Finite Group Databasebeta

← C2×#13078081 #15620604

Subgroups — C2×#13078081 #15620604

Order 2816.

3242 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66967C212yesmaximal, complemented
2C2×#10623256C211yesmaximal, characteristic, complemented
3C2×C4×D4×D11C211yesmaximal, characteristic, complemented
4#13078081C2116yesmaximal, direct product factor
5C2×#10622432C212yesmaximal, complemented
6C2×#10622778C212yesmaximal, complemented
7C2×#10622696C211yesmaximal, characteristic, complemented
8C2×#10622456C211yesmaximal, characteristic, complemented
9C2×#10622628C211yesmaximal, characteristic, complemented
10C2×#10622450C211yesmaximal, characteristic, complemented
11C2×#10622416C212yesmaximal, complemented
12C2×C11×#461C211yesmaximal, characteristic, complemented
13C22×#4343C2212yes—
14C22×D4×D11C2211yescharacteristic
15C23×C4×D11—21no—
16C22×C11×SD16C2212yes—
17C2×C11×C4⋊Q8C2211yescharacteristic, complemented
18C2×C4×D4×C11C2211yescharacteristic
19C2×#67000C2212yescomplemented
20C22×#4325C2212yes—
21C2×D4×Dic11C2211yescharacteristic
22C22×#4323C2212yes—
23C2×C4×C22⋊D11—21no—
24C2×#66967—216no—
25C2×#66967C22116yescomplemented
26C22×D88C2212yes—
27C22×#4313C2212yes—
28#10623256—24no—
29#10623256C2218yescomplemented
30C4×D4×D11—24no—
31C4×D4×D11C2218yescomplemented
32C2×#66948—21no—
33C2×#66948—21no—
34C2×#66946—21no—
35C2×#66946—21no—
36C2×#66946C2211yescharacteristic
37C2×C4⋊C4×D11C2211yescharacteristic
38C2×(C22⋊D11)⋊C4—21no—
39C2×C22⋊C4×D11—21no—
40C2×#66927C2211yescharacteristic, complemented
41C2×C4×D44C2211yescharacteristic
42C2×C42×D11C2211yescharacteristic
43C11×#461C2218yescomplemented
44C2×C11×C4⋊C8C2211yescharacteristic, complemented
45C2×C11×#103C2212yescomplemented
46C2×#66899C2212yescomplemented
47#10622778C22116yescomplemented
48C2×#66885C2212yescomplemented
49C2×Dic11⋊C8C2212yescomplemented
50#10622696C2218yescomplemented
51#10622628C2218yescomplemented
52C2×#66873C2212yescomplemented
53C2×C4⋊(C11⋊C8)C2211yescharacteristic, complemented
54#10622456C2218yescomplemented
55#10622450C2218yescomplemented
56#10622432C22116yescomplemented
57#10622416C22116yescomplemented
58C24×D11—21no—
59C22×Q8×C11C2312yes—
60C22×D4×C11C2311yescharacteristic
61C23×C4×C11—21no—
62C22×C22⋊D11—21no—
63C23×Dic11—21no—
64C2×#4343—24no—
65C2×#4343—28no—
66C2×#4343—28no—
67C2×#4343C2318yes—
68C2×D4×D11—22no—
69C2×D4×D11—24no—
70C2×D4×D11D418yescomplemented
71C2×D4×D11C2314yes—
72C22×D44—22no—
73C22×D44—21no—
74C22×D44—21no—
75C22×D44C2312yes—
76C22×D44C2311yescharacteristic
77C22×C4×D11—21no—
78C22×C4×D11—21no—
79C22×C4×D11—21no—
80C22×C4×D11—22no—
81C22×C4×D11—28no—
82C22×C4×D11—48no—
83C22×C4×D11D411yescharacteristic
84C22×C4×D11D411yescharacteristic
85C22×C4×D11C2311yescharacteristic
86C2×C11×SD16—28no—
87C2×C11×SD16C2318yes—
88C22×C8×C11C2312yes—
