Finite Group Databasebeta

← C2×#13071271 #14912486

Subgroups — C2×#13071271 #14912486

Order 2816.

5094 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#67006C211yesmaximal, characteristic
2C22×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
3C23×C22⋊Dic11C211yesmaximal, characteristic, complemented
4#13071271C2116yesmaximal, direct product factor
5C2×#10622570C212yesmaximal, complemented
6C2×#10622558C212yesmaximal, complemented
7C2×#10622557C212yesmaximal, complemented
8C2×#10622571C211yesmaximal, characteristic, complemented
9C2×#10622569C212yesmaximal, complemented
10C2×#10622559C211yesmaximal, characteristic, complemented
11C2×C22⋊C4×Dic11C211yesmaximal, characteristic, complemented
12C2×C11×#379C211yesmaximal, characteristic, complemented
13C26×C11C2211yescharacteristic
14C23×C22⋊D11C2211yescharacteristic
15C23×C22⋊D11C2212yes—
16C24×Dic11C2211yescharacteristic
17C24×Dic11C2211yescharacteristic
18C23×C4×D11C2211yescharacteristic, complemented
19C22×C11×C22⋊C4C2211yescharacteristic
20C22×C11×C22⋊C4C2211yescharacteristic
21C22×C11×C22⋊C4C2212yes—
22C22×C11×C22⋊C4C2212yes—
23C2×#67006C4116yescomplemented
24C2×#67006C2218yes—
25C22×C22⋊Dic11—28no—
26C22×C22⋊Dic11C2212yes—
27C22×C22⋊Dic11C2212yes—
28C22×C22⋊Dic11C2211yescharacteristic
29C22×C22⋊Dic11C2212yes—
30C22×C22⋊Dic11C2218yescomplemented
31C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
32C22×(C2×D11)⋊C4C2212yescomplemented
33C22×Dic11⋊C4C2211yescharacteristic, complemented
34C22×Dic11⋊C4C2212yescomplemented
35C22×C4×Dic11C2211yescharacteristic, complemented
36C22×C4×Dic11C2212yescomplemented
37C2×(C22⋊D11)⋊C4—28no—
38C2×(C22⋊D11)⋊C4C2218yescomplemented
39C11×#379C2218yescomplemented
40C2×C11⋊#95C2212yescomplemented
41C2×C11⋊#95C2212yescomplemented
42C2×C11⋊#95C2212yescomplemented
43#10622571C2218yescomplemented
44#10622570C22116yescomplemented
45#10622569C22116yescomplemented
46#10622559C2218yescomplemented
47#10622558C22116yescomplemented
48#10622557C22116yescomplemented
49C22⋊C4×Dic11C2218yescomplemented
50C25×C11—24no—
51C25×C11—24no—
52C25×C11—44no—
53C25×C11—44no—
54C25×C11C2×C418yescomplemented
55C25×C11C2312yes—
56C25×C11C2311yescharacteristic
57C25×C11C2314yes—
58C24×D11C2311yescharacteristic
59C23×C4×C11C2311yescharacteristic
60C23×C4×C11C2312yes—
61C23×C4×C11C2311yescharacteristic
62C22×C22⋊D11—24no—
63C22×C22⋊D11—24no—
64C22×C22⋊D11—44no—
65C22×C22⋊D11—44no—
66C22×C22⋊D11C2×C418yes—
67C22×C22⋊D11C2×C4116yescomplemented
68C22×C22⋊D11C2314yes—
69C22×C22⋊D11C2318yes—
70C23×Dic11—24no—
71C23×Dic11—44no—
72C23×Dic11—44no—
73C23×Dic11D418yescomplemented
74C23×Dic11C2312yes—
75C23×Dic11C2311yescharacteristic
76C23×Dic11C2312yes—
77C23×Dic11C2311yescharacteristic
78C23×Dic11C2311yescharacteristic
