Finite Group Databasebeta

← C43×#8467 #24928484

Subgroups — C43×#8467 #24928484

Order 11008.

1004 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3489C211yesmaximal, characteristic
2C43×#1996C211yesmaximal, characteristic, complemented
3C43×#1789C211yesmaximal, characteristic, complemented
4C43×#1788C211yesmaximal, characteristic, complemented
5C43×#1513C211yesmaximal, characteristic, complemented
6C43×#1501C211yesmaximal, characteristic, complemented
7C43×#1472C211yesmaximal, characteristic, complemented
8C2×2−1+4×C43C411yescharacteristic, complemented
9C22×#41×C43C2211yescharacteristic
10D4×Q8×C43—21no—
11C43×#548—21no—
12C43×#547—21no—
13C43×#547—22no—
14C43×#546—21no—
15C43×#546—22no—
16C43×#537—21no—
17C43×#537C411yescharacteristic, complemented
18C43×#536—21no—
19C43×#536C411yescharacteristic, complemented
20C43×#525—21no—
21C43×#525C2211yescharacteristic
22C2×C22⋊Q8×C43—21no—
23C2×C22⋊Q8×C43C2211yescharacteristic
24C43×#520C411yescharacteristic, complemented
25C2×#104×C43—21no—
26C2×#104×C43—21no—
27C2×#103×C43—21no—
28C2×#102×C43—21no—
29C43×#407C2211yescharacteristic
30C2×C22⋊C8×C43C2211yescharacteristic
31C43×#380C2211yescharacteristic
32C4×C22⋊C4×C43C2211yescharacteristic
33C43×#342—22no—
34C43×#328—21no—
35C43×#328—21no—
36C43×#327—21no—
37C43×#327—21no—
38C43×#324—22no—
392−1+4×C43—42no—
402−1+4×C43—42no—
41C2×#41×C43—21no—
42C2×#41×C43—21no—
43C2×#41×C43—22no—
44C2×#41×C43—21no—
45C2×#41×C43—21no—
46C2×#41×C43—42no—
47C2×#41×C43—42no—
48C2×#41×C43C2×C411yescharacteristic
49C2×#41×C43C2×C411yescharacteristic
50C2×#41×C43C2×C411yescharacteristic
51C2×#41×C43D411yescharacteristic
52C2×#41×C43D411yescharacteristic
53C22×Q8×C43—21no—
54C22×Q8×C43—21no—
55C22×Q8×C43C2×C411yescharacteristic
56C22×Q8×C43D411yescharacteristic
57C22×D4×C43—21no—
58C22×D4×C43D411yescharacteristic
59C23×C4×C43—21no—
60C23×C4×C43C2311yescharacteristic
61C2×M16×C43—21no—
62C22×C8×C43—21no—
63C4⋊Q8×C43—22no—
64C4⋊Q8×C43—21no—
65#124×C43—22no—
66#124×C43—21no—
67#123×C43—22no—
68#123×C43—22no—
69#123×C43—22no—
70#123×C43—22no—
71#123×C43—21no—
72C22⋊Q8×C43—22no—
73C22⋊Q8×C43—22no—
74C22⋊Q8×C43—22no—
75C22⋊Q8×C43—21no—
76C22⋊Q8×C43—21no—
77C22⋊Q8×C43—21no—
78C22⋊Q8×C43—21no—
79C22⋊Q8×C43—21no—
80C22⋊Q8×C43—21no—
81C22⋊Q8×C43—21no—
82C22⋊Q8×C43—21no—
83C22⋊Q8×C43D411yescharacteristic
84C22⋊Q8×C43D411yescharacteristic
85#121×C43—22no—
86#121×C43—22no—
87#121×C43—22no—
88#121×C43—21no—
89#121×C43—21no—
90#121×C43—22no—
91#121×C43D411yescharacteristic
92#121×C43D411yescharacteristic
93#120×C43—22no—
94#120×C43—21no—
95C4×Q8×C43—21no—
96C4×D4×C43—22no—
97C4×D4×C43—22no—
98C4×D4×C43—21no—
99C4×D4×C43—22no—
100C4×D4×C43—21no—
101C4×D4×C43—21no—
102#117×C43—21no—
103#117×C43C2×C411yescharacteristic
104C2×C4⋊C4×C43—22no—
105C2×C4⋊C4×C43—21no—
106C2×C4⋊C4×C43—21no—
107C2×C4⋊C4×C43C2×C411yescharacteristic
108C2×C4⋊C4×C43D412yes—
109C2×C22⋊C4×C43—22no—
110C2×C22⋊C4×C43—21no—
111C2×C22⋊C4×C43—21no—
112C2×C22⋊C4×C43D412yes—
113C2×C42×C43—21no—
114#104×C43—42no—
115#104×C43—42no—
