Finite Group Databasebeta

← #25103219

Subgroups — #25103219

Order 11008.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583145C211yesmaximal, characteristic
2C2×#14582986C211yesmaximal, characteristic, complemented
3C2×M16×Dic43C211yesmaximal, characteristic, complemented
4#19137123C211yesmaximal, characteristic, complemented
5#19137101C211yesmaximal, characteristic
6#19135474C211yesmaximal, characteristic, complemented
7#19135331C211yesmaximal, characteristic, complemented
8#19135290C211yesmaximal, characteristic, complemented
9#19135283C211yesmaximal, characteristic, complemented
10#19135031C211yesmaximal, characteristic
11#19135026C211yesmaximal, characteristic, complemented
12#107×Dic43C211yesmaximal, characteristic, complemented
13#19134414C211yesmaximal, characteristic, complemented
14#19134409C211yesmaximal, characteristic, complemented
15C43×#1809C211yesmaximal, characteristic, complemented
16C22×#10621873C2211yescharacteristic
17C22×#10621877C2211yescharacteristic
18C2×#13063304C2211yescharacteristic
19C2×#13063299C2211yescharacteristic
20C2×#13063290C2211yescharacteristic
21C2×#13063287C2211yescharacteristic
22C2×(C22⋊D43)⋊C4—21no—
23C22×C4×Dic43C2211yescharacteristic
24#14583145C418yescomplemented
25#14582986—24no—
26C2×#13063259C2211yescharacteristic
27C2×#13063250C2211yescharacteristic
28C2×#13063248C2211yescharacteristic
29C2×#13063248C2211yescharacteristic
30C2×#13063247C2211yescharacteristic
31C2×#13063245C2211yescharacteristic
32C2×#13063245C2211yescharacteristic
33M16×Dic43—24no—
34C2×#13063235C2211yescharacteristic
35C2×#13063235C2211yescharacteristic
36C2×C8×Dic43C2211yescharacteristic
37C2×C8×Dic43C2211yescharacteristic
38#14582804C2211yescharacteristic
39#14582800C2211yescharacteristic
40#14582795C2211yescharacteristic
41#14582795C2211yescharacteristic
42#14582788—21no—
43#14582781—21no—
44#14582776—21no—
45#14582771—21no—
46C4⋊C4×Dic43C2211yescharacteristic
47C4⋊C4×Dic43C2211yescharacteristic
48#14582750—21no—
49C22⋊C4×Dic43—21no—
50#14582746—21no—
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C22×M16×C43C2211yescharacteristic
56C2×#107×C43C2211yescharacteristic
57C2×#106×C43C2211yescharacteristic
58C43×#380C2211yescharacteristic
59C43×#380C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C22×D172C2311yescharacteristic
64C22×C22⋊D43—21no—
65C23×Dic43D411yescharacteristic
66C23×Dic43D411yescharacteristic
67C22×C4×D43—21no—
68C2×#10621873—22no—
69C2×#10621873—22no—
70C2×#10621873C2×C414yescomplemented
71C2×#10621877—22no—
72C2×#10621877—22no—
73C2×#10621877—22no—
74C22×C43⋊C8C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76#13063304—22no—
77#13063304C2×C414yescomplemented
78#13063299—22no—
79#13063299C2×C414yes—
80#13063290—22no—
81#13063290—22no—
82#13063287—22no—
83#13063287—22no—
84(C22⋊D43)⋊C4—44no—
85C2×C4⋊Dic43C2311yescharacteristic
86C2×C4⋊Dic43C2311yescharacteristic
87C2×Dic43⋊C4—21no—
88C2×Dic43⋊C4—21no—
89C2×Dic43⋊C4—21no—
90C2×Dic43⋊C4—21no—
91C2×C22⋊Dic43—21no—
92C2×(C2×D43)⋊C4—21no—
