Finite Group Databasebeta

← C2×#20246131 #26375112

Subgroups — C2×#20246131 #26375112

Order 12032.

2526 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094022C211yesmaximal, characteristic
2#20246131C2116yesmaximal, direct product factor
3C2×#15689030C211yesmaximal, characteristic
4C2×#15689027C211yesmaximal, characteristic
5C2×#15689027C211yesmaximal, characteristic
6C2×#15689020C211yesmaximal, characteristic
7C2×#15689018C211yesmaximal, characteristic
8C2×#15689010C211yesmaximal, characteristic
9C2×#15689007C211yesmaximal, characteristic
10C2×#15689005C211yesmaximal, characteristic
11C2×#15689004C211yesmaximal, characteristic
12C2×#15688987C211yesmaximal, characteristic
13C2×C4×Dic47⋊C4C211yesmaximal, characteristic
14C2×#15688974C211yesmaximal, characteristic
15C2×#15688968C211yesmaximal, characteristic
16C2×C47×#391C211yesmaximal, characteristic
17C23×Dic94C2211yescharacteristic
18C2×#13094022C4116yescomplemented
19C2×#13094022C2218yes—
20C22×C4⋊Dic47C2211yescharacteristic
21C22×Dic47⋊C4C2211yescharacteristic
22C22×Dic47⋊C4C2211yescharacteristic
23C22×Dic47⋊C4C2211yescharacteristic
24C22×Dic47⋊C4C2211yescharacteristic
25C22×Dic47⋊C4C2211yescharacteristic
26C22×Dic47⋊C4C2211yescharacteristic
27C22×Dic47⋊C4C2211yescharacteristic
28C22×Dic47⋊C4C2211yescharacteristic
29C22×C4×Dic47C2211yescharacteristic
30C22×C4×Dic47C2211yescharacteristic
31C22×C4×Dic47C2211yescharacteristic
32C22×C4×Dic47C2211yescharacteristic
33C22×C4×Dic47C2211yescharacteristic
34C22×C4×Dic47C2211yescharacteristic
35#15689030C2218yes—
36#15689027C2218yes—
37#15689027C2218yes—
38#15689020C2218yes—
39#15689018C2218yes—
40#15689010C2218yes—
41#15689007C2218yes—
42#15689005C2218yes—
43#15689004C2218yes—
44#15688987C2218yes—
45C4×Dic47⋊C4C2218yes—
46#15688974C2218yes—
47#15688968C2218yes—
48C2×C47⋊#95C2211yescharacteristic
49C2×C47⋊#95C2211yescharacteristic
50C2×C47⋊#95C2211yescharacteristic
51C2×C47⋊#95C2211yescharacteristic
52C2×C47⋊#95C2211yescharacteristic
53C2×C47⋊#95C2211yescharacteristic
54C2×C47⋊#95C2211yescharacteristic
55C2×C47⋊#95C2211yescharacteristic
56C2×C47⋊#95C2211yescharacteristic
57C2×C47⋊#95C2211yescharacteristic
58C2×C47⋊#95C2211yescharacteristic
59C2×C47⋊#95C2211yescharacteristic
60C23×Q8×C47C2211yescharacteristic
61C22×C4⋊C4×C47C2211yescharacteristic
62C22×C42×C47C2211yescharacteristic
63C47×#391C2218yes—
64C2×#95×C47C2211yescharacteristic
65C2×#95×C47C2211yescharacteristic
66C2×#95×C47C2211yescharacteristic
67C2×#95×C47C2211yescharacteristic
68C22×Dic94—42no—
69C22×Dic94—42no—
70C22×Dic94C2×C418yes—
