Finite Group Databasebeta

← #14416851

Subgroups — #14416851

Order 1920.

968 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×D5×Dic3C211yesmaximal, characteristic, complemented
2C2×#91515C211yesmaximal, characteristic
3#11753403C211yesmaximal, characteristic
4#11750889C211yesmaximal, characteristic, complemented
5C5×#4789C211yesmaximal, characteristic, complemented
6C3×#65091C211yesmaximal, characteristic, complemented
7#11749265C211yesmaximal, characteristic, complemented
8#11749235C211yesmaximal, characteristic, complemented
9#11747828C211yesmaximal, characteristic, complemented
10#11747743C211yesmaximal, characteristic, complemented
11#11747606C211yesmaximal, characteristic
12#11747601C211yesmaximal, characteristic, complemented
13#11747272C211yesmaximal, characteristic, complemented
14#11747267C211yesmaximal, characteristic, complemented
15#11747189C211yesmaximal, characteristic, complemented
16#10611560—31nomaximal, Hall
17C2×C3×Q8×D5C2211yescharacteristic
18C2×#6773C2211yescharacteristic
19Q8×Dic15C2211yescharacteristic
20C2×#6717C2211yescharacteristic
21#91782C2211yescharacteristic
22C5×Q8×Dic3C2211yescharacteristic
23C2×C5×#216C2211yescharacteristic
24C5×#887C2211yescharacteristic
25C2×C3×#676C2211yescharacteristic
26C3×#4038C2211yescharacteristic
27#91515C418yescomplemented
28#91428C2211yescharacteristic
29D5×C4⋊Dic3—21no—
30D5×C4⋊Dic3C2211yescharacteristic
31#91402—21no—
32C4×#1200—21no—
33#91396—21no—
34#91395—21no—
35C4×D5×Dic3—21no—
36C4×D5×Dic3C2211yescharacteristic
37#91344C2211yescharacteristic
38#91331—21no—
39#91331C2211yescharacteristic
40Dic3×Dic10—21no—
41Dic3×Dic10C2211yescharacteristic
42C2×#6661C2211yescharacteristic
43C2×#6658C2211yescharacteristic
44C2×#6649C2211yescharacteristic
45C3×C5×#103C2211yescharacteristic
46#91105C2211yescharacteristic
47C8×Dic15C2211yescharacteristic
48#91092C2211yescharacteristic
49C5×#816C2211yescharacteristic
50C5×#815C2211yescharacteristic
51C5×#808C2211yescharacteristic
52C3×#3967C2211yescharacteristic
53C3×#3948C2211yescharacteristic
54C3×#3942C2211yescharacteristic
55#90990C2211yescharacteristic
56#90989C2211yescharacteristic
57#90973C2211yescharacteristic
58#90969C2211yescharacteristic
59#90953C2211yescharacteristic
60#90951C2211yescharacteristic
61#78946—51nomaximal, Hall
62C2×#4064—31no—
63C4×#713—31no—
64C4×Q8×D5—31no—
65C5×#441—31no—
66Q16×Dic5—31no—
67#65319—31no—
68#65315—31no—
69#65150—31no—
70#65141—31no—
71#65092—31no—
72#65091D311yescharacteristic, complemented
73#65079—31no—
74#65077—31no—
75#64999—31no—
76#64996—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×D60C2311yescharacteristic
79C2×C4×D15—21no—
