Finite Group Databasebeta

← #14681696

Subgroups — #14681696

Order 2816.

2118 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622834C211yesmaximal, characteristic
2C2×#10622833C211yesmaximal, characteristic
3C2×#10622563C212yesmaximal, complemented
4C2×#10622825C212yesmaximal, complemented
5#13066881C212yesmaximal, complemented
6#13066861C212yesmaximal, complemented
7#13066861C212yesmaximal, complemented
8#13066850C212yesmaximal, complemented
9C2×C11×#386C211yesmaximal, characteristic
10C23×D4×C11C2211yescharacteristic
11C24×C4×C11C2211yescharacteristic
12C24×Dic11C2211yescharacteristic
13C22×C11×C22⋊C4C2212yes—
14C22×C11×C22⋊C4C2211yescharacteristic
15C22×C22⋊Dic11C2212yes—
16C22×C22⋊Dic11C2212yes—
17C22×C22⋊Dic11C2212yes—
18C22×C22⋊Dic11C2211yescharacteristic
19C22×C4⋊Dic11C2212yes—
20C22×C4⋊Dic11C2212yes—
21C22×C4⋊Dic11C2212yes—
22C22×C4⋊Dic11C2211yescharacteristic
23C22×C4×Dic11C2211yescharacteristic
24C11×#386C418yescomplemented
25C2×C11×#95C2212yes—
26#10622834—24no—
27#10622833—24no—
28#10622825—28no—
29C2×C11⋊#95C2212yes—
30C2×C11⋊#95C2212yes—
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35#10622563—28no—
36C25×C11C2311yescharacteristic
37C25×C11C2311yescharacteristic
38C22×D4×C11—41no—
39C22×D4×C11—41no—
40C22×D4×C11—41no—
41C22×D4×C11—41no—
42C22×D4×C11C2×C414yes—
43C22×D4×C11D414yes—
44C22×D4×C11Q814yes—
45C23×C4×C11—24no—
46C23×C4×C11—24no—
47C23×C4×C11—41no—
48C23×C4×C11—41no—
49C23×C4×C11C2×C414yescomplemented
50C23×C4×C11C2312yes—
51C23×C4×C11C2311yescharacteristic
52C23×C4×C11C2312yes—
53C23×Dic11—22no—
54C23×Dic11—24no—
55C23×Dic11—41no—
56C23×Dic11—41no—
57C23×Dic11—42no—
58C23×Dic11C2312yes—
59C23×Dic11C2312yes—
60C23×Dic11C2312yes—
61C23×Dic11C2312yes—
62C2×C11×C22⋊C4—24no—
63C2×C11×C22⋊C4—24no—
64C2×C11×C22⋊C4—41no—
65C2×C11×C22⋊C4—41no—
66C2×C11×C22⋊C4C2×C418yes—
67C2×C11×C22⋊C4C2×C414yescomplemented
68C2×C22⋊Dic11—24no—
69C2×C22⋊Dic11—22no—
70C2×C22⋊Dic11—24no—
71C2×C22⋊Dic11—24no—
72C2×C22⋊Dic11—24no—
73C2×C22⋊Dic11—24no—
74C2×C22⋊Dic11—24no—
75C2×C22⋊Dic11—42no—
76C2×C22⋊Dic11—42no—
77C2×C22⋊Dic11—42no—
78C2×C22⋊Dic11—41no—
79C2×C22⋊Dic11—41no—
80C2×C4⋊Dic11—24no—
81C2×C4⋊Dic11—22no—
82C2×C4⋊Dic11—24no—
83C2×C4⋊Dic11—24no—
84C2×C4⋊Dic11—24no—
85C2×C4⋊Dic11—24no—
86C2×C4⋊Dic11—42no—
87C2×C4⋊Dic11—42no—
88C2×C4⋊Dic11—41no—
89C2×C4⋊Dic11—41no—
90C2×C4⋊Dic11—42no—
91C2×C4⋊Dic11—42no—
92C2×C4×Dic11—22no—
93C2×C4×Dic11—41no—
94C2×C4×Dic11—41no—
95C11×#95C2×C418yescomplemented
96C11⋊#95—24no—
97C11⋊#95—24no—
98C11⋊#95—24no—
99C11⋊#95—42no—
100C11⋊#95—42no—
101C11⋊#95D418yescomplemented
102#14401—111nomaximal, Sylow
103C24×C11—22no—
104C24×C11—22no—
105C24×C11—22no—
106C24×C11—22no—
107C24×C11—22no—
108C24×C11—22no—
109C24×C11—21no—
110C24×C11—21no—
111C24×C11—21no—
112C24×C11—21no—
113C24×C11—21no—
114C24×C11—21no—
115C24×C11—21no—
