Finite Group Databasebeta

← #14763209

Subgroups — #14763209

Order 2816.

1006 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623109C211yesmaximal, characteristic
2C2×#10622453C211yesmaximal, characteristic
3C2×#10622303C211yesmaximal, characteristic
4#13069557C211yesmaximal, characteristic, complemented
5#13069555C211yesmaximal, characteristic, complemented
6#13069554C211yesmaximal, characteristic, complemented
7#13069554C211yesmaximal, characteristic, complemented
8#13069552C211yesmaximal, characteristic, complemented
9#13069550C211yesmaximal, characteristic, complemented
10#13069550C211yesmaximal, characteristic, complemented
11#13068686C211yesmaximal, characteristic
12#13068686C211yesmaximal, characteristic
13#13068683C211yesmaximal, characteristic
14#13068683C211yesmaximal, characteristic
15C11×#1984C211yesmaximal, characteristic, complemented
16C2×C4×Q8×C11C2211yescharacteristic
17C2×#66999C411yescharacteristic
18C2×#66997C411yescharacteristic
19#10623109—24no—
20#10623109—24no—
21C2×#66950C411yescharacteristic
22C2×#66949C411yescharacteristic
23C2×#66949C411yescharacteristic
24C2×#66942C411yescharacteristic
25C2×#66942C411yescharacteristic
26C2×#66941C411yescharacteristic
27C2×#66925C2211yescharacteristic
28C2×#66925C2211yescharacteristic
29C2×C42×D11C2211yescharacteristic
30C2×C4×Dic22C2211yescharacteristic
31C2×C4×Dic22C2211yescharacteristic
32C2×C4×Dic22C2211yescharacteristic
33C2×C11×C4⋊C8C2211yescharacteristic
34C2×C4×C8×C11C2211yescharacteristic
35C2×(C2×D11)⋊C8C2211yescharacteristic
36C2×(C2×D11)⋊C8C2211yescharacteristic
37C2×(C2×D11)⋊C8C2211yescharacteristic
38C2×(C2×D11)⋊C8C2211yescharacteristic
39C2×#66879C2211yescharacteristic
40C2×Dic11⋊C8C2211yescharacteristic
41C2×Dic11⋊C8C2211yescharacteristic
42C2×C8×Dic11C2211yescharacteristic
43C2×C4⋊(C11⋊C8)C2211yescharacteristic
44C2×#66867C2211yescharacteristic
45#10622453—24no—
46#10622303—24no—
47C11×#336C2211yescharacteristic
48C11×#336C2211yescharacteristic
49C11×#336C2211yescharacteristic
50C11×#336C2211yescharacteristic
51#10622188C2211yescharacteristic
52#10622188C2211yescharacteristic
53#10622188C2211yescharacteristic
54#10622188C2211yescharacteristic
55#10622188C2211yescharacteristic
56#10622188C2211yescharacteristic
57#10622188C2211yescharacteristic
58#10622188C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61#10622162C2211yescharacteristic
62#10622162C2211yescharacteristic
63C22×Q8×C11C2×C411yescharacteristic
64C22×C4×D11C2×C411yescharacteristic
65C22×C4×D11C2×C411yescharacteristic
66C22×C4×D11C2311yescharacteristic
67C22×Dic22C2×C411yescharacteristic
68C22×Dic22C2×C411yescharacteristic
69C22×Dic22C2×C411yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C4×Q8×C11—22no—
75C4×Q8×C11—22no—
76C2×C11×C4⋊C4C2×C411yescharacteristic
77C2×C11×C4⋊C4C2×C411yescharacteristic
78C2×C11×C4⋊C4C2×C411yescharacteristic
79C2×C42×C11C2311yescharacteristic
80C2×C42×C11C2311yescharacteristic
81C2×C42×C11C2311yescharacteristic
82#66999—24no—
83#66997—24no—
84C2×(C2×D11)⋊C4C2×C411yescharacteristic
85C2×(C2×D11)⋊C4C2×C411yescharacteristic
86C2×(C2×D11)⋊C4C2×C411yescharacteristic