80C2×C5×Dic6C2311yescharacteristic
81C3×Q8×D5—22no—
82C3×Q8×D5C2×C414yescomplemented
83C2×C3×C4×D5—21no—
84C2×C3×C4×D5C2311yescharacteristic
85C2×C3×Dic10—21no—
86C2×C3×Dic10C2311yescharacteristic
87C2×#1202—21no—
88C2×#1200—21no—
89C2×#1200—21no—
90C2×D5×Dic3—21no—
91C2×D5×Dic3D411yescharacteristic
92C2×D5×Dic3D411yescharacteristic
93#6773—22no—
94#6773C2×C414yes—
95C2×C3×C5×C8C2311yescharacteristic
96C3×C5×C4⋊C4C2311yescharacteristic
97#6717C2×C414yescomplemented
98#6714—21no—
99C4⋊Dic15—21no—
100C4⋊Dic15C2311yescharacteristic
101C4×Dic15—21no—
102C4×Dic15C2311yescharacteristic
103C2×C3⋊#168C2311yescharacteristic
104C5×#216C2×C414yescomplemented
105C5×C4⋊Dic3—21no—
106C5×C4⋊Dic3C2311yescharacteristic
107C5×Dic3⋊C4—21no—
108C4×C5×Dic3—21no—
109C4×C5×Dic3—21no—
110C4×C5×Dic3C2311yescharacteristic
111C2×C5×C3⋊C8C2311yescharacteristic
112C3×#685—21no—
113C3×C4⋊Dic5C2311yescharacteristic
114C3×C4×Dic5—21no—
115C2×C3×#168C2311yescharacteristic
116C3×#676—22no—
117Dic3⋊Dic5—21no—
118#6668—21no—
119#6668—21no—
120#6668—21no—
121#6667—21no—
122Dic3×Dic5—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5D411yescharacteristic
126Dic3×Dic5D411yescharacteristic
127#6661C2×C414yescomplemented
128#6658C2×C414yescomplemented
129#6649C2×C414yescomplemented
130C2×Q8×Dic3—51no—
131C2×#942—51no—
132#5522—51no—
133C3×#419—51no—
134#5133—51no—
135Dic3×M16—51no—
136#4995—51no—
137#4817—51no—
138#4817—51no—
139#4790—51no—
140#4790—51no—
141#4789—51no—
142#4789D511yescharacteristic, complemented
143#4788—51no—
144#4788—51no—
145C2×#713—31no—
146C2×Q8×D5C2×D311yescharacteristic
147C2×C5×Q16—31no—
148C4×C5×Q8—31no—
149C4×C5×Q8—31no—
150Q8×Dic5—31no—
151Q8×Dic5—31no—
152C2×#689—31no—
153C2×#688—31no—
154#4064—38no—
155C2×#677—31no—
156C2×#676—31no—
157C2×#676C2×D311yescharacteristic
158#4039—31no—
159#4039—61no—
160#4038—61no—
161#4038C2×D311yescharacteristic
162D5×C4⋊C4—31no—
163D5×C4⋊C4—61no—
164#4033—31no—
165#4033—61no—
166C4×D20—31no—
167C4×D20—61no—
168C42×D5—31no—
169C42×D5—61no—
170C42×D5—61no—
171C4×Dic10—31no—
172C4×Dic10—61no—
173C5×#106—31no—
174C5×#103—31no—
175C5×#103C2×D311yescharacteristic
176C5×#97—31no—
177#3967—31no—
178#3967C2×D311yescharacteristic
179#3953—31no—
180#3950—31no—
181#3948C2×D311yescharacteristic
182C8×Dic5—31no—
183C8×Dic5—31no—
184#3942C2×D311yescharacteristic
185#3941—31no—
186#3940—31no—
187#3939—31no—
188#3935—31no—
189C4×#137—151noSylow
190C22×D15—21no—
191C22×C3×D5C2×D411yescharacteristic
192C3×C5×Q8—21no—
193C3×C5×Q8C22×C412yes—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5C2411yescharacteristic
197C2×Dic15—21no—
198C2×Dic15C2×D411yescharacteristic
199C2×Dic15C2×D411yescharacteristic
200D60—21no—
