Finite Group Databasebeta

← D43×#2629 #25263658

Subgroups — D43×#2629 #25263658

Order 11008.

2614 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#125×D43C211yesmaximal, characteristic, complemented
2C2×#117×D43C211yesmaximal, characteristic
3#19140430C212yesmaximal, complemented
4#19140429C212yesmaximal, complemented
5#19140428C211yesmaximal, characteristic, complemented
6#19140427C214yesmaximal, complemented
7#19140426C211yesmaximal, characteristic, complemented
8#19140425C211yesmaximal, characteristic, complemented
9#19140424C214yesmaximal, complemented
10#398×D43C214yesmaximal, complemented
11#396×D43C214yesmaximal
12#389×D43C212yesmaximal, complemented
13#384×D43C211yesmaximal, characteristic, complemented
14#380×D43C212yesmaximal
15C43×#2629C211yesmaximal, characteristic, complemented
16C23×C4×D43C2211yescharacteristic
17C2×#13063317C2211yescharacteristic, complemented
18C2×#13063316C2212yescomplemented
19C2×#13063315C2214yescomplemented
20#125×D43—28no—
21C2×#13063284C2211yescharacteristic
22C2×#13063283C2212yes—
23C2×#13063282C2211yescharacteristic
24C2×#13063282C2211yescharacteristic
25C2×#13063281C2212yes—
26#117×D43—28no—
27C2×C4⋊C4×D43C2212yes—
28C2×C4⋊C4×D43C2212yes—
29C2×C4⋊C4×D43C2214yes—
30C2×C4⋊C4×D43C2212yes—
31C2×C4⋊C4×D43C2214yes—
32C2×C4⋊C4×D43C2214yes—
33C2×C22⋊C4×D43C2212yes—
34C2×C22⋊C4×D43C2214yes—
35C2×C42×D43C2211yescharacteristic
36C2×C42×D43C2211yescharacteristic
37#14582833C2214yescomplemented
38#14582833C2214yescomplemented
39#14582832C2214yescomplemented
40#14582832C2214yescomplemented
41#14582831C2214yescomplemented
42#14582830C2214yescomplemented
43#14582829C2214yescomplemented
44#14582823C2214yes—
45#14582822C2214yes—
46#14582822C2214yes—
47#14582822C2214yes—
48#14582821C2214yes—
49#14582821C2214yes—
50#14582821C2214yes—
51#14582798C2212yescomplemented
52#14582797C2212yescomplemented
53#14582796C2214yescomplemented
54#14582795C2212yescomplemented
55#14582794C2214yescomplemented
56#14582769C2211yescharacteristic, complemented
57#14582768C2214yescomplemented
58#14582768C2212yescomplemented
59#14582759C2212yes—
60#14582758C2214yes—
61#14582757C2214yes—
62#14582756C2212yes—
63#14582756C2212yes—
64#95×D43C2214yes—
65#95×D43C2214yes—
66C2×#125×C43C2211yescharacteristic, complemented
67C2×#117×C43C2211yescharacteristic
68C43×#398C2214yescomplemented
69C43×#396C2214yes—
70C43×#389C2212yescomplemented
71C43×#384C2211yescharacteristic, complemented
72C43×#380C2212yes—
73C24×D43C2311yescharacteristic
74C23×Dic43C2311yescharacteristic
75C22×C4×D43—24no—
76C22×C4×D43—24no—
77C22×C4×D43Q818yes—
78C22×C4×D43C2312yes—
79C22×C4×D43C2314yes—
80C22×C4×D43C2314yes—
81C22×C4×D43C2312yes—
