Finite Group Databasebeta

← #15638631

Subgroups — #15638631

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
1C2×#10623083C211yesmaximal, characteristic, complemented
2#13080601C218yesmaximal, complemented
3#13080107C218yesmaximal, complemented
4#13079599C212yesmaximal, complemented
5#13079422C212yesmaximal, complemented
6#13079364C212yesmaximal, complemented
7#13078734C212yesmaximal, complemented
8#13077866C212yesmaximal, complemented
9C2×#10622653C212yesmaximal, complemented
10#13077645C211yesmaximal, characteristic, complemented
11C11×#3496C211yesmaximal, characteristic, complemented
12C2×C11×H(5,𝔽2)—21no—
13C22×#4339C2211yescharacteristic, complemented
14C23×Dic22C2211yescharacteristic, complemented
15C11×#547C2214yescomplemented
16C11×#546—24no—
17D42×C11C2214yescomplemented
18C11×#537—21no—
19C11×#534—21no—
20C11×#534—21no—
21C11×#532C2212yes—
22C2×C11×#121C2212yes—
23C2×C11×#121C2212yes—
24C2×C4×D4×C11C2211yescharacteristic
25C2×#66992—21no—
26C22×#4324C2214yescomplemented
27C2×#66985C2214yescomplemented
28C2×#66983C2211yescharacteristic, complemented
29C2×#66977C2211yescharacteristic, complemented
30#10623083—24no—
31#10623083C2218yescomplemented
32C2×#66949—21no—
33C2×#66938—21no—
34C2×(C22⋊D11)⋊C4—21no—
35C2×#66928C2211yescharacteristic, complemented
36C2×C4×Dic22C2211yescharacteristic, complemented
37#10622831C2214yescomplemented
38#10622830C2214yescomplemented
39#10622820C2212yescomplemented
40C2×C22⋊(C11⋊C8)C2212yescomplemented
41#10622704C2214yescomplemented
42#10622702C2214yescomplemented
43#10622688C2214yescomplemented
44#10622687C2214yescomplemented
45#10622655C2218yescomplemented
46#10622653C2218yescomplemented
47#10622653C2214yescomplemented
48#10622653C2214yescomplemented
49#10622651C2218yescomplemented
50#10622650C2218yescomplemented
51#10622649C2214yescomplemented
52#10622646C2214yescomplemented
53#10622631C2218yescomplemented
54#10622629C2218yescomplemented
55#10622624C2218yescomplemented
56#10622583C2214yescomplemented
57C2×#66874C2214yescomplemented
58#10622580C2214yescomplemented
59#10622579C2214yescomplemented
60#10622539C2212yescomplemented
61C11×H(5,𝔽2)—48no—
62C2×C11×#41—24no—
63C2×C11×#41—22no—
64C22×D4×C11—22no—
65C22×D4×C11—22no—
66C22×D4×C11—24no—
67C22×D4×C11D411yescharacteristic
68C22×D4×C11C2312yes—
69C22×D4×C11C2312yes—
70C23×C4×C11C2311yescharacteristic
71C23×C4×C11C2311yescharacteristic
72C22×C22⋊D11—21no—
73C22×C22⋊D11—21no—
74C23×Dic11—21no—
75C2×#4339—22no—
76C2×#4339—44no—
77C2×#4339C2314yes—
78C22×D44C2311yescharacteristic
79C22×C4×D11—21no—
80C22×Dic22—21no—
81C22×Dic22—22no—
82C22×Dic22—44no—
83C22×Dic22C2311yescharacteristic
84C22×Dic22C2314yes—
85C22×Dic22C2311yescharacteristic
86C11×C4⋊Q8C2312yes—
87C11×#127C2312yes—
88C11×#124—22no—
89C11×#123—24no—
90C11×#123—24no—
91C11×C22⋊Q8—24no—
92C11×#121—22no—
93C11×#121—22no—
94C11×#121—22no—
95C11×#121—22no—
96C11×#121—22no—
97C11×#121—24no—
98C11×#121C2314yes—
