Finite Group Databasebeta

← #26219182

Subgroups — #26219182

Order 12032.

884 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689184C211yesmaximal, characteristic, complemented
2C2×#15689077C211yesmaximal, characteristic, complemented
3#20245847C211yesmaximal, characteristic
4#20244004C211yesmaximal, characteristic, complemented
5#20243997C211yesmaximal, characteristic, complemented
6#20243955C211yesmaximal, characteristic, complemented
7#20243948C211yesmaximal, characteristic, complemented
8#20243682C211yesmaximal, characteristic
9#20243677C211yesmaximal, characteristic
10#20243572C211yesmaximal, characteristic, complemented
11#20243567C211yesmaximal, characteristic, complemented
12C4×Dic47⋊C8C211yesmaximal, characteristic, complemented
13#20243157C211yesmaximal, characteristic, complemented
14#20243136C211yesmaximal, characteristic, complemented
15C47×#1750C211yesmaximal, characteristic, complemented
16C22×#10625324C2211yescharacteristic
17C22×C8×D47C2211yescharacteristic
18C2×C4×C22⋊D47C2211yescharacteristic
19C2×#13093981C2211yescharacteristic
20#15689184—24no—
21C2×C4⋊(C47⋊C8)C2211yescharacteristic
22C2×C4⋊(C47⋊C8)C2211yescharacteristic
23C2×Dic47⋊C8C2211yescharacteristic
24C2×Dic47⋊C8C2211yescharacteristic
25C2×C22⋊(C47⋊C8)C2211yescharacteristic
26C2×C22⋊(C47⋊C8)C2211yescharacteristic
27C2×(C2×D47)⋊C8C2211yescharacteristic
28C2×(C2×D47)⋊C8C2211yescharacteristic
29#15689077—24no—
30C2×#13093935C2211yescharacteristic
31C2×#13093934C2211yescharacteristic
32C2×C4×C47⋊C8C2211yescharacteristic
33C2×C8×Dic47C2211yescharacteristic
34#15689023C411yescharacteristic
35#15689023C411yescharacteristic
36#15689018C411yescharacteristic
37#15689018C411yescharacteristic
38#15689017C411yescharacteristic
39#15689017C411yescharacteristic
40#15689013C411yescharacteristic
41#15689013C411yescharacteristic
42C4×Dic47⋊C4C2211yescharacteristic
43C4×(C2×D47)⋊C4C2211yescharacteristic
44C4×C22⋊Dic47C2211yescharacteristic
45C42×Dic47C2211yescharacteristic
46#15688877C2211yescharacteristic
47#15688877C2211yescharacteristic
48#15688877C2211yescharacteristic
49#15688877C2211yescharacteristic
50#15688877C2211yescharacteristic
51#15688877C2211yescharacteristic
52#15688877C2211yescharacteristic
53#15688877C2211yescharacteristic
54C2×#117×C47C2211yescharacteristic
55C2×C22⋊C8×C47C2211yescharacteristic
56C2×C22⋊C8×C47C2211yescharacteristic
57C2×#97×C47C2211yescharacteristic
58C2×C4×C8×C47C2211yescharacteristic
59C47×#336C2211yescharacteristic
60C47×#336C2211yescharacteristic
61C22×C22⋊D47C2×C411yescharacteristic
62C22×C4×D47C2311yescharacteristic
63C2×#10625324—22no—
64C2×#10625324—22no—
65C2×#10625324—22no—
66C22×C47⋊C8C2311yescharacteristic
67C22×C47⋊C8C2311yescharacteristic