89C11×C4⋊Q8—22no—
90C11×C4⋊Q8C2314yescomplemented
91C4×D4×C11—22no—
92C4×D4×C11C2314yes—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4—21no—
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C22⋊C4—21no—
97C2×C42×C11C2311yescharacteristic
98C2×C22⋊Dic11—21no—
99#67000—24no—
100#67000C2318yescomplemented
101C2×#4325—28no—
102C2×#4325C2318yes—
103D4×Dic11—22no—
104D4×Dic11C2314yes—
105C2×#4323—28no—
106C2×#4323C2318yes—
107C4×C22⋊D11—28no—
108C2×(C2×D11)⋊C4—21no—
109C2×(C2×D11)⋊C4—21no—
110C2×(C2×D11)⋊C4—22no—
111C2×(C2×D11)⋊C4—22no—
112C2×C4⋊Dic11C2311yescharacteristic
113C2×Dic11⋊C4—21no—
114C2×C4×Dic11D411yescharacteristic
115C2×C4×Dic11D411yescharacteristic
116C2×C4×Dic11C2311yescharacteristic
117C22×C11⋊C8C2312yes—
118#66967—264no—
119C2×D88—28no—
120C2×D88C2318yes—
121C2×#4313—28no—
122C2×#4313C2318yes—
123#66948—28no—
124#66948—28no—
125#66946—28no—
126#66946—28no—
127#66946—22no—
128#66946C2314yes—
129C4⋊C4×D11—22no—
130C4⋊C4×D11C2314yes—
131(C22⋊D11)⋊C4—28no—
132C22⋊C4×D11—28no—
133#66927—22no—
134#66927C2314yescomplemented
135C4×D44—22no—
136C4×D44C2314yes—
137C42×D11D414yes—
138C42×D11C2314yes—
139C11×C4⋊C8C2314yescomplemented
140C11×#103C2318yescomplemented
141#66899C2318yescomplemented
142#66885C2318yescomplemented
143Dic11⋊C8C2318yescomplemented
144#66873C2318yescomplemented
145C4⋊(C11⋊C8)C2314yescomplemented
146C2×#3036—111nomaximal, Sylow
147C24×C11—21no—
148C23×D11—21no—
149C23×D11—28no—
150C23×D11—24no—
151C23×D11—22no—
152C23×D11—44no—
153C23×D11—44no—
154C23×D11C2×D411yescharacteristic
155C2×Q8×C11—22no—
156C2×Q8×C11—24no—
157C2×Q8×C11—24no—
158C2×Q8×C11C2414yes—
159C2×D4×C11—21no—
160C2×D4×C11—22no—
161C2×D4×C11C2×D414yes—
162C2×D4×C11C2412yes—
163C22×C4×C11—21no—
164C22×C4×C11—22no—
165C22×C4×C11—24no—
166C22×C4×C11—44no—
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2411yescharacteristic
170C2×C22⋊D11—28no—
171C2×C22⋊D11—24no—
172C22×Dic11—24no—
173C22×Dic11—21no—
174C22×Dic11—44no—
175C22×Dic11C2×D411yescharacteristic
176C22×Dic11C2×D411yescharacteristic
177C22×Dic11C2×D411yescharacteristic
178#4343—216no—
179#4343—216no—
180#4343—416no—
181D4×D11—216no—
182D4×D11—28no—
183D4×D11C2×D4116yescomplemented
184C2×D44—28no—
185C2×D44—21no—
186C2×D44—22no—
187C2×D44—24no—
188C2×D44—24no—
189C2×D44—24no—
190C2×D44—22no—
191C2×D44—24no—
192C2×D44—44no—
193C2×D44—48no—
194C2×D44—44no—
195C2×D44C2×D414yes—
196C2×D44C2414yes—
197C2×D44C2412yes—
198C2×C4×D11—24no—
199C2×C4×D11—28no—
200C2×C4×D11—24no—
201C2×C4×D11—24no—
202C2×C4×D11—24no—
203C2×C4×D11—42no—
204C2×C4×D11—44no—
205C2×C4×D11—432no—
206C2×C4×D11—44no—
207C2×C4×D11—48no—
208C2×C4×D11—44no—
209C2×C4×D11C2×D414yes—
210C2×C4×D11C2×D414yes—
211C2×C4×D11C2×D414yes—
212C2×C4×D11C2×D412yes—
213C2×C4×D11#4114yes—
214C2×C4×D11C2412yes—
215C11×SD16—216no—
216C2×C8×C11—24no—
