Finite Group Databasebeta

← #15786650

Subgroups — #15786650

Order 3328.

1586 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718646C211yesmaximal, characteristic
2C2×#11718646C211yesmaximal, characteristic
3C2×#11718589C211yesmaximal, characteristic
4C2×#11718589C212yesmaximal
5C2×C4×#6101C211yesmaximal, characteristic
6#13113092C212yesmaximal
7#13113088C212yesmaximal
8#13113069C212yesmaximal
9#13113065C211yesmaximal, characteristic
10#13113065C211yesmaximal, characteristic
11C2×C4×C13×C4⋊C4C211yesmaximal, characteristic
12C22×C13×C4⋊C4C2211yescharacteristic
13C22×C13×C4⋊C4C2211yescharacteristic
14C22×C42×C13C2212yes—
15C22×C42×C13C2211yescharacteristic
16C22×C4⋊Dic13C2211yescharacteristic
17C22×C4⋊Dic13C2212yes—
18C22×C4⋊Dic13C2212yes—
19C22×C4⋊Dic13C2211yescharacteristic
20C22×#6101C2211yescharacteristic
21C22×#6101C2212yes—
22C22×#6101C2211yescharacteristic
23C22×C4×Dic13C2211yescharacteristic
24C22×C4×Dic13C2211yescharacteristic
25C4×C13×C4⋊C4—24no—
26C2×C13×#95C2212yes—
27C2×#88071C2212yes—
28C2×#88071C2212yes—
29C2×#88071C2212yes—
30C2×#88071C2212yes—
31C2×#88071C2211yescharacteristic
32C2×#88071C2212yes—
33C2×#88071C2211yescharacteristic
34C2×#88071C2212yes—
35C2×#88071C2212yes—
36#11718646—24no—
37#11718646C418yescomplemented
38C4×#6101—24no—
39#11718589—24no—
40#11718589—28no—
41C23×C4×C13C2311yescharacteristic
42C23×C4×C13C2312yes—
43C23×C4×C13C2312yes—
44C23×C4×C13C2311yescharacteristic
45C23×C4×C13C2311yescharacteristic
46C23×Dic13C2312yes—
47C23×Dic13C2311yescharacteristic
48C23×Dic13C2312yes—
49C23×Dic13C2311yescharacteristic
50C23×Dic13C2311yescharacteristic
51C23×Dic13C2311yescharacteristic
52C2×C13×C4⋊C4—22no—
53C2×C13×C4⋊C4—22no—
54C2×C13×C4⋊C4C2×C414yes—
55C2×C13×C4⋊C4D414yes—
56C2×C13×C4⋊C4Q814yes—
57C2×C13×C4⋊C4Q814yes—
58C2×C42×C13—22no—
59C2×C42×C13—22no—
60C2×C42×C13—24no—
61C2×C42×C13—24no—
62C2×C42×C13—42no—
63C2×C42×C13D414yes—
64C2×C4⋊Dic13—22no—
65C2×C4⋊Dic13—22no—
66C2×C4⋊Dic13—24no—
67C2×C4⋊Dic13—24no—
68C2×C4⋊Dic13—22no—
69C2×C4⋊Dic13—24no—
70C2×C4⋊Dic13—22no—
71C2×C4⋊Dic13—22no—
72C2×C4⋊Dic13—24no—
73C2×C4⋊Dic13—42no—
74C2×C4⋊Dic13C2×C414yes—
75C2×C4⋊Dic13C2×C418yes—
76C2×#6101—22no—
77C2×#6101—22no—
78C2×#6101—22no—
79C2×#6101—22no—
80C2×#6101—22no—
81C2×#6101—24no—
82C2×#6101—24no—
83C2×#6101—24no—
84C2×#6101D414yes—
85C2×C4×Dic13—22no—
86C2×C4×Dic13—22no—
87C2×C4×Dic13—22no—
88C2×C4×Dic13—22no—
89C2×C4×Dic13—22no—
90C2×C4×Dic13C2×C414yes—
91C13×#95—24no—
92#88071—24no—
93#88071—22no—
94#88071—22no—
95#88071—24no—
96#88071—24no—
97#88071—24no—
98#88071—24no—
99#88071—42no—
100#88071C2×C418yes—
101#14046—131nomaximal, Sylow
102C24×C13C2411yescharacteristic
103C22×C4×C13—22no—
104C22×C4×C13—21no—
