Finite Group Databasebeta

← C13×#14535 #15700874

Subgroups — C13×#14535 #15700874

Order 3328.

2066 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C13×#394C211yesmaximal, characteristic
2C2×C13×#386C212yesmaximal
3C2×C13×#385C212yesmaximal, complemented
4C2×C13×#385C212yesmaximal, complemented
5C13×#1442C212yesmaximal, complemented
6C13×#1441C211yesmaximal, characteristic, complemented
7C13×#1440C212yesmaximal, complemented
8C13×#1437C212yesmaximal, complemented
9C13×C4⋊#95C211yesmaximal, characteristic, complemented
10C23×D4×C13C2211yescharacteristic
11C24×C4×C13C2212yes—
12C22×C13×C4⋊C4C2211yescharacteristic
13C22×C13×C4⋊C4C2212yes—
14C22×C13×C4⋊C4C2211yescharacteristic
15C22×C13×C4⋊C4C2211yescharacteristic
16C22×C13×C22⋊C4C2212yes—
17C22×C13×C22⋊C4C2212yes—
18C22×C13×C22⋊C4C2212yes—
19C22×C13×C22⋊C4C2212yes—
20C22×C13×C22⋊C4C2212yes—
21C22×C42×C13C2211yescharacteristic
22C13×#394C418yescomplemented
23C13×#386—28no—
24C13×#385—28no—
25C13×#385—28no—
26C2×C13×#95C2212yes—
27C2×C13×#95C2212yes—
28C2×C13×#95C2212yes—
29C2×C13×#95C2212yes—
30C2×C13×#95C2212yes—
31C2×C13×#95C2212yes—
32C2×C13×#95C2212yes—
33C2×C13×#95C2211yescharacteristic
34C2×C13×#95C2211yescharacteristic
35C25×C13C2312yes—
36C22×D4×C13—24no—
37C22×D4×C13—24no—
38C22×D4×C13—41no—
39C22×D4×C13—41no—
40C22×D4×C13C2×C414yes—
41C23×C4×C13—24no—
42C23×C4×C13—24no—
43C23×C4×C13—24no—
44C23×C4×C13—42no—
45C23×C4×C13—42no—
46C23×C4×C13—42no—
47C23×C4×C13—42no—
48C23×C4×C13C2312yes—
49C23×C4×C13C2311yescharacteristic
50C23×C4×C13C2312yes—
51C23×C4×C13C2311yescharacteristic
52C23×C4×C13C2312yes—
53C23×C4×C13C2312yes—
54C23×C4×C13C2312yes—
55C23×C4×C13C2311yescharacteristic
56C2×C13×C4⋊C4—24no—
57C2×C13×C4⋊C4—24no—
58C2×C13×C4⋊C4—24no—
59C2×C13×C4⋊C4—41no—
60C2×C13×C4⋊C4—41no—
61C2×C13×C4⋊C4—41no—
62C2×C13×C4⋊C4—41no—
63C2×C13×C4⋊C4—42no—
64C2×C13×C4⋊C4—41no—
65C2×C13×C4⋊C4C2×C414yescomplemented
66C2×C13×C4⋊C4D414yescomplemented
67C2×C13×C22⋊C4—24no—
68C2×C13×C22⋊C4—24no—
69C2×C13×C22⋊C4—24no—
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—42no—
76C2×C13×C22⋊C4—42no—
77C2×C13×C22⋊C4—42no—
78C2×C13×C22⋊C4—42no—
79C2×C13×C22⋊C4C2×C418yescomplemented
80C2×C13×C22⋊C4C2×C418yescomplemented
81C2×C13×C22⋊C4D418yes—
82C2×C42×C13—22no—
83C2×C42×C13—41no—
84C2×C42×C13—41no—
85C13×#95—24no—
86C13×#95—24no—
87C13×#95—24no—
88C13×#95—24no—
89C13×#95—24no—
90C13×#95—24no—
91C13×#95—42no—
92C13×#95—41no—
93C13×#95C2×C414yescomplemented
94#14535C1311yesmaximal, characteristic, direct product factor, Sylow
95C24×C13—22no—
96C24×C13—22no—
97C24×C13—22no—
98C24×C13—22no—
99C24×C13—22no—
100C24×C13—22no—
101C24×C13—22no—
102C24×C13—22no—
103C24×C13—22no—
