Finite Group Databasebeta

← C2×#13081388 #15633558

Subgroups — C2×#13081388 #15633558

Order 2816.

1874 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×#10623212C211yesmaximal, characteristic
2C2×#10623100C211yesmaximal, characteristic, complemented
3#13081388C2116yesmaximal, direct product factor
4C2×#10622377C211yesmaximal, characteristic
5C2×#10622408C211yesmaximal, characteristic, complemented
6C2×#10622669C211yesmaximal, characteristic, complemented
7C2×#10622409C211yesmaximal, characteristic, complemented
8C2×#10622460C211yesmaximal, characteristic, complemented
9C2×#10622374C211yesmaximal, characteristic, complemented
10C2×#10622798C211yesmaximal, characteristic, complemented
11C2×#10622776C211yesmaximal, characteristic
12C2×#10622444C211yesmaximal, characteristic, complemented
13C2×#10622797C211yesmaximal, characteristic, complemented
14C2×#10622777C211yesmaximal, characteristic, complemented
15C2×C4×#4325C211yesmaximal, characteristic, complemented
16C2×C11×#464C211yesmaximal, characteristic, complemented
17C22×C11×Q16C2211yescharacteristic
18C22×C11×SD16C2211yescharacteristic
19C2×C11×#124C2211yescharacteristic
20C2×C4×Q8×C11C2211yescharacteristic
21C2×#67000C2211yescharacteristic
22C2×Q8×Dic11C2211yescharacteristic
23C2×Q8×Dic11C2211yescharacteristic
24C2×Q8×Dic11C2211yescharacteristic
25C22×#4325C2211yescharacteristic
26C2×#66993C2211yescharacteristic
27C2×D4×Dic11C2211yescharacteristic
28#10623212—24no—
29#10623212C2218yes—
30#10623100—24no—
31#10623100C2218yescomplemented
32C2×#66943—21no—
33C2×#66943C2211yescharacteristic
34C2×#66941—21no—
35C2×#66941C2211yescharacteristic
36C2×#66939—21no—
37C2×#66938—21no—
38C2×#66936—21no—
39C2×(C22⋊D11)⋊C4—21no—
40C2×C4×D44C2211yescharacteristic
41C2×#66923—21no—
42C2×#66923C2211yescharacteristic
43C2×C4×Dic22—21no—
44C2×C4×Dic22C2211yescharacteristic
45C11×#464C2218yescomplemented
46C2×C11×C4⋊C8C2211yescharacteristic
47C2×C11×#103C2211yescharacteristic
48C2×C11×#102C2211yescharacteristic
49C2×#66899C2211yescharacteristic
50C2×#66899C2211yescharacteristic
51C2×#66899C2211yescharacteristic
52C2×#66896C2211yescharacteristic
53C2×#66896C2211yescharacteristic
54#10622798C2218yescomplemented
55#10622797C2218yescomplemented
56#10622777C2218yescomplemented
57#10622776C2218yes—
58C2×#66885C2211yescharacteristic
59C2×#66885C2211yescharacteristic
60C2×#66882C2211yescharacteristic
61C2×#66881C2211yescharacteristic
62C2×#66879C2211yescharacteristic
63C2×#66879C2211yescharacteristic
64C2×Dic11⋊C8C2211yescharacteristic
65C2×Dic11⋊C8C2211yescharacteristic
66#10622669C2218yescomplemented
67C4×#4325C2218yescomplemented
68C2×#66873C2211yescharacteristic
69C2×#66872C2211yescharacteristic
70C2×C4×C11⋊C8C2211yescharacteristic
