Finite Group Databasebeta

← #3501×D83 #36312299

Subgroups — #3501×D83 #36312299

Order 21248.

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#24921266C211yesmaximal, characteristic, complemented
2#24921265C212yesmaximal, complemented
3#24921264C212yesmaximal, complemented
4#24921263C214yesmaximal, complemented
5#24921262C218yesmaximal, complemented
6#24921261C212yesmaximal, complemented
7#24921260C214yesmaximal, complemented
8#24921259C214yesmaximal, complemented
9#24921258C214yesmaximal, complemented
10#554×D83C218yesmaximal, complemented
11#554×D83C214yesmaximal, complemented
12D4×Q8×D83C214yesmaximal, complemented
13#544×D83C212yesmaximal, complemented
14#543×D83C214yesmaximal, complemented
15#533×D83C212yesmaximal, complemented
16C2×C22⋊Q8×D83C214yesmaximal, complemented
17#518×D83C212yesmaximal
18C2×C4×D4×D83C211yesmaximal, characteristic
19C83×#3501C211yesmaximal, characteristic, complemented
20C22×Q8×D83C2214yescomplemented
21C22×D4×D83C2211yescharacteristic
22C23×C4×D83C2212yes—
23#19128412C2218yescomplemented
24#19128412C2214yescomplemented
25#19128411C2214yescomplemented
26#19128411C2218yescomplemented
27#19128410C2218yescomplemented
28#19128410C2218yescomplemented
29#19128410C2218yescomplemented
30#19128409C2218yescomplemented
31#19128409C22116yescomplemented
32#19128408C2214yescomplemented
33#19128408C2218yescomplemented
34#19128407C2218yescomplemented
35#19128407C2218yescomplemented
36#19128407C2218yescomplemented
37#19128406C2218yescomplemented
38#19128406C22116yescomplemented
39#19128405C22116yescomplemented
40#19128405C22116yescomplemented
41#19128405C22116yescomplemented
42Q8×D332C2214yescomplemented
43D4×Dic166C2214yescomplemented
44D4×Dic166C2218yescomplemented
45#19128366C2214yescomplemented
46#19128366C2218yescomplemented
47Q8×C22⋊D83C2218yescomplemented
48#19128364C2218yescomplemented
49#19128364C22116yescomplemented
50#19128332C2212yescomplemented
51#19128331C2218yescomplemented
52#19128330C2218yescomplemented
53#19128329C2214yescomplemented
54#19128328C2218yescomplemented
55#19128327C2218yescomplemented
56#19128327C2214yescomplemented
57#19128326C22116yescomplemented
58#19128326C22116yescomplemented
59#19128326C2218yescomplemented
60#19128326C2218yescomplemented
61#19128258C2212yescomplemented
62#19128257C2214yescomplemented
63#19128256C2212yescomplemented
64#19128256C2212yescomplemented
65#19128255C2214yescomplemented
66#19128255C2214yescomplemented
67#19128254C2214yescomplemented
68#19128253C2214yescomplemented
69#19128253C2214yescomplemented
70C4⋊Q8×D83C2218yescomplemented
71C4⋊Q8×D83C2212yescomplemented
72C4⋊Q8×D83C2212yescomplemented
73#125×D83C2218yescomplemented
74#125×D83C2214yescomplemented
75C2×#14581772C2214yescomplemented
76C2×#14581771C2214yescomplemented
77C2×#14581770C2218yescomplemented
78C2×#14581769C2218yescomplemented
79C2×#14581768C2214yescomplemented
80C22⋊Q8×D83C2214yes—
81C22⋊Q8×D83C2218yes—
82C22⋊Q8×D83C2214yes—
83C22⋊Q8×D83C2218yescomplemented
84C22⋊Q8×D83C2218yescomplemented
85C22⋊Q8×D83C2218yescomplemented
86C22⋊Q8×D83C2218yescomplemented
87C22⋊Q8×D83C22116yescomplemented
88C22⋊Q8×D83C22116yescomplemented
89C22⋊Q8×D83C2218yescomplemented
90C22⋊Q8×D83C2218yescomplemented
91#19128176C2212yes—
92#19128175C2214yes—
93#19128174C2218yes—
94#19128173C2218yes—
95#19128173C2218yes—
96C4×Q8×D83C2214yescomplemented
97C4×Q8×D83C2214yescomplemented
98C2×C4×D332C2211yescharacteristic
99C2×D4×Dic83C2211yescharacteristic
100C2×#14581754C2211yescharacteristic
101C2×C4×C22⋊D83C2212yes—
102C2×(C22⋊D83)⋊C4C2212yes—
103C4×D4×D83C2214yes—
104C4×D4×D83C2214yes—
105C4×D4×D83C2214yes—
106C4×D4×D83C2214yes—
107C4×D4×D83C2218yes—
108C4×D4×D83C2218yes—
109#117×D83C2214yes—
110C2×C4⋊C4×D83C2211yescharacteristic
111C2×C4⋊C4×D83C2214yescomplemented
112C2×C4⋊C4×D83C2218yescomplemented
113C2×C22⋊C4×D83C2212yes—
114C2×C22⋊C4×D83C2218yes—
115C2×C42×D83C2211yescharacteristic
116#554×C83C2214yescomplemented
117#554×C83C2218yescomplemented
118D4×Q8×C83C2214yescomplemented
119#544×C83C2212yescomplemented
120#543×C83C2214yescomplemented
121#533×C83C2212yescomplemented
122C2×C22⋊Q8×C83C2214yescomplemented
123#518×C83C2212yes—
