Finite Group Databasebeta

← #14680366

Subgroups — #14680366

Order 2816.

2086 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66931C211yesmaximal, characteristic
2C2×#10622555C211yesmaximal, characteristic
3C22×C11⋊#95C211yesmaximal, characteristic
4#13066886C212yesmaximal, complemented
5#13066882C212yesmaximal, complemented
6#13066868C212yesmaximal, complemented
7#13066867C212yesmaximal, complemented
8#13066839C211yesmaximal, characteristic
9#13066838C211yesmaximal, characteristic
10#13066838C211yesmaximal, characteristic
11C11×C22⋊#95C211yesmaximal, characteristic
12C24×C4×C11C2211yescharacteristic
13C24×Dic11C2211yescharacteristic
14C24×Dic11C2211yescharacteristic
15C23×Dic22C2211yescharacteristic
16C22×C11×C22⋊C4C2211yescharacteristic
17C22×C11×C22⋊C4C2211yescharacteristic
18C22×C22⋊Dic11C2211yescharacteristic
19C22×C22⋊Dic11C2211yescharacteristic
20C22×C4⋊Dic11C2211yescharacteristic
21C22×Dic11⋊C4C2211yescharacteristic
22C22×Dic11⋊C4C2211yescharacteristic
23C22×Dic11⋊C4C2212yes—
24C2×#66931—24no—
25C2×#66931—24no—
26C2×#66931C418yescomplemented
27C2×C11×#95C2212yes—
28C2×C11×#95C2212yes—
29C2×C11⋊#95—24no—
30C2×C11⋊#95C2212yes—
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C2×C11⋊#95C2212yes—
37C2×C11⋊#95C2212yes—
38C2×C11⋊#95C2212yes—
39#10622555—24no—
40C25×C11C2311yescharacteristic
41C23×C4×C11—22no—
42C23×C4×C11—22no—
43C23×C4×C11—42no—
44C23×C4×C11—42no—
45C23×C4×C11Q814yescomplemented
46C23×C4×C11C2312yes—
47C23×C4×C11C2311yescharacteristic
48C23×C4×C11C2311yescharacteristic
49C23×C4×C11C2312yes—
50C23×Dic11—22no—
51C23×Dic11—22no—
52C23×Dic11—42no—
53C23×Dic11—42no—
54C23×Dic11—42no—
55C23×Dic11—42no—
56C23×Dic11C2×C414yes—
57C23×Dic11D414yes—
58C23×Dic11D414yes—
59C23×Dic11Q814yescomplemented
60C23×Dic11C2312yes—
61C23×Dic11C2311yescharacteristic
62C23×Dic11C2311yescharacteristic
63C23×Dic11C2312yes—
64C23×Dic11C2311yescharacteristic
65C23×Dic11C2311yescharacteristic
66C22×Dic22—22no—
67C22×Dic22—22no—
68C22×Dic22—42no—
69C22×Dic22—42no—
70C22×Dic22C2×C414yescomplemented
71C2×C11×C22⋊C4—22no—
72C2×C11×C22⋊C4—22no—
73C2×C11×C22⋊C4—22no—
74C2×C11×C22⋊C4—22no—
75C2×C11×C22⋊C4—22no—
76C2×C11×C22⋊C4C2×C414yes—
77C2×C22⋊Dic11—22no—
78C2×C22⋊Dic11—22no—
79C2×C22⋊Dic11—22no—
80C2×C22⋊Dic11—22no—
81C2×C22⋊Dic11—22no—
82C2×C22⋊Dic11C2×C414yes—
83C2×C4⋊Dic11—22no—
84C2×C4⋊Dic11—22no—
85C2×C4⋊Dic11C2×C414yescomplemented
86C2×Dic11⋊C4—22no—
87C2×Dic11⋊C4—22no—
88C2×Dic11⋊C4—22no—
89C2×Dic11⋊C4—22no—
90C2×Dic11⋊C4—24no—
91C2×Dic11⋊C4—42no—
92C2×Dic11⋊C4—42no—
93C2×Dic11⋊C4C2×C414yescomplemented
94C2×Dic11⋊C4C2×C414yescomplemented
95#66931—232no—
96C11×#95—42no—
97C11×#95—42no—
98C11⋊#95—24no—
99C11⋊#95—24no—
100C11⋊#95—24no—
101C11⋊#95—42no—
102C11⋊#95—42no—
103C11⋊#95—42no—
104C11⋊#95—42no—
105C11⋊#95—42no—
106C11⋊#95—42no—
107#14281—111nomaximal, Sylow
108C24×C11—22no—
