Finite Group Databasebeta

← C2×#20246082 #26375033

Subgroups — C2×#20246082 #26375033

Order 12032.

3934 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13093999C211yesmaximal, characteristic
2C22×C4×D188C211yesmaximal, characteristic, complemented
3C22×#13093981C211yesmaximal, characteristic, complemented
4#20246082C2116yesmaximal, direct product factor
5C2×#15689025C212yesmaximal, complemented
6C2×#15689024C211yesmaximal, characteristic, complemented
7C2×#15689022C211yesmaximal, characteristic, complemented
8C2×#15689014C212yesmaximal, complemented
9C2×#15689001C212yesmaximal, complemented
10C2×#15688997C212yesmaximal, complemented
11C2×#15688980C211yesmaximal, characteristic, complemented
12C2×C4×C4⋊C4×C47C211yesmaximal, characteristic, complemented
13C23×D188C2211yescharacteristic
14C23×D188C2212yes—
15C23×C4×D47C2211yescharacteristic
16C23×C4×D47C2212yes—
17C2×#13093999C4116yescomplemented
18C2×#13093999C2218yes—
19C2×C4×D188—28no—
20C2×C4×D188C2218yescomplemented
21C2×#13093981—28no—
22C2×#13093981C2218yescomplemented
23C22×C4⋊Dic47C2211yescharacteristic
24C22×C4⋊Dic47C2212yes—
25C22×Dic47⋊C4C2211yescharacteristic
26C22×Dic47⋊C4C2211yescharacteristic
27C22×(C2×D47)⋊C4C2211yescharacteristic
28C22×(C2×D47)⋊C4C2211yescharacteristic
29C22×(C2×D47)⋊C4C2212yes—
30C22×(C2×D47)⋊C4C2212yes—
31C22×(C2×D47)⋊C4C2212yes—
32C22×(C2×D47)⋊C4C2212yes—
33C22×(C2×D47)⋊C4C2212yes—
34C22×C4×Dic47C2211yescharacteristic
35#15689025C22116yescomplemented
36#15689024C2218yescomplemented
37#15689022C2218yescomplemented
38#15689014C22116yescomplemented
39#15689001C22116yescomplemented
40#15688997C22116yescomplemented
41#15688980C2218yescomplemented
42C2×C47⋊#95C2212yes—
43C2×C47⋊#95C2212yes—
44C22×C4⋊C4×C47C2211yescharacteristic
45C22×C4⋊C4×C47C2211yescharacteristic
46C22×C42×C47C2212yes—
47C22×C42×C47C2211yescharacteristic
48C4×C4⋊C4×C47C2218yescomplemented
49C2×#95×C47C2212yes—
50C24×D47C2311yescharacteristic
51C24×D47C2312yes—
52C22×D188—24no—
53C22×D188—24no—
54C22×D188—44no—
55C22×D188—44no—
56C22×D188C2×C418yes—
57C22×D188C2×C4116yescomplemented
58C22×D188C2314yes—
59C22×D188C2318yes—
60C23×Dic47C2311yescharacteristic
61C23×Dic47C2312yes—
62C23×Dic47C2311yescharacteristic
63C23×Dic47C2311yescharacteristic
64C22×C4×D47—24no—
65C22×C4×D47—24no—
66C22×C4×D47—28no—
67C22×C4×D47—44no—
68C22×C4×D47—44no—
69C22×C4×D47C2×C418yescomplemented
70C22×C4×D47C2314yes—
71C22×C4×D47C2318yes—
72#13093999C2×C4164yescomplemented
73C4×D188—232no—
74#13093981—232no—
75C2×C4⋊Dic47—24no—
76C2×C4⋊Dic47—44no—
77C2×C4⋊Dic47C2314yes—
78C2×C4⋊Dic47C2318yes—
79C2×Dic47⋊C4—24no—
80C2×Dic47⋊C4—24no—
81C2×Dic47⋊C4C2314yes—
