Finite Group Databasebeta

← #9243622

Subgroups — #9243622

Order 512.

4477 conjugacy classes of subgroups.

The subgroup lattice has 2191 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59212C211yesmaximal, characteristic, complemented
2#58885C212yesmaximal, complemented
3#57224C212yesmaximal, complemented
4#56705C212yesmaximal, complemented
5#56474C212yesmaximal, complemented
6#55722C212yesmaximal, complemented
7#54750C212yesmaximal, complemented
8#54060C212yesmaximal, complemented
9#53933C212yesmaximal, complemented
10#53838C212yesmaximal, complemented
11#53754C212yesmaximal, complemented
12#53558C212yesmaximal, complemented
13#53538C212yesmaximal, complemented
14#52753C212yesmaximal, complemented
15#51920C212yesmaximal, complemented
16#51537C212yesmaximal, complemented
17#49565C212yesmaximal, complemented
18#48466C212yesmaximal, complemented
19#48083C212yesmaximal, complemented
20#47921C212yesmaximal, complemented
21#47911C212yesmaximal, complemented
22#47869C212yesmaximal, complemented
23#46876C212yesmaximal, complemented
24#46366C212yesmaximal, complemented
25#45792C211yesmaximal, characteristic, complemented
26#43625C212yesmaximal, complemented
27#42052C212yesmaximal, complemented
28#41768C212yesmaximal, complemented
29#41244C212yesmaximal, complemented
30#40618C212yesmaximal, complemented
31#39608C211yesmaximal, characteristic, complemented
32#39580C211yesmaximal, characteristic, complemented
33#39371C211yesmaximal, characteristic, complemented
34#37876C211yesmaximal, characteristic, complemented
35#37459C211yesmaximal, characteristic, complemented
36C2×#562C2212yescomplemented
37C2×#539C2211yescharacteristic
38C2×#538C2211yescharacteristic
39C2×#537C2212yes—
40#2857C2211yescharacteristic
41#2855C2211yescharacteristic
42#2844C2212yescomplemented
43#2841C2212yes—
44#2839C2212yescomplemented
45#2838C2212yes—
46#2838C2212yescomplemented
47#2837C2212yes—
48#2836C2212yes—
49#2835C2212yescomplemented
50#2835C2212yescomplemented
51#2833C2212yescomplemented
52#2832C2212yes—
53#2832C2212yescomplemented
54#2829C2212yes—
55#2828C2212yes—
56#2827C2212yescomplemented
57#2824C2212yes—
58#2824C2212yes—
59#2820C2212yes—
60#2814C2212yes—
61#2810C2211yescharacteristic, complemented
62#2808C2211yescharacteristic, complemented
63#2807C2212yes—
64#2807C2212yescomplemented
65#2806C2211yescharacteristic, complemented
66#2804C2211yescharacteristic, complemented
67#2803C2212yescomplemented
68#2802C2212yescomplemented
69#2800C2212yes—
70#2796C2212yes—
71#2790C2212yes—
72#2790C2212yescomplemented
73#2790C2212yescomplemented
74#2788C2212yes—
75#2783C2212yes—
76#2782C2212yes—
77#2782C2212yes—
78#2782C2212yescomplemented
79#2781C2212yes—
80#2781C2212yes—
81#2781C2212yescomplemented
82#2779C2212yes—
83#2778C2212yes—
84#2778C2212yes—
85#2777C2212yescomplemented
86#2776C2212yescomplemented
87#2775C2212yes—
88#2774C2212yescomplemented
89#2774C2212yescomplemented
90#2774C2212yescomplemented
91#2768C2212yes—
92#2768C2212yescomplemented
93#2765C2212yes—
94#2765C2212yescomplemented
95#2763C2212yes—
96#2763C2212yes—
97#2763C2212yescomplemented
98#2763C2212yescomplemented
99#2762C2212yescomplemented
100#2759C2212yescomplemented
101#2757C2212yes—
102#2755C2212yescomplemented
103#2753C2212yes—
104#2753C2212yes—
105#2753C2212yescomplemented
106#2749C2212yes—
107#2748C2212yes—
108#2746C2212yes—
109#2746C2212yescomplemented
110#2743C2212yes—
111#2743C2212yes—
112#2741C2212yescomplemented
113#2740C2212yescomplemented
114#2739C2212yescomplemented
