Finite Group Databasebeta

← #14753896

Subgroups — #14753896

Order 2816.

1428 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077249C211yesmaximal, characteristic, complemented
2C4×#66979C211yesmaximal, characteristic, complemented
3#13068715C212yesmaximal, complemented
4#13068636C214yesmaximal, complemented
5#13068560C212yesmaximal
6C4×#66901C214yesmaximal, complemented
7C2×C4×C11×#41C211yesmaximal, characteristic
8C22×C11×#41C2211yescharacteristic
9C4×C11×#41—21no—
10C4×C11×#41—21no—
11C4×C11×#41—21no—
12C4×C11×#41—21no—
13C4×C11×#41C412yescomplemented
14C4×C11×#41C412yescomplemented
15C4×C11×#41C2212yes—
16C4×C11×#41C2212yes—
17C2×C4×Q8×C11C411yescharacteristic, complemented
18C2×C4×Q8×C11C411yescharacteristic, complemented
19C2×C4×D4×C11—21no—
20C2×C4×D4×C11—21no—
21C2×C4×D4×C11C411yescharacteristic, complemented
22C2×C4×D4×C11C411yescharacteristic, complemented
23C2×C11×#117—21no—
24C2×C11×#117C2211yescharacteristic
25C22×C42×C11—21no—
26C22×C42×C11C2211yescharacteristic
27C2×#66979—21no—
28C2×#66901C2218yes—
29C4×C22⋊Dic11—21no—
30C4×C22⋊Dic11C2212yes—
31#10622820C2212yes—
32C4×C4⋊Dic11—21no—
33C4×C4⋊Dic11C2212yescomplemented
34#10622545—21no—
35C42×Dic11C2212yescomplemented
36#10622539—21no—
37#10622539—21no—
38#10622538—21no—
39#10622538—21no—
40#10622537C2212yescomplemented
41C4×#4318C2212yescomplemented
42#10622170C2218yescomplemented
43C2×C11×#41—28no—
44C2×C11×#41—21no—
45C2×C11×#41—21no—
46C2×C11×#41C2×C412yes—
47C2×C11×#41C2312yes—
48C22×Q8×C11C2×C411yescharacteristic
49C22×D4×C11—21no—
50C22×D4×C11C2×C411yescharacteristic
51C23×C4×C11—21no—
52C23×C4×C11—21no—
53C23×C4×C11—21no—
54C23×C4×C11D411yescharacteristic
55C23×C4×C11D411yescharacteristic
56C23×C4×C11C2311yescharacteristic
57C4×Q8×C11—21no—
58C4×Q8×C11—21no—
59C4×Q8×C11—21no—
60C4×Q8×C11—21no—
61C4×Q8×C11C2×C412yes—
62C4×Q8×C11C2×C412yes—
63C4×Q8×C11C2×C412yes—
64C4×Q8×C11C2×C412yes—
65C4×D4×C11—22no—
66C4×D4×C11—22no—
67C4×D4×C11—22no—
68C4×D4×C11—22no—
69C4×D4×C11—22no—
70C4×D4×C11—22no—
71C4×D4×C11—22no—
72C4×D4×C11—22no—
73C4×D4×C11—21no—
74C4×D4×C11—21no—
75C4×D4×C11—21no—
76C4×D4×C11—21no—
77C4×D4×C11C2×C412yes—
78C4×D4×C11C2×C412yes—
79C4×D4×C11C2×C412yes—
80C4×D4×C11C2×C412yes—
81C11×#117—21no—
82C11×#117—21no—
83C11×#117—22no—
84C11×#117—22no—
85C11×#117—22no—
86C11×#117—22no—
87C11×#117C2×C412yes—
88C11×#117C2312yes—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4C2×C411yescharacteristic
92C2×C11×C4⋊C4C2×C411yescharacteristic
93C2×C11×C22⋊C4—21no—
94C2×C11×C22⋊C4—21no—
95C2×C11×C22⋊C4—21no—
96C2×C42×C11—21no—
97C2×C42×C11—21no—
98C2×C42×C11—21no—
99C2×C42×C11—22no—
100C2×C42×C11—22no—
101C2×C42×C11—22no—
