Finite Group Databasebeta

← #14771033

Subgroups — #14771033

Order 2816.

1150 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622614C211yesmaximal, characteristic
2C22⋊C4×D44C211yesmaximal, characteristic
3#13069312C211yesmaximal, characteristic, complemented
4#13069298C211yesmaximal, characteristic, complemented
5#13069243C211yesmaximal, characteristic, complemented
6#13069236C211yesmaximal, characteristic, complemented
7#13068876C211yesmaximal, characteristic, complemented
8#13068862C211yesmaximal, characteristic, complemented
9#13068711C211yesmaximal, characteristic, complemented
10#13068647C211yesmaximal, characteristic, complemented
11#13068546C211yesmaximal, characteristic
12#13068444C211yesmaximal, characteristic, complemented
13C4×#66873C211yesmaximal, characteristic, complemented
14#13068400C211yesmaximal, characteristic, complemented
15C11×#2347C211yesmaximal, characteristic, complemented
16C23×D44C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C22×#4318C2211yescharacteristic
19C2×C22⋊C4×D11—21no—
20C2×C4×D44C2211yescharacteristic
21C2×C4×D44C2211yescharacteristic
22C11×#389C2211yescharacteristic, complemented
23C11×#389C2211yescharacteristic, complemented
24C11×#388—21no—
25C11×#388—21no—
26C11×#383—21no—
27C11×#380C2211yescharacteristic
28C4×C11×C4⋊C4—21no—
29C4×C11×C4⋊C4C2211yescharacteristic, complemented
30C4×C11×C4⋊C4C2211yescharacteristic, complemented
31C4×C11×C22⋊C4C2211yescharacteristic
32#10622825C2211yescharacteristic
33C2×C22⋊(C11⋊C8)C2211yescharacteristic
34#10622614C418yescomplemented
35C2×#66873C2211yescharacteristic
36C2×#66873C2211yescharacteristic
37C2×#66873C2211yescharacteristic
38C2×#66873C2211yescharacteristic
39C2×#66873C2211yescharacteristic
40C2×#66873C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42C2×#66873C2211yescharacteristic
43C2×#66872C2211yescharacteristic, complemented
44C2×#66871C2211yescharacteristic, complemented
45#10622568—21no—
46#10622552C2211yescharacteristic
47#10622552C2211yescharacteristic
48C2×#66867C2211yescharacteristic, complemented
49C2×C4×C11⋊C8C2211yescharacteristic, complemented
50#10622278—21no—
51#10622278—21no—
52#10622167C2211yescharacteristic, complemented
53#10622167C2211yescharacteristic, complemented
54#10622167C2211yescharacteristic, complemented
55#10622167C2211yescharacteristic, complemented
56#10622167C2211yescharacteristic, complemented
57#10622167C2211yescharacteristic, complemented
58#10622162C2211yescharacteristic, complemented
59#10622162C2211yescharacteristic, complemented
60C24×D11—21no—
61C23×C4×C11C2311yescharacteristic
62C22×D44—22no—
63C22×D44—22no—
64C22×D44—21no—
65C22×D44—22no—
66C22×D44—41no—
67C22×D44—41no—
68C22×D44C2×C414yes—
69C22×D44C2311yescharacteristic
70C22×D44C2311yescharacteristic
71C22×C4×D11—21no—
72C22×C4×D11—21no—
73C11×#117—22no—
74C11×#117C2×C414yescomplemented
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4D411yescharacteristic
84C2×C11×C22⋊C4D411yescharacteristic
85C2×C42×C11—21no—
86C2×C42×C11—21no—
87C2×C42×C11—21no—
88C2×C42×C11C2311yescharacteristic
89C2×C42×C11C2311yescharacteristic
90C2×C22⋊Dic11—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×(C2×D11)⋊C4—21no—
94C2×(C2×D11)⋊C4—21no—
95C2×(C2×D11)⋊C4—21no—
96C2×(C2×D11)⋊C4—21no—
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×#4318—41no—
100C2×#4318—41no—
101C2×#4318C2×C414yescomplemented
102C22×C11⋊C8C2311yescharacteristic
103C22×C11⋊C8C2311yescharacteristic
104C22×C11⋊C8C2311yescharacteristic
105C22×C11⋊C8C2311yescharacteristic
106C22⋊C4×D11—44no—
107C4×D44—22no—
108C4×D44—22no—
109C4×D44—41no—
110C4×D44—41no—
111C11×#95—21no—
112C11×#95—21no—
113C11×#95—21no—
