Finite Group Databasebeta

← #28606932

Subgroups — #28606932

Order 15104.

978 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837479C211yesmaximal, characteristic
2C2×#16837443C211yesmaximal, characteristic, complemented
3C2×#16837441C211yesmaximal, characteristic, complemented
4#21427028C211yesmaximal, characteristic
5#21427022C211yesmaximal, characteristic
6#21424866C211yesmaximal, characteristic, complemented
7#21424298C211yesmaximal, characteristic, complemented
8#21424292C211yesmaximal, characteristic, complemented
9#21424290C211yesmaximal, characteristic, complemented
10#21424287C211yesmaximal, characteristic, complemented
11#21424258C211yesmaximal, characteristic, complemented
12#21424128C211yesmaximal, characteristic, complemented
13#21424128C211yesmaximal, characteristic, complemented
14C4×#14273658C211yesmaximal, characteristic, complemented
15C59×#1949C211yesmaximal, characteristic, complemented
16C22×#11745659C2211yescharacteristic
17C22×#11745659C2211yescharacteristic
18C2×C4×D236C2211yescharacteristic
19C2×#14273685C2211yescharacteristic
20C2×#14273685C2211yescharacteristic
21C2×C4⋊C4×D59C2211yescharacteristic
22C2×C4⋊C4×D59C2211yescharacteristic
23#16837479C418yescomplemented
24#16837443—24no—
25#16837441—24no—
26C2×#14273661C2211yescharacteristic
27C2×#14273660C2211yescharacteristic
28C2×#14273660C2211yescharacteristic
29C2×#14273659C2211yescharacteristic
30C2×#14273658C2211yescharacteristic
31C2×#14273658C2211yescharacteristic
32C2×#14273658C2211yescharacteristic
33C2×#14273658C2211yescharacteristic
34C2×(C2×D59)⋊C8C2211yescharacteristic
35C2×(C2×D59)⋊C8C2211yescharacteristic
36C2×C4×C59⋊C8C2211yescharacteristic
37#16837293—21no—
38#16837291—21no—
39#16837287—21no—
40#16837285—21no—
41#16837280—21no—
42#16837280—21no—
43#16837268C2211yescharacteristic
44#16837259C2211yescharacteristic
45#16837259C2211yescharacteristic
46#16837259C2211yescharacteristic
47#16837259C2211yescharacteristic
48C4×C4⋊Dic59C2211yescharacteristic
49C4×(C2×D59)⋊C4—21no—
50#16837249—21no—
51#16837165C2211yescharacteristic
52#16837165C2211yescharacteristic
53#16837164C2211yescharacteristic
54#16837164C2211yescharacteristic
55C2×#107×C59C2211yescharacteristic
56C2×#106×C59C2211yescharacteristic
57C2×C4⋊C8×C59C2211yescharacteristic
58C59×#382C2211yescharacteristic
59C4×C4⋊C4×C59C2211yescharacteristic
60C59×#340C2211yescharacteristic
61C59×#340C2211yescharacteristic
62C22×D236D411yescharacteristic
63C22×C4×D59—21no—
64C22×C4×D59—21no—
65C22×C4×D59C2311yescharacteristic
66C22×C4×D59C2311yescharacteristic
67C2×#11745659—22no—
68C2×#11745659—22no—
69C2×#11745659—22no—
70C2×#11745659—22no—
