Finite Group Databasebeta

← #15638600

Subgroups — #15638600

Order 2816.

2514 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
1#13082380C211yesmaximal, characteristic, complemented
2#13080577C218yesmaximal, complemented
3#13080097C218yesmaximal, complemented
4#13079603C212yesmaximal, complemented
5#13079413C212yesmaximal, complemented
6#13079369C212yesmaximal, complemented
7#13078707C212yesmaximal, complemented
8#13077868C212yesmaximal, complemented
9C2×#10622830C212yesmaximal, complemented
10#13077645C211yesmaximal, characteristic, complemented
11C2×C11×#546C211yesmaximal, characteristic, complemented
12C22×C11×#41C2211yescharacteristic, complemented
13C23×D4×C11C2211yescharacteristic, complemented
14C2×#67037—21no—
15C11×#546—24no—
16C11×#546C2218yescomplemented
17C2×C11×#124C2211yescharacteristic, complemented
18C2×C11×#123—21no—
19C2×C11×C22⋊Q8C2211yescharacteristic, complemented
20C2×C11×#121—21no—
21C2×C11×#121C2211yescharacteristic, complemented
22C2×C11×#120—21no—
23C2×C4×D4×C11C2211yescharacteristic
24C2×C4×D4×C11C2211yescharacteristic, complemented
25C22×C11×C22⋊C4—21no—
26C2×#67002C2214yescomplemented
27C22×#4323C2214yescomplemented
28C2×#66983C2212yes—
29C2×#66983C2212yescomplemented
30#10623086C2214yescomplemented
31#10623085—24no—
32D4×D44C2214yescomplemented
33#10623041—21no—
34#10623024—21no—
35#10623024—21no—
36#10623008C2212yescomplemented
37#10622851C2218yescomplemented
38#10622845C2214yescomplemented
39#10622840C2214yescomplemented
40#10622830C2218yescomplemented
41#10622830C2214yescomplemented
42#10622830C2214yescomplemented
43C2×#66896C2214yescomplemented
44#10622820C2212yescomplemented
45C2×C22⋊(C11⋊C8)C2212yescomplemented
46#10622671C2214yescomplemented
47#10622670C2218yescomplemented
48#10622668C2214yescomplemented
49#10622661C2218yescomplemented
50#10622659C2214yescomplemented
51#10622656C2214yescomplemented
52#10622652C2218yescomplemented
53#10622649C2214yescomplemented
54#10622647C2214yescomplemented
55#10622628C2214yescomplemented
56#10622627C2218yescomplemented
57#10622624C2218yescomplemented
58#10622621C2214yescomplemented
59#10622581C2214yescomplemented
60#10622539C2212yescomplemented
61C25×C11—21no—
62C2×C11×#41—22no—
63C2×C11×#41—44no—
64C2×C11×#41C2314yes—
65C22×Q8×C11C2311yescharacteristic
66C22×D4×C11—21no—
67C22×D4×C11—21no—
68C22×D4×C11—21no—
69C22×D4×C11—22no—
70C22×D4×C11—44no—
71C22×D4×C11D411yescharacteristic
72C22×D4×C11C2311yescharacteristic
73C22×D4×C11C2314yes—
74C22×D4×C11C2311yescharacteristic
75C23×C4×C11—21no—
76C23×C4×C11—21no—
77C23×C4×C11C2311yescharacteristic
78C23×C4×C11C2311yescharacteristic
79C22×C22⋊D11—22no—
80C22×C22⋊D11—22no—
81#67037—48no—
82C2×#4341—24no—
83C2×D4×D11—24no—
84C2×#4339—22no—
85C22×D44C2312yes—
86C22×D44C2312yescomplemented
87C11×#124—22no—
88C11×#124C2314yes—
89C11×#123—28no—
90C11×C22⋊Q8—22no—
91C11×C22⋊Q8C2314yes—
92C11×#121—22no—
93C11×#121—28no—
94C11×#121C2314yes—
