Finite Group Databasebeta

← #8091826

Subgroups — #8091826

Order 512.

5385 conjugacy classes of subgroups.

The subgroup lattice has 1559 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#46015C211yesmaximal, characteristic, complemented
2#46013C211yesmaximal, characteristic, complemented
3#46005C211yesmaximal, characteristic, complemented
4#45990C212yesmaximal, complemented
5#45988C212yesmaximal, complemented
6#45976C212yesmaximal, complemented
7#45745C214yesmaximal, complemented
8#45734C214yesmaximal, complemented
9#45711C212yesmaximal, complemented
10#45689C212yesmaximal, complemented
11#45664C212yesmaximal, complemented
12#45619C212yesmaximal, complemented
13#45609C212yesmaximal, complemented
14#45603C212yesmaximal, complemented
15#45562C214yesmaximal, complemented
16#45557C214yesmaximal, complemented
17#45549C214yesmaximal, complemented
18#45530C214yesmaximal, complemented
19#36274C212yesmaximal, complemented
20#36237C212yesmaximal, complemented
21#36218C212yesmaximal, complemented
22#36216C212yesmaximal, complemented
23#36215C212yesmaximal, complemented
24#36214C212yesmaximal, complemented
25#36165C211yesmaximal, characteristic, complemented
26#36164C211yesmaximal, characteristic, complemented
27D4×#124C211yesmaximal, characteristic, complemented
28C4×#562C211yesmaximal, characteristic, complemented
29C2×#2379C212yesmaximal, complemented
30C2×#562C2211yescharacteristic
31C2×#554C2211yescharacteristic
32C2×D4×Q8C2211yescharacteristic
33C2×#547C2211yescharacteristic
34C2×#546C2212yes—
35C2×#546C2212yes—
36C2×D42C2211yescharacteristic
37C22×#124C2212yes—
38C2×C4×#41C2212yes—
39C22×C4×D4C2212yes—
40#2862C2211yescharacteristic, complemented
41#2859C2211yescharacteristic, complemented
42#2858C2211yescharacteristic
43#2857C2212yescomplemented
44#2855C2212yescomplemented
45#2855C2214yescomplemented
46#2854C2212yescomplemented
47#2854C2214yescomplemented
48#2853C2214yescomplemented
49#2851C2212yescomplemented
50#2851C2212yescomplemented
51#2850C2212yes—
52#2850C2212yes—
53#2850C2212yescomplemented
54#2850C2212yescomplemented
55#2849C2214yescomplemented
56#2848C2214yescomplemented
57#2847C2214yes—
58#2845C2212yescomplemented
59#2837C2214yescomplemented
60#2832C2214yescomplemented
61#2831C2214yescomplemented
62#2827C2214yescomplemented
63#2827C2214yescomplemented
64#2826C2214yescomplemented
65#2820C2212yescomplemented
66#2819C2212yescomplemented
67#2808C2212yescomplemented
68#2808C2212yescomplemented
69#2806C2212yescomplemented
70#2798C2214yescomplemented
71#2798C2214yescomplemented
72#2788C2214yescomplemented
73#2786C2214yescomplemented
74#2783C2214yescomplemented
75#2781C2214yescomplemented
76#2781C2214yescomplemented
77#2779C2214yescomplemented
78#2779C2214yescomplemented
79#2772C2214yescomplemented
80#2768C2214yescomplemented
81#2768C2214yescomplemented
82#2761C2214yescomplemented
83#2761C2214yescomplemented
84#2755C2214yescomplemented
85#2754C2214yescomplemented
86#2754C2214yescomplemented
87#2751C2214yescomplemented
88#2747C2214yescomplemented
89#2744C2214yescomplemented
90#2743C2214yescomplemented
91#2743C2214yescomplemented
92#2739C2214yescomplemented
93#2732C2212yes—
94#2732C2212yescomplemented
95#2730C2214yescomplemented
96#2711C2214yescomplemented
97#2710C2214yescomplemented
98#2710C2214yescomplemented
99#2708C2214yescomplemented
100#2708C2214yescomplemented
