Finite Group Databasebeta

← #14913734

Subgroups — #14913734

Order 2816.

2340 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623073C211yesmaximal, characteristic
2#13071733C214yesmaximal, complemented
3#13071686C212yesmaximal
4#13071672C211yesmaximal, characteristic, complemented
5#13071643C212yesmaximal, complemented
6#13071577C212yesmaximal, complemented
7#13071575C211yesmaximal, characteristic, complemented
8#13071511C212yesmaximal, complemented
9#13071183C211yesmaximal, characteristic, complemented
10#13071170C214yesmaximal, complemented
11#13071163C212yesmaximal
12#13071144C212yesmaximal, complemented
13C4×#66940C212yesmaximal, complemented
14C4×#66940C211yesmaximal, characteristic, complemented
15C4×D4×Dic11C211yesmaximal, characteristic
16#117×Dic11C212yesmaximal, complemented
17C11×#2354C211yesmaximal, characteristic
18C2×C4×D4×C11C2211yescharacteristic
19C2×C11×#117C2212yes—
20C2×#66989C2212yes—
21C2×D4×Dic11C2211yescharacteristic
22C2×D4×Dic11C2211yescharacteristic
23C2×#66979C2212yes—
24C2×#66977C2212yes—
25C22×C4×Dic11C2212yes—
26#10623073C4116yescomplemented
27C2×#66940C2211yescharacteristic
28C2×#66940C2211yescharacteristic
29C2×#66940C2212yes—
30C2×#66940C2212yes—
31C2×#66932C2214yes—
32C2×#66922C2211yescharacteristic
33C2×C4×Dic22C2212yes—
34C2×C4×Dic22C2211yescharacteristic
35C11×#390C2212yes—
36C11×#388C2214yes—
37C11×#384C2211yescharacteristic
38C11×#380C2212yes—
39C4×C11×C4⋊C4C2211yescharacteristic
40C4×C11×C4⋊C4C2212yes—
41C4×C22⋊Dic11C2212yes—
42#10622591C2214yes—
43#10622590C2212yes—
44C4⋊C4×Dic11C2212yes—
45C4⋊C4×Dic11C2212yes—
46C4⋊C4×Dic11C2212yes—
47C4⋊C4×Dic11C2212yes—
48C4⋊C4×Dic11C2211yescharacteristic
49C4⋊C4×Dic11C2212yes—
50C4⋊C4×Dic11C2211yescharacteristic
51C4⋊C4×Dic11C2211yescharacteristic
52C4⋊C4×Dic11C2211yescharacteristic
53#10622587C2212yes—
54#10622587C2212yes—
55#10622586C2212yes—
56#10622586C2212yes—
57#10622586C2212yes—
58#10622559C2214yes—
59#10622558C2214yes—
60#10622557C2214yes—
61#10622557C2214yes—
62#10622557C2214yes—
63C22⋊C4×Dic11C2214yes—
64C22⋊C4×Dic11C2214yes—
65C22⋊C4×Dic11C2212yes—
66C22⋊C4×Dic11C2214yes—
67C22⋊C4×Dic11C2212yes—
68C4×C4⋊Dic11C2211yescharacteristic
69#10622546C2214yes—
70#10622545C2214yes—
71C4×Dic11⋊C4C2214yes—
72C4×Dic11⋊C4C2212yes—
73C42×Dic11C2212yes—
74C42×Dic11C2214yes—
75C42×Dic11C2211yescharacteristic
76#10622542C2212yes—
77#10622267C2214yes—
78#10622265C2214yes—
79#10622264C2214yes—
80#10622262C2214yes—
81#10622262C2212yes—
82#10622262C2212yes—
83#10622262C2214yes—
84C22×D4×C11C2311yescharacteristic
85C23×C4×C11C2312yes—
86C23×Dic11C2312yes—
87C23×Dic11C2312yes—
88C22×Dic22C2312yes—
89C22×Dic22C2311yescharacteristic
90C4×D4×C11C2×C418yes—
