Finite Group Databasebeta

← C2×#13073519 #14924925

Subgroups — C2×#13073519 #14924925

Order 2816.

4390 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66948C211yesmaximal, characteristic, complemented
2C22×#66983C211yesmaximal, characteristic, complemented
3C22×#66946C211yesmaximal, characteristic, complemented
4C22×C4×C22⋊D11C211yesmaximal, characteristic, complemented
5#13073519C2116yesmaximal, direct product factor
6C2×#10622288C212yesmaximal, complemented
7C2×#10622573C212yesmaximal, complemented
8C2×#10622278C212yesmaximal, complemented
9C2×#10622569C212yesmaximal, complemented
10C2×#10622590C211yesmaximal, characteristic, complemented
11C2×#10622600C211yesmaximal, characteristic, complemented
12C2×C11×#380C211yesmaximal, characteristic, complemented
13C24×C4×C11C2211yescharacteristic
14C23×C22⋊D11C2211yescharacteristic
15C23×C22⋊D11C2212yes—
16C23×D44C2212yes—
17C23×D44C2211yescharacteristic
18C23×C4×D11C2211yescharacteristic
19C23×C4×D11C2212yes—
20C22×C11×C4⋊C4C2211yescharacteristic
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C11×C22⋊C4C2212yes—
23C22×C22⋊Dic11C2211yescharacteristic
24C2×#66983—28no—
25C2×#66983C2218yescomplemented
26C2×C4×C22⋊D11—28no—
27C2×C4×C22⋊D11C2218yescomplemented
28C22×(C2×D11)⋊C4C2212yes—
29C22×(C2×D11)⋊C4C2211yescharacteristic
30C22×(C2×D11)⋊C4C2212yes—
31C22×(C2×D11)⋊C4C2212yes—
32C22×(C2×D11)⋊C4C2212yes—
33C22×C4⋊Dic11C2211yescharacteristic
34C22×Dic11⋊C4C2211yescharacteristic
35C22×C4×Dic11C2211yescharacteristic
36C2×#66948—28no—
37C2×#66948C2218yescomplemented
38C2×#66946—28no—
39C2×#66946C2218yescomplemented
40C11×#380C2218yescomplemented
41C2×C11×#95C2212yes—
42C2×C11⋊#95C2212yes—
43C2×C11⋊#95C2212yes—
44C2×C11⋊#95C2212yes—
45#10622600C2218yescomplemented
46#10622590C2218yescomplemented
47#10622573C22116yescomplemented
48#10622569C22116yescomplemented
49#10622288C22116yescomplemented
50#10622278C22116yescomplemented
51C25×C11C2311yescharacteristic
52C24×D11C2312yes—
53C24×D11C2311yescharacteristic
54C23×C4×C11—24no—
55C23×C4×C11—24no—
56C23×C4×C11—24no—
57C23×C4×C11C2311yescharacteristic
58C23×C4×C11C2312yes—
59C23×C4×C11C2312yes—
60C23×C4×C11C2314yes—
61C23×C4×C11C2311yescharacteristic
62C22×C22⋊D11—24no—
63C22×C22⋊D11—24no—
64C22×C22⋊D11—28no—
65C22×C22⋊D11—28no—
66C22×C22⋊D11—24no—
67C22×C22⋊D11—44no—
68C22×C22⋊D11C2314yes—
69C22×C22⋊D11C2318yes—
70C23×Dic11C2311yescharacteristic
71C23×Dic11C2312yes—
72C23×Dic11C2311yescharacteristic
73C23×Dic11C2311yescharacteristic
74C22×D44—24no—
75C22×D44—24no—
76C22×D44—28no—
77C22×D44—28no—
78C22×D44—44no—
79C22×D44D418yescomplemented
80C22×D44C2318yes—
81C22×D44C2314yes—
82C22×C4×D11—24no—
83C22×C4×D11—24no—
84C22×C4×D11—24no—
