Finite Group Databasebeta

← C2×#13081444 #15633539

Subgroups — C2×#13081444 #15633539

Order 2816.

1886 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623073C211yesmaximal, characteristic, complemented
2C2×#10623070C211yesmaximal, characteristic, complemented
3#13081444C2116yesmaximal, direct product factor
4C2×#10622316C211yesmaximal, characteristic, complemented
5C2×#10622378C211yesmaximal, characteristic, complemented
6C2×#10622381C211yesmaximal, characteristic, complemented
7C2×#10622470C211yesmaximal, characteristic, complemented
8C2×#10622467C211yesmaximal, characteristic, complemented
9C2×#10622622C211yesmaximal, characteristic, complemented
10C2×#10622766C211yesmaximal, characteristic
11C2×#10622766C211yesmaximal, characteristic
12C2×#10622632C211yesmaximal, characteristic, complemented
13C2×#10622314C211yesmaximal, characteristic, complemented
14C2×#10622370C211yesmaximal, characteristic, complemented
15C2×#10622371C211yesmaximal, characteristic, complemented
16C2×C11×#442C211yesmaximal, characteristic
17C22×C11×D8C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C2×#66989C2211yescharacteristic
21C2×#66989C2211yescharacteristic
22C2×D4×Dic11C2211yescharacteristic
23C2×D4×Dic11C2211yescharacteristic
24C22×#4324C2211yescharacteristic
25C22×#4324C2211yescharacteristic
26C2×#66979—21no—
27C2×#66977—21no—
28C2×#66977—21no—
29C22×Dic11⋊C4—21no—
30#10623073—24no—
31#10623073C2218yescomplemented
32#10623070—24no—
33#10623070C2218yescomplemented
34C2×#66943C2211yescharacteristic
35C2×#66941C2211yescharacteristic
36C2×#66940C2211yescharacteristic
37C2×#66940C2211yescharacteristic
38C2×#66932—21no—
39C2×#66932—21no—
40C2×#66931—21no—
41C2×#66931—21no—
42C2×#66923C2211yescharacteristic
43C2×#66922C2211yescharacteristic
44C2×C4×Dic22C2211yescharacteristic
45C11×#442C2218yes—
46C2×C11×#106C2211yescharacteristic
47C2×C11×#102C2211yescharacteristic
48C2×C11×#102C2211yescharacteristic
49C2×C11×#97C2211yescharacteristic
50C2×#66896C2211yescharacteristic
51C2×#66896C2211yescharacteristic
52#10622766C2218yes—
53#10622766C2218yes—
54C2×#66880C2211yescharacteristic
55C2×#66880C2211yescharacteristic
56C2×#66880C2211yescharacteristic
57C2×#66880C2211yescharacteristic
58C2×#66879C2211yescharacteristic
59C2×Dic11⋊C8C2211yescharacteristic
60C2×Dic11⋊C8C2211yescharacteristic
61C2×C8×Dic11C2211yescharacteristic
62#10622632C2218yescomplemented
63#10622622C2218yescomplemented
64C2×#66874C2211yescharacteristic
65C2×#66874C2211yescharacteristic
66C2×#66872C2211yescharacteristic
67C2×#66871C2211yescharacteristic
68C2×C4⋊(C11⋊C8)C2211yescharacteristic
69#10622470C2218yescomplemented
70#10622467C2218yescomplemented
71#10622381C2218yescomplemented
72#10622378C2218yescomplemented
73#10622371C2218yescomplemented
74#10622370C2218yescomplemented
