Finite Group Databasebeta

← C2×#13126128 #16735150

Subgroups — C2×#13126128 #16735150

Order 3328.

1742 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719224C211yesmaximal, characteristic, complemented
2#13126128C2116yesmaximal, direct product factor
3C2×#11718741C211yesmaximal, characteristic, complemented
4C2×#11718740C211yesmaximal, characteristic, complemented
5C2×#11718716C211yesmaximal, characteristic, complemented
6C2×#11718717C211yesmaximal, characteristic, complemented
7C2×#11718695C211yesmaximal, characteristic
8C2×#11718706C211yesmaximal, characteristic, complemented
9C2×#11718696C211yesmaximal, characteristic
10C2×#11718704C211yesmaximal, characteristic, complemented
11C2×#11718683C211yesmaximal, characteristic, complemented
12C2×#11718681C211yesmaximal, characteristic, complemented
13C2×#11718670C211yesmaximal, characteristic, complemented
14C2×#11718669C211yesmaximal, characteristic, complemented
15C2×#11718661C211yesmaximal, characteristic, complemented
16C2×C13×#542C211yesmaximal, characteristic
17C13×#542—24no—
18C13×#542C2218yes—
19C2×C13×C4⋊Q8C2211yescharacteristic
20C2×C13×#126—21no—
21C2×C13×#124—21no—
22C2×C13×#124C2211yescharacteristic
23C2×C13×#123—21no—
24C2×C13×C22⋊Q8—21no—
25C2×C13×C22⋊Q8C2211yescharacteristic
26C2×C13×#121C2211yescharacteristic
27C2×C4×Q8×C13C2211yescharacteristic
28C2×C4×D4×C13C2211yescharacteristic
29C2×C13×#117C2211yescharacteristic
30C2×#88180C2211yescharacteristic
31C22×C4⋊Dic13C2211yescharacteristic
32#11719224—24no—
33#11719224C2218yescomplemented
34C2×#88144—21no—
35C2×#88142—21no—
36C2×#88132—21no—
37C2×#88132—21no—
38C2×#88124C2211yescharacteristic
39C2×#88124C2211yescharacteristic
40C2×#88123C2211yescharacteristic
41C2×#88123C2211yescharacteristic
42C2×#88075C2211yescharacteristic
43C2×#88075C2211yescharacteristic
44C2×#88075C2211yescharacteristic
45C2×#88075C2211yescharacteristic
46C2×#88072C2211yescharacteristic
47C2×#88072C2211yescharacteristic
48C2×#88072C2211yescharacteristic
49C2×#88072C2211yescharacteristic
50C2×C22⋊#1055C2211yescharacteristic
51C2×C22⋊#1055C2211yescharacteristic
52#11718741C2218yescomplemented
53#11718740C2218yescomplemented
54#11718717C2218yescomplemented
55#11718716C2218yescomplemented
56#11718706C2218yescomplemented
57#11718704C2218yescomplemented
58#11718696C2218yes—
59#11718695C2218yes—
60#11718683C2218yescomplemented
61#11718681C2218yescomplemented
62#11718670C2218yescomplemented
63#11718669C2218yescomplemented
64#11718661C2218yescomplemented
65C2×#88048C2211yescharacteristic
66C2×#88048C2211yescharacteristic
67C2×#88048C2211yescharacteristic
68C2×#88048C2211yescharacteristic
69C2×#88048C2211yescharacteristic
70C2×#88048C2211yescharacteristic
