Finite Group Databasebeta

← C2×#13126098 #16735118

Subgroups — C2×#13126098 #16735118

Order 3328.

1678 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719224C211yesmaximal, characteristic
2#13126098C2116yesmaximal, direct product factor
3C2×#11718726C211yesmaximal, characteristic, complemented
4C2×#11718725C211yesmaximal, characteristic, complemented
5C2×#11718743C211yesmaximal, characteristic, complemented
6C2×#11718742C211yesmaximal, characteristic, complemented
7C2×#11718705C211yesmaximal, characteristic
8C2×#11718706C211yesmaximal, characteristic
9C2×#11718706C211yesmaximal, characteristic
10C2×#11718704C211yesmaximal, characteristic
11C2×#11718683C211yesmaximal, characteristic, complemented
12C2×#11718683C211yesmaximal, characteristic, complemented
13C2×#11718682C211yesmaximal, characteristic, complemented
14C2×#11718681C211yesmaximal, characteristic, complemented
15C2×#11718661C211yesmaximal, characteristic
16C2×C13×#541C211yesmaximal, characteristic
17C13×#541—24no—
18C13×#541C2218yes—
19C2×C13×C4⋊Q8C2211yescharacteristic
20C2×C13×#126—21no—
21C2×C13×#126—21no—
22C2×C13×#125—21no—
23C2×C13×#125—21no—
24C2×C13×#125C2211yescharacteristic
25C2×C13×C22⋊Q8C2211yescharacteristic
26C2×C13×C22⋊Q8C2211yescharacteristic
27C2×C4×Q8×C13C2211yescharacteristic
28C2×C4×Q8×C13C2211yescharacteristic
29C2×C13×#117C2211yescharacteristic
30C2×#88180C2211yescharacteristic
31C22×C4⋊Dic13C2211yescharacteristic
32#11719224—24no—
33#11719224C2218yes—
34C2×#88144—21no—
35C2×#88142—21no—
36C2×#88132—21no—
37C2×#88132—21no—
38C2×#88124C2211yescharacteristic
39C2×#88124C2211yescharacteristic
40C2×#88123C2211yescharacteristic
41C2×#88123C2211yescharacteristic
42C2×#88075C2211yescharacteristic
43C2×#88075C2211yescharacteristic
44C2×#88075C2211yescharacteristic
45C2×#88075C2211yescharacteristic
46C2×#88075C2211yescharacteristic
47C2×#88075C2211yescharacteristic
48C2×#88075C2211yescharacteristic
49C2×#88075C2211yescharacteristic
50C2×C22⋊#1055C2211yescharacteristic
51C2×C22⋊#1055C2211yescharacteristic
52#11718743C2218yescomplemented
53#11718742C2218yescomplemented
54#11718726C2218yescomplemented
55#11718725C2218yescomplemented
56#11718706C2218yes—
57#11718706C2218yes—
58#11718705C2218yes—
59#11718704C2218yes—
60#11718683C2218yescomplemented
61#11718683C2218yescomplemented
62#11718682C2218yescomplemented
63#11718681C2218yescomplemented
64#11718661C2218yes—
65C2×#88048C2211yescharacteristic
66C2×#88048C2211yescharacteristic
67C2×#88048C2211yescharacteristic
68C2×#88048C2211yescharacteristic
69C2×#88047C2211yescharacteristic
70C2×#88047C2211yescharacteristic
