Finite Group Databasebeta

← C2×#20245896 #26374699

Subgroups — C2×#20245896 #26374699

Order 12032.

5022 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13093999C211yesmaximal, characteristic
2C22×#13093986C212yesmaximal, complemented
3C22×#13093986C211yesmaximal, characteristic, complemented
4C22×C42×D47C211yesmaximal, characteristic, complemented
5#20245896C2116yesmaximal, direct product factor
6C2×#15689025C211yesmaximal, characteristic, complemented
7C2×#15689013C212yesmaximal, complemented
8C2×#15689001C212yesmaximal, complemented
9C2×#15688980C211yesmaximal, characteristic, complemented
10C2×C4⋊C4×Dic47C211yesmaximal, characteristic, complemented
11C2×#15688970C212yesmaximal, complemented
12C2×C47×#389C211yesmaximal, characteristic, complemented
13C23×D188C2212yes—
14C23×D188C2211yescharacteristic
15C23×C4×D47C2211yescharacteristic
16C23×C4×D47C2212yes—
17C23×C4×D47C2211yescharacteristic
18C23×C4×D47C2211yescharacteristic
19C2×#13093999C4116yescomplemented
20C2×#13093999C2218yes—
21C2×#13093986—216no—
22C2×#13093986—28no—
23C2×#13093986C2218yescomplemented
24C2×#13093986C22116yescomplemented
25C22×C4⋊Dic47C2211yescharacteristic
26C22×(C2×D47)⋊C4C2212yes—
27C22×(C2×D47)⋊C4C2212yes—
28C22×(C2×D47)⋊C4C2212yes—
29C22×(C2×D47)⋊C4C2212yes—
30C22×(C2×D47)⋊C4C2212yes—
31C22×C4×Dic47C2211yescharacteristic
32C22×C4×Dic47C2211yescharacteristic
33C22×C4×Dic47C2212yes—
34C22×C4×Dic47C2211yescharacteristic
35C2×C42×D47—28no—
36C2×C42×D47C2218yescomplemented
37#15689025C2218yescomplemented
38#15689013C22116yescomplemented
39#15689001C22116yescomplemented
40#15688980C2218yescomplemented
41C4⋊C4×Dic47C2218yescomplemented
42#15688970C22116yescomplemented
43C2×C47⋊#95C2212yes—
44C2×C47⋊#95C2212yes—
45C22×C4⋊C4×C47C2212yes—
46C22×C4⋊C4×C47C2211yescharacteristic
47C22×C4⋊C4×C47C2211yescharacteristic
48C22×C42×C47C2211yescharacteristic
49C47×#389C2218yescomplemented
50C2×#95×C47C2212yes—
51C24×D47C2312yes—
52C24×D47C2311yescharacteristic
53C22×D188—28no—
54C22×D188—28no—
55C22×D188—24no—
56C22×D188—24no—
57C22×D188C2×C4116yescomplemented
58C22×D188C2×C418yescomplemented
59C22×D188C2318yes—
60C22×D188C2314yes—
61C23×Dic47C2312yes—
62C23×Dic47C2311yescharacteristic
63C23×Dic47C2311yescharacteristic
64C23×Dic47C2311yescharacteristic
65C22×C4×D47—24no—
66C22×C4×D47—24no—
67C22×C4×D47—24no—
68C22×C4×D47—24no—
69C22×C4×D47—24no—
70C22×C4×D47—24no—
71C22×C4×D47—24no—
72C22×C4×D47—28no—
73C22×C4×D47—28no—
74C22×C4×D47—28no—
75C22×C4×D47C2×C418yescomplemented
76C22×C4×D47D418yescomplemented
77C22×C4×D47C2318yes—
78C22×C4×D47C2314yes—
79C22×C4×D47C2314yes—
80C22×C4×D47C2314yes—
81#13093999C2×C4164yescomplemented
82#13093986—264no—
83#13093986—232no—
84C2×C4⋊Dic47—24no—
85C2×C4⋊Dic47C2314yes—
86C2×(C2×D47)⋊C4—28no—
87C2×(C2×D47)⋊C4—28no—