116C24×C11—21no—
117C24×C11—22no—
118C24×C11—22no—
119C24×C11C22×C412yes—
120C24×C11C22×C412yes—
121C24×C11C2×D412yes—
122C24×C11C2×D412yes—
123C24×C11C2×Q812yes—
124C24×C11C2×Q812yes—
125C24×C11C2411yescharacteristic
126C2×D4×C11—44no—
127C2×D4×C11—44no—
128C2×D4×C11—44no—
129C2×D4×C11—44no—
130C2×D4×C11—44no—
131C2×D4×C11—44no—
132C2×D4×C11C4⋊C4116yescomplemented
133C22×C4×C11—22no—
134C22×C4×C11—22no—
135C22×C4×C11—21no—
136C22×C4×C11—21no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
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—216no—
148C22×C4×C11—44no—
149C22×C4×C11—44no—
150C22×C4×C11—48no—
151C22×C4×C11—44no—
152C22×C4×C11C22×C414yes—
153C22×C4×C11C22×C412yes—
154C22×C4×C11C22×C414yes—
155C22×C4×C11C2×D412yes—
156C22×C4×C11C2×D414yes—
157C22×C4×C11C2×Q812yes—
158C22×C4×C11#4114yes—
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—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—48no—
186C22×Dic11—44no—
187C22×Dic11—44no—
188C22×Dic11—48no—
189C22×Dic11—44no—
190C22×Dic11C2×D414yes—
191C22×Dic11C2×D414yes—
192C11×C22⋊C4—216no—
193C11×C22⋊C4—44no—
194C22⋊Dic11—48no—
195C22⋊Dic11—48no—
196C22⋊Dic11—48no—
197C22⋊Dic11—44no—
198C4⋊Dic11—48no—
199C4⋊Dic11—48no—
200C4⋊Dic11—44no—
201C4⋊Dic11—48no—
202C4×Dic11—44no—
203C2×#390—111no—
204C2×#386—111no—
205C2×#386D1111yescharacteristic
206C2×#385—112no—
207C2×#380—112no—
208#1444—112no—
209#1439—112no—
210#1439—112no—
211#1436—112no—
212C23×C11—24no—
213C23×C11—24no—
214C23×C11—22no—
215C23×C11—22no—
216C23×C11—22no—
217C23×C11—22no—
218C23×C11—24no—
219C23×C11—24no—
220C23×C11—22no—
221C23×C11—22no—
222C23×C11—22no—
223C23×C11—22no—
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—24no—
233C23×C11—24no—
234C23×C11—24no—
235C23×C11—24no—
236C23×C11—42no—
237C23×C11—42no—
238C23×C11—42no—
239C23×C11—42no—
240C23×C11—42no—
241C23×C11—42no—
242C23×C11—42no—
243C23×C11—42no—
244C23×C11—41no—
245C23×C11—41no—
246C23×C11—42no—
247C23×C11—42no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—42no—
253C23×C11—42no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11C2×C4⋊C414yes—
257C23×C11C2×C4⋊C414yes—
258C23×C11C23×C411yescharacteristic
259C23×C11C22×D411yescharacteristic
260C23×C11C22×D412yes—
261C23×C11C22×Q811yescharacteristic
262C23×C11C2×#4112yes—
263C23×C11H(5,𝔽2)11yescharacteristic
264C23×C11H(5,𝔽2)11yescharacteristic
265C23×C11H(5,𝔽2)11yescharacteristic
266C23×C11H(5,𝔽2)11yescharacteristic
267C23×C11H(5,𝔽2)12yes—
268C23×C112−1+412yes—
269D4×C11—416no—
270C2×C4×C11—24no—
271C2×C4×C11—24no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
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—24no—
284C2×C4×C11—24no—
285C2×C4×C11—416no—
286C2×C4×C11—42no—
287C2×C4×C11—42no—
288C2×C4×C11—42no—
289C2×C4×C11—42no—
290C2×C4×C11C2×C4⋊C414yes—
291C2×C4×C11C4×D418yes—
292C2×Dic11—24no—
