Finite Group Databasebeta

← #14758726

Subgroups — #14758726

Order 2816.

1518 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#4339C211yesmaximal, characteristic
2C2×#10622298C211yesmaximal, characteristic, complemented
3C2×C4×C8×D11C211yesmaximal, characteristic, complemented
4#13069550C212yesmaximal, complemented
5#13069408C212yesmaximal, complemented
6#13068907C212yesmaximal, complemented
7#13068905C212yesmaximal, complemented
8C4×(C2×D11)⋊C8C211yesmaximal, characteristic, complemented
9C4×(C2×D11)⋊C8C211yesmaximal, characteristic, complemented
10C4×C22⋊(C11⋊C8)C211yesmaximal, characteristic, complemented
11C4×C11×C22⋊C8C211yesmaximal, characteristic, complemented
12C22×#4339C411yescharacteristic
13C22×C42×C11C2211yescharacteristic
14C2×C4×C22⋊D11C411yescharacteristic
15C2×C4×C22⋊D11C411yescharacteristic
16C2×C4×C22⋊D11C2211yescharacteristic
17C2×C4×C22⋊D11C2211yescharacteristic
18C2×#66979C411yescharacteristic
19C22×C8×D11C2212yes—
20C4×#4339—24no—
21C4×#4339—24no—
22C2×C4×D44C411yescharacteristic
23C2×C4×D44C2211yescharacteristic
24C2×#66925C411yescharacteristic
25C2×#66925C411yescharacteristic
26C2×C42×D11C2211yescharacteristic
27C2×C42×D11C2211yescharacteristic
28C2×C4×Dic22C411yescharacteristic
29C2×C4×Dic22C2211yescharacteristic
30C2×C11×C22⋊C8C2212yes—
31C2×C4×C8×C11C2211yescharacteristic
32C2×C4×C8×C11C2211yescharacteristic
33C2×C22⋊(C11⋊C8)C2212yes—
34C2×(C2×D11)⋊C8C2212yes—
35C2×(C2×D11)⋊C8C2212yes—
36C2×(C2×D11)⋊C8C2212yes—
37C2×Dic11⋊C8C2212yes—
38C2×C8×Dic11C2212yes—
39C2×C4×C11⋊C8C2211yescharacteristic
40C2×C4×C11⋊C8C2211yescharacteristic
41#10622298—24no—
42C4×C8×D11—24no—
43C11×#336C2212yes—
44#10622188C2212yes—
45#10622188C2212yes—
46#10622162C2212yes—
47C23×C4×C11C2×C411yescharacteristic
48C23×C4×C11C2×C411yescharacteristic
49C23×C4×C11C2311yescharacteristic
50C22×C22⋊D11C2×C411yescharacteristic
51C22×C22⋊D11C2×C411yescharacteristic
52C2×#4339—24no—
53C2×#4339—24no—
54C2×#4339C818yescomplemented
55C22×D44C2×C411yescharacteristic
56C22×C4×D11C2×C411yescharacteristic
57C22×C4×D11C2×C411yescharacteristic
58C22×C4×D11C2×C411yescharacteristic
59C22×C4×D11C2×C411yescharacteristic
60C22×C4×D11C2311yescharacteristic
61C22×C4×D11C2311yescharacteristic
62C22×Dic22C2×C411yescharacteristic
63C22×C8×C11C2312yes—
64C22×C8×C11C2312yes—
65C2×C42×C11—22no—
66C2×C42×C11—22no—
67C2×C42×C11C2×C411yescharacteristic
68C2×C42×C11C2×C411yescharacteristic
69C2×C42×C11C2311yescharacteristic
70C2×C42×C11C2311yescharacteristic
71C2×C22⋊Dic11C2×C411yescharacteristic
72C2×C22⋊Dic11C2×C411yescharacteristic
73C4×C22⋊D11—24no—
74C4×C22⋊D11—22no—
75C4×C22⋊D11—22no—
76C4×C22⋊D11—24no—
77C4×C22⋊D11—22no—
78C4×C22⋊D11—22no—
79C2×(C2×D11)⋊C4C2×C411yescharacteristic
