Finite Group Databasebeta

← #14685103

Subgroups — #14685103

Order 2816.

2842 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66947C211yesmaximal, characteristic
2C22×C42×D11C211yesmaximal, characteristic, complemented
3C2×#10622278C212yesmaximal
4C2×#10622277C211yesmaximal, characteristic, complemented
5#13066854C211yesmaximal, characteristic, complemented
6#13066852C212yesmaximal, complemented
7#13066852C211yesmaximal, characteristic, complemented
8#13066848C211yesmaximal, characteristic, complemented
9#13066847C212yesmaximal, complemented
10(C2×D11)⋊#95C212yesmaximal, complemented
11C11×#1436C211yesmaximal, characteristic, complemented
12C23×D44C2211yescharacteristic
13C23×C4×D11C2212yes—
14C23×C4×D11C2211yescharacteristic
15C22×C11×C4⋊C4C2211yescharacteristic
16C22×C42×C11C2211yescharacteristic
17C22×(C2×D11)⋊C4C2212yes—
18C22×(C2×D11)⋊C4C2212yes—
19C22×(C2×D11)⋊C4C2212yes—
20C22×(C2×D11)⋊C4C2211yescharacteristic
21C22×(C2×D11)⋊C4C2211yescharacteristic
22C22×(C2×D11)⋊C4C2211yescharacteristic
23C22×Dic11⋊C4C2211yescharacteristic
24C22×C4×Dic11C2212yes—
25C22×C4×Dic11C2211yescharacteristic
26C2×#66947—24no—
27C2×#66947—24no—
28C2×#66947C418yescomplemented
29C2×C42×D11—28no—
30C2×C42×D11—24no—
31C2×C11×#95C2212yes—
32C2×C11×#95C2212yes—
33C2×C11×#95C2211yescharacteristic
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C2×C11⋊#95C2212yes—
37C2×C11⋊#95C2212yes—
38C2×C11⋊#95C2212yes—
39C2×C11⋊#95C2211yescharacteristic
40#10622278—28no—
41#10622277—24no—
42C24×D11C2311yescharacteristic
43C24×D11C2311yescharacteristic
44C23×C4×C11C2312yes—
45C23×C4×C11C2311yescharacteristic
46C23×C4×C11C2311yescharacteristic
47C23×C4×C11C2311yescharacteristic
48C23×C4×C11C2312yes—
49C23×Dic11C2312yes—
50C23×Dic11C2311yescharacteristic
51C23×Dic11C2311yescharacteristic
52C23×Dic11C2312yes—
53C22×D44—22no—
54C22×D44—22no—
55C22×D44—24no—
56C22×D44—24no—
57C22×D44C2×C414yes—
58C22×C4×D11—24no—
59C22×C4×D11—24no—
60C22×C4×D11—24no—
61C22×C4×D11—24no—
62C22×C4×D11—24no—
63C22×C4×D11—24no—
64C22×C4×D11—24no—
65C22×C4×D11—24no—
66C22×C4×D11C2×C414yes—
67C22×C4×D11D418yes—
68C22×C4×D11D414yes—
69C22×C4×D11D414yes—
70C2×C11×C4⋊C4—22no—
71C2×C11×C4⋊C4—22no—
72C2×C11×C4⋊C4C2×C414yescomplemented
73C2×C42×C11—22no—
74C2×C42×C11—24no—
75C2×(C2×D11)⋊C4—22no—
76C2×(C2×D11)⋊C4—22no—
77C2×(C2×D11)⋊C4—22no—
78C2×(C2×D11)⋊C4—22no—
79C2×(C2×D11)⋊C4—22no—
80C2×(C2×D11)⋊C4—22no—
81C2×(C2×D11)⋊C4—24no—
82C2×(C2×D11)⋊C4—24no—
83C2×(C2×D11)⋊C4—24no—
84C2×(C2×D11)⋊C4—24no—
85C2×(C2×D11)⋊C4—24no—
86C2×(C2×D11)⋊C4—24no—
87C2×(C2×D11)⋊C4—24no—
88C2×(C2×D11)⋊C4—24no—
89C2×(C2×D11)⋊C4—24no—
90C2×(C2×D11)⋊C4C2×C414yes—
91C2×(C2×D11)⋊C4C2×C414yescomplemented
92C2×(C2×D11)⋊C4C2×C414yescomplemented
93C2×Dic11⋊C4—22no—
94C2×Dic11⋊C4—22no—
95C2×Dic11⋊C4C2×C414yescomplemented
96C2×C4×Dic11—22no—
97C2×C4×Dic11—24no—
98C2×C4×Dic11—24no—
99C2×C4×Dic11—24no—
100C2×C4×Dic11—24no—
101#66947—232no—
102C42×D11—232no—
103C11×#95—22no—
104C11×#95—24no—
105C11×#95—24no—
106C11⋊#95—22no—
107C11⋊#95—24no—
108C11⋊#95—24no—
