Finite Group Databasebeta

← #27406682

Subgroups — #27406682

Order 13568.

1066 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×#16810850C211yesmaximal, characteristic
2C2×C4×#11719923C211yesmaximal, characteristic, complemented
3C22×#13133148C211yesmaximal, characteristic, complemented
4#20277718C211yesmaximal, characteristic, complemented
5#20275568C211yesmaximal, characteristic, complemented
6#20275440C211yesmaximal, characteristic, complemented
7#20275349C211yesmaximal, characteristic, complemented
8#20275339C211yesmaximal, characteristic, complemented
9#20275033C211yesmaximal, characteristic
10#20275022C211yesmaximal, characteristic, complemented
11#20274982C211yesmaximal, characteristic, complemented
12#20274976C211yesmaximal, characteristic, complemented
13C4×#13133148C211yesmaximal, characteristic, complemented
14C22⋊C4×#88322C211yesmaximal, characteristic, complemented
15C53×#2361C211yesmaximal, characteristic
16C22×#11719923C2211yescharacteristic
17C23×#88322C2211yescharacteristic
18C2×#13133196C2211yescharacteristic
19C2×C4×Dic106C2211yescharacteristic
20C22×C4⋊Dic53C2211yescharacteristic
21#16810850C418yescomplemented
22C4×#11719923—24no—
23C2×#13133148—24no—
24C2×#13133148C2211yescharacteristic
25C2×#13133148C2211yescharacteristic
26C2×#13133148C2211yescharacteristic
27C2×#13133148C2211yescharacteristic
28C2×#13133148C2211yescharacteristic
29C2×#13133140C2211yescharacteristic
30C2×#13133140C2211yescharacteristic
31C2×#13133140C2211yescharacteristic
32C2×#13133138C2211yescharacteristic
33C2×#13133138C2211yescharacteristic
34C2×#13133138C2211yescharacteristic
35C2×C22⋊#88322C2211yescharacteristic
36C2×C4×#88322C2211yescharacteristic
37C2×C4×#88322C2211yescharacteristic
38#16810529C2211yescharacteristic
39#16810521C2211yescharacteristic
40#16810520—21no—
41#16810510—21no—
42#16810495—21no—
43C4×C4⋊Dic53C2211yescharacteristic
44C22⋊C4×Dic53—21no—
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810385C2211yescharacteristic
49#16810378C2211yescharacteristic
50#16810378C2211yescharacteristic
51C2×#121×C53C2211yescharacteristic
52C2×C4×D4×C53—21no—
53C2×C4×D4×C53C2211yescharacteristic
54C22×C4⋊C4×C53C2211yescharacteristic
55C53×#390C2211yescharacteristic
56C53×#389C2211yescharacteristic
57C53×#388—21no—
58C53×#386—21no—
59C53×#385—21no—
60C4×C4⋊C4×C53C2211yescharacteristic
61C4×C22⋊C4×C53C2211yescharacteristic
62C22×Dic106C2311yescharacteristic
63C23×Dic53—21no—
64C2×#11719923—22no—
65C2×#11719923—22no—
66C2×#11719923C2×C414yescomplemented
67C22×#88322—22no—
68C22×#88322—22no—
69C22×#88322C2×C414yescomplemented
70C22×#88322C2311yescharacteristic
71C22×#88322C2311yescharacteristic
72C22×#88322C2311yescharacteristic
