Finite Group Databasebeta

← #14770908

Subgroups — #14770908

Order 2816.

1218 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#102C211yesmaximal, characteristic
2#13071481C211yesmaximal, characteristic, complemented
3D4×(C2×D11)⋊C4C211yesmaximal, characteristic
4#13069299C211yesmaximal, characteristic, complemented
5#13069297C211yesmaximal, characteristic, complemented
6#13069236C211yesmaximal, characteristic, complemented
7#13069234C211yesmaximal, characteristic, complemented
8#13068863C211yesmaximal, characteristic, complemented
9#13068861C211yesmaximal, characteristic, complemented
10#13068701C211yesmaximal, characteristic, complemented
11#13068644C211yesmaximal, characteristic, complemented
12#13068545C211yesmaximal, characteristic
13#102×Dic11C211yesmaximal, characteristic, complemented
14C8×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
15C4×C11×#102C211yesmaximal, characteristic, complemented
16C22×D4×D11C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×D4×Dic11C2211yescharacteristic
19C22×(C2×D11)⋊C4—21no—
20C22×C8×D11C2211yescharacteristic
21C2×C4⋊C4×D11C2211yescharacteristic
22C2×#66925—21no—
23C2×C11×#102C2211yescharacteristic
24C2×C11×#102C2211yescharacteristic
25C2×C4×C8×C11C2211yescharacteristic, complemented
26C4×C11×C4⋊C4C2211yescharacteristic, complemented
27C2×#66896C2211yescharacteristic
28C2×#66896C2211yescharacteristic
29#10622826—21no—
30C2×#66885C2211yescharacteristic
31C2×#66885C2211yescharacteristic
32C2×(C2×D11)⋊C8C2211yescharacteristic
33C2×C8×Dic11C2211yescharacteristic, complemented
34#10622601C2211yescharacteristic
35#10622600C2211yescharacteristic
36#10622600C2211yescharacteristic
37C4⋊C4×Dic11C2211yescharacteristic, complemented
38#10622586C2211yescharacteristic, complemented
39C2×#66873C2211yescharacteristic
40C2×#66873C2211yescharacteristic
41C2×#66871C2211yescharacteristic, complemented
42C2×#66871C2211yescharacteristic, complemented
43#10622571—21no—
44#10622568—21no—
45#10622552C2211yescharacteristic
46C4×(C2×D11)⋊C4C2211yescharacteristic
47#10622546—21no—
48#10622541C2211yescharacteristic, complemented
49D11×#102C418yescomplemented
50#10622277—21no—
51#10622265—21no—
52C11×#340C2211yescharacteristic, complemented
53C11×#340C2211yescharacteristic, complemented
54#10622189C2211yescharacteristic, complemented
55#10622189C2211yescharacteristic, complemented
56#10622188C2211yescharacteristic, complemented
57#10622167C2211yescharacteristic, complemented
58#10622167C2211yescharacteristic, complemented
59#10622162C2211yescharacteristic, complemented
60C24×D11—21no—
61C22×D4×C11C2311yescharacteristic
62C23×C4×C11—21no—
63C22×C22⋊D11—21no—
64C23×Dic11—21no—
65C2×D4×D11—22no—
66C2×D4×D11—22no—
67C2×D4×D11—22no—
68C2×D4×D11—41no—
69C2×D4×D11—41no—
70C2×D4×D11C2×C414yes—
71C22×D44C2311yescharacteristic
72C22×C4×D11—21no—
73C22×C4×D11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C4×D4×C11—22no—
77C4×D4×C11—41no—
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C22⋊C4—21no—
82C2×C42×C11—21no—
83C2×C42×C11C2311yescharacteristic
84C2×C22⋊Dic11—21no—
85D4×Dic11—22no—
86D4×Dic11—41no—
87C2×(C2×D11)⋊C4—21no—
88C2×(C2×D11)⋊C4—21no—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×(C2×D11)⋊C4—44no—
94C2×(C2×D11)⋊C4D411yescharacteristic
95C2×(C2×D11)⋊C4D411yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×Dic11⋊C4—21no—
