Finite Group Databasebeta

← #25115742

Subgroups — #25115742

Order 11008.

838 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×#14582959C211yesmaximal, characteristic, complemented
2C2×#14582924C211yesmaximal, characteristic, complemented
3#19137059C211yesmaximal, characteristic
4#19135208C211yesmaximal, characteristic, complemented
5#19135208C211yesmaximal, characteristic, complemented
6#19135160C211yesmaximal, characteristic, complemented
7#19135153C211yesmaximal, characteristic, complemented
8#19134891C211yesmaximal, characteristic
9#19134886C211yesmaximal, characteristic
10#19134712C211yesmaximal, characteristic, complemented
11#19134576C211yesmaximal, characteristic, complemented
12#19134576C211yesmaximal, characteristic, complemented
13#19134380C211yesmaximal, characteristic, complemented
14#19134372C211yesmaximal, characteristic, complemented
15C43×#1767C211yesmaximal, characteristic, complemented
16C22×#10621872C2211yescharacteristic
17C22×C8×D43C2211yescharacteristic
18C2×C4×D172C2211yescharacteristic
19C2×#13063282C2211yescharacteristic
20C2×#13063282C2211yescharacteristic
21#14582959—24no—
22#14582924—24no—
23C2×C4⋊(C43⋊C8)C2211yescharacteristic
24C2×C4⋊(C43⋊C8)C2211yescharacteristic
25C2×Dic43⋊C8C2211yescharacteristic
26C2×Dic43⋊C8C2211yescharacteristic
27C2×(C2×D43)⋊C8C2211yescharacteristic
28C2×(C2×D43)⋊C8C2211yescharacteristic
29C2×(C2×D43)⋊C8C2211yescharacteristic
30C2×(C2×D43)⋊C8C2211yescharacteristic
31C2×(C2×D43)⋊C8C2211yescharacteristic
32C2×(C2×D43)⋊C8C2211yescharacteristic
33C2×#13063235C2211yescharacteristic
34C2×C8×Dic43C2211yescharacteristic
35#14582801C411yescharacteristic
36#14582801C411yescharacteristic
37#14582797C411yescharacteristic
38#14582797C411yescharacteristic
39#14582790C411yescharacteristic
40#14582790C411yescharacteristic
41#14582790C411yescharacteristic
42#14582790C411yescharacteristic
43C4×C4⋊Dic43C2211yescharacteristic
44C4×(C2×D43)⋊C4C2211yescharacteristic
45C4×(C2×D43)⋊C4C2211yescharacteristic
46#14582654C2211yescharacteristic
47#14582654C2211yescharacteristic
48#14582654C2211yescharacteristic
49#14582654C2211yescharacteristic
50#14582653C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53#14582653C2211yescharacteristic
54C2×C4⋊C8×C43C2211yescharacteristic
55C2×C4⋊C8×C43C2211yescharacteristic
56C2×#97×C43C2211yescharacteristic
57C2×#97×C43C2211yescharacteristic
58C43×C43C2211yescharacteristic
59C43×#336C2211yescharacteristic
60C43×#336C2211yescharacteristic
61C22×D172C2×C411yescharacteristic
62C22×C4×D43C2311yescharacteristic
63C22×C4×D43C2311yescharacteristic
64C2×#10621872—22no—
65C2×#10621872—22no—
66C2×#10621872—41no—
67C22×C43⋊C8C2311yescharacteristic
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71C2×C8×D43—22no—
