Finite Group Databasebeta

← C43×#60741 #24980758

Subgroups — C43×#60741 #24980758

Order 11008.

2362 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#525C212yesmaximal, complemented
2C43×#3197C214yesmaximal, complemented
3C43×#3196C214yesmaximal, complemented
4C43×#3195C211yesmaximal, characteristic, complemented
5C43×#3194C214yesmaximal, complemented
6C43×#3193C212yesmaximal, complemented
7C43×#3192C211yesmaximal, characteristic, complemented
8C43×#3091C214yesmaximal, complemented
9C43×#3054C214yesmaximal, complemented
10C43×#3002C214yesmaximal, complemented
11C2×C43×#407C211yesmaximal, characteristic, complemented
12C22×#41×C43C2212yescomplemented
13C24×C4×C43C2211yescharacteristic
14C2×#135×C43C2214yescomplemented
15C22×M16×C43C2212yescomplemented
16C43×#525—22no—
17C43×#525—22no—
18C43×#525—22no—
19C43×#525—22no—
20C43×#525C2214yes—
21C43×#525C2214yes—
22C43×#525C2214yescomplemented
23C43×#525C2214yescomplemented
24C2×#123×C43—22no—
25C2×C22⋊Q8×C43C2212yes—
26C2×C22⋊Q8×C43C2212yescomplemented
27C2×#121×C43C2212yes—
28C2×#121×C43C2212yescomplemented
29C2×#120×C43—22no—
30C2×C4×D4×C43—22no—
31C2×C4×D4×C43—22no—
32C2×#117×C43C2212yescomplemented
33C43×#485C2218yescomplemented
34C43×#484C2214yescomplemented
35C43×#483C2214yescomplemented
36C43×#482C2218yescomplemented
37C43×#481C2214yescomplemented
38C43×#480C2214yescomplemented
39C43×#470C2214yescomplemented
40C43×#470C2214yescomplemented
41C43×#469C2214yescomplemented
42C43×#469C2214yescomplemented
43C43×#468C2218yescomplemented
44C43×#468C2218yescomplemented
45C43×#452C2218yescomplemented
46C43×#451C2214yescomplemented
47C43×#450C2214yescomplemented
48C43×#449C2218yescomplemented
49C43×#448C2214yescomplemented
50C43×#447C2214yescomplemented
51C43×#427C2214yescomplemented
52C43×#416C2218yescomplemented
53C43×#407C2211yescharacteristic
54C43×#407C2211yescharacteristic
55C43×#407C2214yescomplemented
56C43×#407C2212yescomplemented
57C2×C22⋊C8×C43C2214yescomplemented
58C25×C43D411yescharacteristic
59C2×#41×C43—22no—
60C2×#41×C43—22no—
61C2×#41×C43—48no—
62C2×#41×C43C2314yes—
63C2×#41×C43C2314yes—
64C22×Q8×C43C2312yes—
65C22×D4×C43—22no—
66C22×D4×C43—22no—
67C22×D4×C43—22no—
68C22×D4×C43C2312yes—
69C23×C4×C43—22no—
70C23×C4×C43—44no—
71C23×C4×C43D411yescharacteristic
72C23×C4×C43D412yes—
73C23×C4×C43D412yes—
74C23×C4×C43D411yescharacteristic
75C23×C4×C43D411yescharacteristic
76C23×C4×C43C2312yes—
77C23×C4×C43C2311yescharacteristic
78C23×C4×C43C2311yescharacteristic
79C23×C4×C43C2312yes—
80C23×C4×C43C2311yescharacteristic
81#135×C43—48no—
82C2×Q16×C43C2314yescomplemented
83C2×SD16×C43C2318yescomplemented