114C11×#95—21no—
115C11×#95—21no—
116C11×#95D411yescharacteristic
117C11×#95D411yescharacteristic
118C11⋊#95—21no—
119C22⋊(C11⋊C8)—22no—
120#66873—22no—
121#66873—22no—
122#66873—41no—
123#66873—41no—
124#66873C2×C414yes—
125#66873C2×C414yes—
126#66873C2×C414yescomplemented
127#66873C2×C414yescomplemented
128#66872—41no—
129#66871—41no—
130#66867—41no—
131C4×C11⋊C8—41no—
132#22580—111nomaximal, Sylow
133C24×C11C2×D411yescharacteristic
134C23×D11—21no—
135C23×D11—21no—
136C23×D11—24no—
137C23×D11—42no—
138C23×D11—42no—
139C23×D11—42no—
140C23×D11—42no—
141C23×D11—81no—
142C23×D11—81no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11C22×C412yes—
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11C2×D411yescharacteristic
154C22×C4×C11C2×D411yescharacteristic
155C22×C4×C11C2×D411yescharacteristic
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11#4112yes—
158C22×C4×C11C2411yescharacteristic
159C22×Dic11—21no—
160C22×Dic11—21no—
161C2×D44—28no—
162C2×D44—24no—
163C2×D44—21no—
164C2×D44—21no—
165C2×D44—21no—
166C2×D44—21no—
167C2×D44—21no—
168C2×D44—21no—
169C2×D44—21no—
170C2×D44—21no—
171C2×D44—42no—
172C2×D44—42no—
173C2×D44—44no—
174C2×D44—44no—
175C2×D44—44no—
176C2×D44C22×C412yes—
177C2×D44C22×C412yes—
178C2×D44#4112yes—
179C2×D44#4112yes—
180C2×C4×D11—42no—
181C2×C4×D11—42no—
182C2×C4×D11—42no—
183C2×C4×D11—42no—
184C2×C4×D11—81no—
185C2×C4×D11—81no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—42no—
193C11×C4⋊C4—42no—
194C11×C4⋊C4C22×C412yes—
195C11×C4⋊C4C22×C412yes—
196C11×C22⋊C4—24no—
197C11×C22⋊C4—22no—
198C11×C22⋊C4—41no—
199C11×C22⋊C4—81no—
200C42×C11—24no—
201C42×C11—21no—
202C42×C11—21no—
203C42×C11—21no—
204C42×C11—21no—
205C42×C11—81no—
206C42×C11—81no—
207C22⋊Dic11—42no—
208(C2×D11)⋊C4—42no—
209(C2×D11)⋊C4—42no—
210(C2×D11)⋊C4—42no—
211(C2×D11)⋊C4—42no—
212(C2×D11)⋊C4—81no—
213(C2×D11)⋊C4—81no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218#4318—44no—
219C2×C11⋊C8—21no—
220C2×C11⋊C8—21no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8C22×C412yes—
230C2×C11⋊C8C22×C412yes—
231C2×#418—111no—
232#2347D1111yescharacteristic, complemented
233D4×C22⋊C4—111no—
234#1936—111no—
235#1934—111no—
236#1926—111no—
237#1925—111no—
238#1864—111no—
239#1862—111no—
240#1825—111no—
241#1809—111no—
242#1786—111no—
243#1762—111no—
244C4×#102—111no—
245#1753—111no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11C4×D412yes—
253C23×C11C22×D411yescharacteristic
254C22×D11—22no—
255C22×D11—22no—
256C22×D11—22no—
257C22×D11—22no—
258C22×D11—48no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—48no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—41no—
270C22×D11—84no—
271C22×D11—84no—
272C22×D11—84no—
273C22×D11—84no—
274C22×D11—84no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—21no—
291C2×C4×C11—21no—
292C2×C4×C11—21no—
293C2×C4×C11—21no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11—41no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11C4×D412yes—
305C2×C4×C11AGL(1,ℤ/8)12yes—
306C2×C4×C11C23×C411yescharacteristic
307C2×C4×C11C2×#4111yescharacteristic
308C2×C4×C11C2×#4111yescharacteristic
309C2×C4×C11C2×#4111yescharacteristic
310C2×C4×C11H(5,𝔽2)11yescharacteristic
311C2×C4×C11H(5,𝔽2)11yescharacteristic
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318D44—22no—
319D44—22no—
320D44—22no—
321D44—22no—
322D44—22no—
323D44—48no—
324D44—41no—
325D44—41no—
326D44#11714yes—
327C4×D11—84no—
328C4×D11—84no—
329C11⋊C8—22no—
330C11⋊C8—22no—
331C11⋊C8—41no—
332C11⋊C8—41no—
333C23×D4—111no—
334C22×M16—111no—
335C2×C4×D4—111no—
336C2×C4×D4—111no—
337C2×#117C2×D1111yescharacteristic
338C22×C22⋊C4—221no—
