Finite Group Databasebeta

← #13007872

Subgroups — #13007872

Order 1280.

7286 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3449C211yesmaximal, characteristic, complemented
2C2×#66162C212yesmaximal, complemented
3#10619161C212yesmaximal, complemented
4#10618282C214yesmaximal, complemented
5#10618267C214yesmaximal, complemented
6#10618258C218yesmaximal, complemented
7#10618233C218yesmaximal, complemented
8#10618210C214yesmaximal, complemented
9#10618198C214yesmaximal, complemented
10#10618137C214yesmaximal, complemented
11#10618120C214yesmaximal, complemented
12#10617922C2116yesmaximal, complemented
13C2×D5×#117C211yesmaximal, characteristic, complemented
14#10617626C211yesmaximal, characteristic, complemented
15C22×C5×#41C2212yes—
16C23×C4×D5C2211yescharacteristic
17C5×#537C2214yescomplemented
18C5×#536C2214yescomplemented
19C5×#535C2214yescomplemented
20C5×#534C2214yes—
21C5×#532C2214yescomplemented
22C5×#525C2218yescomplemented
23C2×C5×#117C2211yescharacteristic
24#66162C2218yes—
25#66162C2218yes—
26#66162C2214yescomplemented
27#66162C2214yescomplemented
28#66162C2214yescomplemented
29#66162C2214yescomplemented
30#66161C2218yescomplemented
31#66161C2218yescomplemented
32#41×Dic5C2218yescomplemented
33#41×Dic5C2218yescomplemented
34C2×#4092C2214yescomplemented
35#66146C2214yescomplemented
36C2×#4084C2214yescomplemented
37C2×#4083C2214yes—
38#66132C2218yes—
39#66132C2214yescomplemented
40C2×#4081C2214yes—
41C2×C4×C22⋊D5C2218yescomplemented
42C2×#4072C2211yescharacteristic
43C2×#4072C2212yes—
44C2×#4072C2218yescomplemented
45#66065C2218yescomplemented
46#66062C2218yescomplemented
47#66053C2218yescomplemented
48#66050C2218yescomplemented
49#66016C22116yescomplemented
50#66014C22116yescomplemented
51#65992C22132yescomplemented
52#65984C22132yescomplemented
53#65976C22116yescomplemented
54#65975C22116yescomplemented
55#65973C22116yescomplemented
56#65969C22116yescomplemented
57#65952C22116yescomplemented
58#65951C22116yescomplemented
59#65950C22116yescomplemented
60#65948C22116yescomplemented
61#65945C22116yescomplemented
62#65940C22116yescomplemented
63#65936C22116yescomplemented
64#65934C22116yescomplemented
65#65925C22132yescomplemented
66#65921C22132yescomplemented
67#65891C22116yescomplemented
68#65872C22132yescomplemented
69C4×#711C22116yescomplemented
70D5×#117C2218yescomplemented
71D5×#117C2218yescomplemented
72#65853C2218yescomplemented
73#65851C2218yescomplemented
74C2×#4038C2212yescomplemented
75C2×D5×C4⋊C4C2212yescomplemented
76#65834C2214yescomplemented
77C2×D5×C22⋊C4C2212yes—
78#65817C2214yes—
79C2×#4023C2212yes—
80C2×#4018C2212yescomplemented
81C2×C42×D5C2212yescomplemented
82#65804C2214yescomplemented
83#62814—51nomaximal, Sylow
84C24×D5C2311yescharacteristic
