Finite Group Databasebeta

← D47×#1928 #26218660

Subgroups — D47×#1928 #26218660

Order 12032.

1238 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
1C2×#107×D47C211yesmaximal, characteristic
2C2×#103×D47C211yesmaximal, characteristic
3C2×#103×D47C211yesmaximal, characteristic
4#391×D47C211yesmaximal, characteristic
5C4×C4⋊C4×D47C211yesmaximal, characteristic
6#20244032C211yesmaximal, characteristic, complemented
7#20244031C211yesmaximal, characteristic, complemented
8#20244030C211yesmaximal, characteristic, complemented
9#20244029C211yesmaximal, characteristic, complemented
10#20244028C211yesmaximal, characteristic, complemented
11#20244027C211yesmaximal, characteristic, complemented
12#20244026C211yesmaximal, characteristic, complemented
13#340×D47C211yesmaximal, characteristic
14#336×D47C211yesmaximal, characteristic
15C47×#1928C211yesmaximal, characteristic, complemented
16C22×Q8×D47C2211yescharacteristic
17C22×C8×D47C2211yescharacteristic
18C22×C8×D47C2211yescharacteristic
19C2×C4⋊C4×D47C2211yescharacteristic
20C2×C4⋊C4×D47C2211yescharacteristic
21C2×C4⋊C4×D47C2211yescharacteristic
22C2×C42×D47—21no—
23C2×C42×D47C2211yescharacteristic
24C2×#13093958C2211yescharacteristic
25C2×#13093957C2211yescharacteristic
26C2×#13093957C2211yescharacteristic
27#107×D47—24no—
28C2×#13093949C2211yescharacteristic
29C2×#13093949C2211yescharacteristic
30C2×#13093948C2211yescharacteristic
31C2×#13093948C2211yescharacteristic
32C2×#13093947C2211yescharacteristic
33C2×#13093947C2211yescharacteristic
34#103×D47—24no—
35#103×D47C418yescomplemented
36#15689030C2211yescharacteristic
37#15689029C2211yescharacteristic
38#15689028C2211yescharacteristic
39#15689027—21no—
40#15689027—21no—
41C4⋊C4×Dic47C2211yescharacteristic
42C4⋊C4×Dic47C2211yescharacteristic
43C4×Dic47⋊C4—21no—
44C4×C4⋊Dic47C2211yescharacteristic
45#15688974—21no—
46#95×D47—21no—
47#95×D47—21no—
48#95×D47—21no—
49#15688886C2211yescharacteristic
50#15688885C2211yescharacteristic
51#15688885C2211yescharacteristic
52#15688878C2211yescharacteristic
53#15688877C2211yescharacteristic
54#15688877C2211yescharacteristic
55C2×#107×C47C2211yescharacteristic
56C2×#103×C47C2211yescharacteristic
57C2×#103×C47C2211yescharacteristic
58C47×#391C2211yescharacteristic
59C4×C4⋊C4×C47C2211yescharacteristic
60C47×#340C2211yescharacteristic
61C47×#336C2211yescharacteristic
62C22×Dic94—21no—
63C22×Dic94C2311yescharacteristic
64C2×Q8×D47—22no—
65C2×Q8×D47—22no—
66C2×Q8×D47—22no—
67C2×Q8×D47—22no—
68C2×Q8×D47—22no—
69C2×Q8×D47C2×C414yes—
70C22×C4×D47—21no—
71C22×C4×D47—21no—
72C22×C4×D47—21no—
73C22×C4×D47—21no—
74C22×C4×D47D411yescharacteristic
75C22×C4×D47D411yescharacteristic
