Finite Group Databasebeta

← #14685100

Subgroups — #14685100

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×#66936C211yesmaximal, characteristic
2C22×C42×D11C211yesmaximal, characteristic, complemented
3C2×#10622569C212yesmaximal
4C2×#10622277C211yesmaximal, characteristic, complemented
5#13066853C212yesmaximal, complemented
6#13066853C211yesmaximal, characteristic, complemented
7#13066851C211yesmaximal, characteristic, complemented
8#13066850C212yesmaximal, complemented
9#13066849C211yesmaximal, characteristic, complemented
10(C2×D11)⋊#95C212yesmaximal, complemented
11C11×#1437C211yesmaximal, characteristic, complemented
12C23×C22⋊D11C2211yescharacteristic
13C23×C4×D11C2212yes—
14C23×C4×D11C2211yescharacteristic
15C22×C11×C22⋊C4C2212yes—
16C22×C11×C22⋊C4C2211yescharacteristic
17C22×C42×C11C2211yescharacteristic
18C22×C22⋊Dic11C2212yes—
19C22×C22⋊Dic11C2211yescharacteristic
20C22×(C2×D11)⋊C4C2212yes—
21C22×(C2×D11)⋊C4C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23C22×Dic11⋊C4C2211yescharacteristic
24C22×C4×Dic11C2212yes—
25C22×C4×Dic11C2211yescharacteristic
26C2×#66936—24no—
27C2×#66936—24no—
28C2×#66936C418yescomplemented
29C2×C42×D11—28no—
30C2×C42×D11—24no—
31C2×C11×#95C2212yes—
32C2×C11×#95C2211yescharacteristic
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C2×C11⋊#95C2212yes—
37C2×C11⋊#95C2211yescharacteristic
38C2×C11⋊#95C2212yes—
39C2×C11⋊#95C2212yes—
40#10622569—28no—
41#10622277—24no—
42C25×C11C2311yescharacteristic
43C24×D11C2311yescharacteristic
44C23×C4×C11C2312yes—
45C23×C4×C11C2311yescharacteristic
46C23×C4×C11C2311yescharacteristic
47C23×C4×C11C2312yes—
48C22×C22⋊D11—22no—
49C22×C22⋊D11—22no—
50C22×C22⋊D11—24no—
51C22×C22⋊D11—24no—
52C22×C22⋊D11C2×C414yes—
53C23×Dic11C2312yes—
54C23×Dic11C2311yescharacteristic
55C23×Dic11C2311yescharacteristic
56C23×Dic11C2311yescharacteristic
57C23×Dic11C2312yes—
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×C22⋊C4—22no—
71C2×C11×C22⋊C4—22no—
72C2×C11×C22⋊C4—24no—
73C2×C11×C22⋊C4—24no—
74C2×C11×C22⋊C4—24no—
75C2×C11×C22⋊C4C2×C414yescomplemented
76C2×C42×C11—22no—
77C2×C42×C11—24no—
78C2×C22⋊Dic11—22no—
79C2×C22⋊Dic11—22no—
80C2×C22⋊Dic11—24no—
81C2×C22⋊Dic11—24no—
82C2×C22⋊Dic11—24no—
83C2×C22⋊Dic11C2×C414yescomplemented
84C2×(C2×D11)⋊C4—22no—
85C2×(C2×D11)⋊C4—22no—
86C2×(C2×D11)⋊C4—24no—
87C2×(C2×D11)⋊C4—24no—
88C2×(C2×D11)⋊C4—24no—
89C2×(C2×D11)⋊C4C2×C414yes—
90C2×C4⋊Dic11—22no—
91C2×C4⋊Dic11—22no—
92C2×C4⋊Dic11C2×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#66936—232no—
102C42×D11—232no—
103C11×#95—22no—
104C11×#95—24no—
105C11⋊#95—22no—
106C11⋊#95—24no—
107C11⋊#95—24no—
108C11⋊#95—24no—
109C11⋊#95—24no—
110C11⋊#95—24no—
111C11⋊#95—24no—
112#14706—111nomaximal, Sylow
113C24×C11—21no—
114C24×C11—21no—
115C24×C11—22no—
116C24×C11—22no—
117C24×C11—22no—
118C24×C11—22no—
119C24×C11—22no—
120C24×C11—22no—
121C24×C11C22×C412yes—
122C24×C11C2411yescharacteristic
123C23×D11—22no—
124C23×D11—22no—
125C23×D11—22no—
126C23×D11—22no—
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—21no—
139C22×C4×C11—21no—
140C22×C4×C11—22no—
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×D412yes—
152C22×C4×C11C2×D412yes—
153C22×C4×C11C2×D414yes—
154C22×C4×C11#4114yes—
155C22×C4×C11#4114yes—
156C2×C22⋊D11—28no—
157C2×C22⋊D11—216no—
158C2×C22⋊D11—44no—
159C2×C22⋊D11—48no—
160C2×C22⋊D11—44no—
