Finite Group Databasebeta

← C43×#28588 #24948605

Subgroups — C43×#28588 #24948605

Order 11008.

836 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#470C211yesmaximal, characteristic
2C2×C43×#467C211yesmaximal, characteristic
3C43×#2621C211yesmaximal, characteristic
4C43×#2323C211yesmaximal, characteristic
5C43×#2085C211yesmaximal, characteristic, complemented
6C43×#2074C211yesmaximal, characteristic, complemented
7C43×#2043C211yesmaximal, characteristic, complemented
8C43×#2016C211yesmaximal, characteristic, complemented
9C43×#1928C211yesmaximal, characteristic, complemented
10C43×#1927C211yesmaximal, characteristic, complemented
11C43×#1894C211yesmaximal, characteristic
12C43×#1892C211yesmaximal, characteristic
13C43×#1878C211yesmaximal, characteristic, complemented
14C43×#1878C211yesmaximal, characteristic, complemented
15C43×#1729C211yesmaximal, characteristic
16C22×Q16×C43C2211yescharacteristic
17C22×Q16×C43C2211yescharacteristic
18C22×M16×C43C2211yescharacteristic
19C23×C8×C43C2211yescharacteristic
20C2×C4⋊Q8×C43C2211yescharacteristic
21C2×C22⋊Q8×C43C2211yescharacteristic
22C2×C22⋊Q8×C43C2211yescharacteristic
23C2×C22⋊Q8×C43C2211yescharacteristic
24C2×C4×Q8×C43C2211yescharacteristic
25C2×#117×C43C2211yescharacteristic
26C43×#470—24no—
27C43×#467—24no—
28C2×#107×C43C2211yescharacteristic
29C2×#106×C43C2211yescharacteristic
30C2×#103×C43C2211yescharacteristic
31C2×#103×C43C2211yescharacteristic
32C2×#103×C43C2211yescharacteristic
33C2×#103×C43C2211yescharacteristic
34C2×#103×C43C2211yescharacteristic
35C2×#103×C43C2211yescharacteristic
36C2×#103×C43C2211yescharacteristic
37C2×#103×C43C2211yescharacteristic
38C43×#398—21no—
39C43×#398—21no—
40C43×#397—21no—
41C43×#397—21no—
42C43×#391C2211yescharacteristic
43C43×#391C2211yescharacteristic
44C43×#391C2211yescharacteristic
45C43×#389—21no—
46C43×#389C2211yescharacteristic
47C43×#388—21no—
48C43×#388—21no—
49C43×#387—21no—
50C43×#382C2211yescharacteristic
51C43×#380C2211yescharacteristic
52C4×C4⋊C4×C43C2211yescharacteristic
53C43×#340C2211yescharacteristic
54C43×#340C2211yescharacteristic
55C43×#340C2211yescharacteristic
56C43×#340C2211yescharacteristic
57C43×#336C2211yescharacteristic
58C43×#336C2211yescharacteristic
59C43×#336C2211yescharacteristic
60C43×#336C2211yescharacteristic
61C22×Q8×C43C2311yescharacteristic
62C22×Q8×C43C2311yescharacteristic
63C22×Q8×C43C2311yescharacteristic
64C23×C4×C43C2311yescharacteristic
65C2×Q16×C43—22no—
66C2×Q16×C43—22no—
67C2×Q16×C43—22no—
68C2×Q16×C43—22no—
69C2×Q16×C43—41no—
70C2×Q16×C43—41no—
71C2×M16×C43—22no—
72C2×M16×C43—22no—
73C2×M16×C43—41no—
74C22×C8×C43—22no—
75C22×C8×C43—22no—
76C22×C8×C43—41no—
77C22×C8×C43C2311yescharacteristic
78C22×C8×C43C2311yescharacteristic
79C22×C8×C43C2311yescharacteristic
80C22×C8×C43C2311yescharacteristic
81C4⋊Q8×C43—41no—
