Finite Group Databasebeta

← C2×#13082441 #15662251

Subgroups — C2×#13082441 #15662251

Order 2816.

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#13082441C2132yesmaximal, direct product factor
2C2×#10623101C211yesmaximal, characteristic, complemented
3C2×#10623100C211yesmaximal, characteristic, complemented
4C2×#10623100C211yesmaximal, characteristic, complemented
5C2×#10623261C213yesmaximal, complemented
6C2×#10623110C213yesmaximal, complemented
7C2×#10623221C213yesmaximal, complemented
8C2×#10623221C213yesmaximal, complemented
9C2×#10623220C213yesmaximal, complemented
10C2×#10623260C213yesmaximal, complemented
11C2×#10623109C213yesmaximal, complemented
12C2×D11×#125C213yesmaximal, complemented
13C2×#10623105C211yesmaximal, characteristic
14C2×#10623105C211yesmaximal, characteristic
15C2×C4×#4343C211yesmaximal, characteristic
16C2×C11×#557C211yesmaximal, characteristic, complemented
17C22×#4343C2211yescharacteristic
18C11×#557C22116yescomplemented
19C2×C11×C4⋊Q8C2213yes—
20C2×C11×#125C2213yes—
21C2×C11×#125C2213yes—
22C2×C4×Q8×C11C2213yes—
23C2×C4×Q8×C11C2211yescharacteristic
24C2×C4×Q8×C11C2211yescharacteristic
25C2×C4×Q8×C11C2211yescharacteristic
26C2×#66999C2216yes—
27C2×#66999C2213yes—
28C2×Q8×Dic11C2211yescharacteristic
29C2×Q8×Dic11C2211yescharacteristic
30C2×Q8×Dic11C2211yescharacteristic
31C2×#66997C2213yes—
32#10623261C22148yescomplemented
33#10623260C22148yescomplemented
34#10623221C22148yescomplemented
35#10623221C22148yescomplemented
36#10623220C22148yescomplemented
37D11×#125C22148yescomplemented
38#10623110C22148yescomplemented
39#10623109C22148yescomplemented
40#10623105C22116yes—
41#10623105C22116yes—
42C4×#4343C22116yes—
43#10623101C22116yescomplemented
44#10623100C22116yescomplemented
45#10623100C22116yescomplemented
46C2×#66950C2213yes—
47C2×#66950C2216yes—
48C2×#66949C2213yes—
49C2×#66949C2216yes—
50C2×#66949C2216yes—
51C2×#66949C2213yes—
52C2×#66946C2213yes—
53C2×#66946C2213yes—
54C2×#66946C2213yes—
55C2×#66945C2213yes—
56C2×C4⋊C4×D11C2216yes—
57C2×C4⋊C4×D11C2216yes—
58C2×C4⋊C4×D11C2213yes—
59C2×C4⋊C4×D11C2213yes—
60C2×#66943C2213yes—
61C2×#66943C2213yes—
62C2×#66943C2213yes—
63C2×#66943C2213yes—
64C2×#66942C2213yes—
65C2×#66942C2216yes—
66C2×#66942C2211yescharacteristic
67C2×#66941C2213yes—
68C2×#66941C2213yes—
69C2×#66941C2213yes—
70C2×C4×D44C2213yes—
71C2×C4×D44C2213yes—
72C2×C4×D44C2213yes—
73C2×#66925C2213yes—
74C2×#66925C2213yes—
75C2×C42×D11C2213yes—
76C2×#66923C2213yes—
77C2×#66923C2213yes—
78C2×#66922C2213yes—
79C2×C4×Dic22C2213yes—
80C2×C4×Dic22C2213yes—
81C2×C4×Dic22C2213yes—
82C22×Q8×C11C2313yes—
83C22×Q8×C11C2311yescharacteristic
84C2×#4343Q8116yescomplemented
