Finite Group Databasebeta

← #14926804

Subgroups — #14926804

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×#66977C211yesmaximal, characteristic, complemented
2#13076955C212yesmaximal, complemented
3#13076903C212yesmaximal, complemented
4#13074429C212yesmaximal, complemented
5#13074421C212yesmaximal, complemented
6#13073959C214yesmaximal, complemented
7#13073792C214yesmaximal, complemented
8#13072933C212yesmaximal, complemented
9#13072067C214yesmaximal, complemented
10#13071981C212yesmaximal, complemented
11#13071228C212yesmaximal, complemented
12#13071194C212yesmaximal
13C2×#10622825C211yesmaximal, characteristic, complemented
14C22×C4×D4×C11C211yesmaximal, characteristic
15C23×D4×C11C2211yescharacteristic
16C24×C4×C11C2211yescharacteristic
17C24×C4×C11C2211yescharacteristic
18C23×Dic22C2211yescharacteristic, complemented
19C2×C4×D4×C11—28no—
20C2×C4×D4×C11C2212yes—
21C2×C4×D4×C11C2212yes—
22C2×C4×D4×C11C2212yes—
23C2×C4×D4×C11C2212yes—
24C22×C11×C4⋊C4C2211yescharacteristic
25C22×C11×C22⋊C4C2211yescharacteristic
26C22×C11×C22⋊C4C2211yescharacteristic
27C22×C42×C11C2211yescharacteristic
28C22×C22⋊Dic11C2212yes—
29C22×C22⋊Dic11C2212yes—
30C22×C4⋊Dic11C2211yescharacteristic, complemented
31C22×C4⋊Dic11C2212yescomplemented
32C2×#66977—28no—
33C2×#66977C2212yes—
34C2×#66977C2212yes—
35C2×#66977C2212yescomplemented
36C2×#66977C2212yescomplemented
37C2×#66977C2214yescomplemented
38C22×Dic11⋊C4C2212yescomplemented
39#10622860C2214yes—
40#10622833C2214yes—
41#10622833C2214yes—
42#10622833C2218yes—
43#10622825C2212yes—
44#10622825C2212yes—
45#10622825C2212yescomplemented
46#10622825C2214yescomplemented
47#10622825C2212yescomplemented
48#10622824C2214yes—
49#10622823C2214yes—
50#10622823C2214yes—
51#10622823C2218yescomplemented
52C2×C11⋊#95C2212yescomplemented
53#10622599C2214yescomplemented
54#10622597C2218yescomplemented
55#10622592C2214yescomplemented
56#10622562C2214yescomplemented
57#10622561C2218yescomplemented
58#10622560C2214yescomplemented
59#10622559C2214yescomplemented
60#10622559C2214yescomplemented
61#10622555C2218yescomplemented
62#10622546C2218yescomplemented
63#10622542C2214yescomplemented
64#10622541C2214yescomplemented
65C25×C11C2311yescharacteristic
66C25×C11C2311yescharacteristic
67C22×D4×C11—24no—
68C22×D4×C11—24no—
69C22×D4×C11Q818yescomplemented
70C22×D4×C11C2312yes—
71C22×D4×C11C2312yes—
72C23×C4×C11—24no—
73C23×C4×C11—44no—
74C23×C4×C11—44no—
75C23×C4×C11D418yes—
76C23×C4×C11C2312yes—
77C23×C4×C11C2311yescharacteristic
78C23×C4×C11C2311yescharacteristic
79C23×C4×C11C2311yescharacteristic
80C23×C4×C11C2311yescharacteristic