85C22×C4×D11—28no—
86C22×C4×D11—44no—
87C22×C4×D11—44no—
88C22×C4×D11C2314yes—
89C22×C4×D11C2318yes—
90C2×C11×C4⋊C4—24no—
91C2×C11×C4⋊C4—24no—
92C2×C11×C4⋊C4C2314yes—
93C2×C11×C4⋊C4C2314yes—
94C2×C11×C22⋊C4—44no—
95C2×C11×C22⋊C4C2318yes—
96C2×C22⋊Dic11—24no—
97C2×C22⋊Dic11C2314yes—
98#66983—232no—
99C4×C22⋊D11—232no—
100C2×(C2×D11)⋊C4—28no—
101C2×(C2×D11)⋊C4—28no—
102C2×(C2×D11)⋊C4—28no—
103C2×(C2×D11)⋊C4—24no—
104C2×(C2×D11)⋊C4—44no—
105C2×(C2×D11)⋊C4C2318yes—
106C2×(C2×D11)⋊C4C2318yes—
107C2×(C2×D11)⋊C4C2314yes—
108C2×(C2×D11)⋊C4C2318yes—
109C2×(C2×D11)⋊C4C2318yes—
110C2×C4⋊Dic11—24no—
111C2×C4⋊Dic11C2314yes—
112C2×Dic11⋊C4—24no—
113C2×Dic11⋊C4C2314yes—
114C2×C4×Dic11D418yescomplemented
115C2×C4×Dic11C2314yes—
116#66948—232no—
117#66946—232no—
118C11×#95C2318yes—
119C11⋊#95C2318yes—
120C11⋊#95C2318yes—
121C11⋊#95C2318yes—
122C2×#2535—111nomaximal, Sylow
123C24×C11—22no—
124C24×C11—22no—
125C24×C11—22no—
126C24×C11—22no—
127C24×C11—22no—
128C24×C11—22no—
129C24×C11#4114yes—
130C24×C11C2412yes—
131C24×C11C2411yescharacteristic
132C23×D11—24no—
133C23×D11—22no—
134C23×D11—22no—
135C23×D11—22no—
136C23×D11—24no—
137C23×D11—24no—
138C23×D11—22no—
139C23×D11—24no—
140C23×D11—22no—
141C23×D11—24no—
142C23×D11—24no—
143C23×D11—22no—
144C23×D11C2×D418yes—
145C23×D11#4114yes—
146C23×D11C2414yes—
147C23×D11C2412yes—
148C22×C4×C11—22no—
149C22×C4×C11—22no—
150C22×C4×C11—24no—
151C22×C4×C11—24no—
152C22×C4×C11—24no—
153C22×C4×C11—22no—
154C22×C4×C11—24no—
155C22×C4×C11—24no—
156C22×C4×C11—24no—
157C22×C4×C11—28no—
158C22×C4×C11—28no—
159C22×C4×C11—28no—
160C22×C4×C11—416no—
161C22×C4×C11C2×D414yes—
162C22×C4×C11C2×D414yes—
163C22×C4×C11#4114yes—
164C22×C4×C11C2414yes—
165C22×C4×C11C2414yes—
166C22×C4×C11C2412yes—
167C22×C4×C11C2412yes—
168C2×C22⋊D11—232no—
169C2×C22⋊D11—28no—
170C2×C22⋊D11—28no—
171C2×C22⋊D11—216no—
172C2×C22⋊D11—216no—
173C2×C22⋊D11—28no—
174C2×C22⋊D11—48no—
175C2×C22⋊D11—432no—
176C22×Dic11—22no—
177C22×Dic11—24no—
178C22×Dic11—22no—
179C22×Dic11—22no—
180C22×Dic11—22no—
181C22×Dic11—22no—
182C22×Dic11—24no—
183C22×Dic11—22no—
184C22×Dic11—22no—
185C22×Dic11—24no—
186C22×Dic11C2×D414yes—
187C22×Dic11C2×D414yes—
188C22×Dic11C2414yes—
189C22×Dic11C2412yes—
190C22×Dic11C2412yes—
191C22×Dic11C2412yes—
192C2×D44—216no—
193C2×D44—216no—
194C2×D44—232no—
195C2×D44—28no—
196C2×D44—28no—
197C2×D44—48no—
198C2×D44—432no—
199C2×D44C2×D4116yescomplemented
200C2×C4×D11—216no—
201C2×C4×D11—28no—
202C2×C4×D11—28no—
203C2×C4×D11—28no—
204C2×C4×D11—48no—
205C2×C4×D11—48no—
206C2×C4×D11—432no—
207C2×C4×D11—416no—
208C11×C4⋊C4—28no—
209C11×C4⋊C4—28no—
210C11×C22⋊C4—48no—
211C22⋊Dic11—28no—
212(C2×D11)⋊C4—216no—
213(C2×D11)⋊C4—28no—
214(C2×D11)⋊C4—216no—
