Finite Group Databasebeta

← C2×#13073544 #14923803

Subgroups — C2×#13073544 #14923803

Order 2816.

5726 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66939C211yesmaximal, characteristic, complemented
2C22×#66988C211yesmaximal, characteristic, complemented
3C22×#66992C211yesmaximal, characteristic, complemented
4C22×#67006C211yesmaximal, characteristic, complemented
5C23×C22⋊Dic11C211yesmaximal, characteristic, complemented
6#13073544C2116yesmaximal, direct product factor
7C2×#10622562C212yesmaximal, complemented
8C2×#10622836C212yesmaximal, complemented
9C2×#10622834C212yesmaximal, complemented
10C2×#10622570C212yesmaximal, complemented
11C2×C22⋊C4×Dic11C211yesmaximal, characteristic, complemented
12C22×C11×#120C211yesmaximal, characteristic, complemented
13C26×C11C2211yescharacteristic
14C23×D4×C11C2211yescharacteristic
15C23×D4×C11C2212yes—
16C23×C22⋊D11C2211yescharacteristic
17C23×C22⋊D11C2212yes—
18C23×C22⋊D11C2211yescharacteristic, complemented
19C24×Dic11C2211yescharacteristic
20C24×Dic11C2211yescharacteristic
21C2×C11×#120—28no—
22C2×C11×#120C2218yescomplemented
23C22×C11×C22⋊C4C2212yes—
24C22×C11×C22⋊C4C2211yescharacteristic
25C2×#67006—28no—
26C2×#67006C2218yescomplemented
27C22×C22⋊Dic11—28no—
28C22×C22⋊Dic11C2212yes—
29C22×C22⋊Dic11C2212yes—
30C22×C22⋊Dic11C2212yes—
31C22×C22⋊Dic11C2211yescharacteristic
32C22×C22⋊Dic11C2218yescomplemented
33C22×C22⋊Dic11C2212yescomplemented
34C22×C22⋊Dic11C2211yescharacteristic, complemented
35C2×#66992—28no—
36C2×#66992C2218yescomplemented
37C2×#66988—28no—
38C2×#66988C2218yescomplemented
39C22×(C2×D11)⋊C4C2212yescomplemented
40C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
41C22×C4⋊Dic11C2212yescomplemented
42C22×Dic11⋊C4C2212yescomplemented
43C22×Dic11⋊C4C2211yescharacteristic, complemented
44C22×C4×Dic11C2212yescomplemented
45C2×#66939—28no—
46C2×#66939C2218yescomplemented
47#10622836C22116yescomplemented
48#10622834C22116yescomplemented
49C2×C11⋊#95C2212yescomplemented
50#10622570C22116yescomplemented
51#10622562C22116yescomplemented
52C22⋊C4×Dic11C2218yescomplemented
53C25×C11—24no—
54C25×C11—28no—
55C25×C11—24no—
56C25×C11—24no—
57C25×C11—44no—
58C25×C11C2311yescharacteristic
59C25×C11C2312yes—
60C25×C11C2314yes—
61C25×C11C2311yescharacteristic
62C24×D11C2311yescharacteristic
63C22×D4×C11—24no—
64C22×D4×C11—24no—
65C22×D4×C11—24no—
66C22×D4×C11—28no—
67C22×D4×C11—28no—
68C22×D4×C11—44no—
69C22×D4×C11C2314yes—
70C22×D4×C11C2318yes—
71C23×C4×C11C2311yescharacteristic
72C23×C4×C11C2312yes—
