Finite Group Databasebeta

← C59×#23715 #28435824

Subgroups — C59×#23715 #28435824

Order 15104.

876 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
1C2×C59×#440C211yesmaximal, characteristic, complemented
2C2×C59×#433C211yesmaximal, characteristic, complemented
3C59×#2324C211yesmaximal, characteristic
4C59×#2323C211yesmaximal, characteristic, complemented
5C59×#2086C211yesmaximal, characteristic, complemented
6C59×#2076C211yesmaximal, characteristic, complemented
7C59×#2068C211yesmaximal, characteristic, complemented
8C59×#2065C211yesmaximal, characteristic, complemented
9C59×#2055C211yesmaximal, characteristic, complemented
10C59×#2035C211yesmaximal, characteristic, complemented
11C59×#2033C211yesmaximal, characteristic
12C59×#2000C211yesmaximal, characteristic
13C59×#1776C211yesmaximal, characteristic, complemented
14C4×#103×C59C211yesmaximal, characteristic, complemented
15C4×#102×C59C211yesmaximal, characteristic, complemented
16C22×SD16×C59C2211yescharacteristic
17C2×C22⋊Q8×C59C2211yescharacteristic
18C2×#121×C59C2211yescharacteristic
19C2×C4×Q8×C59C2211yescharacteristic
20C2×C4×D4×C59C2211yescharacteristic
21C2×#117×C59C2211yescharacteristic
22C59×#440—24no—
23C59×#433—24no—
24C2×#107×C59C2211yescharacteristic
25C2×#107×C59C2211yescharacteristic
26C2×#106×C59C2211yescharacteristic
27C2×C4⋊C8×C59C2211yescharacteristic
28C2×C4⋊C8×C59C2211yescharacteristic
29C2×#103×C59C2211yescharacteristic
30C2×#103×C59C2211yescharacteristic
31C2×#103×C59C2211yescharacteristic
32C2×#102×C59C2211yescharacteristic
33C2×#102×C59C2211yescharacteristic
34C2×#102×C59C2211yescharacteristic
35C2×C22⋊C8×C59C2211yescharacteristic
36C2×C22⋊C8×C59C2211yescharacteristic
37C2×#97×C59C2211yescharacteristic
38C2×C4×C8×C59C2211yescharacteristic
39C59×#391C2211yescharacteristic
40C59×#390—21no—
41C59×#390C2211yescharacteristic
42C59×#389—21no—
43C59×#389C2211yescharacteristic
44C59×#389C2211yescharacteristic
45C59×#388—21no—
46C59×#388—21no—
47C59×#388—21no—
48C59×#387—21no—
49C59×#386—21no—
50C59×#385—21no—
51C59×#380C2211yescharacteristic
52C59×#380C2211yescharacteristic
53C4×C4⋊C4×C59C2211yescharacteristic
54C4×C4⋊C4×C59C2211yescharacteristic
55C59×#340C2211yescharacteristic
56C59×#340C2211yescharacteristic
57C59×#340C2211yescharacteristic
58C59×#340C2211yescharacteristic
59C59×#340C2211yescharacteristic
60C59×#340C2211yescharacteristic
61C22×Q8×C59C2311yescharacteristic
62C22×D4×C59—21no—
63C22×D4×C59C2311yescharacteristic
64C23×C4×C59—21no—
65C23×C4×C59C2311yescharacteristic
66C2×SD16×C59—22no—
67C2×SD16×C59—22no—
68C2×SD16×C59—22no—
69C22×C8×C59C2311yescharacteristic
70C22×C8×C59C2311yescharacteristic
71C22×C8×C59C2311yescharacteristic
72C22×C8×C59C2311yescharacteristic
73C22⋊Q8×C59—22no—
74C22⋊Q8×C59—22no—
75#121×C59—22no—
76#121×C59—22no—
77C4×Q8×C59—22no—
78C4×Q8×C59—22no—
79C4×D4×C59—22no—
80C4×D4×C59—22no—
81#117×C59—22no—
82#117×C59—22no—
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×C59C2311yescharacteristic
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×C59D411yescharacteristic
103C2×C22⋊C4×C59D411yescharacteristic
104C2×C42×C59—21no—
105C2×C42×C59—21no—
106C2×C42×C59—21no—
107C2×C42×C59C2311yescharacteristic
108C2×C42×C59C2311yescharacteristic
109#107×C59—22no—
110#107×C59—22no—
111#106×C59—22no—
112C4⋊C8×C59—22no—
113C4⋊C8×C59—22no—
114#103×C59—22no—
115#103×C59—22no—
116#103×C59—22no—
117#102×C59—22no—
118#102×C59—22no—
119#102×C59—22no—
120C22⋊C8×C59—22no—
121C22⋊C8×C59—22no—
122#97×C59D414yescomplemented
123C4×C8×C59—22no—
124#95×C59—21no—
125#95×C59—21no—
126#95×C59—21no—
