Finite Group Databasebeta

← #16807701

Subgroups — #16807701

Order 3328.

2106 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13131371C214yesmaximal, complemented
2#13131370C214yesmaximal, complemented
3#13131345C212yesmaximal
4#13131344C212yesmaximal
5#13131344C214yesmaximal
6#13131336C214yesmaximal, complemented
7#13131313C212yesmaximal
8#125×#261C214yesmaximal, complemented
9#13131283C211yesmaximal, characteristic
10#13131274C212yesmaximal
11C4×#88237C211yesmaximal, characteristic
12C2×D13×#125C211yesmaximal, characteristic
13C2×#88237C2212yes—
14C2×#88237C2214yes—
15C2×C13×#125C411yescharacteristic, complemented
16D13×#125C412yescomplemented
17D13×#125C412yescomplemented
18D13×#125C412yescomplemented
19D13×#125C412yescomplemented
20D13×#125C2212yes—
21D13×#125C2212yes—
22D13×#125C2212yes—
23D13×#125C2212yes—
24C2×C4⋊C4×D13C2212yes—
25C2×C4⋊C4×D13C2212yes—
26C2×C4⋊C4×D13C2211yescharacteristic
27C2×C4⋊C4×D13C2211yescharacteristic
28C2×#88144C411yescharacteristic, complemented
29C2×#88144C411yescharacteristic, complemented
30C2×#88143C412yescomplemented
31C2×#88143C412yescomplemented
32C2×C42×D13C2211yescharacteristic
33C2×#88124C411yescharacteristic, complemented
34#11719136C2212yes—
35#11719136C2214yes—
36#11719135C2212yes—
37#11719135C2214yes—
38C4×C22⋊#261C2211yescharacteristic
39C4×C22⋊#261C2211yescharacteristic
40C4×C22⋊#261C2212yes—
41C4×C22⋊#261C2212yes—
42C4×C22⋊#261C2214yes—
43#11719083C2214yes—
44#11719083C2214yes—
45#11719083C2218yes—
46#11719082C2218yes—
47#11719082C2218yes—
48#11719082C2218yes—
49#11719082C2218yes—
50#11719082C2218yes—
51#11719082C2218yes—
52C4⋊C4×#261C2218yes—
53C4⋊C4×#261C2218yes—
54C4⋊C4×#261C2214yes—
55C4⋊C4×#261C2218yes—
56C4⋊C4×#261C2214yes—
57#11719061C2212yes—
58#11719060C2212yes—
59C4×C4⋊#261C2212yes—
60C4×C4⋊#261C2212yes—
61C4×C4⋊#261C2212yes—
62#11719057C2212yes—
63#11719057C2212yes—
64C42×#261C2212yes—
65C22×C4×D13C2311yescharacteristic
66C22×C4×D13C2311yescharacteristic
67C22×C4×D13C2312yes—
68C22×C4×D13C2311yescharacteristic
69C22×C4×D13C2312yes—
70C2×C22⋊#261C2312yes—
71C2×C22⋊#261C2314yes—
72C2×C22⋊#261C2312yes—
73#88237—28no—
74#88237—216no—
75C2×C4⋊#261C2314yes—
76C2×C4⋊#261C2314yes—
77C2×C4⋊#261C2318yes—
78C2×C4⋊#261C2318yes—
79C2×C4×#261C2314yes—
80C2×C4×#261C2314yes—
81C2×C4×#261C2318yes—
82C2×C4×#261C2312yes—
83C2×C4×#261C2312yes—
84C2×C4×#261C2314yes—
85C2×C4×#261C2318yes—
86C13×#125C2×C412yes—
87C13×#125C2×C412yes—
88C13×#125C2×C412yes—
89C13×#125C2×C412yes—
90C2×C13×C4⋊C4C2×C412yes—
91C2×C13×C4⋊C4C2×C412yes—
92C2×C13×C4⋊C4C2×C411yescharacteristic
93C2×C13×C4⋊C4C2×C411yescharacteristic
94C2×C42×C13C2×C411yescharacteristic
95C2×C4⋊Dic13C2×C411yescharacteristic