293C2×Dic11—24no—
294C2×Dic11—24no—
295C2×Dic11—24no—
296C2×Dic11—24no—
297C2×Dic11—24no—
298C2×Dic11—416no—
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×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C2×Dic11—42no—
318C2×Dic11—42no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C23×D4C2×D1111yescharacteristic
322C24×C4—111no—
323C24×C4C2×D1111yescharacteristic
324C22×C4⋊C4—112no—
325C22×C4⋊C4—112no—
326C22×C4⋊C4—112no—
327C22×C4⋊C4—111no—
328C22×C22⋊C4—112no—
329C22×C22⋊C4—112no—
330C22×C22⋊C4—112no—
331C22×C22⋊C4—111no—
332C22×C22⋊C4C2×D1112yes—
333C22×C22⋊C4C2×D1111yescharacteristic
334C22×C42—111no—
335#390—224no—
336#386—224no—
337#386Dic1118yescomplemented
338#385—228no—
339#380—228no—
340C2×#95—112no—
341C2×#95—112no—
342C2×#95—112no—
343C2×#95—112no—
344C2×#95—112no—
345C2×#95—112no—
346C2×#95C2×D1112yes—
347C22×C11—24no—
348C22×C11—24no—
349C22×C11—28no—
350C22×C11—28no—
351C22×C11—44no—
352C22×C11—44no—
353C22×C11—42no—
354C22×C11—42no—
355C22×C11—42no—
356C22×C11—42no—
357C22×C11—42no—
358C22×C11—42no—
359C22×C11—44no—
360C22×C11—44no—
361C22×C11—42no—
362C22×C11—42no—
363C22×C11—44no—
364C22×C11—44no—
365C22×C11—42no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11—42no—
369C22×C11C22×C4⋊C411yescharacteristic
370C22×C11C2×C4×D412yes—
371C22×C11#51811yescharacteristic
372C22×C11#51811yescharacteristic
373C22×C11#52012yes—
374C22×C11#53411yescharacteristic
375C22×C11#53411yescharacteristic
376C22×C11#53512yes—
377C22×C11#53712yes—
378C22×C11#54012yes—
379C22×C11#54212yes—
380C22×C11#54311yescharacteristic
381C22×C11#54311yescharacteristic
382C22×C11D4212yes—
383C22×C11D4211yescharacteristic
384C22×C11#54612yes—
385C22×C11#54712yes—
386C22×C11D4×Q812yes—
387C22×C11#55111yescharacteristic
388C22×C11#55412yes—
389C22×C11#56011yescharacteristic
390C22×C11#56212yes—
391C22×C11#56311yescharacteristic
392C4×C11—24no—
393C4×C11—28no—
394C4×C11—44no—
395Dic11—44no—
396Dic11—44no—
397Dic11—82no—
398Dic11—82no—
399C25C22×D1111yescharacteristic
400C25C22×D1111yescharacteristic
401C22×D4—41no—
402C22×D4—41no—
403C22×D4—41no—
404C22×D4—41no—
405C22×D4Dic2214yes—
406C22×D4D4414yes—
407C22×D4C2×Dic1114yes—
408C23×C4—24no—
409C23×C4—24no—
410C23×C4—41no—
411C23×C4—41no—
412C23×C4—112no—
413C23×C4—112no—
414C23×C4—112no—
415C23×C4—112no—
416C23×C4—224no—
417C23×C4—222no—
418C23×C4—441no—
419C23×C4—441no—
420C23×C4—442no—
421C23×C4C2×Dic1114yescomplemented
422C23×C4C22×D1112yes—
423C23×C4C22×D1111yescharacteristic
424C23×C4C22×D1112yes—
425C2×C4⋊C4—224no—
426C2×C4⋊C4—224no—
427C2×C4⋊C4—224no—
428C2×C4⋊C4—222no—
429C2×C4⋊C4—224no—
430C2×C4⋊C4—224no—
431C2×C4⋊C4—442no—
432C2×C4⋊C4—442no—
433C2×C4⋊C4—441no—
434C2×C4⋊C4—441no—
435C2×C4⋊C4—442no—
436C2×C4⋊C4—442no—
437C2×C22⋊C4—24no—
438C2×C22⋊C4—24no—
439C2×C22⋊C4—41no—
440C2×C22⋊C4—41no—
441C2×C22⋊C4—224no—