75#10622316C2218yescomplemented
76#10622314C2218yescomplemented
77C22×D4×C11C2311yescharacteristic
78C22×D4×C11C2311yescharacteristic
79C23×C4×C11—21no—
80C23×C4×C11—21no—
81C23×Dic11—21no—
82C23×Dic11—21no—
83C22×Dic22—21no—
84C22×Dic22D411yescharacteristic
85C22×Dic22C2311yescharacteristic
86C22×Dic22C2311yescharacteristic
87C2×C11×D8—24no—
88C2×C11×D8C2314yes—
89C22×C8×C11C2311yescharacteristic
90C22×C8×C11C2311yescharacteristic
91C4×D4×C11—22no—
92C4×D4×C11—22no—
93C4×D4×C11C2314yes—
94C4×D4×C11C2314yes—
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C22⋊C4—21no—
98C2×C11×C22⋊C4—21no—
99C2×C42×C11C2311yescharacteristic
100C2×C22⋊Dic11—21no—
101C2×C22⋊Dic11—21no—
102C2×C22⋊Dic11—21no—
103C2×C22⋊Dic11—21no—
104C2×C22⋊Dic11—21no—
105C2×C22⋊Dic11—21no—
106#66989—22no—
107#66989—22no—
108#66989C2314yes—
109#66989C2314yes—
110D4×Dic11—22no—
111D4×Dic11—22no—
112D4×Dic11C2314yes—
113D4×Dic11C2314yes—
114C2×#4324—24no—
115C2×#4324—24no—
116C2×#4324C2314yes—
117C2×#4324C2314yes—
118#66979—28no—
119C2×C4⋊Dic11—21no—
120C2×C4⋊Dic11—21no—
121C2×C4⋊Dic11—21no—
122C2×C4⋊Dic11D411yescharacteristic
123C2×C4⋊Dic11C2311yescharacteristic
124C2×C4⋊Dic11C2311yescharacteristic
125#66977—28no—
126#66977—28no—
127C2×Dic11⋊C4—21no—
128C2×Dic11⋊C4—21no—
129C2×Dic11⋊C4—21no—
130C2×Dic11⋊C4—21no—
131C2×Dic11⋊C4—21no—
132C2×Dic11⋊C4—21no—
133C2×Dic11⋊C4—28no—
134C2×Dic11⋊C4D411yescharacteristic
135C2×Dic11⋊C4D411yescharacteristic
136C2×C4×Dic11—21no—
137C2×C4×Dic11—21no—
138C2×C4×Dic11C2311yescharacteristic
139C2×C4×Dic11C2311yescharacteristic
140C22×C11⋊C8C2311yescharacteristic
141C22×C11⋊C8C2311yescharacteristic
142#66943—22no—
143#66943C2314yes—
144#66941—22no—
145#66941C2314yes—
146#66940—22no—
147#66940—22no—
148#66940C2314yes—
149#66940C2314yes—
150#66932—28no—
151#66932—28no—
152#66931—28no—
153#66931—28no—
154#66923—22no—
155#66923C2314yes—
156#66922—22no—
157#66922C2314yes—
158C4×Dic22D414yes—
159C4×Dic22C2314yes—
160C11×#106C2314yes—
161C11×#102C2314yes—
162C11×#102C2314yes—
163C11×#97C2314yes—
164#66896C2314yes—
165#66896C2314yes—
166#66880C2314yes—
167#66880C2314yes—
168#66880C2314yes—
169#66880C2314yes—
170#66879C2314yes—
171Dic11⋊C8C2314yes—
172Dic11⋊C8C2314yes—
173C8×Dic11C2314yes—
174#66874C2314yes—
175#66874C2314yes—
176#66872C2314yes—
177#66871C2314yes—
178C4⋊(C11⋊C8)C2314yes—
179C2×#3376—111nomaximal, Sylow
180C24×C11—21no—
181C24×C11—21no—
182C2×D4×C11—21no—
183C2×D4×C11—21no—
184C2×D4×C11—22no—
185C2×D4×C11—22no—
186C2×D4×C11—22no—
187C2×D4×C11#4114yes—
188C2×D4×C11C2412yes—
189C2×D4×C11C2412yes—
190C22×C4×C11—21no—
191C22×C4×C11—21no—
192C22×C4×C11—24no—
193C22×C4×C11—24no—
194C22×C4×C11—44no—
195C22×C4×C11—82no—
196C22×C4×C11C2×D411yescharacteristic
197C22×C4×C11C2×D411yescharacteristic