102C2×C42×C11—22no—
103C2×C42×C11C2×C411yescharacteristic
104C2×C42×C11C2×C411yescharacteristic
105C2×C42×C11C2×C411yescharacteristic
106C2×C42×C11C2×C411yescharacteristic
107C2×C42×C11D411yescharacteristic
108C2×C42×C11D411yescharacteristic
109C2×C42×C11D411yescharacteristic
110C2×C42×C11D411yescharacteristic
111C2×C42×C11D411yescharacteristic
112C2×C42×C11D411yescharacteristic
113C2×C42×C11C2311yescharacteristic
114C2×C42×C11C2311yescharacteristic
115C2×C22⋊Dic11—22no—
116#66979—28no—
117C2×C4⋊Dic11—22no—
118C2×C4×Dic11—22no—
119C2×C4×Dic11—22no—
120C2×C4×Dic11C2314yes—
121C2×#4318C2314yes—
122#66901—216no—
123C11⋊#95—22no—
124C11⋊#95—22no—
125C22⋊(C11⋊C8)—22no—
126C22⋊(C11⋊C8)—22no—
127C4⋊(C11⋊C8)—22no—
128C4⋊(C11⋊C8)—22no—
129#66867—22no—
130C4×C11⋊C8—22no—
131#20747—111nomaximal, Sylow
132C24×C11—21no—
133C24×C11C2×D411yescharacteristic
134C11×#41—28no—
135C11×#41—28no—
136C11×#41—24no—
137C11×#41—24no—
138C11×#41—24no—
139C11×#41#4118yes—
140C2×Q8×C11—24no—
141C2×Q8×C11—21no—
142C2×Q8×C11C22×C412yes—
143C2×D4×C11—28no—
144C2×D4×C11—22no—
145C2×D4×C11—22no—
146C2×D4×C11—24no—
147C2×D4×C11—21no—
148C2×D4×C11C22×C412yes—
149C22×C4×C11—28no—
150C22×C4×C11—21no—
151C22×C4×C11—24no—
152C22×C4×C11—22no—
153C22×C4×C11—22no—
154C22×C4×C11—24no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—22no—
158C22×C4×C11—22no—
159C22×C4×C11—22no—
160C22×C4×C11—22no—
161C22×C4×C11—42no—
162C22×C4×C11—44no—
163C22×C4×C11—44no—
164C22×C4×C11C22⋊C411yescharacteristic
165C22×C4×C11C22⋊C411yescharacteristic
166C22×C4×C11C22⋊C411yescharacteristic
167C22×C4×C11C22⋊C411yescharacteristic
168C22×C4×C11C22⋊C411yescharacteristic
169C22×C4×C11C22⋊C411yescharacteristic
170C22×C4×C11C22⋊C411yescharacteristic
171C22×C4×C11C22⋊C411yescharacteristic
172C22×C4×C11C22×C411yescharacteristic
173C22×C4×C11C22×C411yescharacteristic
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D411yescharacteristic
179C22×C4×C11C2×D411yescharacteristic
180C22×C4×C11C2×D411yescharacteristic
181C22×C4×C11C2411yescharacteristic
182C22×Dic11—24no—
183C11×C4⋊C4—22no—
184C11×C4⋊C4—22no—
185C11×C4⋊C4—22no—
186C11×C4⋊C4—22no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4C22×C412yes—
190C11×C4⋊C4C22×C412yes—
191C11×C22⋊C4—22no—
192C11×C22⋊C4—22no—
193C11×C22⋊C4—22no—
194C11×C22⋊C4—22no—
195C11×C22⋊C4—22no—
196C11×C22⋊C4—22no—
197C42×C11—22no—
198C42×C11—22no—
199C42×C11—22no—
200C42×C11—22no—
201C42×C11—22no—
202C42×C11—22no—
203C42×C11C22⋊C411yescharacteristic
204C42×C11C22⋊C411yescharacteristic
205C42×C11C22⋊C411yescharacteristic
206C42×C11C22⋊C411yescharacteristic
207C42×C11C22⋊C411yescharacteristic
208C42×C11C22⋊C411yescharacteristic
