Finite Group Databasebeta

← C2×#20243764 #26217776

Subgroups — C2×#20243764 #26217776

Order 12032.

2018 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094049C211yesmaximal, characteristic
2C22×#13093951C211yesmaximal, characteristic, complemented
3C2×#15689127C211yesmaximal, characteristic, complemented
4C2×#15689024C211yesmaximal, characteristic, complemented
5#20243764C218yesmaximal, direct product factor
6C2×#15688892C211yesmaximal, characteristic, complemented
7C2×#15688882C211yesmaximal, characteristic, complemented
8C2×C47×#520C211yesmaximal, characteristic, complemented
9C23×D188C2211yescharacteristic
10C2×#13094049—24no—
11C2×#13094049—22no—
12C2×#13094049C418yescomplemented
13C2×#13094049C2214yes—
14C22×#10625336—21no—
15C22×#10625334—21no—
16C22×#10625329C2211yescharacteristic
17C22×#10625329C2211yescharacteristic
18C22×(C2×D47)⋊C4—22no—
19C22×C4×Dic47C2211yescharacteristic
20C2×#13093951—24no—
21C2×#13093951C2214yescomplemented
22#15689127—22no—
23#15689127C2214yescomplemented
24C2×#13093944—21no—
25C2×#13093944—21no—
26#15689024—22no—
27#15689024C2214yescomplemented
28#15688892C2214yescomplemented
29#15688882C2214yescomplemented
30C22×#41×C47C2211yescharacteristic
31C47×#520—22no—
32C47×#520—22no—
33C47×#520—22no—
34C47×#520C2214yescomplemented
35C2×C4×Q8×C47—21no—
36C2×C4×D4×C47—21no—
37C2×C4×D4×C47—22no—
38C2×#117×C47—21no—
39C2×#117×C47C2211yescharacteristic
40C22×C4⋊C4×C47—21no—
41C22×C4⋊C4×C47C2211yescharacteristic
42C24×D47—21no—
43C22×D188—21no—
44C22×D188—21no—
45C22×D188—21no—
46C22×D188—22no—
47C22×D188—21no—
48C22×D188—22no—
49C22×D188—21no—
50C22×D188—22no—
51C22×D188C2×C414yescomplemented
52C22×D188C2312yes—
53C23×Dic47—21no—
54#13094049—216no—
55#13094049—28no—
56#13094049C2×C4116yescomplemented
57C2×#10625336—28no—
58C2×#10625336—24no—
59C2×#10625334—28no—
60C2×#10625334—24no—
61C2×#10625329—22no—
62C2×#10625329—21no—
63C2×#10625329—21no—
64C2×#10625329—22no—
65C2×#10625329—22no—
66C2×#10625329C2×C414yescomplemented
67C2×#10625329C2312yes—
68C2×#10625329C2312yes—
69C22×C47⋊C8—21no—
70C22×C47⋊C8—21no—
71C2×(C2×D47)⋊C4—28no—
72C2×(C2×D47)⋊C4—48no—
73C2×C4×Dic47—22no—
74C2×C4×Dic47—22no—
75C2×C4×Dic47—21no—
76C2×C4×Dic47C2312yes—
77#13093951—28no—
78#13093944—24no—
79#13093944—24no—
80C2×#41×C47—21no—
81C2×#41×C47—21no—
82C2×#41×C47—22no—
83C2×#41×C47—22no—
84C2×#41×C47C2×C414yes—
85C2×#41×C47D414yes—
86C2×#41×C47D412yes—
87C2×#41×C47C2312yes—
88C22×Q8×C47D411yescharacteristic
89C22×D4×C47—21no—
90C22×D4×C47D411yescharacteristic
91C23×C4×C47—21no—
92C23×C4×C47—22no—
93C23×C4×C47D412yes—
94C23×C4×C47C2311yescharacteristic
95C4×Q8×C47—24no—
96C4×Q8×C47—24no—
97C4×D4×C47—28no—
98C4×D4×C47—24no—
99C4×D4×C47—24no—
100C4×D4×C47—28no—
101#117×C47—24no—
