Finite Group Databasebeta

← D43×#3500 #26005061

Subgroups — D43×#3500 #26005061

Order 11008.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×2−1+4×D43C211yesmaximal, characteristic, complemented
2C2×H(5,𝔽2)×D43C211yesmaximal, characteristic, complemented
3#19148389C211yesmaximal, characteristic, complemented
4#19148388C211yesmaximal, characteristic, complemented
5#19148387C213yesmaximal, complemented
6#19148386C214yesmaximal, complemented
7#19148385C213yesmaximal, complemented
8#19148384C213yesmaximal, complemented
9#19148383C211yesmaximal, characteristic, complemented
10#19148382C213yesmaximal, complemented
11#19148381C2112yesmaximal, complemented
12#548×D43C214yesmaximal, complemented
13#546×D43C2112yesmaximal, complemented
14#536×D43C213yesmaximal, complemented
15#535×D43C213yesmaximal, complemented
16#532×D43C213yesmaximal, complemented
17C2×#124×D43C213yesmaximal, complemented
18C4×#41×D43C211yesmaximal, characteristic, complemented
19C43×#3500C211yesmaximal, characteristic, complemented
20C2×#13063373C2213yescomplemented
21C2×#13063373C2212yescomplemented
22C2×#13063372C2211yescharacteristic, complemented
23C2×#13063372C2216yescomplemented
24C2×#13063372C2213yescomplemented
252−1+4×D43—216no—
26C2×#13063371C2213yescomplemented
27C2×#13063371C2212yescomplemented
28C2×#13063371C2211yescharacteristic, complemented
29C2×#13063370C2216yescomplemented
30C2×#13063370C2213yescomplemented
31H(5,𝔽2)×D43—216no—
32C2×#41×D43C2212yes—
33C2×#41×D43C2213yes—
34C2×#41×D43C2211yescharacteristic
35C2×#41×D43C2216yescomplemented
36C2×#41×D43C2213yescomplemented
37C22×Q8×D43C2212yescomplemented
38C22×Q8×D43C2213yescomplemented
39C22×D4×D43C2216yes—
40C22×D4×D43C2213yes—
41#14583561C2214yescomplemented
42#14583560C2214yescomplemented
43#14583559C22112yescomplemented
44#14583558C22112yescomplemented
45#14583557C22112yescomplemented
46#14583556C2214yescomplemented
47#14583555C22112yescomplemented
48#14583546C22112yescomplemented
49#14583545C22112yescomplemented
50#14583544C22112yescomplemented
51#14583543C22112yescomplemented
52#14583542C22112yescomplemented
53#14583541C22124yescomplemented
54#14583540C22112yescomplemented
55#14583539C22124yescomplemented
56#14583538C22124yescomplemented
57#14583537C22112yescomplemented
58#14583536C22124yescomplemented
59#14583475C2213yescomplemented
60#14583474C2216yescomplemented
61#14583473C2213yescomplemented
62#14583472C22112yescomplemented
63#14583471C22112yescomplemented
64#14583470C2213yescomplemented
65#14583469C2216yescomplemented
66#14583468C2213yescomplemented
67#14583467C2216yescomplemented
68#14583466C2213yescomplemented
69#14583465C22112yescomplemented
70#14583464C22112yescomplemented
71#14583463C2213yescomplemented
72#14583462C2216yescomplemented
73#14583450C2213yescomplemented
74#14583449C2213yescomplemented
75#14583448C2213yescomplemented
76#14583448C2213yescomplemented
77#14583447C2213yescomplemented
78#14583446C22112yescomplemented
79#14583445C2213yescomplemented
80#14583445C2213yescomplemented
81#14583444C22112yescomplemented
82C4⋊Q8×D43C2213yescomplemented
83#127×D43C2213yescomplemented
84C2×#13063314C2213yescomplemented
85C2×#13063313C2213yescomplemented
86C2×#13063312C2213yescomplemented
87C2×#13063311C22112yescomplemented
88#124×D43C22112yescomplemented
89#124×D43C2213yescomplemented
90#124×D43C2216yescomplemented
91#124×D43C2211yescharacteristic, complemented
92#124×D43C22112yescomplemented
93#124×D43C2216yescomplemented
94#124×D43C2216yescomplemented
95#123×D43C22112yescomplemented
96C22⋊Q8×D43C22112yescomplemented
97#121×D43C22112yescomplemented
98#121×D43C22112yescomplemented
99#120×D43C22112yescomplemented
100#41×Dic43C2211yescharacteristic, complemented
101C4×#10621902C2212yescomplemented
102C4×#10621898C2213yescomplemented
103#14583367C2213yescomplemented
104C4×#10621900C2216yescomplemented
105C4×Q8×D43C2212yescomplemented
106C4×D4×D43C2216yescomplemented
107C4×D4×D43C22112yescomplemented
108#117×D43C2213yescomplemented
109C2×C22⋊C4×D43C22112yescomplemented
110C2×C42×D43C2213yescomplemented
111C2×2−1+4×C43C2211yescharacteristic, complemented
112C2×H(5,𝔽2)×C43C2211yescharacteristic, complemented
113C43×#548C2214yescomplemented
114C43×#546C22112yescomplemented
115C43×#536C2213yescomplemented
116C43×#535C2213yescomplemented
117C43×#532C2213yescomplemented
118C2×#124×C43C2213yescomplemented
119C4×#41×C43C2211yescharacteristic, complemented
120C24×D43C2316yes—
121#13063373—216no—
