Finite Group Databasebeta

← C59×#26736 #28438845

Subgroups — C59×#26736 #28438845

Order 15104.

826 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2489C211yesmaximal, characteristic, complemented
2C59×#2361C211yesmaximal, characteristic
3C59×#2055C211yesmaximal, characteristic, complemented
4C59×#2033C211yesmaximal, characteristic
5C59×#2025C211yesmaximal, characteristic, complemented
6C59×#2000C211yesmaximal, characteristic
7C59×#1989C211yesmaximal, characteristic, complemented
8C59×#1935C211yesmaximal, characteristic, complemented
9C59×#1928C211yesmaximal, characteristic, complemented
10C59×#1924C211yesmaximal, characteristic, complemented
11C59×#1921C211yesmaximal, characteristic, complemented
12C59×#1877C211yesmaximal, characteristic, complemented
13C59×#1872C211yesmaximal, characteristic, complemented
14C59×#1823C211yesmaximal, characteristic, complemented
15C59×#1762C211yesmaximal, characteristic, complemented
16C22×SD16×C59C2211yescharacteristic
17C2×#125×C59C2211yescharacteristic
18C2×C22⋊Q8×C59C2211yescharacteristic
19C2×#121×C59C2211yescharacteristic
20C2×C4×D4×C59—21no—
21C2×C4×D4×C59C2211yescharacteristic
22C22×C4⋊C4×C59C2211yescharacteristic
23C2×#107×C59C2211yescharacteristic
24C2×C4⋊C8×C59C2211yescharacteristic
25C2×#103×C59C2211yescharacteristic
26C2×#103×C59C2211yescharacteristic
27C2×#103×C59C2211yescharacteristic
28C2×#102×C59C2211yescharacteristic
29C2×#102×C59C2211yescharacteristic
30C2×#102×C59C2211yescharacteristic
31C2×C22⋊C8×C59C2211yescharacteristic
32C2×C22⋊C8×C59C2211yescharacteristic
33C2×#97×C59C2211yescharacteristic
34C59×#400—21no—
35C59×#397—21no—
36C59×#391C2211yescharacteristic
37C59×#391C2211yescharacteristic
38C59×#390C2211yescharacteristic
39C59×#389C2211yescharacteristic
40C59×#388—21no—
41C59×#388—21no—
42C59×#386—21no—
43C59×#385—21no—
44C59×#382—21no—
45C59×#380C2211yescharacteristic
46C4×C4⋊C4×C59C2211yescharacteristic
47C4×C4⋊C4×C59C2211yescharacteristic
48C4×C22⋊C4×C59C2211yescharacteristic
49C59×#340C2211yescharacteristic
50C59×#340C2211yescharacteristic
51C59×#340C2211yescharacteristic
52C59×#340C2211yescharacteristic
53C59×#340C2211yescharacteristic
54C59×#340C2211yescharacteristic
55C59×#340C2211yescharacteristic
56C59×#340C2211yescharacteristic
57C59×#336C2211yescharacteristic
58C59×#336C2211yescharacteristic
59C22×Q8×C59C2311yescharacteristic
60C22×D4×C59—21no—
61C22×D4×C59C2311yescharacteristic
62C23×C4×C59—21no—
63C23×C4×C59—21no—
64C23×C4×C59C2311yescharacteristic
65C2×SD16×C59—22no—
66C2×SD16×C59—41no—
67C2×SD16×C59—41no—
68C22×C8×C59C2311yescharacteristic
69C22×C8×C59C2311yescharacteristic
70C22×C8×C59C2311yescharacteristic
71C22×C8×C59C2311yescharacteristic
72#125×C59—22no—
73#125×C59—41no—
74C22⋊Q8×C59—22no—
75C22⋊Q8×C59—41no—
76#121×C59—22no—
77#121×C59—22no—
78C4×D4×C59—22no—
79C4×D4×C59—41no—
80C4×D4×C59—44no—
81C2×C4⋊C4×C59—22no—
82C2×C4⋊C4×C59—21no—
83C2×C4⋊C4×C59—21no—
84C2×C4⋊C4×C59—21no—
85C2×C4⋊C4×C59—21no—
86C2×C4⋊C4×C59—21no—
87C2×C4⋊C4×C59—41no—
