Finite Group Databasebeta

← #13007981

Subgroups — #13007981

Order 1280.

7274 conjugacy classes of subgroups.

The subgroup lattice has 1458 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3543C211yesmaximal, characteristic, complemented
2#10618985C218yesmaximal, complemented
3#10618956C212yesmaximal, complemented
4#10618677C212yesmaximal, complemented
5#10618676C212yesmaximal, complemented
6#10618567C214yesmaximal, complemented
7#10618535C214yesmaximal, complemented
8#10618522C214yesmaximal, complemented
9#10618513C212yesmaximal, complemented
10#10618510C214yesmaximal, complemented
11#10618395C214yesmaximal, complemented
12#10618386C214yesmaximal, complemented
13#10618238C214yesmaximal, complemented
14#10618233C214yesmaximal, complemented
15#10618205C214yesmaximal, complemented
16#10618197C214yesmaximal, complemented
17#10618098C211yesmaximal, characteristic, complemented
18C2×#66050C211yesmaximal, characteristic, complemented
19D5×#529C212yesmaximal, complemented
20#10618034C212yesmaximal, complemented
21C2×#4144C2214yescomplemented
22C22×#711C2212yescomplemented
23C5×#560C2214yescomplemented
24C5×#559C2211yescharacteristic, complemented
25C5×#550C2212yescomplemented
26C5×#546C2214yescomplemented
27C5×D42C2214yescomplemented
28C5×D42C2211yescharacteristic, complemented
29C5×#540C2214yescomplemented
30C5×#535C2214yescomplemented
31C5×#534C2214yescomplemented
32C2×C5×#127C2211yescharacteristic, complemented
33C5×#529C2212yescomplemented
34#66165C2214yescomplemented
35#66163C2214yescomplemented
36#66162C2214yescomplemented
37#66161C2214yescomplemented
38#66140C2218yescomplemented
39#66140C2214yescomplemented
40#66140C2214yescomplemented
41#66138C2214yescomplemented
42D4×C22⋊D5C2214yescomplemented
43D4×C22⋊D5C2214yescomplemented
44C2×#4084C2214yescomplemented
45C2×#4084C2214yescomplemented
46#66132C2214yescomplemented
47C2×#4082C2212yescomplemented
48C2×#4081C2214yescomplemented
49C2×D4×Dic5C2214yescomplemented
50#66054C2214yescomplemented
51#66053C2214yescomplemented
52#66053C2214yescomplemented
53#66052C2212yescomplemented
54#66051C2211yescharacteristic, complemented
55#66051C2214yescomplemented
56#66050C2214yescomplemented
57#66050C2214yescomplemented
58#66050C2212yescomplemented
59#66050C2214yescomplemented
60#66050C2212yescomplemented
61#66050C2214yescomplemented
62#66049C2214yescomplemented
63#66047C2211yescharacteristic, complemented
64#66047C2214yescomplemented
65#66046C2218yescomplemented
66#66040C2214yescomplemented
67D5×#126C2214yescomplemented
68#66025C2212yescomplemented
69#66023C2214yescomplemented
70D5×#125C2212yescomplemented
71#66016C2214yescomplemented
72#66016C2214yescomplemented
73#66015C2214yescomplemented
74#66014C2214yescomplemented
75#66014C2212yescomplemented
76#66011C2214yescomplemented
77D5×#124C2212yescomplemented
78#65999C2218yescomplemented
79#65996C2218yescomplemented
80#65995C2218yescomplemented
81#65994C2218yescomplemented
82#65993C2214yescomplemented
83#65992C2218yescomplemented
84#65989C2218yescomplemented
85#65989C2218yescomplemented
86D5×#123C2214yescomplemented
87#65985C2214yescomplemented
88#65983C2214yescomplemented
89#65982C2218yescomplemented
90#65976C2214yescomplemented
91D5×C22⋊Q8C2212yescomplemented
92#65958C2212yescomplemented
93#65955C2218yescomplemented
94#65953C2214yescomplemented
95#65952C2214yescomplemented
96#65952C2218yescomplemented
97#65951C2218yescomplemented
98#65950C2218yescomplemented
99#65948C2214yescomplemented
100#65948C2214yescomplemented
101#65948C2218yescomplemented
102#65947C2218yescomplemented
103#65947C2218yescomplemented
104#65946C2218yescomplemented
105#65945C2214yescomplemented
106#65945C2218yescomplemented
107#65945C2218yescomplemented
108#65945C2214yescomplemented
109#65944C2218yescomplemented
110#65944C2218yescomplemented
111#65942C2218yescomplemented
112#65940C2214yescomplemented
113D5×#121C2212yes—
114D5×#121C2214yescomplemented
115#65937C2214yescomplemented
116#65937C2218yescomplemented
117#65936C2218yescomplemented
118#65935C2218yescomplemented
119#65934C2212yescomplemented
120#65928C2214yescomplemented
121#65927C2218yescomplemented
122#65927C2218yescomplemented
123#65925C2218yescomplemented
