Finite Group Databasebeta

← C13×#16519 #15702858

Subgroups — C13×#16519 #15702858

Order 3328.

1690 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C13×#396C212yesmaximal, complemented
2C2×C13×#394C211yesmaximal, characteristic
3C2×C13×#390C211yesmaximal, characteristic
4C2×C13×#387C211yesmaximal, characteristic, complemented
5C2×C13×#382C211yesmaximal, characteristic, complemented
6C13×#1444C211yesmaximal, characteristic, complemented
7C13×#1441C211yesmaximal, characteristic, complemented
8C13×#1440C212yesmaximal, complemented
9C13×#1439C212yesmaximal, complemented
10C13×#1439C212yesmaximal, complemented
11C13×#1438C211yesmaximal, characteristic
12C23×D4×C13C2211yescharacteristic
13C22×C13×C4⋊C4C2211yescharacteristic
14C22×C13×C4⋊C4C2212yes—
15C22×C13×C4⋊C4C2211yescharacteristic
16C22×C13×C4⋊C4C2211yescharacteristic
17C22×C13×C4⋊C4C2212yes—
18C22×C13×C22⋊C4C2212yes—
19C22×C13×C22⋊C4C2212yes—
20C22×C13×C22⋊C4C2212yes—
21C22×C13×C22⋊C4C2212yes—
22C22×C13×C22⋊C4C2212yes—
23C22×C13×C22⋊C4C2212yes—
24C22×C42×C13C2211yescharacteristic
25C13×#396—28no—
26C13×#394—24no—
27C13×#390—24no—
28C13×#387—24no—
29C13×#382—24no—
30C2×C13×#95C2211yescharacteristic
31C2×C13×#95C2212yes—
32C2×C13×#95C2211yescharacteristic
33C2×C13×#95C2211yescharacteristic
34C2×C13×#95C2211yescharacteristic
35C2×C13×#95C2211yescharacteristic
36C2×C13×#95C2212yes—
37C2×C13×#95C2212yes—
38C2×C13×#95C2212yes—
39C2×C13×#95C2211yescharacteristic
40C25×C13C2312yes—
41C22×D4×C13—24no—
42C22×D4×C13—22no—
43C22×D4×C13—22no—
44C22×D4×C13—22no—
45C22×D4×C13—42no—
46C23×C4×C13C2312yes—
47C23×C4×C13C2312yes—
48C23×C4×C13C2311yescharacteristic
49C23×C4×C13C2311yescharacteristic
50C23×C4×C13C2311yescharacteristic
51C23×C4×C13C2311yescharacteristic
52C23×C4×C13C2311yescharacteristic
53C23×C4×C13C2312yes—
54C23×C4×C13C2311yescharacteristic
55C23×C4×C13C2311yescharacteristic
56C2×C13×C4⋊C4—22no—
57C2×C13×C4⋊C4—22no—
58C2×C13×C4⋊C4—24no—
59C2×C13×C4⋊C4—22no—
60C2×C13×C4⋊C4—22no—
61C2×C13×C4⋊C4—22no—
62C2×C13×C4⋊C4—24no—
63C2×C13×C4⋊C4—24no—
64C2×C13×C4⋊C4—22no—
65C2×C13×C4⋊C4—42no—
66C2×C13×C4⋊C4—42no—
67C2×C13×C4⋊C4—42no—
68C2×C13×C4⋊C4—42no—
69C2×C13×C4⋊C4D414yescomplemented
70C2×C13×C22⋊C4—24no—
71C2×C13×C22⋊C4—24no—
72C2×C13×C22⋊C4—24no—
73C2×C13×C22⋊C4—24no—
74C2×C13×C22⋊C4—24no—
75C2×C13×C22⋊C4—24no—
76C2×C13×C22⋊C4—24no—
77C2×C13×C22⋊C4—24no—
78C2×C13×C22⋊C4—24no—
79C2×C13×C22⋊C4—24no—
80C2×C13×C22⋊C4—42no—
81C2×C13×C22⋊C4—42no—
82C2×C13×C22⋊C4—42no—
83C2×C13×C22⋊C4—42no—
84C2×C13×C22⋊C4—42no—
85C2×C13×C22⋊C4—42no—
86C2×C13×C22⋊C4—42no—
87C2×C13×C22⋊C4—42no—
88C2×C42×C13—22no—
89C2×C42×C13—22no—
90C2×C42×C13D414yes—
91C13×#95—24no—
92C13×#95—22no—
93C13×#95—22no—
94C13×#95—22no—
95C13×#95—22no—
96C13×#95—22no—
97C13×#95—24no—
98C13×#95—42no—
99C13×#95—42no—
100C13×#95D414yes—
101#16519C1311yesmaximal, characteristic, direct product factor, Sylow
