Finite Group Databasebeta

← #14914448

Subgroups — #14914448

Order 2816.

2330 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623010C211yesmaximal, characteristic
2#13071712C212yesmaximal, complemented
3#13071687C212yesmaximal, complemented
4#13071632C212yesmaximal
5#13071621C212yesmaximal, complemented
6#13071552C212yesmaximal, complemented
7#13071523C212yesmaximal, complemented
8#13071510C212yesmaximal, complemented
9#13071479C212yesmaximal, complemented
10#13071391C214yesmaximal, complemented
11#13071262C211yesmaximal, characteristic, complemented
12#13071254C211yesmaximal, characteristic, complemented
13C4×#66982C214yesmaximal, complemented
14#13071014C211yesmaximal, characteristic, complemented
15#13070980C211yesmaximal, characteristic, complemented
16#13070976C211yesmaximal, characteristic, complemented
17C2×C4×C11×C4⋊C4C211yesmaximal, characteristic, complemented
18C22×C11×C4⋊C4C2212yes—
19C22×C42×C11C2212yes—
20C22×C42×C11C2211yescharacteristic
21C2×#66983C2211yescharacteristic
22C2×#66982C2212yes—
23C2×C4×C22⋊D11C2214yes—
24C2×C4×C22⋊D11C2212yes—
25C2×#66977C2211yescharacteristic
26C2×#66946C2212yes—
27C2×#66940C2212yes—
28#10623010C4116yescomplemented
29C2×#66929C2212yes—
30C2×#66928C2211yescharacteristic
31C2×C4×D44C2211yescharacteristic
32C2×#66925C2212yes—
33C2×#66923C2211yescharacteristic
34C2×C4×Dic22C2211yescharacteristic
35C4×C11×C4⋊C4C2212yes—
36C4×C11×C4⋊C4C2212yes—
37C4×C11×C4⋊C4C2212yes—
38C4×C11×C4⋊C4C2211yescharacteristic
39C4×C11×C4⋊C4C2211yescharacteristic
40C2×C11×#95C2212yes—
41#10622826C2214yes—
42#10622825C2211yescharacteristic
43#10622825C2211yescharacteristic
44#10622824C2212yes—
45#10622823C2214yes—
46C4×C22⋊Dic11C2212yes—
47C4×C22⋊Dic11C2214yes—
48#10622603C2214yes—
49#10622602C2214yes—
50#10622601C2212yes—
51#10622591C2214yes—
52C4⋊C4×Dic11C2212yes—
53C4⋊C4×Dic11C2212yes—
54#10622587C2212yes—
55#10622586C2212yes—
56#10622586C2212yes—
57#10622585C2214yes—
58#10622553C2214yes—
59#10622553C2214yes—
60C4×(C2×D11)⋊C4C2214yes—
61C4×(C2×D11)⋊C4C2214yes—
62#10622550C2211yescharacteristic
63#10622550C2211yescharacteristic
64#10622549C2212yes—
65C4×C4⋊Dic11C2212yes—
66#10622546C2214yes—
67#10622546C2214yes—
68#10622545C2211yescharacteristic
69#10622545C2211yescharacteristic
70C4×Dic11⋊C4C2214yes—
71C4×Dic11⋊C4C2214yes—
72#10622283C2214yes—
73#10622281C2214yes—
74#10622280C2212yes—
75#10622279C2212yes—
76#10622277C2212yes—
77D11×#95C2212yes—
78#10622268C2214yes—
79#10622264C2212yes—
80#10622263C2212yes—
81#10622262C2212yes—
82#10622261C2212yes—
83#10622260C2214yes—
84C23×C4×C11C2314yes—
