Finite Group Databasebeta

← C2×#13083122 #15661226

Subgroups — C2×#13083122 #15661226

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#13083122C2132yesmaximal, direct product factor
2C2×#10623266C214yesmaximal, complemented
3C2×#10623116C212yesmaximal, complemented
4C2×#10623098C212yesmaximal, complemented
5C2×#10623115C212yesmaximal, complemented
6C2×#10623110C212yesmaximal, complemented
7C2×#10623224C214yesmaximal, complemented
8C2×#10623065C212yesmaximal, complemented
9C2×#10623171C214yesmaximal, complemented
10C2×#10623049C211yesmaximal, characteristic, complemented
11C2×#10623066C211yesmaximal, characteristic
12C2×#10623169C214yesmaximal, complemented
13C2×#10623010C212yesmaximal, complemented
14C2×C11×#533C211yesmaximal, characteristic, complemented
15C11×#533C22116yescomplemented
16C2×C11×C4⋊Q8C2212yes—
17C2×C11×#125C2212yes—
18C2×C11×C22⋊Q8C2212yes—
19C2×C11×C22⋊Q8C2212yes—
20C2×C4×Q8×C11C2212yes—
21C2×C4×Q8×C11C2212yes—
22C2×C11×#117C2211yescharacteristic
23C2×C11×#117C2211yescharacteristic
24C22×C42×C11C2211yescharacteristic
25C2×#67000C2214yes—
26C2×#66999C2214yes—
27C2×#66999C2214yes—
28C2×#66997C2214yes—
29C2×#66983C2212yes—
30C2×#66982C2214yes—
31C2×C4×C22⋊D11C2214yes—
32C2×#66977C2212yes—
33#10623266C22164yescomplemented
34#10623224C22164yescomplemented
35#10623171C22164yescomplemented
36#10623169C22164yescomplemented
37#10623116C22132yescomplemented
38#10623115C22132yescomplemented
39#10623110C22132yescomplemented
40#10623098C22132yescomplemented
41#10623066C22116yes—
42#10623065C22132yescomplemented
43#10623049C22116yescomplemented
44C2×#66951C2214yes—
45C2×#66951C2214yes—
46C2×#66951C2214yes—
47C2×#66949C2214yes—
48C2×#66949C2214yes—
49C2×#66949C2214yes—
50C2×#66947C2214yes—
51C2×#66947C2214yes—
52C2×#66947C2214yes—
53C2×#66946C2214yes—
54C2×#66945C2214yes—
55C2×C4⋊C4×D11C2214yes—
56C2×#66942C2214yes—
57C2×#66942C2214yes—
58C2×#66942C2214yes—
59C2×#66940C2214yes—
60C2×#66938C2214yes—
61C2×#66937C2214yes—
62C2×#66936C2214yes—
63C2×#66932C2214yes—
64#10623010C22132yescomplemented
65C2×#66929C2214yes—
66C2×#66928C2212yes—
67C2×#66928C2212yes—
68C2×#66927C2211yescharacteristic
69C2×C4×D44C2212yes—
70C2×C4×D44C2212yes—
71C2×C4×D44C2212yes—
72C2×#66925C2214yes—
73C2×#66923C2212yes—
74C2×#66923C2211yescharacteristic
75C2×#66923C2211yescharacteristic
76C2×#66922C2212yes—
77C2×#66922C2211yescharacteristic
78C2×C4×Dic22C2212yes—
79C2×C4×Dic22C2212yes—
80C2×C4×Dic22C2212yes—
81C22×Q8×C11C2312yes—
82C22×Q8×C11C2312yes—