91C11×#117—28no—
92C2×C11×C4⋊C4C2311yescharacteristic
93C2×C11×C4⋊C4C2312yes—
94C2×C11×C4⋊C4C2312yes—
95C2×C11×C4⋊C4C2312yes—
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C22⋊C4C2314yes—
99C2×C11×C22⋊C4C2314yes—
100C2×C11×C22⋊C4C2312yes—
101C2×C42×C11C2312yes—
102C2×C42×C11C2314yes—
103C2×C42×C11C2311yescharacteristic
104C2×C22⋊Dic11C2312yes—
105C2×C22⋊Dic11C2312yes—
106C2×C22⋊Dic11C2314yes—
107C2×C22⋊Dic11C2314yes—
108#66989C2×C4116yes—
109D4×Dic11—24no—
110D4×Dic11—24no—
111#66979C2×C4116yescomplemented
112C2×C4⋊Dic11C2311yescharacteristic
113C2×C4⋊Dic11C2311yescharacteristic
114C2×C4⋊Dic11C2312yes—
115C2×C4⋊Dic11C2312yes—
116C2×C4⋊Dic11C2311yescharacteristic
117#66977C2×C4116yescomplemented
118C2×Dic11⋊C4C2314yes—
119C2×Dic11⋊C4C2312yes—
120C2×Dic11⋊C4C2312yes—
121C2×Dic11⋊C4C2314yes—
122C2×Dic11⋊C4C2312yes—
123C2×Dic11⋊C4C2314yes—
124C2×C4×Dic11—28no—
125C2×C4×Dic11C2314yes—
126C2×C4×Dic11C2312yes—
127C2×C4×Dic11C2312yes—
128C2×C4×Dic11C2314yes—
129C2×C4×Dic11C2311yescharacteristic
130C2×C4×Dic11C2312yes—
131C2×C4×Dic11C2311yescharacteristic
132C2×C4×Dic11C2312yes—
133C2×C4×Dic11C2312yes—
134C2×C4×Dic11C2311yescharacteristic
135C2×C4×Dic11C2312yes—
136C2×C4×Dic11C2312yes—
137C2×C4×Dic11C2311yescharacteristic
138C2×C4×Dic11C2314yes—
139C2×C4×Dic11C2312yes—
140C2×C4×Dic11C2314yes—
141C2×C4×Dic11C2311yescharacteristic
142C2×C4×Dic11C2311yescharacteristic
143#66940—24no—
144#66940—28no—
145#66940—24no—
146#66940C2×C4116yescomplemented
147#66932C2×C4132yescomplemented
148#66922C2×C418yescomplemented
149C4×Dic22—28no—
150C4×Dic22C2×C418yescomplemented
151C11×#95C2314yes—
152C11×#95C2312yes—
153C11⋊#95C2312yes—
154C11⋊#95C2312yes—
155C11⋊#95C2312yes—
156C11⋊#95C2314yes—
157C11⋊#95C2312yes—
158C11⋊#95C2314yes—
159C11⋊#95C2314yes—
160C11⋊#95C2314yes—
161C11⋊#95C2314yes—
162C11⋊#95C2314yes—
163C11⋊#95C2312yes—
164C11⋊#95C2314yes—
165C4×#556—111nomaximal, Sylow
166C24×C11C2412yes—
167C2×D4×C11—22no—
168C2×D4×C11—22no—
169C2×D4×C11C22×C414yes—
170C22×C4×C11—24no—
171C22×C4×C11—24no—
172C22×C4×C11C22×C418yes—
173C22×C4×C11C2414yes—
174C22×C4×C11C2412yes—
175C22×C4×C11C2412yes—
176C22×C4×C11C2411yescharacteristic
177C22×C4×C11C2412yes—
178C22×C4×C11C2411yescharacteristic
179C22×C4×C11C2411yescharacteristic
180C22×Dic11—24no—
181C22×Dic11—24no—
182C22×Dic11—24no—
183C22×Dic11—24no—
184C22×Dic11—24no—
185C22×Dic11—42no—
186C22×Dic11C2412yes—
187C22×Dic11C2411yescharacteristic
188C22×Dic11C2412yes—
189C22×Dic11C2412yes—
190C22×Dic11C2414yes—
191C22×Dic11C2411yescharacteristic
192C22×Dic11C2412yes—
193C22×Dic11C2411yescharacteristic
194C22×Dic11C2411yescharacteristic
195C2×Dic22—24no—
196C2×Dic22—22no—
197C2×Dic22—22no—
