Finite Group Databasebeta

← #14914564

Subgroups — #14914564

Order 2816.

2742 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66936C211yesmaximal, characteristic
2#13071744C214yesmaximal, complemented
3#13071605C214yesmaximal, complemented
4#13071495C212yesmaximal, complemented
5#13071467C212yesmaximal, complemented
6#13071462C212yesmaximal, complemented
7#13071432C212yesmaximal
8#13071404C214yesmaximal, complemented
9#13071216C211yesmaximal, characteristic, complemented
10#13071143C214yesmaximal, complemented
11#13070997C211yesmaximal, characteristic, complemented
12#13070971C211yesmaximal, characteristic, complemented
13#13070969C211yesmaximal, characteristic, complemented
14C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
15C11×#2312C211yesmaximal, characteristic, complemented
16C23×C22⋊D11C2211yescharacteristic
17C23×C4×D11C2211yescharacteristic
18C22×C11×C22⋊C4C2211yescharacteristic
19C22×C22⋊Dic11C2212yes—
20C22×C22⋊Dic11C2211yescharacteristic
21C22×(C2×D11)⋊C4C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23C22×Dic11⋊C4C2211yescharacteristic
24C2×#66936C4116yescomplemented
25C2×#66936C2212yes—
26C2×#66936C2212yes—
27C2×#66936C2212yes—
28C2×#66936C2212yes—
29C2×(C22⋊D11)⋊C4C2214yes—
30C2×C22⋊C4×D11C2212yes—
31C2×#66930C2212yes—
32C2×#66925C2212yescomplemented
33C2×C42×D11C2212yescomplemented
34C11×#388C2214yescomplemented
35C11×#388C2214yescomplemented
36C11×#380C2212yes—
37C11×#379C2212yes—
38C4×C11×C22⋊C4C2211yescharacteristic
39C4×C11×C22⋊C4C2211yescharacteristic
40C4×C22⋊Dic11C2211yescharacteristic
41C4×C22⋊Dic11C2212yes—
42C4×C22⋊Dic11C2211yescharacteristic
43#10622603C2214yescomplemented
44#10622602C2214yescomplemented
45C4⋊C4×Dic11C2214yescomplemented
46#10622586C2214yescomplemented
47#10622571C2214yes—
48#10622570C2214yes—
49#10622569C2214yes—
50#10622568C2212yes—
51#10622559C2214yescomplemented
52#10622558C2214yescomplemented
53#10622557C2214yescomplemented
54#10622556C2212yes—
55#10622555C2212yes—
56#10622555C2212yes—
57C22⋊C4×Dic11C2212yes—
58C22⋊C4×Dic11C2212yes—
59C22⋊C4×Dic11C2214yescomplemented
60C22⋊C4×Dic11C2214yescomplemented
61C22⋊C4×Dic11C2214yescomplemented
62C4×(C2×D11)⋊C4C2212yescomplemented
63C4×(C2×D11)⋊C4C2212yescomplemented
64#10622546C2214yescomplemented
65C4×Dic11⋊C4C2214yescomplemented
66#10622282C2214yescomplemented
67#10622280C2212yescomplemented
68#10622279C2214yescomplemented
69#10622279C2212yescomplemented
70#10622277C2212yescomplemented
71D11×#95C2212yescomplemented
72#10622266C2214yescomplemented
73#10622266C2214yescomplemented
74#10622265C2214yescomplemented
75#10622262C2214yescomplemented
76C25×C11C2311yescharacteristic
77C24×D11C2311yescharacteristic
78C23×C4×C11C2311yescharacteristic
79C23×C4×C11C2311yescharacteristic
80C22×C22⋊D11—44no—
81C22×C22⋊D11C2×C418yes—
82C22×C22⋊D11C2312yes—
