Finite Group Databasebeta

← #14767755

Subgroups — #14767755

Order 2816.

786 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13069557C211yesmaximal, characteristic, complemented
2#13069553C211yesmaximal, characteristic, complemented
3#13069340C211yesmaximal, characteristic, complemented
4#13069335C211yesmaximal, characteristic, complemented
5#13069182C211yesmaximal, characteristic, complemented
6#13069182C211yesmaximal, characteristic, complemented
7#13069175C211yesmaximal, characteristic, complemented
8#13069175C211yesmaximal, characteristic, complemented
9#13068796C211yesmaximal, characteristic
10#13068796C211yesmaximal, characteristic
11#13068596C211yesmaximal, characteristic
12#13068394C211yesmaximal, characteristic
13C22⋊C4×C11⋊C8C211yesmaximal, characteristic
14C2×#10622162C211yesmaximal, characteristic
15C4×C11×C22⋊Q8C211yesmaximal, characteristic
16C2×C11×C22⋊Q8C411yescharacteristic
17C2×C4×Q8×C11C2211yescharacteristic
18C22×C42×C11C2211yescharacteristic
19C23×C11⋊C8C2211yescharacteristic
20C23×C11⋊C8C2211yescharacteristic
21C11×#391C411yescharacteristic
22C11×#389C411yescharacteristic
23C11×#387C411yescharacteristic
24C11×#387C411yescharacteristic
25C11×#385C411yescharacteristic
26C11×#385C411yescharacteristic
27C11×#380C411yescharacteristic
28C4×C11×C4⋊C4C2211yescharacteristic
29C4×C11×C4⋊C4C2211yescharacteristic
30C4×C11×C4⋊C4C2211yescharacteristic
31C4×C11×C22⋊C4C2211yescharacteristic
32C4×C11×C22⋊C4C2211yescharacteristic
33C2×C22⋊(C11⋊C8)C2211yescharacteristic
34C2×C22⋊(C11⋊C8)C2211yescharacteristic
35C2×C4⋊(C11⋊C8)C2211yescharacteristic
36C2×C4⋊(C11⋊C8)C2211yescharacteristic
37C2×C4⋊(C11⋊C8)C2211yescharacteristic
38C2×C4⋊(C11⋊C8)C2211yescharacteristic
39C2×C4⋊(C11⋊C8)C2211yescharacteristic
40C2×C4⋊(C11⋊C8)C2211yescharacteristic
41C2×#66867C2211yescharacteristic
42C2×#66867C2211yescharacteristic
43C2×C4×C11⋊C8C2211yescharacteristic
44C2×C4×C11⋊C8C2211yescharacteristic
45#10622162C2211yescharacteristic
46#10622162C2211yescharacteristic
47#10622162C2211yescharacteristic
48#10622162C2211yescharacteristic
49#10622162C2211yescharacteristic
50#10622162C2211yescharacteristic
51#10622162C2211yescharacteristic
52#10622162C2211yescharacteristic
53#10622162C2211yescharacteristic
54#10622162C2211yescharacteristic
55#10622162C2211yescharacteristic
56#10622162C2211yescharacteristic
57#10622162C2211yescharacteristic
58#10622162C2211yescharacteristic
59C22×Q8×C11C2×C411yescharacteristic
60C23×C4×C11C2×C411yescharacteristic
61C23×C4×C11C2×C411yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C11×C22⋊Q8—24no—
64C4×Q8×C11—41no—
65C4×Q8×C11—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×C4⋊C4C2×C411yescharacteristic
74C2×C11×C4⋊C4C2×C411yescharacteristic
75C2×C11×C22⋊C4C2×C411yescharacteristic
76C2×C11×C22⋊C4C2×C411yescharacteristic
77C2×C11×C22⋊C4C2×C411yescharacteristic