84C2×D8×C43C2314yescomplemented
85C2×M16×C43—44no—
86C2×M16×C43C2312yes—
87C2×M16×C43C2312yes—
88C2×M16×C43C2314yes—
89C22×C8×C43C2314yes—
90#123×C43—24no—
91#123×C43—24no—
92#123×C43—24no—
93#123×C43—24no—
94C22⋊Q8×C43—22no—
95C22⋊Q8×C43—22no—
96C22⋊Q8×C43—22no—
97C22⋊Q8×C43—22no—
98C22⋊Q8×C43C2314yes—
99C22⋊Q8×C43C2314yes—
100C22⋊Q8×C43C2314yes—
101C22⋊Q8×C43C2314yes—
102#121×C43—22no—
103#121×C43—22no—
104#121×C43—22no—
105#121×C43—22no—
106#121×C43C2314yes—
107#121×C43C2314yes—
108#121×C43C2314yes—
109#121×C43C2314yes—
110#120×C43—24no—
111#120×C43—24no—
112#120×C43—24no—
113#120×C43—24no—
114C4×D4×C43—24no—
115C4×D4×C43—24no—
116C4×D4×C43—24no—
117C4×D4×C43—24no—
118C4×D4×C43—24no—
119C4×D4×C43—24no—
120C4×D4×C43—24no—
121C4×D4×C43—24no—
122#117×C43—22no—
123#117×C43—22no—
124#117×C43C2314yes—
125#117×C43C2314yes—
126C2×C4⋊C4×C43—22no—
127C2×C4⋊C4×C43—22no—
128C2×C4⋊C4×C43C2312yes—
129C2×C4⋊C4×C43C2312yes—
130C2×C22⋊C4×C43—22no—
131C2×C22⋊C4×C43—22no—
132C2×C22⋊C4×C43—22no—
133C2×C22⋊C4×C43—22no—
134C2×C22⋊C4×C43—22no—
135C2×C42×C43—22no—
136#107×C43C2318yescomplemented
137#106×C43C2314yescomplemented
138#106×C43C2314yescomplemented
139#103×C43C2318yescomplemented
140#103×C43C2318yescomplemented
141#102×C43C2318yescomplemented
142#102×C43C2318yescomplemented
143C22⋊C8×C43C2314yes—
144C22⋊C8×C43C2314yes—
145C22⋊C8×C43C2318yes—
146C24×C43—22no—
147C24×C43—42no—
148C24×C43—44no—
149C24×C43C2×D411yescharacteristic
150C24×C43C2×D412yes—
151C24×C43C2×D412yes—
152C24×C43C2×D411yescharacteristic
153C24×C43C2×D411yescharacteristic
154#41×C43—216no—
155#41×C43—48no—
156#41×C43—48no—
157#41×C43—48no—
158C2×Q8×C43—22no—
159C2×Q8×C43—44no—
160C2×Q8×C43C2414yes—
161C2×D4×C43—22no—
162C2×D4×C43—24no—
163C2×D4×C43—24no—
164C2×D4×C43—24no—
165C2×D4×C43—24no—
166C2×D4×C43—24no—
167C2×D4×C43—24no—
168C2×D4×C43—48no—
169C2×D4×C43—48no—
170C2×D4×C43—48no—
171C2×D4×C43—44no—
172C2×D4×C43C2414yes—
173C22×C4×C43—24no—
174C22×C4×C43—28no—
175C22×C4×C43—24no—
176C22×C4×C43—24no—
177C22×C4×C43—22no—
178C22×C4×C43—22no—
179C22×C4×C43—22no—
180C22×C4×C43—44no—
181C22×C4×C43—42no—
182C22×C4×C43—42no—
183C22×C4×C43—44no—
184C22×C4×C43—42no—
185C22×C4×C43—42no—
186C22×C4×C43—44no—
187C22×C4×C43—42no—
188C22×C4×C43—48no—
189C22×C4×C43C2×D412yes—
190C22×C4×C43C2×D411yescharacteristic
191C22×C4×C43C2×D412yes—
192C22×C4×C43C2×D412yes—
193C22×C4×C43C2×D411yescharacteristic
194C22×C4×C43C2×D411yescharacteristic
195C22×C4×C43C2×D412yes—
196C22×C4×C43C2×D412yes—
197C22×C4×C43C2×D411yescharacteristic
198C22×C4×C43C2×D412yes—
199C22×C4×C43C2×D412yes—
200C22×C4×C43C2×D411yescharacteristic
201C22×C4×C43C2×D412yes—
