Finite Group Databasebeta

← #9704517

Subgroups — #9704517

Order 512.

4557 conjugacy classes of subgroups.

The subgroup lattice has 2193 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58318C212yesmaximal, complemented
2#57997C212yesmaximal, complemented
3#57083C212yesmaximal, complemented
4#55856C212yesmaximal, complemented
5#55727C212yesmaximal, complemented
6#55435C212yesmaximal, complemented
7#54956C212yesmaximal, complemented
8#53702C211yesmaximal, characteristic, complemented
9#53518C212yesmaximal, complemented
10#53507C212yesmaximal, complemented
11#53241C212yesmaximal, complemented
12#51796C211yesmaximal, characteristic, complemented
13#50680C212yesmaximal, complemented
14#50586C212yesmaximal, complemented
15#49797C212yesmaximal, complemented
16#49479C212yesmaximal, complemented
17#49130C212yesmaximal, complemented
18#47836C211yesmaximal, characteristic, complemented
19#46860C212yesmaximal, complemented
20#46510C212yesmaximal, complemented
21#46368C212yesmaximal, complemented
22#45356C211yesmaximal, characteristic, complemented
23#44325C211yesmaximal, characteristic, complemented
24#44161C212yesmaximal, complemented
25#43028C212yesmaximal, complemented
26#42992C211yesmaximal, characteristic, complemented
27#42035C211yesmaximal, characteristic, complemented
28#40669C212yesmaximal, complemented
29#40617C212yesmaximal, complemented
30#40420C212yesmaximal, complemented
31#40318C212yesmaximal, complemented
32#39967C212yesmaximal, complemented
33#39453C212yesmaximal, complemented
34#39256C212yesmaximal, complemented
35#39222C212yesmaximal, complemented
36C2×#554C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#539C2212yes—
39C2×#539C2211yescharacteristic
40C2×#537C2211yescharacteristic
41#2855C2212yes—
42#2854C2212yes—
43#2854C2212yes—
44#2843C2211yescharacteristic
45#2841C2212yes—
46#2837C2212yes—
47#2837C2212yes—
48#2837C2212yes—
49#2834C2211yescharacteristic
50#2832C2211yescharacteristic
51#2831C2212yes—
52#2829C2212yes—
53#2827C2212yes—
54#2824C2212yes—
55#2819C2212yes—
56#2813C2212yes—
57#2813C2212yes—
58#2808C2212yes—
59#2807C2212yes—
60#2807C2212yes—
61#2804C2211yescharacteristic
62#2802C2212yes—
63#2800C2212yes—
64#2800C2212yes—
65#2799C2212yes—
66#2797C2212yes—
67#2797C2212yes—
68#2788C2212yes—
69#2788C2212yes—
70#2788C2212yes—
71#2787C2212yes—
72#2784C2212yes—
73#2782C2212yes—
74#2780C2212yes—
75#2778C2212yes—
76#2778C2212yes—
77#2777C2212yes—
78#2777C2212yes—
79#2774C2212yes—
80#2773C2212yes—
81#2773C2212yes—
82#2769C2212yes—
83#2768C2212yes—
84#2768C2212yes—
85#2768C2212yes—
86#2765C2212yes—
87#2762C2212yes—
88#2756C2212yes—
89#2756C2212yes—
90#2755C2212yes—
91#2754C2212yes—
92#2750C2212yes—
93#2748C2211yescharacteristic
94#2746C2212yes—
95#2746C2212yes—
96#2746C2212yes—
97#2743C2212yes—
98#2742C2212yes—
99#2741C2212yes—
100#2741C2212yes—
101#2741C2212yes—
102#2741C2212yes—
103#2740C2212yes—
104#2740C2212yes—
105#2740C2212yes—
106#2737C2212yes—
107#2733C2212yes—
108#2732C2212yes—
109#2732C2212yes—
110#2732C2212yes—
111#2730C2212yes—
112#2729C2212yes—
113#2729C2212yes—
114#2729C2212yes—
115#2728C2212yes—
116#2726C2212yes—
117#2725C2212yes—
118#2723C2212yes—
119#2722C2212yes—
120#2719C2212yes—
121#2714C2212yes—
122#2714C2212yes—
123#2712C2211yescharacteristic
124#2711C2212yes—
125#2711C2212yes—
126#2710C2212yes—
127#2710C2212yes—
128#2708C2212yes—
129#2708C2212yes—
130#2707C2212yes—
131#2706C2212yes—
132#2706C2212yes—
133#2705C2212yes—
134#2705C2212yes—
135#2704C2212yes—
136#2703C2212yes—
137#2703C2212yes—
138#2702C2212yes—
139#2702C2212yes—
140#2702C2212yes—
141#2702C2212yes—
142#2701C2212yes—
143#2701C2212yes—
