Finite Group Databasebeta

← #14683136

Subgroups — #14683136

Order 2816.

2282 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622834C212yesmaximal, complemented
2C2×#10622564C212yesmaximal, complemented
3C2×#10622833C212yesmaximal, complemented
4#13066861C212yesmaximal, complemented
5#13066861C211yesmaximal, characteristic, complemented
6#13066857C212yesmaximal, complemented
7#13066850C212yesmaximal, complemented
8#13066838C211yesmaximal, characteristic, complemented
9C2×C11×#392C211yesmaximal, characteristic
10C23×D4×C11C2212yes—
11C23×D4×C11C2211yescharacteristic
12C24×Dic11C2211yescharacteristic
13C22×C11×C22⋊C4C2212yes—
14C22×C11×C22⋊C4C2211yescharacteristic
15C22×C22⋊Dic11C2212yes—
16C22×C22⋊Dic11C2212yes—
17C22×C22⋊Dic11C2212yes—
18C22×C22⋊Dic11C2212yes—
19C22×C22⋊Dic11C2212yes—
20C22×C22⋊Dic11C2211yescharacteristic
21C22×C4⋊Dic11C2212yes—
22C22×C4⋊Dic11C2211yescharacteristic
23C22×C4×Dic11C2212yes—
24C11×#392C418yescomplemented
25C2×C11×#95C2211yescharacteristic
26#10622834—28no—
27#10622833—28no—
28C2×C11⋊#95C2212yes—
29C2×C11⋊#95C2212yes—
30C2×C11⋊#95C2212yes—
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2211yescharacteristic
33C2×C11⋊#95C2212yes—
34#10622564—28no—
35C25×C11C2312yes—
36C25×C11C2311yescharacteristic
37C22×D4×C11—24no—
38C22×D4×C11—24no—
39C22×D4×C11—24no—
40C22×D4×C11—24no—
41C22×D4×C11—42no—
42C22×D4×C11—42no—
43C22×D4×C11—42no—
44C22×D4×C11—42no—
45C22×D4×C11—41no—
46C22×D4×C11—41no—
47C22×D4×C11C2×C418yes—
48C22×D4×C11C2×C414yescomplemented
49C23×C4×C11C2311yescharacteristic
50C23×C4×C11C2311yescharacteristic
51C23×C4×C11C2312yes—
52C23×Dic11—22no—
53C23×Dic11—24no—
54C23×Dic11—42no—
55C23×Dic11—41no—
56C23×Dic11—41no—
57C23×Dic11C2312yes—
58C23×Dic11C2312yes—
59C23×Dic11C2312yes—
60C23×Dic11C2312yes—
61C2×C11×C22⋊C4—24no—
62C2×C11×C22⋊C4—24no—
63C2×C11×C22⋊C4—41no—
64C2×C11×C22⋊C4—41no—
65C2×C11×C22⋊C4C2×C414yes—
66C2×C11×C22⋊C4C2×C418yescomplemented
67C2×C22⋊Dic11—24no—
68C2×C22⋊Dic11—24no—
69C2×C22⋊Dic11—24no—
70C2×C22⋊Dic11—24no—
71C2×C22⋊Dic11—24no—
72C2×C22⋊Dic11—24no—
73C2×C22⋊Dic11—24no—
74C2×C22⋊Dic11—24no—
75C2×C22⋊Dic11—41no—
76C2×C22⋊Dic11—41no—
77C2×C22⋊Dic11—42no—
78C2×C22⋊Dic11—42no—
79C2×C22⋊Dic11—42no—
80C2×C22⋊Dic11—42no—
81C2×C22⋊Dic11—42no—
82C2×C22⋊Dic11—42no—
83C2×C22⋊Dic11—42no—
84C2×C22⋊Dic11D414yescomplemented
85C2×C4⋊Dic11—24no—
86C2×C4⋊Dic11—24no—
87C2×C4⋊Dic11—24no—
88C2×C4⋊Dic11—42no—
89C2×C4⋊Dic11—41no—
90C2×C4×Dic11—24no—
91C2×C4×Dic11—24no—
92C2×C4×Dic11—42no—
93C11×#95C2×C414yescomplemented
94C11⋊#95—24no—
95C11⋊#95—24no—
96C11⋊#95—42no—
97C11⋊#95—42no—
98C11⋊#95—41no—
99C11⋊#95D418yescomplemented
100#14521—111nomaximal, Sylow
101C24×C11—22no—
102C24×C11—22no—
103C24×C11—21no—
104C24×C11—21no—
105C24×C11—22no—
106C24×C11—21no—
107C24×C11—22no—
108C24×C11—21no—
109C24×C11—22no—
110C24×C11—22no—
