Finite Group Databasebeta

← C2×#13078079 #15620602

Subgroups — C2×#13078079 #15620602

Order 2816.

3242 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66961C211yesmaximal, characteristic, complemented
2C22×#67002C211yesmaximal, characteristic, complemented
3C2×#10623363C211yesmaximal, characteristic, complemented
4C22×#66946C211yesmaximal, characteristic, complemented
5#13078079C2116yesmaximal, direct product factor
6C2×#10622432C212yesmaximal, complemented
7C2×#10622400C212yesmaximal, complemented
8C2×#10622431C212yesmaximal, complemented
9C2×#10622399C212yesmaximal, complemented
10C2×#10622731C211yesmaximal, characteristic, complemented
11C2×#10622579C211yesmaximal, characteristic, complemented
12C2×C11×#417C211yesmaximal, characteristic, complemented
13C22×C11×#41C2211yescharacteristic
14C22×#4339C2211yescharacteristic
15C23×D44C2211yescharacteristic
16C23×C4×D11—21no—
17C22×C11×M16C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19#10623363—24no—
20#10623363C2218yescomplemented
21C2×#67002—28no—
22C2×#67002C2218yescomplemented
23C2×#67000C2211yescharacteristic, complemented
24C2×#66997C2211yescharacteristic, complemented
25C22×#4325C2212yes—
26C2×#66993C2211yescharacteristic, complemented
27C2×#66992—21no—
28C2×#66992—21no—
29C2×#66989C2211yescharacteristic, complemented
30C22×#4323C2212yes—
31C2×C4×C22⋊D11—21no—
32C2×C4×C22⋊D11—21no—
33C22×(C2×D11)⋊C4—21no—
34C22×C4×Dic11C2211yescharacteristic
35C22×#4318C2211yescharacteristic
36C2×#66961—28no—
37C2×#66961C2218yescomplemented
38C22×D88C2212yes—
39C22×#4314C2212yes—
40C2×#66946—24no—
41C2×#66946—21no—
42C2×#66946—21no—
43C2×#66946C2212yes—
44C2×#66946C2212yes—
45C2×#66946C2218yescomplemented
46C11×#417C2218yescomplemented
47C2×C11×#103C2212yescomplemented
48C2×C11×#102C2212yescomplemented
49#10622731C2218yescomplemented
50C2×Dic11⋊C8C2212yescomplemented
51C2×Dic11⋊C8C2212yescomplemented
52C2×#66874C2212yescomplemented
53#10622579C2218yescomplemented
54C2×#66873C2212yescomplemented
55#10622432C22116yescomplemented
56#10622431C22116yescomplemented
57#10622400C22116yescomplemented
58#10622399C22116yescomplemented
59C24×D11—21no—
60C2×C11×#41—22no—
61C2×C11×#41—24no—
62C2×C11×#41—24no—
63C2×C11×#41C2314yes—
64C22×Q8×C11C2311yescharacteristic
65C22×D4×C11—21no—
66C22×D4×C11C2311yescharacteristic
67C23×C4×C11—21no—
68C23×C4×C11—21no—
69C23×C4×C11C2311yescharacteristic
70C22×C22⋊D11—21no—
71C22×C22⋊D11—21no—
72C22×C22⋊D11—21no—
73C23×Dic11D411yescharacteristic
74C23×Dic11D411yescharacteristic
75C2×#4339—22no—
76C2×#4339—24no—
77C2×#4339—24no—
78C2×#4339C2314yes—
79C22×D44—21no—
80C22×D44—22no—
81C22×D44—24no—
82C22×D44D418yescomplemented
83C22×D44C2311yescharacteristic
84C22×D44C2312yes—
85C22×D44C2314yes—
86C22×C4×D11—21no—
87C22×C4×D11—22no—
88C22×C4×D11—22no—
89C22×C4×D11—28no—
90C22×C4×D11—48no—
91C22×Dic22C2311yescharacteristic
92C2×C11×M16—24no—