217C2×C8×C11C2414yes—
218C11×C4⋊C4—21no—
219C11×C4⋊C4—24no—
220C11×C4⋊C4—24no—
221C11×C4⋊C4C2412yes—
222C11×C22⋊C4—24no—
223C42×C11C2×D412yes—
224C42×C11C2412yes—
225C22⋊Dic11—24no—
226#4325—216no—
227#4323—216no—
228(C2×D11)⋊C4—24no—
229(C2×D11)⋊C4—28no—
230(C2×D11)⋊C4—28no—
231(C2×D11)⋊C4—24no—
232C4⋊Dic11—21no—
233C4⋊Dic11C2412yes—
234Dic11⋊C4—24no—
235C4×Dic11C2×D412yes—
236C4×Dic11C2×D414yes—
237C4×Dic11C2×D414yes—
238C4×Dic11C2412yes—
239C2×C11⋊C8—24no—
240C2×C11⋊C8C2414yes—
241D88—216no—
242#4313—216no—
243C22×AGL(1,ℤ/8)—112no—
244C2×#532—111no—
245C22×C4×D4—111no—
246#3036—1116no—
247C2×#463—112no—
248C2×#463—112no—
249C2×#461—111no—
250C2×#461D1111yescharacteristic, complemented
251C2×#459—111no—
252C2×#459—111no—
253C2×#423—111no—
254C2×#417—112no—
255C23×C11—24no—
256C23×C11—22no—
257C23×C11—42no—
258C23×C11—42no—
259C23×C11C22×D411yescharacteristic
260C22×D11—22no—
261C22×D11—22no—
262C22×D11—24no—
263C22×D11—22no—
264C22×D11—216no—
265C22×D11—24no—
266C22×D11—48no—
267C22×D11—432no—
268C22×D11—48no—
269C22×D11—42no—
270C22×D11—42no—
271C22×D11—44no—
272C22×D11—44no—
273C22×D11—44no—
274C22×D11#12114yes—
275C22×D11C22×D412yes—
276Q8×C11—24no—
277Q8×C11—24no—
278Q8×C11—44no—
279D4×C11—24no—
280D4×C11—22no—
281D4×C11C22×D414yes—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—24no—
285C2×C4×C11—44no—
286C2×C4×C11—42no—
287C2×C4×C11—48no—
288C2×C4×C11AGL(1,ℤ/8)14yescomplemented
289C2×C4×C11C22×D412yes—
290C2×C4×C11C22×D411yescharacteristic
291C2×C4×C11C22×D412yes—
292C2×C4×C11C22×D412yes—
293C2×C4×C11C2×#4112yes—
294C2×C4×C11C2511yescharacteristic
295C22⋊D11—216no—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—48no—
300C2×Dic11—42no—
301C2×Dic11#12114yes—
302C2×Dic11C22×D412yes—
303C2×Dic11C22×D412yes—
304C2×Dic11C22×D412yes—
305D44—24no—
306D44—24no—
307D44—22no—
308D44—24no—
309D44—48no—
310D44—416no—
311D44—44no—
312D44—48no—
313D44C22×D414yes—
314C4×D11—28no—
315C4×D11—44no—
316C4×D11—48no—
317C4×D11—48no—
318C4×D11—48no—
319C4×D11—416no—
320C4×D11#12118yes—
321C4×D11C22×D414yes—
322C4×D11C2×#4114yes—
323C8×C11—24no—
324C11⋊C8—24no—
325C22×#41—112no—
326C23×D4—111no—
327C24×C4—221no—
328C2×AGL(1,ℤ/8)—1116no—
329C2×AGL(1,ℤ/8)—2216no—
330C22×SD16—112no—
331C22×SD16C2×D1112yes—
332C22×D8—112no—
333C22×D8—112no—
334C22×M16—112no—
335#532—118no—
336#532—224no—
337C2×C4⋊Q8C2×D1111yescharacteristic, complemented
338C2×#127—111no—
339C2×#124—112no—
340C2×#121—221no—
341C2×#121—221no—
342C2×C4×D4—111no—
343C2×C4×D4—118no—
344C2×C4×D4—111no—
345C2×C4×D4—111no—
346C2×C4×D4—221no—
347C2×C4×D4—221no—
348C2×C4×D4—221no—
349C2×C4×D4—224no—
350C2×C4×D4—221no—
351C2×C4×D4C2×D1111yescharacteristic
352C22×C4⋊C4—111no—
353C22×C22⋊C4—221no—
354C22×C42—111no—
355#463—1116no—
356#463—1116no—
357#461—118no—
358#461C2×D1118yescomplemented
359#459—118no—
