Finite Group Databasebeta

← #26219197

Subgroups — #26219197

Order 12032.

906 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689180C211yesmaximal, characteristic, complemented
2C2×#15689077C211yesmaximal, characteristic, complemented
3#20245831C211yesmaximal, 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
12#20243246C211yesmaximal, characteristic, complemented
13#20243155C211yesmaximal, characteristic, complemented
14#20243139C211yesmaximal, characteristic, complemented
15C4×C22⋊C8×C47C211yesmaximal, characteristic, complemented
16C22×#10625324C2211yescharacteristic
17C22×C8×D47C2211yescharacteristic
18C2×C4×C22⋊D47C2211yescharacteristic
19C2×#13093981C2211yescharacteristic
20#15689180—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×#13093935C2211yescharacteristic
32C2×#13093934C2211yescharacteristic
33C2×C8×Dic47C2211yescharacteristic
34#15689014C411yescharacteristic
35#15689014C411yescharacteristic
36#15689007C411yescharacteristic
37#15689007C411yescharacteristic
38#15689002C411yescharacteristic
39#15689002C411yescharacteristic
40#15688996C411yescharacteristic
41#15688996C411yescharacteristic
42C4×Dic47⋊C4C2211yescharacteristic
43C4×(C2×D47)⋊C4C2211yescharacteristic
44C4×C22⋊Dic47C2211yescharacteristic
45#15688969C2211yescharacteristic
46#15688877C2211yescharacteristic
47#15688877C2211yescharacteristic
48#15688877C2211yescharacteristic
49#15688877C2211yescharacteristic
50#15688877C2211yescharacteristic
51#15688877C2211yescharacteristic
52#15688877C2211yescharacteristic
53#15688877C2211yescharacteristic
54C22×C42×C47C2211yescharacteristic
55C2×C22⋊C8×C47C2211yescharacteristic
56C2×C22⋊C8×C47C2211yescharacteristic
57C2×C4×C8×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×Dic47C2311yescharacteristic
91C2×C4×Dic47C2311yescharacteristic
92C2×C4×Dic47C2311yescharacteristic
93C4⋊(C47⋊C8)—22no—
94C4⋊(C47⋊C8)—22no—
95Dic47⋊C8—22no—
96Dic47⋊C8—22no—
97C22⋊(C47⋊C8)—22no—
98C22⋊(C47⋊C8)—22no—
99(C2×D47)⋊C8—22no—
100(C2×D47)⋊C8—22no—
101#13093935—22no—
102#13093935D414yescomplemented
103#13093934—22no—
104C8×Dic47—22no—
105C47⋊#95C2×C411yescharacteristic
106C47⋊#95C2×C411yescharacteristic
107C47⋊#95C2×C411yescharacteristic
108C47⋊#95C2×C411yescharacteristic
109C47⋊#95C2×C411yescharacteristic
110C47⋊#95C2×C411yescharacteristic
111C47⋊#95C2×C411yescharacteristic
112C47⋊#95C2×C411yescharacteristic
113C47⋊#95C2×C411yescharacteristic
114C47⋊#95C2×C411yescharacteristic
115C23×C4×C47C2×C411yescharacteristic
116C23×C4×C47C2×C411yescharacteristic
117C23×C4×C47C2311yescharacteristic
118C22×C8×C47C2311yescharacteristic
119C22×C8×C47C2311yescharacteristic
120C22×C8×C47C2311yescharacteristic
121C22×C8×C47C2311yescharacteristic
122C2×C42×C47—22no—
123C2×C42×C47—22no—
124C2×C42×C47C2×C411yescharacteristic
125C2×C42×C47C2×C411yescharacteristic
126C2×C42×C47C2311yescharacteristic
127C2×C42×C47C2311yescharacteristic
128C22⋊C8×C47—22no—
129C22⋊C8×C47—22no—
130C4×C8×C47—22no—
131C4×C8×C47—22no—
132C24×C47C22×C411yescharacteristic
133C23×D47C22×C411yescharacteristic
134C22×C4×C47—22no—
135C22×C4×C47—22no—
136C22×C4×C47—22no—
137C22×C4×C47—22no—
138C22×C4×C47—21no—
139C22×C4×C47—21no—
140C22×C4×C47—21no—
141C22×C4×C47—21no—
142C22×C4×C47—21no—
143C22×C4×C47—21no—
144C22×C4×C47—41no—
145C22×C4×C47—41no—
146C22×C4×C47C22×C411yescharacteristic
147C22×C4×C47C22×C411yescharacteristic
