Finite Group Databasebeta

← #14771032

Subgroups — #14771032

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
1#13071509C211yesmaximal, characteristic, complemented
2D4×C22⋊Dic11C211yesmaximal, characteristic
3#13069315C211yesmaximal, characteristic, complemented
4#13069301C211yesmaximal, characteristic, complemented
5#13069245C211yesmaximal, characteristic, complemented
6#13069238C211yesmaximal, characteristic, complemented
7#13068879C211yesmaximal, characteristic, complemented
8#13068865C211yesmaximal, characteristic, complemented
9#13068711C211yesmaximal, characteristic, complemented
10#13068649C211yesmaximal, characteristic, complemented
11#13068547C211yesmaximal, characteristic
12#13068443C211yesmaximal, characteristic, complemented
13#102×Dic11C211yesmaximal, characteristic, complemented
14#13068397C211yesmaximal, characteristic, complemented
15C2×C11×#418C211yesmaximal, characteristic
16C23×D4×C11C2211yescharacteristic
17C22×C11×M16C2211yescharacteristic
18C2×C11×#117C2211yescharacteristic
19C22×C22⋊Dic11—21no—
20C2×D4×Dic11C2211yescharacteristic
21C2×D4×Dic11C2211yescharacteristic
22C11×#418C418yescomplemented
23C2×C11×#102C2211yescharacteristic
24C2×C11×#102C2211yescharacteristic
25C2×C11×#102C2211yescharacteristic
26C2×C11×#102C2211yescharacteristic
27#10622860—21no—
28#10622834C2211yescharacteristic
29#10622834C2211yescharacteristic
30#10622833—21no—
31#10622833—21no—
32C2×#66896C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35C2×#66896C2211yescharacteristic
36#10622825C2211yescharacteristic
37#10622825C2211yescharacteristic
38C4×C22⋊Dic11C2211yescharacteristic
39C2×C22⋊(C11⋊C8)C2211yescharacteristic
40C2×#66882C2211yescharacteristic, complemented
41C2×#66881C2211yescharacteristic, complemented
42C2×#66879C2211yescharacteristic, complemented
43C2×C8×Dic11C2211yescharacteristic, complemented
44#10622598C2211yescharacteristic, complemented
45#10622598C2211yescharacteristic, complemented
46C4⋊C4×Dic11C2211yescharacteristic, complemented
47C4⋊C4×Dic11C2211yescharacteristic, complemented
48#10622564—21no—
49#10622564—21no—
50#10622550—21no—
51C4×C4⋊Dic11—21no—
52#10622189C2211yescharacteristic, complemented
53#10622189C2211yescharacteristic, complemented
54#10622188C2211yescharacteristic, complemented
55#10622188C2211yescharacteristic, complemented
56#10622167C2211yescharacteristic, complemented
57#10622167C2211yescharacteristic, complemented
58#10622167C2211yescharacteristic, complemented
59#10622167C2211yescharacteristic, complemented
60C25×C11—21no—
61C22×D4×C11—22no—
62C22×D4×C11—22no—
63C22×D4×C11—21no—
64C22×D4×C11—22no—
65C22×D4×C11—41no—
66C22×D4×C11—41no—
67C22×D4×C11C2×C414yes—
68C22×D4×C11C2311yescharacteristic
69C22×D4×C11C2311yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C23×Dic11—21no—
72C23×Dic11—21no—
73C2×C11×M16—41no—
74C2×C11×M16—41no—
75C2×C11×M16C2×C414yescomplemented
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C11×#117—22no—
79C11×#117C2×C414yescomplemented
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C22⋊C4—21no—
83C2×C42×C11—21no—
84C2×C22⋊Dic11—21no—
85C2×C22⋊Dic11—21no—
86C2×C22⋊Dic11—21no—
87C2×C22⋊Dic11—21no—
88C2×C22⋊Dic11—21no—
89C2×C22⋊Dic11—21no—
90C2×C22⋊Dic11—21no—
91C2×C22⋊Dic11—21no—
92C2×C22⋊Dic11—44no—
93C2×C22⋊Dic11D411yescharacteristic
94C2×C22⋊Dic11D411yescharacteristic
95D4×Dic11—22no—
96D4×Dic11—22no—
97D4×Dic11—41no—
98D4×Dic11—41no—
99C2×C4⋊Dic11—21no—
100C2×C4⋊Dic11—21no—
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4×Dic11—21no—
106C2×C4×Dic11—21no—
107C2×C4×Dic11C2311yescharacteristic
108C2×C4×Dic11C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C11×#102C2×C414yes—
