Finite Group Databasebeta

← C43×#25198 #24945215

Subgroups — C43×#25198 #24945215

Order 11008.

958 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3069C211yesmaximal, characteristic, complemented
2C43×#3069C211yesmaximal, characteristic, complemented
3C43×#3020C211yesmaximal, characteristic
4C2×C43×#456C211yesmaximal, characteristic, complemented
5C43×#2956C211yesmaximal, characteristic, complemented
6C43×#2889C211yesmaximal, characteristic, complemented
7C43×#2070C211yesmaximal, characteristic, complemented
8C43×#2050C211yesmaximal, characteristic, complemented
9C43×#2049C211yesmaximal, characteristic, complemented
10C43×#2005C211yesmaximal, characteristic, complemented
11C43×#1966C211yesmaximal, characteristic, complemented
12C43×#1932C211yesmaximal, characteristic, complemented
13C43×#1915C211yesmaximal, characteristic, complemented
14C43×#1902C211yesmaximal, characteristic, complemented
15C43×#1861C211yesmaximal, characteristic, complemented
16C2×2−1+4×C43C2211yescharacteristic
17C43×#575C2211yescharacteristic
18C43×#575C2211yescharacteristic
19C2×#137×C43C2211yescharacteristic
20C2×#137×C43C2211yescharacteristic
21C2×#137×C43C2211yescharacteristic
22C43×#568C2211yescharacteristic
23C43×#568C2211yescharacteristic
24C43×#568C2211yescharacteristic
25C43×#536C2211yescharacteristic
26C2×C4⋊Q8×C43C2211yescharacteristic
27C43×#473—22no—
28C43×#473—22no—
29C43×#471—22no—
30C43×#471—22no—
31C43×#456—22no—
32C43×#456—22no—
33C43×#456—22no—
34C43×#454—22no—
35C43×#444—22no—
36C43×#443—22no—
37C43×#430C2211yescharacteristic
38C43×#430C2211yescharacteristic
39C43×#430C2211yescharacteristic
40C43×#423C2211yescharacteristic
41C43×#421C2211yescharacteristic
42C43×#421C2211yescharacteristic
43C2×#104×C43C2211yescharacteristic
44C2×#104×C43C2211yescharacteristic
45C2×#104×C43C2211yescharacteristic
46C43×#419C2211yescharacteristic
47C43×#413—22no—
48C43×#413C2211yescharacteristic
49C43×#413C2211yescharacteristic
50C43×#413C2211yescharacteristic
51C2×#101×C43—22no—
52C2×#101×C43C2211yescharacteristic
53C2×#101×C43C2211yescharacteristic
54C2×#101×C43C2211yescharacteristic
55C2×#101×C43C2211yescharacteristic
56C2×#101×C43C2211yescharacteristic
57C2×#101×C43C2211yescharacteristic
58C4×M16×C43C2211yescharacteristic
59C43×#344C2211yescharacteristic
60C43×#344C2211yescharacteristic
61C43×#339C2211yescharacteristic
62C43×#338C2211yescharacteristic
632−1+4×C43—22no—
642−1+4×C43—22no—
652−1+4×C43—41no—
662−1+4×C43—41no—
67C2×#41×C43—21no—
68C2×#41×C43—21no—
69C2×#41×C43—22no—
70C2×#41×C43C2311yescharacteristic
71C2×#41×C43C2311yescharacteristic
72C2×#41×C43C2311yescharacteristic
73C22×Q8×C43—21no—
74C22×Q8×C43—21no—
75C22×Q8×C43C2311yescharacteristic
76C22×Q8×C43C2311yescharacteristic
77#137×C43—21no—
