Finite Group Databasebeta

← C4×#14583710 #25960826

Subgroups — C4×#14583710 #25960826

Order 11008.

2742 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583710C211yesmaximal, characteristic
2C4×#13063372C211yesmaximal, characteristic, complemented
3#19143476C213yesmaximal, complemented
4#19143452C213yesmaximal, complemented
5#19143434C213yesmaximal, complemented
6#19143427C213yesmaximal, complemented
7C4×#13063355C213yesmaximal, complemented
8C4×#13063351C213yesmaximal, complemented
9C4×#13063345C213yesmaximal, complemented
10C2×C4×#10621883C213yesmaximal, complemented
11#19143188C211yesmaximal, characteristic, complemented
12#19143125C211yesmaximal, characteristic, complemented
13#19143121C211yesmaximal, characteristic, complemented
14C4×#13063332C211yesmaximal, characteristic, complemented
15C4×H(5,𝔽2)×C43C211yesmaximal, characteristic, complemented
16C2×#13063372C2211yescharacteristic
17#14583710C4116yesdirect product factor
18C2×#13063355C2213yes—
19C2×#13063351C2213yes—
20C2×#13063345C2213yes—
21C22×#10621883C2213yes—
22C2×#13063332C2211yescharacteristic
23C2×#13063332C2211yescharacteristic
24#14583382C2211yescharacteristic
25#14583379C2213yescomplemented
26#14583378—23no—
27#14583376C2213yescomplemented
28#14583375—21no—
29C4×#10621898C2213yescomplemented
30C4×#10621900—23no—
31C2×C4×Dic86C2213yescomplemented
32C4×Q8×D43—21no—
33#14583009C2216yescomplemented
34#14583004C2216yescomplemented
35#14582999C2216yescomplemented
36#14582999C2216yescomplemented
37C4×#10621885C2213yescomplemented
38C4×#10621885C2213yescomplemented
39C4×#10621884C2213yescomplemented
40C4×#10621884C2211yescharacteristic, complemented
41C4×#10621883C2216yescomplemented
42C4×#10621883C2213yescomplemented
43C4×#10621883C2216yescomplemented
44C4×#10621883C2213yescomplemented
45C4×#10621883C2216yescomplemented
46C4×#10621882C2213yescomplemented
47C4×#10621882C2213yescomplemented
48#14582942C2213yescomplemented
49#14582939C2213yescomplemented
50#14582935C2213yescomplemented
51C2×#13063256C2213yescomplemented
52#14582907C2213yescomplemented
53#14582904C2213yes—
54#14582900C2213yes—
55#14582898C2213yescomplemented
56#14582895C2213yes—
57#14582893C2213yescomplemented
58C2×#13063248C2213yescomplemented
59C2×#13063246C2213yes—
60#14582855C2213yescomplemented
61#14582855C2213yescomplemented
62C4×#10621877C2213yescomplemented
63C2×C4×C43⋊C8C2213yescomplemented
64C2×H(5,𝔽2)×C43C2211yescharacteristic
65C43×#520—21no—
66C43×#520C2213yes—
67C43×#520C2211yescharacteristic
68C43×#518—23no—
69C43×#518C2213yes—
70C4×#41×C43—21no—
71C4×#41×C43C2213yes—
72C4×#41×C43C2211yescharacteristic
73C2×C4×D4×C43—23no—
74C2×C4×D4×C43C2213yes—
75#13063372—24no—
76#13063372C2×C418yescomplemented
77C2×#10621898C2313yes—
78C2×#10621900—23no—
79C22×Dic86C2313yes—
80C2×Q8×D43—21no—
81#13063355C2×C4124yescomplemented
82#13063351C2×C4124yescomplemented
83#13063345C2×C4124yescomplemented