201D60C22×C412yes—
202C4×D15—42no—
203C2×C5×Dic3—21no—
204C2×C5×Dic3—21no—
205C2×C5×Dic3C2×D411yescharacteristic
206C2×C5×Dic3C2×D411yescharacteristic
207C5×Dic6—21no—
208C5×Dic6C22×C412yes—
209C2×C3×Dic5—21no—
210C2×C3×Dic5—21no—
211C2×C3×Dic5C2×D411yescharacteristic
212C3×C4×D5—24no—
213C3×C4×D5C22×C412yes—
214C3×C4×D5#4112yes—
215C3×Dic10—21no—
216C3×Dic10—24no—
217C3×Dic10C22×C412yes—
218#1202—24no—
219#1200—24no—
220#1200—42no—
221D5×Dic3—22no—
222D5×Dic3—41no—
223D5×Dic3—42no—
224C3×C5×C8—21no—
225C3⋊#168C22×C412yes—
226C3×#168—21no—
227C5×C3⋊C8C22×C412yes—
228C22×C3×Q8—51no—
229C2×#235—51no—
230C2×C3×M16—51no—
231C3×#117—51no—
232Q8×Dic3—51no—
233Q8×Dic3—51no—
234Q8×Dic3—51no—
235Q8×Dic3—101no—
236Q8×Dic3—101no—
237Q8×Dic3C2×D511yescharacteristic
238C2×#216—51no—
239C2×#216C2×D511yescharacteristic
240#942—58no—
241C2×#215—51no—
242C2×#215—51no—
243C2×C4⋊Dic3—51no—
244C2×C4⋊Dic3—101no—
245C2×C4×Dic3—51no—
246C2×C4×Dic3—101no—
247C2×#208—51no—
248#893—51no—
249#893—51no—
250#887—51no—
251#887C2×D511yescharacteristic
252#67⋊C4—101no—
253#67⋊C4—101no—
254#872—101no—
255C42×D3—101no—
256C3×#103—51no—
257C3×#103—51no—
258C3×#103—51no—
259C3×#103C2×D511yescharacteristic
260#821—51no—
261#821—51no—
262#816—51no—
263#816C2×D511yescharacteristic
264#815—51no—
265#815C2×D511yescharacteristic
266C8×Dic3—51no—
267C8×Dic3—51no—
268#808—51no—
269#808C2×D511yescharacteristic
270#807—51no—
271#807—51no—
272C2×C5×Q8—31no—
273C2×C5×Q8C22×D311yescharacteristic
274#713—34no—
275#713—62no—
276Q8×D5—22no—
277Q8×D5C4×D314yescomplemented
278C2×D20—31no—
279C2×D20—61no—
280C2×C4×D5—21no—
281C2×C4×D5—31no—
282C2×C4×D5—31no—
283C2×C4×D5—61no—
284C2×C4×D5—61no—
285C2×C4×D5—61no—
286C2×C4×D5—61no—
287C2×C4×D5C22×D311yescharacteristic
288C2×Dic10—21no—
289C2×Dic10C22×D311yescharacteristic
290C5×Q16—34no—
291C2×C5×C8—31no—
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—31no—
294C5×C4⋊C4—61no—
295C5×C4⋊C4—61no—
296C5×C4⋊C4C22×D311yescharacteristic
297C42×C5—31no—
298C42×C5—61no—
299C42×C5—61no—
300#689—34no—
301#688—34no—
302#685—21no—
303#685—61no—
304#685—61no—
305C4⋊Dic5—31no—
306C4⋊Dic5—61no—
307C4⋊Dic5—61no—
308C4⋊Dic5C22×D311yescharacteristic
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—
320C2×#168—31no—
321C2×#168C22×D311yescharacteristic
322#677—34no—
323#676—22no—
324#676—34no—
325C2×#137—151no—
326C4×#41—151no—
327C2×C4×Q8—151no—
328#441—31no—
329#441—151no—
330#440—151no—
331#440—151no—
332C4×Q16—151no—
333C4×Q16—151no—
334C4×SD16—151no—
335C4×SD16—151no—
336#428—151no—
337#419—51no—
338#417—151no—
339C4×M16—151no—
340C22×C3×C5C22×D411yescharacteristic
341C2×D15—22no—
342C2×D15—41no—
343C2×D15—41no—
