Finite Group Databasebeta

← #14913723

Subgroups — #14913723

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×#10623115C211yesmaximal, characteristic
2#13071742C214yesmaximal, complemented
3#13071687C212yesmaximal
4#13071674C211yesmaximal, characteristic, complemented
5#13071648C212yesmaximal, complemented
6#13071583C212yesmaximal, complemented
7#13071567C211yesmaximal, characteristic
8#13071505C212yesmaximal, complemented
9#13071183C211yesmaximal, characteristic, complemented
10#13071166C214yesmaximal, complemented
11#13071155C212yesmaximal
12#13071154C212yesmaximal, complemented
13C4×Q8×Dic11C211yesmaximal, characteristic, complemented
14C4×#66940C212yesmaximal, complemented
15C4×#66946C211yesmaximal, characteristic
16C4×#66945C212yesmaximal, complemented
17C11×#2355C211yesmaximal, characteristic, complemented
18C2×C4×Q8×C11C2211yescharacteristic
19C2×#66999C2212yes—
20C2×Q8×Dic11C2211yescharacteristic
21C2×Q8×Dic11C2211yescharacteristic
22#10623115C4116yescomplemented
23C2×#66951C2214yes—
24C2×#66946C2211yescharacteristic
25C2×#66946C2211yescharacteristic
26C2×#66945C2212yes—
27C2×#66945C2212yes—
28C2×#66940C2212yes—
29C2×#66940C2212yes—
30C2×#66928C2212yes—
31C2×C4×D44C2211yescharacteristic
32C2×C42×D11C2212yes—
33C2×#66922C2211yescharacteristic
34C2×C4×Dic22C2212yes—
35C11×#391C2212yes—
36C11×#387C2214yes—
37C11×#384C2211yescharacteristic
38C11×#382C2212yes—
39C4×C11×C4⋊C4C2211yescharacteristic
40C4×C11×C4⋊C4C2212yes—
41C4×C11×C4⋊C4C2212yes—
42#10622603C2214yes—
43#10622601C2212yes—
44#10622600C2212yes—
45C4⋊C4×Dic11C2212yes—
46C4⋊C4×Dic11C2212yes—
47C4⋊C4×Dic11C2212yes—
48C4⋊C4×Dic11C2211yescharacteristic
49C4⋊C4×Dic11C2211yescharacteristic
50C4⋊C4×Dic11C2211yescharacteristic
51C4⋊C4×Dic11C2212yes—
52C4⋊C4×Dic11C2212yes—
53C4⋊C4×Dic11C2211yescharacteristic
54#10622587C2212yes—
55#10622587C2212yes—
56#10622586C2212yes—
57#10622586C2212yes—
58#10622553C2214yes—
59C4×(C2×D11)⋊C4C2212yes—
60C4×(C2×D11)⋊C4C2214yes—
61C4×C4⋊Dic11C2212yes—
62C4×C4⋊Dic11C2211yescharacteristic
63C4×C4⋊Dic11C2212yes—
64C4×Dic11⋊C4C2214yes—
65C42×Dic11C2212yes—
66C42×Dic11C2214yes—
67C42×Dic11C2211yescharacteristic
68#10622541C2212yes—
69#10622283C2214yes—
70#10622282C2214yes—
71#10622282C2214yes—
72#10622281C2214yes—
73#10622279C2214yes—
74#10622279C2214yes—
75#10622279C2212yes—
76#10622279C2212yes—
77#10622268C2214yes—
78#10622268C2214yes—
79#10622266C2214yes—
80#10622264C2214yes—
81#10622262C2214yes—
82#10622262C2214yes—
83#10622261C2214yes—
84C22×Q8×C11C2311yescharacteristic
85C22×D44C2311yescharacteristic
86C22×C4×D11C2312yes—
87C22×C4×D11C2312yes—
88C22×C4×D11C2312yes—
