Finite Group Databasebeta

← #8393344

Subgroups — #8393344

Order 512.

4526 conjugacy classes of subgroups.

The subgroup lattice has 2097 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59947C211yesmaximal, characteristic
2#59339C211yesmaximal, characteristic, complemented
3#59196C212yesmaximal, complemented
4#57557C212yesmaximal, complemented
5#57317C212yesmaximal, complemented
6#56015C212yesmaximal, complemented
7#54874C212yesmaximal, complemented
8#49891C212yesmaximal, complemented
9#49709C212yesmaximal, complemented
10#49444C212yesmaximal, complemented
11#49320C212yesmaximal, complemented
12#49228C212yesmaximal, complemented
13#49099C212yesmaximal, complemented
14#48862C212yesmaximal, complemented
15#47926C212yesmaximal, complemented
16#46199C211yesmaximal, characteristic, complemented
17#46145C211yesmaximal, characteristic, complemented
18#45538C212yesmaximal, complemented
19#44624C212yesmaximal, complemented
20#44532C212yesmaximal, complemented
21#43908C212yesmaximal, complemented
22#43698C212yesmaximal, complemented
23#43139C212yesmaximal, complemented
24#43059C212yesmaximal, complemented
25#40519C212yesmaximal, complemented
26#38460C212yesmaximal, complemented
27#38397C212yesmaximal, complemented
28#38065C212yesmaximal, complemented
29#37883C212yesmaximal, complemented
30#36959C211yesmaximal, characteristic, complemented
31#36256C212yesmaximal, complemented
32#36159C212yesmaximal, complemented
33#35824C212yesmaximal, complemented
34#35468C211yesmaximal, characteristic, complemented
35C2×#2566C211yesmaximal, characteristic, complemented
36C2×#551C2212yes—
37C2×#544C2211yescharacteristic
38C2×#539C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#2855C2212yes—
42#2851C2212yes—
43#2851C2212yes—
44#2849C2212yes—
45#2849C2212yes—
46#2844C2211yescharacteristic, complemented
47#2830C2211yescharacteristic
48#2830C2211yescharacteristic
49#2827C2212yescomplemented
50#2827C2212yescomplemented
51#2823C2212yescomplemented
52#2822C2211yescharacteristic, complemented
53#2814C2212yescomplemented
54#2803C2212yes—
55#2803C2212yes—
56#2800C2212yes—
57#2797C2212yescomplemented
58#2796C2212yescomplemented
59#2796C2212yescomplemented
60#2793C2212yescomplemented
61#2793C2212yescomplemented
62#2793C2212yescomplemented
63#2793C2212yescomplemented
64#2793C2212yescomplemented
65#2791C2212yescomplemented
66#2791C2212yescomplemented
67#2791C2212yescomplemented
68#2791C2212yescomplemented
69#2790C2212yescomplemented
70#2790C2212yescomplemented
71#2790C2212yescomplemented
72#2790C2212yescomplemented
73#2789C2211yescharacteristic, complemented
74#2789C2211yescharacteristic, complemented
75#2788C2212yescomplemented
76#2787C2212yescomplemented
77#2786C2212yescomplemented
78#2785C2211yescharacteristic, complemented
79#2784C2211yescharacteristic
80#2783C2212yescomplemented
81#2781C2212yescomplemented
82#2780C2212yes—
83#2780C2212yescomplemented
84#2780C2212yescomplemented
85#2780C2212yescomplemented
86#2779C2212yescomplemented
87#2774C2212yescomplemented
88#2774C2212yescomplemented
89#2772C2212yescomplemented
90#2771C2212yescomplemented
91#2770C2212yescomplemented
92#2769C2212yescomplemented
93#2769C2211yescharacteristic, complemented
94#2768C2212yescomplemented
95#2766C2212yescomplemented
96#2766C2212yescomplemented
97#2765C2212yescomplemented
98#2765C2212yescomplemented
99#2764C2212yescomplemented
100#2761C2212yes—
101#2761C2212yescomplemented
102#2757C2212yescomplemented
103#2753C2212yes—
104#2751C2212yescomplemented
105#2750C2212yescomplemented