87C2×(C2×D11)⋊C4C2×C411yescharacteristic
88C2×C4⋊Dic11C2×C411yescharacteristic
89C2×C4⋊Dic11C2×C411yescharacteristic
90C2×C4⋊Dic11C2×C411yescharacteristic
91C2×Dic11⋊C4C2×C411yescharacteristic
92C2×Dic11⋊C4C2×C411yescharacteristic
93C2×Dic11⋊C4C2×C411yescharacteristic
94C2×Dic11⋊C4C2×C411yescharacteristic
95C2×Dic11⋊C4C2×C411yescharacteristic
96C2×Dic11⋊C4C2×C411yescharacteristic
97C2×Dic11⋊C4C2×C411yescharacteristic
98C2×Dic11⋊C4C2×C411yescharacteristic
99C2×Dic11⋊C4C2×C411yescharacteristic
100C2×Dic11⋊C4C2×C411yescharacteristic
101C2×C4×Dic11C2×C411yescharacteristic
102C2×C4×Dic11C2×C411yescharacteristic
103C2×C4×Dic11C2311yescharacteristic
104C2×C4×Dic11C2311yescharacteristic
105C2×C4×Dic11C2311yescharacteristic
106C22×C11⋊C8C2311yescharacteristic
107C22×C11⋊C8C2311yescharacteristic
108C22×C11⋊C8C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110#66950—24no—
111#66949—24no—
112#66949—24no—
113#66942—24no—
114#66942—24no—
115#66941—24no—
116#66925—22no—
117#66925—22no—
118#66925D414yes—
119#66925D414yes—
120C42×D11—22no—
121C42×D11—22no—
122C4×Dic22—22no—
123C4×Dic22—22no—
124C4×Dic22—22no—
125C4×Dic22—22no—
126C4×Dic22—22no—
127C4×Dic22—22no—
128C11×C4⋊C8—22no—
129C4×C8×C11—22no—
130(C2×D11)⋊C8—22no—
131(C2×D11)⋊C8—22no—
132(C2×D11)⋊C8—22no—
133(C2×D11)⋊C8—22no—
134#66879—22no—
135Dic11⋊C8—22no—
136Dic11⋊C8—22no—
137C8×Dic11—22no—
138C4⋊(C11⋊C8)—22no—
139#66867—22no—
140#21824—111nomaximal, Sylow
141C23×D11C22×C411yescharacteristic
142C2×Q8×C11—22no—
143C2×Q8×C11—22no—
144C2×Q8×C11—41no—
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×C11C2411yescharacteristic
152C22×Dic11C22×C411yescharacteristic
153C22×Dic11C22×C411yescharacteristic
154C22×Dic11C22×C411yescharacteristic
155C22×Dic11C22×C411yescharacteristic
156C22×Dic11C22×C411yescharacteristic
157C22×Dic11C22×C411yescharacteristic
158C22×Dic11C22×C411yescharacteristic
159C2×C4×D11—22no—
160C2×C4×D11—22no—
161C2×C4×D11—22no—
162C2×C4×D11—22no—
163C2×C4×D11—21no—
164C2×C4×D11—21no—
165C2×C4×D11—21no—
166C2×C4×D11—21no—
167C2×C4×D11—41no—
168C2×C4×D11—41no—
169C2×C4×D11C2×D412yes—
170C2×C4×D11C2×D412yes—
171C2×Dic22—22no—
172C2×Dic22—22no—
173C2×Dic22—22no—
174C2×Dic22—22no—
175C2×Dic22—22no—
176C2×Dic22—22no—
177C2×Dic22—41no—
178C2×Dic22—41no—
179C2×Dic22—41no—
180C2×C8×C11—21no—
181C2×C8×C11—21no—
182C2×C8×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C11×C4⋊C4—22no—
193C11×C4⋊C4—22no—
194C11×C4⋊C4—22no—
195C42×C11—21no—
196C42×C11—21no—
197C42×C11—21no—
198C42×C11—21no—
199C42×C11C2×D412yes—
200C42×C11C2×D412yes—
201(C2×D11)⋊C4—22no—
202(C2×D11)⋊C4—22no—
203(C2×D11)⋊C4C22⋊C414yes—
204(C2×D11)⋊C4C22⋊C414yes—
205C4⋊Dic11—22no—
206C4⋊Dic11—22no—
207C4⋊Dic11—22no—
208Dic11⋊C4—22no—
209Dic11⋊C4—22no—
210Dic11⋊C4—22no—
211Dic11⋊C4—22no—
212Dic11⋊C4—22no—
213Dic11⋊C4—22no—
214Dic11⋊C4—22no—
215Dic11⋊C4—22no—
216Dic11⋊C4C22⋊C414yes—
217Dic11⋊C4C22⋊C414yes—
218C4×Dic11—22no—
219C4×Dic11—22no—
220C4×Dic11—21no—
221C4×Dic11—21no—
222C4×Dic11—21no—
223C4×Dic11—21no—
224C4×Dic11C2×D412yes—
225C4×Dic11C2×D412yes—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