68C22×C47⋊C8C2311yescharacteristic
69C22×C47⋊C8C2311yescharacteristic
70C2×C8×D47—22no—
71C2×C8×D47—22no—
72C2×C8×D47—22no—
73C4×C22⋊D47—22no—
74C4×C22⋊D47—22no—
75#13093981—22no—
76#13093981—22no—
77C2×Dic47⋊C4C2×C411yescharacteristic
78C2×Dic47⋊C4C2×C411yescharacteristic
79C2×Dic47⋊C4C2×C411yescharacteristic
80C2×Dic47⋊C4C2×C411yescharacteristic
81C2×Dic47⋊C4C2×C411yescharacteristic
82C2×C22⋊Dic47C2×C411yescharacteristic
83C2×C22⋊Dic47C2×C411yescharacteristic
84C2×C22⋊Dic47C2×C411yescharacteristic
85C2×(C2×D47)⋊C4C2×C411yescharacteristic
86C2×(C2×D47)⋊C4C2×C411yescharacteristic
87C2×(C2×D47)⋊C4C2×C411yescharacteristic
88C2×(C2×D47)⋊C4C2×C411yescharacteristic
89C2×(C2×D47)⋊C4C2×C411yescharacteristic
90C2×C4×Dic47C2×C411yescharacteristic
91C2×C4×Dic47C2×C411yescharacteristic
92C2×C4×Dic47C2×C411yescharacteristic
93C2×C4×Dic47C2×C411yescharacteristic
94C2×C4×Dic47C2311yescharacteristic
95C2×C4×Dic47C2311yescharacteristic
96C2×C4×Dic47C2311yescharacteristic
97C4⋊(C47⋊C8)—22no—
98C4⋊(C47⋊C8)—22no—
99Dic47⋊C8—22no—
100Dic47⋊C8—22no—
101C22⋊(C47⋊C8)—22no—
102C22⋊(C47⋊C8)—22no—
103(C2×D47)⋊C8—22no—
104(C2×D47)⋊C8—22no—
105#13093935D414yescomplemented
106#13093934—22no—
107C4×C47⋊C8—22no—
108C8×Dic47—22no—
109C47⋊#95C2×C411yescharacteristic
110C47⋊#95C2×C411yescharacteristic
111C47⋊#95C2×C411yescharacteristic
112C47⋊#95C2×C411yescharacteristic
113C47⋊#95C2×C411yescharacteristic
114C47⋊#95C2×C411yescharacteristic
115C23×C4×C47C2311yescharacteristic
116C22×C8×C47C2311yescharacteristic
117C22×C8×C47C2311yescharacteristic
118C22×C8×C47C2311yescharacteristic
119C22×C8×C47C2311yescharacteristic
120#117×C47—22no—
121#117×C47—22no—
122C2×C4⋊C4×C47C2×C411yescharacteristic
123C2×C4⋊C4×C47C2×C411yescharacteristic
124C2×C22⋊C4×C47C2×C411yescharacteristic
125C2×C22⋊C4×C47C2×C411yescharacteristic
126C2×C42×C47C2311yescharacteristic
127C2×C42×C47C2311yescharacteristic
128C22⋊C8×C47—22no—
129C22⋊C8×C47—22no—
130#97×C47—22no—
131C4×C8×C47—22no—
132C24×C47C22×C411yescharacteristic
133C23×D47C22×C411yescharacteristic
134C22×C4×C47—21no—
135C22×C4×C47—21no—
136C22×C4×C47—21no—
137C22×C4×C47—21no—
138C22×C4×C47—21no—
139C22×C4×C47—21no—
140C22×C4×C47C22×C411yescharacteristic
141C22×C4×C47C22×C411yescharacteristic
142C22×C4×C47C22×C411yescharacteristic
143C22×C4×C47C22×C411yescharacteristic
144C22×C4×C47C22×C411yescharacteristic
145C22×C4×C47C2411yescharacteristic
146C2×C22⋊D47—22no—
147C2×C22⋊D47—22no—
148C2×C22⋊D47—41no—
149C22×Dic47C22×C411yescharacteristic
150C22×Dic47C22×C411yescharacteristic
151C22×Dic47C22×C411yescharacteristic
152C22×Dic47C22×C411yescharacteristic
153C22×Dic47C22×C411yescharacteristic
154C22×Dic47C22×C411yescharacteristic
155C22×Dic47C22×C411yescharacteristic