106#2750C2212yescomplemented
107#2750C2212yescomplemented
108#2749C2212yescomplemented
109#2746C2212yescomplemented
110#2746C2212yescomplemented
111#2745C2212yescomplemented
112#2744C2212yescomplemented
113#2743C2212yescomplemented
114#2739C2212yescomplemented
115#2738C2212yescomplemented
116#2731C2212yescomplemented
117#2729C2212yescomplemented
118#2727C2212yes—
119#2725C2212yescomplemented
120#2725C2212yescomplemented
121#2725C2212yescomplemented
122#2725C2212yescomplemented
123#2724C2211yescharacteristic
124#2723C2212yes—
125#2723C2212yes—
126#2719C2212yescomplemented
127#2719C2212yescomplemented
128#2719C2212yescomplemented
129#2719C2212yescomplemented
130#2716C2212yescomplemented
131#2715C2212yescomplemented
132#2715C2212yescomplemented
133#2713C2212yescomplemented
134#2713C2212yescomplemented
135#2713C2212yescomplemented
136#2713C2212yescomplemented
137#2711C2212yes—
138#2707C2212yes—
139#2707C2212yes—
140#2707C2212yes—
141#2707C2212yescomplemented
142#2707C2212yescomplemented
143#2704C2212yescomplemented
144#2702C2212yescomplemented
145#2701C2212yes—
146#2699C2211yescharacteristic
147#2695C2212yescomplemented
148#2693C2212yescomplemented
149#2691C2212yescomplemented
150#2683C2211yescharacteristic
151#2683C2212yescomplemented
152#2674C2212yescomplemented
153#2672C2212yescomplemented
154#2664C2212yescomplemented
155#2654C2212yescomplemented
156#2652C2212yescomplemented
157#2651C2212yes—
158#2650C2212yescomplemented
159#2649C2212yescomplemented
160#2648C2212yes—
161#2647C2212yescomplemented
162#2646C2212yescomplemented
163#2643C2212yescomplemented
164#2630C2212yescomplemented
165#2629C2212yescomplemented
166#2629C2212yescomplemented
167#2627C2212yes—
168#2618C2212yescomplemented
169#2612C2211yescharacteristic, complemented
170#2610C2212yes—
171#2609C2211yescharacteristic, complemented
172#2608C2212yescomplemented
173#2601C2212yescomplemented
174#2597C2212yescomplemented
175#2594C2212yescomplemented
176#2594C2212yescomplemented
177#2593C2211yescharacteristic
178#2591C2211yescharacteristic
179#2589C2212yescomplemented
180#2587C2212yescomplemented
181#2587C2212yescomplemented
182#2587C2212yescomplemented
183#2585C2212yescomplemented
184#2585C2212yescomplemented
185#2583C2211yescharacteristic
186#2583C2211yescharacteristic
187#2583C2211yescharacteristic
188#2579C2212yescomplemented
189#2576C2212yescomplemented
190#2576C2212yescomplemented
191#2575C2212yescomplemented
192#2574C2212yescomplemented
193#2574C2212yescomplemented
194#2573C2212yescomplemented
195#2573C2212yescomplemented
196#2573C2212yescomplemented
197#2573C2212yescomplemented
198#2573C2212yescomplemented
199#2569C2212yescomplemented
200#2566C2212yes—
201#2566C2212yes—
202#2566C2212yes—
203#2566C2212yes—
204#2566C2212yes—
205#2566C2212yes—
206#2566C2212yes—
207#2566C2212yes—
208#2561C2212yes—
209#2558C2212yescomplemented
210#2558C2212yescomplemented
211#2558C2212yescomplemented
212#2556C2212yescomplemented
213#2556C2212yescomplemented
214#2555C2211yescharacteristic
215#2545C2212yescomplemented
216#2534C2212yes—
217#2534C2212yes—
218#2534C2212yes—
219#2531C2212yes—
220#2529C2212yescomplemented
221#2529C2212yescomplemented
222#2528C2212yescomplemented
223#2528C2212yescomplemented
224#2527C2212yescomplemented
225#2526C2212yes—
226#2526C2212yes—
227#2525C2212yescomplemented
228#2525C2212yescomplemented
229#2522C2212yescomplemented
230#2519C2212yescomplemented
231#2519C2212yescomplemented
232#2519C2212yescomplemented
233#2519C2212yescomplemented
234#2518C2212yescomplemented
235#2515C2212yescomplemented