84C2×#10621885C2313yes—
85C2×#10621883C2×C4124yescomplemented
86C2×#10621883C2313yes—
87C2×#10621883C2316yes—
88C2×#10621884C2311yescharacteristic
89C2×#10621882C2313yes—
90#13063332—24no—
91#13063332C2×C418yescomplemented
92C2×#10621877C2313yes—
93C2×#10621877C2313yes—
94C22×C43⋊C8C2313yes—
95C22×C43⋊C8C2313yes—
96Q8×Dic43—21no—
97C4×Dic86—23no—
98C4×Dic86—23no—
99C4×Dic86C2313yes—
100C4×Dic86C2316yes—
101C4×Dic86C2313yes—
102#13063290—23no—
103#13063290—23no—
104C4×D172C2311yescharacteristic
105C4×D172C2313yes—
106D4×Dic43—23no—
107C4×C22⋊D43—23no—
108C4×C22⋊D43—23no—
109(C22⋊D43)⋊C4—26no—
110#13063284C2313yes—
111#13063283—23no—
112#13063282—23no—
113#13063281—26no—
114C2×C4⋊Dic43C2313yes—
115C2×Dic43⋊C4—23no—
116C4⋊C4×D43—23no—
117C2×C4×Dic43—23no—
118C42×D43—23no—
119#13063258C2313yes—
120#13063258C2313yes—
121#13063256C2313yes—
122#13063256C2316yes—
123#13063256C2311yescharacteristic
124#13063249C2311yescharacteristic
125#13063249C2313yes—
126#13063248C2313yes—
127#13063248C2316yes—
128#13063248C2313yes—
129#13063246C2313yes—
130#13063246C2316yes—
131#13063246C2313yes—
132#13063245C2311yescharacteristic
133#13063245C2313yes—
134#13063236C2316yes—
135C4×C43⋊C8C2311yescharacteristic
136C4×C43⋊C8C2313yes—
137C4×C43⋊C8C2313yes—
138C4×C43⋊C8C2313yes—
139H(5,𝔽2)×C43—24no—
140H(5,𝔽2)×C43C2×C418yescomplemented
141C2×#41×C43—21no—
142C2×#41×C43C2313yes—
143C2×#41×C43C2311yescharacteristic
144C22×D4×C43—23no—
145C22×D4×C43C2313yes—
146C23×C4×C43—23no—
147C4×Q8×C43—21no—
148C4×Q8×C43D411yescharacteristic
149C4×Q8×C43D411yescharacteristic
150C4×Q8×C43C2311yescharacteristic
151C4×Q8×C43C2313yes—
152C4×D4×C43—23no—
153C4×D4×C43—23no—
154C4×D4×C43—23no—
155C4×D4×C43—23no—
156C4×D4×C43—23no—
157C4×D4×C43—26no—
158C4×D4×C43—23no—
159C4×D4×C43—23no—
160C4×D4×C43D413yes—
161C4×D4×C43D413yes—
162C4×D4×C43C2313yes—
163C4×D4×C43C2316yes—
164C4×D4×C43C2313yes—
165#117×C43—23no—
166#117×C43—23no—
167#117×C43C2313yes—
168#117×C43C2313yes—
169C2×C4⋊C4×C43—23no—
170C2×C4⋊C4×C43C2313yes—
171C2×C22⋊C4×C43—23no—
172C2×C22⋊C4×C43—26no—
173C2×C42×C43—23no—
174C2×C42×C43C2313yes—
175C24×C43—23no—
176#41×C43—28no—
177#41×C43—26no—
178#41×C43C22×C4112yes—
179#41×C43C22×C414yes—
180#41×C43#4114yes—
181C2×Q8×C43C2×D411yescharacteristic
182C2×Q8×C43C2411yescharacteristic
183C2×D4×C43—224no—
184C2×D4×C43—23no—
185C2×D4×C43—26no—
186C2×D4×C43—23no—
187C2×D4×C43C22×C4112yes—
188C2×D4×C43C2×D413yes—
189C2×D4×C43C2413yes—
190C22×C4×C43—23no—
191C22×C4×C43—23no—
192C22×C4×C43—23no—
193C22×C4×C43—26no—
194C22×C4×C43—23no—
195C22×C4×C43—86no—
196C22×C4×C43C2×D413yes—
197C22×C4×C43C2×D413yes—
198C22×C4×C43C2413yes—
199C2×C22⋊D43—23no—
200C22×Dic43—23no—
201C22×Dic43—23no—
202Q8×D43—28no—
203#10621900—224no—
204#10621898—26no—
205#10621898C22×C4112yescomplemented
206C2×D172C2411yescharacteristic
207C2×C4×D43—23no—
208C2×C4×D43—21no—
209C2×C4×D43—23no—