80C2×(C2×D11)⋊C4C2×C411yescharacteristic
81C2×(C2×D11)⋊C4C2×C411yescharacteristic
82C2×(C2×D11)⋊C4C2×C411yescharacteristic
83#66979—24no—
84C2×C4⋊Dic11C2×C411yescharacteristic
85C2×C4⋊Dic11C2×C411yescharacteristic
86C2×Dic11⋊C4C2×C411yescharacteristic
87C2×Dic11⋊C4C2×C411yescharacteristic
88C2×Dic11⋊C4C2×C411yescharacteristic
89C2×Dic11⋊C4C2×C411yescharacteristic
90C2×C4×Dic11C2×C411yescharacteristic
91C2×C4×Dic11C2×C411yescharacteristic
92C2×C4×Dic11C2×C411yescharacteristic
93C2×C4×Dic11C2×C411yescharacteristic
94C2×C4×Dic11C2311yescharacteristic
95C2×C4×Dic11C2311yescharacteristic
96C22×C11⋊C8C2312yes—
97C22×C11⋊C8C2312yes—
98C2×C8×D11—24no—
99C2×C8×D11—24no—
100C2×C8×D11—24no—
101C4×D44—24no—
102C4×D44—22no—
103C4×D44—22no—
104#66925—24no—
105#66925—24no—
106C42×D11—22no—
107C42×D11—22no—
108C42×D11D414yes—
109C42×D11D414yes—
110C4×Dic22—24no—
111C4×Dic22—22no—
112C4×Dic22—22no—
113C11×C22⋊C8—24no—
114C4×C8×C11—22no—
115C4×C8×C11—22no—
116C22⋊(C11⋊C8)—24no—
117(C2×D11)⋊C8—24no—
118(C2×D11)⋊C8—24no—
119(C2×D11)⋊C8—24no—
120Dic11⋊C8—24no—
121C8×Dic11—24no—
122C4×C11⋊C8—22no—
123C4×C11⋊C8—22no—
124#21373—111nomaximal, Sylow
125C24×C11C22×C411yescharacteristic
126C23×D11C22×C411yescharacteristic
127C23×D11C22×C411yescharacteristic
128C22×C4×C11—22no—
129C22×C4×C11—22no—
130C22×C4×C11—22no—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—21no—
134C22×C4×C11—21no—
135C22×C4×C11—22no—
136C22×C4×C11—22no—
137C22×C4×C11C2×C814yescomplemented
138C22×C4×C11C22×C411yescharacteristic
139C22×C4×C11C22×C411yescharacteristic
140C22×C4×C11C22×C411yescharacteristic
141C22×C4×C11C22×C411yescharacteristic
142C22×C4×C11C22×C411yescharacteristic
143C22×C4×C11C2411yescharacteristic
144C2×C22⋊D11—22no—
145C2×C22⋊D11—22no—
146C2×C22⋊D11—22no—
147C2×C22⋊D11—22no—
148C2×C22⋊D11C2×C814yes—
149C2×C22⋊D11C2×C814yescomplemented
150C22×Dic11C22×C411yescharacteristic
151C22×Dic11C22×C411yescharacteristic
152C22×Dic11C22×C411yescharacteristic
153C22×Dic11C22×C411yescharacteristic
154C22×Dic11C22×C411yescharacteristic
155C22×Dic11C22×C411yescharacteristic
156#4339—232no—
157C2×D44—22no—
158C2×D44—22no—
159C2×D44C2×C814yes—
160C2×C4×D11—22no—
161C2×C4×D11—22no—
162C2×C4×D11—22no—
163C2×C4×D11—22no—
164C2×C4×D11—22no—
165C2×C4×D11—22no—
166C2×C4×D11—22no—
167C2×C4×D11—21no—
168C2×C4×D11—21no—
169C2×C4×D11—22no—
170C2×C4×D11—22no—
171C2×C4×D11—22no—
172C2×C4×D11—22no—
173C2×C4×D11C22⋊C414yes—
174C2×C4×D11C22⋊C414yes—
175C2×C4×D11C2×C814yes—
176C2×C4×D11C2×C814yescomplemented
177C2×C4×D11M1614yes—
178C2×C4×D11C2×D412yes—
179C2×C4×D11C2×D412yes—
180C2×Dic22—22no—
181C2×Dic22—22no—
182C2×Dic22C2×C814yescomplemented
183C2×C8×C11—22no—
184C2×C8×C11—22no—
185C2×C8×C11—22no—
186C2×C8×C11—22no—
