Finite Group Databasebeta

← C4×#10623107 #14913602

Subgroups — C4×#10623107 #14913602

Order 2816.

3232 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623107C211yesmaximal, characteristic
2C2×C4×#4343C211yesmaximal, characteristic, complemented
3C2×C4×Q8×D11C211yesmaximal, characteristic, complemented
4#13071687C213yesmaximal, complemented
5#13071645C213yesmaximal, complemented
6#13071634C213yesmaximal, complemented
7#13071548C213yesmaximal, complemented
8#13071537C211yesmaximal, characteristic, complemented
9#13071454C211yesmaximal, characteristic, complemented
10Q8×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
11C4×#66928C213yesmaximal, complemented
12C4×#66950C213yesmaximal, complemented
13C4×#66948C213yesmaximal, complemented
14C42×D44C213yesmaximal, complemented
15C42×Q8×C11C211yesmaximal, characteristic, complemented
16C22×#4343C2211yescharacteristic
17C22×Q8×D11C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C2×C4×Q8×C11C2211yescharacteristic
20C2×C4×Q8×C11C2211yescharacteristic
21C2×Q8×Dic11C2211yescharacteristic
22C2×Q8×Dic11C2211yescharacteristic
23#10623107C4116yesdirect product factor
24C4×#4343—28no—
25C4×Q8×D11—28no—
26C2×#66950C2213yes—
27C2×#66948C2213yes—
28C2×#66946C2213yes—
29C2×#66945C2213yes—
30C2×C4⋊C4×D11C2213yes—
31C2×#66940C2213yes—
32C2×#66928C2213yes—
33C2×C4×D44C2213yes—
34C2×C4×D44C2213yes—
35C2×C4×D44C2213yes—
36C2×C4×D44C2213yes—
37C2×C42×D11C2213yes—
38C2×C42×D11C2213yes—
39C2×C4×Dic22C2213yes—
40C4×C11×C4⋊C4C2213yes—
41C4×C11×C4⋊C4C2213yes—
42C4×C11×C4⋊C4C2213yes—
43C43×C11C2213yes—
44#10622601C2213yes—
45#10622600C2213yes—
46#10622600C2213yes—
47#10622598C2213yes—
48#10622598C2213yes—
49#10622587C2213yes—
50#10622553C2216yes—
51#10622553C2216yes—
52#10622552C2213yes—
53C4×(C2×D11)⋊C4C2213yes—
54C4×(C2×D11)⋊C4C2216yes—
55C4×(C2×D11)⋊C4C2213yes—
56C4×(C2×D11)⋊C4C2213yes—
57C4×(C2×D11)⋊C4C2213yes—
58C4×(C2×D11)⋊C4C2211yescharacteristic
59C4×(C2×D11)⋊C4C2213yes—
60#10622549C2213yes—
61C4×C4⋊Dic11C2213yes—
62C4×C4⋊Dic11C2213yes—
63C4×C4⋊Dic11C2213yes—
64#10622542C2213yes—
65#10622283C2216yes—
66#10622281C2216yes—
67#10622278C2216yes—
68#10622266C2216yes—
69C22×Q8×C11C2311yescharacteristic
70C2×#4343—24no—
71C2×#4343—24no—
72C2×#4343C2×C418yescomplemented
73C2×Q8×D11—24no—
74C2×Q8×D11—24no—
75C2×Q8×D11C2×C418yescomplemented
76C22×D44C2313yes—
77C22×D44C2313yes—
78C22×C4×D11C2313yes—
79C22×C4×D11C2313yes—
80C22×C4×D11C2313yes—
81C22×C4×D11C2313yes—
82C22×C4×D11C2313yes—
83C22×C4×D11C2311yescharacteristic
84C22×Dic22C2313yes—
85C4×Q8×C11—24no—
86C4×Q8×C11C2×C418yescomplemented
87C4×Q8×C11D418yescomplemented
