Finite Group Databasebeta

← #25062867

Subgroups — #25062867

Order 11008.

1060 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583578C211yesmaximal, characteristic
2#19143626C212yesmaximal, complemented
3#19132963C212yesmaximal, complemented
4#19132957C212yesmaximal, complemented
5#19132941C212yesmaximal, complemented
6#19132933C211yesmaximal, characteristic, complemented
7#19132926C211yesmaximal, characteristic, complemented
8#19132920C211yesmaximal, characteristic, complemented
9#19132906C211yesmaximal, characteristic, complemented
10#323×D43C211yesmaximal, characteristic, complemented
11C43×#1459C211yesmaximal, characteristic, complemented
12#14583578—22no—
13#14583578—22no—
14#14583578—22no—
15#14583578—22no—
16C2×#13063320C2211yescharacteristic
17C2×#13063319C411yescharacteristic
18C2×#13063311C411yescharacteristic
19C2×#13063308C2211yescharacteristic
20C2×#13063307C411yescharacteristic
21C2×#13063306C411yescharacteristic
22C2×#13063304C411yescharacteristic
23C2×#13063303C2211yescharacteristic
24C2×#13063293C411yescharacteristic
25C2×C4×C22⋊D43C2211yescharacteristic
26C2×#13063282C411yescharacteristic
27C2×#13063281C2211yescharacteristic
28C22×(C2×D43)⋊C4C411yescharacteristic
29C2×C22⋊C4×D43C2211yescharacteristic
30#14582974—22no—
31#14582973—22no—
32#14582970—22no—
33C8×C22⋊D43—22no—
34#14582953C2212yescomplemented
35#14582949C2212yescomplemented
36#14582863C2212yescomplemented
37#14582861C2212yes—
38C22⋊C8×D43C2212yes—
39#14582625C2212yescomplemented
40#14582624C2212yescomplemented
41#14582624C2212yescomplemented
42#14582623C2211yescharacteristic
43#14582623C2211yescharacteristic
44#14582622C2212yes—
45#14582622C2212yes—
46C2×C4×D4×C43C2211yescharacteristic
47C2×C22⋊C8×C43C2212yescomplemented
48C43×#324C2212yescomplemented
49C43×#323C2211yescharacteristic
50C43×#323C2211yescharacteristic
51C24×D43C2×C411yescharacteristic
52C22×Dic86C2×C411yescharacteristic
53C22×C22⋊D43C2×C411yescharacteristic
54C22×C22⋊D43C2×C411yescharacteristic
55C23×Dic43C2×C411yescharacteristic
56C22×C4×D43C2×C411yescharacteristic
57C22×C4×D43C2311yescharacteristic
58C2×#10621877—22no—
59C2×#10621872—22no—
60C2×C8×D43—22no—
61#13063320—22no—
62#13063320—22no—
63#13063319—22no—
64#13063319—22no—
65#13063311—22no—
66#13063311—22no—
67#13063308—22no—
68#13063308—22no—
69#13063307—22no—
70#13063307—22no—
71#13063306—22no—
72#13063306—22no—
73#13063304—22no—
74#13063304—22no—
75#13063303—22no—
76#13063303—22no—
77#13063293—22no—
78#13063293—22no—
79C4×C22⋊D43D412yes—
80C4×C22⋊D43D412yes—
81C4×C22⋊D43D412yes—
82C4×C22⋊D43D412yes—
83#13063282—21no—
84#13063282—21no—
85#13063282—21no—
86#13063282—21no—
87#13063281—22no—
88#13063281—22no—