105C22×C4×C13—22no—
106C22×C4×C13—21no—
107C22×C4×C13—22no—
108C22×C4×C13—21no—
109C22×C4×C13—21no—
110C22×C4×C13—22no—
111C22×C4×C13—22no—
112C22×C4×C13—21no—
113C22×C4×C13—22no—
114C22×C4×C13—22no—
115C22×C4×C13—21no—
116C22×C4×C13—21no—
117C22×C4×C13—21no—
118C22×C4×C13—22no—
119C22×C4×C13—22no—
120C22×C4×C13—21no—
121C22×C4×C13—21no—
122C22×C4×C13—22no—
123C22×C4×C13C22×C414yes—
124C22×C4×C13C22×C412yes—
125C22×C4×C13C2×D412yes—
126C22×C4×C13C2×D412yes—
127C22×C4×C13C2×D412yes—
128C22×C4×C13C2×D412yes—
129C22×C4×C13C2×D414yes—
130C22×C4×C13C2×D412yes—
131C22×C4×C13C2×Q814yes—
132C22×C4×C13C2×Q814yes—
133C22×C4×C13C2×Q812yes—
134C22×C4×C13C2×Q812yes—
135C22×C4×C13#4112yes—
136C22×C4×C13#4112yes—
137C22×C4×C13#4112yes—
138C22×Dic13—21no—
139C22×Dic13—21no—
140C22×Dic13—21no—
141C22×Dic13—21no—
142C22×Dic13—21no—
143C22×Dic13—21no—
144C22×Dic13—21no—
145C22×Dic13—21no—
146C22×Dic13—22no—
147C22×Dic13—22no—
148C22×Dic13—21no—
149C22×Dic13—22no—
150C22×Dic13—21no—
151C22×Dic13—21no—
152C22×Dic13—21no—
153C22×Dic13—22no—
154C22×Dic13—21no—
155C22×Dic13—21no—
156C22×Dic13—22no—
157C22×Dic13—22no—
158C22×Dic13—21no—
159C22×Dic13—21no—
160C22×Dic13—21no—
161C22×Dic13—21no—
162C22×Dic13—21no—
163C22×Dic13—21no—
164C22×Dic13—21no—
165C22×Dic13—21no—
166C22×Dic13—22no—
167C22×Dic13—22no—
168C22×Dic13—22no—
169C22×Dic13—22no—
170C22×Dic13—22no—
171C22×Dic13—22no—
172C22×Dic13—22no—
173C22×Dic13C22×C412yes—
174C22×Dic13C22×C414yes—
175C22×Dic13C22×C412yes—
176C22×Dic13C2×D412yes—
177C22×Dic13C2×D412yes—
178C22×Dic13#4112yes—
179C22×Dic13#4112yes—
180C13×C4⋊C4—28no—
181C13×C4⋊C4C4⋊C4116yescomplemented
182C42×C13—28no—
183C42×C13—48no—
184C4⋊Dic13—28no—
185C4⋊Dic13—216no—
186C4⋊Dic13—48no—
187C4⋊Dic13—44no—
188#6101—28no—
189#6101—28no—
190#6101—48no—
191C4×Dic13—28no—
192C4×Dic13—44no—
193C2×#389—132no—
194C2×#389—131no—
195C2×#389—131no—
196C2×#389—131no—
197C2×C4×C4⋊C4—131no—
198C2×C4×C4⋊C4D1311yescharacteristic
199#1442—132no—
200#1441—132no—
201#1436—132no—
202C4⋊#95—131no—
203C4⋊#95—131no—
204C23×C13C23×C411yescharacteristic
205C23×C13C22×D411yescharacteristic
206C23×C13C22×D411yescharacteristic
207C23×C13C22×D411yescharacteristic
208C23×C13C22×Q811yescharacteristic
209C23×C13C22×Q811yescharacteristic
210C23×C13C2×#4111yescharacteristic
211C23×C13C2×#4111yescharacteristic
212C23×C13C2×#4111yescharacteristic
213C23×C13C2×#4111yescharacteristic
214C23×C13C2×#4111yescharacteristic
215C23×C13H(5,𝔽2)11yescharacteristic
216C23×C132−1+411yescharacteristic
217C23×C132−1+411yescharacteristic
218C23×C132−1+411yescharacteristic
219C2×C4×C13—24no—
220C2×C4×C13—24no—
221C2×C4×C13—22no—
222C2×C4×C13—22no—
223C2×C4×C13—24no—
224C2×C4×C13—22no—
