Finite Group Databasebeta

← #15874152

Subgroups — #15874152

Order 3328.

1000 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
1C22⋊Q8×Dic13C211yesmaximal, characteristic, complemented
2#13117327C211yesmaximal, characteristic
3#13115719C211yesmaximal, characteristic, complemented
4#13115708C211yesmaximal, characteristic, complemented
5#13115535C211yesmaximal, characteristic, complemented
6#13115528C211yesmaximal, characteristic, complemented
7#13115479C211yesmaximal, characteristic, complemented
8#13115465C211yesmaximal, characteristic, complemented
9#13115193C211yesmaximal, characteristic, complemented
10#13115179C211yesmaximal, characteristic, complemented
11#13115149C211yesmaximal, characteristic, complemented
12#13115037C211yesmaximal, characteristic, complemented
13#13114776C211yesmaximal, characteristic
14#13114600C211yesmaximal, 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#11718873C2211yescharacteristic
41C4×C22⋊Dic13—21no—
42C4×C22⋊Dic13—21no—
43C2×C22⋊#1055C2211yescharacteristic
44C2×#88058C2211yescharacteristic
45C2×#88057C2211yescharacteristic
46C2×#88055C2211yescharacteristic
47C2×#88055C2211yescharacteristic
48#11718646C2211yescharacteristic
49#11718642—21no—
50C4⋊C4×Dic13—21no—
51C4⋊C4×Dic13C2211yescharacteristic
52#11718611—21no—
53C22⋊C4×Dic13—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×Dic13D411yescharacteristic
73C23×Dic13D411yescharacteristic
74C2×C13×Q16—41no—
75C2×C13×Q16—41no—
76C2×C13×Q16C2×C414yescomplemented
77C2×C13×SD16—41no—
78C2×C13×SD16—41no—
79C2×C13×SD16C2×C414yescomplemented
80C22×C8×C13C2311yescharacteristic
81C22×C8×C13C2311yescharacteristic
82C13×C22⋊Q8—22no—
83C13×C22⋊Q8C2×C414yes—
84C2×C13×C4⋊C4—21no—
85C2×C13×C4⋊C4C2311yescharacteristic
86C2×C13×C22⋊C4—21no—
87C2×C22⋊Dic13—21no—
88C2×C22⋊Dic13—21no—
89C2×C22⋊Dic13—21no—
90C2×C22⋊Dic13—21no—
91C2×C22⋊Dic13—21no—
92C2×C22⋊Dic13—21no—
93Q8×Dic13—41no—
94Q8×Dic13—41no—
95#88180—41no—
96#88180—41no—
97C2×C4⋊Dic13—21no—
98C2×C4⋊Dic13—21no—
99C2×C4⋊Dic13C2311yescharacteristic
100C2×C4⋊Dic13C2311yescharacteristic
101C2×C4⋊Dic13C2311yescharacteristic
102C2×C4⋊Dic13C2311yescharacteristic
103C2×C4×Dic13—21no—
104C2×C4×Dic13—21no—
105C2×C4×Dic13—21no—
106C2×C4×Dic13—41no—
107C2×C4×Dic13—41no—
108C2×C4×Dic13D411yescharacteristic
109C2×C4×Dic13D411yescharacteristic
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#88057—41no—
135#88055—41no—
136#88055—41no—
137#22048—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—22no—
180C22×Dic13—21no—
181C22×Dic13—21no—
182C22×Dic13—21no—
183C22×Dic13—21no—
184C22×Dic13—41no—
185C22×Dic13—41no—
186C22×Dic13—41no—
187C22×Dic13—41no—
188C22×Dic13—41no—
189C22×Dic13C2×D411yescharacteristic
190C22×Dic13C2×D411yescharacteristic
191C22×Dic13C2×D411yescharacteristic
192C22×Dic13C2×D411yescharacteristic
193C13×Q16—44no—
194C13×SD16—44no—
195C2×C8×C13—21no—
196C2×C8×C13—21no—
197C2×C8×C13—21no—
198C2×C8×C13—21no—
199C2×C8×C13C22×C412yes—
200C2×C8×C13C22×C412yes—
201C13×C4⋊C4—24no—
202C13×C4⋊C4—21no—
203C13×C4⋊C4C22×C412yes—
204C13×C22⋊C4—24no—
205C22⋊Dic13—42no—
206C22⋊Dic13—42no—
207C22⋊Dic13—42no—
208C22⋊Dic13—42no—
209C22⋊Dic13—42no—
210C22⋊Dic13—42no—
211C4⋊Dic13—21no—
212C4⋊Dic13—21no—
213C4⋊Dic13—21no—
214C4⋊Dic13—21no—
215C4⋊Dic13—21no—
216C4⋊Dic13—21no—
217C4⋊Dic13—21no—