71C2×#11745659C2×C414yescomplemented
72C2×#11745659C2×C414yescomplemented
73C22×C59⋊C8C2311yescharacteristic
74C22×C59⋊C8C2311yescharacteristic
75C4×D236C2×C414yes—
76C4×D236Q814yes—
77#14273685—22no—
78#14273685—22no—
79#14273685—41no—
80#14273685—41no—
81C2×C4⋊Dic59D411yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C4⋊Dic59C2311yescharacteristic
84C2×C4⋊Dic59C2311yescharacteristic
85C2×C4⋊Dic59C2311yescharacteristic
86C2×Dic59⋊C4—21no—
87C2×Dic59⋊C4—21no—
88C4⋊C4×D59—22no—
89C4⋊C4×D59—22no—
90C4⋊C4×D59—41no—
91C4⋊C4×D59—41no—
92C2×(C2×D59)⋊C4—21no—
93C2×(C2×D59)⋊C4—21no—
94C2×(C2×D59)⋊C4—21no—
95C2×(C2×D59)⋊C4—21no—
96C2×(C2×D59)⋊C4—21no—
97C2×(C2×D59)⋊C4—21no—
98C2×(C2×D59)⋊C4D411yescharacteristic
99C2×(C2×D59)⋊C4D411yescharacteristic
100C2×C4×Dic59—21no—
101C2×C4×Dic59—21no—
102C2×C4×Dic59—21no—
103#14273661—22no—
104#14273660—22no—
105#14273660—22no—
106#14273659—22no—
107#14273658—22no—
108#14273658—41no—
109#14273658—41no—
110#14273658D414yescomplemented
111(C2×D59)⋊C8C2×C414yescomplemented
112(C2×D59)⋊C8C2×C414yescomplemented
113C4×C59⋊C8C2×C414yescomplemented
114C59⋊#95—21no—
115C59⋊#95—21no—
116C59⋊#95—21no—
117C59⋊#95—21no—
118C59⋊#95—21no—
119C59⋊#95—21no—
120C59⋊#95—21no—
121C22×C8×C59C2311yescharacteristic
122C22×C8×C59C2311yescharacteristic
123C2×C4⋊C4×C59C2311yescharacteristic
124C2×C4⋊C4×C59C2311yescharacteristic
125C2×C4⋊C4×C59C2311yescharacteristic
126C2×C4⋊C4×C59C2311yescharacteristic
127C2×C42×C59—21no—
128C2×C42×C59C2311yescharacteristic
129#107×C59—22no—
130#106×C59—22no—
131C4⋊C8×C59C2×C414yescomplemented
132#95×C59—21no—
133#95×C59—21no—
134#95×C59—21no—
135C23×D59C2×D411yescharacteristic
136C23×D59C2×D411yescharacteristic
137C22×C4×C59—21no—
138C22×C4×C59—21no—
139C22×C4×C59—21no—
140C22×C4×C59—21no—
141C22×C4×C59C2×D411yescharacteristic
142C22×C4×C59C2×D411yescharacteristic
143C22×C4×C59C2411yescharacteristic
144C22×Dic59—21no—
145C22×Dic59—21no—
146C22×Dic59—21no—
147C22×Dic59—21no—
148C22×Dic59C2×D411yescharacteristic
149C22×Dic59C2×D411yescharacteristic
150C2×D236—41no—
151C2×D236—41no—
152C2×D236C4⋊C414yes—
153C2×C4×D59—21no—
154C2×C4×D59—21no—
155C2×C4×D59—21no—
156C2×C4×D59—21no—
157C2×C4×D59—21no—
158C2×C4×D59—21no—
159C2×C4×D59—21no—
160C2×C4×D59—21no—
161C2×C4×D59—42no—
162C2×C4×D59—42no—
163C2×C4×D59—42no—
164C2×C4×D59—42no—
165C2×C4×D59—81no—
166C2×C4×D59—81no—
167C2×C4×D59C22×C412yes—
168C2×C4×D59C22×C412yes—
169C2×C4×D59C2×Q812yes—
170C2×C4×D59C2×Q812yes—
171C2×C8×C59—21no—
172C2×C8×C59—21no—
173C2×C8×C59—21no—
174C2×C8×C59—21no—
175C2×C8×C59C22×C412yes—
176C2×C8×C59C22×C412yes—
177C4⋊C4×C59—21no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59C2×D412yes—