71C2×#88047C2211yescharacteristic
72C2×#88047C2211yescharacteristic
73C2×C4⋊#1055C2211yescharacteristic
74C2×C4⋊#1055C2211yescharacteristic
75C2×#88043C2211yescharacteristic
76C2×C4×#1055C2211yescharacteristic
77C22×Q8×C13C2311yescharacteristic
78C22×Q8×C13C2311yescharacteristic
79C23×C4×C13C2311yescharacteristic
80C23×Dic13—21no—
81C22×Dic26—21no—
82C22×Dic26—21no—
83C13×C4⋊Q8—22no—
84C13×C4⋊Q8C2314yes—
85C13×#126—28no—
86C13×#126—28no—
87C13×#125—28no—
88C13×#125—28no—
89C13×#125—22no—
90C13×#125C2314yes—
91C13×C22⋊Q8—22no—
92C13×C22⋊Q8—22no—
93C13×C22⋊Q8C2314yes—
94C13×C22⋊Q8C2314yes—
95C4×Q8×C13—22no—
96C4×Q8×C13—22no—
97C4×Q8×C13C2314yes—
98C4×Q8×C13C2314yes—
99C13×#117D414yes—
100C13×#117C2314yes—
101C2×C13×C4⋊C4—21no—
102C2×C13×C4⋊C4—21no—
103C2×C13×C4⋊C4—21no—
104C2×C13×C4⋊C4—21no—
105C2×C13×C4⋊C4—21no—
106C2×C13×C4⋊C4—21no—
107C2×C13×C4⋊C4—21no—
108C2×C13×C4⋊C4—21no—
109C2×C13×C4⋊C4D411yescharacteristic
110C2×C13×C4⋊C4D411yescharacteristic
111C2×C13×C4⋊C4C2311yescharacteristic
112C2×C13×C4⋊C4C2311yescharacteristic
113C2×C13×C22⋊C4—21no—
114C2×C13×C22⋊C4—21no—
115C2×C13×C22⋊C4D411yescharacteristic
116C2×C13×C22⋊C4D411yescharacteristic
117C2×C42×C13—21no—
118C2×C42×C13—21no—
119C2×C42×C13C2311yescharacteristic
120C2×C42×C13C2311yescharacteristic
121C2×C22⋊Dic13—21no—
122#88180—22no—
123#88180C2314yes—
124C2×C4⋊Dic13—21no—
125C2×C4⋊Dic13—21no—
126C2×C4⋊Dic13—21no—
127C2×C4⋊Dic13—22no—
128C2×C4⋊Dic13C2311yescharacteristic
129C2×C4⋊Dic13C2311yescharacteristic
130C2×C4⋊Dic13C2311yescharacteristic
131C2×C4⋊Dic13C2311yescharacteristic
132C2×C4⋊Dic13C2314yes—
133C2×#6101—21no—
134C2×#6101—21no—
135C2×#6101—21no—
136C2×#6101—21no—
137C2×C4×Dic13—21no—
138C22×#1055C2311yescharacteristic
139C22×#1055C2311yescharacteristic
140C22×#1055C2311yescharacteristic
141C22×#1055C2311yescharacteristic
142#88144—28no—
143#88142—28no—
144#88132—28no—
145#88132—28no—
146#88124—22no—
147#88124—22no—
148#88124C2314yes—
149#88124C2314yes—
150#88123—22no—
151#88123—22no—
152#88123C2314yes—
153#88123C2314yes—
154#88075C2314yes—
155#88075C2314yes—
156#88075C2314yes—
157#88075C2314yes—
158#88075C2314yes—
159#88075C2314yes—
160#88075C2314yes—
161#88075C2314yes—
162C22⋊#1055C2314yes—
163C22⋊#1055C2314yes—
164#88048C2314yes—
165#88048C2314yes—
166#88048C2314yes—
167#88048C2314yes—
168#88047C2314yes—
169#88047C2314yes—
170#88047C2314yes—
171#88047C2314yes—
172C4⋊#1055C2314yes—
173C4⋊#1055C2314yes—
174#88043C2314yes—
175C4×#1055C2314yes—
176C2×#3242—131nomaximal, Sylow
177C24×C13C2×D411yescharacteristic
178C2×Q8×C13—21no—
179C2×Q8×C13—21no—
