Finite Group Databasebeta

← #15785421

Subgroups — #15785421

Order 3328.

1794 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
1C22×Q8×Dic13C211yesmaximal, characteristic
2C2×#11718891C211yesmaximal, characteristic
3C2×#11718589C211yesmaximal, characteristic
4C2×#11718634C211yesmaximal, characteristic
5#13113088C212yesmaximal
6#13113088C212yesmaximal
7#13113065C211yesmaximal, characteristic
8#13113064C212yesmaximal
9#13113062C212yesmaximal
10C4×#88071C211yesmaximal, characteristic
11C2×C13×#391C211yesmaximal, characteristic
12C23×Q8×C13C2211yescharacteristic
13C22×C13×C4⋊C4C2211yescharacteristic
14C22×C42×C13C2211yescharacteristic
15C2×Q8×Dic13—24no—
16C2×Q8×Dic13—24no—
17C2×Q8×Dic13C418yescomplemented
18C22×C4⋊Dic13C2211yescharacteristic
19C22×C4⋊Dic13C2212yes—
20C22×C4⋊Dic13C2211yescharacteristic
21C22×#6101C2212yes—
22C22×#6101C2212yes—
23C22×C4×Dic13C2211yescharacteristic
24C22×C4×Dic13C2211yescharacteristic
25C22×C4×Dic13C2212yes—
26C13×#391—24no—
27C2×C13×#95C2212yes—
28C2×C13×#95C2212yes—
29#11718891—24no—
30C2×#88071C2211yescharacteristic
31C2×#88071C2211yescharacteristic
32C2×#88071C2212yes—
33C2×#88071C2212yes—
34C2×#88071C2212yes—
35C2×#88071C2212yes—
36C2×#88071C2211yescharacteristic
37C2×#88071C2212yes—
38C2×#88071C2212yes—
39C2×#88071C2211yescharacteristic
40#11718634—24no—
41#11718589—24no—
42C22×Q8×C13—22no—
43C22×Q8×C13—22no—
44C22×Q8×C13—22no—
45C22×Q8×C13—22no—
46C22×Q8×C13C2×C414yes—
47C22×Q8×C13D414yes—
48C22×Q8×C13Q814yes—
49C23×C4×C13C2312yes—
50C23×C4×C13C2311yescharacteristic
51C23×C4×C13C2311yescharacteristic
52C23×C4×C13C2312yes—
53C23×C4×C13C2311yescharacteristic
54C23×Dic13C2312yes—
55C23×Dic13C2311yescharacteristic
56C23×Dic13C2311yescharacteristic
57C23×Dic13C2311yescharacteristic
58C23×Dic13C2312yes—
59C23×Dic13C2311yescharacteristic
60C2×C13×C4⋊C4—22no—
61C2×C13×C4⋊C4—22no—
62C2×C13×C4⋊C4—22no—
63C2×C42×C13—22no—
64C2×C42×C13—22no—
65C2×C42×C13—22no—
66Q8×Dic13—232no—
67C2×C4⋊Dic13—24no—
68C2×C4⋊Dic13—24no—
69C2×C4⋊Dic13—22no—
70C2×C4⋊Dic13—22no—
71C2×C4⋊Dic13—22no—
72C2×C4⋊Dic13C2×C418yes—
73C2×C4⋊Dic13C2×C414yes—
74C2×C4⋊Dic13D414yes—
75C2×C4⋊Dic13D414yes—
76C2×#6101—24no—
77C2×#6101—24no—
78C2×#6101—24no—
79C2×#6101—24no—
80C2×#6101—42no—
81C2×#6101—42no—
82C2×C4×Dic13—22no—
83C2×C4×Dic13—22no—
84C2×C4×Dic13—24no—
85C2×C4×Dic13—24no—
86C2×C4×Dic13—22no—
87C2×C4×Dic13—22no—
88C2×C4×Dic13—22no—
89C2×C4×Dic13C2×C414yes—
90C2×C4×Dic13C2×C418yes—
91C13×#95—24no—
92C13×#95—24no—
93#88071—24no—
94#88071—24no—
95#88071—22no—
96#88071—24no—
97#88071—24no—
98#88071—22no—
99#88071—22no—
100#88071—24no—
101#88071—42no—
102#88071Q814yescomplemented
