Finite Group Databasebeta

← C43×#25285 #24945302

Subgroups — C43×#25285 #24945302

Order 11008.

858 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#489C211yesmaximal, characteristic, complemented
2C2×C43×#474C211yesmaximal, characteristic, complemented
3C43×#2544C211yesmaximal, characteristic
4C43×#2369C211yesmaximal, characteristic, complemented
5C43×#2068C211yesmaximal, characteristic, complemented
6C43×#2067C211yesmaximal, characteristic, complemented
7C43×#2042C211yesmaximal, characteristic, complemented
8C43×#2041C211yesmaximal, characteristic
9C43×#1983C211yesmaximal, characteristic, complemented
10C43×#1983C211yesmaximal, characteristic, complemented
11C43×#1982C211yesmaximal, characteristic
12C43×#1940C211yesmaximal, characteristic, complemented
13C43×#1928C211yesmaximal, characteristic, complemented
14C43×#1925C211yesmaximal, characteristic, complemented
15C43×#1762C211yesmaximal, characteristic, complemented
16C2×C4⋊Q8×C43C2211yescharacteristic
17C2×#127×C43C2211yescharacteristic
18C2×#124×C43C2211yescharacteristic
19C2×#124×C43C2211yescharacteristic
20C2×C4×D4×C43C2211yescharacteristic
21C43×#489—24no—
22C43×#474—24no—
23C2×#107×C43C2211yescharacteristic
24C2×#107×C43C2211yescharacteristic
25C2×C4⋊C8×C43C2211yescharacteristic
26C2×C4⋊C8×C43C2211yescharacteristic
27C2×C4⋊C8×C43C2211yescharacteristic
28C2×#103×C43C2211yescharacteristic
29C2×#103×C43C2211yescharacteristic
30C2×#103×C43C2211yescharacteristic
31C2×#103×C43C2211yescharacteristic
32C2×#102×C43C2211yescharacteristic
33C2×#102×C43C2211yescharacteristic
34C2×#102×C43C2211yescharacteristic
35C2×#102×C43C2211yescharacteristic
36C2×#102×C43C2211yescharacteristic
37C2×#102×C43C2211yescharacteristic
38C2×#102×C43C2211yescharacteristic
39C2×#102×C43C2211yescharacteristic
40C2×#97×C43C2211yescharacteristic
41C43×#394—21no—
42C43×#394—21no—
43C43×#391—21no—
44C43×#391—21no—
45C43×#391C2211yescharacteristic
46C43×#390C2211yescharacteristic
47C43×#389—21no—
48C43×#389C2211yescharacteristic
49C43×#389C2211yescharacteristic
50C43×#386—21no—
51C43×#386—21no—
52C4×C4⋊C4×C43—21no—
53C4×C4⋊C4×C43C2211yescharacteristic
54C4×C4⋊C4×C43C2211yescharacteristic
55C4×C4⋊C4×C43C2211yescharacteristic
56C4×C4⋊C4×C43C2211yescharacteristic
57C43×#340C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C43×#336C2211yescharacteristic
60C43×#336C2211yescharacteristic
61C22×Q8×C43—21no—
62C22×Q8×C43C2311yescharacteristic
63C22×D4×C43—21no—
64C22×D4×C43—21no—
65C22×D4×C43C2311yescharacteristic
66C22×D4×C43C2311yescharacteristic
67C23×C4×C43—21no—
68C22×C8×C43C2311yescharacteristic
69C22×C8×C43C2311yescharacteristic
70C22×C8×C43C2311yescharacteristic
71C22×C8×C43C2311yescharacteristic
72C4⋊Q8×C43—22no—
73C4⋊Q8×C43D414yescomplemented
74#127×C43—22no—
75#127×C43—41no—
76#124×C43—22no—
77#124×C43—22no—
78#124×C43—22no—
79#124×C43—41no—
80C4×D4×C43—22no—
81C4×D4×C43—22no—
82C2×C4⋊C4×C43—21no—
83C2×C4⋊C4×C43—21no—
84C2×C4⋊C4×C43—21no—
85C2×C4⋊C4×C43D411yescharacteristic
86C2×C4⋊C4×C43D411yescharacteristic
87C2×C4⋊C4×C43C2311yescharacteristic