76C22×C4×D47C2311yescharacteristic
77C22×C47⋊C8C2311yescharacteristic
78C22×C47⋊C8C2311yescharacteristic
79C2×C8×D47—22no—
80C2×C8×D47—22no—
81C2×C8×D47—22no—
82C2×C8×D47—22no—
83C2×C8×D47—22no—
84C2×C8×D47C2×C414yes—
85C2×C4⋊Dic47C2311yescharacteristic
86C2×C4⋊Dic47C2311yescharacteristic
87C2×C4⋊Dic47C2311yescharacteristic
88C2×Dic47⋊C4—21no—
89C2×Dic47⋊C4—21no—
90C2×Dic47⋊C4—21no—
91C4⋊C4×D47—22no—
92C4⋊C4×D47—22no—
93C4⋊C4×D47—22no—
94C4⋊C4×D47—22no—
95C4⋊C4×D47C2×C414yes—
96C4⋊C4×D47D414yes—
97C2×C4×Dic47—21no—
98C2×C4×Dic47—21no—
99C2×C4×Dic47—21no—
100C2×C4×Dic47D411yescharacteristic
101C2×C4×Dic47D411yescharacteristic
102C2×C4×Dic47C2311yescharacteristic
103C42×D47—22no—
104C42×D47—22no—
105C42×D47—44no—
106#13093958—22no—
107#13093957—22no—
108#13093957—22no—
109#13093949—22no—
110#13093949C2×C414yescomplemented
111#13093948—22no—
112#13093948C2×C414yescomplemented
113#13093947—22no—
114#13093947C2×C414yescomplemented
115C47⋊#95—21no—
116C47⋊#95—21no—
117C47⋊#95—21no—
118C47⋊#95—21no—
119C47⋊#95—21no—
120C47⋊#95—21no—
121C47⋊#95—21no—
122C47⋊#95—21no—
123C47⋊#95—21no—
124C22×Q8×C47C2311yescharacteristic
125C22×C8×C47C2311yescharacteristic
126C22×C8×C47C2311yescharacteristic
127C2×C4⋊C4×C47C2311yescharacteristic
128C2×C4⋊C4×C47C2311yescharacteristic
129C2×C4⋊C4×C47C2311yescharacteristic
130C2×C42×C47—21no—
131C2×C42×C47C2311yescharacteristic
132#107×C47—22no—
133#103×C47—22no—
134#103×C47C2×C414yescomplemented
135#95×C47—21no—
136#95×C47—21no—
137#95×C47—21no—
138C23×D47C2×D411yescharacteristic
139C2×Q8×C47—21no—
140C2×Q8×C47—21no—
141C2×Q8×C47—21no—
142C2×Q8×C47—21no—
143C2×Q8×C47—21no—
144C2×Q8×C47C22×C412yes—
145C22×C4×C47—21no—
146C22×C4×C47—21no—
147C22×C4×C47—21no—
148C22×C4×C47—21no—
149C22×C4×C47C2×D411yescharacteristic
150C22×C4×C47C2×D411yescharacteristic
151C22×C4×C47C2411yescharacteristic
152C22×Dic47—21no—
153C22×Dic47—21no—
154C22×Dic47—21no—
155C22×Dic47—21no—
156C22×Dic47C2×D411yescharacteristic
157C22×Dic47C2×D411yescharacteristic
158C22×Dic47C2×D411yescharacteristic
159Q8×D47—28no—
160Q8×D47—28no—
161Q8×D47—44no—
162Q8×D47—44no—
163C2×C4×D47—22no—
164C2×C4×D47—22no—
165C2×C4×D47—24no—
166C2×C4×D47—24no—
167C2×C4×D47—24no—
168C2×C4×D47—22no—
169C2×C4×D47—22no—
170C2×C4×D47—22no—
171C2×C4×D47—42no—
172C2×C4×D47—42no—
173C2×C4×D47—42no—
174C2×C4×D47—42no—
175C2×C4×D47—42no—
176C2×C4×D47—42no—
177C2×C4×D47—42no—
178C2×C4×D47—42no—
179C2×C4×D47—42no—
180C2×C4×D47Q1614yes—
181C2×C4×D47C22×C412yes—
182C2×C4×D47C2×D412yes—
183C2×C4×D47#4112yes—
184C2×C4×D47#4112yes—
185C2×C4×D47#4112yes—
186C2×C4×D47#4112yes—
187C2×Dic94—21no—
188C2×Dic94—21no—
189C2×Dic94—21no—
190C2×Dic94—21no—
191C2×Dic94—21no—
