Finite Group Databasebeta

← C2×#13081078 #15632327

Subgroups — C2×#13081078 #15632327

Order 2816.

1878 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×#10623110C211yesmaximal, characteristic
2C2×#10623225C211yesmaximal, characteristic
3#13081078C2116yesmaximal, direct product factor
4C2×#10622678C211yesmaximal, characteristic, complemented
5C2×#10622497C211yesmaximal, characteristic, complemented
6C2×#10622428C211yesmaximal, characteristic, complemented
7C2×#10622475C211yesmaximal, characteristic, complemented
8C2×#10622418C211yesmaximal, characteristic, complemented
9C2×#10622464C211yesmaximal, characteristic, complemented
10C2×#10622429C211yesmaximal, characteristic, complemented
11C2×#10622426C211yesmaximal, characteristic, complemented
12C2×#10622643C211yesmaximal, characteristic, complemented
13C2×#10622449C211yesmaximal, characteristic
14C2×#10622494C211yesmaximal, characteristic, complemented
15C2×D11×#106C211yesmaximal, characteristic, complemented
16C2×C11×#479C211yesmaximal, characteristic, complemented
17C2×C11×#125C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C2×#66999C2211yescharacteristic
20C2×#66999C2211yescharacteristic
21C22×#4326C2211yescharacteristic
22C22×#4313C2211yescharacteristic
23C22×C8×D11C2211yescharacteristic
24#10623225—24no—
25#10623225C2218yes—
26#10623110—24no—
27#10623110C2218yes—
28C2×#66951—21no—
29C2×#66950C2211yescharacteristic
30C2×#66950C2211yescharacteristic
31C2×#66949—21no—
32C2×#66949—21no—
33C2×#66947—21no—
34C2×#66945—21no—
35C2×#66945C2211yescharacteristic
36C2×C4⋊C4×D11C2211yescharacteristic
37C2×C4⋊C4×D11C2211yescharacteristic
38C2×C4⋊C4×D11C2211yescharacteristic
39C2×#66943—21no—
40C2×C4×D44—21no—
41C2×C4×D44C2211yescharacteristic
42C2×#66923—21no—
43C2×#66922C2211yescharacteristic
44C2×C4×Dic22C2211yescharacteristic
45C11×#479C2218yescomplemented
46C2×C11×#107C2211yescharacteristic
47C2×C11×#106C2211yescharacteristic
48C2×C11×C4⋊C8C2211yescharacteristic
49C2×C11×#103C2211yescharacteristic
50C2×C11×#103C2211yescharacteristic
51C2×#66899C2211yescharacteristic
52C2×(C2×D11)⋊C8C2211yescharacteristic
53C2×(C2×D11)⋊C8C2211yescharacteristic
54C2×#66881C2211yescharacteristic
55C2×#66881C2211yescharacteristic
56C2×#66880C2211yescharacteristic
57C2×#66880C2211yescharacteristic
58#10622678C2218yescomplemented
59#10622643C2218yescomplemented
60C2×#66874C2211yescharacteristic
61C2×#66872C2211yescharacteristic
62C2×#66872C2211yescharacteristic
63C2×#66872C2211yescharacteristic
64C2×#66871C2211yescharacteristic
65C2×#66871C2211yescharacteristic
66C2×#66867C2211yescharacteristic
67#10622497C2218yescomplemented
68#10622494C2218yescomplemented
69#10622475C2218yescomplemented
70D11×#106C2218yescomplemented
71#10622464C2218yescomplemented
