Finite Group Databasebeta

← C13×#35079 #15721418

Subgroups — C13×#35079 #15721418

Order 3328.

2098 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#2857C212yesmaximal, complemented
2C13×#2851C212yesmaximal, complemented
3C13×#2667C212yesmaximal, complemented
4C13×#2665C212yesmaximal, complemented
5C13×#2569C212yesmaximal, complemented
6C13×#2549C212yesmaximal, complemented
7C13×#2442C212yesmaximal, complemented
8C13×#2441C212yesmaximal, complemented
9C13×#2440C212yesmaximal, complemented
10C13×#2439C212yesmaximal, complemented
11C13×#2437C214yesmaximal
12C13×#2329C214yesmaximal, complemented
13C13×#2280C211yesmaximal, characteristic
14C2×C13×#380C211yesmaximal, characteristic
15C2×C4×C13×C22⋊C4C211yesmaximal, characteristic
16C24×C4×C13C2211yescharacteristic
17C2×C13×C4⋊Q8C2212yescomplemented
18C2×C13×#125C2212yescomplemented
19C2×C13×C22⋊Q8C2214yes—
20C2×C13×C22⋊Q8C2214yes—
21C2×C13×#117C2212yes—
22C22×C13×C4⋊C4C2212yes—
23C22×C13×C22⋊C4C2212yes—
24C22×C13×C22⋊C4C2212yes—
25C22×C42×C13C2212yes—
26C13×#400C2214yescomplemented
27C13×#399C2214yes—
28C13×#398C2214yescomplemented
29C13×#398C2214yescomplemented
30C13×#396C2214yes—
31C13×#396C2214yes—
32C13×#395C2214yescomplemented
33C13×#393C2214yes—
34C13×#391C2214yescomplemented
35C13×#391C2214yescomplemented
36C13×#389C2214yescomplemented
37C13×#389C2214yescomplemented
38C13×#389C2212yescomplemented
39C13×#389C2212yescomplemented
40C13×#389C2212yescomplemented
41C13×#389C2212yescomplemented
42C13×#387C2214yescomplemented
43C13×#387C2214yescomplemented
44C13×#387C2214yescomplemented
45C13×#387C2214yescomplemented
46C13×#385C2214yes—
47C13×#385C2214yes—
48C13×#385C2214yes—
49C13×#385C2214yes—
50C13×#384C2212yescomplemented
51C13×#382C2212yescomplemented
52C13×#381C2212yes—
53C13×#380C2212yes—
54C13×#380C2212yes—
55C13×#380C2212yes—
56C13×#380C2211yescharacteristic
57C13×#380C2211yescharacteristic
58C13×#380C2211yescharacteristic
59C13×#380C2211yescharacteristic
60C13×#380C2212yes—
61C13×#380C2214yes—
62C13×#380C2214yes—
63C13×#379C2212yes—
64C4×C13×C22⋊C4C2212yes—
65C4×C13×C22⋊C4C2211yescharacteristic
66C4×C13×C22⋊C4C2211yescharacteristic
67C4×C13×C22⋊C4C2212yes—
68C4×C13×C22⋊C4C2211yescharacteristic
69C4×C13×C22⋊C4C2211yescharacteristic
70C4×C13×C22⋊C4C2212yes—
71C4×C13×C22⋊C4C2212yes—
72C2×C13×#95C2211yescharacteristic
73C2×C13×#95C2211yescharacteristic
74C2×C13×#95C2212yes—
75C25×C13C2311yescharacteristic
76C22×Q8×C13C2314yes—
77C23×C4×C13—44no—
78C23×C4×C13Q818yescomplemented
79C23×C4×C13C2312yes—
80C23×C4×C13C2312yes—
81C23×C4×C13C2311yescharacteristic
82C23×C4×C13C2311yescharacteristic
83C23×C4×C13C2311yescharacteristic
84C23×C4×C13C2314yes—
85C23×C4×C13C2311yescharacteristic
86C23×C4×C13C2311yescharacteristic
87C23×C4×C13C2311yescharacteristic
88C13×C4⋊Q8—44no—
