Finite Group Databasebeta

← #14926800

Subgroups — #14926800

Order 2816.

2930 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C22⋊D11C211yesmaximal, characteristic
2#13076950C212yesmaximal, complemented
3#13076900C212yesmaximal, complemented
4#13074431C212yesmaximal, complemented
5#13074423C212yesmaximal, complemented
6#13073963C214yesmaximal, complemented
7#13073798C214yesmaximal, complemented
8#13072927C212yesmaximal, complemented
9#13072068C214yesmaximal, complemented
10#13071975C212yesmaximal, complemented
11#13071228C212yesmaximal, complemented
12#13071191C212yesmaximal
13C2×#10622825C211yesmaximal, characteristic, complemented
14C22×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
15C23×Q8×C11C2211yescharacteristic, complemented
16C24×C4×C11C2211yescharacteristic
17C23×C22⋊D11C2211yescharacteristic
18C23×C4×D11C2211yescharacteristic
19C2×C11×C22⋊Q8—28no—
20C2×C11×C22⋊Q8C2212yes—
21C2×C11×C22⋊Q8C2212yes—
22C2×C11×C22⋊Q8C2212yescomplemented
23C2×C11×C22⋊Q8C2212yescomplemented
24C22×C11×C4⋊C4C2211yescharacteristic, complemented
25C22×C11×C4⋊C4C2212yescomplemented
26C22×C11×C22⋊C4C2212yes—
27C22×C22⋊Dic11C2212yes—
28C22×C22⋊Dic11C2211yescharacteristic
29C2×#66999C2214yescomplemented
30C2×C4×C22⋊D11—28no—
31C2×C4×C22⋊D11C2212yes—
32C2×C4×C22⋊D11C2212yes—
33C2×C4×C22⋊D11C2212yes—
34C2×C4×C22⋊D11C2212yes—
35C22×(C2×D11)⋊C4C2211yescharacteristic
36C22×C4⋊Dic11C2212yescomplemented
37C22×Dic11⋊C4C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39#10622844C2214yescomplemented
40#10622843C2214yescomplemented
41#10622842C2214yescomplemented
42#10622826C2214yes—
43#10622826C2214yes—
44#10622825C2212yes—
45#10622825C2212yes—
46#10622825C2212yescomplemented
47#10622825C2212yescomplemented
48#10622823C2214yescomplemented
49#10622823C2214yescomplemented
50C2×C11⋊#95C2212yescomplemented
51#10622607C2218yescomplemented
52#10622605C2214yescomplemented
53#10622602C2218yescomplemented
54#10622600C2214yescomplemented
55#10622597C2218yescomplemented
56#10622595C2214yescomplemented
57#10622591C2218yescomplemented
58#10622586C2214yescomplemented
59#10622571C2218yes—
60#10622568C2214yes—
61#10622559C2214yes—
62#10622559C2214yes—
63#10622556C2214yes—
64#10622555C2218yescomplemented
65C25×C11C2311yescharacteristic
66C24×D11C2311yescharacteristic
67C22×Q8×C11—24no—
68C22×Q8×C11—44no—
69C22×Q8×C11C2312yes—
70C22×Q8×C11C2312yes—
71C23×C4×C11—44no—
72C23×C4×C11D418yes—
73C23×C4×C11C2311yescharacteristic
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2311yescharacteristic
76C23×C4×C11C2312yes—
77C23×C4×C11C2312yes—
78C23×C4×C11C2311yescharacteristic
79C23×C4×C11C2311yescharacteristic
80C23×C4×C11C2311yescharacteristic
81C22×C22⋊D11—24no—
82C22×C22⋊D11—24no—
83C22×C22⋊D11Q818yescomplemented
