Finite Group Databasebeta

← #14813329

Subgroups — #14813329

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×#10622581C211yesmaximal, characteristic, complemented
2C2×D11×#106C211yesmaximal, characteristic, complemented
3#13072058C211yesmaximal, characteristic
4C4⋊C4×C22⋊D11C211yesmaximal, characteristic, complemented
5#13070146C211yesmaximal, characteristic, complemented
6#13070096C211yesmaximal, characteristic, complemented
7#13070052C211yesmaximal, characteristic, complemented
8#13069806C211yesmaximal, characteristic, complemented
9#13069242C211yesmaximal, characteristic, complemented
10#13069192C211yesmaximal, characteristic, complemented
11#13069043C211yesmaximal, characteristic, complemented
12#13068932C211yesmaximal, characteristic, complemented
13#13068905C211yesmaximal, characteristic, complemented
14#13068807C211yesmaximal, characteristic, complemented
15C11×#1853C211yesmaximal, characteristic, complemented
16C22×C11×C4⋊C4C2211yescharacteristic
17C2×#66983C2211yescharacteristic
18C2×C4×C22⋊D11—21no—
19C2×C4×C22⋊D11C2211yescharacteristic
20C22×C8×D11C2211yescharacteristic
21C2×#66948C2211yescharacteristic
22C2×C4⋊C4×D11C2211yescharacteristic
23C2×C4⋊C4×D11C2211yescharacteristic
24C2×#66937—21no—
25C2×C11×#106C2211yescharacteristic
26C2×C11×#106C2211yescharacteristic
27C2×C11×C22⋊C8C2211yescharacteristic
28C11×#380C2211yescharacteristic
29#10622825C2211yescharacteristic
30#10622823—21no—
31C2×C22⋊(C11⋊C8)C2211yescharacteristic
32C2×#66885C2211yescharacteristic
33C2×#66885C2211yescharacteristic
34C2×(C2×D11)⋊C8C2211yescharacteristic
35C2×#66881C2211yescharacteristic
36#10622602—21no—
37#10622601C2211yescharacteristic
38#10622600C2211yescharacteristic
39#10622589C2211yescharacteristic
40C4⋊C4×Dic11C2211yescharacteristic
41#10622586C2211yescharacteristic
42#10622585—21no—
43#10622581—24no—
44C2×#66873C2211yescharacteristic
45C2×#66873C2211yescharacteristic
46C2×#66872C2211yescharacteristic
47C2×#66872C2211yescharacteristic
48C2×#66872C2211yescharacteristic
49#10622572—21no—
50D11×#106—24no—
51#10622289—21no—
52#10622278—21no—
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55#10622189C2211yescharacteristic
56#10622188C2211yescharacteristic
57#10622188C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61C23×C4×C11—21no—
62C23×C4×C11C2311yescharacteristic
63C22×C22⋊D11—21no—
64C22×C22⋊D11D411yescharacteristic
65C22×D44—21no—
66C22×D44C2311yescharacteristic
67C22×C4×D11—21no—
68C22×C4×D11—21no—
69C22×C4×D11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C2×C11×C4⋊C4—22no—
73C2×C11×C4⋊C4—21no—
74C2×C11×C4⋊C4—41no—
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C22⋊C4—21no—
80C2×C22⋊Dic11—21no—
81C2×C22⋊Dic11D411yescharacteristic
82#66983—22no—
83#66983—41no—
84C4×C22⋊D11—22no—
85C4×C22⋊D11—22no—
86C4×C22⋊D11—44no—
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)⋊C4D411yescharacteristic
93C2×C4⋊Dic11C2311yescharacteristic
94C2×C4⋊Dic11C2311yescharacteristic
95C2×C4⋊Dic11C2311yescharacteristic
96C2×Dic11⋊C4—21no—
97C2×Dic11⋊C4—21no—
98C2×Dic11⋊C4—21no—
99C2×Dic11⋊C4—21no—
100C2×Dic11⋊C4—21no—
101C2×Dic11⋊C4D411yescharacteristic
102C2×C4×Dic11—21no—
103C2×C4×Dic11C2311yescharacteristic
104C22×C11⋊C8C2311yescharacteristic
105C22×C11⋊C8C2311yescharacteristic
106C2×C8×D11—22no—
107C2×C8×D11—22no—
108C2×C8×D11—22no—
109#66948—22no—
110#66948—22no—
111C4⋊C4×D11—22no—
112C4⋊C4×D11—22no—
113C4⋊C4×D11—41no—
114C4⋊C4×D11—41no—
115#66937—44no—
116C11×#106—22no—
117C11×#106—41no—
118C11×C22⋊C8—22no—
