Finite Group Databasebeta

← C2×#13083124 #15661227

Subgroups — C2×#13083124 #15661227

Order 2816.

6554 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083124C2132yesmaximal, direct product factor
2C2×#10623230C214yesmaximal, complemented
3C2×#10623116C212yesmaximal, complemented
4C2×#10623100C212yesmaximal, complemented
5C2×#10623263C212yesmaximal, complemented
6C2×#10623221C212yesmaximal, complemented
7C2×#10623225C214yesmaximal, complemented
8C2×#10623174C212yesmaximal, complemented
9C2×#10623241C214yesmaximal, complemented
10C2×#10623066C211yesmaximal, characteristic
11C2×#10623238C214yesmaximal, complemented
12C2×#10623048C211yesmaximal, characteristic, complemented
13C2×#10623155C212yesmaximal, complemented
14C2×C11×#541C211yesmaximal, characteristic, complemented
15C11×#541C22116yescomplemented
16C2×C11×C4⋊Q8C2211yescharacteristic
17C2×C11×#126C2214yes—
18C2×C11×#125C2214yes—
19C2×C11×#125C2211yescharacteristic
20C2×C11×C22⋊Q8C2212yes—
21C2×C4×Q8×C11C2212yes—
22C2×C11×#117C2211yescharacteristic
23C2×#67000C2212yes—
24C2×#67000C2212yes—
25C2×Q8×Dic11C2212yes—
26C2×Q8×Dic11C2212yes—
27C2×#66983C2212yes—
28C2×#66979C2211yescharacteristic
29C22×C4×Dic11C2211yescharacteristic
30#10623263C22132yescomplemented
31#10623241C22164yescomplemented
32#10623238C22164yescomplemented
33#10623230C22164yescomplemented
34#10623225C22164yescomplemented
35#10623221C22132yescomplemented
36#10623174C22132yescomplemented
37#10623155C22132yescomplemented
38#10623116C22132yescomplemented
39#10623100C22132yescomplemented
40#10623066C22116yes—
41#10623048C22116yescomplemented
42C2×#66951C2214yes—
43C2×#66951C2214yes—
44C2×#66951C2214yes—
45C2×#66951C2214yes—
46C2×#66950C2214yes—
47C2×#66950C2214yes—
48C2×#66950C2214yes—
49C2×#66949C2214yes—
50C2×#66949C2214yes—
51C2×#66947C2214yes—
52C2×#66947C2214yes—
53C2×#66947C2214yes—
54C2×#66946C2212yes—
55C2×#66946C2212yes—
56C2×#66945C2214yes—
57C2×#66945C2214yes—
58C2×C4⋊C4×D11C2214yes—
59C2×#66943C2212yes—
60C2×#66943C2214yes—
61C2×#66943C2212yes—
62C2×#66941C2212yes—
63C2×#66941C2212yes—
64C2×#66941C2214yes—
65C2×#66939C2214yes—
66C2×#66938C2214yes—
67C2×#66937C2214yes—
68C2×#66936C2214yes—
69C2×(C22⋊D11)⋊C4C2214yes—
70C2×#66931C2212yes—
71C2×#66931C2212yes—
72C2×#66928C2214yes—
73C2×#66927C2211yescharacteristic
74C2×C4×D44C2214yes—
75C2×C4×D44C2212yes—
76C2×#66923C2211yescharacteristic
77C2×#66923C2214yes—
78C2×C4×Dic22C2214yes—
79C2×C4×Dic22C2212yes—
80C2×C4×Dic22C2212yes—
81C22×Q8×C11C2312yes—
82C23×C4×C11C2311yescharacteristic
83C22×C22⋊D11C2314yes—
84C23×Dic11C2312yes—
85C22×D44C2312yes—
86C22×D44C2314yes—