88C2×C4⋊C4×C43C2311yescharacteristic
89C2×C4⋊C4×C43C2311yescharacteristic
90C2×C4⋊C4×C43C2311yescharacteristic
91C2×C4⋊C4×C43C2311yescharacteristic
92C2×C22⋊C4×C43—21no—
93C2×C22⋊C4×C43—21no—
94C2×C22⋊C4×C43—21no—
95C2×C22⋊C4×C43—21no—
96C2×C22⋊C4×C43—21no—
97C2×C22⋊C4×C43—21no—
98C2×C22⋊C4×C43—21no—
99C2×C42×C43—21no—
100C2×C42×C43—21no—
101C2×C42×C43—21no—
102C2×C42×C43C2311yescharacteristic
103C2×C42×C43C2311yescharacteristic
104C2×C42×C43C2311yescharacteristic
105#107×C43—22no—
106#107×C43—22no—
107C4⋊C8×C43—22no—
108C4⋊C8×C43—41no—
109C4⋊C8×C43—41no—
110#103×C43—22no—
111#103×C43—22no—
112#103×C43—22no—
113#103×C43—41no—
114#102×C43—22no—
115#102×C43—22no—
116#102×C43—22no—
117#102×C43—22no—
118#102×C43—22no—
119#102×C43—22no—
120#102×C43—22no—
121#102×C43—41no—
122#97×C43—22no—
123#95×C43—21no—
124#95×C43—21no—
125#95×C43—21no—
126#95×C43—21no—
127#95×C43—21no—
128#95×C43—21no—
129#95×C43—21no—
130#95×C43D411yescharacteristic
131#95×C43D411yescharacteristic
132C24×C43—21no—
133C24×C43—21no—
134C2×Q8×C43—24no—
135C2×Q8×C43—21no—
136C2×Q8×C43—21no—
137C2×Q8×C43—21no—
138C2×Q8×C43—21no—
139C2×Q8×C43—21no—
140C2×Q8×C43—21no—
141C2×Q8×C43—81no—
142C2×Q8×C43—81no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×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—21no—
154C2×D4×C43—42no—
155C2×D4×C43—42no—
156C2×D4×C43—42no—
157C2×D4×C43—42no—
158C2×D4×C43—81no—
159C2×D4×C43—81no—
160C2×D4×C43#4112yes—
161C22×C4×C43—21no—
162C22×C4×C43—21no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—21no—
167C22×C4×C43—42no—
168C22×C4×C43—81no—
169C22×C4×C43—81no—
170C22×C4×C43C2×D411yescharacteristic
171C22×C4×C43C2×D411yescharacteristic
172C22×C4×C43C2×D411yescharacteristic
173C22×C4×C43C2×D411yescharacteristic
174C22×C4×C43C2×D411yescharacteristic
175C22×C4×C43C2×D411yescharacteristic
176C22×C4×C43C2411yescharacteristic
177C2×C8×C43—21no—
178C2×C8×C43—21no—
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—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C4⋊C4×C43—24no—
190C4⋊C4×C43—22no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—41no—
199C4⋊C4×C43—81no—
200C4⋊C4×C43—81no—
201C4⋊C4×C43C2×D412yes—
202C4⋊C4×C43C2×D412yes—
203C4⋊C4×C43#4112yes—
204C22⋊C4×C43—42no—
205C22⋊C4×C43—42no—
206C22⋊C4×C43—42no—
207C22⋊C4×C43—42no—
208C22⋊C4×C43—42no—
209C22⋊C4×C43—81no—
210C22⋊C4×C43—81no—
211C42×C43—21no—
212C42×C43—21no—
213C42×C43—21no—
214C42×C43—21no—
215C42×C43—42no—
216C42×C43—81no—
217C42×C43—81no—
218C42×C43C2×D412yes—
219C42×C43#4112yes—
220C23×C43—22no—
221C23×C43—41no—
222C23×C43—41no—
223C23×C43—41no—
224C23×C43—41no—
225C23×C43—41no—
226C23×C43—41no—
227C23×C43—41no—
228C23×C43—41no—
229C23×C43—41no—
230C23×C43—41no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43C22×D411yescharacteristic
235Q8×C43—41no—
236Q8×C43—41no—
237Q8×C43—41no—
238Q8×C43—41no—
239Q8×C43—84no—
240D4×C43—22no—
241D4×C43—22no—
242D4×C43—41no—
243D4×C43—41no—
244D4×C43—41no—
245D4×C43—41no—
246D4×C43—41no—
247D4×C43—41no—
248D4×C43—84no—
