Finite Group Databasebeta

← C2×#13128661 #16771397

Subgroups — C2×#13128661 #16771397

Order 3328.

6958 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128661C2132yesmaximal, direct product factor
2C2×#11719275C211yesmaximal, characteristic, complemented
3C2×#11719274C211yesmaximal, characteristic, complemented
4C2×#11719274C211yesmaximal, characteristic, complemented
5C2×#11719435C213yesmaximal, complemented
6C2×#11719284C213yesmaximal, complemented
7C2×#11719395C213yesmaximal, complemented
8C2×#11719395C213yesmaximal, complemented
9C2×#11719394C213yesmaximal, complemented
10C2×#11719434C213yesmaximal, complemented
11C2×#11719283C213yesmaximal, complemented
12C2×D13×#125C213yesmaximal, complemented
13C2×#11719279C211yesmaximal, characteristic
14C2×#11719279C211yesmaximal, characteristic
15C2×C4×#6131C211yesmaximal, characteristic
16C2×C13×#557C211yesmaximal, characteristic, complemented
17C22×#6131C2211yescharacteristic
18C13×#557C22116yescomplemented
19C2×C13×C4⋊Q8C2213yes—
20C2×C13×#125C2213yes—
21C2×C13×#125C2213yes—
22C2×C4×Q8×C13C2211yescharacteristic
23C2×C4×Q8×C13C2211yescharacteristic
24C2×C4×Q8×C13C2211yescharacteristic
25C2×C4×Q8×C13C2213yes—
26C2×#88200C2216yes—
27C2×#88200C2213yes—
28C2×Q8×Dic13C2211yescharacteristic
29C2×Q8×Dic13C2211yescharacteristic
30C2×Q8×Dic13C2211yescharacteristic
31C2×#88198C2213yes—
32#11719435C22148yescomplemented
33#11719434C22148yescomplemented
34#11719395C22148yescomplemented
35#11719395C22148yescomplemented
36#11719394C22148yescomplemented
37D13×#125C22148yescomplemented
38#11719284C22148yescomplemented
39#11719283C22148yescomplemented
40#11719279C22116yes—
41#11719279C22116yes—
42C4×#6131C22116yes—
43#11719275C22116yescomplemented
44#11719274C22116yescomplemented
45#11719274C22116yescomplemented
46C2×#88151C2216yes—
47C2×#88151C2213yes—
48C2×#88150C2216yes—
49C2×#88150C2216yes—
50C2×#88150C2213yes—
51C2×#88150C2213yes—
52C2×#88147C2213yes—
53C2×#88147C2213yes—
54C2×#88147C2213yes—
55C2×#88146C2213yes—
56C2×C4⋊C4×D13C2213yes—
57C2×C4⋊C4×D13C2213yes—
58C2×C4⋊C4×D13C2216yes—
59C2×C4⋊C4×D13C2216yes—
60C2×#88144C2213yes—
61C2×#88144C2213yes—
62C2×#88144C2213yes—
63C2×#88144C2213yes—
64C2×#88143C2216yes—
65C2×#88143C2213yes—
66C2×#88143C2211yescharacteristic
67C2×#88142C2213yes—
68C2×#88142C2213yes—
69C2×#88142C2213yes—
70C2×C4×D52C2213yes—
71C2×C4×D52C2213yes—
72C2×C4×D52C2213yes—
73C2×#88126C2213yes—
74C2×#88126C2213yes—
75C2×C42×D13C2213yes—
76C2×#88124C2213yes—
77C2×#88124C2213yes—
78C2×#88123C2213yes—
79C2×C4×Dic26C2213yes—
80C2×C4×Dic26C2213yes—
81C2×C4×Dic26C2213yes—
82C22×Q8×C13C2313yes—
83C22×Q8×C13C2311yescharacteristic
