Finite Group Databasebeta

← C13×#14763 #15701102

Subgroups — C13×#14763 #15701102

Order 3328.

1982 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C13×C22⋊Q8C211yesmaximal, characteristic
2C2×C13×#395C211yesmaximal, characteristic, complemented
3C2×C13×#389C212yesmaximal, complemented
4C2×C13×#385C211yesmaximal, characteristic
5C2×C4×C13×C22⋊C4C211yesmaximal, characteristic
6C13×#1446C211yesmaximal, characteristic, complemented
7C13×#1444C211yesmaximal, characteristic, complemented
8C13×#1441C211yesmaximal, characteristic, complemented
9C13×#1439C212yesmaximal
10C13×#1439C212yesmaximal
11C13×#1436C212yesmaximal, complemented
12C23×Q8×C13C2211yescharacteristic
13C24×C4×C13C2211yescharacteristic
14C2×C13×C22⋊Q8—24no—
15C2×C13×C22⋊Q8—28no—
16C22×C13×C4⋊C4C2211yescharacteristic
17C22×C13×C4⋊C4C2211yescharacteristic
18C22×C13×C4⋊C4C2212yes—
19C22×C13×C4⋊C4C2211yescharacteristic
20C22×C13×C4⋊C4C2212yes—
21C22×C13×C4⋊C4C2212yes—
22C22×C13×C22⋊C4C2211yescharacteristic
23C22×C13×C22⋊C4C2212yes—
24C22×C13×C22⋊C4C2212yes—
25C22×C13×C22⋊C4C2211yescharacteristic
26C22×C42×C13C2212yes—
27C13×#395—24no—
28C13×#389—28no—
29C13×#385—24no—
30C4×C13×C22⋊C4—24no—
31C2×C13×#95C2211yescharacteristic
32C2×C13×#95C2211yescharacteristic
33C2×C13×#95C2211yescharacteristic
34C2×C13×#95C2212yes—
35C2×C13×#95C2212yes—
36C2×C13×#95C2212yes—
37C2×C13×#95C2212yes—
38C2×C13×#95C2212yes—
39C2×C13×#95C2212yes—
40C2×C13×#95C2211yescharacteristic
41C25×C13C2311yescharacteristic
42C22×Q8×C13—24no—
43C22×Q8×C13—22no—
44C22×Q8×C13—22no—
45C22×Q8×C13—22no—
46C22×Q8×C13—42no—
47C23×C4×C13—22no—
48C23×C4×C13—24no—
49C23×C4×C13—22no—
50C23×C4×C13—42no—
51C23×C4×C13D414yes—
52C23×C4×C13C2311yescharacteristic
53C23×C4×C13C2311yescharacteristic
54C23×C4×C13C2312yes—
55C23×C4×C13C2312yes—
56C23×C4×C13C2312yes—
57C23×C4×C13C2311yescharacteristic
58C23×C4×C13C2311yescharacteristic
59C23×C4×C13C2311yescharacteristic
60C23×C4×C13C2311yescharacteristic
61C23×C4×C13C2312yes—
62C13×C22⋊Q8—232no—
63C2×C13×C4⋊C4—24no—
64C2×C13×C4⋊C4—24no—
65C2×C13×C4⋊C4—22no—
66C2×C13×C4⋊C4—24no—
67C2×C13×C4⋊C4—24no—
68C2×C13×C4⋊C4—24no—
69C2×C13×C4⋊C4—24no—
70C2×C13×C4⋊C4—22no—
71C2×C13×C4⋊C4—22no—
72C2×C13×C4⋊C4—24no—
73C2×C13×C4⋊C4—24no—
74C2×C13×C4⋊C4—24no—
75C2×C13×C4⋊C4—22no—
76C2×C13×C4⋊C4—22no—
77C2×C13×C4⋊C4—42no—
78C2×C13×C4⋊C4D418yes—
79C2×C13×C22⋊C4—22no—
80C2×C13×C22⋊C4—24no—
81C2×C13×C22⋊C4—24no—
82C2×C13×C22⋊C4—24no—
83C2×C13×C22⋊C4—24no—
84C2×C13×C22⋊C4—22no—
85C2×C13×C22⋊C4—22no—
86C2×C13×C22⋊C4—24no—
87C2×C13×C22⋊C4—22no—
88C2×C13×C22⋊C4—42no—
89C2×C13×C22⋊C4Q818yescomplemented
90C2×C42×C13—24no—
91C2×C42×C13—24no—
92C2×C42×C13—42no—
93C13×#95—22no—
94C13×#95—22no—
95C13×#95—22no—
96C13×#95—24no—
97C13×#95—24no—
98C13×#95—24no—
99C13×#95—24no—
100C13×#95—24no—
101C13×#95—42no—
102C13×#95D414yes—
