Finite Group Databasebeta

← C2×#13081445 #15633540

Subgroups — C2×#13081445 #15633540

Order 2816.

1886 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623115C211yesmaximal, characteristic, complemented
2C2×#10623110C211yesmaximal, characteristic, complemented
3#13081445C2116yesmaximal, direct product factor
4C2×#10622316C211yesmaximal, characteristic, complemented
5C2×#10622327C211yesmaximal, characteristic, complemented
6C2×#10622310C211yesmaximal, characteristic, complemented
7C2×#10622442C211yesmaximal, characteristic, complemented
8C2×#10622464C211yesmaximal, characteristic, complemented
9C2×#10622460C211yesmaximal, characteristic, complemented
10C2×#10622457C211yesmaximal, characteristic
11C2×#10622457C211yesmaximal, characteristic
12C2×#10622454C211yesmaximal, characteristic, complemented
13C2×#10622324C211yesmaximal, characteristic
14C2×#10622323C211yesmaximal, characteristic, complemented
15C2×C4×#4314C211yesmaximal, characteristic, complemented
16C2×C11×#446C211yesmaximal, characteristic, complemented
17C2×C4×Q8×C11C2211yescharacteristic
18C2×#66999—21no—
19C2×#66999—21no—
20C22×D88C2211yescharacteristic
21C22×#4314C2211yescharacteristic
22C22×#4314C2211yescharacteristic
23#10623115—24no—
24#10623115C2218yescomplemented
25#10623110—24no—
26#10623110C2218yescomplemented
27C2×#66951—21no—
28C2×#66951—21no—
29C2×#66949—21no—
30C2×#66949—21no—
31C2×#66945—21no—
32C2×C4⋊C4×D11—21no—
33C2×#66928C2211yescharacteristic
34C2×#66928C2211yescharacteristic
35C2×C4×D44C2211yescharacteristic
36C2×C4×D44C2211yescharacteristic
37C2×C4×D44C2211yescharacteristic
38C2×C4×D44C2211yescharacteristic
39C2×#66923C2211yescharacteristic
40C2×#66923C2211yescharacteristic
41C2×#66922C2211yescharacteristic
42C2×#66922C2211yescharacteristic
43C2×C4×Dic22C2211yescharacteristic
44C2×C4×Dic22C2211yescharacteristic
45C11×#446C2218yescomplemented
46C2×C11×C4⋊C8C2211yescharacteristic
47C2×C11×C4⋊C8C2211yescharacteristic
48C2×C11×C4⋊C8C2211yescharacteristic
49C2×C11×#97C2211yescharacteristic
50C2×C11×#97C2211yescharacteristic
51C2×C4×C8×C11C2211yescharacteristic
52C2×#66885C2211yescharacteristic
53C2×#66885C2211yescharacteristic
54C2×#66885C2211yescharacteristic
55C2×#66885C2211yescharacteristic
56C2×#66882C2211yescharacteristic
57C2×#66881C2211yescharacteristic
58C2×#66881C2211yescharacteristic
59C2×#66880C2211yescharacteristic
60C2×#66880C2211yescharacteristic
61C2×#66880C2211yescharacteristic
62C2×#66880C2211yescharacteristic
63C2×#66880C2211yescharacteristic
64C2×#66880C2211yescharacteristic
65#10622464C2218yescomplemented
66#10622460C2218yescomplemented
67#10622457C2218yes—
68#10622457C2218yes—
69#10622454C2218yescomplemented
70#10622442C2218yescomplemented
71#10622327C2218yescomplemented
72#10622324C2218yes—
73#10622323C2218yescomplemented