72C2×C8×D43—22no—
73C2×C8×D43—41no—
74C4×D172—22no—
75C4×D172—22no—
76#13063282—22no—
77#13063282—22no—
78#13063282—22no—
79#13063282—22no—
80C2×C4⋊Dic43C2×C411yescharacteristic
81C2×C4⋊Dic43C2×C411yescharacteristic
82C2×C4⋊Dic43C2×C411yescharacteristic
83C2×Dic43⋊C4C2×C411yescharacteristic
84C2×Dic43⋊C4C2×C411yescharacteristic
85C2×Dic43⋊C4C2×C411yescharacteristic
86C2×Dic43⋊C4C2×C411yescharacteristic
87C2×(C2×D43)⋊C4C2×C411yescharacteristic
88C2×(C2×D43)⋊C4C2×C411yescharacteristic
89C2×(C2×D43)⋊C4C2×C411yescharacteristic
90C2×(C2×D43)⋊C4C2×C411yescharacteristic
91C2×(C2×D43)⋊C4C2×C411yescharacteristic
92C2×(C2×D43)⋊C4C2×C411yescharacteristic
93C2×(C2×D43)⋊C4C2×C411yescharacteristic
94C2×(C2×D43)⋊C4C2×C411yescharacteristic
95C2×(C2×D43)⋊C4C2×C411yescharacteristic
96C2×(C2×D43)⋊C4C2×C411yescharacteristic
97C2×C4×Dic43C2311yescharacteristic
98C2×C4×Dic43C2311yescharacteristic
99C4⋊(C43⋊C8)—22no—
100C4⋊(C43⋊C8)—22no—
101Dic43⋊C8—22no—
102Dic43⋊C8—22no—
103(C2×D43)⋊C8—22no—
104(C2×D43)⋊C8—22no—
105(C2×D43)⋊C8—22no—
106(C2×D43)⋊C8—22no—
107(C2×D43)⋊C8—41no—
108(C2×D43)⋊C8—41no—
109#13063235—22no—
110C8×Dic43—22no—
111C43⋊#95C2×C411yescharacteristic
112C43⋊#95C2×C411yescharacteristic
113C43⋊#95C2×C411yescharacteristic
114C43⋊#95C2×C411yescharacteristic
115C43⋊#95C2×C411yescharacteristic
116C43⋊#95C2×C411yescharacteristic
117C22×C8×C43C2311yescharacteristic
118C22×C8×C43C2311yescharacteristic
119C22×C8×C43C2311yescharacteristic
120C22×C8×C43C2311yescharacteristic
121C2×C42×C43C2×C411yescharacteristic
122C2×C42×C43C2×C411yescharacteristic
123C2×C42×C43C2×C411yescharacteristic
124C2×C42×C43C2×C411yescharacteristic
125C2×C42×C43C2311yescharacteristic
126C2×C42×C43C2311yescharacteristic
127C2×C42×C43C2311yescharacteristic
128C4⋊C8×C43—22no—
129C4⋊C8×C43D414yescomplemented
130#97×C43—41no—
131#97×C43—41no—
132C23×D43C22×C411yescharacteristic
133C23×D43C22×C411yescharacteristic
134C22×C4×C43C22×C411yescharacteristic
135C22×C4×C43C22×C411yescharacteristic
136C22×C4×C43C22×C411yescharacteristic
137C22×C4×C43C22×C411yescharacteristic
138C22×C4×C43C22×C411yescharacteristic
139C22×C4×C43C22×C411yescharacteristic
140C22×C4×C43C2411yescharacteristic
141C22×Dic43C22×C411yescharacteristic
142C22×Dic43C22×C411yescharacteristic
143C22×Dic43C22×C411yescharacteristic
144C22×Dic43C22×C411yescharacteristic
145C22×Dic43C22×C411yescharacteristic
146C22×Dic43C22×C411yescharacteristic
147C2×D172—22no—
148C2×D172—22no—
149C2×D172—41no—
150C2×C4×D43—21no—
151C2×C4×D43—21no—
152C2×C4×D43—21no—
153C2×C4×D43—21no—
154C2×C4×D43—21no—
155C2×C4×D43—21no—
156C2×C4×D43—21no—
157C2×C4×D43—21no—
158C2×C4×D43—21no—
159C2×C4×D43—21no—
160C2×C4×D43#4112yes—
161C2×C4×D43#4112yes—
162C2×C8×C43—21no—
