Finite Group Databasebeta

← C2×#13081152 #15632406

Subgroups — C2×#13081152 #15632406

Order 2816.

1834 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623172C211yesmaximal, characteristic
2C2×#10623170C211yesmaximal, characteristic
3#13081152C2116yesmaximal, direct product factor
4C2×#10622489C211yesmaximal, characteristic, complemented
5C2×#10622422C211yesmaximal, characteristic, complemented
6C2×#10622427C211yesmaximal, characteristic, complemented
7C2×#10622658C211yesmaximal, characteristic, complemented
8C2×#10622658C211yesmaximal, characteristic, complemented
9C2×#10622409C211yesmaximal, characteristic, complemented
10C2×#10622407C211yesmaximal, characteristic, complemented
11C2×#10622802C211yesmaximal, characteristic, complemented
12C2×#10622797C211yesmaximal, characteristic, complemented
13C2×#10622724C211yesmaximal, characteristic
14C2×#10622494C211yesmaximal, characteristic, complemented
15C2×#10622719C211yesmaximal, characteristic, complemented
16C2×C11×#467C211yesmaximal, characteristic, complemented
17C22×C11×Q16C2211yescharacteristic
18C23×C8×C11C2211yescharacteristic
19C2×C11×C22⋊Q8C2211yescharacteristic
20C2×C11×C22⋊Q8C2211yescharacteristic
21C2×#66999C2211yescharacteristic
22C2×#66999C2211yescharacteristic
23C2×Q8×Dic11C2211yescharacteristic
24C2×Q8×Dic11C2211yescharacteristic
25C2×C4×C22⋊D11C2211yescharacteristic
26C2×#66979C2211yescharacteristic
27C2×#66979C2211yescharacteristic
28C22×#4313C2211yescharacteristic
29#10623172—24no—
30#10623172C2218yes—
31#10623170—24no—
32#10623170C2218yes—
33C2×#66951—21no—
34C2×#66945—21no—
35C2×#66945C2211yescharacteristic
36C2×C4⋊C4×D11C2211yescharacteristic
37C2×#66943C2211yescharacteristic
38C2×#66942—21no—
39C2×#66941C2211yescharacteristic
40C2×#66940—21no—
41C2×#66938—21no—
42C2×#66936—21no—
43C2×#66932—21no—
44C2×#66932—21no—
45C11×#467C2218yescomplemented
46C2×C11×#107C2211yescharacteristic
47C2×C11×#103C2211yescharacteristic
48C2×C11×#103C2211yescharacteristic
49C2×#66899C2211yescharacteristic
50C2×#66899C2211yescharacteristic
51C2×#66899C2211yescharacteristic
52C2×#66899C2211yescharacteristic
53C2×C22⋊(C11⋊C8)C2211yescharacteristic
54#10622802C2218yescomplemented
55#10622797C2218yescomplemented
56#10622724C2218yes—
57C2×(C2×D11)⋊C8C2211yescharacteristic
58#10622719C2218yescomplemented
59C2×#66882C2211yescharacteristic
60C2×#66882C2211yescharacteristic
61C2×#66881C2211yescharacteristic
62C2×#66881C2211yescharacteristic
63C2×#66879C2211yescharacteristic
64C2×Dic11⋊C8C2211yescharacteristic
65#10622658C2218yescomplemented
66#10622658C2218yescomplemented
67C2×#66872C2211yescharacteristic
68C2×#66872C2211yescharacteristic
69C2×#66871C2211yescharacteristic
70C2×#66871C2211yescharacteristic
71#10622494C2218yescomplemented
72#10622489C2218yescomplemented