93C2×C11×M16C2314yes—
94C22×C8×C11C2312yes—
95C2×C11×C4⋊C4—21no—
96C2×C11×C4⋊C4—22no—
97C2×C11×C4⋊C4C2312yes—
98C2×C11×C4⋊C4C2314yes—
99C2×C22⋊Dic11—21no—
100C2×C22⋊Dic11—21no—
101#67002—232no—
102#67000—22no—
103#67000C2314yescomplemented
104#66997—22no—
105#66997C2314yescomplemented
106C2×#4325—28no—
107C2×#4325C2318yes—
108#66993—22no—
109#66993C2314yescomplemented
110#66992—28no—
111#66992—28no—
112#66989—22no—
113#66989C2314yescomplemented
114C2×#4323—28no—
115C2×#4323C2318yes—
116C4×C22⋊D11—28no—
117C4×C22⋊D11—28no—
118C2×(C2×D11)⋊C4—22no—
119C2×(C2×D11)⋊C4—22no—
120C2×(C2×D11)⋊C4—28no—
121C2×(C2×D11)⋊C4—21no—
122C2×(C2×D11)⋊C4—21no—
123C2×Dic11⋊C4—21no—
124C2×Dic11⋊C4—21no—
125C2×C4×Dic11D411yescharacteristic
126C2×C4×Dic11D411yescharacteristic
127C2×C4×Dic11D414yes—
128C2×C4×Dic11C2314yes—
129C2×C4×Dic11C2311yescharacteristic
130C2×C4×Dic11C2311yescharacteristic
131C2×#4318—24no—
132C2×#4318C2314yes—
133C22×C11⋊C8C2312yes—
134#66961—232no—
135C2×D88—28no—
136C2×D88C2318yes—
137C2×#4314—28no—
138C2×#4314C2318yes—
139#66946—24no—
140#66946—24no—
141#66946—28no—
142#66946—28no—
143#66946C2318yes—
144#66946C2318yes—
145C11×#103C2318yescomplemented
146C11×#102C2318yescomplemented
147Dic11⋊C8C2318yescomplemented
148Dic11⋊C8C2318yescomplemented
149#66874C2318yescomplemented
150#66873C2318yescomplemented
151C2×#3036—111nomaximal, Sylow
152C24×C11—21no—
153C24×C11C2×D411yescharacteristic
154C23×D11—28no—
155C23×D11—22no—
156C23×D11—24no—
157C23×D11—21no—
158C23×D11—44no—
159C23×D11—44no—
160C11×#41—28no—
161C11×#41—28no—
162C11×#41—48no—
163C2×Q8×C11—21no—
164C2×Q8×C11—22no—
165C2×Q8×C11—22no—
166C2×Q8×C11C2412yes—
167C2×D4×C11—24no—
168C2×D4×C11—22no—
169C2×D4×C11—21no—
170C2×D4×C11—22no—
171C2×D4×C11—44no—
172C2×D4×C11C2412yes—
173C22×C4×C11—21no—
174C22×C4×C11—24no—
175C22×C4×C11—22no—
176C22×C4×C11—24no—
177C22×C4×C11—44no—
178C22×C4×C11—44no—
179C22×C4×C11C2×D411yescharacteristic
180C22×C4×C11C2×D412yes—
181C22×C4×C11C2×D414yes—
182C22×C4×C11#4114yes—
183C22×C4×C11C2411yescharacteristic
184C22×C4×C11C2412yes—
185C2×C22⋊D11—24no—
186C2×C22⋊D11—24no—
187C2×C22⋊D11—24no—
188C2×C22⋊D11—44no—
189C2×C22⋊D11—44no—
190C2×C22⋊D11—44no—
191C22×Dic11—24no—
192C22×Dic11—21no—
193C22×Dic11—42no—
194C22×Dic11C2×D411yescharacteristic
195C22×Dic11C2×D411yescharacteristic
196C22×Dic11C2×D411yescharacteristic
197C22×Dic11C2×D414yes—
198C22×Dic11C2×D414yes—
199C22×Dic11C2×D411yescharacteristic
200#4339—28no—
201#4339—28no—
202#4339—48no—
203C2×D44—28no—
204C2×D44—216no—
205C2×D44—22no—
206C2×D44—24no—
207C2×D44—21no—
208C2×D44—22no—
209C2×D44—24no—
210C2×D44—28no—
211C2×D44—22no—
212C2×D44C2×D418yes—
213C2×D44C2×D4116yescomplemented
214C2×D44C2412yes—
215C2×D44C2414yes—
216C2×C4×D11—28no—
217C2×C4×D11—28no—
218C2×C4×D11—24no—
219C2×C4×D11—432no—
220C2×C4×D11—48no—
221C2×C4×D11—48no—
222C2×C4×D11—44no—
223C2×Dic22—22no—
