Finite Group Databasebeta

← D43×#2283 #25254876

Subgroups — D43×#2283 #25254876

Order 11008.

3246 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
1C22×C42×D43C211yesmaximal, characteristic
2#19136993C211yesmaximal, characteristic, complemented
3#19136992C212yesmaximal, complemented
4#19136991C212yesmaximal, complemented
5#19136990C212yesmaximal, complemented
6#19136989C212yesmaximal, complemented
7#19136988C212yesmaximal, complemented
8#19136987C212yesmaximal, complemented
9#19136986C212yesmaximal, complemented
10#383×D43C212yesmaximal, complemented
11#382×D43C212yesmaximal, complemented
12#381×D43C212yesmaximal
13#380×D43C212yesmaximal
14C4×C4⋊C4×D43C212yesmaximal, complemented
15C4×C22⋊C4×D43C212yesmaximal
16#376×D43C212yesmaximal, complemented
17C43×#2283C211yesmaximal, characteristic, complemented
18C23×C4×D43C2211yescharacteristic
19C23×C4×D43C2211yescharacteristic
20C23×C4×D43C2211yescharacteristic
21C2×C4⋊C4×D43C2214yes—
22C2×C22⋊C4×D43C2214yes—
23C22×C4×Dic43C2211yescharacteristic
24C22×C4×Dic43C2211yescharacteristic
25C22×C4×Dic43C2211yescharacteristic
26C2×C42×D43C4116yescomplemented
27C2×C42×D43C2214yes—
28C2×C42×D43C2211yescharacteristic
29C2×C42×D43C2211yescharacteristic
30C2×C42×D43C2211yescharacteristic
31C2×C42×D43C2211yescharacteristic
32C2×C42×D43C2211yescharacteristic
33C2×C42×D43C2211yescharacteristic
34C2×C42×D43C2211yescharacteristic
35C2×C42×D43C2211yescharacteristic
36#14582767C2212yescomplemented
37#14582766C2214yescomplemented
38#14582766C2214yescomplemented
39#14582766C2214yescomplemented
40#14582765C2212yescomplemented
41#14582764C2214yescomplemented
42#14582763C2214yescomplemented
43#14582763C2214yescomplemented
44#14582762C2212yes—
45#14582761C2214yes—
46#14582761C2214yes—
47#14582760C2214yes—
48#14582759C2212yes—
49#14582758C2214yes—
50#14582757C2214yes—
51#14582756C2214yes—
52C4⋊C4×Dic43C2214yescomplemented
53C4×Dic43⋊C4C2214yescomplemented
54C4×C4⋊Dic43C2212yescomplemented
55#14582750C2214yescomplemented
56C22⋊C4×Dic43C2214yes—
57C4×(C2×D43)⋊C4C2214yes—
58C4×C22⋊Dic43C2212yes—
59#14582746C2214yes—
60#14582745C2212yescomplemented
61#14582745C2214yescomplemented
62#14582744C2214yescomplemented
63#14582744C2214yescomplemented
64#95×D43C2214yes—
65#95×D43C2214yes—
66#95×D43C2214yes—
67#95×D43C2214yes—
68C22×C42×C43C2211yescharacteristic
69C43×#383C2212yescomplemented
70C43×#382C2212yescomplemented
71C43×#381C2212yes—
72C43×#380C2212yes—
73C4×C4⋊C4×C43C2212yescomplemented
74C4×C22⋊C4×C43C2212yes—
75C43×#376C2212yescomplemented
76C24×D43C2311yescharacteristic
77C23×Dic43C2311yescharacteristic
78C23×Dic43C2311yescharacteristic
79C23×Dic43C2311yescharacteristic
80C22×C4×D43—28no—
81C22×C4×D43—28no—
82C22×C4×D43—28no—
83C22×C4×D43C2×C418yes—
84C22×C4×D43C2×C418yes—
85C22×C4×D43C2×C418yes—
86C22×C4×D43C2318yes—
87C22×C4×D43C2311yescharacteristic
88C22×C4×D43C2311yescharacteristic
89C22×C4×D43C2311yescharacteristic
