Finite Group Databasebeta

← #28605979

Subgroups — #28605979

Order 15104.

1038 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837401C211yesmaximal, characteristic
2#21426927C211yesmaximal, characteristic
3#21424785C211yesmaximal, characteristic, complemented
4#21424771C211yesmaximal, characteristic, complemented
5#21424737C211yesmaximal, characteristic, complemented
6#21424730C211yesmaximal, characteristic, complemented
7#21424356C211yesmaximal, characteristic, complemented
8#21424342C211yesmaximal, characteristic, complemented
9#21424186C211yesmaximal, characteristic, complemented
10#21424127C211yesmaximal, characteristic, complemented
11#21424034C211yesmaximal, characteristic
12#21423924C211yesmaximal, characteristic, complemented
13C4×#14273647C211yesmaximal, characteristic, complemented
14#21423880C211yesmaximal, characteristic, complemented
15C59×#2344C211yesmaximal, characteristic, complemented
16C22×#11745685C2211yescharacteristic
17C22×#11745664C2211yescharacteristic
18C2×C4×D236C2211yescharacteristic
19C2×C4×D236C2211yescharacteristic
20C2×#14273660C2211yescharacteristic
21C2×#14273658C2211yescharacteristic
22#16837401C418yescomplemented
23C2×#14273650C2211yescharacteristic
24C2×#14273650C2211yescharacteristic
25C2×#14273650C2211yescharacteristic
26C2×#14273650C2211yescharacteristic
27C2×#14273647C2211yescharacteristic
28C2×#14273647C2211yescharacteristic
29C2×#14273647C2211yescharacteristic
30C2×#14273647C2211yescharacteristic
31C2×C22⋊(C59⋊C8)C2211yescharacteristic
32C2×#14273638C2211yescharacteristic
33C2×C4×C59⋊C8C2211yescharacteristic
34#16837308C2211yescharacteristic
35#16837308C2211yescharacteristic
36#16837278—21no—
37#16837278—21no—
38#16837264—21no—
39#16837262C2211yescharacteristic
40#95×D59—21no—
41#16837164C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837157C2211yescharacteristic
48#16837157C2211yescharacteristic
49C2×#117×C59—21no—
50C22×C4⋊C4×C59C2211yescharacteristic
51C59×#389C2211yescharacteristic
52C59×#389C2211yescharacteristic
53C59×#387—21no—
54C59×#387—21no—
55C59×#381—21no—
56C59×#380C2211yescharacteristic
57C4×C4⋊C4×C59C2211yescharacteristic
58C4×C4⋊C4×C59C2211yescharacteristic
59C4×C22⋊C4×C59C2211yescharacteristic
60C2×#11745685—22no—
61C2×#11745685—22no—
62C2×#11745685—22no—
63C2×#11745685—41no—
64C2×#11745685—41no—
65C2×#11745685C2×C414yes—
66C22×Dic118C2311yescharacteristic
67C22×D236C2311yescharacteristic
68C22×C22⋊D59—21no—
69C22×C4×D59—21no—
70C22×C4×D59—21no—
71C22×C4×D59—21no—
72C2×#11745664—41no—
73C2×#11745664—41no—
74C2×#11745664C2×C414yescomplemented
75C22×C59⋊C8C2311yescharacteristic
76C22×C59⋊C8C2311yescharacteristic
77C22×C59⋊C8C2311yescharacteristic
78C22×C59⋊C8C2311yescharacteristic
79C4×D236—22no—
80C4×D236—22no—
81C4×D236—41no—
82C4×D236—41no—
83C2×C4⋊Dic59C2311yescharacteristic
84C2×C4⋊Dic59C2311yescharacteristic
85C2×C22⋊Dic59—21no—
86C2×(C2×D59)⋊C4—21no—
87C2×(C2×D59)⋊C4—21no—
88#14273660—41no—
89#14273658—41no—
90#14273650—41no—
91#14273650—41no—
92#14273650C2×C414yescomplemented
93#14273650C2×C414yescomplemented
94#14273647—22no—