224C2×Dic22—21no—
225C2×Dic22—22no—
226C2×Dic22C2412yes—
227C11×M16—28no—
228C2×C8×C11—24no—
229C2×C8×C11C2414yes—
230C11×C4⋊C4—22no—
231C11×C4⋊C4—24no—
232C11×C4⋊C4C2414yes—
233C22⋊Dic11—24no—
234C22⋊Dic11—24no—
235#4325—216no—
236#4323—216no—
237(C2×D11)⋊C4—28no—
238(C2×D11)⋊C4—28no—
239(C2×D11)⋊C4—24no—
240(C2×D11)⋊C4—24no—
241Dic11⋊C4—24no—
242Dic11⋊C4—24no—
243C4×Dic11C2×D414yes—
244C4×Dic11C2×D414yes—
245C4×Dic11C2×D412yes—
246C4×Dic11C2×D412yes—
247C4×Dic11C2412yes—
248C4×Dic11C2412yes—
249#4318—28no—
250C2×C11⋊C8—24no—
251C2×C11⋊C8C2414yes—
252D88—216no—
253#4314—216no—
254C22×AGL(1,ℤ/8)—111no—
255C22×AGL(1,ℤ/8)—111no—
256C2×#532—111no—
257C22×C4×D4—111no—
258#3036—1116no—
259C2×#463—112no—
260C2×#463—112no—
261C2×#461—112no—
262C2×#459—112no—
263C2×#423—111no—
264C2×#417—111no—
265C2×#417D1111yescharacteristic, complemented
266C23×C11—22no—
267C23×C11—22no—
268C23×C11—22no—
269C23×C11—42no—
270C23×C11—42no—
271C23×C11—42no—
272C23×C11#12114yes—
273C23×C11C22×D412yes—
274C23×C11C22×D411yescharacteristic
275C22×D11—28no—
276C22×D11—216no—
277C22×D11—24no—
278C22×D11—22no—
279C22×D11—48no—
280C22×D11—432no—
281C22×D11—48no—
282C22×D11—44no—
283C22×D11—44no—
284C22×D11—42no—
285C22×D11—42no—
286C22×D11—42no—
287Q8×C11—22no—
288Q8×C11—22no—
289Q8×C11—42no—
290D4×C11—22no—
291D4×C11—22no—
292D4×C11—48no—
293D4×C11—42no—
294C2×C4×C11—22no—
295C2×C4×C11—24no—
296C2×C4×C11—48no—
297C2×C4×C11—42no—
298C2×C4×C11—44no—
299C2×C4×C11—48no—
300C2×C4×C11#12114yes—
301C2×C4×C11#12118yes—
302C2×C4×C11C22×D411yescharacteristic
303C2×C4×C11C22×D412yes—
304C2×C4×C11C22×D412yes—
305C2×C4×C11C22×D414yes—
306C2×C4×C11C2×#4112yes—
307C2×C4×C11C2×#4114yes—
308C2×C4×C11C2511yescharacteristic
309C22⋊D11—48no—
310C22⋊D11—48no—
311C22⋊D11—48no—
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—28no—
316C2×Dic11—22no—
317C2×Dic11—44no—
318C2×Dic11—42no—
319C2×Dic11AGL(1,ℤ/8)14yescomplemented
320C2×Dic11C22×D412yes—
321C2×Dic11C22×D412yes—
322C2×Dic11C22×D412yes—
323C2×Dic11C22×D412yes—
324D44—28no—
325D44—216no—
326D44—22no—
327D44—24no—
328D44—22no—
329D44—42no—
330D44C22×D418yes—
331C4×D11—416no—
332C4×D11—48no—
333C4×D11—416no—
334Dic22—22no—
335Dic22—22no—
336Dic22—42no—
337C8×C11—24no—
338C11⋊C8—24no—
339C22×#41—111no—
340C22×#41C2×D1111yescharacteristic
341C23×D4—111no—
342C24×C4—221no—
343C2×AGL(1,ℤ/8)—118no—
344C2×AGL(1,ℤ/8)—118no—
345C2×AGL(1,ℤ/8)—228no—
346C2×AGL(1,ℤ/8)—228no—
347C22×SD16—112no—
348C22×SD16—112no—
349C22×D8—112no—
350C22×D8—112no—
351C22×M16—111no—
352C22×M16C2×D1111yescharacteristic
353#532—118no—
354#532—224no—
355C2×C4⋊Q8—111no—
356C2×#127—111no—
357C2×#124—111no—
358C2×#124—111no—
359C2×#121—221no—
360C2×#121—221no—
361C2×C4×D4—112no—
362C2×C4×D4—112no—
363C2×C4×D4—118no—
364C2×C4×D4—221no—
365C2×C4×D4—221no—
366C2×C4×D4—224no—
367C2×C4×D4—221no—
368C2×C4×D4—221no—
369C22×C4⋊C4C2×D1111yescharacteristic