111C24×C11—22no—
112C24×C11—22no—
113C24×C11—22no—
114C24×C11—22no—
115C24×C11—22no—
116C24×C11—22no—
117C24×C11—22no—
118C24×C11—22no—
119C24×C11—22no—
120C24×C11—22no—
121C24×C11—22no—
122C24×C11—22no—
123C24×C11C22×C414yes—
124C24×C11C22×C412yes—
125C24×C11C2×D412yes—
126C24×C11#4112yes—
127C24×C11C2411yescharacteristic
128C2×D4×C11—216no—
129C2×D4×C11—216no—
130C2×D4×C11—48no—
131C2×D4×C11—44no—
132C2×D4×C11—48no—
133C2×D4×C11—48no—
134C2×D4×C11—48no—
135C2×D4×C11—48no—
136C2×D4×C11—48no—
137C2×D4×C11—48no—
138C2×D4×C11—44no—
139C2×D4×C11—44no—
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—21no—
147C22×C4×C11—22no—
148C22×C4×C11—22no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11C22×C412yes—
153C22×C4×C11C22×C412yes—
154C22×C4×C11C22×C414yes—
155C22×C4×C11C2×D414yes—
156C22×C4×C11#4114yes—
157C22×Dic11—22no—
158C22×Dic11—22no—
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×Dic11C2×D414yes—
188C22×Dic11C2×D414yes—
189C22×Dic11C2×D414yes—
190C11×C22⋊C4—216no—
191C11×C22⋊C4—44no—
192C22⋊Dic11—44no—
193C22⋊Dic11—48no—
194C22⋊Dic11—48no—
195C22⋊Dic11—48no—
196C22⋊Dic11—48no—
197C22⋊Dic11—48no—
198C4⋊Dic11—48no—
199C4⋊Dic11—44no—
200C4×Dic11—48no—
201C2×#392D1111yescharacteristic
202C2×#390—112no—
203C2×#388—112no—
204C2×#386—112no—
205#1439—111no—
206#1439—112no—
207#1438—112no—
208#1436—112no—
209C22⋊#95—111no—
210C23×C11—24no—
211C23×C11—22no—
212C23×C11—24no—
213C23×C11—22no—
214C23×C11—22no—
215C23×C11—22no—
216C23×C11—22no—
217C23×C11—22no—
218C23×C11—24no—
219C23×C11—24no—
220C23×C11—24no—
221C23×C11—24no—
222C23×C11—24no—
223C23×C11—24no—
224C23×C11—24no—
225C23×C11—24no—
226C23×C11—24no—
227C23×C11—24no—
228C23×C11—24no—
229C23×C11—42no—
230C23×C11—42no—
231C23×C11—42no—
232C23×C11—42no—
233C23×C11—41no—
234C23×C11—42no—
235C23×C11—41no—
236C23×C11—42no—
237C23×C11—41no—
238C23×C11—41no—
239C23×C11—42no—
240C23×C11—42no—
241C23×C11—42no—
242C23×C11—42no—
243C23×C11—42no—
244C23×C11—42no—
245C23×C11—42no—
246C23×C11—42no—
247C23×C11—42no—
248C23×C11—42no—
249C23×C11—42no—
250C23×C11—42no—
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×C11—42no—
265C23×C11—42no—
266C23×C11—42no—
267C23×C11C4×D414yes—
268C23×C11C23×C411yescharacteristic
269C23×C11C22×D411yescharacteristic
270C23×C11C22×D412yes—
271C23×C11C2×#4111yescharacteristic
272C23×C11C2×#4112yes—
273C23×C11H(5,𝔽2)11yescharacteristic
274C23×C11H(5,𝔽2)12yes—
275C23×C11H(5,𝔽2)11yescharacteristic
276C23×C11H(5,𝔽2)12yes—
277C23×C11H(5,𝔽2)11yescharacteristic
278C23×C112−1+411yescharacteristic
279D4×C11—432no—
280D4×C11—416no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—24no—
284C2×C4×C11—24no—
285C2×C4×C11—24no—
286C2×C4×C11—24no—
287C2×C4×C11—24no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—24no—
291C2×C4×C11—41no—
292C2×C4×C11—42no—
293C2×C4×C11—41no—
