Finite Group Databasebeta

← C2×#13081163 #15632418

Subgroups — C2×#13081163 #15632418

Order 2816.

1898 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623073C211yesmaximal, characteristic, complemented
2C2×#10623096C211yesmaximal, characteristic
3#13081163C2116yesmaximal, direct product factor
4C2×#10622315C211yesmaximal, characteristic, complemented
5C2×#10622336C211yesmaximal, characteristic, complemented
6C2×#10622350C211yesmaximal, characteristic, complemented
7C2×#10622350C211yesmaximal, characteristic, complemented
8C2×#10622334C211yesmaximal, characteristic, complemented
9C2×#10622442C211yesmaximal, characteristic, complemented
10C2×#10622455C211yesmaximal, characteristic, complemented
11C2×#10622747C211yesmaximal, characteristic, complemented
12C2×#10622727C211yesmaximal, characteristic, complemented
13C2×#10622323C211yesmaximal, characteristic, complemented
14C2×#10622734C211yesmaximal, characteristic, complemented
15C2×#10622719C211yesmaximal, characteristic, complemented
16C2×C11×#435C211yesmaximal, characteristic, complemented
17C22×C11×M16C2211yescharacteristic
18C23×C8×C11C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C2×#66992—21no—
21C2×#66989—21no—
22C2×#66983C2211yescharacteristic
23C2×#66983C2211yescharacteristic
24C2×#66979C2211yescharacteristic
25C2×#66979C2211yescharacteristic
26C2×#66979C2211yescharacteristic
27C22×C4⋊Dic11C2211yescharacteristic
28C2×#66977C2211yescharacteristic
29C2×#66977C2211yescharacteristic
30C22×#4314C2211yescharacteristic
31#10623096—24no—
32#10623096C2218yes—
33#10623073—24no—
34#10623073C2218yescomplemented
35C2×#66951—21no—
36C2×#66940—21no—
37C2×#66936—21no—
38C2×(C22⋊D11)⋊C4—21no—
39C2×#66932—21no—
40C2×#66932—21no—
41C2×C4×D44C2211yescharacteristic
42C2×#66923C2211yescharacteristic
43C2×#66922C2211yescharacteristic
44C2×C4×Dic22C2211yescharacteristic
45C11×#435C2218yescomplemented
46C2×C11×C4⋊C8C2211yescharacteristic
47C2×C11×C22⋊C8C2211yescharacteristic
48C2×C11×C22⋊C8C2211yescharacteristic
49C2×C11×#97C2211yescharacteristic
50#10622747C2218yescomplemented
51#10622734C2218yescomplemented
52#10622727C2218yescomplemented
53C2×#66885C2211yescharacteristic
54C2×#66885C2211yescharacteristic
55C2×#66885C2211yescharacteristic
56#10622719C2218yescomplemented
57C2×#66882C2211yescharacteristic
58C2×#66882C2211yescharacteristic
59C2×#66882C2211yescharacteristic
60C2×#66882C2211yescharacteristic
61C2×#66881C2211yescharacteristic
62C2×#66881C2211yescharacteristic
63C2×#66881C2211yescharacteristic
64C2×#66881C2211yescharacteristic
65C2×#66881C2211yescharacteristic
66C2×#66880C2211yescharacteristic
67C2×#66880C2211yescharacteristic
68C2×#66880C2211yescharacteristic
69#10622455C2218yescomplemented
70#10622442C2218yescomplemented
71#10622350C2218yescomplemented
72#10622350C2218yescomplemented
