Finite Group Databasebeta

← #28588270

Subgroups — #28588270

Order 15104.

1590 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D59C211yesmaximal, characteristic
2C2×#16837444C211yesmaximal, characteristic, complemented
3#21426475C211yesmaximal, characteristic
4C2×#16837259C211yesmaximal, characteristic
5#21424130C212yesmaximal, complemented
6#21424126C212yesmaximal, complemented
7#21424122C212yesmaximal, complemented
8#21424118C212yesmaximal, complemented
9#21423817C211yesmaximal, characteristic, complemented
10#21423815C211yesmaximal, characteristic, complemented
11C2×C59×#428C211yesmaximal, characteristic, complemented
12C23×C4×D59C2211yescharacteristic
13C22×#11745664C2211yescharacteristic
14C22×#11745659C2212yes—
15C2×M16×D59—24no—
16C2×M16×D59—24no—
17C2×M16×D59C418yescomplemented
18C22×C8×D59C2212yes—
19C2×#14273686C2211yescharacteristic
20C22×C4⋊Dic59C2211yescharacteristic
21C22×(C2×D59)⋊C4—21no—
22#16837444—24no—
23C2×#14273661C2212yescomplemented
24C2×#14273659C2212yescomplemented
25#16837263—21no—
26#16837259—21no—
27#16837259—21no—
28#16837259C2211yescharacteristic
29#16837259C2212yes—
30#16837259C2212yes—
31#16837259C2211yescharacteristic
32#16837259C2211yescharacteristic
33#16837259C2211yescharacteristic
34#16837257—21no—
35C4×(C2×D59)⋊C4—21no—
36C4×(C2×D59)⋊C4—21no—
37C2×C59⋊#95—21no—
38#16837164C2212yescomplemented
39#16837164C2212yescomplemented
40#16837164C2212yescomplemented
41#16837164C2212yescomplemented
42C22×M16×C59C2211yescharacteristic
43C2×#117×C59C2211yescharacteristic
44C22×C4⋊C4×C59C2211yescharacteristic
45C59×#428—24no—
46C2×#107×C59C2212yescomplemented
47C2×#106×C59C2212yescomplemented
48C24×D59D411yescharacteristic
49C23×Dic59—21no—
50C23×Dic59D411yescharacteristic
51C22×C4×D59—22no—
52C22×C4×D59—22no—
53C22×C4×D59—22no—
54C22×C4×D59—22no—
55C22×C4×D59C2×C414yes—
56C22×C4×D59D411yescharacteristic
57C22×C4×D59D411yescharacteristic
58C22×C4×D59Q814yes—
59C22×C4×D59C2311yescharacteristic
60C22×C4×D59C2311yescharacteristic
61C2×#11745664—22no—
62C2×#11745664—22no—
63C2×#11745664C2×C414yes—
64C2×#11745659—24no—
65C2×#11745659—24no—
66C2×#11745659C2×C418yescomplemented
67M16×D59—232no—
68C22×C59⋊C8C2312yes—
69C2×C8×D59—24no—
70C2×C8×D59—24no—
71C2×C8×D59C2×C418yescomplemented
72#14273686—22no—
73#14273686—22no—
74C2×C4⋊Dic59—22no—
75C2×C4⋊Dic59—22no—
76C2×C4⋊Dic59—21no—
77C2×C4⋊Dic59C2311yescharacteristic
78C2×C4⋊Dic59C2312yes—
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C22⋊Dic59—21no—
81C2×(C2×D59)⋊C4—21no—
82C2×(C2×D59)⋊C4—21no—
83C2×(C2×D59)⋊C4—21no—
84C2×(C2×D59)⋊C4—21no—
85C2×(C2×D59)⋊C4—22no—
86C2×(C2×D59)⋊C4—22no—
