Finite Group Databasebeta

← C13×#18472 #15704811

Subgroups — C13×#18472 #15704811

Order 3328.

846 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3564C211yesmaximal, characteristic
2C13×#3238C211yesmaximal, characteristic, complemented
3C13×#3229C211yesmaximal, characteristic, complemented
4C13×#2821C211yesmaximal, characteristic, complemented
5C13×#1612C212yesmaximal
6C13×#1611C212yesmaximal, complemented
7C13×#1609C212yesmaximal, complemented
8C13×#1608C212yesmaximal, complemented
9C13×#1521C211yesmaximal, characteristic, complemented
10C13×#1515C211yesmaximal, characteristic, complemented
11C13×#1473C211yesmaximal, characteristic, complemented
12C13×#563—21no—
13C13×#563—21no—
14C13×#556—21no—
15C13×#554—21no—
16C13×#552—21no—
17C13×#552—21no—
18C13×#551—21no—
19C13×#551—21no—
20C13×#544C2211yescharacteristic
21C13×#543C2211yescharacteristic
22C13×#542—21no—
23C13×#541—21no—
24C13×#541—21no—
25C13×#539—21no—
26C13×#539C2211yescharacteristic
27C13×#538C2211yescharacteristic
28C13×#533C2211yescharacteristic
29C2×C13×C4⋊Q8C2211yescharacteristic
30C13×#529C2211yescharacteristic
31C2×C13×#126C2211yescharacteristic
32C13×#501—21no—
33C13×#498—21no—
34C13×#489—21no—
35C13×#487—21no—
36C13×#483C2212yes—
37C13×#483C2212yes—
38C13×#483C2212yes—
39C13×#480C2212yes—
40C13×#477—21no—
41C13×#476—21no—
42C13×#475—21no—
43C13×#475—21no—
44C13×#432C2211yescharacteristic
45C13×#431C2211yescharacteristic
46C13×#400—21no—
47C13×#399—21no—
48C13×#398C2212yes—
49C13×#397C2212yes—
50C13×#395—21no—
51C13×#393—21no—
52C13×#383C2211yescharacteristic
53C13×#328C2212yes—
54C13×#328C2212yes—
55C13×#328C2212yes—
56C13×#327C2212yes—
57C13×#324C2212yes—
58C13×#323C2212yes—
59C22×Q8×C13—21no—
60C13×C4⋊Q8—21no—
61C13×C4⋊Q8—21no—
62C13×C4⋊Q8—21no—
63C13×C4⋊Q8—21no—
64C13×C4⋊Q8—21no—
65C13×C4⋊Q8—21no—
66C13×C4⋊Q8—21no—
67C13×C4⋊Q8D411yescharacteristic
68C13×C4⋊Q8D411yescharacteristic
69C13×#126—21no—
70C13×#126—21no—
71C13×#126—21no—
72C13×#126—21no—
73C13×#126—21no—
74C13×#126—21no—
75C13×#126—21no—
76C13×#126—21no—
77C13×#126—21no—
78C13×#126—21no—
79C13×#126—21no—
80C13×#126—21no—
81C13×#126—21no—
82C13×#125—21no—
83C13×#125—21no—
84C13×#125—21no—
85C13×#125—21no—
86C13×#125—21no—
87C13×#125—21no—
88C13×#125—21no—
89C13×#125—21no—
90C13×#125—21no—
91C13×#125D411yescharacteristic
92C13×#124—21no—
93C13×#124—21no—
94C13×#124—21no—
95C13×#124D411yescharacteristic
96C13×#123—21no—
97C13×#123—21no—
98C13×#123—21no—
99C13×#123—21no—
100C13×#123—21no—
101C13×#123—21no—
102C13×#123—21no—
103C13×#123—21no—