156C2×C4×D47—21no—
157C2×C4×D47—21no—
158C2×C4×D47—21no—
159C2×C4×D47—21no—
160C2×C4×D47#4112yes—
161C2×C4×D47#4112yes—
162C2×C8×C47—21no—
163C2×C8×C47—21no—
164C2×C8×C47—21no—
165C2×C8×C47—21no—
166C2×C8×C47—21no—
167C2×C8×C47—21no—
168C2×C8×C47—21no—
169C2×C8×C47—21no—
170C2×C8×C47—21no—
171C2×C8×C47—21no—
172C2×C8×C47#4112yes—
173C2×C8×C47#4112yes—
174C4⋊C4×C47—22no—
175C4⋊C4×C47—22no—
176C22⋊C4×C47—22no—
177C22⋊C4×C47—22no—
178C42×C47—21no—
179C42×C47—21no—
180C42×C47C2×D412yes—
181C42×C47#4112yes—
182C22⋊Dic47—22no—
183C22⋊Dic47—22no—
184C22⋊Dic47—41no—
185(C2×D47)⋊C4—22no—
186(C2×D47)⋊C4—22no—
187(C2×D47)⋊C4—22no—
188(C2×D47)⋊C4—22no—
189(C2×D47)⋊C4—41no—
190Dic47⋊C4—22no—
191Dic47⋊C4—22no—
192Dic47⋊C4—22no—
193Dic47⋊C4—22no—
194Dic47⋊C4—41no—
195C4×Dic47—21no—
196C4×Dic47—21no—
197C4×Dic47—21no—
198C4×Dic47—21no—
199C4×Dic47—21no—
200C4×Dic47—21no—
201C4×Dic47—22no—
202C4×Dic47—22no—
203C4×Dic47—41no—
204C4×Dic47—41no—
205C2×C47⋊C8—21no—
206C2×C47⋊C8—21no—
207C2×C47⋊C8—21no—
208C2×C47⋊C8—21no—
209C2×C47⋊C8—21no—
210C2×C47⋊C8—21no—
211C2×C47⋊C8—21no—
212C2×C47⋊C8—21no—
213C2×C47⋊C8—21no—
214C2×C47⋊C8—21no—
215C2×C47⋊C8C2×D412yes—
216C2×C47⋊C8C2×D412yes—
217#10625324—28no—
218C8×D47—28no—
219C23×C47—21no—
220C23×C47—21no—
221C23×C47—21no—
222C23×C47—21no—
223C23×C47—21no—
224C23×C47—21no—
225C23×C47—21no—
226C23×C47C23×C411yescharacteristic
227C22×D47—21no—
228C22×D47—21no—
229C22×D47—21no—
230C22×D47—21no—
231C22×D47—21no—
232C22×D47—21no—
233C22×D47#11712yes—
234C2×C4×C47—21no—
235C2×C4×C47—21no—
236C2×C4×C47—21no—
237C2×C4×C47—21no—
238C2×C4×C47—21no—
239C2×C4×C47—21no—
240C2×C4×C47—21no—
241C2×C4×C47—21no—
242C2×C4×C47—21no—
243C2×C4×C47—21no—
244C2×C4×C47—21no—
245C2×C4×C47—21no—
246C2×C4×C47—21no—
247C2×C4×C47—41no—
248C2×C4×C47—41no—
249C2×C4×C47—41no—
250C2×C4×C47—41no—
251C2×C4×C47C4×D412yes—
252C2×C4×C47C4×D412yes—
253C2×C4×C47C22×D411yescharacteristic
254C2×C4×C47C2×#4111yescharacteristic
255C2×C4×C47C2×#4111yescharacteristic
256C2×C4×C47C2×#4111yescharacteristic
257C2×C4×C47C2×#4111yescharacteristic
258C2×C4×C47C2×#4111yescharacteristic
259C22⋊D47—44no—
260C2×Dic47—21no—
261C2×Dic47—21no—
262C2×Dic47—21no—
263C2×Dic47—21no—
264C2×Dic47—21no—
265C2×Dic47—21no—
266C2×Dic47—21no—
267C2×Dic47—21no—
268C2×Dic47—21no—
269C2×Dic47—21no—
270C2×Dic47—21no—
271C2×Dic47—21no—
272C2×Dic47—21no—
273C2×Dic47—21no—
274C2×Dic47—21no—
275C2×Dic47—21no—
276C2×Dic47—21no—
277C2×Dic47—21no—
278C2×Dic47#11712yes—
279C2×Dic47#13112yes—
280C2×Dic47#13112yes—
281C4×D47—22no—
282C4×D47—22no—
283C4×D47—22no—
284C4×D47—22no—
285C8×C47—22no—
286C8×C47—22no—
287C8×C47—41no—
288C8×C47—41no—
289C47⋊C8—22no—
290C47⋊C8—22no—
291C47⋊C8—41no—
292C47⋊C8—41no—
