Finite Group Databasebeta

← #14813270

Subgroups — #14813270

Order 2816.

1008 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622495C211yesmaximal, characteristic, complemented
2#13072050C211yesmaximal, characteristic
3C4⋊C4×C22⋊D11C211yesmaximal, characteristic, complemented
4#13070141C211yesmaximal, characteristic, complemented
5#13070090C211yesmaximal, characteristic, complemented
6#13070040C211yesmaximal, characteristic, complemented
7#13069800C211yesmaximal, characteristic, complemented
8#13069235C211yesmaximal, characteristic, complemented
9#13069189C211yesmaximal, characteristic, complemented
10#13069044C211yesmaximal, characteristic, complemented
11#13068933C211yesmaximal, characteristic, complemented
12#13068908C211yesmaximal, characteristic, complemented
13#13068804C211yesmaximal, characteristic, complemented
14#13068802C211yesmaximal, characteristic, complemented
15C22×C11×#107C211yesmaximal, characteristic, complemented
16C23×C8×C11C2211yescharacteristic
17C22×C11×C4⋊C4C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C2×#66983—21no—
20C2×#66983C2211yescharacteristic
21C2×C4×C22⋊D11—21no—
22C2×C4×C22⋊D11C2211yescharacteristic
23C2×#66948C2211yescharacteristic
24C2×C4⋊C4×D11C2211yescharacteristic
25C2×C11×#107—24no—
26C2×C11×#107C2211yescharacteristic
27C2×C11×#107C2211yescharacteristic
28C2×C11×#107C2211yescharacteristic
29C2×C11×#107C2211yescharacteristic
30#10622826—21no—
31#10622825C2211yescharacteristic
32#10622823—21no—
33C2×C22⋊(C11⋊C8)C2211yescharacteristic
34C2×#66885C2211yescharacteristic
35C2×#66885C2211yescharacteristic
36C2×(C2×D11)⋊C8C2211yescharacteristic
37C2×(C2×D11)⋊C8C2211yescharacteristic
38#10622607—21no—
39#10622604—21no—
40#10622602—21no—
41#10622601C2211yescharacteristic
42#10622600C2211yescharacteristic
43#10622600C2211yescharacteristic
44#10622598C2211yescharacteristic
45#10622589C2211yescharacteristic
46C4⋊C4×Dic11C2211yescharacteristic
47#10622585—21no—
48C2×#66873C2211yescharacteristic
49C2×#66873C2211yescharacteristic
50C2×#66871C2211yescharacteristic
51C2×#66871C2211yescharacteristic
52#10622495—24no—
53#10622189C2211yescharacteristic
54#10622189C2211yescharacteristic
55#10622188C2211yescharacteristic
56#10622188C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61C23×C4×C11—21no—
62C23×C4×C11—21no—
63C23×C4×C11C2311yescharacteristic
64C22×C22⋊D11—21no—
65C22×C22⋊D11D411yescharacteristic
66C22×D44—21no—
67C22×D44C2311yescharacteristic
68C22×C4×D11—21no—
69C22×C4×D11C2311yescharacteristic
70C22×C8×C11—22no—
71C22×C8×C11—22no—
72C22×C8×C11—22no—
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C2×C11×C4⋊C4—22no—
76C2×C11×C4⋊C4—22no—
77C2×C11×C4⋊C4—21no—
78C2×C11×C4⋊C4—21no—
79C2×C11×C4⋊C4—41no—
80C2×C11×C4⋊C4—41no—
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C22⋊Dic11—21no—
86C2×C22⋊Dic11D411yescharacteristic
87#66983—22no—
88#66983—22no—
89#66983—44no—
90C4×C22⋊D11—22no—
91C4×C22⋊D11—22no—
92C4×C22⋊D11—44no—
93C2×(C2×D11)⋊C4—21no—
94C2×(C2×D11)⋊C4—21no—
