Finite Group Databasebeta

← #25119034

Subgroups — #25119034

Order 11008.

1046 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×#14583000C211yesmaximal, characteristic, complemented
2C2×SD16×Dic43C211yesmaximal, characteristic, complemented
3#19137660C211yesmaximal, characteristic
4#19137516C211yesmaximal, characteristic, complemented
5#19135420C211yesmaximal, characteristic
6#19135365C211yesmaximal, characteristic, complemented
7#19135294C211yesmaximal, characteristic, complemented
8#19135280C211yesmaximal, characteristic, complemented
9#19134952C211yesmaximal, characteristic, complemented
10#19134952C211yesmaximal, characteristic, complemented
11#19134858C211yesmaximal, characteristic, complemented
12#19134844C211yesmaximal, characteristic, complemented
13#19134472C211yesmaximal, characteristic, complemented
14#19134425C211yesmaximal, characteristic, complemented
15C2×C43×#460C211yesmaximal, characteristic
16C2×Q8×Dic43C2211yescharacteristic
17C2×Q8×Dic43C2211yescharacteristic
18C2×D4×Dic43—21no—
19C2×D4×Dic43C2211yescharacteristic
20C2×D4×Dic43C2211yescharacteristic
21#14583000—24no—
22SD16×Dic43—24no—
23C2×#13063259C2211yescharacteristic
24C2×#13063257C2211yescharacteristic
25C2×#13063249C2211yescharacteristic
26C2×#13063249C2211yescharacteristic
27C2×#13063246C2211yescharacteristic
28C2×#13063246C2211yescharacteristic
29C2×#13063246C2211yescharacteristic
30C2×#13063246C2211yescharacteristic
31C2×#13063236C2211yescharacteristic
32C2×#13063235C2211yescharacteristic
33C2×C8×Dic43C2211yescharacteristic
34#14582802—21no—
35#14582802C2211yescharacteristic
36#14582802C2211yescharacteristic
37#14582798—21no—
38#14582798—21no—
39#14582798C2211yescharacteristic
40#14582798C2211yescharacteristic
41#14582779—21no—
42#14582779—21no—
43#14582765—21no—
44#14582765C2211yescharacteristic
45C4×C4⋊Dic43—21no—
46C4×C4⋊Dic43C2211yescharacteristic
47C4×C4⋊Dic43C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582653C2211yescharacteristic
53#14582653C2211yescharacteristic
54C22×SD16×C43C2211yescharacteristic
55C22×SD16×C43C2211yescharacteristic
56C2×#127×C43C2211yescharacteristic
57C2×C4×Q8×C43C2211yescharacteristic
58C43×#460C418yescomplemented
59C2×C4⋊C8×C43C2211yescharacteristic
60C2×#102×C43C2211yescharacteristic
61C2×#102×C43C2211yescharacteristic
62C23×Dic43—21no—
63C23×Dic43—21no—
64C22×C43⋊C8C2311yescharacteristic
65C22×C43⋊C8C2311yescharacteristic
66Q8×Dic43—22no—
67Q8×Dic43—22no—
68Q8×Dic43—41no—
69Q8×Dic43—41no—
70D4×Dic43—22no—
71D4×Dic43—22no—
72D4×Dic43—41no—
73D4×Dic43—41no—
74D4×Dic43—44no—
75C2×C4⋊Dic43—21no—
76C2×C4⋊Dic43—21no—
77C2×C4⋊Dic43—21no—
78C2×C4⋊Dic43—21no—
79C2×C4⋊Dic43D411yescharacteristic
80C2×C4⋊Dic43D411yescharacteristic
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×C4⋊Dic43C2311yescharacteristic
85C2×C22⋊Dic43—21no—
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43—21no—
90C2×C22⋊Dic43—21no—
91C2×C4×Dic43—21no—
92C2×C4×Dic43—21no—
93C2×C4×Dic43—21no—
94C2×C4×Dic43C2311yescharacteristic
95C2×C4×Dic43C2311yescharacteristic
96#13063259—22no—
97#13063257—22no—
98#13063249—22no—
99#13063249D414yescomplemented
100#13063246—22no—
101#13063246—22no—
102#13063246—41no—
103#13063246—41no—
104#13063236—22no—
105#13063235—22no—
106C8×Dic43—22no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95D411yescharacteristic
113C43⋊#95D411yescharacteristic
114C22×Q8×C43C2311yescharacteristic
115C22×D4×C43—21no—
116C22×D4×C43—21no—
117C22×D4×C43C2311yescharacteristic
118C22×D4×C43C2311yescharacteristic
119C2×SD16×C43—22no—
120C2×SD16×C43—22no—
121C2×SD16×C43—22no—
122C2×SD16×C43—22no—
