Finite Group Databasebeta

← C2×#20256226 #27096071

Subgroups — C2×#20256226 #27096071

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×#15689845C211yesmaximal, characteristic
3#20256226C2116yesmaximal, direct product factor
4C2×#15689490C211yesmaximal, characteristic, complemented
5C2×#15689484C211yesmaximal, characteristic
6C2×#15689478C211yesmaximal, characteristic
7C2×#15689430C211yesmaximal, characteristic, complemented
8C2×#15689417C211yesmaximal, characteristic, complemented
9C2×#15689426C211yesmaximal, characteristic
10C2×#15689347C211yesmaximal, characteristic
11C2×#15689345C211yesmaximal, characteristic
12C2×#15689331C211yesmaximal, characteristic, complemented
13C2×#15689253C211yesmaximal, characteristic, complemented
14C2×#15689227C211yesmaximal, characteristic, complemented
15C2×#15689226C211yesmaximal, characteristic
16C2×C4×Q16×C47C211yesmaximal, characteristic, complemented
17C22×#10625337C2211yescharacteristic
18C22×#10625336C2211yescharacteristic
19#15689849—24no—
20#15689849C2218yescomplemented
21#15689845—24no—
22#15689845C2218yes—
23C2×#13094023—21no—
24C2×#13094023C2211yescharacteristic
25C2×#13094022C2211yescharacteristic
26C2×#13094019—21no—
27C2×#13094018—21no—
28C2×#13094016—21no—
29C2×#13094016C2211yescharacteristic
30C2×#13094015—21no—
31C2×#13094015C2211yescharacteristic
32C2×#13094013C2211yescharacteristic
33C2×#13094012C2211yescharacteristic
34C2×#13094002—21no—
35C2×Q8×Dic47C2211yescharacteristic
36C2×Q8×Dic47C2211yescharacteristic
37C2×C4×Dic94—21no—
38C2×C4×Dic94C2211yescharacteristic
39C2×#13093989C2211yescharacteristic
40C2×#13093986C2211yescharacteristic
41C2×#13093981—21no—
42#15689490C2218yescomplemented
43#15689484C2218yes—
44#15689478C2218yes—
45#15689430C2218yescomplemented
46#15689426C2218yes—
47#15689417C2218yescomplemented
48#15689347C2218yes—
49#15689345C2218yes—
50#15689331C2218yescomplemented
51#15689253C2218yescomplemented
52#15689227C2218yescomplemented
53#15689226C2218yes—
54C2×#13093957C2211yescharacteristic
55C2×#13093955C2211yescharacteristic
56C2×C4⋊(C47⋊C8)C2211yescharacteristic
57C2×Dic47⋊C8C2211yescharacteristic
58C2×Dic47⋊C8C2211yescharacteristic
59C2×#13093949C2211yescharacteristic
60C2×#13093949C2211yescharacteristic
61C2×#13093948C2211yescharacteristic
62C2×#13093948C2211yescharacteristic
63C2×#13093947C2211yescharacteristic
64C2×#13093946C2211yescharacteristic
65C2×#13093946C2211yescharacteristic
66C2×#13093944C2211yescharacteristic
67C2×#13093934C2211yescharacteristic
68C2×#13093934C2211yescharacteristic
69C22×Q16×C47C2211yescharacteristic
70C2×C4×Q8×C47C2211yescharacteristic
71C2×C4×Q8×C47C2211yescharacteristic
72C4×Q16×C47C2218yescomplemented
73C2×#107×C47C2211yescharacteristic
74C2×#103×C47C2211yescharacteristic
75C2×#103×C47C2211yescharacteristic
76C2×C4×C8×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94D411yescharacteristic
79C22×Dic94C2311yescharacteristic
80C22×D188C2311yescharacteristic
81C22×C4×D47—21no—
82C2×#10625337—24no—
83C2×#10625337C2314yes—
84C2×#10625336—24no—
85C2×#10625336C2314yes—
86C22×C47⋊C8C2311yescharacteristic
87C22×C47⋊C8C2311yescharacteristic
88#13094023—28no—
89#13094023—22no—
90#13094023C2314yes—
91#13094022—22no—
92#13094022C2314yes—
93#13094019—28no—
