Finite Group Databasebeta

← #14425348

Subgroups — #14425348

Order 1920.

1524 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#92100C211yesmaximal, characteristic, complemented
2C5×#5822C211yesmaximal, characteristic, complemented
3#11754610C211yesmaximal, characteristic, complemented
4#11754145C211yesmaximal, characteristic, complemented
5C3×#65525C211yesmaximal, characteristic, complemented
6#11749468C214yesmaximal, complemented
7#11749422C214yesmaximal, complemented
8#11748429C211yesmaximal, characteristic, complemented
9C2×#90960C211yesmaximal, characteristic, complemented
10#10615736—31nomaximal, Hall
11C2×C3×C5×#41C2211yescharacteristic
12#92100—22no—
13#92100—22no—
14#92100—22no—
15#92100C2214yes—
16C2×#6821—21no—
17C2×D4×D15—22no—
18C2×D4×D15—21no—
19C2×#6817—21no—
20C2×#6817C2211yescharacteristic
21C22×D60—21no—
22C22×D60C2211yescharacteristic
23C2×C5×#235C2211yescharacteristic, complemented
24C5×#951C2212yescomplemented
25C5×#950—22no—
26C5×#949C2212yescomplemented
27C5×#942—21no—
28C5×#932—21no—
29C2×C5×#208C2211yescharacteristic, complemented
30C3×#4072C2211yescharacteristic, complemented
31C2×C3×#681C2211yescharacteristic, complemented
32#91573—22no—
33#91460—22no—
34#91451C2212yescomplemented
35#91375C2212yescomplemented
36#91322—21no—
37#91321C2212yescomplemented
38#91305—21no—
39#91304C2212yescomplemented
40#91303—22no—
41C3×#3969C2214yescomplemented
42#90981C2214yescomplemented
43#90960C2214yescomplemented
44#78993—51nomaximal, Hall
45C2×#4149—31no—
46C5×#575—31no—
47#66164—31no—
48#66156—31no—
49#65525D311yescharacteristic, complemented
50#65491—34no—
51#65487—34no—
52#65428—31no—
53C2×#3955—31no—
54C23×D15—22no—
55C23×D15D412yes—
56C3×C5×#41—21no—
57C3×C5×#41—21no—
58C3×C5×#41D412yescomplemented
59C3×C5×#41C2312yes—
60C2×C3×C5×Q8D411yescharacteristic, complemented
61C2×C3×C5×D4—21no—
62C2×C3×C5×D4D411yescharacteristic, complemented
63C22×C3×C4×C5—21no—
64C22×C3×C4×C5C2311yescharacteristic
65C2×#1220—22no—
66C2×#1220—21no—
67#6821—24no—
68#6821—24no—
69D4×D15—28no—
70D4×D15—24no—
71D4×D15—28no—
72D4×D15—24no—
73#6817—24no—
74#6817—21no—
75#6817—21no—
76#6817—24no—
77#6817D412yescomplemented
78#6817C2312yes—
79C2×D60—22no—
80C2×D60—24no—
81C2×D60—21no—
82C2×D60—21no—
83C2×D60—21no—
84C2×D60—21no—
85C2×D60—24no—
86C2×D60D412yes—
87C2×D60D411yescharacteristic, complemented
88C2×D60C2312yes—
89C2×C4×D15—22no—
90C2×C4×D15—21no—
91C2×Dic30D411yescharacteristic, complemented
92C2×C5×#67—21no—
93C5×#235—21no—
94C5×#235—21no—
95C5×#235—21no—
96C5×#235—21no—
97C2×C5×D12C2311yescharacteristic, complemented
98C2×C4×C5×D3—21no—
99C2×C5×Dic6C2311yescharacteristic, complemented
100C2×#1203—24no—
101C5×#216—22no—
102C5×#215—22no—
103C5×#214—22no—
104C5×#213—22no—
105C5×#208—21no—
106C5×#208C2312yescomplemented
107C2×C5×C3⋊C8—21no—
108C3×C22⋊Dic5—21no—
109C3×C4⋊Dic5—21no—
110C3×C4×Dic5C2312yescomplemented
111C3×#681—21no—