370C22×C22⋊C4—221no—
371C22×C42—111no—
372#463—1116no—
373#463—1116no—
374#461—1116no—
375#459—1116no—
376#423—118no—
377C2×C4⋊C8—112no—
378C2×C4⋊C8—112no—
379#417—118no—
380#417C2×D1118yescomplemented
381C2×#103—112no—
382C2×#103C2×D1112yescomplemented
383C2×#102—112no—
384C2×#102C2×D1112yescomplemented
385C22×C11—28no—
386C22×C11—22no—
387C22×C11—22no—
388C22×C11—42no—
389C22×C11—42no—
390C22×C11—42no—
391C22×C11—84no—
392C22×C11C2×#12114yes—
393C22×C11C2×#12112yes—
394C22×C11C2×AGL(1,ℤ/8)12yes—
395C22×C11#57512yes—
396C22×C11C23×D411yescharacteristic
397C2×D11—28no—
398C2×D11—432no—
399C2×D11—416no—
400C2×D11—44no—
401C2×D11—44no—
402C2×D11—42no—
403C2×D11—42no—
404C2×D11—42no—
405C2×D11—84no—
406C4×C11—42no—
407C4×C11—44no—
408C4×C11C2×#12114yes—
409C4×C11C2×#12112yes—
410C4×C11C23×D411yescharacteristic
411C4×C11C22×#4111yescharacteristic
412Dic11—22no—
413Dic11—22no—
414Dic11—22no—
415Dic11—42no—
416Dic11C2×AGL(1,ℤ/8)14yescomplemented
417C25—221no—
418C2×#41—22no—
419C2×#41—24no—
420C2×#41—24no—
421C2×#41—114no—
422C2×#41—222no—
423C2×#41—224no—
424C2×#41—224no—
425C2×#41C22×D1114yes—
426C22×Q8—111no—
427C22×Q8C22×D1111yescharacteristic
428C22×D4—21no—
429C22×D4—118no—
430C22×D4—112no—
431C22×D4—114no—
432C22×D4—111no—
433C22×D4—221no—
434C22×D4—221no—
435C22×D4—221no—
436C22×D4—224no—
437C22×D4—222no—
438C22×D4—221no—
439C22×D4C22×D1111yescharacteristic
440C23×C4—21no—
441C23×C4—21no—
442C23×C4—111no—
443C23×C4—111no—
444C23×C4—228no—
445C23×C4—222no—
446C23×C4—222no—
447C23×C4—221no—
448C23×C4—448no—
449C23×C4C22×D1111yescharacteristic
450AGL(1,ℤ/8)—2232no—
451AGL(1,ℤ/8)—2232no—
452C2×SD16—118no—
453C2×SD16—118no—
454C2×SD16—228no—
455C2×SD16—228no—
456C2×D8—118no—
457C2×D8—118no—
458C2×D8—228no—
459C2×D8—228no—
460C2×M16—24no—
461C2×M16—114no—
462C2×M16—224no—
463C2×M16C22×D1114yes—
464C22×C8—112no—
465C22×C8C22×D1112yes—
466C4⋊Q8—114no—
467C4⋊Q8—222no—
468#127—114no—
469#127—222no—
470#124—114no—
471#124—114no—
472#124—222no—
473#124—222no—
474#121—228no—
475#121—228no—
476C4×D4—118no—
477C4×D4—118no—
478C4×D4—228no—
479C4×D4—228no—
480C4×D4—224no—
481C4×D4—224no—
482C4×D4—228no—
483C4×D4—228no—
484C2×C4⋊C4—22no—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—221no—
487C2×C4⋊C4—221no—
488C2×C4⋊C4C22×D1112yes—
489C2×C4⋊C4C22×D1114yes—
490C2×C22⋊C4—228no—
491C2×C22⋊C4—222no—
492C2×C22⋊C4—222no—
493C2×C22⋊C4—221no—
494C2×C22⋊C4—221no—
495C2×C22⋊C4—221no—
496C2×C22⋊C4—221no—
497C2×C42—111no—
498C2×C42—111no—
499C2×C42—114no—
500C2×C42—111no—
501C2×C42—111no—
502C2×C42—114no—
503C4⋊C8—118no—
504C4⋊C8—118no—
505#103—118no—
506#103C22×D1118yescomplemented
507#102—118no—
508#102C22×D1118yescomplemented
509C2×C11—24no—
510C2×C11—82no—
511C2×C11#303614yescomplemented
512C2×C11C22×#12111yescharacteristic
513C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
514C2×C11C2×#57511yescharacteristic