233C2×C11⋊C8—21no—
234C2×C11⋊C8—21no—
235C2×C11⋊C8—21no—
236C2×C11⋊C8—21no—
237C2×C11⋊C8—21no—
238C2×#533—111no—
239C2×#433—111no—
240C2×#433—111no—
241#1985—111no—
242#1985—111no—
243#1985—111no—
244#1985—111no—
245#1984—111no—
246#1984—111no—
247#1984—111no—
248#1984D1111yescharacteristic, complemented
249#1818—111no—
250#1818—111no—
251#1817—111no—
252#1817—111no—
253C23×C11C23×C411yescharacteristic
254C22×D11—21no—
255C22×D11—21no—
256C22×D11—21no—
257C22×D11—21no—
258C22×D11—21no—
259C22×D11—21no—
260C22×D11C2×C22⋊C412yes—
261Q8×C11—44no—
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—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11C2×C22⋊C412yes—
278C2×C4×C11C2×C22⋊C412yes—
279C2×C4×C11#13112yes—
280C2×C4×C11C22×D411yescharacteristic
281C2×C4×C11C22×D411yescharacteristic
282C2×C4×C112−1+411yescharacteristic
283C2×C4×C112−1+411yescharacteristic
284C2×C4×C112−1+411yescharacteristic
285C2×C4×C112−1+411yescharacteristic
286C2×Dic11—21no—
287C2×Dic11—21no—
288C2×Dic11—21no—
289C2×Dic11—21no—
290C2×Dic11—21no—
291C2×Dic11—21no—
292C2×Dic11—21no—
293C2×Dic11—21no—
294C2×Dic11—21no—
295C2×Dic11—21no—
296C2×Dic11—21no—
297C2×Dic11—21no—
298C2×Dic11—21no—
299C2×Dic11—21no—
300C2×Dic11—21no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11C2×C22⋊C412yes—
304C2×Dic11C2×C22⋊C412yes—
305C2×Dic11C2×C22⋊C412yes—
306C2×Dic11#13112yes—
307C4×D11—22no—
308C4×D11—22no—
309C4×D11—22no—
310C4×D11—22no—
311C4×D11—44no—
312C4×D11—44no—
313Dic22—44no—
314Dic22—44no—
315Dic22—44no—
316C8×C11—41no—
317C8×C11—41no—
318C8×C11—41no—
319C8×C11—41no—
320C11⋊C8—41no—
321C11⋊C8—41no—
322C11⋊C8—41no—
323C11⋊C8—41no—
324#533—224no—
325#533—224no—
326C2×C4⋊Q8—111no—
327C2×C4⋊Q8—111no—
328C2×#125—111no—
329C2×#125—111no—
330C2×C22⋊Q8—111no—
331C2×C22⋊Q8—111no—
332C2×C22⋊Q8—111no—
333C2×C22⋊Q8—111no—
334C2×C4×Q8—111no—
335C2×C4×Q8—111no—
336C2×C4×Q8—111no—
337C2×C4×Q8C2×D1111yescharacteristic
338C2×#117—111no—
339C2×#117—111no—
340C22×C42—111no—
341#433—224no—
342#433—224no—
343C2×C4⋊C8—111no—
344C2×C4⋊C8—111no—
345C2×C4⋊C8—111no—
346C2×C4⋊C8C2×D1111yescharacteristic
347C2×C22⋊C8—111no—
348C2×C22⋊C8—111no—
349C2×C22⋊C8—111no—
350C2×C22⋊C8—111no—
351C2×#97—111no—
352C2×#97—111no—
353C2×C4×C8—111no—
354C2×C4×C8C2×D1111yescharacteristic
355#336—111no—
356#336—111no—
357#336—111no—
358#336—111no—
359#336—111no—
360#336—111no—
361#336—111no—
362#336—111no—
363#336—111no—
364#336—111no—
365#336—111no—
366#336—111no—
367#336C2×D1111yescharacteristic
368#336C2×D1111yescharacteristic
369#336C2×D1111yescharacteristic
370#336C2×D1111yescharacteristic
371C22×C11C22×C22⋊C411yescharacteristic
372C22×C11#51911yescharacteristic
373C22×C11#51911yescharacteristic
374C22×C11C2×#13111yescharacteristic
375C22×C11C2×#13111yescharacteristic
376C22×C11#56811yescharacteristic
377C22×C11#56811yescharacteristic
378C2×D11—22no—
379C2×D11—22no—
380C2×D11—22no—
381C2×D11—41no—
382C2×D11—41no—
383C2×D11—41no—
384C2×D11—41no—
385C4×C11—22no—
386C4×C11—22no—
387C4×C11—22no—
388C4×C11—41no—
389C4×C11—41no—
390C4×C11—41no—
391C4×C11#53611yescharacteristic
392C4×C11#53611yescharacteristic
