Finite Group Databasebeta

← #13007449

Subgroups — #13007449

Order 1280.

7230 conjugacy classes of subgroups.

The subgroup lattice has 1526 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3493C211yesmaximal, characteristic, complemented
2#10618892C214yesmaximal, complemented
3#10618882C214yesmaximal, complemented
4#10618863C214yesmaximal, complemented
5#10618859C214yesmaximal, complemented
6#10618791C214yesmaximal, complemented
7#10618777C214yesmaximal, complemented
8#10618738C214yesmaximal, complemented
9#10618727C214yesmaximal, complemented
10#10618500C211yesmaximal, characteristic, complemented
11#10618484C211yesmaximal, characteristic, complemented
12#10618316C214yesmaximal, complemented
13#10618289C214yesmaximal, complemented
14#10618283C211yesmaximal, characteristic, complemented
15#10618266C211yesmaximal, characteristic, complemented
16#10618056C214yesmaximal, complemented
17D5×#529C214yesmaximal, complemented
18#10617941C212yesmaximal, complemented
19#10617919C212yesmaximal, complemented
20#10617793C212yesmaximal, complemented
21#10617787C212yesmaximal, complemented
22#10617647C211yesmaximal, characteristic, complemented
23C2×#65856C211yesmaximal, characteristic, complemented
24C2×#4149C2212yes—
25C22×#709C2211yescharacteristic
26C5×#556C2214yescomplemented
27C5×#555C2214yescomplemented
28C5×#553C2214yescomplemented
29C5×#552C2214yescomplemented
30C5×#544C2211yescharacteristic, complemented
31C5×#538C2214yescomplemented
32C5×#537C2211yescharacteristic
33C5×#529C2214yescomplemented
34C5×#525C2212yescomplemented
35C5×#520C2212yescomplemented
36C2×C5×#117C2211yescharacteristic, complemented
37#66166C2212yes—
38#41×Dic5C2212yescomplemented
39#66159C2212yescomplemented
40#66125C2212yescomplemented
41C22×C4×Dic5C2211yescharacteristic, complemented
42#66067C2214yescomplemented
43#66064C2214yescomplemented
44#66062C2214yescomplemented
45#66061C2214yescomplemented
46#66043C2218yescomplemented
47#66042C2218yescomplemented
48#66042C2218yescomplemented
49#66041C2218yescomplemented
50#66040C2218yescomplemented
51#66040C2218yescomplemented
52#66039C2218yescomplemented
53D5×#126C2218yescomplemented
54#66031C2214yescomplemented
55#66027C2218yescomplemented
56#66025C2214yescomplemented
57#66025C2214yescomplemented
58#66024C2214yescomplemented
59#66024C2214yescomplemented
60D5×#125C2214yescomplemented
61#66014C2218yescomplemented
62#66014C2214yescomplemented
63#66013C2218yescomplemented
64#66013C2218yescomplemented
65#66012C2218yescomplemented
66#66011C2218yescomplemented
67D5×#124C2214yescomplemented
68#65995C2218yescomplemented
69#65994C2218yescomplemented
70#65992C2218yescomplemented
71#65990C2218yescomplemented
72D5×#123C2218yescomplemented
73#65983C2214yescomplemented
74#65983C2214yescomplemented
75#65979C2214yescomplemented
76#65968C2214yescomplemented
77#65965C2214yescomplemented
78#65965C2214yescomplemented
79#65965C2214yescomplemented
80#65964C2214yescomplemented
81D5×C22⋊Q8C2214yescomplemented
82#65959C2214yescomplemented
83#65958C2212yescomplemented
84#65958C2212yescomplemented
85#65958C2214yescomplemented
86#65956C2212yescomplemented
87#65956C2214yescomplemented
88#65956C2212yescomplemented
89#65948C2218yescomplemented
90#65947C2218yescomplemented
91#65946C2214yescomplemented
92#65946C2214yescomplemented
93#65946C2214yescomplemented
94#65944C2218yescomplemented
95#65943C2214yescomplemented
96#65940C2218yescomplemented
97#65939C2214yes—
98D5×#121C2214yes—
99#65937C2214yescomplemented
100#65936C2214yescomplemented
101#65934C2212yescomplemented
102#65934C2212yescomplemented
103#65934C2214yescomplemented
104#65934C2214yescomplemented
105#65930C2212yescomplemented
106#65930C2212yescomplemented
107#65923C2218yescomplemented
108#65920C2214yescomplemented
109#65920C2214yescomplemented
110#65915C2218yescomplemented
111#65914C2214yescomplemented
112#65908C2214yescomplemented
113C4×#713C2214yescomplemented
114C4×Q8×D5C2214yescomplemented
115#65902C2214yescomplemented
116#65901C2214yescomplemented
117#65898C2218yescomplemented
118#65893C2214yescomplemented
119#65891C2214yescomplemented
120#65890C2218yescomplemented
121#65885C2214yescomplemented
122#65885C2214yescomplemented
123#65884C2214yescomplemented
124#65884C2214yescomplemented
125#65879C2214yescomplemented
126#65879C2218yescomplemented
127C4×D4×D5C2214yescomplemented
128C4×D4×D5C2214yescomplemented
129C4×D4×D5C2218yescomplemented
130#65876C2214yescomplemented
