Finite Group Databasebeta

← #14926361

Subgroups — #14926361

Order 2816.

2866 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623165C211yesmaximal, characteristic, complemented
2C22×(C22⋊D11)⋊C4C211yesmaximal, characteristic
3#13076956C211yesmaximal, characteristic, complemented
4#13076950C211yesmaximal, characteristic, complemented
5#13076901C212yesmaximal, complemented
6#13074435C212yesmaximal, complemented
7#13074421C211yesmaximal, characteristic, complemented
8#13072435C214yesmaximal, complemented
9#13072433C214yesmaximal, complemented
10#13072428C214yesmaximal, complemented
11#13072426C214yesmaximal, complemented
12#13071229C211yesmaximal, characteristic, complemented
13#13071192C212yesmaximal
14D11×#385C212yesmaximal, complemented
15C11×#2626C211yesmaximal, characteristic, complemented
16C23×C22⋊D11C2211yescharacteristic
17C24×Dic11C2211yescharacteristic
18C23×C4×D11C2211yescharacteristic
19C2×C11×C22⋊Q8C2211yescharacteristic
20C22×C11×C22⋊C4C2211yescharacteristic
21C2×#66999C2212yescomplemented
22C22×(C2×D11)⋊C4C2211yescharacteristic
23C2×#66977C2211yescharacteristic
24C22×Dic11⋊C4C2211yescharacteristic
25C22×C4×Dic11C2211yescharacteristic
26#10623165—28no—
27C2×#66950C2212yescomplemented
28C2×#66949C2212yescomplemented
29C2×#66949C2212yescomplemented
30C2×C4⋊C4×D11C2214yescomplemented
31C2×(C22⋊D11)⋊C4—28no—
32C2×(C22⋊D11)⋊C4C2214yes—
33C2×(C22⋊D11)⋊C4C2214yes—
34C2×C22⋊C4×D11C2212yes—
35C2×C22⋊C4×D11C2212yes—
36C2×#66931C2212yes—
37C2×#66931C2214yescomplemented
38C11×#399C2212yescomplemented
39C11×#396C2214yescomplemented
40C11×#393C2212yescomplemented
41C11×#385C2212yes—
42C11×#380C2211yescharacteristic
43C11×#379C2212yes—
44#10622860C2212yes—
45#10622843C2212yescomplemented
46#10622825C2211yescharacteristic
47#10622823C2212yes—
48#10622602C2214yescomplemented
49#10622602C2214yescomplemented
50#10622598C2212yescomplemented
51#10622593C2214yescomplemented
52#10622592C2214yescomplemented
53#10622591C2214yescomplemented
54#10622587C2212yescomplemented
55#10622586C2212yescomplemented
56#10622569C2214yes—
57#10622569C2214yes—
58#10622569C2214yes—
59#10622569C2214yes—
60#10622563C2212yes—
61#10622563C2214yescomplemented
62#10622562C2212yescomplemented
63#10622561C2214yescomplemented
64#10622560C2212yescomplemented
65#10622559C2212yes—
66#10622559C2214yescomplemented
67#10622556C2212yes—
68#10622556C2212yes—
69#10622555C2212yes—
70#10622555C2214yescomplemented
71#10622281C2214yescomplemented
72#10622281C2214yescomplemented
73D11×#95C2214yescomplemented
74#10622271C2214yescomplemented
75#10622270C2214yescomplemented
76#10622266C2214yescomplemented
77C25×C11C2311yescharacteristic
78C24×D11C2311yescharacteristic
79C22×Q8×C11C2311yescharacteristic
80C23×C4×C11C2311yescharacteristic
81C23×C4×C11C2311yescharacteristic
82C22×C22⋊D11—24no—
