Finite Group Databasebeta

← C13×#15265 #15701604

Subgroups — C13×#15265 #15701604

Order 3328.

2186 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C13×C4⋊Q8C211yesmaximal, characteristic, complemented
2C22×C13×C22⋊Q8C211yesmaximal, characteristic
3C2×C13×#395C211yesmaximal, characteristic, complemented
4C2×C13×#393C211yesmaximal, characteristic
5C2×C13×#385C212yesmaximal
6C13×#1446C211yesmaximal, characteristic, complemented
7C13×#1444C212yesmaximal, complemented
8C13×#1441C212yesmaximal, complemented
9C13×#1439C212yesmaximal
10C13×#1437C211yesmaximal, characteristic
11C13×#1436C211yesmaximal, characteristic, complemented
12C23×Q8×C13C2211yescharacteristic
13C23×Q8×C13C2211yescharacteristic
14C24×C4×C13C2211yescharacteristic
15C2×C13×C4⋊Q8—24no—
16C2×C13×C4⋊Q8—28no—
17C2×C13×C22⋊Q8—24no—
18C2×C13×C22⋊Q8—24no—
19C2×C13×C22⋊Q8—24no—
20C22×C13×C4⋊C4C2211yescharacteristic
21C22×C13×C4⋊C4C2211yescharacteristic
22C22×C13×C4⋊C4C2212yes—
23C22×C13×C4⋊C4C2212yes—
24C22×C13×C4⋊C4C2212yes—
25C22×C13×C4⋊C4C2211yescharacteristic
26C22×C13×C22⋊C4C2211yescharacteristic
27C22×C13×C22⋊C4C2212yes—
28C22×C13×C22⋊C4C2211yescharacteristic
29C22×C13×C22⋊C4C2212yes—
30C22×C42×C13C2211yescharacteristic
31C13×#395—24no—
32C13×#393—24no—
33C13×#385—28no—
34C2×C13×#95C2212yes—
35C2×C13×#95C2212yes—
36C2×C13×#95C2211yescharacteristic
37C2×C13×#95C2212yes—
38C2×C13×#95C2211yescharacteristic
39C2×C13×#95C2212yes—
40C2×C13×#95C2212yes—
41C2×C13×#95C2212yes—
42C2×C13×#95C2212yes—
43C25×C13C2311yescharacteristic
44C22×Q8×C13—22no—
45C22×Q8×C13—22no—
46C22×Q8×C13—24no—
47C22×Q8×C13—24no—
48C22×Q8×C13—22no—
49C22×Q8×C13—22no—
50C22×Q8×C13—22no—
51C22×Q8×C13—42no—
52C22×Q8×C13—42no—
53C22×Q8×C13D414yes—
54C23×C4×C13—22no—
55C23×C4×C13—22no—
56C23×C4×C13—22no—
57C23×C4×C13—24no—
58C23×C4×C13—42no—
59C23×C4×C13C2312yes—
60C23×C4×C13C2312yes—
61C23×C4×C13C2311yescharacteristic
62C23×C4×C13C2311yescharacteristic
63C23×C4×C13C2311yescharacteristic
64C23×C4×C13C2311yescharacteristic
65C23×C4×C13C2312yes—
66C23×C4×C13C2311yescharacteristic
67C23×C4×C13C2311yescharacteristic
68C23×C4×C13C2312yes—
69C13×C4⋊Q8—232no—
70C13×C22⋊Q8—232no—
71C2×C13×C4⋊C4—22no—
72C2×C13×C4⋊C4—22no—
73C2×C13×C4⋊C4—22no—
74C2×C13×C4⋊C4—22no—
75C2×C13×C4⋊C4—22no—
76C2×C13×C4⋊C4—22no—
77C2×C13×C4⋊C4—22no—
78C2×C13×C4⋊C4—22no—
79C2×C13×C4⋊C4—24no—
80C2×C13×C4⋊C4—24no—
81C2×C13×C4⋊C4—24no—
82C2×C13×C4⋊C4—24no—
83C2×C13×C4⋊C4—24no—