109C11⋊#95—24no—
110C11⋊#95—24no—
111C11⋊#95—24no—
112#14706—111nomaximal, Sylow
113C24×C11C2411yescharacteristic
114C23×D11—22no—
115C23×D11—22no—
116C23×D11—22no—
117C23×D11—22no—
118C23×D11—21no—
119C23×D11—21no—
120C23×D11—22no—
121C23×D11—22no—
122C23×D11—22no—
123C23×D11—22no—
124C23×D11—22no—
125C23×D11—22no—
126C23×D11C22×C412yes—
127C23×D11C22×C412yes—
128C23×D11C2×D412yes—
129C23×D11C2×D412yes—
130C23×D11C2×D414yes—
131C23×D11#4114yes—
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—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
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×C11—22no—
150C22×C4×C11—22no—
151C22×C4×C11—22no—
152C22×C4×C11—22no—
153C22×C4×C11C22×C412yes—
154C22×C4×C11C22×C412yes—
155C22×C4×C11C22×C412yes—
156C22×C4×C11C2×D412yes—
157C22×C4×C11C2×D412yes—
158C22×C4×C11C2×D414yes—
159C22×C4×C11#4114yes—
160C22×C4×C11#4114yes—
161C22×Dic11—22no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—21no—
165C22×Dic11—21no—
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—22no—
176C22×Dic11—22no—
177C22×Dic11—22no—
178C22×Dic11C22×C412yes—
179C22×Dic11C22×C412yes—
180C22×Dic11C2×D412yes—
181C22×Dic11C2×D412yes—
182C22×Dic11C2×D414yes—
183C22×Dic11#4114yes—
184C22×Dic11#4114yes—
185C2×D44—28no—
186C2×D44—216no—
187C2×D44—44no—
188C2×D44—48no—
189C2×D44—44no—
190C2×C4×D11—216no—
191C2×C4×D11—216no—
192C2×C4×D11—216no—
193C2×C4×D11—216no—
194C2×C4×D11—216no—
195C2×C4×D11—216no—
196C2×C4×D11—216no—
197C2×C4×D11—28no—
198C2×C4×D11—216no—
199C2×C4×D11—28no—
200C2×C4×D11—216no—
201C2×C4×D11C22⋊C4116yescomplemented
202C11×C4⋊C4—28no—
203C42×C11—28no—
204(C2×D11)⋊C4—28no—
205(C2×D11)⋊C4—28no—
206(C2×D11)⋊C4—28no—
207(C2×D11)⋊C4—48no—
208(C2×D11)⋊C4—48no—
209(C2×D11)⋊C4—48no—
210Dic11⋊C4—28no—
211C4×Dic11—216no—
212C4×Dic11—28no—
213C22×#123—111no—
214C23×C42—111no—
215C2×#386—112no—
216C2×#381—111no—
217#1437—111no—
218#1437—111no—
219#1437—112no—
220#1436—112no—
221#1436—111no—
222#1436D1111yescharacteristic, complemented
223C22⋊#95—112no—
224C23×C11C23×C411yescharacteristic
225C23×C11C22×D411yescharacteristic
226C23×C11C22×D411yescharacteristic
227C23×C11C22×D412yes—
228C23×C11C2×#4112yes—
229C23×C11C2×#4112yes—
230C23×C11C2×#4112yes—
231C23×C11C2×#4112yes—
232C23×C11C2×#4112yes—
233C22×D11—22no—
234C22×D11—22no—
235C22×D11—24no—
236C22×D11—24no—
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×D11—24no—
246C22×D11—22no—
247C22×D11—24no—
248C22×D11—22no—
249C22×D11—22no—
250C22×D11—24no—
251C22×D11—22no—
252C22×D11—22no—
253C22×D11—24no—
254C22×D11—41no—
255C22×D11—42no—
256C22×D11—42no—
257C22×D11—42no—
258C22×D11—41no—
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—41no—
268C22×D11—42no—
269C22×D11—41no—
270C22×D11C2×C22⋊C414yes—
271C22×D11C4×D418yes—
272C22×D11#12014yes—
273C22×D11#12118yes—
274C22×D11#12314yes—
275C2×C4×C11—24no—
276C2×C4×C11—24no—
277C2×C4×C11—22no—
278C2×C4×C11—24no—
279C2×C4×C11—24no—
280C2×C4×C11—22no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—24no—