119C11×#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C22⋊(C11⋊C8)—22no—
125#66885—22no—
126#66885—41no—
127(C2×D11)⋊C8—22no—
128#66881—22no—
129#66873—22no—
130#66873—22no—
131#66872—22no—
132#66872—22no—
133#66872D414yescomplemented
134#26130—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—21no—
147C22×C4×C11—21no—
148C22×C4×C11—42no—
149C22×C4×C11—42no—
150C22×C4×C11—81no—
151C22×C4×C11C2×D411yescharacteristic
152C22×C4×C11C2411yescharacteristic
153C2×C22⋊D11—22no—
154C2×C22⋊D11—22no—
155C2×C22⋊D11—42no—
156C2×C22⋊D11—42no—
157C2×C22⋊D11—81no—
158C2×C22⋊D11SD1614yes—
159C22×Dic11—21no—
160C22×Dic11—21no—
161C22×Dic11—21no—
162C22×Dic11C2×D411yescharacteristic
163C22×Dic11C2×D411yescharacteristic
164C22×Dic11C2×D411yescharacteristic
165C2×D44—21no—
166C2×D44—21no—
167C2×D44—21no—
168C2×D44—21no—
169C2×D44—21no—
170C2×D44—21no—
171C2×D44—42no—
172C2×D44—42no—
173C2×D44—42no—
174C2×C4×D11—21no—
175C2×C4×D11—21no—
176C2×C4×D11—21no—
177C2×C4×D11—21no—
178C2×C4×D11—42no—
179C2×C4×D11—42no—
180C2×C4×D11—42no—
181C2×C4×D11—42no—
182C2×C4×D11—81no—
183C2×C4×D11—81no—
184C2×C4×D11#4112yes—
185C2×C4×D11#4112yes—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11#4112yes—
192C11×C4⋊C4—21no—
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⋊C4C2×D412yes—
201C11×C22⋊C4—42no—
202C22⋊Dic11—22no—
203C22⋊Dic11—42no—
204(C2×D11)⋊C4—22no—
205(C2×D11)⋊C4—42no—
206(C2×D11)⋊C4—42no—
207(C2×D11)⋊C4—42no—
208(C2×D11)⋊C4—42no—
209(C2×D11)⋊C4—81no—
210C4⋊Dic11—21no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11C2×D412yes—
216Dic11⋊C4—22no—
217Dic11⋊C4—42no—
218Dic11⋊C4—42no—
219Dic11⋊C4—42no—
220Dic11⋊C4—42no—
221Dic11⋊C4—81no—
222C4×Dic11—21no—
223C4×Dic11—21no—
224C4×Dic11—42no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8C2×D412yes—
231C8×D11—28no—
232C2×#481—111no—
233C22×#106—111no—
234#2416—111no—
235D4×C4⋊C4—111no—
236#2094—111no—
237#2084—111no—
238#2077—111no—
239#2034—111no—
240#1926—111no—
241#1919—111no—
242#1893—111no—
243#1874—111no—
244#1869—111no—
245#1853—111no—
246#1853D1111yescharacteristic, complemented
247C23×C11—21no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11C2×SD1612yes—
254C23×C11C22×D411yescharacteristic
255C22×D11—21no—
256C22×D11—21no—
257C22×D11—21no—
258C22×D11—21no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—41no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11#12312yes—
267C22×D11C2×SD1612yes—
268C22×D11AGL(1,ℤ/8)12yes—
269C2×C4×C11—21no—
270C2×C4×C11—22no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
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—41no—
288C2×C4×C11—84no—
289C2×C4×C11C22×D411yescharacteristic
290C2×C4×C11C2×#4111yescharacteristic
291C2×C4×C11C2×#4111yescharacteristic
292C2×C4×C11C2×#4111yescharacteristic
293C2×C4×C11H(5,𝔽2)11yescharacteristic
294C2×C4×C112−1+411yescharacteristic
295C22⋊D11—28no—
296C22⋊D11—84no—
297C2×Dic11—21no—
298C2×Dic11—21no—
299C2×Dic11—21no—
300C2×Dic11—21no—
301C2×Dic11—21no—
302C2×Dic11—22no—
303C2×Dic11—21no—
304C2×Dic11—21no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11#12312yes—
314C2×Dic11C2×SD1612yes—
315D44—41no—
316D44—41no—
317D44—41no—
318D44—41no—
319D44—84no—
320C4×D11—22no—
321C4×D11—22no—
322C4×D11—22no—
323C4×D11—22no—
324C4×D11—84no—
325C4×D11—84no—
326C8×C11—22no—
327C8×C11—41no—
328C11⋊C8—22no—
329C11⋊C8—41no—
330C23×C8—111no—
331C2×#121—111no—
332C2×#121—111no—
333C2×#121—221no—
334C2×C4×D4—111no—
335C2×C4×D4—221no—
336C22×C4⋊C4—111no—
337C22×C4⋊C4—111no—
338C22×C4⋊C4C2×D1111yescharacteristic
339#481—224no—