88C2×C11×C4⋊C4C2313yes—
89C2×C11×C4⋊C4C2313yes—
90C2×C11×C4⋊C4C2313yes—
91C2×C42×C11C2313yes—
92C2×C42×C11C2313yes—
93C2×C42×C11C2313yes—
94C2×C42×C11C2311yescharacteristic
95C2×C42×C11C2313yes—
96C2×C42×C11C2313yes—
97C2×C42×C11C2313yes—
98Q8×Dic11—24no—
99Q8×Dic11—24no—
100C2×(C2×D11)⋊C4C2316yes—
101C2×(C2×D11)⋊C4C2313yes—
102C2×(C2×D11)⋊C4C2313yes—
103C2×(C2×D11)⋊C4C2313yes—
104C2×(C2×D11)⋊C4C2316yes—
105C2×(C2×D11)⋊C4C2311yescharacteristic
106C2×(C2×D11)⋊C4C2313yes—
107C2×(C2×D11)⋊C4C2316yes—
108C2×(C2×D11)⋊C4C2311yescharacteristic
109C2×C4⋊Dic11C2313yes—
110C2×C4⋊Dic11C2313yes—
111C2×C4⋊Dic11C2313yes—
112C2×C4⋊Dic11C2313yes—
113C2×C4⋊Dic11C2313yes—
114C2×Dic11⋊C4C2316yes—
115C2×C4×Dic11C2313yes—
116C2×C4×Dic11C2311yescharacteristic
117C2×C4×Dic11C2313yes—
118C2×C4×Dic11C2313yes—
119C2×C4×Dic11C2313yes—
120C2×C4×Dic11C2313yes—
121#66950C2×C4124yescomplemented
122#66948C2×C4124yescomplemented
123#66946—212no—
124#66945—212no—
125C4⋊C4×D11—212no—
126#66940—212no—
127#66928C2×C4124yescomplemented
128C4×D44—212no—
129C4×D44—212no—
130C4×D44—212no—
131C4×D44C2×C4124yescomplemented
132C42×D11—212no—
133C42×D11—212no—
134C4×Dic22—212no—
135C11×#95C2316yes—
136C11⋊#95C2313yes—
137C11⋊#95C2316yes—
138C11⋊#95C2316yes—
139C11⋊#95C2313yes—
140C11⋊#95C2313yes—
141C11⋊#95C2311yescharacteristic
142C11⋊#95C2311yescharacteristic
143C11⋊#95C2313yes—
144C4×#548—111nomaximal, Sylow
145C23×D11C2413yes—
146C23×D11C2411yescharacteristic
147C2×Q8×C11C22×C414yes—
148C2×Q8×C11C2×D414yes—
149C2×Q8×C11#4114yes—
150C22×C4×C11C2413yes—
151C22×C4×C11C2411yescharacteristic
152C22×C4×C11C2413yes—
153C22×C4×C11C2413yes—
154C22×C4×C11C2411yescharacteristic
155C22×C4×C11C2413yes—
156C22×C4×C11C2411yescharacteristic
157C22×Dic11C2413yes—
158C22×Dic11C2413yes—
159C22×Dic11C2411yescharacteristic
160C22×Dic11C2413yes—
161C22×Dic11C2411yescharacteristic
162C22×Dic11C2411yescharacteristic
163#4343—232no—
164Q8×D11—232no—
165C2×D44—26no—
166C2×D44—26no—
167C2×D44—26no—
168C2×D44—26no—
169C2×D44C22×C4112yes—
170C2×D44C22×C4112yes—
171C2×C4×D11—26no—
172C2×C4×D11—26no—
173C2×C4×D11—22no—
174C2×C4×D11—26no—
175C2×C4×D11—26no—
176C2×C4×D11—26no—
177C2×C4×D11—26no—
178C2×C4×D11—26no—
179C2×C4×D11—26no—
180C2×C4×D11—26no—
181C2×C4×D11—26no—
182C2×C4×D11—22no—
183C2×C4×D11—26no—
184C2×C4×D11—43no—
185C2×C4×D11—43no—
186C2×C4×D11C22×C4112yes—
187C2×C4×D11C22×C4112yes—
188C2×C4×D11#4114yescomplemented
189C2×Dic22—26no—
190C2×Dic22—26no—
191C2×Dic22C22×C4112yes—
192C11×C4⋊C4—26no—
193C11×C4⋊C4C22×C4112yes—
194C11×C4⋊C4C2×D4112yes—
195C42×C11—26no—
196C42×C11—26no—
197C42×C11—26no—