104C24×C13—22no—
105C24×C13—22no—
106C24×C13—22no—
107C24×C13C22×C414yes—
108C24×C13C2×D414yes—
109C24×C13#4114yes—
110C24×C13C2411yescharacteristic
111C2×D4×C13—216no—
112C2×D4×C13—44no—
113C2×D4×C13—44no—
114C2×D4×C13—48no—
115C2×D4×C13—44no—
116C22×C4×C13—21no—
117C22×C4×C13—21no—
118C22×C4×C13—21no—
119C22×C4×C13—21no—
120C22×C4×C13—22no—
121C22×C4×C13—22no—
122C22×C4×C13—22no—
123C22×C4×C13—22no—
124C22×C4×C13—22no—
125C22×C4×C13—22no—
126C22×C4×C13—22no—
127C22×C4×C13—22no—
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×C13—21no—
136C22×C4×C13—22no—
137C22×C4×C13—22no—
138C22×C4×C13—22no—
139C22×C4×C13—22no—
140C22×C4×C13—22no—
141C22×C4×C13—22no—
142C22×C4×C13—21no—
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—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—48no—
160C22×C4×C13—48no—
161C22×C4×C13—48no—
162C22×C4×C13—48no—
163C22×C4×C13—48no—
164C22×C4×C13—48no—
165C22×C4×C13—48no—
166C22×C4×C13C22×C414yes—
167C22×C4×C13C22×C412yes—
168C22×C4×C13C22×C412yes—
169C22×C4×C13C22×C412yes—
170C22×C4×C13C2×D414yes—
171C22×C4×C13C2×D414yes—
172C22×C4×C13C2×D414yes—
173C22×C4×C13C2×D412yes—
174C22×C4×C13#4112yes—
175C13×C4⋊C4—44no—
176C13×C4⋊C4—44no—
177C13×C4⋊C4—44no—
178C13×C4⋊C4—48no—
179C13×C22⋊C4—216no—
180C13×C22⋊C4—216no—
181C13×C22⋊C4—48no—
182C13×C22⋊C4—48no—
183C13×C22⋊C4—48no—
184C42×C13—44no—
185C2×#394C2×C1311yescharacteristic
186C2×#386C2×C1312yes—
187C2×#385C2×C1312yescomplemented
188C2×#385C2×C1312yescomplemented
189#1442C2×C1312yescomplemented
190#1441C2×C1311yescharacteristic, complemented
191#1440C2×C1312yescomplemented
192#1437C2×C1312yescomplemented
193C4⋊#95C2×C1311yescharacteristic, complemented
194C23×C13—24no—
195C23×C13—24no—
196C23×C13—24no—
197C23×C13—24no—
198C23×C13—24no—
199C23×C13—24no—
200C23×C13—24no—
201C23×C13—24no—
202C23×C13—24no—
203C23×C13—24no—
204C23×C13—24no—
205C23×C13—24no—
206C23×C13—24no—
207C23×C13—24no—
208C23×C13—24no—
209C23×C13—24no—
210C23×C13—24no—
211C23×C13—24no—
212C23×C13—42no—
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×C13C4×D418yes—
229C23×C13C23×C411yescharacteristic
230C23×C13C22×D412yes—
231C23×C13C22×D411yescharacteristic
232C23×C13C2×#4111yescharacteristic
233C23×C13C2×#4112yes—
234C23×C13H(5,𝔽2)11yescharacteristic
235C23×C13H(5,𝔽2)11yescharacteristic
236C23×C13H(5,𝔽2)11yescharacteristic
237C23×C13H(5,𝔽2)12yes—
238C23×C132−1+411yescharacteristic
239C23×C132−1+412yes—
240D4×C13—416no—
241C2×C4×C13—22no—
242C2×C4×C13—22no—
243C2×C4×C13—22no—
244C2×C4×C13—22no—
245C2×C4×C13—22no—
246C2×C4×C13—22no—
247C2×C4×C13—24no—
248C2×C4×C13—24no—
249C2×C4×C13—24no—
250C2×C4×C13—24no—
251C2×C4×C13—22no—
252C2×C4×C13—22no—
253C2×C4×C13—24no—
