Finite Group Databasebeta

← #26220404

Subgroups — #26220404

Order 12032.

858 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689183C211yesmaximal, characteristic, complemented
2C2×#15689181C211yesmaximal, characteristic, complemented
3#20245851C211yesmaximal, characteristic
4#20244180C211yesmaximal, characteristic
5#20244180C211yesmaximal, characteristic
6#20244105C211yesmaximal, characteristic, complemented
7#20244103C211yesmaximal, characteristic, complemented
8#20243996C211yesmaximal, characteristic, complemented
9#20243994C211yesmaximal, characteristic, complemented
10#20243992C211yesmaximal, characteristic, complemented
11#20243240C211yesmaximal, characteristic, complemented
12#20243156C211yesmaximal, characteristic, complemented
13#20243153C211yesmaximal, characteristic, complemented
14C4×C8×Dic47C211yesmaximal, characteristic, complemented
15C47×#1923C211yesmaximal, characteristic, complemented
16C2×C4×C22⋊D47C2211yescharacteristic
17C2×#13093983C2211yescharacteristic
18C2×#13093981C2211yescharacteristic
19#15689183—24no—
20#15689181—24no—
21C2×C4⋊(C47⋊C8)C2211yescharacteristic
22C2×Dic47⋊C8C2211yescharacteristic
23C2×Dic47⋊C8C2211yescharacteristic
24C2×Dic47⋊C8C2211yescharacteristic
25C2×Dic47⋊C8C2211yescharacteristic
26C2×C22⋊(C47⋊C8)C2211yescharacteristic
27C2×C22⋊(C47⋊C8)C2211yescharacteristic
28C2×(C2×D47)⋊C8C2211yescharacteristic
29C2×(C2×D47)⋊C8C2211yescharacteristic
30C2×(C2×D47)⋊C8C2211yescharacteristic
31C2×(C2×D47)⋊C8C2211yescharacteristic
32C2×#13093934C2211yescharacteristic
33C2×#13093934C2211yescharacteristic
34C2×C4×C47⋊C8C2211yescharacteristic
35C2×C8×Dic47C2211yescharacteristic
36C2×C8×Dic47C2211yescharacteristic
37C2×C8×Dic47C2211yescharacteristic
38C2×C8×Dic47C2211yescharacteristic
39#15689023C411yescharacteristic
40#15689023C411yescharacteristic
41#15689020C411yescharacteristic
42#15689020C411yescharacteristic
43#15689015C411yescharacteristic
44#15689015C411yescharacteristic
45#15689011C411yescharacteristic
46#15689011C411yescharacteristic
47C4×Dic47⋊C4C2211yescharacteristic
48C4×(C2×D47)⋊C4C2211yescharacteristic
49C42×Dic47C2211yescharacteristic
50#15688878C2211yescharacteristic
51#15688878C2211yescharacteristic
52#15688877C2211yescharacteristic
53#15688877C2211yescharacteristic
54C2×C4⋊C8×C47C2211yescharacteristic
55C2×C22⋊C8×C47C2211yescharacteristic
56C2×C22⋊C8×C47C2211yescharacteristic
57C2×C4×C8×C47C2211yescharacteristic
58C4×C22⋊C4×C47C2211yescharacteristic
59C47×#336C2211yescharacteristic
60C47×#336C2211yescharacteristic
61C22×C22⋊D47C2×C411yescharacteristic
62C22×C4×D47C2311yescharacteristic
63C22×C47⋊C8C2311yescharacteristic
64C22×C47⋊C8C2311yescharacteristic
65C22×C47⋊C8C2311yescharacteristic
66C22×C47⋊C8C2311yescharacteristic
67C4×C22⋊D47—22no—
68C4×C22⋊D47—22no—
69#13093983—22no—
70#13093983—22no—
71#13093981—22no—
72#13093981—22no—
73C2×C4⋊Dic47C2×C411yescharacteristic
74C2×C4⋊Dic47C2×C411yescharacteristic
75C2×Dic47⋊C4C2×C411yescharacteristic
76C2×Dic47⋊C4C2×C411yescharacteristic
