Finite Group Databasebeta

← C43×#62855 #24982872

Subgroups — C43×#62855 #24982872

Order 11008.

7370 conjugacy classes of subgroups.

The subgroup lattice has 580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3510C218yesmaximal, complemented
2C43×#3508C218yesmaximal, complemented
3C43×#3506C218yesmaximal, complemented
4C43×#3494C2116yesmaximal, complemented
5C43×#3490C218yesmaximal, complemented
6C43×#3460C218yesmaximal, complemented
7C43×#3458C211yesmaximal, characteristic, complemented
8C43×#3449C211yesmaximal, characteristic, complemented
9C2×C43×#535C212yesmaximal, complemented
10C43×#3428C212yesmaximal, complemented
11C2×C43×#518C211yesmaximal, characteristic, complemented
12C22×#41×C43C2212yes—
13C23×D4×C43C2211yescharacteristic
14C43×#559C22132yescomplemented
15C43×#556C22116yescomplemented
16C43×#555C22116yescomplemented
17C43×#553C22132yescomplemented
18C43×#551C22164yescomplemented
19C43×#550C22116yescomplemented
20C43×#547C22116yescomplemented
21C43×#546C22164yescomplemented
22C43×#544C2214yescomplemented
23C43×#544C2218yescomplemented
24C43×#543C2214yes—
25C43×#542C22132yescomplemented
26C43×#540C22132yescomplemented
27C43×#538C22132yescomplemented
28C43×#537C2214yescomplemented
29C43×#536C2214yescomplemented
30C43×#535C2218yes—
31C43×#535C2218yes—
32C43×#535C2218yescomplemented
33C43×#535C2218yescomplemented
34C43×#535C2214yescomplemented
35C43×#534C2214yes—
36C43×#533C2214yescomplemented
37C43×#533C2218yescomplemented
38C43×#532C2214yescomplemented
39C43×#532C22132yescomplemented
40C2×#127×C43C2214yescomplemented
41C43×#529C22132yescomplemented
42C2×#124×C43C2214yescomplemented
43C43×#525C2218yescomplemented
44C43×#525C22132yescomplemented
45C2×#121×C43C2218yescomplemented
46C2×#120×C43C2218yes—
47C43×#520C2218yescomplemented
48C43×#520C2218yescomplemented
49C43×#519C2214yescomplemented
50C43×#518C2218yes—
51C43×#518C2218yescomplemented
52C43×#518C2218yescomplemented
53C43×#518C2214yescomplemented
54C4×#41×C43C2218yescomplemented
55C4×#41×C43C2218yescomplemented
56C2×C4×D4×C43C2214yescomplemented
57C2×C4×D4×C43C2214yescomplemented
58C2×#117×C43C2211yescharacteristic
59C2×#117×C43C2211yescharacteristic
60C2×#117×C43C2212yes—
61C2×#117×C43C2218yescomplemented
62C22×C22⋊C4×C43C2214yes—
63C25×C43C2312yes—
64C2×#41×C43—216no—
65C2×#41×C43C2314yes—
66C2×#41×C43C2314yes—
67C2×#41×C43C2314yes—
68C2×#41×C43C2314yes—
69C2×#41×C43C23132yescomplemented
70C22×Q8×C43C2312yes—
71C22×D4×C43—28no—
72C22×D4×C43C2312yes—
73C22×D4×C43C2312yes—
74C22×D4×C43C2314yes—
75C22×D4×C43C2314yes—
76C22×D4×C43C2314yes—
77C22×D4×C43C2312yes—
78C22×D4×C43C23116yes—
79C23×C4×C43C2314yes—
80C23×C4×C43C2318yes—
81C23×C4×C43C2311yescharacteristic
82C4⋊Q8×C43C23116yescomplemented
83C4⋊Q8×C43C2314yescomplemented