82C2×Dic47⋊C4C2314yes—
83C2×(C2×D47)⋊C4—24no—
84C2×(C2×D47)⋊C4—24no—
85C2×(C2×D47)⋊C4—28no—
86C2×(C2×D47)⋊C4—44no—
87C2×(C2×D47)⋊C4—44no—
88C2×(C2×D47)⋊C4—44no—
89C2×(C2×D47)⋊C4C2×C4116yescomplemented
90C2×(C2×D47)⋊C4C2314yes—
91C2×(C2×D47)⋊C4C2318yes—
92C2×(C2×D47)⋊C4C2314yes—
93C2×(C2×D47)⋊C4C2318yes—
94C2×(C2×D47)⋊C4C2318yes—
95C2×(C2×D47)⋊C4C2318yes—
96C2×(C2×D47)⋊C4C2318yes—
97C2×C4×Dic47—24no—
98C2×C4×Dic47C2314yes—
99C47⋊#95C2318yes—
100C47⋊#95C2318yes—
101C23×C4×C47C2312yes—
102C23×C4×C47C2312yes—
103C23×C4×C47C2311yescharacteristic
104C23×C4×C47C2311yescharacteristic
105C23×C4×C47C2311yescharacteristic
106C2×C4⋊C4×C47—24no—
107C2×C4⋊C4×C47C2×C418yescomplemented
108C2×C4⋊C4×C47C2314yes—
109C2×C4⋊C4×C47C2314yes—
110C2×C42×C47—44no—
111C2×C42×C47D418yescomplemented
112C2×C42×C47C2318yes—
113C2×C42×C47C2314yes—
114#95×C47C2318yes—
115C24×C47C2411yescharacteristic
116C23×D47—22no—
117C23×D47—24no—
118C23×D47—22no—
119C23×D47—24no—
120C23×D47—22no—
121C23×D47—24no—
122C23×D47—24no—
123C23×D47—24no—
124C23×D47—22no—
125C23×D47—22no—
126C23×D47—22no—
127C23×D47—24no—
128C23×D47C22×C418yes—
129C23×D47C22×C414yes—
130C23×D47C2412yes—
131C23×D47C2414yes—
132C22×C4×C47—22no—
133C22×C4×C47—24no—
134C22×C4×C47—24no—
135C22×C4×C47—22no—
136C22×C4×C47—22no—
137C22×C4×C47—22no—
138C22×C4×C47—24no—
139C22×C4×C47—24no—
140C22×C4×C47—24no—
141C22×C4×C47C22×C418yes—
142C22×C4×C47C22×C414yes—
143C22×C4×C47C2×D414yes—
144C22×C4×C47C2×D414yes—
145C22×C4×C47C2×D414yes—
146C22×C4×C47#4114yes—
147C22×C4×C47C2414yes—
148C22×C4×C47C2414yes—
149C22×C4×C47C2412yes—
150C22×C4×C47C2412yes—
151C22×C4×C47C2412yes—
152C22×Dic47—22no—
153C22×Dic47—22no—
154C22×Dic47—22no—
155C22×Dic47—22no—
156C22×Dic47—24no—
157C22×Dic47—22no—
158C22×Dic47—22no—
159C22×Dic47—24no—
160C22×Dic47—22no—
161C22×Dic47—24no—
162C22×Dic47—22no—
163C22×Dic47C22×C414yes—
164C22×Dic47C2412yes—
165C22×Dic47C2414yes—
166C22×Dic47C2412yes—
167C22×Dic47C2412yes—
168C2×D188—232no—
169C2×D188—28no—
170C2×D188—28no—
171C2×D188—432no—
172C2×D188—48no—
173C2×D188—48no—
174C2×D188C22×C4116yes—
175C2×D188C22×C4132yescomplemented
176C2×C4×D47—232no—
177C2×C4×D47—28no—
178C2×C4×D47—28no—
179C2×C4×D47—216no—
180C2×C4×D47—48no—
181C2×C4×D47—48no—
182C2×C4×D47—432no—
183C2×C4×D47C22×C4116yescomplemented
184C4⋊C4×C47—28no—
185C4⋊C4×C47C22×C4116yescomplemented
186C42×C47—48no—
187C42×C47C2×D4116yescomplemented
188(C2×D47)⋊C4—28no—
189(C2×D47)⋊C4—28no—
190(C2×D47)⋊C4—216no—
191(C2×D47)⋊C4—48no—
192(C2×D47)⋊C4—48no—
193(C2×D47)⋊C4—48no—
194(C2×D47)⋊C4C22×C4132yescomplemented
195C4⋊Dic47—28no—
196C4⋊Dic47—48no—
197Dic47⋊C4—28no—
198Dic47⋊C4—28no—