82C4⋊Q8×C43—41no—
83C22⋊Q8×C43—22no—
84C22⋊Q8×C43—22no—
85C22⋊Q8×C43—22no—
86C22⋊Q8×C43—22no—
87C22⋊Q8×C43—22no—
88C22⋊Q8×C43D414yes—
89C4×Q8×C43—41no—
90C4×Q8×C43—41no—
91#117×C43—41no—
92#117×C43—41no—
93C2×C4⋊C4×C43—21no—
94C2×C4⋊C4×C43—21no—
95C2×C4⋊C4×C43—21no—
96C2×C4⋊C4×C43—21no—
97C2×C4⋊C4×C43—21no—
98C2×C4⋊C4×C43—21no—
99C2×C4⋊C4×C43—21no—
100C2×C4⋊C4×C43D411yescharacteristic
101C2×C4⋊C4×C43D411yescharacteristic
102C2×C4⋊C4×C43C2311yescharacteristic
103C2×C4⋊C4×C43C2311yescharacteristic
104C2×C4⋊C4×C43C2311yescharacteristic
105C2×C4⋊C4×C43C2311yescharacteristic
106C2×C4⋊C4×C43C2311yescharacteristic
107C2×C22⋊C4×C43—21no—
108C2×C22⋊C4×C43—21no—
109C2×C22⋊C4×C43—21no—
110C2×C22⋊C4×C43—21no—
111C2×C22⋊C4×C43D411yescharacteristic
112C2×C22⋊C4×C43D411yescharacteristic
113C2×C42×C43—21no—
114C2×C42×C43—21no—
115C2×C42×C43C2311yescharacteristic
116C2×C42×C43C2311yescharacteristic
117#107×C43—22no—
118#106×C43—22no—
119#103×C43—22no—
120#103×C43—22no—
121#103×C43—22no—
122#103×C43—22no—
123#103×C43—22no—
124#103×C43—22no—
125#103×C43—41no—
126#103×C43—41no—
127#95×C43—21no—
128#95×C43—21no—
129#95×C43—21no—
130#95×C43—21no—
131#95×C43—21no—
132#95×C43—21no—
133#95×C43—21no—
134#95×C43—21no—
135#95×C43—21no—
136#95×C43—21no—
137#95×C43—21no—
138C24×C43C2×D411yescharacteristic
139C2×Q8×C43—21no—
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
153C2×Q8×C43—21no—
154C2×Q8×C43—21no—
155C2×Q8×C43—21no—
156C2×Q8×C43C2×D412yes—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43—21no—
161C22×C4×C43—21no—
162C22×C4×C43—21no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—21no—
167C22×C4×C43—21no—
168C22×C4×C43—21no—
169C22×C4×C43C2×D412yes—
170C22×C4×C43C2×D411yescharacteristic
171C22×C4×C43C2×D411yescharacteristic
172C22×C4×C43C2×D411yescharacteristic
173C22×C4×C43C2×D411yescharacteristic
174C22×C4×C43C2×D411yescharacteristic
175C22×C4×C43#4112yes—
176C22×C4×C43C2411yescharacteristic
177Q16×C43—44no—
178Q16×C43—44no—
179M16×C43—44no—
180C2×C8×C43—21no—
181C2×C8×C43—21no—
182C2×C8×C43—21no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—44no—
191C2×C8×C43#4112yes—
192C2×C8×C43#4112yes—
193C4⋊C4×C43—24no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—41no—
204C4⋊C4×C43—41no—
205C4⋊C4×C43—42no—
206C4⋊C4×C43—42no—
207C4⋊C4×C43—42no—
208C4⋊C4×C43—42no—
209C4⋊C4×C43—42no—
210C4⋊C4×C43—81no—
211C4⋊C4×C43C2×D412yes—
212C22⋊C4×C43—24no—
213C22⋊C4×C43—41no—
214C22⋊C4×C43—41no—
215C22⋊C4×C43—42no—
216C22⋊C4×C43—42no—
217C22⋊C4×C43—81no—
218C42×C43—21no—
219C42×C43—21no—
220C42×C43—21no—
221C42×C43—21no—
222C42×C43—42no—
223C42×C43—81no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—21no—
229C23×C43—21no—
230C23×C43#12112yes—
231C23×C43C22×D411yescharacteristic
232Q8×C43—22no—
233Q8×C43—22no—
234Q8×C43—41no—
235Q8×C43—41no—
236Q8×C43—41no—
237Q8×C43—41no—
