Finite Group Databasebeta

← #14763216

Subgroups — #14763216

Order 2816.

1474 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66977C211yesmaximal, characteristic
2#13070999C211yesmaximal, characteristic
3#13069601C214yesmaximal, complemented
4#13069600C214yesmaximal, complemented
5#13068688C214yesmaximal
6C11×#2280C211yesmaximal, characteristic
7C24×C4×C11C2211yescharacteristic
8C23×Dic22C411yescharacteristic, complemented
9C2×C11×#117—21no—
10C22×C22⋊Dic11C2212yes—
11C2×#66979—21no—
12C22×C4⋊Dic11C411yescharacteristic, complemented
13C2×#66977—21no—
14C2×#66977—21no—
15C2×#66977—21no—
16C2×#66977—21no—
17C2×#66977—21no—
18C2×#66977—21no—
19C2×#66977—21no—
20C2×#66977—21no—
21C2×#66977C412yescomplemented
22C2×#66977C412yescomplemented
23C2×#66977C2212yes—
24C2×#66977C2212yes—
25C22×Dic11⋊C4C412yescomplemented
26C11×#381—21no—
27C11×#380—21no—
28C11×#380C2212yes—
29C11×#379C2212yes—
30C4×C11×C22⋊C4—21no—
31C4×C11×C22⋊C4C2212yes—
32#10622860C2212yes—
33#10622825—21no—
34#10622825C2212yes—
35#10622824—21no—
36C4×C22⋊Dic11—21no—
37C4×C22⋊Dic11C2212yes—
38#10622165C22116yes—
39C25×C11C2311yescharacteristic
40C23×C4×C11—44no—
41C23×C4×C11C2×C411yescharacteristic
42C23×C4×C11C2×C411yescharacteristic
43C23×C4×C11C2×C411yescharacteristic
44C23×C4×C11C2×C411yescharacteristic
45C23×C4×C11D411yescharacteristic
46C23×C4×C11D411yescharacteristic
47C23×C4×C11D411yescharacteristic
48C23×C4×C11D411yescharacteristic
49C23×C4×C11D411yescharacteristic
50C23×C4×C11D411yescharacteristic
51C23×C4×C11D411yescharacteristic
52C23×C4×C11D411yescharacteristic
53C23×C4×C11C2311yescharacteristic
54C23×C4×C11C2311yescharacteristic
55C23×Dic11C2×C412yes—
56C23×Dic11C2×C412yes—
57C22×Dic22—21no—
58C22×Dic22—21no—
59C22×Dic22—21no—
60C22×Dic22—21no—
61C22×Dic22—44no—
62C22×Dic22C2×C412yes—
63C22×Dic22C2×C412yes—
64C11×#117—44no—
65C2×C11×C4⋊C4—22no—
66C2×C11×C22⋊C4—22no—
67C2×C11×C22⋊C4—22no—
68C2×C11×C22⋊C4C2314yes—
69C2×C42×C11—22no—
70C2×C22⋊Dic11—22no—
71C2×C22⋊Dic11—22no—
72C2×C22⋊Dic11—22no—
73C2×C22⋊Dic11—22no—
74C2×C22⋊Dic11—22no—
75C2×C22⋊Dic11—22no—
76C2×C22⋊Dic11C2×C414yes—
77C2×C22⋊Dic11C2314yes—
78C2×C22⋊Dic11C2314yes—
79#66979—44no—
80C2×C4⋊Dic11—21no—
81C2×C4⋊Dic11—21no—
82C2×C4⋊Dic11—21no—
83C2×C4⋊Dic11—21no—
84C2×C4⋊Dic11—22no—
85C2×C4⋊Dic11C2×C412yes—
86C2×C4⋊Dic11C2×C412yes—
87#66977—22no—
88#66977—22no—
89#66977—22no—
90#66977—22no—
91#66977—22no—
92#66977—22no—
93#66977—22no—
94#66977—22no—
95#66977—22no—
96#66977—22no—
97#66977—22no—