198C22×C4×C11C2411yescharacteristic
199C22×Dic11—24no—
200C22×Dic11—24no—
201C22×Dic11—21no—
202C22×Dic11—21no—
203C22×Dic11—21no—
204C22×Dic11—21no—
205C22×Dic11—44no—
206C22×Dic11—82no—
207C22×Dic11C2×D411yescharacteristic
208C22×Dic11C2×D411yescharacteristic
209C22×Dic11C2×D411yescharacteristic
210C22×Dic11C2×D411yescharacteristic
211C2×Dic22—24no—
212C2×Dic22—21no—
213C2×Dic22—21no—
214C2×Dic22—22no—
215C2×Dic22—22no—
216C2×Dic22—22no—
217C2×Dic22—22no—
218C2×Dic22—42no—
219C2×Dic22—82no—
220C2×Dic22C2×D414yes—
221C2×Dic22C2412yes—
222C2×Dic22C2412yes—
223C11×D8—28no—
224C2×C8×C11—22no—
225C2×C8×C11—22no—
226C2×C8×C11C2412yes—
227C2×C8×C11C2412yes—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—21no—
230C11×C4⋊C4C2412yes—
231C11×C4⋊C4C2412yes—
232C11×C22⋊C4—24no—
233C11×C22⋊C4—24no—
234C42×C11C2×D412yes—
235C42×C11C2412yes—
236C22⋊Dic11—24no—
237C22⋊Dic11—24no—
238C22⋊Dic11—24no—
239C22⋊Dic11—24no—
240C22⋊Dic11—24no—
241C22⋊Dic11—24no—
242#4324—28no—
243#4324—28no—
244C4⋊Dic11—24no—
245C4⋊Dic11—24no—
246C4⋊Dic11—24no—
247C4⋊Dic11—21no—
248C4⋊Dic11—21no—
249C4⋊Dic11C2×D414yes—
250C4⋊Dic11C2412yes—
251C4⋊Dic11C2412yes—
252Dic11⋊C4—24no—
253Dic11⋊C4—24no—
254Dic11⋊C4—24no—
255Dic11⋊C4—24no—
256Dic11⋊C4—24no—
257Dic11⋊C4—24no—
258Dic11⋊C4C2×D414yes—
259Dic11⋊C4C2×D414yes—
260C4×Dic11—24no—
261C4×Dic11—24no—
262C4×Dic11C2×D412yes—
263C4×Dic11C2×D412yes—
264C4×Dic11C2412yes—
265C4×Dic11C2412yes—
266C2×C11⋊C8—22no—
267C2×C11⋊C8—22no—
268C2×C11⋊C8C2412yes—
269C2×C11⋊C8C2412yes—
270C2×#556—111no—
271C2×#554—111no—
272#3376—1116no—
273C2×#491—111no—
274C2×#489—111no—
275C2×#488—111no—
276C2×#479—111no—
277C2×#475—111no—
278C2×#478—111no—
279C2×#463—111no—
280C2×#463—111no—
281C2×#461—111no—
282C2×#446—111no—
283C2×#442D1111yescharacteristic
284C2×#440—111no—
285C2×C4×SD16—111no—
286C23×C11—24no—
287C23×C11—22no—
288C23×C11—22no—
289C23×C11—42no—
290C23×C11—42no—
291C23×C11—42no—
292C23×C11—42no—
293C23×C11—42no—
294C23×C11C22×D411yescharacteristic
295D4×C11—24no—
296D4×C11—22no—
297D4×C11—22no—
298D4×C11—22no—
299D4×C11—42no—
300D4×C11C2×#4114yes—
301C2×C4×C11—22no—
302C2×C4×C11—22no—
303C2×C4×C11—22no—
304C2×C4×C11—22no—
305C2×C4×C11—48no—
306C2×C4×C11—42no—
307C2×C4×C11—42no—
308C2×C4×C11—84no—
309C2×C4×C11C22×D412yes—
310C2×C4×C11C22×D412yes—
311C2×C4×C11C22×D411yescharacteristic
312C2×C4×C11C2×#4112yes—
313C2×C4×C112−1+412yes—
314C2×C4×C11C2511yescharacteristic
315C2×Dic11—22no—
316C2×Dic11—22no—
317C2×Dic11—22no—
318C2×Dic11—22no—
319C2×Dic11—22no—
320C2×Dic11—22no—
321C2×Dic11—22no—
322C2×Dic11—22no—
323C2×Dic11—48no—
324C2×Dic11—42no—
325C2×Dic11—42no—
326C2×Dic11—42no—
327C2×Dic11—42no—
328C2×Dic11—84no—
329C2×Dic11C22×D412yes—
330C2×Dic11C22×D412yes—
331C2×Dic11C22×D412yes—
332C2×Dic11C22×D412yes—
333Dic22—22no—
