Finite Group Databasebeta

← #14771034

Subgroups — #14771034

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
1C2×#10622383C211yesmaximal, characteristic
2#13071505C211yesmaximal, characteristic, complemented
3D4×(C2×D11)⋊C4C211yesmaximal, characteristic
4#13069311C211yesmaximal, characteristic, complemented
5#13069299C211yesmaximal, characteristic, complemented
6#13069243C211yesmaximal, characteristic, complemented
7#13069234C211yesmaximal, characteristic, complemented
8#13068875C211yesmaximal, characteristic, complemented
9#13068863C211yesmaximal, characteristic, complemented
10#13068709C211yesmaximal, characteristic, complemented
11#13068648C211yesmaximal, characteristic, complemented
12#13068545C211yesmaximal, characteristic
13#13068443C211yesmaximal, characteristic, complemented
14#13068399C211yesmaximal, characteristic, complemented
15C4×C11×#102C211yesmaximal, characteristic, complemented
16C22×D4×D11C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×D4×Dic11C2211yescharacteristic
19C22×(C2×D11)⋊C4—21no—
20C22×#4313C2211yescharacteristic
21C2×#66945C2211yescharacteristic
22C2×C11×#102C2211yescharacteristic
23C2×C11×#102C2211yescharacteristic
24C2×C4×C8×C11C2211yescharacteristic, complemented
25C4×C11×C4⋊C4C2211yescharacteristic, complemented
26C2×#66896C2211yescharacteristic
27C2×#66896C2211yescharacteristic
28#10622826—21no—
29C2×#66885C2211yescharacteristic
30C2×#66885C2211yescharacteristic
31C2×(C2×D11)⋊C8C2211yescharacteristic
32C2×#66879C2211yescharacteristic, complemented
33#10622601C2211yescharacteristic
34#10622600C2211yescharacteristic
35#10622600C2211yescharacteristic
36C4⋊C4×Dic11C2211yescharacteristic, complemented
37#10622586C2211yescharacteristic, complemented
38C2×#66873C2211yescharacteristic
39C2×#66873C2211yescharacteristic
40C2×#66872C2211yescharacteristic, complemented
41C2×#66871C2211yescharacteristic, complemented
42#10622571—21no—
43#10622568—21no—
44#10622553—21no—
45#10622552C2211yescharacteristic
46C4×(C2×D11)⋊C4C2211yescharacteristic
47C4×Dic11⋊C4—21no—
48#10622541C2211yescharacteristic, complemented
49#10622383C418yescomplemented
50#10622282—21no—
51#10622264—21no—
52C11×#340C2211yescharacteristic, complemented
53C11×#340C2211yescharacteristic, complemented
54#10622189C2211yescharacteristic, complemented
55#10622189C2211yescharacteristic, complemented
56#10622188C2211yescharacteristic, complemented
57#10622167C2211yescharacteristic, complemented
58#10622167C2211yescharacteristic, complemented
59#10622162C2211yescharacteristic, complemented
60C24×D11—21no—
61C22×D4×C11C2311yescharacteristic
62C23×C4×C11—21no—
63C22×C22⋊D11—21no—
64C23×Dic11—21no—
65C2×D4×D11—22no—
66C2×D4×D11—22no—
67C2×D4×D11—22no—
68C2×D4×D11—41no—
69C2×D4×D11—41no—
70C2×D4×D11C2×C414yes—
71C22×D44C2311yescharacteristic
72C22×C4×D11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C4×D4×C11—22no—
76C4×D4×C11—41no—
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C22⋊C4—21no—
81C2×C42×C11—21no—
82C2×C42×C11C2311yescharacteristic
83C2×C22⋊Dic11—21no—
84D4×Dic11—22no—
85D4×Dic11—41no—
86C2×(C2×D11)⋊C4—21no—
87C2×(C2×D11)⋊C4—21no—
88C2×(C2×D11)⋊C4—21no—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×(C2×D11)⋊C4—44no—
94C2×(C2×D11)⋊C4D411yescharacteristic
95C2×(C2×D11)⋊C4D411yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×Dic11⋊C4—21no—
100C2×Dic11⋊C4—21no—
101C2×C4×Dic11—21no—
102C2×C4×Dic11—21no—
103C2×C4×Dic11C2311yescharacteristic
104C22×C11⋊C8C2311yescharacteristic
105C22×C11⋊C8C2311yescharacteristic
106C2×#4313—41no—
107C2×#4313—41no—
108C2×#4313C2×C414yescomplemented
109#66945—22no—
