Finite Group Databasebeta

← #15660636

Subgroups — #15660636

Order 2816.

7226 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082049C214yesmaximal, complemented
2#13082043C218yesmaximal, complemented
3#13082038C214yesmaximal, complemented
4#13082032C218yesmaximal, complemented
5#13082025C218yesmaximal, complemented
6#13082021C211yesmaximal, characteristic, complemented
7#13082006C214yesmaximal, complemented
8#13082001C218yesmaximal, complemented
9#13081949C211yesmaximal, characteristic, complemented
10#13081945C212yesmaximal, complemented
11#13081912C214yesmaximal, complemented
12#13081909C218yesmaximal, complemented
13C2×C4×#4339C212yesmaximal, complemented
14C2×C4×C11×#41C211yesmaximal, characteristic, complemented
15C22×C11×#41C2211yescharacteristic
16C22×#4339C2212yes—
17C4×C11×#41C2214yescomplemented
18C4×C11×#41C2214yescomplemented
19C4×C11×#41C2218yescomplemented
20C2×C4×Q8×C11C2212yescomplemented
21C2×C4×D4×C11C2214yes—
22C2×C4×D4×C11C2212yescomplemented
23C2×C11×#117C2211yescharacteristic
24C2×C11×#117C2212yescomplemented
25C22×C42×C11C2211yescharacteristic
26C22×C42×C11C2212yescomplemented
27#10623364C2218yes—
28#10623363C2218yes—
29#10623361C2214yescomplemented
30#10623359C2218yescomplemented
31#10623356C2214yescomplemented
32#10623347C2214yescomplemented
33#10623336C2214yescomplemented
34#10623335C2218yes—
35#10623322C2218yescomplemented
36#10623322C22116yescomplemented
37C2×C4×C22⋊D11C2218yes—
38C2×#66979C2212yes—
39#10623114C22116yescomplemented
40#10623113C22116yescomplemented
41#10623111C22116yescomplemented
42#10623109C22116yescomplemented
43#10623095C22132yescomplemented
44#10623093C22116yescomplemented
45#10623092C22116yescomplemented
46#10623091C22132yescomplemented
47#10623088C22116yescomplemented
48#10623079C22116yescomplemented
49#10623078C22132yescomplemented
50#10623069C22132yescomplemented
51#10623066C2218yescomplemented
52#10623065C22116yescomplemented
53#10623059C22132yescomplemented
54#10623057C2214yescomplemented
55#10623056C2214yescomplemented
56#10623055C2218yescomplemented
57#10623050C2218yescomplemented
58#10623049C2218yescomplemented
59#10623048C2218yescomplemented
60#10623046C22116yescomplemented
61#10623041C2214yes—
62#10623031C2214yescomplemented
63#10623025C22116yescomplemented
64#10623024C2214yes—
65#10623014C2214yes—
66#10623010C22116yescomplemented
67#10623010C22116yescomplemented
68#10623010C22116yescomplemented
69#10623008C2214yes—
70#10623008C2218yescomplemented
71C4×#4339C22116yescomplemented
72C4×#4339C2214yescomplemented
73C4×#4339C2214yescomplemented
74C4×#4339C2214yescomplemented
75C4×#4339C2214yescomplemented
76C4×#4339C2218yescomplemented
77C4×#4339C2218yescomplemented
