Finite Group Databasebeta

← #14760158

Subgroups — #14760158

Order 2816.

1120 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622765C211yesmaximal, characteristic, complemented
2C2×D8×Dic11C211yesmaximal, characteristic, complemented
3#13071342C211yesmaximal, characteristic, complemented
4#13070977C211yesmaximal, characteristic, complemented
5#13069544C211yesmaximal, characteristic, complemented
6#13069386C211yesmaximal, characteristic, complemented
7#13069245C211yesmaximal, characteristic, complemented
8#13069238C211yesmaximal, characteristic, complemented
9#13068966C211yesmaximal, characteristic, complemented
10#13068966C211yesmaximal, characteristic, complemented
11#13068626C211yesmaximal, characteristic, complemented
12#13068475C211yesmaximal, characteristic, complemented
13#13068443C211yesmaximal, characteristic, complemented
14#102×Dic11C211yesmaximal, characteristic, complemented
15C2×C11×#459C211yesmaximal, characteristic
16C22×C11×D8C2211yescharacteristic
17C22×C11×D8C2211yescharacteristic
18C2×C11×#127C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C2×D4×Dic11C2211yescharacteristic
21C2×D4×Dic11C2211yescharacteristic
22C2×D4×Dic11C2211yescharacteristic
23C2×D4×Dic11C2211yescharacteristic
24C11×#459C418yescomplemented
25C2×C11×C4⋊C8C2211yescharacteristic
26C2×C11×#102C2211yescharacteristic
27C2×C11×#102C2211yescharacteristic
28#10622834C2211yescharacteristic
29#10622834C2211yescharacteristic
30#10622833—21no—
31#10622833—21no—
32#10622833—21no—
33#10622833—21no—
34C2×#66896C2211yescharacteristic
35C2×#66896C2211yescharacteristic
36C2×#66896C2211yescharacteristic
37C2×#66896C2211yescharacteristic
38C2×#66896C2211yescharacteristic
39C2×#66896C2211yescharacteristic
40C4×C22⋊Dic11—21no—
41C2×C11⋊#95—21no—
42#10622765—24no—
43D8×Dic11—24no—
44C2×#66882C2211yescharacteristic
45C2×#66881C2211yescharacteristic
46C2×#66879C2211yescharacteristic
47C2×C8×Dic11C2211yescharacteristic
48C4⋊C4×Dic11C2211yescharacteristic
49C4⋊C4×Dic11C2211yescharacteristic
50C22⋊C4×Dic11—21no—
51C22⋊C4×Dic11—21no—
52#10622549C2211yescharacteristic
53C4×C4⋊Dic11C2211yescharacteristic
54#10622545C2211yescharacteristic
55C2×C4⋊(C11⋊C8)C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622189C2211yescharacteristic
58#10622188C2211yescharacteristic
59#10622188C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×D4×C11—21no—
63C22×D4×C11—21no—
64C22×D4×C11C2311yescharacteristic
65C22×D4×C11C2311yescharacteristic
66C22×D4×C11C2311yescharacteristic
67C23×C4×C11—21no—
68C23×Dic11—21no—
69C23×Dic11—21no—
70C23×Dic11—21no—
71C23×Dic11—21no—
72C2×C11×D8—22no—
73C2×C11×D8—22no—
74C2×C11×D8—22no—
75C2×C11×D8—22no—
76C2×C11×D8C2×C414yescomplemented
77C2×C11×D8C2×C414yescomplemented
78C22×C8×C11C2311yescharacteristic
79C22×C8×C11C2311yescharacteristic
80C11×#127—22no—
81C11×#127C2×C414yescomplemented
82C4×D4×C11—22no—
83C4×D4×C11C2×C414yescomplemented
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C11×C22⋊C4—21no—
86C2×C42×C11C2311yescharacteristic
87C2×C22⋊Dic11—21no—
88C2×C22⋊Dic11—21no—
89C2×C22⋊Dic11—21no—
90C2×C22⋊Dic11—21no—
91C2×C22⋊Dic11—21no—
92C2×C22⋊Dic11—21no—
93C2×C22⋊Dic11—21no—
94C2×C22⋊Dic11—21no—
95D4×Dic11—22no—
96D4×Dic11—22no—
97D4×Dic11—22no—
98D4×Dic11—22no—
99D4×Dic11—22no—
100D4×Dic11—22no—
101D4×Dic11—22no—
102D4×Dic11D414yescomplemented
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4⋊Dic11C2311yescharacteristic
106C2×C4⋊Dic11C2311yescharacteristic
107C2×C4×Dic11—21no—
108C2×C4×Dic11—21no—
109C2×C4×Dic11—21no—
110C2×C4×Dic11C2311yescharacteristic
111C2×C4×Dic11C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C11×C4⋊C8C2×C414yescomplemented
