Finite Group Databasebeta

← #14760475

Subgroups — #14760475

Order 2816.

1170 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622395C211yesmaximal, characteristic
2C2×#10622398C211yesmaximal, characteristic, complemented
3C2×C4×#4313C211yesmaximal, characteristic, complemented
4#13071132C211yesmaximal, characteristic, complemented
5#13071124C211yesmaximal, characteristic, complemented
6#13069481C211yesmaximal, characteristic, complemented
7#13069341C211yesmaximal, characteristic, complemented
8#13069299C211yesmaximal, characteristic, complemented
9#13069053C211yesmaximal, characteristic, complemented
10#13069051C211yesmaximal, characteristic, complemented
11#13068648C211yesmaximal, characteristic, complemented
12#13068512C211yesmaximal, characteristic, complemented
13#13068443C211yesmaximal, characteristic, complemented
14#13068440C211yesmaximal, characteristic, complemented
15C11×#1934C211yesmaximal, characteristic, complemented
16C2×#66991C2211yescharacteristic
17C2×D4×Dic11C2211yescharacteristic
18C22×#4323C2211yescharacteristic
19C22×#4313C2211yescharacteristic
20C22×#4313C2211yescharacteristic
21C2×#66948C2211yescharacteristic
22C2×#66946—21no—
23C2×#66946C2211yescharacteristic
24C2×(C22⋊D11)⋊C4—21no—
25C2×C42×D11C2211yescharacteristic
26C2×C11×#102C2211yescharacteristic
27C2×C11×#102C2211yescharacteristic
28C2×C4×C8×C11C2211yescharacteristic
29C11×#390C2211yescharacteristic
30C11×#389C2211yescharacteristic
31C2×#66896C2211yescharacteristic
32C2×#66885C2211yescharacteristic
33C2×#66885C2211yescharacteristic
34C2×#66879C2211yescharacteristic
35C2×#66879C2211yescharacteristic
36#10622603—21no—
37#10622600C2211yescharacteristic
38#10622600C2211yescharacteristic
39C4⋊C4×Dic11C2211yescharacteristic
40C4⋊C4×Dic11C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42C2×#66872C2211yescharacteristic
43C2×#66872C2211yescharacteristic
44C2×#66871C2211yescharacteristic
45#10622569—21no—
46#10622558—21no—
47C22⋊C4×Dic11—21no—
48#10622552C2211yescharacteristic
49#10622541C2211yescharacteristic
50C2×C4×C11⋊C8C2211yescharacteristic
51#10622398—24no—
52#10622395C418yescomplemented
53C4×#4313—24no—
54#10622279—21no—
55#10622278—21no—
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622189C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×D4×C11C2311yescharacteristic
63C22×C22⋊D11—21no—
64C23×Dic11—21no—
65C22×D44—21no—
66C22×D44C2311yescharacteristic
67C22×C4×D11—21no—
68C22×C4×D11D411yescharacteristic
69C22×C4×D11D411yescharacteristic
70C22×C4×D11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C2×C11×C4⋊C4—21no—
74C2×C11×C4⋊C4C2311yescharacteristic
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C22⋊C4—21no—
78C2×C11×C22⋊C4—21no—
79C2×C42×C11C2311yescharacteristic
80C2×C22⋊Dic11—21no—
81C2×C22⋊Dic11—21no—
82#66991—22no—
83#66991C2×C414yescomplemented
84D4×Dic11—22no—
85D4×Dic11—22no—
86C2×#4323—22no—
87C2×#4323—22no—
88C2×#4323C2×C414yescomplemented
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×(C2×D11)⋊C4—21no—
94C2×(C2×D11)⋊C4—21no—
95C2×C4⋊Dic11C2311yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97C2×C4⋊Dic11C2311yescharacteristic
98C2×Dic11⋊C4—21no—
99C2×C4×Dic11—21no—
100C2×C4×Dic11—21no—
101C2×C4×Dic11D411yescharacteristic
102C2×C4×Dic11D411yescharacteristic
103C2×C4×Dic11C2311yescharacteristic
104C22×C11⋊C8C2311yescharacteristic
105C22×C11⋊C8C2311yescharacteristic
106C2×#4313—22no—
107C2×#4313—22no—
108C2×#4313—22no—
109C2×#4313—22no—
110C2×#4313—22no—
111C2×#4313C2×C414yescomplemented
112#66948—22no—
113#66948C2×C414yescomplemented
114#66946—22no—
115#66946—22no—
116#66946—44no—
117(C22⋊D11)⋊C4—44no—
118C42×D11—22no—
119C42×D11—22no—
120C11×#102—22no—
121C11×#102C2×C414yescomplemented
122C4×C8×C11—22no—
123C11×#95—21no—
