Finite Group Databasebeta

← #14814867

Subgroups — #14814867

Order 2816.

934 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622334C211yesmaximal, characteristic, complemented
2C2×#10622418C211yesmaximal, characteristic, complemented
3#13073566C211yesmaximal, characteristic
4#13071512C211yesmaximal, characteristic
5#13069814C211yesmaximal, characteristic, complemented
6#13069812C211yesmaximal, characteristic, complemented
7#13069811C211yesmaximal, characteristic, complemented
8#13069537C211yesmaximal, characteristic, complemented
9#13069416C211yesmaximal, characteristic, complemented
10#13069408C211yesmaximal, characteristic
11#13069378C211yesmaximal, characteristic, complemented
12#13068924C211yesmaximal, characteristic, complemented
13#13068922C211yesmaximal, characteristic, complemented
14#106×Dic11C211yesmaximal, characteristic, complemented
15C11×#2035C211yesmaximal, characteristic, complemented
16C2×C11×C22⋊Q8C2211yescharacteristic
17C2×#66999C2211yescharacteristic
18C2×#66997C2211yescharacteristic
19C2×C4×C22⋊D11C2211yescharacteristic
20C22×C4⋊Dic11C2211yescharacteristic
21C2×#66977C2211yescharacteristic
22C2×#66950C2211yescharacteristic
23C2×C4⋊C4×D11C2211yescharacteristic
24C2×(C22⋊D11)⋊C4—21no—
25C2×C11×#106C2211yescharacteristic
26C2×C11×#103C2211yescharacteristic
27C2×C11×#103C2211yescharacteristic
28C2×C11×C22⋊C8C2211yescharacteristic
29C11×#380C2211yescharacteristic
30C2×#66899C2211yescharacteristic
31C2×#66899C2211yescharacteristic
32C2×C22⋊(C11⋊C8)C2211yescharacteristic
33C2×(C2×D11)⋊C8C2211yescharacteristic
34C2×(C2×D11)⋊C8C2211yescharacteristic
35C2×#66881C2211yescharacteristic
36C2×#66881C2211yescharacteristic
37C2×#66880C2211yescharacteristic
38C2×#66880C2211yescharacteristic
39C2×Dic11⋊C8C2211yescharacteristic
40C2×C8×Dic11C2211yescharacteristic
41#10622605—21no—
42#10622600C2211yescharacteristic
43#10622589—21no—
44#10622589C2211yescharacteristic
45C4⋊C4×Dic11C2211yescharacteristic
46C4⋊C4×Dic11C2211yescharacteristic
47C2×#66874C2211yescharacteristic
48C2×#66874C2211yescharacteristic
49C2×#66872C2211yescharacteristic
50#10622570—21no—
51#10622562—21no—
52#10622559—21no—
53#10622418—24no—
54#10622334—24no—
55#10622281—21no—
56#10622260—21no—
57C11×#340C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61C22×Q8×C11C2311yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C22×C22⋊D11D411yescharacteristic
64C23×Dic11—21no—
65C22×C4×D11—21no—
66C22×C4×D11C2311yescharacteristic
67C22×Dic22C2311yescharacteristic
68C22×C8×C11C2311yescharacteristic
69C22×C8×C11C2311yescharacteristic
70C11×C22⋊Q8—22no—
71C11×C22⋊Q8—41no—
72C2×C11×C4⋊C4—21no—
73C2×C11×C4⋊C4C2311yescharacteristic
74C2×C11×C4⋊C4C2311yescharacteristic
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C11×C22⋊C4—21no—
77C2×C11×C22⋊C4—21no—
78C2×C22⋊Dic11—21no—
79C2×C22⋊Dic11D411yescharacteristic
80#66999—22no—
81#66999—41no—
82#66997—22no—
83#66997—22no—
84C4×C22⋊D11—22no—
85C4×C22⋊D11—22no—
86C2×(C2×D11)⋊C4—21no—
87C2×(C2×D11)⋊C4—21no—