124C2×C4×D4×C83C2211yescharacteristic
125C24×D83C2312yes—
126C22×Dic166C2318yescomplemented
127C22×Dic166C2314yescomplemented
128C2×Q8×D83—416no—
129C2×Q8×D83C2314yes—
130C2×Q8×D83C2314yes—
131C2×Q8×D83C2318yes—
132C2×Q8×D83C2318yescomplemented
133C2×Q8×D83C2318yescomplemented
134C22×D332C2311yescharacteristic
135C22×C22⋊D83C2312yes—
136C2×D4×D83Q8116yescomplemented
137C2×D4×D83C2314yes—
138C2×D4×D83C2314yes—
139C23×Dic83C2312yes—
140C22×C4×D83—48no—
141C22×C4×D83C2311yescharacteristic
142C22×C4×D83C2314yes—
143C22×C4×D83C2311yescharacteristic
144C22×C4×D83C2312yes—
145C22×C4×D83C2318yes—
146C22×C4×D83C2318yes—
147C22×C4×D83C2314yes—
148C22×C4×D83C2314yes—
149C22×C4×D83C2314yes—
150C22×C4×D83C2312yes—
151C22×C4×D83C2312yes—
152C22×C4×D83C2311yescharacteristic
153#14581792C2318yescomplemented
154#14581792C2312yescomplemented
155#14581792C2312yescomplemented
156#14581791C2318yescomplemented
157#14581791C23116yescomplemented
158#14581791C2318yescomplemented
159#14581791C2314yescomplemented
160#14581791C2314yescomplemented
161#14581791C2314yescomplemented
162#14581791C2314yescomplemented
163#14581790C23116yescomplemented
164#14581790C2314yescomplemented
165#14581790C2314yescomplemented
166#14581784C2318yescomplemented
167#14581784C2314yescomplemented
168#14581783C2318yescomplemented
169#14581783C2318yescomplemented
170#14581783C2314yescomplemented
171#14581783C2314yescomplemented
172#14581782C23116yescomplemented
173#14581782C23116yescomplemented
174#14581782C2318yescomplemented
175#14581782C2318yescomplemented
176#14581772C2314yes—
177#14581772C2318yes—
178#14581772C2314yes—
179#14581772C23116yescomplemented
180#14581772C23116yescomplemented
181#14581772C2318yescomplemented
182#14581772C2318yescomplemented
183#14581771C2314yes—
184#14581771C2318yes—
185#14581771C2314yes—
186#14581771C23116yescomplemented
187#14581771C23116yescomplemented
188#14581771C2318yescomplemented
189#14581771C2318yescomplemented
190#14581770C2318yes—
191#14581770C23116yes—
192#14581770C2318yes—
193#14581770C23116yescomplemented
194#14581770C23116yescomplemented
195#14581770C23116yescomplemented
196#14581770C23116yescomplemented
197#14581770C23116yescomplemented
198#14581770C23116yescomplemented
199#14581769C2318yes—
200#14581769C23116yes—
201#14581769C2318yes—
202#14581769C23116yescomplemented
203#14581769C23116yescomplemented
204#14581769C23116yescomplemented
205#14581769C23116yescomplemented
206#14581769C23116yescomplemented
207#14581769C23116yescomplemented
208#14581768C2314yes—
209#14581768C2318yes—
210#14581768C2314yes—
211#14581768C23116yescomplemented
212#14581768C23116yescomplemented
213#14581768C2318yescomplemented
214#14581768C2318yescomplemented
215Q8×Dic83C2314yescomplemented
216Q8×Dic83C2314yescomplemented
217C4×Dic166C2318yescomplemented
218C4×Dic166C2314yescomplemented
219C4×Dic166C2314yescomplemented
220C4×Dic166C2318yescomplemented
221#14581757C2318yescomplemented
222#14581757C2314yescomplemented
223#14581757C2314yescomplemented
224#14581757C2318yescomplemented
225C4×D332C2318yes—
226C4×D332C2314yes—
227C4×D332C2314yes—
228C4×D332C2318yes—
229D4×Dic83C2318yes—
230D4×Dic83C2314yes—
231D4×Dic83C2314yes—
232D4×Dic83C2318yes—
233#14581754C2314yes—
234#14581754C2318yes—
235#14581754C2318yes—
236#14581754C2314yes—
237C4×C22⋊D83C23116yes—
238C4×C22⋊D83C2318yes—
239C4×C22⋊D83C2318yes—
240C4×C22⋊D83C23116yes—
241(C22⋊D83)⋊C4C2318yes—
242(C22⋊D83)⋊C4C23116yes—
243(C22⋊D83)⋊C4C23116yes—
244(C22⋊D83)⋊C4C2318yes—
245#14581751C2314yes—
246#14581750C2314yes—
247#14581750C2314yes—
248#14581749C2318yes—
249#14581748C2318yes—
250C2×C4⋊Dic83C2311yescharacteristic
251C2×C4⋊Dic83C2314yescomplemented
252C2×C4⋊Dic83C2318yescomplemented
253C2×Dic83⋊C4C2312yes—
254C2×Dic83⋊C4C2318yescomplemented
255C2×Dic83⋊C4C2318yescomplemented
256C2×Dic83⋊C4C2318yescomplemented
257C4⋊C4×D83C2314yes—
258C4⋊C4×D83C2314yes—
259C4⋊C4×D83C2318yes—
260C4⋊C4×D83C2314yes—
261C4⋊C4×D83C2318yes—
262C4⋊C4×D83C23116yes—
263C4⋊C4×D83C2314yes—
264C4⋊C4×D83C2314yes—
265C4⋊C4×D83C2318yes—
266C4⋊C4×D83C2314yes—
267C4⋊C4×D83C2318yescomplemented
268C4⋊C4×D83C23116yescomplemented
269C4⋊C4×D83C23116yescomplemented