95#14273647—22no—
96#14273647C2×C414yes—
97#14273647C2×C414yes—
98C22⋊(C59⋊C8)—22no—
99#14273638—41no—
100C4×C59⋊C8—41no—
101C59⋊#95—21no—
102C59⋊#95—21no—
103C59⋊#95—21no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C23×C4×C59—21no—
107C23×C4×C59C2311yescharacteristic
108#117×C59—44no—
109C2×C4⋊C4×C59—21no—
110C2×C4⋊C4×C59—22no—
111C2×C4⋊C4×C59—21no—
112C2×C4⋊C4×C59—21no—
113C2×C4⋊C4×C59C2×C414yescomplemented
114C2×C4⋊C4×C59C2311yescharacteristic
115C2×C4⋊C4×C59C2311yescharacteristic
116C2×C4⋊C4×C59C2311yescharacteristic
117C2×C4⋊C4×C59C2311yescharacteristic
118C2×C22⋊C4×C59—21no—
119C2×C22⋊C4×C59D411yescharacteristic
120C2×C22⋊C4×C59D411yescharacteristic
121C2×C42×C59—21no—
122C2×C42×C59—21no—
123C2×C42×C59C2311yescharacteristic
124C2×C42×C59C2311yescharacteristic
125#95×C59—21no—
126#95×C59—21no—
127#95×C59—21no—
128#95×C59—21no—
129#95×C59—21no—
130#95×C59D411yescharacteristic
131#95×C59D411yescharacteristic
132C24×C59C2×D411yescharacteristic
133C23×D59—21no—
134C22×C4×C59—21no—
135C22×C4×C59—21no—
136C22×C4×C59—21no—
137C22×C4×C59—21no—
138C22×C4×C59—24no—
139C22×C4×C59—21no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59—42no—
144C22×C4×C59—42no—
145C22×C4×C59C22×C412yes—
146C22×C4×C59C2×D411yescharacteristic
147C22×C4×C59C2×D411yescharacteristic
148C22×C4×C59C2×D411yescharacteristic
149C22×C4×C59C2×D411yescharacteristic
150C22×C4×C59C2×D411yescharacteristic
151C22×C4×C59#4112yes—
152C22×C4×C59C2411yescharacteristic
153C2×C22⋊D59—24no—
154C2×C22⋊D59—42no—
155C2×C22⋊D59—42no—
156C22×Dic59—21no—
157C22×Dic59—21no—
158C22×Dic59—21no—
159#11745685—28no—
160#11745685—44no—
161#11745685—44no—
162#11745685—44no—
163C2×D236—21no—
164C2×D236—21no—
165C2×D236—21no—
166C2×D236C22×C412yes—
167C2×D236#4112yes—
168C2×D236#4112yes—
169C2×C4×D59—24no—
170C2×C4×D59—42no—
171C2×C4×D59—42no—
172C2×C4×D59—42no—
173C2×C4×D59—42no—
174C2×C4×D59—42no—
175C2×C4×D59—42no—
176C2×C4×D59—81no—
177C2×C4×D59—81no—
178C2×Dic118—21no—
179C2×Dic118—21no—
180C2×Dic118—21no—
181C2×Dic118—21no—
182C2×Dic118—21no—
183C2×Dic118C22×C412yes—
184C4⋊C4×C59—24no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—21no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—21no—
190C4⋊C4×C59—21no—
191C4⋊C4×C59—42no—
192C4⋊C4×C59—42no—
193C4⋊C4×C59C22×C412yes—
194C4⋊C4×C59C22×C412yes—
195C22⋊C4×C59—22no—
196C22⋊C4×C59—41no—
197C22⋊C4×C59—42no—
198C42×C59—21no—
199C42×C59—21no—
200C42×C59—21no—
201C42×C59—21no—
202C42×C59—42no—
203C42×C59—42no—
204C22⋊Dic59—81no—
205(C2×D59)⋊C4—42no—
206(C2×D59)⋊C4—42no—
207C4⋊Dic59—21no—
208C4⋊Dic59—21no—
209C4⋊Dic59—21no—
210C4⋊Dic59—21no—
211#11745664—44no—
212C2×C59⋊C8—21no—
213C2×C59⋊C8—21no—
214C2×C59⋊C8—21no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8C22×C412yes—
223C2×C59⋊C8C22×C412yes—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59C4×D412yes—
231C23×C59C22×D411yescharacteristic
232C22×D59—22no—
233C22×D59—22no—
234C22×D59—22no—
235C22×D59—41no—
236C22×D59—41no—
237C22×D59—41no—
238C22×D59—41no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—21no—
243C2×C4×C59—22no—
244C2×C4×C59—22no—