100C2×Dic11⋊C4—21no—
101C2×Dic11⋊C4—21no—
102C2×C4×Dic11—21no—
103C2×C4×Dic11C2311yescharacteristic
104C22×C11⋊C8C2311yescharacteristic
105C22×C11⋊C8C2311yescharacteristic
106C2×C8×D11—41no—
107C2×C8×D11—41no—
108C2×C8×D11C2×C414yescomplemented
109C4⋊C4×D11—22no—
110C4⋊C4×D11C2×C414yescomplemented
111#66925—44no—
112C11×#102—22no—
113C11×#102C2×C414yes—
114C4×C8×C11—41no—
115C11×#95—21no—
116#66896—22no—
117#66896C2×C414yes—
118C11⋊#95—21no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95D411yescharacteristic
124C11⋊#95D411yescharacteristic
125#66885—41no—
126#66885C2×C414yescomplemented
127(C2×D11)⋊C8—22no—
128C8×Dic11—41no—
129#66873—41no—
130#66873C2×C414yescomplemented
131#66871—41no—
132#66871—41no—
133#22570—111nomaximal, Sylow
134C24×C11—21no—
135C23×D11—21no—
136C23×D11—24no—
137C23×D11—42no—
138C23×D11—42no—
139C23×D11—42no—
140C23×D11—42no—
141C23×D11—81no—
142C23×D11—81no—
143C23×D11C2×D411yescharacteristic
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11C22×C412yes—
148C2×D4×C11#4112yes—
149C2×D4×C11#4112yes—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—42no—
154C22×C4×C11—42no—
155C22×C4×C11—81no—
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2411yescharacteristic
159C2×C22⋊D11—24no—
160C2×C22⋊D11—42no—
161C2×C22⋊D11—42no—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—42no—
166C22×Dic11—42no—
167C22×Dic11—81no—
168C22×Dic11C2×D411yescharacteristic
169C22×Dic11C2×D411yescharacteristic
170C22×Dic11C2×D411yescharacteristic
171D4×D11—28no—
172D4×D11—44no—
173D4×D11—44no—
174D4×D11—44no—
175C2×D44—21no—
176C2×D44—21no—
177C2×D44—21no—
178C2×D44—21no—
179C2×D44—21no—
180C2×D44C22×C412yes—
181C2×C4×D11—24no—
182C2×C4×D11—21no—
183C2×C4×D11—21no—
184C2×C4×D11—21no—
185C2×C4×D11—21no—
186C2×C4×D11—42no—
187C2×C4×D11—42no—
188C2×C4×D11C22×C412yes—
189C2×C4×D11#4112yes—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11C22×C412yes—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—21no—
201C11×C4⋊C4C22×C412yes—
202C11×C22⋊C4—42no—
203C42×C11—21no—
204C42×C11—21no—
205C42×C11—42no—
206C22⋊Dic11—42no—
207(C2×D11)⋊C4—22no—
208(C2×D11)⋊C4—42no—
209(C2×D11)⋊C4—42no—
210(C2×D11)⋊C4—42no—
211(C2×D11)⋊C4—42no—
212(C2×D11)⋊C4—81no—
213(C2×D11)⋊C4—81no—
214(C2×D11)⋊C4D814yes—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11C22×C412yes—
221Dic11⋊C4—24no—
222Dic11⋊C4—42no—
223Dic11⋊C4—42no—
224C4×Dic11—21no—
225C4×Dic11—21no—
226C4×Dic11—42no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8C22×C412yes—
233C8×D11—44no—
234C22×#102—111no—
235#2344—111no—
236D4×C22⋊C4—111no—
237#1934—111no—
238#1934—111no—
239#1925—111no—
240#1925—111no—
241#1862—111no—
242#1862—111no—
243#1823—111no—
244#1808—111no—
245#1786—111no—
246C4×#102—111no—
247C4×#102D1111yescharacteristic, complemented
248C8×C22⋊C4—111no—
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—22no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11C22×D411yescharacteristic
257C22×D11—21no—
258C22×D11—21no—
259C22×D11—21no—
260C22×D11—21no—
261C22×D11—22no—
262C22×D11—48no—
263C22×D11—41no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—48no—
270C22×D11—84no—
271C22×D11—84no—
272C22×D11—84no—
273C22×D11—84no—
274C22×D11—84no—
275C22×D11C4×D412yes—
276C22×D11C2×D812yes—
277C22×D11#13512yes—
278D4×C11—22no—
279D4×C11—22no—
280D4×C11—22no—
