Finite Group Databasebeta

← #14914114

Subgroups — #14914114

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
1C2×#10623329C211yesmaximal, characteristic, complemented
2C22×#66979C211yesmaximal, characteristic, complemented
3#13071658C214yesmaximal, complemented
4#13071636C214yesmaximal, complemented
5#13071465C214yesmaximal, complemented
6D4×C22⋊Dic11C214yesmaximal, complemented
7#13071311C214yesmaximal, complemented
8#13071234C211yesmaximal, characteristic, complemented
9#13071198C211yesmaximal, characteristic, complemented
10#121×Dic11C214yesmaximal, complemented
11#13070999C211yesmaximal, characteristic, complemented
12#13070973C211yesmaximal, characteristic, complemented
13C22×C11×#121C211yesmaximal, characteristic
14C23×D4×C11C2211yescharacteristic
15C23×D4×C11C2212yes—
16C24×C4×C11C2211yescharacteristic
17C2×C11×#121C4116yescomplemented
18C2×C11×#121C2212yes—
19C2×C11×#121C2212yes—
20C2×C11×#121C2212yes—
21C2×C11×#121C2212yes—
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2212yes—
24C22×C22⋊Dic11C2212yes—
25C22×C22⋊Dic11C2214yes—
26#10623329—28no—
27C2×D4×Dic11C2214yescomplemented
28C2×D4×Dic11C2214yescomplemented
29C2×D4×Dic11C2218yescomplemented
30C2×#66979—28no—
31C2×#66979C2211yescharacteristic
32C2×#66979C2211yescharacteristic
33C2×#66979C2212yes—
34C2×#66979C2211yescharacteristic
35C2×#66979C2211yescharacteristic
36C2×#66979C2212yescomplemented
37C2×#66979C2212yescomplemented
38C22×C4⋊Dic11C2212yescomplemented
39C22×C4×Dic11C2212yescomplemented
40#10622860C2212yes—
41#10622860C2214yes—
42#10622834C2214yescomplemented
43#10622834C2214yescomplemented
44#10622834C2218yescomplemented
45#10622833C2218yescomplemented
46#10622833C2218yescomplemented
47#10622825C2214yes—
48#10622825C2212yescomplemented
49#10622825C2212yescomplemented
50#10622824C2212yes—
51C4×C22⋊Dic11C2214yes—
52C4×C22⋊Dic11C2212yescomplemented
53C4×C22⋊Dic11C2212yescomplemented
54#10622598C2214yescomplemented
55#10622598C2214yescomplemented
56C4⋊C4×Dic11C2214yescomplemented
57C4⋊C4×Dic11C2214yescomplemented
58#10622564C2218yescomplemented
59#10622564C2218yescomplemented
60#10622563C2218yescomplemented
61C22⋊C4×Dic11C2218yescomplemented
62C25×C11C2311yescharacteristic
63C25×C11C2312yes—
64C22×D4×C11—24no—
65C22×D4×C11—24no—
66C22×D4×C11—48no—
67C22×D4×C11C2×C418yescomplemented
68C22×D4×C11C2×C4116yescomplemented
69C22×D4×C11C2314yes—
70C22×D4×C11C2312yes—
71C22×D4×C11C2312yes—
72C22×D4×C11C2314yes—
73C23×C4×C11—24no—
74C23×C4×C11—24no—
75C23×C4×C11C2×C418yescomplemented
76C23×C4×C11C2311yescharacteristic
77C23×C4×C11C2311yescharacteristic
78C23×C4×C11C2311yescharacteristic
79C23×C4×C11C2311yescharacteristic
80C23×C4×C11C2311yescharacteristic
81C23×C4×C11C2312yes—
82C23×C4×C11C2311yescharacteristic
