Finite Group Databasebeta

← C13×#15464 #15701803

Subgroups — C13×#15464 #15701803

Order 3328.

1934 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C13×#123C211yesmaximal, characteristic
2C2×C13×#400C211yesmaximal, characteristic, complemented
3C2×C13×#398C211yesmaximal, characteristic, complemented
4C2×C13×#390C211yesmaximal, characteristic
5C13×#1440C212yesmaximal, complemented
6C13×#1439C212yesmaximal, complemented
7C13×#1439C212yesmaximal, complemented
8C13×#1438C211yesmaximal, characteristic
9C13×#1436C211yesmaximal, characteristic, complemented
10C13×#1436C211yesmaximal, characteristic, complemented
11C13×C22⋊#95C212yesmaximal, complemented
12C23×D4×C13C2211yescharacteristic
13C24×C4×C13C2211yescharacteristic
14C2×C13×#123—24no—
15C2×C13×#123—24no—
16C2×C13×#123—24no—
17C22×C13×C4⋊C4C2211yescharacteristic
18C22×C13×C4⋊C4C2211yescharacteristic
19C22×C13×C4⋊C4C2211yescharacteristic
20C22×C13×C4⋊C4C2212yes—
21C22×C13×C22⋊C4C2211yescharacteristic
22C22×C13×C22⋊C4C2211yescharacteristic
23C22×C13×C22⋊C4C2211yescharacteristic
24C22×C13×C22⋊C4C2212yes—
25C22×C13×C22⋊C4C2212yes—
26C22×C13×C22⋊C4C2212yes—
27C22×C13×C22⋊C4C2212yes—
28C22×C42×C13C2211yescharacteristic
29C13×#400—24no—
30C13×#398—24no—
31C13×#390—24no—
32C2×C13×#95C2212yes—
33C2×C13×#95C2211yescharacteristic
34C2×C13×#95C2212yes—
35C2×C13×#95C2211yescharacteristic
36C2×C13×#95C2212yes—
37C2×C13×#95C2212yes—
38C2×C13×#95C2212yes—
39C2×C13×#95C2212yes—
40C2×C13×#95C2212yes—
41C25×C13C2311yescharacteristic
42C25×C13C2311yescharacteristic
43C22×D4×C13—24no—
44C22×D4×C13—22no—
45C22×D4×C13—22no—
46C22×D4×C13—42no—
47C22×D4×C13D414yes—
48C23×C4×C13—22no—
49C23×C4×C13—22no—
50C23×C4×C13—22no—
51C23×C4×C13—24no—
52C23×C4×C13—42no—
53C23×C4×C13C2312yes—
54C23×C4×C13C2312yes—
55C23×C4×C13C2311yescharacteristic
56C23×C4×C13C2311yescharacteristic
57C23×C4×C13C2311yescharacteristic
58C23×C4×C13C2311yescharacteristic
59C23×C4×C13C2312yes—
60C23×C4×C13C2312yes—
61C23×C4×C13C2311yescharacteristic
62C13×#123—232no—
63C2×C13×C4⋊C4—22no—
64C2×C13×C4⋊C4—22no—
65C2×C13×C4⋊C4—22no—
66C2×C13×C4⋊C4—22no—
67C2×C13×C4⋊C4—22no—
68C2×C13×C4⋊C4—24no—
69C2×C13×C4⋊C4—22no—
70C2×C13×C4⋊C4—22no—
71C2×C13×C4⋊C4—42no—
72C2×C13×C4⋊C4—42no—
73C2×C13×C4⋊C4D414yes—
74C2×C13×C4⋊C4D414yes—
75C2×C13×C22⋊C4—22no—
76C2×C13×C22⋊C4—22no—
77C2×C13×C22⋊C4—22no—
78C2×C13×C22⋊C4—22no—
79C2×C13×C22⋊C4—22no—
80C2×C13×C22⋊C4—22no—
81C2×C13×C22⋊C4—22no—
82C2×C13×C22⋊C4—22no—
83C2×C13×C22⋊C4—22no—
84C2×C13×C22⋊C4—24no—
85C2×C13×C22⋊C4—24no—
86C2×C13×C22⋊C4—24no—
87C2×C13×C22⋊C4—24no—
88C2×C13×C22⋊C4—24no—
89C2×C13×C22⋊C4—24no—
90C2×C13×C22⋊C4—24no—
91C2×C13×C22⋊C4—42no—
92C2×C13×C22⋊C4—42no—
93C2×C13×C22⋊C4—42no—
94C2×C13×C22⋊C4—42no—
95C2×C13×C22⋊C4—42no—
96C2×C42×C13—22no—