88C2×(C2×D47)⋊C4—28no—
89C2×(C2×D47)⋊C4—28no—
90C2×(C2×D47)⋊C4C2×C4116yescomplemented
91C2×(C2×D47)⋊C4C2318yes—
92C2×(C2×D47)⋊C4C2318yes—
93C2×(C2×D47)⋊C4C2318yes—
94C2×(C2×D47)⋊C4C2318yes—
95C2×(C2×D47)⋊C4C2318yes—
96C2×C4×Dic47—24no—
97C2×C4×Dic47—24no—
98C2×C4×Dic47—28no—
99C2×C4×Dic47D418yescomplemented
100C2×C4×Dic47C2314yes—
101C2×C4×Dic47C2318yes—
102C2×C4×Dic47C2314yes—
103C2×C4×Dic47C2314yes—
104C42×D47—232no—
105C47⋊#95C2318yes—
106C47⋊#95C2318yes—
107C23×C4×C47C2312yes—
108C23×C4×C47C2312yes—
109C23×C4×C47C2311yescharacteristic
110C23×C4×C47C2311yescharacteristic
111C23×C4×C47C2311yescharacteristic
112C2×C4⋊C4×C47—28no—
113C2×C4⋊C4×C47—24no—
114C2×C4⋊C4×C47C2×C418yescomplemented
115C2×C4⋊C4×C47C2314yes—
116C2×C4⋊C4×C47C2318yes—
117C2×C4⋊C4×C47C2314yes—
118C2×C42×C47—24no—
119C2×C42×C47C2314yes—
120#95×C47C2318yes—
121C24×C47C2411yescharacteristic
122C23×D47—22no—
123C23×D47—22no—
124C23×D47—22no—
125C23×D47—22no—
126C23×D47—24no—
127C23×D47—24no—
128C23×D47—24no—
129C23×D47—24no—
130C23×D47—24no—
131C23×D47—24no—
132C23×D47C22×C418yes—
133C23×D47C22×C414yes—
134C23×D47C2×D414yes—
135C23×D47#4114yes—
136C23×D47C2414yes—
137C23×D47C2412yes—
138C22×C4×C47—22no—
139C22×C4×C47—22no—
140C22×C4×C47—24no—
141C22×C4×C47—22no—
142C22×C4×C47—22no—
143C22×C4×C47—24no—
144C22×C4×C47—24no—
145C22×C4×C47—24no—
146C22×C4×C47—24no—
147C22×C4×C47C22×C418yes—
148C22×C4×C47C22×C414yes—
149C22×C4×C47C2×D414yes—
150C22×C4×C47C2×D414yes—
151C22×C4×C47#4114yes—
152C22×C4×C47#4114yes—
153C22×C4×C47C2414yes—
154C22×C4×C47C2414yes—
155C22×C4×C47C2412yes—
156C22×C4×C47C2412yes—
157C22×C4×C47C2412yes—
158C22×Dic47—22no—
159C22×Dic47—22no—
160C22×Dic47—22no—
161C22×Dic47—22no—
162C22×Dic47—24no—
163C22×Dic47—24no—
164C22×Dic47—24no—
165C22×Dic47C22×C414yes—
166C22×Dic47C2×D414yes—
167C22×Dic47C2×D414yes—
168C22×Dic47C2×D414yes—
169C22×Dic47#4114yes—
170C22×Dic47C2414yes—
171C22×Dic47C2412yes—
172C22×Dic47C2412yes—
173C22×Dic47C2412yes—
174C2×D188—264no—
175C2×D188—216no—
176C2×D188—216no—
177C2×D188—232no—
178C2×D188—28no—
179C2×D188—28no—
180C2×D188C22×C4132yescomplemented
181C2×D188C22×C4116yescomplemented
182C2×C4×D47—232no—
183C2×C4×D47—28no—
184C2×C4×D47—232no—
185C2×C4×D47—28no—
186C2×C4×D47—28no—
187C2×C4×D47—28no—
188C2×C4×D47—232no—
189C2×C4×D47—28no—
190C2×C4×D47—28no—
191C2×C4×D47—28no—
192C2×C4×D47—216no—
193C2×C4×D47—216no—
194C2×C4×D47—216no—
195C2×C4×D47—432no—
196C2×C4×D47C22×C4116yescomplemented
197C2×C4×D47C2×D4116yescomplemented
198C4⋊C4×C47—216no—
199C4⋊C4×C47—28no—
200C4⋊C4×C47C22×C4116yescomplemented
201C42×C47—28no—
202(C2×D47)⋊C4—216no—
203(C2×D47)⋊C4—216no—
204(C2×D47)⋊C4—216no—
205(C2×D47)⋊C4—216no—
206(C2×D47)⋊C4C22×C4132yescomplemented
207C4⋊Dic47—28no—
208C4×Dic47—28no—
209C4×Dic47—28no—
210C4×Dic47—216no—