71C22×Dic94C2314yes—
72C23×Dic47C2311yescharacteristic
73C23×Dic47C2311yescharacteristic
74C23×Dic47C2311yescharacteristic
75C23×Dic47C2311yescharacteristic
76C23×Dic47C2311yescharacteristic
77C23×Dic47C2311yescharacteristic
78C23×Dic47C2311yescharacteristic
79C23×Dic47C2311yescharacteristic
80#13094022C2×C4164yescomplemented
81C2×C4⋊Dic47—42no—
82C2×C4⋊Dic47C2314yes—
83C2×Dic47⋊C4—24no—
84C2×Dic47⋊C4—24no—
85C2×Dic47⋊C4—42no—
86C2×Dic47⋊C4—42no—
87C2×Dic47⋊C4C2×C418yes—
88C2×Dic47⋊C4C2×C418yes—
89C2×Dic47⋊C4C2×C418yes—
90C2×Dic47⋊C4C2×C418yes—
91C2×Dic47⋊C4C2314yes—
92C2×Dic47⋊C4C2314yes—
93C2×Dic47⋊C4C2314yes—
94C2×Dic47⋊C4C2314yes—
95C2×Dic47⋊C4C2314yes—
96C2×Dic47⋊C4C2314yes—
97C2×Dic47⋊C4C2314yes—
98C2×Dic47⋊C4C2314yes—
99C2×C4×Dic47—24no—
100C2×C4×Dic47—42no—
101C2×C4×Dic47—42no—
102C2×C4×Dic47—42no—
103C2×C4×Dic47C2×C418yes—
104C2×C4×Dic47Q818yescomplemented
105C2×C4×Dic47C2314yes—
106C2×C4×Dic47C2314yes—
107C2×C4×Dic47C2314yes—
108C2×C4×Dic47C2314yes—
109C2×C4×Dic47C2314yes—
110C2×C4×Dic47C2314yes—
111C47⋊#95C2314yes—
112C47⋊#95C2314yes—
113C47⋊#95C2314yes—
114C47⋊#95C2314yes—
115C47⋊#95C2314yes—
116C47⋊#95C2314yes—
117C47⋊#95C2314yes—
118C47⋊#95C2314yes—
119C47⋊#95C2314yes—
120C47⋊#95C2314yes—
121C47⋊#95C2314yes—
122C47⋊#95C2314yes—
123C22×Q8×C47—42no—
124C22×Q8×C47—42no—
125C22×Q8×C47C2×C418yes—
126C22×Q8×C47C2314yes—
127C23×C4×C47C2311yescharacteristic
128C23×C4×C47C2311yescharacteristic
129C23×C4×C47C2311yescharacteristic
130C23×C4×C47C2311yescharacteristic
131C23×C4×C47C2311yescharacteristic
132C23×C4×C47C2311yescharacteristic
133C23×C4×C47C2311yescharacteristic
134C2×C4⋊C4×C47—42no—
135C2×C4⋊C4×C47C2314yes—
136C2×C42×C47—42no—
137C2×C42×C47C2314yes—
138#95×C47C2314yes—
139#95×C47C2314yes—
140#95×C47C2314yes—
141#95×C47C2314yes—
142C24×C47C2411yescharacteristic
143C2×Q8×C47—416no—
144C2×Q8×C47—44no—
145C2×Q8×C47—44no—
146C2×Q8×C47C22×C4116yes—
147C22×C4×C47—22no—
148C22×C4×C47—22no—
149C22×C4×C47—22no—
150C22×C4×C47—22no—
151C22×C4×C47—22no—
152C22×C4×C47—22no—
153C22×C4×C47—22no—
154C22×C4×C47—22no—
155C22×C4×C47—22no—
156C22×C4×C47—22no—
157C22×C4×C47—22no—
158C22×C4×C47—22no—
159C22×C4×C47—22no—
160C22×C4×C47—22no—
161C22×C4×C47—22no—
162C22×C4×C47—22no—
163C22×C4×C47—22no—
164C22×C4×C47C22×C414yes—
165C22×C4×C47C22×C414yes—
166C22×C4×C47C22×C414yes—
167C22×C4×C47C2×Q814yes—
168C22×C4×C47C2412yes—
169C22×C4×C47C2412yes—
170C22×C4×C47C2412yes—
171C22×C4×C47C2412yes—
172C22×C4×C47C2412yes—
173C22×C4×C47C2412yes—
174C22×C4×C47C2412yes—
175C22×Dic47—22no—
176C22×Dic47—22no—
177C22×Dic47—22no—