74#10622316C2218yescomplemented
75#10622310C2218yescomplemented
76C4×#4314C2218yescomplemented
77C22×Q8×C11D411yescharacteristic
78C22×D44C2311yescharacteristic
79C22×D44C2311yescharacteristic
80C22×C4×D11—21no—
81C22×C4×D11—21no—
82C22×C4×D11—21no—
83C22×C4×D11—21no—
84C22×Dic22—21no—
85C22×Dic22C2311yescharacteristic
86C22×Dic22C2311yescharacteristic
87C22×C8×C11C2311yescharacteristic
88C22×C8×C11C2311yescharacteristic
89C22×C8×C11C2311yescharacteristic
90C22×C8×C11C2311yescharacteristic
91C4×Q8×C11D414yes—
92C4×Q8×C11C2314yes—
93C2×C11×C4⋊C4D411yescharacteristic
94C2×C11×C4⋊C4D411yescharacteristic
95C2×C11×C4⋊C4D411yescharacteristic
96C2×C42×C11C2311yescharacteristic
97C2×C42×C11C2311yescharacteristic
98C2×C42×C11C2311yescharacteristic
99#66999—28no—
100#66999—28no—
101C2×(C2×D11)⋊C4—21no—
102C2×(C2×D11)⋊C4—21no—
103C2×(C2×D11)⋊C4—21no—
104C2×(C2×D11)⋊C4—21no—
105C2×(C2×D11)⋊C4—21no—
106C2×(C2×D11)⋊C4—21no—
107C2×(C2×D11)⋊C4—21no—
108C2×(C2×D11)⋊C4—21no—
109C2×C4⋊Dic11—21no—
110C2×C4⋊Dic11—21no—
111C2×C4⋊Dic11—21no—
112C2×C4⋊Dic11C2311yescharacteristic
113C2×C4⋊Dic11C2311yescharacteristic
114C2×C4⋊Dic11C2311yescharacteristic
115C2×C4⋊Dic11C2311yescharacteristic
116C2×Dic11⋊C4—21no—
117C2×Dic11⋊C4—21no—
118C2×Dic11⋊C4—21no—
119C2×Dic11⋊C4—21no—
120C2×Dic11⋊C4—21no—
121C2×Dic11⋊C4—21no—
122C2×C4×Dic11—21no—
123C2×C4×Dic11—21no—
124C2×D88—24no—
125C2×D88C2314yes—
126C2×#4314—24no—
127C2×#4314—24no—
128C2×#4314C2314yes—
129C2×#4314C2314yes—
130#66951—28no—
131#66951—28no—
132#66949—28no—
133#66949—28no—
134#66945—28no—
135C4⋊C4×D11—28no—
136#66928—22no—
137#66928—22no—
138#66928C2314yes—
139#66928C2314yes—
140C4×D44—22no—
141C4×D44—22no—
142C4×D44—22no—
143C4×D44—22no—
144C4×D44C2314yes—
145C4×D44C2314yes—
146C4×D44C2314yes—
147C4×D44C2314yes—
148#66923—22no—
149#66923—22no—
150#66923C2314yes—
151#66923C2314yes—
152#66922—22no—
153#66922—22no—
154#66922C2314yes—
155#66922C2314yes—
156C4×Dic22—22no—
157C4×Dic22—22no—
158C4×Dic22C2314yes—
159C4×Dic22C2314yes—
160C11×C4⋊C8C2314yes—
161C11×C4⋊C8C2314yes—
162C11×C4⋊C8C2314yes—
163C11×#97C2314yes—
164C11×#97C2314yes—
165C4×C8×C11C2314yes—
166#66885C2314yes—
167#66885C2314yes—
168#66885C2314yes—
169#66885C2314yes—
170#66882C2314yes—
171#66881C2314yes—
172#66881C2314yes—
173#66880C2314yes—
174#66880C2314yes—
175#66880C2314yes—
176#66880C2314yes—
177#66880C2314yes—
178#66880C2314yes—
179C2×#3376—111nomaximal, Sylow
180C23×D11—21no—
181C23×D11—21no—
182C2×Q8×C11—42no—
183C2×Q8×C11C2×D414yes—
184C22×C4×C11C2×D411yescharacteristic
185C22×C4×C11C2×D411yescharacteristic
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2×D411yescharacteristic
189C22×C4×C11C2×D411yescharacteristic
190C22×C4×C11C2411yescharacteristic
191C22×Dic11—21no—
192C22×Dic11—21no—
193C22×Dic11—21no—
194C22×Dic11—21no—