161C22×Dic11—22no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—22no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—21no—
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×Dic11—22no—
179C22×Dic11—22no—
180C22×Dic11—22no—
181C22×Dic11—22no—
182C22×Dic11C22×C412yes—
183C22×Dic11C22×C412yes—
184C22×Dic11C22×C412yes—
185C22×Dic11C2×D412yes—
186C22×Dic11C2×D412yes—
187C22×Dic11C2×D414yes—
188C22×Dic11#4114yes—
189C22×Dic11#4114yes—
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×C22⋊C4—28no—
203C11×C22⋊C4—48no—
204C42×C11—28no—
205C22⋊Dic11—28no—
206C22⋊Dic11—48no—
207(C2×D11)⋊C4—28no—
208(C2×D11)⋊C4—48no—
209C4⋊Dic11—28no—
210Dic11⋊C4—28no—
211C4×Dic11—216no—
212C4×Dic11—28no—
213C22×#123—111no—
214C23×C42—111no—
215C2×#386—112no—
216C2×#381—111no—
217#1437—112no—
218#1437—111no—
219#1437D1111yescharacteristic, complemented
220#1436—111no—
221#1436—112no—
222#1436—111no—
223C22⋊#95—112no—
224C23×C11—22no—
225C23×C11—24no—
226C23×C11—22no—
227C23×C11—22no—
228C23×C11—24no—
229C23×C11—41no—
230C23×C11—42no—
231C23×C11—42no—
232C23×C11—42no—
233C23×C11—41no—
234C23×C11—42no—
235C23×C11—42no—
236C23×C11—42no—
237C23×C11—42no—
238C23×C11—42no—
239C23×C11—42no—
240C23×C11—42no—
241C23×C11—42no—
242C23×C11—41no—
243C23×C11—42no—
244C23×C11—41no—
245C23×C11C23×C411yescharacteristic
246C23×C11C22×D411yescharacteristic
247C23×C11C22×D411yescharacteristic
248C23×C11C22×D412yes—
249C23×C11C2×#4112yes—
250C23×C11C2×#4112yes—
251C23×C11C2×#4112yes—
252C23×C11C2×#4112yes—
253C23×C11C2×#4112yes—
254C22×D11—22no—
255C22×D11—22no—
256C22×D11—24no—
257C22×D11—24no—
258C22×D11—24no—
259C22×D11—24no—
260C22×D11—24no—
261C22×D11—24no—
262C22×D11—24no—
263C22×D11—24no—
264C22×D11—24no—
265C22×D11—24no—
266C22×D11—24no—
267C22×D11—22no—
268C22×D11—24no—
269C22×D11—22no—
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—24no—
287C2×C4×C11—42no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—42no—
291C2×C4×C11—42no—
292C2×C4×C11—42no—
293C2×C4×C11—42no—
294C2×C4×C11—42no—
295C2×C4×C11—42no—
296C2×C4×C11—42no—
297C2×C4×C11C2×C22⋊C414yes—
298C2×C4×C11#12318yescomplemented
299C22⋊D11—416no—
300C2×Dic11—24no—
301C2×Dic11—24no—
302C2×Dic11—22no—
303C2×Dic11—24no—
304C2×Dic11—24no—
305C2×Dic11—22no—
306C2×Dic11—24no—
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—24no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—24no—
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—41no—
316C2×Dic11—42no—
317C2×Dic11—41no—
318C2×Dic11—42no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11—42no—
322C2×Dic11—42no—
323C2×Dic11—42no—
324C2×Dic11—42no—
325C2×Dic11—42no—
326C2×Dic11—42no—
327C2×Dic11C2×C22⋊C414yes—
328C2×Dic11#12318yescomplemented
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⋊C4—111no—
339C22×C22⋊C4—111no—
340C22×C22⋊C4—111no—
341C22×C22⋊C4—112no—
342C22×C22⋊C4—112no—
343C22×C22⋊C4C2×D1112yes—
344C22×C22⋊C4C2×D1111yescharacteristic
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—112no—
358C2×#95—111no—
359C2×#95C2×D1112yes—
360C2×#95C2×D1111yescharacteristic
361C22×C11—42no—
362C22×C11—42no—
363C22×C11—42no—
364C22×C11—44no—
365C22×C11—44no—
366C22×C11—82no—
367C22×C11—82no—
368C22×C11—82no—
369C22×C11—82no—
370C22×C11C22×C22⋊C411yescharacteristic
371C22×C11C2×C4×D412yes—
372C22×C11C4×#4111yescharacteristic
373C22×C11C4×#4111yescharacteristic
374C22×C11C4×#4112yes—
375C22×C11C2×#12011yescharacteristic
376C22×C11C2×#12112yes—
