Finite Group Databasebeta

← C2×#20246400 #26375803

Subgroups — C2×#20246400 #26375803

Order 12032.

4782 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13093995C211yesmaximal, characteristic
2C22×C4×C22⋊D47C212yesmaximal, complemented
3C22×C4⋊C4×D47C211yesmaximal, characteristic, complemented
4#20246400C2116yesmaximal, direct product factor
5C2×#15689026C211yesmaximal, characteristic, complemented
6C2×#15689021C211yesmaximal, characteristic, complemented
7C2×#15689017C212yesmaximal, complemented
8C2×#15688999C212yesmaximal, complemented
9C2×#15688996C212yesmaximal, complemented
10C2×C4⋊C4×Dic47C211yesmaximal, characteristic, complemented
11C2×C4×(C2×D47)⋊C4C211yesmaximal, characteristic, complemented
12C22×C4×D4×C47C211yesmaximal, characteristic, complemented
13C23×C22⋊D47C2212yes—
14C23×C4×D47C2212yes—
15C23×C4×D47C2211yescharacteristic
16C2×#13093995C4116yescomplemented
17C2×#13093995C2218yes—
18C2×C4×C22⋊D47—216no—
19C2×C4×C22⋊D47C22116yescomplemented
20C22×C4⋊Dic47C2211yescharacteristic
21C22×C4⋊Dic47C2211yescharacteristic
22C22×Dic47⋊C4C2212yes—
23C22×Dic47⋊C4C2212yes—
24C2×C4⋊C4×D47—28no—
25C2×C4⋊C4×D47C2218yescomplemented
26C22×C22⋊Dic47C2212yes—
27C22×C22⋊Dic47C2212yes—
28C22×C22⋊Dic47C2212yes—
29C22×(C2×D47)⋊C4C2211yescharacteristic
30C22×(C2×D47)⋊C4C2211yescharacteristic
31C22×C4×Dic47C2212yes—
32C22×C4×Dic47C2211yescharacteristic
33#15689026C2218yescomplemented
34#15689021C2218yescomplemented
35#15689017C22116yescomplemented
36#15688999C22116yescomplemented
37#15688996C22116yescomplemented
38C4⋊C4×Dic47C2218yescomplemented
39C4×(C2×D47)⋊C4C2218yescomplemented
40C2×C47⋊#95C2211yescharacteristic
41C2×C47⋊#95C2212yes—
42C2×C47⋊#95C2212yes—
43C2×C47⋊#95C2211yescharacteristic
44C23×D4×C47C2211yescharacteristic
45C24×C4×C47C2212yes—
46C2×C4×D4×C47—28no—
47C2×C4×D4×C47C2218yescomplemented
48C22×C4⋊C4×C47C2211yescharacteristic
49C22×C22⋊C4×C47C2212yes—
50C22×C42×C47C2211yescharacteristic
51C24×D47C2311yescharacteristic
52C22×C22⋊D47—28no—
53C22×C22⋊D47—28no—
54C22×C22⋊D47C2×C4116yescomplemented
55C22×C22⋊D47C2318yes—
56C23×Dic47C2311yescharacteristic
57C23×Dic47C2312yes—
58C23×Dic47C2312yes—
59C23×Dic47C2311yescharacteristic
60C23×Dic47C2311yescharacteristic
61C22×C4×D47—24no—
62C22×C4×D47—24no—
63C22×C4×D47—28no—
64C22×C4×D47—28no—
65C22×C4×D47—44no—
66C22×C4×D47C2×C418yescomplemented
67C22×C4×D47C2318yes—
68C22×C4×D47C2314yes—
69#13093995C2×C4164yescomplemented
70C4×C22⋊D47—264no—
71C2×C4⋊Dic47—24no—
72C2×C4⋊Dic47C2×C418yescomplemented
73C2×C4⋊Dic47C2314yes—
74C2×C4⋊Dic47C2314yes—
75C2×Dic47⋊C4—28no—
76C2×Dic47⋊C4—28no—
77C2×Dic47⋊C4C2318yes—
78C2×Dic47⋊C4C2318yes—
79C4⋊C4×D47—232no—
80C2×C22⋊Dic47—28no—
81C2×C22⋊Dic47—44no—
82C2×C22⋊Dic47C2×C4116yescomplemented
83C2×C22⋊Dic47C2318yes—
