Finite Group Databasebeta

← D43×#3501 #26004492

Subgroups — D43×#3501 #26004492

Order 11008.

7738 conjugacy classes of subgroups.

The subgroup lattice has 1158 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148398C211yesmaximal, characteristic, complemented
2#19148397C212yesmaximal, complemented
3#19148396C212yesmaximal, complemented
4#19148395C214yesmaximal, complemented
5#19148394C218yesmaximal, complemented
6#19148393C212yesmaximal, complemented
7#19148392C214yesmaximal, complemented
8#19148391C214yesmaximal, complemented
9#19148390C214yesmaximal, complemented
10#554×D43C218yesmaximal, complemented
11#554×D43C214yesmaximal, complemented
12D4×Q8×D43C214yesmaximal, complemented
13#544×D43C212yesmaximal, complemented
14#543×D43C214yesmaximal, complemented
15#533×D43C212yesmaximal, complemented
16C2×C22⋊Q8×D43C214yesmaximal, complemented
17#518×D43C212yesmaximal
18C2×C4×D4×D43C211yesmaximal, characteristic
19C43×#3501C211yesmaximal, characteristic, complemented
20C22×Q8×D43C2214yescomplemented
21C22×D4×D43C2211yescharacteristic
22C23×C4×D43C2212yes—
23#14583610C2218yescomplemented
24#14583610C2214yescomplemented
25#14583609C2214yescomplemented
26#14583609C2218yescomplemented
27#14583608C2218yescomplemented
28#14583608C2218yescomplemented
29#14583608C2218yescomplemented
30#14583607C2218yescomplemented
31#14583607C22116yescomplemented
32#14583606C2214yescomplemented
33#14583606C2218yescomplemented
34#14583605C2218yescomplemented
35#14583605C2218yescomplemented
36#14583605C2218yescomplemented
37#14583604C2218yescomplemented
38#14583604C22116yescomplemented
39#14583603C22116yescomplemented
40#14583603C22116yescomplemented
41#14583603C22116yescomplemented
42Q8×D172C2214yescomplemented
43D4×Dic86C2214yescomplemented
44D4×Dic86C2218yescomplemented
45#14583564C2214yescomplemented
46#14583564C2218yescomplemented
47Q8×C22⋊D43C2218yescomplemented
48#14583562C2218yescomplemented
49#14583562C22116yescomplemented
50#14583530C2212yescomplemented
51#14583529C2218yescomplemented
52#14583528C2218yescomplemented
53#14583527C2214yescomplemented
54#14583526C2218yescomplemented
55#14583525C2218yescomplemented
56#14583525C2214yescomplemented
57#14583524C2218yescomplemented
58#14583524C2218yescomplemented
59#14583524C22116yescomplemented
60#14583524C22116yescomplemented
61#14583456C2212yescomplemented
62#14583455C2214yescomplemented
63#14583454C2212yescomplemented
64#14583454C2212yescomplemented
65#14583453C2214yescomplemented
66#14583453C2214yescomplemented
67#14583452C2214yescomplemented
68#14583451C2214yescomplemented
69#14583451C2214yescomplemented
70C4⋊Q8×D43C2212yescomplemented
71C4⋊Q8×D43C2218yescomplemented
72C4⋊Q8×D43C2212yescomplemented
73#125×D43C2214yescomplemented
74#125×D43C2218yescomplemented
75C2×#13063305C2214yescomplemented
76C2×#13063304C2214yescomplemented
77C2×#13063303C2218yescomplemented
78C2×#13063302C2218yescomplemented
79C2×#13063301C2214yescomplemented
80C22⋊Q8×D43C2214yes—
81C22⋊Q8×D43C2218yes—
82C22⋊Q8×D43C2214yes—
83C22⋊Q8×D43C2218yescomplemented
84C22⋊Q8×D43C2218yescomplemented
85C22⋊Q8×D43C2218yescomplemented
86C22⋊Q8×D43C22116yescomplemented
87C22⋊Q8×D43C2218yescomplemented
88C22⋊Q8×D43C22116yescomplemented
89C22⋊Q8×D43C2218yescomplemented
90C22⋊Q8×D43C2218yescomplemented
91#14583374C2212yes—
92#14583373C2214yes—
93#14583372C2218yes—
94#14583371C2218yes—
95#14583371C2218yes—
96C4×Q8×D43C2214yescomplemented
97C4×Q8×D43C2214yescomplemented
98C2×C4×D172C2211yescharacteristic
99C2×D4×Dic43C2211yescharacteristic
100C2×#13063287C2211yescharacteristic
101C2×C4×C22⋊D43C2212yes—
102C2×(C22⋊D43)⋊C4C2212yes—
103C4×D4×D43C2218yes—
104C4×D4×D43C2218yes—
105C4×D4×D43C2214yes—
106C4×D4×D43C2214yes—
107C4×D4×D43C2214yes—
108C4×D4×D43C2214yes—
109#117×D43C2214yes—
110C2×C4⋊C4×D43C2211yescharacteristic
111C2×C4⋊C4×D43C2218yescomplemented
112C2×C4⋊C4×D43C2214yescomplemented
113C2×C22⋊C4×D43C2218yes—
114C2×C22⋊C4×D43C2212yes—
115C2×C42×D43C2211yescharacteristic
116C43×#554C2214yescomplemented
117C43×#554C2218yescomplemented
118D4×Q8×C43C2214yescomplemented
119C43×#544C2212yescomplemented
120C43×#543C2214yescomplemented
