Finite Group Databasebeta

← #15874279

Subgroups — #15874279

Order 3328.

968 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13117520C211yesmaximal, characteristic, complemented
2#13117428C211yesmaximal, characteristic
3#13115719C211yesmaximal, characteristic, complemented
4#13115698C211yesmaximal, characteristic, complemented
5#13115528C211yesmaximal, characteristic, complemented
6#13115521C211yesmaximal, characteristic, complemented
7#13115479C211yesmaximal, characteristic, complemented
8#13115458C211yesmaximal, characteristic, complemented
9#13115193C211yesmaximal, characteristic, complemented
10#13115179C211yesmaximal, characteristic, complemented
11#13115144C211yesmaximal, characteristic, complemented
12#13115026C211yesmaximal, characteristic, complemented
13#13114776C211yesmaximal, characteristic
14#13114604C211yesmaximal, characteristic, complemented
15C2×C13×#452C211yesmaximal, characteristic
16C22×C13×#41C2211yescharacteristic
17C22×C13×Q16C2211yescharacteristic
18C22×C13×SD16C2211yescharacteristic
19C2×C13×C22⋊Q8C2211yescharacteristic
20C2×Q8×Dic13C2211yescharacteristic
21C2×#88180C2211yescharacteristic
22C22×C4⋊Dic13C2211yescharacteristic
23C13×#452C418yescomplemented
24C2×C13×#103C2211yescharacteristic
25C2×C13×#102C2211yescharacteristic
26C2×C13×C22⋊C8C2211yescharacteristic
27#11718891C2211yescharacteristic
28#11718891C2211yescharacteristic
29#11718891C2211yescharacteristic
30C2×#88075C2211yescharacteristic
31C2×#88075C2211yescharacteristic
32C2×#88075C2211yescharacteristic
33C2×#88075C2211yescharacteristic
34#11718882C2211yescharacteristic
35#11718882C2211yescharacteristic
36#11718881—21no—
37#11718881—21no—
38C2×#88072C2211yescharacteristic
39C2×#88072C2211yescharacteristic
40#11718873—21no—
41#11718873—21no—
42#11718873C2211yescharacteristic
43C2×C22⋊#1055C2211yescharacteristic
44C2×#88058C2211yescharacteristic
45C2×#88058C2211yescharacteristic
46C2×#88055C2211yescharacteristic
47C2×C8×Dic13C2211yescharacteristic
48#11718646—21no—
49#11718646C2211yescharacteristic
50#11718642—21no—
51C4⋊C4×Dic13C2211yescharacteristic
52#11718612—21no—
53#11718612—21no—
54#11718143C2211yescharacteristic
55#11718143C2211yescharacteristic
56#11718142C2211yescharacteristic
57#11718142C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60C2×C13×#41—22no—
61C2×C13×#41—41no—
62C2×C13×#41—41no—
63C2×C13×#41—41no—
64C2×C13×#41—41no—
65C2×C13×#41C2×C414yes—
66C22×Q8×C13C2311yescharacteristic
67C22×Q8×C13C2311yescharacteristic
68C22×D4×C13—21no—
69C22×D4×C13C2311yescharacteristic
70C23×C4×C13—21no—
71C23×C4×C13C2311yescharacteristic
72C23×Dic13—21no—
73C2×C13×Q16—41no—
74C2×C13×Q16—41no—
75C2×C13×Q16C2×C414yescomplemented
