Finite Group Databasebeta

← #14754517

Subgroups — #14754517

Order 2816.

1630 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#117C211yesmaximal, characteristic
2C2×#10622577C211yesmaximal, characteristic, complemented
3C2×#10622739C211yesmaximal, characteristic
4C2×#10622600C211yesmaximal, characteristic
5#13068814C212yesmaximal, complemented
6#13068812C212yesmaximal, complemented
7#13068807C212yesmaximal, complemented
8#13068802C212yesmaximal, complemented
9#13068337C211yesmaximal, characteristic, complemented
10#13068336C211yesmaximal, characteristic, complemented
11C2×C11×#428C211yesmaximal, characteristic, complemented
12C23×C4×D11C2211yescharacteristic
13C22×C11×M16C2211yescharacteristic
14C2×C11×#117C2211yescharacteristic
15C22×C11×C4⋊C4C2211yescharacteristic
16C22×(C2×D11)⋊C4—21no—
17C2×#66979C2211yescharacteristic
18C22×C4⋊Dic11C2211yescharacteristic
19C22×#4318C2211yescharacteristic
20D11×#117—24no—
21D11×#117—24no—
22C2×#66945C2211yescharacteristic
23C2×#66945C2211yescharacteristic
24C2×C4⋊C4×D11C2211yescharacteristic
25C2×C4⋊C4×D11C2211yescharacteristic
26C2×C22⋊C4×D11—21no—
27C2×#66930—21no—
28C2×#66925—21no—
29C2×C42×D11—21no—
30C11×#428—24no—
31C2×C11×#107C2212yescomplemented
32C2×C11×#106C2212yescomplemented
33C2×C11⋊#95—21no—
34#10622739C418yescomplemented
35C2×(C2×D11)⋊C8C2212yes—
36C2×(C2×D11)⋊C8C2212yes—
37#10622600—21no—
38#10622600—21no—
39#10622600C2212yes—
40#10622600C2212yes—
41#10622577—24no—
42C2×#66872C2212yescomplemented
43C2×#66871C2212yescomplemented
44#10622189C2212yescomplemented
45#10622189C2212yescomplemented
46#10622167C2212yescomplemented
47#10622167C2212yescomplemented
48C24×D11D411yescharacteristic
49C23×C4×C11—21no—
50C23×C4×C11C2311yescharacteristic
51C23×Dic11—21no—
52C23×Dic11D411yescharacteristic
53C22×C4×D11—22no—
54C22×C4×D11—22no—
55C22×C4×D11—22no—
56C22×C4×D11—22no—
57C22×C4×D11—21no—
58C22×C4×D11—21no—
59C22×C4×D11C2×C414yes—
60C22×C4×D11D411yescharacteristic
61C22×C4×D11D411yescharacteristic
62C22×C4×D11Q814yes—
63C22×C4×D11C2311yescharacteristic
64C22×C4×D11C2311yescharacteristic
65C2×C11×M16—22no—
66C2×C11×M16—22no—
67C2×C11×M16C2×C414yescomplemented
68C22×C8×C11C2312yes—
69C11×#117—22no—
70C11×#117D414yes—
71C2×C11×C4⋊C4—22no—
72C2×C11×C4⋊C4—22no—
73C2×C11×C4⋊C4—21no—
74C2×C11×C4⋊C4C2312yes—
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C22⋊C4—21no—
78C2×C42×C11—21no—
79C2×C22⋊Dic11—21no—
80C2×(C2×D11)⋊C4—21no—
81C2×(C2×D11)⋊C4—21no—
82C2×(C2×D11)⋊C4—22no—
83C2×(C2×D11)⋊C4—22no—
84C2×(C2×D11)⋊C4—44no—
85#66979—22no—
86#66979D414yes—
87C2×C4⋊Dic11—22no—
88C2×C4⋊Dic11—22no—
89C2×C4⋊Dic11—21no—
90C2×C4⋊Dic11C2312yes—
91C2×C4⋊Dic11C2311yescharacteristic