121C43×#533C2212yescomplemented
122C2×C22⋊Q8×C43C2214yescomplemented
123C43×#518C2212yes—
124C2×C4×D4×C43C2211yescharacteristic
125C24×D43C2312yes—
126C22×Dic86C2318yescomplemented
127C22×Dic86C2314yescomplemented
128C2×Q8×D43—416no—
129C2×Q8×D43C2314yes—
130C2×Q8×D43C2314yes—
131C2×Q8×D43C2318yes—
132C2×Q8×D43C2318yescomplemented
133C2×Q8×D43C2318yescomplemented
134C22×D172C2311yescharacteristic
135C22×C22⋊D43C2312yes—
136C2×D4×D43Q8116yescomplemented
137C2×D4×D43C2314yes—
138C2×D4×D43C2314yes—
139C23×Dic43C2312yes—
140C22×C4×D43—48no—
141C22×C4×D43C2311yescharacteristic
142C22×C4×D43C2314yes—
143C22×C4×D43C2311yescharacteristic
144C22×C4×D43C2312yes—
145C22×C4×D43C2318yes—
146C22×C4×D43C2318yes—
147C22×C4×D43C2314yes—
148C22×C4×D43C2314yes—
149C22×C4×D43C2314yes—
150C22×C4×D43C2312yes—
151C22×C4×D43C2312yes—
152C22×C4×D43C2311yescharacteristic
153#13063325C2312yescomplemented
154#13063325C2318yescomplemented
155#13063325C2312yescomplemented
156#13063324C2314yescomplemented
157#13063324C23116yescomplemented
158#13063324C2314yescomplemented
159#13063324C2318yescomplemented
160#13063324C2318yescomplemented
161#13063324C2314yescomplemented
162#13063324C2314yescomplemented
163#13063323C2314yescomplemented
164#13063323C23116yescomplemented
165#13063323C2314yescomplemented
166#13063317C2314yescomplemented
167#13063317C2318yescomplemented
168#13063316C2314yescomplemented
169#13063316C2318yescomplemented
170#13063316C2318yescomplemented
171#13063316C2314yescomplemented
172#13063315C2318yescomplemented
173#13063315C23116yescomplemented
174#13063315C23116yescomplemented
175#13063315C2318yescomplemented
176#13063305C2314yes—
177#13063305C2318yes—
178#13063305C2314yes—
179#13063305C2318yescomplemented
180#13063305C23116yescomplemented
181#13063305C23116yescomplemented
182#13063305C2318yescomplemented
183#13063304C2314yes—
184#13063304C2318yes—
185#13063304C2314yes—
186#13063304C2318yescomplemented
187#13063304C23116yescomplemented
188#13063304C23116yescomplemented
189#13063304C2318yescomplemented
190#13063303C2318yes—
191#13063303C23116yes—
192#13063303C2318yes—
193#13063303C23116yescomplemented
194#13063303C23116yescomplemented
195#13063303C23116yescomplemented
196#13063303C23116yescomplemented
197#13063303C23116yescomplemented
198#13063303C23116yescomplemented
199#13063302C2318yes—
200#13063302C23116yes—
201#13063302C2318yes—
202#13063302C23116yescomplemented
203#13063302C23116yescomplemented
204#13063302C23116yescomplemented
205#13063302C23116yescomplemented
206#13063302C23116yescomplemented
207#13063302C23116yescomplemented
208#13063301C2314yes—
209#13063301C2318yes—
210#13063301C2314yes—
211#13063301C23116yescomplemented
212#13063301C2318yescomplemented
213#13063301C2318yescomplemented
214#13063301C23116yescomplemented
215Q8×Dic43C2314yescomplemented
216Q8×Dic43C2314yescomplemented
217C4×Dic86C2318yescomplemented
218C4×Dic86C2314yescomplemented
219C4×Dic86C2314yescomplemented
220C4×Dic86C2318yescomplemented
221#13063290C2318yescomplemented
222#13063290C2314yescomplemented
223#13063290C2314yescomplemented
224#13063290C2318yescomplemented
225C4×D172C2318yes—
226C4×D172C2314yes—
227C4×D172C2314yes—
228C4×D172C2318yes—
229D4×Dic43C2318yes—
230D4×Dic43C2314yes—
231D4×Dic43C2314yes—
232D4×Dic43C2318yes—
233#13063287C2314yes—
234#13063287C2318yes—
235#13063287C2318yes—
236#13063287C2314yes—
237C4×C22⋊D43C23116yes—
238C4×C22⋊D43C2318yes—
239C4×C22⋊D43C2318yes—
240C4×C22⋊D43C23116yes—
241(C22⋊D43)⋊C4C2318yes—
242(C22⋊D43)⋊C4C23116yes—
243(C22⋊D43)⋊C4C23116yes—
244(C22⋊D43)⋊C4C2318yes—
245#13063284C2314yes—
246#13063283C2314yes—
247#13063283C2314yes—
248#13063282C2318yes—
249#13063281C2318yes—
250C2×C4⋊Dic43C2311yescharacteristic
251C2×C4⋊Dic43C2314yescomplemented
252C2×C4⋊Dic43C2318yescomplemented
253C2×Dic43⋊C4C2312yes—
254C2×Dic43⋊C4C2318yescomplemented
255C2×Dic43⋊C4C2318yescomplemented
256C2×Dic43⋊C4C2318yescomplemented
257C4⋊C4×D43C2314yes—
258C4⋊C4×D43C2314yes—
259C4⋊C4×D43C2318yes—
260C4⋊C4×D43C2314yes—
261C4⋊C4×D43C2318yes—
262C4⋊C4×D43C23116yes—
263C4⋊C4×D43C2314yes—
264C4⋊C4×D43C2314yes—
265C4⋊C4×D43C2318yes—
266C4⋊C4×D43C2314yes—
267C4⋊C4×D43C2318yescomplemented
