Finite Group Databasebeta

← C43×#62851 #24982868

Subgroups — C43×#62851 #24982868

Order 11008.

7066 conjugacy classes of subgroups.

The subgroup lattice has 598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3524C218yesmaximal, complemented
2C43×#3522C218yesmaximal, complemented
3C43×#3517C218yesmaximal, complemented
4C43×#3516C218yesmaximal, complemented
5C43×#3506C216yesmaximal, complemented
6C43×#3502C211yesmaximal, characteristic, complemented
7C43×#3497C211yesmaximal, characteristic, complemented
8C43×#3492C216yesmaximal, complemented
9C43×#3487C212yesmaximal, complemented
10C43×#3460C216yesmaximal, complemented
11C43×#3455C216yesmaximal, complemented
12C4×2−1+4×C43C212yesmaximal, complemented
13C2×C43×#520C211yesmaximal, characteristic, complemented
14C2×2−1+4×C43C2212yes—
15C22×#41×C43C2211yescharacteristic
16C43×#559C22124yescomplemented
17Q82×C43C2214yescomplemented
18C43×#557C2218yescomplemented
19C43×#557C2214yescomplemented
20C43×#556C22112yescomplemented
21C43×#555C22112yescomplemented
22C43×#554C22124yescomplemented
23C43×#553C22124yescomplemented
24C43×#553C22124yescomplemented
25C43×#552C22124yescomplemented
26C43×#550C2218yes—
27C43×#550C2218yes—
28C43×#550C2214yescomplemented
29C43×#550C22112yescomplemented
30D4×Q8×C43C2214yescomplemented
31C43×#548C2218yes—
32C43×#548C2218yes—
33C43×#548C2218yescomplemented
34C43×#547C22124yescomplemented
35C43×#547C22112yescomplemented
36C43×#544C2216yes—
37C43×#542C22112yescomplemented
38C43×#542C22112yescomplemented
39C43×#542C22124yescomplemented
40C43×#541C22112yescomplemented
41C43×#540C22112yescomplemented
42C43×#540C22124yescomplemented
43C43×#539C2214yes—
44C43×#539C22112yes—
45C43×#538C22112yes—
46C43×#538C22112yes—
47C43×#537C2216yes—
48C43×#535C22112yes—
49C43×#533C2216yes—
50C43×#532C2216yes—
51C43×#532C22124yescomplemented
52C43×#529C22124yescomplemented
53C43×#529C22124yescomplemented
54C43×#529C22124yescomplemented
55C43×#525C22112yes—
56C43×#525C22124yes—
57C43×#520C2218yes—
58C43×#520C2218yes—
59C43×#520C22112yes—
60C43×#520C2218yescomplemented
61C43×#519C2212yes—
62C43×#519C2218yescomplemented
63C4×#41×C43C22112yes—
64C4×#41×C43C2218yescomplemented
65C2×C4×Q8×C43C2211yescharacteristic
66C2×C4×Q8×C43C2211yescharacteristic
67C2×C4×Q8×C43C2218yescomplemented
68C2×C4×D4×C43C2213yes—
69C2×C4×D4×C43C2213yes—
70C2×#117×C43C2213yes—
71C22×C4⋊C4×C43C2213yes—
722−1+4×C43—216no—
73C2×#41×C43—28no—
74C2×#41×C43C23112yes—
75C2×#41×C43C2318yes—
76C2×#41×C43C2318yes—
77C2×#41×C43C23124yes—
78C22×Q8×C43C2318yes—
79C22×Q8×C43C2311yescharacteristic
80C22×D4×C43C2313yes—
81C23×C4×C43C2313yes—
82C23×C4×C43C2316yes—
83C4⋊Q8×C43C2316yes—
84C4⋊Q8×C43C23124yes—
85C4⋊Q8×C43C2316yes—
86C4⋊Q8×C43C2316yes—
87#127×C43C2316yes—
88#127×C43C23124yes—
89#126×C43C23124yes—
90#126×C43C2318yes—
91#126×C43C23124yes—
92#126×C43C23124yes—