77C2×Dic47⋊C4C2×C411yescharacteristic
78C2×Dic47⋊C4C2×C411yescharacteristic
79C2×Dic47⋊C4C2×C411yescharacteristic
80C2×C22⋊Dic47C2×C411yescharacteristic
81C2×C22⋊Dic47C2×C411yescharacteristic
82C2×C22⋊Dic47C2×C411yescharacteristic
83C2×(C2×D47)⋊C4C2×C411yescharacteristic
84C2×(C2×D47)⋊C4C2×C411yescharacteristic
85C2×(C2×D47)⋊C4C2×C411yescharacteristic
86C2×(C2×D47)⋊C4C2×C411yescharacteristic
87C2×(C2×D47)⋊C4C2×C411yescharacteristic
88C2×C4×Dic47C2×C411yescharacteristic
89C2×C4×Dic47C2×C411yescharacteristic
90C2×C4×Dic47C2×C411yescharacteristic
91C2×C4×Dic47C2×C411yescharacteristic
92C2×C4×Dic47C2311yescharacteristic
93C2×C4×Dic47C2311yescharacteristic
94C2×C4×Dic47C2311yescharacteristic
95C4⋊(C47⋊C8)—22no—
96Dic47⋊C8—22no—
97Dic47⋊C8—22no—
98Dic47⋊C8—22no—
99Dic47⋊C8—22no—
100C22⋊(C47⋊C8)—22no—
101C22⋊(C47⋊C8)—22no—
102(C2×D47)⋊C8—22no—
103(C2×D47)⋊C8—22no—
104(C2×D47)⋊C8—22no—
105(C2×D47)⋊C8—22no—
106#13093934—22no—
107#13093934—22no—
108C4×C47⋊C8—22no—
109C8×Dic47—22no—
110C8×Dic47—22no—
111C8×Dic47—22no—
112C8×Dic47D414yescomplemented
113C47⋊#95C2×C411yescharacteristic
114C47⋊#95C2×C411yescharacteristic
115C47⋊#95C2×C411yescharacteristic
116C47⋊#95C2×C411yescharacteristic
117C23×C4×C47C2311yescharacteristic
118C22×C8×C47C2311yescharacteristic
119C22×C8×C47C2311yescharacteristic
120C22×C8×C47C2311yescharacteristic
121C22×C8×C47C2311yescharacteristic
122C2×C22⋊C4×C47C2×C411yescharacteristic
123C2×C22⋊C4×C47C2×C411yescharacteristic
124C2×C42×C47C2311yescharacteristic
125C2×C42×C47C2311yescharacteristic
126C4⋊C8×C47—22no—
127C22⋊C8×C47—22no—
128C22⋊C8×C47—22no—
129C4×C8×C47—22no—
130#95×C47C2×C411yescharacteristic
131#95×C47C2×C411yescharacteristic
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—22no—
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—21no—
161C2×C4×D47—21no—
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×C47C2×D412yes—
173C2×C8×C47#4112yes—
174C22⋊C4×C47—22no—
175C22⋊C4×C47—22no—
176C42×C47—21no—
177C42×C47—21no—
178C42×C47—21no—
179C42×C47—21no—
180C22⋊Dic47—22no—
181C22⋊Dic47—22no—
182C22⋊Dic47—22no—
183(C2×D47)⋊C4—22no—
184(C2×D47)⋊C4—22no—
185(C2×D47)⋊C4—22no—
186(C2×D47)⋊C4—22no—
187(C2×D47)⋊C4—22no—
188C4⋊Dic47—22no—
189C4⋊Dic47—22no—
190Dic47⋊C4—22no—
191Dic47⋊C4—22no—
192Dic47⋊C4—22no—
193Dic47⋊C4—22no—
194Dic47⋊C4—22no—
195C4×Dic47—22no—
196C4×Dic47—22no—
197C4×Dic47—21no—
198C4×Dic47—21no—
199C4×Dic47—22no—
200C4×Dic47—22no—
201C4×Dic47C2×D412yes—
202C4×Dic47#4112yes—
203C4×Dic47#4112yes—
204C4×Dic47#4112yes—
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⋊C8#4112yes—
217C23×C47—21no—
218C23×C47—21no—
219C23×C47—21no—
220C23×C47—21no—
221C23×C47—21no—
222C23×C47—21no—
223C23×C47—21no—
224C23×C47C23×C411yescharacteristic
225C22×D47—21no—
226C22×D47—21no—
227C22×D47—21no—
228C22×D47—21no—
229C22×D47—21no—
230C22×D47—21no—
231C22×D47—21no—
232C2×C4×C47—21no—
233C2×C4×C47—21no—
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—41no—
246C2×C4×C47—41no—