84C22×C22⋊D11C2312yes—
85C22×C22⋊D11C2312yes—
86C23×Dic11C2311yescharacteristic
87C23×Dic11C2311yescharacteristic
88C23×Dic11C2311yescharacteristic
89C23×Dic11C2314yes—
90C22×C4×D11—24no—
91C22×C4×D11—44no—
92C22×C4×D11C2312yes—
93C22×C4×D11C2312yes—
94C11×C22⋊Q8—28no—
95C11×C22⋊Q8—28no—
96C11×C22⋊Q8—28no—
97C11×C22⋊Q8—28no—
98C2×C11×C4⋊C4—24no—
99C2×C11×C4⋊C4—28no—
100C2×C11×C4⋊C4C2312yes—
101C2×C11×C4⋊C4C2314yes—
102C2×C11×C4⋊C4C2312yes—
103C2×C11×C4⋊C4C2314yes—
104C2×C11×C22⋊C4—28no—
105C2×C11×C22⋊C4C2314yes—
106C2×C11×C22⋊C4C2314yes—
107C2×C22⋊Dic11—24no—
108C2×C22⋊Dic11—28no—
109C2×C22⋊Dic11C2312yes—
110C2×C22⋊Dic11C2312yes—
111C2×C22⋊Dic11C2314yes—
112C2×C22⋊Dic11C2314yes—
113#66999—48no—
114C4×C22⋊D11—28no—
115C4×C22⋊D11—28no—
116C4×C22⋊D11—28no—
117C4×C22⋊D11—28no—
118C2×(C2×D11)⋊C4—24no—
119C2×(C2×D11)⋊C4C2312yes—
120C2×(C2×D11)⋊C4C2312yes—
121C2×(C2×D11)⋊C4C2318yes—
122C2×(C2×D11)⋊C4C2318yes—
123C2×C4⋊Dic11—44no—
124C2×C4⋊Dic11C2314yes—
125C2×C4⋊Dic11C2314yes—
126C2×Dic11⋊C4—24no—
127C2×Dic11⋊C4C2312yes—
128C2×Dic11⋊C4C2312yes—
129C2×Dic11⋊C4C2318yes—
130C2×Dic11⋊C4C2318yes—
131C2×C4×Dic11—24no—
132C2×C4×Dic11C2312yes—
133C2×C4×Dic11C2312yes—
134C11⋊#95C2318yes—
135C11⋊#95C2318yes—
136C11⋊#95C2318yes—
137C11⋊#95C2318yes—
138C11⋊#95C2314yes—
139C11⋊#95C2314yes—
140#35010—111nomaximal, Sylow
141C24×C11—42no—
142C24×C11—42no—
143C24×C11C2×D414yes—
144C24×C11C2×Q814yes—
145C24×C11#4114yes—
146C24×C11C2411yescharacteristic
147C24×C11C2411yescharacteristic
148C24×C11C2411yescharacteristic
149C23×D11—22no—
150C23×D11—22no—
151C23×D11—42no—
152C23×D11—42no—
153C23×D11C2×Q814yescomplemented
154C23×D11C2412yes—
155C2×Q8×C11—24no—
156C2×Q8×C11—24no—
157C2×Q8×C11—28no—
158C2×Q8×C11—44no—
159C2×Q8×C11—416no—
160C22×C4×C11—24no—
161C22×C4×C11—24no—
162C22×C4×C11—24no—
163C22×C4×C11—24no—
164C22×C4×C11—24no—
165C22×C4×C11—416no—
166C22×C4×C11—42no—
167C22×C4×C11—42no—
168C22×C4×C11—42no—
169C22×C4×C11—44no—
170C22×C4×C11—44no—
171C22×C4×C11C2×D414yes—
172C22×C4×C11C2×D414yes—
173C22×C4×C11C2×D414yes—
174C22×C4×C11C2×D414yes—
175C22×C4×C11C2×D414yes—
176C22×C4×C11C2×D414yes—
177C22×C4×C11C2414yes—
178C22×C4×C11C2414yes—
179C22×C4×C11C2411yescharacteristic
180C22×C4×C11C2411yescharacteristic
181C22×C4×C11C2411yescharacteristic
182C22×C4×C11C2411yescharacteristic
183C2×C22⋊D11—232no—
184C2×C22⋊D11—24no—
185C2×C22⋊D11—24no—
186C2×C22⋊D11—24no—
187C2×C22⋊D11—24no—
188C2×C22⋊D11C2×Q818yes—
189C2×C22⋊D11C2×Q818yescomplemented
190C22×Dic11—22no—
191C22×Dic11—22no—
192C22×Dic11—22no—
193C22×Dic11—22no—
194C22×Dic11—28no—
195C22×Dic11—42no—
196C22×Dic11—42no—
197C22×Dic11—44no—
198C22×Dic11—44no—
199C22×Dic11C2×Q814yescomplemented
200C22×Dic11C2418yes—
201C22×Dic11C2412yes—
202C22×Dic11C2412yes—
203C22×Dic11C2412yes—