89C13×#125—44no—
90C13×C22⋊Q8—216no—
91C13×C22⋊Q8—48no—
92C13×#117—44no—
93C2×C13×C4⋊C4—44no—
94C2×C13×C4⋊C4C2312yes—
95C2×C13×C4⋊C4C2312yes—
96C2×C13×C4⋊C4C2312yes—
97C2×C13×C4⋊C4C2312yes—
98C2×C13×C4⋊C4C2314yes—
99C2×C13×C4⋊C4C2314yes—
100C2×C13×C4⋊C4C2314yes—
101C2×C13×C4⋊C4C2314yes—
102C2×C13×C4⋊C4C2314yes—
103C2×C13×C4⋊C4C2314yes—
104C2×C13×C4⋊C4C2314yes—
105C2×C13×C4⋊C4C2314yes—
106C2×C13×C4⋊C4C2314yes—
107C2×C13×C4⋊C4C2314yes—
108C2×C13×C22⋊C4—28no—
109C2×C13×C22⋊C4—44no—
110C2×C13×C22⋊C4C2312yes—
111C2×C13×C22⋊C4C2312yes—
112C2×C13×C22⋊C4C2312yes—
113C2×C13×C22⋊C4C2312yes—
114C2×C13×C22⋊C4C2314yes—
115C2×C13×C22⋊C4C2312yes—
116C2×C13×C22⋊C4C2314yes—
117C2×C13×C22⋊C4C2314yes—
118C2×C13×C22⋊C4C2312yes—
119C2×C13×C22⋊C4C2312yes—
120C2×C13×C22⋊C4C2312yes—
121C2×C42×C13—44no—
122C2×C42×C13C2312yes—
123C2×C42×C13C2312yes—
124C2×C42×C13C2312yes—
125C2×C42×C13C2314yes—
126C2×C42×C13C2312yes—
127C13×#95C2312yes—
128C13×#95C2312yes—
129C13×#95C2311yescharacteristic
130C13×#95C2311yescharacteristic
131C13×#95C2311yescharacteristic
132C13×#95C2311yescharacteristic
133C13×#95C2312yes—
134C13×#95C2312yes—
135C13×#95C2314yes—
136C13×#95C2312yes—
137C13×#95C2314yes—
138C13×#95C2312yes—
139C13×#95C2314yes—
140C13×#95C2314yes—
141C13×#95C2314yes—
142C13×#95C2314yes—
143C13×#95C2314yes—
144C13×#95C2314yes—
145#35079C1311yesmaximal, characteristic, direct product factor, Sylow
146C24×C13—24no—
147C24×C13—22no—
148C24×C13—22no—
149C24×C13—42no—
150C24×C13C2×Q814yes—
151C24×C13C2411yescharacteristic
152C24×C13C2411yescharacteristic
153C24×C13C2411yescharacteristic
154C2×Q8×C13—28no—
155C2×Q8×C13—44no—
156C2×Q8×C13—44no—
157C22×C4×C13—24no—
158C22×C4×C13—24no—
159C22×C4×C13—24no—
160C22×C4×C13—24no—
161C22×C4×C13—24no—
162C22×C4×C13—28no—
163C22×C4×C13—24no—
164C22×C4×C13—24no—
165C22×C4×C13—416no—
166C22×C4×C13—42no—
167C22×C4×C13—42no—
168C22×C4×C13—42no—
169C22×C4×C13—42no—
170C22×C4×C13—42no—
171C22×C4×C13—44no—
172C22×C4×C13—44no—
173C22×C4×C13C2×Q814yes—
174C22×C4×C13C2×Q814yes—
175C22×C4×C13C2×Q814yes—
176C22×C4×C13C2×Q814yes—
177C22×C4×C13C2×Q814yes—
178C22×C4×C13C2×Q814yes—
179C22×C4×C13C2412yes—
180C22×C4×C13C2414yes—
181C22×C4×C13C2414yes—
182C22×C4×C13C2412yes—
183C22×C4×C13C2414yes—
184C22×C4×C13C2414yes—
185C22×C4×C13C2411yescharacteristic
186C22×C4×C13C2411yescharacteristic
187C22×C4×C13C2411yescharacteristic
188C22×C4×C13C2412yes—
189C22×C4×C13C2412yes—
190C22×C4×C13C2411yescharacteristic
191C13×C4⋊C4—28no—
192C13×C4⋊C4—28no—
193C13×C4⋊C4—28no—
194C13×C4⋊C4—24no—
195C13×C4⋊C4—24no—
196C13×C4⋊C4—24no—
197C13×C4⋊C4—24no—
198C13×C4⋊C4—44no—
199C13×C4⋊C4—44no—
200C13×C4⋊C4—44no—
201C13×C4⋊C4—44no—
202C13×C4⋊C4—44no—
203C13×C4⋊C4—44no—
204C13×C4⋊C4—44no—
205C13×C22⋊C4—24no—
206C13×C22⋊C4—28no—
207C13×C22⋊C4—28no—
208C13×C22⋊C4—24no—
