Finite Group Databasebeta

← C2×#13081442 #15633537

Subgroups — C2×#13081442 #15633537

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×#10623202C211yesmaximal, characteristic, complemented
2C2×#10623261C211yesmaximal, characteristic, complemented
3#13081442C2116yesmaximal, direct product factor
4C2×#10622410C211yesmaximal, characteristic, complemented
5C2×#10622381C211yesmaximal, characteristic, complemented
6C2×#10622409C211yesmaximal, characteristic, complemented
7C2×#10622707C211yesmaximal, characteristic, complemented
8C2×#10622379C211yesmaximal, characteristic, complemented
9C2×#10622400C211yesmaximal, characteristic
10C2×#10622670C211yesmaximal, characteristic
11C2×#10622431C211yesmaximal, characteristic, complemented
12C2×#10622314C211yesmaximal, characteristic, complemented
13C2×#10622398C211yesmaximal, characteristic
14C2×#10622323C211yesmaximal, characteristic, complemented
15C2×#10622401C211yesmaximal, characteristic, complemented
16C2×C11×#489C211yesmaximal, characteristic, complemented
17C2×C11×C4⋊Q8C2211yescharacteristic
18C2×C11×#124C2211yescharacteristic
19C2×#66999—21no—
20C2×#66999—21no—
21C2×Q8×Dic11C2211yescharacteristic
22C2×#66997C2211yescharacteristic
23C22×#4325C2211yescharacteristic
24C2×#66989C2211yescharacteristic
25C2×D4×Dic11C2211yescharacteristic
26C22×#4323C2211yescharacteristic
27C22×#4314C2211yescharacteristic
28#10623261—24no—
29#10623261C2218yescomplemented
30#10623202—24no—
31#10623202C2218yescomplemented
32C2×#66950—21no—
33C2×#66946C2211yescharacteristic
34C2×#66946C2211yescharacteristic
35C2×C4⋊C4×D11—21no—
36C2×#66943C2211yescharacteristic
37C2×#66943C2211yescharacteristic
38C2×#66932—21no—
39C2×#66932—21no—
40C2×#66931—21no—
41C2×#66930—21no—
42C2×C4×D44C2211yescharacteristic
43C2×C4×Dic22C2211yescharacteristic
44C2×C4×Dic22C2211yescharacteristic
45C11×#489C2218yescomplemented
46C2×C11×#103C2211yescharacteristic
47C2×C11×#103C2211yescharacteristic
48C2×C11×#102C2211yescharacteristic
49C2×C11×#102C2211yescharacteristic
50C2×C11×#97C2211yescharacteristic
51C2×#66899C2211yescharacteristic
52C2×#66896C2211yescharacteristic
53C2×#66885C2211yescharacteristic
54C2×#66882C2211yescharacteristic
55C2×#66880C2211yescharacteristic
56C2×#66879C2211yescharacteristic
57C2×Dic11⋊C8C2211yescharacteristic
58C2×Dic11⋊C8C2211yescharacteristic
59C2×C8×Dic11C2211yescharacteristic
60#10622707C2218yescomplemented
61#10622670C2218yes—
62C2×#66874C2211yescharacteristic
63C2×#66874C2211yescharacteristic
64C2×#66872C2211yescharacteristic
65C2×#66872C2211yescharacteristic
66C2×C4⋊(C11⋊C8)C2211yescharacteristic
67#10622431C2218yescomplemented
68#10622410C2218yescomplemented
69#10622409C2218yescomplemented
70#10622401C2218yescomplemented
71#10622400C2218yes—
72#10622398C2218yes—
73#10622381C2218yescomplemented
74#10622379C2218yescomplemented
