Finite Group Databasebeta

← C59×#26420 #28438529

Subgroups — C59×#26420 #28438529

Order 15104.

858 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2442C211yesmaximal, characteristic, complemented
2C59×#2361C211yesmaximal, characteristic
3C59×#2101C211yesmaximal, characteristic, complemented
4C59×#2087C211yesmaximal, characteristic, complemented
5C59×#2067C211yesmaximal, characteristic, complemented
6C59×#2025C211yesmaximal, characteristic, complemented
7C59×#1989C211yesmaximal, characteristic, complemented
8C59×#1921C211yesmaximal, characteristic, complemented
9C59×#1893C211yesmaximal, characteristic
10C59×#1874C211yesmaximal, characteristic
11C59×#1862C211yesmaximal, characteristic, complemented
12C59×#1852C211yesmaximal, characteristic, complemented
13C59×#1850C211yesmaximal, characteristic, complemented
14C59×#1804C211yesmaximal, characteristic, complemented
15C2×C59×#340C211yesmaximal, characteristic, complemented
16C23×C8×C59C2211yescharacteristic
17C2×#125×C59C2211yescharacteristic
18C2×#121×C59C2211yescharacteristic
19C2×C4×D4×C59—21no—
20C2×C4×D4×C59C2211yescharacteristic
21C22×C4⋊C4×C59C2211yescharacteristic
22C22×C4⋊C4×C59C2211yescharacteristic
23C2×#107×C59C2211yescharacteristic
24C2×#107×C59C2211yescharacteristic
25C2×C4⋊C8×C59C2211yescharacteristic
26C2×C4⋊C8×C59C2211yescharacteristic
27C2×#102×C59C2211yescharacteristic
28C2×#102×C59C2211yescharacteristic
29C2×#102×C59C2211yescharacteristic
30C2×#102×C59C2211yescharacteristic
31C2×C22⋊C8×C59C2211yescharacteristic
32C59×#400—21no—
33C59×#398—21no—
34C59×#390C2211yescharacteristic
35C59×#389C2211yescharacteristic
36C59×#389C2211yescharacteristic
37C59×#389C2211yescharacteristic
38C59×#388—21no—
39C59×#386—21no—
40C59×#385—21no—
41C59×#385—21no—
42C59×#382C2211yescharacteristic
43C59×#380—21no—
44C59×#380C2211yescharacteristic
45C4×C4⋊C4×C59C2211yescharacteristic
46C4×C22⋊C4×C59C2211yescharacteristic
47C59×#340C2211yescharacteristic
48C59×#340C2211yescharacteristic
49C59×#340C2211yescharacteristic
50C59×#340C2211yescharacteristic
51C59×#340C2211yescharacteristic
52C59×#340C2211yescharacteristic
53C59×#340C2211yescharacteristic
54C59×#340C2211yescharacteristic
55C59×#340C2211yescharacteristic
56C59×#340C2211yescharacteristic
57C59×#336C2211yescharacteristic
58C59×#336C2211yescharacteristic
59C22×D4×C59—21no—
60C22×D4×C59C2311yescharacteristic
61C23×C4×C59—21no—
62C23×C4×C59—21no—
63C23×C4×C59—21no—
64C23×C4×C59C2311yescharacteristic
65C22×C8×C59—22no—
66C22×C8×C59—41no—
67C22×C8×C59—41no—
68C22×C8×C59C2311yescharacteristic
69C22×C8×C59C2311yescharacteristic
70C22×C8×C59C2311yescharacteristic
71C22×C8×C59C2311yescharacteristic
72#125×C59—22no—
73#125×C59—41no—
74#121×C59—22no—
75#121×C59Q814yes—
76C4×D4×C59—22no—
77C4×D4×C59—41no—
78C4×D4×C59—44no—
79C2×C4⋊C4×C59—22no—
80C2×C4⋊C4×C59—22no—
81C2×C4⋊C4×C59—21no—
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—21no—
88C2×C4⋊C4×C59—41no—