82C22×C4×D43C2311yescharacteristic
83C22×C4×D43C2311yescharacteristic
84C22×C4×D43C2311yescharacteristic
85C22×C4×D43C2311yescharacteristic
86#13063317—24no—
87#13063316—28no—
88#13063315—216no—
89#13063284—24no—
90#13063283—28no—
91#13063282—24no—
92#13063282—24no—
93#13063281—28no—
94C2×C4⋊Dic43C2312yes—
95C2×C4⋊Dic43C2312yes—
96C2×C4⋊Dic43C2314yes—
97C2×C4⋊Dic43C2312yes—
98C2×C4⋊Dic43C2314yes—
99C2×C4⋊Dic43C2314yes—
100C2×Dic43⋊C4C2314yes—
101C2×Dic43⋊C4C2314yes—
102C2×Dic43⋊C4C2314yes—
103C2×Dic43⋊C4C2314yes—
104C2×Dic43⋊C4C2312yes—
105C2×Dic43⋊C4C2312yes—
106C2×Dic43⋊C4C2314yes—
107C2×Dic43⋊C4C2314yes—
108C2×Dic43⋊C4C2314yes—
109C2×Dic43⋊C4C2314yes—
110C4⋊C4×D43—28no—
111C4⋊C4×D43—216no—
112C4⋊C4×D43—28no—
113C4⋊C4×D43—28no—
114C4⋊C4×D43—48no—
115C4⋊C4×D43—48no—
116C2×C22⋊Dic43C2312yes—
117C2×C22⋊Dic43C2314yes—
118C2×(C2×D43)⋊C4C2312yes—
119C2×(C2×D43)⋊C4C2312yes—
120C2×(C2×D43)⋊C4C2314yes—
121C2×(C2×D43)⋊C4C2314yes—
122C22⋊C4×D43—28no—
123C22⋊C4×D43—48no—
124C2×C4×Dic43C2312yes—
125C2×C4×Dic43C2311yescharacteristic
126C2×C4×Dic43C2312yes—
127C2×C4×Dic43C2311yescharacteristic
128C42×D43—24no—
129C42×D43D418yes—
130C43⋊#95C2314yes—
131C43⋊#95C2314yes—
132C43⋊#95C2314yes—
133C43⋊#95C2314yes—
134C43⋊#95C2314yes—
135C43⋊#95C2314yes—
136C23×C4×C43C2311yescharacteristic
137#125×C43—24no—
138#117×C43—24no—
139C2×C4⋊C4×C43C2312yes—
140C2×C4⋊C4×C43C2312yes—
141C2×C4⋊C4×C43C2312yes—
142C2×C4⋊C4×C43C2314yes—
143C2×C4⋊C4×C43C2314yes—
144C2×C4⋊C4×C43C2314yes—
145C2×C22⋊C4×C43C2312yes—
146C2×C22⋊C4×C43C2314yes—
147C2×C42×C43C2311yescharacteristic
148C2×C42×C43C2311yescharacteristic
149#95×C43C2314yes—
150#95×C43C2314yes—
151C24×C43C2411yescharacteristic
152C23×D43—22no—
153C23×D43—22no—
154C23×D43—24no—
155C23×D43—24no—
156C23×D43C2×Q814yes—
157C23×D43C2411yescharacteristic
158C23×D43C2411yescharacteristic
159C22×C4×C43—22no—
160C22×C4×C43—22no—
161C22×C4×C43C2×Q814yes—
162C22×C4×C43C2412yes—
163C22×C4×C43C2414yes—
164C22×C4×C43C2414yes—
165C22×C4×C43C2412yes—
166C22×C4×C43C2411yescharacteristic
167C22×C4×C43C2411yescharacteristic
168C22×Dic43—22no—
169C22×Dic43—22no—
170C22×Dic43C2×Q814yes—
171C22×Dic43C2412yes—
172C22×Dic43C2414yes—
173C22×Dic43C2414yes—
174C22×Dic43C2412yes—
175C22×Dic43C2411yescharacteristic
176C22×Dic43C2411yescharacteristic
177C2×C4×D43—22no—
178C2×C4×D43—22no—
179C2×C4×D43—22no—
180C2×C4×D43—22no—
181C2×C4×D43—232no—
182C2×C4×D43—22no—
183C2×C4×D43—24no—
184C2×C4×D43—28no—
185C2×C4×D43—22no—
186C2×C4×D43—28no—
187C2×C4×D43—24no—
188C2×C4×D43—28no—
189C2×C4×D43—28no—
190C2×C4×D43—24no—
191C2×C4×D43—28no—
192C2×C4×D43—24no—
193C2×C4×D43—24no—
194C2×C4×D43—28no—
195C2×C4×D43C2×D418yes—
196C2×C4×D43C2×D414yes—
197C2×C4×D43C2×Q814yes—
