Finite Group Databasebeta

← #14926504

Subgroups — #14926504

Order 2816.

2866 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623014C211yesmaximal, characteristic, complemented
2C2×#10623335C211yesmaximal, characteristic
3#13076913C214yesmaximal, complemented
4#13074546C214yesmaximal, complemented
5#13072944C214yesmaximal, complemented
6#13072942C214yesmaximal, complemented
7#13072744C214yesmaximal, complemented
8#13072736C214yesmaximal, complemented
9#13071194C211yesmaximal, characteristic, complemented
10#13071191C211yesmaximal, characteristic, complemented
11C2×#10622826C211yesmaximal, characteristic, complemented
12C2×C4×C22⋊Dic11C211yesmaximal, characteristic, complemented
13C2×C11×#386C211yesmaximal, characteristic, complemented
14C23×D4×C11C2211yescharacteristic
15C24×C4×C11C2211yescharacteristic
16C23×C22⋊D11C2211yescharacteristic
17C22×C11×C22⋊C4C2211yescharacteristic
18C22×C11×C22⋊C4C2212yescomplemented
19C2×#67006C2212yes—
20C22×C22⋊Dic11C2211yescharacteristic
21C22×C22⋊Dic11C2211yescharacteristic
22C22×C22⋊Dic11C2211yescharacteristic
23#10623335—28no—
24C2×#66992C2214yes—
25C2×#66990C2212yes—
26C2×#66988C2212yes—
27C2×#66982C2212yes—
28C22×(C2×D11)⋊C4C2212yescomplemented
29C2×#66977C2214yescomplemented
30C22×C4×Dic11C2212yescomplemented
31C2×#66938C2214yescomplemented
32#10623014—28no—
33C2×#66931C2214yescomplemented
34C2×#66931C2214yescomplemented
35C11×#386C2214yes—
36C11×#386C2212yescomplemented
37C11×#386C2212yescomplemented
38C2×C11×#95C2212yescomplemented
39#10622860C2212yescomplemented
40#10622833C2214yes—
41#10622833C2214yescomplemented
42#10622826C2214yes—
43#10622826C2214yes—
44#10622826C2212yescomplemented
45#10622826C2212yescomplemented
46#10622824C2212yescomplemented
47C4×C22⋊Dic11C2214yescomplemented
48C4×C22⋊Dic11C2214yescomplemented
49C2×C11⋊#95C2212yescomplemented
50C2×C11⋊#95C2212yescomplemented
51#10622574C2214yescomplemented
52#10622572C2214yescomplemented
53#10622571C2214yescomplemented
54#10622570C2214yescomplemented
55#10622568C2212yescomplemented
56#10622565C2214yescomplemented
57#10622564C2214yescomplemented
58#10622560C2214yescomplemented
59#10622557C2214yescomplemented
60#10622556C2212yescomplemented
61#10622288C2214yescomplemented
62#10622286C2214yescomplemented
63#10622283C2214yescomplemented
64#10622282C2214yescomplemented
65#10622273C2214yescomplemented
66#10622271C2214yescomplemented
67#10622263C2214yescomplemented
68#10622259C2214yescomplemented
69C25×C11C2311yescharacteristic
