Finite Group Databasebeta

← #14960766

Subgroups — #14960766

Order 2816.

2490 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
1C22×#66949C211yesmaximal, characteristic, complemented
2#13076900C211yesmaximal, characteristic, complemented
3#13076895C211yesmaximal, characteristic
4#13075268C214yesmaximal, complemented
5#13075238C214yesmaximal, complemented
6#13074986C214yesmaximal, complemented
7#13074968C214yesmaximal, complemented
8#13074431C211yesmaximal, characteristic, complemented
9#13074360C211yesmaximal, characteristic, complemented
10#13073502C212yesmaximal, complemented
11#13072024C212yesmaximal, complemented
12#13072002C212yesmaximal, complemented
13#13071981C212yesmaximal, complemented
14#13071234C211yesmaximal, characteristic, complemented
15C2×C11×#539C211yesmaximal, characteristic, complemented
16C23×C4×D11C2211yescharacteristic
17C23×Dic22C2211yescharacteristic
18C11×#539—28no—
19C2×C11×#126C2212yescomplemented
20C2×C11×#125C2212yescomplemented
21C2×C11×#123C2212yes—
22C2×C11×#123C2212yescomplemented
23C2×C11×C22⋊Q8C2211yescharacteristic
24C2×C11×C22⋊Q8C2212yescomplemented
25C2×C11×#121C2211yescharacteristic
26C2×C4×D4×C11C2212yes—
27C22×C11×C4⋊C4C2211yescharacteristic
28C2×#66999C2212yes—
29C2×#66991C2212yes—
30C2×#66990C2212yes—
31C2×#66988C2212yes—
32C22×(C2×D11)⋊C4C2211yescharacteristic
33C22×(C2×D11)⋊C4C2211yescharacteristic
34C2×#66979C2212yes—
35C2×#66977C2214yescomplemented
36C22×Dic11⋊C4C2211yescharacteristic
37C22×Dic11⋊C4C2211yescharacteristic
38C2×#66949—28no—
39C2×#66949C2214yes—
40C2×#66949C2214yes—
41#10622842C2212yescomplemented
42#10622835C2212yescomplemented
43#10622833C2212yes—
44#10622833C2212yes—
45#10622826C2214yes—
46#10622825C2212yes—
47#10622825C2211yescharacteristic
48#10622825C2211yescharacteristic
49#10622607C2214yes—
50#10622607C2214yes—
51#10622603C2214yes—
52#10622602C2214yes—
53#10622600C2212yes—
54#10622600C2212yes—
55#10622598C2214yescomplemented
56#10622598C2214yescomplemented
57#10622597C2214yescomplemented
58#10622597C2214yescomplemented
59#10622595C2212yescomplemented
60#10622593C2212yescomplemented
61#10622592C2214yescomplemented
62#10622585C2214yescomplemented
63#10622574C2214yes—
64#10622574C2214yes—
65#10622570C2214yes—
66#10622569C2214yes—
67#10622568C2212yes—
68#10622561C2214yescomplemented
69#10622561C2214yescomplemented
70#10622560C2214yescomplemented
71#10622559C2212yes—
72#10622559C2212yes—
73#10622558C2214yescomplemented
74#10622556C2212yes—
75#10622553C2214yes—
76#10622542C2214yescomplemented
77C24×D11C2311yescharacteristic
78C22×Q8×C11C2311yescharacteristic
79C22×D4×C11C2312yes—
80C22×D4×C11C2311yescharacteristic
81C23×C4×C11C2311yescharacteristic
82C23×C4×C11C2312yes—
83C23×C4×C11C2311yescharacteristic
84C23×C4×C11C2311yescharacteristic
