Finite Group Databasebeta

← #25097871

Subgroups — #25097871

Order 11008.

1842 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583477C211yesmaximal, characteristic
2C2×#14582898C211yesmaximal, characteristic, complemented
3C2×#14582893C211yesmaximal, characteristic, complemented
4C2×#14582866C211yesmaximal, characteristic, complemented
5#19134917C212yesmaximal, complemented
6#19134912C212yesmaximal, complemented
7#19134907C212yesmaximal, complemented
8#19134902C212yesmaximal, complemented
9#19134316C211yesmaximal, characteristic, complemented
10C2×#14582661C211yesmaximal, characteristic, complemented
11C2×C43×#520C211yesmaximal, characteristic, complemented
12C22×#10621898C2211yescharacteristic
13C22×#10621877C2211yescharacteristic
14C23×C43⋊C8C2211yescharacteristic
15#14583477—24no—
16#14583477C418yescomplemented
17C2×#13063304C2212yes—
18C2×#13063301—21no—
19C2×#13063299C2212yes—
20C2×#13063297—22no—
21C2×#13063296—21no—
22C22×C4⋊Dic43C2211yescharacteristic
23#14582898—24no—
24#14582893—24no—
25C2×#13063248C2211yescharacteristic
26C2×#13063248C2211yescharacteristic
27C2×#13063248C2212yes—
28C2×#13063245C2211yescharacteristic
29C2×#13063245C2211yescharacteristic
30C2×#13063245C2212yes—
31#14582866—24no—
32C2×C22⋊(C43⋊C8)C2212yes—
33C2×C22⋊(C43⋊C8)C2212yes—
34#14582661C2212yes—
35#14582661C2212yes—
36#14582661C2212yes—
37#14582661C2212yes—
38C22×#41×C43C2211yescharacteristic
39C43×#520—24no—
40C43×#520—24no—
41C2×C4×Q8×C43—21no—
42C2×C4×D4×C43—21no—
43C2×C4×D4×C43—22no—
44C2×#117×C43C2212yes—
45C2×#117×C43C2211yescharacteristic
46C22×C4⋊C4×C43C2212yes—
47C22×C4⋊C4×C43C2211yescharacteristic
48C2×#10621898—22no—
49C2×#10621898—22no—
50C2×#10621898—22no—
51C2×#10621898—22no—
52C2×#10621898—22no—
53C2×#10621898C2×C414yescomplemented
54C22×Dic86C2311yescharacteristic
55C22×D172C2311yescharacteristic
56C22×C22⋊D43—21no—
57C22×C22⋊D43—22no—
58C23×Dic43—21no—
59C22×C4×D43—21no—
60C2×#10621877—22no—
61C2×#10621877—22no—
62C2×#10621877—22no—
63C22×C43⋊C8—22no—
64C22×C43⋊C8—22no—
65C22×C43⋊C8—22no—
66C22×C43⋊C8C2311yescharacteristic
67C22×C43⋊C8C2311yescharacteristic
68C22×C43⋊C8C2312yes—
69#13063304—24no—
70#13063304C2×C418yescomplemented
71#13063301—28no—
72#13063299—24no—
73#13063299C2×C418yescomplemented
74#13063297—216no—
75#13063296—28no—
76C2×C4⋊Dic43—21no—
77C2×C4⋊Dic43—22no—
78C2×C4⋊Dic43C2×C414yescomplemented
79C2×C4⋊Dic43C2312yes—
80C2×Dic43⋊C4—22no—
81C2×C22⋊Dic43—22no—
82C2×(C2×D43)⋊C4—22no—
83#13063248—22no—
84#13063248—22no—
85#13063248—24no—
86#13063245—22no—
87#13063245—22no—
88#13063245—24no—
89C22⋊(C43⋊C8)—24no—
90C22⋊(C43⋊C8)—24no—
91C2×#41×C43—22no—
92C2×#41×C43—22no—
93C2×#41×C43—22no—
94C2×#41×C43—22no—
95C2×#41×C43C2×C414yes—
96C2×#41×C43D414yes—
97C22×Q8×C43D411yescharacteristic
98C22×D4×C43D411yescharacteristic
99C22×D4×C43D412yes—
100C23×C4×C43—22no—
101C23×C4×C43—21no—
102C23×C4×C43C2312yes—
103C23×C4×C43C2311yescharacteristic
104C4×Q8×C43—28no—
105C4×D4×C43—216no—
106C4×D4×C43—28no—
107#117×C43—22no—
108#117×C43—24no—
109#117×C43—24no—
110#117×C43D414yescomplemented
111C2×C4⋊C4×C43—22no—
112C2×C4⋊C4×C43—21no—
113C2×C4⋊C4×C43—22no—