204C2×C4×D11—24no—
205C2×C4×D11—24no—
206C2×C4×D11—28no—
207C2×C4×D11—44no—
208C2×C4×D11—416no—
209C11×C4⋊C4—24no—
210C11×C4⋊C4—24no—
211C11×C4⋊C4—28no—
212C11×C4⋊C4—28no—
213C11×C22⋊C4—28no—
214C11×C22⋊C4—28no—
215C22⋊Dic11—24no—
216C22⋊Dic11—24no—
217C22⋊Dic11—28no—
218C22⋊Dic11—28no—
219(C2×D11)⋊C4—24no—
220(C2×D11)⋊C4—24no—
221(C2×D11)⋊C4—48no—
222(C2×D11)⋊C4—48no—
223C4⋊Dic11—28no—
224C4⋊Dic11—44no—
225Dic11⋊C4—24no—
226Dic11⋊C4—24no—
227Dic11⋊C4—48no—
228Dic11⋊C4—48no—
229C4×Dic11—24no—
230C4×Dic11—24no—
231C22×C22⋊Q8D1111yescharacteristic, complemented
232C22×C4×D4—111no—
233#2855—112no—
234#2848—112no—
235#2627—112no—
236#2626—112no—
237#2579—114no—
238#2564—114no—
239#2487—112no—
240#2417—114no—
241#2409—112no—
242#2315—112no—
243#2308—112no—
244C2×#380—111no—
245C23×C11—22no—
246C23×C11—22no—
247C23×C11—22no—
248C23×C11—22no—
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—44no—
252C23×C11—44no—
253C23×C11—48no—
254C23×C11—48no—
255C23×C11C22⋊Q8116yescomplemented
256C23×C11C22×D412yes—
257C23×C11C22×D412yes—
258C23×C11C22×D412yes—
259C23×C11C22×Q812yes—
260C23×C11C22×Q812yes—
261C23×C11C22×Q812yes—
262C23×C11C2×#4112yes—
263C23×C11C2×#4112yes—
264C23×C11C2×#4112yes—
265C23×C11C2511yescharacteristic
266C22×D11—28no—
267C22×D11—22no—
268C22×D11—22no—
269C22×D11—24no—
270C22×D11—24no—
271C22×D11—48no—
272C22×D11—44no—
273C22×D11—44no—
274C22×D11—48no—
275C22×D11C22×Q814yes—
276Q8×C11—48no—
277Q8×C11—48no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—28no—
282C2×C4×C11—28no—
283C2×C4×C11—28no—
284C2×C4×C11—24no—
285C2×C4×C11—24no—
286C2×C4×C11—28no—
287C2×C4×C11—28no—
288C2×C4×C11—44no—
289C2×C4×C11—44no—
290C2×C4×C11—44no—
291C2×C4×C11—48no—
292C2×C4×C11—48no—
293C2×C4×C11C22×D412yes—
294C2×C4×C11C22×D412yes—
295C2×C4×C11C22×D412yes—
296C2×C4×C11C22×D412yes—
297C2×C4×C11H(5,𝔽2)14yes—
298C22⋊D11—216no—
299C22⋊D11—216no—
300C2×Dic11—28no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—28no—
306C2×Dic11—24no—
307C2×Dic11—28no—
308C2×Dic11—24no—
309C2×Dic11—28no—
310C2×Dic11—44no—
311C2×Dic11—44no—
312C2×Dic11—88no—
313C2×Dic11C22×Q814yes—
314C4×D11—48no—
315C4×D11—48no—
316C23×Q8C2×D1111yescharacteristic, complemented
317C23×D4—111no—
318C24×C4—111no—
319C24×C4C2×D1111yescharacteristic
320C2×C22⋊Q8—28no—
321C2×C22⋊Q8—114no—
322C2×C22⋊Q8C2×D1112yes—
323C2×C22⋊Q8C2×D1112yes—
324C2×C22⋊Q8C2×D1112yescomplemented
325C2×C22⋊Q8C2×D1112yescomplemented
326C2×C4×D4—112no—
327C2×C4×D4—112no—
328C2×C4×D4—112no—
329C2×C4×D4—112no—
330C2×C4×D4—228no—
331C22×C4⋊C4—111no—
332C22×C4⋊C4—112no—
333C22×C4⋊C4C2×D1112yescomplemented
334C22×C4⋊C4C2×D1111yescharacteristic, complemented
335C22×C22⋊C4—112no—
336C22×C22⋊C4—111no—
337C22×C22⋊C4—111no—
338C22×C22⋊C4C2×D1112yes—
339C22×C42—111no—
