Finite Group Databasebeta

← C2×#13078914 #15622127

Subgroups — C2×#13078914 #15622127

Order 2816.

1994 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623262C211yesmaximal, characteristic
2C2×#10623103C211yesmaximal, characteristic
3#13078914C2116yesmaximal, direct product factor
4C2×#10622427C211yesmaximal, characteristic
5C2×#10622428C211yesmaximal, characteristic
6C2×#10622442C211yesmaximal, characteristic, complemented
7C2×#10622635C211yesmaximal, characteristic, complemented
8C2×#10622703C211yesmaximal, characteristic, complemented
9C2×#10622799C211yesmaximal, characteristic
10C2×#10622799C211yesmaximal, characteristic
11C2×#10622797C211yesmaximal, characteristic, complemented
12C2×#10622402C211yesmaximal, characteristic, complemented
13C2×Q16×Dic11C211yesmaximal, characteristic, complemented
14C2×#10622403C211yesmaximal, characteristic, complemented
15C2×#10622453C211yesmaximal, characteristic
16C2×C11×#462C211yesmaximal, characteristic, complemented
17C22×Q8×D11C2211yescharacteristic
18C22×C11×Q16C2211yescharacteristic
19C22×C11×Q16C2211yescharacteristic
20C2×C11×C4⋊Q8C2211yescharacteristic
21C2×C4×Q8×C11C2211yescharacteristic
22C2×#66999C2211yescharacteristic
23C2×#66999C2211yescharacteristic
24C2×Q8×Dic11C2211yescharacteristic
25C2×Q8×Dic11C2211yescharacteristic
26C2×Q8×Dic11C2211yescharacteristic
27C22×#4326C2211yescharacteristic
28C22×#4326C2211yescharacteristic
29#10623262—24no—
30#10623262C2218yes—
31#10623103—24no—
32#10623103C2218yes—
33C2×#66951—21no—
34C2×#66951—21no—
35C2×#66945—21no—
36C2×#66945C2211yescharacteristic
37C2×#66942—21no—
38C2×#66942—21no—
39C2×#66940—21no—
40C2×#66940C2211yescharacteristic
41C2×#66925—21no—
42C2×#66925C2211yescharacteristic
43C2×#66923C2211yescharacteristic
44C2×C4×Dic22—21no—
45C2×C4×Dic22C2211yescharacteristic
46C11×#462C2218yescomplemented
47C2×C11×C4⋊C8C2211yescharacteristic
48C2×C11×#103C2211yescharacteristic
49C2×C11×#103C2211yescharacteristic
50C2×#66899C2211yescharacteristic
51C2×#66899C2211yescharacteristic
52C2×#66899C2211yescharacteristic
53C2×#66899C2211yescharacteristic
54#10622799C2218yes—
55#10622799C2218yes—
56#10622797C2218yescomplemented
57Q16×Dic11C2218yescomplemented
58C2×(C2×D11)⋊C8C2211yescharacteristic
59C2×(C2×D11)⋊C8C2211yescharacteristic
60C2×#66882C2211yescharacteristic
61C2×#66881C2211yescharacteristic
62C2×#66880C2211yescharacteristic
63C2×#66880C2211yescharacteristic
64C2×#66879C2211yescharacteristic
65C2×C8×Dic11C2211yescharacteristic
66#10622703C2218yescomplemented
67#10622635C2218yescomplemented
68C2×#66872C2211yescharacteristic
69C2×#66871C2211yescharacteristic
70C2×C4⋊(C11⋊C8)C2211yescharacteristic
71#10622453C2218yes—
72#10622442C2218yescomplemented
73#10622428C2218yes—
74#10622427C2218yes—