84C2×C22⋊Dic47C2318yes—
85C2×C22⋊Dic47C2318yes—
86C2×(C2×D47)⋊C4—24no—
87C2×(C2×D47)⋊C4D418yescomplemented
88C2×(C2×D47)⋊C4C2314yes—
89C2×(C2×D47)⋊C4C2314yes—
90C2×C4×Dic47—24no—
91C2×C4×Dic47—28no—
92C2×C4×Dic47C2314yes—
93C2×C4×Dic47C2318yes—
94C47⋊#95C2314yes—
95C47⋊#95C2314yes—
96C47⋊#95C2318yes—
97C47⋊#95C2318yes—
98C25×C47C2312yes—
99C22×D4×C47—24no—
100C22×D4×C47—24no—
101C22×D4×C47C2×C418yescomplemented
102C22×D4×C47C2314yes—
103C23×C4×C47—28no—
104C23×C4×C47—28no—
105C23×C4×C47—44no—
106C23×C4×C47C2311yescharacteristic
107C23×C4×C47C2318yes—
108C23×C4×C47C2311yescharacteristic
109C23×C4×C47C2312yes—
110C23×C4×C47C2311yescharacteristic
111C4×D4×C47—232no—
112C2×C4⋊C4×C47D418yescomplemented
113C2×C4⋊C4×C47C2314yes—
114C2×C22⋊C4×C47—28no—
115C2×C22⋊C4×C47C2318yes—
116C2×C42×C47—24no—
117C2×C42×C47C2314yes—
118C24×C47—24no—
119C24×C47—24no—
120C24×C47—24no—
121C24×C47—24no—
122C24×C47—24no—
123C24×C47—24no—
124C24×C47C22×C418yes—
125C24×C47C2414yes—
126C24×C47C2411yescharacteristic
127C23×D47—22no—
128C23×D47—22no—
129C23×D47—22no—
130C23×D47—22no—
131C23×D47C22×C414yes—
132C23×D47C2×D414yes—
133C23×D47#4114yes—
134C23×D47C2412yes—
135C2×D4×C47—232no—
136C2×D4×C47—28no—
137C2×D4×C47—28no—
138C2×D4×C47C22×C4116yescomplemented
139C22×C4×C47—22no—
140C22×C4×C47—24no—
141C22×C4×C47—22no—
142C22×C4×C47—24no—
143C22×C4×C47—22no—
144C22×C4×C47—22no—
145C22×C4×C47—22no—
146C22×C4×C47—216no—
147C22×C4×C47—216no—
148C22×C4×C47—48no—
149C22×C4×C47—432no—
150C22×C4×C47C22×C414yes—
151C22×C4×C47C2×D414yes—
152C22×C4×C47C2×D418yes—
153C22×C4×C47C2×D414yes—
154C22×C4×C47#4114yes—
155C22×C4×C47C2412yes—
156C22×C4×C47C2412yes—
157C22×C4×C47C2414yes—
158C22×C4×C47C2412yes—
159C2×C22⋊D47—264no—
160C2×C22⋊D47—216no—
161C2×C22⋊D47—216no—
162C2×C22⋊D47C22×C4132yescomplemented
163C22×Dic47—24no—
164C22×Dic47—22no—
165C22×Dic47—22no—
166C22×Dic47—22no—
167C22×Dic47—24no—
168C22×Dic47—22no—
169C22×Dic47—24no—
170C22×Dic47—24no—
171C22×Dic47—22no—
172C22×Dic47—22no—
173C22×Dic47—22no—
174C22×Dic47—24no—
175C22×Dic47C22×C414yes—
176C22×Dic47C22×C418yes—
177C22×Dic47C2×D414yes—
178C22×Dic47C2412yes—
179C22×Dic47C2414yes—
180C22×Dic47C2414yes—
181C22×Dic47C2412yes—
182C22×Dic47C2412yes—
183C2×C4×D47—232no—
184C2×C4×D47—28no—
185C2×C4×D47—28no—
186C2×C4×D47—216no—
187C2×C4×D47—216no—
188C2×C4×D47—48no—
189C2×C4×D47—432no—
190C2×C4×D47C22×C4116yescomplemented
191C4⋊C4×C47C2×D4116yescomplemented
192C22⋊C4×C47—216no—
193C42×C47—28no—
194C22⋊Dic47—216no—
195C22⋊Dic47—48no—
196C22⋊Dic47C22×C4132yescomplemented
197(C2×D47)⋊C4—28no—
198(C2×D47)⋊C4C2×D4116yescomplemented
199C4⋊Dic47—28no—
200C4⋊Dic47C22×C4116yescomplemented
201Dic47⋊C4—216no—
202Dic47⋊C4—216no—
203C4×Dic47—28no—
204C4×Dic47—216no—
205C23×C47—216no—
