Finite Group Databasebeta

← #13007677

Subgroups — #13007677

Order 1280.

7856 conjugacy classes of subgroups.

The subgroup lattice has 1394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3488C211yesmaximal, characteristic, complemented
2#10619183C211yesmaximal, characteristic, complemented
3Dic5×H(5,𝔽2)C211yesmaximal, characteristic, complemented
4#10619176C211yesmaximal, characteristic, complemented
5C2×#41×Dic5C211yesmaximal, characteristic, complemented
6#10618673C212yesmaximal, complemented
7#10618669C212yesmaximal, complemented
8#10618623C212yesmaximal, complemented
9#10618612C212yesmaximal, complemented
10#10618538C216yesmaximal, complemented
11#10618529C216yesmaximal, complemented
12#10618512C216yesmaximal, complemented
13D4×#711C216yesmaximal, complemented
14#10618269C213yesmaximal, complemented
15#10618265C213yesmaximal, complemented
16#10618220C213yesmaximal, complemented
17#10618215C213yesmaximal, complemented
18#10617928C213yesmaximal, complemented
19#10617919C213yesmaximal, complemented
20#10617837C213yesmaximal, complemented
21C2×#65930C213yesmaximal, complemented
22#10617790C211yesmaximal, characteristic, complemented
23#10617787C211yesmaximal, characteristic, complemented
24C2×C5×H(5,𝔽2)C2211yescharacteristic
25C22×C5×#41C2211yescharacteristic
26C2×#4149C2211yescharacteristic
27C22×#711C2216yescomplemented
28C5×#550C2212yescomplemented
29C5×#548C2212yescomplemented
30C5×#546C2216yescomplemented
31C5×D42C2216yescomplemented
32C5×#537C2213yescomplemented
33C5×#535C2213yescomplemented
34C5×#525C2213yescomplemented
35C2×C5×#121C2213yescomplemented
36C5×#520C2211yescharacteristic
37#66168C2212yescomplemented
38#66168C2212yescomplemented
39#66168C2212yescomplemented
40#66167C2213yescomplemented
41#66166C2213yescomplemented
42#66164C2213yescomplemented
43#66164C2213yescomplemented
44#66163C2216yescomplemented
45#66161C2211yescharacteristic
46#66161C2212yescomplemented
47#66161C2213yescomplemented
48#41×Dic5C2211yescharacteristic
49#41×Dic5C2211yescharacteristic
50#41×Dic5C2211yescharacteristic, complemented
51#41×Dic5C2211yescharacteristic, complemented
52#41×Dic5C2213yescomplemented
53#41×Dic5C2213yescomplemented
54#41×Dic5C2213yescomplemented
55#41×Dic5C2213yescomplemented
56#41×Dic5C2212yescomplemented
57#41×Dic5C2213yescomplemented
58#66151C2212yescomplemented
59C2×Q8×Dic5C2211yescharacteristic, complemented
60C2×Q8×Dic5C2211yescharacteristic, complemented
61#66140C22112yescomplemented
62#66139C2213yescomplemented
63C2×#4086C2213yescomplemented
64C2×#4085C2216yescomplemented
65D4×C22⋊D5C2216yescomplemented
66D4×C22⋊D5C2216yescomplemented
67D4×C22⋊D5C2216yescomplemented
68#66132C2213yescomplemented
69#66132C2216yescomplemented
70C2×D4×Dic5C2213yescomplemented
71C2×D4×Dic5C2213yescomplemented
72C2×D4×Dic5C2213yescomplemented
73C2×D4×Dic5C2216yescomplemented
74#66125C2213yescomplemented
75C2×#4076C2213yescomplemented
76C2×#4072C2213yescomplemented
77C22×C4×Dic5C2213yescomplemented
78#66053C2216yescomplemented
79#66052C2216yescomplemented
80#66052C2216yescomplemented
81#66050C2216yescomplemented
82#66016C2216yescomplemented
83#66015C2216yescomplemented
84#66015C2216yescomplemented
85#66014C2216yescomplemented
86#65992C22112yescomplemented
87#65983C2216yescomplemented
88#65983C2216yescomplemented
89#65977C2216yescomplemented
90#65977C2216yescomplemented
91#65975C2216yescomplemented
92#65969C2216yescomplemented
93#65958C2213yescomplemented
94#65958C2213yescomplemented
95#65958C2216yescomplemented
96#65956C2211yescharacteristic, complemented
97#65956C2213yescomplemented
98#65953C2216yescomplemented
99#65953C2216yescomplemented
100#65953C2216yescomplemented
101#65952C2216yescomplemented
102#65951C22112yescomplemented
103#65950C2216yescomplemented
104#65950C2216yescomplemented
105#65948C2216yescomplemented
106#65945C2216yescomplemented
107#65945C2216yescomplemented
108#65940C22112yescomplemented
109#65937C2216yescomplemented
110#65935C22112yescomplemented
111#65934C2213yescomplemented
112#65934C2213yescomplemented
113#65932C22112yescomplemented
114#65930C2216yescomplemented
115#65930C2216yescomplemented
116#65930C2216yescomplemented