339C2×#107—111no—
340C2×#106—111no—
341#418—118no—
342C2×#102—111no—
343C2×#102—111no—
344C2×#102—111no—
345C2×#102—111no—
346C2×#102—111no—
347C2×#102—111no—
348C2×#102—111no—
349C2×#102—111no—
350C2×C22⋊C8—111no—
351C2×#97—111no—
352C2×C4×C8—111no—
353#390—111no—
354#390—111no—
355#389C2×D1111yescharacteristic, complemented
356#389C2×D1111yescharacteristic, complemented
357#388—21no—
358#388—21no—
359#386—221no—
360#386—221no—
361#383—21no—
362#380—111no—
363#380C2×D1111yescharacteristic
364#379—221no—
365C4×C4⋊C4—21no—
366C4×C4⋊C4C2×D1111yescharacteristic, complemented
367C4×C4⋊C4C2×D1111yescharacteristic, complemented
368C4×C22⋊C4C2×D1111yescharacteristic
369#340—111no—
370#340—111no—
371#340—111no—
372#340—111no—
373#340—111no—
374#340—111no—
375#336—111no—
376#336—111no—
377C22×C11—22no—
378C22×C11—22no—
379C22×C11—22no—
380C22×C11—41no—
381C22×C11—41no—
382C22×C11—41no—
383C22×C11—41no—
384C22×C11C2×C4×D411yescharacteristic
385C22×C11#54611yescharacteristic
386C22×C11#54611yescharacteristic
387C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
388C22×C11#57511yescharacteristic
389C22×C11#57611yescharacteristic
390C22×C11#57711yescharacteristic
391C2×D11—24no—
392C2×D11—42no—
393C2×D11—42no—
394C2×D11—42no—
395C2×D11—42no—
396C2×D11—42no—
397C2×D11—42no—
398C2×D11—42no—
399C2×D11—42no—
400C2×D11—42no—
401C2×D11—816no—
402C2×D11—81no—
403C2×D11—81no—
404C2×D11—81no—
405C2×D11—81no—
406C4×C11—22no—
407C4×C11—22no—
408C4×C11—42no—
409C4×C11—42no—
410C4×C11—41no—
411C4×C11—41no—
412C4×C11—41no—
413C4×C11—81no—
414C4×C11—81no—
415C4×C11C2×#11711yescharacteristic
416C4×C11#51811yescharacteristic
417C4×C11#55111yescharacteristic
418C4×C11#55111yescharacteristic
419Dic11—81no—
420Dic11—81no—
421C25—221no—
422C22×D4—114no—
423C22×D4—111no—
424C22×D4—111no—
425C22×D4—222no—
426C22×D4—222no—
427C22×D4—222no—
428C22×D4—221no—
429C22×D4—441no—
430C22×D4—441no—
431C23×C4—221no—
432C23×C4—221no—
433C23×C4C22×D1111yescharacteristic
434C2×M16—114no—
435C2×M16—441no—
436C2×M16—441no—
437C22×C8—111no—
438C22×C8—111no—
439C22×C8—111no—
440C22×C8—111no—
441C4×D4—222no—
442C4×D4—222no—
443C4×D4—441no—
444C4×D4—441no—
445#117—22no—
446#117C4×D1114yescomplemented
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4C22×D1111yescharacteristic
452C2×C4⋊C4C22×D1111yescharacteristic
453C2×C4⋊C4C22×D1111yescharacteristic
454C2×C4⋊C4C22×D1111yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—221no—
458C2×C22⋊C4—221no—
459C2×C22⋊C4—221no—
460C2×C22⋊C4—221no—
461C2×C22⋊C4—221no—
462C2×C22⋊C4—221no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—444no—
465C2×C22⋊C4C22⋊D1111yescharacteristic
466C2×C22⋊C4C22⋊D1111yescharacteristic
467C2×C42—21no—
468C2×C42—21no—
469C2×C42—21no—
470C2×C42C22×D1111yescharacteristic
471C2×C42C22×D1111yescharacteristic
472#107—441no—
473#106—441no—
474#102—114no—
475#102—114no—
476#102—114no—
477#102—114no—
478#102—222no—
479#102—222no—
480#102—441no—
481#102—441no—
482C22⋊C8—222no—
483#97—441no—
484C4×C8—441no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—221no—
491#95C22⋊D1111yescharacteristic
492#95C22⋊D1111yescharacteristic
493C2×C11—42no—
494C2×C11#234211yescharacteristic
495C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
496C2×C11#294611yescharacteristic
497C2×C11#331111yescharacteristic
498C2×C11#331811yescharacteristic
499C2×C11#332211yescharacteristic
500C2×C11#332411yescharacteristic
501D11—44no—
502D11—82no—
503C24—221no—
504C24—221no—
505C24—224no—
506C24—442no—
507C24—442no—
508C24—442no—
509C24—442no—
510C24—881no—
511C24—881no—
512C24C2×C22⋊D1111yescharacteristic
513C2×D4—112no—
514C2×D4—112no—
515C2×D4—112no—
516C2×D4—112no—