211C4×Dic47C2×D4116yescomplemented
212C23×C47C23×C412yes—
213C23×C47C22×D412yes—
214C23×C47C22×D412yes—
215C23×C47C2×#4112yes—
216C23×C47C2×#4112yes—
217C23×C47C2×#4112yes—
218C23×C47C2×#4112yes—
219C23×C47C2511yescharacteristic
220C22×D47—28no—
221C22×D47—28no—
222C22×D47—28no—
223C22×D47—28no—
224C22×D47—28no—
225C22×D47—28no—
226C22×D47—22no—
227C22×D47—22no—
228C22×D47—22no—
229C22×D47—22no—
230C22×D47—216no—
231C22×D47—216no—
232C22×D47—216no—
233C22×D47—24no—
234C22×D47—24no—
235C22×D47—24no—
236C22×D47—24no—
237C22×D47—24no—
238C22×D47—24no—
239C22×D47—48no—
240C22×D47—48no—
241C22×D47—48no—
242C22×D47—48no—
243C22×D47C4×D4116yescomplemented
244C22×D47C23×C418yes—
245C22×D47C23×C414yes—
246C22×D47C22×D414yes—
247C22×D47C2×#4114yes—
248C2×C4×C47—216no—
249C2×C4×C47—28no—
250C2×C4×C47—28no—
251C2×C4×C47—22no—
252C2×C4×C47—22no—
253C2×C4×C47—24no—
254C2×C4×C47—22no—
255C2×C4×C47—22no—
256C2×C4×C47—24no—
257C2×C4×C47—24no—
258C2×C4×C47—24no—
259C2×C4×C47—24no—
260C2×C4×C47—48no—
261C2×C4×C47C4×D4116yescomplemented
262C2×C4×C47C23×C418yes—
263C2×C4×C47C23×C414yes—
264C2×C4×C47C22×D414yes—
265C2×C4×C47C22×D414yes—
266C2×C4×C47C2×#4114yes—
267C2×C4×C47C2×#4114yes—
268C2×Dic47—28no—
269C2×Dic47—28no—
270C2×Dic47—22no—
271C2×Dic47—22no—
272C2×Dic47—22no—
273C2×Dic47—22no—
274C2×Dic47—24no—
275C2×Dic47—24no—
276C2×Dic47—24no—
277C2×Dic47—48no—
278C2×Dic47#121116yescomplemented
279C2×Dic47C23×C414yes—
280C2×Dic47C22×D414yes—
281C2×Dic47C22×D414yes—
282C2×Dic47C22×D414yes—
283C2×Dic47C2×#4114yes—
284D188—264no—
285D188—232no—
286C4×D47—232no—
287C4×D47—232no—
288C4×D47—232no—
289C4×D47—432no—
290C2×C4×#121—471nomaximal, Sylow
291C22×C47C2×C4×D414yes—
292C22×C47C2×C4×D414yes—
293C22×C47C4×#4114yes—
294C22×C47C2×#12114yes—
295C22×C47#52514yes—
296C22×C47#52914yes—
297C22×C47#53214yes—
298C22×C47C24×C411yescharacteristic
299C22×C47C23×D411yescharacteristic
300C22×C47C23×D411yescharacteristic
301C22×C47C22×#4111yescharacteristic
302C22×C47C22×#4111yescharacteristic
303C22×C47C22×#4111yescharacteristic
304C22×C47C22×#4111yescharacteristic
305C2×D47—24no—
306C2×D47—24no—
307C2×D47—24no—
308C2×D47—24no—
309C2×D47—24no—
310C2×D47—24no—
311C2×D47—232no—
312C2×D47—28no—
313C2×D47—28no—
314C2×D47—28no—
315C2×D47—44no—
316C2×D47—44no—
317C2×D47—44no—
318C2×D47—44no—
319C2×D47—432no—
320C2×D47C2×C4×D418yescomplemented
321C4×C47—28no—
322C4×C47—24no—
323C4×C47—24no—
324C4×C47—44no—
325C4×C47C2×C4×D418yescomplemented
326Dic47—24no—
327Dic47—24no—
328Dic47—44no—
329Dic47C2×#12118yescomplemented
330C22×#121—471no—
331C22×C4×D4—472no—
332C22×C4×D4—471no—
333C23×C42—471no—
334C4×#121—4716no—
335C2×#390—471no—
336C2×#389D4711yescharacteristic, complemented
337C2×#388—472no—
338C2×#386—472no—
339C2×#380—471no—
340C2×C4×C4⋊C4—471no—