117#65930C2213yescomplemented
118#65930C2213yescomplemented
119#65930C2216yescomplemented
120#65930C2216yescomplemented
121#65930C2216yescomplemented
122#65930C2216yescomplemented
123#65930C2216yescomplemented
124#65927C22112yescomplemented
125#65925C22112yescomplemented
126#65925C22112yescomplemented
127#65925C22112yescomplemented
128#65920C2216yescomplemented
129#65920C2216yescomplemented
130#65920C22112yescomplemented
131#65908C2212yescomplemented
132C4×#713C2212yescomplemented
133#65903C2212yescomplemented
134Q8×Dic10C2212yescomplemented
135#65899C2216yescomplemented
136#65899C2216yescomplemented
137#65897C2216yescomplemented
138#65889C2216yescomplemented
139#65879C2216yescomplemented
140C4×D4×D5C2216yescomplemented
141#65873C2216yescomplemented
142#65872C2216yescomplemented
143#65872C2216yescomplemented
144D4×Dic10C2216yescomplemented
145C4×#711C2216yescomplemented
146C4×#711C2216yescomplemented
147#65856C2213yescomplemented
148#65855C2213yescomplemented
149#65853C2213yescomplemented
150#65851C2213yescomplemented
151#65838C2213yescomplemented
152C2×#4039C2213yescomplemented
153#65834C2213yescomplemented
154C2×#4034C2213yescomplemented
155#65829C22112yescomplemented
156C2×#4031C2216yescomplemented
157C2×#4027C2216yescomplemented
158#62800—51nomaximal, Sylow
159C5×H(5,𝔽2)—28no—
160C2×C5×#41—28no—
161C2×C5×#41C2313yes—
162C2×C5×#41C2313yes—
163C2×C5×#41C2311yescharacteristic
164C2×C5×#41C2313yes—
165C2×C5×#41C2312yes—
166C2×C5×#41C2311yescharacteristic
167C22×C5×Q8C2311yescharacteristic
168C22×C5×D4C2313yes—
169C22×C5×D4C2316yes—
170C22×C5×D4C2313yes—
171C22×C5×D4C2316yes—
172C23×C4×C5C2313yes—
173C22×C22⋊D5C2316yes—
174C22×C22⋊D5C2316yes—
175C22×C22⋊D5C2316yes—
176C23×Dic5C2313yes—
177C23×Dic5C2316yes—
178C23×Dic5C2313yes—
179#4149—28no—
180C2×#713C2312yes—
181C2×#711—424no—
182C2×#711C2316yes—
183C2×#711C23112yes—
184C2×#711C2316yes—
185C2×#711C23112yes—
186C2×#711C23112yes—
187C2×D4×D5C2316yes—
188C2×#709C2313yes—
189C22×D20C2313yes—
190C22×C4×D5C2316yes—
191C22×Dic10C2316yes—
192C5×#127C2316yes—
193C5×#124C2316yes—
194C5×#123C2316yes—
195C5×C22⋊Q8C2311yescharacteristic
196C5×C22⋊Q8C2313yes—
197C5×C22⋊Q8C2316yes—
198C5×#121C2313yes—
199C5×#121C2316yes—
200C5×#121C2316yes—
201C5×#121C2316yes—
202C5×#121C2313yes—
203C5×#121C2316yes—
204C5×#121C23112yes—
205C5×#120C2316yes—
206C5×#120C23112yes—
207C4×C5×Q8C2312yes—
208C4×C5×D4C2316yes—
209C4×C5×D4C2316yes—
210C4×C5×D4C2316yes—
211C5×#117C2313yes—
212C2×C5×C4⋊C4C2313yes—
213C2×C5×C22⋊C4C2316yes—
214#4099C23112yes—
215#4099C2316yes—
216C2×C22⋊Dic5C2316yes—
217C2×C22⋊Dic5C23112yes—
218C2×C22⋊Dic5C2316yes—
219#4093C2316yes—
220#4093C2313yes—
221#4092C2316yes—
222Q8×Dic5C2311yescharacteristic
223Q8×Dic5C2311yescharacteristic
224Q8×Dic5C2311yescharacteristic
225Q8×Dic5C2311yescharacteristic
226Q8×Dic5C2313yes—
227Q8×Dic5C2313yes—
228Q8×Dic5C2313yes—
229Q8×Dic5C2313yes—
230Q8×Dic5C2312yes—
231Q8×Dic5C2311yescharacteristic
232Q8×Dic5C2313yes—
233#4090C2311yescharacteristic
234#4086C2316yes—
235#4086C2316yes—
236#4086C2316yes—
237#4086C2313yes—
238#4086C2316yes—
239#4085C2316yes—
240#4085C23112yes—
241#4085C23112yes—
242#4085C23112yes—
243#4085C23112yes—
244#4085C2316yes—
245#4085C2316yes—
246#4085C2316yes—
247#4085C23112yes—
248#4085C23112yes—
249#4084C23112yes—
250#4084C2316yes—
251#4084C2316yes—
252#4084C23112yes—
253#4084C2316yes—
254#4083C23112yes—
255#4083C23112yes—
256#4082C23112yes—
257#4082C2313yes—
258#4081C2316yes—
259#4081C23112yes—
260#4081C2316yes—
261D4×Dic5C2316yes—
262D4×Dic5C2313yes—
263D4×Dic5C2316yes—
264D4×Dic5C2313yes—
265D4×Dic5C2313yes—
266D4×Dic5C2316yes—
267D4×Dic5C2316yes—
268D4×Dic5C2313yes—
269D4×Dic5C2316yes—
270D4×Dic5C2316yes—
271D4×Dic5C2313yes—
272D4×Dic5C2316yes—
273D4×Dic5C2313yes—
274D4×Dic5C2313yes—
275D4×Dic5C2316yes—
276D4×Dic5C2313yes—
277D4×Dic5C2313yes—
278D4×Dic5C23112yes—
279D4×Dic5C2316yes—
280D4×Dic5C2316yes—
281D4×Dic5C2316yes—
282D4×Dic5C2316yes—
283D4×Dic5C2316yes—
284D4×Dic5C2316yes—
285D4×Dic5C2313yes—
286#4076C2313yes—
287#4076C2316yes—
288#4076C2316yes—
289#4076C2316yes—
290#4076C2313yes—
291#4076C2316yes—
292#4076C2316yes—
293#4075C2316yes—
294C4×C22⋊D5C23112yes—
