Finite Group Databasebeta

← C43×#26379 #24946396

Subgroups — C43×#26379 #24946396

Order 11008.

828 conjugacy classes of subgroups.

The subgroup lattice has 636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#479C211yesmaximal, characteristic, complemented
2C2×C4×SD16×C43C211yesmaximal, characteristic
3C43×#2454C211yesmaximal, characteristic
4Q8×C4⋊C4×C43C211yesmaximal, characteristic, complemented
5C43×#2093C211yesmaximal, characteristic
6C43×#2084C211yesmaximal, characteristic, complemented
7C43×#2067C211yesmaximal, characteristic
8C43×#2059C211yesmaximal, characteristic, complemented
9C43×#1942C211yesmaximal, characteristic, complemented
10C43×#1916C211yesmaximal, characteristic, complemented
11C43×#1880C211yesmaximal, characteristic
12C43×#1880C211yesmaximal, characteristic
13C43×#1864C211yesmaximal, characteristic
14C43×#1863C211yesmaximal, characteristic, complemented
15C43×#1863C211yesmaximal, characteristic, complemented
16C22×SD16×C43C2211yescharacteristic
17C2×#125×C43C2211yescharacteristic
18C2×C4×Q8×C43C2211yescharacteristic
19C2×C4×Q8×C43C2211yescharacteristic
20C2×C4×Q8×C43C2211yescharacteristic
21C2×C4×D4×C43C2211yescharacteristic
22C43×#479—24no—
23C4×SD16×C43—24no—
24C2×#107×C43C2211yescharacteristic
25C2×#107×C43C2211yescharacteristic
26C2×#107×C43C2211yescharacteristic
27C2×#106×C43C2211yescharacteristic
28C2×#106×C43C2211yescharacteristic
29C2×C4⋊C8×C43C2211yescharacteristic
30C2×#103×C43C2211yescharacteristic
31C2×#103×C43C2211yescharacteristic
32C2×#103×C43C2211yescharacteristic
33C2×#102×C43C2211yescharacteristic
34C2×#102×C43C2211yescharacteristic
35C2×#102×C43C2211yescharacteristic
36C2×C4×C8×C43C2211yescharacteristic
37C43×#399—21no—
38C43×#396—21no—
39C43×#390C2211yescharacteristic
40C43×#390C2211yescharacteristic
41C43×#389—21no—
42C43×#389—21no—
43C43×#389C2211yescharacteristic
44C43×#389C2211yescharacteristic
45C43×#389C2211yescharacteristic
46C43×#389C2211yescharacteristic
47C43×#385—21no—
48C43×#384—21no—
49C43×#384C2211yescharacteristic
50C43×#380—21no—
51C4×C4⋊C4×C43—21no—
52C4×C4⋊C4×C43C2211yescharacteristic
53C43×#340C2211yescharacteristic
54C43×#340C2211yescharacteristic
55C43×#340C2211yescharacteristic
56C43×#340C2211yescharacteristic
57C43×#336C2211yescharacteristic
58C43×#336C2211yescharacteristic
59C43×#336C2211yescharacteristic
60C43×#336C2211yescharacteristic
61C22×Q8×C43C2311yescharacteristic
62C22×D4×C43C2311yescharacteristic
63C23×C4×C43—21no—
64C2×SD16×C43—22no—
65C2×SD16×C43—22no—
66C2×SD16×C43Q814yes—
67C22×C8×C43C2311yescharacteristic
68C22×C8×C43C2311yescharacteristic
69C22×C8×C43C2311yescharacteristic
70C22×C8×C43C2311yescharacteristic
71#125×C43—22no—
72#125×C43—41no—
73C4×Q8×C43—22no—
74C4×Q8×C43—22no—
75C4×Q8×C43—22no—
76C4×Q8×C43—22no—
77C4×Q8×C43—41no—
78C4×Q8×C43—41no—
79C4×D4×C43—22no—
80C4×D4×C43—41no—
81C2×C4⋊C4×C43—21no—
82C2×C4⋊C4×C43—21no—
83C2×C4⋊C4×C43—21no—
84C2×C4⋊C4×C43—21no—
85C2×C4⋊C4×C43—21no—
86C2×C4⋊C4×C43—21no—
