Finite Group Databasebeta

← #13006157

Subgroups — #13006157

Order 1280.

7226 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3449C211yesmaximal, characteristic, complemented
2#10619169C212yesmaximal, complemented
3C2×#41×Dic5C212yesmaximal, complemented
4#10618266C214yesmaximal, complemented
5#10618265C214yesmaximal, complemented
6#10618240C218yesmaximal, complemented
7#10618215C218yesmaximal, complemented
8#10618196C218yesmaximal, complemented
9#10618137C214yesmaximal, complemented
10#10618120C214yesmaximal, complemented
11#10617920C218yesmaximal, complemented
12#10617919C218yesmaximal, complemented
13#10617626C211yesmaximal, characteristic, complemented
14C2×#65856C211yesmaximal, characteristic, complemented
15C22×C5×#41C2212yes—
16C22×#709C2211yescharacteristic
17C5×#537C2214yes—
18C5×#536C2214yescomplemented
19C5×#535C2214yescomplemented
20C5×#534C2214yes—
21C5×#532C2214yes—
22C5×#525C2218yescomplemented
23C2×C5×#117C2211yescharacteristic
24#66167C2218yes—
25#66166C2218yes—
26#66164C2214yescomplemented
27#66162C2218yescomplemented
28#41×Dic5C2214yescomplemented
29#41×Dic5C2214yescomplemented
30#41×Dic5C2214yescomplemented
31#41×Dic5C2214yescomplemented
32#41×Dic5C2218yescomplemented
33#41×Dic5C2218yescomplemented
34#66159C2214yescomplemented
35#66150C2214yescomplemented
36C2×Q8×Dic5C2214yescomplemented
37#66139C2214yescomplemented
38#66138C2218yes—
39C2×D4×Dic5C2218yes—
40C2×D4×Dic5C2214yescomplemented
41#66125C2218yescomplemented
42C2×#4072C2212yes—
43C2×#4072C2214yescomplemented
44C22×C4×Dic5C2211yescharacteristic
45C22×C4×Dic5C2214yescomplemented
46#66065C2218yescomplemented
47#66062C2218yescomplemented
48#66053C2218yescomplemented
49#66050C2218yescomplemented
50#66016C22116yescomplemented
51#66014C22116yescomplemented
52#65999C22132yescomplemented
53#65983C22132yescomplemented
54#65977C22116yescomplemented
55#65959C22116yescomplemented
56#65958C22116yescomplemented
57#65956C22116yescomplemented
58#65953C22116yescomplemented
59#65951C22116yescomplemented
60#65940C22116yescomplemented
61#65937C22116yescomplemented
62#65936C22116yescomplemented
63#65934C22116yescomplemented
64#65934C22116yescomplemented
65#65930C22116yescomplemented
66#65927C22132yescomplemented
67#65920C22132yescomplemented
68#65891C22116yescomplemented
69#65872C22132yescomplemented
70C4×#711C22116yescomplemented
71#65856C2214yescomplemented
72#65856C2214yescomplemented
73#65856C2218yescomplemented
74#65853C2218yescomplemented
75#65851C2218yescomplemented
76C2×#4039C2212yescomplemented
77#65834C2214yescomplemented
78C2×#4033C2212yescomplemented
79C2×#4027C2214yes—
80#65817C2214yes—
81C2×#4018C2212yescomplemented
82C2×C42×D5C2212yescomplemented
83#65804C2214yescomplemented
84#62686—51nomaximal, Sylow
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⋊D5C2312yes—