115#2739C2212yescomplemented
116#2738C2212yescomplemented
117#2734C2211yescharacteristic, complemented
118#2732C2211yescharacteristic, complemented
119#2732C2211yescharacteristic, complemented
120#2731C2212yes—
121#2731C2212yes—
122#2729C2212yes—
123#2725C2212yes—
124#2723C2212yes—
125#2723C2212yes—
126#2720C2212yes—
127#2720C2212yes—
128#2720C2212yes—
129#2719C2212yescomplemented
130#2718C2212yes—
131#2715C2212yescomplemented
132#2713C2212yescomplemented
133#2713C2212yescomplemented
134#2711C2212yes—
135#2710C2212yes—
136#2708C2212yes—
137#2708C2212yes—
138#2708C2212yes—
139#2708C2212yes—
140#2708C2212yescomplemented
141#2707C2212yescomplemented
142#2706C2212yes—
143#2706C2212yes—
144#2704C2212yescomplemented
145#2702C2212yes—
146#2701C2212yes—
147#2701C2212yes—
148#2700C2212yes—
149#2700C2212yescomplemented
150#2698C2212yes—
151#2698C2212yes—
152#2698C2212yescomplemented
153#2694C2212yescomplemented
154#2694C2212yescomplemented
155#2693C2212yes—
156#2692C2212yes—
157#2692C2212yes—
158#2692C2212yes—
159#2692C2212yes—
160#2691C2212yes—
161#2691C2212yes—
162#2691C2212yescomplemented
163#2690C2212yescomplemented
164#2689C2212yescomplemented
165#2688C2212yes—
166#2687C2212yescomplemented
167#2686C2212yes—
168#2686C2212yes—
169#2686C2212yescomplemented
170#2685C2212yes—
171#2684C2212yes—
172#2683C2212yes—
173#2682C2211yescharacteristic, complemented
174#2682C2212yescomplemented
175#2681C2212yes—
176#2681C2212yes—
177#2681C2212yes—
178#2680C2212yescomplemented
179#2677C2212yescomplemented
180#2676C2212yes—
181#2674C2212yes—
182#2674C2212yescomplemented
183#2674C2212yescomplemented
184#2672C2212yes—
185#2672C2212yes—
186#2672C2212yes—
187#2671C2212yes—
188#2671C2212yes—
189#2671C2212yes—
190#2671C2212yescomplemented
191#2668C2212yes—
192#2668C2212yes—
193#2666C2212yescomplemented
194#2666C2212yescomplemented
195#2666C2212yescomplemented
196#2664C2212yes—
197#2663C2212yescomplemented
198#2663C2212yescomplemented
199#2661C2212yes—
200#2659C2211yescharacteristic
201#2659C2212yescomplemented
202#2656C2211yescharacteristic
203#2653C2212yes—
204#2653C2212yes—
205#2652C2212yes—
206#2651C2212yes—
207#2650C2212yes—
208#2649C2212yes—
209#2649C2212yes—
210#2646C2211yescharacteristic
211#2639C2212yes—
212#2639C2212yescomplemented
213#2636C2212yes—
214#2635C2212yes—
215#2635C2212yes—
216#2628C2212yes—
217#2627C2211yescharacteristic
218#2627C2212yescomplemented
219#2626C2211yescharacteristic
220#2626C2211yescharacteristic
221#2621C2212yescomplemented
222#2620C2212yes—
223#2617C2211yescharacteristic
224#2617C2211yescharacteristic
225#2609C2212yes—
226#2609C2212yes—
227#2602C2212yescomplemented
228#2600C2212yescomplemented
229#2595C2212yescomplemented
230#2595C2212yescomplemented
231#2593C2212yes—
232#2591C2212yes—
233#2589C2212yes—
234#2589C2212yescomplemented
235#2589C2212yescomplemented
236#2587C2212yes—
237#2585C2212yescomplemented
238#2583C2212yescomplemented
239#2578C2212yes—
240#2577C2212yescomplemented
241#2576C2212yes—
242#2575C2212yescomplemented
243#2574C2212yes—
244#2572C2212yes—
245#2571C2211yescharacteristic, complemented
246#2570C2212yescomplemented
247#2564C2212yes—
248#2564C2212yes—
249#2563C2212yes—
250#2563C2211yescharacteristic, complemented
251#2559C2212yes—
252#2558C2212yes—
253#2557C2212yes—
254#2557C2212yes—
255#2556C2212yes—
256#2556C2212yescomplemented
257#2555C2212yes—
258#2555C2212yes—
259#2554C2212yescomplemented
260#2553C2212yescomplemented
261#2551C2211yescharacteristic, complemented