270C4⋊C4×D83C2318yescomplemented
271C2×C22⋊Dic83C2312yes—
272C2×C22⋊Dic83C2318yes—
273C2×(C2×D83)⋊C4C2312yes—
274C2×(C2×D83)⋊C4C2312yes—
275C2×(C2×D83)⋊C4C2318yes—
276C2×(C2×D83)⋊C4C2318yes—
277C22⋊C4×D83C2318yes—
278C22⋊C4×D83C23116yes—
279C22⋊C4×D83C23116yes—
280C22⋊C4×D83C2318yes—
281C22⋊C4×D83C23116yes—
282C22⋊C4×D83C2318yes—
283C2×C4×Dic83C2311yescharacteristic
284C2×C4×Dic83C2311yescharacteristic
285C2×C4×Dic83C2311yescharacteristic
286C42×D83C2312yes—
287C42×D83C2312yes—
288C42×D83C2312yes—
289C42×D83C2312yes—
290C42×D83C2318yes—
291C22×Q8×C83C2314yescomplemented
292C22×D4×C83C2311yescharacteristic
293C23×C4×C83C2312yes—
294C4⋊Q8×C83C2318yescomplemented
295C4⋊Q8×C83C2312yescomplemented
296C4⋊Q8×C83C2312yescomplemented
297#125×C83C2318yescomplemented
298#125×C83C2314yescomplemented
299C22⋊Q8×C83C2314yes—
300C22⋊Q8×C83C2318yes—
301C22⋊Q8×C83C2314yes—
302C22⋊Q8×C83C23116yescomplemented
303C22⋊Q8×C83C23116yescomplemented
304C22⋊Q8×C83C2318yescomplemented
305C22⋊Q8×C83C2318yescomplemented
306C4×Q8×C83C2314yescomplemented
307C4×Q8×C83C2314yescomplemented
308C4×D4×C83C2314yes—
309C4×D4×C83C2318yes—
310C4×D4×C83C2314yes—
311C4×D4×C83C2318yes—
312#117×C83C2314yes—
313C2×C4⋊C4×C83C2311yescharacteristic
314C2×C4⋊C4×C83C2318yescomplemented
315C2×C4⋊C4×C83C2314yescomplemented
316C2×C22⋊C4×C83C2312yes—
317C2×C22⋊C4×C83C2318yes—
318C2×C42×C83C2311yescharacteristic
319C23×D83—44no—
320C23×D83—44no—
321C23×D83C2×Q8116yescomplemented
322C23×D83C2414yes—
323C23×D83C2411yescharacteristic
324C23×D83C2414yes—
325C23×D83C2412yes—
326C2×Dic166—416no—
327C2×Dic166—48no—
328C2×Dic166C2418yes—
329C2×Dic166C2414yes—
330C2×Dic166C2418yes—
331C2×Dic166C24116yes—
332C2×Dic166C2414yes—
333C2×Dic166C2418yes—
334Q8×D83—216no—
335Q8×D83—416no—
336Q8×D83—416no—
337Q8×D83—416no—
338Q8×D83—48no—
339C2×D332C2×Q818yescomplemented
340C2×D332C2414yes—
341C2×C22⋊D83C2×Q8116yescomplemented
342C2×C22⋊D83C2418yes—
343D4×D83C2×Q8132yescomplemented
344D4×D83C2×Q8132yescomplemented
345C22×Dic83—44no—
346C22×Dic83C2411yescharacteristic
347C22×Dic83C2414yes—
348C22×Dic83C2412yes—
349C22×Dic83C2411yescharacteristic
350C22×Dic83C2414yes—
351C22×Dic83C2418yes—
352C22×Dic83C2418yes—
353C22×Dic83C2411yescharacteristic
354C2×C4×D83—24no—
355C2×C4×D83—216no—
356C2×C4×D83—48no—
357C2×C4×D83—44no—
358C2×C4×D83—48no—
359C2×C4×D83—44no—
360C2×C4×D83—48no—
361C2×C4×D83—44no—
362C2×C4×D83—416no—
363C2×C4×D83—42no—
364C2×C4×D83—416no—
365C2×C4×D83C2×Q818yescomplemented
366C2×C4×D83C2411yescharacteristic
367C2×C4×D83C2414yes—
368C2×C4×D83C2411yescharacteristic
369C2×C4×D83C2414yes—
370C2×C4×D83C2411yescharacteristic
371C2×C4×D83C2414yes—
372C2×C4×D83C2418yes—
373C2×C4×D83C2418yes—
374C2×C4×D83C2412yes—
375C2×C4×D83C2414yes—
376C2×C4×D83C2412yes—
377C2×C4×D83C2414yes—
378C2×C4×D83C24116yes—
379C2×C4×D83C24116yes—
380C2×C4×D83C2414yes—
381C2×C4×D83C2412yes—
382C2×C4×D83C2412yes—
383C2×C4×D83C2411yescharacteristic
384C4⋊Dic83C2414yes—
385C4⋊Dic83C2418yes—
386C4⋊Dic83C2414yes—
387C4⋊Dic83C2418yes—
388C4⋊Dic83C24116yes—
389C4⋊Dic83C2418yes—
390C4⋊Dic83C2414yes—
391C4⋊Dic83C2414yes—
392C4⋊Dic83C2414yes—
393Dic83⋊C4C2418yes—
394Dic83⋊C4C24116yes—
395Dic83⋊C4C2418yes—
396Dic83⋊C4C2418yes—
397Dic83⋊C4C2418yes—
398Dic83⋊C4C24116yes—
399Dic83⋊C4C24116yes—
400Dic83⋊C4C2418yes—
401Dic83⋊C4C2418yes—
402Dic83⋊C4C2418yes—
403Dic83⋊C4C2418yes—
404Dic83⋊C4C2418yes—
405C22⋊Dic83C2418yes—
406C22⋊Dic83C2418yes—
407C22⋊Dic83C24116yes—
408(C2×D83)⋊C4C2418yes—
409(C2×D83)⋊C4C2418yes—
410(C2×D83)⋊C4C24116yes—
411(C2×D83)⋊C4C2418yes—
412(C2×D83)⋊C4C2418yes—
413(C2×D83)⋊C4C24116yes—
414C4×Dic83C2412yes—
415C4×Dic83C2412yes—
416C4×Dic83C2418yes—
417C4×Dic83C2418yes—
418C4×Dic83C2412yes—
419C4×Dic83C2418yes—
420C4×Dic83C2412yes—
421C4×Dic83C2412yes—
422C4×Dic83C2412yes—
423C24×C83C2412yes—
424C2×Q8×C83—48no—
425C2×Q8×C83C2414yes—
426C2×Q8×C83C2414yes—
427C2×Q8×C83C2418yes—
428C2×D4×C83C2×Q818yescomplemented
429C2×D4×C83C2414yes—
430C22×C4×C83—44no—
431C22×C4×C83C2411yescharacteristic
432C22×C4×C83C2414yes—
433C22×C4×C83C2412yes—
434C22×C4×C83C2411yescharacteristic
435C22×C4×C83C2414yes—
436C22×C4×C83C2418yes—
