Finite Group Databasebeta

← #14769064

Subgroups — #14769064

Order 2816.

1908 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D11C211yesmaximal, characteristic
2C2×#10622625C211yesmaximal, characteristic, complemented
3C2×#10622739C212yesmaximal, complemented
4#13069410C211yesmaximal, characteristic, complemented
5#13069409C211yesmaximal, characteristic, complemented
6#13068913C212yesmaximal, complemented
7#13068911C212yesmaximal, complemented
8#13068593C211yesmaximal, characteristic, complemented
9#13068525C212yesmaximal, complemented
10C4×(C2×D11)⋊C8C211yesmaximal, characteristic, complemented
11C2×C11×#436C211yesmaximal, characteristic, complemented
12C22×D4×D11C411yescharacteristic
13C23×C4×D11C2212yes—
14C22×C11×M16C2212yescomplemented
15C2×C4×D4×C11C2211yescharacteristic
16C2×D4×Dic11C411yescharacteristic
17C2×C4×C22⋊D11C2212yes—
18C22×#4318C2212yescomplemented
19C4×D4×D11—24no—
20C4×D4×D11—24no—
21C2×#66946C411yescharacteristic
22C2×C4⋊C4×D11C411yescharacteristic
23C2×(C22⋊D11)⋊C4C412yes—
24C2×C22⋊C4×D11C412yes—
25C2×C4×D44C2211yescharacteristic
26C2×C42×D11C2211yescharacteristic
27C11×#436—24no—
28C2×C11×C4⋊C8C2211yescharacteristic, complemented
29C2×C11×C22⋊C8C2212yescomplemented
30C2×C4×C8×C11C2211yescharacteristic, complemented
31C2×C22⋊(C11⋊C8)C2212yescomplemented
32#10622739—28no—
33C2×(C2×D11)⋊C8C2212yes—
34C2×(C2×D11)⋊C8C2211yescharacteristic
35C2×(C2×D11)⋊C8C2211yescharacteristic
36C2×(C2×D11)⋊C8C2212yescomplemented
37C2×(C2×D11)⋊C8C2212yescomplemented
38C2×(C2×D11)⋊C8C2212yescomplemented
39C2×(C2×D11)⋊C8C2212yescomplemented
40#10622625—24no—
41C2×C4⋊(C11⋊C8)C2211yescharacteristic, complemented
42C2×C4×C11⋊C8C2211yescharacteristic, complemented
43#10622188C2212yescomplemented
44#10622188C2211yescharacteristic, complemented
45#10622188C2211yescharacteristic, complemented
46C24×D11C2×C412yes—
47C22×D4×C11C2×C411yescharacteristic
48C23×C4×C11C2312yes—
49C22×C22⋊D11C2×C412yes—
50C23×Dic11C2×C412yes—
51C2×D4×D11—24no—
52C2×D4×D11—24no—
53C2×D4×D11—24no—
54C22×D44C2×C411yescharacteristic
55C22×C4×D11—24no—
56C22×C4×D11—24no—
57C22×C4×D11—24no—
58C22×C4×D11—24no—
59C22×C4×D11—42no—
60C22×C4×D11—42no—
61C22×C4×D11C2×C411yescharacteristic
62C22×C4×D11C2×C412yes—
63C22×C4×D11C2×C412yes—
64C22×C4×D11C2×C411yescharacteristic
65C22×C4×D11C2312yes—
66C22×C4×D11C2311yescharacteristic
67C2×C11×M16—24no—
68C2×C11×M16—24no—
69C2×C11×M16—42no—
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2312yes—
72C22×C8×C11C2311yescharacteristic
73C4×D4×C11D414yes—
74C4×D4×C11D414yes—
75C2×C11×C4⋊C4C2×C411yescharacteristic
76C2×C11×C22⋊C4C2×C412yes—
77C2×C42×C11C2311yescharacteristic
78C2×C22⋊Dic11C2×C412yes—
79D4×Dic11—24no—
80C4×C22⋊D11—24no—
81C4×C22⋊D11—24no—
82C2×(C2×D11)⋊C4C2×C412yes—