112C11×#102C2×C414yes—
113C11×#102C2×C414yescomplemented
114C11×#102C2×C414yescomplemented
115#66896—22no—
116#66896—22no—
117#66896—41no—
118#66896—41no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95D411yescharacteristic
126C11⋊#95D411yescharacteristic
127C22⋊(C11⋊C8)—22no—
128#66882—41no—
129#66881—41no—
130#66879—41no—
131C8×Dic11—41no—
132#22580—111nomaximal, Sylow
133C24×C11—21no—
134C24×C11—21no—
135C24×C11—24no—
136C24×C11—42no—
137C24×C11—42no—
138C24×C11—42no—
139C24×C11—42no—
140C24×C11—81no—
141C24×C11—81no—
142C24×C11C2×D411yescharacteristic
143C2×D4×C11—28no—
144C2×D4×C11—24no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11—21no—
150C2×D4×C11—21no—
151C2×D4×C11—21no—
152C2×D4×C11—21no—
153C2×D4×C11—44no—
154C2×D4×C11—44no—
155C2×D4×C11—44no—
156C2×D4×C11—42no—
157C2×D4×C11—42no—
158C2×D4×C11C22×C412yes—
159C2×D4×C11C22×C412yes—
160C2×D4×C11#4112yes—
161C2×D4×C11#4112yes—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—21no—
168C22×C4×C11C22×C412yes—
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11#4112yes—
171C22×C4×C11C2411yescharacteristic
172C22×Dic11—21no—
173C22×Dic11—21no—
174C22×Dic11—21no—
175C22×Dic11—21no—
176C22×Dic11—42no—
177C22×Dic11—42no—
178C22×Dic11—42no—
179C22×Dic11—42no—
180C22×Dic11—81no—
181C22×Dic11—81no—
182C22×Dic11C2×D411yescharacteristic
183C22×Dic11C2×D411yescharacteristic
184C22×Dic11C2×D411yescharacteristic
185C22×Dic11C2×D411yescharacteristic
186C11×M16—44no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11C22×C412yes—
192C2×C8×C11C22×C412yes—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4C22×C412yes—
196C11×C4⋊C4C22×C412yes—
197C11×C22⋊C4—24no—
198C42×C11—24no—
199C22⋊Dic11—22no—
200C22⋊Dic11—41no—
201C22⋊Dic11—42no—
202C22⋊Dic11—42no—
203C22⋊Dic11—42no—
204C22⋊Dic11—42no—
205C22⋊Dic11—42no—
206C22⋊Dic11—81no—
207C22⋊Dic11—81no—
208C22⋊Dic11—81no—
209C4⋊Dic11—21no—
210C4⋊Dic11—21no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—42no—
218C4⋊Dic11—42no—
219C4×Dic11—21no—
220C4×Dic11—21no—
221C4×Dic11—21no—
222C4×Dic11—21no—
223C4×Dic11—81no—
224C4×Dic11—81no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×#418D1111yescharacteristic
232#2347—111no—
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—22no—
247C23×C11—22no—
248C23×C11—22no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—22no—
256C23×C11—48no—
257C23×C11—48no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11—41no—
264C23×C11—41no—
265C23×C11—41no—
266C23×C11—41no—
267C23×C11—41no—
268C23×C11—84no—
269C23×C11—84no—
270C23×C11—84no—
271C23×C11—84no—
272C23×C11—84no—
273C23×C11C4×D412yes—
274C23×C11C22×D411yescharacteristic
275D4×C11—22no—
276D4×C11—22no—
277D4×C11—22no—
278D4×C11—22no—
279D4×C11—22no—
280D4×C11—48no—
281D4×C11—41no—
282D4×C11—41no—
283D4×C11#11714yes—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11C4×D412yes—
297C2×C4×C11C23×C411yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11H(5,𝔽2)11yescharacteristic
302C2×C4×C11H(5,𝔽2)11yescharacteristic
303C2×Dic11—21no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—21no—
307C2×Dic11—21no—
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—21no—
311C2×Dic11—21no—
312C2×Dic11—21no—
313C2×Dic11—21no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—41no—
323C2×Dic11—41no—
324C2×Dic11—41no—
325C2×Dic11—41no—
326C2×Dic11—84no—
327C2×Dic11—84no—
328C2×Dic11AGL(1,ℤ/8)12yes—
329C8×C11—22no—
330C8×C11—22no—
331C11⋊C8—41no—
332C11⋊C8—41no—
333C23×D4C2×D1111yescharacteristic
334C22×M16C2×D1111yescharacteristic
335C2×C4×D4—111no—
336C2×C4×D4—111no—
337C2×#117C2×D1111yescharacteristic
338C22×C22⋊C4—221no—
339C2×#107—111no—
340C2×#106—111no—
