Finite Group Databasebeta

← C43×#61251 #24981268

Subgroups — C43×#61251 #24981268

Order 11008.

1842 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3475C212yesmaximal, complemented
2C43×#3357C212yesmaximal, complemented
3C43×#3356C212yesmaximal, complemented
4C43×#3355C212yesmaximal, complemented
5C43×#3354C212yesmaximal, complemented
6C43×#3353C212yesmaximal, complemented
7C43×#3352C212yesmaximal, complemented
8C43×#3351C214yesmaximal, complemented
9C43×#3160C211yesmaximal, characteristic, complemented
10C43×#3091C214yesmaximal, complemented
11C43×#3076C212yesmaximal, complemented
12C43×#3054C212yesmaximal, complemented
13C4×#135×C43C211yesmaximal, characteristic, complemented
14C2×C43×#436C211yesmaximal, characteristic, complemented
15C43×#2911C212yesmaximal, complemented
16C2×#135×C43C2211yescharacteristic
17C22×M16×C43C2212yes—
18C43×#556C2212yes—
19C43×#555C2212yes—
20C43×#554C2212yes—
21C43×#553C2214yes—
22C43×#552—22no—
23C43×#552C2214yes—
24C43×#551—24no—
25C43×#547C2212yes—
26C43×#546—22no—
27C43×#533C2212yes—
28C43×#529—24no—
29C43×#529—22no—
30C43×#525C2214yes—
31C4×#41×C43—22no—
32C4×#41×C43C2212yes—
33C2×C4×D4×C43C2211yescharacteristic
34C2×#117×C43C2214yes—
35C43×#500C2211yescharacteristic, complemented
36C43×#500C2211yescharacteristic, complemented
37C43×#499C2212yescomplemented
38C43×#499C2212yescomplemented
39C43×#498C2212yescomplemented
40C43×#485C2214yescomplemented
41C43×#485C2214yescomplemented
42C43×#484C2214yescomplemented
43C43×#483C2214yescomplemented
44C43×#482C2214yescomplemented
45C43×#482C2214yescomplemented
46C43×#481C2214yescomplemented
47C43×#480C2214yescomplemented
48C43×#479C2214yescomplemented
49C43×#478C2214yescomplemented
50C43×#477C2212yescomplemented
51C43×#476C2212yescomplemented
52C43×#475C2212yescomplemented
53C43×#474C2212yescomplemented
54C43×#470C2214yescomplemented
55C43×#469C2214yescomplemented
56C43×#468C2214yescomplemented
57C43×#468C2214yescomplemented
58C4×Q16×C43C2211yescharacteristic, complemented
59C4×Q16×C43C2211yescharacteristic, complemented
60C4×SD16×C43C2212yescomplemented
61C4×SD16×C43C2212yescomplemented
62C4×D8×C43C2211yescharacteristic, complemented
63C4×D8×C43C2211yescharacteristic, complemented
64C43×#436C2212yes—
65C43×#436C2212yes—
66C43×#436C2212yes—
67C43×#436C2212yes—
68C43×#428C2214yescomplemented
69C43×#428C2214yescomplemented
70C43×#428C2214yescomplemented
71C43×#428C2214yescomplemented
72C43×#427C2212yes—
73C43×#427C2214yes—
74C43×#427C2212yes—
75C43×#427C2211yescharacteristic
76C2×C4⋊C8×C43C2211yescharacteristic
77C43×#416C2212yes—
78C43×#416C2214yes—
79C2×C22⋊C8×C43C2212yes—
80C2×C4×C8×C43C2211yescharacteristic
81C2×#41×C43—22no—
82C2×#41×C43C2312yes—
