Finite Group Databasebeta

← #15868192

Subgroups — #15868192

Order 3328.

1134 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
1C2×#11718658C211yesmaximal, characteristic, complemented
2#13117445C211yesmaximal, characteristic, complemented
3#13115810C211yesmaximal, characteristic, complemented
4#13115798C211yesmaximal, characteristic, complemented
5#13115653C211yesmaximal, characteristic, complemented
6#13115648C211yesmaximal, characteristic, complemented
7#13115275C211yesmaximal, characteristic
8#13115270C211yesmaximal, characteristic, complemented
9#13115265C211yesmaximal, characteristic
10#13115260C211yesmaximal, characteristic, complemented
11#13114666C211yesmaximal, characteristic, complemented
12#13114661C211yesmaximal, characteristic, complemented
13C4×#88075C211yesmaximal, characteristic, complemented
14C4×#88072C211yesmaximal, characteristic, complemented
15C2×C13×#542C211yesmaximal, characteristic
16C13×#542—24no—
17C13×#542C418yescomplemented
18C2×C13×C4⋊Q8C2211yescharacteristic
19C2×C13×#126—21no—
20C2×C13×#124—21no—
21C2×C13×#124C2211yescharacteristic
22C2×C13×#123—21no—
23C2×C13×C22⋊Q8—21no—
24C2×C13×C22⋊Q8C2211yescharacteristic
25C2×C13×#121C2211yescharacteristic
26C2×C4×Q8×C13C2211yescharacteristic
27C2×C4×D4×C13C2211yescharacteristic
28C2×C13×#117C2211yescharacteristic
29C22×#6099C2211yescharacteristic
30C23×#1055C2211yescharacteristic
31C2×#88075C2211yescharacteristic
32C2×#88075C2211yescharacteristic
33C2×#88075C2211yescharacteristic
34C2×#88075C2211yescharacteristic
35C2×#88072C2211yescharacteristic
36C2×#88072C2211yescharacteristic
37C2×#88072C2211yescharacteristic
38C2×#88072C2211yescharacteristic
39#11718873C2211yescharacteristic
40#11718873C2211yescharacteristic
41#11718658—24no—
42#11718642—21no—
43#11718642—21no—
44#11718612—21no—
45#11718612—21no—
46#11718597C2211yescharacteristic
47#11718596C2211yescharacteristic
48C4×C4⋊Dic13C2211yescharacteristic
49C4×C4⋊Dic13C2211yescharacteristic
50C2×#88043C2211yescharacteristic
51C2×#88043C2211yescharacteristic
52C2×C4×#1055C2211yescharacteristic
53C2×C4×#1055C2211yescharacteristic
54#11718121C2211yescharacteristic
55#11718121C2211yescharacteristic
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718121C2211yescharacteristic
61#11718121C2211yescharacteristic
62C22×Q8×C13—21no—
63C22×Q8×C13C2311yescharacteristic
64C22×D4×C13—21no—
65C22×D4×C13C2311yescharacteristic
66C23×C4×C13—21no—
67C23×C4×C13C2311yescharacteristic
68C13×C4⋊Q8—22no—
69C13×C4⋊Q8C2×C414yes—
70C13×#126—28no—
71C13×#124—28no—
72C13×#124—22no—
73C13×#124C2×C414yes—
74C13×#123—28no—
75C13×C22⋊Q8—22no—
76C13×C22⋊Q8—28no—
77C13×C22⋊Q8C2×C414yes—
