Finite Group Databasebeta

← #14425298

Subgroups — #14425298

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
2C3×C5×#575C211yesmaximal, characteristic, complemented
3#11756589C211yesmaximal, characteristic, complemented
4#11756581C211yesmaximal, characteristic, complemented
5#11751337C211yesmaximal, characteristic, complemented
6#11751303C214yesmaximal, complemented
7#11751299C214yesmaximal, complemented
8#11751240C211yesmaximal, characteristic, complemented
9C2×#91107C211yesmaximal, characteristic, complemented
10#10615736—31nomaximal, Hall
11C2×C3×C5×#41C2211yescharacteristic
12C2×C3×C5×#41C2211yescharacteristic, complemented
13#92100—22no—
14#92100—22no—
15#92100—22no—
16#92100C2214yes—
17C2×#6821—21no—
18C2×D4×D15—22no—
19C2×D4×D15—21no—
20C2×#6817—21no—
21C2×#6817C2211yescharacteristic
22C22×D60—21no—
23C22×D60C2211yescharacteristic
24C3×C5×#137—21no—
25C3×C5×#137C2212yescomplemented
26C3×C5×AGL(1,ℤ/8)—21no—
27C3×C5×AGL(1,ℤ/8)C2212yescomplemented
28C3×C5×#135—22no—
29C2×C3×C5×M16C2211yescharacteristic, complemented
30#91840—21no—
31#91839—22no—
32#91838—21no—
33#91836C2212yescomplemented
34#91831C2212yescomplemented
35#91829C2212yescomplemented
36#91826—22no—
37#91821C2212yescomplemented
38#91819—22no—
39#91815C2211yescharacteristic, complemented
40C2×#6710C2211yescharacteristic, complemented
41#91121C2214yescomplemented
42#91109C2214yescomplemented
43#91107C2214yescomplemented
44#84005—51nomaximal, Hall
45C2×#4149—31no—
46C5×#575D311yescharacteristic, complemented
47#66164—31no—
48#66156—31no—
49#65525—31no—
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×#41—21no—
59C3×C5×#41—21no—
60C3×C5×#41—21no—
61C3×C5×#41—21no—
62C3×C5×#41D412yescomplemented
63C3×C5×#41C2312yes—
64C2×C3×C5×Q8D411yescharacteristic, complemented
65C2×C3×C5×Q8C2311yescharacteristic, complemented
66C2×C3×C5×D4—21no—
67C2×C3×C5×D4—21no—
68C2×C3×C5×D4D411yescharacteristic, complemented
69C2×C3×C5×D4C2311yescharacteristic, complemented
70C22×C3×C4×C5—21no—
71C22×C3×C4×C5—21no—
72C22×C3×C4×C5C2311yescharacteristic
73C2×#1220—22no—
74C2×#1220—21no—
75C2×#1220—24no—
76#6821—24no—
77#6821—24no—
78D4×D15—28no—
79D4×D15—24no—
80D4×D15—28no—
81D4×D15—24no—
82#6817—24no—
83#6817—21no—
84#6817—21no—
85#6817—24no—
86#6817D412yescomplemented
87#6817C2312yes—
88C2×D60—22no—
89C2×D60—24no—
90C2×D60—21no—
91C2×D60—21no—
92C2×D60—21no—
93C2×D60—21no—
94C2×D60—24no—
95C2×D60D412yes—
96C2×D60D411yescharacteristic, complemented
97C2×D60C2312yes—
98C2×C4×D15—22no—
99C2×C4×D15—21no—
100C2×Dic30D411yescharacteristic, complemented
101C3×C5×Q16—22no—
102C3×C5×SD16—22no—
103C3×C5×SD16—22no—
104C3×C5×D8—22no—
105C3×C5×M16—21no—
106C3×C5×M16C2312yescomplemented
107C2×C3×C5×C8—21no—
108#6719—21no—
109#6718—22no—
110#6717—22no—
111#6716—22no—
112#6715—22no—
113#6714—24no—
