Finite Group Databasebeta

← #14914110

Subgroups — #14914110

Order 2816.

3614 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66983C211yesmaximal, characteristic
2C2×#10623052C211yesmaximal, characteristic, complemented
3C22×#66979C211yesmaximal, characteristic, complemented
4#13071652C214yesmaximal, complemented
5#13071630C214yesmaximal, complemented
6#13071458C214yesmaximal, complemented
7#13071432C214yesmaximal, complemented
8#13071305C214yesmaximal, complemented
9#13071232C211yesmaximal, characteristic, complemented
10#13071196C211yesmaximal, characteristic, complemented
11#13071122C214yesmaximal, complemented
12#13070972C211yesmaximal, characteristic, complemented
13C11×#2280C211yesmaximal, characteristic, complemented
14C24×C4×C11C2211yescharacteristic
15C23×C22⋊D11C2212yes—
16C23×D44C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C2×C11×#117C2211yescharacteristic
19C22×C22⋊Dic11C2212yes—
20C2×#66983C4116yescomplemented
21C2×#66983C2212yes—
22C2×#66983C2212yes—
23C2×#66983C2212yes—
24C2×#66983C2212yes—
25C22×(C2×D11)⋊C4C2212yes—
26C2×#66979—28no—
27C2×#66979C2211yescharacteristic
28C2×#66979C2212yes—
29C2×#66979C2211yescharacteristic
30C2×#66979C2212yescomplemented
31C2×#66979C2212yescomplemented
32C22×C4⋊Dic11C2211yescharacteristic
33C22×C4⋊Dic11C2212yescomplemented
34C22×C4×Dic11C2212yescomplemented
35#10623052—28no—
36C2×#66946C2214yescomplemented
37C2×(C22⋊D11)⋊C4C2218yescomplemented
38C2×C22⋊C4×D11C2214yes—
39C2×C4×D44C2214yescomplemented
40C11×#381C2212yes—
41C11×#380C2212yescomplemented
42C11×#380C2212yescomplemented
43C11×#379C2212yes—
44C4×C11×C22⋊C4C2212yescomplemented
45C4×C11×C22⋊C4C2212yescomplemented
46#10622601C2214yescomplemented
47C4⋊C4×Dic11C2214yescomplemented
48#10622586C2214yescomplemented
49#10622571C2218yescomplemented
50#10622570C2218yescomplemented
51#10622569C2218yescomplemented
52#10622568C2214yes—
53#10622555C2214yes—
54C22⋊C4×Dic11C2214yes—
55#10622552C2214yescomplemented
56C4×C4⋊Dic11C2214yescomplemented
57#10622541C2214yescomplemented
58#10622283C2218yescomplemented
59#10622282C2218yescomplemented
60#10622281C2218yescomplemented
61#10622279C2218yescomplemented
62C25×C11C2311yescharacteristic
63C24×D11C2312yes—
64C23×C4×C11—24no—
65C23×C4×C11—24no—
66C23×C4×C11C2×C418yescomplemented
67C23×C4×C11C2311yescharacteristic
68C23×C4×C11C2311yescharacteristic
69C23×C4×C11C2311yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C23×C4×C11C2311yescharacteristic
72C23×C4×C11C2311yescharacteristic
73C22×C22⋊D11—48no—
74C22×C22⋊D11C2×C4116yescomplemented
75C22×C22⋊D11C2314yes—
76C22×C22⋊D11C2314yes—
77C23×Dic11C2314yes—
78C23×Dic11C2312yes—
79C22×D44—24no—
80C22×D44—24no—
81C22×D44C2×C418yescomplemented
82C22×D44C2312yes—
83C22×D44C2312yes—
84C22×C4×D11C2318yes—
85C11×#117—24no—