83C22×C22⋊D11—24no—
84C22×C22⋊D11Q818yescomplemented
85C22×C22⋊D11C2314yes—
86C23×Dic11—24no—
87C23×Dic11—44no—
88C23×Dic11C2311yescharacteristic
89C23×Dic11C2314yes—
90C23×Dic11C2311yescharacteristic
91C23×Dic11C2311yescharacteristic
92C22×C4×D11—24no—
93C22×C4×D11—44no—
94C22×C4×D11C2314yes—
95C22×C4×D11C2312yes—
96C22×C4×D11C2314yes—
97C22×C4×D11C2312yes—
98C22×Dic22C2312yes—
99C22×Dic22C2311yescharacteristic
100C11×C22⋊Q8—24no—
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C11×C4⋊C4C2312yes—
103C2×C11×C4⋊C4C2314yes—
104C2×C11×C4⋊C4C2312yes—
105C2×C11×C22⋊C4—24no—
106C2×C11×C22⋊C4C2312yes—
107C2×C11×C22⋊C4C2312yes—
108C2×C11×C22⋊C4C2312yes—
109C2×C11×C22⋊C4C2312yes—
110C2×C11×C22⋊C4C2314yes—
111C2×C11×C22⋊C4C2314yes—
112C2×C22⋊Dic11C2312yes—
113C2×C22⋊Dic11C2312yes—
114C2×C22⋊Dic11C2314yes—
115C2×C22⋊Dic11C2314yes—
116#66999—28no—
117C2×(C2×D11)⋊C4D418yes—
118C2×(C2×D11)⋊C4C2312yes—
119C2×(C2×D11)⋊C4C2312yes—
120C2×(C2×D11)⋊C4C2314yes—
121C2×(C2×D11)⋊C4C2312yes—
122C2×(C2×D11)⋊C4C2312yes—
123C2×C4⋊Dic11C2312yes—
124C2×C4⋊Dic11C2314yes—
125C2×C4⋊Dic11C2311yescharacteristic
126C2×C4⋊Dic11C2312yes—
127#66977—24no—
128C2×Dic11⋊C4—24no—
129C2×Dic11⋊C4C2312yes—
130C2×Dic11⋊C4C2312yes—
131C2×Dic11⋊C4C2314yes—
132C2×Dic11⋊C4C2314yes—
133C2×Dic11⋊C4C2312yes—
134C2×Dic11⋊C4C2314yes—
135C2×Dic11⋊C4C2314yes—
136C2×C4×Dic11—24no—
137C2×C4×Dic11C2312yes—
138C2×C4×Dic11C2312yes—
139#66950—28no—
140#66949—28no—
141#66949—28no—
142C4⋊C4×D11—48no—
143(C22⋊D11)⋊C4—216no—
144(C22⋊D11)⋊C4—216no—
145C22⋊C4×D11—28no—
146C22⋊C4×D11—28no—
147#66931—28no—
148#66931—48no—
149C11×#95C2312yes—
150C11×#95C2314yes—
151C11⋊#95C2314yes—
152C11⋊#95C2314yes—
153C11⋊#95C2314yes—
154C11⋊#95C2314yes—
155C11⋊#95C2314yes—
156C11⋊#95C2314yes—
157C11⋊#95C2314yes—
158C11⋊#95C2314yes—
159C11⋊#95C2312yes—
160#34985—111nomaximal, Sylow
161C24×C11—22no—
162C24×C11—22no—
163C24×C11—42no—
164C24×C11—42no—
165C24×C11C2×Q814yes—
166C24×C11C2412yes—
167C24×C11C2411yescharacteristic
168C23×D11—42no—
169C23×D11—42no—
170C23×D11C2×D414yes—
171C23×D11C2×Q814yes—
172C23×D11#4114yes—
173C23×D11C2412yes—
174C2×Q8×C11—22no—
175C2×Q8×C11—42no—
176C22×C4×C11—22no—
177C22×C4×C11—42no—
178C22×C4×C11—42no—
179C22×C4×C11C2×D414yes—
180C22×C4×C11C2414yes—
181C22×C4×C11C2412yes—
182C22×C4×C11C2412yes—
183C22×C4×C11C2412yes—
184C22×C4×C11C2411yescharacteristic
185C22×C4×C11C2411yescharacteristic
186C2×C22⋊D11—232no—
187C2×C22⋊D11—28no—
188C2×C22⋊D11—28no—
189C2×C22⋊D11C2×Q8116yes—
190C22×Dic11—24no—
191C22×Dic11—28no—
192C22×Dic11—28no—
193C22×Dic11—22no—
194C22×Dic11—22no—
195C22×Dic11—22no—
196C22×Dic11—42no—
197C22×Dic11—44no—
198C22×Dic11—416no—
199C22×Dic11C2×D414yes—
200C22×Dic11C2×Q814yes—
201C22×Dic11C2414yes—
202C22×Dic11C2412yes—
203C22×Dic11C2412yes—
204C22×Dic11C2412yes—
205C22×Dic11C2412yes—