215(C2×D11)⋊C4—216no—
216(C2×D11)⋊C4—48no—
217C4⋊Dic11—28no—
218Dic11⋊C4—28no—
219C4×Dic11C2×D4116yescomplemented
220C22×#121—111no—
221C22×#121—111no—
222C22×C4×D4—111no—
223C22×C4×D4—111no—
224#2535—1116no—
225C2×#397—112no—
226C2×#392—112no—
227C2×#386—112no—
228C2×#386—112no—
229C2×#382—111no—
230C2×#380—111no—
231C2×#380D1111yescharacteristic, complemented
232C23×C11—28no—
233C23×C11—28no—
234C23×C11—28no—
235C23×C11—22no—
236C23×C11—22no—
237C23×C11—22no—
238C23×C11—22no—
239C23×C11—22no—
240C23×C11—22no—
241C23×C11—44no—
242C23×C11—44no—
243C23×C11—44no—
244C23×C11—44no—
245C23×C11C22×D412yes—
246C23×C11C22×D412yes—
247C23×C11C2×#4112yes—
248C23×C11C2×#4114yes—
249C23×C11C2×#4112yes—
250C23×C11C2×#4112yes—
251C23×C11H(5,𝔽2)12yes—
252C23×C11H(5,𝔽2)12yes—
253C23×C11C2511yescharacteristic
254C22×D11—216no—
255C22×D11—28no—
256C22×D11—28no—
257C22×D11—216no—
258C22×D11—216no—
259C22×D11—28no—
260C22×D11—24no—
261C22×D11—22no—
262C22×D11—22no—
263C22×D11—22no—
264C22×D11—24no—
265C22×D11—24no—
266C22×D11—22no—
267C22×D11—24no—
268C22×D11—22no—
269C22×D11—24no—
270C22×D11—24no—
271C22×D11—22no—
272C22×D11—44no—
273C22×D11—48no—
274C22×D11—48no—
275C22×D11—44no—
276C22×D11—44no—
277C22×D11—44no—
278C22×D11—48no—
279C22×D11—48no—
280C22×D11C22×D418yes—
281C22×D11C2×#4114yes—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—24no—
285C2×C4×C11—24no—
286C2×C4×C11—24no—
287C2×C4×C11—22no—
288C2×C4×C11—24no—
289C2×C4×C11—24no—
290C2×C4×C11—24no—
291C2×C4×C11—44no—
292C2×C4×C11—48no—
293C2×C4×C11—48no—
294C2×C4×C11—416no—
295C2×C4×C11#121116yes—
296C2×C4×C11C22×D414yes—
297C2×C4×C11C22×D414yes—
298C2×C4×C11C2×#4114yes—
299C22⋊D11—232no—
300C22⋊D11—432no—
301C2×Dic11—28no—
302C2×Dic11—28no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—24no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—24no—
312C2×Dic11—24no—
313C2×Dic11—44no—
314C2×Dic11—48no—
315C2×Dic11C22×D414yes—
316C2×Dic11C22×D414yes—
317D44—232no—
318D44—432no—
319C4×D11—432no—
320C4×D11—416no—
321C23×D4—111no—
322C23×D4—112no—
323C23×D4—111no—
324C23×D4—112no—
325C24×C4—111no—
326C24×C4—112no—
327C24×C4C2×D1111yescharacteristic
328C2×#121—118no—
329C2×#121—118no—
330C2×#121—228no—
331C2×#121—228no—
332C2×C4×D4—118no—
333C2×C4×D4—118no—
334C2×C4×D4—228no—
335C2×C4×D4—228no—
336C22×C4⋊C4—111no—
337C22×C4⋊C4—111no—
338C22×C4⋊C4C2×D1111yescharacteristic
339C22×C4⋊C4C2×D1111yescharacteristic
340C22×C22⋊C4—111no—
341C22×C22⋊C4—112no—
342C22×C22⋊C4—112no—
343C22×C22⋊C4—112no—
344C22×C22⋊C4—111no—
345C22×C22⋊C4—112no—
346C22×C22⋊C4C2×D1112yes—
347C22×C42—111no—
348#397—1116no—
349#392—1116no—
350#386—1116no—
351#386—1116no—
352#382—118no—
353#380—118no—
354#380C2×D1118yescomplemented