198C2×Dic22—24no—
199C2×Dic22C22×C414yes—
200C2×Dic22C22×C418yes—
201C11×C4⋊C4—22no—
202C11×C4⋊C4—24no—
203C11×C4⋊C4—24no—
204C11×C4⋊C4—42no—
205C11×C4⋊C4C22×C414yes—
206C11×C4⋊C4#4114yes—
207C11×C22⋊C4—28no—
208C11×C22⋊C4—44no—
209C11×C22⋊C4C22×C418yes—
210C42×C11—24no—
211C42×C11—28no—
212C42×C11C22×C414yes—
213C22⋊Dic11—24no—
214C22⋊Dic11—24no—
215C22⋊Dic11C22×C4116yes—
216C22⋊Dic11C22×C4116yes—
217C4⋊Dic11—22no—
218C4⋊Dic11C22×C414yes—
219C4⋊Dic11C22×C418yes—
220C4⋊Dic11C22×C418yes—
221C4⋊Dic11#4114yes—
222Dic11⋊C4—28no—
223Dic11⋊C4—24no—
224Dic11⋊C4—28no—
225Dic11⋊C4—24no—
226Dic11⋊C4C22×C418yes—
227Dic11⋊C4C22×C4116yes—
228C4×Dic11—28no—
229C4×Dic11—24no—
230C4×Dic11—28no—
231C4×Dic11—24no—
232C4×Dic11—24no—
233C4×Dic11—24no—
234C4×Dic11—22no—
235C4×Dic11—24no—
236C4×Dic11—22no—
237C4×Dic11—24no—
238C4×Dic11—22no—
239C4×Dic11—41no—
240C4×Dic11—42no—
241C4×Dic11—44no—
242C4×Dic11C22×C418yes—
243C4×Dic11C22×C4116yes—
244C4×Dic11#4114yes—
245C4×Dic11#4114yes—
246C2×#556—111no—
247#2373—114no—
248#2367—112no—
249#2365—111no—
250#2362—112no—
251#2356—112no—
252#2355—111no—
253#2354D1111yescharacteristic
254#2347—112no—
255C4×C4⋊Q8—111no—
256C4×#126—114no—
257C4×#124—112no—
258C4×C22⋊Q8—112no—
259C42×Q8—112no—
260C42×Q8—111no—
261C42×D4—111no—
262C4×#117—112no—
263C23×C11—22no—
264C23×C11—22no—
265C23×C11—22no—
266C23×C11—22no—
267C23×C11—22no—
268C23×C11—22no—
269C23×C11C23×C414yes—
270C23×C11C2511yescharacteristic
271D4×C11—28no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—21no—
276C2×C4×C11—22no—
277C2×C4×C11—21no—
278C2×C4×C11—216no—
279C2×C4×C11—22no—
280C2×C4×C11—24no—
281C2×C4×C11—22no—
282C2×C4×C11—24no—
283C2×C4×C11—22no—
284C2×C4×C11—24no—
285C2×C4×C11C23×C414yes—
286C2×C4×C11C23×C412yes—
287C2×C4×C11C23×C412yes—
288C2×C4×C11C23×C412yes—
289C2×C4×C11C2×#4114yes—
290C2×C4×C11C2×#4112yes—
291C2×C4×C11C2×#4112yes—
292C2×C4×C11C2×#4112yes—
293C2×C4×C11C2×#4112yes—
294C2×Dic11—21no—
295C2×Dic11—22no—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—24no—
299C2×Dic11—24no—
300C2×Dic11—21no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—21no—
304C2×Dic11—22no—
305C2×Dic11—21no—
306C2×Dic11—22no—
307C2×Dic11—21no—
308C2×Dic11—21no—
309C2×Dic11—22no—
310C2×Dic11—21no—
311C2×Dic11—22no—
312C2×Dic11—48no—
313C2×Dic11—48no—
314C2×Dic11C23×C414yes—
315C2×Dic11C23×C414yes—
316C2×Dic11C23×C418yes—
317C2×Dic11C2×#4112yes—
318C2×Dic11C2×#4114yes—
319C2×Dic11C2×#4112yes—
320C2×Dic11C2×#4112yes—
321C2×Dic11C2×#4112yes—
322C2×Dic112−1+412yes—
323Dic22—216no—
324Dic22—28no—
325#556—1116no—
326C2×C4⋊Q8—111no—
327C2×#126—114no—
328C2×#124—112no—
329C2×C22⋊Q8—112no—
330C2×C4×Q8—112no—
331C2×C4×Q8—112no—