93C2×(C2×D43)⋊C4—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×C4×Dic43—22no—
97C2×C4×Dic43—22no—
98C2×C4×Dic43—21no—
99C2×C4×Dic43—21no—
100C2×C4×Dic43—21no—
101C2×C4×Dic43D411yescharacteristic
102C2×C4×Dic43D411yescharacteristic
103C2×C4×Dic43C2311yescharacteristic
104C2×C4×Dic43C2311yescharacteristic
105#13063259C2×C414yescomplemented
106#13063250C2×C414yescomplemented
107#13063248—22no—
108#13063248—22no—
109#13063247C2×C414yescomplemented
110#13063245—22no—
111#13063245—22no—
112#13063235—22no—
113#13063235—22no—
114C8×Dic43—22no—
115C8×Dic43D414yescomplemented
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C23×C4×C43C2311yescharacteristic
123C2×M16×C43—22no—
124C2×M16×C43—22no—
125C2×M16×C43C2×C414yescomplemented
126C22×C8×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C4⋊C4×C43C2311yescharacteristic
132C2×C22⋊C4×C43—21no—
133C2×C22⋊C4×C43—21no—
134#107×C43—22no—
135#106×C43—22no—
136#95×C43—21no—
137#95×C43—21no—
138C24×C43C2×D411yescharacteristic
139C23×D43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43C22×C412yes—
149C22×C4×C43C2×D411yescharacteristic
150C22×C4×C43#4112yes—
151C22×C4×C43C2411yescharacteristic
152C2×C22⋊D43—24no—
153C2×C22⋊D43—42no—
154C2×C22⋊D43—42no—
155C22×Dic43—22no—
156C22×Dic43—22no—
157C22×Dic43—22no—
158C22×Dic43—22no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—41no—
163C22×Dic43—41no—
164C22×Dic43C2×D411yescharacteristic
165C22×Dic43C2×D411yescharacteristic
166C22×Dic43C2×D411yescharacteristic
167C22×Dic43C2×D411yescharacteristic
168C2×D172—21no—
169C2×D172—21no—
170C2×D172—21no—
171C2×D172—21no—
172C2×D172—21no—
173C2×D172C22×C412yes—
174C2×C4×D43—42no—
175C2×C4×D43—42no—
176C2×C4×D43—42no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86C22×C412yes—
183M16×C43—28no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43C22×C412yes—
187C2×C8×C43C22×C412yes—
188C2×C8×C43C2×D412yes—
189C2×C8×C43#4112yes—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C22⋊C4×C43—42no—
199C22⋊C4×C43—42no—
200C22⋊Dic43—24no—
201(C2×D43)⋊C4—24no—
202(C2×D43)⋊C4—42no—
203(C2×D43)⋊C4—42no—
204(C2×D43)⋊C4—42no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43C22×C412yes—
208C4⋊Dic43C22×C412yes—
209Dic43⋊C4—24no—
210Dic43⋊C4—42no—
211Dic43⋊C4—42no—
212Dic43⋊C4—42no—
213C4×Dic43—21no—
214C4×Dic43—21no—
215C4×Dic43—22no—
216C4×Dic43—22no—
217C4×Dic43—42no—
218C4×Dic43—42no—
219C4×Dic43—42no—
220C4×Dic43C2×D412yes—
221C4×Dic43#4112yes—
222#10621877—28no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8C2×D412yes—
228C2×C43⋊C8#4112yes—
229#10621873—28no—
230C23×C43—21no—
231C23×C43—21no—
232C23×C43—21no—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43C4×D412yes—
237C23×C43C22×D411yescharacteristic
238C22×D43—22no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245C2×C4×C43—21no—
246C2×C4×C43—21no—
247C2×C4×C43—22no—
248C2×C4×C43—22no—
249C2×C4×C43—22no—
250C2×C4×C43—22no—
251C2×C4×C43—41no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43C4×D412yes—
264C2×C4×C43C23×C411yescharacteristic
265C2×C4×C43C22×D411yescharacteristic
