Finite Group Databasebeta

← C2×#13073531 #14925512

Subgroups — C2×#13073531 #14925512

Order 2816.

4782 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66948C211yesmaximal, characteristic, complemented
2C22×#66983C211yesmaximal, characteristic, complemented
3C22×#66937C212yesmaximal, complemented
4C22×#66946C211yesmaximal, characteristic, complemented
5C22×C4×C22⋊D11C211yesmaximal, characteristic, complemented
6#13073531C2116yesmaximal, direct product factor
7C2×#10622285C212yesmaximal, complemented
8C2×#10622572C212yesmaximal, complemented
9C2×#10622589C211yesmaximal, characteristic, complemented
10C2×#10622280C212yesmaximal, complemented
11C2×#10622600C211yesmaximal, characteristic, complemented
12C2×C11×#380C211yesmaximal, characteristic, complemented
13C24×C4×C11C2211yescharacteristic
14C23×C22⋊D11C2212yes—
15C23×C22⋊D11C2211yescharacteristic
16C23×D44C2212yes—
17C23×D44C2211yescharacteristic
18C23×C4×D11C2211yescharacteristic
19C23×C4×D11C2212yes—
20C22×C11×C4⋊C4C2211yescharacteristic
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C11×C22⋊C4C2212yes—
23C22×C22⋊Dic11C2211yescharacteristic
24C2×#66983—28no—
25C2×#66983C2218yescomplemented
26C2×C4×C22⋊D11—28no—
27C2×C4×C22⋊D11C2218yescomplemented
28C22×(C2×D11)⋊C4C2212yes—
29C22×(C2×D11)⋊C4C2212yes—
30C22×(C2×D11)⋊C4C2212yes—
31C22×(C2×D11)⋊C4C2211yescharacteristic
32C22×(C2×D11)⋊C4C2212yes—
33C22×C4⋊Dic11C2211yescharacteristic
34C22×Dic11⋊C4C2211yescharacteristic
35C22×Dic11⋊C4C2212yes—
36C22×Dic11⋊C4C2212yes—
37C22×C4×Dic11C2211yescharacteristic
38C2×#66948—28no—
39C2×#66948C2218yescomplemented
40C2×#66946—28no—
41C2×#66946C2218yescomplemented
42C2×#66937—216no—
43C2×#66937C22116yescomplemented
44C11×#380C2218yescomplemented
45C2×C11×#95C2212yes—
46C2×C11⋊#95C2212yes—
47#10622600C2218yescomplemented
48#10622589C2218yescomplemented
49#10622572C22116yescomplemented
50#10622285C22116yescomplemented
51#10622280C22116yescomplemented
52C25×C11C2311yescharacteristic
53C24×D11C2312yes—
54C24×D11C2311yescharacteristic
55C23×C4×C11—24no—
56C23×C4×C11—24no—
57C23×C4×C11—24no—
58C23×C4×C11C2312yes—
59C23×C4×C11C2311yescharacteristic
60C23×C4×C11C2312yes—
61C23×C4×C11C2314yes—
62C23×C4×C11C2311yescharacteristic
63C22×C22⋊D11—28no—
64C22×C22⋊D11—28no—
65C22×C22⋊D11—24no—
66C22×C22⋊D11—24no—
67C22×C22⋊D11—44no—
68C22×C22⋊D11D418yescomplemented
69C22×C22⋊D11C2318yes—
70C22×C22⋊D11C2314yes—
71C23×Dic11C2312yes—
72C23×Dic11C2311yescharacteristic
73C23×Dic11C2311yescharacteristic
74C23×Dic11C2311yescharacteristic
75C22×D44—24no—
76C22×D44—24no—
77C22×D44—28no—
78C22×D44—28no—
79C22×D44—44no—
80C22×D44D418yescomplemented
81C22×D44C2318yes—
82C22×D44C2314yes—
83C22×C4×D11—24no—
84C22×C4×D11—24no—
85C22×C4×D11—24no—
86C22×C4×D11—28no—
87C22×C4×D11—28no—
88C22×C4×D11—28no—
89C22×C4×D11C2318yes—