75#10622323C2218yescomplemented
76#10622314C2218yescomplemented
77C22×Q8×C11—21no—
78C22×Q8×C11C2311yescharacteristic
79C22×D4×C11C2311yescharacteristic
80C23×Dic11—21no—
81C22×D44C2311yescharacteristic
82C22×C4×D11—21no—
83C22×C4×D11—21no—
84C22×C4×D11—21no—
85C22×Dic22D411yescharacteristic
86C22×Dic22C2311yescharacteristic
87C22×C8×C11C2311yescharacteristic
88C22×C8×C11C2311yescharacteristic
89C11×C4⋊Q8—22no—
90C11×C4⋊Q8C2314yes—
91C11×#124—22no—
92C11×#124C2314yes—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C22⋊C4—21no—
97C2×C11×C22⋊C4—21no—
98C2×C42×C11C2311yescharacteristic
99C2×C22⋊Dic11—21no—
100C2×C22⋊Dic11—21no—
101C2×C22⋊Dic11—21no—
102#66999—28no—
103#66999—28no—
104Q8×Dic11—22no—
105Q8×Dic11C2314yes—
106#66997—22no—
107#66997C2314yes—
108C2×#4325—24no—
109C2×#4325C2314yes—
110#66989—22no—
111#66989C2314yes—
112D4×Dic11—22no—
113D4×Dic11C2314yes—
114C2×#4323—24no—
115C2×#4323C2314yes—
116C2×(C2×D11)⋊C4—21no—
117C2×(C2×D11)⋊C4—21no—
118C2×(C2×D11)⋊C4—21no—
119C2×C4⋊Dic11—21no—
120C2×C4⋊Dic11—21no—
121C2×C4⋊Dic11—21no—
122C2×C4⋊Dic11D411yescharacteristic
123C2×C4⋊Dic11C2311yescharacteristic
124C2×C4⋊Dic11C2311yescharacteristic
125C2×Dic11⋊C4—21no—
126C2×Dic11⋊C4—21no—
127C2×Dic11⋊C4—21no—
128C2×Dic11⋊C4—21no—
129C2×Dic11⋊C4—21no—
130C2×Dic11⋊C4D411yescharacteristic
131C2×Dic11⋊C4D411yescharacteristic
132C2×C4×Dic11—21no—
133C2×C4×Dic11—21no—
134C2×C4×Dic11C2311yescharacteristic
135C2×C4×Dic11C2311yescharacteristic
136C22×C11⋊C8C2311yescharacteristic
137C22×C11⋊C8C2311yescharacteristic
138C2×#4314—24no—
139C2×#4314C2314yes—
140#66950—28no—
141#66946—22no—
142#66946—22no—
143#66946C2314yes—
144#66946C2314yes—
145C4⋊C4×D11—28no—
146#66943—22no—
147#66943—22no—
148#66943C2314yes—
149#66943C2314yes—
150#66932—28no—
151#66932—28no—
152#66931—28no—
153#66930—28no—
154C4×D44—22no—
155C4×D44C2314yes—
156C4×Dic22—22no—
157C4×Dic22D414yes—
158C4×Dic22C2314yes—
159C4×Dic22C2314yes—
160C11×#103C2314yes—
161C11×#103C2314yes—
162C11×#102C2314yes—
163C11×#102C2314yes—
164C11×#97C2314yes—
165#66899C2314yes—
166#66896C2314yes—
167#66885C2314yes—
168#66882C2314yes—
169#66880C2314yes—
170#66879C2314yes—
171Dic11⋊C8C2314yes—
172Dic11⋊C8C2314yes—
173C8×Dic11C2314yes—
174#66874C2314yes—
175#66874C2314yes—
176#66872C2314yes—
177#66872C2314yes—
178C4⋊(C11⋊C8)C2314yes—
179C2×#3376—111nomaximal, Sylow
180C24×C11—21no—
181C23×D11—21no—
182C2×Q8×C11—21no—
183C2×Q8×C11—24no—
184C2×Q8×C11—22no—
185C2×Q8×C11—22no—
186C2×Q8×C11—82no—
187C2×Q8×C11C2412yes—
188C2×D4×C11—21no—
189C2×D4×C11—22no—
190C2×D4×C11—22no—
191C2×D4×C11C2412yes—
192C22×C4×C11—21no—
193C22×C4×C11—21no—
194C22×C4×C11—21no—
195C22×C4×C11C2×D411yescharacteristic
196C22×C4×C11C2×D411yescharacteristic
197C22×C4×C11C2411yescharacteristic
198C22×Dic11—24no—
199C22×Dic11—21no—
200C22×Dic11—21no—
201C22×Dic11—21no—