254C2×C4×C13—24no—
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—432no—
264C2×C4×C13—42no—
265C2×C4×C13—42no—
266C2×C4×C13—42no—
267C2×C4×C13—42no—
268C2×C4×C13—42no—
269C2×C4×C13—42no—
270C2×C4×C13—41no—
271C2×C4×C13—42no—
272C2×C4×C13—42no—
273C2×C4×C13—42no—
274C2×C4×C13—41no—
275C2×C4×C13—42no—
276C2×C4×C13—42no—
277C2×C4×C13—42no—
278C2×C4×C13—42no—
279C2×C4×C13—41no—
280C2×C4×C13—41no—
281C2×C4×C13—42no—
282C2×C4×C13—42no—
283C2×C4×C13—42no—
284C2×C4×C13—42no—
285C2×C4×C13—42no—
286C2×C4×C13—42no—
287C2×C4×C13—42no—
288C2×C4×C13—42no—
289C2×C4×C13—42no—
290C2×C4×C13—42no—
291C2×C4×C13—42no—
292C2×C4×C13—42no—
293C2×C4×C13C4×D414yes—
294C23×D4C22×C1311yescharacteristic
295C24×C4C22×C1312yes—
296C22×C4⋊C4C22×C1311yescharacteristic
297C22×C4⋊C4C22×C1312yes—
298C22×C4⋊C4C22×C1311yescharacteristic
299C22×C4⋊C4C22×C1311yescharacteristic
300C22×C22⋊C4C22×C1312yes—
301C22×C22⋊C4C22×C1312yes—
302C22×C22⋊C4C22×C1312yes—
303C22×C22⋊C4C22×C1312yes—
304C22×C22⋊C4C22×C1312yes—
305C22×C42C22×C1311yescharacteristic
306#394C4×C1318yescomplemented
307#386—28no—
308#385—28no—
309#385—28no—
310C2×#95C22×C1312yes—
311C2×#95C22×C1312yes—
312C2×#95C22×C1312yes—
313C2×#95C22×C1312yes—
314C2×#95C22×C1312yes—
315C2×#95C22×C1312yes—
316C2×#95C22×C1312yes—
317C2×#95C22×C1311yescharacteristic
318C2×#95C22×C1311yescharacteristic
319C22×C13—28no—
320C22×C13—28no—
321C22×C13—28no—
322C22×C13—44no—
323C22×C13—44no—
324C22×C13—44no—
325C22×C13—44no—
326C22×C13—44no—
327C22×C13—44no—
328C22×C13—44no—
329C22×C13—44no—
330C22×C13—44no—
331C22×C13—44no—
332C22×C13—44no—
333C22×C13—44no—
334C22×C13C2×C4×D412yes—
335C22×C13C2×C4×D411yescharacteristic
336C22×C13#51811yescharacteristic
337C22×C13#52011yescharacteristic
338C22×C13#52012yes—
339C22×C13#53412yes—
340C22×C13#53411yescharacteristic
341C22×C13#53612yes—
342C22×C13#53711yescharacteristic
343C22×C13#53811yescharacteristic
344C22×C13#53912yes—
345C22×C13#53912yes—
346C22×C13#53911yescharacteristic
347C22×C13D4211yescharacteristic
348C22×C13D4212yes—
349C22×C13#54612yes—
350C22×C13#54712yes—
351C22×C13#54812yes—
352C22×C13#55111yescharacteristic
353C22×C13#55312yes—
354C22×C13H(3,𝔽4)11yescharacteristic
355C22×C13#56212yes—
356C22×C13#56311yescharacteristic
357C4×C13—24no—
358C4×C13—42no—
359C4×C13—42no—
360C4×C13—44no—
361C4×C13—44no—
362C4×C13—44no—
363C4×C13—44no—
364C4×C13—82no—
365C25C23×C1312yes—
366C22×D4—24no—
367C22×D4—24no—
368C22×D4—41no—
369C22×D4—41no—
370C22×D4C2×C4×C1314yes—
371C23×C4—24no—
372C23×C4—24no—
373C23×C4—24no—
374C23×C4—42no—
375C23×C4—42no—
376C23×C4—42no—
377C23×C4—42no—
378C23×C4C23×C1312yes—
379C23×C4C23×C1311yescharacteristic
380C23×C4C23×C1312yes—
