Finite Group Databasebeta

← #14774156

Subgroups — #14774156

Order 2816.

1134 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×#10622786C211yesmaximal, characteristic
2C2×#10622777C211yesmaximal, characteristic, complemented
3C2×#10622384C211yesmaximal, characteristic
4#13071626C211yesmaximal, characteristic, complemented
5#13071441C211yesmaximal, characteristic
6#13069476C211yesmaximal, characteristic, complemented
7#13069304C211yesmaximal, characteristic, complemented
8#13069258C211yesmaximal, characteristic, complemented
9#13069046C211yesmaximal, characteristic, complemented
10#13068955C211yesmaximal, characteristic, complemented
11#13068861C211yesmaximal, characteristic, complemented
12#13068805C211yesmaximal, characteristic, complemented
13C4×#66896C211yesmaximal, characteristic, complemented
14#13068396C211yesmaximal, characteristic, complemented
15C11×#1877C211yesmaximal, characteristic, complemented
16C22×#4341C2211yescharacteristic
17C22×C11×SD16C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C2×#66999C2211yescharacteristic
20C2×Q8×Dic11C2211yescharacteristic
21C22×#4326C2211yescharacteristic
22C2×D4×Dic11C2211yescharacteristic
23C22×#4313C2211yescharacteristic
24C2×C4⋊C4×D11C2211yescharacteristic
25C2×C11×#103C2211yescharacteristic
26C2×C11×#102C2211yescharacteristic
27C11×#391C2211yescharacteristic
28C2×#66899C2211yescharacteristic
29C2×#66896C2211yescharacteristic
30C2×#66896C2211yescharacteristic
31#10622826—21no—
32C2×C11⋊#95—21no—
33#10622786C418yescomplemented
34#10622777—24no—
35C2×(C2×D11)⋊C8C2211yescharacteristic
36C2×#66882C2211yescharacteristic
37C2×#66880C2211yescharacteristic
38C2×#66880C2211yescharacteristic
39C2×#66879C2211yescharacteristic
40#10622600C2211yescharacteristic
41#10622587C2211yescharacteristic
42#10622586C2211yescharacteristic
43C2×#66874C2211yescharacteristic
44C2×#66871C2211yescharacteristic
45#10622571—21no—
46#10622556—21no—
47C4×(C2×D11)⋊C4C2211yescharacteristic
48C4×C4⋊Dic11C2211yescharacteristic
49#10622542C2211yescharacteristic
50C2×C4×C11⋊C8C2211yescharacteristic
51#10622384—24no—
52#10622281—21no—
53#10622279—21no—
54#10622265—21no—
55#10622260—21no—
56C11×#340C2211yescharacteristic
57C11×#336C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622188C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11—21no—
65C22×C22⋊D11—21no—
66C23×Dic11—21no—
67C23×Dic11—21no—
68C2×#4341—22no—
69C2×#4341—22no—
70C2×#4341—22no—
71C2×#4341—41no—
72C2×#4341—41no—
73C2×#4341C2×C414yes—
74C22×C4×D11—21no—
75C22×C4×D11C2311yescharacteristic
76C22×Dic22C2311yescharacteristic
77C2×C11×SD16—22no—
78C2×C11×SD16—22no—
79C2×C11×SD16C2×C414yescomplemented
80C22×C8×C11C2311yescharacteristic
81C22×C8×C11C2311yescharacteristic
82C4×D4×C11—22no—
83C4×D4×C11—41no—
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C11×C4⋊C4C2311yescharacteristic
86C2×C11×C22⋊C4—21no—
87C2×C42×C11C2311yescharacteristic
88C2×C22⋊Dic11—21no—
89#66999—22no—
90#66999C2×C414yescomplemented
91Q8×Dic11—22no—
92Q8×Dic11—41no—
93C2×#4326—41no—
94C2×#4326—41no—
95C2×#4326C2×C414yescomplemented
96D4×Dic11—22no—
97D4×Dic11—41no—
98C2×(C2×D11)⋊C4—21no—
99C2×(C2×D11)⋊C4—21no—
100C2×(C2×D11)⋊C4D411yescharacteristic