76C2×C13×SD16—41no—
77C2×C13×SD16—41no—
78C2×C13×SD16C2×C414yescomplemented
79C22×C8×C13C2311yescharacteristic
80C22×C8×C13C2311yescharacteristic
81C13×C22⋊Q8—22no—
82C13×C22⋊Q8C2×C414yes—
83C2×C13×C4⋊C4—21no—
84C2×C13×C4⋊C4C2311yescharacteristic
85C2×C13×C22⋊C4—21no—
86C2×C22⋊Dic13—21no—
87C2×C22⋊Dic13—21no—
88C2×C22⋊Dic13—21no—
89C2×C22⋊Dic13—21no—
90C2×C22⋊Dic13—21no—
91C2×C22⋊Dic13D411yescharacteristic
92C2×C22⋊Dic13D411yescharacteristic
93Q8×Dic13—41no—
94Q8×Dic13—41no—
95#88180—41no—
96#88180—41no—
97C2×C4⋊Dic13—21no—
98C2×C4⋊Dic13—21no—
99C2×C4⋊Dic13—21no—
100C2×C4⋊Dic13—41no—
101C2×C4⋊Dic13—41no—
102C2×C4⋊Dic13D411yescharacteristic
103C2×C4⋊Dic13D411yescharacteristic
104C2×C4⋊Dic13C2311yescharacteristic
105C2×C4⋊Dic13C2311yescharacteristic
106C2×C4⋊Dic13C2311yescharacteristic
107C2×C4⋊Dic13C2311yescharacteristic
108C2×C4×Dic13—21no—
109C2×C4×Dic13—21no—
110C2×C4×Dic13C2311yescharacteristic
111C2×C4×Dic13C2311yescharacteristic
112C22×#1055C2311yescharacteristic
113C22×#1055C2311yescharacteristic
114C13×#103C2×C414yescomplemented
115C13×#102C2×C414yescomplemented
116C13×C22⋊C8C2×C414yes—
117#88075—41no—
118#88075—41no—
119#88075—41no—
120#88075—41no—
121#88072—41no—
122#88072—41no—
123#88071—21no—
124#88071—21no—
125#88071—21no—
126#88071—21no—
127#88071—21no—
128#88071—21no—
129#88071—21no—
130#88071—21no—
131#88071—21no—
132C22⋊#1055—22no—
133#88058—41no—
134#88058—41no—
135#88055—41no—
136C8×Dic13—41no—
137#22057—131nomaximal, Sylow
138C24×C13—21no—
139C24×C13C2×D411yescharacteristic
140C13×#41—44no—
141C13×#41—44no—
142C13×#41—44no—
143C13×#41—44no—
144C2×Q8×C13—21no—
145C2×Q8×C13—21no—
146C2×Q8×C13—21no—
147C2×Q8×C13—21no—
148C2×Q8×C13—21no—
149C2×Q8×C13—21no—
150C2×Q8×C13—21no—
151C2×Q8×C13—21no—
152C2×Q8×C13—21no—
153C2×Q8×C13—21no—
154C2×Q8×C13C22×C412yes—
155C2×Q8×C13C22×C412yes—
156C2×D4×C13—24no—
157C2×D4×C13—21no—
158C2×D4×C13—21no—
159C2×D4×C13—21no—
160C2×D4×C13—21no—
161C2×D4×C13—21no—
162C2×D4×C13—42no—
163C2×D4×C13—42no—
164C2×D4×C13C22×C412yes—
165C22×C4×C13—21no—
166C22×C4×C13—21no—
167C22×C4×C13—21no—
168C22×C4×C13—21no—
169C22×C4×C13—21no—
170C22×C4×C13—21no—
171C22×C4×C13—21no—
172C22×C4×C13—24no—
173C22×C4×C13—42no—
174C22×C4×C13—42no—
175C22×C4×C13C22×C412yes—
176C22×C4×C13C2×D411yescharacteristic
177C22×C4×C13#4112yes—
178C22×C4×C13C2411yescharacteristic
179C22×Dic13—21no—
180C22×Dic13—21no—
181C22×Dic13—21no—
182C22×Dic13—21no—
183C22×Dic13—42no—
184C22×Dic13—81no—
185C22×Dic13—81no—
186C22×Dic13C2×D411yescharacteristic
187C22×Dic13C2×D411yescharacteristic
188C22×Dic13C2×D411yescharacteristic
189C22×Dic13C2×D411yescharacteristic
190C13×Q16—44no—
191C13×SD16—44no—
192C2×C8×C13—21no—