83C22×D4×C43D411yescharacteristic
84C23×C4×C43C2312yes—
85#135×C43—24no—
86C2×Q16×C43C2311yescharacteristic
87C2×SD16×C43C2312yes—
88C2×D8×C43C2311yescharacteristic
89C2×M16×C43—28no—
90C2×M16×C43C2314yes—
91C2×M16×C43C2314yes—
92C22×C8×C43C2312yes—
93C22×C8×C43C2311yescharacteristic
94C22×C8×C43C2311yescharacteristic
95C4⋊Q8×C43C2312yes—
96C4⋊Q8×C43C2312yes—
97#126×C43—24no—
98#126×C43—24no—
99#126×C43—24no—
100#125×C43—24no—
101#125×C43—22no—
102#125×C43C2314yes—
103#124×C43—22no—
104#124×C43—24no—
105#123×C43—24no—
106#123×C43—24no—
107#123×C43—24no—
108#123×C43—24no—
109C22⋊Q8×C43—22no—
110C22⋊Q8×C43—22no—
111C22⋊Q8×C43—22no—
112C22⋊Q8×C43—24no—
113C22⋊Q8×C43C2314yes—
114C22⋊Q8×C43C2314yes—
115#121×C43—24no—
116#121×C43—22no—
117#121×C43C2314yes—
118#121×C43C2314yes—
119#120×C43—24no—
120C4×Q8×C43—22no—
121C4×Q8×C43—22no—
122C4×Q8×C43—22no—
123C4×Q8×C43C2312yes—
124C4×Q8×C43C2312yes—
125C4×D4×C43—22no—
126C4×D4×C43—24no—
127C4×D4×C43—22no—
128C4×D4×C43—22no—
129C4×D4×C43—24no—
130C4×D4×C43—24no—
131C4×D4×C43D412yes—
132C4×D4×C43D412yes—
133C4×D4×C43C2312yes—
134C4×D4×C43C2312yes—
135C4×D4×C43C2312yes—
136C4×D4×C43C2312yes—
137#117×C43—24no—
138#117×C43—24no—
139#117×C43—22no—
140#117×C43—24no—
141#117×C43—22no—
142#117×C43C2312yes—
143#117×C43C2314yes—
144#117×C43C2314yes—
145#117×C43C2314yes—
146C2×C4⋊C4×C43D411yescharacteristic
147C2×C4⋊C4×C43C2314yes—
148C2×C4⋊C4×C43C2314yes—
149C2×C22⋊C4×C43—24no—
150C2×C22⋊C4×C43D412yes—
151C2×C42×C43—24no—
152C2×C42×C43—22no—
153C2×C42×C43C2311yescharacteristic
154#107×C43C2312yes—
155#107×C43C2312yes—
156#107×C43C2312yes—
157#107×C43C2312yes—
158#107×C43C2311yescharacteristic
159#107×C43C2311yescharacteristic
160#107×C43C2314yes—
161#107×C43C2314yes—
162#106×C43C2314yes—
163#106×C43C2314yes—
164#106×C43C2312yes—
165#106×C43C2314yes—
166#106×C43C2314yes—
167C4⋊C8×C43C2312yes—
168C4⋊C8×C43C2312yes—
169#103×C43C2312yes—
170#103×C43C2312yes—
171#103×C43C2314yes—
172#103×C43C2314yes—
173#102×C43C2312yes—
174#102×C43C2312yes—
175#102×C43C2314yes—
176#102×C43C2314yes—
177C22⋊C8×C43C2314yes—
178C22⋊C8×C43C2314yes—
179C4×C8×C43C2311yescharacteristic
180C4×C8×C43C2311yescharacteristic
181C4×C8×C43C2311yescharacteristic
182C4×C8×C43C2311yescharacteristic
183C24×C43C2×D412yes—
184#41×C43—24no—
185#41×C43—24no—
186#41×C43—48no—
187C2×Q8×C43—22no—
188C2×Q8×C43—22no—
189C2×Q8×C43C2412yes—
190C2×D4×C43—22no—
191C2×D4×C43—24no—
192C2×D4×C43—24no—
193C2×D4×C43—42no—
194C2×D4×C43C2×D412yes—
195C2×D4×C43C2×D412yes—
196C2×D4×C43C2412yes—
197C22×C4×C43—24no—
198C22×C4×C43—24no—
199C22×C4×C43—22no—
200C22×C4×C43—22no—
201C22×C4×C43—22no—
202C22×C4×C43—24no—
203C22×C4×C43—24no—
204C22×C4×C43C2×D411yescharacteristic
205C22×C4×C43C2×D412yes—