295C4×C22⋊D5C2316yes—
296C4×C22⋊D5C2316yes—
297C4×C22⋊D5C2316yes—
298C4×C22⋊D5C2316yes—
299C2×#685C2316yes—
300C2×#685C2316yes—
301#4072C2316yes—
302#4072C2313yes—
303#4072C2313yes—
304#4072C2313yes—
305#4072C2313yes—
306#4072C2313yes—
307#4072C2316yes—
308#4072C2316yes—
309#4072C2316yes—
310C2×C4⋊Dic5C2313yes—
311C2×C4⋊Dic5C2313yes—
312C2×C4⋊Dic5C2313yes—
313C2×C4⋊Dic5C2316yes—
314#4070C23112yes—
315#4070C2311yescharacteristic
316#4070C2313yes—
317C2×#683C2316yes—
318C2×C4×Dic5C2313yes—
319C2×C4×Dic5C2313yes—
320C2×C4×Dic5C2313yes—
321C2×C4×Dic5C2313yes—
322C2×C4×Dic5C2311yescharacteristic
323C2×C4×Dic5C2313yes—
324C2×C4×Dic5C2313yes—
325C2×C4×Dic5C2313yes—
326C2×C4×Dic5C2313yes—
327C2×C4×Dic5C2313yes—
328C2×C4×Dic5C2313yes—
329C2×C4×Dic5C2313yes—
330C2×C4×Dic5C2316yes—
331#4044C2316yes—
332#4044C2316yes—
333#4044C23112yes—
334#4043C23112yes—
335#4039C2313yes—
336#4039C2316yes—
337#4039C2316yes—
338#4039C2316yes—
339#4039C2313yes—
340#4038C2316yes—
341#4038C2316yes—
342#4038C2316yes—
343D5×C4⋊C4C2316yes—
344#4036C2313yes—
345#4036C2316yes—
346#4036C2313yes—
347#4035C2312yes—
348#4035C2316yes—
349#4034C2313yes—
350#4034C2316yes—
351#4034C2316yes—
352#4034C2316yes—
353#4034C2316yes—
354#4034C2311yescharacteristic
355#4033C2313yes—
356#4033C2311yescharacteristic
357#4033C2312yes—
358#4033C2316yes—
359#4032C23112yes—
360#4032C2316yes—
361#4032C2316yes—
362#4032C23112yes—
363#4031C2316yes—
364#4031C23112yes—
365#4031C23112yes—
366#4031C23112yes—
367#4031C2316yes—
368#4031C23112yes—
369#4029C23112yes—
370#4029C23112yes—
371#4029C23112yes—
372#4027C2316yes—
373#4027C23112yes—
374#4027C23112yes—
375#4027C23112yes—
376#4027C2316yes—
377#4027C2316yes—
378#4027C2316yes—
379#4027C2316yes—
380#4027C2316yes—
381D5×C22⋊C4C23112yes—
382#4025C2316yes—
383#4025C23112yes—
384#4025C2316yes—
385#4024C23112yes—
386#4024C2316yes—
387#4024C2316yes—
388#4024C23112yes—
389#4024C2312yes—
390#4024C2316yes—
391#4023C2316yes—
392#4023C2312yes—
393#4023C2316yes—
394#4023C2316yes—
395C4×D20C2316yes—
396C4×D20C2316yes—
397#4018C2316yes—
398C42×D5C2316yes—
399#4016C2316yes—
400#4015C2316yes—
401C4×Dic10C2316yes—
402C4×Dic10C2316yes—
403#3522—52no—
404#3519—56no—
405#3517—52no—
406#3514—56no—
407#3511—53no—
408#3508—53no—
409#3503—51no—
410#3498—51no—
411#3494—53no—
412#3494—53no—
413#3488—51no—
414#3488D511yescharacteristic, complemented
415#3483—52no—
416#3481—56no—
417#3480—52no—
418D4×#41—56no—
419#3460—53no—
420#3460—53no—
421#3444—53no—
422C2×#532—53no—
423C4×H(5,𝔽2)—51no—
424C4×H(5,𝔽2)—51no—
425C2×C4×#41—51no—
426C24×C5C2413yes—
427C24×C5C2416yes—
428C23×D5C2416yes—
429C5×#41—24no—
430C5×#41—28no—
431C5×#41—212no—
432C5×#41—212no—
433C5×#41—212no—
434C5×#41#4118yescomplemented
435C2×C5×Q8—24no—
436C2×C5×Q8C2411yescharacteristic
437C2×C5×Q8C2413yes—
438C2×C5×Q8C2411yescharacteristic
439C2×C5×D4—212no—
440C2×C5×D4—224no—
441C2×C5×D4—212no—
442C2×C5×D4—412no—
443C2×C5×D4C2416yes—
444C2×C5×D4C2416yes—
445C2×C5×D4C2416yes—
446C2×C5×D4C2413yes—
447C2×C5×D4C2416yes—
448C2×C5×D4C2413yes—
449C2×C5×D4C2416yes—
450C2×C5×D4C24112yes—
451C2×C5×D4C2413yes—
452C22×C4×C5—212no—
453C22×C4×C5C2413yes—
454C22×C4×C5C2413yes—
455C22×C4×C5C2413yes—
456C22×C4×C5C2416yes—
457C22×C4×C5C2411yescharacteristic
458C22×C4×C5C2413yes—
459C22×C4×C5C2416yes—
460C22×C4×C5C2413yes—
461C2×C22⋊D5—412no—
462C2×C22⋊D5—412no—
463C2×C22⋊D5—412no—
464C2×C22⋊D5C2416yes—
465C2×C22⋊D5C2416yes—
466C2×C22⋊D5C2416yes—
467C2×C22⋊D5C2416yes—
468C2×C22⋊D5C24112yes—
469C2×C22⋊D5C2416yes—
470C2×C22⋊D5C24112yes—
471C2×C22⋊D5C24112yes—
472C22×Dic5—212no—
473C22×Dic5—412no—
474C22×Dic5—46no—
475C22×Dic5C2413yes—
476C22×Dic5C2413yes—
477C22×Dic5C2413yes—
478C22×Dic5C2413yes—
479C22×Dic5C2413yes—
480C22×Dic5C2416yes—
481C22×Dic5C2413yes—
482C22×Dic5C2411yescharacteristic
483C22×Dic5C2413yes—
484C22×Dic5C2416yes—
485C22×Dic5C2413yes—
486C22×Dic5C2413yes—
487C22×Dic5C2416yes—
488C22×Dic5C24112yes—
489C22×Dic5C2413yes—
490C22×Dic5C2411yescharacteristic
491#713—28no—
492#711—224no—
493#711—424no—
494#711—412no—
495#711—424no—
496#711—424no—
497D4×D5—224no—
498#709—212no—
499C2×D20—212no—
500C2×D20C2413yes—
501C2×D20C2416yes—
