Finite Group Databasebeta

← #29459266

Subgroups — #29459266

Order 15104.

2394 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837913C212yesmaximal, complemented
2#21434889C214yesmaximal, complemented
3#21434879C214yesmaximal, complemented
4#21434871C211yesmaximal, characteristic, complemented
5#21434863C214yesmaximal, complemented
6#21434854C212yesmaximal, complemented
7#21434847C211yesmaximal, characteristic, complemented
8#21434011C214yesmaximal, complemented
9#21433677C214yesmaximal, complemented
10#21433318C214yesmaximal, complemented
11C22×C22⋊C8×C59C211yesmaximal, characteristic, complemented
12C22×#11745685C2212yescomplemented
13C2×#14273749C2214yescomplemented
14#16837913—22no—
15#16837913—22no—
16#16837913—22no—
17#16837913—22no—
18#16837913C2214yes—
19#16837913C2214yes—
20#16837913C2214yescomplemented
21#16837913C2214yescomplemented
22C2×#14273710—22no—
23C2×#14273706C2212yes—
24C2×#14273706C2212yescomplemented
25C2×#14273701C2212yes—
26C2×#14273701C2212yescomplemented
27C2×#14273696—22no—
28C2×C4×C22⋊D59—22no—
29C2×C4×C22⋊D59—22no—
30C2×#14273686C2212yescomplemented
31#16837744C2218yescomplemented
32#16837738C2214yescomplemented
33#16837733C2214yescomplemented
34#16837727C2218yescomplemented
35#16837721C2214yescomplemented
36#16837716C2214yescomplemented
37#16837643C2214yescomplemented
38#16837643C2214yescomplemented
39#16837638C2214yescomplemented
40#16837638C2214yescomplemented
41#16837631C2218yescomplemented
42#16837631C2218yescomplemented
43#16837566C2218yescomplemented
44#16837560C2214yescomplemented
45#16837555C2214yescomplemented
46#16837549C2218yescomplemented
47#16837543C2214yescomplemented
48#16837538C2214yescomplemented
49#16837440C2214yescomplemented
50#16837399C2218yescomplemented
51C24×C4×C59C2211yescharacteristic
52C23×C8×C59C2212yescomplemented
53C2×C22⋊C8×C59C2211yescharacteristic
54C2×C22⋊C8×C59C2211yescharacteristic
55C2×C22⋊C8×C59C2212yescomplemented
56C2×C22⋊C8×C59C2214yescomplemented
57C2×C22⋊C8×C59C2214yescomplemented
58C2×#11745685—22no—
59C2×#11745685—22no—
60C2×#11745685—48no—
61C2×#11745685C2314yes—
62C2×#11745685C2314yes—
63C22×Dic118C2312yes—
64C22×D236C2312yes—
65C22×C22⋊D59—22no—
66C22×C22⋊D59—22no—
67C22×C22⋊D59—22no—
68C22×C4×D59—22no—
69#14273749—48no—
70C2×Dic236C2314yescomplemented
71C2×#11745660C2318yescomplemented
72C2×D472C2314yescomplemented
73#14273710—24no—
74#14273710—24no—
75#14273710—24no—
76#14273710—24no—
77#14273706—22no—
78#14273706—22no—
79#14273706—22no—
80#14273706—22no—
81#14273706C2314yes—
82#14273706C2314yes—
83#14273706C2314yes—
84#14273706C2314yes—
85#14273701—22no—
86#14273701—22no—
87#14273701—22no—
88#14273701—22no—
89#14273701C2314yes—
90#14273701C2314yes—
91#14273701C2314yes—
92#14273701C2314yes—
93#14273696—24no—
94#14273696—24no—
95#14273696—24no—
96#14273696—24no—
