Finite Group Databasebeta

← C2×#20256223 #27096068

Subgroups — C2×#20256223 #27096068

Order 12032.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689849C211yesmaximal, characteristic, complemented
2C2×#15689847C211yesmaximal, characteristic
3#20256223C2116yesmaximal, direct product factor
4C2×#15689491C211yesmaximal, characteristic, complemented
5C2×#15689484C211yesmaximal, characteristic
6C2×#15689479C211yesmaximal, characteristic
7C2×#15689428C211yesmaximal, characteristic, complemented
8C2×#15689416C211yesmaximal, characteristic, complemented
9C2×#15689424C211yesmaximal, characteristic
10C2×#15689347C211yesmaximal, characteristic
11C2×#15689347C211yesmaximal, characteristic
12C2×#15689252C211yesmaximal, characteristic, complemented
13C2×#15689230C211yesmaximal, characteristic, complemented
14C2×#15689221C211yesmaximal, characteristic
15C2×Q16×Dic47C211yesmaximal, characteristic, complemented
16C2×C47×#462C211yesmaximal, characteristic, complemented
17C22×#10625336C2211yescharacteristic
18#15689849—24no—
19#15689849C2218yescomplemented
20#15689847—24no—
21#15689847C2218yes—
22C2×#13094023—21no—
23C2×#13094023C2211yescharacteristic
24C2×#13094019—21no—
25C2×#13094019—21no—
26C2×#13094016—21no—
27C2×#13094016C2211yescharacteristic
28C2×#13094015—21no—
29C2×#13094015C2211yescharacteristic
30C2×#13094013C2211yescharacteristic
31C2×#13094013C2211yescharacteristic
32C2×#13094004—21no—
33C2×Q8×Dic47C2211yescharacteristic
34C2×Q8×Dic47C2211yescharacteristic
35C2×Q8×Dic47C2211yescharacteristic
36C2×Q8×Dic47C2211yescharacteristic
37C2×C4×Dic94—21no—
38C2×C4×Dic94C2211yescharacteristic
39C2×C4×D188C2211yescharacteristic
40C2×#13093982—21no—
41#15689491C2218yescomplemented
42#15689484C2218yes—
43#15689479C2218yes—
44#15689428C2218yescomplemented
45#15689424C2218yes—
46#15689416C2218yescomplemented
47#15689347C2218yes—
48#15689347C2218yes—
49#15689252C2218yescomplemented
50#15689230C2218yescomplemented
51#15689221C2218yes—
52Q16×Dic47C2218yescomplemented
53C2×#13093958C2211yescharacteristic
54C2×#13093957C2211yescharacteristic
55C2×#13093956C2211yescharacteristic
56C2×Dic47⋊C8C2211yescharacteristic
57C2×Dic47⋊C8C2211yescharacteristic
58C2×#13093948C2211yescharacteristic
59C2×#13093948C2211yescharacteristic
60C2×#13093948C2211yescharacteristic
61C2×#13093948C2211yescharacteristic
62C2×#13093948C2211yescharacteristic
63C2×#13093946C2211yescharacteristic
64C2×#13093946C2211yescharacteristic
65C2×#13093944C2211yescharacteristic
66C2×#13093935C2211yescharacteristic
67C2×#13093934C2211yescharacteristic
68C2×C8×Dic47C2211yescharacteristic
69C22×Q16×C47C2211yescharacteristic
70C22×Q16×C47C2211yescharacteristic
71C2×C4⋊Q8×C47C2211yescharacteristic
