Finite Group Databasebeta

← #14770183

Subgroups — #14770183

Order 2816.

1130 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623072C211yesmaximal, characteristic
2#13071545C211yesmaximal, characteristic
3#13069581C211yesmaximal, characteristic, complemented
4#13069571C211yesmaximal, characteristic, complemented
5#13069049C211yesmaximal, characteristic, complemented
6#13069049C211yesmaximal, characteristic, complemented
7#13068926C211yesmaximal, characteristic, complemented
8#13068921C211yesmaximal, characteristic, complemented
9#13068712C211yesmaximal, characteristic, complemented
10#13068707C211yesmaximal, characteristic, complemented
11#13068632C211yesmaximal, characteristic, complemented
12C4×#66880C211yesmaximal, characteristic, complemented
13#13068336C211yesmaximal, characteristic, complemented
14#13068336C211yesmaximal, characteristic, complemented
15C2×C11×#436C211yesmaximal, characteristic
16C22×C11×M16C2211yescharacteristic
17C22×C11×M16C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C2×#66988—21no—
20C2×#66979C2211yescharacteristic
21C2×#66979C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23C22×C4⋊Dic11C2211yescharacteristic
24C2×#66977C2211yescharacteristic
25C2×#66977C2211yescharacteristic
26#10623072—24no—
27#10623072C418yescomplemented
28C2×#66942—21no—
29C2×#66932—21no—
30C2×#66930—21no—
31C2×#66923C2211yescharacteristic
32C2×C4×Dic22C2211yescharacteristic
33C11×#436—24no—
34C2×C11×C4⋊C8C2211yescharacteristic
35C2×C11×C22⋊C8C2211yescharacteristic
36C2×C11×C22⋊C8C2211yescharacteristic
37C2×C4×C8×C11C2211yescharacteristic
38#10622833—21no—
39#10622825C2211yescharacteristic
40#10622825C2211yescharacteristic
41C2×#66880C2211yescharacteristic
42C2×#66880C2211yescharacteristic
43C2×#66880C2211yescharacteristic
44C2×#66880C2211yescharacteristic
45#10622594—21no—
46#10622564—21no—
47C22⋊C4×Dic11—21no—
48#10622549C2211yescharacteristic
49C4×C4⋊Dic11C2211yescharacteristic
50#10622189C2211yescharacteristic
51#10622189C2211yescharacteristic
52#10622189C2211yescharacteristic
53#10622189C2211yescharacteristic
54#10622189C2211yescharacteristic
55#10622189C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622189C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622189C2211yescharacteristic
60#10622189C2211yescharacteristic
61#10622189C2211yescharacteristic
62C22×D4×C11D411yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C23×C4×C11C2311yescharacteristic
65C23×Dic11—21no—
66C23×Dic11—21no—
67C22×Dic22C2311yescharacteristic
68C2×C11×M16—22no—
69C2×C11×M16—22no—
70C2×C11×M16—22no—
71C2×C11×M16—22no—
72C2×C11×M16—41no—
73C2×C11×M16—41no—
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C4×D4×C11C2×C414yes—
79C4×D4×C11D414yes—
80C2×C11×C4⋊C4D411yescharacteristic
81C2×C11×C22⋊C4D411yescharacteristic
82C2×C11×C22⋊C4D411yescharacteristic
83C2×C42×C11C2311yescharacteristic
84C2×C22⋊Dic11—21no—
85C2×C22⋊Dic11—21no—