355C2×#95—112no—
356C2×#95—112no—
357C2×#95—112no—
358C2×#95C2×D1112yes—
359C22×C11—24no—
360C22×C11—24no—
361C22×C11—24no—
362C22×C11—42no—
363C22×C11—42no—
364C22×C11—42no—
365C22×C11—42no—
366C22×C11—416no—
367C22×C11C2×#12114yes—
368C22×C11#52514yes—
369C22×C11#53514yes—
370C22×C11#54614yes—
371C22×C11#54614yes—
372C22×C11#55314yes—
373C22×C11#55314yes—
374C22×C11C23×D411yescharacteristic
375C22×C11C23×D411yescharacteristic
376C22×C11C22×#4111yescharacteristic
377C22×C11C22×#4111yescharacteristic
378C22×C11C22×#4111yescharacteristic
379C22×C11C2×H(5,𝔽2)11yescharacteristic
380C22×C11C2×H(5,𝔽2)11yescharacteristic
381C2×D11—28no—
382C2×D11—24no—
383C2×D11—28no—
384C2×D11—28no—
385C2×D11—24no—
386C2×D11—24no—
387C2×D11—42no—
388C2×D11—44no—
389C2×D11—42no—
390C2×D11—44no—
391C2×D11—42no—
392C2×D11—44no—
393C2×D11—42no—
394C2×D11—44no—
395C2×D11—432no—
396C2×D11—416no—
397C4×C11—42no—
398C4×C11—44no—
399C4×C11—44no—
400C4×C11C2×#12118yes—
401Dic11—24no—
402Dic11—24no—
403Dic11—42no—
404Dic11—44no—
405C25—112no—
406C25—111no—
407C25C22×D1111yescharacteristic
408C22×D4—114no—
409C22×D4—118no—
410C22×D4—118no—
411C22×D4—114no—
412C22×D4—118no—
413C22×D4—228no—
414C22×D4—228no—
415C22×D4—224no—
416C22×D4—224no—
417C22×D4—224no—
418C22×D4—228no—
419C22×D4—228no—
420C22×D4—224no—
421C22×D4—224no—
422C22×D4—444no—
423C22×D4—444no—
424C23×C4—24no—
425C23×C4—24no—
426C23×C4—24no—
427C23×C4—111no—
428C23×C4—111no—
429C23×C4—111no—
430C23×C4—112no—
431C23×C4—114no—
432C23×C4—118no—
433C23×C4—228no—
434C23×C4—224no—
435C23×C4—224no—
436C23×C4—224no—
437C23×C4—444no—
438C23×C4—444no—
439C23×C4C22×D1114yes—
440C23×C4C22×D1111yescharacteristic
441C23×C4C22×D1112yes—
442C23×C4C22×D1112yes—
443C23×C4C22×D1111yescharacteristic
444#121—2232no—
445#121—2232no—
446C4×D4—2232no—
447C4×D4—2232no—
448C2×C4⋊C4—24no—
449C2×C4⋊C4—24no—
450C2×C4⋊C4—114no—
451C2×C4⋊C4—114no—
452C2×C4⋊C4—224no—
453C2×C4⋊C4—224no—
454C2×C4⋊C4C22×D1114yes—
455C2×C4⋊C4C22×D1114yes—
456C2×C22⋊C4—44no—
457C2×C22⋊C4—114no—
458C2×C22⋊C4—114no—
459C2×C22⋊C4—118no—
460C2×C22⋊C4—118no—
461C2×C22⋊C4—118no—
462C2×C22⋊C4—118no—
463C2×C22⋊C4—228no—
464C2×C22⋊C4—224no—
465C2×C22⋊C4—228no—
466C2×C22⋊C4—228no—
467C2×C22⋊C4—224no—
468C2×C22⋊C4—444no—
469C2×C22⋊C4C22×D1118yes—
470C2×C42—118no—
471C2×C42—114no—
472#95—118no—
473#95—118no—
474#95—118no—
475#95C22×D1118yes—
476C2×C11—44no—
477C2×C11#253518yescomplemented
478C2×C11C22×#12111yescharacteristic
479C2×C11C2×#52511yescharacteristic
480C2×C11C2×#53511yescharacteristic
481C2×C11C2×#54611yescharacteristic
482C2×C11C2×#54611yescharacteristic
483C2×C11C2×#55311yescharacteristic
484C2×C11C2×#55311yescharacteristic
485D11—48no—
486D11—44no—