206C23×C47—216no—
207C23×C47—216no—
208C23×C47—24no—
209C23×C47—24no—
210C23×C47—24no—
211C23×C47—24no—
212C23×C47—24no—
213C23×C47—24no—
214C23×C47—48no—
215C23×C47—48no—
216C23×C47—48no—
217C23×C47—48no—
218C23×C47C23×C418yes—
219C23×C47C23×C412yes—
220C23×C47C22×D412yes—
221C23×C47C22×D412yes—
222C23×C47C2×#4112yes—
223C23×C47C2×#4112yes—
224C23×C47H(5,𝔽2)12yes—
225C23×C472−1+412yes—
226C23×C47C2511yescharacteristic
227C22×D47—28no—
228C22×D47—28no—
229C22×D47—28no—
230C22×D47—28no—
231C22×D47—28no—
232C22×D47—28no—
233C22×D47—22no—
234C22×D47—22no—
235C22×D47—22no—
236C22×D47—22no—
237C22×D47C4×D4116yescomplemented
238C22×D47C23×C414yes—
239C22×D47C22×D414yes—
240C22×D47C2×#4114yes—
241D4×C47—232no—
242C2×C4×C47—216no—
243C2×C4×C47—28no—
244C2×C4×C47—24no—
245C2×C4×C47—22no—
246C2×C4×C47—24no—
247C2×C4×C47—22no—
248C2×C4×C47—22no—
249C2×C4×C47—22no—
250C2×C4×C47—22no—
251C2×C4×C47—432no—
252C2×C4×C47—44no—
253C2×C4×C47C4×D4116yescomplemented
254C2×C4×C47C23×C414yes—
255C2×C4×C47C22×D414yes—
256C2×C4×C47C22×D418yes—
257C2×C4×C47C22×D414yes—
258C2×C4×C47C2×#4114yes—
259C22⋊D47—264no—
260C2×Dic47—28no—
261C2×Dic47—216no—
262C2×Dic47—28no—
263C2×Dic47—24no—
264C2×Dic47—22no—
265C2×Dic47—22no—
266C2×Dic47—22no—
267C2×Dic47—24no—
268C2×Dic47—22no—
269C2×Dic47—24no—
270C2×Dic47—24no—
271C2×Dic47—22no—
272C2×Dic47—22no—
273C2×Dic47—22no—
274C2×Dic47—24no—
275C2×Dic47—48no—
276C2×Dic47—44no—
277C2×Dic47C23×C418yes—
278C2×Dic47C23×C414yes—
279C2×Dic47C22×D414yes—
280C4×D47—232no—
281C4×D47—432no—
282C2×#2361—471nomaximal, Sylow
283C22×C47—28no—
284C22×C47—28no—
285C22×C47—28no—
286C22×C47—432no—
287C22×C47—44no—
288C22×C47—44no—
289C22×C47—44no—
290C22×C47—44no—
291C22×C47C2×C4×D414yes—
292C22×C47C2×C4×D414yes—
293C22×C47#52014yes—
294C22×C47D4214yes—
295C22×C47#54714yes—
296C22×C47#54814yes—
297C22×C47#55314yes—
298C22×C47C24×C411yescharacteristic
299C22×C47C23×D411yescharacteristic
300C22×C47C23×D411yescharacteristic
301C22×C47C22×#4111yescharacteristic
302C22×C47C22×#4111yescharacteristic
303C22×C47C2×H(5,𝔽2)11yescharacteristic
304C22×C47C2×2−1+411yescharacteristic
305C2×D47—232no—
306C2×D47—24no—
307C2×D47—24no—
308C2×D47—24no—
309C2×D47—24no—
310C2×D47—24no—
311C2×D47—24no—
312C2×D47C2×C4×D418yescomplemented
313C4×C47—28no—
314C4×C47—24no—
315C4×C47—42no—
316C4×C47C2×C4×D418yescomplemented
317Dic47—24no—
318Dic47—28no—
319Dic47—24no—
320Dic47—44no—
321Dic47—42no—
322C22×#121—471no—
323C22×C4×D4—472no—
324C22×C4×D4D4711yescharacteristic, complemented
325C23×C4⋊C4—471no—
326#2361—4716no—
327C2×#390—471no—
328C2×#389—471no—
329C2×#388—472no—
330C2×#386—472no—
331C2×#385—472no—
332C2×C4×C4⋊C4—471no—
333C2×C4×C22⋊C4—471no—
334C2×C47—48no—
335C2×C47#236118yescomplemented
336C2×C47C22×C4×D411yescharacteristic