206C22×Dic11C2412yes—
207C2×C4×D11—28no—
208C2×C4×D11—28no—
209C2×C4×D11—24no—
210C2×C4×D11—24no—
211C2×C4×D11—28no—
212C2×C4×D11—44no—
213C2×C4×D11—44no—
214C2×C4×D11—44no—
215C2×C4×D11—44no—
216C2×C4×D11—44no—
217C2×C4×D11—416no—
218C2×Dic22—24no—
219C2×Dic22—22no—
220C2×Dic22—44no—
221C2×Dic22—42no—
222C11×C4⋊C4—22no—
223C11×C4⋊C4—24no—
224C11×C4⋊C4—44no—
225C11×C4⋊C4—42no—
226C11×C22⋊C4—24no—
227C11×C22⋊C4—24no—
228C11×C22⋊C4—24no—
229C11×C22⋊C4—24no—
230C11×C22⋊C4—44no—
231C11×C22⋊C4—44no—
232C22⋊Dic11—24no—
233C22⋊Dic11—24no—
234C22⋊Dic11—44no—
235C22⋊Dic11—44no—
236(C2×D11)⋊C4—24no—
237(C2×D11)⋊C4—24no—
238(C2×D11)⋊C4—28no—
239(C2×D11)⋊C4C2×D418yes—
240(C2×D11)⋊C4C2×D418yes—
241C4⋊Dic11—24no—
242C4⋊Dic11—28no—
243C4⋊Dic11—22no—
244C4⋊Dic11—42no—
245Dic11⋊C4—24no—
246Dic11⋊C4—24no—
247Dic11⋊C4—28no—
248Dic11⋊C4—28no—
249Dic11⋊C4—24no—
250Dic11⋊C4—44no—
251Dic11⋊C4—44no—
252C4×Dic11—24no—
253C4×Dic11—24no—
254C2×#543—111no—
255C22×C4×D4—111no—
256#2855—111no—
257#2855—111no—
258#2848—112no—
259#2627—112no—
260#2626—111no—
261#2626D1111yescharacteristic, complemented
262#2450—114no—
263#2450—114no—
264#2449—114no—
265#2449—114no—
266#2315—111no—
267#2308—112no—
268C2×#385—112no—
269C23×C11—22no—
270C23×C11—22no—
271C23×C11—28no—
272C23×C11—22no—
273C23×C11—22no—
274C23×C11—24no—
275C23×C11—24no—
276C23×C11—48no—
277C23×C11—44no—
278C23×C11—48no—
279C23×C11—44no—
280C23×C11C22×D412yes—
281C23×C11C22×Q814yes—
282C23×C11C22×Q812yes—
283C23×C11C2×#4112yes—
284C23×C11C2511yescharacteristic
285C22×D11—24no—
286C22×D11—24no—
287C22×D11—44no—
288C22×D11—44no—
289C22×D11—48no—
290C22×D11—48no—
291C22×D11C22⋊Q8116yescomplemented
292C22×D11C22×D414yes—
293C22×D11C22×Q814yes—
294C22×D11C2×#4114yes—
295Q8×C11—82no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—24no—
302C2×C4×C11—24no—
303C2×C4×C11—24no—
304C2×C4×C11—24no—
305C2×C4×C11—24no—
306C2×C4×C11—24no—
307C2×C4×C11—44no—
308C2×C4×C11—44no—
309C2×C4×C11C22×D412yes—
310C2×C4×C11C22×D412yes—
311C22⋊D11—232no—
312C2×Dic11—28no—
313C2×Dic11—28no—
314C2×Dic11—22no—
315C2×Dic11—22no—
316C2×Dic11—22no—
317C2×Dic11—24no—
318C2×Dic11—22no—
319C2×Dic11—22no—
320C2×Dic11—22no—
321C2×Dic11—24no—
322C2×Dic11—24no—
323C2×Dic11—24no—
324C2×Dic11—24no—
325C2×Dic11—24no—
326C2×Dic11—44no—
327C2×Dic11—416no—
328C2×Dic11C22×D414yes—
329C2×Dic11C22×Q814yes—
330C2×Dic11H(5,𝔽2)14yes—
331C4×D11—416no—
332C4×D11—416no—
333C4×D11—84no—
334C4×D11—84no—
335Dic22—84no—
336Dic22—82no—
337C23×D4—111no—
338C24×C4—111no—
339C24×C4—111no—
340#543—228no—
341C2×C22⋊Q8—112no—
342C2×C22⋊Q8—111no—
343C2×C22⋊Q8—112no—
344C2×C22⋊Q8—112no—
345C2×C22⋊Q8—112no—
346C2×C22⋊Q8—112no—
347C2×C22⋊Q8—114no—
348C2×C22⋊Q8C2×D1111yescharacteristic
349C2×C4×D4—114no—
350C2×C4×D4—114no—
351C2×C4×D4—228no—
352C22×C4⋊C4—111no—
353C22×C4⋊C4—114no—
354C22×C22⋊C4—111no—