73#10622427C2218yescomplemented
74#10622422C2218yescomplemented
75#10622409C2218yescomplemented
76#10622407C2218yescomplemented
77C22×Q8×C11C2311yescharacteristic
78C22×Q8×C11C2311yescharacteristic
79C23×C4×C11C2311yescharacteristic
80C22×C22⋊D11D411yescharacteristic
81C22×C4×D11—21no—
82C22×C4×D11C2311yescharacteristic
83C22×Dic22—21no—
84C2×C11×Q16—24no—
85C2×C11×Q16C2314yes—
86C22×C8×C11—24no—
87C22×C8×C11C2311yescharacteristic
88C22×C8×C11C2314yes—
89C22×C8×C11C2311yescharacteristic
90C11×C22⋊Q8—22no—
91C11×C22⋊Q8—22no—
92C11×C22⋊Q8C2314yes—
93C11×C22⋊Q8C2314yes—
94C2×C11×C4⋊C4—21no—
95C2×C11×C4⋊C4—21no—
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C22⋊C4—21no—
99C2×C11×C22⋊C4—21no—
100C2×C22⋊Dic11—21no—
101C2×C22⋊Dic11—21no—
102C2×C22⋊Dic11D411yescharacteristic
103#66999—22no—
104#66999—22no—
105#66999C2314yes—
106#66999C2314yes—
107Q8×Dic11—22no—
108Q8×Dic11—22no—
109Q8×Dic11C2314yes—
110Q8×Dic11C2314yes—
111C4×C22⋊D11D414yes—
112C4×C22⋊D11C2314yes—
113C2×(C2×D11)⋊C4—21no—
114C2×(C2×D11)⋊C4—21no—
115C2×(C2×D11)⋊C4—21no—
116C2×(C2×D11)⋊C4D411yescharacteristic
117#66979—22no—
118#66979—22no—
119#66979C2314yes—
120#66979C2314yes—
121C2×C4⋊Dic11—21no—
122C2×C4⋊Dic11—21no—
123C2×C4⋊Dic11—21no—
124C2×C4⋊Dic11C2311yescharacteristic
125C2×C4⋊Dic11C2311yescharacteristic
126C2×C4⋊Dic11C2311yescharacteristic
127C2×C4⋊Dic11C2311yescharacteristic
128C2×Dic11⋊C4—21no—
129C2×Dic11⋊C4—21no—
130C2×Dic11⋊C4—21no—
131C2×Dic11⋊C4—21no—
132C2×Dic11⋊C4—21no—
133C2×Dic11⋊C4D411yescharacteristic
134C2×C4×Dic11—21no—
135C2×C4×Dic11—21no—
136C2×C4×Dic11—21no—
137C2×C4×Dic11—21no—
138C2×C4×Dic11—21no—
139C2×C4×Dic11C2311yescharacteristic
140C22×C11⋊C8C2311yescharacteristic
141C22×C11⋊C8C2311yescharacteristic
142C2×#4313—24no—
143C2×#4313C2314yes—
144#66951—28no—
145#66945—22no—
146#66945—28no—
147#66945C2314yes—
148C4⋊C4×D11—22no—
149C4⋊C4×D11C2314yes—
150#66943—22no—
151#66943C2314yes—
152#66942—28no—
153#66941—22no—
154#66941C2314yes—
155#66940—28no—
156#66938—28no—
157#66936—28no—
158#66932—28no—
159#66932—28no—
160C11×#107C2314yes—
161C11×#103C2314yes—
162C11×#103C2314yes—
163#66899C2314yes—
164#66899C2314yes—
165#66899C2314yes—
166#66899C2314yes—
167C22⋊(C11⋊C8)C2314yes—
168(C2×D11)⋊C8C2314yes—
169#66882C2314yes—
170#66882C2314yes—
171#66881C2314yes—
172#66881C2314yes—
173#66879C2314yes—
174Dic11⋊C8C2314yes—
175#66872C2314yes—
176#66872C2314yes—
177#66871C2314yes—
178#66871C2314yes—
179C2×#3349—111nomaximal, Sylow
180C24×C11C2×D411yescharacteristic
181C23×D11C2×D411yescharacteristic
182C2×Q8×C11—21no—
183C2×Q8×C11—21no—
184C2×Q8×C11—22no—
185C2×Q8×C11—22no—
186C2×Q8×C11—22no—
187C2×Q8×C11—22no—
188C2×Q8×C11C2412yes—
189C2×Q8×C11C2412yes—
190C22×C4×C11—22no—
191C22×C4×C11—22no—
192C22×C4×C11—21no—
193C22×C4×C11—21no—
194C22×C4×C11—21no—