393C4×C11#53611yescharacteristic
394C4×C11#53611yescharacteristic
395Dic11—22no—
396Dic11—22no—
397Dic11—22no—
398Dic11—22no—
399Dic11—41no—
400Dic11—41no—
401Dic11—41no—
402C22×Q8—111no—
403C22×Q8—111no—
404C22×Q8—111no—
405C22×Q8C4×D1111yescharacteristic
406C23×C4—111no—
407C23×C4—111no—
408C23×C4—111no—
409C22×C8—111no—
410C22×C8—111no—
411C22×C8—111no—
412C22×C8—111no—
413C22×C8C22×D1111yescharacteristic
414C22×C8C22×D1111yescharacteristic
415C22×C8C22×D1111yescharacteristic
416C22×C8C22×D1111yescharacteristic
417C4⋊Q8—224no—
418C4⋊Q8—224no—
419#125—224no—
420#125—224no—
421C22⋊Q8—224no—
422C22⋊Q8—224no—
423C22⋊Q8—224no—
424C22⋊Q8—224no—
425C4×Q8—22no—
426C4×Q8—22no—
427C4×Q8—222no—
428C4×Q8—222no—
429C4×Q8—222no—
430C4×Q8—222no—
431C4×Q8—222no—
432C4×Q8—222no—
433#117—114no—
434#117—114no—
435#117—222no—
436#117—222no—
437C2×C4⋊C4—111no—
438C2×C4⋊C4—111no—
439C2×C4⋊C4—111no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—111no—
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⋊C4C4×D1111yescharacteristic
451C2×C4⋊C4C4×D1111yescharacteristic
452C2×C4⋊C4C4×D1111yescharacteristic
453C2×C22⋊C4—111no—
454C2×C22⋊C4—111no—
455C2×C22⋊C4—111no—
456C2×C22⋊C4—111no—
457C2×C42—111no—
458C2×C42—111no—
459C2×C42—111no—
460C2×C42—111no—
461C2×C42—111no—
462C2×C42—222no—
463C2×C42—222no—
464C2×C42C22×D1111yescharacteristic
465C2×C42C22×D1111yescharacteristic
466C2×C42C22×D1111yescharacteristic
467C4⋊C8—22no—
468C4⋊C8—222no—
469C4⋊C8—222no—
470C4⋊C8—222no—
471C22⋊C8—222no—
472C22⋊C8—222no—
473C22⋊C8—222no—
474C22⋊C8—222no—
475#97—222no—
476#97—222no—
477C4×C8—22no—
478C4×C8—222no—
479C2×C11#231011yescharacteristic
480C2×C11#288011yescharacteristic
481C2×C11#288011yescharacteristic
482C2×C11#298511yescharacteristic
483C2×C11#298511yescharacteristic
484C2×C11#298611yescharacteristic
485C2×C11#298711yescharacteristic
486D11—42no—
487C24—111no—
488C2×Q8—22no—
489C2×Q8—22no—
490C2×Q8—41no—
491C2×Q8—222no—
492C2×Q8—222no—
493C2×Q8—222no—
494C2×Q8—222no—
495C2×Q8—222no—
496C2×Q8—222no—
497C2×Q8—441no—
498C2×Q8—441no—
499C2×Q8—441no—
500C22×C4—111no—
501C22×C4—111no—
502C22×C4—111no—
503C22×C4—111no—
504C22×C4—112no—
505C22×C4—112no—
506C22×C4—111no—
507C22×C4—111no—
508C22×C4—111no—
509C22×C4—222no—
510C22×C4—222no—
511C22×C4—222no—
512C22×C4—221no—
513C22×C4—221no—
514C22×C4—221no—
515C22×C4—221no—
516C22×C4—222no—
517C22×C4—441no—
518C22×C4—441no—
519C22×C4C2×C4×D1111yescharacteristic
520C22×C4C2×C4×D1111yescharacteristic
521C22×C4C2×C4×D1111yescharacteristic
522C22×C4C2×C4×D1111yescharacteristic
523C22×C4C2×C4×D1111yescharacteristic
524C22×C4C2×C4×D1111yescharacteristic
525C22×C4C23×D1111yescharacteristic
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—221no—
539C2×C8—221no—
540C2×C8—221no—
541C2×C8—221no—
542C2×C8—221no—
543C2×C8—221no—
544C2×C8—221no—
545C2×C8—221no—
546C2×C8—221no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8—221no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—114no—
554C4⋊C4—114no—
555C4⋊C4—222no—
556C4⋊C4—222no—
557C4⋊C4—222no—
558C4⋊C4—222no—
559C4⋊C4—222no—
560C4⋊C4—222no—
561C4⋊C4—222no—
562C4⋊C4—222no—
