Finite Group Databasebeta

← C4×#10623365 #14913624

Subgroups — C4×#10623365 #14913624

Order 2816.

3420 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623365C211yesmaximal, characteristic
2C2×C4×#4343C211yesmaximal, characteristic, complemented
3#13071678C213yesmaximal, complemented
4#13071654C213yesmaximal, complemented
5#13071650C213yesmaximal, complemented
6#13071566C213yesmaximal, complemented
7Q8×Dic11⋊C4C211yesmaximal, characteristic, complemented
8#13071457C211yesmaximal, characteristic, complemented
9#13071454C211yesmaximal, characteristic, complemented
10C4×#66993C213yesmaximal, complemented
11C4×#66983C213yesmaximal, complemented
12C4×#66991C213yesmaximal, complemented
13C4×Q8×Dic11C211yesmaximal, characteristic, complemented
14C42×C22⋊D11C213yesmaximal, complemented
15C2×C4×C11×#41C211yesmaximal, characteristic, complemented
16C22×C11×#41C2211yescharacteristic
17C22×#4343C2211yescharacteristic
18C4×C11×#41—28no—
19C2×C4×Q8×C11C2211yescharacteristic
20C2×C4×Q8×C11C2211yescharacteristic
21C2×C4×D4×C11C2213yes—
22C2×C4×D4×C11C2213yes—
23C2×C11×#117C2213yes—
24C22×C42×C11C2213yes—
25#10623365C4116yesdirect product factor
26C2×Q8×Dic11C2211yescharacteristic
27C2×Q8×Dic11C2211yescharacteristic
28C2×Q8×Dic11C2211yescharacteristic
29C2×#66993C2213yes—
30C2×#66991C2213yes—
31C2×#66983C2213yes—
32C2×C4×C22⋊D11C2213yes—
33C2×C4×C22⋊D11C2213yes—
34C2×C4×C22⋊D11C2216yes—
35C2×C4×C22⋊D11C2213yes—
36C4×#4343—28no—
37C2×#66946C2213yes—
38C2×#66945C2213yes—
39C2×C4×D44C2213yes—
40C2×C42×D11C2213yes—
41#10622834C2213yes—
42#10622834C2213yes—
43#10622826C2216yes—
44#10622825C2213yes—
45C4×C22⋊Dic11C2213yes—
46C4×C22⋊Dic11C2213yes—
47C4×C22⋊Dic11C2213yes—
48#10622601C2213yes—
49#10622600C2213yes—
50#10622589C2213yes—
51C4⋊C4×Dic11C2213yes—
52C4⋊C4×Dic11C2213yes—
53#10622586C2213yes—
54#10622570C2216yes—
55#10622570C2216yes—
56#10622569C2216yes—
57#10622557C2216yes—
58#10622553C2216yes—
59#10622552C2213yes—
60C4×(C2×D11)⋊C4C2213yes—
61C4×(C2×D11)⋊C4C2213yes—
62C4×(C2×D11)⋊C4C2213yes—
63C4×C4⋊Dic11C2213yes—
64C4×Dic11⋊C4C2213yes—
65C4×Dic11⋊C4C2211yescharacteristic
66C4×Dic11⋊C4C2213yes—
67C42×Dic11C2213yes—
68#10622541C2213yes—
69C2×C11×#41—24no—
70C2×C11×#41—24no—
71C2×C11×#41C2×C418yescomplemented
72C22×Q8×C11C2311yescharacteristic
73C22×D4×C11C2313yes—
74C23×C4×C11C2313yes—
75C23×C4×C11C2313yes—
76C23×C4×C11C2313yes—
77C22×C22⋊D11C2313yes—
78C22×C22⋊D11C2316yes—
79C2×#4343—24no—
80C2×#4343—24no—
81C2×#4343C2×C418yescomplemented
82C22×D44C2313yes—
83C22×C4×D11C2313yes—
84C22×C4×D11C2313yes—
85C22×C4×D11C2313yes—
86C4×Q8×C11—24no—
87C4×Q8×C11D418yescomplemented
88C4×D4×C11—212no—
89C4×D4×C11—212no—