209C42×C11C22⋊C411yescharacteristic
210C42×C11C22⋊C411yescharacteristic
211C42×C11C22×C411yescharacteristic
212C42×C11C22×C411yescharacteristic
213C42×C11C22×C411yescharacteristic
214C42×C11C22×C411yescharacteristic
215C42×C11C2×D411yescharacteristic
216C42×C11C2×D411yescharacteristic
217C42×C11C2×D411yescharacteristic
218C42×C11C2×D411yescharacteristic
219C22⋊Dic11—28no—
220C4⋊Dic11—28no—
221C4×Dic11—28no—
222C4×Dic11—28no—
223C4×Dic11—44no—
224#4318—28no—
225C2×C11⋊C8—24no—
226C2×C4×#41D1111yescharacteristic
227#2920—111no—
228C4×#117—111no—
229#1826—112no—
230#1806—114no—
231#1789—112no—
232C4×#104—114no—
233C23×C11—24no—
234C23×C11—22no—
235C23×C11—22no—
236C23×C11—22no—
237C23×C11—41no—
238C23×C11—42no—
239C23×C11—42no—
240C23×C11C2×C22⋊C411yescharacteristic
241C23×C11C2×C22⋊C411yescharacteristic
242C23×C11C22×D411yescharacteristic
243Q8×C11—24no—
244Q8×C11—22no—
245Q8×C11#11714yescomplemented
246D4×C11—28no—
247D4×C11—24no—
248D4×C11—28no—
249D4×C11—22no—
250D4×C11#11714yescomplemented
251C2×C4×C11—24no—
252C2×C4×C11—28no—
253C2×C4×C11—22no—
254C2×C4×C11—22no—
255C2×C4×C11—22no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—22no—
259C2×C4×C11—28no—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—44no—
274C2×C4×C11—42no—
275C2×C4×C11—42no—
276C2×C4×C11—44no—
277C2×C4×C11—44no—
278C2×C4×C11—44no—
279C2×C4×C11#10414yescomplemented
280C2×C4×C11C2×C22⋊C411yescharacteristic
281C2×C4×C11C2×C22⋊C411yescharacteristic
282C2×C4×C11C2×C22⋊C411yescharacteristic
283C2×C4×C11C2×C22⋊C411yescharacteristic
284C2×C4×C11C2×C22⋊C411yescharacteristic
285C2×C4×C11C2×C22⋊C411yescharacteristic
286C2×C4×C11C2×C22⋊C411yescharacteristic
287C2×C4×C11C2×C22⋊C411yescharacteristic
288C2×C4×C11C2×C22⋊C411yescharacteristic
289C2×C4×C11C2×C22⋊C411yescharacteristic
290C2×C4×C11C23×C411yescharacteristic
291C2×C4×C11C22×D411yescharacteristic
292C2×C4×C11C2×#4114yes—
293C2×Dic11—28no—
294C2×Dic11—44no—
295C2×Dic11—44no—
296C11⋊C8—44no—
297C22×#41C2×D1111yescharacteristic
298C4×#41—21no—
299C4×#41—21no—
300C4×#41—21no—
301C4×#41—21no—
302C4×#41Dic1112yescomplemented
303C4×#41Dic1112yescomplemented
304C4×#41C2×D1112yes—
305C4×#41C2×D1112yes—
306C2×C4×Q8Dic1111yescharacteristic, complemented
307C2×C4×Q8Dic1111yescharacteristic, complemented
308C2×C4×D4—21no—
309C2×C4×D4—21no—
310C2×C4×D4Dic1111yescharacteristic, complemented
311C2×C4×D4Dic1111yescharacteristic, complemented
312C2×#117—21no—
313C2×#117—221no—
314C2×#117C2×D1111yescharacteristic
315C22×C42—21no—
316C22×C42C2×D1111yescharacteristic
317#432—221no—
318#432—221no—
319#431—221no—
320#431—221no—
321#423—112no—
322C2×#104—118no—
323#407—112no—
324C4×M16—112no—
325C4×C4⋊C4—112no—