96C2×C4⋊Dic13C2×C411yescharacteristic
97C2×C4⋊Dic13C2×C412yes—
98C2×C4⋊Dic13C2×C412yes—
99C2×#6101C2×C412yes—
100C2×#6101C2×C412yes—
101C2×#6101C2×C412yes—
102C2×#6101C2×C412yes—
103C2×#6101C2×C412yes—
104C2×#6101C2×C412yes—
105C2×C4×Dic13C2×C411yescharacteristic
106C2×C4×Dic13C2×C411yescharacteristic
107C2×C4×Dic13C2×C411yescharacteristic
108C4⋊C4×D13C2×C414yes—
109C4⋊C4×D13C2×C414yes—
110C4⋊C4×D13C2×C414yes—
111C4⋊C4×D13C2×C414yes—
112C4⋊C4×D13C2×C412yes—
113C4⋊C4×D13C2×C412yes—
114C4⋊C4×D13C2×C412yes—
115C4⋊C4×D13C2×C412yes—
116C4⋊C4×D13C2314yes—
117C4⋊C4×D13C2314yes—
118C4⋊C4×D13C2314yes—
119C4⋊C4×D13C2312yes—
120C4⋊C4×D13C2312yes—
121C4⋊C4×D13C2312yes—
122C4⋊C4×D13C2312yes—
123C4⋊C4×D13C2314yes—
124#88144C2×C412yes—
125#88144C2×C412yes—
126#88144C2×C412yes—
127#88144C2×C412yes—
128#88144C2×C412yes—
129#88144C2×C412yes—
130#88144C2×C412yes—
131#88144C2×C412yes—
132#88143C2×C414yes—
133#88143C2×C414yes—
134#88143C2×C414yes—
135#88143C2×C414yes—
136#88143C2×C414yes—
137#88143C2×C414yes—
138#88143C2×C414yes—
139#88143C2×C414yes—
140C42×D13C2×C411yescharacteristic
141C42×D13C2×C411yescharacteristic
142C42×D13C2×C411yescharacteristic
143C42×D13C2×C411yescharacteristic
144C42×D13C2311yescharacteristic
145C42×D13C2311yescharacteristic
146C42×D13C2311yescharacteristic
147C42×D13C2311yescharacteristic
148#88124C2×C412yes—
149#88124C2×C412yes—
150#88124C2×C412yes—
151#88124C2×C412yes—
152(C2×#261)⋊C4C2312yes—
153(C2×#261)⋊C4C2314yes—
154(C2×#261)⋊C4C2312yes—
155(C2×#261)⋊C4C2314yes—
156(C2×#261)⋊C4C2314yes—
157(C2×#261)⋊C4C2314yes—
158(C2×#261)⋊C4C2314yes—
159(C2×#261)⋊C4C2318yes—
160(C2×#261)⋊C4C2318yes—
161(C2×#261)⋊C4C2318yes—
162(C2×#261)⋊C4C2318yes—
163#34239—131nomaximal, Sylow
164C23×D13C2411yescharacteristic
165C22×#261C2414yes—
166C22×#261C2418yes—
167C22×#261C2414yes—
168C22×C4×C13C22×C411yescharacteristic
169C22×C4×C13C22×C411yescharacteristic
170C22×C4×C13C22×C412yes—
171C22×C4×C13C22×C411yescharacteristic
172C22×C4×C13C22×C412yes—
173C22×Dic13C22×C411yescharacteristic
174C22×Dic13C22×C411yescharacteristic
175C22×Dic13C22×C412yes—
176C22×Dic13C22×C411yescharacteristic
177C22×Dic13C22×C412yes—
178C2×C4×D13—24no—
179C2×C4×D13—28no—
180C2×C4×D13—24no—
181C2×C4×D13—42no—
182C2×C4×D13—44no—
183C2×C4×D13C22×C411yescharacteristic
184C2×C4×D13C22×C411yescharacteristic
185C2×C4×D13C22×C411yescharacteristic
186C2×C4×D13C22×C411yescharacteristic
187C2×C4×D13C22×C414yes—
188C2×C4×D13C22×C411yescharacteristic
189C2×C4×D13C22×C411yescharacteristic
190C2×C4×D13C22×C414yes—
191C2×C4×D13C2411yescharacteristic
192C2×C4×D13C2411yescharacteristic
193C2×C4×D13C2411yescharacteristic
194C2×C4×D13C2411yescharacteristic
195C2×C4×D13C2411yescharacteristic
196C2×C4×D13C2414yes—
