Finite Group Databasebeta

← C43×#26346 #24946363

Subgroups — C43×#26346 #24946363

Order 11008.

838 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#479C211yesmaximal, characteristic, complemented
2C22×#106×C43C211yesmaximal, characteristic
3C43×#2442C211yesmaximal, characteristic
4C43×#2360C211yesmaximal, characteristic
5C43×#2097C211yesmaximal, characteristic, complemented
6C43×#2088C211yesmaximal, characteristic, complemented
7C43×#2066C211yesmaximal, characteristic, complemented
8C43×#2059C211yesmaximal, characteristic, complemented
9C43×#1949C211yesmaximal, characteristic, complemented
10C43×#1920C211yesmaximal, characteristic, complemented
11C43×#1892C211yesmaximal, characteristic
12C43×#1872C211yesmaximal, characteristic
13C43×#1865C211yesmaximal, characteristic, complemented
14C43×#1852C211yesmaximal, characteristic
15C43×#1850C211yesmaximal, characteristic
16C23×C8×C43C2211yescharacteristic
17C2×#125×C43C2211yescharacteristic
18C2×C22⋊Q8×C43C2211yescharacteristic
19C2×C4×Q8×C43C2211yescharacteristic
20C22×C4⋊C4×C43C2211yescharacteristic
21C22×C4⋊C4×C43C2211yescharacteristic
22C43×#479—24no—
23C2×#107×C43C2211yescharacteristic
24C2×#107×C43C2211yescharacteristic
25C2×#106×C43—24no—
26C2×#106×C43C2211yescharacteristic
27C2×#106×C43C2211yescharacteristic
28C2×#106×C43C2211yescharacteristic
29C2×#106×C43C2211yescharacteristic
30C2×C4⋊C8×C43C2211yescharacteristic
31C2×C4⋊C8×C43C2211yescharacteristic
32C2×#103×C43C2211yescharacteristic
33C2×#103×C43C2211yescharacteristic
34C2×#103×C43C2211yescharacteristic
35C2×#103×C43C2211yescharacteristic
36C2×C22⋊C8×C43C2211yescharacteristic
37C43×#400—21no—
38C43×#398—21no—
39C43×#391C2211yescharacteristic
40C43×#389—21no—
41C43×#389C2211yescharacteristic
42C43×#389C2211yescharacteristic
43C43×#389C2211yescharacteristic
44C43×#387—21no—
45C43×#385—21no—
46C43×#385—21no—
47C43×#382C2211yescharacteristic
48C43×#380—21no—
49C43×#380C2211yescharacteristic
50C4×C4⋊C4×C43C2211yescharacteristic
51C4×C22⋊C4×C43—21no—
52C4×C22⋊C4×C43C2211yescharacteristic
53C43×#340C2211yescharacteristic
54C43×#340C2211yescharacteristic
55C43×#340C2211yescharacteristic
56C43×#340C2211yescharacteristic
57C43×#340C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C43×#336C2211yescharacteristic
60C43×#336C2211yescharacteristic
61C22×Q8×C43C2311yescharacteristic
62C23×C4×C43—21no—
63C23×C4×C43—21no—
64C23×C4×C43C2311yescharacteristic
65C22×C8×C43—22no—
66C22×C8×C43—22no—
67C22×C8×C43—22no—
68C22×C8×C43C2311yescharacteristic
69C22×C8×C43C2311yescharacteristic
70C22×C8×C43C2311yescharacteristic
71C22×C8×C43C2311yescharacteristic
72#125×C43—22no—
73#125×C43—41no—
74C22⋊Q8×C43—22no—
75C22⋊Q8×C43Q814yes—
76C4×Q8×C43—22no—
77C4×Q8×C43—41no—
78C2×C4⋊C4×C43—21no—
79C2×C4⋊C4×C43—22no—
80C2×C4⋊C4×C43—22no—
81C2×C4⋊C4×C43—21no—
82C2×C4⋊C4×C43—21no—
83C2×C4⋊C4×C43—21no—
84C2×C4⋊C4×C43—21no—
85C2×C4⋊C4×C43—21no—
86C2×C4⋊C4×C43—21no—
87C2×C4⋊C4×C43—21no—
88C2×C4⋊C4×C43—21no—
