Finite Group Databasebeta

← #14680946

Subgroups — #14680946

Order 2816.

2142 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊C4×D11C211yesmaximal, characteristic
2C2×#10622277C212yesmaximal
3C2×#10622280C211yesmaximal, characteristic
4C2×#10622600C211yesmaximal, characteristic
5#13066870C211yesmaximal, characteristic, complemented
6#13066869C211yesmaximal, characteristic, complemented
7#13066868C212yesmaximal, complemented
8#13066867C212yesmaximal, complemented
9#13066866C211yesmaximal, characteristic, complemented
10(C2×D11)⋊#95C212yesmaximal
11C11×#1441C211yesmaximal, characteristic, complemented
12C23×C4×D11C2211yescharacteristic
13C23×C4×D11C2211yescharacteristic
14C23×C4×D11C2211yescharacteristic
15C22×C11×C4⋊C4C2211yescharacteristic
16C22×C11×C4⋊C4C2211yescharacteristic
17C22×(C2×D11)⋊C4C2212yes—
18C22×(C2×D11)⋊C4C2212yes—
19C22×C4⋊Dic11C2211yescharacteristic
20C22×C4⋊Dic11C2211yescharacteristic
21C22×Dic11⋊C4C2211yescharacteristic
22C22×Dic11⋊C4C2211yescharacteristic
23C22×Dic11⋊C4C2212yes—
24C2×C4⋊C4×D11—24no—
25C2×C4⋊C4×D11—24no—
26C2×C4⋊C4×D11C418yescomplemented
27C2×C11×#95C2212yes—
28C2×C11×#95C2211yescharacteristic
29C2×C11×#95C2212yes—
30C2×C11⋊#95C2212yes—
31C2×C11⋊#95C2211yescharacteristic
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C2×C11⋊#95C2212yes—
37C2×C11⋊#95C2212yes—
38#10622600—24no—
39#10622280—24no—
40#10622277—28no—
41C24×D11C2311yescharacteristic
42C23×C4×C11C2312yes—
43C23×C4×C11C2312yes—
44C23×C4×C11C2311yescharacteristic
45C23×C4×C11C2311yescharacteristic
46C23×C4×C11C2311yescharacteristic
47C23×Dic11C2312yes—
48C23×Dic11C2312yes—
49C23×Dic11C2311yescharacteristic
50C23×Dic11C2311yescharacteristic
51C23×Dic11C2311yescharacteristic
52C22×C4×D11—22no—
53C22×C4×D11—22no—
54C22×C4×D11—22no—
55C22×C4×D11—22no—
56C22×C4×D11—22no—
57C22×C4×D11—22no—
58C22×C4×D11—42no—
59C22×C4×D11—42no—
60C22×C4×D11—42no—
61C22×C4×D11—42no—
62C22×C4×D11C2×C414yes—
63C22×C4×D11C2×C414yes—
64C22×C4×D11C2×C414yes—
65C22×C4×D11D414yes—
66C22×C4×D11D414yes—
67C22×C4×D11D414yes—
68C22×C4×D11Q814yes—
69C2×C11×C4⋊C4—22no—
70C2×C11×C4⋊C4—22no—
71C2×C11×C4⋊C4—22no—
72C2×C11×C4⋊C4—42no—
73C2×C11×C4⋊C4C2×C414yes—
74C2×(C2×D11)⋊C4—24no—
75C2×(C2×D11)⋊C4—24no—
76C2×(C2×D11)⋊C4—24no—
77C2×(C2×D11)⋊C4—24no—
78C2×(C2×D11)⋊C4—24no—
79C2×(C2×D11)⋊C4—24no—
80C2×C4⋊Dic11—22no—
81C2×C4⋊Dic11—22no—
82C2×C4⋊Dic11—22no—
83C2×C4⋊Dic11—42no—
84C2×C4⋊Dic11C2×C414yes—
85C2×Dic11⋊C4—22no—
86C2×Dic11⋊C4—22no—
87C2×Dic11⋊C4—22no—
