Finite Group Databasebeta

← C2×#20245034 #26369005

Subgroups — C2×#20245034 #26369005

Order 12032.

1494 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13093941C211yesmaximal, characteristic, complemented
2C22×#13093939C211yesmaximal, characteristic, complemented
3#20245034C218yesmaximal, direct product factor
4C2×#15688913C212yesmaximal, complemented
5C2×#15688910C212yesmaximal, complemented
6C2×C47×#534C211yesmaximal, characteristic
7C22×#10625329—21no—
8C22×C22⋊Dic47—21no—
9C2×#13093941—21no—
10C2×#13093941—22no—
11C2×#13093941C2212yes—
12C2×#13093941C2214yescomplemented
13C2×#13093939—21no—
14C2×#13093939—22no—
15C2×#13093939C2212yes—
16C2×#13093939C2214yescomplemented
17#15688913C2218yescomplemented
18#15688910C2218yescomplemented
19C23×D4×C47C411yescharacteristic, complemented
20C23×D4×C47C2211yescharacteristic
21C47×#534—22no—
22C47×#534—22no—
23C47×#534C414yescomplemented
24C47×#534C2214yes—
25C2×#123×C47—21no—
26C2×#123×C47C411yescharacteristic, complemented
27C2×#123×C47C2211yescharacteristic
28C2×#121×C47—21no—
29C2×#121×C47—21no—
30C2×#120×C47—21no—
31C2×#120×C47C411yescharacteristic, complemented
32C2×#120×C47C2211yescharacteristic
33C22×C22⋊C4×C47C411yescharacteristic, complemented
34C23×Dic47—41no—
35C2×#10625329—22no—
36C2×#10625329—24no—
37C2×#10625329—41no—
38C2×#10625329—42no—
39C22×C47⋊C8—41no—
40C2×C22⋊Dic47—22no—
41C2×C22⋊Dic47—24no—
42C2×C22⋊Dic47—42no—
43C2×C22⋊Dic47—41no—
44#13093941—22no—
45#13093941—24no—
46#13093941C2314yes—
47#13093939—22no—
48#13093939—24no—
49#13093939C2314yes—
50C25×C47C2×C411yescharacteristic
51C25×C47C2×C411yescharacteristic, complemented
52C25×C47D411yescharacteristic
53C22×D4×C47—21no—
54C22×D4×C47—21no—
55C22×D4×C47—22no—
56C22×D4×C47—21no—
57C22×D4×C47—21no—
58C22×D4×C47—41no—
59C22×D4×C47—41no—
60C22×D4×C47—42no—
61C22×D4×C47—41no—
62C22×D4×C47—41no—
63C22×D4×C47—42no—
64C22×D4×C47C2×C411yescharacteristic
65C22×D4×C47C2×C412yes—
66C22×D4×C47C2×C414yescomplemented
67C22×D4×C47D411yescharacteristic
68C22×D4×C47D412yes—
69C22×D4×C47D411yescharacteristic
70C22×D4×C47D412yes—
71C22×D4×C47C2311yescharacteristic
72C22×D4×C47C2312yes—
73C23×C4×C47—21no—
74C23×C4×C47C2×C411yescharacteristic, complemented
75C23×C4×C47D411yescharacteristic
76#123×C47—22no—
77#123×C47—21no—
78#123×C47—21no—
79#123×C47—24no—
80#123×C47—24no—
81#123×C47C2×C414yescomplemented
82#123×C47C2×C412yescomplemented
83#123×C47C2312yes—
84#121×C47—24no—
85#121×C47—24no—
86#121×C47—24no—
87#121×C47—24no—
88#120×C47—24no—
89#120×C47—24no—
90#120×C47—22no—
91#120×C47—21no—
92#120×C47—21no—
93#120×C47C2×C414yescomplemented
94#120×C47C2×C412yescomplemented
95#120×C47C2312yes—
96C2×C4⋊C4×C47—21no—
97C2×C4⋊C4×C47—21no—
98C2×C22⋊C4×C47—21no—
99C2×C22⋊C4×C47—22no—
100C2×C22⋊C4×C47—21no—
101C2×C22⋊C4×C47—21no—
102C2×C22⋊C4×C47—21no—