122#13063373—224no—
123#13063372—28no—
124#13063372—248no—
125#13063372—224no—
126#13063371—28no—
127#13063371—216no—
128#13063371—224no—
129#13063370—248no—
130#13063370—224no—
131C2×#10621902C2312yes—
132C2×#10621902C2313yes—
133C2×#10621902C2311yescharacteristic
134C2×#10621902C2313yescomplemented
135C2×#10621902C2316yescomplemented
136C2×#10621898C2316yes—
137C2×#10621898C2313yes—
138C2×#10621898C2316yes—
139C2×#10621898C2313yes—
140C2×#10621898C2313yescomplemented
141C2×#10621898C2316yescomplemented
142C2×#10621898C23112yescomplemented
143C2×#10621898C2316yescomplemented
144C2×#10621900C2316yes—
145C2×#10621900C2316yes—
146C2×#10621900C2313yes—
147C2×#10621900C2313yes—
148C2×#10621900C2316yescomplemented
149C2×#10621900C2313yescomplemented
150C2×#10621900C23112yescomplemented
151C2×#10621900C2316yescomplemented
152#41×D43—216no—
153#41×D43—248no—
154#41×D43—224no—
155#41×D43—224no—
156#41×D43D4116yescomplemented
157C22×Dic86C2316yescomplemented
158C22×Dic86C2316yescomplemented
159C22×Dic86C2313yescomplemented
160C2×Q8×D43—216no—
161C2×Q8×D43—224no—
162C2×Q8×D43C2316yes—
163C2×Q8×D43C2313yes—
164C2×Q8×D43C2311yescharacteristic
165C2×Q8×D43C2311yescharacteristic
166C2×Q8×D43C2312yescomplemented
167C2×Q8×D43C2316yescomplemented
168C2×Q8×D43C2316yescomplemented
169C2×Q8×D43C2316yescomplemented
170C22×D172C2313yes—
171C22×D172C2316yes—
172C22×C22⋊D43C2316yes—
173C22×C22⋊D43C23112yes—
174C2×D4×D43—248no—
175C2×D4×D43—224no—
176C2×D4×D43C2316yes—
177C2×D4×D43C2316yes—
178C2×D4×D43C2316yes—
179C2×D4×D43C2313yes—
180C2×D4×D43C2316yes—
181C2×D4×D43C2316yes—
182C2×D4×D43C2311yescharacteristic
183C2×D4×D43C2316yes—
184C2×D4×D43C23112yes—
185C2×D4×D43C2316yes—
186C2×D4×D43C23112yes—
187C2×D4×D43C2313yes—
188C22×C4×D43C2316yes—
189C22×C4×D43C2316yes—
190C22×C4×D43C2316yes—
191C22×C4×D43C2316yes—
192C22×C4×D43C2313yes—
193#13063325C2313yescomplemented
194#13063324C23112yescomplemented
195#13063323C2313yescomplemented
196#13063323C2313yescomplemented
197#13063322C2313yescomplemented
198#13063321C23112yescomplemented
199#13063321C2313yescomplemented
200#13063321C2313yescomplemented
201#13063314C23112yescomplemented
202#13063314C2313yescomplemented
203#13063314C2316yescomplemented
204#13063314C2311yescharacteristic, complemented
205#13063313C23112yescomplemented
206#13063313C2313yescomplemented
207#13063313C2316yescomplemented
208#13063313C2311yescharacteristic, complemented
209#13063312C23112yescomplemented
210#13063312C2313yescomplemented
211#13063312C2316yescomplemented
212#13063312C2311yescharacteristic, complemented
213#13063311C23124yescomplemented
214#13063311C23124yescomplemented
215#13063311C23112yescomplemented
216#13063311C23124yescomplemented
217#13063311C2314yescomplemented
218#13063310C23124yescomplemented
219#13063309C23112yescomplemented
220#13063308C23112yescomplemented
221#13063307C23124yescomplemented
222#13063306C23112yescomplemented
223#13063305C23112yescomplemented
224#13063304C23112yescomplemented
225#13063303C23124yescomplemented
226#13063302C23124yescomplemented
227#13063301C23112yescomplemented
228#13063300C23112yescomplemented
229#13063300C23112yescomplemented
230#13063299C23112yescomplemented
231#13063299C23112yescomplemented
232#13063298C23124yescomplemented
233#13063298C23112yescomplemented
234#13063298C23112yescomplemented
235#13063297C23124yescomplemented
236#13063297C23112yescomplemented
237#13063297C23112yescomplemented
238#13063296C23112yescomplemented
239#13063296C23112yescomplemented
240#13063295C23112yescomplemented
241#13063295C23124yescomplemented
242#13063294C23112yescomplemented
243#13063293C23124yescomplemented
244#13063293C23112yescomplemented
245Q8×Dic43C2312yescomplemented
246C4×Dic86C2316yescomplemented
247#13063290C2316yescomplemented
248C4×D172C23112yescomplemented
249C4×D172C2316yescomplemented
250D4×Dic43C23112yescomplemented
251D4×Dic43C2316yescomplemented
252#13063287C23112yescomplemented
253#13063287C2316yescomplemented
254C4×C22⋊D43C23112yescomplemented
255C4×C22⋊D43C23112yescomplemented
256C4×C22⋊D43C23112yescomplemented
257(C22⋊D43)⋊C4C23112yescomplemented
258(C22⋊D43)⋊C4C23112yescomplemented
259(C22⋊D43)⋊C4C23112yescomplemented
260#13063284C2313yescomplemented
261#13063283C2316yescomplemented
262#13063282C2316yescomplemented
263#13063281C2316yescomplemented
264C4⋊C4×D43C2316yes—
265C4⋊C4×D43C23112yes—
266C2×C22⋊Dic43C23112yescomplemented
267C2×(C2×D43)⋊C4C23112yescomplemented
268C2×(C2×D43)⋊C4C23112yescomplemented
