Finite Group Databasebeta

← C43×#18026 #24938043

Subgroups — C43×#18026 #24938043

Order 11008.

656 conjugacy classes of subgroups.

The subgroup lattice has 630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3100C211yesmaximal, characteristic
2C43×#2979C211yesmaximal, characteristic, complemented
3C43×#2974C211yesmaximal, characteristic, complemented
4C43×#1594C211yesmaximal, characteristic, complemented
5C43×#1589C211yesmaximal, characteristic, complemented
6C43×#1586C211yesmaximal, characteristic, complemented
7C43×#1586C211yesmaximal, characteristic, complemented
8C43×#1581C211yesmaximal, characteristic, complemented
9C43×#1581C211yesmaximal, characteristic, complemented
10C43×#1580C211yesmaximal, characteristic, complemented
11C8×D8×C43C211yesmaximal, characteristic, complemented
12C43×#1572C211yesmaximal, characteristic, complemented
13C43×#1496C211yesmaximal, characteristic, complemented
14C43×#1478C211yesmaximal, characteristic, complemented
15C43×#1454C211yesmaximal, characteristic, complemented
16C43×#532C2211yescharacteristic
17C2×C4×D4×C43C2211yescharacteristic
18C43×#480C411yescharacteristic
19C43×#480C411yescharacteristic
20C43×#474C411yescharacteristic
21C43×#474C411yescharacteristic
22C43×#459C411yescharacteristic
23C43×#459C411yescharacteristic
24C43×#447C411yescharacteristic
25C43×#447C411yescharacteristic
26C4×D8×C43C2211yescharacteristic
27C4×D8×C43C2211yescharacteristic
28C4×D8×C43C2211yescharacteristic
29C4×D8×C43C2211yescharacteristic
30C43×#436—21no—
31C43×#436C2211yescharacteristic
32C43×#436C2211yescharacteristic
33C43×#436C2211yescharacteristic, complemented
34C43×#436C2211yescharacteristic, complemented
35C43×#435—21no—
36C43×#435—21no—
37C8×D4×C43—21no—
38C8×D4×C43C2211yescharacteristic
39C8×D4×C43C2211yescharacteristic
40C8×D4×C43C2211yescharacteristic, complemented
41C8×D4×C43C2211yescharacteristic, complemented
42C43×#432C2211yescharacteristic
43C43×#431C2211yescharacteristic
44C43×#431C2211yescharacteristic
45C43×#431C2211yescharacteristic
46C43×#431C2211yescharacteristic
47C43×#408—21no—
48C43×#408—21no—
49C43×#407—21no—
50C2×C22⋊C8×C43—21no—
51C43×#335C2211yescharacteristic, complemented
52C43×#335C2211yescharacteristic, complemented
53C43×#334C2211yescharacteristic, complemented
54C43×#334C2211yescharacteristic, complemented
55C43×D4⋊C8C2211yescharacteristic
56C43×D4⋊C8C2211yescharacteristic
57C43×D4⋊C8C2211yescharacteristic
58C43×D4⋊C8C2211yescharacteristic
59C43×D4⋊C8C2211yescharacteristic, complemented
60C43×D4⋊C8C2211yescharacteristic, complemented
61C43×D4⋊C8C2211yescharacteristic, complemented
62C43×D4⋊C8C2211yescharacteristic, complemented
63C43×#322C2211yescharacteristic, complemented
64C43×#322C2211yescharacteristic, complemented
65C43×#322C2211yescharacteristic, complemented
66C82×C43C2211yescharacteristic, complemented
67C2×#41×C43—21no—
68C22×D4×C43C2×C411yescharacteristic
69C23×C4×C43—21no—
70C2×D8×C43C2×C411yescharacteristic
71C2×D8×C43C2×C411yescharacteristic
72C2×D8×C43C2×C411yescharacteristic
73C2×D8×C43C2×C411yescharacteristic
74C2×M16×C43—21no—
75C2×M16×C43—21no—
76C2×M16×C43—21no—