83C2×(C2×D11)⋊C4C2×C412yes—
84C2×C4⋊Dic11C2×C411yescharacteristic
85C2×Dic11⋊C4C2×C412yes—
86C2×C4×Dic11C2×C411yescharacteristic
87C2×C4×Dic11C2×C411yescharacteristic
88C2×C4×Dic11C2311yescharacteristic
89C2×#4318—24no—
90C2×#4318—24no—
91C2×#4318—42no—
92C22×C11⋊C8C2311yescharacteristic
93C22×C11⋊C8C2312yes—
94C22×C11⋊C8C2311yescharacteristic
95#66946—24no—
96C4⋊C4×D11—24no—
97(C22⋊D11)⋊C4—28no—
98C22⋊C4×D11—28no—
99C4×D44—22no—
100C4×D44—22no—
101C42×D11—22no—
102C42×D11—22no—
103C11×C4⋊C8—22no—
104C11×C22⋊C8—24no—
105C4×C8×C11—22no—
106C22⋊(C11⋊C8)—24no—
107(C2×D11)⋊C8—24no—
108(C2×D11)⋊C8—22no—
109(C2×D11)⋊C8—24no—
110(C2×D11)⋊C8—24no—
111(C2×D11)⋊C8—42no—
112(C2×D11)⋊C8—42no—
113(C2×D11)⋊C8D414yescomplemented
114C4⋊(C11⋊C8)—22no—
115C4×C11⋊C8—22no—
116#22401—111nomaximal, Sylow
117C24×C11C22×C412yes—
118C23×D11—24no—
119C23×D11—24no—
120C23×D11—24no—
121C23×D11—24no—
122C23×D11—24no—
123C23×D11—42no—
124C23×D11—42no—
125C23×D11C22×C412yes—
126C23×D11C22×C411yescharacteristic
127C2×D4×C11—22no—
128C2×D4×C11—22no—
129C2×D4×C11C22⋊C414yes—
130C22×C4×C11—22no—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—22no—
134C22×C4×C11C22×C411yescharacteristic
135C22×C4×C11C22×C412yes—
136C22×C4×C11C22×C411yescharacteristic
137C22×C4×C11C2×D414yes—
138C22×C4×C11C2×D414yes—
139C22×C4×C11C2411yescharacteristic
140C2×C22⋊D11—24no—
141C2×C22⋊D11—24no—
142C2×C22⋊D11—24no—
143C22×Dic11—24no—
144C22×Dic11—24no—
145C22×Dic11—42no—
146C22×Dic11C22×C411yescharacteristic
147C22×Dic11C22×C412yes—
148C22×Dic11C22×C411yescharacteristic
149C22×Dic11C22×C411yescharacteristic
150D4×D11—232no—
151C2×D44—22no—
152C2×D44—22no—
153C2×D44M1614yescomplemented
154C2×C4×D11—24no—
155C2×C4×D11—24no—
156C2×C4×D11—22no—
157C2×C4×D11—22no—
158C2×C4×D11—22no—
159C2×C4×D11—24no—
160C2×C4×D11—24no—
161C2×C4×D11—22no—
162C2×C4×D11—21no—
163C2×C4×D11—21no—
164C2×C4×D11—22no—
165C2×C4×D11—22no—
166C2×C4×D11—22no—
167C2×C4×D11—22no—
168C2×C4×D11—21no—
169C2×C4×D11—21no—
170C2×C4×D11—22no—
171C2×C4×D11—22no—
172C2×C4×D11—42no—
173C2×C4×D11—42no—
174C2×C4×D11—41no—
175C2×C4×D11—48no—
176C2×C4×D11—48no—
177C2×C4×D11—48no—
178C2×C4×D11—48no—
179C2×C4×D11M1614yescomplemented
180C2×C4×D11C2×D412yes—
181C2×C4×D11#4112yes—
182C11×M16—48no—
183C2×C8×C11—21no—
184C2×C8×C11—22no—
185C2×C8×C11—21no—
186C2×C8×C11—22no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—22no—
191C2×C8×C11C2×D412yescomplemented
192C11×C4⋊C4C22⋊C414yes—
193C11×C22⋊C4C22⋊C418yes—
194C42×C11C2×D412yes—
195C42×C11C2×D412yes—
196C22⋊Dic11—24no—
197(C2×D11)⋊C4—24no—
198(C2×D11)⋊C4—24no—
199C4⋊Dic11—22no—
200Dic11⋊C4—24no—
201C4×Dic11—22no—
202C4×Dic11—22no—
203C4×Dic11—21no—
204C4×Dic11—21no—
205#4318—48no—
206C2×C11⋊C8—21no—
207C2×C11⋊C8—21no—