90C22×C4×D43C2311yescharacteristic
91C22×C4×D43C2311yescharacteristic
92C22×C4×D43C2311yescharacteristic
93C22×C4×D43C2311yescharacteristic
94C22×C4×D43C2311yescharacteristic
95C22×C4×D43C2311yescharacteristic
96C22×C4×D43C2311yescharacteristic
97C22×C4×D43C2311yescharacteristic
98C22×C4×D43C2311yescharacteristic
99C2×C4⋊Dic43C2314yes—
100C2×Dic43⋊C4C2318yes—
101C4⋊C4×D43—216no—
102C2×C22⋊Dic43C2314yes—
103C2×(C2×D43)⋊C4C2318yes—
104C22⋊C4×D43—216no—
105C2×C4×Dic43C2×C418yescomplemented
106C2×C4×Dic43C2×C418yescomplemented
107C2×C4×Dic43C2×C418yescomplemented
108C2×C4×Dic43C2318yes—
109C2×C4×Dic43C2314yes—
110C2×C4×Dic43C2311yescharacteristic
111C2×C4×Dic43C2311yescharacteristic
112C2×C4×Dic43C2311yescharacteristic
113C2×C4×Dic43C2311yescharacteristic
114C2×C4×Dic43C2311yescharacteristic
115C2×C4×Dic43C2311yescharacteristic
116C2×C4×Dic43C2311yescharacteristic
117C2×C4×Dic43C2311yescharacteristic
118C2×C4×Dic43C2311yescharacteristic
119C2×C4×Dic43C2311yescharacteristic
120C2×C4×Dic43C2311yescharacteristic
121C2×C4×Dic43C2311yescharacteristic
122C42×D43—216no—
123C42×D43C2×C418yes—
124C42×D43C2×C418yes—
125C42×D43C2×C418yes—
126C42×D43C2×C418yes—
127C42×D43C2×C418yescomplemented
128C42×D43C2×C418yescomplemented
129C42×D43C2×C418yescomplemented
130C42×D43C2×C418yescomplemented
131C43⋊#95C2318yes—
132C43⋊#95C2314yes—
133C43⋊#95C2318yes—
134C43⋊#95C2314yes—
135C43⋊#95C2314yes—
136C43⋊#95C2318yes—
137C43⋊#95C2314yes—
138C43⋊#95C2318yes—
139C23×C4×C43C2311yescharacteristic
140C23×C4×C43C2311yescharacteristic
141C23×C4×C43C2311yescharacteristic
142C2×C4⋊C4×C43C2314yes—
143C2×C22⋊C4×C43C2314yes—
144C2×C42×C43C2×C418yescomplemented
145C2×C42×C43C2314yes—
146C2×C42×C43C2311yescharacteristic
147C2×C42×C43C2311yescharacteristic
148C2×C42×C43C2311yescharacteristic
149C2×C42×C43C2311yescharacteristic
150#95×C43C2314yes—
151#95×C43C2314yes—
152#95×C43C2314yes—
153#95×C43C2314yes—
154C24×C43C2411yescharacteristic
155C23×D43—24no—
156C23×D43—24no—
157C23×D43C22×C414yes—
158C23×D43#4118yes—
159C23×D43C2411yescharacteristic
160C23×D43C2411yescharacteristic
161C22×C4×C43—24no—
162C22×C4×C43—24no—
163C22×C4×C43—24no—
164C22×C4×C43C22×C414yes—
165C22×C4×C43C22×C414yes—
166C22×C4×C43C22×C414yes—
167C22×C4×C43C2418yes—
168C22×C4×C43C2411yescharacteristic
169C22×C4×C43C2411yescharacteristic
170C22×C4×C43C2411yescharacteristic
171C22×C4×C43C2411yescharacteristic
172C22×C4×C43C2411yescharacteristic
173C22×C4×C43C2411yescharacteristic
174C22×Dic43—24no—
175C22×Dic43—24no—
176C22×Dic43—24no—
177C22×Dic43C22×C414yes—
178C22×Dic43C22×C414yes—
179C22×Dic43C22×C414yes—
180C22×Dic43C2418yes—
181C22×Dic43C2411yescharacteristic
182C22×Dic43C2411yescharacteristic
183C22×Dic43C2411yescharacteristic
184C22×Dic43C2411yescharacteristic
185C22×Dic43C2411yescharacteristic
186C22×Dic43C2411yescharacteristic
187C2×C4×D43—24no—
188C2×C4×D43—24no—
189C2×C4×D43—24no—
190C2×C4×D43—24no—