77C2×M16×C43—21no—
78C22×C8×C43—21no—
79C22×C8×C43—21no—
80C22×C8×C43—21no—
81C22×C8×C43—21no—
82C4⋊Q8×C43C2×C411yescharacteristic
83#127×C43C2×C411yescharacteristic
84#124×C43—21no—
85#121×C43—21no—
86#121×C43C2×C411yescharacteristic
87#121×C43C2×C411yescharacteristic
88C4×D4×C43—21no—
89C4×D4×C43—21no—
90C4×D4×C43—21no—
91C4×D4×C43C2×C411yescharacteristic
92C4×D4×C43C2×C411yescharacteristic
93C4×D4×C43C2311yescharacteristic
94C4×D4×C43C2311yescharacteristic
95C4×D4×C43C2311yescharacteristic
96C4×D4×C43C2311yescharacteristic
97C2×C4⋊C4×C43C2×C411yescharacteristic
98C2×C22⋊C4×C43—21no—
99C2×C42×C43C2311yescharacteristic
100#107×C43C2×C411yescharacteristic
101#107×C43C2×C411yescharacteristic
102#107×C43C2×C411yescharacteristic
103#107×C43C2×C411yescharacteristic
104C4⋊C8×C43—21no—
105C4⋊C8×C43C2×C411yescharacteristic
106C4⋊C8×C43C2×C411yescharacteristic
107C4⋊C8×C43D411yescharacteristic
108C4⋊C8×C43D411yescharacteristic
109C4⋊C8×C43C2311yescharacteristic
110C4⋊C8×C43C2311yescharacteristic
111C4⋊C8×C43C2311yescharacteristic
112C4⋊C8×C43C2311yescharacteristic
113#102×C43C2×C411yescharacteristic
114#102×C43C2×C411yescharacteristic
115#102×C43C2×C411yescharacteristic
116#102×C43C2×C411yescharacteristic
117#102×C43C2×C411yescharacteristic
118#102×C43C2×C411yescharacteristic
119#102×C43C2×C411yescharacteristic
120#102×C43C2×C411yescharacteristic
121C22⋊C8×C43—21no—
122C22⋊C8×C43—21no—
123C22⋊C8×C43—21no—
124C22⋊C8×C43—21no—
125C22⋊C8×C43—21no—
126C22⋊C8×C43—21no—
127C22⋊C8×C43—21no—
128C22⋊C8×C43—21no—
129C22⋊C8×C43—21no—
130C22⋊C8×C43—21no—
131C22⋊C8×C43—21no—
132C22⋊C8×C43C2×C411yescharacteristic
133C22⋊C8×C43C2×C411yescharacteristic
134C22⋊C8×C43D411yescharacteristic
135C22⋊C8×C43D411yescharacteristic
136#97×C43—21no—
137C4×C8×C43—21no—
138C4×C8×C43C2311yescharacteristic
139C4×C8×C43C2311yescharacteristic
140C4×C8×C43C2311yescharacteristic
141C4×C8×C43C2311yescharacteristic
142C4×C8×C43C2311yescharacteristic
143C4×C8×C43C2311yescharacteristic
144C24×C43—21no—
145#41×C43—81no—
146#41×C43—81no—
147C2×Q8×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43—21no—
150C2×D4×C43—21no—
151C2×D4×C43—21no—
152C2×D4×C43—21no—
153C2×D4×C43—22no—
154C2×D4×C43—41no—
155C2×D4×C43C22×C411yescharacteristic
156C2×D4×C43C22×C411yescharacteristic
157C2×D4×C43C22×C411yescharacteristic
158C2×D4×C43C22×C411yescharacteristic
159C22×C4×C43—21no—
160C22×C4×C43—21no—
161C22×C4×C43—21no—
162C22×C4×C43—21no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—81no—
167C22×C4×C43—81no—
168C22×C4×C43C22×C411yescharacteristic
169C22×C4×C43C2×D411yescharacteristic
170C22×C4×C43#4111yescharacteristic
171D8×C43—22no—
172D8×C43—22no—
173D8×C43—41no—
174D8×C43—41no—
175M16×C43—81no—
176M16×C43—81no—
177M16×C43—81no—
178M16×C43—81no—
179C2×C8×C43—21no—
180C2×C8×C43—21no—
181C2×C8×C43—21no—
182C2×C8×C43—21no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—81no—
186C2×C8×C43—81no—
187C2×C8×C43—81no—
188C2×C8×C43—81no—
189C2×C8×C43C22×C411yescharacteristic
190C2×C8×C43C22×C411yescharacteristic
191C2×C8×C43C22×C411yescharacteristic
192C2×C8×C43C22×C411yescharacteristic