88C2×Dic11⋊C4—22no—
89C2×Dic11⋊C4—24no—
90C2×Dic11⋊C4—42no—
91C2×Dic11⋊C4—42no—
92C2×Dic11⋊C4C2×C414yes—
93C2×Dic11⋊C4C2×C414yes—
94C4⋊C4×D11—232no—
95C11×#95—24no—
96C11×#95—22no—
97C11×#95—42no—
98C11⋊#95—24no—
99C11⋊#95—22no—
100C11⋊#95—24no—
101C11⋊#95—24no—
102C11⋊#95—24no—
103C11⋊#95—42no—
104C11⋊#95—42no—
105C11⋊#95—42no—
106#14339—111nomaximal, Sylow
107C24×C11C2411yescharacteristic
108C23×D11—22no—
109C23×D11—22no—
110C23×D11—22no—
111C23×D11—22no—
112C23×D11C22×C412yes—
113C23×D11C2×D412yes—
114C23×D11C2×D412yes—
115C23×D11C2×D412yes—
116C23×D11C2×Q812yes—
117C23×D11#4112yes—
118C23×D11#4112yes—
119C22×C4×C11—21no—
120C22×C4×C11—21no—
121C22×C4×C11—21no—
122C22×C4×C11—21no—
123C22×C4×C11—22no—
124C22×C4×C11—22no—
125C22×C4×C11—21no—
126C22×C4×C11—21no—
127C22×C4×C11—22no—
128C22×C4×C11—22no—
129C22×C4×C11—22no—
130C22×C4×C11—22no—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—22no—
134C22×C4×C11—22no—
135C22×C4×C11—22no—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11—22no—
142C22×C4×C11—22no—
143C22×C4×C11C22×C412yes—
144C22×C4×C11C22×C412yes—
145C22×C4×C11C22×C412yes—
146C22×C4×C11C2×D412yes—
147C22×C4×C11C2×D412yes—
148C22×C4×C11C2×D412yes—
149C22×C4×C11C2×Q812yes—
150C22×Dic11—21no—
151C22×Dic11—21no—
152C22×Dic11—21no—
153C22×Dic11—21no—
154C22×Dic11—22no—
155C22×Dic11—22no—
156C22×Dic11—22no—
157C22×Dic11—22no—
158C22×Dic11—21no—
159C22×Dic11—21no—
160C22×Dic11—22no—
161C22×Dic11—22no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—22no—
165C22×Dic11—22no—
166C22×Dic11—22no—
167C22×Dic11—22no—
168C22×Dic11—22no—
169C22×Dic11—22no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11C22×C412yes—
175C22×Dic11C22×C412yes—
176C22×Dic11C22×C412yes—
177C22×Dic11C2×D412yes—
178C22×Dic11C2×D412yes—
179C22×Dic11C2×D412yes—
180C22×Dic11C2×Q812yes—
181C2×C4×D11—28no—
182C2×C4×D11—28no—
183C2×C4×D11—28no—
184C2×C4×D11—28no—
185C2×C4×D11—28no—
186C2×C4×D11—28no—
187C2×C4×D11—28no—
188C2×C4×D11—48no—
189C2×C4×D11—48no—
190C2×C4×D11—44no—
191C2×C4×D11—44no—
192C2×C4×D11—48no—
193C2×C4×D11—44no—
194C2×C4×D11—48no—
195C2×C4×D11—44no—
196C2×C4×D11C22⋊C4116yes—
197C2×C4×D11C4⋊C4116yescomplemented
198C11×C4⋊C4—28no—
199C11×C4⋊C4—44no—
200(C2×D11)⋊C4—48no—
201(C2×D11)⋊C4—48no—
202C4⋊Dic11—28no—
203C4⋊Dic11—44no—
204Dic11⋊C4—28no—
205Dic11⋊C4—28no—
206Dic11⋊C4—48no—
207C23×C4⋊C4—111no—
208C2×#381—112no—
209C2×#380—111no—
210C2×#380—111no—
211#1441—112no—
212#1441—112no—
213#1441—111no—
214#1441—111no—
215#1441—111no—