73#10622336C2218yescomplemented
74#10622334C2218yescomplemented
75#10622323C2218yescomplemented
76#10622315C2218yescomplemented
77C22×D4×C11D411yescharacteristic
78C23×C4×C11C2311yescharacteristic
79C23×C4×C11C2311yescharacteristic
80C22×C22⋊D11—21no—
81C22×C22⋊D11—21no—
82C23×Dic11—21no—
83C22×D44C2311yescharacteristic
84C22×C4×D11—21no—
85C22×Dic22—21no—
86C22×Dic22C2311yescharacteristic
87C2×C11×M16—24no—
88C2×C11×M16C2314yes—
89C22×C8×C11—24no—
90C22×C8×C11C2311yescharacteristic
91C22×C8×C11C2311yescharacteristic
92C22×C8×C11C2311yescharacteristic
93C22×C8×C11C2314yes—
94C22×C8×C11C2311yescharacteristic
95C4×D4×C11D414yes—
96C4×D4×C11C2314yes—
97C2×C11×C4⋊C4D411yescharacteristic
98C2×C11×C22⋊C4D411yescharacteristic
99C2×C11×C22⋊C4D411yescharacteristic
100C2×C42×C11C2311yescharacteristic
101C2×C22⋊Dic11—21no—
102C2×C22⋊Dic11—21no—
103C2×C22⋊Dic11—21no—
104C2×C22⋊Dic11—21no—
105C2×C22⋊Dic11—21no—
106#66992—28no—
107#66989—28no—
108#66983—22no—
109#66983—22no—
110#66983C2314yes—
111#66983C2314yes—
112C2×(C2×D11)⋊C4—21no—
113C2×(C2×D11)⋊C4—21no—
114C2×(C2×D11)⋊C4—21no—
115#66979—22no—
116#66979—22no—
117#66979—22no—
118#66979C2314yes—
119#66979C2314yes—
120#66979C2314yes—
121C2×C4⋊Dic11—21no—
122C2×C4⋊Dic11—21no—
123C2×C4⋊Dic11—22no—
124C2×C4⋊Dic11C2311yescharacteristic
125C2×C4⋊Dic11C2311yescharacteristic
126C2×C4⋊Dic11C2311yescharacteristic
127C2×C4⋊Dic11C2314yes—
128C2×C4⋊Dic11C2311yescharacteristic
129C2×C4⋊Dic11C2311yescharacteristic
130C2×C4⋊Dic11C2311yescharacteristic
131#66977—22no—
132#66977—22no—
133#66977C2314yes—
134#66977C2314yes—
135C2×Dic11⋊C4—21no—
136C2×Dic11⋊C4—21no—
137C2×Dic11⋊C4—21no—
138C2×Dic11⋊C4—21no—
139C2×Dic11⋊C4—21no—
140C2×C4×Dic11—21no—
141C2×C4×Dic11—21no—
142C2×C4×Dic11—21no—
143C2×C4×Dic11—21no—
144C2×#4314—24no—
145C2×#4314C2314yes—
146#66951—28no—
147#66940—28no—
148#66936—28no—
149(C22⋊D11)⋊C4—28no—
150#66932—28no—
151#66932—28no—
152C4×D44—22no—
153C4×D44C2314yes—
154#66923—22no—
155#66923C2314yes—
156#66922—22no—
157#66922C2314yes—
158C4×Dic22—22no—
159C4×Dic22C2314yes—
160C11×C4⋊C8C2314yes—
161C11×C22⋊C8C2314yes—
162C11×C22⋊C8C2314yes—
163C11×#97C2314yes—
164#66885C2314yes—
165#66885C2314yes—
166#66885C2314yes—
167#66882C2314yes—
168#66882C2314yes—
169#66882C2314yes—
170#66882C2314yes—
171#66881C2314yes—
172#66881C2314yes—
173#66881C2314yes—
174#66881C2314yes—
175#66881C2314yes—
176#66880C2314yes—
177#66880C2314yes—
178#66880C2314yes—
179C2×#3350—111nomaximal, Sylow
180C24×C11C2×D411yescharacteristic
181C24×C11C2×D411yescharacteristic
182C23×D11—21no—
183C2×D4×C11—42no—
184C2×D4×C11C2×D414yes—
185C22×C4×C11—22no—
186C22×C4×C11—22no—
187C22×C4×C11—22no—
188C22×C4×C11—22no—
189C22×C4×C11C2×D411yescharacteristic
190C22×C4×C11C2×D411yescharacteristic
191C22×C4×C11C2×D411yescharacteristic
192C22×C4×C11C2×D411yescharacteristic
