Finite Group Databasebeta

← #26005200

Subgroups — #26005200

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#19148697C212yesmaximal, complemented
2#19148686C211yesmaximal, characteristic, complemented
3#19148675C211yesmaximal, characteristic, complemented
4#19148652C216yesmaximal, complemented
5#19148635C213yesmaximal, complemented
6#19148618C213yesmaximal, complemented
7#19148607C211yesmaximal, characteristic, complemented
8#19148596C211yesmaximal, characteristic, complemented
9#19148581C212yesmaximal, complemented
10#19148564C213yesmaximal, complemented
11#19148547C213yesmaximal, complemented
12#19148524C216yesmaximal, complemented
13#19148192C213yesmaximal, complemented
14#41×Dic86C211yesmaximal, characteristic, complemented
15#19148155C216yesmaximal, complemented
16#19148153C213yesmaximal, complemented
17#41×C22⋊D43C212yesmaximal, complemented
18#19147983C216yesmaximal, complemented
19#19147890C213yesmaximal, complemented
20C2×#14583431C213yesmaximal, complemented
21#19147798C212yesmaximal, complemented
22C4×#41×D43C211yesmaximal, characteristic, complemented
23D4×#41×C43C211yesmaximal, characteristic, complemented
24C2×#41×D43C2211yescharacteristic
25#14583635C2213yescomplemented
26#14583631C2216yescomplemented
27Q8×Dic86C2211yescharacteristic, complemented
28#14583628C2211yescharacteristic, complemented
29#14583625C2212yescomplemented
30#14583624C2213yescomplemented
31#14583623C2213yescomplemented
32#14583620C2216yescomplemented
33#14583619C2213yescomplemented
34#14583618C2216yescomplemented
35#14583614C2213yescomplemented
36#14583613C2216yescomplemented
37#14583608C2216yescomplemented
38#14583607C2216yescomplemented
39#14583606C2213yescomplemented
40#14583606C2213yescomplemented
41#14583601C2216yescomplemented
42#14583601C2216yescomplemented
43#14583596C2216yescomplemented
44#14583595C2216yescomplemented
45#14583592C22112yescomplemented
46#14583591C2216yescomplemented
47#14583589C2216yescomplemented
48#14583586C22112yescomplemented
49#14583584C2216yescomplemented
50#14583583C2216yescomplemented
51#14583580C22112yescomplemented
52#14583575C22112yescomplemented
53#14583572C22112yescomplemented
54#14583569C2213yescomplemented
55#14583568C2212yescomplemented
56D4×Dic86C2213yescomplemented
57Q8×C22⋊D43C2212yescomplemented
58#14583560C2212yescomplemented
59#14583556C2212yescomplemented
60#14583555C2216yescomplemented
61#14583553C2213yescomplemented
62#14583549C2216yescomplemented
63#14583548C2216yescomplemented
64#14583543C2216yescomplemented
65#14583543C2216yescomplemented
66#14583537C2216yescomplemented
67#14583536C22112yescomplemented
68D4×C22⋊D43C2216yescomplemented
69#14583522C2216yescomplemented
70#14583522C2216yescomplemented
71#14583516C2216yescomplemented
72#14583516C2216yescomplemented
73#14583509C2216yescomplemented
74#14583509C2216yescomplemented
75#14583502C2216yescomplemented
76#14583502C2216yescomplemented
77#14583493C22112yescomplemented
78#14583493C22112yescomplemented
79#14583484C22112yescomplemented
80#14583484C22112yescomplemented
81#14583456C2213yescomplemented
82#14583454C2213yescomplemented
83#14583454C2213yescomplemented
84#14583452C2216yescomplemented
85#14583447C2213yescomplemented
86#14583447C2213yescomplemented
87#14583445C2216yescomplemented
88#14583431C2213yes—
89#14583431C2211yescharacteristic
90#14583431C2213yescomplemented
91#14583431C2213yescomplemented
92#14583431C2216yescomplemented
93#14583431C2213yescomplemented
94#14583431C2216yescomplemented
95#14583431C2213yescomplemented
96#14583431C2213yescomplemented
97#14583431C2216yescomplemented
98#14583431C2213yescomplemented
99#14583431C2216yescomplemented
100#14583431C2216yescomplemented
101#14583430C2216yescomplemented
102#14583430C2216yescomplemented
103#14583429C22112yescomplemented
104#14583429C22112yescomplemented
105#14583428C2216yescomplemented
106#14583428C2216yescomplemented
107C2×#13063318C2216yescomplemented
108C2×#13063316C2213yescomplemented
109C2×#13063312C2213yescomplemented
110#14583410C2216yescomplemented
111#14583409C2216yescomplemented
112#14583409C2216yescomplemented
113#14583406C2216yescomplemented
114C2×#13063307C2216yescomplemented
115C2×#13063305C2213yescomplemented