103C2×C22⋊C4×C47—21no—
104C2×C22⋊C4×C47C2×C411yescharacteristic, complemented
105C2×C22⋊C4×C47C2×C411yescharacteristic, complemented
106C2×C22⋊C4×C47C2×C414yescomplemented
107C24×C47—21no—
108C24×C47—21no—
109C24×C47—21no—
110C24×C47—22no—
111C24×C47—21no—
112C24×C47—22no—
113C24×C47—21no—
114C24×C47—21no—
115C24×C47—41no—
116C24×C47—41no—
117C24×C47—82no—
118C24×C47—82no—
119C24×C47—82no—
120C24×C47C22⋊C411yescharacteristic
121C24×C47C22⋊C411yescharacteristic
122C24×C47C22⋊C412yes—
123C24×C47C22⋊C412yes—
124C24×C47C22⋊C411yescharacteristic
125C24×C47C22×C411yescharacteristic
126C24×C47C22×C412yes—
127C24×C47C22×C412yescomplemented
128C24×C47C2×D411yescharacteristic
129C24×C47C2×D412yes—
130C2×D4×C47—24no—
131C2×D4×C47—24no—
132C2×D4×C47—22no—
133C2×D4×C47—24no—
134C2×D4×C47—22no—
135C2×D4×C47—41no—
136C2×D4×C47—41no—
137C2×D4×C47—42no—
138C2×D4×C47—42no—
139C2×D4×C47—41no—
140C2×D4×C47—42no—
141C2×D4×C47—41no—
142C2×D4×C47—42no—
143C2×D4×C47—41no—
144C2×D4×C47—42no—
145C2×D4×C47—41no—
146C2×D4×C47—42no—
147C2×D4×C47—41no—
148C2×D4×C47—42no—
149C2×D4×C47—42no—
150C2×D4×C47—41no—
151C2×D4×C47—44no—
152C2×D4×C47—44no—
153C2×D4×C47—42no—
154C2×D4×C47—42no—
155C2×D4×C47—41no—
156C2×D4×C47—41no—
157C2×D4×C47—42no—
158C2×D4×C47—44no—
159C2×D4×C47—44no—
160C2×D4×C47—82no—
161C2×D4×C47—82no—
162C2×D4×C47C22⋊C412yes—
163C2×D4×C47C22⋊C412yes—
164C2×D4×C47C22⋊C412yes—
165C2×D4×C47C22×C412yes—
166C2×D4×C47C22×C411yescharacteristic
167C2×D4×C47C2×D411yescharacteristic
168C2×D4×C47C2×D412yes—
169C2×D4×C47C2×D411yescharacteristic
170C2×D4×C47C2×D412yes—
171C2×D4×C47C2411yescharacteristic
172C22×C4×C47—21no—
173C22×C4×C47—21no—
174C22×C4×C47—22no—
175C22×C4×C47—21no—
176C22×C4×C47—21no—
177C22×C4×C47—21no—
178C22×C4×C47—21no—
179C22×C4×C47—24no—
180C22×C4×C47—41no—
181C22×C4×C47—41no—
182C22×C4×C47—82no—
183C22×C4×C47C22⋊C411yescharacteristic
184C22×C4×C47C22⋊C412yes—
185C22×C4×C47C22×C412yescomplemented
186C22×C4×C47C2×D411yescharacteristic
187C22×C4×C47C2×D412yes—
188C22×Dic47—42no—
189C22×Dic47—44no—
190C22×Dic47—84no—
191C4⋊C4×C47—24no—
192C4⋊C4×C47—22no—
193C4⋊C4×C47—22no—
194C22⋊C4×C47—21no—
195C22⋊C4×C47—21no—
196C22⋊C4×C47—24no—
197C22⋊C4×C47—24no—
198C22⋊C4×C47—22no—
199C22⋊C4×C47—22no—
200C22⋊C4×C47—24no—
201C22⋊C4×C47—22no—
202C22⋊C4×C47—22no—
203C22⋊C4×C47C22×C412yescomplemented
204C22⋊C4×C47C22×C412yescomplemented
205C22⋊Dic47—24no—
206C22⋊Dic47—42no—
207C22⋊Dic47—44no—
208#10625329—24no—
209#10625329—42no—
210#10625329—44no—
211C2×C47⋊C8—42no—
212C2×C47⋊C8—44no—
213C23×C47—22no—
214C23×C47—21no—
215C23×C47—21no—
216C23×C47—21no—
217C23×C47—21no—
218C23×C47—21no—
219C23×C47—22no—
220C23×C47—21no—
221C23×C47—21no—
222C23×C47—22no—
223C23×C47—22no—
224C23×C47—22no—
225C23×C47—22no—
226C23×C47—22no—
227C23×C47—21no—
228C23×C47—22no—
229C23×C47—22no—