281D4×C11#11714yescomplemented
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—22no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—84no—
297C2×C4×C11C2×D812yes—
298C2×C4×C11C23×C411yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C2×C4×C11H(5,𝔽2)11yescharacteristic
303C2×C4×C11H(5,𝔽2)11yescharacteristic
304C22⋊D11—48no—
305C2×Dic11—21no—
306C2×Dic11—21no—
307C2×Dic11—21no—
308C2×Dic11—21no—
309C2×Dic11—22no—
310C2×Dic11—21no—
311C2×Dic11—21no—
312C2×Dic11—21no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—84no—
322C2×Dic11C4×D412yes—
323C2×Dic11C2×D812yes—
324D44—22no—
325D44—22no—
326D44—41no—
327D44—41no—
328C4×D11—22no—
329C4×D11—22no—
330C4×D11—22no—
331C4×D11—22no—
332C4×D11—48no—
333C8×C11—22no—
334C8×C11—41no—
335C11⋊C8—22no—
336C11⋊C8—41no—
337C23×D4—111no—
338C23×C8—111no—
339C2×C4×D4—111no—
340C2×C4×D4C2×D1111yescharacteristic
341C2×#117—221no—
342C22×C4⋊C4—111no—
343C22×C22⋊C4—221no—
344C2×#107—111no—
345C2×#107—111no—
346C2×#102—111no—
347C2×#102—111no—
348C2×#102—111no—
349C2×#102—118no—
350C2×#102—111no—
351C2×#102—111no—
352C2×#102—111no—
353C2×#102C2×D1111yescharacteristic
354C2×#102C2×D1111yescharacteristic
355C2×C22⋊C8—111no—
356C2×C4×C8—111no—
357C2×C4×C8C2×D1111yescharacteristic, complemented
358#390—111no—
359#390—111no—
360#389—111no—
361#389—111no—
362#387—221no—
363#387—221no—
364#386—221no—
365#386—221no—
366#381—221no—
367#380—111no—
368#380—111no—
369#379—221no—
370C4×C4⋊C4—111no—
371C4×C4⋊C4C2×D1111yescharacteristic, complemented
372C4×C22⋊C4—111no—
373#340—111no—
374#340—111no—
375#340—111no—
376#340—111no—
377#340C2×D1111yescharacteristic, complemented
378#340C2×D1111yescharacteristic, complemented
379#336—111no—
380#336—111no—
381C22×C11—24no—
382C22×C11—42no—
383C22×C11—42no—
384C22×C11—42no—
385C22×C11—42no—
386C22×C11—42no—
387C22×C11—42no—
388C22×C11C2×C4×D411yescharacteristic
389C22×C11#54611yescharacteristic
390C22×C11#54611yescharacteristic
391C22×C11C22×D811yescharacteristic
392C22×C11C2×#13511yescharacteristic
393C22×C11#57711yescharacteristic
394C22×C11#57711yescharacteristic
395C2×D11—22no—
396C2×D11—22no—
397C2×D11—22no—
398C2×D11—22no—
399C2×D11—22no—
400C2×D11—22no—
401C2×D11—42no—
402C2×D11—42no—
403C2×D11—42no—
404C2×D11—816no—
405C2×D11—81no—
406C2×D11—81no—
407C2×D11—81no—
408C2×D11—81no—
409C2×D11C4×D814yes—
410C4×C11—22no—
411C4×C11—42no—
412C4×C11—41no—
413C4×C11—81no—
414C4×C11—81no—
415C4×C11C2×#11711yescharacteristic
416C4×C11#51811yescharacteristic
417C4×C11#55111yescharacteristic
418C4×C11#55111yescharacteristic
419Dic11—22no—
420Dic11—22no—
421Dic11—42no—
422Dic11—41no—
423Dic11—81no—
424Dic11—81no—
425C25—221no—
426C22×D4—114no—
427C22×D4—111no—
428C22×D4—222no—
429C22×D4—221no—
430C22×D4—222no—
431C22×D4—222no—
432C22×D4—441no—
433C22×D4—441no—
434C22×D4C22×D1111yescharacteristic
435C23×C4—21no—
436C23×C4—111no—
437C23×C4—221no—
438C23×C4—221no—
439C22×C8—111no—
440C22×C8—114no—
441C22×C8—111no—
442C22×C8—441no—
443C22×C8—441no—
444C22×C8C22×D1111yescharacteristic
445C22×C8C22×D1111yescharacteristic
446C4×D4—22no—
447C4×D4—41no—
448C4×D4—222no—
449C4×D4—441no—
450#117—444no—
451C2×C4⋊C4—111no—
452C2×C4⋊C4—114no—
453C2×C4⋊C4—111no—
454C2×C4⋊C4—111no—
455C2×C4⋊C4—222no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4—221no—
458C2×C4⋊C4—221no—
459C2×C4⋊C4C22×D1111yescharacteristic