70C25×C11C2311yescharacteristic
71C24×D11C2311yescharacteristic
72C22×D4×C11—24no—
73C22×D4×C11—24no—
74C22×D4×C11—24no—
75C22×D4×C11C2312yes—
76C22×D4×C11C2312yes—
77C23×C4×C11—24no—
78C23×C4×C11—44no—
79C23×C4×C11C2311yescharacteristic
80C23×C4×C11C2311yescharacteristic
81C23×C4×C11C2312yes—
82C23×C4×C11C2312yes—
83C23×C4×C11C2312yes—
84C23×C4×C11C2311yescharacteristic
85C22×C22⋊D11—24no—
86C22×C22⋊D11—24no—
87C22×C22⋊D11—24no—
88C22×C22⋊D11C2312yes—
89C22×C22⋊D11C2312yes—
90C22×C22⋊D11C2314yes—
91C23×Dic11C2311yescharacteristic
92C23×Dic11C2312yes—
93C23×Dic11C2312yes—
94C23×Dic11C2312yes—
95C22×Dic22C2314yes—
96C2×C11×C22⋊C4—24no—
97C2×C11×C22⋊C4—44no—
98C2×C11×C22⋊C4C2312yes—
99C2×C11×C22⋊C4C2312yes—
100C2×C11×C22⋊C4C2314yes—
101C2×C11×C22⋊C4C2314yes—
102#67006—28no—
103C2×C22⋊Dic11—24no—
104C2×C22⋊Dic11—24no—
105C2×C22⋊Dic11D418yes—
106C2×C22⋊Dic11C2312yes—
107C2×C22⋊Dic11C2312yes—
108C2×C22⋊Dic11C2312yes—
109C2×C22⋊Dic11C2314yes—
110C2×C22⋊Dic11C2312yes—
111C2×C22⋊Dic11C2314yes—
112C2×C22⋊Dic11C2314yes—
113C2×C22⋊Dic11C2312yes—
114C2×C22⋊Dic11C2312yes—
115#66992—216no—
116#66990—28no—
117#66988—28no—
118#66982—28no—
119C2×(C2×D11)⋊C4—44no—
120C2×(C2×D11)⋊C4C2314yes—
121C2×(C2×D11)⋊C4C2314yes—
122C2×(C2×D11)⋊C4C2314yes—
123C2×(C2×D11)⋊C4C2314yes—
124C2×(C2×D11)⋊C4C2314yes—
125C2×C4⋊Dic11C2314yes—
126#66977—216no—
127C2×Dic11⋊C4C2314yes—
128C2×Dic11⋊C4C2314yes—
129C2×Dic11⋊C4C2314yes—
130C2×C4×Dic11—44no—
131C2×C4×Dic11C2314yes—
132C2×C4×Dic11C2314yes—
133#66938—48no—
134#66931—216no—
135#66931—216no—
136C11×#95C2314yes—
137C11×#95C2314yes—
138C11⋊#95C2314yes—
139C11⋊#95C2314yes—
140C11⋊#95C2314yes—
141C11⋊#95C2314yes—
142C11⋊#95C2314yes—
143C11⋊#95C2314yes—
144C11⋊#95C2314yes—
145C11⋊#95C2314yes—
146#34993—111nomaximal, Sylow
147C24×C11—22no—
148C24×C11—22no—
149C24×C11—22no—
150C24×C11—42no—
151C24×C11—42no—
152C24×C11—42no—
153C24×C11—42no—
154C24×C11C2×D414yes—
155C24×C11#4114yes—
156C24×C11#4114yes—
157C24×C11C2412yes—
158C24×C11C2411yescharacteristic
159C24×C11C2411yescharacteristic
160C24×C11C2411yescharacteristic
161C23×D11—22no—
162C23×D11—22no—
163C23×D11—22no—
164C23×D11—42no—
165C23×D11—42no—
166C23×D11C2412yes—
167C2×D4×C11—24no—
168C2×D4×C11—24no—
169C2×D4×C11—24no—
170C2×D4×C11—24no—
171C2×D4×C11—24no—
172C2×D4×C11—24no—
173C2×D4×C11—416no—
174C22×C4×C11—22no—
175C22×C4×C11—24no—
176C22×C4×C11—22no—
177C22×C4×C11—24no—
178C22×C4×C11—24no—
179C22×C4×C11—22no—
180C22×C4×C11—22no—
181C22×C4×C11—22no—
182C22×C4×C11—24no—
183C22×C4×C11—24no—