199C4×Dic47—28no—
200C23×C47C23×C412yes—
201C23×C47C22×D412yes—
202C23×C47C2×#4112yes—
203C23×C47H(5,𝔽2)12yes—
204C23×C47H(5,𝔽2)12yes—
205C23×C47H(5,𝔽2)12yes—
206C23×C472−1+412yes—
207C23×C47C2511yescharacteristic
208C22×D47—28no—
209C22×D47—216no—
210C22×D47—28no—
211C22×D47—216no—
212C22×D47—28no—
213C22×D47—216no—
214C22×D47—22no—
215C22×D47—24no—
216C22×D47—22no—
217C22×D47—24no—
218C22×D47—22no—
219C22×D47—24no—
220C22×D47—24no—
221C22×D47—24no—
222C22×D47—22no—
223C22×D47—22no—
224C22×D47—22no—
225C22×D47—24no—
226C22×D47—48no—
227C22×D47—44no—
228C22×D47—44no—
229C22×D47—48no—
230C22×D47—44no—
231C22×D47—48no—
232C22×D47—44no—
233C22×D47—48no—
234C22×D47C23×C418yes—
235C22×D47C23×C414yes—
236C2×C4×C47—216no—
237C2×C4×C47—28no—
238C2×C4×C47—28no—
239C2×C4×C47—24no—
240C2×C4×C47—22no—
241C2×C4×C47—24no—
242C2×C4×C47—22no—
243C2×C4×C47—22no—
244C2×C4×C47—22no—
245C2×C4×C47—24no—
246C2×C4×C47—24no—
247C2×C4×C47—24no—
248C2×C4×C47—48no—
249C2×C4×C47C4×D4116yes—
250C2×C4×C47C23×C418yes—
251C2×C4×C47C23×C414yes—
252C2×C4×C47C22×D414yes—
253C2×C4×C47C22×D414yes—
254C2×C4×C47C22×D414yes—
255C2×C4×C47C2×#4114yes—
256C2×Dic47—28no—
257C2×Dic47—22no—
258C2×Dic47—22no—
259C2×Dic47—22no—
260C2×Dic47—22no—
261C2×Dic47—24no—
262C2×Dic47—22no—
263C2×Dic47—24no—
264C2×Dic47—22no—
265C2×Dic47—22no—
266C2×Dic47—24no—
267C2×Dic47—22no—
268C2×Dic47—48no—
269C2×Dic47—44no—
270C2×Dic47—44no—
271C2×Dic47C23×C414yes—
272D188—232no—
273D188—432no—
274C4×D47—232no—
275C4×D47—432no—
276C2×#2324—471nomaximal, Sylow
277C22×C47C2×C4×D414yes—
278C22×C47#51814yes—
279C22×C47#52014yes—
280C22×C47#53514yes—
281C22×C47#53714yes—
282C22×C47#54014yes—
283C22×C47#54214yes—
284C22×C47C24×C411yescharacteristic
285C22×C47C23×D411yescharacteristic
286C22×C47C22×#4111yescharacteristic
287C22×C47C2×H(5,𝔽2)11yescharacteristic
288C22×C47C2×H(5,𝔽2)11yescharacteristic
289C22×C47C2×H(5,𝔽2)11yescharacteristic
290C22×C47C2×2−1+411yescharacteristic
291C2×D47—24no—
292C2×D47—28no—
293C2×D47—24no—
294C2×D47—28no—
295C2×D47—24no—
296C2×D47—28no—
297C2×D47—416no—
298C2×D47—432no—
299C2×D47—44no—
300C2×D47—42no—
301C2×D47—42no—
302C2×D47—44no—
303C2×D47—42no—
304C2×D47—44no—
305C2×D47—42no—
306C2×D47—44no—
307C4×C47—28no—
308C4×C47—24no—
309C4×C47—24no—
310C4×C47—44no—
311C4×C47C2×C4×D418yes—
312Dic47—24no—
313Dic47—44no—
314Dic47—42no—
315Dic47—42no—
316C22×#121—471no—
317C22×C4×D4—471no—
318C22×#117—471no—
319#2324—4716no—
320C2×#390—472no—
321C2×#390—471no—
322C2×#389—471no—
323C2×#388—472no—
324C2×#386—472no—
325C2×#385—472no—
326C2×#380—471no—
327C2×C4×C4⋊C4D4711yescharacteristic, complemented
328C2×C47#232418yescomplemented