85C2×#4343C2318yes—
86C22×D44C2313yes—
87C22×C4×D11C2313yes—
88C22×C4×D11C2313yes—
89C22×C4×D11C2316yes—
90C22×C4×D11C2316yes—
91C22×C4×D11C2313yes—
92C22×Dic22C2313yes—
93C22×Dic22C2313yes—
94C22×Dic22C2313yes—
95C11×C4⋊Q8C23124yes—
96C11×#125C23124yes—
97C11×#125C23124yes—
98C4×Q8×C11C2318yes—
99C4×Q8×C11C2318yes—
100C4×Q8×C11C2318yes—
101C4×Q8×C11C23124yes—
102C2×C11×C4⋊C4C2313yes—
103C2×C11×C4⋊C4C2313yes—
104C2×C11×C4⋊C4C2313yes—
105C2×C11×C4⋊C4C2313yes—
106C2×C11×C4⋊C4C2316yes—
107C2×C11×C4⋊C4C2311yescharacteristic
108C2×C11×C4⋊C4C2313yes—
109C2×C42×C11C2313yes—
110C2×C42×C11C2313yes—
111C2×C42×C11C2313yes—
112#66999C23148yes—
113#66999C23124yes—
114Q8×Dic11C2318yes—
115Q8×Dic11C2318yes—
116Q8×Dic11C2318yes—
117#66997C23124yes—
118C2×(C2×D11)⋊C4C2313yes—
119C2×(C2×D11)⋊C4C2313yes—
120C2×(C2×D11)⋊C4C2313yes—
121C2×(C2×D11)⋊C4C2313yes—
122C2×(C2×D11)⋊C4C2316yes—
123C2×C4⋊Dic11C2311yescharacteristic
124C2×C4⋊Dic11C2313yes—
125C2×C4⋊Dic11C2313yes—
126C2×C4⋊Dic11C2313yes—
127C2×C4⋊Dic11C2313yes—
128C2×C4⋊Dic11C2316yes—
129C2×C4⋊Dic11C2313yes—
130C2×Dic11⋊C4C2311yescharacteristic
131C2×Dic11⋊C4C2311yescharacteristic
132C2×Dic11⋊C4C2313yes—
133C2×Dic11⋊C4C2313yes—
134C2×Dic11⋊C4C2313yes—
135C2×Dic11⋊C4C2313yes—
136C2×Dic11⋊C4C2316yes—
137C2×Dic11⋊C4C2316yes—
138C2×Dic11⋊C4C2311yescharacteristic
139C2×Dic11⋊C4C2311yescharacteristic
140C2×Dic11⋊C4C2313yes—
141C2×Dic11⋊C4C2313yes—
142C2×C4×Dic11C2313yes—
143C2×C4×Dic11C2313yes—
144C2×C4×Dic11C2313yes—
145C2×C4×Dic11C2311yescharacteristic
146C2×C4×Dic11C2313yes—
147#66950C23148yes—
148#66950C23124yes—
149#66949C23148yes—
150#66949C23124yes—
151#66949C23124yes—
152#66949C23148yes—
153#66946C23124yes—
154#66946C23124yes—
155#66946C23124yes—
156#66945C23124yes—
157C4⋊C4×D11C23124yes—
158C4⋊C4×D11C23148yes—
159C4⋊C4×D11C23124yes—
160C4⋊C4×D11C23148yes—
161#66943C23124yes—
162#66943C23124yes—
163#66943C23124yes—
164#66943C23124yes—
165#66942C23148yes—
166#66942C2318yes—
167#66942C23124yes—
168#66941C23124yes—
169#66941C23124yes—
170#66941C23124yes—
171C4×D44C23124yes—
172C4×D44C23124yes—
173C4×D44C23124yes—
174#66925C23124yes—
175#66925C23124yes—
176C42×D11C23124yes—
177#66923C23124yes—
178#66923C23124yes—
179#66922C23124yes—
180C4×Dic22C23124yes—
181C4×Dic22C23124yes—
182C4×Dic22C23124yes—
183C2×#3504—111nomaximal, Sylow
184C23×D11C2413yes—
185C2×Q8×C11—46no—
186C2×Q8×C11C2×Q818yes—
187C2×Q8×C11C24112yes—
188C2×Q8×C11C2414yes—
189C22×C4×C11C2411yescharacteristic
190C22×C4×C11C2413yes—
191C22×C4×C11C2411yescharacteristic
192C22×C4×C11C2413yes—
193C22×C4×C11C2413yes—
194C22×C4×C11C2411yescharacteristic
195C22×C4×C11C2413yes—
