Finite Group Databasebeta

← #14779916

Subgroups — #14779916

Order 2816.

706 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13069411C211yesmaximal, characteristic
2#13069340C211yesmaximal, characteristic, complemented
3#13069335C211yesmaximal, characteristic, complemented
4#13069231C211yesmaximal, characteristic, complemented
5#13069231C211yesmaximal, characteristic, complemented
6#13069224C211yesmaximal, characteristic, complemented
7#13069224C211yesmaximal, characteristic, complemented
8#13069175C211yesmaximal, characteristic, complemented
9#13069175C211yesmaximal, characteristic, complemented
10#13068909C211yesmaximal, characteristic
11#13068796C211yesmaximal, characteristic, complemented
12#13068796C211yesmaximal, characteristic, complemented
13#13068600C211yesmaximal, characteristic, complemented
14#13068600C211yesmaximal, characteristic, complemented
15C11×#2395C211yesmaximal, characteristic
16C2×C4×D4×C11C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C23×C11⋊C8C2211yescharacteristic
19C11×#400C411yescharacteristic
20C11×#399C411yescharacteristic
21C11×#398C411yescharacteristic
22C11×#397C411yescharacteristic
23C11×#397C411yescharacteristic
24C11×#397C411yescharacteristic
25C11×#394C411yescharacteristic
26C11×#394C411yescharacteristic
27C4×C11×C4⋊C4C2211yescharacteristic
28C4×C11×C4⋊C4C2211yescharacteristic
29C4×C11×C22⋊C4C2211yescharacteristic
30C4×C11×C22⋊C4C2211yescharacteristic
31C4×C11×C22⋊C4C2211yescharacteristic
32C2×C22⋊(C11⋊C8)C2211yescharacteristic
33C2×C22⋊(C11⋊C8)C2211yescharacteristic
34C2×C22⋊(C11⋊C8)C2211yescharacteristic
35C2×C22⋊(C11⋊C8)C2211yescharacteristic
36C2×C22⋊(C11⋊C8)C2211yescharacteristic
37C2×C22⋊(C11⋊C8)C2211yescharacteristic
38C2×C22⋊(C11⋊C8)C2211yescharacteristic
39C2×C4⋊(C11⋊C8)C2211yescharacteristic
40C2×C4⋊(C11⋊C8)C2211yescharacteristic
41C2×C4⋊(C11⋊C8)C2211yescharacteristic
42C2×C4⋊(C11⋊C8)C2211yescharacteristic
43C2×C4⋊(C11⋊C8)C2211yescharacteristic
44C2×C4⋊(C11⋊C8)C2211yescharacteristic
45C2×C4⋊(C11⋊C8)C2211yescharacteristic
46C2×#66867C2211yescharacteristic
47C2×C4×C11⋊C8C2211yescharacteristic
48C2×C4×C11⋊C8C2211yescharacteristic
49#10622162C2211yescharacteristic
50#10622162C2211yescharacteristic
51#10622162C2211yescharacteristic
52#10622162C2211yescharacteristic
53#10622162C2211yescharacteristic
54#10622162C2211yescharacteristic
55#10622162C2211yescharacteristic
56#10622162C2211yescharacteristic
57#10622162C2211yescharacteristic
58#10622162C2211yescharacteristic
59C22×D4×C11C2×C411yescharacteristic
60C23×C4×C11C2311yescharacteristic
61C23×C4×C11C2311yescharacteristic
62C4×D4×C11—41no—
63C4×D4×C11—41no—
64C11×#117—41no—
65C11×#117—41no—
66C2×C11×C4⋊C4C2×C411yescharacteristic
67C2×C11×C4⋊C4C2×C411yescharacteristic
68C2×C11×C4⋊C4C2×C411yescharacteristic
69C2×C11×C4⋊C4C2×C411yescharacteristic
70C2×C11×C4⋊C4C2×C411yescharacteristic
71C2×C11×C4⋊C4C2×C411yescharacteristic
72C2×C11×C4⋊C4C2×C411yescharacteristic
73C2×C11×C22⋊C4C2×C411yescharacteristic
74C2×C11×C22⋊C4C2×C411yescharacteristic
75C2×C11×C22⋊C4C2×C411yescharacteristic
76C2×C11×C22⋊C4C2×C411yescharacteristic
