Finite Group Databasebeta

← #25119189

Subgroups — #25119189

Order 11008.

1066 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583127C211yesmaximal, characteristic
2C2×C4×#10621883C211yesmaximal, characteristic, complemented
3C2×#106×D43C211yesmaximal, characteristic, complemented
4#19137607C211yesmaximal, characteristic
5#19137599C211yesmaximal, characteristic, complemented
6#19135450C211yesmaximal, characteristic, complemented
7#19135320C211yesmaximal, characteristic, complemented
8#19135228C211yesmaximal, characteristic, complemented
9#19135224C211yesmaximal, characteristic, complemented
10#19134909C211yesmaximal, characteristic
11#19134901C211yesmaximal, characteristic, complemented
12#19134866C211yesmaximal, characteristic, complemented
13#19134483C211yesmaximal, characteristic, complemented
14#19134365C211yesmaximal, characteristic, complemented
15C43×#1864C211yesmaximal, characteristic, complemented
16C22×#10621883C2211yescharacteristic
17C22×C8×D43C2211yescharacteristic
18C2×#13063305C2211yescharacteristic
19C2×#13063296C2211yescharacteristic
20C2×C4×Dic86C2211yescharacteristic
21C2×C4×C22⋊D43—21no—
22C2×C4⋊C4×D43C2211yescharacteristic
23C2×C4⋊C4×D43C2211yescharacteristic
24#14583127C418yescomplemented
25C4×#10621883—24no—
26C2×#13063257C2211yescharacteristic
27C2×#13063256C2211yescharacteristic
28C2×#13063256C2211yescharacteristic
29C2×#13063256C2211yescharacteristic
30#106×D43—24no—
31C2×#13063250C2211yescharacteristic
32C2×#13063250C2211yescharacteristic
33C2×#13063248C2211yescharacteristic
34C2×#13063246C2211yescharacteristic
35C2×(C2×D43)⋊C8C2211yescharacteristic
36C2×C4×C43⋊C8C2211yescharacteristic
37C2×C8×Dic43C2211yescharacteristic
38#14582804C2211yescharacteristic
39#14582802C2211yescharacteristic
40#14582797C2211yescharacteristic
41#14582795—21no—
42#14582793—21no—
43#14582782—21no—
44#14582775—21no—
45#14582772—21no—
46#14582770—21no—
47C4⋊C4×Dic43C2211yescharacteristic
48C4⋊C4×Dic43C2211yescharacteristic
49C4×(C2×D43)⋊C4C2211yescharacteristic
50#14582746—21no—
51#14582662C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×C4×D4×C43C2211yescharacteristic
56C2×#106×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C43×#389C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#336C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C22×C22⋊D43—21no—
64C22×C4×D43—21no—
65C22×C4×D43—21no—
66C22×C4×D43C2311yescharacteristic
67C2×#10621883—22no—
68C2×#10621883—22no—
69C2×#10621883C2×C414yescomplemented
70C22×C43⋊C8C2311yescharacteristic
71C22×C43⋊C8C2311yescharacteristic
72C2×C8×D43—22no—
73C2×C8×D43—22no—
74C2×C8×D43C2×C414yescomplemented
75#13063305—22no—
76#13063305C2×C414yescomplemented
77#13063296—22no—
78#13063296C2×C414yes—
79C4×Dic86—22no—
80C4×Dic86—41no—
81C4×C22⋊D43—44no—
82C2×C4⋊Dic43—21no—
83C2×C4⋊Dic43C2311yescharacteristic
84C2×C4⋊Dic43C2311yescharacteristic
85C2×C4⋊Dic43C2311yescharacteristic
86C2×Dic43⋊C4—21no—
87C2×Dic43⋊C4—21no—
88C2×Dic43⋊C4—21no—
89C2×Dic43⋊C4—21no—
90C4⋊C4×D43—22no—
91C4⋊C4×D43—22no—
92C4⋊C4×D43—41no—
93C4⋊C4×D43—41no—
