Finite Group Databasebeta

← #14915054

Subgroups — #14915054

Order 2816.

3410 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623056C211yesmaximal, characteristic
2C2×#10623054C211yesmaximal, characteristic, complemented
3C2×#10623052C211yesmaximal, characteristic, complemented
4#13071656C214yesmaximal, complemented
5#13071634C214yesmaximal, complemented
6#13071598C218yesmaximal, complemented
7#13071341C212yesmaximal, complemented
8#13071327C212yesmaximal, complemented
9#13071239C211yesmaximal, characteristic, complemented
10C4×#66927C212yesmaximal, complemented
11C4×#66928C212yesmaximal, complemented
12#13071106C211yesmaximal, characteristic, complemented
13C2×#10622552C211yesmaximal, characteristic, complemented
14C4×C11×#117C211yesmaximal, characteristic, complemented
15C22×#4339C2211yescharacteristic
16C23×D44C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C2×C11×#117C2211yescharacteristic
19C22×C42×C11C2211yescharacteristic
20C22×(C2×D11)⋊C4C2214yes—
21C2×#66979C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23#10623056C4116yescomplemented
24#10623054—28no—
25#10623052—28no—
26C2×#66948C2214yes—
27C2×#66946C2212yes—
28C2×#66946C2212yes—
29C2×#66945C2212yescomplemented
30C2×C4⋊C4×D11C2212yescomplemented
31C2×#66935C2214yes—
32C2×(C22⋊D11)⋊C4C2214yes—
33C2×C22⋊C4×D11C2214yes—
34C2×#66928C2212yes—
35C2×#66927C2212yes—
36C2×C4×D44C2212yes—
37C2×C4×D44C2212yes—
38C2×C4×D44C2212yescomplemented
39C2×C4×D44C2218yescomplemented
40C2×C4×Dic22C2212yescomplemented
41C4×C11×C4⋊C4C2212yescomplemented
42C4×C11×C4⋊C4C2212yescomplemented
43C4×C11×C22⋊C4C2214yes—
44C11×#376C2212yescomplemented
45C43×C11C2212yescomplemented
46#10622826C2214yes—
47#10622598C2214yescomplemented
48#10622563C2214yes—
49#10622553C2218yescomplemented
50#10622552C2214yes—
51#10622552C2212yes—
52#10622552C2212yes—
53#10622552C2211yescharacteristic, complemented
54#10622552C2211yescharacteristic, complemented
55#10622552C2218yescomplemented
56C4×(C2×D11)⋊C4C2214yescomplemented
57C4×(C2×D11)⋊C4C2218yescomplemented
58#10622549C2212yescomplemented
59#10622548C2212yescomplemented
60#10622542C2211yescharacteristic, complemented
61#10622542C2211yescharacteristic, complemented
62#10622283C2218yescomplemented
63#10622281C2218yescomplemented
64#10622278C2218yescomplemented
65#10622278C2218yescomplemented
66C24×D11C2312yes—
67C23×C4×C11C2312yes—
68C23×C4×C11C2311yescharacteristic
69C22×C22⋊D11C2312yes—
70C23×Dic11C2312yes—
71C2×#4339—24no—
72C2×#4339—24no—
73C2×#4339C2×C418yescomplemented
74C22×D44—24no—
75C22×D44—24no—
76C22×D44C2×C418yescomplemented
77C22×D44C2312yes—
78C22×D44C2311yescharacteristic
79C22×D44C2312yes—
80C22×D44C2318yes—
81C22×C4×D11C2312yes—
