Finite Group Databasebeta

← #14774040

Subgroups — #14774040

Order 2816.

1170 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622419C211yesmaximal, characteristic
2C2×#10622502C211yesmaximal, characteristic, complemented
3C2×D11×#103C211yesmaximal, characteristic, complemented
4#13071634C211yesmaximal, characteristic
5#13071450C211yesmaximal, characteristic, complemented
6#13069500C211yesmaximal, characteristic, complemented
7#13069308C211yesmaximal, characteristic, complemented
8#13069043C211yesmaximal, characteristic
9#13068970C211yesmaximal, characteristic, complemented
10#13068947C211yesmaximal, characteristic, complemented
11#13068871C211yesmaximal, characteristic, complemented
12#13068802C211yesmaximal, characteristic, complemented
13#13068449C211yesmaximal, characteristic, complemented
14#13068391C211yesmaximal, characteristic, complemented
15C11×#1928C211yesmaximal, characteristic, complemented
16C22×Q8×D11C2211yescharacteristic
17C22×#4325C2211yescharacteristic
18C22×#4314C2211yescharacteristic
19C22×C8×D11C2211yescharacteristic
20C2×#66948C2211yescharacteristic
21C2×#66946C2211yescharacteristic
22C2×C4⋊C4×D11C2211yescharacteristic
23C2×#66940C2211yescharacteristic
24C2×C4×D44—21no—
25C2×C4×Dic22C2211yescharacteristic
26C2×C11×#107C2211yescharacteristic
27C2×C11×#103C2211yescharacteristic
28C2×C11×#103C2211yescharacteristic
29C11×#391C2211yescharacteristic
30C4×C11×C4⋊C4C2211yescharacteristic
31#10622843C2211yescharacteristic
32C2×#66899C2211yescharacteristic
33C2×#66885C2211yescharacteristic
34C2×(C2×D11)⋊C8C2211yescharacteristic
35C2×#66880C2211yescharacteristic
36C2×#66879C2211yescharacteristic
37#10622600C2211yescharacteristic
38#10622598C2211yescharacteristic
39C2×#66874C2211yescharacteristic
40C2×#66874C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42C2×#66871C2211yescharacteristic
43#10622553—21no—
44#10622552C2211yescharacteristic
45C4×(C2×D11)⋊C4C2211yescharacteristic
46C2×#66867C2211yescharacteristic
47#10622502—24no—
48#10622419C418yescomplemented
49D11×#103—24no—
50#10622281—21no—
51#10622280—21no—
52#10622279—21no—
53#10622278—21no—
54#10622259—21no—
55#10622259—21no—
56C11×#340C2211yescharacteristic
57C11×#336C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622188C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C2×Q8×D11—22no—
64C2×Q8×D11—22no—
65C2×Q8×D11—22no—
66C2×Q8×D11—41no—
67C2×Q8×D11—41no—
68C2×Q8×D11C2×C414yescomplemented
69C22×D44—21no—
70C22×D44C2311yescharacteristic
71C22×C4×D11—21no—
72C22×C4×D11—21no—
73C22×C4×D11—21no—
74C22×C4×D11C2311yescharacteristic
75C22×Dic22—21no—
76C22×Dic22C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C22×C8×C11C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C42×C11—21no—
83C2×C42×C11C2311yescharacteristic
84C2×#4325—41no—
85C2×#4325—41no—
86C2×#4325C2×C414yescomplemented
87C2×(C2×D11)⋊C4—21no—
88C2×(C2×D11)⋊C4—21no—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4D411yescharacteristic
93C2×(C2×D11)⋊C4D411yescharacteristic
94C2×C4⋊Dic11—21no—
95C2×C4⋊Dic11C2311yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97C2×Dic11⋊C4—21no—
98C2×Dic11⋊C4—21no—
99C2×Dic11⋊C4—21no—
100C2×C4×Dic11—21no—
101C2×C4×Dic11—21no—
102C2×C4×Dic11C2311yescharacteristic
