Finite Group Databasebeta

← #14683130

Subgroups — #14683130

Order 2816.

2282 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622573C211yesmaximal, characteristic
2C2×#10622570C212yesmaximal, complemented
3C2×#10622603C212yesmaximal, complemented
4C2×#10622571C212yesmaximal, complemented
5#13066860C212yesmaximal, complemented
6#13066856C212yesmaximal, complemented
7#13066847C212yesmaximal, complemented
8#13066838C211yesmaximal, characteristic, complemented
9C11×#1439C211yesmaximal, characteristic, complemented
10C23×C22⋊D11C2212yes—
11C24×Dic11C2211yescharacteristic
12C23×D44C2211yescharacteristic
13C22×C11×C4⋊C4C2211yescharacteristic
14C22×C11×C22⋊C4C2212yes—
15C22×C11×C22⋊C4C2211yescharacteristic
16C22×C22⋊Dic11C2211yescharacteristic
17C22×(C2×D11)⋊C4C2212yes—
18C22×(C2×D11)⋊C4C2212yes—
19C22×(C2×D11)⋊C4C2212yes—
20C22×(C2×D11)⋊C4C2212yes—
21C22×(C2×D11)⋊C4C2212yes—
22C22×Dic11⋊C4C2212yes—
23C22×C4×Dic11C2212yes—
24C2×C11×#95C2212yes—
25C2×C11×#95C2211yescharacteristic
26C2×C11⋊#95C2212yes—
27C2×C11⋊#95C2212yes—
28C2×C11⋊#95C2212yes—
29C2×C11⋊#95C2211yescharacteristic
30C2×C11⋊#95C2212yes—
31#10622603—28no—
32#10622573C418yescomplemented
33#10622571—28no—
34#10622570—28no—
35C25×C11C2311yescharacteristic
36C24×D11C2312yes—
37C23×C4×C11C2312yes—
38C23×C4×C11C2311yescharacteristic
39C23×C4×C11C2311yescharacteristic
40C23×C4×C11C2312yes—
41C22×C22⋊D11—24no—
42C22×C22⋊D11—24no—
43C22×C22⋊D11—24no—
44C22×C22⋊D11—24no—
45C22×C22⋊D11—42no—
46C22×C22⋊D11—42no—
47C22×C22⋊D11C2×C418yes—
48C23×Dic11—22no—
49C23×Dic11—24no—
50C23×Dic11—42no—
51C23×Dic11—41no—
52C23×Dic11—41no—
53C23×Dic11C2312yes—
54C23×Dic11C2312yes—
55C23×Dic11C2312yes—
56C22×D44—42no—
57C22×D44—42no—
58C22×D44—41no—
59C22×D44—41no—
60C22×D44C2×C414yescomplemented
61C2×C11×C4⋊C4—24no—
62C2×C11×C4⋊C4—41no—
63C2×C11×C22⋊C4—24no—
64C2×C11×C22⋊C4—24no—
65C2×C11×C22⋊C4—41no—
66C2×C11×C22⋊C4—41no—
67C2×C11×C22⋊C4—42no—
68C2×C11×C22⋊C4C2×C414yes—
69C2×C22⋊Dic11—41no—
70C2×C22⋊Dic11—41no—
71C2×C22⋊Dic11D414yescomplemented
72C2×(C2×D11)⋊C4—24no—
73C2×(C2×D11)⋊C4—24no—
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×(C2×D11)⋊C4—42no—
81C2×(C2×D11)⋊C4—42no—
82C2×(C2×D11)⋊C4—42no—
83C2×(C2×D11)⋊C4—42no—
84C2×(C2×D11)⋊C4—42no—
85C2×(C2×D11)⋊C4—42no—
86C2×(C2×D11)⋊C4C2×C418yescomplemented
87C2×Dic11⋊C4—24no—
88C2×Dic11⋊C4—24no—
89C2×Dic11⋊C4—42no—
90C2×C4×Dic11—24no—
91C2×C4×Dic11—24no—
92C2×C4×Dic11—42no—
93C11×#95—42no—
94C11×#95—41no—
95C11⋊#95—24no—
96C11⋊#95—24no—
97C11⋊#95—42no—
98C11⋊#95C2×C414yescomplemented
99C11⋊#95D418yescomplemented
100#14521—111nomaximal, Sylow
101C24×C11—22no—
102C24×C11—22no—
103C24×C11—21no—
104C24×C11—21no—
105C24×C11—21no—
106C24×C11—22no—
107C24×C11—22no—
108C24×C11—21no—
109C24×C11C22×C412yes—
110C24×C11C2×D412yes—
111C24×C11#4112yes—
112C24×C11C2411yescharacteristic
113C23×D11—22no—
114C23×D11—22no—
115C23×D11—22no—
116C23×D11—22no—
117C23×D11—22no—
118C23×D11—22no—
119C23×D11—22no—
120C23×D11—22no—
121C23×D11—22no—
122C23×D11—22no—
123C23×D11—22no—
124C23×D11—22no—
125C23×D11—22no—
126C23×D11—22no—