209C13×C22⋊C4—24no—
210C13×C22⋊C4—24no—
211C13×C22⋊C4—24no—
212C13×C22⋊C4—42no—
213C13×C22⋊C4—42no—
214C13×C22⋊C4—44no—
215C13×C22⋊C4#4118yes—
216C42×C13—24no—
217C42×C13—24no—
218C42×C13—42no—
219C42×C13—42no—
220C42×C13—44no—
221#2857C2×C1312yescomplemented
222#2851C2×C1312yescomplemented
223#2667C2×C1312yescomplemented
224#2665C2×C1312yescomplemented
225#2569C2×C1312yescomplemented
226#2549C2×C1312yescomplemented
227#2442C2×C1312yescomplemented
228#2441C2×C1312yescomplemented
229#2440C2×C1312yescomplemented
230#2439C2×C1312yescomplemented
231#2437C2×C1314yes—
232#2329C2×C1314yescomplemented
233#2280C2×C1311yescharacteristic
234C2×#380C2×C1311yescharacteristic
235C2×C4×C22⋊C4C2×C1311yescharacteristic
236C23×C13—22no—
237C23×C13—22no—
238C23×C13—22no—
239C23×C13—21no—
240C23×C13—21no—
241C23×C13—28no—
242C23×C13—28no—
243C23×C13—22no—
244C23×C13—21no—
245C23×C13—22no—
246C23×C13—21no—
247C23×C13—44no—
248C23×C13—48no—
249C23×C13—48no—
250C23×C13C22×Q812yes—
251C23×C13C22×Q812yes—
252C23×C13C22×Q812yes—
253C23×C13C2×#4114yes—
254C23×C13H(5,𝔽2)12yes—
255C23×C132−1+412yes—
256C23×C13C2511yescharacteristic
257Q8×C13—88no—
258C2×C4×C13—22no—
259C2×C4×C13—22no—
260C2×C4×C13—22no—
261C2×C4×C13—22no—
262C2×C4×C13—22no—
263C2×C4×C13—22no—
264C2×C4×C13—22no—
265C2×C4×C13—28no—
266C2×C4×C13—28no—
267C2×C4×C13—28no—
268C2×C4×C13—22no—
269C2×C4×C13—22no—
270C2×C4×C13—24no—
271C2×C4×C13—24no—
272C2×C4×C13—24no—
273C2×C4×C13—24no—
274C2×C4×C13—22no—
275C2×C4×C13—22no—
276C2×C4×C13—24no—
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—22no—
284C2×C4×C13—24no—
285C2×C4×C13—22no—
286C2×C4×C13—44no—
287C2×C4×C13—44no—
288C2×C4×C13—44no—
289C2×C4×C13—48no—
290C2×C4×C13—48no—
291C2×C4×C13—88no—
292C2×C4×C13C22×Q812yes—
293C2×C4×C13C22×Q812yes—
294C2×C4×C13C22×Q812yes—
295C2×C4×C13C22×Q812yes—
296C2×C4×C13C2×#4114yes—
297C2×C4×C13C2×#4114yes—
298C2×C4×C13H(5,𝔽2)14yes—
299C24×C4C22×C1311yescharacteristic
300C2×C4⋊Q8C22×C1312yescomplemented
301C2×#125C22×C1312yescomplemented
302C2×C22⋊Q8C22×C1314yes—
303C2×C22⋊Q8C22×C1314yes—
304C2×#117C22×C1312yes—
305C22×C4⋊C4C22×C1312yes—
306C22×C22⋊C4C22×C1312yes—
307C22×C22⋊C4C22×C1312yes—
308C22×C42C22×C1312yes—
309#400C22×C1314yescomplemented
310#399C22×C1314yes—
311#398C22×C1314yescomplemented
312#398C22×C1314yescomplemented
313#396C22×C1314yes—
314#396C22×C1314yes—
315#395C22×C1314yescomplemented
316#393C22×C1314yes—
317#391C22×C1314yescomplemented
318#391C22×C1314yescomplemented
319#389C22×C1314yescomplemented
320#389C22×C1314yescomplemented
321#389C22×C1312yescomplemented
322#389C22×C1312yescomplemented
323#389C22×C1312yescomplemented
324#389C22×C1312yescomplemented
325#387C22×C1314yescomplemented
326#387C22×C1314yescomplemented
327#387C22×C1314yescomplemented
328#387C22×C1314yescomplemented
329#385C22×C1314yes—