123C2×SD16×C43C2×C414yescomplemented
124C2×SD16×C43C2×C414yescomplemented
125C22×C8×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127#127×C43—22no—
128#127×C43C2×C414yes—
129C4×Q8×C43—22no—
130C4×Q8×C43C2×C414yescomplemented
131C2×C4⋊C4×C43—21no—
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C42×C43—21no—
134C2×C42×C43C2311yescharacteristic
135C4⋊C8×C43C2×C414yescomplemented
136#102×C43C2×C414yescomplemented
137#102×C43C2×C414yescomplemented
138C24×C43—21no—
139C24×C43—21no—
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43C22×C412yes—
144C2×Q8×C43C2×D412yes—
145C2×Q8×C43#4112yes—
146C2×D4×C43—24no—
147C2×D4×C43—24no—
148C2×D4×C43—21no—
149C2×D4×C43—21no—
150C2×D4×C43—21no—
151C2×D4×C43—21no—
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43—21no—
157C2×D4×C43—21no—
158C2×D4×C43—42no—
159C2×D4×C43—42no—
160C2×D4×C43—81no—
161C2×D4×C43—81no—
162C2×D4×C43C22×C412yes—
163C2×D4×C43C22×C412yes—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43C2×D411yescharacteristic
167C22×C4×C43C2×D411yescharacteristic
168C22×C4×C43C2411yescharacteristic
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—21no—
172C22×Dic43—21no—
173C22×Dic43—42no—
174C22×Dic43—42no—
175C22×Dic43—42no—
176C22×Dic43—42no—
177C22×Dic43—81no—
178C22×Dic43—81no—
179C22×Dic43C2×D411yescharacteristic
180C22×Dic43C2×D411yescharacteristic
181C22×Dic43C2×D411yescharacteristic
182C22×Dic43C2×D411yescharacteristic
183SD16×C43—28no—
184SD16×C43—28no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43C22×C412yes—
190C2×C8×C43C22×C412yes—
191C4⋊C4×C43—24no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43C22×C412yes—
194C42×C43—24no—
195C42×C43C22×C412yes—
196C42×C43#4112yes—
197C22⋊Dic43—42no—
198C22⋊Dic43—42no—
199C22⋊Dic43—42no—
200C22⋊Dic43—42no—
201C22⋊Dic43—81no—
202C22⋊Dic43—81no—
203C4⋊Dic43—21no—
204C4⋊Dic43—22no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—41no—
212C4⋊Dic43—42no—
213C4⋊Dic43—42no—
214C4⋊Dic43—42no—
215C4⋊Dic43—42no—
216C4⋊Dic43C2×D412yes—
217C4×Dic43—21no—
218C4×Dic43—21no—
219C4×Dic43—21no—
220C4×Dic43—21no—
221C4×Dic43—42no—
222C4×Dic43—42no—
223C4×Dic43—42no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8C2×D412yes—
230C23×C43—22no—
231C23×C43—22no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43C22×D411yescharacteristic
245Q8×C43—22no—
246Q8×C43—22no—
247Q8×C43—22no—
248Q8×C43C4×D414yescomplemented
249D4×C43—22no—
250D4×C43—22no—
251D4×C43—22no—
252D4×C43—22no—
253D4×C43—48no—
254D4×C43—41no—
255D4×C43—41no—
256D4×C43—41no—
257D4×C43—41no—
258D4×C43—84no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—22no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43C4×D412yes—
270C2×C4×C43C4×D412yes—
271C2×C4×C43C23×C411yescharacteristic
272C2×C4×C43C22×D411yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C43H(5,𝔽2)11yescharacteristic
276C2×C4×C432−1+411yescharacteristic
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—22no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
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×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—84no—
301C2×Dic43—84no—
302C2×Dic43AGL(1,ℤ/8)12yes—
303C8×C43—22no—
304C8×C43—22no—
305C43⋊C8—22no—
306C43⋊C8—41no—
307#23010—431nomaximal, Sylow
308C22×C43—42no—
309C22×C43—42no—
310C22×C43—42no—
311C22×C43—42no—
312C22×C43—42no—
313C22×C43—42no—
314C22×C43—81no—
315C22×C43—81no—
316C22×C43—81no—
317C22×C43—81no—
318C22×C43—81no—
319C22×C43—81no—
320C22×C43—81no—
321C22×C43—81no—
322C22×C43C2×C4×D411yescharacteristic
323C22×C43D4211yescharacteristic