127C23×D11C22×C414yes—
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—21no—
135C22×C4×C11—22no—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—21no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—22no—
142C22×C4×C11—22no—
143C22×C4×C11—22no—
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—22no—
148C22×C4×C11—22no—
149C22×C4×C11C22×C412yes—
150C22×C4×C11C22×C412yes—
151C22×C4×C11C2×D414yes—
152C2×C22⋊D11—216no—
153C2×C22⋊D11—216no—
154C2×C22⋊D11—48no—
155C2×C22⋊D11—48no—
156C2×C22⋊D11—48no—
157C2×C22⋊D11—48no—
158C2×C22⋊D11—48no—
159C22×Dic11—22no—
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×Dic11—22no—
175C22×Dic11—48no—
176C22×Dic11—44no—
177C22×Dic11—44no—
178C22×Dic11—48no—
179C22×Dic11—44no—
180C22×Dic11C22×C414yes—
181C22×Dic11C2×D414yes—
182C22×Dic11C2×D414yes—
183C22×Dic11C2×D414yes—
184C22×Dic11#4114yes—
185C2×D44—44no—
186C2×D44—48no—
187C2×D44—44no—
188C2×D44—48no—
189C2×D44—44no—
190C11×C4⋊C4—44no—
191C11×C22⋊C4—44no—
192C11×C22⋊C4—48no—
193C22⋊Dic11—44no—
194(C2×D11)⋊C4—216no—
195(C2×D11)⋊C4—48no—
196(C2×D11)⋊C4—48no—
197(C2×D11)⋊C4—48no—
198(C2×D11)⋊C4—48no—
199Dic11⋊C4—48no—
200C4×Dic11—48no—
201C2×#392—111no—
202C2×#390—112no—
203C2×#388—112no—
204C2×#386—112no—
205#1439—112no—
206#1439D1111yescharacteristic, complemented
207#1438—112no—
208#1436—112no—
209C22⋊#95—111no—
210C23×C11—24no—
211C23×C11—22no—
212C23×C11—24no—
213C23×C11—22no—
214C23×C11—22no—
215C23×C11—22no—
216C23×C11—22no—
217C23×C11—22no—
218C23×C11—24no—
219C23×C11—24no—
220C23×C11—24no—
221C23×C11—24no—
222C23×C11—42no—
223C23×C11—42no—
224C23×C11—42no—
225C23×C11—42no—
226C23×C11—41no—
227C23×C11—42no—
228C23×C11—41no—
229C23×C11—41no—
230C23×C11—42no—
231C23×C11—41no—
232C23×C11C4×D414yes—
233C23×C11C23×C411yescharacteristic
234C23×C11C22×D411yescharacteristic
235C23×C11C22×D412yes—
236C23×C11C2×#4111yescharacteristic
237C23×C11C2×#4112yes—
238C23×C11H(5,𝔽2)11yescharacteristic
239C23×C11H(5,𝔽2)11yescharacteristic
240C23×C11H(5,𝔽2)12yes—
241C23×C11H(5,𝔽2)12yes—
242C23×C11H(5,𝔽2)11yescharacteristic
243C23×C112−1+411yescharacteristic
244C22×D11—24no—
245C22×D11—24no—
246C22×D11—24no—
247C22×D11—24no—
248C22×D11—24no—
249C22×D11—24no—
250C22×D11—24no—
251C22×D11—42no—
252C22×D11—42no—
253C22×D11—42no—
254C22×D11—42no—
255C22×D11—42no—
256C22×D11—42no—
257C22×D11—42no—
258C22×D11—42no—
259C22×D11—42no—
260C22×D11—42no—
261C22×D11—42no—
262C22×D11—42no—
263C22×D11—42no—
264C22×D11—42no—
265C22×D11—42no—
266C22×D11—42no—
267C22×D11—42no—
268C22×D11—42no—
269C22×D11—42no—
270C22×D11—42no—
271C22×D11—42no—
272C22×D11—42no—
273C22×D11—42no—
274C22×D11—42no—
275C22×D11—42no—
276C22×D11—42no—
277C22×D11—42no—
278C22×D11—42no—
279C2×C4×C11—24no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—24no—
283C2×C4×C11—24no—
284C2×C4×C11—24no—
285C2×C4×C11—24no—
286C2×C4×C11—42no—
287C2×C4×C11—42no—
288C2×C4×C11—42no—
289C2×C4×C11—41no—
290C2×C4×C11—42no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—42no—
294C2×C4×C11—42no—
295C2×C4×C11—41no—
296C2×C4×C11—42no—
297C2×C4×C11—42no—
298C2×C4×C11—42no—