81C23×C4×C11C2311yescharacteristic
82C23×C4×C11C2311yescharacteristic
83C23×C4×C11C2312yes—
84C23×C4×C11C2311yescharacteristic
85C23×C4×C11C2311yescharacteristic
86C23×C4×C11C2311yescharacteristic
87C23×Dic11C2312yes—
88C23×Dic11C2312yes—
89C23×Dic11C2314yes—
90C22×Dic22—24no—
91C22×Dic22—44no—
92C22×Dic22C2312yes—
93C22×Dic22C2312yes—
94C4×D4×C11—28no—
95C4×D4×C11—28no—
96C4×D4×C11—28no—
97C4×D4×C11—28no—
98C2×C11×C4⋊C4—24no—
99C2×C11×C4⋊C4C2312yes—
100C2×C11×C4⋊C4C2312yes—
101C2×C11×C22⋊C4—24no—
102C2×C11×C22⋊C4—24no—
103C2×C11×C22⋊C4C2312yes—
104C2×C11×C22⋊C4C2312yes—
105C2×C11×C22⋊C4C2312yes—
106C2×C11×C22⋊C4C2312yes—
107C2×C42×C11—24no—
108C2×C42×C11C2312yes—
109C2×C42×C11C2312yes—
110C2×C22⋊Dic11—28no—
111C2×C22⋊Dic11—28no—
112C2×C22⋊Dic11C2314yes—
113C2×C22⋊Dic11C2314yes—
114C2×C22⋊Dic11C2314yes—
115C2×C22⋊Dic11C2314yes—
116C2×C22⋊Dic11C2318yes—
117C2×C22⋊Dic11C2318yes—
118C2×C4⋊Dic11—24no—
119C2×C4⋊Dic11—44no—
120C2×C4⋊Dic11C2312yes—
121C2×C4⋊Dic11C2314yes—
122C2×C4⋊Dic11C2312yes—
123C2×C4⋊Dic11C2314yes—
124#66977—28no—
125#66977—28no—
126#66977—28no—
127#66977—28no—
128#66977—48no—
129C2×Dic11⋊C4—28no—
130C2×Dic11⋊C4C2314yes—
131C2×Dic11⋊C4C2314yes—
132C2×Dic11⋊C4C2318yes—
133C2×Dic11⋊C4C2318yes—
134C11⋊#95C2318yes—
135C11⋊#95C2318yes—
136C11⋊#95C2318yes—
137C11⋊#95C2314yes—
138C11⋊#95C2318yes—
139C11⋊#95C2314yes—
140#35010—111nomaximal, Sylow
141C24×C11—22no—
142C24×C11—22no—
143C24×C11—42no—
144C24×C11—42no—
145C24×C11—42no—
146C24×C11—42no—
147C24×C11C2×D414yes—
148C24×C11C2×Q814yes—
149C24×C11C2×Q814yescomplemented
150C24×C11#4114yes—
151C24×C11C2412yes—
152C24×C11C2411yescharacteristic
153C24×C11C2411yescharacteristic
154C24×C11C2411yescharacteristic
155C2×D4×C11—232no—
156C2×D4×C11—24no—
157C2×D4×C11—24no—
158C2×D4×C11—24no—
159C2×D4×C11—24no—
160C2×D4×C11C2×Q818yes—
161C2×D4×C11C2×Q818yescomplemented
162C22×C4×C11—22no—
163C22×C4×C11—22no—
164C22×C4×C11—24no—
165C22×C4×C11—24no—
166C22×C4×C11—24no—
167C22×C4×C11—22no—
168C22×C4×C11—22no—
169C22×C4×C11—24no—
170C22×C4×C11—24no—
171C22×C4×C11—28no—
172C22×C4×C11—416no—
173C22×C4×C11—42no—
174C22×C4×C11—42no—
175C22×C4×C11—42no—
176C22×C4×C11—44no—
177C22×C4×C11—42no—
178C22×C4×C11—42no—
179C22×C4×C11—416no—
180C22×C4×C11C2×D414yes—
181C22×C4×C11C2×D414yes—
182C22×C4×C11C2×D414yes—
183C22×C4×C11C2×D414yes—
184C22×C4×C11C2×D414yes—
185C22×C4×C11C2×D414yes—
186C22×C4×C11C2×Q814yescomplemented
187C22×C4×C11C2412yes—
188C22×C4×C11C2412yes—
189C22×C4×C11C2411yescharacteristic
190C22×C4×C11C2411yescharacteristic
191C22×C4×C11C2411yescharacteristic
192C22×C4×C11C2412yes—
193C22×C4×C11C2411yescharacteristic
