Finite Group Databasebeta

← #15638601

Subgroups — #15638601

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
2C2×#10623081C211yesmaximal, characteristic, complemented
3#13080579C218yesmaximal, complemented
4#13080101C218yesmaximal, complemented
5#13079605C212yesmaximal, complemented
6#13079416C212yesmaximal, complemented
7#13079374C212yesmaximal, complemented
8#13078708C212yesmaximal, complemented
9#13077870C212yesmaximal, complemented
10C2×#10622345C212yesmaximal, complemented
11C11×#2973C211yesmaximal, characteristic, complemented
12C2×#67037—21no—
13C22×#4339C2211yescharacteristic, complemented
14C23×D44C2211yescharacteristic, complemented
15C2×C4×D4×C11C2211yescharacteristic
16C2×#66990—21no—
17C2×#66983C2212yes—
18C2×#66983C2211yescharacteristic, complemented
19C2×#66983C2212yescomplemented
20C2×#66977C2211yescharacteristic, complemented
21C2×#66961C2214yescomplemented
22C22×D88C2214yescomplemented
23#10623086C2214yescomplemented
24#10623085—24no—
25#10623081—24no—
26#10623081C2218yescomplemented
27D4×D44C2214yescomplemented
28#10623041—21no—
29C2×#66947—21no—
30#10623024—21no—
31#10623024—21no—
32C2×#66937—21no—
33C2×C22⋊C4×D11—21no—
34#10623008C2212yescomplemented
35C2×#66928C2211yescharacteristic, complemented
36C2×C4×D44C2211yescharacteristic, complemented
37C11×#435C2218yescomplemented
38C11×#432C2212yescomplemented
39C11×#407C2212yescomplemented
40C2×C11×C22⋊C8C2212yescomplemented
41#10622748C2218yescomplemented
42#10622746C2214yescomplemented
43#10622727C2218yescomplemented
44C2×#66885C2214yescomplemented
45#10622457C2218yescomplemented
46#10622456C2214yescomplemented
47#10622455C2214yescomplemented
48#10622351C2214yescomplemented
49#10622348C2214yescomplemented
50#10622348C2214yescomplemented
51#10622347C2218yescomplemented
52#10622345C2218yescomplemented
53#10622345C2214yescomplemented
54#10622345C2214yescomplemented
55#10622345C2214yescomplemented
56#10622344C2214yescomplemented
57#10622334C2214yescomplemented
58#10622327C2214yescomplemented
59#10622325C2214yescomplemented
60#10622324C2218yescomplemented
61C24×D11—21no—
62C22×D4×C11D411yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C23×C4×C11C2311yescharacteristic
65C22×C22⋊D11—21no—
66C22×C22⋊D11—22no—
67C22×C22⋊D11—22no—
68C22×C22⋊D11—21no—
69#67037—48no—
70C2×#4341—24no—
71C2×D4×D11—24no—
72C2×#4339—22no—
73C2×#4339—22no—
74C2×#4339—44no—
75C2×#4339C2314yes—
76C22×D44—21no—
77C22×D44—22no—
78C22×D44—44no—
79C22×D44C2311yescharacteristic
80C22×D44C2314yes—
81C22×D44C2311yescharacteristic
82C22×D44C2312yes—
83C22×D44C2312yescomplemented
84C22×C4×D11—21no—
85C22×C4×D11—21no—
86C22×Dic22C2311yescharacteristic
87C2×C11×M16C2314yescomplemented
88C22×C8×C11C2314yes—
89C4×D4×C11D414yes—
90C4×D4×C11C2314yes—
91C2×C11×C4⋊C4D411yescharacteristic
