Finite Group Databasebeta

← #14772794

Subgroups — #14772794

Order 2816.

1052 conjugacy classes of subgroups.

The subgroup lattice has 616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622538C211yesmaximal, characteristic, complemented
2C22×C4⋊(C11⋊C8)C211yesmaximal, characteristic, complemented
3#13069224C212yesmaximal, complemented
4#13069175C212yesmaximal, complemented
5#13068909C212yesmaximal
6#13068733C211yesmaximal, characteristic, complemented
7#13068596C211yesmaximal, characteristic, complemented
8#13068596C211yesmaximal, characteristic, complemented
9C4×C4⋊(C11⋊C8)C211yesmaximal, characteristic, complemented
10C22⋊C4×C11⋊C8C212yesmaximal, complemented
11C42×D4×C11C211yesmaximal, characteristic
12C2×C4×D4×C11C411yescharacteristic
13C2×C4×D4×C11C411yescharacteristic
14C2×C4×D4×C11C2211yescharacteristic
15C22×C42×C11C2211yescharacteristic
16C22×C42×C11C2211yescharacteristic
17C23×C11⋊C8C2212yes—
18C4×C11×C4⋊C4C411yescharacteristic
19C4×C11×C4⋊C4C411yescharacteristic
20C4×C11×C4⋊C4C2211yescharacteristic
21C4×C11×C22⋊C4C411yescharacteristic
22C4×C11×C22⋊C4C411yescharacteristic
23C4×C11×C22⋊C4C411yescharacteristic
24C4×C11×C22⋊C4C411yescharacteristic
25C4×C11×C22⋊C4C2211yescharacteristic
26C4×C11×C22⋊C4C2211yescharacteristic
27C43×C11C2211yescharacteristic
28C2×C22⋊(C11⋊C8)C2212yes—
29C2×C22⋊(C11⋊C8)C2212yes—
30C2×C22⋊(C11⋊C8)C2212yes—
31#10622538—24no—
32C2×C4⋊(C11⋊C8)—24no—
33C2×C4⋊(C11⋊C8)C2211yescharacteristic
34C2×C4⋊(C11⋊C8)C2211yescharacteristic
35C2×C4⋊(C11⋊C8)C2211yescharacteristic
36C2×C4⋊(C11⋊C8)C2212yes—
37C2×C4⋊(C11⋊C8)C2211yescharacteristic
38C2×C4×C11⋊C8C2212yes—
39C2×C4×C11⋊C8C2212yes—
40#10622162C2212yes—
41#10622162C2212yes—
42#10622162C2212yes—
43#10622162C2212yes—
44#10622162C2212yes—
45C22×D4×C11C2×C411yescharacteristic
46C23×C4×C11C2×C411yescharacteristic
47C23×C4×C11C2×C411yescharacteristic
48C23×C4×C11C2×C411yescharacteristic
49C23×C4×C11C2×C411yescharacteristic
50C23×C4×C11C2311yescharacteristic
51C23×C4×C11C2311yescharacteristic
52C4×D4×C11—22no—
53C4×D4×C11—22no—
54C4×D4×C11—24no—
55C4×D4×C11C818yescomplemented
56C2×C11×C4⋊C4C2×C411yescharacteristic
57C2×C11×C4⋊C4C2×C411yescharacteristic
58C2×C11×C4⋊C4C2×C411yescharacteristic
59C2×C11×C22⋊C4C2×C411yescharacteristic
60C2×C11×C22⋊C4C2×C411yescharacteristic
61C2×C11×C22⋊C4C2×C411yescharacteristic
62C2×C11×C22⋊C4C2×C411yescharacteristic
63C2×C11×C22⋊C4C2×C411yescharacteristic
64C2×C11×C22⋊C4C2×C411yescharacteristic
65C2×C42×C11—22no—
66C2×C42×C11—22no—
67C2×C42×C11—22no—
68C2×C42×C11—22no—
69C2×C42×C11C2×C411yescharacteristic
70C2×C42×C11C2×C411yescharacteristic
71C2×C42×C11C2×C411yescharacteristic