360#459—118no—
361#423—118no—
362C2×C4⋊C8—112no—
363C2×C4⋊C8—111no—
364C2×C4⋊C8C2×D1111yescharacteristic, complemented
365#417—1116no—
366C2×#103—112no—
367C2×#103C2×D1112yescomplemented
368C2×#102—112no—
369C2×#102—112no—
370C22×C11—24no—
371C22×C11—48no—
372C22×C11—42no—
373C22×C11—42no—
374C22×C11C2×#12112yes—
375C22×C11C2×AGL(1,ℤ/8)12yes—
376C22×C11#57512yes—
377C22×C11C23×D411yescharacteristic
378C2×D11—28no—
379C2×D11—22no—
380C2×D11—22no—
381C2×D11—24no—
382C2×D11—432no—
383C2×D11—48no—
384C2×D11—42no—
385C2×D11—42no—
386C2×D11—44no—
387C2×D11—44no—
388C2×D11—44no—
389C2×D11—88no—
390C2×D11C2×#12114yes—
391C4×C11—22no—
392C4×C11—44no—
393C4×C11—42no—
394C4×C11C2×#12112yes—
395C4×C11C2×AGL(1,ℤ/8)14yescomplemented
396C4×C11C23×D411yescharacteristic
397C4×C11C22×#4111yescharacteristic
398Dic11—22no—
399Dic11—22no—
400Dic11—42no—
401Dic11C2×#12114yes—
402C25—221no—
403C2×#41—118no—
404C2×#41—224no—
405C2×#41—228no—
406C2×#41—228no—
407C22×Q8C22×D1112yes—
408C22×D4—118no—
409C22×D4—114no—
410C22×D4—111no—
411C22×D4—112no—
412C22×D4—222no—
413C22×D4—222no—
414C22×D4—224no—
415C22×D4—221no—
416C22×D4—221no—
417C22×D4—221no—
418C22×D4C22×D1111yescharacteristic
419C23×C4—21no—
420C23×C4—111no—
421C23×C4—111no—
422C23×C4—111no—
423C23×C4—221no—
424C23×C4—228no—
425C23×C4—222no—
426C23×C4—221no—
427C23×C4—221no—
428C23×C4—221no—
429C23×C4—448no—
430AGL(1,ℤ/8)—2264no—
431C2×SD16—28no—
432C2×SD16—118no—
433C2×SD16—228no—
434C2×SD16C22×D1118yes—
435C2×D8—118no—
436C2×D8—118no—
437C2×D8—228no—
438C2×D8—228no—
439C2×M16—118no—
440C2×M16—228no—
441C22×C8—112no—
442C22×C8C22×D1112yes—
443C4⋊Q8—22no—
444C4⋊Q8C22×D1114yescomplemented
445#127—114no—
446#127—222no—
447#124—118no—
448#124—224no—
449#121—228no—
450#121—228no—
451C4×D4—22no—
452C4×D4—114no—
453C4×D4—114no—
454C4×D4—114no—
455C4×D4—228no—
456C4×D4—222no—
457C4×D4—228no—
458C4×D4—228no—
459C4×D4—228no—
460C4×D4—222no—
461C4×D4—222no—
462C4×D4C22×D1114yes—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—111no—
466C2×C4⋊C4—114no—
467C2×C4⋊C4—222no—
468C2×C4⋊C4—221no—
469C2×C4⋊C4C22×D1111yescharacteristic
470C2×C22⋊C4—21no—
471C2×C22⋊C4—228no—
472C2×C22⋊C4—221no—
473C2×C22⋊C4—222no—
474C2×C22⋊C4—222no—
475C2×C22⋊C4—221no—
476C2×C22⋊C4—221no—
477C2×C42—111no—
478C2×C42—111no—
479C2×C42—111no—
480C2×C42—114no—
481C2×C42—114no—
482C2×C42C22×D1111yescharacteristic
483C4⋊C8—118no—
484C4⋊C8—114no—
485C4⋊C8C22×D1114yescomplemented
486#103—118no—
487#103C22×D1118yescomplemented
488#102—118no—
489#102—118no—
490C2×C11—44no—
491C2×C11#303614yescomplemented
492C2×C11C22×#12111yescharacteristic
493C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
494C2×C11C2×#57511yescharacteristic
495D11—24no—
496D11—44no—
497D11—84no—
498C24—21no—
499C24—111no—
500C24—224no—
501C24—228no—
502C24—221no—
503C24—222no—