236#2515C2212yescomplemented
237#2511C2212yescomplemented
238#2510C2212yescomplemented
239#2508C2212yescomplemented
240#2507C2212yescomplemented
241#2507C2212yescomplemented
242#2506C2212yescomplemented
243#2506C2212yescomplemented
244#2506C2212yescomplemented
245#2505C2212yescomplemented
246#2505C2212yescomplemented
247#2505C2212yescomplemented
248#2505C2212yescomplemented
249#2503C2211yescharacteristic
250#2503C2211yescharacteristic
251#2503C2211yescharacteristic
252#2501C2211yescharacteristic
253#2497C2212yescomplemented
254#2497C2212yescomplemented
255#2494C2212yescomplemented
256#2493C2212yes—
257#2493C2212yes—
258#2493C2212yes—
259#2493C2212yes—
260#2493C2212yescomplemented
261#2493C2212yescomplemented
262#2489C2212yescomplemented
263#2488C2212yes—
264#2486C2212yes—
265#2486C2212yes—
266#2484C2212yes—
267#2484C2212yes—
268#2484C2212yes—
269#2484C2212yes—
270#2484C2212yes—
271#2483C2212yes—
272#2482C2212yes—
273#2481C2212yescomplemented
274#2480C2212yes—
275#2480C2212yes—
276#2476C2212yes—
277#2476C2212yes—
278#2475C2212yescomplemented
279#2475C2212yescomplemented
280#2475C2212yescomplemented
281#2475C2212yescomplemented
282#2472C2212yes—
283#2471C2212yes—
284#2469C2212yescomplemented
285#2468C2212yes—
286#2468C2212yes—
287#2466C2212yes—
288#2466C2212yes—
289#2460C2212yescomplemented
290#2460C2212yescomplemented
291#2459C2212yes—
292#2459C2212yes—
293#2457C2212yes—
294#2457C2212yes—
295#2452C2212yescomplemented
296#2450C2212yes—
297#2450C2212yes—
298#2450C2212yescomplemented
299#2442C2212yes—
300#2439C2212yescomplemented
301#2438C2212yes—
302#2438C2212yes—
303#2438C2212yescomplemented
304#2437C2212yes—
305#2437C2212yes—
306#2429C2212yescomplemented
307#2425C2212yes—
308#2425C2212yes—
309#2425C2212yes—
310#2424C2212yes—
311#2419C2212yes—
312#2419C2212yes—
313#2417C2212yes—
314#2417C2212yescomplemented
315#2414C2212yes—
316#2413C2212yes—
317#2413C2212yes—
318#2413C2212yes—
319#2413C2212yes—
320#2413C2212yes—
321#2412C2212yes—
322#2411C2212yes—
323#2410C2212yes—
324#2405C2212yes—
325#2401C2212yescomplemented
326#2396C2212yescomplemented
327C2×#396C2212yes—
328C2×#396C2212yes—
329#2383C2212yescomplemented
330#2382C2212yescomplemented
331#2377C2212yescomplemented
332#2376C2212yes—
333#2370C2212yescomplemented
334#2368C2212yescomplemented
335#2364C2212yes—
336#2364C2212yes—
337#2363C2212yes—
338#2360C2212yes—
339#2360C2212yescomplemented
340#2359C2212yes—
341#2359C2212yes—
342#2359C2212yes—
343#2358C2212yes—
344#2356C2212yescomplemented
345D4×C4⋊C4C2212yes—
346#2346C2212yescomplemented
347#2344C2212yes—
348#2344C2212yes—
349#2344C2212yescomplemented
350#2343C2212yes—
351#2343C2212yescomplemented
352#2342C2212yes—
353#2342C2212yes—
354#2342C2212yes—
355#2342C2212yes—
356#2337C2212yescomplemented
357#2335C2212yes—
358#2334C2212yescomplemented
359#2333C2212yes—
360#2330C2212yescomplemented
361#2329C2212yescomplemented
362#2322C2212yes—
363#2318C2212yescomplemented
364#2314C2212yescomplemented
365#2313C2211yescharacteristic
366C4×#123C2212yes—
367C2×#390C2211yescharacteristic
368C2×#390C2211yescharacteristic
369#2290C2212yes—
370#2290C2212yes—
371C2×#385C2212yes—
372C2×#385C2212yes—
373C2×#384C2211yescharacteristic
374C2×#382C2211yescharacteristic
375#2280C2212yes—
376C2×#381C2212yes—
377#2274C2211yescharacteristic
378C2×C4×C4⋊C4C2211yescharacteristic
379C23×D4C2311yescharacteristic
380C24×C4C2312yes—
381#551—48no—
382#544—44no—
383#539—44no—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#125—44no—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×#121C2312yes—
