Finite Group Databasebeta

← C59×#32627 #28444736

Subgroups — C59×#32627 #28444736

Order 15104.

778 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
1C59×#2582C211yesmaximal, characteristic, complemented
2C59×#2548C211yesmaximal, characteristic
3C59×#2093C211yesmaximal, characteristic, complemented
4C59×#2071C211yesmaximal, characteristic, complemented
5C59×#2067C211yesmaximal, characteristic, complemented
6C59×#2055C211yesmaximal, characteristic, complemented
7C59×#2041C211yesmaximal, characteristic
8C59×#2014C211yesmaximal, characteristic
9C59×#1985C211yesmaximal, characteristic, complemented
10C59×#1973C211yesmaximal, characteristic, complemented
11C59×#1936C211yesmaximal, characteristic, complemented
12C59×#1928C211yesmaximal, characteristic, complemented
13C59×#1921C211yesmaximal, characteristic, complemented
14C59×#1880C211yesmaximal, characteristic, complemented
15C59×#1880C211yesmaximal, characteristic, complemented
16C22×SD16×C59C2211yescharacteristic
17C22×SD16×C59C2211yescharacteristic
18C2×#127×C59C2211yescharacteristic
19C2×#124×C59—21no—
20C2×C4×Q8×C59C2211yescharacteristic
21C2×C4×Q8×C59C2211yescharacteristic
22C2×#107×C59C2211yescharacteristic
23C2×#107×C59C2211yescharacteristic
24C2×C4⋊C8×C59C2211yescharacteristic
25C2×#103×C59C2211yescharacteristic
26C2×#103×C59C2211yescharacteristic
27C2×#102×C59C2211yescharacteristic
28C2×#102×C59C2211yescharacteristic
29C2×#102×C59C2211yescharacteristic
30C2×#102×C59C2211yescharacteristic
31C2×#102×C59C2211yescharacteristic
32C2×#102×C59C2211yescharacteristic
33C2×#97×C59C2211yescharacteristic
34C59×#398—21no—
35C59×#398—21no—
36C59×#394—21no—
37C59×#394—21no—
38C59×#391—21no—
39C59×#391C2211yescharacteristic
40C59×#391C2211yescharacteristic
41C59×#390—21no—
42C59×#390C2211yescharacteristic
43C59×#390C2211yescharacteristic
44C59×#390C2211yescharacteristic
45C59×#390C2211yescharacteristic
46C59×#389—21no—
47C59×#389C2211yescharacteristic
48C59×#389C2211yescharacteristic
49C59×#384C2211yescharacteristic
50C4×C4⋊C4×C59C2211yescharacteristic
51C59×#340C2211yescharacteristic
52C59×#340C2211yescharacteristic
53C59×#340C2211yescharacteristic
54C59×#340C2211yescharacteristic
55C59×#336C2211yescharacteristic
56C59×#336C2211yescharacteristic
57C59×#336C2211yescharacteristic
58C59×#336C2211yescharacteristic
59C22×Q8×C59D411yescharacteristic
60C22×Q8×C59C2311yescharacteristic
61C22×D4×C59—21no—
62C22×D4×C59—21no—
63C22×D4×C59C2311yescharacteristic
64C22×D4×C59C2311yescharacteristic
65C2×SD16×C59—22no—
66C2×SD16×C59—22no—
67C2×SD16×C59—22no—
68C2×SD16×C59—41no—
69C2×SD16×C59—41no—
70C2×SD16×C59—41no—
71C22×C8×C59C2311yescharacteristic
72C22×C8×C59C2311yescharacteristic
73C22×C8×C59C2311yescharacteristic
74C22×C8×C59C2311yescharacteristic
75#127×C59—41no—
76#127×C59—41no—
77#124×C59—44no—
78C4×Q8×C59—41no—
79C4×Q8×C59—41no—
80C4×Q8×C59—41no—
81C4×Q8×C59—41no—
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×C59D411yescharacteristic
88C2×C4⋊C4×C59D411yescharacteristic
89C2×C4⋊C4×C59D411yescharacteristic
90C2×C4⋊C4×C59C2311yescharacteristic
91C2×C4⋊C4×C59C2311yescharacteristic
92C2×C4⋊C4×C59C2311yescharacteristic
93C2×C4⋊C4×C59C2311yescharacteristic
94C2×C4⋊C4×C59C2311yescharacteristic
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×C59—21no—
101C2×C22⋊C4×C59—21no—
102C2×C22⋊C4×C59—21no—
103C2×C42×C59—21no—
104C2×C42×C59—21no—
105C2×C42×C59C2311yescharacteristic
106C2×C42×C59C2311yescharacteristic
107C2×C42×C59C2311yescharacteristic
108#107×C59—22no—
109#107×C59—41no—
110C4⋊C8×C59—41no—
111#103×C59—22no—
112#103×C59—41no—
113#102×C59—22no—
114#102×C59—41no—
115#102×C59—41no—
