Finite Group Databasebeta

← #15638594

Subgroups — #15638594

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
1C2×#10623081C211yesmaximal, characteristic, complemented
2#13080571C218yesmaximal, complemented
3#13080092C218yesmaximal, complemented
4#13079599C212yesmaximal, complemented
5#13079413C212yesmaximal, complemented
6#13079373C212yesmaximal, complemented
7#13078703C212yesmaximal, complemented
8#13077866C212yesmaximal, complemented
9C2×#10622649C212yesmaximal, complemented
10#13077645C211yesmaximal, characteristic, complemented
11C11×#3496C211yesmaximal, characteristic, complemented
12C2×C11×H(5,𝔽2)—21no—
13C22×#4339C2211yescharacteristic, complemented
14C23×D44C2211yescharacteristic, complemented
15C11×#547C2214yescomplemented
16C11×#546—24no—
17D42×C11C2214yescomplemented
18C11×#537—21no—
19C11×#534—21no—
20C11×#534—21no—
21C11×#532C2212yescomplemented
22C2×C11×#121C2212yes—
23C2×C11×#121C2212yescomplemented
24C2×C4×D4×C11C2211yescharacteristic
25C2×#66990—21no—
26C2×#66985C2214yescomplemented
27C22×#4323C2214yescomplemented
28C2×#66983C2211yescharacteristic, complemented
29C2×#66977C2211yescharacteristic, complemented
30#10623081—24no—
31#10623081C2218yescomplemented
32C2×#66947—21no—
33C2×#66937—21no—
34C2×C22⋊C4×D11—21no—
35C2×#66928C2211yescharacteristic, complemented
36C2×C4×D44C2211yescharacteristic, complemented
37#10622831C2214yescomplemented
38#10622830C2214yescomplemented
39#10622820C2212yescomplemented
40C2×C22⋊(C11⋊C8)C2212yescomplemented
41#10622702C2214yescomplemented
42#10622697C2214yescomplemented
43#10622687C2214yescomplemented
44#10622685C2214yescomplemented
45#10622654C2218yescomplemented
46#10622653C2214yescomplemented
47#10622652C2218yescomplemented
48#10622650C2218yescomplemented
49#10622649C2218yescomplemented
50#10622649C2214yescomplemented
51#10622649C2214yescomplemented
52#10622647C2214yescomplemented
53#10622629C2218yescomplemented
54#10622627C2218yescomplemented
55#10622624C2218yescomplemented
56#10622584C2214yescomplemented
57#10622581C2214yescomplemented
58#10622579C2214yescomplemented
59C2×#66873C2214yescomplemented
60#10622539C2212yescomplemented
61C24×D11—21no—
62C11×H(5,𝔽2)—48no—
63C2×C11×#41—24no—
64C2×C11×#41—22no—
65C22×D4×C11—22no—
66C22×D4×C11—22no—
67C22×D4×C11—24no—
68C22×D4×C11D411yescharacteristic
69C22×D4×C11C2312yes—
70C22×D4×C11C2312yescomplemented
71C23×C4×C11C2311yescharacteristic
72C23×C4×C11C2311yescharacteristic
73C22×C22⋊D11—21no—
74C22×C22⋊D11—21no—
75C2×#4339—22no—
76C2×#4339—44no—
77C2×#4339C2314yes—
78C22×D44—21no—
79C22×D44—22no—
80C22×D44—44no—
81C22×D44C2311yescharacteristic
82C22×D44C2314yes—
83C22×D44C2311yescharacteristic
84C22×C4×D11—21no—