460C2×C4⋊C4C22×D1111yescharacteristic
461C2×C4⋊C4C22×D1111yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—111no—
464C2×C22⋊C4—111no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—221no—
468C2×C22⋊C4—221no—
469C2×C22⋊C4—221no—
470C2×C22⋊C4—221no—
471C2×C22⋊C4—221no—
472C2×C22⋊C4—444no—
473C2×C42—21no—
474C2×C42—111no—
475C2×C42—221no—
476C2×C42C22×D1111yescharacteristic
477#107—441no—
478#107—441no—
479#102—22no—
480#102—114no—
481#102—114no—
482#102—114no—
483#102—222no—
484#102—441no—
485#102—441no—
486#102C4×D1114yes—
487C22⋊C8—222no—
488C4×C8—41no—
489C4×C8—441no—
490#95—21no—
491#95—111no—
492#95—111no—
493#95—221no—
494#95—221no—
495#95—221no—
496#95—221no—
497#95—221no—
498C2×C11—44no—
499C2×C11#234211yescharacteristic
500C2×C11C2×C4×D811yescharacteristic
501C2×C11#294911yescharacteristic
502C2×C11#329411yescharacteristic
503C2×C11#329411yescharacteristic
504C2×C11#329611yescharacteristic
505C2×C11#329611yescharacteristic
506D11—24no—
507D11—82no—
508C24—21no—
509C24—111no—
510C24—224no—
511C24—221no—
512C24—442no—
513C24—442no—
514C24—442no—
515C24—442no—
516C24—881no—
517C24—881no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—112no—
522C2×D4—224no—
523C2×D4—228no—
524C2×D4—221no—
525C2×D4—221no—
526C2×D4—221no—
527C2×D4—221no—
528C2×D4—221no—
529C2×D4—444no—
530C2×D4—444no—
531C2×D4—444no—
532C2×D4—442no—
533C2×D4—442no—
534C2×D4C2×C4×D1112yes—
535C2×D4#433912yes—
536C2×D4#433912yes—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—81no—
543C22×C4—111no—
544C22×C4—111no—
545C22×C4—112no—
546C22×C4—112no—
547C22×C4—111no—
548C22×C4—224no—
549C22×C4—221no—
550C22×C4—221no—
551C22×C4—221no—
552C22×C4—221no—
553C22×C4—221no—
554C22×C4—221no—
555C22×C4—221no—
556C22×C4—442no—
557C22×C4—442no—
558C22×C4—442no—
559C22×C4—442no—
560C22×C4—881no—
561C22×C4D4×D1111yescharacteristic
562C22×C4D4×D1111yescharacteristic
563C22×C4C23×D1111yescharacteristic
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—112no—
570C2×C8—221no—
571C2×C8—221no—
572C2×C8—221no—
573C2×C8—221no—
574C2×C8—221no—
575C2×C8—444no—
576C2×C8C2×C4×D1112yes—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—112no—
583C4⋊C4—224no—
584C4⋊C4—221no—
585C4⋊C4—221no—
586C4⋊C4—221no—
587C4⋊C4—221no—
588C4⋊C4—221no—
589C4⋊C4—442no—
590C4⋊C4—442no—
591C4⋊C4C2×C4×D1112yes—
592C22⋊C4—42no—
593C22⋊C4—114no—
594C22⋊C4—222no—
595C22⋊C4—442no—
596C22⋊C4—442no—
597C22⋊C4—442no—
598C22⋊C4—442no—
599C22⋊C4—442no—
600C22⋊C4—881no—
601C22⋊C4—881no—
602C42—21no—
603C42—21no—
604C42—42no—
605C42—221no—
606C42—221no—
607C42—442no—
608C11#2257011yescharacteristic, complemented, Sylow
609C23—22no—
610C23—22no—
611C23—22no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—112no—
617C23—112no—
618C23—112no—
619C23—221no—
620C23—221no—
621C23—221no—
622C23—221no—
623C23—222no—
624C23—448no—
625C23—448no—
626C23—441no—
627C23—441no—
628C23—441no—
629C23—441no—
630C23—441no—
631C23—441no—
632C23—884no—
633C23—884no—
634C23—884no—
635C23—884no—
636C23—884no—
637C23C2×D4×D1111yescharacteristic
638D4—22no—
639D4—22no—
640D4—22no—
641D4—222no—
642D4—222no—
643D4—448no—
644D4—441no—
645D4—441no—
646D4#6692514yescomplemented
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—22no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—84no—
662C2×C4—112no—
663C2×C4—112no—
664C2×C4—221no—