90C11×#117—212no—
91C2×C11×C4⋊C4C2313yes—
92C2×C11×C4⋊C4C2313yes—
93C2×C11×C22⋊C4C2316yes—
94C2×C42×C11—212no—
95C2×C42×C11C2313yes—
96C2×C42×C11C2311yescharacteristic
97C2×C42×C11C2313yes—
98C2×C42×C11C2313yes—
99C2×C22⋊Dic11C2313yes—
100C2×C22⋊Dic11C2313yes—
101C2×C22⋊Dic11C2316yes—
102C2×C22⋊Dic11C2313yes—
103Q8×Dic11—24no—
104Q8×Dic11—24no—
105Q8×Dic11C2×C418yescomplemented
106#66993C2×C4124yescomplemented
107#66991C2×C4124yescomplemented
108#66983C2×C4124yescomplemented
109C4×C22⋊D11—212no—
110C4×C22⋊D11—212no—
111C4×C22⋊D11—412no—
112C4×C22⋊D11C2×C4124yescomplemented
113C2×(C2×D11)⋊C4C2316yes—
114C2×(C2×D11)⋊C4C2313yes—
115C2×(C2×D11)⋊C4C2313yes—
116C2×(C2×D11)⋊C4C2316yes—
117C2×(C2×D11)⋊C4C2313yes—
118C2×C4⋊Dic11C2313yes—
119C2×C4⋊Dic11C2313yes—
120C2×C4⋊Dic11C2313yes—
121C2×Dic11⋊C4C2313yes—
122C2×Dic11⋊C4C2316yes—
123C2×Dic11⋊C4C2311yescharacteristic
124C2×Dic11⋊C4C2311yescharacteristic
125C2×C4×Dic11C2311yescharacteristic
126C2×C4×Dic11C2313yes—
127C2×C4×Dic11C2313yes—
128C2×C4×Dic11C2313yes—
129C2×C4×Dic11C2313yes—
130C2×C4×Dic11C2313yes—
131C2×C4×Dic11C2313yes—
132C2×C4×Dic11C2313yes—
133C2×C4×Dic11C2311yescharacteristic
134#66946—212no—
135#66945—212no—
136C4×D44—212no—
137C42×D11—212no—
138C11⋊#95C2313yes—
139C11⋊#95C2311yescharacteristic
140C11⋊#95C2311yescharacteristic
141C11⋊#95C2313yes—
142C11⋊#95C2313yes—
143C11⋊#95C2313yes—
144C11⋊#95C2316yes—
145C4×#550—111nomaximal, Sylow
146C24×C11C2413yes—
147C23×D11C2413yes—
148C11×#41—232no—
149C2×Q8×C11C22×C414yes—
150C2×Q8×C11C2×D414yes—
151C2×Q8×C11#4114yes—
152C2×D4×C11—26no—
153C2×D4×C11—26no—
154C2×D4×C11C22×C4112yes—
155C22×C4×C11—26no—
156C22×C4×C11—26no—
157C22×C4×C11—26no—
158C22×C4×C11—26no—
159C22×C4×C11—26no—
160C22×C4×C11—26no—
161C22×C4×C11—26no—
162C22×C4×C11—43no—
163C22×C4×C11C22×C4112yes—
164C22×C4×C11C2413yes—
165C22×C4×C11C2411yescharacteristic
166C22×C4×C11C2413yes—
167C22×C4×C11C2411yescharacteristic
168C22×C4×C11C2413yes—
169C22×C4×C11C2411yescharacteristic
170C2×C22⋊D11—26no—
171C2×C22⋊D11—26no—
172C2×C22⋊D11—46no—
173C2×C22⋊D11—46no—
174C2×C22⋊D11C22×C4112yes—
175C2×C22⋊D11C22×C4124yes—
176C22×Dic11C2413yes—
177C22×Dic11C2413yes—
178C22×Dic11C2411yescharacteristic
179C22×Dic11C2413yes—
180C22×Dic11C2411yescharacteristic
181C22×Dic11C2411yescharacteristic
182C22×Dic11C2411yescharacteristic
183#4343—232no—
184C2×D44—26no—
185C2×D44—26no—
186C2×D44C22×C4112yes—
187C2×C4×D11—26no—
188C2×C4×D11—26no—
189C2×C4×D11—26no—
190C2×C4×D11—26no—
191C2×C4×D11—26no—
192C2×C4×D11—26no—
193C2×C4×D11—26no—
194C2×C4×D11—43no—
195C2×C4×D11C22×C4112yes—
196C11×C4⋊C4—26no—
197C11×C4⋊C4C2×D4112yes—
198C11×C22⋊C4—212no—