115C11×#102C2×C414yescomplemented
116C11×#102C2×C414yescomplemented
117#66896—22no—
118#66896—22no—
119#66896—22no—
120#66896—22no—
121#66896—22no—
122#66896—22no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95D411yescharacteristic
129C11⋊#95D411yescharacteristic
130C11⋊#95D411yescharacteristic
131C11⋊#95D411yescharacteristic
132#66882—22no—
133#66881—22no—
134#66879—22no—
135C8×Dic11—22no—
136C4⋊(C11⋊C8)—22no—
137#21513—111nomaximal, Sylow
138C24×C11—21no—
139C24×C11—21no—
140C24×C11—21no—
141C2×D4×C11—24no—
142C2×D4×C11—24no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
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—21no—
154C2×D4×C11—21no—
155C2×D4×C11—21no—
156C2×D4×C11—81no—
157C2×D4×C11—81no—
158C2×D4×C11—81no—
159C2×D4×C11—81no—
160C2×D4×C11C22×C412yes—
161C2×D4×C11C22×C412yes—
162C2×D4×C11C22×C412yes—
163C2×D4×C11C2×D412yes—
164C2×D4×C11#4112yes—
165C22×C4×C11—21no—
166C22×C4×C11—24no—
167C22×C4×C11—81no—
168C22×C4×C11—81no—
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2411yescharacteristic
172C22×Dic11—24no—
173C22×Dic11—24no—
174C22×Dic11—21no—
175C22×Dic11—21no—
176C22×Dic11—21no—
177C22×Dic11—21no—
178C22×Dic11—42no—
179C22×Dic11—42no—
180C22×Dic11—81no—
181C22×Dic11—81no—
182C22×Dic11—81no—
183C22×Dic11—81no—
184C22×Dic11—81no—
185C22×Dic11—81no—
186C22×Dic11—81no—
187C22×Dic11—81no—
188C22×Dic11C2×D411yescharacteristic
189C22×Dic11C2×D411yescharacteristic
190C22×Dic11C2×D411yescharacteristic
191C22×Dic11C2×D411yescharacteristic
192C11×D8—28no—
193C11×D8—28no—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11—21no—
197C2×C8×C11—21no—
198C2×C8×C11C22×C412yes—
199C2×C8×C11C22×C412yes—
200C11×C4⋊C4—21no—
201C11×C4⋊C4C22×C412yes—
202C11×C22⋊C4—24no—
203C42×C11C22×C412yes—
204C42×C11#4112yes—
205C22⋊Dic11—24no—
206C22⋊Dic11—24no—
207C22⋊Dic11—42no—
208C22⋊Dic11—42no—
209C22⋊Dic11—81no—
210C22⋊Dic11—81no—
211C22⋊Dic11—81no—
212C22⋊Dic11—81no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11C2×D412yes—
220C4⋊Dic11#4112yes—
221C4×Dic11—21no—
222C4×Dic11—21no—
223C4×Dic11—81no—
224C4×Dic11—81no—
225C4×Dic11—81no—
226C4×Dic11C2×D412yes—
227C4×Dic11#4112yes—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
233C2×C11⋊C8—21no—
234C2×#459D1111yescharacteristic
235C2×#442—111no—
236C2×C4×D8—111no—
237#2328—111no—
238#2275—111no—
239#1982—111no—
240#1949—111no—
241#1926—111no—
242#1925—111no—
243#1879—111no—
244#1879—111no—
245#1804—111no—
246#1768—111no—
247#1762—111no—
248C4×#102—111no—
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—22no—
252C23×C11—22no—
253C23×C11—22no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
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—41no—
269C23×C11—41no—
270C23×C11C22×D411yescharacteristic
271D4×C11—22no—
272D4×C11—22no—
273D4×C11—22no—
274D4×C11—22no—
275D4×C11—22no—
276D4×C11—22no—
277D4×C11—22no—
278D4×C11—41no—
279D4×C11—41no—
280D4×C11—41no—
281D4×C11—41no—
282D4×C11—84no—
283D4×C11—84no—
284D4×C11C4×D414yes—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—22no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—84no—
293C2×C4×C11C4×D412yes—
294C2×C4×C11C4×D412yes—
295C2×C4×C11C23×C411yescharacteristic
296C2×C4×C11C22×D411yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—21no—
305C2×Dic11—22no—
306C2×Dic11—21no—
307C2×Dic11—21no—
308C2×Dic11—22no—
309C2×Dic11—21no—
310C2×Dic11—21no—
311C2×Dic11—21no—
312C2×Dic11—21no—
313C2×Dic11—41no—
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—84no—
324C2×Dic11—84no—
325C2×Dic11—84no—
326C2×Dic11—84no—
327C2×Dic11#12112yes—
328C2×Dic11#12112yes—
329C8×C11—22no—
330C8×C11—22no—
331C11⋊C8—41no—
332C11⋊C8—41no—
333C22×D8C2×D1111yescharacteristic
