Finite Group Databasebeta

← C43×#33572 #24953589

Subgroups — C43×#33572 #24953589

Order 11008.

1108 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3551C211yesmaximal, characteristic, complemented
2C43×#3022C211yesmaximal, characteristic, complemented
3C43×#3021C211yesmaximal, characteristic, complemented
4C43×#3018C211yesmaximal, characteristic, complemented
5C43×#2204C214yesmaximal, complemented
6C43×#2203C214yesmaximal, complemented
7C43×#2135C211yesmaximal, characteristic, complemented
8C43×#2134C211yesmaximal, characteristic, complemented
9C43×#2132C211yesmaximal, characteristic, complemented
10C43×#585C2211yescharacteristic
11C43×#575—21no—
12C2×#137×C43—21no—
13C2×AGL(1,ℤ/8)×C43—21no—
14C43×#563C2212yescomplemented
15C43×#560—21no—
16C43×#555C2212yescomplemented
17C43×#553—21no—
18C43×#552—21no—
19C43×#551—21no—
20C43×#548—21no—
21C43×#546—21no—
22C43×#540—22no—
23C43×#538—22no—
24C43×#537—21no—
25C43×#536C2211yescharacteristic
26C43×#535C2211yescharacteristic
27C43×#532C2211yescharacteristic
28C43×#529—21no—
29C43×#456C2212yescomplemented
30C43×#456C2214yescomplemented
31C43×#455—21no—
32C43×#455—22no—
33C43×#454C2214yes—
34C43×#454C2212yescomplemented
35C43×#453—21no—
36C43×#453—22no—
37C43×#421—21no—
38C43×#421—21no—
39C2×#104×C43—21no—
40C43×#413C2211yescharacteristic
41C43×#413C2211yescharacteristic
42C43×#413C2211yescharacteristic
43C43×#356C2212yescomplemented
44C43×#356C2214yescomplemented
45C43×#355C2212yescomplemented
46C43×#355C2214yescomplemented
472−1+4×C43—41no—
482−1+4×C43C2312yes—
49H(5,𝔽2)×C43—21no—
50H(5,𝔽2)×C43—21no—
51H(5,𝔽2)×C43—21no—
52H(5,𝔽2)×C43—41no—
53C2×#41×C43—21no—
54C2×#41×C43—21no—
55C2×#41×C43—21no—
56C2×#41×C43—21no—
57C2×#41×C43—42no—
58C2×#41×C43D411yescharacteristic
59C2×#41×C43C2311yescharacteristic
60C22×Q8×C43D411yescharacteristic
61C22×D4×C43D411yescharacteristic
62#137×C43—24no—
63#137×C43—22no—
64#137×C43—41no—
65#137×C43—42no—
66AGL(1,ℤ/8)×C43—24no—
67AGL(1,ℤ/8)×C43—22no—
68AGL(1,ℤ/8)×C43—41no—
69AGL(1,ℤ/8)×C43—42no—
70#135×C43—42no—
71C2×Q16×C43—41no—
72C2×SD16×C43—41no—
73C2×SD16×C43—41no—
74C2×D8×C43—41no—
75C2×M16×C43—21no—
76C2×M16×C43—21no—
77C2×M16×C43—21no—
78C4⋊Q8×C43C2311yescharacteristic
79C4⋊Q8×C43C2312yes—
80#127×C43D411yescharacteristic
81#127×C43D412yes—
82#126×C43—22no—
83#126×C43—22no—
84#126×C43—22no—
85#125×C43—21no—
86#125×C43—22no—
87#124×C43—21no—
88#124×C43—22no—
89#124×C43D411yescharacteristic
90#124×C43D412yes—
91#124×C43C2311yescharacteristic
92#124×C43C2312yes—
93#123×C43—22no—
94#123×C43—22no—
95#123×C43—22no—
96#123×C43—21no—
97#123×C43—21no—
98#123×C43—22no—
99C22⋊Q8×C43—21no—