116#103×C43—42no—
117#102×C43—42no—
118C22⋊C8×C43—21no—
119C22⋊C8×C43—21no—
120C22⋊C8×C43—21no—
121C22⋊C8×C43—21no—
122#95×C43—21no—
123#95×C43—21no—
124C24×C43—21no—
125C24×C43C2×D411yescharacteristic
126#41×C43—22no—
127#41×C43—22no—
128#41×C43—22no—
129#41×C43—22no—
130#41×C43—41no—
131#41×C43—41no—
132#41×C43—41no—
133#41×C43—41no—
134#41×C43—44no—
135#41×C43—44no—
136#41×C43—41no—
137#41×C43—41no—
138#41×C43—44no—
139#41×C43—48no—
140#41×C43—42no—
141#41×C43—42no—
142C2×Q8×C43—22no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—22no—
147C2×Q8×C43—41no—
148C2×Q8×C43—41no—
149C2×Q8×C43—41no—
150C2×Q8×C43—44no—
151C2×Q8×C43—42no—
152C2×Q8×C43—42no—
153C2×Q8×C43C22⋊C411yescharacteristic
154C2×Q8×C43C22⋊C411yescharacteristic
155C2×Q8×C43C22⋊C411yescharacteristic
156C2×D4×C43—22no—
157C2×D4×C43—22no—
158C2×D4×C43—21no—
159C2×D4×C43—21no—
160C2×D4×C43—21no—
161C2×D4×C43—21no—
162C2×D4×C43—21no—
163C2×D4×C43—21no—
164C2×D4×C43—21no—
165C2×D4×C43—21no—
166C2×D4×C43—22no—
167C2×D4×C43—41no—
168C2×D4×C43—44no—
169C2×D4×C43C22⋊C411yescharacteristic
170C2×D4×C43C22⋊C411yescharacteristic
171C2×D4×C43C22⋊C411yescharacteristic
172C22×C4×C43—21no—
173C22×C4×C43—22no—
174C22×C4×C43—22no—
175C22×C4×C43—22no—
176C22×C4×C43—21no—
177C22×C4×C43—21no—
178C22×C4×C43—21no—
179C22×C4×C43—21no—
180C22×C4×C43—21no—
181C22×C4×C43—41no—
182C22×C4×C43—41no—
183C22×C4×C43—44no—
184C22×C4×C43—41no—
185C22×C4×C43—41no—
186C22×C4×C43C22⋊C412yes—
187C22×C4×C43C22⋊C412yes—
188C22×C4×C43C22×C411yescharacteristic
189C22×C4×C43C2×D411yescharacteristic
190C22×C4×C43C2×D411yescharacteristic
191C22×C4×C43C2×D411yescharacteristic
192C22×C4×C43C2×D411yescharacteristic
193C22×C4×C43C2×D411yescharacteristic
194M16×C43—41no—
195M16×C43—41no—
196C2×C8×C43—41no—
197C2×C8×C43—41no—
198C2×C8×C43—41no—
199C2×C8×C43—41no—
200C4⋊C4×C43—22no—
201C4⋊C4×C43—22no—
202C4⋊C4×C43—22no—
203C4⋊C4×C43—22no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43—21no—
207C4⋊C4×C43—22no—
208C4⋊C4×C43—22no—
209C4⋊C4×C43—21no—
210C4⋊C4×C43—41no—
211C4⋊C4×C43—41no—
212C4⋊C4×C43C22⋊C411yescharacteristic
213C4⋊C4×C43C22⋊C411yescharacteristic
214C22⋊C4×C43—22no—
215C22⋊C4×C43—22no—
216C22⋊C4×C43—22no—
217C22⋊C4×C43—22no—
218C22⋊C4×C43—22no—
219C22⋊C4×C43—21no—
220C22⋊C4×C43—21no—
221C22⋊C4×C43—22no—
222C22⋊C4×C43—21no—
223C22⋊C4×C43—21no—
224C22⋊C4×C43—22no—
225C22⋊C4×C43—22no—
226C22⋊C4×C43—21no—
227C22⋊C4×C43—41no—
228C22⋊C4×C43—42no—
229C42×C43—22no—
230C42×C43—21no—
231C42×C43—41no—
232C42×C43—41no—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—42no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—81no—
244C23×C43C2×C22⋊C411yescharacteristic
245C23×C43#12011yescharacteristic
246C23×C43#12011yescharacteristic
247Q8×C43—21no—
248Q8×C43—21no—
249Q8×C43—21no—
250Q8×C43—42no—
251Q8×C43—41no—
252Q8×C43—42no—
253Q8×C43—44no—
254Q8×C43—41no—
255Q8×C43—41no—
256Q8×C43#9912yes—
257D4×C43—24no—
258D4×C43—21no—
259D4×C43—21no—
260D4×C43—21no—
261D4×C43—42no—
262D4×C43—42no—
263D4×C43—41no—
264D4×C43—42no—
265D4×C43—42no—