83C22×C22⋊D11C2312yes—
84C23×Dic11C2311yescharacteristic
85C23×Dic11C2314yes—
86C23×Dic11C2311yescharacteristic
87C23×Dic11C2311yescharacteristic
88C22×C4×D11—44no—
89C22×C4×D11C2×C418yescomplemented
90C22×C4×D11C2314yes—
91C22×C4×D11C2311yescharacteristic
92C22×C4×D11C2311yescharacteristic
93C22×C4×D11C2311yescharacteristic
94C22×C4×D11C2311yescharacteristic
95C2×C11×C4⋊C4C2314yes—
96C2×C11×C22⋊C4C2×C418yescomplemented
97C2×C11×C22⋊C4C2312yes—
98C2×C11×C22⋊C4C2312yes—
99C2×C11×C22⋊C4C2314yes—
100C2×C11×C22⋊C4C2314yes—
101C2×C11×C22⋊C4C2312yes—
102C2×C11×C22⋊C4C2312yes—
103C2×C42×C11C2312yes—
104C2×C42×C11C2312yes—
105C2×C22⋊Dic11—28no—
106C2×C22⋊Dic11C2×C418yescomplemented
107C2×C22⋊Dic11C2314yes—
108C2×C22⋊Dic11C2312yes—
109C2×C22⋊Dic11C2312yes—
110C2×C22⋊Dic11C2312yes—
111C2×C22⋊Dic11C2312yes—
112C2×(C2×D11)⋊C4C2×C418yescomplemented
113C2×(C2×D11)⋊C4C2314yes—
114C2×(C2×D11)⋊C4C2314yes—
115C2×(C2×D11)⋊C4C2314yes—
116C2×(C2×D11)⋊C4C2312yes—
117C2×(C2×D11)⋊C4C2312yes—
118C2×C4⋊Dic11C2×C418yescomplemented
119C2×C4⋊Dic11C2312yes—
120C2×C4⋊Dic11C2312yes—
121C2×Dic11⋊C4C2×C418yescomplemented
122C2×Dic11⋊C4C2314yes—
123C2×Dic11⋊C4C2314yes—
124C2×Dic11⋊C4C2314yes—
125C2×Dic11⋊C4C2312yes—
126C2×Dic11⋊C4C2312yes—
127C2×C4×Dic11C2314yes—
128C2×C4×Dic11C2312yes—
129C2×C4×Dic11C2314yes—
130C2×C4×Dic11C2312yes—
131C2×C4×Dic11C2314yes—
132C2×C4×Dic11C2314yes—
133#66936C2×C4116yescomplemented
134#66936C2×C4116yescomplemented
135#66936C2×C4116yescomplemented
136#66936C2×C4116yescomplemented
137(C22⋊D11)⋊C4—48no—
138C22⋊C4×D11—28no—
139#66930—28no—
140#66925—44no—
141C42×D11—44no—
142C11×#95C2312yes—
143C11×#95C2312yes—
144C11×#95C2314yes—
145C11⋊#95C2314yes—
146C11⋊#95C2314yes—
147C11⋊#95C2314yes—
148C11⋊#95C2314yes—
149C11⋊#95C2314yes—
150C11⋊#95C2314yes—
151C11⋊#95C2314yes—
152C11⋊#95C2312yes—
153C11⋊#95C2312yes—
154#34238—111nomaximal, Sylow
155C24×C11—24no—
156C24×C11—42no—
157C24×C11—42no—
158C24×C11C22×C414yes—
159C24×C11C2412yes—
160C24×C11C2411yescharacteristic
161C23×D11—24no—
162C23×D11—24no—
163C23×D11—42no—
164C23×D11C22×C414yes—
165C23×D11C2411yescharacteristic
166C23×D11C2411yescharacteristic
167C22×C4×C11—42no—
168C22×C4×C11—42no—
169C22×C4×C11C22×C414yes—
170C22×C4×C11C22×C414yes—
171C22×C4×C11C2414yes—
172C22×C4×C11C2414yes—
173C22×C4×C11C2411yescharacteristic
174C22×C4×C11C2411yescharacteristic
175C22×C4×C11C2412yes—
176C2×C22⋊D11—28no—
177C2×C22⋊D11—44no—
178C2×C22⋊D11—416no—
179C2×C22⋊D11C22×C418yes—
180C2×C22⋊D11C22×C418yes—
181C22×Dic11—28no—
182C22×Dic11—24no—
183C22×Dic11—42no—
184C22×Dic11—42no—
185C22×Dic11—44no—
186C22×Dic11—44no—
187C22×Dic11C22×C414yes—
188C22×Dic11C22×C414yes—
189C22×Dic11C22×C414yes—
190C22×Dic11C2414yes—
191C22×Dic11C2411yescharacteristic
192C22×Dic11C2412yes—
193C22×Dic11C2412yes—
194C22×Dic11C2411yescharacteristic
