Finite Group Databasebeta

← C2×#13072061 #14921725

Subgroups — C2×#13072061 #14921725

Order 2816.

3830 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66950C211yesmaximal, characteristic, complemented
2C22×#66977C211yesmaximal, characteristic, complemented
3C22×C4×C22⋊D11C211yesmaximal, characteristic
4#13072061C2116yesmaximal, direct product factor
5C2×#10622596C212yesmaximal, complemented
6C2×#10622607C212yesmaximal, complemented
7C2×#10622587C211yesmaximal, characteristic, complemented
8C2×#10622598C211yesmaximal, characteristic, complemented
9C2×#10622826C212yesmaximal
10C2×#10622825C212yesmaximal, complemented
11C2×#10622600C211yesmaximal, characteristic, complemented
12C23×C11×C4⋊C4C211yesmaximal, characteristic, complemented
13C24×C4×C11C2212yes—
14C24×C4×C11C2211yescharacteristic
15C23×C22⋊D11C2211yescharacteristic
16C23×C4×D11C2211yescharacteristic
17C23×Dic22C2211yescharacteristic
18C22×C11×C4⋊C4—28no—
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C11×C4⋊C4C2212yes—
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C11×C4⋊C4C2218yescomplemented
23C22×C22⋊Dic11C2211yescharacteristic
24C22×C22⋊Dic11C2212yes—
25C2×C4×C22⋊D11—28no—
26C2×C4×C22⋊D11C2218yes—
27C22×(C2×D11)⋊C4C2211yescharacteristic
28C22×(C2×D11)⋊C4C2212yes—
29C22×(C2×D11)⋊C4C2212yes—
30C22×C4⋊Dic11C2211yescharacteristic
31C22×C4⋊Dic11C2212yes—
32C22×C4⋊Dic11C2212yes—
33C2×#66977—28no—
34C2×#66977C2218yescomplemented
35C22×Dic11⋊C4C2211yescharacteristic
36C22×Dic11⋊C4C2212yes—
37C22×C4×Dic11C2211yescharacteristic
38C2×#66950—28no—
39C2×#66950C2218yescomplemented
40#10622826C22116yes—
41#10622825C22116yescomplemented
42C2×C11⋊#95C2212yes—
43C2×C11⋊#95C2212yes—
44C2×C11⋊#95C2212yes—
45C2×C11⋊#95C2212yes—
46#10622607C22116yescomplemented
47#10622600C2218yescomplemented
48#10622598C2218yescomplemented
49#10622596C22116yescomplemented
50#10622587C2218yescomplemented
51C25×C11C2311yescharacteristic
52C24×D11C2311yescharacteristic
53C23×C4×C11—24no—
54C23×C4×C11—24no—
55C23×C4×C11—28no—
56C23×C4×C11—28no—
57C23×C4×C11—44no—
58C23×C4×C11D418yes—
59C23×C4×C11C2312yes—
60C23×C4×C11C2318yes—
61C23×C4×C11C2311yescharacteristic
62C23×C4×C11C2314yes—
63C23×C4×C11C2312yes—
64C23×C4×C11C2311yescharacteristic
65C22×C22⋊D11—24no—
66C22×C22⋊D11—24no—
67C22×C22⋊D11Q818yescomplemented
68C22×C22⋊D11C2314yes—
69C23×Dic11C2311yescharacteristic
70C23×Dic11C2312yes—
71C23×Dic11C2311yescharacteristic
72C23×Dic11C2312yes—
73C23×Dic11C2311yescharacteristic
74C22×C4×D11—24no—
75C22×C4×D11—24no—
76C22×C4×D11—24no—
77C22×C4×D11C2314yes—
78C22×Dic22—24no—
79C22×Dic22—24no—
80C22×Dic22—24no—