114C4⋊Dic15—21no—
115C4×Dic15C2312yescomplemented
116#6710—21no—
117#6710C2312yescomplemented
118C2×C3⋊#168—21no—
119C2×#1009—51no—
120C3×#575D511yescharacteristic, complemented
121#5830—51no—
122#5822—51no—
123#5236—51no—
124#5202—54no—
125#5198—54no—
126#5139—51no—
127C2×#823—51no—
128C2×C5×#41C2×D311yescharacteristic
129C2×C5×#41C2×D311yescharacteristic, complemented
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—21no—
142C5×#137C2×D312yescomplemented
143C5×AGL(1,ℤ/8)—21no—
144C5×AGL(1,ℤ/8)C2×D312yescomplemented
145C5×#135—22no—
146C2×C5×M16C2×D311yescharacteristic, complemented
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#4072—31no—
157C2×#681—31no—
158#3969—34no—
159#3957—34no—
160#3955—34no—
161#3019—151noSylow
162C23×C3×C5—21no—
163C23×C3×C5—21no—
164C23×C3×C5C2×D411yescharacteristic
165C22×D15—22no—
166C22×D15—21no—
167C22×D15—28no—
168C22×D15—22no—
169C22×D15—82no—
170C22×D15—84no—
171C22×D15C2×D414yes—
172C3×C5×Q8—21no—
173C3×C5×Q8—21no—
174C3×C5×Q8—21no—
175C3×C5×Q8C2×D412yes—
176C3×C5×D4—22no—
177C3×C5×D4—22no—
178C3×C5×D4—21no—
179C3×C5×D4—21no—
180C3×C5×D4—21no—
181C3×C5×D4—41no—
182C3×C5×D4—41no—
183C3×C5×D4C2×D412yes—
184C2×C3×C4×C5—21no—
185C2×C3×C4×C5—22no—
186C2×C3×C4×C5—22no—
187C2×C3×C4×C5—21no—
188C2×C3×C4×C5—41no—
189C2×C3×C4×C5—41no—
190C2×C3×C4×C5C2×D411yescharacteristic
191C2×C3×C4×C5C2×D411yescharacteristic
192C2×C3×C4×C5C2×D411yescharacteristic
193C2×C3×C4×C5C2×D411yescharacteristic
194C2×C3×C4×C5C2×D411yescharacteristic
195C2×C3×C4×C5C2411yescharacteristic
196#1220—28no—
197#1220—22no—
198#1220—22no—
199#1220—84no—
200C2×Dic15—21no—
201C2×Dic15—22no—
202D60—28no—
203D60—22no—
204D60—21no—
205D60—22no—
206D60—22no—
207D60—22no—
208D60C2×D412yes—
209C4×D15—28no—
210C4×D15—22no—
211C4×D15—22no—
212Dic30—21no—
213Dic30C2×D412yes—
214C3×C5×C8—22no—
215C3⋊#168—22no—
216C2×C3×#41C2×D511yescharacteristic
217C2×C3×#41C2×D511yescharacteristic, complemented
218#1009—54no—
219#1009—102no—
220#1009—102no—
221#1009—102no—
222C2×#239—101no—
223C2×D3×D4—102no—
224C2×D3×D4—101no—
225C2×#235—51no—
226C2×#235—101no—
227C22×D12—51no—
228C22×D12—101no—
229C3×#137—21no—
230C3×#137C2×D512yescomplemented
231C3×AGL(1,ℤ/8)—21no—
232C3×AGL(1,ℤ/8)C2×D512yescomplemented
233C3×#135—22no—
234C2×C3×M16C2×D511yescharacteristic, complemented
235#951—101no—
236#950—102no—
237#949—101no—
238#947—52no—
239#942—52no—
240#940—52no—
241#937—102no—
242#932—52no—
243#930—102no—
244#926—51no—
245C2×#208—51no—
246#837—54no—
247#825—54no—
248#823—54no—
249C23×D5—32no—
250C23×D5—62no—
251C5×#41—21no—
252C5×#41—21no—
253C5×#41—21no—
254C5×#41—21no—
255C5×#41—21no—
256C5×#41—21no—
257C5×#41#6712yescomplemented
258C5×#41C22×D312yes—
259C2×C5×Q8#6711yescharacteristic, complemented
260C2×C5×Q8C22×D311yescharacteristic, complemented
261C2×C5×D4—21no—
