Finite Group Databasebeta

← C2×#19140646 #25263073

Subgroups — C2×#19140646 #25263073

Order 11008.

2070 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19140646C2116yesmaximal, direct product factor
2C2×#14582841C211yesmaximal, characteristic, complemented
3C2×#14582838C211yesmaximal, characteristic, complemented
4C2×#14582837C211yesmaximal, characteristic, complemented
5C2×#14582832C211yesmaximal, characteristic, complemented
6C2×#14582824C211yesmaximal, characteristic
7C2×#14582824C211yesmaximal, characteristic
8C2×#14582824C211yesmaximal, characteristic
9C2×#14582795C211yesmaximal, characteristic, complemented
10C2×#14582786C211yesmaximal, characteristic, complemented
11C2×#14582785C211yesmaximal, characteristic, complemented
12C2×#14582780C211yesmaximal, characteristic, complemented
13C2×#14582771C211yesmaximal, characteristic
14C2×#14582771C211yesmaximal, characteristic
15C2×C22⋊C4×Dic43C211yesmaximal, characteristic
16C2×C43×#396C211yesmaximal, characteristic
17C24×Dic43C2211yescharacteristic
18C22×C4⋊Dic43C2211yescharacteristic
19C22×C4⋊Dic43C2211yescharacteristic
20C22×C4⋊Dic43C2211yescharacteristic
21C22×Dic43⋊C4C2211yescharacteristic
22C22×Dic43⋊C4C2211yescharacteristic
23C22×Dic43⋊C4C2211yescharacteristic
24C22×Dic43⋊C4C2211yescharacteristic
25C22×C22⋊Dic43C2211yescharacteristic
26C22×C22⋊Dic43C2211yescharacteristic
27C22×C22⋊Dic43C2211yescharacteristic
28C22×C4×Dic43C2211yescharacteristic
29C22×C4×Dic43C2211yescharacteristic
30#14582841C2218yescomplemented
31#14582838C2218yescomplemented
32#14582837C2218yescomplemented
33#14582832C2218yescomplemented
34#14582824C2218yes—
35#14582824C2218yes—
36#14582824C2218yes—
37#14582795C2218yescomplemented
38#14582786C2218yescomplemented
39#14582785C2218yescomplemented
40#14582780C2218yescomplemented
41#14582771C2218yes—
42#14582771C2218yes—
43C22⋊C4×Dic43C2218yes—
44C2×C43⋊#95C2211yescharacteristic
45C2×C43⋊#95C2211yescharacteristic
46C2×C43⋊#95C2211yescharacteristic
47C2×C43⋊#95C2211yescharacteristic
48C2×C43⋊#95C2211yescharacteristic
49C2×C43⋊#95C2211yescharacteristic
50C2×C43⋊#95C2211yescharacteristic
51C2×C43⋊#95C2211yescharacteristic
52C2×C43⋊#95C2211yescharacteristic
53C2×C43⋊#95C2211yescharacteristic
54C2×C43⋊#95C2211yescharacteristic
55C2×C43⋊#95C2211yescharacteristic
56C2×C43⋊#95C2211yescharacteristic
57C2×C43⋊#95C2211yescharacteristic
58C2×C43⋊#95C2211yescharacteristic
59C22×C4⋊C4×C43C2211yescharacteristic
60C22×C4⋊C4×C43C2211yescharacteristic
61C22×C4⋊C4×C43C2211yescharacteristic
62C22×C22⋊C4×C43C2211yescharacteristic
63C22×C22⋊C4×C43C2211yescharacteristic
64C22×C22⋊C4×C43C2211yescharacteristic