249D4×C43—84no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—22no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—41no—
281C2×C4×C43—41no—
282C2×C4×C43—41no—
283C2×C4×C43—84no—
284C2×C4×C43#12112yes—
285C2×C4×C43#12112yes—
286C2×C4×C43#13712yes—
287C2×C4×C43C22×D411yescharacteristic
288C2×C4×C43C2×#4111yescharacteristic
289C2×C4×C43C2×#4111yescharacteristic
290C2×C4×C43C2×#4111yescharacteristic
291C2×C4×C43H(5,𝔽2)11yescharacteristic
292C2×C4×C432−1+411yescharacteristic
293C8×C43—41no—
294C8×C43—41no—
295C8×C43—41no—
296C8×C43—41no—
297#25285C4311yesmaximal, characteristic, direct product factor, Sylow
298C22×C43—42no—
299C22×C43—42no—
300C22×C43—42no—
301C22×C43—81no—
302C22×C43—81no—
303C22×C43—81no—
304C22×C43—81no—
305C22×C43—81no—
306C22×C43—81no—
307C22×C43—81no—
308C22×C43—81no—
309C22×C43—81no—
310C22×C43—81no—
311C22×C43—81no—
312C22×C43C2×#12111yescharacteristic
313C22×C43#54611yescharacteristic
314C22×C43#54811yescharacteristic
315C22×C43C2×#13711yescharacteristic
316C22×C43#57511yescharacteristic
317C22×C43#57611yescharacteristic
318C22×C43#57611yescharacteristic
319C4×C43—22no—
320C4×C43—22no—
321C4×C43—22no—
322C4×C43—42no—
323C4×C43—42no—
324C4×C43—42no—
325C4×C43—41no—
326C4×C43—41no—
327C4×C43—41no—
328C4×C43—81no—
329C4×C43—81no—
330C4×C43—81no—
331C4×C43#52911yescharacteristic
332C4×C43#54211yescharacteristic
333C4×C43#54811yescharacteristic
334C4×C43#55011yescharacteristic
335C2×#489C2×C4311yescharacteristic, complemented
336C2×#474C2×C4311yescharacteristic, complemented
337#2544C2×C4311yescharacteristic
338#2369C2×C4311yescharacteristic, complemented
339#2068C2×C4311yescharacteristic, complemented
340#2067C2×C4311yescharacteristic, complemented
341#2042C2×C4311yescharacteristic, complemented
342#2041C2×C4311yescharacteristic
343#1983C2×C4311yescharacteristic, complemented
344#1983C2×C4311yescharacteristic, complemented
345#1982C2×C4311yescharacteristic
346#1940C2×C4311yescharacteristic, complemented
347#1928C2×C4311yescharacteristic, complemented
348#1925C2×C4311yescharacteristic, complemented
349#1762C2×C4311yescharacteristic, complemented
350C2×C43—82no—
351C2×C43—161no—
352C2×C43#242611yescharacteristic
353C2×C43#303711yescharacteristic
354C2×C43#304111yescharacteristic
355C2×C43#331411yescharacteristic
356C2×C43#331911yescharacteristic
357C2×C43#337011yescharacteristic
358C2×C43#337511yescharacteristic
359C2×C4⋊Q8C22×C4311yescharacteristic
360C2×#127C22×C4311yescharacteristic
361C2×#124C22×C4311yescharacteristic
362C2×#124C22×C4311yescharacteristic
363C2×C4×D4C22×C4311yescharacteristic
364#489—24no—
365#474—24no—
366C2×#107C22×C4311yescharacteristic
367C2×#107C22×C4311yescharacteristic
368C2×C4⋊C8C22×C4311yescharacteristic
369C2×C4⋊C8C22×C4311yescharacteristic
370C2×C4⋊C8C22×C4311yescharacteristic
371C2×#103C22×C4311yescharacteristic
372C2×#103C22×C4311yescharacteristic
373C2×#103C22×C4311yescharacteristic
374C2×#103C22×C4311yescharacteristic
375C2×#102C22×C4311yescharacteristic
376C2×#102C22×C4311yescharacteristic
377C2×#102C22×C4311yescharacteristic
378C2×#102C22×C4311yescharacteristic
379C2×#102C22×C4311yescharacteristic