98#66977—22no—
99#66977—22no—
100#66977—22no—
101#66977—22no—
102#66977—22no—
103C2×Dic11⋊C4—22no—
104C2×Dic11⋊C4—22no—
105C2×Dic11⋊C4—22no—
106C2×Dic11⋊C4—22no—
107C2×Dic11⋊C4C2×C414yes—
108C2×Dic11⋊C4C2×C414yes—
109C2×C4×Dic11—22no—
110C11×#95—22no—
111C11×#95—22no—
112C11⋊#95—22no—
113C11⋊#95—22no—
114#21825—111nomaximal, Sylow
115C24×C11—24no—
116C24×C11—42no—
117C24×C11—42no—
118C24×C11C22×C411yescharacteristic
119C24×C11C22×C411yescharacteristic
120C24×C11C2×D411yescharacteristic
121C24×C11C2×D411yescharacteristic
122C24×C11C2×D411yescharacteristic
123C24×C11C2×D411yescharacteristic
124C24×C11C2411yescharacteristic
125C22×C4×C11—24no—
126C22×C4×C11—24no—
127C22×C4×C11—24no—
128C22×C4×C11—24no—
129C22×C4×C11—42no—
130C22×C4×C11—42no—
131C22×C4×C11—42no—
132C22×C4×C11—42no—
133C22×C4×C11—42no—
134C22×C4×C11—42no—
135C22×C4×C11—42no—
136C22×C4×C11—42no—
137C22×C4×C11—42no—
138C22×C4×C11—42no—
139C22×C4×C11—42no—
140C22×C4×C11C22⋊C411yescharacteristic
141C22×C4×C11C22⋊C411yescharacteristic
142C22×C4×C11C22⋊C411yescharacteristic
143C22×C4×C11C22⋊C411yescharacteristic
144C22×C4×C11C22⋊C411yescharacteristic
145C22×C4×C11C22⋊C411yescharacteristic
146C22×C4×C11C22⋊C411yescharacteristic
147C22×C4×C11C22⋊C411yescharacteristic
148C22×C4×C11C22⋊C411yescharacteristic
149C22×C4×C11C22⋊C411yescharacteristic
150C22×C4×C11C22⋊C411yescharacteristic
151C22×C4×C11C22⋊C411yescharacteristic
152C22×C4×C11C22⋊C411yescharacteristic
153C22×C4×C11C22⋊C411yescharacteristic
154C22×C4×C11C22⋊C411yescharacteristic
155C22×C4×C11C22⋊C411yescharacteristic
156C22×C4×C11C22×C411yescharacteristic
157C22×C4×C11C22×C411yescharacteristic
158C22×C4×C11C22×C411yescharacteristic
159C22×C4×C11C22×C411yescharacteristic
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×Dic11—22no—
169C22×Dic11—22no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—24no—
173C22×Dic11—44no—
174C22×Dic11—44no—
175C22×Dic11C22×C414yes—
176C22×Dic11C22×C414yes—
177C2×Dic22—22no—
178C2×Dic22—22no—
179C2×Dic22—22no—
180C2×Dic22—22no—
181C2×Dic22—44no—
182C2×Dic22—44no—
183C2×Dic22—44no—
184C2×Dic22—44no—
185C2×Dic22—44no—
186C2×Dic22—44no—
187C11×C4⋊C4—44no—
188C11×C22⋊C4—28no—
189C11×C22⋊C4—44no—
190C11×C22⋊C4—44no—
191C42×C11—44no—
192C22⋊Dic11—24no—
193C22⋊Dic11—24no—
194C22⋊Dic11—24no—
195C22⋊Dic11—24no—
196C22⋊Dic11—28no—
197C22⋊Dic11—44no—
198C22⋊Dic11—44no—
199C4⋊Dic11—22no—
200C4⋊Dic11—22no—
201C4⋊Dic11—22no—
202C4⋊Dic11—22no—
203C4⋊Dic11—44no—
204Dic11⋊C4—24no—
205Dic11⋊C4—24no—
206Dic11⋊C4—24no—
