Finite Group Databasebeta

← C4×#10622285 #14675573

Subgroups — C4×#10622285 #14675573

Order 2816.

2550 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D44C211yesmaximal, characteristic
2C2×#10622285C211yesmaximal, characteristic
3C2×C4×Dic11⋊C4C211yesmaximal, characteristic, complemented
4C2×C4×(C2×D11)⋊C4C212yesmaximal, complemented
5C2×C4×(C2×D11)⋊C4C212yesmaximal, complemented
6#13066873C211yesmaximal, characteristic, complemented
7#13066870C211yesmaximal, characteristic, complemented
8#13066864C212yesmaximal, complemented
9#13066860C212yesmaximal, complemented
10#13066856C211yesmaximal, characteristic
11C4×C11×#95C211yesmaximal, characteristic, complemented
12C23×D44C2211yescharacteristic
13C23×C4×D11C2212yes—
14C22×C42×C11C2212yes—
15C22×C42×C11C2211yescharacteristic
16C22×(C2×D11)⋊C4C2212yes—
17C22×(C2×D11)⋊C4C2212yes—
18C22×(C2×D11)⋊C4C2212yes—
19C22×(C2×D11)⋊C4C2212yes—
20C22×(C2×D11)⋊C4C2212yes—
21C22×C4⋊Dic11C2211yescharacteristic
22C22×Dic11⋊C4C2211yescharacteristic
23C22×Dic11⋊C4C2211yescharacteristic
24C22×C4×Dic11C2211yescharacteristic
25C22×C4×Dic11C2211yescharacteristic
26C2×C4×D44—28no—
27C2×C4×D44—24no—
28C2×C11×#95C2211yescharacteristic
29C2×C11×#95C2212yes—
30C2×C11×#95C2211yescharacteristic
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2211yescharacteristic
36C2×C11⋊#95C2211yescharacteristic
37C4×(C2×D11)⋊C4—28no—
38C4×(C2×D11)⋊C4—28no—
39C4×Dic11⋊C4—24no—
40#10622285C418yesdirect product factor
41C24×D11C2312yes—
42C23×C4×C11C2312yes—
43C23×C4×C11C2311yescharacteristic
44C23×C4×C11C2312yes—
45C23×C4×C11C2311yescharacteristic
46C23×C4×C11C2311yescharacteristic
47C23×Dic11C2311yescharacteristic
48C23×Dic11C2311yescharacteristic
49C23×Dic11C2312yes—
50C23×Dic11C2311yescharacteristic
51C23×Dic11C2311yescharacteristic
52C22×D44—24no—
53C22×D44—24no—
54C22×D44—22no—
55C22×D44—22no—
56C22×D44C2×C414yes—
57C22×C4×D11—24no—
58C22×C4×D11—24no—
59C22×C4×D11—24no—
60C22×C4×D11—24no—
61C22×C4×D11—24no—
62C22×C4×D11—24no—
63C22×C4×D11D418yes—
64C2×C42×C11—24no—
65C2×C42×C11—24no—
66C2×C42×C11—24no—
67C2×C42×C11—24no—
68C2×C42×C11D414yes—
69C2×(C2×D11)⋊C4—24no—
70C2×(C2×D11)⋊C4—24no—
71C2×(C2×D11)⋊C4—24no—
72C2×(C2×D11)⋊C4—24no—
73C2×(C2×D11)⋊C4—24no—
74C2×(C2×D11)⋊C4—24no—
75C2×(C2×D11)⋊C4—24no—
76C2×(C2×D11)⋊C4—24no—
77C2×(C2×D11)⋊C4—24no—
78C2×(C2×D11)⋊C4—24no—
79C2×(C2×D11)⋊C4—24no—
80C2×(C2×D11)⋊C4—24no—
81C2×(C2×D11)⋊C4—24no—
82C2×(C2×D11)⋊C4C2×C418yescomplemented
83C2×(C2×D11)⋊C4C2×C418yescomplemented
84C2×C4⋊Dic11—22no—
85C2×C4⋊Dic11—24no—
86C2×Dic11⋊C4—22no—
87C2×Dic11⋊C4—22no—
88C2×Dic11⋊C4—22no—
89C2×Dic11⋊C4—22no—