71C2×#88047C2211yescharacteristic
72C2×#88047C2211yescharacteristic
73C2×C4⋊#1055C2211yescharacteristic
74C2×C4⋊#1055C2211yescharacteristic
75C2×#88043C2211yescharacteristic
76C2×C4×#1055C2211yescharacteristic
77C22×Q8×C13—21no—
78C22×Q8×C13C2311yescharacteristic
79C22×D4×C13—21no—
80C22×D4×C13C2311yescharacteristic
81C23×C4×C13—21no—
82C23×C4×C13C2311yescharacteristic
83C23×Dic13—21no—
84C22×Dic26—21no—
85C22×Dic26—21no—
86C13×C4⋊Q8—22no—
87C13×C4⋊Q8C2314yes—
88C13×#126—28no—
89C13×#124—28no—
90C13×#124—22no—
91C13×#124C2314yes—
92C13×#123—28no—
93C13×C22⋊Q8—22no—
94C13×C22⋊Q8—28no—
95C13×C22⋊Q8C2314yes—
96C13×#121—22no—
97C13×#121C2314yes—
98C4×Q8×C13—22no—
99C4×Q8×C13C2314yes—
100C4×D4×C13—22no—
101C4×D4×C13C2314yes—
102C13×#117D414yes—
103C13×#117C2314yes—
104C2×C13×C4⋊C4—21no—
105C2×C13×C4⋊C4—21no—
106C2×C13×C4⋊C4—21no—
107C2×C13×C4⋊C4D411yescharacteristic
108C2×C13×C4⋊C4D411yescharacteristic
109C2×C13×C4⋊C4C2311yescharacteristic
110C2×C13×C4⋊C4C2311yescharacteristic
111C2×C13×C22⋊C4—21no—
112C2×C13×C22⋊C4—21no—
113C2×C13×C22⋊C4—21no—
114C2×C13×C22⋊C4—21no—
115C2×C13×C22⋊C4—21no—
116C2×C13×C22⋊C4D411yescharacteristic
117C2×C13×C22⋊C4D411yescharacteristic
118C2×C42×C13—21no—
119C2×C42×C13C2311yescharacteristic
120C2×C42×C13C2311yescharacteristic
121C2×C22⋊Dic13—21no—
122#88180—22no—
123#88180C2314yes—
124C2×C4⋊Dic13—21no—
125C2×C4⋊Dic13—21no—
126C2×C4⋊Dic13—21no—
127C2×C4⋊Dic13—22no—
128C2×C4⋊Dic13C2311yescharacteristic
129C2×C4⋊Dic13C2311yescharacteristic
130C2×C4⋊Dic13C2311yescharacteristic
131C2×C4⋊Dic13C2311yescharacteristic
132C2×C4⋊Dic13C2314yes—
133C2×#6101—21no—
134C2×#6101—21no—
135C2×#6101—21no—
136C2×#6101—21no—
137C2×C4×Dic13—21no—
138C22×#1055C2311yescharacteristic
139C22×#1055C2311yescharacteristic
140C22×#1055C2311yescharacteristic
141C22×#1055C2311yescharacteristic
142#88144—28no—
143#88142—28no—
144#88132—28no—
145#88132—28no—
146#88124—22no—
147#88124—22no—
148#88124C2314yes—
149#88124C2314yes—
150#88123—22no—
151#88123—22no—
152#88123C2314yes—
153#88123C2314yes—
154#88075C2314yes—
155#88075C2314yes—
156#88075C2314yes—
157#88075C2314yes—
158#88072C2314yes—
159#88072C2314yes—
160#88072C2314yes—
161#88072C2314yes—
162C22⋊#1055C2314yes—
163C22⋊#1055C2314yes—
164#88048C2314yes—
165#88048C2314yes—
166#88048C2314yes—
167#88048C2314yes—
168#88048C2314yes—
169#88048C2314yes—
170#88047C2314yes—
171#88047C2314yes—
172C4⋊#1055C2314yes—
173C4⋊#1055C2314yes—
174#88043C2314yes—
175C4×#1055C2314yes—
176C2×#3244—131nomaximal, Sylow
177C24×C13—21no—
178C24×C13C2×D411yescharacteristic
179C2×Q8×C13—21no—
180C2×Q8×C13—24no—
181C2×Q8×C13—22no—
182C2×Q8×C13—22no—
183C2×Q8×C13—82no—
184C2×Q8×C13C2412yes—
185C2×D4×C13—24no—
186C2×D4×C13—21no—
187C2×D4×C13—22no—