340C2×#106—111no—
341C2×#106—111no—
342C2×#106—111no—
343C2×#106—111no—
344C2×#106—224no—
345C2×#106C2×D1111yescharacteristic
346C2×#106C2×D1111yescharacteristic
347C2×#102—111no—
348C2×#102—111no—
349C2×#102—111no—
350C2×#102—111no—
351C2×C22⋊C8—111no—
352C2×C22⋊C8—111no—
353C2×C22⋊C8C2×D1111yescharacteristic
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#380C2×D1111yescharacteristic
366C4×C4⋊C4—111no—
367#340—111no—
368#340—111no—
369#340—111no—
370#340—111no—
371#340C2×D1111yescharacteristic
372#340C2×D1111yescharacteristic
373#336—111no—
374#336—111no—
375C22×C11—22no—
376C22×C11—22no—
377C22×C11—22no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11—41no—
381C22×C11—41no—
382C22×C11C2×#12311yescharacteristic
383C22×C11D4211yescharacteristic
384C22×C11#54711yescharacteristic
385C22×C11C22×SD1611yescharacteristic
386C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
387C22×C11#57711yescharacteristic
388C22×C11#57711yescharacteristic
389C2×D11—22no—
390C2×D11—22no—
391C2×D11—22no—
392C2×D11—22no—
393C2×D11—22no—
394C2×D11—22no—
395C2×D11—81no—
396C2×D11—81no—
397C2×D11—81no—
398C2×D11—81no—
399C2×D11—81no—
400C2×D11—81no—
401C2×D11—81no—
402C2×D11#48114yescomplemented
403C4×C11—41no—
404C4×C11—42no—
405C4×C11—81no—
406C4×C11—81no—
407C4×C11—81no—
408C4×C11#52511yescharacteristic
409C4×C11#53911yescharacteristic
410C4×C11#54811yescharacteristic
411C4×C11#55311yescharacteristic
412Dic11—22no—
413Dic11—22no—
414Dic11—41no—
415Dic11—42no—
416Dic11—81no—
417Dic11—81no—
418C22×D4—111no—
419C22×D4—111no—
420C22×D4—221no—
421C22×D4—221no—
422C23×C4—21no—
423C23×C4—111no—
424C23×C4—221no—
425C23×C4—221no—
426C23×C4C22×D1111yescharacteristic
427C22×C8—111no—
428C22×C8—111no—
429C22×C8—222no—
430C22×C8—222no—
431C22×C8—222no—
432C22×C8C22×D1111yescharacteristic
433C22×C8C22×D1111yescharacteristic
434#121—222no—
435#121—222no—
436#121—222no—
437#121—444no—
438#121—441no—
439C4×D4—222no—
440C4×D4—222no—
441C4×D4—444no—
442C2×C4⋊C4—22no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—41no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—222no—
450C2×C4⋊C4—222no—
451C2×C4⋊C4—221no—
452C2×C4⋊C4—221no—
453C2×C4⋊C4—221no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4—441no—
457C2×C4⋊C4—441no—
458C2×C4⋊C4C22×D1111yescharacteristic
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×C42—111no—
472C2×C42—221no—
473#106—22no—
474#106—41no—
475#106—114no—
476#106—222no—
477#106—222no—
478#106—222no—
479#102—222no—
480#102—222no—
481#102—222no—
482#102—441no—
483C22⋊C8—22no—
484C22⋊C8—222no—
485C22⋊C8—222no—
486#95—21no—
487#95—221no—
488#95—221no—
489#95—221no—
490#95—221no—
491C2×C11—42no—
492C2×C11#244311yescharacteristic
493C2×C11C2×#48111yescharacteristic
494C2×C11#309911yescharacteristic
495C2×C11#326511yescharacteristic
496C2×C11D4×SD1611yescharacteristic
497C2×C11#333511yescharacteristic
498C2×C11#334511yescharacteristic
499D11—24no—
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—21no—
528C22×C4—21no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—81no—
532C22×C4—111no—
533C22×C4—111no—
534C22×C4—112no—
535C22×C4—112no—
536C22×C4—111no—
537C22×C4—221no—
538C22×C4—221no—
539C22×C4—221no—
540C22×C4—221no—
541C22×C4—221no—
542C22×C4—221no—
543C22×C4—221no—
544C22×C4—442no—
545C22×C4—442no—
546C22×C4—442no—
547C22×C4—442no—
548C22×C4—881no—
549C22×C4—881no—
550C22×C4D4×D1111yescharacteristic
551C22×C4C23×D1111yescharacteristic
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—112no—
558C2×C8—228no—
559C2×C8—221no—