83C23×Dic11C2314yes—
84C23×Dic11C2318yes—
85C11×#121C2×C4116yescomplemented
86C11×#121C2×C4116yescomplemented
87C11×#121C2×C4116yescomplemented
88C11×#121C2×C4116yescomplemented
89C2×C11×C4⋊C4C2×C418yescomplemented
90C2×C11×C4⋊C4C2312yes—
91C2×C11×C4⋊C4C2312yes—
92C2×C11×C22⋊C4C2×C4116yescomplemented
93C2×C11×C22⋊C4C2314yes—
94C2×C11×C22⋊C4C2314yes—
95C2×C22⋊Dic11—28no—
96C2×C22⋊Dic11—216no—
97C2×C22⋊Dic11C2312yes—
98C2×C22⋊Dic11C2312yes—
99C2×C22⋊Dic11C2312yes—
100C2×C22⋊Dic11C2314yes—
101C2×C22⋊Dic11C2318yes—
102C2×C22⋊Dic11C2314yes—
103C2×C22⋊Dic11C2318yes—
104C2×C22⋊Dic11C2318yes—
105C2×C22⋊Dic11C2314yes—
106C2×C22⋊Dic11C2312yes—
107D4×Dic11—216no—
108D4×Dic11—216no—
109D4×Dic11—416no—
110#66979—24no—
111#66979—24no—
112#66979—24no—
113#66979—28no—
114#66979—28no—
115#66979—28no—
116#66979D418yescomplemented
117C2×C4⋊Dic11—28no—
118C2×C4⋊Dic11C2314yes—
119C2×C4⋊Dic11C2312yes—
120C2×C4⋊Dic11C2312yes—
121C2×C4⋊Dic11C2312yes—
122C2×C4⋊Dic11C2318yes—
123C2×C4⋊Dic11C2312yes—
124C2×C4×Dic11—28no—
125C2×C4×Dic11C2314yes—
126C2×C4×Dic11C2312yes—
127C2×C4×Dic11C2312yes—
128C2×C4×Dic11C2312yes—
129C2×C4×Dic11C2318yes—
130C2×C4×Dic11C2312yes—
131C11⋊#95C2314yes—
132C11⋊#95C2318yes—
133C11⋊#95C2314yes—
134C11⋊#95C2318yes—
135#34204—111nomaximal, Sylow
136C24×C11—22no—
137C24×C11—22no—
138C24×C11—24no—
139C24×C11—24no—
140C24×C11—24no—
141C24×C11—42no—
142C24×C11—44no—
143C24×C11—44no—
144C24×C11C22×C414yes—
145C24×C11C22×C418yes—
146C24×C11C2411yescharacteristic
147C24×C11C2414yes—
148C24×C11C2411yescharacteristic
149C24×C11C2411yescharacteristic
150C2×D4×C11—216no—
151C2×D4×C11—232no—
152C2×D4×C11—24no—
153C2×D4×C11—24no—
154C2×D4×C11—24no—
155C2×D4×C11—24no—
156C2×D4×C11—48no—
157C2×D4×C11—432no—
158C2×D4×C11C22×C4116yes—
159C2×D4×C11C22×C418yes—
160C2×D4×C11C22×C418yes—
161C2×D4×C11C22×C4116yes—
162C22×C4×C11—22no—
163C22×C4×C11—22no—
164C22×C4×C11—232no—
165C22×C4×C11—22no—
166C22×C4×C11—22no—
167C22×C4×C11—22no—
168C22×C4×C11—22no—
169C22×C4×C11—22no—
170C22×C4×C11—22no—
171C22×C4×C11—22no—
172C22×C4×C11—22no—
173C22×C4×C11—44no—
174C22×C4×C11C22×C414yes—
175C22×C4×C11C22×C414yes—
176C22×C4×C11C22×C414yes—
177C22×C4×C11C22×C414yes—
178C22×C4×C11C22×C414yes—
179C22×C4×C11C22×C418yes—
180C22×C4×C11C22×C414yes—
181C22×C4×C11C2×D414yes—
182C22×C4×C11#4114yes—
183C22×C4×C11C2411yescharacteristic
184C22×C4×C11C2414yes—
185C22×C4×C11C2411yescharacteristic
186C22×C4×C11C2411yescharacteristic
187C22×C4×C11C2411yescharacteristic
188C22×Dic11—28no—
189C22×Dic11—216no—
190C22×Dic11—28no—
191C22×Dic11—44no—
192C22×Dic11—48no—
193C22×Dic11—48no—
194C22×Dic11C2414yes—
195C22×Dic11C2414yes—
196C22×Dic11C2414yes—
197C22×Dic11C2414yes—
198C11×C4⋊C4C22×C418yes—
199C11×C4⋊C4C22×C418yes—
200C11×C22⋊C4C22×C4116yes—