268C4⋊C4×D43C23116yescomplemented
269C4⋊C4×D43C23116yescomplemented
270C4⋊C4×D43C2318yescomplemented
271C2×C22⋊Dic43C2312yes—
272C2×C22⋊Dic43C2318yes—
273C2×(C2×D43)⋊C4C2312yes—
274C2×(C2×D43)⋊C4C2312yes—
275C2×(C2×D43)⋊C4C2318yes—
276C2×(C2×D43)⋊C4C2318yes—
277C22⋊C4×D43C2318yes—
278C22⋊C4×D43C2318yes—
279C22⋊C4×D43C23116yes—
280C22⋊C4×D43C2318yes—
281C22⋊C4×D43C23116yes—
282C22⋊C4×D43C23116yes—
283C2×C4×Dic43C2311yescharacteristic
284C2×C4×Dic43C2311yescharacteristic
285C2×C4×Dic43C2311yescharacteristic
286C42×D43C2312yes—
287C42×D43C2312yes—
288C42×D43C2312yes—
289C42×D43C2312yes—
290C42×D43C2318yes—
291C22×Q8×C43C2314yescomplemented
292C22×D4×C43C2311yescharacteristic
293C23×C4×C43C2312yes—
294C4⋊Q8×C43C2312yescomplemented
295C4⋊Q8×C43C2318yescomplemented
296C4⋊Q8×C43C2312yescomplemented
297#125×C43C2314yescomplemented
298#125×C43C2318yescomplemented
299C22⋊Q8×C43C2314yes—
300C22⋊Q8×C43C2318yes—
301C22⋊Q8×C43C2314yes—
302C22⋊Q8×C43C2318yescomplemented
303C22⋊Q8×C43C23116yescomplemented
304C22⋊Q8×C43C2318yescomplemented
305C22⋊Q8×C43C23116yescomplemented
306C4×Q8×C43C2314yescomplemented
307C4×Q8×C43C2314yescomplemented
308C4×D4×C43C2314yes—
309C4×D4×C43C2318yes—
310C4×D4×C43C2314yes—
311C4×D4×C43C2318yes—
312#117×C43C2314yes—
313C2×C4⋊C4×C43C2311yescharacteristic
314C2×C4⋊C4×C43C2318yescomplemented
315C2×C4⋊C4×C43C2314yescomplemented
316C2×C22⋊C4×C43C2312yes—
317C2×C22⋊C4×C43C2318yes—
318C2×C42×C43C2311yescharacteristic
319C24×C43C2412yes—
320C23×D43—44no—
321C23×D43—44no—
322C23×D43C2×Q8116yescomplemented
323C23×D43C2411yescharacteristic
324C23×D43C2414yes—
325C23×D43C2412yes—
326C23×D43C2414yes—
327C2×Q8×C43—48no—
328C2×Q8×C43C2414yes—
329C2×Q8×C43C2414yes—
330C2×Q8×C43C2418yes—
331C2×D4×C43C2×Q818yescomplemented
332C2×D4×C43C2414yes—
333C22×C4×C43—44no—
334C22×C4×C43C2411yescharacteristic
335C22×C4×C43C2414yes—
336C22×C4×C43C2411yescharacteristic
337C22×C4×C43C2412yes—
338C22×C4×C43C2418yes—
339C22×C4×C43C2418yes—
340C22×C4×C43C2414yes—
341C22×C4×C43C2411yescharacteristic
342C2×C22⋊D43C2×Q8116yescomplemented
343C2×C22⋊D43C2418yes—
344C22×Dic43—44no—
345C22×Dic43C2411yescharacteristic
346C22×Dic43C2414yes—
347C22×Dic43C2411yescharacteristic
348C22×Dic43C2412yes—
349C22×Dic43C2418yes—
350C22×Dic43C2418yes—
351C22×Dic43C2414yes—
352C22×Dic43C2411yescharacteristic
353Q8×D43—216no—
354Q8×D43—416no—
355Q8×D43—416no—
356Q8×D43—416no—
357Q8×D43—48no—
358D4×D43C2×Q8132yescomplemented
359D4×D43C2×Q8132yescomplemented
360C2×D172C2×Q818yescomplemented
361C2×D172C2414yes—
362C2×C4×D43—24no—
363C2×C4×D43—216no—
364C2×C4×D43—48no—
365C2×C4×D43—44no—
366C2×C4×D43—416no—
367C2×C4×D43—42no—
368C2×C4×D43—416no—
369C2×C4×D43—48no—
370C2×C4×D43—44no—
371C2×C4×D43—48no—
372C2×C4×D43—44no—
373C2×C4×D43C2×Q818yescomplemented
374C2×C4×D43C2412yes—
375C2×C4×D43C2411yescharacteristic
376C2×C4×D43C2411yescharacteristic
377C2×C4×D43C2411yescharacteristic
378C2×C4×D43C2418yes—
379C2×C4×D43C2418yes—
380C2×C4×D43C2414yes—
381C2×C4×D43C2414yes—
382C2×C4×D43C2414yes—
383C2×C4×D43C2412yes—
384C2×C4×D43C2414yes—
385C2×C4×D43C24116yes—
386C2×C4×D43C24116yes—
387C2×C4×D43C2414yes—
388C2×C4×D43C2414yes—
389C2×C4×D43C2412yes—
390C2×C4×D43C2412yes—
391C2×C4×D43C2411yescharacteristic
392C2×Dic86—416no—
393C2×Dic86—48no—
394C2×Dic86C2418yes—
395C2×Dic86C2414yes—
396C2×Dic86C2418yes—
397C2×Dic86C2414yes—
398C2×Dic86C24116yes—
399C2×Dic86C2418yes—
400C4⋊C4×C43C2414yes—
401C4⋊C4×C43C2418yes—
402C4⋊C4×C43C2414yes—
403C4⋊C4×C43C2418yes—
404C4⋊C4×C43C24116yes—
405C4⋊C4×C43C2414yes—
406C4⋊C4×C43C2414yes—
407C4⋊C4×C43C2418yes—
408C4⋊C4×C43C2414yes—
409C22⋊C4×C43C2418yes—
410C22⋊C4×C43C2418yes—
411C22⋊C4×C43C24116yes—
412C42×C43C2412yes—
413C42×C43C2412yes—
414C42×C43C2418yes—
415C22⋊Dic43C2418yes—
416C22⋊Dic43C2418yes—
417C22⋊Dic43C24116yes—
418(C2×D43)⋊C4C2418yes—
419(C2×D43)⋊C4C2418yes—
420(C2×D43)⋊C4C2418yes—
421(C2×D43)⋊C4C24116yes—
422(C2×D43)⋊C4C24116yes—
423(C2×D43)⋊C4C2418yes—
424C4⋊Dic43C2414yes—
425C4⋊Dic43C2414yes—
426C4⋊Dic43C2418yes—
427C4⋊Dic43C2418yes—
428C4⋊Dic43C24116yes—
429C4⋊Dic43C2414yes—
430C4⋊Dic43C2414yes—
431C4⋊Dic43C2414yes—