178C22×Dic47—22no—
179C22×Dic47—22no—
180C22×Dic47—22no—
181C22×Dic47—22no—
182C22×Dic47—22no—
183C22×Dic47—22no—
184C22×Dic47—22no—
185C22×Dic47—22no—
186C22×Dic47—22no—
187C22×Dic47—22no—
188C22×Dic47—22no—
189C22×Dic47—22no—
190C22×Dic47—22no—
191C22×Dic47—22no—
192C22×Dic47C22×C414yes—
193C22×Dic47C22×C414yes—
194C22×Dic47C22×C414yes—
195C22×Dic47C22×C414yes—
196C22×Dic47C2×Q814yes—
197C22×Dic47C2×Q814yes—
198C22×Dic47#4114yes—
199C22×Dic47C2412yes—
200C22×Dic47C2412yes—
201C22×Dic47C2412yes—
202C22×Dic47C2412yes—
203C22×Dic47C2412yes—
204C22×Dic47C2412yes—
205C22×Dic47C2412yes—
206C22×Dic47C2412yes—
207C2×Dic94—416no—
208C2×Dic94—44no—
209C2×Dic94—44no—
210C2×Dic94C22×C4116yes—
211C4⋊C4×C47—44no—
212C42×C47—44no—
213C4⋊Dic47—44no—
214Dic47⋊C4—28no—
215Dic47⋊C4—28no—
216Dic47⋊C4—44no—
217Dic47⋊C4—44no—
218Dic47⋊C4C22×C4116yes—
219Dic47⋊C4C22×C4116yes—
220Dic47⋊C4C22×C4116yes—
221Dic47⋊C4C22×C4116yes—
222C4×Dic47—28no—
223C4×Dic47—44no—
224C4×Dic47—44no—
225C4×Dic47—44no—
226C4×Dic47C22×C4116yes—
227C4×Dic47C2×Q8116yescomplemented
228C23×C47C23×C412yes—
229C23×C47C22×Q812yes—
230C23×C47C2×#4112yes—
231C23×C47H(5,𝔽2)12yes—
232C23×C47H(5,𝔽2)12yes—
233C23×C472−1+412yes—
234C23×C472−1+412yes—
235C23×C47C2511yescharacteristic
236Q8×C47—416no—
237C2×C4×C47—28no—
238C2×C4×C47—28no—
239C2×C4×C47—28no—
240C2×C4×C47—28no—
241C2×C4×C47—22no—
242C2×C4×C47—22no—
243C2×C4×C47—22no—
244C2×C4×C47—22no—
245C2×C4×C47—22no—
246C2×C4×C47—22no—
247C2×C4×C47—22no—
248C2×C4×C47—22no—
249C2×C4×C47—22no—
250C2×C4×C47—22no—
251C2×C4×C47—22no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—22no—
256C2×C4×C47—22no—
257C2×C4×C47—22no—
258C2×C4×C47—44no—
259C2×C4×C47—44no—
260C2×C4×C47—44no—
261C2×C4×C47C23×C414yes—
262C2×C4×C47C23×C414yes—
263C2×C4×C47C23×C414yes—
264C2×C4×C47C22×Q814yes—
265C2×Dic47—28no—
266C2×Dic47—28no—
267C2×Dic47—28no—
268C2×Dic47—28no—
269C2×Dic47—22no—
270C2×Dic47—22no—
271C2×Dic47—22no—
272C2×Dic47—22no—
273C2×Dic47—22no—
274C2×Dic47—22no—
275C2×Dic47—22no—
276C2×Dic47—22no—
277C2×Dic47—22no—
278C2×Dic47—22no—
279C2×Dic47—22no—
280C2×Dic47—22no—
281C2×Dic47—22no—
282C2×Dic47—22no—
283C2×Dic47—22no—
284C2×Dic47—22no—
285C2×Dic47—22no—
286C2×Dic47—44no—
287C2×Dic47—44no—
288C2×Dic47—44no—
289C2×Dic47C4×Q8116yes—
290C2×Dic47C23×C414yes—
291C2×Dic47C23×C414yes—
292C2×Dic47C23×C414yes—
293C2×Dic47C23×C414yes—
294C2×Dic47C22×Q814yes—
295C2×Dic47C22×Q814yes—
296C2×Dic47C2×#4114yes—
297Dic94—416no—
298C2×#2331—471nomaximal, Sylow
299C22×C47C2×C4×Q814yes—
300C22×C47#51814yes—
301C22×C47#51914yes—
302C22×C47#54214yes—