85C23×C4×C11C2311yescharacteristic
86C23×C4×C11C2311yescharacteristic
87C23×C4×C11C2311yescharacteristic
88C22×C22⋊D11C2312yes—
89C22×D44C2311yescharacteristic
90C22×C4×D11C2314yes—
91C22×C4×D11C2312yes—
92C22×Dic22C2311yescharacteristic
93C2×C11×C4⋊C4—28no—
94C2×C11×C4⋊C4C2314yes—
95C2×C11×C4⋊C4C2312yes—
96C2×C11×C4⋊C4C2312yes—
97C2×C42×C11—44no—
98C2×C42×C11C2×C418yescomplemented
99C2×C42×C11C2312yes—
100C2×C42×C11C2314yes—
101C2×C42×C11C2312yes—
102C2×C42×C11C2311yescharacteristic
103C2×C42×C11C2311yescharacteristic
104C2×C42×C11C2311yescharacteristic
105C2×C42×C11C2311yescharacteristic
106C2×C22⋊Dic11C2312yes—
107C2×C22⋊Dic11C2312yes—
108C2×C22⋊Dic11C2312yes—
109#66983C2×C418yes—
110#66982C2×C4116yescomplemented
111C4×C22⋊D11—48no—
112C4×C22⋊D11C2×C4116yescomplemented
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⋊Dic11C2312yes—
121C2×C4⋊Dic11C2312yes—
122C2×C4⋊Dic11C2311yescharacteristic
123C2×C4⋊Dic11C2311yescharacteristic
124#66977C2×C418yescomplemented
125C2×Dic11⋊C4C2314yes—
126C2×Dic11⋊C4C2314yes—
127C2×Dic11⋊C4C2314yes—
128C2×Dic11⋊C4C2312yes—
129C2×Dic11⋊C4C2312yes—
130C2×Dic11⋊C4C2312yes—
131C2×Dic11⋊C4C2312yes—
132C2×C4×Dic11C2314yes—
133C2×C4×Dic11C2312yes—
134C2×C4×Dic11C2312yes—
135C2×C4×Dic11C2314yes—
136C2×C4×Dic11C2314yes—
137C2×C4×Dic11C2312yes—
138#66946—28no—
139#66940—28no—
140#66929C2×C4116yescomplemented
141#66928C2×C418yescomplemented
142C4×D44C2×C418yescomplemented
143#66925C2×C4116yescomplemented
144#66923C2×C418yescomplemented
145C4×Dic22C2×C418yescomplemented
146C11×#95C2314yes—
147C11×#95C2312yes—
148C11×#95C2312yes—
149C11⋊#95C2314yes—
150C11⋊#95C2311yescharacteristic
151C11⋊#95C2314yes—
152C11⋊#95C2311yescharacteristic
153C11⋊#95C2311yescharacteristic
154C11⋊#95C2314yes—
155C11⋊#95C2311yescharacteristic
156C11⋊#95C2314yes—
157C11⋊#95C2314yes—
158C11⋊#95C2314yes—
159C11⋊#95C2312yes—
160C11⋊#95C2312yes—
161C11⋊#95C2312yes—
162C11⋊#95C2312yes—
163C11⋊#95C2312yes—
164C11⋊#95C2312yes—
165#34230—111nomaximal, Sylow
166C24×C11C2411yescharacteristic
167C23×D11C2412yes—
168C22×C4×C11—22no—
169C22×C4×C11—22no—
170C22×C4×C11—24no—
171C22×C4×C11—28no—
172C22×C4×C11—28no—
173C22×C4×C11—44no—
174C22×C4×C11—42no—
175C22×C4×C11C22×C414yes—
176C22×C4×C11C22×C414yes—
177C22×C4×C11C22×C414yes—
178C22×C4×C11C2414yes—
179C22×C4×C11C2411yescharacteristic
180C22×C4×C11C2411yescharacteristic
181C22×C4×C11C2411yescharacteristic
182C22×C4×C11C2411yescharacteristic
183C22×C4×C11C2411yescharacteristic
184C22×C4×C11C2414yes—
185C22×C4×C11C2411yescharacteristic
186C2×C22⋊D11—24no—
187C2×C22⋊D11—24no—
188C2×C22⋊D11C22×C418yes—