71#10622460C2218yescomplemented
72#10622444C2218yescomplemented
73#10622409C2218yescomplemented
74#10622408C2218yescomplemented
75#10622377C2218yes—
76#10622374C2218yescomplemented
77C22×Q8×C11C2311yescharacteristic
78C22×Q8×C11C2311yescharacteristic
79C22×D4×C11C2311yescharacteristic
80C22×C22⋊D11—21no—
81C22×C22⋊D11—21no—
82C23×Dic11—21no—
83C22×D44C2311yescharacteristic
84C22×C4×D11—21no—
85C22×Dic22—21no—
86C22×Dic22D411yescharacteristic
87C2×C11×Q16—24no—
88C2×C11×Q16C2314yes—
89C2×C11×SD16—24no—
90C2×C11×SD16C2314yes—
91C22×C8×C11C2311yescharacteristic
92C22×C8×C11C2311yescharacteristic
93C11×#124—22no—
94C11×#124C2314yes—
95C4×Q8×C11—22no—
96C4×Q8×C11C2314yes—
97C2×C11×C4⋊C4—21no—
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C22⋊C4—21no—
100C2×C11×C22⋊C4—21no—
101C2×C42×C11—21no—
102C2×C42×C11C2311yescharacteristic
103C2×C22⋊Dic11—21no—
104#67000—22no—
105#67000C2314yes—
106Q8×Dic11—22no—
107Q8×Dic11—22no—
108Q8×Dic11—22no—
109Q8×Dic11C2314yes—
110Q8×Dic11C2314yes—
111Q8×Dic11C2314yes—
112C2×#4325—24no—
113C2×#4325C2314yes—
114#66993—22no—
115#66993C2314yes—
116D4×Dic11—22no—
117D4×Dic11C2314yes—
118C2×(C2×D11)⋊C4—21no—
119C2×(C2×D11)⋊C4—21no—
120C2×(C2×D11)⋊C4—21no—
121C2×C4⋊Dic11—21no—
122C2×C4⋊Dic11—21no—
123C2×C4⋊Dic11—21no—
124C2×C4⋊Dic11—21no—
125C2×C4⋊Dic11D411yescharacteristic
126C2×C4⋊Dic11C2311yescharacteristic
127C2×C4⋊Dic11C2311yescharacteristic
128C2×C4⋊Dic11C2311yescharacteristic
129C2×Dic11⋊C4—21no—
130C2×Dic11⋊C4—21no—
131C2×Dic11⋊C4—21no—
132C2×Dic11⋊C4—21no—
133C2×Dic11⋊C4D411yescharacteristic
134C2×Dic11⋊C4D411yescharacteristic
135C2×C4×Dic11—21no—
136C2×C4×Dic11—21no—
137C2×C4×Dic11—21no—
138C2×C4×Dic11C2311yescharacteristic
139C2×C4×Dic11C2311yescharacteristic
140C22×C11⋊C8C2311yescharacteristic
141C22×C11⋊C8C2311yescharacteristic
142#66943—28no—
143#66943—22no—
144#66943C2314yes—
145#66941—28no—
146#66941—22no—
147#66941C2314yes—
148#66939—28no—
149#66938—28no—
150#66936—28no—
151(C22⋊D11)⋊C4—28no—
152C4×D44—22no—
153C4×D44C2314yes—
154#66923—22no—
155#66923—28no—
156#66923C2314yes—
157C4×Dic22—28no—
158C4×Dic22D414yes—
159C4×Dic22C2314yes—
160C11×C4⋊C8C2314yes—
161C11×#103C2314yes—
162C11×#102C2314yes—
163#66899C2314yes—
164#66899C2314yes—
165#66899C2314yes—
166#66896C2314yes—
167#66896C2314yes—
168#66885C2314yes—
169#66885C2314yes—
170#66882C2314yes—
171#66881C2314yes—
172#66879C2314yes—
173#66879C2314yes—
174Dic11⋊C8C2314yes—
175Dic11⋊C8C2314yes—
176#66873C2314yes—
177#66872C2314yes—
178C4×C11⋊C8C2314yes—
179C2×#3371—111nomaximal, Sylow
180C24×C11—21no—
181C23×D11—21no—
182C2×Q8×C11—21no—
183C2×Q8×C11—21no—
184C2×Q8×C11—22no—
185C2×Q8×C11—22no—
186C2×Q8×C11—22no—
187C2×Q8×C11#4114yes—
188C2×Q8×C11C2412yes—
189C2×Q8×C11C2412yes—