112C3×#681C2312yescomplemented
113C2×C3×#168—21no—
114#6667—24no—
115#6663—22no—
116#6660—22no—
117#6659—22no—
118#6654—22no—
119C2×#1009—51no—
120#5822D511yescharacteristic, complemented
121#5748—51no—
122#5525—51no—
123C3×#421—51no—
124C2×#823—51no—
125#5005—51no—
126#4825—54no—
127#4822—54no—
128C2×C5×#41—31no—
129C2×C5×#41C2×D311yescharacteristic
130#4149—34no—
131#4149—62no—
132#4149—62no—
133#4149—62no—
134C2×#713—61no—
135C2×D4×D5—62no—
136C2×D4×D5—61no—
137C2×#709—31no—
138C2×#709—61no—
139C22×D20—31no—
140C22×D20—61no—
141C5×#137—32no—
142C5×#137—61no—
143C5×AGL(1,ℤ/8)—32no—
144C5×AGL(1,ℤ/8)—61no—
145C5×#135—62no—
146C2×C5×M16—31no—
147#4097—61no—
148#4096—62no—
149#4095—61no—
150#4093—32no—
151#4088—32no—
152#4086—32no—
153#4083—62no—
154#4078—32no—
155#4076—62no—
156#4072C2×D311yescharacteristic, complemented
157C2×#681C2×D311yescharacteristic, complemented
158#3969C2×D314yescomplemented
159#3957—34no—
160#3955—34no—
161#3019—151noSylow
162C23×C3×C5—21no—
163C23×C3×C5C2×D411yescharacteristic
164C22×D15—22no—
165C22×D15—21no—
166C22×D15—28no—
167C22×D15—22no—
168C22×D15—82no—
169C22×D15—84no—
170C22×D15C2×D414yes—
171C22×C5×D3—21no—
172C3×C5×Q8—21no—
173C3×C5×Q8C2×D412yes—
174C3×C5×D4—22no—
175C3×C5×D4—22no—
176C3×C5×D4—21no—
177C3×C5×D4C2×D412yes—
178C2×C3×C4×C5—21no—
179C2×C3×C4×C5—22no—
180C2×C3×C4×C5—22no—
181C2×C3×C4×C5C2×D411yescharacteristic
182C2×C3×C4×C5C2×D411yescharacteristic
183C2×C3×C4×C5C2×D411yescharacteristic
184C2×C3×C4×C5C2×D411yescharacteristic
185C2×C3×C4×C5C2×D411yescharacteristic
186C2×C3×C4×C5C2411yescharacteristic
187#1220—28no—
188#1220—22no—
189#1220—22no—
190C2×Dic15—21no—
191D60—28no—
192D60—22no—
193D60—21no—
194D60—22no—
195D60—22no—
196D60—22no—
197D60C2×D412yes—
198C4×D15—28no—
199C4×D15—22no—
200C4×D15—22no—
201Dic30—21no—
202Dic30C2×D412yes—
203C5×#67—41no—
204C5×#67—41no—
205C2×C5×Dic3—21no—
206C5×D12—21no—
207C5×D12—21no—
208C4×C5×D3—41no—
209C4×C5×D3—41no—
210C5×Dic6—21no—
211C5×Dic6—21no—
212C2×C3×Dic5—22no—
213#1203—84no—
214C3×#168—22no—
215C5×C3⋊C8—22no—
216C2×C3×#41C2×D511yescharacteristic
217#1009—54no—
218#1009—102no—
219#1009—102no—
220#1009—102no—
221C2×#239—101no—
222C2×D3×D4—102no—
223C2×D3×D4—101no—
224C2×#235—51no—
225C2×#235—101no—
226C2×#235C2×D511yescharacteristic, complemented
227C22×D12—51no—
228C22×D12—101no—
229C2×C3×M16—51no—
230C3×#117—51no—
231#951C2×D512yescomplemented
232#950—22no—
233#949C2×D512yescomplemented
234#942—21no—
235#932—21no—
236C2×#208C2×D511yescharacteristic, complemented
237#909—52no—
238#909—101no—
239#908—52no—
240#908—101no—
241#904—102no—
242#895—102no—
243#882—102no—
244#875—52no—
245#874—52no—
246C3×#104—54no—
247#823—54no—
248#805—54no—
249C23×D5—32no—
250C23×D5—62no—
251C5×#41—21no—
252C5×#41—21no—
253C5×#41—61no—
254C5×#41—61no—
255C5×#41—61no—
256C5×#41—61no—
257C5×#41D1212yescomplemented
258C5×#41C22×D312yes—
259C2×C5×Q8—31no—