89C22×Dic22C2312yes—
90C4×Q8×C11C2×C418yescomplemented
91C2×C11×C4⋊C4C2312yes—
92C2×C11×C4⋊C4C2312yes—
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C4⋊C4C2312yes—
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2312yes—
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C42×C11C2312yes—
99C2×C42×C11C2314yes—
100C2×C42×C11C2312yes—
101C2×C42×C11C2311yescharacteristic
102#66999C2×C4116yescomplemented
103Q8×Dic11—24no—
104Q8×Dic11—24no—
105C2×(C2×D11)⋊C4C2314yes—
106C2×(C2×D11)⋊C4C2312yes—
107C2×(C2×D11)⋊C4C2312yes—
108C2×(C2×D11)⋊C4C2314yes—
109C2×(C2×D11)⋊C4C2312yes—
110C2×(C2×D11)⋊C4C2314yes—
111C2×(C2×D11)⋊C4C2314yes—
112C2×C4⋊Dic11C2312yes—
113C2×C4⋊Dic11C2312yes—
114C2×C4⋊Dic11C2311yescharacteristic
115C2×C4⋊Dic11C2311yescharacteristic
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2312yes—
118C2×C4⋊Dic11C2311yescharacteristic
119C2×Dic11⋊C4C2314yes—
120C2×Dic11⋊C4C2314yes—
121C2×Dic11⋊C4C2314yes—
122C2×C4×Dic11C2312yes—
123C2×C4×Dic11C2312yes—
124C2×C4×Dic11C2314yes—
125C2×C4×Dic11C2314yes—
126C2×C4×Dic11C2312yes—
127C2×C4×Dic11C2314yes—
128C2×C4×Dic11C2312yes—
129C2×C4×Dic11C2312yes—
130C2×C4×Dic11C2311yescharacteristic
131C2×C4×Dic11C2312yes—
132C2×C4×Dic11C2311yescharacteristic
133C2×C4×Dic11C2311yescharacteristic
134C2×C4×Dic11C2311yescharacteristic
135C2×C4×Dic11C2312yes—
136C2×C4×Dic11C2314yes—
137C2×C4×Dic11C2311yescharacteristic
138C2×C4×Dic11C2311yescharacteristic
139#66951C2×C4132yescomplemented
140#66946—24no—
141#66946—24no—
142#66945—28no—
143#66945C2×C4116yescomplemented
144#66940—28no—
145#66940—28no—
146#66928C2×C4116yes—
147C4×D44C2×C418yes—
148C42×D11—28no—
149#66922C2×C418yescomplemented
150C4×Dic22C2×C4116yescomplemented
151C11×#95C2314yes—
152C11×#95C2314yes—
153C11×#95C2312yes—
154C11×#95C2314yes—
155C11⋊#95C2312yes—
156C11⋊#95C2314yes—
157C11⋊#95C2314yes—
158C11⋊#95C2312yes—
159C11⋊#95C2314yes—
160C11⋊#95C2312yes—
161C11⋊#95C2312yes—
162C11⋊#95C2314yes—
163C11⋊#95C2314yes—
164C11⋊#95C2312yes—
165C4×#556—111nomaximal, Sylow
166C23×D11C2412yes—
167C2×Q8×C11—22no—
168C2×Q8×C11—22no—
169C2×Q8×C11C22×C414yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2414yes—
172C22×C4×C11C2412yes—
173C22×C4×C11C2411yescharacteristic
174C22×C4×C11C2412yes—
175C22×C4×C11C2412yes—
176C22×C4×C11C2411yescharacteristic
177C22×C4×C11C2411yescharacteristic
178C22×Dic11C2411yescharacteristic
179C22×Dic11C2412yes—
180C22×Dic11C2412yes—
181C22×Dic11C2414yes—
182C22×Dic11C2411yescharacteristic
183C22×Dic11C2412yes—
184C22×Dic11C2411yescharacteristic
185C22×Dic11C2411yescharacteristic
186C2×D44—22no—
187C2×D44—22no—
188C2×D44C22×C414yes—