93#125×C43C2318yes—
94#125×C43C23124yes—
95#125×C43C23124yes—
96#125×C43C23112yes—
97#124×C43C23124yes—
98#124×C43C23124yes—
99#124×C43C23124yes—
100#124×C43C23112yes—
101#123×C43C2318yes—
102#123×C43C23148yes—
103#123×C43C23124yes—
104#123×C43C2318yes—
105#123×C43C23124yes—
106#123×C43C23124yes—
107C22⋊Q8×C43C23112yes—
108C22⋊Q8×C43C23112yes—
109C22⋊Q8×C43C23112yes—
110C22⋊Q8×C43C23124yes—
111C22⋊Q8×C43C2318yes—
112C22⋊Q8×C43C23124yes—
113C22⋊Q8×C43C23124yes—
114C22⋊Q8×C43C2314yes—
115#121×C43C23112yes—
116#121×C43C23124yes—
117#121×C43C23112yes—
118#121×C43C23112yes—
119#121×C43C23124yes—
120#121×C43C23124yes—
121#121×C43C23124yes—
122#121×C43C2314yes—
123#121×C43C23124yes—
124#121×C43C23124yes—
125#120×C43C23124yes—
126C4×Q8×C43C2318yes—
127C4×Q8×C43C2314yes—
128C4×Q8×C43C2314yes—
129C4×Q8×C43C23112yes—
130C4×Q8×C43C2318yes—
131C4×Q8×C43C23124yes—
132C4×Q8×C43C23112yes—
133C4×Q8×C43C2318yes—
134C4×Q8×C43C23112yes—
135C4×Q8×C43C23112yes—
136C4×D4×C43C23124yes—
137C4×D4×C43C23112yes—
138C4×D4×C43C23112yes—
139C4×D4×C43C2318yes—
140C4×D4×C43C23112yes—
141C4×D4×C43C23124yes—
142C4×D4×C43C23112yes—
143C4×D4×C43C23124yes—
144C4×D4×C43C23124yes—
145C4×D4×C43C23124yes—
146C4×D4×C43C23148yes—
147C4×D4×C43C23112yes—
148C4×D4×C43C23112yes—
149#117×C43C23112yes—
150#117×C43C23112yes—
151#117×C43C23112yes—
152#117×C43C23124yes—
153#117×C43C23124yes—
154#117×C43C23124yes—
155C2×C4⋊C4×C43C2313yes—
156C2×C4⋊C4×C43C2313yes—
157C2×C4⋊C4×C43C2313yes—
158C2×C4⋊C4×C43C23124yes—
159C2×C4⋊C4×C43C2311yescharacteristic
160C2×C4⋊C4×C43C23124yes—
161C2×C22⋊C4×C43C2313yes—
162C2×C22⋊C4×C43C2313yes—
163C2×C42×C43C2313yes—
164C2×C42×C43C2313yes—
165C2×C42×C43C23124yes—
166C24×C43C2413yes—
167#41×C43—232no—
168#41×C43—232no—
169#41×C43—248no—
170#41×C43—824no—
171C2×Q8×C43—232no—
172C2×Q8×C43#4118yescomplemented
173C2×Q8×C43C24112yes—
174C2×Q8×C43C2414yes—
175C2×Q8×C43C24112yes—
176C2×Q8×C43C2414yes—
177C2×D4×C43—212no—
178C2×D4×C43C2418yes—
179C2×D4×C43C24112yes—
180C2×D4×C43C24112yes—
181C2×D4×C43C24124yes—
182C2×D4×C43C2414yes—
183C2×D4×C43C24124yes—
184C2×D4×C43C24112yes—
185C22×C4×C43—212no—
186C22×C4×C43—86no—
187C22×C4×C43C24124yes—
188C22×C4×C43C2411yescharacteristic
189C22×C4×C43C24112yes—
190C22×C4×C43C2411yescharacteristic
191C22×C4×C43C2411yescharacteristic
192C22×C4×C43C2418yes—
193C22×C4×C43C2413yes—
194C22×C4×C43C2413yes—
195C22×C4×C43C24124yes—
196C22×C4×C43C24124yes—
197C22×C4×C43C2413yes—
198C4⋊C4×C43C24112yes—
199C4⋊C4×C43C24112yes—
200C4⋊C4×C43C24112yes—
201C4⋊C4×C43C24112yes—
202C4⋊C4×C43C24124yes—
203C4⋊C4×C43C2412yes—
204C4⋊C4×C43C2412yes—
205C4⋊C4×C43C24112yes—
206C4⋊C4×C43C2418yes—
207C4⋊C4×C43C24112yes—
208C4⋊C4×C43C24112yes—
209C4⋊C4×C43C2414yes—
210C4⋊C4×C43C2418yes—
211C4⋊C4×C43C2418yes—
212C4⋊C4×C43C24124yes—
213C4⋊C4×C43C2418yes—
214C4⋊C4×C43C2414yes—
215C22⋊C4×C43C2416yes—
216C22⋊C4×C43C24112yes—
