Finite Group Databasebeta

← C4×#16837726 #28595842

Subgroups — C4×#16837726 #28595842

Order 15104.

972 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837726C211yesmaximal, characteristic
2C4×#14273701C211yesmaximal, characteristic
3#21424723C211yesmaximal, characteristic, complemented
4#21424716C211yesmaximal, characteristic, complemented
5#21424688C211yesmaximal, characteristic, complemented
6#21424681C211yesmaximal, characteristic, complemented
7#21424418C211yesmaximal, characteristic
8#21424295C211yesmaximal, characteristic, complemented
9#21424191C211yesmaximal, characteristic, complemented
10C4×#14273660C211yesmaximal, characteristic, complemented
11C4×#14273658C211yesmaximal, characteristic, complemented
12C4×#14273647C211yesmaximal, characteristic, complemented
13C4×#14273647C211yesmaximal, characteristic, complemented
14C4×C22⋊(C59⋊C8)C211yesmaximal, characteristic, complemented
15C4×#117×C59C211yesmaximal, characteristic, complemented
16C2×#14273701C2211yescharacteristic
17C2×C4×D236C2211yescharacteristic
18C2×C4×C22⋊D59—21no—
19#16837726C418yesdirect product factor
20C2×#14273660C2211yescharacteristic
21C2×#14273660C2211yescharacteristic
22C2×#14273658C2211yescharacteristic
23C2×#14273658C2211yescharacteristic
24C2×#14273647C2211yescharacteristic
25C2×#14273647C2211yescharacteristic
26C2×#14273647C2211yescharacteristic
27C2×#14273647C2211yescharacteristic
28C2×C22⋊(C59⋊C8)C2211yescharacteristic
29C2×C22⋊(C59⋊C8)C2211yescharacteristic
30C2×C4×C59⋊C8C2211yescharacteristic
31C2×C4×C59⋊C8C2211yescharacteristic
32#16837304C2211yescharacteristic
33#16837300C2211yescharacteristic
34#16837293—21no—
35#16837281—21no—
36#16837262C2211yescharacteristic
37C4×C4⋊Dic59C2211yescharacteristic
38C4×(C2×D59)⋊C4—21no—
39#16837164C2211yescharacteristic
40#16837164C2211yescharacteristic
41#16837164C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837157C2211yescharacteristic
48#16837157C2211yescharacteristic
49C2×#117×C59C2211yescharacteristic
50C2×#117×C59C2211yescharacteristic
51C22×C42×C59C2211yescharacteristic
52C4×C4⋊C4×C59C2211yescharacteristic
53C4×C4⋊C4×C59C2211yescharacteristic
54C4×C4⋊C4×C59C2211yescharacteristic
55C4×C4⋊C4×C59C2211yescharacteristic
56C4×C22⋊C4×C59—21no—
57C4×C22⋊C4×C59—21no—
58C59×#376—21no—
59C43×C59—21no—
60C22×D236C2311yescharacteristic
61C22×C22⋊D59—21no—
62C22×C4×D59—21no—
63C22×C59⋊C8C2311yescharacteristic
64C22×C59⋊C8C2311yescharacteristic
65C22×C59⋊C8C2311yescharacteristic
66C22×C59⋊C8C2311yescharacteristic
67#14273701—22no—
68#14273701C2×C414yes—
69C4×D236—22no—
70C4×D236—22no—
71C4×C22⋊D59—44no—
72C2×C4⋊Dic59C2311yescharacteristic