88C2×C4⋊C4×C59C2311yescharacteristic
89C2×C4⋊C4×C59C2311yescharacteristic
90C2×C4⋊C4×C59C2311yescharacteristic
91C2×C4⋊C4×C59C2311yescharacteristic
92C2×C4⋊C4×C59C2311yescharacteristic
93C2×C4⋊C4×C59C2311yescharacteristic
94C2×C22⋊C4×C59—21no—
95C2×C22⋊C4×C59—21no—
96C2×C22⋊C4×C59—21no—
97C2×C22⋊C4×C59—21no—
98C2×C22⋊C4×C59—21no—
99C2×C22⋊C4×C59—21no—
100C2×C22⋊C4×C59D411yescharacteristic
101C2×C22⋊C4×C59D411yescharacteristic
102C2×C42×C59—21no—
103C2×C42×C59—21no—
104C2×C42×C59C2311yescharacteristic
105C2×C42×C59C2311yescharacteristic
106#107×C59—22no—
107C4⋊C8×C59—41no—
108#103×C59—22no—
109#103×C59—22no—
110#103×C59—41no—
111#102×C59—22no—
112#102×C59—22no—
113#102×C59—41no—
114C22⋊C8×C59—41no—
115C22⋊C8×C59—41no—
116#97×C59—41no—
117#95×C59—21no—
118#95×C59—21no—
119#95×C59—21no—
120#95×C59—21no—
121#95×C59—21no—
122#95×C59—21no—
123#95×C59—21no—
124#95×C59—21no—
125#95×C59D411yescharacteristic
126#95×C59D411yescharacteristic
127C24×C59—21no—
128C24×C59C2×D411yescharacteristic
129C2×Q8×C59—21no—
130C2×Q8×C59—21no—
131C2×Q8×C59—21no—
132C2×Q8×C59—21no—
133C2×Q8×C59—21no—
134C2×Q8×C59—21no—
135C2×D4×C59—24no—
136C2×D4×C59—21no—
137C2×D4×C59—21no—
138C2×D4×C59—21no—
139C2×D4×C59—21no—
140C2×D4×C59—21no—
141C2×D4×C59—42no—
142C2×D4×C59—42no—
143C2×D4×C59#4112yes—
144C22×C4×C59—21no—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
149C22×C4×C59—21no—
150C22×C4×C59—21no—
151C22×C4×C59—21no—
152C22×C4×C59—21no—
153C22×C4×C59—21no—
154C22×C4×C59—21no—
155C22×C4×C59—21no—
156C22×C4×C59—21no—
157C22×C4×C59—42no—
158C22×C4×C59—42no—
159C22×C4×C59—42no—
160C22×C4×C59—42no—
161C22×C4×C59—81no—
162C22×C4×C59—81no—
163C22×C4×C59C2×D411yescharacteristic
164C22×C4×C59C2×D411yescharacteristic
165C22×C4×C59C2×D411yescharacteristic
166C22×C4×C59C2×D411yescharacteristic
167C22×C4×C59C2×D411yescharacteristic
168C22×C4×C59C2411yescharacteristic
169SD16×C59—44no—
170C2×C8×C59—21no—
171C2×C8×C59—21no—
172C2×C8×C59—21no—
173C2×C8×C59—21no—
174C2×C8×C59—21no—
175C2×C8×C59—21no—
176C2×C8×C59—21no—
177C2×C8×C59—21no—
178C2×C8×C59—21no—
179C2×C8×C59—21no—
180C2×C8×C59—21no—
181C2×C8×C59—21no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—21no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—21no—
190C4⋊C4×C59—21no—
191C4⋊C4×C59—42no—
192C4⋊C4×C59—42no—
193C4⋊C4×C59—42no—
194C4⋊C4×C59—42no—
195C4⋊C4×C59—42no—
196C4⋊C4×C59#4112yes—
197C4⋊C4×C59#4112yes—
198C4⋊C4×C59#4112yes—
199C22⋊C4×C59—24no—
200C22⋊C4×C59—22no—
201C22⋊C4×C59—41no—
202C22⋊C4×C59—42no—
203C22⋊C4×C59—42no—
204C22⋊C4×C59—42no—
205C22⋊C4×C59—42no—
206C22⋊C4×C59—81no—
207C42×C59—21no—
208C42×C59—21no—
209C42×C59—21no—
210C42×C59—21no—
211C42×C59—42no—
212C42×C59—42no—
213C23×C59—21no—
214C23×C59—21no—
215C23×C59—21no—
216C23×C59—21no—
217C23×C59—21no—
218C23×C59—21no—
219C23×C59—22no—
220C23×C59—41no—
221C23×C59—41no—
222C23×C59—41no—
223C23×C59—41no—
224C23×C59—41no—
225C23×C59—41no—
226C23×C59AGL(1,ℤ/8)12yes—
227C23×C59C22×D411yescharacteristic
228Q8×C59—41no—
229Q8×C59—41no—