84C4⋊Q8×C43C2318yescomplemented
85#127×C43C23116yes—
86#127×C43C23116yes—
87#127×C43C2314yescomplemented
88#126×C43C23164yescomplemented
89#125×C43C23116yescomplemented
90#125×C43C2318yescomplemented
91#124×C43C23116yes—
92#124×C43C23116yes—
93#124×C43C2318yescomplemented
94#124×C43C23164yescomplemented
95#123×C43C23116yes—
96#123×C43C23164yescomplemented
97#123×C43C23164yescomplemented
98C22⋊Q8×C43C23116yes—
99C22⋊Q8×C43C23132yes—
100C22⋊Q8×C43C23116yescomplemented
101C22⋊Q8×C43C23132yescomplemented
102#121×C43C23132yes—
103#121×C43C23132yes—
104#121×C43C23116yes—
105#121×C43C23116yescomplemented
106#121×C43C23132yescomplemented
107#121×C43C23164yescomplemented
108#120×C43C23132yes—
109#120×C43C23132yes—
110#120×C43C23116yes—
111C4×Q8×C43C23116yescomplemented
112C4×Q8×C43C23116yescomplemented
113C4×Q8×C43C23116yescomplemented
114C4×D4×C43C23132yes—
115C4×D4×C43C23116yes—
116C4×D4×C43C23116yes—
117C4×D4×C43C23132yes—
118C4×D4×C43C23132yes—
119C4×D4×C43C23116yescomplemented
120C4×D4×C43C23116yescomplemented
121C4×D4×C43C23116yescomplemented
122C4×D4×C43C23164yescomplemented
123#117×C43C2314yes—
124#117×C43C2314yes—
125#117×C43C2314yes—
126#117×C43C2314yes—
127#117×C43C2314yes—
128#117×C43C2314yes—
129#117×C43C2314yes—
130#117×C43C2314yes—
131#117×C43C23116yes—
132#117×C43C23116yescomplemented
133#117×C43C23116yescomplemented
134#117×C43C23132yescomplemented
135C2×C4⋊C4×C43C2312yes—
136C2×C4⋊C4×C43C2312yes—
137C2×C4⋊C4×C43C2314yes—
138C2×C4⋊C4×C43C23116yescomplemented
139C2×C22⋊C4×C43C2312yes—
140C2×C22⋊C4×C43C2312yes—
141C2×C22⋊C4×C43C2318yes—
142C2×C22⋊C4×C43C23132yes—
143C2×C22⋊C4×C43C2314yes—
144C2×C22⋊C4×C43C23116yes—
145C2×C22⋊C4×C43C23116yes—
146C2×C42×C43C2312yes—
147C2×C42×C43C2312yes—
148C2×C42×C43C2314yes—
149C2×C42×C43C23116yescomplemented
150C24×C43—28no—
151C24×C43—84no—
152C24×C43C2418yes—
153C24×C43C2414yes—
154C24×C43C2414yes—
155C24×C43C2411yescharacteristic
156#41×C43—216no—
157#41×C43—216no—
158#41×C43—216no—
159#41×C43—216no—
160#41×C43—832no—
161C2×Q8×C43—28no—
162C2×Q8×C43C2414yes—
163C2×Q8×C43C2414yes—
164C2×Q8×C43C24116yes—
165C2×D4×C43—28no—
166C2×D4×C43—28no—
167C2×D4×C43—216no—
168C2×D4×C43—216no—
169C2×D4×C43—28no—
170C2×D4×C43—216no—
171C2×D4×C43—816no—
172C2×D4×C43C2418yes—
173C2×D4×C43C2418yes—
174C2×D4×C43C2414yes—
175C2×D4×C43C2418yes—
176C2×D4×C43C2414yes—
177C2×D4×C43C2414yes—
178C2×D4×C43C2414yes—
179C2×D4×C43C24164yes—
180C2×D4×C43C24116yes—
181C22×C4×C43—216no—
182C22×C4×C43—88no—
183C22×C4×C43#4118yescomplemented
184C22×C4×C43C2418yes—
185C22×C4×C43C2414yes—
186C22×C4×C43C2418yes—
187C22×C4×C43C2414yes—
188C22×C4×C43C2418yes—
189C22×C4×C43C2414yes—
190C22×C4×C43C24132yes—
191C22×C4×C43C24132yes—
192C22×C4×C43C2411yescharacteristic
193C22×C4×C43C2411yescharacteristic
194C22×C4×C43C2412yes—