104C13×C22⋊Q8—21no—
105C13×C22⋊Q8—21no—
106C13×C22⋊Q8—21no—
107C13×C22⋊Q8—21no—
108C13×C22⋊Q8—21no—
109C13×C22⋊Q8—21no—
110C13×C22⋊Q8—21no—
111C13×C22⋊Q8—21no—
112C13×C22⋊Q8—21no—
113C13×C22⋊Q8—21no—
114C13×C22⋊Q8—21no—
115C13×C22⋊Q8—21no—
116C13×C22⋊Q8—21no—
117C13×C22⋊Q8—21no—
118C13×C22⋊Q8C2311yescharacteristic
119C13×C22⋊Q8C2311yescharacteristic
120C13×C22⋊Q8C2311yescharacteristic
121C13×#121—21no—
122C13×#121C2311yescharacteristic
123C13×#120—21no—
124C4×Q8×C13—21no—
125C4×Q8×C13—21no—
126C4×Q8×C13—21no—
127C4×Q8×C13D411yescharacteristic
128C4×Q8×C13D411yescharacteristic
129C4×Q8×C13D411yescharacteristic
130C4×D4×C13—21no—
131C4×D4×C13—21no—
132C4×D4×C13—21no—
133C4×D4×C13—21no—
134C4×D4×C13—21no—
135C4×D4×C13D411yescharacteristic
136C13×#117—21no—
137C13×#117—21no—
138C13×#117—21no—
139C13×#117—21no—
140C13×#117—21no—
141C13×#117—21no—
142C2×C13×C4⋊C4—21no—
143C2×C13×C4⋊C4—21no—
144C2×C13×C4⋊C4—22no—
145C2×C13×C4⋊C4D411yescharacteristic
146C2×C13×C4⋊C4D411yescharacteristic
147C2×C13×C4⋊C4C2312yes—
148C2×C13×C4⋊C4C2311yescharacteristic
149C2×C13×C22⋊C4—21no—
150C2×C13×C22⋊C4—22no—
151C2×C13×C22⋊C4D411yescharacteristic
152C2×C13×C22⋊C4D411yescharacteristic
153C2×C13×C22⋊C4C2311yescharacteristic
154C2×C42×C13C2311yescharacteristic
155C13×#107—22no—
156C13×#106—22no—
157C13×#106—22no—
158C13×#106—22no—
159C13×C4⋊C8—21no—
160C13×C4⋊C8—21no—
161C13×#103—22no—
162C13×#103—22no—
163C13×#103—22no—
164C13×#102—22no—
165C13×C22⋊C8C2312yes—
166C13×C22⋊C8C2312yes—
167C13×#97—21no—
168C4×C8×C13—21no—
169C13×#95—21no—
170C13×#95—21no—
171C13×#95—22no—
172C13×#95—22no—
173C13×#95C2312yes—
174#18472C1311yesmaximal, characteristic, direct product factor, Sylow
175C24×C13C2×D411yescharacteristic
176C2×Q8×C13—21no—
177C2×Q8×C13—21no—
178C2×Q8×C13—21no—
179C2×Q8×C13—41no—
180C2×Q8×C13—41no—
181C2×Q8×C13—82no—
182C2×Q8×C13C2×D411yescharacteristic
183C2×Q8×C13C2×D411yescharacteristic
184C2×Q8×C13C2×D411yescharacteristic
185C2×D4×C13—21no—
186C2×D4×C13—21no—
187C2×D4×C13—21no—
188C2×D4×C13C2×D411yescharacteristic
189C22×C4×C13—21no—
190C22×C4×C13—21no—
191C22×C4×C13—21no—
192C22×C4×C13—21no—
193C22×C4×C13—21no—
194C22×C4×C13—22no—
195C22×C4×C13—22no—
196C22×C4×C13C2×D411yescharacteristic
197C22×C4×C13C2×D411yescharacteristic
198C22×C4×C13C2×D411yescharacteristic
199C22×C4×C13C2×D411yescharacteristic
200C22×C4×C13C2×D411yescharacteristic
201C22×C4×C13C2411yescharacteristic
202C2×C8×C13—22no—
203C2×C8×C13—22no—
204C13×C4⋊C4—21no—
205C13×C4⋊C4—21no—
206C13×C4⋊C4—21no—
207C13×C4⋊C4—21no—