208C2×C11⋊C8—22no—
209C2×C11⋊C8—22no—
210C2×C11⋊C8—21no—
211C2×C11⋊C8—21no—
212C2×C11⋊C8—21no—
213C2×C11⋊C8—22no—
214C2×C11⋊C8C2×D412yescomplemented
215C22×C4×D4—111no—
216C2×#436—111no—
217C2×#436D1111yescharacteristic, complemented
218C2×#407—112no—
219#1954—111no—
220#1954—111no—
221#1870—112no—
222#1870—112no—
223#1797—111no—
224#1779—112no—
225C4×C22⋊C8—111no—
226C23×C11—22no—
227C23×C11—22no—
228C23×C11—22no—
229C23×C11—22no—
230C23×C11—22no—
231C23×C11—22no—
232C23×C11C2×C22⋊C414yes—
233C23×C11C23×C411yescharacteristic
234C22×D11—21no—
235C22×D11—21no—
236C22×D11—21no—
237C22×D11—21no—
238C22×D11—216no—
239C22×D11—22no—
240C22×D11—22no—
241C22×D11—22no—
242C22×D11—22no—
243C22×D11—22no—
244C22×D11—22no—
245C22×D11—48no—
246C22×D11—48no—
247C22×D11—48no—
248C22×D11—48no—
249C22×D11—48no—
250C22×D11—48no—
251C22×D11C4×D412yes—
252C22×D11C2×M1614yes—
253C22×D11C2×M1612yes—
254C22×D11#13112yes—
255D4×C11—28no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—24no—
261C2×C4×C11—24no—
262C2×C4×C11—24no—
263C2×C4×C11—24no—
264C2×C4×C11C2×C22⋊C412yes—
265C2×C4×C11C2×C22⋊C414yes—
266C2×C4×C11C2×C22⋊C412yes—
267C2×C4×C11C2×M1612yes—
268C2×C4×C11C2×M1612yes—
269C2×C4×C11C22×D411yescharacteristic
270C2×C4×C11C22×D411yescharacteristic
271C2×C4×C11C22×D411yescharacteristic
272C2×C4×C11C2×#4111yescharacteristic
273C2×C4×C11H(5,𝔽2)11yescharacteristic
274C2×C4×C11H(5,𝔽2)11yescharacteristic
275C22⋊D11—216no—
276C2×Dic11—21no—
277C2×Dic11—21no—
278C2×Dic11—21no—
279C2×Dic11—21no—
280C2×Dic11—21no—
281C2×Dic11—22no—
282C2×Dic11—22no—
283C2×Dic11—22no—
284C2×Dic11—21no—
285C2×Dic11—21no—
286C2×Dic11—48no—
287C2×Dic11C4×D412yes—
288C2×Dic11C2×M1612yes—
289D44—28no—
290C4×D11—22no—
291C4×D11—22no—
292C4×D11—22no—
293C4×D11—22no—
294C4×D11—28no—
295C4×D11—48no—
296C4×D11—44no—
297C4×D11—48no—
298C4×D11—42no—
299C4×D11—42no—
300C4×D11—42no—
301C4×D11—42no—
302C8×C11—22no—
303C8×C11—42no—
304C8×C11—41no—
305C11⋊C8—22no—
306C11⋊C8—42no—
307C11⋊C8—41no—
308C23×D4—111no—
309C24×C4—112no—
310C22×M16—112no—
311C22×M16C2×D1112yescomplemented
312C2×C4×D4—111no—
313C2×C4×D4—112no—
314C2×C4×D4—111no—
315C2×C4×D4—112no—
316C2×C4×D4—111no—
317C2×C4×D4—224no—
318C2×C4×D4—224no—
319C2×C4×D4C2×D1111yescharacteristic
320C22×C4⋊C4—111no—
321C22×C22⋊C4—112no—
322C22×C42—111no—
323#436—24no—
324#436—224no—
325C2×C4⋊C8—111no—
326C2×C4⋊C8C2×D1111yescharacteristic, complemented
327#407—228no—
328C2×C22⋊C8—111no—
329C2×C22⋊C8—112no—
330C2×C22⋊C8—112no—
331C2×C22⋊C8—111no—
332C2×C22⋊C8—112no—
333C2×C22⋊C8—112no—
334C2×C22⋊C8—112no—
335C2×C22⋊C8—112no—
336C2×C22⋊C8C2×D1112yescomplemented
337C2×C4×C8—111no—
338C2×C4×C8C2×D1111yescharacteristic, complemented
339#336—112no—
340#336—111no—
341#336—111no—
342C22×C11—24no—