78C2×C11×C22⋊C4C2×C411yescharacteristic
79C2×C42×C11—41no—
80C2×C42×C11—41no—
81C2×C42×C11C2×C411yescharacteristic
82C2×C42×C11C2×C411yescharacteristic
83C2×C42×C11C2311yescharacteristic
84C2×C42×C11C2311yescharacteristic
85C2×C42×C11C2311yescharacteristic
86C2×C42×C11C2311yescharacteristic
87C2×C42×C11C2311yescharacteristic
88C2×C42×C11C2311yescharacteristic
89C22×C11⋊C8—22no—
90C22×C11⋊C8—41no—
91C22×C11⋊C8—41no—
92C22×C11⋊C8—41no—
93C22×C11⋊C8—41no—
94C22×C11⋊C8Q814yescomplemented
95C22×C11⋊C8C2311yescharacteristic
96C22×C11⋊C8C2311yescharacteristic
97C22×C11⋊C8C2311yescharacteristic
98C22×C11⋊C8C2311yescharacteristic
99C22×C11⋊C8C2311yescharacteristic
100C22×C11⋊C8C2311yescharacteristic
101C22×C11⋊C8C2311yescharacteristic
102C22×C11⋊C8C2311yescharacteristic
103C11×#95C2×C411yescharacteristic
104C11×#95C2×C411yescharacteristic
105C11×#95C2×C411yescharacteristic
106C11×#95C2×C411yescharacteristic
107C11×#95C2×C411yescharacteristic
108C11×#95C2×C411yescharacteristic
109C11×#95C2×C411yescharacteristic
110C11×#95C2×C411yescharacteristic
111C11×#95C2×C411yescharacteristic
112C11×#95C2×C411yescharacteristic
113C22⋊(C11⋊C8)—22no—
114C22⋊(C11⋊C8)—22no—
115C4⋊(C11⋊C8)—41no—
116C4⋊(C11⋊C8)—41no—
117C4⋊(C11⋊C8)—41no—
118C4⋊(C11⋊C8)—41no—
119C4⋊(C11⋊C8)—41no—
120C4⋊(C11⋊C8)—41no—
121#66867—41no—
122#66867—41no—
123C4×C11⋊C8—41no—
124C4×C11⋊C8—41no—
125#22291—111nomaximal, Sylow
126C24×C11C22×C411yescharacteristic
127C2×Q8×C11—22no—
128C2×Q8×C11—22no—
129C2×Q8×C11—41no—
130C22×C4×C11—21no—
131C22×C4×C11—21no—
132C22×C4×C11—21no—
133C22×C4×C11—21no—
134C22×C4×C11—22no—
135C22×C4×C11—22no—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—41no—
139C22×C4×C11—41no—
140C22×C4×C11C22×C411yescharacteristic
141C22×C4×C11C22×C411yescharacteristic
142C22×C4×C11C22×C411yescharacteristic
143C22×C4×C11C22×C411yescharacteristic
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×C11C2×Q812yes—
154C22×C4×C11#4112yes—
155C22×C4×C11C2411yescharacteristic
156C11×C4⋊C4—22no—
157C11×C4⋊C4—22no—
158C11×C4⋊C4—22no—
159C11×C4⋊C4—22no—
160C11×C4⋊C4—22no—
161C11×C4⋊C4—22no—
162C11×C4⋊C4—41no—
163C11×C4⋊C4—41no—
164C11×C4⋊C4—41no—
165C11×C22⋊C4—22no—
166C11×C22⋊C4—22no—
167C11×C22⋊C4—22no—
168C11×C22⋊C4M1614yes—
169C42×C11—21no—
170C42×C11—21no—
171C42×C11—21no—
172C42×C11—21no—
173C42×C11—21no—
174C42×C11—21no—
175C42×C11—21no—
176C42×C11—21no—
177C42×C11—21no—
178C42×C11—21no—
179C42×C11—21no—
180C42×C11—21no—
181C42×C11—41no—
182C42×C11—41no—
183C2×C11⋊C8—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—44no—
206C2×C11⋊C8—44no—
207C2×C11⋊C8C2×Q812yes—
208C2×C11⋊C8C2×Q812yes—
209C4×C22⋊Q8D1111yescharacteristic
210#1985—111no—
211#1984—111no—
212#1940—111no—
213#1939—111no—
214#1917—111no—
215#1917—111no—
216#1916—111no—
217#1916—111no—
218#1850—111no—
219#1850—111no—
220#1797—111no—
221#1752—111no—
222C8×C22⋊C4—111no—
223C2×#336—111no—