101#2706C2214yescomplemented
102#2706C2214yescomplemented
103#2704C2214yescomplemented
104#2701C2214yescomplemented
105#2700C2214yescomplemented
106#2700C2214yescomplemented
107#2696C2214yescomplemented
108#2692C2214yescomplemented
109#2687C2214yescomplemented
110#2686C2214yes—
111#2682C2212yescomplemented
112#2681C2214yescomplemented
113#2676C2214yescomplemented
114#2672C2214yescomplemented
115#2582C2212yescomplemented
116#2580C2212yescomplemented
117#2579C2214yescomplemented
118#2571C2211yescharacteristic, complemented
119#2571C2211yescharacteristic, complemented
120#2568C2211yescharacteristic, complemented
121#2568C2212yescomplemented
122#2566C2212yescomplemented
123#2564C2214yescomplemented
124#2563C2211yescharacteristic, complemented
125#2548C2211yescharacteristic
126#2547C2211yescharacteristic
127#2545C2212yescomplemented
128#2544C2212yes—
129#2543C2214yes—
130#2543C2214yescomplemented
131#2536C2212yescomplemented
132#2535C2212yes—
133#2534C2214yes—
134#2534C2214yescomplemented
135#2508C2212yescomplemented
136#2508C2212yescomplemented
137#2505C2214yescomplemented
138#2505C2214yescomplemented
139#2504C2212yescomplemented
140#2503C2212yescomplemented
141#2502C2212yescomplemented
142#2500C2212yescomplemented
143#2498C2214yescomplemented
144#2491C2212yes—
145#2491C2212yes—
146#2489C2212yescomplemented
147#2489C2212yescomplemented
148#2488C2214yescomplemented
149#2488C2214yescomplemented
150#2487C2212yescomplemented
151#2485C2212yescomplemented
152#2483C2214yescomplemented
153#2482C2214yescomplemented
154#2472C2214yes—
155#2472C2214yes—
156#2454C2212yescomplemented
157#2452C2212yescomplemented
158#2451C2212yescomplemented
159#2451C2212yescomplemented
160#2450C2214yescomplemented
161#2450C2214yescomplemented
162#2450C2214yescomplemented
163#2449C2214yescomplemented
164#2448C2212yescomplemented
165#2448C2212yescomplemented
166#2447C2212yescomplemented
167#2447C2212yescomplemented
168#2444C2214yescomplemented
169#2443C2214yescomplemented
170#2443C2214yescomplemented
171#2443C2214yescomplemented
172#2442C2212yescomplemented
173#2442C2212yescomplemented
174#2442C2212yescomplemented
175#2440C2212yescomplemented
176#2439C2212yescomplemented
177#2439C2212yescomplemented
178#2438C2214yescomplemented
179#2438C2214yescomplemented
180#2437C2214yescomplemented
181#2437C2214yescomplemented
182#2436C2212yes—
183#2435C2212yes—
184#2429C2212yescomplemented
185#2428C2212yes—
186#2427C2212yes—
187#2426C2212yescomplemented
188#2425C2214yes—
189#2425C2214yescomplemented
190#2424C2214yes—
191#2424C2214yescomplemented
192#2423C2212yescomplemented
193#2422C2212yescomplemented
194#2422C2212yescomplemented
195#2421C2212yescomplemented
196#2419C2214yescomplemented
197#2419C2214yescomplemented
198#2418C2214yescomplemented
199#2418C2214yescomplemented
200#2417C2212yes—
201#2417C2214yescomplemented
202#2416C2212yes—
203#2415C2212yescomplemented
204#2414C2212yescomplemented
205#2413C2214yescomplemented
206#2412C2214yes—
207#2412C2214yescomplemented
208#2411C2214yescomplemented
209#2410C2214yes—
210#2409C2214yescomplemented
211#2382C2211yescharacteristic, complemented
212#2379C2211yescharacteristic
213#2379C2214yes—
214#2379C2212yes—
215#2379C2214yescomplemented
216#2379C2214yescomplemented
217#2379C2214yescomplemented
218#2379C2214yescomplemented
219#2379C2214yescomplemented
220#2379C2212yescomplemented