81C22×Dic22C2314yes—
82C2×C11×C4⋊C4—28no—
83C2×C11×C4⋊C4—24no—
84C2×C11×C4⋊C4—232no—
85C2×C11×C4⋊C4D418yescomplemented
86C2×C11×C4⋊C4C2314yes—
87C2×C11×C4⋊C4C2318yes—
88C2×C11×C4⋊C4C2314yes—
89C2×C22⋊Dic11—28no—
90C2×C22⋊Dic11—24no—
91C2×C22⋊Dic11C2318yes—
92C2×C22⋊Dic11C2314yes—
93C4×C22⋊D11—232no—
94C2×(C2×D11)⋊C4—28no—
95C2×(C2×D11)⋊C4—24no—
96C2×(C2×D11)⋊C4—44no—
97C2×(C2×D11)⋊C4C2318yes—
98C2×(C2×D11)⋊C4C2314yes—
99C2×(C2×D11)⋊C4C2318yes—
100C2×C4⋊Dic11—28no—
101C2×C4⋊Dic11—24no—
102C2×C4⋊Dic11—44no—
103C2×C4⋊Dic11C2318yes—
104C2×C4⋊Dic11C2314yes—
105C2×C4⋊Dic11C2318yes—
106#66977—232no—
107C2×Dic11⋊C4—28no—
108C2×Dic11⋊C4—24no—
109C2×Dic11⋊C4C2318yes—
110C2×Dic11⋊C4C2314yes—
111C2×C4×Dic11—24no—
112C2×C4×Dic11C2314yes—
113#66950—232no—
114C11⋊#95C2318yes—
115C11⋊#95C2318yes—
116C11⋊#95C2318yes—
117C11⋊#95C2318yes—
118C2×#2417—111nomaximal, Sylow
119C24×C11—22no—
120C24×C11—22no—
121C24×C11—22no—
122C24×C11—22no—
123C24×C11C2×D414yes—
124C24×C11C2×Q814yes—
125C24×C11#4114yes—
126C24×C11C2412yes—
127C24×C11C2411yescharacteristic
128C23×D11—22no—
129C23×D11—22no—
130C23×D11—22no—
131C23×D11—22no—
132C23×D11—22no—
133C23×D11—22no—
134C23×D11C2×Q814yes—
135C23×D11C2412yes—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—24no—
139C22×C4×C11—24no—
140C22×C4×C11—232no—
141C22×C4×C11—28no—
142C22×C4×C11—28no—
143C22×C4×C11—24no—
144C22×C4×C11—216no—
145C22×C4×C11—24no—
146C22×C4×C11—24no—
147C22×C4×C11—216no—
148C22×C4×C11—48no—
149C22×C4×C11—432no—
150C22×C4×C11C2×D414yes—
151C22×C4×C11C2×D4116yes—
152C22×C4×C11C2×D418yes—
153C22×C4×C11C2×D414yes—
154C22×C4×C11C2×D414yes—
155C22×C4×C11#4114yes—
156C22×C4×C11C2414yes—
157C22×C4×C11C2414yes—
158C22×C4×C11C2412yes—
159C22×C4×C11C2412yes—
160C2×C22⋊D11—232no—
161C2×C22⋊D11—28no—
162C2×C22⋊D11—28no—
163C2×C22⋊D11C2×Q8116yescomplemented
164C22×Dic11—22no—
165C22×Dic11—22no—
166C22×Dic11—24no—
167C22×Dic11—24no—
168C22×Dic11—22no—
169C22×Dic11—22no—
170C22×Dic11—24no—
171C22×Dic11—22no—
172C22×Dic11—24no—
173C22×Dic11—22no—
174C22×Dic11—22no—
175C22×Dic11—24no—
176C22×Dic11—22no—
177C22×Dic11—24no—
178C22×Dic11C2×Q814yes—
179C22×Dic11C2412yes—
180C22×Dic11C2414yes—
181C22×Dic11C2412yes—
182C22×Dic11C2414yes—
183C22×Dic11C2412yes—
184C2×C4×D11—28no—
185C2×C4×D11—28no—
186C2×C4×D11—28no—
187C2×C4×D11—416no—
188C2×Dic22—28no—
189C2×Dic22—28no—
190C2×Dic22—28no—
191C2×Dic22—416no—
192C11×C4⋊C4—216no—
193C11×C4⋊C4—28no—
194C11×C4⋊C4C2×D4116yescomplemented
195C22⋊Dic11—216no—
196C22⋊Dic11—28no—
197(C2×D11)⋊C4—216no—
198(C2×D11)⋊C4—28no—
199(C2×D11)⋊C4—48no—
200C4⋊Dic11—216no—
201C4⋊Dic11—28no—
202C4⋊Dic11—48no—