79C23×Dic11C2314yes—
80C23×Dic11C2314yes—
81C22×C4×D11—24no—
82C22×C4×D11—44no—
83C22×C4×D11C2314yescomplemented
84C2×C11×C22⋊C4—24no—
85C2×C11×C22⋊C4—24no—
86C2×C11×C22⋊C4—44no—
87C2×C11×C22⋊C4—44no—
88C2×C11×C22⋊C4C2314yes—
89C2×C11×C22⋊C4C2314yes—
90C2×C11×C22⋊C4C2318yes—
91C2×C11×C22⋊C4C2318yes—
92#67006C2×C4164yescomplemented
93C2×C22⋊Dic11—28no—
94C2×C22⋊Dic11—28no—
95C2×C22⋊Dic11—232no—
96C2×C22⋊Dic11C2×C4116yescomplemented
97C2×C22⋊Dic11C2×C418yescomplemented
98C2×C22⋊Dic11C2318yes—
99C2×C22⋊Dic11C2318yes—
100C2×C22⋊Dic11C2314yes—
101C2×C22⋊Dic11C2318yes—
102C2×(C2×D11)⋊C4—24no—
103C2×(C2×D11)⋊C4—44no—
104C2×(C2×D11)⋊C4C2314yescomplemented
105C2×(C2×D11)⋊C4C2318yescomplemented
106C2×Dic11⋊C4—24no—
107C2×Dic11⋊C4—44no—
108C2×Dic11⋊C4C2314yescomplemented
109C2×Dic11⋊C4C2318yescomplemented
110C2×C4×Dic11—24no—
111C2×C4×Dic11—44no—
112C2×C4×Dic11C2314yescomplemented
113C2×C4×Dic11C2318yescomplemented
114(C22⋊D11)⋊C4—232no—
115C11⋊#95C2318yescomplemented
116C11⋊#95C2318yescomplemented
117C11⋊#95C2318yescomplemented
118C2×#2321—111nomaximal, Sylow
119C24×C11—24no—
120C24×C11—24no—
121C24×C11—232no—
122C24×C11—24no—
123C24×C11—28no—
124C24×C11—24no—
125C24×C11—28no—
126C24×C11—24no—
127C24×C11—24no—
128C24×C11—24no—
129C24×C11—24no—
130C24×C11—432no—
131C24×C11—48no—
132C24×C11—48no—
133C24×C11—416no—
134C24×C11—416no—
135C24×C11—432no—
136C24×C11C22×C418yes—
137C24×C11C22×C414yes—
138C24×C11C22×C4116yescomplemented
139C24×C11C2×D414yes—
140C24×C11#4114yes—
141C24×C11C2414yes—
142C24×C11C2412yes—
143C24×C11C2411yescharacteristic
144C23×D11—22no—
145C23×D11—22no—
146C23×D11—24no—
147C23×D11—24no—
148C23×D11C22×C414yes—
149C23×D11C2412yes—
150C22×C4×C11—22no—
151C22×C4×C11—22no—
152C22×C4×C11—24no—
153C22×C4×C11—24no—
154C22×C4×C11—24no—
155C22×C4×C11—24no—
156C22×C4×C11—24no—
157C22×C4×C11C2414yes—
158C22×C4×C11C2412yes—
159C22×C4×C11C2412yes—
160C2×C22⋊D11—232no—
161C2×C22⋊D11—28no—
162C2×C22⋊D11—28no—
163C2×C22⋊D11—432no—
164C2×C22⋊D11—48no—
165C2×C22⋊D11—48no—
166C2×C22⋊D11C22×C4116yes—
167C2×C22⋊D11C22×C4132yescomplemented
168C22×Dic11—22no—
169C22×Dic11—28no—
170C22×Dic11—24no—
171C22×Dic11—22no—
172C22×Dic11—24no—
173C22×Dic11—24no—
174C22×Dic11—24no—
175C22×Dic11—24no—
176C22×Dic11—24no—
177C22×Dic11—24no—
178C22×Dic11—416no—
179C22×Dic11—48no—
180C22×Dic11—48no—
181C22×Dic11—416no—
182C22×Dic11C22×C414yes—
183C22×Dic11C22×C418yes—
184C22×Dic11C2×D414yes—
185C22×Dic11C2×D414yes—
186C22×Dic11C2×D4116yescomplemented
187C22×Dic11C2414yes—
188C22×Dic11C2412yes—
189C22×Dic11C2414yes—
190C22×Dic11C2412yes—
191C22×Dic11C2412yes—
192C2×C4×D11—28no—
193C2×C4×D11—48no—
194C2×C4×D11—416no—
195C11×C22⋊C4—28no—
196C11×C22⋊C4—28no—
197C11×C22⋊C4—48no—
198C11×C22⋊C4—48no—