94C2×C22⋊Dic43—21no—
95C2×C22⋊Dic43—21no—
96C2×C22⋊Dic43—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4D411yescharacteristic
99C2×(C2×D43)⋊C4D411yescharacteristic
100C2×C4×Dic43—21no—
101C2×C4×Dic43—21no—
102C2×C4×Dic43—21no—
103C2×C4×Dic43C2311yescharacteristic
104#13063257—22no—
105#13063256—22no—
106#13063256C2×C414yescomplemented
107#13063256D414yescomplemented
108#13063250—41no—
109#13063250C2×C414yescomplemented
110#13063248—22no—
111#13063246—22no—
112(C2×D43)⋊C8—22no—
113C4×C43⋊C8—22no—
114C8×Dic43—22no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95D411yescharacteristic
121C43⋊#95D411yescharacteristic
122C22×D4×C43C2311yescharacteristic
123C23×C4×C43—21no—
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C4×D4×C43—22no—
127C4×D4×C43—41no—
128C2×C4⋊C4×C43—21no—
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C4⋊C4×C43C2311yescharacteristic
132C2×C22⋊C4×C43—21no—
133C2×C42×C43C2311yescharacteristic
134#106×C43—22no—
135#102×C43—41no—
136#102×C43C2×C414yescomplemented
137#95×C43—21no—
138C24×C43—21no—
139C23×D43C2×D411yescharacteristic
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43C22×C412yes—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—42no—
150C22×C4×C43—42no—
151C22×C4×C43—81no—
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2411yescharacteristic
155C2×C22⋊D43—24no—
156C2×C22⋊D43—42no—
157C2×C22⋊D43—42no—
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43C2×D411yescharacteristic
163C22×Dic43C2×D411yescharacteristic
164C22×Dic43C2×D411yescharacteristic
165C2×C4×D43—21no—
166C2×C4×D43—21no—
167C2×C4×D43—21no—
168C2×C4×D43—21no—
169C2×C4×D43—42no—
170C2×C4×D43—42no—
171C2×C4×D43—42no—
172C2×C4×D43—42no—
173C2×C4×D43—81no—
174C2×C4×D43—81no—
175C2×C4×D43C22×C412yes—
176C2×C4×D43#4112yes—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86C22×C412yes—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43C22×C412yes—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—81no—
194C4⋊C4×C43C22×C412yes—
195C4⋊C4×C43C2×D412yes—
196C22⋊C4×C43—42no—
197C42×C43—21no—
198C42×C43—21no—
199C22⋊Dic43—24no—
200C22⋊Dic43—42no—
201C22⋊Dic43—81no—
202#10621883—28no—
203(C2×D43)⋊C4—24no—
204(C2×D43)⋊C4—22no—
205(C2×D43)⋊C4SD1614yescomplemented
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—24no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43C22×C412yes—
212C4⋊Dic43C2×D412yes—
213Dic43⋊C4—42no—
214Dic43⋊C4—42no—
215Dic43⋊C4—42no—
216Dic43⋊C4—42no—
217C4×Dic43—21no—
218C4×Dic43—21no—
219C4×Dic43—42no—
220C4×Dic43—42no—
221C4×Dic43—81no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8C22×C412yes—
226C2×C43⋊C8C2×D412yes—
227C2×C43⋊C8#4112yes—
228C8×D43—28no—
229C23×C43—22no—
230C23×C43—41no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43C22×D411yescharacteristic
237C22×D43—21no—
238C22×D43—21no—
239C22×D43—21no—
240C22×D43—21no—
241C22×D43C4×D412yes—
242C22×D43C2×SD1612yes—
243C22×D43#13512yes—
244D4×C43—22no—
245D4×C43—22no—
246D4×C43—41no—
247D4×C43—41no—
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—22no—
251C2×C4×C43—21no—