193C2×C8×C13—21no—
194C2×C8×C13—21no—
195C2×C8×C13—21no—
196C2×C8×C13C22×C412yes—
197C2×C8×C13C22×C412yes—
198C13×C4⋊C4—24no—
199C13×C4⋊C4—21no—
200C13×C4⋊C4C22×C412yes—
201C13×C22⋊C4—24no—
202C22⋊Dic13—41no—
203C22⋊Dic13—41no—
204C22⋊Dic13—81no—
205C22⋊Dic13—81no—
206C22⋊Dic13—81no—
207C22⋊Dic13—81no—
208C22⋊Dic13—81no—
209C4⋊Dic13—21no—
210C4⋊Dic13—21no—
211C4⋊Dic13—21no—
212C4⋊Dic13—21no—
213C4⋊Dic13—21no—
214C4⋊Dic13—21no—
215C4⋊Dic13—21no—
216C4⋊Dic13—21no—
217C4⋊Dic13—41no—
218C4⋊Dic13—41no—
219C4⋊Dic13—42no—
220C4⋊Dic13—42no—
221C4⋊Dic13—81no—
222C4×Dic13—21no—
223C4×Dic13—21no—
224C4×Dic13—21no—
225C4×Dic13—21no—
226C4×Dic13—42no—
227C4×Dic13—81no—
228C2×#1055—21no—
229C2×#1055—21no—
230C2×#1055—21no—
231C2×#1055—21no—
232C2×#1055—21no—
233C2×#1055—21no—
234C2×#452D1311yescharacteristic
235#2323—131no—
236#2311—131no—
237#1973—131no—
238#1969—131no—
239#1935—131no—
240#1934—131no—
241#1928—131no—
242#1925—131no—
243#1880—131no—
244#1878—131no—
245#1872—131no—
246#1852—131no—
247#1788—131no—
248#1750—131no—
249C23×C13—21no—
250C23×C13—21no—
251C23×C13—21no—
252C23×C13—21no—
253C23×C13—21no—
254C23×C13—21no—
255C23×C13—22no—
256C23×C13—41no—
257C23×C13—41no—
258C23×C13—41no—
259C23×C13—41no—
260C23×C13—41no—
261C23×C13—41no—
262C23×C13C4×D412yes—
263C23×C13C22×D411yescharacteristic
264Q8×C13—22no—
265Q8×C13—22no—
266Q8×C13—22no—
267Q8×C13—22no—
268Q8×C13—41no—
269Q8×C13—41no—
270Q8×C13—41no—
271Q8×C13—41no—
272D4×C13—22no—
273D4×C13—22no—
274D4×C13—48no—
275D4×C13—41no—
276D4×C13—41no—
277C2×C4×C13—21no—
278C2×C4×C13—21no—
279C2×C4×C13—22no—
280C2×C4×C13—22no—
281C2×C4×C13—22no—
282C2×C4×C13—22no—
283C2×C4×C13—22no—
284C2×C4×C13—22no—
285C2×C4×C13—22no—
286C2×C4×C13—48no—
287C2×C4×C13—41no—
288C2×C4×C13—41no—
289C2×C4×C13—41no—
290C2×C4×C13—41no—
291C2×C4×C13—41no—
292C2×C4×C13—41no—
293C2×C4×C13C4×D412yes—
294C2×C4×C13C23×C411yescharacteristic
295C2×C4×C13C2×#4111yescharacteristic
296C2×C4×C13H(5,𝔽2)11yescharacteristic
297C2×C4×C13H(5,𝔽2)11yescharacteristic
298C2×C4×C13H(5,𝔽2)11yescharacteristic
299C2×C4×C13H(5,𝔽2)11yescharacteristic
300C2×Dic13—21no—
301C2×Dic13—21no—
302C2×Dic13—21no—
303C2×Dic13—21no—
304C2×Dic13—21no—
305C2×Dic13—21no—
306C2×Dic13—21no—
307C2×Dic13—21no—
308C2×Dic13—21no—
309C2×Dic13—21no—
310C2×Dic13—21no—
311C2×Dic13—21no—
312C2×Dic13—41no—
313C2×Dic13—41no—
314C2×Dic13—41no—
315C2×Dic13—41no—
316C2×Dic13—41no—
317C2×Dic13—41no—
318C2×Dic13—41no—
319C2×Dic13—41no—
320C2×Dic13—41no—
321C2×Dic13—41no—
322C2×Dic13—41no—
323C2×Dic13—41no—
324C2×Dic13—84no—
325C8×C13—22no—
326C8×C13—22no—
327#1055—41no—
328#1055—41no—
329C22×#41C2×D1311yescharacteristic
330C22×Q16C2×D1311yescharacteristic