73C22×C22⋊D11—24no—
74C22×C22⋊D11—24no—
75C22×C22⋊D11—24no—
76C22×C22⋊D11—28no—
77C22×C22⋊D11—24no—
78C22×C22⋊D11—28no—
79C22×C22⋊D11—44no—
80C22×C22⋊D11—44no—
81C22×C22⋊D11C2314yes—
82C22×C22⋊D11C2318yes—
83C22×C22⋊D11C2314yescomplemented
84C23×Dic11—24no—
85C23×Dic11—24no—
86C23×Dic11—24no—
87C23×Dic11—44no—
88C23×Dic11D418yescomplemented
89C23×Dic11C2314yes—
90C23×Dic11C2311yescharacteristic
91C23×Dic11C2312yes—
92C23×Dic11C2311yescharacteristic
93C23×Dic11C2312yes—
94C23×Dic11C2311yescharacteristic
95C23×Dic11C2314yes—
96C11×#120—232no—
97C2×C11×C22⋊C4—28no—
98C2×C11×C22⋊C4D418yescomplemented
99C2×C11×C22⋊C4C2318yes—
100C2×C11×C22⋊C4C2314yes—
101#67006—232no—
102C2×C22⋊Dic11—28no—
103C2×C22⋊Dic11—24no—
104C2×C22⋊Dic11—28no—
105C2×C22⋊Dic11—28no—
106C2×C22⋊Dic11—28no—
107C2×C22⋊Dic11—232no—
108C2×C22⋊Dic11D418yescomplemented
109C2×C22⋊Dic11C2318yes—
110C2×C22⋊Dic11C2318yes—
111C2×C22⋊Dic11C2318yes—
112C2×C22⋊Dic11C2314yes—
113C2×C22⋊Dic11C2318yescomplemented
114C2×C22⋊Dic11C2314yescomplemented
115#66992—232no—
116#66988—232no—
117C2×(C2×D11)⋊C4—28no—
118C2×(C2×D11)⋊C4—24no—
119C2×(C2×D11)⋊C4C2318yescomplemented
120C2×(C2×D11)⋊C4C2314yescomplemented
121C2×C4⋊Dic11—28no—
122C2×C4⋊Dic11C2318yescomplemented
123C2×Dic11⋊C4—28no—
124C2×Dic11⋊C4—24no—
125C2×Dic11⋊C4C2318yescomplemented
126C2×Dic11⋊C4C2314yescomplemented
127C2×C4×Dic11—44no—
128C2×C4×Dic11C2318yescomplemented
129#66939—232no—
130C11⋊#95C2318yescomplemented
131C2×#2539—111nomaximal, Sylow
132C24×C11—24no—
133C24×C11—24no—
134C24×C11—232no—
135C24×C11—28no—
136C24×C11—24no—
137C24×C11—24no—
138C24×C11—24no—
139C24×C11—216no—
140C24×C11—24no—
141C24×C11—24no—
142C24×C11—24no—
143C24×C11—22no—
144C24×C11—22no—
145C24×C11—28no—
146C24×C11—28no—
147C24×C11—22no—
148C24×C11—24no—
149C24×C11—24no—
150C24×C11—48no—
151C24×C11—432no—
152C24×C11—432no—
153C24×C11—416no—
154C24×C11—416no—
155C24×C11C2×D414yes—
156C24×C11C2×D414yes—
157C24×C11C2×D414yes—
158C24×C11#4118yes—
159C24×C11C2412yes—
160C24×C11C2414yes—
161C24×C11C2412yes—
162C24×C11C2411yescharacteristic
163C23×D11—22no—
164C23×D11—22no—
165C23×D11—22no—
166C23×D11—24no—
167C23×D11—24no—
168C23×D11C2412yes—
169C2×D4×C11—28no—
170C2×D4×C11—28no—
171C2×D4×C11—28no—
172C2×D4×C11—216no—
173C2×D4×C11—216no—
174C2×D4×C11—48no—
175C2×D4×C11—432no—
176C2×D4×C11—416no—
177C22×C4×C11—24no—
178C22×C4×C11—24no—
179C22×C4×C11—22no—
180C22×C4×C11—22no—
181C22×C4×C11—22no—
182C22×C4×C11C2×D418yes—
183C22×C4×C11C2412yes—
184C22×C4×C11C2414yes—
185C2×C22⋊D11—28no—