65C43×#396C2218yes—
66C2×#95×C43C2211yescharacteristic
67C23×Dic43—24no—
68C23×Dic43—42no—
69C23×Dic43—42no—
70C23×Dic43C2311yescharacteristic
71C23×Dic43C2311yescharacteristic
72C23×Dic43C2311yescharacteristic
73C23×Dic43C2311yescharacteristic
74C23×Dic43C2311yescharacteristic
75C23×Dic43C2311yescharacteristic
76C23×Dic43C2311yescharacteristic
77C23×Dic43C2311yescharacteristic
78C23×Dic43C2314yes—
79C2×C4⋊Dic43—24no—
80C2×C4⋊Dic43—42no—
81C2×C4⋊Dic43—42no—
82C2×C4⋊Dic43C2314yes—
83C2×C4⋊Dic43C2314yes—
84C2×C4⋊Dic43C2314yes—
85C2×Dic43⋊C4—24no—
86C2×Dic43⋊C4—24no—
87C2×Dic43⋊C4—42no—
88C2×Dic43⋊C4—42no—
89C2×Dic43⋊C4C2314yes—
90C2×Dic43⋊C4C2314yes—
91C2×Dic43⋊C4C2314yes—
92C2×Dic43⋊C4C2314yes—
93C2×C22⋊Dic43—24no—
94C2×C22⋊Dic43—24no—
95C2×C22⋊Dic43—24no—
96C2×C22⋊Dic43C2314yes—
97C2×C22⋊Dic43C2314yes—
98C2×C22⋊Dic43C2314yes—
99C2×C4×Dic43—42no—
100C2×C4×Dic43—42no—
101C2×C4×Dic43C2314yes—
102C2×C4×Dic43C2314yes—
103C43⋊#95C2314yes—
104C43⋊#95C2314yes—
105C43⋊#95C2314yes—
106C43⋊#95C2314yes—
107C43⋊#95C2314yes—
108C43⋊#95C2314yes—
109C43⋊#95C2314yes—
110C43⋊#95C2314yes—
111C43⋊#95C2314yes—
112C43⋊#95C2314yes—
113C43⋊#95C2314yes—
114C43⋊#95C2314yes—
115C43⋊#95C2314yes—
116C43⋊#95C2314yes—
117C43⋊#95C2314yes—
118C25×C43C2311yescharacteristic
119C23×C4×C43C2311yescharacteristic
120C23×C4×C43C2311yescharacteristic
121C23×C4×C43C2311yescharacteristic
122C23×C4×C43C2311yescharacteristic
123C23×C4×C43C2311yescharacteristic
124C23×C4×C43C2311yescharacteristic
125C2×C4⋊C4×C43—24no—
126C2×C4⋊C4×C43—42no—
127C2×C4⋊C4×C43—42no—
128C2×C4⋊C4×C43C2314yes—
129C2×C4⋊C4×C43C2314yes—
130C2×C4⋊C4×C43C2314yes—
131C2×C22⋊C4×C43—24no—
132C2×C22⋊C4×C43—42no—
133C2×C22⋊C4×C43—42no—
134C2×C22⋊C4×C43C2314yes—
135C2×C22⋊C4×C43C2314yes—
136C2×C22⋊C4×C43C2314yes—
137#95×C43C2314yes—
138C24×C43—22no—
139C24×C43—22no—
140C24×C43—22no—
141C24×C43—22no—
142C24×C43—22no—
143C24×C43—22no—
144C24×C43#4114yes—
145C24×C43C2412yes—
146C24×C43C2411yescharacteristic
147C22×C4×C43—22no—
148C22×C4×C43—22no—
149C22×C4×C43—22no—
150C22×C4×C43—22no—
151C22×C4×C43—22no—
152C22×C4×C43—22no—
153C22×C4×C43—22no—
154C22×C4×C43—22no—
155C22×C4×C43—22no—
156C22×C4×C43—22no—
157C22×C4×C43—22no—
158C22×C4×C43—22no—
159C22×C4×C43—22no—
160C22×C4×C43—22no—
161C22×C4×C43—22no—
162C22×C4×C43—22no—
163C22×C4×C43—22no—
164C22×C4×C43#4114yes—
165C22×C4×C43C2412yes—
166C22×C4×C43C2412yes—
167C22×C4×C43C2412yes—
168C22×C4×C43C2412yes—
169C22×C4×C43C2412yes—
170C22×C4×C43C2412yes—
171C22×Dic43—28no—
172C22×Dic43—22no—
173C22×Dic43—22no—
174C22×Dic43—22no—
175C22×Dic43—22no—
176C22×Dic43—22no—
177C22×Dic43—22no—