284C2×C4×C11—24no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—24no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—41no—
291C2×C4×C11—42no—
292C2×C4×C11—41no—
293C2×C4×C11—42no—
294C2×C4×C11—42no—
295C2×C4×C11—42no—
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×C11C2×C22⋊C414yes—
303C2×C4×C11#12318yescomplemented
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—22no—
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—22no—
310C2×Dic11—24no—
311C2×Dic11—24no—
312C2×Dic11—24no—
313C2×Dic11—24no—
314C2×Dic11—22no—
315C2×Dic11—24no—
316C2×Dic11—42no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11—42no—
322C2×Dic11—42no—
323C2×Dic11—42no—
324C2×Dic11—42no—
325C2×Dic11—42no—
326C2×Dic11C2×C22⋊C414yes—
327C2×Dic11#12318yescomplemented
328D44—416no—
329C4×D11—264no—
330C4×D11—232no—
331C23×D4—111no—
332C24×C4—111no—
333C24×C4—112no—
334C2×#123—118no—
335C2×#123—224no—
336C2×#123—224no—
337C22×C4⋊C4—111no—
338C22×C4⋊C4C2×D1111yescharacteristic
339C22×C22⋊C4—111no—
340C22×C22⋊C4—111no—
341C22×C22⋊C4—111no—
342C22×C22⋊C4—112no—
343C22×C22⋊C4—112no—
344C22×C22⋊C4—112no—
345C22×C42—112no—
346C22×C42—111no—
347C22×C42—224no—
348C22×C42—228no—
349C22×C42C2×D1111yescharacteristic
350#386—228no—
351#381—224no—
352C2×#95—112no—
353C2×#95—112no—
354C2×#95—112no—
355C2×#95—112no—
356C2×#95—112no—
357C2×#95—111no—
358C2×#95C2×D1112yes—
359C2×#95C2×D1112yes—
360C2×#95C2×D1111yescharacteristic
361C22×C11C22×C22⋊C411yescharacteristic
362C22×C11C2×C4×D412yes—
363C22×C11C4×#4111yescharacteristic
364C22×C11C4×#4111yescharacteristic
365C22×C11C4×#4112yes—
366C22×C11C2×#12011yescharacteristic
367C22×C11C2×#12112yes—
368C22×C11C2×#12312yes—
369C22×C11C2×#12312yes—
370C22×C11C2×#12311yescharacteristic
371C22×C11#52512yes—
372C22×C11#52512yes—
373C22×C11#52512yes—
374C22×C11#52512yes—
375C22×C11#52912yes—
376C22×C11#52912yes—
377C22×C11#52912yes—
378C22×C11#52912yes—
379C22×C11#53211yescharacteristic
380C22×C11#53212yes—
381C22×C11#53211yescharacteristic
382C2×D11—28no—
383C2×D11—28no—
384C2×D11—28no—
385C2×D11—28no—
386C2×D11—24no—
387C2×D11—24no—
388C2×D11—28no—
389C2×D11—28no—
390C2×D11—42no—
391C2×D11—42no—
392C2×D11—42no—
393C2×D11—44no—
394C2×D11—44no—
395C2×D11—82no—
396C2×D11—82no—
397C2×D11—82no—
398C2×D11—82no—
399C2×D11#38618yes—
400C4×C11—28no—
401C4×C11—24no—
402C4×C11—42no—
403C4×C11—42no—
404C4×C11—82no—
405Dic11—28no—
406Dic11—24no—
407Dic11—42no—
408Dic11—82no—
409C25—111no—
410C25—111no—
411C22×D4—114no—
412C22×D4—222no—
413C22×D4—222no—
414C22×D4—224no—
415C22×D4—224no—
416C23×C4—111no—
417C23×C4—112no—
418C23×C4—114no—
419C23×C4—114no—
420C23×C4—114no—
421C23×C4—111no—
422C23×C4—118no—
423C23×C4—112no—
424C23×C4—224no—
425C23×C4—224no—
426C23×C4—224no—
427C23×C4—224no—
428C23×C4—224no—
429C23×C4—224no—
430C23×C4—224no—
431C23×C4—224no—
432C23×C4C22×D1112yes—
433C23×C4C22×D1111yescharacteristic
434C23×C4C22×D1111yescharacteristic
435C23×C4C22×D1111yescharacteristic
436C23×C4C22×D1112yes—
437#123—2232no—
438C2×C4⋊C4—22no—
439C2×C4⋊C4—22no—
440C2×C4⋊C4—114no—
441C2×C4⋊C4—222no—
