Finite Group Databasebeta

← C43×#21124 #24941141

Subgroups — C43×#21124 #24941141

Order 11008.

922 conjugacy classes of subgroups.

The subgroup lattice has 628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#440C211yesmaximal, characteristic
2C43×#2293C211yesmaximal, characteristic
3C42×Q8×C43C211yesmaximal, characteristic, complemented
4C43×#1926C211yesmaximal, characteristic
5C43×#1925C211yesmaximal, characteristic
6C43×#1921C211yesmaximal, characteristic, complemented
7C43×#1918C211yesmaximal, characteristic, complemented
8C43×#1880C211yesmaximal, characteristic
9C43×#1880C211yesmaximal, characteristic
10C43×#1865C211yesmaximal, characteristic, complemented
11C43×#1863C211yesmaximal, characteristic, complemented
12C43×#1776C211yesmaximal, characteristic, complemented
13C43×#1763C211yesmaximal, characteristic, complemented
14C43×#1762C211yesmaximal, characteristic
15C43×#1745C211yesmaximal, characteristic, complemented
16C22×SD16×C43C2211yescharacteristic
17C2×C4×Q8×C43C2211yescharacteristic
18C2×C4×Q8×C43C2211yescharacteristic
19C2×C4×Q8×C43C2211yescharacteristic
20C2×C4×D4×C43C2211yescharacteristic
21C2×#117×C43—21no—
22C43×#440C418yescomplemented
23C2×#107×C43C2211yescharacteristic
24C2×#107×C43C2211yescharacteristic
25C2×#106×C43C2211yescharacteristic
26C2×#103×C43C2211yescharacteristic
27C2×#103×C43C2211yescharacteristic
28C2×#103×C43C2211yescharacteristic
29C2×#102×C43C2211yescharacteristic
30C2×#102×C43C2211yescharacteristic
31C2×#102×C43C2211yescharacteristic
32C2×#97×C43C2211yescharacteristic
33C2×#97×C43C2211yescharacteristic
34C43×#390C2211yescharacteristic
35C43×#390C2211yescharacteristic
36C43×#389C2211yescharacteristic
37C43×#389C2211yescharacteristic
38C43×#388—21no—
39C43×#388—21no—
40C4×C4⋊C4×C43—21no—
41C4×C4⋊C4×C43—21no—
42C4×C4⋊C4×C43—21no—
43C4×C4⋊C4×C43C2211yescharacteristic
44C4×C4⋊C4×C43C2211yescharacteristic
45C4×C4⋊C4×C43C2211yescharacteristic
46C4×C4⋊C4×C43C2211yescharacteristic
47C4×C22⋊C4×C43—21no—
48C43×C43—21no—
49C43×C43C2211yescharacteristic
50C43×#340C2211yescharacteristic
51C43×#340C2211yescharacteristic
52C43×#340C2211yescharacteristic
53C43×#340C2211yescharacteristic
54C43×#340C2211yescharacteristic
55C43×#340C2211yescharacteristic
56C43×#336C2211yescharacteristic
57C43×#336C2211yescharacteristic
58C43×#336C2211yescharacteristic
59C43×#336C2211yescharacteristic
60C22×Q8×C43C2311yescharacteristic
61C22×D4×C43C2311yescharacteristic
62C23×C4×C43—21no—
63C2×SD16×C43—22no—
64C2×SD16×C43—22no—
65C2×SD16×C43C2×C414yes—
66C22×C8×C43C2311yescharacteristic
67C22×C8×C43C2311yescharacteristic
68C22×C8×C43C2311yescharacteristic
69C22×C8×C43C2311yescharacteristic
70C4×Q8×C43—22no—
71C4×Q8×C43—22no—
72C4×Q8×C43—22no—
73C4×Q8×C43—22no—
74C4×Q8×C43—22no—
75C4×Q8×C43C2×C414yes—
76C4×D4×C43—22no—
77C4×D4×C43C2×C414yes—
78#117×C43—44no—
79C2×C4⋊C4×C43—21no—
80C2×C4⋊C4×C43—21no—
81C2×C4⋊C4×C43—21no—
82C2×C4⋊C4×C43—21no—
83C2×C4⋊C4×C43—21no—
84C2×C4⋊C4×C43C2311yescharacteristic
85C2×C4⋊C4×C43C2311yescharacteristic
86C2×C4⋊C4×C43C2311yescharacteristic
87C2×C4⋊C4×C43C2311yescharacteristic
88C2×C4⋊C4×C43C2311yescharacteristic
