Finite Group Databasebeta

← #28510402

Subgroups — #28510402

Order 15104.

2118 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14273684C211yesmaximal, characteristic
2C2×C4×Dic59⋊C4C211yesmaximal, characteristic, complemented
3C2×C4×C4⋊Dic59C211yesmaximal, characteristic, complemented
4C2×C4×(C2×D59)⋊C4C211yesmaximal, characteristic
5C2×C4×(C2×D59)⋊C4C211yesmaximal, characteristic
6#21422360C212yesmaximal, complemented
7#21422351C212yesmaximal, complemented
8#21422342C212yesmaximal
9#21422340C212yesmaximal
10C4×C59⋊#95C211yesmaximal, characteristic, complemented
11C4×#95×C59C211yesmaximal, characteristic, complemented
12C23×C4×D59C2211yescharacteristic
13C2×#14273684—24no—
14C2×#14273684—24no—
15C2×#14273684—24no—
16C22×C4⋊Dic59C2212yes—
17C22×Dic59⋊C4C2212yes—
18C22×Dic59⋊C4C2212yes—
19C22×(C2×D59)⋊C4C2212yes—
20C22×(C2×D59)⋊C4C2212yes—
21C22×(C2×D59)⋊C4C2211yescharacteristic
22C22×(C2×D59)⋊C4C2211yescharacteristic
23C22×C4×Dic59C2211yescharacteristic
24C22×C4×Dic59C2211yescharacteristic
25C22×C4×Dic59C2211yescharacteristic
26C4×Dic59⋊C4—24no—
27C4×C4⋊Dic59—24no—
28C4×(C2×D59)⋊C4—24no—
29C4×(C2×D59)⋊C4C418yescomplemented
30C2×C59⋊#95C2212yes—
31C2×C59⋊#95C2212yes—
32C2×C59⋊#95C2212yes—
33C2×C59⋊#95C2212yes—
34C2×C59⋊#95C2212yes—
35C2×C59⋊#95C2211yescharacteristic
36C2×C59⋊#95C2211yescharacteristic
37C22×C42×C59C2211yescharacteristic
38C22×C42×C59C2211yescharacteristic
39C22×C42×C59C2211yescharacteristic
40C2×#95×C59C2212yes—
41C2×#95×C59C2212yes—
42C24×D59C2311yescharacteristic
43C23×Dic59C2311yescharacteristic
44C23×Dic59C2312yes—
45C23×Dic59C2312yes—
46C23×Dic59C2311yescharacteristic
47C23×Dic59C2311yescharacteristic
48C22×C4×D59—22no—
49C22×C4×D59—22no—
50C22×C4×D59—22no—
51C22×C4×D59—22no—
52C22×C4×D59C2×C414yes—
53C22×C4×D59D414yes—
54C22×C4×D59Q814yes—
55#14273684—232no—
56C2×C4⋊Dic59—24no—
57C2×C4⋊Dic59—24no—
58C2×C4⋊Dic59—24no—
59C2×Dic59⋊C4—24no—
60C2×Dic59⋊C4—24no—
61C2×Dic59⋊C4—24no—
62C2×Dic59⋊C4—24no—
63C2×Dic59⋊C4—24no—
64C2×Dic59⋊C4—24no—
65C2×(C2×D59)⋊C4—24no—
66C2×(C2×D59)⋊C4—24no—
67C2×(C2×D59)⋊C4—24no—
68C2×(C2×D59)⋊C4—24no—
69C2×(C2×D59)⋊C4—24no—
70C2×(C2×D59)⋊C4—24no—
71C2×(C2×D59)⋊C4—24no—
72C2×(C2×D59)⋊C4—24no—
73C2×(C2×D59)⋊C4C2×C414yes—
74C2×(C2×D59)⋊C4C2×C414yes—
75C2×C4×Dic59—22no—
76C2×C4×Dic59—22no—
77C2×C4×Dic59—22no—
78C2×C4×Dic59—22no—
79C2×C4×Dic59—22no—
80C2×C4×Dic59—22no—
81C2×C4×Dic59—22no—
82C2×C4×Dic59C2×C414yes—
83C2×C4×Dic59D414yes—
84C59⋊#95—24no—
85C59⋊#95—24no—
86C59⋊#95—24no—
87C59⋊#95—24no—
88C59⋊#95—24no—
89C59⋊#95C2×C414yes—
90C59⋊#95C2×C414yes—
91C23×C4×C59C2311yescharacteristic