262C2×C5×D4—21no—
263C2×C5×D4#6711yescharacteristic, complemented
264C2×C5×D4C22×D311yescharacteristic, complemented
265C22×C4×C5—21no—
266C22×C4×C5—21no—
267C22×C4×C5C22×D311yescharacteristic
268C2×C22⋊D5—62no—
269C2×C22⋊D5—61no—
270C2×C22⋊D5—64no—
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—22no—
297C5×SD16—22no—
298C5×SD16—22no—
299C5×D8—22no—
300C5×M16—21no—
301C5×M16C22×D312yescomplemented
302C2×C5×C8—21no—
303C22⋊Dic5—61no—
304#689—62no—
305#688—62no—
306#687—62no—
307#686—62no—
308#685—64no—
309C4⋊Dic5—61no—
310C4×Dic5—32no—
311#681—32no—
312#681—61no—
313C2×#168—61no—
314C2×H(5,𝔽2)—151no—
315#575—151no—
316#575D1511yescharacteristic, complemented
317#535—151no—
318#455—154no—
319#453—154no—
320#421—151no—
321#421—151no—
322C2×#100—151no—
323C22×C3×C5—22no—
324C22×C3×C5—41no—
325C22×C3×C5—42no—
326C22×C3×C5—42no—
327C22×C3×C5—41no—
328C22×C3×C5#12011yescharacteristic
329C22×C3×C5#12011yescharacteristic
330C22×C3×C5C22×D411yescharacteristic
331C2×D15—24no—
332C2×D15—22no—
333C2×D15—44no—
334C2×D15—42no—
335C2×D15—44no—
336C2×D15—82no—
337C2×D15—88no—
338C3×C4×C5—22no—
339C3×C4×C5—41no—
340C3×C4×C5#12011yescharacteristic
341C3×C4×C5#12011yescharacteristic
342C3×C4×C5C22×D411yescharacteristic
343C3×C4×C5C22×D411yescharacteristic
344Dic15—22no—
345Dic15—42no—
346C23×D3—52no—
347C23×D3—102no—
348C3×#41—21no—
349C3×#41—21no—
350C3×#41—21no—
351C3×#41—21no—
352C3×#41—21no—
353C3×#41—21no—
354C3×#41C22⋊D512yescomplemented
355C3×#41C22×D512yes—
356C2×C3×Q8C22⋊D511yescharacteristic, complemented
357C2×C3×Q8C22×D511yescharacteristic, complemented
358C2×C3×D4—21no—
359C2×C3×D4—21no—
360C2×C3×D4C22⋊D511yescharacteristic, complemented
361C2×C3×D4C22×D511yescharacteristic, complemented
362C22×C3×C4—21no—
363C22×C3×C4—21no—
364C22×C3×C4C22×D511yescharacteristic
365C2×#67—102no—
366C2×#67—101no—
367C2×#67—104no—
368#239—104no—
369#239—104no—
370D3×D4—108no—
371D3×D4—108no—
372D3×D4—104no—
373D3×D4—104no—
374#235—52no—
375#235—52no—
376#235—104no—
377#235—104no—
378#235—101no—
379#235—101no—
380C2×D12—51no—
381C2×D12—52no—
382C2×D12—52no—
383C2×D12—104no—
384C2×D12—102no—
385C2×D12—104no—
386C2×D12—101no—
387C2×D12—101no—
388C2×D12—101no—
389C2×D12—101no—
390C2×C4×D3—102no—
391C2×C4×D3—101no—
392C2×Dic6—51no—
393C3×Q16—22no—
394C3×SD16—22no—
395C3×SD16—22no—
396C3×D8—22no—
397C3×M16—21no—
398C3×M16C22×D512yescomplemented
399C2×C3×C8—21no—
400#217—101no—
401#216—102no—
402#215—102no—
403#214—102no—
404#213—102no—
405(C2×D3)⋊C4—104no—
406C4⋊Dic3—101no—
407C4×Dic3—52no—
408#208—52no—
409#208—101no—
410C2×C3⋊C8—101no—
411C23×C5—21no—
412C23×C5—21no—
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—21no—
423C5×Q8—21no—
424C5×Q8C2×#6712yes—
425C5×D4—22no—
426C5×D4—22no—
427C5×D4—21no—
428C5×D4—21no—
429C5×D4—21no—
430C5×D4—41no—