195C22×Dic11—21no—
196C22×Dic11—21no—
197C2×D44—21no—
198C2×D44—21no—
199C2×D44—22no—
200C2×D44—22no—
201C2×D44—22no—
202C2×D44#4114yes—
203C2×D44C2412yes—
204C2×D44C2412yes—
205C2×C4×D11—24no—
206C2×C4×D11—24no—
207C2×C4×D11—24no—
208C2×C4×D11—24no—
209C2×C4×D11—44no—
210C2×C4×D11—44no—
211C2×C4×D11—82no—
212C2×C4×D11—82no—
213C2×Dic22—21no—
214C2×Dic22—21no—
215C2×Dic22—24no—
216C2×Dic22—22no—
217C2×Dic22—22no—
218C2×Dic22—22no—
219C2×Dic22—22no—
220C2×Dic22—82no—
221C2×Dic22C2412yes—
222C2×Dic22C2412yes—
223C2×C8×C11—22no—
224C2×C8×C11—22no—
225C2×C8×C11—22no—
226C2×C8×C11—22no—
227C2×C8×C11C2412yes—
228C2×C8×C11C2412yes—
229C2×C8×C11C2412yes—
230C2×C8×C11C2412yes—
231C11×C4⋊C4C2×D414yes—
232C11×C4⋊C4C2×D414yes—
233C11×C4⋊C4C2×D414yes—
234C42×C11C2×D412yes—
235C42×C11C2×D412yes—
236C42×C11C2×D412yes—
237C42×C11C2412yes—
238C42×C11C2412yes—
239C42×C11C2412yes—
240(C2×D11)⋊C4—24no—
241(C2×D11)⋊C4—24no—
242(C2×D11)⋊C4—24no—
243(C2×D11)⋊C4—24no—
244(C2×D11)⋊C4—24no—
245(C2×D11)⋊C4—24no—
246(C2×D11)⋊C4—24no—
247(C2×D11)⋊C4—24no—
248C4⋊Dic11—21no—
249C4⋊Dic11—21no—
250C4⋊Dic11—21no—
251C4⋊Dic11—24no—
252C4⋊Dic11—24no—
253C4⋊Dic11—24no—
254C4⋊Dic11—21no—
255C4⋊Dic11C2412yes—
256C4⋊Dic11C2412yes—
257C4⋊Dic11C2412yes—
258C4⋊Dic11C2412yes—
259Dic11⋊C4—24no—
260Dic11⋊C4—24no—
261Dic11⋊C4—24no—
262Dic11⋊C4—24no—
263Dic11⋊C4—24no—
264Dic11⋊C4—24no—
265C4×Dic11—24no—
266C4×Dic11—24no—
267D88—28no—
268#4314—28no—
269#4314—28no—
270C2×#556—111no—
271C2×#554—111no—
272#3376—1116no—
273C2×#491—111no—
274C2×#489—111no—
275C2×#488—111no—
276C2×#479—111no—
277C2×#475—111no—
278C2×#478—111no—
279C2×#463—111no—
280C2×#463—111no—
281C2×#461—111no—
282C2×#446D1111yescharacteristic, complemented
283C2×#442—111no—
284C2×#440—111no—
285C2×C4×SD16—111no—
286C23×C11C22×D411yescharacteristic
287C22×D11—24no—
288C22×D11—22no—
289C22×D11—22no—
290C22×D11—42no—
291C22×D11—42no—
292C22×D11—42no—
293C22×D11—42no—
294C22×D11—42no—
295Q8×C11—44no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11C22×D412yes—
303C2×C4×C11C22×D412yes—
304C2×C4×C11C22×D412yes—
305C2×C4×C11C22×D412yes—
306C2×C4×C11C22×D412yes—
307C2×C4×C11C22×D412yes—
308C2×C4×C11C22×D411yescharacteristic
309C2×C4×C11C2×#4112yes—
310C2×C4×C112−1+412yes—
311C2×C4×C11C2511yescharacteristic
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—22no—
316C2×Dic11—22no—
317C2×Dic11—22no—
318C2×Dic11—42no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11—42no—
322C2×Dic11—42no—
323C2×Dic11—42no—
324D44—24no—
325D44—22no—
326D44—22no—
327D44—22no—
328D44—42no—
329D44C2×#4114yes—
330C4×D11—48no—
331C4×D11—48no—
332C4×D11—84no—
333C4×D11—84no—
334Dic22—22no—
335Dic22—22no—
336Dic22—22no—
337Dic22—22no—
338Dic22—42no—
339Dic22—42no—
340Dic22—84no—
341C8×C11—22no—
342C8×C11—22no—
343C8×C11—22no—
344C8×C11—22no—