78C2×C4×D44C2214yescomplemented
79C2×#66925C2214yescomplemented
80C2×C42×D11C2214yescomplemented
81#10623001C2214yescomplemented
82#10623001C2218yescomplemented
83C2×C4×Dic22C2214yescomplemented
84C2×C11×#41—28no—
85C2×C11×#41C2314yes—
86C2×C11×#41C2314yes—
87C22×Q8×C11C2311yescharacteristic
88C22×D4×C11C2312yes—
89C22×D4×C11C2311yescharacteristic
90C23×C4×C11C2312yes—
91C23×C4×C11C2312yes—
92C23×C4×C11C2314yes—
93C23×C4×C11C2311yescharacteristic
94C22×C22⋊D11C2314yes—
95C2×#4339—216no—
96C2×#4339C2314yes—
97C2×#4339C2314yes—
98C2×#4339C2314yes—
99C2×#4339C2314yes—
100C2×#4339C23116yes—
101C22×D44C2312yes—
102C22×C4×D11C2314yes—
103C22×C4×D11C2318yes—
104C22×Dic22C2312yes—
105C4×Q8×C11C2318yes—
106C4×Q8×C11C2318yes—
107C4×D4×C11C23116yes—
108C4×D4×C11C2318yes—
109C4×D4×C11C23116yes—
110C4×D4×C11C2318yes—
111C11×#117C2314yes—
112C11×#117C2318yes—
113C11×#117C2314yes—
114C11×#117C2318yes—
115C2×C11×C4⋊C4C2312yes—
116C2×C11×C4⋊C4C2314yes—
117C2×C11×C22⋊C4C2312yes—
118C2×C11×C22⋊C4C2314yes—
119C2×C42×C11C2314yes—
120C2×C42×C11C2312yes—
121C2×C42×C11C2318yes—
122C2×C42×C11C2312yes—
123C2×C42×C11C2312yes—
124C2×C42×C11C2311yescharacteristic
125C2×C42×C11C2311yescharacteristic
126C2×C42×C11C2312yes—
127C2×C42×C11C2314yes—
128C2×C42×C11C2314yes—
129C2×C42×C11C2314yes—
130#67006C23116yes—
131C2×C22⋊Dic11C2314yes—
132#67000C2318yes—
133#66999C23116yes—
134#66997C2318yes—
135#66993C2318yes—
136#66992C23132yes—
137#66991C23116yes—
138#66990C23116yes—
139#66989C2318yes—
140#66988C23116yes—
141#66983C23116yes—
142#66983C23116yes—
143#66983C23116yes—
144#66982C23116yes—
145#66982C23132yes—
146C4×C22⋊D11C23116yes—
147C4×C22⋊D11C23116yes—
148C4×C22⋊D11C23116yes—
149C4×C22⋊D11C23116yes—
150C4×C22⋊D11C23132yes—
151C4×C22⋊D11C23132yes—
152C2×(C2×D11)⋊C4C2318yes—
153#66979C2314yes—
154#66979C23116yes—
155#66979C2314yes—
156#66979C2314yes—
157#66979C2314yes—
158C2×C4⋊Dic11C2314yes—
159#66977C23116yes—
160#66977C23116yes—
161#66977C23116yes—
162C2×Dic11⋊C4C2318yes—
163C2×C4×Dic11C2318yes—
164C2×C4×Dic11C2314yes—
165#66951C23132yes—
166#66950C23116yes—
167#66949C23132yes—
168#66948C23116yes—
169#66947C23132yes—
170#66943C23116yes—
171#66942C23132yes—
172#66941C23116yes—
173#66939C23116yes—
174#66938C23132yes—
175#66937C23132yes—
176#66936C23132yes—
177#66935C23116yes—
178#66932C23132yes—
179#66931C23132yes—
180#66929C23132yes—
181#66928C2318yes—
182#66928C23116yes—
183#66927C2314yes—
184C4×D44C2318yes—
185C4×D44C2318yes—
186C4×D44C2318yes—
187C4×D44C2318yes—
188C4×D44C23116yes—
189C4×D44C23116yes—
190#66925C2318yes—
191#66925C2318yes—
192#66925C23116yes—
193#66925C23132yes—
194C42×D11C2318yes—
195C42×D11C2318yes—
196C42×D11C23116yes—
197#66923C2318yes—
198#66923C23116yes—