97C4×C22⋊D59—24no—
98C4×C22⋊D59—24no—
99C4×C22⋊D59—24no—
100C4×C22⋊D59—24no—
101C4×C22⋊D59—24no—
102C4×C22⋊D59—24no—
103C4×C22⋊D59—24no—
104C4×C22⋊D59—24no—
105#14273686—22no—
106#14273686—22no—
107#14273686C2314yes—
108#14273686C2314yes—
109C2×C4⋊Dic59C2312yes—
110C2×C4⋊Dic59C2312yes—
111C2×Dic59⋊C4—22no—
112C2×Dic59⋊C4—22no—
113C2×C22⋊Dic59—22no—
114C2×C22⋊Dic59—22no—
115C2×C22⋊Dic59—22no—
116C2×(C2×D59)⋊C4—22no—
117C2×(C2×D59)⋊C4—22no—
118C2×C4×Dic59—22no—
119#14273661C2314yescomplemented
120#14273661C2314yescomplemented
121#14273659C2318yescomplemented
122#14273652C2318yescomplemented
123#14273652C2318yescomplemented
124#14273649C2318yescomplemented
125#14273649C2318yescomplemented
126C25×C59D411yescharacteristic
127C23×C4×C59—44no—
128C23×C4×C59D412yes—
129C23×C4×C59D411yescharacteristic
130C23×C4×C59D411yescharacteristic
131C23×C4×C59D412yes—
132C23×C4×C59D411yescharacteristic
133C23×C4×C59C2312yes—
134C23×C4×C59C2311yescharacteristic
135C23×C4×C59C2311yescharacteristic
136C23×C4×C59C2312yes—
137C23×C4×C59C2311yescharacteristic
138C22×C8×C59—44no—
139C22×C8×C59C2314yes—
140C22×C8×C59C2312yes—
141C22×C8×C59C2314yes—
142C22×C8×C59C2312yes—
143C22⋊C8×C59C2314yes—
144C22⋊C8×C59C2314yes—
145C22⋊C8×C59C2318yes—
146C24×C59—24no—
147C24×C59—42no—
148C24×C59—42no—
149C24×C59C2×D411yescharacteristic
150C24×C59C2×D412yes—
151C24×C59C2×D412yes—
152C24×C59C2×D411yescharacteristic
153C24×C59C2×D411yescharacteristic
154C23×D59—22no—
155C22×C4×C59—24no—
156C22×C4×C59—28no—
157C22×C4×C59—42no—
158C22×C4×C59—44no—
159C22×C4×C59—42no—
160C22×C4×C59—42no—
161C22×C4×C59—44no—
162C22×C4×C59—42no—
163C22×C4×C59—42no—
164C22×C4×C59—44no—
165C22×C4×C59C2×D412yes—
166C22×C4×C59C2×D412yes—
167C22×C4×C59C2×D412yes—
168C22×C4×C59C2×D411yescharacteristic
169C22×C4×C59C2×D411yescharacteristic
170C22×C4×C59C2×D411yescharacteristic
171C22×C4×C59C2×D412yes—
172C22×C4×C59C2×D412yes—
173C22×C4×C59C2×D411yescharacteristic
174C22×C4×C59C2×D412yes—
175C22×C4×C59C2×D412yes—
176C22×C4×C59C2×D411yescharacteristic
177C22×C4×C59C2×D412yes—
178C22×C4×C59C2412yes—
179C22×C4×C59C2412yes—
180C22×C4×C59C2411yescharacteristic
181C22×C4×C59C2411yescharacteristic
182C22×C4×C59C2411yescharacteristic
183C2×C22⋊D59—24no—
184C2×C22⋊D59—24no—
185C2×C22⋊D59—24no—
186C2×C22⋊D59—24no—
187C2×C22⋊D59—24no—
188C2×C22⋊D59—24no—
189C2×C22⋊D59—48no—
190C2×C22⋊D59—48no—
191C2×C22⋊D59—48no—
192C22×Dic59—22no—
193C22×Dic59—22no—
194C22×Dic59—22no—
195#11745685—216no—
196#11745685—48no—
197#11745685—48no—
198#11745685—48no—
199C2×D236—22no—
200C2×D236—44no—
201C2×D236C2414yes—
202C2×C4×D59—24no—
203C2×C4×D59—24no—
204C2×C4×D59—48no—
205C2×Dic118—22no—
206C2×Dic118—44no—
207C2×Dic118C2414yes—
208C2×C8×C59—28no—
209C2×C8×C59—42no—
210C2×C8×C59—44no—
211C2×C8×C59—42no—
212C2×C8×C59C2414yes—
213C2×C8×C59C2414yes—
