Finite Group Databasebeta

← C2×#13073505 #14923786

Subgroups — C2×#13073505 #14923786

Order 2816.

5054 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66990C211yesmaximal, characteristic
2C22×D4×Dic11C211yesmaximal, characteristic, complemented
3C23×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
4#13073505C2116yesmaximal, direct product factor
5C2×#10622607C212yesmaximal, complemented
6C2×#10622572C212yesmaximal, complemented
7C2×#10622603C212yesmaximal, complemented
8C2×#10622571C212yesmaximal, complemented
9C2×#10622824C211yesmaximal, characteristic, complemented
10C2×#10622555C211yesmaximal, characteristic, complemented
11C2×#10622568C211yesmaximal, characteristic, complemented
12C22×C11×#123C211yesmaximal, characteristic, complemented
13C25×D11C2211yescharacteristic
14C23×D4×C11C2211yescharacteristic
15C24×C4×C11C2211yescharacteristic
16C23×C22⋊D11C2212yes—
17C24×Dic11C2211yescharacteristic
18C24×Dic11C2211yescharacteristic, complemented
19C2×C11×#123—28no—
20C2×C11×#123C2218yescomplemented
21C22×C11×C4⋊C4C2212yescomplemented
22C22×C11×C22⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2212yescomplemented
24C22×C22⋊Dic11C2211yescharacteristic
25C22×C22⋊Dic11C2211yescharacteristic
26C22×C22⋊Dic11C2211yescharacteristic, complemented
27C2×#66990—28no—
28C2×#66990C2218yes—
29C2×D4×Dic11—28no—
30C2×D4×Dic11C2218yescomplemented
31C22×(C2×D11)⋊C4—28no—
32C22×(C2×D11)⋊C4C2212yes—
33C22×(C2×D11)⋊C4C2212yes—
34C22×(C2×D11)⋊C4C2212yes—
35C22×(C2×D11)⋊C4C2212yes—
36C22×(C2×D11)⋊C4C2212yes—
37C22×(C2×D11)⋊C4C2218yescomplemented
38C22×C4⋊Dic11C2211yescharacteristic, complemented
39C22×Dic11⋊C4C2212yescomplemented
40C22×C4×Dic11C2211yescharacteristic, complemented
41#10622824C2218yescomplemented
42C2×C11⋊#95C2212yescomplemented
43C2×C11⋊#95C2212yescomplemented
44C2×C11⋊#95C2212yescomplemented
45#10622607C22116yescomplemented
46#10622603C22116yescomplemented
47#10622572C22116yescomplemented
48#10622571C22116yescomplemented
49#10622568C2218yescomplemented
50#10622555C2218yescomplemented
51C25×C11C2311yescharacteristic
52C25×C11C2311yescharacteristic
53C24×D11—24no—
54C24×D11—28no—
55C24×D11—24no—
56C24×D11—24no—
57C24×D11—44no—
58C24×D11C2312yes—
59C24×D11C2314yes—
60C22×D4×C11—24no—
61C22×D4×C11—24no—
62C22×D4×C11D418yes—
63C22×D4×C11C2314yes—
64C23×C4×C11—24no—
65C23×C4×C11—24no—
66C23×C4×C11—24no—
67C23×C4×C11C2312yes—
68C23×C4×C11C2312yes—
69C23×C4×C11C2314yes—
70C23×C4×C11C2311yescharacteristic
71C22×C22⋊D11—28no—
72C22×C22⋊D11—28no—
73C22×C22⋊D11—44no—
74C22×C22⋊D11C2318yes—
75C23×Dic11—24no—
76C23×Dic11—44no—
77C23×Dic11—44no—
78C23×Dic11D418yescomplemented
79C23×Dic11C2311yescharacteristic
80C23×Dic11C2312yes—
