Finite Group Databasebeta

← C2×#22599627 #32869677

Subgroups — C2×#22599627 #32869677

Order 18176.

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×#17986630C211yesmaximal, characteristic, complemented
2C2×#17986622C211yesmaximal, characteristic
3#22599627C2116yesmaximal, direct product factor
4C2×#17986407C211yesmaximal, characteristic, complemented
5C2×#17986403C211yesmaximal, characteristic, complemented
6C2×#17986360C211yesmaximal, characteristic, complemented
7C2×#17986355C211yesmaximal, characteristic, complemented
8C2×#17986337C211yesmaximal, characteristic, complemented
9C2×#17986324C211yesmaximal, characteristic
10C2×#17986312C211yesmaximal, characteristic
11C2×#17986304C211yesmaximal, characteristic, complemented
12C2×#17986292C211yesmaximal, characteristic, complemented
13C2×#17986302C211yesmaximal, characteristic, complemented
14C2×#17986278C211yesmaximal, characteristic, complemented
15C2×#17986057C211yesmaximal, characteristic, complemented
16C2×#484×C71C211yesmaximal, characteristic, complemented
17#17986630—24no—
18#17986630C2218yescomplemented
19#17986622—24no—
20#17986622C2218yes—
21C2×#14556127—21no—
22C2×#14556127C2211yescharacteristic
23C2×#14556127C2211yescharacteristic
24C2×#14556127C2211yescharacteristic
25C2×#14556123—21no—
26C2×#14556119—21no—
27C2×#14556119C2211yescharacteristic
28C2×#14556119C2211yescharacteristic
29C2×#14556117C2211yescharacteristic
30C2×#14556114—21no—
31C2×#14556110—21no—
32C2×#14556108—21no—
33C2×#14556107—21no—
34C2×#14556107—21no—
35C2×#14556102C2211yescharacteristic
36C2×Q8×Dic71C2211yescharacteristic
37C2×#14556090C2211yescharacteristic
38C2×#14556087C2211yescharacteristic
39C2×#14556087C2211yescharacteristic
40#17986407C2218yescomplemented
41#17986403C2218yescomplemented
42#17986360C2218yescomplemented
43#17986355C2218yescomplemented
44#17986337C2218yescomplemented
45#17986324C2218yes—
46#17986312C2218yes—
47#17986304C2218yescomplemented
48#17986302C2218yescomplemented
49#17986292C2218yescomplemented
50#17986278C2218yescomplemented
51#17986057C2218yescomplemented
52C2×#14556062C2211yescharacteristic
53C2×#14556061C2211yescharacteristic
54C2×#14556061C2211yescharacteristic
55C2×#14556061C2211yescharacteristic
56C2×#14556060C2211yescharacteristic
57C2×#14556059C2211yescharacteristic
58C2×Dic71⋊C8C2211yescharacteristic
59C2×Dic71⋊C8C2211yescharacteristic
60C2×#14556052C2211yescharacteristic
61C2×#14556052C2211yescharacteristic
62C2×#14556050C2211yescharacteristic
63C2×#14556050C2211yescharacteristic
64C2×#14556048C2211yescharacteristic
65C2×#14556048C2211yescharacteristic
66C2×C22⋊(C71⋊C8)C2211yescharacteristic
67C2×#14556038C2211yescharacteristic
68C2×C8×Dic71C2211yescharacteristic
69C2×C22⋊Q8×C71C2211yescharacteristic
70C22×C4⋊C4×C71C2211yescharacteristic
71#484×C71C2218yescomplemented