90C2×Dic11⋊C4—22no—
91C2×Dic11⋊C4C2×C414yescomplemented
92C2×C4×Dic11—22no—
93C2×C4×Dic11—22no—
94C2×C4×Dic11—22no—
95C2×C4×Dic11—24no—
96C2×C4×Dic11D414yescomplemented
97C4×D44—232no—
98C11×#95—24no—
99C11×#95—22no—
100C11×#95C2×C414yescomplemented
101C11⋊#95—22no—
102C11⋊#95—22no—
103C11⋊#95—24no—
104C11⋊#95—24no—
105C11⋊#95—24no—
106C11⋊#95—24no—
107C4×#394—111nomaximal, Sylow
108C24×C11C2411yescharacteristic
109C23×D11—22no—
110C23×D11—22no—
111C23×D11—22no—
112C23×D11—22no—
113C23×D11—22no—
114C23×D11—22no—
115C23×D11—22no—
116C23×D11—22no—
117C23×D11—22no—
118C23×D11—22no—
119C23×D11—22no—
120C23×D11—22no—
121C23×D11C22×C414yes—
122C23×D11C2×D414yes—
123C23×D11#4114yes—
124C22×C4×C11—22no—
125C22×C4×C11—22no—
126C22×C4×C11—22no—
127C22×C4×C11—22no—
128C22×C4×C11—22no—
129C22×C4×C11—22no—
130C22×C4×C11—22no—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—22no—
134C22×C4×C11—21no—
135C22×C4×C11—21no—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11—22no—
142C22×C4×C11C22×C414yes—
143C22×C4×C11C22×C412yes—
144C22×C4×C11C2×D412yes—
145C22×C4×C11C2×D412yes—
146C22×C4×C11C2×D414yes—
147C22×C4×C11C2×D412yes—
148C22×C4×C11C2×D412yes—
149C22×C4×C11#4114yes—
150C22×C4×C11#4112yes—
151C22×C4×C11#4112yes—
152C22×C4×C11#4114yes—
153C22×Dic11—21no—
154C22×Dic11—21no—
155C22×Dic11—22no—
156C22×Dic11—21no—
157C22×Dic11—21no—
158C22×Dic11—22no—
159C22×Dic11—22no—
160C22×Dic11—22no—
161C22×Dic11—22no—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—22no—
169C22×Dic11—22no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11—22no—
175C22×Dic11C22×C412yes—
176C22×Dic11C22×C412yes—
177C22×Dic11C2×D412yes—
178C22×Dic11C2×D414yes—
179C22×Dic11C2×D412yes—
180C22×Dic11#4112yes—
181C22×Dic11#4112yes—
182C2×D44—28no—
183C2×D44—28no—
184C2×D44—216no—
185C2×D44—216no—
186C2×D44—28no—
187C2×C4×D11—216no—
188C2×C4×D11—216no—
189C2×C4×D11—216no—
190C2×C4×D11—48no—
191C2×C4×D11—48no—
192C2×C4×D11—48no—
193C2×C4×D11—48no—
194C42×C11—28no—
195C42×C11—48no—
196(C2×D11)⋊C4—216no—
197(C2×D11)⋊C4—216no—
198(C2×D11)⋊C4—216no—
199(C2×D11)⋊C4—216no—
200(C2×D11)⋊C4—216no—
201C4⋊Dic11—28no—
202Dic11⋊C4—28no—
203Dic11⋊C4—28no—
204C4×Dic11—28no—
205C4×Dic11—44no—
206C22×C4×D4—111no—
207C2×#394—111no—
208C2×C4×C4⋊C4—111no—
209C2×C4×C22⋊C4—112no—
210C2×C4×C22⋊C4—112no—
211#1442—111no—
212#1441—111no—
213#1440—112no—
214#1439—112no—
215#1438—111no—
216C4×#95D1111yescharacteristic, complemented
217C23×C11C23×C411yescharacteristic
218C23×C11C22×D411yescharacteristic
219C23×C11C22×D412yes—
220C23×C11C22×D411yescharacteristic
221C23×C11C2×#4111yescharacteristic
222C23×C11C2×#4112yes—