202C22×C4×C43C2412yes—
203C22×C4×C43C2412yes—
204C22×C4×C43C2411yescharacteristic
205C22×C4×C43C2411yescharacteristic
206C22×C4×C43C2411yescharacteristic
207Q16×C43—44no—
208SD16×C43—48no—
209D8×C43—44no—
210M16×C43—42no—
211M16×C43—44no—
212M16×C43—42no—
213C2×C8×C43—28no—
214C2×C8×C43C2414yes—
215C2×C8×C43C2414yes—
216C4⋊C4×C43—24no—
217C4⋊C4×C43—24no—
218C4⋊C4×C43—24no—
219C4⋊C4×C43—24no—
220C4⋊C4×C43—22no—
221C4⋊C4×C43—22no—
222C4⋊C4×C43C2414yes—
223C4⋊C4×C43C2414yes—
224C22⋊C4×C43—24no—
225C22⋊C4×C43—24no—
226C22⋊C4×C43—24no—
227C22⋊C4×C43—24no—
228C22⋊C4×C43—24no—
229C22⋊C4×C43—24no—
230C22⋊C4×C43—24no—
231C22⋊C4×C43—24no—
232C22⋊C4×C43—24no—
233C22⋊C4×C43—24no—
234C42×C43—24no—
235C42×C43—24no—
236C23×C43—24no—
237C23×C43—22no—
238C23×C43—24no—
239C23×C43—24no—
240C23×C43—24no—
241C23×C43—24no—
242C23×C43—41no—
243C23×C43—42no—
244C23×C43—41no—
245C23×C43—42no—
246C23×C43—42no—
247C23×C43—42no—
248C23×C43—42no—
249C23×C43—44no—
250C23×C43—44no—
251C23×C43—416no—
252C23×C43—44no—
253C23×C43C22×D411yescharacteristic
254C23×C43C22×D411yescharacteristic
255C23×C43C22×D412yes—
256C23×C43C22×D411yescharacteristic
257C23×C43C22×D412yes—
258Q8×C43—28no—
259Q8×C43—44no—
260D4×C43—28no—
261D4×C43—44no—
262D4×C43—48no—
263D4×C43—48no—
264D4×C43—48no—
265D4×C43—48no—
266D4×C43—48no—
267D4×C43—48no—
268C2×C4×C43—22no—
269C2×C4×C43—24no—
270C2×C4×C43—24no—
271C2×C4×C43—22no—
272C2×C4×C43—22no—
273C2×C4×C43—24no—
274C2×C4×C43—22no—
275C2×C4×C43—22no—
276C2×C4×C43—24no—
277C2×C4×C43—24no—
278C2×C4×C43—24no—
279C2×C4×C43—24no—
280C2×C4×C43—24no—
281C2×C4×C43—41no—
282C2×C4×C43—42no—
283C2×C4×C43—42no—
284C2×C4×C43—42no—
285C2×C4×C43—42no—
286C2×C4×C43—42no—
287C2×C4×C43—41no—
288C2×C4×C43—48no—
289C2×C4×C43—44no—
290C2×C4×C43—44no—
291C2×C4×C43—44no—
292C2×C4×C43—48no—
293C2×C4×C43C22×D412yes—
294C2×C4×C43C22×D411yescharacteristic
295C2×C4×C43C22×D411yescharacteristic
296C2×C4×C43C22×D412yes—
297C2×C4×C43C22×D411yescharacteristic
298C2×C4×C43H(5,𝔽2)14yes—
299C2×C4×C43C2511yescharacteristic
300C8×C43—24no—
301C8×C43—24no—
302#60741C4311yesmaximal, characteristic, direct product factor, Sylow
303C22×C43—22no—
304C22×C43—22no—
305C22×C43—22no—
306C22×C43—21no—
307C22×C43—21no—
308C22×C43—22no—
309C22×C43—22no—
310C22×C43—22no—
311C22×C43—22no—
312C22×C43—22no—
313C22×C43—44no—
314C22×C43—48no—
315C22×C43—48no—
316C22×C43—44no—
317C22×C43—44no—
318C22×C43—44no—
319C22×C43—44no—
320C22×C43—44no—
321C22×C43—88no—
322C22×C43#53412yes—
323C22×C43#57514yes—
324C22×C43C23×D411yescharacteristic
325C4×C43—22no—
326C4×C43—21no—
327C4×C43—21no—
328C4×C43—22no—
329C4×C43—44no—
330C4×C43—44no—