95C11×#120—28no—
96C4×D4×C11—22no—
97C4×D4×C11D414yes—
98C4×D4×C11C2314yes—
99C4×D4×C11C2314yes—
100C2×C11×C4⋊C4—21no—
101C2×C11×C4⋊C4D411yescharacteristic
102C2×C11×C4⋊C4C2311yescharacteristic
103C2×C11×C22⋊C4—21no—
104C2×C11×C22⋊C4—21no—
105C2×C11×C22⋊C4—21no—
106C2×C11×C22⋊C4—21no—
107C2×C11×C22⋊C4—21no—
108C2×C11×C22⋊C4—28no—
109C2×C11×C22⋊C4D411yescharacteristic
110C2×C11×C22⋊C4D411yescharacteristic
111C2×C42×C11C2311yescharacteristic
112#67002—48no—
113C2×#4325C2318yescomplemented
114C2×#4323—48no—
115C2×#4323C2318yes—
116C2×#4323C2318yes—
117#66983—22no—
118#66983—22no—
119#66983—22no—
120#66983—22no—
121#66983—22no—
122#66983C2314yes—
123#66983C2314yes—
124#66983C2314yescomplemented
125C2×(C2×D11)⋊C4—22no—
126C2×(C2×D11)⋊C4—22no—
127C2×C4⋊Dic11C2312yes—
128C2×C4⋊Dic11C2312yescomplemented
129C2×#4318C2314yescomplemented
130C22×C11⋊C8C2314yes—
131#66950—24no—
132#66948—24no—
133#66939—24no—
134#66939—24no—
135#66935—24no—
136#66935—24no—
137#66928—22no—
138#66927C2312yescomplemented
139C4×D44—22no—
140C4×D44C2314yescomplemented
141#66922C2312yescomplemented
142#66899C2318yescomplemented
143#66896C2318yes—
144#66896C2318yes—
145C22⋊(C11⋊C8)C2314yes—
146C22⋊(C11⋊C8)C2314yes—
147C22⋊(C11⋊C8)C2314yescomplemented
148#66873C2318yescomplemented
149#66872C2318yescomplemented
150C4⋊(C11⋊C8)C2314yescomplemented
151#66867C2314yescomplemented
152#61569—111nomaximal, Sylow
153C24×C11—21no—
154C24×C11—21no—
155C24×C11—24no—
156C24×C11—44no—
157C24×C11—44no—
158C24×C11—82no—
159C24×C11C2×D411yescharacteristic
160C24×C11C2×D411yescharacteristic
161C23×D11—22no—
162C23×D11—22no—
163C11×#41—28no—
164C11×#41—44no—
165C11×#41—48no—
166C2×Q8×C11—21no—
167C2×Q8×C11—42no—
168C2×Q8×C11C2412yes—
169C2×D4×C11—24no—
170C2×D4×C11—24no—
171C2×D4×C11—28no—
172C2×D4×C11—24no—
173C2×D4×C11—24no—
174C2×D4×C11—21no—
175C2×D4×C11—24no—
176C2×D4×C11—21no—
177C2×D4×C11—44no—
178C2×D4×C11—42no—
179C2×D4×C11—48no—
180C2×D4×C11—44no—
181C2×D4×C11—44no—
182C2×D4×C11—82no—
183C2×D4×C11C2×D414yes—
184C2×D4×C11C2412yes—
185C2×D4×C11C2412yes—
186C22×C4×C11—21no—
187C22×C4×C11—21no—
188C22×C4×C11—24no—
189C22×C4×C11—24no—
190C22×C4×C11—42no—
191C22×C4×C11—42no—
192C22×C4×C11—44no—
193C22×C4×C11—82no—
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2×D412yes—
196C22×C4×C11C2×D412yes—
197C22×C4×C11C2×D411yescharacteristic
198C22×C4×C11C2×D411yescharacteristic
199C22×C4×C11C2×D411yescharacteristic
200C22×C4×C11C2411yescharacteristic
201C22×C4×C11C2412yes—
202C22×C4×C11C2412yes—
203C2×C22⋊D11—24no—
204C2×C22⋊D11—24no—
205C2×C22⋊D11—24no—
206C2×C22⋊D11—48no—
207C2×C22⋊D11—48no—
208C22×Dic11—22no—
209C22×Dic11—22no—
210#4341—416no—
211D4×D11—416no—
212#4339—48no—
213C2×D44—22no—
214C2×D44—22no—
215C2×D44—22no—
216C2×D44—22no—
217C2×D44—44no—
218C2×D44—44no—
219C2×D44C2414yes—
220C2×C4×D11—24no—
221C2×Dic22—22no—
222C11×C4⋊C4—24no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4C2×D414yes—