223C23×C11C2×#4112yes—
224C23×C11C2×#4111yescharacteristic
225C23×C11C2×#4112yes—
226C23×C11C2×#4111yescharacteristic
227C23×C11C2×#4111yescharacteristic
228C22×D11—24no—
229C22×D11—24no—
230C22×D11—24no—
231C22×D11—24no—
232C22×D11—24no—
233C22×D11—24no—
234C22×D11—24no—
235C22×D11—24no—
236C22×D11—24no—
237C22×D11—24no—
238C22×D11—24no—
239C22×D11—24no—
240C22×D11—24no—
241C22×D11—24no—
242C22×D11—24no—
243C22×D11—24no—
244C22×D11—24no—
245C22×D11—24no—
246C22×D11—42no—
247C22×D11—42no—
248C22×D11—42no—
249C22×D11—42no—
250C22×D11—42no—
251C22×D11—42no—
252C22×D11—42no—
253C22×D11—42no—
254C22×D11—42no—
255C22×D11—42no—
256C22×D11—42no—
257C22×D11—42no—
258C22×D11—42no—
259C22×D11—42no—
260C22×D11—42no—
261C22×D11—42no—
262C22×D11C4×D418yes—
263C2×C4×C11—24no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—24no—
267C2×C4×C11—24no—
268C2×C4×C11—24no—
269C2×C4×C11—24no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—24no—
273C2×C4×C11—24no—
274C2×C4×C11—24no—
275C2×C4×C11—22no—
276C2×C4×C11—42no—
277C2×C4×C11—42no—
278C2×C4×C11—42no—
279C2×C4×C11—42no—
280C2×C4×C11—42no—
281C2×C4×C11—42no—
282C2×C4×C11—42no—
283C2×C4×C11—42no—
284C2×C4×C11—42no—
285C2×C4×C11—42no—
286C2×C4×C11C4×D414yes—
287C2×C4×C11#12014yes—
288C2×C4×C11#12118yes—
289C2×C4×C11#12114yes—
290C2×C4×C11#12318yes—
291C2×C4×C11#12414yes—
292C2×Dic11—22no—
293C2×Dic11—22no—
294C2×Dic11—22no—
295C2×Dic11—22no—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—24no—
300C2×Dic11—24no—
301C2×Dic11—22no—
302C2×Dic11—24no—
303C2×Dic11—24no—
304C2×Dic11—22no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—42no—
310C2×Dic11—42no—
311C2×Dic11—42no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—42no—
320C2×Dic11C4×D414yescomplemented
321D44—232no—
322C4×D11—432no—
323C23×D4—111no—
324C24×C4—112no—
325C2×C4×D4—228no—
326C2×C4×D4—224no—
327C22×C4⋊C4—111no—
328C22×C4⋊C4—111no—
329C22×C4⋊C4—111no—
330C22×C22⋊C4—112no—
331C22×C22⋊C4—112no—
332C22×C22⋊C4—112no—
333C22×C22⋊C4—112no—
334C22×C22⋊C4—112no—
335C22×C42—111no—
336C22×C42—111no—
337C22×C42C2×D1112yes—
338C22×C42C2×D1111yescharacteristic
339#394—118no—
340C4×C4⋊C4—224no—
341C4×C22⋊C4—228no—
342C4×C22⋊C4—228no—
343C2×#95—111no—
344C2×#95—112no—
345C2×#95—112no—
346C2×#95—111no—
347C2×#95—112no—
348C2×#95—112no—
349C2×#95C2×D1111yescharacteristic
350C2×#95C2×D1112yes—
351C2×#95C2×D1111yescharacteristic
352C22×C11C2×C4×D411yescharacteristic
353C22×C11C2×C4×D412yes—
354C22×C11C2×C4×D411yescharacteristic
355C22×C11C4×#4112yes—
356C22×C11C4×#4111yescharacteristic
357C22×C11C2×#12011yescharacteristic
358C22×C11C2×#12112yes—