85C22×C22⋊D11C2314yes—
86C23×Dic11C2311yescharacteristic
87C23×Dic11C2311yescharacteristic
88C23×Dic11C2311yescharacteristic
89C22×C4×D11—24no—
90C22×C4×D11—44no—
91C22×C4×D11C2312yes—
92C22×C4×D11C2312yes—
93C22×Dic22—24no—
94C22×Dic22—44no—
95C22×Dic22C2314yes—
96C11×#126—28no—
97C11×#125—28no—
98C11×#123—28no—
99C11×#123—28no—
100C11×C22⋊Q8—24no—
101C11×C22⋊Q8—28no—
102C11×#121—24no—
103C4×D4×C11—28no—
104C2×C11×C4⋊C4D418yescomplemented
105C2×C11×C4⋊C4C2312yes—
106C2×C11×C4⋊C4C2312yes—
107C2×C11×C4⋊C4C2311yescharacteristic
108C2×C11×C4⋊C4C2311yescharacteristic
109C2×C11×C4⋊C4C2312yes—
110C2×C11×C4⋊C4C2312yes—
111C2×C11×C4⋊C4C2312yes—
112C2×C11×C4⋊C4C2312yes—
113C2×C11×C22⋊C4C2312yes—
114C2×C11×C22⋊C4C2312yes—
115C2×C11×C22⋊C4C2312yes—
116C2×C11×C22⋊C4C2312yes—
117C2×C11×C22⋊C4C2312yes—
118C2×C42×C11C2312yes—
119C2×C22⋊Dic11C2314yes—
120C2×C22⋊Dic11C2312yes—
121C2×C22⋊Dic11C2312yes—
122C2×C22⋊Dic11C2314yes—
123C2×C22⋊Dic11C2314yes—
124#66999—44no—
125#66991—44no—
126#66990—44no—
127#66988—44no—
128C2×(C2×D11)⋊C4—24no—
129C2×(C2×D11)⋊C4—24no—
130C2×(C2×D11)⋊C4C2314yes—
131C2×(C2×D11)⋊C4C2314yes—
132C2×(C2×D11)⋊C4C2314yes—
133C2×(C2×D11)⋊C4C2314yes—
134C2×(C2×D11)⋊C4C2314yes—
135#66979—44no—
136C2×C4⋊Dic11C2314yes—
137C2×C4⋊Dic11C2314yes—
138C2×C4⋊Dic11C2312yes—
139C2×C4⋊Dic11C2312yes—
140#66977—48no—
141C2×Dic11⋊C4—24no—
142C2×Dic11⋊C4—24no—
143C2×Dic11⋊C4C2314yes—
144C2×Dic11⋊C4C2312yes—
145C2×Dic11⋊C4C2312yes—
146C2×Dic11⋊C4C2314yes—
147C2×Dic11⋊C4C2314yes—
148C2×Dic11⋊C4C2314yes—
149C2×C4×Dic11C2314yes—
150#66949—216no—
151#66949—216no—
152C11⋊#95C2314yes—
153C11⋊#95C2314yes—
154C11⋊#95C2314yes—
155C11⋊#95C2314yes—
156C11⋊#95C2314yes—
157C11⋊#95C2314yes—
158C11⋊#95C2314yes—
159C11⋊#95C2312yes—
160C11⋊#95C2312yes—
161#36719—111nomaximal, Sylow
162C24×C11C2412yes—
163C24×C11C2411yescharacteristic
164C23×D11—22no—
165C23×D11—24no—
166C23×D11—22no—
167C23×D11—22no—
168C23×D11—42no—
169C23×D11C2412yes—
170C2×Q8×C11—22no—
171C2×Q8×C11—42no—
172C2×D4×C11—24no—
173C2×D4×C11—24no—
174C2×D4×C11—24no—
175C2×D4×C11—22no—
176C2×D4×C11—42no—
177C22×C4×C11—22no—
178C22×C4×C11—22no—
179C22×C4×C11—24no—
180C22×C4×C11—42no—
181C22×C4×C11—42no—
182C22×C4×C11—44no—
183C22×C4×C11C2×D414yes—
184C22×C4×C11C2×D414yes—
185C22×C4×C11C2×D414yes—
186C22×C4×C11C2412yes—
187C22×C4×C11C2412yes—
188C22×C4×C11C2412yes—
189C22×C4×C11C2411yescharacteristic
190C22×C4×C11C2411yescharacteristic
191C22×C4×C11C2412yes—
192C22×C4×C11C2412yes—
193C2×C22⋊D11—28no—
194C2×C22⋊D11—44no—
195C2×C22⋊D11—44no—
196C22×Dic11—24no—
197C22×Dic11—22no—
198C22×Dic11—22no—
199C22×Dic11—22no—
200C22×Dic11—22no—
201C22×Dic11—22no—
202C22×Dic11—42no—
203C22×Dic11C2414yes—
204C22×Dic11C2414yes—
205C22×Dic11C2412yes—
206C22×Dic11C2412yes—
207C22×Dic11C2412yes—