560C2×C8—221no—
561C2×C8—221no—
562C2×C8—221no—
563C2×C8—221no—
564C2×C8#433912yes—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—42no—
573C4⋊C4—112no—
574C4⋊C4—222no—
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—442no—
584C4⋊C4—881no—
585C4⋊C4D4×D1112yes—
586C22⋊C4—42no—
587C22⋊C4—222no—
588C22⋊C4—222no—
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#2613011yescharacteristic, complemented, Sylow
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—112no—
606C23—112no—
607C23—112no—
608C23—221no—
609C23—221no—
610C23—221no—
611C23—221no—
612C23—441no—
613C23—441no—
614C23—441no—
615C23—441no—
616C23—441no—
617C23—441no—
618C23—441no—
619C23SD16×D1112yes—
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—21no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
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—41no—
647C2×C4—84no—
648C2×C4—112no—
649C2×C4—112no—
650C2×C4—221no—
651C2×C4—221no—
652C2×C4—221no—
653C2×C4—221no—
654C2×C4—222no—
655C2×C4—222no—
656C2×C4—222no—
657C2×C4—222no—
658C2×C4—221no—
659C2×C4—221no—
660C2×C4—222no—
661C2×C4—221no—
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—884no—
672C2×C4C2×#433911yescharacteristic
673C2×C4C2×D4×D1111yescharacteristic
674C2×C4#6703711yescharacteristic
675C2×C4#6704011yescharacteristic
676C2×C4#41×D1111yescharacteristic
677C2×C4#41×D1111yescharacteristic
678C8—22no—
679C8—41no—
680C8—222no—
681C8—441no—
682C22—22no—
683C22—22no—
684C22—22no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—114no—
690C22—222no—
691C22—222no—
692C22—222no—
693C22—222no—
694C22—222no—
695C22—222no—
696C22—881no—
697C22—881no—
698C22—881no—
699C22—881no—
700C22—881no—
701C22—881no—
702C22—881no—
703C22#1062303811yescharacteristic
704C22#1062312111yescharacteristic
705C22D11×#12311yescharacteristic
706C22C2×SD16×D1111yescharacteristic
707C22#1062329311yescharacteristic
708C22D11×AGL(1,ℤ/8)11yescharacteristic
709C22#1062330911yescharacteristic
710C4—42no—
711C4—41no—
712C4—81no—
713C4—81no—
714C4—81no—
715C4—222no—
716C4—222no—
717C4—441no—
718C4—442no—
719C4—881no—
720C4—881no—
721C4#1062307811yescharacteristic
722C4#1062308911yescharacteristic
723C4#1062316411yescharacteristic
724C4#1062316911yescharacteristic
725C2—42no—
726C2—224no—
727C2—1761no—
728C2#1307235011yescharacteristic
729C2D11×#48111yescharacteristic
730C2#1307860011yescharacteristic
731C2#1308010911yescharacteristic
732C2#1308030511yescharacteristic
733C2#1308096911yescharacteristic
734C2#1308108711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#1853C2
socleC23×C11C22×D4
prime radical#13072058C2
hypercenter#1853D11
hypocenterC11#26130
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1853

Complements

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

NH ≅ G/Ntype
1. C2×#10622581C2semidirect
2. C2×D11×#106C2semidirect
4. C4⋊C4×C22⋊D11C2semidirect
5. #13070146C2semidirect
6. #13070096C2semidirect
7. #13070052C2semidirect
8. #13069806C2semidirect
9. #13069242C2semidirect
10. #13069192C2semidirect
11. #13069043C2semidirect
12. #13068932C2semidirect
13. #13068905C2semidirect
14. #13068807C2semidirect
15. C11×#1853C2semidirect
133. #66872D4semidirect
246. #1853D11semidirect
402. C2×D11#481semidirect
598. C11#26130semidirect

Maximal subgroups

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

subgroupindex
C2×#106225812
C2×D11×#1062
#130720582
C4⋊C4×C22⋊D112
#130701462
#130700962
#130700522
#130698062
#130692422
#130691922
#130690432
#130689322
#130689052
#130688072
C11×#18532
#2613011