100C22⋊Q8×C43—22no—
101C22⋊Q8×C43—22no—
102C22⋊Q8×C43—21no—
103C22⋊Q8×C43—21no—
104#121×C43—22no—
105#121×C43—22no—
106#121×C43—21no—
107#121×C43—22no—
108#121×C43—22no—
109#121×C43—21no—
110#121×C43—21no—
111#121×C43—22no—
112#121×C43—22no—
113#121×C43—21no—
114#121×C43—21no—
115#120×C43—22no—
116#120×C43—21no—
117#120×C43—21no—
118C4×Q8×C43—21no—
119C4×D4×C43—22no—
120C4×D4×C43—21no—
121C4×D4×C43—22no—
122C4×D4×C43—21no—
123C4×D4×C43—21no—
124C4×D4×C43—22no—
125#117×C43—22no—
126#117×C43—22no—
127#117×C43D411yescharacteristic
128#117×C43D411yescharacteristic
129C2×C4⋊C4×C43—21no—
130C2×C22⋊C4×C43—22no—
131C2×C42×C43D411yescharacteristic
132#104×C43—22no—
133#104×C43—22no—
134#104×C43—24no—
135#104×C43—24no—
136#101×C43C2312yes—
137#101×C43C2312yes—
138#101×C43C2312yes—
139#100×C43—21no—
140#100×C43—21no—
141#100×C43—21no—
142C24×C43—21no—
143#41×C43—22no—
144#41×C43—22no—
145#41×C43—22no—
146#41×C43—22no—
147#41×C43—22no—
148#41×C43—22no—
149#41×C43—41no—
150#41×C43—41no—
151#41×C43—41no—
152#41×C43—41no—
153#41×C43—41no—
154#41×C43—41no—
155#41×C43—41no—
156#41×C43—42no—
157#41×C43—42no—
158#41×C43—42no—
159#41×C43—42no—
160#41×C43—41no—
161#41×C43—81no—
162#41×C43—81no—
163C2×Q8×C43—21no—
164C2×Q8×C43—21no—
165C2×Q8×C43—21no—
166C2×Q8×C43—21no—
167C2×Q8×C43—41no—
168C2×Q8×C43—41no—
169C2×Q8×C43—42no—
170C2×Q8×C43C2×D411yescharacteristic
171C2×Q8×C43C2×D412yes—
172C2×Q8×C43C2411yescharacteristic
173C2×D4×C43—22no—
174C2×D4×C43—22no—
175C2×D4×C43—21no—
176C2×D4×C43—21no—
177C2×D4×C43—22no—
178C2×D4×C43—22no—
179C2×D4×C43—21no—
180C2×D4×C43—21no—
181C2×D4×C43—21no—
182C2×D4×C43—21no—
183C2×D4×C43—21no—
184C2×D4×C43—42no—
185C2×D4×C43—42no—
186C2×D4×C43—42no—
187C2×D4×C43—41no—
188C2×D4×C43—41no—
189C2×D4×C43—41no—
190C2×D4×C43—41no—
191C2×D4×C43—41no—
192C2×D4×C43C2×D411yescharacteristic
193C2×D4×C43C2×D412yes—
194C2×D4×C43C2×D411yescharacteristic
195C2×D4×C43C2×D411yescharacteristic
196C2×D4×C43C2×D411yescharacteristic
197C22×C4×C43—22no—
198C22×C4×C43—22no—
199C22×C4×C43—22no—
200C22×C4×C43—21no—
201C22×C4×C43—21no—
202C22×C4×C43—21no—
203C22×C4×C43—41no—
204C22×C4×C43—41no—
205C22×C4×C43—41no—
206C22×C4×C43C2×D411yescharacteristic
207C22×C4×C43C2×D411yescharacteristic
208C22×C4×C43C2×D411yescharacteristic
209Q16×C43—44no—
210Q16×C43—42no—
211SD16×C43—44no—
212SD16×C43—42no—
213SD16×C43—44no—
214SD16×C43—42no—
215D8×C43—44no—
216D8×C43—42no—
217M16×C43—22no—
218M16×C43—22no—
219M16×C43—22no—
220M16×C43—41no—
221M16×C43—41no—
222M16×C43—41no—
223C2×C8×C43—41no—
224C2×C8×C43—41no—
225C2×C8×C43—41no—
226C4⋊C4×C43—22no—
227C4⋊C4×C43—22no—
228C4⋊C4×C43—22no—