245C2×C4×C59—22no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—22no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—48no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59—41no—
265C2×C4×C59—41no—
266C2×C4×C59—41no—
267C2×C4×C59—41no—
268C2×C4×C59—41no—
269C2×C4×C59C4×D412yes—
270C2×C4×C59AGL(1,ℤ/8)12yes—
271C2×C4×C59C23×C411yescharacteristic
272C2×C4×C59C2×#4111yescharacteristic
273C2×C4×C59C2×#4111yescharacteristic
274C2×C4×C59C2×#4111yescharacteristic
275C2×C4×C59H(5,𝔽2)11yescharacteristic
276C2×C4×C59H(5,𝔽2)11yescharacteristic
277C22⋊D59—48no—
278C2×Dic59—22no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287D236—22no—
288D236—22no—
289D236—22no—
290D236#11714yescomplemented
291C4×D59—48no—
292C4×D59—84no—
293C4×D59—84no—
294Dic118—22no—
295Dic118—22no—
296Dic118—41no—
297Dic118—41no—
298C59⋊C8—22no—
299C59⋊C8—22no—
300C59⋊C8—41no—
301C59⋊C8—41no—
302#22582—591nomaximal, Sylow
303C22×C59—22no—
304C22×C59—22no—
305C22×C59—22no—
306C22×C59—41no—
307C22×C59—41no—
308C22×C59—41no—
309C22×C59—41no—
310C22×C59C2×C4×D411yescharacteristic
311C22×C59#54611yescharacteristic
312C22×C59#54611yescharacteristic
313C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C59#57511yescharacteristic
315C22×C59#57711yescharacteristic
316C22×C59#57811yescharacteristic
317C2×D59—24no—
318C2×D59—42no—
319C2×D59—42no—
320C2×D59—42no—
321C2×D59—42no—
322C2×D59—42no—
323C2×D59—42no—
324C4×C59—22no—
325C4×C59—22no—
326C4×C59—41no—
327C4×C59—42no—
328C4×C59—42no—
329C4×C59—41no—
330C4×C59—41no—
331C4×C59—81no—
332C4×C59—81no—
333C4×C59C2×#11711yescharacteristic
334C4×C59#51811yescharacteristic
335C4×C59#55111yescharacteristic
336C4×C59#55111yescharacteristic
337Dic59—42no—
338Dic59—81no—
339Dic59—81no—
340C2×#417—591no—
341#2344D5911yescharacteristic, complemented
342#2339—591no—
343#1935—591no—
344#1933—591no—
345#1928—591no—
346#1927—591no—
347#1864—591no—
348#1862—591no—
349#1824—591no—
350#1809—591no—
351#1788—591no—
352#1762—591no—
353C4×#102—591no—
354#1753—591no—
355C2×C59—42no—
356C2×C59#234211yescharacteristic
357C2×C59C4×AGL(1,ℤ/8)11yescharacteristic
358C2×C59#294711yescharacteristic
359C2×C59#330611yescharacteristic
360C2×C59#331511yescharacteristic
361C2×C59#332311yescharacteristic
362C2×C59#333011yescharacteristic
363D59—44no—
364C22×#41—591no—
365C22×M16—591no—
366C2×C4×D4—591no—
367C2×C4×D4—591no—
368C2×#117—21no—
369C22×C4⋊C4C2×D5911yescharacteristic
370C2×#107—591no—
371C2×#106—591no—
372#417—598no—
373C2×#103—591no—
374C2×#103—591no—
375C2×#103—591no—
376C2×#103—591no—
377C2×#102—591no—
378C2×#102—591no—
379C2×#102—591no—
380C2×#102—591no—
381C2×C22⋊C8—591no—
382C2×#97—591no—
383C2×C4×C8—591no—
384#391—591no—
385#391—591no—
386#389C2×D5911yescharacteristic
387#389C2×D5911yescharacteristic
388#387—21no—
389#387—21no—
390#386—1181no—
391#386—1181no—
392#381—21no—
393#381—1181no—
394#380—591no—
395#380C2×D5911yescharacteristic
396C4×C4⋊C4C2×D5911yescharacteristic
397C4×C4⋊C4C2×D5911yescharacteristic
398C4×C22⋊C4C2×D5911yescharacteristic
399C2×#95—1181no—
400#340—591no—
401#340—591no—