92C2×C11×C22⋊C4D411yescharacteristic
93C2×C11×C22⋊C4D411yescharacteristic
94C2×C42×C11C2311yescharacteristic
95C2×C22⋊Dic11—21no—
96#66990—28no—
97#66983—22no—
98#66983—22no—
99#66983—22no—
100#66983—22no—
101#66983—22no—
102#66983—22no—
103#66983C2314yes—
104#66983C2314yes—
105#66983C2314yes—
106#66983C2314yescomplemented
107C2×(C2×D11)⋊C4—21no—
108C2×(C2×D11)⋊C4—21no—
109C2×(C2×D11)⋊C4—21no—
110C2×(C2×D11)⋊C4—21no—
111C2×(C2×D11)⋊C4—22no—
112C2×(C2×D11)⋊C4—22no—
113C2×C4⋊Dic11C2312yes—
114C2×C4⋊Dic11C2311yescharacteristic
115C2×C4⋊Dic11C2312yescomplemented
116#66977—22no—
117#66977C2314yes—
118C2×Dic11⋊C4—21no—
119#66961—48no—
120C2×D88—48no—
121C2×D88C2318yes—
122C2×D88C2318yes—
123C2×#4314C2318yescomplemented
124#66950—24no—
125#66948—24no—
126#66947—28no—
127#66939—24no—
128#66939—24no—
129#66937—28no—
130#66935—24no—
131#66935—24no—
132C22⋊C4×D11—28no—
133#66928—22no—
134#66928—22no—
135#66928C2314yes—
136#66927C2312yescomplemented
137C4×D44—22no—
138C4×D44—22no—
139C4×D44C2314yes—
140C4×D44C2314yescomplemented
141#66922C2312yescomplemented
142C11×C4⋊C8C2314yescomplemented
143C11×C22⋊C8C2314yes—
144C11×C22⋊C8C2314yes—
145C11×C22⋊C8C2314yescomplemented
146C11×#97C2314yescomplemented
147#66885C2318yes—
148#66885C2318yes—
149#66885C2318yescomplemented
150#66881C2318yescomplemented
151#66880C2318yescomplemented
152#61569—111nomaximal, Sylow
153C24×C11C2×D411yescharacteristic
154C24×C11C2×D411yescharacteristic
155C23×D11—21no—
156C23×D11—21no—
157C23×D11—24no—
158C23×D11—22no—
159C23×D11—22no—
160C23×D11—44no—
161C23×D11—44no—
162C23×D11—82no—
163C2×D4×C11—24no—
164C2×D4×C11C2×D414yes—
165C22×C4×C11—42no—
166C22×C4×C11—42no—
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D412yes—
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D412yes—
173C22×C4×C11C2411yescharacteristic
174C22×C4×C11C2412yes—
175C22×C4×C11C2412yes—
176C2×C22⋊D11—24no—
177C2×C22⋊D11—24no—
178C2×C22⋊D11—24no—
179C2×C22⋊D11—24no—
180C2×C22⋊D11—24no—
181C2×C22⋊D11—44no—
182C2×C22⋊D11—48no—
183C2×C22⋊D11—48no—
184C2×C22⋊D11—82no—
185C22×Dic11—22no—
186C22×Dic11—22no—
187C22×Dic11—21no—
188C22×Dic11—21no—
189#4341—416no—
190D4×D11—416no—
191#4339—28no—
192#4339—44no—
193#4339—48no—
194#4339—48no—
195C2×D44—24no—
196C2×D44—28no—
197C2×D44—21no—
198C2×D44—22no—
199C2×D44—21no—
200C2×D44—24no—
201C2×D44—22no—
202C2×D44—22no—
203C2×D44—22no—
204C2×D44—44no—
205C2×D44—42no—
206C2×D44—44no—
207C2×D44—44no—
208C2×D44—44no—
209C2×D44—48no—
210C2×D44C2412yes—
211C2×D44C2414yes—
212C2×D44C2412yes—
213C2×C4×D11—24no—
214C2×C4×D11—24no—
215C2×C4×D11—24no—
216C2×C4×D11—44no—
217C2×C4×D11—82no—
218C2×Dic22—22no—
219C2×Dic22—21no—
220C2×Dic22—42no—
221C2×Dic22C2412yes—
222C11×M16—44no—
223C2×C8×C11—44no—
224C2×C8×C11C2418yes—
225C11×C4⋊C4C2×D414yes—