191C2×C4×D43—232no—
192C2×C4×D43—232no—
193C2×C4×D43—232no—
194C2×C4×D43—24no—
195C2×C4×D43—24no—
196C2×C4×D43—24no—
197C2×C4×D43—24no—
198C2×C4×D43—24no—
199C2×C4×D43—24no—
200C2×C4×D43—216no—
201C2×C4×D43—216no—
202C2×C4×D43—216no—
203C2×C4×D43C22×C414yes—
204C2×C4×D43C22×C414yes—
205C2×C4×D43C22×C414yes—
206C2×C4×D43C22×C414yes—
207C2×C4×D43C22×C414yes—
208C2×C4×D43C22×C414yes—
209C2×C4×D43C22×C414yes—
210C2×C4×D43C22×C414yes—
211C2×C4×D43C22×C414yes—
212C2×C4×D43C22×C414yes—
213C2×C4×D43C22×C414yes—
214C2×C4×D43C22×C414yes—
215C2×C4×D43#4118yes—
216C2×C4×D43#4118yes—
217C4⋊C4×C43—28no—
218C22⋊C4×C43—28no—
219C42×C43—28no—
220C42×C43C22×C414yes—
221C42×C43C22×C414yes—
222C42×C43C22×C414yes—
223C42×C43C22×C414yes—
224C22⋊Dic43—28no—
225(C2×D43)⋊C4—216no—
226C4⋊Dic43—28no—
227Dic43⋊C4—216no—
228C4×Dic43—28no—
229C4×Dic43—216no—
230C4×Dic43C22×C414yes—
231C4×Dic43C22×C414yes—
232C4×Dic43C22×C414yes—
233C4×Dic43C22×C414yes—
234C4×Dic43C22×C414yes—
235C4×Dic43C22×C414yes—
236C4×Dic43C22×C414yes—
237C4×Dic43C22×C414yes—
238C4×Dic43C22×C414yes—
239C4×Dic43C22×C414yes—
240C4×Dic43C22×C414yes—
241C4×Dic43C22×C414yes—
242C23×C43—22no—
243C23×C43—22no—
244C23×C43C23×C412yes—
245C23×C43C2×#4114yes—
246C23×C43C2511yescharacteristic
247C22×D43—22no—
248C22×D43—22no—
249C22×D43—28no—
250C22×D43—28no—
251C22×D43—232no—
252C22×D43#117116yes—
253C22×D43C23×C412yes—
254C22×D43C23×C412yes—
255C22×D43C2×#4114yes—
256C22×D43C2×#4114yes—
257C22×D43C2×#4114yes—
258C22×D43C2×#4114yes—
259C2×C4×C43—28no—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—28no—
265C2×C4×C43—28no—
266C2×C4×C43—28no—
267C2×C4×C43—28no—
268C2×C4×C43—28no—
269C2×C4×C43C23×C412yes—
270C2×C4×C43C23×C412yes—
271C2×C4×C43C23×C412yes—
272C2×C4×C43C23×C412yes—
273C2×C4×C43C23×C412yes—
274C2×C4×C43C23×C412yes—
275C2×C4×C43C2×#4114yes—
276C2×C4×C43C2×#4114yes—
277C2×Dic43—28no—
278C2×Dic43—22no—
279C2×Dic43—22no—
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—28no—
283C2×Dic43—28no—
284C2×Dic43—28no—
285C2×Dic43—28no—
286C2×Dic43—28no—
287C2×Dic43C23×C412yes—
288C2×Dic43C23×C412yes—
289C2×Dic43C23×C412yes—
290C2×Dic43C23×C412yes—
291C2×Dic43C23×C412yes—
292C2×Dic43C23×C412yes—
293C2×Dic43C2×#4114yes—
294C2×Dic43C2×#4114yes—
295C4×D43—28no—
296C4×D43—28no—
297C4×D43—28no—
298C4×D43—28no—
299C4×D43—28no—
300C4×D43—28no—
301C4×D43—28no—
302C4×D43—28no—
303C4×D43—28no—
304C4×D43—28no—
305C4×D43—432no—
306C4×D43#117116yes—
307C4×D43#117116yes—
308C2×#2283—431nomaximal, Sylow
309C22×C43—22no—
310C22×C43—22no—
311C22×C43—28no—
312C22×C43C2×#11714yes—
313C22×C43C24×C411yescharacteristic
314C22×C43C22×#4112yes—
315C22×C43C22×#4112yes—
316C22×C43C22×#4112yes—
317C2×D43—22no—
318C2×D43—22no—
319C2×D43—28no—
320C2×D43—232no—
321C2×D43C2×#11714yes—
322C2×D43C2×#11714yes—
323C2×D43C2×#11714yes—
324C2×D43C2×#11714yes—
325C2×D43#529116yes—
326C4×C43—22no—
327C4×C43—22no—
328C4×C43—22no—
329C4×C43—22no—
