Finite Group Databasebeta

← #28611397

Subgroups — #28611397

Order 15104.

1054 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837629C211yesmaximal, characteristic
2C2×#16837502C211yesmaximal, characteristic, complemented
3C22×#14273660C211yesmaximal, characteristic, complemented
4#21427099C211yesmaximal, characteristic, complemented
5#21424976C211yesmaximal, characteristic, complemented
6#21424836C211yesmaximal, characteristic, complemented
7#21424737C211yesmaximal, characteristic, complemented
8#21424713C211yesmaximal, characteristic, complemented
9#21424414C211yesmaximal, characteristic
10#21424403C211yesmaximal, characteristic, complemented
11#21424349C211yesmaximal, characteristic, complemented
12#21424343C211yesmaximal, characteristic, complemented
13#21423994C211yesmaximal, characteristic, complemented
14#21423874C211yesmaximal, characteristic, complemented
15C59×#2361C211yesmaximal, characteristic
16C22×#11745670C2211yescharacteristic
17C23×C59⋊C8C2211yescharacteristic
18C2×#14273706C2211yescharacteristic
19C2×C4×Dic118C2211yescharacteristic
20C22×C4⋊Dic59C2211yescharacteristic
21#16837629C418yescomplemented
22#16837502—24no—
23C2×#14273660—24no—
24C2×#14273660C2211yescharacteristic
25C2×#14273660C2211yescharacteristic
26C2×#14273660C2211yescharacteristic
27C2×#14273660C2211yescharacteristic
28C2×#14273658C2211yescharacteristic
29C2×#14273650C2211yescharacteristic
30C2×#14273650C2211yescharacteristic
31C2×#14273650C2211yescharacteristic
32C2×#14273648C2211yescharacteristic
33C2×#14273648C2211yescharacteristic
34C2×#14273648C2211yescharacteristic
35C2×C22⋊(C59⋊C8)C2211yescharacteristic
36C2×#14273638C2211yescharacteristic
37C2×#14273638C2211yescharacteristic
38#16837308C2211yescharacteristic
39#16837300C2211yescharacteristic
40#16837299—21no—
41#16837289—21no—
42#16837274—21no—
43C4×C4⋊Dic59C2211yescharacteristic
44C22⋊C4×Dic59—21no—
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837157C2211yescharacteristic
50#16837157C2211yescharacteristic
51C2×#121×C59C2211yescharacteristic
52C2×C4×D4×C59—21no—
53C2×C4×D4×C59C2211yescharacteristic
54C22×C4⋊C4×C59C2211yescharacteristic
55C59×#390C2211yescharacteristic
56C59×#389C2211yescharacteristic
57C59×#388—21no—
58C59×#386—21no—
59C59×#385—21no—
60C4×C4⋊C4×C59C2211yescharacteristic
61C4×C22⋊C4×C59C2211yescharacteristic
62C22×Dic118C2311yescharacteristic
63C23×Dic59—21no—
64C2×#11745670—22no—
65C2×#11745670—22no—
66C2×#11745670C2×C414yescomplemented
67C22×C59⋊C8—22no—
68C22×C59⋊C8—22no—
69C22×C59⋊C8C2×C414yescomplemented
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C22×C59⋊C8C2311yescharacteristic
74#14273706—22no—
75#14273706C2×C414yescomplemented
76C4×Dic118—22no—
77C4×Dic118—41no—
78C2×C4⋊Dic59—22no—
79C2×C4⋊Dic59—21no—
80C2×C4⋊Dic59—41no—
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C4⋊Dic59C2311yescharacteristic
84C2×Dic59⋊C4—21no—
85C2×Dic59⋊C4—21no—
86C2×Dic59⋊C4—21no—
87C2×C22⋊Dic59—21no—
88C2×C4×Dic59—21no—
89C2×C4×Dic59—21no—
90#14273660—22no—
91#14273660—22no—
92#14273660—22no—
93#14273660D414yescomplemented