194C22×Dic11—24no—
195C22×Dic11—24no—
196C22×Dic11—28no—
197C22×Dic11—44no—
198C22×Dic11—44no—
199C22×Dic11—44no—
200C22×Dic11—44no—
201C22×Dic11C2418yes—
202C22×Dic11C2414yes—
203C22×Dic11C2414yes—
204C2×Dic22—24no—
205C2×Dic22—24no—
206C2×Dic22—28no—
207C2×Dic22—44no—
208C2×Dic22—416no—
209C11×C4⋊C4—24no—
210C11×C4⋊C4—24no—
211C11×C22⋊C4—24no—
212C11×C22⋊C4—24no—
213C11×C22⋊C4—24no—
214C11×C22⋊C4—24no—
215C42×C11—24no—
216C42×C11—24no—
217C22⋊Dic11—28no—
218C22⋊Dic11—28no—
219C22⋊Dic11—28no—
220C22⋊Dic11—28no—
221C22⋊Dic11—48no—
222C22⋊Dic11—48no—
223C4⋊Dic11—24no—
224C4⋊Dic11—24no—
225C4⋊Dic11—28no—
226C4⋊Dic11—44no—
227Dic11⋊C4—28no—
228Dic11⋊C4—28no—
229Dic11⋊C4—48no—
230Dic11⋊C4—48no—
231C22×C22⋊Q8—111no—
232C22×C4×D4D1111yescharacteristic
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—28no—
252C23×C11—22no—
253C23×C11—22no—
254C23×C11—24no—
255C23×C11—24no—
256C23×C11—44no—
257C23×C11—44no—
258C23×C11—48no—
259C23×C11—48no—
260C23×C11—48no—
261C23×C11—44no—
262C23×C11—44no—
263C23×C11—48no—
264C23×C11C22⋊Q8116yescomplemented
265C23×C11C22×D412yes—
266C23×C11C22×D412yes—
267C23×C11C22×D412yes—
268C23×C11C22×Q814yes—
269C23×C11C22×Q812yes—
270C23×C11C22×Q812yes—
271C23×C11C22×Q812yes—
272C23×C11C2×#4112yes—
273C23×C11C2×#4112yes—
274C23×C11C2×#4112yes—
275C23×C11C2511yescharacteristic
276D4×C11—216no—
277D4×C11—216no—
278C2×C4×C11—28no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—28no—
285C2×C4×C11—28no—
286C2×C4×C11—28no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—24no—
290C2×C4×C11—24no—
291C2×C4×C11—44no—
292C2×C4×C11—44no—
293C2×C4×C11—44no—
294C2×C4×C11—48no—
295C2×C4×C11—44no—
296C2×C4×C11—44no—
297C2×C4×C11—48no—
298C2×C4×C11C22×D412yes—
299C2×C4×C11C22×D412yes—
300C2×C4×C11C22×D412yes—
301C2×C4×C11C22×D412yes—
302C2×C4×C11C22×Q814yes—
303C2×C4×C11H(5,𝔽2)14yes—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—28no—
307C2×Dic11—28no—
308C2×Dic11—28no—
309C2×Dic11—28no—
310C2×Dic11—28no—
311C2×Dic11—48no—
312C2×Dic11—48no—
313C2×Dic11—88no—
314Dic22—48no—
315Dic22—48no—
316C23×Q8—111no—
317C23×D4C2×D1111yescharacteristic
318C24×C4C2×D1111yescharacteristic
319C24×C4C2×D1111yescharacteristic
320C2×C22⋊Q8—112no—
321C2×C22⋊Q8—112no—
322C2×C22⋊Q8—112no—
323C2×C22⋊Q8—112no—
324C2×C22⋊Q8—114no—
325C2×C22⋊Q8—228no—
326C2×C4×D4—28no—
327C2×C4×D4C2×D1112yes—
328C2×C4×D4C2×D1112yes—
329C2×C4×D4C2×D1112yes—
330C2×C4×D4C2×D1112yes—
331C22×C4⋊C4—112no—
332C22×C4⋊C4—111no—
333C22×C4⋊C4—112no—
334C22×C4⋊C4C2×D1111yescharacteristic
335C22×C22⋊C4—112no—
336C22×C22⋊C4—112no—
337C22×C22⋊C4C2×D1111yescharacteristic