95C2×(C2×D11)⋊C4—21no—
96C2×(C2×D11)⋊C4—21no—
97C2×(C2×D11)⋊C4—21no—
98C2×(C2×D11)⋊C4—21no—
99C2×(C2×D11)⋊C4D411yescharacteristic
100C2×C4⋊Dic11—21no—
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×Dic11⋊C4—21no—
105C2×Dic11⋊C4—21no—
106C2×Dic11⋊C4—21no—
107C2×Dic11⋊C4D411yescharacteristic
108C2×C4×Dic11—21no—
109C2×C4×Dic11C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112#66948—22no—
113#66948—41no—
114C4⋊C4×D11—22no—
115C4⋊C4×D11—41no—
116C11×#107—22no—
117C11×#107—22no—
118C11×#107—22no—
119C11×#107D414yescomplemented
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C22⋊(C11⋊C8)—22no—
126#66885—22no—
127#66885—22no—
128(C2×D11)⋊C8—22no—
129(C2×D11)⋊C8—22no—
130#66873—22no—
131#66873—41no—
132#66871—22no—
133#66871—41no—
134#26126—111nomaximal, Sylow
135C24×C11C2×D411yescharacteristic
136C23×D11—21no—
137C23×D11C2×D411yescharacteristic
138C22×C4×C11—21no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—42no—
147C22×C4×C11—42no—
148C22×C4×C11—42no—
149C22×C4×C11—42no—
150C22×C4×C11—81no—
151C22×C4×C11—81no—
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11#4112yes—
154C22×C4×C11#4112yes—
155C22×C4×C11C2411yescharacteristic
156C2×C22⋊D11—22no—
157C2×C22⋊D11—22no—
158C2×C22⋊D11—42no—
159C2×C22⋊D11—42no—
160C2×C22⋊D11—42no—
161C2×C22⋊D11D814yes—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11C2×D411yescharacteristic
166C22×Dic11C2×D411yescharacteristic
167C22×Dic11C2×D411yescharacteristic
168C2×D44—21no—
169C2×D44—21no—
170C2×D44—21no—
171C2×D44—21no—
172C2×D44—21no—
173C2×D44—21no—
174C2×D44—42no—
175C2×D44—42no—
176C2×D44—81no—
177C2×C4×D11—21no—
178C2×C4×D11—21no—
179C2×C4×D11—21no—
180C2×C4×D11—21no—
181C2×C4×D11—21no—
182C2×C4×D11—21no—
183C2×C4×D11—42no—
184C2×C4×D11—42no—
185C2×C4×D11—81no—
186C2×C8×C11—28no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11C2×D412yes—
192C2×C8×C11#4112yes—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—42no—
200C11×C4⋊C4—42no—
201C11×C4⋊C4C2×D412yes—
202C11×C4⋊C4C2×D412yes—
203C22⋊Dic11—22no—
204C22⋊Dic11—42no—
205(C2×D11)⋊C4—22no—
206(C2×D11)⋊C4—42no—
207(C2×D11)⋊C4—42no—
208(C2×D11)⋊C4—42no—
209(C2×D11)⋊C4—42no—
210(C2×D11)⋊C4—42no—
211(C2×D11)⋊C4—81no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—42no—
219Dic11⋊C4—22no—
220Dic11⋊C4—42no—
221Dic11⋊C4—42no—
222Dic11⋊C4—81no—
223C4×Dic11—21no—
224C4×Dic11—21no—
225C4×Dic11—42no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×#480—111no—
233C22×#107D1111yescharacteristic, complemented
234#2416—111no—
235D4×C4⋊C4—111no—
236#2093—111no—
237#2083—111no—
238#2075—111no—
239#2033—111no—
240#1925—111no—
241#1918—111no—
242#1893—111no—
243#1874—111no—
244#1869—111no—
245#1852—111no—
246#1852—111no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11#12312yes—
252C23×C11C2×D812yes—
253C23×C11#13712yes—
254C23×C11C22×D411yescharacteristic
255C22×D11—21no—
256C22×D11—21no—
257C22×D11—21no—
258C22×D11—21no—
259C22×D11—21no—