332C2×C4×Q8—111no—
333C2×C4×Q8—111no—
334C2×C4×Q8—111no—
335C2×C4×Q8—112no—
336C2×C4×D4—111no—
337C2×C4×D4—111no—
338C2×C4×D4C2×D1111yescharacteristic
339C2×#117—112no—
340C2×#117C2×D1112yes—
341C22×C42—112no—
342#391—112no—
343#391—112no—
344#391—112no—
345#390C2×D1112yes—
346#389—112no—
347#389—112no—
348#389—112no—
349#388—114no—
350#388—114no—
351#388—114no—
352#388—114no—
353#388C2×D1114yes—
354#387—114no—
355#387—114no—
356#387—114no—
357#387—114no—
358#385—114no—
359#384C2×D1111yescharacteristic
360#383—114no—
361#382—112no—
362#380C2×D1112yes—
363C4×C4⋊C4—112no—
364C4×C4⋊C4—112no—
365C4×C4⋊C4—111no—
366C4×C4⋊C4—112no—
367C4×C4⋊C4—112no—
368C4×C4⋊C4—111no—
369C4×C4⋊C4—112no—
370C4×C4⋊C4—111no—
371C4×C4⋊C4—111no—
372C4×C4⋊C4—111no—
373C4×C4⋊C4—112no—
374C4×C4⋊C4—114no—
375C4×C4⋊C4—112no—
376C4×C4⋊C4—114no—
377C4×C4⋊C4—114no—
378C4×C4⋊C4—112no—
379C4×C4⋊C4C2×D1112yes—
380C4×C4⋊C4C2×D1111yescharacteristic
381C4×C22⋊C4—112no—
382C4×C22⋊C4—112no—
383C4×C22⋊C4—114no—
384C4×C22⋊C4—114no—
385C4×C22⋊C4—114no—
386C4×C22⋊C4—112no—
387#376—114no—
388C43—114no—
389C43—111no—
390C43—112no—
391C22×C11—24no—
392C22×C11—24no—
393C22×C11—24no—
394C22×C11—42no—
395C22×C11—42no—
396C22×C11—42no—
397C22×C11—42no—
398C22×C11C24×C411yescharacteristic
399C22×C11C22×#4111yescharacteristic
400C22×C11C22×#4111yescharacteristic
401C22×C11C22×#4111yescharacteristic
402C22×C11C22×#4111yescharacteristic
403C22×C11C2×2−1+411yescharacteristic
404C22×C11#58511yescharacteristic
405C4×C11—24no—
406C4×C11—22no—
407C4×C11—24no—
408C4×C11—42no—
409C4×C11—44no—
410C4×C11C4×#4114yes—
411C4×C11C4×#4114yes—
412Dic11—24no—
413Dic11—28no—
414Dic11—24no—
415Dic11—22no—
416Dic11—24no—
417Dic11—22no—
418Dic11—42no—
419Dic11—41no—
420Dic11#55614yescomplemented
421C22×Q8—111no—
422C22×Q8—112no—
423C22×D4C22×D1111yescharacteristic
424C23×C4—112no—
425C23×C4—112no—
426C23×C4C22×D1112yes—
427C4⋊Q8—118no—
428#126—1132no—
429#124—1116no—
430C22⋊Q8—1116no—
431C4×Q8—1116no—
432C4×Q8—118no—
433C4×Q8—228no—
434C4×Q8—224no—
435C4×Q8—228no—
436C4×Q8—224no—
437C4×D4—224no—
438C4×D4—224no—
439C4×D4C4×D1118yes—
440#117—28no—
441#117—1116no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—112no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—114no—
446C2×C4⋊C4—112no—
447C2×C4⋊C4—112no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—112no—
450C2×C4⋊C4—114no—
451C2×C4⋊C4—112no—
452C2×C4⋊C4—114no—
453C2×C4⋊C4C22×D1112yes—
454C2×C4⋊C4C22×D1111yescharacteristic
455C2×C4⋊C4C22×D1112yes—
456C2×C4⋊C4C22×D1112yes—
457C2×C4⋊C4C22×D1111yescharacteristic
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C22⋊C4—114no—
460C2×C22⋊C4—114no—
461C2×C22⋊C4—112no—
462C2×C22⋊C4—112no—