116C2×#13063296C2213yes—
117#14583382C2216yescomplemented
118#14583382C2212yescomplemented
119#14583382C2216yescomplemented
120#14583382C2212yescomplemented
121#14583377C2212yescomplemented
122#14583377C2212yescomplemented
123#14583374C2216yescomplemented
124#14583374C2216yescomplemented
125#41×Dic43C2211yescharacteristic
126#41×Dic43C2212yes—
127#41×Dic43C2216yescomplemented
128#41×Dic43C2216yescomplemented
129C4×#10621902C2211yescharacteristic, complemented
130C4×#10621902C2211yescharacteristic, complemented
131C4×#10621898C2213yescomplemented
132#14583367C2213yescomplemented
133C4×#10621900C2213yescomplemented
134C4×#10621900C2213yescomplemented
135C4×#10621900C2216yescomplemented
136C4×#10621900C2216yescomplemented
137C2×C4×Dic86C2213yescomplemented
138C4×Q8×D43C2211yescharacteristic, complemented
139C4×Q8×D43C2211yescharacteristic, complemented
140C2×C4×C22⋊D43C2216yescomplemented
141C4×D4×D43C2213yescomplemented
142C4×D4×D43C2213yescomplemented
143C2×#13063284C2216yescomplemented
144C2×#13063284C2216yescomplemented
145#117×D43C2213yescomplemented
146C2×C42×D43C2213yescomplemented
147C22×#41×C43C2212yes—
148C43×#550C2211yescharacteristic, complemented
149D4×Q8×C43C2211yescharacteristic, complemented
150C43×#548C2212yescomplemented
151C43×#547C2213yescomplemented
152C43×#546C2216yescomplemented
153D42×C43C2213yescomplemented
154C43×#532C2213yescomplemented
155C43×#525C2216yescomplemented
156C4×#41×C43C2211yescharacteristic
157C2×C4×D4×C43C2213yescomplemented
158C2×#10621902C2311yescharacteristic
159C2×#10621898C2313yes—
160C2×#10621900C2313yes—
161C2×#10621900C2316yes—
162C2×#10621900C2316yes—
163#41×D43—28no—
164C22×Dic86C2313yes—
165C2×Q8×D43C2311yescharacteristic
166C22×C22⋊D43C2316yes—
167C2×D4×D43C2313yes—
168C22×C4×D43C2313yes—
169C22×C4×D43C2313yes—
170C22×C4×D43C2313yes—
171#13063325C2313yes—
172#13063325C2313yes—
173#13063324C2316yes—
174#13063324C2316yes—
175#13063323C2316yes—
176#13063321C2316yes—
177#13063320C23112yes—
178#13063320C23112yes—
179#13063318C2316yes—
180#13063318C23112yes—
181#13063318C2316yes—
182#13063318C2316yes—
183#13063318C23112yes—
184#13063318C2316yes—
185#13063318C2312yes—
186#13063318C2316yes—
187#13063318C2316yes—
188#13063318C2316yes—
189#13063318C23112yes—
190#13063317C2316yes—
191#13063316C2316yes—
192#13063316C2313yes—
193#13063316C2316yes—
194#13063316C2316yes—
195#13063316C2313yes—
196#13063316C2311yescharacteristic
197#13063316C2313yes—
198#13063316C2316yes—
199#13063316C2316yes—
200#13063315C23112yes—
201#13063315C23112yes—
202#13063314C2316yes—
203#13063312C2313yes—
204#13063312C2316yes—
205#13063312C2316yes—
206#13063312C2313yes—
207#13063312C2311yescharacteristic
208#13063312C2313yes—
209#13063312C2316yes—
210#13063312C2316yes—
211#13063311C23112yes—
212#13063311C23112yes—
213#13063309C23112yes—
214#13063309C23112yes—
215#13063308C23112yes—
216#13063307C2316yes—
217#13063307C2316yes—
218#13063307C2316yes—
219#13063307C2316yes—
220#13063307C2312yes—
221#13063307C2316yes—
222#13063307C2316yes—
223#13063307C2316yes—
224#13063307C23112yes—
225#13063306C23112yes—
226#13063306C23112yes—
227#13063306C23112yes—
228#13063305C2313yes—
229#13063305C2313yes—
230#13063305C2316yes—
231#13063305C2311yescharacteristic
232#13063305C2313yes—
233#13063305C2316yes—
234#13063305C2316yes—
235#13063304C2316yes—
236#13063304C2316yes—
237#13063304C2316yes—
238#13063304C2316yes—
239#13063302C23112yes—
240#13063302C23112yes—
241#13063302C23112yes—
242#13063302C23112yes—
243#13063301C2316yes—
244#13063301C2316yes—
245#13063299C2316yes—
246#13063299C2316yes—
247#13063297C23112yes—
248#13063297C23112yes—
249#13063297C23112yes—
250#13063297C23112yes—
251#13063296C2316yes—
252#13063296C2316yes—
253#13063296C2313yes—
254#13063296C2316yes—
255#13063296C2313yes—
256#13063296C2311yescharacteristic
257#13063296C2313yes—
258#13063296C2316yes—
259#13063296C2316yes—
260#13063294C23112yes—
261#13063293C23112yes—
262Q8×Dic43C2312yes—
263Q8×Dic43C2312yes—
264Q8×Dic43C2316yes—
265Q8×Dic43C2316yes—
266Q8×Dic43C2311yescharacteristic
267Q8×Dic43C2311yescharacteristic
268Q8×Dic43C2316yes—
269Q8×Dic43C2316yes—
270C4×Dic86C2313yes—
271C4×Dic86C2313yes—