102#117×C47—21no—
103#117×C47—21no—
104#117×C47—24no—
105#117×C47D412yes—
106#117×C47C2312yes—
107C2×C4⋊C4×C47—22no—
108C2×C4⋊C4×C47—24no—
109C2×C4⋊C4×C47—21no—
110C2×C4⋊C4×C47—21no—
111C2×C4⋊C4×C47—21no—
112C2×C4⋊C4×C47—21no—
113C2×C4⋊C4×C47—24no—
114C2×C4⋊C4×C47D412yes—
115C2×C4⋊C4×C47D411yescharacteristic
116C2×C4⋊C4×C47D411yescharacteristic
117C2×C4⋊C4×C47C2312yes—
118C2×C22⋊C4×C47—22no—
119C2×C22⋊C4×C47—21no—
120C2×C42×C47—22no—
121C2×C42×C47—21no—
122C24×C47—21no—
123C24×C47C2×D411yescharacteristic
124C23×D47—24no—
125C23×D47—22no—
126C23×D47—44no—
127C23×D47—44no—
128C23×D47—41no—
129C23×D47—41no—
130C23×D47—42no—
131#41×C47—24no—
132#41×C47—24no—
133#41×C47—24no—
134#41×C47—24no—
135#41×C47—24no—
136#41×C47—22no—
137#41×C47—22no—
138#41×C47C22⋊C418yescomplemented
139#41×C47C22×C414yes—
140#41×C47C2×D414yes—
141C2×Q8×C47—21no—
142C2×Q8×C47—22no—
143C2×Q8×C47C22⋊C414yescomplemented
144C2×Q8×C47C2×D412yes—
145C2×D4×C47—24no—
146C2×D4×C47—22no—
147C2×D4×C47—24no—
148C2×D4×C47—22no—
149C2×D4×C47—21no—
150C2×D4×C47—22no—
151C2×D4×C47C22⋊C414yescomplemented
152C2×D4×C47C2×D412yes—
153C22×C4×C47—21no—
154C22×C4×C47—24no—
155C22×C4×C47—22no—
156C22×C4×C47—24no—
157C22×C4×C47—22no—
158C22×C4×C47—21no—
159C22×C4×C47—22no—
160C22×C4×C47—21no—
161C22×C4×C47—28no—
162C22×C4×C47—22no—
163C22×C4×C47—44no—
164C22×C4×C47—84no—
165C22×C4×C47C22×C412yes—
166C22×C4×C47C2×D414yes—
167C22×C4×C47C2×D411yescharacteristic
168C22×C4×C47C2×D411yescharacteristic
169C22×C4×C47C2×D412yes—
170C22×C4×C47C2×D411yescharacteristic
171C22×C4×C47C2×D411yescharacteristic
172C22×C4×C47C2×D411yescharacteristic
173C22×C4×C47#4112yes—
174C22×C4×C47#4112yes—
175C22×C4×C47C2411yescharacteristic
176C22×Dic47—24no—
177C22×Dic47—22no—
178C22×Dic47—42no—
179C22×Dic47—42no—
180C2×D188—24no—
181C2×D188—24no—
182C2×D188—24no—
183C2×D188—24no—
184C2×D188—22no—
185C2×D188—22no—
186C2×D188—22no—
187C2×D188—22no—
188C2×D188—24no—
189C2×D188—22no—
190C2×D188—41no—
191C2×D188—41no—
192C2×D188—42no—
193C2×D188—42no—
194C2×D188—42no—
195C2×D188—42no—
196C2×D188—42no—
197C2×D188C22×C414yescomplemented
198C4⋊C4×C47—28no—
199C4⋊C4×C47—22no—
200C4⋊C4×C47—21no—
201C4⋊C4×C47—22no—
202C4⋊C4×C47—21no—
203C4⋊C4×C47—22no—
204C4⋊C4×C47—22no—
205C4⋊C4×C47C2×D412yes—
206C4⋊C4×C47C2×D412yes—
207C22⋊C4×C47—28no—
208C22⋊C4×C47—22no—
209C22⋊C4×C47—22no—
210C42×C47—28no—
211C42×C47—22no—
212C42×C47—22no—
213#10625336—216no—
214#10625334—216no—
215(C2×D47)⋊C4—416no—
216C4×Dic47—22no—
217C4×Dic47—22no—
218C4×Dic47—42no—
219#10625329—24no—
220#10625329—22no—
221#10625329—22no—
222#10625329—22no—
223#10625329—42no—
224#10625329C22×C414yescomplemented
225C2×C47⋊C8—24no—
226C2×C47⋊C8—22no—
227C2×C47⋊C8—22no—
228C2×C47⋊C8—42no—
229C23×C47—22no—
230C23×C47—22no—