193C22×C4×C11C2×D412yes—
194C22×C4×C11C2×D412yes—
195C22×C4×C11C2412yes—
196C22×C4×C11C2412yes—
197C22×C4×C11C2411yescharacteristic
198C2×C22⋊D11—24no—
199C2×C22⋊D11—24no—
200C2×C22⋊D11—44no—
201C2×C22⋊D11—82no—
202C22×Dic11—21no—
203C22×Dic11—21no—
204C22×Dic11—21no—
205C22×Dic11—21no—
206C22×Dic11—21no—
207C22×Dic11—21no—
208C22×Dic11—21no—
209C22×Dic11—24no—
210C22×Dic11—82no—
211C2×D44—21no—
212C2×D44—22no—
213C2×D44—22no—
214C2×D44C2412yes—
215C2×C4×D11—24no—
216C2×C4×D11—82no—
217C2×Dic22—21no—
218C2×Dic22—24no—
219C2×Dic22—22no—
220C2×Dic22—22no—
221C2×Dic22—44no—
222C2×Dic22C2412yes—
223C11×M16—28no—
224C2×C8×C11—28no—
225C2×C8×C11—22no—
226C2×C8×C11—22no—
227C2×C8×C11—22no—
228C2×C8×C11#4114yes—
229C2×C8×C11C2412yes—
230C2×C8×C11C2412yes—
231C2×C8×C11C2412yes—
232C2×C8×C11C2412yes—
233C11×C4⋊C4C2×D414yes—
234C11×C22⋊C4C2×D414yes—
235C11×C22⋊C4C2×D414yes—
236C42×C11C2×D412yes—
237C42×C11C2412yes—
238C22⋊Dic11—24no—
239C22⋊Dic11—24no—
240C22⋊Dic11—24no—
241C22⋊Dic11—24no—
242C22⋊Dic11—24no—
243(C2×D11)⋊C4—24no—
244(C2×D11)⋊C4—24no—
245(C2×D11)⋊C4—24no—
246C4⋊Dic11—21no—
247C4⋊Dic11—21no—
248C4⋊Dic11—21no—
249C4⋊Dic11—24no—
250C4⋊Dic11—21no—
251C4⋊Dic11—21no—
252C4⋊Dic11—21no—
253C4⋊Dic11—24no—
254C4⋊Dic11C2412yes—
255C4⋊Dic11C2412yes—
256C4⋊Dic11C2412yes—
257C4⋊Dic11C2412yes—
258C4⋊Dic11C2412yes—
259C4⋊Dic11C2412yes—
260Dic11⋊C4—24no—
261Dic11⋊C4—24no—
262Dic11⋊C4—24no—
263Dic11⋊C4—24no—
264Dic11⋊C4—24no—
265C4×Dic11—24no—
266C4×Dic11—24no—
267C4×Dic11—24no—
268C4×Dic11—24no—
269#4314—28no—
270C2×#556—111no—
271C2×#553—111no—
272#3350—1116no—
273C2×#501—111no—
274C2×#485—111no—
275C2×#482—111no—
276C2×#482—111no—
277C2×#483—111no—
278C2×#479—111no—
279C2×#476—111no—
280C2×#468—111no—
281C2×#465—111no—
282C2×#440—111no—
283C2×#435D1111yescharacteristic, complemented
284C2×#428—111no—
285C2×#427—111no—
286C23×C11—22no—
287C23×C11—22no—
288C23×C11—22no—
289C23×C11—22no—
290C23×C11—22no—
291C23×C11—22no—
292C23×C11C22×D412yes—
293C23×C11C22×D412yes—
294C23×C11C22×D411yescharacteristic
295C22×D11—22no—
296C22×D11—42no—
297C22×D11—42no—
298C22×D11—42no—
299D4×C11—44no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—22no—
303C2×C4×C11—22no—
304C2×C4×C11—24no—
305C2×C4×C11—24no—
306C2×C4×C11—22no—
307C2×C4×C11—22no—
308C2×C4×C11—22no—
309C2×C4×C11—22no—
310C2×C4×C11C22×D412yes—
311C2×C4×C11C22×D412yes—
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—42no—
331C2×Dic11—42no—
332C2×Dic11—42no—
333C2×Dic11—42no—
334C2×Dic11—84no—
335D44—22no—
336D44—22no—
337D44—42no—
338C4×D11—84no—
339Dic22—22no—
340Dic22—22no—
341Dic22—48no—
342Dic22—42no—
343C8×C11—22no—
344C8×C11—22no—
345C8×C11—22no—
346C8×C11C2×#4114yes—
347C22×SD16—111no—
348C22×M16C2×D1111yescharacteristic
349C23×C8C2×D1111yescharacteristic
350#556—118no—
351#556—224no—
352#553—118no—
353#553—224no—
