Finite Group Databasebeta

← #26005210

Subgroups — #26005210

Order 11008.

7220 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148707C212yesmaximal, complemented
2#19148692C211yesmaximal, characteristic, complemented
3#19148681C211yesmaximal, characteristic, complemented
4#19148666C216yesmaximal, complemented
5#19148645C213yesmaximal, complemented
6#19148628C213yesmaximal, complemented
7#19148613C211yesmaximal, characteristic, complemented
8#19148602C211yesmaximal, characteristic, complemented
9#19148591C212yesmaximal, complemented
10#19148574C213yesmaximal, complemented
11#19148557C213yesmaximal, complemented
12#19148538C216yesmaximal, complemented
13#19148190C213yesmaximal, complemented
14#19148162C213yesmaximal, complemented
15#19148162C216yesmaximal, complemented
16#41×D172C211yesmaximal, characteristic, complemented
17#41×D172C212yesmaximal, complemented
18#19147987C216yesmaximal, complemented
19#19147892C213yesmaximal, complemented
20C2×#14583436C213yesmaximal, complemented
21#19147794C212yesmaximal, complemented
22C4×#41×D43C211yesmaximal, characteristic, complemented
23Q8×#41×C43C211yesmaximal, characteristic, complemented
24C2×#41×D43C2212yes—
25C2×#41×D43C2211yescharacteristic
26#14583634C2213yescomplemented
27#14583634C2216yescomplemented
28#14583628C2213yescomplemented
29#14583623C2213yescomplemented
30#14583623C2216yescomplemented
31#14583622C2216yescomplemented
32#14583622C2213yescomplemented
33#14583615C2216yescomplemented
34#14583615C2213yescomplemented
35#14583610C2213yescomplemented
36#14583610C2216yescomplemented
37#14583602C2216yescomplemented
38#14583602C2216yescomplemented
39#14583602C2216yescomplemented
40#14583597C2216yescomplemented
41#14583597C22112yescomplemented
42#14583591C2216yescomplemented
43#14583591C22112yescomplemented
44#14583587C2216yescomplemented
45#14583587C2216yescomplemented
46#14583587C2216yescomplemented
47#14583576C22112yescomplemented
48#14583576C22112yescomplemented
49#14583576C22112yescomplemented
50#14583571C2211yescharacteristic, complemented
51#14583571C2212yescomplemented
52#14583571C2213yescomplemented
53Q8×D172C2212yescomplemented
54Q8×D172C2211yescharacteristic, complemented
55#14583561C2212yescomplemented
56#14583561C2212yescomplemented
57#14583561C2212yescomplemented
58#14583560C2216yescomplemented
59#14583553C2213yescomplemented
60#14583553C2216yescomplemented
61#14583552C2213yescomplemented
62#14583552C2216yescomplemented
63#14583544C2216yescomplemented
64#14583544C2216yescomplemented
65#14583544C2216yescomplemented
66#14583540C2216yescomplemented
67#14583540C22112yescomplemented
68D4×D172C2213yescomplemented
69D4×D172C2216yescomplemented
70#14583523C2216yescomplemented
71#14583523C2216yescomplemented
72#14583523C2216yescomplemented
73#14583523C2216yescomplemented
74#14583512C2216yescomplemented
75#14583512C2216yescomplemented
76#14583505C2216yescomplemented
77#14583505C2216yescomplemented
78#14583498C22112yescomplemented
79#14583498C22112yescomplemented
80#14583489C22112yescomplemented
81#14583489C22112yescomplemented
82#14583454C2213yescomplemented
83#14583454C2213yescomplemented
84#14583450C2213yescomplemented
85#14583450C2213yescomplemented
86#14583449C2213yescomplemented
87#14583449C2216yescomplemented
88#14583436C2213yes—
89#14583436C2211yescharacteristic
90#14583436C2213yescomplemented
91#14583436C2213yescomplemented
92#14583436C2216yescomplemented
93#14583436C2213yescomplemented
94#14583436C2213yescomplemented
95#14583436C2216yescomplemented
96#14583436C2213yescomplemented
97#14583436C2216yescomplemented
98#14583436C2213yescomplemented
99#14583436C2216yescomplemented
100#14583436C2216yescomplemented
101#14583436C22112yescomplemented
102#14583436C22112yescomplemented
103#14583435C2216yescomplemented
104#14583435C2216yescomplemented
105#14583434C2216yescomplemented
106#14583434C2216yescomplemented
107C2×#13063320C2216yescomplemented
108C2×#13063316C2213yescomplemented
109C2×#13063314C2213yescomplemented
110#14583412C2216yescomplemented
111#14583412C2216yescomplemented
112#14583411C2216yescomplemented
113#14583411C2216yescomplemented
114#14583411C2216yescomplemented
115C2×#13063310C2216yescomplemented
116C2×#13063301C2213yescomplemented
117C2×#13063300C2213yes—
118#14583381C2212yescomplemented
119#14583381C2212yescomplemented
