Finite Group Databasebeta

← #14916513

Subgroups — #14916513

Order 2816.

2502 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66939C211yesmaximal, characteristic
2#13071762C214yesmaximal, complemented
3#13071746C214yesmaximal, complemented
4#13071487C212yesmaximal, complemented
5#13071483C212yesmaximal, complemented
6#13071468C212yesmaximal, complemented
7#13071462C212yesmaximal, complemented
8#13071411C214yesmaximal, complemented
9#13071399C214yesmaximal, complemented
10#13071214C211yesmaximal, characteristic, complemented
11#13071197C211yesmaximal, characteristic
12#13071192C211yesmaximal, characteristic
13#13070994C211yesmaximal, characteristic, complemented
14#13070994C211yesmaximal, characteristic, complemented
15C11×#2312C211yesmaximal, characteristic, complemented
16C23×C22⋊D11C2211yescharacteristic
17C24×Dic11C2211yescharacteristic
18C22×C11×C22⋊C4C2211yescharacteristic
19C22×(C2×D11)⋊C4C2211yescharacteristic
20C22×(C2×D11)⋊C4C2211yescharacteristic
21C22×C4⋊Dic11C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23C2×#66939C4116yescomplemented
24C2×#66939C2212yes—
25C2×#66939C2212yes—
26C2×#66939C2212yes—
27C2×#66939C2212yes—
28C2×C22⋊C4×D11C2212yes—
29C2×#66930C2212yes—
30C2×#66930C2212yes—
31C2×#66930C2212yes—
32C11×#388C2214yescomplemented
33C11×#388C2214yescomplemented
34C11×#380C2212yes—
35C11×#379C2211yescharacteristic
36C11×#379C2211yescharacteristic
37C4×C11×C22⋊C4C2212yes—
38#10622860C2211yescharacteristic
39#10622860C2211yescharacteristic
40#10622825C2212yes—
41C4×C22⋊Dic11C2212yes—
42#10622603C2214yescomplemented
43#10622602C2214yescomplemented
44C4⋊C4×Dic11C2214yescomplemented
45#10622586C2214yescomplemented
46#10622570C2214yes—
47#10622570C2214yes—
48#10622569C2214yes—
49#10622569C2214yes—
50#10622568C2212yes—
51#10622564C2214yescomplemented
52#10622564C2214yescomplemented
53#10622556C2212yes—
54#10622556C2212yes—
55#10622556C2212yes—
56#10622555C2212yescomplemented
57#10622555C2212yescomplemented
58#10622555C2212yescomplemented
59#10622555C2212yescomplemented
60C22⋊C4×Dic11C2212yescomplemented
61C22⋊C4×Dic11C2212yescomplemented
62C22⋊C4×Dic11C2212yescomplemented
63C22⋊C4×Dic11C2212yescomplemented
64#10622553C2214yescomplemented
65C4×(C2×D11)⋊C4C2214yescomplemented
66C4×C4⋊Dic11C2214yescomplemented
67#10622541C2214yescomplemented
68#10622283C2214yescomplemented
69#10622282C2214yescomplemented
70#10622281C2214yescomplemented
71#10622279C2214yescomplemented
72#10622267C2214yescomplemented
73#10622267C2214yescomplemented
74#10622266C2214yescomplemented
75#10622266C2214yescomplemented
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×Dic11—44no—
85C23×Dic11C2×C418yescomplemented
86C23×Dic11C2311yescharacteristic
