Finite Group Databasebeta

← C59×#18162 #28430271

Subgroups — C59×#18162 #28430271

Order 15104.

1704 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#3490C211yesmaximal, characteristic, complemented
2C59×#3003C212yesmaximal, complemented
3C2×C59×#392C211yesmaximal, characteristic, complemented
4C59×#1600C214yesmaximal, complemented
5C59×#1596C212yesmaximal, complemented
6C59×#1595C212yesmaximal, complemented
7C59×#1504C212yesmaximal, complemented
8C59×#1462C211yesmaximal, characteristic, complemented
9C23×D4×C59—21no—
10C23×D4×C59C2211yescharacteristic, complemented
11C2×AGL(1,ℤ/8)×C59—22no—
12C59×#551—22no—
13C59×#551—22no—
14C59×#546—22no—
15C59×#546—22no—
16C59×#543C2211yescharacteristic, complemented
17C59×#538—21no—
18C59×#538C2212yescomplemented
19C59×#534C2211yescharacteristic, complemented
20C59×#525—21no—
21C59×#525C2212yes—
22C2×#120×C59—21no—
23C59×#518—21no—
24C22×C22⋊C4×C59—21no—
25C22×C22⋊C4×C59C2211yescharacteristic
26C59×#450—22no—
27C59×#450C2214yescomplemented
28C59×#447—22no—
29C59×#447C2214yescomplemented
30C59×#418—22no—
31C59×#407C2212yescomplemented
32C59×#392—21no—
33C59×#392—21no—
34C59×#392C2212yes—
35C59×#392C2212yescomplemented
36C2×#95×C59C2211yescharacteristic, complemented
37C59×#328C2214yescomplemented
38C59×#327C2214yescomplemented
39C59×#323C2212yescomplemented
40C59×#323C2212yescomplemented
41C25×C59—21no—
42C25×C59D411yescharacteristic
43C2×#41×C59—21no—
44C2×#41×C59D412yescomplemented
45C22×D4×C59—21no—
46C22×D4×C59—21no—
47C22×D4×C59—21no—
48C22×D4×C59—22no—
49C22×D4×C59—22no—
50C22×D4×C59—22no—
51C22×D4×C59—22no—
52C22×D4×C59—21no—
53C22×D4×C59—44no—
54C22×D4×C59—44no—
55C22×D4×C59—44no—
56C22×D4×C59—44no—
57C22×D4×C59C2312yes—
58C23×C4×C59—21no—
59C23×C4×C59D411yescharacteristic
60C23×C4×C59C2311yescharacteristic
61AGL(1,ℤ/8)×C59—48no—
62C2×SD16×C59—24no—
63C2×D8×C59—24no—
64C2×M16×C59—22no—
65#126×C59—22no—
66#126×C59—22no—
67#124×C59—22no—
68#124×C59—22no—
69#123×C59—22no—
70#123×C59—22no—
71#123×C59—22no—
72#123×C59—22no—
73#123×C59—22no—
74C22⋊Q8×C59—21no—
75C22⋊Q8×C59—22no—
76C22⋊Q8×C59—21no—
77C22⋊Q8×C59—22no—
78C22⋊Q8×C59D412yescomplemented
79C22⋊Q8×C59C2312yes—
80#121×C59—21no—
81#121×C59—22no—
82#121×C59—22no—
83#121×C59—21no—
84#121×C59D412yescomplemented
85#121×C59C2312yes—
86#120×C59—22no—
87#120×C59—22no—
88#120×C59—22no—
89#120×C59—22no—
90#120×C59—22no—
91C4×D4×C59—22no—
92C4×D4×C59—22no—
93C4×D4×C59—22no—
94C4×D4×C59—22no—
95C4×D4×C59—22no—
96C4×D4×C59—22no—
97#117×C59—22no—
98#117×C59—21no—
99#117×C59D412yescomplemented
100C2×C22⋊C4×C59—22no—
101C2×C22⋊C4×C59—21no—
102C2×C22⋊C4×C59—21no—
103C2×C22⋊C4×C59—21no—
104C2×C22⋊C4×C59—22no—
105C2×C22⋊C4×C59—22no—