101C2×(C2×D11)⋊C4D411yescharacteristic
102C2×C4⋊Dic11—21no—
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4⋊Dic11C2311yescharacteristic
106C2×Dic11⋊C4—21no—
107C2×Dic11⋊C4—21no—
108C2×Dic11⋊C4—21no—
109C2×C4×Dic11—21no—
110C2×C4×Dic11—21no—
111C2×C4×Dic11C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C2×#4313—22no—
115C2×#4313—22no—
116C2×#4313—41no—
117C4⋊C4×D11—22no—
118C4⋊C4×D11—41no—
119C11×#103—41no—
120C11×#102—22no—
121C11×#95—21no—
122C11×#95—21no—
123#66899—22no—
124#66896C2×C414yescomplemented
125#66896D414yes—
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C11⋊#95—21no—
132C11⋊#95—21no—
133C11⋊#95D411yescharacteristic
134C11⋊#95D411yescharacteristic
135(C2×D11)⋊C8C2×C414yescomplemented
136#66882—22no—
137#66880—22no—
138#66880C2×C414yescomplemented
139#66879—22no—
140#66874—22no—
141#66871—41no—
142C4×C11⋊C8—41no—
143#22862—111nomaximal, Sylow
144C24×C11—21no—
145C23×D11C2×D411yescharacteristic
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11—21no—
151C2×Q8×C11C22×C412yes—
152C2×D4×C11—21no—
153C2×D4×C11—21no—
154C2×D4×C11—21no—
155C2×D4×C11C22×C412yes—
156C2×D4×C11C2×D412yes—
157C2×D4×C11#4112yes—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—42no—
162C22×C4×C11—42no—
163C22×C4×C11—81no—
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2411yescharacteristic
167C2×C22⋊D11—24no—
168C2×C22⋊D11—42no—
169C2×C22⋊D11—42no—
170C22×Dic11—24no—
171C22×Dic11—21no—
172C22×Dic11—21no—
173C22×Dic11—21no—
174C22×Dic11—21no—
175C22×Dic11—42no—
176C22×Dic11—42no—
177C22×Dic11—42no—
178C22×Dic11—42no—
179C22×Dic11—81no—
180C22×Dic11C2×D411yescharacteristic
181C22×Dic11C2×D411yescharacteristic
182C22×Dic11C2×D411yescharacteristic
183#4341—28no—
184#4341—44no—
185#4341—44no—
186#4341—44no—
187C2×C4×D11—21no—
188C2×C4×D11—21no—
189C2×C4×D11—21no—
190C2×C4×D11—21no—
191C2×C4×D11—42no—
192C2×C4×D11—42no—
193C2×C4×D11—81no—
194C2×C4×D11C22×C412yes—
195C2×C4×D11#4112yes—
196C2×Dic22—21no—
197C2×Dic22—21no—
198C2×Dic22—21no—
199C2×Dic22—21no—
200C2×Dic22—21no—
201C2×Dic22C22×C412yes—
202C11×SD16—28no—
203C2×C8×C11—21no—
204C2×C8×C11—21no—
205C2×C8×C11—21no—
206C2×C8×C11—21no—
207C2×C8×C11—21no—
208C2×C8×C11C22×C412yes—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4—21no—
212C11×C4⋊C4—21no—
213C11×C22⋊C4—42no—
214C42×C11—21no—
215C42×C11—21no—
216C22⋊Dic11—42no—
217#4326—44no—
218(C2×D11)⋊C4—24no—
219(C2×D11)⋊C4—22no—
220(C2×D11)⋊C4—41no—
221(C2×D11)⋊C4—81no—
222C4⋊Dic11—21no—
223C4⋊Dic11—21no—
224C4⋊Dic11—21no—
225C4⋊Dic11—21no—
226C4⋊Dic11—42no—
227C4⋊Dic11C22×C412yes—
228C4⋊Dic11C2×D412yes—
229Dic11⋊C4—24no—
230Dic11⋊C4—42no—
231Dic11⋊C4—81no—
232C4×Dic11—21no—
233C4×Dic11—21no—
234C4×Dic11—42no—
235C4×Dic11—81no—
236C2×C11⋊C8—21no—
237C2×C11⋊C8—21no—
238C2×C11⋊C8—21no—
239C2×C11⋊C8—21no—
240C2×C11⋊C8C22×C412yes—
241C2×C11⋊C8C2×D412yes—
242#4313—44no—
243C2×#452—111no—
244C2×#440—111no—
245C2×#417—111no—
246#2360—111no—
247#2339—111no—
248#1969—111no—
249#1935—111no—
250#1928—111no—
251#1894—111no—
252#1878—111no—
253#1877D1111yescharacteristic, complemented
254#1862—111no—
255#1852—111no—
256C4×#102—111no—
257#1753—111no—
258C23×C11—22no—
259C23×C11—22no—
260C23×C11—22no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11—41no—