144#2700C2212yes—
145#2699C2212yes—
146#2699C2212yes—
147#2699C2212yes—
148#2699C2212yes—
149#2695C2212yes—
150#2695C2212yes—
151#2694C2212yes—
152#2694C2212yes—
153#2694C2212yes—
154#2693C2211yescharacteristic
155#2692C2212yes—
156#2692C2212yes—
157#2691C2212yes—
158#2690C2212yes—
159#2689C2212yes—
160#2688C2212yes—
161#2688C2212yes—
162#2688C2212yes—
163#2688C2212yes—
164#2687C2212yes—
165#2686C2212yes—
166#2686C2212yes—
167#2682C2212yes—
168#2682C2212yes—
169#2681C2212yes—
170#2681C2212yes—
171#2676C2212yes—
172#2676C2212yes—
173#2676C2212yes—
174#2675C2211yescharacteristic
175#2675C2212yes—
176#2675C2211yescharacteristic
177#2674C2212yes—
178#2673C2212yes—
179#2673C2212yes—
180#2672C2212yes—
181#2671C2212yes—
182#2671C2212yes—
183#2671C2212yes—
184#2671C2212yes—
185#2671C2212yes—
186#2671C2212yes—
187#2671C2212yes—
188#2671C2212yes—
189#2667C2212yes—
190#2667C2212yes—
191#2666C2212yes—
192#2663C2212yes—
193#2662C2212yes—
194#2661C2212yes—
195#2656C2212yes—
196#2655C2212yes—
197#2653C2212yes—
198#2651C2212yes—
199#2651C2212yes—
200#2649C2212yes—
201#2648C2212yes—
202#2647C2212yes—
203#2646C2212yes—
204#2636C2212yes—
205#2635C2211yescharacteristic
206#2631C2212yes—
207#2630C2212yes—
208#2630C2212yes—
209#2627C2212yes—
210#2624C2212yes—
211#2616C2211yescharacteristic
212#2615C2211yescharacteristic
213#2612C2212yes—
214#2608C2212yes—
215#2607C2212yes—
216#2606C2212yes—
217#2602C2212yes—
218#2597C2212yes—
219#2597C2212yes—
220#2594C2212yes—
221#2591C2212yes—
222#2591C2212yes—
223#2590C2212yes—
224#2589C2212yes—
225#2589C2212yes—
226#2587C2212yes—
227#2585C2212yes—
228#2583C2212yes—
229#2583C2212yes—
230#2579C2211yescharacteristic
231#2579C2212yes—
232#2578C2212yes—
233#2578C2212yes—
234#2578C2212yes—
235#2575C2212yes—
236#2574C2212yes—
237#2573C2212yes—
238#2572C2211yescharacteristic
239#2564C2212yes—
240#2560C2212yes—
241#2560C2212yes—
242#2559C2212yes—
243#2559C2212yes—
244#2558C2212yes—
245#2558C2212yes—
246#2557C2212yes—
247#2555C2212yes—
248#2555C2212yes—
249#2555C2212yes—
250#2553C2212yes—
251#2553C2212yes—
252#2549C2212yes—
253#2547C2212yes—
254#2543C2212yes—
255#2543C2212yes—
256#2543C2212yes—
257#2540C2212yes—
258#2537C2211yescharacteristic
259#2536C2212yes—
260#2536C2212yes—
261#2536C2211yescharacteristic
262#2535C2211yescharacteristic
263#2535C2212yes—
264#2523C2211yescharacteristic
265#2522C2212yes—
266#2521C2212yes—
267#2520C2212yes—
268#2519C2212yes—
269#2519C2212yes—
270#2519C2212yes—
271#2517C2212yes—
272#2513C2212yes—
273#2505C2212yes—
274#2503C2211yescharacteristic
275#2495C2212yes—
276#2495C2212yes—
277#2494C2212yes—
278#2491C2212yes—
279#2488C2212yes—
280#2488C2212yes—
281#2487C2212yes—
282#2487C2211yescharacteristic
283#2476C2212yes—
284#2473C2212yes—
285#2473C2212yes—
286#2473C2212yes—
287#2471C2212yes—
288#2467C2212yes—
289#2467C2212yes—
290#2467C2212yes—
291#2466C2212yes—
292#2464C2212yes—
293#2464C2212yes—
294#2464C2212yes—
295#2464C2212yes—
296#2464C2212yes—
297#2463C2212yes—
298#2463C2211yescharacteristic
299#2459C2212yes—
300#2458C2212yes—
301#2456C2212yes—
302#2456C2212yes—
303#2455C2212yes—
304#2455C2211yescharacteristic
305#2453C2212yes—
306#2451C2212yes—
307#2450C2212yes—
308#2450C2212yes—
309#2449C2212yes—
310#2449C2212yes—
311#2447C2212yes—
312#2444C2212yes—
313#2443C2212yes—
314#2443C2212yes—
315#2443C2212yes—
316#2443C2212yes—
317#2443C2212yes—
318#2442C2212yes—
319#2442C2212yes—
320#2439C2212yes—
321#2438C2212yes—
322#2430C2212yes—
323#2429C2212yes—
324#2428C2212yes—
325#2428C2212yes—
326#2428C2212yes—
327#2428C2212yes—
328#2427C2212yes—
329#2427C2212yes—
330#2425C2212yes—
331#2425C2212yes—