269C22⋊C4×D43C23112yes—
270C22⋊C4×D43C23124yes—
271C22⋊C4×D43C2316yes—
272C22⋊C4×D43C2314yes—
273C22⋊C4×D43C23124yescomplemented
274C22⋊C4×D43C23124yescomplemented
275C2×C4×Dic43C2316yescomplemented
276C2×C4×Dic43C2313yescomplemented
277C42×D43C2311yescharacteristic
278C42×D43C2313yes—
279C42×D43C2316yes—
280C42×D43C2316yescomplemented
281C42×D43C2313yescomplemented
282C42×D43C2313yescomplemented
2832−1+4×C43—28no—
284H(5,𝔽2)×C43—28no—
285C2×#41×C43C2312yes—
286C2×#41×C43C2313yes—
287C2×#41×C43C2311yescharacteristic
288C2×#41×C43C2313yescomplemented
289C2×#41×C43C2316yescomplemented
290C22×Q8×C43C2312yescomplemented
291C22×Q8×C43C2313yescomplemented
292C22×D4×C43C2313yes—
293C22×D4×C43C2316yes—
294C4⋊Q8×C43C2313yescomplemented
295#127×C43C2313yescomplemented
296#124×C43C23112yescomplemented
297#124×C43C2313yescomplemented
298#124×C43C2316yescomplemented
299#124×C43C2311yescharacteristic, complemented
300#123×C43C23112yescomplemented
301C22⋊Q8×C43C23112yescomplemented
302#121×C43C23112yescomplemented
303#121×C43C23112yescomplemented
304#120×C43C23112yescomplemented
305C4×Q8×C43C2312yescomplemented
306C4×D4×C43C23112yescomplemented
307C4×D4×C43C2316yescomplemented
308#117×C43C2313yescomplemented
309C2×C22⋊C4×C43C23112yescomplemented
310C2×C42×C43C2313yescomplemented
311C24×C43C2416yes—
312C23×D43—224no—
313C23×D43—424no—
314C23×D43C2416yes—
315C23×D43C2412yes—
316C23×D43C2413yes—
317C23×D43C24112yes—
318C23×D43C2416yes—
319#41×C43—28no—
320#41×C43—224no—
321#41×C43—212no—
322#41×C43—212no—
323#41×C43C2×D418yescomplemented
324C2×Q8×C43—28no—
325C2×Q8×C43—212no—
326C2×Q8×C43C2416yes—
327C2×Q8×C43C2413yes—
328C2×Q8×C43C2411yescharacteristic
329C2×Q8×C43C2411yescharacteristic
330C2×D4×C43—224no—
331C2×D4×C43—212no—
332C2×D4×C43C2416yes—
333C2×D4×C43C2416yes—
334C2×D4×C43C2416yes—
335C2×D4×C43C2413yes—
336C2×D4×C43C2411yescharacteristic
337C2×D4×C43C24112yes—
338C2×D4×C43C2413yes—
339C22×C4×C43C2416yes—
340C22×C4×C43C2416yes—
341C22×C4×C43C2416yes—
342C22×C4×C43C2416yes—
343C22×C4×C43C2413yes—
344C2×C22⋊D43—248no—
345C2×C22⋊D43—224no—
346C2×C22⋊D43C2416yes—
347C2×C22⋊D43C2416yes—
348C2×C22⋊D43C2416yes—
349C2×C22⋊D43C24112yes—
350C2×C22⋊D43C2416yes—
351C2×C22⋊D43C2416yes—
352C2×C22⋊D43C2412yes—
353C2×C22⋊D43C24112yes—
354C2×C22⋊D43C24112yes—
355C2×C22⋊D43C2416yes—
356C22×Dic43C2416yes—
357C22×Dic43C2416yes—
358C22×Dic43C2416yes—
359C22×Dic43C2416yes—
360C22×Dic43C2413yes—
361#10621902—28no—
362#10621902—224no—
363#10621902—212no—
364#10621902—212no—
365#10621902C2×D418yescomplemented
366Q8×D43—28no—
367Q8×D43—224no—
368Q8×D43—212no—
369Q8×D43—224no—
370Q8×D43—224no—
371Q8×D43—24no—
372Q8×D43—224no—
373Q8×D43C2×D418yes—
374#10621900—224no—
375#10621900—248no—
376#10621900—224no—
377#10621900—224no—
378#10621900—212no—
379#10621900—212no—
380#10621900—224no—
381#10621900C2×D4124yescomplemented
382D4×D43—224no—
383D4×D43—248no—
384D4×D43—224no—
385D4×D43—224no—
386D4×D43—212no—
387D4×D43—224no—
388D4×D43—224no—
389D4×D43—24no—
390D4×D43—224no—
391D4×D43—224no—
392D4×D43—424no—
393D4×D43C2×D4124yes—
394#10621898—212no—
395#10621898—212no—
396#10621898—248no—
397#10621898—224no—
398#10621898—224no—
399#10621898—224no—
400#10621898—224no—
401#10621898C2×D4124yescomplemented
402C2×D172—212no—
403C2×D172—224no—
404C2×D172C2416yes—
405C2×D172C2416yes—
406C2×D172C2416yes—
407C2×D172C2413yes—
408C2×D172C2411yescharacteristic
409C2×D172C24112yes—
410C2×D172C2413yes—
411C2×C4×D43—224no—
412C2×C4×D43—224no—
413C2×C4×D43—224no—
414C2×C4×D43—412no—
415C2×C4×D43C2×D4124yes—
416C2×C4×D43C2412yes—
417C2×C4×D43C2416yes—
418C2×C4×D43C2416yes—
419C2×C4×D43C2412yes—
420C2×C4×D43C24112yes—
421C2×C4×D43C2416yes—
422C2×C4×D43C2416yes—
423C2×C4×D43C2416yes—
424C2×C4×D43C2416yes—
425C2×C4×D43C2416yes—
426C2×C4×D43C2416yes—
427C2×C4×D43C2411yescharacteristic
428C2×C4×D43C2413yes—
429C2×C4×D43C2413yes—
430C2×C4×D43C2413yes—
431C2×Dic86—212no—
432C2×Dic86—224no—
433C2×Dic86—224no—
434C2×Dic86C24112yes—
435C2×Dic86C2416yes—
436C2×Dic86C2416yes—
437C2×Dic86C2412yes—
438C2×Dic86C2413yes—
439C2×Dic86C2411yescharacteristic
440C2×Dic86C2413yes—
441C4⋊C4×C43C2416yes—
442C4⋊C4×C43C24112yes—
443C22⋊C4×C43C24112yes—
444C22⋊C4×C43C24124yes—
445C22⋊C4×C43C2416yes—
446C22⋊C4×C43C2414yes—
447C42×C43C2411yescharacteristic
448C42×C43C2413yes—
449C42×C43C2416yes—
450C22⋊Dic43C24112yes—
451C22⋊Dic43C24124yes—
452C22⋊Dic43C2416yes—
453C22⋊Dic43C2414yes—
454(C2×D43)⋊C4C24112yes—