85C2×C5×#41—216no—
86C2×C5×#41C2314yes—
87C2×C5×#41C2314yes—
88C2×C5×#41C2314yes—
89C2×C5×#41C2314yes—
90C22×C5×Q8C2312yes—
91C22×C5×D4C2314yes—
92C22×C5×D4C2312yes—
93C23×C4×C5C2314yes—
94C23×C4×C5C2311yescharacteristic
95C22×C22⋊D5C2318yes—
96C23×Dic5C2311yescharacteristic
97C2×#711C23116yes—
98C22×C4×D5—28no—
99C22×C4×D5C2311yescharacteristic
100C22×C4×D5C2311yescharacteristic
101C22×C4×D5C2311yescharacteristic
102C22×C4×D5C2311yescharacteristic
103C22×C4×D5C2314yes—
104C22×C4×D5C2314yes—
105C22×C4×D5C2314yes—
106C5×C4⋊Q8C2314yescomplemented
107C5×#127C2314yescomplemented
108C5×#124C2318yescomplemented
109C5×#123C23116yes—
110C5×C22⋊Q8C23116yescomplemented
111C5×#121C23116yes—
112C5×#121C23116yescomplemented
113C5×#120C23116yes—
114C4×C5×D4C23116yescomplemented
115C5×#117C2314yes—
116C5×#117C2314yes—
117C2×C5×C4⋊C4C2312yes—
118C2×C5×C22⋊C4C2312yes—
119C2×C42×C5C2312yes—
120C2×C22⋊Dic5C2312yes—
121C2×C22⋊Dic5C2314yes—
122C2×C22⋊Dic5C23116yes—
123C2×C22⋊Dic5C2318yes—
124#4092C2318yes—
125#4092C2318yes—
126#4092C2318yes—
127#4092C2318yes—
128Q8×Dic5C23116yescomplemented
129Q8×Dic5C23116yescomplemented
130#4085C23132yes—
131#4084C2318yes—
132#4084C23116yes—
133#4084C2318yes—
134#4084C2318yes—
135#4084C2318yes—
136#4083C23116yes—
137#4083C2318yes—
138#4083C2318yes—
139#4082C23116yescomplemented
140#4081C23116yes—
141#4081C2318yes—
142#4081C2318yes—
143#4081C23132yescomplemented
144D4×Dic5C23132yes—
145D4×Dic5C23132yes—
146D4×Dic5C23116yescomplemented
147D4×Dic5C23116yescomplemented
148D4×Dic5C23116yescomplemented
149C4×C22⋊D5C23116yes—
150C4×C22⋊D5C23116yes—
151C4×C22⋊D5C23116yes—
152C4×C22⋊D5C23116yes—
153C2×#685C2314yes—
154C2×#685C2318yes—
155#4072C2314yes—
156#4072C2314yes—
157#4072C2314yes—
158#4072C2314yes—
159#4072C2314yes—
160#4072C2314yes—
161#4072C23116yes—
162#4072C23116yescomplemented
163#4072C23116yescomplemented
164C2×C4⋊Dic5C2312yes—
165C2×C4⋊Dic5C2314yes—
166C2×C4⋊Dic5C23116yescomplemented
167#4070C23116yes—
168C2×#683C2314yes—
169C2×#683C2318yes—
170C2×C4×Dic5C2312yes—
171C2×C4×Dic5C2314yes—
172C2×C4×Dic5C2314yes—
173C2×C4×Dic5C23116yescomplemented
174#4044C23132yes—
175#4043C23116yes—
176#4038C23116yes—
177#4038C2318yes—
178#4038C2318yes—
179D5×C4⋊C4C2318yes—
180D5×C4⋊C4C2318yes—
181#4036C23116yescomplemented
182#4036C23116yescomplemented
183#4035C23132yescomplemented
184#4034C23116yescomplemented
185#4033C23116yescomplemented
186#4032C23132yes—
187#4031C23132yes—
188#4029C23132yes—
189#4027C23132yes—
190D5×C22⋊C4C23116yes—
191#4025C23132yescomplemented
192#4025C23132yescomplemented
193#4024C23132yes—
194#4024C23132yescomplemented
195#4023C23116yes—
196#4023C23132yescomplemented
197#4018C2318yes—
198#4018C2318yes—
199C42×D5C2318yes—
200C42×D5C2318yes—
