Finite Group Databasebeta

← #15638637

Subgroups — #15638637

Order 2816.

2374 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
1#13082380C211yesmaximal, characteristic, complemented
2#13080607C218yesmaximal, complemented
3#13080112C218yesmaximal, complemented
4#13079603C212yesmaximal, complemented
5#13079418C212yesmaximal, complemented
6#13079364C212yesmaximal, complemented
7#13078738C212yesmaximal, complemented
8#13077868C212yesmaximal, complemented
9C2×#10622840C212yesmaximal, complemented
10#13077645C211yesmaximal, characteristic, complemented
11C2×C11×#548C211yesmaximal, characteristic, complemented
12C22×C11×#41C2211yescharacteristic, complemented
13C23×Q8×C11C2211yescharacteristic, complemented
14C2×#67037—21no—
15C11×#548—24no—
16C11×#548C2218yescomplemented
17C2×C11×#124—21no—
18C2×C11×#124C2211yescharacteristic, complemented
19C2×C11×C22⋊Q8—21no—
20C2×C11×C22⋊Q8C2211yescharacteristic, complemented
21C2×C11×#121—21no—
22C2×C11×#121C2211yescharacteristic, complemented
23C2×C4×Q8×C11C2211yescharacteristic, complemented
24C2×C4×D4×C11—21no—
25C2×C4×D4×C11C2211yescharacteristic
26C2×#67002C2214yescomplemented
27C22×#4325C2214yescomplemented
28C2×#66983C2212yes—
29C2×#66983C2212yes—
30#10623086C2214yescomplemented
31#10623085—24no—
32D4×D44C2214yescomplemented
33#10623041—21no—
34#10623024—21no—
35#10623024—21no—
36#10623008C2212yes—
37#10622851C2218yescomplemented
38#10622845C2214yescomplemented
39#10622840C2218yescomplemented
40#10622840C2214yescomplemented
41#10622840C2214yescomplemented
42C2×#66899C2214yescomplemented
43#10622830C2214yescomplemented
44#10622820C2212yescomplemented
45C2×C22⋊(C11⋊C8)C2212yescomplemented
46#10622671C2214yescomplemented
47#10622670C2218yescomplemented
48#10622668C2214yescomplemented
49#10622662C2218yescomplemented
50#10622659C2214yescomplemented
51#10622657C2214yescomplemented
52#10622651C2218yescomplemented
53#10622649C2214yescomplemented
54#10622646C2214yescomplemented
55#10622640C2214yescomplemented
56#10622639C2218yescomplemented
57#10622634C2214yescomplemented
58#10622624C2218yescomplemented
59#10622580C2214yescomplemented
60#10622539C2212yescomplemented
61C2×C11×#41—22no—
62C2×C11×#41—44no—
63C2×C11×#41C2314yes—
64C22×Q8×C11—21no—
65C22×Q8×C11—22no—
66C22×Q8×C11—44no—
67C22×Q8×C11C2311yescharacteristic
68C22×Q8×C11C2314yes—
69C22×Q8×C11C2311yescharacteristic
70C22×D4×C11—21no—
71C22×D4×C11—21no—
72C22×D4×C11D411yescharacteristic
73C22×D4×C11C2311yescharacteristic
74C23×C4×C11—21no—
75C23×C4×C11—21no—
76C23×C4×C11C2311yescharacteristic
77C23×C4×C11C2311yescharacteristic
78C22×C22⋊D11—22no—
79C22×C22⋊D11—22no—
80#67037—48no—
81C2×#4341—24no—
82C2×D4×D11—24no—
83C2×#4339—22no—
84C22×D44C2312yes—
85C22×D44C2312yes—
86C11×#124—28no—
87C11×#124—22no—