87C23×Dic11C2311yescharacteristic
88C23×Dic11C2311yescharacteristic
89C23×Dic11C2311yescharacteristic
90C23×Dic11C2311yescharacteristic
91C23×Dic11C2311yescharacteristic
92C23×Dic11C2311yescharacteristic
93C22×C4×D11C2314yes—
94C2×C11×C4⋊C4C2314yes—
95C2×C11×C22⋊C4C2×C418yescomplemented
96C2×C11×C22⋊C4C2312yes—
97C2×C11×C22⋊C4C2312yes—
98C2×C11×C22⋊C4C2312yes—
99C2×C11×C22⋊C4C2312yes—
100C2×C11×C22⋊C4C2312yes—
101C2×C11×C22⋊C4C2312yes—
102C2×C11×C22⋊C4C2312yes—
103C2×C11×C22⋊C4C2312yes—
104C2×C42×C11C2314yes—
105C2×C22⋊Dic11C2312yes—
106C2×C22⋊Dic11C2312yes—
107C2×C22⋊Dic11C2312yes—
108C2×C22⋊Dic11C2312yes—
109C2×C22⋊Dic11C2312yes—
110C2×C22⋊Dic11C2312yes—
111C2×(C2×D11)⋊C4C2×C418yes—
112C2×(C2×D11)⋊C4C2×C418yes—
113C2×(C2×D11)⋊C4C2314yes—
114C2×(C2×D11)⋊C4C2314yes—
115C2×(C2×D11)⋊C4C2314yes—
116C2×(C2×D11)⋊C4C2312yes—
117C2×(C2×D11)⋊C4C2312yes—
118C2×(C2×D11)⋊C4C2312yes—
119C2×(C2×D11)⋊C4C2312yes—
120C2×C4⋊Dic11C2×C418yescomplemented
121C2×C4⋊Dic11C2×C418yescomplemented
122C2×C4⋊Dic11C2314yes—
123C2×C4⋊Dic11C2312yes—
124C2×C4⋊Dic11C2312yes—
125C2×C4⋊Dic11C2312yes—
126C2×C4⋊Dic11C2312yes—
127C2×Dic11⋊C4C2314yes—
128C2×Dic11⋊C4C2314yes—
129C2×Dic11⋊C4C2314yes—
130C2×C4×Dic11C2314yes—
131C2×C4×Dic11C2314yes—
132C2×C4×Dic11C2314yes—
133C2×C4×Dic11C2314yes—
134#66939C2×C4116yescomplemented
135#66939C2×C4116yescomplemented
136#66939C2×C4116yescomplemented
137#66939C2×C4116yescomplemented
138C22⋊C4×D11—44no—
139#66930—44no—
140#66930—44no—
141#66930—44no—
142C11×#95C2314yes—
143C11×#95C2314yes—
144C11⋊#95C2314yes—
145C11⋊#95C2314yes—
146C11⋊#95C2314yes—
147C11⋊#95C2314yes—
148C11⋊#95C2314yes—
149C11⋊#95C2314yes—
150C11⋊#95C2314yes—
151C11⋊#95C2314yes—
152#34357—111nomaximal, Sylow
153C24×C11—24no—
154C24×C11—42no—
155C24×C11—42no—
156C24×C11C22×C414yes—
157C24×C11C2411yescharacteristic
158C24×C11C2411yescharacteristic
159C24×C11C2411yescharacteristic
160C23×D11—24no—
161C23×D11—42no—
162C23×D11—42no—
163C23×D11C22×C414yes—
164C23×D11C2412yes—
165C22×C4×C11—42no—
166C22×C4×C11—42no—
167C22×C4×C11C22×C414yes—
168C22×C4×C11C22×C414yes—
169C22×C4×C11C2414yes—
170C22×C4×C11C2414yes—
171C22×C4×C11C2412yes—
172C22×C4×C11C2412yes—
173C2×C22⋊D11—416no—
174C2×C22⋊D11—42no—
175C2×C22⋊D11—42no—
176C2×C22⋊D11—42no—
177C2×C22⋊D11—42no—
178C2×C22⋊D11C22×C418yes—
179C2×C22⋊D11C22×C418yes—
180C22×Dic11—24no—
181C22×Dic11—24no—
182C22×Dic11—24no—
183C22×Dic11—416no—
184C22×Dic11—42no—
185C22×Dic11—42no—
186C22×Dic11—42no—
187C22×Dic11—42no—
188C22×Dic11C22×C414yes—
189C22×Dic11C22×C414yes—
190C22×Dic11C22×C414yes—
191C22×Dic11C22×C414yes—
192C22×Dic11C22×C414yes—
193C22×Dic11C22×C414yes—
194C22×Dic11C22×C414yes—
195C22×Dic11C2414yes—
196C22×Dic11C2414yes—
197C22×Dic11C2411yescharacteristic