87C2×(C2×D59)⋊C4—44no—
88C2×C4×Dic59—21no—
89#14273661—24no—
90#14273659—24no—
91C59⋊#95—22no—
92C59⋊#95—22no—
93C59⋊#95—21no—
94C59⋊#95—21no—
95C59⋊#95—21no—
96C59⋊#95—21no—
97C23×C4×C59—21no—
98C23×C4×C59C2311yescharacteristic
99C2×M16×C59C2×C414yes—
100C2×M16×C59D414yes—
101C2×M16×C59D414yes—
102C22×C8×C59C2312yes—
103#117×C59—22no—
104#117×C59—22no—
105C2×C4⋊C4×C59—22no—
106C2×C4⋊C4×C59—22no—
107C2×C4⋊C4×C59—21no—
108C2×C4⋊C4×C59C2311yescharacteristic
109C2×C4⋊C4×C59C2312yes—
110C2×C4⋊C4×C59C2311yescharacteristic
111C2×C22⋊C4×C59—21no—
112C2×C42×C59—21no—
113#107×C59—24no—
114#106×C59—24no—
115C24×C59C2×D411yescharacteristic
116C23×D59—22no—
117C23×D59—22no—
118C23×D59—22no—
119C23×D59—22no—
120C23×D59—41no—
121C23×D59—41no—
122C23×D59C4⋊C414yes—
123C23×D59C2×D411yescharacteristic
124C23×D59C2×D411yescharacteristic
125C22×C4×C59—21no—
126C22×C4×C59—21no—
127C22×C4×C59—22no—
128C22×C4×C59—42no—
129C22×C4×C59—42no—
130C22×C4×C59—42no—
131C22×C4×C59C22×C412yes—
132C22×C4×C59C2×D412yes—
133C22×C4×C59C2×D412yes—
134C22×C4×C59C2×D411yescharacteristic
135C22×C4×C59C2×Q812yes—
136C22×C4×C59#4112yes—
137C22×C4×C59#4112yes—
138C22×C4×C59C2411yescharacteristic
139C22×Dic59—22no—
140C22×Dic59—22no—
141C22×Dic59—21no—
142C22×Dic59—21no—
143C22×Dic59—22no—
144C22×Dic59—42no—
145C22×Dic59—42no—
146C22×Dic59—42no—
147C22×Dic59C4⋊C414yes—
148C22×Dic59C2×D411yescharacteristic
149C22×Dic59C2×D411yescharacteristic
150C2×C4×D59—28no—
151C2×C4×D59—28no—
152C2×C4×D59—22no—
153C2×C4×D59—22no—
154C2×C4×D59—22no—
155C2×C4×D59—22no—
156C2×C4×D59—28no—
157C2×C4×D59—28no—
158C2×C4×D59—21no—
159C2×C4×D59—21no—
160C2×C4×D59—21no—
161C2×C4×D59—21no—
162C2×C4×D59—21no—
163C2×C4×D59—21no—
164C2×C4×D59—21no—
165C2×C4×D59—21no—
166C2×C4×D59C4⋊C414yes—
167C2×C4×D59C4⋊C414yes—
168C2×C4×D59C22×C412yes—
169C2×C4×D59C22×C412yes—
170C2×C4×D59C2×Q812yes—
171C2×C4×D59C2×Q812yes—
172M16×C59C22⋊C4116yescomplemented
173C2×C8×C59C22×C414yes—
174C2×C8×C59C2×D414yes—
175C2×C8×C59C2×D414yes—
176C4⋊C4×C59—21no—
177C4⋊C4×C59—22no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—22no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—42no—
183C22⋊C4×C59—42no—
184C42×C59—42no—
185C22⋊Dic59—42no—
186(C2×D59)⋊C4—42no—
187(C2×D59)⋊C4—42no—
188(C2×D59)⋊C4—44no—
189(C2×D59)⋊C4—42no—
190(C2×D59)⋊C4—44no—
191(C2×D59)⋊C4—42no—
192C4⋊Dic59—21no—
193C4⋊Dic59—22no—
194C4⋊Dic59—21no—
195C4⋊Dic59—22no—
196C4⋊Dic59—21no—
197C4⋊Dic59—21no—
198C4⋊Dic59—42no—
199C4×Dic59—42no—
200#11745664—28no—
201C2×C59⋊C8—22no—
202C2×C59⋊C8—22no—
203C2×C59⋊C8C22×C414yes—
204#11745659—216no—
205C8×D59—216no—
206C23×C59—21no—
207C23×C59—21no—