124#65925C2218yescomplemented
125#65925C2218yescomplemented
126#65925C2218yescomplemented
127#65923C2218yescomplemented
128#65923C2218yescomplemented
129#65921C2214yescomplemented
130#65921C2218yescomplemented
131#65921C2218yescomplemented
132#65920C2218yescomplemented
133#65914C2212yescomplemented
134#65913C2212yescomplemented
135C4×Q8×D5C2212yescomplemented
136Q8×Dic10C2212yescomplemented
137#65897C2212yescomplemented
138#65892C2214yescomplemented
139#65891C2214yescomplemented
140#65891C2212yescomplemented
141#65889C2214yescomplemented
142#65885C2214yescomplemented
143#65882C2214yescomplemented
144#65880C2214yescomplemented
145#65879C2214yescomplemented
146C4×D4×D5C2212yescomplemented
147C4×D4×D5C2214yescomplemented
148#65877C2214yescomplemented
149#65877C2212yescomplemented
150#65875C2214yescomplemented
151#65873C2214yescomplemented
152#65872C2214yescomplemented
153#65868C2214yescomplemented
154#65862C2214yescomplemented
155D5×#117C2214yescomplemented
156#65853C2214yescomplemented
157#65829C2218yescomplemented
158C2×#4032C2214yescomplemented
159#65820C2214yescomplemented
160#65813C2212yescomplemented
161C2×C42×D5C2211yescharacteristic, complemented
162C2×#4015C2211yescharacteristic, complemented
163#62822—51nomaximal, Sylow
164C2×C5×#41C2314yes—
165C22×C5×D4C2314yes—
166C22×C5×D4C2314yes—
167C22×C5×D4C2312yes—
168C22×C5×D4C2314yes—
169C22×C22⋊D5C2314yes—
170C22×C22⋊D5C2314yes—
171C22×C22⋊D5C2318yes—
172C23×Dic5C2314yes—
173C2×Q8×D5C2312yes—
174#4144—416no—
175C2×#711—48no—
176C2×#711C2314yes—
177C2×#711C2314yes—
178C2×#711C2318yes—
179C2×#711C2314yes—
180C2×#711C2318yes—
181C2×#711C2318yes—
182C2×D4×D5C2314yes—
183C2×D4×D5C2314yes—
184C2×D4×D5C2312yes—
185C2×D4×D5C2318yes—
186C2×#709C2318yes—
187C22×C4×D5C2311yescharacteristic
188C22×C4×D5C2312yes—
189C22×C4×D5C2314yes—
190C22×Dic10C2312yes—
191C5×#127C2314yes—
192C5×#127C2311yescharacteristic
193C5×#127C2311yescharacteristic
194C5×#127C2312yes—
195C5×#127C2314yes—
196C5×#126C2314yes—
197C5×#125C2312yes—
198C5×#124C2312yes—
199C5×#124C2314yes—
200C5×#123C2314yes—
201C5×#123C2314yes—
202C5×#123C2314yes—
203C5×#123C2318yes—
204C5×C22⋊Q8C2312yes—
205C5×#121C2312yes—
206C5×#121C2318yes—
207C5×#121C2314yes—
208C5×#121C2318yes—
209C5×#121C2314yes—
210C5×#121C2318yes—
211C5×#121C2318yes—
212C5×#120C2318yes—
213C5×#120C2318yes—
214C5×#120C2314yes—
215C5×#120C2314yes—
216C4×C5×Q8C2312yes—
217C4×C5×D4C2314yes—
218C4×C5×D4C2314yes—
219C4×C5×D4C2312yes—
220C4×C5×D4C2314yes—
221C5×#117C2314yes—
222C2×C5×C22⋊C4C2314yes—
223C2×C42×C5C2311yescharacteristic
224#4099C2318yes—
225#4099C2318yes—
226C2×C22⋊Dic5C2314yes—
227C2×C22⋊Dic5C2318yes—
228C2×C22⋊Dic5C2318yes—
229C2×C22⋊Dic5C2318yes—
230#4093C2312yes—
231#4092C2312yes—
232#4092C2314yes—
233Q8×Dic5C2314yes—
234Q8×Dic5C2312yes—
235#4086C2314yes—
236#4085C2318yes—
237#4085C2318yes—
238#4085C2318yes—
239#4085C2318yes—
240#4085C2318yes—
241#4085C2318yes—
242#4085C2314yes—
243#4085C2318yes—
244#4085C2318yes—
245#4084C2314yes—
246#4084C2314yes—
247#4084C2314yes—
248#4084C2312yes—
249#4084C2314yes—
250#4084C2318yes—
251#4084C2318yes—
252#4084C2318yes—
253#4084C2314yes—
254#4084C2314yes—
255#4084C2318yes—
256#4084C2314yes—
257#4084C2318yes—
258#4084C2318yes—
259#4083C2314yes—
260#4083C2318yes—
261#4083C2314yes—
262#4083C2318yes—
263#4083C2318yes—
264#4083C2318yes—
265#4082C2314yes—
266#4082C2314yes—
267#4082C2314yes—
268#4082C2314yes—
269#4082C2314yes—
270#4082C2318yes—
271#4082C2312yes—
272#4082C2318yes—
273#4081C2314yes—
274#4081C2318yes—
275#4081C2318yes—
276#4081C2318yes—
277#4081C2314yes—
278#4081C2314yes—
279#4081C2318yes—
280#4081C2318yes—
281#4081C2318yes—
282#4081C2318yes—
283D4×Dic5C2314yes—
284D4×Dic5C2314yes—
285D4×Dic5C2314yes—
286D4×Dic5C2314yes—
287D4×Dic5C2318yes—
288D4×Dic5C2318yes—
289D4×Dic5C2314yes—
290D4×Dic5C2314yes—
291D4×Dic5C2318yes—
292D4×Dic5C2314yes—
293D4×Dic5C2312yes—
294D4×Dic5C2318yes—
295D4×Dic5C2318yes—
296D4×Dic5C2314yes—
297D4×Dic5C2318yes—
298#4076C2312yes—
299#4076C2314yes—
300#4075C2314yes—
301#4075C2318yes—
302C4×C22⋊D5C2314yes—
303C4×C22⋊D5C2318yes—
304C4×C22⋊D5C2318yes—
305C4×C22⋊D5C2318yes—
306C4×C22⋊D5C2314yes—
307C4×C22⋊D5C2314yes—
308C4×C22⋊D5C2318yes—
309C2×#685C2318yes—
