Finite Group Databasebeta

← Q8×SD16×D43 #25977013

Subgroups — Q8×SD16×D43 #25977013

Order 11008.

2058 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q82×D43C211yesmaximal, characteristic, complemented
2D4×Q8×D43C211yesmaximal, characteristic
3Q8×#10621873C211yesmaximal, characteristic, complemented
4Q8×#10621883C211yesmaximal, characteristic, complemented
5#19147454C213yesmaximal, complemented
6SD16×Dic86C213yesmaximal, complemented
7#19147452C213yesmaximal, complemented
8Q8×#10621884C211yesmaximal, characteristic, complemented
9#19147450C213yesmaximal, complemented
10#498×D43C213yesmaximal, complemented
11#475×D43C213yesmaximal, complemented
12#476×D43C213yesmaximal
13C8×Q8×D43C211yesmaximal, characteristic, complemented
14C4×SD16×D43C213yesmaximal
15Q8×SD16×C43C211yesmaximal, characteristic, complemented
16C22×Q8×D43—21no—
17C2×SD16×D43C2211yescharacteristic
18Q8×Dic86—21no—
19Q8×Dic86C2213yescomplemented
20Q8×Dic86C2211yescharacteristic, complemented
21#14583629—23no—
22#14583629C2213yescomplemented
23Q8×D172C2211yescharacteristic
24D4×Dic86C2213yes—
25#14583564C2213yes—
26Q8×C22⋊D43—21no—
27#14583562—23no—
28C4⋊Q8×D43—23no—
29C4⋊Q8×D43C2213yes—
30C4⋊Q8×D43C2213yes—
31C22⋊Q8×D43—23no—
32C4×Q8×D43—21no—
33C4×Q8×D43C2213yes—
34C4×Q8×D43C2211yescharacteristic
35C4×D4×D43C2213yes—
36#14583297C2213yescomplemented
37#14583296C2216yescomplemented
38#14583296C2216yescomplemented
39#14583295C2213yescomplemented
40#14583295C2213yescomplemented
41#14583190C2213yes—
42#14583189C2213yes—
43#14583188C2216yes—
44#14583187C2216yes—
45#14583186C2213yes—
46#14583185C2213yescomplemented
47#14583184C2213yescomplemented
48#14583183C2216yescomplemented
49#14583182C2216yescomplemented
50#14583181C2213yescomplemented
51Q8×C43⋊C8C2211yescharacteristic, complemented
52C8×Dic86C2213yescomplemented
53#14583023C2213yescomplemented
54#14582990C2213yes—
55C4×#10621873C2213yes—
56SD16×Dic43C2213yes—
57C4×#10621884C2213yes—
58#14582986C2213yes—
59C4×#10621883C2213yes—
60#14582984C2213yes—
61#106×D43C2213yes—
62#106×D43C2216yes—
63C4⋊C8×D43C2213yes—
64#103×D43C2213yes—
65#102×D43C2213yes—
66C4×C8×D43C2213yes—
67Q82×C43C2211yescharacteristic, complemented
68D4×Q8×C43C2211yescharacteristic
69C43×#498C2213yescomplemented
70C43×#476C2213yes—
71C43×#475C2213yescomplemented
72C8×Q8×C43C2211yescharacteristic, complemented
73C4×SD16×C43C2213yes—
74C22×Dic86—23no—
75C2×Q8×D43—21no—
76C2×Q8×D43—23no—
77C2×Q8×D43—23no—
78C2×Q8×D43—23no—
79C2×Q8×D43—48no—
80C2×Q8×D43D411yescharacteristic
81C2×Q8×D43C2311yescharacteristic
82C2×D4×D43C2311yescharacteristic
83C22×C4×D43—23no—
84C2×#10621873C2311yescharacteristic
