Finite Group Databasebeta

← #14926671

Subgroups — #14926671

Order 2816.

2642 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623025C212yesmaximal, complemented
2#13076917C212yesmaximal, complemented
3#13076898C212yesmaximal, complemented
4#13074730C211yesmaximal, characteristic, complemented
5#13074718C211yesmaximal, characteristic, complemented
6#13074350C212yesmaximal, complemented
7#13073685C214yesmaximal, complemented
8#13073655C214yesmaximal, complemented
9#13073319C214yesmaximal, complemented
10#13072622C214yesmaximal, complemented
11#13071319C212yesmaximal, complemented
12C4×#66983C212yesmaximal, complemented
13C2×C4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
14C24×C4×C11C2211yescharacteristic
15C22×C11×C22⋊C4C2211yescharacteristic
16C22×C11×C22⋊C4C2211yescharacteristic
17C22×C42×C11C2211yescharacteristic
18C22×C42×C11C2211yescharacteristic
19C2×#67006C2214yes—
20C2×#66983C2212yes—
21C2×#66983C2212yes—
22C2×#66983C2212yes—
23C2×#66983C2212yes—
24C2×#66983C2212yes—
25C2×C4×C22⋊D11C2214yes—
26C2×#66977C2212yes—
27#10623025—216no—
28C2×#66938C2214yes—
29C2×#66937C2214yes—
30C2×#66936C2214yes—
31C2×#66932C2214yes—
32C2×#66928C2212yescomplemented
33C2×C4×D44C2212yescomplemented
34C4×C11×C22⋊C4C2214yes—
35C4×C11×C22⋊C4C2214yes—
36C2×C11×#95C2211yescharacteristic
37C2×C11×#95C2211yescharacteristic
38#10622826C2214yes—
39#10622826C2214yes—
40#10622826C2214yes—
41#10622826C2214yes—
42#10622825C2212yes—
43#10622825C2212yes—
44#10622825C2212yes—
45#10622825C2212yes—
46#10622574C2214yes—
47#10622574C2214yes—
48#10622573C2214yes—
49#10622566C2214yes—
50#10622553C2214yescomplemented
51#10622553C2214yescomplemented
52#10622553C2214yescomplemented
53#10622552C2212yescomplemented
54#10622552C2212yescomplemented
55C4×(C2×D11)⋊C4C2214yescomplemented
56#10622549C2212yescomplemented
57C4×C4⋊Dic11C2212yescomplemented
58#10622542C2212yescomplemented
59#10622541C2212yescomplemented
60#10622290C2214yescomplemented
61#10622284C2214yescomplemented
62#10622283C2214yescomplemented
63#10622281C2214yescomplemented
64#10622278C2214yescomplemented
65#10622274C2214yescomplemented
66#10622269C2214yescomplemented
67#10622266C2214yescomplemented
68C25×C11C2311yescharacteristic
69C23×C4×C11—24no—
70C23×C4×C11—42no—
71C23×C4×C11—42no—
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2312yes—
74C23×C4×C11C2312yes—
75C23×C4×C11C2311yescharacteristic
76C23×C4×C11C2311yescharacteristic
77C23×C4×C11C2311yescharacteristic
78C23×C4×C11C2311yescharacteristic
79C23×C4×C11C2311yescharacteristic
80C22×C22⋊D11C2314yes—
81C22×C22⋊D11C2314yes—
82C22×C22⋊D11C2314yes—
83C22×D44C2312yes—
84C22×D44C2312yes—