377C22×C11C2×#12312yes—
378C22×C11C2×#12312yes—
379C22×C11C2×#12311yescharacteristic
380C22×C11#52512yes—
381C22×C11#52512yes—
382C22×C11#52512yes—
383C22×C11#52512yes—
384C22×C11#52912yes—
385C22×C11#52912yes—
386C22×C11#52912yes—
387C22×C11#52912yes—
388C22×C11#53211yescharacteristic
389C22×C11#53212yes—
390C22×C11#53211yescharacteristic
391C2×D11—28no—
392C2×D11—28no—
393C2×D11—28no—
394C2×D11—28no—
395C2×D11—24no—
396C2×D11—24no—
397C2×D11—28no—
398C2×D11—28no—
399C2×D11#38618yes—
400C4×C11—28no—
401C4×C11—24no—
402C4×C11—42no—
403C4×C11—82no—
404Dic11—28no—
405Dic11—24no—
406Dic11—42no—
407Dic11—42no—
408Dic11—82no—
409C25—111no—
410C25C22×D1111yescharacteristic
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—111no—
423C23×C4—118no—
424C23×C4—112no—
425C23×C4—224no—
426C23×C4—224no—
427C23×C4—224no—
428C23×C4—224no—
429C23×C4—224no—
430C23×C4—224no—
431C23×C4—224no—
432C23×C4—224no—
433C23×C4C22×D1112yes—
434C23×C4C22×D1111yescharacteristic
435C23×C4C22×D1111yescharacteristic
436C23×C4C22×D1112yes—
437#123—2232no—
438C2×C4⋊C4—114no—
439C2×C4⋊C4—114no—
440C2×C4⋊C4—222no—
441C2×C4⋊C4—222no—
442C2×C4⋊C4—222no—
443C2×C4⋊C4—222no—
444C2×C22⋊C4—22no—
445C2×C22⋊C4—22no—
446C2×C22⋊C4—24no—
447C2×C22⋊C4—24no—
448C2×C22⋊C4—24no—
449C2×C22⋊C4—114no—
450C2×C22⋊C4—114no—
451C2×C22⋊C4—222no—
452C2×C22⋊C4—222no—
453C2×C22⋊C4—222no—
454C2×C22⋊C4—222no—
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⋊C4C4×D1114yescomplemented
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—22no—
471#95—24no—
472#95—224no—
473#95—224no—
474#95—224no—
475#95—224no—
476#95—224no—
477#95—222no—
478#95—224no—
479C2×C11—82no—
480C2×C11C2×#38611yescharacteristic
481C2×C11#229711yescharacteristic
482C2×C11#229711yescharacteristic
483C2×C11C4×#12312yes—
484C2×C11C4×#12312yes—
485C2×C11#284912yes—
486C2×C11#285312yes—
487C2×C11#285412yes—
488C2×C11#285412yes—
489D11—28no—
490C24—22no—
491C24—21no—
492C24—21no—
493C24—22no—
494C24—22no—
495C24—22no—
496C24—22no—
497C24—22no—
498C24—112no—
499C24—112no—
500C24—112no—
501C24—114no—
502C24—114no—
503C24—222no—
504C24—222no—
505C24—222no—
506C24—222no—
507C24C2×C4×D1112yes—
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—21no—
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—112no—
532C22×C4—112no—
533C22×C4—114no—
534C22×C4—112no—
535C22×C4—114no—
536C22×C4—114no—
537C22×C4—1116no—
538C22×C4—112no—
539C22×C4—112no—
540C22×C4—2216no—
541C22×C4—228no—
542C22×C4—2216no—
543C22×C4—2216no—
544C22×C4—2216no—
545C22×C4—228no—
546C22×C4—2216no—
547C22×C4—2216no—
548C22×C4—2216no—
549C22×C4—2216no—
550C22×C4—222no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—222no—
554C22×C4—222no—
555C22×C4—222no—
556C22×C4—2216no—
557C22×C4—222no—
558C22×C4—222no—
559C22×C4—221no—
560C22×C4—221no—
561C22×C4—221no—
562C22×C4—221no—
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×C4—222no—
572C22×C4C2×C4×D1112yes—
573C22×C4C2×C4×D1112yes—
574C22×C4#433914yes—
575C22×C4D4×D1112yes—
576C22×C4D4×D1112yes—
577C22×C4D4×D1114yes—
578C22×C4#434114yes—
579C4⋊C4—228no—
580C4⋊C4—228no—
581C22⋊C4—28no—
582C22⋊C4—48no—
583C22⋊C4—228no—
584C22⋊C4—228no—
585C22⋊C4—448no—
586C22⋊C4—448no—
587C42—28no—
588C42—2216no—
589C42—228no—
590C11#1470611yescharacteristic, complemented, Sylow
591C23—22no—
592C23—22no—
593C23—22no—
594C23—24no—
595C23—24no—
596C23—42no—