310#4072C2318yes—
311#4072C2314yes—
312#4072C2314yes—
313C2×C4⋊Dic5C2314yes—
314C2×C4⋊Dic5C2318yes—
315C2×C4⋊Dic5C2314yes—
316#4070C2312yes—
317#4070C2318yes—
318#4070C2314yes—
319#4070C2318yes—
320C2×#683C2318yes—
321C2×C4×Dic5C2312yes—
322C2×C4×Dic5C2311yescharacteristic
323#4044C2314yes—
324#4044C2318yes—
325#4044C2314yes—
326#4044C2314yes—
327#4043C2318yes—
328#4043C2312yes—
329#4042C2314yes—
330#4042C2318yes—
331#4042C2318yes—
332#4041C2312yes—
333#4040C2314yes—
334#4040C2314yes—
335#4039C2312yes—
336#4039C2314yes—
337#4038C2314yes—
338#4038C2314yes—
339#4038C2314yes—
340D5×C4⋊C4C2314yes—
341D5×C4⋊C4C2314yes—
342D5×C4⋊C4C2312yes—
343D5×C4⋊C4C2314yes—
344D5×C4⋊C4C2314yes—
345D5×C4⋊C4C2312yes—
346D5×C4⋊C4C2314yes—
347#4036C2318yes—
348#4036C2312yes—
349#4036C2314yes—
350#4036C2312yes—
351#4035C2314yes—
352#4035C2314yes—
353#4035C2318yes—
354#4034C2318yes—
355#4034C2314yes—
356#4034C2318yes—
357#4033C2312yes—
358#4033C2314yes—
359#4032C2314yes—
360#4032C2318yes—
361#4032C2318yes—
362#4032C2318yes—
363#4032C2318yes—
364#4031C2318yes—
365#4031C2314yes—
366#4031C2318yes—
367#4031C2314yes—
368#4031C2318yes—
369#4031C2318yes—
370#4030C2314yes—
371#4030C2318yes—
372#4030C2318yes—
373#4029C2318yes—
374#4029C2314yes—
375#4029C2318yes—
376#4029C2318yes—
377#4029C2318yes—
378#4029C2318yes—
379#4029C2314yes—
380#4027C2318yes—
381#4027C2318yes—
382#4027C2314yes—
383#4027C2314yes—
384#4027C2314yes—
385#4027C2318yes—
386#4027C2318yes—
387D5×C22⋊C4C2314yes—
388D5×C22⋊C4C2314yes—
389D5×C22⋊C4C2314yes—
390D5×C22⋊C4C2314yes—
391D5×C22⋊C4C2314yes—
392D5×C22⋊C4C2318yes—
393#4025C2318yes—
394#4025C2318yes—
395#4025C2314yes—
396#4025C2314yes—
397#4025C2318yes—
398#4025C2318yes—
399#4025C2314yes—
400#4025C2318yes—
401#4024C2314yes—
402#4024C2318yes—
403#4024C2318yes—
404#4024C2318yes—
405#4024C2318yes—
406#4024C2318yes—
407#4024C2318yes—
408#4024C2318yes—
409#4023C2318yes—
410#4023C2314yes—
411#4023C2314yes—
412#4023C2318yes—
413#4022C2314yes—
414#4021C2312yes—
415C4×D20C2312yes—
416C4×D20C2314yes—
417C4×D20C2314yes—
418#4018C2314yes—
419#4018C2314yes—
420C42×D5C2312yes—
421C42×D5C2312yes—
422C42×D5C2312yes—
423C42×D5C2312yes—
424C42×D5C2314yes—
425#4016C2312yes—
426#4016C2314yes—
427#4015C2314yes—
428#4015C2312yes—
429#4015C2312yes—
430#4015C2314yes—
431C4×Dic10C2312yes—
432C4×Dic10C2314yes—
433C4×Dic10C2314yes—
434#3560—58no—
435#3559—54no—
436#3558—54no—
437#3545—54no—
438#3544—52no—
439#3543—51no—
440#3543D511yescharacteristic, complemented
441#3522—52no—
442#3522—52no—
443#3519—52no—
444#3519—52no—
445#3513—54no—
446#3513—54no—
447#3505—54no—
448#3496—54no—
449#3494—54no—
450#3494—54no—
451#3485—54no—
452C2×#532—51no—
453C2×#529—52no—
454C24×C5C2414yes—
455C24×C5C2414yes—
456C23×D5C2414yes—
457C23×D5C2414yes—
458C23×D5C2411yescharacteristic
459C5×#41—48no—
460C2×C5×Q8C2412yes—
461C2×C5×D4—48no—
462C2×C5×D4—48no—
463C2×C5×D4—44no—
464C2×C5×D4—48no—
465C2×C5×D4C2414yes—
466C2×C5×D4C2412yes—
467C2×C5×D4C2414yes—
468C2×C5×D4C2414yes—
469C2×C5×D4C2418yes—
470C2×C5×D4C2418yes—
471C2×C5×D4C2412yes—
472C2×C5×D4C2418yes—
473C2×C5×D4C2414yes—
474C2×C5×D4C2418yes—
475C2×C5×D4C2412yes—
476C22×C4×C5C2412yes—
477C22×C4×C5C2411yescharacteristic
478C22×C4×C5C2414yes—
479C22×C4×C5C2418yes—
480C22×C4×C5C2414yes—
481C2×C22⋊D5—216no—
482C2×C22⋊D5—416no—
483C2×C22⋊D5—48no—
484C2×C22⋊D5C2414yes—
485C2×C22⋊D5C2418yes—
486C2×C22⋊D5C2418yes—
487C2×C22⋊D5C2414yes—
488C2×C22⋊D5C2414yes—
489C2×C22⋊D5C2418yes—
490C2×C22⋊D5C2418yes—
491C2×C22⋊D5C2418yes—
492C2×C22⋊D5C2418yes—
493C22×Dic5—48no—
494C22×Dic5C2414yes—
495C22×Dic5C2411yescharacteristic
496C22×Dic5C2412yes—
497C22×Dic5C2414yes—
498C22×Dic5C2418yes—
499C22×Dic5C2418yes—
500C22×Dic5C2418yes—
501C22×Dic5C2418yes—
502C22×Dic5C2414yes—
503Q8×D5—44no—
504#711—48no—
505#711—48no—
506#711—416no—
507#711—48no—
508#711—416no—
509#711—416no—
510D4×D5—216no—
511D4×D5—48no—
512D4×D5—44no—
513D4×D5—416no—
514#709—416no—
515C2×D20C2414yes—
516C2×D20C2412yes—
517C2×C4×D5—24no—
518C2×C4×D5—48no—
519C2×C4×D5—44no—
520C2×C4×D5C2412yes—
521C2×C4×D5C2414yes—
522C2×C4×D5C2412yes—
523C2×C4×D5C2412yes—
524C2×C4×D5C2412yes—
525C2×C4×D5C2414yes—
526C2×C4×D5C2412yes—
527C2×C4×D5C2412yes—
528C2×C4×D5C2414yes—
