Finite Group Databasebeta

← #14425345

Subgroups — #14425345

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×#92019C211yesmaximal, characteristic, complemented
2#11756589C211yesmaximal, characteristic, complemented
3C5×#5822C211yesmaximal, characteristic, complemented
4C3×#66156C211yesmaximal, characteristic, complemented
5#11749410C214yesmaximal, complemented
6#11749164C214yesmaximal, complemented
7#11748424C211yesmaximal, characteristic, complemented
8#11748420C211yesmaximal, characteristic, complemented
9C2×#90960C211yesmaximal, characteristic, complemented
10#10615736—31nomaximal, Hall
11C2×C3×C5×#41C2211yescharacteristic, complemented
12C22×D60C2211yescharacteristic
13C2×C5×#235C2211yescharacteristic
14C2×C3×#709C2211yescharacteristic
15C2×#6790—22no—
16#92019—22no—
17#92019—22no—
18#92019—22no—
19#92019C2214yes—
20C2×D3×D20—21no—
21C2×D5×D12—21no—
22C2×#6773—21no—
23C2×#6769—21no—
24#91836C2212yescomplemented
25#91829C2212yescomplemented
26#91826—22no—
27#91819—22no—
28#91815C2211yescharacteristic, complemented
29C5×#951—21no—
30C5×#950—22no—
31C5×#949—21no—
32C5×#942C2212yescomplemented
33C5×#932C2212yescomplemented
34C2×C5×#208C2211yescharacteristic, complemented
35C3×#4097—21no—
36C3×#4096—22no—
37C3×#4095—21no—
38C3×#4088C2212yescomplemented
39C3×#4078C2212yescomplemented
40C2×C3×#681C2211yescharacteristic, complemented
41#90978C2214yescomplemented
42#90976C2214yescomplemented
43#90960C2214yescomplemented
44#84005—51nomaximal, Hall
45C2×#4149—31no—
46C5×#575—31no—
47#66164—31no—
48#66156D311yescharacteristic, complemented
49#65525—31no—
50#65491—34no—
51#65487—34no—
52#65428—31no—
53C2×#3955—31no—
54C23×D15D412yes—
55C22×D3×D5—22no—
56C3×C5×#41—21no—
57C3×C5×#41—21no—
58C3×C5×#41—21no—
59C3×C5×#41—21no—
60C2×C3×C5×Q8C2311yescharacteristic, complemented
61C2×C3×C5×D4—21no—
62C2×C3×C5×D4C2311yescharacteristic, complemented
63C22×C3×C4×C5—21no—
64C22×C3×C4×C5C2311yescharacteristic
65C2×#1220—24no—
66C2×D60—21no—
67C2×D60—21no—
68C2×D60—21no—
69C2×D60—21no—
70C2×D60D412yes—
71C2×D60C2312yes—
72C2×C5×#67—21no—
73C5×#235—21no—
74C5×#235—21no—
75C5×#235D412yescomplemented
76C5×#235C2312yes—
77C2×C5×D12D411yescharacteristic, complemented
78C2×C4×C5×D3—21no—
79C2×C5×Dic6D411yescharacteristic, complemented
80C2×C3×C22⋊D5—21no—
81C3×#709—21no—
82C3×#709—21no—
83C3×#709D412yescomplemented
84C3×#709C2312yes—
85C2×C3×D20D411yescharacteristic, complemented
86C2×C3×C4×D5—21no—
87C2×C3×Dic10D411yescharacteristic, complemented
88#6790—28no—
89#6790—28no—
90C2×#1203—22no—
91C2×#1202—22no—
92C2×#1200—22no—
93D3×D20—24no—
94D3×D20—24no—
95D5×D12—24no—
96D5×D12—24no—
97#6773—24no—
98#6773—24no—
99#6769—24no—
100#6769—24no—
101#6719—21no—
102#6714—24no—
103C4⋊Dic15—21no—