221#2379C2212yescomplemented
222#2379C2211yescharacteristic, complemented
223#2378C2212yescomplemented
224#2378C2212yescomplemented
225#2377C2212yes—
226#2377C2212yescomplemented
227#2376C2212yescomplemented
228#2376C2212yescomplemented
229#2349C2212yes—
230#2349C2212yes—
231#2349C2212yes—
232D4×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2211yescharacteristic
234D4×C4⋊C4C2212yes—
235#2339C2212yes—
236#2339C2212yes—
237#2339C2212yes—
238D4×C22⋊C4C2212yes—
239D4×C22⋊C4C2212yes—
240D4×C22⋊C4C2212yes—
241C4×#125C2211yescharacteristic, complemented
242C4×#124C2211yescharacteristic
243C4×#124C2211yescharacteristic, complemented
244C4×C22⋊Q8C2212yescomplemented
245C4×C22⋊Q8C2212yescomplemented
246C4×#123C2212yescomplemented
247C4×#123C2212yescomplemented
248C4×#121C2212yes—
249C4×#121C2212yescomplemented
250C2×#391C2214yescomplemented
251C2×#388C2214yescomplemented
252C2×#388C2214yescomplemented
253C2×#386C2214yes—
254C2×#385C2214yescomplemented
255C2×#385C2214yescomplemented
256C2×#382C2212yescomplemented
257C2×#382C2212yescomplemented
258C42×D4C2211yescharacteristic
259C22×#41C2312yes—
260C23×Q8C2312yes—
261C23×D4C2312yes—
262C23×D4C2312yes—
263C24×C4C2314yes—
264#562—28no—
265#554—44no—
266D4×Q8—44no—
267#547—44no—
268#546—48no—
269#546—48no—
270D42—44no—
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2312yes—
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2311yescharacteristic
275C2×#127C2311yescharacteristic
276C2×#125C2311yescharacteristic
277C2×#125C2312yes—
278C2×#125C2312yes—
279C2×#124—216no—
280C2×#124C2311yescharacteristic
281C2×#124C2312yes—
282C2×#124C2312yes—
283C2×#124C2314yes—
284C2×#124C2314yes—
285C2×#124C2312yes—
286C2×#124C2312yes—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#124C2311yescharacteristic
290C2×#123C2312yes—
291C2×#123C2312yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2314yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#120C2314yes—
322C2×#120C2314yes—
323C2×#120C2314yes—
324C4×#41—48no—
325C2×C4×Q8C2311yescharacteristic
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2312yes—
329C2×C4×D4—48no—
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2312yes—
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2312yes—
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2314yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×#117C2314yes—
348C2×#117C2312yes—
349C22×C4⋊C4C2312yes—
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2312yes—
352C22×C4⋊C4C2314yes—
353C22×C4⋊C4C2312yes—
354C22×C4⋊C4C2312yes—
355C22×C22⋊C4C2314yes—
356C22×C22⋊C4C2314yes—
357C22×C22⋊C4C2314yes—
358C22×C22⋊C4C2314yes—
359C22×C22⋊C4C2314yes—
360C22×C22⋊C4C2314yes—
361C22×C42C2312yes—
362C22×C42C2312yes—
363C22×C42C2312yes—
364C22×C42C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2314yes—
380#399C2314yes—
381#399C2314yes—
382#399C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#395C2314yes—
426#395C2314yes—
427#395C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#393C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#392C2314yes—
453#392C2314yes—
454#392C2314yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2314yes—
460#391C2314yes—
461#391C2314yes—
462#391C2312yes—
463#391C2312yes—
464#391C2314yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2311yescharacteristic
471#391C2312yes—
