Finite Group Databasebeta

← C59×#18418 #28430527

Subgroups — C59×#18418 #28430527

Order 15104.

1176 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#3537C211yesmaximal, characteristic, complemented
2C59×#3192C211yesmaximal, characteristic, complemented
3C59×#3188C211yesmaximal, characteristic, complemented
4C59×#2656C211yesmaximal, characteristic, complemented
5C59×#1618C212yesmaximal, complemented
6C59×#1613C212yesmaximal, complemented
7C59×#1600C212yesmaximal, complemented
8C59×#1595C212yesmaximal, complemented
9C59×#1504C211yesmaximal, characteristic, complemented
10C2×C59×#327C211yesmaximal, characteristic, complemented
11C59×#1471C211yesmaximal, characteristic, complemented
12C59×#560—22no—
13C59×#553—21no—
14C59×#553—21no—
15D42×C59—22no—
16D42×C59—21no—
17D42×C59—21no—
18C59×#540—21no—
19C59×#538—21no—
20C59×#538C2212yes—
21C59×#535—21no—
22C59×#534—21no—
23C59×#534C2212yes—
24C59×#525C2211yescharacteristic
25C2×#121×C59—22no—
26C2×#121×C59C2211yescharacteristic
27C2×#121×C59C2211yescharacteristic
28C2×#121×C59C2211yescharacteristic, complemented
29C59×#484C2211yescharacteristic, complemented
30C59×#482—21no—
31C59×#481—21no—
32C59×#481C2211yescharacteristic, complemented
33C59×#481C2212yescomplemented
34C59×#469—22no—
35C59×#466—21no—
36C59×#465—21no—
37C59×#450C2211yescharacteristic, complemented
38C59×#449—21no—
39C59×#447—21no—
40C59×#447C2211yescharacteristic, complemented
41C59×#447C2212yescomplemented
42C59×#407C2211yescharacteristic, complemented
43C2×C22⋊C8×C59C2211yescharacteristic, complemented
44C59×#399—21no—
45C59×#399C2212yescomplemented
46C59×#392—21no—
47C59×#392C2212yescomplemented
48C2×#95×C59C2211yescharacteristic, complemented
49C59×#328C2212yescomplemented
50C59×#327C2212yescomplemented
51C59×#327C2212yescomplemented
52C59×#327C2212yescomplemented
53C59×#323C2212yescomplemented
54C59×#323C2212yescomplemented
55C2×#41×C59D411yescharacteristic, complemented
56C22×D4×C59—22no—
57C22×D4×C59—21no—
58C22×D4×C59—21no—
59C22×D4×C59—22no—
60C22×D4×C59—21no—
61C22×D4×C59—22no—
62C22×D4×C59D412yes—
63C22×D4×C59D411yescharacteristic
64C22×D4×C59D411yescharacteristic, complemented
65C22×D4×C59C2311yescharacteristic
66C23×C4×C59—21no—
67C23×C4×C59C2311yescharacteristic
68C2×SD16×C59—21no—
69C2×D8×C59—22no—
70C2×D8×C59—21no—
71C2×M16×C59—21no—
72C22×C8×C59—21no—
73#127×C59—22no—
74#127×C59—21no—
75#126×C59—22no—
76#126×C59—22no—
77#125×C59—21no—
78#124×C59—22no—
79#123×C59—22no—
80#123×C59—21no—
81#123×C59—22no—
82#123×C59—22no—
83#123×C59—22no—
84C22⋊Q8×C59D411yescharacteristic, complemented
85C22⋊Q8×C59C2311yescharacteristic
86#121×C59—22no—
87#121×C59—21no—
88#121×C59—21no—
89#121×C59—22no—
90#121×C59—22no—
91#121×C59—22no—
92#121×C59—22no—
93#121×C59—21no—
94#121×C59—21no—
95#121×C59—21no—
96#121×C59—21no—
97#121×C59—21no—
98#121×C59—21no—
99#121×C59—22no—
100#121×C59—21no—
101#121×C59—21no—
102#121×C59—21no—
103#121×C59—21no—
104#121×C59—48no—