206C22×C4×C43C2×D414yes—
207C22×C4×C43C2×D411yescharacteristic
208C22×C4×C43C2414yes—
209C22×C4×C43C2411yescharacteristic
210Q16×C43—22no—
211SD16×C43—24no—
212D8×C43—22no—
213M16×C43—28no—
214M16×C43—28no—
215C2×C8×C43—24no—
216C2×C8×C43—22no—
217C2×C8×C43#4114yescomplemented
218C2×C8×C43C2411yescharacteristic
219C2×C8×C43C2411yescharacteristic
220C2×C8×C43C2414yes—
221C2×C8×C43C2411yescharacteristic
222C2×C8×C43C2411yescharacteristic
223C4⋊C4×C43—24no—
224C4⋊C4×C43—24no—
225C4⋊C4×C43—22no—
226C4⋊C4×C43—24no—
227C4⋊C4×C43—24no—
228C4⋊C4×C43—22no—
229C4⋊C4×C43—22no—
230C4⋊C4×C43—24no—
231C4⋊C4×C43—24no—
232C4⋊C4×C43—22no—
233C4⋊C4×C43C2×D412yes—
234C4⋊C4×C43C2×D412yes—
235C4⋊C4×C43C2412yes—
236C4⋊C4×C43C2412yes—
237C4⋊C4×C43C2414yes—
238C4⋊C4×C43C2414yes—
239C22⋊C4×C43—24no—
240C22⋊C4×C43—22no—
241C22⋊C4×C43—22no—
242C22⋊C4×C43—24no—
243C22⋊C4×C43—22no—
244C22⋊C4×C43—24no—
245C22⋊C4×C43—24no—
246C22⋊C4×C43—24no—
247C22⋊C4×C43—24no—
248C22⋊C4×C43—24no—
249C22⋊C4×C43C2×D414yes—
250C22⋊C4×C43C2×D414yes—
251C42×C43—24no—
252C42×C43—22no—
253C42×C43—24no—
254C42×C43—22no—
255C42×C43—22no—
256C42×C43—24no—
257C42×C43C2×D411yescharacteristic
258C42×C43C2×D411yescharacteristic
259C42×C43C2411yescharacteristic
260C42×C43C2411yescharacteristic
261C23×C43—24no—
262C23×C43—22no—
263C23×C43—42no—
264C23×C43—42no—
265C23×C43C22×D414yes—
266C23×C43C22×D411yescharacteristic
267Q8×C43—22no—
268Q8×C43—22no—
269Q8×C43—44no—
270Q8×C43—82no—
271D4×C43—24no—
272D4×C43—22no—
273D4×C43—22no—
274D4×C43—42no—
275D4×C43—48no—
276D4×C43—44no—
277D4×C43—84no—
278C2×C4×C43—24no—
279C2×C4×C43—28no—
280C2×C4×C43—22no—
281C2×C4×C43—24no—
282C2×C4×C43—24no—
283C2×C4×C43—22no—
284C2×C4×C43—22no—
285C2×C4×C43—22no—
286C2×C4×C43—24no—
287C2×C4×C43—24no—
288C2×C4×C43—41no—
289C2×C4×C43—48no—
290C2×C4×C43—44no—
291C2×C4×C43—44no—
292C2×C4×C43—82no—
293C2×C4×C43—84no—
294C2×C4×C43C22×D411yescharacteristic
295C2×C4×C43C22×D414yes—
296C2×C4×C43C22×D411yescharacteristic
297C2×C4×C43C22×D411yescharacteristic
298C2×C4×C43C22×D411yescharacteristic
299C2×C4×C43C22×D411yescharacteristic
300C2×C4×C43C2×#4112yes—
301C2×C4×C432−1+412yes—
302C2×C4×C43C2511yescharacteristic
303C8×C43—24no—
304C8×C43—21no—
305C8×C43—21no—
306C8×C43C2×#4112yes—
307C8×C43C2×#4112yes—
308#61251C4311yesmaximal, characteristic, direct product factor, Sylow
309C22×C43—21no—
310C22×C43—21no—
311C22×C43—24no—
312C22×C43—24no—
313C22×C43—24no—
314C22×C43—42no—
315C22×C43—42no—
316C22×C43—42no—
317C22×C43—84no—
318C22×C43#54712yes—
319C22×C43C23×D411yescharacteristic
320C4×C43—21no—
321C4×C43—21no—
322C4×C43—24no—
323C4×C43—21no—
324C4×C43—42no—
325C4×C43—44no—
326C4×C43—42no—
327C4×C43—42no—
328C4×C43—44no—
329C4×C43#54712yes—