193C2×C8×C43C2×D411yescharacteristic
194C2×C8×C43C2×D411yescharacteristic
195C2×C8×C43C2×D411yescharacteristic
196C2×C8×C43C2×D411yescharacteristic
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43C22×C411yescharacteristic
200C4⋊C4×C43C22×C411yescharacteristic
201C4⋊C4×C43C22×C411yescharacteristic
202C4⋊C4×C43C22×C411yescharacteristic
203C22⋊C4×C43—21no—
204C22⋊C4×C43—21no—
205C22⋊C4×C43—21no—
206C22⋊C4×C43—21no—
207C22⋊C4×C43—21no—
208C22⋊C4×C43—21no—
209C22⋊C4×C43—21no—
210C22⋊C4×C43—21no—
211C42×C43C22×C411yescharacteristic
212C42×C43C2×D411yescharacteristic
213C42×C43#4111yescharacteristic
214C42×C43C2411yescharacteristic
215C23×C43—21no—
216C23×C43—21no—
217C23×C43—21no—
218C23×C43—21no—
219C23×C43—42no—
220C23×C43—42no—
221C23×C43—81no—
222C23×C43C4×D411yescharacteristic
223Q8×C43—81no—
224D4×C43—21no—
225D4×C43—21no—
226D4×C43—21no—
227D4×C43—21no—
228D4×C43—21no—
229D4×C43—21no—
230D4×C43—21no—
231D4×C43—42no—
232D4×C43—42no—
233D4×C43—81no—
234D4×C43—81no—
235D4×C43—81no—
236D4×C43#13112yes—
237C2×C4×C43—21no—
238C2×C4×C43—21no—
239C2×C4×C43—21no—
240C2×C4×C43—21no—
241C2×C4×C43—21no—
242C2×C4×C43—21no—
243C2×C4×C43—21no—
244C2×C4×C43—21no—
245C2×C4×C43—41no—
246C2×C4×C43—41no—
247C2×C4×C43—41no—
248C2×C4×C43—41no—
249C2×C4×C43—41no—
250C2×C4×C43—41no—
251C2×C4×C43—41no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—81no—
255C2×C4×C43—81no—
256C2×C4×C43—81no—
257C2×C4×C43C4×D411yescharacteristic
258C2×C4×C43C4×D411yescharacteristic
259C2×C4×C43C4×D411yescharacteristic
260C2×C4×C43C23×C411yescharacteristic
261C2×C4×C43C22×D411yescharacteristic
262C2×C4×C43C2×#4111yescharacteristic
263C8×C43—21no—
264C8×C43—21no—
265C8×C43—21no—
266C8×C43—21no—
267C8×C43—21no—
268C8×C43—21no—
269C8×C43—21no—
270C8×C43—21no—
271C8×C43—41no—
272C8×C43—41no—
273C8×C43—41no—
274C8×C43—41no—
275C8×C43—41no—
276C8×C43—41no—
277#18026C4311yesmaximal, characteristic, direct product factor, Sylow
278C22×C43—22no—
279C22×C43—21no—
280C22×C43—21no—
281C22×C43—21no—
282C22×C43—41no—
283C22×C43—41no—
284C22×C43—41no—
285C22×C43—41no—
286C22×C43—41no—
287C22×C43—41no—
288C22×C43—41no—
289C22×C43—41no—
290C22×C43—41no—
291C22×C43—41no—
292C22×C43—41no—
293C22×C43—84no—
294C22×C43C2×C4×D411yescharacteristic
295C4×C43—21no—
296C4×C43—21no—
297C4×C43—21no—
298C4×C43—21no—
299C4×C43—41no—
300C4×C43—41no—
301C4×C43—41no—
302C4×C43—41no—
303C4×C43C2×#13111yescharacteristic
304C4×C43#56811yescharacteristic
305C4×C43#57611yescharacteristic
306C4×C43#57611yescharacteristic
307#3100C2×C4311yescharacteristic
308#2979C2×C4311yescharacteristic, complemented
309#2974C2×C4311yescharacteristic, complemented
310#1594C2×C4311yescharacteristic, complemented
311#1589C2×C4311yescharacteristic, complemented
312#1586C2×C4311yescharacteristic, complemented
313#1586C2×C4311yescharacteristic, complemented
314#1581C2×C4311yescharacteristic, complemented
315#1581C2×C4311yescharacteristic, complemented
316#1580C2×C4311yescharacteristic, complemented
317C8×D8C2×C4311yescharacteristic, complemented
318#1572C2×C4311yescharacteristic, complemented
319#1496C2×C4311yescharacteristic, complemented
