Finite Group Databasebeta

← C43×#27194 #24947211

Subgroups — C43×#27194 #24947211

Order 11008.

826 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2445C211yesmaximal, characteristic
2C43×#2355C211yesmaximal, characteristic, complemented
3C43×#2094C211yesmaximal, characteristic, complemented
4C43×#2071C211yesmaximal, characteristic, complemented
5C43×#2066C211yesmaximal, characteristic, complemented
6C43×#2014C211yesmaximal, characteristic
7C43×#1982C211yesmaximal, characteristic
8C43×#1968C211yesmaximal, characteristic, complemented
9C43×#1926C211yesmaximal, characteristic, complemented
10C43×#1919C211yesmaximal, characteristic, complemented
11C43×#1916C211yesmaximal, characteristic, complemented
12C43×#1880C211yesmaximal, characteristic, complemented
13C43×#1880C211yesmaximal, characteristic, complemented
14C43×#1877C211yesmaximal, characteristic, complemented
15C4×#102×C43C211yesmaximal, characteristic, complemented
16C22×SD16×C43C2211yescharacteristic
17C22×SD16×C43C2211yescharacteristic
18C2×#127×C43C2211yescharacteristic
19C2×#123×C43—21no—
20C2×C4×Q8×C43C2211yescharacteristic
21C2×C4×D4×C43C2211yescharacteristic
22C2×#106×C43C2211yescharacteristic
23C2×#106×C43C2211yescharacteristic
24C2×C4⋊C8×C43C2211yescharacteristic
25C2×#103×C43C2211yescharacteristic
26C2×#103×C43C2211yescharacteristic
27C2×#102×C43C2211yescharacteristic
28C2×#102×C43C2211yescharacteristic
29C2×#102×C43C2211yescharacteristic
30C2×#102×C43C2211yescharacteristic
31C2×#102×C43C2211yescharacteristic
32C2×#102×C43C2211yescharacteristic
33C2×C4×C8×C43C2211yescharacteristic
34C43×#394—21no—
35C43×#394—21no—
36C43×#391C2211yescharacteristic
37C43×#391C2211yescharacteristic
38C43×#390C2211yescharacteristic
39C43×#390C2211yescharacteristic
40C43×#390C2211yescharacteristic
41C43×#389C2211yescharacteristic
42C43×#387—21no—
43C43×#387—21no—
44C43×#386—21no—
45C43×#384C2211yescharacteristic
46C43×#382—21no—
47C4×C4⋊C4×C43—21no—
48C4×C4⋊C4×C43C2211yescharacteristic
49C4×C4⋊C4×C43C2211yescharacteristic
50C4×C4⋊C4×C43C2211yescharacteristic
51C43×#340C2211yescharacteristic
52C43×#340C2211yescharacteristic
53C43×#340C2211yescharacteristic
54C43×#340C2211yescharacteristic
55C43×#336C2211yescharacteristic
56C43×#336C2211yescharacteristic
57C43×#336C2211yescharacteristic
58C43×#336C2211yescharacteristic
59C22×Q8×C43C2311yescharacteristic
60C22×D4×C43—21no—
61C22×D4×C43—21no—
62C22×D4×C43C2311yescharacteristic
63C22×D4×C43C2311yescharacteristic
64C23×C4×C43—21no—
65C2×SD16×C43—22no—
66C2×SD16×C43—22no—
67C2×SD16×C43—22no—
68C2×SD16×C43—22no—
69C2×SD16×C43—41no—
70C2×SD16×C43—41no—
71C22×C8×C43C2311yescharacteristic
72C22×C8×C43C2311yescharacteristic
73C22×C8×C43C2311yescharacteristic
74C22×C8×C43C2311yescharacteristic
75#127×C43—22no—
76#127×C43—41no—
77#123×C43—44no—
78C4×Q8×C43—22no—
79C4×Q8×C43—22no—
80C4×D4×C43—22no—
81C4×D4×C43—41no—
82C2×C4⋊C4×C43—21no—
