Finite Group Databasebeta

← #14720008

Subgroups — #14720008

Order 2816.

944 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077274C212yesmaximal, complemented
2#13066985C212yesmaximal, complemented
3#13066972C212yesmaximal, complemented
4#13066964C212yesmaximal
5#13066960C211yesmaximal, characteristic, complemented
6#13066950C211yesmaximal, characteristic, complemented
7#13066946C211yesmaximal, characteristic, complemented
8#13066940C211yesmaximal, characteristic, complemented
9#13066930C211yesmaximal, characteristic, complemented
10C2×#10622166C211yesmaximal, characteristic, complemented
11C2×C11×#552C211yesmaximal, characteristic
12C11×#552—22no—
13C11×#552—22no—
14C11×#552—22no—
15C11×#552—22no—
16C2×C11×#126C411yescharacteristic
17C2×C11×#126C2211yescharacteristic
18C2×C11×#125C411yescharacteristic
19C2×C11×#125C411yescharacteristic
20C2×C11×#125C2211yescharacteristic
21C2×C11×#123C411yescharacteristic
22C2×C11×#123C2211yescharacteristic
23C2×C11×C22⋊Q8C411yescharacteristic
24C2×C11×C22⋊Q8C411yescharacteristic
25C2×C4×Q8×C11C2211yescharacteristic
26C2×C4×D4×C11C411yescharacteristic
27C2×C11×#117C411yescharacteristic
28C2×C11×#117C2211yescharacteristic
29C2×C11×#117C2211yescharacteristic
30C22×C11×C4⋊C4C2211yescharacteristic
31#10622820C2212yes—
32C2×C22⋊(C11⋊C8)C2212yes—
33#10622613—22no—
34#10622613—22no—
35#10622612—22no—
36#10622610—22no—
37#10622539C2212yes—
38#10622539C2212yes—
39#10622538C2212yes—
40#10622538C2212yes—
41#10622166C2211yescharacteristic
42#10622166C2211yescharacteristic
43#10622166C2212yes—
44#10622166C2211yescharacteristic
45#10622166C2211yescharacteristic
46#10622166C2212yes—
47#10622166C2212yes—
48#10622166C2212yes—
49#10622163C2212yes—
50#10622163C2212yes—
51C22×Q8×C11C2×C411yescharacteristic
52C22×D4×C11C2×C411yescharacteristic
53C23×C4×C11C2×C411yescharacteristic
54C23×C4×C11C2×C411yescharacteristic
55C23×C4×C11C2×C411yescharacteristic
56C23×C4×C11C2311yescharacteristic
57C11×#126—22no—
58C11×#126—22no—
59C11×#126—22no—
60C11×#126—22no—
61C11×#125—22no—
62C11×#125—22no—
63C11×#125—22no—
64C11×#125—22no—
65C11×#125—22no—
66C11×#125—22no—
67C11×#123—22no—
68C11×#123—22no—
69C11×#123—22no—
70C11×#123—22no—
71C11×C22⋊Q8—22no—
72C11×C22⋊Q8—22no—
73C11×C22⋊Q8—22no—
74C11×C22⋊Q8—22no—
75C4×Q8×C11—22no—
76C4×Q8×C11—22no—
77C4×D4×C11—21no—
78C4×D4×C11—21no—
79C4×D4×C11—21no—
80C4×D4×C11—21no—
81C11×#117—21no—
82C11×#117—21no—
83C11×#117—21no—
84C11×#117—21no—
85C11×#117—22no—
86C11×#117—22no—
87C11×#117D412yes—
88C11×#117D412yes—
89C11×#117D412yes—
90C11×#117D412yes—
91C2×C11×C4⋊C4—22no—
92C2×C11×C4⋊C4—22no—
93C2×C11×C4⋊C4C2×C411yescharacteristic
94C2×C11×C4⋊C4C2×C411yescharacteristic
95C2×C11×C4⋊C4C2×C411yescharacteristic
96C2×C11×C4⋊C4C2×C411yescharacteristic
97C2×C11×C4⋊C4C2×C411yescharacteristic
98C2×C11×C4⋊C4C2×C411yescharacteristic
99C2×C11×C4⋊C4C2×C411yescharacteristic
100C2×C11×C4⋊C4C2×C411yescharacteristic
101C2×C11×C4⋊C4C2×C411yescharacteristic
102C2×C11×C4⋊C4C2×C411yescharacteristic
103C2×C11×C4⋊C4C2×C411yescharacteristic