180C2×Q8×C13—22no—
181C2×Q8×C13—22no—
182C2×Q8×C13—22no—
183C2×Q8×C13—22no—
184C2×Q8×C13C2412yes—
185C2×Q8×C13C2412yes—
186C22×C4×C13—22no—
187C22×C4×C13—22no—
188C22×C4×C13—21no—
189C22×C4×C13—21no—
190C22×C4×C13—21no—
191C22×C4×C13—21no—
192C22×C4×C13C2×D411yescharacteristic
193C22×C4×C13C2×D411yescharacteristic
194C22×C4×C13C2×D411yescharacteristic
195C22×C4×C13C2×D411yescharacteristic
196C22×C4×C13C2×D411yescharacteristic
197C22×C4×C13C2×D412yes—
198C22×C4×C13C2412yes—
199C22×C4×C13C2411yescharacteristic
200C22×Dic13—21no—
201C22×Dic13—21no—
202C22×Dic13—21no—
203C22×Dic13—21no—
204C22×Dic13—24no—
205C22×Dic13—82no—
206C2×Dic26—24no—
207C2×Dic26—24no—
208C2×Dic26—82no—
209C2×Dic26—82no—
210C13×C4⋊C4—24no—
211C13×C4⋊C4—24no—
212C13×C4⋊C4—24no—
213C13×C4⋊C4—24no—
214C13×C4⋊C4—24no—
215C13×C4⋊C4—24no—
216C13×C4⋊C4—24no—
217C13×C4⋊C4—24no—
218C13×C4⋊C4—21no—
219C13×C4⋊C4—21no—
220C13×C4⋊C4C2×D414yes—
221C13×C4⋊C4C2×D414yes—
222C13×C4⋊C4C2412yes—
223C13×C4⋊C4C2412yes—
224C13×C22⋊C4—24no—
225C13×C22⋊C4—24no—
226C13×C22⋊C4C2×D414yes—
227C13×C22⋊C4C2×D414yes—
228C42×C13—24no—
229C42×C13—24no—
230C42×C13C2×D412yes—
231C42×C13C2×D412yes—
232C42×C13C2412yes—
233C42×C13C2412yes—
234C22⋊Dic13—24no—
235C4⋊Dic13—21no—
236C4⋊Dic13—21no—
237C4⋊Dic13—21no—
238C4⋊Dic13—24no—
239C4⋊Dic13—24no—
240C4⋊Dic13—21no—
241C4⋊Dic13—24no—
242C4⋊Dic13C2412yes—
243C4⋊Dic13C2412yes—
244C4⋊Dic13C2412yes—
245C4⋊Dic13C2412yes—
246#6101—24no—
247#6101—24no—
248#6101—24no—
249#6101—24no—
250C4×Dic13—24no—
251C2×#1055—22no—
252C2×#1055—22no—
253C2×#1055—22no—
254C2×#1055—22no—
255C2×#1055C2412yes—
256C2×#1055C2412yes—
257C2×#1055C2412yes—
258C2×#1055C2412yes—
259C2×#544—131no—
260C2×#541D1311yescharacteristic
261#3242—1316no—
262C2×#501—131no—
263C2×#499—131no—
264C2×#491—131no—
265C2×#487—131no—
266C2×#484—131no—
267C2×#485—131no—
268C2×#485—131no—
269C2×#483—131no—
270C2×#479—131no—
271C2×#479—131no—
272C2×#477—131no—
273C2×#475—131no—
274C2×#433—131no—
275C23×C13—22no—
276C23×C13—22no—
277C23×C13—22no—
278C23×C13C22×D412yes—
279C23×C13C22×D411yescharacteristic
280Q8×C13—22no—
281Q8×C13—22no—
282Q8×C13—22no—
283Q8×C13—22no—
284Q8×C13—42no—
285Q8×C13—42no—
286C2×C4×C13—22no—
287C2×C4×C13—22no—
288C2×C4×C13—22no—
289C2×C4×C13—22no—
290C2×C4×C13—22no—
291C2×C4×C13—24no—
292C2×C4×C13—22no—
293C2×C4×C13—22no—
294C2×C4×C13—22no—
295C2×C4×C13—22no—
296C2×C4×C13—22no—
297C2×C4×C13—22no—
298C2×C4×C13—42no—
299C2×C4×C13—42no—
300C2×C4×C13—42no—
301C2×C4×C13—42no—
302C2×C4×C13C22×D412yes—
303C2×C4×C13C22×D412yes—
304C2×C4×C13C22×D412yes—
305C2×C4×C13C22×D412yes—