187C2×C8×C11—22no—
188C2×C8×C11#4114yescomplemented
189C42×C11—22no—
190C42×C11—22no—
191C42×C11—21no—
192C42×C11—21no—
193C42×C11C2×D412yes—
194C42×C11C2×D412yes—
195C22⋊Dic11—22no—
196C22⋊Dic11—22no—
197(C2×D11)⋊C4—22no—
198(C2×D11)⋊C4—22no—
199(C2×D11)⋊C4—22no—
200(C2×D11)⋊C4—22no—
201C4⋊Dic11—22no—
202C4⋊Dic11—22no—
203Dic11⋊C4—22no—
204Dic11⋊C4—22no—
205Dic11⋊C4—22no—
206Dic11⋊C4—22no—
207C4×Dic11—22no—
208C4×Dic11—22no—
209C4×Dic11—21no—
210C4×Dic11—21no—
211C4×Dic11C22⋊C414yes—
212C4×Dic11C22⋊C414yes—
213C4×Dic11C2×D412yes—
214C4×Dic11C2×D412yes—
215C2×C11⋊C8—22no—
216C2×C11⋊C8—22no—
217C2×C11⋊C8—22no—
218C2×C11⋊C8—22no—
219C2×C11⋊C8—22no—
220C2×C11⋊C8#4114yescomplemented
221C8×D11—216no—
222C2×C4×#41—111no—
223C2×#431—111no—
224C22×C4×C8—111no—
225#1984—112no—
226#1954—112no—
227#1869—112no—
228#1869—112no—
229C4×C22⋊C8—111no—
230C4×C22⋊C8—111no—
231C4×C22⋊C8—111no—
232C4×C22⋊C8D1111yescharacteristic, complemented
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11—21no—
237C23×C11—21no—
238C23×C11—21no—
239C23×C11C22×C812yes—
240C23×C11C23×C411yescharacteristic
241C22×D11—21no—
242C22×D11—21no—
243C22×D11—21no—
244C22×D11—21no—
245C22×D11—21no—
246C22×D11—21no—
247C22×D11—21no—
248C22×D11—21no—
249C22×D11—21no—
250C22×D11—21no—
251C22×D11C2×C22⋊C412yes—
252C22×D11C22×C812yes—
253C22×D11C22×C812yes—
254C22×D11C2×M1612yes—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—28no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—42no—
265C2×C4×C11—42no—
266C2×C4×C11—44no—
267C2×C4×C11C2×C22⋊C412yes—
268C2×C4×C11C2×C22⋊C412yes—
269C2×C4×C11C22×C812yes—
270C2×C4×C11C22×C812yes—
271C2×C4×C11C2×M1612yes—
272C2×C4×C11#13112yes—
273C2×C4×C11#13112yes—
274C2×C4×C11C22×D411yescharacteristic
275C2×C4×C11C22×D411yescharacteristic
276C2×C4×C11C2×#4112yes—
277C2×C4×C11C2×#4112yes—
278C22⋊D11—28no—
279C22⋊D11—28no—
280C2×Dic11—21no—
281C2×Dic11—21no—
282C2×Dic11—21no—
283C2×Dic11—21no—
284C2×Dic11—21no—
285C2×Dic11—21no—
286C2×Dic11—21no—
287C2×Dic11—21no—
288C2×Dic11—21no—
289C2×Dic11—21no—
290C2×Dic11—21no—
291C2×Dic11—21no—
292C2×Dic11C2×C22⋊C412yes—
293C2×Dic11C2×C22⋊C412yes—
294C2×Dic11C2×C22⋊C412yes—
295C2×Dic11C22×C812yes—
296C2×Dic11C22×C812yes—
297C2×Dic11C2×M1612yes—
298D44—28no—
299C4×D11—24no—
300C4×D11—24no—
301C4×D11—28no—
302C4×D11—28no—
303C4×D11—42no—
304C4×D11—42no—
305C4×D11—44no—
306C4×D11C22⋊C8116yescomplemented
307Dic22—28no—
308C8×C11—24no—
309C8×C11—42no—
310C11⋊C8—24no—
311C11⋊C8—42no—
312C22×#41—111no—
313C23×C8—112no—
314C4×#41—224no—
315C4×#41—224no—
316C2×C4×Q8—111no—
317C2×C4×Q8—111no—
318C2×C4×D4—111no—
319C2×C4×D4—111no—
320C2×C4×D4—111no—
321C2×C4×D4—111no—
322C2×C4×D4—111no—
323C2×C4×D4—111no—
324C2×#117—111no—