202C22×Dic11—44no—
203C22×Dic11C2×D411yescharacteristic
204C22×Dic11C2×D411yescharacteristic
205C22×Dic11C2×D411yescharacteristic
206C22×Dic11C2×D411yescharacteristic
207C2×D44—21no—
208C2×D44—22no—
209C2×D44#4114yes—
210C2×D44C2412yes—
211C2×C4×D11—24no—
212C2×C4×D11—24no—
213C2×C4×D11—24no—
214C2×C4×D11—44no—
215C2×C4×D11—82no—
216C2×C4×D11—82no—
217C2×Dic22—21no—
218C2×Dic22—22no—
219C2×Dic22—22no—
220C2×Dic22—42no—
221C2×Dic22C2×D414yes—
222C2×Dic22C2412yes—
223C2×C8×C11—22no—
224C2×C8×C11—22no—
225C2×C8×C11C2412yes—
226C2×C8×C11C2412yes—
227C11×C4⋊C4—21no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—24no—
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—
239#4325—28no—
240#4323—28no—
241(C2×D11)⋊C4—24no—
242(C2×D11)⋊C4—24no—
243(C2×D11)⋊C4—24no—
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⋊C4C2×D414yes—
258Dic11⋊C4C2×D414yes—
259C4×Dic11—24no—
260C4×Dic11—24no—
261C4×Dic11C2×D412yes—
262C4×Dic11C2×D412yes—
263C4×Dic11C2412yes—
264C4×Dic11C2412yes—
265C2×C11⋊C8—22no—
266C2×C11⋊C8—22no—
267C2×C11⋊C8C2412yes—
268C2×C11⋊C8C2412yes—
269#4314—28no—
270C2×#556—111no—
271C2×#554—111no—
272#3376—1116no—
273C2×#491—111no—
274C2×#489D1111yescharacteristic, complemented
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×#442—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—24no—
292C22×D11—22no—
293C22×D11—42no—
294C22×D11—42no—
295Q8×C11—22no—
296Q8×C11—22no—
297Q8×C11—42no—
298Q8×C11—84no—
299D4×C11—22no—
300D4×C11—22no—
301D4×C11—42no—
302C2×C4×C11—22no—
303C2×C4×C11—22no—
304C2×C4×C11—22no—
305C2×C4×C11—22no—
306C2×C4×C11—22no—
307C2×C4×C11—42no—
308C2×C4×C11—42no—
309C2×C4×C11—42no—
310C2×C4×C11C22×D412yes—
311C2×C4×C11C22×D412yes—
312C2×C4×C11C22×D411yescharacteristic
313C2×C4×C11C2×#4112yes—
314C2×C4×C112−1+412yes—
315C2×C4×C11C2511yescharacteristic
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×Dic11C22×D412yes—
328C2×Dic11C22×D412yes—
329C2×Dic11C22×D412yes—
330C2×Dic11C22×D412yes—
331D44—24no—
332D44—22no—
333D44C2×#4114yes—
334C4×D11—48no—
335C4×D11—84no—
336C4×D11—84no—
337Dic22—22no—
338Dic22—22no—
339Dic22—44no—
340Dic22—42no—
341C8×C11—22no—
342C8×C11—22no—
343C11⋊C8—22no—
344C11⋊C8—22no—
345C22×SD16—111no—
346C22×SD16—111no—
347C22×D8—111no—
348#556—118no—
349#556—224no—
350#554—118no—
351#554—224no—
352C2×C4⋊Q8—111no—
353C2×C4⋊Q8C2×D1111yescharacteristic
354C2×#126—221no—
355C2×#126—221no—
356C2×#125—111no—
357C2×#125—111no—
358C2×#124—111no—
359C2×#124C2×D1111yescharacteristic
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×D4—111no—
370C2×C4×D4—111no—
371C2×#117—221no—
372C22×C4⋊C4—221no—
373#491—118no—
374#489C2×D1118yescomplemented
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#442—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⋊C8—111no—
392C2×#103—111no—
393C2×#103—111no—
394C2×#103—111no—