197C2×C4×D13C2414yes—
198C2×C4×D13C2411yescharacteristic
199C22⋊#261—24no—
200C22⋊#261—28no—
201C22⋊#261#4118yes—
202C4⋊#261—28no—
203C4⋊#261—216no—
204C4⋊#261—28no—
205C4⋊#261—48no—
206C4×#261—28no—
207C4×#261—216no—
208C4×#261—28no—
209C4×#261—42no—
210C4×#261—44no—
211C4×#261—42no—
212C4×#261—48no—
213C13×C4⋊C4C22×C414yes—
214C13×C4⋊C4C22×C414yes—
215C13×C4⋊C4C22×C414yes—
216C13×C4⋊C4C22×C414yes—
217C13×C4⋊C4C22×C412yes—
218C13×C4⋊C4C22×C412yes—
219C13×C4⋊C4C22×C412yes—
220C13×C4⋊C4C22×C412yes—
221C42×C13C22×C411yescharacteristic
222C42×C13C22×C411yescharacteristic
223C42×C13C22×C411yescharacteristic
224C42×C13C22×C411yescharacteristic
225C4⋊Dic13C22×C412yes—
226C4⋊Dic13C22×C412yes—
227C4⋊Dic13C22×C412yes—
228C4⋊Dic13C22×C412yes—
229C4⋊Dic13C22×C414yes—
230C4⋊Dic13C22×C414yes—
231C4⋊Dic13C22×C414yes—
232C4⋊Dic13C22×C414yes—
233#6101C22×C414yes—
234#6101C22×C414yes—
235#6101C22×C414yes—
236#6101C22×C414yes—
237#6101C22×C414yes—
238#6101C22×C414yes—
239#6101C22×C414yes—
240#6101C22×C414yes—
241#6101C22×C414yes—
242#6101C22×C414yes—
243#6101C22×C414yes—
244#6101C22×C414yes—
245C4×Dic13C22×C411yescharacteristic
246C4×Dic13C22×C411yescharacteristic
247C4×Dic13C22×C411yescharacteristic
248C4×Dic13C22×C411yescharacteristic
249C4×Dic13C22×C411yescharacteristic
250C4×Dic13C22×C411yescharacteristic
251C4×Dic13C22×C411yescharacteristic
252C4×Dic13C22×C411yescharacteristic
253C4×Dic13C22×C411yescharacteristic
254C4×Dic13C22×C411yescharacteristic
255C4×Dic13C22×C411yescharacteristic
256C4×Dic13C22×C411yescharacteristic
257C22×#125—131no—
258#2371—134no—
259#2370—134no—
260#2345—132no—
261#2344—134no—
262#2344—132no—
263#2336—134no—
264#2313—132no—
265C4×#125—134no—
266#2283—131no—
267#2274—132no—
268C4×#117—131no—
269C23×C13C23×C411yescharacteristic
270C22×D13—22no—
271C22×D13—22no—
272C22×D13C23×C411yescharacteristic
273C22×D13C2×#4114yes—
274C22×D13C2511yescharacteristic
275C2×#261—24no—
276C2×#261—24no—
277C2×#261—24no—
278C2×#261—28no—
279C2×#261—24no—
280C2×#261—28no—
281C2×#261—28no—
282C2×#261—24no—
283C2×#261C2×#4118yes—
284C2×C4×C13—22no—
285C2×C4×C13—24no—
286C2×C4×C13—22no—
287C2×C4×C13—41no—
288C2×C4×C13—42no—
289C2×C4×C13C23×C411yescharacteristic
290C2×C4×C13C23×C411yescharacteristic
291C2×C4×C13C23×C411yescharacteristic
292C2×C4×C13C23×C411yescharacteristic
293C2×C4×C13C23×C411yescharacteristic
294C2×C4×C13C23×C414yes—
295C2×C4×C13C23×C414yes—
296C2×C4×C13C23×C411yescharacteristic
297C2×Dic13—22no—
298C2×Dic13—24no—
299C2×Dic13—22no—
300C2×Dic13—41no—
301C2×Dic13—42no—
302C2×Dic13C23×C411yescharacteristic
303C2×Dic13C23×C411yescharacteristic
304C2×Dic13C23×C411yescharacteristic
305C2×Dic13C23×C411yescharacteristic
306C2×Dic13C23×C411yescharacteristic