217C22⋊C4×C43C2416yes—
218C22⋊C4×C43C2418yes—
219C22⋊C4×C43C24124yes—
220C22⋊C4×C43C2418yes—
221C22⋊C4×C43C24124yes—
222C22⋊C4×C43C24124yes—
223C22⋊C4×C43C2418yes—
224C22⋊C4×C43C24124yes—
225C22⋊C4×C43C2418yes—
226C22⋊C4×C43C2418yes—
227C42×C43C24112yes—
228C42×C43C2418yes—
229C42×C43C24124yes—
230C42×C43C2416yes—
231C42×C43C2416yes—
232C42×C43C24124yes—
233C23×C43—26no—
234C23×C43—43no—
235C23×C43—43no—
236C23×C43C2516yes—
237C23×C43C2518yes—
238C23×C43C2511yescharacteristic
239Q8×C43—224no—
240Q8×C43—44no—
241Q8×C43—412no—
242Q8×C43C2×#41116yes—
243D4×C43—216no—
244D4×C43—224no—
245D4×C43—224no—
246D4×C43—44no—
247D4×C43—424no—
248D4×C43—412no—
249D4×C43—424no—
250C2×C4×C43—22no—
251C2×C4×C43—224no—
252C2×C4×C43—248no—
253C2×C4×C43—43no—
254C2×C4×C43—43no—
255C2×C4×C43—424no—
256C2×C4×C43—41no—
257C2×C4×C43—48no—
258C2×C4×C43—41no—
259C2×C4×C43—424no—
260C2×C4×C43C2×#41112yes—
261C2×C4×C43C2512yes—
262C2×C4×C43C2511yescharacteristic
263C2×C4×C43C2518yes—
264C2×C4×C43C2511yescharacteristic
265C2×C4×C43C2516yes—
266C2×C4×C43C2518yes—
267C2×C4×C43C2518yes—
268C2×C4×C43C2516yes—
269C2×C4×C43C2512yes—
270C2×C4×C43C2516yes—
271#62851C4311yesmaximal, characteristic, direct product factor, Sylow
272C22×C43—21no—
273C22×C43—21no—
274C22×C43—26no—
275C22×C43—28no—
276C22×C43—26no—
277C22×C43—28no—
278C22×C43—26no—
279C22×C43—28no—
280C22×C43—412no—
281C22×C43C22×#4112yes—
282C22×C43C2611yescharacteristic
283C4×C43—22no—
284C4×C43—28no—
285C4×C43—26no—
286C4×C43—26no—
287C4×C43—28no—
288C4×C43—22no—
289C4×C43—21no—
290C4×C43—28no—
291C4×C43—21no—
292C4×C43C22×#41112yes—
293#3524C2×C4318yescomplemented
294#3522C2×C4318yescomplemented
295#3517C2×C4318yescomplemented
296#3516C2×C4318yescomplemented
297#3506C2×C4316yescomplemented
298#3502C2×C4311yescharacteristic, complemented
299#3497C2×C4311yescharacteristic, complemented
300#3492C2×C4316yescomplemented
301#3487C2×C4312yescomplemented
302#3460C2×C4316yescomplemented
303#3455C2×C4316yescomplemented
304C4×2−1+4C2×C4312yescomplemented
305C2×#520C2×C4311yescharacteristic, complemented
306C2×C43—22no—
307C2×C43—48no—
308C2×C43—46no—
309C2×C43C23×#4111yescharacteristic
310C2×C43H(7,𝔽2)11yescharacteristic
311C2×C432−1+611yescharacteristic
312C2×2−1+4C22×C4312yes—
313C22×#41C22×C4311yescharacteristic
314#559C22×C43124yescomplemented
315Q82C22×C4314yescomplemented
316#557C22×C4318yescomplemented
317#557C22×C4314yescomplemented
318#556C22×C43112yescomplemented
319#555C22×C43112yescomplemented
320#554C22×C43124yescomplemented
321#553C22×C43124yescomplemented
322#553C22×C43124yescomplemented
323#552C22×C43124yescomplemented
324#550C22×C4318yes—
325#550C22×C4318yes—
326#550C22×C4314yescomplemented
327#550C22×C43112yescomplemented
328D4×Q8C22×C4314yescomplemented
329#548C22×C4318yes—
330#548C22×C4318yes—
331#548C22×C4318yescomplemented
332#547C22×C43124yescomplemented
