Finite Group Databasebeta

← #14790141

Subgroups — #14790141

Order 2816.

1330 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×Dic22C211yesmaximal, characteristic, complemented
2C2×#10622372C211yesmaximal, characteristic, complemented
3C2×D8×Dic11C211yesmaximal, characteristic
4#13073536C211yesmaximal, characteristic, complemented
5#13069945C211yesmaximal, characteristic, complemented
6#13069943C211yesmaximal, characteristic, complemented
7#13069752C211yesmaximal, characteristic, complemented
8#13069750C211yesmaximal, characteristic, complemented
9#13069575C211yesmaximal, characteristic, complemented
10#13069550C211yesmaximal, characteristic, complemented
11#13068966C211yesmaximal, characteristic
12#13068865C211yesmaximal, characteristic, complemented
13#13068863C211yesmaximal, characteristic, complemented
14#13068614C211yesmaximal, characteristic, complemented
15C11×#1879C211yesmaximal, characteristic
16C23×Dic22—21no—
17C22×C11×D8C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C2×D4×Dic11C2211yescharacteristic
20C2×D4×Dic11C2211yescharacteristic
21C2×D4×Dic11C2211yescharacteristic
22C2×#66977—21no—
23D4×Dic22—24no—
24D4×Dic22—24no—
25C2×#66941C2211yescharacteristic
26C2×#66941C2211yescharacteristic
27C2×#66931—21no—
28C2×#66931—21no—
29C2×#66931—21no—
30C2×#66922C2211yescharacteristic
31C2×C4×Dic22C2211yescharacteristic
32C2×C11×#102C2211yescharacteristic
33C2×C11×#102C2211yescharacteristic
34C11×#390C2211yescharacteristic
35#10622834C2211yescharacteristic
36C2×#66896C2211yescharacteristic
37C2×#66896C2211yescharacteristic
38C2×#66896C2211yescharacteristic
39C2×#66896C2211yescharacteristic
40D8×Dic11—24no—
41C2×#66882C2211yescharacteristic
42C2×#66882C2211yescharacteristic
43C2×Dic11⋊C8C2211yescharacteristic
44C2×C8×Dic11C2211yescharacteristic
45#10622598C2211yescharacteristic
46#10622589C2211yescharacteristic
47C2×#66871C2211yescharacteristic
48#10622561—21no—
49#10622561—21no—
50#10622555—21no—
51#10622541C2211yescharacteristic
52#10622372—24no—
53C11×#340C2211yescharacteristic
54C11×#336C2211yescharacteristic
55#10622189C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622188C2211yescharacteristic
58#10622188C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62#10622162C2211yescharacteristic
63C22×D4×C11C2311yescharacteristic
64C22×D4×C11C2311yescharacteristic
65C23×C4×C11—21no—
66C23×Dic11—21no—
67C23×Dic11—21no—
68C23×Dic11—21no—
69C22×Dic22—28no—
70C22×Dic22—21no—
71C22×Dic22—21no—
72C22×Dic22—21no—
73C22×Dic22—44no—
74C22×Dic22—44no—
75C22×Dic22D411yescharacteristic
76C2×C11×D8—22no—
77C2×C11×D8—22no—
78C2×C11×D8Q814yescomplemented
79C22×C8×C11C2311yescharacteristic
80C22×C8×C11C2311yescharacteristic
81C4×D4×C11—22no—
82C4×D4×C11—22no—
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C11×C22⋊C4—21no—
86C2×C11×C22⋊C4—21no—
87C2×C11×C22⋊C4—21no—
88C2×C42×C11C2311yescharacteristic
89C2×C22⋊Dic11—21no—
90C2×C22⋊Dic11—21no—
91C2×C22⋊Dic11—21no—
92C2×C22⋊Dic11—21no—
93C2×C22⋊Dic11—21no—
94D4×Dic11—22no—
95D4×Dic11—22no—
96D4×Dic11—22no—
97D4×Dic11—22no—
98D4×Dic11—22no—
99D4×Dic11D414yes—
100C2×C4⋊Dic11—21no—
101C2×C4⋊Dic11—21no—
102C2×C4⋊Dic11D411yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4⋊Dic11C2311yescharacteristic