225C2×C4×C13—24no—
226C2×C4×C13—22no—
227C2×C4×C13—22no—
228C2×C4×C13—24no—
229C2×C4×C13—22no—
230C2×C4×C13—24no—
231C2×C4×C13—22no—
232C2×C4×C13—24no—
233C2×C4×C13—22no—
234C2×C4×C13—22no—
235C2×C4×C13—24no—
236C2×C4×C13—24no—
237C2×C4×C13—42no—
238C2×C4×C13—42no—
239C2×C4×C13—42no—
240C2×C4×C13—41no—
241C2×C4×C13—41no—
242C2×C4×C13—42no—
243C2×C4×C13—41no—
244C2×C4×C13—41no—
245C2×C4×C13C2×C4⋊C418yes—
246C2×C4×C13C2×C4⋊C414yes—
247C2×C4×C13C4×D414yes—
248C2×C4×C13C4×Q814yes—
249C2×C4×C13#12114yes—
250C2×C4×C13#12114yes—
251C2×C4×C13C22⋊Q814yes—
252C2×C4×C13#12514yes—
253C2×C4×C13C4⋊Q814yes—
254C2×Dic13—22no—
255C2×Dic13—22no—
256C2×Dic13—22no—
257C2×Dic13—22no—
258C2×Dic13—22no—
259C2×Dic13—22no—
260C2×Dic13—22no—
261C2×Dic13—24no—
262C2×Dic13—24no—
263C2×Dic13—24no—
264C2×Dic13—22no—
265C2×Dic13—22no—
266C2×Dic13—22no—
267C2×Dic13—22no—
268C2×Dic13—22no—
269C2×Dic13—22no—
270C2×Dic13—22no—
271C2×Dic13—22no—
272C2×Dic13—41no—
273C2×Dic13—41no—
274C2×Dic13—42no—
275C2×Dic13—42no—
276C2×Dic13—42no—
277C2×Dic13—42no—
278C2×Dic13—41no—
279C2×Dic13—41no—
280C2×Dic13—41no—
281C2×Dic13—41no—
282C2×Dic13—41no—
283C2×Dic13—41no—
284C2×Dic13—41no—
285C2×Dic13—41no—
286C2×Dic13—41no—
287C2×Dic13—41no—
288C2×Dic13—42no—
289C2×Dic13—42no—
290C2×Dic13—42no—
291C2×Dic13—42no—
292C2×Dic13—42no—
293C2×Dic13—42no—
294C2×Dic13—42no—
295C2×Dic13C4×D414yes—
296C22×C4⋊C4—131no—
297C22×C4⋊C4—131no—
298C22×C4⋊C4—132no—
299C22×C4⋊C4—132no—
300C22×C4⋊C4—131no—
301C22×C4⋊C4—131no—
302C22×C4⋊C4—132no—
303C22×C4⋊C4C2×D1311yescharacteristic
304C22×C4⋊C4C2×D1311yescharacteristic
305C22×C42—131no—
306C22×C42—131no—
307C22×C42C2×D1312yes—
308C22×C42C2×D1311yescharacteristic
309#389—138no—
310#389—268no—
311#389—264no—
312#389—264no—
313C4×C4⋊C4—24no—
314C4×C4⋊C4—264no—
315C2×#95—132no—
316C2×#95—132no—
317C2×#95—132no—
318C2×#95—132no—
319C2×#95—131no—
320C2×#95—132no—
321C2×#95—132no—
322C2×#95—131no—
323C2×#95—132no—
324C2×#95C2×D1312yes—
325C22×C13C22×C4⋊C411yescharacteristic
326C22×C13C2×C4×D411yescharacteristic
327C22×C13C2×C4×D411yescharacteristic
328C22×C13C2×C4×Q811yescharacteristic
329C22×C13C4×#4111yescharacteristic
330C22×C13#51911yescharacteristic
331C22×C13#52011yescharacteristic
332C22×C13C2×#12111yescharacteristic
333C22×C13C2×#12111yescharacteristic
334C22×C13C2×C22⋊Q811yescharacteristic
335C22×C13#52511yescharacteristic
336C22×C13C2×#12511yescharacteristic
337C22×C13#52911yescharacteristic
338C22×C13C2×C4⋊Q811yescharacteristic
339C22×C13#53211yescharacteristic
340C22×C13#53611yescharacteristic
341C22×C13#53711yescharacteristic
342C22×C13#54111yescharacteristic
343C22×C13#54211yescharacteristic
344C22×C13D4211yescharacteristic
345C22×C13#54711yescharacteristic