105#121×C59D411yescharacteristic, complemented
106#121×C59D412yescomplemented
107#121×C59C2312yes—
108#121×C59C2311yescharacteristic
109#120×C59—22no—
110#120×C59—22no—
111#120×C59—22no—
112#120×C59—21no—
113#120×C59—22no—
114#120×C59—22no—
115#120×C59—22no—
116C4×D4×C59—22no—
117C4×D4×C59—21no—
118C4×D4×C59—21no—
119C4×D4×C59—21no—
120C4×D4×C59—21no—
121C4×D4×C59—22no—
122#117×C59—21no—
123#117×C59D411yescharacteristic, complemented
124C2×C4⋊C4×C59—22no—
125C2×C4⋊C4×C59D411yescharacteristic
126C2×C4⋊C4×C59D411yescharacteristic, complemented
127C2×C4⋊C4×C59C2311yescharacteristic
128C2×C22⋊C4×C59—21no—
129C2×C22⋊C4×C59—22no—
130C2×C22⋊C4×C59—21no—
131C2×C22⋊C4×C59—22no—
132C2×C22⋊C4×C59C2312yes—
133#107×C59—21no—
134#106×C59—21no—
135#106×C59—22no—
136#103×C59—21no—
137#102×C59—22no—
138#102×C59—21no—
139#102×C59—21no—
140#102×C59—22no—
141#102×C59—21no—
142C22⋊C8×C59—21no—
143C22⋊C8×C59—21no—
144C22⋊C8×C59C2311yescharacteristic
145C22⋊C8×C59C2311yescharacteristic
146C22⋊C8×C59C2312yes—
147#95×C59—21no—
148#95×C59C2312yes—
149C24×C59—22no—
150C24×C59—21no—
151C24×C59—21no—
152C24×C59C2×D411yescharacteristic
153C24×C59C2×D412yes—
154#41×C59—81no—
155C2×Q8×C59C2×D411yescharacteristic
156C2×D4×C59—22no—
157C2×D4×C59—21no—
158C2×D4×C59—21no—
159C2×D4×C59—22no—
160C2×D4×C59—22no—
161C2×D4×C59—22no—
162C2×D4×C59—22no—
163C2×D4×C59—22no—
164C2×D4×C59—22no—
165C2×D4×C59—21no—
166C2×D4×C59—22no—
167C2×D4×C59—22no—
168C2×D4×C59—21no—
169C2×D4×C59—21no—
170C2×D4×C59—21no—
171C2×D4×C59—21no—
172C2×D4×C59—21no—
173C2×D4×C59—44no—
174C2×D4×C59—44no—
175C2×D4×C59—44no—
176C2×D4×C59—41no—
177C2×D4×C59—41no—
178C2×D4×C59—81no—
179C2×D4×C59—81no—
180C2×D4×C59—82no—
181C2×D4×C59—81no—
182C2×D4×C59—82no—
183C2×D4×C59—82no—
184C2×D4×C59—81no—
185C2×D4×C59—81no—
186C2×D4×C59—82no—
187C2×D4×C59—82no—
188C2×D4×C59—84no—
189C2×D4×C59C2×D411yescharacteristic
190C2×D4×C59C2×D412yes—
191C22×C4×C59—22no—
192C22×C4×C59—22no—
193C22×C4×C59—22no—
194C22×C4×C59—24no—
195C22×C4×C59—21no—
196C22×C4×C59—21no—
197C22×C4×C59—21no—
198C22×C4×C59—81no—
199C22×C4×C59—81no—
200C22×C4×C59—81no—
201C22×C4×C59C2×D412yes—
202C22×C4×C59C2×D411yescharacteristic
203C22×C4×C59C2×D411yescharacteristic
204C22×C4×C59C2×D411yescharacteristic
205C22×C4×C59C2×D411yescharacteristic
206C22×C4×C59C2×D411yescharacteristic
207C22×C4×C59C2411yescharacteristic
208SD16×C59—81no—
209D8×C59—81no—
210D8×C59—82no—
211M16×C59—81no—
212C2×C8×C59—21no—
213C2×C8×C59—22no—
214C2×C8×C59—21no—
215C2×C8×C59—81no—
216C4⋊C4×C59—22no—
217C4⋊C4×C59—22no—
218C4⋊C4×C59—21no—
219C4⋊C4×C59—21no—
220C4⋊C4×C59—21no—
221C4⋊C4×C59—21no—
222C4⋊C4×C59—21no—
223C4⋊C4×C59—21no—
224C4⋊C4×C59—21no—
225C4⋊C4×C59—44no—
226C4⋊C4×C59C2×D412yes—
227C4⋊C4×C59C2×D411yescharacteristic
228C4⋊C4×C59C2×D411yescharacteristic
229C22⋊C4×C59—22no—
230C22⋊C4×C59—22no—
231C22⋊C4×C59—22no—
232C22⋊C4×C59—22no—
233C22⋊C4×C59—22no—
234C22⋊C4×C59—21no—
235C22⋊C4×C59—21no—
236C22⋊C4×C59—21no—
237C22⋊C4×C59—22no—
238C22⋊C4×C59—21no—