432C4⋊Dic43C2418yes—
433Dic43⋊C4C2418yes—
434Dic43⋊C4C2418yes—
435Dic43⋊C4C2418yes—
436Dic43⋊C4C2418yes—
437Dic43⋊C4C24116yes—
438Dic43⋊C4C24116yes—
439Dic43⋊C4C24116yes—
440Dic43⋊C4C2418yes—
441Dic43⋊C4C2418yes—
442Dic43⋊C4C2418yes—
443Dic43⋊C4C2418yes—
444Dic43⋊C4C2418yes—
445C4×Dic43C2412yes—
446C4×Dic43C2412yes—
447C4×Dic43C2412yes—
448C4×Dic43C2412yes—
449C4×Dic43C2412yes—
450C4×Dic43C2412yes—
451C4×Dic43C2418yes—
452C4×Dic43C2418yes—
453C4×Dic43C2418yes—
454C23×C43—42no—
455C23×C43—42no—
456C23×C43C22×Q818yescomplemented
457C23×C43C2511yescharacteristic
458C23×C43C2514yes—
459C22×D43—28no—
460C22×D43—22no—
461C22×D43—28no—
462C22×D43—22no—
463C22×D43—432no—
464C22×D43—44no—
465C22×D43—42no—
466C22×D43—44no—
467C22×D43—42no—
468C22×D43C22×Q814yes—
469C22×D43C22×Q8116yes—
470C22×D43C22×Q818yescomplemented
471C22×D43C22×Q8116yescomplemented
472C22×D43C2511yescharacteristic
473C22×D43C2514yes—
474C22×D43C2511yescharacteristic
475Q8×C43—28no—
476Q8×C43—48no—
477Q8×C43—44no—
478D4×C43C22×Q8116yescomplemented
479C2×C4×C43—28no—
480C2×C4×C43—22no—
481C2×C4×C43—48no—
482C2×C4×C43—42no—
483C2×C4×C43—44no—
484C2×C4×C43—41no—
485C2×C4×C43—48no—
486C2×C4×C43C22×Q814yescomplemented
487C2×C4×C43C2511yescharacteristic
488C2×C4×C43C2512yes—
489C2×C4×C43C2518yes—
490C2×C4×C43C2518yes—
491C2×C4×C43C2514yes—
492C2×C4×C43C2512yes—
493C2×C4×C43C2511yescharacteristic
494C22⋊D43C22×Q8132yescomplemented
495C2×Dic43—28no—
496C2×Dic43—22no—
497C2×Dic43—48no—
498C2×Dic43—42no—
499C2×Dic43—44no—
500C2×Dic43—41no—
501C2×Dic43—48no—
502C2×Dic43C22×Q814yescomplemented
503C2×Dic43C2511yescharacteristic
504C2×Dic43C2512yes—
505C2×Dic43C2518yes—
506C2×Dic43C2518yes—
507C2×Dic43C2514yes—
508C2×Dic43C2512yes—
509C2×Dic43C2511yescharacteristic
510D172C22×Q8116yescomplemented
511C4×D43—22no—
512C4×D43—28no—
513C4×D43—216no—
514C4×D43—216no—
515C4×D43—24no—
516C4×D43—22no—
517C4×D43—28no—
518C4×D43—22no—
519C4×D43—28no—
520C4×D43—44no—
521C4×D43—44no—
522C4×D43—44no—
523C4×D43—42no—
524C4×D43—416no—
525C4×D43—416no—
526C4×D43C22×Q818yes—
527C4×D43C22×Q818yescomplemented
528C4×D43H(5,𝔽2)14yes—
529Dic86—28no—
530Dic86—216no—
531Dic86—48no—
532Dic86—416no—
533Dic86—48no—
534Dic86—44no—
535C2×#3501—431nomaximal, Sylow
536C22×C43—21no—
537C22×C43—24no—
538C22×C43—21no—
539C22×C43—24no—
540C22×C43—48no—
541C22×C43C23×Q812yes—
542C22×C43C23×Q818yes—
543C22×C43C2611yescharacteristic
544C2×D43—21no—
545C2×D43—24no—
546C2×D43—21no—
547C2×D43—24no—
548C2×D43—28no—
549C2×D43—232no—
550C2×D43—416no—
551C2×D43—48no—
552C2×D43C23×Q812yes—
553C2×D43C23×Q818yes—
554C2×D43C23×Q812yes—
555C2×D43C2×H(5,𝔽2)12yes—
556C2×D43#58512yes—
557C4×C43—28no—
558C4×C43—24no—
559C4×C43—21no—
560C4×C43—22no—
561C4×C43—28no—
562C4×C43C23×Q814yes—
563C4×C43C2×H(5,𝔽2)12yes—
564Dic43—28no—
565Dic43—24no—
566Dic43—21no—
567Dic43—22no—
568Dic43—28no—
569Dic43C23×Q814yes—
570Dic43C2×H(5,𝔽2)12yes—
571#3501—434no—
572#3501—438no—
573#3501—434no—
574#3501—432no—
575#3501—434no—
576#3501—432no—
577#3501—434no—
578#3501—432no—
579#3501—431no—
580#3501D4311yescharacteristic, direct product factor
581C2×#554—434no—
582C2×#554—438no—
583C2×D4×Q8—434no—
584C2×#544—432no—
585C2×#543—434no—
586C2×#533—432no—
587C22×C22⋊Q8—434no—
588C2×#518—432no—
589C22×C4×D4—431no—
590C2×C43—22no—
591C2×C43—28no—
592C2×C43C24×Q811yescharacteristic
593C2×C43C22×H(5,𝔽2)11yescharacteristic
594C2×C43C2×#58511yescharacteristic
595D43—22no—
596D43—28no—
597D43#350114yesdirect product factor
598C23×Q8—434no—
599C23×D4—431no—
600C24×C4—432no—
601#554—438no—
602#554—434no—
603#554—438no—
604#554—438no—
605#554—438no—
606#554—4316no—
607#554—4316no—
608#554—4316no—
609#554—438no—
610#554—4316no—
611#554—434no—
612#554—438no—
613#554—438no—
614#554—434no—
615#554—438no—
616#554—438no—
617#554—438no—
618#554—438no—
619#554—4316no—
620#554C2×D4314yescomplemented
621#554C2×D4318yescomplemented
622D4×Q8—438no—
623D4×Q8—438no—
624D4×Q8—434no—
625D4×Q8—438no—
626D4×Q8—4316no—
627D4×Q8—434no—
628D4×Q8—438no—
629D4×Q8—434no—
630D4×Q8C2×D4314yescomplemented
631#544—438no—
632#544—438no—
633#544—438no—
634#544—434no—
635#544—432no—
636#544C2×D4312yescomplemented