330#385C22×C1314yes—
331#385C22×C1314yes—
332#385C22×C1314yes—
333#384C22×C1312yescomplemented
334#382C22×C1312yescomplemented
335#381C22×C1312yes—
336#380C22×C1314yes—
337#380C22×C1312yes—
338#380C22×C1314yes—
339#380C22×C1311yescharacteristic
340#380C22×C1312yes—
341#380C22×C1311yescharacteristic
342#380C22×C1312yes—
343#380C22×C1311yescharacteristic
344#380C22×C1312yes—
345#380C22×C1311yescharacteristic
346#379C22×C1312yes—
347C4×C22⋊C4C22×C1312yes—
348C4×C22⋊C4C22×C1312yes—
349C4×C22⋊C4C22×C1312yes—
350C4×C22⋊C4C22×C1311yescharacteristic
351C4×C22⋊C4C22×C1311yescharacteristic
352C4×C22⋊C4C22×C1312yes—
353C4×C22⋊C4C22×C1311yescharacteristic
354C4×C22⋊C4C22×C1311yescharacteristic
355C2×#95C22×C1311yescharacteristic
356C2×#95C22×C1312yes—
357C2×#95C22×C1311yescharacteristic
358C22×C13—22no—
359C22×C13—22no—
360C22×C13—22no—
361C22×C13—22no—
362C22×C13—24no—
363C22×C13—24no—
364C22×C13—24no—
365C22×C13—24no—
366C22×C13—22no—
367C22×C13—22no—
368C22×C13—22no—
369C22×C13—416no—
370C22×C13—42no—
371C22×C13—42no—
372C22×C13#53314yes—
373C22×C13#54414yes—
374C22×C13C23×Q811yescharacteristic
375C22×C13C22×#4112yes—
376C22×C13C2×H(5,𝔽2)12yes—
377C22×C13C2×H(5,𝔽2)11yescharacteristic
378C22×C13C2×2−1+411yescharacteristic
379C4×C13—22no—
380C4×C13—22no—
381C4×C13—22no—
382C4×C13—24no—
383C4×C13—24no—
384C4×C13—42no—
385C4×C13—44no—
386C4×C13—44no—
387C4×C13—44no—
388C4×C13—44no—
389C4×C13—42no—
390C4×C13#54314yes—
391C25C23×C1311yescharacteristic
392C22×Q8C23×C1314yes—
393C23×C4—44no—
394C23×C4Q8×C1318yescomplemented
395C23×C4C23×C1312yes—
396C23×C4C23×C1312yes—
397C23×C4C23×C1311yescharacteristic
398C23×C4C23×C1311yescharacteristic
399C23×C4C23×C1311yescharacteristic
400C23×C4C23×C1314yes—
401C23×C4C23×C1311yescharacteristic
402C23×C4C23×C1311yescharacteristic
403C23×C4C23×C1311yescharacteristic
404C4⋊Q8—44no—
405#125—44no—
406C22⋊Q8—216no—
407C22⋊Q8—48no—
408#117—44no—
409C2×C4⋊C4—44no—
410C2×C4⋊C4C23×C1312yes—
411C2×C4⋊C4C23×C1312yes—
412C2×C4⋊C4C23×C1312yes—
413C2×C4⋊C4C23×C1312yes—
414C2×C4⋊C4C23×C1314yes—
415C2×C4⋊C4C23×C1314yes—
416C2×C4⋊C4C23×C1314yes—
417C2×C4⋊C4C23×C1314yes—
418C2×C4⋊C4C23×C1314yes—
419C2×C4⋊C4C23×C1314yes—
420C2×C4⋊C4C23×C1314yes—
421C2×C4⋊C4C23×C1314yes—
422C2×C4⋊C4C23×C1314yes—
423C2×C4⋊C4C23×C1314yes—
424C2×C22⋊C4—28no—
425C2×C22⋊C4—44no—
426C2×C22⋊C4C23×C1314yes—
427C2×C22⋊C4C23×C1312yes—
428C2×C22⋊C4C23×C1312yes—
429C2×C22⋊C4C23×C1312yes—
430C2×C22⋊C4C23×C1312yes—
431C2×C22⋊C4C23×C1314yes—
432C2×C22⋊C4C23×C1312yes—
433C2×C22⋊C4C23×C1312yes—
434C2×C22⋊C4C23×C1312yes—
435C2×C22⋊C4C23×C1314yes—
436C2×C22⋊C4C23×C1312yes—
437C2×C42—44no—
438C2×C42C23×C1312yes—
439C2×C42C23×C1312yes—
440C2×C42C23×C1314yes—
441C2×C42C23×C1312yes—
442C2×C42C23×C1312yes—
443#95C23×C1312yes—
444#95C23×C1312yes—
445#95C23×C1311yescharacteristic