109C24×C11—22no—
110C24×C11—22no—
111C24×C11—22no—
112C24×C11C22×C412yes—
113C24×C11C2×D412yes—
114C24×C11C2×D412yes—
115C24×C11C2×Q812yes—
116C24×C11C2×Q812yes—
117C24×C11#4112yes—
118C24×C11#4112yes—
119C24×C11C2411yescharacteristic
120C22×C4×C11—28no—
121C22×C4×C11—22no—
122C22×C4×C11—21no—
123C22×C4×C11—21no—
124C22×C4×C11—21no—
125C22×C4×C11—21no—
126C22×C4×C11—22no—
127C22×C4×C11—22no—
128C22×C4×C11—22no—
129C22×C4×C11—22no—
130C22×C4×C11—22no—
131C22×C4×C11—22no—
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—22no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11—22no—
142C22×C4×C11—48no—
143C22×C4×C11—44no—
144C22×C4×C11—44no—
145C22×C4×C11—48no—
146C22×C4×C11C22×C412yes—
147C22×C4×C11C22×C412yes—
148C22×C4×C11C2×Q814yes—
149C22×Dic11—28no—
150C22×Dic11—22no—
151C22×Dic11—21no—
152C22×Dic11—21no—
153C22×Dic11—21no—
154C22×Dic11—21no—
155C22×Dic11—22no—
156C22×Dic11—22no—
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—48no—
176C22×Dic11—44no—
177C22×Dic11—44no—
178C22×Dic11—48no—
179C22×Dic11—48no—
180C22×Dic11—44no—
181C22×Dic11—44no—
182C22×Dic11—48no—
183C22×Dic11C22⋊C4116yes—
184C22×Dic11C22×C412yes—
185C22×Dic11C22×C412yes—
186C22×Dic11C22×C412yes—
187C22×Dic11C22×C412yes—
188C22×Dic11C2×D412yes—
189C22×Dic11C2×D412yes—
190C22×Dic11C2×D412yes—
191C22×Dic11C2×D412yes—
192C22×Dic11C2×Q814yes—
193C2×Dic22—28no—
194C2×Dic22—48no—
195C2×Dic22—44no—
196C2×Dic22—48no—
197C2×Dic22—44no—
198C11×C22⋊C4—28no—
199C11×C22⋊C4—44no—
200C22⋊Dic11—28no—
201C22⋊Dic11—44no—
202C4⋊Dic11—28no—
203Dic11⋊C4—28no—
204Dic11⋊C4—28no—
205Dic11⋊C4—48no—
206C22×C22⋊Q8—111no—
207C2×#380—111no—
208C22×#95—111no—
209#1446—112no—
210#1445—112no—
211#1441—112no—
212#1441—112no—
213C22⋊#95—111no—
214C22⋊#95—111no—
215C22⋊#95—111no—
216C22⋊#95D1111yescharacteristic
217C23×C11—24no—
218C23×C11—24no—
219C23×C11—22no—
220C23×C11—22no—
221C23×C11—24no—
222C23×C11—22no—
223C23×C11—22no—
224C23×C11—24no—
225C23×C11—24no—
226C23×C11—24no—
227C23×C11—24no—
228C23×C11—24no—
229C23×C11—24no—
230C23×C11—24no—
231C23×C11—24no—
232C23×C11—24no—
233C23×C11C2×C22⋊C414yes—
234C23×C11C4×Q814yes—
235C23×C11C4×Q814yes—
236C23×C11C22⋊Q814yes—
237C23×C11C22⋊Q814yes—
238C23×C11#12414yes—
239C23×C11C4⋊Q814yes—
240C23×C11C23×C411yescharacteristic
241C23×C11C22×D411yescharacteristic
242C23×C11C22×D411yescharacteristic
243C23×C11C22×Q811yescharacteristic
244C23×C11C22×Q811yescharacteristic
245C23×C11C2×#4111yescharacteristic
246C23×C11C2×#4111yescharacteristic
247C23×C11H(5,𝔽2)12yes—
248C23×C11H(5,𝔽2)12yes—
249C23×C11H(5,𝔽2)12yes—
250C23×C112−1+412yes—
251C2×C4×C11—22no—
252C2×C4×C11—22no—
253C2×C4×C11—24no—
254C2×C4×C11—24no—
255C2×C4×C11—24no—
256C2×C4×C11—24no—
257C2×C4×C11—24no—
258C2×C4×C11—416no—
259C2×C4×C11—41no—
260C2×C4×C11—42no—
261C2×C4×C11—41no—
262C2×C4×C11—42no—
263C2×C4×C11—41no—
264C2×C4×C11—42no—