337C2×C47C22×C4×D411yescharacteristic
338C2×C47C2×#52011yescharacteristic
339C2×C47C2×D4211yescharacteristic
340C2×C47C2×#54711yescharacteristic
341C2×C47C2×#54811yescharacteristic
342C2×C47C2×#55311yescharacteristic
343D47—28no—
344C23×D4—472no—
345C23×D4C2×D4711yescharacteristic
346C24×C4—471no—
347C24×C4—472no—
348C24×C4C2×D4712yes—
349C2×#121—4716no—
350C2×#121—478no—
351C2×C4×D4—28no—
352C2×C4×D4—4716no—
353C2×C4×D4—9416no—
354C2×C4×D4C2×D4718yescomplemented
355C22×C4⋊C4—471no—
356C22×C4⋊C4—472no—
357C22×C4⋊C4—471no—
358C22×C4⋊C4—472no—
359C22×C4⋊C4—478no—
360C22×C4⋊C4—948no—
361C22×C4⋊C4C2×D4711yescharacteristic
362C22×C22⋊C4—472no—
363C22×C22⋊C4—471no—
364C22×C22⋊C4—472no—
365C22×C22⋊C4—471no—
366C22×C22⋊C4—472no—
367C22×C22⋊C4C2×D4712yes—
368C22×C42—472no—
369C22×C42—471no—
370C22×C42C2×D4711yescharacteristic
371#390—478no—
372#389—478no—
373#388—4716no—
374#386—4716no—
375#385—4716no—
376C4×C4⋊C4—478no—
377C4×C22⋊C4—478no—
378C2×#95—471no—
379C2×#95—471no—
380C2×#95—472no—
381C2×#95—472no—
382C47C2×#236111yescharacteristic, complemented, Sylow
383C25—471no—
384C25C22×D4712yes—
385C22×D4—24no—
386C22×D4—24no—
387C22×D4—4716no—
388C22×D4—478no—
389C22×D4—948no—
390C22×D4—948no—
391C22×D4C4×D4718yescomplemented
392C22×D4C22×D4714yes—
393C23×C4—28no—
394C23×C4—28no—
395C23×C4—44no—
396C23×C4—471no—
397C23×C4—471no—
398C23×C4—472no—
399C23×C4—478no—
400C23×C4—474no—
401C23×C4—471no—
402C23×C4—472no—
403C23×C4—478no—
404C23×C4—948no—
405C23×C4—944no—
406C23×C4—944no—
407C23×C4—948no—
408C23×C4—1884no—
409C23×C4C22×D4711yescharacteristic
410C23×C4C22×D4718yes—
411C23×C4C22×D4711yescharacteristic
412C23×C4C22×D4712yes—
413C23×C4C22×D4711yescharacteristic
414#121—4764no—
415C4×D4—232no—
416C4×D4—9464no—
417C2×C4⋊C4—478no—
418C2×C4⋊C4—474no—
419C2×C4⋊C4—478no—
420C2×C4⋊C4—474no—
421C2×C4⋊C4—478no—
422C2×C4⋊C4—948no—
423C2×C4⋊C4—948no—
424C2×C4⋊C4—944no—
425C2×C4⋊C4—9432no—
426C2×C4⋊C4C22⋊D4718yescomplemented
427C2×C4⋊C4C22×D4714yes—
428C2×C22⋊C4—28no—
429C2×C22⋊C4—4716no—
430C2×C22⋊C4—478no—
431C2×C22⋊C4—478no—
432C2×C22⋊C4—474no—
433C2×C22⋊C4—478no—
434C2×C22⋊C4—474no—
435C2×C22⋊C4—478no—
436C2×C22⋊C4—944no—
437C2×C22⋊C4—948no—
438C2×C22⋊C4—1884no—
439C2×C22⋊C4C22×D4718yes—
440C2×C42—24no—
441C2×C42—478no—
442C2×C42—474no—
443C2×C42—948no—
444C2×C42—944no—
445C2×C42C22×D4714yes—
446#95—474no—
447#95—474no—
448#95—478no—
449#95—478no—
450C24—24no—
451C24—24no—
452C24—24no—
453C24—24no—
454C24—24no—
455C24—24no—
456C24—474no—
457C24—474no—
458C24—474no—
459C24—472no—
460C24—942no—
461C24—942no—
462C24—942no—
463C24—942no—
464C24C2×C4×D4718yes—
465C24C23×D4714yes—
466C24C23×D4711yescharacteristic
467C2×D4—232no—
468C2×D4—28no—
469C2×D4—28no—
470C2×D4—4732no—
471C2×D4—9416no—
