Finite Group Databasebeta

← C2×#20246751 #26384223

Subgroups — C2×#20246751 #26384223

Order 12032.

5566 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×Q8×D47C211yesmaximal, characteristic, complemented
2C22×#13094004C211yesmaximal, characteristic, complemented
3C22×#13094000C211yesmaximal, characteristic, complemented
4C22×C4×D188C211yesmaximal, characteristic
5#20246751C2116yesmaximal, direct product factor
6C2×#15689044C212yesmaximal, complemented
7C2×#15689036C212yesmaximal, complemented
8C2×#15689029C211yesmaximal, characteristic, complemented
9C2×#15689001C212yesmaximal
10C2×#15688997C212yesmaximal, complemented
11C2×#15688980C211yesmaximal, characteristic, complemented
12C2×C47×#391C211yesmaximal, characteristic, complemented
13C23×Dic94C2212yes—
14C23×Dic94C2211yescharacteristic
15C22×Q8×D47—28no—
16C22×Q8×D47—28no—
17C22×Q8×D47—28no—
18C22×Q8×D47C2218yescomplemented
19C23×D188C2211yescharacteristic
20C23×C4×D47C2212yes—
21C23×C4×D47C2211yescharacteristic
22C23×C4×D47C2211yescharacteristic
23C2×#13094004—28no—
24C2×#13094004C2218yescomplemented
25C2×#13094000—28no—
26C2×#13094000C2218yescomplemented
27C2×C4×D188—28no—
28C2×C4×D188C2218yes—
29C22×C4⋊Dic47C2212yes—
30C22×C4⋊Dic47C2211yescharacteristic
31C22×C4⋊Dic47C2211yescharacteristic
32C22×Dic47⋊C4C2212yes—
33C22×(C2×D47)⋊C4C2211yescharacteristic
34C22×(C2×D47)⋊C4C2212yes—
35C22×(C2×D47)⋊C4C2212yes—
36C22×(C2×D47)⋊C4C2212yes—
37C22×(C2×D47)⋊C4C2211yescharacteristic
38#15689044C22116yescomplemented
39#15689036C22116yescomplemented
40#15689029C2218yescomplemented
41#15689001C22116yes—
42#15688997C22116yescomplemented
43#15688980C2218yescomplemented
44C2×C47⋊#95C2212yes—
45C2×C47⋊#95C2212yes—
46C2×C47⋊#95C2212yes—
47C23×Q8×C47C2211yescharacteristic
48C22×C4⋊C4×C47C2211yescharacteristic
49C22×C42×C47C2211yescharacteristic
50C47×#391C2218yescomplemented
51C2×#95×C47C2212yes—
52C2×#95×C47C2212yes—
53C24×D47C2311yescharacteristic
54C24×D47C2311yescharacteristic
55C22×Dic94—28no—
56C22×Dic94—24no—
57C22×Dic94—24no—
58C22×Dic94—28no—
59C22×Dic94—28no—
60C22×Dic94D418yescomplemented
61C22×Dic94C2318yes—
62C22×Dic94C2314yes—
63C2×Q8×D47—2128no—
64C2×Q8×D47—232no—
65C2×Q8×D47—232no—
66C2×Q8×D47—232no—
67C22×D188—24no—
68C22×D188—24no—
69C22×D188Q818yescomplemented
70C22×D188C2314yes—
71C23×Dic47C2312yes—
72C23×Dic47C2311yescharacteristic
73C23×Dic47C2312yes—
74C23×Dic47C2311yescharacteristic
75C22×C4×D47—28no—
76C22×C4×D47—28no—
77C22×C4×D47—24no—
78C22×C4×D47—24no—
79C22×C4×D47—28no—
80C22×C4×D47—24no—
81C22×C4×D47—24no—
82C22×C4×D47—24no—
83C22×C4×D47D418yes—
84C22×C4×D47C2318yes—
85C22×C4×D47C2314yes—
86C22×C4×D47C2314yes—
87#13094004—232no—
88#13094000—232no—