334Dic22—22no—
335Dic22—22no—
336Dic22—22no—
337Dic22—44no—
338Dic22—42no—
339Dic22—42no—
340Dic22—84no—
341C8×C11—22no—
342C8×C11—22no—
343C11⋊C8—22no—
344C11⋊C8—22no—
345C22×SD16—111no—
346C22×SD16—111no—
347C22×D8C2×D1111yescharacteristic
348#556—118no—
349#556—224no—
350#554—118no—
351#554—224no—
352C2×C4⋊Q8—111no—
353C2×C4⋊Q8—111no—
354C2×#126—221no—
355C2×#126—221no—
356C2×#125—111no—
357C2×#125—111no—
358C2×#124—111no—
359C2×#124—111no—
360C2×C22⋊Q8—221no—
361C2×C22⋊Q8—221no—
362C2×C22⋊Q8—221no—
363C2×C22⋊Q8—221no—
364C2×C4×Q8—111no—
365C2×C4×Q8—111no—
366C2×C4×Q8—111no—
367C2×C4×D4—111no—
368C2×C4×D4—111no—
369C2×C4×D4C2×D1111yescharacteristic
370C2×C4×D4C2×D1111yescharacteristic
371C2×#117—221no—
372C22×C4⋊C4—221no—
373#491—118no—
374#489—118no—
375#488—118no—
376#479—118no—
377#478—118no—
378#475—118no—
379#463—118no—
380#463—118no—
381#461—118no—
382#446—118no—
383#442C2×D1118yes—
384#440—118no—
385C4×SD16—118no—
386C2×#107—111no—
387C2×#106—111no—
388C2×#106C2×D1111yescharacteristic
389C2×C4⋊C8—111no—
390C2×C4⋊C8—111no—
391C2×C4⋊C8—111no—
392C2×#103—111no—
393C2×#103—111no—
394C2×#103—111no—
395C2×#103—111no—
396C2×#103—111no—
397C2×#103—111no—
398C2×#102—111no—
399C2×#102—111no—
400C2×#102C2×D1111yescharacteristic
401C2×#102C2×D1111yescharacteristic
402C2×#97—111no—
403C2×#97C2×D1111yescharacteristic
404C2×C4×C8—111no—
405C22×C11—24no—
406C22×C11—48no—
407C22×C11—42no—
408C22×C11—42no—
409C22×C11—42no—
410C22×C11—42no—
411C22×C11—42no—
412C22×C11—84no—
413C22×C11#54812yes—
414C22×C11#57512yes—
415C22×C11#57712yes—
416C22×C11C23×D411yescharacteristic
417C4×C11—22no—
418C4×C11—22no—
419C4×C11—42no—
420C4×C11—42no—
421C4×C11#54812yes—
422C4×C11C22×#4111yescharacteristic
423C4×C11C2×2−1+411yescharacteristic
424Dic11—22no—
425Dic11—22no—
426Dic11—22no—
427Dic11—22no—
428Dic11—42no—
429Dic11—42no—
430Dic11—42no—
431Dic11—42no—
432C22×Q8—111no—
433C22×Q8—111no—
434C22×Q8—111no—
435C22×Q8—221no—
436C22×D4C22×D1111yescharacteristic
437C22×D4C22×D1111yescharacteristic
438C23×C4—21no—
439C23×C4—21no—
440C23×C4—221no—
441C23×C4—221no—
442C2×SD16—114no—
443C2×SD16—114no—
444C2×SD16—224no—
445C2×SD16—224no—
446C2×D8—24no—
447C2×D8C22×D1114yes—
448C22×C8—111no—
449C22×C8—111no—
450C22×C8C22×D1111yescharacteristic
451C22×C8C22×D1111yescharacteristic
452C4⋊Q8—114no—
453C4⋊Q8—114no—
454C4⋊Q8—222no—
455C4⋊Q8—222no—
456#126—228no—
457#126—228no—
458#125—114no—
459#125—114no—
460#125—222no—
461#125—222no—
462#124—114no—
463#124—114no—
464#124—222no—
465#124—222no—
466C22⋊Q8—228no—
467C22⋊Q8—228no—
468C22⋊Q8—228no—
469C22⋊Q8—228no—
470C4×Q8—114no—
471C4×Q8—114no—
472C4×Q8—114no—
473C4×Q8—114no—
474C4×Q8—222no—
475C4×Q8—222no—
476C4×D4—22no—
477C4×D4—22no—
478C4×D4—114no—
479C4×D4—114no—
480C4×D4—222no—
481C4×D4—222no—