73C22×#88322C2311yescharacteristic
74#13133196—22no—
75#13133196C2×C414yescomplemented
76C4×Dic106—22no—
77C4×Dic106—41no—
78C2×C4⋊Dic53—21no—
79C2×C4⋊Dic53—22no—
80C2×C4⋊Dic53—41no—
81C2×C4⋊Dic53C2311yescharacteristic
82C2×C4⋊Dic53C2311yescharacteristic
83C2×C4⋊Dic53C2311yescharacteristic
84C2×#11719919—21no—
85C2×#11719919—21no—
86C2×#11719919—21no—
87C2×C22⋊Dic53—21no—
88C2×C4×Dic53—21no—
89C2×C4×Dic53—21no—
90#13133148—22no—
91#13133148—22no—
92#13133148—22no—
93#13133148C2×C414yescomplemented
94#13133148D414yescomplemented
95#13133140—22no—
96#13133140—41no—
97#13133140C2×C414yescomplemented
98#13133138—22no—
99#13133138—41no—
100#13133138C2×C414yescomplemented
101C22⋊#88322—22no—
102C4×#88322—22no—
103C4×#88322—22no—
104#13133124—21no—
105#13133124—21no—
106#13133124—21no—
107#13133124—21no—
108C22×D4×C53—21no—
109C22×D4×C53C2311yescharacteristic
110C23×C4×C53—21no—
111C23×C4×C53—21no—
112C23×C4×C53C2311yescharacteristic
113#121×C53—22no—
114#121×C53C2×C414yes—
115C4×D4×C53—22no—
116C4×D4×C53—41no—
117C4×D4×C53—44no—
118C2×C4⋊C4×C53—21no—
119C2×C4⋊C4×C53—21no—
120C2×C4⋊C4×C53—22no—
121C2×C4⋊C4×C53—41no—
122C2×C4⋊C4×C53C2311yescharacteristic
123C2×C4⋊C4×C53C2311yescharacteristic
124C2×C4⋊C4×C53C2311yescharacteristic
125C2×C22⋊C4×C53—21no—
126C2×C22⋊C4×C53—21no—
127C2×C22⋊C4×C53—21no—
128C2×C22⋊C4×C53—21no—
129C2×C22⋊C4×C53D411yescharacteristic
130C2×C22⋊C4×C53D411yescharacteristic
131C2×C42×C53—21no—
132C2×C42×C53C2311yescharacteristic
133C2×C42×C53C2311yescharacteristic
134#95×C53—21no—
135#95×C53—21no—
136#95×C53D411yescharacteristic
137#95×C53D411yescharacteristic
138C24×C53—21no—
139C24×C53C2×D411yescharacteristic
140C2×D4×C53—24no—
141C2×D4×C53—21no—
142C2×D4×C53—21no—
143C2×D4×C53—21no—
144C2×D4×C53—21no—
145C2×D4×C53—21no—
146C2×D4×C53—42no—
147C2×D4×C53—42no—
148C2×D4×C53C22×C412yes—
149C22×C4×C53—21no—
150C22×C4×C53—21no—
151C22×C4×C53—21no—
152C22×C4×C53—21no—
153C22×C4×C53—21no—
154C22×C4×C53—21no—
155C22×C4×C53—21no—
156C22×C4×C53—42no—
157C22×C4×C53—42no—
158C22×C4×C53—42no—
159C22×C4×C53—42no—
160C22×C4×C53—81no—
161C22×C4×C53—81no—
162C22×C4×C53C22×C412yes—
163C22×C4×C53C2×D411yescharacteristic
164C22×C4×C53C2×D411yescharacteristic
165C22×C4×C53C2×D411yescharacteristic
166C22×C4×C53C2×D411yescharacteristic
167C22×C4×C53C2×D411yescharacteristic
168C22×C4×C53#4112yes—
169C22×C4×C53C2411yescharacteristic
170C22×Dic53—21no—
171C22×Dic53—21no—
172C22×Dic53—21no—
173C22×Dic53—21no—
174C22×Dic53—42no—
175C22×Dic53—42no—
176C22×Dic53—81no—
177C2×Dic106—21no—
178C2×Dic106—21no—
179C2×Dic106—21no—
180C2×Dic106—21no—
181C2×Dic106—21no—
182C2×Dic106C22×C412yes—
183C4⋊C4×C53—21no—
184C4⋊C4×C53—21no—
185C4⋊C4×C53—21no—
186C4⋊C4×C53—21no—