331C4×C43—44no—
332C4×C43#53412yes—
333C4×C43C2×H(5,𝔽2)12yes—
334C2×#525C2×C4312yescomplemented
335#3197C2×C4314yescomplemented
336#3196C2×C4314yescomplemented
337#3195C2×C4311yescharacteristic, complemented
338#3194C2×C4314yescomplemented
339#3193C2×C4312yescomplemented
340#3192C2×C4311yescharacteristic, complemented
341#3091C2×C4314yescomplemented
342#3054C2×C4314yescomplemented
343#3002C2×C4314yescomplemented
344C2×#407C2×C4311yescharacteristic, complemented
345C2×C43—24no—
346C2×C43—22no—
347C2×C43—41no—
348C2×C43—41no—
349C2×C43—42no—
350C2×C43—84no—
351C2×C43C2×#53411yescharacteristic
352C2×C43C2×#57512yes—
353C22×#41C22×C4312yescomplemented
354C24×C4C22×C4311yescharacteristic
355C2×#135C22×C4314yescomplemented
356C22×M16C22×C4312yescomplemented
357#525—22no—
358#525—22no—
359#525—22no—
360#525—22no—
361#525C22×C4314yes—
362#525C22×C4314yes—
363#525C22×C4314yescomplemented
364#525C22×C4314yescomplemented
365C2×#123—22no—
366C2×C22⋊Q8C22×C4312yes—
367C2×C22⋊Q8C22×C4312yescomplemented
368C2×#121C22×C4312yes—
369C2×#121C22×C4312yescomplemented
370C2×#120—22no—
371C2×C4×D4—22no—
372C2×C4×D4—22no—
373C2×#117C22×C4312yescomplemented
374#485C22×C4318yescomplemented
375#484C22×C4314yescomplemented
376#483C22×C4314yescomplemented
377#482C22×C4318yescomplemented
378#481C22×C4314yescomplemented
379#480C22×C4314yescomplemented
380#470C22×C4314yescomplemented
381#470C22×C4314yescomplemented
382#469C22×C4314yescomplemented
383#469C22×C4314yescomplemented
384#468C22×C4318yescomplemented
385#468C22×C4318yescomplemented
386#452C22×C4318yescomplemented
387#451C22×C4314yescomplemented
388#450C22×C4314yescomplemented
389#449C22×C4318yescomplemented
390#448C22×C4314yescomplemented
391#447C22×C4314yescomplemented
392#427C22×C4314yescomplemented
393#416C22×C4318yescomplemented
394#407C22×C4311yescharacteristic
395#407C22×C4311yescharacteristic
396#407C22×C4314yescomplemented
397#407C22×C4312yescomplemented
398C2×C22⋊C8C22×C4314yescomplemented
399C43#6074111yescharacteristic, direct product factor, Sylow
400C25D4×C4311yescharacteristic
401C2×#41—22no—
402C2×#41—22no—
403C2×#41—48no—
404C2×#41C23×C4314yes—
405C2×#41C23×C4314yes—
406C22×Q8C23×C4312yes—
407C22×D4—22no—
408C22×D4—22no—
409C22×D4—22no—
410C22×D4C23×C4312yes—
411C23×C4—22no—
412C23×C4—44no—
413C23×C4D4×C4311yescharacteristic
414C23×C4D4×C4312yes—
415C23×C4D4×C4312yes—
416C23×C4D4×C4311yescharacteristic
417C23×C4D4×C4311yescharacteristic
418C23×C4C23×C4312yes—
419C23×C4C23×C4311yescharacteristic
420C23×C4C23×C4311yescharacteristic
421C23×C4C23×C4312yes—
422C23×C4C23×C4311yescharacteristic
423#135—48no—
424C2×Q16C23×C4314yescomplemented