87C2×C4⋊C4×C43—21no—
88C2×C4⋊C4×C43—21no—
89C2×C4⋊C4×C43—21no—
90C2×C4⋊C4×C43—21no—
91C2×C4⋊C4×C43—21no—
92C2×C4⋊C4×C43D411yescharacteristic
93C2×C4⋊C4×C43D411yescharacteristic
94C2×C4⋊C4×C43C2311yescharacteristic
95C2×C4⋊C4×C43C2311yescharacteristic
96C2×C4⋊C4×C43C2311yescharacteristic
97C2×C4⋊C4×C43C2311yescharacteristic
98C2×C4⋊C4×C43C2311yescharacteristic
99C2×C4⋊C4×C43C2311yescharacteristic
100C2×C22⋊C4×C43—21no—
101C2×C22⋊C4×C43—21no—
102C2×C22⋊C4×C43—21no—
103C2×C22⋊C4×C43—21no—
104C2×C22⋊C4×C43—21no—
105C2×C42×C43—21no—
106C2×C42×C43—21no—
107C2×C42×C43—21no—
108C2×C42×C43C2311yescharacteristic
109C2×C42×C43C2311yescharacteristic
110C2×C42×C43C2311yescharacteristic
111#107×C43—22no—
112#107×C43—22no—
113#107×C43—41no—
114#106×C43—22no—
115#106×C43—22no—
116C4⋊C8×C43—22no—
117#103×C43—22no—
118#103×C43—22no—
119#103×C43D414yes—
120#102×C43—22no—
121#102×C43—22no—
122#102×C43—41no—
123C4×C8×C43—22no—
124#95×C43—21no—
125#95×C43—21no—
126#95×C43—21no—
127#95×C43—21no—
128#95×C43D411yescharacteristic
129#95×C43D411yescharacteristic
130C24×C43—21no—
131C2×Q8×C43—21no—
132C2×Q8×C43—21no—
133C2×Q8×C43—21no—
134C2×Q8×C43C2×D412yes—
135C2×Q8×C43C2×Q812yes—
136C2×Q8×C43#4112yes—
137C2×D4×C43—21no—
138C2×D4×C43—21no—
139C2×D4×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43C2×Q812yes—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—42no—
151C22×C4×C43—42no—
152C22×C4×C43—81no—
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2×D411yescharacteristic
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2411yescharacteristic
160SD16×C43—28no—
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×C43—21no—
168C2×C8×C43—21no—
169C2×C8×C43—21no—
170C2×C8×C43—21no—
171C2×C8×C43C2×D412yes—
172C2×C8×C43C2×Q812yes—
173C4⋊C4×C43—24no—
174C4⋊C4×C43—22no—
175C4⋊C4×C43—22no—
176C4⋊C4×C43—21no—
177C4⋊C4×C43—21no—
178C4⋊C4×C43—21no—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—21no—
181C4⋊C4×C43—21no—
182C4⋊C4×C43—21no—
183C4⋊C4×C43—21no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—21no—
186C4⋊C4×C43—42no—
187C4⋊C4×C43—42no—
188C4⋊C4×C43—42no—
189C4⋊C4×C43—42no—
190C4⋊C4×C43—42no—
191C4⋊C4×C43—81no—
192C4⋊C4×C43—81no—
193C4⋊C4×C43—81no—
194C4⋊C4×C43—81no—
195C4⋊C4×C43—81no—
196C4⋊C4×C43C2×D412yes—
197C4⋊C4×C43#4112yes—
198C22⋊C4×C43—42no—
199C22⋊C4×C43—42no—
200C22⋊C4×C43—81no—
201C22⋊C4×C43—81no—
202C22⋊C4×C43—81no—
203C42×C43—24no—
204C42×C43—21no—
205C42×C43—21no—
206C42×C43—21no—
207C42×C43—21no—
208C42×C43—21no—
209C42×C43—21no—
210C42×C43—42no—
211C42×C43—42no—
212C23×C43—22no—
213C23×C43—41no—
214C23×C43—41no—
215C23×C43—41no—
216C23×C43—41no—
217C23×C43—41no—
218C23×C43—41no—
219C23×C43C22×D411yescharacteristic
220Q8×C43—22no—
221Q8×C43—22no—
222Q8×C43—22no—
223Q8×C43C22⋊Q814yes—
224D4×C43—22no—
225D4×C43—22no—
226D4×C43—41no—
227D4×C43—41no—
228C2×C4×C43—21no—
229C2×C4×C43—22no—
230C2×C4×C43—21no—
231C2×C4×C43—22no—
232C2×C4×C43—22no—
233C2×C4×C43—21no—
