Finite Group Databasebeta

← C2×#13074354 #14920107

Subgroups — C2×#13074354 #14920107

Order 2816.

5222 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66992C211yesmaximal, characteristic, complemented
2C22×#67006C211yesmaximal, characteristic, complemented
3C23×C22⋊Dic11C211yesmaximal, characteristic, complemented
4#13074354C2116yesmaximal, direct product factor
5C2×#10622565C212yesmaximal, complemented
6C2×#10622572C212yesmaximal, complemented
7C2×#10622835C212yesmaximal, complemented
8C2×#10622836C212yesmaximal, complemented
9C2×#10622833C211yesmaximal, characteristic, complemented
10C2×#10622571C211yesmaximal, characteristic, complemented
11C2×#10622555C211yesmaximal, characteristic, complemented
12C22×C11×#120C211yesmaximal, characteristic, complemented
13C26×C11C2211yescharacteristic
14C23×D4×C11C2211yescharacteristic
15C23×D4×C11C2212yes—
16C23×C22⋊D11C2211yescharacteristic
17C23×C22⋊D11C2212yes—
18C23×C22⋊D11C2211yescharacteristic, complemented
19C24×Dic11C2211yescharacteristic
20C24×Dic11C2211yescharacteristic
21C2×C11×#120—28no—
22C2×C11×#120C2218yescomplemented
23C22×C11×C22⋊C4C2211yescharacteristic
24C22×C11×C22⋊C4C2212yes—
25C2×#67006—28no—
26C2×#67006C2218yescomplemented
27C22×C22⋊Dic11—28no—
28C22×C22⋊Dic11C2211yescharacteristic
29C22×C22⋊Dic11C2212yes—
30C22×C22⋊Dic11C2212yes—
31C22×C22⋊Dic11C2212yes—
32C22×C22⋊Dic11C2218yescomplemented
33C22×C22⋊Dic11C2211yescharacteristic, complemented
34C22×C22⋊Dic11C2212yescomplemented
35C2×#66992—28no—
36C2×#66992C2218yescomplemented
37C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
38C22×(C2×D11)⋊C4C2212yescomplemented
39C22×Dic11⋊C4C2211yescharacteristic, complemented
40C22×Dic11⋊C4C2212yescomplemented
41#10622836C22116yescomplemented
42#10622835C22116yescomplemented
43#10622833C2218yescomplemented
44C2×C11⋊#95C2212yescomplemented
45C2×C11⋊#95C2212yescomplemented
46C2×C11⋊#95C2212yescomplemented
47#10622572C22116yescomplemented
48#10622571C2218yescomplemented
49#10622565C22116yescomplemented
50#10622555C2218yescomplemented
51C25×C11—24no—
52C25×C11—24no—
53C25×C11—44no—
54C25×C11—44no—
55C25×C11D418yescomplemented
56C25×C11C2311yescharacteristic
57C25×C11C2312yes—
58C25×C11C2311yescharacteristic
59C25×C11C2314yes—
60C24×D11C2311yescharacteristic
61C22×D4×C11—24no—
62C22×D4×C11—28no—
63C22×D4×C11—24no—
64C22×D4×C11—24no—
65C22×D4×C11—44no—
66C22×D4×C11—44no—
67C22×D4×C11C2314yes—
68C22×D4×C11C2318yes—
69C23×C4×C11C2311yescharacteristic
70C23×C4×C11C2312yes—
71C22×C22⋊D11—24no—
72C22×C22⋊D11—28no—
73C22×C22⋊D11—24no—
74C22×C22⋊D11—24no—
75C22×C22⋊D11—24no—
76C22×C22⋊D11—44no—
77C22×C22⋊D11—44no—
78C22×C22⋊D11—44no—
79C22×C22⋊D11C2314yes—
80C22×C22⋊D11C2318yes—
81C22×C22⋊D11C2314yescomplemented
82C23×Dic11—24no—
83C23×Dic11—44no—
84C23×Dic11—44no—
85C23×Dic11D418yescomplemented
86C23×Dic11C2311yescharacteristic
