Finite Group Databasebeta

← #8123025

Subgroups — #8123025

Order 512.

5802 conjugacy classes of subgroups.

The subgroup lattice has 1738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58889C212yesmaximal, complemented
2#57146C212yesmaximal, complemented
3#56766C214yesmaximal, complemented
4#56343C212yesmaximal, complemented
5#55043C212yesmaximal, complemented
6#53432C214yesmaximal, complemented
7#53044C212yesmaximal, complemented
8#53015C211yesmaximal, characteristic, complemented
9#53006C211yesmaximal, characteristic, complemented
10#47807C212yesmaximal, complemented
11#47695C212yesmaximal, complemented
12#47177C214yesmaximal, complemented
13#47082C214yesmaximal, complemented
14#47018C212yesmaximal, complemented
15#46807C212yesmaximal, complemented
16#45258C212yesmaximal, complemented
17#45103C211yesmaximal, characteristic, complemented
18#44914C211yesmaximal, characteristic, complemented
19#39885C212yesmaximal, complemented
20#39863C212yesmaximal, complemented
21#39605C212yesmaximal, complemented
22#38938C212yesmaximal, complemented
23#37969C212yesmaximal, complemented
24#37844C212yesmaximal, complemented
25#37781C212yesmaximal, complemented
26#37648C212yesmaximal, complemented
27#37282C212yesmaximal, complemented
28#35251C212yesmaximal, complemented
29#35172C211yesmaximal, characteristic, complemented
30#35076C211yesmaximal, characteristic, complemented
31#34736C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic, complemented
33C2×#556C2212yescomplemented
34C2×#546C2212yescomplemented
35C2×#537C2212yes—
36C2×#537C2212yescomplemented
37C2×#533C2211yescharacteristic, complemented
38C2×#525C2212yes—
39C2×#525C2212yescomplemented
40C22×#121C2211yescharacteristic, complemented
41C22×C4×D4C2211yescharacteristic
42#2854C2212yescomplemented
43#2848C2212yescomplemented
44#2848C2212yescomplemented
45#2848C2212yescomplemented
46#2847C2212yes—
47#2847C2212yescomplemented
48#2843C2212yescomplemented
49#2840C2212yescomplemented
50#2837C2214yescomplemented
51#2830C2214yescomplemented
52#2829C2214yescomplemented
53#2828C2214yescomplemented
54#2826C2212yescomplemented
55#2819C2212yescomplemented
56#2819C2214yescomplemented
57#2813C2214yescomplemented
58#2803C2214yescomplemented
59#2795C2212yescomplemented
60#2788C2214yescomplemented
61#2785C2212yescomplemented
62#2784C2214yes—
63#2784C2214yescomplemented
64#2784C2214yescomplemented
65#2782C2212yescomplemented
66#2781C2214yescomplemented
67#2780C2214yescomplemented
68#2779C2214yescomplemented
69#2768C2214yescomplemented
70#2763C2212yescomplemented
71#2763C2214yescomplemented
72#2756C2214yescomplemented
73#2756C2214yescomplemented
74#2753C2214yescomplemented
75#2751C2214yescomplemented
76#2750C2214yescomplemented
77#2743C2214yescomplemented
78#2742C2212yescomplemented
79#2742C2214yescomplemented
80#2723C2214yescomplemented
81#2718C2214yescomplemented
82#2715C2214yescomplemented
83#2714C2214yescomplemented
84#2714C2214yescomplemented
85#2711C2214yescomplemented
86#2710C2214yescomplemented
87#2706C2214yescomplemented
88#2705C2214yescomplemented
89#2704C2214yescomplemented
90#2702C2214yescomplemented
91#2701C2214yescomplemented
92#2698C2214yescomplemented
93#2697C2214yescomplemented
94#2696C2214yescomplemented
95#2691C2214yescomplemented
96#2686C2214yescomplemented
97#2686C2214yescomplemented
98#2685C2214yescomplemented
99#2685C2214yescomplemented
100#2685C2214yescomplemented