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#390C2312yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2314yes—
486#390C2314yes—
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2311yescharacteristic
492#390C2311yescharacteristic
493#389C2311yescharacteristic
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2314yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#388C2314yes—
518#388C2312yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2312yes—
534#388C2312yes—
535#388C2312yes—
536#388C2312yes—
537#388C2312yes—
538#388C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#387C2312yes—
557#387C2312yes—
558#387C2312yes—
559#387C2314yes—
560#387C2312yes—
561#387C2312yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2312yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#386C2314yes—
580#386C2314yes—
581#386C2312yes—
582#386C2314yes—
583#386C2312yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2312yes—
602#386C2312yes—
603#386C2312yes—
604#386C2312yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2312yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2312yes—
631#385C2312yes—
632#385C2312yes—
633#385C2312yes—
634#385C2312yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#384C2312yes—
646#384C2311yescharacteristic
647#384C2311yescharacteristic
648#382C2311yescharacteristic
649#382C2312yes—
650#382C2312yes—
651#382C2312yes—
652#382C2312yes—
653#382C2312yes—
654#382C2312yes—
655#382C2312yes—
656#382C2312yes—
657#382C2312yes—
658#382C2311yescharacteristic
659#382C2312yes—
660#382C2311yescharacteristic
661#382C2314yes—
662#382C2314yes—
663#382C2314yes—
664#382C2314yes—
665#381C2314yes—
666#381C2314yes—
667#381C2314yes—
668#381C2314yes—
669#381C2314yes—
670#381C2314yes—
671#381C2312yes—
672#381C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2314yes—
676#380C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2314yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#379C2314yes—
695#379C2314yes—
696#379C2314yes—
697C4×C4⋊C4C2311yescharacteristic
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2311yescharacteristic
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2311yescharacteristic
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C2×#95C2314yes—
716C2×#95C2314yes—
717C2×#95C2314yes—
718C2×#95C2314yes—
719C2×#95C2314yes—
720C2×#95C2314yes—
721C43C2311yescharacteristic
722C25C2414yes—
723C2×#41—28no—
724C2×#41—28no—
725C2×#41—28no—
726C22×Q8—28no—
727C22×Q8—44no—
728C22×Q8—82no—
729C22×Q8C2412yes—
730C22×Q8C2411yescharacteristic
731C22×Q8C2414yes—
732C22×Q8C2412yes—
733C22×Q8C2412yes—
734C22×Q8C2411yescharacteristic
735C22×D4—28no—
736C22×D4—28no—
737C22×D4—28no—
738C22×D4—28no—
739C22×D4—44no—
740C22×D4—82no—
741C22×D4C2414yes—
742C22×D4C2414yes—
743C22×D4C2412yes—
744C22×D4C2412yes—
745C22×D4C2412yes—
746C22×D4C2411yescharacteristic
747C22×D4C2414yes—
748C22×D4C2412yes—
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2411yescharacteristic
753C22×D4C2411yescharacteristic
754C23×C4—48no—
755C23×C4—84no—
756C23×C4—84no—
757C23×C4C2414yes—
758C23×C4C2412yes—
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2414yes—
763C23×C4C2412yes—
764C23×C4C2414yes—
765C23×C4C2412yes—
766C23×C4C2414yes—
767C23×C4C2414yes—
768C23×C4C2412yes—
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2412yes—
773C23×C4C2412yes—
774C4⋊Q8—44no—