103#13935—131nomaximal, Sylow
104C24×C13C2411yescharacteristic
105C2×Q8×C13—28no—
106C2×Q8×C13—28no—
107C2×Q8×C13—28no—
108C2×Q8×C13—28no—
109C2×Q8×C13—28no—
110C2×Q8×C13—28no—
111C2×Q8×C13C4⋊C4116yescomplemented
112C22×C4×C13—22no—
113C22×C4×C13—22no—
114C22×C4×C13—22no—
115C22×C4×C13—22no—
116C22×C4×C13—21no—
117C22×C4×C13—21no—
118C22×C4×C13—21no—
119C22×C4×C13—21no—
120C22×C4×C13—21no—
121C22×C4×C13—21no—
122C22×C4×C13—21no—
123C22×C4×C13—21no—
124C22×C4×C13—21no—
125C22×C4×C13—21no—
126C22×C4×C13—21no—
127C22×C4×C13—21no—
128C22×C4×C13—22no—
129C22×C4×C13—22no—
130C22×C4×C13—22no—
131C22×C4×C13—22no—
132C22×C4×C13—22no—
133C22×C4×C13—22no—
134C22×C4×C13—22no—
135C22×C4×C13C22×C414yes—
136C22×C4×C13C22×C412yes—
137C22×C4×C13C2×D412yes—
138C22×C4×C13C2×D412yes—
139C22×C4×C13C2×D414yes—
140C22×C4×C13C2×D412yes—
141C22×C4×C13C2×Q814yes—
142C22×C4×C13C2×Q812yes—
143C22×C4×C13C2×Q812yes—
144C22×C4×C13#4112yes—
145C22×C4×C13#4112yes—
146C22×C4×C13#4112yes—
147C22×Dic13—21no—
148C22×Dic13—21no—
149C22×Dic13—22no—
150C22×Dic13—22no—
151C22×Dic13—22no—
152C22×Dic13—21no—
153C22×Dic13—21no—
154C22×Dic13—22no—
155C22×Dic13—21no—
156C22×Dic13—21no—
157C22×Dic13—21no—
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—21no—
167C22×Dic13—21no—
168C22×Dic13—21no—
169C22×Dic13—21no—
170C22×Dic13—21no—
171C22×Dic13—21no—
172C22×Dic13—21no—
173C22×Dic13—22no—
174C22×Dic13—22no—
175C22×Dic13—22no—
176C22×Dic13—22no—
177C22×Dic13—22no—
178C22×Dic13—22no—
179C22×Dic13—22no—
180C22×Dic13C22×C412yes—
181C22×Dic13C22×C414yes—
182C22×Dic13C22×C412yes—
183C22×Dic13C2×D414yes—
184C22×Dic13C2×D414yes—
185C22×Dic13C2×Q812yes—
186C22×Dic13C2×Q812yes—
187C22×Dic13#4112yes—
188C22×Dic13#4112yes—
189C13×C4⋊C4—44no—
190C42×C13—44no—
191C4⋊Dic13—216no—
192C4⋊Dic13—44no—
193C4⋊Dic13C22⋊C4116yes—
194#6101—48no—
195#6101—48no—
196C4×Dic13—28no—
197C4×Dic13—216no—
198C4×Dic13—44no—
199C22×C4×Q8—131no—
200C2×#391—131no—
201C2×#391D1311yescharacteristic
202C2×#389—131no—
203C2×#389—131no—
204#1441—132no—
205#1441—132no—
206C4⋊#95—132no—
207C4⋊#95—131no—
208#1434—132no—
209C4×#95—131no—
210C23×C13C23×C411yescharacteristic
211C23×C13C22×D411yescharacteristic
212C23×C13C22×D411yescharacteristic
213C23×C13C22×D411yescharacteristic
214C23×C13C22×Q811yescharacteristic
215C23×C13C22×Q811yescharacteristic
216C23×C13C2×#4111yescharacteristic
217C23×C13C2×#4111yescharacteristic
218C23×C13C2×#4111yescharacteristic
219C23×C13C2×#4111yescharacteristic
220C23×C13C2×#4111yescharacteristic
221C23×C13H(5,𝔽2)11yescharacteristic
222C23×C132−1+411yescharacteristic
223C23×C132−1+411yescharacteristic
224C23×C132−1+411yescharacteristic
225Q8×C13—232no—