92C2×C4⋊Dic11C2311yescharacteristic
93C2×Dic11⋊C4—21no—
94C2×Dic11⋊C4—21no—
95C2×C4×Dic11—21no—
96C2×C4×Dic11—21no—
97C2×C4×Dic11—21no—
98C2×#4318—22no—
99C2×#4318—22no—
100C2×#4318C2×C414yescomplemented
101C22×C11⋊C8C2312yes—
102#66945—22no—
103#66945—22no—
104#66945—22no—
105#66945—22no—
106C4⋊C4×D11—22no—
107C4⋊C4×D11—22no—
108C4⋊C4×D11—22no—
109C4⋊C4×D11—22no—
110C22⋊C4×D11—28no—
111#66930—28no—
112#66925—28no—
113C42×D11—28no—
114C11×#107—24no—
115C11×#106—24no—
116C11⋊#95—22no—
117C11⋊#95—22no—
118(C2×D11)⋊C8C2×C418yescomplemented
119(C2×D11)⋊C8C2×C418yescomplemented
120#66872—24no—
121#66871—24no—
122#20846—111nomaximal, Sylow
123C24×C11C2×D411yescharacteristic
124C23×D11—22no—
125C23×D11—22no—
126C23×D11—22no—
127C23×D11—22no—
128C23×D11—41no—
129C23×D11—41no—
130C23×D11C4⋊C414yes—
131C23×D11C2×D411yescharacteristic
132C23×D11C2×D411yescharacteristic
133C22×C4×C11—21no—
134C22×C4×C11—21no—
135C22×C4×C11—22no—
136C22×C4×C11—42no—
137C22×C4×C11—42no—
138C22×C4×C11—42no—
139C22×C4×C11C22×C412yes—
140C22×C4×C11C2×D411yescharacteristic
141C22×C4×C11C2×D412yes—
142C22×C4×C11C2×D412yes—
143C22×C4×C11C2×Q812yes—
144C22×C4×C11#4112yes—
145C22×C4×C11#4112yes—
146C22×C4×C11C2411yescharacteristic
147C22×Dic11—22no—
148C22×Dic11—22no—
149C22×Dic11—21no—
150C22×Dic11—21no—
151C22×Dic11—22no—
152C22×Dic11—42no—
153C22×Dic11—42no—
154C22×Dic11—42no—
155C22×Dic11C4⋊C414yes—
156C22×Dic11C2×D411yescharacteristic
157C22×Dic11C2×D411yescharacteristic
158C2×C4×D11—24no—
159C2×C4×D11—24no—
160C2×C4×D11—28no—
161C2×C4×D11—28no—
162C2×C4×D11—22no—
163C2×C4×D11—22no—
164C2×C4×D11—28no—
165C2×C4×D11—28no—
166C2×C4×D11—22no—
167C2×C4×D11—22no—
168C2×C4×D11—21no—
169C2×C4×D11—21no—
170C2×C4×D11—21no—
171C2×C4×D11—21no—
172C2×C4×D11—21no—
173C2×C4×D11—21no—
174C2×C4×D11—21no—
175C2×C4×D11—21no—
176C2×C4×D11—42no—
177C2×C4×D11—42no—
178C2×C4×D11—42no—
179C2×C4×D11—42no—
180C2×C4×D11C4⋊C414yes—
181C2×C4×D11C4⋊C414yes—
182C2×C4×D11C22×C412yes—
183C2×C4×D11C22×C412yes—
184C2×C4×D11C2×Q812yes—
185C2×C4×D11C2×Q812yes—
186C11×M16—28no—
187C2×C8×C11—22no—
188C2×C8×C11—22no—
189C2×C8×C11C22×C414yes—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—22no—
193C11×C4⋊C4—22no—
194C11×C4⋊C4—42no—
195C11×C4⋊C4C2×D412yes—
196C11×C4⋊C4C2×D412yes—
197C11×C22⋊C4—24no—
198C42×C11—24no—
199C22⋊Dic11—24no—
200(C2×D11)⋊C4—24no—
201(C2×D11)⋊C4—24no—
202(C2×D11)⋊C4—44no—
203(C2×D11)⋊C4—44no—
204C4⋊Dic11—21no—
205C4⋊Dic11—21no—
206C4⋊Dic11—22no—
207C4⋊Dic11—22no—
208C4⋊Dic11—42no—
209C4⋊Dic11C2×D412yes—
210C4⋊Dic11C2×D412yes—
211Dic11⋊C4—24no—
212Dic11⋊C4—24no—
213C4×Dic11—24no—
214C4×Dic11—24no—
215C4×Dic11—24no—
216#4318—28no—