189C22×Dic11C2412yes—
190C22×Dic11C2412yes—
191C22×Dic11C2412yes—
192C22×Dic11C2412yes—
193C22×Dic11C2412yes—
194C22×Dic11C2412yes—
195C22×Dic11C2412yes—
196C2×D44—24no—
197C2×D44C22×C414yes—
198C2×C4×D11—28no—
199C2×C4×D11—44no—
200C2×C4×D11—44no—
201C2×C4×D11—44no—
202C2×C4×D11C22×C418yes—
203C2×Dic22—24no—
204C2×Dic22C22×C414yes—
205C11×C4⋊C4—28no—
206C11×C4⋊C4—24no—
207C11×C4⋊C4#4118yes—
208C42×C11—42no—
209C42×C11—44no—
210C42×C11—42no—
211C42×C11C22×C414yes—
212C42×C11C22×C414yes—
213C42×C11C22×C414yes—
214C42×C11C22×C414yes—
215C22⋊Dic11—24no—
216C22⋊Dic11—24no—
217C22⋊Dic11C22×C418yes—
218(C2×D11)⋊C4—28no—
219(C2×D11)⋊C4—44no—
220(C2×D11)⋊C4—44no—
221(C2×D11)⋊C4C22×C418yes—
222(C2×D11)⋊C4C22×C418yes—
223(C2×D11)⋊C4C22×C418yes—
224(C2×D11)⋊C4C22×C418yes—
225C4⋊Dic11—42no—
226C4⋊Dic11—42no—
227C4⋊Dic11C22×C414yes—
228C4⋊Dic11C22×C414yes—
229Dic11⋊C4—28no—
230Dic11⋊C4—44no—
231Dic11⋊C4—44no—
232Dic11⋊C4C22×C418yes—
233Dic11⋊C4C22×C418yes—
234Dic11⋊C4C22×C418yes—
235Dic11⋊C4C22×C418yes—
236C4×Dic11—28no—
237C4×Dic11—24no—
238C4×Dic11—24no—
239C4×Dic11—44no—
240C4×Dic11—44no—
241C4×Dic11C22×C418yes—
242C2×#529—111no—
243#2370—112no—
244#2367—112no—
245#2361—112no—
246#2360—112no—
247#2353—112no—
248#2349—112no—
249#2347—112no—
250#2343—112no—
251#2334—114no—
252#2320—111no—
253#2319—111no—
254C4×#123—114no—
255#2283—111no—
256#2276—111no—
257#2275—111no—
258C2×C4×C4⋊C4D1111yescharacteristic, complemented
259C23×C11—22no—
260C23×C11—22no—
261C23×C11C23×C412yes—
262C23×C11H(5,𝔽2)12yes—
263C23×C112−1+412yes—
264C23×C11C2511yescharacteristic
265C22×D11—24no—
266C22×D11—22no—
267C22×D11—22no—
268C22×D11—24no—
269C22×D11C23×C414yes—
270C2×C4×C11—28no—
271C2×C4×C11—22no—
272C2×C4×C11—24no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—24no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—28no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—24no—
284C2×C4×C11—44no—
285C2×C4×C11—416no—
286C2×C4×C11C23×C412yes—
287C2×C4×C11C23×C412yes—
288C2×C4×C11C23×C412yes—
289C2×C4×C11C23×C412yes—
290C2×C4×C11C23×C412yes—
291C2×C4×C11C23×C412yes—
292C2×C4×C11C2×#4118yes—
293C2×C4×C11C2×#4114yes—
294C22⋊D11—216no—
295C2×Dic11—24no—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—24no—
299C2×Dic11—22no—
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11C23×C414yes—
312C2×Dic11C23×C414yes—
313C2×Dic11C23×C414yes—
314D44—28no—
315C4×D11—48no—
316C4×D11—88no—
317Dic22—28no—
318#529—1116no—
319C2×#126—112no—
320C2×#125—111no—
321C2×#124—111no—
322C2×#123—112no—
323C2×C22⋊Q8—111no—
324C2×#121—111no—
325C2×C4×Q8—112no—
326C2×C4×Q8—111no—