120#14583378C2216yescomplemented
121#14583378C2216yescomplemented
122#14583375C2212yescomplemented
123#14583375C2212yescomplemented
124#14583371C2216yescomplemented
125#14583371C2216yescomplemented
126#41×Dic43C2211yescharacteristic
127C4×#10621902C2211yescharacteristic, complemented
128C4×#10621902C2216yescomplemented
129C4×#10621902C2216yescomplemented
130C4×#10621902C2211yescharacteristic, complemented
131C4×#10621898C2216yescomplemented
132C4×#10621898C2213yescomplemented
133#14583367C2216yescomplemented
134#14583367C2213yescomplemented
135C4×#10621900C2213yescomplemented
136C4×#10621900C2213yescomplemented
137C4×Q8×D43C2211yescharacteristic, complemented
138C4×Q8×D43C2211yescharacteristic, complemented
139C2×C4×D172C2213yescomplemented
140C2×C4×D172C2216yescomplemented
141C4×D4×D43C2213yescomplemented
142C4×D4×D43C2213yescomplemented
143C2×#13063282C2216yescomplemented
144#117×D43C2216yescomplemented
145#117×D43C2213yescomplemented
146C2×C42×D43C2213yescomplemented
147Q82×C43C2211yescharacteristic, complemented
148C43×#557C2212yescomplemented
149C43×#557C2211yescharacteristic, complemented
150C43×#554C2213yescomplemented
151C43×#554C2216yescomplemented
152D4×Q8×C43C2213yescomplemented
153C43×#533C2213yescomplemented
154C43×#533C2216yescomplemented
155C4×#41×C43C2212yes—
156C4×#41×C43C2211yescharacteristic
157C2×C4×Q8×C43C2213yescomplemented
158C2×#10621902C2311yescharacteristic
159C2×#10621902C2312yes—
160C2×#10621902C2316yes—
161C2×#10621902C2316yes—
162C2×#10621898C2316yes—
163C2×#10621898C2313yes—
164C2×#10621900C2313yes—
165C2×#10621900C2316yes—
166#41×D43—216no—
167#41×D43—28no—
168C2×Q8×D43C2311yescharacteristic
169C2×Q8×D43C2312yes—
170C22×D172C2316yes—
171C22×D172C2313yes—
172C2×D4×D43C2313yes—
173C2×D4×D43C2316yes—
174C22×C4×D43C2313yes—
175C22×C4×D43C2316yes—
176C22×C4×D43C2313yes—
177C22×C4×D43C2313yes—
178#13063325C2313yes—
179#13063325C2316yes—
180#13063322C2313yes—
181#13063322C2316yes—
182#13063320C2316yes—
183#13063320C23112yes—
184#13063320C2316yes—
185#13063320C23112yes—
186#13063320C23112yes—
187#13063320C2316yes—
188#13063320C23112yes—
189#13063320C2316yes—
190#13063320C2312yes—
191#13063320C2316yes—
192#13063320C2316yes—
193#13063320C2316yes—
194#13063320C23112yes—
195#13063316C2316yes—
196#13063316C23112yes—
197#13063316C23112yes—
198#13063316C2313yes—
199#13063316C2313yes—
200#13063316C2311yescharacteristic
201#13063316C2313yes—
202#13063316C2316yes—
203#13063316C2316yes—
204#13063314C2313yes—
205#13063314C23112yes—
206#13063314C2316yes—
207#13063314C23112yes—
208#13063314C2313yes—
209#13063314C2311yescharacteristic
210#13063314C2313yes—
211#13063314C2316yes—
212#13063314C2316yes—
213#13063313C2316yes—
214#13063313C2316yes—
215#13063313C2316yes—
216#13063310C2316yes—
217#13063310C23112yes—
218#13063310C23112yes—
219#13063310C2316yes—
220#13063310C23112yes—
221#13063310C2316yes—
222#13063310C23112yes—
223#13063310C2316yes—
224#13063310C2312yes—
225#13063310C2316yes—
226#13063310C2316yes—
227#13063310C2316yes—
228#13063310C23112yes—
229#13063309C23112yes—
230#13063309C23112yes—
231#13063309C23112yes—
232#13063305C2316yes—
233#13063305C2316yes—
234#13063305C2316yes—
235#13063305C2316yes—
236#13063305C2316yes—
237#13063305C2316yes—
238#13063301C2313yes—
239#13063301C23112yes—
240#13063301C2313yes—
241#13063301C23112yes—
242#13063301C2316yes—
243#13063301C2311yescharacteristic
244#13063301C2313yes—
245#13063301C2316yes—
246#13063301C2316yes—
247#13063300C2316yes—
248#13063300C2316yes—
249#13063300C2316yes—
250#13063300C2316yes—
251#13063300C2316yes—
252#13063300C2313yes—
253#13063300C23112yes—
254#13063300C2316yes—
255#13063300C2316yes—
256#13063300C23112yes—
257#13063300C2313yes—
258#13063300C2311yescharacteristic
259#13063300C2313yes—
260#13063300C2316yes—
261#13063300C2316yes—
262#13063299C2316yes—
263#13063299C23112yes—
264#13063299C23112yes—
265#13063299C2316yes—
266#13063295C23112yes—
267#13063295C23112yes—
268#13063295C23112yes—
269Q8×Dic43C2316yes—
270Q8×Dic43C2316yes—
271Q8×Dic43C2311yescharacteristic
272Q8×Dic43C2311yescharacteristic
273C4×Dic86C2313yes—
274C4×Dic86C2316yes—
275C4×Dic86C2313yes—
276C4×Dic86C2316yes—
277#13063290C2313yes—
278#13063290C2313yes—
279#13063290C2316yes—
280#13063290C2316yes—
281C4×D172C2313yes—
282C4×D172C2316yes—
