Finite Group Databasebeta

← D43×#1458 #25062387

Subgroups — D43×#1458 #25062387

Order 11008.

1390 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#117×D43C211yesmaximal, characteristic
2#431×D43C212yesmaximal, complemented
3#19132909C211yesmaximal, characteristic, complemented
4#19132908C212yesmaximal, complemented
5#19132907C212yesmaximal, complemented
6#19132906C212yesmaximal, complemented
7#324×D43C212yesmaximal, complemented
8#323×D43C212yesmaximal
9C43×#1458C211yesmaximal, characteristic, complemented
10C23×C4×D43C411yescharacteristic
11C2×#13063284C411yescharacteristic
12C2×#13063283C411yescharacteristic
13C2×#13063283C2211yescharacteristic
14C2×#13063282C411yescharacteristic
15C2×#13063282C2211yescharacteristic
16C2×#13063281C411yescharacteristic
17C2×#13063281C2211yescharacteristic
18#117×D43—22no—
19#117×D43—22no—
20#117×D43—22no—
21#117×D43—22no—
22C2×C4⋊C4×D43C411yescharacteristic
23C2×C4⋊C4×D43C2211yescharacteristic
24C2×C22⋊C4×D43C411yescharacteristic
25C2×C22⋊C4×D43C2211yescharacteristic
26C2×C42×D43C411yescharacteristic
27C2×C42×D43C2211yescharacteristic
28#14582952C2212yescomplemented
29#14582951—22no—
30#14582950—22no—
31#14582949C2214yescomplemented
32C4⋊C8×D43—22no—
33C22⋊C8×D43C2214yes—
34C4×C8×D43—22no—
35#14582625C2212yescomplemented
36#14582624C2214yescomplemented
37#14582623C2212yes—
38#14582622C2214yes—
39C2×#117×C43C2211yescharacteristic
40C43×#431C2212yescomplemented
41C43×#324C2212yescomplemented
42C43×#323C2212yes—
43C24×D43C2×C411yescharacteristic
44C23×Dic43C2×C411yescharacteristic
45C22×C4×D43—21no—
46C22×C4×D43—21no—
47C22×C4×D43—21no—
48C22×C4×D43—21no—
49C22×C4×D43—24no—
50C22×C4×D43C818yescomplemented
51C22×C4×D43C2×C411yescharacteristic
52C22×C4×D43C2×C411yescharacteristic
53C22×C4×D43C2×C411yescharacteristic
54C22×C4×D43C2×C411yescharacteristic
55C22×C4×D43C2×C411yescharacteristic
56C22×C4×D43C2×C411yescharacteristic
57C22×C4×D43C2×C411yescharacteristic
58C22×C4×D43C2311yescharacteristic
59C2×C8×D43—24no—
60#13063284—22no—
61#13063284—22no—
62#13063283—22no—
63#13063283—22no—
64#13063283—22no—
65#13063283—22no—
66#13063282—22no—
67#13063282—22no—
68#13063282—22no—
69#13063282—22no—
70#13063281—22no—
71#13063281—22no—
72#13063281—22no—
73#13063281—22no—
74C2×C4⋊Dic43C2×C411yescharacteristic
75C2×C4⋊Dic43C2×C411yescharacteristic
76C2×Dic43⋊C4C2×C411yescharacteristic
77C2×Dic43⋊C4C2×C411yescharacteristic
78C2×Dic43⋊C4C2×C411yescharacteristic
79C2×Dic43⋊C4C2311yescharacteristic
80C4⋊C4×D43—22no—
81C4⋊C4×D43—22no—
82C4⋊C4×D43—22no—
83C4⋊C4×D43—22no—
84C2×C22⋊Dic43C2×C411yescharacteristic
85C2×C22⋊Dic43C2×C411yescharacteristic
86C2×(C2×D43)⋊C4C2×C411yescharacteristic
