Finite Group Databasebeta

← #14675666

Subgroups — #14675666

Order 2816.

2590 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×D4×Dic11C211yesmaximal, characteristic
2C22×#66930C211yesmaximal, characteristic, complemented
3C2×#10622555C211yesmaximal, characteristic, complemented
4C2×#10622555C212yesmaximal, complemented
5#13066863C211yesmaximal, characteristic, complemented
6#13066863C211yesmaximal, characteristic, complemented
7#13066857C211yesmaximal, characteristic
8#13066853C212yesmaximal, complemented
9#13066850C212yesmaximal, complemented
10Dic11⋊#95C212yesmaximal, complemented
11C11×#1438C211yesmaximal, characteristic
12C23×D4×C11C2211yescharacteristic
13C24×Dic11C2211yescharacteristic
14C24×Dic11C2211yescharacteristic
15C22×C11×C22⋊C4C2211yescharacteristic
16C22×C11×C22⋊C4C2212yes—
17C22×C11×C22⋊C4C2211yescharacteristic
18C22×C22⋊Dic11C2211yescharacteristic
19C22×C22⋊Dic11C2212yes—
20C22×C22⋊Dic11C2211yescharacteristic
21C22×C22⋊Dic11C2211yescharacteristic
22C22×C22⋊Dic11C2211yescharacteristic
23C2×D4×Dic11—24no—
24C2×D4×Dic11—24no—
25C2×D4×Dic11C418yescomplemented
26C22×C4⋊Dic11C2211yescharacteristic
27C22×Dic11⋊C4C2212yes—
28C22×Dic11⋊C4C2212yes—
29C22×C4×Dic11C2212yes—
30C22×C4×Dic11C2211yescharacteristic
31C2×#66930—24no—
32C2×#66930—28no—
33C2×C11×#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C2×C11⋊#95C2212yes—
37C2×C11⋊#95C2212yes—
38C2×C11⋊#95C2212yes—
39C2×C11⋊#95C2212yes—
40#10622555—24no—
41#10622555—28no—
42C25×C11C2311yescharacteristic
43C25×C11C2311yescharacteristic
44C22×D4×C11—22no—
45C22×D4×C11—22no—
46C22×D4×C11—24no—
47C22×D4×C11—24no—
48C22×D4×C11C2×C414yes—
49C23×C4×C11C2312yes—
50C23×C4×C11C2312yes—
51C23×C4×C11C2311yescharacteristic
52C23×Dic11—24no—
53C23×Dic11—24no—
54C23×Dic11—24no—
55C23×Dic11—22no—
56C23×Dic11—22no—
57C23×Dic11—24no—
58C23×Dic11C2×C414yes—
59C23×Dic11C2×C414yes—
60C23×Dic11D414yes—
61C23×Dic11D414yes—
62C23×Dic11C2312yes—
63C23×Dic11C2311yescharacteristic
64C23×Dic11C2311yescharacteristic
65C23×Dic11C2312yes—
66C23×Dic11C2311yescharacteristic
67C23×Dic11C2311yescharacteristic
68C2×C11×C22⋊C4—22no—
69C2×C11×C22⋊C4—24no—
70C2×C11×C22⋊C4—22no—
71C2×C11×C22⋊C4—24no—
72C2×C11×C22⋊C4—24no—
73C2×C11×C22⋊C4—42no—
74C2×C11×C22⋊C4—42no—
75C2×C22⋊Dic11—22no—
76C2×C22⋊Dic11—22no—
77C2×C22⋊Dic11—22no—
78C2×C22⋊Dic11—24no—
79C2×C22⋊Dic11—22no—
80C2×C22⋊Dic11—22no—
81C2×C22⋊Dic11—22no—
82C2×C22⋊Dic11—24no—
83C2×C22⋊Dic11—24no—
84C2×C22⋊Dic11—42no—
85C2×C22⋊Dic11—42no—
86C2×C22⋊Dic11C2×C414yes—
87C2×C22⋊Dic11C2×C414yes—
88D4×Dic11—232no—
89C2×C4⋊Dic11—22no—
90C2×C4⋊Dic11—22no—
91C2×C4⋊Dic11C2×C414yes—
92C2×Dic11⋊C4—24no—
93C2×Dic11⋊C4—24no—
94C2×Dic11⋊C4—24no—
95C2×Dic11⋊C4—24no—
96C2×Dic11⋊C4—24no—
97C2×Dic11⋊C4D418yescomplemented
98C2×C4×Dic11—24no—
99C2×C4×Dic11—24no—
100C2×C4×Dic11—24no—
101C2×C4×Dic11—22no—
102C2×C4×Dic11—22no—
103C2×C4×Dic11C2×C414yes—
104#66930—232no—
105C11×#95—24no—
106C11⋊#95—24no—
107C11⋊#95—24no—
108C11⋊#95—24no—
109C11⋊#95—24no—
110C11⋊#95—42no—