331C22×SD16C2×D1311yescharacteristic
332C2×C22⋊Q8C2×D1311yescharacteristic
333C2×C4×Q8—131no—
334C2×#117—131no—
335C22×C4⋊C4—131no—
336#452Dic1318yescomplemented
337C2×#107—131no—
338C2×#107—131no—
339C2×#103—131no—
340C2×#103—131no—
341C2×#103—131no—
342C2×#103—131no—
343C2×#103C2×D1311yescharacteristic
344C2×#102—131no—
345C2×#102—131no—
346C2×#102C2×D1311yescharacteristic
347C2×C22⋊C8—131no—
348C2×C22⋊C8C2×D1311yescharacteristic
349C2×#97—131no—
350C2×C4×C8—131no—
351#391—131no—
352#391—131no—
353#391—131no—
354#390—131no—
355#390—131no—
356#389—131no—
357#389—261no—
358#388—261no—
359#388—261no—
360#387—261no—
361#386—261no—
362#386—261no—
363#380—131no—
364#380—261no—
365#380—261no—
366C4×C4⋊C4—131no—
367#340—131no—
368#340—131no—
369#340—131no—
370#340—131no—
371#336—131no—
372#336—131no—
373C22×C13—22no—
374C22×C13—22no—
375C22×C13—22no—
376C22×C13—41no—
377C22×C13—41no—
378C22×C13—41no—
379C22×C13—41no—
380C22×C13—42no—
381C22×C13—42no—
382C22×C13—42no—
383C22×C13—81no—
384C22×C13—81no—
385C22×C13—81no—
386C22×C13—81no—
387C22×C13C2×C4×D411yescharacteristic
388C22×C13#53411yescharacteristic
389C22×C13#53511yescharacteristic
390C22×C13#57611yescharacteristic
391C22×C13#57711yescharacteristic
392C22×C13#57811yescharacteristic
393C22×C13#57811yescharacteristic
394C4×C13—22no—
395C4×C13—42no—
396C4×C13—42no—
397C4×C13—42no—
398C4×C13#51811yescharacteristic
399C4×C13#51811yescharacteristic
400C4×C13#53811yescharacteristic
401C4×C13#53811yescharacteristic
402Dic13—41no—
403Dic13—41no—
404Dic13—41no—
405Dic13—41no—
406Dic13—81no—
407Dic13—81no—
408Dic13—81no—
409Dic13—81no—
410C2×#41—22no—
411C2×#41—41no—
412C2×#41—41no—
413C2×#41—41no—
414C2×#41—41no—
415C2×#41C2×Dic1314yes—
416C22×Q8C22×D1311yescharacteristic
417C22×Q8C22×D1311yescharacteristic
418C22×D4—21no—
419C22×D4C22×D1311yescharacteristic
420C23×C4—21no—
421C23×C4—261no—
422C23×C4C22×D1311yescharacteristic
423C2×Q16—41no—
424C2×Q16—41no—
425C2×Q16C2×Dic1314yescomplemented
426C2×SD16—41no—
427C2×SD16—41no—
428C2×SD16C2×Dic1314yescomplemented
429C22×C8—131no—
430C22×C8—131no—
431C22×C8C22×D1311yescharacteristic
432C22×C8C22×D1311yescharacteristic
433C22⋊Q8—22no—
434C22⋊Q8C2×Dic1314yes—
435C4×Q8—521no—
436C4×Q8—521no—
437#117—521no—
438#117—521no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—131no—
441C2×C4⋊C4—131no—
442C2×C4⋊C4—131no—
443C2×C4⋊C4—131no—
444C2×C4⋊C4—131no—
445C2×C4⋊C4—131no—
446C2×C4⋊C4—261no—
447C2×C4⋊C4—261no—
448C2×C4⋊C4—261no—
449C2×C4⋊C4—521no—
450C2×C4⋊C4—521no—
451C2×C4⋊C4C22×D1311yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—131no—
454C2×C22⋊C4—131no—
455C2×C22⋊C4—261no—
456C2×C22⋊C4—261no—
457C2×C22⋊C4—261no—