104C2×C11×C4⋊C4C2×C411yescharacteristic
105C2×C11×C4⋊C4C2×C411yescharacteristic
106C2×C11×C4⋊C4C2311yescharacteristic
107C2×C11×C4⋊C4C2311yescharacteristic
108C2×C11×C4⋊C4C2311yescharacteristic
109C2×C11×C22⋊C4C2×C411yescharacteristic
110C2×C11×C22⋊C4C2×C411yescharacteristic
111C2×C11×C22⋊C4C2×C411yescharacteristic
112C2×C11×C22⋊C4C2×C411yescharacteristic
113C2×C11×C22⋊C4C2×C411yescharacteristic
114C2×C11×C22⋊C4C2×C411yescharacteristic
115C2×C11×C22⋊C4C2×C411yescharacteristic
116C2×C11×C22⋊C4C2311yescharacteristic
117C2×C42×C11C2×C411yescharacteristic
118C2×C42×C11C2×C411yescharacteristic
119C2×C42×C11C2×C411yescharacteristic
120C2×C42×C11C2311yescharacteristic
121C2×C42×C11C2311yescharacteristic
122C2×#4318—22no—
123C22×C11⋊C8—22no—
124C22⋊(C11⋊C8)—22no—
125C22⋊(C11⋊C8)—22no—
126C22⋊(C11⋊C8)C2312yes—
127C22⋊(C11⋊C8)C2312yes—
128C22⋊(C11⋊C8)C2312yes—
129C22⋊(C11⋊C8)C2312yes—
130C4⋊(C11⋊C8)—22no—
131C4⋊(C11⋊C8)—22no—
132C4⋊(C11⋊C8)—22no—
133C4⋊(C11⋊C8)—22no—
134#66867—22no—
135#66867—22no—
136C4×C11⋊C8—22no—
137C4×C11⋊C8—22no—
138#17417—111nomaximal, Sylow
139C24×C11C22×C411yescharacteristic
140C24×C11C22×C411yescharacteristic
141C2×Q8×C11—22no—
142C2×Q8×C11—22no—
143C2×Q8×C11—41no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—42no—
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—22no—
154C22×C4×C11—22no—
155C22×C4×C11—41no—
156C22×C4×C11—41no—
157C22×C4×C11—42no—
158C22×C4×C11—42no—
159C22×C4×C11C22×C411yescharacteristic
160C22×C4×C11C22×C411yescharacteristic
161C22×C4×C11C22×C411yescharacteristic
162C22×C4×C11C22×C411yescharacteristic
163C22×C4×C11C22×C411yescharacteristic
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×C11C2×D412yes—
172C22×C4×C11C2×D412yes—
173C22×C4×C11C2411yescharacteristic
174C11×C4⋊C4—22no—
175C11×C4⋊C4—22no—
176C11×C4⋊C4—22no—
177C11×C4⋊C4—21no—
178C11×C4⋊C4—21no—
179C11×C4⋊C4—21no—
180C11×C4⋊C4—21no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—22no—
184C11×C4⋊C4—22no—
185C11×C4⋊C4—22no—
186C11×C4⋊C4—22no—
187C11×C4⋊C4—22no—
188C11×C4⋊C4—22no—
189C11×C4⋊C4—22no—
190C11×C4⋊C4—22no—
191C11×C4⋊C4C22⋊C412yes—
192C11×C4⋊C4C22⋊C412yes—
193C11×C4⋊C4C22⋊C412yes—
194C11×C4⋊C4C22⋊C412yes—
195C11×C22⋊C4—21no—
196C11×C22⋊C4—21no—
197C11×C22⋊C4—22no—
198C11×C22⋊C4—21no—
199C11×C22⋊C4—21no—
200C11×C22⋊C4—22no—
201C11×C22⋊C4—22no—
202C11×C22⋊C4—22no—
203C11×C22⋊C4C22⋊C411yescharacteristic
204C11×C22⋊C4C22⋊C411yescharacteristic
205C11×C22⋊C4C22⋊C411yescharacteristic
206C11×C22⋊C4C22⋊C411yescharacteristic
207C11×C22⋊C4C22⋊C412yes—
208C11×C22⋊C4C22⋊C412yes—
209C42×C11—21no—
210C42×C11—21no—
211C42×C11—21no—
212C42×C11—21no—
213C42×C11—21no—
214C42×C11—21no—
215C42×C11C2×D412yes—
216C42×C11C2×D412yes—
217C42×C11C2×D412yes—
218C42×C11C2×D412yes—
219#4318—44no—
220C2×C11⋊C8—22no—
221C2×C11⋊C8—22no—
222C2×C11⋊C8—22no—
223C2×C11⋊C8—22no—
224C2×C11⋊C8—44no—
225C2×#552D1111yescharacteristic
226#2924—112no—
227#1473—112no—
228#1470—112no—
229#1468—112no—
230#1467—111no—
231#1464—111no—
232#1463—111no—
233#1461—111no—
234#1458—111no—