345C22×SD16—111no—
346C22×SD16—111no—
347C22×D8—111no—
348#556—118no—
349#556—224no—
350#554—118no—
351#554—224no—
352C2×C4⋊Q8—111no—
353C2×C4⋊Q8—111no—
354C2×#126—221no—
355C2×#126—221no—
356C2×#125—111no—
357C2×#125—111no—
358C2×#124—111no—
359C2×#124—111no—
360C2×C22⋊Q8—221no—
361C2×C22⋊Q8—221no—
362C2×C22⋊Q8—221no—
363C2×C22⋊Q8—221no—
364C2×C4×Q8—111no—
365C2×C4×Q8—111no—
366C2×C4×Q8C2×D1111yescharacteristic
367C2×C4×D4—111no—
368C2×C4×D4—111no—
369C2×C4×D4—111no—
370C2×C4×D4—111no—
371C2×#117—221no—
372C22×C4⋊C4—221no—
373#491—118no—
374#489—118no—
375#488—118no—
376#479—118no—
377#478—118no—
378#475—118no—
379#463—118no—
380#463—118no—
381#461—118no—
382#446C2×D1118yescomplemented
383#442—118no—
384#440—118no—
385C4×SD16—118no—
386C2×#107—111no—
387C2×#106—111no—
388C2×#106—111no—
389C2×C4⋊C8C2×D1111yescharacteristic
390C2×C4⋊C8C2×D1111yescharacteristic
391C2×C4⋊C8C2×D1111yescharacteristic
392C2×#103—111no—
393C2×#103—111no—
394C2×#103—111no—
395C2×#103—111no—
396C2×#103—111no—
397C2×#103—111no—
398C2×#102—111no—
399C2×#102—111no—
400C2×#102—111no—
401C2×#102—111no—
402C2×#97C2×D1111yescharacteristic
403C2×#97C2×D1111yescharacteristic
404C2×C4×C8C2×D1111yescharacteristic
405C22×C11#54812yes—
406C22×C11#57512yes—
407C22×C11#57712yes—
408C22×C11C23×D411yescharacteristic
409C2×D11—24no—
410C2×D11—48no—
411C2×D11—42no—
412C2×D11—42no—
413C2×D11—42no—
414C2×D11—42no—
415C2×D11—42no—
416C2×D11—84no—
417C4×C11—22no—
418C4×C11—22no—
419C4×C11—22no—
420C4×C11—22no—
421C4×C11—22no—
422C4×C11—22no—
423C4×C11#54812yes—
424C4×C11C22×#4111yescharacteristic
425C4×C11C2×2−1+411yescharacteristic
426Dic11—42no—
427Dic11—42no—
428Dic11—42no—
429Dic11—42no—
430Dic11—42no—
431Dic11—42no—
432C22×Q8—111no—
433C22×Q8—111no—
434C22×Q8—221no—
435C22×Q8D4411yescharacteristic
436C22×D4—111no—
437C22×D4—111no—
438C23×C4—221no—
439C23×C4—221no—
440C23×C4—221no—
441C23×C4—221no—
442C2×SD16—114no—
443C2×SD16—114no—
444C2×SD16—224no—
445C2×SD16—224no—
446C2×D8—114no—
447C2×D8—224no—
448C22×C8C22×D1111yescharacteristic
449C22×C8C22×D1111yescharacteristic
450C22×C8C22×D1111yescharacteristic
451C22×C8C22×D1111yescharacteristic
452C4⋊Q8—114no—
453C4⋊Q8—114no—
454C4⋊Q8—222no—
455C4⋊Q8—222no—
456#126—228no—
457#126—228no—
458#125—114no—
459#125—114no—
460#125—222no—
461#125—222no—
462#124—114no—
463#124—114no—
464#124—222no—
465#124—222no—
466C22⋊Q8—228no—
467C22⋊Q8—228no—
468C22⋊Q8—228no—
469C22⋊Q8—228no—
470C4×Q8—114no—
471C4×Q8—114no—
472C4×Q8—222no—
473C4×Q8—222no—
474C4×Q8D4414yes—
475C4×Q8C22×D1114yes—
476C4×D4—114no—
477C4×D4—114no—
478C4×D4—114no—
479C4×D4—114no—
480C4×D4—222no—
481C4×D4—222no—
482C4×D4—222no—
483C4×D4—222no—
484#117—228no—
485C2×C4⋊C4—111no—
486C2×C4⋊C4—111no—
487C2×C4⋊C4—111no—
488C2×C4⋊C4—111no—
489C2×C4⋊C4—221no—
490C2×C4⋊C4—221no—