502C2×C4×D5—412no—
503C2×C4×D5C2416yes—
504C2×C4×D5C2416yes—
505C2×C4×D5C24112yes—
506C2×C4×D5C2416yes—
507C2×Dic10—412no—
508C2×Dic10C2416yes—
509C2×Dic10C2411yescharacteristic
510C2×Dic10C2412yes—
511C2×Dic10C24112yes—
512C5×C4⋊C4C2413yes—
513C5×C4⋊C4C2416yes—
514C5×C4⋊C4C2411yescharacteristic
515C5×C4⋊C4C2412yes—
516C5×C4⋊C4C2416yes—
517C5×C22⋊C4C2416yes—
518C5×C22⋊C4C24112yes—
519C5×C22⋊C4C2416yes—
520C5×C22⋊C4C2412yes—
521C5×C22⋊C4C2416yes—
522C5×C22⋊C4C2416yes—
523C42×C5C2416yes—
524C22⋊Dic5C2416yes—
525C22⋊Dic5C2416yes—
526C22⋊Dic5C2416yes—
527C22⋊Dic5C24112yes—
528C22⋊Dic5C2416yes—
529C22⋊Dic5C2416yes—
530C22⋊Dic5C2416yes—
531C22⋊Dic5C2416yes—
532C22⋊Dic5C2412yes—
533C22⋊Dic5C2416yes—
534C22⋊Dic5C2416yes—
535C22⋊Dic5C2416yes—
536#685C2416yes—
537#685C2416yes—
538#685C24112yes—
539#685C2416yes—
540#685C24112yes—
541#685C2416yes—
542#685C2416yes—
543#685C2416yes—
544C4⋊Dic5C2416yes—
545C4⋊Dic5C2416yes—
546C4⋊Dic5C2413yes—
547C4⋊Dic5C2416yes—
548C4⋊Dic5C2413yes—
549C4⋊Dic5C2413yes—
550C4⋊Dic5C2413yes—
551C4⋊Dic5C2416yes—
552C4⋊Dic5C2416yes—
553C4⋊Dic5C2412yes—
554C4⋊Dic5C2416yes—
555C4⋊Dic5C2413yes—
556C4⋊Dic5C2411yescharacteristic
557#683C2412yes—
558#683C2416yes—
559#683C2416yes—
560#683C2416yes—
561#683C24112yes—
562#683C2412yes—
563#683C2416yes—
564#683C2412yes—
565#683C2412yes—
566#683C2412yes—
567#683C2416yes—
568C4×Dic5C2413yes—
569C4×Dic5C2413yes—
570C4×Dic5C2416yes—
571C4×Dic5C2412yes—
572C4×Dic5C2413yes—
573C4×Dic5C2416yes—
574C4×Dic5C2413yes—
575C4×Dic5C2413yes—
576C4×Dic5C2413yes—
577C4×Dic5C2412yes—
578C4×Dic5C2416yes—
579C4×Dic5C2413yes—
580C4×Dic5C2413yes—
581C4×Dic5C2411yescharacteristic
582C4×Dic5C2413yes—
583C4×Dic5C2413yes—
584C4×Dic5C2411yescharacteristic
585C4×Dic5C2411yescharacteristic
586C4×Dic5C2413yes—
587C4×Dic5C2411yescharacteristic
588C4×Dic5C2413yes—
589C2×H(5,𝔽2)—51no—
590C2×H(5,𝔽2)C2×D511yescharacteristic
591C22×#41—56no—
592C22×#41C2×D511yescharacteristic
593#559—56no—
594#559—56no—
595Q82—52no—
596#557—52no—
597#556—56no—
598#555—56no—
599#555—56no—
600#555—56no—
601#554—56no—
602#554—56no—
603#553—512no—
604#553—56no—
605#553—56no—
606#553—56no—
607#553—56no—
608#551—512no—
609#551—512no—
610#550—52no—
611#550—52no—
612#550—52no—
613#550—56no—
614#550—56no—
615#550C2×D512yescomplemented
616D4×Q8—56no—
617#548—52no—
618#548—512no—
619#548C2×D512yescomplemented
620#547—56no—
621#547—56no—
622#547—56no—
623#546—56no—
624#546—512no—
625#546—512no—
626#546—512no—
627#546—512no—
628#546C2×D516yescomplemented
629D42—56no—
630D42—56no—
631D42—56no—
632D42C2×D516yescomplemented
633#544—53no—
634#544—53no—
635#542—56no—
636#542—56no—
637#542—56no—
638#542—56no—
639#540—56no—
640#540—56no—
641#540—56no—
642#540—56no—
643#538—512no—
644#538—512no—
645#537—53no—
646#537C2×D513yescomplemented
647#535—53no—
648#535—53no—
649#535—53no—
650#535C2×D513yescomplemented
651#533—51no—
652#533—53no—
653#533—53no—
654#532—53no—
655#532—56no—
656#532—53no—
657#532—56no—
658#532—56no—
659#532—56no—
660#532—56no—
661#532—56no—
662#532—56no—
663#532—56no—
664#532—53no—
665#532—56no—
666C2×C4⋊Q8—53no—
667C2×#127—53no—
668#529—56no—
669#529—56no—
670#529—56no—
671#529—53no—
672#529—53no—
673#529—56no—
674#529—53no—
675#529—53no—
676#529—56no—
677#529—56no—
678C2×#124—56no—
679#525—53no—
680#525—512no—
681#525—56no—
682#525—56no—
683#525—512no—
684#525C2×D513yescomplemented
685C2×#121—56no—
686C2×#121—53no—
687C2×#121C2×D513yescomplemented
688#520—51no—
689#520—53no—
690#520—52no—
691#520—52no—
692#520—53no—
693#520C2×D511yescharacteristic
694#518—53no—
695#518—56no—
696#518—56no—
697#518—53no—
698C4×#41—51no—
699C4×#41—51no—
700C4×#41—53no—
701C4×#41—53no—
702C4×#41—51no—
703C4×#41—53no—
704C4×#41—53no—
705C4×#41—51no—
706C4×#41—53no—
707C4×#41—52no—
708C4×#41—52no—
709C4×#41—56no—
710C4×#41—56no—
711C4×#41—53no—
712C2×C4×Q8—51no—
713C2×C4×Q8—51no—
714C2×C4×D4—53no—
715C2×C4×D4—53no—
716C2×C4×D4—53no—
717C2×C4×D4—56no—
718C2×C4×D4—56no—
719C2×C4×D4—53no—
720C2×C4×D4—56no—
721C2×#117—53no—
722C22×C42—53no—
723C23×C5—26no—
724C23×C5—26no—
725C23×C5—212no—
726C23×C5—43no—
727C23×C5—46no—
728C23×C5—46no—
729C23×C5C2516yes—
730C23×C5C2513yes—
731C23×C5C2513yes—