515D11—48no—
516D11—82no—
517C24—21no—
518C24—228no—
519C24—224no—
520C24—222no—
521C24—221no—
522C24—444no—
523C24—444no—
524C24D4×D1111yescharacteristic
525#41—28no—
526#41—28no—
527#41—48no—
528#41—228no—
529#41—228no—
530#41—448no—
531C2×Q8—21no—
532C2×Q8—22no—
533C2×Q8—22no—
534C2×Q8—112no—
535C2×Q8—221no—
536C2×Q8—222no—
537C2×Q8—222no—
538C2×Q8C23×D1112yes—
539C2×D4—24no—
540C2×D4—22no—
541C2×D4—22no—
542C2×D4—21no—
543C2×D4—44no—
544C2×D4—118no—
545C2×D4—1116no—
546C2×D4—114no—
547C2×D4—112no—
548C2×D4—224no—
549C2×D4—224no—
550C2×D4—224no—
551C2×D4—228no—
552C2×D4—2216no—
553C2×D4—224no—
554C2×D4—228no—
555C2×D4—222no—
556C2×D4—224no—
557C2×D4—222no—
558C2×D4—222no—
559C2×D4—221no—
560C2×D4—444no—
561C2×D4—444no—
562C2×D4—444no—
563C2×D4C23×D1112yes—
564C22×C4—24no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—24no—
568C22×C4—44no—
569C22×C4—44no—
570C22×C4—111no—
571C22×C4—114no—
572C22×C4—111no—
573C22×C4—111no—
574C22×C4—111no—
575C22×C4—114no—
576C22×C4—228no—
577C22×C4—228no—
578C22×C4—224no—
579C22×C4—221no—
580C22×C4—224no—
581C22×C4—448no—
582C22×C4—4432no—
583C22×C4—448no—
584C22×C4—442no—
585C22×C4—444no—
586C22×C4#433914yes—
587C22×C4D4×D1112yes—
588C22×C4D4×D1111yescharacteristic
589C22×C4D4×D1114yes—
590C22×C4C23×D1112yes—
591C22×C4C23×D1111yescharacteristic
592SD16—2216no—
593SD16—2216no—
594D8—2216no—
595D8—2216no—
596M16—28no—
597M16—228no—
598C2×C8—24no—
599C2×C8—114no—
600C2×C8—224no—
601C2×C8C23×D1114yes—
602C4⋊C4—24no—
603C4⋊C4—22no—
604C4⋊C4—224no—
605C4⋊C4—224no—
606C4⋊C4C23×D1114yes—
607C22⋊C4—228no—
608C22⋊C4—228no—
609C22⋊C4—224no—
610C22⋊C4—224no—
611C22⋊C4—224no—
612C22⋊C4—224no—
613C42—114no—
614C42—114no—
615C42—112no—
616C42—112no—
617C42—112no—
618C42—112no—
619C11C2×#303611yescharacteristic, complemented, Sylow
620C23—22no—
621C23—22no—
622C23—22no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—2216no—
627C23—228no—
628C23—224no—
629C23—222no—
630C23—448no—
631C23—4432no—
632C23—448no—
633C23—444no—
634C23—444no—
635C23—442no—
636C23—442no—
637C23—442no—
638C23#6693714yes—
639C23C2×D4×D1112yes—
640C23C2×D4×D1111yescharacteristic
641Q8—22no—
642Q8—22no—
643Q8—42no—
644Q8—222no—
645Q8—222no—
646Q8—442no—
647D4—22no—
648D4—22no—
649D4—48no—
650D4—42no—
651D4—118no—
652D4—2216no—
653D4—228no—
654D4—224no—
655D4—222no—
656D4—222no—
657D4—448no—
658D4—448no—
659D4—448no—
660D4—442no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—48no—
664C2×C4—42no—
665C2×C4—44no—
666C2×C4—48no—
667C2×C4—114no—
668C2×C4—112no—
669C2×C4—112no—
670C2×C4—112no—
671C2×C4—112no—
672C2×C4—228no—
673C2×C4—222no—
674C2×C4—222no—
675C2×C4—222no—
676C2×C4—222no—
677C2×C4—4416no—
678C2×C4—4416no—
679C2×C4—444no—
680C2×C4—442no—
681C2×C4—448no—
682C2×C4#6693714yes—
683C2×C4#6693718yes—
684C2×C4C2×#433912yes—
685C2×C4C2×#433914yes—
686C2×C4C2×D4×D1112yes—
687C2×C4C2×D4×D1111yescharacteristic