196C22×Dic11C2411yescharacteristic
197C22×Dic11C2411yescharacteristic
198C22×Dic11C2411yescharacteristic
199C22×Dic11C2413yes—
200C22×Dic11C2413yes—
201C22×Dic11C2413yes—
202C22×Dic11C2411yescharacteristic
203#4343C2×Q8164yescomplemented
204C2×D44C2×Q8124yes—
205C2×D44C24112yes—
206C2×C4×D11—412no—
207C2×C4×D11—46no—
208C2×C4×D11—46no—
209C2×C4×D11—412no—
210C2×C4×D11C2×Q8124yes—
211C2×C4×D11C24112yes—
212C2×C4×D11C24112yes—
213C2×C4×D11C24124yes—
214C2×C4×D11C24124yes—
215C2×C4×D11C24112yes—
216C2×Dic22—46no—
217C2×Dic22—46no—
218C2×Dic22—46no—
219C2×Dic22C24112yes—
220C2×Dic22C24112yes—
221C2×Dic22C24112yes—
222C11×C4⋊C4C24112yes—
223C11×C4⋊C4C24112yes—
224C11×C4⋊C4C24112yes—
225C11×C4⋊C4C24112yes—
226C11×C4⋊C4C24124yes—
227C11×C4⋊C4C2414yes—
228C11×C4⋊C4C24112yes—
229C42×C11C24112yes—
230C42×C11C24112yes—
231C42×C11C24112yes—
232(C2×D11)⋊C4C24112yes—
233(C2×D11)⋊C4C24112yes—
234(C2×D11)⋊C4C24112yes—
235(C2×D11)⋊C4C24112yes—
236(C2×D11)⋊C4C24124yes—
237C4⋊Dic11C2414yes—
238C4⋊Dic11C24112yes—
239C4⋊Dic11C24112yes—
240C4⋊Dic11C24112yes—
241C4⋊Dic11C24112yes—
242C4⋊Dic11C24124yes—
243C4⋊Dic11C24112yes—
244Dic11⋊C4C2414yes—
245Dic11⋊C4C2414yes—
246Dic11⋊C4C24112yes—
247Dic11⋊C4C24112yes—
248Dic11⋊C4C24112yes—
249Dic11⋊C4C24112yes—
250Dic11⋊C4C24124yes—
251Dic11⋊C4C24124yes—
252Dic11⋊C4C2414yes—
253Dic11⋊C4C2414yes—
254Dic11⋊C4C24112yes—
255Dic11⋊C4C24112yes—
256C4×Dic11C24112yes—
257C4×Dic11C24112yes—
258C4×Dic11C24112yes—
259C4×Dic11C2414yes—
260C4×Dic11C24112yes—
261#3504—1132no—
262C2×#557—111no—
263C2×#557—111no—
264C2×#557—111no—
265C2×#557D1111yescharacteristic, complemented
266C2×#554—113no—
267C2×#554—113no—
268C2×#554—113no—
269C2×#554—113no—
270C2×#544—113no—
271C2×#544—113no—
272C2×#533—113no—
273C22×#125—113no—
274C2×#520—111no—
275C2×#520—111no—
276C2×C4×#41—111no—
277C23×C11C2511yescharacteristic
278C22×D11—26no—
279C22×D11—26no—
280C22×D11C22×Q8112yes—
281C22×D11C2516yes—
282Q8×C11—412no—
283Q8×C11C22×Q8116yes—
284C2×C4×C11—22no—
285C2×C4×C11—26no—
286C2×C4×C11—26no—
287C2×C4×C11—22no—
288C2×C4×C11—26no—
289C2×C4×C11—22no—
290C2×C4×C11C22×Q8112yes—
291C2×C4×C11C2512yes—
292C2×C4×C11C2516yes—
293C2×C4×C11C2512yes—
294C2×C4×C11C2516yes—
295C2×C4×C11C2516yes—
296C2×C4×C11C2512yes—
297C2×C4×C11C2516yes—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—26no—
301C2×Dic11—26no—
302C2×Dic11—26no—
303C2×Dic11—22no—
304C2×Dic11C22×Q814yes—
305C2×Dic11C2512yes—
306C2×Dic11C2512yes—
307C2×Dic11C2512yes—
308C2×Dic11C2516yes—
309C2×Dic11C2516yes—
310C2×Dic11C2516yes—
311C2×Dic11C2512yes—
312D44C22×Q8148yes—
313C4×D11—412no—
314C4×D11—424no—
315C4×D11—424no—
316C4×D11—412no—
317C4×D11C22×Q8148yes—