264C23×C11—41no—
265C23×C11C22×D411yescharacteristic
266C22×D11—21no—
267C22×D11—21no—
268C22×D11—21no—
269C22×D11—21no—
270C22×D11—21no—
271C22×D11—21no—
272C22×D11C4×D412yes—
273Q8×C11—22no—
274Q8×C11—22no—
275Q8×C11—41no—
276Q8×C11—41no—
277D4×C11—22no—
278D4×C11—22no—
279D4×C11—22no—
280D4×C11C4×D414yes—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—22no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—84no—
296C2×C4×C11#13712yes—
297C2×C4×C11C23×C411yescharacteristic
298C2×C4×C11C22×D411yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11H(5,𝔽2)11yescharacteristic
302C2×C4×C11H(5,𝔽2)11yescharacteristic
303C22⋊D11—48no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—22no—
311C2×Dic11—21no—
312C2×Dic11—21no—
313C2×Dic11—21no—
314C2×Dic11—21no—
315C2×Dic11—48no—
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—84no—
326C2×Dic11C4×D412yes—
327C4×D11—22no—
328C4×D11—22no—
329C4×D11—22no—
330C4×D11—22no—
331C4×D11—84no—
332Dic22—22no—
333Dic22—22no—
334Dic22—41no—
335Dic22—41no—
336C8×C11—22no—
337C8×C11—41no—
338C11⋊C8—22no—
339C11⋊C8—22no—
340C22×#41—111no—
341C22×Q16—111no—
342C22×SD16C2×D1111yescharacteristic
343C22×M16—111no—
344C2×C22⋊Q8—111no—
345C2×C4×Q8—111no—
346C2×C4×D4—111no—
347C2×C4×D4C2×D1111yescharacteristic
348C22×C4⋊C4—111no—
349#452—118no—
350#440—224no—
351C2×#107—111no—
352C2×#107—111no—
353#417—224no—
354C2×#103—111no—
355C2×#103—111no—
356C2×#103—111no—
357C2×#103—111no—
358C2×#103C2×D1111yescharacteristic
359C2×#102—111no—
360C2×#102—111no—
361C2×#102C2×D1111yescharacteristic
362C2×C22⋊C8—111no—
363C2×#97—111no—
364C2×C4×C8—111no—
365#391—111no—
366#391—111no—
367#391C2×D1111yescharacteristic
368#389—111no—
369#389—221no—
370#387—221no—
371#386—221no—
372#386—221no—
373#385—221no—
374#381—221no—
375#380—111no—
376C4×C4⋊C4—111no—
377C4×C22⋊C4—111no—
378C4×C22⋊C4—221no—
379C2×#95—221no—
380#340—111no—
381#340—111no—
382#340—111no—
383#340C2×D1111yescharacteristic
384#336—111no—
385#336C2×D1111yescharacteristic
386C22×C11—24no—
387C22×C11—42no—
388C22×C11—42no—
389C22×C11—42no—
390C22×C11—42no—
391C22×C11—42no—
392C22×C11—42no—
393C22×C11C2×C4×D411yescharacteristic
394C22×C11D4211yescharacteristic
395C22×C11#54611yescharacteristic
396C22×C11C2×#13711yescharacteristic
397C22×C11#57511yescharacteristic
398C22×C11#57611yescharacteristic
399C22×C11#57811yescharacteristic
400C2×D11—22no—
401C2×D11—22no—
402C2×D11—22no—
403C2×D11—41no—
404C2×D11—41no—
405C2×D11—41no—
406C2×D11—41no—
407C4×C11—22no—
408C4×C11—42no—
409C4×C11—41no—
410C4×C11—81no—
411C4×C11—81no—
412C4×C11C2×C4×D411yescharacteristic
413C4×C11#51811yescharacteristic
414C4×C11#54611yescharacteristic
415C4×C11#55111yescharacteristic
416Dic11—22no—
417Dic11—42no—
418Dic11—42no—
419Dic11—42no—
420Dic11—41no—
421Dic11—41no—
422Dic11—81no—
423C2×#41—114no—
424C2×#41—222no—
425C2×#41—222no—
426C2×#41—222no—
427C2×#41—441no—
428C2×#41—441no—
429C22×Q8—111no—
430C22×Q8C22×D1111yescharacteristic
431C22×D4—221no—
432C22×D4C22×D1111yescharacteristic
433C23×C4—21no—
434C23×C4—111no—
435C23×C4—221no—
436C23×C4—221no—
437C23×C4—221no—
438C2×Q16—114no—
439C2×Q16—441no—
440C2×Q16—441no—
441C2×SD16—22no—
442C2×SD16—22no—