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#120C2312yes—
428C2×#120C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×D4—44no—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2311yescharacteristic
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2312yes—
462C22×C22⋊C4C2312yes—
463C22×C22⋊C4C2312yes—
464C22×C22⋊C4C2312yes—
465C22×C22⋊C4C2312yes—
466C22×C42C2311yescharacteristic
467C22×C42C2311yescharacteristic
468C22×C42C2311yescharacteristic
469#401C2312yes—
470#401C2312yes—
471#401C2312yes—
472#401C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2311yescharacteristic
494#400C2311yescharacteristic
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#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#398C2312yes—
520#398C2311yescharacteristic
521#398C2311yescharacteristic
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2311yescharacteristic
535#398C2311yescharacteristic
536#398C2312yes—
537#398C2312yes—
538#398C2311yescharacteristic
539#398C2311yescharacteristic
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#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
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#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
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#395C2311yescharacteristic
636#395C2312yes—
637#395C2311yescharacteristic
638#395C2311yescharacteristic
639#395C2311yescharacteristic
640#395C2311yescharacteristic
641#395C2311yescharacteristic
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2311yescharacteristic
656#394C2311yescharacteristic
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#392C2312yes—
675#392C2312yes—
676#392C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#390C2311yescharacteristic
688#390C2312yes—
689#390C2311yescharacteristic
690#390C2312yes—
691#390C2311yescharacteristic
692#390C2311yescharacteristic
693#390C2312yes—
694#390C2312yes—
695#390C2312yes—
696#390C2312yes—
697#390C2312yes—
698#390C2312yes—
699#390C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
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#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
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#386C2312yes—
896#386C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
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#385C2312yes—
924#385C2312yes—
925#385C2312yes—
926#385C2312yes—
927#385C2312yes—
928#385C2312yes—
929#385C2312yes—
930#385C2312yes—
931#385C2312yes—
932#385C2312yes—
933#385C2312yes—
934#385C2312yes—
935#385C2312yes—
936#385C2312yes—
937#385C2312yes—
938#385C2312yes—
939#385C2312yes—
940#385C2312yes—
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
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#384C2312yes—
980#384C2312yes—
981#384C2312yes—
982#384C2312yes—
983#384C2312yes—
984#384C2312yes—
985#383C2312yes—
986#383C2312yes—
987#383C2312yes—
988#383C2312yes—
989#383C2312yes—
990#382C2311yescharacteristic
991#382C2312yes—
992#382C2311yescharacteristic
993#382C2311yescharacteristic
994#382C2311yescharacteristic
995#382C2312yes—
996#382C2312yes—
997#382C2312yes—
998#382C2312yes—
999#382C2312yes—
1000#382C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#381C2312yes—
1005#381C2312yes—
1006#381C2312yes—
1007#381C2312yes—
1008#381C2312yes—
1009#381C2312yes—
1010#381C2312yes—
1011#381C2312yes—
1012#381C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#379C2312yes—
1046#379C2312yes—
1047#379C2312yes—