230C23×C47—42no—
231C23×C47—42no—
232C23×C47—42no—
233C23×C47—44no—
234C23×C47—42no—
235C23×C47—42no—
236C23×C47—42no—
237C23×C47—42no—
238C23×C47—42no—
239C23×C47—42no—
240C23×C47—41no—
241C23×C47—41no—
242C23×C47—82no—
243C23×C47—82no—
244C23×C47—82no—
245C23×C47—82no—
246C23×C47—82no—
247C23×C47—82no—
248C23×C47—82no—
249C23×C47—82no—
250C23×C47—84no—
251C23×C47—84no—
252C23×C47—82no—
253C23×C47—84no—
254C23×C47—84no—
255C23×C47#9911yescharacteristic
256C23×C47#9911yescharacteristic
257C23×C47#9912yes—
258C23×C47C2×C22⋊C411yescharacteristic
259C23×C47C2×C22⋊C411yescharacteristic
260C23×C47C2×C22⋊C412yes—
261C23×C47C2×C22⋊C411yescharacteristic
262C23×C47C2×C22⋊C412yes—
263C23×C47C2×C22⋊C412yes—
264C23×C47C23×C411yescharacteristic
265C23×C47C22×D411yescharacteristic
266D4×C47—42no—
267D4×C47—42no—
268D4×C47—42no—
269D4×C47—42no—
270D4×C47—41no—
271D4×C47—41no—
272D4×C47—42no—
273D4×C47—41no—
274D4×C47—42no—
275D4×C47—41no—
276D4×C47—48no—
277D4×C47—44no—
278D4×C47—44no—
279D4×C47—84no—
280D4×C47—82no—
281D4×C47—82no—
282C2×C4×C47—22no—
283C2×C4×C47—21no—
284C2×C4×C47—21no—
285C2×C4×C47—22no—
286C2×C4×C47—21no—
287C2×C4×C47—22no—
288C2×C4×C47—22no—
289C2×C4×C47—21no—
290C2×C4×C47—22no—
291C2×C4×C47—22no—
292C2×C4×C47—22no—
293C2×C4×C47—42no—
294C2×C4×C47—42no—
295C2×C4×C47—42no—
296C2×C4×C47—41no—
297C2×C4×C47—41no—
298C2×C4×C47—42no—
299C2×C4×C47—84no—
300C2×C4×C47C2×C22⋊C412yes—
301C2×C4×C47C2×C22⋊C411yescharacteristic
302C2×C4×C47C22×D411yescharacteristic
303C2×Dic47—44no—
304C2×Dic47—88no—
305C2×Dic47—84no—
306C47⋊C8—44no—
307C2×#2121—471nomaximal, Sylow
308C22×C47—22no—
309C22×C47—22no—
310C22×C47—22no—
311C22×C47—21no—
312C22×C47—21no—
313C22×C47—21no—
314C22×C47—22no—
315C22×C47—22no—
316C22×C47—21no—
317C22×C47—42no—
318C22×C47—42no—
319C22×C47—42no—
320C22×C47—42no—
321C22×C47—41no—
322C22×C47—41no—
323C22×C47—41no—
324C22×C47—41no—
325C22×C47—44no—
326C22×C47—42no—
327C22×C47—44no—
328C22×C47—42no—
329C22×C47—42no—
330C22×C47—42no—
331C22×C47—42no—
332C22×C47—42no—
333C22×C47—42no—
334C22×C47—42no—
335C22×C47—42no—
336C22×C47—81no—
337C22×C47—81no—
338C22×C47—82no—
339C22×C47—82no—
340C22×C47—82no—
341C22×C47—82no—
342C22×C47—82no—
343C22×C47—82no—
344C22×C47—82no—
345C22×C47—84no—
346C22×C47—84no—
347C22×C47—82no—
348C22×C47C2×#9911yescharacteristic
349C22×C47C2×#9912yes—
350C22×C47C2×#9912yes—
351C22×C47C2×#9911yescharacteristic
352C22×C47C22×C22⋊C411yescharacteristic
353C4×C47—21no—
354C4×C47—22no—
355C4×C47—21no—
356C4×C47—42no—
357C4×C47—42no—
358C4×C47—42no—
359Dic47—84no—
360C2×#534D4711yescharacteristic
361C22×#100—471no—
362C22×#99—471no—
363#2121—478no—
364C2×#352—472no—
365C2×AΣL(1,𝔽16)—472no—
366C2×C47—21no—
367C2×C47—21no—
368C2×C47—22no—
369C2×C47—22no—
370C2×C47—41no—
371C2×C47—42no—
372C2×C47—41no—
373C2×C47—42no—