124#66896—22no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130#66885—22no—
131#66885C2×C414yescomplemented
132#66879—22no—
133#66879D414yescomplemented
134#66873—22no—
135#66872—22no—
136#66872C2×C414yescomplemented
137#66871—22no—
138C4×C11⋊C8—22no—
139#21538—111nomaximal, Sylow
140C24×C11—21no—
141C23×D11—21no—
142C23×D11C2×D411yescharacteristic
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11C22×C412yes—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11C2×D411yescharacteristic
154C22×C4×C11C2411yescharacteristic
155C2×C22⋊D11—24no—
156C2×C22⋊D11—42no—
157C2×C22⋊D11—42no—
158C22×Dic11—21no—
159C22×Dic11—21no—
160C22×Dic11—21no—
161C22×Dic11—42no—
162C22×Dic11—42no—
163C22×Dic11—42no—
164C22×Dic11C2×D411yescharacteristic
165C22×Dic11C2×D411yescharacteristic
166C22×Dic11C2×D411yescharacteristic
167C2×D44—24no—
168C2×D44—21no—
169C2×D44—21no—
170C2×D44—21no—
171C2×D44—21no—
172C2×D44—21no—
173C2×D44—42no—
174C2×D44—42no—
175C2×D44C22×C412yes—
176C2×C4×D11—22no—
177C2×C4×D11—22no—
178C2×C4×D11—22no—
179C2×C4×D11—22no—
180C2×C4×D11—21no—
181C2×C4×D11—21no—
182C2×C4×D11—21no—
183C2×C4×D11—21no—
184C2×C4×D11—41no—
185C2×C4×D11—41no—
186C2×C4×D11—42no—
187C2×C4×D11—42no—
188C2×C4×D11—42no—
189C2×C4×D11C22×C412yes—
190C2×C4×D11#4112yes—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11C22×C412yes—
196C2×C8×C11C2×D412yes—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—21no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4—42no—
203C11×C4⋊C4C22×C412yes—
204C11×C22⋊C4—42no—
205C11×C22⋊C4—42no—
206C42×C11—21no—
207C42×C11—21no—
208C22⋊Dic11—24no—
209C22⋊Dic11—42no—
210#4323—28no—
211(C2×D11)⋊C4—24no—
212(C2×D11)⋊C4—42no—
213(C2×D11)⋊C4—42no—
214(C2×D11)⋊C4—42no—
215(C2×D11)⋊C4—42no—
216(C2×D11)⋊C4—42no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11C22×C412yes—
223Dic11⋊C4—42no—
224C4×Dic11—22no—
225C4×Dic11—22no—
226C4×Dic11—42no—
227C4×Dic11—42no—
228C4×Dic11C2×D412yes—
229C4×Dic11#4112yes—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8C22×C412yes—
233C2×C11⋊C8C2×D412yes—
234C2×C11⋊C8#4112yes—
235C2×C11⋊C8#4112yes—
236#4313—28no—
237#4313—28no—
238C2×#469—111no—
239C2×#442—111no—
240C2×C4×M16—111no—
241C4×#121—111no—
242C4×#121—111no—
243#1970—111no—
244#1941—111no—
245#1934—111no—
246#1934D1111yescharacteristic, complemented
247#1895—111no—
248#1895—111no—
249#1809—111no—
250#1776—111no—
251#1762—111no—
252#1762—111no—
253C23×C11—22no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11C22×D411yescharacteristic
261C22×D11—21no—
262C22×D11—21no—
263C22×D11—21no—
264C22×D11—21no—
265C22×D11—21no—
266C22×D11—21no—
267C22×D11—22no—
268C22×D11—41no—
269C22×D11—41no—
270C22×D11—41no—
271C22×D11—41no—
272C22×D11—41no—
273C22×D11—41no—
274C22×D11C4×D412yes—
275D4×C11—22no—
276D4×C11—22no—
277D4×C11—41no—
278D4×C11—41no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—22no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11AGL(1,ℤ/8)12yes—
293C2×C4×C11AGL(1,ℤ/8)12yes—
294C2×C4×C11C23×C411yescharacteristic
295C2×C4×C11C22×D411yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C22⋊D11—48no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—21no—
307C2×Dic11—22no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—84no—
317C2×Dic11C4×D412yes—
318C2×Dic11#12112yes—
319C2×Dic11#12112yes—
320D44—22no—
321D44—22no—
322D44—48no—
323D44—41no—
324D44—41no—
325C4×D11—22no—
326C4×D11—22no—
327C4×D11—22no—
328C4×D11—22no—
329C4×D11—44no—
330C4×D11—44no—
331C4×D11—84no—
332C8×C11—22no—
333C8×C11—22no—
334C11⋊C8—22no—
335C11⋊C8C4×D414yescomplemented
336C22×D8—111no—
337C22×M16—111no—
338C22×M16—111no—
339C2×#121—111no—
340C2×#121—111no—
341C2×C4×D4—111no—
342C2×C4×D4—111no—
343C2×C4×D4—221no—
344C2×C4×D4—221no—
345C22×C42—111no—
346#469—118no—
347#442—224no—
348C2×#107—111no—