198C2×C4×D43C2×Q814yes—
199C2×C4×D43C2×Q814yes—
200C2×C4×D43C2×Q814yes—
201C2×C4×D43#4114yes—
202C4⋊C4×C43—24no—
203C4⋊C4×C43—28no—
204C4⋊C4×C43—24no—
205C4⋊C4×C43—24no—
206C4⋊C4×C43—44no—
207C4⋊C4×C43—44no—
208C22⋊C4×C43—24no—
209C22⋊C4×C43—44no—
210C42×C43—22no—
211C42×C43C2×D414yes—
212C22⋊Dic43—24no—
213C22⋊Dic43—44no—
214(C2×D43)⋊C4—24no—
215(C2×D43)⋊C4—24no—
216(C2×D43)⋊C4—44no—
217(C2×D43)⋊C4—44no—
218C4⋊Dic43—24no—
219C4⋊Dic43—24no—
220C4⋊Dic43—24no—
221C4⋊Dic43—28no—
222C4⋊Dic43—44no—
223C4⋊Dic43—44no—
224Dic43⋊C4—24no—
225Dic43⋊C4—28no—
226Dic43⋊C4—24no—
227Dic43⋊C4—28no—
228Dic43⋊C4—28no—
229Dic43⋊C4—28no—
230Dic43⋊C4—44no—
231Dic43⋊C4—44no—
232Dic43⋊C4—44no—
233Dic43⋊C4—44no—
234C4×Dic43—22no—
235C4×Dic43—24no—
236C4×Dic43C2×D418yes—
237C4×Dic43C2×D414yes—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—22no—
241C23×C43—22no—
242C23×C43C22×Q812yes—
243C23×C43C2511yescharacteristic
244C22×D43—21no—
245C22×D43—21no—
246C22×D43—22no—
247C22×D43—22no—
248C22×D43—28no—
249C22×D43—216no—
250C22×D43—48no—
251C22×D43—44no—
252C22×D43—44no—
253C22×D43C22×D412yes—
254C22×D43C22×Q812yes—
255C22×D43C22×Q812yes—
256C22×D43C2×#4112yes—
257C22×D43H(5,𝔽2)14yes—
258C22×D432−1+414yes—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—28no—
264C2×C4×C43—22no—
265C2×C4×C43—24no—
266C2×C4×C43—24no—
267C2×C4×C43—22no—
268C2×C4×C43—24no—
269C2×C4×C43—24no—
270C2×C4×C43—24no—
271C2×C4×C43—22no—
272C2×C4×C43—24no—
273C2×C4×C43C22×D414yes—
274C2×C4×C43C22×D412yes—
275C2×C4×C43C22×Q812yes—
276C2×C4×C43C22×Q812yes—
277C2×C4×C43C2×#4112yes—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—28no—
283C2×Dic43—22no—
284C2×Dic43—24no—
285C2×Dic43—24no—
286C2×Dic43—24no—
287C2×Dic43—22no—
288C2×Dic43—24no—
289C2×Dic43—24no—
290C2×Dic43—22no—
291C2×Dic43—24no—
292C2×Dic43C22×D414yes—
293C2×Dic43C22×D412yes—
294C2×Dic43C22×Q812yes—
295C2×Dic43C22×Q812yes—
296C2×Dic43C2×#4112yes—
297C4×D43—28no—
298C4×D43—216no—
299C4×D43—28no—
300C4×D43—28no—
301C4×D43—48no—
302C4×D43—416no—
303C4×D43—416no—
304C4×D43C22⋊Q8116yes—
305C2×#2629—431nomaximal, Sylow
306C22×C43—22no—
307C22×C43—24no—
308C22×C43—42no—
309C22×C43—41no—
310C22×C43—41no—
311C22×C43C23×D411yescharacteristic
312C22×C43C23×Q811yescharacteristic
313C22×C43C22×#4111yescharacteristic
314C22×C43C2×H(5,𝔽2)12yes—
315C22×C43C2×2−1+412yes—
316C2×D43—22no—
317C2×D43—24no—
318C2×D43—42no—
319C2×D43—41no—
320C2×D43—41no—
321C2×D43—416no—
322C2×D43C2×C22⋊Q814yes—
323C2×D43#53718yes—
324C2×D43#54014yes—
325C2×D43#54114yes—
326C2×D43#54418yes—
327C4×C43—22no—
328C4×C43—24no—
329C4×C43—42no—
330C4×C43—44no—
331C4×C43—44no—
332C4×C43C2×C22⋊Q814yes—
333Dic43—22no—
334Dic43—24no—
335Dic43—42no—
