Finite Group Databasebeta

← #9059381

Subgroups — #9059381

Order 512.

4538 conjugacy classes of subgroups.

The subgroup lattice has 2171 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59799C212yesmaximal, complemented
2#59798C211yesmaximal, characteristic, complemented
3#59621C211yesmaximal, characteristic, complemented
4#58439C212yesmaximal, complemented
5#56821C212yesmaximal, complemented
6#55015C212yesmaximal, complemented
7#54782C212yesmaximal, complemented
8#50237C211yesmaximal, characteristic, complemented
9#49681C211yesmaximal, characteristic, complemented
10#48975C212yesmaximal, complemented
11#48063C212yesmaximal, complemented
12#47698C212yesmaximal, complemented
13#47387C212yesmaximal, complemented
14#46777C212yesmaximal, complemented
15#46717C212yesmaximal, complemented
16#46539C212yesmaximal, complemented
17#46360C211yesmaximal, characteristic, complemented
18#46356C211yesmaximal, characteristic, complemented
19#45008C212yesmaximal, complemented
20#44128C212yesmaximal, complemented
21#44015C212yesmaximal, complemented
22#43953C212yesmaximal, complemented
23#43833C212yesmaximal, complemented
24#43718C212yesmaximal, complemented
25#43636C212yesmaximal, complemented
26#43505C212yesmaximal, complemented
27#43493C212yesmaximal, complemented
28#43437C212yesmaximal, complemented
29#43377C212yesmaximal, complemented
30#43247C212yesmaximal, complemented
31#35877C212yesmaximal, complemented
32#35811C212yesmaximal, complemented
33#35772C212yesmaximal, complemented
34#35618C211yesmaximal, characteristic, complemented
35#35459C212yesmaximal, complemented
36C2×#552C2212yes—
37C2×#543C2211yescharacteristic
38C2×#539C2211yescharacteristic, complemented
39C2×#537C2211yescharacteristic
40C2×#520C2211yescharacteristic, complemented
41#2843C2212yescomplemented
42#2836C2212yescomplemented
43#2831C2212yescomplemented
44#2829C2212yes—
45#2826C2212yescomplemented
46#2816C2211yescharacteristic
47#2815C2211yescharacteristic, complemented
48#2809C2211yescharacteristic, complemented
49#2808C2212yescomplemented
50#2804C2211yescharacteristic, complemented
51#2803C2212yes—
52#2800C2212yes—
53#2799C2212yescomplemented
54#2797C2212yes—
55#2797C2212yescomplemented
56#2794C2212yescomplemented
57#2793C2212yes—
58#2793C2212yescomplemented
59#2790C2212yes—
60#2790C2212yes—
61#2786C2212yes—
62#2783C2212yescomplemented
63#2781C2212yescomplemented
64#2779C2212yes—
65#2779C2212yes—
66#2778C2212yes—
67#2778C2212yes—
68#2775C2212yescomplemented
69#2775C2212yescomplemented
70#2768C2212yescomplemented
71#2767C2212yescomplemented
72#2766C2212yescomplemented
73#2766C2212yescomplemented
74#2765C2212yes—
75#2765C2212yescomplemented
76#2764C2212yes—
77#2764C2212yescomplemented
78#2762C2212yescomplemented
79#2761C2212yes—
80#2760C2212yescomplemented
81#2757C2212yes—
82#2757C2212yes—
83#2756C2212yes—
84#2756C2212yes—
85#2756C2212yes—
86#2754C2212yescomplemented
87#2753C2212yescomplemented
88#2749C2212yes—
89#2748C2211yescharacteristic
90#2748C2211yescharacteristic
91#2746C2212yescomplemented
92#2745C2212yes—
93#2745C2212yescomplemented
94#2745C2212yescomplemented
95#2743C2212yes—
96#2743C2212yescomplemented
97#2737C2212yescomplemented
98#2732C2212yes—
99#2731C2211yescharacteristic, complemented
100#2730C2212yes—
101#2730C2212yescomplemented
102#2728C2212yes—
103#2728C2212yes—
104#2723C2212yes—
105#2723C2212yes—
106#2722C2212yescomplemented
107#2721C2212yescomplemented
108#2719C2212yescomplemented