83C2×C4⋊C4×C43—21no—
84C2×C4⋊C4×C43—21no—
85C2×C4⋊C4×C43—21no—
86C2×C4⋊C4×C43D411yescharacteristic
87C2×C4⋊C4×C43D411yescharacteristic
88C2×C4⋊C4×C43C2311yescharacteristic
89C2×C4⋊C4×C43C2311yescharacteristic
90C2×C4⋊C4×C43C2311yescharacteristic
91C2×C4⋊C4×C43C2311yescharacteristic
92C2×C4⋊C4×C43C2311yescharacteristic
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×C22⋊C4×C43—21no—
100C2×C42×C43—21no—
101C2×C42×C43—21no—
102C2×C42×C43—21no—
103C2×C42×C43C2311yescharacteristic
104C2×C42×C43C2311yescharacteristic
105C2×C42×C43C2311yescharacteristic
106#106×C43—22no—
107#106×C43—41no—
108C4⋊C8×C43—41no—
109#103×C43—41no—
110#103×C43—41no—
111#102×C43—22no—
112#102×C43—22no—
113#102×C43—22no—
114#102×C43—41no—
115#102×C43—41no—
116#102×C43—41no—
117C4×C8×C43—41no—
118#95×C43—21no—
119#95×C43—21no—
120#95×C43—21no—
121#95×C43—21no—
122#95×C43—21no—
123#95×C43—21no—
124#95×C43—21no—
125#95×C43D411yescharacteristic
126#95×C43D411yescharacteristic
127C24×C43—21no—
128C24×C43—21no—
129C2×Q8×C43—21no—
130C2×Q8×C43—21no—
131C2×Q8×C43—21no—
132C2×Q8×C43—21no—
133C2×Q8×C43—21no—
134C2×Q8×C43#4112yes—
135C2×D4×C43—21no—
136C2×D4×C43—21no—
137C2×D4×C43—21no—
138C2×D4×C43—21no—
139C2×D4×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—42no—
147C2×D4×C43—42no—
148C2×D4×C43—42no—
149C2×D4×C43—42no—
150C2×D4×C43—81no—
151C2×D4×C43—81no—
152C2×D4×C43#4112yes—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—42no—
160C22×C4×C43—42no—
161C22×C4×C43—81no—
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2×D411yescharacteristic
164C22×C4×C43C2×D411yescharacteristic
165C22×C4×C43C2×D411yescharacteristic
166C22×C4×C43C2×D411yescharacteristic
167C22×C4×C43C2×D411yescharacteristic
168C22×C4×C43C2411yescharacteristic
169SD16×C43—44no—
170SD16×C43—44no—
171C2×C8×C43—21no—
172C2×C8×C43—21no—
173C2×C8×C43—21no—
174C2×C8×C43—21no—
175C2×C8×C43—21no—
176C2×C8×C43—21no—
177C2×C8×C43—21no—
178C2×C8×C43—21no—
179C2×C8×C43—21no—
180C2×C8×C43—21no—
181C2×C8×C43—21no—
182C2×C8×C43#4112yes—
183C4⋊C4×C43—24no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—21no—
186C4⋊C4×C43—21no—
187C4⋊C4×C43—21no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—41no—
194C4⋊C4×C43—42no—
195C4⋊C4×C43—42no—
196C4⋊C4×C43—81no—
197C4⋊C4×C43SD1614yescomplemented
198C4⋊C4×C43#4112yes—
199C22⋊C4×C43—42no—
200C22⋊C4×C43—42no—
201C22⋊C4×C43—42no—
202C22⋊C4×C43—42no—
203C22⋊C4×C43—81no—
204C22⋊C4×C43—81no—
205C22⋊C4×C43—81no—
206C42×C43—24no—
207C42×C43—21no—
208C42×C43—21no—
209C42×C43—21no—
210C42×C43—21no—
211C42×C43—21no—
212C42×C43—21no—
213C42×C43—81no—
214C42×C43—81no—
215C23×C43—22no—
216C23×C43—41no—
217C23×C43—41no—
218C23×C43—41no—
219C23×C43—41no—
220C23×C43—41no—
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×C43C22×D411yescharacteristic
230Q8×C43—22no—
231Q8×C43—22no—
232Q8×C43—41no—
233Q8×C43—41no—
234D4×C43—22no—
235D4×C43—22no—