190C2×D4×C11—21no—
191C2×D4×C11—22no—
192C2×D4×C11—22no—
193C2×D4×C11C2412yes—
194C22×C4×C11—21no—
195C22×C4×C11—21no—
196C22×C4×C11—21no—
197C22×C4×C11C2×D411yescharacteristic
198C22×C4×C11C2×D411yescharacteristic
199C22×C4×C11C2411yescharacteristic
200C2×C22⋊D11—24no—
201C2×C22⋊D11—24no—
202C2×C22⋊D11—44no—
203C2×C22⋊D11—82no—
204C22×Dic11—24no—
205C22×Dic11—21no—
206C22×Dic11—21no—
207C22×Dic11—21no—
208C22×Dic11—82no—
209C22×Dic11C2×D411yescharacteristic
210C22×Dic11C2×D411yescharacteristic
211C22×Dic11C2×D411yescharacteristic
212C22×Dic11C2×D411yescharacteristic
213C2×D44—21no—
214C2×D44—22no—
215C2×D44—22no—
216C2×D44C2412yes—
217C2×C4×D11—24no—
218C2×C4×D11—82no—
219C2×Dic22—24no—
220C2×Dic22—42no—
221C2×Dic22—44no—
222C2×Dic22C2×D414yes—
223C11×Q16—28no—
224C11×SD16—28no—
225C2×C8×C11—22no—
226C2×C8×C11—22no—
227C2×C8×C11C2412yes—
228C2×C8×C11C2412yes—
229C11×C4⋊C4—24no—
230C11×C4⋊C4—21no—
231C11×C4⋊C4C2412yes—
232C11×C22⋊C4—24no—
233C11×C22⋊C4—24no—
234C42×C11—24no—
235C42×C11C2×D412yes—
236C42×C11C2412yes—
237C22⋊Dic11—24no—
238#4325—28no—
239(C2×D11)⋊C4—24no—
240(C2×D11)⋊C4—24no—
241(C2×D11)⋊C4—24no—
242C4⋊Dic11—24no—
243C4⋊Dic11—24no—
244C4⋊Dic11—24no—
245C4⋊Dic11—24no—
246C4⋊Dic11—21no—
247C4⋊Dic11—21no—
248C4⋊Dic11—21no—
249C4⋊Dic11C2×D414yes—
250C4⋊Dic11C2412yes—
251C4⋊Dic11C2412yes—
252C4⋊Dic11C2412yes—
253Dic11⋊C4—24no—
254Dic11⋊C4—24no—
255Dic11⋊C4—24no—
256Dic11⋊C4—24no—
257Dic11⋊C4C2×D414yes—
258Dic11⋊C4C2×D414yes—
259C4×Dic11—24no—
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×#559—111no—
271C2×#557—111no—
272#3371—1116no—
273C2×#490—111no—
274C2×#489—111no—
275C2×#488—111no—
276C2×#479—111no—
277C2×#478—111no—
278C2×#476—111no—
279C2×#464—111no—
280C2×#464D1111yescharacteristic, complemented
281C2×#460—111no—
282C2×#446—111no—
283C2×#441—111no—
284C2×#440—111no—
285C2×C4×SD16—111no—
286C23×C11—22no—
287C23×C11—42no—
288C23×C11—42no—
289C23×C11—42no—
290C23×C11C22×D411yescharacteristic
291C22×D11—22no—
292C22×D11—42no—
293C22×D11—42no—
294C22×D11—42no—
295Q8×C11—24no—
296Q8×C11—22no—
297Q8×C11—22no—
298Q8×C11—22no—
299Q8×C11—42no—
300Q8×C11C2×#4114yes—
301D4×C11—22no—
302D4×C11—22no—
303D4×C11—42no—
304C2×C4×C11—24no—
305C2×C4×C11—22no—
306C2×C4×C11—22no—
307C2×C4×C11—22no—
308C2×C4×C11—22no—
309C2×C4×C11—22no—
310C2×C4×C11—42no—
311C2×C4×C11—42no—
312C2×C4×C11C22×D412yes—
313C2×C4×C11C22×D412yes—
314C2×C4×C11C22×D411yescharacteristic
315C2×C4×C11C2×#4112yes—
316C2×C4×C112−1+412yes—
317C2×C4×C11C2511yescharacteristic
318C22⋊D11—48no—
319C22⋊D11—84no—
320C2×Dic11—22no—
321C2×Dic11—22no—
322C2×Dic11—22no—
323C2×Dic11—22no—
324C2×Dic11—22no—
325C2×Dic11—22no—
326C2×Dic11—22no—
327C2×Dic11—42no—
328C2×Dic11—42no—
329C2×Dic11—42no—