109#2718C2212yes—
110#2717C2211yescharacteristic, complemented
111#2715C2212yescomplemented
112#2714C2212yes—
113#2714C2212yes—
114#2712C2212yescomplemented
115#2707C2212yes—
116#2706C2212yes—
117#2703C2212yes—
118#2703C2212yescomplemented
119#2699C2212yes—
120#2698C2212yescomplemented
121#2697C2211yescharacteristic
122#2695C2212yescomplemented
123#2694C2212yescomplemented
124#2693C2212yes—
125#2692C2212yes—
126#2692C2212yescomplemented
127#2690C2212yes—
128#2690C2212yes—
129#2690C2212yes—
130#2690C2212yes—
131#2690C2212yescomplemented
132#2688C2212yes—
133#2688C2212yes—
134#2688C2212yes—
135#2681C2212yes—
136#2678C2212yes—
137#2676C2212yes—
138#2676C2212yes—
139#2676C2212yes—
140#2673C2212yes—
141#2672C2212yes—
142#2671C2212yes—
143#2669C2211yescharacteristic
144#2662C2212yescomplemented
145#2654C2212yescomplemented
146#2653C2212yes—
147#2651C2212yes—
148#2643C2212yes—
149#2636C2212yescomplemented
150#2636C2212yescomplemented
151#2635C2212yes—
152#2629C2212yescomplemented
153#2609C2212yes—
154#2609C2212yes—
155#2603C2212yes—
156#2602C2212yes—
157#2601C2212yescomplemented
158#2601C2212yescomplemented
159#2600C2212yes—
160#2599C2212yescomplemented
161#2598C2212yes—
162#2597C2212yes—
163#2596C2212yes—
164#2595C2212yes—
165#2594C2212yes—
166#2593C2212yescomplemented
167#2591C2211yescharacteristic, complemented
168#2578C2212yes—
169#2578C2212yes—
170#2578C2212yes—
171#2578C2212yescomplemented
172#2578C2212yescomplemented
173#2577C2212yes—
174#2577C2212yescomplemented
175#2577C2212yescomplemented
176#2576C2212yes—
177#2576C2212yes—
178#2576C2212yes—
179#2575C2212yes—
180#2575C2212yescomplemented
181#2575C2212yescomplemented
182#2574C2212yes—
183#2574C2212yes—
184#2574C2212yescomplemented
185#2566C2212yescomplemented
186#2564C2212yes—
187#2560C2212yes—
188#2560C2212yes—
189#2560C2212yes—
190#2559C2212yes—
191#2559C2212yescomplemented
192#2557C2212yes—
193#2557C2212yes—
194#2557C2212yescomplemented
195#2556C2212yes—
196#2556C2212yescomplemented
197#2555C2212yes—
198#2554C2212yes—
199#2554C2212yescomplemented
200#2553C2212yes—
201#2553C2212yescomplemented
202#2543C2212yes—
203#2540C2212yes—
204#2539C2211yescharacteristic
205#2538C2212yes—
206#2537C2212yes—
207#2533C2212yescomplemented
208#2532C2212yes—
209#2531C2212yes—
210#2531C2212yes—
211#2529C2212yescomplemented
212#2528C2212yescomplemented
213#2528C2212yescomplemented
214#2527C2212yescomplemented
215#2526C2212yes—
216#2525C2212yescomplemented
217#2524C2212yescomplemented
218#2520C2212yescomplemented
219#2519C2212yescomplemented
220#2519C2212yescomplemented
221#2518C2212yes—
222#2518C2212yes—
223#2517C2212yes—
224#2516C2212yes—
225#2516C2212yescomplemented
226#2516C2212yescomplemented
227#2516C2212yescomplemented
228#2515C2212yes—
229#2515C2212yescomplemented
230#2514C2212yescomplemented
231#2511C2212yescomplemented
232#2510C2212yes—
233#2508C2212yescomplemented
234#2506C2212yescomplemented
235#2505C2212yes—
236#2504C2212yes—
237#2503C2212yes—
238#2503C2212yescomplemented
239#2500C2212yes—
240#2499C2212yescomplemented
241#2498C2212yescomplemented
242#2493C2212yescomplemented
243#2493C2212yescomplemented
244#2490C2212yes—
245#2490C2212yes—
246#2489C2212yes—
247#2489C2212yes—
248#2488C2212yes—
249#2488C2212yes—
250#2488C2212yes—
251#2488C2212yescomplemented
252#2481C2212yescomplemented
253#2479C2212yes—
254#2477C2212yes—
255#2477C2212yes—
256#2475C2212yes—
257#2473C2212yes—
258#2473C2212yescomplemented
259#2473C2212yescomplemented