216#1441D1111yescharacteristic, complemented
217C22⋊#95—112no—
218C23×C11C23×C411yescharacteristic
219C23×C11C22×D411yescharacteristic
220C23×C11C22×D411yescharacteristic
221C23×C11C22×D411yescharacteristic
222C23×C11C22×Q811yescharacteristic
223C23×C11C2×#4111yescharacteristic
224C23×C11C2×#4111yescharacteristic
225C23×C11H(5,𝔽2)12yes—
226C23×C11H(5,𝔽2)12yes—
227C23×C112−1+412yes—
228C23×C112−1+412yes—
229C22×D11—24no—
230C22×D11—24no—
231C22×D11—22no—
232C22×D11—24no—
233C22×D11—22no—
234C22×D11—22no—
235C22×D11—24no—
236C22×D11—22no—
237C22×D11—24no—
238C22×D11—24no—
239C22×D11—24no—
240C22×D11—24no—
241C22×D11—24no—
242C22×D11—24no—
243C22×D11—24no—
244C22×D11—24no—
245C22×D11C2×C22⋊C414yes—
246C22×D11C2×C4⋊C414yes—
247C22×D11#11714yes—
248C22×D11#12114yes—
249C22×D11#12114yes—
250C22×D11C22⋊Q814yes—
251C22×D11C22⋊Q814yes—
252C2×C4×C11—22no—
253C2×C4×C11—22no—
254C2×C4×C11—24no—
255C2×C4×C11—22no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—24no—
262C2×C4×C11—22no—
263C2×C4×C11—24no—
264C2×C4×C11—41no—
265C2×C4×C11—42no—
266C2×C4×C11—41no—
267C2×C4×C11—42no—
268C2×C4×C11—42no—
269C2×C4×C11—42no—
270C2×C4×C11—42no—
271C2×C4×C11—42no—
272C2×C4×C11—42no—
273C2×C4×C11—42no—
274C2×C4×C11—42no—
275C2×C4×C11—42no—
276C2×C4×C11—42no—
277C2×C4×C11—42no—
278C2×C4×C11—42no—
279C2×C4×C11—42no—
280C2×C4×C11—42no—
281C2×C4×C11C2×C22⋊C414yes—
282C2×C4×C11C2×C4⋊C414yes—
283C2×Dic11—22no—
284C2×Dic11—22no—
285C2×Dic11—24no—
286C2×Dic11—22no—
287C2×Dic11—22no—
288C2×Dic11—22no—
289C2×Dic11—22no—
290C2×Dic11—24no—
291C2×Dic11—22no—
292C2×Dic11—22no—
293C2×Dic11—22no—
294C2×Dic11—24no—
295C2×Dic11—41no—
296C2×Dic11—42no—
297C2×Dic11—41no—
298C2×Dic11—42no—
299C2×Dic11—42no—
300C2×Dic11—42no—
301C2×Dic11—42no—
302C2×Dic11—42no—
303C2×Dic11—42no—
304C2×Dic11—42no—
305C2×Dic11—42no—
306C2×Dic11—42no—
307C2×Dic11—42no—
308C2×Dic11—42no—
309C2×Dic11—42no—
310C2×Dic11—42no—
311C2×Dic11—42no—
312C2×Dic11C2×C22⋊C414yes—
313C2×Dic11C2×C4⋊C414yes—
314C4×D11—232no—
315C4×D11—416no—
316C4×D11—416no—
317C24×C4—111no—
318C24×C4—111no—
319C24×C4—111no—
320C22×C4⋊C4—111no—
321C22×C4⋊C4—111no—
322C22×C4⋊C4—111no—
323C22×C4⋊C4—118no—
324C22×C4⋊C4—112no—
325C22×C4⋊C4—111no—
326C22×C4⋊C4—224no—
327C22×C4⋊C4—224no—
328C22×C4⋊C4C2×D1111yescharacteristic
329C22×C4⋊C4C2×D1111yescharacteristic
330C22×C22⋊C4—112no—
331C22×C22⋊C4—112no—
332#381—228no—
333#380—224no—
334#380—224no—
335C2×#95—112no—
336C2×#95—111no—
337C2×#95—112no—
338C2×#95—112no—