75#10622403C2218yescomplemented
76#10622402C2218yescomplemented
77C22×Q8×C11C2311yescharacteristic
78C22×Q8×C11C2311yescharacteristic
79C22×Q8×C11C2311yescharacteristic
80C2×Q8×D11—24no—
81C2×Q8×D11—22no—
82C2×Q8×D11—24no—
83C2×Q8×D11C2314yes—
84C22×C4×D11—21no—
85C22×C4×D11C2311yescharacteristic
86C22×Dic22—21no—
87C22×Dic22C2311yescharacteristic
88C2×C11×Q16—24no—
89C2×C11×Q16—24no—
90C2×C11×Q16C2314yes—
91C2×C11×Q16C2314yes—
92C22×C8×C11C2311yescharacteristic
93C22×C8×C11C2311yescharacteristic
94C11×C4⋊Q8—22no—
95C11×C4⋊Q8C2314yes—
96C4×Q8×C11—22no—
97C4×Q8×C11C2314yes—
98C2×C11×C4⋊C4—21no—
99C2×C11×C4⋊C4—21no—
100C2×C11×C4⋊C4—21no—
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C42×C11—21no—
103C2×C42×C11C2311yescharacteristic
104#66999—22no—
105#66999—22no—
106#66999C2314yes—
107#66999C2314yes—
108Q8×Dic11—22no—
109Q8×Dic11—22no—
110Q8×Dic11—22no—
111Q8×Dic11C2314yes—
112Q8×Dic11C2314yes—
113Q8×Dic11C2314yes—
114C2×#4326—24no—
115C2×#4326—24no—
116C2×#4326C2314yes—
117C2×#4326C2314yes—
118C2×(C2×D11)⋊C4—21no—
119C2×(C2×D11)⋊C4—21no—
120C2×(C2×D11)⋊C4—21no—
121C2×(C2×D11)⋊C4D411yescharacteristic
122C2×(C2×D11)⋊C4D411yescharacteristic
123C2×C4⋊Dic11—21no—
124C2×C4⋊Dic11—21no—
125C2×C4⋊Dic11—21no—
126C2×C4⋊Dic11C2311yescharacteristic
127C2×C4⋊Dic11C2311yescharacteristic
128C2×C4⋊Dic11C2311yescharacteristic
129C2×Dic11⋊C4—21no—
130C2×Dic11⋊C4—21no—
131C2×Dic11⋊C4—21no—
132C2×Dic11⋊C4—21no—
133C2×Dic11⋊C4—21no—
134C2×Dic11⋊C4—21no—
135C2×Dic11⋊C4D411yescharacteristic
136C2×Dic11⋊C4D411yescharacteristic
137C2×C4×Dic11—21no—
138C2×C4×Dic11—21no—
139C2×C4×Dic11—21no—
140C2×C4×Dic11—21no—
141C2×C4×Dic11—21no—
142C2×C4×Dic11—21no—
143C2×C4×Dic11C2311yescharacteristic
144C22×C11⋊C8C2311yescharacteristic
145C22×C11⋊C8C2311yescharacteristic
146#66951—28no—
147#66951—28no—
148#66945—22no—
149#66945—28no—
150#66945C2314yes—
151#66942—28no—
152#66942—28no—
153#66940—28no—
154#66940—22no—
155#66940C2314yes—
156#66925—28no—
157#66925D414yes—
158#66925C2314yes—
159#66923—22no—
160#66923C2314yes—
161C4×Dic22—22no—
162C4×Dic22—28no—
163C4×Dic22C2314yes—
164C11×C4⋊C8C2314yes—
165C11×#103C2314yes—
166C11×#103C2314yes—
167#66899C2314yes—
168#66899C2314yes—
169#66899C2314yes—
170#66899C2314yes—
171(C2×D11)⋊C8C2314yes—
172(C2×D11)⋊C8C2314yes—
173#66882C2314yes—
174#66881C2314yes—
175#66880C2314yes—
176#66880C2314yes—
177#66879C2314yes—
178C8×Dic11C2314yes—
179#66872C2314yes—
180#66871C2314yes—
181C4⋊(C11⋊C8)C2314yes—
182C2×#3127—111nomaximal, Sylow
183C23×D11C2×D411yescharacteristic
184C2×Q8×C11—21no—
185C2×Q8×C11—21no—
186C2×Q8×C11—21no—
187C2×Q8×C11—22no—
188C2×Q8×C11—22no—
189C2×Q8×C11—22no—
190C2×Q8×C11—22no—
191C2×Q8×C11—22no—
192C2×Q8×C11#4114yes—
193C2×Q8×C11C2412yes—
194C2×Q8×C11C2412yes—