195C22×Dic11C2414yes—
196C2×C4×D11—28no—
197C2×C4×D11—24no—
198C2×C4×D11—24no—
199C2×C4×D11—28no—
200C2×C4×D11—42no—
201C2×C4×D11—42no—
202C2×C4×D11—44no—
203C2×C4×D11—416no—
204C2×C4×D11C22×C414yes—
205C2×C4×D11C22×C414yes—
206C2×C4×D11C22×C414yes—
207C2×C4×D11C22×C414yes—
208C11×C4⋊C4—44no—
209C11×C22⋊C4—24no—
210C11×C22⋊C4—24no—
211C11×C22⋊C4—44no—
212C11×C22⋊C4—44no—
213C11×C22⋊C4C22×C418yes—
214C11×C22⋊C4C22×C418yes—
215C42×C11—42no—
216C42×C11—42no—
217C22⋊Dic11—28no—
218C22⋊Dic11—24no—
219C22⋊Dic11C22×C418yes—
220C22⋊Dic11C22×C418yes—
221C22⋊Dic11#4118yes—
222(C2×D11)⋊C4—28no—
223(C2×D11)⋊C4—28no—
224(C2×D11)⋊C4—44no—
225(C2×D11)⋊C4C22×C418yes—
226(C2×D11)⋊C4C22×C418yes—
227C4⋊Dic11C22×C418yes—
228C4⋊Dic11C22×C418yes—
229Dic11⋊C4—28no—
230Dic11⋊C4—44no—
231Dic11⋊C4—44no—
232Dic11⋊C4C22×C418yes—
233Dic11⋊C4C22×C418yes—
234C4×Dic11—28no—
235C4×Dic11—42no—
236C4×Dic11—44no—
237C4×Dic11—42no—
238C4×Dic11—44no—
239C4×Dic11—44no—
240C22×#123—111no—
241#2374—114no—
242#2359—114no—
243#2345—112no—
244#2342—112no—
245#2342—112no—
246D4×C22⋊C4—112no—
247#2335—114no—
248#2313—111no—
249#2312D1111yescharacteristic, complemented
250C4×#123—114no—
251#2280—111no—
252#2274—111no—
253#2273—111no—
254C2×C4×C22⋊C4—111no—
255C23×C11—22no—
256C23×C11—22no—
257C23×C11—22no—
258C23×C11—22no—
259C23×C11—24no—
260C23×C11—24no—
261C23×C11—28no—
262C23×C11—44no—
263C23×C11—44no—
264C23×C11—88no—
265C23×C11C23×C414yes—
266C23×C11C23×C412yes—
267C23×C11C2×#4114yes—
268C23×C11C2511yescharacteristic
269C22×D11—22no—
270C22×D11—22no—
271C22×D11—28no—
272C22×D11—22no—
273C22×D11—22no—
274C22×D11—22no—
275C22×D11—28no—
276C22×D11—44no—
277C22×D11—416no—
278C22×D11C23×C412yes—
279C22×D11C23×C412yes—
280C22×D11H(5,𝔽2)14yes—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—24no—
284C2×C4×C11—24no—
285C2×C4×C11—24no—
286C2×C4×C11—24no—
287C2×C4×C11—24no—
288C2×C4×C11—24no—
289C2×C4×C11—24no—
290C2×C4×C11—44no—
291C2×C4×C11—44no—
292C2×C4×C11C23×C412yes—
293C2×C4×C11C23×C412yes—
294C2×C4×C11C23×C414yes—
295C22⋊D11—216no—
296C22⋊D11—48no—
297C2×Dic11—28no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—24no—
301C2×Dic11—22no—
302C2×Dic11—24no—
303C2×Dic11—22no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—24no—
308C2×Dic11—44no—
309C2×Dic11—44no—
310C2×Dic11—88no—
311C2×Dic11C23×C414yes—
312C2×Dic11C23×C414yes—
313C2×Dic11C23×C412yes—
314C2×Dic11C23×C412yes—
315C2×Dic11C2×#4118yes—
316C4×D11—28no—
317C4×D11—28no—
318C4×D11—44no—
319C4×D11—44no—
320C4×D11—416no—
321C23×D4—111no—
322C24×C4—111no—
323C2×#123—112no—
324C2×#123—112no—
325C2×#123—112no—
326C2×#123—112no—
327C2×#123—1116no—
328C2×C4×D4—114no—
329C2×#117—112no—
330C2×#117—112no—
331C22×C4⋊C4—111no—
332C22×C4⋊C4—111no—
333C22×C22⋊C4—111no—
334C22×C22⋊C4—111no—
335C22×C22⋊C4—112no—
336C22×C22⋊C4—112no—