208C23×C59—21no—
209C23×C59—21no—
210C23×C59C2×C4⋊C412yes—
211C23×C59#12112yes—
212C23×C59#12112yes—
213C23×C59C22×D411yescharacteristic
214C22×D59—21no—
215C22×D59—21no—
216C22×D59—21no—
217C22×D59—21no—
218C22×D59—21no—
219C22×D59—21no—
220C22×D59—21no—
221C22×D59—21no—
222C22×D59—21no—
223C22×D59—21no—
224C22×D59—28no—
225C22×D59—28no—
226C22×D59—44no—
227C22×D59—44no—
228C22×D59—44no—
229C22×D59—44no—
230C22×D59—44no—
231C22×D59C2×C4⋊C412yes—
232C22×D59C2×C4⋊C412yes—
233C22×D59AGL(1,ℤ/8)12yes—
234C22×D59#13712yes—
235C2×C4×C59—41no—
236C2×C4×C59—41no—
237C2×C4×C59—42no—
238C2×C4×C59—42no—
239C2×C4×C59—41no—
240C2×C4×C59—41no—
241C2×C4×C59—41no—
242C2×C4×C59—41no—
243C2×C4×C59—42no—
244C2×C4×C59—84no—
245C2×C4×C59C2×C22⋊C414yes—
246C2×C4×C59C2×C4⋊C412yes—
247C2×C4×C59#11714yes—
248C2×C4×C59#12112yes—
249C2×C4×C59#12112yes—
250C2×C4×C59C22⋊Q814yes—
251C2×C4×C59C22⋊Q814yes—
252C2×C4×C59C23×C411yescharacteristic
253C2×C4×C59C22×D411yescharacteristic
254C2×C4×C59C22×D411yescharacteristic
255C2×C4×C59C22×Q811yescharacteristic
256C2×C4×C59C2×#4111yescharacteristic
257C2×C4×C59C2×#4111yescharacteristic
258C2×Dic59—21no—
259C2×Dic59—21no—
260C2×Dic59—21no—
261C2×Dic59—21no—
262C2×Dic59—28no—
263C2×Dic59—41no—
264C2×Dic59—41no—
265C2×Dic59—42no—
266C2×Dic59—42no—
267C2×Dic59—41no—
268C2×Dic59—41no—
269C2×Dic59—41no—
270C2×Dic59—41no—
271C2×Dic59—42no—
272C2×Dic59—84no—
273C2×Dic59C2×C4⋊C412yes—
274C2×Dic59C2×C4⋊C412yes—
275C4×D59—22no—
276C4×D59—22no—
277C4×D59—22no—
278C4×D59—22no—
279C4×D59—22no—
280C4×D59—22no—
281C4×D59—22no—
282C4×D59—22no—
283C4×D59—28no—
284C4×D59—28no—
285C8×C59C2×C22⋊C418yescomplemented
286C59⋊C8—24no—
287#20661—591nomaximal, Sylow
288C22×C59—22no—
289C22×C59—22no—
290C22×C59—22no—
291C22×C59—22no—
292C22×C59—22no—
293C22×C59—22no—
294C22×C59#38014yes—
295C22×C59C22×C4⋊C411yescharacteristic
296C22×C59C2×#12111yescharacteristic
297C22×C59C2×#12111yescharacteristic
298C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
299C22×C59C2×#13711yescharacteristic
300C22×C59#57511yescharacteristic
301C22×C59#57511yescharacteristic
302C2×D59—22no—
303C2×D59—22no—
304C2×D59—22no—
305C2×D59—22no—
306C2×D59—22no—
307C2×D59—22no—
308C2×D59—22no—
309C2×D59—22no—
310C2×D59—22no—
311C2×D59—416no—
312C2×D59—41no—
313C2×D59—41no—
314C2×D59—41no—
315C2×D59—41no—
316C2×D59#42814yescomplemented
317C4×C59—81no—
318C4×C59—82no—
319C4×C59—81no—
320C4×C59#38014yes—
321C4×C59C22×C22⋊C411yescharacteristic
322C4×C59C2×#11711yescharacteristic
323C4×C59C2×C22⋊Q811yescharacteristic
324C4×C59C2×C22⋊Q811yescharacteristic
325Dic59—22no—
326Dic59—22no—
327Dic59—81no—
328Dic59—82no—
329Dic59—81no—
