Finite Group Databasebeta

← #8934695

Subgroups — #8934695

Order 512.

4426 conjugacy classes of subgroups.

The subgroup lattice has 2200 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59993C212yesmaximal, complemented
2#59966C212yesmaximal, complemented
3#59952C211yesmaximal, characteristic, complemented
4#59948C211yesmaximal, characteristic, complemented
5#59935C211yesmaximal, characteristic, complemented
6#59928C211yesmaximal, characteristic, complemented
7#59885C211yesmaximal, characteristic, complemented
8#59743C211yesmaximal, characteristic, complemented
9#59607C212yesmaximal, complemented
10#52081C211yesmaximal, characteristic, complemented
11#51995C211yesmaximal, characteristic, complemented
12#51873C211yesmaximal, characteristic, complemented
13#51831C211yesmaximal, characteristic, complemented
14#51759C212yesmaximal, complemented
15#51740C212yesmaximal, complemented
16#51681C211yesmaximal, characteristic, complemented
17#51627C212yesmaximal, complemented
18#51601C211yesmaximal, characteristic, complemented
19#51576C212yesmaximal, complemented
20#51491C212yesmaximal, complemented
21#51380C212yesmaximal, complemented
22#51289C212yesmaximal, complemented
23#50357C212yesmaximal, complemented
24#49989C212yesmaximal, complemented
25#49981C212yesmaximal, complemented
26#49584C212yesmaximal, complemented
27#49577C212yesmaximal, complemented
28#49567C212yesmaximal, complemented
29#49521C212yesmaximal, complemented
30#48419C212yesmaximal, complemented
31#47638C212yesmaximal, complemented
32#47597C212yesmaximal, complemented
33#47590C212yesmaximal, complemented
34#35678C211yesmaximal, characteristic, complemented
35#35669C211yesmaximal, characteristic, complemented
36#35668C211yesmaximal, characteristic, complemented
37#35599C212yesmaximal, complemented
38#35589C212yesmaximal, complemented
39#35477C212yesmaximal, complemented
40C2×#562C2212yes—
41C2×#544C2211yescharacteristic
42C2×#542C2211yescharacteristic
43C2×#540C2211yescharacteristic
44C2×#519C2211yescharacteristic
45#2837C2212yes—
46#2811C2211yescharacteristic
47#2809C2211yescharacteristic
48#2809C2211yescharacteristic
49#2809C2211yescharacteristic
50#2808C2212yes—
51#2808C2212yes—
52#2806C2212yes—
53#2802C2212yes—
54#2801C2212yes—
55#2800C2212yes—
56#2795C2212yes—
57#2793C2212yes—
58#2793C2212yes—
59#2792C2212yes—
60#2791C2212yes—
61#2789C2212yes—
62#2788C2212yes—
63#2786C2212yes—
64#2786C2212yes—
65#2785C2212yes—
66#2784C2212yes—
67#2783C2212yes—
68#2781C2212yes—
69#2777C2212yes—
70#2775C2212yes—
71#2773C2212yes—
72#2772C2212yes—
73#2765C2212yes—
74#2763C2212yes—
75#2762C2212yes—
76#2761C2212yes—
77#2761C2212yes—
78#2759C2212yes—
79#2759C2212yes—
80#2759C2212yes—
81#2759C2212yes—
82#2755C2212yes—
83#2754C2212yes—
84#2751C2212yes—
85#2751C2212yes—
86#2749C2212yes—
87#2745C2212yes—
88#2741C2212yes—
89#2740C2212yes—
90#2740C2212yes—
91#2740C2212yes—
92#2737C2212yes—
93#2733C2211yescharacteristic
94#2733C2211yescharacteristic
95#2732C2212yes—
96#2731C2211yescharacteristic
97#2731C2212yes—
98#2731C2211yescharacteristic
99#2729C2212yes—
100#2726C2212yes—
101#2723C2212yes—
102#2720C2212yes—
103#2720C2212yes—
104#2716C2212yes—
105#2713C2212yes—
106#2712C2212yes—
107#2711C2212yes—
108#2710C2212yes—
109#2710C2212yes—
110#2709C2212yes—
111#2708C2212yes—
112#2708C2212yes—
113#2707C2212yes—
114#2707C2212yes—
115#2704C2212yes—