86C11×#117—24no—
87C2×C11×C4⋊C4C2312yes—
88C2×C11×C4⋊C4C2312yes—
89C2×C11×C22⋊C4C2312yes—
90C2×C11×C22⋊C4C2314yes—
91C2×C11×C22⋊C4C2312yes—
92C2×C11×C22⋊C4C2314yes—
93C2×C42×C11C2312yes—
94C2×C42×C11C2312yes—
95C2×C22⋊Dic11—28no—
96C2×C22⋊Dic11C2312yes—
97C2×C22⋊Dic11C2314yes—
98C2×C22⋊Dic11C2312yes—
99#66983C2×C4116yescomplemented
100#66983C2×C4116yescomplemented
101#66983C2×C4116yescomplemented
102#66983C2×C4116yescomplemented
103C2×(C2×D11)⋊C4C2×C4116yescomplemented
104C2×(C2×D11)⋊C4C2318yes—
105C2×(C2×D11)⋊C4C2318yes—
106C2×(C2×D11)⋊C4C2318yes—
107C2×(C2×D11)⋊C4C2314yes—
108C2×(C2×D11)⋊C4C2314yes—
109#66979—24no—
110#66979—28no—
111#66979—28no—
112#66979—28no—
113#66979D418yescomplemented
114C2×C4⋊Dic11—28no—
115C2×C4⋊Dic11C2×C418yescomplemented
116C2×C4⋊Dic11C2314yes—
117C2×C4⋊Dic11C2312yes—
118C2×C4⋊Dic11C2312yes—
119C2×C4⋊Dic11C2312yes—
120C2×C4⋊Dic11C2312yes—
121C2×Dic11⋊C4C2318yes—
122C2×C4×Dic11—28no—
123C2×C4×Dic11C2314yes—
124C2×C4×Dic11C2312yes—
125C2×C4×Dic11C2318yes—
126C2×C4×Dic11C2312yes—
127#66946—216no—
128(C22⋊D11)⋊C4—416no—
129C22⋊C4×D11—216no—
130C4×D44—216no—
131C11×#95C2314yes—
132C11×#95C2314yes—
133C11⋊#95C2318yes—
134C11⋊#95C2318yes—
135#34204—111nomaximal, Sylow
136C24×C11—22no—
137C24×C11—22no—
138C24×C11—24no—
139C24×C11—42no—
140C24×C11C22×C414yes—
141C24×C11C2411yescharacteristic
142C24×C11C2411yescharacteristic
143C24×C11C2411yescharacteristic
144C23×D11—24no—
145C23×D11—24no—
146C23×D11—44no—
147C23×D11—44no—
148C23×D11C22×C418yes—
149C23×D11C2414yes—
150C22×C4×C11—22no—
151C22×C4×C11—22no—
152C22×C4×C11—232no—
153C22×C4×C11—22no—
154C22×C4×C11—22no—
155C22×C4×C11—22no—
156C22×C4×C11—22no—
157C22×C4×C11—22no—
158C22×C4×C11—22no—
159C22×C4×C11—22no—
160C22×C4×C11—22no—
161C22×C4×C11C22×C414yes—
162C22×C4×C11C22×C414yes—
163C22×C4×C11C22×C414yes—
164C22×C4×C11C22×C414yes—
165C22×C4×C11C22×C414yes—
166C22×C4×C11C22×C414yes—
167C22×C4×C11C2×D414yes—
168C22×C4×C11#4114yes—
169C22×C4×C11C2414yes—
170C22×C4×C11C2414yes—
171C22×C4×C11C2411yescharacteristic
172C22×C4×C11C2411yescharacteristic
173C22×C4×C11C2411yescharacteristic
174C22×C4×C11C2411yescharacteristic
175C2×C22⋊D11—216no—
176C2×C22⋊D11—48no—
177C2×C22⋊D11—432no—
178C2×C22⋊D11C22×C4116yes—
179C2×C22⋊D11C22×C4116yes—
180C22×Dic11—28no—
181C22×Dic11—28no—
182C22×Dic11—44no—
183C22×Dic11—44no—
184C22×Dic11C22×C418yes—
185C22×Dic11C2414yes—
186C22×Dic11C2414yes—
187C22×Dic11C2414yes—
188C2×D44—232no—
189C2×D44—24no—
190C2×D44—24no—
191C2×D44—24no—
192C2×D44—24no—
193C2×D44C22×C418yes—
194C2×D44C22×C418yes—
195C2×C4×D11—216no—
196C2×C4×D11—48no—
197C2×C4×D11—48no—
198C11×C4⋊C4—24no—
199C11×C4⋊C4—24no—
200C11×C22⋊C4—24no—
201C11×C22⋊C4—24no—
202C11×C22⋊C4—28no—
203C11×C22⋊C4—44no—
204C42×C11—24no—
205C42×C11—24no—
206C22⋊Dic11—28no—