131#65872C2214yescomplemented
132#65872C2214yescomplemented
133#65872C2218yescomplemented
134C4×#711C2214yescomplemented
135C4×#711C2214yescomplemented
136#65867C2214yescomplemented
137#65867C2214yescomplemented
138#65866C2214yescomplemented
139#65864C2214yescomplemented
140#65863C2214yescomplemented
141#65863C2214yescomplemented
142#65863C2218yescomplemented
143#65862C2218yescomplemented
144#65861C2218yescomplemented
145#65860C2212yescomplemented
146#65856C2214yescomplemented
147#65856C2214yescomplemented
148#65856C2214yescomplemented
149#65856C2214yescomplemented
150#65856C2214yescomplemented
151#65856C2212yescomplemented
152#65855C2212yes—
153#65855C2214yescomplemented
154D5×#117C2218yescomplemented
155#65851C2212yescomplemented
156#65847C2214yescomplemented
157#65845C2214yescomplemented
158#65844C2211yescharacteristic
159#65838C2212yescomplemented
160#65838C2214yescomplemented
161C2×#4039C2211yescharacteristic
162C2×#4039C2211yescharacteristic
163C2×#4039C2214yescomplemented
164#65834C2211yescharacteristic, complemented
165C2×#4033C2211yescharacteristic, complemented
166C2×#4033C2211yescharacteristic, complemented
167#65828C2214yescomplemented
168C2×#4027C2212yescomplemented
169C2×#4027C2212yescomplemented
170#65813C2214yescomplemented
171C2×#4018C2212yescomplemented
172C2×C42×D5C2212yescomplemented
173#62781—51nomaximal, Sylow
174C2×C5×#41C2312yes—
175C23×C4×C5C2311yescharacteristic
176C22×C22⋊D5C2312yes—
177C23×Dic5C2311yescharacteristic
178C23×Dic5C2311yescharacteristic
179#4149—216no—
180C2×#713C2314yes—
181C2×Q8×D5C2314yes—
182C2×#711C2314yes—
183C2×#711C2314yes—
184C2×D4×D5C2318yes—
185C2×D4×D5C2314yes—
186C2×D4×D5C2314yes—
187C2×#709—28no—
188C2×#709C2312yes—
189C2×#709C2314yes—
190C2×#709C2314yes—
191C2×#709C2314yes—
192C22×D20C2314yes—
193C22×D20C2311yescharacteristic
194C22×C4×D5C2312yes—
195C22×C4×D5C2312yes—
196C22×C4×D5C2312yes—
197C22×C4×D5C2318yes—
198C22×Dic10C2311yescharacteristic
199C5×C4⋊Q8C2314yes—
200C5×#126C2318yes—
201C5×#126C2318yes—
202C5×#125C2314yes—
203C5×#125C2314yes—
204C5×#124C2314yes—
205C5×#124C2318yes—
206C5×#123C2314yes—
207C5×#123C2318yes—
208C5×C22⋊Q8C2312yes—
209C5×C22⋊Q8C2312yes—
210C5×C22⋊Q8C2314yes—
211C5×C22⋊Q8C2314yes—
212C5×#121C2312yes—
213C5×#121C2312yes—
214C5×#121C2314yes—
215C5×#121C2314yes—
216C5×#121C2318yes—
217C5×#120C2314yes—
218C4×C5×Q8C2314yes—
219C4×C5×Q8C2314yes—
220C4×C5×D4C2314yes—
221C4×C5×D4C2314yes—
222C4×C5×D4C2318yes—
223C4×C5×D4C2314yes—
224C4×C5×D4C2314yes—
225C5×#117C2312yes—
226C5×#117C2318yes—
227C5×#117C2314yes—
228C5×#117C2314yes—
229C5×#117C2314yes—
230C2×C5×C4⋊C4C2311yescharacteristic
231C2×C5×C4⋊C4C2311yescharacteristic
232C2×C5×C4⋊C4C2314yes—
233C2×C5×C22⋊C4C2312yes—
234C2×C42×C5C2312yes—
235#4099C2314yes—
236#4093C2314yes—
237#4093C2312yes—
238#4092C2318yes—
239#4092C2318yes—
240#4092C2314yes—
241Q8×Dic5C2314yes—
242Q8×Dic5C2312yes—
243Q8×Dic5C2312yes—
244#4090C2312yes—
245#4090C2314yes—
246#4086C2312yes—
247#4085C2314yes—
248#4085C2314yes—
249#4085C2314yes—
250#4085C2314yes—
251#4084C2318yes—
252#4084C2318yes—
253#4084C2314yes—
254#4083C2318yes—
255#4083C2318yes—
256#4083C2318yes—
257#4082C2312yes—
258#4082C2314yes—
259#4082C2314yes—
260#4081C2318yes—
261#4081C2314yes—
262#4081C2314yes—
263#4081C2318yes—
264D4×Dic5C2314yes—
265D4×Dic5C2314yes—
266D4×Dic5C2314yes—
267D4×Dic5C2312yes—
268D4×Dic5C2314yes—
269D4×Dic5C2314yes—
270D4×Dic5C2312yes—
271#4076C2314yes—
272#4076C2312yes—
273#4076C2312yes—
274#4075C2314yes—
275#4075C2318yes—
276C4×C22⋊D5C2318yes—
277C4×C22⋊D5C2318yes—
278C4×C22⋊D5C2318yes—
279C4×C22⋊D5C2318yes—
280C4×C22⋊D5C2314yes—
281C4×C22⋊D5C2314yes—
282C4×C22⋊D5C2314yes—
283C4×C22⋊D5C2314yes—
284C2×#685C2312yes—
285C2×#685C2312yes—
286C2×#685C2318yes—
287#4072C2312yes—
288#4072C2314yes—
289#4072C2318yes—
290#4070C2314yes—
291#4070C2318yes—
292#4070C2314yes—
293#4070C2314yes—
294#4070C2312yes—
295#4070C2312yes—
296C2×#683C2312yes—
297C2×#683C2312yes—
298C2×C4×Dic5C2311yescharacteristic
299C2×C4×Dic5C2312yes—
300C2×C4×Dic5C2312yes—
301C2×C4×Dic5C2311yescharacteristic
302C2×C4×Dic5C2311yescharacteristic
303C2×C4×Dic5C2311yescharacteristic
304C2×C4×Dic5C2314yes—
305C2×C4×Dic5C2312yes—
306C2×C4×Dic5C2312yes—
307C2×C4×Dic5C2312yes—
308C2×C4×Dic5C2312yes—
309#4044C2318yes—
310#4044C2318yes—
311#4044C2314yes—
312#4044C2314yes—
313#4044C2318yes—
314#4043C2314yes—
315#4043C2314yes—
316#4043C2318yes—
317#4043C2314yes—
