Finite Group Databasebeta

← C2×#20256087 #27095905

Subgroups — C2×#20256087 #27095905

Order 12032.

1894 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689856C211yesmaximal, characteristic
2C2×#15689850C211yesmaximal, characteristic, complemented
3#20256087C2116yesmaximal, direct product factor
4C2×#15689480C211yesmaximal, characteristic, complemented
5C2×#15689476C211yesmaximal, characteristic, complemented
6C2×#15689468C211yesmaximal, characteristic
7C2×#15689407C211yesmaximal, characteristic, complemented
8C2×#15689426C211yesmaximal, characteristic, complemented
9C2×#15689346C211yesmaximal, characteristic, complemented
10C2×#15689344C211yesmaximal, characteristic, complemented
11C2×#15689322C211yesmaximal, characteristic
12C2×#15689247C211yesmaximal, characteristic, complemented
13C2×#15689217C211yesmaximal, characteristic, complemented
14C2×#15689210C211yesmaximal, characteristic, complemented
15C2×C4×#10625335C211yesmaximal, characteristic, complemented
16C2×C47×#478C211yesmaximal, characteristic, complemented
17C22×Dic188C2211yescharacteristic
18C22×#10625325C2211yescharacteristic
19C22×#10625335C2211yescharacteristic
20#15689856—24no—
21#15689856C2218yes—
22#15689850—24no—
23#15689850C2218yescomplemented
24C2×#13094023—21no—
25C2×#13094023C2211yescharacteristic
26C2×#13094020C2211yescharacteristic
27C2×#13094015C2211yescharacteristic
28C2×#13094014—21no—
29C2×#13094014—21no—
30C2×#13094012C2211yescharacteristic
31C2×#13094011C2211yescharacteristic
32C2×#13094010—21no—
33C2×#13094007—21no—
34C2×#13094006—21no—
35C2×C4×Dic94C2211yescharacteristic
36C2×C4×Dic94C2211yescharacteristic
37C2×#13093989—21no—
38C2×#13093989C2211yescharacteristic
39C2×#13093989C2211yescharacteristic
40C2×#13093989C2211yescharacteristic
41C2×#13093986C2211yescharacteristic
42C2×C4×C22⋊D47—21no—
43#15689480C2218yescomplemented
44#15689476C2218yescomplemented
45#15689468C2218yes—
46#15689426C2218yescomplemented
47#15689407C2218yescomplemented
48#15689346C2218yescomplemented
49#15689344C2218yescomplemented
50#15689322C2218yes—
51#15689247C2218yescomplemented
52#15689217C2218yescomplemented
53#15689210C2218yescomplemented
54C4×#10625335C2218yescomplemented
55C2×#13093955C2211yescharacteristic
56C2×Dic47⋊C8C2211yescharacteristic
57C2×Dic47⋊C8C2211yescharacteristic
58C2×#13093949C2211yescharacteristic
59C2×#13093947C2211yescharacteristic
60C2×#13093947C2211yescharacteristic
61C2×#13093947C2211yescharacteristic
62C2×#13093946C2211yescharacteristic
63C2×#13093945C2211yescharacteristic
64C2×#13093944C2211yescharacteristic
65C2×#13093944C2211yescharacteristic
66C2×C4×C47⋊C8C2211yescharacteristic
67C2×C8×Dic47C2211yescharacteristic
68C2×C8×Dic47C2211yescharacteristic
69C2×#125×C47C2211yescharacteristic
70C2×C4×D4×C47C2211yescharacteristic
71C47×#478C2218yescomplemented
72C2×#107×C47C2211yescharacteristic