72C2×C42×C11C2×C411yescharacteristic
73C2×C42×C11C2×C411yescharacteristic
74C2×C42×C11C2×C411yescharacteristic
75C2×C42×C11C2×C411yescharacteristic
76C2×C42×C11C2×C411yescharacteristic
77C2×C42×C11C2311yescharacteristic
78C2×C42×C11C2311yescharacteristic
79C2×C42×C11C2311yescharacteristic
80C2×C42×C11C2311yescharacteristic
81C2×C42×C11C2311yescharacteristic
82C22×C11⋊C8—24no—
83C22×C11⋊C8—24no—
84C22×C11⋊C8—42no—
85C22×C11⋊C8C2312yes—
86C22×C11⋊C8C2312yes—
87C22×C11⋊C8C2312yes—
88C22×C11⋊C8C2312yes—
89C11×#95C2×C411yescharacteristic
90C11×#95C2×C411yescharacteristic
91C11×#95C2×C411yescharacteristic
92C11×#95C2×C411yescharacteristic
93C11×#95C2×C411yescharacteristic
94C11×#95C2×C411yescharacteristic
95C22⋊(C11⋊C8)—24no—
96C22⋊(C11⋊C8)—24no—
97C22⋊(C11⋊C8)—42no—
98C4⋊(C11⋊C8)—22no—
99C4⋊(C11⋊C8)—22no—
100C4⋊(C11⋊C8)—22no—
101C4⋊(C11⋊C8)—24no—
102C4⋊(C11⋊C8)D414yescomplemented
103C4×C11⋊C8—24no—
104C4×C11⋊C8—42no—
105#22748—111nomaximal, Sylow
106C24×C11C22×C411yescharacteristic
107C24×C11C22×C411yescharacteristic
108C2×D4×C11—22no—
109C2×D4×C11—22no—
110C2×D4×C11C2×C814yes—
111C22×C4×C11—22no—
112C22×C4×C11—22no—
113C22×C4×C11—22no—
114C22×C4×C11—22no—
115C22×C4×C11—21no—
116C22×C4×C11—21no—
117C22×C4×C11—21no—
118C22×C4×C11—21no—
119C22×C4×C11—22no—
120C22×C4×C11—22no—
121C22×C4×C11—22no—
122C22×C4×C11—22no—
123C22×C4×C11—21no—
124C22×C4×C11—21no—
125C22×C4×C11—21no—
126C22×C4×C11—21no—
127C22×C4×C11—21no—
128C22×C4×C11—21no—
129C22×C4×C11—41no—
130C22×C4×C11—41no—
131C22×C4×C11C2×C814yes—
132C22×C4×C11C2×C814yescomplemented
133C22×C4×C11C22×C411yescharacteristic
134C22×C4×C11C22×C411yescharacteristic
135C22×C4×C11C22×C411yescharacteristic
136C22×C4×C11C22×C411yescharacteristic
137C22×C4×C11C22×C411yescharacteristic
138C22×C4×C11C22×C411yescharacteristic
139C22×C4×C11C22×C411yescharacteristic
140C22×C4×C11C22×C411yescharacteristic
141C22×C4×C11C22×C411yescharacteristic
142C22×C4×C11C22×C411yescharacteristic
143C22×C4×C11C22×C411yescharacteristic
144C22×C4×C11C22×C411yescharacteristic
145C22×C4×C11#4112yes—
146C22×C4×C11#4112yes—
147C22×C4×C11C2411yescharacteristic
148C11×C4⋊C4—22no—
149C11×C4⋊C4—22no—
150C11×C4⋊C4C2×C814yescomplemented
151C11×C22⋊C4—22no—
152C11×C22⋊C4—22no—
153C11×C22⋊C4—22no—
154C11×C22⋊C4C2×C814yes—
155C11×C22⋊C4C2×C814yescomplemented
156C11×C22⋊C4M1614yes—
157C42×C11—22no—
158C42×C11—22no—
159C42×C11—22no—
160C42×C11—22no—
161C42×C11—22no—
162C42×C11—22no—
163C42×C11—21no—
164C42×C11—21no—
165C42×C11—21no—
166C42×C11—21no—
167C42×C11—21no—
168C42×C11—21no—
169C42×C11—21no—
170C42×C11—21no—
171C42×C11—41no—
172C42×C11C2×C814yescomplemented
173C42×C11C2×D412yes—