446#95C23×C1311yescharacteristic
447#95C23×C1311yescharacteristic
448#95C23×C1311yescharacteristic
449#95C23×C1312yes—
450#95C23×C1314yes—
451#95C23×C1312yes—
452#95C23×C1312yes—
453#95C23×C1312yes—
454#95C23×C1314yes—
455#95C23×C1314yes—
456#95C23×C1314yes—
457#95C23×C1314yes—
458#95C23×C1314yes—
459#95C23×C1314yes—
460#95C23×C1314yes—
461C2×C13—24no—
462C2×C13—24no—
463C2×C13—42no—
464C2×C13C2×#53311yescharacteristic
465C2×C13C2×#54311yescharacteristic
466C2×C13C2×#54411yescharacteristic
467C2×C13#351912yes—
468C2×C13#352012yes—
469C24—24no—
470C24—22no—
471C24—22no—
472C24—42no—
473C24C2×Q8×C1314yes—
474C24C24×C1311yescharacteristic
475C24C24×C1311yescharacteristic
476C24C24×C1311yescharacteristic
477C2×Q8—28no—
478C2×Q8—44no—
479C2×Q8—44no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—28no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—416no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4C2×Q8×C1314yes—
497C22×C4C2×Q8×C1314yes—
498C22×C4C2×Q8×C1314yes—
499C22×C4C2×Q8×C1314yes—
500C22×C4C2×Q8×C1314yes—
501C22×C4C2×Q8×C1314yes—
502C22×C4C24×C1312yes—
503C22×C4C24×C1314yes—
504C22×C4C24×C1314yes—
505C22×C4C24×C1312yes—
506C22×C4C24×C1314yes—
507C22×C4C24×C1314yes—
508C22×C4C24×C1311yescharacteristic
509C22×C4C24×C1311yescharacteristic
510C22×C4C24×C1311yescharacteristic
511C22×C4C24×C1312yes—
512C22×C4C24×C1312yes—
513C22×C4C24×C1311yescharacteristic
514C4⋊C4—28no—
515C4⋊C4—28no—
516C4⋊C4—28no—
517C4⋊C4—24no—
518C4⋊C4—24no—
519C4⋊C4—24no—
520C4⋊C4—24no—
521C4⋊C4—44no—
522C4⋊C4—44no—
523C4⋊C4—44no—
524C4⋊C4—44no—
525C4⋊C4—44no—
526C4⋊C4—44no—
527C4⋊C4—44no—
528C22⋊C4—24no—
529C22⋊C4—28no—
530C22⋊C4—28no—
531C22⋊C4—24no—
532C22⋊C4—24no—
533C22⋊C4—24no—
534C22⋊C4—24no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—44no—
538C22⋊C4C13×#4118yes—
539C42—24no—
540C42—24no—
541C42—42no—
542C42—42no—
543C42—44no—
544C13#3507911yescharacteristic, direct product factor, Sylow
545C23—22no—
546C23—22no—
547C23—22no—
548C23—21no—
549C23—21no—
550C23—28no—
551C23—28no—
552C23—22no—
553C23—21no—
554C23—22no—
555C23—21no—
556C23—44no—
557C23—48no—
558C23—48no—
559C23C22×Q8×C1312yes—
560C23C22×Q8×C1312yes—
561C23C22×Q8×C1312yes—
562C23C2×C13×#4114yes—
563C23C13×H(5,𝔽2)12yes—
564C23C13×2−1+412yes—
565C23C25×C1311yescharacteristic
566Q8—88no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—28no—
575C2×C4—28no—
576C2×C4—28no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—22no—
593C2×C4—24no—
594C2×C4—22no—
595C2×C4—44no—
596C2×C4—44no—
597C2×C4—44no—
598C2×C4—48no—
599C2×C4—48no—
600C2×C4—88no—
601C2×C4C22×Q8×C1312yes—
602C2×C4C22×Q8×C1312yes—
603C2×C4C22×Q8×C1312yes—
604C2×C4C22×Q8×C1312yes—
605C2×C4C2×C13×#4114yes—
606C2×C4C2×C13×#4114yes—
607C2×C4C13×H(5,𝔽2)14yes—
608C22—24no—
609C22—24no—
610C22—24no—