226C2×C4×C13—24no—
227C2×C4×C13—24no—
228C2×C4×C13—24no—
229C2×C4×C13—24no—
230C2×C4×C13—24no—
231C2×C4×C13—24no—
232C2×C4×C13—22no—
233C2×C4×C13—22no—
234C2×C4×C13—22no—
235C2×C4×C13—22no—
236C2×C4×C13—22no—
237C2×C4×C13—22no—
238C2×C4×C13—41no—
239C2×C4×C13—41no—
240C2×C4×C13—41no—
241C2×C4×C13—41no—
242C2×C4×C13—41no—
243C2×C4×C13—41no—
244C2×C4×C13—41no—
245C2×C4×C13—41no—
246C2×C4×C13—42no—
247C2×C4×C13—42no—
248C2×C4×C13—42no—
249C2×C4×C13—42no—
250C2×C4×C13—42no—
251C2×C4×C13—42no—
252C2×C4×C13—42no—
253C2×C4×C13C2×C22⋊C414yes—
254C2×C4×C13C2×C4⋊C418yes—
255C2×C4×C13C2×C4⋊C414yes—
256C2×C4×C13#11714yes—
257C2×C4×C13#12114yes—
258C2×C4×C13#12114yes—
259C2×C4×C13C22⋊Q814yes—
260C2×C4×C13C22⋊Q814yes—
261C2×Dic13—22no—
262C2×Dic13—24no—
263C2×Dic13—22no—
264C2×Dic13—24no—
265C2×Dic13—24no—
266C2×Dic13—24no—
267C2×Dic13—24no—
268C2×Dic13—24no—
269C2×Dic13—22no—
270C2×Dic13—22no—
271C2×Dic13—22no—
272C2×Dic13—22no—
273C2×Dic13—22no—
274C2×Dic13—22no—
275C2×Dic13—22no—
276C2×Dic13—22no—
277C2×Dic13—22no—
278C2×Dic13—22no—
279C2×Dic13—22no—
280C2×Dic13—22no—
281C2×Dic13—22no—
282C2×Dic13—41no—
283C2×Dic13—41no—
284C2×Dic13—41no—
285C2×Dic13—41no—
286C2×Dic13—41no—
287C2×Dic13—41no—
288C2×Dic13—41no—
289C2×Dic13—41no—
290C2×Dic13—41no—
291C2×Dic13—41no—
292C2×Dic13—41no—
293C2×Dic13—41no—
294C2×Dic13—42no—
295C2×Dic13—42no—
296C2×Dic13—42no—
297C2×Dic13—42no—
298C2×Dic13—42no—
299C2×Dic13—42no—
300C2×Dic13—42no—
301C2×Dic13C2×C22⋊C418yes—
302C2×Dic13C4×Q814yes—
303C23×Q8C2×D1311yescharacteristic
304C2×C4×Q8—138no—
305C2×C4×Q8—264no—
306C2×C4×Q8—264no—
307C22×C4⋊C4—131no—
308C22×C4⋊C4—132no—
309C22×C4⋊C4—131no—
310C22×C4⋊C4—132no—
311C22×C4⋊C4—132no—
312C22×C4⋊C4C2×D1311yescharacteristic
313C22×C42—131no—
314C22×C42—132no—
315C22×C42—131no—
316C22×C42C2×D1311yescharacteristic
317#391—24no—
318#391—264no—
319#389—264no—
320#389—264no—
321C2×#95—131no—
322C2×#95—131no—
323C2×#95—131no—
324C2×#95—131no—
325C2×#95—132no—
326C2×#95—132no—
327C2×#95—132no—
328C2×#95—132no—
329C2×#95—132no—
330C2×#95—132no—
331C2×#95C2×D1312yes—
332C2×#95C2×D1312yes—
333C22×C13C22×C22⋊C411yescharacteristic
334C22×C13C22×C4⋊C411yescharacteristic
335C22×C13C2×#11711yescharacteristic
336C22×C13C2×C4×Q811yescharacteristic
337C22×C13C4×#4111yescharacteristic
338C22×C13#51911yescharacteristic
339C22×C13#52011yescharacteristic
340C22×C13C2×#12111yescharacteristic
341C22×C13C2×#12111yescharacteristic
342C22×C13C2×C22⋊Q811yescharacteristic
343C22×C13C2×C22⋊Q811yescharacteristic
344C22×C13#52911yescharacteristic
345C22×C13#52911yescharacteristic
346C22×C13#53311yescharacteristic
347C22×C13#53311yescharacteristic
348C22×C13#54111yescharacteristic