96C23×Dic5C2312yes—
97C23×Dic5C2318yes—
98C2×#711C23116yes—
99C2×#709—28no—
100C2×#709C2314yes—
101C2×#709C2314yes—
102C22×D20C2311yescharacteristic
103C22×C4×D5C2312yes—
104C22×C4×D5C2314yes—
105C22×Dic10C2311yescharacteristic
106C5×C4⋊Q8C2314yes—
107C5×#127C2314yes—
108C5×#124C2318yes—
109C5×#123C23116yes—
110C5×C22⋊Q8C23116yes—
111C5×#121C23116yes—
112C5×#121C23116yes—
113C5×#120C23116yes—
114C4×C5×D4C23116yes—
115C5×#117C2314yes—
116C5×#117C2314yes—
117C2×C5×C4⋊C4C2312yes—
118C2×C5×C22⋊C4C2312yes—
119C2×C42×C5C2312yes—
120#4099C23116yes—
121C2×C22⋊Dic5C2314yes—
122C2×C22⋊Dic5C2318yes—
123#4093C2318yes—
124#4092C23116yes—
125Q8×Dic5C2318yes—
126Q8×Dic5C2318yes—
127Q8×Dic5C2318yes—
128Q8×Dic5C2318yes—
129#4090C2318yes—
130#4086C2318yes—
131#4085C23132yes—
132#4085C23132yes—
133#4084C23116yes—
134#4084C23116yes—
135#4083C23116yes—
136#4082C23116yes—
137#4082C2318yes—
138#4081C23132yes—
139#4081C23116yes—
140D4×Dic5C2318yes—
141D4×Dic5C23116yes—
142D4×Dic5C2318yes—
143D4×Dic5C23116yes—
144D4×Dic5C23116yes—
145D4×Dic5C23116yes—
146D4×Dic5C23116yes—
147D4×Dic5C2318yes—
148D4×Dic5C2318yes—
149#4076C23116yes—
150#4075C23116yes—
151C4×C22⋊D5C23132yes—
152C2×#685C2314yes—
153#4072C2314yes—
154#4072C2314yes—
155#4072C2314yes—
156#4072C2314yes—
157#4072C2318yes—
158#4072C2318yes—
159#4072C23116yes—
160C2×C4⋊Dic5C2314yes—
161C2×C4⋊Dic5C2318yes—
162#4070C23116yes—
163#4070C23116yes—
164C2×#683C2314yes—
165C2×C4×Dic5C2311yescharacteristic
166C2×C4×Dic5C2314yes—
167C2×C4×Dic5C2311yescharacteristic
168C2×C4×Dic5C2312yes—
169C2×C4×Dic5C2314yes—
170C2×C4×Dic5C2312yes—
171C2×C4×Dic5C2312yes—
172C2×C4×Dic5C2314yes—
173C2×C4×Dic5C2318yes—
174C2×C4×Dic5C2318yes—
175C2×C4×Dic5C2318yes—
176C2×C4×Dic5C23116yes—
177#4044C23132yes—
178#4043C23116yes—
179#4039C2318yes—
180#4039C2318yes—
181#4038C23116yes—
182#4036C23116yes—
183#4036C23116yes—
184#4035C23132yes—
185#4034C23116yes—
186#4033C23116yes—
187#4033C2318yes—
188#4033C2318yes—
189#4032C23132yes—
190#4031C23132yes—
191#4029C23132yes—
192#4027C23116yes—
193#4027C23116yes—
194#4027C23132yes—
195#4025C23132yes—
196#4025C23132yes—
197#4024C23132yes—
198#4024C23132yes—
199#4023C23132yes—
200#4018C2318yes—
201#4018C2318yes—
202C42×D5C2318yes—
203C42×D5C2314yes—
204C42×D5C2314yes—
205#4016C2318yes—
206#4015C2318yes—
207C4×Dic10C23116yes—
208#3461—54no—
209#3461—58no—
210#3460—54no—
211#3460—58no—
212#3459—58no—
213#3458—51no—
214#3455—54no—
215#3455—58no—
216#3449—52no—
217#3449D511yescharacteristic, complemented
218#3444—54no—
219#3444—58no—
220C2×C4×#41—52no—
221C2×C4×#41—51no—
222C24×C5C2414yes—
223C24×C5C2411yescharacteristic
224C23×D5C2412yes—
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—28no—
250C2×C22⋊D5C2418yes—
251C2×C22⋊D5C24132yes—
252C22×Dic5—44no—