178C22×Dic43—22no—
179C22×Dic43—22no—
180C22×Dic43—22no—
181C22×Dic43—22no—
182C22×Dic43—22no—
183C22×Dic43—22no—
184C22×Dic43—22no—
185C22×Dic43—22no—
186C22×Dic43—22no—
187C22×Dic43—22no—
188C22×Dic43—22no—
189C22×Dic43—22no—
190C22×Dic43—22no—
191C22×Dic43—22no—
192C22×Dic43—22no—
193C22×Dic43—22no—
194C22×Dic43—22no—
195C22×Dic43—44no—
196C22×Dic43—44no—
197C22×Dic43—416no—
198C22×Dic43#4114yes—
199C22×Dic43C2412yes—
200C22×Dic43C2412yes—
201C22×Dic43C2412yes—
202C22×Dic43C2412yes—
203C22×Dic43C2412yes—
204C22×Dic43C2412yes—
205C22×Dic43C2412yes—
206C22×Dic43C2412yes—
207C4⋊C4×C43—28no—
208C4⋊C4×C43—44no—
209C4⋊C4×C43—44no—
210C22⋊C4×C43—28no—
211C22⋊C4×C43—44no—
212C22⋊C4×C43—44no—
213C22⋊Dic43—28no—
214C22⋊Dic43—28no—
215C22⋊Dic43—28no—
216C4⋊Dic43—28no—
217C4⋊Dic43—44no—
218C4⋊Dic43—44no—
219Dic43⋊C4—28no—
220Dic43⋊C4—28no—
221Dic43⋊C4—44no—
222Dic43⋊C4—44no—
223C4×Dic43—44no—
224C4×Dic43—44no—
225C23×C43—28no—
226C23×C43—28no—
227C23×C43—28no—
228C23×C43—22no—
229C23×C43—22no—
230C23×C43—22no—
231C23×C43—22no—
232C23×C43—22no—
233C23×C43—22no—
234C23×C43—44no—
235C23×C43—44no—
236C23×C43—44no—
237C23×C43—44no—
238C23×C43C2×#4112yes—
239C23×C43C2×#4112yes—
240C23×C43C2×#4114yes—
241C23×C43C2×#4112yes—
242C23×C43H(5,𝔽2)12yes—
243C23×C43H(5,𝔽2)12yes—
244C23×C432−1+412yes—
245C23×C432−1+412yes—
246C23×C43C2511yescharacteristic
247C2×C4×C43—28no—
248C2×C4×C43—22no—
249C2×C4×C43—22no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—22no—
265C2×C4×C43—44no—
266C2×C4×C43—44no—
267C2×C4×C43—44no—
268C2×C4×C43—44no—
269C2×C4×C43—44no—
270C2×C4×C43C2×#4114yes—
271C2×Dic43—28no—
272C2×Dic43—22no—
273C2×Dic43—22no—
274C2×Dic43—22no—
275C2×Dic43—22no—
276C2×Dic43—22no—
277C2×Dic43—22no—
278C2×Dic43—22no—
279C2×Dic43—22no—
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—22no—
283C2×Dic43—22no—
284C2×Dic43—22no—
285C2×Dic43—22no—
286C2×Dic43—22no—
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—22no—
295C2×Dic43—416no—
296C2×Dic43—44no—
297C2×Dic43—44no—
298C2×Dic43—44no—
299C2×Dic43—44no—
300C2×Dic43—44no—
301C2×Dic43—44no—
302C2×Dic43—44no—
303C2×Dic43C2×#4114yes—
304C2×#2652—431nomaximal, Sylow
305C22×C43—24no—
306C22×C43—24no—
307C22×C43—24no—
308C22×C43—416no—
309C22×C43—42no—
310C22×C43—42no—
311C22×C43—42no—
312C22×C43—42no—
313C22×C43#52914yes—
314C22×C43#53814yes—
315C22×C43#53914yes—
316C22×C43#53914yes—
317C22×C43#53914yes—
318C22×C43#54114yes—
319C22×C43#54214yes—
320C22×C43C22×#4111yescharacteristic
321C22×C43C22×#4111yescharacteristic
322C22×C43C22×#4111yescharacteristic
323C22×C43C2×H(5,𝔽2)11yescharacteristic
324C22×C43C2×H(5,𝔽2)11yescharacteristic