234C2×C4×C43—21no—
235C2×C4×C43—21no—
236C2×C4×C43—22no—
237C2×C4×C43—21no—
238C2×C4×C43—21no—
239C2×C4×C43—21no—
240C2×C4×C43—22no—
241C2×C4×C43—21no—
242C2×C4×C43—21no—
243C2×C4×C43—21no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—21no—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
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×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—84no—
266C2×C4×C43#13512yes—
267C2×C4×C43#13712yes—
268C2×C4×C43C22×D411yescharacteristic
269C2×C4×C43C22×Q811yescharacteristic
270C2×C4×C43C2×#4111yescharacteristic
271C2×C4×C43C2×#4111yescharacteristic
272C2×C4×C43H(5,𝔽2)11yescharacteristic
273C2×C4×C432−1+411yescharacteristic
274C8×C43—22no—
275C8×C43—22no—
276C8×C43—41no—
277C8×C43—41no—
278#26379C4311yesmaximal, characteristic, direct product factor, Sylow
279C22×C43—42no—
280C22×C43—42no—
281C22×C43—42no—
282C22×C43—81no—
283C22×C43—81no—
284C22×C43—81no—
285C22×C43—81no—
286C22×C43#52511yescharacteristic
287C22×C43D4211yescharacteristic
288C22×C43D4×Q811yescharacteristic
289C22×C43C2×#13511yescharacteristic
290C22×C43C2×#13711yescharacteristic
291C22×C43#57611yescharacteristic
292C22×C43#57711yescharacteristic
293C4×C43—22no—
294C4×C43—24no—
295C4×C43—22no—
296C4×C43—41no—
297C4×C43—42no—
298C4×C43—41no—
299C4×C43—42no—
300C4×C43—41no—
301C4×C43—41no—
302C4×C43—81no—
303C4×C43—81no—
304C4×C43—81no—
305C4×C43—81no—
306C4×C43C2×C22⋊Q811yescharacteristic
307C4×C43#53911yescharacteristic
308C4×C43#54711yescharacteristic
309C4×C43#55411yescharacteristic
310C2×#479C2×C4311yescharacteristic, complemented
311C2×C4×SD16C2×C4311yescharacteristic
312#2454C2×C4311yescharacteristic
313Q8×C4⋊C4C2×C4311yescharacteristic, complemented
314#2093C2×C4311yescharacteristic
315#2084C2×C4311yescharacteristic, complemented
316#2067C2×C4311yescharacteristic
317#2059C2×C4311yescharacteristic, complemented
318#1942C2×C4311yescharacteristic, complemented
319#1916C2×C4311yescharacteristic, complemented
320#1880C2×C4311yescharacteristic
321#1880C2×C4311yescharacteristic
322#1864C2×C4311yescharacteristic
323#1863C2×C4311yescharacteristic, complemented
324#1863C2×C4311yescharacteristic, complemented
325C2×C43—82no—
326C2×C43#244911yescharacteristic
327C2×C43#310811yescharacteristic
328C2×C43#311911yescharacteristic
329C2×C43#326611yescharacteristic
330C2×C43#328711yescharacteristic
331C2×C43#338111yescharacteristic
332C2×C43#338511yescharacteristic
333C22×SD16C22×C4311yescharacteristic
334C2×#125C22×C4311yescharacteristic
335C2×C4×Q8C22×C4311yescharacteristic
336C2×C4×Q8C22×C4311yescharacteristic
337C2×C4×Q8C22×C4311yescharacteristic
338C2×C4×D4C22×C4311yescharacteristic
339#479—24no—
340C4×SD16—24no—
341C2×#107C22×C4311yescharacteristic
342C2×#107C22×C4311yescharacteristic
343C2×#107C22×C4311yescharacteristic
344C2×#106C22×C4311yescharacteristic
345C2×#106C22×C4311yescharacteristic
346C2×C4⋊C8C22×C4311yescharacteristic
347C2×#103C22×C4311yescharacteristic