72C2×C4×Q8×C47C2211yescharacteristic
73C47×#462C2218yescomplemented
74C2×C4⋊C8×C47C2211yescharacteristic
75C2×#103×C47C2211yescharacteristic
76C2×#103×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94D411yescharacteristic
79C22×D188C2311yescharacteristic
80C22×C4×D47—21no—
81C2×#10625336—24no—
82C2×#10625336C2314yes—
83C22×C47⋊C8C2311yescharacteristic
84C22×C47⋊C8C2311yescharacteristic
85#13094023—28no—
86#13094023—22no—
87#13094023C2314yes—
88#13094019—28no—
89#13094019—28no—
90#13094016—22no—
91#13094016—28no—
92#13094016C2314yes—
93#13094015—28no—
94#13094015—22no—
95#13094015C2314yes—
96#13094013—22no—
97#13094013—22no—
98#13094013C2314yes—
99#13094013C2314yes—
100#13094004—28no—
101Q8×Dic47—22no—
102Q8×Dic47—22no—
103Q8×Dic47—22no—
104Q8×Dic47—22no—
105Q8×Dic47C2314yes—
106Q8×Dic47C2314yes—
107Q8×Dic47C2314yes—
108Q8×Dic47C2314yes—
109C4×Dic94—28no—
110C4×Dic94D414yes—
111C4×Dic94C2314yes—
112C4×D188—22no—
113C4×D188C2314yes—
114#13093982—28no—
115C2×C4⋊Dic47—21no—
116C2×C4⋊Dic47—21no—
117C2×C4⋊Dic47—21no—
118C2×C4⋊Dic47—21no—
119C2×C4⋊Dic47—21no—
120C2×C4⋊Dic47D411yescharacteristic
121C2×C4⋊Dic47C2311yescharacteristic
122C2×C4⋊Dic47C2311yescharacteristic
123C2×C4⋊Dic47C2311yescharacteristic
124C2×Dic47⋊C4—21no—
125C2×Dic47⋊C4—21no—
126C2×Dic47⋊C4—21no—
127C2×Dic47⋊C4—21no—
128C2×Dic47⋊C4D411yescharacteristic
129C2×Dic47⋊C4D411yescharacteristic
130C2×(C2×D47)⋊C4—21no—
131C2×(C2×D47)⋊C4—21no—
132C2×(C2×D47)⋊C4—21no—
133C2×(C2×D47)⋊C4—21no—
134C2×(C2×D47)⋊C4—21no—
135C2×C4×Dic47—21no—
136C2×C4×Dic47—21no—
137C2×C4×Dic47—21no—
138C2×C4×Dic47—21no—
139C2×C4×Dic47C2311yescharacteristic
140C2×C4×Dic47C2311yescharacteristic
141#13093958C2314yes—
142#13093957C2314yes—
143#13093956C2314yes—
144Dic47⋊C8C2314yes—
145Dic47⋊C8C2314yes—
146#13093948C2314yes—
147#13093948C2314yes—
148#13093948C2314yes—
149#13093948C2314yes—
150#13093948C2314yes—
151#13093946C2314yes—
152#13093946C2314yes—
153#13093944C2314yes—
154#13093935C2314yes—
155#13093934C2314yes—
156C8×Dic47C2314yes—
157C22×Q8×C47C2311yescharacteristic
158C22×Q8×C47C2311yescharacteristic
159C22×Q8×C47C2311yescharacteristic
160C2×Q16×C47—24no—
161C2×Q16×C47—24no—
162C2×Q16×C47C2314yes—
163C2×Q16×C47C2314yes—
164C22×C8×C47C2311yescharacteristic
165C22×C8×C47C2311yescharacteristic
166C4⋊Q8×C47—22no—
167C4⋊Q8×C47C2314yes—
168C4×Q8×C47—22no—
169C4×Q8×C47C2314yes—
170C2×C4⋊C4×C47—21no—
171C2×C4⋊C4×C47—21no—
172C2×C4⋊C4×C47—21no—
173C2×C4⋊C4×C47C2311yescharacteristic
174C2×C42×C47—21no—
175C2×C42×C47C2311yescharacteristic
176C4⋊C8×C47C2314yes—
177#103×C47C2314yes—
178#103×C47C2314yes—
179C23×D47—21no—
180C2×Q8×C47—21no—
181C2×Q8×C47—21no—
182C2×Q8×C47—21no—
183C2×Q8×C47—22no—
184C2×Q8×C47—22no—
185C2×Q8×C47—22no—