85C22×C4×D11—21no—
86C22×Dic22C2311yescharacteristic
87C11×C4⋊Q8C2312yescomplemented
88C11×#127C2312yescomplemented
89C11×#124—22no—
90C11×#123—24no—
91C11×#123—24no—
92C11×C22⋊Q8—24no—
93C11×#121—22no—
94C11×#121—22no—
95C11×#121—22no—
96C11×#121—22no—
97C11×#121—22no—
98C11×#121—24no—
99C11×#121C2314yes—
100C11×#121C2314yes—
101C11×#121C2314yescomplemented
102C11×#120—24no—
103C11×#120—24no—
104C4×D4×C11—22no—
105C4×D4×C11D414yes—
106C4×D4×C11C2314yes—
107C4×D4×C11C2314yescomplemented
108C2×C11×C4⋊C4D411yescharacteristic
109C2×C11×C4⋊C4C2312yes—
110C2×C11×C4⋊C4C2312yescomplemented
111C2×C11×C22⋊C4—22no—
112C2×C11×C22⋊C4—22no—
113C2×C11×C22⋊C4D411yescharacteristic
114C2×C11×C22⋊C4D411yescharacteristic
115C2×C42×C11C2311yescharacteristic
116C2×C22⋊Dic11—21no—
117#66990—28no—
118C2×#4324C2318yescomplemented
119#66985—48no—
120C2×#4323—48no—
121C2×#4323C2318yes—
122C2×#4323C2318yes—
123#66983—22no—
124#66983C2314yes—
125C2×(C2×D11)⋊C4—21no—
126C2×(C2×D11)⋊C4—21no—
127C2×(C2×D11)⋊C4—21no—
128C2×(C2×D11)⋊C4—21no—
129C2×C4⋊Dic11C2311yescharacteristic
130#66977—22no—
131#66977C2314yes—
132C2×Dic11⋊C4—21no—
133C2×#4318C2314yescomplemented
134C22×C11⋊C8C2314yes—
135#66947—28no—
136#66937—28no—
137C22⋊C4×D11—28no—
138#66928—22no—
139#66928C2314yes—
140C4×D44—22no—
141C4×D44C2314yes—
142#66896C2318yescomplemented
143C22⋊(C11⋊C8)C2314yes—
144C22⋊(C11⋊C8)C2314yes—
145C22⋊(C11⋊C8)C2314yescomplemented
146#66874C2318yescomplemented
147#66873C2318yes—
148#66873C2318yes—
149#66872C2318yescomplemented
150C4⋊(C11⋊C8)C2314yescomplemented
151#66867C2314yescomplemented
152#61569—111nomaximal, Sylow
153C24×C11—22no—
154C24×C11—22no—
155C24×C11C2×D411yescharacteristic
156C24×C11C2×D411yescharacteristic
157C23×D11—21no—
158C23×D11—21no—
159C23×D11—24no—
160C23×D11—44no—
161C23×D11—44no—
162C23×D11—82no—
163C11×#41—48no—
164C11×#41—416no—
165C2×Q8×C11—22no—
166C2×D4×C11—24no—
167C2×D4×C11—24no—
168C2×D4×C11—24no—
169C2×D4×C11—24no—
170C2×D4×C11—22no—
171C2×D4×C11—22no—
172C2×D4×C11—22no—
173C2×D4×C11—22no—
174C2×D4×C11—44no—
175C2×D4×C11—44no—
176C2×D4×C11—416no—
177C2×D4×C11—48no—
178C2×D4×C11—48no—
179C2×D4×C11C2×D414yes—
180C2×D4×C11C2414yes—
181C22×C4×C11—22no—
182C22×C4×C11—22no—
183C22×C4×C11—24no—
184C22×C4×C11—42no—
185C22×C4×C11—42no—
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2×D412yes—
189C22×C4×C11C2×D411yescharacteristic
190C22×C4×C11C2×D411yescharacteristic
191C22×C4×C11C2×D412yes—
192C22×C4×C11C2411yescharacteristic
193C22×C4×C11C2412yes—
194C22×C4×C11C2412yes—
195C2×C22⋊D11—24no—
196C2×C22⋊D11—24no—
197C2×C22⋊D11—44no—
198C2×C22⋊D11—82no—
199C22×Dic11—21no—
200C22×Dic11—21no—
201#4339—28no—
202#4339—44no—
203#4339—48no—