437C22×C4×C83C2418yes—
438C22×C4×C83C2411yescharacteristic
439C4⋊C4×C83C2418yes—
440C4⋊C4×C83C24116yes—
441C4⋊C4×C83C2418yes—
442C4⋊C4×C83C2414yes—
443C4⋊C4×C83C2418yes—
444C4⋊C4×C83C2414yes—
445C4⋊C4×C83C2414yes—
446C4⋊C4×C83C2414yes—
447C4⋊C4×C83C2414yes—
448C22⋊C4×C83C2418yes—
449C22⋊C4×C83C2418yes—
450C22⋊C4×C83C24116yes—
451C42×C83C2412yes—
452C42×C83C2418yes—
453C42×C83C2412yes—
454C23×C83—42no—
455C23×C83—42no—
456C23×C83C22×Q818yescomplemented
457C23×C83C2511yescharacteristic
458C23×C83C2514yes—
459C22×D83—28no—
460C22×D83—22no—
461C22×D83—28no—
462C22×D83—22no—
463C22×D83—432no—
464C22×D83—42no—
465C22×D83—44no—
466C22×D83—42no—
467C22×D83—44no—
468C22×D83C22×Q814yes—
469C22×D83C22×Q8116yes—
470C22×D83C22×Q8116yescomplemented
471C22×D83C22×Q818yescomplemented
472C22×D83C2511yescharacteristic
473C22×D83C2514yes—
474C22×D83C2511yescharacteristic
475Q8×C83—28no—
476Q8×C83—48no—
477Q8×C83—44no—
478D4×C83C22×Q8116yescomplemented
479C2×C4×C83—22no—
480C2×C4×C83—28no—
481C2×C4×C83—42no—
482C2×C4×C83—44no—
483C2×C4×C83—48no—
484C2×C4×C83—41no—
485C2×C4×C83—48no—
486C2×C4×C83C22×Q814yescomplemented
487C2×C4×C83C2512yes—
488C2×C4×C83C2511yescharacteristic
489C2×C4×C83C2518yes—
490C2×C4×C83C2518yes—
491C2×C4×C83C2514yes—
492C2×C4×C83C2512yes—
493C2×C4×C83C2511yescharacteristic
494C22⋊D83C22×Q8132yescomplemented
495C2×Dic83—22no—
496C2×Dic83—28no—
497C2×Dic83—42no—
498C2×Dic83—44no—
499C2×Dic83—41no—
500C2×Dic83—48no—
501C2×Dic83—48no—
502C2×Dic83C22×Q814yescomplemented
503C2×Dic83C2512yes—
504C2×Dic83C2511yescharacteristic
505C2×Dic83C2518yes—
506C2×Dic83C2518yes—
507C2×Dic83C2514yes—
508C2×Dic83C2512yes—
509C2×Dic83C2511yescharacteristic
510D332C22×Q8116yescomplemented
511C4×D83—22no—
512C4×D83—28no—
513C4×D83—216no—
514C4×D83—216no—
515C4×D83—24no—
516C4×D83—22no—
517C4×D83—28no—
518C4×D83—22no—
519C4×D83—28no—
520C4×D83—44no—
521C4×D83—44no—
522C4×D83—44no—
523C4×D83—42no—
524C4×D83—416no—
525C4×D83—416no—
526C4×D83C22×Q818yes—
527C4×D83C22×Q818yescomplemented
528C4×D83H(5,𝔽2)14yes—
529Dic166—28no—
530Dic166—216no—
531Dic166—48no—
532Dic166—416no—
533Dic166—48no—
534Dic166—44no—
535C22×C83—24no—
536C22×C83—21no—
537C22×C83—24no—
538C22×C83—21no—
539C22×C83—48no—
540C22×C83C23×Q812yes—
541C22×C83C23×Q818yes—
542C22×C83C2611yescharacteristic
543C2×D83—24no—
544C2×D83—21no—
545C2×D83—24no—
546C2×D83—21no—
547C2×D83—28no—
548C2×D83—232no—
549C2×D83—416no—
550C2×D83—48no—
551C2×D83C23×Q812yes—
552C2×D83C23×Q818yes—
553C2×D83C23×Q812yes—
554C2×D83C2×H(5,𝔽2)12yes—
555C2×D83#58512yes—
556C4×C83—28no—
557C4×C83—24no—
558C4×C83—21no—
559C4×C83—22no—
560C4×C83—28no—
561C4×C83C23×Q814yes—
562C4×C83C2×H(5,𝔽2)12yes—
563Dic83—28no—
564Dic83—24no—
565Dic83—21no—
566Dic83—22no—
567Dic83—28no—
568Dic83C23×Q814yes—
569Dic83C2×H(5,𝔽2)12yes—
570C2×#3501—831nomaximal, Sylow
571C2×C83—22no—
572C2×C83—28no—
573C2×C83C24×Q811yescharacteristic
574C2×C83C22×H(5,𝔽2)11yescharacteristic
575C2×C83C2×#58511yescharacteristic
576D83—22no—
577D83—28no—
578D83#350114yesdirect product factor
579#3501—834no—
580#3501—838no—
581#3501—834no—
582#3501—832no—
583#3501—834no—
584#3501—832no—
585#3501—834no—
586#3501—832no—
587#3501—831no—
588#3501D8311yescharacteristic, direct product factor
589C2×#554—834no—
590C2×#554—838no—
591C2×D4×Q8—834no—
592C2×#544—832no—
593C2×#543—834no—
594C2×#533—832no—
595C22×C22⋊Q8—834no—
596C2×#518—832no—
597C22×C4×D4—831no—
598C83C2×#350111yescharacteristic, complemented, Sylow
599C23×Q8—834no—
600C23×D4—831no—
601C24×C4—832no—
602#554—838no—
603#554—834no—
604#554—838no—
605#554—838no—
606#554—838no—
607#554—8316no—
608#554—8316no—
609#554—8316no—
610#554—838no—
611#554—8316no—
612#554—834no—
613#554—838no—
614#554—838no—
615#554—834no—
616#554—838no—
617#554—838no—
618#554—838no—
619#554—838no—
620#554—8316no—
621#554C2×D8314yescomplemented
622#554C2×D8318yescomplemented
623D4×Q8—838no—
624D4×Q8—838no—
625D4×Q8—834no—
626D4×Q8—838no—
627D4×Q8—8316no—
628D4×Q8—834no—
629D4×Q8—838no—
630D4×Q8—834no—
631D4×Q8C2×D8314yescomplemented
632#544—838no—
633#544—838no—
634#544—838no—
635#544—834no—
636#544—832no—
637#544C2×D8312yescomplemented
638#543—838no—
