Finite Group Databasebeta

← C4×#16837624 #28594924

Subgroups — C4×#16837624 #28594924

Order 15104.

1016 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837624C211yesmaximal, characteristic
2C2×C4×#11745672C211yesmaximal, characteristic, complemented
3C2×C4×#11745671C211yesmaximal, characteristic
4C4×#14273715C211yesmaximal, characteristic
5#21425028C211yesmaximal, characteristic
6#21424864C211yesmaximal, characteristic, complemented
7#21424730C211yesmaximal, characteristic, complemented
8#21424716C211yesmaximal, characteristic
9#21424451C211yesmaximal, characteristic
10#21424437C211yesmaximal, characteristic, complemented
11#21424111C211yesmaximal, characteristic, complemented
12C4×C4⋊(C59⋊C8)C211yesmaximal, characteristic, complemented
13C4×#14273650C211yesmaximal, characteristic, complemented
14C4×#14273647C211yesmaximal, characteristic
15C42×Q8×C59C211yesmaximal, characteristic, complemented
16C22×#11745672C2211yescharacteristic
17C22×#11745671C2211yescharacteristic
18C2×#14273715C2211yescharacteristic
19C2×C4×Dic118C2211yescharacteristic
20C2×C4×D236C2211yescharacteristic
21#16837624C418yesdirect product factor
22C4×#11745672—24no—
23C4×#11745671—24no—
24C2×#14273660C2211yescharacteristic
25C2×#14273658C2211yescharacteristic
26C2×C4⋊(C59⋊C8)C2211yescharacteristic
27C2×C4⋊(C59⋊C8)C2211yescharacteristic
28C2×#14273651C2211yescharacteristic
29C2×#14273651C2211yescharacteristic
30C2×#14273650C2211yescharacteristic
31C2×#14273650C2211yescharacteristic
32C2×#14273650C2211yescharacteristic
33C2×#14273647C2211yescharacteristic
34C2×#14273647C2211yescharacteristic
35C2×#14273647C2211yescharacteristic
36C2×C4×C59⋊C8C2211yescharacteristic
37C2×C4×C59⋊C8C2211yescharacteristic
38#16837308C2211yescharacteristic
39#16837304C2211yescharacteristic
40#16837293—21no—
41#16837293—21no—
42#16837268C2211yescharacteristic
43C4×(C2×D59)⋊C4—21no—
44C4×(C2×D59)⋊C4—21no—
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837157C2211yescharacteristic
50#16837157C2211yescharacteristic
51C2×C4×Q8×C59C2211yescharacteristic
52C2×C4×Q8×C59C2211yescharacteristic
53C2×C4×Q8×C59C2211yescharacteristic
54C4×C4⋊C4×C59—21no—
55C4×C4⋊C4×C59—21no—
56C4×C4⋊C4×C59—21no—
57C4×C4⋊C4×C59C2211yescharacteristic
58C4×C4⋊C4×C59C2211yescharacteristic
59C4×C4⋊C4×C59C2211yescharacteristic
60C43×C59—21no—
61C43×C59C2211yescharacteristic
62C22×Dic118C2311yescharacteristic
63C22×D236C2311yescharacteristic
64C22×C4×D59—21no—
65C2×#11745672—22no—
66C2×#11745672—22no—
67C2×#11745672C2×C414yescomplemented
68C2×#11745671—22no—
69C2×#11745671—22no—
70C2×#11745671C2×C414yes—
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C22×C59⋊C8C2311yescharacteristic
74C22×C59⋊C8C2311yescharacteristic
75#14273715—22no—
76#14273715C2×C414yes—
77C4×Dic118—22no—
78C4×Dic118—22no—
79C4×D236—22no—
80C4×D236—22no—
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×Dic59⋊C4—21no—
84C2×(C2×D59)⋊C4—21no—
85C2×(C2×D59)⋊C4—21no—
86C2×(C2×D59)⋊C4—21no—
87C2×(C2×D59)⋊C4—21no—
88C2×(C2×D59)⋊C4—21no—
89C2×C4×Dic59—21no—
90#14273660—22no—
91#14273658—22no—
92C4⋊(C59⋊C8)—22no—
93C4⋊(C59⋊C8)C2×C414yescomplemented
94#14273651—22no—