214C22⋊Dic59—24no—
215C22⋊Dic59—24no—
216C22⋊Dic59—24no—
217C22⋊Dic59—24no—
218C22⋊Dic59—24no—
219C22⋊Dic59—24no—
220(C2×D59)⋊C4—24no—
221(C2×D59)⋊C4—24no—
222(C2×D59)⋊C4—24no—
223(C2×D59)⋊C4—24no—
224C4⋊Dic59—22no—
225C4⋊Dic59—22no—
226C4⋊Dic59C2414yes—
227C4⋊Dic59C2414yes—
228Dic59⋊C4—24no—
229Dic59⋊C4—24no—
230Dic59⋊C4—24no—
231Dic59⋊C4—24no—
232C4×Dic59—24no—
233C4×Dic59—24no—
234Dic236—44no—
235D472—44no—
236#11745660—48no—
237C23×C59—22no—
238C23×C59—22no—
239C23×C59—22no—
240C23×C59—24no—
241C23×C59—24no—
242C23×C59—24no—
243C23×C59—22no—
244C23×C59—24no—
245C23×C59—41no—
246C23×C59—42no—
247C23×C59—41no—
248C23×C59—41no—
249C23×C59—42no—
250C23×C59—41no—
251C23×C59—416no—
252C23×C59#13514yescomplemented
253C23×C59C22×D412yes—
254C23×C59C22×D411yescharacteristic
255C23×C59C22×D411yescharacteristic
256C23×C59C22×D412yes—
257C23×C59C22×D411yescharacteristic
258C22×D59—24no—
259C22×D59—44no—
260C22×D59—44no—
261C22×D59—44no—
262C2×C4×C59—24no—
263C2×C4×C59—22no—
264C2×C4×C59—24no—
265C2×C4×C59—24no—
266C2×C4×C59—22no—
267C2×C4×C59—22no—
268C2×C4×C59—22no—
269C2×C4×C59—22no—
270C2×C4×C59—24no—
271C2×C4×C59—24no—
272C2×C4×C59—41no—
273C2×C4×C59—42no—
274C2×C4×C59—42no—
275C2×C4×C59—42no—
276C2×C4×C59—41no—
277C2×C4×C59—42no—
278C2×C4×C59—42no—
279C2×C4×C59C22×D412yes—
280C2×C4×C59C22×D411yescharacteristic
281C2×C4×C59C22×D411yescharacteristic
282C2×C4×C59C22×D412yes—
283C2×C4×C59C22×D411yescharacteristic
284C2×C4×C59H(5,𝔽2)14yes—
285C2×C4×C59C2511yescharacteristic
286C22⋊D59—48no—
287C22⋊D59—48no—
288C22⋊D59—48no—
289C22⋊D59—48no—
290C22⋊D59—48no—
291C22⋊D59—48no—
292C2×Dic59—24no—
293C2×Dic59—24no—
294C2×Dic59—24no—
295C2×Dic59—44no—
296C2×Dic59—44no—
297C2×Dic59—44no—
298D236—28no—
299D236—44no—
300C4×D59—48no—
301C4×D59—48no—
302Dic118—28no—
303Dic118—44no—
304C8×C59—24no—
305C8×C59—24no—
306#60734—591nomaximal, Sylow
307C22×C59—28no—
308C22×C59—22no—
309C22×C59—21no—
310C22×C59—21no—
311C22×C59—21no—
312C22×C59—21no—
313C22×C59—22no—
314C22×C59—21no—
315C22×C59—21no—
316C22×C59—22no—
317C22×C59—22no—
318C22×C59—22no—
319C22×C59—44no—
320C22×C59—48no—
321C22×C59—48no—
322C22×C59—44no—
323C22×C59#53412yes—
324C22×C59C2×#13514yes—
325C22×C59C2×#13512yes—
326C22×C59#57512yes—
327C22×C59C23×D411yescharacteristic
328C2×D59—44no—
329C2×D59—44no—
330C2×D59—44no—
331C2×D59—88no—
332C4×C59—22no—
333C4×C59—22no—
334C4×C59—21no—
335C4×C59—21no—
336C4×C59#53412yes—
337C4×C59C2×H(5,𝔽2)12yes—
338Dic59—44no—
339Dic59—44no—
340Dic59—44no—
341C2×#525—592no—
342#3191—594no—
343#3190—594no—
344#3189—591no—
345#3188—594no—
346#3187—592no—
347#3186—591no—
348#3091—594no—
349#3050—594no—
350#3002—594no—
351C22×C22⋊C8D5911yescharacteristic, complemented
352C2×C59—24no—
353C2×C59—22no—
354C2×C59—22no—
355C2×C59—22no—
356C2×C59—42no—
357C2×C59C2×#53411yescharacteristic