639#543—838no—
640#543—8316no—
641#543—8316no—
642#543—838no—
643#543—834no—
644#543C2×D8314yescomplemented
645#533—832no—
646#533—832no—
647#533—834no—
648#533—834no—
649#533—834no—
650#533—834no—
651#533—834no—
652#533—834no—
653#533—832no—
654#533C2×D8312yescomplemented
655C2×C4⋊Q8—832no—
656C2×C4⋊Q8—832no—
657C2×C4⋊Q8—838no—
658C2×#125—834no—
659C2×#125—838no—
660C2×C22⋊Q8—834no—
661C2×C22⋊Q8—834no—
662C2×C22⋊Q8—834no—
663C2×C22⋊Q8—838no—
664C2×C22⋊Q8—838no—
665C2×C22⋊Q8—838no—
666C2×C22⋊Q8—834no—
667C2×C22⋊Q8—838no—
668C2×C22⋊Q8—838no—
669C2×C22⋊Q8—838no—
670C2×C22⋊Q8—838no—
671C2×C22⋊Q8—8316no—
672C2×C22⋊Q8—8316no—
673C2×C22⋊Q8—838no—
674C2×C22⋊Q8—834no—
675C2×C22⋊Q8—838no—
676C2×C22⋊Q8C2×D8314yescomplemented
677#518—832no—
678#518—838no—
679#518—838no—
680#518—834no—
681#518—838no—
682#518C2×D8312yes—
683C2×C4×Q8—834no—
684C2×C4×Q8—834no—
685C2×C4×D4—831no—
686C2×C4×D4—832no—
687C2×C4×D4—834no—
688C2×C4×D4—834no—
689C2×C4×D4—834no—
690C2×C4×D4—834no—
691C2×C4×D4—838no—
692C2×C4×D4—838no—
693C2×C4×D4—831no—
694C2×C4×D4—832no—
695C2×C4×D4—831no—
696C2×C4×D4C2×D8311yescharacteristic
697C2×#117—834no—
698C22×C4⋊C4—831no—
699C22×C4⋊C4—838no—
700C22×C4⋊C4—834no—
701C22×C22⋊C4—832no—
702C22×C22⋊C4—838no—
703C22×C42—831no—
704C25—832no—
705C22×Q8—33216no—
706C22×Q8—834no—
707C22×Q8—838no—
708C22×Q8—838no—
709C22×Q8—838no—
710C22×Q8—834no—
711C22×Q8—834no—
712C22×Q8—838no—
713C22×Q8C22×D8314yescomplemented
714C22×D4—832no—
715C22×D4—8316no—
716C22×D4—834no—
717C22×D4—834no—
718C22×D4—831no—
719C22×D4C22×D8311yescharacteristic
720C23×C4—3328no—
721C23×C4—832no—
722C23×C4—831no—
723C23×C4—838no—
724C23×C4—838no—
725C23×C4—832no—
726C23×C4—834no—
727C23×C4—832no—
728C23×C4—834no—
729C23×C4—834no—
730C23×C4—832no—
731C23×C4—831no—
732C23×C4—834no—
733C23×C4—831no—
734C23×C4C22×D8312yes—
735C4⋊Q8—834no—
736C4⋊Q8—834no—
737C4⋊Q8—8316no—
738C4⋊Q8—834no—
739C4⋊Q8—834no—
740C4⋊Q8—834no—
741C4⋊Q8—834no—
742C4⋊Q8—8316no—
743C4⋊Q8—838no—
744C4⋊Q8—838no—
745C4⋊Q8—832no—
746C4⋊Q8—832no—
747C4⋊Q8—838no—
748C4⋊Q8C22×D8312yescomplemented
749C4⋊Q8C22×D8312yescomplemented
750C4⋊Q8C22×D8318yescomplemented
751#125—838no—
752#125—838no—
753#125—834no—
754#125—834no—
755#125—8316no—
756#125—8316no—
757#125—838no—
758#125—838no—
759#125—834no—
760#125—838no—
761#125C22×D8314yescomplemented
762#125C22×D8318yescomplemented
763C22⋊Q8—834no—
764C22⋊Q8—838no—
765C22⋊Q8—834no—
766C22⋊Q8—838no—
767C22⋊Q8—838no—
768C22⋊Q8—8316no—
769C22⋊Q8—8316no—
770C22⋊Q8—834no—
771C22⋊Q8—838no—
772C22⋊Q8—838no—
773C22⋊Q8—838no—
774C22⋊Q8—834no—
775C22⋊Q8—8316no—
776C22⋊Q8—8316no—
777C22⋊Q8—838no—
778C22⋊Q8—8316no—
779C22⋊Q8—838no—
780C22⋊Q8—8316no—
781C22⋊Q8—8316no—
782C22⋊Q8—8316no—
783C22⋊Q8—8316no—
784C22⋊Q8—8316no—
785C22⋊Q8—8316no—
786C22⋊Q8—834no—
787C22⋊Q8—838no—
788C22⋊Q8—838no—
789C22⋊Q8—838no—
790C22⋊Q8—834no—
791C22⋊Q8—8316no—
792C22⋊Q8—8316no—
793C22⋊Q8—838no—
794C22⋊Q8—8316no—
795C22⋊Q8—838no—
796C22⋊Q8—8316no—
797C22⋊Q8—8316no—
798C22⋊Q8—8316no—
799C22⋊Q8—8316no—
800C22⋊Q8—8316no—
801C22⋊Q8—8316no—
802C22⋊Q8C22×D8314yes—
803C22⋊Q8C22×D8318yes—
804C22⋊Q8C22×D8314yes—
805C22⋊Q8C22×D8318yescomplemented
806C22⋊Q8C22×D8318yescomplemented
807C22⋊Q8C22×D83116yescomplemented
808C22⋊Q8C22×D83116yescomplemented
809C4×Q8—834no—
810C4×Q8—834no—
811C4×Q8—838no—
812C4×Q8—834no—
813C4×Q8—834no—
814C4×Q8—838no—
815C4×Q8—838no—
816C4×Q8—834no—
817C4×Q8—838no—
818C4×Q8—834no—
819C4×Q8C22×D8314yescomplemented
820C4×Q8C22×D8314yescomplemented
821C4×D4—834no—
822C4×D4—834no—
823C4×D4—838no—
824C4×D4—838no—
825C4×D4—838no—
826C4×D4—838no—
827C4×D4—8316no—
828C4×D4—8316no—
829C4×D4—834no—
830C4×D4—834no—
831C4×D4—838no—
832C4×D4—838no—
833C4×D4—838no—
834C4×D4—838no—
835C4×D4—8316no—
836C4×D4—8316no—
837C4×D4—834no—
838C4×D4—834no—
839C4×D4—838no—
840C4×D4—838no—
841C4×D4C22×D8314yes—
842C4×D4C22×D8314yes—
843C4×D4C22×D8318yes—
844C4×D4C22×D8318yes—
845#117—834no—
846#117—834no—
847#117—834no—
848#117—838no—
849#117—838no—
850#117C22×D8314yes—
851C2×C4⋊C4—832no—
852C2×C4⋊C4—831no—
853C2×C4⋊C4—838no—
854C2×C4⋊C4—838no—
855C2×C4⋊C4—838no—
856C2×C4⋊C4—838no—
857C2×C4⋊C4—834no—
858C2×C4⋊C4—838no—