184C22×C4×C11—24no—
185C22×C4×C11—42no—
186C22×C4×C11—42no—
187C22×C4×C11—42no—
188C22×C4×C11—42no—
189C22×C4×C11—42no—
190C22×C4×C11—416no—
191C22×C4×C11C2412yes—
192C22×C4×C11C2412yes—
193C22×C4×C11C2414yes—
194C22×C4×C11C2412yes—
195C2×C22⋊D11—28no—
196C2×C22⋊D11—24no—
197C2×C22⋊D11—24no—
198C2×C22⋊D11—24no—
199C2×C22⋊D11—24no—
200C2×C22⋊D11—24no—
201C2×C22⋊D11—24no—
202C2×C22⋊D11—44no—
203C2×C22⋊D11—44no—
204C2×C22⋊D11—416no—
205C22×Dic11—22no—
206C22×Dic11—24no—
207C22×Dic11—24no—
208C22×Dic11—22no—
209C22×Dic11—22no—
210C22×Dic11—42no—
211C22×Dic11—42no—
212C22×Dic11—42no—
213C22×Dic11—42no—
214C22×Dic11—42no—
215C22×Dic11—42no—
216C22×Dic11C2×D418yes—
217C22×Dic11C2412yes—
218C22×Dic11C2414yes—
219C22×Dic11C2414yes—
220C22×Dic11C2414yes—
221C2×Dic22—28no—
222C2×Dic22—44no—
223C2×Dic22—44no—
224C11×C22⋊C4—24no—
225C11×C22⋊C4—24no—
226C11×C22⋊C4—28no—
227C11×C22⋊C4—44no—
228C22⋊Dic11—28no—
229C22⋊Dic11—24no—
230C22⋊Dic11—24no—
231C22⋊Dic11—24no—
232C22⋊Dic11—24no—
233C22⋊Dic11—44no—
234C22⋊Dic11—44no—
235C22⋊Dic11C2×D418yes—
236C22⋊Dic11C2×D418yes—
237(C2×D11)⋊C4—28no—
238(C2×D11)⋊C4—28no—
239(C2×D11)⋊C4—44no—
240(C2×D11)⋊C4—44no—
241(C2×D11)⋊C4—44no—
242C4⋊Dic11—28no—
243Dic11⋊C4—28no—
244Dic11⋊C4—28no—
245Dic11⋊C4—28no—
246C4×Dic11—28no—
247C4×Dic11—44no—
248C2×#543—111no—
249C2×#534—111no—
250#2850—114no—
251#2639—114no—
252#2488—114no—
253#2488—114no—
254#2472—114no—
255#2472—114no—
256#2308—111no—
257#2308—111no—
258C2×#386—111no—
259C2×#386D1111yescharacteristic, complemented
260C2×C4×C22⋊C4—111no—
261C23×C11—22no—
262C23×C11—22no—
263C23×C11—22no—
264C23×C11—22no—
265C23×C11—22no—
266C23×C11—22no—
267C23×C11—22no—
268C23×C11—22no—
269C23×C11—22no—
270C23×C11—24no—
271C23×C11—24no—
272C23×C11—44no—
273C23×C11—48no—
274C23×C11—48no—
275C23×C11—44no—
276C23×C11—48no—
277C23×C11—44no—
278C23×C11—82no—
279C23×C11—82no—
280C23×C11—84no—
281C23×C11#124116yescomplemented
282C23×C11C22×D412yes—
283C23×C11C22×D412yes—
284C23×C11C22×D412yes—
285C23×C11C2×#4112yes—
286C23×C11C2×#4112yes—
287C23×C11C2×#4112yes—
288C23×C11C2×#4112yes—
289C23×C11C2×#4112yes—
290C23×C11C2×#4112yes—
291C23×C11C2511yescharacteristic
292C22×D11—22no—
293C22×D11—22no—
294C22×D11—22no—
295C22×D11—24no—
296C22×D11—24no—
297C22×D11—48no—
298C22×D11—44no—
299C22×D11—82no—
300C22×D11—82no—
301C22×D11—84no—
302D4×C11—48no—
303D4×C11—48no—
304C2×C4×C11—28no—
305C2×C4×C11—22no—
306C2×C4×C11—22no—
307C2×C4×C11—24no—
308C2×C4×C11—22no—
309C2×C4×C11—22no—
310C2×C4×C11—22no—