88C2×(C2×D11)⋊C4—21no—
89C2×(C2×D11)⋊C4D411yescharacteristic
90C2×C4⋊Dic11—22no—
91C2×C4⋊Dic11—21no—
92C2×C4⋊Dic11—21no—
93C2×C4⋊Dic11—41no—
94C2×C4⋊Dic11C2311yescharacteristic
95C2×C4⋊Dic11C2311yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97#66977—22no—
98#66977—41no—
99C2×Dic11⋊C4—21no—
100C2×Dic11⋊C4—21no—
101C2×Dic11⋊C4—21no—
102C2×Dic11⋊C4—21no—
103C2×Dic11⋊C4—21no—
104C2×Dic11⋊C4—21no—
105C2×Dic11⋊C4—21no—
106C2×Dic11⋊C4D411yescharacteristic
107C2×C4×Dic11—21no—
108C2×C4×Dic11—21no—
109C2×C4×Dic11C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112#66950—22no—
113#66950—41no—
114C4⋊C4×D11—22no—
115C4⋊C4×D11—41no—
116(C22⋊D11)⋊C4—44no—
117C11×#106—22no—
118C11×#103—22no—
119C11×#103—41no—
120C11×C22⋊C8—22no—
121C11×#95—21no—
122#66899—22no—
123#66899—41no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C22⋊(C11⋊C8)—41no—
128(C2×D11)⋊C8—22no—
129(C2×D11)⋊C8—41no—
130#66881—22no—
131#66881D414yescomplemented
132#66880—22no—
133#66880—22no—
134Dic11⋊C8—22no—
135C8×Dic11—22no—
136#66874—41no—
137#66874—41no—
138#66872—22no—
139#26234—111nomaximal, Sylow
140C24×C11C2×D411yescharacteristic
141C23×D11C2×D411yescharacteristic
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2411yescharacteristic
160C2×C22⋊D11—22no—
161C2×C22⋊D11—22no—
162C2×C22⋊D11SD1614yes—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—42no—
168C22×Dic11—42no—
169C22×Dic11—81no—
170C22×Dic11C2×D411yescharacteristic
171C22×Dic11C2×D411yescharacteristic
172C22×Dic11C2×D411yescharacteristic
173C2×C4×D11—21no—
174C2×C4×D11—21no—
175C2×C4×D11—21no—
176C2×C4×D11—21no—
177C2×C4×D11—21no—
178C2×C4×D11—21no—
179C2×C4×D11—42no—
180C2×C4×D11—42no—
181C2×C4×D11—81no—
182C2×Dic22—21no—
183C2×Dic22—21no—
184C2×Dic22—21no—
185C2×Dic22—21no—
186C2×Dic22—21no—
187C2×Dic22—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C2×C8×C11C2×D412yes—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—42no—
200C11×C4⋊C4#4112yes—
201C11×C22⋊C4—42no—
202C11×C22⋊C4—42no—
203C22⋊Dic11—22no—
204C22⋊Dic11—42no—
205(C2×D11)⋊C4—22no—
206(C2×D11)⋊C4—42no—
207(C2×D11)⋊C4—42no—
208(C2×D11)⋊C4—42no—
209C4⋊Dic11—21no—
210C4⋊Dic11—21no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—42no—
214C4⋊Dic11—42no—
215C4⋊Dic11C2×D412yes—
216C4⋊Dic11C2×D412yes—
217Dic11⋊C4—22no—
218Dic11⋊C4—42no—
219Dic11⋊C4—42no—
220Dic11⋊C4—42no—
221Dic11⋊C4—42no—
222Dic11⋊C4—42no—
223Dic11⋊C4—42no—
224Dic11⋊C4—81no—
225C4×Dic11—42no—
226C4×Dic11—42no—
227C4×Dic11#4112yes—
228C4×Dic11#4112yes—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
233C2×C11⋊C8—21no—
234C2×C11⋊C8—21no—
235C2×#483—111no—
236C2×#483—111no—
237#2542—111no—
238D4×C4⋊C4—111no—
239#2035—111no—
240#2035—111no—
241#2035—111no—
242#2035D1111yescharacteristic, complemented
243#1981—111no—
244#1956—111no—
245#1954—111no—
246#1948—111no—
247#1872—111no—
248#1872—111no—
249C4×#106—111no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11C2×SD1612yes—
257C23×C11C22×D411yescharacteristic
258C22×D11—21no—