343C22×C11—24no—
344C22×C11—24no—
345C22×C11—42no—
346C22×C11—42no—
347C22×C11—42no—
348C22×C11—42no—
349C22×C11C22×C22⋊C411yescharacteristic
350C22×C11C2×C4×D411yescharacteristic
351C22×C11#51811yescharacteristic
352C22×C11C22×M1611yescharacteristic
353C22×C11C22×M1611yescharacteristic
354C22×C11C2×#13111yescharacteristic
355C22×C11#56811yescharacteristic
356C2×D11—22no—
357C2×D11—22no—
358C2×D11—22no—
359C2×D11—22no—
360C2×D11—22no—
361C2×D11—22no—
362C2×D11—24no—
363C2×D11—24no—
364C2×D11—24no—
365C2×D11—432no—
366C2×D11—42no—
367C2×D11—42no—
368C2×D11—42no—
369C2×D11—42no—
370C2×D11#43614yescomplemented
371C4×C11—24no—
372C4×C11—22no—
373C4×C11#40714yescomplemented
374C4×C11D4211yescharacteristic
375C4×C11D4211yescharacteristic
376C4×C11#54611yescharacteristic
377C4×C11#54611yescharacteristic
378Dic11—22no—
379Dic11—22no—
380Dic11—42no—
381Dic11—41no—
382C25—112no—
383C22×D4—112no—
384C22×D4—111no—
385C22×D4—224no—
386C22×D4—224no—
387C22×D4—224no—
388C22×D4C4×D1111yescharacteristic
389C23×C4—111no—
390C23×C4—111no—
391C23×C4—112no—
392C23×C4—112no—
393C23×C4—111no—
394C23×C4—112no—
395C23×C4—112no—
396C23×C4—224no—
397C23×C4—224no—
398C23×C4—224no—
399C23×C4—224no—
400C23×C4—442no—
401C23×C4—442no—
402C23×C4C22×D1112yes—
403C2×M16—24no—
404C2×M16—24no—
405C2×M16—42no—
406C2×M16—224no—
407C2×M16—224no—
408C2×M16—442no—
409C22×C8—111no—
410C22×C8—112no—
411C22×C8—111no—
412C22×C8C22×D1112yes—
413C22×C8C22×D1111yescharacteristic
414C22×C8C22×D1111yescharacteristic
415C4×D4—224no—
416C4×D4—224no—
417C4×D4—224no—
418C4×D4—224no—
419C4×D4—228no—
420C4×D4—222no—
421C4×D4—222no—
422C4×D4D4414yes—
423C4×D4C22⋊D1114yes—
424C2×C4⋊C4—112no—
425C2×C4⋊C4—111no—
426C2×C4⋊C4—224no—
427C2×C4⋊C4C4×D1111yescharacteristic
428C2×C22⋊C4—112no—
429C2×C22⋊C4—112no—
430C2×C22⋊C4—112no—
431C2×C22⋊C4—228no—
432C2×C22⋊C4C4×D1112yes—
433C2×C42—111no—
434C2×C42—111no—
435C2×C42—111no—
436C2×C42—222no—
437C2×C42—222no—
438C2×C42C22×D1111yescharacteristic
439C4⋊C8—22no—
440C4⋊C8—222no—
441C22⋊C8—24no—
442C22⋊C8—114no—
443C22⋊C8—224no—
444C22⋊C8—222no—
445C22⋊C8—224no—
446C22⋊C8—224no—
447C22⋊C8—224no—
448C22⋊C8—442no—
449C22⋊C8—442no—
450C4×C8—22no—
451C4×C8—222no—
452C2×C11—44no—
453C2×C11D4×C22⋊C411yescharacteristic
454C2×C11C2×#40711yescharacteristic
455C2×C11#288011yescharacteristic
456C2×C11C2×#43611yescharacteristic
457C2×C11D4×M1611yescharacteristic
458C2×C11#297411yescharacteristic
459C2×C11#297511yescharacteristic
460D11—24no—
461D11—44no—
462C24—111no—
463C24—112no—
464C24—224no—
465C24—224no—
466C24—224no—
467C24—224no—
468C24—224no—
469C24—442no—
470C24—442no—
471C24C2×C4×D1112yes—
472C2×D4—22no—
473C2×D4—22no—
474C2×D4—114no—
475C2×D4—224no—
476C2×D4—2232no—
477C2×D4—224no—
478C2×D4—224no—
479C2×D4—222no—