87C23×Dic11C2312yes—
88C23×Dic11C2312yes—
89C23×Dic11C2311yescharacteristic
90C23×Dic11C2311yescharacteristic
91C23×Dic11C2314yes—
92C23×Dic11C2314yes—
93C11×#120—232no—
94C2×C11×C22⋊C4—28no—
95C2×C11×C22⋊C4—24no—
96C2×C11×C22⋊C4C2314yes—
97C2×C11×C22⋊C4C2318yes—
98#67006—232no—
99C2×C22⋊Dic11—28no—
100C2×C22⋊Dic11—24no—
101C2×C22⋊Dic11—24no—
102C2×C22⋊Dic11—28no—
103C2×C22⋊Dic11—28no—
104C2×C22⋊Dic11—232no—
105C2×C22⋊Dic11—44no—
106C2×C22⋊Dic11C2314yes—
107C2×C22⋊Dic11C2318yes—
108C2×C22⋊Dic11C2318yes—
109C2×C22⋊Dic11C2318yes—
110C2×C22⋊Dic11C2314yescomplemented
111C2×C22⋊Dic11C2318yescomplemented
112#66992—232no—
113C2×(C2×D11)⋊C4—24no—
114C2×(C2×D11)⋊C4—44no—
115C2×(C2×D11)⋊C4C2314yescomplemented
116C2×(C2×D11)⋊C4C2318yescomplemented
117C2×Dic11⋊C4—24no—
118C2×Dic11⋊C4—44no—
119C2×Dic11⋊C4C2314yescomplemented
120C2×Dic11⋊C4C2318yescomplemented
121C11⋊#95C2318yescomplemented
122C11⋊#95C2318yescomplemented
123C11⋊#95C2318yescomplemented
124C2×#2617—111nomaximal, Sylow
125C24×C11—24no—
126C24×C11—24no—
127C24×C11—232no—
128C24×C11—24no—
129C24×C11—28no—
130C24×C11—24no—
131C24×C11—28no—
132C24×C11—24no—
133C24×C11—24no—
134C24×C11—24no—
135C24×C11—24no—
136C24×C11—22no—
137C24×C11—22no—
138C24×C11—22no—
139C24×C11—24no—
140C24×C11—24no—
141C24×C11—432no—
142C24×C11—48no—
143C24×C11—48no—
144C24×C11—416no—
145C24×C11—416no—
146C24×C11—432no—
147C24×C11C2×D418yes—
148C24×C11C2×D414yes—
149C24×C11C2×D414yes—
150C24×C11C2×D4116yescomplemented
151C24×C11#4114yes—
152C24×C11C2412yes—
153C24×C11C2414yes—
154C24×C11C2412yes—
155C24×C11C2411yescharacteristic
156C23×D11—22no—
157C23×D11—22no—
158C23×D11—22no—
159C23×D11—24no—
160C23×D11—24no—
161C23×D11C2412yes—
162C2×D4×C11—28no—
163C2×D4×C11—216no—
164C2×D4×C11—28no—
165C2×D4×C11—28no—
166C2×D4×C11—48no—
167C2×D4×C11—48no—
168C2×D4×C11—432no—
169C2×D4×C11—416no—
170C22×C4×C11—22no—
171C22×C4×C11—22no—
172C22×C4×C11—24no—
173C22×C4×C11—22no—
174C22×C4×C11—24no—
175C22×C4×C11—24no—
176C22×C4×C11C2412yes—
177C22×C4×C11C2414yes—
178C2×C22⋊D11—28no—
179C2×C22⋊D11—28no—
180C2×C22⋊D11—216no—
181C2×C22⋊D11—28no—
182C2×C22⋊D11—28no—
183C2×C22⋊D11—48no—
184C2×C22⋊D11—48no—
185C2×C22⋊D11—48no—
186C2×C22⋊D11—432no—
187C2×C22⋊D11—416no—
188C2×C22⋊D11—416no—
189C22×Dic11—22no—
190C22×Dic11—28no—
191C22×Dic11—24no—
192C22×Dic11—22no—
193C22×Dic11—24no—
194C22×Dic11—22no—
195C22×Dic11—24no—
196C22×Dic11—24no—
197C22×Dic11—24no—
198C22×Dic11—24no—
199C22×Dic11—24no—
200C22×Dic11—24no—
201C22×Dic11—416no—
202C22×Dic11—48no—
203C22×Dic11—48no—
204C22×Dic11—416no—
205C22×Dic11C2×D414yes—
206C22×Dic11C2×D414yes—
207C22×Dic11C2×D4116yescomplemented
208C22×Dic11C2412yes—
209C22×Dic11C2414yes—
210C22×Dic11C2414yes—
211C22×Dic11C2412yes—
212C22×Dic11C2412yes—
213C11×C22⋊C4—216no—
214C11×C22⋊C4—28no—
215C22⋊Dic11—28no—
216C22⋊Dic11—216no—
217C22⋊Dic11—216no—