1048#379C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2311yescharacteristic
1071C4×C22⋊C4C2311yescharacteristic
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2311yescharacteristic
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2311yescharacteristic
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2411yescharacteristic
1108C22×D4—24no—
1109C22×D4—42no—
1110C22×D4—42no—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2411yescharacteristic
1119C22×D4C2411yescharacteristic
1120C23×C4—44no—
1121C23×C4—44no—
1122C23×C4—44no—
1123C23×C4C2411yescharacteristic
1124C23×C4C2411yescharacteristic
1125C23×C4C2412yes—
1126C23×C4C2411yescharacteristic
1127C23×C4C2411yescharacteristic
1128C23×C4C2412yes—
1129C23×C4C2411yescharacteristic
1130C23×C4C2411yescharacteristic
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2411yescharacteristic
1144C4⋊Q8—44no—
1145C4⋊Q8—44no—
1146#126—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#125—44no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#125—44no—
1156#125—44no—
1157#125—44no—
1158#125—44no—
1159#125—44no—
1160#125—44no—
1161#124—44no—
1162#124—44no—
1163#123—28no—
1164#123—44no—
1165#123—44no—
1166#123—44no—
1167#123—44no—
1168#123—44no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173C22⋊Q8—28no—
1174C22⋊Q8—42no—
1175C22⋊Q8—42no—
1176C22⋊Q8—42no—
1177C22⋊Q8—44no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182#121—28no—
1183#121—44no—
1184#121—44no—
1185#121—42no—
1186#120—44no—
1187#120—44no—
1188C4×Q8—44no—
1189C4×D4—28no—
1190C4×D4—44no—
1191C4×D4—44no—
1192C4×D4—44no—
1193C4×D4—44no—
1194C4×D4—44no—
1195C4×D4—44no—
1196C4×D4—44no—
1197C4×D4—44no—
1198#117—44no—
1199#117—44no—
1200#117—44no—
1201#117—44no—
1202#117—44no—
1203#117—44no—
1204#117—44no—
1205#117—44no—
1206C2×C4⋊C4—24no—
1207C2×C4⋊C4—24no—
1208C2×C4⋊C4—44no—
1209C2×C4⋊C4—44no—
1210C2×C4⋊C4—44no—
1211C2×C4⋊C4—44no—
1212C2×C4⋊C4—42no—
1213C2×C4⋊C4—42no—
1214C2×C4⋊C4—42no—
1215C2×C4⋊C4—42no—
1216C2×C4⋊C4—42no—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2411yescharacteristic
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2411yescharacteristic
1241C2×C4⋊C4C2411yescharacteristic
1242C2×C4⋊C4C2411yescharacteristic
1243C2×C4⋊C4C2411yescharacteristic
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C22⋊C4—28no—
1312C2×C22⋊C4—44no—
1313C2×C22⋊C4—44no—
1314C2×C22⋊C4—44no—
1315C2×C22⋊C4—44no—
1316C2×C22⋊C4—44no—
1317C2×C22⋊C4—44no—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
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×C42—24no—
1392C2×C42—42no—
1393C2×C42—42no—
1394C2×C42C2411yescharacteristic
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2411yescharacteristic
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2411yescharacteristic
1421C2×C42C2412yes—
1422C2×C42C2411yescharacteristic
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
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#95C2411yescharacteristic
1461#95C2411yescharacteristic
1462#95C2412yes—
1463#95C2412yes—
1464#95C2411yescharacteristic
1465#95C2411yescharacteristic
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#95C2411yescharacteristic
1489#95C2411yescharacteristic
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2411yescharacteristic
1495#95C2412yes—
1496#95C2411yescharacteristic
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—
1535C24—24no—
1536C24—24no—
1537C24—24no—
1538C24—24no—
1539C24—42no—
1540C24—42no—
1541C24—42no—
1542C24C2512yes—
1543C24C2512yes—
1544C24C2512yes—
1545C24C2511yescharacteristic