775C4⋊Q8—42no—
776C4⋊Q8—42no—
777C4⋊Q8—42no—
778#127—42no—
779#125—24no—
780#125—44no—
781#125—82no—
782#124—28no—
783#124—28no—
784#124—216no—
785#124—216no—
786#124—28no—
787#124—24no—
788#124—44no—
789#124—44no—
790#124—82no—
791#124#4118yescomplemented
792#123—28no—
793#123—28no—
794#123—48no—
795#123—48no—
796#123—48no—
797#123—84no—
798#123—84no—
799#123—84no—
800C22⋊Q8—28no—
801C22⋊Q8—28no—
802C22⋊Q8—44no—
803C22⋊Q8—48no—
804C22⋊Q8—44no—
805C22⋊Q8—48no—
806C22⋊Q8—44no—
807C22⋊Q8—44no—
808C22⋊Q8—44no—
809C22⋊Q8—84no—
810C22⋊Q8—84no—
811C22⋊Q8—84no—
812#121—28no—
813#121—28no—
814#121—44no—
815#121—44no—
816#121—44no—
817#121—44no—
818#121—48no—
819#121—48no—
820#121—44no—
821#121—84no—
822#121—84no—
823#120—48no—
824#120—48no—
825#120—48no—
826C4×Q8—42no—
827C4×Q8—42no—
828C4×Q8—44no—
829C4×Q8—44no—
830C4×D4—28no—
831C4×D4—28no—
832C4×D4—28no—
833C4×D4—28no—
834C4×D4—24no—
835C4×D4—24no—
836C4×D4—24no—
837C4×D4—44no—
838C4×D4—44no—
839C4×D4—42no—
840C4×D4—44no—
841C4×D4—44no—
842C4×D4—42no—
843C4×D4—48no—
844C4×D4—48no—
845C4×D4—48no—
846C4×D4—48no—
847#117—48no—
848#117—44no—
849C2×C4⋊C4—44no—
850C2×C4⋊C4—44no—
851C2×C4⋊C4—44no—
852C2×C4⋊C4—84no—
853C2×C4⋊C4—82no—
854C2×C4⋊C4—82no—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2411yescharacteristic
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2411yescharacteristic
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C22⋊C4—216no—
912C2×C22⋊C4—216no—
913C2×C22⋊C4—48no—
914C2×C22⋊C4—48no—
915C2×C22⋊C4—48no—
916C2×C22⋊C4—84no—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C42—28no—
974C2×C42—44no—
975C2×C42—44no—
976C2×C42—48no—
977C2×C42C2412yes—
978C2×C42C2412yes—
979C2×C42C2412yes—
980C2×C42C2411yescharacteristic
981C2×C42C2411yescharacteristic
982C2×C42C2412yes—
983C2×C42C2411yescharacteristic
984C2×C42C2412yes—
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2412yes—
988C2×C42C2414yes—
989C2×C42C2412yes—
990C2×C42C2412yes—
991C2×C42C2414yes—
992C2×C42C2414yes—
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995C2×C42C2411yescharacteristic
996C2×C42C2412yes—
997C2×C42C2411yescharacteristic
998#95C2412yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057C24—28no—
1058C24—28no—
1059C24—28no—
1060C24—28no—
1061C24—44no—
1062C24—44no—
1063C24—44no—
1064C24C2514yes—
1065C24C2512yes—
1066C24C2512yes—
1067C24C2512yes—
1068#41—432no—
1069C2×Q8—22no—
1070C2×Q8—28no—
1071C2×Q8—24no—
1072C2×Q8—24no—
1073C2×Q8—24no—
1074C2×Q8—24no—
1075C2×Q8—41no—
1076C2×Q8—41no—
1077C2×Q8—41no—
1078C2×Q8—44no—
1079C2×Q8—42no—
1080C2×Q8—44no—
1081C2×Q8—42no—
1082C2×Q8—41no—
1083C2×Q8—42no—
1084C2×Q8—42no—
1085C2×Q8—42no—
1086C2×Q8—816no—
1087C2×Q8C2×#4114yes—
1088C2×D4—28no—
1089C2×D4—28no—
1090C2×D4—28no—
1091C2×D4—28no—
1092C2×D4—28no—
1093C2×D4—28no—
1094C2×D4—24no—
1095C2×D4—24no—
1096C2×D4—28no—
1097C2×D4—22no—
1098C2×D4—24no—
1099C2×D4—24no—
1100C2×D4—24no—
1101C2×D4—24no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—41no—
1107C2×D4—44no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—44no—
1111C2×D4—42no—
1112C2×D4—41no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—42no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—42no—
1122C2×D4—44no—
1123C2×D4—432no—
1124C2×D4—816no—
1125C2×D4C2×#4114yes—
1126C2×D4H(5,𝔽2)14yes—
1127C2×D4H(5,𝔽2)14yes—
1128C2×D42−1+414yes—
1129C22×C4—28no—