637#543—438no—
638#543—438no—
639#543—4316no—
640#543—4316no—
641#543—438no—
642#543—434no—
643#543C2×D4314yescomplemented
644#533—432no—
645#533—432no—
646#533—434no—
647#533—434no—
648#533—434no—
649#533—434no—
650#533—434no—
651#533—434no—
652#533—432no—
653#533C2×D4312yescomplemented
654C2×C4⋊Q8—432no—
655C2×C4⋊Q8—432no—
656C2×C4⋊Q8—438no—
657C2×#125—434no—
658C2×#125—438no—
659C2×C22⋊Q8—434no—
660C2×C22⋊Q8—434no—
661C2×C22⋊Q8—434no—
662C2×C22⋊Q8—438no—
663C2×C22⋊Q8—434no—
664C2×C22⋊Q8—438no—
665C2×C22⋊Q8—438no—
666C2×C22⋊Q8—438no—
667C2×C22⋊Q8—438no—
668C2×C22⋊Q8—438no—
669C2×C22⋊Q8—438no—
670C2×C22⋊Q8—4316no—
671C2×C22⋊Q8—4316no—
672C2×C22⋊Q8—438no—
673C2×C22⋊Q8—434no—
674C2×C22⋊Q8—438no—
675C2×C22⋊Q8C2×D4314yescomplemented
676#518—432no—
677#518—438no—
678#518—438no—
679#518—434no—
680#518—438no—
681#518C2×D4312yes—
682C2×C4×Q8—434no—
683C2×C4×Q8—434no—
684C2×C4×D4—431no—
685C2×C4×D4—432no—
686C2×C4×D4—434no—
687C2×C4×D4—434no—
688C2×C4×D4—434no—
689C2×C4×D4—434no—
690C2×C4×D4—438no—
691C2×C4×D4—438no—
692C2×C4×D4—431no—
693C2×C4×D4—432no—
694C2×C4×D4—431no—
695C2×C4×D4C2×D4311yescharacteristic
696C2×#117—434no—
697C22×C4⋊C4—431no—
698C22×C4⋊C4—438no—
699C22×C4⋊C4—434no—
700C22×C22⋊C4—432no—
701C22×C22⋊C4—438no—
702C22×C42—431no—
703C43C2×#350111yescharacteristic, complemented, Sylow
704C25—432no—
705C22×Q8—434no—
706C22×Q8—434no—
707C22×Q8—438no—
708C22×Q8—438no—
709C22×Q8—438no—
710C22×Q8—438no—
711C22×Q8—434no—
712C22×Q8—17216no—
713C22×Q8C22×D4314yescomplemented
714C22×D4—432no—
715C22×D4—4316no—
716C22×D4—434no—
717C22×D4—434no—
718C22×D4—431no—
719C22×D4C22×D4311yescharacteristic
720C23×C4—431no—
721C23×C4—432no—
722C23×C4—434no—
723C23×C4—431no—
724C23×C4—431no—
725C23×C4—438no—
726C23×C4—438no—
727C23×C4—432no—
728C23×C4—434no—
729C23×C4—432no—
730C23×C4—434no—
731C23×C4—432no—
732C23×C4—434no—
733C23×C4—1728no—
734C23×C4C22×D4312yes—
735C4⋊Q8—434no—
736C4⋊Q8—434no—
737C4⋊Q8—4316no—
738C4⋊Q8—434no—
739C4⋊Q8—434no—
740C4⋊Q8—434no—
741C4⋊Q8—434no—
742C4⋊Q8—4316no—
743C4⋊Q8—438no—
744C4⋊Q8—438no—
745C4⋊Q8—432no—
746C4⋊Q8—432no—
747C4⋊Q8—438no—
748C4⋊Q8C22×D4312yescomplemented
749C4⋊Q8C22×D4312yescomplemented
750C4⋊Q8C22×D4318yescomplemented
751#125—438no—
752#125—438no—
753#125—434no—
754#125—434no—
755#125—4316no—
756#125—4316no—
757#125—438no—
758#125—438no—
759#125—434no—
760#125—438no—
761#125C22×D4314yescomplemented
762#125C22×D4318yescomplemented
763C22⋊Q8—434no—
764C22⋊Q8—438no—
765C22⋊Q8—438no—
766C22⋊Q8—438no—
767C22⋊Q8—434no—
768C22⋊Q8—4316no—
769C22⋊Q8—4316no—
770C22⋊Q8—434no—
771C22⋊Q8—438no—
772C22⋊Q8—438no—
773C22⋊Q8—438no—
774C22⋊Q8—434no—
775C22⋊Q8—4316no—
776C22⋊Q8—4316no—
777C22⋊Q8—438no—
778C22⋊Q8—434no—
779C22⋊Q8—4316no—
780C22⋊Q8—438no—
781C22⋊Q8—4316no—
782C22⋊Q8—438no—
783C22⋊Q8—4316no—
784C22⋊Q8—438no—
785C22⋊Q8—438no—
786C22⋊Q8—434no—
787C22⋊Q8—4316no—
788C22⋊Q8—4316no—
789C22⋊Q8—4316no—
790C22⋊Q8—4316no—
791C22⋊Q8—4316no—
792C22⋊Q8—4316no—
793C22⋊Q8—438no—
794C22⋊Q8—4316no—
795C22⋊Q8—4316no—
796C22⋊Q8—4316no—
797C22⋊Q8—438no—
798C22⋊Q8—4316no—
799C22⋊Q8—4316no—
800C22⋊Q8—4316no—
801C22⋊Q8—4316no—
802C22⋊Q8C22×D4314yes—
803C22⋊Q8C22×D4318yes—
804C22⋊Q8C22×D4314yes—
805C22⋊Q8C22×D4318yescomplemented
806C22⋊Q8C22×D4318yescomplemented
807C22⋊Q8C22×D43116yescomplemented
808C22⋊Q8C22×D43116yescomplemented
809C4×Q8—434no—
810C4×Q8—434no—
811C4×Q8—438no—
812C4×Q8—434no—
813C4×Q8—434no—
814C4×Q8—438no—
815C4×Q8—438no—
816C4×Q8—434no—
817C4×Q8—438no—
818C4×Q8—434no—
819C4×Q8C22×D4314yescomplemented
820C4×Q8C22×D4314yescomplemented
821C4×D4—434no—
822C4×D4—434no—
823C4×D4—438no—
824C4×D4—438no—
825C4×D4—438no—
826C4×D4—438no—
827C4×D4—4316no—
828C4×D4—4316no—
829C4×D4—434no—
830C4×D4—434no—
831C4×D4—438no—
832C4×D4—438no—
833C4×D4—438no—
834C4×D4—438no—
835C4×D4—4316no—
836C4×D4—4316no—
837C4×D4—434no—
838C4×D4—434no—
839C4×D4—438no—
840C4×D4—438no—
841C4×D4C22×D4314yes—
842C4×D4C22×D4314yes—
843C4×D4C22×D4318yes—
844C4×D4C22×D4318yes—
845#117—434no—
846#117—434no—
847#117—434no—
848#117—438no—
849#117—438no—
850#117C22×D4314yes—
851C2×C4⋊C4—432no—
852C2×C4⋊C4—431no—
853C2×C4⋊C4—438no—
854C2×C4⋊C4—438no—