425C2×SD16C23×C4318yescomplemented
426C2×D8C23×C4314yescomplemented
427C2×M16—44no—
428C2×M16C23×C4312yes—
429C2×M16C23×C4312yes—
430C2×M16C23×C4314yes—
431C22×C8C23×C4314yes—
432#123—24no—
433#123—24no—
434#123—24no—
435#123—24no—
436C22⋊Q8—22no—
437C22⋊Q8—22no—
438C22⋊Q8—22no—
439C22⋊Q8—22no—
440C22⋊Q8C23×C4314yes—
441C22⋊Q8C23×C4314yes—
442C22⋊Q8C23×C4314yes—
443C22⋊Q8C23×C4314yes—
444#121—22no—
445#121—22no—
446#121—22no—
447#121—22no—
448#121C23×C4314yes—
449#121C23×C4314yes—
450#121C23×C4314yes—
451#121C23×C4314yes—
452#120—24no—
453#120—24no—
454#120—24no—
455#120—24no—
456C4×D4—24no—
457C4×D4—24no—
458C4×D4—24no—
459C4×D4—24no—
460C4×D4—24no—
461C4×D4—24no—
462C4×D4—24no—
463C4×D4—24no—
464#117—22no—
465#117—22no—
466#117C23×C4314yes—
467#117C23×C4314yes—
468C2×C4⋊C4—22no—
469C2×C4⋊C4—22no—
470C2×C4⋊C4C23×C4312yes—
471C2×C4⋊C4C23×C4312yes—
472C2×C22⋊C4—22no—
473C2×C22⋊C4—22no—
474C2×C22⋊C4—22no—
475C2×C22⋊C4—22no—
476C2×C22⋊C4—22no—
477C2×C42—22no—
478#107C23×C4318yescomplemented
479#106C23×C4314yescomplemented
480#106C23×C4314yescomplemented
481#103C23×C4318yescomplemented
482#103C23×C4318yescomplemented
483#102C23×C4318yescomplemented
484#102C23×C4318yescomplemented
485C22⋊C8C23×C4314yes—
486C22⋊C8C23×C4314yes—
487C22⋊C8C23×C4318yes—
488C24—22no—
489C24—42no—
490C24—44no—
491C24C2×D4×C4311yescharacteristic
492C24C2×D4×C4312yes—
493C24C2×D4×C4312yes—
494C24C2×D4×C4311yescharacteristic
495C24C2×D4×C4311yescharacteristic
496#41—216no—
497#41—48no—
498#41—48no—
499#41—48no—
500C2×Q8—22no—
501C2×Q8—44no—
502C2×Q8C24×C4314yes—
503C2×D4—24no—
504C2×D4—24no—
505C2×D4—24no—
506C2×D4—24no—
507C2×D4—24no—
508C2×D4—24no—
509C2×D4—22no—
510C2×D4—44no—
511C2×D4—48no—
512C2×D4—48no—
513C2×D4—48no—
514C2×D4C24×C4314yes—
515C22×C4—24no—
516C22×C4—28no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—24no—
521C22×C4—24no—
522C22×C4—42no—
523C22×C4—44no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—44no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—44no—
530C22×C4—48no—
531C22×C4C2×D4×C4312yes—
532C22×C4C2×D4×C4312yes—
533C22×C4C2×D4×C4312yes—
534C22×C4C2×D4×C4311yescharacteristic
535C22×C4C2×D4×C4311yescharacteristic
536C22×C4C2×D4×C4311yescharacteristic
537C22×C4C2×D4×C4312yes—
538C22×C4C2×D4×C4312yes—
539C22×C4C2×D4×C4311yescharacteristic
540C22×C4C2×D4×C4312yes—
541C22×C4C2×D4×C4312yes—
542C22×C4C2×D4×C4311yescharacteristic
543C22×C4C2×D4×C4312yes—
544C22×C4C24×C4312yes—
545C22×C4C24×C4312yes—
546C22×C4C24×C4311yescharacteristic
547C22×C4C24×C4311yescharacteristic
548C22×C4C24×C4311yescharacteristic
549Q16—44no—
550SD16—48no—
551D8—44no—
552M16—42no—
