Finite Group Databasebeta

← #14682187

Subgroups — #14682187

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×#10622823C212yesmaximal, complemented
4C2×#10622559C212yesmaximal, complemented
5#13066868C212yesmaximal, complemented
6#13066859C212yesmaximal, complemented
7#13066859C212yesmaximal, complemented
8Dic11⋊#95C212yesmaximal, 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⋊Dic11C2211yescharacteristic
20C22×Dic11⋊C4C2212yes—
21C22×Dic11⋊C4C2212yes—
22C22×Dic11⋊C4C2212yes—
23C22×C4×Dic11C2211yescharacteristic
24C11×#386—24no—
25C2×C11×#95C2212yes—
26#10622834C418yescomplemented
27#10622833—24no—
28#10622823—28no—
29C2×C11⋊#95C2212yes—
30C2×C11⋊#95C2212yes—
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35#10622559—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—22no—
46C23×C4×C11—24no—
47C23×C4×C11—41no—
48C23×C4×C11—41no—
49C23×C4×C11—42no—
50C23×C4×C11C2312yes—
51C23×C4×C11C2312yes—
52C23×C4×C11C2311yescharacteristic
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—22no—
64C2×C11×C22⋊C4—24no—
65C2×C11×C22⋊C4—42no—
66C2×C11×C22⋊C4—41no—
67C2×C11×C22⋊C4—41no—
68C2×C22⋊Dic11—24no—
69C2×C22⋊Dic11—24no—
70C2×C22⋊Dic11—24no—
71C2×C22⋊Dic11—24no—
72C2×C22⋊Dic11—24no—
73C2×C22⋊Dic11—22no—
74C2×C22⋊Dic11—24no—
75C2×C22⋊Dic11—42no—
76C2×C22⋊Dic11—41no—
77C2×C22⋊Dic11—41no—
78C2×C22⋊Dic11C2×C418yescomplemented
79C2×C22⋊Dic11C2×C418yescomplemented
80C2×C4⋊Dic11—41no—
81C2×C4⋊Dic11—41no—
82C2×C4⋊Dic11C2×C414yescomplemented
83C2×Dic11⋊C4—24no—
84C2×Dic11⋊C4—24no—
85C2×Dic11⋊C4—24no—
86C2×Dic11⋊C4—42no—
87C2×Dic11⋊C4—42no—
88C2×Dic11⋊C4—42no—
89C2×Dic11⋊C4—42no—
90C2×Dic11⋊C4—42no—
91C2×Dic11⋊C4D418yescomplemented
92C2×C4×Dic11—41no—
93C2×C4×Dic11—41no—
94C2×C4×Dic11C2×C414yescomplemented
95C11×#95—24no—
96C11⋊#95—24no—
97C11⋊#95—24no—
98C11⋊#95—24no—
99C11⋊#95—24no—
100C11⋊#95—24no—
101C11⋊#95—42no—
102#14440—111nomaximal, Sylow
103C24×C11—22no—
104C24×C11—22no—
105C24×C11—22no—
106C24×C11—22no—
107C24×C11—22no—
108C24×C11—21no—
109C24×C11—21no—
110C24×C11—22no—
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—21no—
134C22×C4×C11—21no—
135C22×C4×C11—21no—
136C22×C4×C11—21no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
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—44no—
151C22×C4×C11—48no—
152C22×C4×C11—48no—
153C22×C4×C11—44no—
154C22×C4×C11—44no—
155C22×C4×C11C22×C412yes—
156C22×C4×C11C2×D414yes—
157C22×C4×C11C2×D412yes—
158C22×C4×C11C2×Q812yes—
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—48no—
183C22×Dic11—44no—
184C22×Dic11—44no—
185C22×Dic11—48no—
186C22×Dic11—44no—
187C22×Dic11C22×C414yes—
188C22×Dic11C22×C414yes—
189C22×Dic11C2×D414yes—
190C22×Dic11C2×D414yes—
191C22×Dic11#4114yes—
192C11×C22⋊C4—48no—
193C11×C22⋊C4—44no—
194C22⋊Dic11—216no—
195C22⋊Dic11—216no—
196C22⋊Dic11—48no—
197C22⋊Dic11—44no—
198C4⋊Dic11—44no—
199Dic11⋊C4—48no—
200Dic11⋊C4—48no—
201Dic11⋊C4—48no—
202C4×Dic11—44no—
203C2×#390—111no—
204C2×#386—111no—
205C2×#386D1111yescharacteristic
206C2×#385—112no—
207C2×#385—112no—
208#1441—112no—
209#1439—112no—
210#1439—112no—
211C4⋊#95—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×D412yes—
260C23×C11C22×D411yescharacteristic
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—22no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—24no—
277C2×C4×C11—24no—
278C2×C4×C11—24no—
279C2×C4×C11—416no—
280C2×C4×C11—42no—
281C2×C4×C11—42no—
282C2×C4×C11—42no—
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×C11C2×C4⋊C414yes—
292C2×Dic11—24no—
293C2×Dic11—24no—
294C2×Dic11—24no—
295C2×Dic11—24no—
296C2×Dic11—24no—