252C2×C4×C43—22no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
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—84no—
263C2×C4×C43C2×SD1612yes—
264C2×C4×C43C23×C411yescharacteristic
265C2×C4×C43C22×D411yescharacteristic
266C2×C4×C43C2×#4111yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43H(5,𝔽2)11yescharacteristic
269C2×C4×C432−1+411yescharacteristic
270C22⋊D43—48no—
271C2×Dic43—21no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—22no—
276C2×Dic43—22no—
277C2×Dic43—22no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43C4×D412yes—
291C2×Dic43C2×SD1612yes—
292C4×D43—22no—
293C4×D43—22no—
294C4×D43—22no—
295C4×D43—22no—
296C4×D43—84no—
297C4×D43—84no—
298Dic86—22no—
299Dic86—22no—
300Dic86—41no—
301Dic86—41no—
302C8×C43—22no—
303C8×C43—41no—
304C43⋊C8—41no—
305C43⋊C8C4×D414yescomplemented
306#23022—431nomaximal, Sylow
307C22×C43—42no—
308C22×C43—42no—
309C22×C43—42no—
310C22×C43—81no—
311C22×C43—81no—
312C22×C43—81no—
313C22×C43—81no—
314C22×C43C2×C4×D411yescharacteristic
315C22×C43D4211yescharacteristic
316C22×C43#54711yescharacteristic
317C22×C43C22×SD1611yescharacteristic
318C22×C43C2×#13511yescharacteristic
319C22×C43#57711yescharacteristic
320C22×C43#57711yescharacteristic
321C2×D43—22no—
322C2×D43—22no—
323C2×D43—22no—
324C2×D43—22no—
325C2×D43—22no—
326C2×D43—22no—
327C2×D43C4×SD1614yescomplemented
328C4×C43—22no—
329C4×C43—42no—
330C4×C43—42no—
331C4×C43—41no—
332C4×C43—81no—
333C4×C43C2×C4×D411yescharacteristic
334C4×C43#52011yescharacteristic
335C4×C43#54811yescharacteristic
336C4×C43#55311yescharacteristic
337Dic43—22no—
338Dic43—22no—
339Dic43—41no—
340Dic43—42no—
341Dic43—42no—
342Dic43—42no—
343Dic43—81no—
344C2×#465—431no—
345C2×C4×SD16—431no—
346C22×#106—431no—
347#2361—431no—
348#2360—431no—
349#1968—431no—
350#1941—431no—
351#1927—431no—
352#1926—431no—
353#1874—431no—
354#1872—431no—
355#1865—431no—
356#1864D4311yescharacteristic, complemented
357C4×#106—431no—
358C8×C22⋊C4—431no—
359C2×C43—82no—
360C2×C43#236111yescharacteristic
361C2×C43C2×C4×SD1611yescharacteristic
362C2×C43#295211yescharacteristic
363C2×C43D4×SD1611yescharacteristic
364C2×C43#328211yescharacteristic
365C2×C43#333511yescharacteristic
366C2×C43#333711yescharacteristic
367D43—24no—
368C22×SD16—431no—
369C23×C8—431no—
370C2×C22⋊Q8—431no—
371C2×#121—431no—
372C2×C4×Q8—431no—
373C2×C4×D4—861no—
374C2×C4×D4C2×D4311yescharacteristic
375C22×C4⋊C4—431no—
376C22×C4⋊C4—431no—
377#465—438no—
378C4×SD16—864no—
379C2×#106—431no—
380C2×#106—431no—
381C2×#106—431no—
382C2×#106—431no—
383C2×#106—864no—
384C2×#106C2×D4311yescharacteristic
385C2×#103—431no—
386C2×#103—431no—
387C2×#103—431no—
388C2×#102—431no—
389C2×#102C2×D4311yescharacteristic
390C2×#102C2×D4311yescharacteristic
391C2×C22⋊C8—431no—
392C2×C4×C8—431no—
393C2×C4×C8—431no—
394#391—431no—
395#390—431no—
396#389—431no—
397#389—861no—
398#389C2×D4311yescharacteristic
399#388—861no—
400#387—861no—
401#386—861no—
402#385—861no—
403#385—861no—
404C4×C4⋊C4—431no—
405C4×C4⋊C4—431no—
406C4×C22⋊C4—431no—
407C4×C22⋊C4—861no—
408#340—431no—