224C23×C11—21no—
225C23×C11—21no—
226C23×C11—21no—
227C23×C11—21no—
228C23×C11C4×Q812yes—
229C23×C11C2×M1612yes—
230C23×C11#13112yes—
231C23×C11C23×C411yescharacteristic
232Q8×C11—44no—
233C2×C4×C11—21no—
234C2×C4×C11—21no—
235C2×C4×C11—21no—
236C2×C4×C11—21no—
237C2×C4×C11—21no—
238C2×C4×C11—21no—
239C2×C4×C11—21no—
240C2×C4×C11—21no—
241C2×C4×C11—21no—
242C2×C4×C11—21no—
243C2×C4×C11—22no—
244C2×C4×C11—22no—
245C2×C4×C11—22no—
246C2×C4×C11—22no—
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—44no—
272C2×C4×C11—44no—
273C2×C4×C11C4×Q812yes—
274C2×C4×C11C2×M1612yes—
275C2×C4×C11C2×M1612yes—
276C2×C4×C11#13112yes—
277C2×C4×C11#13112yes—
278C2×C4×C11C22×Q811yescharacteristic
279C2×C4×C11C2×#4111yescharacteristic
280C2×C4×C11H(5,𝔽2)11yescharacteristic
281C2×C4×C11H(5,𝔽2)11yescharacteristic
282C2×C4×C11H(5,𝔽2)11yescharacteristic
283C2×C4×C112−1+411yescharacteristic
284C11⋊C8—22no—
285C11⋊C8—22no—
286C11⋊C8—41no—
287C11⋊C8—41no—
288C11⋊C8—41no—
289C11⋊C8—41no—
290C11⋊C8—41no—
291C11⋊C8—41no—
292C23×C8—111no—
293C23×C8—111no—
294C2×C22⋊Q8Dic1111yescharacteristic
295C2×C4×Q8C2×D1111yescharacteristic
296C22×C42C2×D1111yescharacteristic
297C2×C4⋊C8—111no—
298C2×C4⋊C8—111no—
299C2×C4⋊C8—111no—
300C2×C4⋊C8—111no—
301C2×C4⋊C8—111no—
302C2×C4⋊C8—111no—
303C2×C22⋊C8—111no—
304C2×C22⋊C8—111no—
305C2×#97—111no—
306C2×#97—111no—
307C2×C4×C8—111no—
308C2×C4×C8—111no—
309#391Dic1111yescharacteristic
310#389Dic1111yescharacteristic
311#387Dic1111yescharacteristic
312#387Dic1111yescharacteristic
313#385Dic1111yescharacteristic
314#385Dic1111yescharacteristic
315#380Dic1111yescharacteristic
316C4×C4⋊C4C2×D1111yescharacteristic
317C4×C4⋊C4C2×D1111yescharacteristic
318C4×C4⋊C4C2×D1111yescharacteristic
319C4×C22⋊C4C2×D1111yescharacteristic
320C4×C22⋊C4C2×D1111yescharacteristic
321#336—111no—
322#336—111no—
323#336—111no—
324#336—111no—
325#336—111no—
326#336—111no—
327#336—111no—
328#336—111no—
329#336—111no—
330#336—111no—
331#336—111no—
332#336—111no—
333#336—111no—
334#336—111no—
335C22×C11—22no—
336C22×C11—22no—
337C22×C11—22no—
338C22×C11—22no—
339C22×C11—22no—
340C22×C11—22no—
341C22×C11#44614yes—
342C22×C11C2×C4×Q811yescharacteristic
343C22×C11#51811yescharacteristic
344C22×C11#52011yescharacteristic
345C22×C11C22×M1611yescharacteristic
346C22×C11C2×#13111yescharacteristic
347C22×C11C2×#13111yescharacteristic
348C22×C11C2×#13111yescharacteristic
349C4×C11—22no—
350C4×C11—22no—
351C4×C11—22no—
352C4×C11—22no—
353C4×C11—22no—
354C4×C11—41no—
355C4×C11—41no—
356C4×C11—41no—
357C4×C11—41no—
358C4×C11—41no—
359C4×C11—41no—
360C4×C11—41no—
361C4×C11—41no—
362C4×C11#53811yescharacteristic
363C4×C11#53911yescharacteristic
364C4×C11#54311yescharacteristic
365C4×C11#54411yescharacteristic
366C22×Q8C2×Dic1111yescharacteristic
367C23×C4C2×Dic1111yescharacteristic
368C23×C4C2×Dic1111yescharacteristic
369C23×C4C22×D1111yescharacteristic