207C22⋊Dic11—24no—
208C22⋊Dic11C2×D418yes—
209(C2×D11)⋊C4—216no—
210(C2×D11)⋊C4—48no—
211(C2×D11)⋊C4—48no—
212(C2×D11)⋊C4C22×C4116yes—
213(C2×D11)⋊C4C22×C4116yes—
214C4⋊Dic11—28no—
215C4⋊Dic11—24no—
216C4⋊Dic11C22×C418yes—
217C4⋊Dic11C22×C418yes—
218C4⋊Dic11C2×D418yescomplemented
219Dic11⋊C4—48no—
220C4×Dic11—28no—
221C4×Dic11—24no—
222C4×Dic11—48no—
223C4×Dic11C2×D418yescomplemented
224C22×#121—111no—
225C2×#518—111no—
226C22×#117—111no—
227#2363—114no—
228#2361—114no—
229#2342—114no—
230D4×C22⋊C4—114no—
231#2324—114no—
232#2316—111no—
233#2309—111no—
234C4×#121—114no—
235#2280D1111yescharacteristic, complemented
236#2274—111no—
237C23×C11—21no—
238C23×C11—21no—
239C23×C11—22no—
240C23×C11—22no—
241C23×C11—22no—
242C23×C11—28no—
243C23×C11—28no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—22no—
247C23×C11—22no—
248C23×C11—44no—
249C23×C11—48no—
250C23×C11—48no—
251C23×C11C23×C412yes—
252C23×C11C23×C412yes—
253C23×C11C23×C412yes—
254C23×C11C22×D412yes—
255C23×C11C2×#4112yes—
256C23×C11H(5,𝔽2)14yes—
257C23×C11C2511yescharacteristic
258C22×D11—24no—
259C22×D11—24no—
260C22×D11—28no—
261C22×D11—28no—
262C22×D11—216no—
263C22×D11—48no—
264C22×D11—48no—
265C22×D11—88no—
266C22×D11—88no—
267C22×D11C23×C418yes—
268C2×C4×C11—28no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—28no—
274C2×C4×C11—28no—
275C2×C4×C11—28no—
276C2×C4×C11—28no—
277C2×C4×C11—24no—
278C2×C4×C11—24no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11C4×D4116yescomplemented
284C2×C4×C11C23×C412yes—
285C2×C4×C11C23×C412yes—
286C2×C4×C11C23×C412yes—
287C2×C4×C11C23×C412yes—
288C2×C4×C11C22×D412yes—
289C2×C4×C11C22×D412yes—
290C2×C4×C11C2×#4112yes—
291C2×C4×C11C2×#4112yes—
292C22⋊D11—232no—
293C22⋊D11—416no—
294C2×Dic11—24no—
295C2×Dic11—28no—
296C2×Dic11—24no—
297C2×Dic11—24no—
298C2×Dic11—24no—
299C2×Dic11—24no—
300C2×Dic11—48no—
301C2×Dic11—416no—
302C2×Dic11C23×C418yes—
303C2×Dic11C22×D418yes—
304D44—216no—
305D44—216no—
306C4×D11—816no—
307C23×D4—112no—
308C23×D4—111no—
309C24×C4C2×D1111yescharacteristic
310C2×#121—112no—
311C2×#121—112no—
312C2×#121—112no—
313C2×#121—112no—
314C2×#121—1116no—
315#518—228no—
316C2×C4×D4—114no—
317C2×C4×D4—118no—
318C2×C4×D4—114no—
319C2×#117—111no—
320C2×#117—111no—
321C2×#117—112no—
322C2×#117—112no—
323C2×#117—112no—
324C2×#117—228no—
325C2×#117C2×D1111yescharacteristic
326C2×#117C2×D1111yescharacteristic
327C22×C4⋊C4—111no—
328C22×C4⋊C4—112no—
329C22×C22⋊C4—112no—
330C22×C22⋊C4—112no—
331C22×C22⋊C4—114no—
332C22×C42—112no—
333#390—114no—
334#390—118no—
335#390—114no—
336#389—114no—
337#389—114no—
338#388—118no—
339#388—118no—
340#386—118no—
341#386—118no—
342#385—118no—
343#381C2×D1112yes—
344#380—114no—
345#380C2×D1112yescomplemented
346#380C2×D1112yescomplemented
347#379—114no—
348#379C2×D1112yes—