203Dic11⋊C4—216no—
204Dic11⋊C4—28no—
205C4×Dic11—28no—
206C22×C22⋊Q8—111no—
207C22×C22⋊Q8—111no—
208C22×C4×D4—111no—
209C23×C4⋊C4D1111yescharacteristic, complemented
210#2417—1116no—
211C2×#398—112no—
212C2×#396—112no—
213C2×#391—111no—
214C2×#389—111no—
215C2×#386—112no—
216C2×#380—112no—
217C2×#380—111no—
218C23×C11—28no—
219C23×C11—28no—
220C23×C11—28no—
221C23×C11—28no—
222C23×C11—28no—
223C23×C11—28no—
224C23×C11—22no—
225C23×C11—22no—
226C23×C11—22no—
227C23×C11—22no—
228C23×C11C22⋊Q8116yescomplemented
229C23×C11C22×D414yes—
230C23×C11C22×D412yes—
231C23×C11C22×D412yes—
232C23×C11C22×Q814yes—
233C23×C11C22×Q812yes—
234C23×C11C2×#4112yes—
235C23×C11C2×#4114yes—
236C23×C11C2×#4112yes—
237C23×C11H(5,𝔽2)12yes—
238C23×C112−1+412yes—
239C23×C11C2511yescharacteristic
240C22×D11—28no—
241C22×D11—28no—
242C22×D11—28no—
243C22×D11—22no—
244C22×D11—22no—
245C22×D11—22no—
246C22×D11—22no—
247C22×D11—22no—
248C22×D11—22no—
249C22×D11—44no—
250C22×D11—44no—
251C22×D11—44no—
252C22×D11—44no—
253C22×D11C22×Q814yes—
254C2×C4×C11—28no—
255C2×C4×C11—216no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—24no—
259C2×C4×C11—24no—
260C2×C4×C11—232no—
261C2×C4×C11—24no—
262C2×C4×C11—24no—
263C2×C4×C11—24no—
264C2×C4×C11—432no—
265C2×C4×C11—48no—
266C2×C4×C11#121116yes—
267C2×C4×C11C22×D414yes—
268C2×C4×C11C22×D414yes—
269C2×C4×C11C22×D418yes—
270C2×C4×C11C22×D414yes—
271C2×C4×C11C2×#4114yes—
272C22⋊D11—232no—
273C2×Dic11—28no—
274C2×Dic11—22no—
275C2×Dic11—22no—
276C2×Dic11—22no—
277C2×Dic11—24no—
278C2×Dic11—24no—
279C2×Dic11—22no—
280C2×Dic11—22no—
281C2×Dic11—24no—
282C2×Dic11—24no—
283C2×Dic11—22no—
284C2×Dic11—22no—
285C2×Dic11—24no—
286C2×Dic11—22no—
287C2×Dic11—24no—
288C2×Dic11—48no—
289C2×Dic11—44no—
290C2×Dic11—44no—
291C2×Dic11—48no—
292C2×Dic11C22×Q814yes—
293C4×D11—416no—
294Dic22—416no—
295C23×Q8—111no—
296C23×D4—111no—
297C24×C4—111no—
298C24×C4C2×D1112yes—
299C24×C4C2×D1111yescharacteristic
300C2×C22⋊Q8—118no—
301C2×C22⋊Q8—118no—
302C2×C22⋊Q8—228no—
303C2×C22⋊Q8—228no—
304C2×C4×D4—118no—
305C2×C4×D4—228no—
306C22×C4⋊C4—28no—
307C22×C4⋊C4—112no—
308C22×C4⋊C4—111no—
309C22×C4⋊C4—112no—
310C22×C4⋊C4—111no—
311C22×C4⋊C4—112no—
312C22×C4⋊C4C2×D1112yes—
313C22×C4⋊C4C2×D1111yescharacteristic
314C22×C4⋊C4C2×D1111yescharacteristic
315C22×C4⋊C4C2×D1118yescomplemented
316C22×C22⋊C4—111no—
317C22×C22⋊C4—112no—
318C22×C22⋊C4—111no—
319C22×C22⋊C4—112no—
320C22×C22⋊C4—112no—
321C22×C42—111no—
322#398—1116no—
323#396—1116no—
324#391—118no—
325#389—118no—
326#386—1116no—
327#380—1116no—
328#380—118no—
329C2×#95—112no—
330C2×#95—112no—
331C2×#95—112no—
332C2×#95—112no—
