Finite Group Databasebeta

← C2×#19147336 #25976321

Subgroups — C2×#19147336 #25976321

Order 11008.

1842 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×Q8×Dic86C211yesmaximal, characteristic, complemented
2C2×#14583621C211yesmaximal, characteristic
3#19147336C2116yesmaximal, direct product factor
4C2×#14583260C211yesmaximal, characteristic
5C2×#14583259C211yesmaximal, characteristic
6C2×#14583248C211yesmaximal, characteristic, complemented
7C2×#14583184C211yesmaximal, characteristic, complemented
8C2×#14583183C211yesmaximal, characteristic, complemented
9C2×#14583188C211yesmaximal, characteristic
10C2×#14583123C211yesmaximal, characteristic
11C2×#14583121C211yesmaximal, characteristic
12C2×#14583107C211yesmaximal, characteristic, complemented
13C2×#14583027C211yesmaximal, characteristic, complemented
14C2×#14583003C211yesmaximal, characteristic, complemented
15C2×#14582984C211yesmaximal, characteristic
16C2×C43×#441C211yesmaximal, characteristic, complemented
17C22×#10621885C2211yescharacteristic
18C22×#10621884C2211yescharacteristic
19Q8×Dic86—24no—
20Q8×Dic86C2218yescomplemented
21#14583621—24no—
22#14583621C2218yes—
23C2×#13063325—21no—
24C2×#13063325C2211yescharacteristic
25C2×#13063324—21no—
26C2×#13063324—21no—
27C2×#13063324C2211yescharacteristic
28C2×#13063324C2211yescharacteristic
29C2×#13063323C2211yescharacteristic
30C2×#13063320—21no—
31C2×#13063319—21no—
32C2×#13063314C2211yescharacteristic
33C2×#13063313C2211yescharacteristic
34C2×#13063303—21no—
35C2×Q8×Dic43C2211yescharacteristic
36C2×Q8×Dic43C2211yescharacteristic
37C2×C4×Dic86—21no—
38C2×C4×Dic86C2211yescharacteristic
39C2×#13063290C2211yescharacteristic
40C2×#13063287C2211yescharacteristic
41C2×#13063282—21no—
42#14583260C2218yes—
43#14583259C2218yes—
44#14583248C2218yescomplemented
45#14583188C2218yes—
46#14583184C2218yescomplemented
47#14583183C2218yescomplemented
48#14583123C2218yes—
49#14583121C2218yes—
50#14583107C2218yescomplemented
51#14583027C2218yescomplemented
52#14583003C2218yescomplemented
53#14582984C2218yes—
54C2×#13063256C2211yescharacteristic
55C2×#13063256C2211yescharacteristic
56C2×C4⋊(C43⋊C8)C2211yescharacteristic
57C2×Dic43⋊C8C2211yescharacteristic
58C2×Dic43⋊C8C2211yescharacteristic
59C2×#13063250C2211yescharacteristic
60C2×#13063250C2211yescharacteristic
61C2×#13063249C2211yescharacteristic
62C2×#13063249C2211yescharacteristic
63C2×#13063248C2211yescharacteristic
64C2×#13063247C2211yescharacteristic
65C2×#13063247C2211yescharacteristic
66C2×#13063245C2211yescharacteristic
67C2×#13063235C2211yescharacteristic
68C2×C8×Dic43C2211yescharacteristic
69C22×Q16×C43C2211yescharacteristic
70C2×C4×Q8×C43C2211yescharacteristic
71C2×C4×Q8×C43C2211yescharacteristic
72C43×#441C2218yescomplemented