163C2×C8×C43—21no—
164C2×C8×C43—21no—
165C2×C8×C43—21no—
166C2×C8×C43—21no—
167C2×C8×C43—21no—
168C2×C8×C43—21no—
169C2×C8×C43—21no—
170C2×C8×C43—21no—
171C2×C8×C43—21no—
172C2×C8×C43C2×D412yes—
173C2×C8×C43C2×D412yes—
174C42×C43—22no—
175C42×C43—21no—
176C42×C43—21no—
177C42×C43—21no—
178C42×C43—21no—
179C42×C43—41no—
180C42×C43—41no—
181C42×C43—41no—
182C42×C43C2×D412yes—
183C42×C43#4112yes—
184(C2×D43)⋊C4—22no—
185(C2×D43)⋊C4—22no—
186(C2×D43)⋊C4—22no—
187(C2×D43)⋊C4—22no—
188(C2×D43)⋊C4—22no—
189(C2×D43)⋊C4—22no—
190(C2×D43)⋊C4—41no—
191(C2×D43)⋊C4—41no—
192(C2×D43)⋊C4—41no—
193(C2×D43)⋊C4—41no—
194C4⋊Dic43—22no—
195C4⋊Dic43—22no—
196C4⋊Dic43—41no—
197Dic43⋊C4—22no—
198Dic43⋊C4—22no—
199Dic43⋊C4—22no—
200Dic43⋊C4—22no—
201C4×Dic43—21no—
202C4×Dic43—21no—
203C4×Dic43—21no—
204C4×Dic43—21no—
205C2×C43⋊C8—21no—
206C2×C43⋊C8—21no—
207C2×C43⋊C8—21no—
208C2×C43⋊C8—21no—
209C2×C43⋊C8—21no—
210C2×C43⋊C8—21no—
211C2×C43⋊C8—21no—
212C2×C43⋊C8—21no—
213C2×C43⋊C8—21no—
214C2×C43⋊C8—21no—
215C2×C43⋊C8—21no—
216C2×C43⋊C8—21no—
217#10621872—44no—
218C8×D43—44no—
219C23×C43C23×C411yescharacteristic
220C22×D43—21no—
221C22×D43—21no—
222C22×D43—21no—
223C22×D43—21no—
224C22×D43—21no—
225C22×D43—21no—
226C22×D43—21no—
227C22×D43—21no—
228C22×D43—21no—
229C22×D43—21no—
230C22×D43—21no—
231C22×D43—21no—
232C22×D43—21no—
233C22×D43#11712yes—
234C2×C4×C43—21no—
235C2×C4×C43—21no—
236C2×C4×C43—21no—
237C2×C4×C43—21no—
238C2×C4×C43—21no—
239C2×C4×C43—21no—
240C2×C4×C43—21no—
241C2×C4×C43—21no—
242C2×C4×C43—21no—
243C2×C4×C43—21no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—21no—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
249C2×C4×C43C4×D412yes—
250C2×C4×C43C4×D412yes—
251C2×C4×C43#13112yes—
252C2×C4×C43C22×D411yescharacteristic
253C2×C4×C43C2×#4111yescharacteristic
254C2×C4×C43C2×#4111yescharacteristic
255C2×C4×C43C2×#4111yescharacteristic
256C2×C4×C43H(5,𝔽2)11yescharacteristic
257C2×C4×C432−1+411yescharacteristic
258C2×Dic43—21no—
259C2×Dic43—21no—
260C2×Dic43—21no—
261C2×Dic43—21no—
262C2×Dic43—21no—
263C2×Dic43—21no—
264C2×Dic43—21no—
265C2×Dic43—21no—
266C2×Dic43—21no—
267C2×Dic43—21no—
268C2×Dic43—21no—
269C2×Dic43—21no—
270C2×Dic43—21no—
271C2×Dic43—21no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43#11712yes—
276D172—44no—
277C4×D43—22no—
278C4×D43—22no—
279C4×D43—22no—
280C4×D43—22no—
281C4×D43—41no—
282C4×D43—41no—
283C4×D43—41no—
284C4×D43—41no—
285C8×C43—22no—
286C8×C43—22no—
287C8×C43—41no—
288C8×C43—41no—
289C43⋊C8—41no—
290C43⋊C8—41no—
291C43⋊C8—41no—
292C43⋊C8—41no—
293#22757—431nomaximal, Sylow
294C22×C43C2×#11711yescharacteristic
295C22×C43C2×C4×D411yescharacteristic
296C22×C43#52011yescharacteristic
297C22×C43C2×#13111yescharacteristic