87C2×(C2×D43)⋊C4C2×C411yescharacteristic
88C2×(C2×D43)⋊C4C2×C411yescharacteristic
89C2×(C2×D43)⋊C4C2311yescharacteristic
90C22⋊C4×D43—22no—
91C22⋊C4×D43—22no—
92C22⋊C4×D43—22no—
93C22⋊C4×D43—22no—
94C2×C4×Dic43C2×C411yescharacteristic
95C2×C4×Dic43C2×C411yescharacteristic
96C2×C4×Dic43C2×C411yescharacteristic
97C2×C4×Dic43C2×C411yescharacteristic
98C2×C4×Dic43C2×C411yescharacteristic
99C2×C4×Dic43C2311yescharacteristic
100C42×D43—21no—
101C42×D43—21no—
102C42×D43—21no—
103C42×D43—21no—
104C42×D43D412yes—
105C42×D43D412yes—
106C42×D43D412yes—
107C42×D43D412yes—
108C4⋊(C43⋊C8)—22no—
109Dic43⋊C8—24no—
110C22⋊(C43⋊C8)C2314yes—
111(C2×D43)⋊C8—24no—
112C4×C43⋊C8—22no—
113C8×Dic43—24no—
114C23×C4×C43C2×C411yescharacteristic
115#117×C43—22no—
116#117×C43—22no—
117C2×C4⋊C4×C43C2×C411yescharacteristic
118C2×C4⋊C4×C43C2311yescharacteristic
119C2×C22⋊C4×C43C2×C411yescharacteristic
120C2×C22⋊C4×C43C2311yescharacteristic
121C2×C42×C43C2×C411yescharacteristic
122C2×C42×C43C2311yescharacteristic
123C4⋊C8×C43—22no—
124C22⋊C8×C43C2314yes—
125C4×C8×C43—22no—
126C24×C43C22×C411yescharacteristic
127C23×D43—21no—
128C23×D43—21no—
129C23×D43—22no—
130C23×D43—42no—
131C23×D43—42no—
132C23×D43C2×C814yes—
133C23×D43C22×C411yescharacteristic
134C23×D43C22×C411yescharacteristic
135C22×C4×C43—21no—
136C22×C4×C43—21no—
137C22×C4×C43—22no—
138C22×C4×C43C2×C814yescomplemented
139C22×C4×C43C22×C411yescharacteristic
140C22×C4×C43C22×C411yescharacteristic
141C22×C4×C43C22×C411yescharacteristic
142C22×C4×C43C22×C411yescharacteristic
143C22×C4×C43C22×C411yescharacteristic
144C22×C4×C43C2411yescharacteristic
145C22×Dic43—21no—
146C22×Dic43—21no—
147C22×Dic43—22no—
148C22×Dic43C2×C814yescomplemented
149C22×Dic43C22×C411yescharacteristic
150C22×Dic43C22×C411yescharacteristic
151C22×Dic43C22×C411yescharacteristic
152C22×Dic43C22×C411yescharacteristic
153C22×Dic43C22×C411yescharacteristic
154C22×Dic43C22×C411yescharacteristic
155C2×C4×D43—21no—
156C2×C4×D43—21no—
157C2×C4×D43—22no—
158C2×C4×D43—21no—
159C2×C4×D43—21no—
160C2×C4×D43—22no—
161C2×C4×D43—28no—
162C2×C4×D43—28no—
163C2×C4×D43—28no—
164C2×C4×D43—28no—
165C2×C4×D43—21no—
166C2×C4×D43—21no—
167C2×C4×D43—21no—
168C2×C4×D43—21no—
169C2×C4×D43—21no—
170C2×C4×D43—21no—
171C2×C4×D43—22no—
172C2×C4×D43—42no—
173C2×C4×D43—42no—
174C2×C4×D43—42no—
175C2×C4×D43—42no—
176C2×C4×D43C22⋊C412yes—
177C2×C4×D43C22⋊C412yes—
178C2×C4×D43C22⋊C411yescharacteristic
179C2×C4×D43C22⋊C411yescharacteristic
180C2×C4×D43C22⋊C411yescharacteristic
181C2×C4×D43C22⋊C411yescharacteristic
182C2×C4×D43C2×C814yes—
183C2×C4×D43C2×C814yes—
184C2×C4×D43C2×C814yescomplemented
185C2×C4×D43C2×C814yescomplemented
186C2×C4×D43M1614yes—