344C2×C3×D5—21no—
345C2×C3×D5—21no—
346C2×C3×D5C4×D412yes—
347C3×C4×C5—22no—
348C3×C4×C5—41no—
349C3×C4×C5C23×C411yescharacteristic
350C3×C4×C5C2×#4111yescharacteristic
351Dic15—21no—
352Dic15—41no—
353Dic15#13712yescomplemented
354C3×Dic5—22no—
355C3×Dic5—41no—
356C3×Dic5C4×D412yes—
357C5×Dic3—22no—
358C5×Dic3—21no—
359C5×Dic3—21no—
360C5×Dic3—41no—
361C2×C3×Q8—54no—
362C2×C3×Q8—51no—
363C2×C3×Q8—101no—
364C2×C3×Q8—102no—
365C2×C3×Q8C22×D511yescharacteristic
366C22×C3×C4—51no—
367C22×C3×C4—101no—
368C2×#67—101no—
369C22×Dic3—51no—
370C22×Dic3—51no—
371C22×Dic3—101no—
372#235—54no—
373#235—102no—
374C2×D12—51no—
375C2×C4×D3—101no—
376C2×C4×D3—101no—
377C2×C4×D3—101no—
378C2×Dic6C22×D511yescharacteristic
379C3×M16—102no—
380C2×C3×C8—51no—
381C2×C3×C8C22×D511yescharacteristic
382C3×C4⋊C4—51no—
383C3×C4⋊C4C22×D511yescharacteristic
384C3×C22⋊C4—101no—
385C3×C42—101no—
386#216—54no—
387#216C4×D514yescomplemented
388#215—54no—
389#215—54no—
390(C2×D3)⋊C4—101no—
391(C2×D3)⋊C4—101no—
392C4⋊Dic3—21no—
393C4⋊Dic3—51no—
394C4⋊Dic3—101no—
395C4⋊Dic3—101no—
396C4⋊Dic3—101no—
397C4⋊Dic3—101no—
398C4⋊Dic3C22×D511yescharacteristic
399Dic3⋊C4—21no—
400Dic3⋊C4—101no—
401C4×Dic3—21no—
402C4×Dic3—21no—
403C4×Dic3—51no—
404C4×Dic3—51no—
405C4×Dic3—51no—
406C4×Dic3—101no—
407C4×Dic3—101no—
408C4×Dic3—101no—
409C4×Dic3—101no—
410C4×Dic3C22×D511yescharacteristic
411#208—54no—
412C2×C3⋊C8—51no—
413C2×C3⋊C8C22×D511yescharacteristic
414C22×D5—61no—
415C22×D5D3×D411yescharacteristic
416C5×Q8—21no—
417C5×Q8—32no—
418C5×Q8—61no—
419C5×Q8C2×C4×D312yes—
420C2×C4×C5—21no—
421C2×C4×C5—21no—
422C2×C4×C5—31no—
423C2×C4×C5—31no—
424C2×C4×C5—61no—
425C2×C4×C5—61no—
426C2×C4×C5C23×D311yescharacteristic
427C2×Dic5—21no—
428C2×Dic5—21no—
429C2×Dic5—31no—
430C2×Dic5—31no—
431C2×Dic5—61no—
432C2×Dic5D3×D411yescharacteristic
433D20—32no—
434D20—64no—
435D20—61no—
436C4×D5—24no—
437C4×D5—62no—
438C4×D5—64no—
439C4×D5—122no—
440C4×D5—122no—
441C4×D5—121no—
442C4×D5—122no—
443C4×D5C2×C4×D312yes—
444C4×D5#23712yes—
445Dic10—21no—
446Dic10—24no—
447Dic10C2×C4×D312yes—
448C5×C8—21no—
449C5×C8—32no—
450#168—21no—
451#168—32no—
452C2×#41—151no—
453C22×Q8—51no—
454#137—158no—
455C2×Q16—31no—
456C2×Q16—151no—
457C2×SD16—151no—
458C2×SD16—151no—
459C2×M16—51no—
460C2×M16—151no—
461C4×Q8—31no—
462C4×Q8—31no—
463C4×Q8—151no—
464C4×Q8—151no—
465C4×Q8—151no—
466C4×Q8—151no—
467C4×Q8—301no—
468C4×Q8—301no—
469C4×D4—151no—
470C4×D4—151no—
471C4×D4—301no—
472C4×D4—301no—
473#117—51no—
474#117—301no—
475C2×C4⋊C4—151no—
476C2×C4⋊C4—301no—
477C2×C42—151no—
478C2×C42—301no—
479C2×C42—301no—
480#107—151no—
481#107—151no—
482#106—31no—
483#106—151no—
484#103—31no—
485#103—51no—