84C2×#6131Q8116yescomplemented
85C2×#6131C2318yes—
86C22×D52C2313yes—
87C22×C4×D13C2313yes—
88C22×C4×D13C2313yes—
89C22×C4×D13C2316yes—
90C22×C4×D13C2316yes—
91C22×C4×D13C2313yes—
92C22×Dic26C2313yes—
93C22×Dic26C2313yes—
94C22×Dic26C2313yes—
95C13×C4⋊Q8C23124yes—
96C13×#125C23124yes—
97C13×#125C23124yes—
98C4×Q8×C13C2318yes—
99C4×Q8×C13C2318yes—
100C4×Q8×C13C2318yes—
101C4×Q8×C13C23124yes—
102C2×C13×C4⋊C4C2313yes—
103C2×C13×C4⋊C4C2313yes—
104C2×C13×C4⋊C4C2313yes—
105C2×C13×C4⋊C4C2313yes—
106C2×C13×C4⋊C4C2316yes—
107C2×C13×C4⋊C4C2311yescharacteristic
108C2×C13×C4⋊C4C2313yes—
109C2×C42×C13C2313yes—
110C2×C42×C13C2313yes—
111C2×C42×C13C2313yes—
112#88200C23148yes—
113#88200C23124yes—
114Q8×Dic13C2318yes—
115Q8×Dic13C2318yes—
116Q8×Dic13C2318yes—
117#88198C23124yes—
118C2×#6103C2313yes—
119C2×#6103C2313yes—
120C2×#6103C2313yes—
121C2×#6103C2313yes—
122C2×#6103C2316yes—
123C2×C4⋊Dic13C2311yescharacteristic
124C2×C4⋊Dic13C2313yes—
125C2×C4⋊Dic13C2313yes—
126C2×C4⋊Dic13C2313yes—
127C2×C4⋊Dic13C2313yes—
128C2×C4⋊Dic13C2316yes—
129C2×C4⋊Dic13C2313yes—
130C2×#6101C2311yescharacteristic
131C2×#6101C2311yescharacteristic
132C2×#6101C2313yes—
133C2×#6101C2313yes—
134C2×#6101C2313yes—
135C2×#6101C2313yes—
136C2×#6101C2316yes—
137C2×#6101C2316yes—
138C2×#6101C2311yescharacteristic
139C2×#6101C2311yescharacteristic
140C2×#6101C2313yes—
141C2×#6101C2313yes—
142C2×C4×Dic13C2313yes—
143C2×C4×Dic13C2313yes—
144C2×C4×Dic13C2313yes—
145C2×C4×Dic13C2311yescharacteristic
146C2×C4×Dic13C2313yes—
147#88151C23148yes—
148#88151C23124yes—
149#88150C23148yes—
150#88150C23124yes—
151#88150C23124yes—
152#88150C23148yes—
153#88147C23124yes—
154#88147C23124yes—
155#88147C23124yes—
156#88146C23124yes—
157C4⋊C4×D13C23124yes—
158C4⋊C4×D13C23148yes—
159C4⋊C4×D13C23124yes—
160C4⋊C4×D13C23148yes—
161#88144C23124yes—
162#88144C23124yes—
163#88144C23124yes—
164#88144C23124yes—
165#88143C23148yes—
166#88143C2318yes—
167#88143C23124yes—
168#88142C23124yes—
169#88142C23124yes—
170#88142C23124yes—
171C4×D52C23124yes—
172C4×D52C23124yes—
173C4×D52C23124yes—
174#88126C23124yes—
175#88126C23124yes—
176C42×D13C23124yes—
177#88124C23124yes—
178#88124C23124yes—
179#88123C23124yes—
180C4×Dic26C23124yes—
181C4×Dic26C23124yes—
182C4×Dic26C23124yes—
183C2×#3504—131nomaximal, Sylow
184C23×D13C2413yes—
185C2×Q8×C13—46no—
186C2×Q8×C13C2×Q818yes—
187C2×Q8×C13C24112yes—
188C2×Q8×C13C2414yes—
189C22×C4×C13C2411yescharacteristic
190C22×C4×C13C2413yes—
191C22×C4×C13C2411yescharacteristic
192C22×C4×C13C2413yes—
193C22×C4×C13C2413yes—
194C22×C4×C13C2411yescharacteristic
195C22×C4×C13C2413yes—
196C22×Dic13C2411yescharacteristic