330C4×C43#57512yes—
331C4×C43C22×#4111yescharacteristic
332C4×C43C2×2−1+411yescharacteristic
333#3475C2×C4312yescomplemented
334#3357C2×C4312yescomplemented
335#3356C2×C4312yescomplemented
336#3355C2×C4312yescomplemented
337#3354C2×C4312yescomplemented
338#3353C2×C4312yescomplemented
339#3352C2×C4312yescomplemented
340#3351C2×C4314yescomplemented
341#3160C2×C4311yescharacteristic, complemented
342#3091C2×C4314yescomplemented
343#3076C2×C4312yescomplemented
344#3054C2×C4312yescomplemented
345C4×#135C2×C4311yescharacteristic, complemented
346C2×#436C2×C4311yescharacteristic, complemented
347#2911C2×C4312yescomplemented
348C2×C43—22no—
349C2×C43—44no—
350C2×C43—82no—
351C2×C43C2×#54711yescharacteristic
352C2×C43C2×#57511yescharacteristic
353C2×C43#358411yescharacteristic
354C2×#135C22×C4311yescharacteristic
355C22×M16C22×C4312yes—
356#556C22×C4312yes—
357#555C22×C4312yes—
358#554C22×C4312yes—
359#553C22×C4314yes—
360#552—22no—
361#552C22×C4314yes—
362#551—24no—
363#547C22×C4312yes—
364#546—22no—
365#533C22×C4312yes—
366#529—24no—
367#529—22no—
368#525C22×C4314yes—
369C4×#41—22no—
370C4×#41C22×C4312yes—
371C2×C4×D4C22×C4311yescharacteristic
372C2×#117C22×C4314yes—
373#500C22×C4311yescharacteristic, complemented
374#500C22×C4311yescharacteristic, complemented
375#499C22×C4312yescomplemented
376#499C22×C4312yescomplemented
377#498C22×C4312yescomplemented
378#485C22×C4314yescomplemented
379#485C22×C4314yescomplemented
380#484C22×C4314yescomplemented
381#483C22×C4314yescomplemented
382#482C22×C4314yescomplemented
383#482C22×C4314yescomplemented
384#481C22×C4314yescomplemented
385#480C22×C4314yescomplemented
386#479C22×C4314yescomplemented
387#478C22×C4314yescomplemented
388#477C22×C4312yescomplemented
389#476C22×C4312yescomplemented
390#475C22×C4312yescomplemented
391#474C22×C4312yescomplemented
392#470C22×C4314yescomplemented
393#469C22×C4314yescomplemented
394#468C22×C4314yescomplemented
395#468C22×C4314yescomplemented
396C4×Q16C22×C4311yescharacteristic, complemented
397C4×Q16C22×C4311yescharacteristic, complemented
398C4×SD16C22×C4312yescomplemented
399C4×SD16C22×C4312yescomplemented
400C4×D8C22×C4311yescharacteristic, complemented
401C4×D8C22×C4311yescharacteristic, complemented
402#436C22×C4312yes—
403#436C22×C4312yes—
404#436C22×C4312yes—
405#436C22×C4312yes—
406#428C22×C4314yescomplemented
407#428C22×C4314yescomplemented
408#428C22×C4314yescomplemented
409#428C22×C4314yescomplemented
410#427C22×C4314yes—
411#427C22×C4312yes—
412#427C22×C4312yes—
413#427C22×C4311yescharacteristic
414C2×C4⋊C8C22×C4311yescharacteristic
415#416C22×C4314yes—
416#416C22×C4312yes—
417C2×C22⋊C8C22×C4312yes—
418C2×C4×C8C22×C4311yescharacteristic