114C2×C4⋊C4×C43—24no—
115C2×C4⋊C4×C43—24no—
116C2×C4⋊C4×C43D414yescomplemented
117C2×C4⋊C4×C43C2311yescharacteristic
118C2×C4⋊C4×C43C2312yes—
119C2×C4⋊C4×C43C2311yescharacteristic
120C2×C22⋊C4×C43—22no—
121C2×C22⋊C4×C43—21no—
122C2×C42×C43—22no—
123C2×C42×C43—21no—
124C24×C43C2×D412yes—
125C24×C43C2×D411yescharacteristic
126C23×D43—21no—
127#41×C43—28no—
128#41×C43—28no—
129#41×C43—28no—
130#41×C43—28no—
131C2×Q8×C43—22no—
132C2×Q8×C43—22no—
133C2×Q8×C43C22⋊C414yes—
134C2×D4×C43—22no—
135C2×D4×C43—22no—
136C2×D4×C43—24no—
137C2×D4×C43—24no—
138C2×D4×C43C22⋊C414yes—
139C2×D4×C43C22⋊C418yes—
140C22×C4×C43—22no—
141C22×C4×C43—22no—
142C22×C4×C43—22no—
143C22×C4×C43—22no—
144C22×C4×C43—28no—
145C22×C4×C43—24no—
146C22×C4×C43—21no—
147C22×C4×C43—22no—
148C22×C4×C43—21no—
149C22×C4×C43—81no—
150C22×C4×C43—81no—
151C22×C4×C43—82no—
152C22×C4×C43—82no—
153C22×C4×C43C22×C414yes—
154C22×C4×C43C22×C412yes—
155C22×C4×C43C2×D414yes—
156C22×C4×C43C2×D412yes—
157C22×C4×C43C2×D412yes—
158C22×C4×C43C2×D412yes—
159C22×C4×C43C2×D412yes—
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43#4112yes—
162C22×C4×C43#4112yes—
163C22×C4×C43C2411yescharacteristic
164C2×C22⋊D43—24no—
165C2×C22⋊D43—28no—
166C2×C22⋊D43—42no—
167C2×C22⋊D43—42no—
168C2×C22⋊D43—82no—
169C2×C22⋊D43—82no—
170C22×Dic43—24no—
171C22×Dic43—22no—
172C22×Dic43—21no—
173C22×Dic43—81no—
174C22×Dic43—81no—
175#10621898—28no—
176#10621898—28no—
177#10621898—44no—
178#10621898—44no—
179C2×D172—21no—
180C2×D172—21no—
181C2×D172—21no—
182C2×D172—21no—
183C2×D172—21no—
184C2×D172C22×C412yes—
185C2×C4×D43—24no—
186C2×C4×D43—42no—
187C2×C4×D43—42no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—21no—
192C2×Dic86—21no—
193C2×Dic86C22×C412yes—
194C4⋊C4×C43—28no—
195C4⋊C4×C43—24no—
196C4⋊C4×C43—22no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43C2×D412yes—
200C4⋊C4×C43C2×D414yes—
201C4⋊C4×C43C2×D412yes—
202C22⋊C4×C43—28no—
203C22⋊C4×C43—24no—
204C42×C43—28no—
205C42×C43—24no—
206C22⋊Dic43—28no—
207(C2×D43)⋊C4—28no—
208C4⋊Dic43—24no—
209C4⋊Dic43—22no—
210C4⋊Dic43C22×C414yes—
211Dic43⋊C4—28no—
212#10621877—44no—
213C2×C43⋊C8—21no—
214C2×C43⋊C8—21no—
215C2×C43⋊C8—22no—
216C2×C43⋊C8—21no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8—22no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—22no—
222C2×C43⋊C8—44no—
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—22no—
228C23×C43—22no—
229C23×C43—22no—
230C23×C43—22no—
231C23×C43—22no—
232C23×C43—22no—
233C23×C43C2×C22⋊C414yes—
234C23×C43C2×C22⋊C412yes—
235C23×C43#12012yes—
236C23×C43#12312yes—
237C23×C43C22×D411yescharacteristic
238C22×D43—22no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245Q8×C43—28no—
246D4×C43—216no—
247D4×C43—28no—
248C2×C4×C43—22no—
249C2×C4×C43—22no—
250C2×C4×C43—24no—
251C2×C4×C43—24no—
252C2×C4×C43—24no—
253C2×C4×C43—24no—
254C2×C4×C43—22no—
255C2×C4×C43—24no—
256C2×C4×C43—22no—
257C2×C4×C43—42no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—42no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—84no—
264C2×C4×C43—88no—
265C2×C4×C43C2×C22⋊C414yes—
266C2×C4×C43C2×C22⋊C412yes—
267C2×C4×C43C4×D414yes—