92C23×C4×C59C2312yes—
93C23×C4×C59C2312yes—
94C23×C4×C59C2311yescharacteristic
95C23×C4×C59C2311yescharacteristic
96C2×C42×C59—22no—
97C2×C42×C59—22no—
98C2×C42×C59—22no—
99C2×C42×C59—22no—
100C2×C42×C59—22no—
101C2×C42×C59—22no—
102C2×C42×C59—22no—
103C2×C42×C59C2×C414yes—
104C2×C42×C59D414yes—
105#95×C59—24no—
106#95×C59—24no—
107C24×C59C2411yescharacteristic
108C23×D59—21no—
109C23×D59—21no—
110C23×D59—22no—
111C23×D59—22no—
112C23×D59—22no—
113C23×D59—22no—
114C23×D59—21no—
115C23×D59—21no—
116C23×D59C22×C412yes—
117C23×D59C2×D412yes—
118C23×D59C2×Q812yes—
119C22×C4×C59—21no—
120C22×C4×C59—21no—
121C22×C4×C59—22no—
122C22×C4×C59—21no—
123C22×C4×C59—22no—
124C22×C4×C59—22no—
125C22×C4×C59—22no—
126C22×C4×C59—22no—
127C22×C4×C59—22no—
128C22×C4×C59—22no—
129C22×C4×C59—22no—
130C22×C4×C59—21no—
131C22×C4×C59—22no—
132C22×C4×C59—22no—
133C22×C4×C59—22no—
134C22×C4×C59—22no—
135C22×C4×C59—22no—
136C22×C4×C59—22no—
137C22×C4×C59—22no—
138C22×C4×C59C22×C412yes—
139C22×C4×C59C22×C412yes—
140C22×C4×C59C22×C412yes—
141C22×C4×C59C2×D414yes—
142C22×C4×C59C2×D412yes—
143C22×C4×C59C2×D412yes—
144C22×C4×C59C2×D412yes—
145C22×C4×C59C2×Q812yes—
146C22×C4×C59#4114yes—
147C22×C4×C59#4114yes—
148C22×C4×C59#4112yes—
149C22×C4×C59#4112yes—
150C22×Dic59—21no—
151C22×Dic59—21no—
152C22×Dic59—21no—
153C22×Dic59—21no—
154C22×Dic59—22no—
155C22×Dic59—21no—
156C22×Dic59—21no—
157C22×Dic59—21no—
158C22×Dic59—22no—
159C22×Dic59—22no—
160C22×Dic59—22no—
161C22×Dic59—22no—
162C22×Dic59—22no—
163C22×Dic59—22no—
164C22×Dic59—22no—
165C22×Dic59—22no—
166C22×Dic59—21no—
167C22×Dic59—22no—
168C22×Dic59—22no—
169C22×Dic59—22no—
170C22×Dic59—22no—
171C22×Dic59—22no—
172C22×Dic59—22no—
173C22×Dic59C22×C412yes—
174C22×Dic59C22×C412yes—
175C22×Dic59C22×C412yes—
176C22×Dic59C2×D414yes—
177C22×Dic59C2×D412yes—
178C22×Dic59C2×Q812yes—
179C22×Dic59#4114yes—
180C22×Dic59#4114yes—
181C2×C4×D59—28no—
182C2×C4×D59—28no—
183C2×C4×D59—28no—
184C2×C4×D59—28no—
185C2×C4×D59—28no—
186C2×C4×D59—28no—
187C2×C4×D59C4⋊C4116yescomplemented
188C42×C59—28no—
189C42×C59—28no—
190C42×C59—44no—
191(C2×D59)⋊C4—216no—
192(C2×D59)⋊C4—216no—
193(C2×D59)⋊C4—28no—
194(C2×D59)⋊C4—28no—
195C4⋊Dic59—216no—
196Dic59⋊C4—216no—
197Dic59⋊C4—216no—
198C4×Dic59—28no—
199C4×Dic59—28no—
200C4×Dic59—44no—
201C23×C59C23×C411yescharacteristic
202C23×C59C22×D411yescharacteristic
203C23×C59C22×D411yescharacteristic
204C23×C59C22×D411yescharacteristic
205C23×C59C22×Q811yescharacteristic
206C23×C59C2×#4112yes—
207C23×C59C2×#4112yes—
208C23×C59C2×#4111yescharacteristic
209C23×C59C2×#4112yes—
210C23×C59C2×#4111yescharacteristic