195C22×C4×C11—21no—
196C22×C4×C11C2×D411yescharacteristic
197C22×C4×C11C2×D412yes—
198C22×C4×C11C2412yes—
199C22×C4×C11C2411yescharacteristic
200C2×C22⋊D11—42no—
201C2×C22⋊D11C2×D414yes—
202C22×Dic11—21no—
203C22×Dic11—21no—
204C22×Dic11—21no—
205C22×Dic11—21no—
206C22×Dic11C2×D411yescharacteristic
207C22×Dic11C2×D411yescharacteristic
208C22×Dic11C2×D411yescharacteristic
209C2×C4×D11—24no—
210C2×C4×D11—22no—
211C2×C4×D11—22no—
212C2×C4×D11—44no—
213C2×C4×D11C2×D412yes—
214C2×C4×D11C2412yes—
215C2×Dic22—24no—
216C2×Dic22—44no—
217C11×Q16—28no—
218C2×C8×C11—28no—
219C2×C8×C11—22no—
220C2×C8×C11#4114yes—
221C2×C8×C11C2412yes—
222C2×C8×C11C2412yes—
223C11×C4⋊C4—24no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—24no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4C2412yes—
228C11×C4⋊C4C2412yes—
229C11×C22⋊C4—24no—
230C11×C22⋊C4—24no—
231C22⋊Dic11—24no—
232C22⋊Dic11—24no—
233C22⋊Dic11C2×D414yes—
234(C2×D11)⋊C4—24no—
235(C2×D11)⋊C4—24no—
236(C2×D11)⋊C4—24no—
237(C2×D11)⋊C4C2×D414yes—
238C4⋊Dic11—24no—
239C4⋊Dic11—24no—
240C4⋊Dic11—24no—
241C4⋊Dic11—21no—
242C4⋊Dic11—21no—
243C4⋊Dic11—21no—
244C4⋊Dic11—21no—
245C4⋊Dic11C2412yes—
246C4⋊Dic11C2412yes—
247C4⋊Dic11C2412yes—
248C4⋊Dic11C2412yes—
249Dic11⋊C4—24no—
250Dic11⋊C4—24no—
251Dic11⋊C4—24no—
252Dic11⋊C4—24no—
253Dic11⋊C4—24no—
254Dic11⋊C4C2×D414yes—
255C4×Dic11—24no—
256C4×Dic11—24no—
257C4×Dic11—24no—
258C4×Dic11—24no—
259C4×Dic11—24no—
260C4×Dic11C2×D412yes—
261C4×Dic11C2412yes—
262C2×C11⋊C8—22no—
263C2×C11⋊C8—22no—
264C2×C11⋊C8C2412yes—
265C2×C11⋊C8C2412yes—
266#4313—28no—
267C2×#556—111no—
268C2×#552—111no—
269#3349—1116no—
270C2×#501—111no—
271C2×#484—111no—
272C2×#485—111no—
273C2×#485—111no—
274C2×#485—111no—
275C2×#479—111no—
276C2×#477—111no—
277C2×#470—111no—
278C2×#467D1111yescharacteristic, complemented
279C2×#441—111no—
280C2×#435—111no—
281C2×#428—111no—
282C2×#427—111no—
283C23×C11—22no—
284C23×C11—22no—
285C23×C11—22no—
286C23×C11C22×D412yes—
287C23×C11C22×D411yescharacteristic
288C22×D11—22no—
289C22×D11—22no—
290C22×D11—22no—
291C22×D11C22×D412yes—
292Q8×C11—22no—
293Q8×C11—22no—
294Q8×C11—22no—
295Q8×C11—22no—
296Q8×C11—42no—
297Q8×C11—42no—
298C2×C4×C11—22no—
299C2×C4×C11—24no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—22no—
303C2×C4×C11—22no—
304C2×C4×C11—22no—
305C2×C4×C11—22no—
306C2×C4×C11—42no—
307C2×C4×C11—42no—
308C2×C4×C11—42no—
309C2×C4×C11—42no—
310C2×C4×C11C22×D412yes—
311C2×C4×C11C22×D411yescharacteristic
312C2×C4×C11C2×#4112yes—
313C2×C4×C112−1+412yes—
314C2×C4×C11C2511yescharacteristic
315C22⋊D11—44no—
316C2×Dic11—22no—
317C2×Dic11—22no—
318C2×Dic11—22no—
319C2×Dic11—22no—
320C2×Dic11—22no—
321C2×Dic11—22no—
322C2×Dic11—22no—
323C2×Dic11—42no—
324C2×Dic11—42no—
325C2×Dic11—42no—
326C2×Dic11—42no—
327C2×Dic11C22×D412yes—