329C2×C47C22×C4×D411yescharacteristic
330C2×C47C2×#51811yescharacteristic
331C2×C47C2×#52011yescharacteristic
332C2×C47C2×#53511yescharacteristic
333C2×C47C2×#53711yescharacteristic
334C2×C47C2×#54011yescharacteristic
335C2×C47C2×#54211yescharacteristic
336D47—44no—
337D47—48no—
338C23×D4—471no—
339C23×D4—472no—
340C24×C4—471no—
341C24×C4—472no—
342C2×#121—4716no—
343C2×#121—478no—
344C2×C4×D4—478no—
345C2×C4×D4—948no—
346C2×#117—478no—
347C2×#117—948no—
348C22×C4⋊C4—471no—
349C22×C4⋊C4—471no—
350C22×C4⋊C4—471no—
351C22×C4⋊C4—472no—
352C22×C4⋊C4C2×D4711yescharacteristic
353C22×C4⋊C4C2×D4711yescharacteristic
354C22×C22⋊C4—472no—
355C22×C22⋊C4—471no—
356C22×C22⋊C4—471no—
357C22×C22⋊C4—472no—
358C22×C22⋊C4—472no—
359C22×C22⋊C4—472no—
360C22×C22⋊C4—472no—
361C22×C42—471no—
362C22×C42C2×D4712yes—
363C22×C42C2×D4711yescharacteristic
364#390—478no—
365#390—4716no—
366#389—478no—
367#388—4716no—
368#386—4716no—
369#385—4716no—
370#380—478no—
371C4×C4⋊C4C2×D4718yescomplemented
372C2×#95—472no—
373C2×#95—472no—
374C2×#95C2×D4712yes—
375C47C2×#232411yescharacteristic, complemented, Sylow
376C25—472no—
377C25—471no—
378C22×D4—478no—
379C22×D4—4716no—
380C22×D4—474no—
381C22×D4—478no—
382C22×D4—944no—
383C22×D4—944no—
384C22×D4—1884no—
385C22×D4—1884no—
386C23×C4—471no—
387C23×C4—478no—
388C23×C4—474no—
389C23×C4—471no—
390C23×C4—471no—
391C23×C4—472no—
392C23×C4—478no—
393C23×C4—944no—
394C23×C4—944no—
395C23×C4—948no—
396C23×C4—1884no—
397C23×C4—1884no—
398C23×C4C22×D4712yes—
399C23×C4C22×D4712yes—
400C23×C4C22×D4711yescharacteristic
401C23×C4C22×D4711yescharacteristic
402C23×C4C22×D4711yescharacteristic
403#121—4764no—
404C4×D4—9432no—
405#117—9432no—
406C2×C4⋊C4—24no—
407C2×C4⋊C4—474no—
408C2×C4⋊C4—474no—
409C2×C4⋊C4—474no—
410C2×C4⋊C4—478no—
411C2×C4⋊C4—944no—
412C2×C4⋊C4—944no—
413C2×C4⋊C4—944no—
414C2×C4⋊C4—1884no—
415C2×C4⋊C4C4×D4718yescomplemented
416C2×C4⋊C4C22×D4714yes—
417C2×C4⋊C4C22×D4714yes—
418C2×C22⋊C4—4716no—
419C2×C22⋊C4—478no—
420C2×C22⋊C4—474no—
421C2×C22⋊C4—474no—
422C2×C22⋊C4—478no—
423C2×C22⋊C4—478no—
424C2×C22⋊C4—478no—
425C2×C22⋊C4—478no—
426C2×C22⋊C4—944no—
427C2×C22⋊C4—944no—
428C2×C22⋊C4—948no—
429C2×C22⋊C4—1884no—
430C2×C22⋊C4—1884no—
431C2×C22⋊C4—1884no—
432C2×C42—44no—
433C2×C42—474no—
434C2×C42—944no—
435C2×C42D18818yescomplemented
436C2×C42C22×D4718yes—
437C2×C42C22×D4714yes—
438#95—478no—
439#95—478no—
440#95C22×D4718yes—
441C24—478no—
442C24—474no—
443C24—474no—
444C24—472no—
445C24—942no—
446C24—944no—
447C24—942no—
448C24—944no—
449C24—944no—
450C24—942no—
451C24—942no—
452C24—944no—
453C24—944no—
454C24—942no—
455C24—944no—
456C24—942no—