266C2×C4×C43C2×#4111yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C2×C4×C43C2×#4111yescharacteristic
270C22⋊D43—48no—
271C2×Dic43—21no—
272C2×Dic43—21no—
273C2×Dic43—22no—
274C2×Dic43—22no—
275C2×Dic43—22no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—44no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—44no—
290C2×Dic43#12112yes—
291C2×Dic43#12112yes—
292C2×Dic43AGL(1,ℤ/8)12yes—
293C2×Dic43#13712yes—
294D172—22no—
295D172—22no—
296D172—41no—
297D172—41no—
298C4×D43—84no—
299Dic86—22no—
300Dic86—22no—
301Dic86—41no—
302Dic86—41no—
303C8×C43—22no—
304C8×C43C4×D414yescomplemented
305C43⋊C8—22no—
306C43⋊C8—22no—
307C4×#468—431nomaximal, Sylow
308C22×C43—22no—
309C22×C43—22no—
310C22×C43—22no—
311C22×C43—41no—
312C22×C43—41no—
313C22×C43—41no—
314C22×C43—41no—
315C22×C43C2×C4×D411yescharacteristic
316C22×C43C2×#12111yescharacteristic
317C22×C43#53211yescharacteristic
318C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
319C22×C43C2×#13711yescharacteristic
320C22×C43#57511yescharacteristic
321C22×C43#57511yescharacteristic
322C2×D43—42no—
323C2×D43—42no—
324C2×D43—42no—
325C2×D43—81no—
326C2×D43—81no—
327C2×D43—81no—
328C2×D43—81no—
329C4×C43—22no—
330C4×C43—81no—
331C4×C43—81no—
332C4×C43—81no—
333C4×C43—81no—
334C4×C43C2×C4×D411yescharacteristic
335C4×C43C4×#4111yescharacteristic
336C4×C43#52511yescharacteristic
337C4×C43#52911yescharacteristic
338Dic43—22no—
339Dic43—42no—
340Dic43—42no—
341Dic43—41no—
342Dic43—41no—
343Dic43—42no—
344Dic43#46814yescomplemented
345C2×#468—431no—
346C2×C4×SD16—431no—
347C2×C4×M16—431no—
348C4×C22⋊Q8—431no—
349C4×#121—431no—
350#1973—431no—
351#1943—431no—
352#1936—431no—
353#1935—431no—
354#1895—431no—
355#1894—431no—
356#1809D4311yescharacteristic, complemented
357C4×#107—431no—
358C4×#103—431no—
359C4×#102—431no—
360C2×C43—42no—
361C2×C43C4×#12111yescharacteristic
362C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
363C2×C43C4×#13711yescharacteristic
364C2×C43C2×#46811yescharacteristic
365C2×C43#305411yescharacteristic
366C2×C43#317111yescharacteristic
367C2×C43#317211yescharacteristic
368D43—82no—
369C22×SD16—431no—
370C22×M16—431no—
371C22×M16C2×D4311yescharacteristic
372C2×C22⋊Q8—431no—
373C2×#121—431no—
374C2×C4×Q8—431no—
375C2×C4×D4—431no—
376C2×C4×D4—861no—
377C22×C42—431no—
378#468—438no—
379C4×SD16—864no—
380C2×#107—431no—
381C2×#107C2×D4311yescharacteristic
382C2×#106C2×D4311yescharacteristic
383C2×#103—431no—
384C2×#103—431no—
385C2×#103—431no—
386C2×#102—431no—
387C2×#102—431no—
388C2×#102—431no—
389C4×M16—864no—
390C2×#97—431no—
391C2×#97—431no—
392C2×C4×C8—431no—
393C2×C4×C8—431no—
394#391—431no—
395#390—431no—
396#389—431no—
397#389—431no—
398#388—861no—
399#387—861no—
400#386—861no—
401#385—861no—
402#380C2×D4311yescharacteristic
403#380C2×D4311yescharacteristic
404C4×C4⋊C4—431no—
405C4×C4⋊C4—431no—
406C4×C4⋊C4—861no—
407C4×C22⋊C4—861no—
408C4×C22⋊C4—861no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#340C2×D4311yescharacteristic
414#340C2×D4311yescharacteristic
415C43C4×#46811yescharacteristic, complemented, Sylow