77C2×C11×C22⋊C4C2×C411yescharacteristic
78C2×C11×C22⋊C4C2×C411yescharacteristic
79C2×C11×C22⋊C4C2×C411yescharacteristic
80C2×C11×C22⋊C4C2×C411yescharacteristic
81C2×C11×C22⋊C4C2×C411yescharacteristic
82C2×C11×C22⋊C4C2×C411yescharacteristic
83C2×C42×C11C2311yescharacteristic
84C2×C42×C11C2311yescharacteristic
85C2×C42×C11C2311yescharacteristic
86C2×C42×C11C2311yescharacteristic
87C2×C42×C11C2311yescharacteristic
88C22×C11⋊C8—41no—
89C22×C11⋊C8—41no—
90C22×C11⋊C8—41no—
91C22×C11⋊C8C2311yescharacteristic
92C22×C11⋊C8C2311yescharacteristic
93C22×C11⋊C8C2311yescharacteristic
94C22×C11⋊C8C2311yescharacteristic
95C22×C11⋊C8C2311yescharacteristic
96C22×C11⋊C8C2311yescharacteristic
97C22×C11⋊C8C2311yescharacteristic
98C22×C11⋊C8C2311yescharacteristic
99C11×#95C2×C411yescharacteristic
100C11×#95C2×C411yescharacteristic
101C11×#95C2×C411yescharacteristic
102C11×#95C2×C411yescharacteristic
103C11×#95C2×C411yescharacteristic
104C11×#95C2×C411yescharacteristic
105C11×#95C2×C411yescharacteristic
106C11×#95C2×C411yescharacteristic
107C11×#95C2×C411yescharacteristic
108C11×#95C2×C411yescharacteristic
109C22⋊(C11⋊C8)—41no—
110C22⋊(C11⋊C8)—41no—
111C22⋊(C11⋊C8)—41no—
112C22⋊(C11⋊C8)—41no—
113C22⋊(C11⋊C8)—41no—
114C22⋊(C11⋊C8)—41no—
115C22⋊(C11⋊C8)—41no—
116C4⋊(C11⋊C8)—41no—
117C4⋊(C11⋊C8)—41no—
118C4⋊(C11⋊C8)—41no—
119C4⋊(C11⋊C8)—41no—
120C4⋊(C11⋊C8)—41no—
121C4⋊(C11⋊C8)—41no—
122C4⋊(C11⋊C8)—41no—
123#66867—41no—
124C4×C11⋊C8—41no—
125C4×C11⋊C8—41no—
126#23319—111nomaximal, Sylow
127C24×C11C22×C411yescharacteristic
128C24×C11C22×C411yescharacteristic
129C2×D4×C11—22no—
130C2×D4×C11—22no—
131C2×D4×C11—41no—
132C22×C4×C11—21no—
133C22×C4×C11—21no—
134C22×C4×C11—21no—
135C22×C4×C11—21no—
136C22×C4×C11—21no—
137C22×C4×C11—21no—
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×C11C22×C411yescharacteristic
145C22×C4×C11C22×C411yescharacteristic
146C22×C4×C11C22×C411yescharacteristic
147C22×C4×C11C22×C411yescharacteristic
148C22×C4×C11C22×C411yescharacteristic
149C22×C4×C11C22×C411yescharacteristic
150C22×C4×C11C22×C411yescharacteristic
151C22×C4×C11C22×C411yescharacteristic
152C22×C4×C11C22×C411yescharacteristic
153C22×C4×C11C22×C411yescharacteristic
154C22×C4×C11C22×C411yescharacteristic
155C22×C4×C11C22×C411yescharacteristic
156C22×C4×C11C2411yescharacteristic
157C11×C4⋊C4—22no—
158C11×C4⋊C4—22no—
159C11×C4⋊C4—22no—
160C11×C4⋊C4—41no—
161C11×C4⋊C4—41no—
162C11×C4⋊C4—41no—
163C11×C4⋊C4—41no—
164C11×C22⋊C4—22no—
165C11×C22⋊C4—22no—
166C11×C22⋊C4—22no—
167C11×C22⋊C4—22no—
168C11×C22⋊C4—41no—
169C11×C22⋊C4—41no—
170C11×C22⋊C4—41no—
171C11×C22⋊C4—41no—
172C11×C22⋊C4—41no—
173C11×C22⋊C4—41no—
174C42×C11—21no—
175C42×C11—21no—
176C42×C11—21no—
177C42×C11—21no—
178C42×C11—21no—
179C42×C11—21no—
180C42×C11—21no—
181C42×C11—21no—
182C42×C11—21no—
183C42×C11—21no—
184C2×C11⋊C8—21no—
185C2×C11⋊C8—21no—
186C2×C11⋊C8—21no—
187C2×C11⋊C8—21no—
188C2×C11⋊C8—21no—
189C2×C11⋊C8—21no—
190C2×C11⋊C8—21no—
191C2×C11⋊C8—21no—
192C2×C11⋊C8—21no—
193C2×C11⋊C8—21no—
194C2×C11⋊C8—21no—
195C2×C11⋊C8—21no—
196C2×C11⋊C8—21no—
197C2×C11⋊C8—21no—