187C2×C4×D43C2×D412yes—
188C2×C4×D43C2×D412yes—
189C2×C8×C43—24no—
190C4⋊C4×C43—22no—
191C4⋊C4×C43—22no—
192C22⋊C4×C43—22no—
193C22⋊C4×C43—22no—
194C42×C43—21no—
195C42×C43—21no—
196C42×C43C2×D412yes—
197C42×C43C2×D412yes—
198C22⋊Dic43—22no—
199C22⋊Dic43—22no—
200(C2×D43)⋊C4—22no—
201(C2×D43)⋊C4—22no—
202(C2×D43)⋊C4—22no—
203(C2×D43)⋊C4—22no—
204C4⋊Dic43—22no—
205C4⋊Dic43—22no—
206Dic43⋊C4—22no—
207Dic43⋊C4—22no—
208Dic43⋊C4—22no—
209Dic43⋊C4—22no—
210C4×Dic43—21no—
211C4×Dic43—21no—
212C4×Dic43—21no—
213C4×Dic43—21no—
214C4×Dic43—21no—
215C4×Dic43—21no—
216C4×Dic43C22⋊C412yes—
217C4×Dic43C22⋊C412yes—
218C4×Dic43C22⋊C412yes—
219C4×Dic43C22⋊C412yes—
220C4×Dic43C2×D412yes—
221C4×Dic43C2×D412yes—
222C2×C43⋊C8—24no—
223C8×D43—48no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—41no—
227C23×C43—41no—
228C23×C43C22×C812yes—
229C23×C43C23×C411yescharacteristic
230C22×D43—22no—
231C22×D43—22no—
232C22×D43—21no—
233C22×D43—21no—
234C22×D43—24no—
235C22×D43—24no—
236C22×D43—42no—
237C22×D43—42no—
238C22×D43—48no—
239C22×D43—48no—
240C22×D43—42no—
241C22×D43—42no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43C2×C22⋊C411yescharacteristic
245C22×D43C2×C22⋊C411yescharacteristic
246C22×D43C22×C812yes—
247C22×D43C22×C812yes—
248C22×D43C2×M1612yes—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—24no—
252C2×C4×C43—24no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43C2×C22⋊C412yes—
260C2×C4×C43C2×C22⋊C411yescharacteristic
261C2×C4×C43C2×C22⋊C411yescharacteristic
262C2×C4×C43C22×C812yes—
263C2×C4×C43C22×C812yes—
264C2×C4×C43C2×M1612yes—
265C2×C4×C43C22×D412yes—
266C2×Dic43—21no—
267C2×Dic43—21no—
268C2×Dic43—24no—
269C2×Dic43—24no—
270C2×Dic43—21no—
271C2×Dic43—21no—
272C2×Dic43—41no—
273C2×Dic43—41no—
274C2×Dic43—41no—
275C2×Dic43—41no—
276C2×Dic43C2×C22⋊C412yes—
277C2×Dic43C2×C22⋊C412yes—
278C2×Dic43C2×C22⋊C411yescharacteristic
279C2×Dic43C2×C22⋊C411yescharacteristic
280C2×Dic43C22×C812yes—
281C2×Dic43C22×C812yes—
282C2×Dic43C2×M1612yes—
283C4×D43—24no—
284C4×D43—24no—
285C4×D43—24no—
286C4×D43—24no—
287C4×D43—24no—
288C4×D43—24no—
289C4×D43—24no—
290C4×D43—24no—
291C4×D43—42no—
292C4×D43—42no—
293C4×D43—42no—
294C4×D43—42no—
295C4×D43—42no—
296C4×D43—42no—
297C4×D43C22⋊C814yes—
298C4×D43C22⋊C814yes—
299C4×D43C22⋊C814yes—
300C4×D43C22⋊C814yes—
301C8×C43—44no—
302C43⋊C8—44no—
303C2×#1458—431nomaximal, Sylow
304C22×C43—21no—
305C22×C43—21no—
306C22×C43—22no—
307C22×C43—42no—
308C22×C43—42no—
309C22×C43—41no—
310C22×C43—41no—
311C22×C43C22×C22⋊C411yescharacteristic
312C22×C43C23×C811yescharacteristic
313C22×C43C22×M1611yescharacteristic
314C2×D43—21no—
315C2×D43—21no—
316C2×D43—24no—
317C2×D43—24no—
318C2×D43—22no—