210C2×Dic86—23no—
211C2×Dic86—26no—
212C2×Dic86C22×C4112yescomplemented
213C2×Dic86C2413yes—
214C4⋊C4×C43—23no—
215C4⋊C4×C43—23no—
216C4⋊C4×C43—21no—
217C4⋊C4×C43C2×D413yes—
218C4⋊C4×C43C2×D413yes—
219C4⋊C4×C43C2413yes—
220C4⋊C4×C43C2411yescharacteristic
221C22⋊C4×C43—23no—
222C22⋊C4×C43—26no—
223C22⋊C4×C43—23no—
224C22⋊C4×C43—23no—
225C22⋊C4×C43C2×D416yes—
226C42×C43—21no—
227C42×C43—23no—
228C42×C43—23no—
229C42×C43C2×D413yes—
230C42×C43C2×D413yes—
231C42×C43C2411yescharacteristic
232C42×C43C2413yes—
233C22⋊Dic43—23no—
234#10621885C22×C4112yescomplemented
235#10621884C22×C414yescomplemented
236#10621883C22×C4112yescomplemented
237#10621883C22×C4124yescomplemented
238#10621882C22×C4112yescomplemented
239(C2×D43)⋊C4—21no—
240(C2×D43)⋊C4—23no—
241C4⋊Dic43—23no—
242C4⋊Dic43C2413yes—
243C4⋊Dic43C2411yescharacteristic
244Dic43⋊C4—26no—
245Dic43⋊C4—23no—
246Dic43⋊C4—23no—
247C4×Dic43—23no—
248C4×Dic43—23no—
249C4×Dic43—23no—
250C4×Dic43—26no—
251#10621877—26no—
252#10621877C22×C4112yescomplemented
253C2×C43⋊C8—26no—
254C2×C43⋊C8C22×C4112yescomplemented
255C2×C43⋊C8C2411yescharacteristic
256C2×C43⋊C8C2413yes—
257C2×C43⋊C8C2411yescharacteristic
258C2×C43⋊C8C2413yes—
259C23×C43—23no—
260C23×C43—212no—
261C23×C43—83no—
262C23×C43—83no—
263C23×C43C22×D413yes—
264C22×D43—21no—
265Q8×C43—21no—
266Q8×C43C4×D414yes—
267Q8×C43C23×C412yes—
268D4×C43—212no—
269D4×C43—212no—
270D4×C43—23no—
271D4×C43C4×D4112yes—
272D4×C43C23×C416yes—
273C2×C4×C43—21no—
274C2×C4×C43—212no—
275C2×C4×C43—26no—
276C2×C4×C43—21no—
277C2×C4×C43—23no—
278C2×C4×C43—43no—
279C2×C4×C43—46no—
280C2×C4×C43—83no—
281C2×C4×C43—86no—
282C2×C4×C43—83no—
283C2×C4×C43C23×C416yes—
284C2×C4×C43C22×D413yes—
285C2×C4×C43C22×D413yes—
286C2×C4×C43C22×D411yescharacteristic
287C2×C4×C43C22×D413yes—
288C2×C4×C43C22×D411yescharacteristic
289C2×C4×C43C2×#4116yes—
290C2×C4×C43C2511yescharacteristic
291C22⋊D43—212no—
292C2×Dic43—212no—
293C2×Dic43—23no—
294C2×Dic43—21no—
295C2×Dic43—23no—
296C2×Dic43—83no—
297D172—21no—
298D172C23×C412yes—
299C4×D43—212no—
300C4×D43—42no—
301C4×D43—83no—
302Dic86—212no—
303Dic86—23no—
304Dic86C23×C416yes—
305C43⋊C8—21no—
306C43⋊C8—23no—
307C43⋊C8C23×C412yes—
308C43⋊C8C23×C416yes—
309C4×#577—431nomaximal, Sylow
310C22×C43—23no—
311C22×C43—23no—
312C22×C43—26no—
313C22×C43—43no—
314C22×C43—43no—
315C22×C43—812no—
316C22×C43C2×C4×D416yes—
317C22×C43C23×D411yescharacteristic
318C2×D43—22no—
319C2×D43—41no—
320C2×D43—41no—
321C4×C43—23no—
322C4×C43—21no—
323C4×C43—22no—
324C4×C43—23no—
325C4×C43—41no—
326C4×C43—43no—
327C4×C43C2×C4×D416yes—
328C4×C43#57712yescomplemented
329C4×C43C24×C411yescharacteristic
330C4×C43C22×#4111yescharacteristic
331Dic43—26no—
332Dic43—43no—
333Dic43—41no—
334C2×#577—431no—
335C4×2−1+4—431no—
336C4×H(5,𝔽2)D4311yescharacteristic, complemented
337#2952—433no—
338#2949—433no—
339#2947—433no—
340#2946—433no—
341C4×#137—433no—
342C4×AGL(1,ℤ/8)—433no—