311C2×C4×C11—22no—
312C2×C4×C11—22no—
313C2×C4×C11—24no—
314C2×C4×C11—22no—
315C2×C4×C11—24no—
316C2×C4×C11—48no—
317C2×C4×C11—48no—
318C2×C4×C11—44no—
319C2×C4×C11—44no—
320C2×C4×C11—84no—
321C2×C4×C11H(5,𝔽2)14yes—
322C22⋊D11—48no—
323C22⋊D11—48no—
324C22⋊D11—88no—
325C2×Dic11—24no—
326C2×Dic11—24no—
327C2×Dic11—24no—
328C2×Dic11—22no—
329C2×Dic11—24no—
330C2×Dic11—22no—
331C2×Dic11—22no—
332C2×Dic11—24no—
333C2×Dic11—24no—
334C2×Dic11—24no—
335C2×Dic11—24no—
336C2×Dic11—48no—
337C2×Dic11—48no—
338C2×Dic11—44no—
339C2×Dic11—84no—
340C2×Dic11C22×D418yes—
341Dic22—88no—
342C23×D4—111no—
343C23×D4C2×D1111yescharacteristic
344C24×C4C2×D1111yescharacteristic
345#543—228no—
346#534—228no—
347C2×#124—114no—
348C2×#123—112no—
349C2×#123—112no—
350C2×C22⋊Q8—114no—
351C2×C22⋊Q8—114no—
352C2×C22⋊Q8—114no—
353C2×#121—114no—
354C2×#120—112no—
355C2×#120—112no—
356C22×C22⋊C4—111no—
357C22×C22⋊C4—111no—
358C22×C22⋊C4—111no—
359C22×C22⋊C4—112no—
360C22×C22⋊C4C2×D1111yescharacteristic
361C22×C22⋊C4C2×D1112yescomplemented
362C22×C42—112no—
363#400—114no—
364#400—114no—
365#397—114no—
366#397—114no—
367#394—114no—
368#394—114no—
369#393—114no—
370#393—114no—
371#391—114no—
372#390—114no—
373#388—114no—
374#388—114no—
375#388—114no—
376#388—114no—
377#386—114no—
378#386—114no—
379#386—114no—
380#386—112no—
381#386—112no—
382#386—114no—
383#386—114no—
384#386C2×D1114yes—
385#386C2×D1112yescomplemented
386#386C2×D1112yescomplemented
387#382—114no—
388#381—112no—
389#381—112no—
390#379—112no—
391#379—112no—
392C4×C22⋊C4—114no—
393C4×C22⋊C4—114no—
394C2×#95—112no—
395C2×#95—112no—
396C2×#95C2×D1112yescomplemented
397C22×C11—24no—
398C22×C11—24no—
399C22×C11—24no—
400C22×C11—22no—
401C22×C11—22no—
402C22×C11—22no—
403C22×C11—22no—
404C22×C11—22no—
405C22×C11—22no—
406C22×C11—24no—
407C22×C11—24no—
408C22×C11—24no—
409C22×C11—416no—
410C22×C11—42no—
411C22×C11—44no—
412C22×C11—42no—
413C22×C11—42no—
414C22×C11—44no—
415C22×C11—88no—
416C22×C11C2×#12414yes—
417C22×C11C2×#12414yes—
418C22×C11C2×#12414yes—
419C22×C11C23×D411yescharacteristic
420C22×C11C22×#4111yescharacteristic
421C22×C11C22×#4111yescharacteristic
422C22×C11C2×H(5,𝔽2)12yes—
423C22×C11#58512yes—
424C2×D11—42no—
425C2×D11—44no—
426C2×D11—42no—
427C2×D11—42no—
428C2×D11—44no—
429C2×D11—88no—
430C4×C11—24no—
431C4×C11—42no—
432C4×C11—42no—
433C4×C11—44no—
434Dic11—28no—
435Dic11—42no—
436Dic11—44no—
437Dic11—44no—
438C25—111no—
439C25C22×D1111yescharacteristic
440C25C22×D1111yescharacteristic