97C2×C42×C13—42no—
98C13×#95—22no—
99C13×#95—24no—
100C13×#95—22no—
101C13×#95—24no—
102C13×#95—24no—
103C13×#95—24no—
104C13×#95—24no—
105C13×#95—42no—
106C13×#95—42no—
107#15464C1311yesmaximal, characteristic, direct product factor, Sylow
108C24×C13—21no—
109C24×C13—21no—
110C24×C13—22no—
111C24×C13—22no—
112C24×C13—22no—
113C24×C13—22no—
114C24×C13—22no—
115C24×C13—21no—
116C24×C13—21no—
117C24×C13—22no—
118C24×C13—22no—
119C24×C13—22no—
120C24×C13—22no—
121C24×C13—22no—
122C24×C13—22no—
123C24×C13C2×D412yes—
124C24×C13C2×D412yes—
125C24×C13#4114yes—
126C24×C13C2411yescharacteristic
127C2×D4×C13—28no—
128C2×D4×C13—28no—
129C2×D4×C13—44no—
130C2×D4×C13—48no—
131C2×D4×C13—48no—
132C22×C4×C13—22no—
133C22×C4×C13—22no—
134C22×C4×C13—28no—
135C22×C4×C13—22no—
136C22×C4×C13—22no—
137C22×C4×C13—21no—
138C22×C4×C13—21no—
139C22×C4×C13—21no—
140C22×C4×C13—21no—
141C22×C4×C13—21no—
142C22×C4×C13—21no—
143C22×C4×C13—21no—
144C22×C4×C13—21no—
145C22×C4×C13—22no—
146C22×C4×C13—22no—
147C22×C4×C13—22no—
148C22×C4×C13—22no—
149C22×C4×C13—22no—
150C22×C4×C13—22no—
151C22×C4×C13—22no—
152C22×C4×C13—22no—
153C22×C4×C13—22no—
154C22×C4×C13—22no—
155C22×C4×C13—22no—
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—48no—
178C22×C4×C13—48no—
179C22×C4×C13—44no—
180C22×C4×C13—44no—
181C22×C4×C13C2×D412yes—
182C22×C4×C13C2×D412yes—
183C22×C4×C13C2×D412yes—
184C22×C4×C13C2×D412yes—
185C22×C4×C13C2×D412yes—
186C22×C4×C13C2×D412yes—
187C22×C4×C13C2×D412yes—
188C22×C4×C13#4114yes—
189C22×C4×C13#4114yes—
190C13×C4⋊C4—28no—
191C13×C4⋊C4—28no—
192C13×C4⋊C4—48no—
193C13×C4⋊C4—44no—
194C13×C22⋊C4—28no—
195C13×C22⋊C4—28no—
196C13×C22⋊C4—28no—
197C13×C22⋊C4—48no—
198C13×C22⋊C4—48no—
199C13×C22⋊C4—48no—
200C13×C22⋊C4—48no—
201C42×C13—44no—
202C22×#123C2×C1311yescharacteristic
203C2×#400C2×C1311yescharacteristic, complemented
204C2×#398C2×C1311yescharacteristic, complemented
205C2×#390C2×C1311yescharacteristic
206#1440C2×C1312yescomplemented
207#1439C2×C1312yescomplemented
208#1439C2×C1312yescomplemented
209#1438C2×C1311yescharacteristic
210#1436C2×C1311yescharacteristic, complemented
211#1436C2×C1311yescharacteristic, complemented
212C22⋊#95C2×C1312yescomplemented
213C23×C13—22no—
214C23×C13—24no—
215C23×C13—22no—
216C23×C13—24no—
217C23×C13—24no—
218C23×C13—24no—
219C23×C13—24no—
220C23×C13—24no—
221C23×C13—24no—
222C23×C13—24no—
223C23×C13—22no—
224C23×C13—22no—
225C23×C13—22no—
226C23×C13—24no—
227C23×C13—24no—
228C23×C13—41no—
229C23×C13—41no—
230C23×C13—41no—
231C23×C13—41no—
232C23×C13—42no—
233C23×C13—42no—
234C23×C13—42no—
235C23×C13—42no—
236C23×C13—42no—
237C23×C13—42no—
238C23×C13—42no—
239C23×C13—41no—
240C23×C13—41no—
241C23×C13—41no—
242C23×C13—41no—
243C23×C13—42no—
244C23×C13—42no—
245C23×C13—42no—