374C2×C47—41no—
375C2×C47—41no—
376C2×C47—82no—
377C2×C47#212112yescomplemented
378C2×C47C22×#9911yescharacteristic
379C23×D4Dic4711yescharacteristic, complemented
380C23×D4C2×D4711yescharacteristic
381C22×M16—941no—
382#534—22no—
383#534—22no—
384#534Dic4714yescomplemented
385#534C2×D4714yes—
386C2×#123—21no—
387C2×#123Dic4711yescharacteristic, complemented
388C2×#123C2×D4711yescharacteristic
389C2×#121—21no—
390C2×#121—21no—
391C2×#120—21no—
392C2×#120Dic4711yescharacteristic, complemented
393C2×#120C2×D4711yescharacteristic
394C22×C22⋊C4—941no—
395C22×C22⋊C4Dic4711yescharacteristic, complemented
396C2×#100—472no—
397C2×#100—474no—
398C2×#100—941no—
399C2×#100—942no—
400C2×#99—472no—
401C2×#99—474no—
402C2×#99—941no—
403C2×#99—942no—
404#352—478no—
405AΣL(1,𝔽16)—478no—
406C47C2×#212111yescharacteristic, complemented, Sylow
407C25C2×Dic4711yescharacteristic
408C25C2×Dic4711yescharacteristic, complemented
409C25C22⋊D4711yescharacteristic
410C22×D4—21no—
411C22×D4—22no—
412C22×D4—21no—
413C22×D4—21no—
414C22×D4—21no—
415C22×D4—41no—
416C22×D4—41no—
417C22×D4—42no—
418C22×D4—42no—
419C22×D4—41no—
420C22×D4—41no—
421C22×D4C2×Dic4711yescharacteristic
422C22×D4C2×Dic4712yes—
423C22×D4C2×Dic4714yescomplemented
424C22×D4C22⋊D4711yescharacteristic
425C22×D4C22⋊D4712yes—
426C22×D4C22⋊D4711yescharacteristic
427C22×D4C22⋊D4712yes—
428C22×D4C22×D4711yescharacteristic
429C22×D4C22×D4712yes—
430C23×C4—21no—
431C23×C4—1881no—
432C23×C4C2×Dic4711yescharacteristic, complemented
433C23×C4C22⋊D4711yescharacteristic
434C2×M16—942no—
435C2×M16—944no—
436C2×M16—1882no—
437C2×M16—1881no—
438C22×C8—1881no—
439#123—22no—
440#123—21no—
441#123—21no—
442#123—24no—
443#123—24no—
444#123C2×Dic4714yescomplemented
445#123C2×Dic4712yescomplemented
446#123C22×D4712yes—
447#121—24no—
448#121—24no—
449#121—24no—
450#121—24no—
451#120—24no—
452#120—24no—
453#120—22no—
454#120—21no—
455#120—21no—
456#120C2×Dic4714yescomplemented
457#120C2×Dic4712yescomplemented
458#120C22×D4712yes—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C22⋊C4—22no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—942no—
468C2×C22⋊C4—944no—
469C2×C22⋊C4—1882no—
470C2×C22⋊C4—1881no—
471C2×C22⋊C4C2×Dic4711yescharacteristic, complemented
472C2×C22⋊C4C2×Dic4711yescharacteristic, complemented
473C2×C22⋊C4C2×Dic4714yescomplemented
474#100—474no—
475#100—942no—
476#100—944no—
477#99—474no—
478#99—942no—
479#99—944no—
480C24—21no—
481C24—22no—
482C24—21no—
483C24—22no—
484C24—21no—
485C24—21no—
486C24—21no—
487C24—21no—
488C24—41no—
489C24—41no—
490C24—82no—
491C24—82no—
492C24—82no—
493C24C22⋊Dic4711yescharacteristic
494C24C22⋊Dic4711yescharacteristic
495C24C22⋊Dic4712yes—
496C24C22⋊Dic4712yes—
497C24C22⋊Dic4711yescharacteristic
498C24C22×Dic4711yescharacteristic
499C24C22×Dic4712yes—
500C24C22×Dic4712yescomplemented