480C2×D4—222no—
481C2×D4(C2×D11)⋊C414yes—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—111no—
487C22×C4—111no—
488C22×C4—114no—
489C22×C4—112no—
490C22×C4—112no—
491C22×C4—111no—
492C22×C4—112no—
493C22×C4—224no—
494C22×C4—224no—
495C22×C4—222no—
496C22×C4—224no—
497C22×C4—222no—
498C22×C4—222no—
499C22×C4—221no—
500C22×C4—221no—
501C22×C4—221no—
502C22×C4—221no—
503C22×C4—224no—
504C22×C4—222no—
505C22×C4—224no—
506C22×C4—224no—
507C22×C4—222no—
508C22×C4—222no—
509C22×C4—222no—
510C22×C4—222no—
511C22×C4—222no—
512C22×C4—222no—
513C22×C4—442no—
514C22×C4—442no—
515C22×C4—441no—
516C22×C4—448no—
517C22×C4—448no—
518C22×C4—448no—
519C22×C4—448no—
520C22×C4—442no—
521C22×C4C2×C4×D1111yescharacteristic
522C22×C4C2×C4×D1112yes—
523C22×C4C2×C4×D1111yescharacteristic
524C22×C4C2×D4414yes—
525C22×C4C2×C22⋊D1114yes—
526C22×C4C23×D1111yescharacteristic
527M16—48no—
528M16—448no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—22no—
537C2×C8—112no—
538C2×C8—221no—
539C2×C8—221no—
540C2×C8—221no—
541C2×C8—222no—
542C2×C8—222no—
543C2×C8—221no—
544C2×C8—221no—
545C2×C8—222no—
546C2×C8D4×D1112yescomplemented
547C4⋊C4—224no—
548C4⋊C4—222no—
549C4⋊C4(C2×D11)⋊C414yes—
550C22⋊C4—224no—
551C22⋊C4—224no—
552C22⋊C4—224no—
553C22⋊C4(C2×D11)⋊C418yes—
554C42—222no—
555C42—222no—
556C42—221no—
557C42—221no—
558C42C2×D4412yes—
559C42C2×C22⋊D1112yes—
560C11#2240111yescharacteristic, complemented, Sylow
561C23—22no—
562C23—22no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—112no—
568C23—112no—
569C23—112no—
570C23—114no—
571C23—2216no—
572C23—221no—
573C23—221no—
574C23—221no—
575C23—221no—
576C23—222no—
577C23—222no—
578C23—222no—
579C23—222no—
580C23—222no—
581C23—222no—
582C23—448no—
583C23—448no—
584C23—448no—
585C23—448no—
586C23—448no—
587C23—448no—
588C23C2×(C2×D11)⋊C414yes—
589C23C22×C4×D1111yescharacteristic
590D4—28no—
591D4—2216no—
592D4—228no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—112no—
602C2×C4—112no—
603C2×C4—221no—
604C2×C4—221no—
605C2×C4—221no—
606C2×C4—221no—
607C2×C4—228no—
608C2×C4—222no—
609C2×C4—222no—
610C2×C4—222no—
611C2×C4—222no—
612C2×C4—221no—
613C2×C4—221no—
614C2×C4—221no—
615C2×C4—222no—
616C2×C4—222no—
617C2×C4—222no—
618C2×C4—448no—
619C2×C4—448no—
620C2×C4—444no—
621C2×C4—448no—
622C2×C4—442no—
623C2×C4—442no—
624C2×C4—442no—
625C2×C4—442no—
626C2×C4M16×D1112yes—
627C2×C4M16×D1112yes—
628C2×C4C2×(C2×D11)⋊C412yes—
629C2×C4C2×(C2×D11)⋊C414yes—
630C2×C4C2×(C2×D11)⋊C412yes—
631C2×C4C22×D4411yescharacteristic
632C2×C4C2×D4×D1111yescharacteristic
633C2×C4#6703711yescharacteristic
634C2×C4#41×D1111yescharacteristic
635C2×C4#6704211yescharacteristic
636C2×C4C22×C22⋊D1111yescharacteristic
637C8—22no—
638C8—42no—
639C8—41no—
640C8—222no—
641C8—442no—