265C2×C4×C11—41no—
266C2×C4×C11—42no—
267C2×C4×C11—42no—
268C2×C4×C11—42no—
269C2×C4×C11—42no—
270C2×C4×C11—42no—
271C2×C4×C11—42no—
272C2×C4×C11—42no—
273C2×C4×C11—42no—
274C2×C4×C11—42no—
275C2×C4×C11—42no—
276C2×Dic11—24no—
277C2×Dic11—24no—
278C2×Dic11—24no—
279C2×Dic11—22no—
280C2×Dic11—24no—
281C2×Dic11—22no—
282C2×Dic11—22no—
283C2×Dic11—22no—
284C2×Dic11—22no—
285C2×Dic11—22no—
286C2×Dic11—24no—
287C2×Dic11—24no—
288C2×Dic11—24no—
289C2×Dic11—24no—
290C2×Dic11—24no—
291C2×Dic11—416no—
292C2×Dic11—416no—
293C2×Dic11—41no—
294C2×Dic11—42no—
295C2×Dic11—41no—
296C2×Dic11—42no—
297C2×Dic11—41no—
298C2×Dic11—42no—
299C2×Dic11—41no—
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×Dic11C2×C22⋊C414yes—
311C2×Dic11C2×C22⋊C414yes—
312Dic22—416no—
313C23×Q8—111no—
314C24×C4—111no—
315C24×C4—111no—
316C24×C4C2×D1111yescharacteristic
317C2×C22⋊Q8—118no—
318C2×C22⋊Q8—224no—
319C2×C22⋊Q8—224no—
320C22×C4⋊C4—111no—
321C22×C4⋊C4—111no—
322C22×C4⋊C4—111no—
323C22×C4⋊C4—112no—
324C22×C22⋊C4—111no—
325C22×C22⋊C4—111no—
326C22×C22⋊C4C2×D1111yescharacteristic
327C22×C22⋊C4C2×D1111yescharacteristic
328#380—224no—
329C2×#95—112no—
330C2×#95—112no—
331C2×#95—112no—
332C2×#95—112no—
333C2×#95—112no—
334C2×#95—112no—
335C2×#95—112no—
336C2×#95—112no—
337C2×#95—112no—
338C2×#95—224no—
339C2×#95C2×D1112yes—
340C2×#95C2×D1112yes—
341C22×C11—24no—
342C22×C11—24no—
343C22×C11—28no—
344C22×C11—28no—
345C22×C11—24no—
346C22×C11—24no—
347C22×C11—24no—
348C22×C11—24no—
349C22×C11—28no—
350C22×C11—28no—
351C22×C11#39118yes—
352C22×C11C22×C22⋊C411yescharacteristic
353C22×C11C2×C4×Q811yescharacteristic
354C22×C11C2×C4×Q811yescharacteristic
355C22×C11#51812yes—
356C22×C11#52012yes—
357C22×C11C2×C22⋊Q811yescharacteristic
358C22×C11C2×C22⋊Q811yescharacteristic
359C22×C11C2×#12411yescharacteristic
360C22×C11C2×C4⋊Q811yescharacteristic
361C22×C11#53411yescharacteristic
362C22×C11#53412yes—
363C22×C11#53411yescharacteristic
364C22×C11#53511yescharacteristic
365C22×C11#53611yescharacteristic
366C22×C11#53712yes—
367C22×C11#53812yes—
368C22×C11#53812yes—
369C22×C11#53912yes—
370C22×C11#53912yes—
371C22×C11#54312yes—
372C22×C11#54312yes—
373C22×C11#54412yes—
374C22×C11#54412yes—
375C4×C11—42no—
376C4×C11—42no—
377C4×C11—44no—
378C4×C11—82no—
379Dic11—24no—
380Dic11—24no—
381Dic11—42no—
382Dic11—42no—
383Dic11—44no—
384Dic11—82no—
385C25C22×D1111yescharacteristic
386C22×Q8—114no—
387C22×Q8—222no—
388C22×Q8—222no—
389C22×Q8—442no—
390C22×Q8—442no—
391C23×C4—22no—
392C23×C4—22no—
393C23×C4—42no—
394C23×C4—42no—
395C23×C4—111no—
396C23×C4—111no—
397C23×C4—114no—
398C23×C4—114no—
399C23×C4—114no—
400C23×C4—111no—
401C23×C4—111no—
402C23×C4—112no—
403C23×C4—114no—
404C23×C4—112no—
405C23×C4—222no—
406C23×C4—222no—
407C23×C4—442no—
408C23×C4—442no—
409C23×C4—442no—
410C23×C4—442no—
411C23×C4Dic2214yescomplemented
412C23×C4C22×D1112yes—