231C23×C47—22no—
232C23×C47—24no—
233C23×C47—42no—
234C23×C47—42no—
235C23×C47C4×D412yes—
236C23×C47#12011yescharacteristic
237C23×C47#12011yescharacteristic
238C23×C47#12112yes—
239C23×C47C22×D411yescharacteristic
240C22×D47—24no—
241C22×D47—44no—
242C22×D47—416no—
243C22×D47—44no—
244C22×D47—42no—
245C22×D47—42no—
246C22×D47—44no—
247C22×D47—44no—
248C22×D47—88no—
249C22×D47—82no—
250C22×D47—82no—
251C22×D47—82no—
252C22×D47—82no—
253Q8×C47—22no—
254Q8×C47—24no—
255Q8×C47C2×C22⋊C414yescomplemented
256D4×C47—24no—
257D4×C47—24no—
258D4×C47—28no—
259D4×C47—22no—
260D4×C47—24no—
261D4×C47C2×C22⋊C414yescomplemented
262C2×C4×C47—22no—
263C2×C4×C47—24no—
264C2×C4×C47—24no—
265C2×C4×C47—24no—
266C2×C4×C47—28no—
267C2×C4×C47—22no—
268C2×C4×C47—24no—
269C2×C4×C47—22no—
270C2×C4×C47—44no—
271C2×C4×C47—42no—
272C2×C4×C47—42no—
273C2×C4×C47—44no—
274C2×C4×C47—82no—
275C2×C4×C47—88no—
276C2×C4×C47C2×C22⋊C412yes—
277C2×C4×C47C2×C22⋊C412yes—
278C2×C4×C47C4×D412yes—
279C2×C4×C47C4×D412yes—
280C2×C4×C47C4×D412yes—
281C2×C4×C47#12011yescharacteristic
282C2×C4×C47#12011yescharacteristic
283C2×C4×C47#12112yes—
284C2×C4×C47#12112yes—
285C2×C4×C47#12112yes—
286C2×C4×C47#12312yes—
287C2×C4×C47#12312yes—
288C2×C4×C47C23×C411yescharacteristic
289C2×C4×C47C22×D411yescharacteristic
290C2×C4×C47C22×D411yescharacteristic
291C2×C4×C47C22×D411yescharacteristic
292C2×C4×C47C2×#4111yescharacteristic
293C2×C4×C47C2×#4111yescharacteristic
294C2×Dic47—24no—
295C2×Dic47—48no—
296C2×Dic47—42no—
297C2×Dic47—42no—
298D188—24no—
299D188—24no—
300D188—42no—
301D188—42no—
302D188—44no—
303D188—44no—
304C47⋊C8—24no—
305C47⋊C8—42no—
306C2×#1883—471nomaximal, Sylow
307C22×C47—24no—
308C22×C47—24no—
309C22×C47—21no—
310C22×C47—21no—
311C22×C47—21no—
312C22×C47—21no—
313C22×C47—24no—
314C22×C47—48no—
315C22×C47—42no—
316C22×C47—42no—
317C22×C47#38612yes—
318C22×C47#38612yes—
319C22×C47#45312yes—
320C22×C47#45412yes—
321C22×C47C2×C4×D411yescharacteristic
322C22×C47C2×#12011yescharacteristic
323C22×C47C2×#12111yescharacteristic
324C2×D47—48no—
325C2×D47—44no—
326C2×D47—84no—
327C2×D47—88no—
328C2×D47—88no—
329C2×D47—82no—
330C2×D47—82no—
331C4×C47—24no—
332C4×C47—44no—
333C4×C47—42no—
334C4×C47—42no—
335C4×C47#38612yes—
336C4×C47#38612yes—
337C4×C47C22×C22⋊C411yescharacteristic
338C4×C47C2×C4×D411yescharacteristic
339C4×C47C2×#12111yescharacteristic
340C4×C47C2×#12311yescharacteristic
341Dic47—44no—
342C22×AGL(1,ℤ/8)—471no—
343C2×#520D4711yescharacteristic, complemented
344C22×#104—471no—
345C2×#418—471no—
346C2×#390—471no—
347#1883—478no—
348C2×#343—471no—
349C2×#339—471no—
350C2×C47—21no—
351C2×C47—21no—
352C2×C47—22no—
353C2×C47—44no—
354C2×C47#188314yescomplemented
355C2×C47C2×#38611yescharacteristic