106C2×C4⋊Dic11C2311yescharacteristic
107#66977—28no—
108C2×Dic11⋊C4—21no—
109C2×Dic11⋊C4—21no—
110C2×Dic11⋊C4—21no—
111C2×Dic11⋊C4—21no—
112C2×Dic11⋊C4—21no—
113C2×Dic11⋊C4D411yescharacteristic
114C2×Dic11⋊C4D411yescharacteristic
115C2×C4×Dic11C2311yescharacteristic
116C2×C4×Dic11C2311yescharacteristic
117C22×C11⋊C8C2311yescharacteristic
118C22×C11⋊C8C2311yescharacteristic
119#66941—22no—
120#66941—22no—
121#66941—22no—
122#66941D414yes—
123#66931—28no—
124#66931—28no—
125#66931—44no—
126#66922—22no—
127#66922—22no—
128C4×Dic22—22no—
129C4×Dic22—22no—
130C11×#102—22no—
131C11×#102—22no—
132#66896—22no—
133#66896—22no—
134#66896—22no—
135#66896—22no—
136C11⋊#95—21no—
137C11⋊#95—21no—
138#66882—22no—
139#66882—22no—
140Dic11⋊C8—22no—
141C8×Dic11—22no—
142#66871—22no—
143#24326—111nomaximal, Sylow
144C24×C11—21no—
145C24×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11—21no—
150C2×D4×C11—21no—
151C2×D4×C11—21no—
152C2×D4×C11—21no—
153C2×D4×C11—21no—
154C2×D4×C11C2×D412yes—
155C2×D4×C11C2×Q812yes—
156C2×D4×C11C2×Q812yescomplemented
157C2×D4×C11#4112yes—
158C22×C4×C11—24no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—42no—
162C22×C4×C11—42no—
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2411yescharacteristic
166C22×Dic11—24no—
167C22×Dic11—24no—
168C22×Dic11—21no—
169C22×Dic11—21no—
170C22×Dic11—21no—
171C22×Dic11—21no—
172C22×Dic11—42no—
173C22×Dic11—42no—
174C22×Dic11—42no—
175C22×Dic11—42no—
176C22×Dic11—42no—
177C22×Dic11—42no—
178C22×Dic11—42no—
179C22×Dic11C2×D411yescharacteristic
180C22×Dic11C2×D411yescharacteristic
181C22×Dic11C2×D411yescharacteristic
182C22×Dic11C2×D411yescharacteristic
183C2×Dic22—22no—
184C2×Dic22—22no—
185C2×Dic22—24no—
186C2×Dic22—24no—
187C2×Dic22—24no—
188C2×Dic22—42no—
189C2×Dic22—432no—
190C2×Dic22—42no—
191C2×Dic22—42no—
192C2×Dic22—42no—
193C2×Dic22—42no—
194C2×Dic22—42no—
195C2×Dic22D814yescomplemented
196C11×D8—28no—
197C2×C8×C11—21no—
198C2×C8×C11—21no—
199C2×C8×C11—21no—
200C2×C8×C11—21no—
201C2×C8×C11—21no—
202C2×C8×C11C2×Q812yescomplemented
203C11×C4⋊C4—21no—
204C11×C4⋊C4—21no—
205C11×C4⋊C4—21no—
206C11×C4⋊C4C2×D412yes—
207C11×C22⋊C4—24no—
208C11×C22⋊C4—42no—
209C11×C22⋊C4—81no—
210C42×C11—21no—
211C42×C11—21no—
212C22⋊Dic11—24no—
213C22⋊Dic11—24no—
214C22⋊Dic11—42no—
215C22⋊Dic11—42no—
216C22⋊Dic11—81no—
217C4⋊Dic11—24no—
218C4⋊Dic11—22no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11—21no—
223C4⋊Dic11—21no—
224C4⋊Dic11—21no—
225C4⋊Dic11—42no—
226C4⋊Dic11C2×D412yes—
227C4⋊Dic11C2×D412yes—
228Dic11⋊C4—24no—
229Dic11⋊C4—22no—
230Dic11⋊C4—22no—
231Dic11⋊C4—24no—
232Dic11⋊C4—42no—
233Dic11⋊C4—42no—
234Dic11⋊C4—81no—
235C4×Dic11—21no—
236C4×Dic11—21no—
237C4×Dic11C2×D412yes—
238C4×Dic11C2×D412yes—
239C2×C11⋊C8—21no—
240C2×C11⋊C8—21no—
241C2×C11⋊C8—21no—
242C2×C11⋊C8—21no—
243C2×C11⋊C8—21no—
244C2×C11⋊C8—21no—
245C2×D4×Q8—111no—
246C2×#474—111no—
247C2×C4×D8—111no—
248#2538—111no—
249#2057—111no—
250#2057—111no—
251#2023—111no—
252#2023—111no—
253#1990—111no—
254#1984—111no—
255#1879—111no—
256#1879D1111yescharacteristic
257#1862—111no—
258#1862—111no—
259#1802—111no—
260C23×C11—22no—
261C23×C11—22no—
262C23×C11—22no—