204C2×D44—24no—
205C2×D44—28no—
206C2×D44—21no—
207C2×D44—21no—
208C2×D44—24no—
209C2×D44—44no—
210C2×D44—42no—
211C2×D44—44no—
212C2×D44—48no—
213C2×D44C2412yes—
214C2×D44C2412yes—
215C2×C4×D11—24no—
216C2×C4×D11—24no—
217C2×C4×D11—44no—
218C2×C4×D11—82no—
219C2×Dic22—21no—
220C2×Dic22—42no—
221C2×Dic22C2412yes—
222C11×C4⋊C4—22no—
223C11×C4⋊C4—22no—
224C11×C4⋊C4—22no—
225C11×C4⋊C4C2×D414yes—
226C11×C4⋊C4C2414yes—
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—
235C22⋊Dic11—24no—
236#4324—48no—
237#4323—216no—
238#4323—48no—
239(C2×D11)⋊C4—24no—
240(C2×D11)⋊C4—24no—
241(C2×D11)⋊C4—24no—
242(C2×D11)⋊C4—24no—
243C4⋊Dic11—21no—
244C4⋊Dic11C2412yes—
245Dic11⋊C4—24no—
246#4318—44no—
247C2×C11⋊C8—44no—
248C2×C11⋊C8C2418yes—
249#3496D1111yescharacteristic, complemented
250C2×#546—111no—
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—22no—
261C23×C11—24no—
262C23×C11—41no—
263C23×C11—41no—
264C23×C11—41no—
265C23×C11—41no—
266C23×C11—44no—
267C23×C11—44no—
268C23×C11—82no—
269C23×C11—82no—
270C23×C11—82no—
271C23×C11—82no—
272C23×C11AGL(1,ℤ/8)14yescomplemented
273C23×C11C22×D412yes—
274C23×C11C22×D412yes—
275C23×C11C22×D411yescharacteristic
276C22×D11—24no—
277C22×D11—22no—
278C22×D11—22no—
279C22×D11—48no—
280C22×D11—42no—
281C22×D11—42no—
282C22×D11—42no—
283C22×D11—42no—
284C22×D11—48no—
285C22×D11—42no—
286C22×D11—84no—
287C22×D11—816no—
288Q8×C11—44no—
289D4×C11—28no—
290D4×C11—28no—
291D4×C11—44no—
292D4×C11—48no—
293D4×C11—48no—
294D4×C11—48no—
295D4×C11—82no—
296D4×C11—82no—
297D4×C11—82no—
298C2×C4×C11—22no—
299C2×C4×C11—24no—
300C2×C4×C11—24no—
301C2×C4×C11—22no—
302C2×C4×C11—24no—
303C2×C4×C11—41no—
304C2×C4×C11—41no—
305C2×C4×C11—42no—
306C2×C4×C11—41no—
307C2×C4×C11—42no—
308C2×C4×C11—48no—
309C2×C4×C11—44no—
310C2×C4×C11—44no—
311C2×C4×C11C22×D412yes—
312C2×C4×C11C22×D411yescharacteristic
313C2×C4×C11C22×D412yes—
314C2×C4×C11C22×D412yes—
315C2×C4×C11C22×D412yes—
316C2×C4×C11C2511yescharacteristic
317C22⋊D11—48no—
318C22⋊D11—84no—
319C2×Dic11—22no—
320C2×Dic11—22no—
321C2×Dic11—42no—
322C2×Dic11—42no—
323D44—24no—
324D44—22no—
325D44—24no—
326D44—48no—
327D44—42no—
328D44H(5,𝔽2)14yescomplemented
329C4×D11—48no—
330C4×D11—84no—
331Dic22—24no—
332Dic22—42no—
333C11⋊C8—28no—
334C2×H(5,𝔽2)—21no—
335C22×#41—111no—
336C23×D4—111no—
337C2×AGL(1,ℤ/8)—114no—
338C22×D8—114no—
339#547C2×D1114yescomplemented
340#546—24no—
341#546—118no—
342#546—224no—
343D42C2×D1114yescomplemented
344#537—21no—
345#534—21no—
346#534—21no—
347#532C2×D1112yescomplemented
348C2×#124—111no—
349C2×#123—221no—
350C2×C22⋊Q8—111no—
351C2×#121—111no—
352C2×#121—221no—
353C2×#121C2×D1112yes—
354C2×#121C2×D1112yescomplemented
355C2×#120—221no—