330C2×Dic11—84no—
331C2×Dic11C22×D412yes—
332C2×Dic11C22×D412yes—
333C2×Dic11C22×D412yes—
334C2×Dic11C22×D412yes—
335D44—22no—
336D44—22no—
337D44—42no—
338C4×D11—84no—
339Dic22—44no—
340Dic22—48no—
341C8×C11—22no—
342C8×C11—22no—
343C11⋊C8—22no—
344C11⋊C8—22no—
345C22×Q16C2×D1111yescharacteristic
346C22×SD16—111no—
347C22×SD16C2×D1111yescharacteristic
348#559—118no—
349#559—224no—
350#557—118no—
351#557—224no—
352C2×C4⋊Q8—111no—
353C2×C4⋊Q8—221no—
354C2×#127—111no—
355C2×#125—111no—
356C2×#125—111no—
357C2×#125—221no—
358C2×#125—221no—
359C2×#124—111no—
360C2×#124—221no—
361C2×#124C2×D1111yescharacteristic
362C2×#123—221no—
363C2×#123—221no—
364C2×C4×Q8—111no—
365C2×C4×Q8—111no—
366C2×C4×Q8—111no—
367C2×C4×Q8—111no—
368C2×C4×Q8—221no—
369C2×C4×Q8C2×D1111yescharacteristic
370C2×C4×D4—111no—
371C2×C4×D4—111no—
372C2×C4×D4—221no—
373#490—118no—
374#489—118no—
375#488—118no—
376#479—118no—
377#478—118no—
378#476—118no—
379#464—118no—
380#464C2×D1118yescomplemented
381#460—118no—
382#446—118no—
383#441—118no—
384#440—118no—
385C4×SD16—118no—
386C2×#107—111no—
387C2×#106—111no—
388C2×#106—111no—
389C2×C4⋊C8—111no—
390C2×C4⋊C8—111no—
391C2×C4⋊C8C2×D1111yescharacteristic
392C2×#103—111no—
393C2×#103—111no—
394C2×#103—111no—
395C2×#103C2×D1111yescharacteristic
396C2×#102—111no—
397C2×#102—111no—
398C2×#102—111no—
399C2×#102—111no—
400C2×#102—111no—
401C2×#102C2×D1111yescharacteristic
402C2×#97—111no—
403C2×#97—111no—
404C2×C4×C8—111no—
405C22×C11—42no—
406C22×C11—42no—
407C22×C11—42no—
408C22×C11—84no—
409C22×C11#54812yes—
410C22×C11#57512yes—
411C22×C11#57712yes—
412C22×C11C23×D411yescharacteristic
413C2×D11—42no—
414C2×D11—42no—
415C2×D11—42no—
416C2×D11—84no—
417C4×C11—24no—
418C4×C11—22no—
419C4×C11—22no—
420C4×C11—42no—
421C4×C11—42no—
422C4×C11#54812yes—
423C4×C11C22×#4111yescharacteristic
424C4×C11C2×2−1+411yescharacteristic
425Dic11—22no—
426Dic11—22no—
427Dic11—22no—
428Dic11—22no—
429Dic11—42no—
430Dic11—42no—
431Dic11—42no—
432C22×Q8—111no—
433C22×Q8—221no—
434C22×Q8C22×D1111yescharacteristic
435C22×Q8C22×D1111yescharacteristic
436C22×D4—111no—
437C22×D4—221no—
438C22×D4—221no—
439C22×D4C22×D1111yescharacteristic
440C23×C4—221no—
441C23×C4—221no—
442C2×Q16—24no—
443C2×Q16C22×D1114yes—
444C2×SD16—24no—
445C2×SD16—114no—
446C2×SD16—224no—
447C2×SD16C22×D1114yes—
448C22×C8—111no—
449C22×C8—111no—
450C22×C8C22×D1111yescharacteristic
451C22×C8C22×D1111yescharacteristic
452C4⋊Q8—114no—
453C4⋊Q8—222no—
454C4⋊Q8—228no—
455#127—114no—
456#127—222no—
457#125—114no—
458#125—114no—
459#125—228no—
460#125—222no—
461#125—228no—
462#125—222no—
463#124—22no—
464#124—114no—
465#124—222no—
466#124—228no—
467#124C22×D1114yes—
468#123—228no—
469#123—228no—
470C4×Q8—22no—
471C4×Q8—114no—
