Finite Group Databasebeta

← C2×#13078238 #15620922

Subgroups — C2×#13078238 #15620922

Order 2816.

3242 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#67002C211yesmaximal, characteristic, complemented
2C22×M16×D11C211yesmaximal, characteristic, complemented
3C2×#10623359C211yesmaximal, characteristic, complemented
4C22×#66948C211yesmaximal, characteristic, complemented
5#13078238C2116yesmaximal, direct product factor
6C2×#10622395C212yesmaximal, complemented
7C2×#10622425C212yesmaximal, complemented
8C2×#10622388C212yesmaximal, complemented
9C2×#10622420C212yesmaximal, complemented
10C2×#10622577C211yesmaximal, characteristic, complemented
11C2×#10622744C211yesmaximal, characteristic, complemented
12C2×C11×#417C211yesmaximal, characteristic, complemented
13C22×C11×#41C2211yescharacteristic
14C23×D44—21no—
15C23×D44C2211yescharacteristic
16C23×C4×D11C2211yescharacteristic
17C22×C11×M16C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19#10623359—24no—
20#10623359C2218yescomplemented
21C2×#67002—28no—
22C2×#67002C2218yescomplemented
23C2×#66999C2211yescharacteristic, complemented
24C2×#66999C2211yescharacteristic, complemented
25C22×#4325C2212yescomplemented
26C2×#66991C2211yescharacteristic, complemented
27C2×#66991C2211yescharacteristic, complemented
28C2×#66990—21no—
29C2×#66988—21no—
30C22×#4323C2212yescomplemented
31C2×C4×C22⋊D11—21no—
32C2×C4×C22⋊D11—21no—
33C22×(C2×D11)⋊C4—21no—
34C2×#66979C2211yescharacteristic
35C22×#4318C2211yescharacteristic
36C2×M16×D11—28no—
37C2×M16×D11C2218yescomplemented
38C22×#4313C2212yescomplemented
39C22×C8×D11C2212yescomplemented
40C2×#66948—24no—
41C2×#66948—21no—
42C2×#66948—21no—
43C2×#66948C2212yes—
44C2×#66948C2212yes—
45C2×#66948C2218yescomplemented
46C11×#417C2218yescomplemented
47C2×C11×#103C2212yescomplemented
48C2×C11×#102C2212yescomplemented
49#10622744C2218yescomplemented
50C2×#66885C2212yescomplemented
51C2×#66885C2212yescomplemented
52#10622577C2218yescomplemented
53C2×#66872C2212yescomplemented
54C2×#66871C2212yescomplemented
55#10622425C22116yescomplemented
56#10622420C22116yescomplemented
57#10622395C22116yescomplemented
58#10622388C22116yescomplemented
59C24×D11—21no—
60C24×D11D411yescharacteristic
61C2×C11×#41—22no—
62C2×C11×#41—24no—
63C2×C11×#41—24no—
64C2×C11×#41C2314yes—
65C22×Q8×C11C2311yescharacteristic
66C22×D4×C11—21no—
67C22×D4×C11C2311yescharacteristic
68C23×C4×C11—21no—
69C23×C4×C11—21no—
70C23×C4×C11C2311yescharacteristic
71C22×C22⋊D11—21no—
72C22×C22⋊D11—21no—
73C23×Dic11D411yescharacteristic
74C22×D44—24no—
75C22×D44—24no—