188C2×D4×C13—22no—
189C2×D4×C13—82no—
190C2×D4×C13C2412yes—
191C22×C4×C13—22no—
192C22×C4×C13—22no—
193C22×C4×C13—21no—
194C22×C4×C13—21no—
195C22×C4×C13—21no—
196C22×C4×C13—24no—
197C22×C4×C13—82no—
198C22×C4×C13C2×D411yescharacteristic
199C22×C4×C13C2×D411yescharacteristic
200C22×C4×C13C2×D411yescharacteristic
201C22×C4×C13C2×D411yescharacteristic
202C22×C4×C13C2×D411yescharacteristic
203C22×C4×C13C2×D412yes—
204C22×C4×C13C2412yes—
205C22×C4×C13C2411yescharacteristic
206C22×Dic13—21no—
207C22×Dic13—21no—
208C22×Dic13—21no—
209C22×Dic13—21no—
210C22×Dic13—24no—
211C22×Dic13—82no—
212C2×Dic26—24no—
213C2×Dic26—24no—
214C2×Dic26—82no—
215C2×Dic26—82no—
216C13×C4⋊C4—24no—
217C13×C4⋊C4—24no—
218C13×C4⋊C4—24no—
219C13×C4⋊C4—21no—
220C13×C4⋊C4—21no—
221C13×C4⋊C4C2×D414yes—
222C13×C4⋊C4C2×D414yes—
223C13×C4⋊C4C2412yes—
224C13×C4⋊C4C2412yes—
225C13×C22⋊C4—24no—
226C13×C22⋊C4—24no—
227C13×C22⋊C4—24no—
228C13×C22⋊C4—24no—
229C13×C22⋊C4—24no—
230C13×C22⋊C4C2×D414yes—
231C13×C22⋊C4C2×D414yes—
232C42×C13—24no—
233C42×C13C2×D412yes—
234C42×C13C2×D412yes—
235C42×C13C2412yes—
236C42×C13C2412yes—
237C22⋊Dic13—24no—
238C4⋊Dic13—21no—
239C4⋊Dic13—21no—
240C4⋊Dic13—21no—
241C4⋊Dic13—24no—
242C4⋊Dic13—24no—
243C4⋊Dic13—21no—
244C4⋊Dic13—24no—
245C4⋊Dic13C2412yes—
246C4⋊Dic13C2412yes—
247C4⋊Dic13C2412yes—
248C4⋊Dic13C2412yes—
249#6101—24no—
250#6101—24no—
251#6101—24no—
252#6101—24no—
253C4×Dic13—24no—
254C2×#1055—22no—
255C2×#1055—22no—
256C2×#1055—22no—
257C2×#1055—22no—
258C2×#1055C2412yes—
259C2×#1055C2412yes—
260C2×#1055C2412yes—
261C2×#1055C2412yes—
262C2×#544—131no—
263C2×#542D1311yescharacteristic
264#3244—1316no—
265C2×#501—131no—
266C2×#498—131no—
267C2×#489—131no—
268C2×#488—131no—
269C2×#481—131no—
270C2×#485—131no—
271C2×#482—131no—
272C2×#483—131no—
273C2×#479—131no—
274C2×#475—131no—
275C2×#478—131no—
276C2×#476—131no—
277C2×#433—131no—
278C23×C13—22no—
279C23×C13—22no—
280C23×C13—22no—
281C23×C13—22no—
282C23×C13—42no—
283C23×C13—42no—
284C23×C13—42no—
285C23×C13C22×D412yes—
286C23×C13C22×D411yescharacteristic
287Q8×C13—22no—
288Q8×C13—22no—
289Q8×C13—42no—
290Q8×C13—84no—
291D4×C13—22no—
292D4×C13—22no—
293D4×C13—42no—
294D4×C13—84no—
295C2×C4×C13—22no—
296C2×C4×C13—22no—
297C2×C4×C13—22no—
298C2×C4×C13—22no—
299C2×C4×C13—22no—
300C2×C4×C13—24no—
301C2×C4×C13—22no—
302C2×C4×C13—22no—
303C2×C4×C13—22no—
304C2×C4×C13—22no—
305C2×C4×C13—22no—
306C2×C4×C13—42no—
307C2×C4×C13—42no—
308C2×C4×C13—42no—
309C2×C4×C13—84no—
310C2×C4×C13C22×D412yes—
311C2×C4×C13C22×D412yes—
312C2×C4×C13C22×D412yes—
313C2×C4×C13C22×D412yes—
314C2×C4×C13C22×D412yes—
315C2×C4×C13C22×D411yescharacteristic
316C2×C4×C132−1+412yes—
317C2×C4×C132−1+412yes—
318C2×C4×C13C2511yescharacteristic
319C2×Dic13—22no—