247C2×C4×C47—41no—
248C2×C4×C47—41no—
249C2×C4×C47#13112yes—
250C2×C4×C47#13112yes—
251C2×C4×C47C22×D411yescharacteristic
252C2×C4×C47C2×#4111yescharacteristic
253C2×C4×C47C2×#4111yescharacteristic
254C2×C4×C47C2×#4111yescharacteristic
255C2×C4×C47C2×#4111yescharacteristic
256C2×C4×C47C2×#4111yescharacteristic
257C22⋊D47—44no—
258C2×Dic47—21no—
259C2×Dic47—21no—
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#11712yes—
274C2×Dic47#11712yes—
275C2×Dic47C4×D412yes—
276C2×Dic47C4×D412yes—
277C2×Dic47#13112yes—
278C2×Dic47#13112yes—
279C4×D47—41no—
280C4×D47—41no—
281C4×D47—41no—
282C4×D47—41no—
283C8×C47—22no—
284C8×C47—22no—
285C8×C47—41no—
286C8×C47—41no—
287C47⋊C8—22no—
288C47⋊C8—22no—
289C47⋊C8—41no—
290C47⋊C8—41no—
291#21266—471nomaximal, Sylow
292C22×C47—41no—
293C22×C47—41no—
294C22×C47—41no—
295C22×C47—41no—
296C22×C47—41no—
297C22×C47—41no—
298C22×C47—41no—
299C22×C47C2×#11711yescharacteristic
300C22×C47C2×C4×D411yescharacteristic
301C22×C47C4×#4111yescharacteristic
302C22×C47C2×#13111yescharacteristic
303C22×C47C2×#13111yescharacteristic
304C22×C47C2×#13111yescharacteristic
305C22×C47C2×#13111yescharacteristic
306C2×D47—41no—
307C2×D47—41no—
308C2×D47—41no—
309C2×D47—41no—
310C2×D47—41no—
311C2×D47—41no—
312C2×D47—41no—
313C4×C47—22no—
314C4×C47—22no—
315C4×C47—41no—
316C4×C47—41no—
317C4×C47—41no—
318C4×C47#52911yescharacteristic
319C4×C47#52911yescharacteristic
320C4×C47#53211yescharacteristic
321C4×C47#53211yescharacteristic
322Dic47—22no—
323Dic47—22no—
324Dic47—22no—
325Dic47—41no—
326Dic47—41no—
327Dic47—41no—
328Dic47#43314yescomplemented
329C2×#433—471no—
330C2×#433—471no—
331#2293—471no—
332#1954—471no—
333#1954—471no—
334#1939—471no—
335#1939—471no—
336#1923—471no—
337#1923—471no—
338#1923—471no—
339#1923D4711yescharacteristic, complemented
340#1767—471no—
341#1750—471no—
342#1750—471no—
343C42×C8—471no—
344C2×C47—81no—
345C2×C47#229311yescharacteristic
346C2×C47C2×#43311yescharacteristic
347C2×C47#292211yescharacteristic
348C2×C47#293111yescharacteristic
349C2×C47#293111yescharacteristic
350C2×C47#296611yescharacteristic
351C2×C47#296611yescharacteristic
352D47—81no—
353C2×C4×D4—471no—
354C2×#117—471no—
355C2×#117—471no—
356#433—944no—
357#433—944no—
358C2×C4⋊C8—471no—
359C2×C4⋊C8—471no—
360C2×C4⋊C8—471no—
361C2×C4⋊C8—471no—
362C2×C4⋊C8—471no—
363C2×C4⋊C8C2×D4711yescharacteristic
364C2×C22⋊C8—471no—
365C2×C22⋊C8—471no—
366C2×C22⋊C8—471no—
367C2×C22⋊C8—471no—
368C2×C22⋊C8—471no—
369C2×C22⋊C8—471no—
370C2×C22⋊C8C2×D4711yescharacteristic
371C2×C22⋊C8C2×D4711yescharacteristic
372C2×#97—471no—
373C2×#97—471no—
374C2×C4×C8—471no—
375C2×C4×C8—471no—
376C2×C4×C8—471no—
377C2×C4×C8—471no—
378C2×C4×C8—471no—
379C2×C4×C8C2×D4711yescharacteristic
380#390—471no—
381#390—471no—
382#389—471no—
383#389—471no—
384#388—471no—
385#388—471no—
386#388—471no—
387#388—471no—
388C4×C4⋊C4—471no—
389C4×C22⋊C4—471no—
390C4×C22⋊C4C2×D4711yescharacteristic
391C43—471no—
392#336—471no—
393#336—471no—
394#336—471no—