201#4016C2318yescomplemented
202#4015C2318yescomplemented
203C4×Dic10C23116yescomplemented
204#3495—58no—
205#3494—58no—
206#3493—54no—
207#3492—54no—
208#3491—54no—
209#3490—54no—
210#3475—516no—
211#3458—51no—
212#3455—54no—
213#3449D511yescharacteristic, complemented
214#3444—54no—
215C2×#525—52no—
216#3428—52no—
217C22×#117—51no—
218C24×C5C2414yes—
219C24×C5C2411yescharacteristic
220C23×D5—24no—
221C23×D5—44no—
222C23×D5C2411yescharacteristic
223C23×D5C2414yes—
224C23×D5C2411yescharacteristic
225C5×#41—216no—
226C5×#41—216no—
227C5×#41—216no—
228C5×#41—216no—
229C2×C5×Q8—28no—
230C2×C5×Q8C2414yes—
231C2×C5×Q8C2414yes—
232C2×C5×D4—216no—
233C2×C5×D4—28no—
234C2×C5×D4C2418yes—
235C2×C5×D4C2418yes—
236C2×C5×D4C2414yes—
237C2×C5×D4C2414yes—
238C2×C5×D4C24116yes—
239C22×C4×C5—216no—
240C22×C4×C5#4118yescomplemented
241C22×C4×C5C2418yes—
242C22×C4×C5C2418yes—
243C22×C4×C5C2414yes—
244C22×C4×C5C2414yes—
245C22×C4×C5C2411yescharacteristic
246C22×C4×C5C2411yescharacteristic
247C22×C4×C5C2412yes—
248C22×C4×C5C2412yes—
249C2×C22⋊D5—416no—
250C2×C22⋊D5C24116yes—
251C2×C22⋊D5C24116yes—
252C22×Dic5—24no—
253C22×Dic5C2414yes—
254C22×Dic5C2411yescharacteristic
255C22×Dic5C2411yescharacteristic
256C22×Dic5C2418yes—
257C22×Dic5C2414yes—
258C22×Dic5C24132yes—
259#711—432no—
260C2×C4×D5—216no—
261C2×C4×D5—216no—
262C2×C4×D5—24no—
263C2×C4×D5—24no—
264C2×C4×D5—24no—
265C2×C4×D5—24no—
266C2×C4×D5—48no—
267C2×C4×D5C2412yes—
268C2×C4×D5C2412yes—
269C2×C4×D5C2412yes—
270C2×C4×D5C2412yes—
271C2×C4×D5C2414yes—
272C2×C4×D5C2414yes—
273C2×C4×D5C2418yes—
274C2×C4×D5C2418yes—
275C2×Dic10C24116yes—
276C5×C4⋊C4C2418yes—
277C5×C4⋊C4C24116yes—
278C5×C22⋊C4C2418yes—
279C5×C22⋊C4C24132yes—
280C42×C5C2414yes—
281C42×C5C2414yes—
282C22⋊Dic5C2418yes—
283C22⋊Dic5C2418yes—
284C22⋊Dic5C24116yes—
285C22⋊Dic5C24116yes—
286C22⋊Dic5C24132yes—
287C22⋊Dic5C2418yes—
288#685C24116yes—
289#685C24116yes—
290#685C24116yes—
291C4⋊Dic5C24116yes—
292C4⋊Dic5C2418yes—
293C4⋊Dic5C24132yes—
294C4⋊Dic5C2418yes—
295C4⋊Dic5C2418yes—
296#683C24132yes—
297#683C24116yes—
298#683C24116yes—
299#683C24116yes—
300C4×Dic5C2418yes—
301C4×Dic5C2414yes—
302C4×Dic5C2414yes—
303C4×Dic5C2418yes—
304C4×Dic5C2418yes—
305C4×Dic5C24132yes—
306C4×Dic5C2418yes—
307C22×#41C2×D512yes—
308C24×C4—51no—
309#556—516no—
310#555—516no—
311#554—516no—
312#553—516no—
313#553—516no—
314#552—532no—
315#552—516no—
316#552—516no—
317#551—532no—
318#551—532no—
319#547—516no—
320#546—532no—
321#544—58no—
322#544—54no—
323#543—54no—
324#542—516no—
325#541—58no—
326#540—58no—
327#539—516no—
328#538—516no—
329#537C2×D514yescomplemented
330#536C2×D514yescomplemented
331#535C2×D514yescomplemented
332#534C2×D514yes—
333#533—58no—
334#533—58no—
335#533—54no—
336#532—58no—