358C2×C59C22×#13511yescharacteristic
359C2×C59C2×#57511yescharacteristic
360D59—84no—
361C22×#41—592no—
362C24×C4C2×D5911yescharacteristic
363C2×#135—594no—
364C23×C8C2×D5912yescomplemented
365#525—594no—
366#525—594no—
367#525—594no—
368#525—594no—
369#525—1182no—
370#525—1182no—
371#525—1182no—
372#525—1182no—
373C2×#123—1182no—
374C2×C22⋊Q8—592no—
375C2×C22⋊Q8—592no—
376C2×#121—592no—
377C2×#121—592no—
378C2×#120—1182no—
379C2×C4×D4—1182no—
380C2×C4×D4—1182no—
381C2×#117—592no—
382#485—598no—
383#484—594no—
384#483—594no—
385#482—598no—
386#481—594no—
387#480—594no—
388#467—594no—
389#467—594no—
390#466—594no—
391#466—594no—
392#465—598no—
393#465—598no—
394#452—598no—
395#451—594no—
396#450—594no—
397#449—598no—
398#448—594no—
399#447—594no—
400#427—594no—
401#416—598no—
402C2×C22⋊C8C2×D5911yescharacteristic
403C2×C22⋊C8C2×D5911yescharacteristic
404C2×C22⋊C8C2×D5914yescomplemented
405C2×C22⋊C8C2×D5914yescomplemented
406C2×C22⋊C8C2×D5912yescomplemented
407C59#6073411yescharacteristic, complemented, Sylow
408C25D23611yescharacteristic
409C2×#41—594no—
410C2×#41—594no—
411C2×#41—1182no—
412C2×#41—1182no—
413C2×#41—2368no—
414C22×Q8—592no—
415C22×D4—592no—
416C22×D4—1182no—
417C22×D4—1182no—
418C22×D4—1182no—
419C23×C4—44no—
420C23×C4—1182no—
421C23×C4D23611yescharacteristic
422C23×C4D23612yes—
423C23×C4D23612yes—
424C23×C4D23611yescharacteristic
425C23×C4D23611yescharacteristic
426C23×C4C22×D5912yes—
427C23×C4C22×D5911yescharacteristic
428C23×C4C22×D5911yescharacteristic
429C23×C4C22×D5912yes—
430C23×C4C22×D5911yescharacteristic
431#135—2368no—
432C2×Q16—594no—
433C2×SD16—598no—
434C2×D8—594no—
435C22×C8—44no—
436C22×C8C22×D5914yes—
437C22×C8C22×D5912yes—
438C22×C8C22×D5912yes—
439C22×C8C22×D5914yes—
440#123—1184no—
441#123—1184no—
442#123—1184no—
443#123—1184no—
444C22⋊Q8—594no—
445C22⋊Q8—594no—
446C22⋊Q8—594no—
447C22⋊Q8—594no—
448C22⋊Q8—1182no—
449C22⋊Q8—1182no—
450C22⋊Q8—1182no—
451C22⋊Q8—1182no—
452#121—594no—
453#121—594no—
454#121—594no—
455#121—594no—
456#121—1182no—
457#121—1182no—
458#121—1182no—
459#121—1182no—
460#120—1184no—
461#120—1184no—
462#120—1184no—
463#120—1184no—
464C4×D4—1184no—
465C4×D4—1184no—
466C4×D4—1184no—
467C4×D4—1184no—
468C4×D4—1184no—
469C4×D4—1184no—
470C4×D4—1184no—
471C4×D4—1184no—
472#117—594no—
473#117—594no—
474#117—1182no—
475#117—1182no—
476C2×C4⋊C4—592no—
477C2×C4⋊C4—592no—
478C2×C4⋊C4—1182no—
479C2×C4⋊C4—1182no—
480C2×C22⋊C4—1182no—
481C2×C22⋊C4—1182no—
482C2×C22⋊C4—1182no—
483C2×C22⋊C4—1182no—
484C2×C22⋊C4—1182no—
485C2×C42—1182no—
486#107—594no—
487#107—594no—
488#106—598no—
489#103—598no—
490#103—598no—
491#102—598no—
492#102—598no—
493C22⋊C8C22×D5914yes—
494C22⋊C8C22×D5914yes—
495C22⋊C8C22×D5918yes—
496C24—24no—
497C24—42no—
498C24—42no—
499C24—1182no—
500C24C2×D23611yescharacteristic
501C24C2×D23612yes—