225C11×C4⋊C4C2412yes—
226C11×C22⋊C4—24no—
227C11×C22⋊C4—24no—
228C11×C22⋊C4—24no—
229C11×C22⋊C4—24no—
230C11×C22⋊C4—24no—
231C11×C22⋊C4C2×D414yes—
232C11×C22⋊C4C2×D414yes—
233C42×C11C2×D412yes—
234C42×C11C2412yes—
235#4325—48no—
236#4323—216no—
237#4323—48no—
238(C2×D11)⋊C4—24no—
239(C2×D11)⋊C4—24no—
240(C2×D11)⋊C4—24no—
241(C2×D11)⋊C4—24no—
242C4⋊Dic11—22no—
243C4⋊Dic11—22no—
244C4⋊Dic11—22no—
245C4⋊Dic11C2414yes—
246#4318—44no—
247C2×C11⋊C8—44no—
248C2×C11⋊C8C2418yes—
249#3496—111no—
250C2×#546D1111yescharacteristic, complemented
251#3306—118no—
252#3264—118no—
253#3213—112no—
254#3192—112no—
255#3187—112no—
256#3109—112no—
257#3006—112no—
258C2×#447—112no—
259#2973—111no—
260C23×C11—24no—
261C23×C11—22no—
262C23×C11—22no—
263C23×C11—22no—
264C23×C11—41no—
265C23×C11—41no—
266C23×C11—41no—
267C23×C11—41no—
268C23×C11—48no—
269C23×C11—42no—
270C23×C11—42no—
271C23×C11—42no—
272C23×C11—42no—
273C23×C11—48no—
274C23×C11—42no—
275C23×C11—84no—
276C23×C11—816no—
277C23×C11AGL(1,ℤ/8)14yescomplemented
278C23×C11C22×D412yes—
279C23×C11C22×D412yes—
280C23×C11C22×D411yescharacteristic
281C22×D11—24no—
282C22×D11—44no—
283C22×D11—44no—
284C22×D11—82no—
285C22×D11—82no—
286C22×D11—82no—
287C22×D11—82no—
288Q8×C11—24no—
289Q8×C11—42no—
290D4×C11—24no—
291D4×C11—28no—
292D4×C11—22no—
293D4×C11—24no—
294D4×C11—48no—
295D4×C11—42no—
296D4×C11—48no—
297D4×C11—84no—
298D4×C11H(5,𝔽2)14yescomplemented
299C2×C4×C11—22no—
300C2×C4×C11—24no—
301C2×C4×C11—24no—
302C2×C4×C11—22no—
303C2×C4×C11—22no—
304C2×C4×C11—22no—
305C2×C4×C11—41no—
306C2×C4×C11—42no—
307C2×C4×C11—41no—
308C2×C4×C11—42no—
309C2×C4×C11—41no—
310C2×C4×C11—48no—
311C2×C4×C11—42no—
312C2×C4×C11—42no—
313C2×C4×C11—84no—
314C2×C4×C11C22×D412yes—
315C2×C4×C11C22×D412yes—
316C2×C4×C11C22×D412yes—
317C2×C4×C11C22×D411yescharacteristic
318C2×C4×C11C22×D412yes—
319C2×C4×C11C2511yescharacteristic
320C22⋊D11—48no—
321C22⋊D11—48no—
322C22⋊D11—48no—
323C2×Dic11—24no—
324C2×Dic11—44no—
325C2×Dic11—44no—
326D44—28no—
327D44—44no—
328D44—82no—
329D44—82no—
330D44—82no—
331C4×D11—48no—
332Dic22—44no—
333C11⋊C8—28no—
334C2×H(5,𝔽2)—221no—
335C22×#41C2×D1111yescharacteristic, complemented
336C23×D4C2×D1111yescharacteristic, complemented
337C2×AGL(1,ℤ/8)—114no—
338C22×D8—114no—
339#547—114no—
340#546—24no—
341#546—224no—
342#546C2×D1118yescomplemented
343D42—114no—
344#537—221no—
345#534—221no—
346#534—221no—
347#532—112no—
348C2×#124C2×D1111yescharacteristic, complemented
349C2×#123—21no—
350C2×C22⋊Q8C2×D1111yescharacteristic, complemented
351C2×#121—21no—
352C2×#121—112no—
353C2×#121—112no—
354C2×#121C2×D1111yescharacteristic, complemented
355C2×#120—21no—
356C2×C4×D4C2×D1111yescharacteristic
357C2×C4×D4C2×D1111yescharacteristic, complemented
358C22×C22⋊C4—21no—
359#496—114no—
360#489—114no—
361#483—114no—
362#481—114no—
363#481—114no—
364#476—114no—
365#469—118no—
366#465—118no—
367#463—118no—
368#459—114no—
369#450—114no—
370#449—118no—
