—
366C22×C3×C4—101no—
367C2×#67—101no—
368C22×Dic3—101no—
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×Dic6C22×D511yescharacteristic
383C3×SD16—54no—
384C2×C3×C8—51no—
385C2×C3×C8C22×D511yescharacteristic
386C3×C4⋊C4—101no—
387C3×C4⋊C4C22×D511yescharacteristic
388C3×C4⋊C4C22×D511yescharacteristic
389C3×C22⋊C4—101no—
390C3×C42—51no—
391C3×C42—101no—
392#217—101no—
393#216—54no—
394#213—54no—
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—51no—
401C4⋊Dic3—101no—
402Dic3⋊C4—21no—
403Dic3⋊C4—51no—
404Dic3⋊C4—51no—
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407Dic3⋊C4—101no—
408C4×Dic3—21no—
409C4×Dic3—101no—
410C4×Dic3—101no—
411C4×Dic3C22×D511yescharacteristic
412C2×C3⋊C8—51no—
413C2×C3⋊C8C22×D511yescharacteristic
414#204C4×D514yescomplemented
415ΓL(1,𝔽25)—102no—
416D3×C8—54no—
417C23×C5—61no—
418C22×D5—21no—
419C22×D5—31no—
420C5×Q8—32no—
421C5×Q8—61no—
422C5×D4—32no—
423C5×D4—61no—
424C2×C4×C5—21no—
425C2×C4×C5—21no—
426C2×C4×C5—31no—
427C2×C4×C5—31no—
428C2×C4×C5—61no—
429C2×C4×C5—241no—
430C2×C4×C5C23×D311yescharacteristic
431C22⋊D5—64no—
432C2×Dic5—21no—
433C2×Dic5—31no—
434C2×Dic5—64no—
435C2×Dic5—61no—
436C2×Dic5—61no—
437C2×Dic5—241no—
438C2×Dic5D3×D411yescharacteristic
439C2×Dic5D3×D411yescharacteristic
440D20—21no—
441D20—64no—
442D20C2×C4×D312yes—
443C4×D5—32no—
444C4×D5—32no—
445C4×D5—64no—
446C4×D5—81no—
447C4×D5—241no—
448C4×D5—241no—
449C4×D5—241no—
450Dic10—21no—
451Dic10C2×C4×D312yes—
452C5×C8—61no—
453C5×C8C2×C4×D312yes—
454#168—21no—
455#168—32no—
456C2×#41—151no—
457C2×#41—151no—
458#135—158no—
459C2×Q16—151no—
460C2×SD16—31no—
461C2×SD16—51no—
462C2×D8—151no—
463C2×M16—151no—
464C22×C8—151no—
465C4×Q8—31no—
466C4×Q8—51no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×D4—31no—
470C4×D4—51no—
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—151no—
481C2×C4⋊C4—151no—
482C2×C4⋊C4—301no—
483C2×C4⋊C4—301no—
484#107—151no—
485#107—151no—
486#107—151no—
487#107D3×D511yescharacteristic
488#103—31no—
489#103—51no—
490#103—151no—
491#103—151no—
492#102—31no—
493#102—51no—
494#102—151no—
495#102—151no—
496#97—31no—
497#97—51no—
498C4×C8—151no—
499C4×C8—151no—
500C2×C3×C5C2×C4×D411yescharacteristic
501C2×C3×C5#57611yescharacteristic
502C2×C3×C5#57811yescharacteristic
503D15—22no—
504C3×D5—42no—
505C5×D3—42no—
506C23×C3—101no—
507C22×D3—21no—
508C22×D3—51no—
509C3×Q8—52no—
510C3×Q8—101no—
511C3×D4—52no—
512C3×D4—101no—
513C2×C3×C4—21no—
514C2×C3×C4—21no—
515C2×C3×C4—51no—
516C2×C3×C4—51no—
517C2×C3×C4—101no—
518C2×C3×C4—401no—
519C2×C3×C4C23×D511yescharacteristic
520#67—104no—
521C2×Dic3—21no—
522C2×Dic3—51no—
523C2×Dic3—104no—
524C2×Dic3—101no—
525C2×Dic3—101no—
526C2×Dic3—401no—
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—21no—
540Dic6C2×C4×D512yes—
541C3×C8—101no—
542C3×C8C2×C4×D512yes—
543C3⋊C8—21no—
544C3⋊C8—52no—
545C22×C5—62no—
546C22×C5—121no—
547C22×C5—121no—
548C22×C5C2×D3×D411yescharacteristic
549C2×D5—22no—
550C2×D5—32no—
551C2×D5—41no—
552C2×D5—41no—
553C2×D5—61no—
554C2×D5—61no—
555C4×C5—41no—
556C4×C5—41no—
557C4×C5—61no—
558C4×C5—61no—
559C4×C5—62no—
560C4×C5C22×C4×D311yescharacteristic
561C4×C5D3×#4111yescharacteristic
562Dic5—21no—
563Dic5—21no—
564Dic5—22no—
565Dic5—32no—
566Dic5—121no—
567Dic5—121no—
568#41—154no—
569#41—154no—
570#41—302no—
571#41—302no—
572C2×Q8—31no—
573C2×Q8—51no—
574C2×D4—31no—
575C2×D4—51no—
576C2×D4—301no—
577C2×D4—301no—
578C22×C4—61no—
579C22×C4—101no—
580C22×C4—151no—
581C22×C4—301no—
582C22×C4—301no—
583C22×C4—301no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—154no—
588SD16—34no—
589SD16—54no—
590D8—154no—
591M16—302no—
592C2×C8—31no—
593C2×C8—51no—
594C2×C8—151no—
595C2×C8—154no—
596C2×C8C2×D3×D511yescharacteristic
597C4⋊C4—61no—
598C4⋊C4—101no—
599C4⋊C4—151no—
600C4⋊C4—151no—
601C4⋊C4—151no—
602C4⋊C4—151no—
603C4⋊C4—301no—
604C4⋊C4—301no—
605C4⋊C4—301no—
606C4⋊C4—301no—
607C4⋊C4C2×D3×D511yescharacteristic
608C4⋊C4C2×D3×D511yescharacteristic
609C22⋊C4—61no—
610C22⋊C4—101no—
611C22⋊C4—151no—
612C22⋊C4—151no—
613C22⋊C4—301no—
614C22⋊C4—301no—
615C42—31no—
616C42—51no—
617C42—61no—
618C42—101no—
619C42—301no—
620C42—301no—
621C3×C5#295111yescharacteristic, complemented, Hall
622C22×C3—102no—
623C22×C3—201no—
624C22×C3—201no—
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—41no—
634C3×C4—101no—
635C3×C4—101no—
636C3×C4—102no—
637C3×C4C22×C4×D511yescharacteristic
638C3×C4D5×#4111yescharacteristic
639Dic3—21no—
640Dic3—21no—
641Dic3—22no—
642Dic3—52no—
643Dic3—201no—
644Dic3—201no—
645C2×C5—122no—
646C2×C5C4×D3×D411yescharacteristic
647C2×C5#577411yescharacteristic
648C2×C5#577911yescharacteristic
649D5—42no—
650D5—62no—
651C23—61no—
652C23—101no—
653C23—151no—
654Q8—32no—
655Q8—52no—
656Q8—61no—
657Q8—101no—
658D4—32no—
659D4—52no—
660D4—61no—
661D4—101no—
662D4—304no—
663D4—304no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—31no—
667C2×C4—31no—
668C2×C4—51no—
669C2×C4—51no—
670C2×C4—61no—
671C2×C4—101no—
672C2×C4—151no—
673C2×C4—152no—
674C2×C4—152no—
675C2×C4—241no—
676C2×C4—304no—
677C2×C4—304no—
678C2×C4—301no—
679C2×C4—301no—
680C2×C4—401no—
681C2×C4—1201no—
682C2×C4—1201no—
683C2×C4—1201no—
684C2×C4—1201no—
685C2×C4C22×D3×D511yescharacteristic
686C8—61no—
687C8—101no—
688C8—152no—
689C8C4×D3×D512yes—
690C2×C3—202no—
691C2×C3C4×D4×D511yescharacteristic
692C2×C3#6610811yescharacteristic
693C2×C3#6611311yescharacteristic
694D3—42no—
695D3—102no—
696C5#7977811yescharacteristic, complemented, Sylow
697C22—62no—
698C22—102no—
699C22—121no—
700C22—121no—
701C22—152no—
702C22—201no—
703C22—201no—
704C22—301no—
705C22—301no—
706C22D3×D4×D511yescharacteristic
707C4—41no—
708C4—41no—
709C4—61no—
710C4—62no—
711C4—61no—
712C4—101no—
713C4—102no—
714C4—101no—
715C4—152no—
716C4—601no—
717C4—601no—
718C4C2×C4×D3×D511yescharacteristic
719C4#9203411yescharacteristic
720C3#1061150911yescharacteristic, complemented, Sylow
721C2—122no—
722C2—202no—
723C2—302no—
724C2#1175384011yescharacteristic
725C2#1175405911yescharacteristic
726C2#1175411111yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#107C22
socleC22×C3×C5C22×D4
prime radicalC2×#91276C2
cosocleC2×C3×C4×C5C24
hypercenter#107D3×D5
hypocenterC3×C5#2951
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #107