85C22×D44C2312yes—
86C22×C4×D11C2314yes—
87C22×Dic22C2312yes—
88C2×C11×C22⋊C4—24no—
89C2×C11×C22⋊C4D418yescomplemented
90C2×C11×C22⋊C4C2314yes—
91C2×C11×C22⋊C4C2314yes—
92C2×C42×C11—42no—
93C2×C42×C11—42no—
94C2×C42×C11C2312yes—
95C2×C42×C11C2312yes—
96C2×C42×C11C2312yes—
97C2×C42×C11C2312yes—
98#67006—216no—
99C2×C22⋊Dic11C2314yes—
100C2×C22⋊Dic11C2314yes—
101C2×C22⋊Dic11C2314yes—
102#66983—28no—
103#66983—28no—
104#66983—28no—
105#66983—44no—
106#66983—44no—
107C4×C22⋊D11—216no—
108C2×(C2×D11)⋊C4C2314yes—
109C2×(C2×D11)⋊C4C2314yes—
110C2×(C2×D11)⋊C4C2314yes—
111C2×(C2×D11)⋊C4C2314yes—
112C2×(C2×D11)⋊C4C2314yes—
113C2×(C2×D11)⋊C4C2314yes—
114C2×(C2×D11)⋊C4C2314yes—
115C2×(C2×D11)⋊C4C2314yes—
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2312yes—
118C2×C4⋊Dic11C2312yes—
119C2×C4⋊Dic11C2312yes—
120C2×C4⋊Dic11C2312yes—
121C2×C4⋊Dic11C2312yes—
122C2×C4⋊Dic11C2312yes—
123C2×C4⋊Dic11C2312yes—
124#66977—28no—
125C2×Dic11⋊C4C2314yes—
126C2×Dic11⋊C4C2314yes—
127C2×C4×Dic11C2314yes—
128#66938—216no—
129#66937—216no—
130#66936—216no—
131#66932—216no—
132#66928—44no—
133C4×D44—44no—
134C11×#95C2314yes—
135C11×#95C2314yes—
136C11⋊#95C2314yes—
137C11⋊#95C2314yes—
138C11⋊#95C2314yes—
139C11⋊#95C2314yes—
140C11⋊#95C2314yes—
141C11⋊#95C2314yes—
142#35003—111nomaximal, Sylow
143C24×C11—22no—
144C24×C11—22no—
145C24×C11—41no—
146C24×C11—41no—
147C24×C11—41no—
148C24×C11—41no—
149C24×C11C2×D414yes—
150C24×C11C2412yes—
151C24×C11C2411yescharacteristic
152C23×D11C2414yes—
153C22×C4×C11—22no—
154C22×C4×C11—22no—
155C22×C4×C11—22no—
156C22×C4×C11—22no—
157C22×C4×C11—24no—
158C22×C4×C11—24no—
159C22×C4×C11—24no—
160C22×C4×C11—24no—
161C22×C4×C11—41no—
162C22×C4×C11—41no—
163C22×C4×C11—41no—
164C22×C4×C11—41no—
165C22×C4×C11—41no—
166C22×C4×C11—41no—
167C22×C4×C11—42no—
168C22×C4×C11—42no—
169C22×C4×C11—41no—
170C22×C4×C11—41no—
171C22×C4×C11—41no—
172C22×C4×C11—41no—
173C22×C4×C11—416no—
174C22×C4×C11C2×D414yes—
175C22×C4×C11C2×D414yes—
176C22×C4×C11#4114yes—
177C22×C4×C11#4114yes—
178C22×C4×C11C2412yes—
179C22×C4×C11C2412yes—
180C22×C4×C11C2412yes—
181C22×C4×C11C2412yes—
182C22×C4×C11C2412yes—
183C22×C4×C11C2411yescharacteristic
184C22×C4×C11C2411yescharacteristic
185C2×C22⋊D11—28no—
186C2×C22⋊D11—28no—
187C2×C22⋊D11—28no—
188C2×C22⋊D11—28no—
189C2×C22⋊D11—28no—
190C2×C22⋊D11—44no—
191C2×C22⋊D11—44no—
192C2×C22⋊D11—44no—
193C2×C22⋊D11—44no—
194C22×Dic11C2414yes—
195C22×Dic11C2414yes—
196C22×Dic11C2414yes—
197C2×D44—24no—
198C2×D44—24no—
199C2×D44—24no—
200C2×D44—42no—
201C2×D44—42no—
202C2×D44—42no—
203C2×D44—42no—
204C2×D44—42no—
205C2×D44—42no—
206C2×C4×D11—28no—
207C2×C4×D11—44no—
208C2×C4×D11—44no—