341C2×C4×C22⋊C4—472no—
342C2×C47C4×#12118yescomplemented
343C2×C47C22×C4×D411yescharacteristic
344C2×C47C22×C4×D411yescharacteristic
345C2×C47C2×C4×#4111yescharacteristic
346C2×C47C22×#12111yescharacteristic
347C2×C47C2×#52511yescharacteristic
348C2×C47C2×#52911yescharacteristic
349C2×C47C2×#53211yescharacteristic
350D47—28no—
351D47—48no—
352C23×D4—472no—
353C23×D4—471no—
354C24×C4—471no—
355C24×C4—471no—
356C24×C4—471no—
357C24×C4—472no—
358C2×#121—4716no—
359C2×#121—478no—
360C2×C4×D4—478no—
361C2×C4×D4—4716no—
362C2×C4×D4—948no—
363C2×C4×D4—9416no—
364C22×C4⋊C4—471no—
365C22×C4⋊C4C2×D4711yescharacteristic
366C22×C4⋊C4C2×D4712yes—
367C22×C4⋊C4C2×D4711yescharacteristic
368C22×C22⋊C4—472no—
369C22×C22⋊C4—472no—
370C22×C22⋊C4—472no—
371C22×C22⋊C4—472no—
372C22×C22⋊C4—472no—
373C22×C42—471no—
374C22×C42—471no—
375C22×C42—471no—
376C22×C42—472no—
377C22×C42—478no—
378C22×C42—948no—
379C22×C42C2×D4711yescharacteristic
380#390—478no—
381#389C2×D4718yescomplemented
382#388—4716no—
383#386—4716no—
384#380—478no—
385C4×C4⋊C4—478no—
386C4×C22⋊C4—4716no—
387C2×#95—472no—
388C2×#95—472no—
389C2×#95C2×D4712yes—
390C47C2×C4×#12111yescharacteristic, complemented, Sylow
391C25—471no—
392C25—472no—
393C22×D4—4716no—
394C22×D4—478no—
395C22×D4—478no—
396C22×D4—474no—
397C22×D4—948no—
398C22×D4—948no—
399C22×D4—944no—
400C22×D4—944no—
401C23×C4—471no—
402C23×C4—471no—
403C23×C4—471no—
404C23×C4—478no—
405C23×C4—478no—
406C23×C4—474no—
407C23×C4—474no—
408C23×C4—472no—
409C23×C4—478no—
410C23×C4—474no—
411C23×C4—944no—
412C23×C4—944no—
413C23×C4—944no—
414C23×C4—948no—
415C23×C4—948no—
416C23×C4—948no—
417C23×C4—944no—
418C23×C4—944no—
419C23×C4—944no—
420C23×C4—944no—
421C23×C4C22×D4712yes—
422C23×C4C22×D4712yes—
423C23×C4C22×D4711yescharacteristic
424C23×C4C22×D4711yescharacteristic
425C23×C4C22×D4711yescharacteristic
426#121—4764no—
427C4×D4—9432no—
428C4×D4—9464no—
429C2×C4⋊C4—28no—
430C2×C4⋊C4—24no—
431C2×C4⋊C4—474no—
432C2×C4⋊C4—944no—
433C2×C4⋊C4C4×D4718yescomplemented
434C2×C4⋊C4C22×D4714yes—
435C2×C4⋊C4C22×D4718yes—
436C2×C4⋊C4C22×D4714yes—
437C2×C22⋊C4—4716no—
438C2×C22⋊C4—478no—
439C2×C22⋊C4—478no—
440C2×C22⋊C4—478no—
441C2×C22⋊C4—478no—
442C2×C22⋊C4—478no—
443C2×C22⋊C4—948no—
444C2×C22⋊C4—948no—
445C2×C22⋊C4—948no—
446C2×C22⋊C4—948no—
447C2×C42—24no—
448C2×C42—478no—
449C2×C42—474no—
450C2×C42—478no—
451C2×C42—474no—
452C2×C42—474no—
453C2×C42—9432no—
454C2×C42—948no—
455C2×C42—944no—
456C2×C42—944no—
457C2×C42C22×D4714yes—
458#95—478no—
459#95—478no—
460#95C22×D4718yes—
461C24—474no—
462C24—474no—
463C24—474no—
464C24—472no—
465C24—478no—
466C24—474no—
467C24—942no—
468C24—942no—
469C24—942no—
470C24—942no—
471C24—944no—
472C24—944no—
473C24—944no—
474C24—944no—
475C24—944no—
476C24—944no—
477C24C23×D4711yescharacteristic