262#2549C2212yescomplemented
263#2549C2212yescomplemented
264#2537C2211yescharacteristic, complemented
265#2535C2212yes—
266#2534C2212yes—
267#2521C2212yes—
268#2519C2212yes—
269#2518C2212yes—
270#2518C2212yescomplemented
271#2517C2212yescomplemented
272#2516C2212yes—
273#2516C2212yes—
274#2515C2212yescomplemented
275#2510C2212yes—
276#2508C2212yescomplemented
277#2505C2212yescomplemented
278#2505C2212yescomplemented
279#2504C2212yescomplemented
280#2498C2212yescomplemented
281#2497C2212yescomplemented
282#2494C2212yescomplemented
283#2494C2212yescomplemented
284#2489C2212yescomplemented
285#2489C2212yescomplemented
286#2488C2212yes—
287#2488C2212yescomplemented
288#2488C2212yescomplemented
289#2488C2212yescomplemented
290#2487C2212yes—
291#2485C2212yes—
292#2481C2212yes—
293#2481C2212yes—
294#2479C2212yes—
295#2479C2212yescomplemented
296#2478C2212yescomplemented
297#2474C2212yes—
298#2473C2212yescomplemented
299#2473C2212yescomplemented
300#2472C2212yes—
301#2464C2212yes—
302#2464C2212yes—
303#2464C2212yes—
304#2464C2212yes—
305#2463C2212yes—
306#2457C2212yes—
307#2457C2212yes—
308#2452C2212yes—
309#2452C2212yescomplemented
310#2450C2212yes—
311#2449C2212yes—
312#2449C2212yes—
313#2449C2212yescomplemented
314#2444C2212yes—
315#2443C2212yes—
316#2443C2212yes—
317#2442C2212yes—
318#2442C2212yescomplemented
319#2440C2212yescomplemented
320#2440C2212yescomplemented
321#2439C2212yes—
322#2438C2212yes—
323#2437C2212yes—
324#2432C2212yes—
325#2432C2212yes—
326#2430C2212yes—
327#2430C2212yes—
328#2430C2212yes—
329#2430C2212yescomplemented
330#2427C2212yes—
331#2427C2212yescomplemented
332#2425C2212yes—
333#2425C2212yes—
334#2425C2212yescomplemented
335#2424C2212yes—
336#2424C2212yes—
337#2424C2212yes—
338#2419C2212yes—
339#2418C2212yes—
340#2416C2212yes—
341#2416C2212yes—
342#2414C2212yes—
343#2414C2212yes—
344#2413C2212yescomplemented
345#2411C2212yes—
346#2407C2212yes—
347#2407C2212yescomplemented
348#2406C2212yes—
349#2406C2212yescomplemented
350#2406C2212yescomplemented
351#2404C2212yes—
352#2395C2212yes—
353C2×#400C2212yescomplemented
354#2377C2212yes—
355#2377C2212yes—
356#2369C2211yescharacteristic, complemented
357#2364C2212yescomplemented
358#2363C2212yescomplemented
359#2359C2212yes—
360#2359C2212yescomplemented
361#2354C2211yescharacteristic, complemented
362#2352C2212yes—
363#2349C2212yes—
364D4×C4⋊C4C2211yescharacteristic, complemented
365D4×C4⋊C4C2211yescharacteristic, complemented
366#2342C2212yes—
367#2332C2212yescomplemented
368#2329C2211yescharacteristic
369#2325C2212yes—
370#2324C2212yes—
371#2318C2212yes—
372#2318C2212yescomplemented
373#2315C2211yescharacteristic
374C4×#121C2211yescharacteristic
375C4×#121C2211yescharacteristic
376C4×#121C2211yescharacteristic
377C2×#388C2211yescharacteristic
378#2285C2211yescharacteristic
379C22×#41C2312yes—
380C22×#41C2312yes—
381#562—48no—
382#539—44no—
383#538—44no—
384#537—48no—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#124C2312yes—
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
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×C22⋊Q8C2312yes—
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
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×#120C2312yes—
454C2×#120C2312yes—
455C2×#120C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C22⋊C4C2311yescharacteristic
478C22×C22⋊C4C2311yescharacteristic
479C22×C22⋊C4C2311yescharacteristic
480C22×C22⋊C4C2312yes—
481C22×C42C2311yescharacteristic
482#401C2312yes—
483#401C2312yes—
