Finite Group Databasebeta

← #14662033

Subgroups — #14662033

Order 2816.

886 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622589C211yesmaximal, characteristic
2C2×#10622189C211yesmaximal, characteristic
3C2×#10622167C211yesmaximal, characteristic
4C2×#10622167C211yesmaximal, characteristic
5C2×#10622188C211yesmaximal, characteristic
6#13066845C211yesmaximal, characteristic
7C2×C11×#340C211yesmaximal, characteristic
8C23×C8×C11C2211yescharacteristic
9C22×C11×C4⋊C4C2211yescharacteristic
10C22×C11×C4⋊C4C2211yescharacteristic
11C22×C4⋊Dic11C2211yescharacteristic
12C22×C4⋊Dic11C2211yescharacteristic
13C22×Dic11⋊C4—21no—
14C22×Dic11⋊C4—21no—
15C22×C4×Dic11C2211yescharacteristic
16C23×C11⋊C8C2211yescharacteristic
17C2×C11⋊#95—21no—
18C2×C11⋊#95—21no—
19#10622589—22no—
20#10622589—22no—
21C11×#340—22no—
22#10622189—22no—
23#10622188C414yescomplemented
24#10622167—22no—
25#10622167—22no—
26C23×C4×C11—21no—
27C23×C4×C11—21no—
28C23×C4×C11C2311yescharacteristic
29C23×Dic11—21no—
30C23×Dic11—21no—
31C23×Dic11D411yescharacteristic
32C23×Dic11D411yescharacteristic
33C22×C8×C11—21no—
34C22×C8×C11—21no—
35C22×C8×C11—21no—
36C22×C8×C11—21no—
37C22×C8×C11—21no—
38C22×C8×C11—21no—
39C22×C8×C11C2×C412yes—
40C2×C11×C4⋊C4—21no—
41C2×C11×C4⋊C4—21no—
42C2×C11×C4⋊C4—21no—
43C2×C11×C4⋊C4—21no—
44C2×C11×C4⋊C4—21no—
45C2×C11×C4⋊C4—21no—
46C2×C11×C4⋊C4—21no—
47C2×C11×C4⋊C4—21no—
48C2×C11×C4⋊C4—21no—
49C2×C11×C4⋊C4—21no—
50C2×C11×C4⋊C4D412yes—
51C2×C11×C4⋊C4Q812yes—
52C2×C4⋊Dic11—21no—
53C2×C4⋊Dic11—21no—
54C2×C4⋊Dic11—21no—
55C2×C4⋊Dic11—21no—
56C2×C4⋊Dic11—21no—
57C2×C4⋊Dic11—21no—
58C2×C4⋊Dic11—21no—
59C2×C4⋊Dic11—21no—
60C2×C4⋊Dic11—21no—
61C2×C4⋊Dic11—21no—
62C2×C4⋊Dic11D412yes—
63C2×C4⋊Dic11D412yes—
64C2×Dic11⋊C4—24no—
65C2×Dic11⋊C4—24no—
66C2×Dic11⋊C4—42no—
67C2×Dic11⋊C4—42no—
68C2×Dic11⋊C4—42no—
69C2×Dic11⋊C4—42no—
70C2×C4×Dic11—21no—
71C2×C4×Dic11—21no—
72C2×C4×Dic11—21no—
73C2×C4×Dic11—21no—
74C2×C4×Dic11C2×C412yes—
75C2×C4×Dic11Q812yes—
76C22×C11⋊C8—21no—
77C22×C11⋊C8—21no—
78C22×C11⋊C8—21no—
79C22×C11⋊C8—21no—
80C22×C11⋊C8—21no—
81C22×C11⋊C8—21no—
82C22×C11⋊C8C2×C412yes—
83C11⋊#95—42no—
84C11⋊#95—42no—
85#11267—111nomaximal, Sylow
86C24×C11C2×D411yescharacteristic
87C22×C4×C11—22no—
88C22×C4×C11—22no—
89C22×C4×C11—41no—
90C22×C4×C11—41no—
91C22×C4×C11—41no—
92C22×C4×C11—41no—
93C22×C4×C11—41no—
94C22×C4×C11—41no—
95C22×C4×C11—41no—
96C22×C4×C11—41no—
97C22×C4×C11—41no—
98C22×C4×C11—41no—
99C22×C4×C11—41no—
100C22×C4×C11—41no—
101C22×C4×C11C22×C411yescharacteristic
102C22×C4×C11C2×D411yescharacteristic
103C22×C4×C11C2×D411yescharacteristic
104C22×C4×C11C2×D411yescharacteristic
105C22×C4×C11C2×Q811yescharacteristic
106C22×C4×C11C2×Q811yescharacteristic
107C22×C4×C11#4111yescharacteristic
108C22×C4×C11#4111yescharacteristic
109C22×C4×C11#4111yescharacteristic