197C22×Dic13C2411yescharacteristic
198C22×Dic13C2411yescharacteristic
199C22×Dic13C2413yes—
200C22×Dic13C2413yes—
201C22×Dic13C2413yes—
202C22×Dic13C2411yescharacteristic
203#6131C2×Q8164yescomplemented
204C2×D52C2×Q8124yes—
205C2×D52C24112yes—
206C2×C4×D13—46no—
207C2×C4×D13—412no—
208C2×C4×D13—412no—
209C2×C4×D13—46no—
210C2×C4×D13C2×Q8124yes—
211C2×C4×D13C24112yes—
212C2×C4×D13C24112yes—
213C2×C4×D13C24124yes—
214C2×C4×D13C24124yes—
215C2×C4×D13C24112yes—
216C2×Dic26—46no—
217C2×Dic26—46no—
218C2×Dic26—46no—
219C2×Dic26C24112yes—
220C2×Dic26C24112yes—
221C2×Dic26C24112yes—
222C13×C4⋊C4C24112yes—
223C13×C4⋊C4C24112yes—
224C13×C4⋊C4C24112yes—
225C13×C4⋊C4C24112yes—
226C13×C4⋊C4C24124yes—
227C13×C4⋊C4C2414yes—
228C13×C4⋊C4C24112yes—
229C42×C13C24112yes—
230C42×C13C24112yes—
231C42×C13C24112yes—
232#6103C24112yes—
233#6103C24112yes—
234#6103C24112yes—
235#6103C24112yes—
236#6103C24124yes—
237C4⋊Dic13C2414yes—
238C4⋊Dic13C24112yes—
239C4⋊Dic13C24112yes—
240C4⋊Dic13C24112yes—
241C4⋊Dic13C24112yes—
242C4⋊Dic13C24124yes—
243C4⋊Dic13C24112yes—
244#6101C2414yes—
245#6101C2414yes—
246#6101C24112yes—
247#6101C24112yes—
248#6101C24112yes—
249#6101C24112yes—
250#6101C24124yes—
251#6101C24124yes—
252#6101C2414yes—
253#6101C2414yes—
254#6101C24112yes—
255#6101C24112yes—
256C4×Dic13C24112yes—
257C4×Dic13C24112yes—
258C4×Dic13C24112yes—
259C4×Dic13C2414yes—
260C4×Dic13C24112yes—
261#3504—1332no—
262C2×#557—131no—
263C2×#557—131no—
264C2×#557—131no—
265C2×#557D1311yescharacteristic, complemented
266C2×#554—133no—
267C2×#554—133no—
268C2×#554—133no—
269C2×#554—133no—
270C2×#544—133no—
271C2×#544—133no—
272C2×#533—133no—
273C22×#125—133no—
274C2×#520—131no—
275C2×#520—131no—
276C2×C4×#41—131no—
277C23×C13C2511yescharacteristic
278C22×D13—26no—
279C22×D13—26no—
280C22×D13C22×Q8112yes—
281C22×D13C2516yes—
282Q8×C13—412no—
283Q8×C13C22×Q8116yes—
284C2×C4×C13—22no—
285C2×C4×C13—26no—
286C2×C4×C13—26no—
287C2×C4×C13—22no—
288C2×C4×C13—26no—
289C2×C4×C13—22no—
290C2×C4×C13C22×Q8112yes—
291C2×C4×C13C2512yes—
292C2×C4×C13C2516yes—
293C2×C4×C13C2512yes—
294C2×C4×C13C2516yes—
295C2×C4×C13C2516yes—
296C2×C4×C13C2512yes—
297C2×C4×C13C2516yes—
298C2×Dic13—22no—
299C2×Dic13—22no—
300C2×Dic13—26no—
301C2×Dic13—26no—
302C2×Dic13—26no—
303C2×Dic13—22no—
304C2×Dic13C22×Q814yes—
305C2×Dic13C2512yes—
306C2×Dic13C2512yes—
307C2×Dic13C2512yes—
308C2×Dic13C2516yes—
309C2×Dic13C2516yes—
310C2×Dic13C2516yes—
311C2×Dic13C2512yes—
312D52C22×Q8148yes—
313C4×D13—412no—
314C4×D13—424no—
315C4×D13—424no—
316C4×D13—412no—
317C4×D13C22×Q8148yes—
318Dic26—412no—
319Dic26—412no—
320Dic26—412no—
321C22×#41—131no—