186C2×Q8×C47—22no—
187C2×Q8×C47—22no—
188C2×Q8×C47#4114yes—
189C2×Q8×C47C2412yes—
190C2×Q8×C47C2412yes—
191C2×Q8×C47C2412yes—
192C22×C4×C47—21no—
193C22×C4×C47—21no—
194C22×C4×C47—21no—
195C22×C4×C47—21no—
196C22×C4×C47C2×D411yescharacteristic
197C22×C4×C47C2×D411yescharacteristic
198C22×C4×C47C2411yescharacteristic
199C22×Dic47—21no—
200C22×Dic47—21no—
201C22×Dic47—21no—
202C22×Dic47C2×D411yescharacteristic
203C22×Dic47C2×D411yescharacteristic
204C22×Dic47C2×D411yescharacteristic
205C22×Dic47C2×D411yescharacteristic
206C2×D188—22no—
207C2×D188—22no—
208C2×D188—21no—
209C2×D188C2412yes—
210C2×C4×D47—24no—
211C2×C4×D47—44no—
212C2×Dic94—24no—
213C2×Dic94—42no—
214C2×Dic94—44no—
215C2×Dic94C2×D414yes—
216Q16×C47—28no—
217Q16×C47—28no—
218C2×C8×C47—22no—
219C2×C8×C47—22no—
220C2×C8×C47C2412yes—
221C2×C8×C47C2412yes—
222C4⋊C4×C47—24no—
223C4⋊C4×C47—24no—
224C4⋊C4×C47—24no—
225C4⋊C4×C47—21no—
226C4⋊C4×C47C2412yes—
227C42×C47—24no—
228C42×C47C2×D412yes—
229C42×C47C2412yes—
230#10625336—28no—
231(C2×D47)⋊C4—24no—
232(C2×D47)⋊C4—24no—
233(C2×D47)⋊C4—24no—
234(C2×D47)⋊C4—24no—
235(C2×D47)⋊C4—24no—
236C4⋊Dic47—21no—
237C4⋊Dic47—21no—
238C4⋊Dic47—21no—
239C4⋊Dic47—24no—
240C4⋊Dic47—24no—
241C4⋊Dic47—24no—
242C4⋊Dic47—24no—
243C4⋊Dic47—24no—
244C4⋊Dic47C2×D414yes—
245C4⋊Dic47C2412yes—
246C4⋊Dic47C2412yes—
247C4⋊Dic47C2412yes—
248Dic47⋊C4—24no—
249Dic47⋊C4—24no—
250Dic47⋊C4—24no—
251Dic47⋊C4—24no—
252Dic47⋊C4C2×D414yes—
253Dic47⋊C4C2×D414yes—
254C4×Dic47—24no—
255C4×Dic47—24no—
256C4×Dic47—24no—
257C4×Dic47—24no—
258C4×Dic47C2×D412yes—
259C4×Dic47C2×D412yes—
260C4×Dic47C2412yes—
261C4×Dic47C2412yes—
262C2×C47⋊C8—22no—
263C2×C47⋊C8—22no—
264C2×C47⋊C8C2412yes—
265C2×C47⋊C8C2412yes—
266C23×C47C22×D411yescharacteristic
267C22×D47—22no—
268C22×D47—42no—
269C22×D47—42no—
270C22×D47—42no—
271Q8×C47—24no—
272Q8×C47—22no—
273Q8×C47—22no—
274Q8×C47—22no—
275Q8×C47—22no—
276Q8×C47—22no—
277Q8×C47—42no—
278Q8×C47—42no—
279Q8×C47C2×#4114yes—
280C2×C4×C47—24no—
281C2×C4×C47—22no—
282C2×C4×C47—22no—
283C2×C4×C47—22no—
284C2×C4×C47—22no—
285C2×C4×C47—22no—
286C2×C4×C47—22no—
287C2×C4×C47—42no—
288C2×C4×C47—42no—
289C2×C4×C47—42no—
290C2×C4×C47C22×D412yes—
291C2×C4×C47C22×D412yes—
292C2×C4×C47C22×D411yescharacteristic
293C2×C4×C47C2×#4112yes—
294C2×C4×C472−1+412yes—
295C2×C4×C47C2511yescharacteristic
296C2×Dic47—22no—
297C2×Dic47—22no—
298C2×Dic47—22no—
299C2×Dic47—22no—
300C2×Dic47—22no—
301C2×Dic47—22no—
302C2×Dic47—22no—
303C2×Dic47—42no—
304C2×Dic47—42no—
305C2×Dic47—42no—
306C2×Dic47C22×D412yes—
307C2×Dic47C22×D412yes—
308C2×Dic47C22×D412yes—
309C2×Dic47C22×D412yes—
310D188—22no—
311D188—22no—
312D188—42no—
313C4×D47—48no—
314Dic94—44no—
315Dic94—48no—
316C8×C47—22no—
317C8×C47—22no—