272C4×Dic86C2313yes—
273C4×Dic86C2313yes—
274C4×Dic86C2316yes—
275C4×Dic86C2311yescharacteristic
276C4×Dic86C2313yes—
277C4×Dic86C2316yes—
278C4×Dic86C2316yes—
279#13063290C2316yes—
280#13063290C2316yes—
281#13063290C2313yes—
282#13063290C2313yes—
283C4×D172C2313yes—
284C4×D172C2313yes—
285D4×Dic43C23112yes—
286D4×Dic43C2316yes—
287D4×Dic43C2316yes—
288D4×Dic43C2316yes—
289D4×Dic43C23112yes—
290D4×Dic43C2316yes—
291D4×Dic43C2316yes—
292D4×Dic43C2313yes—
293D4×Dic43C2313yes—
294D4×Dic43C2316yes—
295D4×Dic43C23112yes—
296D4×Dic43C23112yes—
297D4×Dic43C2316yes—
298D4×Dic43C2316yes—
299#13063287C2313yes—
300#13063287C2313yes—
301C4×C22⋊D43C2316yes—
302C4×C22⋊D43C2316yes—
303C4×C22⋊D43C2316yes—
304C4×C22⋊D43C2316yes—
305C4×C22⋊D43C2316yes—
306C4×C22⋊D43C2316yes—
307C4×C22⋊D43C2312yes—
308C4×C22⋊D43C2316yes—
309C4×C22⋊D43C2316yes—
310C4×C22⋊D43C2316yes—
311C4×C22⋊D43C23112yes—
312(C22⋊D43)⋊C4C23112yes—
313(C22⋊D43)⋊C4C23112yes—
314(C22⋊D43)⋊C4C2316yes—
315(C22⋊D43)⋊C4C2316yes—
316#13063284C23112yes—
317#13063284C2316yes—
318#13063284C2316yes—
319#13063284C2313yes—
320#13063284C2316yes—
321#13063284C2312yes—
322#13063284C2316yes—
323#13063284C2316yes—
324#13063284C2316yes—
325#13063284C2316yes—
326#13063284C2316yes—
327#13063284C2316yes—
328#13063284C2316yes—
329#13063283C2316yes—
330#13063283C2316yes—
331#13063283C2313yes—
332#13063283C2313yes—
333#13063282C2316yes—
334#13063281C23112yes—
335#13063281C2316yes—
336#13063281C23112yes—
337C2×C4⋊Dic43C2316yes—
338C2×C4⋊Dic43C2316yes—
339C2×C4⋊Dic43C2313yes—
340C2×C4⋊Dic43C2316yes—
341C2×C4⋊Dic43C2316yes—
342C2×Dic43⋊C4C2316yes—
343C2×Dic43⋊C4C2316yes—
344C4⋊C4×D43C2313yes—
345C4⋊C4×D43C2313yes—
346C2×C22⋊Dic43C23112yes—
347C2×C22⋊Dic43C2316yes—
348C2×C22⋊Dic43C2316yes—
349C2×C22⋊Dic43C2316yes—
350C2×(C2×D43)⋊C4C2316yes—
351C22⋊C4×D43C2316yes—
352C2×C4×Dic43C2313yes—
353C2×C4×Dic43C2313yes—
354C2×C4×Dic43C2313yes—
355C2×C4×Dic43C2316yes—
356C2×C4×Dic43C23112yes—
357C42×D43C2311yescharacteristic
358C42×D43C2313yes—
359C42×D43C2313yes—
360C42×D43C2313yes—
361C42×D43C2313yes—
362C42×D43C2313yes—
363C42×D43C2313yes—
364C42×D43C2313yes—
365C2×#41×C43—216no—
366C2×#41×C43C2312yes—
367C2×#41×C43C2316yes—
368C2×#41×C43C2316yes—
369C2×#41×C43C2311yescharacteristic
370C22×Q8×C43C2312yes—
371C22×D4×C43C2316yes—
372C22×D4×C43C2313yes—
373C23×C4×C43C2316yes—
374C4⋊Q8×C43C2313yes—
375#127×C43C2313yes—
376#124×C43C2316yes—
377#123×C43C23112yes—
378C22⋊Q8×C43C2316yes—
379C22⋊Q8×C43C2316yes—
380#121×C43C2316yes—
381#121×C43C2316yes—
382#121×C43C2316yes—
383#121×C43C2316yes—
384#120×C43C23112yes—
385C4×Q8×C43C2311yescharacteristic
386C4×Q8×C43C2311yescharacteristic
387C4×D4×C43C2313yes—
388C4×D4×C43C2313yes—
389C4×D4×C43C2311yescharacteristic
390C4×D4×C43C2316yes—
391C4×D4×C43C2313yes—
392C4×D4×C43C2316yes—
393C4×D4×C43C2313yes—
394C4×D4×C43C2313yes—
395C4×D4×C43C2316yes—
396#117×C43C2313yes—
397C2×C4⋊C4×C43C2313yes—
398C2×C22⋊C4×C43C2316yes—
399C2×C42×C43C2313yes—
400C24×C43C2416yes—
401C23×D43C2413yes—
402#41×C43—28no—
403#41×C43—224no—
404#41×C43—224no—
405#41×C43#4118yescomplemented
406C2×Q8×C43—28no—
407C2×Q8×C43C2416yes—
408C2×Q8×C43C2411yescharacteristic
409C2×D4×C43—224no—
410C2×D4×C43—46no—
411C2×D4×C43C2411yescharacteristic
412C2×D4×C43C2413yes—
413C2×D4×C43C24112yes—
414C2×D4×C43C2416yes—
415C2×D4×C43C2416yes—
416C2×D4×C43C2416yes—
417C2×D4×C43C2413yes—
418C22×C4×C43—224no—
419C22×C4×C43C2413yes—
420C22×C4×C43C2416yes—
421C22×C4×C43C2412yes—
422C22×C4×C43C2416yes—
423C22×C4×C43C2416yes—
424C22×C4×C43C2416yes—
425C22×C4×C43C2413yes—
426C22×C4×C43C2413yes—
427C2×C22⋊D43—412no—
428C2×C22⋊D43C2416yes—
429C2×C22⋊D43C2416yes—
430C2×C22⋊D43C2412yes—
431C2×C22⋊D43C24112yes—
432C2×C22⋊D43C2416yes—
433C2×C22⋊D43C2416yes—
434C22×Dic43C2413yes—
435C22×Dic43C2413yes—
436C22×Dic43C2413yes—
437C22×Dic43C2416yes—
438C22×Dic43C2416yes—
439C22×Dic43C24112yes—
440C22×Dic43C24112yes—
441#10621902—24no—
442Q8×D43—24no—
443#10621900—212no—
444#10621900—412no—
445#10621900—412no—
446D4×D43—212no—
447#10621898—212no—
448C2×D172C2413yes—
449C2×C4×D43—212no—
450C2×C4×D43—46no—
451C2×C4×D43—46no—
452C2×C4×D43C2411yescharacteristic
453C2×C4×D43C2411yescharacteristic