297C2×Dic11—24no—
298C2×Dic11—24no—
299C2×Dic11—24no—
300C2×Dic11—24no—
301C2×Dic11—24no—
302C2×Dic11—24no—
303C2×Dic11—24no—
304C2×Dic11—416no—
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×Dic11C4×D418yes—
321C23×D4C2×D1111yescharacteristic
322C24×C4—111no—
323C24×C4C2×D1111yescharacteristic
324C22×C4⋊C4—112no—
325C22×C4⋊C4—111no—
326C22×C4⋊C4—112no—
327C22×C4⋊C4—112no—
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—118no—
336#386—24no—
337#386—224no—
338#385—228no—
339#385—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—42no—
364C22×C11—42no—
365C22×C11—44no—
366C22×C11—44no—
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#53412yes—
377C22×C11#53712yes—
378C22×C11#53812yes—
379C22×C11#53912yes—
380C22×C11#54311yescharacteristic
381C22×C11#54311yescharacteristic
382C22×C11D4212yes—
383C22×C11D4211yescharacteristic
384C22×C11#54712yes—
385C22×C11D4×Q812yes—
386C22×C11#55012yes—
387C22×C11#55412yes—
388C22×C11#55911yescharacteristic
389C22×C11H(3,𝔽4)11yescharacteristic
390C22×C11#56212yes—
391C22×C11#56311yescharacteristic
392C4×C11—24no—
393C4×C11—44no—
394C4×C11—82no—
395Dic11—28no—
396Dic11—44no—
397Dic11—44no—
398Dic11—82no—
399C25C22×D1111yescharacteristic
400C25C22×D1111yescharacteristic
401C22×D4—41no—
402C22×D4—41no—
403C22×D4—41no—
404C22×D4—41no—
405C22×D4Dic2214yes—
406C22×D4C4×D1114yes—
407C22×D4C22⋊D1114yes—
408C23×C4—22no—
409C23×C4—24no—
410C23×C4—42no—
411C23×C4—41no—
412C23×C4—41no—
413C23×C4—112no—
414C23×C4—112no—
415C23×C4—112no—
416C23×C4—112no—
417C23×C4—224no—
418C23×C4—222no—
419C23×C4—442no—
420C23×C4—441no—
421C23×C4—441no—
422C23×C4C22×D1112yes—
423C23×C4C22×D1112yes—
424C23×C4C22×D1111yescharacteristic
425C2×C4⋊C4—114no—
426C2×C4⋊C4—118no—
427C2×C4⋊C4—224no—
428C2×C4⋊C4—224no—
429C2×C4⋊C4—224no—
430C2×C4⋊C4—442no—
431C2×C4⋊C4—442no—
432C2×C4⋊C4—442no—
433C2×C4⋊C4—442no—
434C2×C4⋊C4—442no—
435C2×C4⋊C4—441no—
436C2×C4⋊C4—441no—
437C2×C22⋊C4—24no—
438C2×C22⋊C4—22no—
439C2×C22⋊C4—24no—
440C2×C22⋊C4—42no—
441C2×C22⋊C4—41no—
442C2×C22⋊C4—41no—
443C2×C22⋊C4—118no—
444C2×C22⋊C4—118no—
445C2×C22⋊C4—224no—
446C2×C22⋊C4—224no—
447C2×C22⋊C4—224no—
448C2×C22⋊C4—224no—
449C2×C22⋊C4—224no—
450C2×C22⋊C4—224no—
451C2×C22⋊C4—222no—
452C2×C22⋊C4—442no—
453C2×C22⋊C4—441no—
454C2×C22⋊C4—441no—
455C2×C42—114no—
456C2×C42—441no—
457C2×C42—441no—
458#95—24no—
459#95—224no—
460#95—224no—
461#95—224no—
462#95—224no—
463#95—224no—
464#95—442no—
465C2×C11—44no—
466C2×C11—44no—
467C2×C11#231511yescharacteristic
468C2×C11#232512yes—
469C2×C11D4×C4⋊C412yes—
470C2×C11#236611yescharacteristic
471C2×C11#237911yescharacteristic
472C2×C11#267911yescharacteristic
473C2×C11#268212yes—
474C2×C11#268311yescharacteristic
475C2×C11#272411yescharacteristic
476C2×C11#273212yes—
477C2×C11#280411yescharacteristic
478C24—22no—
479C24—22no—
480C24—22no—
481C24—21no—
482C24—21no—
483C24—22no—
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×C4×D1112yes—
497C24C2×C4×D1112yes—
498C24C2×C22⋊D1112yes—
499C24C2×C22⋊D1112yes—
500C24C23×D1111yescharacteristic
501C2×D4—44no—
502C2×D4—44no—
503C2×D4—44no—
504C2×D4—44no—
505C2×D4—44no—
506C2×D4—44no—
507C2×D4Dic11⋊C4116yescomplemented
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—22no—
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—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—44no—
526C22×C4—48no—
527C22×C4—48no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—114no—
531C22×C4—114no—
532C22×C4—114no—
533C22×C4—114no—
534C22×C4—114no—
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—222no—
556C22×C4—222no—
557C22×C4—222no—