268C2×C4×C43C4×D414yes—
269C2×C4×C43#12012yes—
270C2×C4×C43#12114yes—
271C2×C4×C43#12114yes—
272C2×C4×C43#12312yes—
273C2×C4×C43C23×C411yescharacteristic
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43C22×D411yescharacteristic
276C2×C4×C43C22×D411yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C22⋊D43—48no—
280C22⋊D43—88no—
281C2×Dic43—22no—
282C2×Dic43—24no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—42no—
286C2×Dic43—42no—
287C2×Dic43—84no—
288D172—22no—
289D172—22no—
290D172—41no—
291D172—41no—
292C4×D43—48no—
293Dic86—22no—
294Dic86—22no—
295Dic86—41no—
296Dic86—41no—
297C43⋊C8—41no—
298C43⋊C8—41no—
299C43⋊C8—42no—
300#20915—431nomaximal, Sylow
301C22×C43—22no—
302C22×C43—22no—
303C22×C43—22no—
304C22×C43—22no—
305C22×C43—22no—
306C22×C43—22no—
307C22×C43—24no—
308C22×C43—24no—
309C22×C43—24no—
310C22×C43—42no—
311C22×C43—42no—
312C22×C43—42no—
313C22×C43—42no—
314C22×C43#38614yes—
315C22×C43C22×C22⋊C411yescharacteristic
316C22×C43C2×#12011yescharacteristic
317C22×C43C2×#12311yescharacteristic
318C22×C43#57611yescharacteristic
319C22×C43#57711yescharacteristic
320C22×C43#57711yescharacteristic
321C22×C43#57811yescharacteristic
322C2×D43—42no—
323C2×D43—42no—
324C2×D43—42no—
325C2×D43—81no—
326C2×D43—81no—
327C2×D43—81no—
328C2×D43—81no—
329C4×C43—24no—
330C4×C43—44no—
331C4×C43—42no—
332C4×C43—42no—
333C4×C43#38614yes—
334C4×C43C2×C4×D411yescharacteristic
335C4×C43C2×C4×D411yescharacteristic
336C4×C43C2×#12111yescharacteristic
337C4×C43C2×#12111yescharacteristic
338Dic43—44no—
339Dic43—42no—
340C2×#537—431no—
341C2×#520D4311yescharacteristic, complemented
342C2×#417—431no—
343C2×#416—431no—
344C2×#408—431no—
345#1875—432no—
346#1874—432no—
347#1873—432no—
348#1872—432no—
349#1736—431no—
350C2×#340—431no—
351C2×C43—24no—
352C2×C43—44no—
353C2×C43C2×#38611yescharacteristic
354C2×C43#289711yescharacteristic
355C2×C43#289811yescharacteristic
356C2×C43#301211yescharacteristic
357C2×C43#301311yescharacteristic
358C2×C43#309811yescharacteristic
359C2×C43#309911yescharacteristic
360D43—82no—
361C22×#41—431no—
362C22×#41C2×D4311yescharacteristic
363C22×M16—431no—
364C23×C8—431no—
365#537—438no—
366#537—864no—
367C2×C22⋊Q8—432no—
368C2×C22⋊Q8—861no—
369C2×#121—432no—
370C2×#121—861no—
371C2×#121—862no—
372#520—24no—
373#520—24no—
374C2×C4×Q8—21no—
375C2×C4×D4—22no—
376C2×C4×D4—21no—
377C2×#117C2×D4312yes—
378C2×#117C2×D4311yescharacteristic
379C22×C4⋊C4—431no—
380C22×C4⋊C4C2×D4312yes—
381C22×C4⋊C4C2×D4311yescharacteristic
382#417—864no—
383#416—864no—
384C2×#103—431no—
385C2×#103—431no—
386C2×#103—432no—
387C2×#102—431no—
388C2×#102—431no—
389C2×#102—432no—
390#408—864no—
391C2×C22⋊C8—432no—
392C2×C22⋊C8—432no—
393#340—432no—
394#340—432no—
395#340—432no—
396#340—432no—
397C43#2091511yescharacteristic, complemented, Sylow
398C2×#41—22no—
399C2×#41—22no—
400C2×#41—22no—
401C2×#41—22no—
402C2×#41—434no—
403C2×#41—862no—
404C2×#41—862no—
405C2×#41—862no—
406C2×#41—862no—
407C2×#41—862no—
408C2×#41C4×D4314yes—
409C2×#41D17214yes—
410C22×Q8—431no—
411C22×Q8C22⋊D4311yescharacteristic
412C22×D4—431no—
413C22×D4—862no—
414C22×D4—861no—
415C22×D4C22⋊D4312yes—