201C11×C22⋊C4C22×C4116yes—
202C22⋊Dic11—28no—
203C22⋊Dic11—216no—
204C22⋊Dic11—24no—
205C22⋊Dic11—24no—
206C22⋊Dic11—24no—
207C22⋊Dic11—28no—
208C22⋊Dic11—48no—
209C22⋊Dic11—44no—
210C22⋊Dic11—48no—
211C22⋊Dic11C2×D418yes—
212C4⋊Dic11—28no—
213C4⋊Dic11—24no—
214C4⋊Dic11—24no—
215C4⋊Dic11—24no—
216C4⋊Dic11—48no—
217C4⋊Dic11C2×D418yescomplemented
218C4×Dic11—28no—
219C4×Dic11—24no—
220C4×Dic11—24no—
221C4×Dic11—24no—
222C4×Dic11—48no—
223C4×Dic11C2×D418yescomplemented
224C22×#121D1111yescharacteristic
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#2280—111no—
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—24no—
246C23×C11—21no—
247C23×C11—24no—
248C23×C11—28no—
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—28no—
252C23×C11—216no—
253C23×C11—44no—
254C23×C11—48no—
255C23×C11—48no—
256C23×C11—48no—
257C23×C11—48no—
258C23×C11—88no—
259C23×C11—88no—
260C23×C11C23×C418yes—
261C23×C11C23×C412yes—
262C23×C11C23×C412yes—
263C23×C11C23×C412yes—
264C23×C11C22×D412yes—
265C23×C11C2×#4112yes—
266C23×C11H(5,𝔽2)14yes—
267C23×C11C2511yescharacteristic
268D4×C11—232no—
269D4×C11—216no—
270D4×C11—216no—
271D4×C11—416no—
272C2×C4×C11—28no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—28no—
278C2×C4×C11—28no—
279C2×C4×C11—28no—
280C2×C4×C11—28no—
281C2×C4×C11—28no—
282C2×C4×C11—48no—
283C2×C4×C11C4×D4116yescomplemented
284C2×C4×C11C23×C412yes—
285C2×C4×C11C23×C412yes—
286C2×C4×C11C23×C418yes—
287C2×C4×C11C23×C412yes—
288C2×C4×C11C23×C412yes—
289C2×C4×C11C22×D412yes—
290C2×C4×C11C22×D412yes—
291C2×C4×C11C2×#4112yes—
292C2×C4×C11C2×#4112yes—
293C2×Dic11—24no—
294C2×Dic11—24no—
295C2×Dic11—24no—
296C2×Dic11—24no—
297C2×Dic11—24no—
298C2×Dic11—24no—
299C2×Dic11—24no—
300C2×Dic11—24no—
301C2×Dic11—24no—
302C2×Dic11—24no—
303C2×Dic11—24no—
304C2×Dic11—416no—
305C2×Dic11—816no—
306C2×Dic11C22×D418yes—
307C23×D4C2×D1111yescharacteristic
308C23×D4C2×D1112yes—
309C24×C4C2×D1111yescharacteristic
310C2×#121Dic11116yescomplemented
311C2×#121C2×D1112yes—
312C2×#121C2×D1112yes—
313C2×#121C2×D1112yes—
314C2×#121C2×D1112yes—
315#518—228no—
316C2×C4×D4—114no—
317C2×C4×D4—114no—
318C2×C4×D4—118no—
319C2×#117—111no—
320C2×#117—111no—
321C2×#117—111no—
322C2×#117—111no—
323C2×#117—112no—
324C2×#117—112no—
325C2×#117—112no—
326C2×#117—228no—
327C22×C4⋊C4—112no—
328C22×C4⋊C4C2×D1111yescharacteristic
329C22×C22⋊C4—112no—
330C22×C22⋊C4—114no—
331C22×C22⋊C4C2×D1112yes—
332C22×C42—112no—
333#390—114no—
334#390—114no—
335#390—118no—
336#389—114no—
337#389—114no—
338#388—118no—
339#388—118no—
340#386—118no—
341#386—118no—
342#385—118no—
343#381—112no—
344#380—114no—
345#380—112no—
346#380—112no—
347#379—114no—
348#379—112no—
349C4×C4⋊C4—114no—
350C4×C4⋊C4—114no—
351C4×C22⋊C4—114no—
