Finite Group Databasebeta

← C13×#15430 #15701769

Subgroups — C13×#15430 #15701769

Order 3328.

2010 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
1C22×C13×C22⋊Q8C211yesmaximal, characteristic
2C2×C13×#399C211yesmaximal, characteristic
3C2×C13×#398C211yesmaximal, characteristic, complemented
4C2×C13×#395C212yesmaximal, complemented
5C2×C13×#385C212yesmaximal
6C2×C13×#384C211yesmaximal, characteristic, complemented
7C13×#1445C211yesmaximal, characteristic, complemented
8C13×#1444C212yesmaximal, complemented
9C13×#1439C212yesmaximal
10C13×#1437C211yesmaximal, characteristic
11C13×#1436C211yesmaximal, characteristic, complemented
12C23×Q8×C13C2211yescharacteristic
13C24×C4×C13C2211yescharacteristic
14C2×C13×C22⋊Q8—24no—
15C2×C13×C22⋊Q8—24no—
16C2×C13×C22⋊Q8—24no—
17C22×C13×C4⋊C4C2211yescharacteristic
18C22×C13×C4⋊C4C2212yes—
19C22×C13×C4⋊C4C2211yescharacteristic
20C22×C13×C4⋊C4C2212yes—
21C22×C13×C4⋊C4C2212yes—
22C22×C13×C4⋊C4C2212yes—
23C22×C13×C4⋊C4C2211yescharacteristic
24C22×C13×C4⋊C4C2211yescharacteristic
25C22×C13×C22⋊C4C2211yescharacteristic
26C22×C13×C22⋊C4C2212yes—
27C22×C13×C22⋊C4C2211yescharacteristic
28C22×C13×C22⋊C4C2212yes—
29C22×C42×C13C2211yescharacteristic
30C13×#399—24no—
31C13×#398—24no—
32C13×#395—28no—
33C13×#385—28no—
34C13×#384—24no—
35C2×C13×#95C2212yes—
36C2×C13×#95C2212yes—
37C2×C13×#95C2212yes—
38C2×C13×#95C2211yescharacteristic
39C2×C13×#95C2212yes—
40C2×C13×#95C2211yescharacteristic
41C2×C13×#95C2212yes—
42C2×C13×#95C2212yes—
43C25×C13C2311yescharacteristic
44C22×Q8×C13—22no—
45C22×Q8×C13—22no—
46C22×Q8×C13—22no—
47C22×Q8×C13—24no—
48C22×Q8×C13—42no—
49C23×C4×C13—22no—
50C23×C4×C13—22no—
51C23×C4×C13—22no—
52C23×C4×C13—24no—
53C23×C4×C13—42no—
54C23×C4×C13C2312yes—
55C23×C4×C13C2311yescharacteristic
56C23×C4×C13C2311yescharacteristic
57C23×C4×C13C2311yescharacteristic
58C23×C4×C13C2312yes—
59C23×C4×C13C2311yescharacteristic
60C23×C4×C13C2312yes—
61C23×C4×C13C2311yescharacteristic
62C23×C4×C13C2311yescharacteristic
63C23×C4×C13C2312yes—
64C13×C22⋊Q8—232no—
65C2×C13×C4⋊C4—22no—
66C2×C13×C4⋊C4—22no—
67C2×C13×C4⋊C4—22no—
68C2×C13×C4⋊C4—22no—
69C2×C13×C4⋊C4—22no—
70C2×C13×C4⋊C4—22no—
71C2×C13×C4⋊C4—22no—
72C2×C13×C4⋊C4—24no—
73C2×C13×C4⋊C4—24no—
74C2×C13×C4⋊C4—22no—
75C2×C13×C4⋊C4—24no—
76C2×C13×C4⋊C4—24no—
77C2×C13×C4⋊C4—24no—
78C2×C13×C4⋊C4—24no—
79C2×C13×C4⋊C4—24no—
80C2×C13×C4⋊C4—22no—
81C2×C13×C4⋊C4—24no—
82C2×C13×C4⋊C4—24no—
83C2×C13×C4⋊C4—22no—
84C2×C13×C4⋊C4—42no—
85C2×C13×C4⋊C4—42no—
86C2×C13×C4⋊C4—42no—
87C2×C13×C4⋊C4D414yes—
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—24no—
108C13×#95—22no—
109C13×#95—24no—