103#14763C1311yesmaximal, characteristic, direct product factor, Sylow
104C24×C13—22no—
105C24×C13—21no—
106C24×C13—22no—
107C24×C13—21no—
108C24×C13—21no—
109C24×C13—21no—
110C24×C13—22no—
111C24×C13—21no—
112C24×C13—21no—
113C24×C13C2×D412yes—
114C24×C13C2×Q814yes—
115C24×C13C2411yescharacteristic
116C2×Q8×C13—28no—
117C2×Q8×C13—48no—
118C2×Q8×C13—48no—
119C2×Q8×C13—44no—
120C2×Q8×C13—44no—
121C22×C4×C13—21no—
122C22×C4×C13—22no—
123C22×C4×C13—22no—
124C22×C4×C13—22no—
125C22×C4×C13—21no—
126C22×C4×C13—22no—
127C22×C4×C13—22no—
128C22×C4×C13—22no—
129C22×C4×C13—22no—
130C22×C4×C13—22no—
131C22×C4×C13—21no—
132C22×C4×C13—22no—
133C22×C4×C13—21no—
134C22×C4×C13—21no—
135C22×C4×C13—22no—
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—22no—
143C22×C4×C13—22no—
144C22×C4×C13—22no—
145C22×C4×C13—21no—
146C22×C4×C13—21no—
147C22×C4×C13—22no—
148C22×C4×C13—22no—
149C22×C4×C13—22no—
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—21no—
158C22×C4×C13—28no—
159C22×C4×C13—28no—
160C22×C4×C13—21no—
161C22×C4×C13—22no—
162C22×C4×C13—21no—
163C22×C4×C13—21no—
164C22×C4×C13—22no—
165C22×C4×C13—21no—
166C22×C4×C13—22no—
167C22×C4×C13—22no—
168C22×C4×C13—21no—
169C22×C4×C13—21no—
170C22×C4×C13—44no—
171C22×C4×C13—48no—
172C22×C4×C13—48no—
173C22×C4×C13C2×D414yes—
174C22×C4×C13C2×D414yes—
175C22×C4×C13C2×D412yes—
176C22×C4×C13C2×D414yes—
177C22×C4×C13C2×D412yes—
178C22×C4×C13C2×D412yes—
179C22×C4×C13C2×D414yes—
180C22×C4×C13C2×Q814yes—
181C22×C4×C13C2×Q814yes—
182C22×C4×C13#4112yes—
183C22×C4×C13#4112yes—
184C22×C4×C13#4112yes—
185C22×C4×C13#4114yes—
186C13×C4⋊C4—216no—
187C13×C4⋊C4—28no—
188C13×C4⋊C4—216no—
189C13×C4⋊C4—48no—
190C13×C4⋊C4—44no—
191C13×C4⋊C4—44no—
192C13×C22⋊C4—28no—
193C13×C22⋊C4—216no—
194C13×C22⋊C4—216no—
195C13×C22⋊C4—44no—
196C42×C13—48no—
197C22×C22⋊Q8C2×C1311yescharacteristic
198C2×#395C2×C1311yescharacteristic, complemented
199C2×#389C2×C1312yescomplemented
200C2×#385C2×C1311yescharacteristic
201C2×C4×C22⋊C4C2×C1311yescharacteristic
202#1446C2×C1311yescharacteristic, complemented
203#1444C2×C1311yescharacteristic, complemented
204#1441C2×C1311yescharacteristic, complemented
205#1439C2×C1312yes—
206#1439C2×C1312yes—
207#1436C2×C1312yescomplemented
208C23×C13—22no—
209C23×C13—22no—
210C23×C13—24no—
211C23×C13—22no—
212C23×C13—22no—
213C23×C13—24no—
214C23×C13—22no—
215C23×C13—22no—
216C23×C13—24no—
217C23×C13—24no—
218C23×C13—24no—
219C23×C13—24no—
220C23×C13—42no—
221C23×C13—42no—
222C23×C13—42no—
223C23×C13—42no—
224C23×C13—42no—
225C23×C13—42no—
226C23×C13—41no—
227C23×C13—41no—
228C23×C13—41no—
229C23×C13—41no—
230C23×C13C4⋊Q814yes—
231C23×C13C22×D411yescharacteristic
232C23×C13C22×D412yes—
233C23×C13C22×D411yescharacteristic
234C23×C13C22×Q812yes—
235C23×C13C2×#4111yescharacteristic
236C23×C13C2×#4112yes—
237C23×C13C2×#4111yescharacteristic
238C23×C13C2×#4111yescharacteristic