355C22×C22⋊C4—112no—
356C22×C22⋊C4—112no—
357C22×C22⋊C4C2×D1111yescharacteristic
358C22×C42—111no—
359#400—114no—
360#399—112no—
361#399C2×D1112yescomplemented
362#398—114no—
363#398—114no—
364#396—114no—
365#396C2×D1114yescomplemented
366#395—114no—
367#393—112no—
368#393C2×D1112yescomplemented
369#391—112no—
370#391—112no—
371#389—112no—
372#389—112no—
373#387—114no—
374#387—114no—
375#386—114no—
376#386—114no—
377#386—114no—
378#386—114no—
379#385—112no—
380#385—114no—
381#385—114no—
382#385—112no—
383#385—112no—
384#385—114no—
385#385—114no—
386#385—114no—
387#385—114no—
388#385C2×D1112yes—
389#381—112no—
390#381—112no—
391#380—111no—
392#380—112no—
393#380—114no—
394#380C2×D1111yescharacteristic
395#379—112no—
396#379C2×D1112yes—
397C2×#95—114no—
398C22×C11—24no—
399C22×C11—22no—
400C22×C11—22no—
401C22×C11—24no—
402C22×C11—24no—
403C22×C11—28no—
404C22×C11—416no—
405C22×C11—44no—
406C22×C11—42no—
407C22×C11—42no—
408C22×C11C2×C22⋊Q814yes—
409C22×C11C23×D411yescharacteristic
410C22×C11C23×Q811yescharacteristic
411C22×C11C22×#4111yescharacteristic
412C22×C11C2×H(5,𝔽2)12yes—
413C22×C11#58512yes—
414C2×D11—28no—
415C2×D11—24no—
416C2×D11—24no—
417C2×D11—28no—
418C2×D11—416no—
419C2×D11C2×C22⋊Q818yes—
420C4×C11—22no—
421C4×C11—22no—
422C4×C11—44no—
423C4×C11—42no—
424C4×C11—42no—
425C4×C11—42no—
426Dic11—24no—
427Dic11—24no—
428Dic11—24no—
429Dic11—44no—
430Dic11—42no—
431Dic11—42no—
432C25—111no—
433C25C22×D1111yescharacteristic
434C22×Q8—112no—
435C22×Q8—111no—
436C22×Q8C22×D1111yescharacteristic
437C22×D4—118no—
438C22×D4—114no—
439C22×D4—224no—
440C22×D4—224no—
441C23×C4—111no—
442C23×C4—111no—
443C23×C4—111no—
444C23×C4—114no—
445C23×C4—114no—
446C23×C4—112no—
447C23×C4—114no—
448C23×C4—112no—
449C23×C4—224no—
450C23×C4—224no—
451C23×C4—444no—
452C23×C4—444no—
453C23×C4C22×D1111yescharacteristic
454C23×C4C22×D1111yescharacteristic
455C22⋊Q8—24no—
456C22⋊Q8—228no—
457C22⋊Q8—228no—
458C22⋊Q8—228no—
459C22⋊Q8—228no—
460C22⋊Q8—228no—
461C22⋊Q8—224no—
462C22⋊Q8—448no—
463C4×D4—2216no—
464C4×D4—2216no—
465C2×C4⋊C4—114no—
466C2×C4⋊C4—114no—
467C2×C4⋊C4—114no—
468C2×C4⋊C4—112no—
469C2×C4⋊C4—112no—
470C2×C4⋊C4—112no—
471C2×C4⋊C4—112no—
472C2×C4⋊C4—111no—
473C2×C4⋊C4—114no—
474C2×C4⋊C4—114no—
475C2×C4⋊C4—112no—
476C2×C4⋊C4—224no—
477C2×C4⋊C4—448no—
478C2×C4⋊C4C22×D1112yes—
479C2×C4⋊C4C22×D1111yescharacteristic
480C2×C4⋊C4C22×D1114yes—
481C2×C4⋊C4C22×D1112yes—
482C2×C22⋊C4—24no—
483C2×C22⋊C4—118no—
484C2×C22⋊C4—112no—
485C2×C22⋊C4—112no—
486C2×C22⋊C4—112no—
487C2×C22⋊C4—112no—
488C2×C22⋊C4—112no—
489C2×C22⋊C4—112no—
490C2×C22⋊C4—114no—
491C2×C22⋊C4—114no—
492C2×C22⋊C4—114no—
493C2×C22⋊C4—228no—
494C2×C22⋊C4—228no—
495C2×C22⋊C4C22×D1112yes—
496C2×C22⋊C4C22×D1112yes—
497C2×C22⋊C4C22×D1112yes—
498C2×C22⋊C4C22×D1112yes—
499C2×C22⋊C4C22×D1114yes—