211C23×C59C2×#4112yes—
212C22×D59—22no—
213C22×D59—22no—
214C22×D59—22no—
215C22×D59—22no—
216C22×D59—22no—
217C22×D59—22no—
218C22×D59—22no—
219C22×D59—22no—
220C22×D59—22no—
221C22×D59—22no—
222C22×D59—24no—
223C22×D59—24no—
224C22×D59—24no—
225C22×D59—24no—
226C22×D59—42no—
227C22×D59—42no—
228C22×D59—42no—
229C22×D59—42no—
230C22×D59—42no—
231C22×D59—42no—
232C22×D59—42no—
233C22×D59—42no—
234C22×D59C2×C4⋊C414yes—
235C2×C4×C59—22no—
236C2×C4×C59—22no—
237C2×C4×C59—24no—
238C2×C4×C59—24no—
239C2×C4×C59—22no—
240C2×C4×C59—22no—
241C2×C4×C59—22no—
242C2×C4×C59—24no—
243C2×C4×C59—24no—
244C2×C4×C59—24no—
245C2×C4×C59—24no—
246C2×C4×C59—24no—
247C2×C4×C59—24no—
248C2×C4×C59—42no—
249C2×C4×C59—42no—
250C2×C4×C59—42no—
251C2×C4×C59—42no—
252C2×C4×C59—42no—
253C2×C4×C59—42no—
254C2×C4×C59—42no—
255C2×C4×C59—42no—
256C2×C4×C59—42no—
257C2×C4×C59—42no—
258C2×C4×C59C2×C4⋊C414yes—
259C2×C4×C59#11714yescomplemented
260C2×C4×C59C4×D414yes—
261C2×C4×C59C4×D414yes—
262C2×C4×C59#12014yes—
263C2×C4×C59C22⋊Q814yes—
264C2×C4×C59C22⋊Q814yes—
265C2×C4×C59#12314yes—
266C2×Dic59—22no—
267C2×Dic59—22no—
268C2×Dic59—22no—
269C2×Dic59—22no—
270C2×Dic59—22no—
271C2×Dic59—22no—
272C2×Dic59—22no—
273C2×Dic59—22no—
274C2×Dic59—24no—
275C2×Dic59—24no—
276C2×Dic59—22no—
277C2×Dic59—22no—
278C2×Dic59—22no—
279C2×Dic59—24no—
280C2×Dic59—24no—
281C2×Dic59—24no—
282C2×Dic59—24no—
283C2×Dic59—24no—
284C2×Dic59—24no—
285C2×Dic59—42no—
286C2×Dic59—42no—
287C2×Dic59—42no—
288C2×Dic59—42no—
289C2×Dic59—42no—
290C2×Dic59—42no—
291C2×Dic59—42no—
292C2×Dic59—42no—
293C2×Dic59—42no—
294C2×Dic59—42no—
295C2×Dic59C2×C4⋊C414yes—
296C2×Dic59#11714yescomplemented
297C4×D59—232no—
298#13844—591nomaximal, Sylow
299C22×C59C22×C4⋊C411yescharacteristic
300C22×C59C2×#11711yescharacteristic
301C22×C59C2×#11711yescharacteristic
302C22×C59C2×C4×D411yescharacteristic
303C22×C59C2×C4×D411yescharacteristic
304C22×C59C4×#4111yescharacteristic
305C22×C59C4×#4111yescharacteristic
306C22×C59C2×#12011yescharacteristic
307C22×C59C2×C22⋊Q811yescharacteristic
308C22×C59C2×C22⋊Q811yescharacteristic
309C22×C59C2×#12311yescharacteristic
310C22×C59#52512yes—
311C22×C59#52512yes—
312C22×C59#52512yes—
313C22×C59#52912yes—
314C22×C59#52912yes—
315C22×C59#52912yes—
316C22×C59#52912yes—
317C22×C59#53212yes—
318C22×C59#53212yes—
319C22×C59#53212yes—
320C22×C59#53312yes—
321C22×C59#53312yes—
322C2×D59—24no—
323C2×D59—24no—
324C2×D59—24no—
325C2×D59—44no—
326C2×D59—44no—
327C2×D59—44no—
328C2×D59—44no—
329C2×D59—42no—
330C2×D59—42no—
331C2×D59—42no—
332C2×D59—42no—
333C4×C59—24no—
334C4×C59—44no—