346C22×C13#54711yescharacteristic
347C22×C13#54811yescharacteristic
348C22×C13#54811yescharacteristic
349C22×C13D4×Q811yescharacteristic
350C22×C13D4×Q811yescharacteristic
351C22×C13#55211yescharacteristic
352C22×C13#55311yescharacteristic
353C22×C13#55411yescharacteristic
354C22×C13#55411yescharacteristic
355C22×C13#55611yescharacteristic
356C22×C13#55711yescharacteristic
357C22×C13#55711yescharacteristic
358C22×C13#55711yescharacteristic
359C22×C13#55711yescharacteristic
360C4×C13—28no—
361C4×C13—24no—
362C4×C13—42no—
363C4×C13—44no—
364C4×C13#38918yescomplemented
365Dic13—24no—
366Dic13—42no—
367Dic13—42no—
368Dic13—42no—
369Dic13—44no—
370Dic13—82no—
371C23×C4—131no—
372C23×C4—132no—
373C23×C4—131no—
374C23×C4—131no—
375C23×C4—131no—
376C23×C4—132no—
377C23×C4C22×D1312yes—
378C23×C4C22×D1311yescharacteristic
379C23×C4C22×D1312yes—
380C23×C4C22×D1311yescharacteristic
381C23×C4C22×D1311yescharacteristic
382C2×C4⋊C4—22no—
383C2×C4⋊C4—22no—
384C2×C4⋊C4—138no—
385C2×C4⋊C4—134no—
386C2×C4⋊C4—134no—
387C2×C4⋊C4—262no—
388C2×C4⋊C4—262no—
389C2×C4⋊C4—264no—
390C2×C4⋊C4—264no—
391C2×C4⋊C4—262no—
392C2×C4⋊C4—262no—
393C2×C4⋊C4—262no—
394C2×C4⋊C4—262no—
395C2×C4⋊C4—262no—
396C2×C4⋊C4—264no—
397C2×C4⋊C4—264no—
398C2×C4⋊C4—262no—
399C2×C4⋊C4—262no—
400C2×C4⋊C4—264no—
401C2×C4⋊C4—264no—
402C2×C4⋊C4—264no—
403C2×C4⋊C4—262no—
404C2×C4⋊C4—522no—
405C2×C4⋊C4Dic2614yes—
406C2×C4⋊C4Dic2614yes—
407C2×C4⋊C4C4×D1314yes—
408C2×C4⋊C4C22⋊D1314yes—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—24no—
412C2×C42—24no—
413C2×C42—42no—
414C2×C42—134no—
415C2×C42—262no—
416C2×C42—262no—
417C2×C42—262no—
418C2×C42—262no—
419C2×C42—262no—
420C2×C42D5214yes—
421#95—24no—
422#95—138no—
423#95—264no—
424#95—264no—
425#95—264no—
426#95—262no—
427#95—262no—
428#95—264no—
429#95—264no—
430#95—522no—
431C2×C13C2×#38911yescharacteristic
432C2×C13C4×#12111yescharacteristic
433C2×C13#232311yescharacteristic
434C2×C13D4×C4⋊C411yescharacteristic
435C2×C13#235111yescharacteristic
436C2×C13#236511yescharacteristic
437C2×C13#237011yescharacteristic
438C2×C13#241511yescharacteristic
439C2×C13#241611yescharacteristic
440C2×C13#245211yescharacteristic
441C2×C13#245311yescharacteristic
442C2×C13#250611yescharacteristic
443C2×C13#250911yescharacteristic
444C2×C13#254611yescharacteristic
445C2×C13#258411yescharacteristic
446C24C23×D1311yescharacteristic
447C22×C4—21no—
448C22×C4—22no—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—22no—
465C22×C4—21no—
466C22×C4—22no—
467C22×C4—132no—
468C22×C4—132no—
469C22×C4—132no—
470C22×C4—132no—
471C22×C4—134no—
472C22×C4—132no—
473C22×C4—132no—
474C22×C4—261no—
475C22×C4—261no—
476C22×C4—261no—
477C22×C4—261no—
478C22×C4—261no—
