Finite Group Databasebeta

← C43×#13842 #24933859

Subgroups — C43×#13842 #24933859

Order 11008.

1814 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C4⋊C4×C43C211yesmaximal, characteristic, complemented
2C2×C4×C22⋊C4×C43C211yesmaximal, characteristic
3C2×C4×C22⋊C4×C43C211yesmaximal, characteristic
4C2×C4×C22⋊C4×C43C211yesmaximal, characteristic
5C2×C43×#376C211yesmaximal, characteristic, complemented
6C43×#1443C212yesmaximal, complemented
7C43×#1442C212yesmaximal, complemented
8C43×#1440C212yesmaximal
9C43×#1439C212yesmaximal
10C4×#95×C43C211yesmaximal, characteristic, complemented
11C4×#95×C43C211yesmaximal, characteristic, complemented
12C24×C4×C43C2211yescharacteristic
13C22×C4⋊C4×C43C2212yes—
14C22×C22⋊C4×C43C2212yes—
15C22×C22⋊C4×C43C2212yes—
16C22×C22⋊C4×C43C2211yescharacteristic
17C22×C22⋊C4×C43C2211yescharacteristic
18C22×C42×C43C2211yescharacteristic
19C22×C42×C43C2211yescharacteristic
20C22×C42×C43C2211yescharacteristic
21C22×C42×C43C2211yescharacteristic
22C22×C42×C43C2211yescharacteristic
23C22×C42×C43C2211yescharacteristic
24C4×C4⋊C4×C43—24no—
25C4×C22⋊C4×C43—24no—
26C4×C22⋊C4×C43—24no—
27C4×C22⋊C4×C43C418yescomplemented
28C43×#376—24no—
29C2×#95×C43C2212yes—
30C2×#95×C43C2212yes—
31C2×#95×C43C2212yes—
32C2×#95×C43C2212yes—
33C2×#95×C43C2212yes—
34C2×#95×C43C2212yes—
35C2×#95×C43C2212yes—
36C2×#95×C43C2212yes—
37C2×#95×C43C2212yes—
38C2×#95×C43C2211yescharacteristic
39C2×#95×C43C2211yescharacteristic
40C25×C43C2311yescharacteristic
41C23×C4×C43—22no—
42C23×C4×C43—22no—
43C23×C4×C43—22no—
44C23×C4×C43—22no—
45C23×C4×C43—22no—
46C23×C4×C43—22no—
47C23×C4×C43C2×C414yes—
48C23×C4×C43C2311yescharacteristic
49C23×C4×C43C2311yescharacteristic
50C23×C4×C43C2311yescharacteristic
51C23×C4×C43C2311yescharacteristic
52C23×C4×C43C2312yes—
53C23×C4×C43C2312yes—
54C23×C4×C43C2312yes—
55C23×C4×C43C2312yes—
56C23×C4×C43C2311yescharacteristic
57C23×C4×C43C2311yescharacteristic
58C2×C4⋊C4×C43—24no—
59C2×C4⋊C4×C43—24no—
60C2×C4⋊C4×C43—24no—
61C2×C22⋊C4×C43—24no—
62C2×C22⋊C4×C43—24no—
63C2×C22⋊C4×C43—24no—
64C2×C22⋊C4×C43—24no—
65C2×C22⋊C4×C43—24no—
66C2×C22⋊C4×C43—24no—
67C2×C22⋊C4×C43—24no—
68C2×C22⋊C4×C43—24no—
69C2×C22⋊C4×C43C2×C414yes—
70C2×C22⋊C4×C43C2×C414yes—
71C2×C42×C43—22no—
72C2×C42×C43—22no—
73C2×C42×C43—22no—
74C2×C42×C43—22no—
75C2×C42×C43—22no—
76C2×C42×C43—22no—
77C2×C42×C43—22no—
78C2×C42×C43—22no—
79C2×C42×C43—22no—
80C2×C42×C43—22no—
81C2×C42×C43—22no—
82C2×C42×C43—22no—
83C2×C42×C43—22no—
84C2×C42×C43—22no—
85C2×C42×C43C2×C414yes—
86C2×C42×C43C2×C414yes—
87C2×C42×C43D414yes—
88C2×C42×C43D414yes—
89#95×C43—24no—
90#95×C43—24no—
91#95×C43—24no—
92#95×C43—24no—
93#95×C43—24no—
94#95×C43—24no—
95#95×C43—24no—
96#95×C43—24no—
97#95×C43—24no—
98#95×C43C2×C414yes—
99#95×C43C2×C414yes—
100C24×C43—21no—
101C24×C43—21no—
102C24×C43—22no—
103C24×C43—22no—
104C24×C43—22no—
105C24×C43—21no—
106C24×C43—21no—
107C24×C43—21no—
108C24×C43—21no—