402#340—591no—
403#340—591no—
404#340—591no—
405#340—591no—
406#336—591no—
407#336—591no—
408C59#2258211yescharacteristic, complemented, Sylow
409C2×#41—594no—
410C2×#41—1182no—
411C2×#41—1182no—
412C2×#41—1182no—
413C2×#41—2361no—
414C2×#41—2361no—
415C22×Q8—591no—
416C22×D4—591no—
417C22×D4—1181no—
418C23×C4—21no—
419C23×C4—1181no—
420C23×C4—1181no—
421C23×C4—1181no—
422C23×C4C22×D5911yescharacteristic
423C2×M16—594no—
424C2×M16—2361no—
425C2×M16—2361no—
426C22×C8—591no—
427C22×C8—591no—
428C22×C8—591no—
429C22×C8—591no—
430C4×D4—1182no—
431C4×D4—1182no—
432C4×D4—2361no—
433C4×D4—2361no—
434#117—44no—
435C2×C4⋊C4—22no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—591no—
440C2×C4⋊C4—591no—
441C2×C4⋊C4C4×D5914yescomplemented
442C2×C4⋊C4C22×D5911yescharacteristic
443C2×C4⋊C4C22×D5911yescharacteristic
444C2×C4⋊C4C22×D5911yescharacteristic
445C2×C4⋊C4C22×D5911yescharacteristic
446C2×C22⋊C4—21no—
447C2×C22⋊C4—1181no—
448C2×C22⋊C4—1181no—
449C2×C22⋊C4—1181no—
450C2×C22⋊C4C22⋊D5911yescharacteristic
451C2×C22⋊C4C22⋊D5911yescharacteristic
452C2×C42—21no—
453C2×C42—21no—
454C2×C42C22×D5911yescharacteristic
455C2×C42C22×D5911yescharacteristic
456#107—2361no—
457#106—2361no—
458#103—594no—
459#103—594no—
460#103—2361no—
461#103—2361no—
462#102—594no—
463#102—594no—
464#102—1182no—
465#102—1182no—
466C22⋊C8—1182no—
467#97—2361no—
468C4×C8—2361no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—1181no—
475#95—1181no—
476#95—1181no—
477#95—1181no—
478#95—1181no—
479#95C22⋊D5911yescharacteristic
480#95C22⋊D5911yescharacteristic
481C24—1181no—
482C24C2×C22⋊D5911yescharacteristic
483#41—1188no—
484#41—2364no—
485#41—2364no—
486#41—2364no—
487C2×Q8—592no—
488C2×Q8—1181no—
489C2×Q8—1181no—
490C2×Q8—1181no—
491C2×Q8—1181no—
492C2×Q8—1181no—
493C2×D4—592no—
494C2×D4—592no—
495C2×D4—592no—
496C2×D4—1184no—
497C2×D4—1181no—
498C2×D4—1181no—
499C2×D4—1181no—
500C2×D4—2362no—
501C2×D4—2362no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—24no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—1181no—
514C22×C4—1184no—
515C22×C4—1181no—
516C22×C4—1181no—
517C22×C4—4721no—
518C22×C4—4721no—
519C22×C4—2362no—
520C22×C4—2362no—
521C22×C4—2362no—
522C22×C4—2362no—
523C22×C4—2362no—
524C22×C4—2362no—
525C22×C4C2×C4×D5912yes—
526C22×C4#1174568512yes—
527C22×C4C2×C22⋊D5911yescharacteristic
528C22×C4C2×C22⋊D5911yescharacteristic
529C22×C4C2×C22⋊D5911yescharacteristic
530C22×C4C2×C22⋊D5911yescharacteristic
531C22×C4C2×C22⋊D5911yescharacteristic
532C22×C4C23×D5911yescharacteristic
533M16—2364no—
534C2×C8—592no—
535C2×C8—592no—
536C2×C8—1181no—
537C2×C8—1181no—
538C2×C8—1181no—
539C2×C8—1181no—
540C2×C8—1181no—
541C2×C8—1181no—
542C2×C8—1181no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8—1181no—
546C4⋊C4—24no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—1181no—
556C4⋊C4—1181no—
557C4⋊C4—1181no—
558C4⋊C4—1181no—
559C4⋊C4C2×C4×D5912yes—
560C4⋊C4C2×C4×D5912yes—
561C22⋊C4—22no—
562C22⋊C4—41no—
563C22⋊C4—42no—
564C22⋊C4—4721no—
565C22⋊C4—2362no—
566C22⋊C4—2362no—
567C42—21no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—42no—