246C23×C13—42no—
247C23×C13—42no—
248C23×C13—42no—
249C23×C13—42no—
250C23×C13—42no—
251C23×C13—42no—
252C23×C13—42no—
253C23×C13—42no—
254C23×C13#12314yes—
255C23×C13C22×D411yescharacteristic
256C23×C13C22×D411yescharacteristic
257C23×C13C22×D411yescharacteristic
258C23×C13C2×#4112yes—
259C23×C13C2×#4112yes—
260C23×C13C2×#4112yes—
261C23×C13H(5,𝔽2)12yes—
262C23×C13H(5,𝔽2)12yes—
263C23×C132−1+412yes—
264D4×C13—416no—
265C2×C4×C13—22no—
266C2×C4×C13—22no—
267C2×C4×C13—24no—
268C2×C4×C13—24no—
269C2×C4×C13—22no—
270C2×C4×C13—22no—
271C2×C4×C13—22no—
272C2×C4×C13—22no—
273C2×C4×C13—22no—
274C2×C4×C13—22no—
275C2×C4×C13—22no—
276C2×C4×C13—22no—
277C2×C4×C13—24no—
278C2×C4×C13—24no—
279C2×C4×C13—24no—
280C2×C4×C13—24no—
281C2×C4×C13—24no—
282C2×C4×C13—24no—
283C2×C4×C13—24no—
284C2×C4×C13—24no—
285C2×C4×C13—416no—
286C2×C4×C13—41no—
287C2×C4×C13—41no—
288C2×C4×C13—42no—
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—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—42no—
307C2×C4×C13—42no—
308C2×C4×C13—42no—
309C2×C4×C13—42no—
310C2×C4×C13—42no—
311C2×C4×C13—42no—
312C2×C4×C13—42no—
313C2×C4×C13—42no—
314C2×C4×C13—42no—
315C2×C4×C13—42no—
316C2×C4×C13—42no—
317C2×C4×C13—42no—
318C2×C4×C13#12014yes—
319C23×D4C22×C1311yescharacteristic
320C24×C4C22×C1311yescharacteristic
321C2×#123—24no—
322C2×#123—24no—
323C2×#123—24no—
324C22×C4⋊C4C22×C1311yescharacteristic
325C22×C4⋊C4C22×C1311yescharacteristic
326C22×C4⋊C4C22×C1311yescharacteristic
327C22×C4⋊C4C22×C1312yes—
328C22×C22⋊C4C22×C1311yescharacteristic
329C22×C22⋊C4C22×C1311yescharacteristic
330C22×C22⋊C4C22×C1311yescharacteristic
331C22×C22⋊C4C22×C1312yes—
332C22×C22⋊C4C22×C1312yes—
333C22×C22⋊C4C22×C1312yes—
334C22×C22⋊C4C22×C1312yes—
335C22×C42C22×C1311yescharacteristic
336#400—24no—
337#398—24no—
338#390—24no—
339C2×#95C22×C1312yes—
340C2×#95C22×C1311yescharacteristic
341C2×#95C22×C1312yes—
342C2×#95C22×C1311yescharacteristic
343C2×#95C22×C1312yes—
344C2×#95C22×C1312yes—
345C2×#95C22×C1312yes—
346C2×#95C22×C1312yes—
347C2×#95C22×C1312yes—
348C22×C13—24no—
349C22×C13—28no—
350C22×C13—42no—
351C22×C13—42no—
352C22×C13—44no—
353C22×C13—44no—
354C22×C13—44no—
355C22×C13—44no—
356C22×C13—44no—
357C22×C13—42no—
358C22×C13—44no—
359C22×C13—42no—
360C22×C13—42no—
361C22×C13—44no—
362C22×C13—82no—
363C22×C13—82no—
364C22×C13—82no—
365C22×C13—82no—
366C22×C13C2×#12011yescharacteristic
367C22×C13C2×#12311yescharacteristic
368C22×C13#52912yes—
369C22×C13#53211yescharacteristic
370C22×C13#53211yescharacteristic
371C22×C13#53411yescharacteristic
372C22×C13#53511yescharacteristic
373C22×C13#53611yescharacteristic
374C22×C13#53812yes—
375C22×C13#53912yes—
376C22×C13#53912yes—
377C22×C13#54612yes—
378C22×C13#54612yes—
379C22×C13#54612yes—