174C42×C11#4112yes—
175C2×C11⋊C8—22no—
176C2×C11⋊C8—22no—
177C2×C11⋊C8—22no—
178C2×C11⋊C8—22no—
179C2×C11⋊C8—22no—
180C2×C11⋊C8—22no—
181C2×C11⋊C8—22no—
182C2×C11⋊C8—22no—
183C2×C11⋊C8—22no—
184C2×C11⋊C8—22no—
185C2×C11⋊C8—22no—
186C2×C11⋊C8—48no—
187C2×C11⋊C8C2×D414yes—
188C2×#431—111no—
189C22×C4⋊C8—111no—
190C42×D4D1111yescharacteristic
191#1923—112no—
192#1916—112no—
193#1869—112no—
194#1831—111no—
195#1797—111no—
196#1797—111no—
197C4×C4⋊C8—111no—
198C8×C22⋊C4—112no—
199C23×C11—21no—
200C23×C11—21no—
201C23×C11—21no—
202C23×C11—21no—
203C23×C11—21no—
204C23×C11—21no—
205C23×C11—21no—
206C23×C11—21no—
207C23×C11—21no—
208C23×C11—21no—
209C23×C11#11712yes—
210C23×C11C22×C812yes—
211C23×C11C22×C812yes—
212C23×C11C2×M1612yes—
213C23×C11C23×C411yescharacteristic
214D4×C11—28no—
215C2×C4×C11—21no—
216C2×C4×C11—21no—
217C2×C4×C11—21no—
218C2×C4×C11—21no—
219C2×C4×C11—21no—
220C2×C4×C11—21no—
221C2×C4×C11—21no—
222C2×C4×C11—21no—
223C2×C4×C11—21no—
224C2×C4×C11—21no—
225C2×C4×C11—21no—
226C2×C4×C11—21no—
227C2×C4×C11—21no—
228C2×C4×C11—21no—
229C2×C4×C11—21no—
230C2×C4×C11—21no—
231C2×C4×C11—22no—
232C2×C4×C11—22no—
233C2×C4×C11—22no—
234C2×C4×C11—22no—
235C2×C4×C11—28no—
236C2×C4×C11—28no—
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—21no—
244C2×C4×C11—21no—
245C2×C4×C11—21no—
246C2×C4×C11—44no—
247C2×C4×C11—44no—
248C2×C4×C11—41no—
249C2×C4×C11—41no—
250C2×C4×C11—41no—
251C2×C4×C11—41no—
252C2×C4×C11#11712yes—
253C2×C4×C11C4×D412yes—
254C2×C4×C11C4×D412yes—
255C2×C4×C11C22×C812yes—
256C2×C4×C11C22×C812yes—
257C2×C4×C11C22×C812yes—
258C2×C4×C11C22×C812yes—
259C2×C4×C11C22×C812yes—
260C2×C4×C11C2×M1612yes—
261C2×C4×C11C2×M1612yes—
262C2×C4×C11#13112yes—
263C2×C4×C11C22×D411yescharacteristic
264C2×C4×C11C2×#4111yescharacteristic
265C2×C4×C11C2×#4111yescharacteristic
266C2×C4×C11C2×#4111yescharacteristic
267C2×C4×C11H(5,𝔽2)11yescharacteristic
268C2×C4×C112−1+411yescharacteristic
269C11⋊C8—24no—
270C11⋊C8—42no—
271C11⋊C8—42no—
272C11⋊C8—42no—
273C23×C8—112no—
274C2×C4×D4Dic1111yescharacteristic
275C2×C4×D4Dic1111yescharacteristic
276C2×C4×D4C2×D1111yescharacteristic
277C22×C42C2×D1111yescharacteristic
278C22×C42C2×D1111yescharacteristic
279#431—224no—
280C2×C4⋊C8—111no—
281C2×C4⋊C8—111no—
282C2×C4⋊C8—111no—
283C2×C4⋊C8—111no—
284C2×C4⋊C8—112no—
285C2×C4⋊C8—224no—
286C2×C22⋊C8—112no—
287C2×C22⋊C8—112no—
288C2×C22⋊C8—112no—
289C2×C4×C8—112no—
290C2×C4×C8—112no—
291C4×C4⋊C4Dic1111yescharacteristic
292C4×C4⋊C4Dic1111yescharacteristic
293C4×C4⋊C4C2×D1111yescharacteristic
294C4×C22⋊C4Dic1111yescharacteristic
295C4×C22⋊C4Dic1111yescharacteristic
296C4×C22⋊C4Dic1111yescharacteristic