491C2×C4⋊C4—221no—
492C2×C4⋊C4—221no—
493C2×C4⋊C4—221no—
494C2×C4⋊C4—221no—
495C2×C4⋊C4—221no—
496C2×C4⋊C4—221no—
497C2×C4⋊C4—221no—
498C2×C4⋊C4—228no—
499C2×C4⋊C4D4411yescharacteristic
500C2×C4⋊C4D4411yescharacteristic
501C2×C4⋊C4D4411yescharacteristic
502C2×C22⋊C4—221no—
503C2×C22⋊C4—221no—
504C2×C22⋊C4—221no—
505C2×C22⋊C4—221no—
506C2×C22⋊C4—221no—
507C2×C22⋊C4—221no—
508C2×C22⋊C4—221no—
509C2×C22⋊C4—221no—
510C2×C42—221no—
511C2×C42—221no—
512C2×C42C22×D1111yescharacteristic
513C2×C42C22×D1111yescharacteristic
514C2×C42C22×D1111yescharacteristic
515#107—114no—
516#106—114no—
517#106—114no—
518C4⋊C8C22×D1114yes—
519C4⋊C8C22×D1114yes—
520C4⋊C8C22×D1114yes—
521#103—114no—
522#103—114no—
523#103—114no—
524#103—114no—
525#103—114no—
526#103—114no—
527#102—114no—
528#102—114no—
529#102—114no—
530#102—114no—
531#97C22×D1114yes—
532#97C22×D1114yes—
533C4×C8C22×D1114yes—
534C2×C11#337614yescomplemented
535C2×C11C2×#54811yescharacteristic
536C2×C11C2×#57511yescharacteristic
537C2×C11C2×#57711yescharacteristic
538D11—44no—
539D11—82no—
540C24—221no—
541C24—221no—
542C2×Q8—42no—
543C2×Q8—112no—
544C2×Q8—112no—
545C2×Q8—221no—
546C2×Q8—221no—
547C2×Q8—224no—
548C2×Q8—222no—
549C2×Q8—222no—
550C2×Q8—222no—
551C2×Q8—222no—
552C2×Q8—882no—
553C2×Q8C2×D4414yes—
554C2×D4—114no—
555C2×D4—112no—
556C2×D4—112no—
557C2×D4—221no—
558C2×D4—221no—
559C2×D4—222no—
560C2×D4—222no—
561C2×D4—222no—
562C22×C4—221no—
563C22×C4—221no—
564C22×C4—221no—
565C22×C4—221no—
566C22×C4—221no—
567C22×C4—221no—
568C22×C4—224no—
569C22×C4—224no—
570C22×C4—224no—
571C22×C4—224no—
572C22×C4—444no—
573C22×C4—444no—
574C22×C4—882no—
575C22×C4—882no—
576C22×C4C2×D4411yescharacteristic
577C22×C4C2×D4411yescharacteristic
578C22×C4C2×D4411yescharacteristic
579C22×C4C2×D4411yescharacteristic
580C22×C4C2×D4411yescharacteristic
581C22×C4C2×D4411yescharacteristic
582C22×C4C23×D1111yescharacteristic
583SD16—228no—
584SD16—228no—
585D8—228no—
586C2×C8—22no—
587C2×C8—22no—
588C2×C8—22no—
589C2×C8—22no—
590C2×C8C23×D1112yes—
591C2×C8C23×D1112yes—
592C2×C8C23×D1112yes—
593C2×C8C23×D1112yes—
594C4⋊C4—112no—
595C4⋊C4—112no—
596C4⋊C4—112no—
597C4⋊C4—112no—
598C4⋊C4—221no—
599C4⋊C4—221no—
600C4⋊C4—221no—
601C4⋊C4—221no—
602C4⋊C4—224no—
603C4⋊C4—224no—
604C4⋊C4—224no—
605C4⋊C4—224no—
606C4⋊C4—224no—
607C4⋊C4—224no—
608C4⋊C4—224no—
609C4⋊C4—224no—
610C4⋊C4—224no—
611C4⋊C4C2×D4414yes—
612C4⋊C4C2×D4414yes—
613C4⋊C4C2×D4414yes—
614C22⋊C4—224no—
615C22⋊C4—224no—
616C22⋊C4—224no—
617C22⋊C4—224no—
618C22⋊C4—224no—
619C22⋊C4—224no—
620C22⋊C4—224no—
621C22⋊C4—224no—
622C42—224no—
623C42—224no—
624C42C2×D4412yes—
625C42C2×D4412yes—
626C42C2×D4412yes—
627C42C23×D1112yes—
628C42C23×D1112yes—
629C42C23×D1112yes—
630C11C2×#337611yescharacteristic, complemented, Sylow
631C23—224no—
632C23—222no—
633C23—222no—