192C2×Dic94—24no—
193C2×Dic94—42no—
194C2×Dic94—42no—
195C2×Dic94C22×C412yes—
196C2×C8×C47—21no—
197C2×C8×C47—21no—
198C2×C8×C47—21no—
199C2×C8×C47—21no—
200C2×C8×C47—21no—
201C2×C8×C47C22×C412yes—
202C4⋊C4×C47—21no—
203C4⋊C4×C47—21no—
204C4⋊C4×C47—21no—
205C4⋊C4×C47—21no—
206C4⋊C4×C47C22×C412yes—
207C4⋊C4×C47C2×D412yes—
208C42×C47—21no—
209C42×C47—21no—
210C42×C47—42no—
211C4⋊Dic47—21no—
212C4⋊Dic47—21no—
213C4⋊Dic47—21no—
214C4⋊Dic47—21no—
215C4⋊Dic47C22×C412yes—
216C4⋊Dic47C2×D412yes—
217Dic47⋊C4—24no—
218Dic47⋊C4—24no—
219Dic47⋊C4—42no—
220C4×Dic47—21no—
221C4×Dic47—21no—
222C4×Dic47—22no—
223C4×Dic47—22no—
224C4×Dic47—42no—
225C4×Dic47—42no—
226C4×Dic47—42no—
227C2×C47⋊C8—21no—
228C2×C47⋊C8—21no—
229C2×C47⋊C8—21no—
230C2×C47⋊C8—21no—
231C2×C47⋊C8—21no—
232C2×C47⋊C8C22×C412yes—
233C8×D47—28no—
234C8×D47—44no—
235C23×C47C22×D411yescharacteristic
236C22×D47C4×D412yes—
237C22×D47#12112yes—
238C22×D47#12312yes—
239C22×D47C2×Q1612yes—
240C22×D47#13512yes—
241C22×D47AGL(1,ℤ/8)12yes—
242C22×D47#13712yes—
243Q8×C47—22no—
244Q8×C47—22no—
245Q8×C47—41no—
246Q8×C47—41no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—22no—
250C2×C4×C47—22no—
251C2×C4×C47—22no—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—21no—
255C2×C4×C47—41no—
256C2×C4×C47—41no—
257C2×C4×C47—41no—
258C2×C4×C47—41no—
259C2×C4×C47—41no—
260C2×C4×C47—41no—
261C2×C4×C47—41no—
262C2×C4×C47—41no—
263C2×C4×C47—41no—
264C2×C4×C47C2×Q1612yes—
265C2×C4×C47C23×C411yescharacteristic
266C2×C4×C47C22×D411yescharacteristic
267C2×C4×C47C2×#4111yescharacteristic
268C2×C4×C47C2×#4111yescharacteristic
269C2×C4×C47C2×#4111yescharacteristic
270C2×C4×C47C2×#4111yescharacteristic
271C2×Dic47—21no—
272C2×Dic47—21no—
273C2×Dic47—22no—
274C2×Dic47—22no—
275C2×Dic47—22no—
276C2×Dic47—21no—
277C2×Dic47—21no—
278C2×Dic47—21no—
279C2×Dic47—41no—
280C2×Dic47—41no—
281C2×Dic47—41no—
282C2×Dic47—41no—
283C2×Dic47—41no—
284C2×Dic47—41no—
285C2×Dic47—41no—
286C2×Dic47—41no—
287C2×Dic47—41no—
288C2×Dic47C4×D412yes—
289C2×Dic47#12112yes—
290C2×Dic47#12312yes—
291C2×Dic47C2×Q1612yes—
292C4×D47—28no—
293C4×D47—48no—
294C4×D47—48no—
295C4×D47—48no—
296C4×D47—44no—
297C4×D47—84no—
298C4×D47#11714yes—
299C4×D47C4×D414yes—
300C4×D47#12414yes—
301C4×D47#12614yes—
302Dic94—22no—
303Dic94—22no—
304Dic94—41no—
305Dic94—41no—
306Dic94—48no—
307C8×C47—22no—
308C8×C47—41no—
309C47⋊C8—22no—
310C47⋊C8—41no—
311C2×#1928—471nomaximal, Sylow
312C22×C47C2×C4×D411yescharacteristic
313C22×C47C2×#12111yescharacteristic
314C22×C47C2×#12311yescharacteristic
315C22×C47C22×Q1611yescharacteristic
316C22×C47C2×#13511yescharacteristic
317C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