103C22×C11⋊C8C2311yescharacteristic
104C22×C11⋊C8C2311yescharacteristic
105C2×#4314—22no—
106C2×#4314—22no—
107C2×#4314C2×C414yescomplemented
108C2×C8×D11—22no—
109C2×C8×D11—22no—
110C2×C8×D11—41no—
111#66948—22no—
112#66948C2×C414yes—
113#66946—22no—
114#66946—41no—
115C4⋊C4×D11—22no—
116C4⋊C4×D11—41no—
117#66940—22no—
118#66940—41no—
119C4×D44—44no—
120C4×Dic22—22no—
121C4×Dic22—41no—
122C11×#107—22no—
123C11×#103—22no—
124C11×#103C2×C414yescomplemented
125C11×#95—21no—
126C11×#95—21no—
127C11×#95—21no—
128#66899—22no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C11⋊#95—21no—
132C11⋊#95—21no—
133C11⋊#95D411yescharacteristic
134C11⋊#95D411yescharacteristic
135#66885—41no—
136(C2×D11)⋊C8C2×C414yescomplemented
137#66880—22no—
138#66879—22no—
139#66874C2×C414yescomplemented
140#66874D414yescomplemented
141#66873—22no—
142#66871—41no—
143#66867—41no—
144#22855—111nomaximal, Sylow
145C23×D11—21no—
146C23×D11C2×D411yescharacteristic
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11—21no—
151C2×Q8×C11—21no—
152C2×Q8×C11C22×C412yes—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2411yescharacteristic
160C22×Dic11—21no—
161C22×Dic11—21no—
162C22×Dic11—21no—
163C22×Dic11C2×D411yescharacteristic
164C22×Dic11C2×D411yescharacteristic
165C22×Dic11C2×D411yescharacteristic
166Q8×D11—28no—
167Q8×D11—44no—
168Q8×D11—44no—
169Q8×D11—44no—
170C2×D44—24no—
171C2×D44—21no—
172C2×D44—21no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—42no—
177C2×D44—42no—
178C2×D44C22×C412yes—
179C2×C4×D11—24no—
180C2×C4×D11—21no—
181C2×C4×D11—21no—
182C2×C4×D11—21no—
183C2×C4×D11—21no—
184C2×C4×D11—42no—
185C2×C4×D11—42no—
186C2×C4×D11—42no—
187C2×C4×D11—42no—
188C2×C4×D11—42no—
189C2×C4×D11—42no—
190C2×C4×D11—81no—
191C2×C4×D11—81no—
192C2×C4×D11C22×C412yes—
193C2×C4×D11#4112yes—
194C2×Dic22—24no—
195C2×Dic22—21no—
196C2×Dic22—21no—
197C2×Dic22—21no—
198C2×Dic22—42no—
199C2×Dic22—42no—
200C2×Dic22C22×C412yes—
201C2×Dic22C2×D412yes—
202C2×Dic22#4112yes—
203C2×C8×C11—21no—
204C2×C8×C11—21no—
205C2×C8×C11—21no—
206C2×C8×C11—21no—
207C2×C8×C11—21no—
208C2×C8×C11C22×C412yes—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4—21no—
212C11×C4⋊C4—21no—
213C11×C4⋊C4C22×C412yes—
214C11×C4⋊C4C2×D412yes—
215C42×C11—21no—
216C42×C11—21no—
217C42×C11—42no—
218#4325—44no—
219(C2×D11)⋊C4—24no—
220(C2×D11)⋊C4—22no—
221(C2×D11)⋊C4—22no—
222(C2×D11)⋊C4—42no—
223(C2×D11)⋊C4—42no—
224(C2×D11)⋊C4—42no—
225(C2×D11)⋊C4—81no—
226C4⋊Dic11—21no—
227C4⋊Dic11—21no—
228C4⋊Dic11—21no—
229C4⋊Dic11—21no—
230C4⋊Dic11—42no—
231Dic11⋊C4—42no—
232Dic11⋊C4—42no—
233Dic11⋊C4—42no—
234C4×Dic11—21no—
235C4×Dic11—21no—
236C4×Dic11—42no—
237C4×Dic11—42no—
238C2×C11⋊C8—21no—
239C2×C11⋊C8—21no—
240C2×C11⋊C8—21no—
241C2×C11⋊C8—21no—
242C2×C11⋊C8C22×C412yes—
243C2×C11⋊C8C2×D412yes—
244#4314—28no—
245C8×D11—44no—
246C2×#448—111no—
247C2×#440—111no—
248C22×#103—111no—
249#2361—111no—
250Q8×C22⋊C4—111no—
251#1973—111no—
252#1935—111no—
253#1928D1111yescharacteristic, complemented
254#1893—111no—
255#1880—111no—
256#1877—111no—
257#1863—111no—
258#1852—111no—
259#1763—111no—
260#1752—111no—
261C23×C11C22×D411yescharacteristic
262C22×D11—21no—
263C22×D11—21no—
264C22×D11—21no—
265C22×D11—21no—