380C2×#102C22×C4311yescharacteristic
381C2×#102C22×C4311yescharacteristic
382C2×#102C22×C4311yescharacteristic
383C2×#97C22×C4311yescharacteristic
384#394—21no—
385#394—21no—
386#391—21no—
387#391—21no—
388#391C22×C4311yescharacteristic
389#390C22×C4311yescharacteristic
390#389—21no—
391#389C22×C4311yescharacteristic
392#389C22×C4311yescharacteristic
393#386—21no—
394#386—21no—
395C4×C4⋊C4—21no—
396C4×C4⋊C4C22×C4311yescharacteristic
397C4×C4⋊C4C22×C4311yescharacteristic
398C4×C4⋊C4C22×C4311yescharacteristic
399C4×C4⋊C4C22×C4311yescharacteristic
400#340C22×C4311yescharacteristic
401#340C22×C4311yescharacteristic
402#336C22×C4311yescharacteristic
403#336C22×C4311yescharacteristic
404C43#2528511yescharacteristic, direct product factor, Sylow
405C22×Q8—21no—
406C22×Q8C23×C4311yescharacteristic
407C22×D4—21no—
408C22×D4—21no—
409C22×D4C23×C4311yescharacteristic
410C22×D4C23×C4311yescharacteristic
411C23×C4—21no—
412C22×C8C23×C4311yescharacteristic
413C22×C8C23×C4311yescharacteristic
414C22×C8C23×C4311yescharacteristic
415C22×C8C23×C4311yescharacteristic
416C4⋊Q8—22no—
417C4⋊Q8D4×C4314yescomplemented
418#127—22no—
419#127—41no—
420#124—22no—
421#124—22no—
422#124—22no—
423#124—41no—
424C4×D4—22no—
425C4×D4—22no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4D4×C4311yescharacteristic
430C2×C4⋊C4D4×C4311yescharacteristic
431C2×C4⋊C4C23×C4311yescharacteristic
432C2×C4⋊C4C23×C4311yescharacteristic
433C2×C4⋊C4C23×C4311yescharacteristic
434C2×C4⋊C4C23×C4311yescharacteristic
435C2×C4⋊C4C23×C4311yescharacteristic
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C42—21no—
444C2×C42—21no—
445C2×C42—21no—
446C2×C42C23×C4311yescharacteristic
447C2×C42C23×C4311yescharacteristic
448C2×C42C23×C4311yescharacteristic
449#107—22no—
450#107—22no—
451C4⋊C8—22no—
452C4⋊C8—41no—
453C4⋊C8—41no—
454#103—22no—
455#103—22no—
456#103—22no—
457#103—41no—
458#102—22no—
459#102—22no—
460#102—22no—
461#102—22no—
462#102—22no—
463#102—22no—
464#102—22no—
465#102—41no—
466#97—22no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95D4×C4311yescharacteristic
475#95D4×C4311yescharacteristic
476C24—21no—
477C24—21no—
478C2×Q8—24no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—81no—
486C2×Q8—81no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—42no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—81no—
503C2×D4—81no—
504C2×D4#41×C4312yes—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—42no—
512C22×C4—81no—
513C22×C4—81no—
514C22×C4C2×D4×C4311yescharacteristic
515C22×C4C2×D4×C4311yescharacteristic
516C22×C4C2×D4×C4311yescharacteristic
517C22×C4C2×D4×C4311yescharacteristic
518C22×C4C2×D4×C4311yescharacteristic
519C22×C4C2×D4×C4311yescharacteristic
520C22×C4C24×C4311yescharacteristic
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C4⋊C4—24no—
534C4⋊C4—22no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—41no—
543C4⋊C4—81no—
544C4⋊C4—81no—
545C4⋊C4C2×D4×C4312yes—
546C4⋊C4C2×D4×C4312yes—
547C4⋊C4#41×C4312yes—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—42no—
552C22⋊C4—42no—