86C2×C22⋊Dic11—21no—
87C2×C22⋊Dic11—21no—
88C2×C22⋊Dic11—21no—
89C2×C22⋊Dic11—21no—
90#66988—28no—
91#66979—22no—
92#66979—22no—
93#66979—41no—
94#66979C2×C414yes—
95C2×C4⋊Dic11—21no—
96C2×C4⋊Dic11—22no—
97C2×C4⋊Dic11—22no—
98C2×C4⋊Dic11—21no—
99C2×C4⋊Dic11—41no—
100C2×C4⋊Dic11C2×C414yescomplemented
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4⋊Dic11C2311yescharacteristic
106C2×C4⋊Dic11C2311yescharacteristic
107C2×C4⋊Dic11C2311yescharacteristic
108#66977—22no—
109#66977—22no—
110#66977C2×C414yes—
111#66977C2×C414yescomplemented
112C2×Dic11⋊C4—21no—
113C2×Dic11⋊C4—21no—
114C2×Dic11⋊C4—21no—
115C2×Dic11⋊C4—21no—
116C2×Dic11⋊C4—21no—
117C2×C4×Dic11—21no—
118C2×C4×Dic11—21no—
119C2×C4×Dic11—21no—
120C2×C4×Dic11—21no—
121#66942—28no—
122#66932—28no—
123#66930—28no—
124#66923—22no—
125#66923C2×C414yescomplemented
126C4×Dic22—22no—
127C4×Dic22C2×C414yescomplemented
128C11×C4⋊C8—22no—
129C11×C22⋊C8—22no—
130C11×C22⋊C8—22no—
131C4×C8×C11—22no—
132C11⋊#95—21no—
133C11⋊#95—21no—
134C11⋊#95—21no—
135C11⋊#95—21no—
136C11⋊#95—21no—
137#66880—22no—
138#66880—22no—
139#66880—41no—
140#66880—41no—
141#22499—111nomaximal, Sylow
142C24×C11C2×D411yescharacteristic
143C24×C11C2×D411yescharacteristic
144C2×D4×C11—41no—
145C2×D4×C11—41no—
146C2×D4×C11C22⋊C414yes—
147C22×C4×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×C11C22×C412yes—
156C22×C4×C11C22×C412yes—
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D412yes—
162C22×C4×C11C2×D412yes—
163C22×C4×C11C2411yescharacteristic
164C22×Dic11—24no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—21no—
170C22×Dic11—21no—
171C22×Dic11—21no—
172C22×Dic11—21no—
173C22×Dic11—42no—
174C22×Dic11—42no—
175C22×Dic11—42no—
176C22×Dic11—42no—
177C22×Dic11—81no—
178C2×Dic22—21no—
179C2×Dic22—21no—
180C2×Dic22—21no—
181C2×Dic22—21no—
182C2×Dic22—21no—
183C2×Dic22C22×C412yes—
184C11×M16—44no—
185C11×M16—44no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11—21no—
197C2×C8×C11#4112yes—
198C11×C4⋊C4C22⋊C414yes—
199C11×C22⋊C4C22⋊C414yes—
200C11×C22⋊C4C22⋊C414yes—
201C42×C11C22×C412yes—
202C42×C11C2×D412yes—
203C22⋊Dic11—24no—
204C22⋊Dic11—24no—
205C22⋊Dic11—24no—
206C22⋊Dic11—42no—
207C22⋊Dic11—42no—
208C22⋊Dic11—81no—
209C4⋊Dic11—24no—
210C4⋊Dic11—21no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11—42no—
221C4⋊Dic11C22×C412yes—
222C4⋊Dic11C22×C412yes—
223C4⋊Dic11C22×C412yes—
224C4⋊Dic11#4112yes—
225Dic11⋊C4—24no—
226Dic11⋊C4—24no—
227Dic11⋊C4—24no—
228Dic11⋊C4—24no—
229Dic11⋊C4—24no—
230C4×Dic11—24no—
231C4×Dic11—24no—
232C4×Dic11—42no—
233C4×Dic11—81no—
234C2×#552—111no—
235C2×#436D1111yescharacteristic
236#2352—111no—
237#1991—111no—
238#1989—111no—
239#1894—111no—
240#1894—111no—
241#1873—111no—
242#1872—111no—
243#1825—111no—
244#1824—111no—
245#1805—111no—
246C4×#103—111no—
247#1736—111no—
248#1736—111no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11—21no—
257C23×C11—21no—
258C23×C11—21no—
