Finite Group Databasebeta

← C2×#13123928 #16727872

Subgroups — C2×#13123928 #16727872

Order 3328.

1750 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719222C211yesmaximal, characteristic
2#13123928C2116yesmaximal, direct product factor
3C2×#11718340C211yesmaximal, characteristic, complemented
4C2×#11718489C211yesmaximal, characteristic, complemented
5C2×#11718489C211yesmaximal, characteristic, complemented
6C2×#11718362C211yesmaximal, characteristic, complemented
7C2×#11718362C211yesmaximal, characteristic, complemented
8C2×#11718492C211yesmaximal, characteristic, complemented
9C2×C8×Dic26C211yesmaximal, characteristic, complemented
10C2×#11718491C211yesmaximal, characteristic, complemented
11C2×#11718661C211yesmaximal, characteristic
12C2×#11718381C211yesmaximal, characteristic
13C2×#11718381C211yesmaximal, characteristic
14C2×#11718380C211yesmaximal, characteristic
15C2×#11718379C211yesmaximal, characteristic
16C2×C13×#433C211yesmaximal, characteristic
17C2×C13×#117C2211yescharacteristic
18C2×#88180C2211yescharacteristic
19C22×C4×Dic13C2211yescharacteristic
20#11719222C418yes—
21#11719222C2218yes—
22C2×#88144C411yescharacteristic
23C2×#88144C411yescharacteristic
24C2×#88142C411yescharacteristic
25C2×#88142C411yescharacteristic
26C2×#88132C411yescharacteristic
27C2×#88132C411yescharacteristic
28C2×#88132C411yescharacteristic
29C2×#88132C411yescharacteristic
30C2×C4×Dic26C2211yescharacteristic
31C2×C4×Dic26C2211yescharacteristic
32C2×C4×Dic26C2211yescharacteristic
33C2×C4×Dic26C2211yescharacteristic
34C13×#433C2218yes—
35C2×C13×C4⋊C8C2211yescharacteristic
36C2×C13×C4⋊C8C2211yescharacteristic
37C2×C13×C22⋊C8C2211yescharacteristic
38C2×C13×C22⋊C8C2211yescharacteristic
39C2×C13×#97C2211yescharacteristic
40C2×C4×C8×C13C2211yescharacteristic
41C2×C22⋊#1055C2211yescharacteristic
42C2×C22⋊#1055C2211yescharacteristic
43C2×#88055C2211yescharacteristic
44C2×#88055C2211yescharacteristic
45C2×#88055C2211yescharacteristic
46C2×#88055C2211yescharacteristic
47C2×#88054C2211yescharacteristic
48C2×#88054C2211yescharacteristic
49C2×#88054C2211yescharacteristic
50C2×#88054C2211yescharacteristic
51C2×#88054C2211yescharacteristic
52C2×#88054C2211yescharacteristic
53C2×#88054C2211yescharacteristic
54C2×#88054C2211yescharacteristic
55C2×C8×Dic13C2211yescharacteristic
56C2×C8×Dic13C2211yescharacteristic
57C2×C8×Dic13C2211yescharacteristic
58C2×C8×Dic13C2211yescharacteristic
59#11718661C2218yes—
60C2×C4⋊#1055C2211yescharacteristic
61C2×C4⋊#1055C2211yescharacteristic
62C2×#88043C2211yescharacteristic
63C2×C4×#1055C2211yescharacteristic
64#11718492C2218yescomplemented
65#11718491C2218yescomplemented
66#11718489C2218yescomplemented
67#11718489C2218yescomplemented
68#11718381C2218yes—
69#11718381C2218yes—
70#11718380C2218yes—
71#11718379C2218yes—