110C13×#95D418yes—
111#15430C1311yesmaximal, characteristic, direct product factor, Sylow
112C24×C13—21no—
113C24×C13—21no—
114C24×C13—22no—
115C24×C13—22no—
116C24×C13—22no—
117C24×C13—22no—
118C24×C13—22no—
119C24×C13C2×D412yes—
120C24×C13C2×Q814yes—
121C24×C13C2411yescharacteristic
122C2×Q8×C13—28no—
123C2×Q8×C13—48no—
124C2×Q8×C13—48no—
125C2×Q8×C13—44no—
126C2×Q8×C13—44no—
127C22×C4×C13—22no—
128C22×C4×C13—21no—
129C22×C4×C13—21no—
130C22×C4×C13—22no—
131C22×C4×C13—22no—
132C22×C4×C13—22no—
133C22×C4×C13—22no—
134C22×C4×C13—22no—
135C22×C4×C13—22no—
136C22×C4×C13—28no—
137C22×C4×C13—22no—
138C22×C4×C13—22no—
139C22×C4×C13—22no—
140C22×C4×C13—22no—
141C22×C4×C13—22no—
142C22×C4×C13—22no—
143C22×C4×C13—22no—
144C22×C4×C13—21no—
145C22×C4×C13—21no—
146C22×C4×C13—21no—
147C22×C4×C13—21no—
148C22×C4×C13—21no—
149C22×C4×C13—21no—
150C22×C4×C13—21no—
151C22×C4×C13—21no—
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—48no—
173C22×C4×C13—48no—
174C22×C4×C13—44no—
175C22×C4×C13—44no—
176C22×C4×C13C2×D414yes—
177C22×C4×C13C2×D412yes—
178C22×C4×C13C2×D412yes—
179C22×C4×C13C2×D412yes—
180C22×C4×C13C2×D412yes—
181C22×C4×C13C2×D412yes—
182C22×C4×C13C2×D412yes—
183C22×C4×C13C2×D412yes—
184C22×C4×C13C2×D414yes—
185C22×C4×C13C2×D414yes—
186C22×C4×C13C2×D412yes—
187C22×C4×C13C2×Q814yes—
188C22×C4×C13C2×Q814yes—
189C22×C4×C13#4114yes—
190C13×C4⋊C4—28no—
191C13×C4⋊C4—28no—
192C13×C4⋊C4—28no—
193C13×C4⋊C4—48no—
194C13×C4⋊C4—48no—
195C13×C4⋊C4—48no—
196C13×C4⋊C4—44no—
197C13×C4⋊C4—48no—
198C13×C22⋊C4—28no—
199C13×C22⋊C4—28no—
200C13×C22⋊C4—216no—
201C13×C22⋊C4—48no—
202C42×C13—28no—
203C22×C22⋊Q8C2×C1311yescharacteristic
204C2×#399C2×C1311yescharacteristic
205C2×#398C2×C1311yescharacteristic, complemented
206C2×#395C2×C1312yescomplemented
207C2×#385C2×C1312yes—
208C2×#384C2×C1311yescharacteristic, complemented
209#1445C2×C1311yescharacteristic, complemented
210#1444C2×C1312yescomplemented
211#1439C2×C1312yes—
212#1437C2×C1311yescharacteristic
213#1436C2×C1311yescharacteristic, complemented
214C23×C13—22no—
215C23×C13—24no—
216C23×C13—22no—
217C23×C13—24no—
218C23×C13—24no—
219C23×C13—24no—
220C23×C13—24no—
221C23×C13—24no—
222C23×C13—24no—
223C23×C13—24no—
224C23×C13—41no—
225C23×C13—41no—
226C23×C13—41no—
227C23×C13—41no—
228C23×C13—42no—
229C23×C13—42no—
230C23×C13—42no—
231C23×C13—42no—
232C23×C13—42no—
233C23×C13—42no—
234C23×C13C4⋊Q814yes—
235C23×C13C22×D411yescharacteristic
236C23×C13C22×D411yescharacteristic
237C23×C13C22×D411yescharacteristic
238C23×C13C22×D412yes—
239C23×C13C22×Q812yes—
240C23×C13C2×#4112yes—
241C23×C13H(5,𝔽2)12yes—
242C23×C132−1+412yes—