283C4×D172C2313yes—
284C4×D172C2316yes—
285C4×D172C2316yes—
286C4×D172C2316yes—
287C4×D172C2316yes—
288C4×D172C2316yes—
289C4×D172C2313yes—
290C4×D172C2316yes—
291C4×D172C2313yes—
292C4×D172C2311yescharacteristic
293C4×D172C2312yes—
294C4×D172C2316yes—
295C4×D172C2313yes—
296C4×D172C2316yes—
297C4×D172C2316yes—
298C4×D172C2316yes—
299C4×D172C2316yes—
300C4×D172C23112yes—
301D4×Dic43C2313yes—
302D4×Dic43C2313yes—
303#13063287C2316yes—
304#13063287C23112yes—
305#13063287C23112yes—
306#13063287C2316yes—
307#13063287C2313yes—
308#13063287C2313yes—
309#13063287C2316yes—
310#13063287C2316yes—
311C4×C22⋊D43C23112yes—
312C4×C22⋊D43C2316yes—
313C4×C22⋊D43C2316yes—
314C4×C22⋊D43C23112yes—
315(C22⋊D43)⋊C4C2316yes—
316(C22⋊D43)⋊C4C2316yes—
317(C22⋊D43)⋊C4C23112yes—
318(C22⋊D43)⋊C4C23112yes—
319#13063284C2313yes—
320#13063283C2316yes—
321#13063283C23112yes—
322#13063283C23112yes—
323#13063283C2313yes—
324#13063283C2316yes—
325#13063283C2316yes—
326#13063283C2316yes—
327#13063283C2313yes—
328#13063282C2316yes—
329#13063282C2316yes—
330#13063282C2312yes—
331#13063282C2316yes—
332#13063282C2316yes—
333#13063282C2316yes—
334#13063282C2316yes—
335#13063282C2316yes—
336#13063282C2316yes—
337#13063281C2316yes—
338#13063281C23112yes—
339C2×C4⋊Dic43C2313yes—
340C2×C4⋊Dic43C2316yes—
341C2×Dic43⋊C4C2316yes—
342C2×Dic43⋊C4C2316yes—
343C4⋊C4×D43C2313yes—
344C4⋊C4×D43C2316yes—
345C4⋊C4×D43C2316yes—
346C4⋊C4×D43C2313yes—
347C2×(C2×D43)⋊C4C2316yes—
348C2×(C2×D43)⋊C4C2316yes—
349C2×(C2×D43)⋊C4C2316yes—
350C2×(C2×D43)⋊C4C2316yes—
351C2×(C2×D43)⋊C4C2316yes—
352C22⋊C4×D43C2316yes—
353C22⋊C4×D43C23112yes—
354C2×C4×Dic43C2313yes—
355C2×C4×Dic43C2313yes—
356C2×C4×Dic43C2313yes—
357C42×D43C2311yescharacteristic
358C42×D43C2313yes—
359C42×D43C2313yes—
360C42×D43C2313yes—
361C42×D43C2313yes—
362C42×D43C2313yes—
363C42×D43C2313yes—
364C42×D43C2313yes—
365C42×D43C23112yes—
366C2×#41×C43C2311yescharacteristic
367C22×Q8×C43C2313yes—
368C4⋊Q8×C43C2313yes—
369C4⋊Q8×C43C2316yes—
370C4⋊Q8×C43C2316yes—
371C4⋊Q8×C43C2313yes—
372#125×C43C2316yes—
373#125×C43C2316yes—
374#125×C43C2316yes—
375C22⋊Q8×C43C23112yes—
376C22⋊Q8×C43C2316yes—
377C22⋊Q8×C43C2316yes—
378C22⋊Q8×C43C23112yes—
379C4×Q8×C43C2311yescharacteristic
380C4×Q8×C43C2312yes—
381C4×Q8×C43C2312yes—
382C4×Q8×C43C2311yescharacteristic
383C4×Q8×C43C2311yescharacteristic
384C4×Q8×C43C2313yes—
385C4×Q8×C43C2313yes—
386C4×Q8×C43C2316yes—
387C4×Q8×C43C2313yes—
388C4×Q8×C43C2316yes—
389C4×Q8×C43C2316yes—
390C4×D4×C43C2313yes—
391C4×D4×C43C2316yes—
392C4×D4×C43C2316yes—
393C4×D4×C43C2313yes—
394#117×C43C2316yes—
395#117×C43C2313yes—
396C2×C4⋊C4×C43C2313yes—
397C2×C4⋊C4×C43C2316yes—
398C2×C42×C43C2313yes—
399C2×C42×C43C2316yes—
400C23×D43C2413yes—
401C23×D43C2416yes—
402#41×C43#4118yescomplemented
403C2×Q8×C43—46no—
404C2×Q8×C43C2411yescharacteristic
405C2×Q8×C43C2413yes—
406C2×Q8×C43C2416yes—
407C2×Q8×C43C2416yes—
408C2×Q8×C43C2411yescharacteristic
409C2×D4×C43C2413yes—
410C22×C4×C43C2413yes—
411C22×C4×C43C2413yes—
412C22×C4×C43C2416yes—
413C22×C4×C43C2416yes—
414C22×C4×C43C2413yes—
415C2×C22⋊D43C2416yes—
416C2×C22⋊D43C24112yes—
417C22×Dic43C2413yes—
418C22×Dic43C2416yes—
419C22×Dic43C2413yes—
420C22×Dic43C2413yes—
421#10621902—24no—
422#10621902—28no—
423#10621902—412no—
424#10621902—412no—
425Q8×D43—24no—
426Q8×D43—28no—
427#10621900—212no—
428#10621900—224no—
429D4×D43—212no—
430D4×D43—224no—
431#10621898—224no—
432#10621898—212no—
433C2×D172—412no—
434C2×D172—46no—
435C2×D172C2416yes—
436C2×D172C2413yes—
437C2×D172C2413yes—
438C2×D172C2416yes—
439C2×D172C2412yes—
440C2×D172C2411yescharacteristic
441C2×D172C2416yes—
442C2×D172C24112yes—
443C2×D172C2416yes—
444C2×D172C2416yes—
445C2×D172C2416yes—
446C2×C4×D43—212no—
447C2×C4×D43—224no—
448C2×C4×D43—46no—
449C2×C4×D43—46no—
450C2×C4×D43C2411yescharacteristic
451C2×C4×D43C2411yescharacteristic
452C2×C4×D43C2411yescharacteristic
453C2×C4×D43C2413yes—
454C2×C4×D43C2413yes—
455C2×C4×D43C2413yes—
456C2×C4×D43C2416yes—
457C2×C4×D43C2413yes—
458C2×C4×D43C2413yes—
459C2×C4×D43C2416yes—
460C2×C4×D43C2412yes—
461C2×C4×D43C2416yes—
462C2×C4×D43C2413yes—
463C2×C4×D43C2413yes—
464C2×C4×D43C2413yes—
465C2×C4×D43C2413yes—
466C2×C4×D43C24112yes—
467C2×C4×D43C24112yes—
468C2×Dic86C2413yes—
469C2×Dic86C2416yes—
470C4⋊C4×C43C2411yescharacteristic
471C4⋊C4×C43C2412yes—