665C2×C4—221no—
666C2×C4—221no—
667C2×C4—221no—
668C2×C4—222no—
669C2×C4—222no—
670C2×C4—222no—
671C2×C4—222no—
672C2×C4—221no—
673C2×C4—221no—
674C2×C4—222no—
675C2×C4—221no—
676C2×C4—448no—
677C2×C4—441no—
678C2×C4—441no—
679C2×C4—441no—
680C2×C4—441no—
681C2×C4—441no—
682C2×C4—441no—
683C2×C4—441no—
684C2×C4—441no—
685C2×C4—884no—
686C2×C4D8×D1112yes—
687C2×C4C22×C4×D1111yescharacteristic
688C2×C4C2×#433911yescharacteristic
689C2×C4C2×#433911yescharacteristic
690C2×C4#6703711yescharacteristic
691C2×C4#41×D1111yescharacteristic
692C2×C4#6704211yescharacteristic
693C8—22no—
694C8—41no—
695C8—222no—
696C8—441no—
697C22—24no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—114no—
705C22—222no—
706C22—222no—
707C22—222no—
708C22—222no—
709C22—222no—
710C22—222no—
711C22—442no—
712C22—442no—
713C22—442no—
714C22—8816no—
715C22—881no—
716C22—881no—
717C22—881no—
718C22—881no—
719C22#1062302111yescharacteristic
720C22C4×D4×D1111yescharacteristic
721C22#1062308111yescharacteristic
722C22C2×D8×D1111yescharacteristic
723C22#1062329311yescharacteristic
724C22D11×#13511yescharacteristic
725C22#1062330111yescharacteristic
726C4—22no—
727C4—42no—
728C4—41no—
729C4—81no—
730C4—81no—
731C4—222no—
732C4—222no—
733C4—442no—
734C4—441no—
735C4—881no—
736C4—881no—
737C4C2×#6692511yescharacteristic
738C4#1062305811yescharacteristic
739C4#1062307611yescharacteristic
740C4#1062308711yescharacteristic
741C2—44no—
742C2—224no—
743C2—882no—
744C2#1307145911yescharacteristic
745C2C4×D8×D1111yescharacteristic
746C2#1307747011yescharacteristic
747C2#1308042511yescharacteristic
748C2#1308043111yescharacteristic
749C2#1308045211yescharacteristic
750C2#1308045611yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC4×C11×#102C2
socleC23×C11C22×D4
prime radicalC22×D4×D11C22
cosocleC22×C4×C11C24
hypercenterC4×#102D11
hypocenterC11#22570
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C4×#102

Complements

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

NH ≅ G/Ntype
2. #13071481C2semidirect
4. #13069299C2semidirect
5. #13069297C2semidirect
6. #13069236C2semidirect
7. #13069234C2semidirect
8. #13068863C2semidirect
9. #13068861C2semidirect
10. #13068701C2semidirect
11. #13068644C2semidirect
13. #102×Dic11C2semidirect
14. C8×(C2×D11)⋊C4C2semidirect
15. C4×C11×#102C2semidirect
25. C2×C4×C8×C11C22semidirect
26. C4×C11×C4⋊C4C22semidirect
33. C2×C8×Dic11C22semidirect
37. C4⋊C4×Dic11C22semidirect
38. #10622586C22semidirect
41. C2×#66871C22semidirect
42. C2×#66871C22semidirect
48. #10622541C22semidirect
49. D11×#102C4semidirect
52. C11×#340C22semidirect
53. C11×#340C22semidirect
54. #10622189C22semidirect
55. #10622189C22semidirect
56. #10622188C22semidirect
57. #10622167C22semidirect
58. #10622167C22semidirect
59. #10622162C22semidirect
108. C2×C8×D11C2×C4semidirect
110. C4⋊C4×D11C2×C4semidirect
126. #66885C2×C4semidirect
130. #66873C2×C4semidirect
247. C4×#102D11semidirect
281. D4×C11#117semidirect
357. C2×C4×C8C2×D11semidirect
371. C4×C4⋊C4C2×D11semidirect
377. #340C2×D11semidirect
378. #340C2×D11semidirect
608. C11#22570semidirect
646. D4#66925semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1022
#130714812
D4×(C2×D11)⋊C42
#130692992
#130692972
#130692362
#130692342
#130688632
#130688612
#130687012
#130686442
#130685452
#102×Dic112
C8×(C2×D11)⋊C42
C4×C11×#1022
#2257011