195C2×Q8×C11C2412yes—
196C22×C4×C11—21no—
197C22×C4×C11—21no—
198C22×C4×C11—21no—
199C22×C4×C11—21no—
200C22×C4×C11C2×D411yescharacteristic
201C22×C4×C11C2×D411yescharacteristic
202C22×C4×C11C2411yescharacteristic
203C22×Dic11—21no—
204C22×Dic11—21no—
205C22×Dic11—21no—
206C22×Dic11—21no—
207C22×Dic11C2×D411yescharacteristic
208C22×Dic11C2×D411yescharacteristic
209C22×Dic11C2×D411yescharacteristic
210Q8×D11—216no—
211Q8×D11—28no—
212Q8×D11—28no—
213C2×C4×D11—28no—
214C2×C4×D11—24no—
215C2×C4×D11—22no—
216C2×C4×D11—22no—
217C2×C4×D11C2×D412yes—
218C2×C4×D11C2412yes—
219C2×Dic22—28no—
220C2×Dic22—24no—
221C2×Dic22—21no—
222C2×Dic22—22no—
223C2×Dic22#4114yes—
224C2×Dic22C2412yes—
225C11×Q16—28no—
226C11×Q16—28no—
227C2×C8×C11—22no—
228C2×C8×C11—22no—
229C2×C8×C11C2412yes—
230C2×C8×C11C2412yes—
231C11×C4⋊C4—24no—
232C11×C4⋊C4—21no—
233C11×C4⋊C4—24no—
234C11×C4⋊C4—24no—
235C11×C4⋊C4C2412yes—
236C42×C11—24no—
237C42×C11C2×D412yes—
238C42×C11C2412yes—
239#4326—28no—
240#4326—28no—
241(C2×D11)⋊C4—24no—
242(C2×D11)⋊C4—24no—
243(C2×D11)⋊C4—24no—
244(C2×D11)⋊C4C2×D414yes—
245(C2×D11)⋊C4C2×D414yes—
246C4⋊Dic11—24no—
247C4⋊Dic11—24no—
248C4⋊Dic11—24no—
249C4⋊Dic11—21no—
250C4⋊Dic11—21no—
251C4⋊Dic11—21no—
252C4⋊Dic11C2412yes—
253C4⋊Dic11C2412yes—
254C4⋊Dic11C2412yes—
255Dic11⋊C4—24no—
256Dic11⋊C4—24no—
257Dic11⋊C4—24no—
258Dic11⋊C4—24no—
259Dic11⋊C4—24no—
260Dic11⋊C4—24no—
261Dic11⋊C4C2×D414yes—
262Dic11⋊C4C2×D414yes—
263C4×Dic11—24no—
264C4×Dic11—24no—
265C4×Dic11—24no—
266C4×Dic11—24no—
267C4×Dic11—24no—
268C4×Dic11—24no—
269C4×Dic11C2×D412yes—
270C4×Dic11C2412yes—
271C2×C11⋊C8—22no—
272C2×C11⋊C8—22no—
273C2×C11⋊C8C2412yes—
274C2×C11⋊C8C2412yes—
275C2×#541—111no—
276C2×#519—111no—
277#3127—1116no—
278C2×#485—111no—
279C2×#485—111no—
280C2×#479—111no—
281C2×#479—111no—
282C2×#462—111no—
283C2×#462D1111yescharacteristic, complemented
284C2×#451—111no—
285C2×#451—111no—
286C2×#441—111no—
287C2×#441—111no—
288C2×C4×Q16—111no—
289C2×C4×Q16—111no—
290C2×#433—111no—
291C23×C11C22×D411yescharacteristic
292C22×D11—22no—
293C22×D11—22no—
294C22×D11—22no—
295C22×D11C22×D412yes—
296Q8×C11—24no—
297Q8×C11—22no—
298Q8×C11—22no—
299Q8×C11—22no—
300Q8×C11—22no—
301Q8×C11—22no—
302Q8×C11—42no—
303Q8×C11—42no—
304Q8×C11C2×#4114yes—
305C2×C4×C11—24no—
306C2×C4×C11—22no—
307C2×C4×C11—22no—
308C2×C4×C11—22no—
309C2×C4×C11—22no—
310C2×C4×C11—22no—
311C2×C4×C11—22no—
312C2×C4×C11—42no—
313C2×C4×C11—42no—
314C2×C4×C11—42no—
315C2×C4×C11C22×D412yes—
316C2×C4×C11C22×D412yes—
317C2×C4×C11C22×D411yescharacteristic
318C2×C4×C11C2×#4112yes—
319C2×C4×C11C2×#4112yes—
320C2×C4×C11C2511yescharacteristic
321C2×Dic11—22no—
322C2×Dic11—24no—
323C2×Dic11—22no—
324C2×Dic11—22no—
325C2×Dic11—22no—
326C2×Dic11—22no—
327C2×Dic11—22no—