260C22×D11—21no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—41no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11C2×D812yes—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—84no—
288C2×C4×C11—84no—
289C2×C4×C11#12312yes—
290C2×C4×C11C22×D411yescharacteristic
291C2×C4×C11C2×#4111yescharacteristic
292C2×C4×C11C2×#4111yescharacteristic
293C2×C4×C11C2×#4111yescharacteristic
294C2×C4×C11H(5,𝔽2)11yescharacteristic
295C2×C4×C112−1+411yescharacteristic
296C22⋊D11—28no—
297C22⋊D11—84no—
298C2×Dic11—21no—
299C2×Dic11—21no—
300C2×Dic11—21no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11C2×D812yes—
316D44—41no—
317D44—41no—
318D44—41no—
319D44—41no—
320D44—84no—
321C4×D11—41no—
322C4×D11—41no—
323C4×D11—41no—
324C4×D11—41no—
325C4×D11—84no—
326C8×C11—22no—
327C8×C11—22no—
328C11⋊C8—41no—
329C11⋊C8—41no—
330C23×C8C2×D1111yescharacteristic
331C2×#121—111no—
332C2×#121—111no—
333C2×#121—221no—
334C2×C4×D4—111no—
335C2×C4×D4—221no—
336C22×C4⋊C4—111no—
337C22×C4⋊C4C2×D1111yescharacteristic
338C22×C4⋊C4C2×D1111yescharacteristic
339#480—224no—
340C2×#107—24no—
341C2×#107—111no—
342C2×#107—111no—
343C2×#107C2×D1111yescharacteristic
344C2×#107C2×D1111yescharacteristic
345C2×#107C2×D1111yescharacteristic
346C2×#107C2×D1111yescharacteristic
347C2×#102—111no—
348C2×#102—111no—
349C2×#102—111no—
350C2×#102—111no—
351C2×C22⋊C8—111no—
352C2×C22⋊C8—111no—
353C2×C22⋊C8—111no—
354#396—221no—
355#394—221no—
356#390—111no—
357#389—111no—
358#389—221no—
359#386—221no—
360#385—221no—
361#385—221no—
362#384—111no—
363#380—111no—
364#380—111no—
365#380—111no—
366C4×C4⋊C4—111no—
367#340—111no—
368#340—111no—
369#340—111no—
370#340—111no—
371#340—111no—
372#340—111no—
373#336—111no—
374#336—111no—
375C22×C11—22no—
376C22×C11—22no—
377C22×C11—22no—
378C22×C11—22no—
379C22×C11—22no—
380C22×C11—22no—
381C22×C11#48014yescomplemented
382C22×C11C2×#12311yescharacteristic
383C22×C11D4211yescharacteristic
384C22×C11#54711yescharacteristic
385C22×C11C22×D811yescharacteristic
386C22×C11C2×#13711yescharacteristic
387C22×C11#57611yescharacteristic
388C22×C11#57811yescharacteristic
389C2×D11—22no—
390C2×D11—22no—
391C2×D11—22no—
392C2×D11—41no—
393C2×D11—41no—
394C2×D11—41no—
395C2×D11—41no—
396C2×D11—81no—
397C2×D11—81no—
398C2×D11—81no—
399C2×D11—81no—
400C2×D11—81no—
401C2×D11—81no—
402C2×D11—81no—
403C4×C11—22no—
404C4×C11—42no—
405C4×C11—42no—
406C4×C11—81no—
407C4×C11—81no—
408C4×C11#52511yescharacteristic
409C4×C11#53911yescharacteristic
410C4×C11#54811yescharacteristic
411C4×C11#55311yescharacteristic
412Dic11—22no—
413Dic11—41no—
414Dic11—41no—
415Dic11—81no—
416Dic11—81no—
417Dic11—81no—
418C22×D4—111no—
419C22×D4—111no—
420C22×D4—221no—
421C22×D4—221no—
422C23×C4—21no—
423C23×C4—21no—
424C23×C4—111no—
425C23×C4—221no—
426C23×C4C22×D1111yescharacteristic
427C22×C8—22no—
428C22×C8—22no—
429C22×C8—22no—
430C22×C8—111no—
431C22×C8—111no—
432C22×C8C22×D1111yescharacteristic
433C22×C8C22×D1111yescharacteristic
434#121—222no—
435#121—222no—
436#121—222no—
437#121—441no—
438#121—444no—
439C4×D4—222no—
