Finite Group Databasebeta

← #14760151

Subgroups — #14760151

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×#10622685C211yesmaximal, characteristic
2C2×#10622627C211yesmaximal, characteristic, complemented
3C2×C4×#4323C211yesmaximal, characteristic, complemented
4#13070978C211yesmaximal, characteristic, complemented
5#13069544C211yesmaximal, characteristic, complemented
6#13069382C211yesmaximal, characteristic, complemented
7#13069240C211yesmaximal, characteristic, complemented
8#13069233C211yesmaximal, characteristic, complemented
9#13068967C211yesmaximal, characteristic, complemented
10#13068967C211yesmaximal, characteristic, complemented
11#13068623C211yesmaximal, characteristic, complemented
12#13068473C211yesmaximal, characteristic, complemented
13#13068441C211yesmaximal, characteristic, complemented
14C4×#66896C211yesmaximal, characteristic, complemented
15C11×#2328C211yesmaximal, characteristic, complemented
16C2×C11×#127C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C22×#4323C2211yescharacteristic
20C22×#4323C2211yescharacteristic
21C2×C4×D44C2211yescharacteristic
22C2×C4×D44C2211yescharacteristic
23C2×C4×D44C2211yescharacteristic
24C11×#390C2211yescharacteristic
25C11×#390C2211yescharacteristic
26C11×#386—21no—
27C11×#386—21no—
28C11×#386—21no—
29C11×#386—21no—
30C11×#382C2211yescharacteristic
31C11×#376C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35C2×#66896C2211yescharacteristic
36C2×#66896C2211yescharacteristic
37C2×#66896C2211yescharacteristic
38#10622685C418yescomplemented
39#10622627—24no—
40C4×#4323—24no—
41C2×#66873C2211yescharacteristic
42C2×#66873C2211yescharacteristic
43C2×#66872C2211yescharacteristic
44C2×#66871C2211yescharacteristic
45C4×C4⋊Dic11C2211yescharacteristic
46C4×C4⋊Dic11C2211yescharacteristic
47C4×C4⋊Dic11C2211yescharacteristic
48C2×C4⋊(C11⋊C8)C2211yescharacteristic
49C2×C4⋊(C11⋊C8)C2211yescharacteristic
50C2×#66867C2211yescharacteristic
51C2×C4×C11⋊C8C2211yescharacteristic
52#10622279—21no—
53#10622279—21no—
54#10622279—21no—
55D11×#95—21no—
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622162C2211yescharacteristic
61#10622162C2211yescharacteristic
62C22×D4×C11—21no—
63C22×D4×C11—21no—
64C22×D4×C11C2311yescharacteristic
65C22×D4×C11C2311yescharacteristic
66C23×C4×C11—21no—
67C23×C4×C11—21no—
68C22×D44C2311yescharacteristic
69C22×C4×D11—21no—
70C22×C4×D11—21no—
71C22×C4×D11—21no—
72C11×#127—22no—
73C11×#127C2×C414yescomplemented
74C4×D4×C11—22no—
75C4×D4×C11—22no—
76C4×D4×C11—22no—
77C4×D4×C11—22no—
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4—21no—
86C2×C42×C11C2311yescharacteristic
87C2×C42×C11C2311yescharacteristic
88C2×C42×C11C2311yescharacteristic
89C2×#4323—22no—
90C2×#4323—22no—
91C2×#4323—22no—
92C2×#4323—22no—
93C2×#4323C2×C414yescomplemented
94C2×#4323C2×C414yescomplemented
95C2×(C2×D11)⋊C4—21no—
96C2×(C2×D11)⋊C4—21no—
97C2×(C2×D11)⋊C4—21no—
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4⋊Dic11C2311yescharacteristic