259C22×D11—21no—
260C22×D11—21no—
261C22×D11—21no—
262C22×D11—21no—
263C22×D11—21no—
264C22×D11C2×SD1612yes—
265Q8×C11—41no—
266Q8×C11—41no—
267Q8×C11—41no—
268Q8×C11—41no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—22no—
272C2×C4×C11—21no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11C22×D411yescharacteristic
289C2×C4×C11C2×#4111yescharacteristic
290C2×C4×C11C2×#4111yescharacteristic
291C2×C4×C11C2×#4111yescharacteristic
292C2×C4×C11H(5,𝔽2)11yescharacteristic
293C2×C4×C11H(5,𝔽2)11yescharacteristic
294C22⋊D11—28no—
295C2×Dic11—21no—
296C2×Dic11—21no—
297C2×Dic11—21no—
298C2×Dic11—21no—
299C2×Dic11—22no—
300C2×Dic11—22no—
301C2×Dic11—21no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—84no—
313C2×Dic11#12312yes—
314C2×Dic11#12312yes—
315C2×Dic11C2×SD1612yes—
316C2×Dic11#13712yes—
317C4×D11—41no—
318C4×D11—41no—
319C4×D11—41no—
320C4×D11—41no—
321C4×D11—84no—
322Dic22—41no—
323Dic22—41no—
324Dic22—41no—
325Dic22—41no—
326C8×C11—22no—
327C8×C11—41no—
328C11⋊C8—41no—
329C11⋊C8—41no—
330C2×C4⋊Q8—111no—
331C2×C22⋊Q8—111no—
332C2×C22⋊Q8—111no—
333C2×C22⋊Q8—111no—
334C2×C22⋊Q8C2×D1111yescharacteristic
335C2×C4×D4—111no—
336C2×C4×D4—221no—
337C22×C4⋊C4—111no—
338C22×C4⋊C4—111no—
339#483—224no—
340#483—224no—
341C2×#106—111no—
342C2×#106—111no—
343C2×#106—111no—
344C2×#106C2×D1111yescharacteristic
345C2×C4⋊C8—111no—
346C2×#103—111no—
347C2×#103—111no—
348C2×#103—111no—
349C2×#103—111no—
350C2×#103—111no—
351C2×#103—111no—
352C2×#103C2×D1111yescharacteristic
353C2×#103C2×D1111yescharacteristic
354C2×C22⋊C8—111no—
355C2×C22⋊C8—111no—
356C2×C22⋊C8—111no—
357C2×C22⋊C8C2×D1111yescharacteristic
358C2×C4×C8—111no—
359#399—221no—
360#399—221no—
361#390—221no—
362#389—221no—
363#385—221no—
364#385—221no—
365#384—111no—
366#384—221no—
367#380—111no—
368#380C2×D1111yescharacteristic
369C4×C4⋊C4—111no—
370C4×C4⋊C4—111no—
371#340—111no—
372#340—111no—
373#340—111no—
374#340C2×D1111yescharacteristic
375C22×C11—22no—
376C22×C11—22no—
377C22×C11—22no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11—41no—
381C22×C11—41no—
382C22×C11C2×#12311yescharacteristic
383C22×C11D4211yescharacteristic
384C22×C11#54611yescharacteristic
385C22×C11C22×SD1611yescharacteristic
386C22×C11C2×#13711yescharacteristic
387C22×C11#57711yescharacteristic
388C22×C11#57811yescharacteristic
389C2×D11—22no—
390C2×D11—22no—
391C2×D11—22no—
392C2×D11—41no—
393C2×D11—41no—
394C2×D11—41no—
395C2×D11—41no—
396C4×C11—42no—
397C4×C11—41no—
398C4×C11—81no—
399C4×C11—81no—
400C4×C11—81no—
401C4×C11#53211yescharacteristic
402C4×C11#54011yescharacteristic
403C4×C11#55011yescharacteristic
404C4×C11#55911yescharacteristic
405Dic11—22no—
406Dic11—41no—
407Dic11—42no—
408Dic11—42no—
409Dic11—81no—
410Dic11—81no—
411Dic11#48314yescomplemented
412C22×Q8—111no—
413C22×Q8C22×D1111yescharacteristic
414C22×D4—111no—
415C23×C4—111no—
416C23×C4—221no—
417C23×C4—221no—
418C23×C4C22×D1111yescharacteristic
419C22×C8—111no—
420C22×C8—111no—
421C22×C8C22×D1111yescharacteristic