76C22×D44—22no—
77C22×D44—22no—
78C22×D44—28no—
79C22×D44—21no—
80C22×D44—22no—
81C22×D44—48no—
82C22×D44C2312yes—
83C22×D44C2314yes—
84C22×C4×D11—24no—
85C22×C4×D11—24no—
86C22×C4×D11D411yescharacteristic
87C22×C4×D11D411yescharacteristic
88C22×C4×D11D414yes—
89C22×C4×D11C2311yescharacteristic
90C22×C4×D11C2311yescharacteristic
91C22×C4×D11C2314yes—
92C2×C11×M16—24no—
93C2×C11×M16C2314yes—
94C22×C8×C11C2312yes—
95C2×C11×C4⋊C4—21no—
96C2×C11×C4⋊C4—22no—
97C2×C11×C4⋊C4C2312yes—
98C2×C11×C4⋊C4C2314yes—
99C2×C22⋊Dic11—21no—
100C2×C22⋊Dic11—21no—
101C2×C22⋊Dic11—21no—
102#67002—232no—
103#66999—22no—
104#66999—22no—
105#66999C2314yescomplemented
106#66999C2314yescomplemented
107C2×#4325—28no—
108C2×#4325C2318yescomplemented
109#66991—22no—
110#66991—22no—
111#66991C2314yescomplemented
112#66991C2314yescomplemented
113#66990—28no—
114#66988—28no—
115C2×#4323—28no—
116C2×#4323C2318yescomplemented
117C4×C22⋊D11—28no—
118C4×C22⋊D11—28no—
119C2×(C2×D11)⋊C4—21no—
120C2×(C2×D11)⋊C4—21no—
121C2×(C2×D11)⋊C4—22no—
122C2×(C2×D11)⋊C4—22no—
123C2×(C2×D11)⋊C4—28no—
124#66979—22no—
125#66979C2314yes—
126C2×C4⋊Dic11C2311yescharacteristic
127C2×C4⋊Dic11C2311yescharacteristic
128C2×Dic11⋊C4—21no—
129C2×Dic11⋊C4—21no—
130C2×C4×Dic11—21no—
131C2×#4318D418yescomplemented
132C2×#4318C2314yes—
133C22×C11⋊C8C2312yes—
134M16×D11—232no—
135C2×#4313—28no—
136C2×#4313C2318yescomplemented
137C2×C8×D11—28no—
138C2×C8×D11C2318yescomplemented
139#66948—24no—
140#66948—24no—
141#66948—28no—
142#66948—28no—
143#66948C2318yes—
144#66948C2318yes—
145C11×#103C2318yescomplemented
146C11×#102C2318yescomplemented
147#66885C2318yescomplemented
148#66885C2318yescomplemented
149#66872C2318yescomplemented
150#66871C2318yescomplemented
151C2×#3055—111nomaximal, Sylow
152C24×C11—21no—
153C24×C11C2×D411yescharacteristic
154C23×D11—24no—
155C23×D11—24no—
156C23×D11—24no—
157C23×D11—22no—
158C23×D11—42no—
159C23×D11—44no—
160C23×D11—44no—
161C23×D11—44no—
162C23×D11C2×D411yescharacteristic
163C23×D11C2×D414yes—
164C23×D11C2×D411yescharacteristic
165C11×#41—28no—
166C11×#41—28no—
167C11×#41—48no—
168C2×Q8×C11—21no—
169C2×Q8×C11—22no—
170C2×Q8×C11—22no—
171C2×Q8×C11C2412yes—
172C2×D4×C11—24no—
173C2×D4×C11—22no—
174C2×D4×C11—21no—
175C2×D4×C11—22no—
176C2×D4×C11—44no—
177C2×D4×C11C2412yes—
178C22×C4×C11—21no—
179C22×C4×C11—24no—
180C22×C4×C11—22no—
181C22×C4×C11—24no—
182C22×C4×C11—44no—
183C22×C4×C11—44no—
184C22×C4×C11C2×D411yescharacteristic
185C22×C4×C11C2×D412yes—
186C22×C4×C11C2×D414yes—
187C22×C4×C11#4114yes—
188C22×C4×C11C2411yescharacteristic
189C22×C4×C11C2412yes—