472C2×D4—9464no—
473C2×D4—9416no—
474C2×D4C2×C4×D47116yescomplemented
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—216no—
483C22×C4—216no—
484C22×C4—48no—
485C22×C4—432no—
486C22×C4—474no—
487C22×C4—478no—
488C22×C4—474no—
489C22×C4—474no—
490C22×C4—472no—
491C22×C4—472no—
492C22×C4—4716no—
493C22×C4—472no—
494C22×C4—474no—
495C22×C4—9416no—
496C22×C4—944no—
497C22×C4—942no—
498C22×C4—944no—
499C22×C4—942no—
500C22×C4—942no—
501C22×C4—942no—
502C22×C4—9432no—
503C22×C4—948no—
504C22×C4—948no—
505C22×C4—944no—
506C22×C4—944no—
507C22×C4—942no—
508C22×C4—942no—
509C22×C4—942no—
510C22×C4—944no—
511C22×C4—9416no—
512C22×C4—1888no—
513C22×C4—18832no—
514C22×C4C2×C4×D4714yes—
515C22×C4#1062535014yes—
516C22×C4D4×D4714yes—
517C22×C4C2×C22⋊D4718yes—
518C22×C4C2×C22⋊D4714yes—
519C22×C4C23×D4712yes—
520C22×C4C23×D4712yes—
521C22×C4C23×D4714yes—
522C22×C4C23×D4712yes—
523C4⋊C4—4716no—
524C4⋊C4—9416no—
525C4⋊C4—9416no—
526C4⋊C4—948no—
527C4⋊C4C2×C22⋊D47116yescomplemented
528C22⋊C4—216no—
529C22⋊C4—4732no—
530C22⋊C4—4716no—
531C22⋊C4—948no—
532C22⋊C4—9416no—
533C22⋊C4—1888no—
534C42—28no—
535C42—9416no—
536C42—948no—
537C23—216no—
538C23—216no—
539C23—216no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—24no—
546C23—48no—
547C23—48no—
548C23—48no—
549C23—48no—
550C23—4716no—
551C23—474no—
552C23—474no—
553C23—474no—
554C23—948no—
555C23—948no—
556C23—948no—
557C23—948no—
558C23—948no—
559C23—948no—
560C23—942no—
561C23—942no—
562C23—942no—
563C23—942no—
564C23C22×C4×D4718yes—
565C23C22×C4×D4712yes—
566C23C2×D4×D4712yes—
567C23C22×C22⋊D4712yes—
568C23#41×D4712yes—
569C23C2×#1062535012yes—
570C23#1309406912yes—
571C23#1309407112yes—
572C23C24×D4711yescharacteristic
573D4—232no—
574D4—9464no—
575C2×C4—28no—
576C2×C4—216no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—432no—
585C2×C4—44no—
586C2×C4—474no—
587C2×C4—478no—
588C2×C4—474no—
589C2×C4—948no—
590C2×C4—9416no—
591C2×C4—948no—
592C2×C4—944no—
593C2×C4—942no—
594C2×C4—944no—
595C2×C4—942no—
596C2×C4—942no—
597C2×C4—942no—
598C2×C4—9432no—
599C2×C4—944no—
600C2×C4—944no—
601C2×C4—942no—
602C2×C4—942no—
603C2×C4—942no—
604C2×C4—944no—
605C2×C4—18832no—
606C2×C4—1888no—
607C2×C4—1884no—
608C2×C4C4×C22⋊D47116yescomplemented
609C2×C4C22×C4×D4714yes—
610C2×C4C2×D4×D4714yes—
611C2×C4C22×C22⋊D4718yes—
612C2×C4C22×C22⋊D4714yes—
613C2×C4C2×#1062535014yes—
614C22—28no—
615C22—28no—
616C22—28no—
617C22—44no—
618C22—44no—
619C22—44no—
620C22—432no—
621C22—44no—
622C22—478no—
623C22—944no—
624C22—944no—
625C22—944no—
626C22—944no—
627C22—944no—
628C22—9432no—
629C22—944no—
630C22C4×D4×D4714yes—
631C22C2×C4×C22⋊D4714yes—
632C22#1568960214yes—
633C22D4×C22⋊D4714yes—
634C22#1568977814yes—
635C22#1568978014yes—
636C22#1568982314yes—