335C4×C59—44no—
336C4×C59—42no—
337C4×C59#38518yes—
338Dic59—24no—
339Dic59—24no—
340Dic59—44no—
341Dic59—44no—
342Dic59—42no—
343C22×#117—591no—
344C2×C4×C4⋊C4—591no—
345C2×C4×C4⋊C4—591no—
346C2×C4×C22⋊C4—591no—
347C2×C4×C22⋊C4—591no—
348#1444—592no—
349#1442—592no—
350#1439—592no—
351#1439—592no—
352C4×#95—591no—
353C4×#95D5911yescharacteristic, complemented
354C2×C59#228511yescharacteristic
355C2×C59C2×#38511yescharacteristic
356C2×C59#229011yescharacteristic
357C2×C59#229011yescharacteristic
358C2×C59#229311yescharacteristic
359C2×C59#229311yescharacteristic
360C2×C59#229611yescharacteristic
361C2×C59#238812yes—
362C2×C59#239512yes—
363C2×C59#239612yes—
364C2×C59#239612yes—
365D59—44no—
366C24×C4—591no—
367C2×#117—1184no—
368C2×#117—1184no—
369C2×#117—1184no—
370C22×C4⋊C4—592no—
371C22×C4⋊C4—592no—
372C22×C4⋊C4—592no—
373C22×C22⋊C4—591no—
374C22×C22⋊C4—591no—
375C22×C22⋊C4—592no—
376C22×C22⋊C4—592no—
377C22×C42—591no—
378C22×C42—591no—
379C22×C42—591no—
380C22×C42C2×D5911yescharacteristic
381C22×C42C2×D5911yescharacteristic
382C22×C42C2×D5911yescharacteristic
383C4×C4⋊C4—1184no—
384C4×C4⋊C4—1184no—
385C4×C22⋊C4—598no—
386C4×C22⋊C4—1184no—
387C2×#95—591no—
388C2×#95—591no—
389C2×#95—592no—
390C2×#95—592no—
391C2×#95—592no—
392C2×#95—592no—
393C2×#95—592no—
394C2×#95C2×D5912yes—
395C2×#95C2×D5912yes—
396C59#1384411yescharacteristic, complemented, Sylow
397C25—591no—
398C23×C4—591no—
399C23×C4—591no—
400C23×C4—594no—
401C23×C4—594no—
402C23×C4—594no—
403C23×C4—592no—
404C23×C4—592no—
405C23×C4—591no—
406C23×C4—1182no—
407C23×C4—1182no—
408C23×C4—1182no—
409C23×C4—1182no—
410C23×C4C22×D5911yescharacteristic
411C23×C4C22×D5912yes—
412C23×C4C22×D5912yes—
413C23×C4C22×D5911yescharacteristic
414C23×C4C22×D5911yescharacteristic
415#117—11832no—
416C2×C4⋊C4—1184no—
417C2×C4⋊C4—1184no—
418C2×C4⋊C4—1184no—
419C2×C4⋊C4—1184no—
420C2×C4⋊C4—1184no—
421C2×C4⋊C4—1184no—
422C2×C4⋊C4—1184no—
423C2×C4⋊C4—1184no—
424C2×C4⋊C4—1184no—
425C2×C22⋊C4—594no—
426C2×C22⋊C4—594no—
427C2×C22⋊C4—1184no—
428C2×C22⋊C4—1184no—
429C2×C22⋊C4—1184no—
430C2×C22⋊C4—1184no—
431C2×C22⋊C4—1184no—
432C2×C22⋊C4—1184no—
433C2×C22⋊C4—1184no—
434C2×C22⋊C4—1184no—
435C2×C42—22no—
436C2×C42—22no—
437C2×C42—22no—
438C2×C42—22no—
439C2×C42—22no—
440C2×C42—22no—
441C2×C42—22no—
442C2×C42—594no—
443C2×C42—594no—
444C2×C42—1182no—
445C2×C42—1182no—
446C2×C42—1182no—
447C2×C42—1182no—
448C2×C42—1182no—
449C2×C42—1182no—
450C2×C42—1182no—
451C2×C42C4×D5914yes—
452C2×C42D23614yes—
453#95—24no—
454#95—24no—
455#95—594no—
456#95—594no—
457#95—1184no—
458#95—1184no—
459#95—1184no—
460#95—1184no—