102C24×C13—22no—
103C24×C13—22no—
104C24×C13—22no—
105C24×C13—22no—
106C24×C13—22no—
107C24×C13—22no—
108C24×C13—22no—
109C24×C13—22no—
110C24×C13—22no—
111C24×C13—22no—
112C24×C13—22no—
113C24×C13—22no—
114C24×C13—22no—
115C24×C13—22no—
116C24×C13#4114yes—
117C24×C13C2411yescharacteristic
118C2×D4×C13—28no—
119C2×D4×C13—48no—
120C2×D4×C13—48no—
121C2×D4×C13—44no—
122C2×D4×C13—44no—
123C22×C4×C13—21no—
124C22×C4×C13—21no—
125C22×C4×C13—22no—
126C22×C4×C13—21no—
127C22×C4×C13—22no—
128C22×C4×C13—21no—
129C22×C4×C13—21no—
130C22×C4×C13—21no—
131C22×C4×C13—21no—
132C22×C4×C13—21no—
133C22×C4×C13—22no—
134C22×C4×C13—21no—
135C22×C4×C13—22no—
136C22×C4×C13—21no—
137C22×C4×C13—21no—
138C22×C4×C13—21no—
139C22×C4×C13—22no—
140C22×C4×C13—22no—
141C22×C4×C13—21no—
142C22×C4×C13—22no—
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—22no—
152C22×C4×C13—22no—
153C22×C4×C13—22no—
154C22×C4×C13—22no—
155C22×C4×C13—21no—
156C22×C4×C13—22no—
157C22×C4×C13—22no—
158C22×C4×C13—22no—
159C22×C4×C13—22no—
160C22×C4×C13—21no—
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—21no—
168C22×C4×C13—22no—
169C22×C4×C13—22no—
170C22×C4×C13—22no—
171C22×C4×C13—21no—
172C22×C4×C13—22no—
173C22×C4×C13C2×D412yes—
174C22×C4×C13C2×D412yes—
175C22×C4×C13C2×D414yes—
176C22×C4×C13C2×D412yes—
177C22×C4×C13C2×D412yes—
178C22×C4×C13C2×D412yes—
179C22×C4×C13C2×D412yes—
180C22×C4×C13C2×D412yes—
181C22×C4×C13#4112yes—
182C22×C4×C13#4112yes—
183C13×C4⋊C4—28no—
184C13×C4⋊C4—48no—
185C13×C4⋊C4—44no—
186C13×C4⋊C4—48no—
187C13×C4⋊C4—44no—
188C13×C22⋊C4—48no—
189C13×C22⋊C4—48no—
190C13×C22⋊C4—48no—
191C13×C22⋊C4—48no—
192C13×C22⋊C4—48no—
193C13×C22⋊C4—48no—
194C42×C13—28no—
195C2×#396C2×C1312yescomplemented
196C2×#394C2×C1311yescharacteristic
197C2×#390C2×C1311yescharacteristic
198C2×#387C2×C1311yescharacteristic, complemented
199C2×#382C2×C1311yescharacteristic, complemented
200#1444C2×C1311yescharacteristic, complemented
201#1441C2×C1311yescharacteristic, complemented
202#1440C2×C1312yescomplemented
203#1439C2×C1312yescomplemented
204#1439C2×C1312yescomplemented
205#1438C2×C1311yescharacteristic
206C23×C13—24no—
207C23×C13—24no—
208C23×C13—24no—
209C23×C13—24no—
210C23×C13—24no—
211C23×C13—24no—
212C23×C13—24no—
213C23×C13—42no—
214C23×C13—42no—
215C23×C13—42no—
216C23×C13—42no—
217C23×C13—42no—
218C23×C13—42no—
219C23×C13—42no—
220C23×C13—42no—
221C23×C13—42no—
222C23×C13—42no—
223C23×C13—42no—
224C23×C13—42no—
225C23×C13—42no—
226C23×C13—42no—
227C23×C13—42no—
228C23×C13—42no—
229C23×C13—42no—
230C23×C13—42no—
231C23×C13—42no—
232C23×C13—42no—
233C23×C13—42no—
234C23×C13—42no—
235C23×C13—42no—
236C23×C13—42no—
237C23×C13—42no—
238C23×C13—42no—
239C23×C13—42no—
240C23×C13—42no—
241C23×C13C22×D411yescharacteristic
242C23×C13C22×D411yescharacteristic
243C23×C13C22×D411yescharacteristic
244C23×C13C2×#4111yescharacteristic