463C2×C22⋊C4C22×D1114yes—
464C2×C22⋊C4C22×D1114yes—
465C2×C22⋊C4C22×D1112yes—
466C2×C42—114no—
467C2×C42—111no—
468C2×C42—112no—
469C2×C42—111no—
470C2×C42—111no—
471C2×C42—114no—
472C2×C42—112no—
473C2×C42—111no—
474C2×C42—114no—
475C2×C42—112no—
476C2×C42—112no—
477C2×C42—112no—
478C2×C42—111no—
479C2×C42—112no—
480C2×C42—112no—
481C2×C42—111no—
482C2×C42—114no—
483C2×C42—112no—
484C2×C42—228no—
485C2×C42C22×D1114yes—
486C2×C42C22×D1112yes—
487C2×C42C22×D1111yescharacteristic
488#95—112no—
489#95—114no—
490#95—114no—
491#95—114no—
492#95—112no—
493#95—112no—
494#95—112no—
495#95—114no—
496#95—114no—
497#95—112no—
498#95—114no—
499#95—114no—
500#95C22×D1114yes—
501#95C22×D1112yes—
502C2×C11—44no—
503C2×C11C2×C4×#4111yescharacteristic
504C2×C11C2×C4×#4111yescharacteristic
505C2×C11C4×2−1+411yescharacteristic
506C2×C11C2×#55611yescharacteristic
507C2×C11#347511yescharacteristic
508C2×C11#348011yescharacteristic
509C2×C11#348211yescharacteristic
510C24C23×D1112yes—
511C2×Q8—114no—
512C2×Q8—118no—
513C2×Q8—222no—
514C2×Q8—224no—
515C2×Q8—224no—
516C2×Q8—222no—
517C2×D4—22no—
518C2×D4—22no—
519C2×D4C2×C4×D1114yes—
520C22×C4—24no—
521C22×C4—24no—
522C22×C4—111no—
523C22×C4—111no—
524C22×C4—112no—
525C22×C4—112no—
526C22×C4—112no—
527C22×C4—114no—
528C22×C4—111no—
529C22×C4—112no—
530C22×C4—111no—
531C22×C4—224no—
532C22×C4—224no—
533C22×C4—224no—
534C22×C4—224no—
535C22×C4—224no—
536C22×C4—442no—
537C22×C4C2×C4×D1118yes—
538C22×C4C23×D1114yes—
539C22×C4C23×D1112yes—
540C22×C4C23×D1112yes—
541C22×C4C23×D1111yescharacteristic
542C22×C4C23×D1112yes—
543C22×C4C23×D1111yescharacteristic
544C22×C4C23×D1111yescharacteristic
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—22no—
548C4⋊C4—42no—
549C4⋊C4—114no—
550C4⋊C4—118no—
551C4⋊C4—1116no—
552C4⋊C4—118no—
553C4⋊C4—118no—
554C4⋊C4—114no—
555C4⋊C4—228no—
556C4⋊C4—224no—
557C4⋊C4—228no—
558C4⋊C4—224no—
559C4⋊C4—222no—
560C4⋊C4C2×C4×D1114yes—
561C4⋊C4#434114yes—
562C22⋊C4—28no—
563C22⋊C4—44no—
564C22⋊C4—1116no—
565C22⋊C4—1116no—
566C22⋊C4—224no—
567C22⋊C4—224no—
568C22⋊C4C2×C4×D1118yes—
569C42—28no—
570C42—24no—
571C42—1116no—
572C42—118no—
573C42—114no—
574C42—114no—
575C42—224no—
576C42—224no—
577C42—228no—
578C42—224no—
579C42—228no—
580C42—224no—
581C42—222no—
582C42—224no—
583C42—222no—
584C42—224no—
585C42—222no—
586C42—441no—
587C42—442no—
588C42—444no—
589C42C2×C4×D1114yes—
590C11C4×#55611yescharacteristic, complemented, Sylow
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23C22×C4×D1114yes—
598C23C24×D1111yescharacteristic
599Q8—2216no—
600Q8—228no—
601D4—28no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—21no—
606C2×C4—22no—
607C2×C4—21no—
608C2×C4—216no—