349C2×#106—111no—
350C2×#106—111no—
351C2×#102—111no—
352C2×#102—111no—
353C2×#102—111no—
354C2×#102—111no—
355C2×#102C2×D1111yescharacteristic
356C2×#102C2×D1111yescharacteristic
357C4×M16—224no—
358C2×#97—111no—
359C2×#97—111no—
360C2×C4×C8—111no—
361C2×C4×C8C2×D1111yescharacteristic
362#390—111no—
363#390C2×D1111yescharacteristic
364#389—111no—
365#389C2×D1111yescharacteristic
366#388—221no—
367#388—221no—
368#386—221no—
369#386—221no—
370#380—111no—
371#380—111no—
372C4×C4⋊C4—111no—
373C4×C4⋊C4—111no—
374C4×C22⋊C4—221no—
375C4×C22⋊C4—221no—
376#340—111no—
377#340—111no—
378#340—111no—
379#340—111no—
380#340C2×D1111yescharacteristic
381#340C2×D1111yescharacteristic
382C22×C11—42no—
383C22×C11—42no—
384C22×C11—42no—
385C22×C11—81no—
386C22×C11—81no—
387C22×C11—81no—
388C22×C11—81no—
389C22×C11C2×C4×D411yescharacteristic
390C22×C11C2×#12111yescharacteristic
391C22×C11#53211yescharacteristic
392C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
393C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
394C22×C11#57511yescharacteristic
395C22×C11#57511yescharacteristic
396C2×D11—22no—
397C2×D11—22no—
398C2×D11—22no—
399C2×D11—41no—
400C2×D11—41no—
401C2×D11—41no—
402C2×D11—41no—
403C2×D11—42no—
404C2×D11—42no—
405C2×D11—42no—
406C2×D11—81no—
407C2×D11—81no—
408C2×D11—81no—
409C2×D11—81no—
410C4×C11—22no—
411C4×C11—22no—
412C4×C11—42no—
413C4×C11—81no—
414C4×C11—81no—
415C4×C11C2×C4×D411yescharacteristic
416C4×C11C4×#4111yescharacteristic
417C4×C11#52511yescharacteristic
418C4×C11#52911yescharacteristic
419Dic11—22no—
420Dic11—22no—
421Dic11—22no—
422Dic11—42no—
423Dic11—81no—
424Dic11—81no—
425C22×D4—111no—
426C22×D4—221no—
427C22×D4—221no—
428C22×D4C22×D1111yescharacteristic
429C23×C4—111no—
430C23×C4—111no—
431C23×C4—111no—
432C23×C4—221no—
433C23×C4—221no—
434C2×D8—114no—
435C2×D8—222no—
436C2×D8—222no—
437C2×M16—114no—
438C2×M16—222no—
439C2×M16—222no—
440C2×M16—222no—
441C2×M16—222no—
442C2×M16—222no—
443C22×C8—111no—
444C22×C8—111no—
445C22×C8C22×D1111yescharacteristic
446C22×C8C22×D1111yescharacteristic
447#121—114no—
448#121—114no—
449#121—222no—
450#121—222no—
451C4×D4—222no—
452C4×D4—222no—
453C4×D4—222no—
454C4×D4—222no—
455C4×D4—444no—
456C4×D4—444no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—111no—
459C2×C4⋊C4—111no—
460C2×C4⋊C4—111no—
461C2×C4⋊C4—221no—
462C2×C4⋊C4C22×D1111yescharacteristic
463C2×C4⋊C4C22×D1111yescharacteristic
464C2×C4⋊C4C22×D1111yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—221no—
468C2×C22⋊C4—221no—
469C2×C22⋊C4—221no—
470C2×C22⋊C4—221no—
471C2×C22⋊C4—221no—
472C2×C22⋊C4—221no—
473C2×C22⋊C4—221no—
474C2×C22⋊C4—221no—
475C2×C42—111no—
476C2×C42—111no—
477C2×C42—111no—
478C2×C42—222no—
479C2×C42—222no—
480C2×C42—221no—
481C2×C42—221no—
482C2×C42C22×D1111yescharacteristic
483#107—222no—
484#106—114no—
485#106—222no—
486#102—22no—
487#102—114no—
488#102—222no—
489#102—222no—
490#102—222no—
491#102C4×D1114yescomplemented
492#97—114no—
493#97—222no—
494C4×C8—22no—
495C4×C8—222no—
496#95—21no—
497#95—221no—
498#95—221no—
499#95—221no—
500#95—221no—
501#95—221no—
502C2×C11—82no—
503C2×C11C4×#12111yescharacteristic
504C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
505C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
506C2×C11#305511yescharacteristic
507C2×C11#305511yescharacteristic
508C2×C11#318311yescharacteristic
509C2×C11#318411yescharacteristic
510D11—42no—
511D11—82no—
512C24—21no—
513C24—111no—
514C24—221no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—112no—
521C2×D4—224no—
522C2×D4—224no—
523C2×D4—221no—
524C2×D4—221no—
525C2×D4—221no—
526C2×D4—221no—
527C2×D4—221no—
528C2×D4—442no—
529C2×D4—442no—
530C2×D4—442no—
531C2×D4—442no—
532C2×D4C2×C4×D1112yes—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—111no—