89C2×C4⋊Dic43C2×C411yescharacteristic
90C2×Dic43⋊C4C2×C411yescharacteristic
91C2×Dic43⋊C4C2×C411yescharacteristic
92C2×Dic43⋊C4C2×C411yescharacteristic
93C2×Dic43⋊C4C2×C411yescharacteristic
94C2×Dic43⋊C4C2×C411yescharacteristic
95C2×Dic43⋊C4C2311yescharacteristic
96C2×C22⋊Dic43C2×C411yescharacteristic
97C2×C22⋊Dic43C2×C411yescharacteristic
98C2×C22⋊Dic43C2×C411yescharacteristic
99C2×C22⋊Dic43C2×C411yescharacteristic
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4—21no—
104C2×(C2×D43)⋊C4C2×C411yescharacteristic
105C2×(C2×D43)⋊C4C2×C411yescharacteristic
106C2×(C2×D43)⋊C4C2×C411yescharacteristic
107C2×(C2×D43)⋊C4C2×C411yescharacteristic
108C2×(C2×D43)⋊C4C2×C411yescharacteristic
109C2×(C2×D43)⋊C4C2×C411yescharacteristic
110C2×(C2×D43)⋊C4C2×C411yescharacteristic
111C2×(C2×D43)⋊C4C2311yescharacteristic
112C22⋊C4×D43—22no—
113C22⋊C4×D43—22no—
114C2×C4×Dic43C2×C411yescharacteristic
115C2×C4×Dic43C2311yescharacteristic
116Dic43⋊C8—22no—
117Dic43⋊C8—22no—
118C22⋊(C43⋊C8)—22no—
119C22⋊(C43⋊C8)C2312yes—
120C22⋊(C43⋊C8)C2312yes—
121(C2×D43)⋊C8—22no—
122(C2×D43)⋊C8—22no—
123#13063235—22no—
124C8×Dic43—22no—
125C22×D4×C43C2×C411yescharacteristic
126C23×C4×C43C2×C411yescharacteristic
127C23×C4×C43C2311yescharacteristic
128C22×C8×C43—22no—
129C4×D4×C43—22no—
130C4×D4×C43—22no—
131C2×C4⋊C4×C43C2311yescharacteristic
132C2×C22⋊C4×C43C2×C411yescharacteristic
133C2×C22⋊C4×C43C2311yescharacteristic
134C2×C42×C43C2×C411yescharacteristic
135C22⋊C8×C43—22no—
136C22⋊C8×C43C2312yes—
137C22⋊C8×C43C2312yes—
138C24×C43C22×C411yescharacteristic
139C24×C43C22×C411yescharacteristic
140C23×D43—22no—
141C23×D43—21no—
142C23×D43—21no—
143C23×D43—41no—
144C23×D43—42no—
145C23×D43—81no—
146C23×D43C22×C411yescharacteristic
147C23×D43C22×C411yescharacteristic
148C2×D4×C43—22no—
149C2×D4×C43—22no—
150C2×D4×C43—41no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—81no—
154C22×C4×C43—81no—
155C22×C4×C43C22×C411yescharacteristic
156C22×C4×C43C22×C411yescharacteristic
157C22×C4×C43C22×C411yescharacteristic
158C22×C4×C43C22×C411yescharacteristic
159C22×C4×C43C2×D412yes—
160C22×C4×C43C2×D412yes—
161C22×C4×C43C2411yescharacteristic
162C2×C22⋊D43—22no—
163C2×C22⋊D43—42no—
164C2×C22⋊D43—81no—
165C2×C22⋊D43C22⋊C412yes—
166C2×C22⋊D43C22⋊C412yes—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—22no—
170C22×Dic43—41no—
171C22×Dic43C22×C411yescharacteristic
172C22×Dic43C22×C411yescharacteristic
173C22×Dic43C22×C411yescharacteristic
174C22×Dic43C22×C411yescharacteristic
175C22×Dic43C22×C411yescharacteristic
176C22×Dic43C22×C411yescharacteristic
177C2×C4×D43—21no—
178C2×C4×D43—21no—
179C2×C4×D43—42no—
180C2×C4×D43—81no—
181C2×C4×D43C2×D412yes—