116#2701C2212yes—
117#2700C2212yes—
118#2700C2212yes—
119#2700C2212yes—
120#2700C2212yes—
121#2700C2212yes—
122#2699C2212yes—
123#2695C2212yes—
124#2692C2212yes—
125#2690C2212yes—
126#2688C2212yes—
127#2687C2212yes—
128#2687C2212yes—
129#2686C2212yes—
130#2686C2212yes—
131#2681C2212yes—
132#2681C2212yes—
133#2681C2212yes—
134#2681C2212yes—
135#2681C2212yes—
136#2677C2212yes—
137#2674C2212yes—
138#2672C2212yes—
139#2672C2212yes—
140#2671C2212yes—
141#2671C2212yes—
142#2666C2212yes—
143#2665C2212yes—
144#2663C2212yes—
145#2663C2212yes—
146#2660C2212yes—
147#2653C2212yes—
148#2653C2212yes—
149#2648C2212yes—
150#2639C2212yes—
151#2621C2212yes—
152#2620C2212yes—
153#2618C2212yes—
154#2612C2212yes—
155#2612C2212yes—
156#2612C2212yes—
157#2612C2212yes—
158#2611C2212yes—
159#2610C2212yes—
160#2610C2212yes—
161#2609C2212yes—
162#2606C2212yes—
163#2605C2212yes—
164#2602C2212yes—
165#2599C2212yes—
166#2597C2212yes—
167#2596C2212yes—
168#2595C2212yes—
169#2594C2212yes—
170#2594C2212yes—
171#2594C2212yes—
172#2591C2212yes—
173#2590C2212yes—
174#2590C2212yes—
175#2590C2212yes—
176#2585C2212yes—
177#2576C2212yes—
178#2576C2212yes—
179#2576C2212yes—
180#2574C2212yes—
181#2574C2212yes—
182#2574C2212yes—
183#2574C2212yes—
184#2574C2212yes—
185#2574C2212yes—
186#2573C2212yes—
187#2573C2212yes—
188#2572C2212yes—
189#2572C2212yes—
190#2568C2211yescharacteristic
191#2568C2211yescharacteristic
192#2568C2211yescharacteristic
193#2567C2211yescharacteristic
194#2567C2211yescharacteristic
195#2567C2211yescharacteristic
196#2565C2211yescharacteristic
197#2565C2211yescharacteristic
198#2565C2211yescharacteristic
199#2565C2211yescharacteristic
200#2565C2211yescharacteristic
201#2565C2211yescharacteristic
202#2564C2212yes—
203#2560C2212yes—
204#2560C2212yes—
205#2560C2212yes—
206#2558C2212yes—
207#2558C2212yes—
208#2558C2212yes—
209#2557C2212yes—
210#2557C2212yes—
211#2556C2212yes—
212#2556C2212yes—
213#2556C2212yes—
214#2555C2212yes—
215#2554C2212yes—
216#2554C2212yes—
217#2548C2211yescharacteristic
218#2548C2211yescharacteristic
219#2545C2211yescharacteristic
220#2545C2211yescharacteristic
221#2545C2212yes—
222#2543C2212yes—
223#2543C2212yes—
224#2532C2212yes—
225#2532C2212yes—
226#2532C2212yes—
227#2532C2212yes—
228#2532C2212yes—
229#2531C2212yes—
230#2530C2212yes—
231#2528C2212yes—
232#2527C2212yes—
233#2527C2212yes—
234#2527C2212yes—
235#2527C2212yes—
236#2526C2212yes—
237#2526C2212yes—
238#2525C2212yes—
239#2524C2212yes—
240#2524C2212yes—
241#2523C2212yes—
242#2521C2212yes—
243#2520C2212yes—
244#2518C2212yes—
245#2515C2212yes—
246#2514C2212yes—
247#2512C2212yes—
248#2507C2212yes—
249#2506C2212yes—
250#2502C2212yes—
251#2500C2212yes—
252#2500C2212yes—
253#2500C2211yescharacteristic
254#2500C2211yescharacteristic
255#2500C2211yescharacteristic
256#2499C2211yescharacteristic
257#2497C2212yes—
258#2497C2212yes—
259#2494C2212yes—
260#2493C2212yes—
261#2492C2212yes—
262#2492C2212yes—
263#2492C2212yes—
264#2491C2212yes—
265#2491C2212yes—
266#2488C2212yes—
267#2486C2212yes—
268#2485C2212yes—
269#2484C2212yes—
270#2481C2212yes—
271#2478C2212yes—
272#2477C2212yes—
273#2477C2212yes—
274#2476C2212yes—
275#2476C2212yes—
276#2476C2212yes—
277#2476C2212yes—
278#2476C2212yes—
279#2474C2212yes—
280#2474C2212yes—
281#2474C2212yes—
282#2474C2212yes—
283#2471C2212yes—
284#2470C2212yes—
285#2470C2212yes—
286#2470C2212yes—