198C2×C11⋊C8—21no—
199C2×C11⋊C8—21no—
200C2×C11⋊C8—21no—
201C2×C11⋊C8—21no—
202C2×C11⋊C8—21no—
203C2×C11⋊C8—21no—
204C2×C11⋊C8—21no—
205C2×C11⋊C8—21no—
206C2×C11⋊C8—21no—
207C2×C11⋊C8—21no—
208C2×C11⋊C8—44no—
209#2395D1111yescharacteristic
210#1954—111no—
211#1940—111no—
212#1939—111no—
213#1924—111no—
214#1924—111no—
215#1923—111no—
216#1923—111no—
217#1916—111no—
218#1916—111no—
219#1869—111no—
220#1850—111no—
221#1850—111no—
222#1798—111no—
223#1798—111no—
224C23×C11—21no—
225C23×C11—21no—
226C23×C11—21no—
227C23×C11—21no—
228C23×C11—21no—
229C23×C11—21no—
230C23×C11—21no—
231C23×C11—21no—
232C23×C11—21no—
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11—21no—
237C23×C11#13112yes—
238C23×C11C23×C411yescharacteristic
239D4×C11—44no—
240C2×C4×C11—21no—
241C2×C4×C11—21no—
242C2×C4×C11—21no—
243C2×C4×C11—21no—
244C2×C4×C11—21no—
245C2×C4×C11—21no—
246C2×C4×C11—21no—
247C2×C4×C11—21no—
248C2×C4×C11—21no—
249C2×C4×C11—21no—
250C2×C4×C11—21no—
251C2×C4×C11—21no—
252C2×C4×C11—21no—
253C2×C4×C11—21no—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
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#13112yes—
283C2×C4×C11#13112yes—
284C2×C4×C11H(5,𝔽2)11yescharacteristic
285C2×C4×C11H(5,𝔽2)11yescharacteristic
286C2×C4×C11H(5,𝔽2)11yescharacteristic
287C2×C4×C11H(5,𝔽2)11yescharacteristic
288C2×C4×C112−1+411yescharacteristic
289C2×C4×C112−1+411yescharacteristic
290C11⋊C8—41no—
291C11⋊C8—41no—
292C11⋊C8—41no—
293C11⋊C8—41no—
294C11⋊C8—41no—
295C11⋊C8—41no—
296C11⋊C8—41no—
297C11⋊C8—41no—
298C23×C8—111no—
299C2×C4×D4C2×D1111yescharacteristic
300C2×#117C2×D1111yescharacteristic
301C2×C4⋊C8—111no—
302C2×C4⋊C8—111no—
303C2×C4⋊C8—111no—
304C2×C4⋊C8—111no—
305C2×C4⋊C8—111no—
306C2×C4⋊C8—111no—
307C2×C4⋊C8—111no—
308C2×C22⋊C8—111no—
309C2×C22⋊C8—111no—
310C2×C22⋊C8—111no—
311C2×C22⋊C8—111no—
312C2×C22⋊C8—111no—
313C2×C22⋊C8—111no—
314C2×C22⋊C8—111no—
315C2×#97—111no—
316C2×C4×C8—111no—
317C2×C4×C8—111no—
318#400Dic1111yescharacteristic
319#399Dic1111yescharacteristic
320#398Dic1111yescharacteristic
321#397Dic1111yescharacteristic
322#397Dic1111yescharacteristic
323#397Dic1111yescharacteristic
324#394Dic1111yescharacteristic
325#394Dic1111yescharacteristic
326C4×C4⋊C4C2×D1111yescharacteristic
327C4×C4⋊C4C2×D1111yescharacteristic
328C4×C22⋊C4C2×D1111yescharacteristic
329C4×C22⋊C4C2×D1111yescharacteristic
330C4×C22⋊C4C2×D1111yescharacteristic
331#336—111no—
332#336—111no—
333#336—111no—
334#336—111no—
335#336—111no—
336#336—111no—
337#336—111no—
338#336—111no—
339#336—111no—
340#336—111no—
341C22×C11—22no—
342C22×C11—22no—
343C22×C11—22no—
344C22×C11—41no—
345C22×C11—41no—
346C22×C11—41no—
347C22×C11—41no—
348C22×C11—41no—
349C22×C11—41no—
350C22×C11—41no—
351C22×C11—41no—
352C22×C11—41no—
353C22×C11—41no—
354C22×C11—41no—
355C22×C11#51811yescharacteristic
356C22×C11#52011yescharacteristic
357C22×C11#52011yescharacteristic
358C22×C11C2×#13111yescharacteristic
359C22×C11C2×#13111yescharacteristic
360C22×C11C2×#13111yescharacteristic
361C22×C11#56811yescharacteristic
362C4×C11—22no—
363C4×C11—22no—
364C4×C11—41no—