195C22×C4×C43C2412yes—
196C4⋊C4×C43C2414yes—
197C4⋊C4×C43C2418yes—
198C4⋊C4×C43C2414yes—
199C4⋊C4×C43C2418yes—
200C4⋊C4×C43C2418yes—
201C4⋊C4×C43C24132yes—
202C4⋊C4×C43C24116yes—
203C4⋊C4×C43C24116yes—
204C4⋊C4×C43C24132yes—
205C22⋊C4×C43C2418yes—
206C22⋊C4×C43C2418yes—
207C22⋊C4×C43C2418yes—
208C22⋊C4×C43C24132yes—
209C22⋊C4×C43C2418yes—
210C22⋊C4×C43C24132yes—
211C22⋊C4×C43C24164yes—
212C22⋊C4×C43C24132yes—
213C42×C43C2418yes—
214C42×C43C2418yes—
215C42×C43C2414yes—
216C42×C43C2414yes—
217C42×C43C2418yes—
218C42×C43C24132yes—
219C23×C43—28no—
220C23×C43—28no—
221C23×C43—216no—
222C23×C43—48no—
223C23×C43—42no—
224C23×C43—48no—
225C23×C43—416no—
226C23×C43—816no—
227C23×C43C2×#4114yes—
228C23×C43C2518yes—
229C23×C43C2518yes—
230C23×C43C2512yes—
231C23×C43C2511yescharacteristic
232Q8×C43—28no—
233Q8×C43—28no—
234Q8×C43—416no—
235D4×C43—216no—
236D4×C43—216no—
237D4×C43—28no—
238D4×C43—216no—
239D4×C43—28no—
240D4×C43—28no—
241D4×C43—28no—
242D4×C43—464no—
243D4×C43—416no—
244C2×C4×C43—28no—
245C2×C4×C43—216no—
246C2×C4×C43—216no—
247C2×C4×C43—44no—
248C2×C4×C43—44no—
249C2×C4×C43—432no—
250C2×C4×C43—48no—
251C2×C4×C43—432no—
252C2×C4×C43C2×#4118yes—
253C2×C4×C43C2×#4118yes—
254C2×C4×C43C2×#4114yes—
255C2×C4×C43C2×#4114yes—
256C2×C4×C43C2518yes—
257C2×C4×C43C2518yes—
258C2×C4×C43C25116yes—
259C2×C4×C43C2518yes—
260C2×C4×C43C2511yescharacteristic
261C2×C4×C43C2512yes—
262C2×C4×C43C2511yescharacteristic
263#62855C4311yesmaximal, characteristic, direct product factor, Sylow
264C22×C43—24no—
265C22×C43—22no—
266C22×C43—28no—
267C22×C43—28no—
268C22×C43—216no—
269C22×C43—216no—
270C22×C43—44no—
271C22×C43—416no—
272C22×C43—88no—
273C22×C43—816no—
274C22×C43C22×#4114yes—
275C22×C43C22×#4112yes—
276C22×C43C2611yescharacteristic
277C4×C43—28no—
278C4×C43—28no—
279C4×C43—28no—
280C4×C43—216no—
281C4×C43C22×#4112yes—
282C4×C43C22×#4114yes—
283C4×C43C22×#4112yes—
284#3510C2×C4318yescomplemented
285#3508C2×C4318yescomplemented
286#3506C2×C4318yescomplemented
287#3494C2×C43116yescomplemented
288#3490C2×C4318yescomplemented
289#3460C2×C4318yescomplemented
290#3458C2×C4311yescharacteristic, complemented
291#3449C2×C4311yescharacteristic, complemented
292C2×#535C2×C4312yescomplemented
293#3428C2×C4312yescomplemented
294C2×#518C2×C4311yescharacteristic, complemented
295C2×C43—22no—
296C2×C43—24no—
297C2×C43—48no—
298C2×C43—48no—
299C2×C43C23×#4111yescharacteristic
300C2×C43H(7,𝔽2)12yes—
301C22×#41C22×C4312yes—
302C23×D4C22×C4311yescharacteristic
303#559C22×C43132yescomplemented
304#556C22×C43116yescomplemented
305#555C22×C43116yescomplemented
306#553C22×C43132yescomplemented
307#551C22×C43164yescomplemented
308#550C22×C43116yescomplemented
309#547C22×C43116yescomplemented
310#546C22×C43164yescomplemented