458C2×C22⋊C4—261no—
459C2×C22⋊C4—261no—
460C2×C42—131no—
461C2×C42—131no—
462C2×C42—261no—
463C2×C42—261no—
464#107—521no—
465#107—521no—
466#103—521no—
467#103—521no—
468#103—521no—
469#103—521no—
470#103C2×Dic1314yescomplemented
471#102—521no—
472#102—521no—
473#102C2×Dic1314yescomplemented
474C22⋊C8—262no—
475C22⋊C8C2×Dic1314yes—
476#97—521no—
477C4×C8—521no—
478#95—261no—
479#95—261no—
480#95—261no—
481#95—261no—
482#95—261no—
483#95—261no—
484#95—261no—
485#95—261no—
486#95—261no—
487C2×C13—42no—
488C2×C13—82no—
489C2×C13#232111yescharacteristic
490C2×C13#294711yescharacteristic
491C2×C13#295111yescharacteristic
492C2×C13#320111yescharacteristic
493C2×C13#320311yescharacteristic
494C2×C13#322311yescharacteristic
495C2×C13#322411yescharacteristic
496C24—21no—
497C24D4×D1311yescharacteristic
498#41—44no—
499#41—44no—
500#41—44no—
501#41—44no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8C22×Dic1312yes—
513C2×Q8C22×Dic1312yes—
514C2×D4—24no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4C22×Dic1312yes—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—24no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—131no—
534C22×C4—131no—
535C22×C4—131no—
536C22×C4—131no—
537C22×C4—261no—
538C22×C4—261no—
539C22×C4—261no—
540C22×C4—261no—
541C22×C4—522no—
542C22×C4—1041no—
543C22×C4—1041no—
544C22×C4D4×D1311yescharacteristic
545C22×C4#612912yes—
546C22×C4C22×Dic1312yes—
547C22×C4C23×D1311yescharacteristic
548Q16—44no—
549SD16—44no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—261no—
555C2×C8—261no—
556C2×C8—261no—
557C2×C8—261no—
558C2×C8—261no—
559C2×C8—261no—
560C2×C8C22×Dic1312yes—
561C2×C8C22×Dic1312yes—
562C4⋊C4—24no—
563C4⋊C4—21no—
564C4⋊C4—261no—
565C4⋊C4—261no—
566C4⋊C4—261no—
567C4⋊C4—261no—
568C4⋊C4—261no—
569C4⋊C4—261no—
570C4⋊C4—261no—
571C4⋊C4—261no—
572C4⋊C4—521no—
573C4⋊C4—521no—
574C4⋊C4—522no—
575C4⋊C4—522no—
576C4⋊C4—1041no—
577C4⋊C4C22×Dic1312yes—
578C22⋊C4—24no—
579C22⋊C4—521no—
580C22⋊C4—521no—
581C22⋊C4—1041no—
582C22⋊C4—1041no—
583C22⋊C4—1041no—
584C22⋊C4—1041no—
585C22⋊C4—1041no—
586C42—261no—
587C42—261no—
588C42—261no—
589C42—261no—
590C42—522no—
591C42—1041no—
592C13#2205711yescharacteristic, complemented, Sylow
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—22no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23D4×Dic1312yes—
607C23C2×D4×D1311yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—22no—
611Q8—22no—
612Q8—41no—
613Q8—41no—
614Q8—41no—
615Q8—41no—
616D4—22no—
617D4—22no—
618D4—48no—
619D4—41no—
620D4—41no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—48no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—261no—
638C2×C4—261no—
639C2×C4—261no—