235C2×#324—111no—
236C23×C11—21no—
237C23×C11—21no—
238C23×C11—22no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—41no—
243C23×C11—41no—
244C23×C11—41no—
245C23×C11C2×C22⋊C411yescharacteristic
246C23×C11C2×C22⋊C411yescharacteristic
247C23×C11C23×C411yescharacteristic
248Q8×C11—44no—
249D4×C11—42no—
250D4×C11—42no—
251C2×C4×C11—21no—
252C2×C4×C11—21no—
253C2×C4×C11—21no—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—24no—
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—21no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—41no—
269C2×C4×C11—42no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—42no—
274C2×C4×C11—42no—
275C2×C4×C11—42no—
276C2×C4×C11—42no—
277C2×C4×C11—42no—
278C2×C4×C11—42no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11C2×C22⋊C411yescharacteristic
284C2×C4×C11C2×C22⋊C411yescharacteristic
285C2×C4×C11C2×C22⋊C411yescharacteristic
286C2×C4×C11C2×C22⋊C411yescharacteristic
287C2×C4×C11C2×C22⋊C412yes—
288C2×C4×C11C2×C22⋊C412yes—
289C2×C4×C11C2×C22⋊C412yes—
290C2×C4×C11#13112yes—
291C2×C4×C11C22×D412yes—
292C11⋊C8—42no—
293C11⋊C8—42no—
294C11⋊C8—42no—
295C11⋊C8—42no—
296#552—22no—
297#552—22no—
298#552—22no—
299#552—22no—
300C2×#126Dic1111yescharacteristic
301C2×#126C2×D1111yescharacteristic
302C2×#125Dic1111yescharacteristic
303C2×#125Dic1111yescharacteristic
304C2×#125C2×D1111yescharacteristic
305C2×#123Dic1111yescharacteristic
306C2×#123C2×D1111yescharacteristic
307C2×C22⋊Q8Dic1111yescharacteristic
308C2×C22⋊Q8Dic1111yescharacteristic
309C2×C4×Q8C2×D1111yescharacteristic
310C2×C4×D4Dic1111yescharacteristic
311C2×#117Dic1111yescharacteristic
312C2×#117C2×D1111yescharacteristic
313C2×#117C2×D1111yescharacteristic
314C22×C4⋊C4C2×D1111yescharacteristic
315#433—222no—
316#433—222no—
317#432—112no—
318#432—112no—
319#431—112no—
320#431—112no—
321#424—222no—
322#407—112no—
323C2×C22⋊C8—112no—
324#405—222no—
325#324—111no—
326#324—111no—
327#324—112no—
328#324—111no—
329#324—111no—
330#324—112no—
331#324—112no—
332#324—112no—
333#323—112no—
334#323—112no—
335C22×C11—21no—
336C22×C11—21no—
337C22×C11—21no—
338C22×C11—21no—
339C22×C11—21no—
340C22×C11—21no—
341C22×C11—21no—
342C22×C11—42no—
343C22×C11—42no—
344C22×C11—41no—
345C22×C11—41no—
346C22×C11—41no—
347C22×C11—81no—
348C22×C11—81no—
349C22×C11#41012yes—
350C22×C11C22×C22⋊C411yescharacteristic
351C22×C11C2×#13111yescharacteristic
352C22×C11#56811yescharacteristic
353C4×C11—22no—
354C4×C11—21no—
355C4×C11—21no—
356C4×C11—22no—
357C4×C11—22no—
358C4×C11—22no—
359C4×C11—21no—
360C4×C11—21no—
361C4×C11—22no—
362C4×C11—41no—
363C4×C11—41no—
364C4×C11—41no—
365C4×C11—41no—
366C4×C11—41no—
367C4×C11—41no—
368C22×Q8C2×Dic1111yescharacteristic
369C22×D4C2×Dic1111yescharacteristic
370C23×C4C2×Dic1111yescharacteristic
371C23×C4C2×Dic1111yescharacteristic
372C23×C4C2×Dic1111yescharacteristic
373C23×C4C22×D1111yescharacteristic
374C2×M16—222no—
375C22×C8—222no—
376#126—22no—
377#126—22no—
378#126—22no—
379#126—22no—
380#125—22no—
381#125—22no—
382#125—22no—
383#125—22no—
