Finite Group Databasebeta

← D11×#1863 #14754698

Subgroups — D11×#1863 #14754698

Order 2816.

1542 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×Q8×D11C211yesmaximal, characteristic
2C2×D11×#107C211yesmaximal, characteristic
3C2×D11×#103C211yesmaximal, characteristic
4C2×D11×#103C211yesmaximal, characteristic
5D11×#389C211yesmaximal, characteristic
6#13068873C211yesmaximal, characteristic, complemented
7#13068872C211yesmaximal, characteristic, complemented
8#13068871C211yesmaximal, characteristic, complemented
9#13068870C211yesmaximal, characteristic, complemented
10#13068869C211yesmaximal, characteristic, complemented
11#13068868C211yesmaximal, characteristic, complemented
12#13068867C211yesmaximal, characteristic, complemented
13D11×#340C211yesmaximal, characteristic
14D11×#336C211yesmaximal, characteristic
15C11×#1863C211yesmaximal, characteristic, complemented
16C22×Q8×D11C2211yescharacteristic
17C2×C4×Q8×C11C2211yescharacteristic
18C2×Q8×Dic11C2211yescharacteristic
19C22×C8×D11C2211yescharacteristic
20C22×C8×D11C2211yescharacteristic
21C4×Q8×D11—24no—
22C4×Q8×D11—24no—
23C2×C4⋊C4×D11—21no—
24C2×C4⋊C4×D11—21no—
25C2×C4⋊C4×D11C2211yescharacteristic
26C2×C4⋊C4×D11C2211yescharacteristic
27C2×C4⋊C4×D11C2211yescharacteristic
28C2×#66940—21no—
29C2×#66940C2211yescharacteristic
30C2×C42×D11—21no—
31C2×C42×D11C2211yescharacteristic
32C2×C4×Dic22—21no—
33C2×C4×Dic22C2211yescharacteristic
34C2×C11×#107C2211yescharacteristic
35C2×C11×#103C2211yescharacteristic
36C2×C11×#103C2211yescharacteristic
37C11×#389C2211yescharacteristic
38C2×#66899C2211yescharacteristic
39C2×#66899C2211yescharacteristic
40C2×#66882C2211yescharacteristic
41C2×#66880C2211yescharacteristic
42C2×#66880C2211yescharacteristic
43#10622598C2211yescharacteristic
44#10622586C2211yescharacteristic
45#10622585—21no—
46C2×#66874C2211yescharacteristic
47C2×#66874C2211yescharacteristic
48C2×#66871C2211yescharacteristic
49C2×#66871C2211yescharacteristic
50#10622541C2211yescharacteristic
51D11×#107—24no—
52D11×#103—24no—
53D11×#103C418yescomplemented
54D11×#95—21no—
55#10622260—21no—
56C11×#340C2211yescharacteristic
57C11×#336C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622188C2211yescharacteristic
60#10622188C2211yescharacteristic
61#10622167C2211yescharacteristic
62#10622167C2211yescharacteristic
63#10622162C2211yescharacteristic
64C22×Q8×C11C2311yescharacteristic
65C2×Q8×D11—22no—
66C2×Q8×D11—22no—
67C2×Q8×D11—22no—
68C2×Q8×D11C2×C414yes—
69C2×Q8×D11D414yes—
70C2×Q8×D11Q814yes—
71C22×C4×D11—21no—
72C22×C4×D11—21no—
73C22×C4×D11—21no—
74C22×C4×D11—21no—
75C22×C4×D11D411yescharacteristic
76C22×C4×D11D411yescharacteristic
77C22×C4×D11C2311yescharacteristic
78C22×Dic22—21no—
79C22×Dic22C2311yescharacteristic
80C22×C8×C11C2311yescharacteristic
81C22×C8×C11C2311yescharacteristic
82C4×Q8×C11—22no—