339C2×#95—112no—
340C2×#95—112no—
341C2×#95—112no—
342C2×#95—112no—
343C2×#95C2×D1111yescharacteristic
344C2×#95C2×D1112yes—
345C2×#95C2×D1112yes—
346C22×C11C22×C22⋊C411yescharacteristic
347C22×C11C22×C4⋊C411yescharacteristic
348C22×C11C2×#11711yescharacteristic
349C22×C11#51812yes—
350C22×C11#51912yes—
351C22×C11C2×#12111yescharacteristic
352C22×C11C2×#12111yescharacteristic
353C22×C11C2×C22⋊Q811yescharacteristic
354C22×C11C2×C22⋊Q811yescharacteristic
355C22×C11#53411yescharacteristic
356C22×C11#53412yes—
357C22×C11#53411yescharacteristic
358C22×C11#53611yescharacteristic
359C22×C11#53612yes—
360C22×C11#53611yescharacteristic
361C22×C11#53712yes—
362C22×C11#53712yes—
363C22×C11#53912yes—
364C22×C11#53912yes—
365C22×C11#53912yes—
366C22×C11#53912yes—
367C22×C11#54412yes—
368C22×C11#54412yes—
369C2×D11—24no—
370C2×D11—24no—
371C2×D11—28no—
372C2×D11—28no—
373C2×D11—24no—
374C2×D11—24no—
375C2×D11—28no—
376C2×D11—28no—
377C2×D11—24no—
378C2×D11—24no—
379C2×D11#38018yes—
380C4×C11—24no—
381C4×C11—24no—
382C4×C11—42no—
383C4×C11—82no—
384C4×C11—82no—
385Dic11—24no—
386Dic11—24no—
387Dic11—42no—
388Dic11—82no—
389Dic11—82no—
390C25—111no—
391C23×C4—111no—
392C23×C4—111no—
393C23×C4—114no—
394C23×C4—114no—
395C23×C4—114no—
396C23×C4—114no—
397C23×C4—114no—
398C23×C4—114no—
399C23×C4—111no—
400C23×C4—114no—
401C23×C4—112no—
402C23×C4—112no—
403C23×C4—222no—
404C23×C4—222no—
405C23×C4—222no—
406C23×C4—222no—
407C23×C4—222no—
408C23×C4—222no—
409C23×C4—442no—
410C23×C4—442no—
411C23×C4—442no—
412C23×C4—442no—
413C23×C4C22×D1112yes—
414C23×C4C22×D1112yes—
415C23×C4C22×D1111yescharacteristic
416C23×C4C22×D1111yescharacteristic
417C23×C4C22×D1111yescharacteristic
418C2×C4⋊C4—22no—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—42no—
422C2×C4⋊C4—114no—
423C2×C4⋊C4—114no—
424C2×C4⋊C4—114no—
425C2×C4⋊C4—2232no—
426C2×C4⋊C4—222no—
427C2×C4⋊C4—222no—
428C2×C4⋊C4—222no—
429C2×C4⋊C4—222no—
430C2×C4⋊C4—222no—
431C2×C4⋊C4—222no—
432C2×C4⋊C4—224no—
433C2×C4⋊C4—222no—
434C2×C4⋊C4—442no—
435C2×C4⋊C4—442no—
436C2×C4⋊C4—442no—
437C2×C4⋊C4C4×D1114yes—
438C2×C22⋊C4—224no—
439C2×C22⋊C4—224no—
440C2×C22⋊C4—224no—
441C2×C22⋊C4—224no—
442C2×C22⋊C4—224no—
443C2×C22⋊C4—224no—
444#95—22no—
445#95—24no—
446#95—42no—
447#95—224no—
448#95—224no—
449#95—224no—
450#95—222no—
451#95—224no—
452#95—442no—
453#95—442no—
454#95—442no—
455C2×C11C2×#38011yescharacteristic
456C2×C11#230811yescharacteristic
457C2×C11#231011yescharacteristic
458C2×C11#231312yes—
459C2×C11#231612yes—