384#125—22no—
385#125—22no—
386#123—22no—
387#123—22no—
388#123—22no—
389#123—22no—
390C22⋊Q8—22no—
391C22⋊Q8—22no—
392C22⋊Q8—22no—
393C22⋊Q8—22no—
394C4×Q8—22no—
395C4×Q8—22no—
396C4×D4—21no—
397C4×D4—21no—
398C4×D4—21no—
399C4×D4—21no—
400#117—21no—
401#117—21no—
402#117—21no—
403#117—21no—
404#117—22no—
405#117—22no—
406#117C22⋊D1112yes—
407#117C22⋊D1112yes—
408#117C22⋊D1112yes—
409#117C22⋊D1112yes—
410C2×C4⋊C4—22no—
411C2×C4⋊C4—22no—
412C2×C4⋊C4C2×Dic1111yescharacteristic
413C2×C4⋊C4C2×Dic1111yescharacteristic
414C2×C4⋊C4C2×Dic1111yescharacteristic
415C2×C4⋊C4C2×Dic1111yescharacteristic
416C2×C4⋊C4C2×Dic1111yescharacteristic
417C2×C4⋊C4C2×Dic1111yescharacteristic
418C2×C4⋊C4C2×Dic1111yescharacteristic
419C2×C4⋊C4C2×Dic1111yescharacteristic
420C2×C4⋊C4C2×Dic1111yescharacteristic
421C2×C4⋊C4C2×Dic1111yescharacteristic
422C2×C4⋊C4C2×Dic1111yescharacteristic
423C2×C4⋊C4C2×Dic1111yescharacteristic
424C2×C4⋊C4C2×Dic1111yescharacteristic
425C2×C4⋊C4C22×D1111yescharacteristic
426C2×C4⋊C4C22×D1111yescharacteristic
427C2×C4⋊C4C22×D1111yescharacteristic
428C2×C22⋊C4C2×Dic1111yescharacteristic
429C2×C22⋊C4C2×Dic1111yescharacteristic
430C2×C22⋊C4C2×Dic1111yescharacteristic
431C2×C22⋊C4C2×Dic1111yescharacteristic
432C2×C22⋊C4C2×Dic1111yescharacteristic
433C2×C22⋊C4C2×Dic1111yescharacteristic
434C2×C22⋊C4C2×Dic1111yescharacteristic
435C2×C22⋊C4C22×D1111yescharacteristic
436C2×C42C2×Dic1111yescharacteristic
437C2×C42C2×Dic1111yescharacteristic
438C2×C42C2×Dic1111yescharacteristic
439C2×C42C22×D1111yescharacteristic
440C2×C42C22×D1111yescharacteristic
441C4⋊C8—222no—
442C4⋊C8—222no—
443C4⋊C8—222no—
444C4⋊C8—222no—
445C22⋊C8—112no—
446C22⋊C8—112no—
447C22⋊C8—112no—
448C22⋊C8—112no—
449C22⋊C8—222no—
450C22⋊C8—222no—
451#97—222no—
452#97—222no—
453C4×C8—222no—
454C4×C8—222no—
455C2×C11—21no—
456C2×C11—21no—
457C2×C11—22no—
458C2×C11—41no—
459C2×C11—81no—
460C2×C11#288011yescharacteristic
461C2×C11C2×#41011yescharacteristic
462C2×C11#288911yescharacteristic
463C24C22×Dic1111yescharacteristic
464C24C22×Dic1111yescharacteristic
465C2×Q8—22no—
466C2×Q8—22no—
467C2×Q8—41no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—42no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—42no—
480C22×C4—41no—
481C22×C4—41no—
482C22×C4—42no—
483C22×C4C22×Dic1111yescharacteristic
484C22×C4C22×Dic1111yescharacteristic
485C22×C4C22×Dic1111yescharacteristic
486C22×C4C22×Dic1111yescharacteristic
487C22×C4C22×Dic1111yescharacteristic
488C22×C4C22×Dic1111yescharacteristic
489C22×C4C22×Dic1111yescharacteristic
490C22×C4C22×Dic1111yescharacteristic
491C22×C4C22×Dic1111yescharacteristic
492C22×C4C22×Dic1111yescharacteristic
493C22×C4C22×Dic1111yescharacteristic
494C22×C4C22×Dic1111yescharacteristic
495C22×C4C2×C22⋊D1112yes—
496C22×C4C2×C22⋊D1112yes—
497C22×C4C23×D1111yescharacteristic
498M16—444no—
499C2×C8—222no—
500C2×C8—222no—
501C2×C8—222no—
502C2×C8—222no—
503C2×C8—444no—
504C4⋊C4—22no—
505C4⋊C4—22no—
506C4⋊C4—22no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—22no—
514C4⋊C4—22no—
515C4⋊C4—22no—