422C22×C8C22×D1111yescharacteristic
423C4⋊Q8—222no—
424C4⋊Q8—222no—
425C22⋊Q8—22no—
426C22⋊Q8—41no—
427C22⋊Q8—222no—
428C22⋊Q8—222no—
429C22⋊Q8—222no—
430C22⋊Q8—441no—
431C22⋊Q8—441no—
432C22⋊Q8—441no—
433C4×D4—222no—
434C4×D4—222no—
435C4×D4—444no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—111no—
438C2×C4⋊C4—111no—
439C2×C4⋊C4—111no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—222no—
442C2×C4⋊C4—222no—
443C2×C4⋊C4—221no—
444C2×C4⋊C4—221no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4—221no—
447C2×C4⋊C4—221no—
448C2×C4⋊C4—221no—
449C2×C4⋊C4—221no—
450C2×C4⋊C4—221no—
451C2×C4⋊C4—221no—
452C2×C4⋊C4—441no—
453C2×C4⋊C4—441no—
454C2×C4⋊C4C22×D1111yescharacteristic
455C2×C4⋊C4C22×D1111yescharacteristic
456C2×C4⋊C4C22×D1111yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—111no—
460C2×C22⋊C4—111no—
461C2×C22⋊C4—221no—
462C2×C22⋊C4—221no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—221no—
465C2×C42—111no—
466C2×C42—221no—
467C2×C42—221no—
468#106—22no—
469#106—114no—
470#106—222no—
471#106—222no—
472C4⋊C8—222no—
473#103—22no—
474#103—41no—
475#103—222no—
476#103—222no—
477#103—222no—
478#103—441no—
479#103—441no—
480#103—441no—
481C22⋊C8—22no—
482C22⋊C8—222no—
483C22⋊C8—441no—
484C22⋊C8—441no—
485C4×C8—222no—
486#95—21no—
487#95—221no—
488#95—221no—
489#95—221no—
490C2×C11—42no—
491C2×C11#244511yescharacteristic
492C2×C11C2×#48311yescharacteristic
493C2×C11#309711yescharacteristic
494C2×C11#327611yescharacteristic
495C2×C11D4×SD1611yescharacteristic
496C2×C11#329811yescharacteristic
497C2×C11#333111yescharacteristic
498D11—42no—
499C24—111no—
500C24D4×D1111yescharacteristic
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—221no—
508C2×Q8—221no—
509C2×Q8—221no—
510C2×Q8—221no—
511C2×Q8—221no—
512C2×Q8—221no—
513C2×D4—114no—
514C2×D4—222no—
515C2×D4—222no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—111no—
527C22×C4—111no—
528C22×C4—111no—
529C22×C4—221no—
530C22×C4—221no—
531C22×C4—221no—
532C22×C4—221no—
533C22×C4—221no—
534C22×C4—221no—
535C22×C4—221no—
536C22×C4—221no—
537C22×C4—221no—
538C22×C4—221no—
539C22×C4—442no—
540C22×C4—442no—
541C22×C4—442no—
542C22×C4—442no—
543C22×C4—881no—
544C22×C4—881no—
545C22×C4D4×D1111yescharacteristic
546C22×C4C23×D1111yescharacteristic
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—221no—
553C2×C8—221no—
554C2×C8—221no—
555C2×C8—221no—
556C2×C8—221no—
557C2×C8—221no—
558C2×C8D4×D1112yes—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—42no—
565C4⋊C4—112no—
566C4⋊C4—112no—
567C4⋊C4—222no—
568C4⋊C4—221no—
569C4⋊C4—221no—
570C4⋊C4—221no—
571C4⋊C4—221no—
572C4⋊C4—442no—
573C4⋊C4—442no—
574C4⋊C4—442no—
575C4⋊C4—442no—
576C4⋊C4—442no—
577C4⋊C4—442no—
578C4⋊C4—442no—
579C4⋊C4—442no—
580C4⋊C4—881no—
581C4⋊C4#434112yes—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—222no—
585C22⋊C4—222no—
586C22⋊C4—442no—
587C22⋊C4—442no—
588C22⋊C4—442no—
589C22⋊C4—442no—
590C42—112no—
591C42—112no—
592C42—442no—
593C42—442no—