553M16—44no—
554M16—42no—
555C2×C8—28no—
556C2×C8C24×C4314yes—
557C2×C8C24×C4314yes—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4C24×C4314yes—
565C4⋊C4C24×C4314yes—
566C22⋊C4—24no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—24no—
570C22⋊C4—24no—
571C22⋊C4—24no—
572C22⋊C4—24no—
573C22⋊C4—24no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C42—24no—
577C42—24no—
578C23—24no—
579C23—22no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—41no—
585C23—42no—
586C23—41no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—44no—
592C23—44no—
593C23—416no—
594C23—44no—
595C23C22×D4×C4312yes—
596C23C22×D4×C4311yescharacteristic
597C23C22×D4×C4311yescharacteristic
598C23C22×D4×C4311yescharacteristic
599C23C22×D4×C4312yes—
600Q8—28no—
601Q8—44no—
602D4—28no—
603D4—44no—
604D4—48no—
605D4—48no—
606D4—48no—
607D4—48no—
608D4—48no—
609D4—48no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—41no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—41no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—48no—
631C2×C4—44no—
632C2×C4—44no—
633C2×C4—44no—
634C2×C4—48no—
635C2×C4C22×D4×C4312yes—
636C2×C4C22×D4×C4311yescharacteristic
637C2×C4C22×D4×C4311yescharacteristic
638C2×C4C22×D4×C4312yes—
639C2×C4C22×D4×C4311yescharacteristic
640C2×C4H(5,𝔽2)×C4314yes—
641C2×C4C25×C4311yescharacteristic
642C8—24no—
643C8—24no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—21no—
649C22—21no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—44no—
655C22—48no—
656C22—48no—
657C22—44no—
658C22—44no—
659C22—44no—
660C22—44no—
661C22—44no—
662C22—88no—
663C22C43×#53412yes—
664C22C43×#57514yes—
665C22C23×D4×C4311yescharacteristic
666C4—22no—
667C4—22no—
668C4—21no—
669C4—21no—
670C4—44no—
671C4—44no—
672C4—44no—
673C4C43×#53412yes—
674C4C2×H(5,𝔽2)×C4312yes—
675C2—24no—
676C2—22no—
677C2—42no—
678C2—41no—
679C2—41no—
680C2—84no—
681C2C2×C43×#53411yescharacteristic
682C2C2×C43×#57512yes—
subgroupG/H
centerC2×C4×C43C22×D4
commutator, Frattini, cosocleC2×C4C25×C43
socleC22×C43C23×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C43 ◁ C24×C4×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C43×#525C2semidirect
2. C43×#3197C2semidirect
3. C43×#3196C2semidirect
4. C43×#3195C2semidirect
5. C43×#3194C2semidirect
6. C43×#3193C2semidirect
7. C43×#3192C2semidirect
8. C43×#3091C2semidirect
9. C43×#3054C2semidirect
10. C43×#3002C2semidirect
11. C2×C43×#407C2semidirect
12. C22×#41×C43C22semidirect
14. C2×#135×C43C22semidirect
15. C22×M16×C43C22semidirect
22. C43×#525C22semidirect
23. C43×#525C22semidirect
26. C2×C22⋊Q8×C43C22semidirect
28. C2×#121×C43C22semidirect