325C22×C43C2×2−1+411yescharacteristic
326C22×C43C2×2−1+411yescharacteristic
327C4×C43—24no—
328C4×C43—42no—
329C4×C43—42no—
330C4×C43—42no—
331C4×C43—42no—
332C4×C43—42no—
333Dic43—24no—
334Dic43—42no—
335Dic43—42no—
336Dic43—42no—
337Dic43—42no—
338Dic43—42no—
339Dic43—42no—
340Dic43—42no—
341#2652—4316no—
342C2×#400—431no—
343C2×#400—431no—
344C2×#400—431no—
345C2×#398—431no—
346C2×#397—431no—
347C2×#397—431no—
348C2×#397—431no—
349C2×#396D4311yescharacteristic
350C2×#389—431no—
351C2×#387—431no—
352C2×#387—431no—
353C2×#387—431no—
354C2×#385—431no—
355C2×#385—431no—
356C2×C4×C22⋊C4—431no—
357C2×C43—44no—
358C2×C43#265218yescomplemented
359C2×C43C2×#52911yescharacteristic
360C2×C43C2×#53811yescharacteristic
361C2×C43C2×#53911yescharacteristic
362C2×C43C2×#53911yescharacteristic
363C2×C43C2×#53911yescharacteristic
364C2×C43C2×#54111yescharacteristic
365C2×C43C2×#54211yescharacteristic
366C24×C4—431no—
367C22×C4⋊C4—431no—
368C22×C4⋊C4—431no—
369C22×C4⋊C4—431no—
370C22×C4⋊C4—431no—
371C22×C4⋊C4—431no—
372C22×C4⋊C4—431no—
373C22×C4⋊C4—431no—
374C22×C4⋊C4C2×D4311yescharacteristic
375C22×C4⋊C4C2×D4311yescharacteristic
376C22×C4⋊C4C2×D4311yescharacteristic
377C22×C22⋊C4—431no—
378C22×C22⋊C4—431no—
379C22×C22⋊C4—431no—
380C22×C22⋊C4C2×D4311yescharacteristic
381C22×C22⋊C4C2×D4311yescharacteristic
382C22×C22⋊C4C2×D4311yescharacteristic
383C22×C42—431no—
384C22×C42—431no—
385#400—438no—
386#400—438no—
387#400—438no—
388#398—438no—
389#397—438no—
390#397—438no—
391#397—438no—
392#396C2×D4318yes—
393#389—438no—
394#387—438no—
395#387—438no—
396#387—438no—
397#385—438no—
398#385—438no—
399C4×C22⋊C4—438no—
400C2×#95—431no—
401C2×#95—431no—
402C2×#95—431no—
403C2×#95—431no—
404C2×#95—431no—
405C2×#95—431no—
406C2×#95—431no—
407C2×#95—431no—
408C2×#95—431no—
409C2×#95—431no—
410C2×#95—431no—
411C2×#95—431no—
412C2×#95—431no—
413C2×#95—431no—
414C2×#95—431no—
415C2×#95C2×D4311yescharacteristic
416C43C2×#265211yescharacteristic, complemented, Sylow
417C25C22×D4311yescharacteristic
418C23×C4—431no—
419C23×C4—431no—
420C23×C4—431no—
421C23×C4—431no—
422C23×C4—431no—
423C23×C4—431no—
424C23×C4—431no—
425C23×C4—431no—
426C23×C4—434no—
427C23×C4—864no—
428C23×C4—1722no—
429C23×C4—1722no—
430C23×C4C22×D4311yescharacteristic
431C23×C4C22×D4311yescharacteristic
432C23×C4C22×D4311yescharacteristic
433C23×C4C22×D4311yescharacteristic
434C23×C4C22×D4311yescharacteristic
435C23×C4C22×D4311yescharacteristic
436C2×C4⋊C4—24no—
437C2×C4⋊C4—42no—
438C2×C4⋊C4—42no—
439C2×C4⋊C4—434no—
440C2×C4⋊C4—434no—
441C2×C4⋊C4—434no—
442C2×C4⋊C4—434no—
443C2×C4⋊C4—434no—
444C2×C4⋊C4—434no—
445C2×C4⋊C4—434no—