89C2×C4⋊C4×C43C2311yescharacteristic
90C2×C22⋊C4×C43—21no—
91C2×C22⋊C4×C43—21no—
92C2×C22⋊C4×C43—21no—
93C2×C22⋊C4×C43—21no—
94C2×C22⋊C4×C43—21no—
95C2×C42×C43—21no—
96C2×C42×C43—21no—
97C2×C42×C43—21no—
98C2×C42×C43—21no—
99C2×C42×C43—21no—
100C2×C42×C43—21no—
101C2×C42×C43—21no—
102C2×C42×C43D411yescharacteristic
103C2×C42×C43D411yescharacteristic
104C2×C42×C43D411yescharacteristic
105C2×C42×C43D411yescharacteristic
106C2×C42×C43C2311yescharacteristic
107C2×C42×C43C2311yescharacteristic
108C2×C42×C43C2311yescharacteristic
109#107×C43—22no—
110#107×C43C2×C414yes—
111#106×C43—22no—
112#103×C43—22no—
113#103×C43—22no—
114#103×C43C2×C414yes—
115#102×C43—22no—
116#102×C43—22no—
117#102×C43C2×C414yes—
118#97×C43—22no—
119#97×C43C2×C414yes—
120#95×C43—21no—
121#95×C43—21no—
122#95×C43—21no—
123#95×C43—21no—
124#95×C43—21no—
125#95×C43—21no—
126C24×C43—21no—
127C2×Q8×C43—21no—
128C2×Q8×C43—21no—
129C2×Q8×C43—21no—
130C2×Q8×C43C22×C412yes—
131C2×Q8×C43#4112yes—
132C2×Q8×C43#4112yes—
133C2×D4×C43—21no—
134C2×D4×C43—21no—
135C2×D4×C43—21no—
136C2×D4×C43—21no—
137C2×D4×C43—21no—
138C2×D4×C43C22×C412yes—
139C22×C4×C43—24no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—42no—
148C22×C4×C43—42no—
149C22×C4×C43C2×D411yescharacteristic
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2×D411yescharacteristic
155C22×C4×C43C2411yescharacteristic
156SD16×C43—28no—
157C2×C8×C43—21no—
158C2×C8×C43—21no—
159C2×C8×C43—21no—
160C2×C8×C43—21no—
161C2×C8×C43—21no—
162C2×C8×C43—21no—
163C2×C8×C43—21no—
164C2×C8×C43—21no—
165C2×C8×C43—21no—
166C2×C8×C43—21no—
167C2×C8×C43C22×C412yes—
168C2×C8×C43C22×C412yes—
169C4⋊C4×C43—24no—
170C4⋊C4×C43—24no—
171C4⋊C4×C43—24no—
172C4⋊C4×C43—21no—
173C4⋊C4×C43—21no—
174C4⋊C4×C43—21no—
175C4⋊C4×C43—21no—
176C4⋊C4×C43—21no—
177C4⋊C4×C43—21no—
178C4⋊C4×C43—21no—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—42no—
181C4⋊C4×C43—42no—
182C4⋊C4×C43C22×C412yes—
183C4⋊C4×C43C22×C412yes—
184C4⋊C4×C43#4112yes—
185C4⋊C4×C43#4112yes—
186C22⋊C4×C43—24no—
187C22⋊C4×C43—42no—
188C22⋊C4×C43—42no—
189C22⋊C4×C43—42no—
190C22⋊C4×C43—42no—
191C42×C43—24no—
192C42×C43—24no—
193C42×C43—24no—
194C42×C43—22no—
195C42×C43—22no—
196C42×C43—21no—
197C42×C43—21no—
198C42×C43—21no—
199C42×C43—21no—
200C42×C43—41no—
201C42×C43—41no—
202C42×C43—42no—
203C42×C43—42no—
204C42×C43—42no—
205C42×C43—42no—
206C42×C43C22×C412yes—
207C42×C43#4112yes—
208C23×C43—22no—
209C23×C43—41no—
210C23×C43—41no—
211C23×C43—41no—
212C23×C43—41no—
213C23×C43—41no—
214C23×C43—41no—
215C23×C43C22×D411yescharacteristic
216Q8×C43—22no—
217Q8×C43—22no—
218Q8×C43—22no—
219Q8×C43#11714yescomplemented
220D4×C43—22no—
221D4×C43—22no—
222D4×C43—41no—
223D4×C43—41no—
224C2×C4×C43—22no—
225C2×C4×C43—21no—
226C2×C4×C43—21no—
227C2×C4×C43—22no—
228C2×C4×C43—22no—
229C2×C4×C43—21no—
230C2×C4×C43—21no—
231C2×C4×C43—21no—
232C2×C4×C43—21no—
233C2×C4×C43—21no—
234C2×C4×C43—21no—
235C2×C4×C43—22no—
236C2×C4×C43—22no—
237C2×C4×C43—21no—
238C2×C4×C43—21no—
239C2×C4×C43—22no—
240C2×C4×C43—22no—
241C2×C4×C43—21no—
242C2×C4×C43—21no—
243C2×C4×C43—21no—
244C2×C4×C43—21no—
245C2×C4×C43—48no—