208C2×C4×D11—24no—
209C2×C4×D11—24no—
210C2×C4×D11—24no—
211C2×C4×D11—24no—
212C2×C4×D11—42no—
213C2×C4×D11—42no—
214C2×C4×D11—416no—
215C2×Dic22—28no—
216C2×Dic22—28no—
217C2×Dic22—44no—
218C2×Dic22—416no—
219C11×C4⋊C4—24no—
220C11×C4⋊C4—22no—
221C11×C4⋊C4—24no—
222C11×C4⋊C4—24no—
223C11×C4⋊C4—22no—
224C11×C4⋊C4—24no—
225C11×C4⋊C4C2×D418yes—
226C11×C4⋊C4C2×D418yes—
227C11×C22⋊C4—24no—
228C11×C22⋊C4—24no—
229C11×C22⋊C4—24no—
230C11×C22⋊C4—24no—
231C11×C22⋊C4—24no—
232C42×C11—24no—
233C22⋊Dic11—28no—
234C22⋊Dic11—24no—
235C22⋊Dic11—24no—
236C22⋊Dic11—44no—
237C22⋊Dic11—44no—
238(C2×D11)⋊C4—28no—
239(C2×D11)⋊C4—28no—
240(C2×D11)⋊C4—28no—
241(C2×D11)⋊C4—44no—
242(C2×D11)⋊C4—44no—
243C4⋊Dic11—44no—
244C4⋊Dic11—44no—
245C4⋊Dic11—42no—
246C4⋊Dic11—42no—
247Dic11⋊C4—28no—
248Dic11⋊C4—28no—
249Dic11⋊C4—24no—
250Dic11⋊C4—24no—
251Dic11⋊C4—44no—
252Dic11⋊C4—44no—
253C4×Dic11—44no—
254C2×#539D1111yescharacteristic, complemented
255C22×C22⋊Q8—111no—
256#2848—111no—
257#2847—111no—
258#2704—114no—
259#2702—114no—
260#2683—114no—
261#2681—114no—
262#2627—111no—
263#2618—111no—
264#2534—112no—
265#2413—112no—
266#2411—112no—
267#2409—112no—
268#2316—111no—
269C23×C11—22no—
270C23×C11—22no—
271C23×C11—22no—
272C23×C11—24no—
273C23×C11—22no—
274C23×C11—24no—
275C23×C11—22no—
276C23×C11C22×D412yes—
277C23×C11H(5,𝔽2)12yes—
278C23×C112−1+412yes—
279C23×C11C2511yescharacteristic
280C22×D11—28no—
281C22×D11—22no—
282C22×D11—22no—
283C22×D11—22no—
284C22×D11—22no—
285C22×D11—22no—
286C22×D11—22no—
287C22×D11—48no—
288C22×D11—48no—
289C22×D11—44no—
290C22×D11—44no—
291C22×D112−1+414yes—
292Q8×C11—82no—
293D4×C11—48no—
294D4×C11—82no—
295C2×C4×C11—28no—
296C2×C4×C11—22no—
297C2×C4×C11—24no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—22no—
303C2×C4×C11—22no—
304C2×C4×C11—24no—
305C2×C4×C11—22no—
306C2×C4×C11—24no—
307C2×C4×C11—22no—
308C2×C4×C11—44no—
309C2×C4×C11—44no—
310C2×C4×C11—84no—
311C2×C4×C11C22×D414yes—
312C2×C4×C11C22×D412yes—
313C2×C4×C11C22×D412yes—
314C2×C4×C11C22×D414yes—
315C22⋊D11—88no—
316C2×Dic11—28no—
317C2×Dic11—22no—
318C2×Dic11—22no—
319C2×Dic11—22no—
320C2×Dic11—22no—
321C2×Dic11—24no—
322C2×Dic11—24no—
323C2×Dic11—24no—
324C2×Dic11—22no—
325C2×Dic11—24no—
326C2×Dic11—24no—
327C2×Dic11—24no—
328C2×Dic11—22no—
329C2×Dic11—24no—
330C2×Dic11—44no—
331C2×Dic11—44no—
332C2×Dic11H(5,𝔽2)14yes—
333C4×D11—48no—
334C4×D11—48no—
335Dic22—416no—
336C23×Q8—111no—
337C24×C4—111no—
338#539—28no—
339C2×#126C2×D1112yescomplemented
340C2×#125C2×D1112yescomplemented
341C2×#123—112no—
342C2×#123C2×D1112yes—
343C2×#123C2×D1112yescomplemented
344C2×C22⋊Q8—112no—
345C2×C22⋊Q8—114no—
346C2×C22⋊Q8—114no—
347C2×C22⋊Q8—114no—
348C2×C22⋊Q8—228no—
349C2×C22⋊Q8C2×D1111yescharacteristic
350C2×C22⋊Q8C2×D1112yescomplemented
