Finite Group Databasebeta

← D59×#1736 #28586090

Subgroups — D59×#1736 #28586090

Order 15104.

2574 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D59C211yesmaximal, characteristic
2C2×#117×D59C211yesmaximal, characteristic
3C22×C4⋊C4×D59C211yesmaximal, characteristic
4#21423817C211yesmaximal, characteristic, complemented
5#21423816C211yesmaximal, characteristic, complemented
6#21423815C211yesmaximal, characteristic, complemented
7#21423814C214yesmaximal, complemented
8#340×D59C214yesmaximal, complemented
9C59×#1736C211yesmaximal, characteristic, complemented
10C23×C4×D59—21no—
11C23×C4×D59C2211yescharacteristic
12C22×#11745664C2211yescharacteristic
13C22×#11745659C2212yes—
14C2×M16×D59—24no—
15C2×M16×D59—24no—
16C2×M16×D59C418yescomplemented
17C22×C8×D59C2212yes—
18C2×#14273686C2211yescharacteristic
19C2×#14273685C2212yes—
20C2×#14273684—21no—
21C2×#14273683—21no—
22#117×D59—24no—
23#117×D59C418yescomplemented
24C22×C4⋊Dic59C2211yescharacteristic
25C22×Dic59⋊C4—21no—
26C2×C4⋊C4×D59—21no—
27C2×C4⋊C4×D59—21no—
28C2×C4⋊C4×D59—24no—
29C2×C4⋊C4×D59C418yescomplemented
30C2×C4⋊C4×D59C2212yes—
31C2×C4⋊C4×D59C2212yes—
32C2×C4⋊C4×D59C2212yes—
33C2×C22⋊C4×D59—21no—
34C2×C42×D59—21no—
35#16837165C2214yescomplemented
36#16837164C2214yescomplemented
37#16837164C2214yescomplemented
38C22×M16×C59C2211yescharacteristic
39C2×#117×C59C2211yescharacteristic
40C22×C4⋊C4×C59C2211yescharacteristic
41C59×#340C2214yescomplemented
42C24×D59D411yescharacteristic
43C23×Dic59—21no—
44C23×Dic59D411yescharacteristic
45C22×C4×D59—28no—
46C22×C4×D59—22no—
47C22×C4×D59—22no—
48C22×C4×D59—22no—
49C22×C4×D59—48no—
50C22×C4×D59C2×C414yes—
51C22×C4×D59C2×C414yes—
52C22×C4×D59C2×C414yes—
53C22×C4×D59D411yescharacteristic
54C22×C4×D59D411yescharacteristic
55C22×C4×D59D414yes—
56C22×C4×D59D414yes—
57C22×C4×D59Q814yes—
58C22×C4×D59C2311yescharacteristic
59C22×C4×D59C2311yescharacteristic
60C2×#11745664—22no—
61C2×#11745664—22no—
62C2×#11745664C2×C414yescomplemented
63C2×#11745659—24no—
64C2×#11745659—24no—
65C2×#11745659C2×C418yescomplemented
66M16×D59—232no—
67C22×C59⋊C8C2312yes—
68C2×C8×D59—24no—
69C2×C8×D59—24no—
70C2×C8×D59C2×C418yescomplemented
71#14273686—22no—
72#14273686C2×C414yescomplemented
73#14273685—24no—
74#14273685C2×C418yescomplemented
75#14273684—28no—
76#14273683—28no—
77C2×C4⋊Dic59—21no—
78C2×C4⋊Dic59—22no—
79C2×C4⋊Dic59C2×C414yescomplemented
80C2×C4⋊Dic59C2312yes—
81C2×C4⋊Dic59C2312yes—
82C2×Dic59⋊C4—28no—
83C2×Dic59⋊C4—22no—
84C2×Dic59⋊C4—22no—
85C2×Dic59⋊C4—22no—
86C4⋊C4×D59—28no—
87C4⋊C4×D59—28no—
88C4⋊C4×D59—24no—
89C4⋊C4×D59—24no—
90C4⋊C4×D59—24no—