83C23×C4×C11C2311yescharacteristic
84C23×C4×C11C2312yes—
85C22×C22⋊D11C2314yes—
86C22×D44C2312yes—
87C22×D44C2314yes—
88C22×C4×D11C2314yes—
89C22×C4×D11C2314yes—
90C22×C4×D11C2314yes—
91C22×Dic22C2312yes—
92C22×Dic22C2314yes—
93C11×C4⋊Q8C23116yes—
94C11×#125C23116yes—
95C11×C22⋊Q8C23116yes—
96C11×C22⋊Q8C23116yes—
97C4×Q8×C11C23116yes—
98C4×Q8×C11C23116yes—
99C11×#117C2318yes—
100C11×#117C2318yes—
101C2×C11×C4⋊C4C2312yes—
102C2×C11×C4⋊C4C2312yes—
103C2×C11×C4⋊C4C2312yes—
104C2×C11×C4⋊C4C2312yes—
105C2×C11×C4⋊C4C2312yes—
106C2×C11×C4⋊C4C2312yes—
107C2×C11×C4⋊C4C2312yes—
108C2×C11×C4⋊C4C2312yes—
109C2×C11×C22⋊C4C2312yes—
110C2×C11×C22⋊C4C2311yescharacteristic
111C2×C11×C22⋊C4C2311yescharacteristic
112C2×C42×C11C2311yescharacteristic
113C2×C42×C11C2312yes—
114C2×C42×C11C2312yes—
115C2×C42×C11C2311yescharacteristic
116C2×C42×C11C2311yescharacteristic
117C2×C42×C11C2311yescharacteristic
118C2×C42×C11C2318yes—
119C2×C22⋊Dic11C2314yes—
120#67000C23132yes—
121#66999C23132yes—
122#66999C23132yes—
123#66997C23132yes—
124#66983C23116yes—
125#66982C23132yes—
126C4×C22⋊D11C23132yes—
127C2×(C2×D11)⋊C4C2314yes—
128C2×(C2×D11)⋊C4C2314yes—
129C2×(C2×D11)⋊C4C2314yes—
130C2×(C2×D11)⋊C4C2314yes—
131C2×(C2×D11)⋊C4C2314yes—
132C2×(C2×D11)⋊C4C2314yes—
133C2×(C2×D11)⋊C4C2314yes—
134C2×(C2×D11)⋊C4C2314yes—
135C2×C4⋊Dic11C2312yes—
136C2×C4⋊Dic11C2312yes—
137C2×C4⋊Dic11C2314yes—
138C2×C4⋊Dic11C2314yes—
139#66977C23116yes—
140C2×Dic11⋊C4C2314yes—
141C2×Dic11⋊C4C2314yes—
142C2×Dic11⋊C4C2314yes—
143C2×Dic11⋊C4C2314yes—
144C2×Dic11⋊C4C2314yes—
145C2×Dic11⋊C4C2314yes—
146C2×Dic11⋊C4C2314yes—
147C2×Dic11⋊C4C2314yes—
148C2×C4×Dic11C2314yes—
149C2×C4×Dic11C2314yes—
150C2×C4×Dic11C2314yes—
151#66951C23132yes—
152#66951C23132yes—
153#66951C23132yes—
154#66949C23132yes—
155#66949C23132yes—
156#66949C23132yes—
157#66947C23132yes—
158#66947C23132yes—
159#66947C23132yes—
160#66946C23132yes—
161#66945C23132yes—
162C4⋊C4×D11C23132yes—
163#66942C23132yes—
164#66942C23132yes—
165#66942C23132yes—
166#66940C23132yes—
167#66938C23132yes—
168#66937C23132yes—
169#66936C23132yes—
170#66932C23132yes—
171#66929C23132yes—
172#66928C23116yes—
173#66928C23116yes—
174#66927C2318yes—
175C4×D44C23116yes—
176C4×D44C23116yes—
177C4×D44C23116yes—
178#66925C23132yes—
179#66923C23116yes—
180#66923C2318yes—
181#66923C2318yes—
182#66922C2318yes—
183#66922C23116yes—
184C4×Dic22C23116yes—
185C4×Dic22C23116yes—
186C4×Dic22C23116yes—
187C2×#3557—111nomaximal, Sylow
188C24×C11C2411yescharacteristic
189C23×D11C2414yes—
190C2×Q8×C11—44no—