260#2473C2212yescomplemented
261#2472C2212yes—
262#2464C2212yes—
263#2464C2212yes—
264#2464C2212yescomplemented
265#2461C2212yescomplemented
266#2460C2212yescomplemented
267#2460C2212yescomplemented
268#2460C2212yescomplemented
269#2459C2212yes—
270#2459C2212yescomplemented
271#2458C2212yes—
272#2457C2212yes—
273#2457C2212yes—
274#2456C2212yes—
275#2456C2212yes—
276#2456C2212yes—
277#2452C2212yes—
278#2451C2212yescomplemented
279#2450C2212yes—
280#2449C2212yes—
281#2447C2212yes—
282#2447C2212yes—
283#2445C2212yes—
284#2444C2212yes—
285#2444C2212yes—
286#2444C2212yes—
287#2444C2212yescomplemented
288#2444C2212yescomplemented
289#2444C2212yescomplemented
290#2443C2212yes—
291#2443C2212yes—
292#2443C2212yes—
293#2438C2212yes—
294#2438C2212yes—
295#2432C2211yescharacteristic
296#2431C2211yescharacteristic
297#2425C2212yes—
298#2424C2212yes—
299#2424C2212yes—
300#2424C2212yes—
301#2424C2212yes—
302#2423C2212yescomplemented
303#2422C2212yes—
304#2421C2212yes—
305#2421C2212yes—
306#2421C2212yescomplemented
307#2420C2212yes—
308#2420C2212yes—
309#2420C2212yescomplemented
310#2419C2212yes—
311#2418C2212yes—
312#2412C2212yes—
313#2412C2212yes—
314#2407C2212yes—
315#2407C2212yescomplemented
316#2406C2211yescharacteristic
317#2404C2211yescharacteristic
318#2402C2212yescomplemented
319#2401C2212yes—
320#2395C2212yescomplemented
321#2392C2212yes—
322#2392C2212yes—
323#2392C2212yes—
324C2×#397C2212yes—
325#2380C2211yescharacteristic
326#2379C2211yescharacteristic, complemented
327#2374C2212yes—
328#2374C2211yescharacteristic
329#2374C2211yescharacteristic, complemented
330#2373C2212yescomplemented
331#2373C2212yescomplemented
332#2372C2211yescharacteristic, complemented
333#2372C2212yescomplemented
334#2369C2211yescharacteristic, complemented
335#2368C2212yes—
336#2368C2212yes—
337#2368C2212yescomplemented
338#2367C2212yes—
339#2367C2212yescomplemented
340#2364C2212yes—
341#2364C2212yes—
342#2363C2212yes—
343#2363C2212yescomplemented
344#2361C2212yes—
345#2358C2211yescharacteristic
346#2358C2212yes—
347#2358C2211yescharacteristic
348#2357C2212yes—
349#2355C2212yescomplemented
350#2353C2212yes—
351#2352C2212yes—
352#2352C2212yescomplemented
353D4×C4⋊C4C2212yes—
354#2342C2212yes—
355#2342C2212yes—
356#2336C2212yescomplemented
357#2335C2212yes—
358#2333C2212yes—
359#2332C2211yescharacteristic
360#2332C2211yescharacteristic, complemented
361#2332C2212yescomplemented
362#2329C2212yescomplemented
363#2325C2212yes—
364#2325C2212yes—
365#2325C2212yes—
366#2321C2212yes—
367#2320C2212yescomplemented
368#2319C2212yes—
369#2318C2212yes—
370#2318C2212yescomplemented
371#2317C2211yescharacteristic, complemented
372#2311C2211yescharacteristic
373C4×#123C2212yes—
374C4×#123C2212yescomplemented
375#2297C2211yescharacteristic
376#2297C2211yescharacteristic, complemented
377C2×#382C2211yescharacteristic, complemented
378#2275C2212yes—
379C22×#41C2311yescharacteristic
380C22×#41C2311yescharacteristic
381#552—48no—
382#543—44no—
383#539—44no—
384#537—44no—
385C2×C4⋊Q8C2311yescharacteristic
386C2×#127C2311yescharacteristic
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#124C2312yes—
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#124C2311yescharacteristic
401C2×#124C2311yescharacteristic
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2311yescharacteristic
405C2×#123C2312yes—
406C2×#123C2311yescharacteristic
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#120C2312yes—