186C2×C22⋊D11—216no—
187C2×C22⋊D11—28no—
188C2×C22⋊D11—28no—
189C2×C22⋊D11—28no—
190C2×C22⋊D11—216no—
191C2×C22⋊D11—48no—
192C2×C22⋊D11—48no—
193C2×C22⋊D11—432no—
194C2×C22⋊D11—416no—
195C2×C22⋊D11—416no—
196C22×Dic11—28no—
197C22×Dic11—24no—
198C22×Dic11—22no—
199C22×Dic11—22no—
200C22×Dic11—24no—
201C22×Dic11—28no—
202C22×Dic11—28no—
203C22×Dic11—24no—
204C22×Dic11—22no—
205C22×Dic11—24no—
206C22×Dic11—24no—
207C22×Dic11—24no—
208C22×Dic11—24no—
209C22×Dic11—416no—
210C22×Dic11—48no—
211C22×Dic11—416no—
212C22×Dic11C2×D418yes—
213C22×Dic11C2×D414yes—
214C22×Dic11C2×D414yes—
215C22×Dic11C2×D4116yescomplemented
216C22×Dic11C2412yes—
217C22×Dic11C2414yes—
218C22×Dic11C2412yes—
219C22×Dic11C2414yes—
220C22×Dic11C2412yes—
221C11×C22⋊C4—216no—
222C11×C22⋊C4C2×D4116yescomplemented
223C22⋊Dic11—216no—
224C22⋊Dic11—28no—
225C22⋊Dic11—216no—
226C22⋊Dic11—216no—
227C22⋊Dic11—216no—
228C22⋊Dic11C2×D4116yescomplemented
229(C2×D11)⋊C4—28no—
230(C2×D11)⋊C4—216no—
231C4⋊Dic11—216no—
232Dic11⋊C4—216no—
233Dic11⋊C4—28no—
234C4×Dic11—48no—
235C22×#123—111no—
236C22×#123—111no—
237C22×#121—111no—
238C22×#120—111no—
239C22×#120D1111yescharacteristic, complemented
240C23×C22⋊C4—111no—
241#2539—1116no—
242C2×#399—112no—
243C2×#392—112no—
244C2×#390—112no—
245C2×#390—112no—
246C2×C4×C22⋊C4—111no—
247C23×C11—28no—
248C23×C11—28no—
249C23×C11—216no—
250C23×C11—216no—
251C23×C11—24no—
252C23×C11—24no—
253C23×C11—232no—
254C23×C11—216no—
255C23×C11—216no—
256C23×C11—216no—
257C23×C11—24no—
258C23×C11—24no—
259C23×C11—24no—
260C23×C11—24no—
261C23×C11—24no—
262C23×C11—24no—
263C23×C11—22no—
264C23×C11—22no—
265C23×C11—22no—
266C23×C11—24no—
267C23×C11—24no—
268C23×C11—432no—
269C23×C11—432no—
270C23×C11—416no—
271C23×C11—4128no—
272C23×C11—416no—
273C23×C11—48no—
274C23×C11—48no—
275C23×C11—48no—
276C23×C11—48no—
277C23×C11—44no—
278C23×C11—44no—
279C23×C11—44no—
280C23×C11—48no—
281C23×C11—48no—
282C23×C11#127116yes—
283C23×C11C22×D414yes—
284C23×C11C22×D414yes—
285C23×C11C22×D412yes—
286C23×C11C22×D412yes—
287C23×C11C22×D414yes—
288C23×C11C22×D412yes—
289C23×C11C2×#4118yes—
290C23×C11C2×#4114yes—
291C23×C11H(5,𝔽2)14yes—
292C23×C11C2511yescharacteristic
293C22×D11—22no—
294C22×D11—22no—
295C22×D11—22no—
296C22×D11—24no—
297C22×D11—24no—
298C22×D11—44no—
299C22×D11—44no—
300C22×D11—44no—
301C22×D11—48no—
302C22×D11—48no—
303D4×C11—432no—
304D4×C11—416no—
305C2×C4×C11—216no—
306C2×C4×C11—24no—
307C2×C4×C11—24no—
308C2×C4×C11—22no—
309C2×C4×C11—22no—
310C2×C4×C11—22no—
311C2×C4×C11—44no—