95#14273651—22no—
96#14273650—22no—
97#14273650—22no—
98#14273650C2×C414yescomplemented
99#14273647—22no—
100#14273647—22no—
101#14273647C2×C414yes—
102C4×C59⋊C8—22no—
103C4×C59⋊C8—22no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C22×Q8×C59C2311yescharacteristic
109C4×Q8×C59—22no—
110C4×Q8×C59—22no—
111C4×Q8×C59—22no—
112C4×Q8×C59—22no—
113C4×Q8×C59C2×C414yescomplemented
114C4×Q8×C59D414yes—
115C2×C4⋊C4×C59—21no—
116C2×C4⋊C4×C59—21no—
117C2×C4⋊C4×C59—21no—
118C2×C4⋊C4×C59C2311yescharacteristic
119C2×C4⋊C4×C59C2311yescharacteristic
120C2×C4⋊C4×C59C2311yescharacteristic
121C2×C42×C59—21no—
122C2×C42×C59—21no—
123C2×C42×C59—21no—
124C2×C42×C59—21no—
125C2×C42×C59—21no—
126C2×C42×C59—21no—
127C2×C42×C59D411yescharacteristic
128C2×C42×C59D411yescharacteristic
129C2×C42×C59D411yescharacteristic
130C2×C42×C59D411yescharacteristic
131C2×C42×C59C2311yescharacteristic
132C2×C42×C59C2311yescharacteristic
133C2×C42×C59C2311yescharacteristic
134#95×C59—21no—
135#95×C59—21no—
136#95×C59—21no—
137C23×D59—21no—
138C2×Q8×C59—21no—
139C2×Q8×C59—21no—
140C2×Q8×C59—21no—
141C2×Q8×C59C22×C412yes—
142C2×Q8×C59C2×D412yes—
143C2×Q8×C59#4112yes—
144C22×C4×C59—21no—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59C2×D411yescharacteristic
149C22×C4×C59C2×D411yescharacteristic
150C22×C4×C59C2×D411yescharacteristic
151C22×C4×C59C2×D411yescharacteristic
152C22×C4×C59C2×D411yescharacteristic
153C22×C4×C59C2×D411yescharacteristic
154C22×C4×C59C2411yescharacteristic
155C22×Dic59—21no—
156C22×Dic59—21no—
157C22×Dic59—21no—
158C2×D236—21no—
159C2×D236—21no—
160C2×D236—21no—
161C2×D236—21no—
162C2×D236—21no—
163C2×D236C22×C412yes—
164C2×C4×D59—42no—
165C2×C4×D59—42no—
166C2×C4×D59—42no—
167C2×Dic118—21no—
168C2×Dic118—21no—
169C2×Dic118—21no—
170C2×Dic118—21no—
171C2×Dic118—21no—
172C2×Dic118C22×C412yes—
173C4⋊C4×C59—24no—
174C4⋊C4×C59—24no—
175C4⋊C4×C59—24no—
176C4⋊C4×C59—21no—
177C4⋊C4×C59—21no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59C22×C412yes—
180C4⋊C4×C59C2×D412yes—
181C4⋊C4×C59#4112yes—
182C42×C59—24no—
183C42×C59—24no—
184C42×C59—24no—
185C42×C59—22no—
186C42×C59—22no—
187C42×C59—22no—
188C42×C59—21no—
189C42×C59—21no—
190C42×C59—41no—
191C42×C59—42no—
192C42×C59—42no—
193C42×C59—42no—
194C42×C59C22×C412yes—
195C42×C59C2×D412yes—
196C42×C59#4112yes—
197C42×C59#4112yes—
198#11745672—28no—
199#11745671—28no—
200(C2×D59)⋊C4—24no—
201(C2×D59)⋊C4—24no—
202(C2×D59)⋊C4—42no—
203(C2×D59)⋊C4—42no—
204(C2×D59)⋊C4—42no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59—21no—
209Dic59⋊C4—42no—
210C4×Dic59—42no—
211C2×C59⋊C8—21no—
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⋊C8C22×C412yes—
222C2×C59⋊C8C22×C412yes—
223C23×C59C22×D411yescharacteristic
224C22×D59—22no—
225C22×D59—41no—
226C22×D59—41no—
227C22×D59—41no—
228C22×D59—41no—
229C22×D59—41no—
230C22×D59—41no—
231Q8×C59—22no—
232Q8×C59—22no—
233Q8×C59—22no—
234Q8×C59C4×D414yes—
235C2×C4×C59—22no—
236C2×C4×C59—22no—
237C2×C4×C59—21no—
238C2×C4×C59—22no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—21no—
243C2×C4×C59—21no—
244C2×C4×C59—21no—
245C2×C4×C59—21no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—21no—