187C4⋊C4×C53—42no—
188C4⋊C4×C53—42no—
189C4⋊C4×C53C22×C412yes—
190C4⋊C4×C53C2×D412yes—
191C22⋊C4×C53—22no—
192C22⋊C4×C53—24no—
193C22⋊C4×C53—42no—
194C22⋊C4×C53—42no—
195C22⋊C4×C53—81no—
196C22⋊C4×C53SD1614yescomplemented
197C42×C53—21no—
198C42×C53—21no—
199C42×C53—21no—
200C42×C53—21no—
201C42×C53—42no—
202C22⋊Dic53—24no—
203#11719923—28no—
204C4⋊Dic53—21no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53—21no—
208C4⋊Dic53—42no—
209C4⋊Dic53C22×C412yes—
210C4⋊Dic53C2×D412yes—
211#11719919—24no—
212#11719919—42no—
213#11719919—81no—
214C4×Dic53—42no—
215C4×Dic53—81no—
216C2×#88322—21no—
217C2×#88322—21no—
218C2×#88322—28no—
219C2×#88322—21no—
220C2×#88322—21no—
221C2×#88322—21no—
222C2×#88322—21no—
223C2×#88322—21no—
224C2×#88322—21no—
225C2×#88322C22×C412yes—
226C2×#88322C22×C412yes—
227C2×#88322C2×D412yes—
228C2×#88322#4112yes—
229C23×C53—21no—
230C23×C53—21no—
231C23×C53—21no—
232C23×C53—21no—
233C23×C53—22no—
234C23×C53—41no—
235C23×C53—41no—
236C23×C53—41no—
237C23×C53—41no—
238C23×C53—41no—
239C23×C53—41no—
240C23×C53C4×D412yes—
241C23×C53C2×SD1612yes—
242C23×C53#13512yes—
243C23×C53C22×D411yescharacteristic
244D4×C53—22no—
245D4×C53—22no—
246D4×C53—48no—
247D4×C53—41no—
248D4×C53—41no—
249C2×C4×C53—21no—
250C2×C4×C53—21no—
251C2×C4×C53—21no—
252C2×C4×C53—21no—
253C2×C4×C53—21no—
254C2×C4×C53—21no—
255C2×C4×C53—22no—
256C2×C4×C53—22no—
257C2×C4×C53—22no—
258C2×C4×C53—22no—
259C2×C4×C53—22no—
260C2×C4×C53—22no—
261C2×C4×C53—21no—
262C2×C4×C53—21no—
263C2×C4×C53—21no—
264C2×C4×C53—21no—
265C2×C4×C53—21no—
266C2×C4×C53—21no—
267C2×C4×C53—41no—
268C2×C4×C53—41no—
269C2×C4×C53—41no—
270C2×C4×C53—41no—
271C2×C4×C53—41no—
272C2×C4×C53—41no—
273C2×C4×C53—41no—
274C2×C4×C53—84no—
275C2×C4×C53—84no—
276C2×C4×C53C4×D412yes—
277C2×C4×C53C2×SD1612yes—
278C2×C4×C53C2×SD1612yes—
279C2×C4×C53C23×C411yescharacteristic
280C2×C4×C53C22×D411yescharacteristic
281C2×C4×C53C2×#4111yescharacteristic
282C2×C4×C53C2×#4111yescharacteristic
283C2×C4×C53H(5,𝔽2)11yescharacteristic
284C2×C4×C532−1+411yescharacteristic
285C2×Dic53—22no—
286C2×Dic53—22no—
287C2×Dic53—22no—
288C2×Dic53—41no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—41no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294C2×Dic53—41no—
295C2×Dic53—41no—
296C2×Dic53—41no—
297C2×Dic53—84no—
298Dic106—22no—
299Dic106—22no—
300Dic106—41no—
301Dic106—41no—
302#88322—22no—
303#88322—41no—
304#88322—41no—
305#88322C4×D414yescomplemented
306#23022—531nomaximal, Sylow
307C22×C53—22no—
308C22×C53—22no—
309C22×C53—22no—
310C22×C53—22no—
311C22×C53—22no—
312C22×C53—22no—
313C22×C53—42no—
314C22×C53—42no—
315C22×C53—42no—
316C22×C53—81no—
317C22×C53—81no—
318C22×C53—81no—
319C22×C53—81no—