306C2×C4×C13C22×D412yes—
307C2×C4×C13C22×D411yescharacteristic
308C2×C4×C132−1+412yes—
309C2×C4×C132−1+412yes—
310C2×C4×C13C2511yescharacteristic
311C2×Dic13—22no—
312C2×Dic13—22no—
313C2×Dic13—22no—
314C2×Dic13—22no—
315C2×Dic13—42no—
316C2×Dic13—42no—
317C2×Dic13—42no—
318C2×Dic13—42no—
319C2×Dic13—84no—
320Dic26—84no—
321Dic26—84no—
322#1055—22no—
323#1055—22no—
324#1055—22no—
325#1055—22no—
326#544—138no—
327#544—264no—
328#541—24no—
329#541C2×D1318yes—
330C2×C4⋊Q8—131no—
331C2×C4⋊Q8—131no—
332C2×C4⋊Q8—261no—
333C2×C4⋊Q8C2×D1311yescharacteristic
334C2×#126—21no—
335C2×#126—21no—
336C2×#125—21no—
337C2×#125—21no—
338C2×#125—131no—
339C2×#125—131no—
340C2×#125—261no—
341C2×#125C2×D1311yescharacteristic
342C2×C22⋊Q8—261no—
343C2×C22⋊Q8—261no—
344C2×C22⋊Q8C2×D1311yescharacteristic
345C2×C22⋊Q8C2×D1311yescharacteristic
346C2×C4×Q8C2×D1311yescharacteristic
347C2×C4×Q8C2×D1311yescharacteristic
348C2×#117—131no—
349C2×#117C2×D1311yescharacteristic
350C22×C4⋊C4—131no—
351#501—138no—
352#499—138no—
353#491—138no—
354#487—138no—
355#485—138no—
356#485—138no—
357#484—138no—
358#483—138no—
359#479—138no—
360#479—138no—
361#477—138no—
362#475—138no—
363#433—138no—
364C2×#107—131no—
365C2×#107—131no—
366C2×#107—131no—
367C2×#107—131no—
368C2×#106—131no—
369C2×#106—131no—
370C2×#106—131no—
371C2×#106—131no—
372C2×C4⋊C8—131no—
373C2×C4⋊C8—131no—
374C2×#103—131no—
375C2×#103—131no—
376C2×#103—131no—
377C2×#103—131no—
378C2×#103—131no—
379C2×#103—131no—
380C2×#103—131no—
381C2×#103—131no—
382C2×C22⋊C8—131no—
383C2×C22⋊C8—131no—
384C2×#97—131no—
385C2×C4×C8—131no—
386C22×C13—22no—
387C22×C13—22no—
388C22×C13—22no—
389C22×C13—44no—
390C22×C13#53612yes—
391C22×C13#57712yes—
392C22×C13#57812yes—
393C22×C13C23×D411yescharacteristic
394C4×C13—22no—
395C4×C13—22no—
396C4×C13—22no—
397C4×C13—22no—
398C4×C13—22no—
399C4×C13—42no—
400C4×C13—42no—
401C4×C13—42no—
402C4×C13—42no—
403C4×C13#53612yes—
404C4×C13C2×2−1+411yescharacteristic
405C4×C13C2×2−1+411yescharacteristic
406Dic13—42no—
407Dic13—42no—
408Dic13—42no—
409Dic13—42no—
410C22×Q8—261no—
411C22×Q8—261no—
412C22×Q8C22×D1311yescharacteristic
413C22×Q8C22×D1311yescharacteristic
414C23×C4—261no—
415C23×C4C22×D1311yescharacteristic
416C22×C8—131no—
417C22×C8—131no—
418C22×C8—131no—
419C22×C8—131no—
420C4⋊Q8—22no—
421C4⋊Q8—134no—
422C4⋊Q8—134no—
423C4⋊Q8—268no—
424C4⋊Q8—262no—
425C4⋊Q8—262no—
426C4⋊Q8C22×D1314yes—
427#126—28no—
428#126—28no—
429#125—28no—
430#125—28no—
431#125—22no—
432#125—134no—
433#125—134no—
434#125—268no—
435#125—262no—
436#125—262no—
437#125C22×D1314yes—
438C22⋊Q8—22no—