73C2×#106×C43C2211yescharacteristic
74C2×#103×C43C2211yescharacteristic
75C2×#103×C43C2211yescharacteristic
76C2×#97×C43C2211yescharacteristic
77C22×Dic86—21no—
78C22×Dic86—21no—
79C22×Dic86—21no—
80C22×Dic86D411yescharacteristic
81C22×Dic86C2311yescharacteristic
82C22×D172C2311yescharacteristic
83C22×C4×D43—21no—
84C2×#10621885—24no—
85C2×#10621885C2314yes—
86C2×#10621884—24no—
87C2×#10621884C2314yes—
88C22×C43⋊C8C2311yescharacteristic
89C22×C43⋊C8C2311yescharacteristic
90#13063325—22no—
91#13063325—28no—
92#13063325C2314yes—
93#13063324—28no—
94#13063324—28no—
95#13063324—22no—
96#13063324—22no—
97#13063324C2314yes—
98#13063324C2314yes—
99#13063323—22no—
100#13063323C2314yes—
101#13063320—28no—
102#13063319—28no—
103#13063314—22no—
104#13063314C2314yes—
105#13063313—22no—
106#13063313C2314yes—
107#13063303—28no—
108Q8×Dic43—22no—
109Q8×Dic43—22no—
110Q8×Dic43C2314yes—
111Q8×Dic43C2314yes—
112C4×Dic86—28no—
113C4×Dic86D414yes—
114C4×Dic86C2314yes—
115#13063290—22no—
116#13063290C2314yes—
117#13063287—22no—
118#13063287C2314yes—
119#13063282—28no—
120C2×C4⋊Dic43—21no—
121C2×C4⋊Dic43—21no—
122C2×C4⋊Dic43—21no—
123C2×C4⋊Dic43D411yescharacteristic
124C2×C4⋊Dic43C2311yescharacteristic
125C2×C4⋊Dic43C2311yescharacteristic
126C2×Dic43⋊C4—21no—
127C2×Dic43⋊C4—21no—
128C2×Dic43⋊C4—21no—
129C2×Dic43⋊C4—21no—
130C2×Dic43⋊C4—21no—
131C2×Dic43⋊C4D411yescharacteristic
132C2×Dic43⋊C4D411yescharacteristic
133C2×(C2×D43)⋊C4—21no—
134C2×(C2×D43)⋊C4—21no—
135C2×(C2×D43)⋊C4—21no—
136C2×(C2×D43)⋊C4—21no—
137C2×(C2×D43)⋊C4—21no—
138C2×C4×Dic43—21no—
139C2×C4×Dic43—21no—
140C2×C4×Dic43—21no—
141C2×C4×Dic43C2311yescharacteristic
142C2×C4×Dic43C2311yescharacteristic
143#13063256C2314yes—
144#13063256C2314yes—
145C4⋊(C43⋊C8)C2314yes—
146Dic43⋊C8C2314yes—
147Dic43⋊C8C2314yes—
148#13063250C2314yes—
149#13063250C2314yes—
150#13063249C2314yes—
151#13063249C2314yes—
152#13063248C2314yes—
153#13063247C2314yes—
154#13063247C2314yes—
155#13063245C2314yes—
156#13063235C2314yes—
157C8×Dic43C2314yes—
158C22×Q8×C43C2311yescharacteristic
159C22×Q8×C43C2311yescharacteristic
160C2×Q16×C43—24no—
161C2×Q16×C43C2314yes—
162C22×C8×C43C2311yescharacteristic
163C22×C8×C43C2311yescharacteristic
164C4×Q8×C43—22no—
165C4×Q8×C43—22no—
166C4×Q8×C43C2314yes—
167C4×Q8×C43C2314yes—
168C2×C4⋊C4×C43—21no—
169C2×C4⋊C4×C43—21no—
170C2×C4⋊C4×C43C2311yescharacteristic
171C2×C4⋊C4×C43C2311yescharacteristic
172C2×C42×C43—21no—
173C2×C42×C43—21no—
174C2×C42×C43C2311yescharacteristic
175#106×C43C2314yes—
176#103×C43C2314yes—
177#103×C43C2314yes—
178#97×C43C2314yes—
179C23×D43—21no—
180C2×Q8×C43—21no—
181C2×Q8×C43—21no—
182C2×Q8×C43—22no—
183C2×Q8×C43—22no—
184C2×Q8×C43—22no—
185C2×Q8×C43#4114yes—
186C2×Q8×C43C2412yes—
187C2×Q8×C43C2412yes—
188C22×C4×C43—21no—