472C4⋊C4×C43C2416yes—
473C4⋊C4×C43C2416yes—
474C4⋊C4×C43C2416yes—
475C4⋊C4×C43C2413yes—
476C4⋊C4×C43C2416yes—
477C4⋊C4×C43C2413yes—
478C4⋊C4×C43C2416yes—
479C4⋊C4×C43C2416yes—
480C4⋊C4×C43C2413yes—
481C4⋊C4×C43C2416yes—
482C4⋊C4×C43C24112yes—
483C22⋊C4×C43C2416yes—
484C22⋊C4×C43C24112yes—
485C42×C43C2411yescharacteristic
486C42×C43C2412yes—
487C42×C43C2413yes—
488C42×C43C2416yes—
489C42×C43C2413yes—
490C42×C43C2416yes—
491C42×C43C2413yes—
492C42×C43C2416yes—
493C22⋊Dic43C2416yes—
494(C2×D43)⋊C4C2416yes—
495(C2×D43)⋊C4C2416yes—
496(C2×D43)⋊C4C2416yes—
497(C2×D43)⋊C4C2416yes—
498(C2×D43)⋊C4C2412yes—
499(C2×D43)⋊C4C2412yes—
500(C2×D43)⋊C4C2412yes—
501(C2×D43)⋊C4C2412yes—
502(C2×D43)⋊C4C2412yes—
503(C2×D43)⋊C4C2416yes—
504(C2×D43)⋊C4C2416yes—
505(C2×D43)⋊C4C2416yes—
506(C2×D43)⋊C4C2416yes—
507(C2×D43)⋊C4C2416yes—
508(C2×D43)⋊C4C2416yes—
509(C2×D43)⋊C4C2416yes—
510(C2×D43)⋊C4C2416yes—
511(C2×D43)⋊C4C2416yes—
512(C2×D43)⋊C4C2416yes—
513(C2×D43)⋊C4C2416yes—
514(C2×D43)⋊C4C2416yes—
515(C2×D43)⋊C4C2416yes—
516(C2×D43)⋊C4C24112yes—
517(C2×D43)⋊C4C24112yes—
518(C2×D43)⋊C4C24112yes—
519C4⋊Dic43C2413yes—
520C4⋊Dic43C2413yes—
521C4⋊Dic43C2411yescharacteristic
522C4⋊Dic43C2412yes—
523C4⋊Dic43C2413yes—
524C4⋊Dic43C2416yes—
525C4⋊Dic43C2416yes—
526C4⋊Dic43C2416yes—
527C4⋊Dic43C2416yes—
528C4⋊Dic43C2416yes—
529C4⋊Dic43C24112yes—
530Dic43⋊C4C2416yes—
531Dic43⋊C4C2416yes—
532Dic43⋊C4C2416yes—
533Dic43⋊C4C2416yes—
534Dic43⋊C4C2412yes—
535Dic43⋊C4C2412yes—
536Dic43⋊C4C2416yes—
537Dic43⋊C4C2416yes—
538Dic43⋊C4C2416yes—
539Dic43⋊C4C2416yes—
540C4×Dic43C2413yes—
541C4×Dic43C2411yescharacteristic
542C4×Dic43C2411yescharacteristic
543C4×Dic43C2411yescharacteristic
544C4×Dic43C2413yes—
545C4×Dic43C2413yes—
546C4×Dic43C2413yes—
547C4×Dic43C2413yes—
548C4×Dic43C2413yes—
549C4×Dic43C2413yes—
550C4×Dic43C2413yes—
551C4×Dic43C2413yes—
552C4×Dic43C24112yes—
553C4×Dic43C24112yes—
554C23×C43C2513yes—
555C22×D43—26no—
556C22×D43—212no—
557C22×D43—26no—
558C22×D43—43no—
559C22×D43—46no—
560C22×D43—46no—
561C22×D43C2512yes—
562C22×D43C2513yes—
563C22×D43C2516yes—
564C22×D43C2511yescharacteristic
565Q8×C43—26no—
566Q8×C43—22no—
567Q8×C43—46no—
568Q8×C43—46no—
569Q8×C43C2×#4114yes—
570D4×C43C2×#41112yes—
571C2×C4×C43—26no—
572C2×C4×C43—43no—
573C2×C4×C43—46no—
574C2×C4×C43—46no—
575C2×C4×C43C2×#41112yes—
576C2×C4×C43C2511yescharacteristic
577C2×C4×C43C2513yes—
578C2×C4×C43C2516yes—
579C2×C4×C43C2513yes—
580C2×C4×C43C2516yes—
581C2×C4×C43C2512yes—
582C2×C4×C43C2512yes—
583C2×C4×C43C2513yes—
584C2×C4×C43C2511yescharacteristic
585C2×C4×C43C2511yescharacteristic
586C22⋊D43—212no—
587C22⋊D43—224no—
588C2×Dic43—26no—
589C2×Dic43—212no—
590C2×Dic43—43no—
591C2×Dic43—43no—
592C2×Dic43C2511yescharacteristic
593C2×Dic43C2511yescharacteristic
594C2×Dic43C2513yes—
595C2×Dic43C2513yes—
596C2×Dic43C2511yescharacteristic
597C2×Dic43C2513yes—
598C2×Dic43C2516yes—
599C2×Dic43C2512yes—
600D172—24no—
601D172—212no—
602D172—26no—
603D172—212no—
604D172—22no—
605D172—26no—
606D172—46no—
607D172—46no—
608D172—46no—
609D172—46no—
610D172—412no—
611C4×D43—22no—
612C4×D43—26no—
613C4×D43—22no—
614C4×D43—24no—
615C4×D43—26no—
616C4×D43—212no—
617C4×D43—26no—
618C4×D43—212no—
619C4×D43—26no—
620C4×D43—212no—
621C4×D43—22no—
622C4×D43—26no—
623C4×D43—43no—
624C4×D43—43no—
625C4×D43—43no—
626C4×D43—43no—
627C4×D43—412no—
628C4×D43—412no—
629Dic86—26no—
630Dic86—212no—
631#62816—431nomaximal, Sylow
632C22×C43—23no—
633C22×C43—23no—
634C22×C43C22×#4116yes—
635C22×C43C2611yescharacteristic
636C2×D43—21no—
637C2×D43—21no—
638C2×D43—22no—
639C2×D43—23no—
640C2×D43—26no—
641C2×D43—23no—
642C2×D43—22no—
643C2×D43—22no—
644C2×D43—23no—
645C2×D43—26no—
646C2×D43—26no—
647C2×D43—412no—
648C2×D43—812no—
649C2×D43#58512yes—
650C4×C43—21no—
651C4×C43—23no—
652C4×C43—26no—
653C4×C43—23no—
654C4×C43—26no—
655C4×C43—22no—
656C4×C43—22no—
657C4×C43C22×#4116yes—
658C4×C43C22×#4112yes—
659C4×C43#58512yes—
660Dic43—23no—
661Dic43—26no—
662Dic43—21no—
663Dic43—22no—
664Dic43—23no—
665Dic43—23no—
666Dic43—21no—
667Dic43—21no—
668#3524—432no—
669#3523—431no—
670#3522—431no—
671#3521—436no—
672#3520—433no—
673#3519—433no—
674#3518—431no—
675#3517—431no—
676#3516—432no—
677#3515—433no—
678#3514—433no—
679#3513—436no—
680#3480—433no—
681Q8×#41D4311yescharacteristic, complemented