72C2×#107×C71C2211yescharacteristic
73C2×#107×C71C2211yescharacteristic
74C2×#103×C71C2211yescharacteristic
75C2×#103×C71C2211yescharacteristic
76C2×C22⋊C8×C71C2211yescharacteristic
77C22×Dic142—21no—
78C22×Dic142—21no—
79C22×Dic142—21no—
80C22×D284C2311yescharacteristic
81C22×C22⋊D71—21no—
82C22×C4×D71—21no—
83C22×C71⋊C8C2311yescharacteristic
84C22×C71⋊C8C2311yescharacteristic
85#14556127—28no—
86#14556127—22no—
87#14556127—22no—
88#14556127—22no—
89#14556127C2314yes—
90#14556127C2314yes—
91#14556127C2314yes—
92#14556123—28no—
93#14556119—28no—
94#14556119—22no—
95#14556119—22no—
96#14556119C2314yes—
97#14556119C2314yes—
98#14556117—22no—
99#14556117C2314yes—
100#14556114—28no—
101#14556110—28no—
102#14556108—28no—
103#14556107—28no—
104#14556107—28no—
105#14556102—22no—
106#14556102C2314yes—
107Q8×Dic71—22no—
108Q8×Dic71C2314yes—
109#14556090—22no—
110#14556090C2314yes—
111#14556087—22no—
112#14556087D414yes—
113#14556087C2314yes—
114#14556087C2314yes—
115C2×C4⋊Dic71—21no—
116C2×C4⋊Dic71—21no—
117C2×C4⋊Dic71—21no—
118C2×C4⋊Dic71D411yescharacteristic
119C2×C4⋊Dic71D411yescharacteristic
120C2×C4⋊Dic71C2311yescharacteristic
121C2×C4⋊Dic71C2311yescharacteristic
122C2×C4⋊Dic71C2311yescharacteristic
123C2×Dic71⋊C4—21no—
124C2×Dic71⋊C4—21no—
125C2×Dic71⋊C4—21no—
126C2×Dic71⋊C4—21no—
127C2×Dic71⋊C4—21no—
128C2×C22⋊Dic71—21no—
129C2×C22⋊Dic71D411yescharacteristic
130C2×C22⋊Dic71D411yescharacteristic
131C2×(C2×D71)⋊C4—21no—
132C2×(C2×D71)⋊C4—21no—
133C2×(C2×D71)⋊C4—21no—
134C2×(C2×D71)⋊C4—21no—
135C2×C4×Dic71—21no—
136C2×C4×Dic71—21no—
137C2×C4×Dic71C2311yescharacteristic
138C2×C4×Dic71C2311yescharacteristic
139#14556062C2314yes—
140#14556061C2314yes—
141#14556061C2314yes—
142#14556061C2314yes—
143#14556060C2314yes—
144#14556059C2314yes—
145Dic71⋊C8C2314yes—
146Dic71⋊C8C2314yes—
147#14556052C2314yes—
148#14556052C2314yes—
149#14556050C2314yes—
150#14556050C2314yes—
151#14556048C2314yes—
152#14556048C2314yes—
153C22⋊(C71⋊C8)C2314yes—
154#14556038C2314yes—
155C8×Dic71C2314yes—
156C22×Q8×C71C2311yescharacteristic
157C23×C4×C71—21no—
158C23×C4×C71C2311yescharacteristic
159C22×C8×C71C2311yescharacteristic
160C22×C8×C71C2311yescharacteristic
161C22⋊Q8×C71—22no—
162C22⋊Q8×C71C2314yes—
163C2×C4⋊C4×C71—22no—
164C2×C4⋊C4×C71—21no—
165C2×C4⋊C4×C71—21no—
166C2×C4⋊C4×C71C2314yes—
167C2×C4⋊C4×C71C2311yescharacteristic
168C2×C4⋊C4×C71C2311yescharacteristic
169C2×C4⋊C4×C71C2311yescharacteristic
170C2×C22⋊C4×C71—21no—
171#107×C71C2314yes—
172#107×C71C2314yes—
173#103×C71C2314yes—
174#103×C71C2314yes—
175C22⋊C8×C71C2314yes—
176C23×D71—21no—
177C2×Dic142—24no—
178C2×Dic142—24no—
179C2×Dic142—24no—
180C2×Dic142—82no—
181C2×Dic142—82no—
182C2×Dic142—82no—
183C2×D284—22no—
184C2×D284—22no—
185C2×D284—21no—
186C2×D284C2412yes—
187C2×C22⋊D71—24no—
188C2×C22⋊D71—82no—