327C2×C4×D4—112no—
328C2×C4×D4—114no—
329C2×C4×D4—112no—
330C2×C4×D4—111no—
331C2×#117—112no—
332C22×C4⋊C4C2×D1112yes—
333C22×C42C2×D1112yes—
334C22×C42C2×D1111yescharacteristic
335#391—112no—
336#390—112no—
337#389—112no—
338#389—112no—
339#389—114no—
340#389—114no—
341#388—114no—
342#388—114no—
343#388—114no—
344#388—114no—
345#387—114no—
346#387—114no—
347#387—114no—
348#387—114no—
349#386—114no—
350#385—114no—
351#385—114no—
352#385—114no—
353#383—111no—
354#383—111no—
355#383—112no—
356#382—112no—
357#382—112no—
358#381—112no—
359#381—112no—
360#380—111no—
361#380—111no—
362#380—112no—
363C4×C4⋊C4—112no—
364C4×C4⋊C4—112no—
365C4×C4⋊C4—114no—
366C4×C4⋊C4—114no—
367C4×C4⋊C4—112no—
368C4×C4⋊C4—112no—
369C4×C4⋊C4C2×D1111yescharacteristic
370C4×C4⋊C4C2×D1112yes—
371C4×C4⋊C4C2×D1112yes—
372C4×C4⋊C4C2×D1112yes—
373C4×C4⋊C4C2×D1111yescharacteristic
374C4×C22⋊C4—114no—
375C4×C22⋊C4—112no—
376C4×C22⋊C4—114no—
377C4×C22⋊C4—114no—
378C4×C22⋊C4—112no—
379#376—111no—
380#376—111no—
381#376—112no—
382C2×#95—112no—
383C2×#95C2×D1112yes—
384C22×C11—22no—
385C22×C11—22no—
386C22×C11—24no—
387C22×C11—24no—
388C22×C11#52014yes—
389C22×C11C24×C411yescharacteristic
390C22×C11C22×#4112yes—
391C22×C11C2×H(5,𝔽2)11yescharacteristic
392C22×C11C2×2−1+411yescharacteristic
393C22×C11#58512yes—
394C2×D11—24no—
395C2×D11—24no—
396C2×D11—24no—
397C2×D11—44no—
398C2×D11—44no—
399C4×C11—22no—
400C4×C11—22no—
401C4×C11—22no—
402C4×C11—22no—
403C4×C11—22no—
404C4×C11—28no—
405C4×C11—44no—
406C4×C11C4×#4114yes—
407Dic11—24no—
408Dic11—24no—
409Dic11—24no—
410Dic11—42no—
411Dic11—42no—
412Dic11—42no—
413Dic11—42no—
414C22×Q8—111no—
415C22×D4—112no—
416C22×D4—111no—
417C23×C4—112no—
418C23×C4—114no—
419C23×C4C22×D1114yes—
420C23×C4C22×D1111yescharacteristic
421C23×C4C22×D1111yescharacteristic
422C23×C4C22×D1111yescharacteristic
423#126—1116no—
424#125—118no—
425#124—118no—
426#123—1116no—
427C22⋊Q8—118no—
428#121—118no—
429C4×Q8—118no—
430C4×Q8—228no—
431C4×D4—1116no—
432C4×D4—118no—
433C4×D4—228no—
434C4×D4—448no—
435#117—1116no—
436C2×C4⋊C4—28no—
437C2×C4⋊C4—112no—
438C2×C4⋊C4—112no—
439C2×C4⋊C4—111no—
440C2×C4⋊C4—112no—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—112no—
443C2×C4⋊C4—114no—
444C2×C4⋊C4—114no—
445C2×C4⋊C4—112no—
446C2×C4⋊C4—112no—
447C2×C4⋊C4—114no—
448C2×C4⋊C4C22×D1114yes—
449C2×C4⋊C4C22×D1112yes—
450C2×C4⋊C4C22×D1112yes—
451C2×C22⋊C4—112no—
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—114no—
459C2×C22⋊C4—114no—
460C2×C22⋊C4—114no—
461C2×C42—44no—
462C2×C42—112no—
463C2×C42—112no—
464C2×C42—114no—
465C2×C42—112no—