91C4⋊C4×D59C2×C418yes—
92C4⋊C4×D59C2×C418yescomplemented
93C4⋊C4×D59C2×C418yescomplemented
94C2×C22⋊Dic59—21no—
95C2×(C2×D59)⋊C4—22no—
96C22⋊C4×D59—28no—
97C2×C4×Dic59—21no—
98C2×C4×Dic59—22no—
99C42×D59—28no—
100C23×C4×C59—21no—
101C23×C4×C59C2311yescharacteristic
102C2×M16×C59—22no—
103C2×M16×C59—22no—
104C2×M16×C59C2×C414yescomplemented
105C22×C8×C59C2312yes—
106#117×C59—22no—
107#117×C59C2×C414yescomplemented
108C2×C4⋊C4×C59—21no—
109C2×C4⋊C4×C59—22no—
110C2×C4⋊C4×C59C2×C414yescomplemented
111C2×C4⋊C4×C59C2312yes—
112C2×C4⋊C4×C59C2312yes—
113C2×C22⋊C4×C59—21no—
114C2×C42×C59—21no—
115C24×C59C2×D411yescharacteristic
116C23×D59—24no—
117C23×D59—24no—
118C23×D59C22⋊C414yes—
119C23×D59C22⋊C414yes—
120C23×D59C4⋊C414yes—
121C23×D59C2×D411yescharacteristic
122C23×D59C2×D411yescharacteristic
123C22×C4×C59—24no—
124C22×C4×C59—22no—
125C22×C4×C59—22no—
126C22×C4×C59—44no—
127C22×C4×C59C22×C412yes—
128C22×C4×C59C22×C412yes—
129C22×C4×C59C22×C412yes—
130C22×C4×C59C2×D411yescharacteristic
131C22×C4×C59C2×D412yes—
132C22×C4×C59C2×D412yes—
133C22×C4×C59C2×Q812yes—
134C22×C4×C59C2411yescharacteristic
135C22×Dic59—24no—
136C22×Dic59—22no—
137C22×Dic59—22no—
138C22×Dic59—44no—
139C22×Dic59C22⋊C414yes—
140C22×Dic59C22⋊C414yes—
141C22×Dic59C4⋊C414yes—
142C22×Dic59C2×D411yescharacteristic
143C22×Dic59C2×D411yescharacteristic
144C2×C4×D59—28no—
145C2×C4×D59—28no—
146C2×C4×D59—28no—
147C2×C4×D59—48no—
148C2×C4×D59—432no—
149C2×C4×D59—44no—
150C2×C4×D59—48no—
151C2×C4×D59—44no—
152C2×C4×D59C42116yes—
153C2×C4×D59C22⋊C414yes—
154C2×C4×D59C22⋊C414yes—
155C2×C4×D59C22⋊C414yes—
156C2×C4×D59C22⋊C414yes—
157C2×C4×D59C22⋊C4116yes—
158C2×C4×D59C4⋊C414yes—
159C2×C4×D59C4⋊C414yes—
160C2×C4×D59C4⋊C4116yes—
161C2×C4×D59C4⋊C4116yes—
162C2×C4×D59C22×C412yes—
163C2×C4×D59C22×C412yes—
164C2×C4×D59C22×C412yes—
165C2×C4×D59C22×C412yes—
166C2×C4×D59C22×C412yes—
167C2×C4×D59C22×C412yes—
168C2×C4×D59C2×D412yes—
169C2×C4×D59C2×D412yes—
170C2×C4×D59C2×D412yes—
171C2×C4×D59C2×D412yes—
172C2×C4×D59C2×Q812yes—
173C2×C4×D59C2×Q812yes—
174M16×C59—28no—
175C2×C8×C59—22no—
176C2×C8×C59—22no—
177C2×C8×C59C22×C414yescomplemented
178C4⋊C4×C59—24no—
179C4⋊C4×C59—22no—
180C4⋊C4×C59—22no—
181C4⋊C4×C59C22×C414yes—
182C4⋊C4×C59C22×C414yescomplemented
183C22⋊C4×C59—24no—
184C42×C59—24no—
185C22⋊Dic59—24no—
186(C2×D59)⋊C4—28no—
187C4⋊Dic59—24no—
188C4⋊Dic59—22no—
189C4⋊Dic59—22no—
190C4⋊Dic59C22×C414yes—
191C4⋊Dic59C22×C414yescomplemented
192Dic59⋊C4—28no—
193Dic59⋊C4—28no—
194Dic59⋊C4—28no—
195C4×Dic59—24no—
196C4×Dic59—28no—
197#11745664—28no—
198C2×C59⋊C8—22no—
199C2×C59⋊C8—22no—