299C2×C4×C11—42no—
300C2×C4×C11—42no—
301C2×C4×C11—42no—
302C2×C4×C11—42no—
303C22⋊D11—432no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—24no—
310C2×Dic11—24no—
311C2×Dic11—24no—
312C2×Dic11—24no—
313C2×Dic11—24no—
314C2×Dic11—24no—
315C2×Dic11—24no—
316C2×Dic11—416no—
317C2×Dic11—42no—
318C2×Dic11—42no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11—42no—
322C2×Dic11—42no—
323C2×Dic11—42no—
324C2×Dic11—42no—
325C2×Dic11C4×D418yes—
326D44—416no—
327C23×D4—112no—
328C23×D4—111no—
329C24×C4—111no—
330C22×C4⋊C4—112no—
331C22×C4⋊C4C2×D1111yescharacteristic
332C22×C22⋊C4—112no—
333C22×C22⋊C4—111no—
334C22×C22⋊C4—112no—
335C22×C22⋊C4—112no—
336C22×C22⋊C4—112no—
337C22×C22⋊C4—112no—
338C22×C22⋊C4C2×D1112yes—
339C22×C22⋊C4C2×D1111yescharacteristic
340C22×C42—112no—
341#392—118no—
342#390—228no—
343#388—228no—
344#386—228no—
345C2×#95—111no—
346C2×#95—112no—
347C2×#95—112no—
348C2×#95—112no—
349C2×#95—112no—
350C2×#95C2×D1112yes—
351C2×#95C2×D1111yescharacteristic
352C22×C11—24no—
353C22×C11—28no—
354C22×C11—44no—
355C22×C11—42no—
356C22×C11—42no—
357C22×C11—42no—
358C22×C11—44no—
359C22×C11—42no—
360C22×C11—44no—
361C22×C11—42no—
362C22×C11—42no—
363C22×C11C2×C4×D411yescharacteristic
364C22×C11C2×C4×D412yes—
365C22×C11#51811yescharacteristic
366C22×C11#51812yes—
367C22×C11#52011yescharacteristic
368C22×C11#53411yescharacteristic
369C22×C11#53512yes—
370C22×C11#53712yes—
371C22×C11#53711yescharacteristic
372C22×C11#53811yescharacteristic
373C22×C11#53911yescharacteristic
374C22×C11#54012yes—
375C22×C11#54212yes—
376C22×C11D4212yes—
377C22×C11D4211yescharacteristic
378C22×C11#54612yes—
379C22×C11#54612yes—
380C22×C11#55012yes—
381C22×C11#55112yes—
382C22×C11#55911yescharacteristic
383C22×C11#56011yescharacteristic
384C22×C11#56012yes—
385C22×C11H(3,𝔽4)11yescharacteristic
386C2×D11—44no—
387C2×D11—44no—
388C2×D11—44no—
389C2×D11—44no—
390C2×D11—44no—
391C2×D11—44no—
392C2×D11—44no—
393C2×D11—82no—
394C2×D11—82no—
395C2×D11—82no—
396C2×D11—82no—
397C2×D11—82no—
398C2×D11—82no—
399C2×D11—82no—
400C2×D11—82no—
401C4×C11—42no—
402C4×C11—42no—
403C4×C11—44no—
404C4×C11—82no—
405Dic11—28no—
406Dic11—44no—
407Dic11—44no—
408C25—112no—
409C25C22×D1111yescharacteristic
410C22×D4—118no—
411C22×D4—114no—
412C22×D4—224no—
413C22×D4—224no—
414C22×D4—224no—
415C22×D4—224no—
416C22×D4—442no—
417C22×D4—441no—
418C22×D4—441no—
419C22×D4—442no—
420C22×D4—442no—
421C22×D4—442no—
422C23×C4—112no—
423C23×C4—112no—
424C23×C4—112no—
425C23×C4—224no—
426C23×C4—222no—
427C23×C4—441no—
428C23×C4—442no—
429C23×C4—441no—
430C23×C4C22×D1112yes—
431C23×C4C22×D1111yescharacteristic
432C23×C4C22×D1111yescharacteristic
433C23×C4C22×D1112yes—
434C2×C4⋊C4—24no—
435C2×C4⋊C4—41no—
436C2×C4⋊C4—224no—
437C2×C4⋊C4—224no—
438C2×C4⋊C4—442no—
439C2×C22⋊C4—24no—
440C2×C22⋊C4—24no—
441C2×C22⋊C4—41no—
442C2×C22⋊C4—41no—
443C2×C22⋊C4—42no—
444C2×C22⋊C4—118no—
445C2×C22⋊C4—114no—
446C2×C22⋊C4—224no—
447C2×C22⋊C4—224no—
448C2×C22⋊C4—224no—
449C2×C22⋊C4—224no—
450C2×C22⋊C4—224no—
451C2×C22⋊C4—224no—
452C2×C22⋊C4—224no—
453C2×C22⋊C4—224no—