431C5×D4—41no—
432C5×D4C2×#6712yes—
433C2×C4×C5—21no—
434C2×C4×C5—22no—
435C2×C4×C5—22no—
436C2×C4×C5—21no—
437C2×C4×C5—41no—
438C2×C4×C5—41no—
439C2×C4×C5D3×D411yescharacteristic
440C2×C4×C5D3×D411yescharacteristic
441C2×C4×C5D3×D411yescharacteristic
442C2×C4×C5C2×#6711yescharacteristic
443C2×C4×C5C2×#6711yescharacteristic
444C2×C4×C5C23×D311yescharacteristic
445C22⋊D5—68no—
446C22⋊D5—62no—
447C22⋊D5—62no—
448C22⋊D5—244no—
449C2×Dic5—61no—
450C2×Dic5—62no—
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—22no—
464#168—62no—
465H(5,𝔽2)—154no—
466H(5,𝔽2)—302no—
467H(5,𝔽2)—302no—
468H(5,𝔽2)—302no—
469C2×#41—151no—
470C2×#41—301no—
471C2×#41—301no—
472C2×#41C2×D1511yescharacteristic
473C2×#41C2×D1511yescharacteristic, complemented
474C22×D4—151no—
475C22×D4—301no—
476C22×D4—302no—
477C22×D4—301no—
478#137—21no—
479#137—152no—
480#137—301no—
481#137C2×D1512yescomplemented
482AGL(1,ℤ/8)—21no—
483AGL(1,ℤ/8)—152no—
484AGL(1,ℤ/8)—301no—
485AGL(1,ℤ/8)C2×D1512yescomplemented
486#135—22no—
487#135—302no—
488C2×M16—151no—
489C2×M16C2×D1511yescharacteristic, complemented
490#127—152no—
491#124—152no—
492#121—302no—
493#120—302no—
494#117—151no—
495#104—154no—
496#104—154no—
497#100—154no—
498C2×C3×C5—21no—
499C2×C3×C5—21no—
500C2×C3×C5—21no—
501C2×C3×C5—42no—
502C2×C3×C5—81no—
503C2×C3×C5C2×#12011yescharacteristic
504D15—44no—
505D15—42no—
506C23×C3—21no—
507C23×C3—21no—
508C23×C3D4×D511yescharacteristic
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×Q8—21no—
518C3×Q8—21no—
519C3×Q8C2×C22⋊D512yes—
520C3×D4—22no—
521C3×D4—22no—
522C3×D4—21no—
523C3×D4—21no—
524C3×D4—21no—
525C3×D4—41no—
526C3×D4—41no—
527C3×D4C2×C22⋊D512yes—
528C2×C3×C4—21no—
529C2×C3×C4—22no—
530C2×C3×C4—22no—
531C2×C3×C4—21no—
532C2×C3×C4—41no—
533C2×C3×C4—41no—
534C2×C3×C4D4×D511yescharacteristic
535C2×C3×C4D4×D511yescharacteristic
536C2×C3×C4D4×D511yescharacteristic
537C2×C3×C4C2×C22⋊D511yescharacteristic
538C2×C3×C4C2×C22⋊D511yescharacteristic
539C2×C3×C4C23×D511yescharacteristic
540#67—108no—
541#67—102no—
542#67—102no—
543#67—404no—
544C2×Dic3—101no—
545C2×Dic3—102no—
546D12—52no—
547D12—108no—
548D12—102no—
549D12—102no—
550D12—101no—
551D12—102no—
552D12—102no—
553C4×D3—108no—
554C4×D3—102no—
555C4×D3—102no—
556Dic6—52no—
557Dic6—101no—
558C3×C8—22no—
559C3⋊C8—102no—
560C22×C5—22no—
561C22×C5—41no—
562C22×C5—42no—
563C22×C5—42no—
564C22×C5—41no—
565C22×C5#93711yescharacteristic
566C22×C5#93711yescharacteristic
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—41no—
577C4×C5#93711yescharacteristic
578C4×C5#93711yescharacteristic
579C4×C5C2×D3×D411yescharacteristic
580C4×C5C22×#6711yescharacteristic
581Dic5—62no—
582Dic5—122no—
583C24—152no—
584C24—302no—
585#41—21no—
586#41—21no—
587#41—21no—
588#41—21no—
589#41—21no—
590#41—21no—