341#418Dic1118yescomplemented
342C2×#102—111no—
343C2×#102—111no—
344C2×#102—111no—
345C2×#102—111no—
346C2×#102C2×D1111yescharacteristic
347C2×#102C2×D1111yescharacteristic
348C2×#102C2×D1111yescharacteristic
349C2×#102C2×D1111yescharacteristic
350C2×C22⋊C8—111no—
351C2×#97—111no—
352C2×C4×C8—111no—
353#390—111no—
354#390—111no—
355#389—111no—
356#389—111no—
357#388—221no—
358#388—221no—
359#386—221no—
360#386—221no—
361#383—221no—
362#380—111no—
363#380—111no—
364#379—221no—
365C4×C4⋊C4—111no—
366C4×C4⋊C4—111no—
367C4×C4⋊C4—221no—
368C4×C22⋊C4—111no—
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—24no—
379C22×C11—22no—
380C22×C11—22no—
381C22×C11—42no—
382C22×C11—42no—
383C22×C11—41no—
384C22×C11—42no—
385C22×C11—41no—
386C22×C11—42no—
387C22×C11—41no—
388C22×C11—42no—
389C22×C11—41no—
390C22×C11—42no—
391C22×C11—42no—
392C22×C11—42no—
393C22×C11—42no—
394C22×C11—816no—
395C22×C11—81no—
396C22×C11—81no—
397C22×C11—81no—
398C22×C11—81no—
399C22×C11C2×C4×D411yescharacteristic
400C22×C11#54611yescharacteristic
401C22×C11#54611yescharacteristic
402C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
403C22×C11#57511yescharacteristic
404C22×C11#57611yescharacteristic
405C22×C11#57711yescharacteristic
406C4×C11—22no—
407C4×C11—42no—
408C4×C11—42no—
409C4×C11C2×#11711yescharacteristic
410C4×C11#51811yescharacteristic
411C4×C11#55111yescharacteristic
412C4×C11#55111yescharacteristic
413Dic11—22no—
414Dic11—41no—
415Dic11—41no—
416Dic11—41no—
417Dic11—81no—
418Dic11—81no—
419Dic11—81no—
420Dic11—81no—
421C25—21no—
422C22×D4—22no—
423C22×D4—22no—
424C22×D4—21no—
425C22×D4—22no—
426C22×D4—41no—
427C22×D4—41no—
428C22×D4C2×Dic1114yes—
429C22×D4C22×D1111yescharacteristic
430C22×D4C22×D1111yescharacteristic
431C23×C4—221no—
432C23×C4—221no—
433C23×C4C22×D1111yescharacteristic
434C2×M16—41no—
435C2×M16—41no—
436C2×M16C2×Dic1114yescomplemented
437C22×C8—111no—
438C22×C8—111no—
439C22×C8C22×D1111yescharacteristic
440C22×C8C22×D1111yescharacteristic
441C4×D4—222no—
442C4×D4—222no—
443C4×D4—441no—
444C4×D4—441no—
445#117—22no—
446#117C2×Dic1114yescomplemented
447C2×C4⋊C4—111no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—221no—
452C2×C4⋊C4—221no—
453C2×C4⋊C4C22×D1111yescharacteristic
454C2×C4⋊C4C22×D1111yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—111no—
457C2×C22⋊C4—111no—
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—221no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—444no—
467C2×C42—21no—
468C2×C42—111no—
469C2×C42—111no—
470C2×C42—221no—
471C2×C42—221no—
472#107—441no—
473#106—441no—
474#102—222no—
475#102—222no—
476#102—441no—
477#102—441no—
478#102C2×Dic1114yes—
479#102C2×Dic1114yes—
480#102C2×Dic1114yescomplemented
481#102C2×Dic1114yescomplemented
482C22⋊C8—222no—
483#97—441no—
484C4×C8—441no—
485#95—111no—
486#95—111no—
487#95—221no—
488#95—221no—
489#95—221no—
490#95—221no—
491#95—221no—
492#95—221no—
493C2×C11—42no—
494C2×C11—44no—
495C2×C11—82no—
496C2×C11#234211yescharacteristic
497C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
498C2×C11#294611yescharacteristic
499C2×C11#331111yescharacteristic
500C2×C11#331811yescharacteristic
501C2×C11#332211yescharacteristic
502C2×C11#332411yescharacteristic
503C24—21no—
504C24—21no—
505C24—24no—
506C24—42no—
507C24—42no—
508C24—42no—
509C24—42no—
510C24—81no—
511C24—81no—
512C24D4×D1111yescharacteristic
513C2×D4—28no—
514C2×D4—24no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—44no—
524C2×D4—44no—
525C2×D4—44no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4#433912yes—
529C2×D4#433912yes—
530C2×D4C22×Dic1112yes—
531C2×D4C22×Dic1112yes—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—111no—