337#532C2×D514yescomplemented
338#529—516no—
339#529—516no—
340#529—532no—
341#529—516no—
342#525—58no—
343#525—58no—
344#525—54no—
345#525—54no—
346#525—54no—
347#525—54no—
348#525—516no—
349#525C2×D518yescomplemented
350C2×#123—54no—
351C2×C22⋊Q8—54no—
352C2×#121—54no—
353C2×#120—54no—
354#520—58no—
355#520—58no—
356#519—54no—
357#518—58no—
358#518—54no—
359C4×#41—58no—
360C4×#41—58no—
361C4×#41—516no—
362C2×C4×D4—58no—
363C2×#117—51no—
364C2×#117—52no—
365C2×#117—58no—
366C2×#117—58no—
367C2×#117—58no—
368C2×#117—52no—
369C2×#117—52no—
370C2×#117—52no—
371C2×#117C2×D511yescharacteristic
372C22×C4⋊C4—52no—
373C22×C22⋊C4—52no—
374C22×C42—52no—
375C23×C5—28no—
376C23×C5—42no—
377C23×C5—48no—
378C23×C5C2×#4114yes—
379C23×C5C2518yes—
380C23×C5C2512yes—
381C23×C5C2511yescharacteristic
382C22×D5—22no—
383C22×D5—24no—
384C22×D5—28no—
385C22×D5—22no—
386C22×D5—28no—
387C22×D5—44no—
388C22×D5—42no—
389C22×D5—416no—
390C22×D5C2512yes—
391C22×D5C2512yes—
392C5×Q8—28no—
393C5×Q8—28no—
394C5×D4—216no—
395C5×D4—216no—
396C5×D4—28no—
397C5×D4—28no—
398C5×D4—416no—
399C2×C4×C5—28no—
400C2×C4×C5—216no—
401C2×C4×C5—216no—
402C2×C4×C5—44no—
403C2×C4×C5C2×#4118yes—
404C2×C4×C5C2×#4118yes—
405C2×C4×C5C2×#4114yes—
406C2×C4×C5C2×#4114yes—
407C2×C4×C5C2518yes—
408C2×C4×C5C2518yes—
409C2×C4×C5C2511yescharacteristic
410C2×C4×C5C2512yes—
411C2×C4×C5C2511yescharacteristic
412C22⋊D5—232no—
413C22⋊D5—416no—
414C2×Dic5—28no—
415C2×Dic5—22no—
416C2×Dic5—22no—
417C2×Dic5—44no—
418C2×Dic5—432no—
419C2×Dic5—48no—
420C2×Dic5C2512yes—
421C2×Dic5C2518yes—
422C2×Dic5C25116yes—
423C2×Dic5C2512yes—
424C4×D5—216no—
425C4×D5—24no—
426C4×D5—24no—
427C4×D5—28no—
428C4×D5—28no—
429C4×D5—24no—
430C4×D5—24no—
431C4×D5—48no—
432Dic10—416no—
433C25—51no—
434C2×#41—216no—
435C2×#41—516no—
436C2×#41C22×D514yes—
437C2×#41C22×D514yes—
438C2×#41C22×D514yes—
439C2×#41C22×D514yes—
440C22×Q8C22×D512yes—
441C22×D4—58no—
442C22×D4C22×D514yes—
443C22×D4C22×D512yes—
444C23×C4—51no—
445C23×C4—51no—
446C23×C4—54no—
447C23×C4—54no—
448C23×C4—51no—
449C23×C4—51no—
450C23×C4—51no—
451C23×C4—54no—
452C23×C4—108no—
453C23×C4C22×D514yes—
454C23×C4C22×D511yescharacteristic
455C4⋊Q8—516no—
456C4⋊Q8—58no—
457C4⋊Q8C22×D514yescomplemented
458#127C22×D514yescomplemented
459#126—532no—
460#126—532no—
461#126—532no—
462#125—516no—
463#125—532no—
464#125—516no—
465#125—58no—
466#124—516no—
467#124—532no—
468#124C22×D518yescomplemented
469#123—58no—
470#123—58no—
471#123—516no—
472#123—532no—
473#123—532no—
474#123—532no—
475#123C22×D5116yes—
476C22⋊Q8—58no—
477C22⋊Q8—58no—
478C22⋊Q8—58no—
479C22⋊Q8—58no—
480C22⋊Q8—516no—
481C22⋊Q8—516no—
482C22⋊Q8—532no—
483C22⋊Q8—532no—
484C22⋊Q8C22×D5116yescomplemented
485#121—58no—
486#121—58no—
487#121—58no—