682#3475—436no—
683#3475—433no—
684D4×#41—431no—
685D4×#41—432no—
686#3455—436no—
687#3444—433no—
688C2×#529—433no—
689#3428—432no—
690C2×C4×#41—431no—
691C2×C43—26no—
692C2×C43C23×#4111yescharacteristic
693C2×C43C2×#58511yescharacteristic
694C2×C43C2×#58511yescharacteristic
695D43—22no—
696D43—43no—
697D43—46no—
698D43—42no—
699C22×#41—431no—
700C22×#41—432no—
701#559—436no—
702#559—433no—
703Q82C2×D4311yescharacteristic, complemented
704#557—433no—
705#557C2×D4312yescomplemented
706#557C2×D4311yescharacteristic, complemented
707#556—433no—
708#556—436no—
709#556—436no—
710#556—433no—
711#555—436no—
712#555—433no—
713#554—433no—
714#554—436no—
715#554C2×D4316yescomplemented
716#554C2×D4313yescomplemented
717#553—436no—
718#553—436no—
719#553—436no—
720#553—4312no—
721#553—436no—
722#552—436no—
723#552—436no—
724#552—436no—
725#552—436no—
726#552—4312no—
727#551—4312no—
728#551—4312no—
729#551—4312no—
730#550—431no—
731#550—432no—
732#550—433no—
733D4×Q8—432no—
734D4×Q8—431no—
735D4×Q8C2×D4313yescomplemented
736#548—436no—
737#548—432no—
738#548—432no—
739#548—432no—
740#547—436no—
741#547—433no—
742#547—433no—
743#547—436no—
744#546—4312no—
745#546—436no—
746#546—436no—
747#546—436no—
748#546—436no—
749D42—436no—
750D42—433no—
751#542—436no—
752#542—436no—
753#542—436no—
754#542—436no—
755#541—436no—
756#541—436no—
757#540—436no—
758#540—436no—
759#539—4312no—
760#539—4312no—
761#538—4312no—
762#538—4312no—
763#533—433no—
764#533—433no—
765#533C2×D4313yescomplemented
766#533C2×D4316yescomplemented
767#532—433no—
768#532—433no—
769#532—433no—
770#532—436no—
771#529—436no—
772#529—436no—
773#529—436no—
774#529—436no—
775#529—431no—
776#529—433no—
777#529—436no—
778#529—433no—
779#529—436no—
780#529—433no—
781#529—433no—
782#529—436no—
783#529—433no—
784#529—433no—
785#529—433no—
786#529—436no—
787#529—436no—
788#529—4312no—
789#529—4312no—
790C2×#126—436no—
791C2×#125—433no—
792C2×#124—433no—
793#525—436no—
794#525—436no—
795#525—436no—
796#525—436no—
797#525—436no—
798C2×#123—436no—
799C2×C22⋊Q8—433no—
800C2×#121—433no—
801#520—432no—
802#520—432no—
803#520—436no—
804#520—436no—
805#519—432no—
806#519—432no—
807#518—436no—
808#518—436no—
809C4×#41—431no—
810C4×#41—431no—
811C4×#41—431no—
812C4×#41—436no—
813C4×#41—436no—
814C4×#41—433no—
815C4×#41—433no—
816C4×#41—433no—
817C4×#41—436no—
818C4×#41—433no—
819C4×#41—436no—
820C4×#41C2×D4311yescharacteristic
821C4×#41C2×D4312yes—
822C2×C4×Q8—431no—
823C2×C4×Q8—431no—
824C2×C4×Q8C2×D4313yescomplemented
825C2×C4×D4—433no—
826C2×C4×D4—433no—
827C2×C4×D4—436no—
828C2×C4×D4—433no—
829C2×#117—433no—
830C2×#117—436no—
831C2×#117—436no—
832C22×C42—433no—
833C43#6281611yescharacteristic, complemented, Sylow
834C2×#41—431no—
835C2×#41—432no—
836C2×#41—436no—
837C2×#41—436no—
838C2×#41—433no—
839C2×#41—436no—
840C2×#41—433no—
841C2×#41—436no—
842C2×#41—868no—
843C2×#41—8616no—
844C2×#41C22×D4311yescharacteristic
845C22×Q8—431no—
846C22×Q8—432no—
847C22×Q8C22×D4313yes—
848C22×D4—433no—
849C22×D4—436no—
850C22×D4—436no—
851C22×D4—433no—
852C23×C4—436no—
853C23×C4—433no—
854C23×C4—433no—
855C23×C4—433no—
856C4⋊Q8—433no—
857C4⋊Q8—436no—
858C4⋊Q8C22×D4313yes—
859C4⋊Q8C22×D4313yes—
860C4⋊Q8C22×D4316yes—
861C4⋊Q8C22×D4316yes—
862#127—433no—
863#127—436no—
864#126—432no—
865#126—436no—
866#126—436no—
867#126—436no—
868#126—436no—
869#126—436no—
870#126—436no—
871#126—436no—
872#126—4312no—
873#126—4312no—
874#126—4312no—
875#126—4312no—
876#126—4312no—
877#125—431no—
878#125—433no—
879#125—436no—
880#125—436no—
881#125—433no—
882#125—433no—
883#125—436no—
884#125—4312no—
885#125—4312no—
886#125C22×D4316yes—
887#125C22×D4316yes—
888#125C22×D4316yes—
889#124—431no—
890#124—433no—
891#124—436no—
892#124—433no—
893#124—433no—
894#124—436no—
895#124—436no—
896#124—4312no—
897#124—4312no—
898#124—436no—
899#124—436no—
900#124—436no—
901#123—432no—
902#123—436no—
903#123—436no—
904#123—436no—
905#123—436no—
906#123—436no—
907#123—436no—
908#123—436no—
909#123—4312no—
910#123—4312no—
911#123—4312no—
912#123—4312no—
913#123—4312no—
914#123—4312no—
915#123—4312no—
916#123—4312no—
917C22⋊Q8—431no—
918C22⋊Q8—433no—
919C22⋊Q8—436no—
920C22⋊Q8—433no—
921C22⋊Q8—433no—
922C22⋊Q8—436no—
923C22⋊Q8—436no—
924C22⋊Q8—4312no—
925C22⋊Q8—4312no—
926C22⋊Q8—436no—
927C22⋊Q8—436no—