419C43#6125111yescharacteristic, direct product factor, Sylow
420C2×#41—22no—
421C2×#41C23×C4312yes—
422C22×D4D4×C4311yescharacteristic
423C23×C4C23×C4312yes—
424#135—24no—
425C2×Q16C23×C4311yescharacteristic
426C2×SD16C23×C4312yes—
427C2×D8C23×C4311yescharacteristic
428C2×M16—28no—
429C2×M16C23×C4314yes—
430C2×M16C23×C4314yes—
431C22×C8C23×C4312yes—
432C22×C8C23×C4311yescharacteristic
433C22×C8C23×C4311yescharacteristic
434C4⋊Q8C23×C4312yes—
435C4⋊Q8C23×C4312yes—
436#126—24no—
437#126—24no—
438#126—24no—
439#125—24no—
440#125—22no—
441#125C23×C4314yes—
442#124—22no—
443#124—24no—
444#123—24no—
445#123—24no—
446#123—24no—
447#123—24no—
448C22⋊Q8—22no—
449C22⋊Q8—22no—
450C22⋊Q8—22no—
451C22⋊Q8—24no—
452C22⋊Q8C23×C4314yes—
453C22⋊Q8C23×C4314yes—
454#121—24no—
455#121—22no—
456#121C23×C4314yes—
457#121C23×C4314yes—
458#120—24no—
459C4×Q8—22no—
460C4×Q8—22no—
461C4×Q8—22no—
462C4×Q8C23×C4312yes—
463C4×Q8C23×C4312yes—
464C4×D4—22no—
465C4×D4—24no—
466C4×D4—22no—
467C4×D4—22no—
468C4×D4—24no—
469C4×D4—24no—
470C4×D4D4×C4312yes—
471C4×D4D4×C4312yes—
472C4×D4C23×C4312yes—
473C4×D4C23×C4312yes—
474C4×D4C23×C4312yes—
475C4×D4C23×C4312yes—
476#117—24no—
477#117—24no—
478#117—22no—
479#117—24no—
480#117—22no—
481#117C23×C4312yes—
482#117C23×C4314yes—
483#117C23×C4314yes—
484#117C23×C4314yes—
485C2×C4⋊C4D4×C4311yescharacteristic
486C2×C4⋊C4C23×C4314yes—
487C2×C4⋊C4C23×C4314yes—
488C2×C22⋊C4—24no—
489C2×C22⋊C4D4×C4312yes—
490C2×C42—24no—
491C2×C42—22no—
492C2×C42C23×C4311yescharacteristic
493#107C23×C4311yescharacteristic
494#107C23×C4311yescharacteristic
495#107C23×C4312yes—
496#107C23×C4312yes—
497#107C23×C4314yes—
498#107C23×C4314yes—
499#107C23×C4312yes—
500#107C23×C4312yes—
501#106C23×C4312yes—
502#106C23×C4314yes—
503#106C23×C4314yes—
504#106C23×C4314yes—
505#106C23×C4314yes—
506C4⋊C8C23×C4312yes—
507C4⋊C8C23×C4312yes—
508#103C23×C4312yes—
509#103C23×C4312yes—
510#103C23×C4314yes—
511#103C23×C4314yes—
512#102C23×C4312yes—
513#102C23×C4312yes—
514#102C23×C4314yes—
515#102C23×C4314yes—
516C22⋊C8C23×C4314yes—
517C22⋊C8C23×C4314yes—
518C4×C8C23×C4311yescharacteristic
519C4×C8C23×C4311yescharacteristic
520C4×C8C23×C4311yescharacteristic
521C4×C8C23×C4311yescharacteristic
522C24C2×D4×C4312yes—
523#41—24no—
524#41—24no—
525#41—48no—
526C2×Q8—22no—
527C2×Q8—22no—
528C2×Q8C24×C4312yes—
529C2×D4—22no—
530C2×D4—24no—
531C2×D4—24no—
532C2×D4—42no—
533C2×D4C2×D4×C4312yes—
534C2×D4C2×D4×C4312yes—
535C2×D4C24×C4312yes—
536C22×C4—24no—
537C22×C4—24no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4C2×D4×C4314yes—
544C22×C4C2×D4×C4311yescharacteristic
545C22×C4C2×D4×C4312yes—
546C22×C4C2×D4×C4311yescharacteristic
547C22×C4C24×C4314yes—
548C22×C4C24×C4311yescharacteristic
549Q16—22no—