106C2×C22⋊C4×C59—22no—
107C2×C22⋊C4×C59—22no—
108C2×C22⋊C4×C59—44no—
109C2×C22⋊C4×C59D411yescharacteristic
110C2×C22⋊C4×C59D411yescharacteristic
111C2×C22⋊C4×C59C2311yescharacteristic
112C2×C22⋊C4×C59C2311yescharacteristic
113#102×C59—24no—
114#102×C59—24no—
115C22⋊C8×C59—22no—
116C22⋊C8×C59C2314yes—
117#95×C59—21no—
118#95×C59C2312yes—
119C24×C59—24no—
120C24×C59—21no—
121C24×C59—22no—
122C24×C59—22no—
123C24×C59—21no—
124C24×C59—21no—
125C24×C59—41no—
126C24×C59—42no—
127C24×C59—42no—
128C24×C59—42no—
129C24×C59—42no—
130C24×C59—42no—
131C24×C59—42no—
132C24×C59—42no—
133C24×C59—41no—
134C24×C59—41no—
135C24×C59C2×D411yescharacteristic
136C24×C59C2×D411yescharacteristic
137C24×C59C2×D411yescharacteristic
138#41×C59—44no—
139#41×C59—82no—
140C2×Q8×C59—21no—
141C2×Q8×C59C2×D412yescomplemented
142C2×D4×C59—28no—
143C2×D4×C59—22no—
144C2×D4×C59—22no—
145C2×D4×C59—22no—
146C2×D4×C59—22no—
147C2×D4×C59—21no—
148C2×D4×C59—22no—
149C2×D4×C59—22no—
150C2×D4×C59—24no—
151C2×D4×C59—44no—
152C2×D4×C59—44no—
153C2×D4×C59—44no—
154C2×D4×C59—44no—
155C2×D4×C59—48no—
156C2×D4×C59—42no—
157C2×D4×C59—44no—
158C2×D4×C59—44no—
159C2×D4×C59—44no—
160C2×D4×C59—44no—
161C2×D4×C59—432no—
162C2×D4×C59—42no—
163C2×D4×C59—44no—
164C2×D4×C59—42no—
165C2×D4×C59—82no—
166C2×D4×C59—82no—
167C2×D4×C59C2×D412yescomplemented
168C22×C4×C59—21no—
169C22×C4×C59—24no—
170C22×C4×C59—21no—
171C22×C4×C59—22no—
172C22×C4×C59—21no—
173C22×C4×C59—21no—
174C22×C4×C59—22no—
175C22×C4×C59—21no—
176C22×C4×C59—22no—
177C22×C4×C59—42no—
178C22×C4×C59—42no—
179C22×C4×C59—42no—
180C22×C4×C59—42no—
181C22×C4×C59C2×D412yes—
182C22×C4×C59C2×D411yescharacteristic
183C22×C4×C59C2×D411yescharacteristic
184C22×C4×C59C2×D411yescharacteristic
185C22×C4×C59C2×D412yes—
186C22×C4×C59C2411yescharacteristic
187SD16×C59—48no—
188D8×C59—48no—
189M16×C59—44no—
190C2×C8×C59—24no—
191C4⋊C4×C59—22no—
192C4⋊C4×C59—21no—
193C4⋊C4×C59—21no—
194C4⋊C4×C59—22no—
195C4⋊C4×C59—22no—
196C4⋊C4×C59—22no—
197C4⋊C4×C59C2×D412yescomplemented
198C4⋊C4×C59C2×D412yescomplemented
199C22⋊C4×C59—22no—
200C22⋊C4×C59—22no—
201C22⋊C4×C59—22no—
202C22⋊C4×C59—22no—
203C22⋊C4×C59—22no—
204C22⋊C4×C59—22no—
205C22⋊C4×C59—22no—
206C22⋊C4×C59—22no—
207C22⋊C4×C59—22no—
208C22⋊C4×C59—22no—
209C22⋊C4×C59—22no—
210C22⋊C4×C59—22no—
211C22⋊C4×C59—22no—
212C22⋊C4×C59—22no—
213C22⋊C4×C59—44no—
214C22⋊C4×C59—44no—
215C42×C59—22no—
216C42×C59—22no—
217C23×C59—21no—
218C23×C59—21no—
219C23×C59—22no—
220C23×C59—22no—
221C23×C59—21no—
222C23×C59—21no—
223C23×C59—24no—
224C23×C59—21no—
225C23×C59—22no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—42no—
229C23×C59—42no—
230C23×C59—41no—
231C23×C59—41no—
232C23×C59—41no—