351C2×#121—112no—
352C2×#121C2×D1111yescharacteristic
353C2×#120—112no—
354C2×C4×D4C2×D1112yes—
355C2×#117—112no—
356C22×C4⋊C4—111no—
357C22×C4⋊C4—111no—
358C22×C4⋊C4C2×D1111yescharacteristic
359C22×C22⋊C4—111no—
360C22×C22⋊C4—111no—
361#400—112no—
362#398—112no—
363#398—114no—
364#398—114no—
365#396—114no—
366#396—114no—
367#396—114no—
368#396—114no—
369#395—112no—
370#395—114no—
371#394—112no—
372#394—114no—
373#394—114no—
374#393—114no—
375#391—114no—
376#390—114no—
377#389—114no—
378#389—114no—
379#389—114no—
380#388—114no—
381#388—114no—
382#388—114no—
383#386—112no—
384#386—112no—
385#386—114no—
386#386—114no—
387#385—114no—
388#385—112no—
389#385—112no—
390#381—112no—
391#380—111no—
392#380—111no—
393#380—112no—
394#380—112no—
395#380—112no—
396#379—112no—
397C22×C11—22no—
398C22×C11—22no—
399C22×C11—24no—
400C22×C11—24no—
401C22×C11—42no—
402C22×C11—42no—
403C22×C11—42no—
404C22×C11—44no—
405C22×C11—44no—
406C22×C11#53714yes—
407C22×C11C23×D411yescharacteristic
408C22×C11C2×H(5,𝔽2)11yescharacteristic
409C22×C11C2×H(5,𝔽2)12yes—
410C22×C11C2×2−1+411yescharacteristic
411C22×C11C2×2−1+412yes—
412C2×D11—24no—
413C2×D11—24no—
414C2×D11—24no—
415C2×D11—416no—
416C2×D11—42no—
417C2×D11—42no—
418C2×D11—42no—
419C2×D11—42no—
420C4×C11—24no—
421C4×C11—24no—
422C4×C11—22no—
423C4×C11—22no—
424C4×C11—42no—
425C4×C11—42no—
426C4×C11—42no—
427Dic11—24no—
428Dic11—42no—
429Dic11—42no—
430Dic11—44no—
431Dic11—44no—
432C25—111no—
433C22×Q8—114no—
434C22×Q8—224no—
435C22×Q8—444no—
436C22×Q8C22×D1111yescharacteristic
437C22×D4—114no—
438C22×D4C22×D1112yes—
439C22×D4C22×D1111yescharacteristic
440C23×C4—111no—
441C23×C4—111no—
442C23×C4—111no—
443C23×C4—112no—
444C23×C4—112no—
445C23×C4—224no—
446C23×C4—444no—
447C23×C4C22×D1111yescharacteristic
448C23×C4C22×D1112yes—
449C23×C4C22×D1111yescharacteristic
450C23×C4C22×D1111yescharacteristic
451#126—28no—
452#125—28no—
453#123—28no—
454#123—28no—
455#123—444no—
456C22⋊Q8—24no—
457C22⋊Q8—28no—
458C22⋊Q8—2216no—
459C22⋊Q8—2216no—
460C22⋊Q8—448no—
461C22⋊Q8—444no—
462#121—24no—
463#121—444no—
464#120—444no—
465C4×D4—28no—
466#117—444no—
467C2×C4⋊C4—114no—
468C2×C4⋊C4—112no—
469C2×C4⋊C4—112no—
470C2×C4⋊C4—114no—
471C2×C4⋊C4—114no—
472C2×C4⋊C4—112no—
473C2×C4⋊C4—112no—
474C2×C4⋊C4—114no—
475C2×C4⋊C4—114no—
476C2×C4⋊C4—114no—
477C2×C4⋊C4—224no—
478C2×C4⋊C4—224no—
479C2×C4⋊C4C22⋊D1118yescomplemented
480C2×C4⋊C4C22×D1112yes—
481C2×C4⋊C4C22×D1111yescharacteristic
482C2×C4⋊C4C22×D1112yes—
483C2×C4⋊C4C22×D1111yescharacteristic
484C2×C4⋊C4C22×D1112yes—
485C2×C4⋊C4C22×D1112yes—
486C2×C4⋊C4C22×D1112yes—
487C2×C4⋊C4C22×D1112yes—
488C2×C22⋊C4—112no—
489C2×C22⋊C4—112no—
490C2×C22⋊C4—114no—
491C2×C22⋊C4—114no—
492C2×C22⋊C4—114no—
493C2×C22⋊C4—114no—
494C2×C22⋊C4—114no—
495C2×C22⋊C4—114no—