78C13×#121—22no—
79C13×#121C2×C414yes—
80C4×Q8×C13—22no—
81C4×Q8×C13C2×C414yes—
82C4×D4×C13—22no—
83C4×D4×C13C2×C414yes—
84C13×#117C2×C414yes—
85C13×#117D414yes—
86C2×C13×C4⋊C4—21no—
87C2×C13×C4⋊C4—21no—
88C2×C13×C4⋊C4—21no—
89C2×C13×C4⋊C4D411yescharacteristic
90C2×C13×C4⋊C4D411yescharacteristic
91C2×C13×C4⋊C4C2311yescharacteristic
92C2×C13×C4⋊C4C2311yescharacteristic
93C2×C13×C22⋊C4—21no—
94C2×C13×C22⋊C4—21no—
95C2×C13×C22⋊C4—21no—
96C2×C13×C22⋊C4—21no—
97C2×C13×C22⋊C4—21no—
98C2×C13×C22⋊C4D411yescharacteristic
99C2×C13×C22⋊C4D411yescharacteristic
100C2×C42×C13—21no—
101C2×C42×C13C2311yescharacteristic
102C2×C42×C13C2311yescharacteristic
103C2×C22⋊Dic13—21no—
104C2×C22⋊Dic13—21no—
105C2×C4⋊Dic13—21no—
106C2×C4⋊Dic13—21no—
107C2×C4⋊Dic13C2311yescharacteristic
108C2×C4⋊Dic13C2311yescharacteristic
109C2×C4⋊Dic13C2311yescharacteristic
110C2×C4⋊Dic13C2311yescharacteristic
111C2×C4×Dic13—21no—
112C2×C4×Dic13—21no—
113C2×#6099—22no—
114C2×#6099—22no—
115C2×#6099—22no—
116C22×#1055—22no—
117C22×#1055—22no—
118C22×#1055—22no—
119C22×#1055C2311yescharacteristic
120C22×#1055C2311yescharacteristic
121C22×#1055C2311yescharacteristic
122C22×#1055C2311yescharacteristic
123#88075—22no—
124#88075—22no—
125#88075—22no—
126#88075—22no—
127#88072—22no—
128#88072—22no—
129#88072—22no—
130#88072—22no—
131#88071—21no—
132#88071—21no—
133#88071—21no—
134#88071—21no—
135#88071—21no—
136#88071—21no—
137#88043—22no—
138#88043—22no—
139C4×#1055—22no—
140C4×#1055—22no—
141#21412—131nomaximal, Sylow
142C24×C13—21no—
143C24×C13C2×D411yescharacteristic
144C2×Q8×C13—24no—
145C2×Q8×C13—21no—
146C2×Q8×C13—21no—
147C2×Q8×C13—21no—
148C2×Q8×C13—21no—
149C2×Q8×C13—21no—
150C2×Q8×C13—81no—
151C2×Q8×C13—81no—
152C2×Q8×C13C22×C412yes—
153C2×D4×C13—24no—
154C2×D4×C13—21no—
155C2×D4×C13—21no—
156C2×D4×C13—21no—
157C2×D4×C13—21no—
158C2×D4×C13—21no—
159C2×D4×C13—81no—
160C2×D4×C13—81no—
161C2×D4×C13C22×C412yes—
162C22×C4×C13—21no—
163C22×C4×C13—21no—
164C22×C4×C13—21no—
165C22×C4×C13—21no—
166C22×C4×C13—21no—
167C22×C4×C13—21no—
168C22×C4×C13—21no—
169C22×C4×C13—24no—
170C22×C4×C13—81no—
171C22×C4×C13—81no—
172C22×C4×C13C22×C412yes—
173C22×C4×C13C2×D411yescharacteristic
174C22×C4×C13C2×D411yescharacteristic
175C22×C4×C13C2×D411yescharacteristic
176C22×C4×C13C2×D411yescharacteristic
177C22×C4×C13C2×D411yescharacteristic
178C22×C4×C13C2×D412yes—
179C22×C4×C13C2411yescharacteristic
180C22×Dic13—21no—
181C22×Dic13—21no—
182C22×Dic13—21no—
183C22×Dic13—21no—
184C13×C4⋊C4—24no—
185C13×C4⋊C4—24no—
186C13×C4⋊C4—24no—
187C13×C4⋊C4—21no—
188C13×C4⋊C4—21no—
189C13×C4⋊C4C22⋊C414yes—
190C13×C4⋊C4C22⋊C414yes—
191C13×C4⋊C4C22×C412yes—