78#137×C43—22no—
79#137×C43—22no—
80#137×C43—21no—
81#137×C43—21no—
82#137×C43—22no—
83#137×C43—22no—
84#137×C43—41no—
85#137×C43—41no—
86#137×C43D412yes—
87AGL(1,ℤ/8)×C43—21no—
88AGL(1,ℤ/8)×C43—21no—
89AGL(1,ℤ/8)×C43—21no—
90AGL(1,ℤ/8)×C43D412yes—
91#135×C43—22no—
92#135×C43—41no—
93C2×Q16×C43—21no—
94C2×Q16×C43—21no—
95C2×Q16×C43—21no—
96C2×SD16×C43—21no—
97C2×SD16×C43—21no—
98C2×SD16×C43—21no—
99#131×C43—22no—
100#131×C43—22no—
101#131×C43—22no—
102#131×C43—22no—
103#131×C43—41no—
104#131×C43—41no—
105C2×M16×C43—22no—
106C2×M16×C43—22no—
107C2×M16×C43—41no—
108C2×M16×C43C2311yescharacteristic
109C2×M16×C43C2311yescharacteristic
110C2×M16×C43C2311yescharacteristic
111C2×M16×C43C2311yescharacteristic
112C2×M16×C43C2311yescharacteristic
113C2×M16×C43C2311yescharacteristic
114C2×M16×C43C2311yescharacteristic
115C2×M16×C43C2311yescharacteristic
116C4⋊Q8×C43—21no—
117C4⋊Q8×C43—21no—
118C4⋊Q8×C43—21no—
119C4⋊Q8×C43—41no—
120#124×C43—21no—
121#123×C43—22no—
122C22⋊Q8×C43—41no—
123#117×C43C2311yescharacteristic
124C2×C4⋊C4×C43—22no—
125C2×C42×C43C2311yescharacteristic
126#108×C43—22no—
127#108×C43—22no—
128#108×C43—22no—
129C4⋊C8×C43—41no—
130#104×C43—22no—
131#104×C43—22no—
132#104×C43—21no—
133#104×C43—21no—
134#104×C43—21no—
135#104×C43—21no—
136#104×C43D412yes—
137#104×C43D412yes—
138#103×C43—41no—
139#101×C43—21no—
140#101×C43—21no—
141#101×C43—22no—
142#101×C43—22no—
143#101×C43—22no—
144#101×C43—22no—
145#101×C43—22no—
146#101×C43—22no—
147#101×C43D412yes—
148#100×C43—21no—
149#100×C43—21no—
150#100×C43D412yes—
151#97×C43—21no—
152C4×C8×C43—21no—
153#41×C43—21no—
154#41×C43—21no—
155#41×C43—21no—
156#41×C43—21no—
157#41×C43—21no—
158#41×C43—21no—
159#41×C43—21no—
160#41×C43—21no—
161#41×C43—21no—
162#41×C43—21no—
163#41×C43—42no—
164#41×C43—42no—
165#41×C43—44no—
166#41×C43—44no—
167#41×C43—42no—
168#41×C43—42no—
169#41×C43C2×D412yes—
170#41×C43C2×D412yes—
171C2×Q8×C43—22no—
172C2×Q8×C43—21no—
173C2×Q8×C43—21no—
174C2×Q8×C43—21no—
175C2×Q8×C43—21no—
176C2×Q8×C43—21no—
177C2×Q8×C43—21no—
178C2×Q8×C43—21no—
179C2×Q8×C43—21no—
180C2×Q8×C43—21no—
181C2×Q8×C43—21no—
182C2×Q8×C43—21no—
183C2×Q8×C43—21no—
184C2×Q8×C43—42no—
185C2×Q8×C43—42no—
186C2×Q8×C43—42no—
187C2×Q8×C43—42no—
188C2×Q8×C43C2×D411yescharacteristic
189C2×Q8×C43C2×D411yescharacteristic
190C2×Q8×C43#4111yescharacteristic
191C2×D4×C43—22no—
192C2×D4×C43—21no—
193C2×D4×C43—21no—
194C2×D4×C43—21no—
195C2×D4×C43C2×D411yescharacteristic
196C2×D4×C43C2×D411yescharacteristic
197C2×D4×C43#4111yescharacteristic
198C22×C4×C43—21no—
199C22×C4×C43—22no—
200C22×C4×C43—22no—
201C22×C4×C43—21no—
202C22×C4×C43—21no—
203C22×C4×C43—21no—
204C22×C4×C43—21no—
205C22×C4×C43#4112yes—
206C22×C4×C43C2411yescharacteristic
207Q16×C43—22no—
208Q16×C43—42no—