81C23×Dic11C2311yescharacteristic
82C23×Dic11C2311yescharacteristic
83C23×Dic11C2311yescharacteristic
84C23×Dic11C2314yes—
85C23×Dic11C2314yescomplemented
86C11×#123—232no—
87C2×C11×C4⋊C4—28no—
88C2×C11×C4⋊C4C2318yescomplemented
89C2×C11×C22⋊C4—24no—
90C2×C11×C22⋊C4—28no—
91C2×C11×C22⋊C4C2314yes—
92C2×C11×C22⋊C4C2318yescomplemented
93C2×C22⋊Dic11—24no—
94C2×C22⋊Dic11—24no—
95C2×C22⋊Dic11—24no—
96C2×C22⋊Dic11C2314yes—
97C2×C22⋊Dic11C2314yes—
98C2×C22⋊Dic11C2314yescomplemented
99#66990—232no—
100D4×Dic11—232no—
101C2×(C2×D11)⋊C4—28no—
102C2×(C2×D11)⋊C4—28no—
103C2×(C2×D11)⋊C4—28no—
104C2×(C2×D11)⋊C4—28no—
105C2×(C2×D11)⋊C4—232no—
106C2×(C2×D11)⋊C4—44no—
107C2×(C2×D11)⋊C4C2318yes—
108C2×(C2×D11)⋊C4C2318yes—
109C2×(C2×D11)⋊C4C2318yes—
110C2×(C2×D11)⋊C4C2318yes—
111C2×(C2×D11)⋊C4C2318yes—
112C2×C4⋊Dic11—24no—
113C2×C4⋊Dic11C2314yescomplemented
114C2×Dic11⋊C4—44no—
115C2×Dic11⋊C4C2318yescomplemented
116C2×C4×Dic11—24no—
117C2×C4×Dic11C2314yescomplemented
118C11⋊#95C2318yescomplemented
119C11⋊#95C2318yescomplemented
120C11⋊#95C2318yescomplemented
121C2×#2534—111nomaximal, Sylow
122C24×C11—24no—
123C24×C11—24no—
124C24×C11—22no—
125C24×C11—24no—
126C24×C11—22no—
127C24×C11—24no—
128C24×C11C2×D414yes—
129C24×C11C2×D414yes—
130C24×C11C2×D414yes—
131C24×C11#4114yes—
132C24×C11C2412yes—
133C24×C11C2412yes—
134C24×C11C2411yescharacteristic
135C23×D11—232no—
136C23×D11—28no—
137C23×D11—24no—
138C23×D11—24no—
139C23×D11—24no—
140C23×D11—24no—
141C23×D11—24no—
142C23×D11—24no—
143C23×D11—216no—
144C23×D11—28no—
145C23×D11—28no—
146C23×D11—48no—
147C23×D11—432no—
148C23×D11—432no—
149C23×D11—416no—
150C23×D11—416no—
151C23×D11#4118yes—
152C23×D11C2414yes—
153C2×D4×C11—232no—
154C2×D4×C11—28no—
155C2×D4×C11—28no—
156C2×D4×C11C2×D4116yes—
157C22×C4×C11—22no—
158C22×C4×C11—22no—
159C22×C4×C11—28no—
160C22×C4×C11—24no—
161C22×C4×C11—24no—
162C22×C4×C11—24no—
163C22×C4×C11—28no—
164C22×C4×C11—24no—
165C22×C4×C11—28no—
166C22×C4×C11—24no—
167C22×C4×C11—24no—
168C22×C4×C11—416no—
169C22×C4×C11C2×D414yes—
170C22×C4×C11C2414yes—
171C22×C4×C11C2414yes—
172C22×C4×C11C2412yes—
173C2×C22⋊D11—216no—
174C2×C22⋊D11—216no—
175C2×C22⋊D11—48no—
176C2×C22⋊D11—432no—
177C22×Dic11—28no—
178C22×Dic11—22no—
179C22×Dic11—22no—
180C22×Dic11—24no—
181C22×Dic11—24no—
182C22×Dic11—24no—
183C22×Dic11—24no—
184C22×Dic11—24no—
185C22×Dic11—24no—
186C22×Dic11—24no—
187C22×Dic11—416no—
188C22×Dic11—48no—
189C22×Dic11—48no—
190C22×Dic11—416no—
191C22×Dic11C2×D414yes—
192C22×Dic11C2×D414yes—
193C22×Dic11C2×D4116yescomplemented
194C22×Dic11C2414yes—
195C22×Dic11C2412yes—
196C22×Dic11C2412yes—
197C22×Dic11C2412yes—
198C22×Dic11C2412yes—
199C11×C4⋊C4—216no—
200C11×C22⋊C4—28no—
201C11×C22⋊C4—216no—