198C22×Dic11C2411yescharacteristic
199C22×Dic11C2412yes—
200C22×Dic11C2411yescharacteristic
201C22×Dic11C2411yescharacteristic
202C2×C4×D11—44no—
203C2×C4×D11—44no—
204C2×C4×D11—44no—
205C11×C4⋊C4—44no—
206C11×C22⋊C4—24no—
207C11×C22⋊C4—24no—
208C11×C22⋊C4—42no—
209C11×C22⋊C4—42no—
210C11×C22⋊C4—42no—
211C11×C22⋊C4—42no—
212C11×C22⋊C4C22×C418yes—
213C11×C22⋊C4C22×C418yes—
214C42×C11—44no—
215C22⋊Dic11—24no—
216C22⋊Dic11—24no—
217C22⋊Dic11—42no—
218C22⋊Dic11—42no—
219C22⋊Dic11—42no—
220C22⋊Dic11—42no—
221(C2×D11)⋊C4—44no—
222(C2×D11)⋊C4—44no—
223(C2×D11)⋊C4—44no—
224(C2×D11)⋊C4C22×C418yes—
225(C2×D11)⋊C4C22×C418yes—
226(C2×D11)⋊C4C22×C418yes—
227(C2×D11)⋊C4C22×C418yes—
228C4⋊Dic11—44no—
229C4⋊Dic11C22×C418yes—
230C4⋊Dic11C22×C418yes—
231C4⋊Dic11C22×C418yes—
232C4⋊Dic11C22×C418yes—
233Dic11⋊C4—44no—
234Dic11⋊C4—44no—
235Dic11⋊C4—44no—
236C4×Dic11—44no—
237C4×Dic11—44no—
238C4×Dic11—44no—
239C4×Dic11—44no—
240C22×#123—111no—
241#2376—114no—
242#2374—114no—
243#2344—112no—
244#2344—112no—
245#2342—112no—
246#2342—112no—
247#2335—114no—
248#2335—114no—
249#2312—111no—
250#2312D1111yescharacteristic, complemented
251#2309—111no—
252#2308—111no—
253#2280—111no—
254#2280—111no—
255C23×C11—22no—
256C23×C11—22no—
257C23×C11—28no—
258C23×C11—22no—
259C23×C11—22no—
260C23×C11—22no—
261C23×C11—22no—
262C23×C11—22no—
263C23×C11—22no—
264C23×C11—44no—
265C23×C11—44no—
266C23×C11—416no—
267C23×C11C23×C412yes—
268C23×C11C23×C412yes—
269C23×C11C23×C412yes—
270C23×C11H(5,𝔽2)14yes—
271C23×C11C2511yescharacteristic
272C22×D11—22no—
273C22×D11—22no—
274C22×D11—24no—
275C22×D11—24no—
276C22×D11—28no—
277C22×D11—44no—
278C22×D11—44no—
279C22×D11—88no—
280C22×D11C23×C414yes—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
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—44no—
290C2×C4×C11—44no—
291C2×C4×C11C23×C414yes—
292C2×C4×C11C23×C414yes—
293C22⋊D11—48no—
294C22⋊D11—48no—
295C2×Dic11—28no—
296C2×Dic11—28no—
297C2×Dic11—28no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—24no—
310C2×Dic11—44no—
311C2×Dic11—44no—
312C2×Dic11—44no—
313C2×Dic11—44no—
314C2×Dic11C23×C414yes—
315C2×Dic11C23×C412yes—
316C2×Dic11C23×C412yes—
317C2×Dic11C23×C412yes—
318C2×Dic11C23×C412yes—
319C4×D11—88no—
320C23×D4—111no—
321C24×C4—111no—
322C2×#123—112no—
323C2×#123—112no—
324C2×#123—112no—
325C2×#123—112no—
326C2×#123—1116no—
327C2×#117—112no—
328C2×#117—112no—
329C2×#117—112no—
330C22×C4⋊C4—111no—
331C22×C4⋊C4—111no—
332C22×C22⋊C4—111no—
333C22×C22⋊C4—111no—
334C22×C22⋊C4—112no—
335C22×C22⋊C4C2×D1111yescharacteristic
336#390—114no—
337#390—114no—
338#389—114no—
339#389—114no—
340#388—114no—
341#388—114no—
342#388—114no—
343#388—114no—
344#388—114no—
345#388—114no—