189C22×C4×C43—21no—
190C22×C4×C43—21no—
191C22×C4×C43—21no—
192C22×C4×C43C2×D411yescharacteristic
193C22×C4×C43C2×D411yescharacteristic
194C22×C4×C43C2411yescharacteristic
195C22×Dic43—21no—
196C22×Dic43—21no—
197C22×Dic43—21no—
198C22×Dic43C2×D411yescharacteristic
199C22×Dic43C2×D411yescharacteristic
200C22×Dic43C2×D411yescharacteristic
201C22×Dic43C2×D411yescharacteristic
202C2×D172—21no—
203C2×D172—22no—
204C2×D172—22no—
205C2×D172C2412yes—
206C2×C4×D43—24no—
207C2×C4×D43—44no—
208C2×Dic86—24no—
209C2×Dic86—22no—
210C2×Dic86—22no—
211C2×Dic86—21no—
212C2×Dic86—24no—
213C2×Dic86—24no—
214C2×Dic86—24no—
215C2×Dic86—82no—
216C2×Dic86—82no—
217C2×Dic86—82no—
218C2×Dic86C2×D414yes—
219C2×Dic86C2412yes—
220Q16×C43—28no—
221C2×C8×C43—22no—
222C2×C8×C43—22no—
223C2×C8×C43C2412yes—
224C2×C8×C43C2412yes—
225C4⋊C4×C43—24no—
226C4⋊C4×C43—24no—
227C4⋊C4×C43—21no—
228C4⋊C4×C43—21no—
229C4⋊C4×C43C2412yes—
230C4⋊C4×C43C2412yes—
231C42×C43—24no—
232C42×C43—24no—
233C42×C43C2×D412yes—
234C42×C43C2412yes—
235#10621885—28no—
236#10621884—28no—
237(C2×D43)⋊C4—24no—
238(C2×D43)⋊C4—24no—
239(C2×D43)⋊C4—24no—
240(C2×D43)⋊C4—24no—
241(C2×D43)⋊C4—24no—
242C4⋊Dic43—24no—
243C4⋊Dic43—21no—
244C4⋊Dic43—21no—
245C4⋊Dic43—24no—
246C4⋊Dic43—24no—
247C4⋊Dic43C2×D414yes—
248C4⋊Dic43C2412yes—
249C4⋊Dic43C2412yes—
250Dic43⋊C4—24no—
251Dic43⋊C4—24no—
252Dic43⋊C4—24no—
253Dic43⋊C4—24no—
254Dic43⋊C4—24no—
255Dic43⋊C4C2×D414yes—
256Dic43⋊C4C2×D414yes—
257C4×Dic43—24no—
258C4×Dic43—24no—
259C4×Dic43—24no—
260C4×Dic43C2×D412yes—
261C4×Dic43C2×D412yes—
262C4×Dic43C2412yes—
263C4×Dic43C2412yes—
264C2×C43⋊C8—22no—
265C2×C43⋊C8—22no—
266C2×C43⋊C8C2412yes—
267C2×C43⋊C8C2412yes—
268C23×C43C22×D411yescharacteristic
269C22×D43—22no—
270C22×D43—42no—
271C22×D43—42no—
272C22×D43—42no—
273Q8×C43—24no—
274Q8×C43—22no—
275Q8×C43—22no—
276Q8×C43—22no—
277Q8×C43—42no—
278Q8×C43C2×#4114yes—
279C2×C4×C43—24no—
280C2×C4×C43—22no—
281C2×C4×C43—22no—
282C2×C4×C43—22no—
283C2×C4×C43—22no—
284C2×C4×C43—22no—
285C2×C4×C43—22no—
286C2×C4×C43—42no—
287C2×C4×C43—42no—
288C2×C4×C43—42no—
289C2×C4×C43C22×D412yes—
290C2×C4×C43C22×D412yes—
291C2×C4×C43C22×D411yescharacteristic
292C2×C4×C43C2×#4112yes—
293C2×C4×C432−1+412yes—
294C2×C4×C43C2511yescharacteristic
295C2×Dic43—22no—
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—22no—
299C2×Dic43—22no—
300C2×Dic43—22no—
301C2×Dic43—42no—
302C2×Dic43—42no—
303C2×Dic43—42no—
304C2×Dic43#13714yes—
305C2×Dic43C22×D412yes—
306C2×Dic43C22×D412yes—
307C2×Dic43C22×D412yes—
308C2×Dic43C22×D412yes—
309D172—22no—
310D172—22no—
311D172—42no—
312C4×D43—48no—
313Dic86—28no—
314Dic86—22no—
315Dic86—22no—
316Dic86—42no—
317Dic86—84no—
318Dic86—84no—
319Dic86—84no—
320C8×C43—22no—
321C8×C43—22no—
322C43⋊C8—22no—
323C43⋊C8—22no—