365C4×C11—41no—
366C4×C11—41no—
367C4×C11—41no—
368C4×C11—41no—
369C4×C11—41no—
370C4×C11—41no—
371C4×C11—41no—
372C4×C11—41no—
373C4×C11—41no—
374C4×C11#56011yescharacteristic
375C4×C11#56211yescharacteristic
376C4×C11#56211yescharacteristic
377C4×C11#56311yescharacteristic
378C22×D4C2×Dic1111yescharacteristic
379C23×C4C22×D1111yescharacteristic
380C23×C4C22×D1111yescharacteristic
381C22×C8—111no—
382C22×C8—111no—
383C22×C8—111no—
384C22×C8—111no—
385C22×C8—111no—
386C22×C8—111no—
387C22×C8—111no—
388C22×C8—111no—
389C22×C8—441no—
390C22×C8—441no—
391C22×C8—441no—
392C4×D4—41no—
393C4×D4—41no—
394#117—41no—
395#117—41no—
396C2×C4⋊C4C2×Dic1111yescharacteristic
397C2×C4⋊C4C2×Dic1111yescharacteristic
398C2×C4⋊C4C2×Dic1111yescharacteristic
399C2×C4⋊C4C2×Dic1111yescharacteristic
400C2×C4⋊C4C2×Dic1111yescharacteristic
401C2×C4⋊C4C2×Dic1111yescharacteristic
402C2×C4⋊C4C2×Dic1111yescharacteristic
403C2×C22⋊C4C2×Dic1111yescharacteristic
404C2×C22⋊C4C2×Dic1111yescharacteristic
405C2×C22⋊C4C2×Dic1111yescharacteristic
406C2×C22⋊C4C2×Dic1111yescharacteristic
407C2×C22⋊C4C2×Dic1111yescharacteristic
408C2×C22⋊C4C2×Dic1111yescharacteristic
409C2×C22⋊C4C2×Dic1111yescharacteristic
410C2×C22⋊C4C2×Dic1111yescharacteristic
411C2×C22⋊C4C2×Dic1111yescharacteristic
412C2×C22⋊C4C2×Dic1111yescharacteristic
413C2×C42C22×D1111yescharacteristic
414C2×C42C22×D1111yescharacteristic
415C2×C42C22×D1111yescharacteristic
416C2×C42C22×D1111yescharacteristic
417C2×C42C22×D1111yescharacteristic
418C4⋊C8—441no—
419C4⋊C8—441no—
420C4⋊C8—441no—
421C4⋊C8—441no—
422C4⋊C8—441no—
423C4⋊C8—441no—
424C4⋊C8—441no—
425C22⋊C8—441no—
426C22⋊C8—441no—
427C22⋊C8—441no—
428C22⋊C8—441no—
429C22⋊C8—441no—
430C22⋊C8—441no—
431C22⋊C8—441no—
432#97—441no—
433C4×C8—441no—
434C4×C8—441no—
435#95C2×Dic1111yescharacteristic
436#95C2×Dic1111yescharacteristic
437#95C2×Dic1111yescharacteristic
438#95C2×Dic1111yescharacteristic
439#95C2×Dic1111yescharacteristic
440#95C2×Dic1111yescharacteristic
441#95C2×Dic1111yescharacteristic
442#95C2×Dic1111yescharacteristic
443#95C2×Dic1111yescharacteristic
444#95C2×Dic1111yescharacteristic
445C2×C11—42no—
446C2×C11—81no—
447C2×C11#237611yescharacteristic
448C2×C11#297711yescharacteristic
449C2×C11#298111yescharacteristic
450C2×C11#299211yescharacteristic
451C2×C11#299311yescharacteristic
452C2×C11#299411yescharacteristic
453C2×C11#299411yescharacteristic
454C24C22×Dic1111yescharacteristic
455C24C22×Dic1111yescharacteristic
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—41no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4C22×Dic1111yescharacteristic
472C22×C4C22×Dic1111yescharacteristic
473C22×C4C22×Dic1111yescharacteristic
474C22×C4C22×Dic1111yescharacteristic
475C22×C4C22×Dic1111yescharacteristic
476C22×C4C22×Dic1111yescharacteristic
477C22×C4C22×Dic1111yescharacteristic
478C22×C4C22×Dic1111yescharacteristic
479C22×C4C22×Dic1111yescharacteristic
480C22×C4C22×Dic1111yescharacteristic
481C22×C4C22×Dic1111yescharacteristic
482C22×C4C22×Dic1111yescharacteristic
483C22×C4C23×D1111yescharacteristic
484C2×C8—221no—
485C2×C8—221no—