356C2×C4×D4—111no—
357C2×C4×D4C2×D1111yescharacteristic
358C22×C22⋊C4—221no—
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—114no—
375#447—118no—
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—22no—
390C22×C11—44no—
391C22×C11—44no—
392C22×C11—44no—
393C22×C11—44no—
394C22×C11—82no—
395C22×C11—164no—
396C22×C11—164no—
397C22×C11C2×AGL(1,ℤ/8)12yes—
398C22×C11C2×AGL(1,ℤ/8)14yes—
399C22×C11C23×D411yescharacteristic
400C2×D11—24no—
401C2×D11—48no—
402C2×D11—42no—
403C2×D11—42no—
404C2×D11—42no—
405C2×D11—42no—
406C2×D11—42no—
407C2×D11—816no—
408C2×D11—84no—
409C4×C11—22no—
410C4×C11—21no—
411C4×C11—22no—
412C4×C11—22no—
413C4×C11—22no—
414C4×C11—44no—
415C4×C11C2×H(5,𝔽2)12yes—
416Dic11—42no—
417Dic11—42no—
418C25—221no—
419H(5,𝔽2)—48no—
420C2×#41—24no—
421C2×#41—22no—
422C2×#41—114no—
423C2×#41—222no—
424C2×#41—444no—
425C22×Q8—111no—
426C22×D4—22no—
427C22×D4—22no—
428C22×D4—24no—
429C22×D4—111no—
430C22×D4—114no—
431C22×D4—111no—
432C22×D4—221no—
433C22×D4—221no—
434C22×D4—221no—
435C22×D4—222no—
436C22×D4—444no—
437C22×D4C22⋊D1111yescharacteristic
438C22×D4C22×D1112yes—
439C22×D4C22×D1112yescomplemented
440C23×C4—221no—
441C23×C4—221no—
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⋊Q8C22×D1112yescomplemented
452#127C22×D1112yescomplemented
453#124—22no—
454#124—114no—
455#124—222no—
456#123—24no—
457#123—24no—
458#123—228no—
459C22⋊Q8—24no—
460C22⋊Q8—114no—
461C22⋊Q8—222no—
462#121—22no—
463#121—22no—
464#121—22no—
465#121—22no—
466#121—22no—
467#121—24no—
468#121—114no—
469#121—222no—
470#121—228no—
471#121C22×D1114yes—
472#121C22×D1114yes—
473#121C22×D1114yescomplemented
474#120—24no—
475#120—24no—
476#120—228no—
477C4×D4—22no—
478C4×D4—114no—
479C4×D4—222no—
480C4×D4C22⋊D1114yes—
481C4×D4C22×D1114yes—
482C4×D4C22×D1114yescomplemented
483C2×C4⋊C4—111no—
484C2×C4⋊C4—221no—
485C2×C4⋊C4C22⋊D1111yescharacteristic
486C2×C4⋊C4C22×D1112yes—
487C2×C4⋊C4C22×D1112yescomplemented
488C2×C22⋊C4—22no—
489C2×C22⋊C4—22no—
490C2×C22⋊C4—221no—
491C2×C22⋊C4—221no—
492C2×C22⋊C4—221no—
493C2×C22⋊C4—221no—
494C2×C22⋊C4—221no—
495C2×C22⋊C4—228no—
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—22no—
510C2×C11—24no—
511C2×C11—42no—
512C2×C11—84no—
513C2×C11#348411yescharacteristic
514C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
515C2×C11#358511yescharacteristic
516D11—44no—
517D11—82no—
518C24—22no—
519C24—22no—
520C24—221no—
521C24—221no—
522C24—224no—
523C24—444no—
524C24—444no—
525C24—882no—
526C24C2×C22⋊D1111yescharacteristic
527C24C2×C22⋊D1111yescharacteristic
528#41—48no—
529#41—416no—
530#41—228no—
531#41—444no—
532#41—448no—
533C2×Q8—22no—
534C2×Q8—112no—
535C2×Q8—221no—
536C2×Q8—442no—
537C2×D4—24no—