207Dic11⋊C4—24no—
208C4×Dic11—44no—
209C22×C22⋊Q8—111no—
210#2280—111no—
211#2280D1111yescharacteristic
212#1996—114no—
213#1996—114no—
214#1819—114no—
215C23×C11—22no—
216C23×C11—22no—
217C23×C11—22no—
218C23×C11—22no—
219C23×C11—22no—
220C23×C11—22no—
221C23×C11—22no—
222C23×C11—22no—
223C23×C11—22no—
224C23×C11—22no—
225C23×C11—22no—
226C23×C11—22no—
227C23×C11—41no—
228C23×C11—41no—
229C23×C11—41no—
230C23×C11—41no—
231C23×C11—41no—
232C23×C11—41no—
233C23×C11—41no—
234C23×C11—41no—
235C23×C11—416no—
236C23×C11C2×C22⋊C411yescharacteristic
237C23×C11C2×C22⋊C411yescharacteristic
238C23×C11C2×C22⋊C411yescharacteristic
239C23×C11C2×C22⋊C411yescharacteristic
240C23×C11C23×C411yescharacteristic
241C23×C11C22×D411yescharacteristic
242C23×C11C22×D411yescharacteristic
243C23×C112−1+414yes—
244C2×C4×C11—22no—
245C2×C4×C11—22no—
246C2×C4×C11—22no—
247C2×C4×C11—22no—
248C2×C4×C11—22no—
249C2×C4×C11—22no—
250C2×C4×C11—22no—
251C2×C4×C11—22no—
252C2×C4×C11—22no—
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—41no—
260C2×C4×C11—41no—
261C2×C4×C11—41no—
262C2×C4×C11—41no—
263C2×C4×C11—41no—
264C2×C4×C11—41no—
265C2×C4×C11—41no—
266C2×C4×C11—41no—
267C2×C4×C11—41no—
268C2×C4×C11—41no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—44no—
272C2×C4×C11—44no—
273C2×C4×C11—44no—
274C2×C4×C11#9914yes—
275C2×C4×C11C2×C22⋊C411yescharacteristic
276C2×C4×C11C2×C22⋊C411yescharacteristic
277C2×C4×C11C2×C22⋊C411yescharacteristic
278C2×C4×C11C2×C22⋊C411yescharacteristic
279C2×C4×C11C2×C22⋊C411yescharacteristic
280C2×C4×C11C2×C22⋊C411yescharacteristic
281C2×C4×C11C2×C22⋊C411yescharacteristic
282C2×C4×C11C2×C22⋊C411yescharacteristic
283C2×Dic11—24no—
284C2×Dic11—24no—
285C2×Dic11—44no—
286C2×Dic11—44no—
287C2×Dic11—44no—
288C2×Dic11—44no—
289C2×Dic11—44no—
290C2×Dic11—44no—
291C2×Dic11—44no—
292C2×Dic11—44no—
293C2×Dic11—44no—
294Dic22—44no—
295Dic22—44no—
296Dic22—44no—
297Dic22—44no—
298C23×Q8—111no—
299C24×C4C2×D1111yescharacteristic
300C2×C22⋊Q8—112no—
301C2×C22⋊Q8—112no—
302C2×C22⋊Q8—112no—
303C2×C22⋊Q8—112no—
304C2×C22⋊Q8—221no—
305C2×C22⋊Q8—221no—
306C2×C22⋊Q8—221no—
307C2×C22⋊Q8—221no—
308C2×C22⋊Q8—221no—
309C2×C22⋊Q8—221no—
310C2×C22⋊Q8—221no—
311C2×C22⋊Q8—221no—
312C2×#117—21no—
313C2×#117—221no—
314C22×C4⋊C4—112no—
315C22×C4⋊C4—111no—
316C22×C22⋊C4—112no—
317#381—21no—
318#381—221no—
319#380—21no—
320#380—112no—
321#380—221no—
322#380C2×D1112yes—
323#379—112no—
324#379C2×D1112yes—
325C4×C22⋊C4—21no—
326C4×C22⋊C4—112no—
327C4×C22⋊C4—221no—