307C2×Dic13C23×C414yes—
308C2×Dic13C23×C414yes—
309C2×Dic13C23×C411yescharacteristic
310C4×D13—22no—
311C4×D13—22no—
312C4×D13—28no—
313C4×D13—22no—
314C4×D13—24no—
315C4×D13—22no—
316C4×D13—24no—
317C4×D13—22no—
318C4×D13—22no—
319C4×D13—22no—
320C4×D13—28no—
321C4×D13—22no—
322C4×D13—22no—
323C4×D13—41no—
324C4×D13—41no—
325C4×D13—44no—
326C4×D132−1+414yes—
327C2×#125—132no—
328C2×#125—132no—
329C2×#125—132no—
330C2×#125—132no—
331C2×#125—132no—
332C2×#125—132no—
333C2×#125—132no—
334C2×#125—132no—
335C2×#125—132no—
336C2×#125—132no—
337C2×#125—131no—
338C2×#125—131no—
339C2×#125—131no—
340C2×#125#26111yescharacteristic, complemented
341C2×#117—132no—
342C2×#117—134no—
343C22×C4⋊C4—132no—
344C22×C4⋊C4—132no—
345C22×C4⋊C4—131no—
346C22×C4⋊C4—131no—
347C22×C42—131no—
348#389—134no—
349#389—134no—
350#389—138no—
351#387—138no—
352#387—138no—
353#387—138no—
354#387—138no—
355#387—138no—
356#387—138no—
357#383—132no—
358#382—132no—
359#381—134no—
360#381—132no—
361#380—134no—
362#380—132no—
363C4×C4⋊C4—138no—
364C4×C4⋊C4—134no—
365C4×C4⋊C4—138no—
366C4×C4⋊C4—134no—
367C4×C4⋊C4—132no—
368C4×C4⋊C4—132no—
369C4×C4⋊C4—132no—
370C4×C4⋊C4—138no—
371C4×C22⋊C4—131no—
372C4×C22⋊C4—132no—
373C4×C22⋊C4—132no—
374C4×C22⋊C4—134no—
375C4×C22⋊C4—131no—
376#376—132no—
377#376—132no—
378C43—132no—
379C22×C13—21no—
380C22×C13—21no—
381C22×C13C4×#4112yes—
382C22×C13C24×C411yescharacteristic
383C2×D13—21no—
384C2×D13—21no—
385C2×D13—28no—
386C2×D13C4×#4112yes—
387C2×D13C22×#4112yes—
388C2×D13C2×2−1+412yes—
389C2×D13#58512yes—
390#261—28no—
391#261—44no—
392#261—48no—
393C4×C13—21no—
394C4×C13—24no—
395C4×C13—21no—
396C4×C13—21no—
397C4×C13—21no—
398C4×C13—21no—
399C4×C13—24no—
400C4×C13#51912yes—
401Dic13—21no—
402Dic13—24no—
403Dic13—21no—
404Dic13—21no—
405Dic13—21no—
406Dic13—21no—
407Dic13—24no—
408Dic13#51912yes—
409C23×C4—132no—
410C23×C4—131no—
411C23×C4—131no—
412C23×C4—132no—
413C23×C4—131no—
414#125—134no—
415#125—134no—
416#125—134no—
417#125—134no—
418#125—134no—
419#125—134no—
420#125—134no—
421#125—134no—
422#125—132no—
423#125—132no—
424#125—132no—
425#125—132no—
426#125—132no—
427#125—132no—
428#125—132no—
429#125—132no—
430#125—132no—
431#125—132no—
432#125—132no—
433#125—132no—
434#125C2×#26112yes—
435#125C2×#26112yes—
436#125C2×#26112yes—
437#125C2×#26112yes—
438#117—268no—
439#117—2616no—
440C2×C4⋊C4—132no—
441C2×C4⋊C4—132no—
442C2×C4⋊C4—132no—
443C2×C4⋊C4—132no—
444C2×C4⋊C4—132no—
445C2×C4⋊C4—132no—
446C2×C4⋊C4—132no—
447C2×C4⋊C4—131no—
448C2×C4⋊C4—132no—
449C2×C4⋊C4—131no—
450C2×C4⋊C4—132no—
451C2×C4⋊C4—132no—
452C2×C4⋊C4—134no—
453C2×C4⋊C4—134no—
454C2×C4⋊C4—132no—
455C2×C4⋊C4—132no—
456C2×C4⋊C4—134no—
457C2×C4⋊C4—134no—