311#544C22×C4314yescomplemented
312#544C22×C4318yescomplemented
313#543C22×C4314yes—
314#542C22×C43132yescomplemented
315#540C22×C43132yescomplemented
316#538C22×C43132yescomplemented
317#537C22×C4314yescomplemented
318#536C22×C4314yescomplemented
319#535C22×C4318yes—
320#535C22×C4318yes—
321#535C22×C4318yescomplemented
322#535C22×C4318yescomplemented
323#535C22×C4314yescomplemented
324#534C22×C4314yes—
325#533C22×C4314yescomplemented
326#533C22×C4318yescomplemented
327#532C22×C4314yescomplemented
328#532C22×C43132yescomplemented
329C2×#127C22×C4314yescomplemented
330#529C22×C43132yescomplemented
331C2×#124C22×C4314yescomplemented
332#525C22×C4318yescomplemented
333#525C22×C43132yescomplemented
334C2×#121C22×C4318yescomplemented
335C2×#120C22×C4318yes—
336#520C22×C4318yescomplemented
337#520C22×C4318yescomplemented
338#519C22×C4314yescomplemented
339#518C22×C4318yes—
340#518C22×C4318yescomplemented
341#518C22×C4318yescomplemented
342#518C22×C4314yescomplemented
343C4×#41C22×C4318yescomplemented
344C4×#41C22×C4318yescomplemented
345C2×C4×D4C22×C4314yescomplemented
346C2×C4×D4C22×C4314yescomplemented
347C2×#117C22×C4311yescharacteristic
348C2×#117C22×C4311yescharacteristic
349C2×#117C22×C4312yes—
350C2×#117C22×C4318yescomplemented
351C22×C22⋊C4C22×C4314yes—
352C43#6285511yescharacteristic, direct product factor, Sylow
353C25C23×C4312yes—
354C2×#41—216no—
355C2×#41C23×C4314yes—
356C2×#41C23×C4314yes—
357C2×#41C23×C4314yes—
358C2×#41C23×C4314yes—
359C2×#41C23×C43132yescomplemented
360C22×Q8C23×C4312yes—
361C22×D4—28no—
362C22×D4C23×C4312yes—
363C22×D4C23×C4312yes—
364C22×D4C23×C4314yes—
365C22×D4C23×C4314yes—
366C22×D4C23×C4314yes—
367C22×D4C23×C4312yes—
368C22×D4C23×C43116yes—
369C23×C4C23×C4314yes—
370C23×C4C23×C4318yes—
371C23×C4C23×C4311yescharacteristic
372C4⋊Q8C23×C43116yescomplemented
373C4⋊Q8C23×C4314yescomplemented
374C4⋊Q8C23×C4318yescomplemented
375#127C23×C43116yes—
376#127C23×C43116yes—
377#127C23×C4314yescomplemented
378#126C23×C43164yescomplemented
379#125C23×C43116yescomplemented
380#125C23×C4318yescomplemented
381#124C23×C43116yes—
382#124C23×C43116yes—
383#124C23×C4318yescomplemented
384#124C23×C43164yescomplemented
385#123C23×C43116yes—
386#123C23×C43164yescomplemented
387#123C23×C43164yescomplemented
388C22⋊Q8C23×C43116yes—
389C22⋊Q8C23×C43132yes—
390C22⋊Q8C23×C43116yescomplemented
391C22⋊Q8C23×C43132yescomplemented
392#121C23×C43132yes—
393#121C23×C43132yes—
394#121C23×C43116yes—
395#121C23×C43116yescomplemented
396#121C23×C43132yescomplemented
397#121C23×C43164yescomplemented
398#120C23×C43132yes—
399#120C23×C43132yes—
400#120C23×C43116yes—
401C4×Q8C23×C43116yescomplemented
402C4×Q8C23×C43116yescomplemented
403C4×Q8C23×C43116yescomplemented
404C4×D4C23×C43132yes—
405C4×D4C23×C43116yes—