454C2×C4×D43C2411yescharacteristic
455C2×C4×D43C2413yes—
456C2×C4×D43C2413yes—
457C2×C4×D43C2413yes—
458C2×C4×D43C2413yes—
459C2×C4×D43C2413yes—
460C2×C4×D43C2413yes—
461C2×C4×D43C2413yes—
462C2×C4×D43C2413yes—
463C2×C4×D43C2413yes—
464C2×Dic86—46no—
465C2×Dic86C2413yes—
466C2×Dic86C2413yes—
467C2×Dic86C2411yescharacteristic
468C2×Dic86C2416yes—
469C2×Dic86C2416yes—
470C4⋊C4×C43C2411yescharacteristic
471C4⋊C4×C43C2413yes—
472C4⋊C4×C43C2416yes—
473C4⋊C4×C43C2413yes—
474C4⋊C4×C43C2413yes—
475C4⋊C4×C43C2416yes—
476C22⋊C4×C43C2412yes—
477C22⋊C4×C43C2416yes—
478C22⋊C4×C43C2416yes—
479C22⋊C4×C43C2416yes—
480C22⋊C4×C43C2416yes—
481C22⋊C4×C43C24112yes—
482C42×C43C2411yescharacteristic
483C42×C43C2413yes—
484C42×C43C2413yes—
485C42×C43C2413yes—
486C22⋊Dic43C2416yes—
487C22⋊Dic43C2412yes—
488C22⋊Dic43C2416yes—
489C22⋊Dic43C2416yes—
490C22⋊Dic43C2412yes—
491C22⋊Dic43C2412yes—
492C22⋊Dic43C2416yes—
493C22⋊Dic43C24112yes—
494C22⋊Dic43C2416yes—
495C22⋊Dic43C2416yes—
496C22⋊Dic43C2416yes—
497C22⋊Dic43C2416yes—
498C22⋊Dic43C2416yes—
499C22⋊Dic43C2416yes—
500C22⋊Dic43C24112yes—
501(C2×D43)⋊C4C2416yes—
502(C2×D43)⋊C4C2416yes—
503(C2×D43)⋊C4C2412yes—
504(C2×D43)⋊C4C2416yes—
505(C2×D43)⋊C4C2416yes—
506(C2×D43)⋊C4C2416yes—
507(C2×D43)⋊C4C24112yes—
508C4⋊Dic43C2413yes—
509C4⋊Dic43C2413yes—
510C4⋊Dic43C2416yes—
511C4⋊Dic43C2412yes—
512C4⋊Dic43C2416yes—
513C4⋊Dic43C2412yes—
514C4⋊Dic43C2411yescharacteristic
515C4⋊Dic43C2413yes—
516C4⋊Dic43C2416yes—
517C4⋊Dic43C2416yes—
518C4⋊Dic43C2416yes—
519C4⋊Dic43C2416yes—
520C4⋊Dic43C2416yes—
521C4⋊Dic43C2416yes—
522C4⋊Dic43C2416yes—
523C4⋊Dic43C2416yes—
524Dic43⋊C4C2416yes—
525Dic43⋊C4C2416yes—
526Dic43⋊C4C2412yes—
527Dic43⋊C4C2412yes—
528Dic43⋊C4C2416yes—
529Dic43⋊C4C2416yes—
530Dic43⋊C4C2416yes—
531Dic43⋊C4C2416yes—
532Dic43⋊C4C2416yes—
533Dic43⋊C4C2416yes—
534Dic43⋊C4C24112yes—
535Dic43⋊C4C24112yes—
536C4×Dic43C2411yescharacteristic
537C4×Dic43C2411yescharacteristic
538C4×Dic43C2411yescharacteristic
539C4×Dic43C2413yes—
540C4×Dic43C2413yes—
541C4×Dic43C2413yes—
542C4×Dic43C2413yes—
543C4×Dic43C2413yes—
544C4×Dic43C2413yes—
545C4×Dic43C2413yes—
546C4×Dic43C2413yes—
547C4×Dic43C2413yes—
548C4×Dic43C2412yes—
549C4×Dic43C2416yes—
550C4×Dic43C24112yes—
551C4×Dic43C24112yes—
552C4×Dic43C2416yes—
553C4×Dic43C2416yes—
554C23×C43—212no—
555C23×C43—46no—
556C23×C43—46no—
557C23×C43C2512yes—
558C23×C43C2516yes—
559C23×C43C2513yes—
560C22×D43—26no—
561C22×D43—26no—
562C22×D43—43no—
563C22×D43C2513yes—
564C22×D43C2511yescharacteristic
565Q8×C43—212no—
566Q8×C43C2×#4114yes—
567D4×C43—224no—
568D4×C43—212no—
569D4×C43—26no—
570D4×C43—22no—
571D4×C43—46no—
572D4×C43—46no—
573D4×C43C2×#41112yes—
574C2×C4×C43—212no—
575C2×C4×C43—24no—
576C2×C4×C43—212no—
577C2×C4×C43—212no—
578C2×C4×C43—212no—
579C2×C4×C43—26no—
580C2×C4×C43—43no—
581C2×C4×C43C2×#41112yes—
582C2×C4×C43C2511yescharacteristic
583C2×C4×C43C2516yes—
584C2×C4×C43C2513yes—
585C2×C4×C43C2513yes—
586C2×C4×C43C2512yes—
587C2×C4×C43C2513yes—
588C2×C4×C43C2511yescharacteristic
589C2×C4×C43C2511yescharacteristic
590C22⋊D43—212no—
591C22⋊D43—212no—
592C22⋊D43—24no—
593C22⋊D43—412no—
594C22⋊D43—46no—
595C22⋊D43—46no—
596C2×Dic43—26no—
597C2×Dic43—46no—
598C2×Dic43—43no—
599C2×Dic43—43no—
600C2×Dic43—412no—
601C2×Dic43—412no—
602C2×Dic43—46no—
603C2×Dic43C2511yescharacteristic
604C2×Dic43C2513yes—
605C2×Dic43C2513yes—
606C2×Dic43C2511yescharacteristic
607C2×Dic43C2511yescharacteristic
608C2×Dic43C2513yes—
609C2×Dic43C2512yes—
610C2×Dic43C2516yes—
611C2×Dic43C2516yes—
612C2×Dic43C2512yes—
613D172—26no—
614C4×D43—22no—
615C4×D43—26no—
616C4×D43—22no—
617C4×D43—26no—
618C4×D43—26no—
619C4×D43—26no—
620C4×D43—22no—
621C4×D43—26no—
622C4×D43—43no—
623C4×D43—43no—
624C4×D43—43no—
625C4×D43—43no—
626Dic86—26no—
627Dic86—22no—
628Dic86—26no—
629Dic86—46no—
630Dic86—46no—
631#62816—431nomaximal, Sylow
632C22×C43—23no—
633C22×C43—23no—
634C22×C43—22no—
635C22×C43—26no—
636C22×C43—22no—
637C22×C43—22no—
638C22×C43—26no—
639C22×C43—26no—
640C22×C43—812no—
641C22×C43C22×#4116yes—
642C22×C43C2611yescharacteristic
643C2×D43—21no—
644C2×D43—21no—
645C2×D43—23no—
646C2×D43—23no—
647C2×D43—23no—
648C2×D43—412no—