487C24—22no—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—22no—
492C24—22no—
493C24—118no—
494C24—114no—
495C24—114no—
496C24—112no—
497C24—222no—
498C24—224no—
499C24—224no—
500C24—222no—
501C24—222no—
502C24—224no—
503C24—222no—
504C24—222no—
505C24—224no—
506C24—224no—
507C24—222no—
508C24—224no—
509C24#434314yes—
510C24C23×D1112yes—
511C24C23×D1111yescharacteristic
512C2×D4—1116no—
513C2×D4—2216no—
514C2×D4—2216no—
515C2×D4—228no—
516C2×D4—228no—
517C2×D4—2232no—
518C2×D4—228no—
519C2×D4—2216no—
520C2×D4—2216no—
521C2×D4—2232no—
522C2×D4—228no—
523C2×D4—228no—
524C2×D4—448no—
525C2×D4—4432no—
526C2×D4—448no—
527C2×D4—4432no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—24no—
531C22×C4—24no—
532C22×C4—22no—
533C22×C4—24no—
534C22×C4—24no—
535C22×C4—24no—
536C22×C4—24no—
537C22×C4—28no—
538C22×C4—28no—
539C22×C4—28no—
540C22×C4—416no—
541C22×C4—114no—
542C22×C4—114no—
543C22×C4—112no—
544C22×C4—112no—
545C22×C4—114no—
546C22×C4—112no—
547C22×C4—2216no—
548C22×C4—222no—
549C22×C4—222no—
550C22×C4—222no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—222no—
554C22×C4—222no—
555C22×C4—224no—
556C22×C4—224no—
557C22×C4—224no—
558C22×C4—228no—
559C22×C4—228no—
560C22×C4—228no—
561C22×C4—448no—
562C22×C4—448no—
563C22×C4—4432no—
564C22×C4—4416no—
565C22×C4#433914yes—
566C22×C4D4×D1114yes—
567C22×C4D4×D1114yes—
568C22×C4C23×D1114yes—
569C22×C4C23×D1114yes—
570C22×C4C23×D1112yes—
571C22×C4C23×D1112yes—
572C4⋊C4—28no—
573C4⋊C4—28no—
574C4⋊C4—228no—
575C4⋊C4—228no—
576C22⋊C4—48no—
577C22⋊C4—2216no—
578C22⋊C4—228no—
579C22⋊C4—2216no—
580C22⋊C4—2216no—
581C22⋊C4—228no—
582C22⋊C4—448no—
583C42—1116no—
584C11C2×#253511yescharacteristic, complemented, Sylow
585C23—28no—
586C23—28no—
587C23—28no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—44no—
598C23—118no—
599C23—114no—
600C23—2216no—
601C23—228no—
602C23—228no—
603C23—2216no—
604C23—228no—
605C23—2216no—
606C23—222no—
607C23—224no—
608C23—222no—
609C23—224no—
610C23—222no—
611C23—224no—
612C23—222no—
613C23—222no—
614C23—224no—
615C23—224no—
616C23—222no—
617C23—224no—
618C23—444no—
619C23—444no—
620C23—448no—
621C23—448no—
622C23—448no—
623C23—444no—
624C23—448no—
625C23—444no—
626C23C2×#433912yes—
627C23C2×D4×D1112yes—
628C23C2×D4×D1112yes—
629C23#6703712yes—
630C23C2×#434314yes—
631C23C2×#434312yes—
632C23#41×D1112yes—
633C23#6704212yes—
634C23C24×D1111yescharacteristic
635D4—2232no—
636D4—2232no—
637D4—4432no—
638D4—4432no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—44no—
649C2×C4—48no—
650C2×C4—48no—
651C2×C4—416no—
652C2×C4—114no—
653C2×C4—114no—
654C2×C4—228no—
655C2×C4—228no—
656C2×C4—222no—
657C2×C4—222no—
658C2×C4—222no—
