Finite Group Databasebeta

← #9523994

Subgroups — #9523994

Order 512.

4461 conjugacy classes of subgroups.

The subgroup lattice has 2186 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58656C212yesmaximal, complemented
2#58618C212yesmaximal, complemented
3#58572C212yesmaximal, complemented
4#57768C212yesmaximal, complemented
5#57647C212yesmaximal, complemented
6#56774C212yesmaximal, complemented
7#56267C212yesmaximal, complemented
8#55684C212yesmaximal, complemented
9#55294C212yesmaximal, complemented
10#54908C212yesmaximal, complemented
11#54870C212yesmaximal, complemented
12#54119C212yesmaximal, complemented
13#53208C211yesmaximal, characteristic, complemented
14#52918C212yesmaximal, complemented
15#52076C212yesmaximal, complemented
16#51920C212yesmaximal, complemented
17#50094C212yesmaximal, complemented
18#48607C212yesmaximal, complemented
19#48101C212yesmaximal, complemented
20#47760C212yesmaximal, complemented
21#47006C212yesmaximal, complemented
22#46132C211yesmaximal, characteristic, complemented
23#44945C212yesmaximal, complemented
24#44285C212yesmaximal, complemented
25#43135C212yesmaximal, complemented
26#42787C212yesmaximal, complemented
27#42265C212yesmaximal, complemented
28#42060C212yesmaximal, complemented
29#41634C212yesmaximal, complemented
30#40681C212yesmaximal, complemented
31#39551C211yesmaximal, characteristic, complemented
32#39124C211yesmaximal, characteristic, complemented
33#37770C211yesmaximal, characteristic, complemented
34#37218C211yesmaximal, characteristic, complemented
35#36750C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic, complemented
37C2×D4×Q8C2211yescharacteristic, complemented
38C2×#538C2211yescharacteristic
39C2×#536C2212yes—
40C2×#529C2211yescharacteristic
41#2857C2211yescharacteristic
42#2854C2211yescharacteristic
43#2851C2211yescharacteristic
44#2851C2211yescharacteristic
45#2841C2212yescomplemented
46#2839C2212yescomplemented
47#2837C2212yes—
48#2837C2212yescomplemented
49#2836C2212yes—
50#2836C2212yescomplemented
51#2836C2212yescomplemented
52#2829C2212yes—
53#2829C2212yes—
54#2829C2212yescomplemented
55#2828C2212yes—
56#2827C2212yes—
57#2824C2212yes—
58#2822C2211yescharacteristic, complemented
59#2822C2211yescharacteristic, complemented
60#2821C2212yes—
61#2820C2212yescomplemented
62#2814C2212yes—
63#2814C2212yescomplemented
64#2813C2212yes—
65#2807C2212yes—
66#2807C2212yescomplemented
67#2806C2212yescomplemented
68#2803C2212yes—
69#2802C2212yescomplemented
70#2801C2212yes—
71#2800C2212yes—
72#2797C2212yes—
73#2788C2212yes—
74#2783C2212yes—
75#2781C2212yes—
76#2780C2212yes—
77#2780C2212yes—
78#2780C2212yes—
79#2780C2212yes—
80#2779C2212yes—
81#2777C2212yes—
82#2772C2212yescomplemented
83#2771C2212yes—
84#2770C2212yescomplemented
85#2769C2212yescomplemented
86#2768C2212yes—
87#2768C2212yescomplemented
88#2768C2212yescomplemented
89#2768C2212yescomplemented
90#2766C2212yescomplemented
91#2765C2212yescomplemented
92#2764C2212yescomplemented
93#2763C2212yes—
94#2761C2212yes—
95#2761C2212yescomplemented
96#2759C2212yescomplemented
97#2757C2212yescomplemented
98#2756C2212yes—
99#2754C2212yes—
100#2754C2212yescomplemented
101#2753C2212yes—
102#2748C2212yes—
103#2748C2212yes—
104#2744C2212yescomplemented
105#2742C2212yescomplemented
106#2741C2212yes—
107#2741C2212yescomplemented
108#2740C2212yes—
109#2740C2212yes—
110#2740C2212yescomplemented
111#2739C2212yescomplemented
112#2733C2212yes—
113#2732C2212yes—
114#2732C2212yescomplemented
115#2731C2212yes—
116#2729C2212yes—
117#2729C2212yes—
118#2729C2212yes—
119#2729C2212yescomplemented
120#2729C2212yescomplemented
121#2729C2212yescomplemented
122#2729C2212yescomplemented
123#2728C2212yes—
124#2728C2212yescomplemented
125#2727C2212yes—
126#2727C2211yescharacteristic, complemented
127#2727C2211yescharacteristic, complemented
128#2727C2211yescharacteristic, complemented
129#2726C2211yescharacteristic, complemented
