Finite Group Databasebeta

← #25116923

Subgroups — #25116923

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×#14583053C211yesmaximal, characteristic
2C2×#103×D43C211yesmaximal, characteristic
3#19137596C211yesmaximal, characteristic
4Q8×(C2×D43)⋊C4C211yesmaximal, characteristic
5#19135463C211yesmaximal, characteristic, complemented
6#19135285C211yesmaximal, characteristic, complemented
7#19135228C211yesmaximal, characteristic, complemented
8#19135015C211yesmaximal, characteristic
9#19134938C211yesmaximal, characteristic, complemented
10#19134936C211yesmaximal, characteristic, complemented
11#19134863C211yesmaximal, characteristic, complemented
12#19134786C211yesmaximal, characteristic
13#19134427C211yesmaximal, characteristic, complemented
14#19134372C211yesmaximal, characteristic
15C2×C43×#441C211yesmaximal, characteristic, complemented
16C22×Q8×D43C2211yescharacteristic
17C22×#10621885C2211yescharacteristic
18C22×C8×D43C2211yescharacteristic
19C2×#13063301C2211yescharacteristic
20C2×Q8×Dic43C2211yescharacteristic
21C2×C4⋊C4×D43C2211yescharacteristic
22#14583053C418yescomplemented
23C2×#13063256C2211yescharacteristic
24C2×#13063250C2211yescharacteristic
25C2×#13063250C2211yescharacteristic
26C2×#13063249C2211yescharacteristic
27C2×#13063249C2211yescharacteristic
28C2×#13063249C2211yescharacteristic
29C2×#13063248C2211yescharacteristic
30#103×D43—24no—
31C2×(C2×D43)⋊C8C2211yescharacteristic
32C2×#13063235C2211yescharacteristic
33#14582806C2211yescharacteristic
34#14582805—21no—
35#14582805C2211yescharacteristic
36#14582804—21no—
37#14582804C2211yescharacteristic
38#14582797C2211yescharacteristic
39#14582794—21no—
40#14582783—21no—
41#14582770—21no—
42#14582756—21no—
43#14582756C2211yescharacteristic
44C4⋊C4×Dic43C2211yescharacteristic
45C4×(C2×D43)⋊C4—21no—
46C4×(C2×D43)⋊C4—21no—
47C4×(C2×D43)⋊C4C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582654C2211yescharacteristic
53#14582653C2211yescharacteristic
54C22×Q16×C43C2211yescharacteristic
55C2×C4×Q8×C43C2211yescharacteristic
56C2×C4×Q8×C43C2211yescharacteristic
57C43×#441—24no—
58C2×#106×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×#103×C43C2211yescharacteristic
61C2×#97×C43C2211yescharacteristic
62C22×Dic86—21no—
63C22×Dic86C2311yescharacteristic
64C2×Q8×D43—22no—
65C2×Q8×D43—22no—
66C2×Q8×D43—22no—
67C2×Q8×D43—41no—
68C2×Q8×D43—41no—
69C2×Q8×D43C2×C414yes—
70C22×C4×D43—21no—
71C22×C4×D43—21no—
72C22×C4×D43C2311yescharacteristic
73C2×#10621885—41no—
74C2×#10621885—41no—
75C2×#10621885C2×C414yescomplemented
76C22×C43⋊C8C2311yescharacteristic
77C22×C43⋊C8C2311yescharacteristic
78C2×C8×D43—22no—
79C2×C8×D43—22no—
80C2×C8×D43—41no—
81#13063301—22no—
82#13063301C2×C414yes—
83Q8×Dic43—22no—
84Q8×Dic43—41no—
85C2×C4⋊Dic43—21no—
86C2×C4⋊Dic43C2311yescharacteristic
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×Dic43⋊C4—21no—
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4—21no—
92C4⋊C4×D43—22no—
93C4⋊C4×D43—41no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4D411yescharacteristic
97C2×(C2×D43)⋊C4D411yescharacteristic
98C2×C4×Dic43—21no—
99C2×C4×Dic43—21no—
100C2×C4×Dic43C2311yescharacteristic
101#13063256—41no—
102#13063250—22no—
103#13063250C2×C414yescomplemented
104#13063249—22no—
105#13063249—41no—
106#13063249C2×C414yescomplemented
107#13063248—22no—
108(C2×D43)⋊C8C2×C414yes—
109#13063235—41no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95D411yescharacteristic
120C43⋊#95D411yescharacteristic
121C22×Q8×C43C2311yescharacteristic
122C22×Q8×C43C2311yescharacteristic
123C2×Q16×C43—22no—