189C2×C4×D11—24no—
190C2×C4×D11—24no—
191C2×C4×D11—24no—
192C2×C4×D11—24no—
193C2×C4×D11—24no—
194C2×C4×D11—24no—
195C2×C4×D11—24no—
196C2×C4×D11—42no—
197C2×C4×D11C22×C418yes—
198C2×Dic22—24no—
199C2×Dic22—24no—
200C2×Dic22C22×C418yes—
201C11×C4⋊C4—24no—
202C11×C4⋊C4—24no—
203C11×C4⋊C4—22no—
204C11×C4⋊C4—42no—
205C11×C4⋊C4C22×C414yes—
206C11×C4⋊C4C22×C418yes—
207C11×C4⋊C4#4114yes—
208C42×C11—24no—
209C42×C11—44no—
210C42×C11C22×C418yes—
211C42×C11C22×C414yes—
212(C2×D11)⋊C4—28no—
213(C2×D11)⋊C4—24no—
214(C2×D11)⋊C4—24no—
215(C2×D11)⋊C4—44no—
216(C2×D11)⋊C4C22×C418yes—
217(C2×D11)⋊C4C22×C4116yes—
218(C2×D11)⋊C4C22×C4116yes—
219C4⋊Dic11—24no—
220C4⋊Dic11—24no—
221C4⋊Dic11—22no—
222C4⋊Dic11C22×C414yes—
223C4⋊Dic11C22×C418yes—
224C4⋊Dic11C22×C418yes—
225C4⋊Dic11#4114yes—
226Dic11⋊C4—28no—
227Dic11⋊C4—28no—
228Dic11⋊C4C22×C4116yes—
229C4×Dic11—24no—
230C4×Dic11—24no—
231C4×Dic11—28no—
232C4×Dic11—28no—
233C4×Dic11—24no—
234C4×Dic11—24no—
235C4×Dic11—24no—
236C4×Dic11—22no—
237C4×Dic11—28no—
238C4×Dic11—24no—
239C4×Dic11—22no—
240C4×Dic11—22no—
241C4×Dic11—42no—
242C4×Dic11—41no—
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#2355D1111yescharacteristic, complemented
253#2354—111no—
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×C11C2511yescharacteristic
264C22×D11—22no—
265C22×D11—22no—
266C22×D11—22no—
267C22×D11—22no—
268C22×D11—22no—
269C22×D11—22no—
270C22×D11C23×C414yes—
271Q8×C11—28no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—21no—
277C2×C4×C11—22no—
278C2×C4×C11—21no—
279C2×C4×C11—22no—
280C2×C4×C11—24no—
281C2×C4×C11—24no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—24no—
286C2×C4×C11C23×C414yes—
287C2×C4×C11C23×C414yes—
288C2×C4×C11C23×C412yes—
289C2×C4×C11C23×C412yes—
290C2×C4×C11C23×C412yes—
291C2×C4×C11C2×#4114yes—
292C2×C4×C11C2×#4112yes—
293C2×C4×C11C2×#4112yes—
294C2×C4×C11C2×#4112yes—
295C2×C4×C11C2×#4112yes—
296C2×Dic11—22no—
297C2×Dic11—21no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—24no—
301C2×Dic11—24no—
302C2×Dic11—21no—
303C2×Dic11—22no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—21no—
311C2×Dic11—22no—
312C2×Dic11C23×C414yes—
313C2×Dic11C23×C418yes—
314C2×Dic11C2×#4114yes—
315C2×Dic11C2×#4112yes—
316C2×Dic11C2×#4112yes—
317C2×Dic11C2×#4112yes—
318C2×Dic11C2×#4112yes—
319C2×Dic112−1+412yes—
320D44—28no—
321C4×D11—216no—
322C4×D11—48no—
323C4×D11—48no—
324Dic22—216no—
325#556—1116no—
326C2×C4⋊Q8—111no—
327C2×#126—114no—
328C2×#124—112no—
329C2×C22⋊Q8—112no—
330C2×C4×Q8—111no—
331C2×C4×Q8—111no—
332C2×C4×Q8—112no—
333C2×C4×Q8—112no—
334C2×C4×Q8—112no—
335C2×C4×Q8C2×D1111yescharacteristic