496C2×C22⋊C4—114no—
497C2×C22⋊C4—114no—
498C2×C22⋊C4—224no—
499C2×C22⋊C4—224no—
500C2×C22⋊C4C22×D1112yes—
501C2×C22⋊C4C22×D1112yes—
502C2×C22⋊C4C22×D1112yes—
503C2×C22⋊C4C22×D1112yes—
504C2×C22⋊C4C22×D1112yes—
505C2×C42—114no—
506C2×C42C22×D1112yes—
507#95—114no—
508#95—112no—
509#95—112no—
510#95—114no—
511#95—114no—
512#95—114no—
513#95—114no—
514#95—114no—
515#95—114no—
516C2×C11—24no—
517C2×C11—82no—
518C2×C11C2×#53711yescharacteristic
519C2×C11#348411yescharacteristic
520C2×C11#348611yescharacteristic
521C2×C11#353612yes—
522C2×C11#353812yes—
523D11—44no—
524C24—112no—
525C24—224no—
526C24—222no—
527C24—222no—
528C24—222no—
529C24—442no—
530C24C23×D1112yes—
531C24C23×D1111yescharacteristic
532C2×Q8—22no—
533C2×Q8—42no—
534C2×Q8—228no—
535C2×Q8—228no—
536C2×Q8—444no—
537C2×Q8—4416no—
538C2×D4—24no—
539C2×D4—24no—
540C2×D4—24no—
541C2×D4—22no—
542C2×D4—42no—
543C2×D4—228no—
544C2×D4—444no—
545C2×D4—444no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—24no—
549C22×C4—42no—
550C22×C4—42no—
551C22×C4—44no—
552C22×C4—112no—
553C22×C4—114no—
554C22×C4—114no—
555C22×C4—112no—
556C22×C4—112no—
557C22×C4—224no—
558C22×C4—224no—
559C22×C4—224no—
560C22×C4—222no—
561C22×C4—222no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—222no—
565C22×C4—224no—
566C22×C4—224no—
567C22×C4—442no—
568C22×C4—442no—
569C22×C4—4416no—
570C22×C4—442no—
571C22×C4C2×C22⋊D1114yes—
572C22×C4C2×C22⋊D1114yes—
573C22×C4C2×C22⋊D1114yes—
574C22×C4C23×D1112yes—
575C22×C4C23×D1112yes—
576C22×C4C23×D1112yes—
577C22×C4C23×D1112yes—
578C22×C4C23×D1111yescharacteristic
579C22×C4C23×D1111yescharacteristic
580C22×C4C23×D1112yes—
581C4⋊C4—24no—
582C4⋊C4—22no—
583C4⋊C4—24no—
584C4⋊C4—24no—
585C4⋊C4—22no—
586C4⋊C4—24no—
587C4⋊C4—228no—
588C4⋊C4—228no—
589C4⋊C4—224no—
590C4⋊C4—224no—
591C4⋊C4—444no—
592C4⋊C4—442no—
593C4⋊C4—444no—
594C4⋊C4—444no—
595C4⋊C4—442no—
596C4⋊C4—444no—
597C4⋊C4C2×C22⋊D1118yes—
598C4⋊C4C2×C22⋊D1118yes—
599C22⋊C4—24no—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—24no—
603C22⋊C4—24no—
604C22⋊C4—228no—
605C22⋊C4—228no—
606C22⋊C4—224no—
607C22⋊C4—224no—
608C22⋊C4—228no—
609C22⋊C4—228no—
610C22⋊C4—444no—
611C22⋊C4—444no—
612C22⋊C4—444no—
613C22⋊C4—444no—
614C42—24no—
615C42—444no—
616C11#3671911yescharacteristic, complemented, Sylow
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—24no—
622C23—24no—
623C23—22no—
624C23—114no—
625C23—228no—
626C23—222no—
627C23—222no—
628C23—222no—
629C23—222no—
630C23—222no—
631C23—222no—
632C23—448no—
633C23—448no—
634C23—444no—
635C23—444no—
636C23#6704212yes—
637C23#6704312yes—
638C23C22×C22⋊D1112yes—
639C23C24×D1111yescharacteristic
640Q8—82no—
641Q8—4416no—
642D4—48no—
643D4—82no—
644D4—888no—
645C2×C4—28no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—84no—