312C2×C4×C11C22×D418yes—
313C22⋊D11—432no—
314C22⋊D11—416no—
315C22⋊D11—416no—
316C2×Dic11—28no—
317C2×Dic11—28no—
318C2×Dic11—216no—
319C2×Dic11—24no—
320C2×Dic11—24no—
321C2×Dic11—24no—
322C2×Dic11—24no—
323C2×Dic11—24no—
324C2×Dic11—22no—
325C2×Dic11—22no—
326C2×Dic11—24no—
327C2×Dic11—24no—
328C2×Dic11—22no—
329C2×Dic11—416no—
330C2×Dic11—416no—
331C2×Dic11—48no—
332C2×Dic11—44no—
333C2×Dic11C22×D418yes—
334C2×Dic11C22×D414yes—
335C2×Dic11C22×D414yes—
336C26C2×D1111yescharacteristic
337C23×D4—111no—
338C23×D4—112no—
339C23×D4—111no—
340C23×D4C2×D1111yescharacteristic
341C23×D4C2×D1112yes—
342C24×C4—111no—
343C24×C4—111no—
344C2×#123—118no—
345C2×#123—118no—
346C2×#123—228no—
347C2×#123—228no—
348C2×#121—118no—
349C2×#121—228no—
350C2×#120—28no—
351C2×#120—118no—
352C2×#120—228no—
353C2×#120C2×D1118yescomplemented
354C22×C4⋊C4—111no—
355C22×C4⋊C4—112no—
356C22×C4⋊C4—112no—
357C22×C22⋊C4—111no—
358C22×C22⋊C4—112no—
359C22×C22⋊C4—112no—
360C22×C22⋊C4—112no—
361C22×C22⋊C4—112no—
362C22×C22⋊C4—118no—
363C22×C22⋊C4—111no—
364C22×C22⋊C4—112no—
365C22×C22⋊C4—111no—
366C22×C22⋊C4—228no—
367C22×C22⋊C4C2×D1112yes—
368C22×C22⋊C4C2×D1111yescharacteristic
369C22×C42—112no—
370#399—1116no—
371#392—1116no—
372#390—1116no—
373#390—1116no—
374C4×C22⋊C4—118no—
375C2×#95—112no—
376C22×C11—24no—
377C22×C11—24no—
378C22×C11—28no—
379C22×C11—28no—
380C22×C11—232no—
381C22×C11—28no—
382C22×C11—28no—
383C22×C11—28no—
384C22×C11—464no—
385C22×C11—44no—
386C22×C11—44no—
387C22×C11—44no—
388C22×C11—44no—
389C22×C11—432no—
390C22×C11—42no—
391C22×C11—42no—
392C22×C11—42no—
393C22×C11—44no—
394C22×C11—44no—
395C22×C11—88no—
396C22×C11#52514yes—
397C22×C11C2×#12718yes—
398C22×C11C2×#12714yes—
399C22×C11#53414yes—
400C22×C11#54618yes—
401C22×C11#54618yes—
402C22×C11C23×D411yescharacteristic
403C22×C11C23×D411yescharacteristic
404C22×C11C23×D411yescharacteristic
405C22×C11C22×#4112yes—
406C22×C11C2×H(5,𝔽2)12yes—
407C2×D11—42no—
408C2×D11—42no—
409C2×D11—42no—
410C2×D11—44no—
411C2×D11—44no—
412C2×D11—88no—
413C4×C11—28no—
414C4×C11—42no—
415Dic11—24no—
416Dic11—24no—
417Dic11—28no—
418Dic11—44no—
419Dic11—42no—
420C25—24no—
421C25—28no—
422C25—24no—
423C25—24no—
424C25—44no—
425C25—111no—
426C25C22×D1111yescharacteristic
427C25C22×D1112yes—
428C25C22×D1114yes—
429C25C22×D1111yescharacteristic
430C22×D4—24no—
431C22×D4—24no—
432C22×D4—28no—
433C22×D4—24no—
434C22×D4—28no—
435C22×D4—44no—
436C22×D4—114no—
437C22×D4—118no—
438C22×D4—114no—
439C22×D4—228no—
440C22×D4—224no—
441C22×D4—224no—