111C11⋊#95—42no—
112#13871—111nomaximal, Sylow
113C24×C11—22no—
114C24×C11—22no—
115C24×C11—21no—
116C24×C11—21no—
117C24×C11—22no—
118C24×C11—22no—
119C24×C11—22no—
120C24×C11—22no—
121C24×C11—22no—
122C24×C11—22no—
123C24×C11—22no—
124C24×C11—22no—
125C24×C11—22no—
126C24×C11C22×C412yes—
127C24×C11C22×C412yes—
128C24×C11C2×D412yes—
129C24×C11C2×D412yes—
130C24×C11#4114yes—
131C24×C11C2411yescharacteristic
132C2×D4×C11—216no—
133C2×D4×C11—216no—
134C2×D4×C11—28no—
135C2×D4×C11—28no—
136C2×D4×C11—28no—
137C22×C4×C11—21no—
138C22×C4×C11—21no—
139C22×C4×C11—22no—
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×C11—22no—
150C22×C4×C11—22no—
151C22×C4×C11—22no—
152C22×C4×C11—22no—
153C22×C4×C11C22×C412yes—
154C22×C4×C11C2×D414yes—
155C22×C4×C11#4114yes—
156C22×Dic11—216no—
157C22×Dic11—28no—
158C22×Dic11—216no—
159C22×Dic11—28no—
160C22×Dic11—28no—
161C22×Dic11—216no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—22no—
165C22×Dic11—22no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—21no—
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×Dic11—22no—
183C22×Dic11—22no—
184C22×Dic11—22no—
185C22×Dic11—44no—
186C22×Dic11—48no—
187C22×Dic11—44no—
188C22×Dic11C22⋊C4116yescomplemented
189C22×Dic11C22×C412yes—
190C22×Dic11C22×C412yes—
191C22×Dic11C22×C412yes—
192C22×Dic11C22×C412yes—
193C22×Dic11C2×D414yes—
194C22×Dic11C2×D412yes—
195C22×Dic11C2×D412yes—
196C22×Dic11C2×D412yes—
197C22×Dic11C2×D412yes—
198C22×Dic11C2×D414yes—
199C22×Dic11#4114yes—
200C11×C22⋊C4—28no—
201C11×C22⋊C4—48no—
202C11×C22⋊C4—44no—
203C22⋊Dic11—28no—
204C22⋊Dic11—28no—
205C22⋊Dic11—28no—
206C22⋊Dic11—48no—
207C22⋊Dic11—44no—
208C4⋊Dic11—28no—
209Dic11⋊C4—216no—
210Dic11⋊C4—48no—
211C4×Dic11—216no—
212C4×Dic11—28no—
213C22×C4×D4—111no—
214C22×#117—111no—
215C2×#380—112no—
216C2×#380—111no—
217#1440—111no—
218#1440—111no—
219#1438—111no—
220#1438D1111yescharacteristic
221#1437—112no—
222#1436—112no—
223C4⋊#95—112no—
224C23×C11—22no—
225C23×C11—22no—
226C23×C11—22no—
227C23×C11—22no—
228C23×C11—24no—
229C23×C11—24no—
230C23×C11—24no—
231C23×C11—24no—
232C23×C11—22no—
233C23×C11—24no—
234C23×C11—22no—
235C23×C11—24no—
236C23×C11—24no—
237C23×C11—24no—
238C23×C11—24no—
239C23×C11—22no—
240C23×C11—22no—
241C23×C11—24no—
242C23×C11—24no—
243C23×C11—24no—
244C23×C11—24no—
245C23×C11—24no—
246C23×C11—41no—
247C23×C11—42no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—42no—
252C23×C11—42no—
253C23×C11—42no—
254C23×C11—42no—
255C23×C11—42no—
256C23×C11—42no—
257C23×C11—42no—
258C23×C11—42no—
259C23×C11—42no—
260C23×C11—42no—
261C23×C11—42no—
262C23×C11—42no—
263C23×C11—42no—
264C23×C11C2×C22⋊C414yes—
265C23×C11#11714yescomplemented
266C23×C11C23×C411yescharacteristic
267C23×C11C22×D411yescharacteristic
268C23×C11C22×D411yescharacteristic
269C23×C11C22×D412yes—
270C23×C11C2×#4112yes—
271C23×C11C2×#4112yes—
272C23×C11C2×#4112yes—
273C23×C11H(5,𝔽2)12yes—
274C23×C112−1+412yes—
