Finite Group Databasebeta

← #14416849

Subgroups — #14416849

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
1D3×Q8×Dic5C211yesmaximal, characteristic, complemented
2C2×#91520C211yesmaximal, characteristic
3#11753408C211yesmaximal, characteristic
4#11750889C211yesmaximal, characteristic, complemented
5C5×#4802C211yesmaximal, characteristic, complemented
6C3×#65078C211yesmaximal, characteristic, complemented
7#11749263C211yesmaximal, characteristic, complemented
8#11749225C211yesmaximal, characteristic, complemented
9#11747828C211yesmaximal, characteristic, complemented
10#11747748C211yesmaximal, characteristic, complemented
11#11747608C211yesmaximal, characteristic
12#11747602C211yesmaximal, characteristic, complemented
13#11747279C211yesmaximal, characteristic, complemented
14#11747262C211yesmaximal, characteristic, complemented
15#11747191C211yesmaximal, characteristic, complemented
16#10610677—31nomaximal, Hall
17C2×C5×D3×Q8C2211yescharacteristic
18C2×#6769C2211yescharacteristic
19Q8×Dic15C2211yescharacteristic
20C2×#6717C2211yescharacteristic
21#91782C2211yescharacteristic
22C2×C5×ΓL(1,𝔽25)C2211yescharacteristic
23C5×#892C2211yescharacteristic
24C3×Q8×Dic5C2211yescharacteristic
25C2×C3×#689C2211yescharacteristic
26C3×#4033C2211yescharacteristic
27#91520C418yescomplemented
28D3×C4⋊Dic5—21no—
29D3×C4⋊Dic5C2211yescharacteristic
30#91418C2211yescharacteristic
31#91406—21no—
32#91405—21no—
33#91403—21no—
34C4×#1200—21no—
35C4×D3×Dic5—21no—
36C4×D3×Dic5C2211yescharacteristic
37#91344—21no—
38#91344C2211yescharacteristic
39Dic5×Dic6—21no—
40Dic5×Dic6C2211yescharacteristic
41#91331C2211yescharacteristic
42C2×#6661C2211yescharacteristic
43C2×#6660C2211yescharacteristic
44C2×#6650C2211yescharacteristic
45C3×C5×#103C2211yescharacteristic
46#91105C2211yescharacteristic
47C8×Dic15C2211yescharacteristic
48#91092C2211yescharacteristic
49C5×#835C2211yescharacteristic
50C5×#816C2211yescharacteristic
51C5×#810C2211yescharacteristic
52C3×#3948C2211yescharacteristic
53C3×#3947C2211yescharacteristic
54C3×#3940C2211yescharacteristic
55#90989C2211yescharacteristic
56#90988C2211yescharacteristic
57#90971C2211yescharacteristic
58#90968C2211yescharacteristic
59#90952C2211yescharacteristic
60#90951C2211yescharacteristic
61#79829—51nomaximal, Hall
62C2×Q8×Dic5—31no—
63C2×#4088—31no—
64#65856—31no—
65C5×#419—31no—
66#65422—31no—
67M16×Dic5—31no—
68#65284—31no—
69#65106—31no—
70#65106—31no—
71#65079—31no—
72#65079—31no—
73#65078—31no—
74#65078D311yescharacteristic, complemented
75#65077—31no—
76#65077—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×D60C2311yescharacteristic
79C2×C4×D15—21no—
80C5×D3×Q8—22no—
81C5×D3×Q8C2×C414yescomplemented
82C2×C4×C5×D3—21no—
83C2×C4×C5×D3C2311yescharacteristic
84C2×C5×Dic6—21no—
85C2×C5×Dic6C2311yescharacteristic
86C2×C3×Dic10C2311yescharacteristic
87C2×#1203—21no—
88C2×#1200—21no—
89C2×#1200—21no—
90C2×D3×Dic5—21no—
91C2×D3×Dic5D411yescharacteristic
92C2×D3×Dic5D411yescharacteristic