217C2×C11⋊C8—22no—
218C2×C11⋊C8—22no—
219C2×C11⋊C8C22×C414yes—
220C22×#117—111no—
221C2×#428—111no—
222C2×#428D1111yescharacteristic, complemented
223C2×#407—111no—
224C2×#380—111no—
225#1854—112no—
226#1854—112no—
227#1853—112no—
228#1852—112no—
229#1736—111no—
230#1736—111no—
231C23×C11—21no—
232C23×C11—21no—
233C23×C11—21no—
234C23×C11—21no—
235C23×C11C2×C4⋊C412yes—
236C23×C11#12012yes—
237C23×C11#12312yes—
238C23×C11C22×D411yescharacteristic
239C22×D11—21no—
240C22×D11—21no—
241C22×D11—21no—
242C22×D11—21no—
243C22×D11—21no—
244C22×D11—21no—
245C22×D11—21no—
246C22×D11—21no—
247C22×D11—21no—
248C22×D11—21no—
249C22×D11—28no—
250C22×D11—28no—
251C22×D11—44no—
252C22×D11—44no—
253C22×D11—44no—
254C22×D11—44no—
255C22×D11—44no—
256C22×D11C2×C4⋊C412yes—
257C22×D11C2×C4⋊C412yes—
258C22×D11AGL(1,ℤ/8)12yes—
259C22×D11#13712yes—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—41no—
263C2×C4×C11—41no—
264C2×C4×C11—41no—
265C2×C4×C11—41no—
266C2×C4×C11—42no—
267C2×C4×C11—42no—
268C2×C4×C11—42no—
269C2×C4×C11—84no—
270C2×C4×C11C2×C4⋊C412yes—
271C2×C4×C11C4×D414yes—
272C2×C4×C11C4×D414yes—
273C2×C4×C11#12012yes—
274C2×C4×C11C22⋊Q814yes—
275C2×C4×C11C22⋊Q814yes—
276C2×C4×C11#12312yes—
277C2×C4×C11C23×C411yescharacteristic
278C2×C4×C11C22×D411yescharacteristic
279C2×C4×C11C22×D411yescharacteristic
280C2×C4×C11C22×Q811yescharacteristic
281C2×C4×C11C2×#4111yescharacteristic
282C2×C4×C11C2×#4111yescharacteristic
283C2×Dic11—21no—
284C2×Dic11—21no—
285C2×Dic11—21no—
286C2×Dic11—21no—
287C2×Dic11—28no—
288C2×Dic11—22no—
289C2×Dic11—22no—
290C2×Dic11—41no—
291C2×Dic11—41no—
292C2×Dic11—41no—
293C2×Dic11—41no—
294C2×Dic11—42no—
295C2×Dic11—42no—
296C2×Dic11—42no—
297C2×Dic11—84no—
298C2×Dic11C2×C4⋊C412yes—
299C2×Dic11C2×C4⋊C412yes—
300C4×D11—22no—
301C4×D11—22no—
302C4×D11—22no—
303C4×D11—22no—
304C4×D11—22no—
305C4×D11—22no—
306C4×D11—22no—
307C4×D11—22no—
308C4×D11—28no—
309C4×D11—28no—
310C4×D11—48no—
311C4×D11—48no—
312C8×C11—24no—
313C11⋊C8—24no—
314C24×C4—111no—
315C22×M16—111no—
316C22×M16C2×D1111yescharacteristic
317C2×#117—111no—
318C2×#117—111no—
319C2×#117—111no—
320C2×#117—221no—
321C2×#117—221no—
322C2×#117—224no—
323C2×#117—224no—
324C2×#117C2×D1111yescharacteristic
325C22×C4⋊C4—111no—
326C22×C4⋊C4—111no—
327C22×C4⋊C4—111no—
328C22×C4⋊C4C2×D1111yescharacteristic
329C22×C22⋊C4—221no—
330C22×C22⋊C4—221no—
331C22×C42—221no—
332#428—24no—
333#428—224no—
334C2×#107—112no—
335C2×#107C2×D1112yescomplemented
336C2×#106—112no—
337C2×#106C2×D1112yescomplemented
338#407—118no—
339C2×C22⋊C8—112no—
340C2×C22⋊C8—112no—
341#380—112no—
342#380—112no—
343#380—221no—
344#380—221no—
345C2×#95—221no—
346#340—112no—
347#340—112no—