199C42×C11—22no—
200C42×C11—26no—
201C42×C11—26no—
202C42×C11C2×D4112yes—
203C22⋊Dic11—26no—
204C22⋊Dic11—26no—
205C22⋊Dic11—46no—
206C22⋊Dic11C22×C4112yes—
207(C2×D11)⋊C4—26no—
208(C2×D11)⋊C4—212no—
209(C2×D11)⋊C4—26no—
210(C2×D11)⋊C4—46no—
211(C2×D11)⋊C4C22×C4112yes—
212C4⋊Dic11—26no—
213C4⋊Dic11—26no—
214C4⋊Dic11C22×C4112yes—
215Dic11⋊C4—26no—
216Dic11⋊C4—46no—
217Dic11⋊C4C22×C414yes—
218Dic11⋊C4#4114yescomplemented
219C4×Dic11—26no—
220C4×Dic11—22no—
221C4×Dic11—26no—
222C4×Dic11—26no—
223C4×Dic11—26no—
224C4×Dic11—26no—
225C4×Dic11—43no—
226C4×Dic11C22×C4112yes—
227C4×Dic11#4114yescomplemented
228C2×#550—111no—
229C2×C4×#41—111no—
230C2×C4×#41D1111yescharacteristic, complemented
231#2366—113no—
232#2363—113no—
233#2363—113no—
234#2354—113no—
235Q8×C4⋊C4—111no—
236#2341—111no—
237#2341—111no—
238C4×#127—113no—
239C4×#121—113no—
240C4×#121—113no—
241C42×Q8—111no—
242C42×D4—113no—
243C23×C11—23no—
244C23×C11—23no—
245C23×C11—23no—
246C23×C11—23no—
247C23×C11—23no—
248C23×C11—23no—
249C23×C11C23×C416yes—
250C23×C11C2511yescharacteristic
251C22×D11—23no—
252C22×D11—23no—
253C22×D11—23no—
254C22×D11—23no—
255C22×D11—23no—
256C22×D11—23no—
257C22×D11C23×C416yes—
258Q8×C11C4×D4116yescomplemented
259D4×C11—224no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—23no—
263C2×C4×C11—21no—
264C2×C4×C11—23no—
265C2×C4×C11—21no—
266C2×C4×C11—224no—
267C2×C4×C11—23no—
268C2×C4×C11—23no—
269C2×C4×C11—23no—
270C2×C4×C11—412no—
271C2×C4×C11—412no—
272C2×C4×C11C23×C412yes—
273C2×C4×C11C23×C416yes—
274C2×C4×C11C22×D416yes—
275C2×C4×C11C22×D416yes—
276C2×C4×C11C22×D412yes—
277C2×C4×C11C2×#4116yes—
278C2×C4×C11C2×#4112yes—
279C2×C4×C11C2×#4112yes—
280C2×C4×C11H(5,𝔽2)12yes—
281C22⋊D11—224no—
282C22⋊D11—424no—
283C2×Dic11—21no—
284C2×Dic11—21no—
285C2×Dic11—21no—
286C2×Dic11—21no—
287C2×Dic11—23no—
288C2×Dic11—21no—
289C2×Dic11—23no—
290C2×Dic11—21no—
291C2×Dic11—23no—
292C2×Dic11—23no—
293C2×Dic11—23no—
294C2×Dic11—23no—
295C2×Dic11—23no—
296C2×Dic11—23no—
297C2×Dic11C23×C416yes—
298C2×Dic11C23×C412yes—
299C2×Dic11C23×C412yes—
300C2×Dic11C2×#4112yes—
301C2×Dic11C2×#4112yes—
302C2×Dic11C2×#4112yes—
303C2×Dic11C2×#4112yes—
304D44—224no—
305C4×D11—224no—
306C4×D11—412no—
307C4×D11—412no—
308C22×#41—111no—
309C22×#41C2×D1111yescharacteristic
310#550—1116no—
311C2×#127—113no—
312C2×#121—113no—
313C2×#121—113no—
314C4×#41—28no—
315C4×#41—228no—
316C2×C4×Q8—111no—
317C2×C4×Q8—111no—
318C2×C4×Q8—111no—
319C2×C4×Q8C2×D1111yescharacteristic
320C2×C4×Q8C2×D1111yescharacteristic
321C2×C4×D4—113no—
322C2×C4×D4—113no—
323C2×C4×D4—113no—
324C2×C4×D4—116no—
325C2×C4×D4—113no—
326C2×C4×D4—113no—
327C2×C4×D4C2×D1113yes—