110#66945C2×C414yescomplemented
111C11×#102—22no—
112C11×#102C2×C414yes—
113C4×C8×C11—41no—
114C11×#95—21no—
115#66896—22no—
116#66896C2×C414yes—
117C11⋊#95—21no—
118C11⋊#95—21no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95D411yescharacteristic
123C11⋊#95D411yescharacteristic
124#66885—41no—
125#66885C2×C414yescomplemented
126(C2×D11)⋊C8—22no—
127#66879—41no—
128#66873—41no—
129#66873C2×C414yescomplemented
130#66872—41no—
131#66871—41no—
132#22580—111nomaximal, Sylow
133C24×C11—21no—
134C23×D11—21no—
135C23×D11—24no—
136C23×D11—42no—
137C23×D11—42no—
138C23×D11—42no—
139C23×D11—42no—
140C23×D11—81no—
141C23×D11—81no—
142C23×D11C2×D411yescharacteristic
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11C22×C412yes—
147C2×D4×C11#4112yes—
148C2×D4×C11#4112yes—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—42no—
153C22×C4×C11—42no—
154C22×C4×C11—81no—
155C22×C4×C11C2×D411yescharacteristic
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2411yescharacteristic
158C2×C22⋊D11—24no—
159C2×C22⋊D11—42no—
160C2×C22⋊D11—42no—
161C22×Dic11—21no—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11—42no—
165C22×Dic11—42no—
166C22×Dic11—81no—
167C22×Dic11C2×D411yescharacteristic
168C22×Dic11C2×D411yescharacteristic
169C22×Dic11C2×D411yescharacteristic
170D4×D11—28no—
171D4×D11—44no—
172D4×D11—44no—
173D4×D11—44no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—21no—
177C2×D44—21no—
178C2×D44—21no—
179C2×D44C22×C412yes—
180C2×C4×D11—21no—
181C2×C4×D11—21no—
182C2×C4×D11—21no—
183C2×C4×D11—21no—
184C2×C4×D11C22×C412yes—
185C2×C4×D11#4112yes—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11C22×C412yes—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4C22×C412yes—
198C11×C22⋊C4—42no—
199C42×C11—21no—
200C42×C11—21no—
201C42×C11—81no—
202C22⋊Dic11—42no—
203(C2×D11)⋊C4—24no—
204(C2×D11)⋊C4—22no—
205(C2×D11)⋊C4—41no—
206(C2×D11)⋊C4—42no—
207(C2×D11)⋊C4—42no—
208(C2×D11)⋊C4—42no—
209(C2×D11)⋊C4—81no—
210(C2×D11)⋊C4—81no—
211(C2×D11)⋊C4—81no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11C22×C412yes—
218Dic11⋊C4—42no—
219Dic11⋊C4—42no—
220C4×Dic11—24no—
221C4×Dic11—21no—
222C4×Dic11—21no—
223C4×Dic11—81no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8C22×C412yes—
230#4313—44no—
231C2×#418—111no—
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×#102D1111yescharacteristic, complemented
245#1753—111no—
246C23×C11—22no—
247C23×C11—22no—
248C23×C11—22no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11C22×D411yescharacteristic
254C22×D11—21no—
255C22×D11—21no—
256C22×D11—21no—
257C22×D11—21no—
258C22×D11—21no—
259C22×D11—21no—
260C22×D11—22no—
261C22×D11—48no—
262C22×D11—48no—
263C22×D11—41no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—84no—
270C22×D11—84no—
271C22×D11—84no—
272C22×D11—84no—
273C22×D11—84no—
274C22×D11C4×D412yes—
275D4×C11—22no—
276D4×C11—22no—
277D4×C11—22no—
278D4×C11#11714yes—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—22no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
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—84no—
294C2×C4×C11AGL(1,ℤ/8)12yes—
295C2×C4×C11C23×C411yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11H(5,𝔽2)11yescharacteristic
300C2×C4×C11H(5,𝔽2)11yescharacteristic
301C22⋊D11—48no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—22no—
305C2×Dic11—21no—
306C2×Dic11—21no—
307C2×Dic11—21no—
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—21no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—84no—
320C2×Dic11C4×D412yes—
321D44—22no—
322D44—22no—
323D44—41no—
324D44—41no—
325C4×D11—22no—