332#2420C2212yes—
333#2419C2212yes—
334#2417C2212yes—
335#2416C2212yes—
336#2416C2212yes—
337#2416C2212yes—
338#2416C2212yes—
339#2416C2212yes—
340#2407C2212yes—
341#2407C2212yes—
342#2407C2212yes—
343#2407C2212yes—
344#2407C2212yes—
345#2406C2211yescharacteristic
346#2397C2211yescharacteristic
347C2×#398C2212yes—
348#2388C2211yescharacteristic
349#2379C2211yescharacteristic
350#2378C2211yescharacteristic
351#2377C2212yes—
352#2372C2211yescharacteristic
353#2364C2212yes—
354#2364C2212yes—
355#2361C2212yes—
356#2361C2212yes—
357#2361C2212yes—
358#2360C2212yes—
359#2357C2212yes—
360#2353C2212yes—
361#2353C2212yes—
362D4×C4⋊C4C2212yes—
363#2341C2211yescharacteristic
364#2337C2212yes—
365#2337C2212yes—
366#2333C2212yes—
367#2331C2211yescharacteristic
368#2329C2212yes—
369#2328C2212yes—
370#2326C2211yescharacteristic
371#2324C2212yes—
372#2322C2212yes—
373#2318C2212yes—
374#2318C2212yes—
375C4×C22⋊Q8C2212yes—
376C4×#121C2212yes—
377C4×#121C2212yes—
378#2290C2212yes—
379C22×#41C2311yescharacteristic
380C22×#41C2311yescharacteristic
381C22×#41C2311yescharacteristic
382#554—44no—
383#547—44no—
384#539—48no—
385#539—44no—
386#537—44no—
387C2×C4⋊Q8C2311yescharacteristic
388C2×C4⋊Q8C2312yes—
389C2×#127C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#124C2311yescharacteristic
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×#117C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2311yescharacteristic
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2311yescharacteristic
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2312yes—
490C22×C42C2312yes—
491#401C2312yes—
492#401C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2311yescharacteristic
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2311yescharacteristic
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2311yescharacteristic
593#397C2312yes—
594#397C2311yescharacteristic
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2311yescharacteristic
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2311yescharacteristic
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2311yescharacteristic
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2311yescharacteristic
702#392C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#392C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2311yescharacteristic
716#392C2312yes—
717#392C2311yescharacteristic
718#392C2312yes—
719#392C2312yes—
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2311yescharacteristic
725#392C2312yes—
726#392C2312yes—
727#392C2311yescharacteristic
728#392C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2311yescharacteristic
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2311yescharacteristic
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2311yescharacteristic
930#386C2311yescharacteristic
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2311yescharacteristic
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2311yescharacteristic
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2311yescharacteristic
985#385C2312yes—
986#385C2311yescharacteristic
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2311yescharacteristic
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2311yescharacteristic
1017#385C2312yes—
1018#384C2311yescharacteristic
1019#383C2312yes—
1020#383C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2311yescharacteristic
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2311yescharacteristic
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2311yescharacteristic
1049#380C2312yes—
1050#380C2312yes—
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2311yescharacteristic