199#66922C2314yes—
200#66922C2318yes—
201C4×Dic22C2318yes—
202C4×Dic22C2318yes—
203C4×Dic22C2318yes—
204C4×Dic22C2318yes—
205C4×Dic22C23116yes—
206C4×Dic22C23116yes—
207#62686—111nomaximal, Sylow
208C24×C11C2412yes—
209C24×C11C2411yescharacteristic
210C23×D11C2414yes—
211C11×#41—216no—
212C11×#41—216no—
213C2×Q8×C11—24no—
214C2×Q8×C11C2414yes—
215C2×D4×C11—28no—
216C2×D4×C11—24no—
217C2×D4×C11C2418yes—
218C2×D4×C11C2414yes—
219C22×C4×C11—28no—
220C22×C4×C11—44no—
221C22×C4×C11—48no—
222C22×C4×C11#4118yescomplemented
223C22×C4×C11C2414yes—
224C22×C4×C11C2414yes—
225C22×C4×C11C2418yes—
226C22×C4×C11C2412yes—
227C22×C4×C11C2414yes—
228C22×C4×C11C2412yes—
229C22×C4×C11C2414yes—
230C22×C4×C11C2414yes—
231C22×C4×C11C2418yes—
232C22×C4×C11C2412yes—
233C22×C4×C11C2412yes—
234C22×C4×C11C2412yes—
235C22×C4×C11C2411yescharacteristic
236C22×C4×C11C2411yescharacteristic
237C2×C22⋊D11—216no—
238C2×C22⋊D11C2418yes—
239C2×C22⋊D11C2418yes—
240C2×C22⋊D11C24132yes—
241C22×Dic11C2414yes—
242C22×Dic11C2418yes—
243#4339—216no—
244#4339—216no—
245#4339—216no—
246#4339—216no—
247#4339—432no—
248C2×D44—28no—
249C2×D44C2414yes—
250C2×D44C2414yes—
251C2×D44C24116yes—
252C2×C4×D11—216no—
253C2×C4×D11—416no—
254C2×C4×D11C2418yes—
255C2×C4×D11C24116yes—
256C2×C4×D11C2418yes—
257C2×C4×D11C24116yes—
258C2×Dic22—28no—
259C2×Dic22C2414yes—
260C2×Dic22C2414yes—
261C2×Dic22C24116yes—
262C11×C4⋊C4C2418yes—
263C11×C4⋊C4C24116yes—
264C11×C22⋊C4C2418yes—
265C11×C22⋊C4C24116yes—
266C42×C11C2412yes—
267C42×C11C2412yes—
268C42×C11C2414yes—
269C42×C11C2414yes—
270C42×C11C2414yes—
271C42×C11C2418yes—
272C42×C11C2414yes—
273C42×C11C2418yes—
274C42×C11C2412yes—
275C42×C11C2411yescharacteristic
276C42×C11C2411yescharacteristic
277C22⋊Dic11C2418yes—
278C22⋊Dic11C24132yes—
279C22⋊Dic11C2418yes—
280(C2×D11)⋊C4C24116yes—
281(C2×D11)⋊C4C24116yes—
282(C2×D11)⋊C4C24132yes—
283(C2×D11)⋊C4C24132yes—
284C4⋊Dic11C2418yes—
285C4⋊Dic11C2418yes—
286C4⋊Dic11C24116yes—
287C4⋊Dic11C24116yes—
288Dic11⋊C4C24116yes—
289Dic11⋊C4C24116yes—
290Dic11⋊C4C24132yes—
291Dic11⋊C4C24132yes—
292C4×Dic11C2418yes—
293C4×Dic11C24116yes—
294C4×Dic11C24116yes—
295C4×Dic11C2418yes—
296#3461—118no—
297#3461—114no—
298#3460—118no—
299#3460—114no—
300#3459—118no—
301#3458—111no—
302#3455—118no—
303#3455—114no—
304#3449—112no—
305#3449—111no—
306#3444—114no—
307#3444—118no—
308C2×C4×#41—112no—
309C2×C4×#41D1111yescharacteristic, complemented
310C23×C11—24no—
311C23×C11—42no—
312C23×C11—44no—
313C23×C11C2×#4114yes—
314C23×C11C2514yes—
315C23×C11C2511yescharacteristic
316C23×C11C2512yes—
317C22×D11—28no—
318C22×D11—48no—
319C22×D11C2518yes—
320Q8×C11—28no—
321D4×C11—216no—
322D4×C11—28no—
323C2×C4×C11—24no—
324C2×C4×C11—28no—