346#388C2×D1114yescomplemented
347#388C2×D1114yescomplemented
348#387—114no—
349#387—114no—
350#387—114no—
351#387—114no—
352#386—114no—
353#386—114no—
354#385—114no—
355#385—114no—
356#381—112no—
357#381—112no—
358#381—112no—
359#380—112no—
360#380—112no—
361#380—112no—
362#380—112no—
363#380—112no—
364#380C2×D1112yes—
365#379—111no—
366#379—111no—
367#379—112no—
368#379C2×D1111yescharacteristic
369#379C2×D1111yescharacteristic
370C4×C4⋊C4—114no—
371C4×C4⋊C4—114no—
372C4×C22⋊C4—112no—
373C4×C22⋊C4—112no—
374C4×C22⋊C4—112no—
375C4×C22⋊C4—112no—
376C4×C22⋊C4—112no—
377C4×C22⋊C4—114no—
378C4×C22⋊C4—114no—
379C4×C22⋊C4C2×D1112yes—
380C22×C11—22no—
381C22×C11—22no—
382C22×C11—28no—
383C22×C11—22no—
384C22×C11—22no—
385C22×C11—22no—
386C22×C11—22no—
387C22×C11—22no—
388C22×C11—22no—
389C22×C11—416no—
390C22×C11—44no—
391C22×C11—44no—
392C22×C11#51814yes—
393C22×C11C24×C411yescharacteristic
394C22×C11C2×H(5,𝔽2)12yes—
395C22×C11#58512yes—
396C22×C11#58512yes—
397C2×D11—24no—
398C2×D11—24no—
399C2×D11—24no—
400C2×D11—44no—
401C2×D11—44no—
402C2×D11—88no—
403C4×C11—24no—
404C4×C11—24no—
405C4×C11—44no—
406C4×C11—44no—
407Dic11—22no—
408Dic11—22no—
409Dic11—22no—
410Dic11—22no—
411Dic11—24no—
412Dic11—44no—
413Dic11—44no—
414C25—111no—
415C25C22×D1111yescharacteristic
416C22×D4—118no—
417C22×D4—112no—
418C22×D4—112no—
419C22×D4—444no—
420C23×C4—111no—
421C23×C4—111no—
422C23×C4—111no—
423C23×C4—118no—
424C23×C4—111no—
425C23×C4—111no—
426C23×C4—111no—
427C23×C4—111no—
428C23×C4—114no—
429C23×C4—444no—
430C23×C4C22×D1111yescharacteristic
431C23×C4C22×D1111yescharacteristic
432#123—1116no—
433#123—1116no—
434#123—1116no—
435#123—1116no—
436#117—444no—
437#117—444no—
438#117—444no—
439C2×C4⋊C4—118no—
440C2×C4⋊C4—118no—
441C2×C4⋊C4—112no—
442C2×C4⋊C4—112no—
443C2×C4⋊C4—112no—
444C2×C4⋊C4—112no—
445C2×C4⋊C4—114no—
446C2×C4⋊C4—114no—
447C2×C4⋊C4—114no—
448C2×C4⋊C4—114no—
449C2×C4⋊C4C22×D1114yes—
450C2×C22⋊C4—118no—
451C2×C22⋊C4—118no—
452C2×C22⋊C4—112no—
453C2×C22⋊C4—112no—
454C2×C22⋊C4—112no—
455C2×C22⋊C4—112no—
456C2×C22⋊C4—112no—
457C2×C22⋊C4—112no—
458C2×C22⋊C4—112no—
459C2×C22⋊C4—112no—
460C2×C22⋊C4—112no—
461C2×C22⋊C4—112no—
462C2×C22⋊C4—114no—
463C2×C22⋊C4—114no—
464C2×C22⋊C4—114no—
465C2×C22⋊C4—444no—
466C2×C22⋊C4C4×D1118yescomplemented
467C2×C22⋊C4C22×D1112yes—
468C2×C22⋊C4C22×D1112yes—
469C2×C22⋊C4C22×D1112yes—
470C2×C22⋊C4C22×D1112yes—
471C2×C22⋊C4C22×D1112yes—
472C2×C22⋊C4C22×D1112yes—
473C2×C22⋊C4C22×D1112yes—
474C2×C22⋊C4C22×D1112yes—
475C2×C42—114no—
476C2×C42—114no—
477C2×C42—114no—
478C2×C42—114no—
479C2×C42C22×D1114yes—
480#95—114no—
481#95—114no—
482#95—114no—
483#95—114no—
484#95—114no—
485#95—114no—
486#95—114no—
487#95—114no—
488#95C22×D1114yes—