572C42—42no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—1182no—
580C23—1182no—
581C23—1182no—
582C23—2361no—
583C23—2361no—
584C23—2361no—
585C23—2361no—
586C23C4×C22⋊D5912yes—
587C23C22×C22⋊D5911yescharacteristic
588Q8—1182no—
589Q8—1182no—
590Q8—2361no—
591Q8—2361no—
592D4—594no—
593D4—1182no—
594D4—1182no—
595D4—1182no—
596D4—2368no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—48no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—1182no—
628C2×C4—4724no—
629C2×C4—4724no—
630C2×C4—2368no—
631C2×C4—2361no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4—2361no—
635C2×C4—2361no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4C4×C22⋊D5912yes—
640C2×C4#1427375312yes—
641C2×C4C22×C4×D5911yescharacteristic
642C2×C4#41×D5911yescharacteristic
643C2×C4#41×D5911yescharacteristic
644C2×C4C2×#1174568511yescharacteristic
645C2×C4#1427377311yescharacteristic
646C2×C4#1427377311yescharacteristic
647C8—1182no—
648C8—1182no—
649C8—2361no—
650C8—2361no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—41no—
655C22—41no—
656C22—41no—
657C22—41no—
658C22—1184no—
659C22—2362no—
660C22—2362no—
661C22—2362no—
662C22—2362no—
663C22—2362no—
664C22—2362no—
665C22C2×C4×C22⋊D5911yescharacteristic
666C22#1683804011yescharacteristic
667C22#1683804011yescharacteristic
668C22C2×#1427375311yescharacteristic
669C22#1683820011yescharacteristic
670C22#1683821011yescharacteristic
671C22#1683821711yescharacteristic
672C4—22no—
673C4—22no—
674C4—41no—
675C4—42no—
676C4—42no—
677C4—41no—
678C4—41no—
679C4—81no—
680C4—81no—
681C4—4721no—
682C4—4721no—
683C4—2362no—
684C4#117×D5911yescharacteristic
685C4#1683787611yescharacteristic
686C4#1683807611yescharacteristic
687C4#1683807611yescharacteristic
688C2—42no—
689C2—2364no—
690C2#2142694611yescharacteristic
691C2C4×#1427375311yescharacteristic
692C2#2143293911yescharacteristic
693C2#2143605111yescharacteristic
694C2#2143618611yescharacteristic
695C2#2143630611yescharacteristic
696C2#2143639511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2344C2
socleC23×C59C22×D4
prime radicalC22×#11745685C22
cosocleC22×C4×C59C24
hypercenter#2344D59
hypocenterC59#22582
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2344

Complements

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

NH ≅ G/Ntype
3. #21424785C2semidirect
4. #21424771C2semidirect
5. #21424737C2semidirect
6. #21424730C2semidirect
7. #21424356C2semidirect
8. #21424342C2semidirect
9. #21424186C2semidirect
10. #21424127C2semidirect
12. #21423924C2semidirect
13. C4×#14273647C2semidirect
14. #21423880C2semidirect
15. C59×#2344C2semidirect
22. #16837401C4semidirect
74. C2×#11745664C2×C4semidirect
92. #14273650C2×C4semidirect
93. #14273650C2×C4semidirect
113. C2×C4⋊C4×C59C2×C4semidirect
290. D236#117semidirect
341. #2344D59semidirect
408. C59#22582semidirect
441. C2×C4⋊C4C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168374012
#214269272
#214247852
#214247712
#214247372
#214247302
#214243562
#214243422
#214241862
#214241272
#214240342
#214239242
C4×#142736472
#214238802
C59×#23442
#2258259