343C4×#135—433no—
344C2×C4×SD16—433no—
345#2912—431no—
346#2898—431no—
347#2897—431no—
348C4×#131—431no—
349C2×C43—26no—
350C2×C43—46no—
351C2×C43C22×C4×D411yescharacteristic
352C2×C43C2×#57711yescharacteristic
353C2×C43#358411yescharacteristic
354D43—42no—
355C2×2−1+4—431no—
356C2×H(5,𝔽2)C2×D4311yescharacteristic
357#577—4316no—
358C2×#137—433no—
359C2×AGL(1,ℤ/8)—433no—
360C2×#135—433no—
361C22×SD16—433no—
362C2×#131—431no—
363C2×#131—431no—
364#520—21no—
365#520—431no—
366#520—433no—
367#520—863no—
368#520C2×D4313yes—
369#520C2×D4311yescharacteristic
370#519—433no—
371#519—861no—
372#518—23no—
373#518C2×D4313yes—
374C4×#41—21no—
375C4×#41—433no—
376C4×#41—863no—
377C4×#41C2×D4313yes—
378C4×#41C2×D4311yescharacteristic
379C2×C4×Q8—433no—
380C2×C4×Q8—861no—
381C2×C4×D4—23no—
382C2×C4×D4C2×D4313yes—
383#442—436no—
384#441—436no—
385#440—436no—
386#440—436no—
387C4×Q16—433no—
388C4×Q16—433no—
389C4×SD16—431no—
390C4×SD16—433no—
391C4×SD16—433no—
392C4×SD16—436no—
393C4×SD16—436no—
394C4×SD16—436no—
395C4×SD16—433no—
396C4×D8—433no—
397C4×D8—433no—
398#428—433no—
399#428—433no—
400#427—433no—
401C2×#106—433no—
402#419—433no—
403#418—433no—
404#417—433no—
405#417—433no—
406#416—433no—
407#416—433no—
408C2×#103—433no—
409C2×#102—433no—
410#405—433no—
411#405—433no—
412C4×M16—433no—
413C2×C4×C8—433no—
414C43C4×#57711yescharacteristic, complemented, Sylow
4152−1+4—438no—
4162−1+4—864no—
417H(5,𝔽2)—24no—
418H(5,𝔽2)C4×D4318yescomplemented
419C2×#41—21no—
420C2×#41—433no—
421C2×#41—863no—
422C2×#41C22×D4313yes—
423C2×#41C22×D4311yescharacteristic
424C22×Q8—433no—
425C22×Q8—861no—
426C22×D4—23no—
427C22×D4C22×D4313yes—
428C23×C4—23no—
429#137—4324no—
430AGL(1,ℤ/8)—4324no—
431#135—4324no—
432C2×Q16—433no—
433C2×SD16—431no—
434C2×SD16—4324no—
435C2×SD16—433no—
436C2×SD16—436no—
437C2×D8—433no—
438#131—438no—
439#131—864no—
440C2×M16—433no—
441C2×M16—433no—
442C22×C8—433no—
443C22×C8—433no—
444C4×Q8—21no—
445C4×Q8—433no—
446C4×Q8—436no—
447C4×Q8—433no—
448C4×Q8—861no—
449C4×Q8—863no—
450C4×Q8—863no—
451C4×Q8—863no—
452C4×Q8—863no—
453C4×Q8C22⋊D4311yescharacteristic
454C4×Q8C22⋊D4311yescharacteristic
455C4×Q8C22×D4311yescharacteristic
456C4×Q8C22×D4313yes—
457C4×D4—23no—
458C4×D4—23no—
459C4×D4—23no—
460C4×D4—23no—
461C4×D4—23no—
462C4×D4—26no—
463C4×D4—23no—
464C4×D4—23no—
465C4×D4—431no—
466C4×D4—433no—
467C4×D4—863no—
468C4×D4—863no—
469C4×D4—863no—
470C4×D4—866no—
471C4×D4C22⋊D4313yes—
472C4×D4C22⋊D4313yes—
473C4×D4C22×D4313yes—
474C4×D4C22×D4316yes—
475C4×D4C22×D4313yes—
476#117—23no—
477#117—23no—
478#117—433no—
479#117—863no—
480#117—866no—
481#117—863no—
482#117C22×D4313yes—
483#117C22×D4313yes—
484C2×C4⋊C4—23no—
485C2×C4⋊C4—433no—
486C2×C4⋊C4—863no—
487C2×C4⋊C4—863no—
488C2×C4⋊C4C22×D4313yes—
489C2×C22⋊C4—23no—
490C2×C22⋊C4—26no—
491C2×C42—23no—
492C2×C42—863no—
493C2×C42—863no—
494C2×C42C22×D4313yes—
495#107—433no—