330C4×C43—48no—
331C4×C43C2×#11714yes—
332C4×C43C2×#11714yes—
333Dic43—22no—
334Dic43—22no—
335Dic43—22no—
336Dic43—22no—
337Dic43—48no—
338Dic43C2×#11714yes—
339Dic43C2×#11714yes—
340C23×C42—431no—
341#2283—431no—
342#2283—432no—
343#2283—432no—
344#2283—432no—
345#2283—432no—
346#2283—432no—
347#2283—432no—
348#2283—432no—
349#2283D4311yescharacteristic, direct product factor
350C2×#383—432no—
351C2×#382—432no—
352C2×#381—432no—
353C2×#380—432no—
354C2×C4×C4⋊C4—432no—
355C2×C4×C22⋊C4—432no—
356C2×#376—432no—
357C2×C43—24no—
358C2×C43C22×#11711yescharacteristic
359C2×C43C22×#11711yescharacteristic
360C2×C43C22×#11711yescharacteristic
361C2×C43C2×#52914yes—
362D43—24no—
363D43#228318yesdirect product factor
364C24×C4—431no—
365C24×C4—431no—
366C24×C4—431no—
367C22×C4⋊C4—434no—
368C22×C22⋊C4—434no—
369C22×C42—431no—
370C22×C42—431no—
371C22×C42—431no—
372C22×C42—431no—
373C22×C42—431no—
374C22×C42—431no—
375C22×C42—431no—
376C22×C42—431no—
377C22×C42—431no—
378C22×C42—431no—
379C22×C42—431no—
380C22×C42—4316no—
381C22×C42—434no—
382C22×C42C2×D4311yescharacteristic
383#383—432no—
384#383—434no—
385#383—434no—
386#383—434no—
387#383C2×D4312yescomplemented
388#382—434no—
389#382—432no—
390#382—434no—
391#382—434no—
392#382C2×D4312yescomplemented
393#381—432no—
394#381—434no—
395#381—434no—
396#381—434no—
397#381C2×D4312yes—
398#380—432no—
399#380—434no—
400#380—434no—
401#380—434no—
402#380C2×D4312yes—
403C4×C4⋊C4—434no—
404C4×C4⋊C4—432no—
405C4×C4⋊C4—434no—
406C4×C4⋊C4—434no—
407C4×C4⋊C4C2×D4312yescomplemented
408C4×C22⋊C4—432no—
409C4×C22⋊C4—434no—
410C4×C22⋊C4—434no—
411C4×C22⋊C4—434no—
412C4×C22⋊C4C2×D4312yes—
413#376—434no—
414#376—432no—
415#376—434no—
416#376—434no—
417#376C2×D4312yescomplemented
418C2×#95—434no—
419C2×#95—434no—
420C2×#95—434no—
421C2×#95—434no—
422C43C2×#228311yescharacteristic, complemented, Sylow
423C25—431no—
424C23×C4—431no—
425C23×C4—431no—
426C23×C4—431no—
427C23×C4—431no—
428C23×C4—431no—
429C23×C4—438no—
430C23×C4—438no—
431C23×C4—438no—
432C23×C4—431no—
433C23×C4—431no—
434C23×C4—431no—
435C23×C4—431no—
436C23×C4—431no—
437C23×C4—431no—
438C23×C4—431no—
439C23×C4—431no—
440C23×C4—431no—
441C23×C4—431no—
442C23×C4—438no—
443C23×C4—868no—
444C23×C4—868no—
445C23×C4—868no—
446C23×C4C22×D4311yescharacteristic
447C23×C4C22×D4311yescharacteristic
448C23×C4C22×D4311yescharacteristic
449C2×C4⋊C4—438no—
450C2×C4⋊C4—434no—
451C2×C4⋊C4—8616no—
452C2×C4⋊C4C22×D4314yes—
453C2×C22⋊C4—434no—
454C2×C22⋊C4—438no—
455C2×C22⋊C4—8616no—
456C2×C22⋊C4C22×D4314yes—
457C2×C42—438no—
458C2×C42—438no—
459C2×C42—438no—
460C2×C42—431no—
461C2×C42—431no—
462C2×C42—431no—
463C2×C42—431no—
464C2×C42—431no—
465C2×C42—431no—
466C2×C42—431no—
467C2×C42—431no—
468C2×C42—431no—
469C2×C42—431no—
470C2×C42—431no—
471C2×C42—431no—
472C2×C42—438no—
473C2×C42—438no—
474C2×C42—438no—
475C2×C42—438no—
476C2×C42—438no—
477C2×C42—438no—
478C2×C42—438no—