303C22×C47#54214yes—
304C22×C47#54414yes—
305C22×C47#54414yes—
306C22×C47C24×C411yescharacteristic
307C22×C47C23×Q811yescharacteristic
308C22×C47C22×#4111yescharacteristic
309C22×C47C2×H(5,𝔽2)11yescharacteristic
310C22×C47C2×H(5,𝔽2)11yescharacteristic
311C22×C47C2×2−1+411yescharacteristic
312C22×C47C2×2−1+411yescharacteristic
313C4×C47—24no—
314C4×C47—24no—
315C4×C47—24no—
316C4×C47—24no—
317C4×C47—42no—
318C4×C47—42no—
319C4×C47—42no—
320Dic47—24no—
321Dic47—24no—
322Dic47—24no—
323Dic47—24no—
324Dic47—42no—
325Dic47—42no—
326Dic47—42no—
327Dic47C2×C4×Q818yes—
328C22×C4⋊Q8—471no—
329#2331—4716no—
330C2×#391—471no—
331C2×#391—471no—
332C2×#391—471no—
333C2×#391D4711yescharacteristic
334C2×#389—471no—
335C2×#389—471no—
336C2×#387—471no—
337C2×#387—471no—
338C2×#387—471no—
339C2×#387—471no—
340C2×#382—471no—
341C2×C4×C4⋊C4—471no—
342C2×C4×C4⋊C4—471no—
343C2×#376—471no—
344C2×C47#233118yescomplemented
345C2×C47C22×C4×Q811yescharacteristic
346C2×C47C2×#51811yescharacteristic
347C2×C47C2×#51911yescharacteristic
348C2×C47C2×#54211yescharacteristic
349C2×C47C2×#54211yescharacteristic
350C2×C47C2×#54411yescharacteristic
351C2×C47C2×#54411yescharacteristic
352C23×Q8—471no—
353C23×Q8C2×D4711yescharacteristic
354C2×C4⋊Q8—4716no—
355C2×C4⋊Q8—478no—
356C22×C4⋊C4—471no—
357C22×C4⋊C4—471no—
358C22×C4⋊C4—471no—
359C22×C4⋊C4—471no—
360C22×C4⋊C4—471no—
361C22×C4⋊C4—471no—
362C22×C4⋊C4—471no—
363C22×C4⋊C4—471no—
364C22×C4⋊C4—471no—
365C22×C4⋊C4C2×D4711yescharacteristic
366C22×C42—471no—
367C22×C42—471no—
368C22×C42—471no—
369C22×C42—471no—
370C22×C42—471no—
371C22×C42—471no—
372C22×C42C2×D4711yescharacteristic
373#391—478no—
374#391—478no—
375#391—478no—
376#391C2×D4718yes—
377#389—478no—
378#389—478no—
379#387—478no—
380#387—478no—
381#387—478no—
382#387—478no—
383#382—478no—
384C4×C4⋊C4—478no—
385C4×C4⋊C4—478no—
386#376—478no—
387C2×#95—471no—
388C2×#95—471no—
389C2×#95—471no—
390C2×#95—471no—
391C2×#95—471no—
392C2×#95—471no—
393C2×#95—471no—
394C2×#95—471no—
395C2×#95—471no—
396C2×#95—471no—
397C2×#95—471no—
398C2×#95—471no—
399C2×#95C2×D4711yescharacteristic
400C2×#95C2×D4711yescharacteristic
401C2×#95C2×D4711yescharacteristic
402C2×#95C2×D4711yescharacteristic
403C47C2×#233111yescharacteristic, complemented, Sylow
404C22×Q8—42no—
405C22×Q8—42no—
406C22×Q8—478no—
407C22×Q8—474no—
408C22×Q8—1882no—
409C22×Q8—1882no—
410C22×Q8C4×D4718yes—
411C22×Q8C22×D4714yes—
412C23×C4—471no—
413C23×C4—471no—
414C23×C4—471no—
415C23×C4—471no—
416C23×C4—471no—
417C23×C4—471no—
418C23×C4—471no—
419C23×C4—471no—
420C23×C4C22×D4711yescharacteristic