191C2×Q8×C11—44no—
192C2×Q8×C11C2418yes—
193C2×Q8×C11C2418yes—
194C22×C4×C11—24no—
195C22×C4×C11—44no—
196C22×C4×C11C2412yes—
197C22×C4×C11C2412yes—
198C22×C4×C11C2412yes—
199C22×C4×C11C2411yescharacteristic
200C22×C4×C11C2412yes—
201C22×C4×C11C2412yes—
202C22×C4×C11C2412yes—
203C22×C4×C11C2414yes—
204C22×C4×C11C2418yes—
205C22×C4×C11C2411yescharacteristic
206C2×C22⋊D11—48no—
207C2×C22⋊D11C24116yes—
208C22×Dic11C2414yes—
209C22×Dic11C2414yes—
210C22×Dic11C2414yes—
211C2×D44—28no—
212C2×D44—48no—
213C2×D44C2418yes—
214C2×D44C24116yes—
215C2×C4×D11—48no—
216C2×C4×D11—48no—
217C2×C4×D11—48no—
218C2×C4×D11C24116yes—
219C2×C4×D11C24116yes—
220C2×C4×D11C24116yes—
221C2×Dic22—28no—
222C2×Dic22—48no—
223C2×Dic22C2418yes—
224C2×Dic22C24116yes—
225C11×C4⋊C4C2418yes—
226C11×C4⋊C4C2418yes—
227C11×C4⋊C4C2418yes—
228C11×C4⋊C4C2418yes—
229C11×C4⋊C4C2418yes—
230C11×C4⋊C4C2418yes—
231C11×C4⋊C4C2418yes—
232C11×C4⋊C4C2418yes—
233C11×C22⋊C4C2418yes—
234C11×C22⋊C4C2414yes—
235C11×C22⋊C4C2414yes—
236C42×C11C2414yes—
237C42×C11C2418yes—
238C42×C11C2418yes—
239C42×C11C2414yes—
240C42×C11C2414yes—
241C42×C11C2414yes—
242C22⋊Dic11C24116yes—
243(C2×D11)⋊C4C24116yes—
244(C2×D11)⋊C4C24116yes—
245(C2×D11)⋊C4C24116yes—
246(C2×D11)⋊C4C24116yes—
247(C2×D11)⋊C4C24116yes—
248(C2×D11)⋊C4C24116yes—
249(C2×D11)⋊C4C24116yes—
250(C2×D11)⋊C4C24116yes—
251C4⋊Dic11C2418yes—
252C4⋊Dic11C2418yes—
253C4⋊Dic11C24116yes—
254C4⋊Dic11C24116yes—
255Dic11⋊C4C24116yes—
256Dic11⋊C4C24116yes—
257Dic11⋊C4C24116yes—
258Dic11⋊C4C24116yes—
259Dic11⋊C4C24116yes—
260Dic11⋊C4C24116yes—
261Dic11⋊C4C24116yes—
262Dic11⋊C4C24116yes—
263C4×Dic11C24116yes—
264C4×Dic11C24116yes—
265C4×Dic11C24116yes—
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×#541—111no—
276C2×#540—111no—
277C2×#539—114no—
278C2×#533D1111yescharacteristic, complemented
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—48no—
289Q8×C11—48no—
290C2×C4×C11—22no—
291C2×C4×C11—24no—
292C2×C4×C11—24no—
293C2×C4×C11—24no—
294C2×C4×C11—24no—
295C2×C4×C11—24no—
296C2×C4×C11—24no—
297C2×C4×C11—28no—
298C2×C4×C11—48no—
299C2×C4×C112−1+414yes—
300C2×C4×C11C2514yes—
301C2×C4×C11C2514yes—
302C2×C4×C11C2514yes—
303C2×C4×C11C2512yes—
304C2×C4×C11C2514yes—
305C2×C4×C11C2514yes—
306C2×C4×C11C2514yes—
307C2×C4×C11C2512yes—
308C22⋊D11—416no—
309C2×Dic11—28no—
310C2×Dic11—28no—
311C2×Dic11—28no—
312C2×Dic11C2518yes—
313C2×Dic11C2518yes—
314C2×Dic11C2518yes—
315D44—216no—
316D44—416no—
317C4×D11—416no—
318C4×D11—416no—
319C4×D11—416no—
320Dic22—216no—