226C11×C22⋊C4C2×D414yes—
227C11×C22⋊C4C2×D414yes—
228C42×C11C2×D412yes—
229C42×C11C2412yes—
230C22⋊Dic11—24no—
231(C2×D11)⋊C4—24no—
232(C2×D11)⋊C4—24no—
233(C2×D11)⋊C4—24no—
234(C2×D11)⋊C4—24no—
235(C2×D11)⋊C4—24no—
236(C2×D11)⋊C4—24no—
237(C2×D11)⋊C4—24no—
238(C2×D11)⋊C4—24no—
239C4⋊Dic11—22no—
240C4⋊Dic11—21no—
241C4⋊Dic11—22no—
242C4⋊Dic11—22no—
243C4⋊Dic11C2414yes—
244C4⋊Dic11C2412yes—
245Dic11⋊C4—24no—
246D88—216no—
247D88—48no—
248#4314—48no—
249#3496—111no—
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#2973D1111yescharacteristic, complemented
260C23×C11—22no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11—41no—
264C23×C11—41no—
265C23×C11AGL(1,ℤ/8)14yescomplemented
266C23×C11C22×D412yes—
267C23×C11C22×D412yes—
268C23×C11C22×D411yescharacteristic
269C22×D11—24no—
270C22×D11—22no—
271C22×D11—22no—
272C22×D11—24no—
273C22×D11—48no—
274C22×D11—42no—
275C22×D11—42no—
276C22×D11—42no—
277C22×D11—42no—
278C22×D11—48no—
279C22×D11—42no—
280C22×D11—44no—
281C22×D11—44no—
282C22×D11—84no—
283C22×D11—82no—
284C22×D11—82no—
285C22×D11—82no—
286C22×D11—82no—
287C22×D11—816no—
288D4×C11—28no—
289C2×C4×C11—22no—
290C2×C4×C11—24no—
291C2×C4×C11—24no—
292C2×C4×C11—22no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—42no—
296C2×C4×C11—41no—
297C2×C4×C11—42no—
298C2×C4×C11C22×D412yes—
299C2×C4×C11C22×D411yescharacteristic
300C2×C4×C11C22×D412yes—
301C2×C4×C11C22×D412yes—
302C2×C4×C11C22×D412yes—
303C2×C4×C11C2511yescharacteristic
304C22⋊D11—48no—
305C22⋊D11—48no—
306C22⋊D11—48no—
307C22⋊D11—48no—
308C22⋊D11—84no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—24no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11—44no—
315C2×Dic11—44no—
316D44—24no—
317D44—22no—
318D44—28no—
319D44—24no—
320D44—48no—
321D44—42no—
322D44—44no—
323D44—82no—
324D44—82no—
325D44—82no—
326D44H(5,𝔽2)14yescomplemented
327C4×D11—48no—
328C4×D11—48no—
329C4×D11—84no—
330Dic22—24no—
331Dic22—42no—
332Dic22—44no—
333C8×C11—28no—
334C2×H(5,𝔽2)—221no—
335C22×#41—111no—
336C23×D4—111no—
337C2×AGL(1,ℤ/8)—114no—
338C22×D8—114no—
339#547—114no—
340#546—118no—
341#546—224no—
342#546—224no—
343D42—114no—
344#537—221no—
345#534—221no—
346#534—221no—
347#532—112no—
348C2×#124—111no—
349C2×#123—221no—
350C2×C22⋊Q8—111no—
351C2×#121—112no—
352C2×#121—111no—
353C2×#121—112no—
354C2×#121—221no—
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—118no—
375#447—114no—
376#442—118no—
377#435C2×D1118yescomplemented
378#432C2×D1112yescomplemented
379#417—114no—
380C2×#102—114no—
381#407C2×D1112yescomplemented
382C2×C22⋊C8C2×D1112yescomplemented
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—82no—
392C22×C11C2×AGL(1,ℤ/8)12yes—
393C22×C11C2×AGL(1,ℤ/8)14yes—
394C22×C11C23×D411yescharacteristic
395C2×D11—24no—
396C2×D11—48no—