32. C2×#117×C43C22semidirect
33. C43×#485C22semidirect
34. C43×#484C22semidirect
35. C43×#483C22semidirect
36. C43×#482C22semidirect
37. C43×#481C22semidirect
38. C43×#480C22semidirect
39. C43×#470C22semidirect
40. C43×#470C22semidirect
41. C43×#469C22semidirect
42. C43×#469C22semidirect
43. C43×#468C22semidirect
44. C43×#468C22semidirect
45. C43×#452C22semidirect
46. C43×#451C22semidirect
47. C43×#450C22semidirect
48. C43×#449C22semidirect
49. C43×#448C22semidirect
50. C43×#447C22semidirect
51. C43×#427C22semidirect
52. C43×#416C22semidirect
55. C43×#407C22semidirect
56. C43×#407C22semidirect
57. C2×C22⋊C8×C43C22semidirect
82. C2×Q16×C43C23semidirect
83. C2×SD16×C43C23semidirect
84. C2×D8×C43C23semidirect
136. #107×C43C23semidirect
137. #106×C43C23semidirect
138. #106×C43C23semidirect
139. #103×C43C23semidirect
140. #103×C43C23semidirect
141. #102×C43C23semidirect
142. #102×C43C23semidirect
302. #60741C43direct (N × H)
334. C2×#525C2×C43semidirect
335. #3197C2×C43semidirect
336. #3196C2×C43semidirect
337. #3195C2×C43semidirect
338. #3194C2×C43semidirect
339. #3193C2×C43semidirect
340. #3192C2×C43semidirect
341. #3091C2×C43semidirect
342. #3054C2×C43semidirect
343. #3002C2×C43semidirect
344. C2×#407C2×C43semidirect
353. C22×#41C22×C43semidirect
355. C2×#135C22×C43semidirect
356. C22×M16C22×C43semidirect
363. #525C22×C43semidirect
364. #525C22×C43semidirect
367. C2×C22⋊Q8C22×C43semidirect
369. C2×#121C22×C43semidirect
373. C2×#117C22×C43semidirect
374. #485C22×C43semidirect
375. #484C22×C43semidirect
376. #483C22×C43semidirect
377. #482C22×C43semidirect
378. #481C22×C43semidirect
379. #480C22×C43semidirect
380. #470C22×C43semidirect
381. #470C22×C43semidirect
382. #469C22×C43semidirect
383. #469C22×C43semidirect
384. #468C22×C43semidirect
385. #468C22×C43semidirect
386. #452C22×C43semidirect
387. #451C22×C43semidirect
388. #450C22×C43semidirect
389. #449C22×C43semidirect
390. #448C22×C43semidirect
391. #447C22×C43semidirect
392. #427C22×C43semidirect
393. #416C22×C43semidirect
396. #407C22×C43semidirect
397. #407C22×C43semidirect
398. C2×C22⋊C8C22×C43semidirect
399. C43#60741direct (N × H)
424. C2×Q16C23×C43semidirect
425. C2×SD16C23×C43semidirect
426. C2×D8C23×C43semidirect
478. #107C23×C43semidirect
479. #106C23×C43semidirect
480. #106C23×C43semidirect
481. #103C23×C43semidirect
482. #103C23×C43semidirect
483. #102C23×C43semidirect
484. #102C23×C43semidirect

Maximal subgroups

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

subgroupindex
C2×C43×#5252
C43×#31972
C43×#31962
C43×#31952
C43×#31942
C43×#31932
C43×#31922
C43×#30912
C43×#30542
C43×#30022
C2×C43×#4072
#6074143