1130C22×C4—28no—
1131C22×C4—28no—
1132C22×C4—24no—
1133C22×C4—24no—
1134C22×C4—24no—
1135C22×C4—28no—
1136C22×C4—24no—
1137C22×C4—28no—
1138C22×C4—28no—
1139C22×C4—28no—
1140C22×C4—24no—
1141C22×C4—24no—
1142C22×C4—24no—
1143C22×C4—28no—
1144C22×C4—24no—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—42no—
1152C22×C4—42no—
1153C22×C4—44no—
1154C22×C4—42no—
1155C22×C4—42no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—42no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—42no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—44no—
1180C22×C4—832no—
1181C22×C4C2511yescharacteristic
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2514yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2514yes—
1195C22×C4C2514yes—
1196C22×C4C2514yes—
1197C22×C4C2514yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—24no—
1209C4⋊C4—24no—
1210C4⋊C4—22no—
1211C4⋊C4—22no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—44no—
1222C4⋊C4—42no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—42no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—42no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—41no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—41no—
1247C4⋊C4—42no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—24no—
1265C22⋊C4—28no—
1266C22⋊C4—28no—
1267C22⋊C4—28no—
1268C22⋊C4—28no—
1269C22⋊C4—24no—
1270C22⋊C4—24no—
1271C22⋊C4—24no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—24no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—42no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—42no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—42no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4C2×#4118yes—
1317C22⋊C4C2×#4118yes—
1318C42—24no—
1319C42—24no—
1320C42—24no—
1321C42—24no—
1322C42—24no—
1323C42—24no—
1324C42—24no—
1325C42—22no—
1326C42—22no—
1327C42—22no—
1328C42—42no—
1329C42—42no—
1330C42—44no—
1331C42—42no—
1332C42—42no—
1333C42—44no—
1334C42—44no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42C2×#4114yes—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—24no—
1350C23—22no—
1351C23—24no—
1352C23—22no—
1353C23—24no—
1354C23—22no—
1355C23—22no—
1356C23—24no—
1357C23—22no—
1358C23—22no—
1359C23—24no—
1360C23—24no—
1361C23—24no—
1362C23—22no—
1363C23—416no—
1364C23—416no—
1365C23—416no—
1366C23—416no—
1367C23—88no—
1368C23—88no—
1369C23—88no—
1370C23C22×#4114yes—
1371C23C2×H(5,𝔽2)14yes—
1372C23C2×H(5,𝔽2)14yes—
1373C23C2×2−1+414yes—
1374C23C2611yescharacteristic
1375Q8—44no—
1376Q8—48no—
1377Q8—82no—
1378Q8—88no—
1379Q8—84no—
1380Q8—162no—
1381D4—44no—
1382D4—416no—
1383D4—416no—
1384D4—48no—
1385D4—82no—
1386D4—84no—
1387D4—84no—
1388D4—84no—
1389D4—88no—
1390D4—164no—
1391D4—164no—
1392D4—162no—
1393D4#562116yescomplemented
1394C2×C4—22no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—21no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—24no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—24no—
1420C2×C4—24no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—24no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—24no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—48no—
1463C2×C4—48no—
1464C2×C4—48no—
1465C2×C4—416no—
1466C2×C4—48no—
1467C2×C4—416no—
1468C2×C4—48no—
1469C2×C4—48no—
1470C2×C4—84no—
1471C2×C4—84no—
1472C2×C4—88no—
1473C2×C4—88no—
1474C2×C4—88no—
1475C2×C4—84no—