325C2×#117—111no—
326C2×#117—111no—
327C22×C42—111no—
328C22×C42—111no—
329C22×C42C2×D1111yescharacteristic
330#431—224no—
331C2×C4⋊C8—112no—
332C2×C22⋊C8—112no—
333C2×C22⋊C8—112no—
334C2×C22⋊C8—112no—
335C2×C22⋊C8—112no—
336C2×C22⋊C8C2×D1112yes—
337C2×C4×C8—112no—
338C2×C4×C8—111no—
339C2×C4×C8—111no—
340C2×C4×C8—224no—
341C2×C4×C8C2×D1111yescharacteristic
342C2×C4×C8C2×D1111yescharacteristic
343#336—112no—
344#336—112no—
345#336—112no—
346#336C2×D1112yes—
347C22×C11—22no—
348C22×C11—22no—
349C22×C11—22no—
350C22×C11—41no—
351C22×C11—41no—
352C22×C11—41no—
353C22×C11—41no—
354C22×C11C22×C22⋊C411yescharacteristic
355C22×C11C4×#4111yescharacteristic
356C22×C11C4×#4111yescharacteristic
357C22×C11C23×C811yescharacteristic
358C22×C11C22×M1611yescharacteristic
359C22×C11C2×#13111yescharacteristic
360C22×C11C2×#13111yescharacteristic
361C2×D11—22no—
362C2×D11—22no—
363C2×D11—22no—
364C2×D11—22no—
365C2×D11—22no—
366C2×D11—22no—
367C2×D11—22no—
368C2×D11—22no—
369C2×D11—22no—
370C2×D11—41no—
371C2×D11—41no—
372C2×D11—41no—
373C2×D11—41no—
374C2×D11C2×C22⋊C814yes—
375C4×C11—22no—
376C4×C11—41no—
377C4×C11—41no—
378C4×C11C2×C22⋊C814yes—
379C4×C11#40814yes—
380C4×C11#52512yes—
381C4×C11#53212yes—
382Dic11—22no—
383Dic11—22no—
384Dic11—22no—
385Dic11—41no—
386Dic11—41no—
387Dic11C2×C22⋊C814yes—
388C2×#41—118no—
389C2×#41—224no—
390C2×#41—224no—
391C22×Q8—111no—
392C22×D4—111no—
393C22×D4—111no—
394C22×D4—111no—
395C23×C4—111no—
396C23×C4—111no—
397C23×C4—111no—
398C23×C4—111no—
399C23×C4—111no—
400C23×C4—111no—
401C23×C4C4×D1111yescharacteristic
402C23×C4C4×D1111yescharacteristic
403C23×C4C22×D1111yescharacteristic
404C22×C8—112no—
405C22×C8—112no—
406C22×C8—224no—
407C22×C8—224no—
408C22×C8—224no—
409C22×C8C22×D1112yes—
410C22×C8C22×D1112yes—
411C4×Q8—224no—
412C4×Q8—222no—
413C4×Q8—222no—
414C4×D4—224no—
415C4×D4—222no—
416C4×D4—222no—
417C4×D4—224no—
418C4×D4—222no—
419C4×D4—222no—
420C4×D4—224no—
421C4×D4—222no—
422C4×D4—222no—
423#117—224no—
424#117—224no—
425#117—224no—
426C2×C4⋊C4—111no—
427C2×C4⋊C4—111no—
428C2×C4⋊C4—111no—
429C2×C4⋊C4—111no—
430C2×C4⋊C4—111no—
431C2×C4⋊C4—111no—
432C2×C22⋊C4—111no—
433C2×C22⋊C4—111no—
434C2×C22⋊C4—111no—
435C2×C22⋊C4—111no—
436C2×C22⋊C4—111no—
437C2×C22⋊C4—111no—
438C2×C42—22no—
439C2×C42—22no—
440C2×C42—111no—
441C2×C42—111no—
442C2×C42—111no—
443C2×C42—114no—
444C2×C42—114no—
445C2×C42—111no—
446C2×C42—111no—
447C2×C42—111no—
448C2×C42—222no—
449C2×C42—222no—
450C2×C42C4×D1111yescharacteristic
451C2×C42C4×D1111yescharacteristic
452C2×C42C22×D1111yescharacteristic
453C2×C42C22×D1111yescharacteristic
454C4⋊C8—224no—
455C22⋊C8—24no—
456C22⋊C8—224no—
457C22⋊C8—224no—
458C22⋊C8—224no—
459C22⋊C8—224no—
460C4×C8—22no—