458C2×C4⋊C4—134no—
459C2×C4⋊C4—134no—
460C2×C4⋊C4—134no—
461C2×C4⋊C4—132no—
462C2×C4⋊C4—132no—
463C2×C4⋊C4—132no—
464C2×C4⋊C4—132no—
465C2×C4⋊C4—134no—
466C2×C4⋊C4—134no—
467C2×C4⋊C4—138no—
468C2×C4⋊C4—134no—
469C2×C4⋊C4—138no—
470C2×C4⋊C4C2×#26111yescharacteristic
471C2×C4⋊C4C2×#26112yes—
472C2×C4⋊C4C2×#26111yescharacteristic
473C2×C4⋊C4C2×#26112yes—
474C2×C22⋊C4—132no—
475C2×C22⋊C4—132no—
476C2×C22⋊C4—134no—
477C2×C42—131no—
478C2×C42—131no—
479C2×C42—131no—
480C2×C42—131no—
481C2×C42—131no—
482C2×C42—131no—
483C2×C42—131no—
484C2×C42—131no—
485C2×C42—131no—
486C2×C42—131no—
487C2×C42—131no—
488C2×C42—134no—
489C2×C42—138no—
490C2×C42—134no—
491C2×C42—132no—
492C2×C42—132no—
493C2×C42—134no—
494C2×C42—138no—
495C2×C42C2×#26111yescharacteristic
496#95—132no—
497#95—134no—
498#95—132no—
499#95—134no—
500#95—134no—
501#95—134no—
502#95—138no—
503#95—138no—
504#95—134no—
505#95—138no—
506#95—138no—
507C2×C13—22no—
508C2×C13C2×C4×#4111yescharacteristic
509C2×C13C2×#51911yescharacteristic
510C2×C13#342811yescharacteristic
511D13—22no—
512D13#351514yes—
513C24—131no—
514C22×C4—131no—
515C22×C4—134no—
516C22×C4—131no—
517C22×C4—131no—
518C22×C4—132no—
519C22×C4—131no—
520C22×C4—132no—
521C22×C4—131no—
522C22×C4—131no—
523C22×C4—131no—
524C22×C4—131no—
525C22×C4—131no—
526C22×C4—134no—
527C22×C4—134no—
528C22×C4—131no—
529C22×C4—131no—
530C22×C4—131no—
531C22×C4—131no—
532C22×C4—134no—
533C22×C4—131no—
534C22×C4—131no—
535C22×C4—134no—
536C22×C4—134no—
537C22×C4—138no—
538C22×C4—264no—
539C22×C4—268no—
540C22×C4—264no—
541C22×C4—522no—
542C22×C4—524no—
543C22×C4C22×#26111yescharacteristic
544C22×C4C22×#26111yescharacteristic
545C22×C4C22×#26112yes—
546C22×C4C22×#26111yescharacteristic
547C22×C4C22×#26112yes—
548C4⋊C4—134no—
549C4⋊C4—134no—
550C4⋊C4—134no—
551C4⋊C4—134no—
552C4⋊C4—134no—
553C4⋊C4—134no—
554C4⋊C4—134no—
555C4⋊C4—134no—
556C4⋊C4—134no—
557C4⋊C4—134no—
558C4⋊C4—134no—
559C4⋊C4—134no—
560C4⋊C4—134no—
561C4⋊C4—134no—
562C4⋊C4—134no—
563C4⋊C4—134no—
564C4⋊C4—132no—
565C4⋊C4—132no—
566C4⋊C4—132no—
567C4⋊C4—132no—
568C4⋊C4—268no—
569C4⋊C4—2616no—
570C4⋊C4—268no—
571C4⋊C4—528no—
572C4⋊C4C22×#26114yes—
573C4⋊C4C22×#26114yes—
574C4⋊C4C22×#26114yes—
575C4⋊C4C22×#26112yes—
576C4⋊C4C22×#26112yes—
577C4⋊C4C22×#26114yes—
578C4⋊C4C22×#26112yes—
579C4⋊C4C22×#26112yes—
580C22⋊C4—138no—
581C22⋊C4—264no—
582C22⋊C4—268no—
583C42—131no—
584C42—131no—
585C42—131no—
586C42—131no—
587C42—131no—
588C42—131no—
589C42—131no—
590C42—131no—
591C42—131no—
592C42—131no—
593C42—131no—
594C42—131no—
595C42—268no—
596C42—2616no—
597C42—268no—
598C42—522no—
599C42—524no—
600C42—522no—
601C42—528no—
602C42C22×#26111yescharacteristic
603C42C22×#26111yescharacteristic