334C22×D8C2×D1111yescharacteristic
335C2×#127C2×D1111yescharacteristic
336C2×C4×D4—111no—
337C2×C4×D4—111no—
338C2×C4×D4—111no—
339C2×C4×D4—111no—
340C2×C4×D4C2×D1111yescharacteristic
341#459Dic1118yescomplemented
342#442—224no—
343C4×D8—224no—
344C2×#107—111no—
345C2×#106—111no—
346C2×C4⋊C8—111no—
347C2×C4⋊C8C2×D1111yescharacteristic
348C2×#102—111no—
349C2×#102—111no—
350C2×#102—111no—
351C2×#102—111no—
352C2×#102—111no—
353C2×#102—111no—
354C2×#102C2×D1111yescharacteristic
355C2×#102C2×D1111yescharacteristic
356C2×#97—111no—
357C2×C4×C8—111no—
358#390—111no—
359#390—111no—
360#386—221no—
361#386—221no—
362#386—221no—
363#386—221no—
364#382—111no—
365C4×C4⋊C4—111no—
366C4×C4⋊C4—111no—
367C4×C4⋊C4—111no—
368C4×C22⋊C4—221no—
369C4×C22⋊C4—221no—
370C4×C22⋊C4—221no—
371#376—111no—
372C2×#95—221no—
373#340—111no—
374#340—111no—
375#340—111no—
376#340—111no—
377#336—111no—
378#336—111no—
379C22×C11—24no—
380C22×C11—42no—
381C22×C11—42no—
382C22×C11—42no—
383C22×C11—42no—
384C22×C11—42no—
385C22×C11—42no—
386C22×C11—42no—
387C22×C11—42no—
388C22×C11—42no—
389C22×C11—42no—
390C22×C11—42no—
391C22×C11—42no—
392C22×C11—81no—
393C22×C11—81no—
394C22×C11—81no—
395C22×C11—81no—
396C22×C11—81no—
397C22×C11—81no—
398C22×C11—81no—
399C22×C11—81no—
400C22×C11C2×C4×D411yescharacteristic
401C22×C11C2×#12111yescharacteristic
402C22×C11#52511yescharacteristic
403C22×C11#57611yescharacteristic
404C22×C11#57611yescharacteristic
405C22×C11#57611yescharacteristic
406C22×C11#57711yescharacteristic
407C4×C11—22no—
408C4×C11—22no—
409C4×C11—42no—
410C4×C11C2×C4×D411yescharacteristic
411C4×C11C4×#4111yescharacteristic
412C4×C11#52911yescharacteristic
413C4×C11#53211yescharacteristic
414Dic11—22no—
415Dic11—22no—
416Dic11—41no—
417Dic11—41no—
418Dic11—42no—
419Dic11—42no—
420Dic11—81no—
421Dic11—81no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4C22×D1111yescharacteristic
425C22×D4C22×D1111yescharacteristic
426C22×D4C22×D1111yescharacteristic
427C23×C4—21no—
428C23×C4—221no—
429C23×C4—221no—
430C23×C4—221no—
431C23×C4—221no—
432C2×D8—22no—
433C2×D8—22no—
434C2×D8—22no—
435C2×D8—22no—
436C2×D8C2×Dic1114yescomplemented
437C2×D8C2×Dic1114yescomplemented
438C22×C8—111no—
439C22×C8—111no—
440C22×C8C22×D1111yescharacteristic
441C22×C8C22×D1111yescharacteristic
442#127—22no—
443#127C2×Dic1114yescomplemented
444C4×D4—22no—
445C4×D4—114no—
446C4×D4—222no—
447C4×D4—222no—
448C4×D4—222no—
449C4×D4—222no—
450C4×D4—222no—
451C4×D4—222no—
452C4×D4—222no—
453C4×D4C2×Dic1114yescomplemented
454C2×C4⋊C4—111no—
455C2×C4⋊C4—111no—
456C2×C4⋊C4—111no—
457C2×C4⋊C4—111no—
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C22⋊C4—21no—
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—221no—
467C2×C22⋊C4—221no—
468C2×C42—111no—
469C2×C42—111no—
470C2×C42—221no—
471C2×C42—221no—
472C2×C42—221no—
473C2×C42C22×D1111yescharacteristic
474#107—222no—
475#106—222no—
476C4⋊C8—222no—
477C4⋊C8C2×Dic1114yescomplemented
478#102—222no—
479#102—222no—
480#102—222no—
481#102—222no—
482#102—222no—
483#102—222no—
484#102C2×Dic1114yescomplemented
485#102C2×Dic1114yescomplemented
486#97—222no—
487C4×C8—222no—
488#95—111no—
489#95—111no—
490#95—111no—
491#95—111no—
492#95—221no—
493#95—221no—
494#95—221no—
495#95—221no—
496#95—221no—
497C2×C11—44no—
498C2×C11—82no—
499C2×C11—82no—
500C2×C11C4×#12111yescharacteristic
501C2×C11#294611yescharacteristic
502C2×C11#294811yescharacteristic
503C2×C11#304111yescharacteristic
504C2×C11#304511yescharacteristic
505C2×C11#311911yescharacteristic
506C2×C11#312211yescharacteristic
507C24—21no—
508C24—21no—
509C24—21no—
510C2×D4—24no—
511C2×D4—24no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