229C4⋊C4×C43—22no—
230C4⋊C4×C43—22no—
231C4⋊C4×C43—21no—
232C4⋊C4×C43—21no—
233C4⋊C4×C43—22no—
234C4⋊C4×C43—22no—
235C4⋊C4×C43—21no—
236C4⋊C4×C43—21no—
237C22⋊C4×C43—22no—
238C22⋊C4×C43—22no—
239C22⋊C4×C43—22no—
240C22⋊C4×C43—22no—
241C22⋊C4×C43—22no—
242C22⋊C4×C43—21no—
243C22⋊C4×C43—22no—
244C22⋊C4×C43—21no—
245C22⋊C4×C43—22no—
246C22⋊C4×C43—21no—
247C22⋊C4×C43—22no—
248C22⋊C4×C43—21no—
249C22⋊C4×C43—21no—
250C22⋊C4×C43—21no—
251C22⋊C4×C43—22no—
252C42×C43—22no—
253C42×C43—21no—
254C42×C43C2×D411yescharacteristic
255C42×C43C2×D411yescharacteristic
256C42×C43C2×D412yes—
257C42×C43C2×D412yes—
258C23×C43—22no—
259C23×C43—21no—
260C23×C43—41no—
261C23×C43—41no—
262C23×C43—41no—
263C23×C43—81no—
264C23×C43—82no—
265C23×C43#12011yescharacteristic
266C23×C43#12011yescharacteristic
267C23×C43#12011yescharacteristic
268Q8×C43—22no—
269Q8×C43—22no—
270Q8×C43—22no—
271Q8×C43—41no—
272Q8×C43—42no—
273Q8×C43—41no—
274Q8×C43—41no—
275Q8×C43—41no—
276Q8×C43—41no—
277D4×C43—22no—
278D4×C43—22no—
279D4×C43—22no—
280D4×C43—41no—
281D4×C43—41no—
282D4×C43—41no—
283D4×C43—42no—
284D4×C43—41no—
285D4×C43—42no—
286D4×C43—42no—
287D4×C43—42no—
288D4×C43—42no—
289D4×C43—41no—
290D4×C43—41no—
291D4×C43—41no—
292D4×C43—81no—
293D4×C43—82no—
294D4×C43—81no—
295D4×C43—82no—
296D4×C43—82no—
297D4×C43—81no—
298D4×C43—82no—
299C2×C4×C43—21no—
300C2×C4×C43—21no—
301C2×C4×C43—21no—
302C2×C4×C43—21no—
303C2×C4×C43—21no—
304C2×C4×C43—21no—
305C2×C4×C43—21no—
306C2×C4×C43—22no—
307C2×C4×C43—21no—
308C2×C4×C43—22no—
309C2×C4×C43—22no—
310C2×C4×C43—21no—
311C2×C4×C43—42no—
312C2×C4×C43—42no—
313C2×C4×C43—42no—
314C2×C4×C43—41no—
315C2×C4×C43—41no—
316C2×C4×C43—41no—
317C2×C4×C43—41no—
318C2×C4×C43—41no—
319C2×C4×C43—42no—
320C2×C4×C43—81no—
321C2×C4×C43—82no—
322C2×C4×C43—81no—
323C2×C4×C43—82no—
324C2×C4×C43—82no—
325C2×C4×C43#12011yescharacteristic
326C2×C4×C43C22×D411yescharacteristic
327C2×C4×C43C22×D411yescharacteristic
328C2×C4×C43C22×D411yescharacteristic
329C8×C43—42no—
330C8×C43—42no—
331C8×C43—42no—
332#33572C4311yesmaximal, characteristic, direct product factor, Sylow
333C22×C43—21no—
334C22×C43—21no—
335C22×C43—21no—
336C22×C43—41no—
337C22×C43—41no—
338C22×C43—41no—
339C22×C43—42no—
340C22×C43—42no—
341C22×C43—41no—
342C22×C43—41no—
343C22×C43—42no—
344C22×C43—41no—
345C22×C43—42no—
346C22×C43—161no—
347C22×C43—161no—
348C22×C43—161no—
349C22×C43—162no—
350C22×C43C2×#12011yescharacteristic
351C4×C43—21no—
352C4×C43—21no—
353C4×C43—21no—
354C4×C43—41no—
355C4×C43—42no—
356C4×C43—42no—
357C4×C43—41no—
358C4×C43—41no—
359C4×C43—42no—
360C4×C43—42no—
361C4×C43B(4,𝔽2)11yescharacteristic