259C23×C11—21no—
260C23×C11—21no—
261C23×C11C2×C22⋊C412yes—
262C23×C11C2×C22⋊C412yes—
263C23×C11C22×D411yescharacteristic
264D4×C11—44no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11C2×C22⋊C412yes—
282C2×C4×C11C2×C22⋊C412yes—
283C2×C4×C11C2×C22⋊C412yes—
284C2×C4×C11C2×C22⋊C412yes—
285C2×C4×C11C23×C411yescharacteristic
286C2×C4×C11C22×D411yescharacteristic
287C2×C4×C11C2×#4111yescharacteristic
288C2×C4×C11C2×#4111yescharacteristic
289C2×C4×C11H(5,𝔽2)11yescharacteristic
290C2×C4×C112−1+411yescharacteristic
291C2×Dic11—22no—
292C2×Dic11—22no—
293C2×Dic11—22no—
294C2×Dic11—22no—
295C2×Dic11—22no—
296C2×Dic11—48no—
297C2×Dic11—41no—
298C2×Dic11—41no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
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—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—84no—
317Dic22—22no—
318Dic22—22no—
319Dic22—41no—
320Dic22—41no—
321C8×C11—22no—
322C8×C11—41no—
323C8×C11—41no—
324C8×C11—41no—
325C22×M16C2×D1111yescharacteristic
326C22×M16C2×D1111yescharacteristic
327#552—118no—
328#552—224no—
329C2×#126—221no—
330C2×#125—111no—
331C2×#125—221no—
332C2×#123—221no—
333C2×C22⋊Q8—111no—
334C2×C22⋊Q8—111no—
335C2×C4×Q8—111no—
336C2×C4×D4C2×D1111yescharacteristic
337C2×#117—111no—
338C2×#117—111no—
339C2×#117—221no—
340C22×C4⋊C4—111no—
341C22×C4⋊C4—111no—
342#436—24no—
343C2×C4⋊C8C2×D1111yescharacteristic
344C2×#103—111no—
345C2×#103—111no—
346C2×#103—111no—
347C2×#103—111no—
348C2×C22⋊C8C2×D1111yescharacteristic
349C2×C22⋊C8C2×D1111yescharacteristic
350C2×C4×C8C2×D1111yescharacteristic
351#388—221no—
352#387—221no—
353#386—221no—
354#382—111no—
355#380—111no—
356#380—111no—
357C4×C4⋊C4—111no—
358C4×C22⋊C4—221no—
359#340—111no—
360#340—111no—
361#340—111no—
362#340—111no—
363#340—111no—
364#340—111no—
365#340—111no—
366#340—111no—
367#340—111no—
368#340—111no—
369#340—111no—
370#340—111no—
371C22×C11—22no—
372C22×C11—22no—
373C22×C11—22no—
374C22×C11—22no—
375C22×C11—22no—
376C22×C11—22no—
377C22×C11—41no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11—41no—
381C22×C11—41no—
382C22×C11—41no—
383C22×C11—41no—
384C22×C11—41no—
385C22×C11C22×C22⋊C411yescharacteristic
386C22×C11#54611yescharacteristic
387C22×C11#54711yescharacteristic
388C22×C11#57511yescharacteristic
389C22×C11#57511yescharacteristic
390C22×C11#57711yescharacteristic
391C22×C11#57811yescharacteristic
392C4×C11—22no—
393C4×C11—22no—
394C4×C11—22no—
395C4×C11—22no—
396C4×C11C4×#4111yescharacteristic
397C4×C11#52011yescharacteristic
398C4×C11#54611yescharacteristic
399C4×C11#54711yescharacteristic
400Dic11—42no—
401Dic11—42no—
402Dic11—42no—
403Dic11—42no—
404Dic11—42no—
405Dic11—81no—
406Dic11—81no—
407Dic11—81no—
408C22×Q8—111no—
409C22×D4D4411yescharacteristic
410C23×C4—221no—
411C23×C4—221no—
412C23×C4C22×D1111yescharacteristic
413C23×C4C22×D1111yescharacteristic
414C2×M16—22no—
415C2×M16—22no—
416C2×M16—22no—
417C2×M16—22no—
418C2×M16—41no—