502C24C2×D23612yes—
503C24C2×D23611yescharacteristic
504C24C2×D23611yescharacteristic
505#41—11816no—
506#41—2368no—
507#41—2368no—
508#41—2368no—
509C2×Q8—594no—
510C2×Q8—1182no—
511C2×Q8—2364no—
512C2×D4—594no—
513C2×D4—1184no—
514C2×D4—1184no—
515C2×D4—1184no—
516C2×D4—1184no—
517C2×D4—1184no—
518C2×D4—1184no—
519C2×D4—1182no—
520C2×D4—2364no—
521C2×D4—2368no—
522C2×D4—2368no—
523C2×D4—2368no—
524C22×C4—24no—
525C22×C4—28no—
526C22×C4—42no—
527C22×C4—44no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—44no—
531C22×C4—42no—
532C22×C4—44no—
533C22×C4—42no—
534C22×C4—1182no—
535C22×C4—1182no—
536C22×C4—1182no—
537C22×C4—1184no—
538C22×C4—1184no—
539C22×C4—2368no—
540C22×C4C2×D23612yes—
541C22×C4C2×D23611yescharacteristic
542C22×C4C2×D23612yes—
543C22×C4C2×D23612yes—
544C22×C4C2×D23611yescharacteristic
545C22×C4C2×D23611yescharacteristic
546C22×C4C2×D23612yes—
547C22×C4C2×D23612yes—
548C22×C4C2×D23611yescharacteristic
549C22×C4C2×D23612yes—
550C22×C4C2×D23612yes—
551C22×C4C2×D23611yescharacteristic
552C22×C4C2×D23612yes—
553C22×C4C23×D5912yes—
554C22×C4C23×D5912yes—
555C22×C4C23×D5911yescharacteristic
556C22×C4C23×D5911yescharacteristic
557C22×C4C23×D5911yescharacteristic
558Q16—2364no—
559SD16—2368no—
560D8—2364no—
561C2×C8—28no—
562C2×C8—42no—
563C2×C8—44no—
564C2×C8—42no—
565C2×C8C23×D5914yes—
566C2×C8C23×D5914yes—
567C4⋊C4—594no—
568C4⋊C4—594no—
569C4⋊C4—1182no—
570C4⋊C4—1182no—
571C4⋊C4—1184no—
572C4⋊C4—1184no—
573C4⋊C4—1184no—
574C4⋊C4—1184no—
575C22⋊C4—1184no—
576C22⋊C4—1184no—
577C22⋊C4—1184no—
578C22⋊C4—1184no—
579C22⋊C4—1184no—
580C22⋊C4—1184no—
581C22⋊C4—1184no—
582C22⋊C4—1184no—
583C22⋊C4—1184no—
584C22⋊C4—1184no—
585C42—1184no—
586C42—1184no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—24no—
591C23—24no—
592C23—22no—
593C23—24no—
594C23—24no—
595C23—41no—
596C23—42no—
597C23—41no—
598C23—41no—
599C23—42no—
600C23—41no—
601C23—416no—
602C23—1184no—
603C23—2364no—
604C23—2364no—
605C23—2364no—
606C23#1427374914yescomplemented
607C23C22×D23612yes—
608C23C22×D23611yescharacteristic
609C23C22×D23612yes—
610C23C22×D23611yescharacteristic
611C23C22×D23611yescharacteristic
612Q8—1188no—
613Q8—2364no—
614D4—1188no—
615D4—2364no—
616D4—2368no—
617D4—2368no—
618D4—2368no—
619D4—2368no—
620D4—2368no—
621D4—2368no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—1184no—
640C2×C4—1184no—
641C2×C4—1184no—
642C2×C4—2368no—
643C2×C4—2364no—
644C2×C4—2364no—
645C2×C4—2364no—
646C2×C4—2368no—
647C2×C4C22×D23612yes—
648C2×C4C22×D23611yescharacteristic
649C2×C4C22×D23611yescharacteristic
650C2×C4C22×D23612yes—
651C2×C4C22×D23611yescharacteristic
652C2×C4#1427377214yes—
653C2×C4C24×D5911yescharacteristic
654C8—24no—
655C8—24no—
656C22—28no—
657C22—21no—
658C22—21no—
659C22—22no—
660C22—21no—
661C22—21no—
662C22—22no—
663C22—21no—