649C2×D43#58512yes—
650C4×C43—22no—
651C4×C43—26no—
652C4×C43—23no—
653C4×C43—23no—
654C4×C43—21no—
655C4×C43C22×#4116yes—
656C4×C43C22×#4112yes—
657C4×C43#58512yes—
658Dic43—23no—
659Dic43—21no—
660Dic43—22no—
661Dic43—26no—
662Dic43—26no—
663Dic43—21no—
664Dic43—21no—
665Dic43—23no—
666Dic43—23no—
667Dic43—22no—
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×#41—431no—
682#3475—436no—
683#3475—433no—
684D4×#41—432no—
685D4×#41D4311yescharacteristic, complemented
686#3455—436no—
687#3444—433no—
688C2×#529—433no—
689#3428—432no—
690C2×C4×#41—431no—
691C2×C43—26no—
692C2×C43—46no—
693C2×C43—42no—
694C2×C43C23×#4111yescharacteristic
695C2×C43C2×#58511yescharacteristic
696C2×C43C2×#58511yescharacteristic
697D43—22no—
698D43—43no—
699C22×#41—431no—
700C22×#41C2×D4312yes—
701#559—433no—
702#559—436no—
703Q82—431no—
704#557—433no—
705#557—432no—
706#557—431no—
707#556—433no—
708#556—436no—
709#556—436no—
710#556—433no—
711#555—436no—
712#555—433no—
713#554—436no—
714#554—433no—
715#554—433no—
716#554—436no—
717#553—4312no—
718#553—436no—
719#553—436no—
720#553—436no—
721#553—436no—
722#552—4312no—
723#552—436no—
724#552—436no—
725#552—436no—
726#552—436no—
727#551—4312no—
728#551—4312no—
729#551—4312no—
730#550—432no—
731#550—433no—
732#550C2×D4311yescharacteristic, complemented
733D4×Q8—432no—
734D4×Q8—433no—
735D4×Q8C2×D4311yescharacteristic, complemented
736#548—432no—
737#548—432no—
738#548—436no—
739#548C2×D4312yescomplemented
740#547—436no—
741#547—436no—
742#547—433no—
743#547C2×D4313yescomplemented
744#546—436no—
745#546—436no—
746#546—436no—
747#546—4312no—
748#546C2×D4316yescomplemented
749D42—436no—
750D42C2×D4313yescomplemented
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#533—436no—
766#533—433no—
767#532—436no—
768#532—433no—
769#532—433no—
770#532C2×D4313yescomplemented
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#525C2×D4316yescomplemented
798C2×#123—436no—
799C2×C22⋊Q8—433no—
800C2×#121—433no—
801#520—436no—
802#520—432no—
803#520—436no—
804#520—432no—
805#519—432no—
806#519—432no—
807#518—436no—
808#518—436no—
809C4×#41—431no—
810C4×#41—432no—
811C4×#41—436no—
812C4×#41—436no—
813C4×#41—431no—
814C4×#41—431no—
815C4×#41—433no—
816C4×#41—433no—
817C4×#41—436no—
818C4×#41—436no—
819C4×#41—433no—
820C4×#41—433no—
821C4×#41C2×D4311yescharacteristic
822C2×C4×Q8—431no—
823C2×C4×Q8—431no—
824C2×C4×Q8—433no—
825C2×C4×D4—436no—
826C2×C4×D4—433no—
827C2×C4×D4—433no—
828C2×C4×D4C2×D4313yescomplemented
829C2×#117—436no—
830C2×#117—436no—
831C2×#117—433no—
832C22×C42—433no—
833C43#6281611yescharacteristic, complemented, Sylow
834C2×#41—216no—
835C2×#41—431no—
836C2×#41—433no—
837C2×#41—436no—
838C2×#41—436no—
839C2×#41—433no—
840C2×#41—868no—
841C2×#41C22×D4316yes—
842C2×#41C22×D4316yes—
843C2×#41C22×D4312yes—
844C2×#41C22×D4311yescharacteristic
845C22×Q8—431no—
846C22×Q8—433no—
847C22×Q8C22×D4312yes—
848C22×D4—436no—
849C22×D4—433no—
850C22×D4C22×D4316yes—
851C22×D4C22×D4313yes—
852C23×C4—433no—
853C23×C4—433no—
854C23×C4—433no—
855C23×C4C22×D4316yes—
856C4⋊Q8—436no—
857C4⋊Q8—436no—
858C4⋊Q8—436no—
859C4⋊Q8—433no—
860C4⋊Q8—433no—
861C4⋊Q8C22×D4313yes—
862#127—436no—
863#127C22×D4313yes—
864#126—4312no—
865#126—4312no—
866#126—432no—
867#126—436no—
868#126—436no—
869#126—436no—
870#126—436no—
871#126—436no—
872#126—436no—
873#126—436no—
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#125—436no—
887#125—436no—
888#125—436no—
889#124—436no—
890#124—431no—
891#124—433no—
892#124—436no—
893#124—433no—
894#124—433no—
895#124—436no—
896#124—436no—
897#124—436no—
898#124—4312no—
899#124—4312no—
900#124C22×D4316yes—
901#123—4312no—
902#123—4312no—
903#123—4312no—
904#123—4312no—
905#123—432no—
906#123—436no—
907#123—436no—
908#123—436no—
909#123—436no—
910#123—436no—
911#123—436no—
912#123—436no—
913#123—4312no—
914#123—4312no—
915#123—4312no—
916#123C22×D43112yes—
917C22⋊Q8—436no—
918C22⋊Q8—436no—
919C22⋊Q8—436no—
920C22⋊Q8—436no—
921C22⋊Q8—436no—
922C22⋊Q8—436no—
923C22⋊Q8—431no—
924C22⋊Q8—433no—
925C22⋊Q8—436no—
926C22⋊Q8—433no—
927C22⋊Q8—433no—
928C22⋊Q8—436no—
929C22⋊Q8—436no—
930C22⋊Q8—4312no—
931C22⋊Q8—4312no—
932C22⋊Q8—4312no—
933C22⋊Q8—4312no—