359C22×C11C2×#12111yescharacteristic
360C22×C11C2×#12312yes—
361C22×C11#52511yescharacteristic
362C22×C11#52511yescharacteristic
363C22×C11#52512yes—
364C22×C11#52512yes—
365C22×C11#52512yes—
366C22×C11C2×#12411yescharacteristic
367C22×C11#52912yes—
368C22×C11#52912yes—
369C22×C11#52912yes—
370C22×C11#52912yes—
371C22×C11#52911yescharacteristic
372C22×C11#53211yescharacteristic
373C22×C11#53212yes—
374C22×C11#53211yescharacteristic
375C2×D11—28no—
376C2×D11—28no—
377C2×D11—28no—
378C2×D11—44no—
379C2×D11—44no—
380C2×D11—44no—
381C2×D11—44no—
382C2×D11—44no—
383C2×D11—44no—
384C2×D11—44no—
385C2×D11—44no—
386C2×D11—44no—
387C2×D11—44no—
388C2×D11—44no—
389C2×D11—44no—
390C4×C11—24no—
391C4×C11—42no—
392C4×C11—44no—
393C4×C11—44no—
394C4×C11#39418yescomplemented
395Dic11—24no—
396Dic11—44no—
397Dic11—42no—
398Dic11—42no—
399Dic11—42no—
400C25—112no—
401C22×D4—114no—
402C22×D4—224no—
403C22×D4—224no—
404C22×D4—222no—
405C22×D4—222no—
406C23×C4—111no—
407C23×C4—111no—
408C23×C4—111no—
409C23×C4—111no—
410C23×C4—112no—
411C23×C4—118no—
412C23×C4—224no—
413C23×C4—224no—
414C23×C4—224no—
415C23×C4—224no—
416C23×C4—224no—
417C23×C4—224no—
418C23×C4C22×D1112yes—
419C23×C4C22×D1111yescharacteristic
420C23×C4C22×D1112yes—
421C23×C4C22×D1111yescharacteristic
422C23×C4C22×D1111yescharacteristic
423C4×D4—2232no—
424C2×C4⋊C4—114no—
425C2×C4⋊C4—224no—
426C2×C4⋊C4—222no—
427C2×C4⋊C4—222no—
428C2×C4⋊C4—222no—
429C2×C4⋊C4—222no—
430C2×C4⋊C4—222no—
431C2×C4⋊C4—222no—
432C2×C22⋊C4—118no—
433C2×C22⋊C4—118no—
434C2×C22⋊C4—224no—
435C2×C22⋊C4—224no—
436C2×C22⋊C4—224no—
437C2×C22⋊C4—224no—
438C2×C22⋊C4—224no—
439C2×C22⋊C4—224no—
440C2×C22⋊C4—224no—
441C2×C22⋊C4—224no—
442C2×C22⋊C4—224no—
443C2×C22⋊C4—224no—
444C2×C22⋊C4—224no—
445C2×C22⋊C4—224no—
446C2×C22⋊C4—224no—
447C2×C42—24no—
448C2×C42—24no—
449C2×C42—24no—
450C2×C42—24no—
451C2×C42—114no—
452C2×C42—222no—
453C2×C42—222no—
454C2×C42—222no—
455C2×C42—224no—
456C2×C42D4414yes—
457#95—24no—
458#95—22no—
459#95—224no—
460#95—224no—
461#95—224no—
462#95—224no—
463#95—222no—
464#95—222no—
465#95C4×D1114yescomplemented
466C2×C11C4×#12011yescharacteristic
467C2×C11C4×#12112yes—
468C2×C11C4×#12111yescharacteristic
469C2×C11C4×#12312yes—
470C2×C11C4×#12411yescharacteristic
471C2×C11C2×#39411yescharacteristic
472C2×C11#238811yescharacteristic
473C2×C11#239211yescharacteristic
474C2×C11#239212yes—
475C2×C11#239512yes—
476C2×C11#239811yescharacteristic
477D11—48no—
478C24—114no—
479C24—114no—
480C24—114no—
481C24—222no—
482C24—222no—
483C24—222no—
484C24—222no—
485C24—222no—
486C24—222no—
487C24—222no—
488C24—222no—
489C24—222no—
490C24—222no—