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097#376C2311yescharacteristic
1098#376C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C2×#41—24no—
1104C2×#41—42no—
1105C2×#41—42no—
1106C2×#41—82no—
1107C2×#41—82no—
1108C2×#41—82no—
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2412yes—
1113C22×Q8C2412yes—
1114C22×Q8C2411yescharacteristic
1115C22×D4C2411yescharacteristic
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2411yescharacteristic
1125C22×D4C2412yes—
1126C22×D4C2411yescharacteristic
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2411yescharacteristic
1132C22×D4C2412yes—
1133C22×D4C2412yes—
1134C22×D4C2412yes—
1135C22×D4C2412yes—
1136C22×D4C2411yescharacteristic
1137C22×D4C2412yes—
1138C22×D4C2412yes—
1139C22×D4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2411yescharacteristic
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2411yescharacteristic
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2411yescharacteristic
1155C23×C4C2411yescharacteristic
1156C23×C4C2412yes—
1157C23×C4C2411yescharacteristic
1158C23×C4C2412yes—
1159C23×C4C2411yescharacteristic
1160C23×C4C2412yes—
1161C23×C4C2412yes—
1162C4⋊Q8—24no—
1163C4⋊Q8—82no—
1164#127—44no—
1165#126—44no—
1166#126—44no—
1167#126—44no—
1168#126—82no—
1169#126—82no—
1170#125—44no—
1171#125—44no—
1172#125—44no—
1173#125—44no—
1174#124—24no—
1175#124—44no—
1176#124—44no—
1177#124—82no—
1178#124—82no—
1179#124—82no—
1180#123—44no—
1181#123—44no—
1182#123—44no—
1183#123—44no—
1184#123—44no—
1185#123—44no—
1186#123—44no—
1187#123—44no—
1188#123—44no—
1189#123—82no—
1190#123—82no—
1191#123—82no—
1192#123—82no—
1193C22⋊Q8—28no—
1194C22⋊Q8—28no—
1195C22⋊Q8—24no—
1196C22⋊Q8—28no—
1197C22⋊Q8—44no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—42no—
1201C22⋊Q8—82no—
1202C22⋊Q8—82no—
1203C22⋊Q8—82no—
1204C22⋊Q8—82no—
1205C22⋊Q8—82no—
1206C22⋊Q8—82no—
1207#121—44no—
1208#121—44no—
1209#121—42no—
1210#121—44no—
1211#121—44no—
1212#121—44no—
1213#121—44no—
1214#121—44no—
1215#121—44no—
1216#121—44no—
1217#121—44no—
1218#121—44no—
1219#121—44no—
1220#121—44no—
1221#121—44no—
1222#121—44no—
1223#121—44no—
1224#121—82no—
1225#121—82no—
1226#121—82no—
1227#121—82no—
1228#121—82no—
1229#121—82no—
1230#121—82no—
1231#121—82no—
1232#121—82no—
1233#121—82no—
1234#121—82no—
1235#121—82no—
1236#121—82no—
1237C4×Q8—42no—
1238C4×Q8—82no—
1239C4×D4—28no—
1240C4×D4—28no—
1241C4×D4—42no—
1242C4×D4—42no—
1243C4×D4—42no—
1244C4×D4—44no—
1245C4×D4—44no—
1246C4×D4—44no—
1247C4×D4—44no—
1248C4×D4—44no—
1249C4×D4—82no—
1250C4×D4—82no—
1251C4×D4—82no—
1252C4×D4—82no—
1253C4×D4—82no—
1254C4×D4—82no—
1255C4×D4—82no—
1256C4×D4—82no—
1257#117—82no—
1258C2×C4⋊C4—42no—
1259C2×C4⋊C4—42no—
1260C2×C4⋊C4—44no—
1261C2×C4⋊C4—44no—
1262C2×C4⋊C4—44no—
1263C2×C4⋊C4—82no—
1264C2×C4⋊C4—82no—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2411yescharacteristic
1375C2×C22⋊C4C2411yescharacteristic
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2411yescharacteristic
1390C2×C22⋊C4C2411yescharacteristic
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2411yescharacteristic
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2411yescharacteristic
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C42—82no—
1438C2×C42C2411yescharacteristic
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2411yescharacteristic
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2411yescharacteristic
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2411yescharacteristic
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2411yescharacteristic