318#4043C2314yes—
319#4042C2318yes—
320#4042C2318yes—
321#4042C2318yes—
322#4042C2318yes—
323#4041C2314yes—
324#4041C2314yes—
325#4040C2318yes—
326#4040C2318yes—
327#4040C2318yes—
328#4040C2318yes—
329#4039C2314yes—
330#4039C2314yes—
331#4039C2314yes—
332#4039C2312yes—
333#4039C2314yes—
334#4039C2314yes—
335#4039C2312yes—
336#4039C2314yes—
337#4039C2314yes—
338#4039C2318yes—
339#4039C2318yes—
340#4039C2314yes—
341#4038C2318yes—
342#4038C2314yes—
343#4038C2318yes—
344#4038C2314yes—
345#4038C2314yes—
346D5×C4⋊C4C2318yes—
347D5×C4⋊C4C2314yes—
348D5×C4⋊C4C2318yes—
349D5×C4⋊C4C2318yes—
350D5×C4⋊C4C2314yes—
351D5×C4⋊C4C2318yes—
352D5×C4⋊C4C2314yes—
353#4036C2318yes—
354#4036C2312yes—
355#4036C2314yes—
356#4036C2312yes—
357#4036C2314yes—
358#4036C2314yes—
359#4035C2318yes—
360#4035C2318yes—
361#4035C2314yes—
362#4035C2314yes—
363#4035C2318yes—
364#4034C2312yes—
365#4034C2314yes—
366#4034C2312yes—
367#4033C2312yes—
368#4033C2314yes—
369#4033C2314yes—
370#4033C2314yes—
371#4033C2314yes—
372#4033C2314yes—
373#4033C2312yes—
374#4033C2314yes—
375#4033C2314yes—
376#4033C2314yes—
377#4032C2318yes—
378#4032C2314yes—
379#4032C2314yes—
380#4031C2318yes—
381#4031C2314yes—
382#4031C2318yes—
383#4031C2314yes—
384#4030C2318yes—
385#4030C2318yes—
386#4030C2318yes—
387#4030C2318yes—
388#4029C2318yes—
389#4029C2318yes—
390#4029C2318yes—
391#4029C2318yes—
392#4029C2318yes—
393#4029C2318yes—
394#4029C2318yes—
395#4028C2318yes—
396#4027C2318yes—
397#4027C2318yes—
398#4027C2318yes—
399#4027C2318yes—
400#4027C2314yes—
401#4027C2318yes—
402#4027C2314yes—
403#4027C2318yes—
404#4027C2314yes—
405#4027C2314yes—
406#4027C2314yes—
407#4027C2314yes—
408D5×C22⋊C4C2318yes—
409D5×C22⋊C4C2318yes—
410D5×C22⋊C4C2318yes—
411D5×C22⋊C4C2318yes—
412D5×C22⋊C4C2318yes—
413D5×C22⋊C4C2318yes—
414#4025C2318yes—
415#4025C2318yes—
416#4025C2314yes—
417#4025C2318yes—
418#4025C2318yes—
419#4025C2318yes—
420#4025C2314yes—
421#4024C2314yes—
422#4024C2314yes—
423#4024C2318yes—
424#4024C2314yes—
425#4024C2314yes—
426#4023C2314yes—
427#4023C2318yes—
428#4023C2314yes—
429#4023C2314yes—
430#4023C2314yes—
431#4022C2318yes—
432#4022C2318yes—
433#4021C2314yes—
434#4021C2314yes—
435C4×D20C2314yes—
436C4×D20C2314yes—
437C4×D20C2314yes—
438C4×D20C2318yes—
439C4×D20C2318yes—
440#4018C2318yes—
441#4018C2318yes—
442#4018C2314yes—
443#4018C2318yes—
444#4018C2318yes—
445#4018C2318yes—
446C42×D5C2314yes—
447C42×D5C2314yes—
448C42×D5C2314yes—
449C42×D5C2314yes—
450C42×D5C2314yes—
451C42×D5C2318yes—
452#4016C2314yes—
453#4016C2318yes—
454#4015C2314yes—
455C4×Dic10C2314yes—
456C4×Dic10C2314yes—
457C4×Dic10C2314yes—
458C4×Dic10C2318yes—
459#3521—54no—
460#3521—54no—
461#3515—54no—
462#3514—54no—
463#3507—52no—
464#3505—54no—
465#3501—51no—
466#3496—51no—
467#3493—51no—
468#3493D511yescharacteristic, complemented
469#3491—54no—
470#3485—52no—
471#3482—54no—
472#3481—54no—
473#3475—54no—
474#3475—54no—
475#3461—51no—
476#3461—51no—
477#3459—54no—
478#3444—52no—
479C2×#529—54no—
480C4×H(5,𝔽2)—52no—
481C2×C4×#41—51no—
482C24×C5C2411yescharacteristic
483C23×D5C2418yes—
484C23×D5C2412yes—
485C5×#41—28no—
486C2×C5×Q8C2412yes—
487C2×C5×Q8C2414yes—
488C2×C5×D4C2414yes—
489C2×C5×D4C2412yes—
490C2×C5×D4C2414yes—
491C2×C5×D4C2414yes—
492C2×C5×D4C2414yes—
493C22×C4×C5—24no—
494C22×C4×C5C2411yescharacteristic
495C22×C4×C5C2414yes—
496C22×C4×C5C2412yes—
497C22×C4×C5C2412yes—
498C22×C4×C5C2412yes—
499C22×C4×C5C2412yes—
500C22×C4×C5C2418yes—
501C22×C4×C5C2411yescharacteristic
502C2×C22⋊D5—28no—
503C2×C22⋊D5C2414yes—
504C2×C22⋊D5C2418yes—
505C2×C22⋊D5C2418yes—
506C2×C22⋊D5C2414yes—
507C2×C22⋊D5C2414yes—
508C2×C22⋊D5C2414yes—
509C2×C22⋊D5C2414yes—
510C22×Dic5—42no—
511C22×Dic5—42no—
512C22×Dic5C2412yes—
513C22×Dic5C2414yes—
514C22×Dic5C2411yescharacteristic
515C22×Dic5C2411yescharacteristic
516C22×Dic5C2412yes—
517C22×Dic5C2412yes—
518C22×Dic5C2414yes—
519C22×Dic5C2411yescharacteristic
520C22×Dic5C2412yes—
521C22×Dic5C2412yes—
522C22×Dic5C2411yescharacteristic
523#713—216no—
524Q8×D5—48no—
525#711—48no—
526#711—48no—
527D4×D5—232no—
528D4×D5—216no—
529D4×D5—48no—
530#709—28no—
531#709—216no—
532#709—216no—
533#709—216no—
534C2×D20—216no—
535C2×D20#4118yescomplemented
536C2×D20C2412yes—
537C2×D20C2418yes—
538C2×D20C2414yes—
539C2×D20C2414yes—
540C2×C4×D5—28no—
541C2×C4×D5—44no—
542C2×C4×D5—416no—
543C2×C4×D5—44no—
544C2×C4×D5C2414yes—
545C2×C4×D5C2414yes—
546C2×C4×D5C2414yes—
547C2×C4×D5C2414yes—
548C2×C4×D5C2414yes—