293#21111—471nomaximal, Sylow
294C22×C47—41no—
295C22×C47—41no—
296C22×C47—41no—
297C22×C47—41no—
298C22×C47—41no—
299C22×C47—41no—
300C22×C47—41no—
301C22×C47C2×#11711yescharacteristic
302C22×C47C2×C4×D411yescharacteristic
303C22×C47C4×#4111yescharacteristic
304C22×C47C2×#13111yescharacteristic
305C22×C47C2×#13111yescharacteristic
306C22×C47#56811yescharacteristic
307C22×C47#56811yescharacteristic
308C2×D47—22no—
309C2×D47—22no—
310C2×D47—22no—
311C2×D47—41no—
312C2×D47—41no—
313C2×D47—41no—
314C2×D47—41no—
315C4×C47—22no—
316C4×C47—22no—
317C4×C47—41no—
318C4×C47—41no—
319C4×C47—41no—
320C4×C47#52511yescharacteristic
321C4×C47#52511yescharacteristic
322C4×C47#52911yescharacteristic
323C4×C47#52911yescharacteristic
324Dic47—22no—
325Dic47—22no—
326Dic47—22no—
327Dic47—41no—
328Dic47—41no—
329Dic47—41no—
330Dic47—41no—
331C2×#433—471no—
332C2×#405—471no—
333#2293—471no—
334#1924—471no—
335#1923—471no—
336#1917—471no—
337#1916—471no—
338#1870—471no—
339#1869—471no—
340#1851—471no—
341#1850—471no—
342C4×C4⋊C8—471no—
343#1750—471no—
344#1750D4711yescharacteristic, complemented
345#1745—471no—
346C2×C47—81no—
347C2×C47#229011yescharacteristic
348C2×C47#292411yescharacteristic
349C2×C47#292511yescharacteristic
350C2×C47#293511yescharacteristic
351C2×C47#293511yescharacteristic
352C2×C47#296611yescharacteristic
353C2×C47#296711yescharacteristic
354D47—42no—
355C22×M16—471no—
356C23×C8—471no—
357C2×C4×D4—471no—
358C2×#117—471no—
359C2×#117C2×D4711yescharacteristic
360#433—944no—
361C2×C4⋊C8—471no—
362C2×C4⋊C8—471no—
363C2×C4⋊C8—471no—
364C2×C4⋊C8—471no—
365C2×C22⋊C8—471no—
366C2×C22⋊C8—471no—
367C2×C22⋊C8—471no—
368C2×C22⋊C8—471no—
369C2×C22⋊C8C2×D4711yescharacteristic
370C2×C22⋊C8C2×D4711yescharacteristic
371#405—944no—
372C2×#97—471no—
373C2×#97—471no—
374C2×#97C2×D4711yescharacteristic
375C2×C4×C8—471no—
376C2×C4×C8—471no—
377C2×C4×C8C2×D4711yescharacteristic
378#390—471no—
379#390—471no—
380#389—471no—
381#389—471no—
382#388—471no—
383#388—471no—
384#388—471no—
385#388—471no—
386C4×C4⋊C4—471no—
387C4×C22⋊C4—471no—
388C4×C22⋊C4—471no—
389C43—471no—
390#336—471no—
391#336—471no—
392#336—471no—
393#336—471no—
394#336—471no—
395#336—471no—
396#336—471no—
397#336—471no—
398#336C2×D4711yescharacteristic
399#336C2×D4711yescharacteristic
400C47#2111111yescharacteristic, complemented, Sylow
401C22×D4—471no—
402C23×C4—471no—
403C23×C4C22×D4711yescharacteristic
404C2×M16—942no—
405C2×M16—942no—
406C2×M16—942no—
407C22×C8—471no—
408C22×C8—471no—
409C22×C8—471no—
410C22×C8—471no—
411C22×C8—942no—
412C22×C8—942no—
413C22×C8—942no—
414C22×C8C22×D4711yescharacteristic
415C22×C8C22×D4711yescharacteristic
416C22×C8C22×D4711yescharacteristic
417C22×C8C22×D4711yescharacteristic