249C2×C4×C59—22no—
250C2×C4×C59—21no—
251C2×C4×C59—21no—
252C2×C4×C59—41no—
253C2×C4×C59—41no—
254C2×C4×C59—41no—
255C2×C4×C59—41no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59C4×D412yes—
259C2×C4×C59C4×D412yes—
260C2×C4×C59#12112yes—
261C2×C4×C59#12112yes—
262C2×C4×C59#13512yes—
263C2×C4×C59#13512yes—
264C2×C4×C59#13712yes—
265C2×C4×C59C23×C411yescharacteristic
266C2×C4×C59C22×D411yescharacteristic
267C2×C4×C59C2×#4111yescharacteristic
268C2×C4×C59C2×#4111yescharacteristic
269C2×C4×C59C2×#4111yescharacteristic
270C2×C4×C59C2×#4111yescharacteristic
271C2×Dic59—22no—
272C2×Dic59—41no—
273C2×Dic59—41no—
274C2×Dic59—41no—
275C2×Dic59—41no—
276C2×Dic59—41no—
277C2×Dic59—41no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280D236—22no—
281D236—22no—
282D236—41no—
283D236—41no—
284C4×D59—84no—
285Dic118—22no—
286Dic118—22no—
287Dic118—41no—
288Dic118—41no—
289C59⋊C8—22no—
290C59⋊C8—22no—
291C59⋊C8—41no—
292C59⋊C8—41no—
293C4×#464—591nomaximal, Sylow
294C22×C59C2×C4×D411yescharacteristic
295C22×C59C2×#12111yescharacteristic
296C22×C59#52511yescharacteristic
297C22×C59C2×#13511yescharacteristic
298C22×C59C2×#13511yescharacteristic
299C22×C59C2×#13711yescharacteristic
300C22×C59#57511yescharacteristic
301C2×D59—42no—
302C2×D59—42no—
303C2×D59—42no—
304C2×D59—81no—
305C2×D59—81no—
306C2×D59—81no—
307C2×D59—81no—
308C4×C59—22no—
309C4×C59—22no—
310C4×C59—22no—
311C4×C59—22no—
312C4×C59—24no—
313C4×C59—41no—
314C4×C59—42no—
315C4×C59—42no—
316C4×C59—42no—
317C4×C59#46414yescomplemented
318C4×C59C2×C4×D411yescharacteristic
319C4×C59C4×#4111yescharacteristic
320C4×C59#52911yescharacteristic
321C4×C59#53211yescharacteristic
322Dic59—42no—
323Dic59—81no—
324Dic59—81no—
325C2×#464—591no—
326C2×C4×Q16—591no—
327C2×C4×SD16—591no—
328C4×#124—591no—
329C42×Q8D5911yescharacteristic, complemented
330#1983—591no—
331#1949—591no—
332#1927—591no—
333#1925—591no—
334#1880—591no—
335#1878—591no—
336#1805—591no—
337C4×C4⋊C8—591no—
338C4×#103—591no—
339C4×#102—591no—
340C2×C59C4×#12111yescharacteristic
341C2×C59C4×#13511yescharacteristic
342C2×C59C4×#13711yescharacteristic
343C2×C59C2×#46411yescharacteristic
344C2×C59#303511yescharacteristic
345C2×C59#310211yescharacteristic
346C2×C59#310811yescharacteristic
347D59—82no—
348C22×Q16—591no—
349C22×SD16—591no—
350C2×#124—591no—
351C2×C4×Q8—591no—
352C2×C4×Q8C2×D5911yescharacteristic
353C2×C4×Q8C2×D5911yescharacteristic
354C2×C4×Q8C2×D5911yescharacteristic
355C2×C4×D4—591no—
356#464—598no—
357C4×Q16—1184no—
358C4×SD16—1184no—
359C2×#107—591no—
360C2×#106—591no—
361C2×C4⋊C8—591no—
362C2×C4⋊C8—591no—
363C2×#103—591no—
364C2×#103—591no—
365C2×#103—591no—
366C2×#103—591no—
367C2×#103—591no—
368C2×#102—591no—
369C2×#102—591no—
370C2×#102—591no—
371C2×C4×C8—591no—
372C2×C4×C8—591no—
373#391—591no—
374#390—591no—
375#388—1181no—
376#388—1181no—
377#382—591no—
378C4×C4⋊C4—21no—
379C4×C4⋊C4—21no—
380C4×C4⋊C4—21no—
381C4×C4⋊C4C2×D5911yescharacteristic
382C4×C4⋊C4C2×D5911yescharacteristic
383C4×C4⋊C4C2×D5911yescharacteristic
384C4×C22⋊C4—1181no—
385C4×C22⋊C4—1181no—
386C43—21no—
387C43C2×D5911yescharacteristic
388#340—591no—
389#340—591no—