182C2×C4×D43C2×D412yes—
183C2×Dic86—22no—
184C2×Dic86—81no—
185C2×C8×C43—22no—
186C2×C8×C43—22no—
187C2×C8×C43—82no—
188C4⋊C4×C43—22no—
189C22⋊C4×C43—22no—
190C22⋊C4×C43—22no—
191C42×C43—21no—
192C42×C43—21no—
193C22⋊Dic43—22no—
194C22⋊Dic43—22no—
195C22⋊Dic43—22no—
196C22⋊Dic43C22⋊C412yes—
197C22⋊Dic43C22⋊C412yes—
198(C2×D43)⋊C4—21no—
199(C2×D43)⋊C4—21no—
200(C2×D43)⋊C4—22no—
201(C2×D43)⋊C4—22no—
202(C2×D43)⋊C4—21no—
203(C2×D43)⋊C4—21no—
204(C2×D43)⋊C4—22no—
205(C2×D43)⋊C4—21no—
206(C2×D43)⋊C4—21no—
207(C2×D43)⋊C4—21no—
208(C2×D43)⋊C4—21no—
209(C2×D43)⋊C4C22⋊C411yescharacteristic
210(C2×D43)⋊C4C22⋊C411yescharacteristic
211(C2×D43)⋊C4C22⋊C411yescharacteristic
212(C2×D43)⋊C4C22⋊C411yescharacteristic
213C4⋊Dic43—22no—
214Dic43⋊C4—21no—
215Dic43⋊C4—21no—
216Dic43⋊C4—22no—
217Dic43⋊C4—22no—
218Dic43⋊C4—21no—
219Dic43⋊C4—21no—
220Dic43⋊C4—22no—
221Dic43⋊C4C22⋊C412yes—
222Dic43⋊C4C22⋊C412yes—
223C4×Dic43—21no—
224C4×Dic43—21no—
225C4×Dic43C2×D412yes—
226C4×Dic43C2×D412yes—
227#10621877—82no—
228C2×C43⋊C8—22no—
229C2×C43⋊C8—22no—
230#10621872—82no—
231C8×D43—82no—
232C23×C43—21no—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43C2×C22⋊C412yes—
241C23×C43#13112yes—
242C23×C43C23×C411yescharacteristic
243C22×D43—21no—
244C22×D43—21no—
245C22×D43—22no—
246C22×D43—21no—
247C22×D43—21no—
248C22×D43—21no—
249C22×D43—41no—
250C22×D43—42no—
251C22×D43—42no—
252C22×D43—42no—
253C22×D43—42no—
254C22×D43—41no—
255C22×D43—41no—
256C22×D43—81no—
257C22×D43—81no—
258C22×D43—84no—
259C22×D43—84no—
260C22×D43C2×C22⋊C411yescharacteristic
261C22×D43C2×C22⋊C411yescharacteristic
262D4×C43—44no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—42no—
269C2×C4×C43—42no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—81no—
275C2×C4×C43—81no—
276C2×C4×C43C2×C22⋊C411yescharacteristic
277C2×C4×C43C2×C22⋊C411yescharacteristic
278C2×C4×C43C22×D412yes—
279C22⋊D43—24no—
280C22⋊D43—42no—
281C22⋊D43—82no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—42no—
292C2×Dic43—42no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43C2×C22⋊C411yescharacteristic
296C2×Dic43C2×C22⋊C411yescharacteristic
297C2×Dic43C2×C22⋊C412yes—
298C2×Dic43C2×C22⋊C412yes—
299C4×D43—42no—
300C4×D43—42no—
301C4×D43—42no—
302C4×D43—42no—
303Dic86—82no—
304C8×C43—42no—
305C8×C43—42no—
306C43⋊C8—42no—
307C43⋊C8—42no—
308#17422—431nomaximal, Sylow
309C22×C43—21no—
310C22×C43—21no—
311C22×C43—22no—
312C22×C43—22no—
313C22×C43—22no—
314C22×C43—22no—
315C22×C43—42no—
316C22×C43—42no—
317C22×C43—41no—
318C22×C43—41no—
319C22×C43—81no—
320C22×C43—81no—
321C22×C43C22×C22⋊C411yescharacteristic
322C22×C43C2×#13111yescharacteristic
323C22×C43#56811yescharacteristic
324C2×D43—21no—