558C22×C4—444no—
559C22×C4—448no—
560C22×C4—448no—
561C22×C4—444no—
562C22×C4—444no—
563C22×C4C2×Dic2212yes—
564C22×C4C2×C4×D1112yes—
565C22×C4D4×D1114yes—
566C22×C4C2×C22⋊D1112yes—
567C4⋊C4—448no—
568C4⋊C4—444no—
569C4⋊C4—448no—
570C4⋊C4—448no—
571C22⋊C4—48no—
572C22⋊C4—44no—
573C22⋊C4—2216no—
574C22⋊C4—2216no—
575C22⋊C4—448no—
576C22⋊C4—444no—
577C42—444no—
578C11#1444011yescharacteristic, 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—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—24no—
602C23—24no—
603C23—42no—
604C23—42no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—41no—
618C23—41no—
619C23—42no—
620C23—42no—
621C23—41no—
622C23—41no—
623C23C2×Dic11⋊C414yes—
624C23C2×Dic11⋊C414yes—
625C23C22×Dic2211yescharacteristic
626C23C22×C4×D1111yescharacteristic
627C23C2×D4×D1112yes—
628C23#6703711yescharacteristic
629C23#6703711yescharacteristic
630C23#6703711yescharacteristic
631C23#6703711yescharacteristic
632C23#6703712yes—
633C23#41×D1112yes—
634C23#6704312yes—
635C23C22×C22⋊D1111yescharacteristic
636D4—416no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—416no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
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—118no—
659C2×C4—224no—
660C2×C4—224no—
661C2×C4—224no—
662C2×C4—224no—
663C2×C4—224no—
664C2×C4—224no—
665C2×C4—224no—
666C2×C4—224no—
667C2×C4—224no—
668C2×C4—224no—
669C2×C4—224no—
670C2×C4—224no—
671C2×C4—4416no—
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×C4—442no—
687C2×C4C2×Dic11⋊C414yes—
688C22—24no—
689C22—24no—
690C22—28no—
691C22—28no—
692C22—42no—
693C22—42no—
694C22—44no—
695C22—44no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—44no—
707C22—44no—
708C22—44no—
709C22—44no—
710C22#1062301411yescharacteristic
711C22#1062301411yescharacteristic
712C22#1062301711yescharacteristic
713C22#1062301711yescharacteristic
714C22D4×Dic2212yes—
715C22#1062307012yes—
716C22C4×D4×D1112yes—
717C22#1062307712yes—
718C22#1062312012yes—
719C22#1062312111yescharacteristic
720C22#1062312511yescharacteristic
721C22#1062313012yes—
722C22#1062313912yes—
723C22#1062314412yes—
724C22#1062315212yes—
725C22#1062318211yescharacteristic
726C22#1062319112yes—
727C22#1062319511yescharacteristic
728C22C22×Dic11⋊C411yescharacteristic
729C22D4×C22⋊D1112yes—
730C22#1062333511yescharacteristic
731C22#1062333511yescharacteristic
732C22#1062335512yes—
733C4—24no—
734C4—44no—
735C4—82no—
736C4—228no—
737C4—444no—
738C4—444no—
739C4—882no—
740C2—44no—
741C2—44no—
742C2#1307122811yescharacteristic
743C2#1307131812yes—
744C2D4×Dic11⋊C412yes—
745C2#1307167911yescharacteristic
746C2#1307178611yescharacteristic
747C2#1307495011yescharacteristic
748C2#1307497712yes—
749C2#1307498911yescharacteristic
750C2#1307554411yescharacteristic
751C2#1307563612yes—
752C2#1307655911yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC2×C11×#386C2
socle, cosocleC24×C11C24
prime radicalC23×D4×C11C22
hypercenterC2×#386D11
hypocenterC11#14440
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
3. C2×#10622823C2semidirect
4. C2×#10622559C2semidirect
5. #13066868C2semidirect
6. #13066859C2semidirect
7. #13066859C2semidirect
8. Dic11⋊#95C2semidirect
26. #10622834C4semidirect
78. C2×C22⋊Dic11C2×C4semidirect
79. C2×C22⋊Dic11C2×C4semidirect
82. C2×C4⋊Dic11C2×C4semidirect
91. C2×Dic11⋊C4D4semidirect
94. C2×C4×Dic11C2×C4semidirect
132. C2×D4×C11C4⋊C4semidirect
507. C2×D4Dic11⋊C4semidirect
578. C11#14440semidirect

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×#106228232
C2×#106225592
#130668682
#130668592
Dic11⋊#952
C2×C11×#3862
#1444011