325C2×C4×C11—28no—
326C2×C4×C11—28no—
327C2×C4×C11—216no—
328C2×C4×C11—24no—
329C2×C4×C11—48no—
330C2×C4×C11—44no—
331C2×C4×C11—44no—
332C2×C4×C11—42no—
333C2×C4×C11C2×#4118yes—
334C2×C4×C11C2×#4118yes—
335C2×C4×C11C2×#4114yes—
336C2×C4×C11C2×#4114yes—
337C2×C4×C11C2514yes—
338C2×C4×C11C2512yes—
339C2×C4×C11C2514yes—
340C2×C4×C11C2518yes—
341C2×C4×C11C2511yescharacteristic
342C2×C4×C11C2512yes—
343C2×C4×C11C2511yescharacteristic
344C2×C4×C11C2512yes—
345C22⋊D11—216no—
346C22⋊D11—216no—
347C22⋊D11—432no—
348C2×Dic11—28no—
349C2×Dic11—48no—
350C2×Dic11C2518yes—
351C2×Dic11C25116yes—
352D44—28no—
353D44—28no—
354D44—416no—
355C4×D11—216no—
356C4×D11—216no—
357C4×D11—232no—
358C4×D11—416no—
359Dic22—28no—
360Dic22—28no—
361Dic22—416no—
362C22×#41—112no—
363C22×#41C2×D1111yescharacteristic
364#544—118no—
365#544—114no—
366#543—114no—
367#542—1116no—
368#542—1116no—
369#542—1116no—
370#541—1116no—
371#541—118no—
372#540—1116no—
373#540—118no—
374#539—1132no—
375#539—1116no—
376#538—1132no—
377#538—1116no—
378#537—118no—
379#537—114no—
380#536—114no—
381#536—114no—
382#536—114no—
383#535—114no—
384#535—114no—
385#535—114no—
386#534—118no—
387#534—114no—
388#533—1116no—
389#533—118no—
390#533—114no—
391#533—118no—
392#532—118no—
393#532—1116no—
394#532—114no—
395#532—118no—
396#529—1116no—
397#529—1132no—
398#529—1116no—
399#529—1132no—
400#529—1116no—
401#529—1116no—
402#529—1116no—
403#525—118no—
404#525—118no—
405#525—1116no—
406#525—1132no—
407#525—118no—
408C4×#41—114no—
409C4×#41—114no—
410C4×#41—114no—
411C4×#41—114no—
412C4×#41—118no—
413C4×#41—118no—
414C4×#41—1116no—
415C4×#41C2×D1114yescomplemented
416C4×#41C2×D1114yescomplemented
417C4×#41C2×D1118yescomplemented
418C2×C4×Q8—114no—
419C2×C4×Q8C2×D1112yescomplemented
420C2×C4×D4—118no—
421C2×C4×D4—114no—
422C2×C4×D4C2×D1114yes—
423C2×C4×D4C2×D1112yescomplemented
424C2×#117—112no—
425C2×#117—114no—
426C2×#117C2×D1111yescharacteristic
427C2×#117C2×D1112yescomplemented
428C22×C42—114no—
429C22×C42C2×D1111yescharacteristic
430C22×C42C2×D1112yescomplemented
431C22×C11—22no—
432C22×C11—24no—
433C22×C11—24no—
434C22×C11—28no—
435C22×C11—44no—
436C22×C11—48no—
437C22×C11C22×#4112yes—
438C22×C11C22×#4114yes—
439C22×C11C2611yescharacteristic
440C2×D11—28no—
441C2×D11—216no—
442C2×D11—416no—
443C4×C11—24no—
444C4×C11—22no—
445C4×C11—28no—
446C4×C11—24no—
447C4×C11C22×#4112yes—
448C4×C11C22×#4112yes—
449C4×C11C22×#4114yes—
450C4×C11#58514yes—
451Dic11—28no—
452Dic11—216no—
453C2×#41—28no—
454C2×#41—114no—
455C2×#41—114no—
456C2×#41—114no—
457C2×#41—114no—
458C2×#41—1116no—
459C2×#41—2216no—
460C2×#41C22×D1114yes—
461C2×#41C22×D1114yes—
462C22×Q8—112no—
463C22×Q8C22×D1111yescharacteristic