275D4×C11—232no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—24no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—42no—
284C2×C4×C11—42no—
285C2×C4×C11—42no—
286C2×C4×C11—42no—
287C2×C4×C11—42no—
288C2×C4×C11—42no—
289C2×C4×C11—42no—
290C2×C4×C11—42no—
291C2×C4×C11—42no—
292C2×C4×C11—42no—
293C2×C4×C11—42no—
294C2×C4×C11#11714yescomplemented
295C2×Dic11—24no—
296C2×Dic11—22no—
297C2×Dic11—24no—
298C2×Dic11—22no—
299C2×Dic11—232no—
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—24no—
303C2×Dic11—24no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—41no—
308C2×Dic11—42no—
309C2×Dic11—41no—
310C2×Dic11—42no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C2×Dic11—416no—
318C2×Dic11—42no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11—42no—
322C2×Dic11—42no—
323C2×Dic11—42no—
324C2×Dic11—42no—
325C2×Dic11C2×C22⋊C414yes—
326C2×Dic11C2×C22⋊C414yes—
327C2×Dic11C4×D418yes—
328C2×Dic11#12014yes—
329C2×Dic11#12118yes—
330C2×Dic11#12314yes—
331C23×D4C2×D1111yescharacteristic
332C24×C4—111no—
333C24×C4—111no—
334C2×C4×D4—118no—
335C2×C4×D4—224no—
336C2×C4×D4—224no—
337C2×#117—228no—
338C2×#117—224no—
339C22×C4⋊C4—112no—
340C22×C4⋊C4—111no—
341C22×C4⋊C4—112no—
342C22×C22⋊C4—111no—
343C22×C22⋊C4—111no—
344C22×C22⋊C4—111no—
345C22×C22⋊C4—112no—
346C22×C22⋊C4—111no—
347C22×C22⋊C4C2×D1111yescharacteristic
348C22×C22⋊C4C2×D1112yes—
349C22×C22⋊C4C2×D1111yescharacteristic
350C22×C42—111no—
351C22×C42—112no—
352#380—228no—
353#380—224no—
354C2×#95—112no—
355C2×#95—112no—
356C2×#95—112no—
357C2×#95—112no—
358C2×#95—112no—
359C2×#95—112no—
360C2×#95C2×D1112yes—
361C22×C11—24no—
362C22×C11—28no—
363C22×C11—24no—
364C22×C11—24no—
365C22×C11—24no—
366C22×C11—42no—
367C22×C11—44no—
368C22×C11—44no—
369C22×C11—44no—
370C22×C11—44no—
371C22×C11—44no—
372C22×C11—44no—
373C22×C11—44no—
374C22×C11—44no—
375C22×C11—44no—
376C22×C11—44no—
377C22×C11—44no—
378C22×C11—42no—
379C22×C11C22×C22⋊C411yescharacteristic
380C22×C11C2×#11711yescharacteristic
381C22×C11C2×#11711yescharacteristic
382C22×C11C2×C4×D412yes—
383C22×C11#52012yes—
384C22×C11C2×#12011yescharacteristic
385C22×C11C2×#12112yes—
386C22×C11C2×#12311yescharacteristic
387C22×C11#52512yes—
388C22×C11#52512yes—
389C22×C11#53511yescharacteristic
390C22×C11#53611yescharacteristic
391C22×C11#53712yes—
392C22×C11#54612yes—
393C22×C11#54712yes—
394C22×C11#54812yes—
395C22×C11#55012yes—
396C22×C11#55212yes—
397C22×C11#55312yes—
398C22×C11#55512yes—
399C22×C11#55612yes—
400C4×C11—24no—
401C4×C11—44no—
402C4×C11—82no—
403Dic11—24no—
404Dic11—42no—
405Dic11—44no—
406Dic11—42no—
407Dic11—82no—
408Dic11#38618yes—
409C25C22×D1111yescharacteristic
410C25C22×D1111yescharacteristic
411C22×D4—22no—
412C22×D4—22no—
413C22×D4—24no—
414C22×D4—24no—
415C22×D4C4×D1114yes—
416C23×C4—111no—
417C23×C4—114no—
418C23×C4—114no—
419C23×C4—114no—
420C23×C4—111no—
421C23×C4—114no—
422C23×C4—112no—
423C23×C4—111no—
424C23×C4—111no—
425C23×C4—112no—
426C23×C4—224no—
427C23×C4—224no—
428C23×C4—222no—
429C23×C4—222no—
430C23×C4—224no—
431C23×C4—224no—