84C2×C13×C4⋊C4—24no—
85C2×C13×C4⋊C4—24no—
86C2×C13×C4⋊C4—42no—
87C2×C13×C4⋊C4D418yes—
88C2×C13×C4⋊C4D414yes—
89C2×C13×C22⋊C4—22no—
90C2×C13×C22⋊C4—24no—
91C2×C13×C22⋊C4—22no—
92C2×C13×C22⋊C4—22no—
93C2×C13×C22⋊C4—22no—
94C2×C13×C22⋊C4—22no—
95C2×C13×C22⋊C4—24no—
96C2×C13×C22⋊C4—24no—
97C2×C13×C22⋊C4—24no—
98C2×C13×C22⋊C4—42no—
99C2×C13×C22⋊C4D414yes—
100C2×C13×C22⋊C4Q818yescomplemented
101C2×C42×C13—22no—
102C2×C42×C13—24no—
103C13×#95—24no—
104C13×#95—24no—
105C13×#95—24no—
106C13×#95—22no—
107C13×#95—22no—
108C13×#95—24no—
109C13×#95—24no—
110C13×#95—24no—
111C13×#95—42no—
112#15265C1311yesmaximal, characteristic, direct product factor, Sylow
113C24×C13—21no—
114C24×C13—21no—
115C24×C13—22no—
116C24×C13—22no—
117C24×C13—22no—
118C24×C13—22no—
119C24×C13—22no—
120C24×C13C2×D412yes—
121C24×C13C2×Q814yes—
122C24×C13C2411yescharacteristic
123C2×Q8×C13—28no—
124C2×Q8×C13—28no—
125C2×Q8×C13—28no—
126C2×Q8×C13—44no—
127C2×Q8×C13—48no—
128C2×Q8×C13—48no—
129C2×Q8×C13—48no—
130C2×Q8×C13—48no—
131C2×Q8×C13—44no—
132C2×Q8×C13—44no—
133C22×C4×C13—22no—
134C22×C4×C13—22no—
135C22×C4×C13—22no—
136C22×C4×C13—21no—
137C22×C4×C13—21no—
138C22×C4×C13—22no—
139C22×C4×C13—22no—
140C22×C4×C13—22no—
141C22×C4×C13—22no—
142C22×C4×C13—28no—
143C22×C4×C13—22no—
144C22×C4×C13—22no—
145C22×C4×C13—22no—
146C22×C4×C13—22no—
147C22×C4×C13—22no—
148C22×C4×C13—21no—
149C22×C4×C13—21no—
150C22×C4×C13—21no—
151C22×C4×C13—21no—
152C22×C4×C13—21no—
153C22×C4×C13—21no—
154C22×C4×C13—21no—
155C22×C4×C13—21no—
156C22×C4×C13—22no—
157C22×C4×C13—22no—
158C22×C4×C13—22no—
159C22×C4×C13—22no—
160C22×C4×C13—22no—
161C22×C4×C13—22no—
162C22×C4×C13—22no—
163C22×C4×C13—22no—
164C22×C4×C13—22no—
165C22×C4×C13—22no—
166C22×C4×C13—22no—
167C22×C4×C13—22no—
168C22×C4×C13—22no—
169C22×C4×C13—22no—
170C22×C4×C13—22no—
171C22×C4×C13—22no—
172C22×C4×C13—22no—
173C22×C4×C13—22no—
174C22×C4×C13—22no—
175C22×C4×C13—22no—
176C22×C4×C13—22no—
177C22×C4×C13—22no—
178C22×C4×C13—48no—
179C22×C4×C13—48no—
180C22×C4×C13—44no—
181C22×C4×C13—44no—
182C22×C4×C13C2×D412yes—
183C22×C4×C13C2×D412yes—
184C22×C4×C13C2×D412yes—
185C22×C4×C13C2×D414yes—
186C22×C4×C13C2×D412yes—
187C22×C4×C13C2×D412yes—
188C22×C4×C13C2×D412yes—
189C22×C4×C13C2×D414yes—
190C22×C4×C13C2×D412yes—
191C22×C4×C13C2×D412yes—
192C22×C4×C13C2×D414yes—
193C22×C4×C13C2×Q814yes—
194C22×C4×C13C2×Q814yes—
195C22×C4×C13#4114yes—
196C13×C4⋊C4—28no—
197C13×C4⋊C4—28no—