124C2×Q16×C43—22no—
125C2×Q16×C43C2×C414yescomplemented
126C22×C8×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128C4×Q8×C43—22no—
129C4×Q8×C43—22no—
130C4×Q8×C43—41no—
131C4×Q8×C43—41no—
132C2×C4⋊C4×C43—21no—
133C2×C4⋊C4×C43—21no—
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C42×C43—21no—
137C2×C42×C43—21no—
138C2×C42×C43C2311yescharacteristic
139#106×C43—22no—
140#103×C43—22no—
141#103×C43D414yes—
142#97×C43—22no—
143C23×D43C2×D411yescharacteristic
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43C22×C412yes—
153C2×Q8×C43C22×C412yes—
154C2×Q8×C43C2×D412yes—
155C2×Q8×C43#4112yes—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2411yescharacteristic
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43C2×D411yescharacteristic
168C22×Dic43C2×D411yescharacteristic
169C22×Dic43C2×D411yescharacteristic
170Q8×D43—28no—
171Q8×D43—44no—
172Q8×D43—44no—
173Q8×D43—44no—
174C2×C4×D43—21no—
175C2×C4×D43—21no—
176C2×C4×D43—21no—
177C2×C4×D43—21no—
178C2×C4×D43—24no—
179C2×C4×D43—42no—
180C2×C4×D43—42no—
181C2×C4×D43—42no—
182C2×C4×D43—42no—
183C2×C4×D43—81no—
184C2×C4×D43C22×C412yes—
185C2×C4×D43#4112yes—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—24no—
192C2×Dic86—42no—
193C2×Dic86—42no—
194C2×Dic86C22×C412yes—
195Q16×C43—28no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43C22×C412yes—
201C2×C8×C43C2×D412yes—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—42no—
206C4⋊C4×C43—42no—
207C4⋊C4×C43C2×D412yes—
208C42×C43—21no—
209C42×C43—21no—
210C42×C43—42no—
211C42×C43—42no—
212#10621885—44no—
213(C2×D43)⋊C4—24no—
214(C2×D43)⋊C4—22no—
215(C2×D43)⋊C4—22no—
216(C2×D43)⋊C4—42no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—42no—
223C4⋊Dic43C22×C412yes—
224Dic43⋊C4—24no—
225Dic43⋊C4—42no—
226Dic43⋊C4—81no—
227C4×Dic43—21no—
228C4×Dic43—21no—
229C4×Dic43—42no—
230C4×Dic43—81no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8C22×C412yes—
237C8×D43—44no—
238C23×C43C22×D411yescharacteristic
239C22×D43—21no—
240C22×D43—21no—
241C22×D43—21no—
242C22×D43—21no—
243C22×D43C4×D412yes—
244C22×D43#13712yes—
245C22×D43#13712yes—
246Q8×C43—22no—
247Q8×C43—22no—
248Q8×C43—22no—
249Q8×C43—22no—
250Q8×C43—22no—
251Q8×C43—41no—
252Q8×C43—41no—
253Q8×C43C4×D414yes—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43C23×C411yescharacteristic
273C2×C4×C43C22×D411yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×C4×C43H(5,𝔽2)11yescharacteristic
277C2×C4×C43H(5,𝔽2)11yescharacteristic
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43C4×D412yes—
299C4×D43—22no—
300C4×D43—22no—
301C4×D43—22no—
302C4×D43—22no—
303C4×D43—48no—
304C4×D43—84no—
305Dic86—22no—
306Dic86—22no—
307Dic86—48no—
308Dic86—41no—
309Dic86—41no—
310C8×C43—22no—
311C8×C43—22no—
312C43⋊C8—22no—
313C43⋊C8—41no—
314#22859—431nomaximal, Sylow
315C22×C43C2×C4×D411yescharacteristic
316C22×C43D4211yescharacteristic
317C22×C43#54611yescharacteristic
318C22×C43C2×#13711yescharacteristic
319C22×C43C2×#13711yescharacteristic
320C22×C43#57711yescharacteristic
321C22×C43#57811yescharacteristic
322C2×D43—22no—
323C2×D43—22no—
324C2×D43—22no—
325C2×D43—22no—
326C2×D43—22no—
327C2×D43—22no—
328C2×D43#44114yescomplemented
329C4×C43—24no—
330C4×C43—42no—
331C4×C43—42no—
332C4×C43—41no—
333C4×C43—41no—
334C4×C43—81no—
335C4×C43C2×C4×D411yescharacteristic
336C4×C43#51811yescharacteristic
337C4×C43#54611yescharacteristic
338C4×C43#55111yescharacteristic
339Dic43—22no—
340Dic43—42no—
341Dic43—42no—
342Dic43—41no—
343Dic43—41no—
344Dic43—81no—
345Dic43—81no—
346C2×#451—431no—
347C2×#441D4311yescharacteristic, complemented