318C47⋊C8—22no—
319C47⋊C8—22no—
320C2×#3377—471nomaximal, Sylow
321C22×C47#54812yes—
322C22×C47#57512yes—
323C22×C47#57812yes—
324C22×C47C23×D411yescharacteristic
325C2×D47—42no—
326C2×D47—42no—
327C2×D47—42no—
328C2×D47—84no—
329C4×C47—24no—
330C4×C47—22no—
331C4×C47—22no—
332C4×C47—42no—
333C4×C47—42no—
334C4×C47—42no—
335C4×C47#54812yes—
336C4×C47C22×#4111yescharacteristic
337C4×C47C2×2−1+411yescharacteristic
338Dic47—22no—
339Dic47—22no—
340Dic47—22no—
341Dic47—22no—
342Dic47—42no—
343Dic47—42no—
344Dic47—42no—
345C2×#557—471no—
346C2×#556—471no—
347#3377—4716no—
348C2×#491—471no—
349C2×#489—471no—
350C2×#488—471no—
351C2×#479—471no—
352C2×#477—471no—
353C2×#478—471no—
354C2×#464—471no—
355C2×#464—471no—
356C2×#462D4711yescharacteristic, complemented
357C2×#446—471no—
358C2×#441—471no—
359C2×#440—471no—
360C2×C4×Q16—471no—
361C2×C47#337714yescomplemented
362C2×C47C2×#54811yescharacteristic
363C2×C47C2×#57511yescharacteristic
364C2×C47C2×#57811yescharacteristic
365D47—82no—
366C22×Q16C2×D4711yescharacteristic
367C22×Q16C2×D4711yescharacteristic
368C22×SD16—471no—
369#557—478no—
370#557—944no—
371#556—478no—
372#556—944no—
373C2×C4⋊Q8—471no—
374C2×C4⋊Q8—941no—
375C2×C4⋊Q8C2×D4711yescharacteristic
376C2×#126—941no—
377C2×#126—941no—
378C2×#125—471no—
379C2×#125—471no—
380C2×#125—941no—
381C2×#125—941no—
382C2×#124—471no—
383C2×#124—471no—
384C2×C22⋊Q8—941no—
385C2×C4×Q8—471no—
386C2×C4×Q8—471no—
387C2×C4×Q8—471no—
388C2×C4×Q8—471no—
389C2×C4×Q8—471no—
390C2×C4×Q8—941no—
391C2×C4×Q8C2×D4711yescharacteristic
392C2×C4×D4—471no—
393C2×#117—941no—
394#491—478no—
395#489—478no—
396#488—478no—
397#479—478no—
398#478—478no—
399#477—478no—
400#464—478no—
401#464—478no—
402#462C2×D4718yescomplemented
403#446—478no—
404#441—478no—
405#440—478no—
406C4×Q16—478no—
407C2×#107—471no—
408C2×#107—471no—
409C2×#106—471no—
410C2×C4⋊C8—471no—
411C2×C4⋊C8—471no—
412C2×C4⋊C8C2×D4711yescharacteristic
413C2×#103—471no—
414C2×#103—471no—
415C2×#103—471no—
416C2×#103—471no—
417C2×#103—471no—
418C2×#103C2×D4711yescharacteristic
419C2×#103C2×D4711yescharacteristic
420C2×#102—471no—
421C2×#102—471no—
422C2×#102—471no—
423C2×#97—471no—
424C2×#97—471no—
425C2×C4×C8—471no—
426C47C2×#337711yescharacteristic, complemented, Sylow
427C22×Q8—471no—
428C22×Q8—941no—
429C22×Q8C22×D4711yescharacteristic
430C22×Q8C22×D4711yescharacteristic
431C22×Q8C22×D4711yescharacteristic
432C22×D4—471no—
433C23×C4—941no—
434C2×Q16—24no—
435C2×Q16—24no—
436C2×Q16C22×D4714yes—
437C2×Q16C22×D4714yes—
438C2×SD16—474no—
439C2×SD16—944no—
440C22×C8—471no—
441C22×C8—471no—
442C22×C8C22×D4711yescharacteristic
443C22×C8C22×D4711yescharacteristic
444C4⋊Q8—22no—
445C4⋊Q8—474no—
446C4⋊Q8—942no—
447C4⋊Q8—948no—