732C23×C5C2511yescharacteristic
733C22×D5—212no—
734C22×D5—46no—
735C22×D5—46no—
736C22×D5C2516yes—
737C5×Q8—26no—
738C5×Q8—22no—
739C5×Q8C2×#4114yescomplemented
740C5×D4—212no—
741C5×D4—212no—
742C5×D4—212no—
743C5×D4—26no—
744C5×D4—212no—
745C5×D4—26no—
746C5×D4—412no—
747C5×D4—46no—
748C5×D4C2×#41112yescomplemented
749C2×C4×C5—26no—
750C2×C4×C5—22no—
751C2×C4×C5—26no—
752C2×C4×C5—26no—
753C2×C4×C5—26no—
754C2×C4×C5—212no—
755C2×C4×C5—46no—
756C2×C4×C5C2×#41112yescomplemented
757C2×C4×C5C2511yescharacteristic
758C2×C4×C5C2513yes—
759C2×C4×C5C2512yes—
760C2×C4×C5C2512yes—
761C2×C4×C5C2516yes—
762C2×C4×C5C2511yescharacteristic
763C2×C4×C5C2513yes—
764C22⋊D5—212no—
765C22⋊D5—212no—
766C22⋊D5—212no—
767C22⋊D5—212no—
768C22⋊D5—412no—
769C22⋊D5—412no—
770C22⋊D5—46no—
771C22⋊D5—412no—
772C2×Dic5—26no—
773C2×Dic5—26no—
774C2×Dic5—26no—
775C2×Dic5—212no—
776C2×Dic5—26no—
777C2×Dic5—26no—
778C2×Dic5—26no—
779C2×Dic5—22no—
780C2×Dic5—26no—
781C2×Dic5—46no—
782C2×Dic5—412no—
783C2×Dic5—46no—
784C2×Dic5—43no—
785C2×Dic5—43no—
786C2×Dic5—43no—
787C2×Dic5H(5,𝔽2)14yescomplemented
788C2×Dic5C2511yescharacteristic
789C2×Dic5C2513yes—
790C2×Dic5C2512yes—
791C2×Dic5C2513yes—
792C2×Dic5C2512yes—
793C2×Dic5C2513yes—
794C2×Dic5C2513yes—
795C2×Dic5C2516yes—
796C2×Dic5C2511yescharacteristic
797C2×Dic5C2511yescharacteristic
798C2×Dic5C2511yescharacteristic
799D20—26no—
800D20—212no—
801C4×D5—212no—
802C4×D5—212no—
803C4×D5—412no—
804C4×D5—46no—
805Dic10—22no—
806Dic10—212no—
807Dic10—24no—
808Dic10—412no—
809H(5,𝔽2)—28no—
810H(5,𝔽2)—108no—
811C2×#41—28no—
812C2×#41—52no—
813C2×#41—56no—
814C2×#41—56no—
815C2×#41—512no—
816C2×#41—512no—
817C2×#41—512no—
818C2×#41—53no—
819C2×#41—2024no—
820C2×#41C22×D513yes—
821C2×#41C22×D513yes—
822C2×#41C22×D511yescharacteristic
823C2×#41C22×D513yes—
824C2×#41C22×D512yes—
825C2×#41C22×D511yescharacteristic
826C22×Q8—56no—
827C22×Q8C22×D511yescharacteristic
828C22×D4—56no—
829C22×D4—56no—
830C22×D4—56no—
831C22×D4—56no—
832C22×D4—53no—
833C22×D4C22×D513yes—
834C22×D4C22×D513yes—
835C22×D4C22×D516yes—
836C22×D4C22×D516yes—
837C23×C4—53no—
838C23×C4—56no—
839C23×C4—53no—
840C23×C4—56no—
841C23×C4C22×D513yes—
842C4⋊Q8—51no—
843C4⋊Q8—53no—
844C4⋊Q8—56no—
845C4⋊Q8—56no—
846C4⋊Q8—56no—
847C4⋊Q8—51no—
848C4⋊Q8—56no—
849C4⋊Q8—56no—
850#127—53no—
851#127—56no—
852#127—56no—
853#127—56no—
854#127—56no—
855#127C22×D516yes—
856#126—56no—
857#126—56no—
858#126—512no—
859#126—56no—
860#126—56no—
861#126—512no—
862#125—52no—
863#125—53no—
864#125—53no—
865#125—56no—
866#125—56no—
867#125—56no—
868#124—53no—
869#124—56no—
870#124—53no—
871#124—512no—
872#124—56no—
873#124—512no—
874#124—512no—
875#124—512no—
876#124—56no—
877#124—512no—
878#124C22×D516yes—
879#123—56no—
880#123—56no—
881#123—512no—
882#123—56no—
883#123—56no—
884#123—56no—
885#123—512no—
886#123—512no—
887#123—512no—
888#123—512no—
889#123—512no—
890#123C22×D516yes—
891C22⋊Q8—56no—
892C22⋊Q8—51no—
893C22⋊Q8—53no—
894C22⋊Q8—512no—
895C22⋊Q8—512no—
896C22⋊Q8—52no—
897C22⋊Q8—56no—
898C22⋊Q8—56no—
899C22⋊Q8—56no—
900C22⋊Q8—512no—
901C22⋊Q8—512no—
902C22⋊Q8C22×D511yescharacteristic
903C22⋊Q8C22×D513yes—
904C22⋊Q8C22×D516yes—
905#121—56no—
906#121—512no—
907#121—512no—
908#121—512no—
909#121—56no—
910#121—56no—
911#121—56no—
912#121—512no—
913#121—512no—
914#121—512no—
915#121—56no—
916#121—56no—
917#121—56no—
918#121—512no—
919#121—512no—
920#121—53no—
921#121—56no—
922#121—56no—
923#121—56no—
924#121—53no—
925#121—56no—
926#121—56no—
927#121C22×D513yes—
928#121C22×D516yes—
929#121C22×D516yes—
930#121C22×D516yes—
931#121C22×D5112yes—
932#121C22×D513yes—
933#121C22×D516yes—
934#120—56no—
935#120—512no—
936#120—512no—
937#120—512no—
938#120C22×D516yes—
939#120C22×D5112yes—
940C4×Q8—51no—
941C4×Q8—51no—
942C4×Q8—53no—
943C4×Q8—53no—
944C4×Q8—51no—
945C4×Q8—51no—
946C4×Q8—53no—
947C4×Q8—53no—
948C4×Q8—51no—
949C4×Q8—53no—
950C4×Q8—52no—
951C4×Q8—52no—
952C4×Q8—51no—
953C4×Q8—53no—
954C4×Q8—56no—
955C4×Q8—56no—
956C4×Q8—56no—
957C4×Q8C22×D512yes—
958C4×D4—53no—
959C4×D4—56no—
960C4×D4—56no—
961C4×D4—53no—
962C4×D4—53no—
963C4×D4—56no—
964C4×D4—53no—
965C4×D4—56no—
966C4×D4—53no—
967C4×D4—53no—