337C22×C22⋊C4C2×D1111yescharacteristic
338C22×C42—112no—
339#390—114no—
340#389—114no—
341#388—114no—
342#388—114no—
343#388—114no—
344#388—114no—
345#388C2×D1114yescomplemented
346#388C2×D1114yescomplemented
347#387—114no—
348#387—114no—
349#387—114no—
350#387—114no—
351#386—114no—
352#386—114no—
353#385—114no—
354#385—114no—
355#381—112no—
356#381—112no—
357#380—112no—
358#380—112no—
359#380—112no—
360#380C2×D1112yes—
361#379—112no—
362#379C2×D1112yes—
363C4×C4⋊C4—114no—
364C4×C4⋊C4—114no—
365C4×C4⋊C4—114no—
366C4×C22⋊C4—111no—
367C4×C22⋊C4—112no—
368C4×C22⋊C4—111no—
369C4×C22⋊C4—114no—
370C4×C22⋊C4—112no—
371C4×C22⋊C4—112no—
372C4×C22⋊C4—114no—
373C4×C22⋊C4—114no—
374C4×C22⋊C4—112no—
375C4×C22⋊C4—112no—
376C4×C22⋊C4—114no—
377C4×C22⋊C4—112no—
378C4×C22⋊C4C2×D1111yescharacteristic
379C4×C22⋊C4C2×D1111yescharacteristic
380C2×#95—112no—
381C22×C11—22no—
382C22×C11—22no—
383C22×C11—28no—
384C22×C11—24no—
385C22×C11—24no—
386C22×C11—24no—
387C22×C11—44no—
388C22×C11—44no—
389C22×C11—88no—
390C22×C11C4×#4114yes—
391C22×C11C24×C411yescharacteristic
392C22×C11C22×#4112yes—
393C22×C11C2×H(5,𝔽2)12yes—
394C22×C11#58512yes—
395C2×D11—22no—
396C2×D11—22no—
397C2×D11—28no—
398C2×D11—22no—
399C2×D11—22no—
400C2×D11—22no—
401C2×D11—416no—
402C2×D11—44no—
403C2×D11#51814yes—
404C4×C11—22no—
405C4×C11—22no—
406C4×C11—24no—
407C4×C11—44no—
408C4×C11—44no—
409Dic11—24no—
410Dic11—22no—
411Dic11—22no—
412Dic11—24no—
413Dic11—28no—
414Dic11—44no—
415C25—111no—
416C25C22×D1111yescharacteristic
417C22×D4—112no—
418C22×D4—118no—
419C22×D4—112no—
420C22×D4—444no—
421C23×C4—111no—
422C23×C4—111no—
423C23×C4—111no—
424C23×C4—111no—
425C23×C4—111no—
426C23×C4—118no—
427C23×C4—111no—
428C23×C4—111no—
429C23×C4—114no—
430C23×C4—114no—
431C23×C4—444no—
432C23×C4C22×D1111yescharacteristic
433C23×C4C22×D1111yescharacteristic
434#123—1116no—
435#123—1116no—
436#123—1116no—
437#123—1116no—
438C4×D4—448no—
439#117—228no—
440#117—444no—
441C2×C4⋊C4—118no—
442C2×C4⋊C4—118no—
443C2×C4⋊C4—112no—
444C2×C4⋊C4—112no—
445C2×C4⋊C4—112no—
446C2×C4⋊C4—112no—
447C2×C4⋊C4—114no—
448C2×C4⋊C4—114no—
449C2×C4⋊C4—114no—
450C2×C4⋊C4C22×D1114yes—
451C2×C22⋊C4—118no—
452C2×C22⋊C4—112no—
453C2×C22⋊C4—112no—
454C2×C22⋊C4—112no—
455C2×C22⋊C4—118no—
456C2×C22⋊C4—112no—
457C2×C22⋊C4—112no—
458C2×C22⋊C4—112no—
459C2×C22⋊C4—114no—
460C2×C22⋊C4—114no—
461C2×C22⋊C4—114no—
462C2×C22⋊C4—114no—
463C2×C22⋊C4—228no—
464C2×C22⋊C4—228no—
465C2×C22⋊C4C4×D1118yescomplemented
466C2×C22⋊C4C22×D1112yes—
467C2×C22⋊C4C22×D1112yes—
468C2×C22⋊C4C22×D1114yes—
469C2×C22⋊C4C22×D1114yes—
470C2×C22⋊C4C22×D1112yes—
471C2×C22⋊C4C22×D1112yes—
472C2×C42—114no—
473C2×C42—112no—
474C2×C42—114no—
475C2×C42—112no—
476C2×C42—114no—
477C2×C42—114no—
478C2×C42—444no—
479C2×C42C22×D1112yes—
480C2×C42C22×D1112yes—
481#95—112no—
482#95—114no—