484#401C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
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#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
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#399C2312yes—
538#399C2312yes—
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#397C2312yes—
576#397C2312yes—
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#397C2312yes—
593#397C2312yes—
594#397C2312yes—
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#397C2312yes—
608#397C2312yes—
609#397C2312yes—
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#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
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#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#393C2312yes—
713#393C2312yes—
714#393C2312yes—
715#393C2312yes—
716#393C2312yes—
717#393C2312yes—
718#392C2312yes—
719#392C2312yes—
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#392C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2311yescharacteristic
738#391C2312yes—
739#391C2311yescharacteristic
740#391C2311yescharacteristic
741#391C2311yescharacteristic
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2311yescharacteristic
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2311yescharacteristic
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2311yescharacteristic
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2311yescharacteristic
771#389C2312yes—
772#389C2311yescharacteristic
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2311yescharacteristic
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2311yescharacteristic
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2311yescharacteristic
797#389C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
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#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
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#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
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#386C2312yes—
930#386C2312yes—
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#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
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#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
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#384C2312yes—
1010#384C2311yescharacteristic
1011#384C2311yescharacteristic
1012#384C2311yescharacteristic
1013#383C2312yes—
1014#383C2312yes—
1015#383C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#380C2311yescharacteristic
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2311yescharacteristic
1048#380C2312yes—
1049#380C2311yescharacteristic
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2311yescharacteristic
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2311yescharacteristic
1060#380C2311yescharacteristic
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#379C2312yes—
1066#379C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2311yescharacteristic
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
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—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C25C2411yescharacteristic
1103C2×#41—44no—
1104C2×#41—44no—
1105C2×#41—82no—
1106C2×#41—82no—
1107C2×#41—82no—
1108C2×#41—82no—
1109C22×Q8C2412yes—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2411yescharacteristic
1115C22×Q8C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2411yescharacteristic