328C2×Dic11—22no—
329C2×Dic11—42no—
330C2×Dic11—42no—
331C2×Dic11—42no—
332C2×Dic11C22×D412yes—
333C2×Dic11C22×D412yes—
334C2×Dic11C22×D412yes—
335C4×D11—216no—
336C4×D11—24no—
337C4×D11—22no—
338C4×D11—22no—
339Dic22—216no—
340Dic22—24no—
341Dic22—22no—
342Dic22C2×#4114yes—
343C8×C11—22no—
344C8×C11—22no—
345C11⋊C8—22no—
346C11⋊C8—22no—
347C23×Q8—111no—
348C22×Q16—111no—
349C22×Q16—111no—
350C22×Q16C2×D1111yescharacteristic
351C22×Q16C2×D1111yescharacteristic
352#541—118no—
353#541—224no—
354C2×C4⋊Q8C2×D1111yescharacteristic
355C2×#126—221no—
356C2×#126—221no—
357C2×#125—111no—
358C2×#125—221no—
359C2×#125—221no—
360C2×C22⋊Q8—111no—
361C2×C22⋊Q8—111no—
362#519—118no—
363#519—224no—
364C2×C4×Q8—111no—
365C2×C4×Q8—111no—
366C2×C4×Q8—111no—
367C2×C4×Q8—111no—
368C2×C4×Q8—111no—
369C2×C4×Q8—221no—
370C2×C4×Q8—221no—
371C2×C4×Q8C2×D1111yescharacteristic
372C2×#117—111no—
373C2×#117—111no—
374C2×#117—221no—
375C2×#117—221no—
376#485—118no—
377#485—118no—
378#479—118no—
379#479—118no—
380#462—118no—
381#462C2×D1118yescomplemented
382#451—118no—
383#451—118no—
384#441—118no—
385#441—118no—
386C4×Q16—118no—
387C4×Q16—118no—
388#433—118no—
389C2×#107—111no—
390C2×#107—111no—
391C2×#106—111no—
392C2×#106—111no—
393C2×C4⋊C8—111no—
394C2×C4⋊C8C2×D1111yescharacteristic
395C2×#103—111no—
396C2×#103—111no—
397C2×#103—111no—
398C2×#103—111no—
399C2×#103—111no—
400C2×#103—111no—
401C2×#103C2×D1111yescharacteristic
402C2×#103C2×D1111yescharacteristic
403C2×C22⋊C8—111no—
404C2×C22⋊C8—111no—
405C2×#97—111no—
406C2×C4×C8—111no—
407C22×C11#52512yes—
408C22×C11#57812yes—
409C22×C11#57812yes—
410C22×C11C23×D411yescharacteristic
411C2×D11—22no—
412C2×D11—22no—
413C2×D11—22no—
414C2×D11—44no—
415C4×C11—24no—
416C4×C11—22no—
417C4×C11—22no—
418C4×C11—42no—
419C4×C11—42no—
420C4×C11—42no—
421C4×C11#52512yes—
422C4×C11C22×#4111yescharacteristic
423C4×C11C22×#4111yescharacteristic
424Dic11—22no—
425Dic11—24no—
426Dic11—22no—
427Dic11—22no—
428Dic11—42no—
429Dic11—42no—
430Dic11—42no—
431C22×Q8—114no—
432C22×Q8—111no—
433C22×Q8—221no—
434C22×Q8—222no—
435C22×Q8—224no—
436C22×Q8—224no—
437C22×Q8C22×D1111yescharacteristic
438C22×Q8C22×D1111yescharacteristic
439C22×Q8C22×D1111yescharacteristic
440C23×C4—111no—
441C23×C4—221no—
442C2×Q16—24no—
443C2×Q16—24no—
444C2×Q16—114no—
445C2×Q16—114no—
446C2×Q16—224no—
447C2×Q16—224no—
448C2×Q16C22×D1114yes—
449C2×Q16C22×D1114yes—
450C22×C8—111no—
451C22×C8—111no—
452C22×C8C22×D1111yescharacteristic
453C22×C8C22×D1111yescharacteristic
454C4⋊Q8—22no—
455C4⋊Q8C22×D1114yes—
456#126—228no—
457#126—228no—
458#125—114no—
459#125—228no—
460#125—228no—
461#125—222no—
462C22⋊Q8—114no—
463C22⋊Q8—114no—
464C22⋊Q8—222no—
465C22⋊Q8—222no—
466C4×Q8—22no—
467C4×Q8—114no—
468C4×Q8—114no—