432C23×C4C22×D1112yes—
433C23×C4C22×D1112yes—
434C23×C4C22×D1111yescharacteristic
435C4×D4—2232no—
436#117—2232no—
437C2×C4⋊C4—114no—
438C2×C4⋊C4—118no—
439C2×C4⋊C4—224no—
440C2×C4⋊C4—224no—
441C2×C4⋊C4—222no—
442C2×C4⋊C4—222no—
443C2×C4⋊C4—224no—
444C2×C4⋊C4—224no—
445C2×C4⋊C4—224no—
446C2×C22⋊C4—22no—
447C2×C22⋊C4—24no—
448C2×C22⋊C4—22no—
449C2×C22⋊C4—24no—
450C2×C22⋊C4—24no—
451C2×C22⋊C4—42no—
452C2×C22⋊C4—42no—
453C2×C22⋊C4—114no—
454C2×C22⋊C4—114no—
455C2×C22⋊C4—224no—
456C2×C22⋊C4—222no—
457C2×C22⋊C4—222no—
458C2×C22⋊C4—222no—
459C2×C22⋊C4—222no—
460C2×C22⋊C4—222no—
461C2×C22⋊C4—224no—
462C2×C22⋊C4—222no—
463C2×C22⋊C4—224no—
464C2×C22⋊C4—442no—
465C2×C22⋊C4—442no—
466C2×C42—114no—
467C2×C42—224no—
468C2×C42—224no—
469C2×C42—222no—
470C2×C42—222no—
471C2×C42—224no—
472#95—24no—
473#95—224no—
474#95—224no—
475#95—224no—
476#95—224no—
477#95—442no—
478#95—442no—
479C2×C11—44no—
480C2×C11—44no—
481C2×C11#228011yescharacteristic
482C2×C11C2×#38611yescharacteristic
483C2×C11#231111yescharacteristic
484C2×C11#235212yes—
485C2×C11#235412yes—
486C2×C11#240712yes—
487C2×C11#241412yes—
488C2×C11#241512yes—
489C2×C11#248512yes—
490C24—22no—
491C24—22no—
492C24—21no—
493C24—21no—
494C24—22no—
495C24—22no—
496C24—22no—
497C24—22no—
498C24—22no—
499C24—22no—
500C24—22no—
501C24—22no—
502C24—22no—
503C24C2×C4×D1112yes—
504C24C2×C4×D1112yes—
505C24D4×D1112yes—
506C24D4×D1112yes—
507C24#434114yes—
508C24C23×D1111yescharacteristic
509C2×D4—216no—
510C2×D4—216no—
511C2×D4—28no—
512C2×D4—28no—
513C2×D4—28no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
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—112no—
531C22×C4—112no—
532C22×C4—112no—
533C22×C4—114no—
534C22×C4—114no—
535C22×C4—1116no—
536C22×C4—112no—
537C22×C4—112no—
538C22×C4—112no—
539C22×C4—112no—
540C22×C4—112no—
541C22×C4—114no—
542C22×C4—228no—
543C22×C4—2216no—
544C22×C4—2216no—
545C22×C4—228no—
546C22×C4—228no—
547C22×C4—2216no—
548C22×C4—222no—
549C22×C4—222no—
550C22×C4—222no—
551C22×C4—221no—
552C22×C4—221no—
553C22×C4—222no—
554C22×C4—222no—
555C22×C4—221no—
556C22×C4—221no—
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—222no—
568C22×C4—222no—
569C22×C4—222no—
570C22×C4—222no—
571C22×C4—444no—
572C22×C4—448no—
573C22×C4—444no—
574C22×C4C2×C4×D1112yes—
575C22×C4D4×D1114yes—
576C22×C4#434114yes—
577C4⋊C4—2216no—
578C4⋊C4—228no—
579C4⋊C4—448no—
580C22⋊C4—28no—
581C22⋊C4—48no—
582C22⋊C4—44no—
583C22⋊C4—228no—
584C22⋊C4—228no—
585C22⋊C4—228no—
586C22⋊C4—448no—
587C22⋊C4—444no—
588C42—228no—
589C42—2216no—
590C11#1387111yescharacteristic, complemented, Sylow
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—22no—
604C23—24no—
605C23—22no—
606C23—24no—
607C23—24no—
608C23—24no—
609C23—24no—
610C23—22no—
611C23—24no—
612C23—22no—
613C23—42no—
614C23—42no—
615C23—41no—
616C23—42no—
617C23—41no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—41no—
627C23—42no—
628C23—41no—
629C23—42no—
630C23—42no—
631C23#6693014yescomplemented
632C23C22⋊C4×D1114yes—