90C22×C4×D11C2314yes—
91C2×C11×C4⋊C4—24no—
92C2×C11×C4⋊C4—24no—
93C2×C11×C4⋊C4C2314yes—
94C2×C11×C4⋊C4C2314yes—
95C2×C11×C22⋊C4—28no—
96C2×C11×C22⋊C4C2318yes—
97C2×C22⋊Dic11—24no—
98C2×C22⋊Dic11C2314yes—
99#66983—232no—
100C4×C22⋊D11—232no—
101C2×(C2×D11)⋊C4—28no—
102C2×(C2×D11)⋊C4—28no—
103C2×(C2×D11)⋊C4—28no—
104C2×(C2×D11)⋊C4—28no—
105C2×(C2×D11)⋊C4—24no—
106C2×(C2×D11)⋊C4C2318yes—
107C2×(C2×D11)⋊C4C2318yes—
108C2×(C2×D11)⋊C4C2318yes—
109C2×(C2×D11)⋊C4C2318yes—
110C2×(C2×D11)⋊C4C2314yes—
111C2×C4⋊Dic11—24no—
112C2×C4⋊Dic11C2314yes—
113C2×Dic11⋊C4—28no—
114C2×Dic11⋊C4—24no—
115C2×Dic11⋊C4—44no—
116C2×Dic11⋊C4C2318yes—
117C2×Dic11⋊C4C2314yes—
118C2×Dic11⋊C4C2318yes—
119C2×C4×Dic11D418yescomplemented
120C2×C4×Dic11C2314yes—
121#66948—232no—
122#66946—232no—
123#66937—264no—
124C11×#95C2318yes—
125C11⋊#95C2318yes—
126C2×#2537—111nomaximal, Sylow
127C24×C11—22no—
128C24×C11—22no—
129C24×C11—22no—
130C24×C11—22no—
131C24×C11—22no—
132C24×C11—22no—
133C24×C11C2×D414yes—
134C24×C11C2412yes—
135C24×C11C2411yescharacteristic
136C23×D11—24no—
137C23×D11—22no—
138C23×D11—22no—
139C23×D11—24no—
140C23×D11—22no—
141C23×D11—24no—
142C23×D11—24no—
143C23×D11—22no—
144C23×D11—22no—
145C23×D11—24no—
146C23×D11—22no—
147C23×D11—24no—
148C23×D11C2×D414yes—
149C23×D11C2×D418yes—
150C23×D11C2414yes—
151C23×D11C2412yes—
152C22×C4×C11—22no—
153C22×C4×C11—24no—
154C22×C4×C11—22no—
155C22×C4×C11—24no—
156C22×C4×C11—24no—
157C22×C4×C11—24no—
158C22×C4×C11—24no—
159C22×C4×C11—22no—
160C22×C4×C11—24no—
161C22×C4×C11—28no—
162C22×C4×C11—28no—
163C22×C4×C11—28no—
164C22×C4×C11—416no—
165C22×C4×C11C2×D414yes—
166C22×C4×C11C2×D414yes—
167C22×C4×C11#4114yes—
168C22×C4×C11C2414yes—
169C22×C4×C11C2412yes—
170C22×C4×C11C2414yes—
171C22×C4×C11C2412yes—
172C2×C22⋊D11—232no—
173C2×C22⋊D11—28no—
174C2×C22⋊D11—28no—
175C2×C22⋊D11—216no—
176C2×C22⋊D11—216no—
177C2×C22⋊D11—48no—
178C2×C22⋊D11—432no—
179C2×C22⋊D11C2×D4116yescomplemented
180C22×Dic11—24no—
181C22×Dic11—22no—
182C22×Dic11—24no—
183C22×Dic11—22no—
184C22×Dic11—22no—
185C22×Dic11—22no—
186C22×Dic11—24no—
187C22×Dic11—22no—
188C22×Dic11C2×D414yes—
189C22×Dic11C2×D414yes—
190C22×Dic11C2×D414yes—
191C22×Dic11#4114yes—
192C22×Dic11C2412yes—
193C22×Dic11C2414yes—
194C22×Dic11C2412yes—
195C22×Dic11C2412yes—
196C2×D44—216no—
197C2×D44—216no—
198C2×D44—232no—
199C2×D44—28no—
200C2×D44—28no—
201C2×D44—48no—
202C2×D44—432no—
203C2×D44C2×D4116yescomplemented
204C2×C4×D11—216no—
205C2×C4×D11—216no—
206C2×C4×D11—216no—
207C2×C4×D11—28no—
208C2×C4×D11—28no—
209C2×C4×D11—28no—
210C2×C4×D11—432no—
211C2×C4×D11—416no—
212C11×C4⋊C4—28no—
213C11×C4⋊C4—28no—
214C11×C22⋊C4—216no—
215C22⋊Dic11—28no—
216(C2×D11)⋊C4—216no—
217(C2×D11)⋊C4—28no—
218(C2×D11)⋊C4—216no—
219(C2×D11)⋊C4—216no—
220(C2×D11)⋊C4—216no—
221C4⋊Dic11—28no—
222Dic11⋊C4—216no—