110C22×C4×C11#4111yescharacteristic
111C22×C4×C11#4111yescharacteristic
112C22×C4×C11#4111yescharacteristic
113C22×C4×C11#4111yescharacteristic
114C22×C4×C11#4111yescharacteristic
115C22×Dic11—21no—
116C22×Dic11—21no—
117C22×Dic11—22no—
118C22×Dic11—22no—
119C22×Dic11—21no—
120C22×Dic11—21no—
121C22×Dic11—21no—
122C22×Dic11—21no—
123C22×Dic11—21no—
124C22×Dic11—21no—
125C22×Dic11—41no—
126C22×Dic11—41no—
127C22×Dic11—41no—
128C22×Dic11—41no—
129C22×Dic11—41no—
130C22×Dic11—41no—
131C22×Dic11—41no—
132C22×Dic11—41no—
133C22×Dic11—41no—
134C22×Dic11—41no—
135C22×Dic11—41no—
136C22×Dic11—41no—
137C22×Dic11C4⋊C412yes—
138C22×Dic11C4⋊C412yes—
139C22×Dic11D812yes—
140C22×Dic11SD1612yes—
141C22×Dic11SD1612yes—
142C22×Dic11Q1612yes—
143C2×C8×C11—22no—
144C2×C8×C11—22no—
145C2×C8×C11—22no—
146C2×C8×C11—41no—
147C2×C8×C11—41no—
148C2×C8×C11—41no—
149C2×C8×C11—41no—
150C11×C4⋊C4—22no—
151C11×C4⋊C4—22no—
152C11×C4⋊C4—22no—
153C11×C4⋊C4—22no—
154C11×C4⋊C4—41no—
155C11×C4⋊C4—41no—
156C11×C4⋊C4—41no—
157C11×C4⋊C4—41no—
158C4⋊Dic11—22no—
159C4⋊Dic11—22no—
160C4⋊Dic11—22no—
161C4⋊Dic11—22no—
162C4⋊Dic11—41no—
163C4⋊Dic11—41no—
164C4⋊Dic11—41no—
165C4⋊Dic11—41no—
166Dic11⋊C4—48no—
167Dic11⋊C4—48no—
168C4×Dic11—22no—
169C4×Dic11—22no—
170C4×Dic11—22no—
171C4×Dic11—22no—
172C2×C11⋊C8—22no—
173C2×C11⋊C8—22no—
174C2×C11⋊C8—22no—
175C2×C11⋊C8—41no—
176C2×C11⋊C8—41no—
177C2×C11⋊C8—41no—
178C2×C11⋊C8—41no—
179C2×#384—111no—
180C2×#340—111no—
181C2×#340—111no—
182C2×#340—111no—
183C2×#340D1111yescharacteristic
184C2×#336—111no—
185C4⋊#95—111no—
186C23×C11C2×C4⋊C411yescharacteristic
187C23×C11#12011yescharacteristic
188C23×C11#12111yescharacteristic
189C23×C11C22⋊Q811yescharacteristic
190C23×C11#12311yescharacteristic
191C23×C11#12411yescharacteristic
192C23×C11#12411yescharacteristic
193C23×C11C2×D811yescharacteristic
194C23×C11C2×SD1611yescharacteristic
195C23×C11C2×SD1611yescharacteristic
196C23×C11C2×Q1611yescharacteristic
197C23×C11AGL(1,ℤ/8)11yescharacteristic
198C23×C11AGL(1,ℤ/8)11yescharacteristic
199C23×C11#13711yescharacteristic
200C23×C11#13711yescharacteristic
201C2×C4×C11—42no—
202C2×C4×C11—42no—
203C2×C4×C11—42no—
204C2×C4×C11—42no—
205C2×C4×C11—42no—
206C2×C4×C11—42no—
207C2×C4×C11—81no—
208C2×C4×C11—81no—
209C2×C4×C11—81no—
210C2×C4×C11—81no—
211C2×C4×C11—81no—
212C2×C4×C11—81no—
213C2×C4×C11—81no—
214C2×C4×C11—81no—
215C2×C4×C11#11711yescharacteristic
216C2×C4×C11#11711yescharacteristic
217C2×C4×C11C4×D411yescharacteristic
218C2×C4×C11C4×D411yescharacteristic
219C2×C4×C11C4×D411yescharacteristic
220C2×C4×C11C4×Q811yescharacteristic
221C2×C4×C11#12111yescharacteristic
222C2×C4×C11#12111yescharacteristic
223C2×C4×C11C22⋊Q811yescharacteristic
224C2×C4×C11C22⋊Q811yescharacteristic
225C2×C4×C11C22⋊Q811yescharacteristic