318Dic22—412no—
319Dic22—412no—
320Dic22—412no—
321C22×#41—111no—
322#557—1116no—
323#557—1116no—
324#557—1116no—
325#557C2×D11116yescomplemented
326#554—1148no—
327#554—1148no—
328#554—1148no—
329#554—1148no—
330#544—1148no—
331#544—1148no—
332#533—1148no—
333C2×C4⋊Q8—113no—
334C2×C4⋊Q8—113no—
335C2×C4⋊Q8—113no—
336C2×C4⋊Q8—113no—
337C2×C4⋊Q8—113no—
338C2×C4⋊Q8C2×D1113yes—
339C2×#125—1148no—
340C2×#125—113no—
341C2×#125—116no—
342C2×#125—111no—
343C2×#125—113no—
344C2×#125—113no—
345C2×#125—113no—
346C2×#125—113no—
347C2×#125—113no—
348C2×#125—113no—
349C2×#125C2×D1113yes—
350C2×#125C2×D1113yes—
351C2×C22⋊Q8—113no—
352C2×C22⋊Q8—116no—
353C2×C22⋊Q8—113no—
354C2×C22⋊Q8—113no—
355C2×C22⋊Q8—116no—
356C2×C22⋊Q8—116no—
357C2×C22⋊Q8—113no—
358C2×C22⋊Q8—116no—
359#520—1116no—
360#520—1116no—
361C4×#41—1116no—
362C2×C4×Q8—111no—
363C2×C4×Q8—111no—
364C2×C4×Q8—111no—
365C2×C4×Q8—113no—
366C2×C4×Q8—113no—
367C2×C4×Q8—113no—
368C2×C4×Q8C2×D1111yescharacteristic
369C2×C4×Q8C2×D1111yescharacteristic
370C2×C4×Q8C2×D1111yescharacteristic
371C2×C4×Q8C2×D1113yes—
372C2×C4×D4—113no—
373C2×C4×D4—113no—
374C2×C4×D4—113no—
375C2×C4×D4—113no—
376C2×C4×D4—113no—
377C2×C4×D4—113no—
378C2×#117—113no—
379C2×#117—113no—
380C2×#117—113no—
381C22×C4⋊C4—113no—
382C22×C4⋊C4—113no—
383C22×C4⋊C4—116no—
384C22×C4⋊C4—116no—
385C22×C42—113no—
386C22×C11C23×Q812yes—
387C22×C11#58512yes—
388C22×C11#58512yes—
389C22×C11C2611yescharacteristic
390C2×D11—26no—
391C2×D11—26no—
392C2×D11—224no—
393C2×D11C23×Q8112yes—
394C4×C11—22no—
395C4×C11—26no—
396C4×C11—26no—
397C4×C11—22no—
398C4×C11—26no—
399C4×C11—22no—
400C4×C11C23×Q8112yes—
401Dic11—22no—
402Dic11—22no—
403Dic11—26no—
404Dic11—26no—
405Dic11—26no—
406Dic11—22no—
407Dic11C23×Q814yes—
408C2×#41—1116no—
409C2×#41—118no—
410C22×Q8—113no—
411C22×Q8—113no—
412C22×Q8—113no—
413C22×Q8C22×D1113yes—
414C22×Q8C22×D1111yescharacteristic
415C22×D4—113no—
416C23×C4—113no—
417C23×C4—116no—
418C23×C4—116no—
419C23×C4—113no—
420C23×C4—113no—
421C4⋊Q8—1124no—
422C4⋊Q8—1124no—
423C4⋊Q8—1124no—
424C4⋊Q8—1124no—
425C4⋊Q8—1124no—
426C4⋊Q8C22×D11124yes—
427#125—1124no—
428#125—1148no—
429#125—1124no—
430#125—1124no—
431#125—118no—
432#125—1124no—
433#125—1124no—
434#125—1124no—
435#125—1124no—
436#125C22×D11124yes—
437#125C22×D11124yes—
438C22⋊Q8—1124no—
439C22⋊Q8—1148no—
440C22⋊Q8—1124no—
441C22⋊Q8—1124no—
442C22⋊Q8—1124no—
443C22⋊Q8—1148no—
444C22⋊Q8—1148no—
445C22⋊Q8—1148no—
446C4×Q8—118no—
447C4×Q8—118no—
448C4×Q8—118no—
449C4×Q8—1124no—
450C4×Q8—1124no—
451C4×Q8—1124no—
452C4×Q8C22×D1118yes—
453C4×Q8C22×D1118yes—
454C4×Q8C22×D1118yes—
455C4×Q8C22×D11124yes—
456C4×D4—1124no—
457C4×D4—1124no—