104C4×Dic15C2312yescomplemented
105C5×#216—22no—
106C5×#215—22no—
107C5×#214—22no—
108C5×#213—22no—
109C5×#208—21no—
110C5×#208C2312yescomplemented
111C2×C5×C3⋊C8—21no—
112C3×#689—22no—
113C3×#688—22no—
114C3×#687—22no—
115C3×#686—22no—
116C3×#681—21no—
117C3×#681C2312yescomplemented
118C2×C3×#168—21no—
119C2×#1009—51no—
120C3×#575—51no—
121#5830—51no—
122#5822D511yescharacteristic, complemented
123#5236—51no—
124#5202—54no—
125#5198—54no—
126#5139—51no—
127C2×#823—51no—
128C2×C5×#41—31no—
129C2×C5×#41C2×D311yescharacteristic, complemented
130#4149—34no—
131#4149—62no—
132#4149—62no—
133#4149—62no—
134C2×#713—61no—
135C2×D4×D5—61no—
136C2×D4×D5—62no—
137C2×#709—61no—
138C2×#709C2×D311yescharacteristic
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—21no—
148#4096—22no—
149#4095—21no—
150#4093—32no—
151#4088C2×D312yescomplemented
152#4086—32no—
153#4083—62no—
154#4078C2×D312yescomplemented
155#4076—62no—
156#4072—31no—
157C2×#681C2×D311yescharacteristic, complemented
158#3969—34no—
159#3957—34no—
160#3955—34no—
161#3019—151noSylow
162C23×C3×C5—21no—
163C23×C3×C5C2×D411yescharacteristic
164C22×D15—22no—
165C22×D15—22no—
166C22×D15—82no—
167C22×D15C2×D414yes—
168C22×C5×D3—21no—
169C22×C3×D5—21no—
170C2×D3×D5—28no—
171C2×D3×D5—84no—
172C3×C5×Q8—21no—
173C3×C5×Q8—21no—
174C3×C5×D4—21no—
175C3×C5×D4—21no—
176C3×C5×D4—41no—
177C3×C5×D4—41no—
178C2×C3×C4×C5—21no—
179C2×C3×C4×C5—41no—
180C2×C3×C4×C5—41no—
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—84no—
188C2×Dic15—22no—
189D60—22no—
190D60—22no—
191D60—22no—
192D60—22no—
193C5×#67—22no—
194C5×#67—22no—
195C2×C5×Dic3—21no—
196C5×D12—21no—
197C5×D12C2×D412yes—
198C4×C5×D3—22no—
199C4×C5×D3—22no—
200C5×Dic6—21no—
201C5×Dic6C2×D412yes—
202C3×C22⋊D5—22no—
203C3×C22⋊D5—22no—
204C2×C3×Dic5—21no—
205C3×D20—21no—
206C3×D20C2×D412yes—
207C3×C4×D5—22no—
208C3×C4×D5—22no—
209C3×Dic10—21no—
210C3×Dic10C2×D412yes—
211#1203—28no—
212#1202—28no—
213#1200—28no—
214C3×#168—22no—
215C5×C3⋊C8—22no—
216C2×C3×#41—51no—
217C2×C3×#41C2×D511yescharacteristic, complemented
218#1009—54no—
219#1009—102no—
220#1009—102no—
221#1009—102no—
222C2×#239—101no—
223C2×D3×D4—101no—
224C2×D3×D4—102no—
225C2×#235—101no—
226C2×#235C2×D511yescharacteristic
227C22×D12—51no—
228C22×D12—101no—
229C3×#137—52no—
230C3×#137—101no—
231C3×AGL(1,ℤ/8)—52no—
232C3×AGL(1,ℤ/8)—101no—
233C3×#135—102no—
234C2×C3×M16—51no—
235#951—21no—
236#950—22no—
237#949—21no—
238#947—52no—
239#942C2×D512yescomplemented
240#940—52no—
241#937—102no—
242#932C2×D512yescomplemented
243#930—102no—
244#926—51no—
245C2×#208C2×D511yescharacteristic, complemented
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—32no—
256C5×#41—32no—
257C5×#41—61no—
258C5×#41—61no—
259C2×C5×Q8—31no—