99C11×#121C2314yes—
100C11×#121C2314yes—
101C11×#120—24no—
102C11×#120—24no—
103C4×D4×C11—22no—
104C4×D4×C11D414yes—
105C4×D4×C11C2314yes—
106C4×D4×C11C2314yes—
107C2×C11×C4⋊C4D411yescharacteristic
108C2×C11×C4⋊C4C2312yes—
109C2×C11×C4⋊C4C2312yes—
110C2×C11×C22⋊C4—22no—
111C2×C11×C22⋊C4—22no—
112C2×C11×C22⋊C4D411yescharacteristic
113C2×C11×C22⋊C4D411yescharacteristic
114C2×C42×C11C2311yescharacteristic
115C2×C22⋊Dic11—21no—
116#66992—28no—
117C2×#4324—48no—
118C2×#4324C2318yes—
119C2×#4324C2318yes—
120#66985—48no—
121C2×#4323C2318yes—
122#66983—22no—
123#66983C2314yes—
124C2×(C2×D11)⋊C4—21no—
125C2×(C2×D11)⋊C4—21no—
126C2×(C2×D11)⋊C4—21no—
127C2×C4⋊Dic11C2311yescharacteristic
128#66977—22no—
129#66977C2314yes—
130C2×Dic11⋊C4—21no—
131C2×Dic11⋊C4—21no—
132C2×C4×Dic11—21no—
133C2×#4318C2314yes—
134C22×C11⋊C8C2314yes—
135#66949—28no—
136#66938—28no—
137(C22⋊D11)⋊C4—28no—
138#66928—22no—
139#66928C2314yes—
140C4×Dic22—22no—
141C4×Dic22C2314yes—
142#66896C2318yes—
143C22⋊(C11⋊C8)C2314yes—
144C22⋊(C11⋊C8)C2314yes—
145C22⋊(C11⋊C8)C2314yes—
146#66874C2318yes—
147#66874C2318yes—
148#66873C2318yes—
149#66871C2318yes—
150C4⋊(C11⋊C8)C2314yes—
151#66867C2314yes—
152#61572—111nomaximal, Sylow
153C24×C11—22no—
154C24×C11—22no—
155C24×C11C2×D411yescharacteristic
156C24×C11C2×D411yescharacteristic
157C23×D11—21no—
158C11×#41—48no—
159C11×#41—416no—
160C2×Q8×C11—22no—
161C2×D4×C11—24no—
162C2×D4×C11—24no—
163C2×D4×C11—24no—
164C2×D4×C11—24no—
165C2×D4×C11—22no—
166C2×D4×C11—22no—
167C2×D4×C11—22no—
168C2×D4×C11—22no—
169C2×D4×C11—44no—
170C2×D4×C11—44no—
171C2×D4×C11—416no—
172C2×D4×C11—48no—
173C2×D4×C11—48no—
174C2×D4×C11C2×D414yes—
175C2×D4×C11C2414yes—
176C22×C4×C11—22no—
177C22×C4×C11—22no—
178C22×C4×C11—24no—
179C22×C4×C11—42no—
180C22×C4×C11—42no—
181C22×C4×C11C2×D411yescharacteristic
182C22×C4×C11C2×D411yescharacteristic
183C22×C4×C11C2×D411yescharacteristic
184C22×C4×C11C2×D412yes—
185C22×C4×C11C2×D411yescharacteristic
186C22×C4×C11C2×D412yes—
187C22×C4×C11C2411yescharacteristic
188C22×C4×C11C2412yes—
189C22×C4×C11C2412yes—
190C2×C22⋊D11—24no—
191C2×C22⋊D11—24no—
192C2×C22⋊D11—44no—
193C2×C22⋊D11—44no—
194C22×Dic11—21no—
195C22×Dic11—24no—
196C22×Dic11—21no—
197C22×Dic11—21no—
198C22×Dic11—44no—
199#4339—28no—
200#4339—44no—
201#4339—48no—
202C2×D44—21no—
203C2×D44—42no—
204C2×D44C2412yes—
205C2×C4×D11—24no—
206C2×C4×D11—44no—
207C2×Dic22—24no—
208C2×Dic22—28no—
209C2×Dic22—21no—
210C2×Dic22—21no—
211C2×Dic22—24no—
212C2×Dic22—44no—
213C2×Dic22—42no—
214C2×Dic22—48no—
215C2×Dic22—44no—
216C2×Dic22C2412yes—
217C2×Dic22C2412yes—
218C11×C4⋊C4—22no—
219C11×C4⋊C4—22no—
220C11×C4⋊C4—22no—
221C11×C4⋊C4C2×D414yes—
222C11×C4⋊C4C2414yes—
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×C11C2×D412yes—
230C42×C11C2412yes—
231C22⋊Dic11—24no—
232#4324—216no—
233#4324—48no—
234#4323—48no—
235(C2×D11)⋊C4—24no—
236(C2×D11)⋊C4—24no—
237(C2×D11)⋊C4—24no—
238C4⋊Dic11—21no—