189C22×Dic71—21no—
190C22×Dic71—21no—
191C22×Dic71—21no—
192C22×Dic71C2×D411yescharacteristic
193C22×Dic71C2×D411yescharacteristic
194C22×Dic71C2×D411yescharacteristic
195C22×Dic71C2×D411yescharacteristic
196C2×C4×D71—24no—
197C2×C4×D71—82no—
198C2×C71⋊C8—22no—
199C2×C71⋊C8—22no—
200C2×C71⋊C8C2412yes—
201C2×C71⋊C8C2412yes—
202C4⋊Dic71—21no—
203C4⋊Dic71—21no—
204C4⋊Dic71—21no—
205C4⋊Dic71—24no—
206C4⋊Dic71—24no—
207C4⋊Dic71—24no—
208C4⋊Dic71C2×D414yes—
209C4⋊Dic71C2×D414yes—
210C4⋊Dic71C2412yes—
211C4⋊Dic71C2412yes—
212C4⋊Dic71C2412yes—
213Dic71⋊C4—24no—
214Dic71⋊C4—24no—
215Dic71⋊C4—24no—
216Dic71⋊C4—24no—
217Dic71⋊C4—24no—
218C22⋊Dic71—24no—
219C22⋊Dic71C2×D414yes—
220C22⋊Dic71C2×D414yes—
221(C2×D71)⋊C4—24no—
222(C2×D71)⋊C4—24no—
223(C2×D71)⋊C4—24no—
224(C2×D71)⋊C4—24no—
225C4×Dic71—24no—
226C4×Dic71—24no—
227C4×Dic71C2×D412yes—
228C4×Dic71C2×D412yes—
229C4×Dic71C2412yes—
230C4×Dic71C2412yes—
231C24×C71C2×D411yescharacteristic
232C2×Q8×C71—21no—
233C2×Q8×C71—22no—
234C2×Q8×C71—22no—
235C2×Q8×C71C2412yes—
236C22×C4×C71—22no—
237C22×C4×C71—22no—
238C22×C4×C71—21no—
239C22×C4×C71—21no—
240C22×C4×C71—21no—
241C22×C4×C71—21no—
242C22×C4×C71—24no—
243C22×C4×C71—82no—
244C22×C4×C71C2×D411yescharacteristic
245C22×C4×C71C2×D412yes—
246C22×C4×C71C2412yes—
247C22×C4×C71C2411yescharacteristic
248C2×C8×C71—22no—
249C2×C8×C71—22no—
250C2×C8×C71C2412yes—
251C2×C8×C71C2412yes—
252C4⋊C4×C71—24no—
253C4⋊C4×C71—21no—
254C4⋊C4×C71—21no—
255C4⋊C4×C71—24no—
256C4⋊C4×C71—21no—
257C4⋊C4×C71C2412yes—
258C4⋊C4×C71C2412yes—
259C4⋊C4×C71C2412yes—
260C22⋊C4×C71—24no—
261C23×C71—22no—
262C23×C71—22no—
263C23×C71—22no—
264C23×C71C22×D412yes—
265C23×C71C22×D411yescharacteristic
266C22×D71—22no—
267C22×D71—42no—
268C22×D71—42no—
269C22×D71—42no—
270Q8×C71—22no—
271Q8×C71—22no—
272Q8×C71—42no—
273C2×C4×C71—22no—
274C2×C4×C71—24no—
275C2×C4×C71—22no—
276C2×C4×C71—22no—
277C2×C4×C71—22no—
278C2×C4×C71—22no—
279C2×C4×C71—22no—
280C2×C4×C71—22no—
281C2×C4×C71—42no—
282C2×C4×C71—42no—
283C2×C4×C71—42no—
284C2×C4×C71—42no—
285C2×C4×C71—84no—
286C2×C4×C71C22×D412yes—
287C2×C4×C71C22×D411yescharacteristic
288C2×C4×C712−1+412yes—
289C2×C4×C712−1+412yes—
290C2×C4×C71C2511yescharacteristic
291C22⋊D71—84no—
292C2×Dic71—22no—
293C2×Dic71—22no—
294C2×Dic71—22no—
295C2×Dic71—22no—
296C2×Dic71—22no—
297C2×Dic71—22no—
298C2×Dic71—22no—
299C2×Dic71—42no—
300C2×Dic71—42no—
301C2×Dic71—42no—
302C2×Dic71C22×D412yes—
303C2×Dic71C22×D412yes—
304C2×Dic71C22×D412yes—
305C2×Dic71C22×D412yes—
306D284—22no—
307D284—22no—
308D284—42no—
309C4×D71—84no—
310Dic142—84no—
311Dic142—84no—
312Dic142—84no—
313C8×C71—22no—
314C8×C71—22no—
315C71⋊C8—22no—
316C71⋊C8—22no—
317C22×C71—22no—
318C22×C71—22no—
319C22×C71—22no—
320C22×C71—44no—
321C22×C71#53612yes—
322C22×C71#57612yes—
323C22×C71#57812yes—