333#547C22×C43112yescomplemented
334#544C22×C4316yes—
335#542C22×C43112yescomplemented
336#542C22×C43112yescomplemented
337#542C22×C43124yescomplemented
338#541C22×C43112yescomplemented
339#540C22×C43112yescomplemented
340#540C22×C43124yescomplemented
341#539C22×C4314yes—
342#539C22×C43112yes—
343#538C22×C43112yes—
344#538C22×C43112yes—
345#537C22×C4316yes—
346#535C22×C43112yes—
347#533C22×C4316yes—
348#532C22×C4316yes—
349#532C22×C43124yescomplemented
350#529C22×C43124yescomplemented
351#529C22×C43124yescomplemented
352#529C22×C43124yescomplemented
353#525C22×C43112yes—
354#525C22×C43124yes—
355#520C22×C4318yes—
356#520C22×C4318yes—
357#520C22×C43112yes—
358#520C22×C4318yescomplemented
359#519C22×C4312yes—
360#519C22×C4318yescomplemented
361C4×#41C22×C43112yes—
362C4×#41C22×C4318yescomplemented
363C2×C4×Q8C22×C4311yescharacteristic
364C2×C4×Q8C22×C4311yescharacteristic
365C2×C4×Q8C22×C4318yescomplemented
366C2×C4×D4C22×C4313yes—
367C2×C4×D4C22×C4313yes—
368C2×#117C22×C4313yes—
369C22×C4⋊C4C22×C4313yes—
370C43#6285111yescharacteristic, direct product factor, Sylow
3712−1+4—216no—
372C2×#41—28no—
373C2×#41C23×C43112yes—
374C2×#41C23×C4318yes—
375C2×#41C23×C4318yes—
376C2×#41C23×C43124yes—
377C22×Q8C23×C4318yes—
378C22×Q8C23×C4311yescharacteristic
379C22×D4C23×C4313yes—
380C23×C4C23×C4313yes—
381C23×C4C23×C4316yes—
382C4⋊Q8C23×C4316yes—
383C4⋊Q8C23×C43124yes—
384C4⋊Q8C23×C4316yes—
385C4⋊Q8C23×C4316yes—
386#127C23×C4316yes—
387#127C23×C43124yes—
388#126C23×C43124yes—
389#126C23×C4318yes—
390#126C23×C43124yes—
391#126C23×C43124yes—
392#125C23×C4318yes—
393#125C23×C43124yes—
394#125C23×C43124yes—
395#125C23×C43112yes—
396#124C23×C43124yes—
397#124C23×C43124yes—
398#124C23×C43124yes—
399#124C23×C43112yes—
400#123C23×C4318yes—
401#123C23×C43148yes—
402#123C23×C43124yes—
403#123C23×C4318yes—
404#123C23×C43124yes—
405#123C23×C43124yes—
406C22⋊Q8C23×C43112yes—
407C22⋊Q8C23×C43112yes—
408C22⋊Q8C23×C43112yes—
409C22⋊Q8C23×C43124yes—
410C22⋊Q8C23×C4318yes—
411C22⋊Q8C23×C43124yes—
412C22⋊Q8C23×C43124yes—
413C22⋊Q8C23×C4314yes—
414#121C23×C43112yes—
415#121C23×C43124yes—
416#121C23×C43112yes—
417#121C23×C43112yes—
418#121C23×C43124yes—
419#121C23×C43124yes—
420#121C23×C43124yes—
421#121C23×C4314yes—
422#121C23×C43124yes—
423#121C23×C43124yes—
424#120C23×C43124yes—
425C4×Q8C23×C4318yes—
426C4×Q8C23×C4314yes—
427C4×Q8C23×C4314yes—
428C4×Q8C23×C43112yes—
429C4×Q8C23×C4318yes—
430C4×Q8C23×C43124yes—
431C4×Q8C23×C43112yes—
432C4×Q8C23×C4318yes—
433C4×Q8C23×C43112yes—
434C4×Q8C23×C43112yes—
435C4×D4C23×C43124yes—
436C4×D4C23×C43112yes—
437C4×D4C23×C43112yes—
438C4×D4C23×C4318yes—
439C4×D4C23×C43112yes—
440C4×D4C23×C43124yes—
441C4×D4C23×C43112yes—
442C4×D4C23×C43124yes—
443C4×D4C23×C43124yes—
444C4×D4C23×C43124yes—
445C4×D4C23×C43148yes—
446C4×D4C23×C43112yes—
447C4×D4C23×C43112yes—
448#117C23×C43112yes—