406C4×D4C23×C43116yes—
407C4×D4C23×C43132yes—
408C4×D4C23×C43132yes—
409C4×D4C23×C43116yescomplemented
410C4×D4C23×C43116yescomplemented
411C4×D4C23×C43116yescomplemented
412C4×D4C23×C43164yescomplemented
413#117C23×C4314yes—
414#117C23×C4314yes—
415#117C23×C4314yes—
416#117C23×C4314yes—
417#117C23×C4314yes—
418#117C23×C4314yes—
419#117C23×C4314yes—
420#117C23×C4314yes—
421#117C23×C43116yes—
422#117C23×C43116yescomplemented
423#117C23×C43116yescomplemented
424#117C23×C43132yescomplemented
425C2×C4⋊C4C23×C4312yes—
426C2×C4⋊C4C23×C4312yes—
427C2×C4⋊C4C23×C4314yes—
428C2×C4⋊C4C23×C43116yescomplemented
429C2×C22⋊C4C23×C4312yes—
430C2×C22⋊C4C23×C4312yes—
431C2×C22⋊C4C23×C4318yes—
432C2×C22⋊C4C23×C43132yes—
433C2×C22⋊C4C23×C4314yes—
434C2×C22⋊C4C23×C43116yes—
435C2×C22⋊C4C23×C43116yes—
436C2×C42C23×C4312yes—
437C2×C42C23×C4312yes—
438C2×C42C23×C4314yes—
439C2×C42C23×C43116yescomplemented
440C24—28no—
441C24—84no—
442C24C24×C4318yes—
443C24C24×C4314yes—
444C24C24×C4314yes—
445C24C24×C4311yescharacteristic
446#41—216no—
447#41—216no—
448#41—216no—
449#41—216no—
450#41—832no—
451C2×Q8—28no—
452C2×Q8C24×C4314yes—
453C2×Q8C24×C4314yes—
454C2×Q8C24×C43116yes—
455C2×D4—216no—
456C2×D4—216no—
457C2×D4—216no—
458C2×D4—28no—
459C2×D4—28no—
460C2×D4—28no—
461C2×D4—816no—
462C2×D4C24×C4318yes—
463C2×D4C24×C4318yes—
464C2×D4C24×C4314yes—
465C2×D4C24×C4318yes—
466C2×D4C24×C4314yes—
467C2×D4C24×C4314yes—
468C2×D4C24×C4314yes—
469C2×D4C24×C43164yes—
470C2×D4C24×C43116yes—
471C22×C4—216no—
472C22×C4—88no—
473C22×C4#41×C4318yescomplemented
474C22×C4C24×C4318yes—
475C22×C4C24×C4314yes—
476C22×C4C24×C4318yes—
477C22×C4C24×C4314yes—
478C22×C4C24×C4318yes—
479C22×C4C24×C4314yes—
480C22×C4C24×C43132yes—
481C22×C4C24×C43132yes—
482C22×C4C24×C4311yescharacteristic
483C22×C4C24×C4311yescharacteristic
484C22×C4C24×C4312yes—
485C22×C4C24×C4312yes—
486C4⋊C4C24×C4314yes—
487C4⋊C4C24×C4318yes—
488C4⋊C4C24×C4314yes—
489C4⋊C4C24×C4318yes—
490C4⋊C4C24×C4318yes—
491C4⋊C4C24×C43132yes—
492C4⋊C4C24×C43116yes—
493C4⋊C4C24×C43116yes—
494C4⋊C4C24×C43132yes—
495C22⋊C4C24×C4318yes—
496C22⋊C4C24×C4318yes—
497C22⋊C4C24×C4318yes—
498C22⋊C4C24×C43132yes—
499C22⋊C4C24×C4318yes—
500C22⋊C4C24×C43132yes—
501C22⋊C4C24×C43164yes—
502C22⋊C4C24×C43132yes—
503C42C24×C4318yes—
504C42C24×C4318yes—
505C42C24×C4314yes—
506C42C24×C4314yes—
507C42C24×C4318yes—
508C42C24×C43132yes—
509C23—28no—
510C23—28no—
511C23—216no—
512C23—48no—
513C23—42no—
514C23—48no—
515C23—416no—
516C23—816no—
517C23C2×#41×C4314yes—
518C23C25×C4318yes—
519C23C25×C4318yes—
520C23C25×C4312yes—
521C23C25×C4311yescharacteristic
522Q8—28no—
523Q8—28no—
524Q8—416no—
525D4—216no—
526D4—216no—
527D4—28no—
528D4—216no—
529D4—28no—
530D4—28no—
531D4—28no—
532D4—464no—
533D4—416no—
534C2×C4—28no—
535C2×C4—216no—