82C22×C4×D11C2314yes—
83C22×C4×D11C2314yes—
84C22×C4×D11C2314yes—
85C22×Dic22C2311yescharacteristic
86C11×#117C2×C418yescomplemented
87C11×#117D418yescomplemented
88C2×C11×C4⋊C4C2312yes—
89C2×C11×C4⋊C4C2311yescharacteristic
90C2×C11×C4⋊C4C2311yescharacteristic
91C2×C11×C22⋊C4C2312yes—
92C2×C11×C22⋊C4C2312yes—
93C2×C42×C11—24no—
94C2×C42×C11C2314yes—
95C2×C42×C11C2311yescharacteristic
96C2×C42×C11C2311yescharacteristic
97C2×C42×C11C2312yes—
98C2×C42×C11C2314yes—
99C2×C42×C11C2312yes—
100C2×C42×C11C2312yes—
101C2×C22⋊Dic11C2312yes—
102C2×(C2×D11)⋊C4—48no—
103C2×(C2×D11)⋊C4C2314yes—
104C2×(C2×D11)⋊C4C2314yes—
105C2×(C2×D11)⋊C4C2314yes—
106C2×(C2×D11)⋊C4C2314yes—
107C2×(C2×D11)⋊C4C2318yes—
108C2×(C2×D11)⋊C4C2314yes—
109C2×(C2×D11)⋊C4C2318yes—
110C2×(C2×D11)⋊C4C2318yes—
111#66979—24no—
112C2×C4⋊Dic11—24no—
113C2×C4⋊Dic11C2312yes—
114C2×C4⋊Dic11C2311yescharacteristic
115C2×C4⋊Dic11C2311yescharacteristic
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2318yes—
118C2×Dic11⋊C4C2314yes—
119C2×C4×Dic11C2314yes—
120C2×C4×Dic11C2312yes—
121#66948C2×C4132yescomplemented
122#66946—28no—
123#66946—28no—
124#66945—28no—
125C4⋊C4×D11—28no—
126#66935C2×C4132yescomplemented
127(C22⋊D11)⋊C4—216no—
128C22⋊C4×D11—216no—
129#66928C2×C4116yescomplemented
130#66927C2×C4116yescomplemented
131C4×D44—28no—
132C4×D44—28no—
133C4×D44—28no—
134C4×D44—416no—
135C4×Dic22—28no—
136C11×#95C2314yes—
137C11×#95C2314yes—
138C11⋊#95C2318yes—
139C11⋊#95C2314yes—
140C11⋊#95C2314yes—
141#34275—111nomaximal, Sylow
142C24×C11C2411yescharacteristic
143C23×D11—24no—
144C23×D11—24no—
145C23×D11—44no—
146C23×D11—44no—
147C23×D11C22×C418yes—
148C23×D11C2414yes—
149C23×D11C2412yes—
150C22×C4×C11—24no—
151C22×C4×C11—24no—
152C22×C4×C11—42no—
153C22×C4×C11C22×C414yes—
154C22×C4×C11C2×D414yes—
155C22×C4×C11#4114yes—
156C22×C4×C11C2412yes—
157C22×C4×C11C2414yes—
158C22×C4×C11C2412yes—
159C22×C4×C11C2412yes—
160C22×C4×C11C2412yes—
161C22×C4×C11C2411yescharacteristic
162C22×C4×C11C2411yescharacteristic
163C2×C22⋊D11—24no—
164C2×C22⋊D11—24no—
165C2×C22⋊D11C22×C418yes—
166C22×Dic11—24no—
167C22×Dic11—44no—
168C22×Dic11C2412yes—
169C22×Dic11C2414yes—
170C22×Dic11C2412yes—
171C22×Dic11C2412yes—
172#4339—232no—
173C2×D44—232no—
174C2×D44—24no—
175C2×D44—22no—
176C2×D44—24no—
177C2×D44—24no—
178C2×D44—24no—
179C2×D44—22no—
180C2×D44—48no—
181C2×D44—48no—
182C2×D44C22×C414yes—
183C2×D44C22×C418yes—
184C2×D44C22×C418yes—
185C2×D44C22×C4132yes—
186C2×C4×D11—24no—
187C2×C4×D11—28no—
188C2×C4×D11—28no—
189C2×C4×D11—28no—
190C2×C4×D11—24no—
191C2×C4×D11—48no—
192C2×C4×D11—48no—
193C2×C4×D11—48no—
194C2×C4×D11C22×C418yes—
195C2×Dic22—22no—
196C2×Dic22—22no—
197C2×Dic22C22×C414yes—
198C11×C4⋊C4C22×C418yes—