83C4×Q8×C11—22no—
84C2×C11×C4⋊C4—21no—
85C2×C11×C4⋊C4—21no—
86C2×C11×C4⋊C4C2311yescharacteristic
87C2×C11×C4⋊C4C2311yescharacteristic
88C2×C11×C4⋊C4C2311yescharacteristic
89C2×C42×C11—21no—
90C2×C42×C11C2311yescharacteristic
91Q8×Dic11—22no—
92Q8×Dic11—22no—
93C2×C4⋊Dic11—21no—
94C2×C4⋊Dic11—21no—
95C2×C4⋊Dic11C2311yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97C2×C4⋊Dic11C2311yescharacteristic
98C2×Dic11⋊C4—21no—
99C2×Dic11⋊C4—21no—
100C2×Dic11⋊C4—21no—
101C2×Dic11⋊C4—21no—
102C2×Dic11⋊C4—21no—
103C2×Dic11⋊C4—21no—
104C2×Dic11⋊C4—21no—
105C2×C4×Dic11—21no—
106C2×C4×Dic11—21no—
107C2×C4×Dic11—21no—
108C2×C4×Dic11D411yescharacteristic
109C2×C4×Dic11D411yescharacteristic
110C2×C4×Dic11C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C2×C8×D11—22no—
114C2×C8×D11—22no—
115C2×C8×D11—22no—
116C2×C8×D11—22no—
117C2×C8×D11—22no—
118C2×C8×D11C2×C414yes—
119C4⋊C4×D11—28no—
120C4⋊C4×D11—22no—
121C4⋊C4×D11—22no—
122C4⋊C4×D11—22no—
123C4⋊C4×D11—22no—
124C4⋊C4×D11—44no—
125C4⋊C4×D11C2×C414yes—
126C4⋊C4×D11D414yes—
127#66940—28no—
128#66940—22no—
129#66940—22no—
130C42×D11—28no—
131C42×D11—22no—
132C42×D11—22no—
133C4×Dic22—28no—
134C4×Dic22—22no—
135C4×Dic22—22no—
136C11×#107—22no—
137C11×#103—22no—
138C11×#103C2×C414yescomplemented
139C11×#95—21no—
140#66899—22no—
141#66899C2×C414yescomplemented
142C11⋊#95—21no—
143C11⋊#95—21no—
144C11⋊#95—21no—
145#66882—22no—
146#66880—22no—
147#66880C2×C414yescomplemented
148#66874—22no—
149#66874C2×C414yescomplemented
150#66871—22no—
151#66871—22no—
152C2×#1863—111nomaximal, Sylow
153C23×D11C2×D411yescharacteristic
154C2×Q8×C11—21no—
155C2×Q8×C11—21no—
156C2×Q8×C11—21no—
157C2×Q8×C11C22×C412yes—
158C2×Q8×C11C2×D412yes—
159C2×Q8×C11C2×Q812yes—
160C22×C4×C11—21no—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2411yescharacteristic
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—21no—
170C22×Dic11—21no—
171C22×Dic11C2×D411yescharacteristic
172C22×Dic11C2×D411yescharacteristic
173C22×Dic11C2×D411yescharacteristic
174Q8×D11—28no—
175Q8×D11—28no—
176Q8×D11—28no—
177Q8×D11C4⋊C4116yescomplemented
178C2×C4×D11—24no—
179C2×C4×D11—24no—
180C2×C4×D11—22no—
181C2×C4×D11—24no—
182C2×C4×D11—22no—
183C2×C4×D11—24no—
184C2×C4×D11—24no—
185C2×C4×D11—22no—
186C2×C4×D11—22no—
187C2×C4×D11—22no—
188C2×C4×D11—42no—
189C2×C4×D11—42no—
190C2×C4×D11—42no—
191C2×C4×D11—42no—
192C2×C4×D11—42no—
193C2×C4×D11—42no—
194C2×C4×D11—42no—
195C2×C4×D11Q1614yes—
196C2×C4×D11C22×C412yes—
197C2×C4×D11C2×D412yes—
198C2×C4×D11C2×D412yes—
199C2×C4×D11C2×Q812yes—
200C2×C4×D11#4112yes—
201C2×C4×D11#4112yes—
202C2×Dic22—24no—
203C2×Dic22—24no—
204C2×Dic22—24no—
205C2×Dic22—21no—
206C2×Dic22—21no—
207C2×Dic22—21no—
208C2×Dic22C22×C412yes—
209C2×Dic22C2×D412yes—
210C2×Dic22C2×Q812yes—
211C2×C8×C11—21no—
212C2×C8×C11—21no—
213C2×C8×C11—21no—
214C2×C8×C11—21no—