597C23—41no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—41no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—41no—
610C23—41no—
611C23—42no—
612C23—114no—
613C23—118no—
614C23—114no—
615C23—118no—
616C23—114no—
617C23—224no—
618C23—222no—
619C23—222no—
620C23—224no—
621C23—222no—
622C23—224no—
623C23—224no—
624C23—224no—
625C23—224no—
626C23—224no—
627C23—224no—
628C23—224no—
629C23—224no—
630C23—224no—
631C23—222no—
632C23—224no—
633C23C22×C4×D1111yescharacteristic
634C23C2×#433912yes—
635C23C2×D4×D1111yescharacteristic
636C23C2×D4×D1111yescharacteristic
637C23C2×D4×D1112yes—
638C23C2×#434112yes—
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—24no—
655C2×C4—41no—
656C2×C4—42no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—114no—
666C2×C4—118no—
667C2×C4—2232no—
668C2×C4—2264no—
669C2×C4—224no—
670C2×C4—224no—
671C2×C4—224no—
672C2×C4—224no—
673C2×C4—224no—
674C2×C4—222no—
675C2×C4—224no—
676C2×C4—224no—
677C2×C4—224no—
678C2×C4—222no—
679C2×C4—222no—
680C2×C4—222no—
681C2×C4—222no—
682C2×C4—222no—
683C2×C4—224no—
684C2×C4—442no—
685C2×C4—442no—
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#6693618yescomplemented
698C22—44no—
699C22—44no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—82no—
704C22—82no—
705C22—82no—
706C22—82no—
707C22—118no—
708C22—228no—
709C22—228no—
710C22—228no—
711C22—228no—
712C22—228no—
713C22—228no—
714C22—224no—
715C22—224no—
716C22C4×#433911yescharacteristic
717C22C2×C22⋊C4×D1111yescharacteristic
718C22C2×#6693612yes—
719C22#1062305311yescharacteristic
720C22#1062305912yes—
721C22C4×#434112yes—
722C22C4×D4×D1112yes—
723C22#1062307812yes—
724C22#1062307812yes—
725C22#1062307912yes—
726C22#1062308812yes—
727C22D11×#12011yescharacteristic
728C22D11×#12112yes—
729C22#1062313712yes—
730C22#1062313712yes—
731C22D11×#12312yes—
732C22D11×#12311yescharacteristic
733C22#1062319911yescharacteristic
734C22#1062321112yes—
735C22#1062323712yes—
736C22#1062324711yescharacteristic
737C4—28no—
738C4—24no—
739C4—42no—
740C4—82no—
741C4—228no—
742C4—224no—
743C4—442no—
744C4—442no—
745C4—882no—
746C2—82no—
747C2—228no—
748C2D11×#38611yescharacteristic
749C2#1307110211yescharacteristic
750C2#1307110311yescharacteristic
751C2C4×#6693612yes—
752C2#1307114312yes—
753C2#1307690712yes—
754C2#1307693612yes—
755C2#1307694312yes—
756C2#1307694612yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×#1437C2
socle, cosocleC24×C11C24
prime radicalC23×C22⋊D11C22
hypercenter#1437D11
hypocenterC11#14706
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1437

Complements

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

NH ≅ G/Ntype
2. C22×C42×D11C2semidirect
4. C2×#10622277C2semidirect
5. #13066853C2semidirect
6. #13066853C2semidirect
7. #13066851C2semidirect
8. #13066850C2semidirect
9. #13066849C2semidirect
10. (C2×D11)⋊#95C2semidirect
11. C11×#1437C2semidirect
28. C2×#66936C4semidirect
75. C2×C11×C22⋊C4C2×C4semidirect
83. C2×C22⋊Dic11C2×C4semidirect
92. C2×C4⋊Dic11C2×C4semidirect
95. C2×Dic11⋊C4C2×C4semidirect
201. C2×C4×D11C22⋊C4semidirect
219. #1437D11semidirect
298. C2×C4×C11#123semidirect
328. C2×Dic11#123semidirect
461. C2×C22⋊C4C4×D11semidirect
590. C11#14706semidirect
697. C2×C4#66936semidirect

Maximal subgroups

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

subgroupindex
C22×#669362
C22×C42×D112
C2×#106225692
C2×#106222772
#130668532
#130668512
#130668502
#130668492
(C2×D11)⋊#952
C11×#14372
#1470611