460C2×C11#261811yescharacteristic
461C2×C11#261811yescharacteristic
462C2×C11#261812yes—
463C2×C11#262712yes—
464C2×C11#262711yescharacteristic
465C2×C11#262711yescharacteristic
466D11—28no—
467C24—112no—
468C24—112no—
469C24—112no—
470C24—112no—
471C24—112no—
472C24—112no—
473C24—112no—
474C24—222no—
475C24—222no—
476C24—222no—
477C24—222no—
478C24C23×D1111yescharacteristic
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—112no—
504C22×C4—112no—
505C22×C4—112no—
506C22×C4—112no—
507C22×C4—112no—
508C22×C4—112no—
509C22×C4—1116no—
510C22×C4—1116no—
511C22×C4—112no—
512C22×C4—228no—
513C22×C4—228no—
514C22×C4—228no—
515C22×C4—228no—
516C22×C4—228no—
517C22×C4—228no—
518C22×C4—228no—
519C22×C4—221no—
520C22×C4—221no—
521C22×C4—222no—
522C22×C4—221no—
523C22×C4—221no—
524C22×C4—222no—
525C22×C4—221no—
526C22×C4—221no—
527C22×C4—222no—
528C22×C4—222no—
529C22×C4—222no—
530C22×C4—222no—
531C22×C4—222no—
532C22×C4—222no—
533C22×C4—222no—
534C22×C4—222no—
535C22×C4—222no—
536C22×C4—222no—
537C22×C4—222no—
538C22×C4—222no—
539C22×C4—222no—
540C22×C4—222no—
541C22×C4—222no—
542C22×C4—222no—
543C22×C4—448no—
544C22×C4—444no—
545C22×C4—448no—
546C22×C4—444no—
547C22×C4—448no—
548C22×C4—444no—
549C22×C4—448no—
550C22×C4—444no—
551C22×C4C2×C4×D1112yes—
552C22×C4C2×C4×D1112yes—
553C22×C4C2×C4×D1112yes—
554C22×C4D4×D1112yes—
555C22×C4D4×D1112yes—
556C22×C4D4×D1112yes—
557C22×C4Q8×D1112yes—
558C4⋊C4—28no—
559C4⋊C4—44no—
560C4⋊C4—228no—
561C4⋊C4—228no—
562C4⋊C4—228no—
563C4⋊C4—444no—
564C4⋊C4—448no—
565C22⋊C4—448no—
566C22⋊C4—448no—
567C11#1433911yescharacteristic, complemented, Sylow
568C23—114no—
569C23—114no—
570C23—114no—
571C23—114no—
572C23—114no—
573C23—114no—
574C23—114no—
575C23—224no—
576C23—222no—
577C23—224no—
578C23—224no—
579C23—224no—
580C23—222no—
581C23—224no—
582C23—224no—
583C23—224no—
584C23—224no—
585C23—224no—
586C23—222no—
587C23—224no—
588C23—222no—
589C23—224no—
590C23—224no—
591C23C22×C4×D1111yescharacteristic
592C23C2×D4×D1111yescharacteristic
593C23C2×D4×D1111yescharacteristic
594C23C2×D4×D1111yescharacteristic
595C23#6703712yes—
596C23C2×Q8×D1111yescharacteristic
597C23#6704012yes—
598C23#41×D1111yescharacteristic
599C23#41×D1111yescharacteristic
600C23#6704212yes—
601C23#6704312yes—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—114no—
632C2×C4—114no—
633C2×C4—2232no—
634C2×C4—222no—
635C2×C4—222no—
636C2×C4—224no—
637C2×C4—222no—
638C2×C4—222no—
639C2×C4—222no—
640C2×C4—224no—
641C2×C4—222no—