239C4⋊Dic11C2412yes—
240Dic11⋊C4—24no—
241Dic11⋊C4—24no—
242C4×Dic11—24no—
243#4318—44no—
244C2×C11⋊C8—44no—
245C2×C11⋊C8C2418yes—
246#3496D1111yescharacteristic, complemented
247C2×#548—111no—
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—24no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11—44no—
264C23×C11—44no—
265C23×C11—82no—
266C23×C11—82no—
267C23×C11—82no—
268C23×C11—82no—
269C23×C11AGL(1,ℤ/8)14yescomplemented
270C23×C11C22×D412yes—
271C23×C11C22×D412yes—
272C23×C11C22×D411yescharacteristic
273C22×D11—22no—
274C22×D11—42no—
275C22×D11—42no—
276C22×D11—42no—
277Q8×C11—44no—
278D4×C11—28no—
279D4×C11—28no—
280D4×C11—44no—
281D4×C11—48no—
282D4×C11—48no—
283D4×C11—48no—
284D4×C11—82no—
285D4×C11—82no—
286D4×C11—82no—
287C2×C4×C11—22no—
288C2×C4×C11—24no—
289C2×C4×C11—24no—
290C2×C4×C11—22no—
291C2×C4×C11—24no—
292C2×C4×C11—42no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—42no—
296C2×C4×C11—41no—
297C2×C4×C11—48no—
298C2×C4×C11—44no—
299C2×C4×C11—44no—
300C2×C4×C11C22×D412yes—
301C2×C4×C11C22×D412yes—
302C2×C4×C11C22×D412yes—
303C2×C4×C11C22×D411yescharacteristic
304C2×C4×C11C22×D412yes—
305C2×C4×C11C2511yescharacteristic
306C22⋊D11—48no—
307C22⋊D11—48no—
308C2×Dic11—24no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—48no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315D44—24no—
316D44—42no—
317C4×D11—48no—
318Dic22—24no—
319Dic22—22no—
320Dic22—24no—
321Dic22—48no—
322Dic22—42no—
323Dic22H(5,𝔽2)14yescomplemented
324C11⋊C8—28no—
325C2×H(5,𝔽2)—21no—
326C22×#41—111no—
327C23×Q8—111no—
328C2×AGL(1,ℤ/8)—114no—
329C22×SD16—114no—
330#548—118no—
331#548—224no—
332#547C2×D1114yescomplemented
333#546—24no—
334D42C2×D1114yescomplemented
335#537—21no—
336#534—21no—
337#534—21no—
338#532C2×D1112yes—
339C2×#124—111no—
340C2×#124—221no—
341C2×C22⋊Q8—111no—
342C2×C22⋊Q8—221no—
343C2×#121—111no—
344C2×#121—221no—
345C2×#121C2×D1112yes—
346C2×#121C2×D1112yes—
347C2×C4×Q8—111no—
348C2×C4×D4—221no—
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—44no—
383C22×C11—44no—
384C22×C11—44no—
385C22×C11—82no—
386C22×C11—164no—
387C22×C11—164no—
388C22×C11C2×AGL(1,ℤ/8)12yes—
389C22×C11C2×AGL(1,ℤ/8)14yes—
390C22×C11C23×D411yescharacteristic
391C2×D11—42no—
392C2×D11—42no—
393C2×D11—42no—
394C2×D11—84no—
395C4×C11—22no—
396C4×C11—21no—
397C4×C11—22no—
398C4×C11—22no—
399C4×C11—22no—
400C4×C11—44no—
401C4×C11C2×H(5,𝔽2)12yes—
402Dic11—24no—
403Dic11—42no—
404Dic11—42no—
405H(5,𝔽2)—48no—
406C2×#41—24no—
407C2×#41—22no—
408C2×#41—114no—
409C2×#41—222no—
410C2×#41—444no—
411C22×Q8—111no—
412C22×Q8—114no—
413C22×Q8—111no—
414C22×Q8—221no—
415C22×Q8—222no—
416C22×Q8—444no—
417C22×D4—22no—
418C22×D4—22no—
419C22×D4—24no—
420C22×D4—111no—
421C22×D4—221no—
422C22×D4—221no—
423C22×D4C22⋊D1111yescharacteristic
424C22×D4C22×D1112yes—
425C22×D4C22×D1112yes—
426C23×C4—221no—
427C23×C4—221no—
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⋊Q8C22×D1112yes—