609C2×C4—24no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—22no—
614C2×C4—24no—
615C2×C4—112no—
616C2×C4—112no—
617C2×C4—112no—
618C2×C4—114no—
619C2×C4—114no—
620C2×C4—118no—
621C2×C4—112no—
622C2×C4—112no—
623C2×C4—114no—
624C2×C4—221no—
625C2×C4—222no—
626C2×C4—222no—
627C2×C4—222no—
628C2×C4—224no—
629C2×C4—224no—
630C2×C4—221no—
631C2×C4—221no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—221no—
635C2×C4—222no—
636C2×C4—221no—
637C2×C4—222no—
638C2×C4—221no—
639C2×C4—222no—
640C2×C4—221no—
641C2×C4—222no—
642C2×C4—448no—
643C2×C4—448no—
644C2×C4C22×C4×D1114yes—
645C2×C4C22×C4×D1112yes—
646C2×C4C22×C4×D1112yes—
647C2×C4C22×C4×D1112yes—
648C2×C4C2×#434114yes—
649C2×C4C2×#434112yes—
650C2×C4#41×D1112yes—
651C2×C4#41×D1112yes—
652C2×C4#41×D1112yes—
653C22—24no—
654C22—24no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22C23×C4×D1111yescharacteristic
661C22C22×#434111yescharacteristic
662C22C2×#41×D1111yescharacteristic
663C22C2×#41×D1111yescharacteristic
664C22C2×#41×D1111yescharacteristic
665C22#1062345511yescharacteristic
666C22D11×2−1+411yescharacteristic
667C4—24no—
668C4—24no—
669C4—22no—
670C4—42no—
671C4—44no—
672C4—114no—
673C4—222no—
674C4—224no—
675C4—222no—
676C4—224no—
677C4—228no—
678C4—224no—
679C4—442no—
680C4—441no—
681C4#1062305314yes—
682C4C4×#434114yes—
683C2—44no—
684C2C2×C4×#434111yescharacteristic
685C2C2×#1062305311yescharacteristic
686C2#1308182711yescharacteristic
687C2D11×#55611yescharacteristic
688C2#1308217311yescharacteristic
689C2#1308221511yescharacteristic
690C2#1308222811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2354C2
socle, cosocleC23×C11C25
prime radicalC22×D4×C11C23
hypercenter#2354D11
hypocenterC11C4×#556
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2354

Complements

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

NH ≅ G/Ntype
2. #13071733C2semidirect
4. #13071672C2semidirect
5. #13071643C2semidirect
6. #13071577C2semidirect
7. #13071575C2semidirect
8. #13071511C2semidirect
9. #13071183C2semidirect
10. #13071170C2semidirect
12. #13071144C2semidirect
13. C4×#66940C2semidirect
14. C4×#66940C2semidirect
16. #117×Dic11C2semidirect
26. #10623073C4semidirect
111. #66979C2×C4semidirect
117. #66977C2×C4semidirect
146. #66940C2×C4semidirect
147. #66932C2×C4semidirect
148. #66922C2×C4semidirect
150. C4×Dic22C2×C4semidirect
420. Dic11#556semidirect
590. C11C4×#556semidirect

Maximal subgroups

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

subgroupindex
C2×#106230732
#130717332
#130716862
#130716722
#130716432
#130715772
#130715752
#130715112
#130711832
#130711702
#130711632
#130711442
C4×#669402
C4×D4×Dic112
#117×Dic112
C11×#23542
C4×#55611