458C4×D4—1124no—
459C4×D4—1124no—
460C4×D4—1124no—
461C4×D4—1124no—
462#117—1124no—
463#117—1124no—
464#117—1124no—
465C2×C4⋊C4—113no—
466C2×C4⋊C4—113no—
467C2×C4⋊C4—113no—
468C2×C4⋊C4—113no—
469C2×C4⋊C4—113no—
470C2×C4⋊C4—113no—
471C2×C4⋊C4—113no—
472C2×C4⋊C4—116no—
473C2×C4⋊C4—116no—
474C2×C4⋊C4—116no—
475C2×C4⋊C4—111no—
476C2×C4⋊C4—111no—
477C2×C4⋊C4—113no—
478C2×C4⋊C4—111no—
479C2×C4⋊C4—111no—
480C2×C4⋊C4—111no—
481C2×C4⋊C4—113no—
482C2×C4⋊C4—113no—
483C2×C4⋊C4—113no—
484C2×C4⋊C4—1124no—
485C2×C4⋊C4—1124no—
486C2×C4⋊C4—1148no—
487C2×C4⋊C4—1148no—
488C2×C4⋊C4C22×D1113yes—
489C2×C4⋊C4C22×D1113yes—
490C2×C4⋊C4C22×D1113yes—
491C2×C4⋊C4C22×D1116yes—
492C2×C4⋊C4C22×D1113yes—
493C2×C4⋊C4C22×D1111yescharacteristic
494C2×C4⋊C4C22×D1113yes—
495C2×C22⋊C4—113no—
496C2×C22⋊C4—113no—
497C2×C22⋊C4—116no—
498C2×C22⋊C4—113no—
499C2×C22⋊C4—113no—
500C2×C42—113no—
501C2×C42—113no—
502C2×C42—113no—
503C2×C42—113no—
504C2×C42—111no—
505C2×C42—1124no—
506C2×C42C22×D1113yes—
507C2×C42C22×D1113yes—
508C2×C42C22×D1113yes—
509C2×C11#350414yescomplemented
510C2×C11C24×Q811yescharacteristic
511C2×C11C2×#58511yescharacteristic
512C2×C11C2×#58511yescharacteristic
513D11—212no—
514C24—113no—
515#41—1164no—
516C2×Q8—46no—
517C2×Q8—1112no—
518C2×Q8—1112no—
519C2×Q8—1112no—
520C2×Q8—446no—
521C2×Q8—446no—
522C2×Q8—446no—
523C2×Q8Q8×D1118yes—
524C2×Q8C23×D11112yes—
525C2×Q8C23×D1114yes—
526C2×D4—1124no—
527C2×D4—1112no—
528C22×C4—111no—
529C22×C4—1124no—
530C22×C4—1112no—
531C22×C4—111no—
532C22×C4—111no—
533C22×C4—111no—
534C22×C4—113no—
535C22×C4—113no—
536C22×C4—113no—
537C22×C4—1112no—
538C22×C4—1112no—
539C22×C4—1124no—
540C22×C4—1124no—
541C22×C4—4412no—
542C22×C4—446no—
543C22×C4—446no—
544C22×C4—4412no—
545C22×C4C23×D1111yescharacteristic
546C22×C4C23×D1113yes—
547C22×C4C23×D1111yescharacteristic
548C22×C4C23×D1111yescharacteristic
549C22×C4C23×D1113yes—
550C22×C4C23×D1113yes—
551C22×C4C23×D1113yes—
552C4⋊C4—1112no—
553C4⋊C4—1112no—
554C4⋊C4—1112no—
555C4⋊C4—1112no—
556C4⋊C4—1112no—
557C4⋊C4—1112no—
558C4⋊C4—1112no—
559C4⋊C4—1124no—
560C4⋊C4—1124no—
561C4⋊C4—1124no—
562C4⋊C4—114no—
563C4⋊C4—114no—
564C4⋊C4—1112no—
565C4⋊C4—114no—
566C4⋊C4—114no—
567C4⋊C4—114no—
568C4⋊C4—1112no—
569C4⋊C4—1112no—
570C4⋊C4—1112no—
571C4⋊C4C23×D11112yes—
572C4⋊C4C23×D11112yes—
573C4⋊C4C23×D11112yes—
574C4⋊C4C23×D11124yes—
575C4⋊C4C23×D11112yes—
576C4⋊C4C23×D1114yes—
577C4⋊C4C23×D11112yes—
578C22⋊C4—1112no—
579C22⋊C4—1112no—
580C22⋊C4—1124no—
581C22⋊C4—1112no—
582C22⋊C4—1112no—
583C42—114no—
584C42—1112no—
585C42—1112no—
586C42—1112no—
587C42—1112no—
588C42C23×D11112yes—
589C42C23×D11112yes—
590C42C23×D11112yes—
591C11C2×#350411yescharacteristic, complemented, Sylow