370C22×C8—111no—
371C22×C8—111no—
372C22×C8—114no—
373C22×C8—111no—
374C22×C8—111no—
375C22×C8—111no—
376C22×C8—111no—
377C22×C8—111no—
378C22×C8—111no—
379C22×C8—222no—
380C22×C8—441no—
381C22×C8—441no—
382C22×C8—441no—
383C22×C8—441no—
384C22⋊Q8—24no—
385C4×Q8—41no—
386C4×Q8—41no—
387C2×C4⋊C4C2×Dic1111yescharacteristic
388C2×C4⋊C4C2×Dic1111yescharacteristic
389C2×C4⋊C4C2×Dic1111yescharacteristic
390C2×C4⋊C4C2×Dic1111yescharacteristic
391C2×C4⋊C4C2×Dic1111yescharacteristic
392C2×C4⋊C4C2×Dic1111yescharacteristic
393C2×C4⋊C4C2×Dic1111yescharacteristic
394C2×C4⋊C4C2×Dic1111yescharacteristic
395C2×C4⋊C4C2×Dic1111yescharacteristic
396C2×C22⋊C4C2×Dic1111yescharacteristic
397C2×C22⋊C4C2×Dic1111yescharacteristic
398C2×C22⋊C4C2×Dic1111yescharacteristic
399C2×C22⋊C4C2×Dic1111yescharacteristic
400C2×C42—41no—
401C2×C42—41no—
402C2×C42C2×Dic1111yescharacteristic
403C2×C42C2×Dic1111yescharacteristic
404C2×C42C22×D1111yescharacteristic
405C2×C42C22×D1111yescharacteristic
406C2×C42C22×D1111yescharacteristic
407C2×C42C22×D1111yescharacteristic
408C2×C42C22×D1111yescharacteristic
409C2×C42C22×D1111yescharacteristic
410C4⋊C8—441no—
411C4⋊C8—441no—
412C4⋊C8—441no—
413C4⋊C8—441no—
414C4⋊C8—441no—
415C4⋊C8—441no—
416C22⋊C8—222no—
417C22⋊C8—222no—
418#97—441no—
419#97—441no—
420C4×C8—441no—
421C4×C8—441no—
422#95C2×Dic1111yescharacteristic
423#95C2×Dic1111yescharacteristic
424#95C2×Dic1111yescharacteristic
425#95C2×Dic1111yescharacteristic
426#95C2×Dic1111yescharacteristic
427#95C2×Dic1111yescharacteristic
428#95C2×Dic1111yescharacteristic
429#95C2×Dic1111yescharacteristic
430#95C2×Dic1111yescharacteristic
431#95C2×Dic1111yescharacteristic
432C2×C11—24no—
433C2×C11#232911yescharacteristic
434C2×C11C2×#44611yescharacteristic
435C2×C11#296011yescharacteristic
436C2×C11#297411yescharacteristic
437C2×C11#297711yescharacteristic
438C2×C11#299011yescharacteristic
439C2×C11#299411yescharacteristic
440C24C22×Dic1111yescharacteristic
441C2×Q8—22no—
442C2×Q8—22no—
443C2×Q8—41no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—41no—
453C22×C4—41no—
454C22×C4Q8×D1112yes—
455C22×C4#434312yes—
456C22×C4C22×Dic1111yescharacteristic
457C22×C4C22×Dic1111yescharacteristic
458C22×C4C22×Dic1111yescharacteristic
459C22×C4C22×Dic1111yescharacteristic
460C22×C4C22×Dic1111yescharacteristic
461C22×C4C22×Dic1111yescharacteristic
462C22×C4C22×Dic1111yescharacteristic
463C22×C4C22×Dic1111yescharacteristic
464C22×C4C22×Dic1111yescharacteristic
465C22×C4C22×Dic1111yescharacteristic
466C22×C4C22×Dic1111yescharacteristic
467C22×C4C22×Dic1111yescharacteristic
468C22×C4C22×Dic1111yescharacteristic
469C22×C4C23×D1111yescharacteristic
470C2×C8—112no—
471C2×C8—112no—
472C2×C8—221no—
473C2×C8—221no—
474C2×C8—221no—
475C2×C8—221no—
476C2×C8—221no—
477C2×C8—221no—
478C2×C8—221no—
479C2×C8—221no—
480C2×C8—221no—
481C2×C8—221no—
482C2×C8—221no—
483C2×C8—221no—