208C13×C4⋊C4—21no—
209C13×C4⋊C4—21no—
210C13×C4⋊C4—21no—
211C13×C4⋊C4—21no—
212C13×C4⋊C4—21no—
213C13×C4⋊C4—21no—
214C13×C4⋊C4—21no—
215C13×C4⋊C4—21no—
216C13×C4⋊C4—21no—
217C13×C4⋊C4—21no—
218C13×C4⋊C4—21no—
219C13×C4⋊C4—21no—
220C13×C4⋊C4—21no—
221C13×C4⋊C4—21no—
222C13×C4⋊C4—21no—
223C13×C4⋊C4—21no—
224C13×C4⋊C4—21no—
225C13×C4⋊C4—21no—
226C13×C4⋊C4—21no—
227C13×C4⋊C4—21no—
228C13×C4⋊C4—21no—
229C13×C4⋊C4—21no—
230C13×C4⋊C4—21no—
231C13×C4⋊C4—21no—
232C13×C4⋊C4—21no—
233C13×C4⋊C4—22no—
234C13×C4⋊C4—22no—
235C13×C4⋊C4—41no—
236C13×C4⋊C4—41no—
237C13×C4⋊C4—82no—
238C13×C4⋊C4C2×D411yescharacteristic
239C13×C4⋊C4C2×D411yescharacteristic
240C13×C4⋊C4C2×D411yescharacteristic
241C13×C4⋊C4C2×D411yescharacteristic
242C13×C22⋊C4—21no—
243C13×C22⋊C4—21no—
244C13×C22⋊C4—21no—
245C13×C22⋊C4—21no—
246C13×C22⋊C4—21no—
247C13×C22⋊C4—21no—
248C13×C22⋊C4—21no—
249C13×C22⋊C4—21no—
250C13×C22⋊C4—21no—
251C13×C22⋊C4—21no—
252C13×C22⋊C4—21no—
253C13×C22⋊C4—21no—
254C13×C22⋊C4—21no—
255C13×C22⋊C4—21no—
256C13×C22⋊C4—21no—
257C13×C22⋊C4—21no—
258C13×C22⋊C4—21no—
259C13×C22⋊C4—21no—
260C13×C22⋊C4—21no—
261C13×C22⋊C4—21no—
262C13×C22⋊C4—21no—
263C13×C22⋊C4—82no—
264C42×C13—21no—
265C42×C13—21no—
266C42×C13—21no—
267C42×C13—21no—
268C42×C13—21no—
269C42×C13—21no—
270C42×C13—21no—
271C42×C13C2×D411yescharacteristic
272C42×C13C2×D411yescharacteristic
273C42×C13C2×D411yescharacteristic
274C42×C13C2×D411yescharacteristic
275#3564C2×C1311yescharacteristic
276#3238C2×C1311yescharacteristic, complemented
277#3229C2×C1311yescharacteristic, complemented
278#2821C2×C1311yescharacteristic, complemented
279#1612C2×C1312yes—
280#1611C2×C1312yescomplemented
281#1609C2×C1312yescomplemented
282#1608C2×C1312yescomplemented
283#1521C2×C1311yescharacteristic, complemented
284#1515C2×C1311yescharacteristic, complemented
285#1473C2×C1311yescharacteristic, complemented
286C23×C13—21no—
287C23×C13—21no—
288C23×C13—22no—
289C23×C13—41no—
290C23×C13—41no—
291C23×C13C22×D411yescharacteristic
292Q8×C13—41no—
293Q8×C13—41no—
294Q8×C13—41no—
295Q8×C13—81no—
296Q8×C13—82no—
297Q8×C13—82no—
298Q8×C13—81no—
299Q8×C13—81no—
300D4×C13—41no—
301D4×C13—42no—
302D4×C13—81no—
303D4×C13—81no—
304C2×C4×C13—22no—
305C2×C4×C13—21no—
306C2×C4×C13—21no—
307C2×C4×C13—21no—
308C2×C4×C13—21no—
309C2×C4×C13—21no—
310C2×C4×C13—21no—
311C2×C4×C13—21no—
312C2×C4×C13—21no—
313C2×C4×C13—21no—
314C2×C4×C13—21no—
315C2×C4×C13—22no—
316C2×C4×C13—41no—
317C2×C4×C13—41no—
318C2×C4×C13—41no—
319C2×C4×C13—41no—
320C2×C4×C13—42no—
321C2×C4×C13—42no—
322C2×C4×C13—42no—