439C22⋊Q8—22no—
440C22⋊Q8—268no—
441C22⋊Q8—268no—
442C22⋊Q8C22×D1314yes—
443C22⋊Q8C22×D1314yes—
444C4×Q8—22no—
445C4×Q8—22no—
446C4×Q8C22×D1314yes—
447C4×Q8C22×D1314yes—
448#117—134no—
449#117—262no—
450#117C22⋊D1314yes—
451#117C22×D1314yes—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—131no—
461C2×C4⋊C4—131no—
462C2×C4⋊C4—134no—
463C2×C4⋊C4—131no—
464C2×C4⋊C4—131no—
465C2×C4⋊C4—261no—
466C2×C4⋊C4—262no—
467C2×C4⋊C4—261no—
468C2×C4⋊C4—261no—
469C2×C4⋊C4—261no—
470C2×C4⋊C4—261no—
471C2×C4⋊C4—261no—
472C2×C4⋊C4—261no—
473C2×C4⋊C4C22⋊D1311yescharacteristic
474C2×C4⋊C4C22⋊D1311yescharacteristic
475C2×C4⋊C4C22×D1311yescharacteristic
476C2×C4⋊C4C22×D1311yescharacteristic
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—261no—
480C2×C22⋊C4C22⋊D1311yescharacteristic
481C2×C22⋊C4C22⋊D1311yescharacteristic
482C2×C42—21no—
483C2×C42—21no—
484C2×C42—261no—
485C2×C42C22×D1311yescharacteristic
486C2×C42C22×D1311yescharacteristic
487#107—134no—
488#107—134no—
489#107—134no—
490#107—134no—
491#106—134no—
492#106—134no—
493#106—134no—
494#106—134no—
495C4⋊C8—134no—
496C4⋊C8—134no—
497#103—134no—
498#103—134no—
499#103—134no—
500#103—134no—
501#103—134no—
502#103—134no—
503#103—134no—
504#103—134no—
505C22⋊C8—134no—
506C22⋊C8—134no—
507#97—134no—
508C4×C8—134no—
509C2×C13—42no—
510C2×C13#324214yescomplemented
511C2×C13C2×#53611yescharacteristic
512C2×C13C2×#57711yescharacteristic
513C2×C13C2×#57811yescharacteristic
514C24C2×C22⋊D1311yescharacteristic
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—22no—
518C2×Q8—22no—
519C2×Q8—22no—
520C2×Q8—22no—
521C2×Q8—264no—
522C2×Q8—264no—
523C2×Q8—1042no—
524C2×Q8—1042no—
525C2×Q8C23×D1312yes—
526C2×Q8C23×D1312yes—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—261no—
534C22×C4—261no—
535C22×C4—261no—
536C22×C4—261no—
537C22×C4—264no—
538C22×C4—1042no—
539C22×C4C2×C22⋊D1312yes—
540C22×C4C2×C22⋊D1311yescharacteristic
541C22×C4C2×C22⋊D1311yescharacteristic
542C22×C4C2×C22⋊D1311yescharacteristic
543C22×C4C2×C22⋊D1311yescharacteristic
544C22×C4C2×C22⋊D1311yescharacteristic
545C22×C4C23×D1312yes—
546C22×C4C23×D1311yescharacteristic
547C2×C8—132no—
548C2×C8—132no—
549C2×C8—132no—
550C2×C8—132no—
551C2×C8—262no—
552C2×C8—262no—
553C2×C8—262no—
554C2×C8—262no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—132no—
566C4⋊C4—132no—
567C4⋊C4—132no—
568C4⋊C4—132no—
569C4⋊C4—264no—
570C4⋊C4—261no—
571C4⋊C4—261no—
572C4⋊C4—261no—
573C4⋊C4—261no—
574C4⋊C4—264no—
575C4⋊C4—264no—
576C4⋊C4—264no—
577C4⋊C4—264no—
578C4⋊C4—264no—
579C4⋊C4—264no—
580C4⋊C4C2×C22⋊D1314yes—
581C4⋊C4C2×C22⋊D1314yes—