536C2×C4—216no—
537C2×C4—44no—
538C2×C4—44no—
539C2×C4—432no—
540C2×C4—48no—
541C2×C4—432no—
542C2×C4C2×#41×C4318yes—
543C2×C4C2×#41×C4318yes—
544C2×C4C2×#41×C4314yes—
545C2×C4C2×#41×C4314yes—
546C2×C4C25×C4318yes—
547C2×C4C25×C4318yes—
548C2×C4C25×C43116yes—
549C2×C4C25×C4318yes—
550C2×C4C25×C4311yescharacteristic
551C2×C4C25×C4312yes—
552C2×C4C25×C4311yescharacteristic
553C22—22no—
554C22—24no—
555C22—28no—
556C22—28no—
557C22—216no—
558C22—216no—
559C22—44no—
560C22—416no—
561C22—816no—
562C22—88no—
563C22C22×#41×C4314yes—
564C22C22×#41×C4312yes—
565C22C26×C4311yescharacteristic
566C4—28no—
567C4—28no—
568C4—28no—
569C4—216no—
570C4C22×#41×C4312yes—
571C4C22×#41×C4314yes—
572C4C22×#41×C4312yes—
573C2—22no—
574C2—24no—
575C2—48no—
576C2—48no—
577C2C23×#41×C4311yescharacteristic
578C2C43×H(7,𝔽2)12yes—
subgroupG/H
center, socleC22×C43C26
commutator, Frattini, cosocleC22C26×C43
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#3510C2semidirect
2. C43×#3508C2semidirect
3. C43×#3506C2semidirect
4. C43×#3494C2semidirect
5. C43×#3490C2semidirect
6. C43×#3460C2semidirect
7. C43×#3458C2semidirect
8. C43×#3449C2semidirect
9. C2×C43×#535C2semidirect
10. C43×#3428C2semidirect
11. C2×C43×#518C2semidirect
14. C43×#559C22semidirect
15. C43×#556C22semidirect
16. C43×#555C22semidirect
17. C43×#553C22semidirect
18. C43×#551C22semidirect
19. C43×#550C22semidirect
20. C43×#547C22semidirect
21. C43×#546C22semidirect
22. C43×#544C22semidirect
23. C43×#544C22semidirect
25. C43×#542C22semidirect
26. C43×#540C22semidirect
27. C43×#538C22semidirect
28. C43×#537C22semidirect
29. C43×#536C22semidirect
32. C43×#535C22semidirect
33. C43×#535C22semidirect
34. C43×#535C22semidirect
36. C43×#533C22semidirect
37. C43×#533C22semidirect
38. C43×#532C22semidirect
39. C43×#532C22semidirect
40. C2×#127×C43C22semidirect
41. C43×#529C22semidirect
42. C2×#124×C43C22semidirect
43. C43×#525C22semidirect
44. C43×#525C22semidirect
45. C2×#121×C43C22semidirect
47. C43×#520C22semidirect
48. C43×#520C22semidirect
49. C43×#519C22semidirect
51. C43×#518C22semidirect
52. C43×#518C22semidirect
53. C43×#518C22semidirect
54. C4×#41×C43C22semidirect
55. C4×#41×C43C22semidirect
56. C2×C4×D4×C43C22semidirect
57. C2×C4×D4×C43C22semidirect
61. C2×#117×C43C22semidirect
69. C2×#41×C43C23semidirect
82. C4⋊Q8×C43C23semidirect
83. C4⋊Q8×C43C23semidirect
84. C4⋊Q8×C43C23semidirect
87. #127×C43C23semidirect
88. #126×C43C23semidirect
89. #125×C43C23semidirect
90. #125×C43C23semidirect
93. #124×C43C23semidirect
94. #124×C43C23semidirect
96. #123×C43C23semidirect
97. #123×C43C23semidirect
100. C22⋊Q8×C43C23semidirect
101. C22⋊Q8×C43C23semidirect
105. #121×C43C23semidirect
106. #121×C43C23semidirect
107. #121×C43C23semidirect
111. C4×Q8×C43C23semidirect
112. C4×Q8×C43C23semidirect