395C2×#103—111no—
396C2×#103C2×D1111yescharacteristic
397C2×#103C2×D1111yescharacteristic
398C2×#102—111no—
399C2×#102—111no—
400C2×#102C2×D1111yescharacteristic
401C2×#102C2×D1111yescharacteristic
402C2×#97—111no—
403C2×#97C2×D1111yescharacteristic
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—24no—
414C2×D11—48no—
415C2×D11—42no—
416C2×D11—42no—
417C4×C11—22no—
418C4×C11—22no—
419C4×C11—42no—
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—21no—
433C22×Q8—111no—
434C22×Q8—111no—
435C22×Q8C22×D1111yescharacteristic
436C22×D4—111no—
437C22×D4C22×D1111yescharacteristic
438C23×C4—221no—
439C23×C4—221no—
440C23×C4—221no—
441C23×C4—221no—
442C2×SD16—114no—
443C2×SD16—114no—
444C2×SD16—224no—
445C2×SD16—224no—
446C2×D8—114no—
447C2×D8—224no—
448C22×C8—111no—
449C22×C8—111no—
450C22×C8C22×D1111yescharacteristic
451C22×C8C22×D1111yescharacteristic
452C4⋊Q8—22no—
453C4⋊Q8—114no—
454C4⋊Q8—222no—
455C4⋊Q8C22×D1114yes—
456#126—228no—
457#126—228no—
458#125—114no—
459#125—114no—
460#125—222no—
461#125—222no—
462#124—22no—
463#124—114no—
464#124—222no—
465#124C22×D1114yes—
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—114no—
477C4×D4—114no—
478C4×D4—114no—
479C4×D4—114no—
480C4×D4—222no—
481C4×D4—222no—
482C4×D4—222no—
483C4×D4—222no—
484#117—228no—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—111no—
487C2×C4⋊C4—111no—
488C2×C4⋊C4—111no—
489C2×C4⋊C4—111no—
490C2×C4⋊C4—111no—
491C2×C4⋊C4—228no—
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#106—114no—
518C4⋊C8—114no—
519C4⋊C8—114no—
520C4⋊C8—114no—
521#103—114no—
522#103—114no—
523#103—114no—
524#103—114no—
525#103C22×D1114yes—
526#103C22×D1114yes—
527#102—114no—
528#102—114no—
529#102C22×D1114yes—
530#102C22×D1114yes—
531#97—114no—
532#97C22×D1114yes—
533C4×C8—114no—
534C2×C11—82no—
535C2×C11#337614yescomplemented
536C2×C11C2×#54811yescharacteristic
537C2×C11C2×#57511yescharacteristic
538C2×C11C2×#57711yescharacteristic
539D11—44no—
540C24—21no—
541C24—221no—
542C2×Q8—21no—
543C2×Q8—24no—
544C2×Q8—22no—
545C2×Q8—22no—
546C2×Q8—82no—
547C2×Q8—114no—
548C2×Q8—112no—
549C2×Q8—221no—
550C2×Q8—222no—
551C2×Q8—222no—
552C2×Q8—442no—
553C2×Q8C23×D1112yes—
554C2×D4—21no—
555C2×D4—22no—
556C2×D4—22no—
557C2×D4—114no—
558C2×D4—112no—
559C2×D4—221no—
560C2×D4—222no—
561C2×D4C23×D1112yes—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—111no—
566C22×C4—111no—
567C22×C4—111no—
568C22×C4—111no—
569C22×C4—224no—
570C22×C4—224no—
571C22×C4—224no—
572C22×C4—221no—
573C22×C4—221no—
574C22×C4—221no—
575C22×C4—224no—
576C22×C4—444no—
577C22×C4—444no—
578C22×C4—882no—
579C22×C4—882no—
580C22×C4D4×D1111yescharacteristic
581C22×C4D4×D1111yescharacteristic
582C22×C4C23×D1111yescharacteristic
583SD16—228no—
584SD16—228no—
585D8—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—21no—
597C4⋊C4—114no—