127#95×C59—21no—
128#95×C59—21no—
129#95×C59—21no—
130#95×C59—21no—
131#95×C59—21no—
132C24×C59—21no—
133C24×C59C2×D411yescharacteristic
134C2×Q8×C59—21no—
135C2×Q8×C59—21no—
136C2×Q8×C59—21no—
137C2×Q8×C59—21no—
138C2×Q8×C59—21no—
139C2×Q8×C59#4112yes—
140C2×D4×C59—24no—
141C2×D4×C59—21no—
142C2×D4×C59—21no—
143C2×D4×C59—21no—
144C2×D4×C59—21no—
145C2×D4×C59—21no—
146C2×D4×C59—81no—
147C2×D4×C59—81no—
148C2×D4×C59#4112yes—
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—21no—
158C22×C4×C59—21no—
159C22×C4×C59—21no—
160C22×C4×C59—21no—
161C22×C4×C59—21no—
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×C59C2411yescharacteristic
171SD16×C59—28no—
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×C59C2×D412yes—
183C2×C8×C59C2×D412yes—
184C4⋊C4×C59—24no—
185C4⋊C4×C59—22no—
186C4⋊C4×C59—22no—
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—21no—
194C4⋊C4×C59—21no—
195C4⋊C4×C59—21no—
196C4⋊C4×C59—21no—
197C4⋊C4×C59—42no—
198C4⋊C4×C59—81no—
199C4⋊C4×C59—81no—
200C4⋊C4×C59#4112yes—
201C4⋊C4×C59#4112yes—
202C22⋊C4×C59—24no—
203C22⋊C4×C59—24no—
204C22⋊C4×C59—22no—
205C22⋊C4×C59—22no—
206C22⋊C4×C59—42no—
207C22⋊C4×C59—81no—
208C22⋊C4×C59—81no—
209C22⋊C4×C59—81no—
210C22⋊C4×C59—81no—
211C42×C59—21no—
212C42×C59—21no—
213C42×C59—42no—
214C42×C59—81no—
215C42×C59—81no—
216C42×C59C2×D412yes—
217C42×C59#4112yes—
218C23×C59—21no—
219C23×C59—21no—
220C23×C59—22no—
221C23×C59—21no—
222C23×C59—21no—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—41no—
227C23×C59—41no—
228C23×C59—41no—
229C23×C59—41no—
230C23×C59—41no—
231C23×C59—41no—
232C23×C59C22×D411yescharacteristic
233Q8×C59—22no—
234Q8×C59—22no—
235Q8×C59—41no—
236Q8×C59—41no—
237D4×C59—22no—
238D4×C59—22no—
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—22no—
252C2×C4×C59—22no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
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—41no—
278C2×C4×C59—41no—
279C2×C4×C59—41no—
280C2×C4×C59—84no—
281C2×C4×C59#12112yes—
282C2×C4×C59#12112yes—
283C2×C4×C59C22×D411yescharacteristic
284C2×C4×C59C2×#4111yescharacteristic
285C2×C4×C59C2×#4111yescharacteristic
286C2×C4×C59C2×#4111yescharacteristic
287C2×C4×C59C2×#4111yescharacteristic
288C2×C4×C59C2×#4111yescharacteristic
289C8×C59—22no—
290C8×C59—22no—
291C8×C59—41no—
292C8×C59—41no—
293#23715C5911yesmaximal, characteristic, direct product factor, Sylow
294C22×C59—41no—
295C22×C59—42no—
296C22×C59—41no—
297C22×C59—42no—
298C22×C59—41no—
299C22×C59—41no—
300C22×C59—41no—
301C22×C59—42no—
302C22×C59—41no—
303C22×C59—41no—
304C22×C59—81no—
305C22×C59—81no—
306C22×C59—81no—
307C22×C59—81no—
308C22×C59C2×#12111yescharacteristic
309C22×C59#52511yescharacteristic
310C22×C59#52511yescharacteristic
311C22×C59#57611yescharacteristic
312C22×C59#57711yescharacteristic
313C22×C59#57711yescharacteristic
314C22×C59#57811yescharacteristic
315C4×C59—22no—
316C4×C59—22no—
317C4×C59—42no—
318C4×C59—42no—
319C4×C59—41no—
320C4×C59—42no—
321C4×C59—41no—
322C4×C59—41no—
323C4×C59—81no—
324C4×C59—81no—
325C4×C59—81no—
326C4×C59—81no—
327C4×C59#52511yescharacteristic
328C4×C59#52911yescharacteristic
329C4×C59#52911yescharacteristic
330C4×C59#53211yescharacteristic
331C2×#440C2×C5911yescharacteristic, complemented
332C2×#433C2×C5911yescharacteristic, complemented
333#2324C2×C5911yescharacteristic
334#2323C2×C5911yescharacteristic, complemented
335#2086C2×C5911yescharacteristic, complemented
336#2076C2×C5911yescharacteristic, complemented
337#2068C2×C5911yescharacteristic, complemented
338#2065C2×C5911yescharacteristic, complemented