1476C2×C4—88no—
1477C2×C4—88no—
1478C2×C4—88no—
1479C2×C4C22×#4112yes—
1480C2×C4C22×#4112yes—
1481C2×C4C22×#4112yes—
1482C2×C4C22×#4114yes—
1483C2×C4C2×H(5,𝔽2)12yes—
1484C2×C4C2×H(5,𝔽2)12yes—
1485C2×C4C2×2−1+412yes—
1486C22—24no—
1487C22—24no—
1488C22—24no—
1489C22—24no—
1490C22—24no—
1491C22—24no—
1492C22—24no—
1493C22—24no—
1494C22—24no—
1495C22—42no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—44no—
1501C22—42no—
1502C22—44no—
1503C22—42no—
1504C22—44no—
1505C22—44no—
1506C22—42no—
1507C22—42no—
1508C22—44no—
1509C22—42no—
1510C22—44no—
1511C22—42no—
1512C22—44no—
1513C22—832no—
1514C22C2×#56218yes—
1515C22C23×#4111yescharacteristic
1516C22C22×H(5,𝔽2)11yescharacteristic
1517C22C22×H(5,𝔽2)11yescharacteristic
1518C22C22×2−1+411yescharacteristic
1519C22H(7,𝔽2)11yescharacteristic
1520C22H(7,𝔽2)11yescharacteristic
1521C222−1+611yescharacteristic
1522C4—24no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—42no—
1527C4—44no—
1528C4—42no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—42no—
1534C4—42no—
1535C4—44no—
1536C4—44no—
1537C4—41no—
1538C4—42no—
1539C4—42no—
1540C4—44no—
1541C4—41no—
1542C4—41no—
1543C4—42no—
1544C4—42no—
1545C4—44no—
1546C4C2×#56214yes—
1547C2—28no—
1548C2—44no—
1549C2—82no—
1550C2—84no—
1551C2C22×#56211yescharacteristic
1552C2#6298311yescharacteristic
1553C2#6298511yescharacteristic
1554C2#6300011yescharacteristic
1555C2#6304511yescharacteristic
1556C2#6304911yescharacteristic
1557C2#6305811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #46015C2semidirect
2. #46013C2semidirect
3. #46005C2semidirect
4. #45990C2semidirect
5. #45988C2semidirect
6. #45976C2semidirect
7. #45745C2semidirect
8. #45734C2semidirect
9. #45711C2semidirect
10. #45689C2semidirect
11. #45664C2semidirect
12. #45619C2semidirect
13. #45609C2semidirect
14. #45603C2semidirect
15. #45562C2semidirect
16. #45557C2semidirect
17. #45549C2semidirect
18. #45530C2semidirect
19. #36274C2semidirect
20. #36237C2semidirect
21. #36218C2semidirect
22. #36216C2semidirect
23. #36215C2semidirect
24. #36214C2semidirect
25. #36165C2semidirect
26. #36164C2semidirect
27. D4×#124C2semidirect
28. C4×#562C2semidirect
29. C2×#2379C2semidirect
40. #2862C22semidirect
41. #2859C22semidirect
43. #2857C22semidirect
44. #2855C22semidirect
45. #2855C22semidirect
46. #2854C22semidirect
47. #2854C22semidirect
48. #2853C22semidirect
49. #2851C22semidirect
50. #2851C22semidirect
53. #2850C22semidirect
54. #2850C22semidirect
55. #2849C22semidirect
56. #2848C22semidirect
58. #2845C22semidirect
59. #2837C22semidirect
60. #2832C22semidirect
61. #2831C22semidirect
62. #2827C22semidirect
63. #2827C22semidirect
64. #2826C22semidirect
65. #2820C22semidirect
66. #2819C22semidirect
67. #2808C22semidirect
68. #2808C22semidirect
69. #2806C22semidirect
70. #2798C22semidirect
71. #2798C22semidirect
72. #2788C22semidirect
73. #2786C22semidirect
74. #2783C22semidirect
75. #2781C22semidirect
76. #2781C22semidirect
77. #2779C22semidirect
78. #2779C22semidirect
79. #2772C22semidirect
80. #2768C22semidirect
81. #2768C22semidirect
82. #2761C22semidirect
83. #2761C22semidirect
84. #2755C22semidirect
85. #2754C22semidirect
86. #2754C22semidirect
87. #2751C22semidirect
88. #2747C22semidirect
89. #2744C22semidirect
90. #2743C22semidirect
91. #2743C22semidirect
92. #2739C22semidirect
94. #2732C22semidirect
95. #2730C22semidirect