297C4×C22⋊C4Dic1111yescharacteristic
298C4×C22⋊C4C2×D1111yescharacteristic
299C4×C22⋊C4C2×D1111yescharacteristic
300C43C2×D1111yescharacteristic
301#336—112no—
302#336—112no—
303#336—112no—
304#336—112no—
305#336—112no—
306C22×C11—22no—
307C22×C11—22no—
308C22×C11—22no—
309C22×C11—22no—
310C22×C11—22no—
311C22×C11—22no—
312C22×C11—22no—
313C22×C11—22no—
314C22×C11—22no—
315C22×C11—41no—
316C22×C11—41no—
317C22×C11—41no—
318C22×C11—41no—
319C22×C11#43114yescomplemented
320C22×C11C2×#11711yescharacteristic
321C22×C11C2×C4×D411yescharacteristic
322C22×C11#52011yescharacteristic
323C22×C11C23×C811yescharacteristic
324C22×C11C22×M1611yescharacteristic
325C22×C11C2×#13111yescharacteristic
326C22×C11#56811yescharacteristic
327C4×C11—22no—
328C4×C11—22no—
329C4×C11—22no—
330C4×C11—22no—
331C4×C11—22no—
332C4×C11—22no—
333C4×C11—22no—
334C4×C11—22no—
335C4×C11—41no—
336C4×C11—41no—
337C4×C11—41no—
338C4×C11C8×D414yes—
339C4×C11#54611yescharacteristic
340C4×C11#54811yescharacteristic
341C4×C11#55211yescharacteristic
342C4×C11#55311yescharacteristic
343C22×D4C2×Dic1111yescharacteristic
344C23×C4C2×Dic1111yescharacteristic
345C23×C4C2×Dic1111yescharacteristic
346C23×C4C2×Dic1111yescharacteristic
347C23×C4C2×Dic1111yescharacteristic
348C23×C4C22×D1111yescharacteristic
349C23×C4C22×D1111yescharacteristic
350C22×C8—112no—
351C22×C8—112no—
352C22×C8—112no—
353C22×C8—112no—
354C22×C8—224no—
355C22×C8—224no—
356C22×C8—442no—
357C4×D4—22no—
358C4×D4—22no—
359C4×D4—24no—
360C4×D4C11⋊C818yescomplemented
361C2×C4⋊C4C2×Dic1111yescharacteristic
362C2×C4⋊C4C2×Dic1111yescharacteristic
363C2×C4⋊C4C2×Dic1111yescharacteristic
364C2×C22⋊C4C2×Dic1111yescharacteristic
365C2×C22⋊C4C2×Dic1111yescharacteristic
366C2×C22⋊C4C2×Dic1111yescharacteristic
367C2×C22⋊C4C2×Dic1111yescharacteristic
368C2×C22⋊C4C2×Dic1111yescharacteristic
369C2×C22⋊C4C2×Dic1111yescharacteristic
370C2×C42—22no—
371C2×C42—22no—
372C2×C42—22no—
373C2×C42—22no—
374C2×C42C2×Dic1111yescharacteristic
375C2×C42C2×Dic1111yescharacteristic
376C2×C42C2×Dic1111yescharacteristic
377C2×C42C2×Dic1111yescharacteristic
378C2×C42C2×Dic1111yescharacteristic
379C2×C42C2×Dic1111yescharacteristic
380C2×C42C2×Dic1111yescharacteristic
381C2×C42C2×Dic1111yescharacteristic
382C2×C42C22×D1111yescharacteristic
383C2×C42C22×D1111yescharacteristic
384C2×C42C22×D1111yescharacteristic
385C2×C42C22×D1111yescharacteristic
386C2×C42C22×D1111yescharacteristic
387C4⋊C8—114no—
388C4⋊C8—224no—
389C4⋊C8—222no—
390C4⋊C8—222no—
391C4⋊C8—222no—
392C22⋊C8—224no—
393C22⋊C8—224no—
394C22⋊C8—442no—
395C4×C8—224no—
396C4×C8—442no—
397#95C2×Dic1111yescharacteristic
398#95C2×Dic1111yescharacteristic