322#557—1316no—
323#557—1316no—
324#557—1316no—
325#557C2×D13116yescomplemented
326#554—1348no—
327#554—1348no—
328#554—1348no—
329#554—1348no—
330#544—1348no—
331#544—1348no—
332#533—1348no—
333C2×C4⋊Q8—133no—
334C2×C4⋊Q8—133no—
335C2×C4⋊Q8—133no—
336C2×C4⋊Q8—133no—
337C2×C4⋊Q8—133no—
338C2×C4⋊Q8C2×D1313yes—
339C2×#125—1348no—
340C2×#125—133no—
341C2×#125—136no—
342C2×#125—131no—
343C2×#125—133no—
344C2×#125—133no—
345C2×#125—133no—
346C2×#125—133no—
347C2×#125—133no—
348C2×#125—133no—
349C2×#125C2×D1313yes—
350C2×#125C2×D1313yes—
351C2×C22⋊Q8—133no—
352C2×C22⋊Q8—136no—
353C2×C22⋊Q8—133no—
354C2×C22⋊Q8—133no—
355C2×C22⋊Q8—136no—
356C2×C22⋊Q8—136no—
357C2×C22⋊Q8—133no—
358C2×C22⋊Q8—136no—
359#520—1316no—
360#520—1316no—
361C4×#41—1316no—
362C2×C4×Q8—131no—
363C2×C4×Q8—131no—
364C2×C4×Q8—131no—
365C2×C4×Q8—133no—
366C2×C4×Q8—133no—
367C2×C4×Q8—133no—
368C2×C4×Q8C2×D1311yescharacteristic
369C2×C4×Q8C2×D1311yescharacteristic
370C2×C4×Q8C2×D1311yescharacteristic
371C2×C4×Q8C2×D1313yes—
372C2×C4×D4—133no—
373C2×C4×D4—133no—
374C2×C4×D4—133no—
375C2×C4×D4—133no—
376C2×C4×D4—133no—
377C2×C4×D4—133no—
378C2×#117—133no—
379C2×#117—133no—
380C2×#117—133no—
381C22×C4⋊C4—133no—
382C22×C4⋊C4—133no—
383C22×C4⋊C4—136no—
384C22×C4⋊C4—136no—
385C22×C42—133no—
386C22×C13C23×Q812yes—
387C22×C13#58512yes—
388C22×C13#58512yes—
389C22×C13C2611yescharacteristic
390C2×D13—26no—
391C2×D13—26no—
392C2×D13—224no—
393C2×D13C23×Q8112yes—
394C4×C13—22no—
395C4×C13—26no—
396C4×C13—26no—
397C4×C13—22no—
398C4×C13—26no—
399C4×C13—22no—
400C4×C13C23×Q8112yes—
401Dic13—22no—
402Dic13—22no—
403Dic13—26no—
404Dic13—26no—
405Dic13—26no—
406Dic13—22no—
407Dic13C23×Q814yes—
408C2×#41—1316no—
409C2×#41—138no—
410C22×Q8—133no—
411C22×Q8—133no—
412C22×Q8—133no—
413C22×Q8C22×D1313yes—
414C22×Q8C22×D1311yescharacteristic
415C22×D4—133no—
416C23×C4—133no—
417C23×C4—136no—
418C23×C4—136no—
419C23×C4—133no—
420C23×C4—133no—
421C4⋊Q8—1324no—
422C4⋊Q8—1324no—
423C4⋊Q8—1324no—
424C4⋊Q8—1324no—
425C4⋊Q8—1324no—
426C4⋊Q8C22×D13124yes—
427#125—1324no—
428#125—1348no—
429#125—1324no—
430#125—1324no—
431#125—138no—
432#125—1324no—
433#125—1324no—
434#125—1324no—
435#125—1324no—
436#125C22×D13124yes—
437#125C22×D13124yes—
438C22⋊Q8—1324no—
439C22⋊Q8—1348no—
440C22⋊Q8—1324no—
441C22⋊Q8—1324no—
442C22⋊Q8—1324no—
443C22⋊Q8—1348no—
444C22⋊Q8—1348no—
445C22⋊Q8—1348no—
446C4×Q8—138no—
447C4×Q8—138no—
448C4×Q8—138no—
449C4×Q8—1324no—
450C4×Q8—1324no—
451C4×Q8—1324no—
452C4×Q8C22×D1318yes—
453C4×Q8C22×D1318yes—
454C4×Q8C22×D1318yes—
455C4×Q8C22×D13124yes—
456C4×D4—1324no—
457C4×D4—1324no—
458C4×D4—1324no—
459C4×D4—1324no—
460C4×D4—1324no—