89C4×D188—232no—
90C2×C4⋊Dic47—24no—
91C2×C4⋊Dic47—24no—
92C2×C4⋊Dic47—28no—
93C2×C4⋊Dic47C2314yes—
94C2×C4⋊Dic47C2318yes—
95C2×C4⋊Dic47C2314yes—
96C2×Dic47⋊C4—28no—
97C2×Dic47⋊C4C2318yes—
98C2×(C2×D47)⋊C4—24no—
99C2×(C2×D47)⋊C4—28no—
100C2×(C2×D47)⋊C4—28no—
101C2×(C2×D47)⋊C4—24no—
102C2×(C2×D47)⋊C4—28no—
103C2×(C2×D47)⋊C4C2318yes—
104C2×(C2×D47)⋊C4C2314yes—
105C2×(C2×D47)⋊C4C2318yes—
106C2×(C2×D47)⋊C4C2318yes—
107C2×(C2×D47)⋊C4C2314yes—
108C47⋊#95C2318yes—
109C47⋊#95C2318yes—
110C47⋊#95C2318yes—
111C22×Q8×C47—24no—
112C22×Q8×C47—24no—
113C22×Q8×C47D418yescomplemented
114C22×Q8×C47C2314yes—
115C23×C4×C47C2311yescharacteristic
116C23×C4×C47C2312yes—
117C23×C4×C47C2312yes—
118C23×C4×C47C2311yescharacteristic
119C23×C4×C47C2311yescharacteristic
120C2×C4⋊C4×C47—24no—
121C2×C4⋊C4×C47C2314yes—
122C2×C42×C47—24no—
123C2×C42×C47C2314yes—
124#95×C47C2318yes—
125#95×C47C2318yes—
126C24×C47C2411yescharacteristic
127C23×D47—22no—
128C23×D47—22no—
129C23×D47—22no—
130C23×D47—22no—
131C23×D47—22no—
132C23×D47—22no—
133C23×D47—22no—
134C23×D47—22no—
135C23×D47—22no—
136C23×D47—22no—
137C23×D47C2×D414yes—
138C23×D47C2×Q814yes—
139C23×D47C2×Q814yescomplemented
140C23×D47#4114yes—
141C23×D47C2412yes—
142C23×D47C2412yes—
143C2×Q8×C47—232no—
144C2×Q8×C47—28no—
145C2×Q8×C47—28no—
146C2×Q8×C47C2×D4116yescomplemented
147C22×C4×C47—22no—
148C22×C4×C47—24no—
149C22×C4×C47—24no—
150C22×C4×C47—22no—
151C22×C4×C47—22no—
152C22×C4×C47—24no—
153C22×C4×C47—24no—
154C22×C4×C47—22no—
155C22×C4×C47—22no—
156C22×C4×C47—24no—
157C22×C4×C47C2×D418yes—
158C22×C4×C47C2×D414yes—
159C22×C4×C47C2×D414yes—
160C22×C4×C47C2×D414yes—
161C22×C4×C47C2×Q814yescomplemented
162C22×C4×C47C2412yes—
163C22×C4×C47C2414yes—
164C22×C4×C47C2414yes—
165C22×C4×C47C2412yes—
166C22×C4×C47C2412yes—
167C22×Dic47—24no—
168C22×Dic47—22no—
169C22×Dic47—22no—
170C22×Dic47—24no—
171C22×Dic47—24no—
172C22×Dic47—22no—
173C22×Dic47—22no—
174C22×Dic47—22no—
175C22×Dic47—24no—
176C22×Dic47—24no—
177C22×Dic47C2×D418yes—
178C22×Dic47C2×D414yes—
179C22×Dic47C2414yes—
180C22×Dic47C2412yes—
181C22×Dic47C2412yes—
182C22×Dic47C2414yes—
183Q8×D47—2256no—
184C2×D188—232no—
185C2×D188—28no—
186C2×D188—28no—
187C2×D188C2×Q8116yescomplemented
188C2×C4×D47—264no—
189C2×C4×D47—216no—
190C2×C4×D47—232no—
191C2×C4×D47—216no—
192C2×C4×D47—28no—
193C2×C4×D47—28no—
194C2×C4×D47—216no—
195C2×C4×D47—28no—
196C2×C4×D47—28no—
197C2×C4×D47—28no—
198C2×C4×D47—416no—
199C2×C4×D47C2×D4116yes—
200C2×Dic94—264no—
201C2×Dic94—232no—
202C2×Dic94—216no—
203C2×Dic94—28no—
204C2×Dic94—28no—
205C2×Dic94—216no—
206C2×Dic94—216no—
207C2×Dic94C2×D4116yescomplemented
208C4⋊C4×C47—28no—
209C42×C47—28no—
210(C2×D47)⋊C4—28no—
211(C2×D47)⋊C4—216no—