87C22×C4×D11C2314yes—
88C22×C4×D11C2314yes—
89C22×C4×D11C2314yes—
90C22×Dic22C2312yes—
91C22×Dic22C2312yes—
92C22×Dic22C2314yes—
93C11×C4⋊Q8C2318yes—
94C11×#126C23132yes—
95C11×#125C2318yes—
96C11×#125C23132yes—
97C11×C22⋊Q8C23116yes—
98C4×Q8×C11C23116yes—
99C11×#117C2318yes—
100C2×C11×C4⋊C4C2312yes—
101C2×C11×C4⋊C4C2312yes—
102C2×C11×C4⋊C4C2314yes—
103C2×C11×C4⋊C4C2314yes—
104C2×C11×C4⋊C4C2314yes—
105C2×C11×C4⋊C4C2314yes—
106C2×C11×C22⋊C4C2312yes—
107C2×C11×C22⋊C4C2314yes—
108C2×C42×C11C2311yescharacteristic
109C2×C42×C11C2311yescharacteristic
110C2×C42×C11C2314yes—
111C2×C22⋊Dic11C2311yescharacteristic
112C2×C22⋊Dic11C2311yescharacteristic
113#67000C23116yes—
114#67000C23116yes—
115Q8×Dic11C23116yes—
116Q8×Dic11C23116yes—
117#66983C23116yes—
118C2×(C2×D11)⋊C4C2314yes—
119C2×(C2×D11)⋊C4C2314yes—
120C2×(C2×D11)⋊C4C2314yes—
121C2×(C2×D11)⋊C4C2314yes—
122C2×(C2×D11)⋊C4C2314yes—
123C2×(C2×D11)⋊C4C2314yes—
124C2×(C2×D11)⋊C4C2314yes—
125C2×(C2×D11)⋊C4C2314yes—
126#66979C2318yes—
127C2×C4⋊Dic11C2312yes—
128C2×C4⋊Dic11C2312yes—
129C2×C4⋊Dic11C2314yes—
130C2×C4⋊Dic11C2312yes—
131C2×C4⋊Dic11C2314yes—
132C2×C4⋊Dic11C2314yes—
133C2×C4⋊Dic11C2312yes—
134C2×Dic11⋊C4C2312yes—
135C2×Dic11⋊C4C2312yes—
136C2×Dic11⋊C4C2314yes—
137C2×Dic11⋊C4C2312yes—
138C2×Dic11⋊C4C2312yes—
139C2×Dic11⋊C4C2314yes—
140C2×Dic11⋊C4C2314yes—
141C2×C4×Dic11C2312yes—
142C2×C4×Dic11C2312yes—
143C2×C4×Dic11C2314yes—
144C2×C4×Dic11C2314yes—
145C2×C4×Dic11C2311yescharacteristic
146C2×C4×Dic11C2311yescharacteristic
147C2×C4×Dic11C2318yes—
148#66951C23132yes—
149#66951C23132yes—
150#66951C23132yes—
151#66951C23132yes—
152#66950C23132yes—
153#66950C23132yes—
154#66950C23132yes—
155#66949C23132yes—
156#66949C23132yes—
157#66947C23132yes—
158#66947C23132yes—
159#66947C23132yes—
160#66946C23116yes—
161#66946C23116yes—
162#66945C23132yes—
163#66945C23132yes—
164C4⋊C4×D11C23132yes—
165#66943C23132yes—
166#66943C23116yes—
167#66943C23116yes—
168#66941C23132yes—
169#66941C23116yes—
170#66941C23116yes—
171#66939C23132yes—
172#66938C23132yes—
173#66937C23132yes—
174#66936C23132yes—
175(C22⋊D11)⋊C4C23132yes—
176#66931C23116yes—
177#66931C23116yes—
178#66928C23132yes—
179#66927C2318yes—
180C4×D44C23132yes—
181C4×D44C23116yes—
182#66923C23132yes—
183#66923C2318yes—
184C4×Dic22C23132yes—
185C4×Dic22C23116yes—
186C4×Dic22C23116yes—
187C2×#3557—111nomaximal, Sylow
188C24×C11C2411yescharacteristic
189C23×D11C2414yes—
190C2×Q8×C11—28no—
191C2×Q8×C11C2418yes—
192C22×C4×C11—24no—
193C22×C4×C11C2414yes—
194C22×C4×C11C2411yescharacteristic
195C22×C4×C11C2414yes—
196C22×C4×C11C2412yes—
197C22×C4×C11C2412yes—