442C2×C4⋊C4—222no—
443C2×C4⋊C4C4×D1114yescomplemented
444C2×C22⋊C4—114no—
445C2×C22⋊C4—114no—
446C2×C22⋊C4—114no—
447C2×C22⋊C4—222no—
448C2×C22⋊C4—222no—
449C2×C22⋊C4—222no—
450C2×C22⋊C4—222no—
451C2×C22⋊C4—222no—
452C2×C22⋊C4—222no—
453C2×C22⋊C4—224no—
454C2×C22⋊C4—224no—
455C2×C22⋊C4—224no—
456C2×C22⋊C4—224no—
457C2×C22⋊C4—224no—
458C2×C22⋊C4—224no—
459C2×C22⋊C4—224no—
460C2×C22⋊C4—224no—
461C2×C22⋊C4—224no—
462C2×C42—22no—
463C2×C42—24no—
464C2×C42—2232no—
465C2×C42—224no—
466C2×C42—224no—
467C2×C42—224no—
468C2×C42—222no—
469C2×C42—224no—
470#95—24no—
471#95—22no—
472#95—24no—
473#95—224no—
474#95—224no—
475#95—224no—
476#95—224no—
477#95—222no—
478#95—224no—
479C2×C11C2×#38611yescharacteristic
480C2×C11#229711yescharacteristic
481C2×C11#229711yescharacteristic
482C2×C11C4×#12312yes—
483C2×C11C4×#12312yes—
484C2×C11#284912yes—
485C2×C11#285312yes—
486C2×C11#285412yes—
487C2×C11#285412yes—
488D11—28no—
489D11—82no—
490C24—112no—
491C24—112no—
492C24—112no—
493C24—114no—
494C24—114no—
495C24—112no—
496C24—222no—
497C24—222no—
498C24—222no—
499C24—222no—
500C24—222no—
501C24—221no—
502C24—221no—
503C24—222no—
504C24—222no—
505C24—222no—
506C24—222no—
507C24—222no—
508C24C23×D1111yescharacteristic
509C2×D4—228no—
510C2×D4—2216no—
511C2×D4—444no—
512C2×D4—448no—
513C2×D4—444no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—112no—
536C22×C4—112no—
537C22×C4—114no—
538C22×C4—112no—
539C22×C4—114no—
540C22×C4—114no—
541C22×C4—1116no—
542C22×C4—112no—
543C22×C4—2216no—
544C22×C4—228no—
545C22×C4—2216no—
546C22×C4—2216no—
547C22×C4—2216no—
548C22×C4—228no—
549C22×C4—2216no—
550C22×C4—2216no—
551C22×C4—2216no—
552C22×C4—2216no—
553C22×C4—222no—
554C22×C4—222no—
555C22×C4—222no—
556C22×C4—222no—
557C22×C4—222no—
558C22×C4—222no—
559C22×C4—2216no—
560C22×C4—221no—
561C22×C4—221no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—222no—
565C22×C4—222no—
566C22×C4—222no—
567C22×C4—222no—
568C22×C4—222no—
569C22×C4—222no—
570C22×C4—222no—
571C22×C4C2×C4×D1112yes—
572C22×C4C2×C4×D1112yes—
573C22×C4C2×C4×D1112yes—
574C22×C4#433914yes—
575C22×C4D4×D1112yes—
576C22×C4D4×D1112yes—
577C22×C4D4×D1114yes—
578C22×C4#434314yes—
579C4⋊C4—28no—
580C4⋊C4—228no—
581C22⋊C4—228no—
582C22⋊C4—228no—
583C22⋊C4—228no—
584C22⋊C4—448no—
585C22⋊C4—448no—
586C22⋊C4—448no—
587C42—28no—
588C42—2216no—
589C42—228no—
590C11#1470611yescharacteristic, complemented, Sylow
591C23—114no—
592C23—118no—
593C23—114no—
594C23—118no—
595C23—114no—
596C23—224no—
597C23—222no—
598C23—222no—
599C23—224no—
600C23—222no—
601C23—224no—
602C23—224no—
603C23—224no—
604C23—224no—
605C23—224no—
606C23—224no—
607C23—224no—
608C23—224no—
609C23—224no—
610C23—222no—
611C23—224no—
612C23—222no—
613C23—222no—
614C23—222no—
615C23—224no—
616C23—224no—
617C23—442no—
618C23—441no—
619C23—442no—
620C23—442no—
621C23—442no—
622C23—442no—
623C23—442no—
624C23—442no—
625C23—441no—
626C23—442no—
627C23—442no—
628C23—442no—
629C23—442no—
630C23—441no—
631C23—441no—
632C23—442no—
633C23C22×C4×D1111yescharacteristic
634C23C2×#433912yes—