349C22×C13#54111yescharacteristic
350C22×C13#54211yescharacteristic
351C22×C13#54211yescharacteristic
352C22×C13#54611yescharacteristic
353C22×C13#54611yescharacteristic
354C22×C13#54711yescharacteristic
355C22×C13#54711yescharacteristic
356C22×C13#54811yescharacteristic
357C22×C13#54811yescharacteristic
358C22×C13#54811yescharacteristic
359C22×C13#54811yescharacteristic
360C22×C13D4×Q811yescharacteristic
361C22×C13D4×Q811yescharacteristic
362C22×C13D4×Q811yescharacteristic
363C22×C13#55011yescharacteristic
364C22×C13#55711yescharacteristic
365C22×C13#55711yescharacteristic
366C22×C13#55711yescharacteristic
367C22×C13Q8211yescharacteristic
368C4×C13—28no—
369C4×C13—42no—
370C4×C13—42no—
371C4×C13—82no—
372C4×C13#38018yes—
373Dic13—28no—
374Dic13—24no—
375Dic13—42no—
376Dic13—42no—
377Dic13—42no—
378Dic13—82no—
379C22×Q8—22no—
380C22×Q8—22no—
381C22×Q8—22no—
382C22×Q8—22no—
383C22×Q8Dic2614yes—
384C22×Q8C4×D1314yes—
385C22×Q8C22⋊D1314yes—
386C23×C4—132no—
387C23×C4—131no—
388C23×C4—131no—
389C23×C4—131no—
390C23×C4—131no—
391C23×C4—132no—
392C23×C4C22×D1312yes—
393C23×C4C22×D1311yescharacteristic
394C23×C4C22×D1311yescharacteristic
395C23×C4C22×D1312yes—
396C23×C4C22×D1311yescharacteristic
397C4×Q8—2632no—
398C2×C4⋊C4—22no—
399C2×C4⋊C4—22no—
400C2×C4⋊C4—22no—
401C2×C4⋊C4—134no—
402C2×C4⋊C4—134no—
403C2×C4⋊C4—134no—
404C2×C4⋊C4—138no—
405C2×C4⋊C4—264no—
406C2×C4⋊C4—264no—
407C2×C4⋊C4—264no—
408C2×C4⋊C4—264no—
409C2×C4⋊C4—264no—
410C2×C4⋊C4—262no—
411C2×C4⋊C4—262no—
412C2×C4⋊C4—264no—
413C2×C4⋊C4—262no—
414C2×C4⋊C4—522no—
415C2×C4⋊C4—522no—
416C2×C42—22no—
417C2×C42—22no—
418C2×C42—22no—
419C2×C42—138no—
420C2×C42—134no—
421C2×C42—264no—
422C2×C42—264no—
423C2×C42—262no—
424C2×C42—262no—
425C2×C42—262no—
426C2×C42—262no—
427C2×C42—262no—
428#95—24no—
429#95—24no—
430#95—134no—
431#95—262no—
432#95—262no—
433#95—264no—
434#95—264no—
435#95—264no—
436#95—262no—
437#95—264no—
438#95—264no—
439#95—522no—
440C2×C13C2×#38011yescharacteristic
441C2×C13#229511yescharacteristic
442C2×C13#232011yescharacteristic
443C2×C13#233911yescharacteristic
444C2×C13Q8×C22⋊C411yescharacteristic
445C2×C13Q8×C4⋊C411yescharacteristic
446C2×C13#235111yescharacteristic
447C2×C13#242611yescharacteristic
448C2×C13#242611yescharacteristic
449C2×C13#242911yescharacteristic
450C2×C13#242911yescharacteristic
451C2×C13#245111yescharacteristic
452C2×C13#245111yescharacteristic
453C2×C13#245311yescharacteristic
454C2×C13#245311yescharacteristic
455C24C23×D1311yescharacteristic
456C2×Q8—28no—
457C2×Q8—28no—
458C2×Q8—28no—
459C2×Q8—28no—
460C2×Q8—28no—
461C2×Q8—28no—
462C2×Q8#6101116yescomplemented