455(C2×D43)⋊C4C24112yes—
456(C2×D43)⋊C4C24124yes—
457(C2×D43)⋊C4C24124yes—
458(C2×D43)⋊C4C24112yes—
459(C2×D43)⋊C4C2414yes—
460(C2×D43)⋊C4C2414yes—
461C4⋊Dic43C2416yes—
462C4⋊Dic43C24112yes—
463Dic43⋊C4C24112yes—
464Dic43⋊C4C24112yes—
465Dic43⋊C4C24112yes—
466C4×Dic43C2412yes—
467C4×Dic43C2411yescharacteristic
468C4×Dic43C2416yes—
469C4×Dic43C2413yes—
470C4×Dic43C2416yes—
471C4×Dic43C2416yes—
472C4×Dic43C2416yes—
473C23×C43—212no—
474C23×C43—412no—
475C23×C43C2516yes—
476C23×C43C2512yes—
477C23×C43C2513yes—
478C22×D43—212no—
479C22×D43—212no—
480C22×D43—24no—
481C22×D43—212no—
482C22×D43—28no—
483C22×D43—224no—
484C22×D43—224no—
485C22×D43—424no—
486C22×D43—412no—
487C22×D43—848no—
488C22×D43C22×D4112yes—
489C22×D43C2516yes—
490C22×D43C2512yes—
491C22×D43C2513yes—
492C22×D43C2511yescharacteristic
493Q8×C43—26no—
494Q8×C43—212no—
495Q8×C43—22no—
496Q8×C43C22×D414yes—
497D4×C43—212no—
498D4×C43—212no—
499D4×C43—26no—
500D4×C43—212no—
501D4×C43—22no—
502D4×C43—412no—
503D4×C43C22×D4112yes—
504C2×C4×C43—212no—
505C2×C4×C43—212no—
506C2×C4×C43—212no—
507C2×C4×C43—46no—
508C2×C4×C43C22×D4112yes—
509C2×C4×C43C2512yes—
510C2×C4×C43C2516yes—
511C2×C4×C43C2512yes—
512C2×C4×C43C2516yes—
513C2×C4×C43C2511yescharacteristic
514C2×C4×C43C2513yes—
515C22⋊D43—212no—
516C22⋊D43—212no—
517C22⋊D43—212no—
518C22⋊D43—212no—
519C22⋊D43—24no—
520C22⋊D43—212no—
521C22⋊D43—224no—
522C22⋊D43—412no—
523C22⋊D43—412no—
524C22⋊D43C22×D4124yes—
525C2×Dic43—212no—
526C2×Dic43—212no—
527C2×Dic43—212no—
528C2×Dic43—46no—
529C2×Dic43C22×D4112yes—
530C2×Dic43C2512yes—
531C2×Dic43C2516yes—
532C2×Dic43C2512yes—
533C2×Dic43C2516yes—
534C2×Dic43C2511yescharacteristic
535C2×Dic43C2513yes—
536D172—212no—
537D172—212no—
538D172—26no—
539D172—212no—
540D172—22no—
541D172—412no—
542D172C22×D4112yes—
543C4×D43—24no—
544C4×D43—212no—
545C4×D43—224no—
546C4×D43—24no—
547C4×D43—212no—
548C4×D43—212no—
549C4×D43—212no—
550C4×D43—212no—
551C4×D43—212no—
552C4×D43—46no—
553C4×D43—46no—
554C4×D43C22×D4112yes—
555C4×D43C22×D414yes—
556C4×D43C22×D4112yes—
557C4×D43C22×D4112yes—
558Dic86—26no—
559Dic86—212no—
560Dic86—22no—
561Dic86—212no—
562Dic86—224no—
563Dic86—24no—
564Dic86C22×D4112yes—
565C2×#3500—431nomaximal, Sylow
566C22×C43—26no—
567C22×C43—26no—
568C22×C43—22no—
569C22×C43—212no—
570C22×C43—24no—
571C22×C43—812no—
572C22×C43C23×D416yes—
573C22×C43C2611yescharacteristic
574C2×D43—26no—
575C2×D43—224no—
576C2×D43—26no—
577C2×D43—22no—
578C2×D43—212no—
579C2×D43—24no—
580C2×D43—48no—
581C2×D43—424no—
582C2×D43—824no—
583C2×D43—812no—
584C2×D43C23×D416yes—
585C2×D43C23×D412yes—
586C2×D43#58514yes—
587C4×C43—26no—
588C4×C43—22no—
589C4×C43—22no—
590C4×C43—26no—
591C4×C43C23×D412yes—
592C4×C43C23×D416yes—
593Dic43—26no—
594Dic43—22no—
595Dic43—22no—
596Dic43—26no—
597Dic43C23×D412yes—
598Dic43C23×D416yes—
599C22×2−1+4—431no—
600C22×H(5,𝔽2)—431no—
601#3500—431no—
602#3500—431no—
603#3500—434no—
604#3500—4312no—
605#3500—433no—
606#3500—433no—
607#3500—433no—
608#3500—433no—
609#3500—431no—
610#3500D4311yescharacteristic, direct product factor
611C2×#548—434no—
612C2×#546—4312no—
613C2×#536—433no—
614C2×#535—433no—
615C2×#532—433no—
616C22×#124—433no—
617C2×C4×#41—431no—
618C2×C43—26no—
619C2×C43—46no—
620C2×C43—42no—
621C2×C43C24×D411yescharacteristic
622C2×C43C2×#58512yes—
623D43—26no—
624D43—42no—
625D43—46no—
626D43#350014yesdirect product factor
627C2×2−1+4—431no—
628C2×2−1+4—433no—
629C2×2−1+4—436no—
630C2×2−1+4—432no—
631C2×2−1+4—433no—
632C2×2−1+4—8616no—
633C2×2−1+4C2×D4311yescharacteristic, complemented
634C2×H(5,𝔽2)—432no—
635C2×H(5,𝔽2)—433no—
636C2×H(5,𝔽2)—431no—
637C2×H(5,𝔽2)—436no—
638C2×H(5,𝔽2)—433no—
639C2×H(5,𝔽2)—8616no—
640C2×H(5,𝔽2)C2×D4311yescharacteristic, complemented
641C22×#41—431no—
642C22×#41—433no—
643C22×#41—432no—
644C22×#41—433no—
645C22×#41—436no—
646C23×Q8—433no—
647C23×Q8—432no—
648C23×D4—433no—
649C23×D4—436no—
650#548—434no—
651#548—434no—
652#548—4312no—
653#548—4312no—
654#548—4312no—
655#548—434no—
656#548—4312no—
657#548C2×D4314yescomplemented
658#546—4312no—
659#546—4312no—
660#546—4312no—
661#546—4324no—
662#546—4312no—
663#546—4324no—
664#546—4312no—
665#546—4324no—
666#546—4312no—
667#546—4312no—
668#546—4324no—
669#546C2×D43112yescomplemented
670#536—433no—
671#536—433no—
672#536—436no—
673#536—436no—
674#536—4312no—
675#536—4312no—
676#536—433no—
677#536C2×D4313yescomplemented
678#535—433no—
679#535—433no—
680#535—436no—
681#535—436no—
682#535—4312no—