209Q16×C43—42no—
210Q16×C43—41no—
211Q16×C43—42no—
212SD16×C43—22no—
213SD16×C43—22no—
214SD16×C43—42no—
215SD16×C43—42no—
216SD16×C43—41no—
217SD16×C43—41no—
218SD16×C43—42no—
219D8×C43—22no—
220D8×C43—41no—
221M16×C43—21no—
222M16×C43—21no—
223M16×C43—21no—
224M16×C43—21no—
225M16×C43—21no—
226M16×C43—21no—
227M16×C43—21no—
228M16×C43—21no—
229M16×C43—21no—
230M16×C43—21no—
231M16×C43—21no—
232M16×C43—21no—
233M16×C43—42no—
234M16×C43—42no—
235M16×C43—42no—
236M16×C43C2×D412yes—
237M16×C43C2×D412yes—
238M16×C43C2×D412yes—
239M16×C43C2×D412yes—
240C2×C8×C43—21no—
241C2×C8×C43—21no—
242C2×C8×C43—21no—
243C2×C8×C43—21no—
244C2×C8×C43—21no—
245C2×C8×C43—21no—
246C2×C8×C43—21no—
247C2×C8×C43—21no—
248C2×C8×C43—42no—
249C2×C8×C43—42no—
250C2×C8×C43—42no—
251C4⋊C4×C43—21no—
252C4⋊C4×C43—42no—
253C4⋊C4×C43—42no—
254C4⋊C4×C43—42no—
255C22⋊C4×C43—21no—
256C22⋊C4×C43—42no—
257C42×C43—21no—
258C42×C43—21no—
259C42×C43C2×D411yescharacteristic
260C42×C43C2×D411yescharacteristic
261C23×C43—21no—
262C23×C43—21no—
263C23×C43—21no—
264C23×C43C2×#4111yescharacteristic
265Q8×C43—21no—
266Q8×C43—21no—
267Q8×C43—21no—
268Q8×C43—21no—
269Q8×C43—21no—
270Q8×C43—44no—
271Q8×C43—41no—
272Q8×C43—41no—
273Q8×C43—41no—
274Q8×C43—41no—
275Q8×C43—41no—
276Q8×C43—41no—
277Q8×C43—41no—
278Q8×C43—41no—
279Q8×C43#12112yes—
280D4×C43—22no—
281D4×C43—22no—
282D4×C43—21no—
283D4×C43—21no—
284D4×C43—21no—
285D4×C43—21no—
286D4×C43—21no—
287D4×C43—44no—
288D4×C43—41no—
289D4×C43—41no—
290D4×C43—41no—
291D4×C43—41no—
292D4×C43#12112yes—
293C2×C4×C43—21no—
294C2×C4×C43—21no—
295C2×C4×C43—22no—
296C2×C4×C43—22no—
297C2×C4×C43—21no—
298C2×C4×C43—22no—
299C2×C4×C43—21no—
300C2×C4×C43—22no—
301C2×C4×C43—21no—
302C2×C4×C43—22no—
303C2×C4×C43—42no—
304C2×C4×C43—44no—
305C2×C4×C43—44no—
306C2×C4×C43—41no—
307C2×C4×C43—41no—
308C2×C4×C43—41no—
309C2×C4×C43—41no—
310C2×C4×C43—41no—
311C2×C4×C43—41no—
312C2×C4×C43—41no—
313C2×C4×C43—41no—
314C2×C4×C43C22×D411yescharacteristic
315C2×C4×C43C22×D411yescharacteristic
316C2×C4×C43C22×D411yescharacteristic
317C2×C4×C43C2×#4111yescharacteristic
318C2×C4×C43H(5,𝔽2)11yescharacteristic
319C2×C4×C43H(5,𝔽2)11yescharacteristic
320C8×C43—22no—
321C8×C43—22no—
322C8×C43—22no—
323C8×C43—22no—
324C8×C43—41no—
325C8×C43—41no—
326C8×C43—41no—
327C8×C43—41no—
328#25198C4311yesmaximal, characteristic, direct product factor, Sylow
329C22×C43—22no—
330C22×C43—41no—
331C22×C43—41no—
332C22×C43—41no—
333C22×C43—81no—
334C22×C43—81no—
335C22×C43—81no—
336C22×C43#52511yescharacteristic
337C22×C43#54611yescharacteristic
338C22×C43#54611yescharacteristic
339C4×C43—22no—
340C4×C43—22no—
341C4×C43—41no—
342C4×C43—42no—
343C4×C43—41no—
344C4×C43—41no—
345C4×C43—81no—
346C4×C43—81no—
347C4×C43C2×#12111yescharacteristic