934C22⋊Q8C22×D4316yes—
935C22⋊Q8C22×D4316yes—
936#121—431no—
937#121—433no—
938#121—436no—
939#121—436no—
940#121—433no—
941#121—433no—
942#121—436no—
943#121—436no—
944#121—436no—
945#121—4312no—
946#121—4312no—
947#121—4312no—
948#121—4312no—
949#121—436no—
950#121—436no—
951#121C22×D4316yes—
952#121C22×D4316yes—
953#121C22×D4316yes—
954#121C22×D4316yes—
955#120—4312no—
956#120—4312no—
957#120C22×D43112yes—
958C4×Q8—431no—
959C4×Q8—431no—
960C4×Q8—436no—
961C4×Q8—436no—
962C4×Q8—432no—
963C4×Q8—432no—
964C4×Q8—436no—
965C4×Q8—436no—
966C4×Q8—433no—
967C4×Q8—433no—
968C4×Q8—436no—
969C4×Q8—436no—
970C4×Q8—431no—
971C4×Q8—433no—
972C4×Q8—433no—
973C4×Q8—433no—
974C4×Q8—436no—
975C4×Q8—433no—
976C4×Q8—433no—
977C4×Q8—436no—
978C4×Q8—436no—
979C4×Q8C22×D4311yescharacteristic
980C4×Q8C22×D4311yescharacteristic
981C4×D4—433no—
982C4×D4—433no—
983C4×D4—4312no—
984C4×D4—4312no—
985C4×D4—436no—
986C4×D4—436no—
987C4×D4—436no—
988C4×D4—436no—
989C4×D4—4312no—
990C4×D4—436no—
991C4×D4—4312no—
992C4×D4—436no—
993C4×D4—436no—
994C4×D4—436no—
995C4×D4—432no—
996C4×D4—436no—
997C4×D4—436no—
998C4×D4—436no—
999C4×D4—436no—
1000C4×D4—436no—
1001C4×D4—436no—
1002C4×D4—436no—
1003C4×D4—436no—
1004C4×D4—436no—
1005C4×D4—4312no—
1006C4×D4—433no—
1007C4×D4—433no—
1008C4×D4—436no—
1009C4×D4—436no—
1010C4×D4—4312no—
1011C4×D4—4312no—
1012C4×D4—433no—
1013C4×D4—433no—
1014C4×D4C22×D4313yes—
1015C4×D4C22×D4313yes—
1016C4×D4C22×D4311yescharacteristic
1017C4×D4C22×D4313yes—
1018C4×D4C22×D4316yes—
1019C4×D4C22×D4313yes—
1020C4×D4C22×D4316yes—
1021C4×D4C22×D4313yes—
1022C4×D4C22×D4316yes—
1023#117—433no—
1024#117—432no—
1025#117—436no—
1026#117—436no—
1027#117—436no—
1028#117—436no—
1029#117—436no—
1030#117—436no—
1031#117—436no—
1032#117—436no—
1033#117—436no—
1034#117—436no—
1035#117—4312no—
1036#117—433no—
1037#117—433no—
1038#117—436no—
1039#117—436no—
1040#117—436no—
1041#117—4312no—
1042#117—4312no—
1043#117—436no—
1044#117C22×D4313yes—
1045C2×C4⋊C4—436no—
1046C2×C4⋊C4—436no—
1047C2×C4⋊C4—436no—
1048C2×C4⋊C4—436no—
1049C2×C4⋊C4—436no—
1050C2×C4⋊C4—433no—
1051C2×C4⋊C4—436no—
1052C2×C4⋊C4—433no—
1053C2×C4⋊C4—433no—
1054C2×C4⋊C4C22×D4313yes—
1055C2×C22⋊C4—436no—
1056C2×C22⋊C4—436no—
1057C2×C22⋊C4—4312no—
1058C2×C22⋊C4—436no—
1059C2×C22⋊C4—436no—
1060C2×C22⋊C4—436no—
1061C2×C22⋊C4C22×D4316yes—
1062C2×C42—433no—
1063C2×C42—436no—
1064C2×C42—4312no—
1065C2×C42—433no—
1066C2×C42—433no—
1067C2×C42—433no—
1068C2×C42—433no—
1069C2×C42—433no—
1070C2×C42—433no—
1071C2×C42—433no—
1072C2×C42—433no—
1073C2×C42—433no—
1074C2×C42—431no—
1075C2×C42C22×D4313yes—
1076C24—433no—
1077C24C23×D4316yes—
1078#41—28no—
1079#41—224no—
1080#41—224no—
1081#41—864no—
1082#41—8612no—
1083#41—8612no—
1084#41—17212no—
1085#41—17212no—
1086#41#1062190018yescomplemented
1087C2×Q8—28no—
1088C2×Q8—431no—
1089C2×Q8—433no—
1090C2×Q8—433no—
1091C2×Q8—436no—
1092C2×Q8—436no—
1093C2×Q8—864no—
1094C2×Q8—1726no—
1095C2×Q8C23×D4316yes—
1096C2×Q8C23×D4311yescharacteristic
1097C2×D4—224no—
1098C2×D4—46no—
1099C2×D4—436no—
1100C2×D4—436no—
1101C2×D4—432no—
1102C2×D4—436no—
1103C2×D4—4312no—
1104C2×D4—436no—
1105C2×D4—433no—
1106C2×D4—8612no—
1107C2×D4—17212no—
1108C2×D4C23×D43112yes—
1109C2×D4C23×D4316yes—
1110C2×D4C23×D4313yes—
1111C2×D4C23×D4311yescharacteristic
1112C2×D4C23×D4316yes—
1113C2×D4C23×D4316yes—
1114C2×D4C23×D4313yes—
1115C22×C4—224no—
1116C22×C4—433no—
1117C22×C4—433no—
1118C22×C4—433no—
1119C22×C4—436no—
1120C22×C4—436no—
1121C22×C4—4312no—
1122C22×C4—4312no—
1123C22×C4—431no—
1124C22×C4—431no—
1125C22×C4—433no—
1126C22×C4—433no—
1127C22×C4—433no—
1128C22×C4—433no—
1129C22×C4—431no—
1130C22×C4—433no—
1131C22×C4—433no—
1132C22×C4—433no—
1133C22×C4—433no—
1134C22×C4—433no—
1135C22×C4—8612no—
1136C22×C4—1726no—
1137C22×C4—1726no—
1138C22×C4C23×D4313yes—
1139C22×C4C23×D4316yes—
1140C22×C4C23×D4316yes—
1141C22×C4C23×D4316yes—
1142C22×C4C23×D4316yes—
1143C22×C4C23×D4312yes—
1144C22×C4C23×D4313yes—
1145C22×C4C23×D4313yes—
1146C4⋊C4—433no—
1147C4⋊C4—433no—
1148C4⋊C4—432no—
1149C4⋊C4—436no—
1150C4⋊C4—436no—
1151C4⋊C4—432no—
1152C4⋊C4—432no—
1153C4⋊C4—431no—
1154C4⋊C4—432no—
1155C4⋊C4—436no—
1156C4⋊C4—436no—
1157C4⋊C4—433no—