253C22×Dic5—416no—
254C22×Dic5C2412yes—
255C22×Dic5C2412yes—
256C22×Dic5C24116yes—
257C22×Dic5C2414yes—
258C22×Dic5C2418yes—
259C22×Dic5C2414yes—
260C22×Dic5C24116yes—
261C22×Dic5C2412yes—
262#711—432no—
263#709—216no—
264#709—216no—
265C2×D20—24no—
266C2×D20C2414yes—
267C2×C4×D5—28no—
268C2×C4×D5—48no—
269C2×C4×D5C2414yes—
270C2×C4×D5C2414yes—
271C2×C4×D5C2418yes—
272C2×C4×D5C2418yes—
273C2×Dic10—24no—
274C2×Dic10C2414yes—
275C2×Dic10C24116yes—
276C5×C4⋊C4C2418yes—
277C5×C4⋊C4C24116yes—
278C5×C22⋊C4C2418yes—
279C5×C22⋊C4C24132yes—
280C42×C5C2414yes—
281C42×C5C2414yes—
282C22⋊Dic5C2418yes—
283C22⋊Dic5C24116yes—
284C22⋊Dic5C24116yes—
285C22⋊Dic5C2418yes—
286C22⋊Dic5C24132yes—
287#685C24116yes—
288#685C24132yes—
289C4⋊Dic5C24116yes—
290C4⋊Dic5C2418yes—
291C4⋊Dic5C24116yes—
292C4⋊Dic5C24116yes—
293C4⋊Dic5C2418yes—
294#683C24132yes—
295#683C24116yes—
296#683C24132yes—
297C4×Dic5C2418yes—
298C4×Dic5C2411yescharacteristic
299C4×Dic5C2411yescharacteristic
300C4×Dic5C2412yes—
301C4×Dic5C2418yes—
302C4×Dic5C2418yes—
303C4×Dic5C2412yes—
304C4×Dic5C2412yes—
305C4×Dic5C24116yes—
306C4×Dic5C24116yes—
307C4×Dic5C2414yes—
308C4×Dic5C2414yes—
309C4×Dic5C2418yes—
310C22×#41—51no—
311C22×#41C2×D512yes—
312#544—58no—
313#544—54no—
314#543—54no—
315#542—516no—
316#542—516no—
317#542—516no—
318#541—58no—
319#541—516no—
320#540—58no—
321#540—516no—
322#539—532no—
323#539—516no—
324#538—516no—
325#538—532no—
326#537—58no—
327#537C2×D514yes—
328#536—54no—
329#536—54no—
330#536C2×D514yescomplemented
331#535—54no—
332#535—54no—
333#535C2×D514yescomplemented
334#534—58no—
335#534C2×D514yes—
336#533—58no—
337#533—516no—
338#533—58no—
339#533—54no—
340#532—58no—
341#532—58no—
342#532—516no—
343#532C2×D514yes—
344#529—516no—
345#529—532no—
346#529—516no—
347#529—516no—
348#529—516no—
349#529—532no—
350#529—516no—
351#525—58no—
352#525—58no—
353#525—516no—
354#525—532no—
355#525C2×D518yescomplemented
356C4×#41—54no—
357C4×#41—54no—
358C4×#41—54no—
359C4×#41—54no—
360C4×#41—58no—
361C4×#41—58no—
362C4×#41—516no—
363C4×#41—54no—
364C4×#41—54no—
365C4×#41—58no—
366C2×C4×Q8—54no—
367C2×C4×Q8—52no—
368C2×C4×D4—58no—
369C2×C4×D4—54no—
370C2×C4×D4—52no—
371C2×C4×D4—54no—
372C2×#117—52no—
373C2×#117—54no—
374C2×#117—52no—
375C2×#117C2×D511yescharacteristic
376C22×C42—51no—
377C22×C42—54no—
378C22×C42—52no—
379C23×C5—28no—
380C23×C5—42no—
381C23×C5—48no—
382C23×C5C2×#4114yes—
383C23×C5C2518yes—
384C23×C5C2511yescharacteristic
385C23×C5C2512yes—
386C22×D5—24no—
387C22×D5—44no—
388C22×D5C2514yes—
389C5×Q8—28no—
390C5×Q8—28no—
391C5×D4—216no—
392C5×D4—216no—
393C5×D4—28no—
394C5×D4—28no—
395C5×D4—416no—
396C2×C4×C5—28no—
397C2×C4×C5—216no—
398C2×C4×C5—216no—
399C2×C4×C5—44no—
400C2×C4×C5C2×#4114yes—
401C2×C4×C5C2×#4114yes—
402C2×C4×C5C2×#4118yes—
403C2×C4×C5C2×#4118yes—