683#535—4312no—
684#535—433no—
685#535C2×D4313yescomplemented
686#532—433no—
687#532—433no—
688#532—433no—
689#532—433no—
690#532—433no—
691#532—433no—
692#532—4312no—
693#532—4312no—
694#532—433no—
695#532C2×D4313yescomplemented
696C2×C4⋊Q8—433no—
697C2×#127—433no—
698C2×#124—433no—
699C2×#124—433no—
700C2×#124—433no—
701C2×#124—436no—
702C2×#124—4312no—
703C2×#124—436no—
704C2×#124—436no—
705C2×#124—4312no—
706C2×#124—431no—
707C2×#124—4312no—
708C2×#124—433no—
709C2×#124C2×D4313yescomplemented
710C2×#123—4312no—
711C2×C22⋊Q8—4312no—
712C2×#121—4312no—
713C2×#121—4312no—
714C2×#120—4312no—
715C4×#41—431no—
716C4×#41—432no—
717C4×#41—436no—
718C4×#41—433no—
719C4×#41—433no—
720C4×#41C2×D4311yescharacteristic, complemented
721C2×C4×Q8—432no—
722C2×C4×D4—436no—
723C2×C4×D4—4312no—
724C2×#117—433no—
725C22×C22⋊C4—4312no—
726C22×C42—433no—
727C43C2×#350011yescharacteristic, complemented, Sylow
728C25—436no—
7292−1+4—28no—
7302−1+4—8616no—
7312−1+4—8624no—
7322−1+4—8648no—
7332−1+4—8624no—
7342−1+4—868no—
735H(5,𝔽2)—28no—
736H(5,𝔽2)—8648no—
737H(5,𝔽2)—8624no—
738H(5,𝔽2)—8616no—
739H(5,𝔽2)—8624no—
740H(5,𝔽2)—868no—
741C2×#41—4316no—
742C2×#41—431no—
743C2×#41—433no—
744C2×#41—433no—
745C2×#41—436no—
746C2×#41—432no—
747C2×#41—433no—
748C2×#41—436no—
749C2×#41—433no—
750C2×#41—436no—
751C2×#41—433no—
752C2×#41—436no—
753C2×#41—4312no—
754C2×#41—436no—
755C2×#41—433no—
756C2×#41—436no—
757C2×#41—433no—
758C2×#41—436no—
759C2×#41—433no—
760C2×#41—436no—
761C2×#41—4312no—
762C2×#41—436no—
763C2×#41—8624no—
764C2×#41—8624no—
765C2×#41—8648no—
766C2×#41—8616no—
767C2×#41C22×D4313yes—
768C2×#41C22×D4312yes—
769C2×#41C22×D4311yescharacteristic
770C2×#41C22×D4313yescomplemented
771C2×#41C22×D4316yescomplemented
772C22×Q8—431no—
773C22×Q8—436no—
774C22×Q8—433no—
775C22×Q8—436no—
776C22×Q8—436no—
777C22×Q8—431no—
778C22×Q8—436no—
779C22×Q8—432no—
780C22×Q8—436no—
781C22×Q8—433no—
782C22×Q8—436no—
783C22×Q8—8624no—
784C22×Q8—8616no—
785C22×Q8C22×D4313yescomplemented
786C22×Q8C22×D4312yescomplemented
787C22×D4—433no—
788C22×D4—436no—
789C22×D4—4312no—
790C22×D4—436no—
791C22×D4—436no—
792C22×D4—436no—
793C22×D4—433no—
794C22×D4—436no—
795C22×D4—436no—
796C22×D4—431no—
797C22×D4—4312no—
798C22×D4—436no—
799C22×D4—436no—
800C22×D4—4312no—
801C22×D4—433no—
802C22×D4—436no—
803C22×D4—8624no—
804C22×D4—8648no—
805C22×D4C22×D4313yes—
806C22×D4C22×D4316yes—
807C23×C4—433no—
808C23×C4—436no—
809C23×C4—436no—
810C23×C4—436no—
811C23×C4—436no—
812C4⋊Q8—433no—
813C4⋊Q8—433no—
814C4⋊Q8—4312no—
815C4⋊Q8—433no—
816C4⋊Q8C22×D4313yescomplemented
817#127—4312no—
818#127—433no—
819#127—433no—
820#127—433no—
821#127C22×D4313yescomplemented
822#124—433no—
823#124—436no—
824#124—4312no—
825#124—431no—
826#124—433no—
827#124—436no—
828#124—4312no—
829#124—431no—
830#124—4312no—
831#124—4324no—
832#124—4324no—
833#124—4324no—
834#124—434no—
835#124—433no—
836#124—436no—
837#124—4312no—
838#124—431no—
839#124C22×D4313yescomplemented
840#124C22×D4316yescomplemented
841#124C22×D43112yescomplemented
842#124C22×D4311yescharacteristic, complemented
843#123—4312no—
844#123—4312no—
845#123—4324no—
846#123—4324no—
847#123—4312no—
848#123C22×D43112yescomplemented
849C22⋊Q8—4312no—
850C22⋊Q8—4312no—
851C22⋊Q8—4324no—
852C22⋊Q8—4312no—
853C22⋊Q8—4324no—
854C22⋊Q8C22×D43112yescomplemented
855#121—4312no—
856#121—4312no—
857#121—4312no—
858#121—4312no—
859#121—4324no—
860#121—4312no—
861#121—4312no—
862#121—4312no—
863#121—4312no—
864#121—4312no—
865#121—4312no—
866#121—4324no—
867#121C22×D43112yescomplemented
868#121C22×D43112yescomplemented
869#120—4312no—
870#120—4324no—
871#120—4312no—
872#120—4312no—
873#120—4324no—
874#120C22×D43112yescomplemented
875C4×Q8—432no—
876C4×Q8—436no—
877C4×Q8—436no—
878C4×Q8C22×D4312yescomplemented
879C4×D4—436no—
880C4×D4—4312no—
881C4×D4—4312no—
882C4×D4—4312no—
883C4×D4—4312no—
884C4×D4—436no—
885C4×D4—4312no—
886C4×D4—4312no—
887C4×D4—4312no—
888C4×D4—4312no—
889C4×D4—436no—
890C4×D4—4312no—
891C4×D4C22×D4316yescomplemented
892C4×D4C22×D43112yescomplemented
893#117—433no—
894#117—436no—
895#117—436no—
896#117—436no—
897#117C22×D4313yescomplemented
898C2×C4⋊C4—436no—
899C2×C4⋊C4—4312no—
900C2×C22⋊C4—4312no—
901C2×C22⋊C4—4312no—
902C2×C22⋊C4—4312no—
903C2×C22⋊C4—4312no—
904C2×C22⋊C4—4324no—
905C2×C22⋊C4—4324no—
906C2×C22⋊C4—4324no—
907C2×C22⋊C4—436no—
908C2×C22⋊C4—434no—
909C2×C22⋊C4C22×D43112yescomplemented
910C2×C42—436no—
911C2×C42—433no—