320#1478C2×C4311yescharacteristic, complemented
321#1454C2×C4311yescharacteristic, complemented
322C2×C43—41no—
323C2×C43—42no—
324C2×C43—81no—
325C2×C43—81no—
326C2×C43—81no—
327C2×C43#293311yescharacteristic
328C2×C43#294811yescharacteristic
329C2×C43#295511yescharacteristic
330#532C22×C4311yescharacteristic
331C2×C4×D4C22×C4311yescharacteristic
332#480C4×C4311yescharacteristic
333#480C4×C4311yescharacteristic
334#474C4×C4311yescharacteristic
335#474C4×C4311yescharacteristic
336#459C4×C4311yescharacteristic
337#459C4×C4311yescharacteristic
338#447C4×C4311yescharacteristic
339#447C4×C4311yescharacteristic
340C4×D8C22×C4311yescharacteristic
341C4×D8C22×C4311yescharacteristic
342C4×D8C22×C4311yescharacteristic
343C4×D8C22×C4311yescharacteristic
344#436—21no—
345#436C22×C4311yescharacteristic
346#436C22×C4311yescharacteristic
347#436C22×C4311yescharacteristic, complemented
348#436C22×C4311yescharacteristic, complemented
349#435—21no—
350#435—21no—
351C8×D4—21no—
352C8×D4C22×C4311yescharacteristic
353C8×D4C22×C4311yescharacteristic
354C8×D4C22×C4311yescharacteristic, complemented
355C8×D4C22×C4311yescharacteristic, complemented
356#432C22×C4311yescharacteristic
357#431C22×C4311yescharacteristic
358#431C22×C4311yescharacteristic
359#431C22×C4311yescharacteristic
360#431C22×C4311yescharacteristic
361#408—21no—
362#408—21no—
363#407—21no—
364C2×C22⋊C8—21no—
365#335C22×C4311yescharacteristic, complemented
366#335C22×C4311yescharacteristic, complemented
367#334C22×C4311yescharacteristic, complemented
368#334C22×C4311yescharacteristic, complemented
369D4⋊C8C22×C4311yescharacteristic
370D4⋊C8C22×C4311yescharacteristic
371D4⋊C8C22×C4311yescharacteristic
372D4⋊C8C22×C4311yescharacteristic
373D4⋊C8C22×C4311yescharacteristic, complemented
374D4⋊C8C22×C4311yescharacteristic, complemented
375D4⋊C8C22×C4311yescharacteristic, complemented
376D4⋊C8C22×C4311yescharacteristic, complemented
377#322C22×C4311yescharacteristic, complemented
378#322C22×C4311yescharacteristic, complemented
379#322C22×C4311yescharacteristic, complemented
380C82C22×C4311yescharacteristic, complemented
381C43#1802611yescharacteristic, direct product factor, Sylow
382C2×#41—21no—
383C22×D4C2×C4×C4311yescharacteristic
384C23×C4—21no—
385C2×D8C2×C4×C4311yescharacteristic
386C2×D8C2×C4×C4311yescharacteristic
387C2×D8C2×C4×C4311yescharacteristic
388C2×D8C2×C4×C4311yescharacteristic
389C2×M16—21no—
390C2×M16—21no—
391C2×M16—21no—
392C2×M16—21no—
393C22×C8—21no—
394C22×C8—21no—
395C22×C8—21no—
396C22×C8—21no—
397C4⋊Q8C2×C4×C4311yescharacteristic
398#127C2×C4×C4311yescharacteristic
399#124—21no—
400#121—21no—
401#121C2×C4×C4311yescharacteristic
402#121C2×C4×C4311yescharacteristic
403C4×D4—21no—
404C4×D4—21no—
405C4×D4—21no—
406C4×D4C2×C4×C4311yescharacteristic
407C4×D4C2×C4×C4311yescharacteristic
408C4×D4C23×C4311yescharacteristic
409C4×D4C23×C4311yescharacteristic
410C4×D4C23×C4311yescharacteristic
411C4×D4C23×C4311yescharacteristic
412C2×C4⋊C4C2×C4×C4311yescharacteristic
413C2×C22⋊C4—21no—
414C2×C42C23×C4311yescharacteristic
415#107C2×C4×C4311yescharacteristic
416#107C2×C4×C4311yescharacteristic