318C22×C47C2×#13711yescharacteristic
319C2×D47#38814yes—
320C2×D47C4×Q1614yes—
321C2×D47#44014yes—
322C2×D47#46214yes—
323C2×D47#46314yes—
324C2×D47#48414yes—
325C2×D47#48514yes—
326C4×C47—22no—
327C4×C47—41no—
328C4×C47—42no—
329C4×C47—42no—
330C4×C47—42no—
331C4×C47—81no—
332C4×C47C2×#11711yescharacteristic
333C4×C47C2×C4×D411yescharacteristic
334C4×C47C2×#12411yescharacteristic
335C4×C47C2×#12611yescharacteristic
336Dic47—22no—
337Dic47—41no—
338Dic47—42no—
339Dic47—42no—
340Dic47—42no—
341Dic47—81no—
342Dic47#38814yes—
343C22×#107—471no—
344C22×#103—471no—
345C22×#103—471no—
346C2×#391—471no—
347C2×C4×C4⋊C4—471no—
348#1928—471no—
349#1928—471no—
350#1928—471no—
351#1928—471no—
352#1928—471no—
353#1928—471no—
354#1928—471no—
355#1928D4711yescharacteristic, direct product factor
356C2×#340—471no—
357C2×#336—471no—
358C2×C47C2×#38811yescharacteristic
359C2×C47C2×C4×Q1611yescharacteristic
360C2×C47C2×#44011yescharacteristic
361C2×C47C2×#46311yescharacteristic
362C2×C47C2×#46211yescharacteristic
363C2×C47C2×#48511yescharacteristic
364C2×C47C2×#48411yescharacteristic
365D47#192818yesdirect product factor
366C23×Q8—471no—
367C23×C8—471no—
368C23×C8—471no—
369C22×C4⋊C4—471no—
370C22×C4⋊C4—471no—
371C22×C4⋊C4—471no—
372C22×C42—471no—
373C22×C42—941no—
374C2×#107—471no—
375C2×#107—471no—
376C2×#107—471no—
377C2×#107—944no—
378C2×#107C2×D4711yescharacteristic
379C2×#103—471no—
380C2×#103—471no—
381C2×#103—471no—
382C2×#103—478no—
383C2×#103—471no—
384C2×#103—471no—
385C2×#103—471no—
386C2×#103—944no—
387C2×#103C2×D4711yescharacteristic
388C2×#103C2×D4711yescharacteristic
389#391—471no—
390#391—471no—
391#391—471no—
392#391—941no—
393#391—941no—
394#391C2×D4711yescharacteristic
395C4×C4⋊C4—471no—
396C4×C4⋊C4—471no—
397C4×C4⋊C4—471no—
398C4×C4⋊C4—941no—
399C4×C4⋊C4—941no—
400C4×C4⋊C4C2×D4711yescharacteristic
401C2×#95—941no—
402C2×#95—941no—
403C2×#95—941no—
404#340—471no—
405#340—471no—
406#340—471no—
407#340C2×D4711yescharacteristic
408#336—471no—
409#336—471no—
410#336—471no—
411#336C2×D4711yescharacteristic
412C47C2×#192811yescharacteristic, complemented, Sylow
413C22×Q8—474no—
414C22×Q8—471no—
415C22×Q8—941no—
416C22×Q8—942no—
417C22×Q8—942no—
418C22×Q8—942no—
419C22×Q8—942no—
420C22×Q8—942no—
421C22×Q8C22×D4711yescharacteristic
422C23×C4—471no—
423C23×C4—471no—
424C23×C4—471no—
425C23×C4—941no—
426C23×C4—941no—
427C23×C4—941no—
428C23×C4—941no—
429C22×C8—471no—
430C22×C8—474no—
431C22×C8—471no—
432C22×C8—942no—
433C22×C8—942no—
434C22×C8—942no—
435C22×C8—942no—
436C22×C8—942no—
437C22×C8C22×D4711yescharacteristic
438C22×C8C22×D4711yescharacteristic
439C2×C4⋊C4—471no—
440C2×C4⋊C4—471no—
441C2×C4⋊C4—474no—
442C2×C4⋊C4—474no—