218C22⋊Dic11—216no—
219C22⋊Dic11—28no—
220C22⋊Dic11—48no—
221(C2×D11)⋊C4—28no—
222(C2×D11)⋊C4—48no—
223Dic11⋊C4—28no—
224Dic11⋊C4—48no—
225C22×#121—111no—
226C22×#120—111no—
227C22×#120D1111yescharacteristic, complemented
228C23×C22⋊C4—111no—
229#2617—1116no—
230C2×#397—112no—
231C2×#394—112no—
232C2×#394—112no—
233C2×#392—112no—
234C2×#386—111no—
235C2×#386—111no—
236C2×#380—111no—
237C23×C11—28no—
238C23×C11—216no—
239C23×C11—28no—
240C23×C11—216no—
241C23×C11—24no—
242C23×C11—24no—
243C23×C11—216no—
244C23×C11—232no—
245C23×C11—216no—
246C23×C11—216no—
247C23×C11—24no—
248C23×C11—24no—
249C23×C11—24no—
250C23×C11—24no—
251C23×C11—24no—
252C23×C11—24no—
253C23×C11—22no—
254C23×C11—22no—
255C23×C11—22no—
256C23×C11—24no—
257C23×C11—24no—
258C23×C11—432no—
259C23×C11—4128no—
260C23×C11—416no—
261C23×C11—416no—
262C23×C11—432no—
263C23×C11—48no—
264C23×C11—48no—
265C23×C11—48no—
266C23×C11—48no—
267C23×C11—44no—
268C23×C11—44no—
269C23×C11—48no—
270C23×C11—44no—
271C23×C11—48no—
272C23×C11#121116yes—
273C23×C11C22×D414yes—
274C23×C11C22×D412yes—
275C23×C11C22×D418yes—
276C23×C11C22×D414yes—
277C23×C11C22×D412yes—
278C23×C11C2×#4114yes—
279C23×C11C2×#4112yes—
280C23×C11H(5,𝔽2)14yes—
281C23×C11H(5,𝔽2)14yes—
282C23×C11C2511yescharacteristic
283C22×D11—22no—
284C22×D11—22no—
285C22×D11—22no—
286C22×D11—24no—
287C22×D11—24no—
288C22×D11—44no—
289C22×D11—48no—
290C22×D11—44no—
291C22×D11—44no—
292C22×D11—48no—
293D4×C11—432no—
294D4×C11—416no—
295C2×C4×C11—22no—
296C2×C4×C11—22no—
297C2×C4×C11—24no—
298C2×C4×C11—22no—
299C2×C4×C11—24no—
300C2×C4×C11—24no—
301C2×C4×C11—44no—
302C2×C4×C11—48no—
303C22⋊D11—416no—
304C22⋊D11—432no—
305C22⋊D11—416no—
306C2×Dic11—28no—
307C2×Dic11—28no—
308C2×Dic11—24no—
309C2×Dic11—24no—
310C2×Dic11—22no—
311C2×Dic11—24no—
312C2×Dic11—22no—
313C2×Dic11—24no—
314C2×Dic11—22no—
315C2×Dic11—24no—
316C2×Dic11—24no—
317C2×Dic11—24no—
318C2×Dic11—24no—
319C2×Dic11—416no—
320C2×Dic11—416no—
321C2×Dic11—44no—
322C2×Dic11—48no—
323C2×Dic11—48no—
324C2×Dic11C22×D414yes—
325C2×Dic11C22×D414yes—
326C26C2×D1111yescharacteristic
327C23×D4—111no—
328C23×D4—111no—
329C23×D4—112no—
330C23×D4C2×D1111yescharacteristic
331C23×D4C2×D1112yes—
332C24×C4—111no—
333C24×C4—111no—
334C2×#121—118no—
335C2×#121—228no—
336C2×#120—28no—
337C2×#120—118no—
338C2×#120—228no—
339C2×#120C2×D1118yescomplemented
340C22×C4⋊C4—111no—
341C22×C4⋊C4—112no—
342C22×C22⋊C4—118no—
343C22×C22⋊C4—112no—
344C22×C22⋊C4—112no—
345C22×C22⋊C4—111no—
346C22×C22⋊C4—112no—
347C22×C22⋊C4—111no—
348C22×C22⋊C4—111no—
349C22×C22⋊C4—112no—
350C22×C22⋊C4—112no—
351C22×C22⋊C4—228no—
352C22×C22⋊C4C2×D1112yes—
353C22×C22⋊C4C2×D1111yescharacteristic
354#397—1116no—
355#394—1116no—
356#394—1116no—
357#392—1116no—
358#386—118no—
359#386—118no—
360#380—118no—
361C2×#95—112no—
362C2×#95—112no—
363C2×#95—112no—