328C4×C22⋊C4C2×D1112yes—
329#342—1116no—
330C22×C11—28no—
331C22×C11—21no—
332C22×C11—21no—
333C22×C11—21no—
334C22×C11—21no—
335C22×C11—21no—
336C22×C11—21no—
337C22×C11—21no—
338C22×C11—21no—
339C22×C11—21no—
340C22×C11—21no—
341C22×C11—21no—
342C22×C11—21no—
343C22×C11—21no—
344C22×C11—21no—
345C22×C11—21no—
346C22×C11—21no—
347C22×C11—44no—
348C22×C11—44no—
349C22×C11—44no—
350C22×C11—44no—
351C22×C11—44no—
352C22×C11—44no—
353C22×C11C2×#9912yes—
354C22×C11#41012yes—
355C22×C11C22×C22⋊C411yescharacteristic
356C22×C11#51912yes—
357C22×C11#53612yes—
358C22×C11#53612yes—
359C4×C11—21no—
360C4×C11—21no—
361C4×C11—21no—
362C4×C11—21no—
363C4×C11—21no—
364C4×C11—21no—
365C4×C11—84no—
366C4×C11C2×#9912yes—
367C4×C11C2×#9912yes—
368Dic11—44no—
369Dic11—44no—
370Dic11—84no—
371C25C22×D1111yescharacteristic
372C22×Q8—112no—
373C22×Q8—112no—
374C22×Q8—221no—
375C22×Q8—221no—
376C22×Q8—221no—
377C22×Q8—221no—
378C22×Q8—444no—
379C23×C4—44no—
380C23×C4—112no—
381C23×C4—112no—
382C23×C4C4×D1111yescharacteristic
383C23×C4C4×D1111yescharacteristic
384C23×C4C4×D1111yescharacteristic
385C23×C4C4×D1111yescharacteristic
386C23×C4D4411yescharacteristic
387C23×C4D4411yescharacteristic
388C23×C4D4411yescharacteristic
389C23×C4D4411yescharacteristic
390C23×C4C22⋊D1111yescharacteristic
391C23×C4C22⋊D1111yescharacteristic
392C23×C4C22⋊D1111yescharacteristic
393C23×C4C22⋊D1111yescharacteristic
394C23×C4C22×D1111yescharacteristic
395C23×C4C22×D1111yescharacteristic
396C22⋊Q8—222no—
397C22⋊Q8—222no—
398C22⋊Q8—222no—
399C22⋊Q8—222no—
400C22⋊Q8—222no—
401C22⋊Q8—222no—
402C22⋊Q8—222no—
403C22⋊Q8—222no—
404C22⋊Q8—222no—
405C22⋊Q8—222no—
406C22⋊Q8—222no—
407C22⋊Q8—222no—
408C22⋊Q8—222no—
409C22⋊Q8—222no—
410C22⋊Q8—222no—
411C22⋊Q8—222no—
412#117—44no—
413#117—444no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—114no—
416C2×C4⋊C4—114no—
417C2×C4⋊C4—112no—
418C2×C4⋊C4—112no—
419C2×C4⋊C4—222no—
420C2×C4⋊C4—222no—
421C2×C4⋊C4—222no—
422C2×C4⋊C4—222no—
423C2×C4⋊C4—221no—
424C2×C4⋊C4—221no—
425C2×C4⋊C4—221no—
426C2×C4⋊C4—221no—
427C2×C4⋊C4—222no—
428C2×C22⋊C4—22no—
429C2×C22⋊C4—22no—
430C2×C22⋊C4—114no—
431C2×C22⋊C4—114no—
432C2×C22⋊C4—114no—
433C2×C22⋊C4—222no—
434C2×C22⋊C4—222no—
435C2×C22⋊C4—222no—
436C2×C22⋊C4—222no—
437C2×C22⋊C4—222no—
438C2×C22⋊C4—222no—
439C2×C22⋊C4C22×D1114yes—
440C2×C42—22no—
441C2×C42—222no—
442#95—22no—
443#95—22no—
444#95—222no—
445#95—222no—
446C2×C11—22no—
447C2×C11—22no—
448C2×C11—22no—
449C2×C11—22no—
450C2×C11—22no—
451C2×C11—41no—