466C2×C42—114no—
467C2×C42—114no—
468C2×C42C4×D1118yescomplemented
469C2×C42C22×D1112yes—
470C2×C42C22×D1114yes—
471C2×C42C22×D1112yes—
472C2×C42C22×D1111yescharacteristic
473C2×C42C22×D1111yescharacteristic
474C2×C42C22×D1111yescharacteristic
475C2×C42C22×D1111yescharacteristic
476#95—111no—
477#95—114no—
478#95—111no—
479#95—111no—
480#95—112no—
481#95—111no—
482#95—112no—
483#95—114no—
484#95—112no—
485#95—114no—
486#95—112no—
487#95—112no—
488#95—114no—
489#95—114no—
490#95—112no—
491#95—114no—
492#95C22×D1112yes—
493#95C22×D1112yes—
494#95C22×D1114yes—
495C2×C11—24no—
496C2×C11C2×C4×#4111yescharacteristic
497C2×C11C2×#52011yescharacteristic
498C2×C11#342811yescharacteristic
499C2×C11#351312yes—
500C2×C11#351612yes—
501D11—44no—
502C24—112no—
503C24C23×D1111yescharacteristic
504C2×Q8—114no—
505C2×Q8—224no—
506C2×D4—118no—
507C2×D4—114no—
508C2×D4—224no—
509C2×D4—224no—
510C2×D4—224no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—24no—
514C22×C4—28no—
515C22×C4—28no—
516C22×C4—44no—
517C22×C4—42no—
518C22×C4—112no—
519C22×C4—112no—
520C22×C4—112no—
521C22×C4—118no—
522C22×C4—112no—
523C22×C4—112no—
524C22×C4—112no—
525C22×C4—112no—
526C22×C4—228no—
527C22×C4—444no—
528C22×C4—444no—
529C22×C4—444no—
530C22×C4C2×C4×D1114yes—
531C22×C4C2×C4×D1114yes—
532C22×C4C2×C4×D1114yes—
533C22×C4C23×D1114yes—
534C22×C4C23×D1111yescharacteristic
535C22×C4C23×D1111yescharacteristic
536C22×C4C23×D1111yescharacteristic
537C22×C4C23×D1111yescharacteristic
538C22×C4C23×D1111yescharacteristic
539C22×C4C23×D1114yes—
540C22×C4C23×D1111yescharacteristic
541C4⋊C4—28no—
542C4⋊C4—24no—
543C4⋊C4—118no—
544C4⋊C4—118no—
545C4⋊C4—114no—
546C4⋊C4—118no—
547C4⋊C4—114no—
548C4⋊C4—118no—
549C4⋊C4—228no—
550C4⋊C4—444no—
551C4⋊C4—444no—
552C4⋊C4—442no—
553C4⋊C4—442no—
554C4⋊C4#433918yes—
555C22⋊C4—118no—
556C22⋊C4—118no—
557C22⋊C4—118no—
558C22⋊C4—118no—
559C22⋊C4—118no—
560C22⋊C4—224no—
561C22⋊C4—224no—
562C22⋊C4—228no—
563C22⋊C4—444no—
564C22⋊C4—444no—
565C42—42no—
566C42—44no—
567C42—42no—
568C42—118no—
569C42—224no—
570C42—228no—
571C42—224no—
572C42—444no—
573C42—444no—
574C42C2×C4×D1114yes—
575C42C2×C4×D1114yes—
576C42C2×C4×D1114yes—
577C42C2×C4×D1114yes—
578C11#3423011yescharacteristic, complemented, Sylow
579C23—22no—
580C23—22no—
581C23—114no—
582C23—224no—
583C23—222no—
584C23—222no—
585C23—224no—
586C23C22×C4×D1112yes—
587C23#6703712yes—
588C23#6704012yes—
589C23C24×D1111yescharacteristic
590Q8—228no—
591D4—2216no—
592D4—228no—
593C2×C4—28no—
594C2×C4—22no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—24no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—28no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—44no—