226C2×C4×C11C22⋊Q811yescharacteristic
227C2×C4×C11#12311yescharacteristic
228C2×C4×C11#12311yescharacteristic
229C2×C4×C11#12311yescharacteristic
230C2×C4×C11#12311yescharacteristic
231C2×C4×C11#12411yescharacteristic
232C2×C4×C11#12411yescharacteristic
233C2×C4×C11#12511yescharacteristic
234C2×C4×C11#12511yescharacteristic
235C2×C4×C11#12511yescharacteristic
236C2×C4×C11#12511yescharacteristic
237C2×C4×C11#12511yescharacteristic
238C2×C4×C11#12611yescharacteristic
239C2×C4×C11#12611yescharacteristic
240C2×C4×C11#12611yescharacteristic
241C2×C4×C11#12611yescharacteristic
242C2×C4×C11C4⋊Q811yescharacteristic
243C2×Dic11—22no—
244C2×Dic11—22no—
245C2×Dic11—22no—
246C2×Dic11—22no—
247C2×Dic11—22no—
248C2×Dic11—22no—
249C2×Dic11—22no—
250C2×Dic11—22no—
251C2×Dic11—22no—
252C2×Dic11—22no—
253C2×Dic11—22no—
254C2×Dic11—22no—
255C2×Dic11—42no—
256C2×Dic11—42no—
257C2×Dic11—42no—
258C2×Dic11—42no—
259C2×Dic11—42no—
260C2×Dic11—42no—
261C2×Dic11—81no—
262C2×Dic11—81no—
263C2×Dic11—81no—
264C2×Dic11—81no—
265C2×Dic11—81no—
266C2×Dic11—81no—
267C2×Dic11—81no—
268C2×Dic11—81no—
269C2×Dic11#10614yes—
270C2×Dic11#10714yes—
271C8×C11—42no—
272C11⋊C8—42no—
273C23×C8—111no—
274C23×C8C2×D1111yescharacteristic
275C22×C4⋊C4—111no—
276C22×C4⋊C4—111no—
277C22×C4⋊C4—221no—
278C22×C4⋊C4—221no—
279C22×C4⋊C4C2×D1111yescharacteristic
280C22×C4⋊C4C2×D1111yescharacteristic
281C22×C42—111no—
282#384—222no—
283#384—222no—
284C2×#95—221no—
285C2×#95—221no—
286#340—22no—
287#340—222no—
288#340—222no—
289#340—222no—
290#336—114no—
291C22×C11#38211yescharacteristic
292C22×C11#38511yescharacteristic
293C22×C11#38911yescharacteristic
294C22×C11#39311yescharacteristic
295C22×C11#39411yescharacteristic
296C22×C11#39711yescharacteristic
297C22×C11#40011yescharacteristic
298C22×C11C2×#10611yescharacteristic
299C22×C11C2×#10711yescharacteristic
300C22×C11#42811yescharacteristic
301C22×C11#42811yescharacteristic
302C22×C11#44711yescharacteristic
303C22×C11#44811yescharacteristic
304C22×C11#45011yescharacteristic
305C22×C11#45111yescharacteristic
306C22×C11#45911yescharacteristic
307C22×C11#46011yescharacteristic
308C22×C11#46111yescharacteristic
309C22×C11#46211yescharacteristic
310C22×C11#47411yescharacteristic
311C22×C11#47511yescharacteristic
312C22×C11#47611yescharacteristic
313C22×C11#47711yescharacteristic
314C22×C11#48011yescharacteristic
315C22×C11#48111yescharacteristic
316C22×C11#48311yescharacteristic
317C22×C11#48411yescharacteristic
318C22×C11#48611yescharacteristic
319C22×C11#48611yescharacteristic
320C22×C11#48711yescharacteristic
321C22×C11#48711yescharacteristic
322C22×C11#48911yescharacteristic
323C22×C11#48911yescharacteristic
324C22×C11#49011yescharacteristic
325C22×C11#49111yescharacteristic
326C4×C11—82no—
327C4×C11—82no—
328C4×C11#38711yescharacteristic
329C4×C11#38711yescharacteristic