239C22⋊C4×C59—22no—
240C22⋊C4×C59—22no—
241C22⋊C4×C59—22no—
242C22⋊C4×C59—21no—
243C22⋊C4×C59—44no—
244C22⋊C4×C59—44no—
245C22⋊C4×C59—41no—
246C22⋊C4×C59—41no—
247C42×C59—22no—
248C42×C59—21no—
249C23×C59—21no—
250C23×C59—21no—
251C23×C59—22no—
252C23×C59—22no—
253C23×C59—22no—
254C23×C59—21no—
255C23×C59—22no—
256C23×C59—22no—
257C23×C59—41no—
258C23×C59—42no—
259C23×C59—42no—
260C23×C59—42no—
261C23×C59—42no—
262C23×C59—42no—
263C23×C59—41no—
264C23×C59—41no—
265C23×C59—41no—
266C23×C59—81no—
267C23×C59—81no—
268C23×C59—82no—
269C23×C59—82no—
270C23×C59—82no—
271C23×C59#12011yescharacteristic
272C23×C59#12011yescharacteristic
273C23×C59C22×D411yescharacteristic
274Q8×C59—41no—
275D4×C59—42no—
276D4×C59—41no—
277D4×C59—42no—
278D4×C59—42no—
279D4×C59—42no—
280D4×C59—41no—
281D4×C59—41no—
282D4×C59—42no—
283D4×C59—41no—
284D4×C59—42no—
285D4×C59—41no—
286D4×C59—44no—
287D4×C59—42no—
288D4×C59—81no—
289D4×C59—82no—
290D4×C59—82no—
291D4×C59—81no—
292D4×C59—82no—
293D4×C59—82no—
294D4×C59—82no—
295D4×C59—82no—
296D4×C59—82no—
297D4×C59—88no—
298D4×C59—82no—
299D4×C59—82no—
300C2×C4×C59—24no—
301C2×C4×C59—21no—
302C2×C4×C59—22no—
303C2×C4×C59—22no—
304C2×C4×C59—21no—
305C2×C4×C59—21no—
306C2×C4×C59—41no—
307C2×C4×C59—41no—
308C2×C4×C59—41no—
309C2×C4×C59—41no—
310C2×C4×C59—41no—
311C2×C4×C59—41no—
312C2×C4×C59—42no—
313C2×C4×C59—42no—
314C2×C4×C59—42no—
315C2×C4×C59—42no—
316C2×C4×C59—42no—
317C2×C4×C59—41no—
318C2×C4×C59—81no—
319C2×C4×C59—84no—
320C2×C4×C59—82no—
321C2×C4×C59—82no—
322C2×C4×C59#12011yescharacteristic
323C2×C4×C59#12011yescharacteristic
324C2×C4×C59C22×D411yescharacteristic
325C2×C4×C59C22×D411yescharacteristic
326C8×C59—41no—
327C8×C59—41no—
328C8×C59—42no—
329#18418C5911yesmaximal, characteristic, direct product factor, Sylow
330C22×C59—21no—
331C22×C59—21no—
332C22×C59—21no—
333C22×C59—21no—
334C22×C59—21no—
335C22×C59—21no—
336C22×C59—21no—
337C22×C59—42no—
338C22×C59—42no—
339C22×C59—42no—
340C22×C59—42no—
341C22×C59—41no—
342C22×C59—42no—
343C22×C59—42no—
344C22×C59—41no—
345C22×C59—41no—
346C22×C59—42no—
347C22×C59—42no—
348C22×C59—82no—
349C22×C59—82no—
350C22×C59—82no—
351C22×C59—82no—
352C22×C59—81no—
353C22×C59—81no—
354C22×C59—81no—
355C22×C59—162no—
356C22×C59—164no—
357C22×C59#45312yes—
358C22×C59C2×#12011yescharacteristic
359C22×C59#57611yescharacteristic
360C22×C59#57711yescharacteristic
361C4×C59—21no—
362C4×C59—21no—
363C4×C59—21no—
364C4×C59—21no—
365C4×C59—44no—
366C4×C59—42no—
367C4×C59—41no—
368C4×C59—42no—
369C4×C59—41no—
370C4×C59—41no—
371C4×C59—81no—
372#3537C2×C5911yescharacteristic, complemented
373#3192C2×C5911yescharacteristic, complemented
374#3188C2×C5911yescharacteristic, complemented
375#2656C2×C5911yescharacteristic, complemented
376#1618C2×C5912yescomplemented
377#1613C2×C5912yescomplemented
378#1600C2×C5912yescomplemented
379#1595C2×C5912yescomplemented
380#1504C2×C5911yescharacteristic, complemented
381C2×#327C2×C5911yescharacteristic, complemented