352C4×C22⋊C4—112no—
353C4×C22⋊C4—112no—
354C4×C22⋊C4—118no—
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—28no—
365C22×C11—28no—
366C22×C11—22no—
367C22×C11—22no—
368C22×C11—28no—
369C22×C11—416no—
370C22×C11—42no—
371C22×C11—48no—
372C22×C11—42no—
373C22×C11—48no—
374C22×C11—816no—
375C22×C11C2×C4×D414yes—
376C22×C11#51814yescomplemented
377C22×C11C24×C411yescharacteristic
378C22×C11C23×D411yescharacteristic
379C22×C11C22×#4111yescharacteristic
380C22×C11C2×H(5,𝔽2)12yes—
381C22×C11#58512yes—
382C4×C11—22no—
383C4×C11—22no—
384C4×C11—28no—
385C4×C11C2×C4×D414yes—
386C4×C11C2×C4×D414yes—
387Dic11—28no—
388Dic11—44no—
389Dic11—44no—
390Dic11—44no—
391C25C22×D1111yescharacteristic
392C25C22×D1112yes—
393C22×D4—24no—
394C22×D4—24no—
395C22×D4—48no—
396C22×D4C2×Dic1118yescomplemented
397C22×D4C2×Dic11116yescomplemented
398C22×D4C22×D1114yes—
399C22×D4C22×D1112yes—
400C22×D4C22×D1112yes—
401C22×D4C22×D1114yes—
402C23×C4—24no—
403C23×C4—24no—
404C23×C4—114no—
405C23×C4—118no—
406C23×C4C2×Dic1118yescomplemented
407C23×C4C22×D1111yescharacteristic
408C23×C4C22×D1111yescharacteristic
409C23×C4C22×D1111yescharacteristic
410C23×C4C22×D1111yescharacteristic
411C23×C4C22×D1111yescharacteristic
412C23×C4C22×D1112yes—
413C23×C4C22×D1111yescharacteristic
414#121C2×Dic11116yescomplemented
415#121C2×Dic11116yescomplemented
416#121C2×Dic11116yescomplemented
417#121C2×Dic11116yescomplemented
418C4×D4—2216no—
419C4×D4—2216no—
420C4×D4—4416no—
421#117—118no—
422#117—228no—
423#117—228no—
424#117—228no—
425#117—224no—
426#117—224no—
427#117—224no—
428C2×C4⋊C4—112no—
429C2×C4⋊C4—114no—
430C2×C4⋊C4—112no—
431C2×C4⋊C4—112no—
432C2×C4⋊C4—112no—
433C2×C4⋊C4—118no—
434C2×C4⋊C4—228no—
435C2×C4⋊C4C2×Dic1118yescomplemented
436C2×C4⋊C4C22×D1112yes—
437C2×C4⋊C4C22×D1112yes—
438C2×C22⋊C4—112no—
439C2×C22⋊C4—112no—
440C2×C22⋊C4—112no—
441C2×C22⋊C4—114no—
442C2×C22⋊C4—118no—
443C2×C22⋊C4—112no—
444C2×C22⋊C4—114no—
445C2×C22⋊C4—118no—
446C2×C22⋊C4—114no—
447C2×C22⋊C4—118no—
448C2×C22⋊C4—228no—
449C2×C22⋊C4—2216no—
450C2×C22⋊C4C2×Dic11116yescomplemented
451C2×C22⋊C4C22×D1114yes—
452C2×C22⋊C4C22×D1114yes—
453C2×C42—112no—
454C2×C42—114no—
455C2×C42—112no—
456C2×C42—112no—
457C2×C42—112no—
458C2×C42—118no—
459C2×C42—228no—
460#95—114no—
461#95—118no—
462#95—114no—
463#95—118no—
464C2×C11—24no—
465C2×C11—24no—
466C2×C11—42no—
467C2×C11—48no—
468C2×C11C22×C4×D411yescharacteristic
469C2×C11C2×#51811yescharacteristic
470C2×C11#342811yescharacteristic
471C2×C11#348812yes—
472C2×C11#349412yes—
473C24—22no—
474C24—22no—
475C24—24no—
476C24—24no—
477C24—24no—
478C24—42no—
479C24—44no—
480C24—44no—
481C24C22×Dic1114yes—
482C24C22×Dic1118yes—
483C24C23×D1111yescharacteristic
484C24C23×D1114yes—
485C24C23×D1111yescharacteristic