349C4×C4⋊C4—114no—
350C4×C4⋊C4—114no—
351C4×C22⋊C4—114no—
352C4×C22⋊C4—118no—
353C4×C22⋊C4C2×D1112yescomplemented
354C4×C22⋊C4C2×D1112yescomplemented
355C22×C11—22no—
356C22×C11—22no—
357C22×C11—22no—
358C22×C11—22no—
359C22×C11—24no—
360C22×C11—24no—
361C22×C11—24no—
362C22×C11—24no—
363C22×C11—22no—
364C22×C11—22no—
365C22×C11—22no—
366C22×C11—416no—
367C22×C11—42no—
368C22×C11—42no—
369C22×C11C2×C4×D414yes—
370C22×C11#51814yescomplemented
371C22×C11C24×C411yescharacteristic
372C22×C11C23×D411yescharacteristic
373C22×C11C22×#4111yescharacteristic
374C22×C11C2×H(5,𝔽2)12yes—
375C22×C11#58512yes—
376C2×D11—28no—
377C2×D11—28no—
378C2×D11—28no—
379C2×D11—48no—
380C2×D11—48no—
381C2×D11—816no—
382C4×C11—22no—
383C4×C11—22no—
384C4×C11—44no—
385C4×C11—44no—
386C4×C11C2×C4×D414yes—
387C4×C11C2×C4×D414yes—
388Dic11—28no—
389Dic11—28no—
390Dic11—44no—
391C25—112no—
392C25C22×D1111yescharacteristic
393C22×D4—114no—
394C22×D4—1116no—
395C22×D4—114no—
396C22×D4—118no—
397C22×D4—112no—
398C22×D4—112no—
399C22×D4—224no—
400C22×D4—224no—
401C22×D4—448no—
402C23×C4—24no—
403C23×C4—24no—
404C23×C4—112no—
405C23×C4—114no—
406C23×C4—118no—
407C23×C4C4×D1118yescomplemented
408C23×C4C22×D1111yescharacteristic
409C23×C4C22×D1111yescharacteristic
410C23×C4C22×D1111yescharacteristic
411C23×C4C22×D1111yescharacteristic
412C23×C4C22×D1111yescharacteristic
413C23×C4C22×D1111yescharacteristic
414#121—1116no—
415#121—1116no—
416#121—1116no—
417#121—1116no—
418C4×D4—2216no—
419C4×D4—2216no—
420C4×D4—4416no—
421#117—24no—
422#117—24no—
423#117—118no—
424#117—228no—
425#117—228no—
426#117—228no—
427#117—224no—
428C2×C4⋊C4—118no—
429C2×C4⋊C4—112no—
430C2×C4⋊C4—112no—
431C2×C4⋊C4—112no—
432C2×C4⋊C4—114no—
433C2×C4⋊C4—112no—
434C2×C4⋊C4—118no—
435C2×C4⋊C4—228no—
436C2×C4⋊C4C22×D1112yes—
437C2×C4⋊C4C22×D1112yes—
438C2×C22⋊C4—112no—
439C2×C22⋊C4—1116no—
440C2×C22⋊C4—114no—
441C2×C22⋊C4—114no—
442C2×C22⋊C4—112no—
443C2×C22⋊C4—114no—
444C2×C22⋊C4—118no—
445C2×C22⋊C4—118no—
446C2×C22⋊C4—118no—
447C2×C22⋊C4—2216no—
448C2×C22⋊C4—228no—
449C2×C22⋊C4C22×D1112yes—
450C2×C22⋊C4C22×D1112yes—
451C2×C22⋊C4C22×D1114yes—
452C2×C22⋊C4C22×D1114yes—
453C2×C42—112no—
454C2×C42—114no—
455C2×C42—112no—
456C2×C42—118no—
457C2×C42—228no—
458C2×C42C22×D1112yes—
459C2×C42C22×D1112yes—
460#95—118no—
461#95—118no—
462#95C22×D1114yes—
463#95C22×D1114yes—
464C2×C11—24no—
465C2×C11—24no—
466C2×C11—42no—
467C2×C11C22×C4×D411yescharacteristic
468C2×C11C2×#51811yescharacteristic
469C2×C11#342811yescharacteristic
470C2×C11#348812yes—
471C2×C11#349412yes—
472D11—48no—
473C24—22no—
474C24—22no—
475C24—24no—
476C24—42no—
477C24—114no—
478C24—118no—
479C24—224no—
480C24—224no—
481C24—444no—
482C24—444no—
483C24C2×C4×D1114yes—
484C24C23×D1111yescharacteristic
485C24C23×D1111yescharacteristic