339#2055C2×C5911yescharacteristic, complemented
340#2035C2×C5911yescharacteristic, complemented
341#2033C2×C5911yescharacteristic
342#2000C2×C5911yescharacteristic
343#1776C2×C5911yescharacteristic, complemented
344C4×#103C2×C5911yescharacteristic, complemented
345C4×#102C2×C5911yescharacteristic, complemented
346C2×C59—81no—
347C2×C59—82no—
348C2×C59#239211yescharacteristic
349C2×C59#306211yescharacteristic
350C2×C59#306311yescharacteristic
351C2×C59#311811yescharacteristic
352C2×C59#312011yescharacteristic
353C2×C59#312411yescharacteristic
354C2×C59#312611yescharacteristic
355C22×SD16C22×C5911yescharacteristic
356C2×C22⋊Q8C22×C5911yescharacteristic
357C2×#121C22×C5911yescharacteristic
358C2×C4×Q8C22×C5911yescharacteristic
359C2×C4×D4C22×C5911yescharacteristic
360C2×#117C22×C5911yescharacteristic
361#440—24no—
362#433—24no—
363C2×#107C22×C5911yescharacteristic
364C2×#107C22×C5911yescharacteristic
365C2×#106C22×C5911yescharacteristic
366C2×C4⋊C8C22×C5911yescharacteristic
367C2×C4⋊C8C22×C5911yescharacteristic
368C2×#103C22×C5911yescharacteristic
369C2×#103C22×C5911yescharacteristic
370C2×#103C22×C5911yescharacteristic
371C2×#102C22×C5911yescharacteristic
372C2×#102C22×C5911yescharacteristic
373C2×#102C22×C5911yescharacteristic
374C2×C22⋊C8C22×C5911yescharacteristic
375C2×C22⋊C8C22×C5911yescharacteristic
376C2×#97C22×C5911yescharacteristic
377C2×C4×C8C22×C5911yescharacteristic
378#391C22×C5911yescharacteristic
379#390—21no—
380#390C22×C5911yescharacteristic
381#389—21no—
382#389C22×C5911yescharacteristic
383#389C22×C5911yescharacteristic
384#388—21no—
385#388—21no—
386#388—21no—
387#387—21no—
388#386—21no—
389#385—21no—
390#380C22×C5911yescharacteristic
391#380C22×C5911yescharacteristic
392C4×C4⋊C4C22×C5911yescharacteristic
393C4×C4⋊C4C22×C5911yescharacteristic
394#340C22×C5911yescharacteristic
395#340C22×C5911yescharacteristic
396#340C22×C5911yescharacteristic
397#340C22×C5911yescharacteristic
398#340C22×C5911yescharacteristic
399#340C22×C5911yescharacteristic
400C59#2371511yescharacteristic, direct product factor, Sylow
401C22×Q8C23×C5911yescharacteristic
402C22×D4—21no—
403C22×D4C23×C5911yescharacteristic
404C23×C4—21no—
405C23×C4C23×C5911yescharacteristic
406C2×SD16—22no—
407C2×SD16—22no—
408C2×SD16—22no—
409C22×C8C23×C5911yescharacteristic
410C22×C8C23×C5911yescharacteristic
411C22×C8C23×C5911yescharacteristic
412C22×C8C23×C5911yescharacteristic
413C22⋊Q8—22no—
414C22⋊Q8—22no—
415#121—22no—
416#121—22no—
417C4×Q8—22no—
418C4×Q8—22no—
419C4×D4—22no—
420C4×D4—22no—
421#117—22no—
422#117—22no—
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⋊C4C23×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⋊C4D4×C5911yescharacteristic
443C2×C22⋊C4D4×C5911yescharacteristic
444C2×C42—21no—
445C2×C42—21no—
446C2×C42—21no—
447C2×C42C23×C5911yescharacteristic
448C2×C42C23×C5911yescharacteristic
449#107—22no—
450#107—22no—
451#106—22no—
452C4⋊C8—22no—
453C4⋊C8—22no—
454#103—22no—
455#103—22no—
456#103—22no—
457#102—22no—
458#102—22no—
459#102—22no—
460C22⋊C8—22no—
461C22⋊C8—22no—
462#97D4×C5914yescomplemented
463C4×C8—22no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472C24—21no—
473C24C2×D4×C5911yescharacteristic
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8#41×C5912yes—
480C2×D4—24no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4#41×C5912yes—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—42no—
503C22×C4—81no—
504C22×C4—81no—
505C22×C4C2×D4×C5911yescharacteristic
506C22×C4C2×D4×C5911yescharacteristic
507C22×C4C2×D4×C5911yescharacteristic
508C22×C4C2×D4×C5911yescharacteristic