85C2×#10621883C2311yescharacteristic
86C2×#10621884C2311yescharacteristic
87SD16×D43Q818yesdirect product factor
88C2×C8×D43C2313yes—
89C2×C8×D43C2311yescharacteristic
90#13063325—23no—
91#13063325C2313yes—
92#13063325C2313yes—
93#13063324—23no—
94#13063324—23no—
95#13063324—26no—
96#13063324—23no—
97#13063324—23no—
98#13063324C2316yes—
99#13063324C2316yes—
100#13063323—26no—
101#13063323—23no—
102#13063323—23no—
103#13063305—23no—
104#13063304—23no—
105#13063303—26no—
106#13063302—26no—
107#13063301—23no—
108Q8×Dic43—21no—
109Q8×Dic43D411yescharacteristic
110Q8×Dic43C2313yes—
111C4×Dic86—23no—
112C4×Dic86—23no—
113C4×Dic86C2313yes—
114C4×Dic86C2313yes—
115#13063290—23no—
116#13063290—23no—
117#13063290D413yes—
118#13063290C2313yes—
119C4×D172C2313yes—
120D4×Dic43C2313yes—
121#13063287C2313yes—
122C4×C22⋊D43—23no—
123(C22⋊D43)⋊C4—23no—
124C4⋊C4×D43—23no—
125C4⋊C4×D43—23no—
126C4⋊C4×D43—23no—
127C4⋊C4×D43D413yes—
128C4⋊C4×D43C2313yes—
129C4⋊C4×D43C2313yes—
130C22⋊C4×D43—23no—
131C42×D43—23no—
132C42×D43C2313yes—
133#13063257C2313yes—
134#13063257C2316yes—
135#13063256C2313yes—
136#13063256C2313yes—
137#13063256C2316yes—
138#13063256C2316yes—
139C4⋊(C43⋊C8)C2313yes—
140Dic43⋊C8C2316yes—
141#13063250C2313yes—
142#13063249C2313yes—
143#13063248C2313yes—
144#13063247C2313yes—
145#13063246C2313yes—
146#13063245C2313yes—
147C4×C43⋊C8C2313yes—
148C8×Dic43C2313yes—
149C8×Dic43C2313yes—
150C22×Q8×C43—21no—
151C2×SD16×C43C2311yescharacteristic
152C4⋊Q8×C43—23no—
153C4⋊Q8×C43C2313yes—
154C4⋊Q8×C43C2313yes—
155C22⋊Q8×C43—23no—
156C4×Q8×C43—21no—
157C4×Q8×C43C2313yes—
158C4×Q8×C43C2311yescharacteristic
159C4×D4×C43C2313yes—
160#106×C43C2313yes—
161#106×C43C2316yes—
162C4⋊C8×C43C2313yes—
163#103×C43C2313yes—
164#102×C43C2313yes—
165C4×C8×C43C2313yes—
166C23×D43—21no—
167C2×Q8×C43—23no—
168C2×Q8×C43—23no—
169C2×Q8×C43—44no—
170C2×Q8×C43C2×D411yescharacteristic
171C2×Q8×C43C2411yescharacteristic
172C2×D4×C43C2411yescharacteristic
173C22×C4×C43—23no—
174C2×C22⋊D43—21no—
175C22×Dic43—23no—
176Q8×D43—22no—
177Q8×D43—44no—
178Q8×D43—412no—
179Q8×D43—412no—
180Q8×D43—86no—
181Q8×D43SD1618yesdirect product factor
182Q8×D43C2×Q814yescomplemented
183D4×D43—22no—
184D4×D43C2×Q814yes—
185C2×D172C2411yescharacteristic
186C2×C4×D43—23no—
187C2×C4×D43—23no—
188C2×C4×D43—21no—
189C2×C4×D43—23no—
190C2×C4×D43—23no—
191C2×C4×D43—412no—
192C2×C4×D43C2×D413yes—
193C2×C4×D43C2×D413yes—
194C2×C4×D43C2411yescharacteristic
195C2×Dic86—21no—
196C2×Dic86—23no—
197C2×Dic86—26no—
198C2×Dic86—23no—
199C2×Dic86—26no—
200C2×Dic86—412no—
201C2×Dic86C2×D413yes—
202C2×Dic86C2411yescharacteristic
203SD16×C43C2×Q814yescomplemented
204C2×C8×C43C2413yes—