73C2×C4⋊Dic59C2311yescharacteristic
74C2×C4⋊Dic59C2311yescharacteristic
75C2×Dic59⋊C4—21no—
76C2×C22⋊Dic59—21no—
77C2×(C2×D59)⋊C4—21no—
78C2×(C2×D59)⋊C4—21no—
79C2×(C2×D59)⋊C4—21no—
80C2×(C2×D59)⋊C4—21no—
81C2×C4×Dic59—21no—
82#14273660—22no—
83#14273660C2×C414yescomplemented
84#14273658—22no—
85#14273658C2×C414yescomplemented
86#14273647—22no—
87#14273647—22no—
88#14273647C2×C414yescomplemented
89#14273647C2×C414yescomplemented
90C22⋊(C59⋊C8)—22no—
91C22⋊(C59⋊C8)C2×C414yescomplemented
92C4×C59⋊C8—22no—
93C4×C59⋊C8—22no—
94C59⋊#95—21no—
95C59⋊#95—21no—
96C59⋊#95—21no—
97C23×C4×C59D411yescharacteristic
98C23×C4×C59D411yescharacteristic
99C23×C4×C59C2311yescharacteristic
100#117×C59—22no—
101#117×C59—22no—
102#117×C59—22no—
103#117×C59C2×C414yescomplemented
104C2×C4⋊C4×C59C2311yescharacteristic
105C2×C4⋊C4×C59C2311yescharacteristic
106C2×C4⋊C4×C59C2311yescharacteristic
107C2×C4⋊C4×C59C2311yescharacteristic
108C2×C22⋊C4×C59—21no—
109C2×C22⋊C4×C59—21no—
110C2×C42×C59—21no—
111C2×C42×C59—21no—
112C2×C42×C59—22no—
113C2×C42×C59—22no—
114C2×C42×C59—21no—
115C2×C42×C59—21no—
116C2×C42×C59—21no—
117C2×C42×C59—21no—
118C2×C42×C59D411yescharacteristic
119C2×C42×C59D411yescharacteristic
120C2×C42×C59C2311yescharacteristic
121C2×C42×C59C2311yescharacteristic
122#95×C59—21no—
123#95×C59—21no—
124#95×C59—21no—
125#95×C59—21no—
126C24×C59C2×D411yescharacteristic
127C23×D59—21no—
128C22×C4×C59—21no—
129C22×C4×C59—21no—
130C22×C4×C59—21no—
131C22×C4×C59—21no—
132C22×C4×C59—21no—
133C22×C4×C59—21no—
134C22×C4×C59—21no—
135C22×C4×C59—21no—
136C22×C4×C59—22no—
137C22×C4×C59—22no—
138C22×C4×C59—22no—
139C22×C4×C59—22no—
140C22×C4×C59—22no—
141C22×C4×C59—41no—
142C22×C4×C59C22×C412yes—
143C22×C4×C59C2×D411yescharacteristic
144C22×C4×C59C2×D411yescharacteristic
145C22×C4×C59C2×D411yescharacteristic
146C22×C4×C59C2×D411yescharacteristic
147C22×C4×C59C2×D411yescharacteristic
148C22×C4×C59#4112yes—
149C22×C4×C59C2411yescharacteristic
150C2×C22⋊D59—24no—
151C2×C22⋊D59—42no—
152C2×C22⋊D59—42no—
153C22×Dic59—21no—
154C22×Dic59—21no—
155C22×Dic59—21no—
156C2×D236—21no—
157C2×D236—21no—
158C2×D236—21no—
159C2×D236—21no—
160C2×D236—21no—
161C2×D236C22×C412yes—
162C2×C4×D59—42no—
163C2×C4×D59—42no—
164C2×C4×D59—42no—
165C4⋊C4×C59—21no—
166C4⋊C4×C59—21no—
167C4⋊C4×C59—21no—
168C4⋊C4×C59—21no—
169C4⋊C4×C59C22×C412yes—
170C4⋊C4×C59C22×C412yes—
171C4⋊C4×C59#4112yes—
172C4⋊C4×C59#4112yes—
173C22⋊C4×C59—24no—
174C22⋊C4×C59—24no—
175C42×C59—24no—
176C42×C59—24no—
177C42×C59—22no—
178C42×C59—22no—
179C42×C59—21no—
180C42×C59—21no—
181C42×C59—42no—
182C42×C59—42no—
183C42×C59—42no—
184C42×C59—42no—