549C2×C4×D5C2418yes—
550C2×C4×D5C2414yes—
551C2×C4×D5C2414yes—
552C2×C4×D5C2414yes—
553C2×C4×D5C2418yes—
554C2×C4×D5C2418yes—
555C2×C4×D5C2414yes—
556C2×C4×D5C2418yes—
557C2×Dic10—24no—
558C2×Dic10C2414yes—
559C2×Dic10C2412yes—
560C2×Dic10C2414yes—
561C2×Dic10C2414yes—
562C2×Dic10C2414yes—
563C5×C4⋊C4C2414yes—
564C5×C4⋊C4C2412yes—
565C5×C4⋊C4C2414yes—
566C5×C4⋊C4C2418yes—
567C5×C4⋊C4C2412yes—
568C5×C4⋊C4C2414yes—
569C5×C4⋊C4C2418yes—
570C5×C4⋊C4C2414yes—
571C5×C4⋊C4C2414yes—
572C5×C4⋊C4C2414yes—
573C5×C22⋊C4C2418yes—
574C5×C22⋊C4C2414yes—
575C5×C22⋊C4C2414yes—
576C5×C22⋊C4C2418yes—
577C5×C22⋊C4C2418yes—
578C5×C22⋊C4C2414yes—
579C5×C22⋊C4C2414yes—
580C5×C22⋊C4C2414yes—
581C42×C5C2414yes—
582C42×C5C2414yes—
583C42×C5C2418yes—
584C42×C5C2414yes—
585C22⋊Dic5C2414yes—
586C22⋊Dic5C2414yes—
587C22⋊Dic5C2414yes—
588C22⋊Dic5C2418yes—
589C22⋊Dic5C2414yes—
590C22⋊Dic5C2414yes—
591C22⋊Dic5C2414yes—
592C22⋊Dic5C2414yes—
593C22⋊Dic5C2418yes—
594#685C2418yes—
595#685C2414yes—
596#685C2414yes—
597#685C2418yes—
598#685C2418yes—
599#685C2414yes—
600#685C2418yes—
601#685C2418yes—
602#685C2414yes—
603#685C2414yes—
604#685C2418yes—
605#685C2418yes—
606#685C2418yes—
607#685C2414yes—
608C4⋊Dic5C2418yes—
609C4⋊Dic5C2414yes—
610C4⋊Dic5C2414yes—
611C4⋊Dic5C2414yes—
612C4⋊Dic5C2418yes—
613C4⋊Dic5C2414yes—
614C4⋊Dic5C2414yes—
615C4⋊Dic5C2414yes—
616C4⋊Dic5C2412yes—
617C4⋊Dic5C2412yes—
618#683C2414yes—
619#683C2414yes—
620#683C2414yes—
621#683C2414yes—
622#683C2418yes—
623#683C2414yes—
624#683C2414yes—
625#683C2414yes—
626#683C2418yes—
627#683C2414yes—
628#683C2418yes—
629#683C2418yes—
630#683C2414yes—
631#683C2418yes—
632#683C2418yes—
633#683C2414yes—
634C4×Dic5C2414yes—
635C4×Dic5C2418yes—
636C4×Dic5C2412yes—
637C4×Dic5C2412yes—
638C4×Dic5C2414yes—
639C4×Dic5C2411yescharacteristic
640C4×Dic5C2411yescharacteristic
641C4×Dic5C2411yescharacteristic
642C4×Dic5C2411yescharacteristic
643C4×Dic5C2414yes—
644C4×Dic5C2414yes—
645C4×Dic5C2414yes—
646C4×Dic5C2414yes—
647C4×Dic5C2414yes—
648C4×Dic5C2412yes—
649C4×Dic5C2414yes—
650C4×Dic5C2412yes—
651C4×Dic5C2412yes—
652C4×Dic5C2414yes—
653C4×Dic5C2412yes—
654C2×H(5,𝔽2)—52no—
655C22×#41—51no—
656#559—54no—
657#557—54no—
658#556—54no—
659#556—54no—
660#556—54no—
661#556—54no—
662#556C2×D514yescomplemented
663#555—54no—
664#555C2×D514yescomplemented
665#554—54no—
666#554—54no—
667#554—54no—
668#554—54no—
669#553—58no—
670#553—58no—
671#553—58no—
672#553—54no—
673#553C2×D514yescomplemented
674#552—58no—
675#552—58no—
676#552—58no—
677#552—58no—
678#552—58no—
679#552—54no—
680#552—54no—
681#552—54no—
682#552C2×D514yescomplemented
683#551—58no—
684#551—58no—
685#551—58no—
686#551—58no—
687#551—58no—
688#551—58no—
689D4×Q8—54no—
690#548—58no—
691#547—54no—
692#547—54no—
693#547—54no—
694#547—54no—
695#547—54no—
696#546—54no—
697#546—54no—
698#546—54no—
699#546—58no—
700#546—54no—
701#546—54no—
702#546—54no—
703D42—54no—
704#544—51no—
705#544C2×D511yescharacteristic, complemented
706#543—54no—
707#542—54no—
708#542—54no—
709#541—54no—
710#541—54no—
711#539—58no—
712#539—58no—
713#539—54no—
714#539—54no—
715#539—58no—
716#538—58no—
717#538—58no—
718#538—54no—
719#538C2×D514yescomplemented
720#537—51no—
721#537C2×D511yescharacteristic
722#536—52no—
723#536—52no—
724#534—54no—
725#534—58no—
726#533—54no—
727#533—52no—
728#533—52no—
729#533—54no—
730#533—52no—
731#532—52no—
732#532—52no—
733#532—52no—
734#529—58no—
735#529—58no—
736#529—54no—
737#529—54no—
738#529—54no—
739#529—58no—
740#529—54no—
741#529—54no—
742#529—54no—
743#529—52no—
744#529—52no—
745#529—54no—
746#529—52no—
747#529—52no—
748#529—54no—
749#529—54no—
750#529—58no—
751#529—54no—
752#529—54no—
753#529—54no—
754#529—58no—
755#529—54no—
756#529C2×D514yescomplemented
757C2×#126—58no—
758C2×#125—54no—
759C2×#124—54no—
760#525—52no—
761#525—58no—
762#525—58no—
763#525—54no—
764#525—54no—
765#525C2×D512yescomplemented
766C2×#123—58no—
767C2×C22⋊Q8—54no—
768C2×#121—54no—
769#520—54no—
770#520—52no—
771#520—54no—
772#520C2×D512yescomplemented
773#518—58no—
774#518—54no—
775#518—52no—
776#518—54no—
777C4×#41—52no—
778C4×#41—54no—
779C4×#41—54no—
780C4×#41—54no—
781C4×#41—54no—
782C4×#41—54no—
783C4×#41—54no—
784C4×#41—54no—
785C4×#41—52no—
786C4×#41—54no—
787C2×C4×Q8—54no—
788C2×C4×Q8—51no—
789C2×C4×Q8—51no—
790C2×C4×D4—58no—
791C2×C4×D4—54no—
792C2×C4×D4—54no—
793C2×C4×D4—51no—
794C2×C4×D4—51no—
795C2×C4×D4—54no—
796C2×C4×D4—52no—