859C2×C4⋊C4—834no—
860C2×C4⋊C4—834no—
861C2×C4⋊C4—834no—
862C2×C4⋊C4—838no—
863C2×C4⋊C4—8316no—
864C2×C4⋊C4—8316no—
865C2×C4⋊C4—8316no—
866C2×C4⋊C4—838no—
867C2×C4⋊C4—838no—
868C2×C4⋊C4—834no—
869C2×C4⋊C4—834no—
870C2×C4⋊C4—838no—
871C2×C4⋊C4—834no—
872C2×C4⋊C4C22×D8311yescharacteristic
873C2×C4⋊C4C22×D8318yescomplemented
874C2×C4⋊C4C22×D8314yescomplemented
875C2×C22⋊C4—832no—
876C2×C22⋊C4—838no—
877C2×C22⋊C4—832no—
878C2×C22⋊C4—832no—
879C2×C22⋊C4—838no—
880C2×C22⋊C4—838no—
881C2×C22⋊C4—838no—
882C2×C22⋊C4—838no—
883C2×C22⋊C4—8316no—
884C2×C22⋊C4—838no—
885C2×C22⋊C4—8316no—
886C2×C22⋊C4—8316no—
887C2×C22⋊C4C22×D8312yes—
888C2×C22⋊C4C22×D8318yes—
889C2×C42—831no—
890C2×C42—831no—
891C2×C42—831no—
892C2×C42—838no—
893C2×C42—832no—
894C2×C42—832no—
895C2×C42—832no—
896C2×C42—832no—
897C2×C42C22×D8311yescharacteristic
898C24—3324no—
899C24—3324no—
900C24—8316no—
901C24—834no—
902C24—832no—
903C24—831no—
904C24—834no—
905C24C23×D8312yes—
906C2×Q8—48no—
907C2×Q8—3328no—
908C2×Q8—33216no—
909C2×Q8—33216no—
910C2×Q8—33216no—
911C2×Q8—33216no—
912C2×Q8—3328no—
913C2×Q8—838no—
914C2×Q8—834no—
915C2×Q8—838no—
916C2×Q8—8316no—
917C2×Q8—838no—
918C2×Q8—834no—
919C2×Q8—16616no—
920C2×Q8C23×D8314yes—
921C2×Q8C23×D8314yes—
922C2×Q8C23×D8318yes—
923C2×D4—8316no—
924C2×D4—838no—
925C2×D4—8332no—
926C2×D4—8332no—
927C2×D4—838no—
928C2×D4—834no—
929C2×D4Q8×D8318yescomplemented
930C2×D4C23×D8314yes—
931C22×C4—44no—
932C22×C4—3324no—
933C22×C4—3328no—
934C22×C4—3328no—
935C22×C4—3324no—
936C22×C4—33216no—
937C22×C4—33216no—
938C22×C4—3322no—
939C22×C4—3328no—
940C22×C4—3324no—
941C22×C4—3324no—
942C22×C4—831no—
943C22×C4—838no—
944C22×C4—838no—
945C22×C4—832no—
946C22×C4—834no—
947C22×C4—832no—
948C22×C4—8316no—
949C22×C4—8316no—
950C22×C4—834no—
951C22×C4—834no—
952C22×C4—834no—
953C22×C4—831no—
954C22×C4—838no—
955C22×C4—832no—
956C22×C4—831no—
957C22×C4—832no—
958C22×C4—831no—
959C22×C4—834no—
960C22×C4—832no—
961C22×C4—831no—
962C22×C4—831no—
963C22×C4—831no—
964C22×C4—838no—
965C22×C4—838no—
966C22×C4—834no—
967C22×C4—834no—
968C22×C4—834no—
969C22×C4—1664no—
970C22×C4—16616no—
971C22×C4C23×D8311yescharacteristic
972C22×C4C23×D8314yes—
973C22×C4C23×D8311yescharacteristic
974C22×C4C23×D8318yes—
975C22×C4C23×D8312yes—
976C22×C4C23×D8318yes—
977C22×C4C23×D8314yes—
978C22×C4C23×D8311yescharacteristic
979C4⋊C4—838no—
980C4⋊C4—838no—
981C4⋊C4—838no—
982C4⋊C4—838no—
983C4⋊C4—834no—
984C4⋊C4—838no—
985C4⋊C4—834no—
986C4⋊C4—8316no—
987C4⋊C4—838no—
988C4⋊C4—8316no—
989C4⋊C4—8316no—
990C4⋊C4—8316no—
991C4⋊C4—838no—
992C4⋊C4—834no—
993C4⋊C4—838no—
994C4⋊C4—834no—
995C4⋊C4—838no—
996C4⋊C4—838no—
997C4⋊C4—838no—
998C4⋊C4—838no—
999C4⋊C4—834no—
1000C4⋊C4C23×D8318yes—
1001C4⋊C4C23×D8314yes—
1002C4⋊C4C23×D8314yes—
1003C4⋊C4C23×D8318yes—
1004C4⋊C4C23×D83116yes—
1005C4⋊C4C23×D8314yes—
1006C4⋊C4C23×D8314yes—
1007C4⋊C4C23×D8318yes—
1008C4⋊C4C23×D8314yes—
1009C22⋊C4—838no—
1010C22⋊C4—838no—
1011C22⋊C4—8316no—
1012C22⋊C4—838no—
1013C22⋊C4—838no—
1014C22⋊C4—838no—
1015C22⋊C4—8316no—
1016C22⋊C4—8316no—
1017C22⋊C4—838no—
1018C22⋊C4C23×D8318yes—
1019C22⋊C4C23×D8318yes—
1020C22⋊C4C23×D83116yes—
1021C42—832no—
1022C42—832no—
1023C42—832no—
1024C42—832no—
1025C42—832no—
1026C42—832no—
1027C42—838no—
1028C42—838no—
1029C42—838no—
1030C42C23×D8312yes—
1031C42C23×D8312yes—
1032C42C23×D8318yes—
1033C23—42no—
1034C23—42no—
1035C23—3324no—
1036C23—3322no—
1037C23—3324no—
1038C23—3322no—
1039C23—33232no—
1040C23—8316no—
1041C23—838no—
1042C23—831no—
1043C23—834no—
1044C23—8316no—
1045C23—831no—
1046C23—834no—
1047C23—1668no—
1048C23—1662no—
1049C23—1668no—
1050C23—1662no—
1051C23C2×Q8×D8318yescomplemented
1052C23C24×D8311yescharacteristic
1053C23C24×D8314yes—
1054Q8—28no—
1055Q8—48no—
1056Q8—44no—
1057Q8—3328no—
1058Q8—33216no—
1059Q8—3328no—
1060Q8—3324no—
1061Q8—16616no—
1062Q8—1668no—
1063D4—8332no—
1064D4—8316no—
1065D4C2×Q8×D83116yescomplemented
1066C2×C4—22no—
1067C2×C4—28no—
1068C2×C4—44no—
1069C2×C4—42no—
1070C2×C4—48no—
1071C2×C4—48no—
1072C2×C4—41no—
1073C2×C4—3324no—
1074C2×C4—3324no—
1075C2×C4—3324no—
1076C2×C4—33216no—
1077C2×C4—33216no—
1078C2×C4—3322no—
1079C2×C4—3324no—