529C2×C4×D5C2414yes—
530C2×C4×D5C2418yes—
531C2×C4×D5C2414yes—
532C2×Dic10—44no—
533C2×Dic10C2412yes—
534C2×Dic10C2414yes—
535C2×Dic10C2414yes—
536C2×Dic10C2418yes—
537C2×Dic10C2414yes—
538C5×C4⋊C4C2414yes—
539C5×C4⋊C4C2414yes—
540C5×C4⋊C4C2412yes—
541C5×C4⋊C4C2412yes—
542C5×C4⋊C4C2414yes—
543C5×C4⋊C4C2414yes—
544C5×C22⋊C4C2414yes—
545C5×C22⋊C4C2414yes—
546C5×C22⋊C4C2414yes—
547C5×C22⋊C4C2414yes—
548C5×C22⋊C4C2414yes—
549C5×C22⋊C4C2414yes—
550C5×C22⋊C4C2414yes—
551C5×C22⋊C4C2418yes—
552C5×C22⋊C4C2418yes—
553C42×C5C2412yes—
554C42×C5C2411yescharacteristic
555C42×C5C2411yescharacteristic
556C42×C5C2414yes—
557C22⋊Dic5C2414yes—
558C22⋊Dic5C2414yes—
559C22⋊Dic5C2418yes—
560C22⋊Dic5C2414yes—
561C22⋊Dic5C2418yes—
562C22⋊Dic5C2414yes—
563C22⋊Dic5C2418yes—
564C22⋊Dic5C2418yes—
565C22⋊Dic5C2418yes—
566C22⋊Dic5C2418yes—
567C22⋊Dic5C2414yes—
568C22⋊Dic5C2414yes—
569C22⋊Dic5C2418yes—
570C22⋊Dic5C2414yes—
571C22⋊Dic5C2418yes—
572#685C2414yes—
573#685C2414yes—
574#685C2414yes—
575#685C2414yes—
576#685C2414yes—
577#685C2414yes—
578#685C2414yes—
579#685C2418yes—
580#685C2414yes—
581#685C2414yes—
582#685C2414yes—
583#685C2418yes—
584C4⋊Dic5C2414yes—
585C4⋊Dic5C2412yes—
586C4⋊Dic5C2414yes—
587C4⋊Dic5C2414yes—
588C4⋊Dic5C2418yes—
589C4⋊Dic5C2418yes—
590C4⋊Dic5C2412yes—
591C4⋊Dic5C2414yes—
592C4⋊Dic5C2418yes—
593C4⋊Dic5C2414yes—
594C4⋊Dic5C2414yes—
595#683C2414yes—
596#683C2414yes—
597#683C2414yes—
598#683C2418yes—
599#683C2414yes—
600#683C2414yes—
601#683C2418yes—
602#683C2418yes—
603#683C2414yes—
604#683C2414yes—
605#683C2414yes—
606#683C2418yes—
607#683C2414yes—
608#683C2414yes—
609C4×Dic5C2412yes—
610C4×Dic5C2414yes—
611C4×Dic5C2418yes—
612C4×Dic5C2412yes—
613C4×Dic5C2411yescharacteristic
614C4×Dic5C2412yes—
615C4×Dic5C2412yes—
616C4×Dic5C2412yes—
617C4×Dic5C2411yescharacteristic
618C4×Dic5C2414yes—
619C4×Dic5C2414yes—
620C4×Dic5C2418yes—
621C2×H(5,𝔽2)—54no—
622C22×#41—52no—
623#563—58no—
624#563—54no—
625#562—58no—
626H(3,𝔽4)—54no—
627#560—54no—
628#560C2×D514yescomplemented
629#559—54no—
630#559—51no—
631#559—54no—
632#559C2×D511yescharacteristic, complemented
633Q82—52no—
634#555—58no—
635#555—52no—
636#554—52no—
637#554—54no—
638#554—54no—
639#554—52no—
640#553—58no—
641#553—58no—
642#553—58no—
643#553—54no—
644#553—54no—
645#553—58no—
646#553—54no—
647#553—54no—
648#552—54no—
649#552—54no—
650#551—54no—
651#551—58no—
652#551—54no—
653#551—58no—
654#551—58no—
655#551—58no—
656#550—52no—
657#550C2×D512yescomplemented
658#548—54no—
659#548—54no—
660#547—58no—
661#547—58no—
662#547—58no—
663#547—58no—
664#547—54no—
665#547—54no—
666#547—54no—
667#547—54no—
668#546—54no—
669#546—58no—
670#546—54no—
671#546—54no—
672#546—58no—
673#546—58no—
674#546—58no—
675#546—58no—
676#546—58no—
677#546—58no—
678#546—58no—
679#546C2×D514yescomplemented
680D42—54no—
681D42—54no—
682D42—54no—
683D42—51no—
684D42C2×D514yescomplemented
685D42C2×D511yescharacteristic, complemented
686#544—54no—
687#544—54no—
688#542—54no—
689#542—54no—
690#542—58no—
691#542—54no—
692#542—58no—
693#542—54no—
694#540—54no—
695#540—54no—
696#540—54no—
697#540C2×D514yescomplemented
698#539—58no—
699#539—58no—
700#539—58no—
701#538—58no—
702#538—58no—
703#538—58no—
704#538—58no—
705#538—58no—
706#537—58no—
707#536—58no—
708#535—54no—
709#535C2×D514yescomplemented
710#534—54no—
711#534—58no—
712#534—58no—
713#534C2×D514yescomplemented
714#532—54no—
715#532—52no—
716#532—52no—
717#532—54no—
718#532—54no—
719#532—54no—
720#532—54no—
721C2×C4⋊Q8—51no—
722C2×#127C2×D511yescharacteristic, complemented
723#529—54no—
724#529—52no—
725#529—52no—
726#529—54no—
727#529—54no—
728#529—52no—
729#529—52no—
730#529—52no—
731#529—54no—
732#529—52no—
733#529—54no—
734#529—54no—
735#529—52no—
736#529C2×D512yescomplemented
737C2×#126—54no—
738C2×#125—52no—
739C2×#124—52no—
740C2×#124—52no—
741#525—54no—
742#525—54no—
743#525—58no—
744C2×#123—54no—
745C2×#123—54no—
746C2×#123—54no—
747C2×C22⋊Q8—52no—
748C2×#121—54no—
749C2×#121—54no—
750C2×#121—52no—
751C2×#121—54no—
752#520—54no—
753#520—54no—
754#518—54no—
755#518—54no—
756#518—54no—
757C2×C4×Q8—52no—
758C2×C4×D4—54no—
759C2×C4×D4—54no—
760C2×C4×D4—52no—
761C2×#117—54no—
762C22×C42—51no—
763C23×C5—28no—