148C22×C4×C47C22×C411yescharacteristic
149C22×C4×C47C22×C411yescharacteristic
150C22×C4×C47C22×C411yescharacteristic
151C22×C4×C47C2411yescharacteristic
152C2×C22⋊D47—22no—
153C2×C22⋊D47—22no—
154C2×C22⋊D47—41no—
155C22×Dic47C22×C411yescharacteristic
156C22×Dic47C22×C411yescharacteristic
157C22×Dic47C22×C411yescharacteristic
158C22×Dic47C22×C411yescharacteristic
159C22×Dic47C22×C411yescharacteristic
160C22×Dic47C22×C411yescharacteristic
161C22×Dic47C22×C411yescharacteristic
162C2×C4×D47—21no—
163C2×C4×D47—21no—
164C2×C4×D47—21no—
165C2×C4×D47—21no—
166C2×C4×D47#4112yes—
167C2×C4×D47#4112yes—
168C2×C8×C47—21no—
169C2×C8×C47—21no—
170C2×C8×C47—21no—
171C2×C8×C47—21no—
172C2×C8×C47—21no—
173C2×C8×C47—21no—
174C2×C8×C47—21no—
175C2×C8×C47—21no—
176C2×C8×C47—21no—
177C2×C8×C47—21no—
178C2×C8×C47#4112yes—
179C2×C8×C47#4112yes—
180C42×C47—22no—
181C42×C47—22no—
182C42×C47—21no—
183C42×C47—21no—
184C42×C47C2×D412yes—
185C42×C47#4112yes—
186C22⋊Dic47—22no—
187C22⋊Dic47—22no—
188C22⋊Dic47—41no—
189(C2×D47)⋊C4—22no—
190(C2×D47)⋊C4—22no—
191(C2×D47)⋊C4—22no—
192(C2×D47)⋊C4—22no—
193(C2×D47)⋊C4—41no—
194Dic47⋊C4—22no—
195Dic47⋊C4—22no—
196Dic47⋊C4—22no—
197Dic47⋊C4—22no—
198Dic47⋊C4—41no—
199C4×Dic47—21no—
200C4×Dic47—21no—
201C4×Dic47—21no—
202C4×Dic47—21no—
203C4×Dic47—21no—
204C4×Dic47—21no—
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#13112yes—
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—44no—
247C2×C4×C47—44no—
248C2×C4×C47—41no—
249C2×C4×C47—41no—
250C2×C4×C47—41no—
251C2×C4×C47—41no—
252C2×C4×C47C4×D412yes—
253C2×C4×C47C4×D412yes—
254C2×C4×C47#13112yes—
255C2×C4×C47C22×D411yescharacteristic
256C2×C4×C47C2×#4111yescharacteristic
257C2×C4×C47C2×#4111yescharacteristic
258C2×C4×C47C2×#4111yescharacteristic
259C2×C4×C47C2×#4111yescharacteristic
260C2×C4×C47C2×#4111yescharacteristic
261C22⋊D47—44no—
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—21no—
279C2×Dic47—21no—
280C2×Dic47—21no—
281C2×Dic47—21no—
282C2×Dic47#11712yes—
283C4×D47—22no—
284C4×D47—22no—
285C4×D47—22no—
286C4×D47—22no—
287C8×C47—22no—
288C8×C47—22no—
289C8×C47—41no—
290C8×C47—41no—
291C47⋊C8—22no—
292C47⋊C8—22no—
293C47⋊C8—41no—
294C47⋊C8—41no—
295#21112—471nomaximal, Sylow
296C22×C47—22no—
297C22×C47—22no—
298C22×C47—22no—
299C22×C47—41no—
300C22×C47—41no—
301C22×C47—41no—
302C22×C47—41no—
303C22×C47C2×#11711yescharacteristic
304C22×C47C2×C4×D411yescharacteristic
305C22×C47C4×#4111yescharacteristic
306C22×C47C2×#13111yescharacteristic
307C22×C47C2×#13111yescharacteristic
308C22×C47#56811yescharacteristic
309C22×C47#56811yescharacteristic
310C2×D47—22no—
311C2×D47—22no—
312C2×D47—22no—
313C2×D47—41no—
314C2×D47—41no—
315C2×D47—41no—
316C2×D47—41no—
317C4×C47—22no—
318C4×C47—22no—
319C4×C47—22no—
320C4×C47—41no—
321C4×C47—41no—
322C4×C47#52511yescharacteristic
323C4×C47#52511yescharacteristic
324C4×C47#52911yescharacteristic
325C4×C47#52911yescharacteristic
326Dic47—22no—
327Dic47—41no—
328Dic47—41no—
329Dic47—41no—
330Dic47—41no—
331Dic47—41no—
332Dic47—41no—
333C2×#432—471no—
334C2×#405—471no—
335#2290—471no—
336#1924—471no—
337#1923—471no—
338#1917—471no—
339#1916—471no—
340#1870—471no—
341#1869—471no—
342#1851—471no—
343#1850—471no—
344#1768—471no—
345#1750—471no—
346C4×C22⋊C8D4711yescharacteristic, complemented
347#1746—471no—
348C2×C47—42no—
349C2×C47#229011yescharacteristic
350C2×C47#292411yescharacteristic