202C22⋊Dic11—28no—
203C22⋊Dic11—28no—
204C22⋊Dic11—28no—
205(C2×D11)⋊C4—216no—
206(C2×D11)⋊C4—216no—
207(C2×D11)⋊C4—216no—
208(C2×D11)⋊C4—216no—
209(C2×D11)⋊C4—48no—
210C4⋊Dic11—28no—
211Dic11⋊C4—48no—
212C4×Dic11—28no—
213C22×#123D1111yescharacteristic, complemented
214C22×#120—111no—
215C22×C4×D4—111no—
216C23×C22⋊C4—111no—
217#2534—1116no—
218C2×#396—112no—
219C2×#394—112no—
220C2×#388—112no—
221C2×#386—112no—
222C2×#381—111no—
223C2×#380—111no—
224C2×#379—111no—
225C23×C11—28no—
226C23×C11—28no—
227C23×C11—216no—
228C23×C11—216no—
229C23×C11—24no—
230C23×C11—24no—
231C23×C11—28no—
232C23×C11—216no—
233C23×C11—22no—
234C23×C11—24no—
235C23×C11—22no—
236C23×C11—24no—
237C23×C11—44no—
238C23×C11—44no—
239C23×C11—48no—
240C23×C11#121116yes—
241C23×C11C22×D414yes—
242C23×C11C22×D412yes—
243C23×C11C22×D414yes—
244C23×C11C22×D414yes—
245C23×C11C22×D412yes—
246C23×C11C2×#4114yes—
247C23×C11C2×#4112yes—
248C23×C11C2×#4114yes—
249C23×C11H(5,𝔽2)14yes—
250C23×C11C2511yescharacteristic
251C22×D11—232no—
252C22×D11—216no—
253C22×D11—216no—
254C22×D11—216no—
255C22×D11—24no—
256C22×D11—24no—
257C22×D11—24no—
258C22×D11—24no—
259C22×D11—24no—
260C22×D11—24no—
261C22×D11—432no—
262C22×D11—432no—
263C22×D11—416no—
264C22×D11—4128no—
265C22×D11—416no—
266C22×D11—48no—
267C22×D11—48no—
268C22×D11—48no—
269C22×D11—48no—
270C22×D11C2×#4118yes—
271D4×C11—232no—
272C2×C4×C11—28no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—24no—
276C2×C4×C11—24no—
277C2×C4×C11—24no—
278C2×C4×C11—24no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—416no—
282C2×C4×C11—48no—
283C2×C4×C11—48no—
284C2×C4×C11C22×D414yes—
285C22⋊D11—432no—
286C2×Dic11—28no—
287C2×Dic11—28no—
288C2×Dic11—24no—
289C2×Dic11—24no—
290C2×Dic11—22no—
291C2×Dic11—22no—
292C2×Dic11—24no—
293C2×Dic11—24no—
294C2×Dic11—24no—
295C2×Dic11—24no—
296C2×Dic11—24no—
297C2×Dic11—416no—
298C2×Dic11—416no—
299C2×Dic11—44no—
300C2×Dic11—44no—
301C2×Dic11—48no—
302C2×Dic11C22×D414yes—
303C2×Dic11C22×D414yes—
304C26—111no—
305C23×D4—112no—
306C23×D4C2×D1111yescharacteristic
307C24×C4—111no—
308C24×C4—111no—
309C24×C4C2×D1111yescharacteristic
310C2×#123—28no—
311C2×#123C2×D1118yescomplemented
312C2×#120—118no—
313C2×#120—228no—
314C2×C4×D4—118no—
315C2×C4×D4—228no—
316C22×C4⋊C4—111no—
317C22×C4⋊C4—112no—
318C22×C4⋊C4C2×D1112yescomplemented
319C22×C22⋊C4—111no—
320C22×C22⋊C4—111no—
321C22×C22⋊C4—111no—
322C22×C22⋊C4—112no—
323C22×C22⋊C4—112no—
324C22×C22⋊C4—112no—
325C22×C22⋊C4—112no—
326C22×C22⋊C4—118no—
327C22×C22⋊C4—112no—
328C22×C22⋊C4—228no—
329C22×C22⋊C4C2×D1111yescharacteristic
330C22×C22⋊C4C2×D1112yescomplemented
331C22×C42—111no—
332#396—1116no—
333#394—1116no—
334#388—1116no—
335#386—1116no—
336#381—118no—