336Dic43—44no—
337Dic43—44no—
338Dic43C2×C22⋊Q814yes—
339C22×#125—431no—
340C22×#117—431no—
341#2629—434no—
342#2629—434no—
343#2629—432no—
344#2629—431no—
345#2629—432no—
346#2629—431no—
347#2629—431no—
348#2629D4311yescharacteristic, direct product factor
349C2×#398—434no—
350C2×#396—434no—
351C2×#389—432no—
352C2×#384—431no—
353C2×#380—432no—
354C2×C43—42no—
355C2×C43C22×C22⋊Q811yescharacteristic
356C2×C43C2×#53712yes—
357C2×C43C2×#54011yescharacteristic
358C2×C43C2×#54111yescharacteristic
359C2×C43C2×#54412yes—
360D43—42no—
361D43#262918yesdirect product factor
362C24×C4—431no—
363C2×#125—434no—
364C2×#125—432no—
365C2×#125—431no—
366C2×#125—868no—
367C2×#125C2×D4311yescharacteristic, complemented
368C2×#117—431no—
369C2×#117—432no—
370C2×#117—432no—
371C2×#117—431no—
372C2×#117—431no—
373C2×#117—868no—
374C2×#117C2×D4311yescharacteristic
375C22×C4⋊C4—434no—
376C22×C4⋊C4—432no—
377C22×C4⋊C4—432no—
378C22×C4⋊C4—432no—
379C22×C4⋊C4—434no—
380C22×C4⋊C4—434no—
381C22×C22⋊C4—432no—
382C22×C22⋊C4—434no—
383C22×C42—431no—
384C22×C42—431no—
385#398—434no—
386#398—434no—
387#398—434no—
388#398—434no—
389#398—434no—
390#398—434no—
391#398—434no—
392#398C2×D4314yescomplemented
393#396—434no—
394#396—434no—
395#396—434no—
396#396—434no—
397#396—434no—
398#396—434no—
399#396—434no—
400#396C2×D4314yes—
401#389—434no—
402#389—432no—
403#389—432no—
404#389—432no—
405#389—434no—
406#389C2×D4312yescomplemented
407#384—434no—
408#384—432no—
409#384—431no—
410#384C2×D4311yescharacteristic, complemented
411#380—432no—
412#380—432no—
413#380—432no—
414#380—434no—
415#380—434no—
416#380C2×D4312yes—
417C2×#95—434no—
418C2×#95—434no—
419C43C2×#262911yescharacteristic, complemented, Sylow
420C25—431no—
421C23×C4—431no—
422C23×C4—431no—
423C23×C4—438no—
424C23×C4—432no—
425C23×C4—431no—
426C23×C4—431no—
427C23×C4—431no—
428C23×C4—434no—
429C23×C4—434no—
430C23×C4—432no—
431C23×C4—864no—
432C23×C4—864no—
433C23×C4C22×D4311yescharacteristic
434#125—24no—
435#125—8616no—
436#125—868no—
437#125—864no—
438#117—24no—
439#117—864no—
440#117—868no—
441#117—868no—
442#117—864no—
443#117—864no—
444C2×C4⋊C4—432no—
445C2×C4⋊C4—432no—
446C2×C4⋊C4—432no—
447C2×C4⋊C4—434no—
448C2×C4⋊C4—434no—
449C2×C4⋊C4—434no—
450C2×C4⋊C4—432no—
451C2×C4⋊C4—434no—
452C2×C4⋊C4—434no—
453C2×C4⋊C4—432no—
454C2×C4⋊C4—434no—
455C2×C4⋊C4—434no—
456C2×C4⋊C4—434no—
457C2×C4⋊C4—434no—
458C2×C4⋊C4—434no—
459C2×C4⋊C4—434no—
460C2×C4⋊C4—868no—
461C2×C4⋊C4—868no—
462C2×C4⋊C4—8616no—
463C2×C4⋊C4—868no—
464C2×C4⋊C4—1728no—
465C2×C4⋊C4—1728no—
466C2×C4⋊C4C22×D4312yes—
467C2×C4⋊C4C22×D4312yes—
468C2×C4⋊C4C22×D4314yes—
469C2×C4⋊C4C22×D4312yes—
470C2×C4⋊C4C22×D4314yes—
471C2×C4⋊C4C22×D4314yes—