489#95C22×D1114yes—
490C2×C11—24no—
491C2×C11—42no—
492C2×C11—42no—
493C2×C11C2×#51811yescharacteristic
494C2×C11#342811yescharacteristic
495C2×C11#342811yescharacteristic
496C2×C11#353314yes—
497D11—44no—
498C24—24no—
499C24—42no—
500C24—42no—
501C24—112no—
502C24—114no—
503C24—224no—
504C24—442no—
505C24—442no—
506C24C2×C4×D1114yes—
507C24C23×D1111yescharacteristic
508C24C23×D1111yescharacteristic
509C24C23×D1111yescharacteristic
510C2×D4—118no—
511C2×D4—118no—
512C2×D4—4416no—
513C2×D4—442no—
514C2×D4—442no—
515C2×D4—442no—
516C2×D4—442no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—114no—
520C22×C4—114no—
521C22×C4—114no—
522C22×C4—111no—
523C22×C4—111no—
524C22×C4—112no—
525C22×C4—111no—
526C22×C4—111no—
527C22×C4—114no—
528C22×C4—114no—
529C22×C4—114no—
530C22×C4—114no—
531C22×C4—114no—
532C22×C4—114no—
533C22×C4—224no—
534C22×C4—224no—
535C22×C4—224no—
536C22×C4—444no—
537C22×C4—444no—
538C22×C4—444no—
539C22×C4—4416no—
540C22×C4—442no—
541C22×C4—442no—
542C22×C4—442no—
543C22×C4—442no—
544C22×C4C2×C4×D1114yes—
545C22×C4C2×C4×D1114yes—
546C22×C4C23×D1114yes—
547C22×C4C23×D1114yes—
548C22×C4C23×D1112yes—
549C22×C4C23×D1112yes—
550C4⋊C4—44no—
551C4⋊C4—118no—
552C4⋊C4—118no—
553C4⋊C4—118no—
554C4⋊C4—118no—
555C4⋊C4—444no—
556C4⋊C4—444no—
557C4⋊C4—444no—
558C4⋊C4—444no—
559C22⋊C4—24no—
560C22⋊C4—24no—
561C22⋊C4—42no—
562C22⋊C4—42no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—118no—
566C22⋊C4—118no—
567C22⋊C4—118no—
568C22⋊C4—118no—
569C22⋊C4—224no—
570C22⋊C4—224no—
571C22⋊C4—444no—
572C22⋊C4—444no—
573C22⋊C4—444no—
574C22⋊C4—442no—
575C22⋊C4—442no—
576C22⋊C4—442no—
577C22⋊C4—442no—
578C22⋊C4C2×C4×D1118yes—
579C22⋊C4C2×C4×D1118yes—
580C42—44no—
581C42—444no—
582C42—444no—
583C42—444no—
584C42—444no—
585C11#3435711yescharacteristic, complemented, Sylow
586C23—22no—
587C23—22no—
588C23—28no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—44no—
596C23—44no—
597C23—416no—
598C23—114no—
599C23—222no—
600C23—222no—
601C23—224no—
602C23—224no—
603C23—228no—
604C23—444no—
605C23—444no—
606C23—888no—
607C23C22×C4×D1112yes—
608C23C22×C4×D1112yes—
609C23C22×C4×D1112yes—
610C23#6704214yes—
611C23C24×D1111yescharacteristic
612D4—448no—
613D4—448no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—112no—
625C2×C4—112no—
626C2×C4—112no—
627C2×C4—112no—
628C2×C4—114no—
629C2×C4—228no—
630C2×C4—228no—
631C2×C4—228no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—222no—
635C2×C4—222no—
636C2×C4—222no—
637C2×C4—222no—
638C2×C4—224no—
639C2×C4—224no—
640C2×C4—224no—
641C2×C4—224no—
642C2×C4—224no—
643C2×C4—224no—
644C2×C4—444no—
645C2×C4—444no—
646C2×C4—444no—
647C2×C4—444no—
648C2×C4—888no—
649C2×C4C22×C4×D1114yes—
650C2×C4C22×C4×D1114yes—