550SD16—24no—
551D8—22no—
552M16—28no—
553M16—28no—
554C2×C8—24no—
555C2×C8—22no—
556C2×C8#41×C4314yescomplemented
557C2×C8C24×C4311yescharacteristic
558C2×C8C24×C4311yescharacteristic
559C2×C8C24×C4314yes—
560C2×C8C24×C4311yescharacteristic
561C2×C8C24×C4311yescharacteristic
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—22no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—24no—
570C4⋊C4—24no—
571C4⋊C4—22no—
572C4⋊C4C2×D4×C4312yes—
573C4⋊C4C2×D4×C4312yes—
574C4⋊C4C24×C4312yes—
575C4⋊C4C24×C4312yes—
576C4⋊C4C24×C4314yes—
577C4⋊C4C24×C4314yes—
578C22⋊C4—22no—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—24no—
582C22⋊C4—24no—
583C22⋊C4—24no—
584C22⋊C4—24no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—24no—
588C22⋊C4C2×D4×C4314yes—
589C22⋊C4C2×D4×C4314yes—
590C42—22no—
591C42—24no—
592C42—22no—
593C42—24no—
594C42—24no—
595C42—22no—
596C42C2×D4×C4311yescharacteristic
597C42C2×D4×C4311yescharacteristic
598C42C24×C4311yescharacteristic
599C42C24×C4311yescharacteristic
600C23—24no—
601C23—22no—
602C23—42no—
603C23—42no—
604C23C22×D4×C4314yes—
605C23C22×D4×C4311yescharacteristic
606Q8—22no—
607Q8—22no—
608Q8—44no—
609Q8—82no—
610D4—24no—
611D4—22no—
612D4—22no—
613D4—42no—
614D4—48no—
615D4—44no—
616D4—84no—
617C2×C4—24no—
618C2×C4—28no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—41no—
628C2×C4—48no—
629C2×C4—44no—
630C2×C4—44no—
631C2×C4—82no—
632C2×C4—84no—
633C2×C4C22×D4×C4311yescharacteristic
634C2×C4C22×D4×C4314yes—
635C2×C4C22×D4×C4311yescharacteristic
636C2×C4C22×D4×C4311yescharacteristic
637C2×C4C22×D4×C4311yescharacteristic
638C2×C4C22×D4×C4311yescharacteristic
639C2×C4C2×#41×C4312yes—
640C2×C42−1+4×C4312yes—
641C2×C4C25×C4311yescharacteristic
642C8—24no—
643C8—21no—
644C8—21no—
645C8C2×#41×C4312yes—
646C8C2×#41×C4312yes—
647C22—21no—
648C22—21no—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—84no—
656C22C43×#54712yes—
657C22C23×D4×C4311yescharacteristic
658C4—24no—
659C4—21no—
660C4—21no—
661C4—21no—
662C4—42no—
663C4—42no—
664C4—44no—
665C4—42no—
666C4—44no—
667C4C43×#54712yes—
668C4C43×#57512yes—
669C4C22×#41×C4311yescharacteristic
670C4C2×2−1+4×C4311yescharacteristic
671C2—22no—
672C2—44no—
673C2—82no—
674C2C2×C43×#54711yescharacteristic
675C2C2×C43×#57511yescharacteristic
676C2C43×#358411yescharacteristic
subgroupG/H
centerC2×C4×C43C22×D4
commutator, Frattini, cosocleC2×C4C25×C43
socleC22×C43C23×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C43 ◁ C2×C4×D4×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#3475C2semidirect
2. C43×#3357C2semidirect
3. C43×#3356C2semidirect
4. C43×#3355C2semidirect
5. C43×#3354C2semidirect
6. C43×#3353C2semidirect
7. C43×#3352C2semidirect
8. C43×#3351C2semidirect