325C2×D43—21no—
326C2×D43—21no—
327C2×D43—21no—
328C2×D43—21no—
329C2×D43—42no—
330C2×D43—42no—
331C2×D43—41no—
332C2×D43—41no—
333C2×D43—41no—
334C2×D43—84no—
335C2×D43—84no—
336C2×D43—81no—
337C2×D43—81no—
338C2×D43#41312yes—
339C4×C43—22no—
340C4×C43—21no—
341C4×C43—21no—
342C4×C43—41no—
343C4×C43—41no—
344C4×C43—41no—
345Dic43—21no—
346Dic43—21no—
347Dic43—22no—
348Dic43—22no—
349Dic43—41no—
350Dic43—41no—
351Dic43—41no—
352C2×#551—431no—
353#2974—432no—
354#1473—432no—
355#1472—432no—
356#1468—432no—
357#1465—431no—
358#1464—431no—
359#1462—431no—
360#1459D4311yescharacteristic, complemented
361#1458—431no—
362C2×#323—431no—
363C2×C43—21no—
364C2×C43—21no—
365C2×C43—42no—
366C2×C43—42no—
367C2×C43#288011yescharacteristic
368C2×C43#288311yescharacteristic
369C2×C43C2×#41311yescharacteristic
370D43—22no—
371D43—41no—
372D43—81no—
373#551—862no—
374#551—862no—
375#551—862no—
376#551—862no—
377C2×#126—431no—
378C2×#126—431no—
379C2×#124—431no—
380C2×#123—431no—
381C2×#123—431no—
382C2×#123—431no—
383C2×C22⋊Q8—431no—
384C2×C22⋊Q8—431no—
385C2×#120—431no—
386C2×C4×D4—431no—
387C2×C4×D4C2×D4311yescharacteristic
388C2×#117—431no—
389C2×#117—431no—
390C22×C22⋊C4—431no—
391C22×C22⋊C4—431no—
392#436—862no—
393#435—862no—
394#435—862no—
395C8×D4—862no—
396#432—432no—
397#431—432no—
398#407—432no—
399#407—432no—
400C2×C22⋊C8—432no—
401C2×C22⋊C8C2×D4312yescomplemented
402#324—432no—
403#324—432no—
404#324—432no—
405#324C2×D4312yescomplemented
406#323—431no—
407#323—431no—
408#323—432no—
409#323—432no—
410#323C2×D4311yescharacteristic
411#323C2×D4311yescharacteristic
412C43#1742211yescharacteristic, complemented, Sylow
413C25—431no—
414C22×Q8—431no—
415C22×D4—431no—
416C22×D4—431no—
417C22×D4C4×D4311yescharacteristic
418C23×C4—431no—
419C23×C4—431no—
420C23×C4—431no—
421C23×C4C4×D4311yescharacteristic
422C23×C4C22×D4311yescharacteristic
423C2×M16—862no—
424C2×M16—862no—
425C22×C8—22no—
426C22×C8—862no—
427#126—862no—
428#126—862no—
429#126—862no—
430#126—862no—
431#124—862no—
432#124—862no—
433#123—862no—
434#123—862no—
435#123—862no—
436#123—862no—
437#123—862no—
438#123—862no—
439C22⋊Q8—862no—
440C22⋊Q8—862no—
441C22⋊Q8—862no—
442C22⋊Q8—862no—
443#120—862no—
444#120—862no—
445C4×D4—22no—
446C4×D4—22no—
447C4×D4—432no—
448C4×D4—432no—
449C4×D4—432no—
450C4×D4—432no—
451#117—861no—
452#117—861no—
453#117—861no—
454#117—861no—
455#117—862no—
456#117—862no—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—431no—
463C2×C4⋊C4—431no—
464C2×C4⋊C4C22×D4311yescharacteristic
465C2×C22⋊C4—431no—
466C2×C22⋊C4—431no—
467C2×C22⋊C4—431no—
468C2×C22⋊C4—431no—
469C2×C22⋊C4—431no—
470C2×C22⋊C4—431no—
471C2×C22⋊C4—431no—
472C2×C22⋊C4—431no—