88C11×#124C2314yes—
89C11×C22⋊Q8—22no—
90C11×C22⋊Q8—28no—
91C11×C22⋊Q8C2314yes—
92C11×#121—28no—
93C11×#121—22no—
94C11×#121C2314yes—
95C4×Q8×C11—22no—
96C4×Q8×C11C2314yes—
97C4×D4×C11—28no—
98C4×D4×C11D414yes—
99C4×D4×C11C2314yes—
100C2×C11×C4⋊C4—21no—
101C2×C11×C4⋊C4—21no—
102C2×C11×C4⋊C4D411yescharacteristic
103C2×C11×C4⋊C4C2311yescharacteristic
104C2×C11×C22⋊C4—21no—
105C2×C11×C22⋊C4—21no—
106C2×C11×C22⋊C4—21no—
107C2×C11×C22⋊C4—21no—
108C2×C11×C22⋊C4D411yescharacteristic
109C2×C11×C22⋊C4D411yescharacteristic
110C2×C42×C11—21no—
111C2×C42×C11C2311yescharacteristic
112#67002—48no—
113C2×#4325—48no—
114C2×#4325C2318yes—
115C2×#4325C2318yes—
116C2×#4323C2318yes—
117#66983—22no—
118#66983—22no—
119#66983—22no—
120#66983—22no—
121#66983—22no—
122#66983C2314yes—
123#66983C2314yes—
124#66983C2314yes—
125C2×(C2×D11)⋊C4—22no—
126C2×(C2×D11)⋊C4—22no—
127C2×C4⋊Dic11C2312yes—
128C2×C4⋊Dic11C2312yes—
129C2×#4318C2314yes—
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#66927C2312yes—
139C4×D44—22no—
140C4×D44C2314yes—
141#66922C2312yes—
142#66899C2318yes—
143#66899C2318yes—
144#66896C2318yes—
145C22⋊(C11⋊C8)C2314yes—
146C22⋊(C11⋊C8)C2314yes—
147C22⋊(C11⋊C8)C2314yes—
148#66873C2318yes—
149#66871C2318yes—
150C4⋊(C11⋊C8)C2314yes—
151#66867C2314yes—
152#61572—111nomaximal, Sylow
153C24×C11—21no—
154C24×C11C2×D411yescharacteristic
155C24×C11C2×D411yescharacteristic
156C23×D11—22no—
157C23×D11—22no—
158C11×#41—28no—
159C11×#41—44no—
160C11×#41—48no—
161C2×Q8×C11—24no—
162C2×Q8×C11—21no—
163C2×Q8×C11—24no—
164C2×Q8×C11—21no—
165C2×Q8×C11—28no—
166C2×Q8×C11—44no—
167C2×Q8×C11—42no—
168C2×Q8×C11—44no—
169C2×Q8×C11—48no—
170C2×Q8×C11C2412yes—
171C2×Q8×C11C2412yes—
172C2×D4×C11—24no—
173C2×D4×C11—24no—
174C2×D4×C11—24no—
175C2×D4×C11—21no—
176C2×D4×C11—42no—
177C2×D4×C11—44no—
178C2×D4×C11—44no—
179C2×D4×C11C2×D414yes—
180C2×D4×C11C2412yes—
181C22×C4×C11—21no—
182C22×C4×C11—21no—
183C22×C4×C11—21no—
184C22×C4×C11—24no—
185C22×C4×C11—24no—
186C22×C4×C11—42no—
187C22×C4×C11—42no—
188C22×C4×C11—44no—
189C22×C4×C11—44no—
190C22×C4×C11C2×D411yescharacteristic
191C22×C4×C11C2×D412yes—
192C22×C4×C11C2×D412yes—
193C22×C4×C11C2×D411yescharacteristic
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2×D411yescharacteristic
196C22×C4×C11C2411yescharacteristic
197C22×C4×C11C2412yes—
198C22×C4×C11C2412yes—
199C2×C22⋊D11—24no—
200C2×C22⋊D11—24no—
201C2×C22⋊D11—24no—
202C2×C22⋊D11—48no—
203C2×C22⋊D11—48no—
204C22×Dic11—22no—
205C22×Dic11—22no—
206#4341—416no—
207D4×D11—416no—
208#4339—48no—
209C2×D44—22no—
210C2×D44—22no—
211C2×D44—22no—
212C2×D44—22no—
213C2×D44—44no—
214C2×D44—44no—
215C2×D44C2414yes—
216C2×C4×D11—24no—
217C2×Dic22—22no—
218C11×C4⋊C4—24no—
219C11×C4⋊C4—24no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4C2×D414yes—