223Dic11⋊C4—28no—
224Dic11⋊C4—48no—
225C4×Dic11C2×D4116yescomplemented
226C22×#121—111no—
227C22×#121—111no—
228C22×#121—112no—
229C22×C4×D4—111no—
230C22×C4×D4—111no—
231#2537—1116no—
232C2×#394—112no—
233C2×#394—112no—
234C2×#384—111no—
235C2×#380—112no—
236C2×#380—111no—
237C2×#380D1111yescharacteristic, complemented
238C23×C11—28no—
239C23×C11—28no—
240C23×C11—28no—
241C23×C11—22no—
242C23×C11—22no—
243C23×C11—22no—
244C23×C11—22no—
245C23×C11—22no—
246C23×C11—22no—
247C23×C11—44no—
248C23×C11—44no—
249C23×C11—44no—
250C23×C11—44no—
251C23×C11C22×D414yes—
252C23×C11C22×D412yes—
253C23×C11C22×D412yes—
254C23×C11C22×D412yes—
255C23×C11C2×#4112yes—
256C23×C11C2×#4112yes—
257C23×C11H(5,𝔽2)12yes—
258C23×C112−1+412yes—
259C23×C11C2511yescharacteristic
260C22×D11—216no—
261C22×D11—28no—
262C22×D11—28no—
263C22×D11—216no—
264C22×D11—28no—
265C22×D11—216no—
266C22×D11—24no—
267C22×D11—22no—
268C22×D11—22no—
269C22×D11—24no—
270C22×D11—22no—
271C22×D11—24no—
272C22×D11—24no—
273C22×D11—22no—
274C22×D11—22no—
275C22×D11—24no—
276C22×D11—22no—
277C22×D11—24no—
278C22×D11—44no—
279C22×D11—48no—
280C22×D11—48no—
281C22×D11—44no—
282C22×D11—48no—
283C22×D11—44no—
284C22×D11—48no—
285C22×D11—44no—
286C22×D11C22×D414yes—
287C22×D11C22×D418yes—
288C2×C4×C11—22no—
289C2×C4×C11—24no—
290C2×C4×C11—22no—
291C2×C4×C11—24no—
292C2×C4×C11—24no—
293C2×C4×C11—24no—
294C2×C4×C11—24no—
295C2×C4×C11—22no—
296C2×C4×C11—24no—
297C2×C4×C11—48no—
298C2×C4×C11—44no—
299C2×C4×C11—48no—
300C2×C4×C11—416no—
301C2×C4×C11#121116yescomplemented
302C2×C4×C11C22×D414yes—
303C2×C4×C11C22×D414yes—
304C2×C4×C11C2×#4114yes—
305C22⋊D11—232no—
306C22⋊D11—432no—
307C2×Dic11—28no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—24no—
311C2×Dic11—22no—
312C2×Dic11—24no—
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—24no—
316C2×Dic11—44no—
317C2×Dic11—48no—
318C2×Dic11#121116yescomplemented
319C2×Dic11C22×D414yes—
320C2×Dic11C22×D414yes—
321C2×Dic11C22×D414yes—
322C2×Dic11C2×#4114yes—
323D44—232no—
324D44—432no—
325C4×D11—416no—
326C4×D11—432no—
327C23×D4—111no—
328C23×D4—112no—
329C23×D4—111no—
330C23×D4—112no—
331C24×C4—112no—
332C24×C4—111no—
333C24×C4C2×D1111yescharacteristic
334C2×#121—118no—
335C2×#121—118no—
336C2×#121—1116no—
337C2×#121—2216no—
338C2×#121—228no—
339C2×#121—228no—
340C2×C4×D4—118no—
341C2×C4×D4—118no—
342C2×C4×D4—228no—
343C2×C4×D4—228no—
344C22×C4⋊C4—111no—
345C22×C4⋊C4—112no—
346C22×C4⋊C4—111no—
347C22×C4⋊C4—112no—
348C22×C4⋊C4C2×D1111yescharacteristic
349C22×C4⋊C4C2×D1111yescharacteristic
350C22×C22⋊C4—111no—
351C22×C22⋊C4—111no—
352C22×C22⋊C4—112no—
353C22×C22⋊C4—112no—
354C22×C22⋊C4—112no—
355C22×C22⋊C4—112no—
356C22×C22⋊C4C2×D1112yes—
357C22×C42—111no—
358#394—1116no—
359#394—1116no—
360#384—118no—
361#380—118no—
362#380—1116no—