348C22×#103—431no—
349#2360—431no—
350Q8×C22⋊C4—431no—
351#1971—431no—
352#1935—431no—
353#1927—431no—
354#1892—431no—
355#1878—431no—
356#1878—431no—
357#1865—431no—
358#1853—431no—
359#1763—431no—
360#1752—431no—
361C2×C43#235811yescharacteristic
362C2×C43C2×#44111yescharacteristic
363C2×C43#294711yescharacteristic
364C2×C43#326611yescharacteristic
365C2×C43#327011yescharacteristic
366C2×C43#331211yescharacteristic
367C2×C43#331611yescharacteristic
368D43—24no—
369C23×Q8—431no—
370C22×Q16—431no—
371C22×Q16C2×D4311yescharacteristic
372C23×C8—431no—
373C2×C22⋊Q8—431no—
374C2×C4×Q8—431no—
375C2×C4×Q8C2×D4311yescharacteristic
376C2×C4×Q8C2×D4311yescharacteristic
377C22×C4⋊C4—431no—
378#451—438no—
379#441—24no—
380C2×#106—431no—
381C2×#106C2×D4311yescharacteristic
382C2×#103—431no—
383C2×#103—431no—
384C2×#103—431no—
385C2×#103—431no—
386C2×#103—431no—
387C2×#103—431no—
388C2×#103—864no—
389C2×#103C2×D4311yescharacteristic
390C2×#103C2×D4311yescharacteristic
391C2×C22⋊C8—431no—
392C2×#97—431no—
393C2×#97C2×D4311yescharacteristic
394#391—431no—
395#391—431no—
396#391—431no—
397#391—861no—
398#391—861no—
399#389—431no—
400#389—861no—
401#387—861no—
402#385—861no—
403#380—431no—
404#380—861no—
405C4×C4⋊C4—431no—
406C4×C22⋊C4—431no—
407C4×C22⋊C4—861no—
408C4×C22⋊C4—861no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#336—431no—
414#336—431no—
415C43#2285911yescharacteristic, complemented, Sylow
416C22×Q8—434no—
417C22×Q8—431no—
418C22×Q8—861no—
419C22×Q8—862no—
420C22×Q8—862no—
421C22×Q8—862no—
422C22×Q8—1721no—
423C22×Q8—1721no—
424C22×Q8C22×D4311yescharacteristic
425C22×Q8C22×D4311yescharacteristic
426C23×C4—431no—
427C23×C4—861no—
428C23×C4—861no—
429C2×Q16—22no—
430C2×Q16—22no—
431C2×Q16—434no—
432C2×Q16—1721no—
433C2×Q16—1721no—
434C2×Q16C4×D4314yescomplemented
435C22×C8—431no—
436C22×C8—431no—
437C22×C8—862no—
438C22×C8—862no—
439C22×C8—1721no—
440C22×C8C22×D4311yescharacteristic
441C22×C8C22×D4311yescharacteristic
442C22⋊Q8—434no—
443C22⋊Q8—862no—
444C4×Q8—22no—
445C4×Q8—22no—
446C4×Q8—41no—
447C4×Q8—41no—
448C4×Q8—862no—
449C4×Q8—1721no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—861no—
456C2×C4⋊C4—862no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—1721no—
461C2×C4⋊C4C22×D4311yescharacteristic
462C2×C4⋊C4C22×D4311yescharacteristic
463C2×C22⋊C4—431no—
464C2×C22⋊C4—431no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C42—21no—
468C2×C42—21no—
469C2×C42—431no—
470C2×C42—861no—
471C2×C42—861no—
472C2×C42C22×D4311yescharacteristic
473#106—22no—
474#106—1721no—
475#103—22no—
476#103—434no—
477#103—434no—
478#103—862no—
479#103—862no—
480#103—862no—
481#103—1721no—
482#103C22⋊D4314yes—
483C22⋊C8—434no—
484#97—22no—
485#97—1721no—
486#95—431no—
487#95—431no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492#95—861no—
493#95—861no—
494#95—861no—
495#95—861no—
496#95—861no—
497C24—431no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—432no—
507C2×Q8—864no—
508C2×Q8—861no—
509C2×Q8—868no—
510C2×Q8—861no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—861no—
514C2×Q8—1722no—
515C2×Q8—1722no—
516C2×Q8—1724no—
517C2×Q8—1724no—
518C2×Q8—1724no—
519C2×Q8C2×C4×D4312yes—
520C2×Q8C2×C4×D4312yes—
521C2×Q8#1062189812yes—
522C2×Q8C2×C22⋊D4312yes—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—431no—
528C22×C4—432no—
529C22×C4—432no—
530C22×C4—431no—
531C22×C4—431no—
532C22×C4—864no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—861no—
539C22×C4—861no—
540C22×C4—861no—
541C22×C4—3441no—
542C22×C4—1722no—
543C22×C4—1722no—
544C22×C4—1722no—
545C22×C4—1722no—