324C22×C43#54811yescharacteristic
325C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
326C22×C43#57511yescharacteristic
327C22×C43#57711yescharacteristic
328C22×C43#57711yescharacteristic
329C4×C43—24no—
330C4×C43—22no—
331C4×C43—22no—
332C4×C43—42no—
333C4×C43C2×C4×D411yescharacteristic
334C4×C43#52011yescharacteristic
335C4×C43#54711yescharacteristic
336C4×C43#55311yescharacteristic
337Dic43—22no—
338Dic43—41no—
339Dic43—42no—
340Dic43—41no—
341Dic43—41no—
342Dic43—81no—
343Dic43—81no—
344Dic43—81no—
345C2×#460D4311yescharacteristic
346C2×#440—431no—
347C2×C4×SD16—431no—
348#2366—431no—
349#2351—431no—
350#1961—431no—
351#1949—431no—
352#1936—431no—
353#1934—431no—
354#1880—431no—
355#1880—431no—
356#1864—431no—
357#1862—431no—
358#1771—431no—
359#1763—431no—
360C2×C43—82no—
361C2×C43—82no—
362C2×C43#236111yescharacteristic
363C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
364C2×C43#294911yescharacteristic
365C2×C43#326511yescharacteristic
366C2×C43#327111yescharacteristic
367C2×C43#336811yescharacteristic
368C2×C43#337111yescharacteristic
369C22×SD16C2×D4311yescharacteristic
370C22×SD16C2×D4311yescharacteristic
371C2×#127C2×D4311yescharacteristic
372C2×C4×Q8—431no—
373C2×C4×Q8—431no—
374C2×C4×Q8C2×D4311yescharacteristic
375C2×C4×D4—431no—
376C2×C4×D4—431no—
377C2×C4×D4—861no—
378#460Dic4318yescomplemented
379#440—864no—
380C4×SD16—864no—
381C2×#107—431no—
382C2×#106—431no—
383C2×C4⋊C8C2×D4311yescharacteristic
384C2×#103—431no—
385C2×#103—431no—
386C2×#102—431no—
387C2×#102—431no—
388C2×#102—431no—
389C2×#102—431no—
390C2×#102C2×D4311yescharacteristic
391C2×#102C2×D4311yescharacteristic
392C2×#97—431no—
393C2×#97—431no—
394C2×C4×C8—431no—
395#390—431no—
396#390—431no—
397#390—861no—
398#389—431no—
399#389—431no—
400#389—861no—
401#389—861no—
402#386—861no—
403#386—861no—
404#382—431no—
405#382—861no—
406C4×C4⋊C4—431no—
407C4×C4⋊C4—431no—
408C4×C4⋊C4—861no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#336—431no—
414#336—431no—
415C43#2301011yescharacteristic, complemented, Sylow
416C22×Q8C22×D4311yescharacteristic
417C22×D4—21no—
418C22×D4—21no—
419C22×D4C22×D4311yescharacteristic
420C22×D4C22×D4311yescharacteristic
421C23×C4—861no—
422C23×C4—861no—
423C2×SD16—22no—
424C2×SD16—22no—
425C2×SD16—22no—
426C2×SD16—22no—
427C2×SD16C2×Dic4314yescomplemented
428C2×SD16C2×Dic4314yescomplemented
429C22×C8—431no—
430C22×C8—431no—
431C22×C8C22×D4311yescharacteristic
432C22×C8C22×D4311yescharacteristic
433#127—22no—
434#127C2×Dic4314yes—
435C4×Q8—22no—
436C4×Q8—862no—
437C4×Q8—862no—
438C4×Q8—1721no—
439C4×Q8—1721no—
440C4×Q8C2×Dic4314yescomplemented
441C4×D4—862no—
442C4×D4—862no—
443C4×D4—1721no—
444C4×D4—1721no—
445C4×D4—1724no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—431no—
449C2×C4⋊C4—431no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—861no—
454C2×C4⋊C4—861no—
455C2×C4⋊C4—861no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4C22×D4311yescharacteristic
458C2×C22⋊C4—861no—
459C2×C22⋊C4—861no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C42—21no—
465C2×C42—431no—
466C2×C42—431no—
467C2×C42—861no—
468C2×C42—861no—
469C2×C42—861no—
470C2×C42C22×D4311yescharacteristic
471#107—862no—
472#106—862no—
473C4⋊C8C2×Dic4314yescomplemented
474#103—434no—
475#103—862no—
476#102—862no—
477#102—862no—
478#102—1721no—
479#102—1721no—
480#102C2×Dic4314yescomplemented
481#102C2×Dic4314yescomplemented
482#97—862no—
483#97—862no—
484C4×C8—862no—
485#95—431no—
486#95—431no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492C24—21no—
493C24—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8D4×D4312yes—