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—21no—
524C2×D4—21no—
525C2×D4—81no—
526C2×D4—81no—
527C2×D4—81no—
528C2×D4—81no—
529C2×D4D4×D1112yes—
530C2×D4#434112yes—
531C2×D4C22×Dic1112yes—
532C2×D4C22×Dic1112yes—
533C2×D4C22×Dic1112yes—
534C22×C4—21no—
535C22×C4—24no—
536C22×C4—81no—
537C22×C4—81no—
538C22×C4—111no—
539C22×C4—111no—
540C22×C4—111no—
541C22×C4—111no—
542C22×C4—224no—
543C22×C4—221no—
544C22×C4—221no—
545C22×C4—224no—
546C22×C4—221no—
547C22×C4—221no—
548C22×C4—442no—
549C22×C4—442no—
550C22×C4—881no—
551C22×C4—881no—
552C22×C4—881no—
553C22×C4—881no—
554C22×C4—881no—
555C22×C4—881no—
556C22×C4—881no—
557C22×C4—881no—
558C22×C4D4×D1111yescharacteristic
559C22×C4D4×D1111yescharacteristic
560C22×C4C23×D1111yescharacteristic
561D8—28no—
562D8—28no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—221no—
568C2×C8—221no—
569C2×C8—221no—
570C2×C8—221no—
571C2×C8—221no—
572C2×C8—221no—
573C2×C8C22×Dic1112yes—
574C2×C8C22×Dic1112yes—
575C4⋊C4—21no—
576C4⋊C4—112no—
577C4⋊C4—112no—
578C4⋊C4—221no—
579C4⋊C4—221no—
580C4⋊C4—221no—
581C4⋊C4—221no—
582C4⋊C4—221no—
583C4⋊C4—221no—
584C4⋊C4C22×Dic1112yes—
585C22⋊C4—24no—
586C22⋊C4—224no—
587C22⋊C4—224no—
588C22⋊C4—442no—
589C22⋊C4—442no—
590C22⋊C4—881no—
591C22⋊C4—881no—
592C22⋊C4—881no—
593C22⋊C4—881no—
594C42—112no—
595C42—112no—
596C42—221no—
597C42—221no—
598C42—881no—
599C42—881no—
600C42—881no—
601C42#434112yes—
602C42C22×Dic1112yes—
603C11#2151311yescharacteristic, complemented, Sylow
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23C2×D4×D1111yescharacteristic
626D4—22no—
627D4—22no—
628D4—22no—
629D4—22no—
630D4—22no—
631D4—22no—
632D4—22no—
633D4—41no—
634D4—41no—
635D4—41no—
636D4—41no—
637D4—84no—
638D4—84no—
639D4D4×Dic1114yes—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—84no—
648C2×C4—112no—
649C2×C4—112no—
650C2×C4—221no—
651C2×C4—221no—
652C2×C4—221no—
653C2×C4—221no—
654C2×C4—221no—
655C2×C4—221no—
656C2×C4—221no—
657C2×C4—221no—
658C2×C4—222no—
659C2×C4—221no—
660C2×C4—221no—
661C2×C4—222no—
662C2×C4—441no—
663C2×C4—441no—
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—884no—
673C2×C4—884no—
674C2×C4—884no—
675C2×C4—884no—
676C2×C4D4×Dic1112yes—
677C2×C4D4×Dic1112yes—
678C2×C4C2×D4×D1111yescharacteristic
679C2×C4C2×#434111yescharacteristic
680C2×C4C2×#434111yescharacteristic
681C2×C4#41×D1111yescharacteristic
682C2×C4#41×D1111yescharacteristic
683C2×C4C23×Dic1111yescharacteristic
684C8—22no—
685C8—22no—
686C8—441no—
687C8—441no—
688C22—24no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—81no—
702C22—81no—
703C22—81no—
704C22—81no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22D11×#12111yescharacteristic
710C22#1062313711yescharacteristic
711C22#1062328811yescharacteristic
712C22#1062328811yescharacteristic
713C22#1062330511yescharacteristic
714C22#1062330611yescharacteristic
715C22C2×D4×Dic1111yescharacteristic
716C4—22no—
717C4—22no—
718C4—42no—
719C4—222no—
720C4—222no—
721C4—441no—
722C4—441no—
723C4—442no—
724C4—442no—
725C4—881no—
726C4—881no—
727C4#1062312711yescharacteristic
728C4#1062313111yescharacteristic
729C4C2×D4×Dic1111yescharacteristic
730C4#41×Dic1111yescharacteristic
731C2—44no—
732C2—82no—
733C2—82no—
734C2#121×Dic1111yescharacteristic
735C2#1307744911yescharacteristic
736C2#1307746811yescharacteristic
737C2#1307811411yescharacteristic
738C2#1307815011yescharacteristic
739C2#1307881211yescharacteristic
740C2#1307885711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
Fitting, prime radicalC2×C11×#459C2
socleC23×C11C22×D4
cosocleC22×C4×C11C24
hypercenterC2×#459D11
hypocenterC11#21513
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#459