486#103—51no—
487#103—51no—
488#103—151no—
489#103D3×D511yescharacteristic
490#102—151no—
491#102—151no—
492#97—31no—
493#97—151no—
494C4×C8—151no—
495C4×C8—151no—
496C2×C3×C5C2×C4×D411yescharacteristic
497C2×C3×C5C2×#13711yescharacteristic
498C2×C3×C5#57511yescharacteristic
499D15—42no—
500C3×D5—22no—
501C23×C3—51no—
502C22×D3—101no—
503C3×Q8—21no—
504C3×Q8—52no—
505C3×Q8—104no—
506C3×Q8—101no—
507C3×Q8C2×C4×D512yes—
508C2×C3×C4—21no—
509C2×C3×C4—21no—
510C2×C3×C4—51no—
511C2×C3×C4—52no—
512C2×C3×C4—52no—
513C2×C3×C4—104no—
514C2×C3×C4—101no—
515C2×C3×C4—101no—
516C2×C3×C4C23×D511yescharacteristic
517#67—104no—
518C2×Dic3—21no—
519C2×Dic3—21no—
520C2×Dic3—51no—
521C2×Dic3—51no—
522C2×Dic3—102no—
523C2×Dic3—101no—
524C2×Dic3—201no—
525C2×Dic3—202no—
526C2×Dic3D4×D511yescharacteristic
527C2×Dic3D4×D511yescharacteristic
528D12—52no—
529D12—101no—
530C4×D3—104no—
531C4×D3—202no—
532C4×D3—202no—
533Dic6—21no—
534Dic6C2×C4×D512yes—
535C3×C8—21no—
536C3×C8—101no—
537C3⋊C8—52no—
538C3⋊C8C2×C4×D512yes—
539C22×C5C2×D3×D411yescharacteristic
540C2×D5—21no—
541C2×D5—21no—
542C2×D5—62no—
543C2×D5—121no—
544C2×D5—121no—
545C2×D5#67⋊C412yes—
546C4×C5—22no—
547C4×C5—41no—
548C4×C5—62no—
549C4×C5—61no—
550C4×C5—61no—
551C4×C5—121no—
552C4×C5C22×C4×D311yescharacteristic
553C4×C5C2×#23711yescharacteristic
554Dic5—22no—
555Dic5—32no—
556Dic5—41no—
557Dic5—61no—
558Dic5—121no—
559Dic5#67⋊C412yes—
560#41—154no—
561#41—302no—
562C2×Q8—31no—
563C2×Q8—54no—
564C2×Q8—51no—
565C2×Q8—101no—
566C2×Q8—102no—
567C2×Q8C2×D3×D511yescharacteristic
568C2×D4—151no—
569C2×D4—301no—
570C22×C4—51no—
571C22×C4—101no—
572C22×C4—151no—
573C22×C4—151no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4—301no—
578Q16—34no—
579Q16—154no—
580SD16—154no—
581SD16—154no—
582M16—102no—
583M16—154no—
584C2×C8—31no—
585C2×C8—51no—
586C2×C8—151no—
587C2×C8C2×D3×D511yescharacteristic
588C4⋊C4—31no—
589C4⋊C4—51no—
590C4⋊C4—61no—
591C4⋊C4—61no—
592C4⋊C4—151no—
593C4⋊C4—301no—
594C4⋊C4—301no—
595C4⋊C4—301no—
596C4⋊C4—301no—
597C4⋊C4—301no—
598C4⋊C4C2×D3×D511yescharacteristic
599C22⋊C4—101no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C42—31no—
603C42—61no—
604C42—61no—
605C42—101no—
606C42—151no—
607C42—151no—
608C42—151no—
609C42—301no—
610C42—301no—
611C42—301no—
612C42—301no—
613C3×C5C4×#13711yescharacteristic, complemented, Hall
614C22×C3—52no—
615C22×C3—101no—
616C22×C3—101no—
617C22×C3C2×D4×D511yescharacteristic
618C2×D3—102no—
619C2×D3—201no—
620C2×D3—201no—
621C3×C4—22no—
622C3×C4—41no—
623C3×C4—52no—
624C3×C4—102no—
625C3×C4—201no—
626C3×C4C22×C4×D511yescharacteristic
627C3×C4D5×#4111yescharacteristic
628Dic3—21no—
629Dic3—21no—
630Dic3—22no—