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—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43C4×D412yes—
261C2×C4×C43C4×D412yes—
262C2×C4×C43AGL(1,ℤ/8)12yes—
263C2×C4×C43#13712yes—
264C2×C4×C43C23×C411yescharacteristic
265C2×C4×C43C2×#4111yescharacteristic
266C2×C4×C43C2×#4111yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C2×C4×C43C2×#4111yescharacteristic
270C8×C43—22no—
271C8×C43—22no—
272C8×C43—41no—
273C8×C43—41no—
274#21124C4311yesmaximal, characteristic, direct product factor, Sylow
275C22×C43—42no—
276C22×C43—42no—
277C22×C43—42no—
278C22×C43—81no—
279C22×C43—81no—
280C22×C43—81no—
281C22×C43—81no—
282C22×C43C2×C4×D411yescharacteristic
283C22×C43#52511yescharacteristic
284C22×C43#52511yescharacteristic
285C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
286C22×C43C2×#13711yescharacteristic
287C22×C43#57511yescharacteristic
288C22×C43#57511yescharacteristic
289C4×C43—22no—
290C4×C43—22no—
291C4×C43—22no—
292C4×C43—22no—
293C4×C43—24no—
294C4×C43—41no—
295C4×C43—42no—
296C4×C43—41no—
297C4×C43—42no—
298C4×C43—42no—
299C4×C43—42no—
300C4×C43—81no—
301C4×C43—81no—
302C4×C43C2×#11711yescharacteristic
303C4×C43C4×#4111yescharacteristic
304C4×C43#52911yescharacteristic
305C4×C43#52911yescharacteristic
306C2×#440C2×C4311yescharacteristic
307#2293C2×C4311yescharacteristic
308C42×Q8C2×C4311yescharacteristic, complemented
309#1926C2×C4311yescharacteristic
310#1925C2×C4311yescharacteristic
311#1921C2×C4311yescharacteristic, complemented
312#1918C2×C4311yescharacteristic, complemented
313#1880C2×C4311yescharacteristic
314#1880C2×C4311yescharacteristic
315#1865C2×C4311yescharacteristic, complemented
316#1863C2×C4311yescharacteristic, complemented
317#1776C2×C4311yescharacteristic, complemented
318#1763C2×C4311yescharacteristic, complemented
319#1762C2×C4311yescharacteristic
320#1745C2×C4311yescharacteristic, complemented
321C2×C43—82no—
322C2×C43#229011yescharacteristic
323C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
324C2×C43C4×#13711yescharacteristic
325C2×C43#311111yescharacteristic
326C2×C43#311211yescharacteristic
327C2×C43#311511yescharacteristic
328C2×C43#311711yescharacteristic
329C22×SD16C22×C4311yescharacteristic
330C2×C4×Q8C22×C4311yescharacteristic
331C2×C4×Q8C22×C4311yescharacteristic
332C2×C4×Q8C22×C4311yescharacteristic
333C2×C4×D4C22×C4311yescharacteristic
334C2×#117—21no—
335#440C4×C4318yescomplemented
336C2×#107C22×C4311yescharacteristic
337C2×#107C22×C4311yescharacteristic
338C2×#106C22×C4311yescharacteristic
339C2×#103C22×C4311yescharacteristic
340C2×#103C22×C4311yescharacteristic
341C2×#103C22×C4311yescharacteristic
342C2×#102C22×C4311yescharacteristic
343C2×#102C22×C4311yescharacteristic
344C2×#102C22×C4311yescharacteristic
345C2×#97C22×C4311yescharacteristic
346C2×#97C22×C4311yescharacteristic
347#390C22×C4311yescharacteristic
348#390C22×C4311yescharacteristic
349#389C22×C4311yescharacteristic
350#389C22×C4311yescharacteristic
351#388—21no—
352#388—21no—
353C4×C4⋊C4—21no—
354C4×C4⋊C4—21no—
355C4×C4⋊C4—21no—
356C4×C4⋊C4C22×C4311yescharacteristic
357C4×C4⋊C4C22×C4311yescharacteristic
358C4×C4⋊C4C22×C4311yescharacteristic