185C42×C59—81no—
186C42×C59C22×C412yes—
187C42×C59C2×Q812yes—
188(C2×D59)⋊C4—42no—
189(C2×D59)⋊C4—42no—
190(C2×D59)⋊C4—42no—
191(C2×D59)⋊C4—42no—
192(C2×D59)⋊C4—81no—
193(C2×D59)⋊C4—81no—
194(C2×D59)⋊C4C4⋊C414yes—
195(C2×D59)⋊C4C4⋊C414yes—
196C4⋊Dic59—21no—
197C4⋊Dic59—21no—
198C4⋊Dic59—21no—
199C4⋊Dic59—21no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59C4⋊C414yes—
204C4⋊Dic59C2×D412yes—
205Dic59⋊C4—42no—
206Dic59⋊C4—42no—
207C4×Dic59—42no—
208C4×Dic59—42no—
209C4×Dic59—81no—
210C2×C59⋊C8—21no—
211C2×C59⋊C8—21no—
212C2×C59⋊C8C22×C412yes—
213C2×C59⋊C8C22×C412yes—
214C2×C59⋊C8C2×D412yes—
215C2×C59⋊C8#4112yes—
216#11745659—28no—
217#11745659—28no—
218C23×C59C22×D411yescharacteristic
219C22×D59—21no—
220C22×D59—21no—
221C22×D59—21no—
222C22×D59—21no—
223C22×D59—21no—
224C22×D59—21no—
225C22×D59—21no—
226C22×D59—21no—
227C22×D59—21no—
228C22×D59—21no—
229C22×D59—21no—
230C22×D59—21no—
231C22×D59C2×C4⋊C412yes—
232C22×D59C2×C4⋊C412yes—
233C2×C4×C59—21no—
234C2×C4×C59—21no—
235C2×C4×C59—21no—
236C2×C4×C59—21no—
237C2×C4×C59—22no—
238C2×C4×C59—41no—
239C2×C4×C59—41no—
240C2×C4×C59—41no—
241C2×C4×C59—41no—
242C2×C4×C59—41no—
243C2×C4×C59—41no—
244C2×C4×C59—41no—
245C2×C4×C59—41no—
246C2×C4×C59—41no—
247C2×C4×C59—41no—
248C2×C4×C59—41no—
249C2×C4×C59C2×C4⋊C412yes—
250C2×C4×C59C2×C4⋊C412yes—
251C2×C4×C59C23×C411yescharacteristic
252C2×C4×C59C22×D411yescharacteristic
253C2×C4×C59C22×Q811yescharacteristic
254C2×C4×C59C2×#4111yescharacteristic
255C2×C4×C59H(5,𝔽2)11yescharacteristic
256C2×C4×C592−1+411yescharacteristic
257C2×Dic59—21no—
258C2×Dic59—21no—
259C2×Dic59—21no—
260C2×Dic59—21no—
261C2×Dic59—22no—
262C2×Dic59—41no—
263C2×Dic59—41no—
264C2×Dic59—41no—
265C2×Dic59—41no—
266C2×Dic59—41no—
267C2×Dic59—41no—
268C2×Dic59—41no—
269C2×Dic59—41no—
270C2×Dic59—41no—
271C2×Dic59—41no—
272C2×Dic59—41no—
273C2×Dic59C2×C4⋊C412yes—
274C2×Dic59C2×C4⋊C412yes—
275D236—44no—
276C4×D59—22no—
277C4×D59—22no—
278C4×D59—22no—
279C4×D59—22no—
280C4×D59—22no—
281C4×D59—22no—
282C4×D59—22no—
283C4×D59—22no—
284C4×D59—84no—
285C4×D59—84no—
286C8×C59—22no—
287C8×C59—22no—
288C59⋊C8—22no—
289C59⋊C8C4×D414yes—
290#22666—591nomaximal, Sylow
291C22×C59C22×C4⋊C411yescharacteristic
292C22×C59D4211yescharacteristic
293C22×C59#54711yescharacteristic
294C22×C59#57511yescharacteristic
295C22×C59#57511yescharacteristic
296C22×C59#57711yescharacteristic
297C22×C59#57711yescharacteristic
298C2×D59—22no—
299C2×D59—22no—
300C2×D59—22no—
301C2×D59—22no—
302C2×D59—22no—
303C2×D59—22no—
304C2×D59—41no—
305C2×D59—41no—
306C2×D59—41no—
307C2×D59—41no—
308C2×D59—41no—
309C2×D59—41no—
310C2×D59—41no—
311C2×D59—41no—
312C4×C59—22no—