319C2×D43—48no—
320C2×D43—42no—
321C2×D43—41no—
322C2×D43—41no—
323C2×D43—48no—
324C2×D43—42no—
325C2×D43C2×C22⋊C812yes—
326C2×D43C2×C22⋊C812yes—
327C2×D43#41012yes—
328C2×D43#41312yes—
329C4×C43—22no—
330C4×C43—22no—
331C4×C43—22no—
332C4×C43—41no—
333C4×C43—41no—
334C4×C43C2×C22⋊C812yes—
335C4×C43C2×C22⋊C812yes—
336Dic43—22no—
337Dic43—22no—
338Dic43—22no—
339Dic43—41no—
340Dic43—41no—
341Dic43C2×C22⋊C812yes—
342Dic43C2×C22⋊C812yes—
343C22×#117—431no—
344C2×#431—432no—
345#1458—432no—
346#1458—432no—
347#1458—432no—
348#1458—431no—
349#1458D4311yescharacteristic, direct product factor
350C2×#324—432no—
351C2×#323—432no—
352C2×C43—21no—
353C2×C43—21no—
354C2×C43—42no—
355C2×C43C22×C22⋊C811yescharacteristic
356C2×C43C2×#41011yescharacteristic
357C2×C43C2×#41311yescharacteristic
358D43—22no—
359D43—42no—
360D43#145814yesdirect product factor
361C24×C4—431no—
362C2×#117—431no—
363C2×#117—431no—
364C2×#117—431no—
365C2×#117—431no—
366C2×#117—431no—
367C2×#117—431no—
368C2×#117—431no—
369C2×#117—862no—
370C2×#117—862no—
371C2×#117—862no—
372C2×#117—862no—
373C2×#117C2×D4311yescharacteristic
374C22×C4⋊C4—431no—
375C22×C4⋊C4—431no—
376C22×C22⋊C4—431no—
377C22×C22⋊C4—431no—
378C22×C42—431no—
379C22×C42—431no—
380#431—432no—
381#431—434no—
382#431—862no—
383#431—862no—
384#431C2×D4312yescomplemented
385C2×C4⋊C8—862no—
386C2×C22⋊C8—434no—
387C2×C4×C8—862no—
388#324—432no—
389#324—434no—
390#324C2×D4312yescomplemented
391#323—432no—
392#323—434no—
393#323C2×D4312yes—
394C43C2×#145811yescharacteristic, complemented, Sylow
395C25—431no—
396C23×C4—431no—
397C23×C4—431no—
398C23×C4—438no—
399C23×C4—431no—
400C23×C4—431no—
401C23×C4—431no—
402C23×C4—431no—
403C23×C4—431no—
404C23×C4—431no—
405C23×C4—431no—
406C23×C4—861no—
407C23×C4—861no—
408C23×C4—861no—
409C23×C4—861no—
410C23×C4—864no—
411C23×C4C4×D4311yescharacteristic
412C22×C8—864no—
413#117—22no—
414#117—22no—
415#117—862no—
416#117—862no—
417#117—862no—
418#117—862no—
419#117—862no—
420#117—862no—
421#117—862no—
422#117—862no—
423#117—862no—
424#117—862no—
425#117—862no—
426#117—862no—
427#117—862no—
428#117—862no—
429C2×C4⋊C4—431no—
430C2×C4⋊C4—431no—
431C2×C4⋊C4—431no—
432C2×C4⋊C4—431no—
433C2×C4⋊C4—431no—
434C2×C4⋊C4—431no—
435C2×C4⋊C4—862no—
436C2×C4⋊C4—862no—
437C2×C4⋊C4—862no—
438C2×C4⋊C4—862no—
439C2×C4⋊C4C4×D4311yescharacteristic
440C2×C4⋊C4C22×D4311yescharacteristic
441C2×C22⋊C4—431no—
442C2×C22⋊C4—431no—
443C2×C22⋊C4—431no—
444C2×C22⋊C4—431no—
445C2×C22⋊C4—431no—
446C2×C22⋊C4—431no—
447C2×C22⋊C4—862no—
448C2×C22⋊C4—862no—
449C2×C22⋊C4—862no—
450C2×C22⋊C4—862no—
451C2×C22⋊C4C4×D4311yescharacteristic
452C2×C22⋊C4C22×D4311yescharacteristic
453C2×C42—431no—