356C2×C47C2×#45311yescharacteristic
357C2×C47C2×#45411yescharacteristic
358D47—84no—
359C22×#41C2×D4711yescharacteristic
360C23×D4—471no—
361C2×AGL(1,ℤ/8)—478no—
362C2×AGL(1,ℤ/8)—474no—
363C2×AGL(1,ℤ/8)—944no—
364C2×AGL(1,ℤ/8)—942no—
365C22×SD16—941no—
366C22×D8—941no—
367C22×M16—471no—
368C22×M16—471no—
369#520—22no—
370#520—22no—
371#520—22no—
372#520C2×D4714yescomplemented
373C2×C4×Q8—21no—
374C2×C4×D4—21no—
375C2×C4×D4—22no—
376C2×#117—21no—
377C2×#117C2×D4711yescharacteristic
378C22×C4⋊C4—21no—
379C22×C4⋊C4C2×D4711yescharacteristic
380C22×C22⋊C4—942no—
381C22×C42—471no—
382C2×#104—474no—
383C2×#104—944no—
384#418—474no—
385#418—942no—
386C2×#102—941no—
387C2×#102—941no—
388#390—474no—
389#390—942no—
390#343—474no—
391#339—474no—
392C47C2×#188311yescharacteristic, complemented, Sylow
393C25—941no—
394C2×#41—22no—
395C2×#41—22no—
396C2×#41—21no—
397C2×#41—21no—
398C2×#41C4×D4714yes—
399C2×#41D18814yes—
400C2×#41C22⋊D4712yes—
401C2×#41C22×D4712yes—
402C22×Q8C22⋊D4711yescharacteristic
403C22×D4—21no—
404C22×D4—474no—
405C22×D4—472no—
406C22×D4—942no—
407C22×D4—942no—
408C22×D4—942no—
409C22×D4—941no—
410C22×D4—941no—
411C22×D4—941no—
412C22×D4—941no—
413C22×D4—941no—
414C22×D4C22⋊D4711yescharacteristic
415C23×C4—21no—
416C23×C4—22no—
417C23×C4—941no—
418C23×C4C22⋊D4712yes—
419C23×C4C22×D4711yescharacteristic
420AGL(1,ℤ/8)—4716no—
421AGL(1,ℤ/8)—9416no—
422AGL(1,ℤ/8)—948no—
423C2×SD16—948no—
424C2×SD16—944no—
425C2×D8—948no—
426C2×D8—944no—
427C2×M16—474no—
428C2×M16—472no—
429C2×M16—472no—
430C2×M16—942no—
431C2×M16—941no—
432C2×M16—941no—
433C2×M16—942no—
434C2×M16—942no—
435C22×C8—941no—
436C22×C8—941no—
437C4×Q8—24no—
438C4×Q8—24no—
439C4×D4—28no—
440C4×D4—24no—
441C4×D4—24no—
442C4×D4—28no—
443#117—24no—
444#117—21no—
445#117—21no—
446#117—24no—
447#117C22⋊D4712yes—
448#117C22×D4712yes—
449C2×C4⋊C4—22no—
450C2×C4⋊C4—24no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—24no—
456C2×C4⋊C4C22⋊D4712yes—
457C2×C4⋊C4C22⋊D4711yescharacteristic
458C2×C4⋊C4C22⋊D4711yescharacteristic
459C2×C4⋊C4C22×D4712yes—
460C2×C22⋊C4—22no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—948no—
463C2×C22⋊C4—1888no—
464C2×C42—22no—
465C2×C42—21no—
466C2×C42—472no—
467C2×C42—942no—
468C2×C42—942no—
469C2×C42—941no—
470#104—948no—
471#102—944no—
472#102—944no—
473C24—21no—
474C24—944no—
475C24—942no—
476C24—1884no—
477C24—1884no—
478C24—1881no—
479C24—1881no—
480C24—1882no—
481C24C2×C22⋊D4711yescharacteristic
482#41—24no—
483#41—24no—
484#41—24no—
485#41—24no—
486#41—24no—
487#41—22no—
488#41—22no—
489#41(C2×D47)⋊C418yescomplemented
490#41C2×C4×D4714yes—
491#41C2×D18814yes—
492C2×Q8—21no—
493C2×Q8—22no—
494C2×Q8(C2×D47)⋊C414yescomplemented
495C2×Q8C2×C22⋊D4712yes—
496C2×D4—24no—
497C2×D4—22no—
498C2×D4—24no—