409#340—431no—
410#340—431no—
411#340C2×D4311yescharacteristic
412#336—431no—
413#336C2×D4311yescharacteristic
414C43#2302211yescharacteristic, complemented, Sylow
415C22×Q8—431no—
416C22×D4—861no—
417C22×D4C22×D4311yescharacteristic
418C23×C4—21no—
419C23×C4—431no—
420C23×C4—861no—
421C23×C4—861no—
422C2×SD16—434no—
423C2×SD16—862no—
424C2×SD16—862no—
425C22×C8—431no—
426C22×C8—434no—
427C22×C8—431no—
428C22×C8—862no—
429C22×C8—862no—
430C22×C8C22×D4311yescharacteristic
431C22×C8C22×D4311yescharacteristic
432C22⋊Q8—434no—
433C22⋊Q8—862no—
434#121—434no—
435#121—862no—
436C4×Q8—862no—
437C4×Q8—1721no—
438C4×D4—22no—
439C4×D4—41no—
440C4×D4—1724no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—431no—
443C2×C4⋊C4—431no—
444C2×C4⋊C4—431no—
445C2×C4⋊C4—862no—
446C2×C4⋊C4—861no—
447C2×C4⋊C4—862no—
448C2×C4⋊C4—861no—
449C2×C4⋊C4—861no—
450C2×C4⋊C4—861no—
451C2×C4⋊C4—861no—
452C2×C4⋊C4—1721no—
453C2×C4⋊C4—1721no—
454C2×C4⋊C4C22×D4311yescharacteristic
455C2×C4⋊C4C22×D4311yescharacteristic
456C2×C4⋊C4C22×D4311yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—431no—
459C2×C22⋊C4—431no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C42—431no—
465C2×C42—861no—
466C2×C42—861no—
467C2×C42—861no—
468C2×C42C22×D4311yescharacteristic
469#106—22no—
470#106—434no—
471#106—434no—
472#106—862no—
473#106—862no—
474#103—434no—
475#103—862no—
476#103—1721no—
477#102—41no—
478#102—862no—
479#102C4×D4314yescomplemented
480C22⋊C8—862no—
481C4×C8—862no—
482C4×C8—862no—
483#95—21no—
484#95—431no—
485#95—431no—
486#95—861no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491C24—21no—
492C24—431no—
493C2×Q8—432no—
494C2×Q8—861no—
495C2×Q8—861no—
496C2×Q8—861no—
497C2×Q8—861no—
498C2×Q8—861no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—864no—
505C2×D4—1722no—
506C2×D4—1722no—
507C2×D4C2×C4×D4312yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—81no—
514C22×C4—431no—
515C22×C4—431no—
516C22×C4—432no—
517C22×C4—432no—
518C22×C4—431no—
519C22×C4—861no—
520C22×C4—861no—
521C22×C4—861no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—3441no—
528C22×C4—3441no—
529C22×C4—1722no—
530C22×C4—1722no—
531C22×C4—1722no—
532C22×C4—1722no—
533C22×C4D4×D4311yescharacteristic
534C22×C4D4×D4311yescharacteristic
535C22×C4C23×D4311yescharacteristic
536SD16—868no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—432no—
543C2×C8—432no—
544C2×C8—432no—
545C2×C8—868no—
546C2×C8—861no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8C2×C4×D4312yes—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—81no—
555C4⋊C4—432no—
556C4⋊C4—432no—
557C4⋊C4—864no—
558C4⋊C4—861no—
559C4⋊C4—861no—
560C4⋊C4—861no—
561C4⋊C4—861no—
562C4⋊C4—1722no—
563C4⋊C4—1722no—
564C4⋊C4—1722no—
565C4⋊C4—1722no—
566C4⋊C4C2×C4×D4312yes—
567C4⋊C4D4×D4312yes—
568C22⋊C4—42no—
569C22⋊C4—434no—
570C22⋊C4—862no—
571C22⋊C4—864no—
572C22⋊C4—864no—
573C22⋊C4—3441no—
574C22⋊C4—1722no—
575C42—21no—
576C42—21no—
577C42—861no—
578C42—861no—
579C42—3441no—
580C42—1722no—
581C42—1722no—
582C23—22no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—432no—