454C2×C42—431no—
455C2×C42—431no—
456C2×C42—432no—
457C2×C42—432no—
458C2×C42—432no—
459C2×C42—432no—
460C2×C42—431no—
461C2×C42—431no—
462C2×C42—431no—
463C2×C42—861no—
464C2×C42—861no—
465C2×C42—861no—
466C2×C42—861no—
467C2×C42C4×D4311yescharacteristic
468C2×C42C22×D4311yescharacteristic
469C4⋊C8—22no—
470C4⋊C8—864no—
471C4⋊C8—862no—
472C22⋊C8—434no—
473C22⋊C8—864no—
474C22⋊C8C22×D4314yes—
475C4×C8—22no—
476C4×C8—864no—
477C4×C8—862no—
478C24—431no—
479C24—434no—
480C24—431no—
481C24—861no—
482C24—861no—
483C24—862no—
484C24—1722no—
485C24—1722no—
486C24C2×C4×D4311yescharacteristic
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—431no—
491C22×C4—431no—
492C22×C4—431no—
493C22×C4—431no—
494C22×C4—431no—
495C22×C4—434no—
496C22×C4—434no—
497C22×C4—434no—
498C22×C4—431no—
499C22×C4—431no—
500C22×C4—431no—
501C22×C4—432no—
502C22×C4—434no—
503C22×C4—434no—
504C22×C4—434no—
505C22×C4—432no—
506C22×C4—432no—
507C22×C4—432no—
508C22×C4—431no—
509C22×C4—431no—
510C22×C4—861no—
511C22×C4—861no—
512C22×C4—862no—
513C22×C4—868no—
514C22×C4—868no—
515C22×C4—868no—
516C22×C4—868no—
517C22×C4—861no—
518C22×C4—861no—
519C22×C4—862no—
520C22×C4—861no—
521C22×C4—861no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—862no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4—862no—
530C22×C4—1722no—
531C22×C4—1722no—
532C22×C4—1722no—
533C22×C4—1722no—
534C22×C4C8×D4314yescomplemented
535C22×C4C2×C4×D4311yescharacteristic
536C22×C4C2×C4×D4311yescharacteristic
537C22×C4C2×C4×D4311yescharacteristic
538C22×C4C2×C4×D4311yescharacteristic
539C22×C4C2×C4×D4311yescharacteristic
540C22×C4C23×D4311yescharacteristic
541C2×C8—24no—
542C2×C8—864no—
543C2×C8—1728no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—862no—
547C4⋊C4—862no—
548C4⋊C4—862no—
549C4⋊C4—862no—
550C4⋊C4—862no—
551C4⋊C4—862no—
552C22⋊C4—22no—
553C22⋊C4—22no—
554C22⋊C4—862no—
555C22⋊C4—862no—
556C22⋊C4—862no—
557C22⋊C4—862no—
558C22⋊C4—862no—
559C22⋊C4—862no—
560C42—21no—
561C42—21no—
562C42—432no—
563C42—432no—
564C42—432no—
565C42—432no—
566C42—432no—
567C42—432no—
568C42—861no—
569C42—861no—
570C42—861no—
571C42—861no—
572C42—861no—
573C42—861no—
574C42D4×D4312yes—
575C42D4×D4312yes—
576C23—21no—
577C23—21no—
578C23—41no—
579C23—41no—
580C23—431no—
581C23—431no—
582C23—432no—
583C23—432no—
584C23—432no—
585C23—862no—
586C23—862no—
587C23—864no—
588C23—864no—
589C23—861no—
590C23—861no—
591C23—1721no—
592C23—1721no—
593C23—1722no—
594C23—1722no—
595C23—1728no—
596C23—1728no—
597C23—1722no—
598C23—1722no—
599C23C2×C8×D4312yes—
600C23C22×C4×D4311yescharacteristic
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—431no—
612C2×C4—431no—
613C2×C4—432no—