486C24C23×D1111yescharacteristic
487C2×D4—216no—
488C2×D4—232no—
489C2×D4—24no—
490C2×D4—24no—
491C2×D4—24no—
492C2×D4—24no—
493C2×D4—48no—
494C2×D4—432no—
495C2×D4C22×Dic11116yes—
496C2×D4C22×Dic1118yes—
497C2×D4C22×Dic1118yes—
498C2×D4C22×Dic11116yes—
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—44no—
511C22×C4—114no—
512C22×C4—114no—
513C22×C4—114no—
514C22×C4—114no—
515C22×C4—228no—
516C22×C4—2216no—
517C22×C4—228no—
518C22×C4—444no—
519C22×C4—448no—
520C22×C4—448no—
521C22×C4D4×D1114yes—
522C22×C4#434114yes—
523C22×C4C22×Dic1114yes—
524C22×C4C22×Dic1114yes—
525C22×C4C22×Dic1114yes—
526C22×C4C22×Dic1114yes—
527C22×C4C22×Dic1114yes—
528C22×C4C22×Dic1118yes—
529C22×C4C22×Dic1114yes—
530C22×C4C23×D1111yescharacteristic
531C22×C4C23×D1114yes—
532C22×C4C23×D1111yescharacteristic
533C22×C4C23×D1111yescharacteristic
534C22×C4C23×D1111yescharacteristic
535C4⋊C4—118no—
536C4⋊C4—228no—
537C4⋊C4—224no—
538C4⋊C4—224no—
539C4⋊C4—224no—
540C4⋊C4—448no—
541C4⋊C4C22×Dic1118yes—
542C4⋊C4C22×Dic1118yes—
543C22⋊C4—118no—
544C22⋊C4—228no—
545C22⋊C4—2216no—
546C22⋊C4—224no—
547C22⋊C4—224no—
548C22⋊C4—224no—
549C22⋊C4—228no—
550C22⋊C4—448no—
551C22⋊C4—448no—
552C22⋊C4—444no—
553C22⋊C4C22×Dic11116yes—
554C22⋊C4C22×Dic11116yes—
555C42—118no—
556C42—228no—
557C42—224no—
558C42—224no—
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—24no—
571C23—21no—
572C23—24no—
573C23—28no—
574C23—22no—
575C23—22no—
576C23—28no—
577C23—216no—
578C23—44no—
579C23—48no—
580C23—48no—
581C23—48no—
582C23—48no—
583C23—88no—
584C23—88no—
585C23C2×D4×D1112yes—
586C23C2×#434112yes—
587C23#6703714yes—
588C23C23×Dic1118yes—
589C23C23×Dic1112yes—
590C23C23×Dic1112yes—
591C23C23×Dic1112yes—
592C23C24×D1111yescharacteristic
593D4—232no—
594D4—216no—
595D4—216no—
596D4—416no—
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—28no—
607C2×C4—48no—
608C2×C4—118no—
609C2×C4—224no—
610C2×C4—224no—
611C2×C4—224no—
612C2×C4—224no—
613C2×C4—224no—
614C2×C4—224no—
615C2×C4—224no—
616C2×C4—224no—
617C2×C4—224no—
618C2×C4—224no—
619C2×C4—224no—
620C2×C4—4416no—
621C2×C4—8816no—
622C2×C4D4×Dic11116yescomplemented
623C2×C4C2×D4×D1112yes—
624C2×C4C2×D4×D1112yes—
625C2×C4C2×#434112yes—
626C2×C4C2×#434112yes—
627C2×C4C23×Dic1112yes—
628C2×C4C23×Dic1112yes—
629C2×C4C23×Dic1118yes—
630C2×C4C23×Dic1112yes—
631C2×C4C23×Dic1112yes—
632C22—24no—
633C22—24no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22—24no—
639C22—24no—
640C22—22no—
641C22—28no—
642C22—28no—
643C22—22no—
644C22—22no—
645C22—28no—
646C22—416no—
647C22—48no—
648C22—42no—
649C22—42no—
650C22—48no—
651C22—816no—
652C22C2×D4×Dic1114yes—
653C22#1062332914yescomplemented
654C22C22×D4×D1111yescharacteristic
655C22C22×#434111yescharacteristic
656C22C2×#6703712yes—