399#95C2×Dic1111yescharacteristic
400#95C2×Dic1111yescharacteristic
401#95C2×Dic1111yescharacteristic
402#95C2×Dic1111yescharacteristic
403C2×C11—24no—
404C2×C11—42no—
405C2×C11#235211yescharacteristic
406C2×C11C2×#43111yescharacteristic
407C2×C11#292511yescharacteristic
408C2×C11C2×C8×D411yescharacteristic
409C2×C11D4×M1611yescharacteristic
410C2×C11#298811yescharacteristic
411C2×C11#299011yescharacteristic
412C24C22×Dic1111yescharacteristic
413C24C22×Dic1111yescharacteristic
414C2×D4—22no—
415C2×D4—22no—
416C2×D4C2×C11⋊C814yes—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4C2×C11⋊C814yes—
438C22×C4C2×C11⋊C814yescomplemented
439C22×C4#433912yes—
440C22×C4#433912yes—
441C22×C4C22×Dic1111yescharacteristic
442C22×C4C22×Dic1111yescharacteristic
443C22×C4C22×Dic1111yescharacteristic
444C22×C4C22×Dic1111yescharacteristic
445C22×C4C22×Dic1111yescharacteristic
446C22×C4C22×Dic1111yescharacteristic
447C22×C4C22×Dic1111yescharacteristic
448C22×C4C22×Dic1111yescharacteristic
449C22×C4C22×Dic1111yescharacteristic
450C22×C4C22×Dic1111yescharacteristic
451C22×C4C22×Dic1111yescharacteristic
452C22×C4C22×Dic1111yescharacteristic
453C22×C4C23×D1111yescharacteristic
454C2×C8—114no—
455C2×C8—222no—
456C2×C8—222no—
457C2×C8—222no—
458C2×C8—222no—
459C2×C8—222no—
460C2×C8—222no—
461C2×C8—222no—
462C2×C8—222no—
463C2×C8—222no—
464C2×C8—222no—
465C2×C8—222no—
466C2×C8—448no—
467C4⋊C4—22no—
468C4⋊C4—22no—
469C4⋊C4C2×C11⋊C814yescomplemented
470C22⋊C4—22no—
471C22⋊C4—22no—
472C22⋊C4—22no—
473C22⋊C4C2×C11⋊C814yes—
474C22⋊C4C2×C11⋊C814yescomplemented
475C22⋊C4#431814yes—
476C42—22no—
477C42—22no—
478C42—22no—
479C42—22no—
480C42—22no—
481C42—22no—
482C42—21no—
483C42—21no—
484C42—21no—
485C42—21no—
486C42—21no—
487C42—21no—
488C42—21no—
489C42—21no—
490C42—41no—
491C42C2×C11⋊C814yescomplemented
492C42D4×D1112yes—
493C42#434112yes—
494C11#2274811yescharacteristic, complemented, Sylow
495C23—21no—
496C23—21no—
497C23—21no—
498C23—21no—
499C23—21no—
500C23—21no—
501C23—21no—
502C23—21no—
503C23—21no—
504C23—21no—
505C23C22×C11⋊C812yes—
506C23C22×C11⋊C812yes—
507C23C2×#431812yes—
508C23#6697912yes—
509C23C23×Dic1111yescharacteristic
510D4—28no—
511C2×C4—21no—
512C2×C4—21no—
513C2×C4—21no—
514C2×C4—21no—
515C2×C4—21no—
516C2×C4—21no—
517C2×C4—21no—
518C2×C4—21no—
519C2×C4—21no—
520C2×C4—21no—
521C2×C4—21no—
522C2×C4—21no—
523C2×C4—21no—
524C2×C4—21no—
525C2×C4—21no—
526C2×C4—21no—
527C2×C4—22no—
528C2×C4—22no—
529C2×C4—22no—
530C2×C4—22no—
531C2×C4—28no—
532C2×C4—28no—
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—44no—
543C2×C4—44no—
544C2×C4—41no—
545C2×C4—41no—
546C2×C4—41no—
547C2×C4—41no—
548C2×C4C22×C11⋊C812yes—