326C4×C4⋊C4—221no—
327C4×C22⋊C4—112no—
328C4×C22⋊C4—221no—
329#376—221no—
330C43—112no—
331#339—118no—
332C22×C11—21no—
333C22×C11—21no—
334C22×C11—21no—
335C22×C11—21no—
336C22×C11—21no—
337C22×C11—21no—
338C22×C11—21no—
339C22×C11—24no—
340C22×C11—44no—
341C22×C11—48no—
342C22×C11—42no—
343C22×C11—42no—
344C22×C11C2×#10412yes—
345C22×C11C22×C22⋊C411yescharacteristic
346C22×C11#52512yes—
347C4×C11—21no—
348C4×C11—21no—
349C4×C11—21no—
350C4×C11—21no—
351C4×C11—21no—
352C4×C11—21no—
353C4×C11—24no—
354C4×C11—21no—
355C4×C11—42no—
356C4×C11—42no—
357C4×C11C2×#10412yes—
358C4×C11C2×#10412yes—
359C4×C11#42112yes—
360C4×C11C2×#11712yes—
361C4×C11#52512yes—
362Dic11—48no—
363C2×#41—28no—
364C2×#41—21no—
365C2×#41—21no—
366C2×#41C2×Dic1112yes—
367C2×#41C22×D1112yes—
368C22×Q8C2×Dic1111yescharacteristic
369C22×D4—21no—
370C22×D4C2×Dic1111yescharacteristic
371C23×C4—21no—
372C23×C4—21no—
373C23×C4—21no—
374C23×C4C22⋊D1111yescharacteristic
375C23×C4C22⋊D1111yescharacteristic
376C23×C4C22×D1111yescharacteristic
377C2×M16—114no—
378C4×Q8—21no—
379C4×Q8—21no—
380C4×Q8—21no—
381C4×Q8—21no—
382C4×Q8C2×Dic1112yes—
383C4×Q8C2×Dic1112yes—
384C4×Q8C2×Dic1112yes—
385C4×Q8C2×Dic1112yes—
386C4×D4—22no—
387C4×D4—22no—
388C4×D4—22no—
389C4×D4—22no—
390C4×D4—22no—
391C4×D4—22no—
392C4×D4—22no—
393C4×D4—22no—
394C4×D4—21no—
395C4×D4—21no—
396C4×D4—21no—
397C4×D4—21no—
398C4×D4C2×Dic1112yes—
399C4×D4C2×Dic1112yes—
400C4×D4C2×Dic1112yes—
401C4×D4C2×Dic1112yes—
402#117—21no—
403#117—21no—
404#117—22no—
405#117—22no—
406#117—22no—
407#117—22no—
408#117—228no—
409#117C2×Dic1112yes—
410#117C22×D1112yes—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—222no—
414C2×C4⋊C4C2×Dic1111yescharacteristic
415C2×C4⋊C4C2×Dic1111yescharacteristic
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—222no—
420C2×C42—21no—
421C2×C42—21no—
422C2×C42—21no—
423C2×C42—22no—
424C2×C42—22no—
425C2×C42—22no—
426C2×C42—22no—
427C2×C42—114no—
428C2×C42—222no—
429C2×C42—222no—
430C2×C42C2×Dic1111yescharacteristic
431C2×C42C2×Dic1111yescharacteristic
432C2×C42C2×Dic1111yescharacteristic
433C2×C42C2×Dic1111yescharacteristic
434C2×C42C22⋊D1111yescharacteristic
435C2×C42C22⋊D1111yescharacteristic
436C2×C42C22⋊D1111yescharacteristic
437C2×C42C22⋊D1111yescharacteristic
438C2×C42C22⋊D1111yescharacteristic
439C2×C42C22⋊D1111yescharacteristic
440C2×C42C22×D1111yescharacteristic
441C2×C42C22×D1111yescharacteristic
442C4⋊C8—222no—
443C4⋊C8—222no—
444#104—2216no—
445C22⋊C8—222no—
446C22⋊C8—222no—
447#97—222no—
448C4×C8—222no—
449#95—222no—
450#95—222no—
451C2×C11—22no—
452C2×C11—22no—
453C2×C11—41no—
454C2×C11—44no—
455C2×C11#228011yescharacteristic