446C2×C4⋊C4—864no—
447C2×C4⋊C4—864no—
448C2×C4⋊C4—864no—
449C2×C4⋊C4—1722no—
450C2×C4⋊C4—1722no—
451C2×C4⋊C4—1722no—
452C2×C4⋊C4—1722no—
453C2×C4⋊C4C22×D4314yes—
454C2×C4⋊C4C22×D4314yes—
455C2×C4⋊C4C22×D4314yes—
456C2×C22⋊C4—24no—
457C2×C22⋊C4—42no—
458C2×C22⋊C4—42no—
459C2×C22⋊C4—434no—
460C2×C22⋊C4—434no—
461C2×C22⋊C4—434no—
462C2×C22⋊C4—864no—
463C2×C22⋊C4—864no—
464C2×C22⋊C4—864no—
465C2×C22⋊C4C22×D4314yes—
466C2×C22⋊C4C22×D4314yes—
467C2×C22⋊C4C22×D4314yes—
468C2×C42—434no—
469C2×C42—434no—
470C2×C42—1722no—
471C2×C42—1722no—
472#95—434no—
473#95—434no—
474#95—434no—
475#95—434no—
476#95—434no—
477#95—434no—
478#95—434no—
479#95—434no—
480#95—434no—
481#95—434no—
482#95—434no—
483#95—434no—
484#95—434no—
485#95—434no—
486#95—434no—
487#95C22×D4314yes—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24#1062190214yes—
495C24C23×D4312yes—
496C24C23×D4311yescharacteristic
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—434no—
515C22×C4—432no—
516C22×C4—432no—
517C22×C4—432no—
518C22×C4—432no—
519C22×C4—432no—
520C22×C4—432no—
521C22×C4—432no—
522C22×C4—432no—
523C22×C4—868no—
524C22×C4—862no—
525C22×C4—862no—
526C22×C4—862no—
527C22×C4—862no—
528C22×C4—862no—
529C22×C4—862no—
530C22×C4—862no—
531C22×C4—862no—
532C22×C4—862no—
533C22×C4—862no—
534C22×C4—862no—
535C22×C4—862no—
536C22×C4—862no—
537C22×C4—862no—
538C22×C4—862no—
539C22×C4—862no—
540C22×C4—862no—
541C22×C4—862no—
542C22×C4—862no—
543C22×C4—862no—
544C22×C4—862no—
545C22×C4—862no—
546C22×C4—862no—
547C22×C4—1724no—
548C22×C4—1724no—
549C22×C4—17216no—
550C22×C4#1062190014yes—
551C22×C4C23×D4312yes—
552C22×C4C23×D4312yes—
553C22×C4C23×D4312yes—
554C22×C4C23×D4312yes—
555C22×C4C23×D4312yes—
556C22×C4C23×D4312yes—
557C4⋊C4—28no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—868no—
561C4⋊C4—868no—
562C4⋊C4—868no—
563C4⋊C4—1724no—
564C4⋊C4—1724no—
565C4⋊C4—1724no—
566C4⋊C4—1724no—
567C22⋊C4—28no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—868no—
571C22⋊C4—868no—
572C22⋊C4—868no—
573C42—1724no—
574C42—1724no—
575C23—28no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—28no—
583C23—28no—
584C23—44no—
585C23—44no—
586C23—44no—
587C23—44no—
588C23#41×D4312yes—
589C23C2×#1062190012yes—
590C23C2×#1062190214yes—
591C23C2×#1062190212yes—
592C23#1306337012yes—
593C23#1306337012yes—
594C23#1306337212yes—
595C23#1306337212yes—
596C23C24×D4311yescharacteristic
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—28no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—44no—
620C2×C4—434no—
621C2×C4—862no—
622C2×C4—862no—
623C2×C4—868no—
624C2×C4—862no—
625C2×C4—862no—
626C2×C4—862no—