404C2×C4×C5C2518yes—
405C2×C4×C5C2518yes—
406C2×C4×C5C2512yes—
407C2×C4×C5C2511yescharacteristic
408C2×C4×C5C2511yescharacteristic
409C22⋊D5—216no—
410C22⋊D5—432no—
411C2×Dic5—24no—
412C2×Dic5—24no—
413C2×Dic5—232no—
414C2×Dic5—28no—
415C2×Dic5—48no—
416C2×Dic5—416no—
417C2×Dic5—44no—
418C2×Dic5—42no—
419C2×Dic5C2514yes—
420C2×Dic5C2512yes—
421C2×Dic5C2514yes—
422C2×Dic5C25116yes—
423C2×Dic5C2512yes—
424D20—28no—
425C4×D5—28no—
426C4×D5—28no—
427C4×D5—216no—
428C4×D5—48no—
429Dic10—28no—
430Dic10—416no—
431C2×#41—216no—
432C2×#41—516no—
433C2×#41—54no—
434C2×#41—54no—
435C2×#41—108no—
436C2×#41C22×D514yes—
437C2×#41C22×D514yes—
438C2×#41C22×D514yes—
439C2×#41C22×D514yes—
440C22×Q8—51no—
441C22×Q8C22×D512yes—
442C22×D4—52no—
443C22×D4—51no—
444C22×D4C22×D514yes—
445C22×D4C22×D512yes—
446C23×C4—52no—
447C23×C4—58no—
448C23×C4—52no—
449C23×C4—54no—
450C23×C4C22×D514yes—
451C23×C4C22×D511yescharacteristic
452C4⋊Q8—58no—
453C4⋊Q8—516no—
454C4⋊Q8—58no—
455C4⋊Q8C22×D514yes—
456#127—58no—
457#127C22×D514yes—
458#126—532no—
459#126—532no—
460#126—532no—
461#125—532no—
462#125—516no—
463#125—516no—
464#125—58no—
465#124—58no—
466#124—58no—
467#124—516no—
468#124—532no—
469#124C22×D518yes—
470#123—516no—
471#123—532no—
472#123—516no—
473#123—532no—
474#123—532no—
475#123C22×D5116yes—
476C22⋊Q8—516no—
477C22⋊Q8—516no—
478C22⋊Q8—516no—
479C22⋊Q8—516no—
480C22⋊Q8—532no—
481C22⋊Q8—532no—
482C22⋊Q8C22×D5116yes—
483#121—532no—
484#121—516no—
485#121—516no—
486#121—532no—
487#121—516no—
488#121C22×D5116yes—
489#121C22×D5116yes—
490#120—516no—
491#120—516no—
492#120C22×D5116yes—
493C4×Q8—58no—
494C4×Q8—58no—
495C4×Q8—58no—
496C4×Q8—58no—
497C4×Q8—58no—
498C4×Q8—58no—
499C4×Q8—516no—
500C4×Q8—516no—
501C4×D4—516no—
502C4×D4—516no—
503C4×D4—58no—
504C4×D4—58no—
505C4×D4—516no—
506C4×D4—516no—
507C4×D4—58no—
508C4×D4—58no—
509C4×D4—516no—
510C4×D4—532no—
511C4×D4—58no—
512C4×D4—58no—
513C4×D4—516no—
514C4×D4—516no—
515C4×D4—532no—
516C4×D4C22×D5116yes—
517#117—54no—
518#117—54no—
519#117—58no—
520#117—58no—
521#117—54no—
522#117—54no—
523#117—516no—
524#117—516no—
525#117—532no—
526#117—58no—
527#117—58no—
528#117C22×D514yes—
529#117C22×D514yes—
530C2×C4⋊C4—54no—
531C2×C4⋊C4—54no—
532C2×C4⋊C4—58no—
533C2×C4⋊C4C22×D512yes—
534C2×C22⋊C4—54no—
535C2×C22⋊C4—58no—
536C2×C22⋊C4—54no—
537C2×C22⋊C4C22×D512yes—
538C2×C42—52no—
539C2×C42—51no—
540C2×C42—54no—
541C2×C42—54no—
542C2×C42—52no—
543C2×C42—54no—
544C2×C42—58no—
545C2×C42—58no—
546C2×C42—52no—
547C2×C42—51no—
548C2×C42—58no—
549C2×C42—516no—
550C2×C42—54no—
551C2×C42—54no—
552C2×C42—58no—
553C2×C42C22×D512yes—
554C22×C5—24no—
555C22×C5—22no—
556C22×C5—28no—
557C22×C5—216no—
558C22×C5—44no—
559C22×C5—416no—
560C22×C5C22×#4112yes—
561C22×C5C22×#4114yes—
562C22×C5C2611yescharacteristic
563C2×D5—24no—