461C4×C8—22no—
462C4×C8—224no—
463C4×C8—222no—
464C4×C8—222no—
465C2×C11—42no—
466C2×C11#229711yescharacteristic
467C2×C11C22×C22⋊C811yescharacteristic
468C2×C11C2×#40811yescharacteristic
469C2×C11C8×#4111yescharacteristic
470C2×C11C8×#4111yescharacteristic
471C2×C11#296511yescharacteristic
472C2×C11#296511yescharacteristic
473D11—24no—
474D11—42no—
475C24—111no—
476C24—111no—
477C24C2×C4×D1111yescharacteristic
478#41—2232no—
479C2×Q8—114no—
480C2×Q8—222no—
481C2×Q8—222no—
482C2×D4—114no—
483C2×D4—114no—
484C2×D4—114no—
485C2×D4—222no—
486C2×D4—222no—
487C2×D4—222no—
488C2×D4—222no—
489C2×D4—222no—
490C2×D4—222no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—111no—
501C22×C4—114no—
502C22×C4—114no—
503C22×C4—114no—
504C22×C4—111no—
505C22×C4—111no—
506C22×C4—111no—
507C22×C4—114no—
508C22×C4—114no—
509C22×C4—112no—
510C22×C4—112no—
511C22×C4—111no—
512C22×C4—111no—
513C22×C4—222no—
514C22×C4—222no—
515C22×C4—222no—
516C22×C4—222no—
517C22×C4—222no—
518C22×C4—222no—
519C22×C4—222no—
520C22×C4—222no—
521C22×C4—222no—
522C22×C4—222no—
523C22×C4—221no—
524C22×C4—221no—
525C22×C4—222no—
526C22×C4C8×D1114yescomplemented
527C22×C4C2×C4×D1111yescharacteristic
528C22×C4C2×C4×D1111yescharacteristic
529C22×C4C2×C4×D1111yescharacteristic
530C22×C4C2×C4×D1111yescharacteristic
531C22×C4C2×C4×D1111yescharacteristic
532C22×C4C23×D1111yescharacteristic
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—114no—
539C2×C8—2216no—
540C2×C8—222no—
541C2×C8—222no—
542C2×C8—222no—
543C2×C8—222no—
544C2×C8—222no—
545C2×C8#433914yescomplemented
546C4⋊C4—222no—
547C4⋊C4—222no—
548C4⋊C4—222no—
549C4⋊C4—222no—
550C4⋊C4—222no—
551C4⋊C4—222no—
552C22⋊C4—222no—
553C22⋊C4—222no—
554C22⋊C4—222no—
555C22⋊C4—222no—
556C22⋊C4—222no—
557C22⋊C4—222no—
558C42—22no—
559C42—22no—
560C42—21no—
561C42—21no—
562C42—114no—
563C42—114no—
564C42—112no—
565C42—112no—
566C42—222no—
567C42—222no—
568C42—221no—
569C42—221no—
570C42D4×D1112yes—
571C42D4×D1112yes—
572C11#2137311yescharacteristic, complemented, Sylow
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—112no—
580C23—112no—
581C23—112no—
582C23—112no—
583C23—221no—
584C23—221no—
585C23—221no—
586C23—221no—
587C23—221no—
588C23—221no—
589C23—221no—
590C23—221no—
591C23—221no—
592C23—221no—
593C23C2×C8×D1112yes—
594C23C22×C4×D1111yescharacteristic
595Q8—228no—
596D4—228no—
597D4—228no—
598D4—228no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—28no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—44no—
611C2×C4—112no—
612C2×C4—112no—
613C2×C4—112no—
614C2×C4—1116no—
615C2×C4—112no—
616C2×C4—112no—
617C2×C4—112no—
618C2×C4—221no—
619C2×C4—221no—
620C2×C4—221no—
621C2×C4—221no—
622C2×C4—221no—
623C2×C4—221no—
624C2×C4—224no—