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2411yescharacteristic
1528#95C2411yescharacteristic
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2411yescharacteristic
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2411yescharacteristic
1554#95C2412yes—
1555#95C2412yes—
1556C24C2512yes—
1557C24C2512yes—
1558C24C2511yescharacteristic
1559C24C2511yescharacteristic
1560C24C2512yes—
1561C24C2512yes—
1562#41—88no—
1563#41—88no—
1564#41—88no—
1565C2×Q8—22no—
1566C2×Q8—22no—
1567C2×Q8—42no—
1568C2×Q8—41no—
1569C2×Q8—41no—
1570C2×Q8—41no—
1571C2×Q8—42no—
1572C2×Q8—42no—
1573C2×Q8—42no—
1574C2×Q8—42no—
1575C2×Q8—42no—
1576C2×Q8—42no—
1577C2×Q8—42no—
1578C2×Q8—42no—
1579C2×Q8H(5,𝔽2)14yes—
1580C2×D4—24no—
1581C2×D4—24no—
1582C2×D4—24no—
1583C2×D4—24no—
1584C2×D4—24no—
1585C2×D4—24no—
1586C2×D4—24no—
1587C2×D4—24no—
1588C2×D4—24no—
1589C2×D4—22no—
1590C2×D4—24no—
1591C2×D4—24no—
1592C2×D4—24no—
1593C2×D4—22no—
1594C2×D4—41no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—41no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—41no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—41no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—41no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—42no—
1641C2×D4—42no—
1642C2×D4—42no—
1643C2×D4—42no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—42no—
1647C2×D4—42no—
1648C2×D4—42no—
1649C2×D4—42no—
1650C2×D4—42no—
1651C22×C4—24no—
1652C22×C4—22no—
1653C22×C4—24no—
1654C22×C4—22no—
1655C22×C4—24no—
1656C22×C4—24no—
1657C22×C4—24no—
1658C22×C4—24no—
1659C22×C4—24no—
1660C22×C4—24no—
1661C22×C4—24no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—41no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—41no—
1694C22×C4—42no—
1695C22×C4—42no—
1696C22×C4—41no—
1697C22×C4—41no—
1698C22×C4—42no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2512yes—
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2511yescharacteristic
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2512yes—
1725C22×C4C2512yes—
1726C22×C4C2512yes—
1727C22×C4C2512yes—
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2511yescharacteristic
1733C22×C4C2512yes—
1734C22×C4C2511yescharacteristic
1735C22×C4C2512yes—
1736C22×C4C2511yescharacteristic
1737C22×C4C2512yes—
1738C22×C4C2512yes—
1739C22×C4C2511yescharacteristic
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—24no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—22no—
1749C4⋊C4—24no—
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—24no—
1755C4⋊C4—41no—
1756C4⋊C4—41no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—41no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—41no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—41no—
1842C22⋊C4—41no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—41no—
1876C22⋊C4—41no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—41no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—41no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C42—22no—
1913C42—42no—
1914C42—42no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—41no—
1924C42—42no—
1925C42—42no—
1926C42—42no—
1927C42—42no—
1928C42—42no—
1929C42—42no—
1930C42—42no—
1931C42—42no—
1932C42—42no—
1933C422−1+414yes—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—21no—
1943C23—21no—
1944C23—22no—
1945C23—21no—
1946C23—21no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—22no—
1956C23—22no—
1957C23—22no—
1958C23—22no—
1959C23—22no—
1960C23—22no—
1961C23—21no—
1962C23—21no—
1963C23—22no—
1964C23—22no—
1965C23—22no—
1966C23—22no—
1967C23—22no—
1968C23—22no—
1969C23—22no—
1970C23—22no—
1971C23#58514yes—