440C4×D4—222no—
441C4×D4—444no—
442C2×C4⋊C4—22no—
443C2×C4⋊C4—22no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—41no—
447C2×C4⋊C4—41no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—111no—
452C2×C4⋊C4—222no—
453C2×C4⋊C4—221no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4—441no—
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C4⋊C4C22×D1111yescharacteristic
460C2×C4⋊C4C22×D1111yescharacteristic
461C2×C4⋊C4C22×D1111yescharacteristic
462C2×C22⋊C4—111no—
463C2×C22⋊C4—111no—
464C2×C22⋊C4—221no—
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×C42—111no—
472C2×C42—221no—
473#107—22no—
474#107—22no—
475#107—22no—
476#107—222no—
477#107—441no—
478#107C22⋊D1114yescomplemented
479#102—222no—
480#102—222no—
481#102—222no—
482#102—441no—
483C22⋊C8—222no—
484C22⋊C8—222no—
485C22⋊C8—222no—
486#95—221no—
487#95—221no—
488#95—221no—
489#95—221no—
490#95—221no—
491C2×C11—24no—
492C2×C11#244311yescharacteristic
493C2×C11C2×#48011yescharacteristic
494C2×C11#309811yescharacteristic
495C2×C11#327011yescharacteristic
496C2×C11D4×D811yescharacteristic
497C2×C11#333411yescharacteristic
498C2×C11#334611yescharacteristic
499D11—42no—
500D11—161no—
501C24—111no—
502C24—221no—
503C24D4×D1111yescharacteristic
504C2×D4—114no—
505C2×D4—222no—
506C2×D4—222no—
507C2×D4—221no—
508C2×D4—221no—
509C2×D4—221no—
510C2×D4—221no—
511C2×D4—221no—
512C2×D4—221no—
513C2×D4—442no—
514C2×D4—442no—
515C2×D4—442no—
516C2×D4—442no—
517C2×D4—442no—
518C2×D4—881no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—81no—
532C22×C4—81no—
533C22×C4—111no—
534C22×C4—111no—
535C22×C4—111no—
536C22×C4—221no—
537C22×C4—221no—
538C22×C4—221no—
539C22×C4—221no—
540C22×C4—221no—
541C22×C4—221no—
542C22×C4—221no—
543C22×C4—221no—
544C22×C4—221no—
545C22×C4—442no—
546C22×C4—442no—
547C22×C4—881no—
548C22×C4#433912yes—
549C22×C4D4×D1111yescharacteristic
550C22×C4#434312yes—
551C22×C4C23×D1111yescharacteristic
552C2×C8—28no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—221no—
558C2×C8—221no—
559C2×C8—221no—
560C2×C8—221no—
561C2×C8—221no—
562C2×C8—221no—
563C2×C8#433912yes—
564C2×C8C2×C22⋊D1112yes—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—222no—
574C4⋊C4—221no—
575C4⋊C4—221no—
576C4⋊C4—221no—
577C4⋊C4—221no—
578C4⋊C4—221no—
579C4⋊C4—221no—
580C4⋊C4—442no—
581C4⋊C4—442no—
582C4⋊C4—442no—
583C4⋊C4—881no—
584C4⋊C4C2×C22⋊D1112yes—
585C4⋊C4C2×C22⋊D1112yes—
586C22⋊C4—222no—
587C22⋊C4—222no—
588C22⋊C4—442no—
589C22⋊C4—442no—
590C22⋊C4—442no—
591C22⋊C4—442no—
592C22⋊C4—442no—
593C22⋊C4—442no—
594C22⋊C4—881no—
595C42—221no—
596C42—221no—
597C42—442no—
598C11#2612611yescharacteristic, complemented, Sylow
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—112no—
604C23—221no—
605C23—221no—
606C23—221no—
607C23—221no—
608C23—221no—
609C23—221no—
610C23—441no—
611C23—441no—
612C23—441no—
613C23—441no—
614C23—441no—
615C23—441no—
616C23—441no—
617C23#6694712yes—
618C23D8×D1112yes—
619C23#6697112yes—
620C23C2×D4×D1111yescharacteristic