266D4×C43—42no—
267D4×C43—44no—
268D4×C43—41no—
269D4×C43—41no—
270D4×C43—81no—
271D4×C43—82no—
272D4×C43#9912yes—
273C2×C4×C43—24no—
274C2×C4×C43—21no—
275C2×C4×C43—21no—
276C2×C4×C43—21no—
277C2×C4×C43—21no—
278C2×C4×C43—21no—
279C2×C4×C43—21no—
280C2×C4×C43—21no—
281C2×C4×C43—21no—
282C2×C4×C43—22no—
283C2×C4×C43—21no—
284C2×C4×C43—21no—
285C2×C4×C43—22no—
286C2×C4×C43—21no—
287C2×C4×C43—41no—
288C2×C4×C43—41no—
289C2×C4×C43—41no—
290C2×C4×C43—42no—
291C2×C4×C43—42no—
292C2×C4×C43—42no—
293C2×C4×C43—42no—
294C2×C4×C43—44no—
295C2×C4×C43—44no—
296C2×C4×C43—41no—
297C2×C4×C43—41no—
298C2×C4×C43—42no—
299C2×C4×C43—42no—
300C2×C4×C43—42no—
301C2×C4×C43—82no—
302C2×C4×C43—81no—
303C2×C4×C43—81no—
304C2×C4×C43—81no—
305C2×C4×C43—81no—
306C2×C4×C43—81no—
307C2×C4×C43C2×C22⋊C411yescharacteristic
308C2×C4×C43C2×C22⋊C411yescharacteristic
309C2×C4×C43#12011yescharacteristic
310C2×C4×C43#12011yescharacteristic
311C8×C43—81no—
312C8×C43—81no—
313#8467C4311yesmaximal, characteristic, direct product factor, Sylow
314C22×C43—21no—
315C22×C43—21no—
316C22×C43—21no—
317C22×C43—21no—
318C22×C43—21no—
319C22×C43—21no—
320C22×C43—22no—
321C22×C43—21no—
322C22×C43—21no—
323C22×C43—41no—
324C22×C43—41no—
325C22×C43—41no—
326C22×C43—41no—
327C22×C43—41no—
328C22×C43—41no—
329C22×C43—41no—
330C22×C43—41no—
331C22×C43—81no—
332C22×C43—81no—
333C22×C43—82no—
334C22×C43—82no—
335C22×C43#37911yescharacteristic
336C22×C43#45411yescharacteristic
337C22×C43#45611yescharacteristic
338C4×C43—21no—
339C4×C43—21no—
340C4×C43—21no—
341C4×C43—22no—
342C4×C43—41no—
343C4×C43—42no—
344C4×C43—41no—
345C4×C43—41no—
346C4×C43—41no—
347C4×C43—42no—
348C4×C43—82no—
349C4×C43—161no—
350C4×C43C2×#9911yescharacteristic
351C4×C43C2×#9911yescharacteristic
352#3489C2×C4311yescharacteristic
353#1996C2×C4311yescharacteristic, complemented
354#1789C2×C4311yescharacteristic, complemented
355#1788C2×C4311yescharacteristic, complemented
356#1513C2×C4311yescharacteristic, complemented
357#1501C2×C4311yescharacteristic, complemented
358#1472C2×C4311yescharacteristic, complemented
359C2×C43—21no—
360C2×C43—21no—
361C2×C43—41no—
362C2×C43—41no—
363C2×C43—42no—
364C2×C43—81no—
365C2×C43—81no—
366C2×C43#178111yescharacteristic
367C2×C43#179311yescharacteristic
368C2×C43#179411yescharacteristic
369C2×2−1+4C4×C4311yescharacteristic, complemented
370C22×#41C22×C4311yescharacteristic
371D4×Q8—21no—
372#548—21no—
373#547—21no—
374#547—22no—
375#546—21no—
376#546—22no—
377#537—21no—
378#537C4×C4311yescharacteristic, complemented
379#536—21no—
380#536C4×C4311yescharacteristic, complemented
381#525—21no—
382#525C22×C4311yescharacteristic
383C2×C22⋊Q8—21no—
384C2×C22⋊Q8C22×C4311yescharacteristic
385#520C4×C4311yescharacteristic, complemented
386C2×#104—21no—
387C2×#104—21no—
388C2×#103—21no—
389C2×#102—21no—
390#407C22×C4311yescharacteristic
391C2×C22⋊C8C22×C4311yescharacteristic
392#380C22×C4311yescharacteristic
393C4×C22⋊C4C22×C4311yescharacteristic
394#342—22no—
395#328—21no—
396#328—21no—
397#327—21no—
398#327—21no—