260C2×C5×Q8C22×D311yescharacteristic, complemented
261C2×C5×D4—21no—
262C2×C5×D4—31no—
263C2×C5×D4—61no—
264C2×C5×D4C22×D311yescharacteristic, complemented
265C22×C4×C5—21no—
266C22×C4×C5—61no—
267C22×C4×C5C22×D311yescharacteristic
268C2×C22⋊D5—21no—
269C2×C22⋊D5—62no—
270C2×C22⋊D5—64no—
271#713—64no—
272#713—64no—
273D4×D5—64no—
274D4×D5—64no—
275D4×D5—68no—
276D4×D5—68no—
277#709—21no—
278#709—21no—
279#709—64no—
280#709—64no—
281#709#6712yescomplemented
282#709C22×D312yes—
283C2×D20—32no—
284C2×D20—32no—
285C2×D20—64no—
286C2×D20—62no—
287C2×D20—61no—
288C2×D20—61no—
289C2×D20—61no—
290C2×D20—61no—
291C2×D20—64no—
292C2×D20#6711yescharacteristic, complemented
293C2×C4×D5—21no—
294C2×C4×D5—62no—
295C2×Dic10#6711yescharacteristic, complemented
296C5×Q16—62no—
297C5×SD16—62no—
298C5×SD16—62no—
299C5×D8—62no—
300C5×M16—32no—
301C5×M16—61no—
302C2×C5×C8—61no—
303C22⋊Dic5—61no—
304#689—22no—
305#688—22no—
306#687—22no—
307#686—22no—
308#685—64no—
309C4⋊Dic5—61no—
310C4×Dic5—32no—
311#681—21no—
312#681C22×D312yescomplemented
313C2×#168—21no—
314C2×H(5,𝔽2)—151no—
315#575—31no—
316#575—51no—
317#535—151no—
318#455—154no—
319#453—154no—
320#421—151no—
321#421—151no—
322C2×#100—151no—
323C22×C3×C5—41no—
324C22×C3×C5—42no—
325C22×C3×C5—41no—
326C22×C3×C5#12011yescharacteristic
327C22×C3×C5#12011yescharacteristic
328C22×C3×C5C22×D411yescharacteristic
329C2×D15—24no—
330C2×D15—44no—
331C2×D15—44no—
332C2×D15—82no—
333C2×C5×D3—22no—
334C2×C5×D3—42no—
335C2×C3×D5—22no—
336C2×C3×D5—42no—
337D3×D5—88no—
338C3×C4×C5—41no—
339C3×C4×C5#12011yescharacteristic
340C3×C4×C5#12011yescharacteristic
341C3×C4×C5C22×D411yescharacteristic
342C3×C4×C5C22×D411yescharacteristic
343Dic15—42no—
344C3×Dic5—22no—
345C5×Dic3—22no—
346C23×D3—52no—
347C23×D3—102no—
348C3×#41—21no—
349C3×#41—21no—
350C3×#41—21no—
351C3×#41—21no—
352C3×#41—52no—
353C3×#41—52no—
354C3×#41—101no—
355C3×#41—101no—
356C2×C3×Q8—51no—
357C2×C3×Q8C22×D511yescharacteristic, complemented
358C2×C3×D4—21no—
359C2×C3×D4—51no—
360C2×C3×D4—101no—
361C2×C3×D4C22×D511yescharacteristic, complemented
362C22×C3×C4—21no—
363C22×C3×C4—101no—
364C22×C3×C4C22×D511yescharacteristic
365C2×#67—21no—
366C2×#67—102no—
367C2×#67—104no—
368#239—104no—
369#239—104no—
370D3×D4—104no—
371D3×D4—104no—
372D3×D4—108no—
373D3×D4—108no—
374#235—21no—
375#235—21no—
376#235—104no—
377#235—104no—
378#235C22⋊D512yescomplemented
379#235C22×D512yes—
380C2×D12—52no—
381C2×D12—52no—
382C2×D12—104no—
383C2×D12—102no—
384C2×D12—101no—
385C2×D12—101no—
386C2×D12—101no—
387C2×D12—101no—
388C2×D12—104no—
389C2×D12C22⋊D511yescharacteristic, complemented
390C2×C4×D3—21no—
391C2×C4×D3—102no—
392C2×Dic6C22⋊D511yescharacteristic, complemented
393C3×Q16—102no—
394C3×SD16—102no—