209C2×Dic22—24no—
210C2×Dic22—42no—
211C2×Dic22—42no—
212C11×C22⋊C4—28no—
213C11×C22⋊C4C2×D4116yes—
214C42×C11—24no—
215C42×C11—24no—
216C42×C11—42no—
217C42×C11—42no—
218C22⋊Dic11—28no—
219C22⋊Dic11—28no—
220C22⋊Dic11—28no—
221(C2×D11)⋊C4—28no—
222(C2×D11)⋊C4—28no—
223(C2×D11)⋊C4—28no—
224(C2×D11)⋊C4—28no—
225(C2×D11)⋊C4—28no—
226(C2×D11)⋊C4—28no—
227(C2×D11)⋊C4—44no—
228(C2×D11)⋊C4—44no—
229C4⋊Dic11—24no—
230C4⋊Dic11—24no—
231C4⋊Dic11—24no—
232C4⋊Dic11—24no—
233C4⋊Dic11—42no—
234C4⋊Dic11—42no—
235C4⋊Dic11—42no—
236C4⋊Dic11—42no—
237Dic11⋊C4—28no—
238Dic11⋊C4—28no—
239C4×Dic11—28no—
240C2×#538—112no—
241#2850—112no—
242#2847—112no—
243#2659—111no—
244#2656—111no—
245#2617—112no—
246#2555—114no—
247#2553—114no—
248#2521—114no—
249#2464—114no—
250#2325—112no—
251C4×#121—112no—
252C2×C4×C22⋊C4D1111yescharacteristic, complemented
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11—21no—
257C23×C11—28no—
258C23×C11—22no—
259C23×C11—22no—
260C23×C11—22no—
261C23×C11—22no—
262C23×C11—22no—
263C23×C11—22no—
264C23×C11—44no—
265C23×C11—44no—
266C23×C11—44no—
267C23×C11—44no—
268C23×C11—44no—
269C23×C11—44no—
270C23×C11C22×D414yes—
271C23×C11C22×D412yes—
272C23×C11C2×#4112yes—
273C23×C11C2×#4112yes—
274C23×C11C2511yescharacteristic
275C22×D11—24no—
276C22×D11—24no—
277C22×D11—24no—
278C22×D11—24no—
279C22×D11—24no—
280C22×D11—24no—
281C22×D11—24no—
282C2×C4×C11—28no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—21no—
291C2×C4×C11—21no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—22no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—44no—
299C2×C4×C11—44no—
300C2×C4×C11—44no—
301C2×C4×C11—44no—
302C2×C4×C11—48no—
303C2×C4×C11—48no—
304C2×C4×C11—44no—
305C2×C4×C11C22×D414yes—
306C2×C4×C11C22×D414yes—
307C2×C4×C11C2×#4114yes—
308C2×C4×C11C2×#4114yes—
309C2×C4×C11H(5,𝔽2)12yes—
310C2×C4×C11H(5,𝔽2)12yes—
311C22⋊D11—416no—
312C22⋊D11—88no—
313C22⋊D11—88no—
314C2×Dic11—24no—
315C2×Dic11—24no—
316C2×Dic11—24no—
317C2×Dic11—24no—
318C2×Dic11—24no—
319C2×Dic11—24no—
320C2×Dic11—24no—
321C2×Dic11—24no—
322C2×Dic11—24no—
323D44—48no—
324D44—84no—
325D44—84no—
326C4×D11—88no—
327Dic22—84no—
328C24×C4C2×D1111yescharacteristic
329#538—2216no—
330C2×#126—114no—
331C2×#124—114no—
332C2×#124—112no—
333C2×#123—114no—
334C2×C22⋊Q8—112no—
335C2×#121—112no—
336C2×#121—112no—
337C2×#121—112no—
338C2×#121—112no—
339C2×#121—112no—
340C2×#121—114no—
341C2×#120—114no—
342C2×C4×D4—114no—
343C2×C4×D4—112no—
344C22×C22⋊C4C2×D1111yescharacteristic
345C22×C22⋊C4C2×D1111yescharacteristic
346C22×C42C2×D1111yescharacteristic
347C22×C42C2×D1111yescharacteristic
348#399—114no—
349#398—114no—
350#397—114no—
351#395—114no—