94#13094018—28no—
95#13094016—22no—
96#13094016—28no—
97#13094016C2314yes—
98#13094015—28no—
99#13094015—22no—
100#13094015C2314yes—
101#13094013—22no—
102#13094013C2314yes—
103#13094012—22no—
104#13094012C2314yes—
105#13094002—28no—
106Q8×Dic47—22no—
107Q8×Dic47—22no—
108Q8×Dic47C2314yes—
109Q8×Dic47C2314yes—
110C4×Dic94—28no—
111C4×Dic94D414yes—
112C4×Dic94C2314yes—
113#13093989—22no—
114#13093989C2314yes—
115#13093986—22no—
116#13093986C2314yes—
117#13093981—28no—
118C2×C4⋊Dic47—21no—
119C2×C4⋊Dic47—21no—
120C2×C4⋊Dic47—21no—
121C2×C4⋊Dic47D411yescharacteristic
122C2×C4⋊Dic47C2311yescharacteristic
123C2×C4⋊Dic47C2311yescharacteristic
124C2×Dic47⋊C4—21no—
125C2×Dic47⋊C4—21no—
126C2×Dic47⋊C4—21no—
127C2×Dic47⋊C4—21no—
128C2×Dic47⋊C4—21no—
129C2×Dic47⋊C4—21no—
130C2×Dic47⋊C4—21no—
131C2×Dic47⋊C4D411yescharacteristic
132C2×Dic47⋊C4D411yescharacteristic
133C2×(C2×D47)⋊C4—21no—
134C2×(C2×D47)⋊C4—21no—
135C2×(C2×D47)⋊C4—21no—
136C2×(C2×D47)⋊C4—21no—
137C2×(C2×D47)⋊C4—21no—
138C2×C4×Dic47—21no—
139C2×C4×Dic47—21no—
140C2×C4×Dic47—21no—
141C2×C4×Dic47C2311yescharacteristic
142C2×C4×Dic47C2311yescharacteristic
143#13093957C2314yes—
144#13093955C2314yes—
145C4⋊(C47⋊C8)C2314yes—
146Dic47⋊C8C2314yes—
147Dic47⋊C8C2314yes—
148#13093949C2314yes—
149#13093949C2314yes—
150#13093948C2314yes—
151#13093948C2314yes—
152#13093947C2314yes—
153#13093946C2314yes—
154#13093946C2314yes—
155#13093944C2314yes—
156#13093934C2314yes—
157#13093934C2314yes—
158C22×Q8×C47C2311yescharacteristic
159C22×Q8×C47C2311yescharacteristic
160C2×Q16×C47—24no—
161C2×Q16×C47C2314yes—
162C22×C8×C47C2311yescharacteristic
163C22×C8×C47C2311yescharacteristic
164C4×Q8×C47—22no—
165C4×Q8×C47—22no—
166C4×Q8×C47C2314yes—
167C4×Q8×C47C2314yes—
168C2×C4⋊C4×C47—21no—
169C2×C4⋊C4×C47—21no—
170C2×C4⋊C4×C47C2311yescharacteristic
171C2×C4⋊C4×C47C2311yescharacteristic
172C2×C42×C47—21no—
173C2×C42×C47—21no—
174C2×C42×C47C2311yescharacteristic
175#107×C47C2314yes—
176#103×C47C2314yes—
177#103×C47C2314yes—
178C4×C8×C47C2314yes—
179C23×D47—21no—
180C2×Q8×C47—21no—
181C2×Q8×C47—21no—
182C2×Q8×C47—22no—
183C2×Q8×C47—22no—
184C2×Q8×C47—22no—
185C2×Q8×C47#4114yes—
186C2×Q8×C47C2412yes—
187C2×Q8×C47C2412yes—
188C22×C4×C47—21no—
189C22×C4×C47—21no—
190C22×C4×C47—21no—
191C22×C4×C47—21no—
192C22×C4×C47C2×D411yescharacteristic
193C22×C4×C47C2×D411yescharacteristic
194C22×C4×C47C2411yescharacteristic
195C22×Dic47—21no—
196C22×Dic47—21no—
197C22×Dic47—21no—
198C22×Dic47C2×D411yescharacteristic
199C22×Dic47C2×D411yescharacteristic
200C22×Dic47C2×D411yescharacteristic
201C22×Dic47C2×D411yescharacteristic
202C2×D188—22no—
203C2×D188—22no—
204C2×D188—21no—
205C2×D188C2412yes—
206C2×C4×D47—24no—
207C2×C4×D47—44no—
208C2×Dic94—22no—
209C2×Dic94—22no—
210C2×Dic94—21no—
211C2×Dic94—24no—
212C2×Dic94—42no—
213C2×Dic94—44no—
214C2×Dic94C2×D414yes—
215C2×Dic94C2412yes—
216Q16×C47—28no—
217C2×C8×C47—22no—
218C2×C8×C47—22no—
219C2×C8×C47C2412yes—
220C2×C8×C47C2412yes—
221C4⋊C4×C47—24no—
222C4⋊C4×C47—24no—
223C4⋊C4×C47—21no—
224C4⋊C4×C47—21no—
225C4⋊C4×C47C2412yes—
226C4⋊C4×C47C2412yes—
227C42×C47—24no—
228C42×C47—24no—
229C42×C47C2×D412yes—
230C42×C47C2412yes—
231#10625337—28no—
232#10625336—28no—
233(C2×D47)⋊C4—24no—
234(C2×D47)⋊C4—24no—
235(C2×D47)⋊C4—24no—