461C4×D4—1324no—
462#117—1324no—
463#117—1324no—
464#117—1324no—
465C2×C4⋊C4—133no—
466C2×C4⋊C4—133no—
467C2×C4⋊C4—133no—
468C2×C4⋊C4—133no—
469C2×C4⋊C4—133no—
470C2×C4⋊C4—133no—
471C2×C4⋊C4—133no—
472C2×C4⋊C4—136no—
473C2×C4⋊C4—136no—
474C2×C4⋊C4—136no—
475C2×C4⋊C4—131no—
476C2×C4⋊C4—131no—
477C2×C4⋊C4—133no—
478C2×C4⋊C4—131no—
479C2×C4⋊C4—131no—
480C2×C4⋊C4—131no—
481C2×C4⋊C4—133no—
482C2×C4⋊C4—133no—
483C2×C4⋊C4—133no—
484C2×C4⋊C4—1324no—
485C2×C4⋊C4—1324no—
486C2×C4⋊C4—1348no—
487C2×C4⋊C4—1348no—
488C2×C4⋊C4C22×D1313yes—
489C2×C4⋊C4C22×D1313yes—
490C2×C4⋊C4C22×D1313yes—
491C2×C4⋊C4C22×D1316yes—
492C2×C4⋊C4C22×D1313yes—
493C2×C4⋊C4C22×D1311yescharacteristic
494C2×C4⋊C4C22×D1313yes—
495C2×C22⋊C4—133no—
496C2×C22⋊C4—133no—
497C2×C22⋊C4—136no—
498C2×C22⋊C4—133no—
499C2×C22⋊C4—133no—
500C2×C42—133no—
501C2×C42—133no—
502C2×C42—133no—
503C2×C42—133no—
504C2×C42—131no—
505C2×C42—1324no—
506C2×C42C22×D1313yes—
507C2×C42C22×D1313yes—
508C2×C42C22×D1313yes—
509C2×C13#350414yescomplemented
510C2×C13C24×Q811yescharacteristic
511C2×C13C2×#58511yescharacteristic
512C2×C13C2×#58511yescharacteristic
513D13—212no—
514C24—133no—
515#41—1364no—
516C2×Q8—46no—
517C2×Q8—1312no—
518C2×Q8—1312no—
519C2×Q8—1312no—
520C2×Q8—526no—
521C2×Q8—526no—
522C2×Q8—526no—
523C2×Q8Q8×D1318yes—
524C2×Q8C23×D13112yes—
525C2×Q8C23×D1314yes—
526C2×D4—1324no—
527C2×D4—1312no—
528C22×C4—131no—
529C22×C4—1324no—
530C22×C4—1312no—
531C22×C4—131no—
532C22×C4—131no—
533C22×C4—131no—
534C22×C4—133no—
535C22×C4—133no—
536C22×C4—133no—
537C22×C4—1312no—
538C22×C4—1312no—
539C22×C4—1324no—
540C22×C4—1324no—
541C22×C4—5212no—
542C22×C4—526no—
543C22×C4—526no—
544C22×C4—5212no—
545C22×C4C23×D1311yescharacteristic
546C22×C4C23×D1313yes—
547C22×C4C23×D1311yescharacteristic
548C22×C4C23×D1311yescharacteristic
549C22×C4C23×D1313yes—
550C22×C4C23×D1313yes—
551C22×C4C23×D1313yes—
552C4⋊C4—1312no—
553C4⋊C4—1312no—
554C4⋊C4—1312no—
555C4⋊C4—1312no—
556C4⋊C4—1312no—
557C4⋊C4—1312no—
558C4⋊C4—1312no—
559C4⋊C4—1324no—
560C4⋊C4—1324no—
561C4⋊C4—1324no—
562C4⋊C4—134no—
563C4⋊C4—134no—
564C4⋊C4—1312no—
565C4⋊C4—134no—
566C4⋊C4—134no—
567C4⋊C4—134no—
568C4⋊C4—1312no—
569C4⋊C4—1312no—
570C4⋊C4—1312no—
571C4⋊C4C23×D13112yes—
572C4⋊C4C23×D13112yes—
573C4⋊C4C23×D13112yes—
574C4⋊C4C23×D13124yes—
575C4⋊C4C23×D13112yes—
576C4⋊C4C23×D1314yes—
577C4⋊C4C23×D13112yes—
578C22⋊C4—1312no—
579C22⋊C4—1312no—
580C22⋊C4—1324no—
581C22⋊C4—1312no—
582C22⋊C4—1312no—
583C42—134no—
584C42—1312no—
585C42—1312no—
586C42—1312no—
587C42—1312no—
588C42C23×D13112yes—
589C42C23×D13112yes—
590C42C23×D13112yes—
591C13C2×#350411yescharacteristic, complemented, Sylow