324C22×C71C23×D411yescharacteristic
325C2×D71—42no—
326C2×D71—42no—
327C2×D71—42no—
328C2×D71—84no—
329C4×C71—22no—
330C4×C71—42no—
331C4×C71—42no—
332C4×C71—42no—
333C4×C71—42no—
334C4×C71#53612yes—
335C4×C71C2×2−1+411yescharacteristic
336C4×C71C2×2−1+411yescharacteristic
337Dic71—22no—
338Dic71—22no—
339Dic71—22no—
340Dic71—22no—
341Dic71—42no—
342Dic71—42no—
343Dic71—42no—
344C2×#3243—711nomaximal, Sylow
345C2×C71—42no—
346C2×C71#324314yescomplemented
347C2×C71C2×#53611yescharacteristic
348C2×C71C2×#57611yescharacteristic
349C2×C71C2×#57811yescharacteristic
350D71—82no—
351C2×#544—711no—
352C2×#542—711no—
353#3243—7116no—
354C2×#501—711no—
355C2×#500—711no—
356C2×#489—711no—
357C2×#488—711no—
358C2×#484D7111yescharacteristic, complemented
359C2×#485—711no—
360C2×#482—711no—
361C2×#480—711no—
362C2×#479—711no—
363C2×#477—711no—
364C2×#478—711no—
365C2×#474—711no—
366C2×#433—711no—
367C71C2×#324311yescharacteristic, complemented, Sylow
368#544—718no—
369#544—1424no—
370#542—718no—
371#542—1424no—
372C2×C4⋊Q8—711no—
373C2×C4⋊Q8—711no—
374C2×C4⋊Q8—711no—
375C2×C4⋊Q8—1421no—
376C2×#126—1421no—
377C2×#125—711no—
378C2×#125—711no—
379C2×#125—1421no—
380C2×#124—711no—
381C2×#124—1421no—
382C2×#123—1421no—
383C2×C22⋊Q8—1421no—
384C2×C22⋊Q8—1421no—
385C2×C22⋊Q8—1421no—
386C2×C22⋊Q8C2×D7111yescharacteristic
387C2×#121—711no—
388C2×C4×Q8—711no—
389C2×C4×D4—711no—
390C2×#117—711no—
391C2×#117—711no—
392C22×C4⋊C4C2×D7111yescharacteristic
393#501—718no—
394#500—718no—
395#489—718no—
396#488—718no—
397#485—718no—
398#484C2×D7118yescomplemented
399#482—718no—
400#480—718no—
401#479—718no—
402#478—718no—
403#477—718no—
404#474—718no—
405#433—718no—
406C2×#107—711no—
407C2×#107—711no—
408C2×#107—711no—
409C2×#107—711no—
410C2×#107C2×D7111yescharacteristic
411C2×#107C2×D7111yescharacteristic
412C2×#106—711no—
413C2×#106—711no—
414C2×C4⋊C8—711no—
415C2×C4⋊C8—711no—
416C2×#103—711no—
417C2×#103—711no—
418C2×#103C2×D7111yescharacteristic
419C2×#103C2×D7111yescharacteristic
420C2×#102—711no—
421C2×#102—711no—
422C2×#102—711no—
423C2×#102—711no—
424C2×C22⋊C8—711no—
425C2×C22⋊C8C2×D7111yescharacteristic
426C2×#97—711no—
427C2×C4×C8—711no—
428C22×Q8—1421no—
429C22×Q8—1421no—
430C22×Q8—1421no—
431C22×Q8C22×D7111yescharacteristic
432C22×D4—711no—
433C22×D4—1421no—
434C23×C4—21no—
435C23×C4—1421no—
436C23×C4C22×D7111yescharacteristic
437C22×C8—711no—
438C22×C8—711no—
439C22×C8C22×D7111yescharacteristic
440C22×C8C22×D7111yescharacteristic
441C4⋊Q8—714no—
442C4⋊Q8—714no—
443C4⋊Q8—714no—
444C4⋊Q8—1422no—
445C4⋊Q8—1422no—
446C4⋊Q8—1422no—
447C4⋊Q8—1428no—
448#126—1428no—
449#125—714no—
450#125—714no—
451#125—1422no—
452#125—1422no—
453#125—1428no—
454#124—714no—
455#124—1422no—
456#124—1428no—
457#123—1428no—
458C22⋊Q8—22no—
459C22⋊Q8—1428no—
460C22⋊Q8—1428no—
461C22⋊Q8—1428no—