382#1471C2×C5911yescharacteristic, complemented
383C2×C59—21no—
384C2×C59—21no—
385C2×C59—22no—
386C2×C59—41no—
387C2×C59—82no—
388C2×C59—82no—
389C2×C59—81no—
390C2×C59—161no—
391C2×C59#301211yescharacteristic
392C2×C59C2×#45311yescharacteristic
393C2×C59#302611yescharacteristic
394#560—22no—
395#553—21no—
396#553—21no—
397D42—22no—
398D42—21no—
399D42—21no—
400#540—21no—
401#538—21no—
402#538C22×C5912yes—
403#535—21no—
404#534—21no—
405#534C22×C5912yes—
406#525C22×C5911yescharacteristic
407C2×#121—22no—
408C2×#121C22×C5911yescharacteristic
409C2×#121C22×C5911yescharacteristic
410C2×#121C22×C5911yescharacteristic, complemented
411#484C22×C5911yescharacteristic, complemented
412#482—21no—
413#481—21no—
414#481C22×C5911yescharacteristic, complemented
415#481C22×C5912yescomplemented
416#469—22no—
417#466—21no—
418#465—21no—
419#450C22×C5911yescharacteristic, complemented
420#449—21no—
421#447—21no—
422#447C22×C5911yescharacteristic, complemented
423#447C22×C5912yescomplemented
424#407C22×C5911yescharacteristic, complemented
425C2×C22⋊C8C22×C5911yescharacteristic, complemented
426#399—21no—
427#399C22×C5912yescomplemented
428#392—21no—
429#392C22×C5912yescomplemented
430C2×#95C22×C5911yescharacteristic, complemented
431#328C22×C5912yescomplemented
432#327C22×C5912yescomplemented
433#327C22×C5912yescomplemented
434#327C22×C5912yescomplemented
435#323C22×C5912yescomplemented
436#323C22×C5912yescomplemented
437C59#1841811yescharacteristic, direct product factor, Sylow
438C2×#41D4×C5911yescharacteristic, complemented
439C22×D4—22no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4—22no—
443C22×D4—21no—
444C22×D4—22no—
445C22×D4D4×C5912yes—
446C22×D4D4×C5911yescharacteristic
447C22×D4D4×C5911yescharacteristic, complemented
448C22×D4C23×C5911yescharacteristic
449C23×C4—21no—
450C23×C4C23×C5911yescharacteristic
451C2×SD16—21no—
452C2×D8—22no—
453C2×D8—21no—
454C2×M16—21no—
455C22×C8—21no—
456#127—22no—
457#127—21no—
458#126—22no—
459#126—22no—
460#125—21no—
461#124—22no—
462#123—22no—
463#123—21no—
464#123—22no—
465#123—22no—
466#123—22no—
467C22⋊Q8D4×C5911yescharacteristic, complemented
468C22⋊Q8C23×C5911yescharacteristic
469#121—22no—
470#121—21no—
471#121—21no—
472#121—22no—
473#121—22no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—21no—
478#121—21no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—22no—
483#121—21no—
484#121—21no—
485#121—21no—
486#121—21no—
487#121—48no—
488#121D4×C5912yescomplemented
489#121D4×C5911yescharacteristic, complemented
490#121C23×C5912yes—
491#121C23×C5911yescharacteristic
492#120—22no—
493#120—22no—
494#120—22no—
495#120—21no—
496#120—22no—
497#120—22no—
498#120—22no—
499C4×D4—22no—
500C4×D4—21no—
501C4×D4—21no—
502C4×D4—21no—
503C4×D4—21no—
504C4×D4—22no—
505#117—21no—
506#117D4×C5911yescharacteristic, complemented
507C2×C4⋊C4—22no—
508C2×C4⋊C4D4×C5911yescharacteristic
509C2×C4⋊C4D4×C5911yescharacteristic, complemented