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—436no—
1167C4⋊C4—436no—
1168C4⋊C4—436no—
1169C4⋊C4—436no—
1170C4⋊C4—436no—
1171C4⋊C4—4312no—
1172C4⋊C4—4312no—
1173C4⋊C4—436no—
1174C4⋊C4C23×D4313yes—
1175C4⋊C4C23×D4313yes—
1176C4⋊C4C23×D4311yescharacteristic
1177C4⋊C4C23×D4313yes—
1178C4⋊C4C23×D4316yes—
1179C4⋊C4C23×D4316yes—
1180C22⋊C4—436no—
1181C22⋊C4—432no—
1182C22⋊C4—436no—
1183C22⋊C4—436no—
1184C22⋊C4—432no—
1185C22⋊C4—432no—
1186C22⋊C4—4312no—
1187C22⋊C4—436no—
1188C22⋊C4—436no—
1189C22⋊C4—436no—
1190C22⋊C4—436no—
1191C22⋊C4—436no—
1192C22⋊C4—436no—
1193C22⋊C4—436no—
1194C22⋊C4—4312no—
1195C22⋊C4—432no—
1196C22⋊C4—436no—
1197C22⋊C4—436no—
1198C22⋊C4—436no—
1199C22⋊C4—436no—
1200C22⋊C4—436no—
1201C22⋊C4—4312no—
1202C22⋊C4C23×D4316yes—
1203C22⋊C4C23×D4312yes—
1204C22⋊C4C23×D4316yes—
1205C22⋊C4C23×D4316yes—
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—436no—
1221C42—436no—
1222C42—431no—
1223C42—433no—
1224C42—432no—
1225C42—436no—
1226C42C23×D4313yes—
1227C42C23×D4313yes—
1228C42C23×D4311yescharacteristic
1229C42C23×D4313yes—
1230C23—212no—
1231C23—46no—
1232C23—46no—
1233C23—431no—
1234C23—433no—
1235C23—866no—
1236C23—866no—
1237C23—1723no—
1238C23C24×D4312yes—
1239C23C24×D4316yes—
1240C23C24×D4313yes—
1241Q8—212no—
1242Q8—866no—
1243Q8—862no—
1244Q8—866no—
1245Q8—1726no—
1246Q8—1726no—
1247Q8C2×#1062190014yes—
1248D4—224no—
1249D4—212no—
1250D4—22no—
1251D4—26no—
1252D4—46no—
1253D4—46no—
1254D4—864no—
1255D4—8612no—
1256D4—8612no—
1257D4—866no—
1258D4—1726no—
1259D4—1726no—
1260D4—17212no—
1261D4C2×#10621900112yes—
1262C2×C4—212no—
1263C2×C4—24no—
1264C2×C4—212no—
1265C2×C4—212no—
1266C2×C4—212no—
1267C2×C4—26no—
1268C2×C4—43no—
1269C2×C4—431no—
1270C2×C4—431no—
1271C2×C4—433no—
1272C2×C4—431no—
1273C2×C4—433no—
1274C2×C4—432no—
1275C2×C4—433no—
1276C2×C4—436no—
1277C2×C4—436no—
1278C2×C4—432no—
1279C2×C4—862no—
1280C2×C4—866no—
1281C2×C4—866no—
1282C2×C4—862no—
1283C2×C4—866no—
1284C2×C4—866no—
1285C2×C4—866no—
1286C2×C4—862no—
1287C2×C4—866no—
1288C2×C4—1723no—
1289C2×C4—1723no—
1290C2×C4—1723no—
1291C2×C4—1723no—
1292C2×C4—1723no—
1293C2×C4—1723no—
1294C2×C4—1726no—
1295C2×C4—1726no—
1296C2×C4—17212no—
1297C2×C4—17212no—
1298C2×C4C2×#10621900112yes—
1299C2×C4C24×D4311yescharacteristic
1300C2×C4C24×D4316yes—
1301C2×C4C24×D4313yes—
1302C2×C4C24×D4313yes—
1303C2×C4C24×D4312yes—
1304C2×C4C24×D4313yes—
1305C2×C4C24×D4311yescharacteristic
1306C2×C4C24×D4311yescharacteristic
1307C22—23no—
1308C22—23no—
1309C22—22no—
1310C22—26no—
1311C22—26no—
1312C22—22no—
1313C22—26no—
1314C22—22no—
1315C22—812no—
1316C22—432no—
1317C22—861no—
1318C22—861no—
1319C22—863no—
1320C22—863no—
1321C22—863no—
1322C22—17212no—
1323C22C22×#1062190016yes—
1324C22C25×D4311yescharacteristic
1325C4—22no—
1326C4—26no—
1327C4—21no—
1328C4—23no—
1329C4—23no—
1330C4—861no—
1331C4—863no—
1332C4—861no—
1333C4—863no—
1334C4—862no—
1335C4—866no—
1336C4—861no—
1337C4—863no—
1338C4—866no—
1339C4—862no—
1340C4C22×#1062190012yes—
1341C4C22×#1062190016yes—
1342C4#1458373512yes—
1343C2—26no—
1344C2—42no—
1345C2—46no—
1346C2—862no—
1347C2—1723no—
1348C2C23×#1062190011yescharacteristic
1349C2#585×D4311yescharacteristic
1350C2C2×#1458373511yescharacteristic
subgroupG/H
centerC2×C4C24×D43
commutator, socle, cosocleC22×C43C26
FrattiniC22C25×D43
FittingD4×#41×C43C2
hypercenterD4×#41D43
hypocenterC43#62816
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ D4×#41

Complements

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

NH ≅ G/Ntype
1. #19148697C2semidirect
2. #19148686C2semidirect
3. #19148675C2semidirect
4. #19148652C2semidirect
5. #19148635C2semidirect
6. #19148618C2semidirect
7. #19148607C2semidirect
8. #19148596C2semidirect
9. #19148581C2semidirect
10. #19148564C2semidirect
11. #19148547C2semidirect
12. #19148524C2semidirect
13. #19148192C2semidirect
14. #41×Dic86C2semidirect
15. #19148155C2semidirect
16. #19148153C2semidirect
17. #41×C22⋊D43C2semidirect
18. #19147983C2semidirect
19. #19147890C2semidirect
20. C2×#14583431C2semidirect
21. #19147798C2semidirect
22. C4×#41×D43C2semidirect
23. D4×#41×C43C2semidirect
25. #14583635C22semidirect
26. #14583631C22semidirect