390#340—591no—
391#340—591no—
392#336—591no—
393#336—591no—
394C59C4×#46411yescharacteristic, complemented, Sylow
395C22×Q8—591no—
396C22×Q8C22×D5911yescharacteristic
397C22×D4—591no—
398C23×C4—1181no—
399C2×Q16—594no—
400C2×Q16—1182no—
401C2×Q16—1182no—
402C2×SD16—594no—
403C2×SD16—1182no—
404C2×SD16—1182no—
405C22×C8—591no—
406C22×C8—591no—
407C22×C8—591no—
408C22×C8—591no—
409#124—594no—
410#124—1182no—
411C4×Q8—22no—
412C4×Q8—22no—
413C4×Q8—22no—
414C4×Q8—22no—
415C4×Q8—1182no—
416C4×Q8—1182no—
417C4×Q8C4×D5914yescomplemented
418C4×Q8D23614yes—
419C4×D4—1182no—
420C4×D4—1182no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—591no—
425C2×C4⋊C4—591no—
426C2×C4⋊C4—1181no—
427C2×C4⋊C4C22×D5911yescharacteristic
428C2×C4⋊C4C22×D5911yescharacteristic
429C2×C4⋊C4C22×D5911yescharacteristic
430C2×C22⋊C4—1181no—
431C2×C22⋊C4—1181no—
432C2×C22⋊C4—1181no—
433C2×C22⋊C4—1181no—
434C2×C22⋊C4—1181no—
435C2×C42—21no—
436C2×C42—21no—
437C2×C42—21no—
438C2×C42—21no—
439C2×C42—21no—
440C2×C42—21no—
441C2×C42—1181no—
442C2×C42C22⋊D5911yescharacteristic
443C2×C42C22⋊D5911yescharacteristic
444C2×C42C22⋊D5911yescharacteristic
445C2×C42C22⋊D5911yescharacteristic
446C2×C42C22×D5911yescharacteristic
447C2×C42C22×D5911yescharacteristic
448C2×C42C22×D5911yescharacteristic
449#107—1182no—
450#106—1182no—
451C4⋊C8—594no—
452C4⋊C8—1182no—
453#103—594no—
454#103—1182no—
455#103—1182no—
456#103—1182no—
457#103—1182no—
458#102—594no—
459#102—1182no—
460#102—1182no—
461C4×C8—1182no—
462C4×C8—1182no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—1181no—
467#95—1181no—
468#95—1181no—
469#95—1181no—
470C24—1181no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—592no—
475C2×Q8—1181no—
476C2×Q8—1181no—
477C2×Q8—1181no—
478C2×Q8—1181no—
479C2×Q8—1181no—
480C2×Q8C2×C4×D5912yes—
481C2×Q8C2×D23612yes—
482C2×Q8#1174568512yes—
483C2×D4—592no—
484C2×D4—1181no—
485C2×D4—1181no—
486C2×D4—1181no—
487C2×D4—1181no—
488C2×D4—1181no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—1181no—
494C22×C4—1181no—
495C22×C4—1181no—
496C22×C4—2362no—
497C22×C4—2362no—
498C22×C4—2362no—
499C22×C4C2×C22⋊D5911yescharacteristic
500C22×C4C2×C22⋊D5911yescharacteristic
501C22×C4C2×C22⋊D5911yescharacteristic
502C22×C4C2×C22⋊D5911yescharacteristic
503C22×C4C2×C22⋊D5911yescharacteristic
504C22×C4C2×C22⋊D5911yescharacteristic
505C22×C4C23×D5911yescharacteristic
506Q16—1188no—
507SD16—1188no—
508C2×C8—592no—
509C2×C8—592no—
510C2×C8—1181no—
511C2×C8—1181no—
512C2×C8—1181no—
513C2×C8—1181no—
514C2×C8—1181no—
515C2×C8—1181no—
516C2×C8—1181no—
517C2×C8—1181no—
518C2×C8—1181no—
519C2×C8—1181no—
520C4⋊C4—24no—
521C4⋊C4—24no—
522C4⋊C4—24no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—1181no—
527C4⋊C4—1181no—
528C4⋊C4—1181no—
529C4⋊C4—1181no—
530C4⋊C4—2362no—
531C4⋊C4C2×C4×D5912yes—
532C4⋊C4C2×D23612yes—
533C4⋊C4#1174568512yes—
534C22⋊C4—1184no—
535C22⋊C4—1184no—
536C22⋊C4—2362no—
537C22⋊C4—2362no—
538C22⋊C4—2362no—
539C42—24no—
540C42—24no—
541C42—24no—
542C42—22no—
543C42—22no—
544C42—22no—
545C42—21no—
546C42—21no—
547C42—41no—
548C42—42no—
549C42—42no—
550C42—42no—
551C42—2362no—
552C42C2×C4×D5912yes—