517C2×D4—228no—
518C2×D4—224no—
519C2×D4—221no—
520C2×D4—221no—
521C2×D4—221no—
522C2×D4—221no—
523C2×D4—221no—
524C2×D4—221no—
525C2×D4—221no—
526C2×D4—221no—
527C2×D4—444no—
528C2×D4—444no—
529C2×D4—444no—
530C2×D4—442no—
531C2×D4—442no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—221no—
541C22×C4—221no—
542C22×C4—442no—
543C22×C4—442no—
544C22×C4—442no—
545C22×C4—442no—
546C22×C4—881no—
547C22×C4—881no—
548C22×C4C2×C4×D1112yes—
549C22×C4#433912yes—
550C22×C4C2×C22⋊D1111yescharacteristic
551C22×C4C2×C22⋊D1111yescharacteristic
552C22×C4C2×C22⋊D1111yescharacteristic
553C22×C4C2×C22⋊D1111yescharacteristic
554C22×C4C2×C22⋊D1111yescharacteristic
555C22×C4C23×D1111yescharacteristic
556M16—444no—
557C2×C8—112no—
558C2×C8—112no—
559C2×C8—221no—
560C2×C8—221no—
561C2×C8—221no—
562C2×C8—221no—
563C2×C8—221no—
564C2×C8—221no—
565C2×C8—221no—
566C2×C8—221no—
567C2×C8—221no—
568C2×C8—221no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—221no—
578C4⋊C4—221no—
579C4⋊C4—221no—
580C4⋊C4—221no—
581C4⋊C4C2×C4×D1112yes—
582C4⋊C4C2×C4×D1112yes—
583C22⋊C4—24no—
584C22⋊C4—22no—
585C22⋊C4—41no—
586C22⋊C4—81no—
587C22⋊C4—442no—
588C22⋊C4—442no—
589C22⋊C4—442no—
590C22⋊C4—442no—
591C22⋊C4—442no—
592C22⋊C4—881no—
593C22⋊C4—881no—
594C42—24no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—81no—
600C42—81no—
601C11#2258011yescharacteristic, complemented, Sylow
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—222no—
609C23—222no—
610C23—222no—
611C23—222no—
612C23—448no—
613C23—448no—
614C23—441no—
615C23—441no—
616C23—441no—
617C23—441no—
618C23—441no—
619C23—441no—
620C23—441no—
621C23—441no—
622C23—441no—
623C23—441no—
624C23—884no—
625C23—884no—
626C23—884no—
627C23—884no—
628C23—884no—
629C23C4×C22⋊D1112yes—
630C23C22×C22⋊D1111yescharacteristic
631D4—114no—
632D4—222no—
633D4—222no—
634D4—222no—
635D4—222no—
636D4—222no—
637D4—448no—
638D4—441no—
639D4—441no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—441no—
670C2×C4—441no—
671C2×C4—441no—
672C2×C4—441no—
673C2×C4—441no—
674C2×C4—441no—
675C2×C4—884no—
676C2×C4—884no—
677C2×C4C4×C22⋊D1112yes—
678C2×C4#6700212yes—
679C2×C4C22×C4×D1111yescharacteristic
680C2×C4C2×#433911yescharacteristic
681C2×C4#41×D1111yescharacteristic
682C2×C4#41×D1111yescharacteristic
683C2×C4#6704211yescharacteristic
684C2×C4#6704211yescharacteristic
685C8—222no—
686C8—222no—
687C8—441no—
688C8—441no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—224no—
697C22—442no—
698C22—442no—
699C22—442no—
700C22—442no—
701C22—442no—
702C22—442no—
703C22—442no—
704C22—442no—
705C22—442no—
706C22—8816no—
707C22—881no—
708C22—881no—
709C22—881no—
710C22—881no—
711C22C2×C4×C22⋊D1111yescharacteristic
712C22C2×#6700211yescharacteristic
713C22#1062335311yescharacteristic
714C22#1062336011yescharacteristic
715C22#1062336011yescharacteristic
716C22#1062336611yescharacteristic
717C22#1062336811yescharacteristic
718C4—22no—
719C4—22no—
720C4—41no—
721C4—41no—
722C4—42no—
723C4—42no—
724C4—41no—
725C4—81no—
726C4—81no—
727C4—881no—
728C4—881no—
729C4D11×#11711yescharacteristic
730C4#1062305211yescharacteristic
731C4#1062305811yescharacteristic
732C4#1062305811yescharacteristic
733C2—42no—
734C2—444no—
735C2—882no—
736C2#1307146611yescharacteristic
737C2C4×#6700211yescharacteristic
738C2#1307744411yescharacteristic
739C2#1308064611yescharacteristic
740C2#1308075111yescharacteristic
741C2#1308081111yescharacteristic
742C2#1308084111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2347C2
socleC23×C11C22×D4
prime radicalC23×D44C22
cosocleC22×C4×C11C24
hypercenter#2347D11
hypocenterC11#22580
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2347