101#2684C2214yescomplemented
102#2684C2214yescomplemented
103#2682C2214yescomplemented
104#2681C2214yescomplemented
105#2681C2214yescomplemented
106#2680C2212yescomplemented
107#2679C2214yes—
108#2678C2214yescomplemented
109#2676C2214yescomplemented
110#2675C2214yescomplemented
111#2672C2214yescomplemented
112#2671C2214yescomplemented
113#2671C2214yescomplemented
114#2670C2214yescomplemented
115#2670C2212yescomplemented
116#2670C2214yescomplemented
117#2668C2212yescomplemented
118#2639C2214yescomplemented
119#2636C2214yescomplemented
120#2635C2212yes—
121#2635C2212yescomplemented
122#2630C2214yescomplemented
123#2628C2212yescomplemented
124#2626C2214yescomplemented
125#2626C2212yescomplemented
126#2626C2212yescomplemented
127#2620C2212yescomplemented
128#2616C2212yescomplemented
129#2616C2212yescomplemented
130#2615C2212yes—
131#2615C2212yescomplemented
132#2612C2212yescomplemented
133#2610C2214yescomplemented
134#2603C2214yescomplemented
135#2603C2214yescomplemented
136#2602C2214yescomplemented
137#2598C2214yescomplemented
138#2591C2212yescomplemented
139#2580C2212yes—
140#2580C2212yescomplemented
141#2580C2214yescomplemented
142#2566C2212yescomplemented
143#2566C2212yescomplemented
144#2563C2211yescharacteristic, complemented
145#2563C2212yescomplemented
146#2563C2211yescharacteristic, complemented
147#2559C2214yescomplemented
148#2559C2214yescomplemented
149#2555C2214yescomplemented
150#2553C2214yescomplemented
151#2542C2211yescharacteristic, complemented
152#2542C2211yescharacteristic, complemented
153#2540C2212yescomplemented
154#2539C2212yes—
155#2538C2212yes—
156#2538C2212yescomplemented
157#2537C2212yescomplemented
158#2537C2212yescomplemented
159#2536C2212yescomplemented
160#2534C2214yescomplemented
161#2532C2214yescomplemented
162#2505C2214yescomplemented
163#2500C2212yescomplemented
164#2497C2212yescomplemented
165#2497C2212yescomplemented
166#2496C2212yescomplemented
167#2495C2212yescomplemented
168#2492C2212yescomplemented
169#2491C2212yescomplemented
170#2491C2212yescomplemented
171#2491C2212yescomplemented
172#2487C2211yescharacteristic
173#2487C2211yescharacteristic, complemented
174#2485C2212yescomplemented
175#2485C2212yescomplemented
176#2476C2214yescomplemented
177#2476C2214yescomplemented
178#2472C2214yescomplemented
179#2465C2214yescomplemented
180#2465C2214yescomplemented
181#2465C2214yescomplemented
182#2463C2212yescomplemented
183#2461C2214yescomplemented
184#2458C2214yescomplemented
185#2450C2214yescomplemented
186#2440C2212yescomplemented
187#2440C2212yescomplemented
188#2437C2214yescomplemented
189#2437C2212yescomplemented
190#2432C2212yescomplemented
191#2430C2214yescomplemented
192#2430C2214yescomplemented
193#2429C2212yescomplemented
194#2427C2212yescomplemented
195#2426C2212yescomplemented
196#2426C2214yescomplemented
197#2426C2212yescomplemented
198#2426C2214yescomplemented
199#2424C2214yescomplemented
200#2424C2214yescomplemented
201#2424C2214yescomplemented
202#2423C2212yescomplemented
203#2422C2212yescomplemented
204#2421C2212yescomplemented
205#2420C2212yescomplemented
206#2417C2212yescomplemented
207#2417C2212yescomplemented
208#2416C2212yescomplemented
209#2415C2212yescomplemented
210#2414C2212yes—
211#2414C2212yescomplemented
212#2410C2214yescomplemented
213#2410C2214yescomplemented
214#2410C2214yescomplemented
215#2409C2211yescharacteristic
216#2409C2211yescharacteristic, complemented