538C2×D4—24no—
539C2×D4—24no—
540C2×D4—24no—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—44no—
546C2×D4—44no—
547C2×D4—416no—
548C2×D4—48no—
549C2×D4—48no—
550C2×D4—112no—
551C2×D4—112no—
552C2×D4—224no—
553C2×D4—228no—
554C2×D4—224no—
555C2×D4—224no—
556C2×D4—221no—
557C2×D4—224no—
558C2×D4—221no—
559C2×D4—444no—
560C2×D4—442no—
561C2×D4—448no—
562C2×D4—444no—
563C2×D4—444no—
564C2×D4—882no—
565C2×D4C2×C22⋊D1114yes—
566C2×D4C23×D1114yes—
567C22×C4—22no—
568C22×C4—22no—
569C22×C4—24no—
570C22×C4—42no—
571C22×C4—42no—
572C22×C4—221no—
573C22×C4—221no—
574C22×C4—224no—
575C22×C4—224no—
576C22×C4—444no—
577C22×C4—882no—
578C22×C4C2×C22⋊D1111yescharacteristic
579C22×C4C2×C22⋊D1111yescharacteristic
580C22×C4C2×C22⋊D1112yes—
581C22×C4C2×C22⋊D1112yes—
582C22×C4C2×C22⋊D1111yescharacteristic
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—22no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—112no—
597C4⋊C4—221no—
598C4⋊C4—224no—
599C4⋊C4C2×C22⋊D1114yes—
600C4⋊C4C23×D1114yes—
601C22⋊C4—24no—
602C22⋊C4—24no—
603C22⋊C4—24no—
604C22⋊C4—24no—
605C22⋊C4—224no—
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—22no—
616C23—24no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—44no—
622C23—44no—
623C23—82no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23—224no—
628C23—222no—
629C23—222no—
630C23—448no—
631C23—442no—
632C23—442no—
633C23—442no—
634C23—442no—
635C23—448no—
636C23—442no—
637C23—884no—
638C23—8816no—
639C23#6698514yescomplemented
640C23C22×C22⋊D1112yes—
641C23C22×C22⋊D1112yes—
642C23C22×C22⋊D1111yescharacteristic
643Q8—44no—
644Q8—224no—
645Q8—442no—
646D4—28no—
647D4—28no—
648D4—44no—
649D4—48no—
650D4—48no—
651D4—48no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—114no—
656D4—224no—
657D4—222no—
658D4—224no—
659D4—448no—
660D4—442no—
661D4—448no—
662D4—884no—
663C2×C4—22no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—22no—
667C2×C4—24no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—41no—
673C2×C4—48no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—222no—
677C2×C4—222no—
678C2×C4—448no—
679C2×C4—442no—
680C2×C4—442no—
681C2×C4—884no—
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—22no—
696C22—44no—
697C22—44no—
698C22—44no—
699C22—44no—
700C22—82no—
701C22—164no—
702C22—164no—
703C22—224no—
704C22—448no—
705C22—442no—
706C22—442no—
707C22—442no—
708C22—442no—
709C22—442no—
710C22—8816no—
711C22—884no—
712C22C2×#6698512yes—
713C22C2×#6698514yes—
714C22C23×C22⋊D1111yescharacteristic
715C4—22no—
716C4—21no—
717C4—22no—
718C4—22no—
719C4—22no—
720C4—44no—
721C4—442no—
722C4—442no—
723C4D11×H(5,𝔽2)12yes—
724C2—22no—
725C2—24no—
726C2—42no—
727C2—84no—