198C42×C11—22no—
199C42×C11—43no—
200C42×C11C22×C4112yes—
201C42×C11C2×D4112yes—
202(C2×D11)⋊C4—26no—
203(C2×D11)⋊C4—26no—
204(C2×D11)⋊C4—212no—
205(C2×D11)⋊C4—26no—
206(C2×D11)⋊C4—46no—
207(C2×D11)⋊C4C22×C414yes—
208(C2×D11)⋊C4C22×C4112yes—
209(C2×D11)⋊C4C22×C4124yes—
210(C2×D11)⋊C4#4114yescomplemented
211C4⋊Dic11—26no—
212C4⋊Dic11—26no—
213C4⋊Dic11—26no—
214C4⋊Dic11—26no—
215C4⋊Dic11C22×C4112yes—
216Dic11⋊C4—212no—
217C4×Dic11—26no—
218C4×Dic11—22no—
219C4×Dic11—26no—
220C4×Dic11—26no—
221C4×Dic11—26no—
222C4×Dic11—26no—
223C2×#548—111no—
224C2×C4×#41—111no—
225C22×C4×Q8—111no—
226#2367—113no—
227#2362—113no—
228#2361—113no—
229#2352—113no—
230#2351—111no—
231#2341—111no—
232Q8×C22⋊C4—111no—
233C4×#124—113no—
234C4×C22⋊Q8—113no—
235C4×#121—113no—
236C42×Q8D1111yescharacteristic, complemented
237C42×D4—113no—
238C23×C11C2511yescharacteristic
239C22×D11—21no—
240C22×D11—21no—
241C22×D11—21no—
242C22×D11—21no—
243C22×D11—23no—
244C22×D11—23no—
245C22×D11—23no—
246C22×D11—23no—
247C22×D11—23no—
248C22×D11—23no—
249C22×D11C23×C416yes—
250C22×D11C23×C412yes—
251C22×D11C2×#4112yes—
252C22×D11C2×#4112yes—
253Q8×C11C4×D4116yescomplemented
254C2×C4×C11—23no—
255C2×C4×C11—23no—
256C2×C4×C11—21no—
257C2×C4×C11—23no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—23no—
262C2×C4×C11—23no—
263C2×C4×C11—23no—
264C2×C4×C11—23no—
265C2×C4×C11C23×C416yes—
266C2×C4×C11C23×C412yes—
267C2×C4×C11C23×C416yes—
268C2×C4×C11C22×D416yes—
269C2×C4×C11C22×D416yes—
270C2×C4×C11C22×D412yes—
271C2×C4×C11C2×#4116yes—
272C2×C4×C11C2×#4112yes—
273C2×C4×C11C2×#4112yes—
274C2×C4×C112−1+412yes—
275C2×Dic11—21no—
276C2×Dic11—21no—
277C2×Dic11—21no—
278C2×Dic11—23no—
279C2×Dic11—23no—
280C2×Dic11—21no—
281C2×Dic11—21no—
282C2×Dic11—21no—
283C2×Dic11—23no—
284C2×Dic11—23no—
285C2×Dic11—23no—
286C2×Dic11—23no—
287C2×Dic11—23no—
288C2×Dic11—23no—
289C2×Dic11C23×C412yes—
290C2×Dic11C23×C416yes—
291C2×Dic11C2×#4112yes—
292C2×Dic11C2×#4112yes—
293D44—224no—
294D44—224no—
295C4×D11—224no—
296C4×D11—224no—
297C4×D11—28no—
298C4×D11—412no—
299C4×D11—412no—
300C4×D11—412no—
301Dic22—224no—
302C22×#41—111no—
303C23×Q8—111no—
304#548—1116no—
305C2×#124—113no—
306C2×C22⋊Q8—113no—
307C2×#121—113no—
308C4×#41—228no—
309C2×C4×Q8—111no—
310C2×C4×Q8—111no—
311C2×C4×Q8—113no—
312C2×C4×Q8—113no—
313C2×C4×Q8—228no—
314C2×C4×Q8C2×D1111yescharacteristic
315C2×C4×Q8C2×D1111yescharacteristic
316C2×C4×Q8C2×D1111yescharacteristic
317C2×C4×D4—113no—
318C2×C4×D4—113no—
319C2×C4×D4—113no—
320C2×C4×D4—113no—
321C2×C4×D4—113no—
322C2×#117—113no—
323C22×C4⋊C4—113no—
324C22×C42—113no—
325C22×C42—113no—
326#391—113no—