491C24—222no—
492C24—222no—
493C24C23×D1111yescharacteristic
494C2×D4—2216no—
495C2×D4—228no—
496C2×D4—228no—
497C2×D4—2216no—
498C2×D4—228no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—112no—
518C22×C4—112no—
519C22×C4—112no—
520C22×C4—112no—
521C22×C4—112no—
522C22×C4—114no—
523C22×C4—112no—
524C22×C4—221no—
525C22×C4—221no—
526C22×C4—221no—
527C22×C4—221no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4—221no—
531C22×C4—222no—
532C22×C4—222no—
533C22×C4—222no—
534C22×C4—221no—
535C22×C4—222no—
536C22×C4—222no—
537C22×C4—222no—
538C22×C4—222no—
539C22×C4—222no—
540C22×C4—222no—
541C22×C4—221no—
542C22×C4—222no—
543C22×C4—222no—
544C22×C4—222no—
545C22×C4—221no—
546C22×C4—2216no—
547C22×C4—2216no—
548C22×C4—2216no—
549C22×C4—448no—
550C22×C4—448no—
551C22×C4—448no—
552C22×C4—448no—
553C22×C4C2×C4×D1114yes—
554C22×C4C2×C4×D1112yes—
555C22×C4C2×D4412yes—
556C22×C4C2×D4412yes—
557C22×C4C2×D4412yes—
558C22×C4#433914yes—
559C22×C4#433912yes—
560C22×C4#433914yes—
561C22×C4D4×D1114yes—
562C22×C4D4×D1112yes—
563C22×C4#434312yes—
564C4⋊C4—228no—
565C4⋊C4—228no—
566C4⋊C4—228no—
567C22⋊C4—2216no—
568C22⋊C4—2216no—
569C22⋊C4—2216no—
570C22⋊C4—2216no—
571C22⋊C4—2216no—
572C42—28no—
573C42—48no—
574C42—228no—
575C42—444no—
576C11C4×#39411yescharacteristic, complemented, Sylow
577C23—118no—
578C23—224no—
579C23—224no—
580C23—224no—
581C23—224no—
582C23—224no—
583C23—224no—
584C23—224no—
585C23—224no—
586C23—224no—
587C23—224no—
588C23—224no—
589C23—224no—
590C23—224no—
591C23—224no—
592C23—224no—
593C23—224no—
594C23—224no—
595C23—224no—
596C23—442no—
597C23—442no—
598C23—442no—
599C23—442no—
600C23—442no—
601C23—442no—
602C23—442no—
603C23—442no—
604C23—442no—
605C23—442no—
606C23—442no—
607C23—442no—
608C23—442no—
609C23—442no—
610C23—442no—
611C23—442no—
612C23C22×C4×D1111yescharacteristic
613C23C22×D4411yescharacteristic
614C23C2×#433911yescharacteristic
615C23C2×#433912yes—
616C23C2×#433912yes—
617C23C2×D4×D1112yes—
618C23C2×D4×D1111yescharacteristic
619C23C2×#434311yescharacteristic
620C23#41×D1112yes—
621C23#41×D1111yescharacteristic
622C23#41×D1111yescharacteristic
623D4—2232no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—114no—
648C2×C4—222no—
649C2×C4—222no—
650C2×C4—222no—
651C2×C4—222no—
652C2×C4—222no—
653C2×C4—222no—
654C2×C4—222no—
655C2×C4—224no—
656C2×C4—224no—
657C2×C4—224no—
658C2×C4—222no—
659C2×C4—222no—
660C2×C4—224no—
661C2×C4—224no—
662C2×C4—224no—
663C2×C4—442no—
664C2×C4—441no—
665C2×C4—441no—
666C2×C4—441no—
667C2×C4—441no—
668C2×C4—442no—
669C2×C4—442no—
670C2×C4—442no—
671C2×C4—441no—
672C2×C4—441no—
673C2×C4—442no—