321Dic22—416no—
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#541—1116no—
331#540—1116no—
332#539—1164no—
333#533C2×D11116yescomplemented
334C2×C4⋊Q8—114no—
335C2×C4⋊Q8—111no—
336C2×C4⋊Q8—112no—
337C2×C4⋊Q8C2×D1112yes—
338C2×#127—111no—
339#529—1132no—
340C2×#126—114no—
341C2×#126—114no—
342C2×#126—114no—
343C2×#126—114no—
344C2×#126—114no—
345C2×#125—114no—
346C2×#125—114no—
347C2×#125—114no—
348C2×#125—112no—
349C2×#125—111no—
350C2×#125—111no—
351C2×#125C2×D1112yes—
352C2×#124—114no—
353C2×#124—114no—
354C2×#124—112no—
355C2×#124—112no—
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—112no—
364C2×C22⋊Q8—114no—
365C2×C22⋊Q8—114no—
366C2×C22⋊Q8—114no—
367C2×C22⋊Q8C2×D1112yes—
368C2×C22⋊Q8C2×D1112yes—
369C2×#121—112no—
370C2×#121—114no—
371C2×C4×Q8—114no—
372C2×C4×Q8—112no—
373C2×C4×Q8—112no—
374C2×C4×Q8—112no—
375C2×C4×Q8C2×D1112yes—
376C2×C4×Q8C2×D1112yes—
377C2×C4×D4—114no—
378C2×C4×D4—114no—
379C2×C4×D4—112no—
380C2×C4×D4—112no—
381C2×C4×D4—112no—
382C2×#117—114no—
383C2×#117—114no—
384C2×#117C2×D1111yescharacteristic
385C2×#117C2×D1111yescharacteristic
386C22×C4⋊C4—114no—
387C22×C42C2×D1111yescharacteristic
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—24no—
400C4×C11—24no—
401C4×C11—24no—
402C4×C11—24no—
403C4×C11—24no—
404C4×C11—24no—
405C4×C11C2×2−1+414yes—
406Dic11—28no—
407Dic11—28no—
408Dic11—28no—
409C22×Q8—112no—
410C22×Q8—114no—
411C22×Q8C22×D1112yes—
412C22×Q8C22×D1112yes—
413C22×D4—114no—
414C22×D4—112no—
415C22×D4—114no—
416C23×C4—114no—
417C23×C4—114no—
418C23×C4—114no—
419C23×C4C22×D1111yescharacteristic
420C23×C4C22×D1112yes—
421C4⋊Q8—1132no—
422C4⋊Q8—118no—
423C4⋊Q8—1116no—
424C4⋊Q8C22×D11116yes—
425#127—118no—
426#126—1132no—
427#126—1132no—
428#126—1132no—
429#126—1132no—
430#126—1132no—
431#125—1132no—
432#125—1132no—
433#125—1132no—
434#125—1116no—
435#125—118no—
436#125—118no—
437#125C22×D11116yes—
438#124—1132no—
439#124—1132no—
440#124—1116no—
441#124—1116no—
442#123—1132no—
443#123—1132no—
444#123—1132no—
445#123—1132no—
446#123—1132no—
447C22⋊Q8—1132no—
448C22⋊Q8—1132no—
449C22⋊Q8—1116no—
450C22⋊Q8—1132no—
451C22⋊Q8—1132no—
452C22⋊Q8—1132no—
453C22⋊Q8C22×D11116yes—
454C22⋊Q8C22×D11116yes—
455#121—1116no—
456#121—1132no—
457C4×Q8—1132no—
458C4×Q8—1116no—
459C4×Q8—1116no—
460C4×Q8—1116no—
461C4×Q8C22×D11116yes—
462C4×Q8C22×D11116yes—
463C4×D4—1132no—
464C4×D4—1132no—
465C4×D4—1116no—
466C4×D4—1116no—
467C4×D4—1116no—
468#117—1132no—
469#117—1132no—
470#117C22×D1118yes—
471#117C22×D1118yes—