287#2469C2212yes—
288#2469C2212yes—
289#2468C2212yes—
290#2468C2212yes—
291#2468C2212yes—
292#2465C2212yes—
293#2465C2212yes—
294#2465C2212yes—
295#2465C2212yes—
296#2463C2212yes—
297#2460C2212yes—
298#2459C2212yes—
299#2459C2212yes—
300#2459C2212yes—
301#2458C2212yes—
302#2458C2212yes—
303#2458C2212yes—
304#2458C2212yes—
305#2458C2212yes—
306#2458C2212yes—
307#2453C2212yes—
308#2453C2212yes—
309#2453C2212yes—
310#2451C2212yes—
311#2451C2212yes—
312#2449C2212yes—
313#2449C2212yes—
314#2440C2212yes—
315#2439C2212yes—
316#2438C2212yes—
317#2438C2212yes—
318#2438C2212yes—
319#2438C2212yes—
320#2436C2211yescharacteristic
321#2436C2211yescharacteristic
322#2436C2211yescharacteristic
323#2434C2211yescharacteristic
324#2429C2212yes—
325#2428C2212yes—
326#2427C2212yes—
327#2427C2212yes—
328#2425C2212yes—
329#2425C2212yes—
330#2423C2212yes—
331#2423C2212yes—
332#2417C2212yes—
333#2416C2212yes—
334#2415C2212yes—
335#2414C2212yes—
336#2413C2212yes—
337#2382C2212yes—
338#2381C2211yescharacteristic
339#2379C2212yes—
340#2379C2211yescharacteristic
341#2378C2212yes—
342#2377C2212yes—
343#2374C2212yes—
344#2373C2212yes—
345#2372C2211yescharacteristic
346#2372C2211yescharacteristic
347#2372C2211yescharacteristic
348#2372C2211yescharacteristic
349#2372C2211yescharacteristic
350#2369C2211yescharacteristic
351#2368C2212yes—
352#2368C2212yes—
353#2363C2212yes—
354#2362C2212yes—
355#2361C2212yes—
356#2360C2212yes—
357#2359C2212yes—
358#2359C2212yes—
359#2353C2212yes—
360#2353C2212yes—
361#2346C2212yes—
362#2345C2212yes—
363#2343C2212yes—
364#2337C2212yes—
365#2335C2212yes—
366#2332C2212yes—
367#2331C2212yes—
368#2327C2211yescharacteristic
369#2326C2211yescharacteristic
370#2326C2211yescharacteristic
371#2326C2211yescharacteristic
372#2324C2212yes—
373#2323C2212yes—
374#2323C2212yes—
375#2319C2212yes—
376#2317C2211yescharacteristic
377#2314C2212yes—
378#2310C2211yescharacteristic
379C4×C4⋊Q8C2211yescharacteristic
380C4×#126C2212yes—
381C4×#124C2211yescharacteristic
382C4×#124C2211yescharacteristic
383C4×#124C2211yescharacteristic
384C4×#121C2212yes—
385#2298C2211yescharacteristic
386#2298C2211yescharacteristic
387#2296C2211yescharacteristic
388#2295C2212yes—
389#2295C2212yes—
390C2×#391C2211yescharacteristic
391#2293C2212yes—
392#2290C2212yes—
393#2285C2211yescharacteristic
394#2274C2212yes—
395C23×Q8C2311yescharacteristic
396#562—48no—
397#544—44no—
398#542—44no—
399#540—44no—
400C2×C4⋊Q8C2311yescharacteristic
401C2×C4⋊Q8C2311yescharacteristic
402C2×C4⋊Q8C2311yescharacteristic
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2312yes—
406C2×C4⋊Q8C2312yes—
407C2×#127C2311yescharacteristic
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#125C2311yescharacteristic
412C2×#125C2311yescharacteristic
413C2×#125C2311yescharacteristic
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#124C2311yescharacteristic
418C2×#124C2311yescharacteristic
419C2×#124C2311yescharacteristic
420C2×#124C2311yescharacteristic
421C2×#124C2311yescharacteristic
422C2×#124C2312yes—
423C2×#124C2312yes—
424C2×#124C2312yes—
425C2×#124C2312yes—
426C2×#124C2312yes—
427C2×#124C2311yescharacteristic
428C2×#124C2311yescharacteristic
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2311yescharacteristic
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2311yescharacteristic
462C2×#121C2311yescharacteristic
