Finite Group Databasebeta

← C59×#27063 #28439172

Subgroups — C59×#27063 #28439172

Order 15104.

840 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2514C211yesmaximal, characteristic, complemented
2C59×#2366C211yesmaximal, characteristic
3C59×#2092C211yesmaximal, characteristic, complemented
4C59×#2055C211yesmaximal, characteristic, complemented
5C59×#2041C211yesmaximal, characteristic
6C59×#2014C211yesmaximal, characteristic
7C59×#1968C211yesmaximal, characteristic, complemented
8C59×#1928C211yesmaximal, characteristic, complemented
9C59×#1925C211yesmaximal, characteristic, complemented
10C59×#1919C211yesmaximal, characteristic, complemented
11C59×#1916C211yesmaximal, characteristic, complemented
12C59×#1877C211yesmaximal, characteristic, complemented
13C59×#1877C211yesmaximal, characteristic, complemented
14C59×#1804C211yesmaximal, characteristic, complemented
15C4×#102×C59C211yesmaximal, characteristic, complemented
16C22×SD16×C59C2211yescharacteristic
17C22×SD16×C59C2211yescharacteristic
18C2×#127×C59C2211yescharacteristic
19C2×C4×D4×C59—21no—
20C2×C4×D4×C59C2211yescharacteristic
21C2×C4×D4×C59C2211yescharacteristic
22C2×#107×C59C2211yescharacteristic
23C2×#106×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×C4×C8×C59C2211yescharacteristic
34C59×#401—21no—
35C59×#400—21no—
36C59×#391C2211yescharacteristic
37C59×#391C2211yescharacteristic
38C59×#391C2211yescharacteristic
39C59×#390—21no—
40C59×#390C2211yescharacteristic
41C59×#390C2211yescharacteristic
42C59×#389C2211yescharacteristic
43C59×#387—21no—
44C59×#386—21no—
45C59×#386—21no—
46C59×#383—21no—
47C59×#382C2211yescharacteristic
48C4×C4⋊C4×C59C2211yescharacteristic
49C4×C4⋊C4×C59C2211yescharacteristic
50C4×C4⋊C4×C59C2211yescharacteristic
51C59×#340C2211yescharacteristic
52C59×#340C2211yescharacteristic
53C59×#340C2211yescharacteristic
54C59×#340C2211yescharacteristic
55C59×#336C2211yescharacteristic
56C59×#336C2211yescharacteristic
57C59×#336C2211yescharacteristic
58C59×#336C2211yescharacteristic
59C22×Q8×C59C2311yescharacteristic
60C22×D4×C59—21no—
61C22×D4×C59—21no—
62C22×D4×C59C2311yescharacteristic
63C22×D4×C59C2311yescharacteristic
64C23×C4×C59—21no—
65C23×C4×C59—21no—
66C2×SD16×C59—22no—
67C2×SD16×C59—22no—
68C2×SD16×C59—22no—
69C2×SD16×C59—41no—
70C2×SD16×C59—41no—
71C2×SD16×C59—41no—
72C22×C8×C59C2311yescharacteristic
73C22×C8×C59C2311yescharacteristic
74C22×C8×C59C2311yescharacteristic
75C22×C8×C59C2311yescharacteristic
76#127×C59—22no—
77#127×C59—22no—
78C4×D4×C59—22no—
79C4×D4×C59—22no—
80C4×D4×C59—41no—
81C4×D4×C59—41no—
82C4×D4×C59—44no—
83C2×C4⋊C4×C59—21no—
84C2×C4⋊C4×C59D411yescharacteristic
85C2×C4⋊C4×C59D411yescharacteristic
86C2×C4⋊C4×C59C2311yescharacteristic
87C2×C4⋊C4×C59C2311yescharacteristic
88C2×C4⋊C4×C59C2311yescharacteristic
89C2×C4⋊C4×C59C2311yescharacteristic
90C2×C4⋊C4×C59C2311yescharacteristic
91C2×C22⋊C4×C59—21no—
92C2×C22⋊C4×C59—21no—
93C2×C22⋊C4×C59—21no—
94C2×C22⋊C4×C59—21no—
95C2×C22⋊C4×C59—21no—
96C2×C22⋊C4×C59—21no—
97C2×C42×C59—21no—
98C2×C42×C59—21no—
99C2×C42×C59C2311yescharacteristic
100C2×C42×C59C2311yescharacteristic
101C2×C42×C59C2311yescharacteristic
102#107×C59—41no—
103#106×C59—22no—
104C4⋊C8×C59—41no—
105#103×C59—22no—
106#103×C59—41no—
107#102×C59—22no—
108#102×C59—22no—
109#102×C59—22no—
110#102×C59—41no—
111#102×C59—41no—
112#102×C59—41no—
113C4×C8×C59—41no—
114#95×C59—21no—
115#95×C59—21no—
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×C59—21no—