199C22⋊Dic11—216no—
200C22⋊Dic11—216no—
201C22⋊Dic11C22×C4132yescomplemented
202C22⋊Dic11C22×C4116yescomplemented
203(C2×D11)⋊C4—28no—
204(C2×D11)⋊C4—48no—
205Dic11⋊C4—28no—
206Dic11⋊C4—48no—
207C4×Dic11—28no—
208C4×Dic11—48no—
209C22×#120—111no—
210C22×C4×D4—111no—
211C23×C22⋊C4—111no—
212#2321—1116no—
213C2×#390—112no—
214C2×#388—112no—
215C2×#388—112no—
216C2×#386—112no—
217C2×#386—111no—
218C2×#385—111no—
219C2×#379D1111yescharacteristic, complemented
220C2×C4×C22⋊C4—111no—
221C23×C11—216no—
222C23×C11—28no—
223C23×C11—28no—
224C23×C11—216no—
225C23×C11—24no—
226C23×C11—24no—
227C23×C11—216no—
228C23×C11—232no—
229C23×C11—216no—
230C23×C11—216no—
231C23×C11—24no—
232C23×C11—24no—
233C23×C11—24no—
234C23×C11—24no—
235C23×C11—24no—
236C23×C11—24no—
237C23×C11—432no—
238C23×C11—4128no—
239C23×C11—416no—
240C23×C11—416no—
241C23×C11—432no—
242C23×C11—48no—
243C23×C11—48no—
244C23×C11—48no—
245C23×C11—48no—
246C23×C11C4×D4116yes—
247C23×C11C23×C418yes—
248C23×C11C23×C414yes—
249C23×C11C23×C412yes—
250C23×C11C22×D414yes—
251C23×C11C22×D412yes—
252C23×C11C2×#4114yes—
253C23×C11C2×#4112yes—
254C23×C11H(5,𝔽2)14yes—
255C23×C11H(5,𝔽2)14yes—
256C23×C11C2511yescharacteristic
257C22×D11—28no—
258C22×D11—216no—
259C22×D11—22no—
260C22×D11—22no—
261C22×D11—24no—
262C22×D11—24no—
263C22×D11—44no—
264C22×D11—44no—
265C22×D11—48no—
266C22×D11C23×C414yes—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—24no—
270C2×C4×C11—24no—
271C2×C4×C11—24no—
272C2×C4×C11—24no—
273C2×C4×C11—24no—
274C2×C4×C11—44no—
275C2×C4×C11—44no—
276C2×C4×C11—48no—
277C22⋊D11—232no—
278C22⋊D11—432no—
279C2×Dic11—28no—
280C2×Dic11—216no—
281C2×Dic11—28no—
282C2×Dic11—28no—
283C2×Dic11—22no—
284C2×Dic11—22no—
285C2×Dic11—24no—
286C2×Dic11—24no—
287C2×Dic11—24no—
288C2×Dic11—24no—
289C2×Dic11—24no—
290C2×Dic11—24no—
291C2×Dic11—24no—
292C2×Dic11—416no—
293C2×Dic11—416no—
294C2×Dic11—48no—
295C2×Dic11C23×C414yes—
296C2×Dic11C23×C418yes—
297C2×Dic11C22×D414yes—
298C2×Dic11C22×D414yes—
299C4×D11—416no—
300C26C2×D1111yescharacteristic
301C23×D4—111no—
302C23×D4—112no—
303C24×C4—111no—
304C24×C4—111no—
305C24×C4—111no—
306C2×#120—118no—
307C2×#120—1116no—
308C2×C4×D4—118no—
309C2×C4×D4—228no—
310C22×C4⋊C4—111no—
311C22×C4⋊C4—112no—
312C22×C22⋊C4—111no—
313C22×C22⋊C4—112no—
314C22×C22⋊C4—118no—
315C22×C22⋊C4—112no—
316C22×C22⋊C4—112no—
317C22×C22⋊C4—111no—
318C22×C22⋊C4—112no—
319C22×C22⋊C4—228no—
320C22×C22⋊C4C2×D1111yescharacteristic
321C22×C22⋊C4C2×D1111yescharacteristic
322C22×C22⋊C4C2×D1112yes—
323C22×C22⋊C4C2×D1112yes—
324C22×C42—111no—
325C22×C42—112no—
326#390—1116no—
327#388—1116no—
328#388—1116no—
329#386—1116no—
330#386—118no—
331#385—118no—
332#379C2×D1118yescomplemented
333C4×C22⋊C4—118no—
334C2×#95—112no—