326C4×D11—22no—
327C4×D11—22no—
328C4×D11—22no—
329C8×C11—22no—
330C8×C11—41no—
331C11⋊C8—22no—
332C11⋊C8—41no—
333C23×D4—111no—
334C22×M16—111no—
335C2×C4×D4—111no—
336C2×C4×D4C2×D1111yescharacteristic
337C2×#117—111no—
338C22×C22⋊C4—221no—
339C2×#107—111no—
340C2×#106—111no—
341#418—118no—
342C2×#102—111no—
343C2×#102—111no—
344C2×#102—111no—
345C2×#102—111no—
346C2×#102—111no—
347C2×#102—111no—
348C2×#102C2×D1111yescharacteristic
349C2×#102C2×D1111yescharacteristic
350C2×C22⋊C8—111no—
351C2×#97—111no—
352C2×C4×C8C2×D1111yescharacteristic, complemented
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—221no—
367C4×C4⋊C4C2×D1111yescharacteristic, complemented
368C4×C22⋊C4—111no—
369#340—111no—
370#340—111no—
371#340—111no—
372#340—111no—
373#340C2×D1111yescharacteristic, complemented
374#340C2×D1111yescharacteristic, complemented
375#336—111no—
376#336—111no—
377C22×C11—24no—
378C22×C11—42no—
379C22×C11—42no—
380C22×C11—42no—
381C22×C11—42no—
382C22×C11—42no—
383C22×C11—42no—
384C22×C11C2×C4×D411yescharacteristic
385C22×C11#54611yescharacteristic
386C22×C11#54611yescharacteristic
387C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
388C22×C11#57511yescharacteristic
389C22×C11#57611yescharacteristic
390C22×C11#57711yescharacteristic
391C2×D11—22no—
392C2×D11—22no—
393C2×D11—22no—
394C2×D11—41no—
395C2×D11—41no—
396C2×D11—41no—
397C2×D11—41no—
398C2×D11—42no—
399C2×D11—42no—
400C2×D11—42no—
401C2×D11—816no—
402C2×D11—81no—
403C2×D11—81no—
404C2×D11—81no—
405C2×D11—81no—
406C4×C11—22no—
407C4×C11—42no—
408C4×C11—41no—
409C4×C11—81no—
410C4×C11—81no—
411C4×C11C2×#11711yescharacteristic
412C4×C11#51811yescharacteristic
413C4×C11#55111yescharacteristic
414C4×C11#55111yescharacteristic
415Dic11—22no—
416Dic11—42no—
417Dic11—41no—
418Dic11—41no—
419Dic11—81no—
420Dic11—81no—
421C25—221no—
422C22×D4—114no—
423C22×D4—111no—
424C22×D4—222no—
425C22×D4—221no—
426C22×D4—222no—
427C22×D4—222no—
428C22×D4—441no—
429C22×D4—441no—
430C22×D4C22×D1111yescharacteristic
431C23×C4—21no—
432C23×C4—111no—
433C23×C4—221no—
434C2×M16—114no—
435C2×M16—441no—
436C2×M16—441no—
437C22×C8—111no—
438C22×C8—111no—
439C22×C8C22×D1111yescharacteristic
440C22×C8C22×D1111yescharacteristic
441C4×D4—22no—
442C4×D4—41no—
443C4×D4—222no—
444C4×D4—441no—
445#117—114no—
446#117—222no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—221no—
451C2×C4⋊C4—221no—
452C2×C4⋊C4C22×D1111yescharacteristic
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—221no—
470C2×C42—221no—
471C2×C42C22×D1111yescharacteristic
472#107—441no—
473#106—441no—
474#102—22no—
475#102—114no—
476#102—114no—
477#102—114no—
478#102—222no—
479#102—441no—
480#102—441no—
481#102C4×D1114yes—
482C22⋊C8—222no—
483#97—441no—
484C4×C8—41no—
485#95—21no—
486#95—111no—
487#95—111no—
488#95—221no—
489#95—221no—
490#95—221no—
491#95—221no—
492#95—221no—
493C2×C11—44no—
494C2×C11#234211yescharacteristic
495C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
496C2×C11#294611yescharacteristic
497C2×C11#331111yescharacteristic
498C2×C11#331811yescharacteristic
499C2×C11#332211yescharacteristic
500C2×C11#332411yescharacteristic
501D11—42no—
502D11—82no—
503C24—21no—
504C24—111no—
505C24—224no—
506C24—221no—
507C24—442no—
508C24—442no—
509C24—442no—
510C24—442no—
511C24—881no—
512C24—881no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—112no—
517C2×D4—224no—
518C2×D4—228no—
519C2×D4—221no—
520C2×D4—221no—
521C2×D4—221no—
522C2×D4—221no—
523C2×D4—221no—
524C2×D4—444no—
525C2×D4—444no—
526C2×D4—444no—
527C2×D4—442no—
528C2×D4—442no—
529C2×D4C2×C4×D1112yes—
530C2×D4#433912yes—