72#11718362C2218yescomplemented
73#11718362C2218yescomplemented
74#11718340C2218yescomplemented
75C8×Dic26C2218yescomplemented
76C23×C4×C13C2311yescharacteristic
77C23×Dic13C2×C411yescharacteristic
78C23×Dic13C2×C411yescharacteristic
79C22×Dic26C2×C411yescharacteristic
80C22×Dic26C2×C411yescharacteristic
81C22×Dic26C2×C411yescharacteristic
82C22×Dic26C2×C411yescharacteristic
83C22×C8×C13C2311yescharacteristic
84C22×C8×C13C2311yescharacteristic
85C22×C8×C13C2311yescharacteristic
86C22×C8×C13C2311yescharacteristic
87C13×#117C2×C414yes—
88C13×#117C2314yes—
89C2×C13×C4⋊C4C2×C411yescharacteristic
90C2×C13×C4⋊C4C2×C411yescharacteristic
91C2×C13×C22⋊C4C2×C411yescharacteristic
92C2×C13×C22⋊C4C2×C411yescharacteristic
93C2×C42×C13C2311yescharacteristic
94C2×C42×C13C2311yescharacteristic
95C2×C22⋊Dic13C2×C411yescharacteristic
96C2×C22⋊Dic13C2×C411yescharacteristic
97#88180C2×C414yes—
98#88180C2314yes—
99C2×C4⋊Dic13C2×C411yescharacteristic
100C2×C4⋊Dic13C2×C411yescharacteristic
101C2×C4⋊Dic13C2×C411yescharacteristic
102C2×C4⋊Dic13C2×C411yescharacteristic
103C2×C4⋊Dic13C2×C411yescharacteristic
104C2×C4⋊Dic13C2×C411yescharacteristic
105C2×#6101C2×C411yescharacteristic
106C2×#6101C2×C411yescharacteristic
107C2×#6101C2×C411yescharacteristic
108C2×#6101C2×C411yescharacteristic
109C2×#6101C2×C411yescharacteristic
110C2×#6101C2×C411yescharacteristic
111C2×#6101C2×C411yescharacteristic
112C2×#6101C2×C411yescharacteristic
113C2×C4×Dic13C2×C411yescharacteristic
114C2×C4×Dic13C2×C411yescharacteristic
115C2×C4×Dic13C2×C414yes—
116C2×C4×Dic13C2311yescharacteristic
117C2×C4×Dic13C2311yescharacteristic
118C2×C4×Dic13C2311yescharacteristic
119C2×C4×Dic13C2311yescharacteristic
120C2×C4×Dic13C2314yes—
121C22×#1055C2311yescharacteristic
122C22×#1055C2311yescharacteristic
123C22×#1055C2311yescharacteristic
124C22×#1055C2311yescharacteristic
125#88144C2×C418yes—
126#88144C2×C418yes—
127#88142C2×C418yes—
128#88142C2×C418yes—
129#88132C2×C418yes—
130#88132C2×C418yes—
131#88132C2×C418yes—
132#88132C2×C418yes—
133C4×Dic26C2×C414yes—
134C4×Dic26C2×C414yes—
135C4×Dic26C2×C414yes—
136C4×Dic26C2×C414yes—
137C4×Dic26C2314yes—
138C4×Dic26C2314yes—
139C4×Dic26C2314yes—
140C4×Dic26C2314yes—
141C13×C4⋊C8C2314yes—
142C13×C4⋊C8C2314yes—
143C13×C22⋊C8C2314yes—
144C13×C22⋊C8C2314yes—
145C13×#97C2314yes—
146C4×C8×C13C2314yes—
147C22⋊#1055C2314yes—
148C22⋊#1055C2314yes—
149#88055C2314yes—
150#88055C2314yes—
151#88055C2314yes—
152#88055C2314yes—
153#88054C2314yes—
154#88054C2314yes—
155#88054C2314yes—
156#88054C2314yes—
157#88054C2314yes—
158#88054C2314yes—
159#88054C2314yes—
160#88054C2314yes—
161C8×Dic13C2314yes—
162C8×Dic13C2314yes—
163C8×Dic13C2314yes—
164C8×Dic13C2314yes—
165C4⋊#1055C2314yes—
166C4⋊#1055C2314yes—
167#88043C2314yes—
168C4×#1055C2314yes—
169C2×#2985—131nomaximal, Sylow