413C23×C4C22×D1112yes—
414C23×C4C22×D1111yescharacteristic
415C23×C4C22×D1111yescharacteristic
416C22⋊Q8—2232no—
417C2×C4⋊C4—114no—
418C2×C4⋊C4—114no—
419C2×C4⋊C4—114no—
420C2×C4⋊C4—222no—
421C2×C4⋊C4—222no—
422C2×C4⋊C4—222no—
423C2×C4⋊C4—222no—
424C2×C4⋊C4—222no—
425C2×C4⋊C4—222no—
426C2×C4⋊C4—224no—
427C2×C4⋊C4—442no—
428C2×C4⋊C4—442no—
429C2×C22⋊C4—22no—
430C2×C22⋊C4—22no—
431C2×C22⋊C4—22no—
432C2×C22⋊C4—22no—
433C2×C22⋊C4—22no—
434C2×C22⋊C4—114no—
435C2×C22⋊C4—222no—
436C2×C22⋊C4—222no—
437C2×C22⋊C4—222no—
438C2×C22⋊C4—222no—
439C2×C22⋊C4—222no—
440C2×C22⋊C4C4×D1114yes—
441#95—42no—
442#95—42no—
443#95—224no—
444#95—224no—
445#95—224no—
446#95—442no—
447#95—442no—
448#95—442no—
449#95—442no—
450#95—442no—
451#95—442no—
452C2×C11—28no—
453C2×C11C2×#39111yescharacteristic
454C2×C11#230811yescharacteristic
455C2×C11#231111yescharacteristic
456C2×C11#232912yes—
457C2×C11#232912yes—
458C2×C11#262611yescharacteristic
459C2×C11#262611yescharacteristic
460C2×C11#262711yescharacteristic
461C2×C11#262711yescharacteristic
462C2×C11#263912yes—
463C2×C11#265912yes—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24C2×Dic2212yes—
469C24C2×C4×D1112yes—
470C24#433912yes—
471C24D4×D1112yes—
472C24D4×D1112yes—
473C24#434112yes—
474C24Q8×D1112yes—
475C24C23×D1111yescharacteristic
476C2×Q8—228no—
477C2×Q8—448no—
478C2×Q8—444no—
479C2×Q8—448no—
480C2×Q8—444no—
481C22×C4—28no—
482C22×C4—22no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—48no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—48no—
507C22×C4—112no—
508C22×C4—112no—
509C22×C4—112no—
510C22×C4—112no—
511C22×C4—112no—
512C22×C4—112no—
513C22×C4—1116no—
514C22×C4—112no—
515C22×C4—112no—
516C22×C4—114no—
517C22×C4—222no—
518C22×C4—222no—
519C22×C4—222no—
520C22×C4—222no—
521C22×C4—228no—
522C22×C4—222no—
523C22×C4—222no—
524C22×C4—221no—
525C22×C4—221no—
526C22×C4—221no—
527C22×C4—221no—
528C22×C4—222no—
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—448no—
544C22×C4—444no—
545C22×C4—448no—
546C22×C4—444no—
547C22×C4—448no—
548C22×C4—448no—
549C22×C4—444no—
550C22×C4—444no—
551C22×C4C2×Dic2214yes—
552C22×C4C2×C4×D1112yes—
553C22×C4C2×C4×D1112yes—
554C4⋊C4—228no—
555C4⋊C4—228no—
556C4⋊C4—228no—
557C4⋊C4—448no—
558C22⋊C4—28no—
559C22⋊C4—44no—
560C22⋊C4—228no—
561C22⋊C4—444no—
562C11#1428111yescharacteristic, complemented, Sylow
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—22no—
570C23—22no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23C4×Dic2214yes—
580C23#6693114yes—
581C23C22⋊C4×D1114yes—
582C23#6693814yes—
583C23#6694014yes—
584C23#6694114yes—
585C23#6694914yes—
586C23C22×Dic2211yescharacteristic
587C23C22×C4×D1111yescharacteristic
588C23C2×#433911yescharacteristic
589C23C2×D4×D1111yescharacteristic
590C23C2×D4×D1111yescharacteristic
591C23C2×#434111yescharacteristic
592C23#6703712yes—
593C23#6703712yes—