298C22×C43#56811yescharacteristic
299C22×C43#56811yescharacteristic
300C22×C43#56811yescharacteristic
301C2×D43—22no—
302C2×D43—22no—
303C2×D43—22no—
304C2×D43—41no—
305C2×D43—41no—
306C2×D43—41no—
307C2×D43—41no—
308C2×D43—41no—
309C2×D43—41no—
310C2×D43—41no—
311C2×D43—41no—
312C2×D43—41no—
313C2×D43—41no—
314C2×D43—41no—
315C4×C43—22no—
316C4×C43—22no—
317C4×C43—22no—
318C4×C43—41no—
319C4×C43—41no—
320C4×C43—41no—
321C4×C43#54611yescharacteristic
322C4×C43#54811yescharacteristic
323C4×C43#55211yescharacteristic
324C4×C43#55311yescharacteristic
325Dic43—22no—
326Dic43—41no—
327Dic43—41no—
328Dic43—41no—
329Dic43—41no—
330Dic43—41no—
331C2×#433—431no—
332C2×#424—431no—
333#2293—431no—
334#1924—431no—
335#1924—431no—
336#1917—431no—
337#1916—431no—
338#1870—431no—
339#1869—431no—
340#1831—431no—
341#1798—431no—
342#1798—431no—
343#1767D4311yescharacteristic, complemented
344#1753—431no—
345#1752—431no—
346C2×C43#235211yescharacteristic
347C2×C43#292311yescharacteristic
348C2×C43#292411yescharacteristic
349C2×C43#293211yescharacteristic
350C2×C43#293511yescharacteristic
351C2×C43#299311yescharacteristic
352C2×C43#299511yescharacteristic
353D43—42no—
354D43—81no—
355C22×M16—431no—
356C23×C8—431no—
357C2×C4×D4—431no—
358C2×#117—431no—
359C2×#117—431no—
360#433—864no—
361#424—864no—
362C2×C4⋊C8—431no—
363C2×C4⋊C8—431no—
364C2×C4⋊C8—431no—
365C2×C4⋊C8—431no—
366C2×C4⋊C8C2×D4311yescharacteristic
367C2×C4⋊C8C2×D4311yescharacteristic
368C2×C22⋊C8—431no—
369C2×C22⋊C8—431no—
370C2×C22⋊C8—431no—
371C2×C22⋊C8—431no—
372C2×C22⋊C8—431no—
373C2×C22⋊C8—431no—
374C2×#97—431no—
375C2×#97C2×D4311yescharacteristic
376C2×#97C2×D4311yescharacteristic
377C2×C4×C8—431no—
378#390—431no—
379#390—431no—
380#389—431no—
381#389—431no—
382#388—431no—
383#388—431no—
384#388—431no—
385#388—431no—
386C4×C4⋊C4—431no—
387C4×C22⋊C4—431no—
388C4×C22⋊C4—431no—
389C43C2×D4311yescharacteristic
390#336—431no—
391#336—431no—
392#336—431no—
393#336—431no—
394#336—431no—
395#336—431no—
396#336—431no—
397#336—431no—
398#336C2×D4311yescharacteristic
399#336C2×D4311yescharacteristic
400C43#2275711yescharacteristic, complemented, Sylow
401C22×D4—431no—
402C23×C4—431no—
403C23×C4—431no—
404C2×M16—862no—
405C2×M16—862no—
406C2×M16—1721no—
407C22×C8—431no—
408C22×C8—431no—
409C22×C8—431no—
410C22×C8—431no—
411C22×C8—862no—
412C22×C8—862no—
413C22×C8—1721no—
414C22×C8C22×D4311yescharacteristic
415C22×C8C22×D4311yescharacteristic
416C22×C8C22×D4311yescharacteristic
417C22×C8C22×D4311yescharacteristic
418C4×D4—862no—
419C4×D4—862no—
420#117—862no—
421#117—862no—
422#117—862no—
423#117—862no—
424C2×C4⋊C4—431no—
425C2×C4⋊C4—431no—
426C2×C4⋊C4—431no—
427C2×C4⋊C4—431no—
428C2×C4⋊C4—431no—
429C2×C4⋊C4—431no—
430C2×C4⋊C4—431no—