416C22×D4C22⋊D4311yescharacteristic
417C23×C4—22no—
418C23×C4—21no—
419C23×C4—861no—
420C23×C4—861no—
421C23×C4C22×D4312yes—
422C23×C4C22×D4311yescharacteristic
423C2×M16—862no—
424C2×M16—862no—
425C2×M16—862no—
426C22×C8—431no—
427C22×C8—431no—
428C22×C8—432no—
429C22×C8—862no—
430C22×C8—862no—
431C22×C8—862no—
432C22⋊Q8—438no—
433C22⋊Q8—868no—
434C22⋊Q8—864no—
435#121—438no—
436#121—868no—
437#121—8616no—
438#121—864no—
439C4×Q8—28no—
440C4×D4—216no—
441C4×D4—28no—
442#117—22no—
443#117—24no—
444#117—24no—
445#117C22⋊D4314yescomplemented
446C2×C4⋊C4—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—22no—
449C2×C4⋊C4—24no—
450C2×C4⋊C4—24no—
451C2×C4⋊C4—434no—
452C2×C4⋊C4—432no—
453C2×C4⋊C4—862no—
454C2×C4⋊C4—861no—
455C2×C4⋊C4—862no—
456C2×C4⋊C4C22⋊D4314yescomplemented
457C2×C4⋊C4C22×D4311yescharacteristic
458C2×C4⋊C4C22×D4312yes—
459C2×C4⋊C4C22×D4311yescharacteristic
460C2×C22⋊C4—22no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—862no—
463C2×C22⋊C4—862no—
464C2×C42—22no—
465C2×C42—21no—
466#103—862no—
467#103—862no—
468#103—864no—
469#102—862no—
470#102—862no—
471#102—864no—
472C22⋊C8—864no—
473C22⋊C8—864no—
474C24—861no—
475C24C2×C22⋊D4312yes—
476C24C2×C22⋊D4311yescharacteristic
477#41—28no—
478#41—28no—
479#41—28no—
480#41—28no—
481#41—868no—
482#41—868no—
483#41—1724no—
484#41—1724no—
485C2×Q8—22no—
486C2×Q8—22no—
487C2×Q8—432no—
488C2×Q8—861no—
489C2×Q8—861no—
490C2×Q8—861no—
491C2×Q8—861no—
492C2×Q8—861no—
493C2×Q8(C2×D43)⋊C414yes—
494C2×D4—24no—
495C2×D4—24no—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—432no—
499C2×D4—868no—
500C2×D4—864no—
501C2×D4—861no—
502C2×D4—861no—
503C2×D4—861no—
504C2×D4—861no—
505C2×D4—861no—
506C2×D4—3442no—
507C2×D4—3442no—
508C2×D4—1722no—
509C2×D4—1722no—
510C2×D4(C2×D43)⋊C418yes—
511C2×D4(C2×D43)⋊C414yes—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—28no—
520C22×C4—24no—
521C22×C4—81no—
522C22×C4—82no—
523C22×C4—81no—
524C22×C4—82no—
525C22×C4—864no—
526C22×C4—862no—
527C22×C4—861no—
528C22×C4—864no—
529C22×C4—3441no—
530C22×C4—3441no—
531C22×C4—1722no—
532C22×C4—1722no—
533C22×C4C2×C4×D4314yes—
534C22×C4C2×C4×D4312yes—
535C22×C4C2×D17214yes—
536C22×C4C2×D17212yes—
537C22×C4#1062189812yes—
538C22×C4#1062189812yes—
539C22×C4C2×C22⋊D4312yes—
540C22×C4C2×C22⋊D4311yescharacteristic
541C22×C4C2×C22⋊D4312yes—
542C22×C4C2×C22⋊D4312yes—
543C22×C4C23×D4311yescharacteristic
544M16—1724no—
545C2×C8—861no—
546C2×C8—861no—
547C2×C8—862no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8—862no—
551C2×C8—861no—
552C2×C8—861no—
553C2×C8—862no—
554C2×C8—1724no—
555C4⋊C4—28no—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—434no—
561C4⋊C4—864no—
562C4⋊C4—868no—
563C4⋊C4—862no—
564C4⋊C4C2×C22⋊D4312yes—
565C4⋊C4C2×C22⋊D4314yes—
566C4⋊C4C2×C22⋊D4312yes—
567C22⋊C4—28no—
568C22⋊C4—24no—
569C22⋊C4—868no—
570C22⋊C4—868no—
571C42—28no—
572C42—24no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—862no—
584C23—1721no—
585C23—1721no—
586C23—1721no—
587C23—1721no—
588C23—1721no—
589C23—1721no—
590C23C2×(C2×D43)⋊C414yes—
591C23C2×(C2×D43)⋊C412yes—
592C23#1306329412yes—
593C23#1306330812yes—