215C2×C8×C11—21no—
216C2×C8×C11C22×C412yes—
217C11×C4⋊C4—24no—
218C11×C4⋊C4—21no—
219C11×C4⋊C4—21no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—42no—
223C11×C4⋊C4C22×C412yes—
224C11×C4⋊C4C2×D412yes—
225C42×C11—24no—
226C42×C11—21no—
227C42×C11—21no—
228C4⋊Dic11—24no—
229C4⋊Dic11—21no—
230C4⋊Dic11—21no—
231C4⋊Dic11—21no—
232C4⋊Dic11—21no—
233C4⋊Dic11—42no—
234C4⋊Dic11C22×C412yes—
235C4⋊Dic11C2×D412yes—
236Dic11⋊C4—24no—
237Dic11⋊C4—24no—
238Dic11⋊C4—24no—
239Dic11⋊C4—24no—
240Dic11⋊C4—42no—
241Dic11⋊C4—42no—
242Dic11⋊C4—42no—
243C4×Dic11—24no—
244C4×Dic11—24no—
245C4×Dic11—24no—
246C4×Dic11—22no—
247C4×Dic11—22no—
248C4×Dic11—21no—
249C4×Dic11—21no—
250C2×C11⋊C8—21no—
251C2×C11⋊C8—21no—
252C2×C11⋊C8—21no—
253C2×C11⋊C8—21no—
254C2×C11⋊C8—21no—
255C2×C11⋊C8C22×C412yes—
256C8×D11—28no—
257C8×D11—44no—
258C22×C4×Q8—111no—
259C22×#107—111no—
260C22×#103—111no—
261C22×#103—111no—
262C2×#389—111no—
263#1863—111no—
264#1863—111no—
265#1863—111no—
266#1863—111no—
267#1863—111no—
268#1863—111no—
269#1863—111no—
270#1863D1111yescharacteristic, direct product factor
271C2×#340—111no—
272C2×#336—111no—
273C23×C11C22×D411yescharacteristic
274C22×D11C4×D412yes—
275C22×D11#12012yes—
276C22×D11C22⋊Q812yes—
277C22×D11C2×Q1612yes—
278C22×D11#13512yes—
279C22×D11AGL(1,ℤ/8)12yes—
280C22×D11#13712yes—
281Q8×C11—22no—
282Q8×C11—22no—
283Q8×C11—22no—
284Q8×C11C2×C4⋊C414yescomplemented
285C2×C4×C11—22no—
286C2×C4×C11—21no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—21no—
290C2×C4×C11—22no—
291C2×C4×C11—21no—
292C2×C4×C11—22no—
293C2×C4×C11—21no—
294C2×C4×C11—21no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11—41no—
302C2×C4×C11C2×Q1612yes—
303C2×C4×C11C23×C411yescharacteristic
304C2×C4×C11C22×D411yescharacteristic
305C2×C4×C11C22×D411yescharacteristic
306C2×C4×C11C22×Q811yescharacteristic
307C2×C4×C11C2×#4111yescharacteristic
308C2×C4×C11C2×#4111yescharacteristic
309C2×Dic11—22no—
310C2×Dic11—21no—
311C2×Dic11—22no—
312C2×Dic11—22no—
313C2×Dic11—21no—
314C2×Dic11—22no—
315C2×Dic11—21no—
316C2×Dic11—22no—
317C2×Dic11—21no—
318C2×Dic11—21no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—41no—
323C2×Dic11—41no—
324C2×Dic11—41no—
325C2×Dic11—41no—
326C2×Dic11C4×D412yes—
327C2×Dic11#12012yes—
328C2×Dic11C22⋊Q812yes—
329C2×Dic11C2×Q1612yes—
330C4×D11—216no—
331C4×D11—28no—
332C4×D11—48no—
333C4×D11—44no—
334C4×D11—48no—
335C4×D11—84no—
336C4×D11C2×C4⋊C414yes—
337C4×D11C4×D414yes—
338C4×D11C22⋊Q814yes—
339C4×D11#12314yes—
340Dic22—22no—
341Dic22—22no—
342Dic22—22no—
343Dic22—216no—
344Dic22C2×C4⋊C414yescomplemented
345C8×C11—22no—
346C8×C11—41no—
347C11⋊C8—22no—
348C11⋊C8—41no—
349C23×Q8—111no—
350C23×C8—111no—
351C23×C8—111no—
352C2×C4×Q8—111no—
353C2×C4×Q8—111no—
354C2×C4×Q8—111no—
355C2×C4×Q8—221no—
356C2×C4×Q8—221no—
357C2×C4×Q8—224no—
358C2×C4×Q8—224no—