418C4×D4—942no—
419C4×D4—942no—
420#117—22no—
421#117—22no—
422#117—942no—
423#117—942no—
424C2×C4⋊C4—471no—
425C2×C4⋊C4—471no—
426C2×C4⋊C4—471no—
427C2×C4⋊C4—471no—
428C2×C4⋊C4—471no—
429C2×C4⋊C4C4×D4711yescharacteristic
430C2×C4⋊C4C4×D4711yescharacteristic
431C2×C22⋊C4—471no—
432C2×C22⋊C4—471no—
433C2×C22⋊C4—471no—
434C2×C22⋊C4—471no—
435C2×C22⋊C4—471no—
436C2×C22⋊C4—471no—
437C2×C22⋊C4—471no—
438C2×C22⋊C4—471no—
439C2×C22⋊C4C4×D4711yescharacteristic
440C2×C22⋊C4C4×D4711yescharacteristic
441C2×C42—471no—
442C2×C42—471no—
443C2×C42—471no—
444C2×C42—471no—
445C2×C42—471no—
446C2×C42—471no—
447C2×C42—471no—
448C2×C42C22×D4711yescharacteristic
449C2×C42C22×D4711yescharacteristic
450C4⋊C8—942no—
451C4⋊C8—942no—
452C4⋊C8—942no—
453C4⋊C8—942no—
454C22⋊C8—22no—
455C22⋊C8—22no—
456C22⋊C8—942no—
457C22⋊C8—942no—
458C22⋊C8—942no—
459C22⋊C8—942no—
460#97—22no—
461#97—474no—
462#97—942no—
463C4×C8—22no—
464C4×C8—942no—
465C4×C8—942no—
466#95—471no—
467#95—471no—
468#95—471no—
469#95—471no—
470#95—471no—
471#95—471no—
472C24—471no—
473C24C2×C4×D4711yescharacteristic
474C2×D4—942no—
475C2×D4—942no—
476C2×D4—1881no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—471no—
484C22×C4—471no—
485C22×C4—471no—
486C22×C4—472no—
487C22×C4—472no—
488C22×C4—471no—
489C22×C4—471no—
490C22×C4—471no—
491C22×C4—471no—
492C22×C4—941no—
493C22×C4—941no—
494C22×C4—941no—
495C22×C4—941no—
496C22×C4C2×C4×D4711yescharacteristic
497C22×C4C2×C4×D4711yescharacteristic
498C22×C4C2×C4×D4711yescharacteristic
499C22×C4C2×C4×D4711yescharacteristic
500C22×C4C2×C4×D4711yescharacteristic
501C22×C4C23×D4711yescharacteristic
502M16—948no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—472no—
514C2×C8—472no—
515C2×C8—948no—
516C2×C8—941no—
517C2×C8—941no—
518C2×C8—941no—
519C2×C8—941no—
520C2×C8—941no—
521C2×C8—941no—
522C2×C8—941no—
523C2×C8—941no—
524C2×C8—941no—
525C2×C8—941no—
526C2×C8#1062535012yes—
527C2×C8#1062535012yes—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—942no—
531C4⋊C4—942no—
532C4⋊C4—942no—
533C4⋊C4—942no—
534C4⋊C4—1881no—
535C22⋊C4—22no—
536C22⋊C4—22no—
537C22⋊C4—942no—
538C22⋊C4—942no—
539C22⋊C4—942no—
540C22⋊C4—942no—
541C22⋊C4—942no—
542C22⋊C4—942no—
543C22⋊C4—1881no—
544C22⋊C4—1881no—
545C42—21no—
546C42—21no—
547C42—942no—
548C42—942no—
549C42—941no—
550C42—941no—
551C42—941no—
552C42—941no—
553C42—941no—
554C42—941no—
555C42—1881no—
556C42—1881no—
557C42D4×D4712yes—
558C42#1062535212yes—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—472no—
567C23—941no—
568C23—941no—
569C23—941no—
570C23—941no—
571C23—941no—
572C23—941no—
573C23C22×C4×D4711yescharacteristic
574D4—1884no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—472no—
593C2×C4—472no—