463C2×#121C2311yescharacteristic
464#519—44no—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2312yes—
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×#117C2311yescharacteristic
485C2×#117C2311yescharacteristic
486C2×#117C2311yescharacteristic
487C2×#117C2311yescharacteristic
488C2×#117C2311yescharacteristic
489C2×#117C2312yes—
490C2×#117C2311yescharacteristic
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2311yescharacteristic
496C2×#117C2311yescharacteristic
497C22×C4⋊C4C2311yescharacteristic
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C42C2311yescharacteristic
501#401C2312yes—
502#401C2312yes—
503#401C2312yes—
504#401C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
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#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#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
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#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#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#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#392C2312yes—
689#392C2312yes—
690#392C2312yes—
691#392C2312yes—
692#392C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2311yescharacteristic
697#391C2311yescharacteristic
698#391C2311yescharacteristic
699#391C2311yescharacteristic
700#391C2311yescharacteristic
701#391C2311yescharacteristic
702#391C2311yescharacteristic
703#391C2311yescharacteristic
704#391C2311yescharacteristic
705#391C2311yescharacteristic
706#391C2311yescharacteristic
707#391C2311yescharacteristic
708#391C2311yescharacteristic
709#391C2311yescharacteristic
710#391C2312yes—
711#391C2312yes—
712#391C2311yescharacteristic
713#391C2311yescharacteristic
714#391C2311yescharacteristic
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2311yescharacteristic
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2311yescharacteristic
746#390C2311yescharacteristic
747#390C2311yescharacteristic
748#390C2312yes—
749#390C2312yes—
750#390C2311yescharacteristic
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2311yescharacteristic
758#390C2311yescharacteristic
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#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#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#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#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#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#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
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#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
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#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#384C2311yescharacteristic
1026#384C2311yescharacteristic
1027#384C2311yescharacteristic
1028#384C2311yescharacteristic
1029#384C2311yescharacteristic
1030#384C2311yescharacteristic
1031#384C2311yescharacteristic
1032#384C2311yescharacteristic
1033#384C2312yes—
1034#383C2312yes—
1035#383C2312yes—
1036#383C2312yes—
1037#383C2312yes—
1038#383C2312yes—
1039#383C2312yes—
1040#382C2311yescharacteristic
1041#382C2311yescharacteristic
1042#382C2311yescharacteristic
1043#382C2311yescharacteristic
1044#382C2311yescharacteristic
1045#382C2311yescharacteristic
1046#382C2311yescharacteristic
1047#382C2311yescharacteristic