359C2×C4×Q8C2×D1111yescharacteristic
360C22×C4⋊C4—111no—
361C22×C4⋊C4—111no—
362C22×C4⋊C4—111no—
363C22×C4⋊C4—221no—
364C22×C4⋊C4—221no—
365C22×C42—111no—
366C22×C42—221no—
367C2×#107—111no—
368C2×#107—111no—
369C2×#107—111no—
370C2×#107—224no—
371C2×#107C2×D1111yescharacteristic
372C2×#103—111no—
373C2×#103—111no—
374C2×#103—111no—
375C2×#103—118no—
376C2×#103—111no—
377C2×#103—111no—
378C2×#103—111no—
379C2×#103—224no—
380C2×#103C2×D1111yescharacteristic
381C2×#103C2×D1111yescharacteristic
382#389—111no—
383#389—111no—
384#389—111no—
385#389—221no—
386#389—221no—
387#389C2×D1111yescharacteristic
388C2×#95—221no—
389#340—111no—
390#340—111no—
391#340—111no—
392#340C2×D1111yescharacteristic
393#336—111no—
394#336—111no—
395#336—111no—
396#336C2×D1111yescharacteristic
397C22×C11C2×C4×D411yescharacteristic
398C22×C11C2×#12011yescharacteristic
399C22×C11C2×C22⋊Q811yescharacteristic
400C22×C11C22×Q1611yescharacteristic
401C22×C11C2×#13511yescharacteristic
402C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
403C22×C11C2×#13711yescharacteristic
404C2×D11#38514yes—
405C2×D11C4×Q1614yes—
406C2×D11#44014yes—
407C2×D11#44914yes—
408C2×D11#45114yes—
409C2×D11#47714yes—
410C2×D11#47914yes—
411C4×C11—22no—
412C4×C11—24no—
413C4×C11—42no—
414C4×C11—41no—
415C4×C11—42no—
416C4×C11—81no—
417C4×C11C22×C4⋊C411yescharacteristic
418C4×C11C2×C4×D411yescharacteristic
419C4×C11C2×C22⋊Q811yescharacteristic
420C4×C11C2×#12311yescharacteristic
421Dic11—22no—
422Dic11—24no—
423Dic11—42no—
424Dic11—41no—
425Dic11—42no—
426Dic11—81no—
427Dic11#38514yes—
428C22×Q8—114no—
429C22×Q8—114no—
430C22×Q8—114no—
431C22×Q8—111no—
432C22×Q8—221no—
433C22×Q8—222no—
434C22×Q8—222no—
435C22×Q8—222no—
436C22×Q8C22×D1111yescharacteristic
437C23×C4—111no—
438C23×C4—111no—
439C23×C4—111no—
440C23×C4—221no—
441C23×C4—221no—
442C23×C4—221no—
443C23×C4—221no—
444C22×C8—111no—
445C22×C8—114no—
446C22×C8—111no—
447C22×C8—222no—
448C22×C8—222no—
449C22×C8—222no—
450C22×C8—222no—
451C22×C8—222no—
452C22×C8C22×D1111yescharacteristic
453C22×C8C22×D1111yescharacteristic
454C4×Q8—22no—
455C4×Q8—22no—
456C4×Q8—222no—
457C4×Q8—222no—
458C4×Q8—228no—
459C4×Q8—222no—
460C4×Q8—228no—
461C4×Q8—222no—
462C4×Q8—222no—
463C4×Q8—222no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—111no—
467C2×C4⋊C4—111no—
468C2×C4⋊C4—114no—
469C2×C4⋊C4—114no—
470C2×C4⋊C4—111no—
471C2×C4⋊C4—222no—
472C2×C4⋊C4—222no—
473C2×C4⋊C4—228no—
474C2×C4⋊C4—222no—
475C2×C4⋊C4—222no—
476C2×C4⋊C4—221no—
477C2×C4⋊C4—221no—
478C2×C4⋊C4—221no—
479C2×C4⋊C4—221no—
480C2×C4⋊C4—221no—
481C2×C4⋊C4—221no—
482C2×C4⋊C4—221no—
483C2×C4⋊C4—221no—
484C2×C4⋊C4—221no—
485C2×C4⋊C4—444no—
486C2×C4⋊C4C22×D1111yescharacteristic
487C2×C4⋊C4C22×D1111yescharacteristic
488C2×C4⋊C4C22×D1111yescharacteristic
489C2×C42—21no—
490C2×C42—111no—
491C2×C42—111no—
492C2×C42—111no—