200C2×C59⋊C8C22×C414yescomplemented
201#11745659—216no—
202C8×D59—216no—
203C23×C59—22no—
204C23×C59—22no—
205C23×C59C2×C22⋊C412yes—
206C23×C59C2×C22⋊C412yes—
207C23×C59C2×C4⋊C412yes—
208C23×C59C22×D411yescharacteristic
209C22×D59—22no—
210C22×D59—22no—
211C22×D59—216no—
212C22×D59—28no—
213C22×D59—28no—
214C22×D59—216no—
215C22×D59#95116yes—
216C22×D59C2×C22⋊C412yes—
217C22×D59C2×C22⋊C412yes—
218C22×D59C2×C22⋊C412yes—
219C22×D59C2×C22⋊C412yes—
220C22×D59C2×C4⋊C412yes—
221C22×D59C2×C4⋊C412yes—
222C22×D59AGL(1,ℤ/8)14yes—
223C22×D59#13714yes—
224C2×C4×C59—24no—
225C2×C4×C59—24no—
226C2×C4×C59—48no—
227C2×C4×C59—44no—
228C2×C4×C59—42no—
229C2×C4×C59—42no—
230C2×C4×C59C2×C4214yes—
231C2×C4×C59C2×C22⋊C414yes—
232C2×C4×C59C2×C22⋊C412yes—
233C2×C4×C59C2×C22⋊C412yes—
234C2×C4×C59C2×C4⋊C414yes—
235C2×C4×C59C2×C4⋊C414yes—
236C2×C4×C59C2×C4⋊C412yes—
237C2×C4×C59C23×C411yescharacteristic
238C2×C4×C59C23×C411yescharacteristic
239C2×C4×C59C23×C411yescharacteristic
240C2×C4×C59C22×D411yescharacteristic
241C2×C4×C59C22×D411yescharacteristic
242C2×C4×C59C22×Q811yescharacteristic
243C2×Dic59—24no—
244C2×Dic59—24no—
245C2×Dic59—48no—
246C2×Dic59—44no—
247C2×Dic59—42no—
248C2×Dic59—42no—
249C2×Dic59#95116yes—
250C2×Dic59C2×C22⋊C412yes—
251C2×Dic59C2×C22⋊C412yes—
252C2×Dic59C2×C22⋊C412yes—
253C2×Dic59C2×C22⋊C412yes—
254C2×Dic59C2×C4⋊C412yes—
255C2×Dic59C2×C4⋊C412yes—
256C4×D59—416no—
257C4×D59—416no—
258C4×D59—416no—
259C4×D59#95116yes—
260C4×D59#95116yes—
261C4×D59C2×C4214yes—
262C4×D59C2×C4214yes—
263C4×D59C2×C22⋊C414yes—
264C4×D59C2×C22⋊C414yes—
265C4×D59C2×C4⋊C414yes—
266C4×D59C2×C4⋊C414yes—
267C4×D59C2×C4⋊C414yes—
268C4×D59C2×C4⋊C414yes—
269C8×C59—24no—
270C59⋊C8—24no—
271C2×#1736—591nomaximal, Sylow
272C22×C59—22no—
273C22×C59—22no—
274C22×C59—24no—
275C22×C59—24no—
276C22×C59C2×#9514yes—
277C22×C59C22×C22⋊C411yescharacteristic
278C22×C59C22×C22⋊C411yescharacteristic
279C22×C59C22×C4⋊C411yescharacteristic
280C22×C59C2×AGL(1,ℤ/8)12yes—
281C22×C59C2×#13712yes—
282C2×D59—22no—
283C2×D59—22no—
284C2×D59—24no—
285C2×D59—24no—
286C2×D59—232no—
287C2×D59C2×#9514yes—
288C2×D59C2×#9514yes—
289C2×D59#41718yes—
290C2×D59#41814yes—
291C2×D59#41914yes—
292C2×D59#42818yes—
293C4×C59—44no—
294C4×C59—44no—
295C4×C59C2×#9514yes—
296C4×C59C22×C4211yescharacteristic
297C4×C59C22×C22⋊C411yescharacteristic
298C4×C59C22×C4⋊C411yescharacteristic
299C4×C59C22×C4⋊C411yescharacteristic
300Dic59—44no—
301Dic59—44no—
302Dic59C2×#9514yes—
303Dic59C2×#9514yes—
304C23×M16—591no—
305C22×#117—591no—
306C23×C4⋊C4—591no—
307#1736—594no—
308#1736—591no—
309#1736—591no—
310#1736—591no—