363#380C2×D1118yescomplemented
364C2×#95—112no—
365C2×#95C2×D1112yes—
366C22×C11—24no—
367C22×C11—24no—
368C22×C11—24no—
369C22×C11—42no—
370C22×C11—42no—
371C22×C11—42no—
372C22×C11—42no—
373C22×C11—416no—
374C22×C11C2×#12114yes—
375C22×C11C2×#12114yes—
376C22×C11#53714yes—
377C22×C11D4214yes—
378C22×C11#54714yes—
379C22×C11#54714yes—
380C22×C11#55514yes—
381C22×C11C23×D411yescharacteristic
382C22×C11C23×D411yescharacteristic
383C22×C11C23×D411yescharacteristic
384C22×C11C22×#4111yescharacteristic
385C22×C11C22×#4111yescharacteristic
386C22×C11C2×H(5,𝔽2)11yescharacteristic
387C22×C11C2×2−1+411yescharacteristic
388C2×D11—28no—
389C2×D11—24no—
390C2×D11—24no—
391C2×D11—28no—
392C2×D11—24no—
393C2×D11—28no—
394C2×D11—44no—
395C2×D11—42no—
396C2×D11—44no—
397C2×D11—42no—
398C2×D11—44no—
399C2×D11—42no—
400C2×D11—44no—
401C2×D11—42no—
402C2×D11—432no—
403C2×D11—416no—
404C4×C11—42no—
405C4×C11—44no—
406C4×C11—44no—
407C4×C11C2×#12118yescomplemented
408Dic11—24no—
409Dic11—42no—
410Dic11—44no—
411Dic11C2×#12118yescomplemented
412C25—111no—
413C25—112no—
414C25C22×D1111yescharacteristic
415C22×D4—118no—
416C22×D4—114no—
417C22×D4—118no—
418C22×D4—118no—
419C22×D4—114no—
420C22×D4—118no—
421C22×D4—228no—
422C22×D4—228no—
423C22×D4—224no—
424C22×D4—224no—
425C22×D4—228no—
426C22×D4—228no—
427C22×D4—224no—
428C22×D4—224no—
429C22×D4—444no—
430C22×D4—444no—
431C23×C4—24no—
432C23×C4—24no—
433C23×C4—24no—
434C23×C4—111no—
435C23×C4—111no—
436C23×C4—111no—
437C23×C4—112no—
438C23×C4—118no—
439C23×C4—114no—
440C23×C4—228no—
441C23×C4—228no—
442C23×C4—228no—
443C23×C4—224no—
444C23×C4—224no—
445C23×C4—224no—
446C23×C4C22×D1114yes—
447C23×C4C22×D1111yescharacteristic
448C23×C4C22×D1112yes—
449C23×C4C22×D1112yes—
450C23×C4C22×D1111yescharacteristic
451#121—2264no—
452#121—2232no—
453#121—2232no—
454C4×D4—2232no—
455C4×D4—2232no—
456C2×C4⋊C4—24no—
457C2×C4⋊C4—24no—
458C2×C4⋊C4—114no—
459C2×C4⋊C4—118no—
460C2×C4⋊C4—114no—
461C2×C4⋊C4—118no—
462C2×C4⋊C4—224no—
463C2×C4⋊C4—228no—
464C2×C4⋊C4—224no—
465C2×C4⋊C4—444no—
466C2×C4⋊C4C22×D1114yes—
467C2×C4⋊C4C22×D1114yes—
468C2×C22⋊C4—28no—
469C2×C22⋊C4—114no—
470C2×C22⋊C4—118no—
471C2×C22⋊C4—114no—
472C2×C22⋊C4—118no—
473C2×C22⋊C4—118no—
474C2×C22⋊C4—118no—
475C2×C22⋊C4—228no—
476C2×C22⋊C4—224no—
477C2×C22⋊C4—228no—
478C2×C22⋊C4—228no—
479C2×C22⋊C4—228no—
480C2×C22⋊C4—224no—
481C2×C22⋊C4C22×D1118yes—
482C2×C42—118no—
483C2×C42—114no—
484#95—118no—
485#95C22×D1118yes—
486C2×C11—44no—
487C2×C11#253718yescomplemented
488C2×C11C22×#12111yescharacteristic
489C2×C11C22×#12111yescharacteristic
490C2×C11C2×#53711yescharacteristic
491C2×C11C2×D4211yescharacteristic
492C2×C11C2×#54711yescharacteristic
493C2×C11C2×#54711yescharacteristic
494C2×C11C2×#55511yescharacteristic
495D11—48no—
496D11—44no—
497C24—22no—
498C24—22no—