260C2×C5×Q8D1211yescharacteristic, complemented
261C2×C5×D4—21no—
262C2×C5×D4—31no—
263C2×C5×D4—61no—
264C2×C5×D4D1211yescharacteristic, complemented
265C22×C4×C5—21no—
266C22×C4×C5—61no—
267C22×C4×C5C22×D311yescharacteristic
268C2×C22⋊D5—64no—
269C2×C22⋊D5—62no—
270C2×C22⋊D5—61no—
271#713—64no—
272#713—64no—
273D4×D5—68no—
274D4×D5—68no—
275D4×D5—64no—
276D4×D5—64no—
277#709—32no—
278#709—32no—
279#709—64no—
280#709—64no—
281#709—61no—
282#709—61no—
283C2×D20—31no—
284C2×D20—32no—
285C2×D20—32no—
286C2×D20—64no—
287C2×D20—62no—
288C2×D20—64no—
289C2×D20—61no—
290C2×D20—61no—
291C2×D20—61no—
292C2×D20—61no—
293C2×C4×D5—62no—
294C2×C4×D5—61no—
295C2×Dic10—31no—
296C5×Q16—62no—
297C5×SD16—62no—
298C5×SD16—62no—
299C5×D8—62no—
300C5×M16—32no—
301C5×M16—61no—
302C2×C5×C8—61no—
303C22⋊Dic5—21no—
304#689—62no—
305#688—62no—
306#687—62no—
307#686—62no—
308#685—64no—
309C4⋊Dic5—21no—
310C4×Dic5C22×D312yescomplemented
311#681—21no—
312#681C22×D312yescomplemented
313C2×#168—21no—
314C2×H(5,𝔽2)—151no—
315#575—31no—
316#575—151no—
317#535—151no—
318#455—154no—
319#453—154no—
320#421—51no—
321#421—151no—
322C2×#100—151no—
323C22×C3×C5—22no—
324C22×C3×C5—41no—
325C22×C3×C5—42no—
326C22×C3×C5#12011yescharacteristic
327C22×C3×C5#12011yescharacteristic
328C22×C3×C5C22×D411yescharacteristic
329C2×D15—24no—
330C2×D15—22no—
331C2×D15—44no—
332C2×D15—42no—
333C2×D15—44no—
334C2×D15—82no—
335C2×D15—88no—
336C2×C5×D3—42no—
337C2×C5×D3—41no—
338C3×C4×C5—22no—
339C3×C4×C5#12011yescharacteristic
340C3×C4×C5#12011yescharacteristic
341C3×C4×C5C22×D411yescharacteristic
342C3×C4×C5C22×D411yescharacteristic
343Dic15—22no—
344C3×Dic5—42no—
345C5×Dic3—41no—
346C23×D3—52no—
347C23×D3—102no—
348C3×#41—21no—
349C3×#41—21no—
350C3×#41C22⋊D512yescomplemented
351C3×#41C22×D512yes—
352C2×C3×Q8C22⋊D511yescharacteristic, complemented
353C2×C3×D4—21no—
354C2×C3×D4C22⋊D511yescharacteristic, complemented
355C22×C3×C4—21no—
356C22×C3×C4C22×D511yescharacteristic
357C2×#67—21no—
358C2×#67—102no—
359C2×#67—101no—
360#239—104no—
361#239—104no—
362D3×D4—108no—
363D3×D4—108no—
364D3×D4—104no—
365D3×D4—104no—
366#235—21no—
367#235—21no—
368#235—21no—
369#235—21no—
370#235—52no—
371#235—52no—
372#235—104no—
373#235—104no—
374#235—101no—
375#235—101no—
376C2×D12—51no—
377C2×D12—52no—
378C2×D12—52no—
379C2×D12—104no—
380C2×D12—102no—
381C2×D12—104no—
382C2×D12—101no—
383C2×D12—101no—
384C2×D12—101no—
385C2×D12—101no—
386C2×D12—104no—
387C2×D12C22×D511yescharacteristic, complemented
388C2×C4×D3—21no—
389C2×C4×D3—102no—
390C2×C4×D3—101no—
391C2×Dic6—51no—
392C2×Dic6C22×D511yescharacteristic, complemented
393C3×M16—52no—
394C3×M16—101no—
395C2×C3×C8—101no—
396C3×C4⋊C4—101no—
397C3×C22⋊C4—101no—
398C3×C42—52no—
399#216—22no—
400#215—22no—
401#214—22no—
402#213—22no—
403(C2×D3)⋊C4—104no—
404#208—21no—
405#208C22×D512yescomplemented
406C2×C3⋊C8—21no—
407Dic12—102no—
408D24—102no—
409#204—102no—