421C23×C4C22×D4711yescharacteristic
422C23×C4C22×D4711yescharacteristic
423C23×C4C22×D4711yescharacteristic
424C23×C4C22×D4711yescharacteristic
425C23×C4C22×D4711yescharacteristic
426C23×C4C22×D4711yescharacteristic
427C4⋊Q8—4764no—
428C2×C4⋊C4—42no—
429C2×C4⋊C4—478no—
430C2×C4⋊C4—478no—
431C2×C4⋊C4—478no—
432C2×C4⋊C4—478no—
433C2×C4⋊C4—474no—
434C2×C4⋊C4—474no—
435C2×C4⋊C4—474no—
436C2×C4⋊C4—474no—
437C2×C4⋊C4—474no—
438C2×C4⋊C4—474no—
439C2×C4⋊C4—474no—
440C2×C4⋊C4—474no—
441C2×C4⋊C4—474no—
442C2×C4⋊C4—944no—
443C2×C4⋊C4—944no—
444C2×C4⋊C4—1882no—
445C2×C4⋊C4—1882no—
446C2×C4⋊C4—1882no—
447C2×C4⋊C4C22×D4714yes—
448C2×C42—42no—
449C2×C42—478no—
450C2×C42—478no—
451C2×C42—474no—
452C2×C42—474no—
453C2×C42—474no—
454C2×C42—474no—
455C2×C42—474no—
456C2×C42—474no—
457C2×C42—944no—
458C2×C42—1882no—
459C2×C42—1882no—
460C2×C42—1882no—
461C2×C42C22×D4714yes—
462#95—474no—
463#95—474no—
464#95—474no—
465#95—474no—
466#95—474no—
467#95—474no—
468#95—474no—
469#95—474no—
470#95—474no—
471#95—474no—
472#95—474no—
473#95—474no—
474#95C22×D4714yes—
475#95C22×D4714yes—
476#95C22×D4714yes—
477#95C22×D4714yes—
478C24C23×D4711yescharacteristic
479C2×Q8—416no—
480C2×Q8—44no—
481C2×Q8—44no—
482C2×Q8—4716no—
483C2×Q8—18816no—
484C2×Q8—1884no—
485C2×Q8—1884no—
486C2×Q8C2×C4×D47116yes—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—474no—
505C22×C4—474no—
506C22×C4—474no—
507C22×C4—472no—
508C22×C4—474no—
509C22×C4—474no—
510C22×C4—474no—
511C22×C4—474no—
512C22×C4—472no—
513C22×C4—472no—
514C22×C4—472no—
515C22×C4—472no—
516C22×C4—472no—
517C22×C4—472no—
518C22×C4—472no—
519C22×C4—942no—
520C22×C4—942no—
521C22×C4—942no—
522C22×C4—942no—
523C22×C4—942no—
524C22×C4—942no—
525C22×C4—942no—
526C22×C4—942no—
527C22×C4—942no—
528C22×C4—942no—
529C22×C4—942no—
530C22×C4—942no—
531C22×C4—942no—
532C22×C4—942no—
533C22×C4—942no—
534C22×C4—942no—
535C22×C4—942no—
536C22×C4C2×C4×D4714yes—
537C22×C4C2×C4×D4714yes—
538C22×C4C2×C4×D4714yes—
539C22×C4Q8×D4714yes—
540C22×C4C23×D4712yes—
541C22×C4C23×D4712yes—
542C22×C4C23×D4712yes—
543C22×C4C23×D4712yes—
544C22×C4C23×D4712yes—
545C22×C4C23×D4712yes—
546C22×C4C23×D4712yes—
547C4⋊C4—44no—
548C4⋊C4—4716no—
549C4⋊C4—4716no—
550C4⋊C4—4716no—
551C4⋊C4—4716no—
552C4⋊C4—948no—
553C4⋊C4—948no—
554C4⋊C4—1884no—
555C4⋊C4—1884no—
556C4⋊C4—1884no—
557C42—44no—
558C42—4716no—
559C42—4716no—
560C42—948no—
561C42—1884no—
562C42—1884no—
563C42—1884no—
564C23C22×C4×D4712yes—
565C23C2×Q8×D4712yes—
566C23#41×D4712yes—
567C23#1309406912yes—
568C23#1309406912yes—
569C23#1309407112yes—