549C2×C4C22×C11⋊C812yes—
550C2×C4C22×C11⋊C812yes—
551C2×C4C22×C11⋊C812yes—
552C2×C4C22×C11⋊C812yes—
553C2×C4C2×#431812yes—
554C2×C4C2×#431812yes—
555C2×C4#6697912yes—
556C2×C4D4×Dic1112yes—
557C2×C4D4×Dic1112yes—
558C2×C4#6700112yes—
559C2×C4C2×#433911yescharacteristic
560C2×C4C2×#433911yescharacteristic
561C2×C4C2×D4×D1111yescharacteristic
562C2×C4C2×#434111yescharacteristic
563C2×C4#6704211yescharacteristic
564C2×C4#6704311yescharacteristic
565C8—224no—
566C8—442no—
567C8—442no—
568C8—442no—
569C22—22no—
570C22—22no—
571C22—22no—
572C22—22no—
573C22—22no—
574C22—22no—
575C22—22no—
576C22—22no—
577C22—22no—
578C22—41no—
579C22—41no—
580C22—41no—
581C22—41no—
582C22#1062253814yescomplemented
583C22C23×C11⋊C811yescharacteristic
584C22C22×#431811yescharacteristic
585C22C2×#6697911yescharacteristic
586C22C2×D4×Dic1111yescharacteristic
587C22C2×#6700111yescharacteristic
588C22#1062335011yescharacteristic
589C22#1062335811yescharacteristic
590C4—22no—
591C4—22no—
592C4—22no—
593C4—22no—
594C4—22no—
595C4—22no—
596C4—22no—
597C4—22no—
598C4—41no—
599C4—41no—
600C4—41no—
601C4D4×C11⋊C814yes—
602C4#1062307211yescharacteristic
603C4#1062308111yescharacteristic
604C4#1062308311yescharacteristic
605C4#1062309611yescharacteristic
606C2—24no—
607C2—42no—
608C2#1307154511yescharacteristic
609C2C2×#1062253811yescharacteristic
610C2#1307728211yescharacteristic
611C2C2×D4×C11⋊C811yescharacteristic
612C2D4×#431811yescharacteristic
613C2#1307772711yescharacteristic
614C2#1307774111yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D11
commutatorC22×C11C23×C8
FittingC42×D4×C11C2
socleC23×C11C23×C4
prime radicalC22×D4×C11C2×C4
cosocleC22×C4×C11C24
hypercenterC42×D4D11
hypocenterC11#22748
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
1. C2×#10622538C2semidirect
2. C22×C4⋊(C11⋊C8)C2semidirect
3. #13069224C2semidirect
4. #13069175C2semidirect
6. #13068733C2semidirect
7. #13068596C2semidirect
8. #13068596C2semidirect
9. C4×C4⋊(C11⋊C8)C2semidirect
10. C22⋊C4×C11⋊C8C2semidirect
55. C4×D4×C11C8semidirect
102. C4⋊(C11⋊C8)D4semidirect
132. C22×C4×C11C2×C8semidirect
150. C11×C4⋊C4C2×C8semidirect
155. C11×C22⋊C4C2×C8semidirect
172. C42×C11C2×C8semidirect
319. C22×C11#431semidirect
360. C4×D4C11⋊C8semidirect
438. C22×C4C2×C11⋊C8semidirect
469. C4⋊C4C2×C11⋊C8semidirect
474. C22⋊C4C2×C11⋊C8semidirect
491. C42C2×C11⋊C8semidirect
494. C11#22748semidirect
582. C22#10622538semidirect

Maximal subgroups

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

subgroupindex
C2×#106225382
C22×C4⋊(C11⋊C8)2
#130692242
#130691752
#130689092
#130687332
#130685962
C4×C4⋊(C11⋊C8)2
C22⋊C4×C11⋊C82
C42×D4×C112
#2274811