381C23×C4C23×C1311yescharacteristic
382C23×C4C23×C1312yes—
383C23×C4C23×C1312yes—
384C23×C4C23×C1312yes—
385C23×C4C23×C1311yescharacteristic
386C2×C4⋊C4—24no—
387C2×C4⋊C4—24no—
388C2×C4⋊C4—24no—
389C2×C4⋊C4—41no—
390C2×C4⋊C4—41no—
391C2×C4⋊C4—41no—
392C2×C4⋊C4—41no—
393C2×C4⋊C4—42no—
394C2×C4⋊C4—41no—
395C2×C4⋊C4C2×C4×C1314yescomplemented
396C2×C4⋊C4D4×C1314yescomplemented
397C2×C22⋊C4—24no—
398C2×C22⋊C4—24no—
399C2×C22⋊C4—24no—
400C2×C22⋊C4—24no—
401C2×C22⋊C4—24no—
402C2×C22⋊C4—24no—
403C2×C22⋊C4—24no—
404C2×C22⋊C4—24no—
405C2×C22⋊C4—42no—
406C2×C22⋊C4—42no—
407C2×C22⋊C4—42no—
408C2×C22⋊C4—42no—
409C2×C22⋊C4C2×C4×C1318yescomplemented
410C2×C22⋊C4C2×C4×C1318yescomplemented
411C2×C22⋊C4D4×C1318yes—
412C2×C42—22no—
413C2×C42—41no—
414C2×C42—41no—
415#95—24no—
416#95—24no—
417#95—24no—
418#95—24no—
419#95—24no—
420#95—24no—
421#95—42no—
422#95—41no—
423#95C2×C4×C1314yescomplemented
424C2×C13—48no—
425C2×C13#232212yes—
426C2×C13#232511yescharacteristic
427C2×C13#235811yescharacteristic
428C2×C13#236112yes—
429C2×C13#237911yescharacteristic
430C2×C13#267911yescharacteristic
431C2×C13#268011yescharacteristic
432C2×C13#268112yes—
433C2×C13#270812yes—
434C2×C13#272811yescharacteristic
435C2×C13#278211yescharacteristic
436C24—22no—
437C24—22no—
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—22no—
444C24—22no—
445C24—22no—
446C24—22no—
447C24—22no—
448C24C22×C4×C1314yes—
449C24C2×D4×C1314yes—
450C24C13×#4114yes—
451C24C24×C1311yescharacteristic
452C2×D4—216no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—48no—
456C2×D4—44no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—21no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4C22×C4×C1314yes—
508C22×C4C22×C4×C1312yes—
509C22×C4C22×C4×C1312yes—
510C22×C4C22×C4×C1312yes—
511C22×C4C2×D4×C1314yes—
512C22×C4C2×D4×C1314yes—
513C22×C4C2×D4×C1314yes—
514C22×C4C2×D4×C1312yes—
515C22×C4C13×#4112yes—
516C4⋊C4—44no—
517C4⋊C4—44no—
518C4⋊C4—44no—
519C4⋊C4—48no—
520C22⋊C4—216no—
521C22⋊C4—216no—
522C22⋊C4—48no—
523C22⋊C4—48no—
524C22⋊C4—48no—
525C42—44no—
526C13#1453511yescharacteristic, direct product factor, Sylow
527C23—24no—
528C23—24no—
529C23—24no—
530C23—24no—
531C23—24no—
532C23—24no—
533C23—24no—
534C23—24no—
535C23—24no—
536C23—24no—
537C23—24no—
538C23—24no—
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—42no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23C4×D4×C1318yes—
562C23C23×C4×C1311yescharacteristic
563C23C22×D4×C1312yes—
564C23C22×D4×C1311yescharacteristic
565C23C2×C13×#4111yescharacteristic
566C23C2×C13×#4112yes—
567C23C13×H(5,𝔽2)11yescharacteristic
568C23C13×H(5,𝔽2)11yescharacteristic
569C23C13×H(5,𝔽2)11yescharacteristic
570C23C13×H(5,𝔽2)12yes—