657C22#1062345312yes—
658C22C24×Dic1111yescharacteristic
659C4—22no—
660C4—22no—
661C4—28no—
662C4—228no—
663C4—444no—
664C4—444no—
665C4—444no—
666C4C2×D4×Dic1114yes—
667C4C2×D4×Dic1114yes—
668C2—24no—
669C2—24no—
670C2—42no—
671C2—48no—
672C2C22×D4×Dic1111yescharacteristic
673C2C2×#1062332911yescharacteristic
674C2#1308181911yescharacteristic
675C2#1308228112yes—
676C2#1308234512yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
Fitting, prime radicalC22×C11×#121C2
socle, cosocleC23×C11C25
hypercenterC22×#121D11
hypocenterC11#34204
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C22×#121

Complements

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

NH ≅ G/Ntype
1. C2×#10623329C2semidirect
2. C22×#66979C2semidirect
3. #13071658C2semidirect
4. #13071636C2semidirect
5. #13071465C2semidirect
6. D4×C22⋊Dic11C2semidirect
7. #13071311C2semidirect
8. #13071234C2semidirect
9. #13071198C2semidirect
10. #121×Dic11C2semidirect
11. #13070999C2semidirect
12. #13070973C2semidirect
17. C2×C11×#121C4semidirect
27. C2×D4×Dic11C22semidirect
28. C2×D4×Dic11C22semidirect
29. C2×D4×Dic11C22semidirect
36. C2×#66979C22semidirect
37. C2×#66979C22semidirect
38. C22×C4⋊Dic11C22semidirect
39. C22×C4×Dic11C22semidirect
42. #10622834C22semidirect
43. #10622834C22semidirect
44. #10622834C22semidirect
45. #10622833C22semidirect
46. #10622833C22semidirect
48. #10622825C22semidirect
49. #10622825C22semidirect
52. C4×C22⋊Dic11C22semidirect
53. C4×C22⋊Dic11C22semidirect
54. #10622598C22semidirect
55. #10622598C22semidirect
56. C4⋊C4×Dic11C22semidirect
57. C4⋊C4×Dic11C22semidirect
58. #10622564C22semidirect
59. #10622564C22semidirect
60. #10622563C22semidirect
61. C22⋊C4×Dic11C22semidirect
67. C22×D4×C11C2×C4semidirect
68. C22×D4×C11C2×C4semidirect
75. C23×C4×C11C2×C4semidirect
85. C11×#121C2×C4semidirect
86. C11×#121C2×C4semidirect
87. C11×#121C2×C4semidirect
88. C11×#121C2×C4semidirect
89. C2×C11×C4⋊C4C2×C4semidirect
92. C2×C11×C22⋊C4C2×C4semidirect
116. #66979D4semidirect
217. C4⋊Dic11C2×D4semidirect
223. C4×Dic11C2×D4semidirect
283. C2×C4×C11C4×D4semidirect
310. C2×#121Dic11semidirect
376. C22×C11#518semidirect
396. C22×D4C2×Dic11semidirect
397. C22×D4C2×Dic11semidirect
406. C23×C4C2×Dic11semidirect
414. #121C2×Dic11semidirect
415. #121C2×Dic11semidirect
416. #121C2×Dic11semidirect
417. #121C2×Dic11semidirect
435. C2×C4⋊C4C2×Dic11semidirect
450. C2×C22⋊C4C2×Dic11semidirect
561. C11#34204semidirect
622. C2×C4D4×Dic11semidirect
653. C22#10623329semidirect

Maximal subgroups

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

subgroupindex
C2×#106233292
C22×#669792
#130716582
#130716362
#130714652
D4×C22⋊Dic112
#130713112
#130712342
#130711982
#121×Dic112
#130709992
#130709732
C22×C11×#1212
#3420411