238Q8×C43—41no—
239Q8×C43—41no—
240Q8×C43—41no—
241Q8×C43—41no—
242Q8×C43—41no—
243Q8×C43—41no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—22no—
247C2×C4×C43—22no—
248C2×C4×C43—22no—
249C2×C4×C43—22no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—41no—
281C2×C4×C43—41no—
282C2×C4×C43—41no—
283C2×C4×C43—41no—
284C2×C4×C43—41no—
285C2×C4×C43—41no—
286C2×C4×C43#12112yes—
287C2×C4×C43C22×D411yescharacteristic
288C2×C4×C43C2×#4111yescharacteristic
289C2×C4×C43C2×#4111yescharacteristic
290C2×C4×C43C2×#4111yescharacteristic
291C2×C4×C43H(5,𝔽2)11yescharacteristic
292C2×C4×C43H(5,𝔽2)11yescharacteristic
293C8×C43—22no—
294C8×C43—22no—
295C8×C43—41no—
296C8×C43—41no—
297#28588C4311yesmaximal, characteristic, direct product factor, Sylow
298C22×C43—22no—
299C22×C43—22no—
300C22×C43—22no—
301C22×C43—41no—
302C22×C43—41no—
303C22×C43—41no—
304C22×C43—41no—
305C22×C43C2×#12111yescharacteristic
306C22×C43#53211yescharacteristic
307C22×C43#53411yescharacteristic
308C22×C43#57711yescharacteristic
309C22×C43#57811yescharacteristic
310C22×C43#57811yescharacteristic
311C22×C43#57811yescharacteristic
312C4×C43—22no—
313C4×C43—41no—
314C4×C43—41no—
315C4×C43—41no—
316C4×C43—41no—
317C4×C43—42no—
318C4×C43—42no—
319C4×C43—81no—
320C4×C43—81no—
321C4×C43—81no—
322C4×C43—81no—
323C4×C43—81no—
324C4×C43—81no—
325C4×C43#54611yescharacteristic
326C4×C43#54611yescharacteristic
327C4×C43#55311yescharacteristic
328C4×C43#55311yescharacteristic
329C2×#470C2×C4311yescharacteristic
330C2×#467C2×C4311yescharacteristic
331#2621C2×C4311yescharacteristic
332#2323C2×C4311yescharacteristic
333#2085C2×C4311yescharacteristic, complemented
334#2074C2×C4311yescharacteristic, complemented
335#2043C2×C4311yescharacteristic, complemented
336#2016C2×C4311yescharacteristic, complemented
337#1928C2×C4311yescharacteristic, complemented
338#1927C2×C4311yescharacteristic, complemented
339#1894C2×C4311yescharacteristic
340#1892C2×C4311yescharacteristic
341#1878C2×C4311yescharacteristic, complemented
342#1878C2×C4311yescharacteristic, complemented
343#1729C2×C4311yescharacteristic
344C2×C43—42no—
345C2×C43#254311yescharacteristic
346C2×C43#304411yescharacteristic
347C2×C43#304611yescharacteristic
348C2×C43#317711yescharacteristic
349C2×C43#317811yescharacteristic
350C2×C43#320111yescharacteristic
351C2×C43#320211yescharacteristic
352C22×Q16C22×C4311yescharacteristic
353C22×Q16C22×C4311yescharacteristic
354C22×M16C22×C4311yescharacteristic
355C23×C8C22×C4311yescharacteristic
356C2×C4⋊Q8C22×C4311yescharacteristic
357C2×C22⋊Q8C22×C4311yescharacteristic
358C2×C22⋊Q8C22×C4311yescharacteristic
359C2×C22⋊Q8C22×C4311yescharacteristic
360C2×C4×Q8C22×C4311yescharacteristic
361C2×#117C22×C4311yescharacteristic
362#470—24no—
363#467—24no—
364C2×#107C22×C4311yescharacteristic
365C2×#106C22×C4311yescharacteristic