457C24C23×D4711yescharacteristic
458C2×D4—4716no—
459C2×D4—4732no—
460C2×D4—9432no—
461C2×D4—948no—
462C2×D4—948no—
463C2×D4—18832no—
464C2×D4—1888no—
465C2×D4—1888no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—474no—
476C22×C4—472no—
477C22×C4—4716no—
478C22×C4—472no—
479C22×C4—474no—
480C22×C4—472no—
481C22×C4—942no—
482C22×C4—942no—
483C22×C4—9432no—
484C22×C4—948no—
485C22×C4—948no—
486C22×C4—942no—
487C22×C4—942no—
488C22×C4—944no—
489C22×C4—942no—
490C22×C4—942no—
491C22×C4—944no—
492C22×C4—942no—
493C22×C4—944no—
494C22×C4—942no—
495C22×C4—9416no—
496C22×C4—1888no—
497C22×C4—1888no—
498C22×C4—18832no—
499C22×C4C2×C4×D4718yes—
500C22×C4C2×C4×D4714yes—
501C22×C4C2×D18814yes—
502C22×C4C2×D18814yes—
503C22×C4C2×D18814yes—
504C22×C4#1062535014yes—
505C22×C4C23×D4714yes—
506C22×C4C23×D4714yes—
507C22×C4C23×D4712yes—
508C22×C4C23×D4712yes—
509C22×C4C23×D4712yes—
510C4⋊C4—28no—
511C4⋊C4—948no—
512C4⋊C4—948no—
513C4⋊C4—948no—
514C4⋊C4—1888no—
515C4⋊C4C2×C4×D47116yescomplemented
516C22⋊C4—4732no—
517C22⋊C4—948no—
518C22⋊C4—948no—
519C22⋊C4—9416no—
520C22⋊C4—1888no—
521C22⋊C4—1888no—
522C22⋊C4—1888no—
523C42—48no—
524C42—948no—
525C42C2×D188116yescomplemented
526C23—478no—
527C23—474no—
528C23—948no—
529C23—9416no—
530C23—948no—
531C23—9416no—
532C23—9416no—
533C23—948no—
534C23—942no—
535C23—944no—
536C23—942no—
537C23—944no—
538C23—944no—
539C23—942no—
540C23—942no—
541C23—944no—
542C23—944no—
543C23—942no—
544C23—944no—
545C23—942no—
546C23—1884no—
547C23—1888no—
548C23—1888no—
549C23—1884no—
550C23—1884no—
551C23—1888no—
552C23—1884no—
553C23—1888no—
554C23C22×C4×D4712yes—
555C23C22×D18812yes—
556C23C2×#1062535012yes—
557C23#1309406912yes—
558C23#1309407012yes—
559C23#1309407012yes—
560C23#1309407212yes—
561C23C24×D4711yescharacteristic
562D4—9432no—
563D4—18832no—
564C2×C4—216no—
565C2×C4—28no—
566C2×C4—22no—
567C2×C4—24no—
568C2×C4—24no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—28no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—48no—
577C2×C4—474no—
578C2×C4—948no—
579C2×C4—942no—
580C2×C4—942no—
581C2×C4—9432no—
582C2×C4—942no—
583C2×C4—942no—
584C2×C4—944no—
585C2×C4—942no—
586C2×C4—942no—
587C2×C4—944no—
588C2×C4—942no—
589C2×C4—944no—
590C2×C4—942no—
591C2×C4—18832no—
592C2×C4—1884no—
593C2×C4—1888no—
594C2×C4—1884no—
595C2×C4C4×D188116yes—
596C2×C4C22×C4×D4718yes—
597C2×C4C22×C4×D4714yes—
598C2×C4C22×D18814yes—
599C2×C4C22×D18814yes—
600C2×C4C22×D18814yes—
601C2×C4C2×#1062535014yes—
602C22—944no—
603C22—948no—
604C22—944no—
605C22—948no—
606C22—948no—
607C22—944no—
608C22—18816no—
609C22—18832no—
610C22—1884no—
611C22—1882no—
612C22—1882no—