94#14273658C2×C414yescomplemented
95#14273650—22no—
96#14273650—41no—
97#14273650C2×C414yescomplemented
98#14273648—22no—
99#14273648—41no—
100#14273648C2×C414yescomplemented
101C22⋊(C59⋊C8)—22no—
102#14273638—22no—
103#14273638—22no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C22×D4×C59—21no—
109C22×D4×C59C2311yescharacteristic
110C23×C4×C59—21no—
111C23×C4×C59—21no—
112C23×C4×C59C2311yescharacteristic
113#121×C59—22no—
114#121×C59C2×C414yes—
115C4×D4×C59—22no—
116C4×D4×C59—41no—
117C4×D4×C59—44no—
118C2×C4⋊C4×C59—22no—
119C2×C4⋊C4×C59—21no—
120C2×C4⋊C4×C59—21no—
121C2×C4⋊C4×C59—41no—
122C2×C4⋊C4×C59C2311yescharacteristic
123C2×C4⋊C4×C59C2311yescharacteristic
124C2×C4⋊C4×C59C2311yescharacteristic
125C2×C22⋊C4×C59—21no—
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59—21no—
128C2×C22⋊C4×C59—21no—
129C2×C22⋊C4×C59D411yescharacteristic
130C2×C22⋊C4×C59D411yescharacteristic
131C2×C42×C59—21no—
132C2×C42×C59C2311yescharacteristic
133C2×C42×C59C2311yescharacteristic
134#95×C59—21no—
135#95×C59—21no—
136#95×C59D411yescharacteristic
137#95×C59D411yescharacteristic
138C24×C59—21no—
139C24×C59C2×D411yescharacteristic
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—42no—
147C2×D4×C59—42no—
148C2×D4×C59C22×C412yes—
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—42no—
157C22×C4×C59—42no—
158C22×C4×C59—42no—
159C22×C4×C59—42no—
160C22×C4×C59—81no—
161C22×C4×C59—81no—
162C22×C4×C59C22×C412yes—
163C22×C4×C59C2×D411yescharacteristic
164C22×C4×C59C2×D411yescharacteristic
165C22×C4×C59C2×D411yescharacteristic
166C22×C4×C59C2×D411yescharacteristic
167C22×C4×C59C2×D411yescharacteristic
168C22×C4×C59#4112yes—
169C22×C4×C59C2411yescharacteristic
170C22×Dic59—21no—
171C22×Dic59—21no—
172C22×Dic59—21no—
173C22×Dic59—21no—
174C22×Dic59—42no—
175C22×Dic59—42no—
176C22×Dic59—81no—
177C2×Dic118—21no—
178C2×Dic118—21no—
179C2×Dic118—21no—
180C2×Dic118—21no—
181C2×Dic118—21no—
182C2×Dic118C22×C412yes—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—42no—
188C4⋊C4×C59—42no—
189C4⋊C4×C59C22×C412yes—
190C4⋊C4×C59C2×D412yes—
191C22⋊C4×C59—22no—
192C22⋊C4×C59—22no—
193C22⋊C4×C59—24no—
194C22⋊C4×C59—42no—
195C22⋊C4×C59—42no—
196C22⋊C4×C59—81no—
197C42×C59—21no—
198C42×C59—21no—
199C42×C59—21no—
200C42×C59—21no—
201C42×C59—42no—
202C22⋊Dic59—24no—
203#11745670—28no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59—42no—
209C4⋊Dic59C22×C412yes—
210C4⋊Dic59C2×D412yes—
211Dic59⋊C4—24no—
212Dic59⋊C4—42no—
213Dic59⋊C4—81no—
214C4×Dic59—42no—
215C4×Dic59—81no—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8—28no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8C22×C412yes—
226C2×C59⋊C8C22×C412yes—
227C2×C59⋊C8C2×D412yes—
228C2×C59⋊C8#4112yes—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59—21no—
232C23×C59—21no—
233C23×C59—22no—
234C23×C59—41no—
235C23×C59—41no—
236C23×C59—41no—
237C23×C59—41no—
238C23×C59—41no—
239C23×C59—41no—
240C23×C59C4×D412yes—
241C23×C59AGL(1,ℤ/8)12yes—
242C23×C59#13712yes—
243C23×C59C22×D411yescharacteristic
244D4×C59—22no—
245D4×C59—22no—
246D4×C59—48no—
247D4×C59—41no—