464C22×D4—114no—
465C22×D4—112no—
466C22×D4C22×D1112yes—
467C22×D4C22×D1111yescharacteristic
468C23×C4—114no—
469C23×C4—118no—
470C23×C4C22×D1112yes—
471C23×C4C22×D1112yes—
472C23×C4C22×D1114yes—
473C23×C4C22×D1111yescharacteristic
474C4⋊Q8—118no—
475C4⋊Q8—1116no—
476C4⋊Q8—114no—
477C4⋊Q8—118no—
478#127—118no—
479#127—114no—
480#126—1132no—
481#126—1132no—
482#126—1132no—
483#125—1132no—
484#125—1116no—
485#125—1116no—
486#125—118no—
487#124—118no—
488#124—118no—
489#124—1132no—
490#124—118no—
491#124—1116no—
492#123—1116no—
493#123—1116no—
494#123—1132no—
495#123—1132no—
496#123—1116no—
497#123—1132no—
498C22⋊Q8—1116no—
499C22⋊Q8—1116no—
500C22⋊Q8—1116no—
501C22⋊Q8—1116no—
502C22⋊Q8—1116no—
503C22⋊Q8—1132no—
504C22⋊Q8—1132no—
505#121—1132no—
506#121—1116no—
507#121—1116no—
508#121—1116no—
509#121—1116no—
510#121—1116no—
511#121—1132no—
512#120—1116no—
513#120—1116no—
514#120—1116no—
515C4×Q8—118no—
516C4×Q8—118no—
517C4×Q8—118no—
518C4×Q8—118no—
519C4×Q8—1116no—
520C4×Q8—1116no—
521C4×Q8C22×D1118yes—
522C4×Q8C22×D1118yes—
523C4×D4—1116no—
524C4×D4—1116no—
525C4×D4—1116no—
526C4×D4—1116no—
527C4×D4—1132no—
528C4×D4—1132no—
529C4×D4—118no—
530C4×D4—118no—
531C4×D4—118no—
532C4×D4—118no—
533C4×D4—1116no—
534C4×D4—1116no—
535C4×D4C22×D11116yes—
536C4×D4C22×D11116yes—
537C4×D4C22×D1118yes—
538C4×D4C22×D1118yes—
539#117—114no—
540#117—114no—
541#117—114no—
542#117—114no—
543#117—1116no—
544#117—118no—
545#117—118no—
546#117—1116no—
547#117—1132no—
548#117C22×D1114yes—
549#117C22×D1114yes—
550#117C22×D1118yes—
551#117C22×D1118yes—
552C2×C4⋊C4—114no—
553C2×C4⋊C4—118no—
554C2×C4⋊C4C22×D1112yes—
555C2×C4⋊C4C22×D1114yes—
556C2×C22⋊C4—114no—
557C2×C22⋊C4—118no—
558C2×C22⋊C4C22×D1112yes—
559C2×C22⋊C4C22×D1114yes—
560C2×C42—114no—
561C2×C42—118no—
562C2×C42—118no—
563C2×C42—1116no—
564C2×C42—118no—
565C2×C42C22×D1112yes—
566C2×C42C22×D1112yes—
567C2×C42C22×D1111yescharacteristic
568C2×C42C22×D1114yes—
569C2×C42C22×D1114yes—
570C2×C42C22×D1112yes—
571C2×C42C22×D1114yes—
572C2×C42C22×D1118yes—
573C2×C42C22×D1114yes—
574C2×C42C22×D1111yescharacteristic
575C2×C42C22×D1112yes—
576C2×C11—24no—
577C2×C11—22no—
578C2×C11—44no—
579C2×C11C23×#4111yescharacteristic
580C2×C11C2×#58512yes—
581D11—48no—
582C24—114no—
583C24C23×D1112yes—
584C24C23×D1111yescharacteristic
585#41—216no—
586#41—216no—
587#41—2216no—
588#41—2216no—
589#41—2216no—
590#41—2216no—
591#41—4432no—
592C2×Q8—24no—
593C2×Q8—114no—
594C2×Q8—114no—
595C2×Q8—1116no—
596C2×Q8—228no—
597C2×Q8C23×D1114yes—
598C2×D4—28no—
599C2×D4—24no—
600C2×D4—118no—
601C2×D4—118no—
602C2×D4—1132no—
603C2×D4—114no—
604C2×D4—114no—
605C2×D4—1116no—
606C2×D4—2216no—
607C2×D4—228no—
608C2×D4C23×D1118yes—