Complements

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

NH ≅ G/Ntype
3. #13069312C2semidirect
4. #13069298C2semidirect
5. #13069243C2semidirect
6. #13069236C2semidirect
7. #13068876C2semidirect
8. #13068862C2semidirect
9. #13068711C2semidirect
10. #13068647C2semidirect
12. #13068444C2semidirect
13. C4×#66873C2semidirect
14. #13068400C2semidirect
15. C11×#2347C2semidirect
22. C11×#389C22semidirect
23. C11×#389C22semidirect
29. C4×C11×C4⋊C4C22semidirect
30. C4×C11×C4⋊C4C22semidirect
34. #10622614C4semidirect
43. C2×#66872C22semidirect
44. C2×#66871C22semidirect
48. C2×#66867C22semidirect
49. C2×C4×C11⋊C8C22semidirect
52. #10622167C22semidirect
53. #10622167C22semidirect
54. #10622167C22semidirect
55. #10622167C22semidirect
56. #10622167C22semidirect
57. #10622167C22semidirect
58. #10622162C22semidirect
59. #10622162C22semidirect
74. C11×#117C2×C4semidirect
101. C2×#4318C2×C4semidirect
126. #66873C2×C4semidirect
127. #66873C2×C4semidirect
232. #2347D11semidirect
355. #389C2×D11semidirect
356. #389C2×D11semidirect
366. C4×C4⋊C4C2×D11semidirect
367. C4×C4⋊C4C2×D11semidirect
446. #117C4×D11semidirect
601. C11#22580semidirect

Maximal subgroups

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

subgroupindex
C2×#106226142
C22⋊C4×D442
#130693122
#130692982
#130692432
#130692362
#130688762
#130688622
#130687112
#130686472
#130685462
#130684442
C4×#668732
#130684002
C11×#23472
#2258011