130#2726C2211yescharacteristic, complemented
131#2726C2211yescharacteristic, complemented
132#2724C2211yescharacteristic, complemented
133#2723C2212yes—
134#2723C2212yescomplemented
135#2723C2212yescomplemented
136#2722C2212yescomplemented
137#2721C2212yescomplemented
138#2720C2212yes—
139#2714C2212yes—
140#2714C2212yes—
141#2714C2212yes—
142#2713C2212yescomplemented
143#2712C2212yes—
144#2711C2212yes—
145#2711C2212yescomplemented
146#2711C2212yescomplemented
147#2710C2212yes—
148#2710C2212yes—
149#2710C2212yescomplemented
150#2708C2212yes—
151#2708C2212yescomplemented
152#2707C2212yes—
153#2706C2212yes—
154#2706C2212yes—
155#2705C2212yes—
156#2704C2212yes—
157#2704C2212yes—
158#2704C2212yes—
159#2704C2212yescomplemented
160#2702C2212yes—
161#2702C2212yescomplemented
162#2701C2212yes—
163#2698C2212yes—
164#2696C2212yes—
165#2696C2212yes—
166#2695C2212yes—
167#2695C2212yes—
168#2694C2212yes—
169#2694C2212yes—
170#2694C2212yes—
171#2694C2212yescomplemented
172#2693C2212yes—
173#2692C2212yes—
174#2691C2212yes—
175#2691C2212yes—
176#2691C2212yescomplemented
177#2689C2212yescomplemented
178#2688C2212yes—
179#2687C2212yes—
180#2687C2212yes—
181#2686C2212yes—
182#2686C2212yes—
183#2686C2212yescomplemented
184#2685C2212yes—
185#2684C2212yes—
186#2682C2212yes—
187#2682C2212yescomplemented
188#2682C2211yescharacteristic, complemented
189#2681C2212yes—
190#2681C2212yes—
191#2681C2212yescomplemented
192#2678C2212yes—
193#2678C2212yes—
194#2676C2212yes—
195#2676C2212yes—
196#2672C2212yes—
197#2672C2212yes—
198#2671C2212yes—
199#2671C2212yes—
200#2671C2212yes—
201#2667C2212yescomplemented
202#2663C2212yes—
203#2663C2212yescomplemented
204#2662C2212yes—
205#2662C2212yes—
206#2661C2212yes—
207#2659C2211yescharacteristic
208#2656C2211yescharacteristic
209#2656C2212yes—
210#2654C2212yescomplemented
211#2651C2212yes—
212#2651C2212yescomplemented
213#2648C2212yescomplemented
214#2646C2211yescharacteristic
215#2643C2212yescomplemented
216#2637C2212yes—
217#2637C2212yescomplemented
218#2635C2212yescomplemented
219#2633C2212yes—
220#2632C2212yescomplemented
221#2630C2212yes—
222#2630C2212yes—
223#2630C2212yescomplemented
224#2628C2212yescomplemented
225#2625C2212yescomplemented
226#2624C2212yes—
227#2618C2211yescharacteristic
228#2617C2211yescharacteristic
229#2617C2211yescharacteristic
230#2609C2212yes—
231#2602C2212yes—
232#2602C2212yescomplemented
233#2601C2212yes—
234#2601C2212yes—
235#2601C2212yescomplemented
236#2601C2212yescomplemented
237#2600C2212yes—
238#2598C2212yes—
239#2596C2212yescomplemented
240#2595C2212yes—
241#2594C2212yes—
242#2593C2212yes—
243#2589C2212yes—
244#2589C2212yes—
245#2589C2212yescomplemented
246#2589C2212yescomplemented
247#2589C2212yescomplemented
248#2588C2212yescomplemented
249#2586C2212yescomplemented
250#2584C2212yescomplemented
251#2580C2212yescomplemented
252#2563C2212yes—
253#2563C2212yes—
254#2559C2212yes—
255#2558C2212yes—
256#2558C2212yescomplemented
257#2556C2212yescomplemented
258#2555C2212yescomplemented
259#2554C2212yes—
260#2554C2212yes—
261#2554C2212yescomplemented
262#2553C2212yes—
263#2553C2212yescomplemented
264#2549C2212yes—
265#2547C2211yescharacteristic, complemented
266#2546C2212yescomplemented
267#2545C2212yes—
268#2540C2212yes—
269#2539C2212yes—
270#2537C2211yescharacteristic, complemented
271#2535C2212yes—
272#2525C2212yes—
273#2524C2212yescomplemented
274#2522C2212yescomplemented
275#2522C2212yescomplemented
276#2521C2212yescomplemented
277#2520C2212yescomplemented
278#2519C2212yes—
279#2519C2212yescomplemented
280#2518C2212yes—
281#2518C2212yescomplemented
282#2513C2212yes—
283#2510C2212yes—
284#2508C2212yescomplemented
285#2508C2212yescomplemented
286#2505C2212yescomplemented
287#2505C2212yescomplemented
288#2498C2212yescomplemented
289#2490C2212yes—
290#2489C2212yescomplemented
291#2488C2212yes—
292#2479C2212yes—
293#2479C2212yes—
294#2479C2212yes—
295#2478C2212yes—