728C2—444no—
729C2—882no—
730C2#1308224711yescharacteristic
731C2C22×#6698511yescharacteristic
732C2#1308339511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3496C2
socleC22×C11C23×D4
hypercenter#3496D11
hypocenterC11#61569
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3496

Complements

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

NH ≅ G/Ntype
1. C2×#10623081C2semidirect
2. #13080571C2semidirect
3. #13080092C2semidirect
4. #13079599C2semidirect
5. #13079413C2semidirect
6. #13079373C2semidirect
7. #13078703C2semidirect
8. #13077866C2semidirect
9. C2×#10622649C2semidirect
10. #13077645C2semidirect
11. C11×#3496C2semidirect
13. C22×#4339C22semidirect
14. C23×D44C22semidirect
15. C11×#547C22semidirect
17. D42×C11C22semidirect
21. C11×#532C22semidirect
23. C2×C11×#121C22semidirect
26. C2×#66985C22semidirect
27. C22×#4323C22semidirect
28. C2×#66983C22semidirect
29. C2×#66977C22semidirect
31. #10623081C22semidirect
35. C2×#66928C22semidirect
36. C2×C4×D44C22semidirect
37. #10622831C22semidirect
38. #10622830C22semidirect
39. #10622820C22semidirect
40. C2×C22⋊(C11⋊C8)C22semidirect
41. #10622702C22semidirect
42. #10622697C22semidirect
43. #10622687C22semidirect
44. #10622685C22semidirect
45. #10622654C22semidirect
46. #10622653C22semidirect
47. #10622652C22semidirect
48. #10622650C22semidirect
49. #10622649C22semidirect
50. #10622649C22semidirect
51. #10622649C22semidirect
52. #10622647C22semidirect
53. #10622629C22semidirect
54. #10622627C22semidirect
55. #10622624C22semidirect
56. #10622584C22semidirect
57. #10622581C22semidirect
58. #10622579C22semidirect
59. C2×#66873C22semidirect
60. #10622539C22semidirect
70. C22×D4×C11C23semidirect
87. C11×C4⋊Q8C23semidirect
88. C11×#127C23semidirect
101. C11×#121C23semidirect
107. C4×D4×C11C23semidirect
110. C2×C11×C4⋊C4C23semidirect
118. C2×#4324C23semidirect
133. C2×#4318C23semidirect
142. #66896C23semidirect
145. C22⋊(C11⋊C8)C23semidirect
146. #66874C23semidirect
149. #66872C23semidirect
150. C4⋊(C11⋊C8)C23semidirect
151. #66867C23semidirect
249. #3496D11semidirect
272. C23×C11AGL(1,ℤ/8)semidirect
328. D44H(5,𝔽2)semidirect
339. #547C2×D11semidirect
343. D42C2×D11semidirect
347. #532C2×D11semidirect
354. C2×#121C2×D11semidirect
439. C22×D4C22×D11semidirect
451. C4⋊Q8C22×D11semidirect
452. #127C22×D11semidirect
473. #121C22×D11semidirect
482. C4×D4C22×D11semidirect
487. C2×C4⋊C4C22×D11semidirect
614. C11#61569semidirect
639. C23#66985semidirect

Maximal subgroups

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

subgroupindex
C2×#106230812
#130805712
#130800922
#130795992
#130794132
#130793732
#130787032
#130778662
C2×#106226492
#130776452
C11×#34962
#6156911