659C2×C4—222no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—222no—
663C2×C4—224no—
664C2×C4—224no—
665C2×C4—224no—
666C2×C4—4432no—
667C2×C4—444no—
668C2×C4—448no—
669C2×C4—4416no—
670C2×C4#66937116yes—
671C2×C4C2×#433914yes—
672C2×C4C2×D4×D1114yes—
673C2×C4C2×D4×D1114yes—
674C22—24no—
675C22—24no—
676C22—24no—
677C22—42no—
678C22—42no—
679C22—416no—
680C22—42no—
681C22—42no—
682C22—224no—
683C22—224no—
684C22—228no—
685C22—224no—
686C22—228no—
687C22—228no—
688C22—444no—
689C22—444no—
690C22—442no—
691C22—444no—
692C22—444no—
693C22—442no—
694C22—4432no—
695C22—4416no—
696C22—442no—
697C22—442no—
698C22C2×#6693714yes—
699C22#1062304514yes—
700C22#1062306114yes—
701C22#1062313814yes—
702C22#1062314314yes—
703C22#1062315814yes—
704C22#1062316114yes—
705C22C22×#433911yescharacteristic
706C22C22×D4×D1111yescharacteristic
707C22C22×D4×D1111yescharacteristic
708C22C2×#6703711yescharacteristic
709C22C22×#434311yescharacteristic
710C22C2×#41×D1111yescharacteristic
711C22C2×#6704211yescharacteristic
712C4—44no—
713C4—44no—
714C4—42no—
715C4—224no—
716C4—224no—
717C4—444no—
718C4—442no—
719C4C2×#6693718yes—
720C2—44no—
721C2—444no—
722C2—448no—
723C2#1307351918yesdirect product factor
724C2C22×#6693711yescharacteristic
725C2C2×#1062315811yescharacteristic
726C2C2×#1062313811yescharacteristic
727C2C2×#1062316111yescharacteristic
728C2C2×#1062314311yescharacteristic
729C2C2×#1062306111yescharacteristic
730C2C2×#1062304511yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#380C2
socleC24×C11C24
hypercenterC2×#380D11
hypocenterC11C2×#2535
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
1. C22×#66948C2semidirect
2. C22×#66983C2semidirect
3. C22×#66946C2semidirect
4. C22×C4×C22⋊D11C2semidirect
5. #13073519C2direct (N × H)
6. C2×#10622288C2semidirect
7. C2×#10622573C2semidirect
8. C2×#10622278C2semidirect
9. C2×#10622569C2semidirect
10. C2×#10622590C2semidirect
11. C2×#10622600C2semidirect
12. C2×C11×#380C2semidirect
25. C2×#66983C22semidirect
27. C2×C4×C22⋊D11C22semidirect
37. C2×#66948C22semidirect
39. C2×#66946C22semidirect
40. C11×#380C22semidirect
45. #10622600C22semidirect
46. #10622590C22semidirect
47. #10622573C22semidirect
48. #10622569C22semidirect
49. #10622288C22semidirect
50. #10622278C22semidirect
79. C22×D44D4semidirect
114. C2×C4×Dic11D4semidirect
199. C2×D44C2×D4semidirect
219. C4×Dic11C2×D4semidirect
231. C2×#380D11semidirect
354. #380C2×D11semidirect
477. C2×C11#2535semidirect
584. C11C2×#2535semidirect
723. C2#13073519direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669482
C22×#669832
C22×#669462
C22×C4×C22⋊D112
#130735192
C2×#106222882
C2×#106225732
C2×#106222782
C2×#106225692
C2×#106225902
C2×#106226002
C2×C11×#3802
C2×#253511