27. Q8×Dic86C22semidirect
28. #14583628C22semidirect
29. #14583625C22semidirect
30. #14583624C22semidirect
31. #14583623C22semidirect
32. #14583620C22semidirect
33. #14583619C22semidirect
34. #14583618C22semidirect
35. #14583614C22semidirect
36. #14583613C22semidirect
37. #14583608C22semidirect
38. #14583607C22semidirect
39. #14583606C22semidirect
40. #14583606C22semidirect
41. #14583601C22semidirect
42. #14583601C22semidirect
43. #14583596C22semidirect
44. #14583595C22semidirect
45. #14583592C22semidirect
46. #14583591C22semidirect
47. #14583589C22semidirect
48. #14583586C22semidirect
49. #14583584C22semidirect
50. #14583583C22semidirect
51. #14583580C22semidirect
52. #14583575C22semidirect
53. #14583572C22semidirect
54. #14583569C22semidirect
55. #14583568C22semidirect
56. D4×Dic86C22semidirect
57. Q8×C22⋊D43C22semidirect
58. #14583560C22semidirect
59. #14583556C22semidirect
60. #14583555C22semidirect
61. #14583553C22semidirect
62. #14583549C22semidirect
63. #14583548C22semidirect
64. #14583543C22semidirect
65. #14583543C22semidirect
66. #14583537C22semidirect
67. #14583536C22semidirect
68. D4×C22⋊D43C22semidirect
69. #14583522C22semidirect
70. #14583522C22semidirect
71. #14583516C22semidirect
72. #14583516C22semidirect
73. #14583509C22semidirect
74. #14583509C22semidirect
75. #14583502C22semidirect
76. #14583502C22semidirect
77. #14583493C22semidirect
78. #14583493C22semidirect
79. #14583484C22semidirect
80. #14583484C22semidirect
81. #14583456C22semidirect
82. #14583454C22semidirect
83. #14583454C22semidirect
84. #14583452C22semidirect
85. #14583447C22semidirect
86. #14583447C22semidirect
87. #14583445C22semidirect
90. #14583431C22semidirect
91. #14583431C22semidirect
92. #14583431C22semidirect
93. #14583431C22semidirect
94. #14583431C22semidirect
95. #14583431C22semidirect
96. #14583431C22semidirect
97. #14583431C22semidirect
98. #14583431C22semidirect
99. #14583431C22semidirect
100. #14583431C22semidirect
101. #14583430C22semidirect
102. #14583430C22semidirect
103. #14583429C22semidirect
104. #14583429C22semidirect
105. #14583428C22semidirect
106. #14583428C22semidirect
107. C2×#13063318C22semidirect
108. C2×#13063316C22semidirect
109. C2×#13063312C22semidirect
110. #14583410C22semidirect
111. #14583409C22semidirect
112. #14583409C22semidirect
113. #14583406C22semidirect
114. C2×#13063307C22semidirect
115. C2×#13063305C22semidirect
117. #14583382C22semidirect
118. #14583382C22semidirect
119. #14583382C22semidirect
120. #14583382C22semidirect
121. #14583377C22semidirect
122. #14583377C22semidirect
123. #14583374C22semidirect
124. #14583374C22semidirect
127. #41×Dic43C22semidirect
128. #41×Dic43C22semidirect
129. C4×#10621902C22semidirect
130. C4×#10621902C22semidirect
131. C4×#10621898C22semidirect
132. #14583367C22semidirect
133. C4×#10621900C22semidirect
134. C4×#10621900C22semidirect
135. C4×#10621900C22semidirect
136. C4×#10621900C22semidirect
137. C2×C4×Dic86C22semidirect
138. C4×Q8×D43C22semidirect
139. C4×Q8×D43C22semidirect
140. C2×C4×C22⋊D43C22semidirect
141. C4×D4×D43C22semidirect
142. C4×D4×D43C22semidirect
143. C2×#13063284C22semidirect
144. C2×#13063284C22semidirect
145. #117×D43C22semidirect
146. C2×C42×D43C22semidirect
148. C43×#550C22semidirect
149. D4×Q8×C43C22semidirect
150. C43×#548C22semidirect
151. C43×#547C22semidirect
152. C43×#546C22semidirect
153. D42×C43C22semidirect
154. C43×#532C22semidirect
155. C43×#525C22semidirect
157. C2×C4×D4×C43C22semidirect
405. #41×C43#41semidirect
685. D4×#41D43semidirect
732. #550C2×D43semidirect
735. D4×Q8C2×D43semidirect
739. #548C2×D43semidirect
743. #547C2×D43semidirect
748. #546C2×D43semidirect
750. D42C2×D43semidirect
770. #532C2×D43semidirect
797. #525C2×D43semidirect
828. C2×C4×D4C2×D43semidirect
833. C43#62816semidirect
1086. #41#10621900semidirect

Maximal subgroups

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

subgroupindex
#191486972
#191486862
#191486752
#191486522
#191486352
#191486182
#191486072
#191485962
#191485812
#191485642
#191485472
#191485242
#191481922
#41×Dic862
#191481552
#191481532
#41×C22⋊D432
#191479832
#191478902
C2×#145834312
#191477982
C4×#41×D432
D4×#41×C432
#6281643