1048#382C2312yes—
1049#382C2312yes—
1050#382C2312yes—
1051#382C2312yes—
1052#382C2312yes—
1053#382C2312yes—
1054#381C2312yes—
1055#381C2312yes—
1056#381C2312yes—
1057#381C2312yes—
1058#381C2312yes—
1059#381C2312yes—
1060#381C2312yes—
1061#381C2312yes—
1062#381C2312yes—
1063#381C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#380C2312yes—
1072#380C2312yes—
1073#380C2312yes—
1074#380C2312yes—
1075#380C2312yes—
1076#380C2312yes—
1077#380C2312yes—
1078#380C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2311yescharacteristic
1088C4×C4⋊C4C2311yescharacteristic
1089C4×C4⋊C4C2311yescharacteristic
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2311yescharacteristic
1092C4×C4⋊C4C2311yescharacteristic
1093C4×C4⋊C4C2311yescharacteristic
1094C4×C4⋊C4C2311yescharacteristic
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊C4C2312yes—
1104C4×C4⋊C4C2312yes—
1105C4×C4⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2311yescharacteristic
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2311yescharacteristic
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2311yescharacteristic
1128C4×C22⋊C4C2311yescharacteristic
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2312yes—
1134#376C2312yes—
1135#376C2311yescharacteristic
1136#376C2311yescharacteristic
1137#376C2312yes—
1138#376C2312yes—
1139#376C2312yes—
1140#376C2312yes—
1141#376C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C43C2311yescharacteristic
1146C43C2311yescharacteristic
1147C22×Q8—24no—
1148C22×Q8—42no—
1149C22×Q8—42no—
1150C22×Q8C2411yescharacteristic
1151C22×Q8C2411yescharacteristic
1152C22×Q8C2411yescharacteristic
1153C22×Q8C2412yes—
1154C22×Q8C2412yes—
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2412yes—
1157C22×Q8C2412yes—
1158C22×Q8C2412yes—
1159C22×Q8C2411yescharacteristic
1160C22×D4C2412yes—
1161C22×D4C2412yes—
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2411yescharacteristic
1166C22×D4C2411yescharacteristic
1167C22×D4C2411yescharacteristic
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C23×C4C2411yescharacteristic
1173C23×C4C2412yes—
1174C23×C4C2411yescharacteristic
1175C23×C4C2411yescharacteristic
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C4⋊Q8—24no—
1187C4⋊Q8—44no—
1188C4⋊Q8—42no—
1189C4⋊Q8—42no—
1190C4⋊Q8—42no—
1191C4⋊Q8—42no—
1192C4⋊Q8—44no—
1193#127—42no—
1194#126—44no—
1195#126—44no—
1196#126—44no—
1197#125—44no—
1198#125—42no—
1199#125—42no—
1200#125—42no—
1201#125—44no—
1202#125—44no—
1203#124—24no—
1204#124—24no—
1205#124—24no—
1206#124—44no—
1207#124—44no—
1208#124—42no—
1209#124—44no—
1210#124—44no—
1211#124—42no—
1212#124—42no—
1213#124—42no—
1214#124—44no—
1215#123—28no—
1216#123—44no—
1217#123—44no—
1218#123—44no—
1219#123—44no—
1220#123—44no—
1221#123—44no—
1222#123—44no—
1223#123—44no—
1224C22⋊Q8—28no—
1225C22⋊Q8—42no—
1226C22⋊Q8—44no—
1227C22⋊Q8—44no—
1228C22⋊Q8—44no—
1229C22⋊Q8—44no—
1230C22⋊Q8—44no—
1231C22⋊Q8—44no—
1232C22⋊Q8—44no—
1233C22⋊Q8—44no—
1234C22⋊Q8—44no—
1235C22⋊Q8—44no—
1236C22⋊Q8—44no—
1237C22⋊Q8—44no—
1238#121—28no—
1239#121—44no—
1240#121—44no—
1241#121—44no—
1242#121—44no—
1243#121—44no—
1244#121—44no—
1245#121—44no—
1246#121—42no—
1247#121—42no—
1248#121—42no—
1249#121—44no—
1250C4×Q8—42no—
1251C4×Q8—42no—
1252C4×Q8—44no—
1253C4×Q8—42no—
1254C4×Q8—42no—
1255C4×Q8—42no—
1256C4×Q8—42no—
1257C4×Q8—42no—
1258C4×Q8—42no—