198C13×C4⋊C4—216no—
199C13×C4⋊C4—28no—
200C13×C4⋊C4—216no—
201C13×C4⋊C4—48no—
202C13×C22⋊C4—28no—
203C13×C22⋊C4—28no—
204C13×C22⋊C4—216no—
205C13×C22⋊C4—48no—
206C42×C13—28no—
207C22×C4⋊Q8C2×C1311yescharacteristic, complemented
208C22×C22⋊Q8C2×C1311yescharacteristic
209C2×#395C2×C1311yescharacteristic, complemented
210C2×#393C2×C1311yescharacteristic
211C2×#385C2×C1312yes—
212#1446C2×C1311yescharacteristic, complemented
213#1444C2×C1312yescomplemented
214#1441C2×C1312yescomplemented
215#1439C2×C1312yes—
216#1437C2×C1311yescharacteristic
217#1436C2×C1311yescharacteristic, complemented
218C23×C13—22no—
219C23×C13—24no—
220C23×C13—22no—
221C23×C13—24no—
222C23×C13—24no—
223C23×C13—24no—
224C23×C13—24no—
225C23×C13—24no—
226C23×C13—24no—
227C23×C13—24no—
228C23×C13—41no—
229C23×C13—41no—
230C23×C13—41no—
231C23×C13—42no—
232C23×C13—41no—
233C23×C13—42no—
234C23×C13—42no—
235C23×C13—42no—
236C23×C13—42no—
237C23×C13—42no—
238C23×C13C4⋊Q814yescomplemented
239C23×C13C22×D411yescharacteristic
240C23×C13C22×D412yes—
241C23×C13C22×D411yescharacteristic
242C23×C13C22×D411yescharacteristic
243C23×C13C22×Q812yes—
244C23×C13C2×#4112yes—
245C23×C13H(5,𝔽2)12yes—
246C23×C132−1+412yes—
247C23×C132−1+412yes—
248Q8×C13—416no—
249Q8×C13—416no—
250C2×C4×C13—24no—
251C2×C4×C13—22no—
252C2×C4×C13—22no—
253C2×C4×C13—22no—
254C2×C4×C13—22no—
255C2×C4×C13—24no—
256C2×C4×C13—24no—
257C2×C4×C13—24no—
258C2×C4×C13—24no—
259C2×C4×C13—24no—
260C2×C4×C13—24no—
261C2×C4×C13—24no—
262C2×C4×C13—24no—
263C2×C4×C13—24no—
264C2×C4×C13—22no—
265C2×C4×C13—22no—
266C2×C4×C13—22no—
267C2×C4×C13—22no—
268C2×C4×C13—22no—
269C2×C4×C13—24no—
270C2×C4×C13—24no—
271C2×C4×C13—22no—
272C2×C4×C13—22no—
273C2×C4×C13—22no—
274C2×C4×C13—24no—
275C2×C4×C13—24no—
276C2×C4×C13—24no—
277C2×C4×C13—24no—
278C2×C4×C13—24no—
279C2×C4×C13—24no—
280C2×C4×C13—416no—
281C2×C4×C13—41no—
282C2×C4×C13—42no—
283C2×C4×C13—41no—
284C2×C4×C13—42no—
285C2×C4×C13—41no—
286C2×C4×C13—42no—
287C2×C4×C13—41no—
288C2×C4×C13—42no—
289C2×C4×C13—42no—
290C2×C4×C13—42no—
291C2×C4×C13—42no—
292C2×C4×C13—42no—
293C2×C4×C13—42no—
294C2×C4×C13—42no—
295C2×C4×C13—42no—
296C2×C4×C13—42no—
297C2×C4×C13—42no—
298C2×C4×C13—42no—
299C2×C4×C13—42no—
300C2×C4×C13—42no—
301C2×C4×C13—42no—
302C2×C4×C13—42no—
303C2×C4×C13—42no—
304C2×C4×C13—42no—
305C2×C4×C13—42no—
306C2×C4×C13#12014yes—
307C2×C4×C13#12014yes—
308C2×C4×C13C22⋊Q818yescomplemented
309C23×Q8C22×C1311yescharacteristic