185C42×C59#4112yes—
186C42×C59#4112yes—
187C22⋊Dic59—42no—
188(C2×D59)⋊C4—24no—
189(C2×D59)⋊C4—42no—
190(C2×D59)⋊C4—42no—
191(C2×D59)⋊C4—42no—
192C4⋊Dic59—21no—
193C4⋊Dic59—21no—
194C4⋊Dic59—21no—
195C4⋊Dic59—21no—
196C4⋊Dic59—21no—
197C4⋊Dic59C22×C412yes—
198Dic59⋊C4—42no—
199C4×Dic59—42no—
200C2×C59⋊C8—21no—
201C2×C59⋊C8—21no—
202C2×C59⋊C8—21no—
203C2×C59⋊C8—21no—
204C2×C59⋊C8—21no—
205C2×C59⋊C8—21no—
206C2×C59⋊C8—21no—
207C2×C59⋊C8—21no—
208C2×C59⋊C8—21no—
209C2×C59⋊C8—21no—
210C2×C59⋊C8C22×C412yes—
211C2×C59⋊C8C22×C412yes—
212C23×C59—21no—
213C23×C59—21no—
214C23×C59—21no—
215C23×C59—21no—
216C23×C59—21no—
217C23×C59—21no—
218C23×C59C4×D412yes—
219C23×C59C22×D411yescharacteristic
220C22×D59—22no—
221C22×D59—41no—
222C22×D59—41no—
223C22×D59—41no—
224C22×D59—41no—
225C22×D59—41no—
226C22×D59—41no—
227C2×C4×C59—21no—
228C2×C4×C59—21no—
229C2×C4×C59—21no—
230C2×C4×C59—21no—
231C2×C4×C59—21no—
232C2×C4×C59—21no—
233C2×C4×C59—22no—
234C2×C4×C59—22no—
235C2×C4×C59—22no—
236C2×C4×C59—22no—
237C2×C4×C59—22no—
238C2×C4×C59—22no—
239C2×C4×C59—21no—
240C2×C4×C59—22no—
241C2×C4×C59—22no—
242C2×C4×C59—21no—
243C2×C4×C59—21no—
244C2×C4×C59—44no—
245C2×C4×C59—41no—
246C2×C4×C59—41no—
247C2×C4×C59—41no—
248C2×C4×C59—41no—
249C2×C4×C59—41no—
250C2×C4×C59—41no—
251C2×C4×C59—41no—
252C2×C4×C59—41no—
253C2×C4×C59—44no—
254C2×C4×C59C4×D412yes—
255C2×C4×C59#12312yes—
256C2×C4×C59#12312yes—
257C2×C4×C59#13512yes—
258C2×C4×C59#13512yes—
259C2×C4×C59AGL(1,ℤ/8)12yes—
260C2×C4×C59C23×C411yescharacteristic
261C2×C4×C59C2×#4111yescharacteristic
262C2×C4×C59C2×#4111yescharacteristic
263C2×C4×C59C2×#4111yescharacteristic
264C2×C4×C59C2×#4111yescharacteristic
265C2×C4×C59C2×#4111yescharacteristic
266C22⋊D59—48no—
267C2×Dic59—22no—
268C2×Dic59—41no—
269C2×Dic59—41no—
270C2×Dic59—41no—
271C2×Dic59—41no—
272C2×Dic59—41no—
273C2×Dic59—41no—
274C2×Dic59—41no—
275C2×Dic59—41no—
276D236—22no—
277D236—22no—
278D236—41no—
279D236—41no—
280C4×D59—84no—
281C59⋊C8—22no—
282C59⋊C8—22no—
283C59⋊C8—41no—
284C59⋊C8—41no—
285C4×#482—591nomaximal, Sylow
286C22×C59—22no—
287C22×C59—22no—
288C22×C59—22no—
289C22×C59—41no—
290C22×C59—41no—
291C22×C59—41no—
292C22×C59—41no—
293C22×C59C2×C4×D411yescharacteristic
294C22×C59C2×#12311yescharacteristic
295C22×C59#52511yescharacteristic
296C22×C59C2×#13511yescharacteristic
297C22×C59C2×#13511yescharacteristic
298C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
299C22×C59#57511yescharacteristic
300C2×D59—42no—
301C2×D59—42no—
302C2×D59—42no—
303C2×D59—81no—
304C2×D59—81no—
305C2×D59—81no—
306C2×D59—81no—
307C4×C59—22no—
308C4×C59—22no—
309C4×C59—22no—
310C4×C59—41no—