473C2×C22⋊C4—431no—
474C2×C22⋊C4—431no—
475C2×C22⋊C4—431no—
476C2×C22⋊C4—431no—
477C2×C22⋊C4—862no—
478C2×C22⋊C4—862no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4—861no—
481C2×C22⋊C4—861no—
482C2×C22⋊C4—861no—
483C2×C22⋊C4C4×D4311yescharacteristic
484C2×C22⋊C4C22×D4311yescharacteristic
485C2×C42—431no—
486C2×C42—431no—
487C2×C42C4×D4311yescharacteristic
488C4⋊C8—862no—
489C4⋊C8—862no—
490C22⋊C8—22no—
491C22⋊C8—432no—
492C22⋊C8—432no—
493C22⋊C8—862no—
494C22⋊C8—862no—
495C22⋊C8—862no—
496C22⋊C8C22×D4312yes—
497C22⋊C8C22×D4312yes—
498#97—862no—
499C4×C8—862no—
500C24—431no—
501C24—431no—
502C24—861no—
503C24—861no—
504C24—862no—
505C24—3441no—
506C24—1721no—
507C24—1722no—
508C24C2×C4×D4311yescharacteristic
509C24C2×C4×D4311yescharacteristic
510C2×Q8—862no—
511C2×Q8—3441no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—41no—
515C2×D4—432no—
516C2×D4—432no—
517C2×D4—862no—
518C2×D4—3441no—
519C2×D4—1722no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—81no—
523C22×C4—81no—
524C22×C4—431no—
525C22×C4—431no—
526C22×C4—431no—
527C22×C4—432no—
528C22×C4—432no—
529C22×C4—431no—
530C22×C4—431no—
531C22×C4—431no—
532C22×C4—861no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—862no—
537C22×C4—3441no—
538C22×C4—1722no—
539C22×C4—1721no—
540C22×C4C2×C4×D4311yescharacteristic
541C22×C4C2×C4×D4311yescharacteristic
542C22×C4C2×C4×D4311yescharacteristic
543C22×C4C2×C4×D4311yescharacteristic
544C22×C4D4×D4312yes—
545C22×C4D4×D4312yes—
546C22×C4C23×D4311yescharacteristic
547M16—3442no—
548M16—3442no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—82no—
552C2×C8—862no—
553C2×C8—862no—
554C2×C8—3442no—
555C4⋊C4—22no—
556C4⋊C4—432no—
557C4⋊C4—432no—
558C4⋊C4—862no—
559C4⋊C4—861no—
560C4⋊C4—861no—
561C4⋊C4—862no—
562C4⋊C4—862no—
563C4⋊C4—861no—
564C4⋊C4—861no—
565C4⋊C4—862no—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C22⋊C4—432no—
569C22⋊C4—432no—
570C22⋊C4—431no—
571C22⋊C4—431no—
572C22⋊C4—431no—
573C22⋊C4—431no—
574C22⋊C4—862no—
575C22⋊C4—861no—
576C22⋊C4—861no—
577C22⋊C4—862no—
578C22⋊C4—861no—
579C22⋊C4—861no—
580C22⋊C4—861no—
581C22⋊C4—861no—
582C22⋊C4—862no—
583C22⋊C4—862no—
584C22⋊C4—862no—
585C22⋊C4—861no—
586C22⋊C4—861no—
587C22⋊C4—862no—
588C42—21no—
589C42—21no—
590C42—432no—
591C42—432no—
592C42—861no—
593C42—861no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—431no—
603C23—431no—
604C23—862no—
605C23—861no—
606C23—861no—
607C23—861no—
608C23—861no—
609C23—861no—
610C23—3441no—
611C23—3441no—
612C23—3444no—
613C23—3444no—
614C23—1721no—
615C23—1722no—
616C23—1722no—
617C23—1721no—
618C23—1721no—
619C23—1722no—
620C23—1722no—
621C23C22⋊C4×D4312yes—
622C23#1306333112yes—