1259C4×Q8—42no—
1260C4×Q8—44no—
1261C4×D4—44no—
1262C4×D4—42no—
1263C4×D4—42no—
1264C4×D4—42no—
1265C4×D4—44no—
1266C4×D4—44no—
1267C4×D4—44no—
1268C4×D4—44no—
1269#117—24no—
1270#117—24no—
1271#117—24no—
1272#117—44no—
1273#117—44no—
1274#117—44no—
1275#117—44no—
1276#117—44no—
1277#117—42no—
1278#117—42no—
1279#117—42no—
1280#117—42no—
1281#117—42no—
1282C2×C4⋊C4—44no—
1283C2×C4⋊C4—44no—
1284C2×C4⋊C4—42no—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C22⋊C4C2411yescharacteristic
1375C2×C22⋊C4C2411yescharacteristic
1376C2×C22⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2411yescharacteristic
1451C2×C42—42no—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2411yescharacteristic
1455C2×C42C2411yescharacteristic
1456C2×C42C2412yes—
1457C2×C42C2411yescharacteristic
1458C2×C42C2411yescharacteristic
1459C2×C42C2411yescharacteristic
1460C2×C42C2411yescharacteristic
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2411yescharacteristic
1464C2×C42C2411yescharacteristic
1465C2×C42C2411yescharacteristic
1466C2×C42C2411yescharacteristic
1467C2×C42C2411yescharacteristic
1468C2×C42C2411yescharacteristic
1469C2×C42C2411yescharacteristic
1470C2×C42C2411yescharacteristic
1471C2×C42C2411yescharacteristic
1472C2×C42C2411yescharacteristic
1473C2×C42C2412yes—
1474C2×C42C2412yes—
1475C2×C42C2412yes—
1476C2×C42C2411yescharacteristic
1477C2×C42C2411yescharacteristic
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2412yes—
1482C2×C42C2412yes—
1483C2×C42C2412yes—
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2411yescharacteristic
1490C2×C42C2411yescharacteristic
1491C2×C42C2411yescharacteristic
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2411yescharacteristic
1495C2×C42C2411yescharacteristic
1496C2×C42C2411yescharacteristic
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—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605C24C2512yes—
1606C24C2512yes—
1607C24C2512yes—
1608C24C2511yescharacteristic
1609C2×Q8—24no—
1610C2×Q8—22no—
1611C2×Q8—22no—
1612C2×Q8—22no—
1613C2×Q8—22no—
1614C2×Q8—22no—
1615C2×Q8—22no—
1616C2×Q8—24no—
1617C2×Q8—41no—
1618C2×Q8—41no—
1619C2×Q8—41no—
1620C2×Q8—41no—
1621C2×Q8—41no—
1622C2×Q8—41no—
1623C2×Q8—41no—
1624C2×Q8—42no—
1625C2×Q8—42no—
1626C2×Q8—42no—
1627C2×Q8—42no—
1628C2×Q8—41no—
1629C2×Q8—42no—
1630C2×Q8—42no—
1631C2×Q8—42no—
1632C2×Q8—42no—
1633C2×Q8—42no—
1634C2×Q8—42no—
1635C2×Q8—42no—
1636C2×Q8—42no—
1637C2×Q8—42no—
1638C2×Q8—416no—
1639C2×Q82−1+414yes—
1640C2×D4—24no—
1641C2×D4—24no—
1642C2×D4—24no—
1643C2×D4—24no—
1644C2×D4—22no—
1645C2×D4—22no—
1646C2×D4—22no—
1647C2×D4—24no—
1648C2×D4—41no—
1649C2×D4—41no—
1650C2×D4—41no—
1651C2×D4—42no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—42no—
1655C2×D4—42no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—42no—
1660C2×D4—42no—
1661C2×D4—41no—
1662C2×D4—41no—
1663C2×D4—41no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C22×C4—22no—
1677C22×C4—22no—
1678C22×C4—22no—
1679C22×C4—22no—
1680C22×C4—22no—
1681C22×C4—24no—
1682C22×C4—22no—
1683C22×C4—22no—
1684C22×C4—24no—
1685C22×C4—24no—
1686C22×C4—24no—
1687C22×C4—24no—
1688C22×C4—24no—
1689C22×C4—24no—
1690C22×C4—42no—
1691C22×C4—41no—
1692C22×C4—41no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—42no—
1696C22×C4—42no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—42no—
1717C22×C4—42no—