442C22×D4—224no—
443C22×D4—228no—
444C22×D4—224no—
445C22×D4—444no—
446C22×D4—444no—
447C22×D4C22×D1114yes—
448C22×D4C22×D1118yes—
449C23×C4—111no—
450C23×C4—112no—
451C23×C4—111no—
452C23×C4—118no—
453C23×C4—114no—
454C23×C4—114no—
455C23×C4—112no—
456C23×C4—111no—
457C23×C4—224no—
458C23×C4—224no—
459C23×C4—224no—
460C23×C4—444no—
461C23×C4C22×D1111yescharacteristic
462C23×C4C22×D1112yes—
463#123—2232no—
464#123—2232no—
465#121—2232no—
466#120—232no—
467#120—2232no—
468C2×C4⋊C4—114no—
469C2×C4⋊C4—118no—
470C2×C4⋊C4—118no—
471C2×C4⋊C4—224no—
472C2×C4⋊C4—228no—
473C2×C4⋊C4—228no—
474C2×C22⋊C4—28no—
475C2×C22⋊C4—118no—
476C2×C22⋊C4—114no—
477C2×C22⋊C4—118no—
478C2×C22⋊C4—118no—
479C2×C22⋊C4—118no—
480C2×C22⋊C4—114no—
481C2×C22⋊C4—118no—
482C2×C22⋊C4—114no—
483C2×C22⋊C4—118no—
484C2×C22⋊C4—224no—
485C2×C22⋊C4—228no—
486C2×C22⋊C4—228no—
487C2×C22⋊C4—2232no—
488C2×C22⋊C4—228no—
489C2×C22⋊C4—224no—
490C2×C22⋊C4—228no—
491C2×C22⋊C4—228no—
492C2×C22⋊C4C22⋊D1118yescomplemented
493C2×C22⋊C4C22×D1118yes—
494C2×C22⋊C4C22×D1114yes—
495C2×C42—118no—
496C2×C42—444no—
497#95—118no—
498C2×C11—28no—
499C2×C11—48no—
500C2×C11—82no—
501C2×C11#253918yescomplemented
502C2×C11C2×#52511yescharacteristic
503C2×C11C22×#12711yescharacteristic
504C2×C11C2×#53411yescharacteristic
505C2×C11C2×#54612yes—
506C2×C11C2×#54612yes—
507D11—82no—
508C24—24no—
509C24—24no—
510C24—232no—
511C24—28no—
512C24—24no—
513C24—24no—
514C24—216no—
515C24—24no—
516C24—24no—
517C24—24no—
518C24—24no—
519C24—22no—
520C24—22no—
521C24—28no—
522C24—24no—
523C24—24no—
524C24—28no—
525C24—22no—
526C24—48no—
527C24—432no—
528C24—432no—
529C24—416no—
530C24—416no—
531C24—112no—
532C24—222no—
533C24—222no—
534C24—224no—
535C24—224no—
536C24—222no—
537C24D4×D1114yes—
538C24D4×D1114yes—
539C24#434118yes—
540C24C2×C22⋊D1114yes—
541C24C23×D1112yes—
542C24C23×D1114yes—
543C24C23×D1112yes—
544C24C23×D1111yescharacteristic
545C2×D4—28no—
546C2×D4—28no—
547C2×D4—216no—
548C2×D4—28no—
549C2×D4—216no—
550C2×D4—48no—
551C2×D4—432no—
552C2×D4—416no—
553C2×D4—2216no—
554C2×D4—228no—
555C2×D4—228no—
556C2×D4—228no—
557C2×D4—2216no—
558C2×D4—228no—
559C2×D4—448no—
560C2×D4—448no—
561C2×D4—4432no—
562C2×D4—4416no—
563C2×D4—4416no—
564C22×C4—24no—
565C22×C4—24no—
566C22×C4—22no—
567C22×C4—22no—
568C22×C4—22no—
569C22×C4—118no—
570C22×C4—114no—
571C22×C4—114no—
572C22×C4—112no—
573C22×C4—114no—
574C22×C4—112no—
575C22×C4—1116no—
576C22×C4—114no—
577C22×C4—112no—
578C22×C4—224no—
579C22×C4—224no—
580C22×C4—224no—
581C22×C4—224no—
582C22×C4—228no—