364C22×C11—232no—
365C22×C11—28no—
366C22×C11—24no—
367C22×C11—24no—
368C22×C11—28no—
369C22×C11—28no—
370C22×C11—28no—
371C22×C11—28no—
372C22×C11—464no—
373C22×C11—432no—
374C22×C11—44no—
375C22×C11—44no—
376C22×C11—44no—
377C22×C11—44no—
378C22×C11—42no—
379C22×C11—44no—
380C22×C11—42no—
381C22×C11—42no—
382C22×C11—44no—
383C22×C11—88no—
384C22×C11C2×#12118yes—
385C22×C11C2×#12114yes—
386C22×C11#53418yes—
387C22×C11#53414yes—
388C22×C11#53514yes—
389C22×C11#53818yes—
390C22×C11C23×D411yescharacteristic
391C22×C11C23×D411yescharacteristic
392C22×C11C22×#4111yescharacteristic
393C22×C11C2×H(5,𝔽2)12yes—
394C22×C11C2×H(5,𝔽2)12yes—
395C2×D11—42no—
396C2×D11—44no—
397C2×D11—42no—
398C2×D11—42no—
399C2×D11—44no—
400C2×D11—88no—
401C4×C11—42no—
402C4×C11—44no—
403Dic11—24no—
404Dic11—24no—
405Dic11—42no—
406Dic11—44no—
407Dic11—44no—
408C25—24no—
409C25—24no—
410C25—44no—
411C25—44no—
412C25—111no—
413C25C22⋊D1118yescomplemented
414C25C22×D1111yescharacteristic
415C25C22×D1112yes—
416C25C22×D1111yescharacteristic
417C25C22×D1114yes—
418C22×D4—24no—
419C22×D4—24no—
420C22×D4—28no—
421C22×D4—24no—
422C22×D4—44no—
423C22×D4—44no—
424C22×D4—114no—
425C22×D4—118no—
426C22×D4—114no—
427C22×D4—224no—
428C22×D4—224no—
429C22×D4—224no—
430C22×D4—228no—
431C22×D4—224no—
432C22×D4—444no—
433C22×D4—444no—
434C22×D4—444no—
435C22×D4C22×D1114yes—
436C22×D4C22×D1118yes—
437C23×C4—111no—
438C23×C4—111no—
439C23×C4—118no—
440C23×C4—114no—
441C23×C4—112no—
442C23×C4—111no—
443C23×C4—112no—
444C23×C4—114no—
445C23×C4—224no—
446C23×C4—444no—
447C23×C4—444no—
448C23×C4C22×D1111yescharacteristic
449C23×C4C22×D1112yes—
450#121—2232no—
451#120—232no—
452#120—2232no—
453C2×C4⋊C4—114no—
454C2×C4⋊C4—118no—
455C2×C4⋊C4—224no—
456C2×C4⋊C4—444no—
457C2×C22⋊C4—28no—
458C2×C22⋊C4—24no—
459C2×C22⋊C4—118no—
460C2×C22⋊C4—118no—
461C2×C22⋊C4—114no—
462C2×C22⋊C4—118no—
463C2×C22⋊C4—114no—
464C2×C22⋊C4—114no—
465C2×C22⋊C4—118no—
466C2×C22⋊C4—118no—
467C2×C22⋊C4—224no—
468C2×C22⋊C4—228no—
469C2×C22⋊C4—228no—
470C2×C22⋊C4—2232no—
471C2×C22⋊C4—224no—
472C2×C22⋊C4—228no—
473C2×C22⋊C4—224no—
474C2×C22⋊C4—444no—
475C2×C22⋊C4—444no—
476C2×C22⋊C4C22×D1114yes—
477C2×C22⋊C4C22×D1118yes—
478#95—118no—
479#95—118no—
480#95—118no—
481C2×C11—28no—
482C2×C11—48no—
483C2×C11—82no—
484C2×C11#261718yescomplemented
485C2×C11C22×#12111yescharacteristic
486C2×C11C2×#53412yes—
487C2×C11C2×#53411yescharacteristic
488C2×C11C2×#53511yescharacteristic
489C2×C11C2×#53812yes—
490D11—82no—
491C24—24no—
492C24—24no—
493C24—232no—
494C24—24no—
495C24—28no—
496C24—24no—
497C24—28no—
498C24—24no—
499C24—24no—
500C24—24no—
501C24—24no—
502C24—22no—
503C24—22no—
504C24—24no—
505C24—24no—
506C24—22no—
507C24—48no—
508C24—48no—
509C24—432no—
510C24—416no—
511C24—416no—
512C24—432no—
513C24—112no—
514C24—222no—
515C24—222no—
516C24—224no—
517C24—224no—