320C2×Dic13—22no—
321C2×Dic13—22no—
322C2×Dic13—22no—
323C2×Dic13—42no—
324C2×Dic13—42no—
325C2×Dic13—42no—
326C2×Dic13—42no—
327C2×Dic13—84no—
328Dic26—84no—
329Dic26—84no—
330#1055—22no—
331#1055—22no—
332#1055—22no—
333#1055—22no—
334#544—138no—
335#544—264no—
336#542—24no—
337#542C2×D1318yes—
338C2×C4⋊Q8—131no—
339C2×C4⋊Q8—131no—
340C2×C4⋊Q8—261no—
341C2×C4⋊Q8C2×D1311yescharacteristic
342C2×#126—21no—
343C2×#125—131no—
344C2×#125—131no—
345C2×#125—261no—
346C2×#124—21no—
347C2×#124C2×D1311yescharacteristic
348C2×#123—21no—
349C2×C22⋊Q8—21no—
350C2×C22⋊Q8—261no—
351C2×C22⋊Q8—261no—
352C2×C22⋊Q8C2×D1311yescharacteristic
353C2×#121C2×D1311yescharacteristic
354C2×C4×Q8C2×D1311yescharacteristic
355C2×C4×D4C2×D1311yescharacteristic
356C2×#117—131no—
357C2×#117C2×D1311yescharacteristic
358C22×C4⋊C4—131no—
359#501—138no—
360#498—138no—
361#489—138no—
362#488—138no—
363#485—138no—
364#483—138no—
365#482—138no—
366#481—138no—
367#479—138no—
368#478—138no—
369#476—138no—
370#475—138no—
371#433—138no—
372C2×#107—131no—
373C2×#107—131no—
374C2×#106—131no—
375C2×#106—131no—
376C2×#106—131no—
377C2×#106—131no—
378C2×#106—131no—
379C2×#106—131no—
380C2×C4⋊C8—131no—
381C2×C4⋊C8—131no—
382C2×#103—131no—
383C2×#103—131no—
384C2×#103—131no—
385C2×#103—131no—
386C2×#102—131no—
387C2×#102—131no—
388C2×#102—131no—
389C2×#102—131no—
390C2×C22⋊C8—131no—
391C2×C22⋊C8—131no—
392C2×#97—131no—
393C2×C4×C8—131no—
394C22×C13—22no—
395C22×C13—22no—
396C22×C13—22no—
397C22×C13—44no—
398C22×C13—42no—
399C22×C13—42no—
400C22×C13—42no—
401C22×C13—84no—
402C22×C13#53612yes—
403C22×C13#57712yes—
404C22×C13#57712yes—
405C22×C13C23×D411yescharacteristic
406C4×C13—22no—
407C4×C13—22no—
408C4×C13—22no—
409C4×C13—22no—
410C4×C13—22no—
411C4×C13—42no—
412C4×C13—42no—
413C4×C13—42no—
414C4×C13#53612yes—
415C4×C13C2×2−1+411yescharacteristic
416C4×C13C2×2−1+411yescharacteristic
417Dic13—42no—
418Dic13—42no—
419Dic13—42no—
420Dic13—42no—
421C22×Q8—21no—
422C22×Q8—261no—
423C22×Q8—261no—
424C22×Q8C22×D1311yescharacteristic
425C22×D4—21no—
426C22×D4C22×D1311yescharacteristic
427C23×C4—21no—
428C23×C4—261no—
429C23×C4C22×D1311yescharacteristic
430C22×C8—131no—
431C22×C8—131no—
432C22×C8—131no—
433C22×C8—131no—
434C4⋊Q8—22no—
435C4⋊Q8—134no—
436C4⋊Q8—134no—
437C4⋊Q8—268no—
438C4⋊Q8—262no—
439C4⋊Q8—262no—
440C4⋊Q8C22×D1314yes—
441#126—28no—
442#125—134no—
443#125—134no—
444#125—268no—
445#125—262no—
446#125—262no—
447#124—28no—
448#124—22no—
449#124C22×D1314yes—
450#123—28no—
451C22⋊Q8—22no—
452C22⋊Q8—28no—
453C22⋊Q8—268no—
454C22⋊Q8—268no—
455C22⋊Q8C22×D1314yes—
456#121—22no—
457#121C22×D1314yes—
458C4×Q8—22no—
459C4×Q8C22×D1314yes—
460C4×D4—22no—
461C4×D4C22×D1314yes—
462#117—134no—
463#117—262no—