397C2×D11—42no—
398C2×D11—42no—
399C2×D11—42no—
400C2×D11—44no—
401C2×D11—42no—
402C2×D11—44no—
403C2×D11—42no—
404C2×D11—44no—
405C2×D11—816no—
406C2×D11—84no—
407C2×D11—164no—
408C2×D11—164no—
409C4×C11—22no—
410C4×C11—21no—
411C4×C11—22no—
412C4×C11—22no—
413C4×C11—22no—
414C4×C11C2×H(5,𝔽2)12yes—
415Dic11—42no—
416Dic11—42no—
417Dic11—44no—
418C25—221no—
419H(5,𝔽2)—448no—
420C2×#41—114no—
421C2×#41—224no—
422C2×#41—222no—
423C2×#41—222no—
424C2×#41—444no—
425C22×Q8—111no—
426C22×D4—111no—
427C22×D4—114no—
428C22×D4—111no—
429C22×D4—112no—
430C22×D4—112no—
431C22×D4—221no—
432C22×D4—222no—
433C22×D4—222no—
434C22×D4—221no—
435C22×D4—224no—
436C22×D4—221no—
437C22×D4—222no—
438C22×D4—444no—
439C22×D4D4411yescharacteristic
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×M16C22×D1114yescomplemented
450C22×C8C22×D1114yes—
451C4⋊Q8—112no—
452#127—112no—
453#124—114no—
454#124—222no—
455#124—222no—
456#123—228no—
457#123—224no—
458#123—224no—
459C22⋊Q8—114no—
460C22⋊Q8—222no—
461C22⋊Q8—224no—
462#121—114no—
463#121—114no—
464#121—114no—
465#121—114no—
466#121—222no—
467#121—222no—
468#121—222no—
469#121—222no—
470#121—222no—
471#121—222no—
472#121—224no—
473#121—228no—
474#120—228no—
475#120—224no—
476#120—224no—
477C4×D4—114no—
478C4×D4—114no—
479C4×D4—222no—
480C4×D4—222no—
481C4×D4D4414yes—
482C4×D4C22×D1114yes—
483C2×C4⋊C4—111no—
484C2×C4⋊C4—112no—
485C2×C4⋊C4—112no—
486C2×C4⋊C4—221no—
487C2×C4⋊C4D4411yescharacteristic
488C2×C22⋊C4—221no—
489C2×C22⋊C4—221no—
490C2×C22⋊C4—221no—
491C2×C22⋊C4—221no—
492C2×C22⋊C4—221no—
493C2×C22⋊C4—222no—
494C2×C22⋊C4—222no—
495C2×C22⋊C4—228no—
496C2×C22⋊C4D4411yescharacteristic
497C2×C22⋊C4D4411yescharacteristic
498C2×C42C22×D1111yescharacteristic
499#106—118no—
500C4⋊C8C22×D1114yescomplemented
501#103—118no—
502#102—118no—
503#102—118no—
504#102—118no—
505C22⋊C8C22×D1114yes—
506C22⋊C8C22×D1114yes—
507C22⋊C8C22×D1114yescomplemented
508#97C22×D1114yescomplemented
509C2×C11—22no—
510C2×C11—24no—
511C2×C11—42no—
512C2×C11#348411yescharacteristic
513C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
514C2×C11#358511yescharacteristic
515D11—44no—
516D11—82no—
517D11—84no—
518C24—221no—
519C24—221no—
520C24—224no—
521C24—222no—
522C24—222no—
523C24—444no—
524C24—444no—
525C24—882no—
526C24C2×D4411yescharacteristic
527C24C2×D4411yescharacteristic
528#41—228no—
529#41—444no—
530#41—448no—
531#41—448no—
532#41—4416no—
533C2×Q8—112no—
534C2×Q8—221no—
535C2×Q8—222no—
536C2×Q8—442no—
537C2×D4—24no—
538C2×D4—112no—
539C2×D4—112no—
540C2×D4—114no—
541C2×D4—224no—
542C2×D4—228no—
543C2×D4—224no—
544C2×D4—224no—
545C2×D4—224no—
546C2×D4—224no—
547C2×D4—224no—
548C2×D4—221no—
549C2×D4—224no—
550C2×D4—221no—
551C2×D4—222no—
552C2×D4—222no—
553C2×D4—222no—
554C2×D4—222no—