245C23×C13C2×#4111yescharacteristic
246C23×C13C2×#4112yes—
247C23×C13H(5,𝔽2)12yes—
248C23×C13H(5,𝔽2)12yes—
249C23×C13H(5,𝔽2)11yescharacteristic
250C23×C132−1+412yes—
251C23×C132−1+411yescharacteristic
252D4×C13—416no—
253C2×C4×C13—22no—
254C2×C4×C13—22no—
255C2×C4×C13—22no—
256C2×C4×C13—22no—
257C2×C4×C13—22no—
258C2×C4×C13—24no—
259C2×C4×C13—22no—
260C2×C4×C13—22no—
261C2×C4×C13—24no—
262C2×C4×C13—22no—
263C2×C4×C13—22no—
264C2×C4×C13—22no—
265C2×C4×C13—22no—
266C2×C4×C13—22no—
267C2×C4×C13—24no—
268C2×C4×C13—22no—
269C2×C4×C13—24no—
270C2×C4×C13—22no—
271C2×C4×C13—24no—
272C2×C4×C13—24no—
273C2×C4×C13—22no—
274C2×C4×C13—41no—
275C2×C4×C13—42no—
276C2×C4×C13—41no—
277C2×C4×C13—41no—
278C2×C4×C13—42no—
279C2×C4×C13—41no—
280C2×C4×C13—42no—
281C2×C4×C13—42no—
282C2×C4×C13—42no—
283C2×C4×C13—41no—
284C2×C4×C13—42no—
285C2×C4×C13—41no—
286C2×C4×C13—42no—
287C2×C4×C13—42no—
288C2×C4×C13—41no—
289C2×C4×C13—41no—
290C2×C4×C13—41no—
291C2×C4×C13—42no—
292C2×C4×C13—42no—
293C2×C4×C13—42no—
294C2×C4×C13—42no—
295C2×C4×C13—42no—
296C2×C4×C13—41no—
297C2×C4×C13—41no—
298C2×C4×C13—41no—
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—42no—
307C2×C4×C13—42no—
308C2×C4×C13—42no—
309C2×C4×C13—42no—
310C2×C4×C13—42no—
311C2×C4×C13#12114yes—
312C2×C4×C13#12114yes—
313C23×D4C22×C1311yescharacteristic
314C22×C4⋊C4C22×C1311yescharacteristic
315C22×C4⋊C4C22×C1312yes—
316C22×C4⋊C4C22×C1311yescharacteristic
317C22×C4⋊C4C22×C1312yes—
318C22×C4⋊C4C22×C1311yescharacteristic
319C22×C22⋊C4C22×C1312yes—
320C22×C22⋊C4C22×C1312yes—
321C22×C22⋊C4C22×C1312yes—
322C22×C22⋊C4C22×C1312yes—
323C22×C22⋊C4C22×C1312yes—
324C22×C22⋊C4C22×C1312yes—
325C22×C42C22×C1311yescharacteristic
326#396—28no—
327#394—24no—
328#390—24no—
329#387—24no—
330#382—24no—
331C2×#95C22×C1312yes—
332C2×#95C22×C1311yescharacteristic
333C2×#95C22×C1311yescharacteristic
334C2×#95C22×C1311yescharacteristic
335C2×#95C22×C1311yescharacteristic
336C2×#95C22×C1312yes—
337C2×#95C22×C1311yescharacteristic
338C2×#95C22×C1312yes—
339C2×#95C22×C1312yes—
340C2×#95C22×C1311yescharacteristic
341C22×C13—44no—
342C22×C13—44no—
343C22×C13—44no—
344C22×C13—44no—
345C22×C13—44no—
346C22×C13—44no—
347C22×C13—44no—
348C22×C13—82no—
349C22×C13—82no—
350C22×C13—82no—
351C22×C13—82no—
352C22×C13—82no—
353C22×C13—82no—
354C22×C13—82no—
355C22×C13—82no—
356C22×C13C2×#12111yescharacteristic
357C22×C13C2×#12111yescharacteristic
358C22×C13#52511yescharacteristic
359C22×C13#53511yescharacteristic
360C22×C13#53511yescharacteristic
361C22×C13#53512yes—
362C22×C13#53611yescharacteristic
363C22×C13#53711yescharacteristic
364C22×C13#53712yes—
365C22×C13#53812yes—
366C22×C13#53912yes—
367C22×C13#54012yes—
368C22×C13#54212yes—
369C22×C13D4211yescharacteristic
370C22×C13#54612yes—
371C22×C13#54711yescharacteristic
372C22×C13#54811yescharacteristic
373C22×C13#54812yes—
374C22×C13#55112yes—
375C22×C13#55212yes—