395C3×SD16—102no—
396C3×D8—102no—
397C3×M16—52no—
398C3×M16—101no—
399C2×C3×C8—101no—
400#217—101no—
401#216—22no—
402#215—22no—
403#214—22no—
404#213—22no—
405(C2×D3)⋊C4—104no—
406C4⋊Dic3—101no—
407C4×Dic3—52no—
408#208—21no—
409#208C22×D512yescomplemented
410C2×C3⋊C8—21no—
411C23×C5—21no—
412C23×C5—61no—
413C23×C5D3×D411yescharacteristic
414C22×D5—21no—
415C22×D5—34no—
416C22×D5—68no—
417C22×D5—62no—
418C22×D5—62no—
419C22×D5—244no—
420C22×D5—242no—
421C5×Q8—21no—
422C5×Q8—21no—
423C5×Q8—32no—
424C5×Q8—61no—
425C5×D4—21no—
426C5×D4—21no—
427C5×D4—32no—
428C5×D4—41no—
429C5×D4—41no—
430C5×D4—62no—
431C5×D4—62no—
432C5×D4—61no—
433C2×C4×C5—21no—
434C2×C4×C5—41no—
435C2×C4×C5—41no—
436C2×C4×C5—61no—
437C2×C4×C5—62no—
438C2×C4×C5—62no—
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—22no—
446C22⋊D5—22no—
447C22⋊D5—68no—
448C22⋊D5—244no—
449C2×Dic5—21no—
450C2×Dic5—62no—
451D20—21no—
452D20—68no—
453D20—62no—
454D20—62no—
455D20—62no—
456D20—62no—
457D20C2×#6712yes—
458C4×D5—22no—
459C4×D5—22no—
460C4×D5—68no—
461Dic10—21no—
462Dic10C2×#6712yes—
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—51no—
471C2×#41—301no—
472C2×#41—301no—
473C2×#41D3×D511yescharacteristic, complemented
474C22×D4—151no—
475C22×D4—301no—
476C22×D4—301no—
477C22×D4—302no—
478#137—32no—
479#137—52no—
480#137—61no—
481#137—101no—
482AGL(1,ℤ/8)—32no—
483AGL(1,ℤ/8)—52no—
484AGL(1,ℤ/8)—61no—
485AGL(1,ℤ/8)—101no—
486#135—62no—
487#135—102no—
488C2×M16—31no—
489C2×M16—51no—
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—81no—
502C2×C3×C5C2×#12011yescharacteristic
503D15—44no—
504C3×D5—42no—
505C5×D3—42no—
506C23×C3—21no—
507C23×C3—101no—
508C23×C3D4×D511yescharacteristic
509C22×D3—21no—
510C22×D3—54no—
511C22×D3—108no—
512C22×D3—102no—
513C22×D3—102no—
514C22×D3—404no—
515C22×D3—402no—
516C3×Q8—21no—
517C3×Q8—21no—
518C3×Q8—52no—
519C3×Q8—101no—
520C3×D4—21no—
521C3×D4—21no—
522C3×D4—41no—
523C3×D4—41no—
524C3×D4—52no—
525C3×D4—102no—
526C3×D4—102no—
527C3×D4—101no—
528C2×C3×C4—21no—
529C2×C3×C4—41no—
530C2×C3×C4—41no—
531C2×C3×C4—101no—
532C2×C3×C4—102no—
533C2×C3×C4—102no—
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—22no—
541#67—22no—
542#67—108no—
543#67—404no—
544C2×Dic3—21no—
545C2×Dic3—102no—
546D12—21no—
547D12—108no—
548D12—102no—
549D12—102no—
550D12—102no—
551D12—102no—
552D12C2×C22⋊D512yes—
553C4×D3—22no—
554C4×D3—22no—
555C4×D3—108no—
556Dic6—21no—
557Dic6C2×C22⋊D512yes—
558C3×C8—102no—
559C3⋊C8—22no—
560C22×C5—41no—
561C22×C5—42no—
562C22×C5—41no—
563C22×C5—62no—
564C22×C5—122no—
565C22×C5#93711yescharacteristic
566C22×C5#93711yescharacteristic
567C22×C5C2×D3×D411yescharacteristic
568C2×D5—22no—
569C2×D5—42no—
570C2×D5—64no—
571C2×D5—124no—
572C2×D5—124no—