504C24—444no—
505C24—444no—
506#41—2216no—
507#41—2216no—
508#41—4416no—
509C2×Q8—22no—
510C2×Q8—24no—
511C2×Q8—24no—
512C2×Q8C23×D1114yes—
513C2×D4—21no—
514C2×D4—22no—
515C2×D4—1116no—
516C2×D4—114no—
517C2×D4—112no—
518C2×D4—114no—
519C2×D4—228no—
520C2×D4—2216no—
521C2×D4—228no—
522C2×D4—224no—
523C2×D4—228no—
524C2×D4—221no—
525C2×D4—224no—
526C2×D4—224no—
527C2×D4—224no—
528C2×D4—222no—
529C2×D4—222no—
530C2×D4—224no—
531C2×D4—444no—
532C2×D4—448no—
533C2×D4—444no—
534C2×D4D4×D1114yes—
535C2×D4C23×D1112yes—
536C22×C4—21no—
537C22×C4—22no—
538C22×C4—24no—
539C22×C4—44no—
540C22×C4—111no—
541C22×C4—112no—
542C22×C4—114no—
543C22×C4—114no—
544C22×C4—112no—
545C22×C4—111no—
546C22×C4—111no—
547C22×C4—114no—
548C22×C4—114no—
549C22×C4—224no—
550C22×C4—228no—
551C22×C4—224no—
552C22×C4—224no—
553C22×C4—224no—
554C22×C4—221no—
555C22×C4—224no—
556C22×C4—442no—
557C22×C4—448no—
558C22×C4—444no—
559C22×C4—4432no—
560C22×C4—444no—
561C22×C4—444no—
562C22×C4—444no—
563C22×C4D4×D1111yescharacteristic
564C22×C4D4×D1111yescharacteristic
565C22×C4C23×D1111yescharacteristic
566SD16—216no—
567SD16—2216no—
568D8—2216no—
569D8—2216no—
570M16—2216no—
571C2×C8—24no—
572C2×C8—114no—
573C2×C8—224no—
574C2×C8C23×D1114yes—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—21no—
578C4⋊C4—112no—
579C4⋊C4—224no—
580C4⋊C4—221no—
581C4⋊C4C23×D1112yes—
582C22⋊C4—24no—
583C22⋊C4—224no—
584C22⋊C4—228no—
585C22⋊C4—228no—
586C22⋊C4—224no—
587C22⋊C4—224no—
588C42—114no—
589C42—114no—
590C42—112no—
591C42—112no—
592C42D4×D1112yes—
593C42C23×D1112yes—
594C11C2×#303611yescharacteristic, complemented, Sylow
595C23—24no—
596C23—22no—
597C23—42no—
598C23—42no—
599C23—114no—
600C23—112no—
601C23—2216no—
602C23—222no—
603C23—222no—
604C23—224no—
605C23—222no—
606C23—224no—
607C23—448no—
608C23—4432no—
609C23—448no—
610C23—442no—
611C23—442no—
612C23—444no—
613C23—444no—
614C23—444no—
615C23C2×D4×D1111yescharacteristic
616Q8—24no—
617Q8—24no—
618Q8—44no—
619D4—24no—
620D4—22no—
621D4—114no—
622D4—2216no—
623D4—224no—
624D4—224no—
625D4—222no—
626D4—224no—
627D4—448no—
628D4—4416no—
629D4—448no—
630D4—444no—
631D4C2×D4×D1114yes—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—42no—
636C2×C4—44no—
637C2×C4—48no—
638C2×C4—114no—
639C2×C4—112no—
640C2×C4—118no—
641C2×C4—114no—
642C2×C4—114no—
643C2×C4—112no—
644C2×C4—112no—
645C2×C4—222no—
646C2×C4—222no—
647C2×C4—228no—
648C2×C4—222no—
649C2×C4—444no—
650C2×C4—4416no—
651C2×C4—448no—
652C2×C4—448no—
653C2×C4—448no—
654C2×C4—442no—
655C2×C4—448no—
656C2×C4#6696714yescomplemented
657C2×C4C2×D4×D1112yes—
658C2×C4C2×D4×D1112yes—
659C2×C4C2×D4×D1111yescharacteristic
660C2×C4C2×D4×D1112yes—
661C2×C4#41×D1112yes—
662C2×C4C24×D1111yescharacteristic
663C8—24no—
664C8—224no—
665C22—24no—
666C22—48no—
667C22—42no—
668C22—42no—
669C22—114no—