348C2×#103C22×C4311yescharacteristic
349C2×#103C22×C4311yescharacteristic
350C2×#102C22×C4311yescharacteristic
351C2×#102C22×C4311yescharacteristic
352C2×#102C22×C4311yescharacteristic
353C2×C4×C8C22×C4311yescharacteristic
354#399—21no—
355#396—21no—
356#390C22×C4311yescharacteristic
357#390C22×C4311yescharacteristic
358#389—21no—
359#389—21no—
360#389C22×C4311yescharacteristic
361#389C22×C4311yescharacteristic
362#389C22×C4311yescharacteristic
363#389C22×C4311yescharacteristic
364#385—21no—
365#384—21no—
366#384C22×C4311yescharacteristic
367#380—21no—
368C4×C4⋊C4—21no—
369C4×C4⋊C4C22×C4311yescharacteristic
370#340C22×C4311yescharacteristic
371#340C22×C4311yescharacteristic
372#340C22×C4311yescharacteristic
373#340C22×C4311yescharacteristic
374#336C22×C4311yescharacteristic
375#336C22×C4311yescharacteristic
376#336C22×C4311yescharacteristic
377#336C22×C4311yescharacteristic
378C43#2637911yescharacteristic, direct product factor, Sylow
379C22×Q8C23×C4311yescharacteristic
380C22×D4C23×C4311yescharacteristic
381C23×C4—21no—
382C2×SD16—22no—
383C2×SD16—22no—
384C2×SD16Q8×C4314yes—
385C22×C8C23×C4311yescharacteristic
386C22×C8C23×C4311yescharacteristic
387C22×C8C23×C4311yescharacteristic
388C22×C8C23×C4311yescharacteristic
389#125—22no—
390#125—41no—
391C4×Q8—22no—
392C4×Q8—22no—
393C4×Q8—22no—
394C4×Q8—22no—
395C4×Q8—41no—
396C4×Q8—41no—
397C4×D4—22no—
398C4×D4—41no—
399C2×C4⋊C4—21no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4D4×C4311yescharacteristic
411C2×C4⋊C4D4×C4311yescharacteristic
412C2×C4⋊C4C23×C4311yescharacteristic
413C2×C4⋊C4C23×C4311yescharacteristic
414C2×C4⋊C4C23×C4311yescharacteristic
415C2×C4⋊C4C23×C4311yescharacteristic
416C2×C4⋊C4C23×C4311yescharacteristic
417C2×C4⋊C4C23×C4311yescharacteristic
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C42—21no—
424C2×C42—21no—
425C2×C42—21no—
426C2×C42C23×C4311yescharacteristic
427C2×C42C23×C4311yescharacteristic
428C2×C42C23×C4311yescharacteristic
429#107—22no—
430#107—22no—
431#107—41no—
432#106—22no—
433#106—22no—
434C4⋊C8—22no—
435#103—22no—
436#103—22no—
437#103D4×C4314yes—
438#102—22no—
439#102—22no—
440#102—41no—
441C4×C8—22no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95D4×C4311yescharacteristic
447#95D4×C4311yescharacteristic
448C24—21no—
449C2×Q8—21no—
450C2×Q8—21no—
451C2×Q8—21no—
452C2×Q8C2×D4×C4312yes—
453C2×Q8C2×Q8×C4312yes—
454C2×Q8#41×C4312yes—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—21no—
460C2×D4C2×Q8×C4312yes—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—81no—
471C22×C4C2×D4×C4311yescharacteristic
472C22×C4C2×D4×C4311yescharacteristic
473C22×C4C2×D4×C4311yescharacteristic
474C22×C4C2×D4×C4311yescharacteristic
475C22×C4C2×D4×C4311yescharacteristic
476C22×C4C2×D4×C4311yescharacteristic
477C22×C4C24×C4311yescharacteristic
478SD16—28no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8C2×D4×C4312yes—
490C2×C8C2×Q8×C4312yes—
491C4⋊C4—24no—
492C4⋊C4—22no—