635C23C2×D4×D1111yescharacteristic
636C23C2×D4×D1111yescharacteristic
637C23C2×D4×D1112yes—
638C23C2×#434312yes—
639C23#41×D1112yes—
640C23#41×D1112yes—
641C23#41×D1112yes—
642D4—4416no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—41no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—114no—
671C2×C4—118no—
672C2×C4—2232no—
673C2×C4—2264no—
674C2×C4—224no—
675C2×C4—224no—
676C2×C4—224no—
677C2×C4—224no—
678C2×C4—224no—
679C2×C4—222no—
680C2×C4—224no—
681C2×C4—224no—
682C2×C4—224no—
683C2×C4—222no—
684C2×C4—222no—
685C2×C4—224no—
686C2×C4—441no—
687C2×C4—442no—
688C2×C4—441no—
689C2×C4—442no—
690C2×C4—442no—
691C2×C4—442no—
692C2×C4—442no—
693C2×C4—442no—
694C2×C4—442no—
695C2×C4—442no—
696C2×C4C22⋊C4×D1114yes—
697C2×C4#6694718yescomplemented
698C22—118no—
699C22—224no—
700C22—228no—
701C22—228no—
702C22—228no—
703C22—228no—
704C22—228no—
705C22—228no—
706C22—224no—
707C22—442no—
708C22—444no—
709C22—444no—
710C22—442no—
711C22—442no—
712C22—882no—
713C22—882no—
714C22—882no—
715C22—882no—
716C22C4×#433911yescharacteristic
717C22C2×C22⋊C4×D1111yescharacteristic
718C22C2×#6694712yes—
719C22#1062305311yescharacteristic
720C22#1062305912yes—
721C22C4×D4×D1112yes—
722C22#1062307812yes—
723C22#1062307812yes—
724C22#1062307912yes—
725C22C4×#434312yes—
726C22#1062311112yes—
727C22D11×#12011yescharacteristic
728C22D11×#12112yes—
729C22#1062315812yes—
730C22#1062315812yes—
731C22D11×#12312yes—
732C22D11×#12311yescharacteristic
733C22#1062319911yescharacteristic
734C22#1062322212yes—
735C22#1062323712yes—
736C22#1062325611yescharacteristic
737C4—28no—
738C4—24no—
739C4—42no—
740C4—42no—
741C4—82no—
742C4—228no—
743C4—224no—
744C4—442no—
745C4—882no—
746C2—228no—
747C2—882no—
748C2D11×#38611yescharacteristic
749C2#1307110211yescharacteristic
750C2#1307110511yescharacteristic
751C2#1307113712yes—
752C2C4×#6694712yes—
753C2#1307691112yes—
754C2#1307694012yes—
755C2#1307694312yes—
756C2#1307694912yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×#1436C2
socle, cosocleC24×C11C24
prime radicalC23×D44C22
hypercenter#1436D11
hypocenterC11#14706
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1436

Complements

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

NH ≅ G/Ntype
2. C22×C42×D11C2semidirect
4. C2×#10622277C2semidirect
5. #13066854C2semidirect
6. #13066852C2semidirect
7. #13066852C2semidirect
8. #13066848C2semidirect
9. #13066847C2semidirect
10. (C2×D11)⋊#95C2semidirect
11. C11×#1436C2semidirect
28. C2×#66947C4semidirect
72. C2×C11×C4⋊C4C2×C4semidirect
91. C2×(C2×D11)⋊C4C2×C4semidirect
92. C2×(C2×D11)⋊C4C2×C4semidirect
95. C2×Dic11⋊C4C2×C4semidirect
201. C2×C4×D11C22⋊C4semidirect
222. #1436D11semidirect
303. C2×C4×C11#123semidirect
327. C2×Dic11#123semidirect
443. C2×C4⋊C4C4×D11semidirect
590. C11#14706semidirect
697. C2×C4#66947semidirect

Maximal subgroups

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

subgroupindex
C22×#669472
C22×C42×D112
C2×#106222782
C2×#106222772
#130668542
#130668522
#130668482
#130668472
(C2×D11)⋊#952
C11×#14362
#1470611