478C2×D4—4732no—
479C2×D4—4716no—
480C2×D4—9416no—
481C2×D4—9464no—
482C2×D4—9416no—
483C2×D4—9432no—
484C2×D4—948no—
485C2×D4—948no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—474no—
496C22×C4—474no—
497C22×C4—474no—
498C22×C4—472no—
499C22×C4—474no—
500C22×C4—474no—
501C22×C4—472no—
502C22×C4—472no—
503C22×C4—4716no—
504C22×C4—4716no—
505C22×C4—474no—
506C22×C4—948no—
507C22×C4—948no—
508C22×C4—9432no—
509C22×C4—948no—
510C22×C4—9416no—
511C22×C4—9416no—
512C22×C4—9416no—
513C22×C4—948no—
514C22×C4—9432no—
515C22×C4—942no—
516C22×C4—942no—
517C22×C4—942no—
518C22×C4—942no—
519C22×C4—9432no—
520C22×C4—948no—
521C22×C4—948no—
522C22×C4—948no—
523C22×C4—944no—
524C22×C4—944no—
525C22×C4—944no—
526C22×C4—18832no—
527C22×C4C2×C4×D4718yes—
528C22×C4C2×C4×D4714yes—
529C22×C4D4×D4714yes—
530C22×C4D4×D4714yes—
531C22×C4#1062535414yes—
532C22×C4#1062535414yes—
533C22×C4C23×D4714yes—
534C22×C4C23×D4714yes—
535C22×C4C23×D4712yes—
536C22×C4C23×D4712yes—
537C22×C4C23×D4712yes—
538C4⋊C4—216no—
539C4⋊C4—28no—
540C4⋊C4—948no—
541C4⋊C4C2×C4×D47116yescomplemented
542C22⋊C4—4732no—
543C22⋊C4—9416no—
544C22⋊C4—9416no—
545C22⋊C4—9416no—
546C22⋊C4—9416no—
547C42—28no—
548C42—4716no—
549C42—948no—
550C42—948no—
551C42—9416no—
552C23—4716no—
553C23—474no—
554C23—474no—
555C23—474no—
556C23—478no—
557C23—948no—
558C23—948no—
559C23—948no—
560C23—948no—
561C23—948no—
562C23—948no—
563C23—942no—
564C23—942no—
565C23—942no—
566C23—942no—
567C23—9416no—
568C23—9416no—
569C23—9416no—
570C23—944no—
571C23—944no—
572C23—944no—
573C23—944no—
574C23—944no—
575C23—944no—
576C23—1888no—
577C23—1888no—
578C23—1888no—
579C23—1888no—
580C23C22×C4×D4712yes—
581C23C2×D4×D4712yes—
582C23C2×D4×D4712yes—
583C23#41×D4712yes—
584C23#41×D4712yes—
585C23C2×#1062535412yes—
586C23C2×#1062535412yes—
587C23C24×D4711yescharacteristic
588D4—9464no—
589D4—9432no—
590C2×C4—216no—
591C2×C4—28no—
592C2×C4—28no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—48no—
603C2×C4—4716no—
604C2×C4—474no—
605C2×C4—474no—
606C2×C4—474no—
607C2×C4—474no—
608C2×C4—474no—
609C2×C4—9432no—
610C2×C4—9432no—
611C2×C4—948no—
612C2×C4—948no—
613C2×C4—942no—
614C2×C4—942no—
615C2×C4—942no—
616C2×C4—942no—
617C2×C4—9432no—
618C2×C4—944no—
619C2×C4—944no—
620C2×C4—944no—
621C2×C4—18832no—
622C2×C4—1888no—
623C2×C4#13093986116yescomplemented
624C2×C4C22×C4×D4718yes—
625C2×C4C22×C4×D4714yes—
626C2×C4C2×D4×D4714yes—
627C2×C4C2×D4×D4714yes—
628C2×C4C2×#1062535414yes—
629C2×C4C2×#1062535414yes—
630C22—478no—
631C22—944no—
632C22—944no—
633C22—944no—
634C22—944no—
635C22—9432no—
636C22—944no—
637C22—944no—
638C22—948no—
639C22—948no—
640C22—948no—
641C22—1884no—
642C22—1884no—
643C22—18832no—
644C22—1884no—
645C22—1884no—
646C22C4×D4×D4714yes—
647C22C2×#1309398614yes—
648C22C4×#1062535414yes—