637C22C23×C4×D4711yescharacteristic
638C22C22×D4×D4711yescharacteristic
639C22C23×C22⋊D4711yescharacteristic
640C22C2×#41×D4711yescharacteristic
641C22C22×#1062535011yescharacteristic
642C22C2×#1309406911yescharacteristic
643C22C2×#1309407111yescharacteristic
644C4—24no—
645C4—28no—
646C4—42no—
647C4—948no—
648C4—944no—
649C4—944no—
650C4—1884no—
651C4—1882no—
652C4C2×C4×C22⋊D4718yescomplemented
653C2—48no—
654C2—948no—
655C2#2024640018yesdirect product factor
656C2C2×C4×D4×D4711yescharacteristic
657C2C22×C4×C22⋊D4711yescharacteristic
658C2C2×#1568960211yescharacteristic
659C2C2×D4×C22⋊D4711yescharacteristic
660C2C2×#1568977811yescharacteristic
661C2C2×#1568978011yescharacteristic
662C2C2×#1568982311yescharacteristic
subgroupG/H
centerC24C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC22×C4×D4×C47C2
socleC24×C47C24
prime radicalC22×#13093995C2
cosocleC23×C47C25
hypercenterC22×C4×D4D47
hypocenterC47C2×#2361
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
2. C22×C4×C22⋊D47C2semidirect
3. C22×C4⋊C4×D47C2semidirect
4. #20246400C2direct (N × H)
5. C2×#15689026C2semidirect
6. C2×#15689021C2semidirect
7. C2×#15689017C2semidirect
8. C2×#15688999C2semidirect
9. C2×#15688996C2semidirect
10. C2×C4⋊C4×Dic47C2semidirect
11. C2×C4×(C2×D47)⋊C4C2semidirect
12. C22×C4×D4×C47C2semidirect
16. C2×#13093995C4semidirect
19. C2×C4×C22⋊D47C22semidirect
25. C2×C4⋊C4×D47C22semidirect
33. #15689026C22semidirect
34. #15689021C22semidirect
35. #15689017C22semidirect
36. #15688999C22semidirect
37. #15688996C22semidirect
38. C4⋊C4×Dic47C22semidirect
39. C4×(C2×D47)⋊C4C22semidirect
47. C2×C4×D4×C47C22semidirect
54. C22×C22⋊D47C2×C4semidirect
66. C22×C4×D47C2×C4semidirect
69. #13093995C2×C4semidirect
72. C2×C4⋊Dic47C2×C4semidirect
82. C2×C22⋊Dic47C2×C4semidirect
87. C2×(C2×D47)⋊C4D4semidirect
101. C22×D4×C47C2×C4semidirect
112. C2×C4⋊C4×C47D4semidirect
138. C2×D4×C47C22×C4semidirect
162. C2×C22⋊D47C22×C4semidirect
190. C2×C4×D47C22×C4semidirect
191. C4⋊C4×C47C2×D4semidirect
196. C22⋊Dic47C22×C4semidirect
198. (C2×D47)⋊C4C2×D4semidirect
200. C4⋊Dic47C22×C4semidirect
237. C22×D47C4×D4semidirect
253. C2×C4×C47C4×D4semidirect
312. C2×D47C2×C4×D4semidirect
316. C4×C47C2×C4×D4semidirect
324. C22×C4×D4D47semidirect
335. C2×C47#2361semidirect
354. C2×C4×D4C2×D47semidirect
382. C47C2×#2361semidirect
391. C22×D4C4×D47semidirect
426. C2×C4⋊C4C22⋊D47semidirect
474. C2×D4C2×C4×D47semidirect
527. C4⋊C4C2×C22⋊D47semidirect
608. C2×C4C4×C22⋊D47semidirect
652. C4C2×C4×C22⋊D47semidirect
655. C2#20246400direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130939952
C22×C4×C22⋊D472
C22×C4⋊C4×D472
#202464002
C2×#156890262
C2×#156890212
C2×#156890172
C2×#156889992
C2×#156889962
C2×C4⋊C4×Dic472
C2×C4×(C2×D47)⋊C42
C22×C4×D4×C472
C2×#236147