266C22×D11—22no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—41no—
270C22×D11—41no—
271C22×D11—41no—
272C22×D11—41no—
273C22×D11C4×D412yes—
274C22×D11AGL(1,ℤ/8)12yes—
275C22×D11#13712yes—
276Q8×C11—22no—
277Q8×C11—22no—
278Q8×C11—41no—
279Q8×C11—41no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11C23×C411yescharacteristic
299C2×C4×C11C22×D411yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C2×C4×C11H(5,𝔽2)11yescharacteristic
303C2×C4×C11H(5,𝔽2)11yescharacteristic
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—21no—
307C2×Dic11—22no—
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—21no—
311C2×Dic11—21no—
312C2×Dic11—21no—
313C2×Dic11—21no—
314C2×Dic11—21no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11C4×D412yes—
322D44—22no—
323D44—22no—
324D44—48no—
325D44—41no—
326D44—41no—
327C4×D11—22no—
328C4×D11—22no—
329C4×D11—22no—
330C4×D11—22no—
331C4×D11—48no—
332C4×D11—84no—
333C4×D11—84no—
334Dic22—22no—
335Dic22—22no—
336Dic22—22no—
337Dic22—48no—
338Dic22C4×D414yescomplemented
339C8×C11—22no—
340C8×C11—41no—
341C11⋊C8—22no—
342C11⋊C8—22no—
343C23×Q8—111no—
344C22×SD16—111no—
345C22×SD16—111no—
346C23×C8—111no—
347C2×#121—111no—
348C2×C4×Q8—111no—
349C2×C4×Q8—111no—
350C2×C4×D4—111no—
351C2×C4×D4—221no—
352C22×C4⋊C4—111no—
353#448—118no—
354#440—224no—
355C2×#107—111no—
356C2×#107C2×D1111yescharacteristic
357C2×#103—111no—
358C2×#103—111no—
359C2×#103—111no—
360C2×#103—111no—
361C2×#103—224no—
362C2×#103C2×D1111yescharacteristic
363C2×#103C2×D1111yescharacteristic
364C2×#102—111no—
365C2×#102—111no—
366C2×C22⋊C8—111no—
367C2×#97—111no—
368C2×#97—111no—
369#391—111no—
370#391—221no—
371#391—221no—
372#391C2×D1111yescharacteristic
373#390—111no—
374#389—111no—
375#388—221no—
376#386—221no—
377#385—221no—
378#380—111no—
379#380—221no—
380C4×C4⋊C4C2×D1111yescharacteristic
381C4×C22⋊C4—111no—
382C4×C22⋊C4—221no—
383#340—111no—
384#340—111no—
385#340—111no—
386#340C2×D1111yescharacteristic
387#336—111no—
388#336C2×D1111yescharacteristic
389C22×C11C2×C4×D411yescharacteristic
390C22×C11D4211yescharacteristic
391C22×C11#54611yescharacteristic
392C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
393C22×C11C2×#13711yescharacteristic
394C22×C11#57711yescharacteristic
395C22×C11#57811yescharacteristic
396C2×D11—22no—
397C2×D11—22no—
398C2×D11—22no—
399C2×D11—22no—
400C2×D11—22no—
401C2×D11—22no—
402C2×D11—42no—
403C2×D11—42no—
404C2×D11—42no—
405C2×D11—81no—
406C2×D11—81no—
407C2×D11—81no—
408C2×D11—81no—
409C2×D11#44014yescomplemented
410C4×C11—42no—
411C4×C11—42no—
412C4×C11—42no—
413C4×C11—41no—
414C4×C11—41no—
415C4×C11—81no—
416C4×C11C2×C4×D411yescharacteristic
417C4×C11#51811yescharacteristic
418C4×C11#54611yescharacteristic
419C4×C11#55111yescharacteristic
420Dic11—24no—
421Dic11—22no—
422Dic11—41no—
423Dic11—41no—
424Dic11—81no—
425Dic11—81no—
426C22×Q8—114no—
427C22×Q8—111no—
428C22×Q8—221no—
429C22×Q8—222no—
430C22×Q8—222no—
431C22×Q8—222no—
432C22×Q8—441no—
433C22×Q8—441no—
434C22×Q8C22×D1111yescharacteristic
435C22×D4—111no—
436C22×D4—221no—
437C23×C4—111no—
438C23×C4—221no—
439C23×C4—221no—
440C23×C4—221no—
441C2×SD16—114no—
442C2×SD16—114no—
443C2×SD16—222no—
444C2×SD16—222no—
445C2×SD16—441no—