449#117C23×C43112yes—
450#117C23×C43112yes—
451#117C23×C43124yes—
452#117C23×C43124yes—
453#117C23×C43124yes—
454C2×C4⋊C4C23×C4313yes—
455C2×C4⋊C4C23×C4313yes—
456C2×C4⋊C4C23×C4313yes—
457C2×C4⋊C4C23×C43124yes—
458C2×C4⋊C4C23×C4311yescharacteristic
459C2×C4⋊C4C23×C43124yes—
460C2×C22⋊C4C23×C4313yes—
461C2×C22⋊C4C23×C4313yes—
462C2×C42C23×C4313yes—
463C2×C42C23×C4313yes—
464C2×C42C23×C43124yes—
465C24C24×C4313yes—
466#41—232no—
467#41—232no—
468#41—248no—
469#41—824no—
470C2×Q8—232no—
471C2×Q8#41×C4318yescomplemented
472C2×Q8C24×C43112yes—
473C2×Q8C24×C4314yes—
474C2×Q8C24×C43112yes—
475C2×Q8C24×C4314yes—
476C2×D4—212no—
477C2×D4C24×C4318yes—
478C2×D4C24×C43112yes—
479C2×D4C24×C43112yes—
480C2×D4C24×C43124yes—
481C2×D4C24×C4314yes—
482C2×D4C24×C43124yes—
483C2×D4C24×C43112yes—
484C22×C4—212no—
485C22×C4—86no—
486C22×C4C24×C43124yes—
487C22×C4C24×C4311yescharacteristic
488C22×C4C24×C43112yes—
489C22×C4C24×C4311yescharacteristic
490C22×C4C24×C4311yescharacteristic
491C22×C4C24×C4318yes—
492C22×C4C24×C4313yes—
493C22×C4C24×C4313yes—
494C22×C4C24×C43124yes—
495C22×C4C24×C43124yes—
496C22×C4C24×C4313yes—
497C4⋊C4C24×C43112yes—
498C4⋊C4C24×C43112yes—
499C4⋊C4C24×C43112yes—
500C4⋊C4C24×C43112yes—
501C4⋊C4C24×C43124yes—
502C4⋊C4C24×C4312yes—
503C4⋊C4C24×C4312yes—
504C4⋊C4C24×C43112yes—
505C4⋊C4C24×C4318yes—
506C4⋊C4C24×C43112yes—
507C4⋊C4C24×C43112yes—
508C4⋊C4C24×C4314yes—
509C4⋊C4C24×C4318yes—
510C4⋊C4C24×C4318yes—
511C4⋊C4C24×C43124yes—
512C4⋊C4C24×C4318yes—
513C4⋊C4C24×C4314yes—
514C22⋊C4C24×C4316yes—
515C22⋊C4C24×C43112yes—
516C22⋊C4C24×C4316yes—
517C22⋊C4C24×C4318yes—
518C22⋊C4C24×C43124yes—
519C22⋊C4C24×C4318yes—
520C22⋊C4C24×C43124yes—
521C22⋊C4C24×C43124yes—
522C22⋊C4C24×C4318yes—
523C22⋊C4C24×C43124yes—
524C22⋊C4C24×C4318yes—
525C22⋊C4C24×C4318yes—
526C42C24×C43112yes—
527C42C24×C4318yes—
528C42C24×C43124yes—
529C42C24×C4316yes—
530C42C24×C4316yes—
531C42C24×C43124yes—
532C23—26no—
533C23—43no—
534C23—43no—
535C23C25×C4316yes—
536C23C25×C4318yes—
537C23C25×C4311yescharacteristic
538Q8—224no—
539Q8—412no—
540Q8—44no—
541Q8C2×#41×C43116yes—
542D4—216no—
543D4—224no—
544D4—224no—
545D4—412no—
546D4—424no—
547D4—44no—
548D4—424no—
549C2×C4—22no—
550C2×C4—224no—
551C2×C4—248no—
552C2×C4—43no—
553C2×C4—43no—
554C2×C4—424no—
555C2×C4—424no—
556C2×C4—41no—
557C2×C4—48no—
558C2×C4—41no—
559C2×C4C2×#41×C43112yes—
560C2×C4C25×C4312yes—
561C2×C4C25×C4311yescharacteristic
562C2×C4C25×C4318yes—
563C2×C4C25×C4311yescharacteristic
564C2×C4C25×C4316yes—
565C2×C4C25×C4318yes—
566C2×C4C25×C4318yes—
567C2×C4C25×C4316yes—
568C2×C4C25×C4312yes—
569C2×C4C25×C4316yes—
570C22—21no—
571C22—21no—
572C22—28no—
573C22—26no—
574C22—26no—
575C22—28no—
576C22—28no—
577C22—26no—
578C22—412no—
579C22C22×#41×C4312yes—
580C22C26×C4311yescharacteristic
581C4—22no—
582C4—28no—
583C4—26no—
584C4—26no—
585C4—28no—
586C4—22no—