764C23×C5—48no—
765C23×C5—44no—
766C23×C5—48no—
767C23×C5C2514yes—
768C23×C5C2514yes—
769C23×C5C2514yes—
770C23×C5C2511yescharacteristic
771C22×D5—28no—
772C22×D5—42no—
773C22×D5—44no—
774C22×D5—44no—
775C22×D5—44no—
776C22×D5—48no—
777C22×D5H(5,𝔽2)14yes—
778C22×D5C2514yes—
779C22×D5C2512yes—
780C5×Q8—24no—
781C5×D4—28no—
782C5×D4—24no—
783C5×D4—28no—
784C5×D4—28no—
785C5×D4—48no—
786C5×D4—42no—
787C5×D4—44no—
788C5×D4—42no—
789C5×D4—48no—
790C5×D4—48no—
791C5×D4—48no—
792C2×C4×C5—22no—
793C2×C4×C5—24no—
794C2×C4×C5—28no—
795C2×C4×C5—44no—
796C2×C4×C5—48no—
797C2×C4×C5C2514yes—
798C2×C4×C5C2512yes—
799C2×C4×C5C2514yes—
800C2×C4×C5C2511yescharacteristic
801C2×C4×C5C2511yescharacteristic
802C2×C4×C5C2514yes—
803C2×C4×C5C2512yes—
804C22⋊D5—28no—
805C22⋊D5—216no—
806C22⋊D5—28no—
807C22⋊D5—216no—
808C22⋊D5—48no—
809C22⋊D5—48no—
810C22⋊D5—44no—
811C22⋊D5—48no—
812C22⋊D5—48no—
813C2×Dic5—28no—
814C2×Dic5—22no—
815C2×Dic5—42no—
816C2×Dic5—44no—
817C2×Dic5—48no—
818C2×Dic5—48no—
819C2×Dic5—48no—
820C2×Dic5—44no—
821C2×Dic5—48no—
822C2×Dic5C2512yes—
823C2×Dic5C2514yes—
824C2×Dic5C2512yes—
825C2×Dic5C2512yes—
826C2×Dic5C2514yes—
827C2×Dic5C2514yes—
828C2×Dic5C2518yes—
829D20—28no—
830D20—24no—
831C4×D5—24no—
832C4×D5—24no—
833C4×D5—28no—
834C4×D5—24no—
835C4×D5—28no—
836C4×D5—24no—
837C4×D5—42no—
838C4×D5—44no—
839C4×D5—42no—
840C4×D5—44no—
841C4×D5—48no—
842C4×D5—44no—
843Dic10—24no—
844Dic10—44no—
845Dic10—44no—
846Dic10—48no—
847Dic10—44no—
848H(5,𝔽2)—2016no—
849C2×#41—54no—
850C2×#41—58no—
851C2×#41—54no—
852C2×#41—58no—
853C2×#41—54no—
854C2×#41—58no—
855C2×#41—58no—
856C2×#41—208no—
857C2×#41C22×D514yes—
858C22×Q8—52no—
859C22×Q8—52no—
860C22×D4—54no—
861C22×D4—58no—
862C22×D4—54no—
863C22×D4—54no—
864C22×D4—52no—
865C22×D4—54no—
866C22×D4—58no—
867C22×D4C22×D514yes—
868C22×D4C22×D514yes—
869C22×D4C22×D514yes—
870C22×D4C22×D512yes—
871C23×C4—54no—
872C23×C4—51no—
873C23×C4—54no—
874C23×C4—52no—
875C4⋊Q8—54no—
876C4⋊Q8—58no—
877C4⋊Q8—58no—
878C4⋊Q8—54no—
879C4⋊Q8—52no—
880C4⋊Q8—52no—
881C4⋊Q8—54no—
882#127—54no—
883#127C22×D514yes—
884#127C22×D511yescharacteristic
885#127C22×D511yescharacteristic
886#127C22×D512yes—
887#127C22×D514yes—
888#126—54no—
889#126—54no—
890#126—54no—
891#126—58no—
892#126—54no—
893#126—54no—
894#126—54no—
895#126—58no—
896#126—58no—
897#126—58no—
898#126—58no—
899#126—58no—
900#126—54no—
901#126C22×D514yes—
902#125—54no—
903#125—52no—
904#125—52no—
905#125—54no—
906#125—54no—
907#125—58no—
908#125—58no—
909#125—52no—
910#125—54no—
911#125C22×D512yes—
912#124—52no—
913#124—52no—
914#124—54no—
915#124—54no—
916#124—54no—
917#124—54no—
918#124—54no—
919#124—58no—
920#124—58no—
921#124—54no—
922#124—54no—
923#124—58no—
924#124—58no—
925#124—58no—
926#124—58no—
927#124—52no—
928#124C22×D512yes—
929#124C22×D514yes—
930#123—54no—
931#123—58no—
932#123—58no—
933#123—58no—
934#123—58no—
935#123—58no—
936#123—54no—
937#123—54no—
938#123—58no—
939#123—58no—
940#123—54no—
941#123—58no—
942#123—54no—
943#123—54no—
944#123—54no—
945#123—54no—
946#123—54no—
947#123—58no—
948#123—58no—
949#123—58no—
950#123—58no—
951#123—58no—
952#123—58no—
953#123—58no—
954#123—58no—
955#123—58no—
956#123C22×D514yes—
957#123C22×D514yes—
958#123C22×D514yes—
959#123C22×D518yes—
960C22⋊Q8—52no—
961C22⋊Q8—54no—
962C22⋊Q8—52no—
963C22⋊Q8—54no—
964C22⋊Q8—58no—
965C22⋊Q8—58no—
966C22⋊Q8—52no—
967C22⋊Q8—54no—
968C22⋊Q8—58no—
969C22⋊Q8—58no—
970C22⋊Q8—58no—
971C22⋊Q8—54no—
972C22⋊Q8—58no—
973C22⋊Q8—58no—
974C22⋊Q8—58no—
975C22⋊Q8—58no—
976C22⋊Q8—58no—
977C22⋊Q8—58no—
978C22⋊Q8—58no—
979C22⋊Q8C22×D512yes—
980#121—52no—
981#121—54no—
982#121—54no—
983#121—54no—
984#121—58no—
985#121—54no—
986#121—54no—
987#121—58no—
988#121—58no—
989#121—58no—
990#121—58no—
991#121—54no—
992#121—54no—
993#121—58no—
994#121—58no—
995#121—54no—
996#121—58no—
997#121—58no—
998#121—58no—
999#121—58no—
1000#121—58no—
1001#121—58no—
1002#121—58no—
1003#121—52no—
1004#121—54no—
1005#121—52no—
1006#121—54no—
1007#121—58no—
1008#121—58no—
1009#121C22×D512yes—
1010#121C22×D514yes—
1011#121C22×D514yes—
1012#121C22×D518yes—
1013#121C22×D518yes—
1014#121C22×D518yes—
1015#121C22×D518yes—
1016#120—58no—
1017#120—58no—
1018#120—58no—
1019#120—58no—