441C22×Q8—114no—
442C22×D4—24no—
443C22×D4—24no—
444C22×D4—24no—
445C22×D4—112no—
446C22×D4—112no—
447C22×D4—114no—
448C22×D4—224no—
449C22×D4—224no—
450C22×D4—224no—
451C22×D4C22×D1112yes—
452C22×D4C22×D1112yes—
453C23×C4—24no—
454C23×C4—44no—
455C23×C4—112no—
456C23×C4—111no—
457C23×C4—112no—
458C23×C4—112no—
459C23×C4C22×D1111yescharacteristic
460C23×C4C22×D1111yescharacteristic
461C23×C4C22×D1112yes—
462C23×C4C22×D1112yes—
463C23×C4C22×D1112yes—
464C23×C4C22×D1111yescharacteristic
465#124—448no—
466#123—228no—
467#123—228no—
468C22⋊Q8—2216no—
469C22⋊Q8—2216no—
470C22⋊Q8—2216no—
471#121—2216no—
472#120—228no—
473#120—228no—
474C2×C4⋊C4—114no—
475C2×C4⋊C4—114no—
476C2×C4⋊C4—114no—
477C2×C4⋊C4—114no—
478C2×C22⋊C4—24no—
479C2×C22⋊C4—44no—
480C2×C22⋊C4—118no—
481C2×C22⋊C4—112no—
482C2×C22⋊C4—112no—
483C2×C22⋊C4—112no—
484C2×C22⋊C4—112no—
485C2×C22⋊C4—112no—
486C2×C22⋊C4—112no—
487C2×C22⋊C4—114no—
488C2×C22⋊C4—114no—
489C2×C22⋊C4—114no—
490C2×C22⋊C4—114no—
491C2×C22⋊C4—114no—
492C2×C22⋊C4—114no—
493C2×C22⋊C4—114no—
494C2×C22⋊C4—114no—
495C2×C22⋊C4—224no—
496C2×C22⋊C4—224no—
497C2×C22⋊C4—444no—
498C2×C22⋊C4C22×D1112yes—
499C2×C22⋊C4C22×D1112yes—
500C2×C22⋊C4C22×D1114yes—
501C2×C22⋊C4C22×D1114yes—
502C2×C42—114no—
503C2×C42—114no—
504C2×C42—444no—
505#95—114no—
506#95—114no—
507#95—114no—
508#95—114no—
509#95—114no—
510#95—114no—
511#95—114no—
512#95—114no—
513#95C22×D1114yes—
514#95C22×D1114yes—
515C2×C11—24no—
516C2×C11—24no—
517C2×C11—24no—
518C2×C11—82no—
519C2×C11C22×#12411yescharacteristic
520C2×C11#345912yes—
521C2×C11#349011yescharacteristic
522C2×C11#349111yescharacteristic
523C2×C11#349612yes—
524D11—82no—
525C24—22no—
526C24—22no—
527C24—22no—
528C24—42no—
529C24—42no—
530C24—42no—
531C24—42no—
532C24—112no—
533C24—222no—
534C24—222no—
535C24—222no—
536C24—442no—
537C24—442no—
538C24#433914yes—
539C24D4×D1114yes—
540C24#434114yes—
541C24C23×D1112yes—
542C24C23×D1111yescharacteristic
543C24C23×D1111yescharacteristic
544C24C23×D1111yescharacteristic
545C2×Q8—228no—
546C2×Q8—444no—
547C2×Q8—444no—
548C2×D4—24no—
549C2×D4—24no—
550C2×D4—24no—
551C2×D4—24no—
552C2×D4—24no—
553C2×D4—24no—
554C2×D4—416no—
555C2×D4—228no—
556C2×D4—224no—
557C2×D4—224no—
558C2×D4—224no—
559C2×D4—224no—
560C2×D4—224no—
561C2×D4—224no—
562C2×D4—444no—
563C2×D4—444no—
564C2×D4—4416no—
565C22×C4—22no—
566C22×C4—24no—
567C22×C4—22no—
568C22×C4—22no—
569C22×C4—24no—
570C22×C4—24no—
571C22×C4—22no—
572C22×C4—22no—
573C22×C4—24no—
574C22×C4—24no—
575C22×C4—24no—
576C22×C4—42no—