328C2×Dic11C22×D412yes—
329C2×Dic11C22×D412yes—
330C4×D11—24no—
331C4×D11—22no—
332C4×D11—22no—
333C4×D11—48no—
334Dic22—48no—
335C8×C11—22no—
336C8×C11C2×#4114yes—
337C11⋊C8—22no—
338C11⋊C8—22no—
339C22×Q16C2×D1111yescharacteristic
340C22×M16—111no—
341C23×C8C2×D1111yescharacteristic
342#556—118no—
343#556—224no—
344#552—118no—
345#552—224no—
346C2×C4⋊Q8—111no—
347C2×#126—221no—
348C2×#126—221no—
349C2×#126—221no—
350C2×#125—111no—
351C2×#125—221no—
352C2×#124—221no—
353C2×#123—221no—
354C2×C22⋊Q8—111no—
355C2×C22⋊Q8—111no—
356C2×C22⋊Q8C2×D1111yescharacteristic
357C2×C22⋊Q8C2×D1111yescharacteristic
358C2×C4×Q8—111no—
359C2×C4×Q8—111no—
360C2×C4×Q8—221no—
361C2×C4×D4—111no—
362C2×#117—111no—
363C2×#117—111no—
364C2×#117—111no—
365C2×#117—221no—
366C22×C4⋊C4—111no—
367#501—118no—
368#485—118no—
369#485—118no—
370#485—118no—
371#484—118no—
372#479—118no—
373#477—118no—
374#470—118no—
375#467C2×D1118yescomplemented
376#441—118no—
377#435—118no—
378#428—118no—
379#427—118no—
380C2×#107—111no—
381C2×#107—111no—
382C2×#107—111no—
383C2×#107—111no—
384C2×#107C2×D1111yescharacteristic
385C2×#106—111no—
386C2×#106—111no—
387C2×#106—111no—
388C2×#106—111no—
389C2×C4⋊C8—111no—
390C2×#103—111no—
391C2×#103—111no—
392C2×#103—111no—
393C2×#103—111no—
394C2×#103C2×D1111yescharacteristic
395C2×#103C2×D1111yescharacteristic
396C2×C22⋊C8—111no—
397C2×C22⋊C8—111no—
398C2×#97—111no—
399C22×C11—22no—
400C22×C11—22no—
401C22×C11—22no—
402C22×C11—44no—
403C22×C11#54712yes—
404C22×C11#57512yes—
405C22×C11#57812yes—
406C22×C11C23×D411yescharacteristic
407C2×D11—22no—
408C2×D11—22no—
409C2×D11—22no—
410C2×D11—44no—
411C4×C11—22no—
412C4×C11—42no—
413C4×C11—42no—
414C4×C11—42no—
415C4×C11—42no—
416C4×C11#54712yes—
417C4×C11C22×#4111yescharacteristic
418C4×C11C2×2−1+411yescharacteristic
419Dic11—22no—
420Dic11—22no—
421Dic11—22no—
422Dic11—42no—
423Dic11—42no—
424Dic11—42no—
425Dic11—42no—
426C22×Q8—221no—
427C22×Q8C22×D1111yescharacteristic
428C22×Q8C22×D1111yescharacteristic
429C22×D4—111no—
430C23×C4—111no—
431C23×C4—221no—
432C23×C4C22×D1111yescharacteristic
433C2×Q16—24no—
434C2×Q16C22×D1114yes—
435C2×M16—114no—
436C2×M16—224no—
437C22×C8—24no—
438C22×C8—111no—
439C22×C8—111no—
440C22×C8C22×D1111yescharacteristic
441C22×C8C22×D1114yes—
442C22×C8C22×D1111yescharacteristic
443C4⋊Q8—114no—
444C4⋊Q8—222no—
445#126—228no—
446#126—228no—
447#126—228no—
448#125—114no—
449#125—222no—
450#125—228no—
451#124—228no—
452#123—228no—
453C22⋊Q8—22no—
454C22⋊Q8—22no—
455C22⋊Q8—114no—
456C22⋊Q8—114no—
457C22⋊Q8—222no—
458C22⋊Q8—222no—
459C22⋊Q8C22×D1114yes—
460C22⋊Q8C22×D1114yes—
461C4×Q8—114no—
462C4×Q8—114no—
463C4×Q8—222no—
464C4×Q8—222no—
465C4×Q8—228no—
466C4×D4—114no—
467C4×D4—114no—
468#117—114no—
469#117—114no—
470#117—114no—
471#117—228no—