170C24×C13C22×C411yescharacteristic
171C22×C4×C13—22no—
172C22×C4×C13—22no—
173C22×C4×C13C22×C411yescharacteristic
174C22×C4×C13C22×C412yes—
175C22×C4×C13C22×C411yescharacteristic
176C22×C4×C13C22×C411yescharacteristic
177C22×C4×C13C22×C411yescharacteristic
178C22×C4×C13C22×C411yescharacteristic
179C22×C4×C13C2412yes—
180C22×C4×C13C2411yescharacteristic
181C22×Dic13—24no—
182C22×Dic13—42no—
183C22×Dic13C22×C414yes—
184C22×Dic13C22×C411yescharacteristic
185C22×Dic13C22×C411yescharacteristic
186C22×Dic13C22×C411yescharacteristic
187C22×Dic13C22×C411yescharacteristic
188C22×Dic13C22×C411yescharacteristic
189C22×Dic13C22×C411yescharacteristic
190C22×Dic13C22×C411yescharacteristic
191C22×Dic13C22×C414yes—
192C22×Dic13C22×C411yescharacteristic
193C2×Dic26—24no—
194C2×Dic26—24no—
195C2×Dic26—42no—
196C2×Dic26—42no—
197C2×Dic26C22×C414yes—
198C2×Dic26C22×C414yes—
199C2×Dic26C22×C414yes—
200C2×Dic26C22×C414yes—
201C2×C8×C13—22no—
202C2×C8×C13—22no—
203C2×C8×C13—22no—
204C2×C8×C13—22no—
205C2×C8×C13C2412yes—
206C2×C8×C13C2412yes—
207C2×C8×C13C2412yes—
208C2×C8×C13C2412yes—
209C13×C4⋊C4C22×C414yes—
210C13×C4⋊C4C22×C414yes—
211C13×C22⋊C4C22×C414yes—
212C13×C22⋊C4C22×C414yes—
213C42×C13C22×C412yes—
214C42×C13C22×C412yes—
215C42×C13C2412yes—
216C42×C13C2412yes—
217C22⋊Dic13C22×C414yes—
218C22⋊Dic13C22×C414yes—
219C4⋊Dic13C22×C414yes—
220C4⋊Dic13C22×C414yes—
221C4⋊Dic13C22×C414yes—
222C4⋊Dic13C22×C414yes—
223C4⋊Dic13C22×C414yes—
224C4⋊Dic13C22×C414yes—
225#6101C22×C414yes—
226#6101C22×C414yes—
227#6101C22×C414yes—
228#6101C22×C414yes—
229#6101C22×C414yes—
230#6101C22×C414yes—
231#6101C22×C414yes—
232#6101C22×C414yes—
233C4×Dic13C22×C412yes—
234C4×Dic13C22×C412yes—
235C4×Dic13C22×C412yes—
236C4×Dic13C22×C412yes—
237C4×Dic13C22×C414yes—
238C4×Dic13C22×C414yes—
239C4×Dic13C2412yes—
240C4×Dic13C2412yes—
241C4×Dic13C2412yes—
242C4×Dic13C2412yes—
243C2×#1055—22no—
244C2×#1055—22no—
245C2×#1055—22no—
246C2×#1055—22no—
247C2×#1055C2412yes—
248C2×#1055C2412yes—
249C2×#1055C2412yes—
250C2×#1055C2412yes—
251C2×#533—131no—
252#2985—1316no—
253C2×#446—131no—
254C2×#446—131no—
255C2×#446—131no—
256C2×#446—131no—
257C2×#446—131no—
258C2×#446—131no—
259C2×C8×Q8—131no—
260C2×C8×Q8—131no—
261C2×#433—131no—
262C2×#433—131no—
263C2×#433—131no—
264C2×#433D1311yescharacteristic
265C2×#432—131no—
266C2×#431—131no—
267C23×C13—22no—
268C23×C13—22no—
269C23×C13—22no—
270C23×C13C23×C412yes—
271C23×C13C23×C411yescharacteristic
272C2×C4×C13—22no—
273C2×C4×C13—22no—
274C2×C4×C13—22no—
275C2×C4×C13—22no—
276C2×C4×C13—22no—
277C2×C4×C13—24no—
278C2×C4×C13—22no—
279C2×C4×C13—22no—
280C2×C4×C13C23×C412yes—
281C2×C4×C13C23×C412yes—
282C2×C4×C13C23×C412yes—
283C2×C4×C13C23×C412yes—
284C2×C4×C13C23×C412yes—
285C2×C4×C13C23×C411yescharacteristic
286C2×C4×C132−1+412yes—