330C4×C11#38811yescharacteristic
331C4×C11#38811yescharacteristic
332C4×C11#39811yescharacteristic
333C4×C11#39811yescharacteristic
334C4×C11#40011yescharacteristic
335C4×C11#40011yescharacteristic
336Dic11—24no—
337Dic11—24no—
338Dic11—82no—
339Dic11—82no—
340C23×C4—21no—
341C23×C4—21no—
342C23×C4—111no—
343C23×C4—111no—
344C23×C4—221no—
345C23×C4—221no—
346C23×C4C22×D1111yescharacteristic
347C22×C8—21no—
348C22×C8—21no—
349C22×C8—21no—
350C22×C8—21no—
351C22×C8—21no—
352C22×C8—21no—
353C22×C8—112no—
354C22×C8—221no—
355C22×C8—221no—
356C22×C8—221no—
357C22×C8—221no—
358C22×C8—221no—
359C22×C8—221no—
360C22×C8C4×D1112yes—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—112no—
372C2×C4⋊C4—112no—
373C2×C4⋊C4—221no—
374C2×C4⋊C4—221no—
375C2×C4⋊C4—221no—
376C2×C4⋊C4—221no—
377C2×C4⋊C4—221no—
378C2×C4⋊C4—221no—
379C2×C4⋊C4—221no—
380C2×C4⋊C4—221no—
381C2×C4⋊C4—224no—
382C2×C4⋊C4—224no—
383C2×C4⋊C4—221no—
384C2×C4⋊C4—221no—
385C2×C4⋊C4—442no—
386C2×C4⋊C4—442no—
387C2×C4⋊C4—442no—
388C2×C4⋊C4—442no—
389C2×C4⋊C4Dic2212yes—
390C2×C4⋊C4C22⋊D1112yes—
391C2×C42—112no—
392C2×C42—112no—
393C2×C42—221no—
394C2×C42—221no—
395C2×C42—221no—
396C2×C42—221no—
397#95—442no—
398#95—442no—
399C2×C11#144211yescharacteristic
400C2×C11#183411yescharacteristic
401C2×C11#183611yescharacteristic
402C2×C11#185211yescharacteristic
403C2×C11#185311yescharacteristic
404C2×C11#194711yescharacteristic
405C2×C11#194811yescharacteristic
406C2×C11#202311yescharacteristic
407C2×C11#202411yescharacteristic
408C2×C11#204111yescharacteristic
409C2×C11#204311yescharacteristic
410C2×C11#207111yescharacteristic
411C2×C11#207211yescharacteristic
412C2×C11#209911yescharacteristic
413C2×C11#210011yescharacteristic
414C24D4×D1111yescharacteristic
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—41no—
418C22×C4—41no—
419C22×C4—41no—
420C22×C4—41no—
421C22×C4—41no—
422C22×C4—41no—
423C22×C4—41no—
424C22×C4—41no—
425C22×C4—41no—
426C22×C4—41no—
427C22×C4—41no—
428C22×C4—41no—
429C22×C4—112no—
430C22×C4—112no—
431C22×C4—112no—
432C22×C4—112no—
433C22×C4—112no—
434C22×C4—112no—
435C22×C4—221no—
436C22×C4—221no—
437C22×C4—221no—
438C22×C4—221no—
439C22×C4—221no—
440C22×C4—221no—
441C22×C4—221no—
442C22×C4—221no—
443C22×C4—222no—
444C22×C4—222no—
445C22×C4—441no—
446C22×C4—441no—
447C22×C4—441no—
448C22×C4—441no—
449C22×C4—441no—
450C22×C4—441no—
451C22×C4—441no—
452C22×C4—441no—
453C22×C4—441no—
454C22×C4—441no—
455C22×C4—441no—
456C22×C4—441no—
457C22×C4C2×Dic2211yescharacteristic
458C22×C4C2×C4×D1111yescharacteristic
459C22×C4#433911yescharacteristic
460C22×C4#433911yescharacteristic
461C22×C4#433911yescharacteristic
462C22×C4#433911yescharacteristic
463C22×C4D4×D1111yescharacteristic
464C22×C4D4×D1111yescharacteristic
465C22×C4#434111yescharacteristic