454C2×C22⋊C4—442no—
455C2×C22⋊C4—442no—
456C2×C22⋊C4—442no—
457C2×C22⋊C4—442no—
458C2×C22⋊C4—442no—
459C2×C22⋊C4—442no—
460C2×C22⋊C4—441no—
461C2×C22⋊C4—441no—
462C2×C22⋊C4C4×D1114yes—
463C2×C42—224no—
464C2×C42—224no—
465C2×C42—442no—
466#95—42no—
467#95—41no—
468#95—114no—
469#95—118no—
470#95—224no—
471#95—224no—
472#95—442no—
473C2×C11—44no—
474C2×C11#232412yes—
475C2×C11#232511yescharacteristic
476C2×C11#235812yes—
477C2×C11#236611yescharacteristic
478C2×C11#237511yescharacteristic
479C2×C11#267011yescharacteristic
480C2×C11#267312yes—
481C2×C11#267511yescharacteristic
482C2×C11#270512yes—
483C2×C11#271211yescharacteristic
484C2×C11#275211yescharacteristic
485D11—84no—
486C24—22no—
487C24—21no—
488C24—21no—
489C24—22no—
490C24—22no—
491C24—21no—
492C24—22no—
493C24—21no—
494C24—114no—
495C24—222no—
496C24—222no—
497C24—222no—
498C24—222no—
499C24—222no—
500C24—222no—
501C24—222no—
502C24—222no—
503C24—222no—
504C24—222no—
505C24—222no—
506C24—222no—
507C24—222no—
508C24—222no—
509C24C2×C4×D1112yes—
510C24D4×D1112yes—
511C24#434312yes—
512C24C23×D1111yescharacteristic
513C2×D4—2216no—
514C2×D4—2216no—
515C2×D4—444no—
516C2×D4—448no—
517C2×D4—444no—
518C2×D4—448no—
519C2×D4—444no—
520C2×D4—448no—
521C2×D4—448no—
522C2×D4—448no—
523C2×D4—448no—
524C2×D4—448no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—21no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—114no—
547C22×C4—114no—
548C22×C4—114no—
549C22×C4—114no—
550C22×C4—114no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—222no—
554C22×C4—222no—
555C22×C4—222no—
556C22×C4—222no—
557C22×C4—222no—
558C22×C4—222no—
559C22×C4—222no—
560C22×C4—222no—
561C22×C4—222no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—222no—
565C22×C4—222no—
566C22×C4—222no—
567C22×C4—444no—
568C22×C4—448no—
569C22×C4—448no—
570C22×C4—444no—
571C22×C4—444no—
572C22×C4C2×C4×D1112yes—
573C22×C4C2×C4×D1112yes—
574C22×C4D4×D1114yes—
575C4⋊C4—44no—
576C4⋊C4—448no—
577C22⋊C4—44no—
578C22⋊C4—48no—
579C22⋊C4—2216no—
580C22⋊C4—448no—
581C22⋊C4—448no—
582C22⋊C4—448no—
583C22⋊C4—448no—
584C22⋊C4—444no—
585C42—448no—
586C11#1452111yescharacteristic, complemented, Sylow
587C23—22no—
588C23—22no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—22no—
593C23—22no—
594C23—24no—
595C23—24no—
596C23—22no—
597C23—22no—
598C23—24no—
599C23—42no—
600C23—41no—
601C23—41no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—41no—
607C23—42no—
608C23—41no—
609C23—224no—
610C23—224no—
611C23—224no—
612C23—224no—
613C23—224no—
614C23—224no—
615C23—224no—
616C23—442no—
617C23—442no—
618C23—442no—
619C23—442no—
620C23—442no—
621C23—442no—
622C23—442no—
623C23—442no—
624C23—442no—
625C23—442no—
626C23—442no—
627C23—442no—
628C23—442no—
629C23—442no—
630C23—442no—
631C23—442no—
632C23—442no—
633C23—442no—
634C23—442no—
635C23—442no—
636C23—442no—
637C23—442no—
638C23—442no—
639C23—442no—
640C23—442no—
641C23—442no—
642C23—442no—
643C23—442no—
644C23#6694614yes—
645C23C22×C4×D1111yescharacteristic
646C23C2×D4×D1111yescharacteristic
647C23C2×D4×D1112yes—
648C23#6703711yescharacteristic