218C4⋊Dic13—21no—
219C4⋊Dic13—42no—
220C4⋊Dic13—42no—
221C4×Dic13—21no—
222C4×Dic13—21no—
223C4×Dic13—21no—
224C4×Dic13—21no—
225C4×Dic13—41no—
226C4×Dic13—41no—
227C4×Dic13—42no—
228C4×Dic13—42no—
229C4×Dic13—42no—
230C2×#1055—21no—
231C2×#1055—21no—
232C2×#1055—21no—
233C2×#1055—21no—
234C2×#1055—21no—
235C2×#1055—21no—
236C2×#452D1311yescharacteristic
237C4×C22⋊Q8—131no—
238#2297—131no—
239#1973—131no—
240#1971—131no—
241#1936—131no—
242#1935—131no—
243#1928—131no—
244#1926—131no—
245#1880—131no—
246#1878—131no—
247#1873—131no—
248#1854—131no—
249#1788—131no—
250#1749—131no—
251C23×C13—21no—
252C23×C13—21no—
253C23×C13—21no—
254C23×C13—21no—
255C23×C13—21no—
256C23×C13—21no—
257C23×C13—22no—
258C23×C13—41no—
259C23×C13—41no—
260C23×C13—41no—
261C23×C13—41no—
262C23×C13—41no—
263C23×C13—41no—
264C23×C13C4×D412yes—
265C23×C13C22×D411yescharacteristic
266Q8×C13—22no—
267Q8×C13—22no—
268Q8×C13—22no—
269Q8×C13—22no—
270Q8×C13—41no—
271Q8×C13—41no—
272Q8×C13—41no—
273Q8×C13—41no—
274D4×C13—22no—
275D4×C13—22no—
276D4×C13—48no—
277D4×C13—41no—
278D4×C13—41no—
279C2×C4×C13—21no—
280C2×C4×C13—21no—
281C2×C4×C13—22no—
282C2×C4×C13—22no—
283C2×C4×C13—22no—
284C2×C4×C13—22no—
285C2×C4×C13—22no—
286C2×C4×C13—22no—
287C2×C4×C13—22no—
288C2×C4×C13—48no—
289C2×C4×C13—41no—
290C2×C4×C13—41no—
291C2×C4×C13—41no—
292C2×C4×C13—41no—
293C2×C4×C13—41no—
294C2×C4×C13—41no—
295C2×C4×C13C4×D412yes—
296C2×C4×C13C23×C411yescharacteristic
297C2×C4×C13C2×#4111yescharacteristic
298C2×C4×C13H(5,𝔽2)11yescharacteristic
299C2×C4×C13H(5,𝔽2)11yescharacteristic
300C2×C4×C13H(5,𝔽2)11yescharacteristic
301C2×C4×C13H(5,𝔽2)11yescharacteristic
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—21no—
313C2×Dic13—44no—
314C2×Dic13—44no—
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—41no—
325C2×Dic13—41no—
326C2×Dic13—41no—
327C2×Dic13#13712yes—
328C8×C13—22no—
329C8×C13—22no—
330#1055—41no—
331#1055—41no—
332C22×#41C2×D1311yescharacteristic
333C22×Q16C2×D1311yescharacteristic
334C22×SD16C2×D1311yescharacteristic
335C2×C22⋊Q8C2×D1311yescharacteristic
336C2×C4×Q8—131no—
337C2×#117—131no—
338C22×C42—131no—
339#452Dic1318yescomplemented
340C2×#107—131no—
341C2×#106—131no—
342C2×#103—131no—
343C2×#103—131no—
344C2×#103—131no—
345C2×#103—131no—
346C2×#103C2×D1311yescharacteristic
347C2×#102—131no—
348C2×#102—131no—
349C2×#102C2×D1311yescharacteristic
350C2×C22⋊C8—131no—
351C2×C22⋊C8C2×D1311yescharacteristic
352C2×#97—131no—
353C2×#97—131no—
354#391—131no—
355#391—131no—
356#391—131no—
357#390—131no—
358#390—131no—
359#389—131no—
360#387—261no—
361#386—261no—
362#386—261no—
363#385—261no—
364#380—131no—
365C4×C4⋊C4—131no—
366C4×C4⋊C4—261no—
367C4×C22⋊C4—261no—
368C4×C22⋊C4—261no—
369C4×C22⋊C4—261no—
370#340—131no—
371#340—131no—
372#340—131no—
373#340—131no—
374#336—131no—
375#336—131no—
376C22×C13—22no—
377C22×C13—22no—
378C22×C13—22no—
379C22×C13—41no—
380C22×C13—41no—
381C22×C13—41no—
382C22×C13—41no—
383C22×C13—42no—
384C22×C13—42no—
385C22×C13—42no—
386C22×C13—81no—
387C22×C13—81no—
388C22×C13—81no—
389C22×C13—81no—
390C22×C13C2×C4×D411yescharacteristic
391C22×C13#53411yescharacteristic
392C22×C13#53511yescharacteristic
393C22×C13C2×#13711yescharacteristic
394C22×C13#57511yescharacteristic
395C22×C13#57511yescharacteristic
396C22×C13#57511yescharacteristic