248D4×C59—41no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—22no—
254C2×C4×C59—22no—
255C2×C4×C59—22no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—22no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
264C2×C4×C59—21no—
265C2×C4×C59—21no—
266C2×C4×C59—21no—
267C2×C4×C59—21no—
268C2×C4×C59—21no—
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×C59C4×D412yes—
279C2×C4×C59C23×C411yescharacteristic
280C2×C4×C59C22×D411yescharacteristic
281C2×C4×C59C2×#4111yescharacteristic
282C2×C4×C59C2×#4111yescharacteristic
283C2×C4×C59H(5,𝔽2)11yescharacteristic
284C2×C4×C592−1+411yescharacteristic
285C2×Dic59—22no—
286C2×Dic59—22no—
287C2×Dic59—22no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296C2×Dic59—41no—
297C2×Dic59—84no—
298Dic118—22no—
299Dic118—22no—
300Dic118—41no—
301Dic118—41no—
302C59⋊C8—22no—
303C59⋊C8—41no—
304C59⋊C8—41no—
305C59⋊C8C4×D414yescomplemented
306#23032—591nomaximal, Sylow
307C22×C59—22no—
308C22×C59—22no—
309C22×C59—22no—
310C22×C59—22no—
311C22×C59—22no—
312C22×C59—22no—
313C22×C59—42no—
314C22×C59—42no—
315C22×C59—42no—
316C22×C59—81no—
317C22×C59—81no—
318C22×C59—81no—
319C22×C59—81no—
320C22×C59#44014yescomplemented
321C22×C59C2×C4×D411yescharacteristic
322C22×C59D4211yescharacteristic
323C22×C59#54711yescharacteristic
324C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
325C22×C59C2×#13711yescharacteristic
326C22×C59#57611yescharacteristic
327C22×C59#57811yescharacteristic
328C4×C59—22no—
329C4×C59—41no—
330C4×C59—41no—
331C4×C59—42no—
332C4×C59—41no—
333C4×C59—42no—
334C4×C59—41no—
335C4×C59—81no—
336C4×C59C2×C4×D411yescharacteristic
337C4×C59#52011yescharacteristic
338C4×C59#54811yescharacteristic
339C4×C59#55311yescharacteristic
340Dic59—42no—
341Dic59—42no—
342Dic59—42no—
343Dic59—81no—
344C2×#465—591no—
345C2×#440—591no—
346C22×#107—591no—
347#2361D5911yescharacteristic
348#2360—591no—
349#1973—591no—
350#1944—591no—
351#1928—591no—
352#1925—591no—
353#1874—591no—
354#1872—591no—
355#1863—591no—
356#1862—591no—
357#1776—591no—
358#1752—591no—
359C2×C59—24no—
360C2×C59—82no—
361C2×C59#236111yescharacteristic
362C2×C59C2×#44011yescharacteristic
363C2×C59#295111yescharacteristic
364C2×C59#326411yescharacteristic
365C2×C59#327011yescharacteristic
366C2×C59#334311yescharacteristic
367C2×C59#334611yescharacteristic
368C22×SD16—591no—
369C23×C8—591no—
370C2×C22⋊Q8—591no—
371C2×#121C2×D5911yescharacteristic
372C2×C4×Q8—591no—
373C2×C4×D4—21no—
374C2×C4×D4C2×D5911yescharacteristic
375C22×C4⋊C4—591no—
376C22×C4⋊C4C2×D5911yescharacteristic
377#465—598no—
378#440—1184no—
379C2×#107—591no—
380C2×#107—591no—
381C2×#107—591no—
382C2×#107—591no—
383C2×#107—1184no—
384C2×#106—591no—
385C2×#103—591no—
386C2×#103—591no—
387C2×#103—591no—
388C2×#102—591no—
389C2×#102—591no—
390C2×#102—591no—
391C2×C22⋊C8—591no—
392C2×#97—591no—
393C2×#97—591no—
394#391—591no—
395#390C2×D5911yescharacteristic
396#389—591no—
397#389—1181no—
398#389C2×D5911yescharacteristic
399#388—21no—
400#387—1181no—
401#386—21no—
402#385—21no—
403#385—1181no—
404C4×C4⋊C4—591no—
405C4×C4⋊C4C2×D5911yescharacteristic