563C4⋊C4—222no—
564C4⋊C4—222no—
565C4⋊C4—222no—
566C22⋊C4—114no—
567C22⋊C4—114no—
568C22⋊C4—222no—
569C22⋊C4—222no—
570C42—21no—
571C42—21no—
572C42—21no—
573C42—21no—
574C42—112no—
575C42—112no—
576C42—222no—
577C42—222no—
578C42—221no—
579C42—221no—
580C42—221no—
581C42—221no—
582C42D4×D1112yes—
583C42D4×D1112yes—
584C11#2182411yescharacteristic, complemented, Sylow
585C23—112no—
586C23—221no—
587C23—221no—
588C23—221no—
589C23—221no—
590C23—221no—
591C23—221no—
592C23C22×C4×D1111yescharacteristic
593Q8—44no—
594Q8—444no—
595Q8—444no—
596Q8—444no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—112no—
613C2×C4—112no—
614C2×C4—112no—
615C2×C4—112no—
616C2×C4—221no—
617C2×C4—221no—
618C2×C4—221no—
619C2×C4—221no—
620C2×C4—221no—
621C2×C4—221no—
622C2×C4—221no—
623C2×C4—221no—
624C2×C4—222no—
625C2×C4—222no—
626C2×C4—222no—
627C2×C4—222no—
628C2×C4—221no—
629C2×C4—221no—
630C2×C4—221no—
631C2×C4—221no—
632C2×C4—221no—
633C2×C4—221no—
634C2×C4—221no—
635C2×C4—221no—
636C2×C4—221no—
637C2×C4—444no—
638C2×C4—444no—
639C2×C4C22⋊C4×D1112yes—
640C2×C4C22⋊C4×D1112yes—
641C2×C4#6695412yes—
642C2×C4C2×D4×D1111yescharacteristic
643C2×C4C2×D4×D1111yescharacteristic
644C2×C4#6704011yescharacteristic
645C2×C4#6704011yescharacteristic
646C2×C4#6704311yescharacteristic
647C2×C4#6704311yescharacteristic
648C8—41no—
649C8—41no—
650C8—41no—
651C8—41no—
652C8—441no—
653C8—441no—
654C8—441no—
655C8—441no—
656C22—222no—
657C22—222no—
658C22—222no—
659C22—441no—
660C22—441no—
661C22—441no—
662C22—441no—
663C22C2×C22⋊C4×D1111yescharacteristic
664C22#1062310311yescharacteristic
665C22#1062310311yescharacteristic
666C22C2×#6695411yescharacteristic
667C22#1062327611yescharacteristic
668C22D11×#13111yescharacteristic
669C22#1062328111yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—41no—
674C4—41no—
675C4—41no—
676C4—222no—
677C4—222no—
678C4—222no—
679C4—222no—
680C4—441no—
681C4—441no—
682C4—441no—
683C4#1062315911yescharacteristic
684C4#1062315911yescharacteristic
685C4#1062320611yescharacteristic
686C4#1062325511yescharacteristic
687C2—442no—
688C2#1307119911yescharacteristic
689C2#1307706211yescharacteristic
690C2#1307706411yescharacteristic
691C2#1307770711yescharacteristic
692C2#1307770911yescharacteristic
693C2#1307771611yescharacteristic
694C2#1307771911yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D11
commutator, socleC23×C11C23×C4
FittingC11×#1984C2
prime radicalC23×D11C22×C4
cosocleC22×C4×C11C24
hypercenter#1984D11
hypocenterC11#21824
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #1984

Complements

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

NH ≅ G/Ntype
4. #13069557C2semidirect
5. #13069555C2semidirect
6. #13069554C2semidirect
7. #13069554C2semidirect
8. #13069552C2semidirect
9. #13069550C2semidirect
10. #13069550C2semidirect
15. C11×#1984C2semidirect
248. #1984D11semidirect
584. C11#21824semidirect

Maximal subgroups

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

subgroupindex
C2×#106231092
C2×#106224532
C2×#106223032
#130695572
#130695552
#130695542
#130695522
#130695502
#130686862
#130686832
C11×#19842
#2182411