Finite Group Databasebeta

← C2×#13078912 #15622125

Subgroups — C2×#13078912 #15622125

Order 2816.

1994 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623156C211yesmaximal, characteristic
2C2×#10623047C211yesmaximal, characteristic
3#13078912C2116yesmaximal, direct product factor
4C2×#10622609C211yesmaximal, characteristic
5C2×#10622470C211yesmaximal, characteristic, complemented
6C2×#10622490C211yesmaximal, characteristic, complemented
7C2×#10622406C211yesmaximal, characteristic, complemented
8C2×#10622406C211yesmaximal, characteristic, complemented
9C2×#10622352C211yesmaximal, characteristic
10C2×#10622663C211yesmaximal, characteristic
11C2×#10622466C211yesmaximal, characteristic, complemented
12C2×#10622402C211yesmaximal, characteristic, complemented
13C2×#10622486C211yesmaximal, characteristic, complemented
14C2×#10622403C211yesmaximal, characteristic, complemented
15C2×#10622333C211yesmaximal, characteristic
16C2×C11×#485C211yesmaximal, characteristic
17C23×Dic22C2211yescharacteristic
18C2×C11×C22⋊Q8C2211yescharacteristic
19C2×C11×#117C2211yescharacteristic
20C2×Q8×Dic11C2211yescharacteristic
21C2×#66997C2211yescharacteristic
22C22×#4326C2211yescharacteristic
23C22×#4326C2211yescharacteristic
24C2×#66979C2211yescharacteristic
25C2×#66977C2211yescharacteristic
26C22×Dic44C2211yescharacteristic
27C22×Dic44C2211yescharacteristic
28#10623156—24no—
29#10623156C2218yes—
30#10623047—24no—
31#10623047C2218yes—
32C2×#66943—21no—
33C2×#66943C2211yescharacteristic
34C2×#66942—21no—
35C2×#66940C2211yescharacteristic
36C2×#66940C2211yescharacteristic
37C2×#66940C2211yescharacteristic
38C2×#66940C2211yescharacteristic
39C2×#66940C2211yescharacteristic
40C2×#66932—21no—
41C2×#66932—21no—
42C2×#66930—21no—
43C2×#66930—21no—
44C2×C4×Dic22—21no—
45C2×C4×Dic22—21no—
46C11×#485C2218yes—
47C2×C11×#107C2211yescharacteristic
48C2×C11×#106C2211yescharacteristic
49C2×C11×#103C2211yescharacteristic
50C2×C11×#103C2211yescharacteristic
51C2×C11×C22⋊C8C2211yescharacteristic
52C2×C22⋊(C11⋊C8)C2211yescharacteristic
53C2×#66880C2211yescharacteristic
54C2×#66880C2211yescharacteristic
55C2×#66879C2211yescharacteristic
56C2×Dic11⋊C8C2211yescharacteristic
57C2×Dic11⋊C8C2211yescharacteristic
58C2×C8×Dic11C2211yescharacteristic
59#10622663C2218yes—
60#10622609C2218yes—
61C2×#66874C2211yescharacteristic
62C2×#66874C2211yescharacteristic
63C2×#66874C2211yescharacteristic
64C2×#66874C2211yescharacteristic
65C2×#66872C2211yescharacteristic
66C2×#66871C2211yescharacteristic
67#10622490C2218yescomplemented
68#10622486C2218yescomplemented
69#10622470C2218yescomplemented
70#10622466C2218yescomplemented