333C22×C11—24no—
334C22×C11—232no—
335C22×C11—24no—
336C22×C11—24no—
337C22×C11—24no—
338C22×C11—24no—
339C22×C11—24no—
340C22×C11C2×#12114yes—
341C22×C11C2×C22⋊Q814yes—
342C22×C11C2×C22⋊Q818yescomplemented
343C22×C11#53714yes—
344C22×C11#54614yes—
345C22×C11D4×Q814yes—
346C22×C11#55214yes—
347C22×C11#55414yes—
348C22×C11C23×D411yescharacteristic
349C22×C11C23×D411yescharacteristic
350C22×C11C23×Q811yescharacteristic
351C22×C11C22×#4111yescharacteristic
352C22×C11C22×#4111yescharacteristic
353C22×C11C2×H(5,𝔽2)11yescharacteristic
354C22×C11C2×2−1+411yescharacteristic
355C2×D11—24no—
356C2×D11—24no—
357C2×D11—24no—
358C2×D11—42no—
359C2×D11—416no—
360C2×D11—42no—
361C2×D11—42no—
362C2×D11—42no—
363C4×C11—24no—
364C4×C11—28no—
365C4×C11—44no—
366C4×C11C2×#12118yes—
367Dic11—24no—
368Dic11—44no—
369Dic11—42no—
370Dic11—42no—
371Dic11—44no—
372C25—111no—
373C25C22×D1111yescharacteristic
374C22×Q8—114no—
375C22×Q8—224no—
376C22×Q8—224no—
377C22×Q8—224no—
378C22×D4—118no—
379C22×D4—114no—
380C22×D4—224no—
381C22×D4—224no—
382C23×C4—24no—
383C23×C4—24no—
384C23×C4—28no—
385C23×C4—28no—
386C23×C4—44no—
387C23×C4—111no—
388C23×C4—112no—
389C23×C4—112no—
390C23×C4—111no—
391C23×C4—111no—
392C23×C4—114no—
393C23×C4—224no—
394C23×C4—224no—
395C23×C4—224no—
396C23×C4D4418yes—
397C23×C4C22×D1112yes—
398C23×C4C22×D1118yes—
399C23×C4C22×D1114yes—
400C23×C4C22×D1111yescharacteristic
401C23×C4C22×D1112yes—
402C23×C4C22×D1111yescharacteristic
403C22⋊Q8—2232no—
404C22⋊Q8—2232no—
405C4×D4—2232no—
406C2×C4⋊C4—28no—
407C2×C4⋊C4—24no—
408C2×C4⋊C4—232no—
409C2×C4⋊C4—114no—
410C2×C4⋊C4—114no—
411C2×C4⋊C4—118no—
412C2×C4⋊C4—118no—
413C2×C4⋊C4—118no—
414C2×C4⋊C4—224no—
415C2×C4⋊C4—228no—
416C2×C4⋊C4—224no—
417C2×C4⋊C4—228no—
418C2×C4⋊C4—444no—
419C2×C4⋊C4C22⋊D1118yescomplemented
420C2×C4⋊C4C22×D1114yes—
421C2×C4⋊C4C22×D1118yes—
422C2×C4⋊C4C22×D1114yes—
423C2×C22⋊C4—114no—
424C2×C22⋊C4—118no—
425C2×C22⋊C4—114no—
426C2×C22⋊C4—118no—
427C2×C22⋊C4—118no—
428C2×C22⋊C4—224no—
429C2×C22⋊C4—228no—
430C2×C22⋊C4—224no—
431C2×C22⋊C4—228no—
432C2×C22⋊C4—444no—
433C2×C42—114no—
434C2×C42—224no—
435#95—118no—
436#95—118no—
437#95—118no—
438#95—118no—
439C2×C11—28no—
440C2×C11#241718yescomplemented
441C2×C11C22×#12111yescharacteristic
442C2×C11C22×C22⋊Q811yescharacteristic
443C2×C11C2×#53711yescharacteristic
444C2×C11C2×#54611yescharacteristic
445C2×C11C2×D4×Q811yescharacteristic
446C2×C11C2×#55211yescharacteristic
447C2×C11C2×#55411yescharacteristic
448D11—44no—
449C24—22no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—114no—
454C24—112no—
455C24—222no—
456C24—222no—
457C24—222no—
458C24—222no—