222C11×C4⋊C4C2412yes—
223C11×C22⋊C4—24no—
224C11×C22⋊C4—24no—
225C11×C22⋊C4—24no—
226C11×C22⋊C4—24no—
227C11×C22⋊C4C2×D414yes—
228C11×C22⋊C4C2×D414yes—
229C42×C11—24no—
230C42×C11C2×D412yes—
231C42×C11C2412yes—
232#4325—216no—
233#4325—48no—
234#4323—48no—
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—22no—
241C4⋊Dic11—22no—
242C4⋊Dic11C2414yes—
243#4318—44no—
244C2×C11⋊C8—44no—
245C2×C11⋊C8C2418yes—
246#3496—111no—
247C2×#548D1111yescharacteristic, complemented
248#3308—118no—
249#3265—118no—
250#3213—112no—
251#3193—112no—
252#3186—112no—
253#3112—112no—
254#3006—112no—
255C2×#448—112no—
256#2973—111no—
257C23×C11—22no—
258C23×C11—22no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11—42no—
264C23×C11—42no—
265C23×C11—42no—
266C23×C11AGL(1,ℤ/8)14yescomplemented
267C23×C11C22×D412yes—
268C23×C11C22×D412yes—
269C23×C11C22×D411yescharacteristic
270C22×D11—24no—
271C22×D11—44no—
272C22×D11—44no—
273C22×D11—82no—
274C22×D11—82no—
275C22×D11—82no—
276C22×D11—82no—
277Q8×C11—24no—
278Q8×C11—22no—
279Q8×C11—24no—
280Q8×C11—48no—
281Q8×C11—42no—
282Q8×C11H(5,𝔽2)14yescomplemented
283D4×C11—28no—
284D4×C11—24no—
285D4×C11—48no—
286D4×C11—42no—
287D4×C11—48no—
288C2×C4×C11—24no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—24no—
292C2×C4×C11—24no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—22no—
296C2×C4×C11—41no—
297C2×C4×C11—42no—
298C2×C4×C11—41no—
299C2×C4×C11—42no—
300C2×C4×C11—41no—
301C2×C4×C11—48no—
302C2×C4×C11—48no—
303C2×C4×C11—42no—
304C2×C4×C11—42no—
305C2×C4×C11C22×D412yes—
306C2×C4×C11C22×D412yes—
307C2×C4×C11C22×D412yes—
308C2×C4×C11C22×D411yescharacteristic
309C2×C4×C11C22×D412yes—
310C2×C4×C11C2511yescharacteristic
311C22⋊D11—48no—
312C22⋊D11—48no—
313C22⋊D11—48no—
314C2×Dic11—24no—
315C2×Dic11—44no—
316C2×Dic11—44no—
317D44—28no—
318D44—44no—
319D44—82no—
320D44—82no—
321D44—82no—
322C4×D11—48no—
323Dic22—44no—
324C11⋊C8—28no—
325C2×H(5,𝔽2)—221no—
326C22×#41C2×D1111yescharacteristic, complemented
327C23×Q8C2×D1111yescharacteristic, complemented
328C2×AGL(1,ℤ/8)—114no—
329C22×SD16—114no—
330#548—24no—
331#548C2×D1118yescomplemented
332#547—114no—
333#546—224no—
334D42—114no—
335#537—221no—
336#534—221no—
337#534—221no—
338#532—112no—
339C2×#124—21no—
340C2×#124C2×D1111yescharacteristic, complemented
341C2×C22⋊Q8—21no—
342C2×C22⋊Q8C2×D1111yescharacteristic, complemented
343C2×#121—21no—
344C2×#121—112no—
345C2×#121—112no—
346C2×#121C2×D1111yescharacteristic, complemented
347C2×C4×Q8C2×D1111yescharacteristic, complemented
348C2×C4×D4—21no—
349C2×C4×D4C2×D1111yescharacteristic
350#496—114no—
351#489—114no—
352#484—114no—
353#480—114no—
354#480—114no—
355#477—114no—
356#468—118no—
357#466—118no—
358#463—118no—
359#460—114no—