198C22×C4×C11C2414yes—
199C22×C4×C11C2411yescharacteristic
200C2×C22⋊D11—48no—
201C2×C22⋊D11C24116yes—
202C22×Dic11—44no—
203C22×Dic11C2412yes—
204C22×Dic11C2412yes—
205C22×Dic11C2414yes—
206C22×Dic11C2412yes—
207C22×Dic11C2412yes—
208C22×Dic11C2418yes—
209C2×D44—28no—
210C2×D44—48no—
211C2×D44C2418yes—
212C2×D44C24116yes—
213C2×C4×D11—48no—
214C2×C4×D11—48no—
215C2×C4×D11—48no—
216C2×C4×D11C24116yes—
217C2×C4×D11C24116yes—
218C2×C4×D11C24116yes—
219C2×Dic22—48no—
220C2×Dic22—44no—
221C2×Dic22—44no—
222C2×Dic22C2418yes—
223C2×Dic22C2418yes—
224C2×Dic22C24116yes—
225C11×C4⋊C4C2418yes—
226C11×C4⋊C4C2418yes—
227C11×C4⋊C4C24116yes—
228C11×C4⋊C4C24116yes—
229C11×C4⋊C4C24116yes—
230C11×C4⋊C4C24116yes—
231C11×C22⋊C4C2418yes—
232C11×C22⋊C4C24116yes—
233C42×C11C2414yes—
234C42×C11C2414yes—
235C42×C11C24116yes—
236C22⋊Dic11C2414yes—
237C22⋊Dic11C2414yes—
238(C2×D11)⋊C4C24116yes—
239(C2×D11)⋊C4C24116yes—
240(C2×D11)⋊C4C24116yes—
241(C2×D11)⋊C4C24116yes—
242(C2×D11)⋊C4C24116yes—
243(C2×D11)⋊C4C24116yes—
244(C2×D11)⋊C4C24116yes—
245(C2×D11)⋊C4C24116yes—
246C4⋊Dic11C2418yes—
247C4⋊Dic11C2418yes—
248C4⋊Dic11C24116yes—
249C4⋊Dic11C2418yes—
250C4⋊Dic11C24116yes—
251C4⋊Dic11C24116yes—
252C4⋊Dic11C2418yes—
253Dic11⋊C4C2418yes—
254Dic11⋊C4C2418yes—
255Dic11⋊C4C24116yes—
256Dic11⋊C4C2418yes—
257Dic11⋊C4C2418yes—
258Dic11⋊C4C24116yes—
259Dic11⋊C4C24116yes—
260C4×Dic11C2418yes—
261C4×Dic11C2418yes—
262C4×Dic11C24116yes—
263C4×Dic11C24116yes—
264C4×Dic11C2414yes—
265C4×Dic11C2414yes—
266#3557—1132no—
267C2×#563—114no—
268C2×#559—112no—
269C2×#557—112no—
270C2×#556—112no—
271C2×#554—112no—
272C2×#552—114no—
273C2×#542—114no—
274C2×#542—112no—
275C2×#541D1111yescharacteristic, complemented
276C2×#540—111no—
277C2×#539—114no—
278C2×#533—111no—
279C2×#529—112no—
280C23×C11—22no—
281C23×C11—24no—
282C23×C11C2512yes—
283C23×C11C2511yescharacteristic
284C22×D11—28no—
285C22×D11—28no—
286C22×D11—28no—
287C22×D11C2518yes—
288Q8×C11—216no—
289C2×C4×C11—22no—
290C2×C4×C11—28no—
291C2×C4×C11—28no—
292C2×C4×C11—24no—
293C2×C4×C11—24no—
294C2×C4×C11—28no—
295C2×C4×C112−1+414yes—
296C2×C4×C11C2518yes—
297C2×C4×C11C2512yes—
298C2×C4×C11C2514yes—
299C2×C4×C11C2514yes—
300C2×C4×C11C2518yes—
301C2×C4×C11C2512yes—
302C22⋊D11—416no—
303C2×Dic11—24no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—28no—
307C2×Dic11—24no—
308C2×Dic11—48no—
309C2×Dic11C2514yes—
310C2×Dic11C2514yes—
311C2×Dic11C2518yes—
312C2×Dic11C2514yes—
313C2×Dic11C2514yes—
314D44—216no—
315D44—416no—
316C4×D11—416no—
317C4×D11—416no—
318C4×D11—416no—
319Dic22—48no—
320Dic22—416no—
321Dic22—48no—
322#563—1164no—