190C2×C22⋊D11—24no—
191C2×C22⋊D11—24no—
192C2×C22⋊D11—44no—
193C2×C22⋊D11—44no—
194C22×Dic11—24no—
195C22×Dic11—21no—
196C22×Dic11—21no—
197C22×Dic11C2×D411yescharacteristic
198C22×Dic11C2×D411yescharacteristic
199C22×Dic11C2×D414yes—
200C2×D44—28no—
201C2×D44—28no—
202C2×D44—24no—
203C2×D44—22no—
204C2×D44—24no—
205C2×D44—28no—
206C2×D44—24no—
207C2×D44—28no—
208C2×D44—432no—
209C2×D44—48no—
210C2×D44—48no—
211C2×D44—44no—
212C2×D44—48no—
213C2×D44C2414yes—
214C2×C4×D11—24no—
215C2×C4×D11—24no—
216C2×C4×D11—216no—
217C2×C4×D11—22no—
218C2×C4×D11—22no—
219C2×C4×D11—28no—
220C2×C4×D11—22no—
221C2×C4×D11—22no—
222C2×C4×D11—28no—
223C2×C4×D11C2×D414yes—
224C2×C4×D11C2×D414yes—
225C2×C4×D11C2×D412yes—
226C2×C4×D11C2×D412yes—
227C2×C4×D11C2412yes—
228C2×C4×D11C2412yes—
229C11×M16—28no—
230C2×C8×C11—24no—
231C2×C8×C11C2414yes—
232C11×C4⋊C4—24no—
233C11×C4⋊C4—22no—
234C11×C4⋊C4C2414yes—
235C22⋊Dic11—24no—
236C22⋊Dic11—24no—
237C22⋊Dic11—24no—
238#4325—216no—
239#4323—216no—
240(C2×D11)⋊C4—28no—
241(C2×D11)⋊C4—28no—
242(C2×D11)⋊C4—24no—
243(C2×D11)⋊C4—24no—
244C4⋊Dic11—21no—
245C4⋊Dic11—21no—
246C4⋊Dic11C2412yes—
247C4⋊Dic11C2412yes—
248Dic11⋊C4—24no—
249Dic11⋊C4—24no—
250C4×Dic11—24no—
251#4318C2×D4116yescomplemented
252C2×C11⋊C8C2×D418yescomplemented
253C2×C11⋊C8C2414yes—
254#4313—216no—
255C8×D11—216no—
256C22×AGL(1,ℤ/8)—111no—
257C23×M16—111no—
258C2×#525—111no—
259C22×#121—111no—
260#3055—1116no—
261C2×#469—112no—
262C2×#468—112no—
263C2×#466—112no—
264C2×#465—112no—
265C2×#428—111no—
266C2×#417D1111yescharacteristic, complemented
267C2×#418—111no—
268C23×C11—22no—
269C23×C11—22no—
270C23×C11—22no—
271C23×C11—42no—
272C23×C11—42no—
273C23×C11—42no—
274C23×C11#12114yes—
275C23×C11C22×D412yes—
276C23×C11C22×D411yescharacteristic
277C22×D11—22no—
278C22×D11—22no—
279C22×D11—28no—
280C22×D11—22no—
281C22×D11—22no—
282C22×D11—22no—
283C22×D11—28no—
284C22×D11—24no—
285C22×D11—44no—
286C22×D11—416no—
287C22×D11—48no—
288C22×D11—48no—
289C22×D11—48no—
290C22×D11—44no—
291C22×D11—44no—
292C22×D11—44no—
293C22×D11—816no—
294C22×D11AGL(1,ℤ/8)14yescomplemented
295C22×D11C22×D412yes—
296C22×D11C22×D412yes—
297Q8×C11—22no—
298Q8×C11—22no—
299Q8×C11—42no—
300D4×C11—22no—
301D4×C11—22no—
302D4×C11—48no—
303D4×C11—42no—
304C2×C4×C11—22no—
305C2×C4×C11—24no—
306C2×C4×C11—48no—
307C2×C4×C11—42no—
308C2×C4×C11—44no—
309C2×C4×C11—48no—
310C2×C4×C11#12114yes—
311C2×C4×C11#12118yes—
312C2×C4×C11C22×D412yes—
313C2×C4×C11C22×D411yescharacteristic
314C2×C4×C11C22×D412yes—
315C2×C4×C11C22×D414yes—
316C2×C4×C11C2×#4112yes—