443C2×SD16C4×D1114yescomplemented
444C2×M16—222no—
445C2×M16—222no—
446C2×M16—441no—
447C22×C8—111no—
448C22×C8—111no—
449C22×C8C22×D1111yescharacteristic
450C22×C8C22×D1111yescharacteristic
451C22⋊Q8—114no—
452C22⋊Q8—222no—
453C4×Q8—222no—
454C4×Q8—441no—
455C4×D4—22no—
456C4×D4—41no—
457C4×D4—222no—
458C4×D4—441no—
459C2×C4⋊C4—111no—
460C2×C4⋊C4—111no—
461C2×C4⋊C4—111no—
462C2×C4⋊C4—222no—
463C2×C4⋊C4—221no—
464C2×C4⋊C4—221no—
465C2×C4⋊C4—221no—
466C2×C4⋊C4—221no—
467C2×C4⋊C4—441no—
468C2×C4⋊C4C22×D1111yescharacteristic
469C2×C4⋊C4C22×D1111yescharacteristic
470C2×C22⋊C4—21no—
471C2×C22⋊C4—111no—
472C2×C22⋊C4—111no—
473C2×C22⋊C4—221no—
474C2×C22⋊C4—221no—
475C2×C22⋊C4—221no—
476C2×C42—111no—
477C2×C42—221no—
478C2×C42—221no—
479C2×C42C22×D1111yescharacteristic
480#107—222no—
481#107—441no—
482#103—41no—
483#103—114no—
484#103—222no—
485#103—222no—
486#103—222no—
487#102—22no—
488#102—114no—
489#102—114no—
490C22⋊C8—114no—
491#97—222no—
492C4×C8—441no—
493#95—21no—
494#95—21no—
495#95—111no—
496#95—111no—
497#95—221no—
498#95—221no—
499#95—221no—
500#95—221no—
501#95—221no—
502#95—221no—
503#95—221no—
504C2×C11—44no—
505C2×C11#235811yescharacteristic
506C2×C11C4×#13711yescharacteristic
507C2×C11#295111yescharacteristic
508C2×C11#327311yescharacteristic
509C2×C11#327611yescharacteristic
510C2×C11#331411yescharacteristic
511C2×C11#331511yescharacteristic
512D11—42no—
513C24—21no—
514C24—111no—
515#41—228no—
516#41—444no—
517#41—444no—
518#41—444no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—112no—
525C2×Q8—221no—
526C2×Q8—221no—
527C2×Q8—221no—
528C2×Q8—221no—
529C2×Q8—221no—
530C2×Q8C2×C4×D1112yes—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—224no—
535C2×D4—442no—
536C2×D4—442no—
537C2×D4C2×C4×D1112yes—
538C2×D4D4×D1112yes—
539C2×D4#434112yes—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—42no—
544C22×C4—42no—
545C22×C4—81no—
546C22×C4—111no—
547C22×C4—112no—
548C22×C4—112no—
549C22×C4—111no—
550C22×C4—111no—
551C22×C4—224no—
552C22×C4—221no—
553C22×C4—221no—
554C22×C4—221no—
555C22×C4—221no—
556C22×C4—221no—
557C22×C4—221no—
558C22×C4—221no—
559C22×C4—221no—
560C22×C4—442no—
561C22×C4—442no—
562C22×C4—442no—
563C22×C4—442no—
564C22×C4—442no—
565C22×C4—442no—
566C22×C4—881no—
567C22×C4—881no—
568C22×C4D4×D1111yescharacteristic
569C22×C4D4×D1111yescharacteristic
570C22×C4C23×D1111yescharacteristic
571Q16—444no—
572SD16—28no—
573M16—444no—
574C2×C8—21no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—112no—
580C2×C8—112no—
581C2×C8—221no—
582C2×C8—221no—
583C2×C8—221no—
584C2×C8—221no—
585C2×C8C2×C4×D1112yes—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—112no—
591C4⋊C4—112no—
592C4⋊C4—224no—
593C4⋊C4—221no—
594C4⋊C4—221no—
595C4⋊C4—221no—
596C4⋊C4—221no—
597C4⋊C4—442no—
598C4⋊C4—442no—
599C4⋊C4—881no—
600C22⋊C4—42no—
601C22⋊C4—224no—
602C22⋊C4—222no—
603C22⋊C4—441no—
604C22⋊C4—442no—
605C22⋊C4—881no—
606C42—21no—
607C42—21no—
608C42—221no—
609C42—221no—
610C42—442no—
611C42—881no—
612C11#2286211yescharacteristic, complemented, Sylow
613C23—22no—
614C23—22no—
615C23—22no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—112no—
621C23—221no—
622C23—221no—
623C23—221no—
624C23—221no—
625C23—221no—