609C2×D4C23×D1114yes—
610C22×C4—28no—
611C22×C4—44no—
612C22×C4—48no—
613C22×C4—114no—
614C22×C4—118no—
615C22×C4—118no—
616C22×C4—1116no—
617C22×C4—118no—
618C22×C4—1116no—
619C22×C4—2216no—
620C22×C4—4416no—
621C22×C4#433918yescomplemented
622C22×C4C23×D1114yes—
623C22×C4C23×D1112yes—
624C22×C4C23×D1112yes—
625C22×C4C23×D1118yes—
626C22×C4C23×D1114yes—
627C22×C4C23×D1114yes—
628C22×C4C23×D1114yes—
629C22×C4C23×D1112yes—
630C22×C4C23×D1114yes—
631C22×C4C23×D1118yes—
632C22×C4C23×D1112yes—
633C22×C4C23×D1111yescharacteristic
634C22×C4C23×D1112yes—
635C22×C4C23×D1111yescharacteristic
636C4⋊C4—118no—
637C4⋊C4—118no—
638C4⋊C4—1116no—
639C4⋊C4—1116no—
640C4⋊C4—1132no—
641C4⋊C4—1132no—
642C4⋊C4—1116no—
643C4⋊C4—1116no—
644C4⋊C4C23×D1118yes—
645C4⋊C4C23×D11116yes—
646C22⋊C4—118no—
647C22⋊C4—118no—
648C22⋊C4—1132no—
649C22⋊C4—1116no—
650C22⋊C4—1116no—
651C22⋊C4—1132no—
652C22⋊C4—1132no—
653C22⋊C4C23×D1118yes—
654C22⋊C4C23×D11116yes—
655C42—118no—
656C42—1116no—
657C42—118no—
658C42—1116no—
659C42C23×D1112yes—
660C42C23×D1114yes—
661C42C23×D1111yescharacteristic
662C42C23×D1112yes—
663C42C23×D1114yes—
664C42C23×D1118yes—
665C42C23×D1112yes—
666C42C23×D1114yes—
667C42C23×D1114yes—
668C42C23×D1118yes—
669C42C23×D1111yescharacteristic
670C11#6268611yescharacteristic, complemented, Sylow
671C23—24no—
672C23—42no—
673C23—44no—
674C23—118no—
675C23—228no—
676C23—448no—
677C23C2×#433914yes—
678C23C24×D1114yes—
679C23C24×D1111yescharacteristic
680C23C24×D1112yes—
681Q8—28no—
682Q8—228no—
683Q8—228no—
684Q8—4416no—
685D4—216no—
686D4—28no—
687D4—2216no—
688D4—2216no—
689D4—228no—
690D4—228no—
691D4—4416no—
692D4—4432no—
693C2×C4—24no—
694C2×C4—28no—
695C2×C4—28no—
696C2×C4—24no—
697C2×C4—28no—
698C2×C4—216no—
699C2×C4—44no—
700C2×C4—48no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—118no—
704C2×C4—1116no—
705C2×C4—228no—
706C2×C4—2216no—
707C2×C4—2216no—
708C2×C4—2232no—
709C2×C4—4416no—
710C2×C4—448no—
711C2×C4C2×#433914yes—
712C2×C4C2×#433918yes—
713C2×C4C2×#433914yes—
714C2×C4C2×#433918yes—
715C2×C4C24×D1114yes—
716C2×C4C24×D1112yes—
717C2×C4C24×D1114yes—
718C2×C4C24×D1118yes—
719C2×C4C24×D1111yescharacteristic
720C2×C4C24×D1112yes—
721C2×C4C24×D1111yescharacteristic
722C2×C4C24×D1112yes—
723C22—22no—
724C22—24no—
725C22—24no—
726C22—28no—
727C22—44no—
728C22—48no—
729C22—228no—
730C22—2216no—
731C22—4416no—
732C22C22×#433912yes—
733C22C22×#433914yes—
734C22C25×D1111yescharacteristic
735C4—24no—
736C4—22no—
737C4—24no—
738C4—28no—
739C4—228no—
740C4—2216no—
741C4C22×#433912yes—
742C4C22×#433912yes—
743C4C22×#433914yes—
744C4#1062345314yes—
745C2—22no—
746C2—24no—
747C2—44no—
748C2—448no—
749C2C23×#433911yescharacteristic
750C2C2×#1062345312yes—