570C23#1309407212yes—
571C23C24×D4711yescharacteristic
572Q8—416no—
573Q8—18816no—
574C2×C4—28no—
575C2×C4—28no—
576C2×C4—28no—
577C2×C4—28no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—44no—
596C2×C4—44no—
597C2×C4—44no—
598C2×C4—4716no—
599C2×C4—474no—
600C2×C4—474no—
601C2×C4—474no—
602C2×C4—474no—
603C2×C4—474no—
604C2×C4—474no—
605C2×C4—474no—
606C2×C4—948no—
607C2×C4—948no—
608C2×C4—948no—
609C2×C4—948no—
610C2×C4—942no—
611C2×C4—942no—
612C2×C4—942no—
613C2×C4—942no—
614C2×C4—942no—
615C2×C4—942no—
616C2×C4—942no—
617C2×C4—942no—
618C2×C4—942no—
619C2×C4—942no—
620C2×C4—942no—
621C2×C4—942no—
622C2×C4—942no—
623C2×C4—942no—
624C2×C4—942no—
625C2×C4—942no—
626C2×C4—942no—
627C2×C4—1884no—
628C2×C4—1884no—
629C2×C4—1884no—
630C2×C4C22×C4×D4714yes—
631C2×C4C22×C4×D4714yes—
632C2×C4C22×C4×D4714yes—
633C2×C4C2×Q8×D4714yes—
634C22C4×Q8×D4714yes—
635C22#1568959614yes—
636C22#1568959914yes—
637C22#1568973714yes—
638C22#1568974314yes—
639C22#1568975014yes—
640C22#1568975214yes—
641C22C23×C4×D4711yescharacteristic
642C22C22×Q8×D4711yescharacteristic
643C22C2×#41×D4711yescharacteristic
644C22C2×#1309406911yescharacteristic
645C22C2×#1309406911yescharacteristic
646C22C2×#1309407111yescharacteristic
647C22C2×#1309407211yescharacteristic
648C4—24no—
649C4—24no—
650C4—24no—
651C4—24no—
652C4—42no—
653C4—42no—
654C4—42no—
655C4—478no—
656C4—944no—
657C4—944no—
658C4—944no—
659C4—944no—
660C4—1882no—
661C4—1882no—
662C4—1882no—
663C2#2024613118yesdirect product factor
664C2C2×C4×Q8×D4711yescharacteristic
665C2C2×#1568959611yescharacteristic
666C2C2×#1568959911yescharacteristic
667C2C2×#1568973711yescharacteristic
668C2C2×#1568974311yescharacteristic
669C2C2×#1568975011yescharacteristic
670C2C2×#1568975211yescharacteristic
subgroupG/H
centerC24C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC2×C47×#391C2
socle, prime radicalC24×C47C24
cosocleC23×C47C25
hypercenterC2×#391D47
hypocenterC47C2×#2331
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#391

Complements

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

NH ≅ G/Ntype
2. #20246131C2direct (N × H)
18. C2×#13094022C4semidirect
80. #13094022C2×C4semidirect
104. C2×C4×Dic47Q8semidirect
227. C4×Dic47C2×Q8semidirect
344. C2×C47#2331semidirect
403. C47C2×#2331semidirect
663. C2#20246131direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130940222
#202461312
C2×#156890302
C2×#156890272
C2×#156890202
C2×#156890182
C2×#156890102
C2×#156890072
C2×#156890052
C2×#156890042
C2×#156889872
C2×C4×Dic47⋊C42
C2×#156889742
C2×#156889682
C2×C47×#3912
C2×#233147