797C2×C4×D4—52no—
798C2×#117—58no—
799C2×#117—52no—
800C2×#117C2×D511yescharacteristic, complemented
801C22×C42—51no—
802C22×C42—52no—
803C23×C5—22no—
804C23×C5—41no—
805C23×C5—41no—
806C23×C5C2514yes—
807C23×C5C2512yes—
808C23×C5C2511yescharacteristic
809C22×D5—216no—
810C22×D5—42no—
811C22×D5—42no—
812C22×D5—48no—
813C22×D5—48no—
814C22×D5C2×#4118yes—
815C22×D5C2514yes—
816C22×D5C2514yes—
817C5×Q8—24no—
818C5×Q8—44no—
819C5×D4—28no—
820C5×D4—24no—
821C5×D4—44no—
822C5×D4—44no—
823C5×D4—44no—
824C2×C4×C5—22no—
825C2×C4×C5—28no—
826C2×C4×C5—24no—
827C2×C4×C5—24no—
828C2×C4×C5—48no—
829C2×C4×C5—42no—
830C2×C4×C5—42no—
831C2×C4×C5C2×#4114yes—
832C2×C4×C5C2511yescharacteristic
833C2×C4×C5C2511yescharacteristic
834C2×C4×C5C2514yes—
835C2×C4×C5C2514yes—
836C2×C4×C5C2514yes—
837C2×C4×C5C2514yes—
838C2×C4×C5C2514yes—
839C2×C4×C5C2512yes—
840C22⋊D5—28no—
841C22⋊D5—216no—
842C22⋊D5—216no—
843C22⋊D5—28no—
844C22⋊D5—44no—
845C22⋊D5—44no—
846C22⋊D5—44no—
847C2×Dic5—24no—
848C2×Dic5—28no—
849C2×Dic5—22no—
850C2×Dic5—22no—
851C2×Dic5—24no—
852C2×Dic5—24no—
853C2×Dic5—44no—
854C2×Dic5—41no—
855C2×Dic5—42no—
856C2×Dic5—42no—
857C2×Dic5—41no—
858C2×Dic5C2512yes—
859C2×Dic5C2511yescharacteristic
860C2×Dic5C2511yescharacteristic
861C2×Dic5C2512yes—
862C2×Dic5C2514yes—
863C2×Dic5C2514yes—
864C2×Dic5C2514yes—
865C2×Dic5C2514yes—
866C2×Dic5C2511yescharacteristic
867C2×Dic5C2511yescharacteristic
868D20—216no—
869D20—24no—
870D20—44no—
871D20C2×#41116yes—
872C4×D5—28no—
873C4×D5—28no—
874C4×D5—216no—
875C4×D5—28no—
876C4×D5—28no—
877C4×D5—28no—
878C4×D5—28no—
879C4×D5—48no—
880C4×D5—48no—
881C4×D5—44no—
882C4×D5—44no—
883C4×D5—44no—
884C4×D5—48no—
885Dic10—28no—
886Dic10—24no—
887Dic10—28no—
888Dic10—44no—
889Dic10—44no—
890H(5,𝔽2)—1016no—
891C2×#41—54no—
892C2×#41—54no—
893C2×#41—54no—
894C2×#41—54no—
895C2×#41—54no—
896C2×#41—52no—
897C2×#41—54no—
898C2×#41—108no—
899C2×#41C22×D512yes—
900C22×Q8—54no—
901C22×Q8—51no—
902C22×D4—52no—
903C22×D4—58no—
904C22×D4—54no—
905C22×D4—54no—
906C22×D4—51no—
907C22×D4—54no—
908C23×C4—51no—
909C23×C4—51no—
910C23×C4—52no—
911C23×C4—58no—
912C23×C4—52no—
913C23×C4—52no—
914C23×C4C22×D511yescharacteristic
915C4⋊Q8—52no—
916C4⋊Q8—54no—
917C4⋊Q8—52no—
918C4⋊Q8—52no—
919C4⋊Q8—54no—
920C4⋊Q8—54no—
921C4⋊Q8C22×D514yes—
922#127—52no—
923#126—54no—
924#126—58no—
925#126—58no—
926#126—54no—
927#126—58no—
928#126—54no—
929#126—58no—
930#126—58no—
931#126—54no—
932#126—58no—
933#126—58no—
934#126—58no—
935#126—58no—
936#126—58no—
937#126C22×D518yes—
938#126C22×D518yes—
939#125—54no—
940#125—54no—
941#125—54no—
942#125—58no—
943#125—54no—
944#125—52no—
945#125—52no—
946#125—58no—
947#125—54no—
948#125—58no—
949#125—58no—
950#125—54no—
951#125—58no—
952#125C22×D514yes—
953#125C22×D514yes—
954#124—54no—
955#124—52no—
956#124—54no—
957#124—52no—
958#124—54no—
959#124—54no—
960#124—58no—
961#124—54no—
962#124—58no—
963#124—54no—
964#124—54no—
965#124C22×D514yes—
966#124C22×D518yes—
967#123—58no—
968#123—54no—
969#123—54no—
970#123—58no—
971#123—54no—
972#123—58no—
973#123—58no—
974#123—58no—
975#123—58no—
976#123—58no—
977#123—58no—
978#123—58no—
979#123—58no—
980#123—54no—
981#123—54no—
982#123—58no—
983#123—58no—
984#123—58no—
985#123—58no—
986#123—58no—
987#123C22×D514yes—
988#123C22×D518yes—
989C22⋊Q8—54no—
990C22⋊Q8—58no—
991C22⋊Q8—58no—
992C22⋊Q8—54no—
993C22⋊Q8—52no—
994C22⋊Q8—52no—
995C22⋊Q8—58no—
996C22⋊Q8—54no—
997C22⋊Q8—54no—
998C22⋊Q8—58no—
999C22⋊Q8—54no—
1000C22⋊Q8—58no—
1001C22⋊Q8—58no—
1002C22⋊Q8—58no—
1003C22⋊Q8—54no—
1004C22⋊Q8—58no—
1005C22⋊Q8—54no—
1006C22⋊Q8—54no—
1007C22⋊Q8—54no—
1008C22⋊Q8—54no—
1009C22⋊Q8—54no—
1010C22⋊Q8—54no—
1011C22⋊Q8—58no—
1012C22⋊Q8C22×D514yes—
1013C22⋊Q8C22×D512yes—
1014C22⋊Q8C22×D512yes—
1015C22⋊Q8C22×D514yes—
1016#121—54no—
1017#121—54no—
1018#121—54no—
1019#121—54no—
1020#121—54no—
1021#121—58no—
1022#121—58no—
1023#121—54no—
1024#121—52no—
1025#121—52no—
1026#121—54no—
1027#121—54no—
1028#121—58no—
1029#121—58no—
1030#121—58no—
1031#121—58no—
1032#121C22×D514yes—
1033#121C22×D518yes—
1034#121C22×D512yes—
1035#121C22×D512yes—
1036#121C22×D514yes—
1037#120—54no—
1038#120—58no—
1039#120—58no—
1040#120—58no—
1041#120—58no—
1042#120C22×D514yes—
1043C4×Q8—54no—
1044C4×Q8—52no—
1045C4×Q8—52no—
1046C4×Q8—54no—
1047C4×Q8—54no—
1048C4×Q8—54no—
1049C4×Q8—54no—
1050C4×Q8—54no—
1051C4×Q8—54no—
1052C4×Q8—52no—
1053C4×Q8—52no—
1054C4×Q8—54no—
1055C4×Q8—54no—
1056C4×Q8—58no—