348#340—112no—
349#340—112no—
350C22×C11—22no—
351C22×C11—22no—
352C22×C11—22no—
353C22×C11—22no—
354C22×C11—22no—
355C22×C11—22no—
356C22×C11#38514yes—
357C22×C11C22×C4⋊C411yescharacteristic
358C22×C11C2×#12011yescharacteristic
359C22×C11C2×#12311yescharacteristic
360C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
361C22×C11C2×#13711yescharacteristic
362C22×C11#57511yescharacteristic
363C22×C11#57511yescharacteristic
364C2×D11—22no—
365C2×D11—22no—
366C2×D11—22no—
367C2×D11—22no—
368C2×D11—22no—
369C2×D11—22no—
370C2×D11—22no—
371C2×D11—22no—
372C2×D11—22no—
373C2×D11—416no—
374C2×D11—41no—
375C2×D11—41no—
376C2×D11—41no—
377C2×D11—41no—
378C2×D11#42814yescomplemented
379C4×C11—42no—
380C4×C11—42no—
381C4×C11—82no—
382C4×C11#38514yes—
383C4×C11C2×C4×D411yescharacteristic
384C4×C11C2×C4×D411yescharacteristic
385C4×C11C2×C22⋊Q811yescharacteristic
386C4×C11C2×C22⋊Q811yescharacteristic
387Dic11—22no—
388Dic11—22no—
389Dic11—42no—
390Dic11—42no—
391Dic11—82no—
392C25—111no—
393C23×C4—21no—
394C23×C4—111no—
395C23×C4—114no—
396C23×C4—111no—
397C23×C4—111no—
398C23×C4—114no—
399C23×C4—111no—
400C23×C4—111no—
401C23×C4—221no—
402C23×C4—221no—
403C23×C4—222no—
404C23×C4—222no—
405C23×C4—222no—
406C23×C4—222no—
407C23×C4—221no—
408C23×C4C22×D1111yescharacteristic
409C2×M16—22no—
410C2×M16—22no—
411C2×M16—114no—
412C2×M16—222no—
413C2×M16—222no—
414C2×M16C4×D1114yescomplemented
415C22×C8—112no—
416C22×C8C22×D1112yes—
417#117—22no—
418#117—114no—
419#117—228no—
420#117—228no—
421#117—222no—
422#117—222no—
423#117—222no—
424#117—222no—
425#117—222no—
426#117C22⋊D1114yes—
427C2×C4⋊C4—22no—
428C2×C4⋊C4—22no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—111no—
431C2×C4⋊C4—111no—
432C2×C4⋊C4—112no—
433C2×C4⋊C4—222no—
434C2×C4⋊C4—222no—
435C2×C4⋊C4—221no—
436C2×C4⋊C4—221no—
437C2×C4⋊C4—222no—
438C2×C4⋊C4—222no—
439C2×C4⋊C4—222no—
440C2×C4⋊C4—222no—
441C2×C4⋊C4—221no—
442C2×C4⋊C4C22×D1112yes—
443C2×C4⋊C4C22×D1111yescharacteristic
444C2×C4⋊C4C22×D1111yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—228no—
447C2×C22⋊C4—221no—
448C2×C22⋊C4—221no—
449C2×C22⋊C4—221no—
450C2×C22⋊C4—222no—
451C2×C22⋊C4—222no—
452C2×C22⋊C4—444no—
453C2×C42—21no—
454C2×C42—228no—
455C2×C42—221no—
456C2×C42—221no—
457C2×C42—221no—
458#107—24no—
459#107—224no—
460#106—24no—
461#106—224no—
462C22⋊C8—118no—
463C22⋊C8—118no—
464#95—222no—
465#95—222no—
466C2×C11—24no—
467C2×C11C2×#38511yescharacteristic
468C2×C11C2×#42811yescharacteristic
469C2×C11#291111yescharacteristic
470C2×C11#300611yescharacteristic
471C2×C11#300711yescharacteristic
472C2×C11#309411yescharacteristic
473C2×C11#309511yescharacteristic
474D11—24no—
475D11—42no—