634C23—442no—
635C23—442no—
636C23—442no—
637C23—442no—
638C23—442no—
639C23C22×D4411yescharacteristic
640Q8—44no—
641Q8—222no—
642Q8—222no—
643Q8—222no—
644Q8—222no—
645Q8—442no—
646Q8—442no—
647Q8—884no—
648D4—114no—
649D4—224no—
650D4—222no—
651D4—222no—
652D4—222no—
653D4—442no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—222no—
663C2×C4—222no—
664C2×C4—222no—
665C2×C4—222no—
666C2×C4—448no—
667C2×C4—448no—
668C2×C4—442no—
669C2×C4—442no—
670C2×C4—442no—
671C2×C4—442no—
672C2×C4—442no—
673C2×C4—442no—
674C2×C4—884no—
675C2×C4—884no—
676C2×C4C22×D4412yes—
677C2×C4C22×D4412yes—
678C2×C4C22×D4412yes—
679C2×C4C22×D4412yes—
680C2×C4C22×D4412yes—
681C2×C4C22×D4412yes—
682C2×C4C22×D4411yescharacteristic
683C2×C4#6704012yes—
684C2×C4#41×D1112yes—
685C2×C4C24×D1111yescharacteristic
686C8—22no—
687C8—22no—
688C8—22no—
689C8—22no—
690C22—224no—
691C22—448no—
692C22—442no—
693C22—442no—
694C22—442no—
695C22—442no—
696C22—442no—
697C22—884no—
698C22#1062310712yes—
699C22#1062327912yes—
700C22#1062328212yes—
701C22C23×D4411yescharacteristic
702C4—22no—
703C4—22no—
704C4—22no—
705C4—22no—
706C4—22no—
707C4—22no—
708C4—442no—
709C4—442no—
710C4—442no—
711C4—442no—
712C4—442no—
713C4—442no—
714C4#1062310712yes—
715C4C2×#6704011yescharacteristic
716C4C2×#41×D1111yescharacteristic
717C2—444no—
718C2—882no—
719C2#1308144514yesdirect product factor
720C2C2×#1062310711yescharacteristic
721C2C2×#1062327911yescharacteristic
722C2C2×#1062328211yescharacteristic
subgroupG/H
centerC23C22×D44
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#446C2
socleC23×C11C22×D4
prime radicalC22×D88C22
hypercenterC2×#446D11
hypocenterC11C2×#3376
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
1. C2×#10623115C2semidirect
2. C2×#10623110C2semidirect
3. #13081445C2direct (N × H)
4. C2×#10622316C2semidirect
5. C2×#10622327C2semidirect
6. C2×#10622310C2semidirect
7. C2×#10622442C2semidirect
8. C2×#10622464C2semidirect
9. C2×#10622460C2semidirect
12. C2×#10622454C2semidirect
14. C2×#10622323C2semidirect
15. C2×C4×#4314C2semidirect
16. C2×C11×#446C2semidirect
24. #10623115C22semidirect
26. #10623110C22semidirect
45. C11×#446C22semidirect
65. #10622464C22semidirect
66. #10622460C22semidirect
69. #10622454C22semidirect
70. #10622442C22semidirect
71. #10622327C22semidirect
73. #10622323C22semidirect
74. #10622316C22semidirect
75. #10622310C22semidirect
76. C4×#4314C22semidirect
282. C2×#446D11semidirect
382. #446C2×D11semidirect
534. C2×C11#3376semidirect
630. C11C2×#3376semidirect
719. C2#13081445direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106231152
C2×#106231102
#130814452
C2×#106223162
C2×#106223272
C2×#106223102
C2×#106224422
C2×#106224642
C2×#106224602
C2×#106224572
C2×#106224542
C2×#106223242
C2×#106223232
C2×C4×#43142
C2×C11×#4462
C2×#337611