212(C2×D47)⋊C4—216no—
213(C2×D47)⋊C4—28no—
214(C2×D47)⋊C4—216no—
215C4⋊Dic47—28no—
216C4⋊Dic47—28no—
217C4⋊Dic47—216no—
218Dic47⋊C4—216no—
219C23×C47C22×D412yes—
220C23×C47C22×D412yes—
221C23×C47C22×D412yes—
222C23×C47C22×Q812yes—
223C23×C47C2×#4112yes—
224C23×C472−1+412yes—
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×D47—28no—
238C22×D47—28no—
239C22×D47—28no—
240C22×D47—22no—
241C22×D47—22no—
242C22×D47—22no—
243C22×D47—22no—
244C22×D47—22no—
245C22×D47—22no—
246C22×D47—44no—
247C22×D47—44no—
248C22×D47—44no—
249C22×D47—44no—
250C22×D47C22⋊Q8116yescomplemented
251C22×D47C22×D414yes—
252C22×D47C22×Q814yes—
253C22×D47C22×Q814yescomplemented
254C22×D47C2×#4114yes—
255Q8×C47—232no—
256C2×C4×C47—216no—
257C2×C4×C47—28no—
258C2×C4×C47—22no—
259C2×C4×C47—24no—
260C2×C4×C47—24no—
261C2×C4×C47—22no—
262C2×C4×C47—24no—
263C2×C4×C47—22no—
264C2×C4×C47—24no—
265C2×C4×C47—22no—
266C2×C4×C47—24no—
267C2×C4×C47—22no—
268C2×C4×C47—44no—
269C2×C4×C47—48no—
270C2×C4×C47#120116yes—
271C2×C4×C47C22×D414yes—
272C2×C4×C47C22×D414yes—
273C2×C4×C47C22×D418yes—
274C2×C4×C47C22×D414yes—
275C2×C4×C47C22×Q814yescomplemented
276C2×Dic47—28no—
277C2×Dic47—216no—
278C2×Dic47—24no—
279C2×Dic47—22no—
280C2×Dic47—22no—
281C2×Dic47—24no—
282C2×Dic47—22no—
283C2×Dic47—24no—
284C2×Dic47—22no—
285C2×Dic47—22no—
286C2×Dic47—24no—
287C2×Dic47—24no—
288C2×Dic47—44no—
289C2×Dic47—48no—
290C2×Dic47C22×D414yes—
291C2×Dic47C22×D418yes—
292D188—232no—
293C4×D47—264no—
294C4×D47—232no—
295C4×D47—416no—
296Dic94—264no—
297Dic94—232no—
298C2×#2409—471nomaximal, Sylow
299C22×C47C2×#12014yes—
300C22×C47C2×C22⋊Q814yes—
301C22×C47#53614yes—
302C22×C47#54814yes—
303C22×C47#54814yes—
304C22×C47D4×Q814yes—
305C22×C47D4×Q814yes—
306C22×C47C23×D411yescharacteristic
307C22×C47C23×D411yescharacteristic
308C22×C47C23×D411yescharacteristic
309C22×C47C23×Q811yescharacteristic
310C22×C47C22×#4111yescharacteristic
311C22×C47C2×2−1+411yescharacteristic
312C22×C47C2×2−1+411yescharacteristic
313C2×D47—24no—
314C2×D47—232no—
315C2×D47—24no—
316C2×D47—24no—
317C2×D47—24no—
318C2×D47—24no—
319C2×D47—24no—
320C2×D47—24no—
321C2×D47—24no—
322C2×D47—24no—
323C2×D47—42no—
324C2×D47—416no—
325C2×D47—42no—
326C2×D47—42no—
327C2×D47—42no—
328C2×D47C2×C22⋊Q818yescomplemented
329C4×C47—28no—
330C4×C47—24no—
331C4×C47—42no—
332C4×C47—44no—
333C4×C47C2×#12018yes—
334Dic47—24no—
335Dic47—28no—
336Dic47—42no—
337Dic47—44no—
338C24×Q8—471no—
339C22×C22⋊Q8—471no—
340C22×C22⋊Q8—471no—
341C22×C4×D4—471no—
342#2409—4716no—
343C2×#395—472no—
344C2×#393—472no—
345C2×#391—471no—
346C2×#391D4711yescharacteristic, complemented
347C2×#386—472no—
348C2×#385—472no—
349C2×#380—471no—
350C2×C47#240918yescomplemented