1546C2×Q8—24no—
1547C2×Q8—42no—
1548C2×Q8—42no—
1549C2×Q8—41no—
1550C2×Q8—41no—
1551C2×Q8—41no—
1552C2×Q8—42no—
1553C2×Q8—42no—
1554C2×Q8—42no—
1555C2×D4—24no—
1556C2×D4—24no—
1557C2×D4—24no—
1558C2×D4—24no—
1559C2×D4—24no—
1560C2×D4—24no—
1561C2×D4—22no—
1562C2×D4—24no—
1563C2×D4—41no—
1564C2×D4—42no—
1565C2×D4—41no—
1566C2×D4—41no—
1567C2×D4—41no—
1568C2×D4—416no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—41no—
1576C2×D4—42no—
1577C2×D4—42no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D42−1+414yes—
1582C22×C4—22no—
1583C22×C4—22no—
1584C22×C4—22no—
1585C22×C4—22no—
1586C22×C4—24no—
1587C22×C4—22no—
1588C22×C4—22no—
1589C22×C4—24no—
1590C22×C4—24no—
1591C22×C4—24no—
1592C22×C4—24no—
1593C22×C4—24no—
1594C22×C4—24no—
1595C22×C4—22no—
1596C22×C4—22no—
1597C22×C4—24no—
1598C22×C4—24no—
1599C22×C4—24no—
1600C22×C4—24no—
1601C22×C4—24no—
1602C22×C4—24no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—816no—
1639C22×C4H(5,𝔽2)14yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2511yescharacteristic
1661C22×C4C2511yescharacteristic
1662C22×C4C2511yescharacteristic
1663C22×C4C2511yescharacteristic
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2511yescharacteristic
1669C22×C4C2511yescharacteristic
1670C22×C4C2512yes—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—41no—
1705C4⋊C4—42no—
1706C4⋊C4—41no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—41no—
1710C4⋊C4—41no—
1711C4⋊C4—41no—
1712C4⋊C4—41no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—41no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—41no—
1741C4⋊C4—41no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—41no—
1745C4⋊C4—42no—
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—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—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
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—
1838C42—24no—
1839C42—24no—
1840C42—24no—
1841C42—22no—
1842C42—24no—
1843C42—22no—
1844C42—24no—
1845C42—41no—
1846C42—42no—
1847C42—41no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42—42no—
1852C42—42no—
1853C42—42no—
1854C42—42no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
1861C42—42no—
1862C42—42no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C42—42no—
1867C23—21no—
1868C23—22no—
1869C23—21no—
1870C23—22no—
1871C23—22no—
1872C23—22no—
1873C23—22no—
1874C23—22no—
1875C23—22no—
1876C23—22no—
1877C23—22no—
1878C23—22no—
1879C23—22no—
1880C23—22no—
1881C23—22no—
1882C23—22no—
1883C23—22no—
1884C23—22no—
1885C23—22no—
1886C23—22no—
1887C23—22no—
1888C23—22no—
1889C23—22no—
1890C23—48no—
1891C23—48no—
1892C23—48no—
1893C23—48no—
1894C23—84no—
1895C23—84no—
1896C23—84no—
1897C23C2×H(5,𝔽2)12yes—
1898C23C2×2−1+414yes—
1899C23#58514yes—
1900C23C2611yescharacteristic
1901Q8—84no—
1902Q8—161no—
1903Q8—161no—
1904Q8—161no—
1905D4—44no—
1906D4—48no—
1907D4—44no—
1908D4—48no—
1909D4—84no—
1910D4—84no—
1911D4—162no—
1912D4—161no—
1913D4—162no—
1914C2×C4—28no—
1915C2×C4—21no—
1916C2×C4—21no—
1917C2×C4—21no—
1918C2×C4—22no—
1919C2×C4—21no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—21no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—44no—
2001C2×C4—48no—
2002C2×C4—44no—
2003C2×C4—44no—
2004C2×C4—48no—
2005C2×C4—44no—
2006C2×C4—84no—
2007C2×C4—84no—
2008C2×C4—84no—
2009C2×C4—84no—
2010C2×C4—84no—
2011C2×C4—82no—
2012C2×C4—82no—
2013C2×C4—84no—
2014C2×C4—84no—
2015C2×C4—84no—
2016C2×C4—84no—
2017C2×C4—84no—
2018C2×C4—162no—
2019C2×C4—162no—
2020C2×C4C2×H(5,𝔽2)14yes—