348C4×C43#53811yescharacteristic
349C4×C43D4211yescharacteristic
350C4×C43D4211yescharacteristic
351#3069C2×C4311yescharacteristic, complemented
352#3069C2×C4311yescharacteristic, complemented
353#3020C2×C4311yescharacteristic
354C2×#456C2×C4311yescharacteristic, complemented
355#2956C2×C4311yescharacteristic, complemented
356#2889C2×C4311yescharacteristic, complemented
357#2070C2×C4311yescharacteristic, complemented
358#2050C2×C4311yescharacteristic, complemented
359#2049C2×C4311yescharacteristic, complemented
360#2005C2×C4311yescharacteristic, complemented
361#1966C2×C4311yescharacteristic, complemented
362#1932C2×C4311yescharacteristic, complemented
363#1915C2×C4311yescharacteristic, complemented
364#1902C2×C4311yescharacteristic, complemented
365#1861C2×C4311yescharacteristic, complemented
366C2×C43—21no—
367C2×C43—21no—
368C2×C43—21no—
369C2×C43—42no—
370C2×C43—81no—
371C2×C43—81no—
372C2×C43#242411yescharacteristic
373C2×2−1+4C22×C4311yescharacteristic
374#575C22×C4311yescharacteristic
375#575C22×C4311yescharacteristic
376C2×#137C22×C4311yescharacteristic
377C2×#137C22×C4311yescharacteristic
378C2×#137C22×C4311yescharacteristic
379#568C22×C4311yescharacteristic
380#568C22×C4311yescharacteristic
381#568C22×C4311yescharacteristic
382#536C22×C4311yescharacteristic
383C2×C4⋊Q8C22×C4311yescharacteristic
384#473—22no—
385#473—22no—
386#471—22no—
387#471—22no—
388#456—22no—
389#456—22no—
390#456—22no—
391#454—22no—
392#444—22no—
393#443—22no—
394#430C22×C4311yescharacteristic
395#430C22×C4311yescharacteristic
396#430C22×C4311yescharacteristic
397#423C22×C4311yescharacteristic
398#421C22×C4311yescharacteristic
399#421C22×C4311yescharacteristic
400C2×#104C22×C4311yescharacteristic
401C2×#104C22×C4311yescharacteristic
402C2×#104C22×C4311yescharacteristic
403#419C22×C4311yescharacteristic
404#413—22no—
405#413C22×C4311yescharacteristic
406#413C22×C4311yescharacteristic
407#413C22×C4311yescharacteristic
408C2×#101—22no—
409C2×#101C22×C4311yescharacteristic
410C2×#101C22×C4311yescharacteristic
411C2×#101C22×C4311yescharacteristic
412C2×#101C22×C4311yescharacteristic
413C2×#101C22×C4311yescharacteristic
414C2×#101C22×C4311yescharacteristic
415C4×M16C22×C4311yescharacteristic
416#344C22×C4311yescharacteristic
417#344C22×C4311yescharacteristic
418#339C22×C4311yescharacteristic
419#338C22×C4311yescharacteristic
420C43#2519811yescharacteristic, direct product factor, Sylow
4212−1+4—22no—
4222−1+4—22no—
4232−1+4—41no—
4242−1+4—41no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—22no—
428C2×#41C23×C4311yescharacteristic
429C2×#41C23×C4311yescharacteristic
430C2×#41C23×C4311yescharacteristic
431C22×Q8—21no—
432C22×Q8—21no—
433C22×Q8C23×C4311yescharacteristic
434C22×Q8C23×C4311yescharacteristic
435#137—21no—