73C2×#106×C47C2211yescharacteristic
74C2×C4⋊C8×C47C2211yescharacteristic
75C2×#102×C47C2211yescharacteristic
76C2×#102×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94D411yescharacteristic
79C22×Dic94C2311yescharacteristic
80C22×Dic94C2311yescharacteristic
81C22×D188C2311yescharacteristic
82C22×C22⋊D47—21no—
83C22×C22⋊D47—21no—
84C22×C4×D47—21no—
85C2×Dic188—24no—
86C2×Dic188C2314yes—
87C2×#10625325—24no—
88C2×#10625325C2314yes—
89C2×#10625335—24no—
90C2×#10625335C2314yes—
91C22×C47⋊C8C2311yescharacteristic
92C22×C47⋊C8C2311yescharacteristic
93#13094023—28no—
94#13094023—22no—
95#13094023C2314yes—
96#13094020—22no—
97#13094020C2314yes—
98#13094015—22no—
99#13094015C2314yes—
100#13094014—28no—
101#13094014—28no—
102#13094012—22no—
103#13094012C2314yes—
104#13094011—22no—
105#13094011C2314yes—
106#13094010—28no—
107#13094007—28no—
108#13094006—28no—
109C4×Dic94—22no—
110C4×Dic94D414yes—
111C4×Dic94C2314yes—
112C4×Dic94C2314yes—
113#13093989—28no—
114#13093989—22no—
115#13093989—22no—
116#13093989—22no—
117#13093989C2314yes—
118#13093989C2314yes—
119#13093989C2314yes—
120#13093986—22no—
121#13093986C2314yes—
122C4×C22⋊D47—28no—
123C2×C4⋊Dic47—21no—
124C2×C4⋊Dic47D411yescharacteristic
125C2×C4⋊Dic47C2311yescharacteristic
126C2×Dic47⋊C4—21no—
127C2×Dic47⋊C4—21no—
128C2×Dic47⋊C4—21no—
129C2×Dic47⋊C4—21no—
130C2×Dic47⋊C4—21no—
131C2×Dic47⋊C4—21no—
132C2×Dic47⋊C4D411yescharacteristic
133C2×Dic47⋊C4D411yescharacteristic
134C2×C22⋊Dic47—21no—
135C2×C22⋊Dic47—21no—
136C2×(C2×D47)⋊C4—21no—
137C2×(C2×D47)⋊C4—21no—
138C2×(C2×D47)⋊C4—21no—
139C2×C4×Dic47—21no—
140C2×C4×Dic47—21no—
141C2×C4×Dic47—21no—
142C2×C4×Dic47—21no—
143C2×C4×Dic47C2311yescharacteristic
144C2×C4×Dic47C2311yescharacteristic
145#13093955C2314yes—
146Dic47⋊C8C2314yes—
147Dic47⋊C8C2314yes—
148#13093949C2314yes—
149#13093947C2314yes—
150#13093947C2314yes—
151#13093947C2314yes—
152#13093946C2314yes—
153#13093945C2314yes—
154#13093944C2314yes—
155#13093944C2314yes—
156C4×C47⋊C8C2314yes—
157C8×Dic47C2314yes—
158C8×Dic47C2314yes—
159C22×D4×C47C2311yescharacteristic
160C23×C4×C47—21no—
161C22×C8×C47C2311yescharacteristic
162C22×C8×C47C2311yescharacteristic
163#125×C47—22no—
164#125×C47C2314yes—
165C4×D4×C47—22no—
166C4×D4×C47C2314yes—
167C2×C4⋊C4×C47—21no—
168C2×C4⋊C4×C47—21no—
169C2×C4⋊C4×C47C2311yescharacteristic
170C2×C4⋊C4×C47C2311yescharacteristic
171C2×C4⋊C4×C47C2311yescharacteristic
172C2×C22⋊C4×C47—21no—
173C2×C42×C47C2311yescharacteristic
174#107×C47C2314yes—
175#106×C47C2314yes—
176C4⋊C8×C47C2314yes—
177#102×C47C2314yes—
178#102×C47C2314yes—
179C24×C47—21no—
180C23×D47—21no—
181C2×D4×C47—21no—
182C2×D4×C47—22no—
183C2×D4×C47—22no—
184C2×D4×C47C2412yes—
185C22×C4×C47—21no—
186C22×C4×C47—21no—
187C22×C4×C47—21no—
188C22×C4×C47—24no—
189C22×C4×C47—82no—
190C22×C4×C47C2×D411yescharacteristic