233C23×C59—41no—
234C23×C59—42no—
235C23×C59—48no—
236C23×C59—48no—
237C23×C59—42no—
238C23×C59—42no—
239C23×C59—44no—
240C23×C59—48no—
241C23×C59—42no—
242C23×C59—42no—
243C23×C59—42no—
244C23×C59—42no—
245C23×C59—42no—
246C23×C59—44no—
247C23×C59—42no—
248C23×C59—81no—
249C23×C59—81no—
250C23×C59—84no—
251C23×C59—84no—
252C23×C59—84no—
253C23×C59—82no—
254C23×C59—82no—
255C23×C59—82no—
256C23×C59—81no—
257C23×C59—81no—
258C23×C59—82no—
259C23×C59#12011yescharacteristic
260C23×C59#12011yescharacteristic
261C23×C59AGL(1,ℤ/8)12yescomplemented
262C23×C59C22×D411yescharacteristic
263Q8×C59—42no—
264Q8×C59—81no—
265D4×C59—28no—
266D4×C59—42no—
267D4×C59—44no—
268D4×C59—48no—
269D4×C59—44no—
270D4×C59—416no—
271D4×C59—416no—
272D4×C59—42no—
273D4×C59—42no—
274D4×C59—44no—
275D4×C59—44no—
276D4×C59—82no—
277D4×C59—82no—
278D4×C59—81no—
279C2×C4×C59—24no—
280C2×C4×C59—24no—
281C2×C4×C59—22no—
282C2×C4×C59—21no—
283C2×C4×C59—22no—
284C2×C4×C59—22no—
285C2×C4×C59—21no—
286C2×C4×C59—42no—
287C2×C4×C59—41no—
288C2×C4×C59—41no—
289C2×C4×C59—48no—
290C2×C4×C59—42no—
291C2×C4×C59—42no—
292C2×C4×C59—42no—
293C2×C4×C59—42no—
294C2×C4×C59—41no—
295C2×C4×C59—41no—
296C2×C4×C59—82no—
297C2×C4×C59—81no—
298C2×C4×C59—81no—
299C2×C4×C59—81no—
300C2×C4×C59—82no—
301C2×C4×C59#12012yes—
302C2×C4×C59C22×D412yes—
303C8×C59—44no—
304#18162C5911yesmaximal, characteristic, direct product factor, Sylow
305C22×C59—24no—
306C22×C59—24no—
307C22×C59—21no—
308C22×C59—21no—
309C22×C59—21no—
310C22×C59—21no—
311C22×C59—21no—
312C22×C59—21no—
313C22×C59—22no—
314C22×C59—42no—
315C22×C59—42no—
316C22×C59—44no—
317C22×C59—44no—
318C22×C59—41no—
319C22×C59—41no—
320C22×C59—42no—
321C22×C59—41no—
322C22×C59—42no—
323C22×C59—41no—
324C22×C59—42no—
325C22×C59—44no—
326C22×C59—41no—
327C22×C59—81no—
328C22×C59—84no—
329C22×C59—84no—
330C22×C59—81no—
331C22×C59—82no—
332C22×C59—82no—
333C22×C59—88no—
334C22×C59—88no—
335C22×C59—82no—
336C22×C59—82no—
337C22×C59—162no—
338C22×C59#45312yes—
339C22×C59B(4,𝔽2)12yes—
340C22×C59C2×#12011yescharacteristic
341C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
342C22×C59#57511yescharacteristic
343C4×C59—22no—
344C4×C59—22no—
345C4×C59—44no—
346C4×C59—42no—
347C4×C59—41no—
348C4×C59—41no—
349C4×C59—42no—
350C4×C59—42no—
351#3490C2×C5911yescharacteristic, complemented
352#3003C2×C5912yescomplemented
353C2×#392C2×C5911yescharacteristic, complemented
354#1600C2×C5914yescomplemented
355#1596C2×C5912yescomplemented
356#1595C2×C5912yescomplemented
357#1504C2×C5912yescomplemented
358#1462C2×C5911yescharacteristic, complemented
359C2×C59—21no—
360C2×C59—21no—
361C2×C59—22no—
362C2×C59—22no—
363C2×C59—42no—
364C2×C59—81no—