436#137—22no—
437#137—22no—
438#137—21no—
439#137—21no—
440#137—22no—
441#137—22no—
442#137—41no—
443#137—41no—
444#137D4×C4312yes—
445AGL(1,ℤ/8)—21no—
446AGL(1,ℤ/8)—21no—
447AGL(1,ℤ/8)—21no—
448AGL(1,ℤ/8)D4×C4312yes—
449#135—22no—
450#135—41no—
451C2×Q16—21no—
452C2×Q16—21no—
453C2×Q16—21no—
454C2×SD16—21no—
455C2×SD16—21no—
456C2×SD16—21no—
457#131—22no—
458#131—22no—
459#131—22no—
460#131—22no—
461#131—41no—
462#131—41no—
463C2×M16—22no—
464C2×M16—22no—
465C2×M16—41no—
466C2×M16C23×C4311yescharacteristic
467C2×M16C23×C4311yescharacteristic
468C2×M16C23×C4311yescharacteristic
469C2×M16C23×C4311yescharacteristic
470C2×M16C23×C4311yescharacteristic
471C2×M16C23×C4311yescharacteristic
472C2×M16C23×C4311yescharacteristic
473C2×M16C23×C4311yescharacteristic
474C4⋊Q8—21no—
475C4⋊Q8—21no—
476C4⋊Q8—21no—
477C4⋊Q8—41no—
478#124—21no—
479#123—22no—
480C22⋊Q8—41no—
481#117C23×C4311yescharacteristic
482C2×C4⋊C4—22no—
483C2×C42C23×C4311yescharacteristic
484#108—22no—
485#108—22no—
486#108—22no—
487C4⋊C8—41no—
488#104—22no—
489#104—22no—
490#104—21no—
491#104—21no—
492#104—21no—
493#104—21no—
494#104D4×C4312yes—
495#104D4×C4312yes—
496#103—41no—
497#101—21no—
498#101—21no—
499#101—22no—
500#101—22no—
501#101—22no—
502#101—22no—
503#101—22no—
504#101—22no—
505#101D4×C4312yes—
506#100—21no—
507#100—21no—
508#100D4×C4312yes—
509#97—21no—
510C4×C8—21no—
511#41—21no—
512#41—21no—
513#41—21no—
514#41—21no—
515#41—21no—
516#41—21no—
517#41—21no—
518#41—21no—
519#41—21no—
520#41—21no—
521#41—42no—
522#41—42no—
523#41—44no—
524#41—44no—
525#41—42no—
526#41—42no—
527#41C2×D4×C4312yes—
528#41C2×D4×C4312yes—
529C2×Q8—22no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—21no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—42no—
543C2×Q8—42no—
544C2×Q8—42no—
545C2×Q8—42no—
546C2×Q8C2×D4×C4311yescharacteristic
547C2×Q8C2×D4×C4311yescharacteristic
548C2×Q8#41×C4311yescharacteristic
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4C2×D4×C4311yescharacteristic
554C2×D4C2×D4×C4311yescharacteristic
555C2×D4#41×C4311yescharacteristic
556C22×C4—21no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4#41×C4312yes—
564C22×C4C24×C4311yescharacteristic
565Q16—22no—
566Q16—42no—
567Q16—42no—
568Q16—41no—
569Q16—42no—
570SD16—22no—
571SD16—22no—
572SD16—42no—
573SD16—42no—
574SD16—41no—
575SD16—41no—
576SD16—42no—
577D8—22no—
578D8—41no—
579M16—21no—
580M16—21no—
581M16—21no—
582M16—21no—
583M16—21no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—42no—
592M16—42no—
593M16—42no—
594M16C2×D4×C4312yes—
595M16C2×D4×C4312yes—
596M16C2×D4×C4312yes—
597M16C2×D4×C4312yes—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—21no—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—42no—
607C2×C8—42no—
608C2×C8—42no—