310C23×Q8C22×C1311yescharacteristic
311C24×C4C22×C1311yescharacteristic
312C2×C4⋊Q8—24no—
313C2×C4⋊Q8—28no—
314C2×C22⋊Q8—24no—
315C2×C22⋊Q8—24no—
316C2×C22⋊Q8—24no—
317C22×C4⋊C4C22×C1311yescharacteristic
318C22×C4⋊C4C22×C1311yescharacteristic
319C22×C4⋊C4C22×C1312yes—
320C22×C4⋊C4C22×C1312yes—
321C22×C4⋊C4C22×C1311yescharacteristic
322C22×C4⋊C4C22×C1312yes—
323C22×C22⋊C4C22×C1311yescharacteristic
324C22×C22⋊C4C22×C1312yes—
325C22×C22⋊C4C22×C1311yescharacteristic
326C22×C22⋊C4C22×C1312yes—
327C22×C42C22×C1311yescharacteristic
328#395—24no—
329#393—24no—
330#385—28no—
331C2×#95C22×C1311yescharacteristic
332C2×#95C22×C1312yes—
333C2×#95C22×C1311yescharacteristic
334C2×#95C22×C1312yes—
335C2×#95C22×C1312yes—
336C2×#95C22×C1312yes—
337C2×#95C22×C1312yes—
338C2×#95C22×C1312yes—
339C2×#95C22×C1312yes—
340C22×C13—24no—
341C22×C13—28no—
342C22×C13—42no—
343C22×C13—44no—
344C22×C13—44no—
345C22×C13—44no—
346C22×C13—42no—
347C22×C13—44no—
348C22×C13—44no—
349C22×C13C2×#12011yescharacteristic
350C22×C13C2×#12011yescharacteristic
351C22×C13C2×C22⋊Q812yes—
352C22×C13C2×C4⋊Q811yescharacteristic
353C22×C13#53211yescharacteristic
354C22×C13#53411yescharacteristic
355C22×C13#53612yes—
356C22×C13#53611yescharacteristic
357C22×C13#53611yescharacteristic
358C22×C13#54212yes—
359C22×C13#54412yes—
360C22×C13D4212yes—
361C22×C13D4212yes—
362C22×C13#54712yes—
363C22×C13#54812yes—
364C22×C13#54812yes—
365C22×C13D4×Q812yes—
366C22×C13D4×Q812yes—
367C22×C13D4×Q812yes—
368C22×C13#55412yes—
369C22×C13#56312yes—
370C4×C13—24no—
371C4×C13—24no—
372C4×C13—28no—
373C4×C13—42no—
374C4×C13—42no—
375C4×C13—44no—
376C4×C13—42no—
377C4×C13—42no—
378C4×C13—44no—
379C4×C13—82no—
380C25C23×C1311yescharacteristic
381C22×Q8—22no—
382C22×Q8—22no—
383C22×Q8—24no—
384C22×Q8—24no—
385C22×Q8—22no—
386C22×Q8—22no—
387C22×Q8—22no—
388C22×Q8—42no—
389C22×Q8—42no—
390C22×Q8D4×C1314yes—
391C23×C4—22no—
392C23×C4—22no—
393C23×C4—22no—
394C23×C4—24no—
395C23×C4—42no—
396C23×C4C23×C1312yes—
397C23×C4C23×C1312yes—
398C23×C4C23×C1311yescharacteristic
399C23×C4C23×C1311yescharacteristic
400C23×C4C23×C1311yescharacteristic
401C23×C4C23×C1311yescharacteristic
402C23×C4C23×C1312yes—
403C23×C4C23×C1311yescharacteristic
404C23×C4C23×C1311yescharacteristic
405C23×C4C23×C1312yes—
406C4⋊Q8—232no—
407C22⋊Q8—232no—
408C2×C4⋊C4—22no—
409C2×C4⋊C4—22no—
410C2×C4⋊C4—22no—