327#391—113no—
328#390—113no—
329#390—113no—
330#389—113no—
331#389—113no—
332#388—116no—
333#388—116no—
334#388—116no—
335#387—116no—
336#386—116no—
337#385—116no—
338#382—113no—
339#380—113no—
340#380—113no—
341C4×C4⋊C4—113no—
342C4×C4⋊C4—113no—
343C4×C4⋊C4—113no—
344C4×C4⋊C4C2×D1113yes—
345C4×C4⋊C4C2×D1113yes—
346C4×C4⋊C4C2×D1113yes—
347C4×C22⋊C4—113no—
348C4×C22⋊C4—113no—
349C4×C22⋊C4—113no—
350C4×C22⋊C4—113no—
351C4×C22⋊C4—111no—
352C4×C22⋊C4—113no—
353C4×C22⋊C4—116no—
354C43C2×D1113yes—
355C22×C11C24×C411yescharacteristic
356C22×C11C23×D411yescharacteristic
357C22×C11C22×#4111yescharacteristic
358C22×C11C22×#4111yescharacteristic
359C22×C11C22×#4111yescharacteristic
360C22×C11C2×2−1+411yescharacteristic
361C22×C11#58511yescharacteristic
362C2×D11—22no—
363C2×D11—22no—
364C2×D11—22no—
365C2×D11—22no—
366C2×D11—22no—
367C2×D11—22no—
368C2×D11—26no—
369C2×D11—26no—
370C2×D11—26no—
371C2×D11—43no—
372C2×D11—43no—
373C2×D11—43no—
374C2×D11—43no—
375C2×D11C4×#4114yescomplemented
376C4×C11—26no—
377C4×C11—22no—
378C4×C11—26no—
379C4×C11—22no—
380C4×C11—43no—
381C4×C11C2×C4×D4112yes—
382C4×C11#54814yescomplemented
383Dic11—26no—
384Dic11—22no—
385Dic11—22no—
386Dic11—22no—
387Dic11—43no—
388Dic11—43no—
389C2×#41—118no—
390C2×#41—224no—
391C2×#41—224no—
392C22×Q8—118no—
393C22×Q8—113no—
394C22×Q8—224no—
395C22×Q8—224no—
396C22×Q8C22×D1111yescharacteristic
397C22×D4—113no—
398C22×D4—113no—
399C23×C4—113no—
400C23×C4—113no—
401C23×C4—111no—
402C23×C4—113no—
403C23×C4—113no—
404C23×C4—113no—
405#124—1124no—
406C22⋊Q8—1124no—
407#121—1124no—
408C4×Q8—24no—
409C4×Q8—224no—
410C4×Q8—224no—
411C4×Q8—2212no—
412C4×Q8—2212no—
413C4×Q8C4×D1118yescomplemented
414C4×Q8D4418yescomplemented
415C4×D4—1124no—
416C4×D4—2212no—
417C4×D4—2212no—
418C4×D4—2212no—
419C4×D4—2212no—
420#117—2212no—
421C2×C4⋊C4—113no—
422C2×C4⋊C4—113no—
423C2×C4⋊C4—116no—
424C2×C4⋊C4—113no—
425C2×C4⋊C4—113no—
426C2×C4⋊C4—113no—
427C2×C4⋊C4—2212no—
428C2×C4⋊C4C22×D1113yes—
429C2×C4⋊C4C22×D1113yes—
430C2×C4⋊C4C22×D1113yes—
431C2×C22⋊C4—111no—
432C2×C22⋊C4—111no—
433C2×C22⋊C4—113no—
434C2×C22⋊C4—116no—
435C2×C22⋊C4—116no—
436C2×C22⋊C4—113no—
437C2×C22⋊C4—113no—
438C2×C22⋊C4—113no—
439C2×C22⋊C4—116no—
440C2×C42—113no—
441C2×C42—113no—
442C2×C42—113no—
443C2×C42—113no—
444C2×C42—113no—
445C2×C42—111no—
446C2×C42—2212no—
447C2×C42—2212no—
448C2×C42C22×D1113yes—
449C2×C42C22×D1113yes—
450C2×C42C22×D1113yes—
451C2×C42C22×D1111yescharacteristic
452C2×C42C22×D1113yes—
453C2×C42C22×D1113yes—
454C2×C42C22×D1113yes—
455#95—111no—
456#95—111no—
457#95—113no—
458#95—113no—
459#95—113no—
460#95—113no—