642C2×C4—222no—
643C2×C4—222no—
644C2×C4—222no—
645C2×C4—224no—
646C2×C4—4416no—
647C2×C4—4416no—
648C2×C4—441no—
649C2×C4—442no—
650C2×C4—441no—
651C2×C4—442no—
652C2×C4—442no—
653C2×C4—442no—
654C2×C4—442no—
655C2×C4—442no—
656C2×C4—442no—
657C2×C4—442no—
658C2×C4—442no—
659C2×C4—442no—
660C2×C4—442no—
661C2×C4—442no—
662C2×C4—442no—
663C2×C4—442no—
664C2×C4—442no—
665C2×C4C22⋊C4×D1114yes—
666C2×C4C4⋊C4×D1114yes—
667C22—118no—
668C22—228no—
669C22—224no—
670C22—224no—
671C22—228no—
672C22—228no—
673C22—224no—
674C22—224no—
675C22—228no—
676C22—224no—
677C22—224no—
678C22C2×C22⋊C4×D1111yescharacteristic
679C22C2×C4⋊C4×D1111yescharacteristic
680C22D11×#11711yescharacteristic
681C22#1062307612yes—
682C22#1062310312yes—
683C22#1062312011yescharacteristic
684C22D11×#12111yescharacteristic
685C22D11×#12111yescharacteristic
686C22#1062313612yes—
687C22#1062313912yes—
688C22D11×C22⋊Q811yescharacteristic
689C22D11×C22⋊Q811yescharacteristic
690C22#1062315912yes—
691C22#1062316012yes—
692C22#1062316912yes—
693C22#1062318411yescharacteristic
694C22#1062319112yes—
695C22#1062320611yescharacteristic
696C22#1062322012yes—
697C22#1062322312yes—
698C22#1062323812yes—
699C22#1062325511yescharacteristic
700C22#1062326012yes—
701C4—24no—
702C4—24no—
703C4—42no—
704C4—82no—
705C4—82no—
706C4—224no—
707C4—224no—
708C4—442no—
709C4—882no—
710C4—882no—
711C2—228no—
712C2D11×#38011yescharacteristic
713C2#1307119011yescharacteristic
714C2#1307119911yescharacteristic
715C2#1307121512yes—
716C2#1307123112yes—
717C2#1307435711yescharacteristic
718C2#1307435911yescharacteristic
719C2#1307436312yes—
720C2#1307442811yescharacteristic
721C2#1307443011yescharacteristic
722C2#1307443412yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×#1441C2
socle, cosocleC24×C11C24
prime radicalC24×D11C23
hypercenter#1441D11
hypocenterC11#14339
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1441

Complements

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

NH ≅ G/Ntype
5. #13066870C2semidirect
6. #13066869C2semidirect
7. #13066868C2semidirect
8. #13066867C2semidirect
9. #13066866C2semidirect
11. C11×#1441C2semidirect
26. C2×C4⋊C4×D11C4semidirect
197. C2×C4×D11C4⋊C4semidirect
216. #1441D11semidirect
567. C11#14339semidirect

Maximal subgroups

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

subgroupindex
C22×C4⋊C4×D112
C2×#106222772
C2×#106222802
C2×#106226002
#130668702
#130668692
#130668682
#130668672
#130668662
(C2×D11)⋊#952
C11×#14412
#1433911