362C4×C43B(4,𝔽2)11yescharacteristic
363#3551C2×C4311yescharacteristic, complemented
364#3022C2×C4311yescharacteristic, complemented
365#3021C2×C4311yescharacteristic, complemented
366#3018C2×C4311yescharacteristic, complemented
367#2204C2×C4314yescomplemented
368#2203C2×C4314yescomplemented
369#2135C2×C4311yescharacteristic, complemented
370#2134C2×C4311yescharacteristic, complemented
371#2132C2×C4311yescharacteristic, complemented
372C2×C43—21no—
373C2×C43—41no—
374C2×C43—41no—
375C2×C43—41no—
376C2×C43—81no—
377C2×C43—82no—
378C2×C43—82no—
379C2×C43C2×B(4,𝔽2)11yescharacteristic
380#585C22×C4311yescharacteristic
381#575—21no—
382C2×#137—21no—
383C2×AGL(1,ℤ/8)—21no—
384#563C22×C4312yescomplemented
385#560—21no—
386#555C22×C4312yescomplemented
387#553—21no—
388#552—21no—
389#551—21no—
390#548—21no—
391#546—21no—
392#540—22no—
393#538—22no—
394#537—21no—
395#536C22×C4311yescharacteristic
396#535C22×C4311yescharacteristic
397#532C22×C4311yescharacteristic
398#529—21no—
399#456C22×C4312yescomplemented
400#456C22×C4314yescomplemented
401#455—21no—
402#455—22no—
403#454C22×C4314yes—
404#454C22×C4312yescomplemented
405#453—21no—
406#453—22no—
407#421—21no—
408#421—21no—
409C2×#104—21no—
410#413C22×C4311yescharacteristic
411#413C22×C4311yescharacteristic
412#413C22×C4311yescharacteristic
413#356C22×C4312yescomplemented
414#356C22×C4314yescomplemented
415#355C22×C4312yescomplemented
416#355C22×C4314yescomplemented
417C43#3357211yescharacteristic, direct product factor, Sylow
4182−1+4—41no—
4192−1+4C23×C4312yes—
420H(5,𝔽2)—21no—
421H(5,𝔽2)—21no—
422H(5,𝔽2)—21no—
423H(5,𝔽2)—41no—
424C2×#41—21no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—21no—
428C2×#41—42no—
429C2×#41D4×C4311yescharacteristic
430C2×#41C23×C4311yescharacteristic
431C22×Q8D4×C4311yescharacteristic
432C22×D4D4×C4311yescharacteristic
433#137—24no—
434#137—22no—
435#137—41no—
436#137—42no—
437AGL(1,ℤ/8)—24no—
438AGL(1,ℤ/8)—22no—
439AGL(1,ℤ/8)—41no—
440AGL(1,ℤ/8)—42no—
441#135—42no—
442C2×Q16—41no—
443C2×SD16—41no—
444C2×SD16—41no—
445C2×D8—41no—
446C2×M16—21no—
447C2×M16—21no—
448C2×M16—21no—
449C4⋊Q8C23×C4311yescharacteristic
450C4⋊Q8C23×C4312yes—
451#127D4×C4311yescharacteristic
452#127D4×C4312yes—
453#126—22no—
454#126—22no—
455#126—22no—
456#125—21no—
457#125—22no—
458#124—21no—
459#124—22no—
460#124D4×C4311yescharacteristic
461#124D4×C4312yes—
462#124C23×C4311yescharacteristic
463#124C23×C4312yes—
464#123—22no—
465#123—22no—
466#123—22no—
467#123—21no—
468#123—21no—
469#123—22no—
470C22⋊Q8—21no—
471C22⋊Q8—22no—
472C22⋊Q8—22no—
473C22⋊Q8—21no—
474C22⋊Q8—21no—
475#121—22no—