230Q8×C59—41no—
231Q8×C59—41no—
232D4×C59—22no—
233D4×C59—22no—
234D4×C59—48no—
235D4×C59—41no—
236D4×C59—41no—
237C2×C4×C59—21no—
238C2×C4×C59—22no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—21no—
243C2×C4×C59—22no—
244C2×C4×C59—22no—
245C2×C4×C59—21no—
246C2×C4×C59—21no—
247C2×C4×C59—21no—
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—41no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59—41no—
265C2×C4×C59—41no—
266C2×C4×C59—41no—
267C2×C4×C59—41no—
268C2×C4×C59—41no—
269C2×C4×C59—41no—
270C2×C4×C59—41no—
271C2×C4×C59—41no—
272C2×C4×C59—41no—
273C2×C4×C59—41no—
274C2×C4×C59—41no—
275C2×C4×C59—41no—
276C2×C4×C59—41no—
277C2×C4×C59—84no—
278C2×C4×C59—84no—
279C2×C4×C59C2×#4111yescharacteristic
280C2×C4×C59C2×#4111yescharacteristic
281C2×C4×C59C2×#4111yescharacteristic
282C2×C4×C59C2×#4111yescharacteristic
283C2×C4×C59H(5,𝔽2)11yescharacteristic
284C2×C4×C59H(5,𝔽2)11yescharacteristic
285C8×C59—41no—
286C8×C59—41no—
287C8×C59—41no—
288C8×C59—41no—
289#26736C5911yesmaximal, characteristic, direct product factor, Sylow
290C22×C59—22no—
291C22×C59—22no—
292C22×C59—22no—
293C22×C59—41no—
294C22×C59—41no—
295C22×C59—41no—
296C22×C59—41no—
297C22×C59—42no—
298C22×C59—42no—
299C22×C59—42no—
300C22×C59—81no—
301C22×C59—81no—
302C22×C59—81no—
303C22×C59—81no—
304C22×C59#52511yescharacteristic
305C22×C59#54611yescharacteristic
306C22×C59#54611yescharacteristic
307C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
308C22×C59#57511yescharacteristic
309C22×C59#57711yescharacteristic
310C22×C59#57811yescharacteristic
311C4×C59—42no—
312C4×C59—41no—
313C4×C59—41no—
314C4×C59—42no—
315C4×C59—41no—
316C4×C59—41no—
317C4×C59—42no—
318C4×C59—41no—
319C4×C59—81no—
320C4×C59—81no—
321C4×C59—81no—
322C4×C59—81no—
323C4×C59#52911yescharacteristic
324C4×C59#53811yescharacteristic
325C4×C59#55511yescharacteristic
326C4×C59#55911yescharacteristic
327#2489C2×C5911yescharacteristic, complemented
328#2361C2×C5911yescharacteristic
329#2055C2×C5911yescharacteristic, complemented
330#2033C2×C5911yescharacteristic
331#2025C2×C5911yescharacteristic, complemented
332#2000C2×C5911yescharacteristic
333#1989C2×C5911yescharacteristic, complemented
334#1935C2×C5911yescharacteristic, complemented
335#1928C2×C5911yescharacteristic, complemented
336#1924C2×C5911yescharacteristic, complemented
337#1921C2×C5911yescharacteristic, complemented
338#1877C2×C5911yescharacteristic, complemented
339#1872C2×C5911yescharacteristic, complemented
340#1823C2×C5911yescharacteristic, complemented
341#1762C2×C5911yescharacteristic, complemented
342C2×C59—42no—
343C2×C59—82no—
344C2×C59#245911yescharacteristic
345C2×C59#311411yescharacteristic
346C2×C59#312011yescharacteristic
347C2×C59#330711yescharacteristic
348C2×C59#330811yescharacteristic
349C2×C59#331011yescharacteristic
350C2×C59#332711yescharacteristic
351C22×SD16C22×C5911yescharacteristic
352C2×#125C22×C5911yescharacteristic
353C2×C22⋊Q8C22×C5911yescharacteristic
354C2×#121C22×C5911yescharacteristic