411C2×C4⋊C4—22no—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—22no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—24no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—24no—
420C2×C4⋊C4—24no—
421C2×C4⋊C4—24no—
422C2×C4⋊C4—24no—
423C2×C4⋊C4—42no—
424C2×C4⋊C4D4×C1314yes—
425C2×C4⋊C4D4×C1318yes—
426C2×C22⋊C4—22no—
427C2×C22⋊C4—22no—
428C2×C22⋊C4—22no—
429C2×C22⋊C4—22no—
430C2×C22⋊C4—22no—
431C2×C22⋊C4—24no—
432C2×C22⋊C4—24no—
433C2×C22⋊C4—24no—
434C2×C22⋊C4—24no—
435C2×C22⋊C4—42no—
436C2×C22⋊C4D4×C1314yes—
437C2×C22⋊C4Q8×C1318yescomplemented
438C2×C42—22no—
439C2×C42—24no—
440#95—24no—
441#95—24no—
442#95—24no—
443#95—22no—
444#95—22no—
445#95—24no—
446#95—24no—
447#95—24no—
448#95—42no—
449C2×C13—44no—
450C2×C13#240311yescharacteristic
451C2×C13#240912yes—
452C2×C13#243211yescharacteristic
453C2×C13#243411yescharacteristic
454C2×C13#244012yes—
455C2×C13#245212yes—
456C2×C13#267412yes—
457C2×C13#267712yes—
458C2×C13#272912yes—
459C24—21no—
460C24—21no—
461C24—22no—
462C24—22no—
463C24—22no—
464C24—22no—
465C24—22no—
466C24C2×D4×C1312yes—
467C24C2×Q8×C1314yes—
468C24C24×C1311yescharacteristic
469C2×Q8—28no—
470C2×Q8—28no—
471C2×Q8—28no—
472C2×Q8—44no—
473C2×Q8—48no—
474C2×Q8—48no—
475C2×Q8—48no—
476C2×Q8—48no—
477C2×Q8—44no—
478C2×Q8—44no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—28no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—48no—
525C22×C4—48no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4C2×D4×C1312yes—
529C22×C4C2×D4×C1312yes—
530C22×C4C2×D4×C1312yes—
531C22×C4C2×D4×C1314yes—
532C22×C4C2×D4×C1312yes—
533C22×C4C2×D4×C1312yes—
534C22×C4C2×D4×C1312yes—
535C22×C4C2×D4×C1314yes—
536C22×C4C2×D4×C1312yes—
537C22×C4C2×D4×C1312yes—
538C22×C4C2×D4×C1314yes—
539C22×C4C2×Q8×C1314yes—
540C22×C4C2×Q8×C1314yes—
541C22×C4C13×#4114yes—
542C4⋊C4—28no—
543C4⋊C4—28no—
544C4⋊C4—216no—
545C4⋊C4—28no—
546C4⋊C4—216no—
547C4⋊C4—48no—
548C22⋊C4—28no—
549C22⋊C4—28no—
550C22⋊C4—216no—
551C22⋊C4—48no—
552C42—28no—
553C13#1526511yescharacteristic, direct product factor, Sylow
554C23—22no—
555C23—24no—
556C23—22no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—42no—
568C23—41no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23C13×C4⋊Q814yescomplemented
575C23C22×D4×C1311yescharacteristic
576C23C22×D4×C1312yes—
577C23C22×D4×C1311yescharacteristic
578C23C22×D4×C1311yescharacteristic
579C23C22×Q8×C1312yes—
580C23C2×C13×#4112yes—
581C23C13×H(5,𝔽2)12yes—
582C23C13×2−1+412yes—
583C23C13×2−1+412yes—