968C4×D4—53no—
969C4×D4—56no—
970C4×D4—56no—
971C4×D4—53no—
972C4×D4—53no—
973C4×D4—56no—
974C4×D4—56no—
975C4×D4—56no—
976C4×D4—512no—
977C4×D4—56no—
978C4×D4—56no—
979C4×D4—53no—
980C4×D4—56no—
981C4×D4—56no—
982C4×D4—56no—
983C4×D4—512no—
984C4×D4—56no—
985C4×D4—56no—
986C4×D4—56no—
987C4×D4—56no—
988C4×D4—56no—
989C4×D4—53no—
990C4×D4—56no—
991C4×D4—56no—
992C4×D4—53no—
993C4×D4—56no—
994C4×D4—56no—
995C4×D4—512no—
996C4×D4—512no—
997C4×D4—512no—
998C4×D4—56no—
999C4×D4—56no—
1000C4×D4—56no—
1001C4×D4—56no—
1002C4×D4—56no—
1003C4×D4—56no—
1004C4×D4C22×D516yes—
1005C4×D4C22×D516yes—
1006C4×D4C22×D516yes—
1007#117—53no—
1008#117—53no—
1009#117—56no—
1010#117—56no—
1011#117—53no—
1012#117—53no—
1013#117—53no—
1014#117—56no—
1015#117—56no—
1016#117—56no—
1017#117—56no—
1018#117—56no—
1019#117—52no—
1020#117—56no—
1021#117—56no—
1022#117—56no—
1023#117—56no—
1024#117C22×D513yes—
1025C2×C4⋊C4—53no—
1026C2×C4⋊C4—53no—
1027C2×C4⋊C4—53no—
1028C2×C4⋊C4—56no—
1029C2×C4⋊C4—56no—
1030C2×C4⋊C4—56no—
1031C2×C4⋊C4C22×D513yes—
1032C2×C22⋊C4—56no—
1033C2×C22⋊C4—56no—
1034C2×C22⋊C4—512no—
1035C2×C22⋊C4—56no—
1036C2×C22⋊C4—56no—
1037C2×C22⋊C4—512no—
1038C2×C22⋊C4C22×D516yes—
1039C2×C42—53no—
1040C2×C42—53no—
1041C2×C42—53no—
1042C2×C42—53no—
1043C2×C42—53no—
1044C2×C42—56no—
1045C2×C42—53no—
1046C2×C42—53no—
1047C2×C42—53no—
1048C2×C42—53no—
1049C2×C42—53no—
1050C2×C42—53no—
1051C2×C42—51no—
1052C2×C42—56no—
1053C22×C5—21no—
1054C22×C5—23no—
1055C22×C5—21no—
1056C22×C5—23no—
1057C22×C5—23no—
1058C22×C5—26no—
1059C22×C5—23no—
1060C22×C5—26no—
1061C22×C5—23no—
1062C22×C5—26no—
1063C22×C5—412no—
1064C22×C5—812no—
1065C22×C5C22×#4116yes—
1066C22×C5C2×H(5,𝔽2)12yes—
1067C22×C5C2611yescharacteristic
1068C2×D5—26no—
1069C2×D5—26no—
1070C2×D5—26no—
1071C2×D5—812no—
1072C4×C5—21no—
1073C4×C5—22no—
1074C4×C5—23no—
1075C4×C5—26no—
1076C4×C5—22no—
1077C4×C5C22×#4112yes—
1078C4×C5C22×#4116yes—
1079Dic5—22no—
1080Dic5—26no—
1081Dic5—23no—
1082Dic5—23no—
1083Dic5—22no—
1084Dic5—23no—
1085Dic5—21no—
1086Dic5—23no—
1087Dic5C2×H(5,𝔽2)12yes—
1088Dic5C2×H(5,𝔽2)12yes—
1089Dic5#58512yes—
1090C24—56no—
1091C24C23×D513yes—
1092C24C23×D516yes—
1093#41—24no—
1094#41—28no—
1095#41—212no—
1096#41—212no—
1097#41—212no—
1098#41—1024no—
1099#41—108no—
1100#41—1012no—
1101#41—2024no—
1102#41—2024no—
1103#41—2024no—
1104#41—2012no—
1105#41#71118yescomplemented
1106C2×Q8—24no—
1107C2×Q8—52no—
1108C2×Q8—51no—
1109C2×Q8—56no—
1110C2×Q8—512no—
1111C2×Q8—2012no—
1112C2×Q8C23×D513yes—
1113C2×Q8C23×D511yescharacteristic
1114C2×Q8C23×D511yescharacteristic
1115C2×D4—212no—
1116C2×D4—224no—
1117C2×D4—212no—
1118C2×D4—412no—
1119C2×D4—56no—
1120C2×D4—56no—
1121C2×D4—56no—
1122C2×D4—56no—
1123C2×D4—56no—
1124C2×D4—512no—
1125C2×D4—512no—
1126C2×D4—512no—
1127C2×D4—53no—
1128C2×D4—56no—
1129C2×D4—1024no—
1130C2×D4—1012no—
1131C2×D4—2012no—
1132C2×D4—2012no—
1133C2×D4—2012no—
1134C2×D4C23×D516yes—
1135C2×D4C23×D516yes—
1136C2×D4C23×D516yes—
1137C2×D4C23×D513yes—
1138C2×D4C23×D513yes—
1139C2×D4C23×D516yes—
1140C2×D4C23×D516yes—
1141C2×D4C23×D5112yes—
1142C2×D4C23×D513yes—
1143C22×C4—212no—
1144C22×C4—51no—
1145C22×C4—51no—
1146C22×C4—53no—
1147C22×C4—53no—
1148C22×C4—53no—
1149C22×C4—53no—
1150C22×C4—53no—
1151C22×C4—53no—
1152C22×C4—53no—
1153C22×C4—56no—
1154C22×C4—53no—
1155C22×C4—53no—
1156C22×C4—53no—
1157C22×C4—56no—
1158C22×C4—56no—
1159C22×C4—512no—
1160C22×C4—56no—
1161C22×C4—56no—
1162C22×C4—56no—
1163C22×C4—512no—
1164C22×C4—1012no—
1165C22×C4—2012no—
1166C22×C4—2012no—
1167C22×C4—206no—
1168C22×C4C23×D511yescharacteristic
1169C22×C4C23×D513yes—
1170C22×C4C23×D513yes—
1171C22×C4C23×D513yes—
1172C22×C4C23×D513yes—
1173C22×C4C23×D516yes—
1174C22×C4C23×D516yes—
1175C22×C4C23×D513yes—
1176C4⋊C4—53no—
1177C4⋊C4—56no—
1178C4⋊C4—53no—
1179C4⋊C4—56no—
1180C4⋊C4—56no—
1181C4⋊C4—56no—
1182C4⋊C4—53no—
1183C4⋊C4—53no—
1184C4⋊C4—53no—
1185C4⋊C4—56no—
1186C4⋊C4—56no—
1187C4⋊C4—512no—
1188C4⋊C4—52no—
1189C4⋊C4—51no—
1190C4⋊C4—52no—
1191C4⋊C4—52no—
1192C4⋊C4—52no—
1193C4⋊C4—52no—
1194C4⋊C4—52no—
1195C4⋊C4—56no—
1196C4⋊C4—56no—
1197C4⋊C4—56no—
1198C4⋊C4—56no—
1199C4⋊C4—56no—
1200C4⋊C4C23×D516yes—
1201C4⋊C4C23×D513yes—