441C2×#120C2311yescharacteristic
442C2×#120C2311yescharacteristic
443C2×#120C2312yes—
444#520—44no—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×#117C2311yescharacteristic
464C2×#117C2311yescharacteristic
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2311yescharacteristic
471C22×C4⋊C4C2311yescharacteristic
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2312yes—
474C22×C22⋊C4C2312yes—
475C22×C22⋊C4C2311yescharacteristic
476C22×C22⋊C4C2312yes—
477C22×C22⋊C4C2312yes—
478C22×C42C2311yescharacteristic
479#401C2312yes—
480#401C2312yes—
481#401C2312yes—
482#401C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
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#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
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#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#392C2312yes—
670#392C2312yes—
671#392C2312yes—
672#392C2312yes—
673#392C2312yes—
674#392C2312yes—
675#392C2312yes—
676#392C2312yes—
677#392C2312yes—
678#392C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2311yescharacteristic
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2311yescharacteristic
695#391C2311yescharacteristic
696#391C2311yescharacteristic
697#391C2312yes—
698#391C2312yes—
699#390C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#390C2312yes—
704#390C2312yes—
705#390C2312yes—
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2311yescharacteristic
716#390C2312yes—
717#390C2311yescharacteristic
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2311yescharacteristic
722#390C2311yescharacteristic
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#388C2312yes—
742#388C2312yes—
743#388C2312yes—
744#388C2312yes—
745#388C2312yes—
746#388C2312yes—
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#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
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#386C2312yes—
886#386C2312yes—
887#386C2312yes—
888#386C2312yes—
889#386C2312yes—
890#386C2311yescharacteristic
891#386C2311yescharacteristic
892#386C2311yescharacteristic
893#386C2311yescharacteristic
894#386C2312yes—
895#386C2312yes—
896#386C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2311yescharacteristic
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#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2311yescharacteristic
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2311yescharacteristic
938#386C2311yescharacteristic
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
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#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#384C2312yes—
986#384C2312yes—
987#384C2312yes—
988#383C2312yes—
989#383C2312yes—
990#383C2312yes—
991#383C2312yes—
992#383C2312yes—
993#383C2312yes—
994#383C2312yes—
995#382C2312yes—
996#382C2312yes—
997#382C2312yes—
998#382C2312yes—
999#382C2312yes—
1000#382C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#381C2311yescharacteristic
1009#381C2312yes—
1010#381C2312yes—
1011#381C2312yes—
1012#381C2312yes—
1013#381C2311yescharacteristic
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#380C2312yes—
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#379C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
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×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2311yescharacteristic
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2311yescharacteristic