313C4×C59—22no—
314C4×C59—42no—
315C4×C59—81no—
316C4×C59—81no—
317C4×C59—81no—
318C4×C59C2×C4×D411yescharacteristic
319C4×C59#52011yescharacteristic
320C4×C59D4×Q811yescharacteristic
321C4×C59#55411yescharacteristic
322Dic59—22no—
323Dic59—22no—
324Dic59—42no—
325Dic59—81no—
326Dic59—81no—
327Dic59—81no—
328C2×#436—591no—
329C2×#428—591no—
330C2×#428—591no—
331#2352—591no—
332#2352—591no—
333#1949—591no—
334#1949D5911yescharacteristic, complemented
335#1854—591no—
336#1854—591no—
337#1853—591no—
338#1853—591no—
339#1846—591no—
340#1809—591no—
341#1809—591no—
342C4×#106—591no—
343C2×C59D4×C4⋊C411yescharacteristic
344C2×C59#291111yescharacteristic
345C2×C59#291211yescharacteristic
346C2×C59#327511yescharacteristic
347C2×C59#327511yescharacteristic
348C2×C59#335111yescharacteristic
349C2×C59#335111yescharacteristic
350D59—42no—
351D59—42no—
352C22×M16—591no—
353C22×M16—591no—
354C2×C4×D4—591no—
355C2×#117—591no—
356C2×#117—591no—
357C22×C4⋊C4—591no—
358C22×C4⋊C4—591no—
359#436—598no—
360#428—1184no—
361#428—1184no—
362C2×#107—591no—
363C2×#107—591no—
364C2×#107—591no—
365C2×#107C2×D5911yescharacteristic
366C2×#106—591no—
367C2×#106—591no—
368C2×#106—591no—
369C2×#106—591no—
370C2×#106—591no—
371C2×#106C2×D5911yescharacteristic
372C2×C4⋊C8C2×D5911yescharacteristic
373C2×C22⋊C8—591no—
374C2×C22⋊C8—591no—
375C2×C4×C8—591no—
376#388—1181no—
377#388—1181no—
378#387—1181no—
379#387—1181no—
380#386—1181no—
381#386—1181no—
382#382—591no—
383#382C2×D5911yescharacteristic
384#380—591no—
385#380—591no—
386#380—591no—
387#380—591no—
388C4×C4⋊C4—591no—
389C4×C4⋊C4C2×D5911yescharacteristic
390C4×C22⋊C4—1181no—
391C4×C22⋊C4—1181no—
392#340—591no—
393#340—591no—
394#340—591no—
395#340—591no—
396#340C2×D5911yescharacteristic
397#340C2×D5911yescharacteristic
398C59#2266611yescharacteristic, complemented, Sylow
399C22×D4—591no—
400C23×C4—591no—
401C23×C4—591no—
402C23×C4—1181no—
403C23×C4—1181no—
404C2×M16—594no—
405C2×M16—594no—
406C2×M16—1182no—
407C2×M16—1182no—
408C2×M16—1182no—
409C2×M16—1182no—
410C22×C8—591no—
411C22×C8—591no—
412C22×C8C22×D5911yescharacteristic
413C22×C8C22×D5911yescharacteristic
414C4×D4—594no—
415C4×D4—594no—
416#117—1182no—
417#117—1182no—
418#117—2361no—
419#117—2361no—
420C2×C4⋊C4—591no—
421C2×C4⋊C4—591no—
422C2×C4⋊C4—591no—
423C2×C4⋊C4—591no—
424C2×C4⋊C4—591no—
425C2×C4⋊C4—1182no—
426C2×C4⋊C4—1182no—
427C2×C4⋊C4—1181no—
428C2×C4⋊C4—1181no—
429C2×C4⋊C4—2361no—
430C2×C4⋊C4—2361no—
431C2×C4⋊C4C22×D5911yescharacteristic
432C2×C4⋊C4C22×D5911yescharacteristic
433C2×C4⋊C4C22×D5911yescharacteristic
434C2×C4⋊C4C22×D5911yescharacteristic
435C2×C22⋊C4—591no—
436C2×C22⋊C4—591no—
437C2×C22⋊C4—1181no—