360#450—114no—
361#449—118no—
362#448—114no—
363#448—114no—
364#448—118no—
365#447—114no—
366#447—114no—
367#440—118no—
368#435—118no—
369#432—112no—
370#417—114no—
371C2×#103—114no—
372#407—112no—
373C2×C22⋊C8—112no—
374C22×C11—21no—
375C22×C11—22no—
376C22×C11—21no—
377C22×C11—22no—
378C22×C11—22no—
379C22×C11—22no—
380C22×C11—22no—
381C22×C11—44no—
382C22×C11—42no—
383C22×C11—42no—
384C22×C11—42no—
385C22×C11—82no—
386C22×C11—84no—
387C22×C11C2×AGL(1,ℤ/8)12yes—
388C22×C11C2×AGL(1,ℤ/8)14yes—
389C22×C11C23×D411yescharacteristic
390C2×D11—44no—
391C2×D11—44no—
392C2×D11—44no—
393C2×D11—164no—
394C2×D11—164no—
395C4×C11—22no—
396C4×C11—24no—
397C4×C11—22no—
398C4×C11—21no—
399C4×C11—22no—
400C4×C11—22no—
401C4×C11—42no—
402C4×C11—42no—
403C4×C11C2×H(5,𝔽2)12yes—
404Dic11—44no—
405H(5,𝔽2)—448no—
406C2×#41—22no—
407C2×#41—44no—
408C2×#41—224no—
409C2×#41—222no—
410C2×#41C22×D1114yes—
411C22×Q8—21no—
412C22×Q8—22no—
413C22×Q8—44no—
414C22×Q8C22×D1111yescharacteristic
415C22×Q8C22×D1114yes—
416C22×Q8C22×D1111yescharacteristic
417C22×D4—21no—
418C22×D4—21no—
419C22×D4—112no—
420C22×D4—112no—
421C22×D4—222no—
422C22×D4—222no—
423C22×D4—224no—
424C22×D4C22⋊D1111yescharacteristic
425C22×D4C22×D1111yescharacteristic
426C23×C4—21no—
427C23×C4—21no—
428C23×C4C22×D1111yescharacteristic
429C23×C4C22×D1111yescharacteristic
430AGL(1,ℤ/8)—448no—
431C2×SD16—118no—
432C2×SD16—118no—
433C2×SD16—448no—
434C2×D8—118no—
435C2×M16—114no—
436C22×C8—114no—
437C4⋊Q8—112no—
438#127—112no—
439#124—28no—
440#124—22no—
441#124—222no—
442#124C22×D1114yes—
443#123—224no—
444#123—224no—
445C22⋊Q8—22no—
446C22⋊Q8—28no—
447C22⋊Q8—224no—
448C22⋊Q8C22×D1114yes—
449#121—28no—
450#121—22no—
451#121—114no—
452#121—114no—
453#121—114no—
454#121—222no—
455#121—222no—
456#121—222no—
457#121—222no—
458#121—222no—
459#121—224no—
460#121C22×D1114yes—
461#120—224no—
462#120—224no—
463C4×Q8—22no—
464C4×Q8C22×D1114yes—
465C4×D4—28no—
466C4×D4—114no—
467C4×D4—222no—
468C4×D4C22⋊D1114yes—
469C4×D4C22×D1114yes—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—21no—
472C2×C4⋊C4—112no—
473C2×C4⋊C4—112no—
474C2×C4⋊C4C22⋊D1111yescharacteristic
475C2×C4⋊C4C22×D1111yescharacteristic
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—222no—
481C2×C22⋊C4—222no—
482C2×C22⋊C4C22⋊D1111yescharacteristic
483C2×C22⋊C4C22⋊D1111yescharacteristic
484C2×C42—21no—
485C2×C42C22×D1111yescharacteristic
486#107—118no—
487C4⋊C8—114no—
488#103—118no—
489#103—118no—
490#102—118no—
491#102—118no—
492C22⋊C8—114no—
493C22⋊C8—114no—
494C22⋊C8—114no—
495#97—114no—
496C2×C11—24no—
497C2×C11—22no—
498C2×C11—42no—
499C2×C11—82no—
500C2×C11#348411yescharacteristic
501C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
502C2×C11#358611yescharacteristic
503D11—84no—