912C2×C42—433no—
913C2×C42—436no—
914C2×C42—436no—
915C2×C42—433no—
916C2×C42—433no—
917C2×C42—431no—
918C2×C42C22×D4313yescomplemented
919C24—433no—
920C24—436no—
921C24—432no—
922C24—4312no—
923C24—436no—
924C24—8624no—
925C24—17224no—
926C24C23×D4316yes—
927#41—28no—
928#41—224no—
929#41—212no—
930#41—212no—
931#41—438no—
932#41—4324no—
933#41—4324no—
934#41—8624no—
935#41—8624no—
936#41—8648no—
937#41—8624no—
938#41—8624no—
939#41—8624no—
940#41—8612no—
941#41—8624no—
942#41—8612no—
943#41—8612no—
944#41—8612no—
945#41—8648no—
946#41—8624no—
947#41—8624no—
948#41—868no—
949#41—8624no—
950#41—8612no—
951#41—8612no—
952#41D4×D4318yescomplemented
953C2×Q8—28no—
954C2×Q8—212no—
955C2×Q8—438no—
956C2×Q8—433no—
957C2×Q8—4312no—
958C2×Q8—436no—
959C2×Q8—436no—
960C2×Q8—433no—
961C2×Q8—432no—
962C2×Q8—431no—
963C2×Q8—8624no—
964C2×Q8—8624no—
965C2×Q8—8612no—
966C2×Q8—8624no—
967C2×Q8—8624no—
968C2×Q8—8624no—
969C2×Q8—864no—
970C2×Q8—8624no—
971C2×Q8—868no—
972C2×Q8—8612no—
973C2×Q8C23×D4316yes—
974C2×Q8C23×D4313yes—
975C2×Q8C23×D4311yescharacteristic
976C2×Q8C23×D4311yescharacteristic
977C2×D4—224no—
978C2×D4—212no—
979C2×D4—436no—
980C2×D4—4324no—
981C2×D4—436no—
982C2×D4—436no—
983C2×D4—436no—
984C2×D4—436no—
985C2×D4—4312no—
986C2×D4—436no—
987C2×D4—432no—
988C2×D4—4312no—
989C2×D4—4312no—
990C2×D4—433no—
991C2×D4—436no—
992C2×D4—436no—
993C2×D4—436no—
994C2×D4—433no—
995C2×D4—431no—
996C2×D4—4312no—
997C2×D4—8624no—
998C2×D4—8612no—
999C2×D4—8624no—
1000C2×D4—8624no—
1001C2×D4—8624no—
1002C2×D4—864no—
1003C2×D4—8624no—
1004C2×D4—8648no—
1005C2×D4—8624no—
1006C2×D4—8624no—
1007C2×D4—8624no—
1008C2×D4—8648no—
1009C2×D4—8624no—
1010C2×D4—8612no—
1011C2×D4—17224no—
1012C2×D4C23×D4316yes—
1013C2×D4C23×D4316yes—
1014C2×D4C23×D4316yes—
1015C2×D4C23×D4313yes—
1016C2×D4C23×D4311yescharacteristic
1017C2×D4C23×D43112yes—
1018C2×D4C23×D4313yes—
1019C22×C4—433no—
1020C22×C4—4324no—
1021C22×C4—431no—
1022C22×C4—433no—
1023C22×C4—433no—
1024C22×C4—433no—
1025C22×C4—436no—
1026C22×C4—436no—
1027C22×C4—436no—
1028C22×C4—436no—
1029C22×C4—432no—
1030C22×C4—436no—
1031C22×C4—436no—
1032C22×C4—4312no—
1033C22×C4—432no—
1034C22×C4—436no—
1035C22×C4—436no—
1036C22×C4—436no—
1037C22×C4—436no—
1038C22×C4—436no—
1039C22×C4—436no—
1040C22×C4—8624no—
1041C22×C4—8624no—
1042C22×C4—8624no—
1043C22×C4—17212no—
1044C22×C4C23×D4316yes—
1045C22×C4C23×D4316yes—
1046C22×C4C23×D4316yes—
1047C22×C4C23×D4316yes—
1048C22×C4C23×D4313yes—
1049C4⋊C4—4312no—
1050C4⋊C4—436no—
1051C4⋊C4—4312no—
1052C4⋊C4—4312no—
1053C4⋊C4—4312no—
1054C4⋊C4C23×D4316yes—
1055C4⋊C4C23×D43112yes—
1056C22⋊C4—4312no—
1057C22⋊C4—4324no—
1058C22⋊C4—436no—
1059C22⋊C4—434no—
1060C22⋊C4—4312no—
1061C22⋊C4—4312no—
1062C22⋊C4—4324no—
1063C22⋊C4—4324no—
1064C22⋊C4—4312no—
1065C22⋊C4—434no—
1066C22⋊C4—434no—
1067C22⋊C4C23×D43112yes—
1068C22⋊C4C23×D43124yes—
1069C22⋊C4C23×D4316yes—
1070C22⋊C4C23×D4314yes—
1071C42—432no—
1072C42—431no—
1073C42—436no—
1074C42—433no—
1075C42—436no—
1076C42—436no—
1077C42—436no—
1078C42C23×D4311yescharacteristic
1079C42C23×D4313yes—
1080C42C23×D4316yes—
1081C23—212no—
1082C23—412no—
1083C23—431no—
1084C23—4312no—
1085C23—433no—
1086C23—436no—
1087C23—432no—
1088C23—8612no—
1089C23—8624no—
1090C23—864no—
1091C23—8612no—
1092C23—868no—
1093C23—8624no—
1094C23—8612no—
1095C23—34448no—
1096C23—17212no—
1097C23—17224no—
1098C23C24×D4316yes—
1099C23C24×D4312yes—
1100C23C24×D4313yes—
1101Q8—212no—
1102Q8—26no—
1103Q8—22no—
1104Q8—4312no—
1105Q8—8612no—
1106Q8—8624no—
1107Q8—864no—
1108Q8—8612no—
1109Q8—866no—
1110Q8—862no—
1111Q8C2×D4×D4314yes—
1112D4—212no—
1113D4—212no—
1114D4—212no—
1115D4—26no—
1116D4—22no—
1117D4—412no—
1118D4—4324no—
1119D4—4312no—
1120D4—8612no—
1121D4—8612no—
1122D4—8612no—
1123D4—8624no—
1124D4—864no—
1125D4—8612no—
1126D4—8612no—
1127D4—8612no—
1128D4—8612no—
1129D4—8612no—
1130D4—866no—
1131D4—862no—
1132D4—17212no—
1133D4—17212no—
1134D4—17212no—
1135D4C2×D4×D43112yes—
1136C2×C4—212no—
1137C2×C4—212no—
1138C2×C4—212no—
1139C2×C4—46no—
1140C2×C4—4312no—
1141C2×C4—431no—
1142C2×C4—433no—
1143C2×C4—434no—
1144C2×C4—4312no—
1145C2×C4—4312no—
1146C2×C4—4312no—
1147C2×C4—432no—
1148C2×C4—436no—
1149C2×C4—436no—
1150C2×C4—432no—
1151C2×C4—8612no—
1152C2×C4—8612no—
1153C2×C4—864no—
1154C2×C4—8612no—
1155C2×C4—8624no—
1156C2×C4—864no—
1157C2×C4—8612no—
1158C2×C4—8612no—
1159C2×C4—8612no—
1160C2×C4—8612no—
1161C2×C4—8612no—
1162C2×C4—8612no—
1163C2×C4—1726no—
1164C2×C4—1726no—