287C2×C4×C132−1+412yes—
288C2×C4×C13C2511yescharacteristic
289C2×Dic13—22no—
290C2×Dic13—22no—
291C2×Dic13—22no—
292C2×Dic13—22no—
293C2×Dic13—22no—
294C2×Dic13—22no—
295C2×Dic13—22no—
296C2×Dic13—28no—
297C2×Dic13—44no—
298C2×Dic13#13114yes—
299C2×Dic13C23×C412yes—
300C2×Dic13C23×C412yes—
301C2×Dic13C23×C412yes—
302C2×Dic13C23×C412yes—
303C2×Dic13C23×C412yes—
304C2×Dic13C23×C412yes—
305C2×Dic13C23×C412yes—
306C2×Dic13C23×C412yes—
307Dic26—28no—
308Dic26—28no—
309Dic26—44no—
310Dic26—44no—
311C8×C13—22no—
312C8×C13—22no—
313C8×C13—22no—
314C8×C13—22no—
315#1055—22no—
316#1055—22no—
317#1055—22no—
318#1055—22no—
319#533—138no—
320#533—138no—
321C2×C4⋊Q8—131no—
322C2×C4⋊Q8—131no—
323C2×#125—131no—
324C2×#125—131no—
325C2×C22⋊Q8—131no—
326C2×C22⋊Q8—131no—
327C2×C22⋊Q8—131no—
328C2×C22⋊Q8—131no—
329C2×C4×Q8—131no—
330C2×C4×Q8—131no—
331C2×C4×Q8—131no—
332C2×C4×Q8—131no—
333C2×#117—131no—
334C2×#117C2×D1311yescharacteristic
335C22×C42—131no—
336#446—138no—
337#446—138no—
338#446—138no—
339#446—138no—
340#446—138no—
341#446—138no—
342C8×Q8—138no—
343C8×Q8—138no—
344#433—138no—
345#433—138no—
346#433—138no—
347#433C2×D1318yes—
348#432—138no—
349#431—138no—
350C2×C4⋊C8—131no—
351C2×C4⋊C8—131no—
352C2×C4⋊C8—131no—
353C2×C4⋊C8—131no—
354C2×C4⋊C8—131no—
355C2×C4⋊C8—131no—
356C2×C4⋊C8—131no—
357C2×C4⋊C8—131no—
358C2×C4⋊C8—131no—
359C2×C4⋊C8—131no—
360C2×C4⋊C8C2×D1311yescharacteristic
361C2×C4⋊C8C2×D1311yescharacteristic
362C2×C22⋊C8—131no—
363C2×C22⋊C8—131no—
364C2×C22⋊C8C2×D1311yescharacteristic
365C2×C22⋊C8C2×D1311yescharacteristic
366C2×#97—131no—
367C2×#97—131no—
368C2×#97—131no—
369C2×#97—131no—
370C2×#97—131no—
371C2×#97C2×D1311yescharacteristic
372C2×C4×C8—131no—
373C2×C4×C8—131no—
374C2×C4×C8—131no—
375C2×C4×C8—131no—
376C2×C4×C8—131no—
377C2×C4×C8C2×D1311yescharacteristic
378C22×C13—22no—
379C22×C13—22no—
380C22×C13—22no—
381C22×C13—44no—
382C22×C13#51912yes—
383C22×C13C2×#13112yes—
384C22×C13#56812yes—
385C22×C13C24×C411yescharacteristic
386C4×C13—22no—
387C4×C13—22no—
388C4×C13—22no—
389C4×C13—22no—
390C4×C13—22no—
391C4×C13#51912yes—
392C4×C13C2×2−1+411yescharacteristic
393C4×C13C2×2−1+411yescharacteristic
394Dic13—22no—
395Dic13—22no—
396Dic13—22no—
397Dic13—22no—
398Dic13—22no—
399Dic13—22no—
400Dic13—22no—
401Dic13C2×#13114yes—
402C22×Q8—131no—
403C22×Q8—131no—
404C22×Q8—131no—
405C22×Q8—131no—
406C23×C4—131no—
407C23×C4—131no—
408C23×C4C22×D1311yescharacteristic
409C22×C8—131no—
410C22×C8—131no—
411C22×C8—131no—
412C22×C8—131no—
413C22×C8C22×D1311yescharacteristic
414C22×C8C22×D1311yescharacteristic
415C22×C8C22×D1311yescharacteristic
416C22×C8C22×D1311yescharacteristic
417C4⋊Q8—138no—
418C4⋊Q8—138no—
419#125—138no—
420#125—138no—
421C22⋊Q8—138no—
422C22⋊Q8—138no—
423C22⋊Q8—138no—
424C22⋊Q8—138no—
425C4×Q8—134no—