553C42C2×D23612yes—
554C42#1174568512yes—
555C42#1174568512yes—
556C23—1182no—
557C23—2361no—
558C23—2361no—
559C23—2361no—
560C23—2361no—
561C23—2361no—
562C23—2361no—
563C23C22×C22⋊D5911yescharacteristic
564Q8—22no—
565Q8—22no—
566Q8—22no—
567Q8—1182no—
568Q8—1182no—
569Q8—2361no—
570Q8—2361no—
571Q8C4×D23614yes—
572D4—1182no—
573D4—1182no—
574D4—2361no—
575D4—2361no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—22no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—1182no—
600C2×C4—4724no—
601C2×C4—2361no—
602C2×C4—2361no—
603C2×C4—2361no—
604C2×C4—2361no—
605C2×C4—2361no—
606C2×C4—2361no—
607C2×C4—2361no—
608C2×C4—2361no—
609C2×C4C4×C22⋊D5912yes—
610C2×C4C4×C22⋊D5912yes—
611C2×C4#1427370112yes—
612C2×C4#1427370112yes—
613C2×C4#1427374712yes—
614C2×C4#1427374712yes—
615C2×C4#1427375812yes—
616C2×C4C22×C4×D5911yescharacteristic
617C2×C4C22×D23611yescharacteristic
618C2×C4C2×#1174568511yescharacteristic
619C2×C4C2×#1174568511yescharacteristic
620C2×C4C2×#1174568511yescharacteristic
621C2×C4C2×#1174568511yescharacteristic
622C8—1182no—
623C8—1182no—
624C8—2361no—
625C8—2361no—
626C22—4721no—
627C22—4721no—
628C22—4721no—
629C22—4721no—
630C22—2362no—
631C22—2362no—
632C22—2362no—
633C22C2×C4×C22⋊D5911yescharacteristic
634C22C2×#1427370111yescharacteristic
635C22#1683791311yescharacteristic
636C22C2×#1427374711yescharacteristic
637C22C2×#1427374711yescharacteristic
638C22C2×#1427375811yescharacteristic
639C22#1683820011yescharacteristic
640C4—22no—
641C4—22no—
642C4—22no—
643C4—24no—
644C4—22no—
645C4—41no—
646C4—42no—
647C4—42no—
648C4—42no—
649C4—4721no—
650C4—4721no—
651C4—2362no—
652C4#1683762414yesdirect product factor
653C4C2×C4×D23611yescharacteristic
654C4C4×#1174568511yescharacteristic
655C4#1683793611yescharacteristic
656C4#1683795211yescharacteristic
657C2—4722no—
658C2C4×#1427370111yescharacteristic
659C2C4×#1427374711yescharacteristic
660C2C4×#1427375811yescharacteristic
661C2C2×#1683762411yescharacteristic
662C2#2143355111yescharacteristic
663C2#2143411411yescharacteristic
664C2#2143417611yescharacteristic
subgroupG/H
centerC22×C4C2×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC42×Q8×C59C2
socleC23×C59C22×D4
prime radicalC22×D236C23
cosocleC22×C4×C59C24
hypercenterC42×Q8D59
hypocenterC59C4×#464
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22×C4 ◁ C43 ◁ C42×Q8

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11745672C2semidirect
6. #21424864C2semidirect
7. #21424730C2semidirect
10. #21424437C2semidirect
11. #21424111C2semidirect
12. C4×C4⋊(C59⋊C8)C2semidirect
13. C4×#14273650C2semidirect
15. C42×Q8×C59C2semidirect
21. #16837624C4direct (N × H)
67. C2×#11745672C2×C4semidirect
93. C4⋊(C59⋊C8)C2×C4semidirect
98. #14273650C2×C4semidirect
113. C4×Q8×C59C2×C4semidirect
317. C4×C59#464semidirect
329. C42×Q8D59semidirect
394. C59C4×#464semidirect
417. C4×Q8C4×D59semidirect
652. C4#16837624direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168376242
C2×C4×#117456722
C2×C4×#117456712
C4×#142737152
#214250282
#214248642
#214247302
#214247162
#214244512
#214244372
#214241112
C4×C4⋊(C59⋊C8)2
C4×#142736502
C4×#142736472
C42×Q8×C592
C4×#46459