611C22—24no—
612C22—22no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—416no—
620C22—42no—
621C22—42no—
622C22C13×#53314yes—
623C22C13×#54414yes—
624C22C23×Q8×C1311yescharacteristic
625C22C22×C13×#4112yes—
626C22C2×C13×H(5,𝔽2)11yescharacteristic
627C22C2×C13×H(5,𝔽2)12yes—
628C22C2×C13×2−1+411yescharacteristic
629C4—24no—
630C4—24no—
631C4—22no—
632C4—22no—
633C4—22no—
634C4—42no—
635C4—44no—
636C4—44no—
637C4—44no—
638C4—44no—
639C4—42no—
640C4C13×#54314yes—
641C2—24no—
642C2—24no—
643C2—42no—
644C2C2×C13×#53311yescharacteristic
645C2C2×C13×#54311yescharacteristic
646C2C2×C13×#54411yescharacteristic
647C2C13×#351912yes—
648C2C13×#352012yes—
subgroupG/H
center, socleC23×C13C25
commutator, Frattini, cosocleC23C25×C13
prime radicalC25×C13C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C13×#2857C2semidirect
2. C13×#2851C2semidirect
3. C13×#2667C2semidirect
4. C13×#2665C2semidirect
5. C13×#2569C2semidirect
6. C13×#2549C2semidirect
7. C13×#2442C2semidirect
8. C13×#2441C2semidirect
9. C13×#2440C2semidirect
10. C13×#2439C2semidirect
12. C13×#2329C2semidirect
17. C2×C13×C4⋊Q8C22semidirect
18. C2×C13×#125C22semidirect
26. C13×#400C22semidirect
28. C13×#398C22semidirect
29. C13×#398C22semidirect
32. C13×#395C22semidirect
34. C13×#391C22semidirect
35. C13×#391C22semidirect
36. C13×#389C22semidirect
37. C13×#389C22semidirect
38. C13×#389C22semidirect
39. C13×#389C22semidirect
40. C13×#389C22semidirect
41. C13×#389C22semidirect
42. C13×#387C22semidirect
43. C13×#387C22semidirect
44. C13×#387C22semidirect
45. C13×#387C22semidirect
50. C13×#384C22semidirect
51. C13×#382C22semidirect
78. C23×C4×C13Q8semidirect
145. #35079C13direct (N × H)
221. #2857C2×C13semidirect
222. #2851C2×C13semidirect
223. #2667C2×C13semidirect
224. #2665C2×C13semidirect
225. #2569C2×C13semidirect
226. #2549C2×C13semidirect
227. #2442C2×C13semidirect
228. #2441C2×C13semidirect
229. #2440C2×C13semidirect
230. #2439C2×C13semidirect
232. #2329C2×C13semidirect
300. C2×C4⋊Q8C22×C13semidirect
301. C2×#125C22×C13semidirect
309. #400C22×C13semidirect
311. #398C22×C13semidirect
312. #398C22×C13semidirect
315. #395C22×C13semidirect
317. #391C22×C13semidirect
318. #391C22×C13semidirect
319. #389C22×C13semidirect
320. #389C22×C13semidirect
321. #389C22×C13semidirect
322. #389C22×C13semidirect
323. #389C22×C13semidirect
324. #389C22×C13semidirect
325. #387C22×C13semidirect
326. #387C22×C13semidirect
327. #387C22×C13semidirect
328. #387C22×C13semidirect
333. #384C22×C13semidirect
334. #382C22×C13semidirect
394. C23×C4Q8×C13semidirect
544. C13#35079direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#28572
C13×#28512
C13×#26672
C13×#26652
C13×#25692
C13×#25492
C13×#24422
C13×#24412
C13×#24402
C13×#24392
C13×#24372
C13×#23292
C13×#22802
C2×C13×#3802
C2×C4×C13×C22⋊C42
#3507913