199C11×C4⋊C4C2×D414yes—
200C11×C4⋊C4C2×D414yes—
201C11×C22⋊C4C22×C418yes—
202C11×C22⋊C4C2×D418yes—
203C42×C11—22no—
204C42×C11—24no—
205C42×C11—22no—
206C42×C11—28no—
207C42×C11—44no—
208C42×C11C22×C418yes—
209C42×C11C2×D418yes—
210C22⋊Dic11—24no—
211(C2×D11)⋊C4—28no—
212(C2×D11)⋊C4—28no—
213(C2×D11)⋊C4—28no—
214(C2×D11)⋊C4—28no—
215(C2×D11)⋊C4—216no—
216(C2×D11)⋊C4—48no—
217(C2×D11)⋊C4—44no—
218(C2×D11)⋊C4C22×C4132yes—
219C4⋊Dic11—24no—
220C4⋊Dic11—22no—
221C4⋊Dic11—22no—
222C4⋊Dic11—24no—
223C4⋊Dic11—48no—
224Dic11⋊C4—28no—
225C4×Dic11—28no—
226C4×Dic11—24no—
227C2×#535—111no—
228C2×#520—111no—
229C2×#518—111no—
230#2363—114no—
231#2361—114no—
232#2358—118no—
233#2328—112no—
234#2326—112no—
235#2317—111no—
236C4×#127—112no—
237C4×#124—112no—
238#2297—111no—
239C2×#390—111no—
240C4×#117D1111yescharacteristic, complemented
241C23×C11—22no—
242C23×C11—22no—
243C23×C11C23×C412yes—
244C23×C11C22×D412yes—
245C23×C11C2×#4112yes—
246C23×C11C2511yescharacteristic
247C22×D11—22no—
248C22×D11—24no—
249C22×D11—22no—
250C22×D11—24no—
251C22×D11—28no—
252C22×D11—24no—
253C22×D11—24no—
254C22×D11—28no—
255C22×D11—216no—
256C22×D11—416no—
257C22×D11—88no—
258C22×D11—84no—
259C22×D11—84no—
260C22×D11C23×C418yes—
261C22×D11C23×C414yes—
262C2×C4×C11—22no—
263C2×C4×C11—24no—
264C2×C4×C11—24no—
265C2×C4×C11—22no—
266C2×C4×C11—24no—
267C2×C4×C11—24no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—48no—
272C2×C4×C11C4×D4116yescomplemented
273C2×C4×C11C23×C418yes—
274C2×C4×C11C23×C412yes—
275C2×C4×C11C23×C412yes—
276C2×C4×C11C22×D414yes—
277C2×C4×C11C22×D414yes—
278C2×C4×C11C22×D412yes—
279C2×C4×C11C22×D412yes—
280C2×C4×C11C2×#4112yes—
281C2×C4×C11C2×#4112yes—
282C2×C4×C11H(5,𝔽2)14yes—
283C22⋊D11—216no—
284C2×Dic11—22no—
285C2×Dic11—22no—
286C2×Dic11—24no—
287C2×Dic11—22no—
288C2×Dic11—22no—
289C2×Dic11—24no—
290C2×Dic11—28no—
291C2×Dic11—24no—
292C2×Dic11—84no—
293C2×Dic11C23×C414yes—
294D44—216no—
295D44—216no—
296D44—28no—
297D44—432no—
298C4×D11—216no—
299C4×D11—88no—
300C4×D11—88no—
301C4×D11—88no—
302Dic22—28no—
303C22×#41—111no—
304C23×D4—111no—
305#535—1116no—
306C2×#127—112no—
307C2×#124—112no—
308C2×#121—114no—
309C2×#120—114no—
310#520—228no—
311#518—228no—
312C2×C4×Q8—112no—
313C2×C4×D4—112no—
314C2×C4×D4—112no—
315C2×C4×D4—114no—
316C2×C4×D4—112no—
317C2×C4×D4—112no—
318C2×C4×D4—112no—
319C2×C4×D4—118no—
320C2×#117—111no—
321C2×#117—112no—
322C2×#117C2×D1111yescharacteristic
323C2×#117C2×D1111yescharacteristic
324C22×C4⋊C4—111no—
325C22×C4⋊C4—112no—
326C22×C22⋊C4—114no—
327C22×C22⋊C4—114no—
328C22×C42C2×D1111yescharacteristic
329#391—111no—
330#391—111no—
331#390—111no—
332#390—118no—
333#390—112no—
334#390—112no—
335#390—111no—