335C2×#95—112no—
336C2×#95—112no—
337C22×C11—232no—
338C22×C11—28no—
339C22×C11—24no—
340C22×C11—24no—
341C22×C11—28no—
342C22×C11—28no—
343C22×C11—28no—
344C22×C11—28no—
345C22×C11—464no—
346C22×C11—432no—
347C22×C11—44no—
348C22×C11—44no—
349C22×C11—44no—
350C22×C11—44no—
351C22×C11C2×C4×D418yes—
352C22×C11C2×C4×D414yes—
353C22×C11#51818yes—
354C22×C11#53414yes—
355C22×C11#53514yes—
356C22×C11#53818yes—
357C22×C11C24×C411yescharacteristic
358C22×C11C23×D411yescharacteristic
359C22×C11C22×#4111yescharacteristic
360C22×C11C2×H(5,𝔽2)12yes—
361C22×C11C2×H(5,𝔽2)12yes—
362C2×D11—24no—
363C2×D11—28no—
364C2×D11—416no—
365C2×D11—42no—
366C2×D11—42no—
367C2×D11—44no—
368C4×C11—42no—
369C4×C11—42no—
370C4×C11—44no—
371Dic11—24no—
372Dic11—28no—
373Dic11—24no—
374Dic11—24no—
375Dic11—44no—
376C25—24no—
377C25—24no—
378C25—44no—
379C25—44no—
380C25—111no—
381C25C4×D1118yescomplemented
382C25C22×D1112yes—
383C25C22×D1111yescharacteristic
384C25C22×D1114yes—
385C22×D4—118no—
386C22×D4—114no—
387C22×D4—1116no—
388C22×D4—118no—
389C22×D4—224no—
390C22×D4—224no—
391C22×D4—444no—
392C22×D4—444no—
393C23×C4—111no—
394C23×C4—111no—
395C23×C4—112no—
396C23×C4—111no—
397C23×C4—118no—
398C23×C4—114no—
399C23×C4—112no—
400C23×C4—114no—
401C23×C4—114no—
402C23×C4—224no—
403C23×C4—224no—
404C23×C4—444no—
405C23×C4—444no—
406C23×C4—444no—
407C23×C4C22×D1111yescharacteristic
408C23×C4C22×D1112yes—
409C23×C4C22×D1111yescharacteristic
410#120—1164no—
411C4×D4—2232no—
412C2×C4⋊C4—114no—
413C2×C4⋊C4—118no—
414C2×C4⋊C4—224no—
415C2×C4⋊C4—444no—
416C2×C22⋊C4—24no—
417C2×C22⋊C4—24no—
418C2×C22⋊C4—44no—
419C2×C22⋊C4—44no—
420C2×C22⋊C4—1116no—
421C2×C22⋊C4—118no—
422C2×C22⋊C4—114no—
423C2×C22⋊C4—118no—
424C2×C22⋊C4—118no—
425C2×C22⋊C4—118no—
426C2×C22⋊C4—114no—
427C2×C22⋊C4—118no—
428C2×C22⋊C4—224no—
429C2×C22⋊C4—228no—
430C2×C22⋊C4—228no—
431C2×C22⋊C4—2232no—
432C2×C22⋊C4—444no—
433C2×C22⋊C4C22×D1114yes—
434C2×C22⋊C4C22×D1114yes—
435C2×C22⋊C4C22×D1118yes—
436C2×C22⋊C4C22×D1118yes—
437C2×C42—114no—
438C2×C42—118no—
439C2×C42—224no—
440C2×C42—444no—
441#95—118no—
442#95—118no—
443#95—118no—
444C2×C11—28no—
445C2×C11—48no—
446C2×C11#232118yescomplemented
447C2×C11C22×C4×D411yescharacteristic
448C2×C11C2×#51812yes—
449C2×C11C2×#53411yescharacteristic
450C2×C11C2×#53511yescharacteristic
451C2×C11C2×#53812yes—
452D11—44no—
453C24—24no—
454C24—24no—
455C24—232no—
456C24—24no—
457C24—28no—
458C24—24no—
459C24—28no—
460C24—24no—
461C24—24no—
462C24—24no—
463C24—24no—
464C24—48no—
465C24—48no—
466C24—432no—
467C24—416no—
468C24—416no—
469C24—432no—
470C24—114no—
471C24—112no—
472C24—222no—
473C24—222no—
474C24—224no—
475C24—224no—
476C24C2×C4×D1118yes—
477C24C2×C4×D1114yes—
478C24C2×C4×D11116yescomplemented