324C2×#3369—431nomaximal, Sylow
325C22×C43#54812yes—
326C22×C43C2×#13712yes—
327C22×C43#57712yes—
328C22×C43C23×D411yescharacteristic
329C2×D43—42no—
330C2×D43—42no—
331C2×D43—42no—
332C2×D43—84no—
333C4×C43—24no—
334C4×C43—22no—
335C4×C43—22no—
336C4×C43—42no—
337C4×C43—42no—
338C4×C43—42no—
339C4×C43#54812yes—
340C4×C43C22×#4111yescharacteristic
341C4×C43C2×2−1+411yescharacteristic
342Dic43—22no—
343Dic43—22no—
344Dic43—22no—
345Dic43—42no—
346Dic43—42no—
347Dic43—42no—
348Dic43C2×#13714yes—
349C2×Q82—431no—
350C2×#556—431no—
351#3369—4316no—
352C2×#489—431no—
353C2×#489—431no—
354C2×#487—431no—
355C2×#475—431no—
356C2×#475—431no—
357C2×#476—431no—
358C2×#464—431no—
359C2×#464—431no—
360C2×#462—431no—
361C2×#446—431no—
362C2×#441—431no—
363C2×#441D4311yescharacteristic, complemented
364C2×C4×SD16—431no—
365C2×C43#336914yescomplemented
366C2×C43C2×#54811yescharacteristic
367C2×C43C22×#13711yescharacteristic
368C2×C43C2×#57711yescharacteristic
369D43—82no—
370C22×Q16—431no—
371C22×Q16C2×D4311yescharacteristic
372C22×SD16—431no—
373Q82—438no—
374Q82—864no—
375#556—438no—
376#556—864no—
377C2×C4⋊Q8—431no—
378C2×C4⋊Q8—431no—
379C2×C4⋊Q8—431no—
380C2×C4⋊Q8—431no—
381C2×C4⋊Q8—861no—
382C2×C4⋊Q8—861no—
383C2×C4⋊Q8—861no—
384C2×#126—861no—
385C2×#126—861no—
386C2×#124—431no—
387C2×#124—431no—
388C2×C22⋊Q8—861no—
389C2×C4×Q8—431no—
390C2×C4×Q8—431no—
391C2×C4×Q8—431no—
392C2×C4×Q8—431no—
393C2×C4×Q8—861no—
394C2×C4×Q8C2×D4311yescharacteristic
395C2×C4×Q8C2×D4311yescharacteristic
396C2×C4×D4—431no—
397C2×#117—861no—
398#489—438no—
399#489—438no—
400#487—438no—
401#476—438no—
402#475—438no—
403#475—438no—
404#464—438no—
405#464—438no—
406#462—438no—
407#446—438no—
408#441—438no—
409#441C2×D4318yescomplemented
410C4×SD16—438no—
411C2×#106—431no—
412C2×#106—431no—
413C2×#106C2×D4311yescharacteristic
414C2×C4⋊C8—431no—
415C2×C4⋊C8—431no—
416C2×C4⋊C8—431no—
417C2×#103—431no—
418C2×#103—431no—
419C2×#103—431no—
420C2×#103—431no—
421C2×#103—431no—
422C2×#103C2×D4311yescharacteristic
423C2×#103C2×D4311yescharacteristic
424C2×#102—431no—
425C2×#102—431no—
426C2×#102—431no—
427C2×#97—431no—
428C2×#97C2×D4311yescharacteristic
429C2×C4×C8—431no—
430C43C2×#336911yescharacteristic, complemented, Sylow
431C22×Q8—431no—
432C22×Q8—431no—
433C22×Q8—861no—
434C22×Q8—861no—
435C22×Q8—861no—
436C22×Q8C22×D4311yescharacteristic
437C22×Q8C22×D4311yescharacteristic
438C22×D4—431no—
439C23×C4—861no—
440C2×Q16—24no—
441C2×Q16—434no—
442C2×Q16—864no—
443C2×Q16C22×D4314yes—
444C2×SD16—434no—
445C2×SD16—864no—
446C22×C8—431no—
447C22×C8—431no—
448C22×C8C22×D4311yescharacteristic
449C22×C8C22×D4311yescharacteristic
450C4⋊Q8—434no—
451C4⋊Q8—434no—
452C4⋊Q8—434no—
453C4⋊Q8—434no—
454C4⋊Q8—868no—
455C4⋊Q8—862no—
456C4⋊Q8—862no—