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2411yescharacteristic
1134C23×C4C2411yescharacteristic
1135C23×C4C2411yescharacteristic
1136C23×C4C2411yescharacteristic
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2411yescharacteristic
1144C23×C4C2412yes—
1145C23×C4C2411yescharacteristic
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2411yescharacteristic
1155C4⋊Q8—42no—
1156C4⋊Q8—82no—
1157C4⋊Q8—82no—
1158C4⋊Q8—82no—
1159#126—44no—
1160#126—44no—
1161#126—82no—
1162#126—82no—
1163#125—44no—
1164#125—44no—
1165#125—82no—
1166#125—82no—
1167#124—44no—
1168#124—44no—
1169#124—44no—
1170#124—82no—
1171#124—82no—
1172#123—28no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179#123—82no—
1180#123—82no—
1181#123—82no—
1182#123—82no—
1183#123—82no—
1184#123—82no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189C22⋊Q8—44no—
1190C22⋊Q8—44no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—42no—
1195C22⋊Q8—42no—
1196C22⋊Q8—42no—
1197C22⋊Q8—44no—
1198C22⋊Q8—82no—
1199C22⋊Q8—82no—
1200C22⋊Q8—82no—
1201C22⋊Q8—82no—
1202C22⋊Q8—82no—
1203#121—28no—
1204#121—28no—
1205#121—28no—
1206#121—24no—
1207#121—24no—
1208#121—24no—
1209#121—44no—
1210#121—44no—
1211#121—44no—
1212#121—44no—
1213#121—44no—
1214#121—44no—
1215#121—44no—
1216#121—44no—
1217#121—82no—
1218#121—82no—
1219#121—82no—
1220#121—82no—
1221#121—82no—
1222#121—82no—
1223#120—44no—
1224#120—82no—
1225#120—82no—
1226C4×D4—28no—
1227C4×D4—42no—
1228C4×D4—42no—
1229C4×D4—42no—
1230C4×D4—44no—
1231C4×D4—44no—
1232C4×D4—44no—
1233C4×D4—82no—
1234C4×D4—82no—
1235C4×D4—82no—
1236C4×D4—82no—
1237C4×D4—82no—
1238#117—82no—
1239#117—82no—
1240#117—82no—
1241#117—82no—
1242C2×C4⋊C4—44no—
1243C2×C4⋊C4—42no—
1244C2×C4⋊C4—82no—
1245C2×C4⋊C4—82no—
1246C2×C4⋊C4—82no—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2411yescharacteristic
1254C2×C4⋊C4C2411yescharacteristic
1255C2×C4⋊C4C2411yescharacteristic
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2411yescharacteristic
1259C2×C4⋊C4C2411yescharacteristic
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C22⋊C4—24no—
1336C2×C22⋊C4—42no—
1337C2×C22⋊C4—42no—
1338C2×C22⋊C4—82no—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊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⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C42—42no—
1427C2×C42C2411yescharacteristic
1428C2×C42C2411yescharacteristic
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2411yescharacteristic
1447C2×C42C2411yescharacteristic
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
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#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
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#95C2412yes—
1528#95C2412yes—
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#95C2412yes—
1548C24—22no—
1549C24—41no—
1550C24—41no—
1551C24—41no—
1552C24—41no—
1553C24—41no—
1554C24—41no—
1555C24C2512yes—
1556C24C2512yes—
1557C24C2512yes—
1558C24C2512yes—
1559C24C2511yescharacteristic
1560#41—816no—
1561#41—816no—
1562C2×Q8—42no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—41no—
1569C2×Q8—42no—
1570C2×Q8—42no—
1571C2×Q8—41no—
1572C2×Q8—41no—
1573C2×Q8—42no—
1574C2×Q8—41no—
1575C2×Q8—41no—
1576C2×Q8—42no—
1577C2×Q8—42no—
1578C2×Q8—42no—
1579C2×Q8—41no—
1580C2×Q8—41no—
1581C2×Q8—41no—
1582C2×Q8—41no—
1583C2×D4—24no—
1584C2×D4—24no—
1585C2×D4—24no—
1586C2×D4—24no—
1587C2×D4—24no—
1588C2×D4—24no—
1589C2×D4—24no—
1590C2×D4—24no—