476#121—22no—
477#121—21no—
478#121—22no—
479#121—22no—
480#121—21no—
481#121—21no—
482#121—22no—
483#121—22no—
484#121—21no—
485#121—21no—
486#120—22no—
487#120—21no—
488#120—21no—
489C4×Q8—21no—
490C4×D4—22no—
491C4×D4—21no—
492C4×D4—22no—
493C4×D4—21no—
494C4×D4—21no—
495C4×D4—22no—
496#117—22no—
497#117—22no—
498#117D4×C4311yescharacteristic
499#117D4×C4311yescharacteristic
500C2×C4⋊C4—21no—
501C2×C22⋊C4—22no—
502C2×C42D4×C4311yescharacteristic
503#104—22no—
504#104—22no—
505#104—24no—
506#104—24no—
507#101C23×C4312yes—
508#101C23×C4312yes—
509#101C23×C4312yes—
510#100—21no—
511#100—21no—
512#100—21no—
513C24—21no—
514#41—22no—
515#41—22no—
516#41—22no—
517#41—22no—
518#41—22no—
519#41—22no—
520#41—41no—
521#41—41no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526#41—41no—
527#41—42no—
528#41—42no—
529#41—42no—
530#41—42no—
531#41—41no—
532#41—81no—
533#41—81no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—41no—
539C2×Q8—41no—
540C2×Q8—42no—
541C2×Q8C2×D4×C4311yescharacteristic
542C2×Q8C2×D4×C4312yes—
543C2×Q8C24×C4311yescharacteristic
544C2×D4—21no—
545C2×D4—21no—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—41no—
556C2×D4—41no—
557C2×D4—42no—
558C2×D4—42no—
559C2×D4—42no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4C2×D4×C4311yescharacteristic
564C2×D4C2×D4×C4312yes—
565C2×D4C2×D4×C4311yescharacteristic
566C2×D4C2×D4×C4311yescharacteristic
567C2×D4C2×D4×C4311yescharacteristic
568C22×C4—22no—
569C22×C4—22no—
570C22×C4—22no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—41no—
575C22×C4—41no—
576C22×C4—41no—
577C22×C4C2×D4×C4311yescharacteristic
578C22×C4C2×D4×C4311yescharacteristic
579C22×C4C2×D4×C4311yescharacteristic
580Q16—44no—
581Q16—42no—
582SD16—44no—
583SD16—42no—
584SD16—44no—
585SD16—42no—
586D8—44no—
587D8—42no—
588M16—22no—
589M16—22no—
590M16—22no—
591M16—41no—
592M16—41no—
593M16—41no—
594C2×C8—41no—
595C2×C8—41no—
596C2×C8—41no—
597C4⋊C4—22no—
598C4⋊C4—22no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—22no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—22no—
605C4⋊C4—22no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—22no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—21no—
622C22⋊C4—22no—
623C42—22no—
624C42—21no—
625C42C2×D4×C4311yescharacteristic
626C42C2×D4×C4311yescharacteristic
627C42C2×D4×C4312yes—
628C42C2×D4×C4312yes—
629C23—22no—
630C23—21no—
631C23—41no—
632C23—41no—
633C23—41no—
634C23—81no—
635C23—82no—
636C23#120×C4311yescharacteristic
637C23#120×C4311yescharacteristic
638C23#120×C4311yescharacteristic
639Q8—22no—
640Q8—22no—
641Q8—22no—
642Q8—41no—