243C23×C132−1+412yes—
244Q8×C13—416no—
245C2×C4×C13—22no—
246C2×C4×C13—22no—
247C2×C4×C13—24no—
248C2×C4×C13—22no—
249C2×C4×C13—22no—
250C2×C4×C13—24no—
251C2×C4×C13—24no—
252C2×C4×C13—24no—
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—22no—
260C2×C4×C13—22no—
261C2×C4×C13—22no—
262C2×C4×C13—22no—
263C2×C4×C13—24no—
264C2×C4×C13—24no—
265C2×C4×C13—24no—
266C2×C4×C13—24no—
267C2×C4×C13—24no—
268C2×C4×C13—24no—
269C2×C4×C13—24no—
270C2×C4×C13—24no—
271C2×C4×C13—24no—
272C2×C4×C13—24no—
273C2×C4×C13—416no—
274C2×C4×C13—41no—
275C2×C4×C13—42no—
276C2×C4×C13—41no—
277C2×C4×C13—41no—
278C2×C4×C13—41no—
279C2×C4×C13—41no—
280C2×C4×C13—41no—
281C2×C4×C13—41no—
282C2×C4×C13—41no—
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×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#12014yes—
302C2×C4×C13C22⋊Q818yescomplemented
303C2×C4×C13#12714yes—
304C23×Q8C22×C1311yescharacteristic
305C24×C4C22×C1311yescharacteristic
306C2×C22⋊Q8—24no—
307C2×C22⋊Q8—24no—
308C2×C22⋊Q8—24no—
309C22×C4⋊C4C22×C1312yes—
310C22×C4⋊C4C22×C1311yescharacteristic
311C22×C4⋊C4C22×C1311yescharacteristic
312C22×C4⋊C4C22×C1312yes—
313C22×C4⋊C4C22×C1312yes—
314C22×C4⋊C4C22×C1312yes—
315C22×C4⋊C4C22×C1311yescharacteristic
316C22×C4⋊C4C22×C1311yescharacteristic
317C22×C22⋊C4C22×C1311yescharacteristic
318C22×C22⋊C4C22×C1312yes—
319C22×C22⋊C4C22×C1311yescharacteristic
320C22×C22⋊C4C22×C1312yes—
321C22×C42C22×C1311yescharacteristic
322#399—24no—
323#398—24no—
324#395—28no—
325#385—28no—
326#384—24no—
327C2×#95C22×C1312yes—
328C2×#95C22×C1312yes—
329C2×#95C22×C1311yescharacteristic
330C2×#95C22×C1312yes—
331C2×#95C22×C1311yescharacteristic
332C2×#95C22×C1312yes—
333C2×#95C22×C1312yes—
334C2×#95C22×C1312yes—
335C22×C13—24no—
336C22×C13—28no—
337C22×C13—42no—
338C22×C13—44no—
339C22×C13—44no—
340C22×C13—42no—
341C22×C13—44no—
342C22×C13—44no—
343C22×C13—44no—
344C22×C13C2×#12011yescharacteristic
345C22×C13C2×C22⋊Q812yes—
346C22×C13#52511yescharacteristic
347C22×C13C2×#12711yescharacteristic
348C22×C13C2×C4⋊Q811yescharacteristic
349C22×C13#53511yescharacteristic
350C22×C13#53611yescharacteristic
351C22×C13#53612yes—
352C22×C13#53611yescharacteristic
353C22×C13#53912yes—
354C22×C13#54412yes—
355C22×C13D4212yes—
356C22×C13D4212yes—
357C22×C13#54712yes—
358C22×C13#54712yes—
359C22×C13#54712yes—
360C22×C13D4×Q812yes—
361C22×C13D4×Q812yes—
362C22×C13D4×Q812yes—
363C22×C13#55412yes—
364C22×C13#56312yes—
365C4×C13—24no—
366C4×C13—24no—
367C4×C13—28no—
368C4×C13—42no—
369C4×C13—44no—
370C4×C13—42no—
371C4×C13—42no—
372C4×C13—42no—
373C4×C13—44no—
374C4×C13—82no—
375C25C23×C1311yescharacteristic
376C22×Q8—22no—