501C24C2×C22⋊D4711yescharacteristic
502C24C2×C22⋊D4712yes—
503C2×D4—24no—
504C2×D4—24no—
505C2×D4—22no—
506C2×D4—24no—
507C2×D4—22no—
508C2×D4—41no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—41no—
512C2×D4—42no—
513C2×D4—41no—
514C2×D4—42no—
515C2×D4—42no—
516C2×D4—41no—
517C2×D4—42no—
518C2×D4—41no—
519C2×D4—41no—
520C2×D4—42no—
521C2×D4—41no—
522C2×D4—42no—
523C2×D4—41no—
524C2×D4—44no—
525C2×D4—44no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4—41no—
530C2×D4—41no—
531C2×D4—44no—
532C2×D4—44no—
533C2×D4—82no—
534C2×D4—82no—
535C2×D4C22⋊Dic4712yes—
536C2×D4C22⋊Dic4712yes—
537C2×D4C22⋊Dic4712yes—
538C2×D4C22×Dic4712yes—
539C2×D4C22×Dic4711yescharacteristic
540C2×D4C2×C22⋊D4711yescharacteristic
541C2×D4C2×C22⋊D4712yes—
542C2×D4C2×C22⋊D4711yescharacteristic
543C2×D4C2×C22⋊D4712yes—
544C2×D4C23×D4711yescharacteristic
545C22×C4—21no—
546C22×C4—22no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—24no—
553C22×C4—41no—
554C22×C4—41no—
555C22×C4—82no—
556C22×C4—3764no—
557C22×C4—1884no—
558C22×C4—1882no—
559C22×C4C22⋊Dic4711yescharacteristic
560C22×C4C22⋊Dic4712yes—
561C22×C4C22×Dic4712yescomplemented
562C22×C4C2×C22⋊D4711yescharacteristic
563C22×C4C2×C22⋊D4712yes—
564M16—944no—
565M16—1882no—
566M16—1884no—
567C2×C8—1884no—
568C2×C8—1882no—
569C4⋊C4—24no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C22⋊C4—21no—
573C22⋊C4—21no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—24no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—944no—
582C22⋊C4—1882no—
583C22⋊C4—1884no—
584C22⋊C4C22×Dic4712yescomplemented
585C22⋊C4C22×Dic4712yescomplemented
586C23—21no—
587C23—22no—
588C23—21no—
589C23—22no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—21no—
601C23—22no—
602C23—22no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—44no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—41no—
614C23—41no—
615C23—82no—
616C23—82no—
617C23—82no—
618C23—82no—
619C23—82no—
620C23—82no—
621C23—82no—
622C23—82no—
623C23—84no—
624C23—84no—
625C23—82no—
626C23—84no—
627C23—84no—
628C23#1309393911yescharacteristic
629C23#1309393911yescharacteristic
630C23#1309393912yes—
631C23C2×C22⋊Dic4711yescharacteristic
632C23C2×C22⋊Dic4711yescharacteristic
633C23C2×C22⋊Dic4712yes—
634C23C2×C22⋊Dic4711yescharacteristic
635C23C2×C22⋊Dic4712yes—
636C23C2×C22⋊Dic4712yes—
637C23C23×Dic4711yescharacteristic
638C23C22×C22⋊D4711yescharacteristic
639D4—42no—
640D4—42no—
641D4—42no—
642D4—42no—
643D4—41no—
644D4—41no—
645D4—42no—
646D4—41no—
647D4—42no—
648D4—41no—
649D4—48no—
650D4—44no—
651D4—44no—
652D4—84no—
653D4—82no—
654D4—82no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—84no—
673C2×C4—3768no—
674C2×C4—3764no—
675C2×C4—1884no—
676C2×C4C2×C22⋊Dic4712yes—
677C2×C4C2×C22⋊Dic4711yescharacteristic
678C2×C4C22×C22⋊D4711yescharacteristic