217#2409C2214yescomplemented
218#2408C2211yescharacteristic
219#2408C2211yescharacteristic
220#2408C2211yescharacteristic, complemented
221#2408C2211yescharacteristic, complemented
222#2408C2212yescomplemented
223#2408C2214yescomplemented
224#2408C2214yescomplemented
225#2407C2212yes—
226#2407C2212yescomplemented
227#2407C2214yescomplemented
228#2407C2212yescomplemented
229#2407C2214yescomplemented
230#2406C2211yescharacteristic, complemented
231#2406C2211yescharacteristic, complemented
232#2405C2212yescomplemented
233#2405C2212yescomplemented
234#2404C2211yescharacteristic
235#2404C2211yescharacteristic
236#2403C2212yes—
237#2403C2212yes—
238#2388C2211yescharacteristic
239#2388C2211yescharacteristic
240#2388C2211yescharacteristic, complemented
241#2388C2211yescharacteristic, complemented
242#2361C2212yescomplemented
243#2360C2212yescomplemented
244#2352C2212yescomplemented
245D4×C4⋊C4C2212yescomplemented
246#2346C2212yescomplemented
247#2341C2212yescomplemented
248#2326C2214yescomplemented
249#2324C2212yescomplemented
250#2323C2212yescomplemented
251#2321C2212yes—
252#2321C2214yes—
253#2321C2214yes—
254#2321C2212yescomplemented
255#2318C2214yescomplemented
256#2317C2212yescomplemented
257#2311C2212yescomplemented
258#2311C2212yescomplemented
259#2309C2212yes—
260C4×#120C2212yes—
261C4×#120C2212yescomplemented
262#2297C2212yescomplemented
263#2285C2211yescharacteristic, complemented
264#2280C2211yescharacteristic, complemented
265#2280C2211yescharacteristic, complemented
266C2×#380C2212yescomplemented
267C22×#41—44no—
268C22×#41—48no—
269C22×#41C2311yescharacteristic
270C22×#41C2312yes—
271C22×#41C2312yes—
272C22×#41C2311yescharacteristic
273C22×#41C2311yescharacteristic
274C22×#41C2311yescharacteristic
275C22×#41C2312yes—
276C23×Q8C2311yescharacteristic
277C23×D4C2311yescharacteristic
278C23×D4C2312yes—
279C23×D4C2311yescharacteristic
280C23×D4C2311yescharacteristic
281C23×D4C2312yes—
282C24×C4C2311yescharacteristic
283C24×C4C2312yes—
284C24×C4C2311yescharacteristic
285#556—48no—
286#546—48no—
287#537—48no—
288#537—48no—
289#533—44no—
290C2×C4⋊Q8C2311yescharacteristic
291C2×C4⋊Q8C2312yes—
292C2×C4⋊Q8C2311yescharacteristic
293C2×#126C2314yes—
294C2×#126C2314yes—
295C2×#126C2314yes—
296C2×#125C2312yes—
297C2×#124C2314yes—
298C2×#124C2312yes—
299C2×#124C2314yes—
300C2×#124C2314yes—
301C2×#124C2314yes—
302#525—48no—
303#525—48no—
304C2×#123C2314yes—
305C2×#123C2312yes—
306C2×#123C2312yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×#121—44no—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#120C2312yes—
347C2×#120C2312yes—
348C2×#120C2312yes—
349C2×#120C2312yes—
350C2×#120C2312yes—
351C2×#120C2312yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2314yes—
360C2×C4×Q8C2312yes—
361C2×C4×D4—44no—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2314yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2314yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2314yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2314yes—
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2314yes—
393C22×C42C2311yescharacteristic
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#399C2312yes—
404#399C2314yes—
405#399C2312yes—
406#399C2312yes—
407#399C2312yes—
408#399C2312yes—
409#399C2314yes—
410#399C2312yes—
411#399C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#395C2314yes—
443#395C2311yescharacteristic
444#395C2314yes—