359C4×C4⋊C4C22×C4311yescharacteristic
360C4×C22⋊C4—21no—
361C43—21no—
362C43C22×C4311yescharacteristic
363#340C22×C4311yescharacteristic
364#340C22×C4311yescharacteristic
365#340C22×C4311yescharacteristic
366#340C22×C4311yescharacteristic
367#340C22×C4311yescharacteristic
368#340C22×C4311yescharacteristic
369#336C22×C4311yescharacteristic
370#336C22×C4311yescharacteristic
371#336C22×C4311yescharacteristic
372#336C22×C4311yescharacteristic
373C43#2112411yescharacteristic, direct product factor, Sylow
374C22×Q8C23×C4311yescharacteristic
375C22×D4C23×C4311yescharacteristic
376C23×C4—21no—
377C2×SD16—22no—
378C2×SD16—22no—
379C2×SD16C2×C4×C4314yes—
380C22×C8C23×C4311yescharacteristic
381C22×C8C23×C4311yescharacteristic
382C22×C8C23×C4311yescharacteristic
383C22×C8C23×C4311yescharacteristic
384C4×Q8—22no—
385C4×Q8—22no—
386C4×Q8—22no—
387C4×Q8—22no—
388C4×Q8—22no—
389C4×Q8C2×C4×C4314yes—
390C4×D4—22no—
391C4×D4C2×C4×C4314yes—
392#117—44no—
393C2×C4⋊C4—21no—
394C2×C4⋊C4—21no—
395C2×C4⋊C4—21no—
396C2×C4⋊C4—21no—
397C2×C4⋊C4—21no—
398C2×C4⋊C4C23×C4311yescharacteristic
399C2×C4⋊C4C23×C4311yescharacteristic
400C2×C4⋊C4C23×C4311yescharacteristic
401C2×C4⋊C4C23×C4311yescharacteristic
402C2×C4⋊C4C23×C4311yescharacteristic
403C2×C4⋊C4C23×C4311yescharacteristic
404C2×C22⋊C4—21no—
405C2×C22⋊C4—21no—
406C2×C22⋊C4—21no—
407C2×C22⋊C4—21no—
408C2×C22⋊C4—21no—
409C2×C42—21no—
410C2×C42—21no—
411C2×C42—21no—
412C2×C42—21no—
413C2×C42—21no—
414C2×C42—21no—
415C2×C42—21no—
416C2×C42D4×C4311yescharacteristic
417C2×C42D4×C4311yescharacteristic
418C2×C42D4×C4311yescharacteristic
419C2×C42D4×C4311yescharacteristic
420C2×C42C23×C4311yescharacteristic
421C2×C42C23×C4311yescharacteristic
422C2×C42C23×C4311yescharacteristic
423#107—22no—
424#107C2×C4×C4314yes—
425#106—22no—
426#103—22no—
427#103—22no—
428#103C2×C4×C4314yes—
429#102—22no—
430#102—22no—
431#102C2×C4×C4314yes—
432#97—22no—
433#97C2×C4×C4314yes—
434#95—21no—
435#95—21no—
436#95—21no—
437#95—21no—
438#95—21no—
439#95—21no—
440C24—21no—
441C2×Q8—21no—
442C2×Q8—21no—
443C2×Q8—21no—
444C2×Q8C22×C4×C4312yes—
445C2×Q8#41×C4312yes—
446C2×Q8#41×C4312yes—
447C2×D4—21no—
448C2×D4—21no—
449C2×D4—21no—
450C2×D4—21no—
451C2×D4—21no—
452C2×D4C22×C4×C4312yes—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—24no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4C2×D4×C4311yescharacteristic
464C22×C4C2×D4×C4311yescharacteristic
465C22×C4C2×D4×C4311yescharacteristic
466C22×C4C2×D4×C4311yescharacteristic
467C22×C4C2×D4×C4311yescharacteristic
468C22×C4C2×D4×C4311yescharacteristic
469C22×C4C24×C4311yescharacteristic
470SD16—28no—
471C2×C8—21no—
472C2×C8—21no—
473C2×C8—21no—
474C2×C8—21no—
475C2×C8—21no—
476C2×C8—21no—
477C2×C8—21no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8C22×C4×C4312yes—
482C2×C8C22×C4×C4312yes—
483C4⋊C4—24no—
484C4⋊C4—24no—
485C4⋊C4—24no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4—21no—
489C4⋊C4—21no—
490C4⋊C4—21no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—42no—
495C4⋊C4—42no—
496C4⋊C4C22×C4×C4312yes—
497C4⋊C4C22×C4×C4312yes—
498C4⋊C4#41×C4312yes—
499C4⋊C4#41×C4312yes—
500C22⋊C4—24no—