subgroupG/H
centerC42C23×D11
commutator, socle, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C4×C11×#41C2
hypercenterC2×C4×#41D11
hypocenterC11#62686
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C42 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. #13082049C2semidirect
2. #13082043C2semidirect
3. #13082038C2semidirect
4. #13082032C2semidirect
5. #13082025C2semidirect
6. #13082021C2semidirect
7. #13082006C2semidirect
8. #13082001C2semidirect
9. #13081949C2semidirect
10. #13081945C2semidirect
11. #13081912C2semidirect
12. #13081909C2semidirect
13. C2×C4×#4339C2semidirect
14. C2×C4×C11×#41C2semidirect
17. C4×C11×#41C22semidirect
18. C4×C11×#41C22semidirect
19. C4×C11×#41C22semidirect
20. C2×C4×Q8×C11C22semidirect
22. C2×C4×D4×C11C22semidirect
24. C2×C11×#117C22semidirect
26. C22×C42×C11C22semidirect
29. #10623361C22semidirect
30. #10623359C22semidirect
31. #10623356C22semidirect
32. #10623347C22semidirect
33. #10623336C22semidirect
35. #10623322C22semidirect
36. #10623322C22semidirect
39. #10623114C22semidirect
40. #10623113C22semidirect
41. #10623111C22semidirect
42. #10623109C22semidirect
43. #10623095C22semidirect
44. #10623093C22semidirect
45. #10623092C22semidirect
46. #10623091C22semidirect
47. #10623088C22semidirect
48. #10623079C22semidirect
49. #10623078C22semidirect
50. #10623069C22semidirect
51. #10623066C22semidirect
52. #10623065C22semidirect
53. #10623059C22semidirect
54. #10623057C22semidirect
55. #10623056C22semidirect
56. #10623055C22semidirect
57. #10623050C22semidirect
58. #10623049C22semidirect
59. #10623048C22semidirect
60. #10623046C22semidirect
62. #10623031C22semidirect
63. #10623025C22semidirect
66. #10623010C22semidirect
67. #10623010C22semidirect
68. #10623010C22semidirect
70. #10623008C22semidirect
71. C4×#4339C22semidirect
72. C4×#4339C22semidirect
73. C4×#4339C22semidirect
74. C4×#4339C22semidirect
75. C4×#4339C22semidirect
76. C4×#4339C22semidirect
77. C4×#4339C22semidirect
78. C2×C4×D44C22semidirect
79. C2×#66925C22semidirect
80. C2×C42×D11C22semidirect
81. #10623001C22semidirect
82. #10623001C22semidirect
83. C2×C4×Dic22C22semidirect
222. C22×C4×C11#41semidirect
309. C2×C4×#41D11semidirect
415. C4×#41C2×D11semidirect
416. C4×#41C2×D11semidirect
417. C4×#41C2×D11semidirect
419. C2×C4×Q8C2×D11semidirect
423. C2×C4×D4C2×D11semidirect
427. C2×#117C2×D11semidirect
430. C22×C42C2×D11semidirect
621. C22×C4#4339semidirect
670. C11#62686semidirect

Maximal subgroups

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

subgroupindex
#130820492
#130820432
#130820382
#130820322
#130820252
#130820212
#130820062
#130820012
#130819492
#130819452
#130819122
#130819092
C2×C4×#43392
C2×C4×C11×#412
#6268611