510C2×C4⋊C4C23×C5911yescharacteristic
511C2×C22⋊C4—21no—
512C2×C22⋊C4—22no—
513C2×C22⋊C4—22no—
514C2×C22⋊C4—21no—
515C2×C22⋊C4C23×C5912yes—
516#107—21no—
517#106—21no—
518#106—22no—
519#103—21no—
520#102—22no—
521#102—21no—
522#102—21no—
523#102—22no—
524#102—21no—
525C22⋊C8—21no—
526C22⋊C8—21no—
527C22⋊C8C23×C5911yescharacteristic
528C22⋊C8C23×C5911yescharacteristic
529C22⋊C8C23×C5912yes—
530#95—21no—
531#95C23×C5912yes—
532C24—22no—
533C24—21no—
534C24—21no—
535C24C2×D4×C5911yescharacteristic
536C24C2×D4×C5912yes—
537#41—81no—
538C2×Q8C2×D4×C5911yescharacteristic
539C2×D4—22no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—22no—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—44no—
557C2×D4—44no—
558C2×D4—44no—
559C2×D4—41no—
560C2×D4—41no—
561C2×D4—81no—
562C2×D4—81no—
563C2×D4—82no—
564C2×D4—81no—
565C2×D4—82no—
566C2×D4—82no—
567C2×D4—81no—
568C2×D4—81no—
569C2×D4—82no—
570C2×D4—82no—
571C2×D4—84no—
572C2×D4C2×D4×C5911yescharacteristic
573C2×D4C2×D4×C5912yes—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—24no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—81no—
582C22×C4—81no—
583C22×C4—81no—
584C22×C4C2×D4×C5912yes—
585C22×C4C2×D4×C5911yescharacteristic
586C22×C4C2×D4×C5911yescharacteristic
587C22×C4C2×D4×C5911yescharacteristic
588C22×C4C2×D4×C5911yescharacteristic
589C22×C4C2×D4×C5911yescharacteristic
590C22×C4C24×C5911yescharacteristic
591SD16—81no—
592D8—81no—
593D8—82no—
594M16—81no—
595C2×C8—21no—
596C2×C8—22no—
597C2×C8—21no—
598C2×C8—81no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C4⋊C4—44no—
609C4⋊C4C2×D4×C5912yes—
610C4⋊C4C2×D4×C5911yescharacteristic
611C4⋊C4C2×D4×C5911yescharacteristic
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—21no—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—22no—
625C22⋊C4—21no—
626C22⋊C4—44no—
627C22⋊C4—44no—
628C22⋊C4—41no—
629C22⋊C4—41no—
630C42—22no—
631C42—21no—
632C23—22no—
633C23—21no—
634C23—21no—
635C23—22no—
636C23—22no—
637C23—21no—
638C23—22no—
639C23—22no—
640C23—41no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—41no—
647C23—41no—
648C23—41no—
649C23—81no—
650C23—81no—
651C23—82no—
652C23—82no—
653C23—82no—
654C23#120×C5911yescharacteristic
655C23#120×C5911yescharacteristic
656C23C22×D4×C5911yescharacteristic
657Q8—41no—
658D4—42no—
659D4—41no—
660D4—42no—
661D4—42no—
662D4—42no—
663D4—41no—
664D4—41no—
665D4—44no—
666D4—42no—
667D4—42no—
668D4—41no—
669D4—42no—
670D4—41no—
671D4—81no—
672D4—82no—
673D4—82no—
674D4—81no—
675D4—82no—
676D4—82no—
677D4—82no—
678D4—82no—
679D4—82no—
680D4—88no—
681D4—82no—
682D4—82no—
683C2×C4—24no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—41no—
701C2×C4—81no—
702C2×C4—84no—
703C2×C4—82no—
704C2×C4—82no—
705C2×C4#120×C5911yescharacteristic
706C2×C4#120×C5911yescharacteristic
707C2×C4C22×D4×C5911yescharacteristic
708C2×C4C22×D4×C5911yescharacteristic
709C8—41no—
710C8—41no—
711C8—42no—
712C22—21no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—21no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—42no—