466C22×C4#434111yescharacteristic
467C22×C4#434111yescharacteristic
468C22×C4Q8×D1111yescharacteristic
469C22×C4#434311yescharacteristic
470C22×C4C2×C22⋊D1111yescharacteristic
471C2×C8—22no—
472C2×C8—22no—
473C2×C8—22no—
474C2×C8—41no—
475C2×C8—41no—
476C2×C8—41no—
477C2×C8—41no—
478C2×C8—222no—
479C2×C8—222no—
480C2×C8—222no—
481C2×C8—441no—
482C2×C8—441no—
483C2×C8—441no—
484C2×C8—441no—
485C4⋊C4—22no—
486C4⋊C4—22no—
487C4⋊C4—22no—
488C4⋊C4—22no—
489C4⋊C4—41no—
490C4⋊C4—41no—
491C4⋊C4—41no—
492C4⋊C4—41no—
493C4⋊C4—222no—
494C4⋊C4—222no—
495C4⋊C4—222no—
496C4⋊C4—222no—
497C4⋊C4—448no—
498C4⋊C4—448no—
499C4⋊C4—441no—
500C4⋊C4—441no—
501C4⋊C4—441no—
502C4⋊C4—441no—
503C42—222no—
504C42—222no—
505C42—222no—
506C42—222no—
507C11#1126711yescharacteristic, complemented, Sylow
508C23#6693111yescharacteristic
509C23#6693711yescharacteristic
510C23#6693811yescharacteristic
511C23#6693811yescharacteristic
512C23C4⋊C4×D1111yescharacteristic
513C23#6694711yescharacteristic
514C23D8×D1111yescharacteristic
515C23#6696411yescharacteristic
516C23SD16×D1111yescharacteristic
517C23SD16×D1111yescharacteristic
518C23#6696711yescharacteristic
519C23#6696811yescharacteristic
520C23Q16×D1111yescharacteristic
521C23#6697111yescharacteristic
522C23#6699011yescharacteristic
523C2×C4—42no—
524C2×C4—42no—
525C2×C4—42no—
526C2×C4—42no—
527C2×C4—42no—
528C2×C4—42no—
529C2×C4—81no—
530C2×C4—81no—
531C2×C4—81no—
532C2×C4—81no—
533C2×C4—81no—
534C2×C4—81no—
535C2×C4—81no—
536C2×C4—81no—
537C2×C4—114no—
538C2×C4—114no—
539C2×C4—222no—
540C2×C4—222no—
541C2×C4—222no—
542C2×C4—222no—
543C2×C4—222no—
544C2×C4—222no—
545C2×C4—222no—
546C2×C4—222no—
547C2×C4—222no—
548C2×C4—222no—
549C2×C4—222no—
550C2×C4—222no—
551C2×C4—442no—
552C2×C4—442no—
553C2×C4—442no—
554C2×C4—442no—
555C2×C4—442no—
556C2×C4—442no—
557C2×C4—881no—
558C2×C4—881no—
559C2×C4—881no—
560C2×C4—881no—
561C2×C4—881no—
562C2×C4—881no—
563C2×C4—881no—
564C2×C4—881no—
565C2×C4C4×Dic2211yescharacteristic
566C2×C4#6692311yescharacteristic
567C2×C4#6692511yescharacteristic
568C2×C4#6692911yescharacteristic
569C2×C4#6693011yescharacteristic
570C2×C4#6693111yescharacteristic
571C2×C4#6693211yescharacteristic
572C2×C4(C22⋊D11)⋊C411yescharacteristic
573C2×C4#6693611yescharacteristic
574C2×C4#6693611yescharacteristic
575C2×C4#6693711yescharacteristic
576C2×C4#6693811yescharacteristic
577C2×C4#6694111yescharacteristic
578C2×C4#6694211yescharacteristic
579C2×C4#6694211yescharacteristic
580C2×C4#6694211yescharacteristic
581C2×C4#6694311yescharacteristic
582C2×C4#6694611yescharacteristic
583C2×C4#6694711yescharacteristic
584C2×C4#6694911yescharacteristic
585C2×C4#6695111yescharacteristic
586C2×C4#6695111yescharacteristic
587C2×C4#6697711yescharacteristic
588C2×C4C4×C22⋊D1111yescharacteristic
589C2×C4#6698211yescharacteristic