72#10622449C2218yes—
73#10622429C2218yescomplemented
74#10622428C2218yescomplemented
75#10622426C2218yescomplemented
76#10622418C2218yescomplemented
77C22×Q8×C11C2311yescharacteristic
78C22×D44D411yescharacteristic
79C22×C4×D11—21no—
80C22×C4×D11—21no—
81C22×C4×D11—21no—
82C22×C4×D11C2311yescharacteristic
83C22×C4×D11C2311yescharacteristic
84C22×Dic22—21no—
85C22×Dic22C2311yescharacteristic
86C22×C8×C11C2311yescharacteristic
87C22×C8×C11C2311yescharacteristic
88C11×#125—22no—
89C11×#125C2314yes—
90C4×Q8×C11—22no—
91C4×Q8×C11C2314yes—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4—21no—
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C42×C11—21no—
99C2×C42×C11C2311yescharacteristic
100#66999—22no—
101#66999—22no—
102#66999C2314yes—
103#66999C2314yes—
104C2×#4326—24no—
105C2×#4326C2314yes—
106C2×(C2×D11)⋊C4—21no—
107C2×(C2×D11)⋊C4—21no—
108C2×(C2×D11)⋊C4—21no—
109C2×(C2×D11)⋊C4—21no—
110C2×(C2×D11)⋊C4—21no—
111C2×(C2×D11)⋊C4D411yescharacteristic
112C2×(C2×D11)⋊C4D411yescharacteristic
113C2×C4⋊Dic11—21no—
114C2×C4⋊Dic11—21no—
115C2×C4⋊Dic11—21no—
116C2×C4⋊Dic11D411yescharacteristic
117C2×C4⋊Dic11C2311yescharacteristic
118C2×C4⋊Dic11C2311yescharacteristic
119C2×C4⋊Dic11C2311yescharacteristic
120C2×Dic11⋊C4—21no—
121C2×Dic11⋊C4—21no—
122C2×Dic11⋊C4—21no—
123C2×Dic11⋊C4—21no—
124C2×Dic11⋊C4—21no—
125C2×Dic11⋊C4—21no—
126C2×C4×Dic11—21no—
127C2×C4×Dic11—21no—
128C22×C11⋊C8C2311yescharacteristic
129C22×C11⋊C8C2311yescharacteristic
130C2×#4313—24no—
131C2×#4313C2314yes—
132C2×C8×D11—24no—
133C2×C8×D11C2314yes—
134#66951—28no—
135#66950—22no—
136#66950—22no—
137#66950C2314yes—
138#66950C2314yes—
139#66949—28no—
140#66949—28no—
141#66947—28no—
142#66945—22no—
143#66945—28no—
144#66945C2314yes—
145C4⋊C4×D11—22no—
146C4⋊C4×D11—22no—
147C4⋊C4×D11—22no—
148C4⋊C4×D11C2314yes—
149C4⋊C4×D11C2314yes—
150C4⋊C4×D11C2314yes—
151#66943—28no—
152C4×D44—28no—
153C4×D44D414yes—
154C4×D44C2314yes—
155#66923—28no—
156#66922—22no—
157#66922C2314yes—
158C4×Dic22—22no—
159C4×Dic22C2314yes—
160C11×#107C2314yes—
161C11×#106C2314yes—
162C11×C4⋊C8C2314yes—
163C11×#103C2314yes—
164C11×#103C2314yes—
165#66899C2314yes—
166(C2×D11)⋊C8C2314yes—
167(C2×D11)⋊C8C2314yes—
168#66881C2314yes—
169#66881C2314yes—
170#66880C2314yes—
171#66880C2314yes—
172#66874C2314yes—
173#66872C2314yes—
174#66872C2314yes—
175#66872C2314yes—
176#66871C2314yes—
177#66871C2314yes—
178#66867C2314yes—
179C2×#3344—111nomaximal, Sylow
180C23×D11C2×D411yescharacteristic
181C23×D11C2×D411yescharacteristic
182C2×Q8×C11—21no—
183C2×Q8×C11—22no—
184C2×Q8×C11—22no—
185C2×Q8×C11C2412yes—
186C22×C4×C11—21no—
187C22×C4×C11—21no—
188C22×C4×C11—21no—
189C22×C4×C11—21no—
190C22×C4×C11C2×D411yescharacteristic
191C22×C4×C11C2×D411yescharacteristic
192C22×C4×C11C2411yescharacteristic