317C2×C4×C11C2×#4114yes—
318C2×C4×C11C2511yescharacteristic
319C22⋊D11—48no—
320C22⋊D11—48no—
321C2×Dic11—28no—
322C2×Dic11—22no—
323C2×Dic11—22no—
324C2×Dic11—22no—
325C2×Dic11—22no—
326C2×Dic11—42no—
327C2×Dic11—42no—
328C2×Dic11C22×D412yes—
329C2×Dic11C22×D412yes—
330D44—24no—
331D44—24no—
332D44—416no—
333D44—416no—
334D44—48no—
335D44—44no—
336C4×D11—28no—
337C4×D11—28no—
338C4×D11—24no—
339C4×D11—24no—
340C4×D11—22no—
341C4×D11—22no—
342C4×D11—22no—
343C4×D11—22no—
344C8×C11—24no—
345C11⋊C8C22×D418yescomplemented
346C22×#41C2×D1111yescharacteristic
347C23×D4—111no—
348C23×D4—221no—
349C24×C4—111no—
350C2×AGL(1,ℤ/8)—118no—
351C2×AGL(1,ℤ/8)—228no—
352C22×SD16—112no—
353C22×D8—112no—
354C22×M16—111no—
355C22×M16—118no—
356C22×M16—112no—
357C22×M16—228no—
358C22×M16C2×D1111yescharacteristic
359C23×C8—112no—
360#525—118no—
361#525—224no—
362C2×#123—221no—
363C2×C22⋊Q8—111no—
364C2×C22⋊Q8—111no—
365C2×#121—111no—
366C2×#121—111no—
367C2×#121—112no—
368C2×#121—112no—
369C2×#121—118no—
370C2×#121—221no—
371C2×#121—221no—
372C2×#121—224no—
373C2×#120—221no—
374C2×C4×D4—221no—
375C2×C4×D4—221no—
376C2×#117—111no—
377C22×C4⋊C4C2×D1111yescharacteristic
378C22×C22⋊C4—221no—
379#469—1116no—
380#468—1116no—
381#466—1116no—
382#465—1116no—
383#428—118no—
384C2×#107—112no—
385C2×#106—112no—
386#418—118no—
387#417C2×D1118yescomplemented
388C2×#103C2×D1112yescomplemented
389C2×#102—112no—
390C2×#102—112no—
391C2×#102C2×D1112yescomplemented
392C22×C11—28no—
393C22×C11—22no—
394C22×C11—22no—
395C22×C11—42no—
396C22×C11—42no—
397C22×C11—42no—
398C22×C11—84no—
399C22×C11C2×#12114yes—
400C22×C11C2×#12112yes—
401C22×C11C2×AGL(1,ℤ/8)12yes—
402C22×C11#57512yes—
403C22×C11C23×D411yescharacteristic
404C2×D11—22no—
405C2×D11—28no—
406C2×D11—22no—
407C2×D11—22no—
408C2×D11—22no—
409C2×D11—22no—
410C2×D11—416no—
411C2×D11—44no—
412C2×D11—44no—
413C2×D11—44no—
414C2×D11—44no—
415C2×D11—816no—
416C2×D11—88no—
417C2×D11C2×AGL(1,ℤ/8)14yescomplemented
418C4×C11—42no—
419C4×C11—44no—
420C4×C11C2×#12114yes—
421C4×C11C2×#12112yes—
422C4×C11C23×D411yescharacteristic
423C4×C11C22×#4111yescharacteristic
424Dic11—22no—
425Dic11—22no—
426Dic11—42no—
427Dic11—42no—
428C25—111no—
429C25—221no—
430C2×#41—22no—
431C2×#41—24no—
432C2×#41—24no—
433C2×#41C22×D1114yes—
434C22×Q8C22×D1111yescharacteristic
435C22×D4—21no—
436C22×D4—112no—
437C22×D4—114no—
438C22×D4—228no—
439C22×D4—222no—
440C22×D4—222no—
441C22×D4—221no—
442C22×D4—221no—
443C22×D4—224no—
444C22×D4—224no—
445C22×D4—222no—
446C22×D4—221no—
447C22×D4—448no—
448C22×D4C22×D1111yescharacteristic
449C23×C4—21no—