438#127C22×D1112yes—
439#124—22no—
440#124—114no—
441#124—228no—
442#124—222no—
443#123—24no—
444#123—24no—
445C22⋊Q8—24no—
446C22⋊Q8—114no—
447C22⋊Q8—222no—
448C22⋊Q8—228no—
449#121—22no—
450#121—22no—
451#121—22no—
452#121—22no—
453#121—22no—
454#121—24no—
455#121—114no—
456#121—228no—
457#121—222no—
458#121C22×D1114yes—
459#121C22×D1114yes—
460#121C22×D1114yes—
461#120—24no—
462#120—24no—
463C4×Q8—114no—
464C4×Q8—222no—
465C4×D4—22no—
466C4×D4—228no—
467C4×D4C22⋊D1114yes—
468C4×D4C22×D1114yes—
469C4×D4C22×D1114yes—
470C2×C4⋊C4—111no—
471C2×C4⋊C4—221no—
472C2×C4⋊C4—221no—
473C2×C4⋊C4C22⋊D1111yescharacteristic
474C2×C4⋊C4C22×D1112yes—
475C2×C4⋊C4C22×D1112yes—
476C2×C22⋊C4—22no—
477C2×C22⋊C4—22no—
478C2×C22⋊C4—221no—
479C2×C22⋊C4—221no—
480C2×C22⋊C4—221no—
481C2×C22⋊C4—221no—
482C2×C22⋊C4C22⋊D1111yescharacteristic
483C2×C22⋊C4C22⋊D1111yescharacteristic
484C2×C42—221no—
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—22no—
497C2×C11—24no—
498C2×C11—42no—
499C2×C11—84no—
500C2×C11#348411yescharacteristic
501C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
502C2×C11#358611yescharacteristic
503D11—82no—
504C24—22no—
505C24—22no—
506C24—221no—
507C24C2×C22⋊D1111yescharacteristic
508C24C2×C22⋊D1111yescharacteristic
509#41—48no—
510#41—416no—
511#41—228no—
512#41—444no—
513#41—448no—
514C2×Q8—22no—
515C2×Q8—112no—
516C2×Q8—112no—
517C2×Q8—224no—
518C2×Q8—228no—
519C2×Q8—221no—
520C2×Q8—224no—
521C2×Q8—221no—
522C2×Q8—444no—
523C2×Q8—442no—
524C2×Q8—444no—
525C2×Q8—448no—
526C2×D4—24no—
527C2×D4—24no—
528C2×D4—24no—
529C2×D4—24no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—44no—
535C2×D4—44no—
536C2×D4—416no—
537C2×D4—48no—
538C2×D4—48no—
539C2×D4—112no—
540C2×D4—224no—
541C2×D4—224no—
542C2×D4—221no—
543C2×D4—442no—
544C2×D4—444no—
545C2×D4—444no—
546C2×D4C2×C22⋊D1114yes—
547C2×D4C23×D1114yes—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—24no—
551C22×C4—42no—
552C22×C4—42no—
553C22×C4—221no—
554C22×C4—221no—
555C22×C4—221no—
556C22×C4—224no—
557C22×C4—224no—
558C22×C4—444no—
559C22×C4—444no—
560C22×C4C2×C22⋊D1111yescharacteristic
561C22×C4C2×C22⋊D1111yescharacteristic
562C22×C4C2×C22⋊D1112yes—
563C22×C4C2×C22⋊D1112yes—
564C22×C4C2×C22⋊D1111yescharacteristic
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—22no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—112no—
579C4⋊C4—221no—
580C4⋊C4—224no—
581C4⋊C4—224no—
582C4⋊C4C2×C22⋊D1114yes—
583C4⋊C4C23×D1114yes—
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—224no—
595C42C2×C22⋊D1112yes—
596C42C23×D1112yes—
597C11#6157211yescharacteristic, complemented, Sylow
598C23—22no—
599C23—24no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—44no—
605C23—44no—
606C23—82no—
607C23—82no—
608C23—82no—
609C23—82no—
610C23—222no—
611C23—442no—
612C23—442no—
613C23—442no—
614C23#6698514yescomplemented
615C23C22×C22⋊D1112yes—
616C23C22×C22⋊D1112yes—
617C23C22×C22⋊D1111yescharacteristic
618Q8—44no—