328C2×C4×D4C2×D1113yes—
329C2×#117—113no—
330C2×#117C2×D1113yes—
331C22×C42—113no—
332C22×C42C2×D1113yes—
333#390—113no—
334#390—113no—
335#390—113no—
336#390—116no—
337#390—116no—
338#390—113no—
339#389—113no—
340#389—113no—
341#388—116no—
342#388—116no—
343#386—116no—
344#386—116no—
345#384—113no—
346#380—113no—
347#380—113no—
348C4×C4⋊C4—113no—
349C4×C4⋊C4—113no—
350C4×C4⋊C4—113no—
351C4×C4⋊C4—113no—
352C4×C4⋊C4—111no—
353C4×C4⋊C4—113no—
354C4×C22⋊C4—113no—
355C4×C22⋊C4—113no—
356C4×C22⋊C4—113no—
357C4×C22⋊C4—113no—
358C4×C22⋊C4—113no—
359C4×C22⋊C4—113no—
360C43—113no—
361C22×C11—26no—
362C22×C11—26no—
363C22×C11—26no—
364C22×C11—43no—
365C22×C11—43no—
366C22×C11—43no—
367C22×C11—43no—
368C22×C11C24×C411yescharacteristic
369C22×C11C23×D411yescharacteristic
370C22×C11C22×#4111yescharacteristic
371C22×C11C22×#4111yescharacteristic
372C22×C11C22×#4111yescharacteristic
373C22×C11C2×H(5,𝔽2)11yescharacteristic
374C22×C11#58511yescharacteristic
375C2×D11—26no—
376C2×D11—26no—
377C2×D11—26no—
378C2×D11—43no—
379C2×D11—43no—
380C2×D11—43no—
381C2×D11—43no—
382C4×C11—22no—
383C4×C11—22no—
384C4×C11—26no—
385C4×C11—43no—
386C4×C11C2×C4×D4112yes—
387C4×C11#55014yescomplemented
388Dic11—22no—
389Dic11—26no—
390Dic11—22no—
391Dic11—22no—
392Dic11—43no—
393Dic11—43no—
394Dic11C4×#4114yescomplemented
395C2×#41—24no—
396C2×#41—24no—
397C2×#41—118no—
398C2×#41—224no—
399C2×#41—224no—
400C2×#41C4×D1118yescomplemented
401C22×Q8C22×D1111yescharacteristic
402C22×D4—113no—
403C22×D4—116no—
404C22×D4—113no—
405C22×D4C22×D1113yes—
406C23×C4—113no—
407C23×C4—113no—
408C23×C4—113no—
409C23×C4C22×D1113yes—
410C23×C4C22×D1113yes—
411C23×C4C22×D1113yes—
412#127—1124no—
413#121—1124no—
414#121—1124no—
415C4×Q8—24no—
416C4×Q8—118no—
417C4×Q8—224no—
418C4×Q8—224no—
419C4×Q8C22⋊D1118yescomplemented
420C4×D4—212no—
421C4×D4—212no—
422C4×D4—1124no—
423C4×D4—2212no—
424C4×D4—2212no—
425C4×D4—2212no—
426C4×D4—2212no—
427C4×D4—4412no—
428#117—212no—
429#117—2212no—
430C2×C4⋊C4—111no—
431C2×C4⋊C4—111no—
432C2×C4⋊C4—113no—
433C2×C4⋊C4—113no—
434C2×C4⋊C4—113no—
435C2×C4⋊C4—113no—
436C2×C4⋊C4—116no—
437C2×C4⋊C4C22×D1113yes—
438C2×C4⋊C4C22×D1113yes—
439C2×C22⋊C4—113no—
440C2×C22⋊C4—113no—
441C2×C22⋊C4—113no—
442C2×C22⋊C4—113no—
443C2×C22⋊C4—116no—
444C2×C22⋊C4—113no—
445C2×C22⋊C4—113no—
446C2×C22⋊C4—116no—
447C2×C22⋊C4—116no—
448C2×C22⋊C4C22×D1116yes—
449C2×C42—212no—
450C2×C42—113no—
451C2×C42—111no—
452C2×C42—113no—
453C2×C42—113no—
454C2×C42—113no—
455C2×C42—113no—
456C2×C42—113no—
457C2×C42—111no—
458C2×C42—113no—
459C2×C42—2212no—
460C2×C42C22×D1113yes—
461C2×C42C22×D1113yes—
462C2×C42C22×D1111yescharacteristic
463C2×C42C22×D1113yes—