71#10622406C2218yescomplemented
72#10622406C2218yescomplemented
73#10622403C2218yescomplemented
74#10622402C2218yescomplemented
75#10622352C2218yes—
76#10622333C2218yes—
77C22×Q8×C11C2311yescharacteristic
78C23×C4×C11C2311yescharacteristic
79C23×Dic11—21no—
80C22×Dic22—21no—
81C22×Dic22—22no—
82C22×Dic22—24no—
83C22×Dic22—24no—
84C22×Dic22C2311yescharacteristic
85C22×Dic22C2314yes—
86C22×Dic22C2311yescharacteristic
87C22×Dic22C2311yescharacteristic
88C22×C8×C11C2311yescharacteristic
89C22×C8×C11C2311yescharacteristic
90C11×C22⋊Q8—22no—
91C11×C22⋊Q8C2314yes—
92C11×#117—22no—
93C11×#117C2314yes—
94C2×C11×C4⋊C4—21no—
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C22⋊C4—21no—
99C2×C11×C22⋊C4—21no—
100C2×C42×C11—21no—
101C2×C22⋊Dic11—21no—
102C2×C22⋊Dic11D411yescharacteristic
103C2×C22⋊Dic11D411yescharacteristic
104Q8×Dic11—22no—
105Q8×Dic11C2314yes—
106#66997—22no—
107#66997C2314yes—
108C2×#4326—24no—
109C2×#4326—24no—
110C2×#4326C2314yes—
111C2×#4326C2314yes—
112#66979D414yes—
113#66979C2314yes—
114C2×C4⋊Dic11—21no—
115C2×C4⋊Dic11—21no—
116C2×C4⋊Dic11D411yescharacteristic
117C2×C4⋊Dic11D411yescharacteristic
118C2×C4⋊Dic11C2311yescharacteristic
119#66977—22no—
120#66977C2314yes—
121C2×Dic11⋊C4—21no—
122C2×Dic11⋊C4—21no—
123C2×Dic11⋊C4—21no—
124C2×Dic11⋊C4—21no—
125C2×Dic11⋊C4—21no—
126C2×Dic11⋊C4—21no—
127C2×Dic11⋊C4—21no—
128C2×Dic11⋊C4—21no—
129C2×Dic11⋊C4—21no—
130C2×C4×Dic11—21no—
131C2×C4×Dic11—21no—
132C2×C4×Dic11—21no—
133C2×C4×Dic11—21no—
134C2×C4×Dic11—21no—
135C2×C4×Dic11—21no—
136C2×C4×Dic11C2311yescharacteristic
137C2×C4×Dic11C2311yescharacteristic
138C22×C11⋊C8C2311yescharacteristic
139C22×C11⋊C8C2311yescharacteristic
140C2×Dic44—24no—
141C2×Dic44—24no—
142C2×Dic44C2314yes—
143C2×Dic44C2314yes—
144#66943—28no—
145#66943—22no—
146#66943C2314yes—
147#66942—28no—
148#66940—22no—
149#66940—22no—
150#66940—22no—
151#66940—22no—
152#66940—22no—
153#66940C2314yes—
154#66940C2314yes—
155#66940C2314yes—
156#66940C2314yes—
157#66940C2314yes—
158#66932—28no—
159#66932—28no—
160#66930—28no—
161#66930—28no—
162C4×Dic22—28no—
163C4×Dic22—28no—
164C11×#107C2314yes—
165C11×#106C2314yes—
166C11×#103C2314yes—
167C11×#103C2314yes—
168C11×C22⋊C8C2314yes—
169C22⋊(C11⋊C8)C2314yes—
170#66880C2314yes—
171#66880C2314yes—
172#66879C2314yes—
173Dic11⋊C8C2314yes—
174Dic11⋊C8C2314yes—
175C8×Dic11C2314yes—
176#66874C2314yes—
177#66874C2314yes—
178#66874C2314yes—
179#66874C2314yes—
180#66872C2314yes—
181#66871C2314yes—
182C2×#3127—111nomaximal, Sylow
183C24×C11C2×D411yescharacteristic
184C2×Q8×C11—21no—
185C2×Q8×C11—22no—
186C2×Q8×C11—22no—
187C2×Q8×C11C2412yes—
188C22×C4×C11—22no—