496#107—433no—
497#106—433no—
498#106—436no—
499#106—431no—
500#103—431no—
501#103—433no—
502#103—433no—
503#103—436no—
504#103—433no—
505#102—433no—
506#102—436no—
507#102—433no—
508#102—431no—
509#102—433no—
510#97—436no—
511C4×C8—431no—
512C4×C8—433no—
513C4×C8—433no—
514C4×C8—433no—
515C24—23no—
516#41—28no—
517#41—26no—
518#41—4312no—
519#41—8624no—
520#41—866no—
521#41C2×C4×D43112yes—
522#41C2×C4×D4314yes—
523#41#1062189814yes—
524C2×Q8—4312no—
525C2×Q8—433no—
526C2×Q8—868no—
527C2×Q8—863no—
528C2×Q8—866no—
529C2×Q8C2×C22⋊D4311yescharacteristic
530C2×Q8C23×D4311yescharacteristic
531C2×D4—23no—
532C2×D4—224no—
533C2×D4—23no—
534C2×D4—26no—
535C2×D4—431no—
536C2×D4—863no—
537C2×D4C2×C4×D43112yes—
538C2×D4C2×C22⋊D4313yes—
539C2×D4C23×D4313yes—
540C22×C4—23no—
541C22×C4—23no—
542C22×C4—23no—
543C22×C4—23no—
544C22×C4—26no—
545C22×C4—86no—
546C22×C4—863no—
547C22×C4—863no—
548C22×C4—863no—
549C22×C4—863no—
550C22×C4—861no—
551C22×C4C2×C22⋊D4313yes—
552C22×C4C2×C22⋊D4313yes—
553C22×C4C23×D4313yes—
554Q16—4312no—
555SD16—434no—
556SD16—4312no—
557SD16—4324no—
558D8—4312no—
559M16—4312no—
560M16—866no—
561C2×C8—4312no—
562C2×C8—431no—
563C2×C8—433no—
564C2×C8—431no—
565C2×C8—433no—
566C2×C8—866no—
567C4⋊C4—23no—
568C4⋊C4—23no—
569C4⋊C4—21no—
570C4⋊C4—433no—
571C4⋊C4—431no—
572C4⋊C4—863no—
573C4⋊C4—866no—
574C4⋊C4—863no—
575C4⋊C4—863no—
576C4⋊C4C2×C22⋊D4313yes—
577C4⋊C4C2×C22⋊D4313yes—
578C4⋊C4C23×D4313yes—
579C4⋊C4C23×D4311yescharacteristic
580C22⋊C4—23no—
581C22⋊C4—23no—
582C22⋊C4—26no—
583C22⋊C4—23no—
584C22⋊C4—863no—
585C22⋊C4—861no—
586C22⋊C4—863no—
587C22⋊C4C2×C22⋊D4316yes—
588C42—23no—
589C42—23no—
590C42—21no—
591C42—863no—
592C42—863no—
593C42—866no—
594C42—863no—
595C42C2×C22⋊D4313yes—
596C42C2×C22⋊D4313yes—
597C42C23×D4313yes—
598C42C23×D4311yescharacteristic
599C23—23no—
600C23—212no—
601C23—83no—
602C23—83no—
603C23—861no—
604C23C22×C22⋊D4313yes—
605Q8—21no—
606Q8—436no—
607Q8—8612no—
608Q8—863no—
609Q8C4×C22⋊D4314yes—
610Q8C22×C4×D4312yes—
611D4—212no—
612D4—212no—
613D4—23no—
614D4—432no—
615D4—8612no—
616D4—861no—
617D4C4×C22⋊D43112yes—
618D4C22×C4×D4316yes—
619C2×C4—21no—
620C2×C4—212no—
621C2×C4—26no—
622C2×C4—21no—
623C2×C4—23no—
624C2×C4—43no—
625C2×C4—46no—
626C2×C4—86no—
627C2×C4—83no—
628C2×C4—83no—
629C2×C4—8612no—
630C2×C4—863no—
631C2×C4—8612no—
632C2×C4—861no—
633C2×C4—863no—
634C2×C4—3443no—
635C2×C4—3443no—
636C2×C4—1722no—
637C2×C4C22×C4×D4316yes—
638C2×C4C22×C22⋊D4313yes—
639C2×C4C22×C22⋊D4313yes—
640C2×C4C22×C22⋊D4311yescharacteristic
641C2×C4C22×C22⋊D4313yes—
642C2×C4C22×C22⋊D4311yescharacteristic
643C2×C4C2×#1062189816yes—
644C2×C4C24×D4311yescharacteristic
645C8—432no—
646C8—436no—
647C8—861no—
648C8—863no—
649C22—23no—
650C22—23no—
651C22—26no—
652C22—43no—
653C22—43no—
654C22—812no—
655C22—862no—
656C22—1721no—
657C22—1721no—
658C22C2×C4×C22⋊D4316yes—
659C22C23×C22⋊D4311yescharacteristic