89C2×C4⋊C4×C43—41no—
90C2×C4⋊C4×C43—41no—
91C2×C4⋊C4×C43C2311yescharacteristic
92C2×C4⋊C4×C43C2311yescharacteristic
93C2×C4⋊C4×C43C2311yescharacteristic
94C2×C4⋊C4×C43C2311yescharacteristic
95C2×C4⋊C4×C43C2311yescharacteristic
96C2×C4⋊C4×C43C2311yescharacteristic
97C2×C4⋊C4×C43C2311yescharacteristic
98C2×C22⋊C4×C43—21no—
99C2×C22⋊C4×C43—21no—
100C2×C22⋊C4×C43D411yescharacteristic
101C2×C22⋊C4×C43D411yescharacteristic
102C2×C42×C43—21no—
103C2×C42×C43—21no—
104C2×C42×C43C2311yescharacteristic
105C2×C42×C43C2311yescharacteristic
106#107×C43—22no—
107#107×C43—41no—
108#106×C43—22no—
109#106×C43—22no—
110#106×C43—22no—
111#106×C43D414yes—
112C4⋊C8×C43—22no—
113C4⋊C8×C43—22no—
114#103×C43—22no—
115#103×C43—22no—
116#103×C43—22no—
117#103×C43—41no—
118C22⋊C8×C43—22no—
119#95×C43—21no—
120#95×C43—21no—
121#95×C43—21no—
122#95×C43—21no—
123#95×C43—21no—
124#95×C43—21no—
125#95×C43—21no—
126#95×C43—21no—
127#95×C43—21no—
128#95×C43D411yescharacteristic
129#95×C43D411yescharacteristic
130C24×C43C2×D411yescharacteristic
131C2×Q8×C43—21no—
132C2×Q8×C43—21no—
133C2×Q8×C43—21no—
134C2×Q8×C43—21no—
135C2×Q8×C43—21no—
136C2×Q8×C43C2×Q812yes—
137C22×C4×C43—21no—
138C22×C4×C43—21no—
139C22×C4×C43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—42no—
150C22×C4×C43—42no—
151C22×C4×C43—42no—
152C22×C4×C43—42no—
153C22×C4×C43—81no—
154C22×C4×C43—81no—
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2×Q812yes—
161C22×C4×C43#4112yes—
162C22×C4×C43C2411yescharacteristic
163C2×C8×C43—28no—
164C2×C8×C43—21no—
165C2×C8×C43—21no—
166C2×C8×C43—21no—
167C2×C8×C43—21no—
168C2×C8×C43—21no—
169C2×C8×C43—21no—
170C2×C8×C43—21no—
171C2×C8×C43—21no—
172C2×C8×C43—21no—
173C2×C8×C43—21no—
174C2×C8×C43C2×D412yes—
175C2×C8×C43#4112yes—
176C4⋊C4×C43—24no—
177C4⋊C4×C43—21no—
178C4⋊C4×C43—21no—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—21no—
181C4⋊C4×C43—21no—
182C4⋊C4×C43—21no—
183C4⋊C4×C43—21no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—21no—
186C4⋊C4×C43—21no—
187C4⋊C4×C43—21no—
188C4⋊C4×C43—42no—
189C4⋊C4×C43—42no—
190C4⋊C4×C43—42no—
191C4⋊C4×C43—42no—
192C4⋊C4×C43—42no—
193C4⋊C4×C43—81no—
194C4⋊C4×C43—81no—
195C4⋊C4×C43—81no—
196C4⋊C4×C43C2×D412yes—
197C4⋊C4×C43C2×D412yes—
198C4⋊C4×C43C2×Q812yes—
199C22⋊C4×C43—24no—
200C22⋊C4×C43—22no—
201C22⋊C4×C43—22no—
202C22⋊C4×C43—42no—
203C42×C43—21no—
204C42×C43—21no—
205C42×C43—21no—
206C42×C43—21no—
207C42×C43—42no—
208C42×C43—81no—
209C23×C43—21no—
210C23×C43—21no—
211C23×C43—21no—
212C23×C43—21no—
213C23×C43C22⋊Q812yes—
214C23×C43#13512yes—
215C23×C43#13712yes—
216C23×C43C22×D411yescharacteristic
217Q8×C43—22no—
218Q8×C43—22no—
219Q8×C43—41no—
220Q8×C43—41no—
221C2×C4×C43—21no—
222C2×C4×C43—21no—
223C2×C4×C43—22no—
224C2×C4×C43—22no—
225C2×C4×C43—22no—
226C2×C4×C43—22no—
227C2×C4×C43—22no—
228C2×C4×C43—22no—
229C2×C4×C43—21no—
230C2×C4×C43—21no—
231C2×C4×C43—22no—
232C2×C4×C43—22no—
233C2×C4×C43—21no—
234C2×C4×C43—21no—
235C2×C4×C43—21no—
236C2×C4×C43—21no—