9. C43×#3160C2semidirect
10. C43×#3091C2semidirect
11. C43×#3076C2semidirect
12. C43×#3054C2semidirect
13. C4×#135×C43C2semidirect
14. C2×C43×#436C2semidirect
15. C43×#2911C2semidirect
35. C43×#500C22semidirect
36. C43×#500C22semidirect
37. C43×#499C22semidirect
38. C43×#499C22semidirect
39. C43×#498C22semidirect
40. C43×#485C22semidirect
41. C43×#485C22semidirect
42. C43×#484C22semidirect
43. C43×#483C22semidirect
44. C43×#482C22semidirect
45. C43×#482C22semidirect
46. C43×#481C22semidirect
47. C43×#480C22semidirect
48. C43×#479C22semidirect
49. C43×#478C22semidirect
50. C43×#477C22semidirect
51. C43×#476C22semidirect
52. C43×#475C22semidirect
53. C43×#474C22semidirect
54. C43×#470C22semidirect
55. C43×#469C22semidirect
56. C43×#468C22semidirect
57. C43×#468C22semidirect
58. C4×Q16×C43C22semidirect
59. C4×Q16×C43C22semidirect
60. C4×SD16×C43C22semidirect
61. C4×SD16×C43C22semidirect
62. C4×D8×C43C22semidirect
63. C4×D8×C43C22semidirect
68. C43×#428C22semidirect
69. C43×#428C22semidirect
70. C43×#428C22semidirect
71. C43×#428C22semidirect
217. C2×C8×C43#41semidirect
308. #61251C43direct (N × H)
333. #3475C2×C43semidirect
334. #3357C2×C43semidirect
335. #3356C2×C43semidirect
336. #3355C2×C43semidirect
337. #3354C2×C43semidirect
338. #3353C2×C43semidirect
339. #3352C2×C43semidirect
340. #3351C2×C43semidirect
341. #3160C2×C43semidirect
342. #3091C2×C43semidirect
343. #3076C2×C43semidirect
344. #3054C2×C43semidirect
345. C4×#135C2×C43semidirect
346. C2×#436C2×C43semidirect
347. #2911C2×C43semidirect
373. #500C22×C43semidirect
374. #500C22×C43semidirect
375. #499C22×C43semidirect
376. #499C22×C43semidirect
377. #498C22×C43semidirect
378. #485C22×C43semidirect
379. #485C22×C43semidirect
380. #484C22×C43semidirect
381. #483C22×C43semidirect
382. #482C22×C43semidirect
383. #482C22×C43semidirect
384. #481C22×C43semidirect
385. #480C22×C43semidirect
386. #479C22×C43semidirect
387. #478C22×C43semidirect
388. #477C22×C43semidirect
389. #476C22×C43semidirect
390. #475C22×C43semidirect
391. #474C22×C43semidirect
392. #470C22×C43semidirect
393. #469C22×C43semidirect
394. #468C22×C43semidirect
395. #468C22×C43semidirect
396. C4×Q16C22×C43semidirect
397. C4×Q16C22×C43semidirect
398. C4×SD16C22×C43semidirect
399. C4×SD16C22×C43semidirect
400. C4×D8C22×C43semidirect
401. C4×D8C22×C43semidirect
406. #428C22×C43semidirect
407. #428C22×C43semidirect
408. #428C22×C43semidirect
409. #428C22×C43semidirect
419. C43#61251direct (N × H)
556. C2×C8#41×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#34752
C43×#33572
C43×#33562
C43×#33552
C43×#33542
C43×#33532
C43×#33522
C43×#33512
C43×#31602
C43×#30912
C43×#30762
C43×#30542
C4×#135×C432
C2×C43×#4362
C43×#29112
#6125143