395#336—471no—
396#336C2×D4711yescharacteristic
397#336C2×D4711yescharacteristic
398C47#2126611yescharacteristic, complemented, Sylow
399C22×D4—471no—
400C23×C4—471no—
401C23×C4C22×D4711yescharacteristic
402C22×C8—471no—
403C22×C8—471no—
404C22×C8—471no—
405C22×C8—471no—
406C22×C8C22×D4711yescharacteristic
407C22×C8C22×D4711yescharacteristic
408C22×C8C22×D4711yescharacteristic
409C22×C8C22×D4711yescharacteristic
410C4×D4—942no—
411C4×D4—942no—
412#117—942no—
413#117—942no—
414#117—942no—
415#117—942no—
416C2×C4⋊C4—471no—
417C2×C4⋊C4—471no—
418C2×C4⋊C4—471no—
419C2×C4⋊C4—471no—
420C2×C4⋊C4—471no—
421C2×C4⋊C4—471no—
422C2×C4⋊C4—471no—
423C2×C22⋊C4—471no—
424C2×C22⋊C4—471no—
425C2×C22⋊C4—471no—
426C2×C22⋊C4—471no—
427C2×C22⋊C4—471no—
428C2×C22⋊C4—471no—
429C2×C22⋊C4—471no—
430C2×C22⋊C4—471no—
431C2×C22⋊C4C4×D4711yescharacteristic
432C2×C22⋊C4C4×D4711yescharacteristic
433C2×C42—471no—
434C2×C42—471no—
435C2×C42—471no—
436C2×C42—471no—
437C2×C42—471no—
438C2×C42—471no—
439C2×C42—471no—
440C2×C42C22×D4711yescharacteristic
441C2×C42C22×D4711yescharacteristic
442C4⋊C8—22no—
443C4⋊C8—942no—
444C4⋊C8—942no—
445C4⋊C8—942no—
446C4⋊C8—942no—
447C4⋊C8—942no—
448C22⋊C8—22no—
449C22⋊C8—22no—
450C22⋊C8—942no—
451C22⋊C8—942no—
452C22⋊C8—942no—
453C22⋊C8—942no—
454C22⋊C8—942no—
455C22⋊C8—942no—
456#97—942no—
457#97—942no—
458C4×C8—22no—
459C4×C8—474no—
460C4×C8—942no—
461C4×C8—942no—
462C4×C8—942no—
463C4×C8—942no—
464#95—471no—
465#95—471no—
466#95—471no—
467#95—471no—
468#95C4×D4711yescharacteristic
469#95C4×D4711yescharacteristic
470C24—471no—
471C24C2×C4×D4711yescharacteristic
472C2×D4—942no—
473C2×D4—942no—
474C2×D4—942no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—471no—
482C22×C4—471no—
483C22×C4—471no—
484C22×C4—471no—
485C22×C4—471no—
486C22×C4—471no—
487C22×C4—471no—
488C22×C4—941no—
489C22×C4—941no—
490C22×C4—941no—
491C22×C4—941no—
492C22×C4—941no—
493C22×C4—941no—
494C22×C4C2×C4×D4711yescharacteristic
495C22×C4C2×C4×D4711yescharacteristic
496C22×C4C2×C4×D4711yescharacteristic
497C22×C4C2×C4×D4711yescharacteristic
498C22×C4C2×C4×D4711yescharacteristic
499C22×C4C23×D4711yescharacteristic
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—472no—
511C2×C8—472no—
512C2×C8—941no—
513C2×C8—941no—
514C2×C8—941no—
515C2×C8—941no—
516C2×C8—941no—
517C2×C8—941no—
518C2×C8—941no—
519C2×C8—941no—
520C2×C8—941no—
521C2×C8—941no—
522C2×C8D4×D4712yes—
523C2×C8#1062535212yes—
524C4⋊C4—942no—
525C4⋊C4—942no—
526C4⋊C4—942no—
527C4⋊C4—942no—
528C4⋊C4—942no—
529C4⋊C4—942no—
530C4⋊C4—942no—
531C22⋊C4—22no—
532C22⋊C4—22no—
533C22⋊C4—942no—
534C22⋊C4—942no—
535C22⋊C4—942no—
536C22⋊C4—942no—
537C22⋊C4—942no—
538C22⋊C4—942no—
539C22⋊C4—942no—
540C22⋊C4—942no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—472no—
546C42—472no—
547C42—472no—
548C42—472no—
549C42—942no—
550C42—942no—
551C42—942no—
552C42—942no—
553C42—941no—
554C42—941no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—941no—
563C23—941no—
564C23—941no—
565C23—941no—