2021C2×C4C2×2−1+412yes—
2022C2×C4#58512yes—
2023C2×C4#58514yes—
2024C22—24no—
2025C22—24no—
2026C22—22no—
2027C22—22no—
2028C22—24no—
2029C22—24no—
2030C22—24no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22—42no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—42no—
2044C22—42no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—816no—
2050C22#355114yes—
2051C22C22×H(5,𝔽2)11yescharacteristic
2052C22C22×2−1+411yescharacteristic
2053C22C2×#58512yes—
2054C22C2×#58512yes—
2055C22C2×#58511yescharacteristic
2056C4—24no—
2057C4—22no—
2058C4—22no—
2059C4—24no—
2060C4—42no—
2061C4—42no—
2062C4—42no—
2063C4—42no—
2064C4—42no—
2065C4—42no—
2066C4—42no—
2067C4—42no—
2068C4—42no—
2069C4—42no—
2070C4—42no—
2071C4—42no—
2072C4—42no—
2073C4—42no—
2074C4—42no—
2075C4—42no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—42no—
2080C4—42no—
2081C4—41no—
2082C4—41no—
2083C4—41no—
2084C4—41no—
2085C4—42no—
2086C4—42no—
2087C2—24no—
2088C2—44no—
2089C2—82no—
2090C2—82no—
2091C2C2×#355111yescharacteristic
2092C2#6281911yescharacteristic
2093C2#6282211yescharacteristic
2094C2#6302312yes—
2095C2#6302712yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59947C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #59339C2semidirect
3. #59196C2semidirect
4. #57557C2semidirect
5. #57317C2semidirect
6. #56015C2semidirect
7. #54874C2semidirect
8. #49891C2semidirect
9. #49709C2semidirect
10. #49444C2semidirect
11. #49320C2semidirect
12. #49228C2semidirect
13. #49099C2semidirect
14. #48862C2semidirect
15. #47926C2semidirect
16. #46199C2semidirect
17. #46145C2semidirect
18. #45538C2semidirect
19. #44624C2semidirect
20. #44532C2semidirect
21. #43908C2semidirect
22. #43698C2semidirect
23. #43139C2semidirect
24. #43059C2semidirect
25. #40519C2semidirect
26. #38460C2semidirect
27. #38397C2semidirect
28. #38065C2semidirect
29. #37883C2semidirect
30. #36959C2semidirect
31. #36256C2semidirect
32. #36159C2semidirect
33. #35824C2semidirect
34. #35468C2semidirect
35. C2×#2566C2semidirect
46. #2844C22semidirect
49. #2827C22semidirect
50. #2827C22semidirect
51. #2823C22semidirect
52. #2822C22semidirect
53. #2814C22semidirect
57. #2797C22semidirect
58. #2796C22semidirect
59. #2796C22semidirect
60. #2793C22semidirect
61. #2793C22semidirect
62. #2793C22semidirect
63. #2793C22semidirect
64. #2793C22semidirect
65. #2791C22semidirect
66. #2791C22semidirect
67. #2791C22semidirect
68. #2791C22semidirect
69. #2790C22semidirect
70. #2790C22semidirect
71. #2790C22semidirect
72. #2790C22semidirect
73. #2789C22semidirect
74. #2789C22semidirect
75. #2788C22semidirect
76. #2787C22semidirect
77. #2786C22semidirect
78. #2785C22semidirect
80. #2783C22semidirect
81. #2781C22semidirect
83. #2780C22semidirect
84. #2780C22semidirect
85. #2780C22semidirect
86. #2779C22semidirect
87. #2774C22semidirect
88. #2774C22semidirect
89. #2772C22semidirect
90. #2771C22semidirect
91. #2770C22semidirect
92. #2769C22semidirect
93. #2769C22semidirect
94. #2768C22semidirect
95. #2766C22semidirect
96. #2766C22semidirect
97. #2765C22semidirect
98. #2765C22semidirect
99. #2764C22semidirect
101. #2761C22semidirect
102. #2757C22semidirect
104. #2751C22semidirect
105. #2750C22semidirect
106. #2750C22semidirect
107. #2750C22semidirect
108. #2749C22semidirect
109. #2746C22semidirect
110. #2746C22semidirect
111. #2745C22semidirect
112. #2744C22semidirect
113. #2743C22semidirect
114. #2739C22semidirect
115. #2738C22semidirect
116. #2731C22semidirect
117. #2729C22semidirect
119. #2725C22semidirect
120. #2725C22semidirect