472C4×Q8—114no—
473C4×Q8—114no—
474C4×Q8—114no—
475C4×Q8—114no—
476C4×Q8—228no—
477C4×Q8—222no—
478C4×Q8—222no—
479C4×Q8—222no—
480C4×Q8C22×D1114yes—
481C4×D4—114no—
482C4×D4—114no—
483C4×D4—222no—
484C4×D4—228no—
485C4×D4—222no—
486C2×C4⋊C4—21no—
487C2×C4⋊C4—111no—
488C2×C4⋊C4—111no—
489C2×C4⋊C4—111no—
490C2×C4⋊C4—111no—
491C2×C4⋊C4—111no—
492C2×C4⋊C4—111no—
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⋊C4—221no—
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×C42—21no—
509C2×C42—111no—
510C2×C42—111no—
511C2×C42—221no—
512C2×C42—221no—
513C2×C42—221no—
514C2×C42C22×D1111yescharacteristic
515#107—114no—
516#106—114no—
517#106—114no—
518C4⋊C8—114no—
519C4⋊C8—114no—
520C4⋊C8C22×D1114yes—
521#103—114no—
522#103—114no—
523#103—114no—
524#103C22×D1114yes—
525#102—114no—
526#102—114no—
527#102—114no—
528#102—114no—
529#102—114no—
530#102C22×D1114yes—
531#97—114no—
532#97—114no—
533C4×C8—114no—
534C2×C11—82no—
535C2×C11#337114yescomplemented
536C2×C11C2×#54811yescharacteristic
537C2×C11C2×#57511yescharacteristic
538C2×C11C2×#57711yescharacteristic
539D11—82no—
540C24—21no—
541C24—221no—
542C2×Q8—21no—
543C2×Q8—21no—
544C2×Q8—22no—
545C2×Q8—22no—
546C2×Q8—22no—
547C2×Q8—114no—
548C2×Q8—224no—
549C2×Q8—442no—
550C2×Q8—444no—
551C2×Q8#434114yes—
552C2×Q8C23×D1112yes—
553C2×Q8C23×D1112yes—
554C2×D4—21no—
555C2×D4—22no—
556C2×D4—22no—
557C2×D4—112no—
558C2×D4—224no—
559C2×D4—224no—
560C2×D4—221no—
561C2×D4—222no—
562C2×D4—222no—
563C2×D4—444no—
564C2×D4—882no—
565C2×D4C23×D1112yes—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—111no—
570C22×C4—111no—
571C22×C4—111no—
572C22×C4—111no—
573C22×C4—224no—
574C22×C4—221no—
575C22×C4—221no—
576C22×C4—221no—
577C22×C4—224no—
578C22×C4—882no—
579C22×C4—882no—
580C22×C4D4×D1111yescharacteristic
581C22×C4D4×D1111yescharacteristic
582C22×C4C23×D1111yescharacteristic
583Q16—28no—
584SD16—28no—
585SD16—228no—
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—24no—
595C4⋊C4—21no—
596C4⋊C4—114no—
597C4⋊C4—114no—
598C4⋊C4—114no—
599C4⋊C4—112no—
600C4⋊C4—112no—
601C4⋊C4—112no—
602C4⋊C4—224no—
603C4⋊C4—224no—
604C4⋊C4—224no—
605C4⋊C4—224no—
606C4⋊C4—224no—
607C4⋊C4—224no—
608C4⋊C4—221no—
609C4⋊C4—221no—
610C4⋊C4—221no—
611C4⋊C4—224no—
612C4⋊C4—224no—
613C4⋊C4C23×D1112yes—
614C22⋊C4—24no—
615C22⋊C4—24no—
616C22⋊C4—224no—
617C22⋊C4—224no—
618C22⋊C4—224no—
619C22⋊C4—224no—
620C42—24no—
621C42—112no—
622C42—112no—
623C42—112no—
624C42—112no—
625C42—224no—
626C42—224no—
627C42—224no—
628C42D4×D1112yes—
629C42C23×D1112yes—
630C11C2×#337111yescharacteristic, complemented, Sylow
631C23—22no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—222no—
636C23—442no—
637C23—442no—
638C23—442no—
639C23C2×D4×D1111yescharacteristic