336C2×C4×D4—111no—
337C2×C4×D4—111no—
338C2×C4×D4—111no—
339C2×#117—112no—
340C2×#117—112no—
341C22×C42—112no—
342#391—112no—
343#391—112no—
344#391C2×D1112yes—
345#390—112no—
346#389—112no—
347#389—112no—
348#389—112no—
349#388—114no—
350#388—114no—
351#388—114no—
352#388—114no—
353#388—114no—
354#387—114no—
355#387—114no—
356#387—114no—
357#387C2×D1114yes—
358#385—114no—
359#384C2×D1111yescharacteristic
360#383—114no—
361#382C2×D1112yes—
362#380—112no—
363C4×C4⋊C4—112no—
364C4×C4⋊C4—112no—
365C4×C4⋊C4—112no—
366C4×C4⋊C4—111no—
367C4×C4⋊C4—112no—
368C4×C4⋊C4—111no—
369C4×C4⋊C4—112no—
370C4×C4⋊C4—111no—
371C4×C4⋊C4—111no—
372C4×C4⋊C4—114no—
373C4×C4⋊C4—111no—
374C4×C4⋊C4—112no—
375C4×C4⋊C4—112no—
376C4×C4⋊C4—114no—
377C4×C4⋊C4—114no—
378C4×C4⋊C4C2×D1112yes—
379C4×C4⋊C4C2×D1111yescharacteristic
380C4×C4⋊C4C2×D1112yes—
381C4×C22⋊C4—112no—
382C4×C22⋊C4—114no—
383C4×C22⋊C4—112no—
384C4×C22⋊C4—114no—
385C4×C22⋊C4—114no—
386C4×C22⋊C4—112no—
387#376—114no—
388C43—114no—
389C43—111no—
390C43—112no—
391C22×C11C24×C411yescharacteristic
392C22×C11C22×#4111yescharacteristic
393C22×C11C22×#4111yescharacteristic
394C22×C11C22×#4111yescharacteristic
395C22×C11C22×#4111yescharacteristic
396C22×C11C2×2−1+411yescharacteristic
397C22×C11#58511yescharacteristic
398C2×D11—24no—
399C2×D11—24no—
400C2×D11—24no—
401C2×D11—42no—
402C2×D11—42no—
403C2×D11—42no—
404C2×D11—42no—
405C4×C11—24no—
406C4×C11—24no—
407C4×C11—22no—
408C4×C11—24no—
409C4×C11—42no—
410C4×C11—44no—
411C4×C11C4×#4114yes—
412C4×C11C4×#4114yes—
413Dic11—28no—
414Dic11—24no—
415Dic11—22no—
416Dic11—22no—
417Dic11—24no—
418Dic11—42no—
419Dic11—41no—
420Dic11#55614yescomplemented
421C22×Q8—112no—
422C22×Q8C22×D1111yescharacteristic
423C22×D4—111no—
424C23×C4—112no—
425C23×C4—112no—
426C23×C4—112no—
427C4⋊Q8—118no—
428#126—1132no—
429#124—1116no—
430C22⋊Q8—1116no—
431C4×Q8—1116no—
432C4×Q8—228no—
433C4×Q8—224no—
434C4×Q8—224no—
435C4×Q8—228no—
436C4×Q8C4×D1118yescomplemented
437C4×D4—118no—
438C4×D4—224no—
439C4×D4—224no—
440#117—1116no—
441#117—228no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—112no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—114no—
446C2×C4⋊C4—112no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—112no—
449C2×C4⋊C4—114no—
450C2×C4⋊C4—112no—
451C2×C4⋊C4—114no—
452C2×C4⋊C4C22×D1112yes—
453C2×C4⋊C4C22×D1111yescharacteristic
454C2×C4⋊C4C22×D1112yes—
455C2×C4⋊C4C22×D1112yes—
456C2×C4⋊C4C22×D1111yescharacteristic
457C2×C4⋊C4C22×D1112yes—
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C22⋊C4—114no—
460C2×C22⋊C4—112no—
461C2×C22⋊C4—114no—
462C2×C22⋊C4—114no—
463C2×C22⋊C4—112no—