311C4×C59—42no—
312C4×C59—42no—
313C4×C59—42no—
314C4×C59—42no—
315C4×C59#48214yescomplemented
316C4×C59C4×#4111yescharacteristic
317C4×C59C4×#4111yescharacteristic
318C4×C59#52911yescharacteristic
319C4×C59#52911yescharacteristic
320Dic59—42no—
321Dic59—81no—
322Dic59—81no—
323C2×#482—591no—
324C4×#121—591no—
325C4×#117D5911yescharacteristic, complemented
326#1926—591no—
327#1925—591no—
328#1921—591no—
329#1920—591no—
330#1875—591no—
331#1854—591no—
332#1825—591no—
333C4×#107—591no—
334C4×#106—591no—
335C4×#102—591no—
336C4×#102—591no—
337C4×C22⋊C8—591no—
338C2×C59—42no—
339C2×C59C4×#12311yescharacteristic
340C2×C59C4×#13511yescharacteristic
341C2×C59C4×AGL(1,ℤ/8)11yescharacteristic
342C2×C59C2×#48211yescharacteristic
343C2×C59#309111yescharacteristic
344C2×C59#310211yescharacteristic
345C2×C59#310611yescharacteristic
346D59—82no—
347C2×#121—591no—
348C2×C4×D4—591no—
349C2×C4×D4—1181no—
350C2×#117C2×D5911yescharacteristic
351C2×#117C2×D5911yescharacteristic
352C22×C42C2×D5911yescharacteristic
353#482—598no—
354C2×#107—591no—
355C2×#107—591no—
356C2×#106—591no—
357C2×#106—591no—
358C2×#102—591no—
359C2×#102—591no—
360C2×#102—591no—
361C2×#102—591no—
362C2×C22⋊C8—591no—
363C2×C22⋊C8—591no—
364C2×C4×C8—591no—
365C2×C4×C8—591no—
366#390—591no—
367#389—591no—
368#388—1181no—
369#386—1181no—
370#380—591no—
371C4×C4⋊C4—591no—
372C4×C4⋊C4C2×D5911yescharacteristic
373C4×C4⋊C4C2×D5911yescharacteristic
374C4×C4⋊C4C2×D5911yescharacteristic
375C4×C4⋊C4C2×D5911yescharacteristic
376C4×C22⋊C4—21no—
377C4×C22⋊C4—21no—
378C4×C22⋊C4—1181no—
379#376—21no—
380C43—21no—
381#340—591no—
382#340—591no—
383#340—591no—
384#340—591no—
385#340—591no—
386#340—591no—
387#340—591no—
388#340—591no—
389#336—591no—
390#336—591no—
391C59C4×#48211yescharacteristic, complemented, Sylow
392C22×D4—591no—
393C22×D4—1181no—
394C23×C4—1181no—
395C23×C4C22⋊D5911yescharacteristic
396C23×C4C22⋊D5911yescharacteristic
397C23×C4C22×D5911yescharacteristic
398C22×C8—591no—
399C22×C8—591no—
400C22×C8—591no—
401C22×C8—591no—
402#121—594no—
403#121—1182no—
404C4×D4—1182no—
405C4×D4—1182no—
406C4×D4—2364no—
407#117—22no—
408#117—22no—
409#117—22no—
410#117C4×D5914yescomplemented
411C2×C4⋊C4—591no—
412C2×C4⋊C4—591no—
413C2×C4⋊C4—591no—
414C2×C4⋊C4—1181no—
415C2×C4⋊C4C22×D5911yescharacteristic
416C2×C4⋊C4C22×D5911yescharacteristic
417C2×C4⋊C4C22×D5911yescharacteristic
418C2×C4⋊C4C22×D5911yescharacteristic
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—1181no—
422C2×C22⋊C4—1181no—
423C2×C22⋊C4—1181no—
424C2×C22⋊C4—1181no—
425C2×C22⋊C4—1181no—
426C2×C42—21no—
427C2×C42—21no—
428C2×C42—22no—
429C2×C42—22no—
430C2×C42—21no—