928C22⋊Q8—436no—
929C22⋊Q8—436no—
930C22⋊Q8—436no—
931C22⋊Q8—436no—
932C22⋊Q8C22×D4316yes—
933C22⋊Q8C22×D4316yes—
934C22⋊Q8C22×D43112yes—
935C22⋊Q8C22×D43112yes—
936#121—436no—
937#121—436no—
938#121—4312no—
939#121—4312no—
940#121—431no—
941#121—433no—
942#121—436no—
943#121—436no—
944#121—433no—
945#121—433no—
946#121—436no—
947#121—436no—
948#121—436no—
949#121—436no—
950#121—436no—
951#121—436no—
952#121—436no—
953#121—4312no—
954#121—4312no—
955#120—4312no—
956#120—4312no—
957#120—4312no—
958C4×Q8—431no—
959C4×Q8—431no—
960C4×Q8—436no—
961C4×Q8—436no—
962C4×Q8—433no—
963C4×Q8—433no—
964C4×Q8—436no—
965C4×Q8—436no—
966C4×Q8—433no—
967C4×Q8—433no—
968C4×Q8—436no—
969C4×Q8—436no—
970C4×Q8C22×D4311yescharacteristic
971C4×Q8C22×D4311yescharacteristic
972C4×Q8C22×D4311yescharacteristic
973C4×Q8C22×D4313yes—
974C4×Q8C22×D4316yes—
975C4×Q8C22×D4313yes—
976C4×Q8C22×D4313yes—
977C4×Q8C22×D4316yes—
978C4×Q8C22×D4316yes—
979C4×Q8C22×D4312yes—
980C4×Q8C22×D4312yes—
981C4×D4—433no—
982C4×D4—433no—
983C4×D4—436no—
984C4×D4—436no—
985C4×D4—4312no—
986C4×D4—4312no—
987C4×D4—433no—
988C4×D4—433no—
989C4×D4—436no—
990C4×D4—436no—
991C4×D4—4312no—
992C4×D4—4312no—
993C4×D4—436no—
994C4×D4—436no—
995C4×D4—436no—
996C4×D4—436no—
997C4×D4—4312no—
998C4×D4—4312no—
999C4×D4—431no—
1000C4×D4—432no—
1001C4×D4—436no—
1002C4×D4—433no—
1003C4×D4—433no—
1004C4×D4—433no—
1005C4×D4—436no—
1006C4×D4—436no—
1007C4×D4—436no—
1008C4×D4—436no—
1009C4×D4—433no—
1010C4×D4—436no—
1011C4×D4—436no—
1012C4×D4—436no—
1013C4×D4—433no—
1014C4×D4—436no—
1015C4×D4—436no—
1016C4×D4—436no—
1017C4×D4—436no—
1018C4×D4—4312no—
1019C4×D4C22×D4313yes—
1020C4×D4C22×D4313yes—
1021C4×D4C22×D4316yes—
1022C4×D4C22×D4316yes—
1023#117—433no—
1024#117—433no—
1025#117—433no—
1026#117—436no—
1027#117—436no—
1028#117—436no—
1029#117—436no—
1030#117—4312no—
1031#117—4312no—
1032#117—436no—
1033#117—4312no—
1034#117—436no—
1035#117—432no—
1036#117—436no—
1037#117—436no—
1038#117—436no—
1039#117—436no—
1040#117—436no—
1041#117—436no—
1042#117—436no—
1043#117C22×D4313yes—
1044#117C22×D4316yes—
1045C2×C4⋊C4—436no—
1046C2×C4⋊C4—436no—
1047C2×C4⋊C4—433no—
1048C2×C4⋊C4—436no—
1049C2×C4⋊C4—433no—
1050C2×C4⋊C4—433no—
1051C2×C4⋊C4—436no—
1052C2×C4⋊C4—436no—
1053C2×C4⋊C4C22×D4313yes—
1054C2×C4⋊C4C22×D4316yes—
1055C2×C22⋊C4—436no—
1056C2×C22⋊C4—436no—
1057C2×C22⋊C4—436no—
1058C2×C22⋊C4—436no—
1059C2×C22⋊C4—436no—
1060C2×C22⋊C4—436no—
1061C2×C22⋊C4—4312no—
1062C2×C42—433no—
1063C2×C42—433no—
1064C2×C42—433no—
1065C2×C42—433no—
1066C2×C42—4312no—
1067C2×C42—433no—
1068C2×C42—433no—
1069C2×C42—433no—
1070C2×C42—433no—
1071C2×C42—433no—
1072C2×C42—433no—
1073C2×C42—431no—
1074C2×C42C22×D4316yes—
1075C2×C42C22×D4313yes—
1076C24—433no—
1077C24—436no—
1078#41—864no—
1079#41—868no—
1080#41—8612no—
1081#41—8624no—
1082#41—8612no—
1083#41—8624no—
1084#41—17212no—
1085#41—17212no—
1086#41#1062190218yescomplemented
1087C2×Q8—46no—
1088C2×Q8—433no—
1089C2×Q8—436no—
1090C2×Q8—864no—
1091C2×Q8—868no—
1092C2×Q8C23×D4313yes—
1093C2×Q8C23×D4311yescharacteristic
1094C2×Q8C23×D4316yes—
1095C2×Q8C23×D4316yes—
1096C2×Q8C23×D4311yescharacteristic
1097C2×D4—436no—
1098C2×D4—4312no—
1099C2×D4—436no—
1100C2×D4—432no—
1101C2×D4—431no—
1102C2×D4—433no—
1103C2×D4—436no—
1104C2×D4—433no—
1105C2×D4—436no—
1106C2×D4—436no—
1107C2×D4—4312no—
1108C2×D4—436no—
1109C2×D4—436no—
1110C2×D4—8624no—
1111C2×D4—8612no—
1112C2×D4—1726no—
1113C2×D4—17212no—
1114C2×D4C23×D4313yes—
1115C22×C4—433no—
1116C22×C4—436no—
1117C22×C4—433no—
1118C22×C4—433no—
1119C22×C4—431no—
1120C22×C4—431no—
1121C22×C4—433no—
1122C22×C4—433no—
1123C22×C4—433no—
1124C22×C4—433no—
1125C22×C4—436no—
1126C22×C4—436no—
1127C22×C4—431no—
1128C22×C4—436no—
1129C22×C4—433no—
1130C22×C4—432no—
1131C22×C4—433no—
1132C22×C4—433no—
1133C22×C4—433no—
1134C22×C4—433no—
1135C22×C4—4312no—
1136C22×C4—4312no—
1137C22×C4—8624no—
1138C22×C4—8612no—
1139C22×C4—1726no—
1140C22×C4—1726no—
1141C22×C4C23×D4313yes—
1142C22×C4C23×D4313yes—
1143C22×C4C23×D4316yes—
1144C22×C4C23×D4316yes—
1145C22×C4C23×D4313yes—
1146C4⋊C4—433no—
1147C4⋊C4—433no—
1148C4⋊C4—432no—
1149C4⋊C4—436no—
1150C4⋊C4—436no—
1151C4⋊C4—432no—
1152C4⋊C4—431no—
1153C4⋊C4—432no—
1154C4⋊C4—433no—
1155C4⋊C4—436no—
1156C4⋊C4—436no—
1157C4⋊C4—436no—
1158C4⋊C4—436no—
1159C4⋊C4—436no—