340#400—114no—
341#399—114no—
342#398—118no—
343#396—118no—
344#395—114no—
345#393—114no—
346#391—114no—
347#389—114no—
348#387—118no—
349#386—114no—
350#386—114no—
351#386—118no—
352#385—114no—
353#385—114no—
354#385—118no—
355#385—114no—
356#385—114no—
357#381—114no—
358#380—112no—
359#380—112no—
360#380—112no—
361#380—112no—
362#380—114no—
363#380—118no—
364#379—114no—
365C2×#95—112no—
366C22×C11—22no—
367C22×C11—22no—
368C22×C11—22no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—24no—
373C22×C11—24no—
374C22×C11—24no—
375C22×C11—24no—
376C22×C11—24no—
377C22×C11—24no—
378C22×C11—416no—
379C22×C11C2×C22⋊Q814yes—
380C22×C11C2×C22⋊Q814yes—
381C22×C11C2×C22⋊Q814yes—
382C22×C11C23×D411yescharacteristic
383C22×C11C23×Q811yescharacteristic
384C22×C11C22×#4111yescharacteristic
385C22×C11C2×H(5,𝔽2)12yes—
386C22×C11#58512yes—
387C2×D11—24no—
388C2×D11—28no—
389C2×D11—416no—
390C2×D11—42no—
391C2×D11—42no—
392C2×D11—44no—
393C4×C11—22no—
394C4×C11—22no—
395C4×C11—22no—
396C4×C11—44no—
397C4×C11—44no—
398C4×C11#53414yes—
399Dic11—24no—
400Dic11—42no—
401Dic11—42no—
402Dic11—48no—
403C25—111no—
404C25C22×D1111yescharacteristic
405C22×Q8—24no—
406C22×Q8—44no—
407C22×Q8C22×D1112yes—
408C22×Q8C22×D1112yes—
409C22×D4—118no—
410C22×D4—112no—
411C22×D4—112no—
412C22×D4—224no—
413C22×D4—224no—
414C23×C4—44no—
415C23×C4—111no—
416C23×C4—111no—
417C23×C4—111no—
418C23×C4—114no—
419C23×C4—112no—
420C23×C4—112no—
421C23×C4—224no—
422C23×C4—444no—
423C23×C4C22⋊D1118yes—
424C23×C4C22×D1111yescharacteristic
425C23×C4C22×D1111yescharacteristic
426C23×C4C22×D1111yescharacteristic
427C23×C4C22×D1112yes—
428C23×C4C22×D1112yes—
429C23×C4C22×D1111yescharacteristic
430C23×C4C22×D1111yescharacteristic
431C23×C4C22×D1111yescharacteristic
432C22⋊Q8—28no—
433C22⋊Q8—28no—
434C22⋊Q8—28no—
435C22⋊Q8—28no—
436C22⋊Q8—448no—
437C4×D4—228no—
438C4×D4—228no—
439C4×D4—228no—
440C4×D4—228no—
441C2×C4⋊C4—24no—
442C2×C4⋊C4—28no—
443C2×C4⋊C4—112no—
444C2×C4⋊C4—112no—
445C2×C4⋊C4—114no—
446C2×C4⋊C4—114no—
447C2×C4⋊C4—118no—
448C2×C4⋊C4—118no—
449C2×C4⋊C4—224no—
450C2×C4⋊C4—444no—
451C2×C4⋊C4C22×D1112yes—
452C2×C4⋊C4C22×D1114yes—
453C2×C4⋊C4C22×D1114yes—
454C2×C4⋊C4C22×D1112yes—
455C2×C22⋊C4—28no—
456C2×C22⋊C4—112no—
457C2×C22⋊C4—112no—
458C2×C22⋊C4—114no—
459C2×C22⋊C4—114no—
460C2×C22⋊C4—112no—
461C2×C22⋊C4—112no—
462C2×C22⋊C4—118no—
463C2×C22⋊C4—118no—
464C2×C22⋊C4—228no—
465C2×C22⋊C4—224no—
466C2×C22⋊C4—224no—
467C2×C22⋊C4C22×D1114yes—
468C2×C22⋊C4C22×D1114yes—
469C2×C42—112no—
470C2×C42—112no—
471C2×C42—224no—
472#95—114no—
473#95—114no—
474#95—118no—
475#95—118no—
476#95—118no—
477#95—118no—
478C2×C11—24no—
479C2×C11—24no—
480C2×C11—24no—
481C2×C11C22×C22⋊Q811yescharacteristic
482C2×C11C2×#53411yescharacteristic
483C2×C11#344911yescharacteristic