294C2×C4×C11—42no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11C4×D418yes—
298C2×Dic11—24no—
299C2×Dic11—24no—
300C2×Dic11—24no—
301C2×Dic11—24no—
302C2×Dic11—24no—
303C2×Dic11—24no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—416no—
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—
321C2×Dic11—42no—
322C2×Dic11—42no—
323C2×Dic11—42no—
324C2×Dic11—42no—
325C2×Dic11—42no—
326C2×Dic11—42no—
327C23×D4C2×D1112yes—
328C23×D4C2×D1111yescharacteristic
329C24×C4—111no—
330C22×C4⋊C4—112no—
331C22×C4⋊C4—111no—
332C22×C22⋊C4—111no—
333C22×C22⋊C4—112no—
334C22×C22⋊C4—112no—
335C22×C22⋊C4—112no—
336C22×C22⋊C4—112no—
337C22×C22⋊C4—112no—
338C22×C22⋊C4C2×D1112yes—
339C22×C22⋊C4C2×D1111yescharacteristic
340C22×C42—112no—
341#392Dic1118yescomplemented
342#390—228no—
343#388—228no—
344#386—228no—
345C2×#95—112no—
346C2×#95—112no—
347C2×#95—112no—
348C2×#95—112no—
349C2×#95—112no—
350C2×#95—111no—
351C2×#95C2×D1111yescharacteristic
352C22×C11—24no—
353C22×C11—28no—
354C22×C11—44no—
355C22×C11—42no—
356C22×C11—42no—
357C22×C11—42no—
358C22×C11—44no—
359C22×C11—42no—
360C22×C11—44no—
361C22×C11—42no—
362C22×C11—42no—
363C22×C11—44no—
364C22×C11—44no—
365C22×C11—44no—
366C22×C11—44no—
367C22×C11—44no—
368C22×C11—44no—
369C22×C11—44no—
370C22×C11—82no—
371C22×C11—82no—
372C22×C11—82no—
373C22×C11—82no—
374C22×C11—82no—
375C22×C11—82no—
376C22×C11—82no—
377C22×C11—82no—
378C22×C11C2×C4×D412yes—
379C22×C11C2×C4×D411yescharacteristic
380C22×C11#51812yes—
381C22×C11#51811yescharacteristic
382C22×C11#52011yescharacteristic
383C22×C11#53411yescharacteristic
384C22×C11#53512yes—
385C22×C11#53711yescharacteristic
386C22×C11#53712yes—
387C22×C11#53811yescharacteristic
388C22×C11#53911yescharacteristic
389C22×C11#54012yes—
390C22×C11#54212yes—
391C22×C11D4211yescharacteristic
392C22×C11D4212yes—
393C22×C11#54612yes—
394C22×C11#54612yes—
395C22×C11#55012yes—
396C22×C11#55112yes—
397C22×C11#55911yescharacteristic
398C22×C11#56012yes—
399C22×C11#56011yescharacteristic
400C22×C11H(3,𝔽4)11yescharacteristic
401C4×C11—28no—
402C4×C11—42no—
403C4×C11—42no—
404Dic11—44no—
405Dic11—44no—
406Dic11—44no—
407Dic11—82no—
408C25C22×D1112yes—
409C25C22×D1111yescharacteristic
410C22×D4—24no—
411C22×D4—24no—
412C22×D4—24no—
413C22×D4—24no—
414C22×D4—42no—
415C22×D4—42no—
416C22×D4—42no—
417C22×D4—42no—
418C22×D4—41no—
419C22×D4—41no—
420C22×D4C2×Dic1118yes—
421C22×D4C2×Dic1114yescomplemented
422C23×C4—112no—
423C23×C4—112no—
424C23×C4—112no—
425C23×C4—112no—
426C23×C4—224no—
427C23×C4—222no—
428C23×C4—442no—
429C23×C4—441no—
430C23×C4—441no—
431C23×C4C22×D1111yescharacteristic
432C23×C4C22×D1111yescharacteristic
433C23×C4C22×D1112yes—
434C2×C4⋊C4—224no—
435C2×C4⋊C4—224no—
436C2×C4⋊C4—224no—
437C2×C4⋊C4—442no—
438C2×C4⋊C4—441no—
439C2×C22⋊C4—24no—
440C2×C22⋊C4—24no—
441C2×C22⋊C4—41no—
442C2×C22⋊C4—41no—