592C23—1312no—
593C23—136no—
594C23—266no—
595C23—266no—
596C23C24×D1311yescharacteristic
597Q8—412no—
598Q8—5212no—
599Q8—5212no—
600Q8—5212no—
601Q8C2×Q8×D13116yes—
602D4—1348no—
603C2×C4—26no—
604C2×C4—26no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—26no—
608C2×C4—22no—
609C2×C4—134no—
610C2×C4—132no—
611C2×C4—1348no—
612C2×C4—132no—
613C2×C4—132no—
614C2×C4—132no—
615C2×C4—136no—
616C2×C4—136no—
617C2×C4—136no—
618C2×C4—262no—
619C2×C4—266no—
620C2×C4—262no—
621C2×C4—266no—
622C2×C4—266no—
623C2×C4—262no—
624C2×C4—5224no—
625C2×C4—5212no—
626C2×C4—5212no—
627C2×C4—5224no—
628C2×C4C2×Q8×D13112yes—
629C2×C4C24×D1312yes—
630C2×C4C24×D1316yes—
631C2×C4C24×D1312yes—
632C2×C4C24×D1312yes—
633C2×C4C24×D1316yes—
634C2×C4C24×D1316yes—
635C2×C4C24×D1316yes—
636C22—1312no—
637C22—266no—
638C22—266no—
639C22—2624no—
640C22C22×Q8×D1312yes—
641C22#1171964812yes—
642C22#1171965212yes—
643C22C25×D1311yescharacteristic
644C4—26no—
645C4—26no—
646C4—22no—
647C4—22no—
648C4—26no—
649C4—22no—
650C4—134no—
651C4—262no—
652C4—266no—
653C4—262no—
654C4—266no—
655C4—266no—
656C4—262no—
657C4C22×Q8×D13112yes—
658C2—2612no—
659C2#1312866114yesdirect product factor
660C2C23×Q8×D1311yescharacteristic
661C2C2×#1171964811yescharacteristic
662C2C2×#1171965211yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#557C2
socleC23×C13C25
prime radicalC22×#6131C22
hypercenterC2×#557D13
hypocenterC13C2×#3504
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
1. #13128661C2direct (N × H)
2. C2×#11719275C2semidirect
3. C2×#11719274C2semidirect
4. C2×#11719274C2semidirect
5. C2×#11719435C2semidirect
6. C2×#11719284C2semidirect
7. C2×#11719395C2semidirect
8. C2×#11719395C2semidirect
9. C2×#11719394C2semidirect
10. C2×#11719434C2semidirect
11. C2×#11719283C2semidirect
12. C2×D13×#125C2semidirect
16. C2×C13×#557C2semidirect
18. C13×#557C22semidirect
32. #11719435C22semidirect
33. #11719434C22semidirect
34. #11719395C22semidirect
35. #11719395C22semidirect
36. #11719394C22semidirect
37. D13×#125C22semidirect
38. #11719284C22semidirect
39. #11719283C22semidirect
43. #11719275C22semidirect
44. #11719274C22semidirect
45. #11719274C22semidirect
84. C2×#6131Q8semidirect
203. #6131C2×Q8semidirect
265. C2×#557D13semidirect
325. #557C2×D13semidirect
509. C2×C13#3504semidirect
591. C13C2×#3504semidirect
659. C2#13128661direct (N × H)

Maximal subgroups

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

subgroupindex
#131286612
C2×#117192752
C2×#117192742
C2×#117194352
C2×#117192842
C2×#117193952
C2×#117193942
C2×#117194342
C2×#117192832
C2×D13×#1252
C2×#117192792
C2×C4×#61312
C2×C13×#5572
C2×#350413