320C22×C53C4×SD1614yescomplemented
321C22×C53C2×C4×D411yescharacteristic
322C22×C53D4211yescharacteristic
323C22×C53#54711yescharacteristic
324C22×C53C22×SD1611yescharacteristic
325C22×C53C2×#13511yescharacteristic
326C22×C53#57711yescharacteristic
327C22×C53#57711yescharacteristic
328C4×C53—22no—
329C4×C53—22no—
330C4×C53—22no—
331C4×C53—41no—
332C4×C53—42no—
333C4×C53—42no—
334C4×C53—41no—
335C4×C53—81no—
336C4×C53C2×C4×D411yescharacteristic
337C4×C53#52011yescharacteristic
338C4×C53#54811yescharacteristic
339C4×C53#55311yescharacteristic
340Dic53—42no—
341Dic53—42no—
342Dic53—42no—
343Dic53—81no—
344C2×#465—531no—
345C2×C4×SD16—531no—
346C22×#106—531no—
347#2361D5311yescharacteristic
348#2360—531no—
349#1968—531no—
350#1941—531no—
351#1927—531no—
352#1926—531no—
353#1874—531no—
354#1872—531no—
355#1865—531no—
356#1864—531no—
357C4×#106—531no—
358C8×C22⋊C4—531no—
359C2×C53—24no—
360C2×C53—82no—
361C2×C53#236111yescharacteristic
362C2×C53C2×C4×SD1611yescharacteristic
363C2×C53#295211yescharacteristic
364C2×C53D4×SD1611yescharacteristic
365C2×C53#328211yescharacteristic
366C2×C53#333511yescharacteristic
367C2×C53#333711yescharacteristic
368C22×SD16—531no—
369C23×C8—531no—
370C2×C22⋊Q8—531no—
371C2×#121C2×D5311yescharacteristic
372C2×C4×Q8—531no—
373C2×C4×D4—21no—
374C2×C4×D4C2×D5311yescharacteristic
375C22×C4⋊C4—531no—
376C22×C4⋊C4C2×D5311yescharacteristic
377#465—538no—
378C4×SD16—1064no—
379C2×#106—531no—
380C2×#106—531no—
381C2×#106—531no—
382C2×#106—531no—
383C2×#106—531no—
384C2×#106—1064no—
385C2×#103—531no—
386C2×#103—531no—
387C2×#103—531no—
388C2×#102—531no—
389C2×#102—531no—
390C2×#102—531no—
391C2×C22⋊C8—531no—
392C2×C4×C8—531no—
393C2×C4×C8—531no—
394#391—531no—
395#390C2×D5311yescharacteristic
396#389—531no—
397#389—1061no—
398#389C2×D5311yescharacteristic
399#388—21no—
400#387—1061no—
401#386—21no—
402#385—21no—
403#385—1061no—
404C4×C4⋊C4—531no—
405C4×C4⋊C4C2×D5311yescharacteristic
406C4×C22⋊C4—1061no—
407C4×C22⋊C4C2×D5311yescharacteristic
408#340—531no—
409#340—531no—
410#340—531no—
411#340—531no—
412#336—531no—
413#336—531no—
414C53#2302211yescharacteristic, complemented, Sylow
415C22×Q8—531no—
416C22×D4—21no—
417C22×D4C22×D5311yescharacteristic
418C23×C4—21no—
419C23×C4—21no—
420C23×C4—1061no—
421C23×C4C22×D5311yescharacteristic
422C2×SD16—534no—
423C2×SD16—1062no—
424C2×SD16—1062no—
425C22×C8—531no—
426C22×C8—534no—
427C22×C8—531no—
428C22×C8—531no—
429C22×C8—531no—
430C22×C8—1062no—
431C22×C8—1062no—
432C22⋊Q8—534no—
433C22⋊Q8—1062no—
434#121—22no—
435#121C4×D5314yes—
436C4×Q8—1062no—
437C4×Q8—2121no—
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—531no—
446C2×C4⋊C4—531no—
447C2×C4⋊C4—531no—
448C2×C4⋊C4—1062no—