566C23—941no—
567C23—941no—
568C23—941no—
569C23C22×C4×D4711yescharacteristic
570D4—1884no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
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—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—472no—
589C2×C4—472no—
590C2×C4—472no—
591C2×C4—472no—
592C2×C4—472no—
593C2×C4—472no—
594C2×C4—941no—
595C2×C4—941no—
596C2×C4—941no—
597C2×C4—941no—
598C2×C4—941no—
599C2×C4—941no—
600C2×C4—941no—
601C2×C4—941no—
602C2×C4—941no—
603C2×C4—941no—
604C2×C4—941no—
605C2×C4—941no—
606C2×C4—941no—
607C2×C4—941no—
608C2×C4—941no—
609C2×C4—1881no—
610C2×C4—1881no—
611C2×C4—1881no—
612C2×C4—1881no—
613C2×C4#1309403012yes—
614C2×C4#1309403212yes—
615C2×C4C2×D4×D4711yescharacteristic
616C2×C4#41×D4711yescharacteristic
617C2×C4#41×D4711yescharacteristic
618C2×C4#41×D4711yescharacteristic
619C2×C4#41×D4711yescharacteristic
620C2×C4C2×#1062535211yescharacteristic
621C8—22no—
622C8—22no—
623C8—41no—
624C8—41no—
625C8—942no—
626C8—942no—
627C8—1881no—
628C8—1881no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—1881no—
637C22—1881no—
638C22—1881no—
639C22—1881no—
640C22—1881no—
641C22—1881no—
642C22—1881no—
643C22#117×D4711yescharacteristic
644C22C4×D4×D4711yescharacteristic
645C22C4×#1062535211yescharacteristic
646C22#131×D4711yescharacteristic
647C22#131×D4711yescharacteristic
648C22C2×#1309403011yescharacteristic
649C22C2×#1309403211yescharacteristic
650C4—22no—
651C4—22no—
652C4—41no—
653C4—41no—
654C4—41no—
655C4—474no—
656C4—942no—
657C4—942no—
658C4—942no—
659C4—1881no—
660C4—1881no—
661C4—1881no—
662C4#1568965011yescharacteristic
663C4#1568965611yescharacteristic
664C4#1568966811yescharacteristic
665C4#1568967211yescharacteristic
666C2—81no—
667C2—3761no—
668C2#2024584811yescharacteristic
669C2#433×D4711yescharacteristic
670C2#2025202711yescharacteristic
671C2#2025209511yescharacteristic
672C2#2025209711yescharacteristic
673C2#2025235611yescharacteristic
674C2#2025235811yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D47
commutator, socleC23×C47C23×C4
FittingC47×#1923C2
prime radicalC22×C22⋊D47C2×C4
cosocleC22×C4×C47C24
hypercenter#1923D47
hypocenterC47#21266
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #1923

Complements

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

NH ≅ G/Ntype
1. C2×#15689183C2semidirect
2. C2×#15689181C2semidirect
6. #20244105C2semidirect
7. #20244103C2semidirect
8. #20243996C2semidirect
9. #20243994C2semidirect
10. #20243992C2semidirect
11. #20243240C2semidirect
12. #20243156C2semidirect
13. #20243153C2semidirect
14. C4×C8×Dic47C2semidirect
15. C47×#1923C2semidirect
112. C8×Dic47D4semidirect
328. Dic47#433semidirect
339. #1923D47semidirect
398. C47#21266semidirect

Maximal subgroups

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

subgroupindex
C2×#156891832
C2×#156891812
#202458512
#202441802
#202441052
#202441032
#202439962
#202439942
#202439922
#202432402
#202431562
#202431532
C4×C8×Dic472
C47×#19232
#2126647