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4×Dic11—21no—
102C2×C4×Dic11—21no—
103C2×C4×Dic11—21no—
104C22×C11⋊C8C2311yescharacteristic
105C22×C11⋊C8C2311yescharacteristic
106C22×C11⋊C8C2311yescharacteristic
107C22×C11⋊C8C2311yescharacteristic
108C4×D44—22no—
109C4×D44—22no—
110C4×D44—22no—
111C4×D44—22no—
112C4×D44C2×C414yescomplemented
113C4×D44D414yescomplemented
114C11×#95—21no—
115C11×#95—21no—
116C11×#95D411yescharacteristic
117C11×#95D411yescharacteristic
118C11×#95D411yescharacteristic
119C11×#95D411yescharacteristic
120#66896—22no—
121#66896—22no—
122#66896—22no—
123#66896—22no—
124#66896C2×C414yescomplemented
125#66896C2×C414yescomplemented
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129#66873—22no—
130#66873—22no—
131#66872—22no—
132#66871—22no—
133C4⋊(C11⋊C8)—22no—
134C4⋊(C11⋊C8)C2×C414yescomplemented
135#66867—22no—
136C4×C11⋊C8—22no—
137#21513—111nomaximal, Sylow
138C24×C11—21no—
139C24×C11—21no—
140C23×D11—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—81no—
154C2×D4×C11—81no—
155C2×D4×C11—81no—
156C2×D4×C11—81no—
157C2×D4×C11C22×C412yes—
158C2×D4×C11C22×C412yes—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—42no—
162C22×C4×C11—42no—
163C22×C4×C11—81no—
164C22×C4×C11—81no—
165C22×C4×C11—81no—
166C22×C4×C11—81no—
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2411yescharacteristic
174C22×Dic11—21no—
175C22×Dic11—21no—
176C22×Dic11—21no—
177C2×D44—21no—
178C2×D44—21no—
179C2×D44—21no—
180C2×D44C22×C412yes—
181C2×D44C2×D412yes—
182C2×D44#4112yes—
183C2×C4×D11—24no—
184C2×C4×D11—24no—
185C2×C4×D11—24no—
186C2×C4×D11—81no—
187C2×C4×D11—81no—
188C2×C4×D11—81no—
189C2×C4×D11—81no—
190C2×C4×D11—81no—
191C2×C4×D11—81no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C22⋊C4—42no—
197C11×C22⋊C4—42no—
198C11×C22⋊C4—81no—
199C11×C22⋊C4—81no—
200C11×C22⋊C4—81no—
201C11×C22⋊C4—81no—
202C42×C11—21no—
203C42×C11—21no—
204C42×C11C22×C412yes—
205C42×C11C2×D412yes—
206C42×C11#4112yes—
207C42×C11#4112yes—
208#4323—28no—
209#4323—28no—
210(C2×D11)⋊C4—24no—
211(C2×D11)⋊C4—24no—
212(C2×D11)⋊C4—24no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11C22×C412yes—
217C4⋊Dic11C2×D412yes—
218C4⋊Dic11#4112yes—
219C4×Dic11—81no—
220C4×Dic11—81no—
221C4×Dic11—81no—
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⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8C22×C412yes—
233C2×C11⋊C8C22×C412yes—
234C2×#459—111no—
235C2×#442—111no—
236C2×C4×D8—111no—
237#2328D1111yescharacteristic, complemented
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—41no—
252C23×C11—41no—
253C23×C11—41no—
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×C11C22×D411yescharacteristic
264C22×D11—22no—
265C22×D11—22no—
266C22×D11—22no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—41no—
270C22×D11—41no—
271D4×C11—22no—
272D4×C11—22no—
273D4×C11—22no—
274D4×C11—22no—
275D4×C11—41no—
276D4×C11—41no—
277D4×C11—41no—
278D4×C11—41no—
279D4×C11—84no—
280D4×C11—84no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