633C23C22×C4×D1111yescharacteristic
634C23C2×D4×D1112yes—
635C23C2×D4×D1111yescharacteristic
636C23C2×D4×D1111yescharacteristic
637C23C2×#434112yes—
638C23C2×#434112yes—
639C23#6703712yes—
640C23#41×D1112yes—
641C23#6704312yes—
642D4—232no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—114no—
662C2×C4—118no—
663C2×C4—114no—
664C2×C4—118no—
665C2×C4—114no—
666C2×C4—114no—
667C2×C4—2232no—
668C2×C4—224no—
669C2×C4—222no—
670C2×C4—224no—
671C2×C4—222no—
672C2×C4—222no—
673C2×C4—222no—
674C2×C4—224no—
675C2×C4—224no—
676C2×C4—224no—
677C2×C4—224no—
678C2×C4—224no—
679C2×C4—4416no—
680C2×C4—442no—
681C2×C4—442no—
682C2×C4—441no—
683C2×C4—441no—
684C2×C4—442no—
685C2×C4—442no—
686C2×C4—442no—
687C2×C4—442no—
688C2×C4—441no—
689C2×C4—441no—
690C2×C4—442no—
691C2×C4—442no—
692C2×C4—442no—
693C2×C4—442no—
694C2×C4—442no—
695C2×C4—442no—
696C2×C4—442no—
697C2×C4#6693014yescomplemented
698C22—24no—
699C22—24no—
700C22—24no—
701C22—24no—
702C22—28no—
703C22—44no—
704C22—44no—
705C22—44no—
706C22—44no—
707C22—42no—
708C22—44no—
709C22—44no—
710C22—44no—
711C22—44no—
712C22—42no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22C2×#6693011yescharacteristic
717C22C2×#6693011yescharacteristic
718C22C2×C22⋊C4×D1111yescharacteristic
719C22C4×D4×D1112yes—
720C22#1062307712yes—
721C22#1062311712yes—
722C22#1062311712yes—
723C22D11×#12011yescharacteristic
724C22#1062312212yes—
725C22#1062312311yescharacteristic
726C22#1062312812yes—
727C22#1062312912yes—
728C22#1062313212yes—
729C22D11×#12112yes—
730C22#1062314212yes—
731C22#1062314712yes—
732C22#1062317911yescharacteristic
733C22#1062318112yes—
734C22D11×#12311yescharacteristic
735C22#1062320212yes—
736C22#1062324912yes—
737C4—24no—
738C4—44no—
739C4—82no—
740C4—118no—
741C4—224no—
742C4—444no—
743C4—442no—
744C4—442no—
745C4—882no—
746C2—44no—
747C2—44no—
748C2#1307099411yescharacteristic
749C2D11×#38611yescharacteristic
750C2#1307120311yescharacteristic
751C2#1307154312yes—
752C2#1307156412yes—
753C2#1307195412yes—
754C2#1307202712yes—
755C2#1307203812yes—
756C2#1307290612yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×#1438C2
socle, cosocleC24×C11C24
prime radicalC23×D4×C11C22
hypercenter#1438D11
hypocenterC11#13871
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1438

Complements

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

NH ≅ G/Ntype
2. C22×#66930C2semidirect
3. C2×#10622555C2semidirect
4. C2×#10622555C2semidirect
5. #13066863C2semidirect
6. #13066863C2semidirect
8. #13066853C2semidirect
9. #13066850C2semidirect
10. Dic11⋊#95C2semidirect
25. C2×D4×Dic11C4semidirect
97. C2×Dic11⋊C4D4semidirect
188. C22×Dic11C22⋊C4semidirect
265. C23×C11#117semidirect
294. C2×C4×C11#117semidirect
590. C11#13871semidirect
631. C23#66930semidirect
697. C2×C4#66930semidirect

Maximal subgroups

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

subgroupindex
C22×D4×Dic112
C22×#669302
C2×#106225552
#130668632
#130668572
#130668532
#130668502
Dic11⋊#952
C11×#14382
#1387111