351C2×C47C22×#12011yescharacteristic
352C2×C47C22×C22⋊Q811yescharacteristic
353C2×C47C2×#53611yescharacteristic
354C2×C47C2×#54811yescharacteristic
355C2×C47C2×#54811yescharacteristic
356C2×C47C2×D4×Q811yescharacteristic
357C2×C47C2×D4×Q811yescharacteristic
358D47—28no—
359D47—44no—
360C23×Q8—478no—
361C23×Q8—471no—
362C23×Q8—472no—
363C23×Q8—948no—
364C23×Q8—948no—
365C23×Q8—948no—
366C23×Q8C2×D4711yescharacteristic
367C23×D4—471no—
368C24×C4—471no—
369C24×C4—472no—
370C24×C4—471no—
371C2×C22⋊Q8—478no—
372C2×C22⋊Q8—478no—
373C2×C22⋊Q8—948no—
374C2×C22⋊Q8—948no—
375C2×C4×D4—478no—
376C2×C4×D4—948no—
377C22×C4⋊C4—471no—
378C22×C4⋊C4—472no—
379C22×C4⋊C4—472no—
380C22×C4⋊C4—471no—
381C22×C4⋊C4C2×D4711yescharacteristic
382C22×C22⋊C4—471no—
383C22×C22⋊C4—472no—
384C22×C22⋊C4—472no—
385C22×C22⋊C4—471no—
386C22×C22⋊C4—472no—
387C22×C42C2×D4711yescharacteristic
388#395—4716no—
389#393—4716no—
390#391—478no—
391#391C2×D4718yescomplemented
392#386—4716no—
393#385—4716no—
394#380—478no—
395C2×#95—472no—
396C2×#95—472no—
397C2×#95—472no—
398C2×#95C2×D4712yes—
399C2×#95C2×D4712yes—
400C47C2×#240911yescharacteristic, complemented, Sylow
401C25—471no—
402C25—471no—
403C22×Q8—24no—
404C22×Q8—24no—
405C22×Q8—478no—
406C22×Q8—474no—
407C22×Q8—478no—
408C22×Q8—948no—
409C22×Q8—948no—
410C22×Q8—9432no—
411C22×Q8—9432no—
412C22×Q8—94128no—
413C22×Q8—9432no—
414C22×Q8—948no—
415C22×Q8—944no—
416C22×Q8—944no—
417C22×Q8D18818yescomplemented
418C22×Q8C22×D4714yes—
419C22×D4—478no—
420C22×D4—474no—
421C22×D4—944no—
422C22×D4—944no—
423C23×C4—471no—
424C23×C4—472no—
425C23×C4—478no—
426C23×C4—474no—
427C23×C4—472no—
428C23×C4—471no—
429C23×C4—474no—
430C23×C4—478no—
431C23×C4—948no—
432C23×C4—948no—
433C23×C4—948no—
434C23×C4—944no—
435C23×C4—944no—
436C23×C4—944no—
437C23×C4—944no—
438C23×C4—944no—
439C23×C4C22×D4712yes—
440C23×C4C22×D4711yescharacteristic
441C23×C4C22×D4712yes—
442C23×C4C22×D4711yescharacteristic
443C23×C4C22×D4711yescharacteristic
444C22⋊Q8—9432no—
445C22⋊Q8—9432no—
446C4×D4—9432no—
447C2×C4⋊C4—24no—
448C2×C4⋊C4—474no—
449C2×C4⋊C4—478no—
450C2×C4⋊C4—474no—
451C2×C4⋊C4—478no—
452C2×C4⋊C4—944no—
453C2×C4⋊C4—948no—
454C2×C4⋊C4—948no—
455C2×C4⋊C4—944no—
456C2×C4⋊C4C22×D4714yes—
457C2×C22⋊C4—474no—
458C2×C22⋊C4—474no—
459C2×C22⋊C4—478no—
460C2×C22⋊C4—478no—
461C2×C22⋊C4—478no—
462C2×C22⋊C4—944no—
463C2×C22⋊C4—948no—
464C2×C22⋊C4—944no—
465C2×C22⋊C4—948no—
466C2×C22⋊C4—948no—
467C2×C42—24no—
468C2×C42C22×D4714yes—
469#95—478no—
470#95—478no—
471#95—478no—
472#95C22×D4718yes—
473#95C22×D4718yes—
474C24—474no—
475C24—474no—
476C24—474no—
477C24—472no—
478C24—474no—
479C24—472no—
480C24—942no—
481C24—942no—
482C24—942no—
483C24—942no—