263C23×C11—22no—
264C23×C11—41no—
265C23×C11—41no—
266C23×C11—41no—
267C23×C11—41no—
268C23×C11—41no—
269C23×C11—41no—
270C23×C11—41no—
271C23×C11—41no—
272C23×C11—41no—
273C23×C11—41no—
274C23×C11C22×D411yescharacteristic
275D4×C11—22no—
276D4×C11—22no—
277D4×C11—22no—
278D4×C11—22no—
279D4×C11—22no—
280D4×C11—41no—
281D4×C11—41no—
282D4×C11C22⋊Q814yescomplemented
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—22no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—48no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11C2×D812yes—
296C2×C4×C11C22×D411yescharacteristic
297C2×C4×C11C22×D411yescharacteristic
298C2×C4×C11C22×Q811yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C112−1+411yescharacteristic
301C2×C4×C112−1+411yescharacteristic
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—21no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—21no—
310C2×Dic11—21no—
311C2×Dic11—48no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—48no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—41no—
323C2×Dic11—84no—
324C2×Dic11#12012yes—
325C2×Dic11#12012yes—
326C2×Dic11C2×D812yes—
327C2×Dic11C2×D812yes—
328C2×Dic11AGL(1,ℤ/8)12yes—
329Dic22—28no—
330Dic22—48no—
331Dic22—48no—
332Dic22—48no—
333C8×C11—22no—
334C8×C11—41no—
335C11⋊C8—41no—
336C11⋊C8—41no—
337C23×Q8—221no—
338C22×D8C2×D1111yescharacteristic
339D4×Q8—224no—
340D4×Q8—224no—
341C2×C4⋊Q8—111no—
342C2×C4⋊Q8—111no—
343C2×C4⋊Q8—111no—
344C2×C22⋊Q8—221no—
345C2×C22⋊Q8—221no—
346C2×C22⋊Q8—221no—
347C2×C22⋊Q8—221no—
348C2×C4×Q8—111no—
349C2×C4×D4—111no—
350C2×C4×D4—111no—
351C2×C4×D4—111no—
352C2×C4×D4C2×D1111yescharacteristic
353#474—224no—
354C4×D8—224no—
355C2×#107—111no—
356C2×#107—111no—
357C2×#107—111no—
358C2×C4⋊C8—111no—
359C2×#102—111no—
360C2×#102—111no—
361C2×#102—111no—
362C2×#102—111no—
363C2×#102C2×D1111yescharacteristic
364C2×#102C2×D1111yescharacteristic
365C2×C4×C8—111no—
366#396—221no—
367#396—221no—
368#390—111no—
369#390C2×D1111yescharacteristic
370#389—111no—
371#389—111no—
372#384—111no—
373#380—221no—
374#340—111no—
375#340—111no—
376#340—111no—
377#340—111no—
378#340—111no—
379#340C2×D1111yescharacteristic
380#336—111no—
381#336—111no—
382#336—111no—
383#336C2×D1111yescharacteristic
384C22×C11—24no—
385C22×C11—42no—
386C22×C11—42no—
387C22×C11—42no—
388C22×C11—42no—
389C22×C11—42no—
390C22×C11—42no—
391C22×C11—42no—
392C22×C11—42no—
393C22×C11—42no—
394C22×C11—81no—
395C22×C11—81no—
396C22×C11—81no—
397C22×C11—81no—
398C22×C11C2×#12011yescharacteristic
399C22×C11#54811yescharacteristic
400C22×C11D4×Q811yescharacteristic
401C22×C11C22×D811yescharacteristic
402C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
403C22×C11#57711yescharacteristic
404C22×C11#57811yescharacteristic
405C4×C11—22no—
406C4×C11—42no—
407C4×C11—41no—
408C4×C11—81no—
409C4×C11C2×C22⋊Q811yescharacteristic
410C4×C11#53611yescharacteristic
411C4×C11#54811yescharacteristic
412C4×C11D4×Q811yescharacteristic
413Dic11—22no—
414Dic11—22no—
415Dic11—42no—
416Dic11—42no—
417Dic11—41no—
418Dic11—81no—
419Dic11—81no—
420Dic11#44714yes—
421C22×Q8—111no—
422C22×Q8—221no—
423C22×Q8—221no—
424C22×Q8—228no—
425C22×Q8—221no—
426C22×Q8—444no—
427C22×Q8—444no—