546C22×C4D4×D4311yescharacteristic
547C22×C4D4×D4311yescharacteristic
548C22×C4C23×D4311yescharacteristic
549Q16—28no—
550Q16—1724no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—432no—
556C2×C8—861no—
557C2×C8—861no—
558C2×C8—861no—
559C2×C8—861no—
560C2×C8—861no—
561C2×C8—1724no—
562C2×C8C2×C4×D4312yes—
563C2×C8C2×C22⋊D4312yes—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—432no—
570C4⋊C4—864no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—3441no—
577C4⋊C4—1722no—
578C4⋊C4—1722no—
579C4⋊C4C2×C22⋊D4312yes—
580C22⋊C4—862no—
581C22⋊C4—862no—
582C22⋊C4—864no—
583C22⋊C4—1722no—
584C42—21no—
585C42—21no—
586C42—42no—
587C42—42no—
588C42—861no—
589C42—861no—
590C42—3441no—
591C42—1722no—
592C23—432no—
593C23—432no—
594C23—432no—
595C23—861no—
596C23—861no—
597C23—861no—
598C23—861no—
599C23C2×D4×D4311yescharacteristic
600Q8—22no—
601Q8—22no—
602Q8—22no—
603Q8—22no—
604Q8—22no—
605Q8—41no—
606Q8—41no—
607Q8—862no—
608Q8—862no—
609Q8—1728no—
610Q8—1721no—
611Q8—1721no—
612Q8C4×C22⋊D4314yes—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—432no—
632C2×C4—861no—
633C2×C4—861no—
634C2×C4—862no—
635C2×C4—862no—
636C2×C4—862no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—862no—
640C2×C4—861no—
641C2×C4—861no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—861no—
645C2×C4—861no—
646C2×C4—3444no—
647C2×C4—1728no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4C22×C4×D4311yescharacteristic
659C2×C4C22×C22⋊D4311yescharacteristic
660C2×C4#41×D4311yescharacteristic
661C2×C4C2×#1062189811yescharacteristic
662C2×C4#1306337011yescharacteristic
663C2×C4#1306337111yescharacteristic
664C8—22no—
665C8—22no—
666C8—862no—
667C8—1721no—
668C22—434no—
669C22—862no—
670C22—862no—
671C22—862no—
672C22—862no—
673C22—862no—
674C22—862no—
675C22C4×D4×D4311yescharacteristic
676C22D4×C22⋊D4311yescharacteristic
677C22#1458354511yescharacteristic
678C22#137×D4311yescharacteristic
679C22#137×D4311yescharacteristic
680C22#1458370811yescharacteristic
681C22#1458371511yescharacteristic
682C4—24no—
683C4—42no—
684C4—41no—
685C4—42no—
686C4—41no—
687C4—81no—
688C4—862no—
689C4—3441no—
690C4—3441no—
691C4—1722no—
692C4—1722no—
693C4—1721no—
694C4—1721no—
695C4C2×C4×C22⋊D4311yescharacteristic
696C4#1458337111yescharacteristic
697C4#1458353711yescharacteristic
698C4#1458357811yescharacteristic
699C2—864no—
700C2#1913757211yescharacteristic
701C2#441×D4311yescharacteristic
702C2#1914343711yescharacteristic
703C2#1914609911yescharacteristic
704C2#1914615911yescharacteristic
705C2#1914665111yescharacteristic
706C2#1914671111yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#441C2
socleC23×C43C22×D4
prime radicalC23×D43C2×D4
cosocleC22×C4×C43C24
hypercenterC2×#441D43
hypocenterC43#22859
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#441

Complements

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

NH ≅ G/Ntype
5. #19135463C2semidirect
6. #19135285C2semidirect
7. #19135228C2semidirect
9. #19134938C2semidirect
10. #19134936C2semidirect
11. #19134863C2semidirect
13. #19134427C2semidirect
15. C2×C43×#441C2semidirect
22. #14583053C4semidirect
75. C2×#10621885C2×C4semidirect
103. #13063250C2×C4semidirect
106. #13063249C2×C4semidirect
125. C2×Q16×C43C2×C4semidirect
328. C2×D43#441semidirect
347. C2×#441D43semidirect
415. C43#22859semidirect
434. C2×Q16C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145830532
C2×#103×D432
#191375962
Q8×(C2×D43)⋊C42
#191354632
#191352852
#191352282
#191350152
#191349382
#191349362
#191348632
#191347862
#191344272
#191343722
C2×C43×#4412
#2285943