296#2478C2212yescomplemented
297#2478C2212yescomplemented
298#2476C2212yes—
299#2472C2212yes—
300#2468C2212yes—
301#2468C2212yescomplemented
302#2465C2212yes—
303#2464C2212yes—
304#2464C2212yes—
305#2464C2212yescomplemented
306#2462C2212yescomplemented
307#2462C2212yescomplemented
308#2461C2212yes—
309#2461C2212yescomplemented
310#2459C2212yescomplemented
311#2458C2212yes—
312#2458C2212yes—
313#2457C2212yes—
314#2456C2212yes—
315#2454C2212yes—
316#2454C2212yescomplemented
317#2452C2212yes—
318#2452C2212yescomplemented
319#2450C2212yes—
320#2450C2212yes—
321#2448C2212yes—
322#2448C2212yescomplemented
323#2446C2212yescomplemented
324#2442C2212yes—
325#2439C2212yes—
326#2438C2212yescomplemented
327#2437C2212yes—
328#2437C2212yes—
329#2436C2212yes—
330#2436C2212yescomplemented
331#2434C2212yescomplemented
332#2432C2212yes—
333#2430C2212yes—
334#2429C2212yescomplemented
335#2426C2212yes—
336#2426C2212yes—
337#2425C2212yes—
338#2424C2212yes—
339#2424C2212yes—
340#2419C2212yes—
341#2419C2212yescomplemented
342#2418C2212yes—
343#2414C2212yes—
344#2414C2212yescomplemented
345#2411C2212yes—
346#2411C2212yes—
347#2409C2212yes—
348#2407C2212yes—
349#2407C2212yes—
350#2407C2212yes—
351#2404C2212yes—
352#2396C2212yes—
353#2396C2212yescomplemented
354#2395C2212yescomplemented
355#2379C2211yescharacteristic, complemented
356#2377C2212yes—
357#2374C2212yes—
358#2370C2212yescomplemented
359#2369C2212yescomplemented
360#2363C2212yes—
361#2362C2212yes—
362#2361C2212yes—
363#2359C2212yes—
364#2355C2211yescharacteristic, complemented
365#2349C2212yescomplemented
366Q8×C22⋊C4C2212yescomplemented
367#2337C2212yes—
368#2335C2212yes—
369#2334C2212yescomplemented
370#2329C2211yescharacteristic
371#2324C2212yes—
372#2324C2212yescomplemented
373#2316C2211yescharacteristic
374#2315C2211yescharacteristic
375#2312C2211yescharacteristic
376#2312C2211yescharacteristic
377C4×#121C2211yescharacteristic
378C2×#388C2211yescharacteristic
379C22×#41C2312yes—
380C23×Q8C2312yes—
381#563—44no—
382D4×Q8—44no—
383#538—44no—
384#536—48no—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2311yescharacteristic
389C2×C4⋊Q8C2312yes—
390#529—44no—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#125C2311yescharacteristic
400C2×#125C2311yescharacteristic
401C2×#125C2311yescharacteristic
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#124C2312yes—
407C2×#124C2311yescharacteristic
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#124C2312yes—
412C2×#124C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2311yescharacteristic
443C2×#121C2311yescharacteristic
444C2×#121C2311yescharacteristic
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#120C2312yes—
457C2×#120C2312yes—
458C2×#120C2312yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C22×C4⋊C4C2311yescharacteristic
479C22×C22⋊C4C2311yescharacteristic
480C22×C22⋊C4C2311yescharacteristic
481C22×C22⋊C4C2311yescharacteristic
482C22×C22⋊C4C2312yes—
483C22×C42C2311yescharacteristic
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#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
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#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#396C2312yes—
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#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
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#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
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#393C2312yes—
700#393C2312yes—
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#392C2312yes—
716#392C2312yes—
717#392C2312yes—
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#392C2312yes—
731#392C2312yes—
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#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2311yescharacteristic
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2311yescharacteristic