594C11#2623411yescharacteristic, complemented, Sylow
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—112no—
602C23—221no—
603C23—221no—
604C23—221no—
605C23—221no—
606C23—221no—
607C23—221no—
608C23SD16×D1112yes—
609C23C2×D4×D1111yescharacteristic
610Q8—41no—
611Q8—41no—
612Q8—41no—
613Q8—41no—
614Q8—441no—
615Q8—441no—
616Q8—441no—
617Q8—441no—
618D4—228no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—112no—
639C2×C4—112no—
640C2×C4—112no—
641C2×C4—112no—
642C2×C4—221no—
643C2×C4—221no—
644C2×C4—221no—
645C2×C4—222no—
646C2×C4—222no—
647C2×C4—221no—
648C2×C4—221no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—441no—
653C2×C4—441no—
654C2×C4—441no—
655C2×C4—441no—
656C2×C4—441no—
657C2×C4—441no—
658C2×C4—441no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4—441no—
663C2×C4—884no—
664C2×C4—884no—
665C2×C4C2×D4×D1111yescharacteristic
666C2×C4C2×#434111yescharacteristic
667C2×C4#6703711yescharacteristic
668C2×C4#41×D1111yescharacteristic
669C2×C4#41×D1111yescharacteristic
670C2×C4#6704211yescharacteristic
671C8—22no—
672C8—41no—
673C8—441no—
674C8—441no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—222no—
683C22—222no—
684C22—222no—
685C22—441no—
686C22—441no—
687C22—441no—
688C22—441no—
689C22#1062312211yescharacteristic
690C22#1062314011yescharacteristic
691C22D11×#12311yescharacteristic
692C22C2×SD16×D1111yescharacteristic
693C22#1062330111yescharacteristic
694C22D11×#13711yescharacteristic
695C22#1062331011yescharacteristic
696C4—42no—
697C4—41no—
698C4—81no—
699C4—81no—
700C4—81no—
701C4—114no—
702C4—222no—
703C4—442no—
704C4—442no—
705C4—441no—
706C4—881no—
707C4—881no—
708C4#1062312711yescharacteristic
709C4#1062313011yescharacteristic
710C4#1062319411yescharacteristic
711C4#1062321211yescharacteristic
712C2—42no—
713C2—442no—
714C2#1307237411yescharacteristic
715C2D11×#48311yescharacteristic
716C2#1307858211yescharacteristic
717C2#1308025911yescharacteristic
718C2#1308030911yescharacteristic
719C2#1308047411yescharacteristic
720C2#1308092511yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2035C2
socleC23×C11C22×D4
prime radicalC22×C22⋊D11D4
hypercenter#2035D11
hypocenterC11#26234
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ #2035

Complements

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

NH ≅ G/Ntype
1. C2×#10622334C2semidirect
2. C2×#10622418C2semidirect
5. #13069814C2semidirect
6. #13069812C2semidirect
7. #13069811C2semidirect
8. #13069537C2semidirect
9. #13069416C2semidirect
11. #13069378C2semidirect
12. #13068924C2semidirect
13. #13068922C2semidirect
14. #106×Dic11C2semidirect
15. C11×#2035C2semidirect
131. #66881D4semidirect
242. #2035D11semidirect
411. Dic11#483semidirect
594. C11#26234semidirect

Maximal subgroups

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

subgroupindex
C2×#106223342
C2×#106224182
#130735662
#130715122
#130698142
#130698122
#130698112
#130695372
#130694162
#130694082
#130693782
#130689242
#130689222
#106×Dic112
C11×#20352
#2623411