191C22×C4×C47C2×D411yescharacteristic
192C22×C4×C47C2411yescharacteristic
193C2×C22⋊D47—24no—
194C2×C22⋊D47—24no—
195C2×C22⋊D47—44no—
196C2×C22⋊D47—82no—
197C22×Dic47—21no—
198C22×Dic47—21no—
199C22×Dic47—21no—
200C22×Dic47C2×D411yescharacteristic
201C22×Dic47C2×D411yescharacteristic
202C22×Dic47C2×D411yescharacteristic
203C22×Dic47C2×D411yescharacteristic
204C2×D188—22no—
205C2×D188—22no—
206C2×D188—21no—
207C2×D188C2412yes—
208C2×C4×D47—24no—
209C2×C4×D47—82no—
210C2×Dic94—21no—
211C2×Dic94—22no—
212C2×Dic94—24no—
213C2×Dic94—22no—
214C2×Dic94—22no—
215C2×Dic94—21no—
216C2×Dic94—24no—
217C2×Dic94—44no—
218C2×Dic94C2×D414yes—
219C2×Dic94#4114yes—
220C2×Dic94C2412yes—
221C2×Dic94C2412yes—
222C2×C8×C47—22no—
223C2×C8×C47—22no—
224C2×C8×C47C2412yes—
225C2×C8×C47C2412yes—
226C4⋊C4×C47—24no—
227C4⋊C4×C47—24no—
228C4⋊C4×C47—21no—
229C4⋊C4×C47—21no—
230C4⋊C4×C47—21no—
231C4⋊C4×C47C2412yes—
232C4⋊C4×C47C2412yes—
233C4⋊C4×C47C2412yes—
234C22⋊C4×C47—24no—
235C42×C47C2×D412yes—
236C42×C47C2412yes—
237C22⋊Dic47—24no—
238C22⋊Dic47—24no—
239#10625335—28no—
240(C2×D47)⋊C4—24no—
241(C2×D47)⋊C4—24no—
242(C2×D47)⋊C4—24no—
243C4⋊Dic47—21no—
244C4⋊Dic47—24no—
245C4⋊Dic47C2×D414yes—
246C4⋊Dic47C2412yes—
247Dic47⋊C4—24no—
248Dic47⋊C4—24no—
249Dic47⋊C4—24no—
250Dic47⋊C4—24no—
251Dic47⋊C4—24no—
252Dic47⋊C4—24no—
253Dic47⋊C4C2×D414yes—
254Dic47⋊C4C2×D414yes—
255C4×Dic47—24no—
256C4×Dic47—24no—
257C4×Dic47—24no—
258C4×Dic47—24no—
259C4×Dic47C2×D412yes—
260C4×Dic47C2×D412yes—
261C4×Dic47C2412yes—
262C4×Dic47C2412yes—
263C2×C47⋊C8—22no—
264C2×C47⋊C8—22no—
265C2×C47⋊C8C2412yes—
266C2×C47⋊C8C2412yes—
267Dic188—28no—
268#10625325—28no—
269C23×C47—22no—
270C23×C47—42no—
271C23×C47—42no—
272C23×C47—42no—
273C23×C47C22×D411yescharacteristic
274C22×D47—22no—
275C22×D47—42no—
276C22×D47—42no—
277C22×D47—42no—
278D4×C47—22no—
279D4×C47—22no—
280D4×C47—42no—
281C2×C4×C47—22no—
282C2×C4×C47—22no—
283C2×C4×C47—22no—
284C2×C4×C47—22no—
285C2×C4×C47—22no—
286C2×C4×C47—42no—
287C2×C4×C47—42no—
288C2×C4×C47—42no—
289C2×C4×C47—84no—
290C2×C4×C47C22×D412yes—
291C2×C4×C47C22×D412yes—
292C2×C4×C47C22×D411yescharacteristic
293C2×C4×C47C2×#4112yes—
294C2×C4×C472−1+412yes—
295C2×C4×C47C2511yescharacteristic
296C22⋊D47—48no—
297C22⋊D47—84no—
298C2×Dic47—24no—
299C2×Dic47—22no—
300C2×Dic47—22no—
301C2×Dic47—22no—
302C2×Dic47—22no—
303C2×Dic47—22no—
304C2×Dic47—22no—
305C2×Dic47—42no—
306C2×Dic47—42no—
307C2×Dic47#13514yes—
308C2×Dic47C22×D412yes—
309C2×Dic47C22×D412yes—
310C2×Dic47C22×D412yes—
311C2×Dic47C22×D412yes—
312D188—22no—
313D188—22no—
314D188—42no—
315C4×D47—84no—
316Dic94—24no—
317Dic94—22no—
318Dic94—28no—
319Dic94—22no—
320Dic94—22no—
321Dic94—42no—
322Dic94—48no—
323Dic94C2×#4114yes—
324C8×C47—22no—
325C8×C47—22no—
326C47⋊C8—22no—
327C47⋊C8—22no—
328C2×#3365—471nomaximal, Sylow
329C22×C47—42no—
330C22×C47—42no—