484C24—942no—
485C24—942no—
486C24—942no—
487C24—942no—
488C24—942no—
489C24—942no—
490C24C23×D4711yescharacteristic
491C2×Q8—232no—
492C2×Q8—28no—
493C2×Q8—28no—
494C2×Q8—4716no—
495C2×Q8—9416no—
496C2×Q8—9416no—
497C2×Q8—9464no—
498C2×Q8—94256no—
499C2×Q8—9432no—
500C2×Q8—948no—
501C2×Q8—9416no—
502C2×Q8—948no—
503C2×Q8C2×D188116yescomplemented
504C2×D4—4716no—
505C2×D4—948no—
506C2×D4—9432no—
507C2×D4—948no—
508C22×C4—22no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—474no—
519C22×C4—478no—
520C22×C4—472no—
521C22×C4—474no—
522C22×C4—4716no—
523C22×C4—474no—
524C22×C4—472no—
525C22×C4—9416no—
526C22×C4—9416no—
527C22×C4—9464no—
528C22×C4—942no—
529C22×C4—944no—
530C22×C4—942no—
531C22×C4—944no—
532C22×C4—9432no—
533C22×C4—948no—
534C22×C4—9416no—
535C22×C4—948no—
536C22×C4—942no—
537C22×C4—942no—
538C22×C4—944no—
539C22×C4—942no—
540C22×C4—944no—
541C22×C4—944no—
542C22×C4—948no—
543C22×C4—948no—
544C22×C4—948no—
545C22×C4—18816no—
546C22×C4C2×D18818yes—
547C22×C4C2×D18814yes—
548C22×C4D4×D4714yes—
549C22×C4D4×D4714yes—
550C22×C4Q8×D4714yescomplemented
551C22×C4C23×D4712yes—
552C22×C4C23×D4714yes—
553C22×C4C23×D4714yes—
554C22×C4C23×D4712yes—
555C22×C4C23×D4712yes—
556C4⋊C4—28no—
557C4⋊C4—948no—
558C4⋊C4—9416no—
559C4⋊C4—9416no—
560C4⋊C4—948no—
561C22⋊C4—948no—
562C22⋊C4—9416no—
563C22⋊C4—9416no—
564C22⋊C4—948no—
565C22⋊C4—9416no—
566C42—28no—
567C23—4716no—
568C23—474no—
569C23—474no—
570C23—474no—
571C23—474no—
572C23—948no—
573C23—948no—
574C23—948no—
575C23—948no—
576C23—948no—
577C23—942no—
578C23—942no—
579C23—948no—
580C23—942no—
581C23—942no—
582C23—948no—
583C23—948no—
584C23—948no—
585C23—942no—
586C23—942no—
587C23—942no—
588C23—942no—
589C23—942no—
590C23—942no—
591C23—1884no—
592C23—1884no—
593C23—1884no—
594C23—1884no—
595C23C2×D4×D4712yes—
596C23C2×D4×D4712yes—
597C23C22×D18812yes—
598C23C2×Q8×D4712yes—
599C23#41×D4712yes—
600C23#1309407112yes—
601C23#1309407212yes—
602C23C24×D4711yescharacteristic
603Q8—232no—
604Q8—9464no—
605Q8—9432no—
606D4—9432no—
607C2×C4—216no—
608C2×C4—28no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—48no—
620C2×C4—44no—
621C2×C4—474no—
622C2×C4—478no—
623C2×C4—9464no—
624C2×C4—948no—
625C2×C4—9416no—
626C2×C4—942no—
627C2×C4—944no—
628C2×C4—942no—
629C2×C4—944no—
630C2×C4—9432no—
631C2×C4—942no—
632C2×C4—942no—
633C2×C4—944no—
634C2×C4—942no—
635C2×C4—944no—
636C2×C4—944no—
637C2×C4—1888no—
638C2×C4—1884no—
639C2×C4—18816no—
640C2×C4#13093994116yes—
641C2×C4C2×D4×D4714yes—
642C2×C4C2×D4×D4714yes—
643C2×C4C22×D18818yes—
644C2×C4C22×D18814yes—
645C2×C4C2×Q8×D4714yescomplemented
646C22—478no—
647C22—944no—
648C22—944no—
649C22—944no—
650C22—944no—
651C22—944no—
652C22—944no—