461#95—1184no—
462C24—592no—
463C24—592no—
464C24—592no—
465C24—1181no—
466C24—1181no—
467C24—1182no—
468C24—1182no—
469C24—1181no—
470C24—1182no—
471C24—1182no—
472C24—1181no—
473C24C23×D5911yescharacteristic
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—592no—
494C22×C4—592no—
495C22×C4—592no—
496C22×C4—592no—
497C22×C4—594no—
498C22×C4—5916no—
499C22×C4—592no—
500C22×C4—594no—
501C22×C4—594no—
502C22×C4—1181no—
503C22×C4—1181no—
504C22×C4—1181no—
505C22×C4—1182no—
506C22×C4—1181no—
507C22×C4—1181no—
508C22×C4—1181no—
509C22×C4—1188no—
510C22×C4—1188no—
511C22×C4—1188no—
512C22×C4—1188no—
513C22×C4—1188no—
514C22×C4—1188no—
515C22×C4—1182no—
516C22×C4—1182no—
517C22×C4—1182no—
518C22×C4—1181no—
519C22×C4—1182no—
520C22×C4—1182no—
521C22×C4—1182no—
522C22×C4—1182no—
523C22×C4—1182no—
524C22×C4—1182no—
525C22×C4—1182no—
526C22×C4—1181no—
527C22×C4—1182no—
528C22×C4—1182no—
529C22×C4—1182no—
530C22×C4—1182no—
531C22×C4C2×C4×D5912yes—
532C22×C4C2×C4×D5912yes—
533C22×C4C2×C4×D5912yes—
534C22×C4C2×D23614yes—
535C22×C4C2×D23612yes—
536C22×C4#1174568514yes—
537C22×C4#1174568514yes—
538C22×C4#1174568512yes—
539C22×C4D4×D5912yes—
540C22×C4D4×D5912yes—
541C22×C4#1174568712yes—
542C22×C4Q8×D5912yes—
543C4⋊C4—11816no—
544C4⋊C4—11816no—
545C4⋊C4—11816no—
546C22⋊C4—1188no—
547C22⋊C4—11816no—
548C22⋊C4—11816no—
549C22⋊C4—1188no—
550C42—28no—
551C42—28no—
552C42—44no—
553C42—1188no—
554C42—1188no—
555C42—2364no—
556C23—594no—
557C23—1182no—
558C23—1182no—
559C23—1182no—
560C23—1182no—
561C23—1184no—
562C23—1184no—
563C23—1184no—
564C23—1184no—
565C23—1182no—
566C23—1182no—
567C23—1182no—
568C23—1182no—
569C23—1182no—
570C23—1182no—
571C23—2362no—
572C23—2362no—
573C23—2362no—
574C23—2362no—
575C23—2362no—
576C23—2362no—
577C23—2362no—
578C23—2362no—
579C23C22×C4×D5911yescharacteristic
580C23C2×D4×D5911yescharacteristic
581C23C2×D4×D5911yescharacteristic
582C23C22×D23611yescharacteristic
583C23C2×Q8×D5911yescharacteristic
584C23#41×D5912yes—
585C23#41×D5912yes—
586C23C2×#1174568711yescharacteristic
587C23C2×#1174568511yescharacteristic
588C23C2×#1174568512yes—
589C23C2×#1174568512yes—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—594no—
614C2×C4—594no—
615C2×C4—1182no—
616C2×C4—1182no—
617C2×C4—1182no—
618C2×C4—1182no—
619C2×C4—1184no—
620C2×C4—1184no—
621C2×C4—1182no—
622C2×C4—1182no—
623C2×C4—1182no—
624C2×C4—1182no—
625C2×C4—11832no—
626C2×C4—1184no—
627C2×C4—1184no—
628C2×C4—1184no—
629C2×C4—1184no—
630C2×C4—1184no—
631C2×C4—1184no—
632C2×C4—1182no—
633C2×C4—1182no—
634C2×C4—1182no—
635C2×C4—2362no—
636C2×C4—2362no—