509C22×C4C2×D4×C5911yescharacteristic
510C22×C4C24×C5911yescharacteristic
511SD16—28no—
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×C8C2×D4×C5912yes—
523C2×C8C2×D4×C5912yes—
524C4⋊C4—24no—
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—42no—
538C4⋊C4—81no—
539C4⋊C4—81no—
540C4⋊C4#41×C5912yes—
541C4⋊C4#41×C5912yes—
542C22⋊C4—24no—
543C22⋊C4—24no—
544C22⋊C4—22no—
545C22⋊C4—22no—
546C22⋊C4—42no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C42—21no—
552C42—21no—
553C42—42no—
554C42—81no—
555C42—81no—
556C42C2×D4×C5912yes—
557C42#41×C5912yes—
558C23—21no—
559C23—21no—
560C23—22no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23C22×D4×C5911yescharacteristic
573Q8—22no—
574Q8—22no—
575Q8—41no—
576Q8—41no—
577D4—22no—
578D4—22no—
579D4—41no—
580D4—41no—
581D4—84no—
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—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
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—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—84no—
621C2×C4#121×C5912yes—
622C2×C4#121×C5912yes—
623C2×C4C22×D4×C5911yescharacteristic
624C2×C4C2×#41×C5911yescharacteristic
625C2×C4C2×#41×C5911yescharacteristic
626C2×C4C2×#41×C5911yescharacteristic
627C2×C4C2×#41×C5911yescharacteristic
628C2×C4C2×#41×C5911yescharacteristic
629C8—22no—
630C8—22no—
631C8—41no—
632C8—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—42no—
637C22—41no—
638C22—42no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—42no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22C2×#121×C5911yescharacteristic
648C22C59×#52511yescharacteristic
649C22C59×#52511yescharacteristic
650C22C59×#57611yescharacteristic
651C22C59×#57711yescharacteristic
652C22C59×#57711yescharacteristic
653C22C59×#57811yescharacteristic
654C4—22no—
655C4—22no—
656C4—41no—
657C4—41no—
658C4—42no—
659C4—42no—
660C4—41no—
661C4—42no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4C59×#52511yescharacteristic
667C4C59×#52911yescharacteristic
668C4C59×#52911yescharacteristic
669C4C59×#53211yescharacteristic
670C2—81no—
671C2—82no—
672C2C59×#239211yescharacteristic
673C2C59×#306211yescharacteristic
674C2C59×#306311yescharacteristic
675C2C59×#311811yescharacteristic
676C2C59×#312011yescharacteristic
677C2C59×#312411yescharacteristic
678C2C59×#312611yescharacteristic
subgroupG/H
center, socleC23×C59C22×D4
commutator, Frattini, cosocleC22×C4C24×C59
prime radicalC2×#121×C59C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C59 ◁ C2×#117×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C59×#440C2semidirect
2. C2×C59×#433C2semidirect
4. C59×#2323C2semidirect
5. C59×#2086C2semidirect
6. C59×#2076C2semidirect
7. C59×#2068C2semidirect
8. C59×#2065C2semidirect
9. C59×#2055C2semidirect
10. C59×#2035C2semidirect
13. C59×#1776C2semidirect
14. C4×#103×C59C2semidirect
15. C4×#102×C59C2semidirect
122. #97×C59D4semidirect
293. #23715C59direct (N × H)
331. C2×#440C2×C59semidirect
332. C2×#433C2×C59semidirect
334. #2323C2×C59semidirect
335. #2086C2×C59semidirect
336. #2076C2×C59semidirect
337. #2068C2×C59semidirect
338. #2065C2×C59semidirect
339. #2055C2×C59semidirect
340. #2035C2×C59semidirect
343. #1776C2×C59semidirect
344. C4×#103C2×C59semidirect
345. C4×#102C2×C59semidirect
400. C59#23715direct (N × H)
462. #97D4×C59semidirect

Maximal subgroups

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

subgroupindex
C2×C59×#4402
C2×C59×#4332
C59×#23242
C59×#23232
C59×#20862
C59×#20762
C59×#20682
C59×#20652
C59×#20552
C59×#20352
C59×#20332
C59×#20002
C59×#17762
C4×#103×C592
C4×#102×C592
#2371559