330C23×M16—591no—
331C2×#428—591no—
332C2×#428D5911yescharacteristic, complemented
333#2280—591no—
334C2×#380—591no—
335#1809—592no—
336#1809—592no—
337#1808—592no—
338#1807—592no—
339#1736—591no—
340#1736—591no—
341C2×C59—24no—
342C2×C59C2×#38011yescharacteristic
343C2×C59C2×#42811yescharacteristic
344C2×C59#291111yescharacteristic
345C2×C59#305511yescharacteristic
346C2×C59#305511yescharacteristic
347C2×C59#305611yescharacteristic
348C2×C59#305611yescharacteristic
349D59—24no—
350D59—42no—
351C24×C4—591no—
352C22×M16—591no—
353C22×M16—598no—
354C22×M16—592no—
355C22×M16—1184no—
356C22×M16—1184no—
357C22×M16C2×D5911yescharacteristic
358C23×C8—592no—
359C2×#117—591no—
360C2×#117C2×D5911yescharacteristic
361C22×C4⋊C4—591no—
362C22×C4⋊C4C2×D5911yescharacteristic
363C22×C22⋊C4—1181no—
364#428—24no—
365#428—1184no—
366C2×#107—592no—
367C2×#107C2×D5912yescomplemented
368C2×#106—592no—
369C2×#106C2×D5912yescomplemented
370#381—1181no—
371#380—591no—
372#380—592no—
373#380—591no—
374#380—592no—
375#380—591no—
376#380—591no—
377#380—1181no—
378#380—1181no—
379#379—1181no—
380C4×C22⋊C4—1181no—
381C4×C22⋊C4—1181no—
382C2×#95—1181no—
383#340—592no—
384#340—592no—
385#340—592no—
386#340—592no—
387C59#2066111yescharacteristic, complemented, Sylow
388C25—591no—
389C23×C4—21no—
390C23×C4—591no—
391C23×C4—594no—
392C23×C4—591no—
393C23×C4—591no—
394C23×C4—594no—
395C23×C4—591no—
396C23×C4—591no—
397C23×C4—1182no—
398C23×C4—1182no—
399C23×C4—1182no—
400C23×C4—1182no—
401C23×C4—1181no—
402C23×C4C22×D5911yescharacteristic
403C2×M16—594no—
404C2×M16—598no—
405C2×M16—1182no—
406C2×M16—1182no—
407C2×M16—11832no—
408C2×M16—1184no—
409C2×M16—1184no—
410C2×M16C4×D5914yes—
411C2×M16D23614yes—
412C2×M16C22⋊D5914yes—
413C22×C8—592no—
414C22×C8—598no—
415C22×C8—1184no—
416C22×C8—1184no—
417C22×C8C22×D5912yes—
418#117—22no—
419#117—22no—
420#117—1182no—
421#117—1182no—
422C2×C4⋊C4—22no—
423C2×C4⋊C4—22no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—592no—
426C2×C4⋊C4—591no—
427C2×C4⋊C4—591no—
428C2×C4⋊C4—1182no—
429C2×C4⋊C4—1182no—
430C2×C4⋊C4—1181no—
431C2×C4⋊C4C22×D5912yes—
432C2×C4⋊C4C22×D5911yescharacteristic
433C2×C4⋊C4C22×D5911yescharacteristic
434C2×C22⋊C4—21no—
435C2×C22⋊C4—1182no—
436C2×C22⋊C4—1182no—
437C2×C22⋊C4—1181no—
438C2×C22⋊C4—1181no—
439C2×C22⋊C4—1181no—
440C2×C22⋊C4—1181no—
441C2×C22⋊C4—1181no—
442C2×C22⋊C4—2364no—
443C2×C42—21no—
444C2×C42—1181no—
445#107—24no—
446#107—1184no—
447#106—24no—
448#106—1184no—
449#95—1182no—
450#95—1182no—
451#95—1181no—
452#95—1181no—
453#95—1181no—
454#95—1181no—
455C24—591no—
456C24—591no—
457C24—594no—
458C24—1182no—
459C24—1182no—