464#95—111no—
465#95—111no—
466#95—113no—
467#95—113no—
468#95—113no—
469#95—113no—
470#95—116no—
471C2×C11—46no—
472C2×C11C22×C4×D411yescharacteristic
473C2×C11C2×C4×#4111yescharacteristic
474C2×C11C4×H(5,𝔽2)11yescharacteristic
475C2×C11C2×#55011yescharacteristic
476C2×C11D4×#4111yescharacteristic
477C2×C11#348011yescharacteristic
478C2×C11#348311yescharacteristic
479D11—46no—
480C24—113no—
481C24C23×D1113yes—
482#41—232no—
483#41—2232no—
484C2×Q8C2×C4×D1114yes—
485C2×Q8#433914yes—
486C2×Q8C2×C22⋊D1114yes—
487C2×D4—26no—
488C2×D4—26no—
489C2×D4—1112no—
490C2×D4—1124no—
491C2×D4—1112no—
492C2×D4—226no—
493C2×D4—226no—
494C2×D4—226no—
495C2×D4—226no—
496C2×D4—446no—
497C2×D4—446no—
498C2×D4C2×C4×D11112yes—
499C22×C4—26no—
500C22×C4—26no—
501C22×C4—26no—
502C22×C4—26no—
503C22×C4—26no—
504C22×C4—26no—
505C22×C4—26no—
506C22×C4—43no—
507C22×C4—111no—
508C22×C4—111no—
509C22×C4—111no—
510C22×C4—113no—
511C22×C4—111no—
512C22×C4—1112no—
513C22×C4—113no—
514C22×C4—113no—
515C22×C4—226no—
516C22×C4—226no—
517C22×C4—226no—
518C22×C4—226no—
519C22×C4—226no—
520C22×C4—226no—
521C22×C4—226no—
522C22×C4—443no—
523C22×C4C2×C4×D11112yes—
524C22×C4C23×D1113yes—
525C22×C4C23×D1111yescharacteristic
526C22×C4C23×D1111yescharacteristic
527C22×C4C23×D1113yes—
528C22×C4C23×D1113yes—
529C22×C4C23×D1111yescharacteristic
530C4⋊C4—26no—
531C4⋊C4—114no—
532C4⋊C4—1112no—
533C4⋊C4—114no—
534C4⋊C4—226no—
535C4⋊C4—226no—
536C4⋊C4—226no—
537C4⋊C4—446no—
538C4⋊C4C2×C22⋊D11112yes—
539C22⋊C4—212no—
540C22⋊C4—1112no—
541C22⋊C4—1112no—
542C22⋊C4—226no—
543C22⋊C4—226no—
544C22⋊C4—226no—
545C22⋊C4—226no—
546C22⋊C4—2212no—
547C22⋊C4—446no—
548C22⋊C4—446no—
549C42—22no—
550C42—26no—
551C42—26no—
552C42—1112no—
553C42—114no—
554C42—226no—
555C42—226no—
556C42—226no—
557C42—222no—
558C42—226no—
559C42—226no—
560C42—443no—
561C42C2×C22⋊D11112yes—
562C11C4×#55011yescharacteristic, complemented, Sylow
563C23—23no—
564C23—23no—
565C23—23no—
566C23—23no—
567C23—23no—
568C23—23no—
569C23—116no—
570C23—223no—
571C23—223no—
572C23—223no—
573C23—223no—
574C23—223no—
575C23—223no—
576C23C22×C4×D1116yes—
577C23C24×D1111yescharacteristic
578Q8C4×C22⋊D11116yescomplemented
579D4—224no—
580D4—2224no—
581D4—2224no—
582D4—4424no—
583C2×C4—21no—
584C2×C4—23no—
585C2×C4—23no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—224no—
590C2×C4—23no—
591C2×C4—23no—
592C2×C4—23no—
593C2×C4—412no—
594C2×C4—412no—
595C2×C4—112no—
596C2×C4—112no—
597C2×C4—112no—
598C2×C4—116no—
599C2×C4—112no—
600C2×C4—112no—
601C2×C4—112no—
602C2×C4—221no—
603C2×C4—221no—
604C2×C4—223no—
605C2×C4—221no—
606C2×C4—223no—
607C2×C4—221no—
608C2×C4—221no—
609C2×C4—221no—