323#559—1132no—
324#557—1132no—
325#556—1132no—
326#554—1132no—
327#552—1164no—
328#542—1164no—
329#542—1132no—
330#541C2×D11116yescomplemented
331#540—1116no—
332#539—1164no—
333#533—1116no—
334C2×C4⋊Q8—112no—
335C2×C4⋊Q8—112no—
336C2×C4⋊Q8—114no—
337C2×C4⋊Q8C2×D1111yescharacteristic
338C2×#127—111no—
339#529—1132no—
340C2×#126—114no—
341C2×#126—114no—
342C2×#126—114no—
343C2×#126—114no—
344C2×#126C2×D1114yes—
345C2×#125—112no—
346C2×#125—112no—
347C2×#125—114no—
348C2×#125—114no—
349C2×#125—111no—
350C2×#125C2×D1114yes—
351C2×#125C2×D1111yescharacteristic
352C2×#124—112no—
353C2×#124—112no—
354C2×#124—114no—
355C2×#124—114no—
356C2×#123—114no—
357C2×#123—114no—
358C2×#123—114no—
359C2×#123—114no—
360C2×#123—114no—
361C2×C22⋊Q8—114no—
362C2×C22⋊Q8—114no—
363C2×C22⋊Q8—114no—
364C2×C22⋊Q8—114no—
365C2×C22⋊Q8—114no—
366C2×C22⋊Q8—112no—
367C2×C22⋊Q8—112no—
368C2×C22⋊Q8C2×D1112yes—
369C2×#121—112no—
370C2×#121—114no—
371C2×C4×Q8—112no—
372C2×C4×Q8—112no—
373C2×C4×Q8—112no—
374C2×C4×Q8—112no—
375C2×C4×Q8—114no—
376C2×C4×Q8C2×D1112yes—
377C2×C4×D4—112no—
378C2×C4×D4—112no—
379C2×C4×D4—114no—
380C2×C4×D4—114no—
381C2×C4×D4—112no—
382C2×#117—111no—
383C2×#117—114no—
384C2×#117—114no—
385C2×#117C2×D1111yescharacteristic
386C22×C4⋊C4—114no—
387C22×C42—111no—
388C22×C11—22no—
389C22×C11—24no—
390C22×C11—44no—
391C22×C11C2×2−1+412yes—
392C22×C11#58514yes—
393C22×C11C2611yescharacteristic
394C2×D11—28no—
395C2×D11—28no—
396C2×D11—28no—
397C2×D11—416no—
398C4×C11—22no—
399C4×C11—28no—
400C4×C11—24no—
401C4×C11—28no—
402C4×C11—24no—
403C4×C11C2×2−1+414yes—
404Dic11—24no—
405Dic11—24no—
406Dic11—24no—
407Dic11—28no—
408Dic11—24no—
409C22×Q8—112no—
410C22×Q8—114no—
411C22×Q8—112no—
412C22×Q8C22×D1112yes—
413C22×D4—114no—
414C22×D4—112no—
415C22×D4—114no—
416C23×C4—112no—
417C23×C4—114no—
418C23×C4—114no—
419C23×C4—114no—
420C23×C4C22×D1111yescharacteristic
421C4⋊Q8—1116no—
422C4⋊Q8—1116no—
423C4⋊Q8—1132no—
424C4⋊Q8C22×D1118yes—
425#127—118no—
426#126—1132no—
427#126—1132no—
428#126—1132no—
429#126—1132no—
430#126C22×D11132yes—
431#125—1116no—
432#125—1116no—
433#125—1132no—
434#125—1132no—
435#125—118no—
436#125C22×D11132yes—
437#125C22×D1118yes—
438#124—1116no—
439#124—1116no—
440#124—1132no—
441#124—1132no—
442#123—1132no—
443#123—1132no—
444#123—1132no—
445#123—1132no—
446#123—1132no—
447C22⋊Q8—1132no—
448C22⋊Q8—1132no—
449C22⋊Q8—1132no—
450C22⋊Q8—1132no—
451C22⋊Q8—1132no—
452C22⋊Q8—1116no—
453C22⋊Q8—1116no—
454C22⋊Q8C22×D11116yes—
455#121—1116no—
456#121—1132no—
457C4×Q8—1116no—
458C4×Q8—1116no—
459C4×Q8—1116no—
460C4×Q8—1116no—
461C4×Q8—1132no—