643Q8—42no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—41no—
648D4—22no—
649D4—22no—
650D4—22no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—42no—
655D4—41no—
656D4—42no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—41no—
661D4—41no—
662D4—41no—
663D4—81no—
664D4—82no—
665D4—82no—
666D4—82no—
667D4—82no—
668D4—81no—
669D4—81no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—81no—
692C2×C4—82no—
693C2×C4—82no—
694C2×C4—81no—
695C2×C4—82no—
696C2×C4#120×C4311yescharacteristic
697C2×C4C22×D4×C4311yescharacteristic
698C2×C4C22×D4×C4311yescharacteristic
699C2×C4C22×D4×C4311yescharacteristic
700C8—42no—
701C8—42no—
702C8—42no—
703C22—21no—
704C22—21no—
705C22—21no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—42no—
711C22—41no—
712C22—42no—
713C22—42no—
714C22—41no—
715C22—42no—
716C22—161no—
717C22—161no—
718C22—161no—
719C22—162no—
720C22C2×#120×C4311yescharacteristic
721C4—21no—
722C4—21no—
723C4—21no—
724C4—41no—
725C4—42no—
726C4—42no—
727C4—41no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4C43×B(4,𝔽2)11yescharacteristic
732C4C43×B(4,𝔽2)11yescharacteristic
733C2—21no—
734C2—41no—
735C2—41no—
736C2—41no—
737C2—82no—
738C2—81no—
739C2—82no—
740C2C2×C43×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC2×C43C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×Q8C24×C43
LCSG ▷ C2×Q8 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C43 ◁ C2×C4×C43 ◁ C2×#41×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#3551C2semidirect
2. C43×#3022C2semidirect
3. C43×#3021C2semidirect
4. C43×#3018C2semidirect
5. C43×#2204C2semidirect
6. C43×#2203C2semidirect
7. C43×#2135C2semidirect
8. C43×#2134C2semidirect
9. C43×#2132C2semidirect
14. C43×#563C22semidirect
16. C43×#555C22semidirect
29. C43×#456C22semidirect
30. C43×#456C22semidirect
34. C43×#454C22semidirect
43. C43×#356C22semidirect
44. C43×#356C22semidirect
45. C43×#355C22semidirect
46. C43×#355C22semidirect
332. #33572C43direct (N × H)
363. #3551C2×C43semidirect
364. #3022C2×C43semidirect
365. #3021C2×C43semidirect
366. #3018C2×C43semidirect
367. #2204C2×C43semidirect
368. #2203C2×C43semidirect
369. #2135C2×C43semidirect
370. #2134C2×C43semidirect
371. #2132C2×C43semidirect
384. #563C22×C43semidirect
386. #555C22×C43semidirect
399. #456C22×C43semidirect
400. #456C22×C43semidirect
404. #454C22×C43semidirect
413. #356C22×C43semidirect
414. #356C22×C43semidirect
415. #355C22×C43semidirect
416. #355C22×C43semidirect
417. C43#33572direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#35512
C43×#30222
C43×#30212
C43×#30182
C43×#22042
C43×#22032
C43×#21352
C43×#21342
C43×#21322
#3357243