189C22×C4×C11—22no—
190C22×C4×C11—21no—
191C22×C4×C11—21no—
192C22×C4×C11—21no—
193C22×C4×C11—21no—
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2×D412yes—
196C22×C4×C11C2412yes—
197C22×C4×C11C2411yescharacteristic
198C22×Dic11—28no—
199C22×Dic11—24no—
200C22×Dic11—21no—
201C22×Dic11—21no—
202C22×Dic11—21no—
203C22×Dic11—21no—
204C22×Dic11C2×D411yescharacteristic
205C22×Dic11C2×D411yescharacteristic
206C22×Dic11C2×D411yescharacteristic
207C22×Dic11C2×D411yescharacteristic
208C2×Dic22—28no—
209C2×Dic22—216no—
210C2×Dic22—28no—
211C2×Dic22—28no—
212C2×Dic22—24no—
213C2×Dic22—21no—
214C2×Dic22—21no—
215C2×Dic22—21no—
216C2×Dic22—22no—
217C2×Dic22—22no—
218C2×Dic22—22no—
219C2×Dic22—22no—
220C2×Dic22#4114yes—
221C2×Dic22#4114yes—
222C2×Dic22C2412yes—
223C2×Dic22C2412yes—
224C2×Dic22C2412yes—
225C2×C8×C11—22no—
226C2×C8×C11—22no—
227C2×C8×C11C2412yes—
228C2×C8×C11C2412yes—
229C11×C4⋊C4—21no—
230C11×C4⋊C4—21no—
231C11×C4⋊C4—21no—
232C11×C4⋊C4—24no—
233C11×C4⋊C4C2412yes—
234C11×C4⋊C4C2412yes—
235C11×C4⋊C4C2412yes—
236C11×C22⋊C4—24no—
237C11×C22⋊C4—24no—
238C42×C11—24no—
239C22⋊Dic11—24no—
240C22⋊Dic11C2×D414yes—
241C22⋊Dic11C2×D414yes—
242#4326—28no—
243#4326—28no—
244C4⋊Dic11—24no—
245C4⋊Dic11—24no—
246C4⋊Dic11—21no—
247C4⋊Dic11C2×D414yes—
248C4⋊Dic11C2×D414yes—
249C4⋊Dic11C2412yes—
250Dic11⋊C4—24no—
251Dic11⋊C4—24no—
252Dic11⋊C4—24no—
253Dic11⋊C4—24no—
254Dic11⋊C4—24no—
255Dic11⋊C4—24no—
256Dic11⋊C4—24no—
257Dic11⋊C4—24no—
258Dic11⋊C4—24no—
259C4×Dic11—24no—
260C4×Dic11—24no—
261C4×Dic11—24no—
262C4×Dic11—24no—
263C4×Dic11—24no—
264C4×Dic11—24no—
265C4×Dic11C2×D412yes—
266C4×Dic11C2×D412yes—
267C4×Dic11C2412yes—
268C4×Dic11C2412yes—
269C2×C11⋊C8—22no—
270C2×C11⋊C8—22no—
271C2×C11⋊C8C2412yes—
272C2×C11⋊C8C2412yes—
273Dic44—28no—
274Dic44—28no—
275C2×#541—111no—
276C2×#519—111no—
277#3127—1116no—
278C2×#485—111no—
279C2×#485D1111yescharacteristic
280C2×#479—111no—
281C2×#479—111no—
282C2×#462—111no—
283C2×#462—111no—
284C2×#451—111no—
285C2×#451—111no—
286C2×#441—111no—
287C2×#441—111no—
288C2×C4×Q16—111no—
289C2×C4×Q16—111no—
290C2×#433—111no—
291C23×C11—22no—
292C23×C11—22no—
293C23×C11—22no—
294C23×C11C22×D412yes—
295C23×C11C22×D411yescharacteristic
296Q8×C11—22no—
297Q8×C11—22no—
298Q8×C11—42no—
299C2×C4×C11—22no—
300C2×C4×C11—24no—
301C2×C4×C11—22no—
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×C11—42no—
311C2×C4×C11C22×D412yes—
312C2×C4×C11C22×D411yescharacteristic
313C2×C4×C11C2×#4112yes—
314C2×C4×C11C2×#4112yes—
315C2×C4×C11C2511yescharacteristic
316C2×Dic11—216no—
317C2×Dic11—24no—
318C2×Dic11—24no—
319C2×Dic11—22no—