366C2×#103C22×C4311yescharacteristic
367C2×#103C22×C4311yescharacteristic
368C2×#103C22×C4311yescharacteristic
369C2×#103C22×C4311yescharacteristic
370C2×#103C22×C4311yescharacteristic
371C2×#103C22×C4311yescharacteristic
372C2×#103C22×C4311yescharacteristic
373C2×#103C22×C4311yescharacteristic
374#398—21no—
375#398—21no—
376#397—21no—
377#397—21no—
378#391C22×C4311yescharacteristic
379#391C22×C4311yescharacteristic
380#391C22×C4311yescharacteristic
381#389—21no—
382#389C22×C4311yescharacteristic
383#388—21no—
384#388—21no—
385#387—21no—
386#382C22×C4311yescharacteristic
387#380C22×C4311yescharacteristic
388C4×C4⋊C4C22×C4311yescharacteristic
389#340C22×C4311yescharacteristic
390#340C22×C4311yescharacteristic
391#340C22×C4311yescharacteristic
392#340C22×C4311yescharacteristic
393#336C22×C4311yescharacteristic
394#336C22×C4311yescharacteristic
395#336C22×C4311yescharacteristic
396#336C22×C4311yescharacteristic
397C43#2858811yescharacteristic, direct product factor, Sylow
398C22×Q8C23×C4311yescharacteristic
399C22×Q8C23×C4311yescharacteristic
400C22×Q8C23×C4311yescharacteristic
401C23×C4C23×C4311yescharacteristic
402C2×Q16—22no—
403C2×Q16—22no—
404C2×Q16—22no—
405C2×Q16—22no—
406C2×Q16—41no—
407C2×Q16—41no—
408C2×M16—22no—
409C2×M16—22no—
410C2×M16—41no—
411C22×C8—22no—
412C22×C8—22no—
413C22×C8—41no—
414C22×C8C23×C4311yescharacteristic
415C22×C8C23×C4311yescharacteristic
416C22×C8C23×C4311yescharacteristic
417C22×C8C23×C4311yescharacteristic
418C4⋊Q8—41no—
419C4⋊Q8—41no—
420C22⋊Q8—22no—
421C22⋊Q8—22no—
422C22⋊Q8—22no—
423C22⋊Q8—22no—
424C22⋊Q8—22no—
425C22⋊Q8D4×C4314yes—
426C4×Q8—41no—
427C4×Q8—41no—
428#117—41no—
429#117—41no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4D4×C4311yescharacteristic
438C2×C4⋊C4D4×C4311yescharacteristic
439C2×C4⋊C4C23×C4311yescharacteristic
440C2×C4⋊C4C23×C4311yescharacteristic
441C2×C4⋊C4C23×C4311yescharacteristic
442C2×C4⋊C4C23×C4311yescharacteristic
443C2×C4⋊C4C23×C4311yescharacteristic
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4D4×C4311yescharacteristic
449C2×C22⋊C4D4×C4311yescharacteristic
450C2×C42—21no—
451C2×C42—21no—
452C2×C42C23×C4311yescharacteristic
453C2×C42C23×C4311yescharacteristic
454#107—22no—
455#106—22no—
456#103—22no—
457#103—22no—
458#103—22no—
459#103—22no—
460#103—22no—
461#103—22no—
462#103—41no—
463#103—41no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—21no—
475C24C2×D4×C4311yescharacteristic
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8C2×D4×C4312yes—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4C2×D4×C4311yescharacteristic
507C22×C4C2×D4×C4311yescharacteristic
508C22×C4C2×D4×C4311yescharacteristic
509C22×C4C2×D4×C4311yescharacteristic
510C22×C4C2×D4×C4311yescharacteristic
511C22×C4C2×D4×C4312yes—
512C22×C4#41×C4312yes—
513C22×C4C24×C4311yescharacteristic
514Q16—44no—