205C2×C8×C43C2411yescharacteristic
206C4⋊C4×C43—23no—
207C4⋊C4×C43—23no—
208C4⋊C4×C43—23no—
209C4⋊C4×C43C2×D413yes—
210C4⋊C4×C43C2413yes—
211C4⋊C4×C43C2413yes—
212C22⋊C4×C43—23no—
213C42×C43—23no—
214C42×C43C2413yes—
215C22⋊Dic43—23no—
216#10621884C2×Q814yescomplemented
217#10621883C2×Q814yescomplemented
218(C2×D43)⋊C4—23no—
219(C2×D43)⋊C4—23no—
220C4⋊Dic43—23no—
221C4⋊Dic43—23no—
222C4⋊Dic43—23no—
223C4⋊Dic43C2×D413yes—
224C4⋊Dic43C2413yes—
225C4⋊Dic43C2413yes—
226Dic43⋊C4—23no—
227Dic43⋊C4—26no—
228Dic43⋊C4—23no—
229Dic43⋊C4—26no—
230Dic43⋊C4—23no—
231Dic43⋊C4—23no—
232Dic43⋊C4C2×D416yes—
233C4×Dic43—23no—
234C4×Dic43—23no—
235C4×Dic43—23no—
236C4×Dic43C2×D413yes—
237C4×Dic43C2×D413yes—
238C4×Dic43C2413yes—
239C2×C43⋊C8C2413yes—
240C2×C43⋊C8C2411yescharacteristic
241#10621873C2×Q814yescomplemented
242C8×D43—26no—
243C8×D43C2×Q814yescomplemented
244C23×C43—21no—
245C22×D43—21no—
246C22×D43—24no—
247C22×D43—42no—
248C22×D43—42no—
249C22×D43C22×D411yescharacteristic
250Q8×C43—21no—
251Q8×C43—46no—
252Q8×C43—83no—
253Q8×C43C2×SD1614yescomplemented
254Q8×C43C22×Q812yescomplemented
255D4×C43—21no—
256D4×C43C22×Q812yes—
257C2×C4×C43—21no—
258C2×C4×C43—23no—
259C2×C4×C43—23no—
260C2×C4×C43—46no—
261C2×C4×C43C22×D413yes—
262C2×C4×C43C22×D413yes—
263C2×C4×C43C2511yescharacteristic
264C22⋊D43—24no—
265C2×Dic43—21no—
266C2×Dic43—23no—
267C2×Dic43—23no—
268C2×Dic43—46no—
269C2×Dic43C22×D413yes—
270C2×Dic43C22×D411yescharacteristic
271C2×Dic43C22×D413yes—
272D172—21no—
273D172C22×Q812yes—
274C4×D43—24no—
275C4×D43—26no—
276C4×D43—46no—
277C4×D43—46no—
278C4×D43—46no—
279C4×D43—46no—
280C4×D43C2×SD16112yes—
281C4×D43C22×Q812yes—
282C4×D432−1+412yes—
283Dic86—21no—
284Dic86—24no—
285Dic86—46no—
286Dic86—412no—
287Dic86—86no—
288Dic86—83no—
289Dic86C2×SD16112yescomplemented
290Dic86C22×Q812yescomplemented
291C8×C43—23no—
292C8×C43C22×Q812yescomplemented
293C43⋊C8—23no—
294C43⋊C8C22×Q812yescomplemented
295C2×Q8×SD16—431nomaximal, Sylow
296C22×C43—22no—
297C22×C43—41no—
298C22×C43—41no—
299C22×C43C23×D411yescharacteristic
300C2×D43—22no—
301C2×D43—41no—
302C2×D43—41no—
303C2×D43—48no—
304C2×D43D4×Q812yes—
305C2×D43C22×SD1612yes—
306C2×D43#57712yes—
307C4×C43—22no—
308C4×C43—23no—
309C4×C43—43no—
310C4×C43—43no—
311C4×C43C22×SD1616yes—
312C4×C43C23×Q811yescharacteristic
313C4×C43C2×2−1+411yescharacteristic
314Dic43—22no—
315Dic43—23no—
316Dic43—43no—
317Dic43—43no—
318Dic43D4×Q812yes—
319Dic43C22×SD1616yes—
320C2×Q82—431no—
321C2×D4×Q8—431no—
322Q8×SD16—433no—
323Q8×SD16—433no—
324Q8×SD16—433no—
325Q8×SD16—431no—
326Q8×SD16—433no—
327Q8×SD16—431no—
328Q8×SD16—431no—
329Q8×SD16D4311yescharacteristic, direct product factor