482C4×D4C22×D1114yes—
483C4×D4C22×D1114yes—
484#117—228no—
485C2×C4⋊C4—111no—
486C2×C4⋊C4—111no—
487C2×C4⋊C4—111no—
488C2×C4⋊C4—111no—
489C2×C4⋊C4—111no—
490C2×C4⋊C4—228no—
491C2×C4⋊C4—221no—
492C2×C4⋊C4—221no—
493C2×C4⋊C4—221no—
494C2×C4⋊C4—221no—
495C2×C4⋊C4—221no—
496C2×C4⋊C4—221no—
497C2×C4⋊C4—221no—
498C2×C4⋊C4—221no—
499C2×C4⋊C4—221no—
500C2×C4⋊C4C22×D1111yescharacteristic
501C2×C4⋊C4C22×D1111yescharacteristic
502C2×C22⋊C4—21no—
503C2×C22⋊C4—21no—
504C2×C22⋊C4—221no—
505C2×C22⋊C4—221no—
506C2×C22⋊C4—221no—
507C2×C22⋊C4—221no—
508C2×C22⋊C4—221no—
509C2×C22⋊C4—221no—
510C2×C42—111no—
511C2×C42—111no—
512C2×C42—221no—
513C2×C42—221no—
514C2×C42C22×D1111yescharacteristic
515#107—114no—
516#106—114no—
517#106C22×D1114yes—
518C4⋊C8—114no—
519C4⋊C8—114no—
520C4⋊C8—114no—
521#103—114no—
522#103—114no—
523#103—114no—
524#103—114no—
525#103—114no—
526#103—114no—
527#102—114no—
528#102—114no—
529#102C22×D1114yes—
530#102C22×D1114yes—
531#97—114no—
532#97C22×D1114yes—
533C4×C8—114no—
534C2×C11—44no—
535C2×C11—82no—
536C2×C11#337614yescomplemented
537C2×C11C2×#54811yescharacteristic
538C2×C11C2×#57511yescharacteristic
539C2×C11C2×#57711yescharacteristic
540C24—21no—
541C24—21no—
542C2×Q8—114no—
543C2×Q8—112no—
544C2×Q8—112no—
545C2×Q8—224no—
546C2×Q8—221no—
547C2×Q8—221no—
548C2×Q8—222no—
549C2×Q8—222no—
550C2×Q8—222no—
551C2×Q8—222no—
552C2×Q8—442no—
553C2×Q8—882no—
554C2×D4—22no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—22no—
559C2×D4#433914yes—
560C2×D4C23×D1112yes—
561C2×D4C23×D1112yes—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—24no—
565C22×C4—24no—
566C22×C4—44no—
567C22×C4—82no—
568C22×C4—111no—
569C22×C4—111no—
570C22×C4—111no—
571C22×C4—111no—
572C22×C4—224no—
573C22×C4—224no—
574C22×C4—221no—
575C22×C4—221no—
576C22×C4—221no—
577C22×C4—221no—
578C22×C4—444no—
579C22×C4—882no—
580C22×C4D4×D1111yescharacteristic
581C22×C4D4×D1111yescharacteristic
582C22×C4C23×D1111yescharacteristic
583SD16—228no—
584SD16—228no—
585D8—28no—
586C2×C8—22no—
587C2×C8—22no—
588C2×C8—112no—
589C2×C8—112no—
590C2×C8—222no—
591C2×C8—222no—
592C2×C8C23×D1112yes—
593C2×C8C23×D1112yes—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—114no—
597C4⋊C4—114no—
598C4⋊C4—114no—
599C4⋊C4—112no—
600C4⋊C4—112no—
601C4⋊C4—224no—
602C4⋊C4—224no—
603C4⋊C4—224no—
604C4⋊C4—224no—
605C4⋊C4—224no—
606C4⋊C4—221no—
607C4⋊C4—221no—
608C4⋊C4—224no—
609C4⋊C4—224no—
610C4⋊C4—224no—
611C4⋊C4—224no—
612C4⋊C4C23×D1112yes—
613C4⋊C4C23×D1112yes—
614C22⋊C4—24no—
615C22⋊C4—24no—
616C22⋊C4—224no—
617C22⋊C4—224no—
618C22⋊C4—224no—
619C22⋊C4—224no—
620C22⋊C4—224no—
621C22⋊C4—224no—
622C42—112no—
623C42—112no—
624C42—112no—
625C42—112no—
626C42—224no—
627C42—224no—
628C42D4×D1112yes—
629C42C23×D1112yes—
630C11C2×#337611yescharacteristic, complemented, Sylow