236D4×C43—41no—
237D4×C43—41no—
238D4×C43—41no—
239D4×C43—41no—
240D4×C43—41no—
241D4×C43—41no—
242D4×C43—84no—
243D4×C43—84no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—21no—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
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—84no—
278C2×C4×C43C2×SD1612yes—
279C2×C4×C43C2×SD1612yes—
280C2×C4×C43C2×SD1612yes—
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43H(5,𝔽2)11yescharacteristic
286C2×C4×C43H(5,𝔽2)11yescharacteristic
287C8×C43—22no—
288C8×C43—41no—
289C8×C43—41no—
290C8×C43—41no—
291#27194C4311yesmaximal, characteristic, direct product factor, Sylow
292C22×C43—42no—
293C22×C43—42no—
294C22×C43—42no—
295C22×C43—81no—
296C22×C43—81no—
297C22×C43—81no—
298C22×C43—81no—
299C22×C43—81no—
300C22×C43—81no—
301C22×C43—81no—
302C22×C43—81no—
303C22×C43—81no—
304C22×C43—81no—
305C22×C43—81no—
306C22×C43#52511yescharacteristic
307C22×C43#54611yescharacteristic
308C22×C43#55011yescharacteristic
309C22×C43C22×SD1611yescharacteristic
310C22×C43#57511yescharacteristic
311C22×C43#57611yescharacteristic
312C22×C43#57711yescharacteristic
313C4×C43—22no—
314C4×C43—22no—
315C4×C43—22no—
316C4×C43—41no—
317C4×C43—42no—
318C4×C43—42no—
319C4×C43—41no—
320C4×C43—41no—
321C4×C43—81no—
322C4×C43—81no—
323C4×C43—81no—
324C4×C43—81no—
325C4×C43#52911yescharacteristic
326C4×C43#54011yescharacteristic
327C4×C43#55111yescharacteristic
328C4×C43#55111yescharacteristic
329#2445C2×C4311yescharacteristic
330#2355C2×C4311yescharacteristic, complemented
331#2094C2×C4311yescharacteristic, complemented
332#2071C2×C4311yescharacteristic, complemented
333#2066C2×C4311yescharacteristic, complemented
334#2014C2×C4311yescharacteristic
335#1982C2×C4311yescharacteristic
336#1968C2×C4311yescharacteristic, complemented
337#1926C2×C4311yescharacteristic, complemented
338#1919C2×C4311yescharacteristic, complemented
339#1916C2×C4311yescharacteristic, complemented
340#1880C2×C4311yescharacteristic, complemented
341#1880C2×C4311yescharacteristic, complemented
342#1877C2×C4311yescharacteristic, complemented
343C4×#102C2×C4311yescharacteristic, complemented
344C2×C43—82no—
345C2×C43—161no—
346C2×C43#247111yescharacteristic
347C2×C43#310311yescharacteristic
348C2×C43#311911yescharacteristic
349C2×C43#329511yescharacteristic
350C2×C43#331111yescharacteristic
351C2×C43#339211yescharacteristic
352C2×C43#340311yescharacteristic
353C22×SD16C22×C4311yescharacteristic
354C22×SD16C22×C4311yescharacteristic
355C2×#127C22×C4311yescharacteristic
356C2×#123—21no—
357C2×C4×Q8C22×C4311yescharacteristic
358C2×C4×D4C22×C4311yescharacteristic
359C2×#106C22×C4311yescharacteristic
360C2×#106C22×C4311yescharacteristic
361C2×C4⋊C8C22×C4311yescharacteristic
362C2×#103C22×C4311yescharacteristic
363C2×#103C22×C4311yescharacteristic
364C2×#102C22×C4311yescharacteristic
365C2×#102C22×C4311yescharacteristic