416C22×Q8—431no—
417C22×D4—431no—
418C22×D4—861no—
419C23×C4—431no—
420C23×C4—431no—
421C23×C4—861no—
422C23×C4C22×D4311yescharacteristic
423C2×SD16—434no—
424C2×SD16—862no—
425C2×SD16—862no—
426C2×M16—22no—
427C2×M16—22no—
428C2×M16—862no—
429C2×M16—862no—
430C2×M16—862no—
431C2×M16C4×D4314yescomplemented
432C22×C8—431no—
433C22×C8—431no—
434C22×C8C22×D4311yescharacteristic
435C22×C8C22×D4311yescharacteristic
436C22⋊Q8—434no—
437C22⋊Q8—862no—
438#121—434no—
439#121—862no—
440C4×Q8—862no—
441C4×Q8—862no—
442C4×D4—862no—
443C4×D4—862no—
444C4×D4—1724no—
445C2×C4⋊C4—431no—
446C2×C4⋊C4—431no—
447C2×C4⋊C4—861no—
448C2×C4⋊C4—861no—
449C2×C4⋊C4—861no—
450C2×C4⋊C4—861no—
451C2×C4⋊C4C22×D4311yescharacteristic
452C2×C4⋊C4C22×D4311yescharacteristic
453C2×C4⋊C4C22×D4311yescharacteristic
454C2×C4⋊C4C22×D4311yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—861no—
458C2×C22⋊C4—861no—
459C2×C22⋊C4—861no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C42—431no—
463C2×C42—431no—
464C2×C42—431no—
465C2×C42—431no—
466C2×C42—862no—
467C2×C42—862no—
468C2×C42—861no—
469C2×C42—861no—
470C2×C42—861no—
471#107—22no—
472#107—434no—
473#106—22no—
474#103—434no—
475#103—862no—
476#103—862no—
477#102—434no—
478#102—862no—
479#102—862no—
480#97—862no—
481#97—862no—
482C4×C8—434no—
483C4×C8—862no—
484#95—21no—
485#95—21no—
486#95—861no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492C24—861no—
493C24D4×D4311yescharacteristic
494C2×Q8—432no—
495C2×Q8—861no—
496C2×Q8—861no—
497C2×Q8—861no—
498C2×Q8—861no—
499C2×Q8—861no—
500C2×D4—432no—
501C2×D4—864no—
502C2×D4—861no—
503C2×D4—861no—
504C2×D4—861no—
505C2×D4—861no—
506C2×D4—861no—
507C2×D4—1722no—
508C2×D4—1722no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—431no—
518C22×C4—431no—
519C22×C4—431no—
520C22×C4—431no—
521C22×C4—862no—
522C22×C4—862no—
523C22×C4—862no—
524C22×C4—862no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—1722no—
529C22×C4—1722no—
530C22×C4—1722no—
531C22×C4—1721no—
532C22×C4—1721no—
533C22×C4C2×C4×D4312yes—
534C22×C4D4×D4311yescharacteristic
535C22×C4#1062190212yes—
536C22×C4C23×D4311yescharacteristic
537SD16—868no—
538M16—28no—
539M16—868no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—432no—
543C2×C8—432no—
544C2×C8—861no—
545C2×C8—861no—
546C2×C8—861no—
547C2×C8—861no—
548C2×C8C2×C4×D4312yes—
549C2×C8C2×C4×D4312yes—
550C2×C8D4×D4312yes—
551C2×C8#1062190012yes—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—432no—
561C4⋊C4—432no—
562C4⋊C4—864no—
563C4⋊C4—861no—
564C4⋊C4—861no—
565C4⋊C4—1722no—
566C4⋊C4—1722no—
567C4⋊C4—1722no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—864no—
571C22⋊C4—864no—
572C22⋊C4—1722no—
573C22⋊C4—1722no—
574C22⋊C4—1722no—
575C42—432no—
576C42—432no—
577C42—862no—
578C42—862no—
579C42—861no—
580C42—861no—
581C42—1722no—
582C42—1722no—
583C42—1722no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—862no—
591C23—1721no—
592C23—1721no—
593C23—1721no—
594C23—1721no—
595C23—1721no—
596C23—1721no—
597C23#1306328712yes—
598C23C2×D4×D4311yescharacteristic
599Q8—862no—