355C2×C4×D4—21no—
356C2×C4×D4C22×C5911yescharacteristic
357C22×C4⋊C4C22×C5911yescharacteristic
358C2×#107C22×C5911yescharacteristic
359C2×C4⋊C8C22×C5911yescharacteristic
360C2×#103C22×C5911yescharacteristic
361C2×#103C22×C5911yescharacteristic
362C2×#103C22×C5911yescharacteristic
363C2×#102C22×C5911yescharacteristic
364C2×#102C22×C5911yescharacteristic
365C2×#102C22×C5911yescharacteristic
366C2×C22⋊C8C22×C5911yescharacteristic
367C2×C22⋊C8C22×C5911yescharacteristic
368C2×#97C22×C5911yescharacteristic
369#400—21no—
370#397—21no—
371#391C22×C5911yescharacteristic
372#391C22×C5911yescharacteristic
373#390C22×C5911yescharacteristic
374#389C22×C5911yescharacteristic
375#388—21no—
376#388—21no—
377#386—21no—
378#385—21no—
379#382—21no—
380#380C22×C5911yescharacteristic
381C4×C4⋊C4C22×C5911yescharacteristic
382C4×C4⋊C4C22×C5911yescharacteristic
383C4×C22⋊C4C22×C5911yescharacteristic
384#340C22×C5911yescharacteristic
385#340C22×C5911yescharacteristic
386#340C22×C5911yescharacteristic
387#340C22×C5911yescharacteristic
388#340C22×C5911yescharacteristic
389#340C22×C5911yescharacteristic
390#340C22×C5911yescharacteristic
391#340C22×C5911yescharacteristic
392#336C22×C5911yescharacteristic
393#336C22×C5911yescharacteristic
394C59#2673611yescharacteristic, direct product factor, Sylow
395C22×Q8C23×C5911yescharacteristic
396C22×D4—21no—
397C22×D4C23×C5911yescharacteristic
398C23×C4—21no—
399C23×C4—21no—
400C23×C4C23×C5911yescharacteristic
401C2×SD16—22no—
402C2×SD16—41no—
403C2×SD16—41no—
404C22×C8C23×C5911yescharacteristic
405C22×C8C23×C5911yescharacteristic
406C22×C8C23×C5911yescharacteristic
407C22×C8C23×C5911yescharacteristic
408#125—22no—
409#125—41no—
410C22⋊Q8—22no—
411C22⋊Q8—41no—
412#121—22no—
413#121—22no—
414C4×D4—22no—
415C4×D4—41no—
416C4×D4—44no—
417C2×C4⋊C4—22no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—41no—
424C2×C4⋊C4C23×C5911yescharacteristic
425C2×C4⋊C4C23×C5911yescharacteristic
426C2×C4⋊C4C23×C5911yescharacteristic
427C2×C4⋊C4C23×C5911yescharacteristic
428C2×C4⋊C4C23×C5911yescharacteristic
429C2×C4⋊C4C23×C5911yescharacteristic
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4D4×C5911yescharacteristic
437C2×C22⋊C4D4×C5911yescharacteristic
438C2×C42—21no—
439C2×C42—21no—
440C2×C42C23×C5911yescharacteristic
441C2×C42C23×C5911yescharacteristic
442#107—22no—
443C4⋊C8—41no—
444#103—22no—
445#103—22no—
446#103—41no—
447#102—22no—
448#102—22no—
449#102—41no—
450C22⋊C8—41no—
451C22⋊C8—41no—
452#97—41no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95D4×C5911yescharacteristic
462#95D4×C5911yescharacteristic
463C24—21no—
464C24C2×D4×C5911yescharacteristic
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×D4—24no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—42no—
478C2×D4—42no—
479C2×D4#41×C5912yes—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—81no—
498C22×C4—81no—
499C22×C4C2×D4×C5911yescharacteristic
500C22×C4C2×D4×C5911yescharacteristic
501C22×C4C2×D4×C5911yescharacteristic
502C22×C4C2×D4×C5911yescharacteristic