539C22×C4—111no—
540C22×C4—111no—
541C22×C4—111no—
542C22×C4—221no—
543C22×C4—221no—
544C22×C4—221no—
545C22×C4—221no—
546C22×C4—442no—
547C22×C4—442no—
548C22×C4—442no—
549C22×C4—442no—
550C22×C4—881no—
551C22×C4—881no—
552C22×C4D4×D1111yescharacteristic
553C22×C4#434112yes—
554C22×C4C22×Dic1112yes—
555C22×C4C23×D1111yescharacteristic
556M16—44no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—221no—
562C2×C8—221no—
563C2×C8—221no—
564C2×C8—221no—
565C2×C8—221no—
566C2×C8—221no—
567C2×C8C22×Dic1112yes—
568C2×C8C22×Dic1112yes—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—221no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—221no—
575C4⋊C4—221no—
576C4⋊C4—221no—
577C4⋊C4—221no—
578C4⋊C4—221no—
579C4⋊C4—442no—
580C4⋊C4—442no—
581C4⋊C4C22×Dic1112yes—
582C4⋊C4C22×Dic1112yes—
583C22⋊C4—24no—
584C22⋊C4—222no—
585C22⋊C4—442no—
586C22⋊C4—441no—
587C22⋊C4—442no—
588C22⋊C4—442no—
589C22⋊C4—442no—
590C22⋊C4—442no—
591C22⋊C4—881no—
592C22⋊C4—881no—
593C22⋊C4—881no—
594C42—24no—
595C42—221no—
596C42—221no—
597C42—221no—
598C42—221no—
599C42—881no—
600C42—881no—
601C11#2258011yescharacteristic, complemented, Sylow
602C23—22no—
603C23—22no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—22no—
611C23—22no—
612C23—48no—
613C23—48no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—84no—
625C23—84no—
626C23—84no—
627C23—84no—
628C23—84no—
629C23D4×Dic1112yes—
630C23C2×D4×D1111yescharacteristic
631D4—22no—
632D4—22no—
633D4—22no—
634D4—22no—
635D4—22no—
636D4—48no—
637D4—41no—
638D4—41no—
639D4#6697914yes—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—112no—
653C2×C4—221no—
654C2×C4—221no—
655C2×C4—221no—
656C2×C4—221no—
657C2×C4—221no—
658C2×C4—221no—
659C2×C4—221no—
660C2×C4—221no—
661C2×C4—221no—
662C2×C4—221no—
663C2×C4—221no—
664C2×C4—441no—
665C2×C4—441no—
666C2×C4—441no—
667C2×C4—441no—
668C2×C4—441no—
669C2×C4—441no—
670C2×C4—441no—
671C2×C4—441no—
672C2×C4—441no—
673C2×C4—441no—
674C2×C4—441no—
675C2×C4—441no—
676C2×C4—884no—
677C2×C4—884no—
678C2×C4D4×Dic1112yes—
679C2×C4C2×#433911yescharacteristic
680C2×C4C2×#433911yescharacteristic
681C2×C4C2×#434111yescharacteristic
682C2×C4#6703711yescharacteristic
683C2×C4#6703711yescharacteristic
684C2×C4C23×Dic1111yescharacteristic
685C8—22no—
686C8—22no—
687C8—441no—
688C8—441no—
689C22—22no—
690C22—24no—
691C22—22no—
692C22—22no—
693C22—42no—
694C22—41no—
695C22—41no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—41no—
700C22—42no—
701C22—41no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—816no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22—81no—
711C22#1062302111yescharacteristic
712C22#1062302111yescharacteristic
713C22D11×AGL(1,ℤ/8)11yescharacteristic
714C22#1062330411yescharacteristic
715C22#1062330511yescharacteristic
716C22#1062330611yescharacteristic
717C22C2×D4×Dic1111yescharacteristic
718C4—22no—
719C4—42no—
720C4—42no—
721C4—222no—
722C4—441no—
723C4—441no—
724C4—441no—
725C4—881no—
726C4—881no—
727C4—881no—
728C4—881no—
729C4#1062302611yescharacteristic
730C4#1062302611yescharacteristic
731C4C2×#6697911yescharacteristic
732C4#1062332911yescharacteristic
733C2—42no—
734C2—44no—
735C2—82no—
736C2#1307146511yescharacteristic
737C2AGL(1,ℤ/8)×Dic1111yescharacteristic
738C2#1307744911yescharacteristic
739C2#1308065311yescharacteristic
740C2#1308075811yescharacteristic
741C2#1308081311yescharacteristic
742C2#1308084311yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C11×#418C2
socleC23×C11C22×D4
prime radicalC23×D4×C11C22
cosocleC22×C4×C11C24
hypercenterC2×#418D11
hypocenterC11#22580
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#418