518C24—222no—
519C24D4×D1114yes—
520C24#434114yes—
521C24C2×C22⋊D1118yes—
522C24C2×C22⋊D1114yes—
523C24C2×C22⋊D11116yescomplemented
524C24C23×D1112yes—
525C24C23×D1114yes—
526C24C23×D1112yes—
527C24C23×D1111yescharacteristic
528C2×D4—28no—
529C2×D4—28no—
530C2×D4—216no—
531C2×D4—28no—
532C2×D4—48no—
533C2×D4—48no—
534C2×D4—432no—
535C2×D4—416no—
536C2×D4—228no—
537C2×D4—228no—
538C2×D4—228no—
539C2×D4—2216no—
540C2×D4—228no—
541C2×D4—448no—
542C2×D4—448no—
543C2×D4—448no—
544C2×D4—4416no—
545C2×D4—4432no—
546C2×D4—4416no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—24no—
550C22×C4—24no—
551C22×C4—22no—
552C22×C4—24no—
553C22×C4—114no—
554C22×C4—114no—
555C22×C4—112no—
556C22×C4—112no—
557C22×C4—1116no—
558C22×C4—114no—
559C22×C4—112no—
560C22×C4—114no—
561C22×C4—224no—
562C22×C4—224no—
563C22×C4—228no—
564C22×C4—224no—
565C22×C4—222no—
566C22×C4—222no—
567C22×C4—224no—
568C22×C4—224no—
569C22×C4—224no—
570C22×C4—224no—
571C22×C4—222no—
572C22×C4—224no—
573C22×C4—4416no—
574C22×C4—448no—
575C22×C4—448no—
576C22×C4—4416no—
577C22×C4C23×D1112yes—
578C22×C4C23×D1114yes—
579C4⋊C4—228no—
580C4⋊C4—448no—
581C22⋊C4—216no—
582C22⋊C4—28no—
583C22⋊C4—228no—
584C22⋊C4—2216no—
585C22⋊C4—2216no—
586C22⋊C4—228no—
587C22⋊C4—2216no—
588C22⋊C4—228no—
589C22⋊C4—448no—
590C22⋊C4—448no—
591C11C2×#261711yescharacteristic, complemented, Sylow
592C23—216no—
593C23—28no—
594C23—28no—
595C23—216no—
596C23—24no—
597C23—24no—
598C23—216no—
599C23—232no—
600C23—216no—
601C23—216no—
602C23—24no—
603C23—24no—
604C23—24no—
605C23—24no—
606C23—24no—
607C23—24no—
608C23—22no—
609C23—22no—
610C23—24no—
611C23—24no—
612C23—22no—
613C23—432no—
614C23—416no—
615C23—416no—
616C23—432no—
617C23—4128no—
618C23—48no—
619C23—48no—
620C23—48no—
621C23—48no—
622C23—44no—
623C23—48no—
624C23—44no—
625C23—44no—
626C23—48no—
627C23—222no—
628C23—222no—
629C23—224no—
630C23—224no—
631C23—222no—
632C23—444no—
633C23—448no—
634C23—444no—
635C23—444no—
636C23—448no—
637C23#66992116yes—
638C23C2×D4×D1114yes—
639C23C2×D4×D1112yes—
640C23C2×#434114yes—
641C23C2×#434112yes—
642C23#6703714yes—
643C23#6703714yes—
644C23C22×C22⋊D1118yes—
645C23C22×C22⋊D1114yes—
646C23C22×C22⋊D1112yes—
647C23C24×D1111yescharacteristic
648D4—432no—
649D4—416no—
650D4—4416no—
651D4—4432no—
652D4—4416no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—44no—
660C2×C4—48no—
661C2×C4—114no—
662C2×C4—114no—
663C2×C4—228no—
664C2×C4—228no—
665C2×C4—224no—
666C2×C4—224no—
667C2×C4—224no—
668C2×C4—222no—
669C2×C4—222no—
670C2×C4—224no—
671C2×C4—224no—
672C2×C4—224no—
673C2×C4—224no—
674C2×C4—224no—
675C2×C4—222no—
676C2×C4—4416no—
677C2×C4—4416no—
678C2×C4—444no—
679C2×C4—448no—
680C2×C4—448no—
681C22—28no—
682C22—24no—
683C22—24no—
684C22—28no—
685C22—232no—
686C22—28no—
687C22—28no—
688C22—28no—
689C22—464no—
690C22—44no—
691C22—44no—
692C22—44no—