479C2×C42—438no—
480C2×C42—438no—
481C2×C42—434no—
482C2×C42—8616no—
483C2×C42C4×D4318yescomplemented
484C2×C42C22×D4314yes—
485C2×C42C22×D4311yescharacteristic
486C2×C42C22×D4311yescharacteristic
487C2×C42C22×D4311yescharacteristic
488C2×C42C22×D4311yescharacteristic
489#95—438no—
490#95—434no—
491#95—438no—
492#95—434no—
493#95—438no—
494#95—434no—
495#95—438no—
496#95—434no—
497#95C22×D4314yes—
498#95C22×D4314yes—
499#95C22×D4314yes—
500#95C22×D4314yes—
501C24—431no—
502C24—434no—
503C24—438no—
504C24—431no—
505C24—864no—
506C24—864no—
507C24C23×D4311yescharacteristic
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—431no—
512C22×C4—431no—
513C22×C4—434no—
514C22×C4—434no—
515C22×C4—438no—
516C22×C4—438no—
517C22×C4—434no—
518C22×C4—434no—
519C22×C4—434no—
520C22×C4—431no—
521C22×C4—431no—
522C22×C4—431no—
523C22×C4—431no—
524C22×C4—434no—
525C22×C4—434no—
526C22×C4—434no—
527C22×C4—434no—
528C22×C4—434no—
529C22×C4—434no—
530C22×C4—434no—
531C22×C4—434no—
532C22×C4—434no—
533C22×C4—434no—
534C22×C4—438no—
535C22×C4—864no—
536C22×C4—864no—
537C22×C4—8632no—
538C22×C4—8632no—
539C22×C4—8632no—
540C22×C4—864no—
541C22×C4—864no—
542C22×C4—864no—
543C22×C4—864no—
544C22×C4—864no—
545C22×C4—864no—
546C22×C4—8616no—
547C22×C4—8616no—
548C22×C4—8616no—
549C22×C4—864no—
550C22×C4—864no—
551C22×C4—864no—
552C22×C4—864no—
553C22×C4—864no—
554C22×C4C2×C4×D4314yes—
555C22×C4C2×C4×D4314yes—
556C22×C4C2×C4×D4314yes—
557C22×C4C23×D4318yes—
558C22×C4C23×D4311yescharacteristic
559C22×C4C23×D4311yescharacteristic
560C22×C4C23×D4311yescharacteristic
561C22×C4C23×D4311yescharacteristic
562C22×C4C23×D4311yescharacteristic
563C22×C4C23×D4311yescharacteristic
564C4⋊C4—28no—
565C4⋊C4—8616no—
566C4⋊C4—868no—
567C22⋊C4—28no—
568C22⋊C4—8616no—
569C22⋊C4—868no—
570C42—28no—
571C42—434no—
572C42—434no—
573C42—434no—
574C42—434no—
575C42—434no—
576C42—434no—
577C42—434no—
578C42—434no—
579C42—434no—
580C42—434no—
581C42—434no—
582C42—434no—
583C42—8616no—
584C42—868no—
585C42C2×C4×D4314yes—
586C42C2×C4×D4314yes—
587C42C2×C4×D4314yes—
588C42C2×C4×D4314yes—
589C23—22no—
590C23—22no—
591C23—432no—
592C23—434no—
593C23—434no—
594C23—434no—
595C23—4316no—
596C23—432no—
597C23—434no—
598C23—868no—
599C23—868no—
600C23—8632no—
601C23—862no—
602C23—862no—
603C23C22×C4×D4312yes—
604C23#41×D4314yes—
605C23C24×D4311yescharacteristic
606C2×C4—28no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—28no—
612C2×C4—28no—
613C2×C4—28no—
614C2×C4—28no—
615C2×C4—28no—
616C2×C4—432no—
617C2×C4—432no—
618C2×C4—434no—
619C2×C4—434no—
620C2×C4—4316no—
621C2×C4—4316no—
622C2×C4—432no—
623C2×C4—432no—
624C2×C4—432no—
625C2×C4—432no—
626C2×C4—868no—
627C2×C4—868no—
628C2×C4—868no—
629C2×C4—868no—
630C2×C4—868no—
631C2×C4—868no—
632C2×C4—868no—
633C2×C4—868no—
634C2×C4—868no—
635C2×C4—868no—
636C2×C4—868no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—862no—
640C2×C4—862no—