443C2×C22⋊C4—114no—
444C2×C22⋊C4—224no—
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—224no—
452C2×C22⋊C4—441no—
453C2×C22⋊C4—441no—
454C2×C22⋊C4—442no—
455C2×C22⋊C4—442no—
456C2×C22⋊C4—442no—
457C2×C22⋊C4—442no—
458C2×C22⋊C4—442no—
459C2×C22⋊C4—442no—
460C2×C22⋊C4—442no—
461C2×C22⋊C4C2×Dic1114yes—
462C2×C22⋊C4C2×Dic1118yescomplemented
463C2×C42—224no—
464C2×C42—224no—
465C2×C42—442no—
466#95—118no—
467#95—224no—
468#95—224no—
469#95—441no—
470#95—442no—
471#95—442no—
472#95C2×Dic1114yescomplemented
473C2×C11—44no—
474C2×C11—84no—
475C2×C11#232412yes—
476C2×C11#232511yescharacteristic
477C2×C11#235812yes—
478C2×C11#236611yescharacteristic
479C2×C11#237511yescharacteristic
480C2×C11#267011yescharacteristic
481C2×C11#267312yes—
482C2×C11#267511yescharacteristic
483C2×C11#270512yes—
484C2×C11#271211yescharacteristic
485C2×C11#275211yescharacteristic
486C24—22no—
487C24—22no—
488C24—21no—
489C24—21no—
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—
503C24—22no—
504C24—22no—
505C24—22no—
506C24—22no—
507C24—22no—
508C24D4×D1112yes—
509C24#434112yes—
510C24C22×Dic1114yes—
511C24C22×Dic1112yes—
512C24C23×D1111yescharacteristic
513C2×D4—216no—
514C2×D4—216no—
515C2×D4—48no—
516C2×D4—44no—
517C2×D4—48no—
518C2×D4—48no—
519C2×D4—48no—
520C2×D4—48no—
521C2×D4—48no—
522C2×D4—44no—
523C2×D4—48no—
524C2×D4—44no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—21no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—114no—
538C22×C4—114no—
539C22×C4—114no—
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—222no—
559C22×C4—222no—
560C22×C4—222no—
561C22×C4—222no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—222no—
565C22×C4—444no—
566C22×C4—448no—
567C22×C4—448no—
568C22×C4—444no—
569C22×C4—444no—
570C22×C4D4×D1114yes—
571C22×C4#434114yes—
572C22×C4C22×Dic1112yes—
573C22×C4C22×Dic1112yes—
574C22×C4C22×Dic1114yes—
575C4⋊C4—448no—
576C4⋊C4—444no—
577C22⋊C4—216no—
578C22⋊C4—44no—
579C22⋊C4—444no—
580C22⋊C4—448no—
581C22⋊C4—448no—
582C22⋊C4—448no—
583C22⋊C4—448no—
584C22⋊C4—448no—
585C42—448no—
586C11#1452111yescharacteristic, complemented, Sylow
587C23—24no—
588C23—22no—
589C23—24no—
590C23—22no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—24no—
605C23—24no—
606C23—41no—
607C23—41no—
608C23—42no—
609C23—41no—
610C23—42no—
611C23—41no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23D4×Dic1114yes—
645C23C2×D4×D1112yes—
646C23C2×D4×D1111yescharacteristic
647C23C2×#434112yes—
648C23C2×#434111yescharacteristic
649C23#6703711yescharacteristic
650C23#6703711yescharacteristic
651C23#6703712yes—
652C23#6703712yes—
653C23#6704211yescharacteristic
654C23#6704311yescharacteristic
655C23C23×Dic1111yescharacteristic
656D4—432no—
657D4—416no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—24no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—224no—