1057C4×Q8—54no—
1058C4×Q8—54no—
1059C4×Q8—54no—
1060C4×Q8C22×D514yes—
1061C4×Q8C22×D514yes—
1062C4×D4—54no—
1063C4×D4—52no—
1064C4×D4—54no—
1065C4×D4—54no—
1066C4×D4—52no—
1067C4×D4—54no—
1068C4×D4—54no—
1069C4×D4—58no—
1070C4×D4—58no—
1071C4×D4—58no—
1072C4×D4—58no—
1073C4×D4—54no—
1074C4×D4—54no—
1075C4×D4—54no—
1076C4×D4—54no—
1077C4×D4—54no—
1078C4×D4—58no—
1079C4×D4—52no—
1080C4×D4—54no—
1081C4×D4—54no—
1082C4×D4—54no—
1083C4×D4—54no—
1084C4×D4—58no—
1085C4×D4—54no—
1086C4×D4—54no—
1087C4×D4—52no—
1088C4×D4—54no—
1089C4×D4—58no—
1090C4×D4—54no—
1091C4×D4—54no—
1092C4×D4—58no—
1093C4×D4—58no—
1094C4×D4—58no—
1095C4×D4—58no—
1096C4×D4—54no—
1097C4×D4—58no—
1098C4×D4—54no—
1099C4×D4—54no—
1100C4×D4—54no—
1101C4×D4—58no—
1102C4×D4—54no—
1103C4×D4—54no—
1104C4×D4—54no—
1105C4×D4—58no—
1106C4×D4C22×D518yes—
1107C4×D4C22×D514yes—
1108C4×D4C22×D514yes—
1109C4×D4C22×D514yes—
1110C4×D4C22×D514yes—
1111#117—58no—
1112#117—52no—
1113#117—54no—
1114#117—54no—
1115#117—58no—
1116#117—58no—
1117#117—54no—
1118#117—54no—
1119#117—54no—
1120#117—58no—
1121#117—54no—
1122#117—54no—
1123#117—54no—
1124#117—58no—
1125#117—58no—
1126#117—58no—
1127#117—58no—
1128#117—54no—
1129#117—58no—
1130#117C22×D518yes—
1131#117C22×D514yes—
1132#117C22×D514yes—
1133#117C22×D512yes—
1134#117C22×D514yes—
1135C2×C4⋊C4—52no—
1136C2×C4⋊C4—52no—
1137C2×C4⋊C4—58no—
1138C2×C4⋊C4—58no—
1139C2×C4⋊C4—58no—
1140C2×C4⋊C4—54no—
1141C2×C4⋊C4—54no—
1142C2×C4⋊C4—54no—
1143C2×C4⋊C4—58no—
1144C2×C4⋊C4C22×D511yescharacteristic
1145C2×C4⋊C4C22×D511yescharacteristic
1146C2×C4⋊C4C22×D514yes—
1147C2×C22⋊C4—52no—
1148C2×C22⋊C4—52no—
1149C2×C22⋊C4—58no—
1150C2×C22⋊C4—58no—
1151C2×C22⋊C4—58no—
1152C2×C22⋊C4—58no—
1153C2×C22⋊C4—58no—
1154C2×C22⋊C4—58no—
1155C2×C22⋊C4—58no—
1156C2×C22⋊C4C22×D512yes—
1157C2×C42—51no—
1158C2×C42—51no—
1159C2×C42—52no—
1160C2×C42—52no—
1161C2×C42—51no—
1162C2×C42—54no—
1163C2×C42—52no—
1164C2×C42—52no—
1165C2×C42—52no—
1166C2×C42—52no—
1167C2×C42—51no—
1168C2×C42—54no—
1169C2×C42—58no—
1170C2×C42—54no—
1171C2×C42—54no—
1172C2×C42—54no—
1173C2×C42—54no—
1174C2×C42C22×D512yes—
1175C22×C5—21no—
1176C22×C5—21no—
1177C22×C5—22no—
1178C22×C5—24no—
1179C22×C5—22no—
1180C22×C5—22no—
1181C22×C5—24no—
1182C22×C5—24no—
1183C22×C5—44no—
1184C22×C5C22×#4112yes—
1185C22×C5C2611yescharacteristic
1186C2×D5—24no—
1187C2×D5—24no—
1188C2×D5—24no—
1189C2×D5—24no—
1190C2×D5—24no—
1191C2×D5—48no—
1192C2×D5—816no—
1193C2×D5C22×#4118yes—
1194C4×C5—21no—
1195C4×C5—21no—
1196C4×C5—24no—
1197C4×C5—24no—
1198C4×C5—24no—
1199C4×C5—24no—
1200C4×C5—24no—
1201C4×C5C22×#4114yes—
1202Dic5—24no—
1203Dic5—24no—
1204Dic5—24no—
1205Dic5—22no—
1206Dic5—24no—
1207Dic5—21no—
1208Dic5—21no—
1209Dic5—22no—
1210Dic5#58512yes—
1211Dic5#58512yes—
1212C24—52no—
1213C24—58no—
1214C24C23×D511yescharacteristic
1215#41—28no—
1216#41—1016no—
1217#41—1016no—
1218#41—1016no—
1219#41—1016no—
1220#41—108no—
1221#41—208no—
1222#41—208no—
1223C2×Q8—54no—
1224C2×Q8—54no—
1225C2×Q8—52no—
1226C2×Q8—54no—
1227C2×Q8—54no—
1228C2×Q8—104no—
1229C2×Q8—208no—
1230C2×Q8C23×D512yes—
1231C2×Q8C23×D514yes—
1232C2×D4—58no—
1233C2×D4—58no—
1234C2×D4—54no—
1235C2×D4—54no—
1236C2×D4—54no—
1237C2×D4—54no—
1238C2×D4—54no—
1239C2×D4—58no—
1240C2×D4—54no—
1241C2×D4—58no—
1242C2×D4—52no—
1243C2×D4—54no—
1244C2×D4—1016no—
1245C2×D4—1016no—
1246C2×D4—1032no—
1247C2×D4—108no—
1248C2×D4—208no—
1249C2×D4C23×D514yes—
1250C2×D4C23×D512yes—
1251C2×D4C23×D514yes—
1252C2×D4C23×D514yes—
1253C2×D4C23×D514yes—
1254C22×C4—24no—
1255C22×C4—51no—
1256C22×C4—51no—
1257C22×C4—52no—
1258C22×C4—52no—
1259C22×C4—52no—
1260C22×C4—54no—
1261C22×C4—51no—
1262C22×C4—51no—
1263C22×C4—52no—
1264C22×C4—52no—
1265C22×C4—54no—
1266C22×C4—54no—
1267C22×C4—54no—
1268C22×C4—54no—
1269C22×C4—54no—
1270C22×C4—58no—
1271C22×C4—54no—
1272C22×C4—54no—
1273C22×C4—54no—
1274C22×C4—54no—
1275C22×C4—58no—
1276C22×C4—54no—
1277C22×C4—58no—
1278C22×C4—58no—
1279C22×C4—108no—
1280C22×C4—204no—
1281C22×C4—2016no—
1282C22×C4—204no—
1283C22×C4—202no—
1284C22×C4—202no—
1285C22×C4C23×D511yescharacteristic
1286C22×C4C23×D512yes—
1287C22×C4C23×D512yes—
1288C22×C4C23×D514yes—
1289C22×C4C23×D512yes—
1290C22×C4C23×D512yes—
1291C22×C4C23×D518yes—
1292C22×C4C23×D511yescharacteristic
1293C4⋊C4—54no—
1294C4⋊C4—54no—
1295C4⋊C4—54no—
1296C4⋊C4—54no—
1297C4⋊C4—52no—
1298C4⋊C4—54no—
1299C4⋊C4—58no—
1300C4⋊C4—54no—
1301C4⋊C4—54no—
1302C4⋊C4—54no—
1303C4⋊C4—58no—
1304C4⋊C4—58no—