649C23#6703712yes—
650C23#6703711yescharacteristic
651C23C2×#434311yescharacteristic
652C23#41×D1112yes—
653C23#6704212yes—
654C23#6704211yescharacteristic
655C23#6704311yescharacteristic
656D4—4416no—
657D4—4432no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—42no—
666C2×C4—41no—
667C2×C4—42no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—118no—
683C2×C4—224no—
684C2×C4—224no—
685C2×C4—224no—
686C2×C4—224no—
687C2×C4—224no—
688C2×C4—224no—
689C2×C4—224no—
690C2×C4—224no—
691C2×C4—224no—
692C2×C4—224no—
693C2×C4—224no—
694C2×C4—224no—
695C2×C4—4416no—
696C2×C4—442no—
697C2×C4—442no—
698C2×C4—442no—
699C2×C4—442no—
700C2×C4—442no—
701C2×C4—442no—
702C2×C4—442no—
703C2×C4—442no—
704C22—24no—
705C22—28no—
706C22—42no—
707C22—44no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—44no—
713C22—44no—
714C22—42no—
715C22—444no—
716C22—444no—
717C22—444no—
718C22—444no—
719C22—444no—
720C22—444no—
721C22—444no—
722C22—882no—
723C22—882no—
724C22—882no—
725C22—882no—
726C22—882no—
727C22—882no—
728C22—882no—
729C22—882no—
730C22#1062301711yescharacteristic
731C22C2×#6694611yescharacteristic
732C22#1062305411yescharacteristic
733C22C4×D4×D1112yes—
734C22#1062307612yes—
735C22#1062312111yescharacteristic
736C22#1062312112yes—
737C22#1062312812yes—
738C22#1062312811yescharacteristic
739C22#1062313012yes—
740C22#1062313611yescharacteristic
741C22#1062315112yes—
742C22#1062316112yes—
743C22#1062316812yes—
744C22#1062317511yescharacteristic
745C22#1062317611yescharacteristic
746C22#1062318512yes—
747C22#1062319412yes—
748C22#1062319511yescharacteristic
749C22#1062320512yes—
750C22#1062321411yescharacteristic
751C22#1062324112yes—
752C22#1062325111yescharacteristic
753C4—42no—
754C4—42no—
755C4—44no—
756C4—82no—
757C4—228no—
758C4—444no—
759C4—444no—
760C2—44no—
761C2—884no—
762C2#1307130412yes—
763C2#1307131611yescharacteristic
764C2#1307159212yes—
765C2#1307167911yescharacteristic
766C2#1307175311yescharacteristic
767C2#1307483611yescharacteristic
768C2#1307487512yes—
769C2#1307490511yescharacteristic
770C2#1307528812yes—
771C2#1307538511yescharacteristic
772C2#1307588511yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×#1439C2
socle, cosocleC24×C11C24
prime radicalC2×#10622573C2
hypercenter#1439D11
hypocenterC11#14521
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1439

Complements

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

NH ≅ G/Ntype
2. C2×#10622570C2semidirect
3. C2×#10622603C2semidirect
4. C2×#10622571C2semidirect
5. #13066860C2semidirect
6. #13066856C2semidirect
7. #13066847C2semidirect
8. #13066838C2semidirect
9. C11×#1439C2semidirect
32. #10622573C4semidirect
60. C22×D44C2×C4semidirect
71. C2×C22⋊Dic11D4semidirect
86. C2×(C2×D11)⋊C4C2×C4semidirect
98. C11⋊#95C2×C4semidirect
99. C11⋊#95D4semidirect
206. #1439D11semidirect
586. C11#14521semidirect

Maximal subgroups

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

subgroupindex
C2×#106225732
C2×#106225702
C2×#106226032
C2×#106225712
#130668602
#130668562
#130668472
#130668382
C11×#14392
#1452111