479C24D4×D1114yes—
480C24#434114yes—
481C24C23×D1114yes—
482C24C23×D1112yes—
483C24C23×D1111yescharacteristic
484C2×D4—1116no—
485C2×D4—1132no—
486C2×D4—2232no—
487C2×D4—228no—
488C2×D4—228no—
489C2×D4—4432no—
490C2×D4—448no—
491C2×D4—448no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—114no—
500C22×C4—118no—
501C22×C4—114no—
502C22×C4—114no—
503C22×C4—112no—
504C22×C4—114no—
505C22×C4—112no—
506C22×C4—112no—
507C22×C4—1116no—
508C22×C4—114no—
509C22×C4—228no—
510C22×C4—222no—
511C22×C4—222no—
512C22×C4—224no—
513C22×C4—224no—
514C22×C4—224no—
515C22×C4—224no—
516C22×C4—228no—
517C22×C4—224no—
518C22×C4—224no—
519C22×C4—224no—
520C22×C4—448no—
521C22×C4—4416no—
522C22×C4—4416no—
523C22×C4—448no—
524C22×C4—448no—
525C22×C4—4416no—
526C22×C4C23×D1114yes—
527C22×C4C23×D1112yes—
528C22×C4C23×D1112yes—
529C4⋊C4—228no—
530C4⋊C4—448no—
531C22⋊C4—28no—
532C22⋊C4—28no—
533C22⋊C4—48no—
534C22⋊C4—48no—
535C22⋊C4—1132no—
536C22⋊C4—1116no—
537C22⋊C4—228no—
538C22⋊C4—2216no—
539C22⋊C4—2216no—
540C22⋊C4—448no—
541C42—228no—
542C42—448no—
543C11C2×#232111yescharacteristic, complemented, Sylow
544C23—216no—
545C23—28no—
546C23—28no—
547C23—216no—
548C23—24no—
549C23—24no—
550C23—216no—
551C23—232no—
552C23—216no—
553C23—216no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—432no—
561C23—416no—
562C23—416no—
563C23—432no—
564C23—4128no—
565C23—48no—
566C23—48no—
567C23—48no—
568C23—48no—
569C23—114no—
570C23—228no—
571C23—2216no—
572C23—222no—
573C23—222no—
574C23—224no—
575C23—224no—
576C23—444no—
577C23—444no—
578C23—448no—
579C23(C22⋊D11)⋊C4116yes—
580C23C22×C4×D1118yes—
581C23C22×C4×D1114yes—
582C23C22×C4×D1112yes—
583C23C2×D4×D1114yes—
584C23C2×D4×D1112yes—
585C23C2×#434114yes—
586C23C2×#434112yes—
587C23#6703714yes—
588C23#6703714yes—
589C23C24×D1111yescharacteristic
590D4—2232no—
591D4—4432no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—44no—
600C2×C4—44no—
601C2×C4—48no—
602C2×C4—114no—
603C2×C4—118no—
604C2×C4—114no—
605C2×C4—114no—
606C2×C4—228no—
607C2×C4—2216no—
608C2×C4—228no—
609C2×C4—228no—
610C2×C4—222no—
611C2×C4—222no—
612C2×C4—224no—
613C2×C4—224no—
614C2×C4—224no—
615C2×C4—224no—
616C2×C4—224no—
617C2×C4—224no—
618C2×C4—224no—
619C2×C4—4416no—
620C2×C4—4416no—
621C2×C4—4416no—
622C2×C4—448no—
623C22—24no—
624C22—24no—
625C22—28no—
626C22—232no—
627C22—28no—
628C22—28no—
629C22—28no—
630C22—28no—
631C22—464no—
632C22—44no—
633C22—44no—
634C22—44no—
635C22—44no—
636C22—432no—
637C22—224no—
638C22—228no—
639C22—442no—
640C22—442no—
641C22—444no—
642C22—4416no—
643C22C2×(C22⋊D11)⋊C418yes—
644C22C2×(C22⋊D11)⋊C414yes—
645C22#1062301718yes—
646C22#1062312014yes—
647C22#1062312314yes—
648C22#1062312418yes—
649C22C23×C4×D1111yescharacteristic
650C22C22×D4×D1111yescharacteristic