855C2×C4⋊C4—438no—
856C2×C4⋊C4—438no—
857C2×C4⋊C4—434no—
858C2×C4⋊C4—438no—
859C2×C4⋊C4—434no—
860C2×C4⋊C4—434no—
861C2×C4⋊C4—434no—
862C2×C4⋊C4—438no—
863C2×C4⋊C4—4316no—
864C2×C4⋊C4—4316no—
865C2×C4⋊C4—4316no—
866C2×C4⋊C4—438no—
867C2×C4⋊C4—438no—
868C2×C4⋊C4—434no—
869C2×C4⋊C4—434no—
870C2×C4⋊C4—438no—
871C2×C4⋊C4—434no—
872C2×C4⋊C4C22×D4311yescharacteristic
873C2×C4⋊C4C22×D4318yescomplemented
874C2×C4⋊C4C22×D4314yescomplemented
875C2×C22⋊C4—432no—
876C2×C22⋊C4—438no—
877C2×C22⋊C4—432no—
878C2×C22⋊C4—432no—
879C2×C22⋊C4—438no—
880C2×C22⋊C4—438no—
881C2×C22⋊C4—438no—
882C2×C22⋊C4—438no—
883C2×C22⋊C4—4316no—
884C2×C22⋊C4—438no—
885C2×C22⋊C4—4316no—
886C2×C22⋊C4—4316no—
887C2×C22⋊C4C22×D4312yes—
888C2×C22⋊C4C22×D4318yes—
889C2×C42—431no—
890C2×C42—431no—
891C2×C42—431no—
892C2×C42—438no—
893C2×C42—432no—
894C2×C42—432no—
895C2×C42—432no—
896C2×C42—432no—
897C2×C42C22×D4311yescharacteristic
898C24—431no—
899C24—434no—
900C24—4316no—
901C24—434no—
902C24—432no—
903C24—1724no—
904C24—1724no—
905C24C23×D4312yes—
906C2×Q8—48no—
907C2×Q8—438no—
908C2×Q8—434no—
909C2×Q8—438no—
910C2×Q8—434no—
911C2×Q8—438no—
912C2×Q8—4316no—
913C2×Q8—8616no—
914C2×Q8—1728no—
915C2×Q8—17216no—
916C2×Q8—17216no—
917C2×Q8—1728no—
918C2×Q8—17216no—
919C2×Q8—17216no—
920C2×Q8C23×D4314yes—
921C2×Q8C23×D4314yes—
922C2×Q8C23×D4318yes—
923C2×D4—4316no—
924C2×D4—438no—
925C2×D4—4332no—
926C2×D4—4332no—
927C2×D4—438no—
928C2×D4—434no—
929C2×D4Q8×D4318yescomplemented
930C2×D4C23×D4314yes—
931C22×C4—44no—
932C22×C4—431no—
933C22×C4—438no—
934C22×C4—432no—
935C22×C4—431no—
936C22×C4—432no—
937C22×C4—431no—
938C22×C4—434no—
939C22×C4—431no—
940C22×C4—438no—
941C22×C4—438no—
942C22×C4—432no—
943C22×C4—434no—
944C22×C4—432no—
945C22×C4—431no—
946C22×C4—431no—
947C22×C4—431no—
948C22×C4—438no—
949C22×C4—438no—
950C22×C4—434no—
951C22×C4—434no—
952C22×C4—434no—
953C22×C4—432no—
954C22×C4—4316no—
955C22×C4—4316no—
956C22×C4—434no—
957C22×C4—434no—
958C22×C4—434no—
959C22×C4—864no—
960C22×C4—8616no—
961C22×C4—1724no—
962C22×C4—1728no—
963C22×C4—1728no—
964C22×C4—1724no—
965C22×C4—1728no—
966C22×C4—1724no—
967C22×C4—17216no—
968C22×C4—17216no—
969C22×C4—1722no—
970C22×C4—1724no—
971C22×C4C23×D4311yescharacteristic
972C22×C4C23×D4314yes—
973C22×C4C23×D4311yescharacteristic
974C22×C4C23×D4318yes—
975C22×C4C23×D4312yes—
976C22×C4C23×D4318yes—
977C22×C4C23×D4314yes—
978C22×C4C23×D4311yescharacteristic
979C4⋊C4—438no—
980C4⋊C4—438no—
981C4⋊C4—438no—
982C4⋊C4—438no—
983C4⋊C4—434no—
984C4⋊C4—438no—
985C4⋊C4—434no—
986C4⋊C4—4316no—
987C4⋊C4—438no—
988C4⋊C4—4316no—
989C4⋊C4—4316no—
990C4⋊C4—4316no—
991C4⋊C4—438no—
992C4⋊C4—434no—
993C4⋊C4—438no—
994C4⋊C4—434no—
995C4⋊C4—438no—
996C4⋊C4—438no—
997C4⋊C4—438no—
998C4⋊C4—438no—
999C4⋊C4—434no—
1000C4⋊C4C23×D4318yes—
1001C4⋊C4C23×D4314yes—
1002C4⋊C4C23×D4314yes—
1003C4⋊C4C23×D4318yes—
1004C4⋊C4C23×D43116yes—
1005C4⋊C4C23×D4314yes—
1006C4⋊C4C23×D4314yes—
1007C4⋊C4C23×D4318yes—
1008C4⋊C4C23×D4314yes—
1009C22⋊C4—438no—
1010C22⋊C4—438no—
1011C22⋊C4—4316no—
1012C22⋊C4—438no—
1013C22⋊C4—438no—
1014C22⋊C4—438no—
1015C22⋊C4—4316no—
1016C22⋊C4—4316no—
1017C22⋊C4—438no—
1018C22⋊C4C23×D4318yes—
1019C22⋊C4C23×D4318yes—
1020C22⋊C4C23×D43116yes—
1021C42—432no—
1022C42—432no—
1023C42—432no—
1024C42—432no—
1025C42—432no—
1026C42—432no—
1027C42—438no—
1028C42—438no—
1029C42—438no—
1030C42C23×D4312yes—
1031C42C23×D4312yes—
1032C42C23×D4318yes—
1033C23—42no—
1034C23—42no—
1035C23—431no—
1036C23—434no—
1037C23—4316no—
1038C23—431no—
1039C23—434no—
1040C23—4316no—
1041C23—438no—
1042C23—868no—
1043C23—862no—
1044C23—868no—
1045C23—862no—
1046C23—1724no—
1047C23—1722no—
1048C23—1724no—
1049C23—1722no—
1050C23—17232no—
1051C23C2×Q8×D4318yescomplemented
1052C23C24×D4311yescharacteristic
1053C23C24×D4314yes—
1054Q8—28no—
1055Q8—48no—
1056Q8—44no—
1057Q8—8616no—
1058Q8—868no—
1059Q8—1728no—
1060Q8—17216no—
1061Q8—1728no—
1062Q8—1724no—
1063D4—4332no—
1064D4—4316no—
1065D4C2×Q8×D43116yescomplemented
1066C2×C4—22no—
1067C2×C4—28no—
1068C2×C4—44no—
1069C2×C4—42no—
1070C2×C4—48no—
1071C2×C4—48no—
1072C2×C4—41no—
1073C2×C4—434no—
1074C2×C4—432no—
1075C2×C4—431no—