330C2×#498—433no—
331C2×#475—433no—
332C2×#476—433no—
333C2×C8×Q8—431no—
334C2×C4×SD16—433no—
335C2×C43—42no—
336C2×C43C2×D4×Q811yescharacteristic
337C2×C43C23×SD1611yescharacteristic
338C2×C43C2×#57711yescharacteristic
339D43—42no—
340D43Q8×SD1614yesdirect product factor
341C23×Q8—861no—
342C22×SD16—431no—
343Q82—433no—
344Q82—433no—
345Q82—431no—
346Q82—861no—
347Q82—863no—
348Q82C2×D4311yescharacteristic, complemented
349D4×Q8—433no—
350D4×Q8—431no—
351D4×Q8—433no—
352D4×Q8—863no—
353D4×Q8—861no—
354D4×Q8C2×D4311yescharacteristic
355C2×C4⋊Q8—433no—
356C2×C4⋊Q8—433no—
357C2×C4⋊Q8—863no—
358C2×C22⋊Q8—863no—
359C2×C4×Q8—431no—
360C2×C4×Q8—433no—
361C2×C4×Q8—861no—
362C2×C4×D4—433no—
363#498—433no—
364#498—433no—
365#498—436no—
366#498—436no—
367#498—433no—
368#498C2×D4313yescomplemented
369#476—433no—
370#476—433no—
371#476—436no—
372#476—433no—
373#476—436no—
374#476C2×D4313yes—
375#475—433no—
376#475—433no—
377#475—436no—
378#475—433no—
379#475—436no—
380#475C2×D4313yescomplemented
381C8×Q8—431no—
382C8×Q8—433no—
383C8×Q8—433no—
384C8×Q8C2×D4311yescharacteristic, complemented
385C4×SD16—433no—
386C4×SD16—433no—
387C4×SD16—433no—
388C4×SD16—433no—
389C4×SD16—433no—
390C4×SD16—433no—
391C4×SD16—433no—
392C4×SD16C2×D4313yes—
393C2×#106—436no—
394C2×#106—433no—
395C2×C4⋊C8—433no—
396C2×#103—433no—
397C2×#102—433no—
398C2×C4×C8—433no—
399C43C2×Q8×SD1611yescharacteristic, complemented, Sylow
400C22×Q8—21no—
401C22×Q8—431no—
402C22×Q8—431no—
403C22×Q8—863no—
404C22×Q8—863no—
405C22×Q8—863no—
406C22×Q8—863no—
407C22×Q8—861no—
408C22×Q8—1728no—
409C22×D4—431no—
410C23×C4—863no—
411C2×SD16—431no—
412C2×SD16—431no—
413C2×SD16—438no—
414C2×SD16—431no—
415C2×SD16C22×D4311yescharacteristic
416C22×C8—431no—
417C22×C8—433no—
418C4⋊Q8—23no—
419C4⋊Q8—436no—
420C4⋊Q8—436no—
421C4⋊Q8—433no—
422C4⋊Q8—433no—
423C4⋊Q8—863no—
424C4⋊Q8—863no—
425C4⋊Q8—863no—
426C4⋊Q8—863no—
427C4⋊Q8—863no—
428C4⋊Q8—866no—
429C4⋊Q8—863no—
430C4⋊Q8—866no—
431C4⋊Q8—863no—
432C4⋊Q8C22×D4313yes—
433C4⋊Q8C22×D4313yes—
434C22⋊Q8—23no—
435C22⋊Q8—866no—
436C22⋊Q8—866no—
437C22⋊Q8—863no—
438C22⋊Q8—863no—
439C22⋊Q8—863no—
440C4×Q8—21no—
441C4×Q8—431no—
442C4×Q8—433no—
443C4×Q8—433no—
444C4×Q8—433no—
445C4×Q8—433no—
446C4×Q8—433no—
447C4×Q8—863no—
448C4×Q8—863no—
449C4×Q8—863no—
450C4×Q8—863no—
451C4×Q8—861no—
452C4×Q8C22×D4313yes—
453C4×Q8C22×D4311yescharacteristic
454C4×D4—433no—
455C4×D4—433no—
456C4×D4—433no—
457C4×D4—863no—
458C4×D4—863no—
459C4×D4C22×D4313yes—
460C2×C4⋊C4—433no—
461C2×C4⋊C4—433no—
462C2×C4⋊C4—433no—
463C2×C4⋊C4—863no—
464C2×C4⋊C4—863no—
465C2×C4⋊C4—863no—
466C2×C22⋊C4—863no—
467C2×C42—433no—