365C2×C59—84no—
366C2×C59—82no—
367C2×C59#300611yescharacteristic
368C2×C59C2×#45311yescharacteristic
369C2×C59C2×B(4,𝔽2)11yescharacteristic
370C23×D4—21no—
371C23×D4C22×C5911yescharacteristic, complemented
372C2×AGL(1,ℤ/8)—22no—
373#551—22no—
374#551—22no—
375#546—22no—
376#546—22no—
377#543C22×C5911yescharacteristic, complemented
378#538—21no—
379#538C22×C5912yescomplemented
380#534C22×C5911yescharacteristic, complemented
381#525—21no—
382#525C22×C5912yes—
383C2×#120—21no—
384#518—21no—
385C22×C22⋊C4—21no—
386C22×C22⋊C4C22×C5911yescharacteristic
387#450—22no—
388#450C22×C5914yescomplemented
389#447—22no—
390#447C22×C5914yescomplemented
391#418—22no—
392#407C22×C5912yescomplemented
393#392—21no—
394#392—21no—
395#392C22×C5912yes—
396#392C22×C5912yescomplemented
397C2×#95C22×C5911yescharacteristic, complemented
398#328C22×C5914yescomplemented
399#327C22×C5914yescomplemented
400#323C22×C5912yescomplemented
401#323C22×C5912yescomplemented
402C59#1816211yescharacteristic, direct product factor, Sylow
403C25—21no—
404C25D4×C5911yescharacteristic
405C2×#41—21no—
406C2×#41D4×C5912yescomplemented
407C22×D4—21no—
408C22×D4—21no—
409C22×D4—21no—
410C22×D4—22no—
411C22×D4—22no—
412C22×D4—22no—
413C22×D4—22no—
414C22×D4—21no—
415C22×D4—44no—
416C22×D4—44no—
417C22×D4—44no—
418C22×D4—44no—
419C22×D4C23×C5912yes—
420C23×C4—21no—
421C23×C4D4×C5911yescharacteristic
422C23×C4C23×C5911yescharacteristic
423AGL(1,ℤ/8)—48no—
424C2×SD16—24no—
425C2×D8—24no—
426C2×M16—22no—
427#126—22no—
428#126—22no—
429#124—22no—
430#124—22no—
431#123—22no—
432#123—22no—
433#123—22no—
434#123—22no—
435#123—22no—
436C22⋊Q8—21no—
437C22⋊Q8—22no—
438C22⋊Q8—21no—
439C22⋊Q8—22no—
440C22⋊Q8D4×C5912yescomplemented
441C22⋊Q8C23×C5912yes—
442#121—21no—
443#121—22no—
444#121—22no—
445#121—21no—
446#121D4×C5912yescomplemented
447#121C23×C5912yes—
448#120—22no—
449#120—22no—
450#120—22no—
451#120—22no—
452#120—22no—
453C4×D4—22no—
454C4×D4—22no—
455C4×D4—22no—
456C4×D4—22no—
457C4×D4—22no—
458C4×D4—22no—
459#117—22no—
460#117—21no—
461#117D4×C5912yescomplemented
462C2×C22⋊C4—22no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—22no—
467C2×C22⋊C4—22no—
468C2×C22⋊C4—22no—
469C2×C22⋊C4—22no—
470C2×C22⋊C4—44no—
471C2×C22⋊C4D4×C5911yescharacteristic
472C2×C22⋊C4D4×C5911yescharacteristic
473C2×C22⋊C4C23×C5911yescharacteristic
474C2×C22⋊C4C23×C5911yescharacteristic
475#102—24no—
476#102—24no—
477C22⋊C8—22no—
478C22⋊C8C23×C5914yes—
479#95—21no—
480#95C23×C5912yes—
481C24—24no—
482C24—21no—
483C24—22no—
484C24—22no—
485C24—21no—
486C24—21no—
487C24—41no—
488C24—42no—
489C24—42no—
490C24—42no—
491C24—42no—
492C24—42no—
493C24—42no—
494C24—42no—
495C24—41no—
496C24—41no—