331C22×C47—42no—
332C22×C47—84no—
333C22×C47#54812yes—
334C22×C47C2×#13512yes—
335C22×C47#57712yes—
336C22×C47C23×D411yescharacteristic
337C2×D47—42no—
338C2×D47—42no—
339C2×D47—42no—
340C2×D47—84no—
341C4×C47—22no—
342C4×C47—22no—
343C4×C47—42no—
344C4×C47—42no—
345C4×C47—42no—
346C4×C47#54812yes—
347C4×C47C22×#4111yescharacteristic
348C4×C47C2×2−1+411yescharacteristic
349Dic47—24no—
350Dic47—22no—
351Dic47—22no—
352Dic47—22no—
353Dic47—42no—
354Dic47—42no—
355Dic47C2×#13514yes—
356C2×#559—471no—
357C2×#557—471no—
358#3365—4716no—
359C2×#488—471no—
360C2×#488—471no—
361C2×#486—471no—
362C2×#475—471no—
363C2×#478—471no—
364C2×#478D4711yescharacteristic, complemented
365C2×#464—471no—
366C2×#464—471no—
367C2×#460—471no—
368C2×C8×Q8—471no—
369C2×C4×Q16—471no—
370C2×C4×SD16—471no—
371C2×C4×SD16—471no—
372C2×C47—82no—
373C2×C47#336514yescomplemented
374C2×C47C2×#54811yescharacteristic
375C2×C47C22×#13511yescharacteristic
376C2×C47C2×#57711yescharacteristic
377D47—82no—
378C22×Q16—471no—
379C22×SD16—471no—
380C22×SD16—471no—
381#559—478no—
382#559—944no—
383#557—478no—
384#557—944no—
385C2×C4⋊Q8—471no—
386C2×C4⋊Q8—941no—
387C2×#127—471no—
388C2×#125—471no—
389C2×#125—941no—
390C2×#125—941no—
391C2×#125C2×D4711yescharacteristic
392C2×#124—471no—
393C2×#124—471no—
394C2×#124—941no—
395C2×#123—941no—
396C2×#123—941no—
397C2×C4×Q8—471no—
398C2×C4×Q8—471no—
399C2×C4×Q8—471no—
400C2×C4×Q8—471no—
401C2×C4×Q8—471no—
402C2×C4×Q8—941no—
403C2×C4×D4—471no—
404C2×C4×D4—941no—
405C2×C4×D4C2×D4711yescharacteristic
406#488—478no—
407#488—478no—
408#486—478no—
409#478—478no—
410#478C2×D4718yescomplemented
411#475—478no—
412#464—478no—
413#464—478no—
414#460—478no—
415C8×Q8—478no—
416C4×Q16—478no—
417C4×SD16—478no—
418C4×SD16—478no—
419C2×#107C2×D4711yescharacteristic
420C2×#106—471no—
421C2×#106C2×D4711yescharacteristic
422C2×C4⋊C8—471no—
423C2×C4⋊C8—471no—
424C2×C4⋊C8C2×D4711yescharacteristic
425C2×#103—471no—
426C2×#103—471no—
427C2×#103—471no—
428C2×#103—471no—
429C2×#102—471no—
430C2×#102—471no—
431C2×#102—471no—
432C2×#102—471no—
433C2×#102C2×D4711yescharacteristic
434C2×#102C2×D4711yescharacteristic
435C2×C4×C8—471no—
436C2×C4×C8—471no—
437C2×C4×C8—471no—
438C47C2×#336511yescharacteristic, complemented, Sylow
439C22×Q8—471no—
440C22×Q8—471no—
441C22×Q8—471no—
442C22×Q8—941no—
443C22×D4—471no—
444C22×D4—941no—
445C22×D4—941no—
446C22×D4C22×D4711yescharacteristic
447C23×C4—21no—
448C23×C4—941no—
449C2×Q16—474no—
450C2×Q16—944no—
451C2×SD16—474no—
452C2×SD16—474no—
453C2×SD16—944no—
454C2×SD16—944no—
455C22×C8—471no—
456C22×C8—471no—
457C22×C8C22×D4711yescharacteristic
458C22×C8C22×D4711yescharacteristic
459C4⋊Q8—474no—
460C4⋊Q8—942no—
461C4⋊Q8—948no—
462#127—474no—
463#127—942no—
464#125—22no—
465#125—474no—
466#125—942no—
467#125—948no—
468#125—948no—
469#125C22×D4714yes—