486C24C23×D1111yescharacteristic
487C2×D4—1116no—
488C2×D4—1116no—
489C2×D4—118no—
490C2×D4—118no—
491C2×D4—2216no—
492C2×D4—2232no—
493C2×D4—224no—
494C2×D4—224no—
495C2×D4—224no—
496C2×D4—224no—
497C2×D4—448no—
498C2×D4—4432no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—232no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—114no—
511C22×C4—114no—
512C22×C4—118no—
513C22×C4—114no—
514C22×C4—2216no—
515C22×C4—228no—
516C22×C4—228no—
517C22×C4—448no—
518C22×C4—448no—
519C22×C4—444no—
520C22×C4—444no—
521C22×C4C2×C4×D1114yes—
522C22×C4C2×C4×D1114yes—
523C22×C4C2×C4×D1114yes—
524C22×C4C2×C4×D1114yes—
525C22×C4C2×C4×D1114yes—
526C22×C4C2×C4×D1114yes—
527C22×C4D4×D1114yes—
528C22×C4#434114yes—
529C22×C4C23×D1114yes—
530C22×C4C23×D1114yes—
531C22×C4C23×D1111yescharacteristic
532C22×C4C23×D1111yescharacteristic
533C22×C4C23×D1111yescharacteristic
534C22×C4C23×D1111yescharacteristic
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—118no—
538C4⋊C4—118no—
539C4⋊C4—118no—
540C4⋊C4—228no—
541C4⋊C4—224no—
542C4⋊C4—448no—
543C22⋊C4—24no—
544C22⋊C4—24no—
545C22⋊C4—28no—
546C22⋊C4—44no—
547C22⋊C4—118no—
548C22⋊C4—1116no—
549C22⋊C4—1116no—
550C22⋊C4—2216no—
551C22⋊C4—228no—
552C22⋊C4—224no—
553C22⋊C4—448no—
554C22⋊C4—448no—
555C42—24no—
556C42—24no—
557C42—118no—
558C42—228no—
559C42—224no—
560C42—448no—
561C11#3420411yescharacteristic, complemented, Sylow
562C23—21no—
563C23—21no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—28no—
568C23—28no—
569C23—21no—
570C23—21no—
571C23—22no—
572C23—22no—
573C23—44no—
574C23—48no—
575C23—48no—
576C23—118no—
577C23—224no—
578C23—224no—
579C23—228no—
580C23—228no—
581C23—2216no—
582C23—448no—
583C23—448no—
584C23—888no—
585C23—888no—
586C23C22×C4×D1112yes—
587C23C22×C4×D1112yes—
588C23C22×C4×D1112yes—
589C23C2×D4×D1112yes—
590C23C2×#434112yes—
591C23#6704214yes—
592C23C24×D1111yescharacteristic
593D4—2232no—
594D4—2216no—
595D4—2216no—
596D4—4416no—
597C2×C4—28no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—28no—
603C2×C4—28no—
604C2×C4—28no—
605C2×C4—28no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—118no—
613C2×C4—118no—
614C2×C4—224no—
615C2×C4—228no—
616C2×C4—224no—
617C2×C4—224no—
618C2×C4—224no—
619C2×C4—224no—
620C2×C4—448no—
621C2×C4—4416no—
622C2×C4—8816no—
623C2×C4(C22⋊D11)⋊C4116yescomplemented
624C2×C4C22×C4×D1112yes—
625C2×C4C22×C4×D1112yes—
626C2×C4C22×C4×D1112yes—
627C2×C4C22×C4×D1112yes—
628C2×C4C2×D4×D1112yes—
629C2×C4C2×D4×D1112yes—
630C2×C4C2×#434112yes—
631C2×C4C2×#434112yes—
632C22—24no—
633C22—24no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22—24no—
639C22—24no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—416no—
644C22—42no—
645C22—42no—
646C22—228no—
647C22—228no—
648C22—228no—
649C22—448no—
650C22—448no—