604C42C22×#26111yescharacteristic
605C42C22×#26111yescharacteristic
606C13#3423911yescharacteristic, complemented, Sylow
607C23—131no—
608C23—134no—
609C23—131no—
610C23—262no—
611C23—262no—
612C23C23×#26111yescharacteristic
613C2×C4—22no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—131no—
619C2×C4—134no—
620C2×C4—138no—
621C2×C4—131no—
622C2×C4—131no—
623C2×C4—131no—
624C2×C4—131no—
625C2×C4—131no—
626C2×C4—134no—
627C2×C4—134no—
628C2×C4—262no—
629C2×C4—262no—
630C2×C4—264no—
631C2×C4—262no—
632C2×C4—262no—
633C2×C4—268no—
634C2×C4—264no—
635C2×C4—262no—
636C2×C4—262no—
637C2×C4—262no—
638C2×C4—268no—
639C2×C4—262no—
640C2×C4—262no—
641C2×C4—264no—
642C2×C4—264no—
643C2×C4—262no—
644C2×C4—264no—
645C2×C4—262no—
646C2×C4—264no—
647C2×C4—268no—
648C2×C4—264no—
649C2×C4—268no—
650C2×C4—264no—
651C2×C4—268no—
652C2×C4—521no—
653C2×C4—521no—
654C2×C4—524no—
655C2×C4—521no—
656C2×C4—522no—
657C2×C4C23×#26111yescharacteristic
658C2×C4C23×#26111yescharacteristic
659C2×C4C23×#26111yescharacteristic
660C2×C4C23×#26111yescharacteristic
661C2×C4C23×#26111yescharacteristic
662C2×C4C23×#26114yes—
663C2×C4C23×#26114yes—
664C2×C4C23×#26111yescharacteristic
665C22—21no—
666C22—21no—
667C22—132no—
668C22—132no—
669C22—132no—
670C22—132no—
671C22—268no—
672C22—261no—
673C22—261no—
674C22#41×#26112yes—
675C22C24×#26111yescharacteristic
676C4—21no—
677C4—24no—
678C4—21no—
679C4—21no—
680C4—21no—
681C4—21no—
682C4—24no—
683C4—132no—
684C4—268no—
685C4—261no—
686C4—261no—
687C4—264no—
688C4—261no—
689C4—261no—
690C4—261no—
691C4—264no—
692C4—524no—
693C4—528no—
694C4#1171962712yes—
695C2—22no—
696C2—134no—
697C2—262no—
698C2C2×#41×#26111yescharacteristic
699C2C2×#1171962711yescharacteristic
700C2#1313181611yescharacteristic
subgroupG/H
center, FrattiniC22C24×#261
commutator, socleC22×C13C24×C4
FittingC2×C13×#125C4
prime radicalC23×D13C24
cosocleC22×D13C25
hypercenterC2×#125#261
hypocenterC13#34239
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×#125

Complements

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

NH ≅ G/Ntype
1. #13131371C2semidirect
2. #13131370C2semidirect
6. #13131336C2semidirect
8. #125×#261C2semidirect
15. C2×C13×#125C4semidirect
16. D13×#125C4semidirect
17. D13×#125C4semidirect
18. D13×#125C4semidirect
19. D13×#125C4semidirect
28. C2×#88144C4semidirect
29. C2×#88144C4semidirect
30. C2×#88143C4semidirect
31. C2×#88143C4semidirect
33. C2×#88124C4semidirect
340. C2×#125#261semidirect
606. C13#34239semidirect

Maximal subgroups

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

subgroupindex
#131313712
#131313702
#131313452
#131313442
#131313362
#131313132
#125×#2612
#131312832
#131312742
C4×#882372
C2×D13×#1252
#3423913