564C2×D5—28no—
565C2×D5—48no—
566C4×C5—28no—
567C4×C5—28no—
568C4×C5C22×#4114yes—
569C4×C5C22×#4112yes—
570C4×C5C22×#4112yes—
571Dic5—24no—
572Dic5—216no—
573Dic5—22no—
574Dic5—24no—
575Dic5#58514yes—
576C24—52no—
577C24C23×D514yes—
578C24C23×D511yescharacteristic
579#41—216no—
580#41—216no—
581#41—216no—
582#41—216no—
583#41—1016no—
584#41—1016no—
585#41—2032no—
586C2×Q8—28no—
587C2×Q8—54no—
588C2×Q8—516no—
589C2×Q8—104no—
590C2×Q8C23×D514yes—
591C2×Q8C23×D514yes—
592C2×D4—216no—
593C2×D4—28no—
594C2×D4—58no—
595C2×D4—532no—
596C2×D4—54no—
597C2×D4—108no—
598C2×D4—104no—
599C2×D4C23×D518yes—
600C2×D4C23×D518yes—
601C2×D4C23×D514yes—
602C2×D4C23×D514yes—
603C2×D4C23×D5116yes—
604C22×C4—216no—
605C22×C4—52no—
606C22×C4—54no—
607C22×C4—52no—
608C22×C4—516no—
609C22×C4—52no—
610C22×C4—54no—
611C22×C4—58no—
612C22×C4—516no—
613C22×C4—58no—
614C22×C4—54no—
615C22×C4—54no—
616C22×C4—58no—
617C22×C4—108no—
618C22×C4—208no—
619C22×C4—204no—
620C22×C4—2016no—
621C22×C4#71118yescomplemented
622C22×C4C23×D514yes—
623C22×C4C23×D518yes—
624C22×C4C23×D518yes—
625C22×C4C23×D514yes—
626C22×C4C23×D512yes—
627C22×C4C23×D511yescharacteristic
628C22×C4C23×D512yes—
629C22×C4C23×D511yescharacteristic
630C4⋊C4—58no—
631C4⋊C4—58no—
632C4⋊C4—516no—
633C4⋊C4—516no—
634C4⋊C4—516no—
635C4⋊C4—532no—
636C4⋊C4—532no—
637C4⋊C4—516no—
638C4⋊C4C23×D518yes—
639C4⋊C4C23×D5116yes—
640C22⋊C4—58no—
641C22⋊C4—58no—
642C22⋊C4—516no—
643C22⋊C4—516no—
644C22⋊C4—532no—
645C22⋊C4—516no—
646C22⋊C4—532no—
647C22⋊C4C23×D518yes—
648C22⋊C4C23×D5132yes—
649C42—54no—
650C42—52no—
651C42—516no—
652C42—58no—
653C42—54no—
654C42—52no—
655C42—58no—
656C42—516no—
657C42—58no—
658C42—51no—
659C42—52no—
660C42—51no—
661C42—58no—
662C42C23×D514yes—
663C42C23×D514yes—
664C2×C5—22no—
665C2×C5—24no—
666C2×C5—48no—
667C2×C5C23×#4111yescharacteristic
668C2×C5C2×#58512yes—
669D5—44no—
670C23—28no—
671C23—42no—
672C23—48no—
673C23—54no—
674C23—104no—
675C23—204no—
676C23C2×#71114yes—
677C23C24×D518yes—
678C23C24×D511yescharacteristic
679C23C24×D512yes—
680Q8—28no—
681Q8—28no—
682Q8—108no—
683Q8—2016no—
684D4—216no—
685D4—216no—
686D4—28no—
687D4—28no—
688D4—416no—
689D4—1016no—
690D4—108no—
691D4—2032no—
692C2×C4—28no—
693C2×C4—216no—
694C2×C4—216no—
695C2×C4—44no—
696C2×C4—52no—
697C2×C4—52no—
698C2×C4—54no—
699C2×C4—54no—
700C2×C4—516no—
701C2×C4—1016no—
702C2×C4—104no—
703C2×C4—108no—
704C2×C4—1032no—
705C2×C4—104no—
706C2×C4—108no—
707C2×C4—108no—
708C2×C4—208no—
709C2×C4—202no—
710C2×C4—204no—
711C2×C4—2016no—
712C2×C4—208no—
713C2×C4C2×#71118yes—
714C2×C4C2×#71114yes—
715C2×C4C2×#71118yes—
716C2×C4C2×#71114yes—
717C2×C4C24×D518yes—
718C2×C4C24×D518yes—
719C2×C4C24×D512yes—
720C2×C4C24×D511yescharacteristic
721C2×C4C24×D511yescharacteristic
722C5#6268611yescharacteristic, complemented, Sylow