651C22—8816no—
652C22C2×(C22⋊D11)⋊C414yes—
653C22#1062305214yescomplemented
654C22C23×C4×D1111yescharacteristic
655C22C22×D4×D1111yescharacteristic
656C22C22×#434111yescharacteristic
657C22C2×#6704212yes—
658C22#1062345312yes—
659C4—22no—
660C4—22no—
661C4—44no—
662C4—44no—
663C4—228no—
664C4—228no—
665C4—444no—
666C4C2×(C22⋊D11)⋊C414yes—
667C4C2×(C22⋊D11)⋊C414yes—
668C2—24no—
669C2—24no—
670C2—42no—
671C2—448no—
672C2C22×(C22⋊D11)⋊C411yescharacteristic
673C2C2×#1062305211yescharacteristic
674C2#1308181711yescharacteristic
675C2#1308227712yes—
676C2#1308235312yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2280C2
socle, cosocleC23×C11C25
prime radicalC22×#66983C2
hypercenter#2280D11
hypocenterC11#34204
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2280

Complements

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

NH ≅ G/Ntype
2. C2×#10623052C2semidirect
3. C22×#66979C2semidirect
4. #13071652C2semidirect
5. #13071630C2semidirect
6. #13071458C2semidirect
7. #13071432C2semidirect
8. #13071305C2semidirect
9. #13071232C2semidirect
10. #13071196C2semidirect
11. #13071122C2semidirect
12. #13070972C2semidirect
13. C11×#2280C2semidirect
20. C2×#66983C4semidirect
30. C2×#66979C22semidirect
31. C2×#66979C22semidirect
33. C22×C4⋊Dic11C22semidirect
34. C22×C4×Dic11C22semidirect
36. C2×#66946C22semidirect
37. C2×(C22⋊D11)⋊C4C22semidirect
39. C2×C4×D44C22semidirect
41. C11×#380C22semidirect
42. C11×#380C22semidirect
44. C4×C11×C22⋊C4C22semidirect
45. C4×C11×C22⋊C4C22semidirect
46. #10622601C22semidirect
47. C4⋊C4×Dic11C22semidirect
48. #10622586C22semidirect
49. #10622571C22semidirect
50. #10622570C22semidirect
51. #10622569C22semidirect
55. #10622552C22semidirect
56. C4×C4⋊Dic11C22semidirect
57. #10622541C22semidirect
58. #10622283C22semidirect
59. #10622282C22semidirect
60. #10622281C22semidirect
61. #10622279C22semidirect
66. C23×C4×C11C2×C4semidirect
74. C22×C22⋊D11C2×C4semidirect
81. C22×D44C2×C4semidirect
99. #66983C2×C4semidirect
100. #66983C2×C4semidirect
101. #66983C2×C4semidirect
102. #66983C2×C4semidirect
103. C2×(C2×D11)⋊C4C2×C4semidirect
113. #66979D4semidirect
115. C2×C4⋊Dic11C2×C4semidirect
218. C4⋊Dic11C2×D4semidirect
223. C4×Dic11C2×D4semidirect
235. #2280D11semidirect
283. C2×C4×C11C4×D4semidirect
345. #380C2×D11semidirect
346. #380C2×D11semidirect
353. C4×C22⋊C4C2×D11semidirect
354. C4×C22⋊C4C2×D11semidirect
370. C22×C11#518semidirect
407. C23×C4C4×D11semidirect
561. C11#34204semidirect
623. C2×C4(C22⋊D11)⋊C4semidirect
653. C22#10623052semidirect

Maximal subgroups

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

subgroupindex
C22×#669832
C2×#106230522
C22×#669792
#130716522
#130716302
#130714582
#130714322
#130713052
#130712322
#130711962
#130711222
#130709722
C11×#22802
#3420411