442C2×C22⋊C4—224no—
443C2×C22⋊C4—224no—
444C2×C22⋊C4—224no—
445C2×C22⋊C4—222no—
446C2×C22⋊C4—224no—
447C2×C22⋊C4—224no—
448C2×C22⋊C4—442no—
449C2×C22⋊C4—442no—
450C2×C22⋊C4—442no—
451C2×C22⋊C4—441no—
452C2×C22⋊C4—441no—
453C2×C22⋊C4C2×Dic1118yes—
454C2×C22⋊C4C2×Dic1114yescomplemented
455C2×C42—222no—
456C2×C42—441no—
457C2×C42—441no—
458#95—118no—
459#95—224no—
460#95—224no—
461#95—224no—
462#95—442no—
463#95—442no—
464#95C2×Dic1118yescomplemented
465C2×C11—44no—
466C2×C11—44no—
467C2×C11#231511yescharacteristic
468C2×C11#232412yes—
469C2×C11D4×C4⋊C412yes—
470C2×C11#235811yescharacteristic
471C2×C11#237611yescharacteristic
472C2×C11#266911yescharacteristic
473C2×C11#267112yes—
474C2×C11#268311yescharacteristic
475C2×C11#269212yes—
476C2×C11#271711yescharacteristic
477C2×C11#274811yescharacteristic
478C24—22no—
479C24—22no—
480C24—22no—
481C24—22no—
482C24—21no—
483C24—21no—
484C24—21no—
485C24—21no—
486C24—21no—
487C24—21no—
488C24—21no—
489C24—21no—
490C24—22no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24C2×Dic2212yes—
495C24C2×Dic2212yes—
496C24C2×D4412yes—
497C24C2×D4412yes—
498C24C22×Dic1112yes—
499C24C22×Dic1112yes—
500C24C23×D1111yescharacteristic
501C2×D4—44no—
502C2×D4—44no—
503C2×D4—44no—
504C2×D4—44no—
505C2×D4—44no—
506C2×D4—44no—
507C2×D4C4⋊Dic11116yescomplemented
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—22no—
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—216no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—48no—
527C22×C4—114no—
528C22×C4—114no—
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—222no—
544C22×C4—222no—
545C22×C4—222no—
546C22×C4—222no—
547C22×C4—222no—
548C22×C4—222no—
549C22×C4—222no—
550C22×C4—222no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—222no—
554C22×C4—222no—
555C22×C4—444no—
556C22×C4—448no—
557C22×C4—448no—
558C22×C4—444no—
559C22×C4—444no—
560C22×C4C2×Dic2212yes—
561C22×C4C2×D4412yes—
562C22×C4D4×D1114yes—
563C22×C4#434114yes—
564C22×C4C22×Dic1114yes—
565C22×C4C22×Dic1112yes—
566C22×C4C22×Dic1114yes—
567C4⋊C4—448no—
568C4⋊C4—448no—
569C4⋊C4—444no—
570C4⋊C4—448no—
571C22⋊C4—216no—
572C22⋊C4—44no—
573C22⋊C4—448no—
574C22⋊C4—448no—
575C22⋊C4—448no—
576C22⋊C4—444no—
577C42—444no—
578C11#1440111yescharacteristic, complemented, Sylow
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
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—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—42no—
622C23—42no—
623C23C2×C4⋊Dic1114yes—
624C23C2×C4⋊Dic1114yes—
625C23C22×Dic2211yescharacteristic
626C23C22×D4411yescharacteristic
627C23C2×D4×D1112yes—
628C23C2×#434112yes—
629C23#6703711yescharacteristic
630C23#6703711yescharacteristic
631C23#6703711yescharacteristic
632C23#6703711yescharacteristic
633C23#6704212yes—
634C23#6704312yes—
635C23C23×Dic1111yescharacteristic