651C22—28no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—22no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—416no—
661C22—44no—
662C22—44no—
663C22—224no—
664C22—224no—
665C22—224no—
666C22—444no—
667C22—444no—
668C22—888no—
669C22#1062305214yes—
670C22C23×C4×D1111yescharacteristic
671C22C2×#6704212yes—
672C22#1062345512yes—
673C22#1062345512yes—
674C4—24no—
675C4—24no—
676C4—44no—
677C4—44no—
678C4—222no—
679C4—222no—
680C4—222no—
681C4—222no—
682C4—224no—
683C4—444no—
684C4—444no—
685C2—24no—
686C2—42no—
687C2—42no—
688C2—444no—
689C2C2×#1062305211yescharacteristic
690C2#1308181411yescharacteristic
691C2#1308181411yescharacteristic
692C2#1308278414yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2312C2
socle, cosocleC23×C11C25
prime radicalC23×C22⋊D11C22
hypercenter#2312D11
hypocenterC11#34357
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2312

Complements

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

NH ≅ G/Ntype
2. #13071762C2semidirect
3. #13071746C2semidirect
4. #13071487C2semidirect
5. #13071483C2semidirect
6. #13071468C2semidirect
7. #13071462C2semidirect
8. #13071411C2semidirect
9. #13071399C2semidirect
10. #13071214C2semidirect
13. #13070994C2semidirect
14. #13070994C2semidirect
15. C11×#2312C2semidirect
23. C2×#66939C4semidirect
32. C11×#388C22semidirect
33. C11×#388C22semidirect
42. #10622603C22semidirect
43. #10622602C22semidirect
44. C4⋊C4×Dic11C22semidirect
45. #10622586C22semidirect
51. #10622564C22semidirect
52. #10622564C22semidirect
56. #10622555C22semidirect
57. #10622555C22semidirect
58. #10622555C22semidirect
59. #10622555C22semidirect
60. C22⋊C4×Dic11C22semidirect
61. C22⋊C4×Dic11C22semidirect
62. C22⋊C4×Dic11C22semidirect
63. C22⋊C4×Dic11C22semidirect
64. #10622553C22semidirect
65. C4×(C2×D11)⋊C4C22semidirect
66. C4×C4⋊Dic11C22semidirect
67. #10622541C22semidirect
68. #10622283C22semidirect
69. #10622282C22semidirect
70. #10622281C22semidirect
71. #10622279C22semidirect
72. #10622267C22semidirect
73. #10622267C22semidirect
74. #10622266C22semidirect
75. #10622266C22semidirect
85. C23×Dic11C2×C4semidirect
95. C2×C11×C22⋊C4C2×C4semidirect
120. C2×C4⋊Dic11C2×C4semidirect
121. C2×C4⋊Dic11C2×C4semidirect
134. #66939C2×C4semidirect
135. #66939C2×C4semidirect
136. #66939C2×C4semidirect
137. #66939C2×C4semidirect
250. #2312D11semidirect
346. #388C2×D11semidirect
347. #388C2×D11semidirect
466. C2×C22⋊C4C4×D11semidirect
585. C11#34357semidirect

Maximal subgroups

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

subgroupindex
C22×#669392
#130717622
#130717462
#130714872
#130714832
#130714682
#130714622
#130714112
#130713992
#130712142
#130711972
#130711922
#130709942
C11×#23122
#3435711