457C4⋊Q8—862no—
458C4⋊Q8—868no—
459C4⋊Q8—868no—
460C4⋊Q8—862no—
461#126—868no—
462#126—868no—
463#124—434no—
464#124—434no—
465#124—862no—
466#124—862no—
467C22⋊Q8—868no—
468C4×Q8—22no—
469C4×Q8—22no—
470C4×Q8—434no—
471C4×Q8—434no—
472C4×Q8—434no—
473C4×Q8—434no—
474C4×Q8—434no—
475C4×Q8—868no—
476C4×Q8—862no—
477C4×Q8—862no—
478C4×Q8—862no—
479C4×Q8C22×D4314yes—
480C4×Q8C22×D4314yes—
481C4×D4—434no—
482C4×D4—862no—
483#117—868no—
484C2×C4⋊C4—21no—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—431no—
487C2×C4⋊C4—431no—
488C2×C4⋊C4—431no—
489C2×C4⋊C4—431no—
490C2×C4⋊C4—431no—
491C2×C4⋊C4—861no—
492C2×C4⋊C4—861no—
493C2×C4⋊C4—861no—
494C2×C4⋊C4—861no—
495C2×C4⋊C4—861no—
496C2×C4⋊C4—861no—
497C2×C4⋊C4—861no—
498C2×C4⋊C4—861no—
499C2×C4⋊C4C22×D4311yescharacteristic
500C2×C4⋊C4C22×D4311yescharacteristic
501C2×C22⋊C4—861no—
502C2×C22⋊C4—861no—
503C2×C22⋊C4—861no—
504C2×C22⋊C4—861no—
505C2×C22⋊C4—861no—
506C2×C42—21no—
507C2×C42—21no—
508C2×C42—431no—
509C2×C42—431no—
510C2×C42—861no—
511C2×C42—861no—
512C2×C42—861no—
513C2×C42C22×D4311yescharacteristic
514#106—434no—
515#106—434no—
516#106C22×D4314yes—
517C4⋊C8—434no—
518C4⋊C8—434no—
519C4⋊C8—434no—
520#103—434no—
521#103—434no—
522#103—434no—
523#103—434no—
524#103—434no—
525#103C22×D4314yes—
526#103C22×D4314yes—
527#102—434no—
528#102—434no—
529#102—434no—
530#97—434no—
531#97C22×D4314yes—
532C4×C8—434no—
533C24—861no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—22no—
539C2×Q8—434no—
540C2×Q8—432no—
541C2×Q8—864no—
542C2×Q8—864no—
543C2×Q8—864no—
544C2×Q8—864no—
545C2×Q8—861no—
546C2×Q8—862no—
547C2×Q8—862no—
548C2×Q8—3442no—
549C2×Q8—3442no—
550C2×Q8—3442no—
551C2×Q8#1062189814yes—
552C2×Q8C23×D4312yes—
553C2×Q8C23×D4312yes—
554C2×D4—432no—
555C2×D4—861no—
556C2×D4—862no—
557C2×D4—862no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—431no—
563C22×C4—431no—
564C22×C4—431no—
565C22×C4—431no—
566C22×C4—864no—
567C22×C4—861no—
568C22×C4—861no—
569C22×C4—861no—
570C22×C4—1724no—
571C22×C4D4×D4311yescharacteristic
572C22×C4D4×D4311yescharacteristic
573C22×C4C23×D4311yescharacteristic
574Q16—28no—
575Q16—868no—
576SD16—868no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—432no—
580C2×C8—432no—
581C2×C8—862no—
582C2×C8—862no—
583C2×C8C23×D4312yes—
584C2×C8C23×D4312yes—
585C4⋊C4—24no—
586C4⋊C4—24no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—434no—
590C4⋊C4—434no—
591C4⋊C4—434no—
592C4⋊C4—432no—
593C4⋊C4—432no—
594C4⋊C4—864no—
595C4⋊C4—864no—
596C4⋊C4—864no—
597C4⋊C4—864no—
598C4⋊C4—864no—
599C4⋊C4—864no—
600C4⋊C4—864no—
601C4⋊C4—861no—
602C4⋊C4—861no—
603C4⋊C4—864no—
604C4⋊C4C23×D4312yes—
605C4⋊C4C23×D4312yes—
606C22⋊C4—864no—
607C22⋊C4—864no—
608C22⋊C4—864no—
609C22⋊C4—864no—
610C22⋊C4—864no—
611C42—24no—
612C42—24no—