193C22×Dic11—21no—
194C22×Dic11—21no—
195C22×Dic11—21no—
196C22×Dic11—21no—
197C22×Dic11C2×D411yescharacteristic
198C22×Dic11C2×D411yescharacteristic
199C2×D44—24no—
200C2×D44C2×D414yes—
201C2×C4×D11—24no—
202C2×C4×D11—24no—
203C2×C4×D11—24no—
204C2×C4×D11—22no—
205C2×C4×D11—22no—
206C2×C4×D11—22no—
207C2×C4×D11—22no—
208C2×C4×D11—44no—
209C2×C4×D11—82no—
210C2×C4×D11—82no—
211C2×C4×D11C2×D412yes—
212C2×C4×D11C2×D412yes—
213C2×C4×D11C2412yes—
214C2×C4×D11C2412yes—
215C2×Dic22—21no—
216C2×Dic22—24no—
217C2×Dic22—22no—
218C2×Dic22—22no—
219C2×Dic22—82no—
220C2×Dic22C2412yes—
221C2×C8×C11—22no—
222C2×C8×C11—22no—
223C2×C8×C11C2412yes—
224C2×C8×C11C2412yes—
225C11×C4⋊C4—24no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4—21no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—24no—
230C11×C4⋊C4—24no—
231C11×C4⋊C4C2412yes—
232C11×C4⋊C4C2412yes—
233C11×C4⋊C4C2412yes—
234C42×C11—24no—
235C42×C11C2×D412yes—
236C42×C11C2412yes—
237#4326—28no—
238(C2×D11)⋊C4—24no—
239(C2×D11)⋊C4—24no—
240(C2×D11)⋊C4—24no—
241(C2×D11)⋊C4—24no—
242(C2×D11)⋊C4—24no—
243(C2×D11)⋊C4C2×D414yes—
244(C2×D11)⋊C4C2×D414yes—
245C4⋊Dic11—24no—
246C4⋊Dic11—24no—
247C4⋊Dic11—21no—
248C4⋊Dic11—21no—
249C4⋊Dic11—21no—
250C4⋊Dic11—24no—
251C4⋊Dic11C2×D414yes—
252C4⋊Dic11C2412yes—
253C4⋊Dic11C2412yes—
254C4⋊Dic11C2412yes—
255Dic11⋊C4—24no—
256Dic11⋊C4—24no—
257Dic11⋊C4—24no—
258Dic11⋊C4—24no—
259Dic11⋊C4—24no—
260Dic11⋊C4—24no—
261C4×Dic11—24no—
262C4×Dic11—24no—
263C2×C11⋊C8—22no—
264C2×C11⋊C8#4114yes—
265C2×C11⋊C8C2412yes—
266C2×C11⋊C8C2412yes—
267#4313—28no—
268C8×D11—28no—
269C2×#554—111no—
270C2×#552—111no—
271#3344—1116no—
272C2×#501—111no—
273C2×#484—111no—
274C2×#485—111no—
275C2×#483—111no—
276C2×#483—111no—
277C2×#479D1111yescharacteristic, complemented
278C2×#475—111no—
279C2×#470—111no—
280C2×#467—111no—
281C2×#441—111no—
282C2×#435—111no—
283C2×#428—111no—
284C22×#106—111no—
285C23×C11C22×D411yescharacteristic
286C22×D11—22no—
287C22×D11—22no—
288C22×D11—22no—
289C22×D11—22no—
290C22×D11—22no—
291C22×D11#13714yes—
292C22×D11C22×D412yes—
293C22×D11C22×D412yes—
294Q8×C11—22no—
295Q8×C11—22no—
296Q8×C11—42no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—22no—
303C2×C4×C11—42no—
304C2×C4×C11—42no—
305C2×C4×C11—42no—
306C2×C4×C11—42no—
307C2×C4×C11C22×D412yes—
308C2×C4×C11C22×D412yes—
309C2×C4×C11C22×D411yescharacteristic
310C2×C4×C11C2×#4112yes—
311C2×C4×C112−1+412yes—
312C2×C4×C11C2511yescharacteristic
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—22no—
316C2×Dic11—22no—
317C2×Dic11—22no—
318C2×Dic11—22no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11—42no—
322C2×Dic11—42no—
323C2×Dic11C22×D412yes—
324C2×Dic11C22×D412yes—
325D44—28no—
326C4×D11—24no—
327C4×D11—24no—
328C4×D11—22no—