493C2×C42—222no—
494C2×C42—222no—
495C2×C42—228no—
496C2×C42—221no—
497C2×C42—221no—
498C2×C42—221no—
499C2×C42C22×D1111yescharacteristic
500#107—22no—
501#107—222no—
502#107—222no—
503#107—222no—
504#103—22no—
505#103—114no—
506#103—114no—
507#103—114no—
508#103—222no—
509#103—222no—
510#103—222no—
511#103C4×D1114yescomplemented
512#95—21no—
513#95—221no—
514#95—221no—
515#95—221no—
516C2×C11C2×#38511yescharacteristic
517C2×C11C2×C4×Q1611yescharacteristic
518C2×C11C2×#44011yescharacteristic
519C2×C11C2×#45111yescharacteristic
520C2×C11C2×#44911yescharacteristic
521C2×C11C2×#47711yescharacteristic
522C2×C11C2×#47911yescharacteristic
523D11#186318yesdirect product factor
524C24—111no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8—21no—
528C2×Q8—1116no—
529C2×Q8—112no—
530C2×Q8—112no—
531C2×Q8—112no—
532C2×Q8—224no—
533C2×Q8—224no—
534C2×Q8—224no—
535C2×Q8—228no—
536C2×Q8—228no—
537C2×Q8—228no—
538C2×Q8—221no—
539C2×Q8—221no—
540C2×Q8—221no—
541C2×Q8C2×C4×D1112yes—
542C2×Q8D4×D1112yes—
543C2×Q8Q8×D1112yes—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—111no—
549C22×C4—112no—
550C22×C4—112no—
551C22×C4—112no—
552C22×C4—112no—
553C22×C4—112no—
554C22×C4—112no—
555C22×C4—111no—
556C22×C4—114no—
557C22×C4—111no—
558C22×C4—222no—
559C22×C4—224no—
560C22×C4—222no—
561C22×C4—224no—
562C22×C4—224no—
563C22×C4—224no—
564C22×C4—222no—
565C22×C4—224no—
566C22×C4—222no—
567C22×C4—222no—
568C22×C4—221no—
569C22×C4—221no—
570C22×C4—221no—
571C22×C4—221no—
572C22×C4—442no—
573C22×C4—442no—
574C22×C4—442no—
575C22×C4—442no—
576C22×C4—442no—
577C22×C4—442no—
578C22×C4—442no—
579C22×C4D4×D1111yescharacteristic
580C22×C4D4×D1111yescharacteristic
581C22×C4C23×D1111yescharacteristic
582C2×C8—21no—
583C2×C8—21no—
584C2×C8—21no—
585C2×C8—21no—
586C2×C8—21no—
587C2×C8—112no—
588C2×C8—228no—
589C2×C8—221no—
590C2×C8—221no—
591C2×C8—221no—
592C2×C8—221no—
593C2×C8—221no—
594C2×C8—444no—
595C2×C8C2×C4×D1112yes—
596C4⋊C4—24no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—42no—
602C4⋊C4—112no—
603C4⋊C4—112no—
604C4⋊C4—224no—
605C4⋊C4—224no—
606C4⋊C4—224no—
607C4⋊C4—224no—
608C4⋊C4—224no—
609C4⋊C4—221no—
610C4⋊C4—221no—
611C4⋊C4—221no—
612C4⋊C4—221no—
613C4⋊C4—442no—
614C4⋊C4—442no—
615C4⋊C4—442no—
616C4⋊C4—442no—
617C4⋊C4C2×C4×D1112yes—
618C4⋊C4D4×D1112yes—
619C42—24no—
620C42—21no—
621C42—21no—
622C42—222no—
623C42—222no—
624C42—224no—
625C42—224no—
626C42—224no—
627C42—221no—
628C42—221no—
629C11C2×#186311yescharacteristic, complemented, Sylow
630C23—112no—
631C23—112no—
632C23—112no—
633C23—112no—
634C23—112no—
635C23—112no—
636C23—112no—
637C23C2×D4×D1111yescharacteristic
638Q8—22no—
639Q8—22no—
640Q8—22no—
641Q8—114no—
642Q8—2216no—
643Q8—222no—
644Q8—222no—
645Q8—222no—
646Q8C4⋊C4×D1114yescomplemented
647C2×C4—21no—
648C2×C4—22no—