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#122012yescomplemented
600#41C22×D1512yes—
601C2×Q8—151no—
602C2×Q8#122011yescharacteristic, complemented
603C2×Q8C22×D1511yescharacteristic, complemented
604C2×D4—21no—
605C2×D4—21no—
606C2×D4—151no—
607C2×D4—152no—
608C2×D4—152no—
609C2×D4—304no—
610C2×D4—302no—
611C2×D4—304no—
612C2×D4—308no—
613C2×D4—308no—
614C2×D4—304no—
615C2×D4—302no—
616C2×D4—301no—
617C2×D4—304no—
618C2×D4—304no—
619C2×D4—301no—
620C2×D4—301no—
621C2×D4—301no—
622C2×D4—301no—
623C2×D4#122011yescharacteristic, complemented
624C2×D4C22×D1511yescharacteristic, complemented
625C22×C4—21no—
626C22×C4—21no—
627C22×C4—302no—
628C22×C4—301no—
629C22×C4C22×D1511yescharacteristic
630Q16—22no—
631Q16—302no—
632SD16—22no—
633SD16—22no—
634SD16—302no—
635SD16—302no—
636D8—22no—
637D8—302no—
638M16—21no—
639M16—152no—
640M16—301no—
641M16C22×D1512yescomplemented
642C2×C8—21no—
643C2×C8—301no—
644C4⋊C4—301no—
645C22⋊C4—304no—
646C22⋊C4—301no—
647C42—152no—
648C3×C5#301911yescharacteristic, complemented, Hall
649C22×C3—22no—
650C22×C3—41no—
651C22×C3—42no—
652C22×C3—42no—
653C22×C3—41no—
654C22×C3#408311yescharacteristic
655C22×C3#408311yescharacteristic
656C22×C3C2×D4×D511yescharacteristic
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—41no—
666C3×C4#408311yescharacteristic
667C3×C4#408311yescharacteristic
668C3×C4C2×D4×D511yescharacteristic
669C3×C4C22×C22⋊D511yescharacteristic
670Dic3—102no—
671Dic3—202no—
672C2×C5—21no—
673C2×C5—21no—
674C2×C5—21no—
675C2×C5—42no—
676C2×C5—81no—
677C2×C5C2×#93711yescharacteristic
678D5—124no—
679D5—122no—
680C23—21no—
681C23—21no—
682C23—154no—
683C23—308no—
684C23—301no—
685C23—302no—
686C23—302no—
687C23—1202no—
688C23—1204no—
689C23D4×D1511yescharacteristic
690Q8—21no—
691Q8—21no—
692Q8—21no—
693Q8—152no—
694Q8—301no—
695Q8C2×#122012yes—
696D4—22no—
697D4—22no—
698D4—21no—
699D4—21no—
700D4—21no—
701D4—41no—
702D4—41no—
703D4—152no—
704D4—308no—
705D4—308no—
706D4—302no—
707D4—302no—
708D4—301no—
709D4—302no—
710D4—302no—
711D4—302no—
712D4—302no—
713D4—1204no—
714D4C2×#122012yes—
715C2×C4—21no—
716C2×C4—22no—
717C2×C4—22no—
718C2×C4—21no—
719C2×C4—41no—
720C2×C4—41no—
721C2×C4—308no—
722C2×C4—301no—
723C2×C4—302no—
724C2×C4—302no—
725C2×C4—302no—
726C2×C4D4×D1511yescharacteristic
727C2×C4D4×D1511yescharacteristic
728C2×C4D4×D1511yescharacteristic
729C2×C4C2×#122011yescharacteristic
730C2×C4C2×#122011yescharacteristic
731C2×C4C23×D1511yescharacteristic
732C8—22no—
733C8—302no—
734C2×C3—21no—
735C2×C3—21no—
736C2×C3—21no—
737C2×C3—42no—
738C2×C3—81no—
739C2×C3C2×#408311yescharacteristic
740D3—204no—
741D3—202no—
742C5#8400511yescharacteristic, complemented, Sylow
743C22—22no—
744C22—41no—
745C22—42no—
746C22—42no—
747C22—41no—
748C22—302no—
749C22—304no—
750C22—604no—
751C22—604no—
752C22—602no—