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C2×#41—24no—
1105C2×#41—42no—
1106C2×#41—42no—
1107C2×#41—42no—
1108C2×#41—42no—
1109C2×#41—42no—
1110C22×Q8C2412yes—
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2412yes—
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2411yescharacteristic
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2411yescharacteristic
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2411yescharacteristic
1125C22×D4C2411yescharacteristic
1126C22×D4C2411yescharacteristic
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2411yescharacteristic
1134C23×C4C2411yescharacteristic
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2411yescharacteristic
1140C23×C4C2411yescharacteristic
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2411yescharacteristic
1147C23×C4C2411yescharacteristic
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2411yescharacteristic
1151C23×C4C2411yescharacteristic
1152C23×C4C2411yescharacteristic
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C23×C4C2412yes—
1156C4⋊Q8—42no—
1157#127—42no—
1158#126—44no—
1159#126—44no—
1160#126—44no—
1161#126—44no—
1162#126—44no—
1163#125—44no—
1164#125—44no—
1165#125—44no—
1166#125—44no—
1167#125—44no—
1168#124—44no—
1169#124—44no—
1170#124—42no—
1171#124—42no—
1172#124—44no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179#123—44no—
1180#123—42no—
1181#123—44no—
1182#123—42no—
1183C22⋊Q8—24no—
1184C22⋊Q8—24no—
1185C22⋊Q8—28no—
1186C22⋊Q8—28no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189C22⋊Q8—44no—
1190C22⋊Q8—44no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—44no—
1195C22⋊Q8—42no—
1196#121—44no—
1197#121—42no—
1198#121—44no—
1199#121—44no—
1200#121—44no—
1201#121—44no—
1202#121—44no—
1203#121—44no—
1204#121—44no—
1205#121—44no—
1206#121—44no—
1207#121—44no—
1208#121—42no—
1209#121—42no—
1210#121—44no—
1211#120—42no—
1212#120—44no—
1213#120—44no—
1214#120—42no—
1215C4×Q8—28no—
1216C4×Q8—44no—
1217C4×D4—44no—
1218C4×D4—44no—
1219C4×D4—44no—
1220C4×D4—44no—
1221C4×D4—44no—
1222C4×D4—44no—
1223C4×D4—44no—
1224C4×D4—44no—
1225C4×D4—44no—
1226C4×D4—44no—
1227C4×D4—44no—
1228C4×D4—44no—
1229C4×D4—44no—
1230C4×D4—44no—
1231C4×D4—44no—
1232C4×D4—44no—
1233#117—42no—
1234#117—42no—
1235#117—44no—
1236#117—44no—
1237#117—44no—
1238#117—44no—
1239C2×C4⋊C4—44no—
1240C2×C4⋊C4—42no—
1241C2×C4⋊C4—42no—
1242C2×C4⋊C4—42no—
1243C2×C4⋊C4—44no—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C22⋊C4—42no—
1317C2×C22⋊C4—44no—
1318C2×C22⋊C4—44no—
1319C2×C22⋊C4—44no—
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⋊C4C2411yescharacteristic
1357C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1374C2×C22⋊C4C2411yescharacteristic
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2411yescharacteristic
1397C2×C22⋊C4C2411yescharacteristic
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×C42—42no—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2411yescharacteristic
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2411yescharacteristic
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2411yescharacteristic
1437C2×C42C2411yescharacteristic
1438C2×C42C2412yes—
1439C2×C42C2411yescharacteristic
1440C2×C42C2411yescharacteristic
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#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545C24—24no—
1546C24—41no—
1547C24—42no—
1548C24—41no—
1549C24—41no—
1550C24C2511yescharacteristic