419C2×M16—41no—
420C22×C8C22×D1111yescharacteristic
421C22×C8C22×D1111yescharacteristic
422C22×C8C22×D1111yescharacteristic
423C22×C8C22×D1111yescharacteristic
424#126—228no—
425#125—114no—
426#125—228no—
427#125—222no—
428#123—228no—
429C22⋊Q8—114no—
430C22⋊Q8—114no—
431C22⋊Q8—222no—
432C22⋊Q8—222no—
433C4×Q8—114no—
434C4×Q8—222no—
435C4×D4C4×D1114yes—
436C4×D4C22⋊D1114yes—
437#117—114no—
438#117—222no—
439#117—228no—
440#117—222no—
441#117—441no—
442C2×C4⋊C4—114no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—222no—
451C2×C4⋊C4—221no—
452C2×C4⋊C4—221no—
453C2×C4⋊C4—221no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4—222no—
458C2×C4⋊C4—221no—
459C2×C4⋊C4—441no—
460C2×C4⋊C4D4411yescharacteristic
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⋊C4D4411yescharacteristic
468C2×C22⋊C4D4411yescharacteristic
469C2×C42—221no—
470C2×C42—221no—
471C2×C42—221no—
472C2×C42—221no—
473C2×C42C22×D1111yescharacteristic
474C4⋊C8—22no—
475#103—222no—
476#103—222no—
477#103—441no—
478#103—441no—
479C22⋊C8—22no—
480C22⋊C8—22no—
481C4×C8—22no—
482#95—221no—
483#95—221no—
484#95—221no—
485#95—221no—
486#95—221no—
487C2×C11—42no—
488C2×C11—42no—
489C2×C11#233911yescharacteristic
490C2×C11#289611yescharacteristic
491C2×C11#289811yescharacteristic
492C2×C11#332311yescharacteristic
493C2×C11#332711yescharacteristic
494C2×C11#335111yescharacteristic
495C2×C11#335211yescharacteristic
496C24C2×D4411yescharacteristic
497C24C2×D4411yescharacteristic
498C2×Q8—112no—
499C2×Q8—221no—
500C2×Q8—221no—
501C2×Q8—221no—
502C2×Q8—221no—
503C2×Q8—221no—
504C2×D4—41no—
505C2×D4—41no—
506C2×D4(C2×D11)⋊C414yes—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—224no—
516C22×C4—221no—
517C22×C4—221no—
518C22×C4—221no—
519C22×C4—221no—
520C22×C4—221no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4—221no—
524C22×C4—442no—
525C22×C4—442no—
526C22×C4—442no—
527C22×C4—442no—
528C22×C4—881no—
529C22×C4C2×C4×D1112yes—
530C22×C4C2×C4×D1112yes—
531C22×C4C2×D4411yescharacteristic
532C22×C4C2×D4411yescharacteristic
533C22×C4C2×D4411yescharacteristic
534C22×C4C2×D4411yescharacteristic
535C22×C4C2×C22⋊D1112yes—
536C22×C4C2×C22⋊D1112yes—
537C22×C4C23×D1111yescharacteristic
538M16—44no—
539M16—44no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8#434112yes—
552C4⋊C4—112no—
553C4⋊C4—112no—
554C4⋊C4—112no—
555C4⋊C4—112no—
556C4⋊C4—224no—
557C4⋊C4—224no—
558C4⋊C4—224no—
559C4⋊C4—224no—
560C4⋊C4—224no—
561C4⋊C4—224no—
562C4⋊C4—221no—
563C4⋊C4—221no—
564C4⋊C4—221no—
565C4⋊C4—221no—
566C4⋊C4—221no—
567C4⋊C4—221no—
568C4⋊C4—221no—
569C4⋊C4—221no—
570C4⋊C4—221no—
571C4⋊C4—221no—
572C4⋊C4—442no—
573C4⋊C4(C2×D11)⋊C414yes—
574C22⋊C4—224no—
575C22⋊C4—224no—
576C22⋊C4—224no—
577C22⋊C4—442no—
578C22⋊C4—442no—
579C22⋊C4—881no—
580C22⋊C4(C2×D11)⋊C414yes—
581C22⋊C4(C2×D11)⋊C414yes—
582C42—224no—
583C42—224no—
584C42—442no—
585C42—881no—
586C42C2×C4×D1112yes—
587C42C2×C22⋊D1112yes—