311#1736D5911yescharacteristic, direct product factor
312C2×#340—594no—
313C2×C59—24no—
314C2×C59C22×#9511yescharacteristic
315C2×C59C2×#41811yescharacteristic
316C2×C59C2×#41911yescharacteristic
317C2×C59C2×#41712yes—
318C2×C59C2×#42812yes—
319D59—24no—
320D59#173618yesdirect product factor
321C24×C4—591no—
322C24×C4—1181no—
323C22×M16—591no—
324C22×M16—598no—
325C22×M16—592no—
326C22×M16—1184no—
327C22×M16—1184no—
328C22×M16C2×D5911yescharacteristic
329C23×C8—592no—
330C2×#117—591no—
331C2×#117—598no—
332C2×#117—592no—
333C2×#117—1181no—
334C2×#117—1181no—
335C2×#117—1184no—
336C2×#117C2×D5911yescharacteristic
337C22×C4⋊C4—591no—
338C22×C4⋊C4—598no—
339C22×C4⋊C4—592no—
340C22×C4⋊C4—592no—
341C22×C4⋊C4—592no—
342C22×C4⋊C4—1181no—
343C22×C4⋊C4—1184no—
344C22×C4⋊C4—1181no—
345C22×C4⋊C4—1181no—
346C22×C4⋊C4C2×D5911yescharacteristic
347C22×C22⋊C4—1181no—
348C22×C42—1181no—
349#340—594no—
350#340—594no—
351#340—594no—
352#340C2×D5914yescomplemented
353C59C2×#173611yescharacteristic, complemented, Sylow
354C25—591no—
355C23×C4—21no—
356C23×C4—591no—
357C23×C4—594no—
358C23×C4—594no—
359C23×C4—594no—
360C23×C4—591no—
361C23×C4—594no—
362C23×C4—591no—
363C23×C4—594no—
364C23×C4—594no—
365C23×C4—591no—
366C23×C4—591no—
367C23×C4—1182no—
368C23×C4—1188no—
369C23×C4—1182no—
370C23×C4—1182no—
371C23×C4—1181no—
372C23×C4—2368no—
373C23×C4C22×D5911yescharacteristic
374C2×M16—22no—
375C2×M16—22no—
376C2×M16—594no—
377C2×M16—598no—
378C2×M16—1184no—
379C2×M16—1184no—
380C2×M16—11832no—
381C2×M16—1182no—
382C2×M16—1182no—
383C2×M16C4×D5914yescomplemented
384C22×C8—592no—
385C22×C8—598no—
386C22×C8—1184no—
387C22×C8—1184no—
388C22×C8C22×D5912yes—
389#117—22no—
390#117—594no—
391#117—598no—
392#117—1188no—
393#117—1188no—
394#117—1184no—
395#117—1182no—
396#117C4×D5914yescomplemented
397C2×C4⋊C4—21no—
398C2×C4⋊C4—22no—
399C2×C4⋊C4—594no—
400C2×C4⋊C4—592no—
401C2×C4⋊C4—592no—
402C2×C4⋊C4—598no—
403C2×C4⋊C4—598no—
404C2×C4⋊C4—598no—
405C2×C4⋊C4—1188no—
406C2×C4⋊C4—1188no—
407C2×C4⋊C4—1184no—
408C2×C4⋊C4—1184no—
409C2×C4⋊C4—1184no—
410C2×C4⋊C4—1188no—
411C2×C4⋊C4—1182no—
412C2×C4⋊C4—1182no—
413C2×C4⋊C4—1182no—
414C2×C4⋊C4—1181no—
415C2×C4⋊C4—1182no—
416C2×C4⋊C4C4×D5914yescomplemented
417C2×C4⋊C4C22×D5912yes—
418C2×C4⋊C4C22×D5912yes—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—1188no—
421C2×C22⋊C4—1182no—
422C2×C22⋊C4—1181no—
423C2×C42—21no—
424C2×C42—1188no—
425C2×C42—1182no—
426C2×C42—1181no—
427C24—591no—
428C24—594no—
429C24—594no—
430C24—594no—
431C24—591no—
432C24—1184no—
433C24—1184no—
434C24D4×D5911yescharacteristic