469C4×Q8—114no—
470C4×Q8—114no—
471C4×Q8—114no—
472C4×Q8—228no—
473C4×Q8—222no—
474C4×Q8—222no—
475C4×Q8—222no—
476C4×Q8—222no—
477C4×Q8—228no—
478C4×Q8—222no—
479C4×Q8C22×D1114yes—
480#117—114no—
481#117—114no—
482#117—114no—
483#117—228no—
484#117—228no—
485#117—222no—
486C2×C4⋊C4—21no—
487C2×C4⋊C4—21no—
488C2×C4⋊C4—21no—
489C2×C4⋊C4—111no—
490C2×C4⋊C4—111no—
491C2×C4⋊C4—111no—
492C2×C4⋊C4—111no—
493C2×C4⋊C4—111no—
494C2×C4⋊C4—221no—
495C2×C4⋊C4—221no—
496C2×C4⋊C4—221no—
497C2×C4⋊C4—221no—
498C2×C4⋊C4—221no—
499C2×C4⋊C4—221no—
500C2×C4⋊C4—221no—
501C2×C4⋊C4—221no—
502C2×C4⋊C4—221no—
503C2×C4⋊C4C22×D1111yescharacteristic
504C2×C22⋊C4—111no—
505C2×C22⋊C4—111no—
506C2×C22⋊C4—221no—
507C2×C22⋊C4—221no—
508C2×C22⋊C4—221no—
509C2×C42—21no—
510C2×C42—111no—
511C2×C42—221no—
512C2×C42—221no—
513C2×C42—221no—
514C2×C42—221no—
515C2×C42—221no—
516C2×C42—221no—
517C2×C42C22×D1111yescharacteristic
518#107—114no—
519#107—114no—
520#106—114no—
521#106—114no—
522C4⋊C8—114no—
523C4⋊C8C22×D1114yes—
524#103—114no—
525#103—114no—
526#103—114no—
527#103—114no—
528#103—114no—
529#103—114no—
530#103C22×D1114yes—
531#103C22×D1114yes—
532C22⋊C8—114no—
533C22⋊C8—114no—
534#97—114no—
535C4×C8—114no—
536C2×C11#312714yescomplemented
537C2×C11C2×#52511yescharacteristic
538C2×C11C2×#57811yescharacteristic
539C2×C11C2×#57811yescharacteristic
540D11—42no—
541C24—111no—
542C2×Q8—21no—
543C2×Q8—21no—
544C2×Q8—21no—
545C2×Q8—22no—
546C2×Q8—22no—
547C2×Q8—22no—
548C2×Q8—22no—
549C2×Q8—22no—
550C2×Q8—114no—
551C2×Q8—112no—
552C2×Q8—224no—
553C2×Q8—228no—
554C2×Q8—228no—
555C2×Q8—2216no—
556C2×Q8—228no—
557C2×Q8—221no—
558C2×Q8—222no—
559C2×Q8#434114yes—
560C2×Q8C23×D1112yes—
561C2×Q8C23×D1112yes—
562C2×Q8C23×D1112yes—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—111no—
568C22×C4—111no—
569C22×C4—111no—
570C22×C4—112no—
571C22×C4—112no—
572C22×C4—224no—
573C22×C4—228no—
574C22×C4—221no—
575C22×C4—222no—
576C22×C4—222no—
577C22×C4—221no—
578C22×C4—221no—
579C22×C4—221no—
580C22×C4D4×D1111yescharacteristic
581C22×C4D4×D1111yescharacteristic
582C22×C4C23×D1111yescharacteristic
583Q16—28no—
584Q16—28no—
585Q16—228no—
586Q16—228no—
587C2×C8—22no—
588C2×C8—22no—
589C2×C8—112no—
590C2×C8—112no—
591C2×C8—222no—
592C2×C8—222no—
593C2×C8C23×D1112yes—
594C2×C8C23×D1112yes—
595C4⋊C4—24no—
596C4⋊C4—24no—
597C4⋊C4—24no—
598C4⋊C4—21no—
599C4⋊C4—114no—
600C4⋊C4—114no—
601C4⋊C4—112no—
602C4⋊C4—112no—
603C4⋊C4—112no—
604C4⋊C4—224no—
605C4⋊C4—224no—
606C4⋊C4—224no—
607C4⋊C4—224no—
608C4⋊C4—224no—
609C4⋊C4—224no—
610C4⋊C4—221no—
611C4⋊C4—221no—
612C4⋊C4—221no—
613C4⋊C4—224no—
614C4⋊C4—224no—
615C4⋊C4—224no—
616C4⋊C4C23×D1112yes—
617C22⋊C4—114no—
618C22⋊C4—114no—
619C22⋊C4—224no—
620C22⋊C4—224no—
621C22⋊C4—224no—
622C42—24no—