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×Dic11C22×D412yes—
330C2×Dic11C22×D412yes—
331C2×Dic11C22×D412yes—
332C2×Dic11C22×D412yes—
333Dic22—216no—
334Dic22—24no—
335Dic22—24no—
336Dic22—22no—
337Dic22—22no—
338Dic22—22no—
339Dic22—22no—
340Dic22—42no—
341Dic22C2×#4114yes—
342Dic22C2×#4114yes—
343C8×C11—22no—
344C8×C11—22no—
345C11⋊C8—22no—
346C11⋊C8—22no—
347C23×Q8—111no—
348C22×Q16—111no—
349C22×Q16—111no—
350C22×Q16—111no—
351C22×Q16—111no—
352#541—118no—
353#541—224no—
354C2×C4⋊Q8—111no—
355C2×#126—221no—
356C2×#126—221no—
357C2×#125—111no—
358C2×#125—221no—
359C2×#125—221no—
360C2×C22⋊Q8—111no—
361C2×C22⋊Q8C2×D1111yescharacteristic
362#519—118no—
363#519—224no—
364C2×C4×Q8—111no—
365C2×C4×Q8—111no—
366C2×C4×Q8—111no—
367C2×C4×Q8—111no—
368C2×C4×Q8—111no—
369C2×C4×Q8—111no—
370C2×C4×Q8—221no—
371C2×C4×Q8—221no—
372C2×#117—111no—
373C2×#117—221no—
374C2×#117—221no—
375C2×#117C2×D1111yescharacteristic
376#485—118no—
377#485C2×D1118yes—
378#479—118no—
379#479—118no—
380#462—118no—
381#462—118no—
382#451—118no—
383#451—118no—
384#441—118no—
385#441—118no—
386C4×Q16—118no—
387C4×Q16—118no—
388#433—118no—
389C2×#107—111no—
390C2×#107C2×D1111yescharacteristic
391C2×#106—111no—
392C2×#106C2×D1111yescharacteristic
393C2×C4⋊C8—111no—
394C2×C4⋊C8—111no—
395C2×#103—111no—
396C2×#103—111no—
397C2×#103—111no—
398C2×#103—111no—
399C2×#103—111no—
400C2×#103—111no—
401C2×#103C2×D1111yescharacteristic
402C2×#103C2×D1111yescharacteristic
403C2×C22⋊C8—111no—
404C2×C22⋊C8C2×D1111yescharacteristic
405C2×#97—111no—
406C2×C4×C8—111no—
407C22×C11—22no—
408C22×C11—22no—
409C22×C11—22no—
410C22×C11—44no—
411C22×C11#52512yes—
412C22×C11#57812yes—
413C22×C11#57812yes—
414C22×C11C23×D411yescharacteristic
415C4×C11—22no—
416C4×C11—42no—
417C4×C11—42no—
418C4×C11—42no—
419C4×C11—42no—
420C4×C11#52512yes—
421C4×C11C22×#4111yescharacteristic
422C4×C11C22×#4111yescharacteristic
423Dic11—24no—
424Dic11—24no—
425Dic11—22no—
426Dic11—22no—
427Dic11—22no—
428Dic11—22no—
429Dic11—42no—
430Dic11—42no—
431C22×Q8—111no—
432C22×Q8—111no—
433C22×Q8—111no—
434C22×Q8—114no—
435C22×Q8—224no—
436C22×Q8—224no—
437C22×Q8—221no—
438C22×Q8—222no—
439C22×Q8C22×D1111yescharacteristic
440C23×C4—221no—
441C23×C4C22×D1111yescharacteristic
442C2×Q16—114no—
443C2×Q16—114no—
444C2×Q16—114no—
445C2×Q16—114no—
446C2×Q16—224no—
447C2×Q16—224no—
448C2×Q16—224no—
449C2×Q16—224no—
450C22×C8—111no—
451C22×C8—111no—
452C22×C8C22×D1111yescharacteristic
453C22×C8C22×D1111yescharacteristic
454C4⋊Q8—114no—
455C4⋊Q8—222no—
456#126—228no—
457#126—228no—
458#125—114no—
459#125—222no—
460#125—228no—
461#125—228no—
462C22⋊Q8—22no—
463C22⋊Q8—114no—
464C22⋊Q8—222no—