89C2×C4⋊C4×C59—41no—
90C2×C4⋊C4×C59C2311yescharacteristic
91C2×C4⋊C4×C59C2311yescharacteristic
92C2×C4⋊C4×C59C2311yescharacteristic
93C2×C4⋊C4×C59C2311yescharacteristic
94C2×C4⋊C4×C59C2311yescharacteristic
95C2×C4⋊C4×C59C2311yescharacteristic
96C2×C4⋊C4×C59C2311yescharacteristic
97C2×C22⋊C4×C59—21no—
98C2×C22⋊C4×C59—21no—
99C2×C22⋊C4×C59—21no—
100C2×C22⋊C4×C59—21no—
101C2×C22⋊C4×C59—21no—
102C2×C22⋊C4×C59D411yescharacteristic
103C2×C22⋊C4×C59D411yescharacteristic
104C2×C42×C59—21no—
105C2×C42×C59C2311yescharacteristic
106C2×C42×C59C2311yescharacteristic
107#107×C59—22no—
108#107×C59—41no—
109C4⋊C8×C59—41no—
110C4⋊C8×C59—41no—
111#102×C59—22no—
112#102×C59—41no—
113#102×C59—41no—
114#102×C59—41no—
115C22⋊C8×C59—22no—
116#95×C59—21no—
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×C59D411yescharacteristic
124#95×C59D411yescharacteristic
125C24×C59—21no—
126C24×C59C2×D411yescharacteristic
127C2×D4×C59—24no—
128C2×D4×C59—21no—
129C2×D4×C59—21no—
130C2×D4×C59—21no—
131C2×D4×C59—21no—
132C2×D4×C59—21no—
133C2×D4×C59—42no—
134C2×D4×C59—42no—
135C2×D4×C59C2×Q812yes—
136C22×C4×C59—21no—
137C22×C4×C59—21no—
138C22×C4×C59—21no—
139C22×C4×C59—21no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—21no—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—42no—
148C22×C4×C59—42no—
149C22×C4×C59—42no—
150C22×C4×C59—42no—
151C22×C4×C59—42no—
152C22×C4×C59—42no—
153C22×C4×C59—81no—
154C22×C4×C59—81no—
155C22×C4×C59—81no—
156C22×C4×C59C2×D411yescharacteristic
157C22×C4×C59C2×D411yescharacteristic
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2×D411yescharacteristic
161C22×C4×C59C2×Q812yes—
162C22×C4×C59#4112yes—
163C22×C4×C59C2411yescharacteristic
164C2×C8×C59—21no—
165C2×C8×C59—21no—
166C2×C8×C59—21no—
167C2×C8×C59—21no—
168C2×C8×C59—21no—
169C2×C8×C59—21no—
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—44no—
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×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—21no—
188C4⋊C4×C59—42no—
189C4⋊C4×C59—42no—
190C4⋊C4×C59—42no—
191C4⋊C4×C59—42no—
192C4⋊C4×C59—42no—
193C4⋊C4×C59—81no—
194C4⋊C4×C59—81no—
195C4⋊C4×C59C2×Q812yes—
196C4⋊C4×C59#4112yes—
197C4⋊C4×C59#4112yes—
198C22⋊C4×C59—22no—
199C22⋊C4×C59—22no—
200C22⋊C4×C59—24no—
201C22⋊C4×C59—42no—
202C22⋊C4×C59—42no—
203C22⋊C4×C59—42no—
204C22⋊C4×C59—81no—
205C42×C59—21no—
206C42×C59—21no—
207C42×C59—21no—
208C42×C59—21no—
209C42×C59—42no—
210C23×C59—21no—
211C23×C59—21no—
212C23×C59—21no—
213C23×C59—21no—
214C23×C59—22no—
215C23×C59—41no—
216C23×C59—41no—
217C23×C59—41no—
218C23×C59—41no—
219C23×C59—41no—
220C23×C59—41no—
221C23×C59C22⋊Q812yes—
222C23×C59#13512yes—
223C23×C59AGL(1,ℤ/8)12yes—
224C23×C59C22×D411yescharacteristic
225D4×C59—22no—
226D4×C59—22no—
227D4×C59—48no—
228D4×C59—41no—
229D4×C59—41no—
230C2×C4×C59—21no—
231C2×C4×C59—21no—
232C2×C4×C59—22no—
233C2×C4×C59—22no—
234C2×C4×C59—22no—
235C2×C4×C59—22no—
236C2×C4×C59—22no—
237C2×C4×C59—21no—