417#107C2×C4×C4311yescharacteristic
418#107C2×C4×C4311yescharacteristic
419C4⋊C8—21no—
420C4⋊C8C2×C4×C4311yescharacteristic
421C4⋊C8C2×C4×C4311yescharacteristic
422C4⋊C8D4×C4311yescharacteristic
423C4⋊C8D4×C4311yescharacteristic
424C4⋊C8C23×C4311yescharacteristic
425C4⋊C8C23×C4311yescharacteristic
426C4⋊C8C23×C4311yescharacteristic
427C4⋊C8C23×C4311yescharacteristic
428#102C2×C4×C4311yescharacteristic
429#102C2×C4×C4311yescharacteristic
430#102C2×C4×C4311yescharacteristic
431#102C2×C4×C4311yescharacteristic
432#102C2×C4×C4311yescharacteristic
433#102C2×C4×C4311yescharacteristic
434#102C2×C4×C4311yescharacteristic
435#102C2×C4×C4311yescharacteristic
436C22⋊C8—21no—
437C22⋊C8—21no—
438C22⋊C8—21no—
439C22⋊C8—21no—
440C22⋊C8—21no—
441C22⋊C8—21no—
442C22⋊C8—21no—
443C22⋊C8—21no—
444C22⋊C8—21no—
445C22⋊C8—21no—
446C22⋊C8—21no—
447C22⋊C8C2×C4×C4311yescharacteristic
448C22⋊C8C2×C4×C4311yescharacteristic
449C22⋊C8D4×C4311yescharacteristic
450C22⋊C8D4×C4311yescharacteristic
451#97—21no—
452C4×C8—21no—
453C4×C8C23×C4311yescharacteristic
454C4×C8C23×C4311yescharacteristic
455C4×C8C23×C4311yescharacteristic
456C4×C8C23×C4311yescharacteristic
457C4×C8C23×C4311yescharacteristic
458C4×C8C23×C4311yescharacteristic
459C24—21no—
460#41—81no—
461#41—81no—
462C2×Q8—21no—
463C2×D4—22no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—41no—
470C2×D4C22×C4×C4311yescharacteristic
471C2×D4C22×C4×C4311yescharacteristic
472C2×D4C22×C4×C4311yescharacteristic
473C2×D4C22×C4×C4311yescharacteristic
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—81no—
482C22×C4—81no—
483C22×C4C22×C4×C4311yescharacteristic
484C22×C4C2×D4×C4311yescharacteristic
485C22×C4#41×C4311yescharacteristic
486D8—22no—
487D8—22no—
488D8—41no—
489D8—41no—
490M16—81no—
491M16—81no—
492M16—81no—
493M16—81no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—81no—
501C2×C8—81no—
502C2×C8—81no—
503C2×C8—81no—
504C2×C8C22×C4×C4311yescharacteristic
505C2×C8C22×C4×C4311yescharacteristic
506C2×C8C22×C4×C4311yescharacteristic
507C2×C8C22×C4×C4311yescharacteristic
508C2×C8C2×D4×C4311yescharacteristic
509C2×C8C2×D4×C4311yescharacteristic
510C2×C8C2×D4×C4311yescharacteristic
511C2×C8C2×D4×C4311yescharacteristic
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4C22×C4×C4311yescharacteristic
515C4⋊C4C22×C4×C4311yescharacteristic
516C4⋊C4C22×C4×C4311yescharacteristic
517C4⋊C4C22×C4×C4311yescharacteristic
518C22⋊C4—21no—
519C22⋊C4—21no—
520C22⋊C4—21no—
521C22⋊C4—21no—
522C22⋊C4—21no—
523C22⋊C4—21no—
524C22⋊C4—21no—
525C22⋊C4—21no—
526C42C22×C4×C4311yescharacteristic
527C42C2×D4×C4311yescharacteristic
528C42#41×C4311yescharacteristic
529C42C24×C4311yescharacteristic
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—42no—
535C23—42no—
536C23—81no—
537C23C4×D4×C4311yescharacteristic
538Q8—81no—
539D4—21no—
540D4—21no—
541D4—21no—
542D4—21no—
543D4—21no—
544D4—21no—
545D4—21no—
546D4—42no—
547D4—42no—
548D4—81no—
549D4—81no—
550D4—81no—
551D4#131×C4312yes—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—81no—
570C2×C4—81no—
571C2×C4—81no—
572C2×C4C4×D4×C4311yescharacteristic
573C2×C4C4×D4×C4311yescharacteristic