338C22×C22⋊C4C2×D1111yescharacteristic
339C22×C42C2×D1111yescharacteristic
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—118no—
350#386—114no—
351#386—114no—
352#385—118no—
353#385—114no—
354#385—114no—
355#385—114no—
356#385—114no—
357#381—114no—
358#380—112no—
359#380—112no—
360#380—114no—
361#380—112no—
362#380—112no—
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—24no—
379C22×C11—28no—
380C22×C11—416no—
381C22×C11—416no—
382C22×C11—42no—
383C22×C11—42no—
384C22×C11—44no—
385C22×C11C2×C22⋊Q814yes—
386C22×C11C2×C22⋊Q814yes—
387C22×C11C2×C22⋊Q814yes—
388C22×C11C23×D411yescharacteristic
389C22×C11C23×Q811yescharacteristic
390C22×C11C22×#4111yescharacteristic
391C22×C11C2×H(5,𝔽2)12yes—
392C22×C11#58512yes—
393C4×C11—24no—
394C4×C11—22no—
395C4×C11—22no—
396C4×C11—22no—
397C4×C11—42no—
398C4×C11—42no—
399C4×C11#53414yes—
400Dic11—44no—
401Dic11—44no—
402Dic11—48no—
403C25C22×D1111yescharacteristic
404C25C22×D1111yescharacteristic
405C22×Q8—112no—
406C22×Q8—112no—
407C22×Q8—224no—
408C22×Q8—444no—
409C22×D4—24no—
410C22×D4—24no—
411C22×D4Dic2218yescomplemented
412C22×D4C22×D1112yes—
413C22×D4C22×D1112yes—
414C23×C4—24no—
415C23×C4—44no—
416C23×C4—44no—
417C23×C4—112no—
418C23×C4—112no—
419C23×C4—114no—
420C23×C4C22⋊D1118yes—
421C23×C4C22×D1112yes—
422C23×C4C22×D1111yescharacteristic
423C23×C4C22×D1111yescharacteristic
424C23×C4C22×D1111yescharacteristic
425C23×C4C22×D1111yescharacteristic
426C23×C4C22×D1111yescharacteristic
427C23×C4C22×D1111yescharacteristic
428C23×C4C22×D1112yes—
429C23×C4C22×D1111yescharacteristic
430C23×C4C22×D1111yescharacteristic
431C23×C4C22×D1111yescharacteristic
432C22⋊Q8—228no—
433C22⋊Q8—228no—
434C22⋊Q8—228no—
435C22⋊Q8—228no—
436C22⋊Q8—448no—
437C4×D4—28no—
438C4×D4—28no—
439C4×D4—28no—
440C4×D4—28no—
441C2×C4⋊C4—24no—
442C2×C4⋊C4—112no—
443C2×C4⋊C4—114no—
444C2×C4⋊C4—114no—
445C2×C4⋊C4—112no—
446C2×C4⋊C4—114no—
447C2×C4⋊C4—114no—
448C2×C4⋊C4—118no—
449C2×C4⋊C4—118no—
450C2×C4⋊C4—228no—
451C2×C4⋊C4—224no—
452C2×C4⋊C4—444no—
453C2×C4⋊C4C22×D1112yes—
454C2×C4⋊C4C22×D1112yes—
455C2×C22⋊C4—24no—
456C2×C22⋊C4—24no—
457C2×C22⋊C4—114no—
458C2×C22⋊C4—114no—
459C2×C22⋊C4—114no—
460C2×C22⋊C4—114no—
461C2×C22⋊C4—118no—
462C2×C22⋊C4—118no—
463C2×C22⋊C4—228no—
464C2×C22⋊C4—228no—
465C2×C22⋊C4C22×D1112yes—
466C2×C22⋊C4C22×D1112yes—
467C2×C22⋊C4C22×D1112yes—
468C2×C22⋊C4C22×D1112yes—
469C2×C42—24no—
470C2×C42C22×D1112yes—
471C2×C42C22×D1112yes—
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×C11—44no—
482C2×C11C22×C22⋊Q811yescharacteristic
483C2×C11C2×#53411yescharacteristic
484C2×C11#344911yescharacteristic
485C2×C11#350112yes—