399#324—22no—
400C43#846711yescharacteristic, direct product factor, Sylow
4012−1+4—42no—
4022−1+4—42no—
403C2×#41—21no—
404C2×#41—21no—
405C2×#41—22no—
406C2×#41—21no—
407C2×#41—21no—
408C2×#41—42no—
409C2×#41—42no—
410C2×#41C2×C4×C4311yescharacteristic
411C2×#41C2×C4×C4311yescharacteristic
412C2×#41C2×C4×C4311yescharacteristic
413C2×#41D4×C4311yescharacteristic
414C2×#41D4×C4311yescharacteristic
415C22×Q8—21no—
416C22×Q8—21no—
417C22×Q8C2×C4×C4311yescharacteristic
418C22×Q8D4×C4311yescharacteristic
419C22×D4—21no—
420C22×D4D4×C4311yescharacteristic
421C23×C4—21no—
422C23×C4C23×C4311yescharacteristic
423C2×M16—21no—
424C22×C8—21no—
425C4⋊Q8—22no—
426C4⋊Q8—21no—
427#124—22no—
428#124—21no—
429#123—22no—
430#123—22no—
431#123—22no—
432#123—22no—
433#123—21no—
434C22⋊Q8—22no—
435C22⋊Q8—22no—
436C22⋊Q8—22no—
437C22⋊Q8—21no—
438C22⋊Q8—21no—
439C22⋊Q8—21no—
440C22⋊Q8—21no—
441C22⋊Q8—21no—
442C22⋊Q8—21no—
443C22⋊Q8—21no—
444C22⋊Q8—21no—
445C22⋊Q8D4×C4311yescharacteristic
446C22⋊Q8D4×C4311yescharacteristic
447#121—22no—
448#121—22no—
449#121—22no—
450#121—21no—
451#121—21no—
452#121—22no—
453#121D4×C4311yescharacteristic
454#121D4×C4311yescharacteristic
455#120—22no—
456#120—21no—
457C4×Q8—21no—
458C4×D4—22no—
459C4×D4—22no—
460C4×D4—21no—
461C4×D4—22no—
462C4×D4—21no—
463C4×D4—21no—
464#117—21no—
465#117C2×C4×C4311yescharacteristic
466C2×C4⋊C4—22no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4C2×C4×C4311yescharacteristic
470C2×C4⋊C4D4×C4312yes—
471C2×C22⋊C4—22no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4D4×C4312yes—
475C2×C42—21no—
476#104—42no—
477#104—42no—
478#103—42no—
479#102—42no—
480C22⋊C8—21no—
481C22⋊C8—21no—
482C22⋊C8—21no—
483C22⋊C8—21no—
484#95—21no—
485#95—21no—
486C24—21no—
487C24C2×D4×C4311yescharacteristic
488#41—22no—
489#41—22no—
490#41—22no—
491#41—22no—
492#41—41no—
493#41—41no—
494#41—41no—
495#41—41no—
496#41—44no—
497#41—44no—
498#41—41no—
499#41—41no—
500#41—44no—
501#41—48no—
502#41—42no—
503#41—42no—
504C2×Q8—22no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—22no—
509C2×Q8—41no—
510C2×Q8—41no—
511C2×Q8—41no—
512C2×Q8—44no—
513C2×Q8—42no—
514C2×Q8—42no—
515C2×Q8C22⋊C4×C4311yescharacteristic
516C2×Q8C22⋊C4×C4311yescharacteristic
517C2×Q8C22⋊C4×C4311yescharacteristic
518C2×D4—21no—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—22no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—41no—
530C2×D4—44no—
531C2×D4C22⋊C4×C4311yescharacteristic
532C2×D4C22⋊C4×C4311yescharacteristic
533C2×D4C22⋊C4×C4311yescharacteristic
534C22×C4—21no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—21no—
538C22×C4—22no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—41no—
544C22×C4—41no—
545C22×C4—44no—
546C22×C4—41no—
547C22×C4—41no—
548C22×C4C22⋊C4×C4312yes—
549C22×C4C22⋊C4×C4312yes—
550C22×C4C22×C4×C4311yescharacteristic
551C22×C4C2×D4×C4311yescharacteristic
552C22×C4C2×D4×C4311yescharacteristic
553C22×C4C2×D4×C4311yescharacteristic
554C22×C4C2×D4×C4311yescharacteristic
555C22×C4C2×D4×C4311yescharacteristic