121. #2725C22semidirect
122. #2725C22semidirect
126. #2719C22semidirect
127. #2719C22semidirect
128. #2719C22semidirect
129. #2719C22semidirect
130. #2716C22semidirect
131. #2715C22semidirect
132. #2715C22semidirect
133. #2713C22semidirect
134. #2713C22semidirect
135. #2713C22semidirect
136. #2713C22semidirect
141. #2707C22semidirect
142. #2707C22semidirect
143. #2704C22semidirect
144. #2702C22semidirect
147. #2695C22semidirect
148. #2693C22semidirect
149. #2691C22semidirect
151. #2683C22semidirect
152. #2674C22semidirect
153. #2672C22semidirect
154. #2664C22semidirect
155. #2654C22semidirect
156. #2652C22semidirect
158. #2650C22semidirect
159. #2649C22semidirect
161. #2647C22semidirect
162. #2646C22semidirect
163. #2643C22semidirect
164. #2630C22semidirect
165. #2629C22semidirect
166. #2629C22semidirect
168. #2618C22semidirect
169. #2612C22semidirect
171. #2609C22semidirect
172. #2608C22semidirect
173. #2601C22semidirect
174. #2597C22semidirect
175. #2594C22semidirect
176. #2594C22semidirect
179. #2589C22semidirect
180. #2587C22semidirect
181. #2587C22semidirect
182. #2587C22semidirect
183. #2585C22semidirect
184. #2585C22semidirect
188. #2579C22semidirect
189. #2576C22semidirect
190. #2576C22semidirect
191. #2575C22semidirect
192. #2574C22semidirect
193. #2574C22semidirect
194. #2573C22semidirect
195. #2573C22semidirect
196. #2573C22semidirect
197. #2573C22semidirect
198. #2573C22semidirect
199. #2569C22semidirect
209. #2558C22semidirect
210. #2558C22semidirect
211. #2558C22semidirect
212. #2556C22semidirect
213. #2556C22semidirect
215. #2545C22semidirect
220. #2529C22semidirect
221. #2529C22semidirect
222. #2528C22semidirect
223. #2528C22semidirect
224. #2527C22semidirect
227. #2525C22semidirect
228. #2525C22semidirect
229. #2522C22semidirect
230. #2519C22semidirect
231. #2519C22semidirect
232. #2519C22semidirect
233. #2519C22semidirect
234. #2518C22semidirect
235. #2515C22semidirect
236. #2515C22semidirect
237. #2511C22semidirect
238. #2510C22semidirect
239. #2508C22semidirect
240. #2507C22semidirect
241. #2507C22semidirect
242. #2506C22semidirect
243. #2506C22semidirect
244. #2506C22semidirect
245. #2505C22semidirect
246. #2505C22semidirect
247. #2505C22semidirect
248. #2505C22semidirect
253. #2497C22semidirect
254. #2497C22semidirect
255. #2494C22semidirect
260. #2493C22semidirect
261. #2493C22semidirect
262. #2489C22semidirect
273. #2481C22semidirect
278. #2475C22semidirect
279. #2475C22semidirect
280. #2475C22semidirect
281. #2475C22semidirect
284. #2469C22semidirect
289. #2460C22semidirect
290. #2460C22semidirect
295. #2452C22semidirect
298. #2450C22semidirect
300. #2439C22semidirect
303. #2438C22semidirect
306. #2429C22semidirect
314. #2417C22semidirect
325. #2401C22semidirect
326. #2396C22semidirect
329. #2383C22semidirect
330. #2382C22semidirect
331. #2377C22semidirect
333. #2370C22semidirect
334. #2368C22semidirect
339. #2360C22semidirect
344. #2356C22semidirect
346. #2346C22semidirect
349. #2344C22semidirect
351. #2343C22semidirect
356. #2337C22semidirect
358. #2334C22semidirect
360. #2330C22semidirect
361. #2329C22semidirect
363. #2318C22semidirect
364. #2314C22semidirect

Maximal subgroups

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

subgroupindex
#599472
#593392
#591962
#575572
#573172
#560152
#548742
#498912
#497092
#494442
#493202
#492282
#490992
#488622
#479262
#461992
#461452
#455382
#446242
#445322
#439082
#436982
#431392
#430592
#405192
#384602
#383972
#380652
#378832
#369592
#362562
#361592
#358242
#354682
C2×#25662