450C23×C4—21no—
451C23×C4—111no—
452C23×C4—111no—
453C23×C4—111no—
454C23×C4—114no—
455C23×C4—111no—
456C23×C4—111no—
457C23×C4—114no—
458C23×C4—224no—
459C23×C4—224no—
460C23×C4C22×D1111yescharacteristic
461AGL(1,ℤ/8)—2232no—
462C2×SD16—118no—
463C2×SD16—228no—
464C2×D8—118no—
465C2×D8—228no—
466C2×M16—24no—
467C2×M16—118no—
468C2×M16—114no—
469C2×M16—118no—
470C2×M16—228no—
471C2×M16—2232no—
472C2×M16C22×D1114yes—
473C22×C8—112no—
474C22×C8—118no—
475C22×C8—228no—
476C22×C8C22×D1112yes—
477#123—228no—
478C22⋊Q8—114no—
479C22⋊Q8—114no—
480C22⋊Q8—222no—
481C22⋊Q8—222no—
482#121—114no—
483#121—114no—
484#121—118no—
485#121—118no—
486#121—228no—
487#121—228no—
488#121—224no—
489#121—224no—
490#121—222no—
491#121—222no—
492#120—228no—
493C4×D4—228no—
494C4×D4—228no—
495#117—114no—
496#117—222no—
497C2×C4⋊C4—22no—
498C2×C4⋊C4—21no—
499C2×C4⋊C4—111no—
500C2×C4⋊C4—111no—
501C2×C4⋊C4—221no—
502C2×C4⋊C4—221no—
503C2×C4⋊C4C22×D1112yes—
504C2×C4⋊C4C22×D1114yes—
505C2×C22⋊C4—228no—
506C2×C22⋊C4—222no—
507C2×C22⋊C4—222no—
508C2×C22⋊C4—221no—
509C2×C22⋊C4—221no—
510C2×C22⋊C4—221no—
511C2×C22⋊C4—221no—
512C2×C22⋊C4—221no—
513C2×C42—221no—
514#107—118no—
515#106—118no—
516#103C22×D1118yescomplemented
517#102—118no—
518#102—118no—
519#102C22×D1118yescomplemented
520C2×C11—24no—
521C2×C11—82no—
522C2×C11#305514yescomplemented
523C2×C11C22×#12111yescharacteristic
524C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
525C2×C11C2×#57511yescharacteristic
526D11—24no—
527D11—42no—
528D11—84no—
529C24—21no—
530C24—111no—
531C24—111no—
532C24—114no—
533C24—224no—
534C24—224no—
535C24—224no—
536C24—222no—
537C24—442no—
538C24—444no—
539C24—444no—
540C24—444no—
541C24D4×D1111yescharacteristic
542#41—28no—
543#41—28no—
544#41—48no—
545C2×Q8—21no—
546C2×Q8—22no—
547C2×Q8—22no—
548C2×Q8C23×D1112yes—
549C2×D4—24no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—21no—
553C2×D4—44no—
554C2×D4—114no—
555C2×D4—228no—
556C2×D4—228no—
557C2×D4—224no—
558C2×D4—224no—
559C2×D4—224no—
560C2×D4—228no—
561C2×D4—224no—
562C2×D4—228no—
563C2×D4—224no—
564C2×D4—222no—
565C2×D4—448no—
566C2×D4—4432no—
567C2×D4—448no—
568C2×D4—444no—
569C2×D4—444no—
570C2×D4—444no—
571C2×D4—448no—
572C2×D4C23×D1112yes—
573C22×C4—24no—
574C22×C4—22no—
575C22×C4—21no—
576C22×C4—24no—
577C22×C4—44no—
578C22×C4—44no—
579C22×C4—114no—
580C22×C4—111no—
581C22×C4—111no—
582C22×C4—114no—
583C22×C4—114no—
584C22×C4—112no—
585C22×C4—112no—
586C22×C4—112no—
587C22×C4—112no—
588C22×C4—224no—
589C22×C4—224no—
590C22×C4—224no—
591C22×C4—2216no—
592C22×C4—222no—
593C22×C4—222no—