609C4⋊C4—21no—
610C4⋊C4—42no—
611C4⋊C4—42no—
612C4⋊C4—42no—
613C22⋊C4—21no—
614C22⋊C4—42no—
615C42—21no—
616C42—21no—
617C42C2×D4×C4311yescharacteristic
618C42C2×D4×C4311yescharacteristic
619C23—21no—
620C23—21no—
621C23—21no—
622C23C2×#41×C4311yescharacteristic
623Q8—21no—
624Q8—21no—
625Q8—21no—
626Q8—21no—
627Q8—21no—
628Q8—44no—
629Q8—41no—
630Q8—41no—
631Q8—41no—
632Q8—41no—
633Q8—41no—
634Q8—41no—
635Q8—41no—
636Q8—41no—
637Q8#121×C4312yes—
638D4—22no—
639D4—22no—
640D4—21no—
641D4—21no—
642D4—21no—
643D4—21no—
644D4—21no—
645D4—44no—
646D4—41no—
647D4—41no—
648D4—41no—
649D4—41no—
650D4#121×C4312yes—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—44no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4C22×D4×C4311yescharacteristic
673C2×C4C22×D4×C4311yescharacteristic
674C2×C4C22×D4×C4311yescharacteristic
675C2×C4C2×#41×C4311yescharacteristic
676C2×C4H(5,𝔽2)×C4311yescharacteristic
677C2×C4H(5,𝔽2)×C4311yescharacteristic
678C8—22no—
679C8—22no—
680C8—22no—
681C8—22no—
682C8—41no—
683C8—41no—
684C8—41no—
685C8—41no—
686C22—22no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22C43×#52511yescharacteristic
694C22C43×#54611yescharacteristic
695C22C43×#54611yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—42no—
700C4—41no—
701C4—41no—
702C4—81no—
703C4—81no—
704C4C2×#121×C4311yescharacteristic
705C4C43×#53811yescharacteristic
706C4D42×C4311yescharacteristic
707C4D42×C4311yescharacteristic
708C2—21no—
709C2—21no—
710C2—21no—
711C2—42no—
712C2—81no—
713C2—81no—
714C2C43×#242411yescharacteristic
subgroupG/H
center, socleC2×C43#2424
commutator, Frattini, cosocleC22×C4C24×C43
prime radicalC43×#3020C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C43 ◁ C22×C4×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#3069C2semidirect
2. C43×#3069C2semidirect
4. C2×C43×#456C2semidirect
5. C43×#2956C2semidirect
6. C43×#2889C2semidirect
7. C43×#2070C2semidirect
8. C43×#2050C2semidirect
9. C43×#2049C2semidirect
10. C43×#2005C2semidirect
11. C43×#1966C2semidirect
12. C43×#1932C2semidirect
13. C43×#1915C2semidirect
14. C43×#1902C2semidirect
15. C43×#1861C2semidirect
328. #25198C43direct (N × H)
351. #3069C2×C43semidirect
352. #3069C2×C43semidirect
354. C2×#456C2×C43semidirect
355. #2956C2×C43semidirect
356. #2889C2×C43semidirect
357. #2070C2×C43semidirect
358. #2050C2×C43semidirect
359. #2049C2×C43semidirect
360. #2005C2×C43semidirect
361. #1966C2×C43semidirect
362. #1932C2×C43semidirect
363. #1915C2×C43semidirect
364. #1902C2×C43semidirect
365. #1861C2×C43semidirect
420. C43#25198direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#30692
C43×#30202
C2×C43×#4562
C43×#29562
C43×#28892
C43×#20702
C43×#20502
C43×#20492
C43×#20052
C43×#19662
C43×#19322
C43×#19152
C43×#19022
C43×#18612
#2519843