723C22—22no—
724C22—24no—
725C22—28no—
726C22—216no—
727C22—44no—
728C22—416no—
729C22—104no—
730C22—108no—
731C22—208no—
732C22C22×#71114yes—
733C22C22×#71112yes—
734C22C25×D511yescharacteristic
735C4—28no—
736C4—28no—
737C4—54no—
738C4—104no—
739C4—102no—
740C4—104no—
741C4—1016no—
742C4C22×#71112yes—
743C4C22×#71114yes—
744C4C22×#71112yes—
745C2—24no—
746C2—22no—
747C2—48no—
748C2—204no—
749C2C23×#71111yescharacteristic
750C2D5×#58512yes—
subgroupG/H
centerC2×C4C24×D5
commutator, socle, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC5×#3449C2
hypercenter#3449D5
hypocenterC5#62686
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. #10619169C2semidirect
3. C2×#41×Dic5C2semidirect
4. #10618266C2semidirect
5. #10618265C2semidirect
6. #10618240C2semidirect
7. #10618215C2semidirect
8. #10618196C2semidirect
9. #10618137C2semidirect
10. #10618120C2semidirect
11. #10617920C2semidirect
12. #10617919C2semidirect
13. #10617626C2semidirect
14. C2×#65856C2semidirect
18. C5×#536C22semidirect
19. C5×#535C22semidirect
22. C5×#525C22semidirect
26. #66164C22semidirect
27. #66162C22semidirect
28. #41×Dic5C22semidirect
29. #41×Dic5C22semidirect
30. #41×Dic5C22semidirect
31. #41×Dic5C22semidirect
32. #41×Dic5C22semidirect
33. #41×Dic5C22semidirect
34. #66159C22semidirect
35. #66150C22semidirect
36. C2×Q8×Dic5C22semidirect
37. #66139C22semidirect
40. C2×D4×Dic5C22semidirect
41. #66125C22semidirect
43. C2×#4072C22semidirect
45. C22×C4×Dic5C22semidirect
46. #66065C22semidirect
47. #66062C22semidirect
48. #66053C22semidirect
49. #66050C22semidirect
50. #66016C22semidirect
51. #66014C22semidirect
52. #65999C22semidirect
53. #65983C22semidirect
54. #65977C22semidirect
55. #65959C22semidirect
56. #65958C22semidirect
57. #65956C22semidirect
58. #65953C22semidirect
59. #65951C22semidirect
60. #65940C22semidirect
61. #65937C22semidirect
62. #65936C22semidirect
63. #65934C22semidirect
64. #65934C22semidirect
65. #65930C22semidirect
66. #65927C22semidirect
67. #65920C22semidirect
68. #65891C22semidirect
69. #65872C22semidirect
70. C4×#711C22semidirect
71. #65856C22semidirect
72. #65856C22semidirect
73. #65856C22semidirect
74. #65853C22semidirect
75. #65851C22semidirect
76. C2×#4039C22semidirect
77. #65834C22semidirect
78. C2×#4033C22semidirect
81. C2×#4018C22semidirect
82. C2×C42×D5C22semidirect
83. #65804C22semidirect
217. #3449D5semidirect
240. C22×C4×C5#41semidirect
330. #536C2×D5semidirect
333. #535C2×D5semidirect
355. #525C2×D5semidirect
621. C22×C4#711semidirect
722. C5#62686semidirect

Maximal subgroups

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

subgroupindex
C5×#34492
#106191692
C2×#41×Dic52
#106182662
#106182652
#106182402
#106182152
#106181962
#106181372
#106181202
#106179202
#106179192
#106176262
C2×#658562
#626865