435C22×C4—24no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—44no—
439C22×C4—594no—
440C22×C4—594no—
441C22×C4—594no—
442C22×C4—591no—
443C22×C4—591no—
444C22×C4—5916no—
445C22×C4—594no—
446C22×C4—594no—
447C22×C4—594no—
448C22×C4—594no—
449C22×C4—5916no—
450C22×C4—5916no—
451C22×C4—5916no—
452C22×C4—594no—
453C22×C4—594no—
454C22×C4—592no—
455C22×C4—592no—
456C22×C4—592no—
457C22×C4—592no—
458C22×C4—592no—
459C22×C4—592no—
460C22×C4—592no—
461C22×C4—592no—
462C22×C4—592no—
463C22×C4—592no—
464C22×C4—592no—
465C22×C4—592no—
466C22×C4—1188no—
467C22×C4—1188no—
468C22×C4—1188no—
469C22×C4—1184no—
470C22×C4—1182no—
471C22×C4—1182no—
472C22×C4—2368no—
473C22×C4—2364no—
474C22×C4—2364no—
475C22×C4—23632no—
476C22×C4—2368no—
477C22×C4—2364no—
478C22×C4C2×C4×D5912yes—
479C22×C4C2×C4×D5912yes—
480C22×C4C2×C4×D5912yes—
481C22×C4D4×D5911yescharacteristic
482C22×C4D4×D5912yes—
483C22×C4D4×D5912yes—
484C22×C4Q8×D5912yes—
485C22×C4C23×D5911yescharacteristic
486M16—28no—
487M16—11816no—
488M16—1188no—
489C2×C8—22no—
490C2×C8—22no—
491C2×C8—594no—
492C2×C8—11816no—
493C2×C8—1182no—
494C2×C8—1182no—
495C2×C8C2×C4×D5914yescomplemented
496C4⋊C4—24no—
497C4⋊C4—22no—
498C4⋊C4—22no—
499C4⋊C4—594no—
500C4⋊C4—594no—
501C4⋊C4—1188no—
502C4⋊C4—1188no—
503C4⋊C4—1188no—
504C4⋊C4—1184no—
505C4⋊C4—1182no—
506C4⋊C4—1182no—
507C4⋊C4C2×C4×D5914yes—
508C4⋊C4C2×C4×D5914yescomplemented
509C22⋊C4—24no—
510C22⋊C4—1188no—
511C22⋊C4—1184no—
512C42—24no—
513C42—1188no—
514C42—1184no—
515C23—22no—
516C23—22no—
517C23—594no—
518C23—594no—
519C23—592no—
520C23—592no—
521C23—592no—
522C23—5916no—
523C23—592no—
524C23—592no—
525C23—592no—
526C23—1188no—
527C23—1188no—
528C23—11816no—
529C23—11816no—
530C23—1182no—
531C23—1182no—
532C23C22⋊C4×D5912yes—
533C23C22⋊C4×D5912yes—
534C23C4⋊C4×D5912yes—
535C23C2×D4×D5911yescharacteristic
536C2×C4—24no—
537C2×C4—24no—
538C2×C4—48no—
539C2×C4—44no—
540C2×C4—42no—
541C2×C4—42no—
542C2×C4—5916no—
543C2×C4—592no—
544C2×C4—592no—
545C2×C4—592no—
546C2×C4—592no—
547C2×C4—592no—
548C2×C4—592no—
549C2×C4—5916no—
550C2×C4—5916no—
551C2×C4—594no—
552C2×C4—594no—
553C2×C4—594no—
554C2×C4—594no—
555C2×C4—594no—
556C2×C4—594no—
557C2×C4—594no—
558C2×C4—594no—
559C2×C4—1184no—
560C2×C4—1184no—
561C2×C4—23616no—
562C2×C4—23616no—
563C2×C4—23616no—
564C2×C4—2368no—
565C2×C4—2362no—
566C2×C4—2364no—
567C2×C4—2362no—
568C2×C4C42×D5914yes—
569C2×C4C22⋊C4×D5912yes—
570C2×C4C22⋊C4×D5912yes—
571C2×C4C22⋊C4×D5914yes—
572C2×C4C4⋊C4×D5912yes—
573C2×C4C4⋊C4×D5914yes—
574C2×C4C4⋊C4×D5914yes—
575C2×C4C22×C4×D5911yescharacteristic
576C2×C4C22×C4×D5911yescharacteristic