592C23—1112no—
593C23—116no—
594C23—226no—
595C23—226no—
596C23C24×D1111yescharacteristic
597Q8—412no—
598Q8—4412no—
599Q8—4412no—
600Q8—4412no—
601Q8C2×Q8×D11116yes—
602D4—1148no—
603C2×C4—26no—
604C2×C4—26no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—26no—
608C2×C4—22no—
609C2×C4—114no—
610C2×C4—112no—
611C2×C4—1148no—
612C2×C4—112no—
613C2×C4—112no—
614C2×C4—112no—
615C2×C4—116no—
616C2×C4—116no—
617C2×C4—116no—
618C2×C4—222no—
619C2×C4—226no—
620C2×C4—222no—
621C2×C4—226no—
622C2×C4—226no—
623C2×C4—222no—
624C2×C4—4424no—
625C2×C4—4412no—
626C2×C4—4412no—
627C2×C4—4424no—
628C2×C4C2×Q8×D11112yes—
629C2×C4C24×D1112yes—
630C2×C4C24×D1116yes—
631C2×C4C24×D1112yes—
632C2×C4C24×D1112yes—
633C2×C4C24×D1116yes—
634C2×C4C24×D1116yes—
635C2×C4C24×D1116yes—
636C22—1112no—
637C22—226no—
638C22—226no—
639C22—2224no—
640C22C22×Q8×D1112yes—
641C22#1062345312yes—
642C22#1062345712yes—
643C22C25×D1111yescharacteristic
644C4—26no—
645C4—26no—
646C4—22no—
647C4—22no—
648C4—26no—
649C4—22no—
650C4—114no—
651C4—222no—
652C4—226no—
653C4—222no—
654C4—226no—
655C4—226no—
656C4—222no—
657C4C22×Q8×D11112yes—
658C2—2212no—
659C2#1308244114yesdirect product factor
660C2C23×Q8×D1111yescharacteristic
661C2C2×#1062345311yescharacteristic
662C2C2×#1062345711yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#557C2
socleC23×C11C25
prime radicalC22×#4343C22
hypercenterC2×#557D11
hypocenterC11C2×#3504
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
1. #13082441C2direct (N × H)
2. C2×#10623101C2semidirect
3. C2×#10623100C2semidirect
4. C2×#10623100C2semidirect
5. C2×#10623261C2semidirect
6. C2×#10623110C2semidirect
7. C2×#10623221C2semidirect
8. C2×#10623221C2semidirect
9. C2×#10623220C2semidirect
10. C2×#10623260C2semidirect
11. C2×#10623109C2semidirect
12. C2×D11×#125C2semidirect
16. C2×C11×#557C2semidirect
18. C11×#557C22semidirect
32. #10623261C22semidirect
33. #10623260C22semidirect
34. #10623221C22semidirect
35. #10623221C22semidirect
36. #10623220C22semidirect
37. D11×#125C22semidirect
38. #10623110C22semidirect
39. #10623109C22semidirect
43. #10623101C22semidirect
44. #10623100C22semidirect
45. #10623100C22semidirect
84. C2×#4343Q8semidirect
203. #4343C2×Q8semidirect
265. C2×#557D11semidirect
325. #557C2×D11semidirect
509. C2×C11#3504semidirect
591. C11C2×#3504semidirect
659. C2#13082441direct (N × H)

Maximal subgroups

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

subgroupindex
#130824412
C2×#106231012
C2×#106231002
C2×#106232612
C2×#106231102
C2×#106232212
C2×#106232202
C2×#106232602
C2×#106231092
C2×D11×#1252
C2×#106231052
C2×C4×#43432
C2×C11×#5572
C2×#350411