764#390C2311yescharacteristic
765#390C2312yes—
766#390C2312yes—
767#390C2312yes—
768#390C2312yes—
769#390C2312yes—
770#390C2312yes—
771#390C2312yes—
772#390C2312yes—
773#390C2312yes—
774#390C2312yes—
775#390C2312yes—
776#390C2312yes—
777#390C2312yes—
778#390C2312yes—
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#389C2311yescharacteristic
801#389C2311yescharacteristic
802#389C2311yescharacteristic
803#389C2311yescharacteristic
804#389C2312yes—
805#389C2311yescharacteristic
806#389C2311yescharacteristic
807#389C2312yes—
808#389C2312yes—
809#389C2311yescharacteristic
810#389C2311yescharacteristic
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2312yes—
816#389C2312yes—
817#389C2311yescharacteristic
818#389C2312yes—
819#389C2312yes—
820#389C2312yes—
821#389C2312yes—
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#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
890#388C2312yes—
891#388C2312yes—
892#388C2312yes—
893#388C2312yes—
894#388C2312yes—
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#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
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#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
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#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#384C2311yescharacteristic
1022#383C2312yes—
1023#383C2312yes—
1024#383C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2311yescharacteristic
1030#382C2311yescharacteristic
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#380C2311yescharacteristic
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2311yescharacteristic
1049#380C2311yescharacteristic
1050#380C2311yescharacteristic
1051#380C2312yes—
1052#380C2311yescharacteristic
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2311yescharacteristic
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#379C2312yes—
1068#379C2312yes—
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×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊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—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2311yescharacteristic
1103C25C2411yescharacteristic
1104C2×#41—44no—
1105C2×#41—82no—
1106C2×#41—82no—
1107C22×Q8—28no—
1108C22×Q8—82no—
1109C22×Q8—82no—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2412yes—
1114C22×Q8C2412yes—
1115C22×Q8C2411yescharacteristic
1116C22×D4C2411yescharacteristic
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2411yescharacteristic
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2411yescharacteristic
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2412yes—
1134C23×C4C2411yescharacteristic
1135C23×C4C2411yescharacteristic
1136C23×C4C2411yescharacteristic
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2411yescharacteristic
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2411yescharacteristic
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2411yescharacteristic
1151C4⋊Q8—28no—
1152C4⋊Q8—44no—
1153C4⋊Q8—42no—
1154C4⋊Q8—44no—
1155C4⋊Q8—82no—
1156#126—44no—
1157#126—44no—
1158#126—44no—
1159#126—44no—
1160#126—44no—
1161#126—82no—
1162#126—82no—
1163#126—82no—
1164#125—42no—
1165#125—42no—
1166#125—42no—
1167#125—44no—
1168#125—82no—
1169#125—82no—
1170#125—82no—
1171#124—24no—
1172#124—28no—
1173#124—44no—
1174#124—82no—
1175#124—82no—
1176#124—82no—
1177#124—82no—
1178#123—28no—
1179#123—44no—
1180#123—44no—
1181#123—44no—
1182#123—44no—
1183#123—44no—
1184#123—44no—
1185#123—44no—
1186#123—82no—
1187#123—82no—
1188#123—82no—
1189#123—82no—
1190#123—82no—
1191C22⋊Q8—24no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—44no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—44no—
1201C22⋊Q8—44no—
1202C22⋊Q8—82no—
1203C22⋊Q8—82no—
1204C22⋊Q8—82no—
1205#121—28no—
1206#121—44no—
1207#121—42no—
1208#121—44no—
1209#121—44no—
1210#121—42no—
1211#121—42no—
1212#121—82no—