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—21no—
290C2×C4×C11—21no—
291C2×C4×C11—21no—
292C2×C4×C11—21no—
293C2×C4×C11—21no—
294C2×C4×C11—21no—
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—84no—
302C2×C4×C11—84no—
303C2×C4×C11C4×D412yes—
304C2×C4×C11C4×D412yes—
305C2×C4×C11#12112yes—
306C2×C4×C11#12112yes—
307C2×C4×C11C23×C411yescharacteristic
308C2×C4×C11C22×D411yescharacteristic
309C2×C4×C11C2×#4111yescharacteristic
310C2×C4×C11C2×#4111yescharacteristic
311C2×C4×C11C2×#4111yescharacteristic
312C2×C4×C11C2×#4111yescharacteristic
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—22no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322D44—22no—
323D44—22no—
324D44—22no—
325D44C4×D414yes—
326C4×D11—84no—
327C4×D11—84no—
328C4×D11—84no—
329C11⋊C8—22no—
330C11⋊C8—22no—
331C11⋊C8—41no—
332C11⋊C8—41no—
333C22×D8—111no—
334C22×D8—111no—
335C2×#127C2×D1111yescharacteristic
336C2×C4×D4—111no—
337C2×C4×D4—111no—
338C2×C4×D4—111no—
339C2×C4×D4C2×D1111yescharacteristic
340C2×C4×D4C2×D1111yescharacteristic
341#459—118no—
342#442—224no—
343C4×D8—224no—
344C2×#107—111no—
345C2×#106—111no—
346C2×C4⋊C8—111no—
347C2×C4⋊C8—111no—
348C2×#102—111no—
349C2×#102—111no—
350C2×#102—111no—
351C2×#102—111no—
352C2×#102—111no—
353C2×#102—111no—
354C2×#102—111no—
355C2×#102—111no—
356C2×#97—111no—
357C2×C4×C8—111no—
358#390C2×D1111yescharacteristic
359#390C2×D1111yescharacteristic
360#386—21no—
361#386—21no—
362#386—21no—
363#386—21no—
364#382C2×D1111yescharacteristic
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#376C2×D1111yescharacteristic
372C2×#95—221no—
373#340—111no—
374#340—111no—
375#340—111no—
376#340—111no—
377#336—111no—
378#336—111no—
379C22×C11—42no—
380C22×C11—42no—
381C22×C11—42no—
382C22×C11—42no—
383C22×C11—42no—
384C22×C11—42no—
385C22×C11—81no—
386C22×C11—81no—
387C22×C11—81no—
388C22×C11—81no—
389C22×C11—81no—
390C22×C11—81no—
391C22×C11—81no—
392C22×C11—81no—
393C22×C11C2×C4×D411yescharacteristic
394C22×C11C2×#12111yescharacteristic
395C22×C11#52511yescharacteristic
396C22×C11#57611yescharacteristic
397C22×C11#57611yescharacteristic
398C22×C11#57611yescharacteristic
399C22×C11#57711yescharacteristic
400C2×D11—24no—
401C2×D11—42no—
402C2×D11—42no—
403C2×D11—42no—
404C2×D11—42no—
405C2×D11—42no—
406C2×D11—42no—
407C4×C11—22no—
408C4×C11—22no—
409C4×C11—22no—
410C4×C11—22no—
411C4×C11—41no—
412C4×C11—41no—
413C4×C11—81no—
414C4×C11—81no—
415C4×C11C2×C4×D411yescharacteristic
416C4×C11C4×#4111yescharacteristic
417C4×C11#52911yescharacteristic
418C4×C11#53211yescharacteristic
419Dic11—42no—
420Dic11—42no—
421Dic11—42no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—111no—
425C22×D4C22×D1111yescharacteristic
426C22×D4C22×D1111yescharacteristic
427C23×C4—21no—
428C23×C4—21no—
429C23×C4—221no—
430C23×C4—221no—
431C23×C4—221no—
432C2×D8—114no—
433C2×D8—114no—
434C2×D8—222no—
435C2×D8—222no—
436C2×D8—222no—
437C2×D8—222no—
438C22×C8—111no—
439C22×C8—111no—
440C22×C8—111no—
441C22×C8—111no—
442#127—22no—