649C2×C4—21no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—112no—
665C2×C4—112no—
666C2×C4—112no—
667C2×C4—114no—
668C2×C4—114no—
669C2×C4—114no—
670C2×C4—114no—
671C2×C4—112no—
672C2×C4—228no—
673C2×C4—2216no—
674C2×C4—221no—
675C2×C4—222no—
676C2×C4—221no—
677C2×C4—222no—
678C2×C4—222no—
679C2×C4—221no—
680C2×C4—221no—
681C2×C4—222no—
682C2×C4—222no—
683C2×C4—221no—
684C2×C4—444no—
685C2×C4—448no—
686C2×C4—448no—
687C2×C4—441no—
688C2×C4—441no—
689C2×C4—441no—
690C2×C4—441no—
691C2×C4—441no—
692C2×C4—441no—
693C2×C4—441no—
694C2×C4—884no—
695C2×C4Q16×D1112yes—
696C2×C4C22×C4×D1111yescharacteristic
697C2×C4C2×D4×D1111yescharacteristic
698C2×C4C2×D4×D1111yescharacteristic
699C2×C4C2×Q8×D1111yescharacteristic
700C2×C4#41×D1111yescharacteristic
701C2×C4#41×D1111yescharacteristic
702C8—22no—
703C8—41no—
704C8—222no—
705C8—441no—
706C22—114no—
707C22—114no—
708C22—114no—
709C22—114no—
710C22—114no—
711C22—114no—
712C22—114no—
713C22C4×D4×D1111yescharacteristic
714C22D11×#12011yescharacteristic
715C22D11×C22⋊Q811yescharacteristic
716C22C2×Q16×D1111yescharacteristic
717C22D11×#13511yescharacteristic
718C22D11×AGL(1,ℤ/8)11yescharacteristic
719C22D11×#13711yescharacteristic
720C4—22no—
721C4—24no—
722C4—41no—
723C4—42no—
724C4—42no—
725C4—81no—
726C4—114no—
727C4—222no—
728C4—224no—
729C4—441no—
730C4—442no—
731C4—442no—
732C4—881no—
733C4C2×C4⋊C4×D1111yescharacteristic
734C4C4×D4×D1111yescharacteristic
735C4D11×C22⋊Q811yescharacteristic
736C4D11×#12311yescharacteristic
737C2—118no—
738C2D11×#38511yescharacteristic
739C2C4×Q16×D1111yescharacteristic
740C2D11×#44011yescharacteristic
741C2D11×#45111yescharacteristic
742C2D11×#44911yescharacteristic
743C2D11×#47711yescharacteristic
744C2D11×#47911yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1863C2
socleC23×C11C22×D4
prime radicalC23×D11C2×D4
cosocleC22×C4×C11C24
hypercenter#1863D11
hypocenterC11C2×#1863
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1863

Complements

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

NH ≅ G/Ntype
6. #13068873C2semidirect
7. #13068872C2semidirect
8. #13068871C2semidirect
9. #13068870C2semidirect
10. #13068869C2semidirect
11. #13068868C2semidirect
12. #13068867C2semidirect
15. C11×#1863C2semidirect
53. D11×#103C4semidirect
138. C11×#103C2×C4semidirect
141. #66899C2×C4semidirect
147. #66880C2×C4semidirect
149. #66874C2×C4semidirect
177. Q8×D11C4⋊C4semidirect
270. #1863D11direct (N × H)
284. Q8×C11C2×C4⋊C4semidirect
344. Dic22C2×C4⋊C4semidirect
511. #103C4×D11semidirect
523. D11#1863direct (N × H)
629. C11C2×#1863semidirect
646. Q8C4⋊C4×D11semidirect

Maximal subgroups

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

subgroupindex
C2×C4×Q8×D112
C2×D11×#1072
C2×D11×#1032
D11×#3892
#130688732
#130688722
#130688712
#130688702
#130688692
#130688682
#130688672
D11×#3402
D11×#3362
C11×#18632
C2×#186311