679C8—1884no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—22no—
687C22—22no—
688C22—21no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—44no—
698C22—42no—
699C22—42no—
700C22—44no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—81no—
709C22—81no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—82no—
717C22—84no—
718C22—84no—
719C22—82no—
720C22C2×#1309393911yescharacteristic
721C22C2×#1309393912yes—
722C22C2×#1309393912yes—
723C22C2×#1309393911yescharacteristic
724C22C22×C22⋊Dic4711yescharacteristic
725C4—21no—
726C4—22no—
727C4—21no—
728C4—42no—
729C4—42no—
730C4—42no—
731C4—3764no—
732C2—21no—
733C2—21no—
734C2—22no—
735C2—22no—
736C2—41no—
737C2—42no—
738C2—41no—
739C2—41no—
740C2—41no—
741C2—42no—
742C2—82no—
743C2#2024503412yesdirect product factor
744C2C22×#1309393911yescharacteristic
subgroupG/H
centerC22C2×#13093939
commutatorC23×C47C23×C4
FrattiniC2×D4C23×D47
Fitting, prime radicalC2×C47×#534C2
socleC22×C47C2×#99
cosocleC2×D4×C47C24
hypercenterC2×#534D47
hypocenterC47C2×#2121
LCSG ▷ C23×C47 ▷ C22×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C24 ◁ C23×D4 ◁ C2×#534

Complements

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

NH ≅ G/Ntype
1. C22×#13093941C2semidirect
2. C22×#13093939C2semidirect
3. #20245034C2direct (N × H)
4. C2×#15688913C2semidirect
5. C2×#15688910C2semidirect
12. C2×#13093941C22semidirect
16. C2×#13093939C22semidirect
17. #15688913C22semidirect
18. #15688910C22semidirect
19. C23×D4×C47C4semidirect
23. C47×#534C4semidirect
26. C2×#123×C47C4semidirect
31. C2×#120×C47C4semidirect
33. C22×C22⋊C4×C47C4semidirect
51. C25×C47C2×C4semidirect
66. C22×D4×C47C2×C4semidirect
74. C23×C4×C47C2×C4semidirect
81. #123×C47C2×C4semidirect
82. #123×C47C2×C4semidirect
93. #120×C47C2×C4semidirect
94. #120×C47C2×C4semidirect
104. C2×C22⋊C4×C47C2×C4semidirect
105. C2×C22⋊C4×C47C2×C4semidirect
106. C2×C22⋊C4×C47C2×C4semidirect
127. C24×C47C22×C4semidirect
185. C22×C4×C47C22×C4semidirect
203. C22⋊C4×C47C22×C4semidirect
204. C22⋊C4×C47C22×C4semidirect
377. C2×C47#2121semidirect
379. C23×D4Dic47semidirect
384. #534Dic47semidirect
387. C2×#123Dic47semidirect
392. C2×#120Dic47semidirect
395. C22×C22⋊C4Dic47semidirect
406. C47C2×#2121semidirect
408. C25C2×Dic47semidirect
423. C22×D4C2×Dic47semidirect
432. C23×C4C2×Dic47semidirect
444. #123C2×Dic47semidirect
445. #123C2×Dic47semidirect
456. #120C2×Dic47semidirect
457. #120C2×Dic47semidirect
471. C2×C22⋊C4C2×Dic47semidirect
472. C2×C22⋊C4C2×Dic47semidirect
473. C2×C22⋊C4C2×Dic47semidirect
500. C24C22×Dic47semidirect
561. C22×C4C22×Dic47semidirect
584. C22⋊C4C22×Dic47semidirect
585. C22⋊C4C22×Dic47semidirect
743. C2#20245034direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130939412
C22×#130939392
#202450342
C2×#156889132
C2×#156889102
C2×C47×#5342
C2×#212147