670C22—228no—
671C22—222no—
672C22—222no—
673C22—224no—
674C22—4432no—
675C22—448no—
676C22—442no—
677C22—442no—
678C22—444no—
679C22—444no—
680C22—444no—
681C22—888no—
682C22D11×#12112yes—
683C22C2×#6696712yes—
684C22#1062330812yes—
685C22C22×D4×D1111yescharacteristic
686C4—22no—
687C4—42no—
688C4—44no—
689C4—114no—
690C4—222no—
691C4—222no—
692C4—442no—
693C4D11×#12112yes—
694C4C2×#6696714yescomplemented
695C4C22×D4×D1111yescharacteristic
696C4C2×#41×D1111yescharacteristic
697C2—44no—
698C2—224no—
699C2—444no—
700C2—884no—
701C2#1307808114yesdirect product factor
702C2C2×D11×#12111yescharacteristic
703C2C22×#6696711yescharacteristic
704C2C2×#1062330811yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#461C2
socleC23×C11C22×D4
hypercenterC2×#461D11
hypocenterC11C2×#3036
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#461

Complements

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

NH ≅ G/Ntype
1. C22×#66967C2semidirect
2. C2×#10623256C2semidirect
3. C2×C4×D4×D11C2semidirect
4. #13078081C2direct (N × H)
5. C2×#10622432C2semidirect
6. C2×#10622778C2semidirect
7. C2×#10622696C2semidirect
8. C2×#10622456C2semidirect
9. C2×#10622628C2semidirect
10. C2×#10622450C2semidirect
11. C2×#10622416C2semidirect
12. C2×C11×#461C2semidirect
17. C2×C11×C4⋊Q8C22semidirect
19. C2×#67000C22semidirect
25. C2×#66967C22semidirect
29. #10623256C22semidirect
31. C4×D4×D11C22semidirect
40. C2×#66927C22semidirect
43. C11×#461C22semidirect
44. C2×C11×C4⋊C8C22semidirect
45. C2×C11×#103C22semidirect
46. C2×#66899C22semidirect
47. #10622778C22semidirect
48. C2×#66885C22semidirect
49. C2×Dic11⋊C8C22semidirect
50. #10622696C22semidirect
51. #10622628C22semidirect
52. C2×#66873C22semidirect
53. C2×C4⋊(C11⋊C8)C22semidirect
54. #10622456C22semidirect
55. #10622450C22semidirect
56. #10622432C22semidirect
57. #10622416C22semidirect
70. C2×D4×D11D4semidirect
90. C11×C4⋊Q8C23semidirect
100. #67000C23semidirect
134. #66927C23semidirect
139. C11×C4⋊C8C23semidirect
140. C11×#103C23semidirect
141. #66899C23semidirect
142. #66885C23semidirect
143. Dic11⋊C8C23semidirect
144. #66873C23semidirect
145. C4⋊(C11⋊C8)C23semidirect
183. D4×D11C2×D4semidirect
250. C2×#461D11semidirect
288. C2×C4×C11AGL(1,ℤ/8)semidirect
337. C2×C4⋊Q8C2×D11semidirect
358. #461C2×D11semidirect
364. C2×C4⋊C8C2×D11semidirect
367. C2×#103C2×D11semidirect
395. C4×C11C2×AGL(1,ℤ/8)semidirect
444. C4⋊Q8C22×D11semidirect
485. C4⋊C8C22×D11semidirect
487. #103C22×D11semidirect
491. C2×C11#3036semidirect
594. C11C2×#3036semidirect
656. C2×C4#66967semidirect
694. C4C2×#66967semidirect
701. C2#13078081direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669672
C2×#106232562
C2×C4×D4×D112
#130780812
C2×#106224322
C2×#106227782
C2×#106226962
C2×#106224562
C2×#106226282
C2×#106224502
C2×#106224162
C2×C11×#4612
C2×#303611