688C2×C4C2×D4×D1112yes—
689C2×C4C2×D4×D1114yes—
690C2×C4C24×D1111yescharacteristic
691C8—24no—
692C8—224no—
693C22—28no—
694C22—22no—
695C22—22no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—84no—
700C22—228no—
701C22—4432no—
702C22—4416no—
703C22—444no—
704C22—444no—
705C22—442no—
706C22—442no—
707C22—442no—
708C22—884no—
709C22C2×#6693714yes—
710C22C2×#6693712yes—
711C22D11×AGL(1,ℤ/8)12yes—
712C22#1062330812yes—
713C22C22×D4×D1111yescharacteristic
714C4—44no—
715C4—42no—
716C4—114no—
717C4—222no—
718C4—222no—
719C4—222no—
720C4—442no—
721C4C2×#6693714yes—
722C4C2×#6693712yes—
723C4C22×#433911yescharacteristic
724C4C22×D4×D1111yescharacteristic
725C2—24no—
726C2—82no—
727C2—448no—
728C2—882no—
729C2#1307807914yesdirect product factor
730C2C22×#6693711yescharacteristic
731C2C2×D11×AGL(1,ℤ/8)11yescharacteristic
732C2C2×#1062330811yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#417C2
socleC23×C11C22×D4
hypercenterC2×#417D11
hypocenterC11C2×#3036
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#417

Complements

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

NH ≅ G/Ntype
1. C22×#66961C2semidirect
2. C22×#67002C2semidirect
3. C2×#10623363C2semidirect
4. C22×#66946C2semidirect
5. #13078079C2direct (N × H)
6. C2×#10622432C2semidirect
7. C2×#10622400C2semidirect
8. C2×#10622431C2semidirect
9. C2×#10622399C2semidirect
10. C2×#10622731C2semidirect
11. C2×#10622579C2semidirect
12. C2×C11×#417C2semidirect
20. #10623363C22semidirect
22. C2×#67002C22semidirect
23. C2×#67000C22semidirect
24. C2×#66997C22semidirect
26. C2×#66993C22semidirect
29. C2×#66989C22semidirect
37. C2×#66961C22semidirect
45. C2×#66946C22semidirect
46. C11×#417C22semidirect
47. C2×C11×#103C22semidirect
48. C2×C11×#102C22semidirect
49. #10622731C22semidirect
50. C2×Dic11⋊C8C22semidirect
51. C2×Dic11⋊C8C22semidirect
52. C2×#66874C22semidirect
53. #10622579C22semidirect
54. C2×#66873C22semidirect
55. #10622432C22semidirect
56. #10622431C22semidirect
57. #10622400C22semidirect
58. #10622399C22semidirect
82. C22×D44D4semidirect
103. #67000C23semidirect
105. #66997C23semidirect
109. #66993C23semidirect
113. #66989C23semidirect
145. C11×#103C23semidirect
146. C11×#102C23semidirect
147. Dic11⋊C8C23semidirect
148. Dic11⋊C8C23semidirect
149. #66874C23semidirect
150. #66873C23semidirect
213. C2×D44C2×D4semidirect
265. C2×#417D11semidirect
319. C2×Dic11AGL(1,ℤ/8)semidirect
380. #417C2×D11semidirect
382. C2×#103C2×D11semidirect
384. C2×#102C2×D11semidirect
416. Dic11C2×AGL(1,ℤ/8)semidirect
506. #103C22×D11semidirect
508. #102C22×D11semidirect
511. C2×C11#3036semidirect
619. C11C2×#3036semidirect
729. C2#13078079direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669612
C22×#670022
C2×#106233632
C22×#669462
#130780792
C2×#106224322
C2×#106224002
C2×#106224312
C2×#106223992
C2×#106227312
C2×#106225792
C2×C11×#4172
C2×#303611