1718C22×C4C2512yes—
1719C22×C4C2511yescharacteristic
1720C22×C4C2511yescharacteristic
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2512yes—
1725C22×C4C2512yes—
1726C22×C4C2512yes—
1727C22×C4C2512yes—
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2512yes—
1736C22×C4C2511yescharacteristic
1737C22×C4C2511yescharacteristic
1738C22×C4C2511yescharacteristic
1739C22×C4C2511yescharacteristic
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2511yescharacteristic
1744C22×C4C2511yescharacteristic
1745C22×C4C2511yescharacteristic
1746C22×C4C2511yescharacteristic
1747C22×C4C2511yescharacteristic
1748C22×C4C2511yescharacteristic
1749C22×C4C2511yescharacteristic
1750C22×C4C2511yescharacteristic
1751C22×C4C2512yes—
1752C22×C4C2512yes—
1753C4⋊C4—22no—
1754C4⋊C4—22no—
1755C4⋊C4—22no—
1756C4⋊C4—22no—
1757C4⋊C4—22no—
1758C4⋊C4—22no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—24no—
1769C4⋊C4—24no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—24no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—41no—
1786C4⋊C4—41no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—41no—
1796C4⋊C4—41no—
1797C4⋊C4—41no—
1798C4⋊C4—41no—
1799C4⋊C4—41no—
1800C4⋊C4—41no—
1801C4⋊C4—41no—
1802C4⋊C4—41no—
1803C4⋊C4—42no—
1804C4⋊C4—41no—
1805C4⋊C4—41no—
1806C4⋊C4—41no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—41no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C22⋊C4—22no—
1843C22⋊C4—22no—
1844C22⋊C4—22no—
1845C22⋊C4—24no—
1846C22⋊C4—24no—
1847C22⋊C4—24no—
1848C22⋊C4—24no—
1849C22⋊C4—24no—
1850C22⋊C4—24no—
1851C22⋊C4—24no—
1852C22⋊C4—24no—
1853C22⋊C4—24no—
1854C22⋊C4—24no—
1855C22⋊C4—24no—
1856C22⋊C4—24no—
1857C22⋊C4—24no—
1858C22⋊C4—24no—
1859C22⋊C4—24no—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—24no—
1863C22⋊C4—24no—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4H(5,𝔽2)14yes—
1919C42—22no—
1920C42—22no—
1921C42—22no—
1922C42—22no—
1923C42—22no—
1924C42—22no—
1925C42—22no—
1926C42—22no—
1927C42—22no—
1928C42—22no—
1929C42—24no—
1930C42—24no—
1931C42—24no—
1932C42—24no—
1933C42—24no—
1934C42—41no—
1935C42—41no—
1936C42—42no—
1937C42—41no—
1938C42—41no—
1939C42—42no—
1940C42—42no—
1941C42—41no—
1942C42—41no—
1943C42—41no—
1944C42—41no—
1945C42—41no—
1946C42—41no—
1947C42—42no—
1948C42—42no—
1949C42—42no—
1950C42—42no—
1951C42—42no—
1952C42—42no—
1953C42—42no—
1954C42—42no—
1955C42—42no—
1956C42—42no—
1957C42—41no—
1958C42—41no—
1959C42—41no—
1960C42—42no—
1961C42—42no—
1962C42—42no—
1963C42—41no—
1964C23—21no—
1965C23—22no—
1966C23—21no—
1967C23—22no—
1968C23—22no—
1969C23—22no—
1970C23—22no—
1971C23—22no—
1972C23—22no—
1973C23—22no—
1974C23—22no—
1975C23—22no—
1976C23—22no—
1977C23—22no—
1978C23—22no—
1979C23—22no—
1980C23—22no—
1981C23—22no—
1982C23—22no—
1983C23—22no—
1984C23—22no—
1985C23—22no—
1986C23—22no—
1987C23—22no—
1988C23—22no—
1989C23C2×H(5,𝔽2)12yes—
1990C23C2611yescharacteristic
1991Q8—44no—
1992Q8—44no—
1993Q8—44no—
1994Q8—44no—
1995Q8—84no—
1996Q8—82no—
1997Q8—84no—
1998Q8—162no—
1999Q8—162no—
2000Q8—162no—
2001D4—84no—
2002D4—82no—
2003D4—82no—
2004D4—82no—
2005D4—84no—
2006D4—84no—
2007D4—84no—
2008D4—84no—
2009D4—162no—
2010D4—162no—
2011D4—162no—
2012D4—162no—
2013C2×C4—28no—
2014C2×C4—21no—
2015C2×C4—21no—
2016C2×C4—21no—
2017C2×C4—21no—
2018C2×C4—21no—
2019C2×C4—22no—
2020C2×C4—21no—
2021C2×C4—21no—