1551C24C2512yes—
1552C24C2511yescharacteristic
1553C24C2512yes—
1554C24C2512yes—
1555C24C2511yescharacteristic
1556#41—416no—
1557#41—88no—
1558C2×Q8—24no—
1559C2×Q8—22no—
1560C2×Q8—41no—
1561C2×Q8—41no—
1562C2×Q8—42no—
1563C2×Q8—41no—
1564C2×Q8—42no—
1565C2×Q8—41no—
1566C2×Q8—42no—
1567C2×Q8—41no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—41no—
1571C2×Q8—41no—
1572C2×Q8H(5,𝔽2)14yes—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—24no—
1576C2×D4—24no—
1577C2×D4—24no—
1578C2×D4—24no—
1579C2×D4—24no—
1580C2×D4—24no—
1581C2×D4—22no—
1582C2×D4—24no—
1583C2×D4—22no—
1584C2×D4—24no—
1585C2×D4—22no—
1586C2×D4—24no—
1587C2×D4—22no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—41no—
1592C2×D4—41no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—41no—
1601C2×D4—41no—
1602C2×D4—41no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—41no—
1613C2×D4—41no—
1614C2×D4—41no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—41no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—41no—
1628C2×D4—42no—
1629C2×D4—41no—
1630C22×C4—22no—
1631C22×C4—22no—
1632C22×C4—22no—
1633C22×C4—24no—
1634C22×C4—24no—
1635C22×C4—24no—
1636C22×C4—24no—
1637C22×C4—24no—
1638C22×C4—24no—
1639C22×C4—22no—
1640C22×C4—22no—
1641C22×C4—24no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—41no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—41no—
1656C22×C4—41no—
1657C22×C4—41no—
1658C22×C4—41no—
1659C22×C4—41no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—41no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—41no—
1667C22×C4—41no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—41no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—41no—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2511yescharacteristic
1701C22×C4C2511yescharacteristic
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2511yescharacteristic
1718C22×C4C2512yes—
1719C22×C4C2511yescharacteristic
1720C22×C4C2512yes—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—22no—
1726C4⋊C4—22no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—41no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—41no—
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—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—41no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—41no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—41no—
1824C22⋊C4—41no—
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—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—41no—
1843C22⋊C4—42no—
1844C22⋊C4—41no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—41no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—41no—
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—
1883C42—24no—
1884C42—24no—
1885C42—24no—
1886C42—24no—
1887C42—24no—
1888C42—41no—
1889C42—41no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—42no—
1906C42—41no—
1907C42—42no—
1908C42—41no—
1909C42—42no—
1910C42—42no—
1911C42—41no—
1912C42—41no—
1913C23—22no—
1914C23—21no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—21no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—21no—
1925C23—21no—
1926C23—22no—
1927C23—22no—
1928C23—22no—
1929C23—22no—
1930C23—22no—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—21no—
1936C23—22no—
1937C23—21no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—21no—
1944C23—22no—
1945C23—22no—
1946C23—21no—
1947C23—44no—
1948C23—84no—
1949C23—84no—
1950C23—161no—