613C42—432no—
614C42—432no—
615C42—432no—
616C42—432no—
617C42—864no—
618C42—864no—
619C42—864no—
620C42D4×D4312yes—
621C42C23×D4312yes—
622C23—862no—
623C23—1722no—
624C23—1722no—
625C23—1722no—
626C23C2×D4×D4311yescharacteristic
627Q8—24no—
628Q8—22no—
629Q8—22no—
630Q8—22no—
631Q8—42no—
632Q8—868no—
633Q8—862no—
634Q8—862no—
635Q8—3444no—
636Q8—3444no—
637Q8—3444no—
638Q8—1722no—
639Q8C2×#1062189814yes—
640D4—862no—
641D4—862no—
642D4—1722no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—434no—
654C2×C4—432no—
655C2×C4—432no—
656C2×C4—432no—
657C2×C4—432no—
658C2×C4—862no—
659C2×C4—862no—
660C2×C4—862no—
661C2×C4—862no—
662C2×C4—862no—
663C2×C4—862no—
664C2×C4—1728no—
665C2×C4—1722no—
666C2×C4—1722no—
667C2×C4—1722no—
668C2×C4C2×D4×D4312yes—
669C2×C4C2×D4×D4312yes—
670C2×C4C2×D4×D4311yescharacteristic
671C2×C4C2×#1062189812yes—
672C2×C4#1306337212yes—
673C2×C4C24×D4311yescharacteristic
674C8—22no—
675C8—22no—
676C8—862no—
677C8—862no—
678C22—3444no—
679C22—1722no—
680C22—1722no—
681C22—1722no—
682C22#1458355812yes—
683C22#137×D4312yes—
684C22#1458370812yes—
685C22C22×D4×D4311yescharacteristic
686C4—22no—
687C4—24no—
688C4—22no—
689C4—42no—
690C4—42no—
691C4—42no—
692C4—434no—
693C4—862no—
694C4—862no—
695C4—862no—
696C4—1722no—
697C4—1722no—
698C4—1722no—
699C4#1458355812yes—
700C4C22×#1062189811yescharacteristic
701C4C2×#1306337211yescharacteristic
702C2—3442no—
703C2#1914733614yesdirect product factor
704C2C2×#1458355811yescharacteristic
705C2C2×#137×D4311yescharacteristic
706C2C2×#1458370811yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#441C2
socleC23×C43C22×D4
prime radicalC22×D172C23
hypercenterC2×#441D43
hypocenterC43C2×#3369
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#441

Complements

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

NH ≅ G/Ntype
1. C2×Q8×Dic86C2semidirect
3. #19147336C2direct (N × H)
6. C2×#14583248C2semidirect
7. C2×#14583184C2semidirect
8. C2×#14583183C2semidirect
12. C2×#14583107C2semidirect
13. C2×#14583027C2semidirect
14. C2×#14583003C2semidirect
16. C2×C43×#441C2semidirect
20. Q8×Dic86C22semidirect
44. #14583248C22semidirect
46. #14583184C22semidirect
47. #14583183C22semidirect
50. #14583107C22semidirect
51. #14583027C22semidirect
52. #14583003C22semidirect
72. C43×#441C22semidirect
363. C2×#441D43semidirect
365. C2×C43#3369semidirect
409. #441C2×D43semidirect
430. C43C2×#3369semidirect
703. C2#19147336direct (N × H)

Maximal subgroups

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

subgroupindex
C2×Q8×Dic862
C2×#145836212
#191473362
C2×#145832602
C2×#145832592
C2×#145832482
C2×#145831842
C2×#145831832
C2×#145831882
C2×#145831232
C2×#145831212
C2×#145831072
C2×#145830272
C2×#145830032
C2×#145829842
C2×C43×#4412
C2×#336943