625C2×C4—224no—
626C2×C4—228no—
627C2×C4—228no—
628C2×C4—221no—
629C2×C4—221no—
630C2×C4—221no—
631C2×C4—221no—
632C2×C4—221no—
633C2×C4—221no—
634C2×C4—442no—
635C2×C4—442no—
636C2×C4—444no—
637C2×C4C22⋊C4×D1112yes—
638C2×C4C22⋊C4×D1112yes—
639C2×C4C2×C8×D1112yes—
640C2×C4C2×C8×D1112yes—
641C2×C4#6695412yes—
642C2×C4M16×D1112yes—
643C2×C4#6696012yes—
644C2×C4C2×#433912yes—
645C2×C4C2×D4×D1111yescharacteristic
646C2×C4C2×D4×D1111yescharacteristic
647C2×C4#41×D1112yes—
648C8—24no—
649C8—42no—
650C8—224no—
651C8—442no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—41no—
656C22—41no—
657C22—41no—
658C22—41no—
659C22—114no—
660C22—222no—
661C22—222no—
662C22—222no—
663C22—222no—
664C22—222no—
665C22—222no—
666C22—222no—
667C22—222no—
668C22—222no—
669C22—441no—
670C22—441no—
671C22—441no—
672C22—441no—
673C22C4×#433911yescharacteristic
674C22C2×C22⋊C4×D1111yescharacteristic
675C22#1062305311yescharacteristic
676C22C22×C8×D1111yescharacteristic
677C22C2×#6695411yescharacteristic
678C22C2×M16×D1111yescharacteristic
679C22C2×#6696011yescharacteristic
680C4—22no—
681C4—41no—
682C4—41no—
683C4—114no—
684C4—222no—
685C4—222no—
686C4—222no—
687C4—441no—
688C4—441no—
689C4D11×C22⋊C814yes—
690C4#1062234014yes—
691C4#1062307812yes—
692C4#1062307912yes—
693C2—42no—
694C2—224no—
695C2—442no—
696C2#1307110211yescharacteristic
697C2C2×D11×C22⋊C811yescharacteristic
698C2C2×#1062234011yescharacteristic
699C2#1307757211yescharacteristic
700C2C8×#433911yescharacteristic
701C2#1307757811yescharacteristic
702C2#1307758011yescharacteristic
subgroupG/H
centerC2×C42C22×D11
commutatorC22×C11C23×C8
FrattiniC22×C4C23×D11
FittingC4×C11×C22⋊C8C2
socleC23×C11C23×C4
prime radicalC22×#4339C4
cosocleC22×C4×C11C24
hypercenterC4×C22⋊C8D11
hypocenterC11#21373
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C2×C42 ◁ C4×C22⋊C8

Complements

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

NH ≅ G/Ntype
2. C2×#10622298C2semidirect
3. C2×C4×C8×D11C2semidirect
4. #13069550C2semidirect
5. #13069408C2semidirect
6. #13068907C2semidirect
7. #13068905C2semidirect
8. C4×(C2×D11)⋊C8C2semidirect
9. C4×(C2×D11)⋊C8C2semidirect
10. C4×C22⋊(C11⋊C8)C2semidirect
11. C4×C11×C22⋊C8C2semidirect
54. C2×#4339C8semidirect
137. C22×C4×C11C2×C8semidirect
149. C2×C22⋊D11C2×C8semidirect
176. C2×C4×D11C2×C8semidirect
182. C2×Dic22C2×C8semidirect
188. C2×C8×C11#41semidirect
220. C2×C11⋊C8#41semidirect
232. C4×C22⋊C8D11semidirect
306. C4×D11C22⋊C8semidirect
526. C22×C4C8×D11semidirect
545. C2×C8#4339semidirect
572. C11#21373semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#43392
C2×#106222982
C2×C4×C8×D112
#130695502
#130694082
#130689072
#130689052
C4×(C2×D11)⋊C82
C4×C22⋊(C11⋊C8)2
C4×C11×C22⋊C82
#2137311