483#95—112no—
484#95—114no—
485#95—114no—
486#95—114no—
487#95—114no—
488#95—114no—
489#95—114no—
490#95C22×D1112yes—
491#95C22×D1114yes—
492#95C22×D1112yes—
493C2×C11—24no—
494C2×C11—44no—
495C2×C11C2×C4×#4111yescharacteristic
496C2×C11C2×#51811yescharacteristic
497C2×C11#342811yescharacteristic
498C2×C11#351314yes—
499D11—24no—
500D11—42no—
501C24—24no—
502C24—42no—
503C24—42no—
504C24—111no—
505C24—111no—
506C24—114no—
507C24—224no—
508C24—224no—
509C24—442no—
510C24C2×C4×D1114yes—
511C24C23×D1112yes—
512C24C23×D1111yescharacteristic
513C2×D4—118no—
514C2×D4—118no—
515C2×D4—228no—
516C2×D4—444no—
517C2×D4—4416no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—114no—
521C22×C4—114no—
522C22×C4—111no—
523C22×C4—112no—
524C22×C4—112no—
525C22×C4—111no—
526C22×C4—114no—
527C22×C4—114no—
528C22×C4—114no—
529C22×C4—114no—
530C22×C4—114no—
531C22×C4—114no—
532C22×C4—114no—
533C22×C4—228no—
534C22×C4—224no—
535C22×C4—224no—
536C22×C4—228no—
537C22×C4—228no—
538C22×C4—224no—
539C22×C4—442no—
540C22×C4—442no—
541C22×C4—444no—
542C22×C4—4416no—
543C22×C4—442no—
544C22×C4—442no—
545C22×C4—444no—
546C22×C4—444no—
547C22×C4C2×C4×D1114yes—
548C22×C4C2×C4×D1114yes—
549C22×C4C23×D1114yes—
550C22×C4C23×D1114yes—
551C22×C4C23×D1111yescharacteristic
552C22×C4C23×D1111yescharacteristic
553C22×C4C23×D1112yes—
554C4⋊C4—44no—
555C4⋊C4—118no—
556C4⋊C4—118no—
557C4⋊C4—118no—
558C4⋊C4—118no—
559C4⋊C4—228no—
560C4⋊C4—444no—
561C4⋊C4—444no—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—118no—
567C22⋊C4—118no—
568C22⋊C4—118no—
569C22⋊C4—118no—
570C22⋊C4—118no—
571C22⋊C4—228no—
572C22⋊C4—228no—
573C22⋊C4—228no—
574C22⋊C4—224no—
575C22⋊C4—444no—
576C22⋊C4C2×C4×D1118yes—
577C22⋊C4C2×C4×D1118yes—
578C42—42no—
579C42—42no—
580C42—228no—
581C42—442no—
582C42—444no—
583C42—442no—
584C42—444no—
585C42—444no—
586C11#3423811yescharacteristic, complemented, Sylow
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—24no—
592C23—24no—
593C23—28no—
594C23—44no—
595C23—44no—
596C23—88no—
597C23—112no—
598C23—114no—
599C23—112no—
600C23—228no—
601C23—222no—
602C23—222no—
603C23—228no—
604C23—222no—
605C23—222no—
606C23—222no—
607C23—444no—
608C23—4416no—
609C23C22×C4×D1114yes—
610C23C22×C4×D1112yes—
611C23#41×D1114yes—
612C23C24×D1111yescharacteristic
613D4—2216no—
614D4—448no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—114no—
627C2×C4—112no—
628C2×C4—112no—
629C2×C4—114no—
630C2×C4—118no—
631C2×C4—228no—
632C2×C4—228no—
633C2×C4—228no—
634C2×C4—222no—
635C2×C4—222no—
636C2×C4—224no—
637C2×C4—222no—
638C2×C4—224no—
639C2×C4—222no—
640C2×C4—224no—
641C2×C4—224no—
642C2×C4—224no—
643C2×C4—224no—
644C2×C4—444no—
645C2×C4—444no—
646C2×C4—4416no—
647C2×C4—444no—
648C2×C4—444no—
649C2×C4—888no—
650C2×C4C22×C4×D1114yes—
651C2×C4C22×C4×D1112yes—
652C2×C4C22×C4×D1112yes—
653C22—28no—