461#95—116no—
462#95—116no—
463#95C22×D1116yes—
464C2×C11C22×C4×D411yescharacteristic
465C2×C11C2×C4×#4111yescharacteristic
466C2×C11C4×2−1+411yescharacteristic
467C2×C11C2×#54811yescharacteristic
468C2×C11D4×#4111yescharacteristic
469C2×C11#348011yescharacteristic
470C2×C11#348211yescharacteristic
471D11—24no—
472D11—46no—
473C24—111no—
474C24—113no—
475#41—2232no—
476C2×Q8—1112no—
477C2×Q8—2232no—
478C2×Q8—226no—
479C2×Q8—226no—
480C2×Q8C2×C4×D1114yes—
481C2×Q8C2×D4414yes—
482C2×Q8#433914yes—
483C2×D4—1112no—
484C2×D4—1112no—
485C2×D4—226no—
486C2×D4—226no—
487C2×D4—226no—
488C2×D4—226no—
489C22×C4—111no—
490C22×C4—111no—
491C22×C4—113no—
492C22×C4—111no—
493C22×C4—1112no—
494C22×C4—1112no—
495C22×C4—114no—
496C22×C4—113no—
497C22×C4—113no—
498C22×C4—226no—
499C22×C4—226no—
500C22×C4—222no—
501C22×C4—226no—
502C22×C4—226no—
503C22×C4—226no—
504C22×C4—226no—
505C22×C4—222no—
506C22×C4—226no—
507C22×C4—226no—
508C22×C4—226no—
509C22×C4—226no—
510C22×C4—226no—
511C22×C4—443no—
512C22×C4—443no—
513C22×C4C23×D1113yes—
514C22×C4C23×D1111yescharacteristic
515C22×C4C23×D1113yes—
516C22×C4C23×D1113yes—
517C22×C4C23×D1111yescharacteristic
518C22×C4C23×D1113yes—
519C22×C4C23×D1111yescharacteristic
520C4⋊C4—26no—
521C4⋊C4—1112no—
522C4⋊C4—226no—
523C4⋊C4—226no—
524C4⋊C4—2212no—
525C4⋊C4—226no—
526C4⋊C4—226no—
527C4⋊C4C2×C4×D11112yes—
528C4⋊C4C2×D44112yes—
529C22⋊C4—114no—
530C22⋊C4—1112no—
531C22⋊C4—1124no—
532C22⋊C4—114no—
533C22⋊C4—226no—
534C22⋊C4—226no—
535C22⋊C4—2212no—
536C22⋊C4—226no—
537C22⋊C4—446no—
538C42—26no—
539C42—22no—
540C42—26no—
541C42—26no—
542C42—43no—
543C42—222no—
544C42—226no—
545C42—226no—
546C42—226no—
547C42—226no—
548C42—226no—
549C42C2×C4×D11112yes—
550C42C2×D44112yes—
551C11C4×#54811yescharacteristic, complemented, Sylow
552C23—112no—
553C23—112no—
554C23—112no—
555C23—116no—
556C23—221no—
557C23—221no—
558C23—221no—
559C23—221no—
560C23—223no—
561C23—223no—
562C23—223no—
563C23—223no—
564C23—223no—
565C23—223no—
566C23C24×D1111yescharacteristic
567Q8—2224no—
568Q8C4×D44116yescomplemented
569D4—2224no—
570D4—2224no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—23no—
575C2×C4—23no—
576C2×C4—23no—
577C2×C4—21no—
578C2×C4—23no—
579C2×C4—23no—
580C2×C4—23no—
581C2×C4—23no—
582C2×C4—116no—
583C2×C4—112no—
584C2×C4—112no—
585C2×C4—112no—
586C2×C4—221no—
587C2×C4—221no—
588C2×C4—221no—
589C2×C4—223no—
590C2×C4—221no—
591C2×C4—223no—
592C2×C4—221no—
593C2×C4—221no—
594C2×C4—2224no—
595C2×C4—2224no—
596C2×C4—228no—
597C2×C4—223no—
598C2×C4—223no—
599C2×C4—223no—
600C2×C4—223no—
601C2×C4—223no—
602C2×C4—223no—
603C2×C4—4412no—