237C2×C4×C43—21no—
238C2×C4×C43—21no—
239C2×C4×C43—21no—
240C2×C4×C43—21no—
241C2×C4×C43—21no—
242C2×C4×C43—21no—
243C2×C4×C43—41no—
244C2×C4×C43—41no—
245C2×C4×C43—41no—
246C2×C4×C43—41no—
247C2×C4×C43—41no—
248C2×C4×C43—41no—
249C2×C4×C43—41no—
250C2×C4×C43—41no—
251C2×C4×C43—41no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—84no—
264C2×C4×C43—84no—
265C2×C4×C43C22⋊Q812yes—
266C2×C4×C43C22×D411yescharacteristic
267C2×C4×C43C22×Q811yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C2×C4×C43C2×#4111yescharacteristic
270C2×C4×C43H(5,𝔽2)11yescharacteristic
271C2×C4×C432−1+411yescharacteristic
272C8×C43—22no—
273C8×C43—22no—
274C8×C43—41no—
275C8×C43—41no—
276#26346C4311yesmaximal, characteristic, direct product factor, Sylow
277C22×C43—22no—
278C22×C43—22no—
279C22×C43—22no—
280C22×C43—22no—
281C22×C43—22no—
282C22×C43—22no—
283C22×C43#47914yescomplemented
284C22×C43C2×C22⋊Q811yescharacteristic
285C22×C43D4211yescharacteristic
286C22×C43#54711yescharacteristic
287C22×C43C2×#13511yescharacteristic
288C22×C43C2×#13711yescharacteristic
289C22×C43#57711yescharacteristic
290C22×C43#57711yescharacteristic
291C4×C43—22no—
292C4×C43—41no—
293C4×C43—42no—
294C4×C43—41no—
295C4×C43—42no—
296C4×C43—41no—
297C4×C43—42no—
298C4×C43—41no—
299C4×C43—42no—
300C4×C43—81no—
301C4×C43—81no—
302C4×C43—81no—
303C4×C43—81no—
304C4×C43#52511yescharacteristic
305C4×C43#53911yescharacteristic
306C4×C43D4×Q811yescharacteristic
307C4×C43#55411yescharacteristic
308C2×#479C2×C4311yescharacteristic, complemented
309C22×#106C2×C4311yescharacteristic
310#2442C2×C4311yescharacteristic
311#2360C2×C4311yescharacteristic
312#2097C2×C4311yescharacteristic, complemented
313#2088C2×C4311yescharacteristic, complemented
314#2066C2×C4311yescharacteristic, complemented
315#2059C2×C4311yescharacteristic, complemented
316#1949C2×C4311yescharacteristic, complemented
317#1920C2×C4311yescharacteristic, complemented
318#1892C2×C4311yescharacteristic
319#1872C2×C4311yescharacteristic
320#1865C2×C4311yescharacteristic, complemented
321#1852C2×C4311yescharacteristic
322#1850C2×C4311yescharacteristic
323C2×C43—24no—
324C2×C43#244911yescharacteristic
325C2×C43C2×#47911yescharacteristic
326C2×C43#308411yescharacteristic
327C2×C43#326611yescharacteristic
328C2×C43#328211yescharacteristic
329C2×C43#333711yescharacteristic
330C2×C43#334411yescharacteristic
331C23×C8C22×C4311yescharacteristic
332C2×#125C22×C4311yescharacteristic
333C2×C22⋊Q8C22×C4311yescharacteristic
334C2×C4×Q8C22×C4311yescharacteristic
335C22×C4⋊C4C22×C4311yescharacteristic
336C22×C4⋊C4C22×C4311yescharacteristic
337#479—24no—
338C2×#107C22×C4311yescharacteristic
339C2×#107C22×C4311yescharacteristic
340C2×#106—24no—
341C2×#106C22×C4311yescharacteristic
342C2×#106C22×C4311yescharacteristic
343C2×#106C22×C4311yescharacteristic
344C2×#106C22×C4311yescharacteristic
345C2×C4⋊C8C22×C4311yescharacteristic
346C2×C4⋊C8C22×C4311yescharacteristic
347C2×#103C22×C4311yescharacteristic