428C22×D4C22×D1111yescharacteristic
429C22×D4C22×D1111yescharacteristic
430C23×C4—21no—
431C23×C4—221no—
432C23×C4—221no—
433C23×C4—221no—
434C2×D8—22no—
435C2×D8—22no—
436C2×D8Dic2214yescomplemented
437C22×C8—111no—
438C22×C8—111no—
439C22×C8C22×D1111yescharacteristic
440C22×C8C22×D1111yescharacteristic
441C4⋊Q8—114no—
442C4⋊Q8—222no—
443C4⋊Q8—222no—
444C4⋊Q8—222no—
445C4⋊Q8—222no—
446C4⋊Q8—222no—
447C22⋊Q8—228no—
448C22⋊Q8—228no—
449C22⋊Q8—228no—
450C22⋊Q8—444no—
451C4×Q8—222no—
452C4×Q8—222no—
453C4×D4—22no—
454C4×D4—22no—
455C4×D4—114no—
456C4×D4—222no—
457C4×D4—222no—
458C4×D4—222no—
459C4×D4—222no—
460C4×D4—222no—
461C2×C4⋊C4—111no—
462C2×C4⋊C4—111no—
463C2×C4⋊C4—111no—
464C2×C4⋊C4—111no—
465C2×C4⋊C4—111no—
466C2×C4⋊C4—111no—
467C2×C4⋊C4—111no—
468C2×C4⋊C4—221no—
469C2×C4⋊C4—221no—
470C2×C4⋊C4—221no—
471C2×C4⋊C4—221no—
472C2×C4⋊C4—221no—
473C2×C4⋊C4—221no—
474C2×C4⋊C4—221no—
475C2×C4⋊C4C22×D1111yescharacteristic
476C2×C4⋊C4C22×D1111yescharacteristic
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—221no—
481C2×C22⋊C4—221no—
482C2×C22⋊C4—221no—
483C2×C22⋊C4—221no—
484C2×C22⋊C4—221no—
485C2×C42—111no—
486C2×C42—111no—
487C2×C42C22×D1111yescharacteristic
488#107—222no—
489#107—222no—
490#107—222no—
491C4⋊C8—222no—
492#102—22no—
493#102—22no—
494#102—222no—
495#102—222no—
496#102—222no—
497#102—222no—
498C4×C8—222no—
499#95—221no—
500#95—221no—
501C2×C11—44no—
502C2×C11—82no—
503C2×C11#240911yescharacteristic
504C2×C11C2×#44711yescharacteristic
505C2×C11#301311yescharacteristic
506C2×C11#335811yescharacteristic
507C2×C11#336711yescharacteristic
508C2×C11Q8×D811yescharacteristic
509C2×C11#338411yescharacteristic
510C24—21no—
511C24—21no—
512C2×Q8—114no—
513C2×Q8—222no—
514C2×Q8—222no—
515C2×Q8—224no—
516C2×Q8—224no—
517C2×Q8—224no—
518C2×Q8—442no—
519C2×Q8—442no—
520C2×Q8—442no—
521C2×Q8—442no—
522C2×Q8—442no—
523C2×Q8—4432no—
524C2×Q8—442no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4C2×Dic2212yes—
534C2×D4C2×Dic2212yescomplemented
535C2×D4D4×D1112yes—
536C2×D4#434112yes—
537C22×C4—24no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—111no—
543C22×C4—111no—
544C22×C4—111no—
545C22×C4—111no—
546C22×C4—224no—
547C22×C4—224no—
548C22×C4—221no—
549C22×C4—221no—
550C22×C4—221no—
551C22×C4—221no—
552C22×C4—442no—
553C22×C4—442no—
554C22×C4—442no—
555C22×C4—442no—
556C22×C4—442no—
557C22×C4—442no—
558C22×C4—442no—
559C22×C4D4×D1111yescharacteristic
560C22×C4D4×D1111yescharacteristic
561C22×C4C23×D1111yescharacteristic
562D8—28no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—221no—
569C2×C8—221no—
570C2×C8—221no—
571C2×C8—221no—
572C2×C8—221no—
573C2×C8—221no—
574C2×C8C2×Dic2212yescomplemented
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—112no—
579C4⋊C4—112no—
580C4⋊C4—222no—
581C4⋊C4—222no—
582C4⋊C4—222no—
583C4⋊C4—224no—
584C4⋊C4—224no—
585C4⋊C4—224no—
586C4⋊C4—221no—
587C4⋊C4—221no—
588C4⋊C4—221no—
589C4⋊C4—221no—
590C4⋊C4—221no—
591C4⋊C4—221no—
592C4⋊C4—442no—
593C4⋊C4—442no—
594C4⋊C4—442no—
595C4⋊C4—881no—
596C4⋊C4D4×D1112yes—
597C22⋊C4—24no—
598C22⋊C4—42no—
599C22⋊C4—81no—
600C22⋊C4—224no—
601C22⋊C4—224no—
602C22⋊C4—442no—
603C22⋊C4—442no—
604C22⋊C4—881no—
605C42—21no—