426C4×Q8—134no—
427C4×Q8—134no—
428C4×Q8—134no—
429C4×Q8—134no—
430C4×Q8—134no—
431C4×Q8—134no—
432C4×Q8—134no—
433#117—134no—
434#117—134no—
435#117C4×D1314yes—
436#117C22×D1314yes—
437C2×C4⋊C4—131no—
438C2×C4⋊C4—131no—
439C2×C4⋊C4—131no—
440C2×C4⋊C4—131no—
441C2×C4⋊C4—131no—
442C2×C4⋊C4—131no—
443C2×C4⋊C4—131no—
444C2×C4⋊C4—131no—
445C2×C4⋊C4—131no—
446C2×C4⋊C4—131no—
447C2×C4⋊C4—131no—
448C2×C4⋊C4—131no—
449C2×C4⋊C4—131no—
450C2×C4⋊C4—131no—
451C2×C4⋊C4C4×D1311yescharacteristic
452C2×C4⋊C4C4×D1311yescharacteristic
453C2×C22⋊C4—131no—
454C2×C22⋊C4—131no—
455C2×C22⋊C4C4×D1311yescharacteristic
456C2×C22⋊C4C4×D1311yescharacteristic
457C2×C42—131no—
458C2×C42—131no—
459C2×C42—134no—
460C2×C42—134no—
461C2×C42—131no—
462C2×C42—131no—
463C2×C42—131no—
464C2×C42—131no—
465C2×C42C22×D1311yescharacteristic
466C2×C42C22×D1311yescharacteristic
467C4⋊C8—134no—
468C4⋊C8—134no—
469C4⋊C8—134no—
470C4⋊C8—134no—
471C4⋊C8—134no—
472C4⋊C8—134no—
473C4⋊C8—134no—
474C4⋊C8—134no—
475C4⋊C8—134no—
476C4⋊C8—134no—
477C4⋊C8C22×D1314yes—
478C4⋊C8C22×D1314yes—
479C22⋊C8—134no—
480C22⋊C8—134no—
481C22⋊C8C22×D1314yes—
482C22⋊C8C22×D1314yes—
483#97—134no—
484#97—134no—
485#97—134no—
486#97—134no—
487#97—134no—
488#97C22×D1314yes—
489C4×C8—134no—
490C4×C8—134no—
491C4×C8—134no—
492C4×C8—134no—
493C4×C8—134no—
494C4×C8C22×D1314yes—
495C2×C13—42no—
496C2×C13#298514yescomplemented
497C2×C13C2×#51911yescharacteristic
498C2×C13C22×#13111yescharacteristic
499C2×C13C2×#56811yescharacteristic
500C24C2×C4×D1311yescharacteristic
501C2×Q8—134no—
502C2×Q8—134no—
503C2×Q8—134no—
504C2×Q8—134no—
505C2×Q8—264no—
506C2×Q8—264no—
507C2×Q8—522no—
508C2×Q8—522no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—131no—
512C22×C4—131no—
513C22×C4—131no—
514C22×C4—131no—
515C22×C4—134no—
516C22×C4—131no—
517C22×C4—131no—
518C22×C4—131no—
519C22×C4—131no—
520C22×C4—134no—
521C22×C4—264no—
522C22×C4—522no—
523C22×C4C2×C4×D1311yescharacteristic
524C22×C4C2×C4×D1312yes—
525C22×C4C2×C4×D1311yescharacteristic
526C22×C4C2×C4×D1311yescharacteristic
527C22×C4C2×C4×D1311yescharacteristic
528C22×C4C2×C4×D1311yescharacteristic
529C22×C4C23×D1312yes—
530C22×C4C23×D1311yescharacteristic
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—132no—
536C2×C8—132no—
537C2×C8—132no—
538C2×C8—132no—
539C2×C8—262no—
540C2×C8—262no—
541C2×C8—262no—
542C2×C8—262no—
543C2×C8C23×D1312yes—
544C2×C8C23×D1312yes—
545C2×C8C23×D1312yes—
546C2×C8C23×D1312yes—
547C4⋊C4—134no—
548C4⋊C4—134no—
549C4⋊C4—134no—
550C4⋊C4—134no—
551C4⋊C4—134no—
552C4⋊C4—134no—
553C4⋊C4—134no—
554C4⋊C4—134no—
555C4⋊C4—134no—
556C4⋊C4—134no—
557C4⋊C4—134no—
558C4⋊C4—134no—
559C4⋊C4—134no—
560C4⋊C4—134no—
561C4⋊C4C2×C4×D1314yes—
562C4⋊C4C2×C4×D1314yes—
563C22⋊C4—134no—
564C22⋊C4—134no—
565C22⋊C4C2×C4×D1314yes—
566C22⋊C4C2×C4×D1314yes—