613C22—1884no—
614C22—1882no—
615C22—1884no—
616C22—1882no—
617C22—1884no—
618C22C2×C4×D18814yes—
619C22#1568959514yes—
620C22#1568960514yes—
621C22#1568969214yes—
622C22#1568970414yes—
623C22#1568972414yes—
624C22#1568974514yes—
625C22C23×C4×D4711yescharacteristic
626C22C23×D18811yescharacteristic
627C22C22×#1062535011yescharacteristic
628C22C2×#1309406911yescharacteristic
629C22C2×#1309407011yescharacteristic
630C22C2×#1309407011yescharacteristic
631C22C2×#1309407211yescharacteristic
632C4—28no—
633C4—24no—
634C4—24no—
635C4—44no—
636C4—944no—
637C4—1884no—
638C4—1882no—
639C4—1882no—
640C4C2×C4×D18818yes—
641C2—1884no—
642C2—1888no—
643C2#2024608218yesdirect product factor
644C2C22×C4×D18811yescharacteristic
645C2C2×#1568959511yescharacteristic
646C2C2×#1568960511yescharacteristic
647C2C2×#1568969211yescharacteristic
648C2C2×#1568970411yescharacteristic
649C2C2×#1568972411yescharacteristic
650C2C2×#1568974511yescharacteristic
subgroupG/H
centerC24C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC2×C4×C4⋊C4×C47C2
socleC24×C47C24
prime radicalC22×#13093999C2
cosocleC23×C47C25
hypercenterC2×C4×C4⋊C4D47
hypocenterC47C2×#2324
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×C4×D188C2semidirect
3. C22×#13093981C2semidirect
4. #20246082C2direct (N × H)
5. C2×#15689025C2semidirect
6. C2×#15689024C2semidirect
7. C2×#15689022C2semidirect
8. C2×#15689014C2semidirect
9. C2×#15689001C2semidirect
10. C2×#15688997C2semidirect
11. C2×#15688980C2semidirect
12. C2×C4×C4⋊C4×C47C2semidirect
17. C2×#13093999C4semidirect
20. C2×C4×D188C22semidirect
22. C2×#13093981C22semidirect
35. #15689025C22semidirect
36. #15689024C22semidirect
37. #15689022C22semidirect
38. #15689014C22semidirect
39. #15689001C22semidirect
40. #15688997C22semidirect
41. #15688980C22semidirect
48. C4×C4⋊C4×C47C22semidirect
57. C22×D188C2×C4semidirect
69. C22×C4×D47C2×C4semidirect
72. #13093999C2×C4semidirect
89. C2×(C2×D47)⋊C4C2×C4semidirect
107. C2×C4⋊C4×C47C2×C4semidirect
111. C2×C42×C47D4semidirect
175. C2×D188C22×C4semidirect
183. C2×C4×D47C22×C4semidirect
185. C4⋊C4×C47C22×C4semidirect
187. C42×C47C2×D4semidirect
194. (C2×D47)⋊C4C22×C4semidirect
327. C2×C4×C4⋊C4D47semidirect
328. C2×C47#2324semidirect
371. C4×C4⋊C4C2×D47semidirect
375. C47C2×#2324semidirect
415. C2×C4⋊C4C4×D47semidirect
435. C2×C42D188semidirect
515. C4⋊C4C2×C4×D47semidirect
525. C42C2×D188semidirect
643. C2#20246082direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130939992
C22×C4×D1882
C22×#130939812
#202460822
C2×#156890252
C2×#156890242
C2×#156890222
C2×#156890142
C2×#156890012
C2×#156889972
C2×#156889802
C2×C4×C4⋊C4×C472
C2×#232447