460C24—1182no—
461C24—1182no—
462C24—2361no—
463C24—2361no—
464C24D4×D5911yescharacteristic
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—594no—
472C22×C4—591no—
473C22×C4—591no—
474C22×C4—594no—
475C22×C4—594no—
476C22×C4—592no—
477C22×C4—592no—
478C22×C4—592no—
479C22×C4—592no—
480C22×C4—1182no—
481C22×C4—1182no—
482C22×C4—1188no—
483C22×C4—1188no—
484C22×C4—1182no—
485C22×C4—1182no—
486C22×C4—1182no—
487C22×C4—1182no—
488C22×C4—1188no—
489C22×C4—1188no—
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—1181no—
500C22×C4—1182no—
501C22×C4—2362no—
502C22×C4—2362no—
503C22×C4—2362no—
504C22×C4C2×C4×D5912yes—
505C22×C4C2×D23612yes—
506C22×C4D4×D5911yescharacteristic
507C22×C4#1174568712yes—
508C22×C4Q8×D5912yes—
509C22×C4#1174568912yes—
510C22×C4C2×C22⋊D5912yes—
511C22×C4C23×D5911yescharacteristic
512M16—1188no—
513M16—11816no—
514M16(C2×D59)⋊C4116yescomplemented
515C2×C8—594no—
516C2×C8—1182no—
517C2×C8—1182no—
518C2×C8—11816no—
519C2×C8C2×C4×D5914yes—
520C2×C8C2×D23614yes—
521C2×C8C2×C22⋊D5914yes—
522C4⋊C4—21no—
523C4⋊C4—22no—
524C4⋊C4—21no—
525C4⋊C4—22no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—42no—
529C4⋊C4—1181no—
530C4⋊C4—1182no—
531C4⋊C4—1181no—
532C4⋊C4—1182no—
533C4⋊C4—1181no—
534C4⋊C4—1181no—
535C4⋊C4—2362no—
536C22⋊C4—42no—
537C22⋊C4—2364no—
538C22⋊C4—2362no—
539C22⋊C4—2362no—
540C22⋊C4—2364no—
541C22⋊C4—2362no—
542C22⋊C4—2362no—
543C22⋊C4—2362no—
544C42—42no—
545C42—2362no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—592no—
551C23—592no—
552C23—592no—
553C23—592no—
554C23—1188no—
555C23—1181no—
556C23—1181no—
557C23—1181no—
558C23—1181no—
559C23—1181no—
560C23—1181no—
561C23—1181no—
562C23—1181no—
563C23—1181no—
564C23—1181no—
565C23—1188no—
566C23—2364no—
567C23—2364no—
568C23—2364no—
569C23—2364no—
570C23—2364no—
571C23C4⋊C4×D5912yes—
572C23#1427369812yes—
573C23#1427370212yes—
574C23C2×D4×D5911yescharacteristic
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—42no—
578C2×C4—42no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—42no—
583C2×C4—41no—
584C2×C4—84no—
585C2×C4—592no—
586C2×C4—592no—
587C2×C4—1181no—
588C2×C4—1181no—
589C2×C4—1181no—
590C2×C4—1181no—
591C2×C4—1188no—
592C2×C4—1182no—
593C2×C4—1182no—
594C2×C4—1182no—
595C2×C4—1182no—
596C2×C4—1188no—
597C2×C4—1188no—
598C2×C4—1182no—
599C2×C4—1182no—
600C2×C4—1182no—
601C2×C4—1182no—
602C2×C4—4724no—
603C2×C4—2361no—
604C2×C4—2361no—
605C2×C4—2362no—
606C2×C4—2362no—
607C2×C4—2361no—
608C2×C4—2361no—
609C2×C4—2361no—
610C2×C4—2361no—
611C2×C4—2362no—
612C2×C4C2×(C2×D59)⋊C414yes—
613C2×C4C4⋊C4×D5912yes—
614C2×C4#1427368514yes—
615C2×C4#1427369812yes—