239C23×C13H(5,𝔽2)12yes—
240C23×C132−1+411yescharacteristic
241C23×C132−1+411yescharacteristic
242Q8×C13—416no—
243C2×C4×C13—22no—
244C2×C4×C13—22no—
245C2×C4×C13—24no—
246C2×C4×C13—22no—
247C2×C4×C13—22no—
248C2×C4×C13—24no—
249C2×C4×C13—24no—
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—24no—
260C2×C4×C13—22no—
261C2×C4×C13—22no—
262C2×C4×C13—24no—
263C2×C4×C13—24no—
264C2×C4×C13—24no—
265C2×C4×C13—24no—
266C2×C4×C13—24no—
267C2×C4×C13—22no—
268C2×C4×C13—24no—
269C2×C4×C13—22no—
270C2×C4×C13—24no—
271C2×C4×C13—416no—
272C2×C4×C13—41no—
273C2×C4×C13—41no—
274C2×C4×C13—42no—
275C2×C4×C13—42no—
276C2×C4×C13—42no—
277C2×C4×C13—41no—
278C2×C4×C13—42no—
279C2×C4×C13—42no—
280C2×C4×C13—42no—
281C2×C4×C13—42no—
282C2×C4×C13—42no—
283C2×C4×C13—41no—
284C2×C4×C13—42no—
285C2×C4×C13—42no—
286C2×C4×C13—42no—
287C2×C4×C13—42no—
288C2×C4×C13—41no—
289C2×C4×C13—42no—
290C2×C4×C13—41no—
291C2×C4×C13—41no—
292C2×C4×C13—41no—
293C2×C4×C13—41no—
294C2×C4×C13—41no—
295C2×C4×C13—41no—
296C2×C4×C13—41no—
297C2×C4×C13—42no—
298C2×C4×C13—42no—
299C2×C4×C13—42no—
300C2×C4×C13—42no—
301C2×C4×C13#12014yes—
302C2×C4×C13#12114yes—
303C2×C4×C13C22⋊Q818yescomplemented
304C23×Q8C22×C1311yescharacteristic
305C24×C4C22×C1311yescharacteristic
306C2×C22⋊Q8—24no—
307C2×C22⋊Q8—28no—
308C22×C4⋊C4C22×C1311yescharacteristic
309C22×C4⋊C4C22×C1311yescharacteristic
310C22×C4⋊C4C22×C1312yes—
311C22×C4⋊C4C22×C1311yescharacteristic
312C22×C4⋊C4C22×C1312yes—
313C22×C4⋊C4C22×C1312yes—
314C22×C22⋊C4C22×C1312yes—
315C22×C22⋊C4C22×C1311yescharacteristic
316C22×C22⋊C4C22×C1312yes—
317C22×C22⋊C4C22×C1311yescharacteristic
318C22×C42C22×C1312yes—
319#395—24no—
320#389—28no—
321#385—24no—
322C4×C22⋊C4—24no—
323C2×#95C22×C1312yes—
324C2×#95C22×C1311yescharacteristic
325C2×#95C22×C1312yes—
326C2×#95C22×C1312yes—
327C2×#95C22×C1312yes—
328C2×#95C22×C1312yes—
329C2×#95C22×C1311yescharacteristic
330C2×#95C22×C1311yescharacteristic
331C2×#95C22×C1312yes—
332C2×#95C22×C1311yescharacteristic
333C22×C13—24no—
334C22×C13—24no—
335C22×C13—24no—
336C22×C13—42no—
337C22×C13—42no—
338C22×C13—42no—
339C22×C13—42no—
340C22×C13—44no—
341C22×C13—44no—
342C22×C13—44no—
343C22×C13—44no—
344C22×C13C2×#12011yescharacteristic
345C22×C13C2×#12111yescharacteristic
346C22×C13C2×C22⋊Q812yes—
347C22×C13#52511yescharacteristic
348C22×C13#52512yes—
349C22×C13C2×C4⋊Q811yescharacteristic
350C22×C13#53211yescharacteristic
351C22×C13#53212yes—
352C22×C13#53312yes—
353C22×C13#53411yescharacteristic
354C22×C13#53611yescharacteristic
355C22×C13#53912yes—
356C22×C13#54212yes—
357C22×C13D4212yes—
358C22×C13#54612yes—
359C22×C13#54711yescharacteristic
360C22×C13#54811yescharacteristic
361C22×C13D4×Q812yes—
362C22×C13D4×Q812yes—
363C22×C13#55211yescharacteristic
364C22×C13#55412yes—
365C22×C13#55412yes—
366C22×C13#55611yescharacteristic
367C4×C13—24no—