406C4×C22⋊C4—1181no—
407C4×C22⋊C4C2×D5911yescharacteristic
408#340—591no—
409#340—591no—
410#340—591no—
411#340—591no—
412#336—591no—
413#336—591no—
414C59#2303211yescharacteristic, complemented, Sylow
415C22×Q8—591no—
416C22×D4—21no—
417C22×D4C22×D5911yescharacteristic
418C23×C4—21no—
419C23×C4—21no—
420C23×C4—1181no—
421C23×C4C22×D5911yescharacteristic
422C2×SD16—594no—
423C2×SD16—1182no—
424C2×SD16—1182no—
425C22×C8—591no—
426C22×C8—594no—
427C22×C8—591no—
428C22×C8—591no—
429C22×C8—591no—
430C22×C8—1182no—
431C22×C8—1182no—
432C22⋊Q8—594no—
433C22⋊Q8—1182no—
434#121—22no—
435#121C4×D5914yes—
436C4×Q8—1182no—
437C4×Q8—2361no—
438C4×D4—22no—
439C4×D4—41no—
440C4×D4—44no—
441C2×C4⋊C4—22no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—41no—
445C2×C4⋊C4—591no—
446C2×C4⋊C4—591no—
447C2×C4⋊C4—591no—
448C2×C4⋊C4—1182no—
449C2×C4⋊C4—1181no—
450C2×C4⋊C4—1181no—
451C2×C4⋊C4—1181no—
452C2×C4⋊C4—1181no—
453C2×C4⋊C4—2361no—
454C2×C4⋊C4C22×D5911yescharacteristic
455C2×C4⋊C4C22×D5911yescharacteristic
456C2×C4⋊C4C22×D5911yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—1181no—
462C2×C22⋊C4C22⋊D5911yescharacteristic
463C2×C22⋊C4C22⋊D5911yescharacteristic
464C2×C42—21no—
465C2×C42—1181no—
466C2×C42—1181no—
467C2×C42C22×D5911yescharacteristic
468C2×C42C22×D5911yescharacteristic
469#107—594no—
470#107—1182no—
471#107—1182no—
472#107—1182no—
473#106—594no—
474#103—594no—
475#103—1182no—
476#103—2361no—
477#102—594no—
478#102—1182no—
479#102—2361no—
480C22⋊C8—1182no—
481#97—1182no—
482#97—1182no—
483#95—21no—
484#95—21no—
485#95—1181no—
486#95—1181no—
487#95—1181no—
488#95—1181no—
489#95C22⋊D5911yescharacteristic
490#95C22⋊D5911yescharacteristic
491C24—21no—
492C24C2×C22⋊D5911yescharacteristic
493C2×Q8—592no—
494C2×Q8—1181no—
495C2×Q8—1181no—
496C2×Q8—1181no—
497C2×Q8—1181no—
498C2×Q8—1181no—
499C2×D4—24no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4C2×C4×D5912yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—81no—
520C22×C4—81no—
521C22×C4—1181no—
522C22×C4—1181no—
523C22×C4—1181no—
524C22×C4—1181no—
525C22×C4—4721no—
526C22×C4—2362no—
527C22×C4—2362no—
528C22×C4C2×C4×D5912yes—
529C22×C4#1174568512yes—
530C22×C4C2×C22⋊D5911yescharacteristic
531C22×C4C2×C22⋊D5911yescharacteristic
532C22×C4C2×C22⋊D5911yescharacteristic
533C22×C4C2×C22⋊D5911yescharacteristic
534C22×C4C2×C22⋊D5911yescharacteristic
535C22×C4C23×D5911yescharacteristic
536SD16—1188no—
537C2×C8—592no—
538C2×C8—592no—
539C2×C8—592no—
540C2×C8—592no—
541C2×C8—1188no—
542C2×C8—1181no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8—1181no—
546C2×C8—1181no—
547C2×C8—1181no—
548C2×C8—1181no—
549C2×C8—1181no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—592no—
557C4⋊C4—592no—
558C4⋊C4—1184no—
559C4⋊C4—1181no—
560C4⋊C4—1181no—
561C4⋊C4—1181no—
562C4⋊C4—1181no—
563C4⋊C4—4721no—
564C4⋊C4—2362no—
565C4⋊C4—2362no—
566C4⋊C4C2×C4×D5912yes—
567C4⋊C4D4×D5912yes—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C22⋊C4—24no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—81no—
574C22⋊C4—1184no—
575C42—21no—
576C42—21no—
577C42—21no—
578C42—21no—