515Q16—44no—
516M16—44no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—44no—
528C2×C8#41×C4312yes—
529C2×C8#41×C4312yes—
530C4⋊C4—24no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—41no—
541C4⋊C4—41no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—81no—
548C4⋊C4C2×D4×C4312yes—
549C22⋊C4—24no—
550C22⋊C4—41no—
551C22⋊C4—41no—
552C22⋊C4—42no—
553C22⋊C4—42no—
554C22⋊C4—81no—
555C42—21no—
556C42—21no—
557C42—21no—
558C42—21no—
559C42—42no—
560C42—81no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23#121×C4312yes—
568C23C22×D4×C4311yescharacteristic
569Q8—22no—
570Q8—22no—
571Q8—41no—
572Q8—41no—
573Q8—41no—
574Q8—41no—
575Q8—41no—
576Q8—41no—
577Q8—41no—
578Q8—41no—
579Q8—41no—
580Q8—41no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4#121×C4312yes—
624C2×C4C22×D4×C4311yescharacteristic
625C2×C4C2×#41×C4311yescharacteristic
626C2×C4C2×#41×C4311yescharacteristic
627C2×C4C2×#41×C4311yescharacteristic
628C2×C4H(5,𝔽2)×C4311yescharacteristic
629C2×C4H(5,𝔽2)×C4311yescharacteristic
630C8—22no—
631C8—22no—
632C8—41no—
633C8—41no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22C2×#121×C4311yescharacteristic
642C22C43×#53211yescharacteristic
643C22C43×#53411yescharacteristic
644C22C43×#57711yescharacteristic
645C22C43×#57811yescharacteristic
646C22C43×#57811yescharacteristic
647C22C43×#57811yescharacteristic
648C4—22no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—42no—
654C4—42no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4—81no—
661C4C43×#54611yescharacteristic
662C4C43×#54611yescharacteristic
663C4C43×#55311yescharacteristic
664C4C43×#55311yescharacteristic
665C2—42no—
666C2C43×#254311yescharacteristic
667C2C43×#304411yescharacteristic
668C2C43×#304611yescharacteristic
669C2C43×#317711yescharacteristic
670C2C43×#317811yescharacteristic
671C2C43×#320111yescharacteristic
672C2C43×#320211yescharacteristic
subgroupG/H
center, socleC23×C43C22×D4
commutator, Frattini, cosocleC22×C4C24×C43
prime radicalC24×C43C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C43 ◁ C2×#117×C43 ◁ G

Complements

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

NH ≅ G/Ntype
5. C43×#2085C2semidirect
6. C43×#2074C2semidirect
7. C43×#2043C2semidirect
8. C43×#2016C2semidirect
9. C43×#1928C2semidirect
10. C43×#1927C2semidirect
13. C43×#1878C2semidirect
14. C43×#1878C2semidirect
297. #28588C43direct (N × H)
333. #2085C2×C43semidirect
334. #2074C2×C43semidirect
335. #2043C2×C43semidirect
336. #2016C2×C43semidirect
337. #1928C2×C43semidirect
338. #1927C2×C43semidirect
341. #1878C2×C43semidirect
342. #1878C2×C43semidirect
397. C43#28588direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C43×#4702
C2×C43×#4672
C43×#26212
C43×#23232
C43×#20852
C43×#20742
C43×#20432
C43×#20162
C43×#19282
C43×#19272
C43×#18942
C43×#18922
C43×#18782
C43×#17292
#2858843