354C2×C4⋊Q8—111no—
355C2×#126—221no—
356C2×#126—221no—
357C2×#126—221no—
358C2×#125—111no—
359C2×#124—221no—
360C2×#123—221no—
361C2×C22⋊Q8—111no—
362C2×C22⋊Q8—111no—
363C2×#121—111no—
364C2×#121—111no—
365C2×#121—221no—
366C2×C4×Q8—111no—
367C2×C4×Q8—221no—
368C2×C4×D4—111no—
369C2×C4×D4—221no—
370C2×C4×D4C2×D1111yescharacteristic
371C2×#117—111no—
372C2×#117—111no—
373C2×#117—111no—
374C22×C4⋊C4—111no—
375#501—118no—
376#485—118no—
377#483—118no—
378#482—118no—
379#482—118no—
380#479—118no—
381#476—118no—
382#468—118no—
383#465—118no—
384#440—118no—
385#435C2×D1118yescomplemented
386#428—118no—
387#427—118no—
388C2×#107—111no—
389C2×#107—111no—
390C2×#107—111no—
391C2×#107—111no—
392C2×#106—111no—
393C2×#106—111no—
394C2×#106—111no—
395C2×#106—111no—
396C2×#106—111no—
397C2×C4⋊C8C2×D1111yescharacteristic
398C2×#103—111no—
399C2×#103—111no—
400C2×#103—111no—
401C2×#102—111no—
402C2×#102—111no—
403C2×#102—111no—
404C2×C22⋊C8C2×D1111yescharacteristic
405C2×C22⋊C8C2×D1111yescharacteristic
406C2×#97C2×D1111yescharacteristic
407C22×C11—22no—
408C22×C11—22no—
409C22×C11—22no—
410C22×C11—22no—
411C22×C11—22no—
412C22×C11—22no—
413C22×C11—44no—
414C22×C11—44no—
415C22×C11#54712yes—
416C22×C11#57512yes—
417C22×C11#57712yes—
418C22×C11C23×D411yescharacteristic
419C2×D11—42no—
420C2×D11—42no—
421C2×D11—42no—
422C2×D11—84no—
423C4×C11—22no—
424C4×C11—22no—
425C4×C11—22no—
426C4×C11—22no—
427C4×C11#54712yes—
428C4×C11C22×#4111yescharacteristic
429C4×C11C2×2−1+411yescharacteristic
430Dic11—42no—
431Dic11—42no—
432Dic11—42no—
433Dic11—42no—
434Dic11—42no—
435Dic11—42no—
436Dic11—42no—
437C22×Q8—111no—
438C22×Q8—221no—
439C22×D4—111no—
440C22×D4—221no—
441C22×D4—221no—
442C22×D4D4411yescharacteristic
443C23×C4—221no—
444C23×C4—221no—
445C23×C4C22×D1111yescharacteristic
446C23×C4C22×D1111yescharacteristic
447C2×SD16—114no—
448C2×SD16—224no—
449C2×M16—24no—
450C2×M16C22×D1114yes—
451C22×C8—24no—
452C22×C8C22×D1111yescharacteristic
453C22×C8C22×D1114yes—
454C22×C8C22×D1111yescharacteristic
455C22×C8C22×D1111yescharacteristic
456C22×C8C22×D1111yescharacteristic
457C4⋊Q8—114no—
458C4⋊Q8—222no—
459#126—228no—
460#126—228no—
461#126—228no—
462#125—114no—
463#125—222no—
464#124—228no—
465#123—228no—
466C22⋊Q8—114no—
467C22⋊Q8—114no—
468C22⋊Q8—222no—
469C22⋊Q8—222no—
470#121—114no—
471#121—114no—
472#121—228no—
473#121—222no—
474#121—222no—
475C4×Q8—114no—
476C4×Q8—228no—
477C4×Q8—222no—
478C4×D4—114no—
479C4×D4—228no—
480C4×D4—222no—
481C4×D4D4414yes—
482C4×D4C22×D1114yes—
483#117—114no—
484#117—114no—
485#117—114no—
486#117—222no—
487#117—222no—
488#117—222no—
489C2×C4⋊C4—111no—
490C2×C4⋊C4—111no—
491C2×C4⋊C4—114no—
492C2×C4⋊C4—111no—
493C2×C4⋊C4—111no—
494C2×C4⋊C4—111no—
495C2×C4⋊C4—111no—
496C2×C4⋊C4—221no—
497C2×C4⋊C4—222no—
498C2×C4⋊C4—221no—
499C2×C4⋊C4—221no—
500C2×C4⋊C4—221no—