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—444no—
495C2×C8—444no—
496C4⋊C4—22no—
497C4⋊C4—22no—
498C4⋊C4—22no—
499C4⋊C4—22no—
500C4⋊C4—22no—
501C4⋊C4—22no—
502C4⋊C4—41no—
503C4⋊C4—41no—
504C4⋊C4—41no—
505C22⋊C4—22no—
506C22⋊C4—22no—
507C22⋊C4—22no—
508C22⋊C4#431814yes—
509C42—21no—
510C42—21no—
511C42—21no—
512C42—21no—
513C42—21no—
514C42—21no—
515C42—21no—
516C42—21no—
517C42—21no—
518C42—21no—
519C42—21no—
520C42—21no—
521C42—41no—
522C42—41no—
523C11#2229111yescharacteristic, complemented, Sylow
524C23—21no—
525C23—21no—
526C23—21no—
527C23—21no—
528C23C2×#431812yes—
529C23Q8×Dic1112yes—
530C23#6700112yes—
531C23C23×Dic1111yescharacteristic
532Q8—44no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
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—44no—
572C2×C4—44no—
573C2×C4C2×#431812yes—
574C2×C4C2×#431812yes—
575C2×C4Q8×Dic1112yes—
576C2×C4#6700112yes—
577C2×C4#6700112yes—
578C2×C4#6703711yescharacteristic
579C2×C4#6703711yescharacteristic
580C2×C4C2×Q8×D1111yescharacteristic
581C2×C4C2×#434311yescharacteristic
582C2×C4#6704211yescharacteristic
583C2×C4#6704311yescharacteristic
584C8—222no—
585C8—222no—
586C8—441no—
587C8—441no—
588C8—441no—
589C8—441no—
590C8—441no—
591C8—441no—
592C22—22no—
593C22—22no—
594C22—22no—
595C22—22no—
596C22—22no—
597C22—22no—
598C22#1062263714yes—
599C22C22×#431811yescharacteristic
600C22#1062332911yescharacteristic
601C22C2×Q8×Dic1111yescharacteristic
602C22C2×#6700111yescharacteristic
603C22C2×#6700111yescharacteristic
604C22C2×#6700111yescharacteristic
605C22#1062335811yescharacteristic
606C4—22no—
607C4—22no—
608C4—22no—
609C4—22no—
610C4—22no—
611C4—41no—
612C4—41no—
613C4—41no—
614C4—41no—
615C4—41no—
616C4—41no—
617C4—41no—
618C4—41no—
619C4#1062315411yescharacteristic
620C4#1062316511yescharacteristic
621C4#1062317511yescharacteristic
622C4#1062317611yescharacteristic
623C2—24no—
624C2#1307135111yescharacteristic
625C2C2×#1062263711yescharacteristic
626C2#1307755111yescharacteristic
627C2#1307765111yescharacteristic
628C2#1307767211yescharacteristic
629C2#1307774111yescharacteristic
630C2#1307777611yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D11
commutator, socleC23×C11C23×C4
FittingC4×C11×C22⋊Q8C2
prime radicalC24×C11C22×C4
cosocleC22×C4×C11C24
hypercenterC4×C22⋊Q8D11
hypocenterC11#22291
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. #13069557C2semidirect
2. #13069553C2semidirect
3. #13069340C2semidirect
4. #13069335C2semidirect
5. #13069182C2semidirect
6. #13069182C2semidirect
7. #13069175C2semidirect
8. #13069175C2semidirect
94. C22×C11⋊C8Q8semidirect
523. C11#22291semidirect

Maximal subgroups

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

subgroupindex
#130695572
#130695532
#130693402
#130693352
#130691822
#130691752
#130687962
#130685962
#130683942
C22⋊C4×C11⋊C82
C2×#106221622
C4×C11×C22⋊Q82
#2229111