486C2×C8—221no—
487C2×C8—221no—
488C2×C8—221no—
489C2×C8—221no—
490C2×C8—221no—
491C2×C8—221no—
492C2×C8—221no—
493C2×C8—221no—
494C2×C8—221no—
495C2×C8—221no—
496C2×C8—221no—
497C2×C8—221no—
498C2×C8—221no—
499C2×C8—221no—
500C2×C8—221no—
501C2×C8—221no—
502C2×C8—221no—
503C2×C8—221no—
504C2×C8—221no—
505C2×C8—221no—
506C2×C8—221no—
507C2×C8—221no—
508C2×C8—444no—
509C4⋊C4—22no—
510C4⋊C4—22no—
511C4⋊C4—22no—
512C4⋊C4—41no—
513C4⋊C4—41no—
514C4⋊C4—41no—
515C4⋊C4—41no—
516C22⋊C4—22no—
517C22⋊C4—22no—
518C22⋊C4—22no—
519C22⋊C4—22no—
520C22⋊C4—41no—
521C22⋊C4—41no—
522C22⋊C4—41no—
523C22⋊C4—41no—
524C22⋊C4—41no—
525C22⋊C4—41no—
526C42—21no—
527C42—21no—
528C42—21no—
529C42—21no—
530C42—21no—
531C42—21no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—21no—
536C11#2331911yescharacteristic, complemented, Sylow
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23#6700112yes—
551C23C23×Dic1111yescharacteristic
552D4—44no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4#6700112yes—
596C2×C4#6700112yes—
597C2×C4#6703711yescharacteristic
598C2×C4#6703711yescharacteristic
599C2×C4#6704211yescharacteristic
600C2×C4#6704211yescharacteristic
601C2×C4#6704311yescharacteristic
602C2×C4#6704311yescharacteristic
603C8—441no—
604C8—441no—
605C8—441no—
606C8—441no—
607C8—441no—
608C8—441no—
609C8—441no—
610C8—441no—
611C22—22no—
612C22—22no—
613C22—22no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22#1062332911yescharacteristic
626C22C2×#6700111yescharacteristic
627C22C2×#6700111yescharacteristic
628C22C2×#6700111yescharacteristic
629C22#1062335011yescharacteristic
630C22#1062335811yescharacteristic
631C22#1062335811yescharacteristic
632C4—22no—
633C4—22no—
634C4—41no—
635C4—41no—
636C4—41no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—41no—
642C4—41no—
643C4—41no—
644C4#1062318211yescharacteristic
645C4#1062319711yescharacteristic
646C4#1062319811yescharacteristic
647C4#1062319811yescharacteristic
648C2—42no—
649C2—81no—
650C2#1307176411yescharacteristic
651C2#1307767211yescharacteristic
652C2#1307769211yescharacteristic
653C2#1307775511yescharacteristic
654C2#1307776511yescharacteristic
655C2#1307777611yescharacteristic
656C2#1307777611yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D11
commutator, socleC23×C11C23×C4
FittingC11×#2395C2
prime radicalC22×D4×C11C2×C4
cosocleC22×C4×C11C24
hypercenter#2395D11
hypocenterC11#23319
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2395

Complements

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

NH ≅ G/Ntype
2. #13069340C2semidirect
3. #13069335C2semidirect
4. #13069231C2semidirect
5. #13069231C2semidirect
6. #13069224C2semidirect
7. #13069224C2semidirect
8. #13069175C2semidirect
9. #13069175C2semidirect
11. #13068796C2semidirect
12. #13068796C2semidirect
13. #13068600C2semidirect
14. #13068600C2semidirect
536. C11#23319semidirect

Maximal subgroups

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

subgroupindex
#130694112
#130693402
#130693352
#130692312
#130692242
#130691752
#130689092
#130687962
#130686002
C11×#23952
#2331911