443#127C4×D1114yescomplemented
444C4×D4—22no—
445C4×D4—22no—
446C4×D4—22no—
447C4×D4—22no—
448C4×D4—114no—
449C4×D4—114no—
450C4×D4—222no—
451C4×D4—222no—
452C4×D4—222no—
453C4×D4—222no—
454C2×C4⋊C4—111no—
455C2×C4⋊C4—111no—
456C2×C4⋊C4—111no—
457C2×C4⋊C4C22×D1111yescharacteristic
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—221no—
468C2×C42—221no—
469C2×C42—221no—
470C2×C42—221no—
471C2×C42C22×D1111yescharacteristic
472C2×C42C22×D1111yescharacteristic
473C2×C42C22×D1111yescharacteristic
474#107—222no—
475#106—222no—
476C4⋊C8—114no—
477C4⋊C8—222no—
478#102—114no—
479#102—114no—
480#102—222no—
481#102—222no—
482#102—222no—
483#102—222no—
484#102—222no—
485#102—222no—
486#97—222no—
487C4×C8—222no—
488#95—21no—
489#95—21no—
490#95—221no—
491#95—221no—
492#95—221no—
493#95C22⋊D1111yescharacteristic
494#95C22⋊D1111yescharacteristic
495#95C22⋊D1111yescharacteristic
496#95C22⋊D1111yescharacteristic
497C2×C11—82no—
498C2×C11—82no—
499C2×C11C4×#12111yescharacteristic
500C2×C11#294611yescharacteristic
501C2×C11#294811yescharacteristic
502C2×C11#304111yescharacteristic
503C2×C11#304511yescharacteristic
504C2×C11#311911yescharacteristic
505C2×C11#312211yescharacteristic
506D11—44no—
507C24—21no—
508C24—21no—
509C24—221no—
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—81no—
523C2×D4—81no—
524C2×D4—81no—
525C2×D4—81no—
526C2×D4—112no—
527C2×D4—112no—
528C2×D4—112no—
529C2×D4—221no—
530C2×D4—221no—
531C2×D4—221no—
532C2×D4C2×C4×D1112yes—
533C2×D4C2×C4×D1112yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—81no—
539C22×C4—81no—
540C22×C4—81no—
541C22×C4—81no—
542C22×C4—224no—
543C22×C4—221no—
544C22×C4—221no—
545C22×C4—221no—
546C22×C4—224no—
547C22×C4—224no—
548C22×C4—881no—
549C22×C4—881no—
550C22×C4—881no—
551C22×C4—881no—
552C22×C4—881no—
553C22×C4—881no—
554C22×C4C2×C22⋊D1111yescharacteristic
555C22×C4C2×C22⋊D1111yescharacteristic
556C22×C4C2×C22⋊D1111yescharacteristic
557C22×C4C2×C22⋊D1111yescharacteristic
558C22×C4C2×C22⋊D1111yescharacteristic
559C22×C4C2×C22⋊D1111yescharacteristic
560C22×C4C23×D1111yescharacteristic
561D8—228no—
562D8—228no—
563C2×C8—112no—
564C2×C8—112no—
565C2×C8—221no—
566C2×C8—221no—
567C2×C8—221no—
568C2×C8—221no—
569C2×C8—221no—
570C2×C8—221no—
571C2×C8—221no—
572C2×C8—221no—
573C2×C8—221no—
574C2×C8—221no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—112no—
580C4⋊C4—112no—
581C4⋊C4—112no—
582C4⋊C4—221no—
583C4⋊C4—221no—
584C4⋊C4—221no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—81no—
588C22⋊C4—81no—
589C22⋊C4—81no—
590C22⋊C4—81no—
591C22⋊C4—224no—
592C22⋊C4—224no—
593C22⋊C4—224no—
594C42—21no—
595C42—21no—
596C42—881no—
597C42—881no—
598C42—881no—
599C42C2×C4×D1112yes—
600C42#433912yes—
601C42D4×D1112yes—
602C42#434112yes—
603C11#2151311yescharacteristic, complemented, Sylow
604C23—22no—
605C23—22no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—222no—
619C23—222no—
620C23—222no—
621C23—441no—
622C23—441no—
623C23—441no—
624C23—441no—
625C23C22×C22⋊D1111yescharacteristic