1160C4⋊C4—436no—
1161C4⋊C4—436no—
1162C4⋊C4—436no—
1163C4⋊C4—436no—
1164C4⋊C4—436no—
1165C4⋊C4—436no—
1166C4⋊C4—4312no—
1167C4⋊C4C23×D4313yes—
1168C4⋊C4C23×D4313yes—
1169C4⋊C4C23×D4316yes—
1170C4⋊C4C23×D4316yes—
1171C4⋊C4C23×D4311yescharacteristic
1172C4⋊C4C23×D4312yes—
1173C4⋊C4C23×D4313yes—
1174C4⋊C4C23×D4316yes—
1175C4⋊C4C23×D4316yes—
1176C4⋊C4C23×D4316yes—
1177C4⋊C4C23×D4316yes—
1178C4⋊C4C23×D4316yes—
1179C4⋊C4C23×D43112yes—
1180C22⋊C4—436no—
1181C22⋊C4—432no—
1182C22⋊C4—436no—
1183C22⋊C4—436no—
1184C22⋊C4—432no—
1185C22⋊C4—432no—
1186C22⋊C4—432no—
1187C22⋊C4—432no—
1188C22⋊C4—436no—
1189C22⋊C4—436no—
1190C22⋊C4—436no—
1191C22⋊C4—436no—
1192C22⋊C4—436no—
1193C22⋊C4—436no—
1194C22⋊C4—436no—
1195C22⋊C4—436no—
1196C22⋊C4—436no—
1197C22⋊C4—436no—
1198C22⋊C4—436no—
1199C22⋊C4—436no—
1200C22⋊C4—436no—
1201C22⋊C4—436no—
1202C22⋊C4—436no—
1203C22⋊C4—4312no—
1204C22⋊C4—4312no—
1205C22⋊C4—4312no—
1206C22⋊C4C23×D4316yes—
1207C22⋊C4C23×D43112yes—
1208C42—431no—
1209C42—431no—
1210C42—433no—
1211C42—433no—
1212C42—433no—
1213C42—433no—
1214C42—433no—
1215C42—433no—
1216C42—433no—
1217C42—433no—
1218C42—4312no—
1219C42—4312no—
1220C42—431no—
1221C42—433no—
1222C42C23×D4313yes—
1223C42C23×D4313yes—
1224C42C23×D4316yes—
1225C42C23×D4316yes—
1226C42C23×D4311yescharacteristic
1227C42C23×D4313yes—
1228C42C23×D4316yes—
1229C42C23×D4312yes—
1230C23—431no—
1231C23—432no—
1232C23—436no—
1233C23—433no—
1234C23—866no—
1235C23—8612no—
1236C23—866no—
1237C23—1726no—
1238C23—1726no—
1239C23—1723no—
1240C23C24×D4313yes—
1241Q8—22no—
1242Q8—26no—
1243Q8—46no—
1244Q8—46no—
1245Q8—866no—
1246Q8—8612no—
1247Q8C2×#1062190214yes—
1248D4—864no—
1249D4—8612no—
1250D4—8624no—
1251D4—8612no—
1252D4—8612no—
1253D4—866no—
1254D4—862no—
1255D4—866no—
1256D4—1726no—
1257D4—1726no—
1258D4—1726no—
1259D4—1726no—
1260D4—17212no—
1261D4C2×#10621902112yes—
1262C2×C4—26no—
1263C2×C4—43no—
1264C2×C4—46no—
1265C2×C4—46no—
1266C2×C4—431no—
1267C2×C4—431no—
1268C2×C4—433no—
1269C2×C4—431no—
1270C2×C4—433no—
1271C2×C4—433no—
1272C2×C4—436no—
1273C2×C4—432no—
1274C2×C4—862no—
1275C2×C4—866no—
1276C2×C4—866no—
1277C2×C4—8612no—
1278C2×C4—862no—
1279C2×C4—864no—
1280C2×C4—866no—
1281C2×C4—8612no—
1282C2×C4—866no—
1283C2×C4—8612no—
1284C2×C4—8612no—
1285C2×C4—866no—
1286C2×C4—862no—
1287C2×C4—866no—
1288C2×C4—1723no—
1289C2×C4—1723no—
1290C2×C4—1723no—
1291C2×C4—1723no—
1292C2×C4—17212no—
1293C2×C4—17212no—
1294C2×C4—1723no—
1295C2×C4—1723no—
1296C2×C4C2×#10621902112yes—
1297C2×C4C24×D4311yescharacteristic
1298C2×C4C24×D4313yes—
1299C2×C4C24×D4316yes—
1300C2×C4C24×D4313yes—
1301C2×C4C24×D4316yes—
1302C2×C4C24×D4312yes—
1303C2×C4C24×D4312yes—
1304C2×C4C24×D4313yes—
1305C2×C4C24×D4311yescharacteristic
1306C2×C4C24×D4311yescharacteristic
1307C22—23no—
1308C22—23no—
1309C22—432no—
1310C22—861no—
1311C22—861no—
1312C22—862no—
1313C22—866no—
1314C22—863no—
1315C22—866no—
1316C22—863no—
1317C22—862no—
1318C22—863no—
1319C22—866no—
1320C22—862no—
1321C22—34412no—
1322C22—17212no—
1323C22C22×#1062190216yes—
1324C22C25×D4311yescharacteristic
1325C4—21no—
1326C4—22no—
1327C4—23no—
1328C4—26no—
1329C4—23no—
1330C4—22no—
1331C4—26no—
1332C4—861no—
1333C4—862no—
1334C4—863no—
1335C4—866no—
1336C4—861no—
1337C4—863no—
1338C4—861no—
1339C4—863no—
1340C4C22×#1062190212yes—
1341C4C22×#1062190216yes—
1342C4#1458373512yes—
1343C2—26no—
1344C2—862no—
1345C2—1722no—
1346C2—1726no—
1347C2—1723no—
1348C2C23×#1062190211yescharacteristic
1349C2#585×D4311yescharacteristic
1350C2C2×#1458373511yescharacteristic
subgroupG/H
centerC2×C4C24×D43
commutator, socle, cosocleC22×C43C26
FrattiniC22C25×D43
FittingQ8×#41×C43C2
hypercenterQ8×#41D43
hypocenterC43#62816
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ Q8×#41

Complements

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

NH ≅ G/Ntype
1. #19148707C2semidirect
2. #19148692C2semidirect
3. #19148681C2semidirect
4. #19148666C2semidirect
5. #19148645C2semidirect
6. #19148628C2semidirect
7. #19148613C2semidirect
8. #19148602C2semidirect
9. #19148591C2semidirect
10. #19148574C2semidirect
11. #19148557C2semidirect
12. #19148538C2semidirect
13. #19148190C2semidirect
14. #19148162C2semidirect
15. #19148162C2semidirect
16. #41×D172C2semidirect
17. #41×D172C2semidirect
18. #19147987C2semidirect
19. #19147892C2semidirect