556M16—41no—
557M16—41no—
558C2×C8—41no—
559C2×C8—41no—
560C2×C8—41no—
561C2×C8—41no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—21no—
572C4⋊C4—41no—
573C4⋊C4—41no—
574C4⋊C4C22⋊C4×C4311yescharacteristic
575C4⋊C4C22⋊C4×C4311yescharacteristic
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—21no—
586C22⋊C4—21no—
587C22⋊C4—21no—
588C22⋊C4—22no—
589C22⋊C4—41no—
590C22⋊C4—42no—
591C42—22no—
592C42—21no—
593C42—41no—
594C42—41no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—41no—
601C23—41no—
602C23—42no—
603C23—41no—
604C23—41no—
605C23—81no—
606C23C2×C22⋊C4×C4311yescharacteristic
607C23#120×C4311yescharacteristic
608C23#120×C4311yescharacteristic
609Q8—21no—
610Q8—21no—
611Q8—21no—
612Q8—42no—
613Q8—41no—
614Q8—42no—
615Q8—44no—
616Q8—41no—
617Q8—41no—
618Q8#99×C4312yes—
619D4—24no—
620D4—21no—
621D4—21no—
622D4—21no—
623D4—42no—
624D4—42no—
625D4—41no—
626D4—42no—
627D4—42no—
628D4—42no—
629D4—44no—
630D4—41no—
631D4—41no—
632D4—81no—
633D4—82no—
634D4#99×C4312yes—
635C2×C4—24no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—82no—
664C2×C4—81no—
665C2×C4—81no—
666C2×C4—81no—
667C2×C4—81no—
668C2×C4—81no—
669C2×C4C2×C22⋊C4×C4311yescharacteristic
670C2×C4C2×C22⋊C4×C4311yescharacteristic
671C2×C4#120×C4311yescharacteristic
672C2×C4#120×C4311yescharacteristic
673C8—81no—
674C8—81no—
675C22—21no—
676C22—21no—
677C22—21no—
678C22—22no—
679C22—21no—
680C22—21no—
681C22—21no—
682C22—21no—
683C22—21no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—81no—
693C22—81no—
694C22—82no—
695C22—82no—
696C22C43×#37911yescharacteristic
697C22C43×#45411yescharacteristic
698C22C43×#45611yescharacteristic
699C4—21no—
700C4—21no—
701C4—21no—
702C4—22no—
703C4—41no—
704C4—41no—
705C4—42no—
706C4—41no—
707C4—42no—
708C4—41no—
709C4—82no—
710C4—161no—
711C4C2×#99×C4311yescharacteristic
712C4C2×#99×C4311yescharacteristic
713C2—21no—
714C2—21no—
715C2—41no—
716C2—41no—
717C2—42no—
718C2—81no—
719C2—81no—
720C2C43×#178111yescharacteristic
721C2C43×#179311yescharacteristic
722C2C43×#179411yescharacteristic
subgroupG/H
center, socleC22×C43#379
commutatorC22×C4C22×C4×C43
Frattini, cosocleC23×C4C23×C43
prime radicalC43×#3489C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C43 ◁ C23×C4×C43 ◁ G

Complements

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

NH ≅ G/Ntype
2. C43×#1996C2semidirect
3. C43×#1789C2semidirect
4. C43×#1788C2semidirect
5. C43×#1513C2semidirect
6. C43×#1501C2semidirect
7. C43×#1472C2semidirect
8. C2×2−1+4×C43C4semidirect
17. C43×#537C4semidirect
19. C43×#536C4semidirect
24. C43×#520C4semidirect
313. #8467C43direct (N × H)
353. #1996C2×C43semidirect
354. #1789C2×C43semidirect
355. #1788C2×C43semidirect
356. #1513C2×C43semidirect
357. #1501C2×C43semidirect
358. #1472C2×C43semidirect
369. C2×2−1+4C4×C43semidirect
378. #537C4×C43semidirect
380. #536C4×C43semidirect
385. #520C4×C43semidirect
400. C43#8467direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#34892
C43×#19962
C43×#17892
C43×#17882
C43×#15132
C43×#15012
C43×#14722
#846743