479C22×C4—261no—
480C22×C4—261no—
481C22×C4—262no—
482C22×C4—261no—
483C22×C4—261no—
484C22×C4—261no—
485C22×C4—262no—
486C22×C4—262no—
487C22×C4—261no—
488C22×C4—261no—
489C22×C4—261no—
490C22×C4—262no—
491C22×C4—261no—
492C22×C4—261no—
493C22×C4—262no—
494C22×C4—261no—
495C22×C4—262no—
496C22×C4—261no—
497C22×C4—261no—
498C22×C4—261no—
499C22×C4—261no—
500C22×C4—261no—
501C22×C4—261no—
502C22×C4—262no—
503C22×C4—262no—
504C22×C4—262no—
505C22×C4—262no—
506C22×C4—262no—
507C22×C4—262no—
508C22×C4—262no—
509C22×C4C2×Dic2614yes—
510C22×C4C2×Dic2614yes—
511C22×C4C2×Dic2612yes—
512C22×C4C2×Dic2612yes—
513C22×C4C2×C4×D1314yes—
514C22×C4C2×C4×D1312yes—
515C22×C4C2×D5212yes—
516C22×C4C2×D5212yes—
517C22×C4C2×D5212yes—
518C22×C4#612712yes—
519C22×C4#612712yes—
520C22×C4D4×D1312yes—
521C22×C4#613112yes—
522C22×C4C2×C22⋊D1314yes—
523C22×C4C2×C22⋊D1312yes—
524C4⋊C4—28no—
525C4⋊C4—2616no—
526C4⋊C4—268no—
527C4⋊C4—268no—
528C4⋊C4—268no—
529C4⋊C4—528no—
530C4⋊C4—528no—
531C4⋊C4—524no—
532C4⋊C4#6101116yescomplemented
533C42—28no—
534C42—48no—
535C42—268no—
536C42—524no—
537C13#1404611yescharacteristic, complemented, Sylow
538C23C22×Dic2611yescharacteristic
539C23C22×Dic2611yescharacteristic
540C23C22×C4×D1311yescharacteristic
541C23C22×D5211yescharacteristic
542C23C2×#612711yescharacteristic
543C23C2×#612711yescharacteristic
544C23C2×D4×D1311yescharacteristic
545C23#8825111yescharacteristic
546C23C2×#613111yescharacteristic
547C23#8825411yescharacteristic
548C23#41×D1311yescharacteristic
549C23#41×D1311yescharacteristic
550C23#8825711yescharacteristic
551C23#8825711yescharacteristic
552C23C22×C22⋊D1311yescharacteristic
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—24no—
558C2×C4—24no—
559C2×C4—24no—
560C2×C4—22no—
561C2×C4—24no—
562C2×C4—24no—
563C2×C4—22no—
564C2×C4—24no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—24no—
568C2×C4—22no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—42no—
574C2×C4—42no—
575C2×C4—42no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—42no—
579C2×C4—134no—
580C2×C4—262no—
581C2×C4—262no—
582C2×C4—262no—
583C2×C4—262no—
584C2×C4—262no—
585C2×C4—262no—
586C2×C4—262no—
587C2×C4—264no—
588C2×C4—262no—
589C2×C4—262no—
590C2×C4—262no—
591C2×C4—262no—
592C2×C4—264no—
593C2×C4—262no—
594C2×C4—262no—
595C2×C4—262no—
596C2×C4—264no—
597C2×C4—262no—
598C2×C4—522no—
599C2×C4—521no—
600C2×C4—521no—
601C2×C4—521no—
602C2×C4—522no—
603C2×C4—521no—
604C2×C4—521no—
605C2×C4—521no—
606C2×C4—521no—
607C2×C4—521no—
608C2×C4—522no—
609C2×C4—521no—
610C2×C4—521no—
611C2×C4—521no—
612C2×C4—522no—
613C2×C4—521no—
614C2×C4—522no—
615C2×C4—522no—
616C2×C4—522no—
617C2×C4—522no—
618C2×C4—522no—
619C2×C4—522no—
620C2×C4—522no—