371#448—114no—
372#447—114no—
373#447—114no—
374#447—118no—
375#447—114no—
376#442—118no—
377#435—118no—
378#432—112no—
379#417—114no—
380C2×#102—114no—
381#407—112no—
382C2×C22⋊C8—112no—
383C22×C11—21no—
384C22×C11—22no—
385C22×C11—21no—
386C22×C11—22no—
387C22×C11—22no—
388C22×C11—22no—
389C22×C11—24no—
390C22×C11—22no—
391C22×C11—44no—
392C22×C11—48no—
393C22×C11—42no—
394C22×C11—42no—
395C22×C11—42no—
396C22×C11—42no—
397C22×C11—42no—
398C22×C11—82no—
399C22×C11—816no—
400C22×C11—84no—
401C22×C11C2×AGL(1,ℤ/8)12yes—
402C22×C11C2×AGL(1,ℤ/8)14yes—
403C22×C11C23×D411yescharacteristic
404C2×D11—44no—
405C2×D11—44no—
406C2×D11—44no—
407C2×D11—164no—
408C2×D11—164no—
409C4×C11—22no—
410C4×C11—22no—
411C4×C11—21no—
412C4×C11—22no—
413C4×C11—22no—
414C4×C11—42no—
415C4×C11—42no—
416C4×C11C2×H(5,𝔽2)12yes—
417Dic11—44no—
418C25—21no—
419H(5,𝔽2)—448no—
420C2×#41—22no—
421C2×#41—44no—
422C2×#41—224no—
423C2×#41—222no—
424C2×#41C22×D1114yes—
425C22×Q8C22×D1111yescharacteristic
426C22×D4—21no—
427C22×D4—21no—
428C22×D4—21no—
429C22×D4—22no—
430C22×D4—44no—
431C22×D4—112no—
432C22×D4—112no—
433C22×D4—222no—
434C22×D4—222no—
435C22×D4—224no—
436C22×D4C22⋊D1111yescharacteristic
437C22×D4C22×D1111yescharacteristic
438C22×D4C22×D1114yes—
439C22×D4C22×D1111yescharacteristic
440C23×C4—21no—
441C23×C4—21no—
442C23×C4C22×D1111yescharacteristic
443C23×C4C22×D1111yescharacteristic
444AGL(1,ℤ/8)—448no—
445C2×SD16—118no—
446C2×D8—118no—
447C2×D8—118no—
448C2×D8—448no—
449C2×M16—114no—
450C22×C8—114no—
451C4⋊Q8—112no—
452#127—112no—
453#124—22no—
454#124—222no—
455#124C22×D1114yes—
456#123—28no—
457#123—224no—
458#123—224no—
459C22⋊Q8—22no—
460C22⋊Q8—224no—
461C22⋊Q8C22×D1114yes—
462#121—22no—
463#121—28no—
464#121—114no—
465#121—114no—
466#121—114no—
467#121—222no—
468#121—222no—
469#121—222no—
470#121—222no—
471#121—222no—
472#121—224no—
473#121C22×D1114yes—
474#120—28no—
475#120—224no—
476#120—224no—
477C4×D4—22no—
478C4×D4—114no—
479C4×D4—222no—
480C4×D4C22⋊D1114yes—
481C4×D4C22×D1114yes—
482C4×D4C22×D1114yes—
483C2×C4⋊C4—21no—
484C2×C4⋊C4—112no—
485C2×C4⋊C4—112no—
486C2×C4⋊C4C22⋊D1111yescharacteristic
487C2×C4⋊C4C22×D1111yescharacteristic
488C2×C22⋊C4—21no—
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—21no—
492C2×C22⋊C4—21no—
493C2×C22⋊C4—28no—
494C2×C22⋊C4—222no—
495C2×C22⋊C4—222no—
496C2×C22⋊C4C22⋊D1111yescharacteristic
497C2×C22⋊C4C22⋊D1111yescharacteristic
498C2×C42C22×D1111yescharacteristic
499#106—118no—
500C4⋊C8—114no—
501#103—118no—
502#102—118no—
503#102—118no—
504#102—118no—
505C22⋊C8—114no—
506C22⋊C8—114no—
507C22⋊C8—114no—
508#97—114no—
509C2×C11—24no—
510C2×C11—22no—
511C2×C11—42no—
512C2×C11—44no—
513C2×C11—82no—
514C2×C11#348411yescharacteristic
515C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
516C2×C11#358511yescharacteristic
517D11—84no—
518C24—21no—
519C24—21no—
520C24—24no—
521C24—44no—
522C24—44no—
523C24—82no—
524C24—222no—