456C2×C11C22×#10411yescharacteristic
457C2×C11C2×#42111yescharacteristic
458C24—21no—
459C24C2×C22⋊D1111yescharacteristic
460#41—28no—
461#41—28no—
462#41—24no—
463#41—24no—
464#41—24no—
465#41#433918yes—
466C2×Q8—24no—
467C2×Q8—21no—
468C2×Q8C22×Dic1112yes—
469C2×D4—28no—
470C2×D4—22no—
471C2×D4—22no—
472C2×D4—24no—
473C2×D4—21no—
474C2×D4C22×Dic1112yes—
475C22×C4—28no—
476C22×C4—21no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—42no—
488C22×C4—44no—
489C22×C4—44no—
490C22×C4—224no—
491C22×C4C22⋊Dic1111yescharacteristic
492C22×C4C22⋊Dic1111yescharacteristic
493C22×C4C22⋊Dic1111yescharacteristic
494C22×C4C22⋊Dic1111yescharacteristic
495C22×C4C22⋊Dic1111yescharacteristic
496C22×C4C22⋊Dic1111yescharacteristic
497C22×C4C22⋊Dic1111yescharacteristic
498C22×C4C22⋊Dic1111yescharacteristic
499C22×C4C22×Dic1111yescharacteristic
500C22×C4C22×Dic1111yescharacteristic
501C22×C4C2×C22⋊D1111yescharacteristic
502C22×C4C2×C22⋊D1111yescharacteristic
503C22×C4C2×C22⋊D1111yescharacteristic
504C22×C4C2×C22⋊D1111yescharacteristic
505C22×C4C2×C22⋊D1111yescharacteristic
506C22×C4C2×C22⋊D1111yescharacteristic
507C22×C4C2×C22⋊D1111yescharacteristic
508C22×C4C23×D1111yescharacteristic
509M16—228no—
510C2×C8—224no—
511C4⋊C4—22no—
512C4⋊C4—22no—
513C4⋊C4—22no—
514C4⋊C4—22no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—228no—
518C4⋊C4C22×Dic1112yes—
519C4⋊C4C22×Dic1112yes—
520C22⋊C4—22no—
521C22⋊C4—22no—
522C22⋊C4—22no—
523C22⋊C4—22no—
524C22⋊C4—22no—
525C22⋊C4—22no—
526C22⋊C4—228no—
527C42—22no—
528C42—22no—
529C42—22no—
530C42—22no—
531C42—22no—
532C42—22no—
533C42—228no—
534C42—228no—
535C42—444no—
536C42C22⋊Dic1111yescharacteristic
537C42C22⋊Dic1111yescharacteristic
538C42C22⋊Dic1111yescharacteristic
539C42C22⋊Dic1111yescharacteristic
540C42C22⋊Dic1111yescharacteristic
541C42C22⋊Dic1111yescharacteristic
542C42C22⋊Dic1111yescharacteristic
543C42C22⋊Dic1111yescharacteristic
544C42C22×Dic1111yescharacteristic
545C42C22×Dic1111yescharacteristic
546C42C22×Dic1111yescharacteristic
547C42C22×Dic1111yescharacteristic
548C42C2×C22⋊D1111yescharacteristic
549C42C2×C22⋊D1111yescharacteristic
550C42C2×C22⋊D1111yescharacteristic
551C42C2×C22⋊D1111yescharacteristic
552C11#2074711yescharacteristic, complemented, Sylow
553C23—24no—
554C23—22no—
555C23—22no—
556C23—22no—
557C23—41no—
558C23—42no—
559C23—42no—
560C23C2×C22⋊Dic1111yescharacteristic
561C23C2×C22⋊Dic1111yescharacteristic
562C23C22×C22⋊D1111yescharacteristic
563Q8—24no—
564Q8—22no—
565Q8#6697914yescomplemented
566D4—28no—
567D4—24no—
568D4—28no—
569D4—22no—
570D4#6697914yescomplemented
571C2×C4—24no—