1080C2×C4—3322no—
1081C2×C4—3328no—
1082C2×C4—3328no—
1083C2×C4—3321no—
1084C2×C4—834no—
1085C2×C4—832no—
1086C2×C4—831no—
1087C2×C4—838no—
1088C2×C4—838no—
1089C2×C4—834no—
1090C2×C4—832no—
1091C2×C4—831no—
1092C2×C4—838no—
1093C2×C4—838no—
1094C2×C4—834no—
1095C2×C4—1662no—
1096C2×C4—1668no—
1097C2×C4—1662no—
1098C2×C4—1668no—
1099C2×C4—16616no—
1100C2×C4—16616no—
1101C2×C4—1664no—
1102C2×C4—1662no—
1103C2×C4—1668no—
1104C2×C4—1662no—
1105C2×C4—1668no—
1106C2×C4C2×Q8×D8314yescomplemented
1107C2×C4C24×D8312yes—
1108C2×C4C24×D8311yescharacteristic
1109C2×C4C24×D8318yes—
1110C2×C4C24×D8318yes—
1111C2×C4C24×D8314yes—
1112C2×C4C24×D8312yes—
1113C2×C4C24×D8311yescharacteristic
1114C22—24no—
1115C22—21no—
1116C22—24no—
1117C22—21no—
1118C22—48no—
1119C22—3328no—
1120C22—33216no—
1121C22—832no—
1122C22—832no—
1123C22—832no—
1124C22—832no—
1125C22—838no—
1126C22—1668no—
1127C22—16632no—
1128C22—1664no—
1129C22—1661no—
1130C22—1664no—
1131C22—1661no—
1132C22C22×Q8×D8312yes—
1133C22C22×Q8×D8318yes—
1134C22C25×D8311yescharacteristic
1135C4—21no—
1136C4—24no—
1137C4—28no—
1138C4—28no—
1139C4—22no—
1140C4—834no—
1141C4—832no—
1142C4—1661no—
1143C4—1664no—
1144C4—1668no—
1145C4—1668no—
1146C4—1662no—
1147C4C22×Q8×D8314yes—
1148C4H(5,𝔽2)×D8312yes—
1149C2—22no—
1150C2—28no—
1151C2—834no—
1152C2—1662no—
1153C2—1668no—
1154C2C23×Q8×D8311yescharacteristic
1155C2C2×H(5,𝔽2)×D8311yescharacteristic
1156C2#585×D8311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D83
commutator, socle, cosocleC22×C83C26
FittingC83×#3501C2
prime radicalC22×D4×D83C22
hypercenter#3501D83
hypocenterC83C2×#3501
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C22 ◁ #3501

Complements

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

NH ≅ G/Ntype
1. #24921266C2semidirect
2. #24921265C2semidirect
3. #24921264C2semidirect
4. #24921263C2semidirect
5. #24921262C2semidirect
6. #24921261C2semidirect
7. #24921260C2semidirect
8. #24921259C2semidirect
9. #24921258C2semidirect
10. #554×D83C2semidirect
11. #554×D83C2semidirect
12. D4×Q8×D83C2semidirect
13. #544×D83C2semidirect
14. #543×D83C2semidirect
15. #533×D83C2semidirect
16. C2×C22⋊Q8×D83C2semidirect
19. C83×#3501C2semidirect
20. C22×Q8×D83C22semidirect
23. #19128412C22semidirect
24. #19128412C22semidirect
25. #19128411C22semidirect
26. #19128411C22semidirect
27. #19128410C22semidirect
28. #19128410C22semidirect
29. #19128410C22semidirect
30. #19128409C22semidirect
31. #19128409C22semidirect
32. #19128408C22semidirect
33. #19128408C22semidirect
34. #19128407C22semidirect
35. #19128407C22semidirect
36. #19128407C22semidirect
37. #19128406C22semidirect
38. #19128406C22semidirect
39. #19128405C22semidirect
40. #19128405C22semidirect
41. #19128405C22semidirect
42. Q8×D332C22semidirect
43. D4×Dic166C22semidirect
44. D4×Dic166C22semidirect
45. #19128366C22semidirect
46. #19128366C22semidirect
47. Q8×C22⋊D83C22semidirect
48. #19128364C22semidirect
49. #19128364C22semidirect
50. #19128332C22semidirect
51. #19128331C22semidirect
52. #19128330C22semidirect
53. #19128329C22semidirect
54. #19128328C22semidirect
55. #19128327C22semidirect
56. #19128327C22semidirect
57. #19128326C22semidirect
58. #19128326C22semidirect
59. #19128326C22semidirect
60. #19128326C22semidirect
61. #19128258C22semidirect
62. #19128257C22semidirect
63. #19128256C22semidirect
64. #19128256C22semidirect
65. #19128255C22semidirect
66. #19128255C22semidirect
67. #19128254C22semidirect
68. #19128253C22semidirect
69. #19128253C22semidirect
70. C4⋊Q8×D83C22semidirect
71. C4⋊Q8×D83C22semidirect
72. C4⋊Q8×D83C22semidirect
73. #125×D83C22semidirect
74. #125×D83C22semidirect
75. C2×#14581772C22semidirect
76. C2×#14581771C22semidirect
77. C2×#14581770C22semidirect
78. C2×#14581769C22semidirect
79. C2×#14581768C22semidirect
83. C22⋊Q8×D83C22semidirect
84. C22⋊Q8×D83C22semidirect
85. C22⋊Q8×D83C22semidirect
86. C22⋊Q8×D83C22semidirect
87. C22⋊Q8×D83C22semidirect
88. C22⋊Q8×D83C22semidirect
89. C22⋊Q8×D83C22semidirect
90. C22⋊Q8×D83C22semidirect
96. C4×Q8×D83C22semidirect
97. C4×Q8×D83C22semidirect
111. C2×C4⋊C4×D83C22semidirect
112. C2×C4⋊C4×D83C22semidirect
116. #554×C83C22semidirect