498C2×Q8#1062190012yes—
499C2×Q8C22×Dic4312yes—
500C2×D4—24no—
501C2×D4—24no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—42no—
513C2×D4—42no—
514C2×D4—81no—
515C2×D4—81no—
516C2×D4C22×Dic4312yes—
517C2×D4C22×Dic4312yes—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—431no—
521C22×C4—431no—
522C22×C4—431no—
523C22×C4—431no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—3441no—
529C22×C4—3441no—
530C22×C4—1722no—
531C22×C4—1722no—
532C22×C4—1722no—
533C22×C4—1722no—
534C22×C4D4×D4311yescharacteristic
535C22×C4D4×D4311yescharacteristic
536C22×C4C23×D4311yescharacteristic
537SD16—28no—
538SD16—28no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—432no—
544C2×C8—861no—
545C2×C8—861no—
546C2×C8—861no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8C22×Dic4312yes—
550C2×C8C22×Dic4312yes—
551C4⋊C4—24no—
552C4⋊C4—21no—
553C4⋊C4—432no—
554C4⋊C4—862no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4—861no—
558C4⋊C4—861no—
559C4⋊C4—861no—
560C4⋊C4—861no—
561C4⋊C4—861no—
562C4⋊C4—1721no—
563C4⋊C4—1722no—
564C4⋊C4—1722no—
565C4⋊C4—1722no—
566C4⋊C4—1722no—
567C4⋊C4C22×Dic4312yes—
568C22⋊C4—3441no—
569C22⋊C4—3441no—
570C22⋊C4—1722no—
571C22⋊C4—1722no—
572C22⋊C4—1722no—
573C22⋊C4—1722no—
574C42—24no—
575C42—861no—
576C42—861no—
577C42—861no—
578C42—861no—
579C42—1722no—
580C42—1722no—
581C42—1722no—
582C42#1062190012yes—
583C42C22×Dic4312yes—
584C23—22no—
585C23—22no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23C2×D4×D4311yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—22no—
602Q8D4×Dic4314yescomplemented
603D4—22no—
604D4—22no—
605D4—22no—
606D4—22no—
607D4—48no—
608D4—41no—
609D4—41no—
610D4—41no—
611D4—41no—
612D4—84no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—432no—
624C2×C4—861no—
625C2×C4—861no—
626C2×C4—861no—
627C2×C4—861no—
628C2×C4—861no—
629C2×C4—861no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—861no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—862no—
636C2×C4—3444no—
637C2×C4—3444no—
638C2×C4—1721no—
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×C4—1721no—
649C2×C4D4×Dic4312yes—
650C2×C4D4×Dic4312yes—
651C2×C4C23×Dic4311yescharacteristic
652C2×C4C2×D4×D4311yescharacteristic
653C2×C4C2×#1062190011yescharacteristic
654C2×C4C2×#1062190011yescharacteristic
655C2×C4#1306337111yescharacteristic
656C2×C4#1306337211yescharacteristic
657C8—22no—
658C8—22no—
659C8—862no—
660C8—1721no—
661C22—42no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—81no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22C2×D4×Dic4311yescharacteristic
676C22#1458353311yescharacteristic
677C22#1458355511yescharacteristic
678C22AGL(1,ℤ/8)×D4311yescharacteristic
679C22#1458369511yescharacteristic
680C22#1458370511yescharacteristic
681C22#1458370511yescharacteristic
682C4—22no—
683C4—24no—
684C4—22no—
685C4—42no—
686C4—862no—
687C4—3441no—
688C4—3441no—
689C4—3441no—
690C4—1721no—
691C4—1722no—
692C4—1721no—
693C4—1721no—
694C4C2×D4×Dic4311yescharacteristic
695C4#1458338211yescharacteristic
696C4#1458354911yescharacteristic
697C4#1458360111yescharacteristic
698C2—82no—
699C2—82no—
700C2#1913761511yescharacteristic
701C2AGL(1,ℤ/8)×Dic4311yescharacteristic
702C2#1914345511yescharacteristic
703C2#1914608511yescharacteristic
704C2#1914617511yescharacteristic
705C2#1914731911yescharacteristic
706C2#1914735611yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#460C2
socleC23×C43C22×D4
prime radicalC2×#127×C43C22
cosocleC22×C4×C43C24
hypercenterC2×#460D43
hypocenterC43#23010
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#460