600Q8—862no—
601Q8—1721no—
602Q8—1721no—
603D4—862no—
604D4—862no—
605D4—1728no—
606D4—1721no—
607D4—1721no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—432no—
627C2×C4—432no—
628C2×C4—432no—
629C2×C4—432no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—862no—
633C2×C4—862no—
634C2×C4—862no—
635C2×C4—861no—
636C2×C4—861no—
637C2×C4—861no—
638C2×C4—861no—
639C2×C4—861no—
640C2×C4—861no—
641C2×C4—3444no—
642C2×C4—1724no—
643C2×C4—1724no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4#1306328712yes—
651C2×C4C22×C4×D4311yescharacteristic
652C2×C4C2×D4×D4311yescharacteristic
653C2×C4#41×D4311yescharacteristic
654C2×C4#41×D4311yescharacteristic
655C2×C4C2×#1062190011yescharacteristic
656C2×C4C2×#1062190211yescharacteristic
657C8—22no—
658C8—862no—
659C8—862no—
660C8(C22⋊D43)⋊C414yescomplemented
661C22—22no—
662C22—22no—
663C22—22no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—3441no—
669C22—3441no—
670C22—3441no—
671C22—3441no—
672C22—1722no—
673C22—1722no—
674C22—1722no—
675C22C2×#1306328711yescharacteristic
676C22#121×D4311yescharacteristic
677C22#1458344411yescharacteristic
678C22AGL(1,ℤ/8)×D4311yescharacteristic
679C22#137×D4311yescharacteristic
680C22#1458369511yescharacteristic
681C22#1458369811yescharacteristic
682C4—22no—
683C4—81no—
684C4—81no—
685C4—81no—
686C4—81no—
687C4—434no—
688C4—862no—
689C4—1721no—
690C4—1722no—
691C4—1722no—
692C4—1722no—
693C4—1721no—
694C4C2×(C22⋊D43)⋊C411yescharacteristic
695C4#1458336711yescharacteristic
696C4#1458341211yescharacteristic
697C4#1458343511yescharacteristic
698C2—42no—
699C2—3442no—
700C2#1913710111yescharacteristic
701C2#1914340211yescharacteristic
702C2#1914341311yescharacteristic
703C2#468×D4311yescharacteristic
704C2#1914419911yescharacteristic
705C2#1914518511yescharacteristic
706C2#1914519611yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1809C2
socleC23×C43C22×D4
prime radicalC2×#13063299C22
cosocleC22×C4×C43C24
hypercenter#1809D43
hypocenterC43C4×#468
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1809

Complements

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

NH ≅ G/Ntype
2. C2×#14582986C2semidirect
3. C2×M16×Dic43C2semidirect
4. #19137123C2semidirect
6. #19135474C2semidirect
7. #19135331C2semidirect
8. #19135290C2semidirect
9. #19135283C2semidirect
11. #19135026C2semidirect
12. #107×Dic43C2semidirect
13. #19134414C2semidirect
14. #19134409C2semidirect
15. C43×#1809C2semidirect
24. #14583145C4semidirect
70. C2×#10621873C2×C4semidirect
77. #13063304C2×C4semidirect
105. #13063259C2×C4semidirect
106. #13063250C2×C4semidirect
109. #13063247C2×C4semidirect
115. C8×Dic43D4semidirect
125. C2×M16×C43C2×C4semidirect
304. C8×C43C4×D4semidirect
344. Dic43#468semidirect
356. #1809D43semidirect
415. C43C4×#468semidirect
431. C2×M16C4×D43semidirect
660. C8(C22⋊D43)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#145831452
C2×#145829862
C2×M16×Dic432
#191371232
#191371012
#191354742
#191353312
#191352902
#191352832
#191350312
#191350262
#107×Dic432
#191344142
#191344092
C43×#18092
C4×#46843