631Dic3—41no—
632Dic3—52no—
633Dic3—101no—
634Dic3—201no—
635C2×C5C2×#67⋊C411yescharacteristic
636C2×C5D3×#13711yescharacteristic
637C2×C5#577711yescharacteristic
638D5—22no—
639D5—122no—
640C23—51no—
641C23—301no—
642Q8—21no—
643Q8—32no—
644Q8—52no—
645Q8—61no—
646Q8—104no—
647Q8—101no—
648Q8C4×D3×D512yes—
649D4—152no—
650D4—304no—
651D4—301no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—31no—
655C2×C4—31no—
656C2×C4—51no—
657C2×C4—52no—
658C2×C4—52no—
659C2×C4—61no—
660C2×C4—61no—
661C2×C4—104no—
662C2×C4—101no—
663C2×C4—101no—
664C2×C4—151no—
665C2×C4—151no—
666C2×C4—304no—
667C2×C4—302no—
668C2×C4—301no—
669C2×C4—602no—
670C2×C4—602no—
671C2×C4—601no—
672C2×C4—602no—
673C2×C4C22×D3×D511yescharacteristic
674C8—21no—
675C8—32no—
676C8—101no—
677C8—152no—
678C2×C3—102no—
679C2×C3C4×D4×D511yescharacteristic
680C2×C3D5×#13711yescharacteristic
681C2×C3#6611111yescharacteristic
682D3—202no—
683C5#7894611yescharacteristic, complemented, Sylow
684C22—52no—
685C22—101no—
686C22—101no—
687C22—302no—
688C22—601no—
689C22—601no—
690C22D3×D4×D511yescharacteristic
691C4—22no—
692C4—41no—
693C4—52no—
694C4—61no—
695C4—61no—
696C4—62no—
697C4—102no—
698C4—121no—
699C4—152no—
700C4—201no—
701C4—301no—
702C4—601no—
703C4C2×C4×D3×D511yescharacteristic
704C4D5×#23711yescharacteristic
705C3#1061156011yescharacteristic, complemented, Sylow
706C2—102no—
707C2—602no—
708C2D5×#67⋊C411yescharacteristic
709C2#1175407011yescharacteristic
710C2#1175410111yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#103C22
socleC22×C3×C5C22×D4
prime radicalC2×#6773C22
cosocleC2×C3×C4×C5C24
hypercenter#103D3×D5
hypocenterC3×C5C4×#137
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
1. Q8×D5×Dic3C2semidirect
4. #11750889C2semidirect
5. C5×#4789C2semidirect
6. C3×#65091C2semidirect
7. #11749265C2semidirect
8. #11749235C2semidirect
9. #11747828C2semidirect
10. #11747743C2semidirect
12. #11747601C2semidirect
13. #11747272C2semidirect
14. #11747267C2semidirect
15. #11747189C2semidirect
27. #91515C4semidirect
72. #65091D3semidirect
82. C3×Q8×D5C2×C4semidirect
97. #6717C2×C4semidirect
104. C5×#216C2×C4semidirect
127. #6661C2×C4semidirect
128. #6658C2×C4semidirect
129. #6649C2×C4semidirect
142. #4789D5semidirect
277. Q8×D5C4×D3semidirect
353. Dic15#137semidirect
387. #216C4×D5semidirect
613. C3×C5C4×#137semidirect
683. C5#78946semidirect
705. C3#10611560semidirect

Maximal subgroups

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

subgroupindex
Q8×D5×Dic32
C2×#915152
#117534032
#117508892
C5×#47892
C3×#650912
#117492652
#117492352
#117478282
#117477432
#117476062
#117476012
#117472722
#117472672
#117471892
#106115603
#789465