499C2×D4—22no—
500C2×D4—21no—
501C2×D4—22no—
502C2×D4—474no—
503C2×D4—944no—
504C2×D4—944no—
505C2×D4—944no—
506C2×D4—944no—
507C2×D4—944no—
508C2×D4—942no—
509C2×D4—942no—
510C2×D4—942no—
511C2×D4—942no—
512C2×D4—942no—
513C2×D4—1881no—
514C2×D4—1881no—
515C2×D4—1882no—
516C2×D4—1882no—
517C2×D4—1882no—
518C2×D4—1882no—
519C2×D4—1882no—
520C2×D4(C2×D47)⋊C414yescomplemented
521C2×D4C2×C22⋊D4712yes—
522C22×C4—21no—
523C22×C4—24no—
524C22×C4—22no—
525C22×C4—24no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4—22no—
529C22×C4—21no—
530C22×C4—28no—
531C22×C4—22no—
532C22×C4—44no—
533C22×C4—84no—
534C22×C4—944no—
535C22×C4—942no—
536C22×C4—1882no—
537C22×C4—1882no—
538C22×C4C2×C4×D4712yes—
539C22×C4C2×D18812yes—
540C22×C4#1062535012yes—
541C22×C4#1062535012yes—
542C22×C4C2×C22⋊D4714yes—
543C22×C4C2×C22⋊D4711yescharacteristic
544C22×C4C2×C22⋊D4711yescharacteristic
545C22×C4C2×C22⋊D4711yescharacteristic
546C22×C4C2×C22⋊D4711yescharacteristic
547C22×C4C2×C22⋊D4711yescharacteristic
548C22×C4C23×D4711yescharacteristic
549SD16—9416no—
550D8—9416no—
551M16—474no—
552M16—944no—
553M16—942no—
554M16—942no—
555M16—942no—
556M16—1882no—
557C2×C8—944no—
558C2×C8—942no—
559C2×C8—942no—
560C2×C8—1882no—
561C4⋊C4—28no—
562C4⋊C4—22no—
563C4⋊C4—21no—
564C4⋊C4—22no—
565C4⋊C4—21no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4C2×C22⋊D4712yes—
569C4⋊C4C2×C22⋊D4712yes—
570C22⋊C4—28no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—18816no—
574C42—28no—
575C42—22no—
576C42—22no—
577C42—942no—
578C42—942no—
579C42—1882no—
580C23—22no—
581C23—22no—
582C23—24no—
583C23—22no—
584C23—42no—
585C23—42no—
586C23—944no—
587C23—3762no—
588C23—3762no—
589C23—3768no—
590C23—3762no—
591C23—3762no—
592C23—1884no—
593C23—1884no—
594C23—18816no—
595C23—1884no—
596C23—1884no—
597C23—1882no—
598C23—1882no—
599C23C4×C22⋊D4712yes—
600C23#1309399311yescharacteristic
601C23#1309399311yescharacteristic
602C23#1309399812yes—
603C23C22×C22⋊D4711yescharacteristic
604Q8—24no—
605Q8—22no—
606Q8C2×(C2×D47)⋊C414yescomplemented
607D4—28no—
608D4—24no—
609D4—24no—
610D4—24no—
611D4—22no—
612D4—944no—
613D4—944no—
614D4—1884no—
615D4—1884no—
616D4—1882no—
617D4—1882no—
618D4C2×(C2×D47)⋊C414yescomplemented
619C2×C4—24no—
620C2×C4—22no—
621C2×C4—28no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—44no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—44no—
631C2×C4—82no—
632C2×C4—88no—
633C2×C4—944no—
634C2×C4—1882no—
635C2×C4—1888no—
636C2×C4—1882no—
637C2×C4C2×(C2×D47)⋊C412yes—
638C2×C4C2×(C2×D47)⋊C412yes—
639C2×C4C4×C22⋊D4712yes—
640C2×C4C4×C22⋊D4712yes—
641C2×C4C4×C22⋊D4712yes—
642C2×C4#1309399311yescharacteristic
643C2×C4#1309399311yescharacteristic
644C2×C4#1309399812yes—
645C2×C4#1309399812yes—