577C22×C4—42no—
578C22×C4—42no—
579C22×C4—42no—
580C22×C4—42no—
581C22×C4—416no—
582C22×C4—114no—
583C22×C4—118no—
584C22×C4—112no—
585C22×C4—114no—
586C22×C4—114no—
587C22×C4—224no—
588C22×C4—222no—
589C22×C4—222no—
590C22×C4—222no—
591C22×C4—224no—
592C22×C4—442no—
593C22×C4—442no—
594C22×C4—442no—
595C22×C4—442no—
596C22×C4—442no—
597C22×C4—442no—
598C22×C4C23×D1112yes—
599C22×C4C23×D1112yes—
600C22×C4C23×D1114yes—
601C22×C4C23×D1112yes—
602C4⋊C4—228no—
603C4⋊C4—228no—
604C4⋊C4—228no—
605C4⋊C4—228no—
606C22⋊C4—24no—
607C22⋊C4—24no—
608C22⋊C4—28no—
609C22⋊C4—44no—
610C22⋊C4—118no—
611C22⋊C4—118no—
612C22⋊C4—228no—
613C22⋊C4—228no—
614C22⋊C4—224no—
615C22⋊C4—224no—
616C22⋊C4—224no—
617C22⋊C4—224no—
618C22⋊C4—228no—
619C22⋊C4—444no—
620C22⋊C4—444no—
621C22⋊C4—444no—
622C22⋊C4—444no—
623C22⋊C4—444no—
624C42—228no—
625C42—444no—
626C11#3499311yescharacteristic, complemented, Sylow
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—22no—
634C23—22no—
635C23—22no—
636C23—24no—
637C23—24no—
638C23—44no—
639C23—48no—
640C23—48no—
641C23—44no—
642C23—48no—
643C23—44no—
644C23—84no—
645C23—82no—
646C23—82no—
647C23—222no—
648C23—222no—
649C23—222no—
650C23—224no—
651C23—224no—
652C23—448no—
653C23—444no—
654C23—884no—
655C23—882no—
656C23—882no—
657C23#66938116yescomplemented
658C23C2×#433912yes—
659C23C2×#433912yes—
660C23C2×#433912yes—
661C23C2×D4×D1112yes—
662C23C2×D4×D1112yes—
663C23C2×D4×D1112yes—
664C23C2×#434112yes—
665C23C2×#434112yes—
666C23C2×#434112yes—
667C23C24×D1111yescharacteristic
668Q8—888no—
669D4—48no—
670D4—48no—
671D4—448no—
672D4—448no—
673D4—888no—
674C2×C4—28no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—24no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—24no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—24no—
686C2×C4—48no—
687C2×C4—48no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—84no—
691C2×C4—118no—
692C2×C4—224no—
693C2×C4—224no—
694C2×C4—224no—
695C2×C4—222no—
696C2×C4—224no—
697C2×C4—222no—
698C2×C4—222no—
699C2×C4—224no—
700C2×C4—224no—
701C2×C4—224no—
702C2×C4—224no—
703C2×C4—448no—
704C2×C4—448no—
705C2×C4—444no—
706C2×C4—884no—
707C2×C4#6703714yes—
708C22—24no—
709C22—24no—
710C22—24no—
711C22—24no—
712C22—24no—
713C22—24no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—416no—
721C22—44no—
722C22—42no—
723C22—44no—
724C22—42no—
725C22—42no—
726C22—88no—
727C22—444no—
728C22—442no—
729C22—444no—
730C22—442no—
731C22—442no—
732C22—888no—
733C22C2×#6693814yes—