472#117—222no—
473#117—222no—
474#117—222no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—21no—
477C2×C4⋊C4—111no—
478C2×C4⋊C4—111no—
479C2×C4⋊C4—111no—
480C2×C4⋊C4—111no—
481C2×C4⋊C4—111no—
482C2×C4⋊C4—114no—
483C2×C4⋊C4—222no—
484C2×C4⋊C4—221no—
485C2×C4⋊C4—221no—
486C2×C4⋊C4—221no—
487C2×C4⋊C4—221no—
488C2×C4⋊C4—221no—
489C2×C4⋊C4—221no—
490C2×C4⋊C4—221no—
491C2×C4⋊C4—221no—
492C2×C4⋊C4C22×D1111yescharacteristic
493C2×C4⋊C4C22×D1111yescharacteristic
494C2×C22⋊C4—21no—
495C2×C22⋊C4—21no—
496C2×C22⋊C4—111no—
497C2×C22⋊C4—111no—
498C2×C22⋊C4—221no—
499C2×C22⋊C4—221no—
500C2×C22⋊C4—221no—
501C2×C22⋊C4—221no—
502C2×C22⋊C4—221no—
503C2×C42—111no—
504C2×C42—221no—
505C2×C42—221no—
506C2×C42—221no—
507C2×C42—221no—
508C2×C42—221no—
509#107—114no—
510#107—114no—
511#107—114no—
512#107—114no—
513#107C22×D1114yes—
514#106—114no—
515#106—114no—
516#106—114no—
517#106—114no—
518C4⋊C8—114no—
519#103—114no—
520#103—114no—
521#103—114no—
522#103—114no—
523#103C22×D1114yes—
524#103C22×D1114yes—
525C22⋊C8—114no—
526C22⋊C8—114no—
527#97—114no—
528C2×C11—42no—
529C2×C11#334914yescomplemented
530C2×C11C2×#54711yescharacteristic
531C2×C11C2×#57511yescharacteristic
532C2×C11C2×#57811yescharacteristic
533D11—42no—
534C24—111no—
535C24D4×D1111yescharacteristic
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—22no—
539C2×Q8—22no—
540C2×Q8—22no—
541C2×Q8—22no—
542C2×Q8—224no—
543C2×Q8—444no—
544C2×Q8C23×D1112yes—
545C2×Q8C23×D1112yes—
546C2×D4—114no—
547C2×D4—442no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—111no—
555C22×C4—111no—
556C22×C4—111no—
557C22×C4—112no—
558C22×C4—112no—
559C22×C4—224no—
560C22×C4—222no—
561C22×C4—222no—
562C22×C4—221no—
563C22×C4—221no—
564C22×C4—221no—
565C22×C4—221no—
566C22×C4—444no—
567C22×C4D4×D1112yes—
568C22×C4D4×D1111yescharacteristic
569C22×C4C23×D1112yes—
570C22×C4C23×D1111yescharacteristic
571Q16—28no—
572M16—228no—
573C2×C8—22no—
574C2×C8—28no—
575C2×C8—112no—
576C2×C8—112no—
577C2×C8—222no—
578C2×C8—222no—
579C2×C8#434114yes—
580C2×C8C23×D1112yes—
581C2×C8C23×D1112yes—
582C4⋊C4—24no—
583C4⋊C4—24no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—114no—
587C4⋊C4—112no—
588C4⋊C4—112no—
589C4⋊C4—112no—
590C4⋊C4—112no—
591C4⋊C4—224no—
592C4⋊C4—224no—
593C4⋊C4—224no—
594C4⋊C4—224no—
595C4⋊C4—224no—
596C4⋊C4—224no—
597C4⋊C4—224no—
598C4⋊C4—224no—
599C4⋊C4—221no—
600C4⋊C4—221no—
601C4⋊C4—221no—
602C4⋊C4—221no—
603C4⋊C4C23×D1112yes—
604C4⋊C4C23×D1112yes—
605C22⋊C4—24no—
606C22⋊C4—24no—
607C22⋊C4—114no—
608C22⋊C4—114no—
609C22⋊C4—224no—
610C22⋊C4—224no—
611C22⋊C4—224no—
612C22⋊C4—224no—
613C22⋊C4—224no—
614C42—112no—
615C42—112no—
616C42—224no—
617C42—224no—
618C42—224no—
619C42—224no—
620C42—224no—
621C11C2×#334911yescharacteristic, complemented, Sylow
622C23—22no—
623C23—22no—
624C23—22no—