323C2×C4×C13—42no—
324C2×C4×C13—42no—
325C2×C4×C13—42no—
326C2×C4×C13—81no—
327C2×C4×C13—81no—
328C2×C4×C13—81no—
329C2×C4×C13—81no—
330C2×C4×C13—81no—
331C2×C4×C13#12011yescharacteristic
332C2×C4×C13#12011yescharacteristic
333C2×C4×C13#12011yescharacteristic
334C2×C4×C13#12011yescharacteristic
335C2×C4×C13C22×D411yescharacteristic
336C2×C4×C13C22×D411yescharacteristic
337C8×C13—42no—
338C8×C13—42no—
339#563—21no—
340#563—21no—
341#556—21no—
342#554—21no—
343#552—21no—
344#552—21no—
345#551—21no—
346#551—21no—
347#544C22×C1311yescharacteristic
348#543C22×C1311yescharacteristic
349#542—21no—
350#541—21no—
351#541—21no—
352#539—21no—
353#539C22×C1311yescharacteristic
354#538C22×C1311yescharacteristic
355#533C22×C1311yescharacteristic
356C2×C4⋊Q8C22×C1311yescharacteristic
357#529C22×C1311yescharacteristic
358C2×#126C22×C1311yescharacteristic
359#501—21no—
360#498—21no—
361#489—21no—
362#487—21no—
363#483C22×C1312yes—
364#483C22×C1312yes—
365#483C22×C1312yes—
366#480C22×C1312yes—
367#477—21no—
368#476—21no—
369#475—21no—
370#475—21no—
371#432C22×C1311yescharacteristic
372#431C22×C1311yescharacteristic
373#400—21no—
374#399—21no—
375#398C22×C1312yes—
376#397C22×C1312yes—
377#395—21no—
378#393—21no—
379#383C22×C1311yescharacteristic
380#328C22×C1312yes—
381#328C22×C1312yes—
382#328C22×C1312yes—
383#327C22×C1312yes—
384#324C22×C1312yes—
385#323C22×C1312yes—
386C22×C13—21no—
387C22×C13—21no—
388C22×C13—41no—
389C22×C13—41no—
390C22×C13—41no—
391C22×C13—41no—
392C22×C13—41no—
393C22×C13—41no—
394C22×C13—82no—
395C22×C13C2×#12011yescharacteristic
396C22×C13#57712yes—
397C4×C13—21no—
398C4×C13—21no—
399C4×C13—21no—
400C4×C13—21no—
401C4×C13—21no—
402C4×C13—21no—
403C4×C13—41no—
404C4×C13—41no—
405C4×C13—41no—
406C4×C13—41no—
407C4×C13—41no—
408C4×C13—41no—
409C4×C13—41no—
410C4×C13—41no—
411C4×C13—41no—
412C4×C13—41no—
413C4×C13—82no—
414C4×C13—82no—
415C22×Q8—21no—
416C4⋊Q8—21no—
417C4⋊Q8—21no—
418C4⋊Q8—21no—
419C4⋊Q8—21no—
420C4⋊Q8—21no—
421C4⋊Q8—21no—
422C4⋊Q8—21no—
423C4⋊Q8D4×C1311yescharacteristic
424C4⋊Q8D4×C1311yescharacteristic
425#126—21no—
426#126—21no—
427#126—21no—
428#126—21no—
429#126—21no—
430#126—21no—
431#126—21no—
432#126—21no—
433#126—21no—
434#126—21no—
435#126—21no—
436#126—21no—
437#126—21no—
438#125—21no—
439#125—21no—
440#125—21no—
441#125—21no—
442#125—21no—
443#125—21no—
444#125—21no—
445#125—21no—
446#125—21no—
447#125D4×C1311yescharacteristic
448#124—21no—
449#124—21no—
450#124—21no—
451#124D4×C1311yescharacteristic
452#123—21no—
453#123—21no—
454#123—21no—