594C22×C4—228no—
595C22×C4—222no—
596C22×C4—228no—
597C22×C4—222no—
598C22×C4—221no—
599C22×C4—221no—
600C22×C4#433914yes—
601C22×C4D4×D1112yes—
602C22×C4D4×D1111yescharacteristic
603C22×C4D4×D1114yes—
604C22×C4C23×D1112yes—
605C22×C4C23×D1111yescharacteristic
606SD16—2216no—
607D8—2216no—
608M16—28no—
609M16—1116no—
610M16—2216no—
611C2×C8—24no—
612C2×C8—118no—
613C2×C8—114no—
614C2×C8—2216no—
615C2×C8C23×D1114yes—
616C4⋊C4—24no—
617C4⋊C4—22no—
618C4⋊C4—112no—
619C4⋊C4—112no—
620C4⋊C4—224no—
621C4⋊C4—224no—
622C4⋊C4—221no—
623C4⋊C4—221no—
624C4⋊C4C23×D1114yes—
625C22⋊C4—228no—
626C22⋊C4—228no—
627C22⋊C4—224no—
628C22⋊C4—224no—
629C22⋊C4—224no—
630C22⋊C4—224no—
631C22⋊C4—224no—
632C42—224no—
633C11C2×#305511yescharacteristic, complemented, Sylow
634C23—22no—
635C23—22no—
636C23—22no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—114no—
641C23—112no—
642C23—112no—
643C23—228no—
644C23—222no—
645C23—222no—
646C23—228no—
647C23—222no—
648C23—222no—
649C23—222no—
650C23—224no—
651C23—444no—
652C23—4416no—
653C23—448no—
654C23—448no—
655C23—448no—
656C23—444no—
657C23—444no—
658C23—444no—
659C23—8816no—
660C23#6693714yes—
661C23C2×D4×D1112yes—
662C23C2×D4×D1111yescharacteristic
663Q8—22no—
664Q8—22no—
665Q8—42no—
666D4—22no—
667D4—22no—
668D4—48no—
669D4—42no—
670D4—224no—
671D4—224no—
672D4—4416no—
673D4—4416no—
674D4—448no—
675D4—448no—
676D4—448no—
677D4—444no—
678C2×C4—24no—
679C2×C4—22no—
680C2×C4—48no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—48no—
684C2×C4—112no—
685C2×C4—112no—
686C2×C4—228no—
687C2×C4—222no—
688C2×C4—222no—
689C2×C4—228no—
690C2×C4—228no—
691C2×C4—224no—
692C2×C4—224no—
693C2×C4—222no—
694C2×C4—222no—
695C2×C4—222no—
696C2×C4—222no—
697C2×C4—222no—
698C2×C4—222no—
699C2×C4—442no—
700C2×C4—442no—
701C2×C4#6693714yes—
702C2×C4#6693718yes—
703C2×C4C2×#433912yes—
704C2×C4C2×#433914yes—
705C2×C4C2×D4×D1112yes—
706C2×C4C2×D4×D1111yescharacteristic
707C2×C4C2×D4×D1112yes—
708C2×C4C2×D4×D1114yes—
709C2×C4C24×D1111yescharacteristic
710C8—24no—
711C8—118no—
712C22—22no—
713C22—28no—
714C22—22no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—84no—
719C22—114no—
720C22—228no—
721C22—222no—
722C22—222no—
723C22—222no—
724C22—222no—
725C22—222no—
726C22—4416no—
727C22—444no—
728C22—444no—
729C22—444no—
730C22—444no—
731C22—8816no—
732C22—888no—
733C22C2×#6693714yes—
734C22C2×#6693712yes—
735C22D11×AGL(1,ℤ/8)12yes—
736C22#1062330812yes—
737C22C22×D4×D1111yescharacteristic
738C4—44no—
739C4—42no—
740C4—222no—
741C4—222no—
742C4—442no—
743C4—442no—
744C4C2×#6693714yes—