594C23C2×Q8×D1111yescharacteristic
595C23#6704212yes—
596C23#6704312yes—
597Q8—4416no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—416no—
606C2×C4—42no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—114no—
624C2×C4—114no—
625C2×C4—224no—
626C2×C4—224no—
627C2×C4—222no—
628C2×C4—222no—
629C2×C4—224no—
630C2×C4—224no—
631C2×C4—222no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—222no—
635C2×C4—224no—
636C2×C4—224no—
637C2×C4—224no—
638C2×C4—224no—
639C2×C4—224no—
640C2×C4—4416no—
641C2×C4—4416no—
642C2×C4—442no—
643C2×C4—442no—
644C2×C4—441no—
645C2×C4—442no—
646C2×C4—441no—
647C2×C4—442no—
648C2×C4—442no—
649C2×C4—441no—
650C2×C4—442no—
651C2×C4—441no—
652C2×C4—442no—
653C2×C4—442no—
654C2×C4—442no—
655C2×C4—442no—
656C2×C4—442no—
657C2×C4—442no—
658C2×C4—442no—
659C22—24no—
660C22—24no—
661C22—28no—
662C22—24no—
663C22—24no—
664C22—28no—
665C22—28no—
666C22—28no—
667C22—24no—
668C22—24no—
669C22#1062225918yes—
670C22C2×C4×Dic2211yescharacteristic
671C22C2×#6693111yescharacteristic
672C22#1062301412yes—
673C22C2×C22⋊C4×D1111yescharacteristic
674C22C2×#6693811yescharacteristic
675C22C2×#6694011yescharacteristic
676C22C2×#6694111yescharacteristic
677C22C2×#6694911yescharacteristic
678C22#1062305012yes—
679C22#1062307612yes—
680C22#1062307712yes—
681C22#1062309112yes—
682C22#1062309512yes—
683C22#1062312011yescharacteristic
684C22#1062312311yescharacteristic
685C22#1062312412yes—
686C22#1062312812yes—
687C22#1062313612yes—
688C22#1062315412yes—
689C22#1062316512yes—
690C22#1062317911yescharacteristic
691C22#1062318411yescharacteristic
692C22#1062319612yes—
693C4—42no—
694C4—42no—
695C4—44no—
696C4—82no—
697C4—224no—
698C4—224no—
699C4—442no—
700C4—442no—
701C4—444no—
702C4—882no—
703C2—28no—
704C2C2×#1062225911yescharacteristic
705C2#1307119011yescharacteristic
706C2#1307120311yescharacteristic
707C2#1307134412yes—
708C2#1307134712yes—
709C2#1307442511yescharacteristic
710C2#1307442711yescharacteristic
711C2#1307443311yescharacteristic
712C2#1307443511yescharacteristic
713C2#1307454612yes—
714C2#1307473312yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×C22⋊#95C2
socle, cosocleC24×C11C24
prime radicalC25×C11C23
hypercenterC22⋊#95D11
hypocenterC11#14281
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
4. #13066886C2semidirect
5. #13066882C2semidirect
6. #13066868C2semidirect
7. #13066867C2semidirect
26. C2×#66931C4semidirect
45. C23×C4×C11Q8semidirect
59. C23×Dic11Q8semidirect
70. C22×Dic22C2×C4semidirect
85. C2×C4⋊Dic11C2×C4semidirect
93. C2×Dic11⋊C4C2×C4semidirect
94. C2×Dic11⋊C4C2×C4semidirect
411. C23×C4Dic22semidirect
562. C11#14281semidirect

Maximal subgroups

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

subgroupindex
C22×#669312
C2×#106225552
C22×C11⋊#952
#130668862
#130668822
#130668682
#130668672
#130668392
#130668382
C11×C22⋊#952
#1428111