553C22⋊C4—81no—
554C22⋊C4—81no—
555C42—21no—
556C42—21no—
557C42—21no—
558C42—21no—
559C42—42no—
560C42—81no—
561C42—81no—
562C42C2×D4×C4312yes—
563C42#41×C4312yes—
564C23—22no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23C22×D4×C4311yescharacteristic
579Q8—41no—
580Q8—41no—
581Q8—41no—
582Q8—41no—
583Q8—84no—
584D4—22no—
585D4—22no—
586D4—41no—
587D4—41no—
588D4—41no—
589D4—41no—
590D4—41no—
591D4—41no—
592D4—84no—
593D4—84no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—22no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—84no—
628C2×C4#121×C4312yes—
629C2×C4#121×C4312yes—
630C2×C4#137×C4312yes—
631C2×C4C22×D4×C4311yescharacteristic
632C2×C4C2×#41×C4311yescharacteristic
633C2×C4C2×#41×C4311yescharacteristic
634C2×C4C2×#41×C4311yescharacteristic
635C2×C4H(5,𝔽2)×C4311yescharacteristic
636C2×C42−1+4×C4311yescharacteristic
637C8—41no—
638C8—41no—
639C8—41no—
640C8—41no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22—81no—
650C22—81no—
651C22—81no—
652C22—81no—
653C22—81no—
654C22—81no—
655C22C2×#121×C4311yescharacteristic
656C22C43×#54611yescharacteristic
657C22C43×#54811yescharacteristic
658C22C2×#137×C4311yescharacteristic
659C22C43×#57511yescharacteristic
660C22C43×#57611yescharacteristic
661C22C43×#57611yescharacteristic
662C4—22no—
663C4—22no—
664C4—22no—
665C4—42no—
666C4—42no—
667C4—42no—
668C4—41no—
669C4—41no—
670C4—41no—
671C4—81no—
672C4—81no—
673C4—81no—
674C4C43×#52911yescharacteristic
675C4C43×#54211yescharacteristic
676C4C43×#54811yescharacteristic
677C4C43×#55011yescharacteristic
678C2—82no—
679C2—161no—
680C2C43×#242611yescharacteristic
681C2C43×#303711yescharacteristic
682C2C43×#304111yescharacteristic
683C2C43×#331411yescharacteristic
684C2C43×#331911yescharacteristic
685C2C43×#337011yescharacteristic
686C2C43×#337511yescharacteristic
subgroupG/H
center, socleC23×C43C22×D4
commutator, Frattini, cosocleC22×C4C24×C43
prime radicalC2×#127×C43C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C43 ◁ C4×C4⋊C4×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C43×#489C2semidirect
2. C2×C43×#474C2semidirect
4. C43×#2369C2semidirect
5. C43×#2068C2semidirect
6. C43×#2067C2semidirect
7. C43×#2042C2semidirect
9. C43×#1983C2semidirect
10. C43×#1983C2semidirect
12. C43×#1940C2semidirect
13. C43×#1928C2semidirect
14. C43×#1925C2semidirect
15. C43×#1762C2semidirect
73. C4⋊Q8×C43D4semidirect
297. #25285C43direct (N × H)
335. C2×#489C2×C43semidirect
336. C2×#474C2×C43semidirect
338. #2369C2×C43semidirect
339. #2068C2×C43semidirect
340. #2067C2×C43semidirect
341. #2042C2×C43semidirect
343. #1983C2×C43semidirect
344. #1983C2×C43semidirect
346. #1940C2×C43semidirect
347. #1928C2×C43semidirect
348. #1925C2×C43semidirect
349. #1762C2×C43semidirect
404. C43#25285direct (N × H)
417. C4⋊Q8D4×C43semidirect

Maximal subgroups

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

subgroupindex
C2×C43×#4892
C2×C43×#4742
C43×#25442
C43×#23692
C43×#20682
C43×#20672
C43×#20422
C43×#20412
C43×#19832
C43×#19822
C43×#19402
C43×#19282
C43×#19252
C43×#17622
#2528543