329C4×D11—22no—
330C4×D11—22no—
331C4×D11—22no—
332C4×D11—48no—
333C4×D11—84no—
334C4×D11—84no—
335Dic22—22no—
336Dic22—22no—
337Dic22—42no—
338Dic22—84no—
339C8×C11—22no—
340C8×C11—22no—
341C11⋊C8—22no—
342C11⋊C8C2×#4114yes—
343C22×Q16—111no—
344C22×M16—111no—
345C23×C8—111no—
346#554—118no—
347#554—224no—
348#552—118no—
349#552—224no—
350C2×C4⋊Q8—111no—
351C2×#126—221no—
352C2×#125—221no—
353C2×#125—221no—
354C2×#125C2×D1111yescharacteristic
355C2×#123—221no—
356C2×C22⋊Q8—111no—
357C2×C22⋊Q8—111no—
358C2×C22⋊Q8—111no—
359C2×C22⋊Q8—111no—
360C2×C22⋊Q8—221no—
361C2×C22⋊Q8—221no—
362C2×C4×Q8—111no—
363C2×C4×Q8C2×D1111yescharacteristic
364C2×C4×D4—111no—
365C2×C4×D4—221no—
366C2×#117—111no—
367C2×#117—221no—
368C22×C4⋊C4—111no—
369C22×C4⋊C4—111no—
370C22×C4⋊C4—111no—
371#501—118no—
372#485—118no—
373#484—118no—
374#483—118no—
375#483—118no—
376#479C2×D1118yescomplemented
377#475—118no—
378#470—118no—
379#467—118no—
380#441—118no—
381#435—118no—
382#428—118no—
383C2×#107—111no—
384C2×#107—111no—
385C2×#107C2×D1111yescharacteristic
386C2×#106—111no—
387C2×#106—111no—
388C2×#106—111no—
389C2×#106—111no—
390C2×#106—111no—
391C2×#106—118no—
392C2×#106C2×D1111yescharacteristic
393C2×C4⋊C8C2×D1111yescharacteristic
394C2×#103—111no—
395C2×#103—111no—
396C2×#103—111no—
397C2×#103—111no—
398C2×#103C2×D1111yescharacteristic
399C2×#103C2×D1111yescharacteristic
400C2×C22⋊C8—111no—
401C2×C22⋊C8—111no—
402C2×#97—111no—
403C22×C11#54712yes—
404C22×C11C2×#13712yes—
405C22×C11#57712yes—
406C22×C11C23×D411yescharacteristic
407C2×D11—28no—
408C2×D11—22no—
409C2×D11—22no—
410C2×D11—22no—
411C2×D11—22no—
412C2×D11—22no—
413C2×D11—44no—
414C2×D11C2×#13714yes—
415C4×C11—22no—
416C4×C11—22no—
417C4×C11—42no—
418C4×C11—42no—
419C4×C11—42no—
420C4×C11—42no—
421C4×C11#54712yes—
422C4×C11C22×#4111yescharacteristic
423C4×C11C2×2−1+411yescharacteristic
424Dic11—22no—
425Dic11—22no—
426Dic11—42no—
427Dic11—42no—
428Dic11—42no—
429Dic11—42no—
430C22×Q8—111no—
431C22×Q8—221no—
432C22×Q8C22×D1111yescharacteristic
433C22×D4—111no—
434C23×C4—111no—
435C23×C4—111no—
436C23×C4—221no—
437C23×C4—221no—
438C23×C4—221no—
439C2×Q16—114no—
440C2×Q16—224no—
441C2×M16—114no—
442C2×M16—224no—
443C22×C8—111no—
444C22×C8—111no—
445C22×C8—114no—
446C22×C8—224no—
447C22×C8C22×D1111yescharacteristic
448C22×C8C22×D1111yescharacteristic
449C4⋊Q8—114no—
450C4⋊Q8—222no—
451#126—228no—
452#125—22no—
453#125—228no—
454#125—228no—
455#125C22×D1114yes—
456#123—228no—
457C22⋊Q8—114no—
458C22⋊Q8—114no—
459C22⋊Q8—114no—
460C22⋊Q8—114no—
461C22⋊Q8—228no—
462C22⋊Q8—228no—
463C22⋊Q8—222no—
464C22⋊Q8—222no—
465C22⋊Q8—222no—
466C22⋊Q8—222no—
467C4×Q8—22no—
468C4×Q8—114no—
469C4×Q8—222no—
470C4×Q8C22×D1114yes—
471C4×D4—114no—
472C4×D4—114no—
473C4×D4—228no—