488#121—58no—
489#121—516no—
490#121—532no—
491#121C22×D5116yes—
492#121C22×D5116yescomplemented
493#120—58no—
494#120—58no—
495#120—516no—
496#120C22×D5116yes—
497C4×Q8—516no—
498C4×Q8—516no—
499C4×Q8—516no—
500C4×Q8—516no—
501C4×D4—532no—
502C4×D4—516no—
503C4×D4—532no—
504C4×D4—516no—
505C4×D4—516no—
506C4×D4—516no—
507C4×D4—516no—
508C4×D4—516no—
509C4×D4—516no—
510C4×D4—532no—
511C4×D4C22×D5116yescomplemented
512#117—54no—
513#117—54no—
514#117—54no—
515#117—54no—
516#117—516no—
517#117—54no—
518#117—516no—
519#117—54no—
520#117—516no—
521#117—58no—
522#117—58no—
523#117—516no—
524#117—516no—
525#117—532no—
526#117—58no—
527#117—58no—
528#117C22×D514yes—
529#117C22×D514yes—
530C2×C4⋊C4—52no—
531C2×C4⋊C4—54no—
532C2×C4⋊C4—54no—
533C2×C4⋊C4—516no—
534C2×C4⋊C4—58no—
535C2×C4⋊C4—58no—
536C2×C4⋊C4—58no—
537C2×C4⋊C4C22×D512yes—
538C2×C22⋊C4—52no—
539C2×C22⋊C4—54no—
540C2×C22⋊C4—516no—
541C2×C22⋊C4—58no—
542C2×C22⋊C4—54no—
543C2×C22⋊C4—58no—
544C2×C22⋊C4—516no—
545C2×C22⋊C4C22×D512yes—
546C2×C42—52no—
547C2×C42—54no—
548C2×C42—54no—
549C2×C42—516no—
550C2×C42—58no—
551C2×C42—58no—
552C2×C42C22×D512yes—
553C22×C5—22no—
554C22×C5—24no—
555C22×C5—28no—
556C22×C5—216no—
557C22×C5—44no—
558C22×C5—88no—
559C22×C5C22×#4114yes—
560C22×C5C22×#4112yes—
561C22×C5C2611yescharacteristic
562C2×D5—28no—
563C2×D5—22no—
564C2×D5—22no—
565C2×D5—22no—
566C2×D5—24no—
567C2×D5—416no—
568C2×D5—44no—
569C2×D5#58514yes—
570C4×C5—28no—
571C4×C5—28no—
572C4×C5C22×#4112yes—
573C4×C5C22×#4114yes—
574C4×C5C22×#4112yes—
575Dic5—22no—
576Dic5—22no—
577Dic5—216no—
578Dic5—28no—
579C24—51no—
580C24—54no—
581C24—51no—
582C24—104no—
583C24—204no—
584C24C23×D514yes—
585C24C23×D511yescharacteristic
586#41—216no—
587#41—216no—
588#41—216no—
589#41—216no—
590#41—2032no—
591C2×Q8—28no—
592C2×Q8—516no—
593C2×Q8C23×D514yes—
594C2×Q8C23×D514yes—
595C2×D4—216no—
596C2×D4—28no—
597C2×D4—516no—
598C2×D4—516no—
599C2×D4—2016no—
600C2×D4C23×D518yes—
601C2×D4C23×D518yes—
602C2×D4C23×D514yes—
603C2×D4C23×D514yes—
604C2×D4C23×D5116yes—
605C22×C4—216no—
606C22×C4—51no—
607C22×C4—54no—
608C22×C4—51no—
609C22×C4—54no—
610C22×C4—58no—
611C22×C4—532no—
612C22×C4—52no—
613C22×C4—58no—
614C22×C4—54no—
615C22×C4—54no—
616C22×C4—52no—
617C22×C4—52no—
618C22×C4—52no—
619C22×C4—58no—
620C22×C4—104no—
621C22×C4—1016no—
622C22×C4—1016no—
623C22×C4—104no—
624C22×C4—104no—
625C22×C4—104no—
626C22×C4—104no—
627C22×C4—208no—
628C22×C4#71118yescomplemented
629C22×C4C23×D514yes—
630C22×C4C23×D518yes—
631C22×C4C23×D518yes—
632C22×C4C23×D514yes—
633C22×C4C23×D511yescharacteristic
634C22×C4C23×D512yes—
635C22×C4C23×D511yescharacteristic
636C22×C4C23×D512yes—
637C4⋊C4—58no—
638C4⋊C4—58no—
639C4⋊C4—516no—
640C4⋊C4—58no—
641C4⋊C4—516no—