438C2×C22⋊C4—1181no—
439C2×C22⋊C4—1181no—
440C2×C22⋊C4—1181no—
441C2×C22⋊C4—1181no—
442C2×C22⋊C4—1181no—
443C2×C42—21no—
444C2×C42—1181no—
445C2×C42—1181no—
446C2×C42—1181no—
447C2×C42C22×D5911yescharacteristic
448#107—22no—
449#107—1182no—
450#107—1182no—
451#107—1182no—
452#106—22no—
453#106—594no—
454#106—1182no—
455#106—1182no—
456#106—2361no—
457#106—2361no—
458C4⋊C8C4×D5914yescomplemented
459C22⋊C8—594no—
460C22⋊C8—594no—
461C4×C8—594no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—1181no—
466#95—1181no—
467#95—1181no—
468#95—1181no—
469#95—1181no—
470#95—1181no—
471#95—1181no—
472C24—591no—
473C24—591no—
474C2×D4—594no—
475C2×D4—2361no—
476C2×D4—2361no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—591no—
482C22×C4—591no—
483C22×C4—592no—
484C22×C4—592no—
485C22×C4—592no—
486C22×C4—592no—
487C22×C4—1181no—
488C22×C4—1181no—
489C22×C4—1181no—
490C22×C4—1181no—
491C22×C4—1181no—
492C22×C4—1181no—
493C22×C4—1181no—
494C22×C4—1181no—
495C22×C4—1181no—
496C22×C4—1181no—
497C22×C4—1181no—
498C22×C4—1181no—
499C22×C4—4721no—
500C22×C4—4721no—
501C22×C4—2362no—
502C22×C4—2362no—
503C22×C4—2362no—
504C22×C4—2362no—
505C22×C4D4×D5911yescharacteristic
506C22×C4D4×D5911yescharacteristic
507C22×C4C23×D5911yescharacteristic
508M16—1188no—
509M16—1188no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—592no—
515C2×C8—592no—
516C2×C8—592no—
517C2×C8—592no—
518C2×C8—1181no—
519C2×C8—1181no—
520C2×C8C2×C4×D5912yes—
521C2×C8C2×C4×D5912yes—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—594no—
530C4⋊C4—592no—
531C4⋊C4—1181no—
532C4⋊C4—1181no—
533C4⋊C4—1181no—
534C4⋊C4—1181no—
535C4⋊C4—1181no—
536C4⋊C4—1181no—
537C4⋊C4—1181no—
538C4⋊C4—2362no—
539C4⋊C4—2362no—
540C4⋊C4D4×D5912yes—
541C22⋊C4—594no—
542C22⋊C4—594no—
543C22⋊C4—4721no—
544C22⋊C4—4721no—
545C22⋊C4—2362no—
546C22⋊C4—2362no—
547C22⋊C4—2362no—
548C22⋊C4—2362no—
549C42—81no—
550C42—4721no—
551C42—2362no—
552C42—2362no—
553C42C2×C4×D5912yes—
554C42Q8×D5912yes—
555C23—592no—
556C23—592no—
557C23—1181no—
558C23—1181no—
559C23—1181no—
560C23—1181no—
561C23—1181no—
562C23—1181no—
563C23—1181no—
564C23—1181no—
565C23—1181no—
566C23—1181no—
567C23—1181no—
568C23—1181no—
569C23C2×D4×D5911yescharacteristic
570D4—2364no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—22no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—592no—
588C2×C4—592no—
589C2×C4—1181no—
590C2×C4—1181no—
591C2×C4—1181no—
592C2×C4—1181no—
593C2×C4—1182no—
594C2×C4—1182no—
595C2×C4—1182no—
596C2×C4—1182no—
597C2×C4—1182no—
598C2×C4—1182no—
599C2×C4—1182no—
600C2×C4—1182no—
601C2×C4—1182no—
602C2×C4—4724no—
603C2×C4—4724no—
604C2×C4—2361no—