410#204—102no—
411C23×C5—21no—
412C23×C5—61no—
413C23×C5D3×D411yescharacteristic
414C22×D5—34no—
415C22×D5—61no—
416C22×D5—62no—
417C22×D5—68no—
418C22×D5—62no—
419C22×D5—242no—
420C22×D5—244no—
421C5×Q8—21no—
422C5×Q8—61no—
423C5×Q8—61no—
424C5×Q8C2×D1212yes—
425C5×D4—22no—
426C5×D4—22no—
427C5×D4—21no—
428C5×D4—61no—
429C5×D4—61no—
430C5×D4—121no—
431C5×D4—121no—
432C5×D4C2×D1212yes—
433C2×C4×C5—21no—
434C2×C4×C5—22no—
435C2×C4×C5—22no—
436C2×C4×C5—61no—
437C2×C4×C5—121no—
438C2×C4×C5—121no—
439C2×C4×C5C2×D1211yescharacteristic
440C2×C4×C5C2×D1211yescharacteristic
441C2×C4×C5D3×D411yescharacteristic
442C2×C4×C5D3×D411yescharacteristic
443C2×C4×C5D3×D411yescharacteristic
444C2×C4×C5C23×D311yescharacteristic
445C22⋊D5—68no—
446C22⋊D5—62no—
447C22⋊D5—62no—
448C22⋊D5—244no—
449C2×Dic5—22no—
450C2×Dic5—61no—
451D20—32no—
452D20—68no—
453D20—61no—
454D20—62no—
455D20—62no—
456D20—62no—
457D20—62no—
458C4×D5—68no—
459C4×D5—62no—
460C4×D5—62no—
461Dic10—32no—
462Dic10—61no—
463C5×C8—62no—
464#168—22no—
465H(5,𝔽2)—154no—
466H(5,𝔽2)—302no—
467H(5,𝔽2)—302no—
468H(5,𝔽2)—302no—
469C2×#41—31no—
470C2×#41—151no—
471C2×#41—301no—
472C2×#41—301no—
473C2×#41D3×D511yescharacteristic
474C22×D4—151no—
475C22×D4—301no—
476C22×D4—302no—
477C22×D4—301no—
478#137—32no—
479#137—61no—
480#137—152no—
481#137—301no—
482AGL(1,ℤ/8)—32no—
483AGL(1,ℤ/8)—61no—
484AGL(1,ℤ/8)—152no—
485AGL(1,ℤ/8)—301no—
486#135—62no—
487#135—302no—
488C2×M16—31no—
489C2×M16—51no—
490#127—152no—
491#124—152no—
492#121—302no—
493#120—302no—
494#117—51no—
495#104—54no—
496#104—154no—
497#100—154no—
498C2×C3×C5—21no—
499C2×C3×C5—21no—
500C2×C3×C5—21no—
501C2×C3×C5—42no—
502C2×C3×C5C2×#12011yescharacteristic
503D15—44no—
504D15—42no—
505C5×D3—81no—
506C23×C3—21no—
507C23×C3D4×D511yescharacteristic
508C22×D3—21no—
509C22×D3—54no—
510C22×D3—101no—
511C22×D3—102no—
512C22×D3—108no—
513C22×D3—102no—
514C22×D3—402no—
515C22×D3—404no—
516C3×Q8—21no—
517C3×Q8C2×C22⋊D512yes—
518C3×D4—22no—
519C3×D4—22no—
520C3×D4—21no—
521C3×D4C2×C22⋊D512yes—
522C2×C3×C4—21no—
523C2×C3×C4—22no—
524C2×C3×C4—22no—
525C2×C3×C4—102no—
526C2×C3×C4D4×D511yescharacteristic
527C2×C3×C4D4×D511yescharacteristic
528C2×C3×C4D4×D511yescharacteristic
529C2×C3×C4C2×C22⋊D511yescharacteristic
530C2×C3×C4C2×C22⋊D511yescharacteristic
531C2×C3×C4C23×D511yescharacteristic
532#67—41no—
533#67—41no—
534#67—108no—
535#67—102no—
536#67—102no—
537C2×Dic3—21no—
538C2×Dic3—101no—
539D12—21no—
540D12—21no—
541D12—52no—
542D12—108no—
543D12—102no—
544D12—102no—
545D12—101no—
546D12—102no—
547D12—102no—
548D12—404no—
549C4×D3—41no—
550C4×D3—41no—
551C4×D3—108no—
552C4×D3—102no—
553C4×D3—102no—
554Dic6—21no—
555Dic6—21no—
556Dic6—52no—
557Dic6—101no—
558C3×C8—102no—
559C3⋊C8—22no—
560C22×C5—22no—
561C22×C5—41no—
562C22×C5—42no—
563C22×C5—122no—
564C22×C5—121no—
565C22×C5#88211yescharacteristic
566C22×C5#88211yescharacteristic