661C2×C4—114no—
662C2×C4—228no—
663C2×C4—222no—
664C2×C4—222no—
665C2×C4—224no—
666C2×C4—224no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—224no—
670C2×C4—224no—
671C2×C4—224no—
672C2×C4—224no—
673C2×C4—224no—
674C2×C4—222no—
675C2×C4—222no—
676C2×C4—448no—
677C2×C4—448no—
678C2×C4—444no—
679C2×C4—444no—
680C2×C4C22×C22⋊D1114yes—
681C2×C4C22×C22⋊D1114yes—
682C2×C4C22×C22⋊D1112yes—
683C2×C4C22×C22⋊D1112yes—
684C22—22no—
685C22—22no—
686C22—24no—
687C22—24no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—44no—
692C22—44no—
693C22—224no—
694C22—224no—
695C22—224no—
696C22—4416no—
697C22—442no—
698C22—442no—
699C22—442no—
700C22—442no—
701C22#1062336414yes—
702C22C2×#6704211yescharacteristic
703C22C2×#6704311yescharacteristic
704C22D11×H(5,𝔽2)12yes—
705C22D11×2−1+412yes—
706C22C23×C22⋊D1111yescharacteristic
707C4—24no—
708C4—24no—
709C4—22no—
710C4—22no—
711C4—42no—
712C4—42no—
713C4—42no—
714C4—224no—
715C4—442no—
716C4—442no—
717C4—444no—
718C4—444no—
719C2—24no—
720C2—82no—
721C2—444no—
722C2C2×#1062336411yescharacteristic
723C2#1308224711yescharacteristic
724C2#1308226411yescharacteristic
725C2#1308284012yes—
726C2#1308286312yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC2×C11×#539C2
prime radical#13076895C2
hypercenterC2×#539D11
hypocenterC11#36719
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. C22×#66949C2semidirect
2. #13076900C2semidirect
4. #13075268C2semidirect
5. #13075238C2semidirect
6. #13074986C2semidirect
7. #13074968C2semidirect
8. #13074431C2semidirect
9. #13074360C2semidirect
10. #13073502C2semidirect
11. #13072024C2semidirect
12. #13072002C2semidirect
13. #13071981C2semidirect
14. #13071234C2semidirect
15. C2×C11×#539C2semidirect
19. C2×C11×#126C22semidirect
20. C2×C11×#125C22semidirect
22. C2×C11×#123C22semidirect
24. C2×C11×C22⋊Q8C22semidirect
35. C2×#66977C22semidirect
41. #10622842C22semidirect
42. #10622835C22semidirect
55. #10622598C22semidirect
56. #10622598C22semidirect
57. #10622597C22semidirect
58. #10622597C22semidirect
59. #10622595C22semidirect
60. #10622593C22semidirect
61. #10622592C22semidirect
62. #10622585C22semidirect
68. #10622561C22semidirect
69. #10622561C22semidirect
70. #10622560C22semidirect
73. #10622558C22semidirect
76. #10622542C22semidirect
104. C2×C11×C4⋊C4D4semidirect
254. C2×#539D11semidirect
339. C2×#126C2×D11semidirect
340. C2×#125C2×D11semidirect
343. C2×#123C2×D11semidirect
350. C2×C22⋊Q8C2×D11semidirect
479. C2×C4⋊C4C22⋊D11semidirect
616. C11#36719semidirect

Maximal subgroups

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

subgroupindex
C22×#669492
#130769002
#130768952
#130752682
#130752382
#130749862
#130749682
#130744312
#130743602
#130735022
#130720242
#130720022
#130719812
#130712342
C2×C11×#5392
#3671911