Complements

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

NH ≅ G/Ntype
1. C2×#14583000C2semidirect
2. C2×SD16×Dic43C2semidirect
4. #19137516C2semidirect
6. #19135365C2semidirect
7. #19135294C2semidirect
8. #19135280C2semidirect
9. #19134952C2semidirect
10. #19134952C2semidirect
11. #19134858C2semidirect
12. #19134844C2semidirect
13. #19134472C2semidirect
14. #19134425C2semidirect
58. C43×#460C4semidirect
99. #13063249D4semidirect
123. C2×SD16×C43C2×C4semidirect
124. C2×SD16×C43C2×C4semidirect
130. C4×Q8×C43C2×C4semidirect
135. C4⋊C8×C43C2×C4semidirect
136. #102×C43C2×C4semidirect
137. #102×C43C2×C4semidirect
248. Q8×C43C4×D4semidirect
378. #460Dic43semidirect
415. C43#23010semidirect
427. C2×SD16C2×Dic43semidirect
428. C2×SD16C2×Dic43semidirect
440. C4×Q8C2×Dic43semidirect
473. C4⋊C8C2×Dic43semidirect
480. #102C2×Dic43semidirect
481. #102C2×Dic43semidirect
602. Q8D4×Dic43semidirect

Maximal subgroups

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

subgroupindex
C2×#145830002
C2×SD16×Dic432
#191376602
#191375162
#191354202
#191353652
#191352942
#191352802
#191349522
#191348582
#191348442
#191344722
#191344252
C2×C43×#4602
#2301043