555C2×D4—444no—
556C2×D4—442no—
557C2×D4—444no—
558C2×D4—444no—
559C2×D4—448no—
560C2×D4—444no—
561C2×D4—4416no—
562C2×D4—448no—
563C2×D4—444no—
564C2×D4—448no—
565C2×D4—882no—
566C2×D4C2×D4414yes—
567C22×C4—42no—
568C22×C4—42no—
569C22×C4—221no—
570C22×C4—221no—
571C22×C4—222no—
572C22×C4—222no—
573C22×C4—224no—
574C22×C4—224no—
575C22×C4—224no—
576C22×C4—444no—
577C22×C4—882no—
578C22×C4C2×D4411yescharacteristic
579C22×C4C2×D4411yescharacteristic
580C22×C4C2×D4411yescharacteristic
581C22×C4C2×D4412yes—
582C22×C4C2×D4412yes—
583C22×C4C2×D4411yescharacteristic
584C22×C4C23×D1111yescharacteristic
585C22×C4C23×D1112yes—
586C22×C4C23×D1112yes—
587SD16—448no—
588D8—2216no—
589D8—448no—
590M16—44no—
591C2×C8—44no—
592C2×C8C23×D1118yes—
593C4⋊C4—114no—
594C4⋊C4—112no—
595C4⋊C4—221no—
596C4⋊C4—222no—
597C4⋊C4—222no—
598C4⋊C4—224no—
599C4⋊C4—222no—
600C4⋊C4C2×D4414yes—
601C22⋊C4—224no—
602C22⋊C4—224no—
603C22⋊C4—224no—
604C22⋊C4—224no—
605C22⋊C4—224no—
606C22⋊C4—224no—
607C22⋊C4—224no—
608C22⋊C4—224no—
609C22⋊C4—224no—
610C22⋊C4C2×D4414yes—
611C22⋊C4C2×D4414yes—
612C42C2×D4412yes—
613C42C23×D1112yes—
614C11#6156911yescharacteristic, complemented, Sylow
615C23—22no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—224no—
621C23—222no—
622C23—222no—
623C23—224no—
624C23—448no—
625C23—442no—
626C23—442no—
627C23—442no—
628C23—444no—
629C23—442no—
630C23—448no—
631C23—442no—
632C23—444no—
633C23—884no—
634C23—882no—
635C23—882no—
636C23—882no—
637C23—882no—
638C23—8816no—
639C23#6696114yescomplemented
640C23C22×D4412yes—
641C23C22×D4412yes—
642C23C22×D4411yescharacteristic
643Q8—224no—
644Q8—442no—
645Q8—444no—
646D4—28no—
647D4—114no—
648D4—224no—
649D4—222no—
650D4—228no—
651D4—224no—
652D4—448no—
653D4—442no—
654D4—444no—
655D4—448no—
656D4—448no—
657D4—448no—
658D4—448no—
659D4—882no—
660D4—882no—
661D4—882no—
662D4—884no—
663C2×C4—22no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—22no—
667C2×C4—41no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—41no—
672C2×C4—222no—
673C2×C4—222no—
674C2×C4—224no—
675C2×C4—448no—
676C2×C4—448no—
677C2×C4—442no—
678C2×C4—442no—
679C2×C4—444no—
680C2×C4—444no—
681C2×C4—884no—
682C2×C4C22×D4411yescharacteristic
683C2×C4C22×D4412yes—
684C2×C4C22×D4412yes—
685C2×C4C22×D4412yes—
686C2×C4C22×D4412yes—
687C2×C4C24×D1111yescharacteristic
688C8—28no—
689C22—21no—
690C22—22no—
691C22—21no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—44no—
697C22—82no—
698C22—224no—
699C22—448no—
700C22—442no—
701C22—442no—
702C22—442no—
703C22—444no—
704C22—442no—
705C22—444no—
706C22—444no—
707C22—442no—
708C22—8816no—
709C22—884no—
710C22—1764no—
711C22—1764no—
712C22C2×#6696112yes—
713C22C2×#6696114yes—
714C22C23×D4411yescharacteristic
715C4—22no—
716C4—21no—
717C4—22no—
718C4—22no—