376C22×C13#55311yescharacteristic
377C22×C13#56212yes—
378C22×C13#56312yes—
379C4×C13—24no—
380C4×C13—24no—
381C4×C13—42no—
382C4×C13—42no—
383C4×C13—42no—
384C4×C13—44no—
385C4×C13—82no—
386C4×C13—81no—
387C4×C13—81no—
388C4×C13—82no—
389C25C23×C1312yes—
390C22×D4—24no—
391C22×D4—22no—
392C22×D4—22no—
393C22×D4—22no—
394C22×D4—42no—
395C23×C4C23×C1312yes—
396C23×C4C23×C1312yes—
397C23×C4C23×C1311yescharacteristic
398C23×C4C23×C1311yescharacteristic
399C23×C4C23×C1311yescharacteristic
400C23×C4C23×C1311yescharacteristic
401C23×C4C23×C1312yes—
402C23×C4C23×C1311yescharacteristic
403C23×C4C23×C1311yescharacteristic
404C23×C4C23×C1311yescharacteristic
405C2×C4⋊C4—22no—
406C2×C4⋊C4—22no—
407C2×C4⋊C4—24no—
408C2×C4⋊C4—22no—
409C2×C4⋊C4—22no—
410C2×C4⋊C4—22no—
411C2×C4⋊C4—24no—
412C2×C4⋊C4—24no—
413C2×C4⋊C4—22no—
414C2×C4⋊C4—42no—
415C2×C4⋊C4—42no—
416C2×C4⋊C4—42no—
417C2×C4⋊C4—42no—
418C2×C4⋊C4D4×C1314yescomplemented
419C2×C22⋊C4—24no—
420C2×C22⋊C4—24no—
421C2×C22⋊C4—24no—
422C2×C22⋊C4—24no—
423C2×C22⋊C4—24no—
424C2×C22⋊C4—24no—
425C2×C22⋊C4—24no—
426C2×C22⋊C4—24no—
427C2×C22⋊C4—24no—
428C2×C22⋊C4—24no—
429C2×C22⋊C4—42no—
430C2×C22⋊C4—42no—
431C2×C22⋊C4—42no—
432C2×C22⋊C4—42no—
433C2×C22⋊C4—42no—
434C2×C22⋊C4—42no—
435C2×C22⋊C4—42no—
436C2×C22⋊C4—42no—
437C2×C42—22no—
438C2×C42—22no—
439C2×C42D4×C1314yes—
440#95—24no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—24no—
447#95—42no—
448#95—42no—
449#95D4×C1314yes—
450C2×C13—84no—
451C2×C13#241111yescharacteristic
452C2×C13#241611yescharacteristic
453C2×C13#253611yescharacteristic
454C2×C13#261911yescharacteristic
455C2×C13#262011yescharacteristic
456C2×C13#263611yescharacteristic
457C2×C13#267612yes—
458C2×C13#270712yes—
459C2×C13#272312yes—
460C2×C13#276112yes—
461C2×C13#282011yescharacteristic
462C24—22no—
463C24—22no—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24—22no—
471C24—22no—
472C24—22no—
473C24—22no—
474C24—22no—
475C24—22no—
476C24C13×#4114yes—
477C24C24×C1311yescharacteristic
478C2×D4—28no—
479C2×D4—48no—
480C2×D4—48no—
481C2×D4—44no—
482C2×D4—44no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—21no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—21no—
532C22×C4—22no—
533C22×C4C2×D4×C1312yes—
534C22×C4C2×D4×C1312yes—
535C22×C4C2×D4×C1314yes—
536C22×C4C2×D4×C1312yes—
537C22×C4C2×D4×C1312yes—
538C22×C4C2×D4×C1312yes—
539C22×C4C2×D4×C1312yes—
540C22×C4C2×D4×C1312yes—
541C22×C4C13×#4112yes—
542C22×C4C13×#4112yes—
543C4⋊C4—28no—
544C4⋊C4—48no—
545C4⋊C4—44no—
546C4⋊C4—48no—
547C4⋊C4—44no—
548C22⋊C4—48no—
549C22⋊C4—48no—
550C22⋊C4—48no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—48no—
554C42—28no—
555C13#1651911yescharacteristic, direct product factor, Sylow
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—42no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23C22×D4×C1311yescharacteristic