734C22C2×#6693814yes—
735C22C2×#6693814yes—
736C22C22×#433911yescharacteristic
737C22C22×D4×D1111yescharacteristic
738C22C22×#434111yescharacteristic
739C22C2×#6703712yes—
740C22#1062345312yes—
741C4—24no—
742C4—44no—
743C4—42no—
744C4—42no—
745C4—228no—
746C4—444no—
747C4—442no—
748C4—444no—
749C2—24no—
750C2—24no—
751C2—24no—
752C2—82no—
753C2—882no—
754C2C22×#6693811yescharacteristic
755C2#1308202512yes—
756C2#1308230311yescharacteristic
757C2#1308231211yescharacteristic
758C2#1308237312yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC2×C11×#386C2
prime radicalC2×#10623335C2
hypercenterC2×#386D11
hypocenterC11#34993
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. C2×#10623014C2semidirect
3. #13076913C2semidirect
4. #13074546C2semidirect
5. #13072944C2semidirect
6. #13072942C2semidirect
7. #13072744C2semidirect
8. #13072736C2semidirect
9. #13071194C2semidirect
10. #13071191C2semidirect
11. C2×#10622826C2semidirect
12. C2×C4×C22⋊Dic11C2semidirect
13. C2×C11×#386C2semidirect
18. C22×C11×C22⋊C4C22semidirect
28. C22×(C2×D11)⋊C4C22semidirect
29. C2×#66977C22semidirect
30. C22×C4×Dic11C22semidirect
31. C2×#66938C22semidirect
33. C2×#66931C22semidirect
34. C2×#66931C22semidirect
36. C11×#386C22semidirect
37. C11×#386C22semidirect
38. C2×C11×#95C22semidirect
39. #10622860C22semidirect
41. #10622833C22semidirect
44. #10622826C22semidirect
45. #10622826C22semidirect
46. #10622824C22semidirect
47. C4×C22⋊Dic11C22semidirect
48. C4×C22⋊Dic11C22semidirect
49. C2×C11⋊#95C22semidirect
50. C2×C11⋊#95C22semidirect
51. #10622574C22semidirect
52. #10622572C22semidirect
53. #10622571C22semidirect
54. #10622570C22semidirect
55. #10622568C22semidirect
56. #10622565C22semidirect
57. #10622564C22semidirect
58. #10622560C22semidirect
59. #10622557C22semidirect
60. #10622556C22semidirect
61. #10622288C22semidirect
62. #10622286C22semidirect
63. #10622283C22semidirect
64. #10622282C22semidirect
65. #10622273C22semidirect
66. #10622271C22semidirect
67. #10622263C22semidirect
68. #10622259C22semidirect
259. C2×#386D11semidirect
281. C23×C11#124semidirect
361. C22×C22⋊C4C2×D11semidirect
385. #386C2×D11semidirect
386. #386C2×D11semidirect
396. C2×#95C2×D11semidirect
626. C11#34993semidirect
657. C23#66938semidirect

Maximal subgroups

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

subgroupindex
C2×#106230142
C2×#106233352
#130769132
#130745462
#130729442
#130729422
#130727442
#130727362
#130711942
#130711912
C2×#106228262
C2×C4×C22⋊Dic112
C2×C11×#3862
#3499311