574C2×C4C4×D4×C4311yescharacteristic
575C2×C4C23×C4×C4311yescharacteristic
576C2×C4C22×D4×C4311yescharacteristic
577C2×C4C2×#41×C4311yescharacteristic
578C8—21no—
579C8—21no—
580C8—21no—
581C8—21no—
582C8—21no—
583C8—21no—
584C8—21no—
585C8—21no—
586C8—41no—
587C8—41no—
588C8—41no—
589C8—41no—
590C8—41no—
591C8—41no—
592C22—21no—
593C22—22no—
594C22—21no—
595C22—21no—
596C22—41no—
597C22—41no—
598C22—41no—
599C22—41no—
600C22—41no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—41no—
605C22—41no—
606C22—41no—
607C22—84no—
608C22C2×C4×D4×C4311yescharacteristic
609C4—21no—
610C4—21no—
611C4—21no—
612C4—21no—
613C4—41no—
614C4—41no—
615C4—41no—
616C4—41no—
617C4C2×#131×C4311yescharacteristic
618C4C43×#56811yescharacteristic
619C4C43×#57611yescharacteristic
620C4C43×#57611yescharacteristic
621C2—41no—
622C2—42no—
623C2—81no—
624C2—81no—
625C2—81no—
626C2C43×#293311yescharacteristic
627C2C43×#294811yescharacteristic
628C2C43×#295511yescharacteristic
subgroupG/H
centerC2×C4×C43C22×D4
commutatorC2×C4C23×C4×C43
Frattini, cosocleC42C24×C43
socleC22×C43C2×C4×D4
prime radicalC43×#3100C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C43 ◁ C43×#431 ◁ G

Complements

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

NH ≅ G/Ntype
2. C43×#2979C2semidirect
3. C43×#2974C2semidirect
4. C43×#1594C2semidirect
5. C43×#1589C2semidirect
6. C43×#1586C2semidirect
7. C43×#1586C2semidirect
8. C43×#1581C2semidirect
9. C43×#1581C2semidirect
10. C43×#1580C2semidirect
11. C8×D8×C43C2semidirect
12. C43×#1572C2semidirect
13. C43×#1496C2semidirect
14. C43×#1478C2semidirect
15. C43×#1454C2semidirect
33. C43×#436C22semidirect
34. C43×#436C22semidirect
40. C8×D4×C43C22semidirect
41. C8×D4×C43C22semidirect
51. C43×#335C22semidirect
52. C43×#335C22semidirect
53. C43×#334C22semidirect
54. C43×#334C22semidirect
59. C43×D4⋊C8C22semidirect
60. C43×D4⋊C8C22semidirect
61. C43×D4⋊C8C22semidirect
62. C43×D4⋊C8C22semidirect
63. C43×#322C22semidirect
64. C43×#322C22semidirect
65. C43×#322C22semidirect
66. C82×C43C22semidirect
277. #18026C43direct (N × H)
308. #2979C2×C43semidirect
309. #2974C2×C43semidirect
310. #1594C2×C43semidirect
311. #1589C2×C43semidirect
312. #1586C2×C43semidirect
313. #1586C2×C43semidirect
314. #1581C2×C43semidirect
315. #1581C2×C43semidirect
316. #1580C2×C43semidirect
317. C8×D8C2×C43semidirect
318. #1572C2×C43semidirect
319. #1496C2×C43semidirect
320. #1478C2×C43semidirect
321. #1454C2×C43semidirect
347. #436C22×C43semidirect
348. #436C22×C43semidirect
354. C8×D4C22×C43semidirect
355. C8×D4C22×C43semidirect
365. #335C22×C43semidirect
366. #335C22×C43semidirect
367. #334C22×C43semidirect
368. #334C22×C43semidirect
373. D4⋊C8C22×C43semidirect
374. D4⋊C8C22×C43semidirect
375. D4⋊C8C22×C43semidirect
376. D4⋊C8C22×C43semidirect
377. #322C22×C43semidirect
378. #322C22×C43semidirect
379. #322C22×C43semidirect
380. C82C22×C43semidirect
381. C43#18026direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#31002
C43×#29792
C43×#29742
C43×#15942
C43×#15892
C43×#15862
C43×#15812
C43×#15802
C8×D8×C432
C43×#15722
C43×#14962
C43×#14782
C43×#14542
#1802643