1020#120—54no—
1021#120—58no—
1022#120—54no—
1023#120—58no—
1024#120C22×D518yes—
1025#120C22×D518yes—
1026#120C22×D514yes—
1027#120C22×D514yes—
1028C4×Q8—52no—
1029C4×Q8—54no—
1030C4×Q8—52no—
1031C4×Q8—54no—
1032C4×Q8—52no—
1033C4×Q8—54no—
1034C4×Q8—54no—
1035C4×Q8C22×D512yes—
1036C4×D4—52no—
1037C4×D4—54no—
1038C4×D4—54no—
1039C4×D4—54no—
1040C4×D4—58no—
1041C4×D4—54no—
1042C4×D4—54no—
1043C4×D4—58no—
1044C4×D4—58no—
1045C4×D4—58no—
1046C4×D4—54no—
1047C4×D4—54no—
1048C4×D4—58no—
1049C4×D4—54no—
1050C4×D4—58no—
1051C4×D4—54no—
1052C4×D4—54no—
1053C4×D4—54no—
1054C4×D4—58no—
1055C4×D4—58no—
1056C4×D4—58no—
1057C4×D4—58no—
1058C4×D4—52no—
1059C4×D4—54no—
1060C4×D4—54no—
1061C4×D4—54no—
1062C4×D4—54no—
1063C4×D4—58no—
1064C4×D4—58no—
1065C4×D4—58no—
1066C4×D4—58no—
1067C4×D4—54no—
1068C4×D4—52no—
1069C4×D4—54no—
1070C4×D4C22×D514yes—
1071C4×D4C22×D512yes—
1072C4×D4C22×D514yes—
1073C4×D4C22×D514yes—
1074#117—54no—
1075#117—54no—
1076#117—58no—
1077#117—54no—
1078#117—54no—
1079#117—54no—
1080#117—54no—
1081#117—54no—
1082#117—58no—
1083#117—58no—
1084#117—54no—
1085#117—54no—
1086#117C22×D514yes—
1087C2×C4⋊C4—54no—
1088C2×C4⋊C4—54no—
1089C2×C4⋊C4—58no—
1090C2×C4⋊C4—58no—
1091C2×C4⋊C4—54no—
1092C2×C4⋊C4—54no—
1093C2×C4⋊C4—52no—
1094C2×C4⋊C4—54no—
1095C2×C4⋊C4—52no—
1096C2×C4⋊C4—54no—
1097C2×C4⋊C4—54no—
1098C2×C22⋊C4—58no—
1099C2×C22⋊C4—58no—
1100C2×C22⋊C4—54no—
1101C2×C22⋊C4—58no—
1102C2×C22⋊C4—58no—
1103C2×C22⋊C4—54no—
1104C2×C22⋊C4—54no—
1105C2×C22⋊C4—54no—
1106C2×C22⋊C4—54no—
1107C2×C22⋊C4—54no—
1108C2×C22⋊C4—58no—
1109C2×C22⋊C4C22×D514yes—
1110C2×C42—52no—
1111C2×C42—51no—
1112C2×C42—52no—
1113C2×C42—54no—
1114C2×C42—52no—
1115C2×C42—52no—
1116C2×C42—52no—
1117C2×C42C22×D511yescharacteristic
1118C22×C5—22no—
1119C22×C5—24no—
1120C22×C5—24no—
1121C22×C5—24no—
1122C22×C5—28no—
1123C22×C5—24no—
1124C22×C5—28no—
1125C22×C5—24no—
1126C22×C5—88no—
1127C22×C5—164no—
1128C22×C5C2×H(5,𝔽2)12yes—
1129C22×C5C2611yescharacteristic
1130C2×D5—22no—
1131C2×D5—22no—
1132C2×D5—24no—
1133C2×D5—24no—
1134C2×D5—24no—
1135C2×D5—44no—
1136C2×D5—88no—
1137C2×D5—164no—
1138C2×D5C2×H(5,𝔽2)14yes—
1139C4×C5—21no—
1140C4×C5—21no—
1141C4×C5—24no—
1142C4×C5—24no—
1143C4×C5—24no—
1144C4×C5—22no—
1145C4×C5#58514yes—
1146Dic5—28no—
1147Dic5—24no—
1148Dic5—22no—
1149Dic5—24no—
1150Dic5—22no—
1151Dic5—22no—
1152Dic5—24no—
1153C24—51no—
1154C24—54no—
1155C24—54no—
1156C24C23×D514yes—
1157C24C23×D514yes—
1158#41—48no—
1159#41—2016no—
1160#41—2016no—
1161#41—208no—
1162#41—208no—
1163#41—2016no—
1164#41—208no—
1165#41—2016no—
1166C2×Q8—52no—
1167C2×Q8—54no—
1168C2×Q8—58no—
1169C2×Q8—54no—
1170C2×Q8—54no—
1171C2×Q8—204no—
1172C2×Q8—204no—
1173C2×Q8C23×D512yes—
1174C2×D4—48no—
1175C2×D4—48no—
1176C2×D4—44no—
1177C2×D4—48no—
1178C2×D4—54no—
1179C2×D4—58no—
1180C2×D4—58no—
1181C2×D4—54no—
1182C2×D4—58no—
1183C2×D4—54no—
1184C2×D4—58no—
1185C2×D4—58no—
1186C2×D4—58no—
1187C2×D4—52no—
1188C2×D4—54no—
1189C2×D4—1016no—
1190C2×D4—1016no—
1191C2×D4—204no—
1192C2×D4—208no—
1193C2×D4—2016no—
1194C2×D4—208no—
1195C2×D4—2016no—
1196C2×D4C23×D512yes—
1197C2×D4C23×D514yes—
1198C2×D4C23×D514yes—
1199C2×D4C23×D514yes—
1200C2×D4C23×D518yes—
1201C2×D4C23×D518yes—
1202C2×D4C23×D518yes—
1203C2×D4C23×D512yes—
1204C2×D4C23×D514yes—
1205C2×D4C23×D512yes—
1206C2×D4C23×D518yes—
1207C22×C4—51no—
1208C22×C4—54no—
1209C22×C4—52no—
1210C22×C4—58no—
1211C22×C4—54no—
1212C22×C4—58no—
1213C22×C4—58no—
1214C22×C4—58no—
1215C22×C4—54no—
1216C22×C4—52no—
1217C22×C4—52no—
1218C22×C4—52no—
1219C22×C4—52no—
1220C22×C4—54no—
1221C22×C4—54no—
1222C22×C4—52no—
1223C22×C4—52no—
1224C22×C4—54no—
1225C22×C4—54no—
1226C22×C4—54no—
1227C22×C4—58no—
1228C22×C4—104no—
1229C22×C4—204no—
1230C22×C4—208no—
1231C22×C4—208no—
1232C22×C4C23×D512yes—
1233C22×C4C23×D511yescharacteristic
1234C22×C4C23×D514yes—
1235C22×C4C23×D518yes—
1236C22×C4C23×D514yes—
1237C4⋊C4—54no—
1238C4⋊C4—54no—
1239C4⋊C4—52no—
1240C4⋊C4—54no—
1241C4⋊C4—54no—
1242C4⋊C4—54no—
1243C4⋊C4—54no—
1244C4⋊C4—58no—
1245C4⋊C4—58no—
1246C4⋊C4—54no—
1247C4⋊C4—54no—
1248C4⋊C4—52no—
1249C4⋊C4—54no—
1250C4⋊C4—54no—
1251C4⋊C4—54no—
1252C4⋊C4—54no—
1253C4⋊C4—54no—
1254C4⋊C4—58no—
1255C4⋊C4—54no—
1256C4⋊C4—58no—
1257C4⋊C4—58no—