116#102×C59—41no—
117#102×C59—41no—
118#102×C59—41no—
119#97×C59—41no—
120#95×C59—21no—
121#95×C59—21no—
122#95×C59—21no—
123#95×C59—21no—
124#95×C59—21no—
125#95×C59—21no—
126#95×C59—21no—
127C24×C59—21no—
128C24×C59—21no—
129C2×Q8×C59—22no—
130C2×Q8×C59—22no—
131C2×Q8×C59—21no—
132C2×Q8×C59—21no—
133C2×Q8×C59—21no—
134C2×Q8×C59—21no—
135C2×Q8×C59—21no—
136C2×Q8×C59—41no—
137C2×Q8×C59#4112yes—
138C2×D4×C59—21no—
139C2×D4×C59—21no—
140C2×D4×C59—21no—
141C2×D4×C59—21no—
142C2×D4×C59—21no—
143C2×D4×C59—21no—
144C2×D4×C59—21no—
145C2×D4×C59—21no—
146C2×D4×C59—21no—
147C2×D4×C59—21no—
148C2×D4×C59—21no—
149C2×D4×C59—21no—
150C2×D4×C59—42no—
151C2×D4×C59—42no—
152C2×D4×C59—42no—
153C2×D4×C59—42no—
154C2×D4×C59—81no—
155C2×D4×C59—81no—
156C22×C4×C59—21no—
157C22×C4×C59—21no—
158C22×C4×C59—21no—
159C22×C4×C59—21no—
160C22×C4×C59—21no—
161C22×C4×C59—21no—
162C22×C4×C59C2×D411yescharacteristic
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—
170SD16×C59—44no—
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—
182C2×C8×C59#4112yes—
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—21no—
192C4⋊C4×C59—21no—
193C4⋊C4×C59—41no—
194C4⋊C4×C59—41no—
195C4⋊C4×C59—41no—
196C4⋊C4×C59—42no—
197C4⋊C4×C59—42no—
198C4⋊C4×C59—81no—
199C4⋊C4×C59—81no—
200C4⋊C4×C59—81no—
201C22⋊C4×C59—42no—
202C22⋊C4×C59—42no—
203C22⋊C4×C59—42no—
204C22⋊C4×C59—42no—
205C22⋊C4×C59—81no—
206C22⋊C4×C59—81no—
207C22⋊C4×C59—81no—
208C22⋊C4×C59—81no—
209C42×C59—21no—
210C42×C59—21no—
211C42×C59—21no—
212C42×C59—21no—
213C42×C59—21no—
214C42×C59—21no—
215C42×C59—42no—
216C42×C59—42no—
217C23×C59—41no—
218C23×C59—41no—
219C23×C59—41no—
220C23×C59—41no—
221C23×C59—41no—
222C23×C59—41no—
223C23×C59—41no—
224C23×C59—41no—
225C23×C59—41no—
226C23×C59—41no—
227C23×C59—41no—
228C23×C59—41no—
229C23×C59—41no—
230C23×C59—41no—
231C23×C59C22×D411yescharacteristic
232Q8×C59—22no—
233Q8×C59—22no—
234Q8×C59—44no—
235Q8×C59—41no—
236Q8×C59—41no—
237D4×C59—41no—
238D4×C59—41no—
239D4×C59—41no—
240D4×C59—41no—
241D4×C59—41no—
242D4×C59—41no—
243D4×C59—41no—
244D4×C59—41no—
245D4×C59—84no—
246D4×C59—84no—
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—22no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
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—41no—
278C2×C4×C59—41no—
279C2×C4×C59—41no—
280C2×C4×C59—41no—
281C2×C4×C59AGL(1,ℤ/8)12yes—
282C2×C4×C59#13712yes—
283C2×C4×C59C2×#4111yescharacteristic
284C2×C4×C59C2×#4111yescharacteristic
285C2×C4×C59H(5,𝔽2)11yescharacteristic
286C2×C4×C59H(5,𝔽2)11yescharacteristic
287C2×C4×C59H(5,𝔽2)11yescharacteristic
288C2×C4×C592−1+411yescharacteristic
289C8×C59—22no—
290C8×C59—41no—
291C8×C59—41no—
292C8×C59—41no—
293#32627C5911yesmaximal, characteristic, direct product factor, Sylow
294C22×C59—81no—
295C22×C59—81no—
296C22×C59—81no—
297C22×C59—81no—
298C22×C59—81no—
299C22×C59—81no—
300C22×C59—81no—
301C22×C59—81no—
302C22×C59—81no—
303C22×C59—81no—
304C22×C59—81no—
305C22×C59—81no—
306C22×C59—81no—
307C22×C59—81no—
308C22×C59#53411yescharacteristic
309C22×C59#54811yescharacteristic
310C22×C59#55011yescharacteristic
311C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
312C22×C59C2×#13711yescharacteristic
313C22×C59#57611yescharacteristic
314C22×C59#57711yescharacteristic
315C4×C59—22no—
316C4×C59—22no—
317C4×C59—41no—
318C4×C59—41no—
319C4×C59—41no—
320C4×C59—41no—
321C4×C59—42no—
322C4×C59—81no—
323C4×C59—81no—
324C4×C59—81no—
325C4×C59—81no—
326C4×C59—81no—
327C4×C59#53811yescharacteristic
328C4×C59#54211yescharacteristic
329C4×C59#55111yescharacteristic
330C4×C59#56211yescharacteristic
331#2582C2×C5911yescharacteristic, complemented