675C2×C4—224no—
676C2×C4—224no—
677C2×C4—224no—
678C2×C4—224no—
679C2×C4—224no—
680C2×C4—224no—
681C2×C4—224no—
682C2×C4—224no—
683C2×C4—4416no—
684C2×C4—442no—
685C2×C4—442no—
686C2×C4—442no—
687C2×C4—442no—
688C2×C4—442no—
689C2×C4—442no—
690C2×C4—442no—
691C2×C4—442no—
692C2×C4—442no—
693C2×C4—442no—
694C2×C4—442no—
695C2×C4—442no—
696C2×C4—442no—
697C2×C4—442no—
698C2×C4—442no—
699C2×C4—442no—
700C2×C4—442no—
701C2×C4—442no—
702C2×C4—442no—
703C2×C4D4×Dic1118yes—
704C22—24no—
705C22—28no—
706C22—42no—
707C22—44no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—44no—
713C22—44no—
714C22—42no—
715C22—44no—
716C22—44no—
717C22—44no—
718C22—44no—
719C22—44no—
720C22—44no—
721C22—44no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22#1062311812yes—
731C22#1062312112yes—
732C22#1062312212yes—
733C22#1062312212yes—
734C22#1062312511yescharacteristic
735C22#1062312612yes—
736C22#1062312611yescharacteristic
737C22#1062312811yescharacteristic
738C22#1062313311yescharacteristic
739C22#1062313412yes—
740C22#1062313611yescharacteristic
741C22#1062313812yes—
742C22#1062313912yes—
743C22#1062314811yescharacteristic
744C22#1062315012yes—
745C22#1062324411yescharacteristic
746C22#1062324811yescharacteristic
747C22#1062324912yes—
748C22C2×D4×Dic1112yes—
749C22C2×D4×Dic1111yescharacteristic
750C22#1062332911yescharacteristic
751C22#1062332912yes—
752C22#1062335811yescharacteristic
753C4—28no—
754C4—42no—
755C4—42no—
756C4—444no—
757C4—444no—
758C4—444no—
759C4—882no—
760C2—44no—
761C2—84no—
762C2#1307131112yes—
763C2#1307132111yescharacteristic
764C2#1307160012yes—
765C2#1307168111yescharacteristic
766C2#1307175711yescharacteristic
767C2#1307484311yescharacteristic
768C2#1307488112yes—
769C2#1307490811yescharacteristic
770C2#1307529612yes—
771C2#1307538111yescharacteristic
772C2#1307588411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
Fitting, prime radicalC2×C11×#392C2
socle, cosocleC24×C11C24
hypercenterC2×#392D11
hypocenterC11#14521
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#392

Complements

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

NH ≅ G/Ntype
1. C2×#10622834C2semidirect
2. C2×#10622564C2semidirect
3. C2×#10622833C2semidirect
4. #13066861C2semidirect
5. #13066861C2semidirect
6. #13066857C2semidirect
7. #13066850C2semidirect
8. #13066838C2semidirect
24. C11×#392C4semidirect
48. C22×D4×C11C2×C4semidirect
66. C2×C11×C22⋊C4C2×C4semidirect
84. C2×C22⋊Dic11D4semidirect
93. C11×#95C2×C4semidirect
99. C11⋊#95D4semidirect
341. #392Dic11semidirect
421. C22×D4C2×Dic11semidirect
462. C2×C22⋊C4C2×Dic11semidirect
472. #95C2×Dic11semidirect
586. C11#14521semidirect

Maximal subgroups

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

subgroupindex
C2×#106228342
C2×#106225642
C2×#106228332
#130668612
#130668572
#130668502
#130668382
C2×C11×#3922
#1452111