445#395C2311yescharacteristic
446#395C2314yes—
447#395C2314yes—
448#395C2311yescharacteristic
449#395C2311yescharacteristic
450#395C2314yes—
451#394C2312yes—
452#394C2311yescharacteristic
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2311yescharacteristic
484#394C2312yes—
485#394C2311yescharacteristic
486#394C2311yescharacteristic
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#393C2312yes—
493#393C2314yes—
494#393C2312yes—
495#393C2312yes—
496#393C2312yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2311yescharacteristic
502#393C2314yes—
503#393C2314yes—
504#393C2311yescharacteristic
505#393C2314yes—
506#393C2314yes—
507#393C2311yescharacteristic
508#393C2311yescharacteristic
509#392C2314yes—
510#392C2312yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2311yescharacteristic
515#392C2312yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2312yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2312yes—
524#392C2312yes—
525#392C2311yescharacteristic
526#392C2312yes—
527#392C2311yescharacteristic
528#392C2311yescharacteristic
529#392C2314yes—
530#391C2314yes—
531#391C2314yes—
532#391C2312yes—
533#391C2314yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2312yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2312yes—
622#386C2312yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2314yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#386C2312yes—
644#386C2312yes—
645#386C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#383C2314yes—
679#382C2312yes—
680#382C2314yes—
681#382C2312yes—
682#382C2312yes—
683#382C2314yes—
684#382C2312yes—
685#381C2314yes—
686#381C2312yes—
687#381C2311yescharacteristic
688#381C2311yescharacteristic
689#380C2312yes—
690#380C2311yescharacteristic
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2314yes—
703#380C2312yes—
704#380C2314yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2312yes—
709#380C2314yes—
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2311yescharacteristic
713#380C2314yes—
714#380C2314yes—
715#380C2314yes—
716#379C2314yes—
717#379C2314yes—
718#379C2312yes—
719#379C2314yes—
720#379C2314yes—
721#379C2312yes—
722#379C2312yes—
723#379C2312yes—
724#379C2312yes—
725#379C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2311yescharacteristic
739C4×C22⋊C4C2311yescharacteristic
740C4×C22⋊C4C2312yes—
741C4×C22⋊C4C2312yes—
742C4×C22⋊C4C2312yes—
743#376C2314yes—
744C2×#95C2314yes—
745C25C2412yes—
746C25C2411yescharacteristic
747C25C2411yescharacteristic
748C25C2412yes—
749C2×#41—28no—
750C2×#41—28no—
751C2×#41—28no—
752C2×#41—28no—
753C2×#41—42no—
754C2×#41—44no—
755C2×#41—42no—
756C2×#41—44no—
757C2×#41—42no—
758C2×#41—42no—
759C2×#41—44no—
760C2×#41—44no—
761C2×#41—44no—
762C2×#41—44no—
763C2×#41—44no—
764C2×#41—44no—
765C2×#41—44no—
766C2×#41—464no—
767C22×Q8—42no—
768C22×Q8—44no—
769C22×Q8C2412yes—
770C22×Q8C2412yes—
771C22×Q8C2411yescharacteristic
772C22×Q8C2412yes—
773C22×Q8C2414yes—
774C22×Q8C2411yescharacteristic
775C22×D4—24no—
776C22×D4—42no—
777C22×D4—44no—
778C22×D4—42no—
779C22×D4—42no—
780C22×D4—44no—
781C22×D4—42no—
782C22×D4—44no—
783C22×D4—44no—
784C22×D4—44no—
785C22×D4—44no—
786C22×D4—84no—
787C22×D4C2412yes—
788C22×D4C2412yes—
789C22×D4C2411yescharacteristic
790C22×D4C2411yescharacteristic
791C22×D4C2412yes—
792C22×D4C2412yes—
793C22×D4C2411yescharacteristic
794C22×D4C2412yes—
795C22×D4C2412yes—
796C22×D4C2411yescharacteristic