567C22×C5C2×D3×D411yescharacteristic
568C2×D5—62no—
569C2×D5—64no—
570C2×D5—124no—
571C2×D5—122no—
572C2×D5—124no—
573C2×D5—242no—
574C2×D5—248no—
575C4×C5—22no—
576C4×C5—121no—
577C4×C5#88211yescharacteristic
578C4×C5#88211yescharacteristic
579C4×C5C22×D1211yescharacteristic
580C4×C5C2×D3×D411yescharacteristic
581Dic5—42no—
582Dic5—62no—
583C24—152no—
584C24—302no—
585#41—21no—
586#41—21no—
587#41—61no—
588#41—61no—
589#41—61no—
590#41—61no—
591#41—152no—
592#41—152no—
593#41—304no—
594#41—304no—
595#41—304no—
596#41—304no—
597#41—301no—
598#41—301no—
599#41#120312yescomplemented
600#41C2×D3×D512yes—
601C2×Q8—31no—
602C2×Q8—151no—
603C2×Q8#120311yescharacteristic, complemented
604C2×D4—21no—
605C2×D4—31no—
606C2×D4—61no—
607C2×D4—151no—
608C2×D4—152no—
609C2×D4—152no—
610C2×D4—304no—
611C2×D4—302no—
612C2×D4—304no—
613C2×D4—304no—
614C2×D4—308no—
615C2×D4—308no—
616C2×D4—304no—
617C2×D4—302no—
618C2×D4—301no—
619C2×D4—304no—
620C2×D4—301no—
621C2×D4—301no—
622C2×D4—301no—
623C2×D4—301no—
624C2×D4#120311yescharacteristic, complemented
625C22×C4—21no—
626C22×C4—61no—
627C22×C4—302no—
628C22×C4—301no—
629C22×C4C2×D3×D511yescharacteristic
630Q16—62no—
631Q16—302no—
632SD16—62no—
633SD16—62no—
634SD16—302no—
635SD16—302no—
636D8—62no—
637D8—302no—
638M16—32no—
639M16—52no—
640M16—61no—
641M16—101no—
642C2×C8—61no—
643C2×C8—101no—
644C4⋊C4—101no—
645C22⋊C4—101no—
646C22⋊C4—304no—
647C42—52no—
648C3×C5#301911yescharacteristic, complemented, Hall
649C22×C3—22no—
650C22×C3—41no—
651C22×C3—42no—
652C22×C3#408311yescharacteristic
653C22×C3#408311yescharacteristic
654C22×C3C2×D4×D511yescharacteristic
655C2×D3—42no—
656C2×D3—41no—
657C2×D3—102no—
658C2×D3—104no—
659C2×D3—204no—
660C2×D3—202no—
661C2×D3—204no—
662C2×D3—402no—
663C2×D3—408no—
664C3×C4—22no—
665C3×C4—202no—
666C3×C4#408311yescharacteristic
667C3×C4#408311yescharacteristic
668C3×C4C2×D4×D511yescharacteristic
669C3×C4C22×C22⋊D511yescharacteristic
670Dic3—41no—
671Dic3—102no—
672C2×C5—21no—
673C2×C5—21no—
674C2×C5—21no—
675C2×C5—42no—
676C2×C5—241no—
677C2×C5C2×#88211yescharacteristic
678D5—124no—
679D5—122no—
680C23—21no—
681C23—61no—
682C23—154no—
683C23—308no—
684C23—301no—
685C23—302no—
686C23—302no—
687C23—1202no—
688C23—1204no—
689C23#679011yescharacteristic
690Q8—21no—
691Q8—61no—
692Q8—61no—
693Q8—152no—
694Q8—301no—
695Q8C2×#120312yes—
696D4—22no—
697D4—22no—
698D4—21no—
699D4—61no—
700D4—61no—
701D4—121no—
702D4—121no—
703D4—152no—
704D4—308no—
705D4—308no—
706D4—302no—
707D4—302no—
708D4—302no—
709D4—302no—
710D4—301no—
711D4—302no—
712D4—302no—
713D4—1204no—
714D4C2×#120312yes—
715C2×C4—21no—
716C2×C4—22no—
717C2×C4—22no—
718C2×C4—61no—
719C2×C4—102no—
720C2×C4—121no—
721C2×C4—121no—
722C2×C4—308no—
723C2×C4—301no—
724C2×C4—302no—
725C2×C4—302no—
726C2×C4C2×#120311yescharacteristic
727C2×C4C2×#120311yescharacteristic
728C2×C4#679011yescharacteristic
729C2×C4#679011yescharacteristic