464#117C22⋊D1314yes—
465#117C22×D1314yes—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—131no—
470C2×C4⋊C4—131no—
471C2×C4⋊C4—134no—
472C2×C4⋊C4—131no—
473C2×C4⋊C4—131no—
474C2×C4⋊C4—261no—
475C2×C4⋊C4—262no—
476C2×C4⋊C4—261no—
477C2×C4⋊C4—261no—
478C2×C4⋊C4—261no—
479C2×C4⋊C4—261no—
480C2×C4⋊C4—261no—
481C2×C4⋊C4—261no—
482C2×C4⋊C4C22⋊D1311yescharacteristic
483C2×C4⋊C4C22⋊D1311yescharacteristic
484C2×C4⋊C4C22×D1311yescharacteristic
485C2×C4⋊C4C22×D1311yescharacteristic
486C2×C22⋊C4—21no—
487C2×C22⋊C4—21no—
488C2×C22⋊C4—21no—
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—261no—
492C2×C22⋊C4C22⋊D1311yescharacteristic
493C2×C22⋊C4C22⋊D1311yescharacteristic
494C2×C42—21no—
495C2×C42—261no—
496C2×C42C22×D1311yescharacteristic
497C2×C42C22×D1311yescharacteristic
498#107—134no—
499#107—134no—
500#106—134no—
501#106—134no—
502#106—134no—
503#106—134no—
504#106—134no—
505#106—134no—
506C4⋊C8—134no—
507C4⋊C8—134no—
508#103—134no—
509#103—134no—
510#103—134no—
511#103—134no—
512#102—134no—
513#102—134no—
514#102—134no—
515#102—134no—
516C22⋊C8—134no—
517C22⋊C8—134no—
518#97—134no—
519C4×C8—134no—
520C2×C13—42no—
521C2×C13—82no—
522C2×C13#324414yescomplemented
523C2×C13C2×#53611yescharacteristic
524C2×C13C2×#57711yescharacteristic
525C2×C13C2×#57711yescharacteristic
526C24—21no—
527C24C2×C22⋊D1311yescharacteristic
528C2×Q8—21no—
529C2×Q8—24no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8—82no—
533C2×Q8—264no—
534C2×Q8—264no—
535C2×Q8—1042no—
536C2×Q8—1042no—
537C2×Q8C23×D1312yes—
538C2×D4—24no—
539C2×D4—22no—
540C2×D4—22no—
541C2×D4—21no—
542C2×D4—82no—
543C2×D4C23×D1312yes—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—24no—
550C22×C4—82no—
551C22×C4—261no—
552C22×C4—261no—
553C22×C4—261no—
554C22×C4—261no—
555C22×C4—264no—
556C22×C4—1042no—
557C22×C4C2×C22⋊D1312yes—
558C22×C4C2×C22⋊D1311yescharacteristic
559C22×C4C2×C22⋊D1311yescharacteristic
560C22×C4C2×C22⋊D1311yescharacteristic
561C22×C4C2×C22⋊D1311yescharacteristic
562C22×C4C2×C22⋊D1311yescharacteristic
563C22×C4C23×D1312yes—
564C22×C4C23×D1311yescharacteristic
565C2×C8—132no—
566C2×C8—132no—
567C2×C8—132no—
568C2×C8—132no—
569C2×C8—262no—
570C2×C8—262no—
571C2×C8—262no—
572C2×C8—262no—
573C4⋊C4—24no—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—132no—
579C4⋊C4—132no—
580C4⋊C4—132no—
581C4⋊C4—132no—
582C4⋊C4—264no—
583C4⋊C4—261no—
584C4⋊C4—261no—
585C4⋊C4—261no—
586C4⋊C4—261no—
587C4⋊C4—264no—
588C4⋊C4—264no—
589C4⋊C4—264no—
590C4⋊C4—264no—
591C4⋊C4—264no—
592C4⋊C4—264no—
593C4⋊C4C2×C22⋊D1314yes—
594C4⋊C4C2×C22⋊D1314yes—
595C4⋊C4C23×D1312yes—
596C4⋊C4C23×D1312yes—
597C22⋊C4—24no—
598C22⋊C4—24no—
599C22⋊C4—24no—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—264no—