619Q8—114no—
620Q8—224no—
621Q8—222no—
622Q8—224no—
623Q8—448no—
624Q8—442no—
625D4—28no—
626D4—28no—
627D4—44no—
628D4—48no—
629D4—48no—
630D4—48no—
631D4—82no—
632D4—82no—
633D4—82no—
634D4—224no—
635D4—442no—
636D4—448no—
637D4—448no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—41no—
644C2×C4—42no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—41no—
648C2×C4—48no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—224no—
652C2×C4—222no—
653C2×C4—222no—
654C2×C4—222no—
655C2×C4—448no—
656C2×C4—448no—
657C2×C4—442no—
658C2×C4—442no—
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—44no—
675C22—44no—
676C22—44no—
677C22—82no—
678C22—164no—
679C22—164no—
680C22—442no—
681C22—442no—
682C22—442no—
683C22—884no—
684C22C2×#6698512yes—
685C22C2×#6698514yes—
686C22C23×C22⋊D1111yescharacteristic
687C4—22no—
688C4—21no—
689C4—22no—
690C4—22no—
691C4—22no—
692C4—44no—
693C4—224no—
694C4—442no—
695C4—442no—
696C4D11×H(5,𝔽2)12yes—
697C2—22no—
698C2—24no—
699C2—42no—
700C2—84no—
701C2—882no—
702C2#1308224711yescharacteristic
703C2C22×#6698511yescharacteristic
704C2#1308340211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3496C2
socleC22×C11C23×D4
hypercenter#3496D11
hypocenterC11#61572
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×#10623083C2semidirect
2. #13080601C2semidirect
3. #13080107C2semidirect
4. #13079599C2semidirect
5. #13079422C2semidirect
6. #13079364C2semidirect
7. #13078734C2semidirect
8. #13077866C2semidirect
9. C2×#10622653C2semidirect
10. #13077645C2semidirect
11. C11×#3496C2semidirect
13. C22×#4339C22semidirect
14. C23×Dic22C22semidirect
15. C11×#547C22semidirect
17. D42×C11C22semidirect
26. C22×#4324C22semidirect
27. C2×#66985C22semidirect
28. C2×#66983C22semidirect
29. C2×#66977C22semidirect
31. #10623083C22semidirect
35. C2×#66928C22semidirect
36. C2×C4×Dic22C22semidirect
37. #10622831C22semidirect
38. #10622830C22semidirect
39. #10622820C22semidirect
40. C2×C22⋊(C11⋊C8)C22semidirect
41. #10622704C22semidirect
42. #10622702C22semidirect
43. #10622688C22semidirect
44. #10622687C22semidirect
45. #10622655C22semidirect
46. #10622653C22semidirect
47. #10622653C22semidirect
48. #10622653C22semidirect
49. #10622651C22semidirect
50. #10622650C22semidirect
51. #10622649C22semidirect
52. #10622646C22semidirect
53. #10622631C22semidirect
54. #10622629C22semidirect
55. #10622624C22semidirect
56. #10622583C22semidirect
57. C2×#66874C22semidirect
58. #10622580C22semidirect
59. #10622579C22semidirect
60. #10622539C22semidirect
246. #3496D11semidirect
269. C23×C11AGL(1,ℤ/8)semidirect
323. Dic22H(5,𝔽2)semidirect
332. #547C2×D11semidirect
334. D42C2×D11semidirect
597. C11#61572semidirect
614. C23#66985semidirect

Maximal subgroups

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

subgroupindex
C2×#106230832
#130806012
#130801072
#130795992
#130794222
#130793642
#130787342
#130778662
C2×#106226532
#130776452
C11×#34962
#6157211