336#390—114no—
337#389—114no—
338#388—118no—
339#388—118no—
340#386—114no—
341#386—118no—
342#386—118no—
343#385—114no—
344#385—118no—
345#384—112no—
346#382—112no—
347C4×C4⋊C4C2×D1112yescomplemented
348C4×C4⋊C4C2×D1112yescomplemented
349C4×C22⋊C4—118no—
350C4×C22⋊C4—114no—
351C4×C22⋊C4C2×D1114yes—
352#376C2×D1112yescomplemented
353C43C2×D1112yescomplemented
354C22×C11—24no—
355C22×C11—24no—
356C22×C11—22no—
357C22×C11—22no—
358C22×C11C2×C4×D414yes—
359C22×C11C24×C411yescharacteristic
360C22×C11C23×D411yescharacteristic
361C22×C11C22×#4111yescharacteristic
362C22×C11C2×H(5,𝔽2)12yes—
363C22×C11#58512yes—
364C2×D11—28no—
365C2×D11—24no—
366C2×D11—216no—
367C2×D11—28no—
368C2×D11—44no—
369C2×D11—48no—
370C2×D11—44no—
371C2×D11—42no—
372C2×D11—42no—
373C2×D11—44no—
374C2×D11—816no—
375C4×C11—28no—
376C4×C11—24no—
377C4×C11—24no—
378C4×C11—24no—
379C4×C11—42no—
380C4×C11C2×C4×D414yes—
381C4×C11C2×C4×D414yes—
382Dic11—24no—
383Dic11—42no—
384Dic11—44no—
385Dic11—42no—
386C25—112no—
387C2×#41—118no—
388C2×#41—224no—
389C2×#41—224no—
390C22×Q8—111no—
391C22×D4—112no—
392C22×D4—118no—
393C22×D4—112no—
394C22×D4—112no—
395C22×D4—111no—
396C22×D4—118no—
397C22×D4—224no—
398C22×D4—224no—
399C23×C4—112no—
400C23×C4—112no—
401C23×C4—114no—
402C23×C4—114no—
403C23×C4—114no—
404C23×C4C22×D1112yes—
405C23×C4C22×D1111yescharacteristic
406#127—1116no—
407#124—1116no—
408#121—1132no—
409#120—1132no—
410C4×Q8—228no—
411C4×D4—228no—
412C4×D4—228no—
413C4×D4—2216no—
414C4×D4—228no—
415C4×D4—228no—
416C4×D4—228no—
417C4×D4—4416no—
418#117—224no—
419#117—228no—
420#117C4×D1118yescomplemented
421#117D4418yescomplemented
422C2×C4⋊C4—112no—
423C2×C4⋊C4—112no—
424C2×C4⋊C4—114no—
425C2×C4⋊C4—111no—
426C2×C4⋊C4—111no—
427C2×C4⋊C4—118no—
428C2×C4⋊C4—224no—
429C2×C4⋊C4—228no—
430C2×C4⋊C4C22×D1112yes—
431C2×C4⋊C4C22×D1111yescharacteristic
432C2×C4⋊C4C22×D1111yescharacteristic
433C2×C22⋊C4—118no—
434C2×C22⋊C4—112no—
435C2×C22⋊C4—114no—
436C2×C22⋊C4—114no—
437C2×C22⋊C4—118no—
438C2×C22⋊C4—114no—
439C2×C22⋊C4—114no—
440C2×C22⋊C4—118no—
441C2×C22⋊C4—114no—
442C2×C22⋊C4—2216no—
443C2×C22⋊C4—448no—
444C2×C22⋊C4C22×D1112yes—
445C2×C22⋊C4C22×D1112yes—
446C2×C42—24no—
447C2×C42—112no—
448C2×C42—114no—
449C2×C42C22×D1114yes—
450C2×C42C22×D1111yescharacteristic
451C2×C42C22×D1111yescharacteristic
452C2×C42C22×D1112yes—
453C2×C42C22×D1114yes—
454C2×C42C22×D1112yes—
455C2×C42C22×D1112yes—
456#95—114no—
457#95—118no—
458#95—114no—
459#95C22×D1114yes—
460#95C22×D1114yes—
461C2×C11—24no—
462C2×C11C22×C4×D411yescharacteristic
463C2×C11C4×H(5,𝔽2)12yes—
464C2×C11#349412yes—
465C2×C11#349811yescharacteristic
466C2×C11#350011yescharacteristic
467D11—44no—
468D11—48no—
469C24—114no—
470C24—112no—