531C2×D4#433912yes—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—81no—
538C22×C4—111no—
539C22×C4—112no—
540C22×C4—112no—
541C22×C4—111no—
542C22×C4—111no—
543C22×C4—221no—
544C22×C4—221no—
545C22×C4—221no—
546C22×C4—221no—
547C22×C4—221no—
548C22×C4—221no—
549C22×C4—221no—
550C22×C4—442no—
551C22×C4—442no—
552C22×C4—881no—
553C22×C4D4×D1111yescharacteristic
554C22×C4D4×D1111yescharacteristic
555C22×C4C23×D1111yescharacteristic
556M16—444no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—112no—
563C2×C8—221no—
564C2×C8—221no—
565C2×C8—221no—
566C2×C8—221no—
567C2×C8—221no—
568C2×C8C2×C4×D1112yes—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—112no—
575C4⋊C4—221no—
576C4⋊C4—221no—
577C4⋊C4—221no—
578C4⋊C4—221no—
579C4⋊C4—221no—
580C4⋊C4—442no—
581C4⋊C4—442no—
582C4⋊C4C2×C4×D1112yes—
583C22⋊C4—42no—
584C22⋊C4—224no—
585C22⋊C4—222no—
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—21no—
595C42—21no—
596C42—81no—
597C42—224no—
598C42—221no—
599C42—221no—
600C42—881no—
601C11#2258011yescharacteristic, complemented, Sylow
602C23—22no—
603C23—22no—
604C23—22no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—112no—
610C23—221no—
611C23—221no—
612C23—221no—
613C23—221no—
614C23—221no—
615C23—221no—
616C23—222no—
617C23—448no—
618C23—448no—
619C23—441no—
620C23—441no—
621C23—441no—
622C23—441no—
623C23—441no—
624C23—441no—
625C23—884no—
626C23—884no—
627C23—884no—
628C23—884no—
629C23—884no—
630C23C2×D4×D1111yescharacteristic
631D4—22no—
632D4—22no—
633D4—22no—
634D4—222no—
635D4—222no—
636D4—448no—
637D4—441no—
638D4—441no—
639D4#6692514yes—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—84no—
655C2×C4—112no—
656C2×C4—221no—
657C2×C4—221no—
658C2×C4—222no—
659C2×C4—222no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—221no—
663C2×C4—221no—
664C2×C4—221no—
665C2×C4—221no—
666C2×C4—222no—
667C2×C4—221no—
668C2×C4—221no—
669C2×C4—441no—
670C2×C4—441no—
671C2×C4—441no—
672C2×C4—441no—
673C2×C4—441no—
674C2×C4—441no—
675C2×C4—441no—
676C2×C4—441no—
677C2×C4—884no—
678C2×C4#6696712yes—
679C2×C4C22×C4×D1111yescharacteristic
680C2×C4C2×#433911yescharacteristic
681C2×C4C2×#433911yescharacteristic
682C2×C4#6703711yescharacteristic
683C2×C4#41×D1111yescharacteristic
684C2×C4#6704211yescharacteristic
685C8—22no—
686C8—41no—
687C8—222no—
688C8—441no—
689C22—24no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—222no—
697C22—222no—
698C22—222no—
699C22—441no—
700C22—441no—
701C22—441no—
702C22—441no—
703C22—442no—
704C22—442no—
705C22—442no—
706C22—8816no—
707C22—881no—
708C22—881no—
709C22—881no—
710C22—881no—
711C22#1062302111yescharacteristic
712C22C4×D4×D1111yescharacteristic
713C22#1062308111yescharacteristic
714C22#1062328811yescharacteristic
715C22C2×#6696711yescharacteristic
716C22#1062329911yescharacteristic
717C22#1062330111yescharacteristic
718C4—22no—
719C4—41no—
720C4—42no—
721C4—81no—
722C4—81no—
723C4—222no—
724C4—441no—
725C4—442no—
726C4—441no—
727C4—881no—
728C4—881no—
729C4C2×#6692511yescharacteristic
730C4#1062305811yescharacteristic
731C4#1062307611yescharacteristic
732C4#1062308711yescharacteristic
733C2—44no—
734C2—442no—
735C2—882no—
736C2#1307145911yescharacteristic
737C2C4×#6696711yescharacteristic
738C2#1307744111yescharacteristic
739C2#1308064811yescharacteristic
740C2#1308075311yescharacteristic
741C2#1308082211yescharacteristic
742C2#1308084911yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC4×C11×#102C2
socleC23×C11C22×D4
prime radicalC22×D4×D11C22
cosocleC22×C4×C11C24
hypercenterC4×#102D11
hypocenterC11#22580
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C4×#102