1076C2×C4—438no—
1077C2×C4—438no—
1078C2×C4—434no—
1079C2×C4—432no—
1080C2×C4—431no—
1081C2×C4—438no—
1082C2×C4—438no—
1083C2×C4—434no—
1084C2×C4—862no—
1085C2×C4—868no—
1086C2×C4—862no—
1087C2×C4—868no—
1088C2×C4—8616no—
1089C2×C4—8616no—
1090C2×C4—864no—
1091C2×C4—862no—
1092C2×C4—868no—
1093C2×C4—862no—
1094C2×C4—868no—
1095C2×C4—1724no—
1096C2×C4—1724no—
1097C2×C4—1724no—
1098C2×C4—17216no—
1099C2×C4—17216no—
1100C2×C4—1722no—
1101C2×C4—1724no—
1102C2×C4—1722no—
1103C2×C4—1728no—
1104C2×C4—1728no—
1105C2×C4—1721no—
1106C2×C4C2×Q8×D4314yescomplemented
1107C2×C4C24×D4312yes—
1108C2×C4C24×D4311yescharacteristic
1109C2×C4C24×D4318yes—
1110C2×C4C24×D4318yes—
1111C2×C4C24×D4314yes—
1112C2×C4C24×D4312yes—
1113C2×C4C24×D4311yescharacteristic
1114C22—24no—
1115C22—21no—
1116C22—24no—
1117C22—21no—
1118C22—48no—
1119C22—432no—
1120C22—432no—
1121C22—432no—
1122C22—432no—
1123C22—438no—
1124C22—868no—
1125C22—8632no—
1126C22—864no—
1127C22—861no—
1128C22—864no—
1129C22—861no—
1130C22—1728no—
1131C22—17216no—
1132C22C22×Q8×D4312yes—
1133C22C22×Q8×D4318yes—
1134C22C25×D4311yescharacteristic
1135C4—21no—
1136C4—24no—
1137C4—28no—
1138C4—28no—
1139C4—22no—
1140C4—434no—
1141C4—432no—
1142C4—861no—
1143C4—864no—
1144C4—868no—
1145C4—868no—
1146C4—862no—
1147C4C22×Q8×D4314yes—
1148C4H(5,𝔽2)×D4312yes—
1149C2—22no—
1150C2—28no—
1151C2—434no—
1152C2—862no—
1153C2—868no—
1154C2C23×Q8×D4311yescharacteristic
1155C2C2×H(5,𝔽2)×D4311yescharacteristic
1156C2#585×D4311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3501C2
prime radicalC22×D4×D43C22
hypercenter#3501D43
hypocenterC43C2×#3501
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3501

Complements

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

NH ≅ G/Ntype
1. #19148398C2semidirect
2. #19148397C2semidirect
3. #19148396C2semidirect
4. #19148395C2semidirect
5. #19148394C2semidirect
6. #19148393C2semidirect
7. #19148392C2semidirect
8. #19148391C2semidirect
9. #19148390C2semidirect
10. #554×D43C2semidirect
11. #554×D43C2semidirect
12. D4×Q8×D43C2semidirect
13. #544×D43C2semidirect
14. #543×D43C2semidirect
15. #533×D43C2semidirect
16. C2×C22⋊Q8×D43C2semidirect
19. C43×#3501C2semidirect
20. C22×Q8×D43C22semidirect
23. #14583610C22semidirect
24. #14583610C22semidirect
25. #14583609C22semidirect
26. #14583609C22semidirect
27. #14583608C22semidirect
28. #14583608C22semidirect
29. #14583608C22semidirect
30. #14583607C22semidirect
31. #14583607C22semidirect
32. #14583606C22semidirect
33. #14583606C22semidirect
34. #14583605C22semidirect
35. #14583605C22semidirect
36. #14583605C22semidirect
37. #14583604C22semidirect
38. #14583604C22semidirect
39. #14583603C22semidirect
40. #14583603C22semidirect
41. #14583603C22semidirect
42. Q8×D172C22semidirect
43. D4×Dic86C22semidirect
44. D4×Dic86C22semidirect
45. #14583564C22semidirect
46. #14583564C22semidirect
47. Q8×C22⋊D43C22semidirect
48. #14583562C22semidirect
49. #14583562C22semidirect
50. #14583530C22semidirect
51. #14583529C22semidirect
52. #14583528C22semidirect
53. #14583527C22semidirect
54. #14583526C22semidirect
55. #14583525C22semidirect
56. #14583525C22semidirect
57. #14583524C22semidirect
58. #14583524C22semidirect
59. #14583524C22semidirect
60. #14583524C22semidirect
61. #14583456C22semidirect
62. #14583455C22semidirect
63. #14583454C22semidirect
64. #14583454C22semidirect
65. #14583453C22semidirect
66. #14583453C22semidirect
67. #14583452C22semidirect
68. #14583451C22semidirect
69. #14583451C22semidirect
70. C4⋊Q8×D43C22semidirect
71. C4⋊Q8×D43C22semidirect
72. C4⋊Q8×D43C22semidirect
73. #125×D43C22semidirect
74. #125×D43C22semidirect
75. C2×#13063305C22semidirect
76. C2×#13063304C22semidirect
77. C2×#13063303C22semidirect
78. C2×#13063302C22semidirect
79. C2×#13063301C22semidirect
83. C22⋊Q8×D43C22semidirect
84. C22⋊Q8×D43C22semidirect
85. C22⋊Q8×D43C22semidirect
86. C22⋊Q8×D43C22semidirect
87. C22⋊Q8×D43C22semidirect
88. C22⋊Q8×D43C22semidirect
89. C22⋊Q8×D43C22semidirect
90. C22⋊Q8×D43C22semidirect
96. C4×Q8×D43C22semidirect
97. C4×Q8×D43C22semidirect
111. C2×C4⋊C4×D43C22semidirect
112. C2×C4⋊C4×D43C22semidirect
116. C43×#554C22semidirect