109C24×C43C22×C412yes—
110C24×C43#4114yes—
111C24×C43C2411yescharacteristic
112C22×C4×C43—28no—
113C22×C4×C43—28no—
114C22×C4×C43—28no—
115C22×C4×C43—21no—
116C22×C4×C43—21no—
117C22×C4×C43—21no—
118C22×C4×C43—22no—
119C22×C4×C43—21no—
120C22×C4×C43—21no—
121C22×C4×C43—21no—
122C22×C4×C43—22no—
123C22×C4×C43—22no—
124C22×C4×C43—22no—
125C22×C4×C43—21no—
126C22×C4×C43—22no—
127C22×C4×C43—22no—
128C22×C4×C43—22no—
129C22×C4×C43—22no—
130C22×C4×C43—22no—
131C22×C4×C43—22no—
132C22×C4×C43—22no—
133C22×C4×C43—22no—
134C22×C4×C43—22no—
135C22×C4×C43—22no—
136C22×C4×C43—22no—
137C22×C4×C43—22no—
138C22×C4×C43—22no—
139C22×C4×C43—21no—
140C22×C4×C43—22no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—22no—
144C22×C4×C43—22no—
145C22×C4×C43—22no—
146C22×C4×C43—22no—
147C22×C4×C43—22no—
148C22×C4×C43—22no—
149C22×C4×C43—22no—
150C22×C4×C43—22no—
151C22×C4×C43—22no—
152C22×C4×C43—22no—
153C22×C4×C43—22no—
154C22×C4×C43—22no—
155C22×C4×C43—22no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43—44no—
161C22×C4×C43—44no—
162C22×C4×C43—44no—
163C22×C4×C43—44no—
164C22×C4×C43C22×C412yes—
165C22×C4×C43C22×C412yes—
166C22×C4×C43C22×C412yes—
167C22×C4×C43C22×C412yes—
168C22×C4×C43C22×C412yes—
169C22×C4×C43C22×C412yes—
170C22×C4×C43C2×D414yes—
171C22×C4×C43C2×D414yes—
172C22×C4×C43C2×D412yes—
173C22×C4×C43C2×D412yes—
174C22×C4×C43#4114yes—
175C22×C4×C43#4114yes—
176C22×C4×C43#4114yes—
177C22×C4×C43#4112yes—
178C22×C4×C43#4112yes—
179C22×C4×C43#4112yes—
180C22×C4×C43#4112yes—
181C4⋊C4×C43—216no—
182C22⋊C4×C43—216no—
183C22⋊C4×C43—216no—
184C22⋊C4×C43—28no—
185C22⋊C4×C43—28no—
186C42×C43—28no—
187C42×C43—28no—
188C42×C43—28no—
189C42×C43—28no—
190C42×C43—44no—
191C42×C43—44no—
192C23×C43—22no—
193C23×C43—22no—
194C23×C43—22no—
195C23×C43—22no—
196C23×C43—22no—
197C23×C43—22no—
198C23×C43—24no—
199C23×C43—24no—
200C23×C43—24no—
201C23×C43—24no—
202C23×C43—24no—
203C23×C43—24no—
204C23×C43—41no—
205C23×C43—41no—
206C23×C43—42no—
207C23×C43—41no—
208C23×C43—41no—
209C23×C43—42no—
210C23×C43—42no—
211C23×C43—42no—
212C23×C43—42no—
213C23×C43—42no—
214C23×C43#11714yes—
215C23×C43C23×C411yescharacteristic
216C23×C43C22×D411yescharacteristic
217C23×C43C22×D411yescharacteristic
218C23×C43C2×#4111yescharacteristic
219C23×C43C2×#4111yescharacteristic
220C23×C43C2×#4112yes—
221C23×C43C2×#4112yes—
222C23×C43C2×#4111yescharacteristic
223C23×C43C2×#4111yescharacteristic
224C23×C43C2×#4112yes—
225C23×C43C2×#4112yes—
226C2×C4×C43—22no—
227C2×C4×C43—22no—
228C2×C4×C43—24no—
229C2×C4×C43—24no—
230C2×C4×C43—22no—
231C2×C4×C43—22no—
232C2×C4×C43—22no—
233C2×C4×C43—22no—
234C2×C4×C43—22no—
235C2×C4×C43—22no—
236C2×C4×C43—22no—
237C2×C4×C43—22no—
238C2×C4×C43—22no—
239C2×C4×C43—22no—
240C2×C4×C43—22no—
241C2×C4×C43—22no—
242C2×C4×C43—24no—
243C2×C4×C43—24no—
244C2×C4×C43—24no—
245C2×C4×C43—24no—
246C2×C4×C43—24no—
247C2×C4×C43—24no—
248C2×C4×C43—24no—
249C2×C4×C43—24no—
250C2×C4×C43—24no—