625C23—112no—
626C23—222no—
627C23—222no—
628C23—222no—
629C23C2×D4×D1112yes—
630C23C2×D4×D1111yescharacteristic
631Q8—22no—
632Q8—22no—
633Q8—22no—
634Q8—22no—
635Q8—42no—
636Q8—42no—
637Q8—448no—
638D4—444no—
639C2×C4—22no—
640C2×C4—24no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—112no—
652C2×C4—112no—
653C2×C4—112no—
654C2×C4—222no—
655C2×C4—222no—
656C2×C4—222no—
657C2×C4—224no—
658C2×C4—222no—
659C2×C4—222no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—222no—
663C2×C4—222no—
664C2×C4—448no—
665C2×C4—442no—
666C2×C4—442no—
667C2×C4—442no—
668C2×C4—442no—
669C2×C4C2×D4×D1112yes—
670C2×C4C2×D4×D1111yescharacteristic
671C2×C4C2×#434112yes—
672C2×C4#6704312yes—
673C2×C4C24×D1111yescharacteristic
674C8—22no—
675C8—222no—
676C8—222no—
677C8C2×#434114yes—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—44no—
682C22—222no—
683C22—222no—
684C22—222no—
685C22—444no—
686C22#1062314212yes—
687C22#1062329712yes—
688C22#1062329912yes—
689C22C22×D4×D1111yescharacteristic
690C4—22no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—222no—
696C4—222no—
697C4—222no—
698C4—442no—
699C4—442no—
700C4—442no—
701C4—442no—
702C4#1062314212yes—
703C4C22×#434111yescharacteristic
704C4C2×#6704311yescharacteristic
705C2—42no—
706C2—442no—
707C2#1308115214yesdirect product factor
708C2C2×#1062314211yescharacteristic
709C2C2×#1062329911yescharacteristic
710C2C2×#1062329711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#467C2
socleC23×C11C22×D4
prime radicalC22×C22⋊D11D4
hypercenterC2×#467D11
hypocenterC11C2×#3349
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#467

Complements

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

NH ≅ G/Ntype
3. #13081152C2direct (N × H)
4. C2×#10622489C2semidirect
5. C2×#10622422C2semidirect
6. C2×#10622427C2semidirect
7. C2×#10622658C2semidirect
8. C2×#10622658C2semidirect
9. C2×#10622409C2semidirect
10. C2×#10622407C2semidirect
11. C2×#10622802C2semidirect
12. C2×#10622797C2semidirect
14. C2×#10622494C2semidirect
15. C2×#10622719C2semidirect
16. C2×C11×#467C2semidirect
45. C11×#467C22semidirect
54. #10622802C22semidirect
55. #10622797C22semidirect
58. #10622719C22semidirect
65. #10622658C22semidirect
66. #10622658C22semidirect
71. #10622494C22semidirect
72. #10622489C22semidirect
73. #10622427C22semidirect
74. #10622422C22semidirect
75. #10622409C22semidirect
76. #10622407C22semidirect
278. C2×#467D11semidirect
375. #467C2×D11semidirect
529. C2×C11#3349semidirect
621. C11C2×#3349semidirect
707. C2#13081152direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106231722
C2×#106231702
#130811522
C2×#106224892
C2×#106224222
C2×#106224272
C2×#106226582
C2×#106224092
C2×#106224072
C2×#106228022
C2×#106227972
C2×#106227242
C2×#106224942
C2×#106227192
C2×C11×#4672
C2×#334911