610C2×C4—2224no—
611C2×C4—223no—
612C2×C4—223no—
613C2×C4—223no—
614C2×C4—223no—
615C2×C4—223no—
616C2×C4—223no—
617C2×C4—4412no—
618C2×C4—4412no—
619C2×C4C22×C4×D1112yes—
620C2×C4C22×C4×D1116yes—
621C2×C4C2×#433916yes—
622C2×C4#41×D1112yes—
623C2×C4#41×D1112yes—
624C2×C4#6704212yes—
625C2×C4C22×C22⋊D1116yes—
626C2×C4C22×C22⋊D1116yes—
627C2×C4C22×C22⋊D1112yes—
628C22—26no—
629C22—26no—
630C22—26no—
631C22—43no—
632C22—43no—
633C22—43no—
634C22—43no—
635C22—226no—
636C22—226no—
637C22—226no—
638C22—443no—
639C22—443no—
640C22—443no—
641C22—443no—
642C22C23×C4×D1111yescharacteristic
643C22C22×#433911yescharacteristic
644C22C2×#41×D1111yescharacteristic
645C22C2×#41×D1111yescharacteristic
646C22C2×#6704211yescharacteristic
647C22#1062345311yescharacteristic
648C22C23×C22⋊D1111yescharacteristic
649C4—22no—
650C4—22no—
651C4—26no—
652C4—43no—
653C4—114no—
654C4—222no—
655C4—222no—
656C4—226no—
657C4—222no—
658C4—443no—
659C4—443no—
660C4C2×C4×C22⋊D11112yes—
661C4#1062336514yesdirect product factor
662C2—46no—
663C2—446no—
664C2C22×C4×C22⋊D1111yescharacteristic
665C2C4×#41×D1111yescharacteristic
666C2C4×#6704211yescharacteristic
667C2C2×#1062336511yescharacteristic
668C2#41×C22⋊D1111yescharacteristic
669C2#1308221411yescharacteristic
670C2#1308224211yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC2×C4×C11×#41C2
socle, cosocleC23×C11C25
prime radicalC2×#10623365C2
hypercenterC2×C4×#41D11
hypocenterC11C4×#550
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
2. C2×C4×#4343C2semidirect
3. #13071678C2semidirect
4. #13071654C2semidirect
5. #13071650C2semidirect
6. #13071566C2semidirect
7. Q8×Dic11⋊C4C2semidirect
8. #13071457C2semidirect
9. #13071454C2semidirect
10. C4×#66993C2semidirect
11. C4×#66983C2semidirect
12. C4×#66991C2semidirect
13. C4×Q8×Dic11C2semidirect
14. C42×C22⋊D11C2semidirect
15. C2×C4×C11×#41C2semidirect
25. #10623365C4direct (N × H)
71. C2×C11×#41C2×C4semidirect
81. C2×#4343C2×C4semidirect
87. C4×Q8×C11D4semidirect
105. Q8×Dic11C2×C4semidirect
106. #66993C2×C4semidirect
107. #66991C2×C4semidirect
108. #66983C2×C4semidirect
112. C4×C22⋊D11C2×C4semidirect
218. Dic11⋊C4#41semidirect
227. C4×Dic11#41semidirect
230. C2×C4×#41D11semidirect
258. Q8×C11C4×D4semidirect
387. C4×C11#550semidirect
394. Dic11C4×#41semidirect
400. C2×#41C4×D11semidirect
419. C4×Q8C22⋊D11semidirect
562. C11C4×#550semidirect
578. Q8C4×C22⋊D11semidirect
661. C4#10623365direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106233652
C2×C4×#43432
#130716782
#130716542
#130716502
#130715662
Q8×Dic11⋊C42
#130714572
#130714542
C4×#669932
C4×#669832
C4×#669912
C4×Q8×Dic112
C42×C22⋊D112
C2×C4×C11×#412
C4×#55011