431C2×C22⋊C4—431no—
432C2×C22⋊C4—431no—
433C2×C22⋊C4—431no—
434C2×C22⋊C4—431no—
435C2×C22⋊C4—431no—
436C2×C22⋊C4—431no—
437C2×C22⋊C4—431no—
438C2×C22⋊C4—431no—
439C2×C22⋊C4—431no—
440C2×C22⋊C4—431no—
441C2×C42—431no—
442C2×C42—431no—
443C2×C42C4×D4311yescharacteristic
444C2×C42C4×D4311yescharacteristic
445C2×C42C4×D4311yescharacteristic
446C2×C42C4×D4311yescharacteristic
447C2×C42C22×D4311yescharacteristic
448C2×C42C22×D4311yescharacteristic
449C2×C42C22×D4311yescharacteristic
450C4⋊C8—22no—
451C4⋊C8—862no—
452C4⋊C8—862no—
453C4⋊C8—862no—
454C4⋊C8—862no—
455C4⋊C8D17214yescomplemented
456C22⋊C8—862no—
457C22⋊C8—862no—
458C22⋊C8—862no—
459C22⋊C8—862no—
460C22⋊C8—1721no—
461C22⋊C8—1721no—
462#97—41no—
463#97—41no—
464#97—862no—
465C4×C8—862no—
466#95—431no—
467#95—431no—
468#95—431no—
469#95—431no—
470#95—431no—
471#95—431no—
472C24—431no—
473C24—431no—
474C2×D4—862no—
475C2×D4—862no—
476C2×D4—1721no—
477C22×C4—431no—
478C22×C4—432no—
479C22×C4—432no—
480C22×C4—431no—
481C22×C4—431no—
482C22×C4—431no—
483C22×C4—431no—
484C22×C4—431no—
485C22×C4—861no—
486C22×C4—861no—
487C22×C4—861no—
488C22×C4—861no—
489C22×C4—861no—
490C22×C4—861no—
491C22×C4—861no—
492C22×C4—861no—
493C22×C4—861no—
494C22×C4—861no—
495C22×C4C2×C4×D4311yescharacteristic
496C22×C4C2×C4×D4311yescharacteristic
497C22×C4C2×C4×D4311yescharacteristic
498C22×C4C2×C4×D4311yescharacteristic
499C22×C4C2×C4×D4311yescharacteristic
500C22×C4C2×C4×D4311yescharacteristic
501C22×C4C23×D4311yescharacteristic
502M16—1724no—
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—861no—
514C2×C8—861no—
515C2×C8—861no—
516C2×C8—861no—
517C2×C8—861no—
518C2×C8—861no—
519C2×C8—861no—
520C2×C8—861no—
521C2×C8—861no—
522C2×C8—861no—
523C2×C8—861no—
524C2×C8—861no—
525C2×C8—1724no—
526C2×C8C2×D17212yes—
527C2×C8C2×D17212yes—
528C4⋊C4—862no—
529C4⋊C4—862no—
530C4⋊C4—862no—
531C4⋊C4—862no—
532C4⋊C4—862no—
533C4⋊C4—862no—
534C4⋊C4—1721no—
535C22⋊C4—862no—
536C22⋊C4—862no—
537C22⋊C4—862no—
538C22⋊C4—862no—
539C22⋊C4—862no—
540C22⋊C4—862no—
541C22⋊C4—1721no—
542C22⋊C4—1721no—
543C22⋊C4—1721no—
544C22⋊C4—1721no—
545C42—22no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—21no—
550C42—41no—
551C42—41no—
552C42—41no—
553C42—861no—
554C42—861no—
555C42—861no—
556C42—861no—
557C42C2×D17212yes—
558C42#1062189812yes—
559C23—432no—
560C23—861no—
561C23—861no—
562C23—861no—
563C23—861no—
564C23—861no—
565C23—861no—
566C23—861no—
567C23—861no—
568C23—861no—
569C23—861no—
570C23—861no—
571C23—861no—
572C23—861no—
573C23C22×C4×D4311yescharacteristic
574D4—1724no—
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—21no—
589C2×C4—21no—
590C2×C4—432no—
591C2×C4—861no—
592C2×C4—861no—
593C2×C4—862no—
594C2×C4—862no—
595C2×C4—862no—