592C23C22×D4×C1311yescharacteristic
593C23C22×D4×C1311yescharacteristic
594C23C2×C13×#4111yescharacteristic
595C23C2×C13×#4111yescharacteristic
596C23C2×C13×#4112yes—
597C23C13×H(5,𝔽2)12yes—
598C23C13×H(5,𝔽2)12yes—
599C23C13×H(5,𝔽2)11yescharacteristic
600C23C13×2−1+412yes—
601C23C13×2−1+411yescharacteristic
602D4—416no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—22no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—22no—
624C2×C4—41no—
625C2×C4—42no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—42no—
629C2×C4—41no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—41no—
634C2×C4—42no—
635C2×C4—41no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4C13×#12114yes—
662C2×C4C13×#12114yes—
663C22—44no—
664C22—44no—
665C22—44no—
666C22—44no—
667C22—44no—
668C22—44no—
669C22—44no—
670C22—82no—
671C22—82no—
672C22—82no—
673C22—82no—
674C22—82no—
675C22—82no—
676C22—82no—
677C22—82no—
678C22C2×C13×#12111yescharacteristic
679C22C2×C13×#12111yescharacteristic
680C22C13×#52511yescharacteristic
681C22C13×#53511yescharacteristic
682C22C13×#53511yescharacteristic
683C22C13×#53512yes—
684C22C13×#53611yescharacteristic
685C22C13×#53711yescharacteristic
686C22C13×#53712yes—
687C22C13×#53812yes—
688C22C13×#53912yes—
689C22C13×#54012yes—
690C22C13×#54212yes—
691C22D42×C1311yescharacteristic
692C22C13×#54612yes—
693C22C13×#54711yescharacteristic
694C22C13×#54812yes—
695C22C13×#54811yescharacteristic
696C22C13×#55112yes—
697C22C13×#55212yes—
698C22C13×#55311yescharacteristic
699C22C13×#56212yes—
700C22C13×#56312yes—
701C4—24no—
702C4—24no—
703C4—42no—
704C4—42no—
705C4—42no—
706C4—44no—
707C4—82no—
708C4—81no—
709C4—81no—
710C4—82no—
711C2—84no—
712C2C13×#241111yescharacteristic
713C2C13×#241611yescharacteristic
714C2C13×#253611yescharacteristic
715C2C13×#261911yescharacteristic
716C2C13×#262011yescharacteristic
717C2C13×#263611yescharacteristic
718C2C13×#267612yes—
719C2C13×#270712yes—
720C2C13×#272312yes—
721C2C13×#276112yes—
722C2C13×#282011yescharacteristic
subgroupG/H
center, socleC24×C13C24
commutator, Frattini, cosocleC24C24×C13
prime radicalC23×D4×C13C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C13×#396C2semidirect
4. C2×C13×#387C2semidirect
5. C2×C13×#382C2semidirect
6. C13×#1444C2semidirect
7. C13×#1441C2semidirect
8. C13×#1440C2semidirect
9. C13×#1439C2semidirect
10. C13×#1439C2semidirect
69. C2×C13×C4⋊C4D4semidirect
101. #16519C13direct (N × H)
195. C2×#396C2×C13semidirect
198. C2×#387C2×C13semidirect
199. C2×#382C2×C13semidirect
200. #1444C2×C13semidirect
201. #1441C2×C13semidirect
202. #1440C2×C13semidirect
203. #1439C2×C13semidirect
204. #1439C2×C13semidirect
418. C2×C4⋊C4D4×C13semidirect
555. C13#16519direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C13×#3962
C2×C13×#3942
C2×C13×#3902
C2×C13×#3872
C2×C13×#3822
C13×#14442
C13×#14412
C13×#14402
C13×#14392
C13×#14382
#1651913