117. C43×#554C22semidirect
118. D4×Q8×C43C22semidirect
119. C43×#544C22semidirect
120. C43×#543C22semidirect
121. C43×#533C22semidirect
122. C2×C22⋊Q8×C43C22semidirect
126. C22×Dic86C23semidirect
127. C22×Dic86C23semidirect
132. C2×Q8×D43C23semidirect
133. C2×Q8×D43C23semidirect
136. C2×D4×D43Q8semidirect
153. #13063325C23semidirect
154. #13063325C23semidirect
155. #13063325C23semidirect
156. #13063324C23semidirect
157. #13063324C23semidirect
158. #13063324C23semidirect
159. #13063324C23semidirect
160. #13063324C23semidirect
161. #13063324C23semidirect
162. #13063324C23semidirect
163. #13063323C23semidirect
164. #13063323C23semidirect
165. #13063323C23semidirect
166. #13063317C23semidirect
167. #13063317C23semidirect
168. #13063316C23semidirect
169. #13063316C23semidirect
170. #13063316C23semidirect
171. #13063316C23semidirect
172. #13063315C23semidirect
173. #13063315C23semidirect
174. #13063315C23semidirect
175. #13063315C23semidirect
179. #13063305C23semidirect
180. #13063305C23semidirect
181. #13063305C23semidirect
182. #13063305C23semidirect
186. #13063304C23semidirect
187. #13063304C23semidirect
188. #13063304C23semidirect
189. #13063304C23semidirect
193. #13063303C23semidirect
194. #13063303C23semidirect
195. #13063303C23semidirect
196. #13063303C23semidirect
197. #13063303C23semidirect
198. #13063303C23semidirect
202. #13063302C23semidirect
203. #13063302C23semidirect
204. #13063302C23semidirect
205. #13063302C23semidirect
206. #13063302C23semidirect
207. #13063302C23semidirect
211. #13063301C23semidirect
212. #13063301C23semidirect
213. #13063301C23semidirect
214. #13063301C23semidirect
215. Q8×Dic43C23semidirect
216. Q8×Dic43C23semidirect
217. C4×Dic86C23semidirect
218. C4×Dic86C23semidirect
219. C4×Dic86C23semidirect
220. C4×Dic86C23semidirect
221. #13063290C23semidirect
222. #13063290C23semidirect
223. #13063290C23semidirect
224. #13063290C23semidirect
251. C2×C4⋊Dic43C23semidirect
252. C2×C4⋊Dic43C23semidirect
254. C2×Dic43⋊C4C23semidirect
255. C2×Dic43⋊C4C23semidirect
256. C2×Dic43⋊C4C23semidirect
267. C4⋊C4×D43C23semidirect
268. C4⋊C4×D43C23semidirect
269. C4⋊C4×D43C23semidirect
270. C4⋊C4×D43C23semidirect
291. C22×Q8×C43C23semidirect
294. C4⋊Q8×C43C23semidirect
295. C4⋊Q8×C43C23semidirect
296. C4⋊Q8×C43C23semidirect
297. #125×C43C23semidirect
298. #125×C43C23semidirect
302. C22⋊Q8×C43C23semidirect
303. C22⋊Q8×C43C23semidirect
304. C22⋊Q8×C43C23semidirect
305. C22⋊Q8×C43C23semidirect
306. C4×Q8×C43C23semidirect
307. C4×Q8×C43C23semidirect
314. C2×C4⋊C4×C43C23semidirect
315. C2×C4⋊C4×C43C23semidirect
322. C23×D43C2×Q8semidirect
331. C2×D4×C43C2×Q8semidirect
342. C2×C22⋊D43C2×Q8semidirect
358. D4×D43C2×Q8semidirect
359. D4×D43C2×Q8semidirect
360. C2×D172C2×Q8semidirect
373. C2×C4×D43C2×Q8semidirect
456. C23×C43C22×Q8semidirect
470. C22×D43C22×Q8semidirect
471. C22×D43C22×Q8semidirect
478. D4×C43C22×Q8semidirect
486. C2×C4×C43C22×Q8semidirect
494. C22⋊D43C22×Q8semidirect
502. C2×Dic43C22×Q8semidirect
510. D172C22×Q8semidirect
527. C4×D43C22×Q8semidirect
580. #3501D43direct (N × H)
597. D43#3501direct (N × H)
620. #554C2×D43semidirect
621. #554C2×D43semidirect
630. D4×Q8C2×D43semidirect
636. #544C2×D43semidirect
643. #543C2×D43semidirect
653. #533C2×D43semidirect
675. C2×C22⋊Q8C2×D43semidirect
703. C43C2×#3501semidirect
713. C22×Q8C22×D43semidirect
748. C4⋊Q8C22×D43semidirect
749. C4⋊Q8C22×D43semidirect
750. C4⋊Q8C22×D43semidirect
761. #125C22×D43semidirect
762. #125C22×D43semidirect
805. C22⋊Q8C22×D43semidirect
806. C22⋊Q8C22×D43semidirect
807. C22⋊Q8C22×D43semidirect
808. C22⋊Q8C22×D43semidirect
819. C4×Q8C22×D43semidirect
820. C4×Q8C22×D43semidirect
873. C2×C4⋊C4C22×D43semidirect
874. C2×C4⋊C4C22×D43semidirect
929. C2×D4Q8×D43semidirect
1051. C23C2×Q8×D43semidirect
1065. D4C2×Q8×D43semidirect
1106. C2×C4C2×Q8×D43semidirect

Maximal subgroups

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

subgroupindex
#191483982
#191483972
#191483962
#191483952
#191483942
#191483932
#191483922
#191483912
#191483902
#554×D432
D4×Q8×D432
#544×D432
#543×D432
#533×D432
C2×C22⋊Q8×D432
#518×D432
C2×C4×D4×D432
C43×#35012
C2×#350143