124#95×C59—21no—
125#95×C59D411yescharacteristic
126#95×C59D411yescharacteristic
127C24×C59—21no—
128C24×C59—21no—
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—24no—
137C2×D4×C59—21no—
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—42no—
148C2×D4×C59—42no—
149C2×D4×C59—81no—
150C2×D4×C59—81no—
151C2×D4×C59#4112yes—
152C2×D4×C59#4112yes—
153C22×C4×C59—21no—
154C22×C4×C59—21no—
155C22×C4×C59—21no—
156C22×C4×C59—21no—
157C22×C4×C59—21no—
158C22×C4×C59—21no—
159C22×C4×C59—42no—
160C22×C4×C59—42no—
161C22×C4×C59—42no—
162C22×C4×C59—42no—
163C22×C4×C59—81no—
164C22×C4×C59—81no—
165C22×C4×C59C2×D411yescharacteristic
166C22×C4×C59C2×D411yescharacteristic
167C22×C4×C59C2×D411yescharacteristic
168C22×C4×C59C2×D411yescharacteristic
169C22×C4×C59C2×D411yescharacteristic
170C22×C4×C59C2×D411yescharacteristic
171C22×C4×C59C2411yescharacteristic
172SD16×C59—44no—
173SD16×C59—44no—
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—21no—
183C2×C8×C59—21no—
184C2×C8×C59—21no—
185C2×C8×C59#4112yes—
186C4⋊C4×C59—22no—
187C4⋊C4×C59—22no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—21no—
190C4⋊C4×C59—21no—
191C4⋊C4×C59—21no—
192C4⋊C4×C59—21no—
193C4⋊C4×C59—21no—
194C4⋊C4×C59—21no—
195C4⋊C4×C59—21no—
196C4⋊C4×C59—21no—
197C4⋊C4×C59—42no—
198C4⋊C4×C59#4112yes—
199C22⋊C4×C59—42no—
200C22⋊C4×C59—42no—
201C22⋊C4×C59—42no—
202C22⋊C4×C59—42no—
203C22⋊C4×C59—81no—
204C22⋊C4×C59—81no—
205C42×C59—21no—
206C42×C59—21no—
207C42×C59—21no—
208C42×C59—21no—
209C42×C59—21no—
210C42×C59—21no—
211C42×C59—42no—
212C42×C59—42no—
213C23×C59—22no—
214C23×C59—22no—
215C23×C59—41no—
216C23×C59—41no—
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×C59C22×D411yescharacteristic
228Q8×C59—41no—
229Q8×C59—41no—
230Q8×C59—41no—
231Q8×C59—41no—
232D4×C59—22no—
233D4×C59—22no—
234D4×C59—22no—
235D4×C59—22no—
236D4×C59—48no—
237D4×C59—41no—
238D4×C59—41no—
239D4×C59—41no—
240D4×C59—41no—
241D4×C59—84no—
242C2×C4×C59—21no—
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—22no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
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—84no—
277C2×C4×C59—84no—
278C2×C4×C59#13512yes—
279C2×C4×C59AGL(1,ℤ/8)12yes—
280C2×C4×C59C2×#4111yescharacteristic
281C2×C4×C59C2×#4111yescharacteristic
282C2×C4×C59C2×#4111yescharacteristic
283C2×C4×C59C2×#4111yescharacteristic
284C2×C4×C59H(5,𝔽2)11yescharacteristic
285C2×C4×C59H(5,𝔽2)11yescharacteristic
286C8×C59—22no—
287C8×C59—41no—
288C8×C59—41no—
289C8×C59—41no—
290#27063C5911yesmaximal, characteristic, direct product factor, Sylow
291C22×C59—42no—
292C22×C59—42no—
293C22×C59—42no—
294C22×C59—42no—
295C22×C59—42no—
296C22×C59—42no—
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#52511yescharacteristic
306C22×C59#54611yescharacteristic
307C22×C59#55011yescharacteristic
308C22×C59C2×#13511yescharacteristic
309C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
310C22×C59#57711yescharacteristic
311C22×C59#57711yescharacteristic
312C4×C59—22no—
313C4×C59—22no—
314C4×C59—41no—
315C4×C59—41no—
316C4×C59—41no—
317C4×C59—41no—
318C4×C59—42no—
319C4×C59—81no—
320C4×C59—81no—
321C4×C59—81no—
322C4×C59—81no—
323C4×C59—81no—
324C4×C59#52911yescharacteristic
325C4×C59#53811yescharacteristic
326C4×C59#55111yescharacteristic
327C4×C59#55311yescharacteristic
328#2514C2×C5911yescharacteristic, complemented
329#2366C2×C5911yescharacteristic
330#2092C2×C5911yescharacteristic, complemented