251C2×C4×C43—24no—
252C2×C4×C43—24no—
253C2×C4×C43—24no—
254C2×C4×C43—42no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—42no—
258C2×C4×C43—42no—
259C2×C4×C43—42no—
260C2×C4×C43—42no—
261C2×C4×C43—42no—
262C2×C4×C43—42no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—42no—
266C2×C4×C43—42no—
267C2×C4×C43—42no—
268C2×C4×C43—42no—
269C2×C4×C43—42no—
270C2×C4×C43—42no—
271C2×C4×C43—42no—
272C2×C4×C43—42no—
273C2×C4×C43—42no—
274C2×C4×C43—42no—
275C2×C4×C43—42no—
276C2×C4×C43—42no—
277C2×C4×C43—42no—
278C2×C4×C43—42no—
279C2×C4×C43—42no—
280C2×C4×C43—416no—
281C2×C4×C43#11714yes—
282C2×C4×C43#11714yes—
283C2×C4×C43C4×D414yes—
284C2×C4×C43C4×D414yes—
285C2×C4×C43#12114yes—
286C2×C4×C43#12314yes—
287C2×C4×C43#12414yes—
288C2×C4×C43#12614yes—
289#13842C4311yesmaximal, characteristic, direct product factor, Sylow
290C22×C43—24no—
291C22×C43—24no—
292C22×C43—24no—
293C22×C43—44no—
294C22×C43—44no—
295C22×C43—44no—
296C22×C43—44no—
297C22×C43—42no—
298C22×C43—42no—
299C22×C43—42no—
300C22×C43—42no—
301C22×C43C2×#11711yescharacteristic
302C22×C43C2×#11711yescharacteristic
303C22×C43C2×#11711yescharacteristic
304C22×C43C2×C4×D411yescharacteristic
305C22×C43C2×C4×D411yescharacteristic
306C22×C43C4×#4111yescharacteristic
307C22×C43C4×#4111yescharacteristic
308C22×C43C2×#12111yescharacteristic
309C22×C43C2×#12311yescharacteristic
310C22×C43#52512yes—
311C22×C43#52512yes—
312C22×C43#52512yes—
313C22×C43C2×#12411yescharacteristic
314C22×C43C2×#12611yescharacteristic
315C22×C43#52912yes—
316C22×C43#52912yes—
317C22×C43#52912yes—
318C22×C43#52912yes—
319C22×C43#52912yes—
320C22×C43#52912yes—
321C22×C43#52912yes—
322C22×C43#52912yes—
323C22×C43#53212yes—
324C4×C43—24no—
325C4×C43—44no—
326C4×C43—44no—
327C4×C43—44no—
328C4×C43—44no—
329C4×C43—42no—
330C4×C43—42no—
331C4×C43—42no—
332C4×C43—42no—
333C4×C43#38818yes—
334C2×C4×C4⋊C4C2×C4311yescharacteristic, complemented
335C2×C4×C22⋊C4C2×C4311yescharacteristic
336C2×C4×C22⋊C4C2×C4311yescharacteristic
337C2×C4×C22⋊C4C2×C4311yescharacteristic
338C2×#376C2×C4311yescharacteristic, complemented
339#1443C2×C4312yescomplemented
340#1442C2×C4312yescomplemented
341#1440C2×C4312yes—
342#1439C2×C4312yes—
343C4×#95C2×C4311yescharacteristic, complemented
344C4×#95C2×C4311yescharacteristic, complemented
345C2×C43—44no—
346C2×C43#228311yescharacteristic
347C2×C43C2×#38811yescharacteristic
348C2×C43#229011yescharacteristic
349C2×C43#229011yescharacteristic
350C2×C43#229011yescharacteristic
351C2×C43#229311yescharacteristic
352C2×C43#229811yescharacteristic
353C2×C43#239212yes—
354C2×C43#239512yes—
355C2×C43#239812yes—
356C2×C43#240112yes—
357C24×C4C22×C4311yescharacteristic
358C22×C4⋊C4C22×C4312yes—
359C22×C22⋊C4C22×C4312yes—
360C22×C22⋊C4C22×C4312yes—
361C22×C22⋊C4C22×C4311yescharacteristic
362C22×C22⋊C4C22×C4311yescharacteristic
363C22×C42C22×C4311yescharacteristic
364C22×C42C22×C4311yescharacteristic