636D4—416no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—416no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—224no—
658C2×C4—224no—
659C2×C4—224no—
660C2×C4—224no—
661C2×C4—224no—
662C2×C4—224no—
663C2×C4—4416no—
664C2×C4—442no—
665C2×C4—442no—
666C2×C4—442no—
667C2×C4—442no—
668C2×C4—442no—
669C2×C4—442no—
670C2×C4—442no—
671C2×C4—442no—
672C2×C4—442no—
673C2×C4—442no—
674C2×C4—442no—
675C2×C4—442no—
676C2×C4—442no—
677C2×C4—442no—
678C2×C4—442no—
679C2×C4—442no—
680C2×C4—442no—
681C2×C4—442no—
682C2×C4—442no—
683C2×C4—442no—
684C2×C4—442no—
685C2×C4—442no—
686C2×C4C2×C4⋊Dic1114yes—
687C2×C4D4×Dic1118yes—
688C22—24no—
689C22—24no—
690C22—28no—
691C22—28no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—44no—
701C22—44no—
702C22—44no—
703C22—44no—
704C22—44no—
705C22—44no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22#1062301411yescharacteristic
711C22#1062301411yescharacteristic
712C22#1062302411yescharacteristic
713C22#1062302411yescharacteristic
714C22D4×Dic2212yes—
715C22#1062307412yes—
716C22D4×D4412yes—
717C22#1062308612yes—
718C22#1062311811yescharacteristic
719C22#1062312111yescharacteristic
720C22#1062312212yes—
721C22#1062313412yes—
722C22#1062313812yes—
723C22#1062313912yes—
724C22#1062315012yes—
725C22#1062318211yescharacteristic
726C22#1062319711yescharacteristic
727C22#1062319812yes—
728C22C22×C4⋊Dic1111yescharacteristic
729C22C2×D4×Dic1112yes—
730C22#1062332911yescharacteristic
731C22#1062332911yescharacteristic
732C22#1062335812yes—
733C4—24no—
734C4—28no—
735C4—44no—
736C4—444no—
737C4—444no—
738C4—882no—
739C4—882no—
740C2—44no—
741C2—44no—
742C2#1307123011yescharacteristic
743C2#1307131112yes—
744C2D4×C4⋊Dic1112yes—
745C2#1307160011yescharacteristic
746C2#1307176411yescharacteristic
747C2#1307483411yescharacteristic
748C2#1307485012yes—
749C2#1307498911yescharacteristic
750C2#1307511612yes—
751C2#1307545411yescharacteristic
752C2#1307583111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC2×C11×#386C2
socle, cosocleC24×C11C24
prime radicalC23×D4×C11C22
hypercenterC2×#386D11
hypocenterC11#14401
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
3. C2×#10622563C2semidirect
4. C2×#10622825C2semidirect
5. #13066881C2semidirect
6. #13066861C2semidirect
7. #13066861C2semidirect
8. #13066850C2semidirect
24. C11×#386C4semidirect
49. C23×C4×C11C2×C4semidirect
67. C2×C11×C22⋊C4C2×C4semidirect
95. C11×#95C2×C4semidirect
101. C11⋊#95D4semidirect
132. C2×D4×C11C4⋊C4semidirect
337. #386Dic11semidirect
421. C23×C4C2×Dic11semidirect
454. C2×C22⋊C4C2×Dic11semidirect
464. #95C2×Dic11semidirect
507. C2×D4C4⋊Dic11semidirect
578. C11#14401semidirect

Maximal subgroups

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

subgroupindex
C2×#106228342
C2×#106228332
C2×#106225632
C2×#106228252
#130668812
#130668612
#130668502
C2×C11×#3862
#1440111