474#117—114no—
475#117—228no—
476#117—222no—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—111no—
481C2×C4⋊C4—111no—
482C2×C4⋊C4—111no—
483C2×C4⋊C4—111no—
484C2×C4⋊C4—114no—
485C2×C4⋊C4—114no—
486C2×C4⋊C4—114no—
487C2×C4⋊C4—222no—
488C2×C4⋊C4—222no—
489C2×C4⋊C4—222no—
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—221no—
499C2×C4⋊C4C22×D1111yescharacteristic
500C2×C4⋊C4C22×D1111yescharacteristic
501C2×C4⋊C4C22×D1111yescharacteristic
502C2×C22⋊C4—111no—
503C2×C22⋊C4—111no—
504C2×C22⋊C4—221no—
505C2×C22⋊C4—221no—
506C2×C22⋊C4—221no—
507C2×C22⋊C4—221no—
508C2×C22⋊C4—221no—
509C2×C42—21no—
510C2×C42—221no—
511C2×C42—221no—
512C2×C42C22×D1111yescharacteristic
513#107—114no—
514#107—114no—
515#107C22×D1114yes—
516#106—114no—
517#106—114no—
518#106—114no—
519#106—114no—
520#106—114no—
521#106C22×D1114yes—
522C4⋊C8C22×D1114yes—
523#103—114no—
524#103—114no—
525#103—114no—
526#103—114no—
527#103C22×D1114yes—
528#103C22×D1114yes—
529C22⋊C8—114no—
530C22⋊C8—114no—
531#97—114no—
532C2×C11#334414yescomplemented
533C2×C11C2×#54711yescharacteristic
534C2×C11C22×#13711yescharacteristic
535C2×C11C2×#57711yescharacteristic
536D11—24no—
537D11—42no—
538C24—111no—
539C24—111no—
540C2×Q8—21no—
541C2×Q8—22no—
542C2×Q8—22no—
543C2×Q8—112no—
544C2×Q8—221no—
545C2×Q8—224no—
546C2×Q8—222no—
547C2×Q8—222no—
548C2×Q8—882no—
549C2×Q8C23×D1112yes—
550C2×D4—114no—
551C2×D4—224no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—111no—
557C22×C4—111no—
558C22×C4—112no—
559C22×C4—112no—
560C22×C4—112no—
561C22×C4—112no—
562C22×C4—224no—
563C22×C4—224no—
564C22×C4—224no—
565C22×C4—222no—
566C22×C4—222no—
567C22×C4—222no—
568C22×C4—222no—
569C22×C4—221no—
570C22×C4—221no—
571C22×C4—221no—
572C22×C4—221no—
573C22×C4—444no—
574C22×C4—882no—
575C22×C4—882no—
576C22×C4D4×D1111yescharacteristic
577C22×C4D4×D1111yescharacteristic
578C22×C4C23×D1111yescharacteristic
579Q16—228no—
580M16—228no—
581C2×C8—22no—
582C2×C8—22no—
583C2×C8—114no—
584C2×C8—112no—
585C2×C8—112no—
586C2×C8—228no—
587C2×C8—222no—
588C2×C8C23×D1112yes—
589C2×C8C23×D1112yes—
590C4⋊C4—24no—
591C4⋊C4—24no—
592C4⋊C4—24no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—114no—
597C4⋊C4—112no—
598C4⋊C4—112no—
599C4⋊C4—112no—
600C4⋊C4—224no—
601C4⋊C4—224no—
602C4⋊C4—224no—
603C4⋊C4—224no—
604C4⋊C4—224no—
605C4⋊C4—224no—
606C4⋊C4—224no—
607C4⋊C4—221no—
608C4⋊C4—221no—
609C4⋊C4—221no—
610C4⋊C4—224no—
611C4⋊C4—224no—
612C4⋊C4C23×D1112yes—
613C4⋊C4C23×D1112yes—
614C4⋊C4C23×D1112yes—
615C22⋊C4—114no—
616C22⋊C4—114no—
617C22⋊C4—224no—
618C22⋊C4—224no—
619C22⋊C4—224no—
620C22⋊C4—224no—
621C22⋊C4—224no—
622C42—24no—
623C42—224no—
624C42—224no—
625C42D4×D1112yes—
626C42C23×D1112yes—
627C11C2×#334411yescharacteristic, complemented, Sylow
628C23—114no—
629C23—112no—