573C2×D5—248no—
574C2×D5—242no—
575C4×C5—41no—
576C4×C5—62no—
577C4×C5#93711yescharacteristic
578C4×C5#93711yescharacteristic
579C4×C5C2×D3×D411yescharacteristic
580C4×C5C22×#6711yescharacteristic
581Dic5—22no—
582Dic5—122no—
583C24—152no—
584C24—302no—
585#41—21no—
586#41—21no—
587#41—21no—
588#41—21no—
589#41—32no—
590#41—32no—
591#41—52no—
592#41—52no—
593#41—61no—
594#41—61no—
595#41—101no—
596#41—101no—
597#41—304no—
598#41—304no—
599#41—304no—
600#41—304no—
601C2×Q8—31no—
602C2×Q8—51no—
603C2×Q8C2×D3×D511yescharacteristic, complemented
604C2×D4—21no—
605C2×D4—31no—
606C2×D4—51no—
607C2×D4—61no—
608C2×D4—101no—
609C2×D4—152no—
610C2×D4—152no—
611C2×D4—304no—
612C2×D4—304no—
613C2×D4—302no—
614C2×D4—304no—
615C2×D4—304no—
616C2×D4—302no—
617C2×D4—308no—
618C2×D4—308no—
619C2×D4—304no—
620C2×D4—301no—
621C2×D4—301no—
622C2×D4—301no—
623C2×D4—301no—
624C2×D4C2×D3×D511yescharacteristic, complemented
625C22×C4—21no—
626C22×C4—61no—
627C22×C4—101no—
628C22×C4—302no—
629C22×C4C2×D3×D511yescharacteristic
630Q16—62no—
631Q16—102no—
632SD16—62no—
633SD16—62no—
634SD16—102no—
635SD16—102no—
636D8—62no—
637D8—102no—
638M16—32no—
639M16—52no—
640M16—61no—
641M16—101no—
642C2×C8—61no—
643C2×C8—101no—
644C4⋊C4—301no—
645C22⋊C4—304no—
646C22⋊C4—301no—
647C42—152no—
648C3×C5#301911yescharacteristic, complemented, Hall
649C22×C3—41no—
650C22×C3—42no—
651C22×C3—41no—
652C22×C3—102no—
653C22×C3—202no—
654C22×C3#408311yescharacteristic
655C22×C3#408311yescharacteristic
656C22×C3C2×D4×D511yescharacteristic
657C2×D3—22no—
658C2×D3—42no—
659C2×D3—104no—
660C2×D3—204no—
661C2×D3—204no—
662C2×D3—408no—
663C2×D3—402no—
664C3×C4—41no—
665C3×C4—102no—
666C3×C4#408311yescharacteristic
667C3×C4#408311yescharacteristic
668C3×C4C2×D4×D511yescharacteristic
669C3×C4C22×C22⋊D511yescharacteristic
670Dic3—22no—
671Dic3—202no—
672C2×C5—21no—
673C2×C5—21no—
674C2×C5—21no—
675C2×C5—81no—
676C2×C5—122no—
677C2×C5C2×#93711yescharacteristic
678D5—42no—
679D5—124no—
680C23—21no—
681C23—61no—
682C23—101no—
683C23—154no—
684C23—308no—
685C23—302no—
686C23—302no—
687C23—1202no—
688C23—1204no—
689C23#679011yescharacteristic
690Q8—21no—
691Q8—21no—
692Q8—32no—
693Q8—52no—
694Q8—61no—
695Q8—101no—
696D4—21no—
697D4—21no—
698D4—32no—
699D4—41no—
700D4—41no—
701D4—52no—
702D4—62no—
703D4—62no—
704D4—61no—
705D4—102no—
706D4—102no—
707D4—101no—
708D4—308no—
709D4—308no—
710D4—302no—
711D4—302no—
712D4—302no—
713D4—302no—
714D4—1204no—
715C2×C4—21no—
716C2×C4—41no—
717C2×C4—41no—
718C2×C4—61no—
719C2×C4—62no—
720C2×C4—62no—
721C2×C4—101no—
722C2×C4—102no—
723C2×C4—102no—
724C2×C4—308no—
725C2×C4—302no—
726C2×C4D5×#6711yescharacteristic
727C2×C4D5×#6711yescharacteristic
728C2×C4D3×C22⋊D511yescharacteristic