238C2×C4×C59—21no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—22no—
242C2×C4×C59—22no—
243C2×C4×C59—21no—
244C2×C4×C59—21no—
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—41no—
252C2×C4×C59—41no—
253C2×C4×C59—41no—
254C2×C4×C59—41no—
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—84no—
270C2×C4×C59—84no—
271C2×C4×C59—84no—
272C2×C4×C59C22⋊Q812yes—
273C2×C4×C59C22×Q811yescharacteristic
274C2×C4×C59C2×#4111yescharacteristic
275C2×C4×C59C2×#4111yescharacteristic
276C2×C4×C59C2×#4111yescharacteristic
277C2×C4×C59H(5,𝔽2)11yescharacteristic
278C2×C4×C59H(5,𝔽2)11yescharacteristic
279C8×C59—41no—
280C8×C59—41no—
281C8×C59—41no—
282C8×C59—41no—
283#26420C5911yesmaximal, characteristic, direct product factor, Sylow
284C22×C59—22no—
285C22×C59—22no—
286C22×C59—22no—
287C22×C59—22no—
288C22×C59—22no—
289C22×C59—22no—
290C22×C59—42no—
291C22×C59—42no—
292C22×C59—42no—
293C22×C59—81no—
294C22×C59—81no—
295C22×C59—81no—
296C22×C59—81no—
297C22×C59#47814yes—
298C22×C59C2×C22⋊Q811yescharacteristic
299C22×C59#54611yescharacteristic
300C22×C59#54611yescharacteristic
301C22×C59C2×#13511yescharacteristic
302C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
303C22×C59#57611yescharacteristic
304C22×C59#57811yescharacteristic
305C4×C59—22no—
306C4×C59—42no—
307C4×C59—41no—
308C4×C59—42no—
309C4×C59—41no—
310C4×C59—41no—
311C4×C59—41no—
312C4×C59—42no—
313C4×C59—81no—
314C4×C59—81no—
315C4×C59—81no—
316C4×C59—81no—
317C4×C59#52911yescharacteristic
318C4×C59#53811yescharacteristic
319C4×C59#55411yescharacteristic
320C4×C59#55411yescharacteristic
321#2442C2×C5911yescharacteristic, complemented
322#2361C2×C5911yescharacteristic
323#2101C2×C5911yescharacteristic, complemented
324#2087C2×C5911yescharacteristic, complemented
325#2067C2×C5911yescharacteristic, complemented
326#2025C2×C5911yescharacteristic, complemented
327#1989C2×C5911yescharacteristic, complemented
328#1921C2×C5911yescharacteristic, complemented
329#1893C2×C5911yescharacteristic
330#1874C2×C5911yescharacteristic
331#1862C2×C5911yescharacteristic, complemented
332#1852C2×C5911yescharacteristic, complemented
333#1850C2×C5911yescharacteristic, complemented
334#1804C2×C5911yescharacteristic, complemented
335C2×#340C2×C5911yescharacteristic, complemented
336C2×C59—24no—
337C2×C59—82no—
338C2×C59#245011yescharacteristic
339C2×C59C2×#47811yescharacteristic
340C2×C59#308311yescharacteristic
341C2×C59#329711yescharacteristic
342C2×C59#330011yescharacteristic
343C2×C59#330811yescharacteristic
344C2×C59#331811yescharacteristic
345C23×C8C22×C5911yescharacteristic
346C2×#125C22×C5911yescharacteristic
347C2×#121C22×C5911yescharacteristic
348C2×C4×D4—21no—
349C2×C4×D4C22×C5911yescharacteristic
350C22×C4⋊C4C22×C5911yescharacteristic
351C22×C4⋊C4C22×C5911yescharacteristic
352C2×#107C22×C5911yescharacteristic
353C2×#107C22×C5911yescharacteristic
354C2×C4⋊C8C22×C5911yescharacteristic
355C2×C4⋊C8C22×C5911yescharacteristic