590C2×C4#6698911yescharacteristic
591C2×C4#6699211yescharacteristic
592C2×C4#6699911yescharacteristic
593C8—42no—
594C8—442no—
595C22#1062226011yescharacteristic
596C22#1062226311yescharacteristic
597C22#1062227311yescharacteristic
598C22#1062228811yescharacteristic
599C22#1062237211yescharacteristic
600C22#1062237311yescharacteristic
601C22#1062237311yescharacteristic
602C22#1062237411yescharacteristic
603C22#1062237511yescharacteristic
604C22#1062237711yescharacteristic
605C22#1062237811yescharacteristic
606C22#1062239911yescharacteristic
607C22#1062240411yescharacteristic
608C22#1062240511yescharacteristic
609C22#1062240511yescharacteristic
610C22#1062240611yescharacteristic
611C22#1062240711yescharacteristic
612C22#1062240811yescharacteristic
613C22#1062241011yescharacteristic
614C22#1062243111yescharacteristic
615C22D11×#10611yescharacteristic
616C22#1062247411yescharacteristic
617C22#1062247511yescharacteristic
618C22#1062247611yescharacteristic
619C22D11×#10711yescharacteristic
620C22#1062249411yescharacteristic
621C22#1062249511yescharacteristic
622C22#1062249711yescharacteristic
623C22#1062256011yescharacteristic
624C22#1062257211yescharacteristic
625C22#1062260211yescharacteristic
626C22#1062276911yescharacteristic
627C22#1062278211yescharacteristic
628C22#1062278311yescharacteristic
629C22#1062279911yescharacteristic
630C4—82no—
631C4—82no—
632C4—224no—
633C4—224no—
634C4—882no—
635C4—882no—
636C4#1062226711yescharacteristic
637C4#1062227011yescharacteristic
638C4#1062227111yescharacteristic
639C4#1062228211yescharacteristic
640C4#1062254611yescharacteristic
641C4#1062255811yescharacteristic
642C4#1062259511yescharacteristic
643C4#1062259711yescharacteristic
644C2#1306687411yescharacteristic
645C2#1306874211yescharacteristic
646C2#1306874811yescharacteristic
647C2#1306880211yescharacteristic
648C2#1306880711yescharacteristic
649C2#1306937311yescharacteristic
650C2#1306937811yescharacteristic
651C2#1306975011yescharacteristic
652C2#1306975511yescharacteristic
653C2#1306984811yescharacteristic
654C2#1306986011yescharacteristic
655C2#1307002311yescharacteristic
656C2#1307002811yescharacteristic
657C2#1307017711yescharacteristic
658C2#1307018211yescharacteristic
subgroupG/H
centerC24D4×D11
commutatorC22×C4×C11C22×C4
FrattiniC23×C4C22×D11
FittingC2×C11×#340C2
socle, prime radicalC24×C11C2×D4
cosocleC23×C4×C11C23
hypercenterC2×#340D11
hypocenterC11#11267
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C24 ◁ C23×C4 ◁ C2×#340

Complements

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

NH ≅ G/Ntype
23. #10622188C4semidirect
507. C11#11267semidirect

Maximal subgroups

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

subgroupindex
C2×#106225892
C2×#106221892
C2×#106221672
C2×#106221882
#130668452
C2×C11×#3402
#1126711