192C13×C4⋊C4C22×C412yes—
193C13×C22⋊C4—24no—
194C13×C22⋊C4—24no—
195C13×C22⋊C4—24no—
196C13×C22⋊C4—24no—
197C13×C22⋊C4—24no—
198C13×C22⋊C4C22⋊C414yes—
199C13×C22⋊C4C22⋊C414yes—
200C42×C13—24no—
201C42×C13C22×C412yes—
202C42×C13C22×C412yes—
203C42×C13C2×D412yes—
204C42×C13C2×D412yes—
205C22⋊Dic13—81no—
206C22⋊Dic13—81no—
207C4⋊Dic13—21no—
208C4⋊Dic13—21no—
209C4⋊Dic13—21no—
210C4⋊Dic13—21no—
211C4⋊Dic13—21no—
212C4⋊Dic13—21no—
213C4⋊Dic13—21no—
214C4⋊Dic13—21no—
215C4⋊Dic13—81no—
216C4⋊Dic13—81no—
217C4×Dic13—81no—
218C4×Dic13—81no—
219#6099—28no—
220C2×#1055—28no—
221C2×#1055—21no—
222C2×#1055—21no—
223C2×#1055—21no—
224C2×#1055—21no—
225C2×#1055—21no—
226C2×#1055—21no—
227C2×#1055—21no—
228C2×#1055—21no—
229C2×#1055#4112yes—
230C2×#1055#4112yes—
231C2×#1055#4112yes—
232C2×#1055#4112yes—
233C2×#542D1311yescharacteristic
234C2×#405—131no—
235#2314—131no—
236#1993—131no—
237#1990—131no—
238#1959—131no—
239#1958—131no—
240#1895—131no—
241#1894—131no—
242#1893—131no—
243#1892—131no—
244#1763—131no—
245#1762—131no—
246C4×#103—131no—
247C4×#102—131no—
248C23×C13—21no—
249C23×C13—21no—
250C23×C13—21no—
251C23×C13—21no—
252C23×C13—21no—
253C23×C13—21no—
254C23×C13—22no—
255C23×C13—41no—
256C23×C13—41no—
257C23×C13—41no—
258C23×C13—41no—
259C23×C13—41no—
260C23×C13—41no—
261C23×C13C2×C22⋊C412yes—
262C23×C13C22×D411yescharacteristic
263Q8×C13—22no—
264Q8×C13—22no—
265Q8×C13—41no—
266Q8×C13—41no—
267Q8×C13—84no—
268D4×C13—22no—
269D4×C13—22no—
270D4×C13—41no—
271D4×C13—41no—
272D4×C13—84no—
273C2×C4×C13—21no—
274C2×C4×C13—21no—
275C2×C4×C13—21no—
276C2×C4×C13—21no—
277C2×C4×C13—21no—
278C2×C4×C13—21no—
279C2×C4×C13—21no—
280C2×C4×C13—21no—
281C2×C4×C13—21no—
282C2×C4×C13—21no—
283C2×C4×C13—22no—
284C2×C4×C13—22no—
285C2×C4×C13—22no—
286C2×C4×C13—22no—
287C2×C4×C13—22no—
288C2×C4×C13—22no—
289C2×C4×C13—22no—
290C2×C4×C13—41no—
291C2×C4×C13—41no—
292C2×C4×C13—41no—
293C2×C4×C13—41no—
294C2×C4×C13—41no—
295C2×C4×C13—41no—
296C2×C4×C13—84no—
297C2×C4×C13C2×C22⋊C412yes—
298C2×C4×C13C2×C22⋊C412yes—
299C2×C4×C13C2×C22⋊C412yes—
300C2×C4×C13C2×C22⋊C412yes—
301C2×C4×C13C2×C22⋊C412yes—
302C2×C4×C13C23×C411yescharacteristic
303C2×C4×C13C22×D411yescharacteristic
304C2×C4×C13C2×#4111yescharacteristic
305C2×C4×C13C2×#4111yescharacteristic
306C2×C4×C13C2×#4111yescharacteristic
307C2×C4×C13C2×#4111yescharacteristic
308C2×Dic13—41no—
309C2×Dic13—41no—
310C2×Dic13—41no—
311C2×Dic13—41no—
312C2×Dic13—41no—
313C2×Dic13—41no—
314C2×Dic13—41no—
315C2×Dic13—41no—
316C2×Dic13—41no—
317C2×Dic13—41no—
318C2×Dic13—41no—
319C2×Dic13—41no—
320#1055—22no—
321#1055—22no—
322#1055—22no—
323#1055—22no—