497C24C2×D4×C5911yescharacteristic
498C24C2×D4×C5911yescharacteristic
499C24C2×D4×C5911yescharacteristic
500#41—44no—
501#41—82no—
502C2×Q8—21no—
503C2×Q8C2×D4×C5912yescomplemented
504C2×D4—28no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—21no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—24no—
513C2×D4—44no—
514C2×D4—44no—
515C2×D4—44no—
516C2×D4—44no—
517C2×D4—48no—
518C2×D4—44no—
519C2×D4—44no—
520C2×D4—44no—
521C2×D4—44no—
522C2×D4—42no—
523C2×D4—432no—
524C2×D4—44no—
525C2×D4—42no—
526C2×D4—42no—
527C2×D4—82no—
528C2×D4—82no—
529C2×D4C2×D4×C5912yescomplemented
530C22×C4—21no—
531C22×C4—24no—
532C22×C4—21no—
533C22×C4—22no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—22no—
537C22×C4—21no—
538C22×C4—22no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4C2×D4×C5912yes—
544C22×C4C2×D4×C5911yescharacteristic
545C22×C4C2×D4×C5911yescharacteristic
546C22×C4C2×D4×C5911yescharacteristic
547C22×C4C2×D4×C5912yes—
548C22×C4C24×C5911yescharacteristic
549SD16—48no—
550D8—48no—
551M16—44no—
552C2×C8—24no—
553C4⋊C4—22no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4C2×D4×C5912yescomplemented
560C4⋊C4C2×D4×C5912yescomplemented
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C42—22no—
578C42—22no—
579C23—22no—
580C23—22no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—24no—
586C23—21no—
587C23—22no—
588C23—21no—
589C23—21no—
590C23—42no—
591C23—42no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—42no—
597C23—48no—
598C23—48no—
599C23—42no—
600C23—42no—
601C23—44no—
602C23—48no—
603C23—42no—
604C23—42no—
605C23—44no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—81no—
611C23—81no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23—82no—
616C23—82no—
617C23—82no—
618C23—81no—
619C23—81no—
620C23—82no—
621C23#120×C5911yescharacteristic
622C23#120×C5911yescharacteristic
623C23AGL(1,ℤ/8)×C5912yescomplemented
624C23C22×D4×C5911yescharacteristic
625Q8—42no—
626Q8—81no—
627D4—28no—
628D4—42no—
629D4—44no—
630D4—48no—
631D4—44no—
632D4—416no—
633D4—416no—
634D4—44no—
635D4—44no—
636D4—42no—
637D4—42no—
638D4—82no—
639D4—82no—
640D4—81no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—42no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—48no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—82no—
659C2×C4—81no—
660C2×C4—81no—
661C2×C4—81no—
662C2×C4—82no—
663C2×C4#120×C5912yes—
664C2×C4C22×D4×C5912yes—
665C8—44no—
666C22—24no—
667C22—24no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—22no—
675C22—42no—
676C22—42no—
677C22—44no—
678C22—44no—
679C22—41no—
680C22—41no—
681C22—42no—
682C22—41no—
683C22—42no—
684C22—41no—
685C22—42no—
686C22—44no—
687C22—41no—
688C22—81no—