468C2×C42—863no—
469#106—433no—
470#106—436no—
471#106—433no—
472#106—433no—
473#106—436no—
474#106—436no—
475#106C22×D4313yes—
476#106C22×D4316yes—
477C4⋊C8—436no—
478C4⋊C8—433no—
479C4⋊C8C22×D4313yes—
480#103—433no—
481#103—433no—
482#103—433no—
483#103C22×D4313yes—
484#102—433no—
485#102—433no—
486#102—433no—
487#102C22×D4313yes—
488C4×C8—433no—
489C4×C8—433no—
490C4×C8—433no—
491C4×C8C22×D4313yes—
492C24—861no—
493C2×Q8—23no—
494C2×Q8—23no—
495C2×Q8—44no—
496C2×Q8—438no—
497C2×Q8—433no—
498C2×Q8—434no—
499C2×Q8—431no—
500C2×Q8—861no—
501C2×Q8—866no—
502C2×Q8—866no—
503C2×Q8—862no—
504C2×Q8—863no—
505C2×Q8—863no—
506C2×Q8—3446no—
507C2×Q8—17212no—
508C2×Q8—17212no—
509C2×Q8—17212no—
510C2×Q8—1724no—
511C2×Q8D4×D4311yescharacteristic
512C2×Q8C23×D4311yescharacteristic
513C2×D4—434no—
514C2×D4—431no—
515C2×D4—862no—
516C2×D4—861no—
517C2×D4C23×D4311yescharacteristic
518C22×C4—23no—
519C22×C4—433no—
520C22×C4—431no—
521C22×C4—433no—
522C22×C4—863no—
523C22×C4—861no—
524C22×C4—863no—
525C22×C4—863no—
526C22×C4—863no—
527C22×C4—863no—
528C22×C4—17212no—
529SD16—434no—
530SD16—434no—
531SD16—434no—
532SD16Q8×D4314yesdirect product factor
533C2×C8—431no—
534C2×C8—434no—
535C2×C8—433no—
536C2×C8—866no—
537C2×C8C23×D4313yes—
538C2×C8C23×D4311yescharacteristic
539C4⋊C4—23no—
540C4⋊C4—23no—
541C4⋊C4—23no—
542C4⋊C4—436no—
543C4⋊C4—433no—
544C4⋊C4—433no—
545C4⋊C4—433no—
546C4⋊C4—863no—
547C4⋊C4—863no—
548C4⋊C4—863no—
549C4⋊C4—863no—
550C4⋊C4—866no—
551C4⋊C4—866no—
552C4⋊C4—863no—
553C4⋊C4—863no—
554C4⋊C4—863no—
555C4⋊C4D4×D4313yes—
556C4⋊C4C23×D4313yes—
557C4⋊C4C23×D4313yes—
558C22⋊C4—23no—
559C22⋊C4—863no—
560C22⋊C4—863no—
561C22⋊C4—863no—
562C42—23no—
563C42—433no—
564C42—433no—
565C42—433no—
566C42—863no—
567C42—863no—
568C42—863no—
569C42C23×D4313yes—
570C23—21no—
571C23—431no—
572C23—864no—
573C23—861no—
574C23—1722no—
575C23—1722no—
576Q8—21no—
577Q8—46no—
578Q8—83no—
579Q8—4312no—
580Q8—432no—
581Q8—864no—
582Q8—861no—
583Q8—3443no—
584Q8—3446no—
585Q8—17212no—
586Q8—1726no—
587Q8SD16×D4314yesdirect product factor
588Q8C2×Q8×D4312yescomplemented
589D4—21no—
590D4—432no—
591D4—864no—
592D4—861no—
593D4C2×Q8×D4312yes—
594C2×C4—21no—
595C2×C4—23no—
596C2×C4—23no—
597C2×C4—46no—
598C2×C4—431no—
599C2×C4—433no—
600C2×C4—4312no—
601C2×C4—432no—
602C2×C4—432no—
603C2×C4—433no—
604C2×C4—866no—
605C2×C4—864no—
606C2×C4—861no—
607C2×C4—863no—
608C2×C4—863no—
609C2×C4—1726no—
610C2×C4—1726no—
611C2×C4—1726no—
612C2×C4—1726no—
613C2×C4—1726no—
614C2×C4C2×D4×D4313yes—
615C2×C4C2×D4×D4313yes—
616C2×C4C24×D4311yescharacteristic
617C8—23no—
618C8—432no—
619C8—863no—
620C8C2×Q8×D4312yescomplemented
621C22—22no—