1258C4⋊C4—54no—
1259C4⋊C4—54no—
1260C4⋊C4—58no—
1261C4⋊C4—58no—
1262C4⋊C4C23×D512yes—
1263C4⋊C4C23×D512yes—
1264C4⋊C4C23×D514yes—
1265C4⋊C4C23×D514yes—
1266C4⋊C4C23×D514yes—
1267C4⋊C4C23×D514yes—
1268C22⋊C4—54no—
1269C22⋊C4—54no—
1270C22⋊C4—54no—
1271C22⋊C4—54no—
1272C22⋊C4—58no—
1273C22⋊C4—58no—
1274C22⋊C4—58no—
1275C22⋊C4—58no—
1276C22⋊C4—54no—
1277C22⋊C4—58no—
1278C22⋊C4—58no—
1279C22⋊C4—58no—
1280C22⋊C4—54no—
1281C22⋊C4—54no—
1282C22⋊C4—58no—
1283C22⋊C4—54no—
1284C22⋊C4—54no—
1285C22⋊C4—54no—
1286C22⋊C4—58no—
1287C22⋊C4—54no—
1288C22⋊C4—54no—
1289C22⋊C4—54no—
1290C22⋊C4—54no—
1291C22⋊C4—54no—
1292C22⋊C4—54no—
1293C22⋊C4—58no—
1294C22⋊C4—54no—
1295C22⋊C4C23×D514yes—
1296C22⋊C4C23×D514yes—
1297C22⋊C4C23×D514yes—
1298C22⋊C4C23×D514yes—
1299C22⋊C4C23×D514yes—
1300C22⋊C4C23×D518yes—
1301C22⋊C4C23×D514yes—
1302C22⋊C4C23×D514yes—
1303C22⋊C4C23×D518yes—
1304C42—51no—
1305C42—52no—
1306C42—52no—
1307C42—52no—
1308C42—52no—
1309C42—52no—
1310C42—51no—
1311C42—54no—
1312C42—54no—
1313C42—54no—
1314C42—58no—
1315C42—58no—
1316C42C23×D512yes—
1317C42C23×D511yescharacteristic
1318C42C23×D511yescharacteristic
1319C42C23×D514yes—
1320C2×C5—22no—
1321C2×C5—44no—
1322C2×C5—44no—
1323C2×C5—44no—
1324C2×C5C22×H(5,𝔽2)11yescharacteristic
1325C2×C5C2×#58512yes—
1326D5—24no—
1327D5—44no—
1328C23—28no—
1329C23—48no—
1330C23—44no—
1331C23—48no—
1332C23—52no—
1333C23—54no—
1334C23—54no—
1335C23—108no—
1336C23—202no—
1337C23—204no—
1338C23—204no—
1339C23—204no—
1340C23—208no—
1341C23C24×D514yes—
1342C23C24×D514yes—
1343C23C24×D514yes—
1344C23C24×D511yescharacteristic
1345Q8—24no—
1346Q8—104no—
1347Q8—204no—
1348Q8—204no—
1349Q8—204no—
1350Q8—208no—
1351D4—28no—
1352D4—24no—
1353D4—28no—
1354D4—28no—
1355D4—48no—
1356D4—42no—
1357D4—44no—
1358D4—42no—
1359D4—48no—
1360D4—48no—
1361D4—48no—
1362D4—108no—
1363D4—108no—
1364D4—1016no—
1365D4—1016no—
1366D4—108no—
1367D4—104no—
1368D4—208no—
1369D4—208no—
1370D4—208no—
1371D4—204no—
1372D4—208no—
1373C2×C4—22no—
1374C2×C4—24no—
1375C2×C4—28no—
1376C2×C4—44no—
1377C2×C4—48no—
1378C2×C4—52no—
1379C2×C4—52no—
1380C2×C4—54no—
1381C2×C4—52no—
1382C2×C4—54no—
1383C2×C4—58no—
1384C2×C4—54no—
1385C2×C4—104no—
1386C2×C4—104no—
1387C2×C4—108no—
1388C2×C4—102no—
1389C2×C4—108no—
1390C2×C4—104no—
1391C2×C4—104no—
1392C2×C4—108no—
1393C2×C4—204no—
1394C2×C4—204no—
1395C2×C4—202no—
1396C2×C4—202no—
1397C2×C4—208no—
1398C2×C4—204no—
1399C2×C4—208no—
1400C2×C4—208no—
1401C2×C4—204no—
1402C2×C4—202no—
1403C2×C4—204no—
1404C2×C4—208no—
1405C2×C4—208no—
1406C2×C4C24×D514yes—
1407C2×C4C24×D512yes—
1408C2×C4C24×D511yescharacteristic
1409C2×C4C24×D511yescharacteristic
1410C2×C4C24×D514yes—
1411C2×C4C24×D514yes—
1412C2×C4C24×D512yes—
1413C5#6282211yescharacteristic, complemented, Sylow
1414C22—22no—
1415C22—24no—
1416C22—28no—
1417C22—28no—
1418C22—24no—
1419C22—24no—
1420C22—24no—
1421C22—24no—
1422C22—54no—
1423C22—88no—
1424C22—102no—
1425C22—102no—
1426C22—104no—
1427C22—104no—
1428C22—104no—
1429C22—164no—
1430C22—204no—
1431C22—408no—
1432C22—804no—
1433C22D5×H(5,𝔽2)12yes—
1434C22C25×D511yescharacteristic
1435C4—24no—
1436C4—22no—
1437C4—24no—
1438C4—21no—
1439C4—21no—
1440C4—24no—
1441C4—102no—
1442C4—104no—
1443C4—102no—
1444C4—104no—
1445C4—102no—
1446C4—104no—
1447C4—108no—
1448C4#6628514yes—
1449C2—22no—
1450C2—44no—
1451C2—44no—
1452C2—44no—
1453C2—104no—
1454C2—204no—
1455C2C2×#6628512yes—
1456C2C2×D5×H(5,𝔽2)11yescharacteristic
subgroupG/H
center, FrattiniC22C25×D5
commutator, socle, cosocleC22×C5C26
FittingC5×#3543C2
hypercenter#3543D5
hypocenterC5#62822
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22 ◁ #3543

Complements

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

NH ≅ G/Ntype
1. C5×#3543C2semidirect
2. #10618985C2semidirect
3. #10618956C2semidirect
4. #10618677C2semidirect
5. #10618676C2semidirect
6. #10618567C2semidirect
7. #10618535C2semidirect
8. #10618522C2semidirect
9. #10618513C2semidirect
10. #10618510C2semidirect
11. #10618395C2semidirect
12. #10618386C2semidirect
13. #10618238C2semidirect
14. #10618233C2semidirect
15. #10618205C2semidirect
16. #10618197C2semidirect
17. #10618098C2semidirect
18. C2×#66050C2semidirect
19. D5×#529C2semidirect