606C42—21no—
607C42—112no—
608C42—112no—
609C42—221no—
610C42—221no—
611C11#2432611yescharacteristic, complemented, Sylow
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23C2×D4×D1111yescharacteristic
627Q8—228no—
628Q8—448no—
629Q8—448no—
630Q8—448no—
631D4—22no—
632D4—22no—
633D4—22no—
634D4—22no—
635D4—22no—
636D4—41no—
637D4—41no—
638D4#6693114yescomplemented
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—48no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—112no—
652C2×C4—112no—
653C2×C4—112no—
654C2×C4—112no—
655C2×C4—112no—
656C2×C4—221no—
657C2×C4—221no—
658C2×C4—221no—
659C2×C4—221no—
660C2×C4—221no—
661C2×C4—221no—
662C2×C4—221no—
663C2×C4—222no—
664C2×C4—222no—
665C2×C4—448no—
666C2×C4—448no—
667C2×C4—441no—
668C2×C4—441no—
669C2×C4—441no—
670C2×C4—441no—
671C2×C4—441no—
672C2×C4—441no—
673C2×C4—441no—
674C2×C4—441no—
675C2×C4—441no—
676C2×C4—441no—
677C2×C4—884no—
678C2×C4D8×D1112yes—
679C2×C4C22×Dic2211yescharacteristic
680C2×C4C2×D4×D1111yescharacteristic
681C2×C4C2×D4×D1111yescharacteristic
682C2×C4C2×#434111yescharacteristic
683C2×C4#6704311yescharacteristic
684C2×C4#6704311yescharacteristic
685C8—22no—
686C8—41no—
687C8—441no—
688C8—441no—
689C22—24no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—81no—
703C22D4×Dic2211yescharacteristic
704C22D11×#12011yescharacteristic
705C22#1062312911yescharacteristic
706C22C2×D8×D1111yescharacteristic
707C22#1062330211yescharacteristic
708C22D11×AGL(1,ℤ/8)11yescharacteristic
709C22#1062330611yescharacteristic
710C4—22no—
711C4—42no—
712C4—41no—
713C4—81no—
714C4—114no—
715C4—222no—
716C4—222no—
717C4—442no—
718C4—442no—
719C4—441no—
720C4—881no—
721C4—881no—
722C4C2×#6693111yescharacteristic
723C4D4×Dic2211yescharacteristic
724C4#1062312911yescharacteristic
725C4#1062317911yescharacteristic
726C2—44no—
727C2—82no—
728C2#1307197811yescharacteristic
729C2D11×#44711yescharacteristic
730C2#1307792911yescharacteristic
731C2#1308124611yescharacteristic
732C2#1308132911yescharacteristic
733C2D8×Dic2211yescharacteristic
734C2#1308151611yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#1879C2
socleC23×C11C22×D4
prime radicalC22×C11×D8C22
hypercenter#1879D11
hypocenterC11#24326
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1879

Complements

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

NH ≅ G/Ntype
1. C2×D4×Dic22C2semidirect
2. C2×#10622372C2semidirect
4. #13073536C2semidirect
5. #13069945C2semidirect
6. #13069943C2semidirect
7. #13069752C2semidirect
8. #13069750C2semidirect
9. #13069575C2semidirect
10. #13069550C2semidirect
12. #13068865C2semidirect
13. #13068863C2semidirect
14. #13068614C2semidirect
78. C2×C11×D8Q8semidirect
156. C2×D4×C11C2×Q8semidirect
195. C2×Dic22D8semidirect
202. C2×C8×C11C2×Q8semidirect
282. D4×C11C22⋊Q8semidirect
436. C2×D8Dic22semidirect
534. C2×D4C2×Dic22semidirect
574. C2×C8C2×Dic22semidirect
611. C11#24326semidirect
638. D4#66931semidirect

Maximal subgroups

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

subgroupindex
C2×D4×Dic222
C2×#106223722
C2×D8×Dic112
#130735362
#130699452
#130699432
#130697522
#130697502
#130695752
#130695502
#130689662
#130688652
#130688632
#130686142
C11×#18792
#2432611