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—132no—
487C22×C4—134no—
488C22×C4—134no—
489C22×C4—134no—
490C22×C4—132no—
491C22×C4—132no—
492C22×C4—132no—
493C22×C4—132no—
494C22×C4—132no—
495C22×C4—261no—
496C22×C4—261no—
497C22×C4—262no—
498C22×C4—262no—
499C22×C4—261no—
500C22×C4—262no—
501C22×C4—262no—
502C22×C4—261no—
503C22×C4—261no—
504C22×C4—261no—
505C22×C4—261no—
506C22×C4—261no—
507C22×C4—261no—
508C22×C4—261no—
509C22×C4—261no—
510C22×C4—261no—
511C22×C4—261no—
512C22×C4—261no—
513C22×C4—261no—
514C22×C4—261no—
515C22×C4—261no—
516C22×C4—261no—
517C22×C4—261no—
518C22×C4—261no—
519C22×C4—261no—
520C22×C4—261no—
521C22×C4—262no—
522C22×C4—262no—
523C22×C4—262no—
524C22×C4—262no—
525C22×C4—262no—
526C22×C4—262no—
527C22×C4—262no—
528C22×C4C2×Dic2614yes—
529C22×C4C2×Dic2612yes—
530C22×C4C2×C4×D1314yes—
531C22×C4C2×C4×D1312yes—
532C22×C4D4×D1312yes—
533C22×C4D4×D1312yes—
534C22×C4#612912yes—
535C22×C4#612912yes—
536C22×C4Q8×D1312yes—
537C22×C4#613112yes—
538C22×C4C2×C22⋊D1314yes—
539C22×C4C2×C22⋊D1312yes—
540C4⋊C4—44no—
541C4⋊C4—1316no—
542C4⋊C4—2616no—
543C4⋊C4—528no—
544C4⋊C4—528no—
545C4⋊C4—524no—
546C42—44no—
547C42—2616no—
548C42—268no—
549C42—524no—
550C13#1393511yescharacteristic, complemented, Sylow
551C23C22×Dic2611yescharacteristic
552C23C22×C4×D1311yescharacteristic
553C23C2×D4×D1311yescharacteristic
554C23C2×D4×D1311yescharacteristic
555C23C2×#612911yescharacteristic
556C23C2×#612911yescharacteristic
557C23C2×Q8×D1311yescharacteristic
558C23C2×#613111yescharacteristic
559C23#8825411yescharacteristic
560C23#8825411yescharacteristic
561C23#41×D1311yescharacteristic
562C23#41×D1311yescharacteristic
563C23#8825611yescharacteristic
564C23#8825711yescharacteristic
565C23C22×C22⋊D1311yescharacteristic
566Q8—232no—
567C2×C4—24no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—42no—
590C2×C4—42no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—138no—
595C2×C4—134no—
596C2×C4—264no—
597C2×C4—262no—
598C2×C4—262no—
599C2×C4—262no—
600C2×C4—264no—
601C2×C4—264no—
602C2×C4—264no—
603C2×C4—264no—
604C2×C4—262no—
605C2×C4—262no—
606C2×C4—264no—
607C2×C4—262no—
608C2×C4—262no—
609C2×C4—262no—
610C2×C4—262no—
611C2×C4—262no—
612C2×C4—262no—
613C2×C4—262no—
614C2×C4—262no—
615C2×C4—262no—
616C2×C4—262no—
617C2×C4—521no—
618C2×C4—521no—
619C2×C4—521no—
620C2×C4—521no—
621C2×C4—521no—
622C2×C4—521no—
623C2×C4—521no—
624C2×C4—521no—
625C2×C4—521no—
626C2×C4—521no—
627C2×C4—521no—
628C2×C4—521no—
629C2×C4—522no—
630C2×C4—522no—
631C2×C4—522no—
632C2×C4—522no—
633C2×C4—522no—
634C2×C4—522no—
635C2×C4—522no—
636C2×C4#8813114yes—
637C2×C4#8813214yes—
638C2×C4#8813214yes—
639C2×C4C22⋊C4×D1314yes—