337#380—118no—
338#379—118no—
339C2×#95—112no—
340C2×#95—112no—
341C2×#95—112no—
342C22×C11—24no—
343C22×C11—24no—
344C22×C11—28no—
345C22×C11—28no—
346C22×C11—232no—
347C22×C11—24no—
348C22×C11—28no—
349C22×C11—42no—
350C22×C11—42no—
351C22×C11—44no—
352C22×C11—416no—
353C22×C11C2×#12118yes—
354C22×C11C2×#12114yes—
355C22×C11#52514yes—
356C22×C11#53414yes—
357C22×C11#54618yes—
358C22×C11#55118yes—
359C22×C11C23×D411yescharacteristic
360C22×C11C23×D411yescharacteristic
361C22×C11C22×#4111yescharacteristic
362C22×C11C22×#4112yes—
363C22×C11C2×H(5,𝔽2)12yes—
364C2×D11—28no—
365C2×D11—28no—
366C2×D11—28no—
367C2×D11—464no—
368C2×D11—44no—
369C2×D11—44no—
370C2×D11—44no—
371C2×D11—44no—
372C2×D11—432no—
373C4×C11—24no—
374C4×C11—44no—
375C4×C11—44no—
376Dic11—24no—
377Dic11—24no—
378Dic11—42no—
379Dic11—42no—
380Dic11—44no—
381C25—112no—
382C25—114no—
383C25—228no—
384C25—224no—
385C25—224no—
386C25—224no—
387C25—444no—
388C25C22×D1111yescharacteristic
389C25C22×D1111yescharacteristic
390C22×D4—24no—
391C22×D4—24no—
392C22×D4—118no—
393C22×D4—228no—
394C22×D4—228no—
395C22×D4—444no—
396C22×D4C22⋊D1118yes—
397C22×D4C22×D1114yes—
398C23×C4—24no—
399C23×C4—24no—
400C23×C4—24no—
401C23×C4—111no—
402C23×C4—111no—
403C23×C4—118no—
404C23×C4—114no—
405C23×C4—111no—
406C23×C4—111no—
407C23×C4—112no—
408C23×C4—114no—
409C23×C4—224no—
410C23×C4—444no—
411C23×C4—444no—
412C23×C4C22×D1114yes—
413C23×C4C22×D1112yes—
414C23×C4C22×D1112yes—
415C23×C4C22×D1111yescharacteristic
416#123—232no—
417#120—2232no—
418C4×D4—2232no—
419C2×C4⋊C4—28no—
420C2×C4⋊C4—114no—
421C2×C4⋊C4—118no—
422C2×C4⋊C4—224no—
423C2×C4⋊C4—444no—
424C2×C4⋊C4C22×D1118yescomplemented
425C2×C22⋊C4—24no—
426C2×C22⋊C4—28no—
427C2×C22⋊C4—114no—
428C2×C22⋊C4—114no—
429C2×C22⋊C4—114no—
430C2×C22⋊C4—118no—
431C2×C22⋊C4—118no—
432C2×C22⋊C4—118no—
433C2×C22⋊C4—118no—
434C2×C22⋊C4—118no—
435C2×C22⋊C4—228no—
436C2×C22⋊C4—228no—
437C2×C22⋊C4—2232no—
438C2×C22⋊C4—228no—
439C2×C22⋊C4—224no—
440C2×C22⋊C4—224no—
441C2×C22⋊C4—224no—
442C2×C22⋊C4—228no—
443C2×C22⋊C4—444no—
444C2×C22⋊C4C22×D1114yes—
445C2×C22⋊C4C22×D1118yescomplemented
446C2×C42—114no—
447C2×C42—224no—
448#95—118no—
449#95—118no—
450#95—118no—
451C2×C11—28no—
452C2×C11—44no—
453C2×C11#253418yescomplemented
454C2×C11C22×#12111yescharacteristic
455C2×C11C2×#52511yescharacteristic
456C2×C11C2×#53411yescharacteristic
457C2×C11C2×#54612yes—
458C2×C11C2×#55112yes—
459D11—48no—
460C24—24no—
461C24—24no—
462C24—22no—
463C24—22no—
464C24—24no—
465C24—24no—
466C24—118no—
467C24—114no—
468C24—2216no—
469C24—2232no—
470C24—228no—
471C24—224no—
472C24—224no—
473C24—224no—
474C24—224no—
475C24—224no—
476C24—224no—
477C24—228no—
478C24—228no—
479C24—448no—