608C2×C4—416no—
609C2×C4—114no—
610C2×C4—114no—
611C2×C4—114no—
612C2×C4—224no—
613C2×C4—222no—
614C2×C4—222no—
615C2×C4—224no—
616C2×C4—222no—
617C2×C4—222no—
618C2×C4—222no—
619C2×C4—222no—
620C2×C4—222no—
621C2×C4—222no—
622C2×C4—222no—
623C2×C4—222no—
624C2×C4—222no—
625C2×C4—222no—
626C2×C4—222no—
627C2×C4—222no—
628C2×C4—448no—
629C2×C4—888no—
630C2×C4C22×C4×D1112yes—
631C2×C4C22×C4×D1112yes—
632C2×C4C22×C4×D1112yes—
633C2×C4C22×C4×D1112yes—
634C2×C4C22×C4×D1112yes—
635C2×C4C22×C4×D1112yes—
636C2×C4C2×#433918yes—
637C2×C4C2×#433914yes—
638C22—24no—
639C22—22no—
640C22—22no—
641C22—24no—
642C22—224no—
643C22—224no—
644C22—224no—
645C22—444no—
646C22—444no—
647C22#1062303514yes—
648C22C23×C4×D1111yescharacteristic
649C22C22×#433912yes—
650C22C2×#6703711yescharacteristic
651C22C2×#6704011yescharacteristic
652C22#1062345312yes—
653C4—28no—
654C4—22no—
655C4—22no—
656C4—22no—
657C4—22no—
658C4—22no—
659C4—44no—
660C4—224no—
661C4—224no—
662C4—224no—
663C4—442no—
664C4—442no—
665C4—442no—
666C4—442no—
667C4C4×#433914yes—
668C2—24no—
669C2—444no—
670C2C2×C4×#433911yescharacteristic
671C2C2×#1062303511yescharacteristic
672C2#1308181711yescharacteristic
673C2#1308255612yes—
674C2#1308260912yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC2×C4×C11×C4⋊C4C2
socle, cosocleC23×C11C25
prime radicalC2×#66983C22
hypercenterC2×C4×C4⋊C4D11
hypocenterC11#34230
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. #13071712C2semidirect
3. #13071687C2semidirect
5. #13071621C2semidirect
6. #13071552C2semidirect
7. #13071523C2semidirect
8. #13071510C2semidirect
9. #13071479C2semidirect
10. #13071391C2semidirect
11. #13071262C2semidirect
12. #13071254C2semidirect
13. C4×#66982C2semidirect
14. #13071014C2semidirect
15. #13070980C2semidirect
16. #13070976C2semidirect
17. C2×C4×C11×C4⋊C4C2semidirect
28. #10623010C4semidirect
98. C2×C42×C11C2×C4semidirect
110. #66982C2×C4semidirect
112. C4×C22⋊D11C2×C4semidirect
124. #66977C2×C4semidirect
140. #66929C2×C4semidirect
141. #66928C2×C4semidirect
142. C4×D44C2×C4semidirect
143. #66925C2×C4semidirect
144. #66923C2×C4semidirect
145. C4×Dic22C2×C4semidirect
258. C2×C4×C4⋊C4D11semidirect
468. C2×C42C4×D11semidirect
578. C11#34230semidirect

Maximal subgroups

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

subgroupindex
C2×#106230102
#130717122
#130716872
#130716322
#130716212
#130715522
#130715232
#130715102
#130714792
#130713912
#130712622
#130712542
C4×#669822
#130710142
#130709802
#130709762
C2×C4×C11×C4⋊C42
#3423011