472C2×C22⋊C4—432no—
473C2×C22⋊C4—432no—
474C2×C22⋊C4—432no—
475C2×C22⋊C4—434no—
476C2×C22⋊C4—434no—
477C2×C22⋊C4—434no—
478C2×C22⋊C4—868no—
479C2×C22⋊C4—1728no—
480C2×C22⋊C4C22×D4312yes—
481C2×C22⋊C4C22×D4314yes—
482C2×C42—432no—
483C2×C42—431no—
484C2×C42—438no—
485C2×C42—432no—
486C2×C42—431no—
487C2×C42—864no—
488C2×C42C22×D4311yescharacteristic
489C2×C42C22×D4311yescharacteristic
490#95—434no—
491#95—434no—
492#95—434no—
493#95—434no—
494#95—434no—
495#95—434no—
496#95C22×D4314yes—
497#95C22×D4314yes—
498C24—431no—
499C24—434no—
500C24—431no—
501C24—862no—
502C24—864no—
503C24—862no—
504C24—864no—
505C24C23×D4311yescharacteristic
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—431no—
509C22×C4—434no—
510C22×C4—434no—
511C22×C4—434no—
512C22×C4—434no—
513C22×C4—431no—
514C22×C4—432no—
515C22×C4—438no—
516C22×C4—434no—
517C22×C4—434no—
518C22×C4—434no—
519C22×C4—432no—
520C22×C4—434no—
521C22×C4—434no—
522C22×C4—862no—
523C22×C4—862no—
524C22×C4—8632no—
525C22×C4—862no—
526C22×C4—864no—
527C22×C4—862no—
528C22×C4—864no—
529C22×C4—864no—
530C22×C4—868no—
531C22×C4—868no—
532C22×C4—868no—
533C22×C4—868no—
534C22×C4—868no—
535C22×C4—864no—
536C22×C4—868no—
537C22×C4—864no—
538C22×C4—862no—
539C22×C4—862no—
540C22×C4—862no—
541C22×C4—862no—
542C22×C4Q8×D4314yes—
543C22×C4C23×D4312yes—
544C22×C4C23×D4314yes—
545C22×C4C23×D4314yes—
546C22×C4C23×D4312yes—
547C22×C4C23×D4311yescharacteristic
548C22×C4C23×D4311yescharacteristic
549C4⋊C4—24no—
550C4⋊C4—28no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—864no—
556C4⋊C4—864no—
557C4⋊C4—868no—
558C4⋊C4—868no—
559C4⋊C4—868no—
560C4⋊C4—868no—
561C4⋊C4—864no—
562C4⋊C4—868no—
563C4⋊C4—864no—
564C4⋊C4—864no—
565C4⋊C4—1724no—
566C4⋊C4—1724no—
567C4⋊C4—1724no—
568C4⋊C4—1724no—
569C4⋊C4—1724no—
570C4⋊C4—1724no—
571C22⋊C4—24no—
572C22⋊C4—44no—
573C22⋊C4—864no—
574C22⋊C4—864no—
575C22⋊C4—864no—
576C22⋊C4—1724no—
577C22⋊C4—1724no—
578C22⋊C4—1724no—
579C42—22no—
580C42—438no—
581C42—434no—
582C42—864no—
583C42—862no—
584C42D4×D4314yes—
585C23—21no—
586C23—21no—
587C23—22no—
588C23—22no—
589C23—432no—
590C23—432no—
591C23—432no—
592C23—434no—
593C23—434no—
594C23—432no—
595C23—868no—
596C23—8616no—
597C23—861no—
598C23—861no—
599C23—862no—
600C23—862no—
601C23—1728no—
602C23—1724no—
603C23—1724no—
604C23C2×Q8×D4312yes—
605C23C24×D4311yescharacteristic
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—28no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—432no—
621C2×C4—432no—
622C2×C4—432no—
623C2×C4—4316no—
624C2×C4—434no—
625C2×C4—432no—
626C2×C4—868no—
627C2×C4—868no—
628C2×C4—8616no—
629C2×C4—868no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—862no—
633C2×C4—862no—