1202C4⋊C4C23×D512yes—
1203C4⋊C4C23×D516yes—
1204C4⋊C4C23×D511yescharacteristic
1205C22⋊C4—56no—
1206C22⋊C4—56no—
1207C22⋊C4—56no—
1208C22⋊C4—56no—
1209C22⋊C4—512no—
1210C22⋊C4—56no—
1211C22⋊C4—56no—
1212C22⋊C4—56no—
1213C22⋊C4—52no—
1214C22⋊C4—56no—
1215C22⋊C4—56no—
1216C22⋊C4—56no—
1217C22⋊C4—56no—
1218C22⋊C4—56no—
1219C22⋊C4—512no—
1220C22⋊C4—56no—
1221C22⋊C4—512no—
1222C22⋊C4—56no—
1223C22⋊C4—56no—
1224C22⋊C4—56no—
1225C22⋊C4C23×D516yes—
1226C22⋊C4C23×D516yes—
1227C22⋊C4C23×D5112yes—
1228C22⋊C4C23×D512yes—
1229C22⋊C4C23×D516yes—
1230C22⋊C4C23×D516yes—
1231C42—51no—
1232C42—51no—
1233C42—53no—
1234C42—51no—
1235C42—51no—
1236C42—53no—
1237C42—52no—
1238C42—52no—
1239C42—53no—
1240C42—53no—
1241C42—53no—
1242C42—53no—
1243C42—53no—
1244C42—53no—
1245C42—53no—
1246C42—53no—
1247C42—53no—
1248C42—53no—
1249C42—56no—
1250C42—56no—
1251C42—56no—
1252C42C23×D516yes—
1253C2×C5—26no—
1254C2×C5—22no—
1255C2×C5—43no—
1256C2×C5—46no—
1257C2×C5C23×#4111yescharacteristic
1258C2×C5C22×H(5,𝔽2)11yescharacteristic
1259C2×C5C2×#58511yescharacteristic
1260D5—46no—
1261C23—26no—
1262C23—26no—
1263C23—212no—
1264C23—43no—
1265C23—46no—
1266C23—46no—
1267C23—56no—
1268C23—1012no—
1269C23—206no—
1270C23—206no—
1271C23C24×D516yes—
1272C23C24×D513yes—
1273C23C24×D513yes—
1274C23C24×D511yescharacteristic
1275Q8—26no—
1276Q8—22no—
1277Q8—1012no—
1278Q8—104no—
1279Q8—102no—
1280Q8—2012no—
1281Q8C2×#71114yescomplemented
1282D4—212no—
1283D4—212no—
1284D4—212no—
1285D4—212no—
1286D4—26no—
1287D4—26no—
1288D4—412no—
1289D4—46no—
1290D4—1012no—
1291D4—1012no—
1292D4—1012no—
1293D4—1012no—
1294D4—1012no—
1295D4—106no—
1296D4—2012no—
1297D4—2012no—
1298D4—2012no—
1299D4—206no—
1300D4C2×#711112yescomplemented
1301C2×C4—26no—
1302C2×C4—22no—
1303C2×C4—26no—
1304C2×C4—26no—
1305C2×C4—26no—
1306C2×C4—212no—
1307C2×C4—46no—
1308C2×C4—54no—
1309C2×C4—51no—
1310C2×C4—51no—
1311C2×C4—51no—
1312C2×C4—51no—
1313C2×C4—53no—
1314C2×C4—52no—
1315C2×C4—52no—
1316C2×C4—53no—
1317C2×C4—53no—
1318C2×C4—53no—
1319C2×C4—56no—
1320C2×C4—1012no—
1321C2×C4—106no—
1322C2×C4—106no—
1323C2×C4—106no—
1324C2×C4—106no—
1325C2×C4—102no—
1326C2×C4—1012no—
1327C2×C4—106no—
1328C2×C4—106no—
1329C2×C4—106no—
1330C2×C4—1012no—
1331C2×C4—2012no—
1332C2×C4—206no—
1333C2×C4—206no—
1334C2×C4—2012no—
1335C2×C4—203no—
1336C2×C4—203no—
1337C2×C4—203no—
1338C2×C4—206no—
1339C2×C4C2×#711112yescomplemented
1340C2×C4C24×D511yescharacteristic
1341C2×C4C24×D513yes—
1342C2×C4C24×D512yes—
1343C2×C4C24×D512yes—
1344C2×C4C24×D516yes—
1345C2×C4C24×D511yescharacteristic
1346C2×C4C24×D513yes—
1347C5#6280011yescharacteristic, complemented, Sylow
1348C22—21no—
1349C22—23no—
1350C22—21no—
1351C22—23no—
1352C22—23no—
1353C22—26no—
1354C22—23no—
1355C22—26no—
1356C22—23no—
1357C22—26no—
1358C22—412no—
1359C22—812no—
1360C22—106no—
1361C22—106no—
1362C22—106no—
1363C22—4012no—
1364C22C22×#71116yes—
1365C22D5×H(5,𝔽2)12yes—
1366C22C25×D511yescharacteristic
1367C4—21no—
1368C4—22no—
1369C4—23no—
1370C4—26no—
1371C4—22no—
1372C4—52no—
1373C4—52no—
1374C4—52no—
1375C4—102no—
1376C4—103no—
1377C4—103no—
1378C4—106no—
1379C4—101no—
1380C4—103no—
1381C4—103no—
1382C4—102no—
1383C4C22×#71116yes—
1384C4C22×#71112yes—
1385C2—22no—
1386C2—26no—
1387C2—43no—
1388C2—46no—
1389C2—206no—
1390C2C23×#71111yescharacteristic
1391C2C2×D5×H(5,𝔽2)11yescharacteristic
1392C2D5×#58511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D5
commutator, socle, cosocleC22×C5C26
FittingC5×#3488C2
hypercenter#3488D5
hypocenterC5#62800
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22 ◁ #3488

Complements

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

NH ≅ G/Ntype
1. C5×#3488C2semidirect
2. #10619183C2semidirect
3. Dic5×H(5,𝔽2)C2semidirect
4. #10619176C2semidirect
5. C2×#41×Dic5C2semidirect
6. #10618673C2semidirect
7. #10618669C2semidirect
8. #10618623C2semidirect
9. #10618612C2semidirect
10. #10618538C2semidirect
11. #10618529C2semidirect
12. #10618512C2semidirect
13. D4×#711C2semidirect
14. #10618269C2semidirect
15. #10618265C2semidirect
16. #10618220C2semidirect
17. #10618215C2semidirect
18. #10617928C2semidirect
19. #10617919C2semidirect
20. #10617837C2semidirect