480C24—4432no—
481C24—4432no—
482C24—4416no—
483C24—4416no—
484C24D4×D1114yes—
485C24#434114yes—
486C24C2×C22⋊D1114yes—
487C24C2×C22⋊D1114yes—
488C24C23×D1112yes—
489C24C23×D1112yes—
490C24C23×D1111yescharacteristic
491C2×D4—232no—
492C2×D4—28no—
493C2×D4—28no—
494C2×D4—2216no—
495C2×D4—2216no—
496C2×D4—448no—
497C2×D4—4432no—
498C2×D4C2×C22⋊D11116yes—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—28no—
502C22×C4—24no—
503C22×C4—28no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—28no—
510C22×C4—416no—
511C22×C4—114no—
512C22×C4—114no—
513C22×C4—112no—
514C22×C4—112no—
515C22×C4—1116no—
516C22×C4—114no—
517C22×C4—112no—
518C22×C4—112no—
519C22×C4—228no—
520C22×C4—224no—
521C22×C4—224no—
522C22×C4—222no—
523C22×C4—222no—
524C22×C4—224no—
525C22×C4—224no—
526C22×C4—224no—
527C22×C4—224no—
528C22×C4—224no—
529C22×C4—4416no—
530C22×C4—448no—
531C22×C4—448no—
532C22×C4—4416no—
533C22×C4C2×C22⋊D1114yes—
534C22×C4C23×D1114yes—
535C22×C4C23×D1114yes—
536C22×C4C23×D1112yes—
537C4⋊C4—216no—
538C4⋊C4—228no—
539C4⋊C4—448no—
540C22⋊C4—28no—
541C22⋊C4—216no—
542C22⋊C4—2216no—
543C22⋊C4—2216no—
544C22⋊C4—2216no—
545C22⋊C4—228no—
546C22⋊C4—228no—
547C22⋊C4—228no—
548C22⋊C4—2216no—
549C22⋊C4—448no—
550C42—228no—
551C11C2×#253411yescharacteristic, complemented, Sylow
552C23—216no—
553C23—28no—
554C23—28no—
555C23—216no—
556C23—24no—
557C23—24no—
558C23—28no—
559C23—216no—
560C23—22no—
561C23—22no—
562C23—24no—
563C23—24no—
564C23—44no—
565C23—44no—
566C23—48no—
567C23—118no—
568C23—2232no—
569C23—2216no—
570C23—2216no—
571C23—224no—
572C23—2216no—
573C23—224no—
574C23—224no—
575C23—224no—
576C23—224no—
577C23—224no—
578C23—4432no—
579C23—4432no—
580C23—4416no—
581C23—44128no—
582C23—4416no—
583C23—448no—
584C23—448no—
585C23—448no—
586C23—448no—
587C23#66992116yes—
588C23C2×D4×D1114yes—
589C23C2×D4×D1112yes—
590C23C2×#434114yes—
591C23C2×#434112yes—
592C23#41×D1114yes—
593C23#6704214yes—
594C23C22×C22⋊D1114yes—
595C23C22×C22⋊D1114yes—
596C23C22×C22⋊D1112yes—
597C23C24×D1111yescharacteristic
598D4—232no—
599D4—4432no—
600C2×C4—28no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—416no—
610C2×C4—48no—
611C2×C4—48no—
612C2×C4—114no—
613C2×C4—114no—
614C2×C4—228no—
615C2×C4—228no—
616C2×C4—224no—
617C2×C4—224no—
618C2×C4—222no—
619C2×C4—222no—
620C2×C4—224no—
621C2×C4—224no—
622C2×C4—224no—
623C2×C4—224no—
624C2×C4—224no—
625C2×C4—4416no—
626C2×C4—4416no—
627C2×C4—448no—
628C2×C4—444no—
629C2×C4—444no—
630C2×C4C22×C22⋊D1114yes—
631C22—24no—
632C22—232no—
633C22—28no—
634C22—28no—
635C22—24no—
636C22—28no—
637C22—24no—
638C22—42no—
639C22—416no—
640C22—44no—
641C22—42no—
642C22—228no—
643C22—228no—
644C22—228no—
645C22—4464no—
646C22—444no—