616C2×C4#1427370212yes—
617C2×C4#1427370314yes—
618C2×C4#1427370714yes—
619C2×C4C22×C4×D5911yescharacteristic
620C2×C4C22×C22⋊D5911yescharacteristic
621C2×C4C22×D23611yescharacteristic
622C2×C4C2×Q8×D5911yescharacteristic
623C2×C4C2×#1174568711yescharacteristic
624C2×C4C2×#1174568911yescharacteristic
625C8—1184no—
626C8C2×(C2×D59)⋊C418yescomplemented
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—594no—
634C22—1182no—
635C22—1182no—
636C22—1182no—
637C22—1182no—
638C22—1182no—
639C22—1182no—
640C22—1182no—
641C22—1182no—
642C22—1182no—
643C22—23616no—
644C22—2361no—
645C22—2361no—
646C22—2361no—
647C22—2361no—
648C22#1683725914yes—
649C22C2×C4⋊C4×D5911yescharacteristic
650C22C2×#1427369811yescharacteristic
651C22C2×#1427370211yescharacteristic
652C22AGL(1,ℤ/8)×D5911yescharacteristic
653C22#137×D5911yescharacteristic
654C22#1683819811yescharacteristic
655C22#1683820111yescharacteristic
656C4—82no—
657C4—81no—
658C4—81no—
659C4—1182no—
660C4—1182no—
661C4—4722no—
662C4—4721no—
663C4—4721no—
664C4#1683725914yes—
665C4C22×(C2×D59)⋊C411yescharacteristic
666C4C2×#1427368511yescharacteristic
667C4C2×#1427370311yescharacteristic
668C4C2×#1427370711yescharacteristic
669C2—24no—
670C2—1184no—
671C2—2362no—
672C2C2×#1683725911yescharacteristic
673C2#428×D5911yescharacteristic
674C2#2143268311yescharacteristic
675C2#2143370911yescharacteristic
676C2#2143371611yescharacteristic
677C2#2143372011yescharacteristic
678C2#2143372711yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC2×C59×#428C2
socleC23×C59C22×D4
prime radicalC24×D59D4
cosocleC22×C4×C59C24
hypercenterC2×#428D59
hypocenterC59#20661
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#16837444C2semidirect
5. #21424130C2semidirect
6. #21424126C2semidirect
7. #21424122C2semidirect
8. #21424118C2semidirect
9. #21423817C2semidirect
10. #21423815C2semidirect
11. C2×C59×#428C2semidirect
17. C2×M16×D59C4semidirect
23. C2×#14273661C22semidirect
24. C2×#14273659C22semidirect
38. #16837164C22semidirect
39. #16837164C22semidirect
40. #16837164C22semidirect
41. #16837164C22semidirect
46. C2×#107×C59C22semidirect
47. C2×#106×C59C22semidirect
66. C2×#11745659C2×C4semidirect
71. C2×C8×D59C2×C4semidirect
172. M16×C59C22⋊C4semidirect
285. C8×C59C2×C22⋊C4semidirect
316. C2×D59#428semidirect
332. C2×#428D59semidirect
367. C2×#107C2×D59semidirect
369. C2×#106C2×D59semidirect
387. C59#20661semidirect
514. M16(C2×D59)⋊C4semidirect
626. C8C2×(C2×D59)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×M16×D592
C2×#168374442
#214264752
C2×#168372592
#214241302
#214241262
#214241222
#214241182
#214238172
#214238152
C2×C59×#4282
#2066159