352#394—114no—
353#394—114no—
354#392—114no—
355#392—114no—
356#391—112no—
357#390—112no—
358#390—112no—
359#389—112no—
360#388—114no—
361#388—114no—
362#388—114no—
363#388—114no—
364#387—114no—
365#386—114no—
366#386—114no—
367#386—114no—
368#386—114no—
369#386—114no—
370#385—114no—
371#382—112no—
372#380—112no—
373#380—112no—
374#380—112no—
375#380—112no—
376C4×C4⋊C4—112no—
377C4×C22⋊C4—114no—
378C4×C22⋊C4C2×D1114yes—
379C4×C22⋊C4C2×D1114yes—
380C2×#95C2×D1111yescharacteristic
381C2×#95C2×D1111yescharacteristic
382C22×C11—22no—
383C22×C11—22no—
384C22×C11—22no—
385C22×C11—22no—
386C22×C11—22no—
387C22×C11—22no—
388C22×C11—24no—
389C22×C11—24no—
390C22×C11—24no—
391C22×C11—416no—
392C22×C11—42no—
393C22×C11—42no—
394C22×C11—42no—
395C22×C11—42no—
396C22×C11#53214yes—
397C22×C11C23×D411yescharacteristic
398C22×C11C22×#4111yescharacteristic
399C22×C11C22×#4111yescharacteristic
400C22×C11C2×H(5,𝔽2)11yescharacteristic
401C22×C11C2×H(5,𝔽2)11yescharacteristic
402C22×C11#58511yescharacteristic
403C22×C11#58511yescharacteristic
404C2×D11—44no—
405C2×D11—44no—
406C2×D11—44no—
407C2×D11—44no—
408C2×D11—44no—
409C2×D11—44no—
410C2×D11—44no—
411C4×C11—24no—
412C4×C11—22no—
413C4×C11—22no—
414C4×C11—24no—
415C4×C11—24no—
416C4×C11—24no—
417C4×C11—42no—
418Dic11—44no—
419Dic11—44no—
420Dic11—44no—
421C25C22×D1111yescharacteristic
422C22×Q8—112no—
423C22×D4—114no—
424C22×D4—114no—
425C22×D4—114no—
426C22×D4—112no—
427C22×D4—112no—
428C22×D4—112no—
429C23×C4—24no—
430C23×C4—42no—
431C23×C4—42no—
432C23×C4—114no—
433C23×C4C22×D1111yescharacteristic
434C23×C4C22×D1112yes—
435C23×C4C22×D1112yes—
436C23×C4C22×D1111yescharacteristic
437C23×C4C22×D1111yescharacteristic
438C23×C4C22×D1111yescharacteristic
439C23×C4C22×D1111yescharacteristic
440C23×C4C22×D1111yescharacteristic
441#126—2216no—
442#124—2216no—
443#124—444no—
444#123—2216no—
445C22⋊Q8—228no—
446#121—228no—
447#121—228no—
448#121—228no—
449#121—2216no—
450#121—444no—
451#121—444no—
452#120—2216no—
453C4×D4—2216no—
454C4×D4—444no—
455C2×C4⋊C4—114no—
456C2×C4⋊C4—114no—
457C2×C4⋊C4—112no—
458C2×C4⋊C4—112no—
459C2×C4⋊C4—112no—
460C2×C4⋊C4—112no—
461C2×C4⋊C4—112no—
462C2×C4⋊C4—112no—
463C2×C4⋊C4—112no—
464C2×C4⋊C4—112no—
465C2×C22⋊C4—24no—
466C2×C22⋊C4—114no—
467C2×C22⋊C4—114no—
468C2×C22⋊C4—114no—
469C2×C22⋊C4—114no—
470C2×C22⋊C4—114no—
471C2×C22⋊C4—114no—
472C2×C22⋊C4—114no—
473C2×C22⋊C4—114no—
474C2×C22⋊C4—114no—
475C2×C22⋊C4—114no—
476C2×C22⋊C4—114no—
477C2×C22⋊C4D4418yescomplemented
478C2×C22⋊C4C22×D1114yes—
479C2×C22⋊C4C22×D1114yes—
480C2×C42—42no—
481C2×C42—42no—
482C2×C42—114no—
483C2×C42C22×D1112yes—
484C2×C42C22×D1112yes—
485C2×C42C22×D1112yes—