640C2×C4C2×#610118yes—
641C2×C4C2×#610114yes—
642C2×C4#8819314yes—
643C2×C4#8819314yes—
644C22C2×#8813111yescharacteristic
645C22C2×#8813211yescharacteristic
646C22C2×#8813211yescharacteristic
647C22C2×C22⋊C4×D1311yescharacteristic
648C22Q8×Dic2611yescharacteristic
649C22#1171927411yescharacteristic
650C22#1171927411yescharacteristic
651C22#1171927511yescharacteristic
652C22C4×Q8×D1311yescharacteristic
653C22#1171927711yescharacteristic
654C22C4×#613111yescharacteristic
655C22#1171927911yescharacteristic
656C22#1171932711yescharacteristic
657C22#1171932911yescharacteristic
658C22#1171933011yescharacteristic
659C22#1171933511yescharacteristic
660C22#1171933611yescharacteristic
661C22#1171933711yescharacteristic
662C22#1171933811yescharacteristic
663C22#1171934811yescharacteristic
664C22#1171938111yescharacteristic
665C22#1171938211yescharacteristic
666C22#1171938511yescharacteristic
667C22#1171938711yescharacteristic
668C22#1171943111yescharacteristic
669C22#1171943211yescharacteristic
670C22#1171943311yescharacteristic
671C22#1171943611yescharacteristic
672C22C22×#610111yescharacteristic
673C22C2×#8819311yescharacteristic
674C22C2×#8819311yescharacteristic
675C22Q8×C22⋊D1311yescharacteristic
676C22#1171952211yescharacteristic
677C22#1171953611yescharacteristic
678C22#1171953911yescharacteristic
679C4—28no—
680C4—42no—
681C4—42no—
682C4—82no—
683C4—268no—
684C4—264no—
685C4—522no—
686C4—522no—
687C4—522no—
688C4—1042no—
689C4#1171860318yes—
690C2C2×#1171860311yescharacteristic
691C2#1311731111yescharacteristic
692C2#1311748111yescharacteristic
693C2#1311766511yescharacteristic
694C2#1311767011yescharacteristic
695C2Q8×#610111yescharacteristic
696C2#1311775411yescharacteristic
697C2#1311840411yescharacteristic
698C2#1311840511yescharacteristic
699C2#1311843711yescharacteristic
700C2#1311843811yescharacteristic
701C2#1311867711yescharacteristic
702C2#1311867811yescharacteristic
703C2#1311869911yescharacteristic
704C2#1311870011yescharacteristic
subgroupG/H
center, FrattiniC24C23×D13
commutatorC23×C13C23×C4
FittingC2×C13×#391C2
socle, prime radical, cosocleC24×C13C24
hypercenterC2×#391D13
hypocenterC13#13935
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#391

Complements

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

NH ≅ G/Ntype
17. C2×Q8×Dic13C4semidirect
102. #88071Q8semidirect
111. C2×Q8×C13C4⋊C4semidirect
462. C2×Q8#6101semidirect
550. C13#13935semidirect

Maximal subgroups

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

subgroupindex
C22×Q8×Dic132
C2×#117188912
C2×#117185892
C2×#117186342
#131130882
#131130652
#131130642
#131130622
C4×#880712
C2×C13×#3912
#1393513