93#6769—22no—
94#6769C2×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×(C2×D3)⋊C4—21no—
105C5×C4⋊Dic3C2311yescharacteristic
106C4×C5×Dic3—21no—
107C2×C5×C3⋊C8C2311yescharacteristic
108C5×ΓL(1,𝔽25)—22no—
109C3×#689C2×C414yescomplemented
110C3×C4⋊Dic5—21no—
111C3×C4⋊Dic5C2311yescharacteristic
112C3×#683—21no—
113C3×C4×Dic5—21no—
114C3×C4×Dic5—21no—
115C3×C4×Dic5C2311yescharacteristic
116C2×C3×#168C2311yescharacteristic
117Dic3⋊Dic5—21no—
118Dic3⋊Dic5—21no—
119Dic3⋊Dic5—21no—
120#6668—21no—
121#6667—21no—
122Dic3×Dic5—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5D411yescharacteristic
126Dic3×Dic5D411yescharacteristic
127#6661C2×C414yescomplemented
128#6660C2×C414yescomplemented
129#6650C2×C414yescomplemented
130C2×#918—51no—
131C4×#239—51no—
132C4×D3×Q8—51no—
133C3×#441—51no—
134Dic3×Q16—51no—
135#5030—51no—
136#5026—51no—
137#4861—51no—
138#4852—51no—
139#4803—51no—
140#4802D511yescharacteristic, complemented
141#4790—51no—
142#4788—51no—
143#4710—51no—
144#4707—51no—
145C22×C5×Q8—31no—
146C2×#709—31no—
147C2×C5×M16—31no—
148C5×#117—31no—
149Q8×Dic5—31no—
150Q8×Dic5—31no—
151Q8×Dic5—31no—
152Q8×Dic5—61no—
153Q8×Dic5—61no—
154Q8×Dic5C2×D311yescharacteristic
155C2×#689—31no—
156C2×#689C2×D311yescharacteristic
157#4088—38no—
158C2×#688—31no—
159C2×#688—31no—
160C2×C4⋊Dic5—31no—
161C2×C4⋊Dic5—61no—
162C2×C4×Dic5—31no—
163C2×C4×Dic5—61no—
164C2×#681—31no—
165#4039—31no—
166#4039—31no—
167#4033—31no—
168#4033C2×D311yescharacteristic
169#4027—61no—
170#4027—61no—
171#4018—61no—
172C42×D5—61no—
173C5×#103—31no—
174C5×#103—31no—
175C5×#103—31no—
176C5×#103C2×D311yescharacteristic
177#3953—31no—
178#3953—31no—
179#3948—31no—
180#3948C2×D311yescharacteristic
181#3947—31no—
182#3947C2×D311yescharacteristic
183C8×Dic5—31no—
184C8×Dic5—31no—
185#3940—31no—
186#3940C2×D311yescharacteristic
187#3939—31no—
188#3939—31no—
189C4×#137—151noSylow
190C22×D15—21no—
191C22×C5×D3C2×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
206C4×C5×D3—24no—
207C4×C5×D3C22×C412yes—
208C4×C5×D3#4112yes—
209C5×Dic6—21no—
210C5×Dic6—24no—
211C5×Dic6C22×C412yes—
212C2×C3×Dic5—21no—
213C2×C3×Dic5—21no—
214C2×C3×Dic5C2×D411yescharacteristic
215C2×C3×Dic5C2×D411yescharacteristic
216C3×Dic10—21no—
217C3×Dic10C22×C412yes—
218#1203—24no—
219#1200—24no—
220#1200—42no—
221D3×Dic5—22no—
222D3×Dic5—41no—
223D3×Dic5—42no—
224C3×C5×C8—21no—
225C3⋊#168C22×C412yes—
226C3×#168C22×C412yes—
227C5×C3⋊C8—21no—
228C2×#239—51no—
229C2×D3×Q8C2×D511yescharacteristic
230C2×C3×Q16—51no—
231C3×C4×Q8—51no—
232C3×C4×Q8—51no—
233Q8×Dic3—51no—
234Q8×Dic3—51no—
235C2×#216—51no—
236C2×#215—51no—
237#918—58no—
238C2×#204—51no—
239C2×ΓL(1,𝔽25)—51no—
240C2×ΓL(1,𝔽25)C2×D511yescharacteristic
241#893—51no—
242#893—101no—
243#892—101no—
244#892C2×D511yescharacteristic
245D3×C4⋊C4—51no—
246D3×C4⋊C4—101no—
247#887—51no—
248#887—101no—
249C4×D12—51no—
250C4×D12—101no—
251C42×D3—51no—
252C42×D3—101no—
253C42×D3—101no—
254C4×Dic6—51no—
255C4×Dic6—101no—