664C22—21no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—44no—
669C22—48no—
670C22—48no—
671C22—44no—
672C22—4728no—
673C22—2364no—
674C22—2364no—
675C22—2364no—
676C22#1683796412yes—
677C22C2×#1427374914yes—
678C22C2×#1427374912yes—
679C22#1683820212yes—
680C22C23×D23611yescharacteristic
681C4—22no—
682C4—22no—
683C4—21no—
684C4—21no—
685C4—2364no—
686C4—2364no—
687C4—2364no—
688C4#1683796412yes—
689C4C2×#1427377212yes—
690C2—22no—
691C2—22no—
692C2—22no—
693C2—24no—
694C2—42no—
695C2—4724no—
696C2C2×#1683796411yescharacteristic
697C2C22×#1427374911yescharacteristic
698C2C2×#1683820211yescharacteristic
subgroupG/H
centerC2×C4C22×D236
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC22×C22⋊C8×C59C2
socleC22×C59C23×D4
hypercenterC22×C22⋊C8D59
hypocenterC59#60734
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C24×C4 ◁ C22×C22⋊C8

Complements

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

NH ≅ G/Ntype
1. C2×#16837913C2semidirect
2. #21434889C2semidirect
3. #21434879C2semidirect
4. #21434871C2semidirect
5. #21434863C2semidirect
6. #21434854C2semidirect
7. #21434847C2semidirect
8. #21434011C2semidirect
9. #21433677C2semidirect
10. #21433318C2semidirect
11. C22×C22⋊C8×C59C2semidirect
12. C22×#11745685C22semidirect
13. C2×#14273749C22semidirect
20. #16837913C22semidirect
21. #16837913C22semidirect
24. C2×#14273706C22semidirect
26. C2×#14273701C22semidirect
30. C2×#14273686C22semidirect
31. #16837744C22semidirect
32. #16837738C22semidirect
33. #16837733C22semidirect
34. #16837727C22semidirect
35. #16837721C22semidirect
36. #16837716C22semidirect
37. #16837643C22semidirect
38. #16837643C22semidirect
39. #16837638C22semidirect
40. #16837638C22semidirect
41. #16837631C22semidirect
42. #16837631C22semidirect
43. #16837566C22semidirect
44. #16837560C22semidirect
45. #16837555C22semidirect
46. #16837549C22semidirect
47. #16837543C22semidirect
48. #16837538C22semidirect
49. #16837440C22semidirect
50. #16837399C22semidirect
52. C23×C8×C59C22semidirect
55. C2×C22⋊C8×C59C22semidirect
56. C2×C22⋊C8×C59C22semidirect
57. C2×C22⋊C8×C59C22semidirect
70. C2×Dic236C23semidirect
71. C2×#11745660C23semidirect
72. C2×D472C23semidirect
119. #14273661C23semidirect
120. #14273661C23semidirect
121. #14273659C23semidirect
122. #14273652C23semidirect
123. #14273652C23semidirect
124. #14273649C23semidirect
125. #14273649C23semidirect
252. C23×C59#135semidirect
351. C22×C22⋊C8D59semidirect
364. C23×C8C2×D59semidirect
404. C2×C22⋊C8C2×D59semidirect
405. C2×C22⋊C8C2×D59semidirect
406. C2×C22⋊C8C2×D59semidirect
407. C59#60734semidirect
606. C23#14273749semidirect

Maximal subgroups

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

subgroupindex
C2×#168379132
#214348892
#214348792
#214348712
#214348632
#214348542
#214348472
#214340112
#214336772
#214333182
C22×C22⋊C8×C592
#6073459