366C2×#102C22×C4311yescharacteristic
367C2×#102C22×C4311yescharacteristic
368C2×#102C22×C4311yescharacteristic
369C2×#102C22×C4311yescharacteristic
370C2×C4×C8C22×C4311yescharacteristic
371#394—21no—
372#394—21no—
373#391C22×C4311yescharacteristic
374#391C22×C4311yescharacteristic
375#390C22×C4311yescharacteristic
376#390C22×C4311yescharacteristic
377#390C22×C4311yescharacteristic
378#389C22×C4311yescharacteristic
379#387—21no—
380#387—21no—
381#386—21no—
382#384C22×C4311yescharacteristic
383#382—21no—
384C4×C4⋊C4—21no—
385C4×C4⋊C4C22×C4311yescharacteristic
386C4×C4⋊C4C22×C4311yescharacteristic
387C4×C4⋊C4C22×C4311yescharacteristic
388#340C22×C4311yescharacteristic
389#340C22×C4311yescharacteristic
390#340C22×C4311yescharacteristic
391#340C22×C4311yescharacteristic
392#336C22×C4311yescharacteristic
393#336C22×C4311yescharacteristic
394#336C22×C4311yescharacteristic
395#336C22×C4311yescharacteristic
396C43#2719411yescharacteristic, direct product factor, Sylow
397C22×Q8C23×C4311yescharacteristic
398C22×D4—21no—
399C22×D4—21no—
400C22×D4C23×C4311yescharacteristic
401C22×D4C23×C4311yescharacteristic
402C23×C4—21no—
403C2×SD16—22no—
404C2×SD16—22no—
405C2×SD16—22no—
406C2×SD16—22no—
407C2×SD16—41no—
408C2×SD16—41no—
409C22×C8C23×C4311yescharacteristic
410C22×C8C23×C4311yescharacteristic
411C22×C8C23×C4311yescharacteristic
412C22×C8C23×C4311yescharacteristic
413#127—22no—
414#127—41no—
415#123—44no—
416C4×Q8—22no—
417C4×Q8—22no—
418C4×D4—22no—
419C4×D4—41no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4D4×C4311yescharacteristic
425C2×C4⋊C4D4×C4311yescharacteristic
426C2×C4⋊C4C23×C4311yescharacteristic
427C2×C4⋊C4C23×C4311yescharacteristic
428C2×C4⋊C4C23×C4311yescharacteristic
429C2×C4⋊C4C23×C4311yescharacteristic
430C2×C4⋊C4C23×C4311yescharacteristic
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C42—21no—
439C2×C42—21no—
440C2×C42—21no—
441C2×C42C23×C4311yescharacteristic
442C2×C42C23×C4311yescharacteristic
443C2×C42C23×C4311yescharacteristic
444#106—22no—
445#106—41no—
446C4⋊C8—41no—
447#103—41no—
448#103—41no—
449#102—22no—
450#102—22no—
451#102—22no—
452#102—41no—
453#102—41no—
454#102—41no—
455C4×C8—41no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95D4×C4311yescharacteristic
464#95D4×C4311yescharacteristic
465C24—21no—
466C24—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8#41×C4312yes—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—81no—
489C2×D4—81no—
490C2×D4#41×C4312yes—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—81no—
500C22×C4C2×D4×C4311yescharacteristic
501C22×C4C2×D4×C4311yescharacteristic
502C22×C4C2×D4×C4311yescharacteristic
503C22×C4C2×D4×C4311yescharacteristic
504C22×C4C2×D4×C4311yescharacteristic
505C22×C4C2×D4×C4311yescharacteristic
506C22×C4C24×C4311yescharacteristic
507SD16—44no—
508SD16—44no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8#41×C4312yes—