537C22×C4—111no—
538C22×C4—111no—
539C22×C4—112no—
540C22×C4—112no—
541C22×C4—222no—
542C22×C4—222no—
543C22×C4—221no—
544C22×C4—221no—
545C22×C4—221no—
546C22×C4—221no—
547C22×C4—221no—
548C22×C4—222no—
549C22×C4—222no—
550C22×C4—221no—
551C22×C4—221no—
552C22×C4—441no—
553C22×C4—441no—
554C22×C4—442no—
555C22×C4—442no—
556C22×C4—442no—
557C22×C4—442no—
558C22×C4—442no—
559C22×C4—442no—
560C22×C4D4×D1111yescharacteristic
561C22×C4D4×D1111yescharacteristic
562C22×C4C23×D1111yescharacteristic
563D8—228no—
564M16—228no—
565M16—228no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—112no—
571C2×C8—112no—
572C2×C8—112no—
573C2×C8—112no—
574C2×C8—221no—
575C2×C8—221no—
576C2×C8C2×C4×D1112yes—
577C2×C8D4×D1112yes—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—42no—
584C4⋊C4—112no—
585C4⋊C4—221no—
586C4⋊C4—221no—
587C4⋊C4—221no—
588C4⋊C4—221no—
589C4⋊C4—221no—
590C4⋊C4—442no—
591C4⋊C4C2×C4×D1112yes—
592C22⋊C4—42no—
593C22⋊C4—42no—
594C22⋊C4—224no—
595C22⋊C4—224no—
596C22⋊C4—442no—
597C22⋊C4—442no—
598C22⋊C4—442no—
599C22⋊C4—442no—
600C22⋊C4—442no—
601C22⋊C4—442no—
602C42—21no—
603C42—21no—
604C42—112no—
605C42—112no—
606C42—222no—
607C42—222no—
608C42—442no—
609C42—442no—
610C11#2153811yescharacteristic, complemented, Sylow
611C23—22no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—112no—
619C23—221no—
620C23—221no—
621C23—221no—
622C23—221no—
623C23—221no—
624C23—221no—
625C23—222no—
626C23—441no—
627C23—441no—
628C23—441no—
629C23—441no—
630C23—441no—
631C23—441no—
632C23C2×D4×D1111yescharacteristic
633D4—22no—
634D4—22no—
635D4—41no—
636D4—41no—
637D4—222no—
638D4—222no—
639D4—448no—
640D4—448no—
641D4—441no—
642D4—441no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—112no—
657C2×C4—112no—
658C2×C4—112no—
659C2×C4—221no—
660C2×C4—221no—
661C2×C4—221no—
662C2×C4—221no—
663C2×C4—221no—
664C2×C4—221no—
665C2×C4—222no—
666C2×C4—222no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—222no—
670C2×C4—444no—
671C2×C4—444no—
672C2×C4—441no—
673C2×C4—441no—
674C2×C4—441no—
675C2×C4—441no—
676C2×C4—441no—
677C2×C4—441no—
678C2×C4—441no—
679C2×C4—441no—
680C2×C4—884no—
681C2×C4—884no—
682C2×C4#6696412yes—
683C2×C4#6696712yes—
684C2×C4C22×C4×D1111yescharacteristic
685C2×C4C2×D4×D1111yescharacteristic
686C2×C4#41×D1111yescharacteristic
687C2×C4#41×D1111yescharacteristic
688C2×C4#41×D1111yescharacteristic
689C2×C4#41×D1111yescharacteristic
690C8—22no—
691C8—22no—
692C8—114no—
693C8—222no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—81no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—222no—
702C22—222no—
703C22—222no—
704C22—441no—
705C22—441no—
706C22—441no—
707C22—441no—
708C22—442no—
709C22—442no—
710C22—442no—
711C22—881no—
712C22—881no—
713C22—881no—
714C22—881no—
715C22C4×D4×D1111yescharacteristic
716C22D11×#12111yescharacteristic
717C22#1062319911yescharacteristic
718C22C2×#6696411yescharacteristic
719C22C2×#6696711yescharacteristic
720C22#1062329911yescharacteristic
721C22#1062329911yescharacteristic
722C4—22no—
723C4—22no—
724C4—42no—
725C4—81no—
726C4—81no—
727C4—222no—
728C4—222no—
729C4—222no—
730C4—442no—
731C4—881no—
732C4—881no—
733C4#1062305311yescharacteristic
734C4C4×D4×D1111yescharacteristic
735C4#1062318711yescharacteristic
736C4#1062323711yescharacteristic
737C2—82no—
738C2—442no—
739C2—882no—
740C2#1307112811yescharacteristic
741C2C4×#6696411yescharacteristic
742C2C4×#6696711yescharacteristic
743C2#1307822811yescharacteristic
744C2#1307823211yescharacteristic
745C2#1307934411yescharacteristic
746C2#1307935311yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1934C2
socleC23×C11C22×D4
prime radicalC2×#10622395C2
cosocleC22×C4×C11C24
hypercenter#1934D11
hypocenterC11#21538
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1934