Complements

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

NH ≅ G/Ntype
1. #13071509C2semidirect
3. #13069315C2semidirect
4. #13069301C2semidirect
5. #13069245C2semidirect
6. #13069238C2semidirect
7. #13068879C2semidirect
8. #13068865C2semidirect
9. #13068711C2semidirect
10. #13068649C2semidirect
12. #13068443C2semidirect
13. #102×Dic11C2semidirect
14. #13068397C2semidirect
22. C11×#418C4semidirect
40. C2×#66882C22semidirect
41. C2×#66881C22semidirect
42. C2×#66879C22semidirect
43. C2×C8×Dic11C22semidirect
44. #10622598C22semidirect
45. #10622598C22semidirect
46. C4⋊C4×Dic11C22semidirect
47. C4⋊C4×Dic11C22semidirect
52. #10622189C22semidirect
53. #10622189C22semidirect
54. #10622188C22semidirect
55. #10622188C22semidirect
56. #10622167C22semidirect
57. #10622167C22semidirect
58. #10622167C22semidirect
59. #10622167C22semidirect
75. C2×C11×M16C2×C4semidirect
79. C11×#117C2×C4semidirect
113. C11×#102C2×C4semidirect
114. C11×#102C2×C4semidirect
341. #418Dic11semidirect
436. C2×M16C2×Dic11semidirect
446. #117C2×Dic11semidirect
480. #102C2×Dic11semidirect
481. #102C2×Dic11semidirect
601. C11#22580semidirect

Maximal subgroups

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

subgroupindex
#130715092
D4×C22⋊Dic112
#130693152
#130693012
#130692452
#130692382
#130688792
#130688652
#130687112
#130686492
#130685472
#130684432
#102×Dic112
#130683972
C2×C11×#4182
#2258011