521C4⋊C4—24no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—41no—
532C4⋊C4—42no—
533C4⋊C4—42no—
534C4⋊C4—81no—
535C4⋊C4SD16×C4314yescomplemented
536C4⋊C4#41×C4312yes—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—81no—
542C22⋊C4—81no—
543C22⋊C4—81no—
544C42—24no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—81no—
552C42—81no—
553C23—22no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23C22×D4×C4311yescharacteristic
568Q8—22no—
569Q8—22no—
570Q8—41no—
571Q8—41no—
572D4—22no—
573D4—22no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—84no—
581D4—84no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—84no—
616C2×C4C2×SD16×C4312yes—
617C2×C4C2×SD16×C4312yes—
618C2×C4C2×SD16×C4312yes—
619C2×C4C2×#41×C4311yescharacteristic
620C2×C4C2×#41×C4311yescharacteristic
621C2×C4C2×#41×C4311yescharacteristic
622C2×C4C2×#41×C4311yescharacteristic
623C2×C4H(5,𝔽2)×C4311yescharacteristic
624C2×C4H(5,𝔽2)×C4311yescharacteristic
625C8—22no—
626C8—41no—
627C8—41no—
628C8—41no—
629C22—42no—
630C22—42no—
631C22—42no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22C43×#52511yescharacteristic
644C22C43×#54611yescharacteristic
645C22C43×#55011yescharacteristic
646C22C22×SD16×C4311yescharacteristic
647C22C43×#57511yescharacteristic
648C22C43×#57611yescharacteristic
649C22C43×#57711yescharacteristic
650C4—22no—
651C4—22no—
652C4—22no—
653C4—41no—
654C4—42no—
655C4—42no—
656C4—41no—
657C4—41no—
658C4—81no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4C43×#52911yescharacteristic
663C4C43×#54011yescharacteristic
664C4C43×#55111yescharacteristic
665C4C43×#55111yescharacteristic
666C2—82no—
667C2—161no—
668C2C43×#247111yescharacteristic
669C2C43×#310311yescharacteristic
670C2C43×#311911yescharacteristic
671C2C43×#329511yescharacteristic
672C2C43×#331111yescharacteristic
673C2C43×#339211yescharacteristic
674C2C43×#340311yescharacteristic
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
2. C43×#2355C2semidirect
3. C43×#2094C2semidirect
4. C43×#2071C2semidirect
5. C43×#2066C2semidirect
8. C43×#1968C2semidirect
9. C43×#1926C2semidirect
10. C43×#1919C2semidirect
11. C43×#1916C2semidirect
12. C43×#1880C2semidirect
13. C43×#1880C2semidirect
14. C43×#1877C2semidirect
15. C4×#102×C43C2semidirect
197. C4⋊C4×C43SD16semidirect
291. #27194C43direct (N × H)
330. #2355C2×C43semidirect
331. #2094C2×C43semidirect
332. #2071C2×C43semidirect
333. #2066C2×C43semidirect
336. #1968C2×C43semidirect
337. #1926C2×C43semidirect
338. #1919C2×C43semidirect
339. #1916C2×C43semidirect
340. #1880C2×C43semidirect
341. #1880C2×C43semidirect
342. #1877C2×C43semidirect
343. C4×#102C2×C43semidirect
396. C43#27194direct (N × H)
535. C4⋊C4SD16×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#24452
C43×#23552
C43×#20942
C43×#20712
C43×#20662
C43×#20142
C43×#19822
C43×#19682
C43×#19262
C43×#19192
C43×#19162
C43×#18802
C43×#18772
C4×#102×C432
#2719443