590C23—432no—
591C23—432no—
592C23—861no—
593C23—861no—
594C23—861no—
595C23—861no—
596C23C2×D4×D4311yescharacteristic
597Q8—862no—
598Q8—862no—
599Q8—1721no—
600Q8—1721no—
601D4—22no—
602D4—22no—
603D4—41no—
604D4—41no—
605D4—1728no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—84no—
621C2×C4—432no—
622C2×C4—432no—
623C2×C4—861no—
624C2×C4—861no—
625C2×C4—861no—
626C2×C4—861no—
627C2×C4—862no—
628C2×C4—862no—
629C2×C4—862no—
630C2×C4—862no—
631C2×C4—862no—
632C2×C4—862no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—862no—
636C2×C4—861no—
637C2×C4—3444no—
638C2×C4—3444no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4SD16×D4312yes—
649C2×C4C22×C4×D4311yescharacteristic
650C2×C4C2×D4×D4311yescharacteristic
651C2×C4#41×D4311yescharacteristic
652C2×C4#41×D4311yescharacteristic
653C2×C4#1306337011yescharacteristic
654C2×C4#1306337311yescharacteristic
655C8—22no—
656C8—41no—
657C8—434no—
658C8—1721no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—434no—
667C22—862no—
668C22—862no—
669C22—862no—
670C22—862no—
671C22—862no—
672C22—862no—
673C22C4×D4×D4311yescharacteristic
674C22#1458353111yescharacteristic
675C22#1458355111yescharacteristic
676C22C2×SD16×D4311yescharacteristic
677C22#135×D4311yescharacteristic
678C22#1458370911yescharacteristic
679C22#1458370911yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—41no—
684C4—81no—
685C4—862no—
686C4—862no—
687C4—3441no—
688C4—1722no—
689C4—1722no—
690C4—1722no—
691C4—1721no—
692C4C4×D4×D4311yescharacteristic
693C4#1458338011yescharacteristic
694C4#1458355911yescharacteristic
695C4#1458359411yescharacteristic
696C2—82no—
697C2—864no—
698C2#1913761411yescharacteristic
699C2C4×SD16×D4311yescharacteristic
700C2#1914347711yescharacteristic
701C2#1914628911yescharacteristic
702C2#1914630511yescharacteristic
703C2#1914694911yescharacteristic
704C2#1914698111yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1864C2
socleC23×C43C22×D4
prime radicalC2×#13063296C22
cosocleC22×C4×C43C24
hypercenter#1864D43
hypocenterC43#23022
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1864

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621883C2semidirect
3. C2×#106×D43C2semidirect
5. #19137599C2semidirect
6. #19135450C2semidirect
7. #19135320C2semidirect
8. #19135228C2semidirect
9. #19135224C2semidirect
11. #19134901C2semidirect
12. #19134866C2semidirect
13. #19134483C2semidirect
14. #19134365C2semidirect
15. C43×#1864C2semidirect
24. #14583127C4semidirect
69. C2×#10621883C2×C4semidirect
74. C2×C8×D43C2×C4semidirect
76. #13063305C2×C4semidirect
106. #13063256C2×C4semidirect
107. #13063256D4semidirect
109. #13063250C2×C4semidirect
136. #102×C43C2×C4semidirect
205. (C2×D43)⋊C4SD16semidirect
305. C43⋊C8C4×D4semidirect
327. C2×D43C4×SD16semidirect
356. #1864D43semidirect
414. C43#23022semidirect
479. #102C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145831272
C2×C4×#106218832
C2×#106×D432
#191376072
#191375992
#191354502
#191353202
#191352282
#191352242
#191349092
#191349012
#191348662
#191344832
#191343652
C43×#18642
#2302243