472C2×C4⋊C4—114no—
473C2×C4⋊C4—114no—
474C2×C4⋊C4—114no—
475C2×C4⋊C4—114no—
476C2×C4⋊C4—114no—
477C2×C4⋊C4—112no—
478C2×C4⋊C4—112no—
479C2×C4⋊C4—114no—
480C2×C4⋊C4—114no—
481C2×C4⋊C4—114no—
482C2×C4⋊C4—114no—
483C2×C4⋊C4—114no—
484C2×C4⋊C4—1132no—
485C2×C4⋊C4C22×D1112yes—
486C2×C4⋊C4C22×D1112yes—
487C2×C4⋊C4C22×D1112yes—
488C2×C4⋊C4C22×D1112yes—
489C2×C4⋊C4C22×D1112yes—
490C2×C4⋊C4C22×D1112yes—
491C2×C4⋊C4C22×D1112yes—
492C2×C4⋊C4C22×D1112yes—
493C2×C22⋊C4—114no—
494C2×C22⋊C4—114no—
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⋊C4C22×D1112yes—
503C2×C22⋊C4C22×D1111yescharacteristic
504C2×C22⋊C4C22×D1111yescharacteristic
505C2×C42—114no—
506C2×C42—114no—
507C2×C42—114no—
508C2×C42C22×D1111yescharacteristic
509C2×C42C22×D1111yescharacteristic
510C2×C42C22×D1112yes—
511C2×C42C22×D1111yescharacteristic
512C2×C42C22×D1112yes—
513C2×C42C22×D1111yescharacteristic
514C2×C42C22×D1118yes—
515C2×C11—42no—
516C2×C11#355714yescomplemented
517C2×C11C22×2−1+411yescharacteristic
518C2×C11C2×#58512yes—
519D11—48no—
520C24—114no—
521C24C23×D1111yescharacteristic
522C2×Q8—44no—
523C2×Q8—44no—
524C2×Q8—118no—
525C2×Q8—1116no—
526C2×Q8—228no—
527C2×Q8—448no—
528C2×Q8C23×D1118yes—
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—44no—
538C22×C4—114no—
539C22×C4—114no—
540C22×C4—114no—
541C22×C4—1116no—
542C22×C4—1116no—
543C22×C4—1116no—
544C22×C4—448no—
545C22×C4—448no—
546C22×C4—448no—
547C22×C4C23×D1114yes—
548C22×C4C23×D1112yes—
549C22×C4C23×D1112yes—
550C22×C4C23×D1112yes—
551C22×C4C23×D1111yescharacteristic
552C22×C4C23×D1112yes—
553C22×C4C23×D1112yes—
554C22×C4C23×D1112yes—
555C22×C4C23×D1118yes—
556C22×C4C23×D1111yescharacteristic
557C4⋊C4—1116no—
558C4⋊C4—1116no—
559C4⋊C4—1116no—
560C4⋊C4—1116no—
561C4⋊C4—1116no—
562C4⋊C4—118no—
563C4⋊C4—118no—
564C4⋊C4—1116no—
565C4⋊C4—1116no—
566C4⋊C4—1116no—
567C4⋊C4—1116no—
568C4⋊C4—1116no—
569C4⋊C4C23×D1118yes—
570C4⋊C4C23×D1118yes—
571C4⋊C4C23×D1118yes—
572C4⋊C4C23×D1118yes—
573C4⋊C4C23×D1118yes—
574C4⋊C4C23×D1118yes—
575C4⋊C4C23×D1118yes—
576C4⋊C4C23×D1118yes—
577C22⋊C4—1116no—
578C22⋊C4—1116no—
579C22⋊C4—1116no—
580C22⋊C4—1116no—
581C22⋊C4—1116no—
582C22⋊C4—1116no—
583C22⋊C4—1116no—
584C22⋊C4—1116no—
585C22⋊C4—1116no—
586C22⋊C4C23×D1118yes—
587C22⋊C4C23×D1114yes—
588C22⋊C4C23×D1114yes—
589C42—1116no—
590C42—1116no—
591C42—1116no—
592C42C23×D1114yes—
593C42C23×D1118yes—
594C42C23×D1114yes—
595C42C23×D1114yes—
596C42C23×D1118yes—
597C42C23×D1114yes—
598C11C2×#355711yescharacteristic, complemented, Sylow