501C22⋊C4—42no—
502C22⋊C4—42no—
503C22⋊C4—42no—
504C22⋊C4—42no—
505C42—24no—
506C42—24no—
507C42—24no—
508C42—22no—
509C42—22no—
510C42—21no—
511C42—21no—
512C42—21no—
513C42—21no—
514C42—41no—
515C42—41no—
516C42—42no—
517C42—42no—
518C42—42no—
519C42—42no—
520C42C22×C4×C4312yes—
521C42#41×C4312yes—
522C23—22no—
523C23—41no—
524C23—41no—
525C23—41no—
526C23—41no—
527C23—41no—
528C23—41no—
529C23C22×D4×C4311yescharacteristic
530Q8—22no—
531Q8—22no—
532Q8—22no—
533Q8#117×C4314yescomplemented
534D4—22no—
535D4—22no—
536D4—41no—
537D4—41no—
538C2×C4—22no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—48no—
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—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4C4×D4×C4312yes—
575C2×C4C4×D4×C4312yes—
576C2×C4AGL(1,ℤ/8)×C4312yes—
577C2×C4#137×C4312yes—
578C2×C4C23×C4×C4311yescharacteristic
579C2×C4C2×#41×C4311yescharacteristic
580C2×C4C2×#41×C4311yescharacteristic
581C2×C4C2×#41×C4311yescharacteristic
582C2×C4C2×#41×C4311yescharacteristic
583C2×C4C2×#41×C4311yescharacteristic
584C8—22no—
585C8—22no—
586C8—41no—
587C8—41no—
588C22—42no—
589C22—42no—
590C22—42no—
591C22—81no—
592C22—81no—
593C22—81no—
594C22—81no—
595C22C2×C4×D4×C4311yescharacteristic
596C22C43×#52511yescharacteristic
597C22C43×#52511yescharacteristic
598C22C2×AGL(1,ℤ/8)×C4311yescharacteristic
599C22C2×#137×C4311yescharacteristic
600C22C43×#57511yescharacteristic
601C22C43×#57511yescharacteristic
602C4—22no—
603C4—22no—
604C4—22no—
605C4—22no—
606C4—24no—
607C4—41no—
608C4—42no—
609C4—41no—
610C4—42no—
611C4—42no—
612C4—42no—
613C4—81no—
614C4—81no—
615C4C2×#117×C4311yescharacteristic
616C4C4×#41×C4311yescharacteristic
617C4C43×#52911yescharacteristic
618C4C43×#52911yescharacteristic
619C2—82no—
620C2C43×#229011yescharacteristic
621C2C4×AGL(1,ℤ/8)×C4311yescharacteristic
622C2C4×#137×C4311yescharacteristic
623C2C43×#311111yescharacteristic
624C2C43×#311211yescharacteristic
625C2C43×#311511yescharacteristic
626C2C43×#311711yescharacteristic
subgroupG/H
center, socleC23×C43C22×D4
commutatorC2×C4C23×C4×C43
Frattini, cosocleC22×C4C24×C43
prime radicalC22×D4×C43C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C43 ◁ C43×C43 ◁ G

Complements

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

NH ≅ G/Ntype
3. C42×Q8×C43C2semidirect
6. C43×#1921C2semidirect
7. C43×#1918C2semidirect
10. C43×#1865C2semidirect
11. C43×#1863C2semidirect
12. C43×#1776C2semidirect
13. C43×#1763C2semidirect
15. C43×#1745C2semidirect
22. C43×#440C4semidirect
219. Q8×C43#117semidirect
274. #21124C43direct (N × H)
308. C42×Q8C2×C43semidirect
311. #1921C2×C43semidirect
312. #1918C2×C43semidirect
315. #1865C2×C43semidirect
316. #1863C2×C43semidirect
317. #1776C2×C43semidirect
318. #1763C2×C43semidirect
320. #1745C2×C43semidirect
335. #440C4×C43semidirect
373. C43#21124direct (N × H)
533. Q8#117×C43semidirect

Maximal subgroups

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

subgroupindex
C2×C43×#4402
C43×#22932
C42×Q8×C432
C43×#19262
C43×#19252
C43×#19212
C43×#19182
C43×#18802
C43×#18652
C43×#18632
C43×#17762
C43×#17632
C43×#17622
C43×#17452
#2112443