582C4⋊C4C23×D1312yes—
583C4⋊C4C23×D1312yes—
584C22⋊C4—24no—
585C22⋊C4—24no—
586C22⋊C4—264no—
587C22⋊C4C2×C22⋊D1314yes—
588C22⋊C4C2×C22⋊D1314yes—
589C42—24no—
590C42—24no—
591C42—264no—
592C42C2×C22⋊D1312yes—
593C42C2×C22⋊D1312yes—
594C42C23×D1312yes—
595C42C23×D1312yes—
596C13C2×#324211yescharacteristic, complemented, Sylow
597C23—22no—
598C23—22no—
599C23—22no—
600C23C22×C22⋊D1312yes—
601C23C22×C22⋊D1311yescharacteristic
602Q8—22no—
603Q8—22no—
604Q8—22no—
605Q8—22no—
606Q8—42no—
607Q8—42no—
608Q8—1044no—
609Q8—1044no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—262no—
627C2×C4—262no—
628C2×C4—262no—
629C2×C4—262no—
630C2×C4—522no—
631C2×C4—522no—
632C2×C4—522no—
633C2×C4—522no—
634C2×C4—1044no—
635C2×C4#8825712yes—
636C2×C4#8825712yes—
637C2×C4C22×C22⋊D1312yes—
638C2×C4C22×C22⋊D1312yes—
639C2×C4C22×C22⋊D1312yes—
640C2×C4C22×C22⋊D1312yes—
641C2×C4C22×C22⋊D1312yes—
642C2×C4C22×C22⋊D1311yescharacteristic
643C2×C4C24×D1311yescharacteristic
644C8—262no—
645C8—262no—
646C8—262no—
647C8—262no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—44no—
652C22#1171953012yes—
653C22#1171954212yes—
654C22#1171954312yes—
655C22C23×C22⋊D1311yescharacteristic
656C4—22no—
657C4—22no—
658C4—22no—
659C4—22no—
660C4—22no—
661C4—42no—
662C4—42no—
663C4—42no—
664C4—42no—
665C4—522no—
666C4—522no—
667C4—522no—
668C4—522no—
669C4#1171953012yes—
670C4C2×#8825711yescharacteristic
671C4C2×#8825711yescharacteristic
672C2—42no—
673C2#1312609814yesdirect product factor
674C2C2×#1171953011yescharacteristic
675C2C2×#1171954211yescharacteristic
676C2C2×#1171954311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#541C2
socleC23×C13C22×D4
prime radicalC24×C13C2×D4
hypercenterC2×#541D13
hypocenterC13C2×#3242
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
2. #13126098C2direct (N × H)
3. C2×#11718726C2semidirect
4. C2×#11718725C2semidirect
5. C2×#11718743C2semidirect
6. C2×#11718742C2semidirect
11. C2×#11718683C2semidirect
12. C2×#11718683C2semidirect
13. C2×#11718682C2semidirect
14. C2×#11718681C2semidirect
52. #11718743C22semidirect
53. #11718742C22semidirect
54. #11718726C22semidirect
55. #11718725C22semidirect
60. #11718683C22semidirect
61. #11718683C22semidirect
62. #11718682C22semidirect
63. #11718681C22semidirect
510. C2×C13#3242semidirect
596. C13C2×#3242semidirect
673. C2#13126098direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192242
#131260982
C2×#117187262
C2×#117187252
C2×#117187432
C2×#117187422
C2×#117187052
C2×#117187062
C2×#117187042
C2×#117186832
C2×#117186822
C2×#117186812
C2×#117186612
C2×C13×#5412
C2×#324213