572C2×C4—28no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—28no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—44no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—44no—
597C2×C4—44no—
598C2×C4—44no—
599C2×C4—228no—
600C2×C4—444no—
601C2×C4—444no—
602C2×C4#6690114yescomplemented
603C2×C4C2×C22⋊Dic1111yescharacteristic
604C2×C4C2×C22⋊Dic1111yescharacteristic
605C2×C4C2×C22⋊Dic1111yescharacteristic
606C2×C4C2×C22⋊Dic1111yescharacteristic
607C2×C4C2×C22⋊Dic1111yescharacteristic
608C2×C4C2×C22⋊Dic1111yescharacteristic
609C2×C4C2×C22⋊Dic1111yescharacteristic
610C2×C4C2×C22⋊Dic1111yescharacteristic
611C2×C4C2×C22⋊Dic1111yescharacteristic
612C2×C4C2×C22⋊Dic1111yescharacteristic
613C2×C4C2×#433914yes—
614C2×C4C23×Dic1111yescharacteristic
615C2×C4C22×C22⋊D1111yescharacteristic
616C8—444no—
617C22—21no—
618C22—21no—
619C22—21no—
620C22—21no—
621C22—21no—
622C22—24no—
623C22—21no—
624C22—21no—
625C22—44no—
626C22—48no—
627C22—42no—
628C22—42no—
629C22C2×#6690112yes—
630C22#1062332212yes—
631C22C22×C22⋊Dic1111yescharacteristic
632C4—21no—
633C4—24no—
634C4—21no—
635C4—21no—
636C4—21no—
637C4—21no—
638C4—21no—
639C4—21no—
640C4—42no—
641C4—42no—
642C4—448no—
643C4C2×#6690112yes—
644C4C2×#6690112yes—
645C4#1062284912yes—
646C4C2×#6697912yes—
647C4#1062332212yes—
648C2—22no—
649C2—22no—
650C2—41no—
651C2—44no—
652C2#1307099911yescharacteristic
653C2C22×#6690111yescharacteristic
654C2C2×#1062284911yescharacteristic
subgroupG/H
centerC42C2×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C4×C11×#41C2
socleC22×C11C22×C22⋊C4
prime radicalC22×C11×#41C22
cosocleC22×C4×C11C24
hypercenterC2×C4×#41D11
hypocenterC11#20747
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C42 ◁ C22×C42 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. #13077249C2semidirect
2. C4×#66979C2semidirect
3. #13068715C2semidirect
4. #13068636C2semidirect
6. C4×#66901C2semidirect
13. C4×C11×#41C4semidirect
14. C4×C11×#41C4semidirect
17. C2×C4×Q8×C11C4semidirect
18. C2×C4×Q8×C11C4semidirect
21. C2×C4×D4×C11C4semidirect
22. C2×C4×D4×C11C4semidirect
33. C4×C4⋊Dic11C22semidirect
35. C42×Dic11C22semidirect
40. #10622537C22semidirect
41. C4×#4318C22semidirect
42. #10622170C22semidirect
245. Q8×C11#117semidirect
250. D4×C11#117semidirect
279. C2×C4×C11#104semidirect
302. C4×#41Dic11semidirect
303. C4×#41Dic11semidirect
306. C2×C4×Q8Dic11semidirect
307. C2×C4×Q8Dic11semidirect
310. C2×C4×D4Dic11semidirect
311. C2×C4×D4Dic11semidirect
552. C11#20747semidirect
565. Q8#66979semidirect
570. D4#66979semidirect
602. C2×C4#66901semidirect

Maximal subgroups

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

subgroupindex
#130772492
C4×#669792
#130687152
#130686362
#130685602
C4×#669012
C2×C4×C11×#412
#2074711