493C4⋊C4—22no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—42no—
505C4⋊C4—42no—
506C4⋊C4—42no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—81no—
510C4⋊C4—81no—
511C4⋊C4—81no—
512C4⋊C4—81no—
513C4⋊C4—81no—
514C4⋊C4C2×D4×C4312yes—
515C4⋊C4#41×C4312yes—
516C22⋊C4—42no—
517C22⋊C4—42no—
518C22⋊C4—81no—
519C22⋊C4—81no—
520C22⋊C4—81no—
521C42—24no—
522C42—21no—
523C42—21no—
524C42—21no—
525C42—21no—
526C42—21no—
527C42—21no—
528C42—42no—
529C42—42no—
530C23—22no—
531C23—41no—
532C23—41no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23C22×D4×C4311yescharacteristic
538Q8—22no—
539Q8—22no—
540Q8—22no—
541Q8C22⋊Q8×C4314yes—
542D4—22no—
543D4—22no—
544D4—41no—
545D4—41no—
546C2×C4—21no—
547C2×C4—22no—
548C2×C4—21no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—22no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—22no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—84no—
584C2×C4#135×C4312yes—
585C2×C4#137×C4312yes—
586C2×C4C22×D4×C4311yescharacteristic
587C2×C4C22×Q8×C4311yescharacteristic
588C2×C4C2×#41×C4311yescharacteristic
589C2×C4C2×#41×C4311yescharacteristic
590C2×C4H(5,𝔽2)×C4311yescharacteristic
591C2×C42−1+4×C4311yescharacteristic
592C8—22no—
593C8—22no—
594C8—41no—
595C8—41no—
596C22—42no—
597C22—42no—
598C22—42no—
599C22—81no—
600C22—81no—
601C22—81no—
602C22—81no—
603C22C43×#52511yescharacteristic
604C22D42×C4311yescharacteristic
605C22D4×Q8×C4311yescharacteristic
606C22C2×#135×C4311yescharacteristic
607C22C2×#137×C4311yescharacteristic
608C22C43×#57611yescharacteristic
609C22C43×#57711yescharacteristic
610C4—22no—
611C4—24no—
612C4—22no—
613C4—41no—
614C4—42no—
615C4—41no—
616C4—42no—
617C4—41no—
618C4—41no—
619C4—81no—
620C4—81no—
621C4—81no—
622C4—81no—
623C4C2×C22⋊Q8×C4311yescharacteristic
624C4C43×#53911yescharacteristic
625C4C43×#54711yescharacteristic
626C4C43×#55411yescharacteristic
627C2—82no—
628C2C43×#244911yescharacteristic
629C2C43×#310811yescharacteristic
630C2C43×#311911yescharacteristic
631C2C43×#326611yescharacteristic
632C2C43×#328711yescharacteristic
633C2C43×#338111yescharacteristic
634C2C43×#338511yescharacteristic
subgroupG/H
center, socleC23×C43C22×D4
commutator, Frattini, cosocleC22×C4C24×C43
prime radicalC22×D4×C43C23
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×#479C2semidirect
4. Q8×C4⋊C4×C43C2semidirect
6. C43×#2084C2semidirect
8. C43×#2059C2semidirect
9. C43×#1942C2semidirect
10. C43×#1916C2semidirect
14. C43×#1863C2semidirect
15. C43×#1863C2semidirect
278. #26379C43direct (N × H)
310. C2×#479C2×C43semidirect
313. Q8×C4⋊C4C2×C43semidirect
315. #2084C2×C43semidirect
317. #2059C2×C43semidirect
318. #1942C2×C43semidirect
319. #1916C2×C43semidirect
323. #1863C2×C43semidirect
324. #1863C2×C43semidirect
378. C43#26379direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C43×#4792
C2×C4×SD16×C432
C43×#24542
Q8×C4⋊C4×C432
C43×#20932
C43×#20842
C43×#20672
C43×#20592
C43×#19422
C43×#19162
C43×#18802
C43×#18642
C43×#18632
#2637943