674C2×C4—442no—
675C2×C4—442no—
676C2×C4—4432no—
677C2×C4C4×D4414yes—
678C2×C4#6692814yes—
679C2×C4#6693514yes—
680C2×C4#6693718yes—
681C2×C4#6694718yes—
682C2×C4#6694814yes—
683C22—228no—
684C22—228no—
685C22—228no—
686C22—444no—
687C22—444no—
688C22—444no—
689C22—444no—
690C22—444no—
691C22—444no—
692C22—444no—
693C22—444no—
694C22—444no—
695C22—444no—
696C22—444no—
697C22—444no—
698C22C2×C4×D4411yescharacteristic
699C22C4×#433912yes—
700C22C2×#6692811yescharacteristic
701C22#1062300811yescharacteristic
702C22#1062301012yes—
703C22C2×#6693511yescharacteristic
704C22C2×#6693712yes—
705C22C2×#6694712yes—
706C22C2×#6694811yescharacteristic
707C22#1062305511yescharacteristic
708C22#1062305511yescharacteristic
709C22#1062305912yes—
710C22#1062305912yes—
711C22C4×D4×D1112yes—
712C22C4×D4×D1111yescharacteristic
713C22#1062307812yes—
714C22#1062307812yes—
715C22#1062307812yes—
716C22#1062307912yes—
717C22#1062307911yescharacteristic
718C22C4×#434311yescharacteristic
719C22#1062311111yescharacteristic
720C22#1062311112yes—
721C4—24no—
722C4—44no—
723C4—42no—
724C4—44no—
725C4—224no—
726C4—442no—
727C4—444no—
728C4—442no—
729C4—442no—
730C4#1062228518yesdirect product factor
731C2—448no—
732C2C4×#6693511yescharacteristic
733C2C4×#6693712yes—
734C2C4×#6694811yescharacteristic
735C2C4×#6694712yes—
736C2C4×#6692811yescharacteristic
737C2C2×#1062228511yescharacteristic
738C2#1307183211yescharacteristic
739C2#1307185611yescharacteristic
740C2#1307186012yes—
741C2#1307187912yes—
742C2#1307190211yescharacteristic
subgroupG/H
centerC23×C4C22×D11
commutatorC23×C11C23×C4
FrattiniC24C23×D11
FittingC4×C11×#95C2
socle, cosocleC24×C11C24
prime radicalC23×D44C22
hypercenterC4×#95D11
hypocenterC11C4×#394
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23×C4 ◁ C4×#95

Complements

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

NH ≅ G/Ntype
3. C2×C4×Dic11⋊C4C2semidirect
4. C2×C4×(C2×D11)⋊C4C2semidirect
5. C2×C4×(C2×D11)⋊C4C2semidirect
6. #13066873C2semidirect
7. #13066870C2semidirect
8. #13066864C2semidirect
9. #13066860C2semidirect
11. C4×C11×#95C2semidirect
40. #10622285C4direct (N × H)
82. C2×(C2×D11)⋊C4C2×C4semidirect
83. C2×(C2×D11)⋊C4C2×C4semidirect
91. C2×Dic11⋊C4C2×C4semidirect
96. C2×C4×Dic11D4semidirect
100. C11×#95C2×C4semidirect
216. C4×#95D11semidirect
320. C2×Dic11C4×D4semidirect
394. C4×C11#394semidirect
465. #95C4×D11semidirect
576. C11C4×#394semidirect
730. C4#10622285direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×D442
C2×#106222852
C2×C4×Dic11⋊C42
C2×C4×(C2×D11)⋊C42
#130668732
#130668702
#130668642
#130668602
#130668562
C4×C11×#952
C4×#39411