631C23—24no—
632C23—22no—
633C23—22no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23C2×D4×D1111yescharacteristic
640Q8—222no—
641Q8—222no—
642Q8—222no—
643Q8—222no—
644Q8—444no—
645Q8—442no—
646Q8—442no—
647Q8—884no—
648D4—24no—
649D4—22no—
650D4—22no—
651D4—22no—
652D4—42no—
653D4C2×#433914yes—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—48no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—84no—
662C2×C4—112no—
663C2×C4—112no—
664C2×C4—112no—
665C2×C4—112no—
666C2×C4—222no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—222no—
670C2×C4—222no—
671C2×C4—222no—
672C2×C4—222no—
673C2×C4—222no—
674C2×C4—448no—
675C2×C4—442no—
676C2×C4—442no—
677C2×C4—442no—
678C2×C4—442no—
679C2×C4—884no—
680C2×C4C2×#433912yes—
681C2×C4C2×D4×D1112yes—
682C2×C4C2×D4×D1112yes—
683C2×C4C2×D4×D1111yescharacteristic
684C2×C4#6704312yes—
685C2×C4C24×D1111yescharacteristic
686C8—22no—
687C8—22no—
688C8—222no—
689C8—222no—
690C22—24no—
691C22—48no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—84no—
698C22#1062308312yes—
699C22#1062330412yes—
700C22#1062330612yes—
701C22C22×D4×D1111yescharacteristic
702C4—22no—
703C4—22no—
704C4—42no—
705C4—42no—
706C4—222no—
707C4—222no—
708C4—222no—
709C4—222no—
710C4—442no—
711C4—442no—
712C4—442no—
713C4—442no—
714C4#1062308312yes—
715C4C22×#433911yescharacteristic
716C4C2×#6704311yescharacteristic
717C2—44no—
718C2—82no—
719C2#1308144414yesdirect product factor
720C2C2×#1062308311yescharacteristic
721C2C2×#1062330411yescharacteristic
722C2C2×#1062330611yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#442C2
socleC23×C11C22×D4
prime radicalC22×C11×D8C22
hypercenterC2×#442D11
hypocenterC11C2×#3376
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
1. C2×#10623073C2semidirect
2. C2×#10623070C2semidirect
3. #13081444C2direct (N × H)
4. C2×#10622316C2semidirect
5. C2×#10622378C2semidirect
6. C2×#10622381C2semidirect
7. C2×#10622470C2semidirect
8. C2×#10622467C2semidirect
9. C2×#10622622C2semidirect
12. C2×#10622632C2semidirect
13. C2×#10622314C2semidirect
14. C2×#10622370C2semidirect
15. C2×#10622371C2semidirect
31. #10623073C22semidirect
33. #10623070C22semidirect
62. #10622632C22semidirect
63. #10622622C22semidirect
69. #10622470C22semidirect
70. #10622467C22semidirect
71. #10622381C22semidirect
72. #10622378C22semidirect
73. #10622371C22semidirect
74. #10622370C22semidirect
75. #10622316C22semidirect
76. #10622314C22semidirect
536. C2×C11#3376semidirect
630. C11C2×#3376semidirect
719. C2#13081444direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106230732
C2×#106230702
#130814442
C2×#106223162
C2×#106223782
C2×#106223812
C2×#106224702
C2×#106224672
C2×#106226222
C2×#106227662
C2×#106226322
C2×#106223142
C2×#106223702
C2×#106223712
C2×C11×#4422
C2×#337611