641C2×C4—868no—
642C2×C4—868no—
643C2×C4—868no—
644C2×C4—868no—
645C2×C4—868no—
646C2×C4—17232no—
647C2×C4C22×C4×D4312yes—
648C2×C4C22×C4×D4312yes—
649C2×C4C22×C4×D4312yes—
650C2×C4C22×C4×D4312yes—
651C2×C4C22×C4×D4312yes—
652C2×C4C22×C4×D4312yes—
653C2×C4#41×D4314yes—
654C2×C4#41×D4314yes—
655C22—28no—
656C22—22no—
657C22—22no—
658C22—4316no—
659C22—434no—
660C22—434no—
661C22—434no—
662C22—434no—
663C22—8632no—
664C22—868no—
665C22—862no—
666C22—862no—
667C22#117×D4314yes—
668C22C23×C4×D4311yescharacteristic
669C22C2×#41×D4312yes—
670C22C2×#41×D4312yes—
671C22C2×#41×D4312yes—
672C4—22no—
673C4—22no—
674C4—22no—
675C4—22no—
676C4—48no—
677C4—434no—
678C4—434no—
679C4—862no—
680C4—862no—
681C4—862no—
682C4—862no—
683C4—1728no—
684C4#117×D4314yes—
685C4#117×D4314yes—
686C2—24no—
687C2—438no—
688C2—864no—
689C2C2×#117×D4311yescharacteristic
690C2C2×#117×D4311yescharacteristic
691C2C2×#117×D4311yescharacteristic
692C2#529×D4314yes—
subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC43×#2283C2
socle, cosocleC23×C43C25
prime radicalC24×D43C23
hypercenter#2283D43
hypocenterC43C2×#2283
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #2283

Complements

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

NH ≅ G/Ntype
2. #19136993C2semidirect
3. #19136992C2semidirect
4. #19136991C2semidirect
5. #19136990C2semidirect
6. #19136989C2semidirect
7. #19136988C2semidirect
8. #19136987C2semidirect
9. #19136986C2semidirect
10. #383×D43C2semidirect
11. #382×D43C2semidirect
14. C4×C4⋊C4×D43C2semidirect
16. #376×D43C2semidirect
17. C43×#2283C2semidirect
26. C2×C42×D43C4semidirect
36. #14582767C22semidirect
37. #14582766C22semidirect
38. #14582766C22semidirect
39. #14582766C22semidirect
40. #14582765C22semidirect
41. #14582764C22semidirect
42. #14582763C22semidirect
43. #14582763C22semidirect
52. C4⋊C4×Dic43C22semidirect
53. C4×Dic43⋊C4C22semidirect
54. C4×C4⋊Dic43C22semidirect
55. #14582750C22semidirect
60. #14582745C22semidirect
61. #14582745C22semidirect
62. #14582744C22semidirect
63. #14582744C22semidirect
69. C43×#383C22semidirect
70. C43×#382C22semidirect
73. C4×C4⋊C4×C43C22semidirect
75. C43×#376C22semidirect
105. C2×C4×Dic43C2×C4semidirect
106. C2×C4×Dic43C2×C4semidirect
107. C2×C4×Dic43C2×C4semidirect
127. C42×D43C2×C4semidirect
128. C42×D43C2×C4semidirect
129. C42×D43C2×C4semidirect
130. C42×D43C2×C4semidirect
144. C2×C42×C43C2×C4semidirect
349. #2283D43direct (N × H)
363. D43#2283direct (N × H)
387. #383C2×D43semidirect
392. #382C2×D43semidirect
407. C4×C4⋊C4C2×D43semidirect
417. #376C2×D43semidirect
422. C43C2×#2283semidirect
483. C2×C42C4×D43semidirect

Maximal subgroups

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

subgroupindex
C22×C42×D432
#191369932
#191369922
#191369912
#191369902
#191369892
#191369882
#191369872
#191369862
#383×D432
#382×D432
#381×D432
#380×D432
C4×C4⋊C4×D432
C4×C22⋊C4×D432
#376×D432
C43×#22832
C2×#228343