525C24—222no—
526C24C2×C22⋊D1111yescharacteristic
527C24C2×C22⋊D1111yescharacteristic
528#41—28no—
529#41—44no—
530#41—48no—
531#41—448no—
532#41—4416no—
533C2×Q8—21no—
534C2×Q8—42no—
535C2×Q8—222no—
536C2×Q8C23×D1112yes—
537C2×D4—24no—
538C2×D4—24no—
539C2×D4—28no—
540C2×D4—24no—
541C2×D4—24no—
542C2×D4—21no—
543C2×D4—24no—
544C2×D4—21no—
545C2×D4—44no—
546C2×D4—42no—
547C2×D4—48no—
548C2×D4—44no—
549C2×D4—44no—
550C2×D4—82no—
551C2×D4—114no—
552C2×D4—224no—
553C2×D4—224no—
554C2×D4—224no—
555C2×D4—222no—
556C2×D4—222no—
557C2×D4—222no—
558C2×D4—222no—
559C2×D4—444no—
560C2×D4—444no—
561C2×D4—4416no—
562C2×D4—448no—
563C2×D4—448no—
564C2×D4C2×C22⋊D1114yes—
565C2×D4C23×D1112yes—
566C2×D4C23×D1112yes—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—24no—
570C22×C4—24no—
571C22×C4—42no—
572C22×C4—42no—
573C22×C4—44no—
574C22×C4—82no—
575C22×C4—222no—
576C22×C4—222no—
577C22×C4—224no—
578C22×C4C2×C22⋊D1111yescharacteristic
579C22×C4C2×C22⋊D1111yescharacteristic
580C22×C4C2×C22⋊D1111yescharacteristic
581C22×C4C2×C22⋊D1112yes—
582C22×C4C2×C22⋊D1112yes—
583C22×C4C2×C22⋊D1111yescharacteristic
584C22×C4C23×D1111yescharacteristic
585C22×C4C23×D1112yes—
586C22×C4C23×D1112yes—
587SD16—448no—
588D8—2216no—
589D8—448no—
590M16—444no—
591C2×C8—118no—
592C2×C8—444no—
593C4⋊C4—24no—
594C4⋊C4—21no—
595C4⋊C4—114no—
596C4⋊C4—222no—
597C4⋊C4—222no—
598C4⋊C4—222no—
599C4⋊C4C2×C22⋊D1114yes—
600C4⋊C4C23×D1112yes—
601C22⋊C4—24no—
602C22⋊C4—24no—
603C22⋊C4—24no—
604C22⋊C4—24no—
605C22⋊C4—24no—
606C22⋊C4—224no—
607C22⋊C4—224no—
608C22⋊C4—224no—
609C22⋊C4—224no—
610C22⋊C4C2×C22⋊D1114yes—
611C22⋊C4C2×C22⋊D1114yes—
612C42C2×C22⋊D1112yes—
613C42C23×D1112yes—
614C11#6156911yescharacteristic, complemented, Sylow
615C23—24no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—48no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—48no—
629C23—42no—
630C23—84no—
631C23—816no—
632C23—224no—
633C23—444no—
634C23—444no—
635C23—882no—
636C23—882no—
637C23—882no—
638C23—882no—
639C23#6700214yescomplemented
640C23C22×C22⋊D1112yes—
641C23C22×C22⋊D1112yes—
642C23C22×C22⋊D1111yescharacteristic
643Q8—24no—
644Q8—42no—
645Q8—444no—
646D4—24no—
647D4—28no—
648D4—22no—
649D4—24no—
650D4—48no—
651D4—42no—
652D4—48no—
653D4—84no—
654D4—228no—
655D4—444no—
656D4—448no—
657D4—448no—
658D4—448no—
659D4—882no—
660D4—882no—
661D4—882no—
662D4#6703714yescomplemented
663C2×C4—22no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—48no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—84no—
678C2×C4—224no—
679C2×C4—448no—
680C2×C4—444no—
681C2×C4—444no—
682C2×C4C22×C22⋊D1111yescharacteristic
683C2×C4C22×C22⋊D1112yes—
684C2×C4C22×C22⋊D1112yes—
685C2×C4C22×C22⋊D1112yes—
686C2×C4C22×C22⋊D1112yes—
687C2×C4C24×D1111yescharacteristic
688C8—228no—
689C22—21no—
690C22—22no—
691C22—21no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—24no—
696C22—22no—
697C22—44no—
698C22—48no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—82no—