571C23C13×2−1+411yescharacteristic
572C23C13×2−1+412yes—
573D4—416no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—432no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4C4×D4×C1314yes—
627C22—28no—
628C22—28no—
629C22—28no—
630C22—44no—
631C22—44no—
632C22—44no—
633C22—44no—
634C22—44no—
635C22—44no—
636C22—44no—
637C22—44no—
638C22—44no—
639C22—44no—
640C22—44no—
641C22—44no—
642C22C2×C4×D4×C1312yes—
643C22C2×C4×D4×C1311yescharacteristic
644C22C13×#51811yescharacteristic
645C22C13×#52011yescharacteristic
646C22C13×#52012yes—
647C22C13×#53412yes—
648C22C13×#53411yescharacteristic
649C22C13×#53612yes—
650C22C13×#53711yescharacteristic
651C22C13×#53811yescharacteristic
652C22C13×#53912yes—
653C22C13×#53911yescharacteristic
654C22C13×#53912yes—
655C22D42×C1311yescharacteristic
656C22D42×C1312yes—
657C22C13×#54612yes—
658C22C13×#54712yes—
659C22C13×#54812yes—
660C22C13×#55111yescharacteristic
661C22C13×#55312yes—
662C22C13×H(3,𝔽4)11yescharacteristic
663C22C13×#56212yes—
664C22C13×#56311yescharacteristic
665C4—24no—
666C4—42no—
667C4—42no—
668C4—44no—
669C4—44no—
670C4—44no—
671C4—44no—
672C4—82no—
673C2—48no—
674C2C13×#232212yes—
675C2C13×#232511yescharacteristic
676C2C13×#235811yescharacteristic
677C2C13×#236112yes—
678C2C13×#237911yescharacteristic
679C2C13×#267911yescharacteristic
680C2C13×#268011yescharacteristic
681C2C13×#268112yes—
682C2C13×#270812yes—
683C2C13×#272811yescharacteristic
684C2C13×#278211yescharacteristic
subgroupG/H
center, socleC24×C13C24
commutatorC23C23×C4×C13
Frattini, cosocleC24C24×C13
prime radicalC23×D4×C13C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C13 ◁ G

Complements

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

NH ≅ G/Ntype
3. C2×C13×#385C2semidirect
4. C2×C13×#385C2semidirect
5. C13×#1442C2semidirect
6. C13×#1441C2semidirect
7. C13×#1440C2semidirect
8. C13×#1437C2semidirect
9. C13×C4⋊#95C2semidirect
22. C13×#394C4semidirect
65. C2×C13×C4⋊C4C2×C4semidirect
66. C2×C13×C4⋊C4D4semidirect
79. C2×C13×C22⋊C4C2×C4semidirect
80. C2×C13×C22⋊C4C2×C4semidirect
93. C13×#95C2×C4semidirect
94. #14535C13direct (N × H)
187. C2×#385C2×C13semidirect
188. C2×#385C2×C13semidirect
189. #1442C2×C13semidirect
190. #1441C2×C13semidirect
191. #1440C2×C13semidirect
192. #1437C2×C13semidirect
193. C4⋊#95C2×C13semidirect
306. #394C4×C13semidirect
395. C2×C4⋊C4C2×C4×C13semidirect
396. C2×C4⋊C4D4×C13semidirect
409. C2×C22⋊C4C2×C4×C13semidirect
410. C2×C22⋊C4C2×C4×C13semidirect
423. #95C2×C4×C13semidirect
526. C13#14535direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C13×#3942
C2×C13×#3862
C2×C13×#3852
C13×#14422
C13×#14412
C13×#14402
C13×#14372
C13×C4⋊#952
#1453513