583C22×C4—224no—
584C22×C4—222no—
585C22×C4—224no—
586C22×C4—222no—
587C22×C4—228no—
588C22×C4—224no—
589C22×C4—222no—
590C22×C4—228no—
591C22×C4—4416no—
592C22×C4—448no—
593C22×C4—4416no—
594C22×C4C2×C22⋊D1118yes—
595C22×C4C23×D1112yes—
596C22×C4C23×D1114yes—
597C4⋊C4—228no—
598C4⋊C4—2216no—
599C4⋊C4—2216no—
600C22⋊C4—216no—
601C22⋊C4—1116no—
602C22⋊C4—228no—
603C22⋊C4—2216no—
604C22⋊C4—2216no—
605C22⋊C4—2216no—
606C22⋊C4—228no—
607C22⋊C4—2216no—
608C22⋊C4—2216no—
609C22⋊C4C2×C22⋊D11116yescomplemented
610C42—448no—
611C11C2×#253911yescharacteristic, complemented, Sylow
612C23—216no—
613C23—28no—
614C23—28no—
615C23—216no—
616C23—24no—
617C23—24no—
618C23—232no—
619C23—216no—
620C23—216no—
621C23—216no—
622C23—24no—
623C23—24no—
624C23—24no—
625C23—24no—
626C23—24no—
627C23—24no—
628C23—22no—
629C23—22no—
630C23—24no—
631C23—24no—
632C23—22no—
633C23—432no—
634C23—432no—
635C23—416no—
636C23—4128no—
637C23—416no—
638C23—48no—
639C23—48no—
640C23—48no—
641C23—48no—
642C23—44no—
643C23—48no—
644C23—44no—
645C23—44no—
646C23—48no—
647C23—222no—
648C23—222no—
649C23—224no—
650C23—224no—
651C23—222no—
652C23—444no—
653C23—448no—
654C23—444no—
655C23—444no—
656C23—448no—
657C23#66993116yes—
658C23C2×D4×D1114yes—
659C23C2×D4×D1114yes—
660C23C2×D4×D1112yes—
661C23C2×D4×D1112yes—
662C23C2×#434118yes—
663C23C2×#434114yes—
664C23#6703714yes—
665C23C22×C22⋊D1114yes—
666C23C22×C22⋊D1112yes—
667C23C24×D1111yescharacteristic
668D4—432no—
669D4—416no—
670D4—4432no—
671D4—4416no—
672D4—4416no—
673C2×C4—216no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—44no—
680C2×C4—118no—
681C2×C4—114no—
682C2×C4—114no—
683C2×C4—228no—
684C2×C4—228no—
685C2×C4—2216no—
686C2×C4—224no—
687C2×C4—224no—
688C2×C4—224no—
689C2×C4—224no—
690C2×C4—224no—
691C2×C4—222no—
692C2×C4—224no—
693C2×C4—222no—
694C2×C4—224no—
695C2×C4—222no—
696C2×C4—4416no—
697C2×C4—4416no—
698C2×C4—448no—
699C2×C4—444no—
700C2×C4C22×C22⋊D1118yes—
701C22—24no—
702C22—232no—
703C22—28no—
704C22—28no—
705C22—24no—
706C22—28no—
707C22—28no—
708C22—28no—
709C22—464no—
710C22—44no—
711C22—44no—
712C22—432no—
713C22—44no—
714C22—44no—
715C22—42no—
716C22—42no—
717C22—44no—
718C22—44no—
719C22—42no—
720C22—88no—
721C22—442no—
722C22—442no—
723C22—444no—
724C22—444no—
725C22—442no—
726C22—888no—
727C22#1062311714yes—
728C22#1062312014yes—
729C22#1062312218yes—
730C22C2×#6699318yes—
731C22C2×#6699314yes—
732C22#1062333718yes—
733C22C22×D4×D1111yescharacteristic
734C22C22×D4×D1111yescharacteristic
735C22C22×#434112yes—