705C22—816no—
706C22—84no—
707C22—444no—
708C22—444no—
709C22—444no—
710C22—1764no—
711C22—1764no—
712C22C2×#6700212yes—
713C22C2×#6700214yes—
714C22C23×C22⋊D1111yescharacteristic
715C4—22no—
716C4—22no—
717C4—21no—
718C4—22no—
719C4—22no—
720C4—42no—
721C4—42no—
722C4—444no—
723C4C2×#6703712yes—
724C2—22no—
725C2—24no—
726C2—42no—
727C2—44no—
728C2—82no—
729C2—884no—
730C2#1308225111yescharacteristic
731C2C22×#6700211yescharacteristic
732C2#1308339611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#546C2
socleC22×C11C23×D4
hypercenterC2×#546D11
hypocenterC11#61569
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #13082380C2semidirect
2. #13080577C2semidirect
3. #13080097C2semidirect
4. #13079603C2semidirect
5. #13079413C2semidirect
6. #13079369C2semidirect
7. #13078707C2semidirect
8. #13077868C2semidirect
9. C2×#10622830C2semidirect
10. #13077645C2semidirect
11. C2×C11×#546C2semidirect
12. C22×C11×#41C22semidirect
13. C23×D4×C11C22semidirect
16. C11×#546C22semidirect
17. C2×C11×#124C22semidirect
19. C2×C11×C22⋊Q8C22semidirect
21. C2×C11×#121C22semidirect
24. C2×C4×D4×C11C22semidirect
26. C2×#67002C22semidirect
27. C22×#4323C22semidirect
29. C2×#66983C22semidirect
30. #10623086C22semidirect
32. D4×D44C22semidirect
36. #10623008C22semidirect
37. #10622851C22semidirect
38. #10622845C22semidirect
39. #10622840C22semidirect
40. #10622830C22semidirect
41. #10622830C22semidirect
42. #10622830C22semidirect
43. C2×#66896C22semidirect
44. #10622820C22semidirect
45. C2×C22⋊(C11⋊C8)C22semidirect
46. #10622671C22semidirect
47. #10622670C22semidirect
48. #10622668C22semidirect
49. #10622661C22semidirect
50. #10622659C22semidirect
51. #10622656C22semidirect
52. #10622652C22semidirect
53. #10622649C22semidirect
54. #10622647C22semidirect
55. #10622628C22semidirect
56. #10622627C22semidirect
57. #10622624C22semidirect
58. #10622621C22semidirect
59. #10622581C22semidirect
60. #10622539C22semidirect
86. C22×D44C23semidirect
113. C2×#4325C23semidirect
124. #66983C23semidirect
128. C2×C4⋊Dic11C23semidirect
129. C2×#4318C23semidirect
138. #66927C23semidirect
140. C4×D44C23semidirect
141. #66922C23semidirect
142. #66899C23semidirect
147. C22⋊(C11⋊C8)C23semidirect
148. #66873C23semidirect
149. #66872C23semidirect
150. C4⋊(C11⋊C8)C23semidirect
151. #66867C23semidirect
250. C2×#546D11semidirect
277. C23×C11AGL(1,ℤ/8)semidirect
298. D4×C11H(5,𝔽2)semidirect
335. C22×#41C2×D11semidirect
336. C23×D4C2×D11semidirect
342. #546C2×D11semidirect
348. C2×#124C2×D11semidirect
350. C2×C22⋊Q8C2×D11semidirect
354. C2×#121C2×D11semidirect
357. C2×C4×D4C2×D11semidirect
614. C11#61569semidirect
639. C23#67002semidirect
662. D4#67037semidirect

Maximal subgroups

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

subgroupindex
#130823802
#130805772
#130800972
#130796032
#130794132
#130793692
#130787072
#130778682
C2×#106228302
#130776452
C2×C11×#5462
#6156911