380C22×C13#54712yes—
381C22×C13#54812yes—
382C22×C13#55012yes—
383C22×C13#55112yes—
384C22×C13#55212yes—
385C22×C13#55312yes—
386C22×C13#56212yes—
387C4×C13—24no—
388C4×C13—42no—
389C4×C13—42no—
390C4×C13—42no—
391C4×C13—42no—
392C4×C13—44no—
393C4×C13—44no—
394C4×C13—82no—
395C4×C13—82no—
396C25C23×C1311yescharacteristic
397C25C23×C1311yescharacteristic
398C22×D4—24no—
399C22×D4—22no—
400C22×D4—22no—
401C22×D4—42no—
402C22×D4D4×C1314yes—
403C23×C4—22no—
404C23×C4—22no—
405C23×C4—22no—
406C23×C4—24no—
407C23×C4—42no—
408C23×C4C23×C1312yes—
409C23×C4C23×C1312yes—
410C23×C4C23×C1311yescharacteristic
411C23×C4C23×C1311yescharacteristic
412C23×C4C23×C1311yescharacteristic
413C23×C4C23×C1311yescharacteristic
414C23×C4C23×C1312yes—
415C23×C4C23×C1312yes—
416C23×C4C23×C1311yescharacteristic
417#123—232no—
418C2×C4⋊C4—22no—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—22no—
422C2×C4⋊C4—22no—
423C2×C4⋊C4—24no—
424C2×C4⋊C4—22no—
425C2×C4⋊C4—22no—
426C2×C4⋊C4—42no—
427C2×C4⋊C4—42no—
428C2×C4⋊C4D4×C1314yes—
429C2×C4⋊C4D4×C1314yes—
430C2×C22⋊C4—22no—
431C2×C22⋊C4—22no—
432C2×C22⋊C4—22no—
433C2×C22⋊C4—22no—
434C2×C22⋊C4—22no—
435C2×C22⋊C4—22no—
436C2×C22⋊C4—22no—
437C2×C22⋊C4—22no—
438C2×C22⋊C4—22no—
439C2×C22⋊C4—24no—
440C2×C22⋊C4—24no—
441C2×C22⋊C4—24no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—24no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—24no—
446C2×C22⋊C4—42no—
447C2×C22⋊C4—42no—
448C2×C22⋊C4—42no—
449C2×C22⋊C4—42no—
450C2×C22⋊C4—42no—
451C2×C42—22no—
452C2×C42—42no—
453#95—22no—
454#95—24no—
455#95—22no—
456#95—24no—
457#95—24no—
458#95—24no—
459#95—24no—
460#95—42no—
461#95—42no—
462C2×C13—44no—
463C2×C13—82no—
464C2×C13#240511yescharacteristic
465C2×C13#241912yes—
466C2×C13#243111yescharacteristic
467C2×C13#243211yescharacteristic
468C2×C13#255412yes—
469C2×C13#255812yes—
470C2×C13#269412yes—
471C2×C13#269612yes—
472C2×C13#270812yes—
473C24—21no—
474C24—21no—
475C24—22no—
476C24—22no—
477C24—22no—
478C24—22no—
479C24—22no—
480C24—21no—
481C24—21no—
482C24—22no—
483C24—22no—
484C24—22no—
485C24—22no—
486C24—22no—
487C24—22no—
488C24C2×D4×C1312yes—
489C24C2×D4×C1312yes—
490C24C13×#4114yes—
491C24C24×C1311yescharacteristic
492C2×D4—28no—
493C2×D4—28no—
494C2×D4—44no—
495C2×D4—48no—
496C2×D4—48no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—28no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
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—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—48no—
543C22×C4—48no—
544C22×C4—44no—
545C22×C4—44no—
546C22×C4C2×D4×C1312yes—
547C22×C4C2×D4×C1312yes—
548C22×C4C2×D4×C1312yes—
549C22×C4C2×D4×C1312yes—
550C22×C4C2×D4×C1312yes—
551C22×C4C2×D4×C1312yes—
552C22×C4C2×D4×C1312yes—
553C22×C4C13×#4114yes—
554C22×C4C13×#4114yes—