462C22⋊Q8C22×D7114yes—
463#121—714no—
464#121—1422no—
465C4×Q8—714no—
466C4×Q8—1422no—
467C4×D4—714no—
468C4×D4—1422no—
469#117—714no—
470#117—714no—
471#117—714no—
472#117—1422no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—22no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—711no—
477C2×C4⋊C4—711no—
478C2×C4⋊C4—711no—
479C2×C4⋊C4—711no—
480C2×C4⋊C4—711no—
481C2×C4⋊C4—1421no—
482C2×C4⋊C4—1421no—
483C2×C4⋊C4—1421no—
484C2×C4⋊C4—1421no—
485C2×C4⋊C4—1421no—
486C2×C4⋊C4—1421no—
487C2×C4⋊C4—1421no—
488C2×C4⋊C4—1421no—
489C2×C4⋊C4C22×D7111yescharacteristic
490C2×C4⋊C4C22×D7111yescharacteristic
491C2×C4⋊C4C22×D7114yes—
492C2×C4⋊C4C22×D7111yescharacteristic
493C2×C22⋊C4—21no—
494C2×C22⋊C4—711no—
495C2×C22⋊C4—711no—
496C2×C22⋊C4—1421no—
497C2×C22⋊C4—1421no—
498C2×C22⋊C4—1421no—
499C2×C22⋊C4—1421no—
500C2×C22⋊C4—1421no—
501C2×C42—711no—
502C2×C42—711no—
503C2×C42—1421no—
504C2×C42—1421no—
505#107—714no—
506#107—714no—
507#107—714no—
508#107—714no—
509#107C22×D7114yes—
510#107C22×D7114yes—
511#106—714no—
512#106—714no—
513C4⋊C8—714no—
514C4⋊C8—714no—
515#103—714no—
516#103—714no—
517#103C22×D7114yes—
518#103C22×D7114yes—
519#102—714no—
520#102—714no—
521#102—714no—
522#102—714no—
523C22⋊C8—714no—
524C22⋊C8C22×D7114yes—
525#97—714no—
526C4×C8—714no—
527C24—1421no—
528C24D4×D7111yescharacteristic
529C2×Q8—21no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8—5682no—
533C2×Q8—5682no—
534C2×Q8—5682no—
535C2×Q8—1424no—
536C2×Q8—1424no—
537C2×Q8—1424no—
538C2×Q8C23×D7112yes—
539C2×D4—5682no—
540C2×D4—712no—
541C2×D4—1424no—
542C2×D4—1421no—
543C2×D4—1422no—
544C2×D4—1422no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—24no—
552C22×C4—82no—
553C22×C4—5682no—
554C22×C4—711no—
555C22×C4—711no—
556C22×C4—711no—
557C22×C4—711no—
558C22×C4—1424no—
559C22×C4—1421no—
560C22×C4—1421no—
561C22×C4—1421no—
562C22×C4D4×D7112yes—
563C22×C4D4×D7111yescharacteristic
564C22×C4C23×D7112yes—
565C22×C4C23×D7111yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—712no—
569C2×C8—712no—
570C2×C8—1422no—
571C2×C8—1422no—
572C2×C8C23×D7112yes—
573C2×C8C23×D7112yes—
574C4⋊C4—24no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—24no—
578C4⋊C4—21no—
579C4⋊C4—714no—
580C4⋊C4—714no—
581C4⋊C4—712no—
582C4⋊C4—712no—
583C4⋊C4—712no—
584C4⋊C4—1424no—
585C4⋊C4—1424no—
586C4⋊C4—1424no—
587C4⋊C4—1424no—
588C4⋊C4—1424no—
589C4⋊C4—1424no—
590C4⋊C4—1424no—
591C4⋊C4—1424no—
592C4⋊C4—1421no—
593C4⋊C4—1421no—
594C4⋊C4—1421no—
595C4⋊C4C23×D7112yes—
596C4⋊C4C23×D7112yes—
597C4⋊C4C23×D7112yes—
598C22⋊C4—24no—
599C22⋊C4—714no—
600C22⋊C4—714no—
601C22⋊C4—1424no—
602C22⋊C4—1424no—
603C22⋊C4—1424no—
604C22⋊C4—1424no—
605C22⋊C4—1424no—
606C42—712no—
607C42—712no—
608C42—712no—
609C42—712no—
610C42—1424no—
611C42—1424no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—2842no—