470#124—474no—
471#124—474no—
472#124—942no—
473#124—948no—
474#124—942no—
475#123—948no—
476#123—948no—
477C4×Q8—474no—
478C4×Q8—474no—
479C4×Q8—474no—
480C4×Q8—474no—
481C4×Q8—474no—
482C4×Q8—474no—
483C4×Q8—942no—
484C4×Q8—942no—
485C4×Q8—942no—
486C4×Q8—948no—
487C4×Q8—942no—
488C4×D4—22no—
489C4×D4—474no—
490C4×D4—942no—
491C4×D4—948no—
492C4×D4C22×D4714yes—
493C2×C4⋊C4—21no—
494C2×C4⋊C4—21no—
495C2×C4⋊C4—471no—
496C2×C4⋊C4—471no—
497C2×C4⋊C4—471no—
498C2×C4⋊C4—471no—
499C2×C4⋊C4—941no—
500C2×C4⋊C4—941no—
501C2×C4⋊C4—941no—
502C2×C4⋊C4—941no—
503C2×C4⋊C4—941no—
504C2×C4⋊C4—941no—
505C2×C4⋊C4—941no—
506C2×C4⋊C4C22×D4711yescharacteristic
507C2×C4⋊C4C22×D4711yescharacteristic
508C2×C4⋊C4C22×D4711yescharacteristic
509C2×C22⋊C4—21no—
510C2×C22⋊C4—941no—
511C2×C22⋊C4—941no—
512C2×C22⋊C4—941no—
513C2×C22⋊C4—941no—
514C2×C22⋊C4—941no—
515C2×C42—471no—
516C2×C42—471no—
517C2×C42—941no—
518C2×C42—941no—
519C2×C42—941no—
520C2×C42—941no—
521C2×C42C22×D4711yescharacteristic
522#107C22×D4714yes—
523#106—474no—
524#106C22×D4714yes—
525C4⋊C8—474no—
526C4⋊C8—474no—
527C4⋊C8C22×D4714yes—
528#103—474no—
529#103—474no—
530#103—474no—
531#103—474no—
532#102—474no—
533#102—474no—
534#102—474no—
535#102—474no—
536#102C22×D4714yes—
537#102C22×D4714yes—
538C4×C8—474no—
539C4×C8—474no—
540C4×C8—474no—
541C24—21no—
542C24—941no—
543C2×Q8—474no—
544C2×Q8—474no—
545C2×Q8—472no—
546C2×Q8—472no—
547C2×Q8—944no—
548C2×Q8—944no—
549C2×Q8—941no—
550C2×Q8—941no—
551C2×Q8—942no—
552C2×Q8—942no—
553C2×Q8—942no—
554C2×Q8—1884no—
555C2×D4—21no—
556C2×D4—22no—
557C2×D4—22no—
558C2×D4—472no—
559C2×D4—944no—
560C2×D4—944no—
561C2×D4—941no—
562C2×D4—942no—
563C2×D4—942no—
564C2×D4—3762no—
565C2×D4—1884no—
566C2×D4C23×D4712yes—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—24no—
571C22×C4—82no—
572C22×C4—471no—
573C22×C4—471no—
574C22×C4—471no—
575C22×C4—471no—
576C22×C4—944no—
577C22×C4—941no—
578C22×C4—941no—
579C22×C4—941no—
580C22×C4—3762no—
581C22×C4D4×D4711yescharacteristic
582C22×C4D4×D4711yescharacteristic
583C22×C4C23×D4711yescharacteristic
584Q16—948no—
585SD16—948no—
586SD16—948no—
587C2×C8—22no—
588C2×C8—22no—
589C2×C8—472no—
590C2×C8—472no—
591C2×C8—942no—
592C2×C8—942no—
593C2×C8C23×D4712yes—
594C2×C8C23×D4712yes—
595C4⋊C4—24no—
596C4⋊C4—24no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—474no—
601C4⋊C4—474no—
602C4⋊C4—474no—
603C4⋊C4—472no—
604C4⋊C4—944no—
605C4⋊C4—944no—
606C4⋊C4—944no—
607C4⋊C4—944no—
608C4⋊C4—944no—
609C4⋊C4—944no—
610C4⋊C4—944no—
611C4⋊C4—941no—
612C4⋊C4C23×D4712yes—
613C4⋊C4C23×D4712yes—
614C4⋊C4C23×D4712yes—
615C22⋊C4—24no—
616C22⋊C4—944no—
617C22⋊C4—944no—
618C22⋊C4—944no—
619C22⋊C4—944no—
620C22⋊C4—944no—
621C42—472no—
622C42—472no—
623C42—472no—
624C42—472no—
625C42—944no—
626C42—944no—
627C42—944no—
628C42—944no—
629C42D4×D4712yes—
630C42C23×D4712yes—