351C2×C47#292511yescharacteristic
352C2×C47#293311yescharacteristic
353C2×C47#293311yescharacteristic
354C2×C47#296611yescharacteristic
355C2×C47#296711yescharacteristic
356D47—42no—
357C22×M16—471no—
358C23×C8—471no—
359C2×C4×D4—471no—
360C2×#117—471no—
361C22×C42C2×D4711yescharacteristic
362#432—944no—
363C2×C4⋊C8—471no—
364C2×C4⋊C8—471no—
365C2×C4⋊C8—471no—
366C2×C4⋊C8—471no—
367C2×C22⋊C8—471no—
368C2×C22⋊C8—471no—
369C2×C22⋊C8—471no—
370C2×C22⋊C8—471no—
371C2×C22⋊C8C2×D4711yescharacteristic
372C2×C22⋊C8C2×D4711yescharacteristic
373#405—944no—
374C2×#97—471no—
375C2×#97—471no—
376C2×#97—471no—
377C2×C4×C8—471no—
378C2×C4×C8C2×D4711yescharacteristic
379C2×C4×C8C2×D4711yescharacteristic
380#388—471no—
381#388—471no—
382#387—471no—
383#387—471no—
384#386—471no—
385#386—471no—
386#385—471no—
387#385—471no—
388C4×C4⋊C4—471no—
389C4×C22⋊C4—471no—
390C4×C22⋊C4—471no—
391#376—471no—
392#336—471no—
393#336—471no—
394#336—471no—
395#336—471no—
396#336—471no—
397#336—471no—
398#336—471no—
399#336—471no—
400#336C2×D4711yescharacteristic
401#336C2×D4711yescharacteristic
402C47#2111211yescharacteristic, complemented, Sylow
403C22×D4—471no—
404C23×C4—471no—
405C23×C4C4×D4711yescharacteristic
406C23×C4C4×D4711yescharacteristic
407C23×C4C22×D4711yescharacteristic
408C2×M16—942no—
409C2×M16—942no—
410C2×M16—942no—
411C22×C8—471no—
412C22×C8—471no—
413C22×C8—471no—
414C22×C8—471no—
415C22×C8—942no—
416C22×C8—942no—
417C22×C8—942no—
418C22×C8C22×D4711yescharacteristic
419C22×C8C22×D4711yescharacteristic
420C22×C8C22×D4711yescharacteristic
421C22×C8C22×D4711yescharacteristic
422C4×D4—942no—
423C4×D4—942no—
424#117—942no—
425#117—942no—
426C2×C4⋊C4—471no—
427C2×C4⋊C4—471no—
428C2×C4⋊C4—471no—
429C2×C4⋊C4—471no—
430C2×C4⋊C4—471no—
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×C42—22no—
440C2×C42—22no—
441C2×C42—471no—
442C2×C42—471no—
443C2×C42—471no—
444C2×C42C4×D4711yescharacteristic
445C2×C42C4×D4711yescharacteristic
446C2×C42C22×D4711yescharacteristic
447C2×C42C22×D4711yescharacteristic
448C4⋊C8—942no—
449C4⋊C8—942no—
450C4⋊C8—942no—
451C4⋊C8—942no—
452C22⋊C8—22no—
453C22⋊C8—22no—
454C22⋊C8—942no—
455C22⋊C8—942no—
456C22⋊C8—942no—
457C22⋊C8—942no—
458#97—474no—
459#97—942no—
460#97—942no—
461C4×C8—22no—
462C4×C8—22no—
463C4×C8—942no—
464#95—471no—
465#95—471no—
466#95—471no—
467#95—471no—
468#95—471no—
469#95—471no—
470#95—471no—
471#95—471no—
472#95—471no—
473#95—471no—
474C24—471no—
475C24C2×C4×D4711yescharacteristic
476C2×D4—942no—
477C2×D4—942no—
478C2×D4—1881no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—41no—
490C22×C4—41no—
491C22×C4—471no—
492C22×C4—472no—
493C22×C4—472no—
494C22×C4—471no—
495C22×C4—471no—
496C22×C4—471no—
497C22×C4—471no—
498C22×C4—471no—
499C22×C4—471no—
500C22×C4—941no—
501C22×C4—941no—
502C22×C4—941no—
503C22×C4—941no—
504C22×C4C2×C4×D4711yescharacteristic
505C22×C4C2×C4×D4711yescharacteristic
506C22×C4C2×C4×D4711yescharacteristic
507C22×C4C2×C4×D4711yescharacteristic
508C22×C4C2×C4×D4711yescharacteristic
509C22×C4C23×D4711yescharacteristic
510M16—948no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—472no—
522C2×C8—472no—
523C2×C8—948no—
524C2×C8—941no—
525C2×C8—941no—
526C2×C8—941no—
527C2×C8—941no—
528C2×C8—941no—
529C2×C8—941no—
530C2×C8—941no—
531C2×C8—941no—
532C2×C8—941no—
533C2×C8—941no—
534C2×C8#1062535012yes—
535C2×C8#1062535012yes—
536C4⋊C4—942no—