689C22—84no—
690C22—84no—
691C22—81no—
692C22—82no—
693C22—82no—
694C22—88no—
695C22—88no—
696C22—82no—
697C22—82no—
698C22—162no—
699C22C59×#45312yes—
700C22C59×B(4,𝔽2)12yes—
701C22C2×#120×C5911yescharacteristic
702C22C2×AGL(1,ℤ/8)×C5911yescharacteristic
703C22C59×#57511yescharacteristic
704C4—22no—
705C4—22no—
706C4—44no—
707C4—42no—
708C4—41no—
709C4—41no—
710C4—42no—
711C4—42no—
712C2—21no—
713C2—21no—
714C2—22no—
715C2—22no—
716C2—42no—
717C2—81no—
718C2—84no—
719C2—82no—
720C2C59×#300611yescharacteristic
721C2C2×C59×#45311yescharacteristic
722C2C2×C59×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C59C2×#120
commutator, Frattini, cosocleC22×C4C24×C59
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C59 ◁ C23×C4×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#3490C2semidirect
2. C59×#3003C2semidirect
3. C2×C59×#392C2semidirect
4. C59×#1600C2semidirect
5. C59×#1596C2semidirect
6. C59×#1595C2semidirect
7. C59×#1504C2semidirect
8. C59×#1462C2semidirect
10. C23×D4×C59C22semidirect
16. C59×#543C22semidirect
18. C59×#538C22semidirect
19. C59×#534C22semidirect
27. C59×#450C22semidirect
29. C59×#447C22semidirect
31. C59×#407C22semidirect
35. C59×#392C22semidirect
36. C2×#95×C59C22semidirect
37. C59×#328C22semidirect
38. C59×#327C22semidirect
39. C59×#323C22semidirect
40. C59×#323C22semidirect
44. C2×#41×C59D4semidirect
78. C22⋊Q8×C59D4semidirect
84. #121×C59D4semidirect
99. #117×C59D4semidirect
141. C2×Q8×C59C2×D4semidirect
167. C2×D4×C59C2×D4semidirect
197. C4⋊C4×C59C2×D4semidirect
198. C4⋊C4×C59C2×D4semidirect
261. C23×C59AGL(1,ℤ/8)semidirect
304. #18162C59direct (N × H)
351. #3490C2×C59semidirect
352. #3003C2×C59semidirect
353. C2×#392C2×C59semidirect
354. #1600C2×C59semidirect
355. #1596C2×C59semidirect
356. #1595C2×C59semidirect
357. #1504C2×C59semidirect
358. #1462C2×C59semidirect
371. C23×D4C22×C59semidirect
377. #543C22×C59semidirect
379. #538C22×C59semidirect
380. #534C22×C59semidirect
388. #450C22×C59semidirect
390. #447C22×C59semidirect
392. #407C22×C59semidirect
396. #392C22×C59semidirect
397. C2×#95C22×C59semidirect
398. #328C22×C59semidirect
399. #327C22×C59semidirect
400. #323C22×C59semidirect
401. #323C22×C59semidirect
402. C59#18162direct (N × H)
406. C2×#41D4×C59semidirect
440. C22⋊Q8D4×C59semidirect
446. #121D4×C59semidirect
461. #117D4×C59semidirect
503. C2×Q8C2×D4×C59semidirect
529. C2×D4C2×D4×C59semidirect
559. C4⋊C4C2×D4×C59semidirect
560. C4⋊C4C2×D4×C59semidirect
623. C23AGL(1,ℤ/8)×C59semidirect

Maximal subgroups

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

subgroupindex
C59×#34902
C59×#30032
C2×C59×#3922
C59×#16002
C59×#15962
C59×#15952
C59×#15042
C59×#14622
#1816259