348C2×#103C22×C4311yescharacteristic
349C2×#103C22×C4311yescharacteristic
350C2×#103C22×C4311yescharacteristic
351C2×C22⋊C8C22×C4311yescharacteristic
352#400—21no—
353#398—21no—
354#391C22×C4311yescharacteristic
355#389—21no—
356#389C22×C4311yescharacteristic
357#389C22×C4311yescharacteristic
358#389C22×C4311yescharacteristic
359#387—21no—
360#385—21no—
361#385—21no—
362#382C22×C4311yescharacteristic
363#380—21no—
364#380C22×C4311yescharacteristic
365C4×C4⋊C4C22×C4311yescharacteristic
366C4×C22⋊C4—21no—
367C4×C22⋊C4C22×C4311yescharacteristic
368#340C22×C4311yescharacteristic
369#340C22×C4311yescharacteristic
370#340C22×C4311yescharacteristic
371#340C22×C4311yescharacteristic
372#340C22×C4311yescharacteristic
373#340C22×C4311yescharacteristic
374#336C22×C4311yescharacteristic
375#336C22×C4311yescharacteristic
376C43#2634611yescharacteristic, direct product factor, Sylow
377C22×Q8C23×C4311yescharacteristic
378C23×C4—21no—
379C23×C4—21no—
380C23×C4C23×C4311yescharacteristic
381C22×C8—22no—
382C22×C8—22no—
383C22×C8—22no—
384C22×C8C23×C4311yescharacteristic
385C22×C8C23×C4311yescharacteristic
386C22×C8C23×C4311yescharacteristic
387C22×C8C23×C4311yescharacteristic
388#125—22no—
389#125—41no—
390C22⋊Q8—22no—
391C22⋊Q8Q8×C4314yes—
392C4×Q8—22no—
393C4×Q8—41no—
394C2×C4⋊C4—21no—
395C2×C4⋊C4—22no—
396C2×C4⋊C4—22no—
397C2×C4⋊C4—21no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4—21no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—41no—
406C2×C4⋊C4—41no—
407C2×C4⋊C4C23×C4311yescharacteristic
408C2×C4⋊C4C23×C4311yescharacteristic
409C2×C4⋊C4C23×C4311yescharacteristic
410C2×C4⋊C4C23×C4311yescharacteristic
411C2×C4⋊C4C23×C4311yescharacteristic
412C2×C4⋊C4C23×C4311yescharacteristic
413C2×C4⋊C4C23×C4311yescharacteristic
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C22⋊C4D4×C4311yescharacteristic
417C2×C22⋊C4D4×C4311yescharacteristic
418C2×C42—21no—
419C2×C42—21no—
420C2×C42C23×C4311yescharacteristic
421C2×C42C23×C4311yescharacteristic
422#107—22no—
423#107—41no—
424#106—22no—
425#106—22no—
426#106—22no—
427#106D4×C4314yes—
428C4⋊C8—22no—
429C4⋊C8—22no—
430#103—22no—
431#103—22no—
432#103—22no—
433#103—41no—
434C22⋊C8—22no—
435#95—21no—
436#95—21no—
437#95—21no—
438#95—21no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95D4×C4311yescharacteristic
445#95D4×C4311yescharacteristic
446C24C2×D4×C4311yescharacteristic
447C2×Q8—21no—
448C2×Q8—21no—
449C2×Q8—21no—
450C2×Q8—21no—
451C2×Q8—21no—
452C2×Q8C2×Q8×C4312yes—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—81no—
470C22×C4—81no—
471C22×C4C2×D4×C4311yescharacteristic
472C22×C4C2×D4×C4311yescharacteristic
473C22×C4C2×D4×C4311yescharacteristic
474C22×C4C2×D4×C4311yescharacteristic
475C22×C4C2×D4×C4311yescharacteristic
476C22×C4C2×Q8×C4312yes—
477C22×C4#41×C4312yes—
478C22×C4C24×C4311yescharacteristic
479C2×C8—28no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8C2×D4×C4312yes—
491C2×C8#41×C4312yes—