634C2×C4—868no—
635C2×C4—862no—
636C2×C4—864no—
637C2×C4—864no—
638C2×C4—864no—
639C2×C4—864no—
640C2×C4—862no—
641C2×C4—864no—
642C2×C4—862no—
643C2×C4—864no—
644C2×C4—1728no—
645C2×C4—17216no—
646C2×C4—17216no—
647C2×C4C2×D4×D4314yes—
648C2×C4C2×D4×D4312yes—
649C2×C4C2×Q8×D4312yes—
650C2×C4C2×Q8×D4312yes—
651C2×C4#41×D4312yes—
652C22—22no—
653C22—24no—
654C22—42no—
655C22—41no—
656C22—41no—
657C22—434no—
658C22—438no—
659C22—434no—
660C22—434no—
661C22—438no—
662C22—862no—
663C22—864no—
664C22—17216no—
665C22—1722no—
666C22—1721no—
667C22—1721no—
668C22C22×D4×D4311yescharacteristic
669C22C22×Q8×D4311yescharacteristic
670C22C2×#41×D4311yescharacteristic
671C22H(5,𝔽2)×D4312yes—
672C222−1+4×D4312yes—
673C4—22no—
674C4—24no—
675C4—42no—
676C4—44no—
677C4—44no—
678C4—434no—
679C4—862no—
680C4—864no—
681C4—1722no—
682C4—1724no—
683C4—1724no—
684C4C22⋊Q8×D4314yes—
685C2—42no—
686C2—438no—
687C2—1722no—
688C2C2×C22⋊Q8×D4311yescharacteristic
689C2#537×D4312yes—
690C2#540×D4311yescharacteristic
691C2#541×D4311yescharacteristic
692C2#544×D4312yes—
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2629C2
prime radicalC24×D43C23
hypercenter#2629D43
hypocenterC43C2×#2629
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2629

Complements

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

NH ≅ G/Ntype
1. C2×#125×D43C2semidirect
3. #19140430C2semidirect
4. #19140429C2semidirect
5. #19140428C2semidirect
6. #19140427C2semidirect
7. #19140426C2semidirect
8. #19140425C2semidirect
9. #19140424C2semidirect
10. #398×D43C2semidirect
12. #389×D43C2semidirect
13. #384×D43C2semidirect
15. C43×#2629C2semidirect
17. C2×#13063317C22semidirect
18. C2×#13063316C22semidirect
19. C2×#13063315C22semidirect
37. #14582833C22semidirect
38. #14582833C22semidirect
39. #14582832C22semidirect
40. #14582832C22semidirect
41. #14582831C22semidirect
42. #14582830C22semidirect
43. #14582829C22semidirect
51. #14582798C22semidirect
52. #14582797C22semidirect
53. #14582796C22semidirect
54. #14582795C22semidirect
55. #14582794C22semidirect
56. #14582769C22semidirect
57. #14582768C22semidirect
58. #14582768C22semidirect
66. C2×#125×C43C22semidirect
68. C43×#398C22semidirect
70. C43×#389C22semidirect
71. C43×#384C22semidirect
348. #2629D43direct (N × H)
361. D43#2629direct (N × H)
367. C2×#125C2×D43semidirect
392. #398C2×D43semidirect
406. #389C2×D43semidirect
410. #384C2×D43semidirect
419. C43C2×#2629semidirect

Maximal subgroups

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

subgroupindex
C2×#125×D432
C2×#117×D432
#191404302
#191404292
#191404282
#191404272
#191404262
#191404252
#191404242
#398×D432
#396×D432
#389×D432
#384×D432
#380×D432
C43×#26292
C2×#262943