332#2548C2×C5911yescharacteristic
333#2093C2×C5911yescharacteristic, complemented
334#2071C2×C5911yescharacteristic, complemented
335#2067C2×C5911yescharacteristic, complemented
336#2055C2×C5911yescharacteristic, complemented
337#2041C2×C5911yescharacteristic
338#2014C2×C5911yescharacteristic
339#1985C2×C5911yescharacteristic, complemented
340#1973C2×C5911yescharacteristic, complemented
341#1936C2×C5911yescharacteristic, complemented
342#1928C2×C5911yescharacteristic, complemented
343#1921C2×C5911yescharacteristic, complemented
344#1880C2×C5911yescharacteristic, complemented
345#1880C2×C5911yescharacteristic, complemented
346C2×C59—161no—
347C2×C59—161no—
348C2×C59#273011yescharacteristic
349C2×C59#319311yescharacteristic
350C2×C59#319811yescharacteristic
351C2×C59#336811yescharacteristic
352C2×C59#337511yescharacteristic
353C2×C59#339911yescharacteristic
354C2×C59#340011yescharacteristic
355C22×SD16C22×C5911yescharacteristic
356C22×SD16C22×C5911yescharacteristic
357C2×#127C22×C5911yescharacteristic
358C2×#124—21no—
359C2×C4×Q8C22×C5911yescharacteristic
360C2×C4×Q8C22×C5911yescharacteristic
361C2×#107C22×C5911yescharacteristic
362C2×#107C22×C5911yescharacteristic
363C2×C4⋊C8C22×C5911yescharacteristic
364C2×#103C22×C5911yescharacteristic
365C2×#103C22×C5911yescharacteristic
366C2×#102C22×C5911yescharacteristic
367C2×#102C22×C5911yescharacteristic
368C2×#102C22×C5911yescharacteristic
369C2×#102C22×C5911yescharacteristic
370C2×#102C22×C5911yescharacteristic
371C2×#102C22×C5911yescharacteristic
372C2×#97C22×C5911yescharacteristic
373#398—21no—
374#398—21no—
375#394—21no—
376#394—21no—
377#391—21no—
378#391C22×C5911yescharacteristic
379#391C22×C5911yescharacteristic
380#390—21no—
381#390C22×C5911yescharacteristic
382#390C22×C5911yescharacteristic
383#390C22×C5911yescharacteristic
384#390C22×C5911yescharacteristic
385#389—21no—
386#389C22×C5911yescharacteristic
387#389C22×C5911yescharacteristic
388#384C22×C5911yescharacteristic
389C4×C4⋊C4C22×C5911yescharacteristic
390#340C22×C5911yescharacteristic
391#340C22×C5911yescharacteristic
392#340C22×C5911yescharacteristic
393#340C22×C5911yescharacteristic
394#336C22×C5911yescharacteristic
395#336C22×C5911yescharacteristic
396#336C22×C5911yescharacteristic
397#336C22×C5911yescharacteristic
398C59#3262711yescharacteristic, direct product factor, Sylow
399C22×Q8D4×C5911yescharacteristic
400C22×Q8C23×C5911yescharacteristic
401C22×D4—21no—
402C22×D4—21no—
403C22×D4C23×C5911yescharacteristic
404C22×D4C23×C5911yescharacteristic
405C2×SD16—22no—
406C2×SD16—22no—
407C2×SD16—22no—
408C2×SD16—41no—
409C2×SD16—41no—
410C2×SD16—41no—
411C22×C8C23×C5911yescharacteristic
412C22×C8C23×C5911yescharacteristic
413C22×C8C23×C5911yescharacteristic
414C22×C8C23×C5911yescharacteristic
415#127—41no—
416#127—41no—
417#124—44no—
418C4×Q8—41no—
419C4×Q8—41no—
420C4×Q8—41no—
421C4×Q8—41no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4D4×C5911yescharacteristic
428C2×C4⋊C4D4×C5911yescharacteristic
429C2×C4⋊C4D4×C5911yescharacteristic
430C2×C4⋊C4C23×C5911yescharacteristic
431C2×C4⋊C4C23×C5911yescharacteristic
432C2×C4⋊C4C23×C5911yescharacteristic
433C2×C4⋊C4C23×C5911yescharacteristic
434C2×C4⋊C4C23×C5911yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C42—21no—
444C2×C42—21no—
445C2×C42C23×C5911yescharacteristic
446C2×C42C23×C5911yescharacteristic
447C2×C42C23×C5911yescharacteristic
448#107—22no—
449#107—41no—
450C4⋊C8—41no—
451#103—22no—
452#103—41no—
453#102—22no—
454#102—41no—
455#102—41no—
456#102—41no—
457#102—41no—
458#102—41no—
459#97—41no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467C24—21no—