616C23—2842no—
617C23—2842no—
618C23—1422no—
619C23C2×D4×D7112yes—
620C23C2×D4×D7111yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624Q8—5684no—
625Q8—5684no—
626Q8—5684no—
627D4—2842no—
628D4—5684no—
629D4—1422no—
630D4—1422no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—84no—
644C2×C4—2842no—
645C2×C4—2842no—
646C2×C4—2842no—
647C2×C4—5684no—
648C2×C4—712no—
649C2×C4—712no—
650C2×C4—712no—
651C2×C4—712no—
652C2×C4—1422no—
653C2×C4—1422no—
654C2×C4—1422no—
655C2×C4—1422no—
656C2×C4—1422no—
657C2×C4—1422no—
658C2×C4—1422no—
659C2×C4C2×D4×D7112yes—
660C2×C4C2×D4×D7111yescharacteristic
661C2×C4#1455617512yes—
662C2×C4#1455617512yes—
663C2×C4C24×D7111yescharacteristic
664C8—22no—
665C8—22no—
666C8—1422no—
667C8—1422no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—2842no—
673C22—2842no—
674C22—2842no—
675C22—5684no—
676C22#1798657112yes—
677C22#1798680312yes—
678C22#1798681212yes—
679C22C22×D4×D7111yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—2842no—
686C4—2842no—
687C4—2842no—
688C4—1422no—
689C4—1422no—
690C4—1422no—
691C4—1422no—
692C4#1798657112yes—
693C4C2×#1455617511yescharacteristic
694C4C2×#1455617511yescharacteristic
695C2—42no—
696C2—5682no—
697C2#2259962714yesdirect product factor
698C2C2×#1798657111yescharacteristic
699C2C2×#1798680311yescharacteristic
700C2C2×#1798681211yescharacteristic
subgroupG/H
centerC23C2×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC2×#484×C71C2
socleC23×C71C22×D4
prime radicalC2×#14556102C22
hypercenterC2×#484D71
hypocenterC71C2×#3243
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#484

Complements

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

NH ≅ G/Ntype
1. C2×#17986630C2semidirect
3. #22599627C2direct (N × H)
4. C2×#17986407C2semidirect
5. C2×#17986403C2semidirect
6. C2×#17986360C2semidirect
7. C2×#17986355C2semidirect
8. C2×#17986337C2semidirect
11. C2×#17986304C2semidirect
12. C2×#17986292C2semidirect
13. C2×#17986302C2semidirect
14. C2×#17986278C2semidirect
15. C2×#17986057C2semidirect
16. C2×#484×C71C2semidirect
18. #17986630C22semidirect
40. #17986407C22semidirect
41. #17986403C22semidirect
42. #17986360C22semidirect
43. #17986355C22semidirect
44. #17986337C22semidirect
47. #17986304C22semidirect
48. #17986302C22semidirect
49. #17986292C22semidirect
50. #17986278C22semidirect
51. #17986057C22semidirect
71. #484×C71C22semidirect
346. C2×C71#3243semidirect
358. C2×#484D71semidirect
367. C71C2×#3243semidirect
398. #484C2×D71semidirect
697. C2#22599627direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179866302
C2×#179866222
#225996272
C2×#179864072
C2×#179864032
C2×#179863602
C2×#179863552
C2×#179863372
C2×#179863242
C2×#179863122
C2×#179863042
C2×#179862922
C2×#179863022
C2×#179862782
C2×#179860572
C2×#484×C712
C2×#324371