621C2×C4C4×Dic2614yes—
622C2×C4#8812314yes—
623C2×C4#8812414yes—
624C2×C4C4×D5214yes—
625C2×C4#8814914yes—
626C2×C4C2×#610118yes—
627C2×C4C2×#610114yes—
628C2×C4#8817814yes—
629C2×C4#8818414yes—
630C22C2×C4×Dic2611yescharacteristic
631C22C2×#8812311yescharacteristic
632C22C2×#8812411yescharacteristic
633C22C2×C4×D5211yescharacteristic
634C22C2×#8814911yescharacteristic
635C22#1171921211yescharacteristic
636C22#1171921511yescharacteristic
637C22#1171921911yescharacteristic
638C22#1171922911yescharacteristic
639C22#1171923111yescharacteristic
640C22#1171923411yescharacteristic
641C22#1171923811yescharacteristic
642C22D4×Dic2611yescharacteristic
643C22D4×Dic2611yescharacteristic
644C22#1171924411yescharacteristic
645C22#1171924411yescharacteristic
646C22C4×D4×D1311yescharacteristic
647C22#1171925111yescharacteristic
648C22#1171925311yescharacteristic
649C22#1171926611yescharacteristic
650C22#1171927411yescharacteristic
651C22#1171927411yescharacteristic
652C22#1171927511yescharacteristic
653C22#1171927511yescharacteristic
654C22#1171927711yescharacteristic
655C22C4×#613111yescharacteristic
656C22#1171928511yescharacteristic
657C22#1171928811yescharacteristic
658C22C22×#610111yescharacteristic
659C22C2×#8817811yescharacteristic
660C22C2×#8818411yescharacteristic
661C22D4×C22⋊D1311yescharacteristic
662C22#1171952211yescharacteristic
663C22#1171952911yescharacteristic
664C22#1171953611yescharacteristic
665C4—28no—
666C4—24no—
667C4—42no—
668C4—44no—
669C4—264no—
670C4—522no—
671C4—522no—
672C4—522no—
673C4—524no—
674C4—1042no—
675C4#1171858918yescomplemented
676C2C2×#1171858911yescharacteristic
677C2C4×#8814911yescharacteristic
678C2#1311751911yescharacteristic
679C2D4×#610111yescharacteristic
680C2#1311775411yescharacteristic
681C2#1311789511yescharacteristic
682C2#1311792811yescharacteristic
683C2#1311825911yescharacteristic
684C2#1311827011yescharacteristic
685C2#1311868011yescharacteristic
686C2#1311869111yescharacteristic
687C2#1311934611yescharacteristic
688C2#1311937911yescharacteristic
689C2#1311982411yescharacteristic
690C2#1312021911yescharacteristic
subgroupG/H
center, FrattiniC24C23×D13
commutatorC23×C13C23×C4
FittingC2×C4×C13×C4⋊C4C2
socle, prime radical, cosocleC24×C13C24
hypercenterC2×C4×C4⋊C4D13
hypocenterC13#14046
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
37. #11718646C4semidirect
181. C13×C4⋊C4C4⋊C4semidirect
364. C4×C13#389semidirect
532. C4⋊C4#6101semidirect
537. C13#14046semidirect
675. C4#11718589semidirect

Maximal subgroups

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

subgroupindex
C2×#117186462
C2×#117185892
C2×C4×#61012
#131130922
#131130882
#131130692
#131130652
C2×C4×C13×C4⋊C42
#1404613