471C24—118no—
472C24—224no—
473C24—224no—
474C24—444no—
475C24—444no—
476C24C23×D1111yescharacteristic
477#41—2232no—
478C2×Q8—114no—
479C2×Q8—222no—
480C2×Q8—222no—
481C2×D4—118no—
482C2×D4—118no—
483C2×D4—118no—
484C2×D4—114no—
485C2×D4—1132no—
486C2×D4—224no—
487C2×D4—224no—
488C2×D4—2232no—
489C2×D4—224no—
490C2×D4—224no—
491C2×D4—222no—
492C2×D4—224no—
493C2×D4—224no—
494C2×D4—222no—
495C2×D4—448no—
496C2×D4—448no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—42no—
500C22×C4—112no—
501C22×C4—118no—
502C22×C4—112no—
503C22×C4—112no—
504C22×C4—114no—
505C22×C4—224no—
506C22×C4—224no—
507C22×C4—224no—
508C22×C4—228no—
509C22×C4—228no—
510C22×C4—228no—
511C22×C4—448no—
512C22×C4—448no—
513C22×C4—448no—
514C22×C4—444no—
515C22×C4C2×C4×D1114yes—
516C22×C4C2×D4414yes—
517C22×C4#433914yes—
518C22×C4C23×D1112yes—
519C22×C4C23×D1114yes—
520C22×C4C23×D1112yes—
521C22×C4C23×D1112yes—
522C22×C4C23×D1112yes—
523C22×C4C23×D1111yescharacteristic
524C22×C4C23×D1111yescharacteristic
525C4⋊C4—224no—
526C4⋊C4—228no—
527C4⋊C4—224no—
528C4⋊C4—222no—
529C4⋊C4—222no—
530C4⋊C4—448no—
531C4⋊C4C2×C4×D1118yes—
532C4⋊C4C2×D4414yes—
533C4⋊C4C2×D4414yes—
534C22⋊C4—1132no—
535C22⋊C4—224no—
536C22⋊C4—228no—
537C22⋊C4—228no—
538C22⋊C4—228no—
539C22⋊C4—2216no—
540C22⋊C4—228no—
541C22⋊C4—448no—
542C22⋊C4—444no—
543C22⋊C4C2×C4×D1118yes—
544C22⋊C4C2×D4418yes—
545C42—22no—
546C42—24no—
547C42—22no—
548C42—28no—
549C42—44no—
550C42—224no—
551C42—228no—
552C42C2×C4×D1118yes—
553C42C2×D4418yes—
554C11#3427511yescharacteristic, complemented, Sylow
555C23—22no—
556C23—22no—
557C23—118no—
558C23—114no—
559C23—222no—
560C23—224no—
561C23—222no—
562C23—224no—
563C23—228no—
564C23—224no—
565C23—224no—
566C23—228no—
567C23—2216no—
568C23—4416no—
569C23—884no—
570C23—884no—
571C23—888no—
572C23C22×C4×D1112yes—
573C23C22×D4412yes—
574C23C2×#433912yes—
575C23C24×D1111yescharacteristic
576Q8—228no—
577D4—2216no—
578D4—2216no—
579D4—2216no—
580D4—228no—
581D4—4432no—
582C2×C4—22no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—22no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—48no—
592C2×C4—114no—
593C2×C4—222no—
594C2×C4—222no—
595C2×C4—2216no—
596C2×C4—222no—
597C2×C4—222no—
598C2×C4—224no—
599C2×C4—228no—
600C2×C4—224no—
601C2×C4—224no—
602C2×C4—888no—
603C2×C4—888no—
604C2×C4—888no—
605C2×C4—884no—
606C2×C4C4×D44116yescomplemented
607C2×C4C22×C4×D1118yes—
608C2×C4C22×C4×D1112yes—
609C2×C4C22×C4×D1112yes—
610C2×C4C22×D4414yes—
611C2×C4C22×D4414yes—
612C2×C4C22×D4412yes—
613C2×C4C22×D4412yes—
614C2×C4C2×#433912yes—
615C2×C4C2×#433912yes—
616C2×C4#6704214yes—
617C22—22no—
618C22—22no—
619C22—24no—
620C22—24no—
621C22—224no—
622C22—228no—
623C22—228no—