448C4⋊Q8C22×D4714yes—
449#126—948no—
450#126—948no—
451#125—474no—
452#125—474no—
453#125—948no—
454#125—942no—
455#125—948no—
456#125—942no—
457#124—474no—
458#124—474no—
459#124—942no—
460#124—942no—
461C22⋊Q8—948no—
462C4×Q8—22no—
463C4×Q8—474no—
464C4×Q8—474no—
465C4×Q8—474no—
466C4×Q8—474no—
467C4×Q8—474no—
468C4×Q8—474no—
469C4×Q8—948no—
470C4×Q8—942no—
471C4×Q8—942no—
472C4×Q8—942no—
473C4×Q8—942no—
474C4×Q8C22×D4714yes—
475C4×D4—474no—
476C4×D4—942no—
477#117—948no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—471no—
482C2×C4⋊C4—471no—
483C2×C4⋊C4—471no—
484C2×C4⋊C4—471no—
485C2×C4⋊C4—471no—
486C2×C4⋊C4—471no—
487C2×C4⋊C4—941no—
488C2×C4⋊C4—941no—
489C2×C4⋊C4—941no—
490C2×C4⋊C4—941no—
491C2×C4⋊C4—941no—
492C2×C4⋊C4—941no—
493C2×C4⋊C4—941no—
494C2×C4⋊C4—941no—
495C2×C4⋊C4—941no—
496C2×C4⋊C4C22×D4711yescharacteristic
497C2×C22⋊C4—941no—
498C2×C22⋊C4—941no—
499C2×C22⋊C4—941no—
500C2×C22⋊C4—941no—
501C2×C22⋊C4—941no—
502C2×C42—21no—
503C2×C42—471no—
504C2×C42—471no—
505C2×C42—941no—
506C2×C42—941no—
507C2×C42—941no—
508C2×C42—941no—
509C2×C42C22×D4711yescharacteristic
510#107—474no—
511#107—474no—
512#106—474no—
513C4⋊C8—474no—
514C4⋊C8—474no—
515C4⋊C8C22×D4714yes—
516#103—474no—
517#103—474no—
518#103—474no—
519#103—474no—
520#103—474no—
521#103C22×D4714yes—
522#103C22×D4714yes—
523#102—474no—
524#102—474no—
525#102—474no—
526#97—474no—
527#97—474no—
528C4×C8—474no—
529C24—941no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—22no—
534C2×Q8—22no—
535C2×Q8—22no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—474no—
539C2×Q8—944no—
540C2×Q8—1882no—
541C2×Q8—1884no—
542C2×Q8#1062535214yes—
543C2×Q8C23×D4712yes—
544C2×Q8C23×D4712yes—
545C2×Q8C23×D4712yes—
546C2×D4—472no—
547C2×D4—941no—
548C2×D4—942no—
549C2×D4—942no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—471no—
555C22×C4—471no—
556C22×C4—471no—
557C22×C4—471no—
558C22×C4—941no—
559C22×C4—941no—
560C22×C4—941no—
561C22×C4—944no—
562C22×C4—1884no—
563C22×C4D4×D4711yescharacteristic
564C22×C4D4×D4711yescharacteristic
565C22×C4C23×D4711yescharacteristic
566Q16—28no—
567Q16—28no—
568SD16—948no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—472no—
572C2×C8—472no—
573C2×C8—942no—
574C2×C8—942no—
575C2×C8C23×D4712yes—
576C2×C8C23×D4712yes—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—24no—
580C4⋊C4—21no—
581C4⋊C4—474no—
582C4⋊C4—474no—
583C4⋊C4—474no—
584C4⋊C4—472no—
585C4⋊C4—472no—
586C4⋊C4—472no—
587C4⋊C4—944no—
588C4⋊C4—944no—
589C4⋊C4—944no—
590C4⋊C4—944no—
591C4⋊C4—944no—
592C4⋊C4—944no—
593C4⋊C4—944no—
594C4⋊C4—944no—
595C4⋊C4—944no—
596C4⋊C4—941no—
597C4⋊C4—941no—
598C4⋊C4—941no—
599C4⋊C4C23×D4712yes—
600C22⋊C4—944no—
601C22⋊C4—944no—
602C22⋊C4—944no—
603C22⋊C4—944no—