1951C23—161no—
1952C23#58514yes—
1953C23#58512yes—
1954C23C2611yescharacteristic
1955Q8—44no—
1956Q8—84no—
1957Q8—82no—
1958Q8—162no—
1959Q8—161no—
1960D4—48no—
1961D4—48no—
1962D4—44no—
1963D4—48no—
1964D4—82no—
1965D4—84no—
1966D4—84no—
1967D4—84no—
1968D4—84no—
1969D4—84no—
1970D4—82no—
1971D4—82no—
1972D4—84no—
1973D4—84no—
1974D4—162no—
1975D4—162no—
1976D4—161no—
1977D4—162no—
1978D4—162no—
1979C2×C4—28no—
1980C2×C4—21no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—21no—
1984C2×C4—21no—
1985C2×C4—22no—
1986C2×C4—21no—
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—21no—
2000C2×C4—22no—
2001C2×C4—21no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—21no—
2033C2×C4—21no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—21no—
2041C2×C4—21no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—48no—
2064C2×C4—84no—
2065C2×C4—84no—
2066C2×C4—82no—
2067C2×C4—82no—
2068C2×C4—84no—
2069C2×C4—84no—
2070C2×C4—84no—
2071C2×C4—82no—
2072C2×C4—161no—
2073C2×C4—162no—
2074C2×C4—162no—
2075C2×C4—161no—
2076C2×C4—162no—
2077C2×C4—162no—
2078C2×C4—162no—
2079C2×C4—162no—
2080C2×C4—161no—
2081C2×C4—161no—
2082C2×C4—162no—
2083C2×C4—162no—
2084C2×C4C2×H(5,𝔽2)12yes—
2085C2×C4C2×H(5,𝔽2)14yes—
2086C2×C4#58512yes—
2087C2×C4#58514yes—
2088C22—24no—
2089C22—24no—
2090C22—22no—
2091C22—24no—
2092C22—24no—
2093C22—41no—
2094C22—42no—
2095C22—42no—
2096C22—41no—
2097C22—42no—
2098C22—42no—
2099C22—42no—
2100C22—41no—
2101C22—42no—
2102C22—42no—
2103C22—41no—
2104C22—42no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—41no—
2111C22—41no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—41no—
2116C22—41no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22—42no—
2124C22—164no—
2125C22C22×H(5,𝔽2)11yescharacteristic
2126C22C2×#58512yes—
2127C22C2×#58511yescharacteristic
2128C22C2×#58512yes—
2129C22C2×#58511yescharacteristic
2130C4—24no—
2131C4—22no—
2132C4—22no—
2133C4—24no—
2134C4—42no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—42no—
2143C4—42no—
2144C4—42no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—41no—
2151C4—41no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C4—42no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C2—42no—
2160C2—44no—
2161C2—81no—
2162C2—82no—
2163C2—82no—
2164C2—81no—
2165C2#6282011yescharacteristic
2166C2#6282912yes—
2167C2#6302011yescharacteristic
2168C2#6302712yes—
2169C2#6303511yescharacteristic
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. #59799C2semidirect
2. #59798C2semidirect
3. #59621C2semidirect
4. #58439C2semidirect
5. #56821C2semidirect
6. #55015C2semidirect
7. #54782C2semidirect
8. #50237C2semidirect
9. #49681C2semidirect
10. #48975C2semidirect
11. #48063C2semidirect
12. #47698C2semidirect
13. #47387C2semidirect
14. #46777C2semidirect
15. #46717C2semidirect
16. #46539C2semidirect
17. #46360C2semidirect
18. #46356C2semidirect
19. #45008C2semidirect
20. #44128C2semidirect
21. #44015C2semidirect
22. #43953C2semidirect
23. #43833C2semidirect
24. #43718C2semidirect
25. #43636C2semidirect
26. #43505C2semidirect
27. #43493C2semidirect
28. #43437C2semidirect
29. #43377C2semidirect
30. #43247C2semidirect
31. #35877C2semidirect
32. #35811C2semidirect
33. #35772C2semidirect
34. #35618C2semidirect
35. #35459C2semidirect
38. C2×#539C22semidirect
40. C2×#520C22semidirect
41. #2843C22semidirect
42. #2836C22semidirect
43. #2831C22semidirect
45. #2826C22semidirect
47. #2815C22semidirect