1972C23C2611yescharacteristic
1973Q8—44no—
1974Q8—82no—
1975Q8—82no—
1976Q8—82no—
1977Q8—162no—
1978Q8—162no—
1979D4—48no—
1980D4—44no—
1981D4—44no—
1982D4—82no—
1983D4—84no—
1984D4—84no—
1985D4—84no—
1986D4—84no—
1987D4—84no—
1988D4—84no—
1989D4—84no—
1990D4—84no—
1991D4—84no—
1992D4—84no—
1993D4—84no—
1994D4—84no—
1995D4—82no—
1996D4—84no—
1997D4—84no—
1998D4—162no—
1999D4—162no—
2000D4—161no—
2001D4—162no—
2002D4—162no—
2003D4—162no—
2004C2×C4—21no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—21no—
2010C2×C4—22no—
2011C2×C4—21no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—21no—
2024C2×C4—21no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—44no—
2084C2×C4—84no—
2085C2×C4—84no—
2086C2×C4—84no—
2087C2×C4—84no—
2088C2×C4—84no—
2089C2×C4—84no—
2090C2×C4—82no—
2091C2×C4—84no—
2092C2×C4—84no—
2093C2×C4—84no—
2094C2×C4—82no—
2095C2×C4—84no—
2096C2×C4—84no—
2097C2×C4—84no—
2098C2×C4—161no—
2099C2×C4—161no—
2100C2×C4—161no—
2101C2×C4—162no—
2102C2×C4—162no—
2103C2×C4—162no—
2104C2×C4—162no—
2105C2×C4C2×H(5,𝔽2)12yes—
2106C2×C4C2×H(5,𝔽2)14yes—
2107C2×C4C2×2−1+414yes—
2108C2×C4C2×2−1+412yes—
2109C22—24no—
2110C22—24no—
2111C22—24no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—41no—
2117C22—41no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—41no—
2122C22—42no—
2123C22—41no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22—42no—
2129C22—42no—
2130C22—42no—
2131C22—42no—
2132C22—42no—
2133C22—42no—
2134C22—42no—
2135C22—41no—
2136C22—41no—
2137C22—42no—
2138C22—42no—
2139C22—42no—
2140C22—42no—
2141C22—42no—
2142C22—42no—
2143C22—42no—
2144C22—42no—
2145C22—42no—
2146C22—42no—
2147C22C22×H(5,𝔽2)11yescharacteristic
2148C22C22×2−1+411yescharacteristic
2149C22C2×#58512yes—
2150C22H(7,𝔽2)12yes—
2151C22H(7,𝔽2)11yescharacteristic
2152C4—22no—
2153C4—24no—
2154C4—22no—
2155C4—24no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—42no—
2160C4—41no—
2161C4—41no—
2162C4—41no—
2163C4—42no—
2164C4—42no—
2165C4—42no—
2166C4—42no—
2167C4—42no—
2168C4—42no—
2169C4—42no—
2170C4—42no—
2171C4—42no—
2172C4—42no—
2173C4—42no—
2174C4—42no—
2175C4—42no—
2176C4—42no—
2177C4—42no—
2178C4—42no—
2179C4—42no—
2180C4—42no—
2181C2—44no—
2182C2—81no—
2183C2—81no—
2184C2—82no—
2185C2—82no—
2186C2—82no—
2187C2#6286311yescharacteristic
2188C2#6287012yes—
2189C2#6291711yescharacteristic
2190C2#6295812yes—
2191C2#6302011yescharacteristic
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. #58318C2semidirect
2. #57997C2semidirect
3. #57083C2semidirect
4. #55856C2semidirect
5. #55727C2semidirect
6. #55435C2semidirect
7. #54956C2semidirect
8. #53702C2semidirect
9. #53518C2semidirect
10. #53507C2semidirect
11. #53241C2semidirect
12. #51796C2semidirect
13. #50680C2semidirect
14. #50586C2semidirect
15. #49797C2semidirect
16. #49479C2semidirect
17. #49130C2semidirect
18. #47836C2semidirect
19. #46860C2semidirect
20. #46510C2semidirect
21. #46368C2semidirect
22. #45356C2semidirect
23. #44325C2semidirect
24. #44161C2semidirect
25. #43028C2semidirect
26. #42992C2semidirect
27. #42035C2semidirect
28. #40669C2semidirect
29. #40617C2semidirect
30. #40420C2semidirect
31. #40318C2semidirect
32. #39967C2semidirect
33. #39453C2semidirect
34. #39256C2semidirect
35. #39222C2semidirect

Maximal subgroups

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

subgroupindex
#583182
#579972
#570832
#558562
#557272
#554352
#549562
#537022
#535182
#535072
#532412
#517962
#506802
#505862
#497972
#494792
#491302
#478362
#468602
#465102
#463682
#453562
#443252
#441612
#430282
#429922
#420352
#406692
#406172
#404202
#403182
#399672
#394532
#392562
#392222