331#2055C2×C5911yescharacteristic, complemented
332#2041C2×C5911yescharacteristic
333#2014C2×C5911yescharacteristic
334#1968C2×C5911yescharacteristic, complemented
335#1928C2×C5911yescharacteristic, complemented
336#1925C2×C5911yescharacteristic, complemented
337#1919C2×C5911yescharacteristic, complemented
338#1916C2×C5911yescharacteristic, complemented
339#1877C2×C5911yescharacteristic, complemented
340#1877C2×C5911yescharacteristic, complemented
341#1804C2×C5911yescharacteristic, complemented
342C4×#102C2×C5911yescharacteristic, complemented
343C2×C59—82no—
344C2×C59—82no—
345C2×C59#246711yescharacteristic
346C2×C59#310511yescharacteristic
347C2×C59#312311yescharacteristic
348C2×C59#330411yescharacteristic
349C2×C59#331011yescharacteristic
350C2×C59#339411yescharacteristic
351C2×C59#339711yescharacteristic
352C22×SD16C22×C5911yescharacteristic
353C22×SD16C22×C5911yescharacteristic
354C2×#127C22×C5911yescharacteristic
355C2×C4×D4—21no—
356C2×C4×D4C22×C5911yescharacteristic
357C2×C4×D4C22×C5911yescharacteristic
358C2×#107C22×C5911yescharacteristic
359C2×#106C22×C5911yescharacteristic
360C2×C4⋊C8C22×C5911yescharacteristic
361C2×#103C22×C5911yescharacteristic
362C2×#103C22×C5911yescharacteristic
363C2×#102C22×C5911yescharacteristic
364C2×#102C22×C5911yescharacteristic
365C2×#102C22×C5911yescharacteristic
366C2×#102C22×C5911yescharacteristic
367C2×#102C22×C5911yescharacteristic
368C2×#102C22×C5911yescharacteristic
369C2×C4×C8C22×C5911yescharacteristic
370#401—21no—
371#400—21no—
372#391C22×C5911yescharacteristic
373#391C22×C5911yescharacteristic
374#391C22×C5911yescharacteristic
375#390—21no—
376#390C22×C5911yescharacteristic
377#390C22×C5911yescharacteristic
378#389C22×C5911yescharacteristic
379#387—21no—
380#386—21no—
381#386—21no—
382#383—21no—
383#382C22×C5911yescharacteristic
384C4×C4⋊C4C22×C5911yescharacteristic
385C4×C4⋊C4C22×C5911yescharacteristic
386C4×C4⋊C4C22×C5911yescharacteristic
387#340C22×C5911yescharacteristic
388#340C22×C5911yescharacteristic
389#340C22×C5911yescharacteristic
390#340C22×C5911yescharacteristic
391#336C22×C5911yescharacteristic
392#336C22×C5911yescharacteristic
393#336C22×C5911yescharacteristic
394#336C22×C5911yescharacteristic
395C59#2706311yescharacteristic, direct product factor, Sylow
396C22×Q8C23×C5911yescharacteristic
397C22×D4—21no—
398C22×D4—21no—
399C22×D4C23×C5911yescharacteristic
400C22×D4C23×C5911yescharacteristic
401C23×C4—21no—
402C23×C4—21no—
403C2×SD16—22no—
404C2×SD16—22no—
405C2×SD16—22no—
406C2×SD16—41no—
407C2×SD16—41no—
408C2×SD16—41no—
409C22×C8C23×C5911yescharacteristic
410C22×C8C23×C5911yescharacteristic
411C22×C8C23×C5911yescharacteristic
412C22×C8C23×C5911yescharacteristic
413#127—22no—
414#127—22no—
415C4×D4—22no—
416C4×D4—22no—
417C4×D4—41no—
418C4×D4—41no—
419C4×D4—44no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4D4×C5911yescharacteristic
422C2×C4⋊C4D4×C5911yescharacteristic
423C2×C4⋊C4C23×C5911yescharacteristic
424C2×C4⋊C4C23×C5911yescharacteristic
425C2×C4⋊C4C23×C5911yescharacteristic
426C2×C4⋊C4C23×C5911yescharacteristic
427C2×C4⋊C4C23×C5911yescharacteristic
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C42—21no—
435C2×C42—21no—
436C2×C42C23×C5911yescharacteristic
437C2×C42C23×C5911yescharacteristic
438C2×C42C23×C5911yescharacteristic
439#107—41no—
440#106—22no—
441C4⋊C8—41no—
442#103—22no—
443#103—41no—
444#102—22no—
445#102—22no—
446#102—22no—
447#102—41no—
448#102—41no—
449#102—41no—
450C4×C8—41no—
451#95—21no—