431C2×C42—21no—
432C2×C42—21no—
433C2×C42—21no—
434C2×C42—1181no—
435C2×C42C22⋊D5911yescharacteristic
436C2×C42C22⋊D5911yescharacteristic
437C2×C42C22×D5911yescharacteristic
438C2×C42C22×D5911yescharacteristic
439#107—594no—
440#107—1182no—
441#106—594no—
442#106—1182no—
443#102—594no—
444#102—594no—
445#102—1182no—
446#102—1182no—
447C22⋊C8—594no—
448C22⋊C8—1182no—
449C4×C8—1182no—
450C4×C8—1182no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—1181no—
456#95—1181no—
457#95—1181no—
458C24—1181no—
459C24C2×C22⋊D5911yescharacteristic
460C2×D4—592no—
461C2×D4—1184no—
462C2×D4—1181no—
463C2×D4—1181no—
464C2×D4—1181no—
465C2×D4—1181no—
466C2×D4—1181no—
467C2×D4—2362no—
468C2×D4—2362no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—41no—
483C22×C4—1181no—
484C22×C4—1181no—
485C22×C4—1181no—
486C22×C4—2362no—
487C22×C4—2362no—
488C22×C4—2362no—
489C22×C4C2×C4×D5912yes—
490C22×C4#1174568512yes—
491C22×C4C2×C22⋊D5911yescharacteristic
492C22×C4C2×C22⋊D5911yescharacteristic
493C22×C4C2×C22⋊D5911yescharacteristic
494C22×C4C2×C22⋊D5911yescharacteristic
495C22×C4C2×C22⋊D5911yescharacteristic
496C22×C4C23×D5911yescharacteristic
497C2×C8—592no—
498C2×C8—592no—
499C2×C8—1181no—
500C2×C8—1181no—
501C2×C8—1181no—
502C2×C8—1181no—
503C2×C8—1181no—
504C2×C8—1181no—
505C2×C8—1181no—
506C2×C8—1181no—
507C2×C8—1181no—
508C2×C8—1181no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—592no—
514C4⋊C4—1181no—
515C4⋊C4—1181no—
516C4⋊C4—1181no—
517C4⋊C4—1181no—
518C4⋊C4—1181no—
519C4⋊C4—2362no—
520C4⋊C4C2×C4×D5912yes—
521C4⋊C4C2×C4×D5912yes—
522C4⋊C4#1174568512yes—
523C4⋊C4#1174568512yes—
524C22⋊C4—24no—
525C22⋊C4—24no—
526C22⋊C4—1184no—
527C22⋊C4—2362no—
528C22⋊C4—2362no—
529C22⋊C4—2362no—
530C22⋊C4—2362no—
531C42—24no—
532C42—24no—
533C42—22no—
534C42—22no—
535C42—21no—
536C42—21no—
537C42—42no—
538C42—42no—
539C42—42no—
540C42—42no—
541C42—2362no—
542C42#1174568512yes—
543C42#1174568512yes—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—1182no—
551C23—2361no—
552C23—2361no—
553C23—2361no—
554C23—2361no—
555C23—2361no—
556C23—2361no—
557C23C4×C22⋊D5912yes—
558C23C22×C22⋊D5911yescharacteristic
559D4—1182no—
560D4—1182no—
561D4—2368no—
562D4—2361no—
563D4—2361no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—21no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—44no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—44no—
591C2×C4—1182no—
592C2×C4—4724no—
593C2×C4—2361no—
594C2×C4—2361no—
595C2×C4—2361no—
596C2×C4—2361no—
597C2×C4—2361no—
598C2×C4—2361no—
599C2×C4—2361no—
600C2×C4—2361no—
601C2×C4C4×C22⋊D5912yes—
602C2×C4#1427371012yes—
603C2×C4#1427371012yes—