654C22—22no—
655C22—22no—
656C22—24no—
657C22—24no—
658C22—24no—
659C22—44no—
660C22—44no—
661C22—88no—
662C22—114no—
663C22—228no—
664C22—222no—
665C22—222no—
666C22—222no—
667C22—222no—
668C22—222no—
669C22—4416no—
670C22—444no—
671C22#1062305314yes—
672C22C23×C4×D1111yescharacteristic
673C22C2×#41×D1112yes—
674C22D11×H(5,𝔽2)12yes—
675C22#1062345512yes—
676C4—22no—
677C4—22no—
678C4—24no—
679C4—44no—
680C4—44no—
681C4—228no—
682C4—224no—
683C4—222no—
684C4—222no—
685C4—224no—
686C4—444no—
687C2—24no—
688C2—44no—
689C2—224no—
690C2—442no—
691C2C2×#1062305311yescharacteristic
692C2D11×#51811yescharacteristic
693C2#1308181411yescharacteristic
694C2#1308255214yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2312C2
socle, cosocleC23×C11C25
prime radicalC23×C22⋊D11C22
hypercenter#2312D11
hypocenterC11#34238
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2312

Complements

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

NH ≅ G/Ntype
2. #13071744C2semidirect
3. #13071605C2semidirect
4. #13071495C2semidirect
5. #13071467C2semidirect
6. #13071462C2semidirect
8. #13071404C2semidirect
9. #13071216C2semidirect
10. #13071143C2semidirect
11. #13070997C2semidirect
12. #13070971C2semidirect
13. #13070969C2semidirect
14. C4×C22⋊C4×D11C2semidirect
15. C11×#2312C2semidirect
24. C2×#66936C4semidirect
32. C2×#66925C22semidirect
33. C2×C42×D11C22semidirect
34. C11×#388C22semidirect
35. C11×#388C22semidirect
43. #10622603C22semidirect
44. #10622602C22semidirect
45. C4⋊C4×Dic11C22semidirect
46. #10622586C22semidirect
51. #10622559C22semidirect
52. #10622558C22semidirect
53. #10622557C22semidirect
59. C22⋊C4×Dic11C22semidirect
60. C22⋊C4×Dic11C22semidirect
61. C22⋊C4×Dic11C22semidirect
62. C4×(C2×D11)⋊C4C22semidirect
63. C4×(C2×D11)⋊C4C22semidirect
64. #10622546C22semidirect
65. C4×Dic11⋊C4C22semidirect
66. #10622282C22semidirect
67. #10622280C22semidirect
68. #10622279C22semidirect
69. #10622279C22semidirect
70. #10622277C22semidirect
71. D11×#95C22semidirect
72. #10622266C22semidirect
73. #10622266C22semidirect
74. #10622265C22semidirect
75. #10622262C22semidirect
89. C22×C4×D11C2×C4semidirect
96. C2×C11×C22⋊C4C2×C4semidirect
106. C2×C22⋊Dic11C2×C4semidirect
112. C2×(C2×D11)⋊C4C2×C4semidirect
118. C2×C4⋊Dic11C2×C4semidirect
121. C2×Dic11⋊C4C2×C4semidirect
133. #66936C2×C4semidirect
134. #66936C2×C4semidirect
135. #66936C2×C4semidirect
136. #66936C2×C4semidirect
249. #2312D11semidirect
345. #388C2×D11semidirect
346. #388C2×D11semidirect
465. C2×C22⋊C4C4×D11semidirect
586. C11#34238semidirect

Maximal subgroups

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

subgroupindex
C22×#669362
#130717442
#130716052
#130714952
#130714672
#130714622
#130714322
#130714042
#130712162
#130711432
#130709972
#130709712
#130709692
C4×C22⋊C4×D112
C11×#23122
#3423811