476C24—111no—
477C24—111no—
478C24—114no—
479C24—222no—
480C24—222no—
481C24—222no—
482C24—222no—
483C24—441no—
484C24—441no—
485C24D4×D1111yescharacteristic
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—22no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—114no—
493C22×C4—111no—
494C22×C4—111no—
495C22×C4—114no—
496C22×C4—114no—
497C22×C4—112no—
498C22×C4—112no—
499C22×C4—112no—
500C22×C4—112no—
501C22×C4—224no—
502C22×C4—224no—
503C22×C4—222no—
504C22×C4—222no—
505C22×C4—228no—
506C22×C4—222no—
507C22×C4—222no—
508C22×C4—228no—
509C22×C4—228no—
510C22×C4—222no—
511C22×C4—222no—
512C22×C4—228no—
513C22×C4—221no—
514C22×C4—221no—
515C22×C4—221no—
516C22×C4—221no—
517C22×C4—221no—
518C22×C4—221no—
519C22×C4—221no—
520C22×C4—221no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4—222no—
524C22×C4—442no—
525C22×C4—442no—
526C22×C4—442no—
527C22×C4—442no—
528C22×C4—442no—
529C22×C4—442no—
530C22×C4—442no—
531C22×C4C2×C4×D1112yes—
532C22×C4#433912yes—
533C22×C4D4×D1111yescharacteristic
534C22×C4D4×D1112yes—
535C22×C4Q8×D1112yes—
536C22×C4#434312yes—
537C22×C4C2×C22⋊D1112yes—
538C22×C4C23×D1111yescharacteristic
539M16—28no—
540M16—228no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—114no—
544C2×C8—222no—
545C2×C8—222no—
546C2×C8C2×C4×D1114yes—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—42no—
552C4⋊C4—112no—
553C4⋊C4—112no—
554C4⋊C4—224no—
555C4⋊C4—224no—
556C4⋊C4—221no—
557C4⋊C4—221no—
558C4⋊C4—222no—
559C4⋊C4—222no—
560C4⋊C4—442no—
561C4⋊C4C2×C22⋊D1112yes—
562C4⋊C4C2×C22⋊D1112yes—
563C22⋊C4—24no—
564C22⋊C4—224no—
565C22⋊C4—224no—
566C22⋊C4—224no—
567C22⋊C4—444no—
568C22⋊C4—444no—
569C42—24no—
570C42—224no—
571C42—224no—
572C42—224no—
573C11#2084611yescharacteristic, complemented, Sylow
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—112no—
579C23—112no—
580C23—112no—
581C23—112no—
582C23—228no—
583C23—221no—
584C23—221no—
585C23—221no—
586C23—221no—
587C23—221no—
588C23—221no—
589C23—221no—
590C23—221no—
591C23—221no—
592C23—221no—
593C23—228no—
594C23—444no—
595C23—444no—
596C23—444no—
597C23—444no—
598C23—444no—
599C23C4⋊C4×D1112yes—
600C23#6694712yes—
601C23#6699012yes—
602C23C2×D4×D1111yescharacteristic
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—84no—
613C2×C4—112no—
614C2×C4—112no—
615C2×C4—221no—
616C2×C4—221no—
617C2×C4—221no—
618C2×C4—221no—
619C2×C4—228no—
620C2×C4—222no—
621C2×C4—222no—
622C2×C4—222no—
623C2×C4—222no—
624C2×C4—222no—
625C2×C4—222no—
626C2×C4—222no—
627C2×C4—222no—
628C2×C4—228no—
629C2×C4—228no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—448no—
633C2×C4—448no—
634C2×C4—441no—
635C2×C4—441no—
636C2×C4—441no—
637C2×C4—441no—