324C22×M16—131no—
325C23×C8—131no—
326#542—24no—
327#542Dic1318yescomplemented
328C2×C4⋊Q8C2×D1311yescharacteristic
329C2×#126—21no—
330C2×#124—21no—
331C2×#124C2×D1311yescharacteristic
332C2×#123—21no—
333C2×C22⋊Q8—21no—
334C2×C22⋊Q8C2×D1311yescharacteristic
335C2×#121C2×D1311yescharacteristic
336C2×C4×Q8C2×D1311yescharacteristic
337C2×C4×D4C2×D1311yescharacteristic
338C2×#117C2×D1311yescharacteristic
339C2×#103—131no—
340C2×#103—131no—
341C2×#103—131no—
342C2×#103—131no—
343C2×#102—131no—
344C2×#102—131no—
345C2×#102—131no—
346C2×#102—131no—
347#405—264no—
348C2×#97—131no—
349C2×#97—131no—
350C2×C4×C8—131no—
351C2×C4×C8—131no—
352#388—261no—
353#388—261no—
354#387—261no—
355#387—261no—
356#384—131no—
357#382—131no—
358#380—131no—
359#380—131no—
360C4×C4⋊C4—131no—
361C4×C4⋊C4—131no—
362#340—131no—
363#340—131no—
364#340—131no—
365#340—131no—
366#340—131no—
367#340—131no—
368#340—131no—
369#340—131no—
370C22×C13—22no—
371C22×C13—22no—
372C22×C13—22no—
373C22×C13—41no—
374C22×C13—41no—
375C22×C13—41no—
376C22×C13—41no—
377C22×C13—42no—
378C22×C13—42no—
379C22×C13—42no—
380C22×C13—81no—
381C22×C13—81no—
382C22×C13—81no—
383C22×C13—81no—
384C22×C13C22×C22⋊C411yescharacteristic
385C22×C13#53211yescharacteristic
386C22×C13#53211yescharacteristic
387C22×C13#57611yescharacteristic
388C22×C13#57711yescharacteristic
389C22×C13#57711yescharacteristic
390C22×C13#57811yescharacteristic
391C4×C13—22no—
392C4×C13—22no—
393C4×C13—22no—
394C4×C13—22no—
395C4×C13—22no—
396C4×C13—42no—
397C4×C13—42no—
398C4×C13—42no—
399C4×C13C4×#4111yescharacteristic
400C4×C13C4×#4111yescharacteristic
401C4×C13#52511yescharacteristic
402C4×C13#52511yescharacteristic
403Dic13—81no—
404Dic13—81no—
405Dic13—81no—
406Dic13—81no—
407C22×Q8—21no—
408C22×Q8C22×D1311yescharacteristic
409C22×D4—21no—
410C22×D4C22×D1311yescharacteristic
411C23×C4—21no—
412C23×C4C22×D1311yescharacteristic
413C2×M16—262no—
414C2×M16—262no—
415C2×M16—262no—
416C22×C8—131no—
417C22×C8—131no—
418C22×C8—131no—
419C22×C8—131no—
420C22×C8—262no—
421C22×C8—262no—
422C22×C8—262no—
423C4⋊Q8—22no—
424C4⋊Q8C2×Dic1314yes—
425#126—28no—
426#124—28no—
427#124—22no—
428#124C2×Dic1314yes—
429#123—28no—
430C22⋊Q8—22no—
431C22⋊Q8—28no—
432C22⋊Q8C2×Dic1314yes—
433#121—22no—
434#121C2×Dic1314yes—
435C4×Q8—22no—
436C4×Q8C2×Dic1314yes—
437C4×D4—22no—
438C4×D4C2×Dic1314yes—
439#117C2×Dic1314yes—
440#117C22⋊D1314yes—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—131no—
445C2×C4⋊C4—131no—
446C2×C4⋊C4—131no—
447C2×C4⋊C4—131no—
448C2×C4⋊C4—261no—
449C2×C4⋊C4—261no—
450C2×C4⋊C4C22⋊D1311yescharacteristic
451C2×C4⋊C4C22⋊D1311yescharacteristic
452C2×C4⋊C4C22×D1311yescharacteristic