452C2×C11—41no—
453C2×C11#231011yescharacteristic
454C2×C11C22×#9911yescharacteristic
455C2×C11C2×#41011yescharacteristic
456C24—24no—
457C24—42no—
458C24—42no—
459C24C2×C4×D1111yescharacteristic
460C24C2×C4×D1111yescharacteristic
461C24C2×D4411yescharacteristic
462C24C2×D4411yescharacteristic
463C24C2×C22⋊D1111yescharacteristic
464C24C2×C22⋊D1111yescharacteristic
465C24C23×D1111yescharacteristic
466C2×Q8—222no—
467C2×Q8—222no—
468C2×Q8—222no—
469C2×Q8—222no—
470C2×Q8—444no—
471C2×Q8—444no—
472C2×Q8—444no—
473C2×Q8—444no—
474C2×Q8—444no—
475C2×Q8—444no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—114no—
492C22×C4—114no—
493C22×C4—222no—
494C22×C4—222no—
495C22×C4—222no—
496C22×C4—222no—
497C22×C4—224no—
498C22×C4—444no—
499C22×C4—444no—
500C22×C4(C2×D11)⋊C411yescharacteristic
501C22×C4(C2×D11)⋊C411yescharacteristic
502C22×C4(C2×D11)⋊C411yescharacteristic
503C22×C4(C2×D11)⋊C411yescharacteristic
504C22×C4(C2×D11)⋊C411yescharacteristic
505C22×C4(C2×D11)⋊C411yescharacteristic
506C22×C4(C2×D11)⋊C411yescharacteristic
507C22×C4(C2×D11)⋊C411yescharacteristic
508C22×C4(C2×D11)⋊C411yescharacteristic
509C22×C4(C2×D11)⋊C411yescharacteristic
510C22×C4(C2×D11)⋊C411yescharacteristic
511C22×C4(C2×D11)⋊C411yescharacteristic
512C22×C4(C2×D11)⋊C411yescharacteristic
513C22×C4(C2×D11)⋊C411yescharacteristic
514C22×C4(C2×D11)⋊C411yescharacteristic
515C22×C4(C2×D11)⋊C411yescharacteristic
516C22×C4C2×C4×D1111yescharacteristic
517C22×C4C2×C4×D1111yescharacteristic
518C22×C4C2×C4×D1111yescharacteristic
519C22×C4C2×C4×D1111yescharacteristic
520C22×C4C2×D4411yescharacteristic
521C22×C4C2×D4411yescharacteristic
522C22×C4C2×D4411yescharacteristic
523C22×C4C2×D4411yescharacteristic
524C22×C4C2×C22⋊D1111yescharacteristic
525C22×C4C2×C22⋊D1111yescharacteristic
526C22×C4C2×C22⋊D1111yescharacteristic
527C22×C4C2×C22⋊D1111yescharacteristic
528C4⋊C4—44no—
529C4⋊C4—224no—
530C4⋊C4—224no—
531C4⋊C4—224no—
532C4⋊C4—224no—
533C4⋊C4—222no—
534C4⋊C4—222no—
535C4⋊C4—222no—
536C4⋊C4—222no—
537C4⋊C4—444no—
538C22⋊C4—28no—
539C22⋊C4—44no—
540C22⋊C4—44no—
541C22⋊C4—224no—
542C22⋊C4—224no—
543C22⋊C4—224no—
544C22⋊C4—224no—
545C22⋊C4—228no—
546C22⋊C4—444no—
547C22⋊C4—444no—
548C42—44no—
549C42—444no—
550C11#2182511yescharacteristic, complemented, Sylow
551C23—22no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—22no—
556C23—22no—
557C23—22no—
558C23—22no—
559C23—22no—
560C23—22no—
561C23—22no—
562C23—22no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—416no—