117. #554×C83C22semidirect
118. D4×Q8×C83C22semidirect
119. #544×C83C22semidirect
120. #543×C83C22semidirect
121. #533×C83C22semidirect
122. C2×C22⋊Q8×C83C22semidirect
126. C22×Dic166C23semidirect
127. C22×Dic166C23semidirect
132. C2×Q8×D83C23semidirect
133. C2×Q8×D83C23semidirect
136. C2×D4×D83Q8semidirect
153. #14581792C23semidirect
154. #14581792C23semidirect
155. #14581792C23semidirect
156. #14581791C23semidirect
157. #14581791C23semidirect
158. #14581791C23semidirect
159. #14581791C23semidirect
160. #14581791C23semidirect
161. #14581791C23semidirect
162. #14581791C23semidirect
163. #14581790C23semidirect
164. #14581790C23semidirect
165. #14581790C23semidirect
166. #14581784C23semidirect
167. #14581784C23semidirect
168. #14581783C23semidirect
169. #14581783C23semidirect
170. #14581783C23semidirect
171. #14581783C23semidirect
172. #14581782C23semidirect
173. #14581782C23semidirect
174. #14581782C23semidirect
175. #14581782C23semidirect
179. #14581772C23semidirect
180. #14581772C23semidirect
181. #14581772C23semidirect
182. #14581772C23semidirect
186. #14581771C23semidirect
187. #14581771C23semidirect
188. #14581771C23semidirect
189. #14581771C23semidirect
193. #14581770C23semidirect
194. #14581770C23semidirect
195. #14581770C23semidirect
196. #14581770C23semidirect
197. #14581770C23semidirect
198. #14581770C23semidirect
202. #14581769C23semidirect
203. #14581769C23semidirect
204. #14581769C23semidirect
205. #14581769C23semidirect
206. #14581769C23semidirect
207. #14581769C23semidirect
211. #14581768C23semidirect
212. #14581768C23semidirect
213. #14581768C23semidirect
214. #14581768C23semidirect
215. Q8×Dic83C23semidirect
216. Q8×Dic83C23semidirect
217. C4×Dic166C23semidirect
218. C4×Dic166C23semidirect
219. C4×Dic166C23semidirect
220. C4×Dic166C23semidirect
221. #14581757C23semidirect
222. #14581757C23semidirect
223. #14581757C23semidirect
224. #14581757C23semidirect
251. C2×C4⋊Dic83C23semidirect
252. C2×C4⋊Dic83C23semidirect
254. C2×Dic83⋊C4C23semidirect
255. C2×Dic83⋊C4C23semidirect
256. C2×Dic83⋊C4C23semidirect
267. C4⋊C4×D83C23semidirect
268. C4⋊C4×D83C23semidirect
269. C4⋊C4×D83C23semidirect
270. C4⋊C4×D83C23semidirect
291. C22×Q8×C83C23semidirect
294. C4⋊Q8×C83C23semidirect
295. C4⋊Q8×C83C23semidirect
296. C4⋊Q8×C83C23semidirect
297. #125×C83C23semidirect
298. #125×C83C23semidirect
302. C22⋊Q8×C83C23semidirect
303. C22⋊Q8×C83C23semidirect
304. C22⋊Q8×C83C23semidirect
305. C22⋊Q8×C83C23semidirect
306. C4×Q8×C83C23semidirect
307. C4×Q8×C83C23semidirect
314. C2×C4⋊C4×C83C23semidirect
315. C2×C4⋊C4×C83C23semidirect
321. C23×D83C2×Q8semidirect
339. C2×D332C2×Q8semidirect
341. C2×C22⋊D83C2×Q8semidirect
343. D4×D83C2×Q8semidirect
344. D4×D83C2×Q8semidirect
365. C2×C4×D83C2×Q8semidirect
428. C2×D4×C83C2×Q8semidirect
456. C23×C83C22×Q8semidirect
470. C22×D83C22×Q8semidirect
471. C22×D83C22×Q8semidirect
478. D4×C83C22×Q8semidirect
486. C2×C4×C83C22×Q8semidirect
494. C22⋊D83C22×Q8semidirect
502. C2×Dic83C22×Q8semidirect
510. D332C22×Q8semidirect
527. C4×D83C22×Q8semidirect
578. D83#3501direct (N × H)
588. #3501D83direct (N × H)
598. C83C2×#3501semidirect
621. #554C2×D83semidirect
622. #554C2×D83semidirect
631. D4×Q8C2×D83semidirect
637. #544C2×D83semidirect
644. #543C2×D83semidirect
654. #533C2×D83semidirect
676. C2×C22⋊Q8C2×D83semidirect
713. C22×Q8C22×D83semidirect
748. C4⋊Q8C22×D83semidirect
749. C4⋊Q8C22×D83semidirect
750. C4⋊Q8C22×D83semidirect
761. #125C22×D83semidirect
762. #125C22×D83semidirect
805. C22⋊Q8C22×D83semidirect
806. C22⋊Q8C22×D83semidirect
807. C22⋊Q8C22×D83semidirect
808. C22⋊Q8C22×D83semidirect
819. C4×Q8C22×D83semidirect
820. C4×Q8C22×D83semidirect
873. C2×C4⋊C4C22×D83semidirect
874. C2×C4⋊C4C22×D83semidirect
929. C2×D4Q8×D83semidirect
1051. C23C2×Q8×D83semidirect
1065. D4C2×Q8×D83semidirect
1106. C2×C4C2×Q8×D83semidirect

Maximal subgroups

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

subgroupindex
#249212662
#249212652
#249212642
#249212632
#249212622
#249212612
#249212602
#249212592
#249212582
#554×D832
D4×Q8×D832
#544×D832
#543×D832
#533×D832
C2×C22⋊Q8×D832
#518×D832
C2×C4×D4×D832
C83×#35012
C2×#350183