Complements

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

NH ≅ G/Ntype
1. C2×#10622765C2semidirect
2. C2×D8×Dic11C2semidirect
3. #13071342C2semidirect
4. #13070977C2semidirect
5. #13069544C2semidirect
6. #13069386C2semidirect
7. #13069245C2semidirect
8. #13069238C2semidirect
9. #13068966C2semidirect
10. #13068966C2semidirect
11. #13068626C2semidirect
12. #13068475C2semidirect
13. #13068443C2semidirect
14. #102×Dic11C2semidirect
24. C11×#459C4semidirect
76. C2×C11×D8C2×C4semidirect
77. C2×C11×D8C2×C4semidirect
81. C11×#127C2×C4semidirect
83. C4×D4×C11C2×C4semidirect
102. D4×Dic11D4semidirect
114. C11×C4⋊C8C2×C4semidirect
115. C11×#102C2×C4semidirect
116. C11×#102C2×C4semidirect
341. #459Dic11semidirect
436. C2×D8C2×Dic11semidirect
437. C2×D8C2×Dic11semidirect
443. #127C2×Dic11semidirect
453. C4×D4C2×Dic11semidirect
477. C4⋊C8C2×Dic11semidirect
484. #102C2×Dic11semidirect
485. #102C2×Dic11semidirect
603. C11#21513semidirect

Maximal subgroups

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

subgroupindex
C2×#106227652
C2×D8×Dic112
#130713422
#130709772
#130695442
#130693862
#130692452
#130692382
#130689662
#130686262
#130684752
#130684432
#102×Dic112
C2×C11×#4592
#2151311