630C23—112no—
631C23—222no—
632C23—222no—
633C23—222no—
634C23—222no—
635C23—222no—
636C23C2×D4×D1111yescharacteristic
637Q8—22no—
638Q8—22no—
639Q8—42no—
640Q8—222no—
641Q8—222no—
642Q8—442no—
643Q8—884no—
644D4—228no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—112no—
656C2×C4—112no—
657C2×C4—222no—
658C2×C4—222no—
659C2×C4—224no—
660C2×C4—224no—
661C2×C4—222no—
662C2×C4—222no—
663C2×C4—222no—
664C2×C4—222no—
665C2×C4—222no—
666C2×C4—222no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—448no—
670C2×C4—442no—
671C2×C4—442no—
672C2×C4—442no—
673C2×C4—442no—
674C2×C4—884no—
675C2×C4—884no—
676C2×C4C2×D4×D1112yes—
677C2×C4C2×D4×D1112yes—
678C2×C4C2×D4×D1111yescharacteristic
679C2×C4#6704012yes—
680C2×C4#41×D1112yes—
681C2×C4C24×D1111yescharacteristic
682C8—22no—
683C8—22no—
684C8—114no—
685C8—222no—
686C22—114no—
687C22—222no—
688C22—222no—
689C22—228no—
690C22—222no—
691C22—222no—
692C22—222no—
693C22—444no—
694C22#1062316212yes—
695C22#1062330112yes—
696C22D11×#13712yes—
697C22C22×D4×D1111yescharacteristic
698C4—22no—
699C4—22no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—42no—
704C4—222no—
705C4—222no—
706C4—442no—
707C4—442no—
708C4—442no—
709C4—442no—
710C4#1062316212yes—
711C4C2×#6704011yescharacteristic
712C4C2×#41×D1111yescharacteristic
713C2—224no—
714C2—442no—
715C2#1308107814yesdirect product factor
716C2C2×#1062316211yescharacteristic
717C2C2×D11×#13711yescharacteristic
718C2C2×#1062330111yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#479C2
socleC23×C11C22×D4
prime radicalC22×D44D4
hypercenterC2×#479D11
hypocenterC11C2×#3344
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. #13081078C2direct (N × H)
4. C2×#10622678C2semidirect
5. C2×#10622497C2semidirect
6. C2×#10622428C2semidirect
7. C2×#10622475C2semidirect
8. C2×#10622418C2semidirect
9. C2×#10622464C2semidirect
10. C2×#10622429C2semidirect
11. C2×#10622426C2semidirect
12. C2×#10622643C2semidirect
14. C2×#10622494C2semidirect
15. C2×D11×#106C2semidirect
16. C2×C11×#479C2semidirect
45. C11×#479C22semidirect
58. #10622678C22semidirect
59. #10622643C22semidirect
67. #10622497C22semidirect
68. #10622494C22semidirect
69. #10622475C22semidirect
70. D11×#106C22semidirect
71. #10622464C22semidirect
73. #10622429C22semidirect
74. #10622428C22semidirect
75. #10622426C22semidirect
76. #10622418C22semidirect
277. C2×#479D11semidirect
376. #479C2×D11semidirect
532. C2×C11#3344semidirect
627. C11C2×#3344semidirect
715. C2#13081078direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106231102
C2×#106232252
#130810782
C2×#106226782
C2×#106224972
C2×#106224282
C2×#106224752
C2×#106224182
C2×#106224642
C2×#106224292
C2×#106224262
C2×#106226432
C2×#106224492
C2×#106224942
C2×D11×#1062
C2×C11×#4792
C2×#334411