455#123—21no—
456#123—21no—
457#123—21no—
458#123—21no—
459#123—21no—
460C22⋊Q8—21no—
461C22⋊Q8—21no—
462C22⋊Q8—21no—
463C22⋊Q8—21no—
464C22⋊Q8—21no—
465C22⋊Q8—21no—
466C22⋊Q8—21no—
467C22⋊Q8—21no—
468C22⋊Q8—21no—
469C22⋊Q8—21no—
470C22⋊Q8—21no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8C23×C1311yescharacteristic
475C22⋊Q8C23×C1311yescharacteristic
476C22⋊Q8C23×C1311yescharacteristic
477#121—21no—
478#121C23×C1311yescharacteristic
479#120—21no—
480C4×Q8—21no—
481C4×Q8—21no—
482C4×Q8—21no—
483C4×Q8D4×C1311yescharacteristic
484C4×Q8D4×C1311yescharacteristic
485C4×Q8D4×C1311yescharacteristic
486C4×D4—21no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4D4×C1311yescharacteristic
492#117—21no—
493#117—21no—
494#117—21no—
495#117—21no—
496#117—21no—
497#117—21no—
498C2×C4⋊C4—21no—
499C2×C4⋊C4—21no—
500C2×C4⋊C4—22no—
501C2×C4⋊C4D4×C1311yescharacteristic
502C2×C4⋊C4D4×C1311yescharacteristic
503C2×C4⋊C4C23×C1312yes—
504C2×C4⋊C4C23×C1311yescharacteristic
505C2×C22⋊C4—21no—
506C2×C22⋊C4—22no—
507C2×C22⋊C4D4×C1311yescharacteristic
508C2×C22⋊C4D4×C1311yescharacteristic
509C2×C22⋊C4C23×C1311yescharacteristic
510C2×C42C23×C1311yescharacteristic
511#107—22no—
512#106—22no—
513#106—22no—
514#106—22no—
515C4⋊C8—21no—
516C4⋊C8—21no—
517#103—22no—
518#103—22no—
519#103—22no—
520#102—22no—
521C22⋊C8C23×C1312yes—
522C22⋊C8C23×C1312yes—
523#97—21no—
524C4×C8—21no—
525#95—21no—
526#95—21no—
527#95—22no—
528#95—22no—
529#95C23×C1312yes—
530C2×C13—22no—
531C2×C13—81no—
532C2×C13—81no—
533C2×C13#301011yescharacteristic
534C2×C13#302211yescharacteristic
535C2×C13#302811yescharacteristic
536C24C2×D4×C1311yescharacteristic
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—41no—
541C2×Q8—41no—
542C2×Q8—82no—
543C2×Q8C2×D4×C1311yescharacteristic
544C2×Q8C2×D4×C1311yescharacteristic
545C2×Q8C2×D4×C1311yescharacteristic
546C2×D4—21no—
547C2×D4—21no—
548C2×D4—21no—
549C2×D4C2×D4×C1311yescharacteristic
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4C2×D4×C1311yescharacteristic
558C22×C4C2×D4×C1311yescharacteristic
559C22×C4C2×D4×C1311yescharacteristic
560C22×C4C2×D4×C1311yescharacteristic
561C22×C4C2×D4×C1311yescharacteristic
562C22×C4C24×C1311yescharacteristic
563C2×C8—22no—
564C2×C8—22no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—41no—
597C4⋊C4—41no—
598C4⋊C4—82no—
599C4⋊C4C2×D4×C1311yescharacteristic
600C4⋊C4C2×D4×C1311yescharacteristic
601C4⋊C4C2×D4×C1311yescharacteristic
602C4⋊C4C2×D4×C1311yescharacteristic
603C22⋊C4—21no—