452#95—21no—
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#95—21no—
462#95D4×C5911yescharacteristic
463#95D4×C5911yescharacteristic
464C24—21no—
465C24—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×D4—24no—
473C2×D4—24no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4#41×C5912yes—
489C2×D4#41×C5912yes—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—81no—
501C22×C4—81no—
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—22no—
524C4⋊C4—22no—
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—21no—
534C4⋊C4—42no—
535C4⋊C4#41×C5912yes—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—81no—
541C22⋊C4—81no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—42no—
549C42—42no—
550C23—22no—
551C23—22no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23C22×D4×C5911yescharacteristic
565Q8—41no—
566Q8—41no—
567Q8—41no—
568Q8—41no—
569D4—22no—
570D4—22no—
571D4—22no—
572D4—22no—
573D4—48no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—84no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—22no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
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×C4#135×C5912yes—
616C2×C4AGL(1,ℤ/8)×C5912yes—
617C2×C4C2×#41×C5911yescharacteristic
618C2×C4C2×#41×C5911yescharacteristic
619C2×C4C2×#41×C5911yescharacteristic
620C2×C4C2×#41×C5911yescharacteristic
621C2×C4H(5,𝔽2)×C5911yescharacteristic
622C2×C4H(5,𝔽2)×C5911yescharacteristic
623C8—22no—
624C8—41no—
625C8—41no—
626C8—41no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22C59×#52511yescharacteristic
642C22C59×#54611yescharacteristic
643C22C59×#55011yescharacteristic
644C22C2×#135×C5911yescharacteristic
645C22C2×AGL(1,ℤ/8)×C5911yescharacteristic
646C22C59×#57711yescharacteristic
647C22C59×#57711yescharacteristic
648C4—22no—
649C4—22no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—42no—
654C4—41no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4C59×#52911yescharacteristic
661C4C59×#53811yescharacteristic
662C4C59×#55111yescharacteristic
663C4C59×#55311yescharacteristic
664C2—82no—
665C2—82no—
666C2C59×#246711yescharacteristic
667C2C59×#310511yescharacteristic
668C2C59×#312311yescharacteristic
669C2C59×#330411yescharacteristic
670C2C59×#331011yescharacteristic
671C2C59×#339411yescharacteristic
672C2C59×#339711yescharacteristic
subgroupG/H
center, socleC23×C59C22×D4
commutator, Frattini, cosocleC22×C4C24×C59
prime radicalC2×#127×C59C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C59 ◁ C4×C4⋊C4×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#2514C2semidirect
3. C59×#2092C2semidirect
4. C59×#2055C2semidirect
7. C59×#1968C2semidirect
8. C59×#1928C2semidirect
9. C59×#1925C2semidirect
10. C59×#1919C2semidirect
11. C59×#1916C2semidirect
12. C59×#1877C2semidirect
13. C59×#1877C2semidirect
14. C59×#1804C2semidirect
15. C4×#102×C59C2semidirect
290. #27063C59direct (N × H)
328. #2514C2×C59semidirect
330. #2092C2×C59semidirect
331. #2055C2×C59semidirect
334. #1968C2×C59semidirect
335. #1928C2×C59semidirect
336. #1925C2×C59semidirect
337. #1919C2×C59semidirect
338. #1916C2×C59semidirect
339. #1877C2×C59semidirect
340. #1877C2×C59semidirect
341. #1804C2×C59semidirect
342. C4×#102C2×C59semidirect
395. C59#27063direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#25142
C59×#23662
C59×#20922
C59×#20552
C59×#20412
C59×#20142
C59×#19682
C59×#19282
C59×#19252
C59×#19192
C59×#19162
C59×#18772
C59×#18042
C4×#102×C592
#2706359