486C2×C42C22×D1112yes—
487#95—114no—
488#95—114no—
489#95—114no—
490#95—114no—
491#95—114no—
492#95—114no—
493#95C22×D1114yes—
494#95C22×D1114yes—
495C2×C11—24no—
496C2×C11—44no—
497C2×C11C2×#53211yescharacteristic
498C2×C11#345911yescharacteristic
499C2×C11#346011yescharacteristic
500C2×C11#349011yescharacteristic
501C2×C11#349311yescharacteristic
502C2×C11#349611yescharacteristic
503C2×C11#349611yescharacteristic
504D11—84no—
505C24—22no—
506C24—22no—
507C24—41no—
508C24—41no—
509C24—41no—
510C24—41no—
511C24—114no—
512C24C2×D4414yes—
513C24C23×D1112yes—
514C24C23×D1111yescharacteristic
515C2×Q8—224no—
516C2×Q8—442no—
517C2×Q8—442no—
518C2×D4—228no—
519C2×D4—228no—
520C2×D4—228no—
521C2×D4—228no—
522C2×D4—228no—
523C2×D4—224no—
524C2×D4—224no—
525C2×D4—224no—
526C2×D4—442no—
527C2×D4—442no—
528C2×D4—442no—
529C2×D4—442no—
530C2×D4—442no—
531C2×D4—442no—
532C2×D4—444no—
533C2×D4—444no—
534C2×D4—444no—
535C2×D4—444no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—24no—
541C22×C4—24no—
542C22×C4—24no—
543C22×C4—24no—
544C22×C4—41no—
545C22×C4—41no—
546C22×C4—41no—
547C22×C4—41no—
548C22×C4—42no—
549C22×C4—42no—
550C22×C4—41no—
551C22×C4—41no—
552C22×C4—41no—
553C22×C4—41no—
554C22×C4—41no—
555C22×C4—41no—
556C22×C4—416no—
557C22×C4—114no—
558C22×C4—114no—
559C22×C4—114no—
560C22×C4—228no—
561C22×C4—444no—
562C22×C4—444no—
563C22×C4C2×D4414yes—
564C22×C4C2×D4414yes—
565C22×C4#433914yes—
566C22×C4#433914yes—
567C22×C4C23×D1112yes—
568C22×C4C23×D1112yes—
569C22×C4C23×D1112yes—
570C22×C4C23×D1112yes—
571C22×C4C23×D1112yes—
572C22×C4C23×D1111yescharacteristic
573C22×C4C23×D1111yescharacteristic
574C4⋊C4—228no—
575C4⋊C4—228no—
576C4⋊C4—224no—
577C4⋊C4—224no—
578C4⋊C4—224no—
579C4⋊C4—224no—
580C4⋊C4—442no—
581C4⋊C4—442no—
582C4⋊C4—442no—
583C4⋊C4—442no—
584C22⋊C4—28no—
585C22⋊C4—228no—
586C22⋊C4—228no—
587C22⋊C4—228no—
588C22⋊C4—228no—
589C22⋊C4—228no—
590C22⋊C4—228no—
591C22⋊C4—228no—
592C22⋊C4—228no—
593C22⋊C4—228no—
594C22⋊C4—444no—
595C22⋊C4—444no—
596C22⋊C4C2×D44116yes—
597C42—24no—
598C42—24no—
599C42—42no—
600C42—42no—
601C42—228no—
602C11#3500311yescharacteristic, complemented, Sylow
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—28no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—224no—
621C23—224no—
622C23—224no—
623C23—224no—
624C23—224no—
625C23—224no—
626C23—224no—
627C23C22×D4414yes—
628C23C22×D4412yes—
629C23C2×#433912yes—
630C23C2×#433912yes—
631C23C24×D1111yescharacteristic
632Q8—884no—
633D4—448no—
634D4—4416no—
635D4—884no—
636D4—884no—
637D4—888no—
638D4—888no—
639C2×C4—28no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—44no—
659C2×C4—48no—