443C2×C4⋊C4—471no—
444C2×C4⋊C4—942no—
445C2×C4⋊C4—942no—
446C2×C4⋊C4—942no—
447C2×C4⋊C4—942no—
448C2×C4⋊C4—941no—
449C2×C4⋊C4—941no—
450C2×C4⋊C4—941no—
451C2×C4⋊C4C22×D4711yescharacteristic
452C2×C4⋊C4C22×D4711yescharacteristic
453C2×C4⋊C4C22×D4711yescharacteristic
454C2×C42—21no—
455C2×C42—471no—
456C2×C42—471no—
457C2×C42—471no—
458C2×C42—942no—
459C2×C42—942no—
460C2×C42—941no—
461C2×C42—941no—
462C2×C42—941no—
463C2×C42—1884no—
464C2×C42C22×D4711yescharacteristic
465#107—22no—
466#107—942no—
467#107—942no—
468#107—942no—
469#103—22no—
470#103—474no—
471#103—474no—
472#103—474no—
473#103—942no—
474#103—942no—
475#103—942no—
476#103C4×D4714yescomplemented
477#95—21no—
478#95—21no—
479#95—21no—
480#95—941no—
481#95—941no—
482#95—941no—
483#95—941no—
484#95—941no—
485#95—941no—
486#95—941no—
487#95—941no—
488#95—941no—
489C24—471no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—472no—
496C2×Q8—944no—
497C2×Q8—948no—
498C2×Q8—948no—
499C2×Q8—941no—
500C2×Q8—941no—
501C2×Q8—941no—
502C2×Q8—941no—
503C2×Q8—941no—
504C2×Q8—1882no—
505C2×Q8—1882no—
506C2×Q8—1884no—
507C2×Q8—1884no—
508C2×Q8C2×C4×D4712yes—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—471no—
514C22×C4—472no—
515C22×C4—472no—
516C22×C4—472no—
517C22×C4—472no—
518C22×C4—472no—
519C22×C4—472no—
520C22×C4—471no—
521C22×C4—474no—
522C22×C4—471no—
523C22×C4—942no—
524C22×C4—942no—
525C22×C4—942no—
526C22×C4—944no—
527C22×C4—944no—
528C22×C4—942no—
529C22×C4—942no—
530C22×C4—944no—
531C22×C4—941no—
532C22×C4—941no—
533C22×C4—941no—
534C22×C4—941no—
535C22×C4—1882no—
536C22×C4—1882no—
537C22×C4—1882no—
538C22×C4—1882no—
539C22×C4—1882no—
540C22×C4—1882no—
541C22×C4—1882no—
542C22×C4—1882no—
543C22×C4—1882no—
544C22×C4D4×D4711yescharacteristic
545C22×C4D4×D4711yescharacteristic
546C22×C4C23×D4711yescharacteristic
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—472no—
553C2×C8—948no—
554C2×C8—941no—
555C2×C8—941no—
556C2×C8—941no—
557C2×C8—941no—
558C2×C8—941no—
559C2×C8—1884no—
560C2×C8C2×C4×D4712yes—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—472no—
566C4⋊C4—472no—
567C4⋊C4—944no—
568C4⋊C4—944no—
569C4⋊C4—941no—
570C4⋊C4—941no—
571C4⋊C4—941no—
572C4⋊C4—941no—
573C4⋊C4—1882no—
574C4⋊C4C2×C4×D4712yes—
575C4⋊C4D4×D4712yes—
576C42—21no—
577C42—21no—
578C42—42no—
579C42—942no—
580C42—942no—
581C42—941no—
582C42—941no—
583C42—1882no—
584C42—1882no—
585C42—1882no—
586C23—472no—
587C23—472no—
588C23—472no—
589C23—472no—
590C23—472no—
591C23—472no—
592C23—472no—
593C23C2×D4×D4711yescharacteristic
594Q8—22no—
595Q8—22no—
596Q8—41no—
597Q8—41no—
598Q8—942no—
599Q8—942no—
600Q8—1888no—
601Q8—1881no—
602Q8—1881no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—472no—