365C22×C42C22×C4311yescharacteristic
366C22×C42C22×C4311yescharacteristic
367C22×C42C22×C4311yescharacteristic
368C22×C42C22×C4311yescharacteristic
369C4×C4⋊C4—24no—
370C4×C22⋊C4—24no—
371C4×C22⋊C4—24no—
372C4×C22⋊C4C4×C4318yescomplemented
373#376—24no—
374C2×#95C22×C4312yes—
375C2×#95C22×C4312yes—
376C2×#95C22×C4312yes—
377C2×#95C22×C4312yes—
378C2×#95C22×C4312yes—
379C2×#95C22×C4312yes—
380C2×#95C22×C4312yes—
381C2×#95C22×C4312yes—
382C2×#95C22×C4312yes—
383C2×#95C22×C4311yescharacteristic
384C2×#95C22×C4311yescharacteristic
385C43#1384211yescharacteristic, direct product factor, Sylow
386C25C23×C4311yescharacteristic
387C23×C4—22no—
388C23×C4—22no—
389C23×C4—22no—
390C23×C4—22no—
391C23×C4—22no—
392C23×C4—22no—
393C23×C4C2×C4×C4314yes—
394C23×C4C23×C4311yescharacteristic
395C23×C4C23×C4311yescharacteristic
396C23×C4C23×C4311yescharacteristic
397C23×C4C23×C4311yescharacteristic
398C23×C4C23×C4312yes—
399C23×C4C23×C4312yes—
400C23×C4C23×C4312yes—
401C23×C4C23×C4312yes—
402C23×C4C23×C4311yescharacteristic
403C23×C4C23×C4311yescharacteristic
404C2×C4⋊C4—24no—
405C2×C4⋊C4—24no—
406C2×C4⋊C4—24no—
407C2×C22⋊C4—24no—
408C2×C22⋊C4—24no—
409C2×C22⋊C4—24no—
410C2×C22⋊C4—24no—
411C2×C22⋊C4—24no—
412C2×C22⋊C4—24no—
413C2×C22⋊C4—24no—
414C2×C22⋊C4—24no—
415C2×C22⋊C4C2×C4×C4314yes—
416C2×C22⋊C4C2×C4×C4314yes—
417C2×C42—22no—
418C2×C42—22no—
419C2×C42—22no—
420C2×C42—22no—
421C2×C42—22no—
422C2×C42—22no—
423C2×C42—22no—
424C2×C42—22no—
425C2×C42—22no—
426C2×C42—22no—
427C2×C42—22no—
428C2×C42—22no—
429C2×C42—22no—
430C2×C42—22no—
431C2×C42C2×C4×C4314yes—
432C2×C42C2×C4×C4314yes—
433C2×C42D4×C4314yes—
434C2×C42D4×C4314yes—
435#95—24no—
436#95—24no—
437#95—24no—
438#95—24no—
439#95—24no—
440#95—24no—
441#95—24no—
442#95—24no—
443#95—24no—
444#95C2×C4×C4314yes—
445#95C2×C4×C4314yes—
446C24—21no—
447C24—21no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24—21no—
452C24—21no—
453C24—21no—
454C24—21no—
455C24C22×C4×C4312yes—
456C24#41×C4314yes—
457C24C24×C4311yescharacteristic
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—22no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—22no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—28no—
504C22×C4—28no—
505C22×C4—28no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4C22×C4×C4312yes—
511C22×C4C22×C4×C4312yes—
512C22×C4C22×C4×C4312yes—
513C22×C4C22×C4×C4312yes—
514C22×C4C22×C4×C4312yes—
515C22×C4C22×C4×C4312yes—
516C22×C4C2×D4×C4314yes—
517C22×C4C2×D4×C4314yes—
518C22×C4C2×D4×C4312yes—
519C22×C4C2×D4×C4312yes—
520C22×C4#41×C4314yes—
521C22×C4#41×C4314yes—
522C22×C4#41×C4314yes—
523C22×C4#41×C4312yes—
524C22×C4#41×C4312yes—
525C22×C4#41×C4312yes—
526C22×C4#41×C4312yes—
527C4⋊C4—216no—
528C22⋊C4—216no—
529C22⋊C4—216no—
530C22⋊C4—28no—
531C22⋊C4—28no—
532C42—28no—
533C42—28no—
534C42—28no—
535C42—28no—
536C42—44no—
537C42—44no—
538C23—22no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—22no—