1305C4⋊C4—58no—
1306C4⋊C4—58no—
1307C4⋊C4—58no—
1308C4⋊C4—54no—
1309C4⋊C4—54no—
1310C4⋊C4—58no—
1311C4⋊C4—58no—
1312C4⋊C4—52no—
1313C4⋊C4—54no—
1314C4⋊C4—54no—
1315C4⋊C4—54no—
1316C4⋊C4—54no—
1317C4⋊C4—54no—
1318C4⋊C4—54no—
1319C4⋊C4C23×D514yes—
1320C4⋊C4C23×D514yes—
1321C4⋊C4C23×D514yes—
1322C4⋊C4C23×D518yes—
1323C4⋊C4C23×D518yes—
1324C4⋊C4C23×D514yes—
1325C4⋊C4C23×D514yes—
1326C4⋊C4C23×D512yes—
1327C4⋊C4C23×D514yes—
1328C4⋊C4C23×D512yes—
1329C22⋊C4—54no—
1330C22⋊C4—54no—
1331C22⋊C4—54no—
1332C22⋊C4—54no—
1333C22⋊C4—58no—
1334C22⋊C4—58no—
1335C22⋊C4—54no—
1336C22⋊C4—54no—
1337C22⋊C4—54no—
1338C22⋊C4—58no—
1339C22⋊C4—54no—
1340C22⋊C4—54no—
1341C22⋊C4—58no—
1342C22⋊C4—58no—
1343C22⋊C4—54no—
1344C22⋊C4—54no—
1345C22⋊C4—54no—
1346C22⋊C4—58no—
1347C22⋊C4—58no—
1348C22⋊C4—58no—
1349C22⋊C4—58no—
1350C22⋊C4—58no—
1351C22⋊C4—54no—
1352C22⋊C4C23×D514yes—
1353C22⋊C4C23×D514yes—
1354C22⋊C4C23×D514yes—
1355C22⋊C4C23×D518yes—
1356C22⋊C4C23×D518yes—
1357C22⋊C4C23×D518yes—
1358C22⋊C4C23×D514yes—
1359C22⋊C4C23×D514yes—
1360C42—51no—
1361C42—51no—
1362C42—52no—
1363C42—51no—
1364C42—51no—
1365C42—52no—
1366C42—54no—
1367C42—54no—
1368C42—54no—
1369C42—52no—
1370C42—52no—
1371C42—54no—
1372C42—54no—
1373C42—52no—
1374C42—52no—
1375C42—54no—
1376C42—54no—
1377C42—54no—
1378C42—58no—
1379C42—54no—
1380C42C23×D514yes—
1381C42C23×D514yes—
1382C42C23×D518yes—
1383C42C23×D514yes—
1384C2×C5—22no—
1385C2×C5—44no—
1386C2×C5—42no—
1387C2×C5C23×#4111yescharacteristic
1388C2×C5C2×#58511yescharacteristic
1389C2×C5C2×#58511yescharacteristic
1390D5—28no—
1391D5—44no—
1392C23—22no—
1393C23—41no—
1394C23—41no—
1395C23—54no—
1396C23—58no—
1397C23—54no—
1398C23—1016no—
1399C23—202no—
1400C23—202no—
1401C23—208no—
1402C23—208no—
1403C23C24×D514yes—
1404C23C24×D512yes—
1405C23C24×D511yescharacteristic
1406Q8—24no—
1407Q8—44no—
1408Q8—108no—
1409Q8—108no—
1410Q8—104no—
1411Q8—204no—
1412Q8—204no—
1413D4—28no—
1414D4—24no—
1415D4—44no—
1416D4—44no—
1417D4—44no—
1418D4—516no—
1419D4—1016no—
1420D4—108no—
1421D4—1016no—
1422D4—1016no—
1423D4—108no—
1424D4—104no—
1425D4—204no—
1426D4—204no—
1427D4—204no—
1428D4—204no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—28no—
1433C2×C4—42no—
1434C2×C4—48no—
1435C2×C4—42no—
1436C2×C4—51no—
1437C2×C4—51no—
1438C2×C4—51no—
1439C2×C4—52no—
1440C2×C4—51no—
1441C2×C4—54no—
1442C2×C4—54no—
1443C2×C4—52no—
1444C2×C4—54no—
1445C2×C4—54no—
1446C2×C4—108no—
1447C2×C4—108no—
1448C2×C4—108no—
1449C2×C4—108no—
1450C2×C4—108no—
1451C2×C4—1016no—
1452C2×C4—102no—
1453C2×C4—102no—
1454C2×C4—108no—
1455C2×C4—104no—
1456C2×C4—104no—
1457C2×C4—104no—
1458C2×C4—108no—
1459C2×C4—204no—
1460C2×C4—208no—
1461C2×C4—208no—
1462C2×C4—204no—
1463C2×C4—208no—
1464C2×C4—204no—
1465C2×C4—201no—
1466C2×C4—202no—
1467C2×C4—202no—
1468C2×C4—201no—
1469C2×C4—204no—
1470C2×C4D5×#4114yes—
1471C2×C4C24×D511yescharacteristic
1472C2×C4C24×D511yescharacteristic
1473C2×C4C24×D514yes—
1474C2×C4C24×D514yes—
1475C2×C4C24×D514yes—
1476C2×C4C24×D514yes—
1477C2×C4C24×D514yes—
1478C2×C4C24×D512yes—
1479C5#6278111yescharacteristic, complemented, Sylow
1480C22—21no—
1481C22—21no—
1482C22—22no—
1483C22—24no—
1484C22—24no—
1485C22—22no—
1486C22—22no—
1487C22—24no—
1488C22—44no—
1489C22—58no—
1490C22—104no—
1491C22—104no—
1492C22—104no—
1493C22—104no—
1494C22—104no—
1495C22—208no—
1496C22—4016no—
1497C22C2×D5×#4112yes—
1498C22C25×D511yescharacteristic
1499C4—21no—
1500C4—21no—
1501C4—24no—
1502C4—24no—
1503C4—24no—
1504C4—24no—
1505C4—24no—
1506C4—52no—
1507C4—52no—
1508C4—104no—
1509C4—104no—
1510C4—101no—
1511C4—101no—
1512C4—102no—
1513C4—104no—
1514C4—102no—
1515C4—104no—
1516C4C2×D5×#4114yes—
1517C2—22no—
1518C2—42no—
1519C2—44no—
1520C2—108no—
1521C2—204no—
1522C2C22×D5×#4111yescharacteristic
1523C2D5×#58511yescharacteristic
1524C2D5×#58511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D5
commutator, socle, cosocleC22×C5C26
FittingC5×#3493C2
hypercenter#3493D5
hypocenterC5#62781
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22 ◁ #3493

Complements

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

NH ≅ G/Ntype
1. C5×#3493C2semidirect
2. #10618892C2semidirect
3. #10618882C2semidirect
4. #10618863C2semidirect
5. #10618859C2semidirect
6. #10618791C2semidirect
7. #10618777C2semidirect
8. #10618738C2semidirect
9. #10618727C2semidirect
10. #10618500C2semidirect
11. #10618484C2semidirect
12. #10618316C2semidirect
13. #10618289C2semidirect