587C4—21no—
588C4—28no—
589C4—21no—
590C4C22×#41×C43112yes—
591C2—22no—
592C2—46no—
593C2—48no—
594C2C23×#41×C4311yescharacteristic
595C2C43×H(7,𝔽2)11yescharacteristic
596C2C43×2−1+611yescharacteristic
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×#3524C2semidirect
2. C43×#3522C2semidirect
3. C43×#3517C2semidirect
4. C43×#3516C2semidirect
5. C43×#3506C2semidirect
6. C43×#3502C2semidirect
7. C43×#3497C2semidirect
8. C43×#3492C2semidirect
9. C43×#3487C2semidirect
10. C43×#3460C2semidirect
11. C43×#3455C2semidirect
12. C4×2−1+4×C43C2semidirect
13. C2×C43×#520C2semidirect
16. C43×#559C22semidirect
17. Q82×C43C22semidirect
18. C43×#557C22semidirect
19. C43×#557C22semidirect
20. C43×#556C22semidirect
21. C43×#555C22semidirect
22. C43×#554C22semidirect
23. C43×#553C22semidirect
24. C43×#553C22semidirect
25. C43×#552C22semidirect
28. C43×#550C22semidirect
29. C43×#550C22semidirect
30. D4×Q8×C43C22semidirect
33. C43×#548C22semidirect
34. C43×#547C22semidirect
35. C43×#547C22semidirect
37. C43×#542C22semidirect
38. C43×#542C22semidirect
39. C43×#542C22semidirect
40. C43×#541C22semidirect
41. C43×#540C22semidirect
42. C43×#540C22semidirect
51. C43×#532C22semidirect
52. C43×#529C22semidirect
53. C43×#529C22semidirect
54. C43×#529C22semidirect
60. C43×#520C22semidirect
62. C43×#519C22semidirect
64. C4×#41×C43C22semidirect
67. C2×C4×Q8×C43C22semidirect
172. C2×Q8×C43#41semidirect
271. #62851C43direct (N × H)
293. #3524C2×C43semidirect
294. #3522C2×C43semidirect
295. #3517C2×C43semidirect
296. #3516C2×C43semidirect
297. #3506C2×C43semidirect
298. #3502C2×C43semidirect
299. #3497C2×C43semidirect
300. #3492C2×C43semidirect
301. #3487C2×C43semidirect
302. #3460C2×C43semidirect
303. #3455C2×C43semidirect
304. C4×2−1+4C2×C43semidirect
305. C2×#520C2×C43semidirect
314. #559C22×C43semidirect
315. Q82C22×C43semidirect
316. #557C22×C43semidirect
317. #557C22×C43semidirect
318. #556C22×C43semidirect
319. #555C22×C43semidirect
320. #554C22×C43semidirect
321. #553C22×C43semidirect
322. #553C22×C43semidirect
323. #552C22×C43semidirect
326. #550C22×C43semidirect
327. #550C22×C43semidirect
328. D4×Q8C22×C43semidirect
331. #548C22×C43semidirect
332. #547C22×C43semidirect
333. #547C22×C43semidirect
335. #542C22×C43semidirect
336. #542C22×C43semidirect
337. #542C22×C43semidirect
338. #541C22×C43semidirect
339. #540C22×C43semidirect
340. #540C22×C43semidirect
349. #532C22×C43semidirect
350. #529C22×C43semidirect
351. #529C22×C43semidirect
352. #529C22×C43semidirect
358. #520C22×C43semidirect
360. #519C22×C43semidirect
362. C4×#41C22×C43semidirect
365. C2×C4×Q8C22×C43semidirect
370. C43#62851direct (N × H)
471. C2×Q8#41×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#35242
C43×#35222
C43×#35172
C43×#35162
C43×#35062
C43×#35022
C43×#34972
C43×#34922
C43×#34872
C43×#34602
C43×#34552
C4×2−1+4×C432
C2×C43×#5202
#6285143