504C24—21no—
505C24—222no—
506C24—222no—
507C24C2×C22⋊D1111yescharacteristic
508C24C2×C22⋊D1111yescharacteristic
509#41—28no—
510#41—44no—
511#41—48no—
512#41—448no—
513#41—4416no—
514C2×Q8—24no—
515C2×Q8—21no—
516C2×Q8—24no—
517C2×Q8—21no—
518C2×Q8—28no—
519C2×Q8—44no—
520C2×Q8—42no—
521C2×Q8—44no—
522C2×Q8—48no—
523C2×Q8—222no—
524C2×Q8C23×D1112yes—
525C2×Q8C23×D1112yes—
526C2×D4—24no—
527C2×D4—24no—
528C2×D4—24no—
529C2×D4—21no—
530C2×D4—42no—
531C2×D4—44no—
532C2×D4—44no—
533C2×D4—114no—
534C2×D4—224no—
535C2×D4—224no—
536C2×D4—224no—
537C2×D4—222no—
538C2×D4—222no—
539C2×D4—222no—
540C2×D4—222no—
541C2×D4—444no—
542C2×D4—444no—
543C2×D4—4416no—
544C2×D4—448no—
545C2×D4—448no—
546C2×D4C2×C22⋊D1114yes—
547C2×D4C23×D1112yes—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—24no—
552C22×C4—24no—
553C22×C4—42no—
554C22×C4—42no—
555C22×C4—44no—
556C22×C4—44no—
557C22×C4—222no—
558C22×C4—222no—
559C22×C4—224no—
560C22×C4C2×C22⋊D1111yescharacteristic
561C22×C4C2×C22⋊D1111yescharacteristic
562C22×C4C2×C22⋊D1111yescharacteristic
563C22×C4C2×C22⋊D1112yes—
564C22×C4C2×C22⋊D1112yes—
565C22×C4C2×C22⋊D1111yescharacteristic
566C22×C4C23×D1111yescharacteristic
567C22×C4C23×D1112yes—
568C22×C4C23×D1112yes—
569SD16—2216no—
570SD16—448no—
571D8—448no—
572M16—444no—
573C2×C8—118no—
574C2×C8—444no—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—21no—
578C4⋊C4—114no—
579C4⋊C4—222no—
580C4⋊C4—222no—
581C4⋊C4—222no—
582C4⋊C4C2×C22⋊D1114yes—
583C4⋊C4C23×D1112yes—
584C22⋊C4—24no—
585C22⋊C4—24no—
586C22⋊C4—24no—
587C22⋊C4—24no—
588C22⋊C4—224no—
589C22⋊C4—224no—
590C22⋊C4—224no—
591C22⋊C4—224no—
592C22⋊C4C2×C22⋊D1114yes—
593C22⋊C4C2×C22⋊D1114yes—
594C42—24no—
595C42C2×C22⋊D1112yes—
596C42C23×D1112yes—
597C11#6157211yescharacteristic, complemented, Sylow
598C23—22no—
599C23—22no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—224no—
608C23—444no—
609C23—444no—
610C23—882no—
611C23—882no—
612C23—882no—
613C23—882no—
614C23#6700214yescomplemented
615C23C22×C22⋊D1112yes—
616C23C22×C22⋊D1112yes—
617C23C22×C22⋊D1111yescharacteristic
618Q8—24no—
619Q8—22no—
620Q8—24no—
621Q8—48no—
622Q8—42no—
623Q8—444no—
624Q8#6703714yescomplemented
625D4—28no—
626D4—24no—
627D4—48no—
628D4—42no—
629D4—48no—
630D4—228no—
631D4—444no—
632D4—448no—
633D4—448no—
634D4—448no—
635D4—882no—
636D4—882no—
637D4—882no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—41no—
647C2×C4—42no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—41no—
651C2×C4—48no—
652C2×C4—48no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—224no—
656C2×C4—448no—
657C2×C4—444no—
658C2×C4—444no—
659C2×C4C22×C22⋊D1112yes—
660C2×C4C22×C22⋊D1111yescharacteristic
661C2×C4C22×C22⋊D1112yes—
662C2×C4C22×C22⋊D1112yes—
663C2×C4C22×C22⋊D1112yes—