753C22—1202no—
754C22—1208no—
755C22#9182611yescharacteristic
756C22#9182611yescharacteristic
757C22C2×D4×D1511yescharacteristic
758C4—22no—
759C4—41no—
760C4—302no—
761C4—602no—
762C4#9182611yescharacteristic
763C4#9182611yescharacteristic
764C4C2×D4×D1511yescharacteristic
765C4C22×#122011yescharacteristic
766C3#1061573611yescharacteristic, complemented, Sylow
767C2—21no—
768C2—21no—
769C2—21no—
770C2—42no—
771C2—81no—
772C2—604no—
773C2—602no—
774C2C2×#9182611yescharacteristic
subgroupG/H
centerC2C2×#91826
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#575C2
socleC2×C3×C5C2×#120
hypercenter#575D15
hypocenterC3×C5#3019
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C2 ◁ C22×C4 ◁ #575

Complements

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

NH ≅ G/Ntype
1. C2×#92100C2semidirect
2. C3×C5×#575C2semidirect
3. #11756589C2semidirect
4. #11756581C2semidirect
5. #11751337C2semidirect
6. #11751303C2semidirect
7. #11751299C2semidirect
8. #11751240C2semidirect
9. C2×#91107C2semidirect
12. C2×C3×C5×#41C22semidirect
25. C3×C5×#137C22semidirect
27. C3×C5×AGL(1,ℤ/8)C22semidirect
29. C2×C3×C5×M16C22semidirect
33. #91836C22semidirect
34. #91831C22semidirect
35. #91829C22semidirect
37. #91821C22semidirect
39. #91815C22semidirect
40. C2×#6710C22semidirect
41. #91121C22semidirect
42. #91109C22semidirect
43. #91107C22semidirect
46. C5×#575D3semidirect
62. C3×C5×#41D4semidirect
64. C2×C3×C5×Q8D4semidirect
65. C2×C3×C5×Q8C23semidirect
68. C2×C3×C5×D4D4semidirect
69. C2×C3×C5×D4C23semidirect
86. #6817D4semidirect
96. C2×D60D4semidirect
100. C2×Dic30D4semidirect
106. C3×C5×M16C23semidirect
115. C4×Dic15C23semidirect
117. #6710C23semidirect
120. C3×#575D5semidirect
129. C2×C5×#41C2×D3semidirect
142. C5×#137C2×D3semidirect
144. C5×AGL(1,ℤ/8)C2×D3semidirect
146. C2×C5×M16C2×D3semidirect
217. C2×C3×#41C2×D5semidirect
230. C3×#137C2×D5semidirect
232. C3×AGL(1,ℤ/8)C2×D5semidirect
234. C2×C3×M16C2×D5semidirect
257. C5×#41#67semidirect
259. C2×C5×Q8#67semidirect
260. C2×C5×Q8C22×D3semidirect
263. C2×C5×D4#67semidirect
264. C2×C5×D4C22×D3semidirect
301. C5×M16C22×D3semidirect
316. #575D15semidirect
354. C3×#41C22⋊D5semidirect
356. C2×C3×Q8C22⋊D5semidirect
357. C2×C3×Q8C22×D5semidirect
360. C2×C3×D4C22⋊D5semidirect
361. C2×C3×D4C22×D5semidirect
398. C3×M16C22×D5semidirect
473. C2×#41C2×D15semidirect
481. #137C2×D15semidirect
485. AGL(1,ℤ/8)C2×D15semidirect
489. C2×M16C2×D15semidirect
599. #41#1220semidirect
602. C2×Q8#1220semidirect
603. C2×Q8C22×D15semidirect
623. C2×D4#1220semidirect
624. C2×D4C22×D15semidirect
641. M16C22×D15semidirect
648. C3×C5#3019semidirect
742. C5#84005semidirect
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
C3×C5×#5752
#117565892
#117565812
#117513372
#117513032
#117512992
#117512402
C2×#911072
#106157363
#840055