446C2×SD16—441no—
447C22×C8—111no—
448C22×C8—111no—
449C22×C8—222no—
450C22×C8—222no—
451C22×C8—441no—
452C22×C8C22×D1111yescharacteristic
453C22×C8C22×D1111yescharacteristic
454#121—114no—
455#121—222no—
456C4×Q8—222no—
457C4×Q8—222no—
458C4×Q8—441no—
459C4×Q8—441no—
460C4×D4—222no—
461C4×D4—444no—
462C4×D4—441no—
463C2×C4⋊C4—111no—
464C2×C4⋊C4—111no—
465C2×C4⋊C4—222no—
466C2×C4⋊C4—221no—
467C2×C4⋊C4—221no—
468C2×C4⋊C4—221no—
469C2×C4⋊C4—221no—
470C2×C4⋊C4—441no—
471C2×C4⋊C4C22×D1111yescharacteristic
472C2×C4⋊C4C22×D1111yescharacteristic
473C2×C4⋊C4C22×D1111yescharacteristic
474C2×C22⋊C4—111no—
475C2×C22⋊C4—111no—
476C2×C22⋊C4—221no—
477C2×C22⋊C4—221no—
478C2×C22⋊C4—221no—
479C2×C22⋊C4—221no—
480C2×C22⋊C4—221no—
481C2×C42—21no—
482C2×C42—111no—
483C2×C42—221no—
484C2×C42—221no—
485C2×C42C22×D1111yescharacteristic
486#107—22no—
487#107—441no—
488#103—22no—
489#103—114no—
490#103—114no—
491#103—222no—
492#103—222no—
493#103C4×D1114yescomplemented
494#102—222no—
495#102—441no—
496C22⋊C8—114no—
497#97—222no—
498#97—441no—
499#95—21no—
500#95—21no—
501#95—21no—
502#95—111no—
503#95—111no—
504#95—221no—
505#95—221no—
506#95—221no—
507#95—221no—
508C2×C11#235811yescharacteristic
509C2×C11C2×#44011yescharacteristic
510C2×C11#294711yescharacteristic
511C2×C11#326511yescharacteristic
512C2×C11#327011yescharacteristic
513C2×C11#330811yescharacteristic
514C2×C11#332011yescharacteristic
515D11—24no—
516D11—82no—
517C24—111no—
518C24—221no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—112no—
525C2×Q8—112no—
526C2×Q8—112no—
527C2×Q8—224no—
528C2×Q8—221no—
529C2×Q8—221no—
530C2×Q8—221no—
531C2×Q8—228no—
532C2×Q8—442no—
533C2×Q8—442no—
534C2×Q8—444no—
535C2×Q8—444no—
536C2×Q8—444no—
537C2×Q8C2×C4×D1112yes—
538C2×D4—112no—
539C2×D4—224no—
540C2×D4—221no—
541C2×D4—221no—
542C2×D4—221no—
543C2×D4—221no—
544C2×D4—221no—
545C2×D4—442no—
546C2×D4—442no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—111no—
552C22×C4—112no—
553C22×C4—112no—
554C22×C4—111no—
555C22×C4—111no—
556C22×C4—224no—
557C22×C4—221no—
558C22×C4—221no—
559C22×C4—221no—
560C22×C4—221no—
561C22×C4—221no—
562C22×C4—221no—
563C22×C4—221no—
564C22×C4—442no—
565C22×C4—442no—
566C22×C4—442no—
567C22×C4—442no—
568C22×C4—442no—
569C22×C4—442no—
570C22×C4—881no—
571C22×C4—881no—
572C22×C4D4×D1111yescharacteristic
573C22×C4D4×D1111yescharacteristic
574C22×C4C23×D1111yescharacteristic
575SD16—228no—
576SD16—444no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—112no—
583C2×C8—112no—
584C2×C8—221no—
585C2×C8—221no—
586C2×C8—221no—
587C2×C8—221no—
588C2×C8—444no—
589C2×C8C2×C4×D1112yes—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—221no—
595C4⋊C4—221no—
596C4⋊C4—221no—
597C4⋊C4—221no—
598C4⋊C4—442no—
599C4⋊C4—442no—
600C4⋊C4—442no—
601C4⋊C4—442no—
602C4⋊C4C2×C4×D1112yes—
603C4⋊C4D4×D1112yes—
604C22⋊C4—224no—
605C22⋊C4—222no—
606C22⋊C4—222no—
607C22⋊C4—442no—
608C22⋊C4—442no—
609C22⋊C4—442no—
610C22⋊C4—881no—
611C42—21no—
612C42—21no—
613C42—42no—
614C42—221no—
615C42—221no—
616C42—442no—
617C42—442no—
618C11#2285511yescharacteristic, complemented, Sylow
619C23—112no—
620C23—112no—
621C23—112no—
622C23—221no—
623C23—221no—
624C23—221no—
625C23—221no—
626C23—222no—
627C23—441no—
628C23—441no—