693C22—44no—
694C22—432no—
695C22—44no—
696C22—42no—
697C22—42no—
698C22—44no—
699C22—42no—
700C22—88no—
701C22—444no—
702C22—442no—
703C22—442no—
704C22—444no—
705C22—442no—
706C22—888no—
707C22#1062312014yes—
708C22#1062312314yes—
709C22#1062312418yes—
710C22C2×#6699218yes—
711C22C2×#6699214yes—
712C22#1062333518yes—
713C22C22×D4×D1111yescharacteristic
714C22C22×#434111yescharacteristic
715C22C2×#6703712yes—
716C22C2×#6703712yes—
717C22C23×C22⋊D1111yescharacteristic
718C4—44no—
719C4—42no—
720C4—224no—
721C4—224no—
722C4—444no—
723C4—444no—
724C4—442no—
725C2—28no—
726C2—48no—
727C2—82no—
728C2—882no—
729C2#1307435418yesdirect product factor
730C2C22×#6699211yescharacteristic
731C2C2×#1062333512yes—
732C2C2×#1062312011yescharacteristic
733C2C2×#1062312311yescharacteristic
734C2C2×#1062312412yes—
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC22×C11×#120C2
socleC24×C11C24
hypercenterC22×#120D11
hypocenterC11C2×#2617
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×#120

Complements

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

NH ≅ G/Ntype
1. C22×#66992C2semidirect
2. C22×#67006C2semidirect
3. C23×C22⋊Dic11C2semidirect
4. #13074354C2direct (N × H)
5. C2×#10622565C2semidirect
6. C2×#10622572C2semidirect
7. C2×#10622835C2semidirect
8. C2×#10622836C2semidirect
9. C2×#10622833C2semidirect
10. C2×#10622571C2semidirect
11. C2×#10622555C2semidirect
12. C22×C11×#120C2semidirect
18. C23×C22⋊D11C22semidirect
22. C2×C11×#120C22semidirect
26. C2×#67006C22semidirect
32. C22×C22⋊Dic11C22semidirect
33. C22×C22⋊Dic11C22semidirect
34. C22×C22⋊Dic11C22semidirect
36. C2×#66992C22semidirect
37. C22×(C2×D11)⋊C4C22semidirect
38. C22×(C2×D11)⋊C4C22semidirect
39. C22×Dic11⋊C4C22semidirect
40. C22×Dic11⋊C4C22semidirect
41. #10622836C22semidirect
42. #10622835C22semidirect
43. #10622833C22semidirect
44. C2×C11⋊#95C22semidirect
45. C2×C11⋊#95C22semidirect
46. C2×C11⋊#95C22semidirect
47. #10622572C22semidirect
48. #10622571C22semidirect
49. #10622565C22semidirect
50. #10622555C22semidirect
55. C25×C11D4semidirect
81. C22×C22⋊D11C23semidirect
85. C23×Dic11D4semidirect
110. C2×C22⋊Dic11C23semidirect
111. C2×C22⋊Dic11C23semidirect
115. C2×(C2×D11)⋊C4C23semidirect
116. C2×(C2×D11)⋊C4C23semidirect
119. C2×Dic11⋊C4C23semidirect
120. C2×Dic11⋊C4C23semidirect
121. C11⋊#95C23semidirect
122. C11⋊#95C23semidirect
123. C11⋊#95C23semidirect
150. C24×C11C2×D4semidirect
207. C22×Dic11C2×D4semidirect
227. C22×#120D11semidirect
339. C2×#120C2×D11semidirect
413. C25C22⋊D11semidirect
484. C2×C11#2617semidirect
523. C24C2×C22⋊D11semidirect
591. C11C2×#2617semidirect
729. C2#13074354direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669922
C22×#670062
C23×C22⋊Dic112
#130743542
C2×#106225652
C2×#106225722
C2×#106228352
C2×#106228362
C2×#106228332
C2×#106225712
C2×#106225552
C22×C11×#1202
C2×#261711