462C4×Q8C22×D11116yes—
463C4×D4—1116no—
464C4×D4—1116no—
465C4×D4—1132no—
466C4×D4—1132no—
467C4×D4—1116no—
468#117—118no—
469#117—1132no—
470#117—1132no—
471#117C22×D1118yes—
472C2×C4⋊C4—112no—
473C2×C4⋊C4—114no—
474C2×C4⋊C4—114no—
475C2×C4⋊C4—112no—
476C2×C4⋊C4—112no—
477C2×C4⋊C4—112no—
478C2×C4⋊C4—112no—
479C2×C4⋊C4—114no—
480C2×C4⋊C4—112no—
481C2×C4⋊C4—114no—
482C2×C4⋊C4—112no—
483C2×C4⋊C4—114no—
484C2×C4⋊C4—112no—
485C2×C4⋊C4—114no—
486C2×C4⋊C4—1132no—
487C2×C4⋊C4C22×D1114yes—
488C2×C4⋊C4C22×D1114yes—
489C2×C4⋊C4C22×D1114yes—
490C2×C4⋊C4C22×D1112yes—
491C2×C4⋊C4C22×D1112yes—
492C2×C4⋊C4C22×D1114yes—
493C2×C22⋊C4—111no—
494C2×C22⋊C4—111no—
495C2×C22⋊C4—114no—
496C2×C22⋊C4—114no—
497C2×C22⋊C4—114no—
498C2×C22⋊C4—114no—
499C2×C22⋊C4—114no—
500C2×C22⋊C4—114no—
501C2×C22⋊C4—114no—
502C2×C22⋊C4—114no—
503C2×C22⋊C4C22×D1112yes—
504C2×C22⋊C4C22×D1114yes—
505C2×C42—111no—
506C2×C42—114no—
507C2×C42—112no—
508C2×C42—114no—
509C2×C42—112no—
510C2×C42—111no—
511C2×C42—118no—
512C2×C42C22×D1111yescharacteristic
513C2×C42C22×D1111yescharacteristic
514C2×C42C22×D1114yes—
515C2×C11—42no—
516C2×C11#355714yescomplemented
517C2×C11C22×2−1+411yescharacteristic
518C2×C11C2×#58512yes—
519D11—48no—
520C24—114no—
521C24C23×D1111yescharacteristic
522C2×Q8—28no—
523C2×Q8—118no—
524C2×Q8—1116no—
525C2×Q8—118no—
526C2×Q8—444no—
527C2×Q8—448no—
528C2×Q8—444no—
529C2×Q8C23×D1118yes—
530C2×D4—1116no—
531C2×D4—118no—
532C2×D4—1116no—
533C2×D4—228no—
534C2×D4—448no—
535C2×D4—448no—
536C22×C4—24no—
537C22×C4—112no—
538C22×C4—112no—
539C22×C4—112no—
540C22×C4—114no—
541C22×C4—112no—
542C22×C4—118no—
543C22×C4—1116no—
544C22×C4—1116no—
545C22×C4—1116no—
546C22×C4—448no—
547C22×C4—448no—
548C22×C4—448no—
549C22×C4—444no—
550C22×C4C23×D1114yes—
551C22×C4C23×D1114yes—
552C22×C4C23×D1111yescharacteristic
553C22×C4C23×D1112yes—
554C22×C4C23×D1112yes—
555C22×C4C23×D1114yes—
556C22×C4C23×D1111yescharacteristic
557C4⋊C4—118no—
558C4⋊C4—1116no—
559C4⋊C4—1116no—
560C4⋊C4—118no—
561C4⋊C4—118no—
562C4⋊C4—118no—
563C4⋊C4—118no—
564C4⋊C4—1116no—
565C4⋊C4—118no—
566C4⋊C4—1116no—
567C4⋊C4—118no—
568C4⋊C4—1116no—
569C4⋊C4—118no—
570C4⋊C4—1116no—
571C4⋊C4C23×D11116yes—
572C4⋊C4C23×D11116yes—
573C4⋊C4C23×D11116yes—
574C4⋊C4C23×D1118yes—
575C4⋊C4C23×D1118yes—
576C4⋊C4C23×D11116yes—
577C22⋊C4—114no—
578C22⋊C4—114no—
579C22⋊C4—1116no—
580C22⋊C4—1116no—
581C22⋊C4—1116no—
582C22⋊C4—1116no—
583C22⋊C4—1116no—
584C22⋊C4—1116no—
585C22⋊C4—1116no—
586C22⋊C4—1116no—
587C22⋊C4C23×D1118yes—
588C22⋊C4C23×D11116yes—
589C42—114no—
590C42—118no—
591C42—114no—
592C42—1116no—
593C42—118no—
594C42—1116no—