1591C2×D4—24no—
1592C2×D4—24no—
1593C2×D4—22no—
1594C2×D4—22no—
1595C2×D4—41no—
1596C2×D4—41no—
1597C2×D4—41no—
1598C2×D4—41no—
1599C2×D4—42no—
1600C2×D4—41no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—41no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
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×D4H(5,𝔽2)14yes—
1637C22×C4—24no—
1638C22×C4—24no—
1639C22×C4—24no—
1640C22×C4—22no—
1641C22×C4—22no—
1642C22×C4—24no—
1643C22×C4—24no—
1644C22×C4—22no—
1645C22×C4—24no—
1646C22×C4—41no—
1647C22×C4—42no—
1648C22×C4—41no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—41no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—41no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—41no—
1667C22×C4—41no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—41no—
1677C22×C4—42no—
1678C22×C4—41no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—41no—
1682C22×C4—41no—
1683C22×C4—41no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—41no—
1692C22×C4—41no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—41no—
1696C22×C4—42no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C42−1+414yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2511yescharacteristic
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2511yescharacteristic
1716C22×C4C2512yes—
1717C22×C4C2512yes—
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2512yes—
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2512yes—
1725C22×C4C2512yes—
1726C22×C4C2511yescharacteristic
1727C22×C4C2511yescharacteristic
1728C22×C4C2511yescharacteristic
1729C22×C4C2511yescharacteristic
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—22no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—22no—
1738C4⋊C4—22no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—41no—
1745C4⋊C4—41no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—41no—
1757C4⋊C4—41no—
1758C4⋊C4—42no—
1759C4⋊C4—41no—
1760C4⋊C4—41no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—41no—
1768C4⋊C4—41no—
1769C4⋊C4—41no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
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—41no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—41no—
1790C4⋊C4—42no—
1791C4⋊C4—41no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
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—41no—
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—41no—
1817C4⋊C4—41no—
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—24no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
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—42no—
1876C22⋊C4—42no—
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—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C42—24no—
1906C42—22no—
1907C42—22no—
1908C42—41no—
1909C42—41no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—42no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—42no—
1926C23—21no—
1927C23—22no—
1928C23—22no—
1929C23—21no—
1930C23—21no—
1931C23—22no—
1932C23—22no—
1933C23—21no—
1934C23—21no—
1935C23—22no—
1936C23—22no—
1937C23—21no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
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—44no—
1960C23—82no—
1961C23—82no—
1962C23—161no—
1963C23—161no—
1964C23—161no—
1965C23—161no—
1966C23C2×H(5,𝔽2)14yes—
1967C23C2×2−1+412yes—
1968C23C2611yescharacteristic
1969Q8—84no—
1970Q8—84no—
1971Q8—162no—
1972Q8—161no—
1973Q8—162no—
1974Q8—161no—
1975Q8—161no—
1976D4—44no—
1977D4—44no—
1978D4—48no—