651C22C22×#434111yescharacteristic
652C22C2×#6703712yes—
653C22C2×#6703712yes—
654C4—42no—
655C4—42no—
656C4—44no—
657C4—224no—
658C4—224no—
659C4—224no—
660C4—228no—
661C4—444no—
662C2—28no—
663C2—48no—
664C2—444no—
665C2#1307127118yesdirect product factor
666C2C22×(C22⋊D11)⋊C411yescharacteristic
667C2C2×#1062301712yes—
668C2C2×#1062312011yescharacteristic
669C2C2×#1062312311yescharacteristic
670C2C2×#1062312412yes—
subgroupG/H
centerC24C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC2×C11×#379C2
socleC24×C11C24
prime radicalC22×#67006C2
cosocleC23×C11C25
hypercenterC2×#379D11
hypocenterC11C2×#2321
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#379

Complements

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

NH ≅ G/Ntype
2. C22×(C22⋊D11)⋊C4C2semidirect
3. C23×C22⋊Dic11C2semidirect
4. #13071271C2direct (N × H)
5. C2×#10622570C2semidirect
6. C2×#10622558C2semidirect
7. C2×#10622557C2semidirect
8. C2×#10622571C2semidirect
9. C2×#10622569C2semidirect
10. C2×#10622559C2semidirect
11. C2×C22⋊C4×Dic11C2semidirect
12. C2×C11×#379C2semidirect
18. C23×C4×D11C22semidirect
23. C2×#67006C4semidirect
30. C22×C22⋊Dic11C22semidirect
31. C22×(C2×D11)⋊C4C22semidirect
32. C22×(C2×D11)⋊C4C22semidirect
33. C22×Dic11⋊C4C22semidirect
34. C22×Dic11⋊C4C22semidirect
35. C22×C4×Dic11C22semidirect
36. C22×C4×Dic11C22semidirect
38. C2×(C22⋊D11)⋊C4C22semidirect
39. C11×#379C22semidirect
40. C2×C11⋊#95C22semidirect
41. C2×C11⋊#95C22semidirect
42. C2×C11⋊#95C22semidirect
43. #10622571C22semidirect
44. #10622570C22semidirect
45. #10622569C22semidirect
46. #10622559C22semidirect
47. #10622558C22semidirect
48. #10622557C22semidirect
49. C22⋊C4×Dic11C22semidirect
54. C25×C11C2×C4semidirect
67. C22×C22⋊D11C2×C4semidirect
73. C23×Dic11D4semidirect
83. C22×C4×D11C23semidirect
92. #67006C2×C4semidirect
96. C2×C22⋊Dic11C2×C4semidirect
97. C2×C22⋊Dic11C2×C4semidirect
104. C2×(C2×D11)⋊C4C23semidirect
105. C2×(C2×D11)⋊C4C23semidirect
108. C2×Dic11⋊C4C23semidirect
109. C2×Dic11⋊C4C23semidirect
112. C2×C4×Dic11C23semidirect
113. C2×C4×Dic11C23semidirect
115. C11⋊#95C23semidirect
116. C11⋊#95C23semidirect
117. C11⋊#95C23semidirect
138. C24×C11C22×C4semidirect
167. C2×C22⋊D11C22×C4semidirect
186. C22×Dic11C2×D4semidirect
201. C22⋊Dic11C22×C4semidirect
202. C22⋊Dic11C22×C4semidirect
219. C2×#379D11semidirect
332. #379C2×D11semidirect
381. C25C4×D11semidirect
446. C2×C11#2321semidirect
478. C24C2×C4×D11semidirect
543. C11C2×#2321semidirect
665. C2#13071271direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#670062
C22×(C22⋊D11)⋊C42
C23×C22⋊Dic112
#130712712
C2×#106225702
C2×#106225582
C2×#106225572
C2×#106225712
C2×#106225692
C2×#106225592
C2×C22⋊C4×Dic112
C2×C11×#3792
C2×#232111