631C23—22no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—942no—
636C23—1882no—
637C23—1882no—
638C23—1882no—
639C23C2×D4×D4711yescharacteristic
640Q8—474no—
641Q8—948no—
642Q8—944no—
643Q8—942no—
644Q8—942no—
645Q8—942no—
646Q8—1888no—
647Q8—1882no—
648D4—22no—
649D4—22no—
650D4—42no—
651D4—942no—
652D4—942no—
653D4—3764no—
654D4—1888no—
655D4—1882no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—84no—
665C2×C4—474no—
666C2×C4—472no—
667C2×C4—472no—
668C2×C4—472no—
669C2×C4—472no—
670C2×C4—944no—
671C2×C4—942no—
672C2×C4—942no—
673C2×C4—942no—
674C2×C4—942no—
675C2×C4—942no—
676C2×C4—942no—
677C2×C4—3764no—
678C2×C4—1882no—
679C2×C4—1882no—
680C2×C4C2×D4×D4712yes—
681C2×C4C2×D4×D4712yes—
682C2×C4C2×D4×D4711yescharacteristic
683C2×C4#41×D4712yes—
684C2×C4#1309407212yes—
685C2×C4C24×D4711yescharacteristic
686C8—22no—
687C8—22no—
688C8—942no—
689C8—942no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—84no—
694C22—3764no—
695C22—1882no—
696C22—1882no—
697C22—1882no—
698C22#1568978312yes—
699C22#135×D4712yes—
700C22#1568993312yes—
701C22C22×D4×D4711yescharacteristic
702C4—22no—
703C4—22no—
704C4—42no—
705C4—42no—
706C4—42no—
707C4—474no—
708C4—942no—
709C4—944no—
710C4—942no—
711C4—942no—
712C4—1882no—
713C4—1882no—
714C4#1568978312yes—
715C4C2×#41×D4711yescharacteristic
716C4C2×#1309407211yescharacteristic
717C2—82no—
718C2—3762no—
719C2#2025608714yesdirect product factor
720C2C2×#1568978311yescharacteristic
721C2C2×#135×D4711yescharacteristic
722C2C2×#1568993311yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#478C2
socleC23×C47C22×D4
prime radicalC2×#13094020C22
hypercenterC2×#478D47
hypocenterC47C2×#3365
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
2. C2×#15689850C2semidirect
3. #20256087C2direct (N × H)
4. C2×#15689480C2semidirect
5. C2×#15689476C2semidirect
7. C2×#15689407C2semidirect
8. C2×#15689426C2semidirect
9. C2×#15689346C2semidirect
10. C2×#15689344C2semidirect
12. C2×#15689247C2semidirect
13. C2×#15689217C2semidirect
14. C2×#15689210C2semidirect
15. C2×C4×#10625335C2semidirect
16. C2×C47×#478C2semidirect
23. #15689850C22semidirect
43. #15689480C22semidirect
44. #15689476C22semidirect
46. #15689426C22semidirect
47. #15689407C22semidirect
48. #15689346C22semidirect
49. #15689344C22semidirect
51. #15689247C22semidirect
52. #15689217C22semidirect
53. #15689210C22semidirect
54. C4×#10625335C22semidirect
71. C47×#478C22semidirect
364. C2×#478D47semidirect
373. C2×C47#3365semidirect
410. #478C2×D47semidirect
438. C47C2×#3365semidirect
719. C2#20256087direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156898562
C2×#156898502
#202560872
C2×#156894802
C2×#156894762
C2×#156894682
C2×#156894072
C2×#156894262
C2×#156893462
C2×#156893442
C2×#156893222
C2×#156892472
C2×#156892172
C2×#156892102
C2×C4×#106253352
C2×C47×#4782
C2×#336547