499C24—22no—
500C24—22no—
501C24—22no—
502C24—22no—
503C24—118no—
504C24—114no—
505C24—112no—
506C24—114no—
507C24—222no—
508C24—224no—
509C24—224no—
510C24—222no—
511C24—222no—
512C24—224no—
513C24—222no—
514C24—224no—
515C24—224no—
516C24—222no—
517C24—222no—
518C24—224no—
519C24D4×D1114yes—
520C24C23×D1112yes—
521C24C23×D1111yescharacteristic
522C2×D4—1116no—
523C2×D4—1116no—
524C2×D4—2216no—
525C2×D4—2216no—
526C2×D4—228no—
527C2×D4—2232no—
528C2×D4—228no—
529C2×D4—2216no—
530C2×D4—2216no—
531C2×D4—2232no—
532C2×D4—228no—
533C2×D4—228no—
534C2×D4—448no—
535C2×D4—4432no—
536C2×D4—448no—
537C2×D4—4432no—
538C22×C4—22no—
539C22×C4—24no—
540C22×C4—24no—
541C22×C4—22no—
542C22×C4—24no—
543C22×C4—24no—
544C22×C4—22no—
545C22×C4—24no—
546C22×C4—24no—
547C22×C4—28no—
548C22×C4—28no—
549C22×C4—28no—
550C22×C4—416no—
551C22×C4—114no—
552C22×C4—114no—
553C22×C4—114no—
554C22×C4—112no—
555C22×C4—114no—
556C22×C4—112no—
557C22×C4—112no—
558C22×C4—114no—
559C22×C4—2216no—
560C22×C4—2216no—
561C22×C4—2216no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—222no—
565C22×C4—222no—
566C22×C4—222no—
567C22×C4—224no—
568C22×C4—224no—
569C22×C4—224no—
570C22×C4—228no—
571C22×C4—228no—
572C22×C4—228no—
573C22×C4—4432no—
574C22×C4—4416no—
575C22×C4#433914yes—
576C22×C4D4×D1114yes—
577C22×C4D4×D1114yes—
578C22×C4C23×D1114yes—
579C22×C4C23×D1112yes—
580C22×C4C23×D1114yes—
581C22×C4C23×D1112yes—
582C4⋊C4—28no—
583C4⋊C4—28no—
584C4⋊C4—228no—
585C4⋊C4—2216no—
586C4⋊C4—228no—
587C4⋊C4—448no—
588C22⋊C4—216no—
589C22⋊C4—2216no—
590C22⋊C4—228no—
591C22⋊C4—2216no—
592C22⋊C4—2216no—
593C22⋊C4—2216no—
594C22⋊C4—228no—
595C42—1116no—
596C11C2×#253711yescharacteristic, complemented, Sylow
597C23—28no—
598C23—28no—
599C23—28no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—114no—
611C23—118no—
612C23—2216no—
613C23—228no—
614C23—228no—
615C23—228no—
616C23—2216no—
617C23—2216no—
618C23—222no—
619C23—224no—
620C23—222no—
621C23—224no—
622C23—224no—
623C23—222no—
624C23—222no—
625C23—224no—
626C23—224no—
627C23—222no—
628C23—222no—
629C23—224no—
630C23—444no—
631C23—448no—
632C23—444no—
633C23—448no—
634C23—448no—
635C23—448no—
636C23—444no—
637C23—444no—
638C23C2×#433912yes—
639C23C2×D4×D1114yes—
640C23C2×D4×D1112yes—
641C23C2×D4×D1112yes—
642C23C2×D4×D1112yes—
643C23#6704012yes—
644C23#41×D1112yes—
645C23#6704212yes—
646C23C24×D1111yescharacteristic
647D4—2232no—
648D4—2232no—
649D4—4432no—
650D4—4432no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—44no—
661C2×C4—48no—
662C2×C4—48no—
663C2×C4—416no—
664C2×C4—1116no—
665C2×C4—114no—
666C2×C4—114no—
667C2×C4—114no—
668C2×C4—114no—
669C2×C4—228no—
670C2×C4—222no—
671C2×C4—222no—
672C2×C4—222no—
673C2×C4—222no—
674C2×C4—222no—
675C2×C4—224no—
676C2×C4—224no—
677C2×C4—224no—
678C2×C4—4432no—
679C2×C4—444no—