492C4⋊C4—24no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—42no—
505C4⋊C4—42no—
506C4⋊C4—42no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—81no—
510C4⋊C4—81no—
511C4⋊C4—81no—
512C4⋊C4C2×D4×C4312yes—
513C4⋊C4C2×D4×C4312yes—
514C4⋊C4C2×Q8×C4312yes—
515C22⋊C4—24no—
516C22⋊C4—22no—
517C22⋊C4—22no—
518C22⋊C4—42no—
519C42—21no—
520C42—21no—
521C42—21no—
522C42—21no—
523C42—42no—
524C42—81no—
525C23—21no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23C22⋊Q8×C4312yes—
530C23#135×C4312yes—
531C23#137×C4312yes—
532C23C22×D4×C4311yescharacteristic
533Q8—22no—
534Q8—22no—
535Q8—41no—
536Q8—41no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—22no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—84no—
580C2×C4—84no—
581C2×C4C22⋊Q8×C4312yes—
582C2×C4C22×D4×C4311yescharacteristic
583C2×C4C22×Q8×C4311yescharacteristic
584C2×C4C2×#41×C4311yescharacteristic
585C2×C4C2×#41×C4311yescharacteristic
586C2×C4H(5,𝔽2)×C4311yescharacteristic
587C2×C42−1+4×C4311yescharacteristic
588C8—22no—
589C8—22no—
590C8—41no—
591C8—41no—
592C22—22no—
593C22—22no—
594C22—22no—
595C22—22no—
596C22—22no—
597C22—22no—
598C22C43×#47914yescomplemented
599C22C2×C22⋊Q8×C4311yescharacteristic
600C22D42×C4311yescharacteristic
601C22C43×#54711yescharacteristic
602C22C2×#135×C4311yescharacteristic
603C22C2×#137×C4311yescharacteristic
604C22C43×#57711yescharacteristic
605C22C43×#57711yescharacteristic
606C4—22no—
607C4—41no—
608C4—42no—
609C4—41no—
610C4—42no—
611C4—41no—
612C4—42no—
613C4—41no—
614C4—42no—
615C4—81no—
616C4—81no—
617C4—81no—
618C4—81no—
619C4C43×#52511yescharacteristic
620C4C43×#53911yescharacteristic
621C4D4×Q8×C4311yescharacteristic
622C4C43×#55411yescharacteristic
623C2—24no—
624C2C43×#244911yescharacteristic
625C2C2×C43×#47911yescharacteristic
626C2C43×#308411yescharacteristic
627C2C43×#326611yescharacteristic
628C2C43×#328211yescharacteristic
629C2C43×#333711yescharacteristic
630C2C43×#334411yescharacteristic
subgroupG/H
center, socleC23×C43C22×D4
commutator, Frattini, cosocleC22×C4C24×C43
prime radicalC24×C43C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C43 ◁ C4×C22⋊C4×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C43×#479C2semidirect
5. C43×#2097C2semidirect
6. C43×#2088C2semidirect
7. C43×#2066C2semidirect
8. C43×#2059C2semidirect
9. C43×#1949C2semidirect
10. C43×#1920C2semidirect
13. C43×#1865C2semidirect
276. #26346C43direct (N × H)
283. C22×C43#479semidirect
308. C2×#479C2×C43semidirect
312. #2097C2×C43semidirect
313. #2088C2×C43semidirect
314. #2066C2×C43semidirect
315. #2059C2×C43semidirect
316. #1949C2×C43semidirect
317. #1920C2×C43semidirect
320. #1865C2×C43semidirect
376. C43#26346direct (N × H)
598. C22C43×#479semidirect

Maximal subgroups

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

subgroupindex
C2×C43×#4792
C22×#106×C432
C43×#24422
C43×#23602
C43×#20972
C43×#20882
C43×#20662
C43×#20592
C43×#19492
C43×#19202
C43×#18922
C43×#18722
C43×#18652
C43×#18522
C43×#18502
#2634643