368C4×C13—24no—
369C4×C13—28no—
370C4×C13—44no—
371C4×C13—42no—
372C4×C13—44no—
373C4×C13—42no—
374C4×C13—44no—
375C4×C13—81no—
376C4×C13—81no—
377C25C23×C1311yescharacteristic
378C22×Q8—24no—
379C22×Q8—22no—
380C22×Q8—22no—
381C22×Q8—22no—
382C22×Q8—42no—
383C23×C4—24no—
384C23×C4—22no—
385C23×C4—22no—
386C23×C4—42no—
387C23×C4D4×C1314yes—
388C23×C4C23×C1311yescharacteristic
389C23×C4C23×C1311yescharacteristic
390C23×C4C23×C1312yes—
391C23×C4C23×C1312yes—
392C23×C4C23×C1312yes—
393C23×C4C23×C1311yescharacteristic
394C23×C4C23×C1311yescharacteristic
395C23×C4C23×C1311yescharacteristic
396C23×C4C23×C1311yescharacteristic
397C23×C4C23×C1312yes—
398C22⋊Q8—232no—
399C2×C4⋊C4—24no—
400C2×C4⋊C4—22no—
401C2×C4⋊C4—24no—
402C2×C4⋊C4—24no—
403C2×C4⋊C4—24no—
404C2×C4⋊C4—24no—
405C2×C4⋊C4—24no—
406C2×C4⋊C4—22no—
407C2×C4⋊C4—22no—
408C2×C4⋊C4—24no—
409C2×C4⋊C4—24no—
410C2×C4⋊C4—24no—
411C2×C4⋊C4—22no—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—42no—
414C2×C4⋊C4D4×C1318yes—
415C2×C22⋊C4—24no—
416C2×C22⋊C4—22no—
417C2×C22⋊C4—24no—
418C2×C22⋊C4—24no—
419C2×C22⋊C4—24no—
420C2×C22⋊C4—22no—
421C2×C22⋊C4—22no—
422C2×C22⋊C4—24no—
423C2×C22⋊C4—22no—
424C2×C22⋊C4—42no—
425C2×C22⋊C4Q8×C1318yescomplemented
426C2×C42—24no—
427C2×C42—24no—
428C2×C42—42no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—24no—
433#95—24no—
434#95—24no—
435#95—24no—
436#95—24no—
437#95—42no—
438#95D4×C1314yes—
439C2×C13—44no—
440C2×C13#238811yescharacteristic
441C2×C13#241011yescharacteristic
442C2×C13#241511yescharacteristic
443C2×C13#243411yescharacteristic
444C2×C13#244912yes—
445C2×C13#245212yes—
446C2×C13#246512yes—
447C2×C13#255612yes—
448C2×C13#258311yescharacteristic
449C2×C13#266311yescharacteristic
450C2×C13#285711yescharacteristic
451C24—22no—
452C24—21no—
453C24—22no—
454C24—21no—
455C24—21no—
456C24—21no—
457C24—22no—
458C24—21no—
459C24—21no—
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—21no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—22no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—22no—
504C22×C4—21no—
505C22×C4—28no—
506C22×C4—28no—
507C22×C4—21no—
508C22×C4—22no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—44no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4C2×D4×C1314yes—
521C22×C4C2×D4×C1314yes—
522C22×C4C2×D4×C1312yes—
523C22×C4C2×D4×C1314yes—
524C22×C4C2×D4×C1312yes—
525C22×C4C2×D4×C1312yes—
526C22×C4C2×D4×C1314yes—
527C22×C4C2×Q8×C1314yes—
528C22×C4C2×Q8×C1314yes—
529C22×C4C13×#4112yes—
530C22×C4C13×#4112yes—
531C22×C4C13×#4112yes—
532C22×C4C13×#4114yes—
533C4⋊C4—28no—
534C4⋊C4—216no—
535C4⋊C4—216no—
536C4⋊C4—48no—
537C4⋊C4—44no—
538C4⋊C4—44no—
539C22⋊C4—216no—
540C22⋊C4—28no—
541C22⋊C4—216no—
542C22⋊C4—44no—
543C42—48no—
544C13#1476311yescharacteristic, direct product factor, Sylow
545C23—22no—
546C23—22no—
547C23—24no—
548C23—22no—