465C22⋊Q8C22×D1114yes—
466C4×Q8—114no—
467C4×Q8—114no—
468C4×Q8—114no—
469C4×Q8—114no—
470C4×Q8—114no—
471C4×Q8—114no—
472C4×Q8—228no—
473C4×Q8—228no—
474C4×Q8—222no—
475C4×Q8—222no—
476C4×Q8—222no—
477C4×Q8—222no—
478C4×Q8—222no—
479C4×Q8—222no—
480#117—22no—
481#117—114no—
482#117—114no—
483#117—228no—
484#117—228no—
485#117C22×D1114yes—
486C2×C4⋊C4—21no—
487C2×C4⋊C4—111no—
488C2×C4⋊C4—111no—
489C2×C4⋊C4—111no—
490C2×C4⋊C4—221no—
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⋊C4—221no—
501C2×C4⋊C4C22×D1111yescharacteristic
502C2×C4⋊C4C22×D1111yescharacteristic
503C2×C4⋊C4C22×D1111yescharacteristic
504C2×C22⋊C4—21no—
505C2×C22⋊C4—21no—
506C2×C22⋊C4—111no—
507C2×C22⋊C4—111no—
508C2×C22⋊C4—221no—
509C2×C42—21no—
510C2×C42—111no—
511C2×C42—111no—
512C2×C42—221no—
513C2×C42—221no—
514C2×C42—221no—
515C2×C42—221no—
516C2×C42—221no—
517C2×C42—221no—
518#107—114no—
519#107C22×D1114yes—
520#106—114no—
521#106C22×D1114yes—
522C4⋊C8—114no—
523C4⋊C8—114no—
524#103—114no—
525#103—114no—
526#103—114no—
527#103—114no—
528#103—114no—
529#103—114no—
530#103C22×D1114yes—
531#103C22×D1114yes—
532C22⋊C8—114no—
533C22⋊C8C22×D1114yes—
534#97—114no—
535C4×C8—114no—
536C2×C11—42no—
537C2×C11#312714yescomplemented
538C2×C11C2×#52511yescharacteristic
539C2×C11C2×#57811yescharacteristic
540C2×C11C2×#57811yescharacteristic
541C24D4×D1111yescharacteristic
542C2×Q8—21no—
543C2×Q8—22no—
544C2×Q8—22no—
545C2×Q8—114no—
546C2×Q8—114no—
547C2×Q8—112no—
548C2×Q8—112no—
549C2×Q8—112no—
550C2×Q8—228no—
551C2×Q8—228no—
552C2×Q8—228no—
553C2×Q8—2216no—
554C2×Q8—224no—
555C2×Q8—221no—
556C2×Q8—221no—
557C2×Q8—221no—
558C2×Q8—222no—
559C2×Q8—222no—
560C2×Q8—222no—
561C2×Q8—222no—
562C2×Q8C23×D1112yes—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—111no—
570C22×C4—111no—
571C22×C4—111no—
572C22×C4—111no—
573C22×C4—228no—
574C22×C4—224no—
575C22×C4—221no—
576C22×C4—221no—
577C22×C4—221no—
578C22×C4—221no—
579C22×C4D4×D1112yes—
580C22×C4D4×D1111yescharacteristic
581C22×C4C23×D1112yes—
582C22×C4C23×D1111yescharacteristic
583Q16—228no—
584Q16—228no—
585Q16—228no—
586Q16—228no—
587C2×C8—22no—
588C2×C8—22no—
589C2×C8—112no—
590C2×C8—112no—
591C2×C8—222no—
592C2×C8—222no—
593C2×C8C23×D1112yes—
594C2×C8C23×D1112yes—
595C4⋊C4—24no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—114no—
600C4⋊C4—114no—
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—224no—
610C4⋊C4—224no—
611C4⋊C4—224no—
612C4⋊C4—221no—
613C4⋊C4—224no—
614C4⋊C4C23×D1112yes—
615C4⋊C4C23×D1112yes—
616C4⋊C4C23×D1112yes—
617C22⋊C4—24no—
618C22⋊C4—24no—
619C22⋊C4—114no—
620C22⋊C4—114no—
621C22⋊C4—224no—
622C42—24no—
623C42—112no—