604C2×C4—4412no—
605C2×C4—4412no—
606C2×C4C22×C4×D1112yes—
607C2×C4C22×C4×D1116yes—
608C2×C4C22×C4×D1116yes—
609C2×C4C22×D4416yes—
610C2×C4C22×D4416yes—
611C2×C4C22×D4412yes—
612C2×C4C2×#433916yes—
613C2×C4#6704012yes—
614C2×C4#41×D1112yes—
615C2×C4#41×D1112yes—
616C22—114no—
617C22—222no—
618C22—222no—
619C22—222no—
620C22—222no—
621C22—222no—
622C22—222no—
623C22—226no—
624C22—226no—
625C22—226no—
626C22—443no—
627C22—443no—
628C22—443no—
629C22—443no—
630C22C23×C4×D1111yescharacteristic
631C22C23×D4411yescharacteristic
632C22C22×#433911yescharacteristic
633C22C2×#6704011yescharacteristic
634C22C2×#41×D1111yescharacteristic
635C22C2×#41×D1111yescharacteristic
636C22#1062345311yescharacteristic
637C4—22no—
638C4—26no—
639C4—22no—
640C4—26no—
641C4—43no—
642C4—222no—
643C4—226no—
644C4—222no—
645C4—222no—
646C4—443no—
647C4—443no—
648C4C2×C4×D44112yes—
649C4#1062310714yesdirect product factor
650C2—224no—
651C2—446no—
652C2C22×C4×D4411yescharacteristic
653C2C4×#41×D1111yescharacteristic
654C2C4×#6704011yescharacteristic
655C2C2×#1062310711yescharacteristic
656C2#41×D4411yescharacteristic
657C2#1308221411yescharacteristic
658C2#1308223311yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC42×Q8×C11C2
socle, cosocleC23×C11C25
prime radicalC2×#10623107C2
hypercenterC42×Q8D11
hypocenterC11C4×#548
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C42×Q8

Complements

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

NH ≅ G/Ntype
2. C2×C4×#4343C2semidirect
3. C2×C4×Q8×D11C2semidirect
4. #13071687C2semidirect
5. #13071645C2semidirect
6. #13071634C2semidirect
7. #13071548C2semidirect
8. #13071537C2semidirect
9. #13071454C2semidirect
10. Q8×(C2×D11)⋊C4C2semidirect
11. C4×#66928C2semidirect
12. C4×#66950C2semidirect
13. C4×#66948C2semidirect
14. C42×D44C2semidirect
15. C42×Q8×C11C2semidirect
23. #10623107C4direct (N × H)
72. C2×#4343C2×C4semidirect
75. C2×Q8×D11C2×C4semidirect
86. C4×Q8×C11C2×C4semidirect
87. C4×Q8×C11D4semidirect
121. #66950C2×C4semidirect
122. #66948C2×C4semidirect
127. #66928C2×C4semidirect
131. C4×D44C2×C4semidirect
188. C2×C4×D11#41semidirect
210. (C2×D11)⋊C4#41semidirect
236. C42×Q8D11semidirect
253. Q8×C11C4×D4semidirect
375. C2×D11C4×#41semidirect
382. C4×C11#548semidirect
413. C4×Q8C4×D11semidirect
414. C4×Q8D44semidirect
551. C11C4×#548semidirect
568. Q8C4×D44semidirect
649. C4#10623107direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106231072
C2×C4×#43432
C2×C4×Q8×D112
#130716872
#130716452
#130716342
#130715482
#130715372
#130714542
Q8×(C2×D11)⋊C42
C4×#669282
C4×#669502
C4×#669482
C42×D442
C42×Q8×C112
C4×#54811