745C4C2×#6693712yes—
746C4C22×#433911yescharacteristic
747C4C22×D4×D1111yescharacteristic
748C2—24no—
749C2—82no—
750C2—224no—
751C2—442no—
752C2—884no—
753C2#1307823814yesdirect product factor
754C2C22×#6693711yescharacteristic
755C2C2×D11×AGL(1,ℤ/8)11yescharacteristic
756C2C2×#1062330811yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#417C2
socleC23×C11C22×D4
hypercenterC2×#417D11
hypocenterC11C2×#3055
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#417

Complements

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

NH ≅ G/Ntype
1. C22×#67002C2semidirect
2. C22×M16×D11C2semidirect
3. C2×#10623359C2semidirect
4. C22×#66948C2semidirect
5. #13078238C2direct (N × H)
6. C2×#10622395C2semidirect
7. C2×#10622425C2semidirect
8. C2×#10622388C2semidirect
9. C2×#10622420C2semidirect
10. C2×#10622577C2semidirect
11. C2×#10622744C2semidirect
12. C2×C11×#417C2semidirect
20. #10623359C22semidirect
22. C2×#67002C22semidirect
23. C2×#66999C22semidirect
24. C2×#66999C22semidirect
25. C22×#4325C22semidirect
26. C2×#66991C22semidirect
27. C2×#66991C22semidirect
30. C22×#4323C22semidirect
37. C2×M16×D11C22semidirect
38. C22×#4313C22semidirect
39. C22×C8×D11C22semidirect
45. C2×#66948C22semidirect
46. C11×#417C22semidirect
47. C2×C11×#103C22semidirect
48. C2×C11×#102C22semidirect
49. #10622744C22semidirect
50. C2×#66885C22semidirect
51. C2×#66885C22semidirect
52. #10622577C22semidirect
53. C2×#66872C22semidirect
54. C2×#66871C22semidirect
55. #10622425C22semidirect
56. #10622420C22semidirect
57. #10622395C22semidirect
58. #10622388C22semidirect
105. #66999C23semidirect
106. #66999C23semidirect
108. C2×#4325C23semidirect
111. #66991C23semidirect
112. #66991C23semidirect
116. C2×#4323C23semidirect
131. C2×#4318D4semidirect
136. C2×#4313C23semidirect
138. C2×C8×D11C23semidirect
145. C11×#103C23semidirect
146. C11×#102C23semidirect
147. #66885C23semidirect
148. #66885C23semidirect
149. #66872C23semidirect
150. #66871C23semidirect
251. #4318C2×D4semidirect
252. C2×C11⋊C8C2×D4semidirect
266. C2×#417D11semidirect
294. C22×D11AGL(1,ℤ/8)semidirect
345. C11⋊C8C22×D4semidirect
387. #417C2×D11semidirect
388. C2×#103C2×D11semidirect
391. C2×#102C2×D11semidirect
417. C2×D11C2×AGL(1,ℤ/8)semidirect
516. #103C22×D11semidirect
519. #102C22×D11semidirect
522. C2×C11#3055semidirect
633. C11C2×#3055semidirect
753. C2#13078238direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#670022
C22×M16×D112
C2×#106233592
C22×#669482
#130782382
C2×#106223952
C2×#106224252
C2×#106223882
C2×#106224202
C2×#106225772
C2×#106227442
C2×C11×#4172
C2×#305511