397C4×C13—22no—
398C4×C13—42no—
399C4×C13—42no—
400C4×C13—42no—
401C4×C13#51811yescharacteristic
402C4×C13#51811yescharacteristic
403C4×C13#53811yescharacteristic
404C4×C13#53811yescharacteristic
405Dic13—22no—
406Dic13—41no—
407Dic13—41no—
408Dic13—41no—
409Dic13—81no—
410Dic13—81no—
411Dic13—81no—
412Dic13—81no—
413C2×#41—22no—
414C2×#41—41no—
415C2×#41—41no—
416C2×#41—41no—
417C2×#41—41no—
418C2×#41C2×Dic1314yes—
419C22×Q8C22×D1311yescharacteristic
420C22×Q8C22×D1311yescharacteristic
421C22×D4—21no—
422C22×D4C22×D1311yescharacteristic
423C23×C4—21no—
424C23×C4—131no—
425C23×C4—131no—
426C23×C4C22×D1311yescharacteristic
427C2×Q16—41no—
428C2×Q16—41no—
429C2×Q16C2×Dic1314yescomplemented
430C2×SD16—41no—
431C2×SD16—41no—
432C2×SD16C2×Dic1314yescomplemented
433C22×C8—131no—
434C22×C8—131no—
435C22×C8C22×D1311yescharacteristic
436C22×C8C22×D1311yescharacteristic
437C22⋊Q8—22no—
438C22⋊Q8C2×Dic1314yes—
439C4×Q8—521no—
440C4×Q8—521no—
441#117—521no—
442#117—521no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—131no—
445C2×C4⋊C4—131no—
446C2×C4⋊C4—131no—
447C2×C4⋊C4—131no—
448C2×C4⋊C4—261no—
449C2×C4⋊C4—261no—
450C2×C4⋊C4C22×D1311yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—261no—
453C2×C22⋊C4—261no—
454C2×C22⋊C4—261no—
455C2×C22⋊C4—261no—
456C2×C22⋊C4—261no—
457C2×C22⋊C4—261no—
458C2×C42—131no—
459C2×C42—131no—
460C2×C42—131no—
461C2×C42—131no—
462C2×C42—261no—
463C2×C42—261no—
464C2×C42—261no—
465C2×C42—521no—
466C2×C42—521no—
467#107—521no—
468#106—521no—
469#103—521no—
470#103—521no—
471#103—521no—
472#103—521no—
473#103C2×Dic1314yescomplemented
474#102—521no—
475#102—521no—
476#102C2×Dic1314yescomplemented
477C22⋊C8—262no—
478C22⋊C8C2×Dic1314yes—
479#97—521no—
480#97—521no—
481#95—261no—
482#95—261no—
483#95—261no—
484#95—261no—
485#95—261no—
486#95—261no—
487#95—261no—
488#95—261no—
489#95—261no—
490C2×C13—42no—
491C2×C13—82no—
492C2×C13#232111yescharacteristic
493C2×C13#294311yescharacteristic
494C2×C13C4×#13711yescharacteristic
495C2×C13#319611yescharacteristic
496C2×C13#319711yescharacteristic
497C2×C13#321611yescharacteristic
498C2×C13#321911yescharacteristic
499C24—21no—
500C24D4×D1311yescharacteristic
501#41—44no—
502#41—44no—
503#41—44no—
504#41—44no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8C22×Dic1312yes—
516C2×Q8C22×Dic1312yes—
517C2×D4—24no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4C22×Dic1312yes—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—24no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—131no—
537C22×C4—131no—
538C22×C4—131no—
539C22×C4—131no—
540C22×C4—262no—
541C22×C4—261no—
542C22×C4—261no—
543C22×C4—261no—
544C22×C4—261no—
545C22×C4—521no—
546C22×C4—521no—
547C22×C4—521no—
548C22×C4—521no—
549C22×C4—521no—
550C22×C4D4×D1311yescharacteristic
551C22×C4#612912yes—
552C22×C4C22×Dic1312yes—
553C22×C4C23×D1311yescharacteristic
554Q16—44no—
555SD16—44no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—261no—
561C2×C8—261no—
562C2×C8—261no—
563C2×C8—261no—
564C2×C8—261no—
565C2×C8—261no—
566C2×C8C22×Dic1312yes—
567C2×C8C22×Dic1312yes—
568C4⋊C4—24no—
569C4⋊C4—21no—
570C4⋊C4—261no—
571C4⋊C4—261no—
572C4⋊C4—261no—
573C4⋊C4—261no—
574C4⋊C4—261no—
575C4⋊C4—261no—
576C4⋊C4—261no—
577C4⋊C4—261no—
578C4⋊C4—522no—
579C4⋊C4—522no—
580C4⋊C4C22×Dic1312yes—