605C2×C4—2361no—
606C2×C4—2361no—
607C2×C4—2361no—
608C2×C4—2361no—
609C2×C4—2361no—
610C2×C4—2361no—
611C2×C4—2361no—
612C2×C4—2361no—
613C2×C4—2361no—
614C2×C4—2361no—
615C2×C4C4⋊C4×D5912yes—
616C2×C4C4⋊C4×D5912yes—
617C2×C4C22×C4×D5911yescharacteristic
618C2×C4C2×D4×D5911yescharacteristic
619C2×C4C2×Q8×D5911yescharacteristic
620C2×C4#41×D5911yescharacteristic
621C2×C4#1427377311yescharacteristic
622C2×C4#1427377511yescharacteristic
623C8—22no—
624C8—22no—
625C8—594no—
626C8—1182no—
627C22—1182no—
628C22—1182no—
629C22—1182no—
630C22—1182no—
631C22—1182no—
632C22—1182no—
633C22—2361no—
634C22—2361no—
635C22—2361no—
636C22—2361no—
637C22—2361no—
638C22—2361no—
639C22—2361no—
640C22—2361no—
641C22C2×C4⋊C4×D5911yescharacteristic
642C22#1683803611yescharacteristic
643C22#1683805411yescharacteristic
644C22#1683819911yescharacteristic
645C22#1683819911yescharacteristic
646C22#1683821111yescharacteristic
647C22#1683821211yescharacteristic
648C4—22no—
649C4—22no—
650C4—42no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4—1182no—
655C4—1182no—
656C4—4721no—
657C4—4721no—
658C4—4721no—
659C4—2362no—
660C4C4×D4×D5911yescharacteristic
661C4#1683788411yescharacteristic
662C4#1683806711yescharacteristic
663C4#1683810811yescharacteristic
664C2—2362no—
665C2—2362no—
666C2#2142699711yescharacteristic
667C2#2143268411yescharacteristic
668C2#2143269011yescharacteristic
669C2#2143572211yescharacteristic
670C2#2143573311yescharacteristic
671C2#2143665311yescharacteristic
672C2#2143666311yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1949C2
socleC23×C59C22×D4
prime radicalC22×D236D4
cosocleC22×C4×C59C24
hypercenter#1949D59
hypocenterC59#22666
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1949

Complements

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

NH ≅ G/Ntype
2. C2×#16837443C2semidirect
3. C2×#16837441C2semidirect
6. #21424866C2semidirect
7. #21424298C2semidirect
8. #21424292C2semidirect
9. #21424290C2semidirect
10. #21424287C2semidirect
11. #21424258C2semidirect
12. #21424128C2semidirect
13. #21424128C2semidirect
14. C4×#14273658C2semidirect
15. C59×#1949C2semidirect
23. #16837479C4semidirect
71. C2×#11745659C2×C4semidirect
72. C2×#11745659C2×C4semidirect
110. #14273658D4semidirect
111. (C2×D59)⋊C8C2×C4semidirect
112. (C2×D59)⋊C8C2×C4semidirect
113. C4×C59⋊C8C2×C4semidirect
131. C4⋊C8×C59C2×C4semidirect
334. #1949D59semidirect
398. C59#22666semidirect
458. C4⋊C8C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168374792
C2×#168374432
C2×#168374412
#214270282
#214270222
#214248662
#214242982
#214242922
#214242902
#214242872
#214242582
#214241282
C4×#142736582
C59×#19492
#2266659