516C4⋊C4—22no—
517C4⋊C4—22no—
518C4⋊C4—22no—
519C4⋊C4—22no—
520C4⋊C4—22no—
521C4⋊C4C22⋊Dic1112yes—
522C4⋊C4C22⋊Dic1112yes—
523C4⋊C4C22⋊Dic1112yes—
524C4⋊C4C22⋊Dic1112yes—
525C22⋊C4—21no—
526C22⋊C4—21no—
527C22⋊C4—22no—
528C22⋊C4—21no—
529C22⋊C4—21no—
530C22⋊C4—22no—
531C22⋊C4—22no—
532C22⋊C4—22no—
533C22⋊C4C22⋊Dic1111yescharacteristic
534C22⋊C4C22⋊Dic1111yescharacteristic
535C22⋊C4C22⋊Dic1111yescharacteristic
536C22⋊C4C22⋊Dic1111yescharacteristic
537C22⋊C4C22⋊Dic1112yes—
538C22⋊C4C22⋊Dic1112yes—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42C2×C22⋊D1112yes—
546C42C2×C22⋊D1112yes—
547C42C2×C22⋊D1112yes—
548C42C2×C22⋊D1112yes—
549C11#1741711yescharacteristic, complemented, Sylow
550C23—21no—
551C23—21no—
552C23—22no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23C2×C22⋊Dic1111yescharacteristic
560C23C2×C22⋊Dic1111yescharacteristic
561C23C23×Dic1111yescharacteristic
562Q8—44no—
563D4—42no—
564D4—42no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—24no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—41no—
583C2×C4—42no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—42no—
590C2×C4—42no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4#6700112yes—
598C2×C4C2×C22⋊Dic1111yescharacteristic
599C2×C4C2×C22⋊Dic1111yescharacteristic
600C2×C4C2×C22⋊Dic1111yescharacteristic
601C2×C4C2×C22⋊Dic1111yescharacteristic
602C2×C4C2×C22⋊Dic1112yes—
603C2×C4C2×C22⋊Dic1112yes—
604C2×C4C2×C22⋊Dic1112yes—
605C2×C4C22×C22⋊D1112yes—
606C8—442no—
607C8—442no—
608C8—442no—
609C8—442no—
610C22—21no—
611C22—21no—
612C22—21no—
613C22—21no—
614C22—21no—
615C22—21no—
616C22—21no—
617C22—42no—
618C22—42no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—81no—
623C22—81no—
624C22#1062285312yes—
625C22C2×#6700111yescharacteristic
626C22#1062335011yescharacteristic
627C22C22×C22⋊Dic1111yescharacteristic
628C4—22no—
629C4—21no—
630C4—21no—
631C4—22no—
632C4—22no—
633C4—22no—
634C4—21no—
635C4—21no—
636C4—22no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—41no—
642C4—41no—
643C2—21no—
644C2—21no—
645C2—22no—
646C2—41no—
647C2—81no—
648C2#1307706511yescharacteristic
649C2C2×#1062285311yescharacteristic
650C2#1307709911yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic11
commutatorC23×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C11×#552C2
socleC22×C11C22×C22⋊C4
prime radicalC22×D4×C11C2×C4
cosocleC22×C4×C11C24
hypercenterC2×#552D11
hypocenterC11#17417
LCSG ▷ C23×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×#117 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. #13077274C2semidirect
2. #13066985C2semidirect
3. #13066972C2semidirect
5. #13066960C2semidirect
6. #13066950C2semidirect
7. #13066946C2semidirect
8. #13066940C2semidirect
9. #13066930C2semidirect
10. C2×#10622166C2semidirect
549. C11#17417semidirect

Maximal subgroups

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

subgroupindex
#130772742
#130669852
#130669722
#130669642
#130669602
#130669502
#130669462
#130669402
#130669302
C2×#106221662
C2×C11×#5522
#1741711