588C11#2249911yescharacteristic, complemented, Sylow
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23C2×(C2×D11)⋊C412yes—
602C23C2×(C2×D11)⋊C412yes—
603C23C22×D4411yescharacteristic
604Q8—222no—
605Q8—222no—
606Q8—441no—
607Q8—441no—
608D4—44no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—222no—
626C2×C4—222no—
627C2×C4—222no—
628C2×C4—222no—
629C2×C4—222no—
630C2×C4—448no—
631C2×C4—441no—
632C2×C4—441no—
633C2×C4—441no—
634C2×C4—441no—
635C2×C4—441no—
636C2×C4—441no—
637C2×C4—441no—
638C2×C4—441no—
639C2×C4—441no—
640C2×C4—441no—
641C2×C4—441no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—884no—
651C2×C4C2×(C2×D11)⋊C412yes—
652C2×C4C2×(C2×D11)⋊C412yes—
653C2×C4C2×(C2×D11)⋊C412yes—
654C2×C4C2×(C2×D11)⋊C412yes—
655C2×C4C22×C4×D1111yescharacteristic
656C2×C4C2×#434111yescharacteristic
657C2×C4#6703711yescharacteristic
658C2×C4#41×D1111yescharacteristic
659C2×C4#6704311yescharacteristic
660C2×C4C22×C22⋊D1111yescharacteristic
661C8—22no—
662C8—41no—
663C8—41no—
664C8—41no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22#1062308511yescharacteristic
680C22#1062308611yescharacteristic
681C22#1062327911yescharacteristic
682C22#1062327911yescharacteristic
683C22#1062328211yescharacteristic
684C22#1062328411yescharacteristic
685C22C22×(C2×D11)⋊C411yescharacteristic
686C4—22no—
687C4—22no—
688C4—22no—
689C4—22no—
690C4—442no—
691C4—442no—
692C4—442no—
693C4—442no—
694C4—442no—
695C4—881no—
696C4—881no—
697C4—881no—
698C4C4×#434111yescharacteristic
699C4#1062307711yescharacteristic
700C4#1062333711yescharacteristic
701C4#1062335511yescharacteristic
702C2—42no—
703C2—42no—
704C2#1307144111yescharacteristic
705C2#1307713611yescharacteristic
706C2#1307715011yescharacteristic
707C2#1308083411yescharacteristic
708C2#1308088611yescharacteristic
709C2#1308117811yescharacteristic
710C2#1308119011yescharacteristic
subgroupG/H
centerC23C22×D44
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C11×#436C2
socleC23×C11C22×D4
prime radicalC22×D4×C11D4
cosocleC22×C4×C11C24
hypercenterC2×#436D11
hypocenterC11#22499
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#436

Complements

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

NH ≅ G/Ntype
3. #13069581C2semidirect
4. #13069571C2semidirect
5. #13069049C2semidirect
6. #13069049C2semidirect
7. #13068926C2semidirect
8. #13068921C2semidirect
9. #13068712C2semidirect
10. #13068707C2semidirect
11. #13068632C2semidirect
12. C4×#66880C2semidirect
13. #13068336C2semidirect
14. #13068336C2semidirect
27. #10623072C4semidirect
100. C2×C4⋊Dic11C2×C4semidirect
111. #66977C2×C4semidirect
125. #66923C2×C4semidirect
127. C4×Dic22C2×C4semidirect
588. C11#22499semidirect

Maximal subgroups

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

subgroupindex
C2×#106230722
#130715452
#130695812
#130695712
#130690492
#130689262
#130689212
#130687122
#130687072
#130686322
C4×#668802
#130683362
C2×C11×#4362
#2249911