579C42—42no—
580C42—4721no—
581C42—2362no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—22no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23C4×C22⋊D5912yes—
594C23#1427375312yes—
595C23#1427375712yes—
596C23C22×C22⋊D5911yescharacteristic
597Q8—1182no—
598Q8—1182no—
599Q8—2361no—
600Q8—2361no—
601D4—22no—
602D4—22no—
603D4—48no—
604D4—41no—
605D4—41no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—84no—
634C2×C4—84no—
635C2×C4—1182no—
636C2×C4—1182no—
637C2×C4—1182no—
638C2×C4—4724no—
639C2×C4—2361no—
640C2×C4—2361no—
641C2×C4—2361no—
642C2×C4—2361no—
643C2×C4—2361no—
644C2×C4—2361no—
645C2×C4—2361no—
646C2×C4—2361no—
647C2×C4—2361no—
648C2×C4C4×C22⋊D5912yes—
649C2×C4C22×C4×D5911yescharacteristic
650C2×C4C2×D4×D5911yescharacteristic
651C2×C4#41×D5911yescharacteristic
652C2×C4C2×#1174568511yescharacteristic
653C2×C4#1427377211yescharacteristic
654C2×C4#1427377411yescharacteristic
655C8—594no—
656C8—1182no—
657C8—2361no—
658C8—2361no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22#1683750214yescomplemented
673C22C2×C4×C22⋊D5911yescharacteristic
674C22D4×C22⋊D5911yescharacteristic
675C22#1683805111yescharacteristic
676C22C2×#1427375311yescharacteristic
677C22C2×#1427375711yescharacteristic
678C22#1683820511yescharacteristic
679C22#1683821711yescharacteristic
680C4—22no—
681C4—41no—
682C4—42no—
683C4—41no—
684C4—41no—
685C4—41no—
686C4—42no—
687C4—81no—
688C4—4721no—
689C4—2362no—
690C4—2362no—
691C4—2362no—
692C4C4×D4×D5911yescharacteristic
693C4#1683788111yescharacteristic
694C4#1683806111yescharacteristic
695C4#1683810111yescharacteristic
696C2—24no—
697C2—82no—
698C2#2142711311yescharacteristic
699C2C2×#1683750211yescharacteristic
700C2#2143296911yescharacteristic
701C2#2143557211yescharacteristic
702C2#2143566211yescharacteristic
703C2#2143653011yescharacteristic
704C2#2143658111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2361C2
socleC23×C59C22×D4
prime radicalC2×#121×C59C22
cosocleC22×C4×C59C24
hypercenter#2361D59
hypocenterC59#23032
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2361

Complements

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

NH ≅ G/Ntype
2. C2×#16837502C2semidirect
3. C22×#14273660C2semidirect
4. #21427099C2semidirect
5. #21424976C2semidirect
6. #21424836C2semidirect
7. #21424737C2semidirect
8. #21424713C2semidirect
10. #21424403C2semidirect
11. #21424349C2semidirect
12. #21424343C2semidirect
13. #21423994C2semidirect
14. #21423874C2semidirect
21. #16837629C4semidirect
66. C2×#11745670C2×C4semidirect
69. C22×C59⋊C8C2×C4semidirect
75. #14273706C2×C4semidirect
93. #14273660D4semidirect
94. #14273658C2×C4semidirect
97. #14273650C2×C4semidirect
100. #14273648C2×C4semidirect
305. C59⋊C8C4×D4semidirect
320. C22×C59#440semidirect
414. C59#23032semidirect
672. C22#16837502semidirect

Maximal subgroups

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

subgroupindex
C2×#168376292
C2×#168375022
C22×#142736602
#214270992
#214249762
#214248362
#214247372
#214247132
#214244142
#214244032
#214243492
#214243432
#214239942
#214238742
C59×#23612
#2303259