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—21no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—21no—
621C22⋊C4—21no—
622C22⋊C4—21no—
623C22⋊C4—21no—
624C22⋊C4—82no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42—21no—
629C42—21no—
630C42—21no—
631C42—21no—
632C42C2×D4×C1311yescharacteristic
633C42C2×D4×C1311yescharacteristic
634C42C2×D4×C1311yescharacteristic
635C42C2×D4×C1311yescharacteristic
636C13#1847211yescharacteristic, direct product factor, Sylow
637C23—21no—
638C23—21no—
639C23—22no—
640C23—41no—
641C23—41no—
642C23C22×D4×C1311yescharacteristic
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8—81no—
647Q8—82no—
648Q8—82no—
649Q8—81no—
650Q8—81no—
651D4—41no—
652D4—42no—
653D4—81no—
654D4—81no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—81no—
678C2×C4—81no—
679C2×C4—81no—
680C2×C4—81no—
681C2×C4—81no—
682C2×C4C13×#12011yescharacteristic
683C2×C4C13×#12011yescharacteristic
684C2×C4C13×#12011yescharacteristic
685C2×C4C13×#12011yescharacteristic
686C2×C4C22×D4×C1311yescharacteristic
687C2×C4C22×D4×C1311yescharacteristic
688C8—42no—
689C8—42no—
690C22—21no—
691C22—21no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—82no—
699C22C2×C13×#12011yescharacteristic
700C22C13×#57712yes—
701C4—21no—
702C4—21no—
703C4—21no—
704C4—21no—
705C4—21no—
706C4—21no—
707C4—41no—
708C4—41no—
709C4—41no—
710C4—41no—
711C4—41no—
712C4—41no—
713C4—41no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—82no—
718C4—82no—
719C2—22no—
720C2—81no—
721C2—81no—
722C2C13×#301011yescharacteristic
723C2C13×#302211yescharacteristic
724C2C13×#302811yescharacteristic
subgroupG/H
center, socleC22×C13C2×#120
commutator, Frattini, cosocleC22×C4C24×C13
prime radicalC13×#538C22
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C13 ◁ C2×C42×C13 ◁ G

Complements

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

NH ≅ G/Ntype
2. C13×#3238C2semidirect
3. C13×#3229C2semidirect
4. C13×#2821C2semidirect
6. C13×#1611C2semidirect
7. C13×#1609C2semidirect
8. C13×#1608C2semidirect
9. C13×#1521C2semidirect
10. C13×#1515C2semidirect
11. C13×#1473C2semidirect
174. #18472C13direct (N × H)
276. #3238C2×C13semidirect
277. #3229C2×C13semidirect
278. #2821C2×C13semidirect
280. #1611C2×C13semidirect
281. #1609C2×C13semidirect
282. #1608C2×C13semidirect
283. #1521C2×C13semidirect
284. #1515C2×C13semidirect
285. #1473C2×C13semidirect
636. C13#18472direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#35642
C13×#32382
C13×#32292
C13×#28212
C13×#16122
C13×#16112
C13×#16092
C13×#16082
C13×#15212
C13×#15152
C13×#14732
#1847213