642C8—441no—
643C22—24no—
644C22—24no—
645C22—24no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—114no—
651C22—222no—
652C22—222no—
653C22—222no—
654C22—222no—
655C22—222no—
656C22—222no—
657C22—224no—
658C22—224no—
659C22—224no—
660C22—4432no—
661C22—442no—
662C22—442no—
663C22—442no—
664C22—442no—
665C22C4×D4×D1111yescharacteristic
666C22#1062307611yescharacteristic
667C22C2×M16×D1111yescharacteristic
668C22C2×M16×D1111yescharacteristic
669C22D11×#13111yescharacteristic
670C22#1062328111yescharacteristic
671C22C22×(C2×D11)⋊C411yescharacteristic
672C4—22no—
673C4—24no—
674C4—222no—
675C4—222no—
676C4—441no—
677C4—442no—
678C4#1062273914yescomplemented
679C4D4×D4411yescharacteristic
680C4#1062308511yescharacteristic
681C4D4×C22⋊D1111yescharacteristic
682C4#1062336011yescharacteristic
683C2—44no—
684C2—224no—
685C2—444no—
686C2D4×(C2×D11)⋊C411yescharacteristic
687C2C2×#1062273911yescharacteristic
688C2#1307706311yescharacteristic
689C2D11×#43611yescharacteristic
690C2#1307735211yescharacteristic
691C2#1307764811yescharacteristic
692C2#1307765411yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D11
commutator, socleC23×C11C23×C4
FittingC2×C11×#436C2
prime radicalC22×D4×D11C4
cosocleC22×C4×C11C24
hypercenterC2×#436D11
hypocenterC11#22401
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C2×#436

Complements

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

NH ≅ G/Ntype
2. C2×#10622625C2semidirect
3. C2×#10622739C2semidirect
4. #13069410C2semidirect
5. #13069409C2semidirect
6. #13068913C2semidirect
7. #13068911C2semidirect
8. #13068593C2semidirect
9. #13068525C2semidirect
10. C4×(C2×D11)⋊C8C2semidirect
11. C2×C11×#436C2semidirect
14. C22×C11×M16C22semidirect
18. C22×#4318C22semidirect
28. C2×C11×C4⋊C8C22semidirect
29. C2×C11×C22⋊C8C22semidirect
30. C2×C4×C8×C11C22semidirect
31. C2×C22⋊(C11⋊C8)C22semidirect
36. C2×(C2×D11)⋊C8C22semidirect
37. C2×(C2×D11)⋊C8C22semidirect
38. C2×(C2×D11)⋊C8C22semidirect
39. C2×(C2×D11)⋊C8C22semidirect
41. C2×C4⋊(C11⋊C8)C22semidirect
42. C2×C4×C11⋊C8C22semidirect
43. #10622188C22semidirect
44. #10622188C22semidirect
45. #10622188C22semidirect
113. (C2×D11)⋊C8D4semidirect
153. C2×D44M16semidirect
179. C2×C4×D11M16semidirect
191. C2×C8×C11C2×D4semidirect
214. C2×C11⋊C8C2×D4semidirect
217. C2×#436D11semidirect
311. C22×M16C2×D11semidirect
326. C2×C4⋊C8C2×D11semidirect
336. C2×C22⋊C8C2×D11semidirect
338. C2×C4×C8C2×D11semidirect
370. C2×D11#436semidirect
373. C4×C11#407semidirect
546. C2×C8D4×D11semidirect
560. C11#22401semidirect
678. C4#10622739semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D112
C2×#106226252
C2×#106227392
#130694102
#130694092
#130689132
#130689112
#130685932
#130685252
C4×(C2×D11)⋊C82
C2×C11×#4362
#2240111