256C3×#106—51no—
257C3×#103—51no—
258C3×#103C2×D511yescharacteristic
259C3×#97—51no—
260#835—51no—
261#835C2×D511yescharacteristic
262#821—51no—
263#818—51no—
264#816C2×D511yescharacteristic
265C8×Dic3—51no—
266C8×Dic3—51no—
267#810C2×D511yescharacteristic
268#809—51no—
269#808—51no—
270#807—51no—
271#803—51no—
272C2×C5×Q8—34no—
273C2×C5×Q8—31no—
274C2×C5×Q8—61no—
275C2×C5×Q8—62no—
276C2×C5×Q8C22×D311yescharacteristic
277C22×C4×C5—31no—
278C22×C4×C5—61no—
279C2×C22⋊D5—61no—
280C22×Dic5—31no—
281C22×Dic5—31no—
282C22×Dic5—61no—
283#709—34no—
284#709—62no—
285C2×D20—31no—
286C2×C4×D5—61no—
287C2×C4×D5—61no—
288C2×C4×D5—61no—
289C2×Dic10C22×D311yescharacteristic
290C5×M16—62no—
291C2×C5×C8—31no—
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—31no—
294C5×C4⋊C4C22×D311yescharacteristic
295C5×C22⋊C4—61no—
296C42×C5—61no—
297#689—34no—
298#689C4×D314yescomplemented
299#688—34no—
300#688—34no—
301#685—61no—
302#685—61no—
303C4⋊Dic5—21no—
304C4⋊Dic5—31no—
305C4⋊Dic5—61no—
306C4⋊Dic5—61no—
307C4⋊Dic5—61no—
308C4⋊Dic5—61no—
309C4⋊Dic5C22×D311yescharacteristic
310#683—21no—
311#683—61no—
312C4×Dic5—21no—
313C4×Dic5—21no—
314C4×Dic5—31no—
315C4×Dic5—31no—
316C4×Dic5—31no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C4×Dic5C22×D311yescharacteristic
322#681—34no—
323C2×#168—31no—
324C2×#168C22×D311yescharacteristic
325C2×#137—151no—
326C4×#41—151no—
327C2×C4×Q8—151no—
328#441—51no—
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—31no—
338#417—151no—
339C4×M16—151no—
340C22×C3×C5C22×D411yescharacteristic
341C2×D15—22no—
342C2×D15—41no—
343C2×D15—41no—
344C2×C5×D3—21no—
345C2×C5×D3—21no—
346C2×C5×D3C4×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—21no—
356C3×Dic5—21no—
357C3×Dic5—41no—
358C5×Dic3—22no—
359C5×Dic3—41no—
360C5×Dic3C4×D412yes—
361C2×C3×Q8—51no—
362C2×C3×Q8C22×D511yescharacteristic
363#239—54no—
364#239—102no—
365D3×Q8—22no—
366D3×Q8C4×D514yescomplemented
367C2×D12—51no—
368C2×D12—101no—
369C2×C4×D3—21no—
370C2×C4×D3—51no—
371C2×C4×D3—51no—
372C2×C4×D3—101no—
373C2×C4×D3—101no—
374C2×C4×D3—101no—
375C2×C4×D3—101no—
376C2×C4×D3C22×D511yescharacteristic
377C2×Dic6—21no—
378C2×Dic6C22×D511yescharacteristic
379C3×Q16—54no—
380C2×C3×C8—51no—
381C2×C3×C8C22×D511yescharacteristic
382C3×C4⋊C4—51no—
383C3×C4⋊C4—101no—
384C3×C4⋊C4—101no—
385C3×C4⋊C4C22×D511yescharacteristic
386C3×C42—51no—
387C3×C42—101no—
388C3×C42—101no—
389#216—54no—
390#215—54no—
391(C2×D3)⋊C4—21no—
392(C2×D3)⋊C4—101no—
393(C2×D3)⋊C4—101no—
394C4⋊Dic3—51no—
395C4⋊Dic3—101no—
396C4⋊Dic3—101no—
397C4⋊Dic3C22×D511yescharacteristic
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400Dic3⋊C4—101no—
401C4×Dic3—21no—
402C4×Dic3—51no—
403C4×Dic3—51no—
404C4×Dic3—51no—
405C4×Dic3—101no—
406C4×Dic3—101no—
407C4×Dic3—101no—
408C4×Dic3—101no—
409C2×C3⋊C8—51no—
410C2×C3⋊C8C22×D511yescharacteristic
411#204—54no—
412ΓL(1,𝔽25)—22no—
413ΓL(1,𝔽25)—54no—
414C23×C5—31no—
415C22×D5—61no—
416C5×Q8—21no—
417C5×Q8—32no—
418C5×Q8—64no—