646C2×C4#1309399812yes—
647C2×C4#1309400712yes—
648C2×C4#1309400712yes—
649C2×C4C22×C4×D4711yescharacteristic
650C2×C4C22×C22⋊D4711yescharacteristic
651C2×C4C22×C22⋊D4711yescharacteristic
652C2×C4C22×D18811yescharacteristic
653C2×C4C2×#1062535011yescharacteristic
654C2×C4C2×#1062535011yescharacteristic
655C8—944no—
656C8—1882no—
657C22—21no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—24no—
662C22—24no—
663C22—24no—
664C22—42no—
665C22—42no—
666C22—48no—
667C22—3764no—
668C22—3768no—
669C22—3762no—
670C22—3762no—
671C22—3768no—
672C22—1888no—
673C22—1884no—
674C22#1568900212yes—
675C22#1568900212yes—
676C22#1568929112yes—
677C22#1568929612yes—
678C22C2×C4×C22⋊D4711yescharacteristic
679C22C2×#1309399311yescharacteristic
680C22C2×#1309399811yescharacteristic
681C4—24no—
682C4—44no—
683C4—42no—
684C4—42no—
685C4—1884no—
686C4#1568900212yes—
687C4#1568900212yes—
688C4C22×(C2×D47)⋊C411yescharacteristic
689C4C2×C4×C22⋊D4711yescharacteristic
690C4C2×#1309399811yescharacteristic
691C4C2×#1309400711yescharacteristic
692C2—21no—
693C2—22no—
694C2—21no—
695C2—44no—
696C2—3764no—
697C2#2024376414yesdirect product factor
698C2C2×#1568900211yescharacteristic
699C2C2×#1568929111yescharacteristic
700C2C2×#1568929611yescharacteristic
subgroupG/H
centerC23#13093993
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC2×C47×#520C2
socleC23×C47#120
prime radicalC22×#13094049C2
cosocleC22×C4×C47C24
hypercenterC2×#520D47
hypocenterC47C2×#1883
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#520

Complements

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

NH ≅ G/Ntype
2. C22×#13093951C2semidirect
3. C2×#15689127C2semidirect
4. C2×#15689024C2semidirect
5. #20243764C2direct (N × H)
6. C2×#15688892C2semidirect
7. C2×#15688882C2semidirect
8. C2×C47×#520C2semidirect
12. C2×#13094049C4semidirect
21. C2×#13093951C22semidirect
23. #15689127C22semidirect
27. #15689024C22semidirect
28. #15688892C22semidirect
29. #15688882C22semidirect
34. C47×#520C22semidirect
51. C22×D188C2×C4semidirect
56. #13094049C2×C4semidirect
66. C2×#10625329C2×C4semidirect
138. #41×C47C22⋊C4semidirect
143. C2×Q8×C47C22⋊C4semidirect
151. C2×D4×C47C22⋊C4semidirect
197. C2×D188C22×C4semidirect
224. #10625329C22×C4semidirect
255. Q8×C47C2×C22⋊C4semidirect
261. D4×C47C2×C22⋊C4semidirect
343. C2×#520D47semidirect
354. C2×C47#1883semidirect
372. #520C2×D47semidirect
392. C47C2×#1883semidirect
489. #41(C2×D47)⋊C4semidirect
494. C2×Q8(C2×D47)⋊C4semidirect
520. C2×D4(C2×D47)⋊C4semidirect
606. Q8C2×(C2×D47)⋊C4semidirect
618. D4C2×(C2×D47)⋊C4semidirect
697. C2#20243764direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130940492
C22×#130939512
C2×#156891272
C2×#156890242
#202437642
C2×#156888922
C2×#156888822
C2×C47×#5202
C2×#188347