453C2×C4⋊C4C22×D1311yescharacteristic
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—261no—
460C2×C22⋊C4—261no—
461C2×C22⋊C4C22⋊D1311yescharacteristic
462C2×C22⋊C4C22⋊D1311yescharacteristic
463C2×C42—21no—
464C2×C42—261no—
465C2×C42—261no—
466C2×C42C22×D1311yescharacteristic
467C2×C42C22×D1311yescharacteristic
468#103—262no—
469#103—262no—
470#103—262no—
471#103—262no—
472#102—262no—
473#102—262no—
474#102—262no—
475#102—262no—
476#97—262no—
477#97—262no—
478C4×C8—262no—
479C4×C8—262no—
480#95—261no—
481#95—261no—
482#95—261no—
483#95—261no—
484#95—261no—
485#95—261no—
486C2×C13—42no—
487C2×C13—82no—
488C2×C13#229711yescharacteristic
489C2×C13#289711yescharacteristic
490C2×C13#289811yescharacteristic
491C2×C13#317311yescharacteristic
492C2×C13#317511yescharacteristic
493C2×C13#317811yescharacteristic
494C2×C13#317911yescharacteristic
495C24—21no—
496C24C2×C22⋊D1311yescharacteristic
497C2×Q8—24no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—81no—
504C2×Q8—81no—
505C2×Q8C22×Dic1312yes—
506C2×D4—24no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—81no—
513C2×D4—81no—
514C2×D4C22×Dic1312yes—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—24no—
523C22×C4—81no—
524C22×C4—81no—
525C22×C4—261no—
526C22×C4—261no—
527C22×C4—261no—
528C22×C4—261no—
529C22×C4C22×Dic1312yes—
530C22×C4C2×C22⋊D1311yescharacteristic
531C22×C4C2×C22⋊D1311yescharacteristic
532C22×C4C2×C22⋊D1311yescharacteristic
533C22×C4C2×C22⋊D1311yescharacteristic
534C22×C4C2×C22⋊D1311yescharacteristic
535C22×C4C2×C22⋊D1312yes—
536C22×C4C23×D1311yescharacteristic
537M16—268no—
538C2×C8—132no—
539C2×C8—132no—
540C2×C8—132no—
541C2×C8—132no—
542C2×C8—268no—
543C2×C8—261no—
544C2×C8—261no—
545C2×C8—261no—
546C2×C8—261no—
547C2×C8—261no—
548C2×C8—261no—
549C2×C8—261no—
550C2×C8—261no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—261no—
557C4⋊C4—261no—
558C4⋊C4—261no—
559C4⋊C4—261no—
560C4⋊C4—261no—
561C4⋊C4—261no—
562C4⋊C4—261no—
563C4⋊C4—261no—
564C4⋊C4—1041no—
565C4⋊C4—1041no—
566C4⋊C4C22⋊Dic1314yes—
567C4⋊C4C22⋊Dic1314yes—
568C4⋊C4C22×Dic1312yes—
569C4⋊C4C22×Dic1312yes—
570C22⋊C4—24no—
571C22⋊C4—24no—
572C22⋊C4—24no—
573C22⋊C4—24no—
574C22⋊C4—24no—
575C22⋊C4—1041no—
576C22⋊C4—1041no—
577C22⋊C4C22⋊Dic1314yes—
578C22⋊C4C22⋊Dic1314yes—
579C42—24no—
580C42—1041no—
581C42—1041no—
582C42C22×Dic1312yes—
583C42C22×Dic1312yes—
584C42C2×C22⋊D1312yes—
585C42C2×C22⋊D1312yes—
586C13#2141211yescharacteristic, complemented, Sylow
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—22no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23C2×C22⋊Dic1312yes—
601C23C22×C22⋊D1311yescharacteristic