736C22C2×#6703712yes—
737C22C23×C22⋊D1111yescharacteristic
738C4—28no—
739C4—42no—
740C4—224no—
741C4—224no—
742C4—228no—
743C4—444no—
744C4—442no—
745C2—28no—
746C2—48no—
747C2—82no—
748C2—882no—
749C2#1307354418yesdirect product factor
750C2C2×#1062311711yescharacteristic
751C2C22×#6699311yescharacteristic
752C2C2×#1062312011yescharacteristic
753C2C2×#1062312212yes—
754C2C2×#1062333712yes—
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC22×C11×#120C2
socleC24×C11C24
hypercenterC22×#120D11
hypocenterC11C2×#2539
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×#120

Complements

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

NH ≅ G/Ntype
1. C22×#66939C2semidirect
2. C22×#66988C2semidirect
3. C22×#66992C2semidirect
4. C22×#67006C2semidirect
5. C23×C22⋊Dic11C2semidirect
6. #13073544C2direct (N × H)
7. C2×#10622562C2semidirect
8. C2×#10622836C2semidirect
9. C2×#10622834C2semidirect
10. C2×#10622570C2semidirect
11. C2×C22⋊C4×Dic11C2semidirect
12. C22×C11×#120C2semidirect
18. C23×C22⋊D11C22semidirect
22. C2×C11×#120C22semidirect
26. C2×#67006C22semidirect
32. C22×C22⋊Dic11C22semidirect
33. C22×C22⋊Dic11C22semidirect
34. C22×C22⋊Dic11C22semidirect
36. C2×#66992C22semidirect
38. C2×#66988C22semidirect
39. C22×(C2×D11)⋊C4C22semidirect
40. C22×(C2×D11)⋊C4C22semidirect
41. C22×C4⋊Dic11C22semidirect
42. C22×Dic11⋊C4C22semidirect
43. C22×Dic11⋊C4C22semidirect
44. C22×C4×Dic11C22semidirect
46. C2×#66939C22semidirect
47. #10622836C22semidirect
48. #10622834C22semidirect
49. C2×C11⋊#95C22semidirect
50. #10622570C22semidirect
51. #10622562C22semidirect
52. C22⋊C4×Dic11C22semidirect
83. C22×C22⋊D11C23semidirect
88. C23×Dic11D4semidirect
98. C2×C11×C22⋊C4D4semidirect
108. C2×C22⋊Dic11D4semidirect
113. C2×C22⋊Dic11C23semidirect
114. C2×C22⋊Dic11C23semidirect
119. C2×(C2×D11)⋊C4C23semidirect
120. C2×(C2×D11)⋊C4C23semidirect
122. C2×C4⋊Dic11C23semidirect
125. C2×Dic11⋊C4C23semidirect
126. C2×Dic11⋊C4C23semidirect
128. C2×C4×Dic11C23semidirect
130. C11⋊#95C23semidirect
215. C22×Dic11C2×D4semidirect
222. C11×C22⋊C4C2×D4semidirect
228. C22⋊Dic11C2×D4semidirect
239. C22×#120D11semidirect
353. C2×#120C2×D11semidirect
492. C2×C22⋊C4C22⋊D11semidirect
501. C2×C11#2539semidirect
609. C22⋊C4C2×C22⋊D11semidirect
611. C11C2×#2539semidirect
749. C2#13073544direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669392
C22×#669882
C22×#669922
C22×#670062
C23×C22⋊Dic112
#130735442
C2×#106225622
C2×#106228362
C2×#106228342
C2×#106225702
C2×C22⋊C4×Dic112
C22×C11×#1202
C2×#253911