484C2×C11#350112yes—
485C2×C11#350512yes—
486D11—44no—
487C24—42no—
488C24—42no—
489C24—112no—
490C24—114no—
491C24—222no—
492C24—222no—
493C24—442no—
494C24—442no—
495C24Q8×D1114yes—
496C24#434314yes—
497C24C2×C22⋊D1114yes—
498C24C23×D1111yescharacteristic
499C24C23×D1111yescharacteristic
500C24C23×D1111yescharacteristic
501C2×Q8—28no—
502C2×Q8—24no—
503C2×Q8—24no—
504C2×Q8—44no—
505C2×Q8—416no—
506C2×D4—118no—
507C2×D4—118no—
508C2×D4—2232no—
509C2×D4—224no—
510C2×D4—224no—
511C2×D4—224no—
512C2×D4—224no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—416no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—114no—
525C22×C4—112no—
526C22×C4—118no—
527C22×C4—112no—
528C22×C4—112no—
529C22×C4—222no—
530C22×C4—222no—
531C22×C4—222no—
532C22×C4—222no—
533C22×C4—228no—
534C22×C4—228no—
535C22×C4—224no—
536C22×C4—224no—
537C22×C4—444no—
538C22×C4—4416no—
539C22×C4—442no—
540C22×C4—442no—
541C22×C4—444no—
542C22×C4—444no—
543C22×C4C2×C22⋊D1114yes—
544C22×C4C2×C22⋊D1114yes—
545C22×C4C2×C22⋊D1114yes—
546C22×C4C2×C22⋊D1114yes—
547C22×C4C2×C22⋊D1114yes—
548C22×C4C2×C22⋊D1114yes—
549C22×C4C23×D1114yes—
550C22×C4C23×D1114yes—
551C22×C4C23×D1111yescharacteristic
552C22×C4C23×D1111yescharacteristic
553C22×C4C23×D1111yescharacteristic
554C22×C4C23×D1111yescharacteristic
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—28no—
558C4⋊C4—28no—
559C4⋊C4—228no—
560C4⋊C4—224no—
561C4⋊C4—224no—
562C4⋊C4—444no—
563C4⋊C4—448no—
564C4⋊C4—448no—
565C22⋊C4—28no—
566C22⋊C4—28no—
567C22⋊C4—228no—
568C22⋊C4—228no—
569C22⋊C4—224no—
570C22⋊C4—224no—
571C22⋊C4—224no—
572C22⋊C4—224no—
573C22⋊C4—448no—
574C22⋊C4—448no—
575C42—224no—
576C42—224no—
577C11#3501011yescharacteristic, complemented, Sylow
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—44no—
585C23—48no—
586C23—48no—
587C23—44no—
588C23—114no—
589C23—228no—
590C23—224no—
591C23—222no—
592C23—224no—
593C23—222no—
594C23—448no—
595C23—444no—
596C23—444no—
597C23—448no—
598C23#66999116yescomplemented
599C23C2×Q8×D1112yes—
600C23C2×Q8×D1112yes—
601C23C2×Q8×D1112yes—
602C23C2×#434312yes—
603C23C2×#434312yes—
604C23C2×#434312yes—
605C23C22×C22⋊D1112yes—
606C23C22×C22⋊D1112yes—
607C23C22×C22⋊D1112yes—
608C23C24×D1111yescharacteristic
609Q8—48no—
610Q8—48no—
611D4—2216no—
612D4—2216no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—28no—
617C2×C4—28no—
618C2×C4—28no—
619C2×C4—28no—
620C2×C4—28no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—44no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—48no—
627C2×C4—48no—
628C2×C4—114no—
629C2×C4—228no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—228no—
633C2×C4—224no—
634C2×C4—228no—
635C2×C4—228no—
636C2×C4—224no—
637C2×C4—222no—
638C2×C4—222no—
639C2×C4—448no—
640C2×C4—444no—
641C2×C4—444no—