599C23—22no—
600C23—24no—
601C23—118no—
602C23—228no—
603C23—228no—
604C23—228no—
605C23C24×D1112yes—
606C23C24×D1111yescharacteristic
607Q8—48no—
608Q8—48no—
609Q8—2216no—
610Q8—4416no—
611D4—2216no—
612D4—4416no—
613D4—4416no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—28no—
622C2×C4—48no—
623C2×C4—118no—
624C2×C4—118no—
625C2×C4—118no—
626C2×C4—228no—
627C2×C4—228no—
628C2×C4—228no—
629C2×C4—4416no—
630C2×C4—4416no—
631C2×C4—4416no—
632C2×C4#6704014yes—
633C2×C4C24×D1114yes—
634C2×C4C24×D1114yes—
635C2×C4C24×D1114yes—
636C2×C4C24×D1112yes—
637C2×C4C24×D1114yes—
638C2×C4C24×D1114yes—
639C2×C4C24×D1114yes—
640C2×C4C24×D1112yes—
641C22—22no—
642C22—24no—
643C22—44no—
644C22—228no—
645C22—228no—
646C22—228no—
647C22—4416no—
648C22C2×#6704012yes—
649C22#1062345314yes—
650C22C25×D1111yescharacteristic
651C4—22no—
652C4—24no—
653C4—24no—
654C4—24no—
655C4—24no—
656C4—24no—
657C4—24no—
658C4—228no—
659C4—228no—
660C4—228no—
661C4C2×#6704014yes—
662C2—42no—
663C2—448no—
664C2#1308312214yesdirect product factor
665C2C22×#6704011yescharacteristic
666C2C2×#1062345312yes—
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#533C2
socleC23×C11C25
prime radicalC2×#10623066C2
hypercenterC2×#533D11
hypocenterC11C2×#3557
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#533

Complements

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

NH ≅ G/Ntype
1. #13083122C2direct (N × H)
2. C2×#10623266C2semidirect
3. C2×#10623116C2semidirect
4. C2×#10623098C2semidirect
5. C2×#10623115C2semidirect
6. C2×#10623110C2semidirect
7. C2×#10623224C2semidirect
8. C2×#10623065C2semidirect
9. C2×#10623171C2semidirect
10. C2×#10623049C2semidirect
12. C2×#10623169C2semidirect
13. C2×#10623010C2semidirect
14. C2×C11×#533C2semidirect
15. C11×#533C22semidirect
33. #10623266C22semidirect
34. #10623224C22semidirect
35. #10623171C22semidirect
36. #10623169C22semidirect
37. #10623116C22semidirect
38. #10623115C22semidirect
39. #10623110C22semidirect
40. #10623098C22semidirect
42. #10623065C22semidirect
43. #10623049C22semidirect
64. #10623010C22semidirect
278. C2×#533D11semidirect
333. #533C2×D11semidirect
516. C2×C11#3557semidirect
598. C11C2×#3557semidirect
664. C2#13083122direct (N × H)

Maximal subgroups

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

subgroupindex
#130831222
C2×#106232662
C2×#106231162
C2×#106230982
C2×#106231152
C2×#106231102
C2×#106232242
C2×#106230652
C2×#106231712
C2×#106230492
C2×#106230662
C2×#106231692
C2×#106230102
C2×C11×#5332
C2×#355711