20. C2×#14583436C2semidirect
21. #19147794C2semidirect
22. C4×#41×D43C2semidirect
23. Q8×#41×C43C2semidirect
26. #14583634C22semidirect
27. #14583634C22semidirect
28. #14583628C22semidirect
29. #14583623C22semidirect
30. #14583623C22semidirect
31. #14583622C22semidirect
32. #14583622C22semidirect
33. #14583615C22semidirect
34. #14583615C22semidirect
35. #14583610C22semidirect
36. #14583610C22semidirect
37. #14583602C22semidirect
38. #14583602C22semidirect
39. #14583602C22semidirect
40. #14583597C22semidirect
41. #14583597C22semidirect
42. #14583591C22semidirect
43. #14583591C22semidirect
44. #14583587C22semidirect
45. #14583587C22semidirect
46. #14583587C22semidirect
47. #14583576C22semidirect
48. #14583576C22semidirect
49. #14583576C22semidirect
50. #14583571C22semidirect
51. #14583571C22semidirect
52. #14583571C22semidirect
53. Q8×D172C22semidirect
54. Q8×D172C22semidirect
55. #14583561C22semidirect
56. #14583561C22semidirect
57. #14583561C22semidirect
58. #14583560C22semidirect
59. #14583553C22semidirect
60. #14583553C22semidirect
61. #14583552C22semidirect
62. #14583552C22semidirect
63. #14583544C22semidirect
64. #14583544C22semidirect
65. #14583544C22semidirect
66. #14583540C22semidirect
67. #14583540C22semidirect
68. D4×D172C22semidirect
69. D4×D172C22semidirect
70. #14583523C22semidirect
71. #14583523C22semidirect
72. #14583523C22semidirect
73. #14583523C22semidirect
74. #14583512C22semidirect
75. #14583512C22semidirect
76. #14583505C22semidirect
77. #14583505C22semidirect
78. #14583498C22semidirect
79. #14583498C22semidirect
80. #14583489C22semidirect
81. #14583489C22semidirect
82. #14583454C22semidirect
83. #14583454C22semidirect
84. #14583450C22semidirect
85. #14583450C22semidirect
86. #14583449C22semidirect
87. #14583449C22semidirect
90. #14583436C22semidirect
91. #14583436C22semidirect
92. #14583436C22semidirect
93. #14583436C22semidirect
94. #14583436C22semidirect
95. #14583436C22semidirect
96. #14583436C22semidirect
97. #14583436C22semidirect
98. #14583436C22semidirect
99. #14583436C22semidirect
100. #14583436C22semidirect
101. #14583436C22semidirect
102. #14583436C22semidirect
103. #14583435C22semidirect
104. #14583435C22semidirect
105. #14583434C22semidirect
106. #14583434C22semidirect
107. C2×#13063320C22semidirect
108. C2×#13063316C22semidirect
109. C2×#13063314C22semidirect
110. #14583412C22semidirect
111. #14583412C22semidirect
112. #14583411C22semidirect
113. #14583411C22semidirect
114. #14583411C22semidirect
115. C2×#13063310C22semidirect
116. C2×#13063301C22semidirect
118. #14583381C22semidirect
119. #14583381C22semidirect
120. #14583378C22semidirect
121. #14583378C22semidirect
122. #14583375C22semidirect
123. #14583375C22semidirect
124. #14583371C22semidirect
125. #14583371C22semidirect
127. C4×#10621902C22semidirect
128. C4×#10621902C22semidirect
129. C4×#10621902C22semidirect
130. C4×#10621902C22semidirect
131. C4×#10621898C22semidirect
132. C4×#10621898C22semidirect
133. #14583367C22semidirect
134. #14583367C22semidirect
135. C4×#10621900C22semidirect
136. C4×#10621900C22semidirect
137. C4×Q8×D43C22semidirect
138. C4×Q8×D43C22semidirect
139. C2×C4×D172C22semidirect
140. C2×C4×D172C22semidirect
141. C4×D4×D43C22semidirect
142. C4×D4×D43C22semidirect
143. C2×#13063282C22semidirect
144. #117×D43C22semidirect
145. #117×D43C22semidirect
146. C2×C42×D43C22semidirect
147. Q82×C43C22semidirect
148. C43×#557C22semidirect
149. C43×#557C22semidirect
150. C43×#554C22semidirect
151. C43×#554C22semidirect
152. D4×Q8×C43C22semidirect
153. C43×#533C22semidirect
154. C43×#533C22semidirect
157. C2×C4×Q8×C43C22semidirect
402. #41×C43#41semidirect
681. Q8×#41D43semidirect
703. Q82C2×D43semidirect
705. #557C2×D43semidirect
706. #557C2×D43semidirect
715. #554C2×D43semidirect
716. #554C2×D43semidirect
735. D4×Q8C2×D43semidirect
765. #533C2×D43semidirect
766. #533C2×D43semidirect
824. C2×C4×Q8C2×D43semidirect
833. C43#62816semidirect
1086. #41#10621902semidirect

Maximal subgroups

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

subgroupindex
#191487072
#191486922
#191486812
#191486662
#191486452
#191486282
#191486132
#191486022
#191485912
#191485742
#191485572
#191485382
#191481902
#191481622
#41×D1722
#191479872
#191478922
C2×#145834362
#191477942
C4×#41×D432
Q8×#41×C432
#6281643