572C23C2×(C2×D11)⋊C411yescharacteristic
573C23C2×(C2×D11)⋊C411yescharacteristic
574C23C2×(C2×D11)⋊C411yescharacteristic
575C23C2×(C2×D11)⋊C411yescharacteristic
576C23C22×C4×D1111yescharacteristic
577C23C22×D4411yescharacteristic
578C23#6704314yes—
579C23C22×C22⋊D1111yescharacteristic
580Q8—444no—
581Q8—444no—
582Q8—444no—
583Q8—444no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—44no—
612C2×C4—44no—
613C2×C4—44no—
614C2×C4—224no—
615C2×C4—224no—
616C2×C4—444no—
617C2×C4—444no—
618C2×C4—444no—
619C2×C4—444no—
620C2×C4—444no—
621C2×C4—444no—
622C2×C4—444no—
623C2×C4—444no—
624C2×C4—444no—
625C2×C4#6687014yes—
626C2×C4C2×(C2×D11)⋊C411yescharacteristic
627C2×C4C2×(C2×D11)⋊C411yescharacteristic
628C2×C4C2×(C2×D11)⋊C411yescharacteristic
629C2×C4C2×(C2×D11)⋊C411yescharacteristic
630C2×C4C2×(C2×D11)⋊C411yescharacteristic
631C2×C4C2×(C2×D11)⋊C411yescharacteristic
632C2×C4C2×(C2×D11)⋊C411yescharacteristic
633C2×C4C2×(C2×D11)⋊C411yescharacteristic
634C22—28no—
635C22—21no—
636C22—21no—
637C22—21no—
638C22—21no—
639C22—21no—
640C22—21no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—21no—
647C22—21no—
648C22—21no—
649C22—21no—
650C22—21no—
651C22—44no—
652C22—44no—
653C22—44no—
654C22—44no—
655C22—44no—
656C22—44no—
657C22C2×#6687012yes—
658C22#1062261912yes—
659C22#1062304712yes—
660C22#1062305712yes—
661C22C22×(C2×D11)⋊C411yescharacteristic
662C22#1062335612yes—
663C4—21no—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—21no—
668C4—21no—
669C4—84no—
670C4—444no—
671C4—444no—
672C4—884no—
673C4C2×#6687012yes—
674C4C2×#6687012yes—
675C2—22no—
676C2—22no—
677C2—22no—
678C2—22no—
679C2—22no—
680C2—41no—
681C2—41no—
682C2#1307120011yescharacteristic
683C2C22×#6687011yescharacteristic
684C2C2×#1062261911yescharacteristic
subgroupG/H
centerC22C22×(C2×D11)⋊C4
commutatorC23×C11C23×C4
FrattiniC24C23×D11
FittingC11×#2280C2
socleC22×C11C22×C22⋊C4
prime radicalC25×C11C23
cosocleC24×C11C24
hypercenter#2280D11
hypocenterC11#21825
LCSG ▷ C23×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C24×C4 ◁ #2280

Complements

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

NH ≅ G/Ntype
3. #13069601C2semidirect
4. #13069600C2semidirect
8. C23×Dic22C4semidirect
12. C22×C4⋊Dic11C4semidirect
21. C2×#66977C4semidirect
22. C2×#66977C4semidirect
25. C22×Dic11⋊C4C4semidirect
550. C11#21825semidirect

Maximal subgroups

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

subgroupindex
C22×#669772
#130709992
#130696012
#130696002
#130686882
C11×#22802
#2182511