621D4—228no—
622D4—441no—
623D4—441no—
624D4—441no—
625D4—441no—
626D4—884no—
627D4—884no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—84no—
647C2×C4—84no—
648C2×C4—112no—
649C2×C4—221no—
650C2×C4—221no—
651C2×C4—221no—
652C2×C4—221no—
653C2×C4—221no—
654C2×C4—221no—
655C2×C4—221no—
656C2×C4—221no—
657C2×C4—441no—
658C2×C4—441no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4—441no—
663C2×C4—441no—
664C2×C4—441no—
665C2×C4—441no—
666C2×C4—441no—
667C2×C4—441no—
668C2×C4—441no—
669C2×C4—441no—
670C2×C4—884no—
671C2×C4#6694712yes—
672C2×C4C2×#433911yescharacteristic
673C2×C4C2×#433911yescharacteristic
674C2×C4#6703711yescharacteristic
675C2×C4C2×#434311yescharacteristic
676C2×C4#6704011yescharacteristic
677C2×C4C22×C22⋊D1111yescharacteristic
678C8—22no—
679C8—22no—
680C8—441no—
681C8—441no—
682C22—22no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—222no—
689C22—222no—
690C22—222no—
691C22—441no—
692C22—441no—
693C22—441no—
694C22—441no—
695C22—881no—
696C22—881no—
697C22—881no—
698C22—881no—
699C22—881no—
700C22—881no—
701C22—881no—
702C22#1062249514yescomplemented
703C22C2×#6694711yescharacteristic
704C22#1062303811yescharacteristic
705C22C2×D8×D1111yescharacteristic
706C22#1062328811yescharacteristic
707C22C2×#6697111yescharacteristic
708C22#1062329711yescharacteristic
709C22D4×C22⋊D1111yescharacteristic
710C4—22no—
711C4—42no—
712C4—42no—
713C4—81no—
714C4—81no—
715C4—222no—
716C4—441no—
717C4—441no—
718C4—881no—
719C4—881no—
720C4—881no—
721C4#1062304511yescharacteristic
722C4#1062304611yescharacteristic
723C4#1062332211yescharacteristic
724C4#1062334811yescharacteristic
725C2—24no—
726C2—442no—
727C2—1761no—
728C2#1307235111yescharacteristic
729C2C2×#1062249511yescharacteristic
730C2#1307859911yescharacteristic
731C2#1308018611yescharacteristic
732C2D8×C22⋊D1111yescharacteristic
733C2#1308096111yescharacteristic
734C2#1308109711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC22×C11×#107C2
socleC23×C11C22×D4
prime radical#13072050C2
hypercenterC22×#107D11
hypocenterC11#26126
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#107

Complements

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

NH ≅ G/Ntype
1. C2×#10622495C2semidirect
3. C4⋊C4×C22⋊D11C2semidirect
4. #13070141C2semidirect
5. #13070090C2semidirect
6. #13070040C2semidirect
7. #13069800C2semidirect
8. #13069235C2semidirect
9. #13069189C2semidirect
10. #13069044C2semidirect
11. #13068933C2semidirect
12. #13068908C2semidirect
13. #13068804C2semidirect
14. #13068802C2semidirect
15. C22×C11×#107C2semidirect
119. C11×#107D4semidirect
233. C22×#107D11semidirect
381. C22×C11#480semidirect
478. #107C22⋊D11semidirect
598. C11#26126semidirect
702. C22#10622495semidirect

Maximal subgroups

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

subgroupindex
C2×#106224952
#130720502
C4⋊C4×C22⋊D112
#130701412
#130700902
#130700402
#130698002
#130692352
#130691892
#130690442
#130689332
#130689082
#130688042
#130688022
C22×C11×#1072
#2612611