356C2×#102C22×C5911yescharacteristic
357C2×#102C22×C5911yescharacteristic
358C2×#102C22×C5911yescharacteristic
359C2×#102C22×C5911yescharacteristic
360C2×C22⋊C8C22×C5911yescharacteristic
361#400—21no—
362#398—21no—
363#390C22×C5911yescharacteristic
364#389C22×C5911yescharacteristic
365#389C22×C5911yescharacteristic
366#389C22×C5911yescharacteristic
367#388—21no—
368#386—21no—
369#385—21no—
370#385—21no—
371#382C22×C5911yescharacteristic
372#380—21no—
373#380C22×C5911yescharacteristic
374C4×C4⋊C4C22×C5911yescharacteristic
375C4×C22⋊C4C22×C5911yescharacteristic
376#340C22×C5911yescharacteristic
377#340C22×C5911yescharacteristic
378#340C22×C5911yescharacteristic
379#340C22×C5911yescharacteristic
380#340C22×C5911yescharacteristic
381#340C22×C5911yescharacteristic
382#340C22×C5911yescharacteristic
383#340C22×C5911yescharacteristic
384#340C22×C5911yescharacteristic
385#340C22×C5911yescharacteristic
386#336C22×C5911yescharacteristic
387#336C22×C5911yescharacteristic
388C59#2642011yescharacteristic, direct product factor, Sylow
389C22×D4—21no—
390C22×D4C23×C5911yescharacteristic
391C23×C4—21no—
392C23×C4—21no—
393C23×C4—21no—
394C23×C4C23×C5911yescharacteristic
395C22×C8—22no—
396C22×C8—41no—
397C22×C8—41no—
398C22×C8C23×C5911yescharacteristic
399C22×C8C23×C5911yescharacteristic
400C22×C8C23×C5911yescharacteristic
401C22×C8C23×C5911yescharacteristic
402#125—22no—
403#125—41no—
404#121—22no—
405#121Q8×C5914yes—
406C4×D4—22no—
407C4×D4—41no—
408C4×D4—44no—
409C2×C4⋊C4—22no—
410C2×C4⋊C4—22no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—41no—
419C2×C4⋊C4—41no—
420C2×C4⋊C4C23×C5911yescharacteristic
421C2×C4⋊C4C23×C5911yescharacteristic
422C2×C4⋊C4C23×C5911yescharacteristic
423C2×C4⋊C4C23×C5911yescharacteristic
424C2×C4⋊C4C23×C5911yescharacteristic
425C2×C4⋊C4C23×C5911yescharacteristic
426C2×C4⋊C4C23×C5911yescharacteristic
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4D4×C5911yescharacteristic
433C2×C22⋊C4D4×C5911yescharacteristic
434C2×C42—21no—
435C2×C42C23×C5911yescharacteristic
436C2×C42C23×C5911yescharacteristic
437#107—22no—
438#107—41no—
439C4⋊C8—41no—
440C4⋊C8—41no—
441#102—22no—
442#102—41no—
443#102—41no—
444#102—41no—
445C22⋊C8—22no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95D4×C5911yescharacteristic
454#95D4×C5911yescharacteristic
455C24—21no—
456C24C2×D4×C5911yescharacteristic
457C2×D4—24no—
458C2×D4—21no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—42no—
464C2×D4—42no—
465C2×D4C2×Q8×C5912yes—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—81no—
484C22×C4—81no—
485C22×C4—81no—
486C22×C4C2×D4×C5911yescharacteristic
487C22×C4C2×D4×C5911yescharacteristic
488C22×C4C2×D4×C5911yescharacteristic
489C22×C4C2×D4×C5911yescharacteristic
490C22×C4C2×D4×C5911yescharacteristic
491C22×C4C2×Q8×C5912yes—
492C22×C4#41×C5912yes—
493C22×C4C24×C5911yescharacteristic
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—44no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4—81no—