236(C2×D47)⋊C4—24no—
237(C2×D47)⋊C4—24no—
238C4⋊Dic47—21no—
239C4⋊Dic47—21no—
240C4⋊Dic47—24no—
241C4⋊Dic47—24no—
242C4⋊Dic47—24no—
243C4⋊Dic47C2×D414yes—
244C4⋊Dic47C2412yes—
245C4⋊Dic47C2412yes—
246Dic47⋊C4—24no—
247Dic47⋊C4—24no—
248Dic47⋊C4—24no—
249Dic47⋊C4—24no—
250Dic47⋊C4—24no—
251Dic47⋊C4—24no—
252Dic47⋊C4—24no—
253Dic47⋊C4C2×D414yes—
254Dic47⋊C4C2×D414yes—
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—42no—
276Q8×C47C2×#4114yes—
277C2×C4×C47—24no—
278C2×C4×C47—22no—
279C2×C4×C47—22no—
280C2×C4×C47—22no—
281C2×C4×C47—22no—
282C2×C4×C47—22no—
283C2×C4×C47—22no—
284C2×C4×C47—42no—
285C2×C4×C47—42no—
286C2×C4×C47—42no—
287C2×C4×C47C22×D412yes—
288C2×C4×C47C22×D412yes—
289C2×C4×C47C22×D411yescharacteristic
290C2×C4×C47C2×#4112yes—
291C2×C4×C472−1+412yes—
292C2×C4×C47C2511yescharacteristic
293C2×Dic47—22no—
294C2×Dic47—22no—
295C2×Dic47—22no—
296C2×Dic47—22no—
297C2×Dic47—22no—
298C2×Dic47—22no—
299C2×Dic47—22no—
300C2×Dic47—42no—
301C2×Dic47—42no—
302C2×Dic47—42no—
303C2×Dic47C22×D412yes—
304C2×Dic47C22×D412yes—
305C2×Dic47C22×D412yes—
306C2×Dic47C22×D412yes—
307D188—22no—
308D188—22no—
309D188—42no—
310C4×D47—48no—
311Dic94—22no—
312Dic94—22no—
313Dic94—44no—
314Dic94—48no—
315Dic94—42no—
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×#462—471no—
357C2×#446—471no—
358C2×#441—471no—
359C2×#440—471no—
360C2×C4×Q16D4711yescharacteristic, complemented
361C2×C47#337714yescomplemented
362C2×C47C2×#54811yescharacteristic
363C2×C47C2×#57511yescharacteristic
364C2×C47C2×#57811yescharacteristic
365D47—82no—
366C22×Q16—471no—
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—471no—
375C2×C4⋊Q8—941no—
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—941no—
390C2×C4×Q8C2×D4711yescharacteristic
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#462—478no—
403#446—478no—
404#441—478no—
405#440—478no—
406C4×Q16C2×D4718yescomplemented
407C2×#107—471no—
408C2×#107C2×D4711yescharacteristic
409C2×#106—471no—
410C2×C4⋊C8—471no—
411C2×C4⋊C8—471no—
412C2×C4⋊C8—471no—
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×C8C2×D4711yescharacteristic
426C47C2×#337711yescharacteristic, complemented, Sylow
427C22×Q8—471no—
428C22×Q8—471no—
429C22×Q8—941no—
430C22×Q8C22×D4711yescharacteristic
431C22×Q8C22×D4711yescharacteristic
432C22×D4—471no—
433C23×C4—941no—
434C2×Q16—24no—
435C2×Q16—474no—
436C2×Q16—944no—
437C2×Q16C22×D4714yes—
438C2×SD16—474no—
439C2×SD16—944no—
440C22×C8—471no—
441C22×C8—471no—
442C22×C8C22×D4711yescharacteristic
443C22×C8C22×D4711yescharacteristic
444C4⋊Q8—474no—
445C4⋊Q8—474no—
446C4⋊Q8—942no—
447C4⋊Q8—942no—
448C4⋊Q8—948no—
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—22no—
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×Q8C22×D4714yes—
474C4×Q8C22×D4714yes—
475C4×D4—474no—
476C4×D4—942no—
477#117—948no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—471no—
481C2×C4⋊C4—471no—
482C2×C4⋊C4—471no—
483C2×C4⋊C4—471no—
484C2×C4⋊C4—471no—
485C2×C4⋊C4—941no—
486C2×C4⋊C4—941no—
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⋊C4C22×D4711yescharacteristic
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—21no—
504C2×C42—471no—
505C2×C42—471no—
506C2×C42—941no—
507C2×C42—941no—
508C2×C42—941no—