614C2×C4—432no—
615C2×C4—434no—
616C2×C4—434no—
617C2×C4—434no—
618C2×C4—434no—
619C2×C4—432no—
620C2×C4—432no—
621C2×C4—432no—
622C2×C4—864no—
623C2×C4—864no—
624C2×C4—864no—
625C2×C4—864no—
626C2×C4—864no—
627C2×C4—864no—
628C2×C4—864no—
629C2×C4—864no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—864no—
633C2×C4—864no—
634C2×C4—861no—
635C2×C4—861no—
636C2×C4—1722no—
637C2×C4—1722no—
638C2×C4—1722no—
639C2×C4—1722no—
640C2×C4—1722no—
641C2×C4—1722no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4C22⋊C4×D4312yes—
647C2×C4C22⋊C4×D4311yescharacteristic
648C2×C4C22⋊C4×D4311yescharacteristic
649C2×C4C2×C8×D4312yes—
650C2×C4C2×C8×D4312yes—
651C2×C4M16×D4312yes—
652C2×C4C2×D4×D4312yes—
653C8—44no—
654C8—1724no—
655C22—21no—
656C22—21no—
657C22—22no—
658C22—42no—
659C22—42no—
660C22—41no—
661C22—41no—
662C22—432no—
663C22—432no—
664C22—432no—
665C22—432no—
666C22—864no—
667C22—864no—
668C22—861no—
669C22—861no—
670C22—862no—
671C22—1722no—
672C22—1722no—
673C22—1728no—
674C22—1728no—
675C22—1721no—
676C22—1721no—
677C22C2×C22⋊C4×D4311yescharacteristic
678C22C22×C8×D4311yescharacteristic
679C22C2×M16×D4311yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—41no—
684C4—41no—
685C4—432no—
686C4—432no—
687C4—862no—
688C4—862no—
689C4—862no—
690C4—1721no—
691C4—1721no—
692C4C22⋊C8×D4312yes—
693C4C22⋊C8×D4312yes—
694C2—21no—
695C2—21no—
696C2—42no—
697C2—434no—
698C2—862no—
699C2—1722no—
700C2C2×C22⋊C8×D4311yescharacteristic
701C2#410×D4311yescharacteristic
702C2#413×D4311yescharacteristic
subgroupG/H
centerC2×C4C22⋊C4×D43
commutatorC22×C43C23×C8
FrattiniC22×C4C23×D43
FittingC43×#1458C2
socleC22×C43C22×C22⋊C4
prime radicalC24×D43C2×C4
cosocleC22×C4×C43C24
hypercenter#1458D43
hypocenterC43C2×#1458
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1458

Complements

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

NH ≅ G/Ntype
2. #431×D43C2semidirect
3. #19132909C2semidirect
4. #19132908C2semidirect
5. #19132907C2semidirect
6. #19132906C2semidirect
7. #324×D43C2semidirect
9. C43×#1458C2semidirect
28. #14582952C22semidirect
31. #14582949C22semidirect
35. #14582625C22semidirect
36. #14582624C22semidirect
40. C43×#431C22semidirect
41. C43×#324C22semidirect
50. C22×C4×D43C8semidirect
138. C22×C4×C43C2×C8semidirect
148. C22×Dic43C2×C8semidirect
184. C2×C4×D43C2×C8semidirect
185. C2×C4×D43C2×C8semidirect
349. #1458D43direct (N × H)
360. D43#1458direct (N × H)
384. #431C2×D43semidirect
390. #324C2×D43semidirect
394. C43C2×#1458semidirect
534. C22×C4C8×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#117×D432
#431×D432
#191329092
#191329082
#191329072
#191329062
#324×D432
#323×D432
C43×#14582
C2×#145843