622C22—41no—
623C22—41no—
624C22—432no—
625C22—432no—
626C22—432no—
627C22—862no—
628C22—1728no—
629C22—1721no—
630C22—1721no—
631C22C22×D4×D4311yescharacteristic
632C4—22no—
633C4—23no—
634C4—43no—
635C4—43no—
636C4—436no—
637C4—432no—
638C4—862no—
639C4—863no—
640C4—1723no—
641C4—1723no—
642C4C2×SD16×D4316yes—
643C4C22×Q8×D4311yescharacteristic
644C42−1+4×D4311yescharacteristic
645C2—42no—
646C2—434no—
647C2—1722no—
648C2D4×Q8×D4311yescharacteristic
649C2C22×SD16×D4311yescharacteristic
650C2#577×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingQ8×SD16×C43C2
socleC22×C43C23×D4
prime radicalC2×D4×D43C23
hypercenterQ8×SD16D43
hypocenterC43C2×Q8×SD16
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ Q8×SD16

Complements

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

NH ≅ G/Ntype
1. Q82×D43C2semidirect
3. Q8×#10621873C2semidirect
4. Q8×#10621883C2semidirect
5. #19147454C2semidirect
6. SD16×Dic86C2semidirect
7. #19147452C2semidirect
8. Q8×#10621884C2semidirect
9. #19147450C2semidirect
10. #498×D43C2semidirect
11. #475×D43C2semidirect
13. C8×Q8×D43C2semidirect
15. Q8×SD16×C43C2semidirect
19. Q8×Dic86C22semidirect
20. Q8×Dic86C22semidirect
22. #14583629C22semidirect
36. #14583297C22semidirect
37. #14583296C22semidirect
38. #14583296C22semidirect
39. #14583295C22semidirect
40. #14583295C22semidirect
46. #14583185C22semidirect
47. #14583184C22semidirect
48. #14583183C22semidirect
49. #14583182C22semidirect
50. #14583181C22semidirect
51. Q8×C43⋊C8C22semidirect
52. C8×Dic86C22semidirect
53. #14583023C22semidirect
67. Q82×C43C22semidirect
69. C43×#498C22semidirect
71. C43×#475C22semidirect
72. C8×Q8×C43C22semidirect
87. SD16×D43Q8direct (N × H)
181. Q8×D43SD16direct (N × H)
182. Q8×D43C2×Q8semidirect
203. SD16×C43C2×Q8semidirect
216. #10621884C2×Q8semidirect
217. #10621883C2×Q8semidirect
241. #10621873C2×Q8semidirect
243. C8×D43C2×Q8semidirect
253. Q8×C43C2×SD16semidirect
254. Q8×C43C22×Q8semidirect
289. Dic86C2×SD16semidirect
290. Dic86C22×Q8semidirect
292. C8×C43C22×Q8semidirect
294. C43⋊C8C22×Q8semidirect
329. Q8×SD16D43direct (N × H)
340. D43Q8×SD16direct (N × H)
348. Q82C2×D43semidirect
368. #498C2×D43semidirect
380. #475C2×D43semidirect
384. C8×Q8C2×D43semidirect
399. C43C2×Q8×SD16semidirect
532. SD16Q8×D43direct (N × H)
587. Q8SD16×D43direct (N × H)
588. Q8C2×Q8×D43semidirect
620. C8C2×Q8×D43semidirect

Maximal subgroups

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

subgroupindex
Q82×D432
D4×Q8×D432
Q8×#106218732
Q8×#106218832
#191474542
SD16×Dic862
#191474522
Q8×#106218842
#191474502
#498×D432
#475×D432
#476×D432
C8×Q8×D432
C4×SD16×D432
Q8×SD16×C432
C2×Q8×SD1643