626C23—221no—
627C23C2×D4×D1111yescharacteristic
628Q8—22no—
629Q8—22no—
630Q8—41no—
631Q8—41no—
632Q8—222no—
633Q8—222no—
634Q8—441no—
635Q8—441no—
636D4—22no—
637D4—22no—
638D4—22no—
639D4—448no—
640D4(C22⋊D11)⋊C414yes—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—21no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—84no—
656C2×C4—112no—
657C2×C4—221no—
658C2×C4—221no—
659C2×C4—222no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—222no—
663C2×C4—221no—
664C2×C4—221no—
665C2×C4—221no—
666C2×C4—221no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—221no—
670C2×C4—221no—
671C2×C4—222no—
672C2×C4—448no—
673C2×C4—441no—
674C2×C4—441no—
675C2×C4—441no—
676C2×C4—441no—
677C2×C4—441no—
678C2×C4—441no—
679C2×C4—441no—
680C2×C4—441no—
681C2×C4—441no—
682C2×C4—884no—
683C2×C4—884no—
684C2×C4#6696812yes—
685C2×C4C22×C4×D1111yescharacteristic
686C2×C4C2×D4×D1111yescharacteristic
687C2×C4C2×#434111yescharacteristic
688C2×C4#6703711yescharacteristic
689C2×C4#41×D1111yescharacteristic
690C2×C4#6704211yescharacteristic
691C8—22no—
692C8—41no—
693C8—222no—
694C8—222no—
695C22—24no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—222no—
703C22—222no—
704C22—222no—
705C22—441no—
706C22—441no—
707C22—441no—
708C22—441no—
709C22C4×D4×D1111yescharacteristic
710C22#1062312211yescharacteristic
711C22#1062314011yescharacteristic
712C22C2×#6696811yescharacteristic
713C22#1062329911yescharacteristic
714C22#1062330511yescharacteristic
715C22#1062331011yescharacteristic
716C4—22no—
717C4—41no—
718C4—42no—
719C4—81no—
720C4—81no—
721C4—222no—
722C4—441no—
723C4—442no—
724C4—441no—
725C4—442no—
726C4—442no—
727C4—881no—
728C4C2×(C22⋊D11)⋊C411yescharacteristic
729C4#1062307611yescharacteristic
730C4#1062314111yescharacteristic
731C4#1062318911yescharacteristic
732C2—44no—
733C2—442no—
734C2#1307159611yescharacteristic
735C2C4×#6696811yescharacteristic
736C2#1307748811yescharacteristic
737C2#1308022211yescharacteristic
738C2#1308026511yescharacteristic
739C2#1308070111yescharacteristic
740C2#1308071611yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1877C2
socleC23×C11C22×D4
prime radicalC22×#4341C22
cosocleC22×C4×C11C24
hypercenter#1877D11
hypocenterC11#22862
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1877

Complements

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

NH ≅ G/Ntype
2. C2×#10622777C2semidirect
4. #13071626C2semidirect
6. #13069476C2semidirect
7. #13069304C2semidirect
8. #13069258C2semidirect
9. #13069046C2semidirect
10. #13068955C2semidirect
11. #13068861C2semidirect
12. #13068805C2semidirect
13. C4×#66896C2semidirect
14. #13068396C2semidirect
15. C11×#1877C2semidirect
33. #10622786C4semidirect
79. C2×C11×SD16C2×C4semidirect
90. #66999C2×C4semidirect
95. C2×#4326C2×C4semidirect
124. #66896C2×C4semidirect
135. (C2×D11)⋊C8C2×C4semidirect
138. #66880C2×C4semidirect
253. #1877D11semidirect
443. C2×SD16C4×D11semidirect
612. C11#22862semidirect

Maximal subgroups

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

subgroupindex
C2×#106227862
C2×#106227772
C2×#106223842
#130716262
#130714412
#130694762
#130693042
#130692582
#130690462
#130689552
#130688612
#130688052
C4×#668962
#130683962
C11×#18772
#2286211