797C22×D4C2412yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2412yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2412yes—
804C22×D4C2414yes—
805C22×D4C2414yes—
806C22×D4C2414yes—
807C22×D4C2412yes—
808C22×D4C2414yes—
809C22×D4C2412yes—
810C22×D4C2411yescharacteristic
811C22×D4C2411yescharacteristic
812C23×C4—24no—
813C23×C4—28no—
814C23×C4—24no—
815C23×C4—44no—
816C23×C4—44no—
817C23×C4—44no—
818C23×C4—44no—
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2414yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C4⋊Q8—42no—
843C4⋊Q8—44no—
844C4⋊Q8—42no—
845#126—48no—
846#126—48no—
847#126—84no—
848#125—44no—
849#124—48no—
850#124—44no—
851#124—48no—
852#124—84no—
853#124—84no—
854#123—44no—
855#123—48no—
856#123—48no—
857#123—44no—
858#123—84no—
859#123—84no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864C22⋊Q8—44no—
865C22⋊Q8—48no—
866C22⋊Q8—48no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—84no—
874C22⋊Q8—84no—
875#121—28no—
876#121—28no—
877#121—44no—
878#121—48no—
879#121—48no—
880#121—44no—
881#121—44no—
882#121—48no—
883#121—48no—
884#121—48no—
885#121—48no—
886#121—48no—
887#121—44no—
888#121—44no—
889#121—44no—
890#121—44no—
891#121—44no—
892#121—44no—
893#121—84no—
894#121—84no—
895#120—28no—
896#120—28no—
897#120—44no—
898#120—44no—
899#120—44no—
900#120—48no—
901#120—44no—
902#120—48no—
903#120—84no—
904#120—84no—
905#120—84no—
906C4×Q8—44no—
907C4×Q8—48no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—48no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4—42no—
916C4×D4—42no—
917C4×D4—42no—
918C4×D4—42no—
919C4×D4—42no—
920C4×D4—42no—
921C4×D4—42no—
922C4×D4—48no—
923C4×D4—48no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—84no—
927#117—28no—
928#117—44no—
929#117—44no—
930#117—44no—
931#117—44no—
932C2×C4⋊C4—42no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4—44no—
935C2×C4⋊C4—42no—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C22⋊C4—44no—
980C2×C22⋊C4—48no—
981C2×C22⋊C4—42no—
982C2×C22⋊C4—42no—
983C2×C22⋊C4—84no—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C42—24no—
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2411yescharacteristic
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2412yes—
1093#95C2411yescharacteristic
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119C24—22no—
1120C24—22no—
1121C24—24no—
1122C24—24no—
1123C24—22no—
1124C24—22no—
1125C24—24no—
1126C24—42no—
1127C24—42no—
1128C24—42no—
1129C24—42no—
1130C24—41no—
1131C24—41no—
1132C24—42no—
1133C24—42no—
1134C24—42no—
1135C24—42no—
1136C24—42no—
1137C24—42no—
1138C24—44no—
1139C24—44no—
1140C24—42no—
1141C24C2511yescharacteristic
1142C24C2514yes—
1143C24C2512yes—
1144C24C2511yescharacteristic
1145C24C2511yescharacteristic
1146C24C2512yes—
1147C24C2511yescharacteristic
1148C24C2511yescharacteristic
1149#41—432no—
1150#41—416no—
1151#41—416no—
1152#41—432no—
1153#41—416no—
1154#41—416no—
1155#41—816no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—41no—
1163C2×Q8—42no—
1164C2×Q8—41no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8—44no—
1170C2×Q8—44no—
1171C2×Q8—416no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—24no—
1183C2×D4—28no—
1184C2×D4—28no—
1185C2×D4—28no—
1186C2×D4—24no—
1187C2×D4—28no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—42no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—416no—