1979D4—82no—
1980D4—84no—
1981D4—84no—
1982D4—84no—
1983D4—84no—
1984D4—84no—
1985D4—84no—
1986D4—84no—
1987D4—84no—
1988D4—84no—
1989D4—84no—
1990D4—162no—
1991D4—162no—
1992D4—162no—
1993D4—162no—
1994C2×C4—21no—
1995C2×C4—21no—
1996C2×C4—21no—
1997C2×C4—21no—
1998C2×C4—21no—
1999C2×C4—21no—
2000C2×C4—21no—
2001C2×C4—21no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—21no—
2011C2×C4—22no—
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—21no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—21no—
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—21no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—44no—
2081C2×C4—48no—
2082C2×C4—84no—
2083C2×C4—82no—
2084C2×C4—84no—
2085C2×C4—84no—
2086C2×C4—82no—
2087C2×C4—84no—
2088C2×C4—82no—
2089C2×C4—84no—
2090C2×C4—84no—
2091C2×C4—84no—
2092C2×C4—84no—
2093C2×C4—84no—
2094C2×C4—84no—
2095C2×C4—161no—
2096C2×C4—162no—
2097C2×C4—162no—
2098C2×C4—161no—
2099C2×C4—162no—
2100C2×C4—162no—
2101C2×C4C2×H(5,𝔽2)12yes—
2102C2×C4C2×2−1+412yes—
2103C2×C4C2×2−1+412yes—
2104C2×C4#58512yes—
2105C22—24no—
2106C22—22no—
2107C22—22no—
2108C22—24no—
2109C22—22no—
2110C22—24no—
2111C22—41no—
2112C22—41no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—41no—
2117C22—42no—
2118C22—41no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22—42no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22—42no—
2129C22—42no—
2130C22—42no—
2131C22—42no—
2132C22—42no—
2133C22—42no—
2134C22—42no—
2135C22—42no—
2136C22—42no—
2137C22—42no—
2138C22—42no—
2139C22—42no—
2140C22—164no—
2141C22C22×H(5,𝔽2)11yescharacteristic
2142C22C22×2−1+411yescharacteristic
2143C22C2×#58511yescharacteristic
2144C22H(7,𝔽2)11yescharacteristic
2145C22H(7,𝔽2)11yescharacteristic
2146C22H(7,𝔽2)11yescharacteristic
2147C222−1+611yescharacteristic
2148C4—22no—
2149C4—22no—
2150C4—22no—
2151C4—22no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C4—42no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—42no—
2160C4—41no—
2161C4—42no—
2162C4—42no—
2163C4—42no—
2164C4—42no—
2165C4—42no—
2166C4—42no—
2167C4—42no—
2168C4—41no—
2169C4—42no—
2170C4—42no—
2171C4—42no—
2172C4—42no—
2173C4—42no—
2174C4—42no—
2175C4—42no—
2176C4—42no—
2177C4—42no—
2178C2—44no—
2179C2—42no—
2180C2—82no—
2181C2—82no—
2182C2—82no—
2183C2#6287211yescharacteristic
2184C2#6288111yescharacteristic
2185C2#6290211yescharacteristic
2186C2#6290511yescharacteristic
2187C2#6291511yescharacteristic
2188C2#6297511yescharacteristic
2189C2#6304511yescharacteristic
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. #59212C2semidirect
2. #58885C2semidirect
3. #57224C2semidirect
4. #56705C2semidirect
5. #56474C2semidirect
6. #55722C2semidirect
7. #54750C2semidirect
8. #54060C2semidirect
9. #53933C2semidirect
10. #53838C2semidirect
11. #53754C2semidirect
12. #53558C2semidirect
13. #53538C2semidirect
14. #52753C2semidirect
15. #51920C2semidirect
16. #51537C2semidirect
17. #49565C2semidirect
18. #48466C2semidirect
19. #48083C2semidirect
20. #47921C2semidirect
21. #47911C2semidirect
22. #47869C2semidirect
23. #46876C2semidirect
24. #46366C2semidirect
25. #45792C2semidirect
26. #43625C2semidirect
27. #42052C2semidirect
28. #41768C2semidirect
29. #41244C2semidirect
30. #40618C2semidirect
31. #39608C2semidirect
32. #39580C2semidirect
33. #39371C2semidirect
34. #37876C2semidirect
35. #37459C2semidirect
36. C2×#562C22semidirect
42. #2844C22semidirect
44. #2839C22semidirect
46. #2838C22semidirect
49. #2835C22semidirect
50. #2835C22semidirect