549C23—22no—
550C23—24no—
551C23—22no—
552C23—22no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23C13×C4⋊Q814yes—
568C23C22×D4×C1311yescharacteristic
569C23C22×D4×C1312yes—
570C23C22×D4×C1311yescharacteristic
571C23C22×Q8×C1312yes—
572C23C2×C13×#4111yescharacteristic
573C23C2×C13×#4112yes—
574C23C2×C13×#4111yescharacteristic
575C23C2×C13×#4111yescharacteristic
576C23C13×H(5,𝔽2)12yes—
577C23C13×2−1+411yescharacteristic
578C23C13×2−1+411yescharacteristic
579Q8—416no—
580C2×C4—22no—
581C2×C4—22no—
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—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—416no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—41no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—41no—
626C2×C4—42no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4C13×#12014yes—
639C2×C4C13×#12114yes—
640C2×C4C13×C22⋊Q818yescomplemented
641C22—24no—
642C22—24no—
643C22—24no—
644C22—44no—
645C22—42no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—44no—
650C22—44no—
651C22—44no—
652C22C2×C13×#12011yescharacteristic
653C22C2×C13×#12111yescharacteristic
654C22C2×C13×C22⋊Q812yes—
655C22C13×#52511yescharacteristic
656C22C13×#52512yes—
657C22C2×C13×C4⋊Q811yescharacteristic
658C22C13×#53212yes—
659C22C13×#53211yescharacteristic
660C22C13×#53312yes—
661C22C13×#53411yescharacteristic
662C22C13×#53611yescharacteristic
663C22C13×#53912yes—
664C22C13×#54212yes—
665C22D42×C1312yes—
666C22C13×#54612yes—
667C22C13×#54711yescharacteristic
668C22C13×#54811yescharacteristic
669C22D4×Q8×C1312yes—
670C22D4×Q8×C1312yes—
671C22C13×#55211yescharacteristic
672C22C13×#55412yes—
673C22C13×#55412yes—
674C22C13×#55611yescharacteristic
675C4—24no—
676C4—24no—
677C4—28no—
678C4—44no—
679C4—42no—
680C4—44no—
681C4—42no—
682C4—44no—
683C4—81no—
684C4—81no—
685C2—44no—
686C2C13×#238811yescharacteristic
687C2C13×#241011yescharacteristic
688C2C13×#241511yescharacteristic
689C2C13×#243411yescharacteristic
690C2C13×#244912yes—
691C2C13×#245212yes—
692C2C13×#246512yes—
693C2C13×#255612yes—
694C2C13×#258311yescharacteristic
695C2C13×#266311yescharacteristic
696C2C13×#285711yescharacteristic
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
2. C2×C13×#395C2semidirect
3. C2×C13×#389C2semidirect
6. C13×#1446C2semidirect
7. C13×#1444C2semidirect
8. C13×#1441C2semidirect
11. C13×#1436C2semidirect
89. C2×C13×C22⋊C4Q8semidirect
103. #14763C13direct (N × H)
198. C2×#395C2×C13semidirect
199. C2×#389C2×C13semidirect
202. #1446C2×C13semidirect
203. #1444C2×C13semidirect
204. #1441C2×C13semidirect
207. #1436C2×C13semidirect
303. C2×C4×C13C22⋊Q8semidirect
425. C2×C22⋊C4Q8×C13semidirect
544. C13#14763direct (N × H)
640. 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×#3952
C2×C13×#3892
C2×C13×#3852
C2×C4×C13×C22⋊C42
C13×#14462
C13×#14442
C13×#14412
C13×#14392
C13×#14362
#1476313