Complements

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

NH ≅ G/Ntype
2. #11753407C2semidirect
3. #11753401C2semidirect
4. D15×#107C2semidirect
5. C5×#4889C2semidirect
6. C3×#65178C2semidirect
7. #11747795C2semidirect
8. #11747769C2semidirect
9. #11747668C2semidirect
10. #11747509C2semidirect
11. #11747507C2semidirect
12. #11747266C2semidirect
13. #11747263C2semidirect
14. #11747219C2semidirect
15. #11747216C2semidirect
44. #91276C4semidirect
69. #65178D3semidirect
93. #6768C2×C4semidirect
95. #6766C2×C4semidirect
104. C8×D15C2×C4semidirect
110. C5×#204C2×C4semidirect
116. C3×#677C2×C4semidirect
127. #6661C2×C4semidirect
128. #6652C2×C4semidirect
137. #4889D5semidirect
323. #677C4×D3semidirect
414. #204C4×D5semidirect
621. C3×C5#2951semidirect
696. C5#79778semidirect
720. C3#10611509semidirect

Maximal subgroups

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

subgroupindex
C2×#912762
#117534072
#117534012
D15×#1072
C5×#48892
C3×#651782
#117477952
#117477692
#117476682
#117475092
#117475072
#117472662
#117472632
#117472192
#117472162
#106115093
#797785