459C24—222no—
460C24—222no—
461C24C2×D4414yes—
462C24#434114yes—
463C24Q8×D1114yes—
464C24C23×D1112yes—
465C24C23×D1111yescharacteristic
466C2×Q8—228no—
467C2×Q8—228no—
468C2×Q8—228no—
469C2×Q8—4416no—
470C2×D4—1116no—
471C2×D4—2232no—
472C2×D4—228no—
473C2×D4—228no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—232no—
479C22×C4—28no—
480C22×C4—28no—
481C22×C4—216no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—216no—
486C22×C4—48no—
487C22×C4—432no—
488C22×C4—114no—
489C22×C4—112no—
490C22×C4—112no—
491C22×C4—114no—
492C22×C4—114no—
493C22×C4—112no—
494C22×C4—222no—
495C22×C4—222no—
496C22×C4—222no—
497C22×C4—224no—
498C22×C4—222no—
499C22×C4—224no—
500C22×C4—222no—
501C22×C4—224no—
502C22×C4—224no—
503C22×C4—222no—
504C22×C4—224no—
505C22×C4—222no—
506C22×C4—224no—
507C22×C4—222no—
508C22×C4—228no—
509C22×C4—228no—
510C22×C4—228no—
511C22×C4—4416no—
512C22×C4C2×D4414yes—
513C22×C4C2×D44116yes—
514C22×C4C2×D4414yes—
515C22×C4#433914yes—
516C22×C4C2×C22⋊D1118yes—
517C22×C4C2×C22⋊D1114yes—
518C22×C4C23×D1114yes—
519C22×C4C23×D1112yes—
520C22×C4C23×D1114yes—
521C22×C4C23×D1112yes—
522C4⋊C4—216no—
523C4⋊C4—28no—
524C4⋊C4—228no—
525C4⋊C4—2216no—
526C4⋊C4—228no—
527C4⋊C4—2216no—
528C4⋊C4—448no—
529C4⋊C4C2×C22⋊D11116yescomplemented
530C22⋊C4—228no—
531C22⋊C4—2216no—
532C22⋊C4—228no—
533C22⋊C4—2216no—
534C22⋊C4—448no—
535C42—228no—
536C11C2×#241711yescharacteristic, complemented, Sylow
537C23—28no—
538C23—28no—
539C23—28no—
540C23—28no—
541C23—28no—
542C23—28no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—114no—
548C23—228no—
549C23—228no—
550C23—228no—
551C23—222no—
552C23—222no—
553C23—222no—
554C23—222no—
555C23—222no—
556C23—222no—
557C23—444no—
558C23—444no—
559C23—444no—
560C23—444no—
561C23#66950116yescomplemented
562C23C22×D4414yes—
563C23C22×D4412yes—
564C23C2×#433912yes—
565C23C2×#434114yes—
566C23C2×#434112yes—
567C23#6703712yes—
568C23C2×Q8×D1114yes—
569C23C2×Q8×D1112yes—
570C23#6704012yes—
571C23C22×C22⋊D1112yes—
572C23C24×D1111yescharacteristic
573Q8—4416no—
574D4—2232no—
575C2×C4—28no—
576C2×C4—216no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—22no—
581C2×C4—232no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—432no—
586C2×C4—48no—
587C2×C4—114no—
588C2×C4—228no—
589C2×C4—222no—
590C2×C4—222no—
591C2×C4—222no—
592C2×C4—224no—
593C2×C4—222no—
594C2×C4—224no—
595C2×C4—222no—
596C2×C4—224no—
597C2×C4—224no—
598C2×C4—222no—
599C2×C4—222no—
600C2×C4—224no—
601C2×C4—224no—
602C2×C4—222no—
603C2×C4—444no—
604C2×C4—448no—
605C2×C4—444no—
606C2×C4—448no—
607C2×C4—4416no—
608C2×C4#66983116yes—
609C2×C4C22×D4414yes—