604C2×C4#1427374712yes—
605C2×C4#1427374712yes—
606C2×C4#1427375212yes—
607C2×C4C22×C4×D5911yescharacteristic
608C2×C4C2×#1174568511yescharacteristic
609C2×C4C2×#1174568511yescharacteristic
610C2×C4C2×#1174568511yescharacteristic
611C2×C4C2×#1174568511yescharacteristic
612C2×C4C2×#1174568511yescharacteristic
613C8—1182no—
614C8—1182no—
615C8—2361no—
616C8—2361no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—4721no—
625C22—4721no—
626C22—4721no—
627C22—4721no—
628C22—2362no—
629C22—2362no—
630C22—2362no—
631C22C2×C4×C22⋊D5911yescharacteristic
632C22C2×#1427371011yescharacteristic
633C22#1683791311yescharacteristic
634C22C2×#1427374711yescharacteristic
635C22C2×#1427374711yescharacteristic
636C22C2×#1427375211yescharacteristic
637C22#1683820011yescharacteristic
638C4—22no—
639C4—22no—
640C4—22no—
641C4—42no—
642C4—42no—
643C4—42no—
644C4—42no—
645C4—41no—
646C4—4721no—
647C4—4721no—
648C4—2362no—
649C4#1683772614yesdirect product factor
650C4C4×#1174568511yescharacteristic
651C4C4×#1174568511yescharacteristic
652C4#1683793611yescharacteristic
653C4#1683793611yescharacteristic
654C2—42no—
655C2—4722no—
656C2C4×#1427371011yescharacteristic
657C2C4×#1427374711yescharacteristic
658C2C4×#1427375211yescharacteristic
659C2C2×#1683772611yescharacteristic
660C2#2143400911yescharacteristic
661C2#2143411411yescharacteristic
662C2#2143415611yescharacteristic
subgroupG/H
centerC22×C4C2×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC4×#117×C59C2
socleC23×C59C22×D4
prime radicalC2×#14273701C22
cosocleC22×C4×C59C24
hypercenterC4×#117D59
hypocenterC59C4×#482
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C4×#117

Complements

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

NH ≅ G/Ntype
3. #21424723C2semidirect
4. #21424716C2semidirect
5. #21424688C2semidirect
6. #21424681C2semidirect
8. #21424295C2semidirect
9. #21424191C2semidirect
10. C4×#14273660C2semidirect
11. C4×#14273658C2semidirect
12. C4×#14273647C2semidirect
13. C4×#14273647C2semidirect
14. C4×C22⋊(C59⋊C8)C2semidirect
15. C4×#117×C59C2semidirect
19. #16837726C4direct (N × H)
83. #14273660C2×C4semidirect
85. #14273658C2×C4semidirect
88. #14273647C2×C4semidirect
89. #14273647C2×C4semidirect
91. C22⋊(C59⋊C8)C2×C4semidirect
103. #117×C59C2×C4semidirect
315. C4×C59#482semidirect
325. C4×#117D59semidirect
391. C59C4×#482semidirect
410. #117C4×D59semidirect
649. C4#16837726direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168377262
C4×#142737012
#214247232
#214247162
#214246882
#214246812
#214244182
#214242952
#214241912
C4×#142736602
C4×#142736582
C4×#142736472
C4×C22⋊(C59⋊C8)2
C4×#117×C592
C4×#48259