464C2×C22⋊C4—112no—
465C2×C22⋊C4—114no—
466C2×C42—114no—
467C2×C42—111no—
468C2×C42—111no—
469C2×C42—114no—
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—112no—
479C2×C42—111no—
480C2×C42—112no—
481C2×C42—111no—
482C2×C42—112no—
483C2×C42—228no—
484C2×C42C22×D1112yes—
485C2×C42C22×D1114yes—
486C2×C42C22×D1111yescharacteristic
487C2×C42C22×D1112yes—
488#95—112no—
489#95—114no—
490#95—114no—
491#95—112no—
492#95—112no—
493#95—114no—
494#95—114no—
495#95—112no—
496#95—112no—
497#95—114no—
498#95C22×D1114yes—
499#95C22×D1112yes—
500#95C22×D1114yes—
501#95C22×D1114yes—
502C2×C11C2×C4×#4111yescharacteristic
503C2×C11C2×C4×#4111yescharacteristic
504C2×C11C4×2−1+411yescharacteristic
505C2×C11C2×#55611yescharacteristic
506C2×C11#347511yescharacteristic
507C2×C11#348011yescharacteristic
508C2×C11#348211yescharacteristic
509D11—44no—
510C24—112no—
511C2×Q8—22no—
512C2×Q8—22no—
513C2×Q8—118no—
514C2×Q8—224no—
515C2×Q8—224no—
516C2×Q8C2×C4×D1114yes—
517C2×D4—114no—
518C2×D4—222no—
519C2×D4—222no—
520C22×C4—111no—
521C22×C4—111no—
522C22×C4—112no—
523C22×C4—112no—
524C22×C4—114no—
525C22×C4—111no—
526C22×C4—118no—
527C22×C4—111no—
528C22×C4—112no—
529C22×C4—224no—
530C22×C4—224no—
531C22×C4—224no—
532C22×C4—224no—
533C22×C4—224no—
534C22×C4—224no—
535C22×C4—224no—
536C22×C4—442no—
537C22×C4C23×D1112yes—
538C22×C4C23×D1114yes—
539C22×C4C23×D1112yes—
540C22×C4C23×D1111yescharacteristic
541C22×C4C23×D1112yes—
542C22×C4C23×D1112yes—
543C22×C4C23×D1111yescharacteristic
544C22×C4C23×D1111yescharacteristic
545C4⋊C4—24no—
546C4⋊C4—22no—
547C4⋊C4—24no—
548C4⋊C4—42no—
549C4⋊C4—118no—
550C4⋊C4—114no—
551C4⋊C4—1116no—
552C4⋊C4—118no—
553C4⋊C4—114no—
554C4⋊C4—228no—
555C4⋊C4—224no—
556C4⋊C4—224no—
557C4⋊C4—228no—
558C4⋊C4—222no—
559C4⋊C4C2×C4×D1114yes—
560C4⋊C4C2×C4×D1118yes—
561C4⋊C4#434314yes—
562C22⋊C4—1116no—
563C22⋊C4—118no—
564C22⋊C4—1116no—
565C22⋊C4—228no—
566C22⋊C4—224no—
567C22⋊C4—224no—
568C22⋊C4—444no—
569C42—24no—
570C42—44no—
571C42—1116no—
572C42—114no—
573C42—114no—
574C42—224no—
575C42—224no—
576C42—228no—
577C42—224no—
578C42—224no—
579C42—228no—
580C42—224no—
581C42—222no—
582C42—222no—
583C42—228no—
584C42—224no—
585C42—222no—
586C42—442no—
587C42—441no—
588C42C2×C4×D1114yes—
589C42C2×C4×D1118yes—
590C11C4×#55611yescharacteristic, complemented, Sylow
591C23—114no—
592C23—222no—
593C23—222no—
594C23—222no—
595C23—222no—
596C23—222no—
597C23—222no—
598C23C24×D1111yescharacteristic
599Q8—28no—
600Q8—2216no—
601D4—228no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—22no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—112no—
617C2×C4—112no—
618C2×C4—112no—