1215C2×D4—44no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—432no—
1245C2×D4—416no—
1246C2×D4—88no—
1247C2×D4—816no—
1248C2×D42−1+414yes—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—28no—
1276C22×C4—22no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—44no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—416no—
1304C22×C4—432no—
1305C22×C4—88no—
1306C22×C4H(5,𝔽2)14yes—
1307C22×C4H(5,𝔽2)18yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2514yes—
1316C22×C4C2512yes—
1317C22×C4C2514yes—
1318C22×C4C2514yes—
1319C22×C4C2514yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2514yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2514yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—28no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—28no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—44no—
1458C42—44no—
1459C42—44no—
1460C42—44no—
1461C42—44no—
1462C23—22no—
1463C23—21no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—21no—
1471C23—22no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—24no—
1482C23—24no—
1483C23—24no—
1484C23—21no—
1485C23—21no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—24no—
1492C23—21no—
1493C23—21no—
1494C23—22no—
1495C23—24no—
1496C23—21no—
1497C23—21no—
1498C23—22no—
1499C23—22no—
1500C23—24no—
1501C23—22no—
1502C23—22no—
1503C23—24no—
1504C23—44no—
1505C23—44no—
1506C23—48no—
1507C23—44no—
1508C23—48no—
1509C23—44no—
1510C23—82no—
1511C23—84no—
1512C23—82no—
1513C23—84no—
1514C23—84no—
1515C23—84no—
1516C23—84no—
1517C23—84no—
1518C23—88no—
1519C23—84no—
1520C23—84no—
1521C23—84no—
1522C23—84no—
1523C23—84no—
1524C23—84no—
1525C23—164no—
1526C23C2×H(5,𝔽2)14yes—
1527C23C2×H(5,𝔽2)12yes—
1528C23C2×2−1+412yes—
1529C23C2×2−1+412yes—
1530C23C2611yescharacteristic
1531Q8—48no—
1532Q8—44no—
1533Q8—44no—
1534Q8—48no—
1535Q8—84no—
1536Q8—88no—
1537D4—44no—
1538D4—44no—
1539D4—44no—
1540D4—48no—
1541D4—48no—
1542D4—48no—
1543D4—44no—
1544D4—48no—
1545D4—48no—
1546D4—44no—
1547D4—44no—
1548D4—48no—
1549D4—48no—
1550D4—88no—
1551D4—84no—
1552D4—84no—
1553D4—88no—
1554D4—88no—
1555D4—88no—
1556D4—84no—
1557D4—88no—
1558D4—88no—
1559D4—84no—
1560D4—164no—
1561D4—164no—
1562C2×C4—28no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—28no—
1571C2×C4—216no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—24no—
1585C2×C4—24no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—24no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—44no—
1621C2×C4—48no—
1622C2×C4—44no—
1623C2×C4—48no—
1624C2×C4—44no—
1625C2×C4—48no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—48no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—82no—
1632C2×C4—82no—
1633C2×C4—88no—
1634C2×C4—82no—
1635C2×C4—82no—
1636C2×C4—84no—
1637C2×C4—164no—
1638C2×C4—164no—
1639C2×C4—164no—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4C2×H(5,𝔽2)14yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4C2×H(5,𝔽2)14yes—
1644C2×C4C2×2−1+412yes—
1645C2×C4#58512yes—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—24no—
1651C22—24no—
1652C22—24no—
1653C22—24no—
1654C22—22no—
1655C22—24no—
1656C22—42no—
1657C22—41no—
1658C22—42no—
1659C22—41no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—42no—
1671C22—44no—
1672C22—41no—
1673C22—44no—
1674C22—42no—
1675C22—41no—
1676C22—44no—
1677C22—42no—
1678C22—42no—
1679C22—44no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—44no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—44no—