596C2×C4—862no—
597C2×C4—861no—
598C2×C4—861no—
599C2×C4—861no—
600C2×C4—861no—
601C2×C4—861no—
602C2×C4—861no—
603C2×C4—861no—
604C2×C4—861no—
605C2×C4—861no—
606C2×C4—861no—
607C2×C4—861no—
608C2×C4—861no—
609C2×C4—861no—
610C2×C4—861no—
611C2×C4—861no—
612C2×C4—1721no—
613C2×C4—1721no—
614C2×C4—1721no—
615C2×C4—1721no—
616C2×C4C4×D17212yes—
617C2×C4C4×D17212yes—
618C2×C4#1306333312yes—
619C2×C4C22×D17211yescharacteristic
620C2×C4#41×D4311yescharacteristic
621C2×C4#41×D4311yescharacteristic
622C2×C4C2×#1062189811yescharacteristic
623C2×C4#1306337011yescharacteristic
624C2×C4#1306337311yescharacteristic
625C8—22no—
626C8—22no—
627C8—41no—
628C8—41no—
629C8—1721no—
630C8—1721no—
631C8—1721no—
632C8—1721no—
633C22—862no—
634C22—862no—
635C22—862no—
636C22—1721no—
637C22—1721no—
638C22—1721no—
639C22—1721no—
640C22—1721no—
641C22—1721no—
642C22—1721no—
643C22—1721no—
644C22—1721no—
645C22—1721no—
646C22—1721no—
647C22#117×D4311yescharacteristic
648C22C2×C4×D17211yescharacteristic
649C22#1458338011yescharacteristic
650C22C2×#1306333311yescharacteristic
651C22#1458366511yescharacteristic
652C22#1458366511yescharacteristic
653C22#1458366511yescharacteristic
654C4—22no—
655C4—22no—
656C4—22no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—862no—
661C4—1721no—
662C4—1721no—
663C4—1721no—
664C4—1721no—
665C4—1721no—
666C4#1458354411yescharacteristic
667C4#1458356111yescharacteristic
668C4#1458359011yescharacteristic
669C4#1458359911yescharacteristic
670C2—3441no—
671C2—1722no—
672C2#1913752711yescharacteristic
673C2#1914324111yescharacteristic
674C2#1914325411yescharacteristic
675C2#1914331411yescharacteristic
676C2#1914334111yescharacteristic
677C2#1914374011yescharacteristic
678C2#1914376211yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D43
commutator, socleC23×C43C23×C4
FittingC43×#1767C2
prime radicalC22×D172C2×C4
cosocleC22×C4×C43C24
hypercenter#1767D43
hypocenterC43#22757
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #1767

Complements

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

NH ≅ G/Ntype
1. C2×#14582959C2semidirect
2. C2×#14582924C2semidirect
4. #19135208C2semidirect
5. #19135208C2semidirect
6. #19135160C2semidirect
7. #19135153C2semidirect
10. #19134712C2semidirect
11. #19134576C2semidirect
12. #19134576C2semidirect
13. #19134380C2semidirect
14. #19134372C2semidirect
15. C43×#1767C2semidirect
129. C4⋊C8×C43D4semidirect
343. #1767D43semidirect
400. C43#22757semidirect
455. C4⋊C8D172semidirect

Maximal subgroups

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

subgroupindex
C2×#145829592
C2×#145829242
#191370592
#191352082
#191351602
#191351532
#191348912
#191348862
#191347122
#191345762
#191343802
#191343722
C43×#17672
#2275743