20. #10618034C2semidirect
21. C2×#4144C22semidirect
22. C22×#711C22semidirect
23. C5×#560C22semidirect
24. C5×#559C22semidirect
25. C5×#550C22semidirect
26. C5×#546C22semidirect
27. C5×D42C22semidirect
28. C5×D42C22semidirect
29. C5×#540C22semidirect
30. C5×#535C22semidirect
31. C5×#534C22semidirect
32. C2×C5×#127C22semidirect
33. C5×#529C22semidirect
34. #66165C22semidirect
35. #66163C22semidirect
36. #66162C22semidirect
37. #66161C22semidirect
38. #66140C22semidirect
39. #66140C22semidirect
40. #66140C22semidirect
41. #66138C22semidirect
42. D4×C22⋊D5C22semidirect
43. D4×C22⋊D5C22semidirect
44. C2×#4084C22semidirect
45. C2×#4084C22semidirect
46. #66132C22semidirect
47. C2×#4082C22semidirect
48. C2×#4081C22semidirect
49. C2×D4×Dic5C22semidirect
50. #66054C22semidirect
51. #66053C22semidirect
52. #66053C22semidirect
53. #66052C22semidirect
54. #66051C22semidirect
55. #66051C22semidirect
56. #66050C22semidirect
57. #66050C22semidirect
58. #66050C22semidirect
59. #66050C22semidirect
60. #66050C22semidirect
61. #66050C22semidirect
62. #66049C22semidirect
63. #66047C22semidirect
64. #66047C22semidirect
65. #66046C22semidirect
66. #66040C22semidirect
67. D5×#126C22semidirect
68. #66025C22semidirect
69. #66023C22semidirect
70. D5×#125C22semidirect
71. #66016C22semidirect
72. #66016C22semidirect
73. #66015C22semidirect
74. #66014C22semidirect
75. #66014C22semidirect
76. #66011C22semidirect
77. D5×#124C22semidirect
78. #65999C22semidirect
79. #65996C22semidirect
80. #65995C22semidirect
81. #65994C22semidirect
82. #65993C22semidirect
83. #65992C22semidirect
84. #65989C22semidirect
85. #65989C22semidirect
86. D5×#123C22semidirect
87. #65985C22semidirect
88. #65983C22semidirect
89. #65982C22semidirect
90. #65976C22semidirect
91. D5×C22⋊Q8C22semidirect
92. #65958C22semidirect
93. #65955C22semidirect
94. #65953C22semidirect
95. #65952C22semidirect
96. #65952C22semidirect
97. #65951C22semidirect
98. #65950C22semidirect
99. #65948C22semidirect
100. #65948C22semidirect
101. #65948C22semidirect
102. #65947C22semidirect
103. #65947C22semidirect
104. #65946C22semidirect
105. #65945C22semidirect
106. #65945C22semidirect
107. #65945C22semidirect
108. #65945C22semidirect
109. #65944C22semidirect
110. #65944C22semidirect
111. #65942C22semidirect
112. #65940C22semidirect
114. D5×#121C22semidirect
115. #65937C22semidirect
116. #65937C22semidirect
117. #65936C22semidirect
118. #65935C22semidirect
119. #65934C22semidirect
120. #65928C22semidirect
121. #65927C22semidirect
122. #65927C22semidirect
123. #65925C22semidirect
124. #65925C22semidirect
125. #65925C22semidirect
126. #65925C22semidirect
127. #65923C22semidirect
128. #65923C22semidirect
129. #65921C22semidirect
130. #65921C22semidirect
131. #65921C22semidirect
132. #65920C22semidirect
133. #65914C22semidirect
134. #65913C22semidirect
135. C4×Q8×D5C22semidirect
136. Q8×Dic10C22semidirect
137. #65897C22semidirect
138. #65892C22semidirect
139. #65891C22semidirect
140. #65891C22semidirect
141. #65889C22semidirect
142. #65885C22semidirect
143. #65882C22semidirect
144. #65880C22semidirect
145. #65879C22semidirect
146. C4×D4×D5C22semidirect
147. C4×D4×D5C22semidirect
148. #65877C22semidirect
149. #65877C22semidirect
150. #65875C22semidirect
151. #65873C22semidirect
152. #65872C22semidirect
153. #65868C22semidirect
154. #65862C22semidirect
155. D5×#117C22semidirect
156. #65853C22semidirect
157. #65829C22semidirect
158. C2×#4032C22semidirect
159. #65820C22semidirect
160. #65813C22semidirect
161. C2×C42×D5C22semidirect
162. C2×#4015C22semidirect
440. #3543D5semidirect
628. #560C2×D5semidirect
632. #559C2×D5semidirect
657. #550C2×D5semidirect
679. #546C2×D5semidirect
684. D42C2×D5semidirect
685. D42C2×D5semidirect
697. #540C2×D5semidirect
709. #535C2×D5semidirect
713. #534C2×D5semidirect
722. C2×#127C2×D5semidirect
736. #529C2×D5semidirect
1413. C5#62822semidirect

Maximal subgroups

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

subgroupindex
C5×#35432
#106189852
#106189562
#106186772
#106186762
#106185672
#106185352
#106185222
#106185132
#106185102
#106183952
#106183862
#106182382
#106182332
#106182052
#106181972
#106180982
C2×#660502
D5×#5292
#106180342
#628225