1688C22—41no—
1689C22—42no—
1690C22—41no—
1691C22—44no—
1692C22—816no—
1693C22—88no—
1694C22—88no—
1695C22—168no—
1696C22C22×H(5,𝔽2)11yescharacteristic
1697C22C22×H(5,𝔽2)12yes—
1698C22C22×2−1+411yescharacteristic
1699C22C2×#58511yescharacteristic
1700C22H(7,𝔽2)12yes—
1701C4—22no—
1702C4—22no—
1703C4—22no—
1704C4—24no—
1705C4—41no—
1706C4—44no—
1707C4—41no—
1708C4—44no—
1709C4—42no—
1710C4—44no—
1711C4—44no—
1712C4—44no—
1713C4—42no—
1714C4—42no—
1715C4—44no—
1716C4—42no—
1717C4—41no—
1718C4—41no—
1719C4—42no—
1720C4—41no—
1721C4—41no—
1722C4—44no—
1723C4#353214yes—
1724C2—44no—
1725C2—42no—
1726C2—42no—
1727C2—42no—
1728C2—81no—
1729C2—81no—
1730C2—82no—
1731C2—84no—
1732C2C2×#353211yescharacteristic
1733C2#6281911yescharacteristic
1734C2#6287411yescharacteristic
1735C2#6293012yes—
1736C2#6294412yes—
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. #58889C2semidirect
2. #57146C2semidirect
3. #56766C2semidirect
4. #56343C2semidirect
5. #55043C2semidirect
6. #53432C2semidirect
7. #53044C2semidirect
8. #53015C2semidirect
9. #53006C2semidirect
10. #47807C2semidirect
11. #47695C2semidirect
12. #47177C2semidirect
13. #47082C2semidirect
14. #47018C2semidirect
15. #46807C2semidirect
16. #45258C2semidirect
17. #45103C2semidirect
18. #44914C2semidirect
19. #39885C2semidirect
20. #39863C2semidirect
21. #39605C2semidirect
22. #38938C2semidirect
23. #37969C2semidirect
24. #37844C2semidirect
25. #37781C2semidirect
26. #37648C2semidirect
27. #37282C2semidirect
28. #35251C2semidirect
29. #35172C2semidirect
30. #35076C2semidirect
31. #34736C2semidirect
32. C23×#41C22semidirect
33. C2×#556C22semidirect
34. C2×#546C22semidirect
36. C2×#537C22semidirect
37. C2×#533C22semidirect
39. C2×#525C22semidirect
40. C22×#121C22semidirect
42. #2854C22semidirect
43. #2848C22semidirect
44. #2848C22semidirect
45. #2848C22semidirect
47. #2847C22semidirect
48. #2843C22semidirect
49. #2840C22semidirect
50. #2837C22semidirect
51. #2830C22semidirect
52. #2829C22semidirect
53. #2828C22semidirect
54. #2826C22semidirect
55. #2819C22semidirect
56. #2819C22semidirect
57. #2813C22semidirect
58. #2803C22semidirect
59. #2795C22semidirect
60. #2788C22semidirect
61. #2785C22semidirect
63. #2784C22semidirect
64. #2784C22semidirect
65. #2782C22semidirect
66. #2781C22semidirect
67. #2780C22semidirect
68. #2779C22semidirect
69. #2768C22semidirect
70. #2763C22semidirect
71. #2763C22semidirect
72. #2756C22semidirect
73. #2756C22semidirect
74. #2753C22semidirect
75. #2751C22semidirect
76. #2750C22semidirect
77. #2743C22semidirect
78. #2742C22semidirect
79. #2742C22semidirect
80. #2723C22semidirect
81. #2718C22semidirect
82. #2715C22semidirect
83. #2714C22semidirect
84. #2714C22semidirect
85. #2711C22semidirect
86. #2710C22semidirect
87. #2706C22semidirect
88. #2705C22semidirect
89. #2704C22semidirect
90. #2702C22semidirect
91. #2701C22semidirect
92. #2698C22semidirect
93. #2697C22semidirect
94. #2696C22semidirect
95. #2691C22semidirect
96. #2686C22semidirect
97. #2686C22semidirect
98. #2685C22semidirect
99. #2685C22semidirect
100. #2685C22semidirect
101. #2684C22semidirect
102. #2684C22semidirect
103. #2682C22semidirect
104. #2681C22semidirect
105. #2681C22semidirect
106. #2680C22semidirect
108. #2678C22semidirect
109. #2676C22semidirect
110. #2675C22semidirect
111. #2672C22semidirect
112. #2671C22semidirect
113. #2671C22semidirect