555C4⋊C4—28no—
556C4⋊C4—28no—
557C4⋊C4—48no—
558C4⋊C4—44no—
559C22⋊C4—28no—
560C22⋊C4—28no—
561C22⋊C4—28no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C42—44no—
567C13#1546411yescharacteristic, direct product factor, Sylow
568C23—22no—
569C23—24no—
570C23—22no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—24no—
582C23—24no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23C13×#12314yes—
610C23C22×D4×C1311yescharacteristic
611C23C22×D4×C1311yescharacteristic
612C23C22×D4×C1311yescharacteristic
613C23C2×C13×#4112yes—
614C23C2×C13×#4112yes—
615C23C2×C13×#4112yes—
616C23C13×H(5,𝔽2)12yes—
617C23C13×H(5,𝔽2)12yes—
618C23C13×2−1+412yes—
619D4—416no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—416no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
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×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4C13×#12014yes—
674C22—24no—
675C22—28no—
676C22—44no—
677C22—44no—
678C22—42no—
679C22—42no—
680C22—44no—
681C22—44no—
682C22—44no—
683C22—42no—
684C22—44no—
685C22—42no—
686C22—42no—
687C22—44no—
688C22—82no—
689C22—82no—
690C22—82no—
691C22—82no—
692C22C2×C13×#12011yescharacteristic
693C22C2×C13×#12311yescharacteristic
694C22C13×#52912yes—
695C22C13×#53211yescharacteristic
696C22C13×#53211yescharacteristic
697C22C13×#53411yescharacteristic
698C22C13×#53511yescharacteristic
699C22C13×#53611yescharacteristic
700C22C13×#53812yes—
701C22C13×#53912yes—
702C22C13×#53912yes—
703C22C13×#54612yes—
704C22C13×#54612yes—
705C22C13×#54612yes—
706C22C13×#54712yes—
707C22C13×#54812yes—
708C22C13×#55012yes—
709C22C13×#55112yes—
710C22C13×#55212yes—
711C22C13×#55312yes—
712C22C13×#56212yes—
713C4—24no—
714C4—42no—
715C4—42no—
716C4—42no—
717C4—42no—
718C4—44no—
719C4—44no—
720C4—82no—
721C4—82no—
722C2—44no—
723C2—82no—
724C2C13×#240511yescharacteristic
725C2C13×#241912yes—
726C2C13×#243111yescharacteristic
727C2C13×#243211yescharacteristic
728C2C13×#255412yes—
729C2C13×#255812yes—
730C2C13×#269412yes—
731C2C13×#269612yes—
732C2C13×#270812yes—
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
2. C2×C13×#400C2semidirect
3. C2×C13×#398C2semidirect
5. C13×#1440C2semidirect
6. C13×#1439C2semidirect
7. C13×#1439C2semidirect
9. C13×#1436C2semidirect
10. C13×#1436C2semidirect
11. C13×C22⋊#95C2semidirect
107. #15464C13direct (N × H)
203. C2×#400C2×C13semidirect
204. C2×#398C2×C13semidirect
206. #1440C2×C13semidirect
207. #1439C2×C13semidirect
208. #1439C2×C13semidirect
210. #1436C2×C13semidirect
211. #1436C2×C13semidirect
212. C22⋊#95C2×C13semidirect
567. C13#15464direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C13×#1232
C2×C13×#4002
C2×C13×#3982
C2×C13×#3902
C13×#14402
C13×#14392
C13×#14382
C13×#14362
C13×C22⋊#952
#1546413