449C2×C4⋊C4—1061no—
450C2×C4⋊C4—1061no—
451C2×C4⋊C4—1061no—
452C2×C4⋊C4—1061no—
453C2×C4⋊C4—2121no—
454C2×C4⋊C4C22×D5311yescharacteristic
455C2×C4⋊C4C22×D5311yescharacteristic
456C2×C4⋊C4C22×D5311yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—1061no—
462C2×C22⋊C4C22⋊D5311yescharacteristic
463C2×C22⋊C4C22⋊D5311yescharacteristic
464C2×C42—21no—
465C2×C42—1061no—
466C2×C42—1061no—
467C2×C42C22×D5311yescharacteristic
468C2×C42C22×D5311yescharacteristic
469#106—534no—
470#106—534no—
471#106—1062no—
472#106—1062no—
473#106—1062no—
474#103—534no—
475#103—1062no—
476#103—2121no—
477#102—534no—
478#102—1062no—
479#102—2121no—
480C22⋊C8—1062no—
481C4×C8—1062no—
482C4×C8—1062no—
483#95—21no—
484#95—21no—
485#95—1061no—
486#95—1061no—
487#95—1061no—
488#95—1061no—
489#95C22⋊D5311yescharacteristic
490#95C22⋊D5311yescharacteristic
491C24—21no—
492C24C2×C22⋊D5311yescharacteristic
493C2×Q8—532no—
494C2×Q8—1061no—
495C2×Q8—1061no—
496C2×Q8—1061no—
497C2×Q8—1061no—
498C2×Q8—1061no—
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×D5312yes—
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—1061no—
522C22×C4—1061no—
523C22×C4—1061no—
524C22×C4—1061no—
525C22×C4—4241no—
526C22×C4—2122no—
527C22×C4—2122no—
528C22×C4C2×C4×D5312yes—
529C22×C4#1171994512yes—
530C22×C4C2×C22⋊D5311yescharacteristic
531C22×C4C2×C22⋊D5311yescharacteristic
532C22×C4C2×C22⋊D5311yescharacteristic
533C22×C4C2×C22⋊D5311yescharacteristic
534C22×C4C2×C22⋊D5311yescharacteristic
535C22×C4C23×D5311yescharacteristic
536SD16—1068no—
537C2×C8—532no—
538C2×C8—532no—
539C2×C8—532no—
540C2×C8—532no—
541C2×C8—1068no—
542C2×C8—1061no—
543C2×C8—1061no—
544C2×C8—1061no—
545C2×C8—1061no—
546C2×C8—1061no—
547C2×C8—1061no—
548C2×C8—1061no—
549C2×C8—1061no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—532no—
557C4⋊C4—532no—
558C4⋊C4—1064no—
559C4⋊C4—1061no—
560C4⋊C4—1061no—
561C4⋊C4—1061no—
562C4⋊C4—1061no—
563C4⋊C4—4241no—
564C4⋊C4—2122no—
565C4⋊C4—2122no—
566C4⋊C4C2×C4×D5312yes—
567C4⋊C4D4×D5312yes—
568C22⋊C4—22no—
569C22⋊C4—24no—
570C22⋊C4—42no—
571C22⋊C4—42no—
572C22⋊C4—81no—
573C22⋊C4—1064no—
574C22⋊C4#1171992314yescomplemented
575C42—21no—
576C42—21no—
577C42—21no—
578C42—21no—
579C42—42no—
580C42—4241no—
581C42—2122no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—22no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23C4×C22⋊D5312yes—
594C23C2×#1171992312yes—
595C23#1313323712yes—
596C23C22×C22⋊D5311yescharacteristic
597Q8—1062no—
598Q8—1062no—
599Q8—2121no—
600Q8—2121no—
601D4—22no—
602D4—22no—
603D4—48no—
604D4—41no—
605D4—41no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—84no—
632C2×C4—84no—
633C2×C4—1062no—
634C2×C4—1062no—
635C2×C4—1062no—