623C42—112no—
624C42—112no—
625C42—224no—
626C42—224no—
627C42—224no—
628C42—224no—
629C42—224no—
630C42—224no—
631C42D4×D1112yes—
632C42C23×D1112yes—
633C11C2×#312711yescharacteristic, complemented, Sylow
634C23—112no—
635C23—222no—
636C23—222no—
637C23—222no—
638C23C2×D4×D1111yescharacteristic
639Q8—24no—
640Q8—22no—
641Q8—22no—
642Q8—22no—
643Q8—22no—
644Q8—22no—
645Q8—42no—
646Q8—42no—
647Q8—114no—
648Q8—2216no—
649Q8—224no—
650Q8—222no—
651Q8C2×#434114yes—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—112no—
663C2×C4—112no—
664C2×C4—112no—
665C2×C4—2216no—
666C2×C4—222no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—224no—
670C2×C4—222no—
671C2×C4—224no—
672C2×C4—222no—
673C2×C4—222no—
674C2×C4—222no—
675C2×C4—222no—
676C2×C4—222no—
677C2×C4—442no—
678C2×C4—442no—
679C2×C4—442no—
680C2×C4C2×D4×D1112yes—
681C2×C4C2×D4×D1112yes—
682C2×C4C2×D4×D1111yescharacteristic
683C2×C4C2×#434112yes—
684C2×C4#41×D1112yes—
685C2×C4C24×D1111yescharacteristic
686C8—22no—
687C8—22no—
688C8—222no—
689C8—222no—
690C22—222no—
691C22—222no—
692C22—222no—
693C22—444no—
694C22#1062313712yes—
695C22#1062329712yes—
696C22#1062331012yes—
697C22C22×D4×D1111yescharacteristic
698C4—24no—
699C4—22no—
700C4—22no—
701C4—42no—
702C4—42no—
703C4—42no—
704C4—222no—
705C4—224no—
706C4—222no—
707C4—222no—
708C4—442no—
709C4—442no—
710C4—442no—
711C4#1062313712yes—
712C4C22×#434111yescharacteristic
713C4C2×#41×D1111yescharacteristic
714C2—442no—
715C2#1307891414yesdirect product factor
716C2C2×#1062313711yescharacteristic
717C2C2×#1062329711yescharacteristic
718C2C2×#1062331011yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#462C2
socleC23×C11C22×D4
prime radicalC23×D11C2×D4
hypercenterC2×#462D11
hypocenterC11C2×#3127
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#462

Complements

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

NH ≅ G/Ntype
3. #13078914C2direct (N × H)
6. C2×#10622442C2semidirect
7. C2×#10622635C2semidirect
8. C2×#10622703C2semidirect
11. C2×#10622797C2semidirect
12. C2×#10622402C2semidirect
13. C2×Q16×Dic11C2semidirect
14. C2×#10622403C2semidirect
16. C2×C11×#462C2semidirect
46. C11×#462C22semidirect
56. #10622797C22semidirect
57. Q16×Dic11C22semidirect
66. #10622703C22semidirect
67. #10622635C22semidirect
72. #10622442C22semidirect
75. #10622403C22semidirect
76. #10622402C22semidirect
283. C2×#462D11semidirect
381. #462C2×D11semidirect
536. C2×C11#3127semidirect
633. C11C2×#3127semidirect
715. C2#13078914direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106232622
C2×#106231032
#130789142
C2×#106224272
C2×#106224282
C2×#106224422
C2×#106226352
C2×#106227032
C2×#106227992
C2×#106227972
C2×#106224022
C2×Q16×Dic112
C2×#106224032
C2×#106224532
C2×C11×#4622
C2×#312711