51. #2833C22semidirect
53. #2832C22semidirect
56. #2827C22semidirect
61. #2810C22semidirect
62. #2808C22semidirect
64. #2807C22semidirect
65. #2806C22semidirect
66. #2804C22semidirect
67. #2803C22semidirect
68. #2802C22semidirect
72. #2790C22semidirect
73. #2790C22semidirect
78. #2782C22semidirect
81. #2781C22semidirect
85. #2777C22semidirect
86. #2776C22semidirect
88. #2774C22semidirect
89. #2774C22semidirect
90. #2774C22semidirect
92. #2768C22semidirect
94. #2765C22semidirect
97. #2763C22semidirect
98. #2763C22semidirect
99. #2762C22semidirect
100. #2759C22semidirect
102. #2755C22semidirect
105. #2753C22semidirect
109. #2746C22semidirect
112. #2741C22semidirect
113. #2740C22semidirect
114. #2739C22semidirect
115. #2739C22semidirect
116. #2738C22semidirect
117. #2734C22semidirect
118. #2732C22semidirect
119. #2732C22semidirect
129. #2719C22semidirect
131. #2715C22semidirect
132. #2713C22semidirect
133. #2713C22semidirect
140. #2708C22semidirect
141. #2707C22semidirect
144. #2704C22semidirect
149. #2700C22semidirect
152. #2698C22semidirect
153. #2694C22semidirect
154. #2694C22semidirect
162. #2691C22semidirect
163. #2690C22semidirect
164. #2689C22semidirect
166. #2687C22semidirect
169. #2686C22semidirect
173. #2682C22semidirect
174. #2682C22semidirect
178. #2680C22semidirect
179. #2677C22semidirect
182. #2674C22semidirect
183. #2674C22semidirect
190. #2671C22semidirect
193. #2666C22semidirect
194. #2666C22semidirect
195. #2666C22semidirect
197. #2663C22semidirect
198. #2663C22semidirect
201. #2659C22semidirect
212. #2639C22semidirect
218. #2627C22semidirect
221. #2621C22semidirect
227. #2602C22semidirect
228. #2600C22semidirect
229. #2595C22semidirect
230. #2595C22semidirect
234. #2589C22semidirect
235. #2589C22semidirect
237. #2585C22semidirect
238. #2583C22semidirect
240. #2577C22semidirect
242. #2575C22semidirect
245. #2571C22semidirect
246. #2570C22semidirect
250. #2563C22semidirect
256. #2556C22semidirect
259. #2554C22semidirect
260. #2553C22semidirect
261. #2551C22semidirect
262. #2549C22semidirect
263. #2549C22semidirect
264. #2537C22semidirect
270. #2518C22semidirect
271. #2517C22semidirect
274. #2515C22semidirect
276. #2508C22semidirect
277. #2505C22semidirect
278. #2505C22semidirect
279. #2504C22semidirect
280. #2498C22semidirect
281. #2497C22semidirect
282. #2494C22semidirect
283. #2494C22semidirect
284. #2489C22semidirect
285. #2489C22semidirect
287. #2488C22semidirect
288. #2488C22semidirect
289. #2488C22semidirect
295. #2479C22semidirect
296. #2478C22semidirect
298. #2473C22semidirect
299. #2473C22semidirect
309. #2452C22semidirect
313. #2449C22semidirect
318. #2442C22semidirect
319. #2440C22semidirect
320. #2440C22semidirect
329. #2430C22semidirect
331. #2427C22semidirect
334. #2425C22semidirect
344. #2413C22semidirect
347. #2407C22semidirect
349. #2406C22semidirect
350. #2406C22semidirect
353. C2×#400C22semidirect
356. #2369C22semidirect
357. #2364C22semidirect
358. #2363C22semidirect
360. #2359C22semidirect
361. #2354C22semidirect
364. D4×C4⋊C4C22semidirect
365. D4×C4⋊C4C22semidirect
367. #2332C22semidirect
372. #2318C22semidirect

Maximal subgroups

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

subgroupindex
#592122
#588852
#572242
#567052
#564742
#557222
#547502
#540602
#539332
#538382
#537542
#535582
#535382
#527532
#519202
#515372
#495652
#484662
#480832
#479212
#479112
#478692
#468762
#463662
#457922
#436252
#420522
#417682
#412442
#406182
#396082
#395802
#393712
#378762
#374592