664C2×C4C24×D1111yescharacteristic
665C8—228no—
666C22—21no—
667C22—22no—
668C22—21no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—44no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—82no—
678C22—84no—
679C22—444no—
680C22—444no—
681C22—444no—
682C22—1764no—
683C22—1764no—
684C22C2×#6700212yes—
685C22C2×#6700214yes—
686C22C23×C22⋊D1111yescharacteristic
687C4—22no—
688C4—24no—
689C4—22no—
690C4—21no—
691C4—22no—
692C4—22no—
693C4—42no—
694C4—42no—
695C4—444no—
696C4C2×#6703712yes—
697C2—22no—
698C2—24no—
699C2—42no—
700C2—82no—
701C2—884no—
702C2#1308225111yescharacteristic
703C2C22×#6700211yescharacteristic
704C2#1308340311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#548C2
socleC22×C11C23×D4
hypercenterC2×#548D11
hypocenterC11#61572
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ C2×#548

Complements

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

NH ≅ G/Ntype
1. #13082380C2semidirect
2. #13080607C2semidirect
3. #13080112C2semidirect
4. #13079603C2semidirect
5. #13079418C2semidirect
6. #13079364C2semidirect
7. #13078738C2semidirect
8. #13077868C2semidirect
9. C2×#10622840C2semidirect
10. #13077645C2semidirect
11. C2×C11×#548C2semidirect
12. C22×C11×#41C22semidirect
13. C23×Q8×C11C22semidirect
16. C11×#548C22semidirect
18. C2×C11×#124C22semidirect
20. C2×C11×C22⋊Q8C22semidirect
22. C2×C11×#121C22semidirect
23. C2×C4×Q8×C11C22semidirect
26. C2×#67002C22semidirect
27. C22×#4325C22semidirect
30. #10623086C22semidirect
32. D4×D44C22semidirect
37. #10622851C22semidirect
38. #10622845C22semidirect
39. #10622840C22semidirect
40. #10622840C22semidirect
41. #10622840C22semidirect
42. C2×#66899C22semidirect
43. #10622830C22semidirect
44. #10622820C22semidirect
45. C2×C22⋊(C11⋊C8)C22semidirect
46. #10622671C22semidirect
47. #10622670C22semidirect
48. #10622668C22semidirect
49. #10622662C22semidirect
50. #10622659C22semidirect
51. #10622657C22semidirect
52. #10622651C22semidirect
53. #10622649C22semidirect
54. #10622646C22semidirect
55. #10622640C22semidirect
56. #10622639C22semidirect
57. #10622634C22semidirect
58. #10622624C22semidirect
59. #10622580C22semidirect
60. #10622539C22semidirect
247. C2×#548D11semidirect
266. C23×C11AGL(1,ℤ/8)semidirect
282. Q8×C11H(5,𝔽2)semidirect
326. C22×#41C2×D11semidirect
327. C23×Q8C2×D11semidirect
331. #548C2×D11semidirect
340. C2×#124C2×D11semidirect
342. C2×C22⋊Q8C2×D11semidirect
346. C2×#121C2×D11semidirect
347. C2×C4×Q8C2×D11semidirect
597. C11#61572semidirect
614. C23#67002semidirect
624. Q8#67037semidirect

Maximal subgroups

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

subgroupindex
#130823802
#130806072
#130801122
#130796032
#130794182
#130793642
#130787382
#130778682
C2×#106228402
#130776452
C2×C11×#5482
#6157211