419C5×Q8—61no—
420C5×Q8C2×C4×D312yes—
421C2×C4×C5—21no—
422C2×C4×C5—21no—
423C2×C4×C5—31no—
424C2×C4×C5—32no—
425C2×C4×C5—32no—
426C2×C4×C5—64no—
427C2×C4×C5—61no—
428C2×C4×C5—61no—
429C2×C4×C5C23×D311yescharacteristic
430C22⋊D5—64no—
431C2×Dic5—21no—
432C2×Dic5—21no—
433C2×Dic5—31no—
434C2×Dic5—31no—
435C2×Dic5—62no—
436C2×Dic5—61no—
437C2×Dic5—121no—
438C2×Dic5—122no—
439C2×Dic5D3×D411yescharacteristic
440C2×Dic5D3×D411yescharacteristic
441D20—32no—
442D20—61no—
443C4×D5—64no—
444C4×D5—122no—
445C4×D5—122no—
446Dic10—21no—
447Dic10C2×C4×D312yes—
448C5×C8—21no—
449C5×C8—61no—
450#168—32no—
451#168C2×C4×D312yes—
452C2×#41—151no—
453C22×Q8—31no—
454#137—158no—
455C2×Q16—51no—
456C2×Q16—151no—
457C2×SD16—151no—
458C2×SD16—151no—
459C2×M16—31no—
460C2×M16—151no—
461C4×Q8—51no—
462C4×Q8—51no—
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—31no—
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—51no—
483#106—151no—
484#103—31no—
485#103—31no—
486#103—31no—
487#103—51no—
488#103—151no—
489#103D3×D511yescharacteristic
490#102—151no—
491#102—151no—
492#97—51no—
493#97—151no—
494C4×C8—151no—
495C4×C8—151no—
496C2×C3×C5C2×C4×D411yescharacteristic
497C2×C3×C5C2×#13711yescharacteristic
498C2×C3×C5#57511yescharacteristic
499D15—42no—
500C5×D3—22no—
501C22×D3—101no—
502C22×D3D4×D511yescharacteristic
503C3×Q8—21no—
504C3×Q8—52no—
505C3×Q8—101no—
506C3×Q8C2×C4×D512yes—
507C2×C3×C4—21no—
508C2×C3×C4—21no—
509C2×C3×C4—51no—
510C2×C3×C4—51no—
511C2×C3×C4—101no—
512C2×C3×C4—101no—
513C2×C3×C4C23×D511yescharacteristic
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—51no—
517C2×Dic3—51no—
518C2×Dic3—101no—
519C2×Dic3D4×D511yescharacteristic
520D12—52no—
521D12—104no—
522D12—101no—
523C4×D3—24no—
524C4×D3—102no—
525C4×D3—104no—
526C4×D3—202no—
527C4×D3—202no—
528C4×D3—201no—
529C4×D3—202no—
530C4×D3C2×C4×D512yes—
531C4×D3#71112yes—
532Dic6—21no—
533Dic6—24no—
534Dic6C2×C4×D512yes—
535C3×C8—21no—
536C3×C8—52no—
537C3⋊C8—21no—
538C3⋊C8—52no—
539C22×C5—32no—
540C22×C5—61no—
541C22×C5—61no—
542C22×C5C2×D3×D411yescharacteristic
543C2×D5—62no—
544C2×D5—121no—
545C2×D5—121no—
546C4×C5—22no—
547C4×C5—32no—
548C4×C5—41no—
549C4×C5—62no—
550C4×C5—121no—
551C4×C5C22×C4×D311yescharacteristic
552C4×C5D3×#4111yescharacteristic
553Dic5—21no—
554Dic5—21no—
555Dic5—22no—
556Dic5—32no—
557Dic5—41no—
558Dic5—61no—
559Dic5—121no—
560#41—154no—
561#41—302no—
562C2×Q8—34no—
563C2×Q8—31no—
564C2×Q8—51no—
565C2×Q8—61no—
566C2×Q8—62no—
567C2×Q8C2×D3×D511yescharacteristic
568C2×D4—151no—
569C2×D4—301no—
570C22×C4—31no—
571C22×C4—61no—
572C22×C4—151no—
573C22×C4—151no—
574C22×C4—301no—
575C22×C4—301no—
576C22×C4—301no—
577C22×C4—301no—
578Q16—54no—
579Q16—154no—
580SD16—154no—
581SD16—154no—
582M16—62no—
583M16—154no—
584C2×C8—31no—
585C2×C8—51no—
586C2×C8—151no—
587C2×C8C2×D3×D511yescharacteristic
588C4⋊C4—31no—
589C4⋊C4—51no—
590C4⋊C4—101no—
591C4⋊C4—101no—
592C4⋊C4—151no—
593C4⋊C4—301no—
594C4⋊C4—301no—
595C4⋊C4—301no—
596C4⋊C4—301no—