501C2×C4⋊C4—221no—
502C2×C4⋊C4—221no—
503C2×C4⋊C4—221no—
504C2×C4⋊C4D4411yescharacteristic
505C2×C22⋊C4—221no—
506C2×C22⋊C4—221no—
507C2×C22⋊C4—221no—
508C2×C22⋊C4—221no—
509C2×C22⋊C4—221no—
510C2×C22⋊C4—221no—
511C2×C22⋊C4—221no—
512C2×C22⋊C4—221no—
513C2×C22⋊C4D4411yescharacteristic
514C2×C22⋊C4D4411yescharacteristic
515C2×C42—221no—
516C2×C42—221no—
517C2×C42—221no—
518C2×C42—221no—
519C2×C42C22×D1111yescharacteristic
520#107—114no—
521#107—114no—
522#107—114no—
523#107—114no—
524#106—114no—
525#106—114no—
526#106—114no—
527#106—114no—
528#106—114no—
529C4⋊C8C22×D1114yes—
530#103—114no—
531#103—114no—
532#103—114no—
533#102—114no—
534#102—114no—
535#102—114no—
536C22⋊C8C22×D1114yes—
537C22⋊C8C22×D1114yes—
538#97C22×D1114yes—
539C2×C11—42no—
540C2×C11—42no—
541C2×C11#335014yescomplemented
542C2×C11C2×#54711yescharacteristic
543C2×C11C2×#57511yescharacteristic
544C2×C11C2×#57711yescharacteristic
545D11—82no—
546C24—221no—
547C24C2×D4411yescharacteristic
548C24C2×D4411yescharacteristic
549C2×Q8—112no—
550C2×Q8—221no—
551C2×Q8—224no—
552C2×Q8—222no—
553C2×Q8—222no—
554C2×Q8—444no—
555C2×D4—42no—
556C2×D4—112no—
557C2×D4—224no—
558C2×D4—224no—
559C2×D4—221no—
560C2×D4—222no—
561C2×D4—222no—
562C2×D4—444no—
563C2×D4—882no—
564C2×D4C2×D4414yes—
565C22×C4—22no—
566C22×C4—22no—
567C22×C4—22no—
568C22×C4—22no—
569C22×C4—221no—
570C22×C4—221no—
571C22×C4—221no—
572C22×C4—221no—
573C22×C4—221no—
574C22×C4—221no—
575C22×C4—221no—
576C22×C4—224no—
577C22×C4—224no—
578C22×C4—882no—
579C22×C4—882no—
580C22×C4C2×D4412yes—
581C22×C4C2×D4412yes—
582C22×C4C2×D4411yescharacteristic
583C22×C4C2×D4411yescharacteristic
584C22×C4C2×D4411yescharacteristic
585C22×C4C2×D4411yescharacteristic
586C22×C4C23×D1112yes—
587C22×C4C23×D1112yes—
588C22×C4C23×D1111yescharacteristic
589SD16—228no—
590M16—28no—
591C2×C8—22no—
592C2×C8—22no—
593C2×C8—22no—
594C2×C8—28no—
595C2×C8#434114yes—
596C2×C8C23×D1112yes—
597C2×C8C23×D1112yes—
598C2×C8C23×D1112yes—
599C2×C8C23×D1112yes—
600C4⋊C4—112no—
601C4⋊C4—112no—
602C4⋊C4—112no—
603C4⋊C4—112no—
604C4⋊C4—112no—
605C4⋊C4—112no—
606C4⋊C4—221no—
607C4⋊C4—221no—
608C4⋊C4—224no—
609C4⋊C4—221no—
610C4⋊C4—221no—
611C4⋊C4—221no—
612C4⋊C4—221no—
613C4⋊C4—224no—
614C4⋊C4—224no—
615C4⋊C4—224no—
616C4⋊C4—224no—
617C4⋊C4—224no—
618C4⋊C4—224no—
619C4⋊C4C2×D4414yes—
620C22⋊C4—224no—
621C22⋊C4—224no—
622C22⋊C4—224no—
623C22⋊C4—224no—
624C22⋊C4—224no—
625C22⋊C4—224no—
626C22⋊C4—224no—
627C22⋊C4—224no—
628C22⋊C4C2×D4414yes—
629C22⋊C4C2×D4414yes—
630C42—224no—
631C42—224no—
632C42—224no—
633C42—224no—
634C42C2×D4412yes—
635C42C23×D1112yes—
636C11C2×#335011yescharacteristic, complemented, Sylow
637C23—22no—
638C23—22no—
639C23—22no—
640C23—22no—
641C23—22no—
642C23—22no—
643C23—222no—
644C23—442no—
645C23—442no—
646C23—442no—
647C23C22×D4412yes—
648C23C22×D4412yes—