377C22×Q8—22no—
378C22×Q8—22no—
379C22×Q8—24no—
380C22×Q8—42no—
381C23×C4—22no—
382C23×C4—22no—
383C23×C4—22no—
384C23×C4—24no—
385C23×C4—42no—
386C23×C4C23×C1312yes—
387C23×C4C23×C1311yescharacteristic
388C23×C4C23×C1311yescharacteristic
389C23×C4C23×C1311yescharacteristic
390C23×C4C23×C1312yes—
391C23×C4C23×C1311yescharacteristic
392C23×C4C23×C1312yes—
393C23×C4C23×C1311yescharacteristic
394C23×C4C23×C1311yescharacteristic
395C23×C4C23×C1312yes—
396C22⋊Q8—232no—
397C2×C4⋊C4—22no—
398C2×C4⋊C4—22no—
399C2×C4⋊C4—22no—
400C2×C4⋊C4—22no—
401C2×C4⋊C4—22no—
402C2×C4⋊C4—22no—
403C2×C4⋊C4—22no—
404C2×C4⋊C4—24no—
405C2×C4⋊C4—24no—
406C2×C4⋊C4—22no—
407C2×C4⋊C4—24no—
408C2×C4⋊C4—24no—
409C2×C4⋊C4—24no—
410C2×C4⋊C4—24no—
411C2×C4⋊C4—24no—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—24no—
414C2×C4⋊C4—24no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—42no—
417C2×C4⋊C4—42no—
418C2×C4⋊C4—42no—
419C2×C4⋊C4D4×C1314yes—
420C2×C4⋊C4D4×C1314yes—
421C2×C22⋊C4—22no—
422C2×C22⋊C4—22no—
423C2×C22⋊C4—22no—
424C2×C22⋊C4—22no—
425C2×C22⋊C4—22no—
426C2×C22⋊C4—24no—
427C2×C22⋊C4—24no—
428C2×C22⋊C4—24no—
429C2×C22⋊C4—24no—
430C2×C22⋊C4—42no—
431C2×C22⋊C4D4×C1314yes—
432C2×C22⋊C4Q8×C1318yescomplemented
433C2×C42—22no—
434C2×C42—24no—
435#95—24no—
436#95—24no—
437#95—24no—
438#95—22no—
439#95—24no—
440#95—22no—
441#95—24no—
442#95D4×C1318yes—
443C2×C13—44no—
444C2×C13#240611yescharacteristic
445C2×C13#243311yescharacteristic
446C2×C13#243411yescharacteristic
447C2×C13#244012yes—
448C2×C13#244912yes—
449C2×C13#254212yes—
450C2×C13#267712yes—
451C2×C13#268012yes—
452C2×C13#272012yes—
453C24—21no—
454C24—21no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24—22no—
459C24—22no—
460C24C2×D4×C1312yes—
461C24C2×Q8×C1314yes—
462C24C24×C1311yescharacteristic
463C2×Q8—28no—
464C2×Q8—48no—
465C2×Q8—48no—
466C2×Q8—44no—
467C2×Q8—44no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—28no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
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—48no—
514C22×C4—48no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4C2×D4×C1314yes—
518C22×C4C2×D4×C1312yes—
519C22×C4C2×D4×C1312yes—
520C22×C4C2×D4×C1312yes—
521C22×C4C2×D4×C1312yes—
522C22×C4C2×D4×C1312yes—
523C22×C4C2×D4×C1312yes—
524C22×C4C2×D4×C1312yes—
525C22×C4C2×D4×C1314yes—
526C22×C4C2×D4×C1314yes—
527C22×C4C2×D4×C1312yes—
528C22×C4C2×Q8×C1314yes—
529C22×C4C2×Q8×C1314yes—
530C22×C4C13×#4114yes—
531C4⋊C4—28no—
532C4⋊C4—28no—
533C4⋊C4—28no—
534C4⋊C4—48no—
535C4⋊C4—48no—
536C4⋊C4—48no—
537C4⋊C4—44no—
538C4⋊C4—48no—
539C22⋊C4—28no—
540C22⋊C4—28no—
541C22⋊C4—216no—
542C22⋊C4—48no—