524C4⋊C4—81no—
525C4⋊C4C2×Q8×C5912yes—
526C4⋊C4#41×C5912yes—
527C4⋊C4#41×C5912yes—
528C22⋊C4—22no—
529C22⋊C4—22no—
530C22⋊C4—24no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—81no—
535C42—21no—
536C42—21no—
537C42—21no—
538C42—21no—
539C42—42no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—22no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23C22⋊Q8×C5912yes—
552C23#135×C5912yes—
553C23AGL(1,ℤ/8)×C5912yes—
554C23C22×D4×C5911yescharacteristic
555D4—22no—
556D4—22no—
557D4—48no—
558D4—41no—
559D4—41no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
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—84no—
600C2×C4—84no—
601C2×C4—84no—
602C2×C4C22⋊Q8×C5912yes—
603C2×C4C22×Q8×C5911yescharacteristic
604C2×C4C2×#41×C5911yescharacteristic
605C2×C4C2×#41×C5911yescharacteristic
606C2×C4C2×#41×C5911yescharacteristic
607C2×C4H(5,𝔽2)×C5911yescharacteristic
608C2×C4H(5,𝔽2)×C5911yescharacteristic
609C8—41no—
610C8—41no—
611C8—41no—
612C8—41no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—42no—
620C22—42no—
621C22—42no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22C59×#47814yes—
627C22C2×C22⋊Q8×C5911yescharacteristic
628C22C59×#54611yescharacteristic
629C22C59×#54611yescharacteristic
630C22C2×#135×C5911yescharacteristic
631C22C2×AGL(1,ℤ/8)×C5911yescharacteristic
632C22C59×#57611yescharacteristic
633C22C59×#57811yescharacteristic
634C4—22no—
635C4—41no—
636C4—42no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—42no—
641C4—42no—
642C4—81no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4C59×#52911yescharacteristic
647C4C59×#53811yescharacteristic
648C4C59×#55411yescharacteristic
649C4C59×#55411yescharacteristic
650C2—24no—
651C2—82no—
652C2C59×#245011yescharacteristic
653C2C2×C59×#47811yescharacteristic
654C2C59×#308311yescharacteristic
655C2C59×#329711yescharacteristic
656C2C59×#330011yescharacteristic
657C2C59×#330811yescharacteristic
658C2C59×#331811yescharacteristic
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×#2442C2semidirect
3. C59×#2101C2semidirect
4. C59×#2087C2semidirect
5. C59×#2067C2semidirect
6. C59×#2025C2semidirect
7. C59×#1989C2semidirect
8. C59×#1921C2semidirect
11. C59×#1862C2semidirect
12. C59×#1852C2semidirect
13. C59×#1850C2semidirect
14. C59×#1804C2semidirect
15. C2×C59×#340C2semidirect
283. #26420C59direct (N × H)
321. #2442C2×C59semidirect
323. #2101C2×C59semidirect
324. #2087C2×C59semidirect
325. #2067C2×C59semidirect
326. #2025C2×C59semidirect
327. #1989C2×C59semidirect
328. #1921C2×C59semidirect
331. #1862C2×C59semidirect
332. #1852C2×C59semidirect
333. #1850C2×C59semidirect
334. #1804C2×C59semidirect
335. C2×#340C2×C59semidirect
388. C59#26420direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#24422
C59×#23612
C59×#21012
C59×#20872
C59×#20672
C59×#20252
C59×#19892
C59×#19212
C59×#18932
C59×#18742
C59×#18622
C59×#18522
C59×#18502
C59×#18042
C2×C59×#3402
#2642059