660C4—23no—
661C4—21no—
662C4—23no—
663C4—22no—
664C4—43no—
665C4—41no—
666C4—866no—
667C4—1721no—
668C4—1723no—
669C4C2×C4×C22⋊D4316yes—
670C4#1458371012yesdirect product factor
671C4C23×C4×D4311yescharacteristic
672C4C22×#1062189811yescharacteristic
673C2—26no—
674C2—46no—
675C2—1722no—
676C2C22×C4×C22⋊D4311yescharacteristic
677C2C2×#1458371011yescharacteristic
678C2#1914936611yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC4×H(5,𝔽2)×C43C2
socleC22×C43C23×D4
prime radicalC2×#14583710C2
cosocleC2×C4×C43C25
hypercenterC4×H(5,𝔽2)D43
hypocenterC43C4×#577
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ C4×H(5,𝔽2)

Complements

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

NH ≅ G/Ntype
2. C4×#13063372C2semidirect
3. #19143476C2semidirect
4. #19143452C2semidirect
5. #19143434C2semidirect
6. #19143427C2semidirect
7. C4×#13063355C2semidirect
8. C4×#13063351C2semidirect
9. C4×#13063345C2semidirect
10. C2×C4×#10621883C2semidirect
11. #19143188C2semidirect
12. #19143125C2semidirect
13. #19143121C2semidirect
14. C4×#13063332C2semidirect
15. C4×H(5,𝔽2)×C43C2semidirect
17. #14583710C4direct (N × H)
25. #14583379C22semidirect
27. #14583376C22semidirect
29. C4×#10621898C22semidirect
31. C2×C4×Dic86C22semidirect
33. #14583009C22semidirect
34. #14583004C22semidirect
35. #14582999C22semidirect
36. #14582999C22semidirect
37. C4×#10621885C22semidirect
38. C4×#10621885C22semidirect
39. C4×#10621884C22semidirect
40. C4×#10621884C22semidirect
41. C4×#10621883C22semidirect
42. C4×#10621883C22semidirect
43. C4×#10621883C22semidirect
44. C4×#10621883C22semidirect
45. C4×#10621883C22semidirect
46. C4×#10621882C22semidirect
47. C4×#10621882C22semidirect
48. #14582942C22semidirect
49. #14582939C22semidirect
50. #14582935C22semidirect
51. C2×#13063256C22semidirect
52. #14582907C22semidirect
55. #14582898C22semidirect
57. #14582893C22semidirect
58. C2×#13063248C22semidirect
60. #14582855C22semidirect
61. #14582855C22semidirect
62. C4×#10621877C22semidirect
63. C2×C4×C43⋊C8C22semidirect
76. #13063372C2×C4semidirect
81. #13063355C2×C4semidirect
82. #13063351C2×C4semidirect
83. #13063345C2×C4semidirect
85. C2×#10621883C2×C4semidirect
91. #13063332C2×C4semidirect
140. H(5,𝔽2)×C43C2×C4semidirect
205. #10621898C22×C4semidirect
212. C2×Dic86C22×C4semidirect
234. #10621885C22×C4semidirect
235. #10621884C22×C4semidirect
236. #10621883C22×C4semidirect
237. #10621883C22×C4semidirect
238. #10621882C22×C4semidirect
252. #10621877C22×C4semidirect
254. C2×C43⋊C8C22×C4semidirect
328. C4×C43#577semidirect
336. C4×H(5,𝔽2)D43semidirect
414. C43C4×#577semidirect
418. H(5,𝔽2)C4×D43semidirect
670. C4#14583710direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145837102
C4×#130633722
#191434762
#191434522
#191434342
#191434272
C4×#130633552
C4×#130633512
C4×#130633452
C2×C4×#106218832
#191431882
#191431252
#191431212
C4×#130633322
C4×H(5,𝔽2)×C432
C4×#57743