577C2×C4C22×C4×D5911yescharacteristic
578C2×C4C2×D4×D5911yescharacteristic
579C2×C4C2×D4×D5911yescharacteristic
580C2×C4C2×Q8×D5911yescharacteristic
581C8—24no—
582C8—1184no—
583C22—22no—
584C22—22no—
585C22—24no—
586C22—24no—
587C22—594no—
588C22—594no—
589C22—598no—
590C22—598no—
591C22—594no—
592C22—594no—
593C22—11832no—
594C22—1182no—
595C22—1182no—
596C22—1184no—
597C22—1184no—
598C22#95×D5914yes—
599C22C2×C22⋊C4×D5911yescharacteristic
600C22C2×C22⋊C4×D5911yescharacteristic
601C22C2×C4⋊C4×D5911yescharacteristic
602C22AGL(1,ℤ/8)×D5912yes—
603C22#137×D5912yes—
604C4—44no—
605C4—44no—
606C4—594no—
607C4—594no—
608C4—2364no—
609C4—2364no—
610C4#95×D5914yes—
611C4C2×C42×D5911yescharacteristic
612C4C2×C22⋊C4×D5911yescharacteristic
613C4C2×C4⋊C4×D5911yescharacteristic
614C4C2×C4⋊C4×D5911yescharacteristic
615C2—24no—
616C2—598no—
617C2—1184no—
618C2C2×#95×D5911yescharacteristic
619C2#418×D5911yescharacteristic
620C2#419×D5911yescharacteristic
621C2#417×D5912yes—
622C2#428×D5912yes—
subgroupG/H
centerC23C2×D4×D59
commutatorC4×C59C22×C42
FrattiniC22×C4C23×D59
FittingC59×#1736C2
socleC23×C59C22×D4
prime radicalC24×D59D4
cosocleC22×C4×C59C24
hypercenter#1736D59
hypocenterC59C2×#1736
LCSG ▷ C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1736

Complements

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

NH ≅ G/Ntype
4. #21423817C2semidirect
5. #21423816C2semidirect
6. #21423815C2semidirect
7. #21423814C2semidirect
8. #340×D59C2semidirect
9. C59×#1736C2semidirect
16. C2×M16×D59C4semidirect
23. #117×D59C4semidirect
29. C2×C4⋊C4×D59C4semidirect
35. #16837165C22semidirect
36. #16837164C22semidirect
37. #16837164C22semidirect
41. C59×#340C22semidirect
62. C2×#11745664C2×C4semidirect
65. C2×#11745659C2×C4semidirect
70. C2×C8×D59C2×C4semidirect
72. #14273686C2×C4semidirect
74. #14273685C2×C4semidirect
79. C2×C4⋊Dic59C2×C4semidirect
92. C4⋊C4×D59C2×C4semidirect
93. C4⋊C4×D59C2×C4semidirect
104. C2×M16×C59C2×C4semidirect
107. #117×C59C2×C4semidirect
110. C2×C4⋊C4×C59C2×C4semidirect
177. C2×C8×C59C22×C4semidirect
182. C4⋊C4×C59C22×C4semidirect
191. C4⋊Dic59C22×C4semidirect
200. C2×C59⋊C8C22×C4semidirect
311. #1736D59direct (N × H)
320. D59#1736direct (N × H)
352. #340C2×D59semidirect
353. C59C2×#1736semidirect
383. C2×M16C4×D59semidirect
396. #117C4×D59semidirect
416. C2×C4⋊C4C4×D59semidirect
495. C2×C8C2×C4×D59semidirect
508. C4⋊C4C2×C4×D59semidirect

Maximal subgroups

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

subgroupindex
C22×M16×D592
C2×#117×D592
C22×C4⋊C4×D592
#214238172
#214238162
#214238152
#214238142
#340×D592
C59×#17362
C2×#173659