647C22—4432no—
648C22—444no—
649C22—444no—
650C22—444no—
651C22#1062318414yes—
652C22#1062318714yes—
653C22#1062318918yes—
654C22C2×#6699218yes—
655C22C2×#6699214yes—
656C22#1062336018yes—
657C22C22×D4×D1111yescharacteristic
658C22C22×#434111yescharacteristic
659C22C2×#41×D1112yes—
660C22C2×#6704212yes—
661C22C23×C22⋊D1111yescharacteristic
662C4—24no—
663C4—44no—
664C4—44no—
665C4—224no—
666C4—224no—
667C4—442no—
668C4—444no—
669C4—442no—
670C2—28no—
671C2—44no—
672C2—448no—
673C2#1307350518yesdirect product factor
674C2C22×#6699211yescharacteristic
675C2C2×#1062318711yescharacteristic
676C2C2×#1062318411yescharacteristic
677C2C2×#1062336012yes—
678C2C2×#1062318912yes—
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC22×C11×#123C2
socleC24×C11C24
prime radicalC22×#66990C2
hypercenterC22×#123D11
hypocenterC11C2×#2534
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×#123

Complements

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

NH ≅ G/Ntype
2. C22×D4×Dic11C2semidirect
3. C23×(C2×D11)⋊C4C2semidirect
4. #13073505C2direct (N × H)
5. C2×#10622607C2semidirect
6. C2×#10622572C2semidirect
7. C2×#10622603C2semidirect
8. C2×#10622571C2semidirect
9. C2×#10622824C2semidirect
10. C2×#10622555C2semidirect
11. C2×#10622568C2semidirect
12. C22×C11×#123C2semidirect
18. C24×Dic11C22semidirect
20. C2×C11×#123C22semidirect
21. C22×C11×C4⋊C4C22semidirect
23. C22×C11×C22⋊C4C22semidirect
26. C22×C22⋊Dic11C22semidirect
30. C2×D4×Dic11C22semidirect
37. C22×(C2×D11)⋊C4C22semidirect
38. C22×C4⋊Dic11C22semidirect
39. C22×Dic11⋊C4C22semidirect
40. C22×C4×Dic11C22semidirect
41. #10622824C22semidirect
42. C2×C11⋊#95C22semidirect
43. C2×C11⋊#95C22semidirect
44. C2×C11⋊#95C22semidirect
45. #10622607C22semidirect
46. #10622603C22semidirect
47. #10622572C22semidirect
48. #10622571C22semidirect
49. #10622568C22semidirect
50. #10622555C22semidirect
78. C23×Dic11D4semidirect
85. C23×Dic11C23semidirect
88. C2×C11×C4⋊C4C23semidirect
92. C2×C11×C22⋊C4C23semidirect
98. C2×C22⋊Dic11C23semidirect
113. C2×C4⋊Dic11C23semidirect
115. C2×Dic11⋊C4C23semidirect
117. C2×C4×Dic11C23semidirect
118. C11⋊#95C23semidirect
119. C11⋊#95C23semidirect
120. C11⋊#95C23semidirect
193. C22×Dic11C2×D4semidirect
213. C22×#123D11semidirect
311. C2×#123C2×D11semidirect
318. C22×C4⋊C4C2×D11semidirect
330. C22×C22⋊C4C2×D11semidirect
424. C2×C4⋊C4C22×D11semidirect
445. C2×C22⋊C4C22×D11semidirect
453. C2×C11#2534semidirect
551. C11C2×#2534semidirect
673. C2#13073505direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669902
C22×D4×Dic112
C23×(C2×D11)⋊C42
#130735052
C2×#106226072
C2×#106225722
C2×#106226032
C2×#106225712
C2×#106228242
C2×#106225552
C2×#106225682
C22×C11×#1232
C2×#253411