500C2×C22⋊C4C22×D1114yes—
501C2×C42—112no—
502C2×C42—112no—
503C2×C42—224no—
504#95—114no—
505#95—114no—
506#95—114no—
507#95—114no—
508#95—112no—
509#95—114no—
510#95—114no—
511#95—114no—
512#95—114no—
513#95C22×D1114yes—
514#95C22×D1112yes—
515C2×C11—24no—
516C2×C11—44no—
517C2×C11C22×C22⋊Q811yescharacteristic
518C2×C11#345912yes—
519C2×C11#348411yescharacteristic
520C2×C11#348511yescharacteristic
521C2×C11#350112yes—
522D11—28no—
523C24—22no—
524C24—22no—
525C24—42no—
526C24—42no—
527C24—112no—
528C24—114no—
529C24—114no—
530C24—114no—
531C24—442no—
532C24—442no—
533C24Q8×D1114yes—
534C24C23×D1112yes—
535C24C23×D1111yescharacteristic
536C2×Q8—22no—
537C2×Q8—42no—
538C2×Q8—224no—
539C2×Q8—222no—
540C2×Q8—444no—
541C2×Q8—442no—
542C2×D4—1116no—
543C2×D4—228no—
544C2×D4—2232no—
545C2×D4—228no—
546C22×C4—22no—
547C22×C4—42no—
548C22×C4—42no—
549C22×C4—114no—
550C22×C4—112no—
551C22×C4—112no—
552C22×C4—112no—
553C22×C4—114no—
554C22×C4—114no—
555C22×C4—112no—
556C22×C4—112no—
557C22×C4—228no—
558C22×C4—228no—
559C22×C4—228no—
560C22×C4—224no—
561C22×C4—224no—
562C22×C4—224no—
563C22×C4—228no—
564C22×C4—228no—
565C22×C4—222no—
566C22×C4—222no—
567C22×C4—222no—
568C22×C4—444no—
569C22×C4—444no—
570C22×C4—444no—
571C22×C4—444no—
572C22×C4—444no—
573C22×C4—4416no—
574C22×C4—442no—
575C22×C4—444no—
576C22×C4—4416no—
577C22×C4D4×D1114yes—
578C22×C4C23×D1114yes—
579C22×C4C23×D1112yes—
580C22×C4C23×D1112yes—
581C22×C4C23×D1112yes—
582C22×C4C23×D1111yescharacteristic
583C22×C4C23×D1111yescharacteristic
584C4⋊C4—22no—
585C4⋊C4—24no—
586C4⋊C4—44no—
587C4⋊C4—42no—
588C4⋊C4—228no—
589C4⋊C4—228no—
590C4⋊C4—228no—
591C4⋊C4—224no—
592C4⋊C4—224no—
593C4⋊C4—224no—
594C4⋊C4—224no—
595C4⋊C4—222no—
596C4⋊C4—444no—
597C4⋊C4—444no—
598C4⋊C4—442no—
599C22⋊C4—24no—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—24no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—118no—
606C22⋊C4—118no—
607C22⋊C4—224no—
608C22⋊C4—224no—
609C22⋊C4—228no—
610C22⋊C4—224no—
611C22⋊C4—224no—
612C22⋊C4—444no—
613C22⋊C4—444no—
614C42—224no—
615C42—224no—
616C11#3498511yescharacteristic, complemented, Sylow
617C23—22no—
618C23—22no—
619C23—28no—
620C23—22no—
621C23—22no—
622C23—24no—
623C23—24no—
624C23—48no—
625C23—44no—
626C23—44no—
627C23—48no—
628C23—114no—
629C23—114no—
630C23—114no—
631C23—1116no—
632C23—224no—
633C23—224no—
634C23—444no—
635C23—448no—
636C23—444no—
637C23—448no—
638C23C2×D4×D1112yes—
639C23C2×Q8×D1114yes—
640C23C2×Q8×D1112yes—
641C23#41×D1112yes—
642C23C24×D1111yescharacteristic
643Q8—82no—
644Q8—882no—
645Q8—884no—
646D4—2232no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—114no—
661C2×C4—114no—
662C2×C4—114no—
663C2×C4—228no—
664C2×C4—228no—
665C2×C4—222no—
666C2×C4—222no—
667C2×C4—222no—
668C2×C4—224no—
669C2×C4—222no—
670C2×C4—222no—
671C2×C4—222no—
672C2×C4—224no—