640Q8—24no—
641Q8—22no—
642Q8—22no—
643Q8—22no—
644Q8—42no—
645Q8—444no—
646Q8—448no—
647Q8C2×#434114yes—
648D4—22no—
649D4—22no—
650D4—42no—
651D4—222no—
652D4—222no—
653D4—448no—
654D4—442no—
655D4—884no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—112no—
665C2×C4—112no—
666C2×C4—112no—
667C2×C4—112no—
668C2×C4—222no—
669C2×C4—222no—
670C2×C4—222no—
671C2×C4—222no—
672C2×C4—222no—
673C2×C4—222no—
674C2×C4—222no—
675C2×C4—442no—
676C2×C4—442no—
677C2×C4—442no—
678C2×C4—884no—
679C2×C4—884no—
680C2×C4C2×D4×D1112yes—
681C2×C4C2×D4×D1112yes—
682C2×C4C2×D4×D1111yescharacteristic
683C2×C4C2×#434112yes—
684C2×C4#6704312yes—
685C2×C4C24×D1111yescharacteristic
686C8—22no—
687C8—22no—
688C8—222no—
689C8—222no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—84no—
694C22—442no—
695C22—442no—
696C22—442no—
697C22—884no—
698C22#1062312912yes—
699C22#1062329912yes—
700C22#1062330912yes—
701C22C22×D4×D1111yescharacteristic
702C4—24no—
703C4—22no—
704C4—22no—
705C4—42no—
706C4—42no—
707C4—222no—
708C4—222no—
709C4—222no—
710C4—222no—
711C4—442no—
712C4—442no—
713C4—442no—
714C4#1062312912yes—
715C4C22×#434111yescharacteristic
716C4C2×#6704311yescharacteristic
717C2—82no—
718C2—882no—
719C2#1308138814yesdirect product factor
720C2C2×#1062312911yescharacteristic
721C2C2×#1062329911yescharacteristic
722C2C2×#1062330911yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#464C2
socleC23×C11C22×D4
prime radicalC2×#66993C22
hypercenterC2×#464D11
hypocenterC11C2×#3371
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#464

Complements

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

NH ≅ G/Ntype
2. C2×#10623100C2semidirect
3. #13081388C2direct (N × H)
5. C2×#10622408C2semidirect
6. C2×#10622669C2semidirect
7. C2×#10622409C2semidirect
8. C2×#10622460C2semidirect
9. C2×#10622374C2semidirect
10. C2×#10622798C2semidirect
12. C2×#10622444C2semidirect
13. C2×#10622797C2semidirect
14. C2×#10622777C2semidirect
15. C2×C4×#4325C2semidirect
16. C2×C11×#464C2semidirect
31. #10623100C22semidirect
45. C11×#464C22semidirect
54. #10622798C22semidirect
55. #10622797C22semidirect
56. #10622777C22semidirect
66. #10622669C22semidirect
67. C4×#4325C22semidirect
71. #10622460C22semidirect
72. #10622444C22semidirect
73. #10622409C22semidirect
74. #10622408C22semidirect
76. #10622374C22semidirect
280. C2×#464D11semidirect
380. #464C2×D11semidirect
535. C2×C11#3371semidirect
630. C11C2×#3371semidirect
719. C2#13081388direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106232122
C2×#106231002
#130813882
C2×#106223772
C2×#106224082
C2×#106226692
C2×#106224092
C2×#106224602
C2×#106223742
C2×#106227982
C2×#106227762
C2×#106224442
C2×#106227972
C2×#106227772
C2×C4×#43252
C2×C11×#4642
C2×#337111