509C2×C42C22×D4711yescharacteristic
510#107—474no—
511#107C22×D4714yes—
512#106—474no—
513C4⋊C8—474no—
514C4⋊C8—474no—
515C4⋊C8—474no—
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×C8C22×D4714yes—
529C24—941no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—22no—
533C2×Q8—22no—
534C2×Q8—22no—
535C2×Q8—474no—
536C2×Q8—472no—
537C2×Q8—944no—
538C2×Q8—941no—
539C2×Q8—942no—
540C2×Q8—942no—
541C2×Q8—1882no—
542C2×Q8—1884no—
543C2×Q8#1062535014yes—
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—944no—
559C22×C4—941no—
560C22×C4—941no—
561C22×C4—941no—
562C22×C4—1884no—
563C22×C4D4×D4711yescharacteristic
564C22×C4D4×D4711yescharacteristic
565C22×C4C23×D4711yescharacteristic
566Q16—28no—
567Q16—948no—
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—21no—
580C4⋊C4—21no—
581C4⋊C4—474no—
582C4⋊C4—474no—
583C4⋊C4—474no—
584C4⋊C4—472no—
585C4⋊C4—472no—
586C4⋊C4—944no—
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⋊C4C23×D4712yes—
599C4⋊C4C23×D4712yes—
600C22⋊C4—944no—
601C22⋊C4—944no—
602C22⋊C4—944no—
603C22⋊C4—944no—
604C22⋊C4—944no—
605C42—24no—
606C42—24no—
607C42—472no—
608C42—472no—
609C42—472no—
610C42—472no—
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—42no—
626Q8—942no—
627Q8—942no—
628Q8—1884no—
629Q8—1888no—
630Q8—1882no—
631Q8C2×#1062535014yes—
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×#1062535012yes—
664C2×C4#1309407112yes—
665C2×C4C24×D4711yescharacteristic
666C8—22no—
667C8—22no—
668C8—942no—
669C8—942no—
670C22—3764no—
671C22—1882no—
672C22—1882no—
673C22—1882no—
674C22#1568978212yes—
675C22#1568992012yes—
676C22#1568993612yes—
677C22C22×D4×D4711yescharacteristic
678C4—22no—
679C4—24no—
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—942no—
685C4—942no—
686C4—942no—
687C4—942no—
688C4—1882no—
689C4—1882no—
690C4—1882no—
691C4#1568978212yes—
692C4C22×#1062535011yescharacteristic
693C4C2×#1309407111yescharacteristic
694C2—3762no—
695C2#2025622614yesdirect product factor
696C2C2×#1568978211yescharacteristic
697C2C2×#1568992011yescharacteristic
698C2C2×#1568993611yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C4×Q16×C47C2
socleC23×C47C22×D4
prime radicalC22×D188C23
hypercenterC2×C4×Q16D47
hypocenterC47C2×#3377
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×Q16

Complements

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

NH ≅ G/Ntype
1. C2×#15689849C2semidirect
3. #20256226C2direct (N × H)
4. C2×#15689490C2semidirect
7. C2×#15689430C2semidirect
8. C2×#15689417C2semidirect
12. C2×#15689331C2semidirect
13. C2×#15689253C2semidirect
14. C2×#15689227C2semidirect
16. C2×C4×Q16×C47C2semidirect
20. #15689849C22semidirect
42. #15689490C22semidirect
45. #15689430C22semidirect
47. #15689417C22semidirect
50. #15689331C22semidirect
51. #15689253C22semidirect
52. #15689227C22semidirect
72. C4×Q16×C47C22semidirect
360. C2×C4×Q16D47semidirect
361. C2×C47#3377semidirect
406. C4×Q16C2×D47semidirect
426. C47C2×#3377semidirect
695. C2#20256226direct (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×#156898452
#202562262
C2×#156894902
C2×#156894842
C2×#156894782
C2×#156894302
C2×#156894172
C2×#156894262
C2×#156893472
C2×#156893452
C2×#156893312
C2×#156892532
C2×#156892272
C2×#156892262
C2×C4×Q16×C472
C2×#337747