543C42—28no—
544C13#1543011yescharacteristic, direct product factor, Sylow
545C23—22no—
546C23—24no—
547C23—22no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—42no—
559C23—41no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23C13×C4⋊Q814yes—
566C23C22×D4×C1311yescharacteristic
567C23C22×D4×C1311yescharacteristic
568C23C22×D4×C1311yescharacteristic
569C23C22×D4×C1312yes—
570C23C22×Q8×C1312yes—
571C23C2×C13×#4112yes—
572C23C13×H(5,𝔽2)12yes—
573C23C13×2−1+412yes—
574C23C13×2−1+412yes—
575Q8—416no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—416no—
605C2×C4—41no—
606C2×C4—42no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—42no—
614C2×C4—41no—
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×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4C13×#12014yes—
633C2×C4C13×C22⋊Q818yescomplemented
634C2×C4C13×#12714yes—
635C22—24no—
636C22—28no—
637C22—44no—
638C22—42no—
639C22—44no—
640C22—44no—
641C22—42no—
642C22—44no—
643C22—44no—
644C22C2×C13×#12011yescharacteristic
645C22C2×C13×C22⋊Q812yes—
646C22C13×#52511yescharacteristic
647C22C2×C13×#12711yescharacteristic
648C22C2×C13×C4⋊Q811yescharacteristic
649C22C13×#53511yescharacteristic
650C22C13×#53612yes—
651C22C13×#53611yescharacteristic
652C22C13×#53611yescharacteristic
653C22C13×#53912yes—
654C22C13×#54412yes—
655C22D42×C1312yes—
656C22D42×C1312yes—
657C22C13×#54712yes—
658C22C13×#54712yes—
659C22C13×#54712yes—
660C22D4×Q8×C1312yes—
661C22D4×Q8×C1312yes—
662C22D4×Q8×C1312yes—
663C22C13×#55412yes—
664C22C13×#56312yes—
665C4—24no—
666C4—24no—
667C4—28no—
668C4—44no—
669C4—42no—
670C4—44no—
671C4—42no—
672C4—42no—
673C4—42no—
674C4—82no—
675C2—44no—
676C2C13×#240611yescharacteristic
677C2C13×#243311yescharacteristic
678C2C13×#243411yescharacteristic
679C2C13×#244012yes—
680C2C13×#244912yes—
681C2C13×#254212yes—
682C2C13×#267712yes—
683C2C13×#268012yes—
684C2C13×#272012yes—
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
3. C2×C13×#398C2semidirect
4. C2×C13×#395C2semidirect
6. C2×C13×#384C2semidirect
7. C13×#1445C2semidirect
8. C13×#1444C2semidirect
11. C13×#1436C2semidirect
100. C2×C13×C22⋊C4Q8semidirect
111. #15430C13direct (N × H)
205. C2×#398C2×C13semidirect
206. C2×#395C2×C13semidirect
208. C2×#384C2×C13semidirect
209. #1445C2×C13semidirect
210. #1444C2×C13semidirect
213. #1436C2×C13semidirect
302. C2×C4×C13C22⋊Q8semidirect
432. C2×C22⋊C4Q8×C13semidirect
544. C13#15430direct (N × H)
633. 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×C22⋊Q82
C2×C13×#3992
C2×C13×#3982
C2×C13×#3952
C2×C13×#3852
C2×C13×#3842
C13×#14452
C13×#14442
C13×#14392
C13×#14372
C13×#14362
#1543013