114. #2670C22semidirect
115. #2670C22semidirect
116. #2670C22semidirect
117. #2668C22semidirect
118. #2639C22semidirect
119. #2636C22semidirect
121. #2635C22semidirect
122. #2630C22semidirect
123. #2628C22semidirect
124. #2626C22semidirect
125. #2626C22semidirect
126. #2626C22semidirect
127. #2620C22semidirect
128. #2616C22semidirect
129. #2616C22semidirect
131. #2615C22semidirect
132. #2612C22semidirect
133. #2610C22semidirect
134. #2603C22semidirect
135. #2603C22semidirect
136. #2602C22semidirect
137. #2598C22semidirect
138. #2591C22semidirect
140. #2580C22semidirect
141. #2580C22semidirect
142. #2566C22semidirect
143. #2566C22semidirect
144. #2563C22semidirect
145. #2563C22semidirect
146. #2563C22semidirect
147. #2559C22semidirect
148. #2559C22semidirect
149. #2555C22semidirect
150. #2553C22semidirect
151. #2542C22semidirect
152. #2542C22semidirect
153. #2540C22semidirect
156. #2538C22semidirect
157. #2537C22semidirect
158. #2537C22semidirect
159. #2536C22semidirect
160. #2534C22semidirect
161. #2532C22semidirect
162. #2505C22semidirect
163. #2500C22semidirect
164. #2497C22semidirect
165. #2497C22semidirect
166. #2496C22semidirect
167. #2495C22semidirect
168. #2492C22semidirect
169. #2491C22semidirect
170. #2491C22semidirect
171. #2491C22semidirect
173. #2487C22semidirect
174. #2485C22semidirect
175. #2485C22semidirect
176. #2476C22semidirect
177. #2476C22semidirect
178. #2472C22semidirect
179. #2465C22semidirect
180. #2465C22semidirect
181. #2465C22semidirect
182. #2463C22semidirect
183. #2461C22semidirect
184. #2458C22semidirect
185. #2450C22semidirect
186. #2440C22semidirect
187. #2440C22semidirect
188. #2437C22semidirect
189. #2437C22semidirect
190. #2432C22semidirect
191. #2430C22semidirect
192. #2430C22semidirect
193. #2429C22semidirect
194. #2427C22semidirect
195. #2426C22semidirect
196. #2426C22semidirect
197. #2426C22semidirect
198. #2426C22semidirect
199. #2424C22semidirect
200. #2424C22semidirect
201. #2424C22semidirect
202. #2423C22semidirect
203. #2422C22semidirect
204. #2421C22semidirect
205. #2420C22semidirect
206. #2417C22semidirect
207. #2417C22semidirect
208. #2416C22semidirect
209. #2415C22semidirect
211. #2414C22semidirect
212. #2410C22semidirect
213. #2410C22semidirect
214. #2410C22semidirect
216. #2409C22semidirect
217. #2409C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2408C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
229. #2407C22semidirect
230. #2406C22semidirect
231. #2406C22semidirect
232. #2405C22semidirect
233. #2405C22semidirect
240. #2388C22semidirect
241. #2388C22semidirect
242. #2361C22semidirect
243. #2360C22semidirect
244. #2352C22semidirect
245. D4×C4⋊C4C22semidirect
246. #2346C22semidirect
247. #2341C22semidirect
248. #2326C22semidirect
249. #2324C22semidirect
250. #2323C22semidirect
254. #2321C22semidirect
255. #2318C22semidirect
256. #2317C22semidirect
257. #2311C22semidirect
258. #2311C22semidirect
261. C4×#120C22semidirect
262. #2297C22semidirect
263. #2285C22semidirect
264. #2280C22semidirect
265. #2280C22semidirect
266. C2×#380C22semidirect

Maximal subgroups

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

subgroupindex
#588892
#571462
#567662
#563432
#550432
#534322
#530442
#530152
#530062
#478072
#476952
#471772
#470822
#470182
#468072
#452582
#451032
#449142
#398852
#398632
#396052
#389382
#379692
#378442
#377812
#376482
#372822
#352512
#351722
#350762
#347362