584Q8—416no—
585Q8—416no—
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
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—22no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—416no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—41no—
620C2×C4—42no—
621C2×C4—41no—
622C2×C4—42no—
623C2×C4—41no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4C13×#12014yes—
643C2×C4C13×#12014yes—
644C2×C4C13×C22⋊Q818yescomplemented
645C22—24no—
646C22—28no—
647C22—42no—
648C22—44no—
649C22—44no—
650C22—44no—
651C22—42no—
652C22—44no—
653C22—44no—
654C22C2×C13×#12011yescharacteristic
655C22C2×C13×#12011yescharacteristic
656C22C2×C13×C22⋊Q812yes—
657C22C2×C13×C4⋊Q811yescharacteristic
658C22C13×#53211yescharacteristic
659C22C13×#53411yescharacteristic
660C22C13×#53612yes—
661C22C13×#53611yescharacteristic
662C22C13×#53611yescharacteristic
663C22C13×#54212yes—
664C22C13×#54412yes—
665C22D42×C1312yes—
666C22D42×C1312yes—
667C22C13×#54712yes—
668C22C13×#54812yes—
669C22C13×#54812yes—
670C22D4×Q8×C1312yes—
671C22D4×Q8×C1312yes—
672C22D4×Q8×C1312yes—
673C22C13×#55412yes—
674C22C13×#56312yes—
675C4—24no—
676C4—24no—
677C4—28no—
678C4—42no—
679C4—42no—
680C4—44no—
681C4—42no—
682C4—42no—
683C4—44no—
684C4—82no—
685C2—44no—
686C2C13×#240311yescharacteristic
687C2C13×#240912yes—
688C2C13×#243211yescharacteristic
689C2C13×#243411yescharacteristic
690C2C13×#244012yes—
691C2C13×#245212yes—
692C2C13×#267412yes—
693C2C13×#267712yes—
694C2C13×#272912yes—
subgroupG/H
center, socleC24×C13C24
commutator, Frattini, cosocleC24C24×C13
prime radicalC25×C13C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C13×C4⋊Q8C2semidirect
3. C2×C13×#395C2semidirect
6. C13×#1446C2semidirect
7. C13×#1444C2semidirect
8. C13×#1441C2semidirect
11. C13×#1436C2semidirect
100. C2×C13×C22⋊C4Q8semidirect
112. #15265C13direct (N × H)
207. C22×C4⋊Q8C2×C13semidirect
209. C2×#395C2×C13semidirect
212. #1446C2×C13semidirect
213. #1444C2×C13semidirect
214. #1441C2×C13semidirect
217. #1436C2×C13semidirect
238. C23×C13C4⋊Q8semidirect
308. C2×C4×C13C22⋊Q8semidirect
437. C2×C22⋊C4Q8×C13semidirect
553. C13#15265direct (N × H)
574. C23C13×C4⋊Q8semidirect
644. C2×C4C13×C22⋊Q8semidirect

Maximal subgroups

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

subgroupindex
C22×C13×C4⋊Q82
C22×C13×C22⋊Q82
C2×C13×#3952
C2×C13×#3932
C2×C13×#3852
C13×#14462
C13×#14442
C13×#14412
C13×#14392
C13×#14372
C13×#14362
#1526513