1213#121—82no—
1214#121—82no—
1215#121—82no—
1216#121—82no—
1217#121—82no—
1218#121—82no—
1219#121—82no—
1220#121—82no—
1221#120—44no—
1222#120—82no—
1223#120—82no—
1224C4×Q8—24no—
1225C4×Q8—82no—
1226C4×Q8—82no—
1227C4×Q8—82no—
1228C4×D4—44no—
1229C4×D4—44no—
1230C4×D4—42no—
1231C4×D4—42no—
1232C4×D4—44no—
1233C4×D4—44no—
1234C4×D4—82no—
1235C4×D4—82no—
1236C4×D4—82no—
1237C4×D4—82no—
1238#117—44no—
1239#117—44no—
1240#117—82no—
1241#117—82no—
1242#117—82no—
1243C2×C4⋊C4—42no—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2411yescharacteristic
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⋊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⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C22⋊C4—24no—
1338C2×C22⋊C4—42no—
1339C2×C22⋊C4—42no—
1340C2×C22⋊C4—82no—
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×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C42—42no—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2411yescharacteristic
1437C2×C42C2411yescharacteristic
1438C2×C42C2412yes—
1439C2×C42C2411yescharacteristic
1440C2×C42C2412yes—
1441C2×C42C2412yes—
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×C42C2411yescharacteristic
1457C2×C42C2412yes—
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—
1548#95C2412yes—
1549#95C2412yes—
1550C24—22no—
1551C24—41no—
1552C24—41no—
1553C24—41no—
1554C24—41no—
1555C24—41no—
1556C24—41no—
1557C24C2512yes—
1558C24C2512yes—
1559C24C2512yes—
1560C24C2512yes—
1561C24C2511yescharacteristic
1562#41—816no—
1563C2×Q8—24no—
1564C2×Q8—24no—
1565C2×Q8—24no—
1566C2×Q8—24no—
1567C2×Q8—42no—
1568C2×Q8—42no—
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×Q8—42no—
1580C2×Q8—816no—
1581C2×Q8H(5,𝔽2)14yes—
1582C2×D4—24no—
1583C2×D4—24no—
1584C2×D4—24no—
1585C2×D4—22no—
1586C2×D4—24no—
1587C2×D4—24no—
1588C2×D4—22no—
1589C2×D4—41no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—41no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—41no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—41no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—41no—
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—41no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—41no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C22×C4—22no—
1637C22×C4—24no—
1638C22×C4—22no—
1639C22×C4—24no—
1640C22×C4—24no—
1641C22×C4—22no—
1642C22×C4—24no—
1643C22×C4—41no—
1644C22×C4—41no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—41no—
1648C22×C4—41no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
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—41no—
1665C22×C4—42no—
1666C22×C4—41no—
1667C22×C4—42no—
1668C22×C4—41no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—41no—
1672C22×C4—41no—
1673C22×C4—41no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—41no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—41no—
1683C22×C4—41no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C42−1+414yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2511yescharacteristic
1701C22×C4C2511yescharacteristic
1702C22×C4C2511yescharacteristic
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2511yescharacteristic
1713C22×C4C2512yes—
1714C22×C4C2511yescharacteristic
1715C22×C4C2512yes—
1716C22×C4C2511yescharacteristic
1717C4⋊C4—24no—
1718C4⋊C4—22no—
1719C4⋊C4—22no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—22no—
1731C4⋊C4—24no—
1732C4⋊C4—42no—
1733C4⋊C4—41no—
1734C4⋊C4—41no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—41no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—41no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
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—41no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—41no—
1774C4⋊C4—41no—
1775C4⋊C4—41no—
1776C4⋊C4—41no—
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—41no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—41no—
1800C4⋊C4—41no—