649C23C22×D4411yescharacteristic
650Q8—222no—
651Q8—222no—
652Q8—448no—
653Q8—442no—
654D4—44no—
655D4—222no—
656D4—222no—
657D4—448no—
658D4—442no—
659D4—884no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—222no—
671C2×C4—222no—
672C2×C4—222no—
673C2×C4—222no—
674C2×C4—222no—
675C2×C4—222no—
676C2×C4—222no—
677C2×C4—442no—
678C2×C4—442no—
679C2×C4—442no—
680C2×C4—442no—
681C2×C4—442no—
682C2×C4—442no—
683C2×C4—442no—
684C2×C4—884no—
685C2×C4—884no—
686C2×C4C22×D4412yes—
687C2×C4C22×D4412yes—
688C2×C4C22×D4412yes—
689C2×C4C22×D4412yes—
690C2×C4C22×D4411yescharacteristic
691C2×C4C2×#434112yes—
692C2×C4#6704312yes—
693C2×C4C24×D1111yescharacteristic
694C8—22no—
695C8—22no—
696C8—22no—
697C8C2×#434114yes—
698C22—22no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—22no—
704C22—44no—
705C22—44no—
706C22—442no—
707C22—442no—
708C22—442no—
709C22—884no—
710C22#1062308612yes—
711C22#1062327912yes—
712C22#1062328212yes—
713C22C23×D4411yescharacteristic
714C4—22no—
715C4—22no—
716C4—22no—
717C4—22no—
718C4—442no—
719C4—442no—
720C4—442no—
721C4—442no—
722C4—442no—
723C4—442no—
724C4—442no—
725C4#1062308612yes—
726C4C22×#434111yescharacteristic
727C4C2×#6704311yescharacteristic
728C2—42no—
729C2—42no—
730C2—882no—
731C2#1308116314yesdirect product factor
732C2C2×#1062308611yescharacteristic
733C2C2×#1062327911yescharacteristic
734C2C2×#1062328211yescharacteristic
subgroupG/H
centerC23C22×D44
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#435C2
socleC23×C11C22×D4
prime radicalC2×#10623096C2
hypercenterC2×#435D11
hypocenterC11C2×#3350
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
1. C2×#10623073C2semidirect
3. #13081163C2direct (N × H)
4. C2×#10622315C2semidirect
5. C2×#10622336C2semidirect
6. C2×#10622350C2semidirect
7. C2×#10622350C2semidirect
8. C2×#10622334C2semidirect
9. C2×#10622442C2semidirect
10. C2×#10622455C2semidirect
11. C2×#10622747C2semidirect
12. C2×#10622727C2semidirect
13. C2×#10622323C2semidirect
14. C2×#10622734C2semidirect
15. C2×#10622719C2semidirect
16. C2×C11×#435C2semidirect
34. #10623073C22semidirect
45. C11×#435C22semidirect
50. #10622747C22semidirect
51. #10622734C22semidirect
52. #10622727C22semidirect
56. #10622719C22semidirect
69. #10622455C22semidirect
70. #10622442C22semidirect
71. #10622350C22semidirect
72. #10622350C22semidirect
73. #10622336C22semidirect
74. #10622334C22semidirect
75. #10622323C22semidirect
76. #10622315C22semidirect
283. C2×#435D11semidirect
385. #435C2×D11semidirect
541. C2×C11#3350semidirect
636. C11C2×#3350semidirect
731. C2#13081163direct (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×#106230962
#130811632
C2×#106223152
C2×#106223362
C2×#106223502
C2×#106223342
C2×#106224422
C2×#106224552
C2×#106227472
C2×#106227272
C2×#106223232
C2×#106227342
C2×#106227192
C2×C11×#4352
C2×#335011