638C2×C4—442no—
639C2×C4—442no—
640C2×C4—442no—
641C2×C4—884no—
642C2×C4C4⋊C4×D1112yes—
643C2×C4#6694614yes—
644C2×C4#6694712yes—
645C2×C4#6694914yes—
646C2×C4C4×C22⋊D1114yes—
647C2×C4#6699012yes—
648C2×C4#6699914yes—
649C2×C4C22×C4×D1111yescharacteristic
650C2×C4C2×#433911yescharacteristic
651C2×C4C2×D4×D1111yescharacteristic
652C2×C4C2×Q8×D1111yescharacteristic
653C2×C4C2×#434311yescharacteristic
654C2×C4C22×C22⋊D1111yescharacteristic
655C8—24no—
656C8—224no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—114no—
664C22—222no—
665C22—222no—
666C22—222no—
667C22—222no—
668C22—222no—
669C22—222no—
670C22—222no—
671C22—222no—
672C22—222no—
673C22—4416no—
674C22—441no—
675C22—441no—
676C22—441no—
677C22—441no—
678C22#1062260214yes—
679C22C2×C4⋊C4×D1111yescharacteristic
680C22C2×#6694711yescharacteristic
681C22D11×AGL(1,ℤ/8)11yescharacteristic
682C22#1062330411yescharacteristic
683C22D11×#13711yescharacteristic
684C22#1062330811yescharacteristic
685C22C2×#6699011yescharacteristic
686C4—42no—
687C4—42no—
688C4—82no—
689C4—222no—
690C4—222no—
691C4—442no—
692C4—442no—
693C4—882no—
694C4#1062260214yes—
695C4C2×#6694611yescharacteristic
696C4C2×#6694911yescharacteristic
697C4C2×C4×C22⋊D1111yescharacteristic
698C4C2×#6699911yescharacteristic
699C2—24no—
700C2—224no—
701C2—442no—
702C2C2×#1062260211yescharacteristic
703C2D11×#42811yescharacteristic
704C2#1307720311yescharacteristic
705C2#1307786411yescharacteristic
706C2#1307787211yescharacteristic
707C2#1307855811yescharacteristic
708C2#1307856611yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C11×#428C2
socleC23×C11C22×D4
prime radicalC24×D11D4
cosocleC22×C4×C11C24
hypercenterC2×#428D11
hypocenterC11#20846
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#10622577C2semidirect
5. #13068814C2semidirect
6. #13068812C2semidirect
7. #13068807C2semidirect
8. #13068802C2semidirect
9. #13068337C2semidirect
10. #13068336C2semidirect
11. C2×C11×#428C2semidirect
31. C2×C11×#107C22semidirect
32. C2×C11×#106C22semidirect
34. #10622739C4semidirect
42. C2×#66872C22semidirect
43. C2×#66871C22semidirect
44. #10622189C22semidirect
45. #10622189C22semidirect
46. #10622167C22semidirect
47. #10622167C22semidirect
67. C2×C11×M16C2×C4semidirect
100. C2×#4318C2×C4semidirect
118. (C2×D11)⋊C8C2×C4semidirect
119. (C2×D11)⋊C8C2×C4semidirect
222. C2×#428D11semidirect
335. C2×#107C2×D11semidirect
337. C2×#106C2×D11semidirect
378. C2×D11#428semidirect
414. C2×M16C4×D11semidirect
573. C11#20846semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1172
C2×#106225772
C2×#106227392
C2×#106226002
#130688142
#130688122
#130688072
#130688022
#130683372
#130683362
C2×C11×#4282
#2084611