602Q8—22no—
603Q8—22no—
604Q8—41no—
605Q8—41no—
606Q8—84no—
607D4—22no—
608D4—22no—
609D4—41no—
610D4—41no—
611D4—84no—
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—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—84no—
636C2×C4—521no—
637C2×C4—521no—
638C2×C4—521no—
639C2×C4—521no—
640C2×C4—521no—
641C2×C4—521no—
642C2×C4—521no—
643C2×C4—521no—
644C2×C4—521no—
645C2×C4—521no—
646C2×C4—521no—
647C2×C4—521no—
648C2×C4C2×C22⋊Dic1312yes—
649C2×C4C2×C22⋊Dic1312yes—
650C2×C4C2×C22⋊Dic1312yes—
651C2×C4C2×C22⋊Dic1312yes—
652C2×C4C2×C22⋊Dic1312yes—
653C2×C4#41×D1311yescharacteristic
654C2×C4#41×D1311yescharacteristic
655C2×C4#41×D1311yescharacteristic
656C2×C4#41×D1311yescharacteristic
657C2×C4C23×Dic1311yescharacteristic
658C2×C4C22×C22⋊D1311yescharacteristic
659C8—262no—
660C8—262no—
661C8—262no—
662C8—262no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—42no—
671C22—42no—
672C22—42no—
673C22—81no—
674C22—81no—
675C22—81no—
676C22—81no—
677C22#1171953711yescharacteristic
678C22#1171953711yescharacteristic
679C22#1171954011yescharacteristic
680C22#1171954111yescharacteristic
681C22#1171954211yescharacteristic
682C22#1171954311yescharacteristic
683C22C22×C22⋊Dic1311yescharacteristic
684C4—22no—
685C4—22no—
686C4—22no—
687C4—22no—
688C4—22no—
689C4—42no—
690C4—42no—
691C4—42no—
692C4—1041no—
693C4—1041no—
694C4—1041no—
695C4—1041no—
696C4#41×Dic1311yescharacteristic
697C4#41×Dic1311yescharacteristic
698C4#1171953311yescharacteristic
699C4#1171953311yescharacteristic
700C2—42no—
701C2—82no—
702C2#1311732711yescharacteristic
703C2#1312336211yescharacteristic
704C2#1312336911yescharacteristic
705C2#1312544711yescharacteristic
706C2#1312546911yescharacteristic
707C2#1312549811yescharacteristic
708C2#1312551311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC2×C13×#542C2
socleC23×C13C22×D4
prime radicalC2×C13×#121C22
cosocleC22×C4×C13C24
hypercenterC2×#542D13
hypocenterC13#21412
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. C2×#11718658C2semidirect
2. #13117445C2semidirect
3. #13115810C2semidirect
4. #13115798C2semidirect
5. #13115653C2semidirect
6. #13115648C2semidirect
8. #13115270C2semidirect
10. #13115260C2semidirect
11. #13114666C2semidirect
12. #13114661C2semidirect
13. C4×#88075C2semidirect
14. C4×#88072C2semidirect
17. C13×#542C4semidirect
327. #542Dic13semidirect
586. C13#21412semidirect

Maximal subgroups

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

subgroupindex
C2×#117186582
#131174452
#131158102
#131157982
#131156532
#131156482
#131152752
#131152702
#131152652
#131152602
#131146662
#131146612
C4×#880752
C4×#880722
C2×C13×#5422
#2141213