486C2×C11#350512yes—
487C24—22no—
488C24—22no—
489C24—42no—
490C24—42no—
491C24—42no—
492C24—42no—
493C24C2×Dic2214yes—
494C24C2×Dic2214yescomplemented
495C24#433914yes—
496C24C2×C22⋊D1114yes—
497C24C23×D1112yes—
498C24C23×D1111yescharacteristic
499C24C23×D1111yescharacteristic
500C24C23×D1111yescharacteristic
501C2×Q8—228no—
502C2×Q8—224no—
503C2×Q8—224no—
504C2×Q8—444no—
505C2×Q8—4416no—
506C2×D4—232no—
507C2×D4—24no—
508C2×D4—24no—
509C2×D4—24no—
510C2×D4—24no—
511C2×D4C2×Dic2218yes—
512C2×D4C2×Dic2218yescomplemented
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—28no—
521C22×C4—24no—
522C22×C4—24no—
523C22×C4—416no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—44no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—416no—
531C22×C4—118no—
532C22×C4—114no—
533C22×C4—114no—
534C22×C4—224no—
535C22×C4—224no—
536C22×C4—228no—
537C22×C4—444no—
538C22×C4—444no—
539C22×C4—444no—
540C22×C4—444no—
541C22×C4C2×Dic2214yescomplemented
542C22×C4C2×C22⋊D1114yes—
543C22×C4C2×C22⋊D1114yes—
544C22×C4C2×C22⋊D1114yes—
545C22×C4C2×C22⋊D1114yes—
546C22×C4C2×C22⋊D1114yes—
547C22×C4C2×C22⋊D1114yes—
548C22×C4C23×D1112yes—
549C22×C4C23×D1112yes—
550C22×C4C23×D1112yes—
551C22×C4C23×D1111yescharacteristic
552C22×C4C23×D1111yescharacteristic
553C22×C4C23×D1111yescharacteristic
554C22×C4C23×D1111yescharacteristic
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—228no—
558C4⋊C4—228no—
559C4⋊C4—228no—
560C4⋊C4—224no—
561C4⋊C4—224no—
562C4⋊C4—444no—
563C4⋊C4—448no—
564C4⋊C4—448no—
565C22⋊C4—24no—
566C22⋊C4—24no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—228no—
570C22⋊C4—228no—
571C22⋊C4—228no—
572C22⋊C4—228no—
573C22⋊C4—448no—
574C22⋊C4—448no—
575C42—24no—
576C42—24no—
577C11#3501011yescharacteristic, complemented, Sylow
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—28no—
585C23—22no—
586C23—24no—
587C23—24no—
588C23—22no—
589C23—44no—
590C23—48no—
591C23—48no—
592C23—48no—
593C23—44no—
594C23—44no—
595C23—48no—
596C23—44no—
597C23#66977116yescomplemented
598C23C22×Dic2214yes—
599C23C22×Dic2212yes—
600C23C22×Dic2212yes—
601C23C22×Dic2212yes—
602C23C2×#433912yes—
603C23C2×#433912yes—
604C23C2×#433912yes—
605C23C22×C22⋊D1112yes—
606C23C22×C22⋊D1112yes—
607C23C22×C22⋊D1112yes—
608C23C24×D1111yescharacteristic
609Q8—448no—
610Q8—448no—
611D4—216no—
612D4—216no—
613C2×C4—28no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—28no—
620C2×C4—28no—
621C2×C4—28no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—44no—
629C2×C4—48no—
630C2×C4—44no—
631C2×C4—44no—
632C2×C4—48no—
633C2×C4—228no—
634C2×C4—228no—
635C2×C4—228no—
636C2×C4—228no—