636C2×C4—4244no—
637C2×C4—2121no—
638C2×C4—2121no—
639C2×C4—2121no—
640C2×C4—2121no—
641C2×C4—2121no—
642C2×C4—2121no—
643C2×C4—2121no—
644C2×C4—2121no—
645C2×C4—2121no—
646C2×C4C4×C22⋊D5312yes—
647C2×C4C2×#1171992312yes—
648C2×C4C2×#1171992312yes—
649C2×C4C22×C4×D5311yescharacteristic
650C2×C4C2×D4×D5311yescharacteristic
651C2×C4#41×D5311yescharacteristic
652C2×C4C2×#1171994511yescharacteristic
653C2×C4#1313326211yescharacteristic
654C2×C4#1313326411yescharacteristic
655C8—534no—
656C8—1062no—
657C8—2121no—
658C8—2121no—
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—
672C22C4×#1171992314yescomplemented
673C22C2×C4×C22⋊D5311yescharacteristic
674C22D4×C22⋊D5311yescharacteristic
675C22#1681127211yescharacteristic
676C22C22×#1171992311yescharacteristic
677C22C2×#1313323711yescharacteristic
678C22#1681143111yescharacteristic
679C22#1681143411yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—42no—
684C4—41no—
685C4—42no—
686C4—41no—
687C4—81no—
688C4—4241no—
689C4—2122no—
690C4—2122no—
691C4—2122no—
692C4C4×D4×D5311yescharacteristic
693C4#1681110211yescharacteristic
694C4#1681128211yescharacteristic
695C4#1681132211yescharacteristic
696C2—24no—
697C2—82no—
698C2#2027773211yescharacteristic
699C2C2×C4×#1171992311yescharacteristic
700C2#2028359611yescharacteristic
701C2D4×#1171992311yescharacteristic
702C2#2028642311yescharacteristic
703C2#2028707211yescharacteristic
704C2#2028708811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#2361C2
socleC23×C53C22×D4
prime radicalC2×#121×C53C22
cosocleC22×C4×C53C24
hypercenter#2361D53
hypocenterC53#23022
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2361

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11719923C2semidirect
3. C22×#13133148C2semidirect
4. #20277718C2semidirect
5. #20275568C2semidirect
6. #20275440C2semidirect
7. #20275349C2semidirect
8. #20275339C2semidirect
10. #20275022C2semidirect
11. #20274982C2semidirect
12. #20274976C2semidirect
13. C4×#13133148C2semidirect
14. C22⋊C4×#88322C2semidirect
21. #16810850C4semidirect
66. C2×#11719923C2×C4semidirect
69. C22×#88322C2×C4semidirect
75. #13133196C2×C4semidirect
93. #13133148C2×C4semidirect
94. #13133148D4semidirect
97. #13133140C2×C4semidirect
100. #13133138C2×C4semidirect
196. C22⋊C4×C53SD16semidirect
305. #88322C4×D4semidirect
320. C22×C53C4×SD16semidirect
414. C53#23022semidirect
574. C22⋊C4#11719923semidirect
672. C22C4×#11719923semidirect

Maximal subgroups

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

subgroupindex
C2×#168108502
C2×C4×#117199232
C22×#131331482
#202777182
#202755682
#202754402
#202753492
#202753392
#202750332
#202750222
#202749822
#202749762
C4×#131331482
C22⋊C4×#883222
C53×#23612
#2302253