653C22—9432no—
654C22—944no—
655C22—944no—
656C22—944no—
657C22—1882no—
658C22—1882no—
659C22—1882no—
660C22—1882no—
661C22—18816no—
662C22C2×#1309399414yes—
663C22C22⋊Q8×D4714yes—
664C22#1568969614yes—
665C22#1568978114yes—
666C22#1568978514yes—
667C22#1568978814yes—
668C22Q8×D18814yes—
669C22C22×D4×D4711yescharacteristic
670C22C22×D4×D4711yescharacteristic
671C22C23×D18811yescharacteristic
672C22C22×Q8×D4711yescharacteristic
673C22C2×#41×D4711yescharacteristic
674C22C2×#1309407111yescharacteristic
675C22C2×#1309407211yescharacteristic
676C4—28no—
677C4—24no—
678C4—44no—
679C4—42no—
680C4—944no—
681C4—948no—
682C4—1884no—
683C4—1882no—
684C4C2×#1309399418yes—
685C2—948no—
686C2—1884no—
687C2#2024675118yesdirect product factor
688C2C22×#1309399411yescharacteristic
689C2C2×C22⋊Q8×D4711yescharacteristic
690C2C2×#1568969611yescharacteristic
691C2C2×#1568978111yescharacteristic
692C2C2×#1568978511yescharacteristic
693C2C2×#1568978811yescharacteristic
694C2C2×Q8×D18811yescharacteristic
subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC2×C47×#391C2
socleC24×C47C24
prime radicalC23×D188C22
hypercenterC2×#391D47
hypocenterC47C2×#2409
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#391

Complements

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

NH ≅ G/Ntype
1. C23×Q8×D47C2semidirect
2. C22×#13094004C2semidirect
3. C22×#13094000C2semidirect
5. #20246751C2direct (N × H)
6. C2×#15689044C2semidirect
7. C2×#15689036C2semidirect
8. C2×#15689029C2semidirect
10. C2×#15688997C2semidirect
11. C2×#15688980C2semidirect
12. C2×C47×#391C2semidirect
18. C22×Q8×D47C22semidirect
24. C2×#13094004C22semidirect
26. C2×#13094000C22semidirect
38. #15689044C22semidirect
39. #15689036C22semidirect
40. #15689029C22semidirect
42. #15688997C22semidirect
43. #15688980C22semidirect
50. C47×#391C22semidirect
60. C22×Dic94D4semidirect
69. C22×D188Q8semidirect
113. C22×Q8×C47D4semidirect
139. C23×D47C2×Q8semidirect
146. C2×Q8×C47C2×D4semidirect
161. C22×C4×C47C2×Q8semidirect
187. C2×D188C2×Q8semidirect
207. C2×Dic94C2×D4semidirect
250. C22×D47C22⋊Q8semidirect
253. C22×D47C22×Q8semidirect
275. C2×C4×C47C22×Q8semidirect
328. C2×D47C2×C22⋊Q8semidirect
346. C2×#391D47semidirect
350. C2×C47#2409semidirect
391. #391C2×D47semidirect
400. C47C2×#2409semidirect
417. C22×Q8D188semidirect
503. C2×Q8C2×D188semidirect
550. C22×C4Q8×D47semidirect
645. C2×C4C2×Q8×D47semidirect
687. C2#20246751direct (N × H)

Maximal subgroups

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

subgroupindex
C23×Q8×D472
C22×#130940042
C22×#130940002
C22×C4×D1882
#202467512
C2×#156890442
C2×#156890362
C2×#156890292
C2×#156890012
C2×#156889972
C2×#156889802
C2×C47×#3912
C2×#240947