1801C4⋊C4—41no—
1802C4⋊C4—41no—
1803C4⋊C4—41no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—41no—
1809C4⋊C4—41no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
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—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
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—
1901C42—22no—
1902C42—22no—
1903C42—24no—
1904C42—24no—
1905C42—24no—
1906C42—41no—
1907C42—41no—
1908C42—42no—
1909C42—42no—
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—21no—
1928C23—21no—
1929C23—21no—
1930C23—21no—
1931C23—21no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
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—22no—
1960C23—44no—
1961C23—82no—
1962C23—82no—
1963C23—161no—
1964C23—161no—
1965C23—161no—
1966C23—161no—
1967C23C2×2−1+412yes—
1968C23C2611yescharacteristic
1969Q8—44no—
1970Q8—48no—
1971Q8—84no—
1972Q8—84no—
1973Q8—84no—
1974Q8—84no—
1975D4—48no—
1976D4—44no—
1977D4—82no—
1978D4—84no—
1979D4—84no—
1980D4—84no—
1981D4—84no—
1982D4—84no—
1983D4—84no—
1984D4—84no—
1985D4—162no—
1986D4—162no—
1987D4—162no—
1988D4—162no—
1989D4—161no—
1990D4—162no—
1991D4—162no—
1992D4—162no—
1993C2×C4—21no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—21no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—21no—
2000C2×C4—21no—
2001C2×C4—21no—
2002C2×C4—21no—
2003C2×C4—21no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—21no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—21no—
2019C2×C4—21no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—21no—
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—21no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—21no—
2065C2×C4—21no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—21no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—21no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—44no—
2080C2×C4—48no—
2081C2×C4—82no—
2082C2×C4—82no—
2083C2×C4—84no—
2084C2×C4—84no—
2085C2×C4—84no—
2086C2×C4—82no—
2087C2×C4—84no—
2088C2×C4—84no—
2089C2×C4—84no—
2090C2×C4—84no—
2091C2×C4—161no—
2092C2×C4—162no—
2093C2×C4—162no—
2094C2×C4—161no—
2095C2×C4—162no—
2096C2×C4C2×H(5,𝔽2)14yes—
2097C2×C4C2×H(5,𝔽2)12yes—
2098C2×C4C2×2−1+414yes—
2099C2×C4#58512yes—
2100C22—22no—
2101C22—22no—
2102C22—22no—
2103C22—41no—
2104C22—41no—
2105C22—41no—
2106C22—41no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
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—164no—
2136C22C22×H(5,𝔽2)11yescharacteristic
2137C22C22×2−1+411yescharacteristic
2138C22C2×#58511yescharacteristic
2139C22H(7,𝔽2)11yescharacteristic
2140C22H(7,𝔽2)11yescharacteristic
2141C22H(7,𝔽2)11yescharacteristic
2142C222−1+611yescharacteristic
2143C4—24no—
2144C4—22no—
2145C4—24no—
2146C4—22no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C4—41no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—42no—
2160C4—42no—
2161C4—41no—
2162C4—41no—
2163C4—42no—
2164C4—42no—
2165C4—42no—
2166C4—41no—
2167C4—42no—
2168C4—42no—
2169C4—42no—
2170C4—42no—
2171C4—42no—
2172C4—42no—
2173C2—42no—
2174C2—82no—
2175C2—82no—
2176C2—82no—
2177C2—82no—
2178C2#6286211yescharacteristic
2179C2#6287711yescharacteristic
2180C2#6290211yescharacteristic
2181C2#6291711yescharacteristic
2182C2#6291911yescharacteristic
2183C2#6297411yescharacteristic
2184C2#6306011yescharacteristic
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. #58656C2semidirect
2. #58618C2semidirect
3. #58572C2semidirect
4. #57768C2semidirect
5. #57647C2semidirect
6. #56774C2semidirect
7. #56267C2semidirect
8. #55684C2semidirect
9. #55294C2semidirect
10. #54908C2semidirect
11. #54870C2semidirect
12. #54119C2semidirect
13. #53208C2semidirect
14. #52918C2semidirect
15. #52076C2semidirect
16. #51920C2semidirect
17. #50094C2semidirect
18. #48607C2semidirect
19. #48101C2semidirect
20. #47760C2semidirect
21. #47006C2semidirect
22. #46132C2semidirect
23. #44945C2semidirect