Complements

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

NH ≅ G/Ntype
2. #13071505C2semidirect
4. #13069311C2semidirect
5. #13069299C2semidirect
6. #13069243C2semidirect
7. #13069234C2semidirect
8. #13068875C2semidirect
9. #13068863C2semidirect
10. #13068709C2semidirect
11. #13068648C2semidirect
13. #13068443C2semidirect
14. #13068399C2semidirect
15. C4×C11×#102C2semidirect
24. C2×C4×C8×C11C22semidirect
25. C4×C11×C4⋊C4C22semidirect
32. C2×#66879C22semidirect
36. C4⋊C4×Dic11C22semidirect
37. #10622586C22semidirect
40. C2×#66872C22semidirect
41. C2×#66871C22semidirect
48. #10622541C22semidirect
49. #10622383C4semidirect
52. C11×#340C22semidirect
53. C11×#340C22semidirect
54. #10622189C22semidirect
55. #10622189C22semidirect
56. #10622188C22semidirect
57. #10622167C22semidirect
58. #10622167C22semidirect
59. #10622162C22semidirect
108. C2×#4313C2×C4semidirect
110. #66945C2×C4semidirect
125. #66885C2×C4semidirect
129. #66873C2×C4semidirect
244. C4×#102D11semidirect
352. C2×C4×C8C2×D11semidirect
367. C4×C4⋊C4C2×D11semidirect
373. #340C2×D11semidirect
374. #340C2×D11semidirect
601. C11#22580semidirect

Maximal subgroups

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

subgroupindex
C2×#106223832
#130715052
D4×(C2×D11)⋊C42
#130693112
#130692992
#130692432
#130692342
#130688752
#130688632
#130687092
#130686482
#130685452
#130684432
#130683992
C4×C11×#1022
#2258011