626D4—22no—
627D4—22no—
628D4—22no—
629D4—22no—
630D4—41no—
631D4—41no—
632D4—41no—
633D4—41no—
634D4—84no—
635D4—84no—
636D4—114no—
637D4—222no—
638D4—222no—
639D4—222no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—84no—
661C2×C4—84no—
662C2×C4—222no—
663C2×C4—222no—
664C2×C4—222no—
665C2×C4—441no—
666C2×C4—441no—
667C2×C4—441no—
668C2×C4—441no—
669C2×C4—441no—
670C2×C4—441no—
671C2×C4—884no—
672C2×C4—884no—
673C2×C4—884no—
674C2×C4C4×C22⋊D1112yes—
675C2×C4C4×C22⋊D1112yes—
676C2×C4#6699112yes—
677C2×C4#6699112yes—
678C2×C4C22×C4×D1111yescharacteristic
679C2×C4C2×#433911yescharacteristic
680C2×C4C2×D4×D1111yescharacteristic
681C2×C4C2×#434111yescharacteristic
682C2×C4#41×D1111yescharacteristic
683C2×C4#41×D1111yescharacteristic
684C8—222no—
685C8—222no—
686C8—441no—
687C8—441no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—224no—
703C22—442no—
704C22—442no—
705C22—442no—
706C22—442no—
707C22—442no—
708C22—442no—
709C22C2×C4×C22⋊D1111yescharacteristic
710C22C2×#6699111yescharacteristic
711C22#1062335911yescharacteristic
712C22#1062336611yescharacteristic
713C22#1062336611yescharacteristic
714C22#1062336611yescharacteristic
715C22#1062336711yescharacteristic
716C4—22no—
717C4—22no—
718C4—22no—
719C4—22no—
720C4—41no—
721C4—41no—
722C4—81no—
723C4—81no—
724C4—442no—
725C4—442no—
726C4—442no—
727C4C4×#434111yescharacteristic
728C4C4×D4×D1111yescharacteristic
729C4#1062307911yescharacteristic
730C4#1062308811yescharacteristic
731C2—82no—
732C2—82no—
733C2—444no—
734C2C4×#6699111yescharacteristic
735C2#1307744811yescharacteristic
736C2#1307746611yescharacteristic
737C2#1307811511yescharacteristic
738C2#1307815111yescharacteristic
739C2#1307880911yescharacteristic
740C2#1307885411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2328C2
socleC23×C11C22×D4
prime radicalC2×#10622685C2
cosocleC22×C4×C11C24
hypercenter#2328D11
hypocenterC11#21513
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ #376 ◁ #2328

Complements

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

NH ≅ G/Ntype
2. C2×#10622627C2semidirect
3. C2×C4×#4323C2semidirect
4. #13070978C2semidirect
5. #13069544C2semidirect
6. #13069382C2semidirect
7. #13069240C2semidirect
8. #13069233C2semidirect
9. #13068967C2semidirect
10. #13068967C2semidirect
11. #13068623C2semidirect
12. #13068473C2semidirect
13. #13068441C2semidirect
14. C4×#66896C2semidirect
15. C11×#2328C2semidirect
38. #10622685C4semidirect
73. C11×#127C2×C4semidirect
93. C2×#4323C2×C4semidirect
94. C2×#4323C2×C4semidirect
112. C4×D44C2×C4semidirect
113. C4×D44D4semidirect
124. #66896C2×C4semidirect
125. #66896C2×C4semidirect
134. C4⋊(C11⋊C8)C2×C4semidirect
237. #2328D11semidirect
443. #127C4×D11semidirect
603. C11#21513semidirect

Maximal subgroups

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

subgroupindex
C2×#106226852
C2×#106226272
C2×C4×#43232
#130709782
#130695442
#130693822
#130692402
#130692332
#130689672
#130686232
#130684732
#130684412
C4×#668962
C11×#23282
#2151311