14. #10618283C2semidirect
15. #10618266C2semidirect
16. #10618056C2semidirect
17. D5×#529C2semidirect
18. #10617941C2semidirect
19. #10617919C2semidirect
20. #10617793C2semidirect
21. #10617787C2semidirect
22. #10617647C2semidirect
23. C2×#65856C2semidirect
26. C5×#556C22semidirect
27. C5×#555C22semidirect
28. C5×#553C22semidirect
29. C5×#552C22semidirect
30. C5×#544C22semidirect
31. C5×#538C22semidirect
33. C5×#529C22semidirect
34. C5×#525C22semidirect
35. C5×#520C22semidirect
36. C2×C5×#117C22semidirect
38. #41×Dic5C22semidirect
39. #66159C22semidirect
40. #66125C22semidirect
41. C22×C4×Dic5C22semidirect
42. #66067C22semidirect
43. #66064C22semidirect
44. #66062C22semidirect
45. #66061C22semidirect
46. #66043C22semidirect
47. #66042C22semidirect
48. #66042C22semidirect
49. #66041C22semidirect
50. #66040C22semidirect
51. #66040C22semidirect
52. #66039C22semidirect
53. D5×#126C22semidirect
54. #66031C22semidirect
55. #66027C22semidirect
56. #66025C22semidirect
57. #66025C22semidirect
58. #66024C22semidirect
59. #66024C22semidirect
60. D5×#125C22semidirect
61. #66014C22semidirect
62. #66014C22semidirect
63. #66013C22semidirect
64. #66013C22semidirect
65. #66012C22semidirect
66. #66011C22semidirect
67. D5×#124C22semidirect
68. #65995C22semidirect
69. #65994C22semidirect
70. #65992C22semidirect
71. #65990C22semidirect
72. D5×#123C22semidirect
73. #65983C22semidirect
74. #65983C22semidirect
75. #65979C22semidirect
76. #65968C22semidirect
77. #65965C22semidirect
78. #65965C22semidirect
79. #65965C22semidirect
80. #65964C22semidirect
81. D5×C22⋊Q8C22semidirect
82. #65959C22semidirect
83. #65958C22semidirect
84. #65958C22semidirect
85. #65958C22semidirect
86. #65956C22semidirect
87. #65956C22semidirect
88. #65956C22semidirect
89. #65948C22semidirect
90. #65947C22semidirect
91. #65946C22semidirect
92. #65946C22semidirect
93. #65946C22semidirect
94. #65944C22semidirect
95. #65943C22semidirect
96. #65940C22semidirect
99. #65937C22semidirect
100. #65936C22semidirect
101. #65934C22semidirect
102. #65934C22semidirect
103. #65934C22semidirect
104. #65934C22semidirect
105. #65930C22semidirect
106. #65930C22semidirect
107. #65923C22semidirect
108. #65920C22semidirect
109. #65920C22semidirect
110. #65915C22semidirect
111. #65914C22semidirect
112. #65908C22semidirect
113. C4×#713C22semidirect
114. C4×Q8×D5C22semidirect
115. #65902C22semidirect
116. #65901C22semidirect
117. #65898C22semidirect
118. #65893C22semidirect
119. #65891C22semidirect
120. #65890C22semidirect
121. #65885C22semidirect
122. #65885C22semidirect
123. #65884C22semidirect
124. #65884C22semidirect
125. #65879C22semidirect
126. #65879C22semidirect
127. C4×D4×D5C22semidirect
128. C4×D4×D5C22semidirect
129. C4×D4×D5C22semidirect
130. #65876C22semidirect
131. #65872C22semidirect
132. #65872C22semidirect
133. #65872C22semidirect
134. C4×#711C22semidirect
135. C4×#711C22semidirect
136. #65867C22semidirect
137. #65867C22semidirect
138. #65866C22semidirect
139. #65864C22semidirect
140. #65863C22semidirect
141. #65863C22semidirect
142. #65863C22semidirect
143. #65862C22semidirect
144. #65861C22semidirect
145. #65860C22semidirect
146. #65856C22semidirect
147. #65856C22semidirect
148. #65856C22semidirect
149. #65856C22semidirect
150. #65856C22semidirect
151. #65856C22semidirect
153. #65855C22semidirect
154. D5×#117C22semidirect
155. #65851C22semidirect
156. #65847C22semidirect
157. #65845C22semidirect
159. #65838C22semidirect
160. #65838C22semidirect
163. C2×#4039C22semidirect
164. #65834C22semidirect
165. C2×#4033C22semidirect
166. C2×#4033C22semidirect
167. #65828C22semidirect
168. C2×#4027C22semidirect
169. C2×#4027C22semidirect
170. #65813C22semidirect
171. C2×#4018C22semidirect
172. C2×C42×D5C22semidirect
468. #3493D5semidirect
535. C2×D20#41semidirect
662. #556C2×D5semidirect
664. #555C2×D5semidirect
673. #553C2×D5semidirect
682. #552C2×D5semidirect
705. #544C2×D5semidirect
719. #538C2×D5semidirect
756. #529C2×D5semidirect
765. #525C2×D5semidirect
772. #520C2×D5semidirect
800. C2×#117C2×D5semidirect
1479. C5#62781semidirect

Maximal subgroups

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

subgroupindex
C5×#34932
#106188922
#106188822
#106188632
#106188592
#106187912
#106187772
#106187382
#106187272
#106185002
#106184842
#106183162
#106182892
#106182832
#106182662
#106180562
D5×#5292
#106179412
#106179192
#106177932
#106177872
#106176472
C2×#658562
#627815