640C2×C4—261no—
641C2×C4—261no—
642C2×C4—261no—
643C2×C4—261no—
644C2×C4—261no—
645C2×C4—261no—
646C2×C4—261no—
647C2×C4—261no—
648C2×C4—261no—
649C2×C4—521no—
650C2×C4—521no—
651C2×C4—521no—
652C2×C4—521no—
653C2×C4—521no—
654C2×C4—521no—
655C2×C4—521no—
656C2×C4—521no—
657C2×C4—521no—
658C2×C4—521no—
659C2×C4—521no—
660C2×C4—521no—
661C2×C4—1044no—
662C2×C4D4×Dic1312yes—
663C2×C4C2×#612911yescharacteristic
664C2×C4#8825111yescharacteristic
665C2×C4#8825111yescharacteristic
666C2×C4#8825111yescharacteristic
667C2×C4#8825111yescharacteristic
668C2×C4C23×Dic1311yescharacteristic
669C8—22no—
670C8—22no—
671C8—521no—
672C8—521no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22#1171929411yescharacteristic
688C22#1171929711yescharacteristic
689C22#1171947411yescharacteristic
690C22#1171947611yescharacteristic
691C22#1171948311yescharacteristic
692C22#1171948411yescharacteristic
693C22C2×D4×Dic1311yescharacteristic
694C4—22no—
695C4—42no—
696C4—42no—
697C4—42no—
698C4—521no—
699C4—521no—
700C4—521no—
701C4—521no—
702C4—1041no—
703C4—1041no—
704C4—1041no—
705C4—1041no—
706C4#1171929811yescharacteristic
707C4#1171929811yescharacteristic
708C4#1171950311yescharacteristic
709C4#1171950311yescharacteristic
710C2—42no—
711C2—82no—
712C2#1311749711yescharacteristic
713C2#1312368011yescharacteristic
714C2#1312371211yescharacteristic
715C2#1312571711yescharacteristic
716C2#1312573711yescharacteristic
717C2#1312591711yescharacteristic
718C2#1312593611yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC2×C13×#452C2
socleC23×C13C22×D4
prime radicalC22×C13×#41C22
cosocleC22×C4×C13C24
hypercenterC2×#452D13
hypocenterC13#22057
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#452

Complements

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

NH ≅ G/Ntype
1. #13117520C2semidirect
3. #13115719C2semidirect
4. #13115698C2semidirect
5. #13115528C2semidirect
6. #13115521C2semidirect
7. #13115479C2semidirect
8. #13115458C2semidirect
9. #13115193C2semidirect
10. #13115179C2semidirect
11. #13115144C2semidirect
12. #13115026C2semidirect
14. #13114604C2semidirect
23. C13×#452C4semidirect
75. C2×C13×Q16C2×C4semidirect
78. C2×C13×SD16C2×C4semidirect
114. C13×#103C2×C4semidirect
115. C13×#102C2×C4semidirect
336. #452Dic13semidirect
425. C2×Q16C2×Dic13semidirect
428. C2×SD16C2×Dic13semidirect
470. #103C2×Dic13semidirect
473. #102C2×Dic13semidirect
592. C13#22057semidirect

Maximal subgroups

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

subgroupindex
#131175202
#131174282
#131157192
#131156982
#131155282
#131155212
#131154792
#131154582
#131151932
#131151792
#131151442
#131150262
#131147762
#131146042
C2×C13×#4522
#2205713