726C22—41no—
727C22—41no—
728C22—42no—
729C22—42no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—81no—
735C22—81no—
736C22—81no—
737C22—162no—
738C22—164no—
739C22C59×#45312yes—
740C22C2×#120×C5911yescharacteristic
741C22C59×#57611yescharacteristic
742C22C59×#57711yescharacteristic
743C4—21no—
744C4—21no—
745C4—21no—
746C4—21no—
747C4—44no—
748C4—42no—
749C4—41no—
750C4—42no—
751C4—41no—
752C4—41no—
753C4—81no—
754C2—21no—
755C2—21no—
756C2—22no—
757C2—41no—
758C2—82no—
759C2—82no—
760C2—81no—
761C2—161no—
762C2C59×#301211yescharacteristic
763C2C2×C59×#45311yescharacteristic
764C2C59×#302611yescharacteristic
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×#3537C2semidirect
2. C59×#3192C2semidirect
3. C59×#3188C2semidirect
4. C59×#2656C2semidirect
5. C59×#1618C2semidirect
6. C59×#1613C2semidirect
7. C59×#1600C2semidirect
8. C59×#1595C2semidirect
9. C59×#1504C2semidirect
10. C2×C59×#327C2semidirect
11. C59×#1471C2semidirect
28. C2×#121×C59C22semidirect
29. C59×#484C22semidirect
32. C59×#481C22semidirect
33. C59×#481C22semidirect
37. C59×#450C22semidirect
40. C59×#447C22semidirect
41. C59×#447C22semidirect
42. C59×#407C22semidirect
43. C2×C22⋊C8×C59C22semidirect
45. C59×#399C22semidirect
47. C59×#392C22semidirect
48. C2×#95×C59C22semidirect
49. C59×#328C22semidirect
50. C59×#327C22semidirect
51. C59×#327C22semidirect
52. C59×#327C22semidirect
53. C59×#323C22semidirect
54. C59×#323C22semidirect
55. C2×#41×C59D4semidirect
64. C22×D4×C59D4semidirect
84. C22⋊Q8×C59D4semidirect
105. #121×C59D4semidirect
106. #121×C59D4semidirect
123. #117×C59D4semidirect
126. C2×C4⋊C4×C59D4semidirect
329. #18418C59direct (N × H)
372. #3537C2×C59semidirect
373. #3192C2×C59semidirect
374. #3188C2×C59semidirect
375. #2656C2×C59semidirect
376. #1618C2×C59semidirect
377. #1613C2×C59semidirect
378. #1600C2×C59semidirect
379. #1595C2×C59semidirect
380. #1504C2×C59semidirect
381. C2×#327C2×C59semidirect
382. #1471C2×C59semidirect
410. C2×#121C22×C59semidirect
411. #484C22×C59semidirect
414. #481C22×C59semidirect
415. #481C22×C59semidirect
419. #450C22×C59semidirect
422. #447C22×C59semidirect
423. #447C22×C59semidirect
424. #407C22×C59semidirect
425. C2×C22⋊C8C22×C59semidirect
427. #399C22×C59semidirect
429. #392C22×C59semidirect
430. C2×#95C22×C59semidirect
431. #328C22×C59semidirect
432. #327C22×C59semidirect
433. #327C22×C59semidirect
434. #327C22×C59semidirect
435. #323C22×C59semidirect
436. #323C22×C59semidirect
437. C59#18418direct (N × H)
438. C2×#41D4×C59semidirect
447. C22×D4D4×C59semidirect
467. C22⋊Q8D4×C59semidirect
488. #121D4×C59semidirect
489. #121D4×C59semidirect
506. #117D4×C59semidirect
509. C2×C4⋊C4D4×C59semidirect

Maximal subgroups

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

subgroupindex
C59×#35372
C59×#31922
C59×#31882
C59×#26562
C59×#16182
C59×#16132
C59×#16002
C59×#15952
C59×#15042
C2×C59×#3272
C59×#14712
#1841859