567C42—132no—
568C42—132no—
569C42—134no—
570C42—134no—
571C42—132no—
572C42—132no—
573C42—132no—
574C42—132no—
575C42—132no—
576C42—132no—
577C42C2×C4×D1312yes—
578C42C2×C4×D1312yes—
579C42C23×D1312yes—
580C42C23×D1312yes—
581C13C2×#298511yescharacteristic, complemented, Sylow
582C23—22no—
583C23—22no—
584C23—22no—
585C23C22×C4×D1312yes—
586C23C22×C4×D1311yescharacteristic
587Q8—268no—
588Q8—268no—
589Q8—524no—
590Q8—524no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—24no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—134no—
600C2×C4—132no—
601C2×C4—132no—
602C2×C4—132no—
603C2×C4—132no—
604C2×C4—132no—
605C2×C4—132no—
606C2×C4—132no—
607C2×C4—132no—
608C2×C4—268no—
609C2×C4—262no—
610C2×C4—262no—
611C2×C4—262no—
612C2×C4—262no—
613C2×C4—262no—
614C2×C4—262no—
615C2×C4—262no—
616C2×C4—524no—
617C2×C4C22×C4×D1312yes—
618C2×C4C22×C4×D1312yes—
619C2×C4C22×C4×D1312yes—
620C2×C4C22×C4×D1312yes—
621C2×C4C22×C4×D1312yes—
622C2×C4C22×C4×D1311yescharacteristic
623C2×C4#8825712yes—
624C2×C4#8825712yes—
625C2×C4C24×D1311yescharacteristic
626C8—22no—
627C8—22no—
628C8—22no—
629C8—22no—
630C8—262no—
631C8—262no—
632C8—262no—
633C8—262no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—44no—
638C22#1171922112yes—
639C22D13×#13112yes—
640C22#1171945512yes—
641C22C23×C4×D1311yescharacteristic
642C4—22no—
643C4—22no—
644C4—22no—
645C4—22no—
646C4—22no—
647C4—134no—
648C4—262no—
649C4—262no—
650C4—262no—
651C4—262no—
652C4—262no—
653C4—262no—
654C4—262no—
655C4#1171922112yes—
656C4C2×#8825711yescharacteristic
657C4C2×#8825711yescharacteristic
658C2—42no—
659C2#1312392814yesdirect product factor
660C2C2×#1171922111yescharacteristic
661C2C2×D13×#13111yescharacteristic
662C2C2×#1171945511yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutatorC22×C13C24×C4
FrattiniC2×C4C24×D13
FittingC2×C13×#433C2
socleC23×C13C23×C4
prime radicalC24×C13C22×C4
cosocleC2×C4×C13C25
hypercenterC2×#433D13
hypocenterC13C2×#2985
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
2. #13123928C2direct (N × H)
3. C2×#11718340C2semidirect
4. C2×#11718489C2semidirect
5. C2×#11718489C2semidirect
6. C2×#11718362C2semidirect
7. C2×#11718362C2semidirect
8. C2×#11718492C2semidirect
9. C2×C8×Dic26C2semidirect
10. C2×#11718491C2semidirect
64. #11718492C22semidirect
65. #11718491C22semidirect
66. #11718489C22semidirect
67. #11718489C22semidirect
72. #11718362C22semidirect
73. #11718362C22semidirect
74. #11718340C22semidirect
75. C8×Dic26C22semidirect
496. C2×C13#2985semidirect
581. C13C2×#2985semidirect
659. C2#13123928direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192222
#131239282
C2×#117183402
C2×#117184892
C2×#117183622
C2×#117184922
C2×C8×Dic262
C2×#117184912
C2×#117186612
C2×#117183812
C2×#117183802
C2×#117183792
C2×C13×#4332
C2×#298513