595C42C23×D1114yes—
596C42C23×D1114yes—
597C42C23×D11116yes—
598C11C2×#355711yescharacteristic, complemented, Sylow
599C23—22no—
600C23—24no—
601C23—118no—
602C23—228no—
603C23—228no—
604C23—228no—
605C23C24×D1112yes—
606C23C24×D1111yescharacteristic
607Q8—216no—
608Q8—448no—
609Q8—4416no—
610Q8—448no—
611D4—2216no—
612D4—4416no—
613D4—4416no—
614C2×C4—22no—
615C2×C4—28no—
616C2×C4—28no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—28no—
620C2×C4—114no—
621C2×C4—114no—
622C2×C4—114no—
623C2×C4—118no—
624C2×C4—114no—
625C2×C4—224no—
626C2×C4—224no—
627C2×C4—228no—
628C2×C4—224no—
629C2×C4—224no—
630C2×C4—4416no—
631C2×C4—4416no—
632C2×C4—4416no—
633C2×C4—448no—
634C2×C4#6704314yes—
635C2×C4C24×D1118yes—
636C2×C4C24×D1112yes—
637C2×C4C24×D1114yes—
638C2×C4C24×D1114yes—
639C2×C4C24×D1118yes—
640C2×C4C24×D1112yes—
641C22—22no—
642C22—24no—
643C22—44no—
644C22—228no—
645C22—228no—
646C22—228no—
647C22—4416no—
648C22C2×#6704312yes—
649C22#1062345714yes—
650C22C25×D1111yescharacteristic
651C4—22no—
652C4—28no—
653C4—28no—
654C4—24no—
655C4—24no—
656C4—224no—
657C4—224no—
658C4—228no—
659C4—224no—
660C4—224no—
661C4C2×#6704314yes—
662C2—42no—
663C2—448no—
664C2#1308312414yesdirect product factor
665C2C22×#6704311yescharacteristic
666C2C2×#1062345712yes—
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#541C2
socleC23×C11C25
prime radicalC2×#10623066C2
hypercenterC2×#541D11
hypocenterC11C2×#3557
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
1. #13083124C2direct (N × H)
2. C2×#10623230C2semidirect
3. C2×#10623116C2semidirect
4. C2×#10623100C2semidirect
5. C2×#10623263C2semidirect
6. C2×#10623221C2semidirect
7. C2×#10623225C2semidirect
8. C2×#10623174C2semidirect
9. C2×#10623241C2semidirect
11. C2×#10623238C2semidirect
12. C2×#10623048C2semidirect
13. C2×#10623155C2semidirect
14. C2×C11×#541C2semidirect
15. C11×#541C22semidirect
30. #10623263C22semidirect
31. #10623241C22semidirect
32. #10623238C22semidirect
33. #10623230C22semidirect
34. #10623225C22semidirect
35. #10623221C22semidirect
36. #10623174C22semidirect
37. #10623155C22semidirect
38. #10623116C22semidirect
39. #10623100C22semidirect
41. #10623048C22semidirect
275. C2×#541D11semidirect
330. #541C2×D11semidirect
516. C2×C11#3557semidirect
598. C11C2×#3557semidirect
664. C2#13083124direct (N × H)

Maximal subgroups

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

subgroupindex
#130831242
C2×#106232302
C2×#106231162
C2×#106231002
C2×#106232632
C2×#106232212
C2×#106232252
C2×#106231742
C2×#106232412
C2×#106230662
C2×#106232382
C2×#106230482
C2×#106231552
C2×C11×#5412
C2×#355711