642C4⋊C4—532no—
643C4⋊C4—516no—
644C4⋊C4—532no—
645C4⋊C4—516no—
646C4⋊C4C23×D518yes—
647C4⋊C4C23×D5116yes—
648C22⋊C4—58no—
649C22⋊C4—58no—
650C22⋊C4—58no—
651C22⋊C4—532no—
652C22⋊C4—516no—
653C22⋊C4—516no—
654C22⋊C4—516no—
655C22⋊C4—516no—
656C22⋊C4—516no—
657C22⋊C4C23×D518yes—
658C22⋊C4C23×D5132yes—
659C42—58no—
660C42—54no—
661C42—58no—
662C42—532no—
663C42—58no—
664C42—54no—
665C42—58no—
666C42C23×D514yes—
667C42C23×D514yes—
668C2×C5—22no—
669C2×C5—24no—
670C2×C5—48no—
671C2×C5C23×#4111yescharacteristic
672C2×C5C2×#58512yes—
673D5—24no—
674D5—42no—
675C23—28no—
676C23—42no—
677C23—48no—
678C23—52no—
679C23—52no—
680C23—104no—
681C23—108no—
682C23—102no—
683C23—108no—
684C23—102no—
685C23—202no—
686C23—204no—
687C23—2016no—
688C23C2×#71114yes—
689C23C24×D518yes—
690C23C24×D512yes—
691C23C24×D511yescharacteristic
692Q8—28no—
693Q8—28no—
694Q8—2016no—
695D4—216no—
696D4—216no—
697D4—28no—
698D4—28no—
699D4—416no—
700D4—1032no—
701D4—2016no—
702C2×C4—28no—
703C2×C4—216no—
704C2×C4—216no—
705C2×C4—44no—
706C2×C4—52no—
707C2×C4—58no—
708C2×C4—516no—
709C2×C4—52no—
710C2×C4—1016no—
711C2×C4—108no—
712C2×C4—102no—
713C2×C4—102no—
714C2×C4—104no—
715C2×C4—104no—
716C2×C4—108no—
717C2×C4—108no—
718C2×C4—104no—
719C2×C4—104no—
720C2×C4—208no—
721C2×C4—204no—
722C2×C4—208no—
723C2×C4—2032no—
724C2×C4C2×#71118yes—
725C2×C4C2×#71118yes—
726C2×C4C2×#71114yes—
727C2×C4C2×#71114yes—
728C2×C4C24×D518yes—
729C2×C4C24×D518yes—
730C2×C4C24×D511yescharacteristic
731C2×C4C24×D512yes—
732C2×C4C24×D511yescharacteristic
733C5#6281411yescharacteristic, complemented, Sylow
734C22—22no—
735C22—24no—
736C22—28no—
737C22—216no—
738C22—44no—
739C22—54no—
740C22—88no—
741C22—108no—
742C22—102no—
743C22—102no—
744C22—102no—
745C22—104no—
746C22—2016no—
747C22—204no—
748C22C22×#71114yes—
749C22C22×#71112yes—
750C22C25×D511yescharacteristic
751C4—28no—
752C4—28no—
753C4—102no—
754C4—102no—
755C4—108no—
756C4—1016no—
757C4C22×#71112yes—
758C4C22×#71114yes—
759C4C22×#71112yes—
760C2—24no—
761C2—22no—
762C2—48no—
763C2—104no—
764C2—202no—
765C2C23×#71111yescharacteristic
766C2D5×#58512yes—
subgroupG/H
centerC2×C4C24×D5
commutator, socle, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC5×#3449C2
hypercenter#3449D5
hypocenterC5#62814
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C2×C4 ◁ #3449

Complements

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

NH ≅ G/Ntype
1. C5×#3449C2semidirect
2. C2×#66162C2semidirect
3. #10619161C2semidirect
4. #10618282C2semidirect
5. #10618267C2semidirect
6. #10618258C2semidirect
7. #10618233C2semidirect
8. #10618210C2semidirect
9. #10618198C2semidirect
10. #10618137C2semidirect
11. #10618120C2semidirect
12. #10617922C2semidirect
13. C2×D5×#117C2semidirect