594C2×C4—472no—
595C2×C4—941no—
596C2×C4—941no—
597C2×C4—941no—
598C2×C4—941no—
599C2×C4—941no—
600C2×C4—941no—
601C2×C4—942no—
602C2×C4—942no—
603C2×C4—942no—
604C2×C4—942no—
605C2×C4—941no—
606C2×C4—941no—
607C2×C4—941no—
608C2×C4—941no—
609C2×C4—941no—
610C2×C4—941no—
611C2×C4—941no—
612C2×C4—941no—
613C2×C4—941no—
614C2×C4—941no—
615C2×C4—941no—
616C2×C4—941no—
617C2×C4(C22⋊D47)⋊C412yes—
618C2×C4(C22⋊D47)⋊C412yes—
619C2×C4C2×D4×D4711yescharacteristic
620C2×C4#41×D4711yescharacteristic
621C2×C4#41×D4711yescharacteristic
622C2×C4C2×#1062535211yescharacteristic
623C2×C4C2×#1062535011yescharacteristic
624C2×C4C2×#1062535011yescharacteristic
625C8—22no—
626C8—22no—
627C8—41no—
628C8—41no—
629C8—942no—
630C8—942no—
631C8—1881no—
632C8—1881no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—942no—
641C22—942no—
642C22—942no—
643C22—1881no—
644C22—1881no—
645C22—1881no—
646C22—1881no—
647C22#117×D4711yescharacteristic
648C22C2×(C22⋊D47)⋊C411yescharacteristic
649C22C4×#1062535011yescharacteristic
650C22#131×D4711yescharacteristic
651C22#131×D4711yescharacteristic
652C22#1568988811yescharacteristic
653C22#1568988811yescharacteristic
654C4—22no—
655C4—22no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—942no—
660C4—942no—
661C4—942no—
662C4—1881no—
663C4—1881no—
664C4—1881no—
665C4—1881no—
666C4#1568963211yescharacteristic
667C4#1568963211yescharacteristic
668C4#1568965511yescharacteristic
669C4#1568965511yescharacteristic
670C2—81no—
671C2—1882no—
672C2#2024583411yescharacteristic
673C2#2025204411yescharacteristic
674C2#2025205111yescharacteristic
675C2#2025212811yescharacteristic
676C2#2025212811yescharacteristic
677C2#2025235911yescharacteristic
678C2#2025236911yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D47
commutator, socleC23×C47C23×C4
FittingC47×#1750C2
prime radicalC22×C22⋊D47C2×C4
cosocleC22×C4×C47C24
hypercenter#1750D47
hypocenterC47#21111
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #1750

Complements

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

NH ≅ G/Ntype
1. C2×#15689184C2semidirect
2. C2×#15689077C2semidirect
4. #20244004C2semidirect
5. #20243997C2semidirect
6. #20243955C2semidirect
7. #20243948C2semidirect
10. #20243572C2semidirect
11. #20243567C2semidirect
12. C4×Dic47⋊C8C2semidirect
13. #20243157C2semidirect
14. #20243136C2semidirect
15. C47×#1750C2semidirect
105. #13093935D4semidirect
344. #1750D47semidirect
400. C47#21111semidirect

Maximal subgroups

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

subgroupindex
C2×#156891842
C2×#156890772
#202458472
#202440042
#202439972
#202439552
#202439482
#202436822
#202436772
#202435722
#202435672
C4×Dic47⋊C82
#202431572
#202431362
C47×#17502
#2111147