503C22×C4C2×D4×C5911yescharacteristic
504C22×C4C24×C5911yescharacteristic
505SD16—44no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4#41×C5912yes—
533C4⋊C4#41×C5912yes—
534C4⋊C4#41×C5912yes—
535C22⋊C4—24no—
536C22⋊C4—22no—
537C22⋊C4—41no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—81no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—42no—
548C42—42no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—22no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23AGL(1,ℤ/8)×C5912yes—
563C23C22×D4×C5911yescharacteristic
564Q8—41no—
565Q8—41no—
566Q8—41no—
567Q8—41no—
568D4—22no—
569D4—22no—
570D4—48no—
571D4—41no—
572D4—41no—
573C2×C4—21no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—84no—
614C2×C4—84no—
615C2×C4C2×#41×C5911yescharacteristic
616C2×C4C2×#41×C5911yescharacteristic
617C2×C4C2×#41×C5911yescharacteristic
618C2×C4C2×#41×C5911yescharacteristic
619C2×C4H(5,𝔽2)×C5911yescharacteristic
620C2×C4H(5,𝔽2)×C5911yescharacteristic
621C8—41no—
622C8—41no—
623C8—41no—
624C8—41no—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22C59×#52511yescharacteristic
640C22C59×#54611yescharacteristic
641C22C59×#54611yescharacteristic
642C22C2×AGL(1,ℤ/8)×C5911yescharacteristic
643C22C59×#57511yescharacteristic
644C22C59×#57711yescharacteristic
645C22C59×#57811yescharacteristic
646C4—41no—
647C4—42no—
648C4—41no—
649C4—41no—
650C4—42no—
651C4—41no—
652C4—42no—
653C4—41no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4C59×#52911yescharacteristic
659C4C59×#53811yescharacteristic
660C4C59×#55511yescharacteristic
661C4C59×#55911yescharacteristic
662C2—42no—
663C2—82no—
664C2C59×#245911yescharacteristic
665C2C59×#311411yescharacteristic
666C2C59×#312011yescharacteristic
667C2C59×#330711yescharacteristic
668C2C59×#330811yescharacteristic
669C2C59×#331011yescharacteristic
670C2C59×#332711yescharacteristic
subgroupG/H
center, socleC23×C59C22×D4
commutator, Frattini, cosocleC22×C4C24×C59
prime radicalC2×#121×C59C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C59 ◁ C4×C22⋊C4×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#2489C2semidirect
3. C59×#2055C2semidirect
5. C59×#2025C2semidirect
7. C59×#1989C2semidirect
8. C59×#1935C2semidirect
9. C59×#1928C2semidirect
10. C59×#1924C2semidirect
11. C59×#1921C2semidirect
12. C59×#1877C2semidirect
13. C59×#1872C2semidirect
14. C59×#1823C2semidirect
15. C59×#1762C2semidirect
289. #26736C59direct (N × H)
327. #2489C2×C59semidirect
329. #2055C2×C59semidirect
331. #2025C2×C59semidirect
333. #1989C2×C59semidirect
334. #1935C2×C59semidirect
335. #1928C2×C59semidirect
336. #1924C2×C59semidirect
337. #1921C2×C59semidirect
338. #1877C2×C59semidirect
339. #1872C2×C59semidirect
340. #1823C2×C59semidirect
341. #1762C2×C59semidirect
394. C59#26736direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#24892
C59×#23612
C59×#20552
C59×#20332
C59×#20252
C59×#20002
C59×#19892
C59×#19352
C59×#19282
C59×#19242
C59×#19212
C59×#18772
C59×#18722
C59×#18232
C59×#17622
#2673659