629C23—441no—
630C23—441no—
631C23—441no—
632C23—441no—
633C23C2×D4×D1111yescharacteristic
634Q8—22no—
635Q8—22no—
636Q8—41no—
637Q8—41no—
638Q8—114no—
639Q8—222no—
640Q8—222no—
641Q8—222no—
642Q8—448no—
643D4—222no—
644D4—222no—
645D4—448no—
646D4—441no—
647D4—441no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—112no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—221no—
670C2×C4—222no—
671C2×C4—221no—
672C2×C4—222no—
673C2×C4—222no—
674C2×C4—222no—
675C2×C4—222no—
676C2×C4—221no—
677C2×C4—221no—
678C2×C4—221no—
679C2×C4—221no—
680C2×C4—221no—
681C2×C4—221no—
682C2×C4—448no—
683C2×C4—441no—
684C2×C4—441no—
685C2×C4—441no—
686C2×C4—441no—
687C2×C4—441no—
688C2×C4—441no—
689C2×C4—884no—
690C2×C4—884no—
691C2×C4C22×C4×D1111yescharacteristic
692C2×C4C2×D4×D1111yescharacteristic
693C2×C4#41×D1111yescharacteristic
694C2×C4#41×D1111yescharacteristic
695C2×C4#6704211yescharacteristic
696C2×C4#6704211yescharacteristic
697C8—22no—
698C8—41no—
699C8—222no—
700C8—222no—
701C22—114no—
702C22—222no—
703C22—222no—
704C22—222no—
705C22—222no—
706C22—222no—
707C22—222no—
708C22—442no—
709C22—442no—
710C22—442no—
711C22—881no—
712C22—881no—
713C22—881no—
714C22—881no—
715C22C4×D4×D1111yescharacteristic
716C22#1062314011yescharacteristic
717C22#1062318511yescharacteristic
718C22#1062329711yescharacteristic
719C22#1062330111yescharacteristic
720C22D11×AGL(1,ℤ/8)11yescharacteristic
721C22D11×#13711yescharacteristic
722C4—41no—
723C4—42no—
724C4—42no—
725C4—41no—
726C4—42no—
727C4—81no—
728C4—222no—
729C4—224no—
730C4—441no—
731C4—441no—
732C4—881no—
733C4—881no—
734C4#1062305211yescharacteristic
735C4C4×D4×D1111yescharacteristic
736C4#1062320711yescharacteristic
737C4#1062323611yescharacteristic
738C2—224no—
739C2—882no—
740C2#1307159411yescharacteristic
741C2D11×#44011yescharacteristic
742C2#1307745411yescharacteristic
743C2#1308011711yescharacteristic
744C2#1308019211yescharacteristic
745C2#1308061011yescharacteristic
746C2#1308079011yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1928C2
socleC23×C11C22×D4
prime radicalC2×#66948C22
cosocleC22×C4×C11C24
hypercenter#1928D11
hypocenterC11#22855
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1928

Complements

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

NH ≅ G/Ntype
2. C2×#10622502C2semidirect
3. C2×D11×#103C2semidirect
5. #13071450C2semidirect
6. #13069500C2semidirect
7. #13069308C2semidirect
9. #13068970C2semidirect
10. #13068947C2semidirect
11. #13068871C2semidirect
12. #13068802C2semidirect
13. #13068449C2semidirect
14. #13068391C2semidirect
15. C11×#1928C2semidirect
48. #10622419C4semidirect
68. C2×Q8×D11C2×C4semidirect
86. C2×#4325C2×C4semidirect
107. C2×#4314C2×C4semidirect
124. C11×#103C2×C4semidirect
136. (C2×D11)⋊C8C2×C4semidirect
139. #66874C2×C4semidirect
140. #66874D4semidirect
253. #1928D11semidirect
338. Dic22C4×D4semidirect
409. C2×D11#440semidirect
493. #103C4×D11semidirect
618. C11#22855semidirect

Maximal subgroups

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

subgroupindex
C2×#106224192
C2×#106225022
C2×D11×#1032
#130716342
#130714502
#130695002
#130693082
#130690432
#130689702
#130689472
#130688712
#130688022
#130684492
#130683912
C11×#19282
#2285511