719C4—22no—
720C4—442no—
721C4—442no—
722C4—444no—
723C4D11×H(5,𝔽2)12yes—
724C2—22no—
725C2—24no—
726C2—42no—
727C2—444no—
728C2—882no—
729C2—884no—
730C2#1308225211yescharacteristic
731C2C22×#6696111yescharacteristic
732C2#1308339711yescharacteristic
subgroupG/H
centerC22C23×D44
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#2973C2
socleC22×C11C23×D4
hypercenter#2973D11
hypocenterC11#61569
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2973

Complements

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

NH ≅ G/Ntype
1. #13082380C2semidirect
2. C2×#10623081C2semidirect
3. #13080579C2semidirect
4. #13080101C2semidirect
5. #13079605C2semidirect
6. #13079416C2semidirect
7. #13079374C2semidirect
8. #13078708C2semidirect
9. #13077870C2semidirect
10. C2×#10622345C2semidirect
11. C11×#2973C2semidirect
13. C22×#4339C22semidirect
14. C23×D44C22semidirect
18. C2×#66983C22semidirect
19. C2×#66983C22semidirect
20. C2×#66977C22semidirect
21. C2×#66961C22semidirect
22. C22×D88C22semidirect
23. #10623086C22semidirect
26. #10623081C22semidirect
27. D4×D44C22semidirect
34. #10623008C22semidirect
35. C2×#66928C22semidirect
36. C2×C4×D44C22semidirect
37. C11×#435C22semidirect
38. C11×#432C22semidirect
39. C11×#407C22semidirect
40. C2×C11×C22⋊C8C22semidirect
41. #10622748C22semidirect
42. #10622746C22semidirect
43. #10622727C22semidirect
44. C2×#66885C22semidirect
45. #10622457C22semidirect
46. #10622456C22semidirect
47. #10622455C22semidirect
48. #10622351C22semidirect
49. #10622348C22semidirect
50. #10622348C22semidirect
51. #10622347C22semidirect
52. #10622345C22semidirect
53. #10622345C22semidirect
54. #10622345C22semidirect
55. #10622345C22semidirect
56. #10622344C22semidirect
57. #10622334C22semidirect
58. #10622327C22semidirect
59. #10622325C22semidirect
60. #10622324C22semidirect
83. C22×D44C23semidirect
87. C2×C11×M16C23semidirect
106. #66983C23semidirect
115. C2×C4⋊Dic11C23semidirect
123. C2×#4314C23semidirect
136. #66927C23semidirect
140. C4×D44C23semidirect
141. #66922C23semidirect
142. C11×C4⋊C8C23semidirect
145. C11×C22⋊C8C23semidirect
146. C11×#97C23semidirect
149. #66885C23semidirect
150. #66881C23semidirect
151. #66880C23semidirect
259. #2973D11semidirect
265. C23×C11AGL(1,ℤ/8)semidirect
326. D44H(5,𝔽2)semidirect
377. #435C2×D11semidirect
378. #432C2×D11semidirect
381. #407C2×D11semidirect
382. C2×C22⋊C8C2×D11semidirect
449. C2×M16C22×D11semidirect
500. C4⋊C8C22×D11semidirect
507. C22⋊C8C22×D11semidirect
508. #97C22×D11semidirect
614. C11#61569semidirect
639. C23#66961semidirect

Maximal subgroups

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

subgroupindex
#130823802
C2×#106230812
#130805792
#130801012
#130796052
#130794162
#130793742
#130787082
#130778702
C2×#106223452
C11×#29732
#6156911