680C2×C4—448no—
681C2×C4—4416no—
682C2×C4#66937116yescomplemented
683C2×C4C2×#433914yes—
684C2×C4C2×D4×D1114yes—
685C2×C4C2×D4×D1114yes—
686C22—24no—
687C22—24no—
688C22—24no—
689C22—42no—
690C22—42no—
691C22—416no—
692C22—42no—
693C22—42no—
694C22—224no—
695C22—228no—
696C22—224no—
697C22—228no—
698C22—224no—
699C22—228no—
700C22—442no—
701C22—444no—
702C22—442no—
703C22—444no—
704C22—4432no—
705C22—4416no—
706C22—444no—
707C22—442no—
708C22—444no—
709C22—442no—
710C22C2×#6693714yes—
711C22#1062303814yes—
712C22#1062306314yes—
713C22D11×#12114yes—
714C22#1062314014yes—
715C22#1062316014yes—
716C22#1062316214yes—
717C22C22×#433911yescharacteristic
718C22C22×D4×D1111yescharacteristic
719C22C22×D4×D1111yescharacteristic
720C22C22×D4×D1111yescharacteristic
721C22C2×#6704011yescharacteristic
722C22C2×#41×D1111yescharacteristic
723C22C2×#6704211yescharacteristic
724C4—44no—
725C4—44no—
726C4—42no—
727C4—118no—
728C4—224no—
729C4—444no—
730C4—442no—
731C4C2×#6693718yescomplemented
732C2—44no—
733C2—444no—
734C2—448no—
735C2#1307353118yesdirect product factor
736C2C2×D11×#12111yescharacteristic
737C2C22×#6693711yescharacteristic
738C2C2×#1062316011yescharacteristic
739C2C2×#1062314011yescharacteristic
740C2C2×#1062303811yescharacteristic
741C2C2×#1062316211yescharacteristic
742C2C2×#1062306311yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#380C2
socleC24×C11C24
hypercenterC2×#380D11
hypocenterC11C2×#2537
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
1. C22×#66948C2semidirect
2. C22×#66983C2semidirect
3. C22×#66937C2semidirect
4. C22×#66946C2semidirect
5. C22×C4×C22⋊D11C2semidirect
6. #13073531C2direct (N × H)
7. C2×#10622285C2semidirect
8. C2×#10622572C2semidirect
9. C2×#10622589C2semidirect
10. C2×#10622280C2semidirect
11. C2×#10622600C2semidirect
12. C2×C11×#380C2semidirect
25. C2×#66983C22semidirect
27. C2×C4×C22⋊D11C22semidirect
39. C2×#66948C22semidirect
41. C2×#66946C22semidirect
43. C2×#66937C22semidirect
44. C11×#380C22semidirect
47. #10622600C22semidirect
48. #10622589C22semidirect
49. #10622572C22semidirect
50. #10622285C22semidirect
51. #10622280C22semidirect
68. C22×C22⋊D11D4semidirect
80. C22×D44D4semidirect
119. C2×C4×Dic11D4semidirect
179. C2×C22⋊D11C2×D4semidirect
203. C2×D44C2×D4semidirect
225. C4×Dic11C2×D4semidirect
237. C2×#380D11semidirect
301. C2×C4×C11#121semidirect
318. C2×Dic11#121semidirect
363. #380C2×D11semidirect
407. C4×C11C2×#121semidirect
411. Dic11C2×#121semidirect
487. C2×C11#2537semidirect
596. C11C2×#2537semidirect
682. C2×C4#66937semidirect
731. C4C2×#66937semidirect
735. C2#13073531direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669482
C22×#669832
C22×#669372
C22×#669462
C22×C4×C22⋊D112
#130735312
C2×#106222852
C2×#106225722
C2×#106225892
C2×#106222802
C2×#106226002
C2×C11×#3802
C2×#253711