597C4⋊C4—301no—
598C4⋊C4C2×D3×D511yescharacteristic
599C22⋊C4—61no—
600C22⋊C4—301no—
601C22⋊C4—301no—
602C42—51no—
603C42—61no—
604C42—101no—
605C42—101no—
606C42—151no—
607C42—151no—
608C42—151no—
609C42—301no—
610C42—301no—
611C42—301no—
612C42—301no—
613C3×C5C4×#13711yescharacteristic, complemented, Hall
614C22×C3C2×D4×D511yescharacteristic
615C2×D3—21no—
616C2×D3—21no—
617C2×D3—102no—
618C2×D3—201no—
619C2×D3—201no—
620C2×D3#402712yes—
621C3×C4—22no—
622C3×C4—41no—
623C3×C4—102no—
624C3×C4—101no—
625C3×C4—101no—
626C3×C4—201no—
627C3×C4C22×C4×D511yescharacteristic
628C3×C4C2×#71111yescharacteristic
629Dic3—22no—
630Dic3—41no—
631Dic3—52no—
632Dic3—101no—
633Dic3—201no—
634Dic3#402712yes—
635C2×C5—62no—
636C2×C5C4×D3×D411yescharacteristic
637C2×C5D3×#13711yescharacteristic
638C2×C5#577711yescharacteristic
639D5—122no—
640C23—31no—
641C23—301no—
642Q8—21no—
643Q8—32no—
644Q8—52no—
645Q8—64no—
646Q8—61no—
647Q8—101no—
648Q8C4×D3×D512yes—
649D4—152no—
650D4—304no—
651D4—301no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—31no—
655C2×C4—32no—
656C2×C4—32no—
657C2×C4—51no—
658C2×C4—51no—
659C2×C4—64no—
660C2×C4—61no—
661C2×C4—61no—
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—52no—
676C8—61no—
677C8—152no—
678C2×C3C2×#402711yescharacteristic
679C2×C3D5×#13711yescharacteristic
680C2×C3#6611111yescharacteristic
681D3—22no—
682D3—202no—
683C5#7982911yescharacteristic, complemented, Sylow
684C22—32no—
685C22—61no—
686C22—61no—
687C22—302no—
688C22—601no—
689C22—601no—
690C22D3×D4×D511yescharacteristic
691C4—22no—
692C4—32no—
693C4—41no—
694C4—62no—
695C4—101no—
696C4—101no—
697C4—102no—
698C4—121no—
699C4—152no—
700C4—201no—
701C4—301no—
702C4—601no—
703C4C2×C4×D3×D511yescharacteristic
704C4D3×#71111yescharacteristic
705C3#1061067711yescharacteristic, complemented, Sylow
706C2—62no—
707C2—602no—
708C2D3×#402711yescharacteristic
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×#6769C22
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. D3×Q8×Dic5C2semidirect
4. #11750889C2semidirect
5. C5×#4802C2semidirect
6. C3×#65078C2semidirect
7. #11749263C2semidirect
8. #11749225C2semidirect
9. #11747828C2semidirect
10. #11747748C2semidirect
12. #11747602C2semidirect
13. #11747279C2semidirect
14. #11747262C2semidirect
15. #11747191C2semidirect
27. #91520C4semidirect
74. #65078D3semidirect
81. C5×D3×Q8C2×C4semidirect
97. #6717C2×C4semidirect
109. C3×#689C2×C4semidirect
127. #6661C2×C4semidirect
128. #6660C2×C4semidirect
129. #6650C2×C4semidirect
140. #4802D5semidirect
298. #689C4×D3semidirect
353. Dic15#137semidirect
366. D3×Q8C4×D5semidirect
613. C3×C5C4×#137semidirect
683. C5#79829semidirect
705. C3#10610677semidirect

Maximal subgroups

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

subgroupindex
D3×Q8×Dic52
C2×#915202
#117534082
#117508892
C5×#48022
C3×#650782
#117492632
#117492252
#117478282
#117477482
#117476082
#117476022
#117472792
#117472622
#117471912
#106106773
#798295