14. #10617626C2semidirect
17. C5×#537C22semidirect
18. C5×#536C22semidirect
19. C5×#535C22semidirect
21. C5×#532C22semidirect
22. C5×#525C22semidirect
26. #66162C22semidirect
27. #66162C22semidirect
28. #66162C22semidirect
29. #66162C22semidirect
30. #66161C22semidirect
31. #66161C22semidirect
32. #41×Dic5C22semidirect
33. #41×Dic5C22semidirect
34. C2×#4092C22semidirect
35. #66146C22semidirect
36. C2×#4084C22semidirect
39. #66132C22semidirect
41. C2×C4×C22⋊D5C22semidirect
44. C2×#4072C22semidirect
45. #66065C22semidirect
46. #66062C22semidirect
47. #66053C22semidirect
48. #66050C22semidirect
49. #66016C22semidirect
50. #66014C22semidirect
51. #65992C22semidirect
52. #65984C22semidirect
53. #65976C22semidirect
54. #65975C22semidirect
55. #65973C22semidirect
56. #65969C22semidirect
57. #65952C22semidirect
58. #65951C22semidirect
59. #65950C22semidirect
60. #65948C22semidirect
61. #65945C22semidirect
62. #65940C22semidirect
63. #65936C22semidirect
64. #65934C22semidirect
65. #65925C22semidirect
66. #65921C22semidirect
67. #65891C22semidirect
68. #65872C22semidirect
69. C4×#711C22semidirect
70. D5×#117C22semidirect
71. D5×#117C22semidirect
72. #65853C22semidirect
73. #65851C22semidirect
74. C2×#4038C22semidirect
75. C2×D5×C4⋊C4C22semidirect
76. #65834C22semidirect
80. C2×#4018C22semidirect
81. C2×C42×D5C22semidirect
82. #65804C22semidirect
106. C5×C4⋊Q8C23semidirect
107. C5×#127C23semidirect
108. C5×#124C23semidirect
110. C5×C22⋊Q8C23semidirect
112. C5×#121C23semidirect
114. C4×C5×D4C23semidirect
128. Q8×Dic5C23semidirect
129. Q8×Dic5C23semidirect
139. #4082C23semidirect
143. #4081C23semidirect
146. D4×Dic5C23semidirect
147. D4×Dic5C23semidirect
148. D4×Dic5C23semidirect
162. #4072C23semidirect
163. #4072C23semidirect
166. C2×C4⋊Dic5C23semidirect
173. C2×C4×Dic5C23semidirect
181. #4036C23semidirect
182. #4036C23semidirect
183. #4035C23semidirect
184. #4034C23semidirect
185. #4033C23semidirect
191. #4025C23semidirect
192. #4025C23semidirect
194. #4024C23semidirect
196. #4023C23semidirect
201. #4016C23semidirect
202. #4015C23semidirect
203. C4×Dic10C23semidirect
213. #3449D5semidirect
240. C22×C4×C5#41semidirect
329. #537C2×D5semidirect
330. #536C2×D5semidirect
331. #535C2×D5semidirect
337. #532C2×D5semidirect
349. #525C2×D5semidirect
457. C4⋊Q8C22×D5semidirect
458. #127C22×D5semidirect
468. #124C22×D5semidirect
484. C22⋊Q8C22×D5semidirect
492. #121C22×D5semidirect
511. C4×D4C22×D5semidirect
628. C22×C4#711semidirect
733. C5#62814semidirect

Maximal subgroups

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

subgroupindex
C5×#34492
C2×#661622
#106191612
#106182822
#106182672
#106182582
#106182332
#106182102
#106181982
#106181372
#106181202
#106179222
C2×D5×#1172
#106176262
#628145