1165C2×C4—1726no—
1166C2×C4C2×D4×D43112yes—
1167C2×C4C24×D4312yes—
1168C2×C4C24×D4316yes—
1169C2×C4C24×D4316yes—
1170C2×C4C24×D4312yes—
1171C2×C4C24×D4311yescharacteristic
1172C2×C4C24×D4313yes—
1173C22—26no—
1174C22—22no—
1175C22—26no—
1176C22—24no—
1177C22—212no—
1178C22—812no—
1179C22—432no—
1180C22—434no—
1181C22—436no—
1182C22—8624no—
1183C22—866no—
1184C22—862no—
1185C22—866no—
1186C22—864no—
1187C22—8612no—
1188C22—34412no—
1189C22—34424no—
1190C22—17224no—
1191C22—1728no—
1192C22C22×D4×D4316yes—
1193C22C25×D4311yescharacteristic
1194C4—22no—
1195C4—26no—
1196C4—22no—
1197C4—26no—
1198C4—432no—
1199C4—436no—
1200C4—862no—
1201C4—866no—
1202C4—862no—
1203C4—866no—
1204C4C22×D4×D4316yes—
1205C4C22×D4×D4312yes—
1206C2—26no—
1207C2—46no—
1208C2—42no—
1209C2—434no—
1210C2—866no—
1211C2—1726no—
1212C2—1722no—
1213C2C23×D4×D4311yescharacteristic
1214C2#585×D4312yes—
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3500C2
hypercenter#3500D43
hypocenterC43C2×#3500
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. C2×2−1+4×D43C2semidirect
2. C2×H(5,𝔽2)×D43C2semidirect
3. #19148389C2semidirect
4. #19148388C2semidirect
5. #19148387C2semidirect
6. #19148386C2semidirect
7. #19148385C2semidirect
8. #19148384C2semidirect
9. #19148383C2semidirect
10. #19148382C2semidirect
11. #19148381C2semidirect
12. #548×D43C2semidirect
13. #546×D43C2semidirect
14. #536×D43C2semidirect
15. #535×D43C2semidirect
16. #532×D43C2semidirect
17. C2×#124×D43C2semidirect
18. C4×#41×D43C2semidirect
19. C43×#3500C2semidirect
20. C2×#13063373C22semidirect
21. C2×#13063373C22semidirect
22. C2×#13063372C22semidirect
23. C2×#13063372C22semidirect
24. C2×#13063372C22semidirect
26. C2×#13063371C22semidirect
27. C2×#13063371C22semidirect
28. C2×#13063371C22semidirect
29. C2×#13063370C22semidirect
30. C2×#13063370C22semidirect
35. C2×#41×D43C22semidirect
36. C2×#41×D43C22semidirect
37. C22×Q8×D43C22semidirect
38. C22×Q8×D43C22semidirect
41. #14583561C22semidirect
42. #14583560C22semidirect
43. #14583559C22semidirect
44. #14583558C22semidirect
45. #14583557C22semidirect
46. #14583556C22semidirect
47. #14583555C22semidirect
48. #14583546C22semidirect
49. #14583545C22semidirect
50. #14583544C22semidirect
51. #14583543C22semidirect
52. #14583542C22semidirect
53. #14583541C22semidirect
54. #14583540C22semidirect
55. #14583539C22semidirect
56. #14583538C22semidirect
57. #14583537C22semidirect
58. #14583536C22semidirect
59. #14583475C22semidirect
60. #14583474C22semidirect
61. #14583473C22semidirect
62. #14583472C22semidirect
63. #14583471C22semidirect
64. #14583470C22semidirect
65. #14583469C22semidirect
66. #14583468C22semidirect
67. #14583467C22semidirect
68. #14583466C22semidirect
69. #14583465C22semidirect
70. #14583464C22semidirect
71. #14583463C22semidirect
72. #14583462C22semidirect
73. #14583450C22semidirect
74. #14583449C22semidirect
75. #14583448C22semidirect
76. #14583448C22semidirect
77. #14583447C22semidirect
78. #14583446C22semidirect
79. #14583445C22semidirect
80. #14583445C22semidirect
81. #14583444C22semidirect
82. C4⋊Q8×D43C22semidirect
83. #127×D43C22semidirect
84. C2×#13063314C22semidirect
85. C2×#13063313C22semidirect
86. C2×#13063312C22semidirect
87. C2×#13063311C22semidirect
88. #124×D43C22semidirect
89. #124×D43C22semidirect
90. #124×D43C22semidirect
91. #124×D43C22semidirect
92. #124×D43C22semidirect
93. #124×D43C22semidirect
94. #124×D43C22semidirect
95. #123×D43C22semidirect
96. C22⋊Q8×D43C22semidirect
97. #121×D43C22semidirect
98. #121×D43C22semidirect
99. #120×D43C22semidirect
100. #41×Dic43C22semidirect
101. C4×#10621902C22semidirect
102. C4×#10621898C22semidirect
103. #14583367C22semidirect
104. C4×#10621900C22semidirect
105. C4×Q8×D43C22semidirect
106. C4×D4×D43C22semidirect
107. C4×D4×D43C22semidirect
108. #117×D43C22semidirect
109. C2×C22⋊C4×D43C22semidirect
110. C2×C42×D43C22semidirect
111. C2×2−1+4×C43C22semidirect
112. C2×H(5,𝔽2)×C43C22semidirect
113. C43×#548C22semidirect
114. C43×#546C22semidirect
115. C43×#536C22semidirect
116. C43×#535C22semidirect
117. C43×#532C22semidirect
118. C2×#124×C43C22semidirect
119. C4×#41×C43C22semidirect
134. C2×#10621902C23semidirect
135. C2×#10621902C23semidirect
140. C2×#10621898C23semidirect
141. C2×#10621898C23semidirect
142. C2×#10621898C23semidirect
143. C2×#10621898C23semidirect
148. C2×#10621900C23semidirect
149. C2×#10621900C23semidirect
150. C2×#10621900C23semidirect
151. C2×#10621900C23semidirect