604C22⋊C4—944no—
605C42—24no—
606C42—472no—
607C42—472no—
608C42—472no—
609C42—472no—
610C42—944no—
611C42—944no—
612C42—944no—
613C42—944no—
614C42D4×D4712yes—
615C42C23×D4712yes—
616C23—942no—
617C23—1882no—
618C23—1882no—
619C23—1882no—
620C23C2×D4×D4711yescharacteristic
621Q8—24no—
622Q8—22no—
623Q8—22no—
624Q8—22no—
625Q8—22no—
626Q8—22no—
627Q8—42no—
628Q8—42no—
629Q8—1884no—
630Q8—1888no—
631Q8C2×#1062535214yes—
632D4—942no—
633D4—942no—
634D4—1882no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—472no—
646C2×C4—472no—
647C2×C4—472no—
648C2×C4—472no—
649C2×C4—942no—
650C2×C4—942no—
651C2×C4—942no—
652C2×C4—942no—
653C2×C4—942no—
654C2×C4—942no—
655C2×C4—942no—
656C2×C4—1888no—
657C2×C4—1882no—
658C2×C4—1882no—
659C2×C4—1882no—
660C2×C4C2×D4×D4712yes—
661C2×C4C2×D4×D4712yes—
662C2×C4C2×D4×D4711yescharacteristic
663C2×C4C2×#1062535212yes—
664C2×C4#1309407112yes—
665C2×C4C24×D4711yescharacteristic
666C8—22no—
667C8—22no—
668C8—942no—
669C8—942no—
670C22—3764no—
671C22—1882no—
672C22—1882no—
673C22—1882no—
674C22#1568977912yes—
675C22#1568992212yes—
676C22#1568993612yes—
677C22C22×D4×D4711yescharacteristic
678C4—24no—
679C4—22no—
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—942no—
685C4—942no—
686C4—942no—
687C4—942no—
688C4—1882no—
689C4—1882no—
690C4—1882no—
691C4#1568977912yes—
692C4C22×#1062535211yescharacteristic
693C4C2×#1309407111yescharacteristic
694C2—3762no—
695C2#2025622314yesdirect product factor
696C2C2×#1568977911yescharacteristic
697C2C2×#1568992211yescharacteristic
698C2C2×#1568993611yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#462C2
socleC23×C47C22×D4
prime radicalC22×D188C23
hypercenterC2×#462D47
hypocenterC47C2×#3377
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#462

Complements

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

NH ≅ G/Ntype
1. C2×#15689849C2semidirect
3. #20256223C2direct (N × H)
4. C2×#15689491C2semidirect
7. C2×#15689428C2semidirect
8. C2×#15689416C2semidirect
12. C2×#15689252C2semidirect
13. C2×#15689230C2semidirect
15. C2×Q16×Dic47C2semidirect
16. C2×C47×#462C2semidirect
19. #15689849C22semidirect
41. #15689491C22semidirect
44. #15689428C22semidirect
46. #15689416C22semidirect
49. #15689252C22semidirect
50. #15689230C22semidirect
52. Q16×Dic47C22semidirect
73. C47×#462C22semidirect
356. C2×#462D47semidirect
361. C2×C47#3377semidirect
402. #462C2×D47semidirect
426. C47C2×#3377semidirect
695. C2#20256223direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156898492
C2×#156898472
#202562232
C2×#156894912
C2×#156894842
C2×#156894792
C2×#156894282
C2×#156894162
C2×#156894242
C2×#156893472
C2×#156892522
C2×#156892302
C2×#156892212
C2×Q16×Dic472
C2×C47×#4622
C2×#337747