624C22—2216no—
625C22—442no—
626C22—444no—
627C22—444no—
628C22—442no—
629C22—448no—
630C22—444no—
631C22—8816no—
632C22C2×C4×D4414yes—
633C22C23×C4×D1111yescharacteristic
634C22C23×D4411yescharacteristic
635C22C22×#433911yescharacteristic
636C22C2×#6704212yes—
637C22#1062345312yes—
638C4—24no—
639C4—24no—
640C4—28no—
641C4—24no—
642C4—42no—
643C4—224no—
644C4—442no—
645C4—444no—
646C4—442no—
647C4C2×C4×D4414yes—
648C4C2×C4×D4414yes—
649C2—24no—
650C2—448no—
651C2—444no—
652C2C22×C4×D4411yescharacteristic
653C2C4×#6704212yes—
654C2#1308235112yes—
655C2#1308239411yescharacteristic
656C2#1308240911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC4×C11×#117C2
socle, cosocleC23×C11C25
prime radicalC2×#10623056C2
hypercenterC4×#117D11
hypocenterC11#34275
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×#117

Complements

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

NH ≅ G/Ntype
2. C2×#10623054C2semidirect
3. C2×#10623052C2semidirect
4. #13071656C2semidirect
5. #13071634C2semidirect
6. #13071598C2semidirect
7. #13071341C2semidirect
8. #13071327C2semidirect
9. #13071239C2semidirect
10. C4×#66927C2semidirect
11. C4×#66928C2semidirect
12. #13071106C2semidirect
13. C2×#10622552C2semidirect
14. C4×C11×#117C2semidirect
23. #10623056C4semidirect
29. C2×#66945C22semidirect
30. C2×C4⋊C4×D11C22semidirect
38. C2×C4×D44C22semidirect
39. C2×C4×D44C22semidirect
40. C2×C4×Dic22C22semidirect
41. C4×C11×C4⋊C4C22semidirect
42. C4×C11×C4⋊C4C22semidirect
44. C11×#376C22semidirect
45. C43×C11C22semidirect
47. #10622598C22semidirect
49. #10622553C22semidirect
53. #10622552C22semidirect
54. #10622552C22semidirect
55. #10622552C22semidirect
56. C4×(C2×D11)⋊C4C22semidirect
57. C4×(C2×D11)⋊C4C22semidirect
58. #10622549C22semidirect
59. #10622548C22semidirect
60. #10622542C22semidirect
61. #10622542C22semidirect
62. #10622283C22semidirect
63. #10622281C22semidirect
64. #10622278C22semidirect
65. #10622278C22semidirect
73. C2×#4339C2×C4semidirect
76. C22×D44C2×C4semidirect
86. C11×#117C2×C4semidirect
87. C11×#117D4semidirect
121. #66948C2×C4semidirect
126. #66935C2×C4semidirect
129. #66928C2×C4semidirect
130. #66927C2×C4semidirect
240. C4×#117D11semidirect
272. C2×C4×C11C4×D4semidirect
347. C4×C4⋊C4C2×D11semidirect
348. C4×C4⋊C4C2×D11semidirect
352. #376C2×D11semidirect
353. C43C2×D11semidirect
420. #117C4×D11semidirect
421. #117D44semidirect
554. C11#34275semidirect
606. C2×C4C4×D44semidirect

Maximal subgroups

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

subgroupindex
C2×#106230562
C2×#106230542
C2×#106230522
#130716562
#130716342
#130715982
#130713412
#130713272
#130712392
C4×#669272
C4×#669282
#130711062
C2×#106225522
C4×C11×#1172
#3427511