637C2×C4—2362no—
638C2×C4—2362no—
639C2×C4—2362no—
640C2×C4—2362no—
641C2×C4—2362no—
642C2×C4—2362no—
643C2×C4—2362no—
644C2×C4—2362no—
645C2×C4C4⋊C4×D5914yes—
646C2×C4#1427368414yescomplemented
647C2×C4(C22⋊D59)⋊C414yes—
648C2×C4C4×D23614yes—
649C2×C4#1427369714yes—
650C2×C4#1427370514yes—
651C2×C4#1427370714yes—
652C2×C4#1427370914yes—
653C22—1184no—
654C22—1184no—
655C22—1184no—
656C22—2362no—
657C22—2362no—
658C22—2364no—
659C22—2362no—
660C22—2362no—
661C22—2364no—
662C22—2364no—
663C22—2364no—
664C22C2×C4⋊C4×D5911yescharacteristic
665C22#117×D5911yescharacteristic
666C22C2×#1427368411yescharacteristic
667C22C2×(C22⋊D59)⋊C411yescharacteristic
668C22C2×C4×D23611yescharacteristic
669C22#1683787011yescharacteristic
670C22C4×#1174568511yescharacteristic
671C22C2×#1427369711yescharacteristic
672C22C2×#1427370511yescharacteristic
673C22C2×#1427370711yescharacteristic
674C22C2×#1427370911yescharacteristic
675C22#1683791112yes—
676C22#1683791112yes—
677C22#1683791412yes—
678C22#1683793012yes—
679C22#1683793212yes—
680C22#1683793212yes—
681C22#1683793612yes—
682C22#1683794912yes—
683C22#1683794912yes—
684C22#1683795212yes—
685C22#1683795612yes—
686C22#1683795612yes—
687C4—24no—
688C4—44no—
689C4—42no—
690C4—44no—
691C4—1184no—
692C4—1184no—
693C4—2364no—
694C4—2364no—
695C4—2362no—
696C4#1683727618yes—
697C2—2364no—
698C2#2142650011yescharacteristic
699C2C2×#1683727611yescharacteristic
700C2#2142653511yescharacteristic
701C2#2142654011yescharacteristic
702C2#2142655911yescharacteristic
703C2#2142656011yescharacteristic
704C2#2142657611yescharacteristic
705C2#2142731212yes—
706C2#2142735712yes—
707C2#2142736812yes—
708C2#2142737212yes—
subgroupG/H
centerC23×C4C22×D59
commutatorC23×C59C23×C4
FrattiniC24C23×D59
FittingC4×#95×C59C2
socle, cosocleC24×C59C24
prime radicalC24×D59C23
hypercenterC4×#95D59
hypocenterC59#13844
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23×C4 ◁ C4×#95

Complements

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

NH ≅ G/Ntype
2. C2×C4×Dic59⋊C4C2semidirect
3. C2×C4×C4⋊Dic59C2semidirect
6. #21422360C2semidirect
7. #21422351C2semidirect
10. C4×C59⋊#95C2semidirect
11. C4×#95×C59C2semidirect
29. C4×(C2×D59)⋊C4C4semidirect
187. C2×C4×D59C4⋊C4semidirect
259. C2×C4×C59#117semidirect
296. C2×Dic59#117semidirect
353. C4×#95D59semidirect
396. C59#13844semidirect
646. C2×C4#14273684semidirect

Maximal subgroups

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

subgroupindex
C22×#142736842
C2×C4×Dic59⋊C42
C2×C4×C4⋊Dic592
C2×C4×(C2×D59)⋊C42
#214223602
#214223512
#214223422
#214223402
C4×C59⋊#952
C4×#95×C592
#1384459