730C2×C4#679011yescharacteristic
731C2×C4C22×D3×D511yescharacteristic
732C8—62no—
733C8—102no—
734C2×C3—21no—
735C2×C3—21no—
736C2×C3—21no—
737C2×C3—42no—
738C2×C3C2×#408311yescharacteristic
739D3—81no—
740D3—204no—
741D3—202no—
742C5#7899311yescharacteristic, complemented, Sylow
743C22—22no—
744C22—41no—
745C22—42no—
746C22—122no—
747C22—121no—
748C22—302no—
749C22—304no—
750C22—604no—
751C22—604no—
752C22—602no—
753C22—1202no—
754C22—1208no—
755C22#9157311yescharacteristic
756C22#9157311yescharacteristic
757C22C2×#679011yescharacteristic
758C4—22no—
759C4—121no—
760C4—202no—
761C4—302no—
762C4#9157311yescharacteristic
763C4#9157311yescharacteristic
764C4C22×#120311yescharacteristic
765C4C2×#679011yescharacteristic
766C3#1061573611yescharacteristic, complemented, Sylow
767C2—21no—
768C2—21no—
769C2—21no—
770C2—42no—
771C2—241no—
772C2—604no—
773C2—602no—
774C2C2×#9157311yescharacteristic
subgroupG/H
centerC2C2×#91573
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC2×C3×C5C2×#120
hypercenterC2×#41D3×D5
hypocenterC3×C5#3019
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C2 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×#92100C2semidirect
2. C5×#5822C2semidirect
3. #11754610C2semidirect
4. #11754145C2semidirect
5. C3×#65525C2semidirect
6. #11749468C2semidirect
7. #11749422C2semidirect
8. #11748429C2semidirect
9. C2×#90960C2semidirect
23. C2×C5×#235C22semidirect
24. C5×#951C22semidirect
26. C5×#949C22semidirect
29. C2×C5×#208C22semidirect
30. C3×#4072C22semidirect
31. C2×C3×#681C22semidirect
34. #91451C22semidirect
35. #91375C22semidirect
37. #91321C22semidirect
39. #91304C22semidirect
41. C3×#3969C22semidirect
42. #90981C22semidirect
43. #90960C22semidirect
49. #65525D3semidirect
58. C3×C5×#41D4semidirect
60. C2×C3×C5×Q8D4semidirect
62. C2×C3×C5×D4D4semidirect
77. #6817D4semidirect
87. C2×D60D4semidirect
91. C2×Dic30D4semidirect
97. C2×C5×D12C23semidirect
99. C2×C5×Dic6C23semidirect
106. C5×#208C23semidirect
110. C3×C4×Dic5C23semidirect
112. C3×#681C23semidirect
120. #5822D5semidirect
156. #4072C2×D3semidirect
157. C2×#681C2×D3semidirect
158. #3969C2×D3semidirect
226. C2×#235C2×D5semidirect
231. #951C2×D5semidirect
233. #949C2×D5semidirect
236. C2×#208C2×D5semidirect
257. C5×#41D12semidirect
260. C2×C5×Q8D12semidirect
264. C2×C5×D4D12semidirect
310. C4×Dic5C22×D3semidirect
312. #681C22×D3semidirect
350. C3×#41C22⋊D5semidirect
352. C2×C3×Q8C22⋊D5semidirect
354. C2×C3×D4C22⋊D5semidirect
387. C2×D12C22×D5semidirect
392. C2×Dic6C22×D5semidirect
405. #208C22×D5semidirect
599. #41#1203semidirect
603. C2×Q8#1203semidirect
624. C2×D4#1203semidirect
648. C3×C5#3019semidirect
742. C5#78993semidirect
766. C3#10615736semidirect

Maximal subgroups

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

subgroupindex
C2×#921002
C5×#58222
#117546102
#117541452
C3×#655252
#117494682
#117494222
#117484292
C2×#909602
#106157363
#789935