96. #2711C22semidirect
97. #2710C22semidirect
98. #2710C22semidirect
99. #2708C22semidirect
100. #2708C22semidirect
101. #2706C22semidirect
102. #2706C22semidirect
103. #2704C22semidirect
104. #2701C22semidirect
105. #2700C22semidirect
106. #2700C22semidirect
107. #2696C22semidirect
108. #2692C22semidirect
109. #2687C22semidirect
111. #2682C22semidirect
112. #2681C22semidirect
113. #2676C22semidirect
114. #2672C22semidirect
115. #2582C22semidirect
116. #2580C22semidirect
117. #2579C22semidirect
118. #2571C22semidirect
119. #2571C22semidirect
120. #2568C22semidirect
121. #2568C22semidirect
122. #2566C22semidirect
123. #2564C22semidirect
124. #2563C22semidirect
127. #2545C22semidirect
130. #2543C22semidirect
131. #2536C22semidirect
134. #2534C22semidirect
135. #2508C22semidirect
136. #2508C22semidirect
137. #2505C22semidirect
138. #2505C22semidirect
139. #2504C22semidirect
140. #2503C22semidirect
141. #2502C22semidirect
142. #2500C22semidirect
143. #2498C22semidirect
146. #2489C22semidirect
147. #2489C22semidirect
148. #2488C22semidirect
149. #2488C22semidirect
150. #2487C22semidirect
151. #2485C22semidirect
152. #2483C22semidirect
153. #2482C22semidirect
156. #2454C22semidirect
157. #2452C22semidirect
158. #2451C22semidirect
159. #2451C22semidirect
160. #2450C22semidirect
161. #2450C22semidirect
162. #2450C22semidirect
163. #2449C22semidirect
164. #2448C22semidirect
165. #2448C22semidirect
166. #2447C22semidirect
167. #2447C22semidirect
168. #2444C22semidirect
169. #2443C22semidirect
170. #2443C22semidirect
171. #2443C22semidirect
172. #2442C22semidirect
173. #2442C22semidirect
174. #2442C22semidirect
175. #2440C22semidirect
176. #2439C22semidirect
177. #2439C22semidirect
178. #2438C22semidirect
179. #2438C22semidirect
180. #2437C22semidirect
181. #2437C22semidirect
184. #2429C22semidirect
187. #2426C22semidirect
189. #2425C22semidirect
191. #2424C22semidirect
192. #2423C22semidirect
193. #2422C22semidirect
194. #2422C22semidirect
195. #2421C22semidirect
196. #2419C22semidirect
197. #2419C22semidirect
198. #2418C22semidirect
199. #2418C22semidirect
201. #2417C22semidirect
203. #2415C22semidirect
204. #2414C22semidirect
205. #2413C22semidirect
207. #2412C22semidirect
208. #2411C22semidirect
210. #2409C22semidirect
211. #2382C22semidirect
215. #2379C22semidirect
216. #2379C22semidirect
217. #2379C22semidirect
218. #2379C22semidirect
219. #2379C22semidirect
220. #2379C22semidirect
221. #2379C22semidirect
222. #2379C22semidirect
223. #2378C22semidirect
224. #2378C22semidirect
226. #2377C22semidirect
227. #2376C22semidirect
228. #2376C22semidirect
241. C4×#125C22semidirect
243. C4×#124C22semidirect
244. C4×C22⋊Q8C22semidirect
245. C4×C22⋊Q8C22semidirect
246. C4×#123C22semidirect
247. C4×#123C22semidirect
249. C4×#121C22semidirect
250. C2×#391C22semidirect
251. C2×#388C22semidirect
252. C2×#388C22semidirect
254. C2×#385C22semidirect
255. C2×#385C22semidirect
256. C2×#382C22semidirect
257. C2×#382C22semidirect
791. #124#41semidirect
1393. D4#562semidirect

Maximal subgroups

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

subgroupindex
#460152
#460132
#460052
#459902
#459882
#459762
#457452
#457342
#457112
#456892
#456642
#456192
#456092
#456032
#455622
#455572
#455492
#455302
#362742
#362372
#362182
#362162
#362152
#362142
#361652
#361642
D4×#1242
C4×#5622
C2×#23792