603C22⋊C4C2×C22⋊D1314yes—
604C22⋊C4C2×C22⋊D1314yes—
605C42—24no—
606C42—264no—
607C42C2×C22⋊D1312yes—
608C42C2×C22⋊D1312yes—
609C42C23×D1312yes—
610C42C23×D1312yes—
611C13C2×#324411yescharacteristic, complemented, Sylow
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23C22×C22⋊D1312yes—
620C23C22×C22⋊D1311yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624Q8—84no—
625Q8—1044no—
626Q8—1044no—
627D4—22no—
628D4—22no—
629D4—42no—
630D4—84no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—84no—
646C2×C4—262no—
647C2×C4—262no—
648C2×C4—262no—
649C2×C4—262no—
650C2×C4—522no—
651C2×C4—522no—
652C2×C4—522no—
653C2×C4—522no—
654C2×C4—1044no—
655C2×C4#8825712yes—
656C2×C4#8825712yes—
657C2×C4C22×C22⋊D1312yes—
658C2×C4C22×C22⋊D1312yes—
659C2×C4C22×C22⋊D1312yes—
660C2×C4C22×C22⋊D1312yes—
661C2×C4C22×C22⋊D1312yes—
662C2×C4C22×C22⋊D1311yescharacteristic
663C2×C4C24×D1311yescharacteristic
664C8—262no—
665C8—262no—
666C8—262no—
667C8—262no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—84no—
676C22#1171953012yes—
677C22#1171954112yes—
678C22#1171954212yes—
679C22C23×C22⋊D1311yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—522no—
689C4—522no—
690C4—522no—
691C4—522no—
692C4#1171953012yes—
693C4C2×#8825711yescharacteristic
694C4C2×#8825711yescharacteristic
695C2—42no—
696C2—82no—
697C2#1312612814yesdirect product factor
698C2C2×#1171953011yescharacteristic
699C2C2×#1171954211yescharacteristic
700C2C2×#1171954111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#542C2
socleC23×C13C22×D4
prime radicalC2×C13×#121C22
hypercenterC2×#542D13
hypocenterC13C2×#3244
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. C2×#11719224C2semidirect
2. #13126128C2direct (N × H)
3. C2×#11718741C2semidirect
4. C2×#11718740C2semidirect
5. C2×#11718716C2semidirect
6. C2×#11718717C2semidirect
8. C2×#11718706C2semidirect
10. C2×#11718704C2semidirect
11. C2×#11718683C2semidirect
12. C2×#11718681C2semidirect
13. C2×#11718670C2semidirect
14. C2×#11718669C2semidirect
15. C2×#11718661C2semidirect
33. #11719224C22semidirect
52. #11718741C22semidirect
53. #11718740C22semidirect
54. #11718717C22semidirect
55. #11718716C22semidirect
56. #11718706C22semidirect
57. #11718704C22semidirect
60. #11718683C22semidirect
61. #11718681C22semidirect
62. #11718670C22semidirect
63. #11718669C22semidirect
64. #11718661C22semidirect
522. C2×C13#3244semidirect
611. C13C2×#3244semidirect
697. C2#13126128direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192242
#131261282
C2×#117187412
C2×#117187402
C2×#117187162
C2×#117187172
C2×#117186952
C2×#117187062
C2×#117186962
C2×#117187042
C2×#117186832
C2×#117186812
C2×#117186702
C2×#117186692
C2×#117186612
C2×C13×#5422
C2×#324413