621C2×C4—472no—
622C2×C4—472no—
623C2×C4—474no—
624C2×C4—474no—
625C2×C4—474no—
626C2×C4—474no—
627C2×C4—472no—
628C2×C4—948no—
629C2×C4—941no—
630C2×C4—941no—
631C2×C4—942no—
632C2×C4—942no—
633C2×C4—942no—
634C2×C4—941no—
635C2×C4—941no—
636C2×C4—941no—
637C2×C4—3764no—
638C2×C4—1884no—
639C2×C4—1888no—
640C2×C4—1888no—
641C2×C4—1888no—
642C2×C4—1881no—
643C2×C4—1881no—
644C2×C4—1881no—
645C2×C4—1881no—
646C2×C4—1881no—
647C2×C4—1881no—
648C2×C4—1881no—
649C2×C4—1881no—
650C2×C4—1881no—
651C2×C4Q16×D4712yes—
652C2×C4C22×C4×D4711yescharacteristic
653C2×C4C2×D4×D4711yescharacteristic
654C2×C4#41×D4711yescharacteristic
655C2×C4#41×D4711yescharacteristic
656C2×C4#41×D4711yescharacteristic
657C2×C4#41×D4711yescharacteristic
658C8—22no—
659C8—41no—
660C8—942no—
661C8—1881no—
662C22—474no—
663C22—474no—
664C22—474no—
665C22—474no—
666C22—474no—
667C22—474no—
668C22—474no—
669C22C4×D4×D4711yescharacteristic
670C22#121×D4711yescharacteristic
671C22#123×D4711yescharacteristic
672C22C2×Q16×D4711yescharacteristic
673C22#135×D4711yescharacteristic
674C22AGL(1,ℤ/8)×D4711yescharacteristic
675C22#137×D4711yescharacteristic
676C4—22no—
677C4—42no—
678C4—42no—
679C4—41no—
680C4—42no—
681C4—81no—
682C4—474no—
683C4—942no—
684C4—3761no—
685C4—1882no—
686C4—1882no—
687C4—1881no—
688C4—1882no—
689C4#117×D4711yescharacteristic
690C4C4×D4×D4711yescharacteristic
691C4#124×D4711yescharacteristic
692C4#126×D4711yescharacteristic
693C2—478no—
694C2#388×D4711yescharacteristic
695C2C4×Q16×D4711yescharacteristic
696C2#440×D4711yescharacteristic
697C2#463×D4711yescharacteristic
698C2#462×D4711yescharacteristic
699C2#485×D4711yescharacteristic
700C2#484×D4711yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#1928C2
socleC23×C47C22×D4
prime radicalC23×D47C2×D4
cosocleC22×C4×C47C24
hypercenter#1928D47
hypocenterC47C2×#1928
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1928

Complements

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

NH ≅ G/Ntype
6. #20244032C2semidirect
7. #20244031C2semidirect
8. #20244030C2semidirect
9. #20244029C2semidirect
10. #20244028C2semidirect
11. #20244027C2semidirect
12. #20244026C2semidirect
15. C47×#1928C2semidirect
35. #103×D47C4semidirect
110. #13093949C2×C4semidirect
112. #13093948C2×C4semidirect
114. #13093947C2×C4semidirect
134. #103×C47C2×C4semidirect
355. #1928D47direct (N × H)
365. D47#1928direct (N × H)
412. C47C2×#1928semidirect
476. #103C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#107×D472
C2×#103×D472
#391×D472
C4×C4⋊C4×D472
#202440322
#202440312
#202440302
#202440292
#202440282
#202440272
#202440262
#340×D472
#336×D472
C47×#19282
C2×#192847