543C23—22no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—41no—
551C23—41no—
552C23—42no—
553C23—41no—
554C23—41no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23#117×C4314yes—
561C23C23×C4×C4311yescharacteristic
562C23C22×D4×C4311yescharacteristic
563C23C22×D4×C4311yescharacteristic
564C23C2×#41×C4311yescharacteristic
565C23C2×#41×C4311yescharacteristic
566C23C2×#41×C4312yes—
567C23C2×#41×C4312yes—
568C23C2×#41×C4311yescharacteristic
569C23C2×#41×C4311yescharacteristic
570C23C2×#41×C4312yes—
571C23C2×#41×C4312yes—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—42no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—416no—
627C2×C4#117×C4314yes—
628C2×C4#117×C4314yes—
629C2×C4C4×D4×C4314yes—
630C2×C4C4×D4×C4314yes—
631C2×C4#121×C4314yes—
632C2×C4#123×C4314yes—
633C2×C4#124×C4314yes—
634C2×C4#126×C4314yes—
635C22—24no—
636C22—24no—
637C22—24no—
638C22—44no—
639C22—44no—
640C22—44no—
641C22—44no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22C2×#117×C4311yescharacteristic
647C22C2×#117×C4311yescharacteristic
648C22C2×#117×C4311yescharacteristic
649C22C2×C4×D4×C4311yescharacteristic
650C22C2×C4×D4×C4311yescharacteristic
651C22C4×#41×C4311yescharacteristic
652C22C4×#41×C4311yescharacteristic
653C22C2×#121×C4311yescharacteristic
654C22C2×#123×C4311yescharacteristic
655C22C43×#52512yes—
656C22C43×#52512yes—
657C22C43×#52512yes—
658C22C2×#124×C4311yescharacteristic
659C22C2×#126×C4311yescharacteristic
660C22C43×#52912yes—
661C22C43×#52912yes—
662C22C43×#52912yes—
663C22C43×#52912yes—
664C22C43×#52912yes—
665C22C43×#52912yes—
666C22C43×#52912yes—
667C22C43×#52912yes—
668C22C43×#53212yes—
669C4—24no—
670C4—44no—
671C4—44no—
672C4—44no—
673C4—44no—
674C4—42no—
675C4—42no—
676C4—42no—
677C4—42no—
678C4C43×#38818yes—
679C2—44no—
680C2C43×#228311yescharacteristic
681C2C2×C43×#38811yescharacteristic
682C2C43×#229011yescharacteristic
683C2C43×#229011yescharacteristic
684C2C43×#229011yescharacteristic
685C2C43×#229311yescharacteristic
686C2C43×#229811yescharacteristic
687C2C43×#239212yes—
688C2C43×#239512yes—
689C2C43×#239812yes—
690C2C43×#240112yes—
subgroupG/H
centerC23×C4×C43C23
commutatorC23C23×C4×C43
Frattini, cosocleC24C24×C43
socleC24×C43C24
prime radicalC25×C43C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C4×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C4×C4⋊C4×C43C2semidirect
5. C2×C43×#376C2semidirect
6. C43×#1443C2semidirect
7. C43×#1442C2semidirect
10. C4×#95×C43C2semidirect
11. C4×#95×C43C2semidirect
27. C4×C22⋊C4×C43C4semidirect
289. #13842C43direct (N × H)
334. C2×C4×C4⋊C4C2×C43semidirect
338. C2×#376C2×C43semidirect
339. #1443C2×C43semidirect
340. #1442C2×C43semidirect
343. C4×#95C2×C43semidirect
344. C4×#95C2×C43semidirect
372. C4×C22⋊C4C4×C43semidirect
385. C43#13842direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×C4⋊C4×C432
C2×C4×C22⋊C4×C432
C2×C43×#3762
C43×#14432
C43×#14422
C43×#14402
C43×#14392
C4×#95×C432
#1384243