21. C2×#65930C2semidirect
22. #10617790C2semidirect
23. #10617787C2semidirect
27. C22×#711C22semidirect
28. C5×#550C22semidirect
29. C5×#548C22semidirect
30. C5×#546C22semidirect
31. C5×D42C22semidirect
32. C5×#537C22semidirect
33. C5×#535C22semidirect
34. C5×#525C22semidirect
35. C2×C5×#121C22semidirect
37. #66168C22semidirect
38. #66168C22semidirect
39. #66168C22semidirect
40. #66167C22semidirect
41. #66166C22semidirect
42. #66164C22semidirect
43. #66164C22semidirect
44. #66163C22semidirect
46. #66161C22semidirect
47. #66161C22semidirect
50. #41×Dic5C22semidirect
51. #41×Dic5C22semidirect
52. #41×Dic5C22semidirect
53. #41×Dic5C22semidirect
54. #41×Dic5C22semidirect
55. #41×Dic5C22semidirect
56. #41×Dic5C22semidirect
57. #41×Dic5C22semidirect
58. #66151C22semidirect
59. C2×Q8×Dic5C22semidirect
60. C2×Q8×Dic5C22semidirect
61. #66140C22semidirect
62. #66139C22semidirect
63. C2×#4086C22semidirect
64. C2×#4085C22semidirect
65. D4×C22⋊D5C22semidirect
66. D4×C22⋊D5C22semidirect
67. D4×C22⋊D5C22semidirect
68. #66132C22semidirect
69. #66132C22semidirect
70. C2×D4×Dic5C22semidirect
71. C2×D4×Dic5C22semidirect
72. C2×D4×Dic5C22semidirect
73. C2×D4×Dic5C22semidirect
74. #66125C22semidirect
75. C2×#4076C22semidirect
76. C2×#4072C22semidirect
77. C22×C4×Dic5C22semidirect
78. #66053C22semidirect
79. #66052C22semidirect
80. #66052C22semidirect
81. #66050C22semidirect
82. #66016C22semidirect
83. #66015C22semidirect
84. #66015C22semidirect
85. #66014C22semidirect
86. #65992C22semidirect
87. #65983C22semidirect
88. #65983C22semidirect
89. #65977C22semidirect
90. #65977C22semidirect
91. #65975C22semidirect
92. #65969C22semidirect
93. #65958C22semidirect
94. #65958C22semidirect
95. #65958C22semidirect
96. #65956C22semidirect
97. #65956C22semidirect
98. #65953C22semidirect
99. #65953C22semidirect
100. #65953C22semidirect
101. #65952C22semidirect
102. #65951C22semidirect
103. #65950C22semidirect
104. #65950C22semidirect
105. #65948C22semidirect
106. #65945C22semidirect
107. #65945C22semidirect
108. #65940C22semidirect
109. #65937C22semidirect
110. #65935C22semidirect
111. #65934C22semidirect
112. #65934C22semidirect
113. #65932C22semidirect
114. #65930C22semidirect
115. #65930C22semidirect
116. #65930C22semidirect
117. #65930C22semidirect
118. #65930C22semidirect
119. #65930C22semidirect
120. #65930C22semidirect
121. #65930C22semidirect
122. #65930C22semidirect
123. #65930C22semidirect
124. #65927C22semidirect
125. #65925C22semidirect
126. #65925C22semidirect
127. #65925C22semidirect
128. #65920C22semidirect
129. #65920C22semidirect
130. #65920C22semidirect
131. #65908C22semidirect
132. C4×#713C22semidirect
133. #65903C22semidirect
134. Q8×Dic10C22semidirect
135. #65899C22semidirect
136. #65899C22semidirect
137. #65897C22semidirect
138. #65889C22semidirect
139. #65879C22semidirect
140. C4×D4×D5C22semidirect
141. #65873C22semidirect
142. #65872C22semidirect
143. #65872C22semidirect
144. D4×Dic10C22semidirect
145. C4×#711C22semidirect
146. C4×#711C22semidirect
147. #65856C22semidirect
148. #65855C22semidirect
149. #65853C22semidirect
150. #65851C22semidirect
151. #65838C22semidirect
152. C2×#4039C22semidirect
153. #65834C22semidirect
154. C2×#4034C22semidirect
155. #65829C22semidirect
156. C2×#4031C22semidirect
157. C2×#4027C22semidirect
414. #3488D5semidirect
434. C5×#41#41semidirect
615. #550C2×D5semidirect
619. #548C2×D5semidirect
628. #546C2×D5semidirect
632. D42C2×D5semidirect
646. #537C2×D5semidirect
650. #535C2×D5semidirect
684. #525C2×D5semidirect
687. C2×#121C2×D5semidirect
739. C5×Q8C2×#41semidirect
748. C5×D4C2×#41semidirect
756. C2×C4×C5C2×#41semidirect
787. C2×Dic5H(5,𝔽2)semidirect
1105. #41#711semidirect
1281. Q8C2×#711semidirect
1300. D4C2×#711semidirect
1339. C2×C4C2×#711semidirect
1347. C5#62800semidirect

Maximal subgroups

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

subgroupindex
C5×#34882
#106191832
Dic5×H(5,𝔽2)2
#106191762
C2×#41×Dic52
#106186732
#106186692
#106186232
#106186122
#106185382
#106185292
#106185122
D4×#7112
#106182692
#106182652
#106182202
#106182152
#106179282
#106179192
#106178372
C2×#659302
#106177902
#106177872
#628005