598C4⋊C4—114no—
599C4⋊C4—114no—
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—224no—
609C4⋊C4—221no—
610C4⋊C4—221no—
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—22no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—222no—
636C23—224no—
637C23—442no—
638C23—442no—
639C23C2×D4×D1111yescharacteristic
640Q8—22no—
641Q8—22no—
642Q8—42no—
643Q8—84no—
644Q8—222no—
645Q8—222no—
646Q8—444no—
647Q8—442no—
648D4—22no—
649D4—22no—
650D4—42no—
651D4—114no—
652D4—222no—
653D4—224no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
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—448no—
674C2×C4—448no—
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×C4#41×D1112yes—
684C2×C4#6704312yes—
685C2×C4C24×D1111yescharacteristic
686C8—22no—
687C8—22no—
688C8—222no—
689C8—222no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—84no—
694C22—224no—
695C22—448no—
696C22—442no—
697C22—442no—
698C22#1062320812yes—
699C22#1062330612yes—
700C22#1062330812yes—
701C22C22×D4×D1111yescharacteristic
702C4—22no—
703C4—22no—
704C4—42no—
705C4—42no—
706C4—42no—
707C4—222no—
708C4—222no—
709C4—222no—
710C4—222no—
711C4—442no—
712C4—442no—
713C4—442no—
714C4#1062320812yes—
715C4C2×#41×D1111yescharacteristic
716C4C2×#6704311yescharacteristic
717C2—82no—
718C2—444no—
719C2#1308144214yesdirect product factor
720C2C2×#1062320811yescharacteristic
721C2C2×#1062330811yescharacteristic
722C2C2×#1062330611yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#489C2
socleC23×C11C22×D4
prime radicalC22×#4323C22
hypercenterC2×#489D11
hypocenterC11C2×#3376
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#489

Complements

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

NH ≅ G/Ntype
1. C2×#10623202C2semidirect
2. C2×#10623261C2semidirect
3. #13081442C2direct (N × H)
4. C2×#10622410C2semidirect
5. C2×#10622381C2semidirect
6. C2×#10622409C2semidirect
7. C2×#10622707C2semidirect
8. C2×#10622379C2semidirect
11. C2×#10622431C2semidirect
12. C2×#10622314C2semidirect
14. C2×#10622323C2semidirect
15. C2×#10622401C2semidirect
16. C2×C11×#489C2semidirect
29. #10623261C22semidirect
31. #10623202C22semidirect
45. C11×#489C22semidirect
60. #10622707C22semidirect
67. #10622431C22semidirect
68. #10622410C22semidirect
69. #10622409C22semidirect
70. #10622401C22semidirect
73. #10622381C22semidirect
74. #10622379C22semidirect
75. #10622323C22semidirect
76. #10622314C22semidirect
274. C2×#489D11semidirect
374. #489C2×D11semidirect
535. C2×C11#3376semidirect
630. C11C2×#3376semidirect
719. C2#13081442direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106232022
C2×#106232612
#130814422
C2×#106224102
C2×#106223812
C2×#106224092
C2×#106227072
C2×#106223792
C2×#106224002
C2×#106226702
C2×#106224312
C2×#106223142
C2×#106223982
C2×#106223232
C2×#106224012
C2×C11×#4892
C2×#337611