Complements

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

NH ≅ G/Ntype
2. C2×#10622398C2semidirect
3. C2×C4×#4313C2semidirect
4. #13071132C2semidirect
5. #13071124C2semidirect
6. #13069481C2semidirect
7. #13069341C2semidirect
8. #13069299C2semidirect
9. #13069053C2semidirect
10. #13069051C2semidirect
11. #13068648C2semidirect
12. #13068512C2semidirect
13. #13068443C2semidirect
14. #13068440C2semidirect
15. C11×#1934C2semidirect
52. #10622395C4semidirect
83. #66991C2×C4semidirect
88. C2×#4323C2×C4semidirect
111. C2×#4313C2×C4semidirect
113. #66948C2×C4semidirect
121. C11×#102C2×C4semidirect
131. #66885C2×C4semidirect
133. #66879D4semidirect
136. #66872C2×C4semidirect
246. #1934D11semidirect
335. C11⋊C8C4×D4semidirect
491. #102C4×D11semidirect
610. C11#21538semidirect

Maximal subgroups

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

subgroupindex
C2×#106223952
C2×#106223982
C2×C4×#43132
#130711322
#130711242
#130694812
#130693412
#130692992
#130690532
#130690512
#130686482
#130685122
#130684432
#130684402
C11×#19342
#2153811