610C2×C4C22×D4414yes—
611C2×C4C2×#433914yes—
612C2×C4C22×C22⋊D1118yes—
613C2×C4C22×C22⋊D1114yes—
614C22—24no—
615C22—24no—
616C22—24no—
617C22—232no—
618C22—24no—
619C22—24no—
620C22—24no—
621C22—224no—
622C22—224no—
623C22—224no—
624C22—442no—
625C22—442no—
626C22—4416no—
627C22—442no—
628C22—442no—
629C22C2×#6695014yes—
630C22C2×#6695018yescomplemented
631C22#1062304114yes—
632C22#1062304214yes—
633C22#1062304414yes—
634C22C2×#6698314yes—
635C22#1062333714yes—
636C22Q8×C22⋊D1114yes—
637C22C23×D4411yescharacteristic
638C22C22×#433911yescharacteristic
639C22C22×#434111yescharacteristic
640C22C2×#6703711yescharacteristic
641C22C22×Q8×D1111yescharacteristic
642C22C2×#6704011yescharacteristic
643C22C23×C22⋊D1111yescharacteristic
644C4—28no—
645C4—24no—
646C4—44no—
647C4—224no—
648C4—442no—
649C4—444no—
650C4—442no—
651C4—444no—
652C4C2×#6698318yes—
653C2—28no—
654C2—444no—
655C2#1307206118yesdirect product factor
656C2C22×#6698311yescharacteristic
657C2C22×#6695011yescharacteristic
658C2C2×#1062304111yescharacteristic
659C2C2×#1062333711yescharacteristic
660C2C2×Q8×C22⋊D1111yescharacteristic
661C2C2×#1062304411yescharacteristic
662C2C2×#1062304211yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC23×C11×C4⋊C4C2
socleC24×C11C24
prime radicalC23×C22⋊D11C22
hypercenterC23×C4⋊C4D11
hypocenterC11C2×#2417
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C23×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#66950C2semidirect
2. C22×#66977C2semidirect
4. #13072061C2direct (N × H)
5. C2×#10622596C2semidirect
6. C2×#10622607C2semidirect
7. C2×#10622587C2semidirect
8. C2×#10622598C2semidirect
10. C2×#10622825C2semidirect
11. C2×#10622600C2semidirect
12. C23×C11×C4⋊C4C2semidirect
22. C22×C11×C4⋊C4C22semidirect
34. C2×#66977C22semidirect
39. C2×#66950C22semidirect
41. #10622825C22semidirect
46. #10622607C22semidirect
47. #10622600C22semidirect
48. #10622598C22semidirect
49. #10622596C22semidirect
50. #10622587C22semidirect
67. C22×C22⋊D11Q8semidirect
85. C2×C11×C4⋊C4D4semidirect
163. C2×C22⋊D11C2×Q8semidirect
194. C11×C4⋊C4C2×D4semidirect
209. C23×C4⋊C4D11semidirect
228. C23×C11C22⋊Q8semidirect
315. C22×C4⋊C4C2×D11semidirect
342. C22×C11C2×C22⋊Q8semidirect
419. C2×C4⋊C4C22⋊D11semidirect
440. C2×C11#2417semidirect
529. C4⋊C4C2×C22⋊D11semidirect
536. C11C2×#2417semidirect
561. C23#66950semidirect
630. C22C2×#66950semidirect
655. C2#13072061direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669502
C22×#669772
C22×C4×C22⋊D112
#130720612
C2×#106225962
C2×#106226072
C2×#106225872
C2×#106225982
C2×#106228262
C2×#106228252
C2×#106226002
C23×C11×C4⋊C42
C2×#241711