623C23C22×C4×D4311yescharacteristic
624Q8—3442no—
625D4—44no—
626D4—864no—
627D4—3442no—
628D4—1722no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—81no—
641C2×C4—81no—
642C2×C4—431no—
643C2×C4—431no—
644C2×C4—432no—
645C2×C4—432no—
646C2×C4—861no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—861no—
652C2×C4—861no—
653C2×C4—1722no—
654C2×C4—1722no—
655C2×C4—1722no—
656C2×C4—1722no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1722no—
660C2×C4—1722no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4C22⋊C4×D4311yescharacteristic
664C2×C4C22⋊C4×D4311yescharacteristic
665C2×C4C2×D4×D4312yes—
666C8—42no—
667C8—42no—
668C8—1722no—
669C8—1722no—
670C22—21no—
671C22—21no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—42no—
677C22—42no—
678C22—41no—
679C22—41no—
680C22—81no—
681C22—81no—
682C22—432no—
683C22—861no—
684C22—861no—
685C22—861no—
686C22—861no—
687C22—861no—
688C22—3441no—
689C22—3441no—
690C22—3444no—
691C22—3444no—
692C22—1722no—
693C22—1722no—
694C22—1721no—
695C22—1721no—
696C22—1721no—
697C22C2×C22⋊C4×D4311yescharacteristic
698C22C2×#1306333111yescharacteristic
699C22#1458366511yescharacteristic
700C4—22no—
701C4—21no—
702C4—21no—
703C4—41no—
704C4—41no—
705C4—41no—
706C4—861no—
707C4—861no—
708C4—862no—
709C4—862no—
710C4—1721no—
711C4—1721no—
712C4—1721no—
713C2—21no—
714C2—21no—
715C2—42no—
716C2—42no—
717C2—862no—
718C2—3441no—
719C2—1721no—
720C2#1914304111yescharacteristic
721C2#1914305311yescharacteristic
722C2#413×D4311yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D43
commutatorC23×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1459C2
socleC22×C43C22×C22⋊C4
prime radicalC2×#13063293C4
cosocleC22×C4×C43C24
hypercenter#1459D43
hypocenterC43#17422
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1459

Complements

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

NH ≅ G/Ntype
2. #19143626C2semidirect
3. #19132963C2semidirect
4. #19132957C2semidirect
5. #19132941C2semidirect
6. #19132933C2semidirect
7. #19132926C2semidirect
8. #19132920C2semidirect
9. #19132906C2semidirect
10. #323×D43C2semidirect
11. C43×#1459C2semidirect
34. #14582953C22semidirect
35. #14582949C22semidirect
36. #14582863C22semidirect
39. #14582625C22semidirect
40. #14582624C22semidirect
41. #14582624C22semidirect
47. C2×C22⋊C8×C43C22semidirect
48. C43×#324C22semidirect
360. #1459D43semidirect
401. C2×C22⋊C8C2×D43semidirect
405. #324C2×D43semidirect
412. C43#17422semidirect

Maximal subgroups

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

subgroupindex
C2×#145835782
#191436262
#191329632
#191329572
#191329412
#191329332
#191329262
#191329202
#191329062
#323×D432
C43×#14592
#1742243