468C24—21no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—41no—
477C2×Q8#41×C5912yes—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—81no—
495C2×D4—81no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4C2×D4×C5911yescharacteristic
503C22×C4C2×D4×C5911yescharacteristic
504C22×C4C2×D4×C5911yescharacteristic
505C22×C4C2×D4×C5911yescharacteristic
506C22×C4C2×D4×C5911yescharacteristic
507C22×C4C2×D4×C5911yescharacteristic
508C22×C4C24×C5911yescharacteristic
509SD16—44no—
510SD16—44no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8#41×C5912yes—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—41no—
534C4⋊C4—41no—
535C4⋊C4—41no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—81no—
539C4⋊C4—81no—
540C4⋊C4—81no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—81no—
546C22⋊C4—81no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—42no—
556C42—42no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23C22×D4×C5911yescharacteristic
572Q8—22no—
573Q8—22no—
574Q8—44no—
575Q8—41no—
576Q8—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585D4—84no—
586D4—84no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—22no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
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—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4AGL(1,ℤ/8)×C5912yes—
622C2×C4#137×C5912yes—
623C2×C4C2×#41×C5911yescharacteristic
624C2×C4C2×#41×C5911yescharacteristic
625C2×C4H(5,𝔽2)×C5911yescharacteristic
626C2×C4H(5,𝔽2)×C5911yescharacteristic
627C2×C4H(5,𝔽2)×C5911yescharacteristic
628C2×C42−1+4×C5911yescharacteristic
629C8—22no—
630C8—41no—
631C8—41no—
632C8—41no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22C59×#53411yescharacteristic
648C22C59×#54811yescharacteristic
649C22C59×#55011yescharacteristic
650C22C2×AGL(1,ℤ/8)×C5911yescharacteristic
651C22C2×#137×C5911yescharacteristic
652C22C59×#57611yescharacteristic
653C22C59×#57711yescharacteristic
654C4—22no—
655C4—22no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—42no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4C59×#53811yescharacteristic
667C4C59×#54211yescharacteristic
668C4C59×#55111yescharacteristic
669C4C59×#56211yescharacteristic
670C2—161no—
671C2—161no—
672C2C59×#273011yescharacteristic
673C2C59×#319311yescharacteristic
674C2C59×#319811yescharacteristic
675C2C59×#336811yescharacteristic
676C2C59×#337511yescharacteristic
677C2C59×#339911yescharacteristic
678C2C59×#340011yescharacteristic
subgroupG/H
center, socleC23×C59C22×D4
commutator, Frattini, cosocleC22×C4C24×C59
prime radicalC2×#127×C59C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C59 ◁ C2×C4×Q8×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#2582C2semidirect
3. C59×#2093C2semidirect
4. C59×#2071C2semidirect
5. C59×#2067C2semidirect
6. C59×#2055C2semidirect
9. C59×#1985C2semidirect
10. C59×#1973C2semidirect
11. C59×#1936C2semidirect
12. C59×#1928C2semidirect
13. C59×#1921C2semidirect
14. C59×#1880C2semidirect
15. C59×#1880C2semidirect
293. #32627C59direct (N × H)
331. #2582C2×C59semidirect
333. #2093C2×C59semidirect
334. #2071C2×C59semidirect
335. #2067C2×C59semidirect
336. #2055C2×C59semidirect
339. #1985C2×C59semidirect
340. #1973C2×C59semidirect
341. #1936C2×C59semidirect
342. #1928C2×C59semidirect
343. #1921C2×C59semidirect
344. #1880C2×C59semidirect
345. #1880C2×C59semidirect
398. C59#32627direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#25822
C59×#25482
C59×#20932
C59×#20712
C59×#20672
C59×#20552
C59×#20412
C59×#20142
C59×#19852
C59×#19732
C59×#19362
C59×#19282
C59×#19212
C59×#18802
#3262759