2022C2×C4—21no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—21no—
2029C2×C4—21no—
2030C2×C4—21no—
2031C2×C4—21no—
2032C2×C4—21no—
2033C2×C4—21no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—21no—
2037C2×C4—21no—
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—21no—
2051C2×C4—21no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—21no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—21no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—48no—
2104C2×C4—44no—
2105C2×C4—44no—
2106C2×C4—84no—
2107C2×C4—84no—
2108C2×C4—84no—
2109C2×C4—84no—
2110C2×C4—84no—
2111C2×C4—162no—
2112C2×C4—162no—
2113C2×C4—162no—
2114C2×C4—162no—
2115C2×C4—162no—
2116C2×C4C2×H(5,𝔽2)12yes—
2117C2×C4C2×H(5,𝔽2)12yes—
2118C2×C4C2×2−1+412yes—
2119C2×C4C2×2−1+412yes—
2120C2×C4C2×2−1+412yes—
2121C2×C4#58514yes—
2122C2×C4#58512yes—
2123C2×C4#58514yes—
2124C22—22no—
2125C22—22no—
2126C22—22no—
2127C22—42no—
2128C22—42no—
2129C22—42no—
2130C22—42no—
2131C22—42no—
2132C22—42no—
2133C22—42no—
2134C22—42no—
2135C22—42no—
2136C22—42no—
2137C22—42no—
2138C22—42no—
2139C22—42no—
2140C22—42no—
2141C22—42no—
2142C22—42no—
2143C22—42no—
2144C22—42no—
2145C22—42no—
2146C22—42no—
2147C22—42no—
2148C22—42no—
2149C22—42no—
2150C22C22×H(5,𝔽2)11yescharacteristic
2151C22C22×2−1+411yescharacteristic
2152C22C2×#58512yes—
2153C22C2×#58512yes—
2154C22C2×#58511yescharacteristic
2155C4—22no—
2156C4—22no—
2157C4—22no—
2158C4—22no—
2159C4—22no—
2160C4—22no—
2161C4—24no—
2162C4—24no—
2163C4—41no—
2164C4—41no—
2165C4—42no—
2166C4—42no—
2167C4—42no—
2168C4—42no—
2169C4—41no—
2170C4—42no—
2171C4—42no—
2172C4—42no—
2173C4—41no—
2174C4—42no—
2175C4—41no—
2176C4—41no—
2177C4—42no—
2178C4—42no—
2179C4—42no—
2180C4—42no—
2181C4—41no—
2182C4—41no—
2183C4—42no—
2184C4—42no—
2185C4—42no—
2186C4—42no—
2187C4—42no—
2188C4—42no—
2189C4—42no—
2190C2—42no—
2191C2—82no—
2192C2—82no—
2193C2—82no—
2194C2#6281911yescharacteristic
2195C2#6282812yes—
2196C2#6302411yescharacteristic
2197C2#6302411yescharacteristic
2198C2#6303412yes—
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. #59993C2semidirect
2. #59966C2semidirect
3. #59952C2semidirect
4. #59948C2semidirect
5. #59935C2semidirect
6. #59928C2semidirect
7. #59885C2semidirect
8. #59743C2semidirect
9. #59607C2semidirect
10. #52081C2semidirect
11. #51995C2semidirect
12. #51873C2semidirect
13. #51831C2semidirect
14. #51759C2semidirect
15. #51740C2semidirect
16. #51681C2semidirect
17. #51627C2semidirect
18. #51601C2semidirect
19. #51576C2semidirect
20. #51491C2semidirect
21. #51380C2semidirect
22. #51289C2semidirect
23. #50357C2semidirect
24. #49989C2semidirect
25. #49981C2semidirect
26. #49584C2semidirect
27. #49577C2semidirect
28. #49567C2semidirect
29. #49521C2semidirect
30. #48419C2semidirect
31. #47638C2semidirect
32. #47597C2semidirect
33. #47590C2semidirect
34. #35678C2semidirect
35. #35669C2semidirect
36. #35668C2semidirect
37. #35599C2semidirect
38. #35589C2semidirect
39. #35477C2semidirect

Maximal subgroups

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

subgroupindex
#599932
#599662
#599522
#599482
#599352
#599282
#598852
#597432
#596072
#520812
#519952
#518732
#518312
#517592
#517402
#516812
#516272
#516012
#515762
#514912
#513802
#512892
#503572
#499892
#499812
#495842
#495772
#495672
#495212
#484192
#476382
#475972
#475902
#356782
#356692
#356682
#355992
#355892
#354772