673C2×C4—224no—
674C2×C4—224no—
675C2×C4—224no—
676C2×C4—224no—
677C2×C4—4416no—
678C2×C4—4416no—
679C2×C4—444no—
680C2×C4—4416no—
681C2×C4—884no—
682C2×C4—884no—
683C2×C4C2×D4×D1112yes—
684C2×C4C2×D4×D1112yes—
685C22—24no—
686C22—22no—
687C22—22no—
688C22—24no—
689C22—28no—
690C22—24no—
691C22—416no—
692C22—42no—
693C22—42no—
694C22—44no—
695C22—118no—
696C22—228no—
697C22—224no—
698C22—224no—
699C22—228no—
700C22—4416no—
701C22D11×C22⋊Q814yes—
702C22C22×D4×D1111yescharacteristic
703C22C22×Q8×D1111yescharacteristic
704C22C2×#41×D1111yescharacteristic
705C22D11×H(5,𝔽2)12yes—
706C22#1062345512yes—
707C4—22no—
708C4—22no—
709C4—42no—
710C4—42no—
711C4—42no—
712C4—44no—
713C4—224no—
714C4—224no—
715C4—224no—
716C4—442no—
717C4—442no—
718C4—444no—
719C2—24no—
720C2—44no—
721C2—228no—
722C2C2×D11×C22⋊Q811yescharacteristic
723C2#1308202712yes—
724C2#1308225011yescharacteristic
725C2#1308225711yescharacteristic
726C2#1308241612yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2626C2
prime radicalC23×C22⋊D11C22
hypercenter#2626D11
hypocenterC11#34985
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2626

Complements

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

NH ≅ G/Ntype
1. C2×#10623165C2semidirect
3. #13076956C2semidirect
4. #13076950C2semidirect
5. #13076901C2semidirect
6. #13074435C2semidirect
7. #13074421C2semidirect
8. #13072435C2semidirect
9. #13072433C2semidirect
10. #13072428C2semidirect
11. #13072426C2semidirect
12. #13071229C2semidirect
14. D11×#385C2semidirect
15. C11×#2626C2semidirect
21. C2×#66999C22semidirect
27. C2×#66950C22semidirect
28. C2×#66949C22semidirect
29. C2×#66949C22semidirect
30. C2×C4⋊C4×D11C22semidirect
37. C2×#66931C22semidirect
38. C11×#399C22semidirect
39. C11×#396C22semidirect
40. C11×#393C22semidirect
45. #10622843C22semidirect
48. #10622602C22semidirect
49. #10622602C22semidirect
50. #10622598C22semidirect
51. #10622593C22semidirect
52. #10622592C22semidirect
53. #10622591C22semidirect
54. #10622587C22semidirect
55. #10622586C22semidirect
61. #10622563C22semidirect
62. #10622562C22semidirect
63. #10622561C22semidirect
64. #10622560C22semidirect
66. #10622559C22semidirect
70. #10622555C22semidirect
71. #10622281C22semidirect
72. #10622281C22semidirect
73. D11×#95C22semidirect
74. #10622271C22semidirect
75. #10622270C22semidirect
76. #10622266C22semidirect
84. C22×C22⋊D11Q8semidirect
261. #2626D11semidirect
291. C22×D11C22⋊Q8semidirect
361. #399C2×D11semidirect
365. #396C2×D11semidirect
368. #393C2×D11semidirect
616. C11#34985semidirect

Maximal subgroups

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

subgroupindex
C2×#106231652
C22×(C22⋊D11)⋊C42
#130769562
#130769502
#130769012
#130744352
#130744212
#130724352
#130724332
#130724282
#130724262
#130712292
#130711922
D11×#3852
C11×#26262
#3498511