729C2×C4D3×C22⋊D511yescharacteristic
730C2×C4#679011yescharacteristic
731C2×C4C22×D3×D511yescharacteristic
732C8—62no—
733C8—102no—
734C2×C3—21no—
735C2×C3—21no—
736C2×C3—21no—
737C2×C3—81no—
738C2×C3—202no—
739C2×C3C2×#408311yescharacteristic
740D3—42no—
741D3—204no—
742C5#8400511yescharacteristic, complemented, Sylow
743C22—41no—
744C22—42no—
745C22—41no—
746C22—62no—
747C22—102no—
748C22—122no—
749C22—202no—
750C22—304no—
751C22—604no—
752C22—604no—
753C22—1202no—
754C22—1208no—
755C22#9157711yescharacteristic
756C22#9157711yescharacteristic
757C22C2×#679011yescharacteristic
758C4—41no—
759C4—62no—
760C4—102no—
761C4—602no—
762C4#9157711yescharacteristic
763C4#9157711yescharacteristic
764C4C2×D5×#6711yescharacteristic
765C4C2×D3×C22⋊D511yescharacteristic
766C3#1061573611yescharacteristic, complemented, Sylow
767C2—21no—
768C2—21no—
769C2—21no—
770C2—81no—
771C2—122no—
772C2—202no—
773C2—604no—
774C2C2×#9157711yescharacteristic
subgroupG/H
centerC2C2×#91577
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×#92019C2semidirect
2. #11756589C2semidirect
3. C5×#5822C2semidirect
4. C3×#66156C2semidirect
5. #11749410C2semidirect
6. #11749164C2semidirect
7. #11748424C2semidirect
8. #11748420C2semidirect
9. C2×#90960C2semidirect
11. C2×C3×C5×#41C22semidirect
24. #91836C22semidirect
25. #91829C22semidirect
28. #91815C22semidirect
32. C5×#942C22semidirect
33. C5×#932C22semidirect
34. C2×C5×#208C22semidirect
38. C3×#4088C22semidirect
39. C3×#4078C22semidirect
40. C2×C3×#681C22semidirect
41. #90978C22semidirect
42. #90976C22semidirect
43. #90960C22semidirect
48. #66156D3semidirect
60. C2×C3×C5×Q8C23semidirect
62. C2×C3×C5×D4C23semidirect
75. C5×#235D4semidirect
77. C2×C5×D12D4semidirect
79. C2×C5×Dic6D4semidirect
83. C3×#709D4semidirect
85. C2×C3×D20D4semidirect
87. C2×C3×Dic10D4semidirect
104. C4×Dic15C23semidirect
110. C5×#208C23semidirect
117. C3×#681C23semidirect
122. #5822D5semidirect
129. C2×C5×#41C2×D3semidirect
151. #4088C2×D3semidirect
154. #4078C2×D3semidirect
157. C2×#681C2×D3semidirect
217. C2×C3×#41C2×D5semidirect
239. #942C2×D5semidirect
242. #932C2×D5semidirect
245. C2×#208C2×D5semidirect
260. C2×C5×Q8C22×D3semidirect
264. C2×C5×D4C22×D3semidirect
281. #709#67semidirect
292. C2×D20#67semidirect
295. C2×Dic10#67semidirect
312. #681C22×D3semidirect
357. C2×C3×Q8C22×D5semidirect
361. C2×C3×D4C22×D5semidirect
378. #235C22⋊D5semidirect
389. C2×D12C22⋊D5semidirect
392. C2×Dic6C22⋊D5semidirect
409. #208C22×D5semidirect
473. C2×#41D3×D5semidirect
603. C2×Q8C2×D3×D5semidirect
624. C2×D4C2×D3×D5semidirect
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×#920192
#117565892
C5×#58222
C3×#661562
#117494102
#117491642
#117484242
#117484202
C2×#909602
#106157363
#840055