48. #2809C22semidirect
49. #2808C22semidirect
50. #2804C22semidirect
53. #2799C22semidirect
55. #2797C22semidirect
56. #2794C22semidirect
58. #2793C22semidirect
62. #2783C22semidirect
63. #2781C22semidirect
68. #2775C22semidirect
69. #2775C22semidirect
70. #2768C22semidirect
71. #2767C22semidirect
72. #2766C22semidirect
73. #2766C22semidirect
75. #2765C22semidirect
77. #2764C22semidirect
78. #2762C22semidirect
80. #2760C22semidirect
86. #2754C22semidirect
87. #2753C22semidirect
91. #2746C22semidirect
93. #2745C22semidirect
94. #2745C22semidirect
96. #2743C22semidirect
97. #2737C22semidirect
99. #2731C22semidirect
101. #2730C22semidirect
106. #2722C22semidirect
107. #2721C22semidirect
108. #2719C22semidirect
110. #2717C22semidirect
111. #2715C22semidirect
114. #2712C22semidirect
118. #2703C22semidirect
120. #2698C22semidirect
122. #2695C22semidirect
123. #2694C22semidirect
126. #2692C22semidirect
131. #2690C22semidirect
144. #2662C22semidirect
145. #2654C22semidirect
149. #2636C22semidirect
150. #2636C22semidirect
152. #2629C22semidirect
157. #2601C22semidirect
158. #2601C22semidirect
160. #2599C22semidirect
166. #2593C22semidirect
167. #2591C22semidirect
171. #2578C22semidirect
172. #2578C22semidirect
174. #2577C22semidirect
175. #2577C22semidirect
180. #2575C22semidirect
181. #2575C22semidirect
184. #2574C22semidirect
185. #2566C22semidirect
191. #2559C22semidirect
194. #2557C22semidirect
196. #2556C22semidirect
199. #2554C22semidirect
201. #2553C22semidirect
207. #2533C22semidirect
211. #2529C22semidirect
212. #2528C22semidirect
213. #2528C22semidirect
214. #2527C22semidirect
216. #2525C22semidirect
217. #2524C22semidirect
218. #2520C22semidirect
219. #2519C22semidirect
220. #2519C22semidirect
225. #2516C22semidirect
226. #2516C22semidirect
227. #2516C22semidirect
229. #2515C22semidirect
230. #2514C22semidirect
231. #2511C22semidirect
233. #2508C22semidirect
234. #2506C22semidirect
238. #2503C22semidirect
240. #2499C22semidirect
241. #2498C22semidirect
242. #2493C22semidirect
243. #2493C22semidirect
251. #2488C22semidirect
252. #2481C22semidirect
258. #2473C22semidirect
259. #2473C22semidirect
260. #2473C22semidirect
264. #2464C22semidirect
265. #2461C22semidirect
266. #2460C22semidirect
267. #2460C22semidirect
268. #2460C22semidirect
270. #2459C22semidirect
278. #2451C22semidirect
287. #2444C22semidirect
288. #2444C22semidirect
289. #2444C22semidirect
302. #2423C22semidirect
306. #2421C22semidirect
309. #2420C22semidirect
315. #2407C22semidirect
318. #2402C22semidirect
320. #2395C22semidirect
326. #2379C22semidirect
329. #2374C22semidirect
330. #2373C22semidirect
331. #2373C22semidirect
332. #2372C22semidirect
333. #2372C22semidirect
334. #2369C22semidirect
337. #2368C22semidirect
339. #2367C22semidirect
343. #2363C22semidirect
349. #2355C22semidirect
352. #2352C22semidirect
356. #2336C22semidirect
360. #2332C22semidirect
361. #2332C22semidirect
362. #2329C22semidirect
367. #2320C22semidirect
370. #2318C22semidirect
371. #2317C22semidirect
374. C4×#123C22semidirect
376. #2297C22semidirect
377. C2×#382C22semidirect

Maximal subgroups

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

subgroupindex
#597992
#597982
#596212
#584392
#568212
#550152
#547822
#502372
#496812
#489752
#480632
#476982
#473872
#467772
#467172
#465392
#463602
#463562
#450082
#441282
#440152
#439532
#438332
#437182
#436362
#435052
#434932
#434372
#433772
#432472
#358772
#358112
#357722
#356182
#354592