24. #44285C2semidirect
25. #43135C2semidirect
26. #42787C2semidirect
27. #42265C2semidirect
28. #42060C2semidirect
29. #41634C2semidirect
30. #40681C2semidirect
31. #39551C2semidirect
32. #39124C2semidirect
33. #37770C2semidirect
34. #37218C2semidirect
35. #36750C2semidirect
36. C2×#563C22semidirect
37. C2×D4×Q8C22semidirect
45. #2841C22semidirect
46. #2839C22semidirect
48. #2837C22semidirect
50. #2836C22semidirect
51. #2836C22semidirect
54. #2829C22semidirect
58. #2822C22semidirect
59. #2822C22semidirect
61. #2820C22semidirect
63. #2814C22semidirect
66. #2807C22semidirect
67. #2806C22semidirect
69. #2802C22semidirect
82. #2772C22semidirect
84. #2770C22semidirect
85. #2769C22semidirect
87. #2768C22semidirect
88. #2768C22semidirect
89. #2768C22semidirect
90. #2766C22semidirect
91. #2765C22semidirect
92. #2764C22semidirect
95. #2761C22semidirect
96. #2759C22semidirect
97. #2757C22semidirect
100. #2754C22semidirect
104. #2744C22semidirect
105. #2742C22semidirect
107. #2741C22semidirect
110. #2740C22semidirect
111. #2739C22semidirect
114. #2732C22semidirect
119. #2729C22semidirect
120. #2729C22semidirect
121. #2729C22semidirect
122. #2729C22semidirect
124. #2728C22semidirect
126. #2727C22semidirect
127. #2727C22semidirect
128. #2727C22semidirect
129. #2726C22semidirect
130. #2726C22semidirect
131. #2726C22semidirect
132. #2724C22semidirect
134. #2723C22semidirect
135. #2723C22semidirect
136. #2722C22semidirect
137. #2721C22semidirect
142. #2713C22semidirect
145. #2711C22semidirect
146. #2711C22semidirect
149. #2710C22semidirect
151. #2708C22semidirect
159. #2704C22semidirect
161. #2702C22semidirect
171. #2694C22semidirect
176. #2691C22semidirect
177. #2689C22semidirect
183. #2686C22semidirect
187. #2682C22semidirect
188. #2682C22semidirect
191. #2681C22semidirect
201. #2667C22semidirect
203. #2663C22semidirect
210. #2654C22semidirect
212. #2651C22semidirect
213. #2648C22semidirect
215. #2643C22semidirect
217. #2637C22semidirect
218. #2635C22semidirect
220. #2632C22semidirect
223. #2630C22semidirect
224. #2628C22semidirect
225. #2625C22semidirect
232. #2602C22semidirect
235. #2601C22semidirect
236. #2601C22semidirect
239. #2596C22semidirect
245. #2589C22semidirect
246. #2589C22semidirect
247. #2589C22semidirect
248. #2588C22semidirect
249. #2586C22semidirect
250. #2584C22semidirect
251. #2580C22semidirect
256. #2558C22semidirect
257. #2556C22semidirect
258. #2555C22semidirect
261. #2554C22semidirect
263. #2553C22semidirect
265. #2547C22semidirect
266. #2546C22semidirect
270. #2537C22semidirect
273. #2524C22semidirect
274. #2522C22semidirect
275. #2522C22semidirect
276. #2521C22semidirect
277. #2520C22semidirect
279. #2519C22semidirect
281. #2518C22semidirect
284. #2508C22semidirect
285. #2508C22semidirect
286. #2505C22semidirect
287. #2505C22semidirect
288. #2498C22semidirect
290. #2489C22semidirect
296. #2478C22semidirect
297. #2478C22semidirect
301. #2468C22semidirect
305. #2464C22semidirect
306. #2462C22semidirect
307. #2462C22semidirect
309. #2461C22semidirect
310. #2459C22semidirect
316. #2454C22semidirect
318. #2452C22semidirect
322. #2448C22semidirect
323. #2446C22semidirect
326. #2438C22semidirect
330. #2436C22semidirect
331. #2434C22semidirect
334. #2429C22semidirect
341. #2419C22semidirect
344. #2414C22semidirect
353. #2396C22semidirect
354. #2395C22semidirect
355. #2379C22semidirect
358. #2370C22semidirect
359. #2369C22semidirect
364. #2355C22semidirect
365. #2349C22semidirect
366. Q8×C22⋊C4C22semidirect
369. #2334C22semidirect
372. #2324C22semidirect

Maximal subgroups

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

subgroupindex
#586562
#586182
#585722
#577682
#576472
#567742
#562672
#556842
#552942
#549082
#548702
#541192
#532082
#529182
#520762
#519202
#500942
#486072
#481012
#477602
#470062
#461322
#449452
#442852
#431352
#427872
#422652
#420602
#416342
#406812
#395512
#391242
#377702
#372182
#367502