624C42—112no—
625C42—112no—
626C42—112no—
627C42—224no—
628C42—224no—
629C42—224no—
630C42—224no—
631C42—224no—
632C42—224no—
633C11C2×#312711yescharacteristic, complemented, Sylow
634C23—22no—
635C23—22no—
636C23—22no—
637C23C2×D4×D1112yes—
638C23C2×D4×D1111yescharacteristic
639Q8—22no—
640Q8—22no—
641Q8—42no—
642Q8—114no—
643Q8—114no—
644Q8—2216no—
645Q8—224no—
646Q8—224no—
647Q8—222no—
648Q8—222no—
649Q8—222no—
650Q8—222no—
651Q8—442no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—112no—
665C2×C4—112no—
666C2×C4—112no—
667C2×C4—112no—
668C2×C4—2216no—
669C2×C4—222no—
670C2×C4—222no—
671C2×C4—222no—
672C2×C4—222no—
673C2×C4—224no—
674C2×C4—224no—
675C2×C4—222no—
676C2×C4—222no—
677C2×C4—222no—
678C2×C4—222no—
679C2×C4—442no—
680C2×C4—442no—
681C2×C4C2×D4×D1112yes—
682C2×C4C2×D4×D1111yescharacteristic
683C2×C4#41×D1112yes—
684C2×C4#41×D1112yes—
685C2×C4C24×D1111yescharacteristic
686C8—22no—
687C8—22no—
688C8—222no—
689C8—222no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—44no—
694C22#1062318712yes—
695C22#1062330212yes—
696C22#1062331012yes—
697C22C22×D4×D1111yescharacteristic
698C4—22no—
699C4—42no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—222no—
704C4—222no—
705C4—222no—
706C4—222no—
707C4—224no—
708C4—224no—
709C4—442no—
710C4—442no—
711C4#1062318712yes—
712C4C2×#41×D1111yescharacteristic
713C4C2×#41×D1111yescharacteristic
714C2—42no—
715C2#1307891214yesdirect product factor
716C2C2×#1062318711yescharacteristic
717C2C2×#1062330211yescharacteristic
718C2C2×#1062331011yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#485C2
socleC23×C11C22×D4
prime radicalC24×C11C2×D4
hypercenterC2×#485D11
hypocenterC11C2×#3127
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#485

Complements

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

NH ≅ G/Ntype
3. #13078912C2direct (N × H)
5. C2×#10622470C2semidirect
6. C2×#10622490C2semidirect
7. C2×#10622406C2semidirect
8. C2×#10622406C2semidirect
11. C2×#10622466C2semidirect
12. C2×#10622402C2semidirect
13. C2×#10622486C2semidirect
14. C2×#10622403C2semidirect
67. #10622490C22semidirect
68. #10622486C22semidirect
69. #10622470C22semidirect
70. #10622466C22semidirect
71. #10622406C22semidirect
72. #10622406C22semidirect
73. #10622403C22semidirect
74. #10622402C22semidirect
537. C2×C11#3127semidirect
633. C11C2×#3127semidirect
715. C2#13078912direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106231562
C2×#106230472
#130789122
C2×#106226092
C2×#106224702
C2×#106224902
C2×#106224062
C2×#106223522
C2×#106226632
C2×#106224662
C2×#106224022
C2×#106224862
C2×#106224032
C2×#106223332
C2×C11×#4852
C2×#312711