642C2×C4—448no—
643C2×C4—888no—
644C2×C4#6703714yes—
645C2×C4C22×C22⋊D1112yes—
646C2×C4C22×C22⋊D1112yes—
647C2×C4C22×C22⋊D1112yes—
648C2×C4C22×C22⋊D1112yes—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—22no—
656C22—22no—
657C22—22no—
658C22—24no—
659C22—24no—
660C22—24no—
661C22—416no—
662C22—228no—
663C22—224no—
664C22—4416no—
665C22—442no—
666C22—442no—
667C22—444no—
668C22C2×#6699914yes—
669C22C2×#6699914yes—
670C22C2×#6699914yes—
671C22C2×#6703712yes—
672C22C22×Q8×D1111yescharacteristic
673C22C22×#434311yescharacteristic
674C22#1062345312yes—
675C22C23×C22⋊D1111yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—44no—
680C4—44no—
681C4—224no—
682C4—442no—
683C4—442no—
684C4—448no—
685C4#1062333514yes—
686C2—24no—
687C2—24no—
688C2—24no—
689C2—444no—
690C2C22×#6699911yescharacteristic
691C2C2×#1062333511yescharacteristic
692C2#1308194511yescharacteristic
693C2#1308241212yes—
694C2#1308245712yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC22×C11×C22⋊Q8C2
prime radicalC23×C22⋊D11C22
hypercenterC22×C22⋊Q8D11
hypocenterC11#35010
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. #13076950C2semidirect
3. #13076900C2semidirect
4. #13074431C2semidirect
5. #13074423C2semidirect
6. #13073963C2semidirect
7. #13073798C2semidirect
8. #13072927C2semidirect
9. #13072068C2semidirect
10. #13071975C2semidirect
11. #13071228C2semidirect
13. C2×#10622825C2semidirect
14. C22×C11×C22⋊Q8C2semidirect
15. C23×Q8×C11C22semidirect
22. C2×C11×C22⋊Q8C22semidirect
23. C2×C11×C22⋊Q8C22semidirect
24. C22×C11×C4⋊C4C22semidirect
25. C22×C11×C4⋊C4C22semidirect
29. C2×#66999C22semidirect
36. C22×C4⋊Dic11C22semidirect
39. #10622844C22semidirect
40. #10622843C22semidirect
41. #10622842C22semidirect
46. #10622825C22semidirect
47. #10622825C22semidirect
48. #10622823C22semidirect
49. #10622823C22semidirect
50. C2×C11⋊#95C22semidirect
51. #10622607C22semidirect
52. #10622605C22semidirect
53. #10622602C22semidirect
54. #10622600C22semidirect
55. #10622597C22semidirect
56. #10622595C22semidirect
57. #10622591C22semidirect
58. #10622586C22semidirect
64. #10622555C22semidirect
83. C22×C22⋊D11Q8semidirect
153. C23×D11C2×Q8semidirect
189. C2×C22⋊D11C2×Q8semidirect
199. C22×Dic11C2×Q8semidirect
231. C22×C22⋊Q8D11semidirect
255. C23×C11C22⋊Q8semidirect
316. C23×Q8C2×D11semidirect
324. C2×C22⋊Q8C2×D11semidirect
325. C2×C22⋊Q8C2×D11semidirect
333. C22×C4⋊C4C2×D11semidirect
334. C22×C4⋊C4C2×D11semidirect
577. C11#35010semidirect
598. C23#66999semidirect

Maximal subgroups

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

subgroupindex
C22×C4×C22⋊D112
#130769502
#130769002
#130744312
#130744232
#130739632
#130737982
#130729272
#130720682
#130719752
#130712282
#130711912
C2×#106228252
C22×C11×C22⋊Q82
#3501011