637C2×C4—228no—
638C2×C4—224no—
639C2×C4—224no—
640C2×C4—448no—
641C2×C4—448no—
642C2×C4—888no—
643C2×C4C22×Dic2214yes—
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—24no—
656C22—24no—
657C22—24no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—28no—
662C22—24no—
663C22—416no—
664C22—416no—
665C22—42no—
666C22—44no—
667C22—42no—
668C22C2×#6697714yes—
669C22C2×#6697714yes—
670C22C2×#6697714yes—
671C22C23×Dic2211yescharacteristic
672C22C22×#433911yescharacteristic
673C22C2×#6703712yes—
674C22#1062345312yes—
675C22C23×C22⋊D1111yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—24no—
680C4—42no—
681C4—42no—
682C4—444no—
683C4—448no—
684C4—444no—
685C4#1062333514yes—
686C2—24no—
687C2—24no—
688C2—24no—
689C2—44no—
690C2C22×#6697711yescharacteristic
691C2C2×#1062333511yescharacteristic
692C2#1308194511yescharacteristic
693C2#1308241912yes—
694C2#1308245512yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC22×C4×D4×C11C2
prime radicalC23×D4×C11C22
hypercenterC22×C4×D4D11
hypocenterC11#35010
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C22×#66977C2semidirect
2. #13076955C2semidirect
3. #13076903C2semidirect
4. #13074429C2semidirect
5. #13074421C2semidirect
6. #13073959C2semidirect
7. #13073792C2semidirect
8. #13072933C2semidirect
9. #13072067C2semidirect
10. #13071981C2semidirect
11. #13071228C2semidirect
13. C2×#10622825C2semidirect
18. C23×Dic22C22semidirect
30. C22×C4⋊Dic11C22semidirect
31. C22×C4⋊Dic11C22semidirect
35. C2×#66977C22semidirect
36. C2×#66977C22semidirect
37. C2×#66977C22semidirect
38. C22×Dic11⋊C4C22semidirect
45. #10622825C22semidirect
46. #10622825C22semidirect
47. #10622825C22semidirect
51. #10622823C22semidirect
52. C2×C11⋊#95C22semidirect
53. #10622599C22semidirect
54. #10622597C22semidirect
55. #10622592C22semidirect
56. #10622562C22semidirect
57. #10622561C22semidirect
58. #10622560C22semidirect
59. #10622559C22semidirect
60. #10622559C22semidirect
61. #10622555C22semidirect
62. #10622546C22semidirect
63. #10622542C22semidirect
64. #10622541C22semidirect
69. C22×D4×C11Q8semidirect
149. C24×C11C2×Q8semidirect
161. C2×D4×C11C2×Q8semidirect
186. C22×C4×C11C2×Q8semidirect
264. C23×C11C22⋊Q8semidirect
411. C22×D4Dic22semidirect
494. C24C2×Dic22semidirect
512. C2×D4C2×Dic22semidirect
541. C22×C4C2×Dic22semidirect
577. C11#35010semidirect
597. C23#66977semidirect

Maximal subgroups

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

subgroupindex
C22×#669772
#130769552
#130769032
#130744292
#130744212
#130739592
#130737922
#130729332
#130720672
#130719812
#130712282
#130711942
C2×#106228252
C22×C4×D4×C112
#3501011