156. #41×D43D4semidirect
157. C22×Dic86C23semidirect
158. C22×Dic86C23semidirect
159. C22×Dic86C23semidirect
166. C2×Q8×D43C23semidirect
167. C2×Q8×D43C23semidirect
168. C2×Q8×D43C23semidirect
169. C2×Q8×D43C23semidirect
193. #13063325C23semidirect
194. #13063324C23semidirect
195. #13063323C23semidirect
196. #13063323C23semidirect
197. #13063322C23semidirect
198. #13063321C23semidirect
199. #13063321C23semidirect
200. #13063321C23semidirect
201. #13063314C23semidirect
202. #13063314C23semidirect
203. #13063314C23semidirect
204. #13063314C23semidirect
205. #13063313C23semidirect
206. #13063313C23semidirect
207. #13063313C23semidirect
208. #13063313C23semidirect
209. #13063312C23semidirect
210. #13063312C23semidirect
211. #13063312C23semidirect
212. #13063312C23semidirect
213. #13063311C23semidirect
214. #13063311C23semidirect
215. #13063311C23semidirect
216. #13063311C23semidirect
217. #13063311C23semidirect
218. #13063310C23semidirect
219. #13063309C23semidirect
220. #13063308C23semidirect
221. #13063307C23semidirect
222. #13063306C23semidirect
223. #13063305C23semidirect
224. #13063304C23semidirect
225. #13063303C23semidirect
226. #13063302C23semidirect
227. #13063301C23semidirect
228. #13063300C23semidirect
229. #13063300C23semidirect
230. #13063299C23semidirect
231. #13063299C23semidirect
232. #13063298C23semidirect
233. #13063298C23semidirect
234. #13063298C23semidirect
235. #13063297C23semidirect
236. #13063297C23semidirect
237. #13063297C23semidirect
238. #13063296C23semidirect
239. #13063296C23semidirect
240. #13063295C23semidirect
241. #13063295C23semidirect
242. #13063294C23semidirect
243. #13063293C23semidirect
244. #13063293C23semidirect
245. Q8×Dic43C23semidirect
246. C4×Dic86C23semidirect
247. #13063290C23semidirect
248. C4×D172C23semidirect
249. C4×D172C23semidirect
250. D4×Dic43C23semidirect
251. D4×Dic43C23semidirect
252. #13063287C23semidirect
253. #13063287C23semidirect
254. C4×C22⋊D43C23semidirect
255. C4×C22⋊D43C23semidirect
256. C4×C22⋊D43C23semidirect
257. (C22⋊D43)⋊C4C23semidirect
258. (C22⋊D43)⋊C4C23semidirect
259. (C22⋊D43)⋊C4C23semidirect
260. #13063284C23semidirect
261. #13063283C23semidirect
262. #13063282C23semidirect
263. #13063281C23semidirect
266. C2×C22⋊Dic43C23semidirect
267. C2×(C2×D43)⋊C4C23semidirect
268. C2×(C2×D43)⋊C4C23semidirect
273. C22⋊C4×D43C23semidirect
274. C22⋊C4×D43C23semidirect
275. C2×C4×Dic43C23semidirect
276. C2×C4×Dic43C23semidirect
280. C42×D43C23semidirect
281. C42×D43C23semidirect
282. C42×D43C23semidirect
288. C2×#41×C43C23semidirect
289. C2×#41×C43C23semidirect
290. C22×Q8×C43C23semidirect
291. C22×Q8×C43C23semidirect
294. C4⋊Q8×C43C23semidirect
295. #127×C43C23semidirect
296. #124×C43C23semidirect
297. #124×C43C23semidirect
298. #124×C43C23semidirect
299. #124×C43C23semidirect
300. #123×C43C23semidirect
301. C22⋊Q8×C43C23semidirect
302. #121×C43C23semidirect
303. #121×C43C23semidirect
304. #120×C43C23semidirect
305. C4×Q8×C43C23semidirect
306. C4×D4×C43C23semidirect
307. C4×D4×C43C23semidirect
308. #117×C43C23semidirect
309. C2×C22⋊C4×C43C23semidirect
310. C2×C42×C43C23semidirect
323. #41×C43C2×D4semidirect
365. #10621902C2×D4semidirect
381. #10621900C2×D4semidirect
401. #10621898C2×D4semidirect
610. #3500D43direct (N × H)
626. D43#3500direct (N × H)
633. C2×2−1+4C2×D43semidirect
640. C2×H(5,𝔽2)C2×D43semidirect
657. #548C2×D43semidirect
669. #546C2×D43semidirect
677. #536C2×D43semidirect
685. #535C2×D43semidirect
695. #532C2×D43semidirect
709. C2×#124C2×D43semidirect
720. C4×#41C2×D43semidirect
727. C43C2×#3500semidirect
770. C2×#41C22×D43semidirect
771. C2×#41C22×D43semidirect
785. C22×Q8C22×D43semidirect
786. C22×Q8C22×D43semidirect
816. C4⋊Q8C22×D43semidirect
821. #127C22×D43semidirect
839. #124C22×D43semidirect
840. #124C22×D43semidirect
841. #124C22×D43semidirect
842. #124C22×D43semidirect
848. #123C22×D43semidirect
854. C22⋊Q8C22×D43semidirect
867. #121C22×D43semidirect
868. #121C22×D43semidirect
874. #120C22×D43semidirect
878. C4×Q8C22×D43semidirect
891. C4×D4C22×D43semidirect
892. C4×D4C22×D43semidirect
897. #117C22×D43semidirect
909. C2×C22⋊C4C22×D43semidirect
918. C2×C42C22×D43semidirect
952. #41D4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×2−1+4×D432
C2×H(5,𝔽2)×D432
#191483892
#191483882
#191483872
#191483862
#191483852
#191483842
#191483832
#191483822
#191483812
#548×D432
#546×D432
#536×D432
#535×D432
#532×D432
C2×#124×D432
C4×#41×D432
C43×#35002
C2×#350043