581C22⋊C4—24no—
582C22⋊C4—522no—
583C22⋊C4—522no—
584C22⋊C4—522no—
585C22⋊C4—522no—
586C22⋊C4—522no—
587C22⋊C4—522no—
588C42—261no—
589C42—261no—
590C42—261no—
591C42—261no—
592C42—521no—
593C42—521no—
594C42—522no—
595C42—522no—
596C42—522no—
597C13#2204811yescharacteristic, complemented, Sylow
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—22no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23D4×Dic1312yes—
612C23C2×D4×D1311yescharacteristic
613Q8—22no—
614Q8—22no—
615Q8—22no—
616Q8—22no—
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—41no—
621D4—22no—
622D4—22no—
623D4—48no—
624D4—41no—
625D4—41no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—48no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—132no—
643C2×C4—261no—
644C2×C4—261no—
645C2×C4—261no—
646C2×C4—261no—
647C2×C4—261no—
648C2×C4—261no—
649C2×C4—261no—
650C2×C4—261no—
651C2×C4—261no—
652C2×C4—261no—
653C2×C4—261no—
654C2×C4—524no—
655C2×C4—524no—
656C2×C4—521no—
657C2×C4—521no—
658C2×C4—521no—
659C2×C4—521no—
660C2×C4—521no—
661C2×C4—521no—
662C2×C4—521no—
663C2×C4—521no—
664C2×C4—521no—
665C2×C4—521no—
666C2×C4—521no—
667C2×C4—521no—
668C2×C4D4×Dic1312yes—
669C2×C4C2×#612911yescharacteristic
670C2×C4#8825111yescharacteristic
671C2×C4#8825111yescharacteristic
672C2×C4#8825111yescharacteristic
673C2×C4#8825111yescharacteristic
674C2×C4C23×Dic1311yescharacteristic
675C8—22no—
676C8—22no—
677C8—521no—
678C8—521no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22#1171929411yescharacteristic
694C22#1171929711yescharacteristic
695C22#1171947311yescharacteristic
696C22#1171947311yescharacteristic
697C22D13×#13711yescharacteristic
698C22#1171948211yescharacteristic
699C22C2×D4×Dic1311yescharacteristic
700C4—22no—
701C4—42no—
702C4—42no—
703C4—42no—
704C4—262no—
705C4—521no—
706C4—521no—
707C4—521no—
708C4—1041no—
709C4—1041no—
710C4—1041no—
711C4—1041no—
712C4#1171929811yescharacteristic
713C4#1171929811yescharacteristic
714C4#1171950311yescharacteristic
715C4#1171950311yescharacteristic
716C2—42no—
717C2—82no—
718C2#1311749711yescharacteristic
719C2#1312363711yescharacteristic
720C2#137×Dic1311yescharacteristic
721C2#1312566411yescharacteristic
722C2#1312567711yescharacteristic
723C2#1312584411yescharacteristic
724C2#1312587711yescharacteristic
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#22048
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. C22⋊Q8×Dic13C2semidirect
3. #13115719C2semidirect
4. #13115708C2semidirect
5. #13115535C2semidirect
6. #13115528C2semidirect
7. #13115479C2semidirect
8. #13115465C2semidirect
9. #13115193C2semidirect
10. #13115179C2semidirect
11. #13115149C2semidirect
12. #13115037C2semidirect
14. #13114600C2semidirect
23. C13×#452C4semidirect
76. C2×C13×Q16C2×C4semidirect
79. C2×C13×SD16C2×C4semidirect
114. C13×#103C2×C4semidirect
115. C13×#102C2×C4semidirect
339. #452Dic13semidirect
429. C2×Q16C2×Dic13semidirect
432. C2×SD16C2×Dic13semidirect
473. #103C2×Dic13semidirect
476. #102C2×Dic13semidirect
597. C13#22048semidirect

Maximal subgroups

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

subgroupindex
C22⋊Q8×Dic132
#131173272
#131157192
#131157082
#131155352
#131155282
#131154792
#131154652
#131151932
#131151792
#131151492
#131150372
#131147762
#131146002
C2×C13×#4522
#2204813