594C23C22×C22⋊D4311yescharacteristic
595Q8—28no—
596Q8—862no—
597Q8—862no—
598Q8—1721no—
599Q8—1721no—
600D4—216no—
601D4—28no—
602D4—862no—
603D4—862no—
604D4—3448no—
605D4—1728no—
606D4—1721no—
607D4—1721no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—42no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—42no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—84no—
624C2×C4—88no—
625C2×C4—864no—
626C2×C4—862no—
627C2×C4—3444no—
628C2×C4—1721no—
629C2×C4—1721no—
630C2×C4—1722no—
631C2×C4—1722no—
632C2×C4—1728no—
633C2×C4C2×(C2×D43)⋊C414yes—
634C2×C4C2×(C2×D43)⋊C412yes—
635C2×C4C4×C22⋊D4314yes—
636C2×C4C4×C22⋊D4314yes—
637C2×C4#1306329412yes—
638C2×C4#1306329914yes—
639C2×C4#1306329914yes—
640C2×C4#1306330812yes—
641C2×C4C22×C4×D4311yescharacteristic
642C2×C4C22×C22⋊D4311yescharacteristic
643C2×C4C22×C22⋊D4311yescharacteristic
644C2×C4C22×D17211yescharacteristic
645C2×C4C2×#1062189811yescharacteristic
646C2×C4C2×#1062189811yescharacteristic
647C8—1721no—
648C8—1721no—
649C8—1722no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—22no—
656C22—24no—
657C22—24no—
658C22—24no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22—3441no—
664C22—3441no—
665C22—3441no—
666C22—3441no—
667C22—1722no—
668C22—1722no—
669C22—1722no—
670C22#1458277814yes—
671C22C22×(C2×D43)⋊C411yescharacteristic
672C22C2×#1306329411yescharacteristic
673C22C2×#1306330811yescharacteristic
674C22#1458370211yescharacteristic
675C22#1458370711yescharacteristic
676C22#1458371011yescharacteristic
677C22#1458371411yescharacteristic
678C4—24no—
679C4—44no—
680C4—42no—
681C4—42no—
682C4—1724no—
683C4—1722no—
684C4#1458277814yes—
685C4C2×C4×C22⋊D4311yescharacteristic
686C4C2×C4×C22⋊D4311yescharacteristic
687C4C2×#1306329911yescharacteristic
688C4C2×#1306329911yescharacteristic
689C2—24no—
690C2—44no—
691C2—3442no—
692C2C2×#1458277811yescharacteristic
693C2#1914311811yescharacteristic
694C2#1914312511yescharacteristic
695C2#1914389911yescharacteristic
696C2#1914391011yescharacteristic
697C2#1914457311yescharacteristic
698C2#1914458411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#520C2
socleC23×C43C22×D4
prime radicalC2×#14583477C2
cosocleC22×C4×C43C24
hypercenterC2×#520D43
hypocenterC43#20915
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C22×#41 ◁ C2×#520

Complements

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

NH ≅ G/Ntype
2. C2×#14582898C2semidirect
3. C2×#14582893C2semidirect
4. C2×#14582866C2semidirect
5. #19134917C2semidirect
6. #19134912C2semidirect
7. #19134907C2semidirect
8. #19134902C2semidirect
9. #19134316C2semidirect
10. C2×#14582661C2semidirect
11. C2×C43×#520C2semidirect
16. #14583477C4semidirect
53. C2×#10621898C2×C4semidirect
70. #13063304C2×C4semidirect
73. #13063299C2×C4semidirect
78. C2×C4⋊Dic43C2×C4semidirect
110. #117×C43D4semidirect
116. C2×C4⋊C4×C43D4semidirect
341. C2×#520D43semidirect
397. C43#20915semidirect
445. #117C22⋊D43semidirect
456. C2×C4⋊C4C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145834772
C2×#145828982
C2×#145828932
C2×#145828662
#191349172
#191349122
#191349072
#191349022
#191343162
C2×#145826612
C2×C43×#5202
#2091543