627C2×C4—862no—
628C2×C4—862no—
629C2×C4—862no—
630C2×C4—862no—
631C2×C4—862no—
632C2×C4—862no—
633C2×C4—862no—
634C2×C4—862no—
635C2×C4—862no—
636C2×C4—862no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—862no—
640C2×C4—862no—
641C2×C4—862no—
642C2×C4—862no—
643C2×C4—862no—
644C2×C4—862no—
645C2×C4—17216no—
646C2×C4—1724no—
647C2×C4—1724no—
648C2×C4—1724no—
649C2×C4—1724no—
650C2×C4—1724no—
651C2×C4—1724no—
652C2×C4—1724no—
653C2×C4C2×#1062190014yes—
654C22—24no—
655C22—24no—
656C22—24no—
657C22—416no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22#1458343514yes—
663C22#1458348114yes—
664C22#1458349414yes—
665C22#1458349814yes—
666C22#1458349814yes—
667C22#1458350614yes—
668C22#1458351614yes—
669C22C2×#41×D4311yescharacteristic
670C22C22×#1062190011yescharacteristic
671C22C22×#1062190211yescharacteristic
672C22C2×#1306337011yescharacteristic
673C22C2×#1306337011yescharacteristic
674C22C2×#1306337211yescharacteristic
675C22C2×#1306337211yescharacteristic
676C4—24no—
677C4—42no—
678C4—42no—
679C4—42no—
680C4—42no—
681C4—42no—
682C4—864no—
683C4—1722no—
684C4—1722no—
685C4—1722no—
686C4—1722no—
687C4—1722no—
688C4—1722no—
689C4—1722no—
690C2—44no—
691C2#1914064618yesdirect product factor
692C2C2×#1458343511yescharacteristic
693C2C2×#1458348111yescharacteristic
694C2C2×#1458349411yescharacteristic
695C2C2×#1458349811yescharacteristic
696C2C2×#1458349811yescharacteristic
697C2C2×#1458350611yescharacteristic
698C2C2×#1458351611yescharacteristic
subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#396C2
socleC24×C43C24
prime radicalC25×C43C23
hypercenterC2×#396D43
hypocenterC43C2×#2652
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#396

Complements

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

NH ≅ G/Ntype
1. #19140646C2direct (N × H)
2. C2×#14582841C2semidirect
3. C2×#14582838C2semidirect
4. C2×#14582837C2semidirect
5. C2×#14582832C2semidirect
9. C2×#14582795C2semidirect
10. C2×#14582786C2semidirect
11. C2×#14582785C2semidirect
12. C2×#14582780C2semidirect
30. #14582841C22semidirect
31. #14582838C22semidirect
32. #14582837C22semidirect
33. #14582832C22semidirect
37. #14582795C22semidirect
38. #14582786C22semidirect
39. #14582785C22semidirect
40. #14582780C22semidirect
358. C2×C43#2652semidirect
416. C43C2×#2652semidirect
691. C2#19140646direct (N × H)

Maximal subgroups

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

subgroupindex
#191406462
C2×#145828412
C2×#145828382
C2×#145828372
C2×#145828322
C2×#145828242
C2×#145827952
C2×#145827862
C2×#145827852
C2×#145827802
C2×#145827712
C2×C22⋊C4×Dic432
C2×C43×#3962
C2×#265243