537C4⋊C4—942no—
538C4⋊C4—942no—
539C4⋊C4—942no—
540C4⋊C4—1881no—
541C22⋊C4—942no—
542C22⋊C4—942no—
543C22⋊C4—942no—
544C22⋊C4—942no—
545C22⋊C4—942no—
546C22⋊C4—942no—
547C22⋊C4—1881no—
548C22⋊C4—1881no—
549C42—22no—
550C42—22no—
551C42—21no—
552C42—21no—
553C42—941no—
554C42—941no—
555C42—941no—
556C42—941no—
557C42—941no—
558C42—941no—
559C42D4×D4712yes—
560C42#1062535212yes—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—472no—
568C23—941no—
569C23—941no—
570C23—941no—
571C23—941no—
572C23—941no—
573C23—941no—
574C23#1309403012yes—
575C23C22×C4×D4711yescharacteristic
576D4—1884no—
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—21no—
589C2×C4—44no—
590C2×C4—44no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—472no—
596C2×C4—941no—
597C2×C4—941no—
598C2×C4—942no—
599C2×C4—942no—
600C2×C4—942no—
601C2×C4—942no—
602C2×C4—941no—
603C2×C4—941no—
604C2×C4—941no—
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—941no—
618C2×C4—941no—
619C2×C4—941no—
620C2×C4(C22⋊D47)⋊C412yes—
621C2×C4(C22⋊D47)⋊C412yes—
622C2×C4#1309403012yes—
623C2×C4C2×D4×D4711yescharacteristic
624C2×C4#41×D4711yescharacteristic
625C2×C4#41×D4711yescharacteristic
626C2×C4C2×#1062535211yescharacteristic
627C2×C4C2×#1062535011yescharacteristic
628C2×C4C2×#1062535011yescharacteristic
629C8—22no—
630C8—22no—
631C8—41no—
632C8—41no—
633C8—942no—
634C8—942no—
635C8—1881no—
636C8—1881no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—942no—
645C22—942no—
646C22—942no—
647C22—1881no—
648C22—1881no—
649C22—1881no—
650C22—1881no—
651C22#117×D4711yescharacteristic
652C22C2×(C22⋊D47)⋊C411yescharacteristic
653C22C4×#1062535011yescharacteristic
654C22C2×#1309403011yescharacteristic
655C22C2×#1309403011yescharacteristic
656C22#1568988911yescharacteristic
657C22#1568988911yescharacteristic
658C4—22no—
659C4—22no—
660C4—22no—
661C4—41no—
662C4—41no—
663C4—942no—
664C4—1881no—
665C4—1881no—
666C4—1881no—
667C4—1881no—
668C4—1881no—
669C4—1881no—
670C4#1568963211yescharacteristic
671C4#1568963211yescharacteristic
672C4#1568965511yescharacteristic
673C4#1568965511yescharacteristic
674C2—42no—
675C2—1882no—
676C2#2024583411yescharacteristic
677C2#2025204111yescharacteristic
678C2#2025204911yescharacteristic
679C2#2025210911yescharacteristic
680C2#2025210911yescharacteristic
681C2#2025236311yescharacteristic
682C2#2025237311yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D47
commutator, socleC23×C47C23×C4
FittingC4×C22⋊C8×C47C2
prime radicalC22×C22⋊D47C2×C4
cosocleC22×C4×C47C24
hypercenterC4×C22⋊C8D47
hypocenterC47#21112
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C4×C22⋊C8

Complements

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

NH ≅ G/Ntype
1. C2×#15689180C2semidirect
2. C2×#15689077C2semidirect
4. #20244004C2semidirect
5. #20243997C2semidirect
6. #20243955C2semidirect
7. #20243948C2semidirect
10. #20243572C2semidirect
11. #20243567C2semidirect
12. #20243246C2semidirect
13. #20243155C2semidirect
14. #20243139C2semidirect
15. C4×C22⋊C8×C47C2semidirect
102. #13093935D4semidirect
346. C4×C22⋊C8D47semidirect
402. C47#21112semidirect

Maximal subgroups

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

subgroupindex
C2×#156891802
C2×#156890772
#202458312
#202440042
#202439972
#202439552
#202439482
#202436822
#202436772
#202435722
#202435672
#202432462
#202431552
#202431392
C4×C22⋊C8×C472
#2111247