649C22#121×D4714yes—
650C22#1568963614yes—
651C22#1568965814yes—
652C22#1568967414yes—
653C22C23×C4×D4711yescharacteristic
654C22C22×D4×D4711yescharacteristic
655C22C22×D4×D4711yescharacteristic
656C22C2×#41×D4711yescharacteristic
657C22C2×#41×D4711yescharacteristic
658C22C22×#1062535411yescharacteristic
659C22C22×#1062535411yescharacteristic
660C4—28no—
661C4—24no—
662C4—24no—
663C4—44no—
664C4—478no—
665C4—944no—
666C4—944no—
667C4—1884no—
668C4C2×#1309398618yescomplemented
669C2—948no—
670C2—1888no—
671C2#2024589618yesdirect product factor
672C2C2×C4×D4×D4711yescharacteristic
673C2C22×#1309398611yescharacteristic
674C2C2×C4×#1062535411yescharacteristic
675C2C2×#121×D4711yescharacteristic
676C2C2×#1568963611yescharacteristic
677C2C2×#1568965811yescharacteristic
678C2C2×#1568967411yescharacteristic
subgroupG/H
centerC24C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC2×C47×#389C2
socleC24×C47C24
prime radicalC22×#13093999C2
cosocleC23×C47C25
hypercenterC2×#389D47
hypocenterC47C2×C4×#121
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
2. C22×#13093986C2semidirect
3. C22×#13093986C2semidirect
4. C22×C42×D47C2semidirect
5. #20245896C2direct (N × H)
6. C2×#15689025C2semidirect
7. C2×#15689013C2semidirect
8. C2×#15689001C2semidirect
9. C2×#15688980C2semidirect
10. C2×C4⋊C4×Dic47C2semidirect
11. C2×#15688970C2semidirect
12. C2×C47×#389C2semidirect
19. C2×#13093999C4semidirect
23. C2×#13093986C22semidirect
24. C2×#13093986C22semidirect
36. C2×C42×D47C22semidirect
37. #15689025C22semidirect
38. #15689013C22semidirect
39. #15689001C22semidirect
40. #15688980C22semidirect
41. C4⋊C4×Dic47C22semidirect
42. #15688970C22semidirect
49. C47×#389C22semidirect
57. C22×D188C2×C4semidirect
58. C22×D188C2×C4semidirect
75. C22×C4×D47C2×C4semidirect
76. C22×C4×D47D4semidirect
81. #13093999C2×C4semidirect
90. C2×(C2×D47)⋊C4C2×C4semidirect
99. C2×C4×Dic47D4semidirect
114. C2×C4⋊C4×C47C2×C4semidirect
180. C2×D188C22×C4semidirect
181. C2×D188C22×C4semidirect
196. C2×C4×D47C22×C4semidirect
197. C2×C4×D47C2×D4semidirect
200. C4⋊C4×C47C22×C4semidirect
206. (C2×D47)⋊C4C22×C4semidirect
211. C4×Dic47C2×D4semidirect
243. C22×D47C4×D4semidirect
261. C2×C4×C47C4×D4semidirect
278. C2×Dic47#121semidirect
320. C2×D47C2×C4×D4semidirect
325. C4×C47C2×C4×D4semidirect
329. Dic47C2×#121semidirect
336. C2×#389D47semidirect
342. C2×C47C4×#121semidirect
381. #389C2×D47semidirect
390. C47C2×C4×#121semidirect
433. C2×C4⋊C4C4×D47semidirect
541. C4⋊C4C2×C4×D47semidirect
623. C2×C4#13093986semidirect
668. C4C2×#13093986semidirect
671. C2#20245896direct (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×#130939862
C22×C42×D472
#202458962
C2×#156890252
C2×#156890132
C2×#156890012
C2×#156889802
C2×C4⋊C4×Dic472
C2×#156889702
C2×C47×#3892
C2×C4×#12147