619C2×C4—114no—
620C2×C4—118no—
621C2×C4—112no—
622C2×C4—112no—
623C2×C4—114no—
624C2×C4—222no—
625C2×C4—224no—
626C2×C4—221no—
627C2×C4—221no—
628C2×C4—222no—
629C2×C4—222no—
630C2×C4—224no—
631C2×C4—221no—
632C2×C4—221no—
633C2×C4—222no—
634C2×C4—2216no—
635C2×C4—221no—
636C2×C4—222no—
637C2×C4—222no—
638C2×C4—221no—
639C2×C4—222no—
640C2×C4—221no—
641C2×C4—448no—
642C2×C4—448no—
643C2×C4C22×C4×D1114yes—
644C2×C4C22×C4×D1112yes—
645C2×C4C22×C4×D1114yes—
646C2×C4C22×C4×D1112yes—
647C2×C4C22×C4×D1112yes—
648C2×C4C2×#434314yes—
649C2×C4C2×#434312yes—
650C2×C4#41×D1112yes—
651C2×C4#41×D1112yes—
652C2×C4#41×D1112yes—
653C22—224no—
654C22—224no—
655C22—224no—
656C22—442no—
657C22—442no—
658C22—442no—
659C22—442no—
660C22C23×C4×D1111yescharacteristic
661C22C22×#434311yescharacteristic
662C22C2×#41×D1111yescharacteristic
663C22C2×#41×D1111yescharacteristic
664C22C2×#41×D1111yescharacteristic
665C22#1062345511yescharacteristic
666C22D11×2−1+411yescharacteristic
667C4—24no—
668C4—24no—
669C4—24no—
670C4—22no—
671C4—42no—
672C4—44no—
673C4—114no—
674C4—222no—
675C4—222no—
676C4—224no—
677C4—224no—
678C4—228no—
679C4—442no—
680C4—441no—
681C4#1062305314yes—
682C4C4×#434314yes—
683C2—444no—
684C2C2×#1062305311yescharacteristic
685C2C2×C4×#434311yescharacteristic
686C2#1308182711yescharacteristic
687C2D11×#55611yescharacteristic
688C2#1308218211yescharacteristic
689C2#1308221211yescharacteristic
690C2#1308223611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2355C2
socle, cosocleC23×C11C25
prime radicalC22×D44C23
hypercenter#2355D11
hypocenterC11C4×#556
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2355

Complements

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

NH ≅ G/Ntype
2. #13071742C2semidirect
4. #13071674C2semidirect
5. #13071648C2semidirect
6. #13071583C2semidirect
8. #13071505C2semidirect
9. #13071183C2semidirect
10. #13071166C2semidirect
12. #13071154C2semidirect
13. C4×Q8×Dic11C2semidirect
14. C4×#66940C2semidirect
16. C4×#66945C2semidirect
17. C11×#2355C2semidirect
22. #10623115C4semidirect
90. C4×Q8×C11C2×C4semidirect
102. #66999C2×C4semidirect
139. #66951C2×C4semidirect
143. #66945C2×C4semidirect
149. #66922C2×C4semidirect
150. C4×Dic22C2×C4semidirect
252. #2355D11semidirect
420. Dic11#556semidirect
436. C4×Q8C4×D11semidirect
590. C11C4×#556semidirect

Maximal subgroups

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

subgroupindex
C2×#106231152
#130717422
#130716872
#130716742
#130716482
#130715832
#130715672
#130715052
#130711832
#130711662
#130711552
#130711542
C4×Q8×Dic112
C4×#669402
C4×#669462
C4×#669452
C11×#23552
C4×#55611