113. C4×Q8×C43C23semidirect
119. C4×D4×C43C23semidirect
120. C4×D4×C43C23semidirect
121. C4×D4×C43C23semidirect
122. C4×D4×C43C23semidirect
132. #117×C43C23semidirect
133. #117×C43C23semidirect
134. #117×C43C23semidirect
138. C2×C4⋊C4×C43C23semidirect
149. C2×C42×C43C23semidirect
183. C22×C4×C43#41semidirect
263. #62855C43direct (N × H)
284. #3510C2×C43semidirect
285. #3508C2×C43semidirect
286. #3506C2×C43semidirect
287. #3494C2×C43semidirect
288. #3490C2×C43semidirect
289. #3460C2×C43semidirect
290. #3458C2×C43semidirect
291. #3449C2×C43semidirect
292. C2×#535C2×C43semidirect
293. #3428C2×C43semidirect
294. C2×#518C2×C43semidirect
303. #559C22×C43semidirect
304. #556C22×C43semidirect
305. #555C22×C43semidirect
306. #553C22×C43semidirect
307. #551C22×C43semidirect
308. #550C22×C43semidirect
309. #547C22×C43semidirect
310. #546C22×C43semidirect
311. #544C22×C43semidirect
312. #544C22×C43semidirect
314. #542C22×C43semidirect
315. #540C22×C43semidirect
316. #538C22×C43semidirect
317. #537C22×C43semidirect
318. #536C22×C43semidirect
321. #535C22×C43semidirect
322. #535C22×C43semidirect
323. #535C22×C43semidirect
325. #533C22×C43semidirect
326. #533C22×C43semidirect
327. #532C22×C43semidirect
328. #532C22×C43semidirect
329. C2×#127C22×C43semidirect
330. #529C22×C43semidirect
331. C2×#124C22×C43semidirect
332. #525C22×C43semidirect
333. #525C22×C43semidirect
334. C2×#121C22×C43semidirect
336. #520C22×C43semidirect
337. #520C22×C43semidirect
338. #519C22×C43semidirect
340. #518C22×C43semidirect
341. #518C22×C43semidirect
342. #518C22×C43semidirect
343. C4×#41C22×C43semidirect
344. C4×#41C22×C43semidirect
345. C2×C4×D4C22×C43semidirect
346. C2×C4×D4C22×C43semidirect
350. C2×#117C22×C43semidirect
352. C43#62855direct (N × H)
359. C2×#41C23×C43semidirect
372. C4⋊Q8C23×C43semidirect
373. C4⋊Q8C23×C43semidirect
374. C4⋊Q8C23×C43semidirect
377. #127C23×C43semidirect
378. #126C23×C43semidirect
379. #125C23×C43semidirect
380. #125C23×C43semidirect
383. #124C23×C43semidirect
384. #124C23×C43semidirect
386. #123C23×C43semidirect
387. #123C23×C43semidirect
390. C22⋊Q8C23×C43semidirect
391. C22⋊Q8C23×C43semidirect
395. #121C23×C43semidirect
396. #121C23×C43semidirect
397. #121C23×C43semidirect
401. C4×Q8C23×C43semidirect
402. C4×Q8C23×C43semidirect
403. C4×Q8C23×C43semidirect
409. C4×D4C23×C43semidirect
410. C4×D4C23×C43semidirect
411. C4×D4C23×C43semidirect
412. C4×D4C23×C43semidirect
422. #117C23×C43semidirect
423. #117C23×C43semidirect
424. #117C23×C43semidirect
428. C2×C4⋊C4C23×C43semidirect
439. C2×C42C23×C43semidirect
473. C22×C4#41×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#35102
C43×#35082
C43×#35062
C43×#34942
C43×#34902
C43×#34602
C43×#34582
C43×#34492
C2×C43×#5352
C43×#34282
C2×C43×#5182
#6285543