660C2×C4—48no—
661C2×C4—44no—
662C2×C4—224no—
663C2×C4—224no—
664C2×C4—224no—
665C2×C4—224no—
666C2×C4—224no—
667C2×C4—224no—
668C2×C4—224no—
669C2×C4—224no—
670C2×C4—224no—
671C2×C4—888no—
672C2×C4C22×D4414yes—
673C2×C4C22×D4414yes—
674C2×C4C2×#433914yes—
675C2×C4C2×#433914yes—
676C2×C4#6703712yes—
677C2×C4#6703712yes—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—22no—
684C22—24no—
685C22—24no—
686C22—24no—
687C22—416no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—444no—
693C22—444no—
694C22—444no—
695C22—444no—
696C22—444no—
697C22—444no—
698C22—444no—
699C22#1062300814yes—
700C22C23×D4411yescharacteristic
701C22C22×#433911yescharacteristic
702C22C22×#433911yescharacteristic
703C22C2×#6703711yescharacteristic
704C22C2×#6703711yescharacteristic
705C22#1062345311yescharacteristic
706C22#1062345311yescharacteristic
707C4—24no—
708C4—24no—
709C4—24no—
710C4—22no—
711C4—22no—
712C4—24no—
713C4—42no—
714C4—444no—
715C4—444no—
716C4—444no—
717C2—24no—
718C2—44no—
719C2—884no—
720C2C2×#1062300811yescharacteristic
721C2#1308202511yescharacteristic
722C2#1308203811yescharacteristic
723C2#1308230511yescharacteristic
724C2#1308233611yescharacteristic
725C2#1308238011yescharacteristic
726C2#1308238011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC2×C4×C11×C22⋊C4C2
hypercenterC2×C4×C22⋊C4D11
hypocenterC11#35003
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#10623025C2semidirect
2. #13076917C2semidirect
3. #13076898C2semidirect
4. #13074730C2semidirect
5. #13074718C2semidirect
6. #13074350C2semidirect
7. #13073685C2semidirect
8. #13073655C2semidirect
9. #13073319C2semidirect
10. #13072622C2semidirect
11. #13071319C2semidirect
12. C4×#66983C2semidirect
13. C2×C4×C11×C22⋊C4C2semidirect
32. C2×#66928C22semidirect
33. C2×C4×D44C22semidirect
50. #10622553C22semidirect
51. #10622553C22semidirect
52. #10622553C22semidirect
53. #10622552C22semidirect
54. #10622552C22semidirect
55. C4×(C2×D11)⋊C4C22semidirect
56. #10622549C22semidirect
57. C4×C4⋊Dic11C22semidirect
58. #10622542C22semidirect
59. #10622541C22semidirect
60. #10622290C22semidirect
61. #10622284C22semidirect
62. #10622283C22semidirect
63. #10622281C22semidirect
64. #10622278C22semidirect
65. #10622274C22semidirect
66. #10622269C22semidirect
67. #10622266C22semidirect
89. C2×C11×C22⋊C4D4semidirect
252. C2×C4×C22⋊C4D11semidirect
477. C2×C22⋊C4D44semidirect
602. C11#35003semidirect

Maximal subgroups

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

subgroupindex
C2×#106230252
#130769172
#130768982
#130747302
#130747182
#130743502
#130736852
#130736552
#130733192
#130726222
#130713192
C4×#669832
C2×C4×C11×C22⋊C42
#3500311