Finite Group Databasebeta

← #8388993

Subgroups — #8388993

Order 512.

4536 conjugacy classes of subgroups.

The subgroup lattice has 2136 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60047C211yesmaximal, characteristic, complemented
2#59722C212yesmaximal, complemented
3#59357C211yesmaximal, characteristic, complemented
4#58747C212yesmaximal, complemented
5#57007C212yesmaximal, complemented
6#56369C212yesmaximal, complemented
7#55169C212yesmaximal, complemented
8#51414C212yesmaximal, complemented
9#50320C212yesmaximal, complemented
10#50108C212yesmaximal, complemented
11#49904C212yesmaximal, complemented
12#49646C212yesmaximal, complemented
13#49459C212yesmaximal, complemented
14#48307C212yesmaximal, complemented
15#48206C212yesmaximal, complemented
16#46318C211yesmaximal, characteristic, complemented
17#45866C212yesmaximal, complemented
18#45461C211yesmaximal, characteristic, complemented
19#45101C212yesmaximal, complemented
20#44501C212yesmaximal, complemented
21#44362C212yesmaximal, complemented
22#44032C212yesmaximal, complemented
23#43758C212yesmaximal, complemented
24#43341C212yesmaximal, complemented
25#40827C212yesmaximal, complemented
26#40419C212yesmaximal, complemented
27#40313C212yesmaximal, complemented
28#37980C212yesmaximal, complemented
29#37803C212yesmaximal, complemented
30#36831C211yesmaximal, characteristic, complemented
31#36331C212yesmaximal, complemented
32#36229C212yesmaximal, complemented
33#35811C212yesmaximal, complemented
34#35442C211yesmaximal, characteristic, complemented
35#34742C211yesmaximal, characteristic, complemented
36C2×#556C2212yescomplemented
37C2×#542C2212yes—
38C2×#525C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40#2854C2212yes—
41#2852C2212yes—
42#2852C2212yescomplemented
43#2850C2212yescomplemented
44#2849C2212yes—
45#2842C2211yescharacteristic
46#2837C2212yes—
47#2829C2212yes—
48#2828C2211yescharacteristic, complemented
49#2828C2211yescharacteristic, complemented
50#2826C2212yes—
51#2825C2212yes—
52#2812C2211yescharacteristic
53#2809C2211yescharacteristic, complemented
54#2809C2211yescharacteristic, complemented
55#2807C2212yes—
56#2803C2212yes—
57#2803C2212yes—
58#2803C2212yes—
59#2800C2212yes—
60#2800C2212yescomplemented
61#2798C2212yes—
62#2798C2212yescomplemented
63#2797C2212yes—
64#2795C2212yes—
65#2790C2212yescomplemented
66#2783C2212yes—
67#2783C2212yescomplemented
68#2781C2212yes—
69#2779C2212yescomplemented
70#2776C2212yescomplemented
71#2773C2212yescomplemented
72#2773C2212yescomplemented
73#2772C2212yes—
74#2771C2211yescharacteristic
75#2767C2212yescomplemented
76#2767C2212yescomplemented
77#2762C2212yescomplemented
78#2757C2212yes—
79#2757C2212yescomplemented
80#2756C2212yes—
81#2752C2212yes—
82#2752C2211yescharacteristic
83#2752C2212yescomplemented
84#2752C2212yescomplemented
85#2750C2212yescomplemented
86#2749C2212yescomplemented
87#2748C2212yes—
88#2746C2212yes—
89#2744C2212yescomplemented
90#2743C2212yes—
91#2743C2212yes—
92#2743C2212yescomplemented
93#2740C2212yescomplemented
94#2740C2212yescomplemented
95#2739C2212yes—
96#2738C2212yescomplemented
97#2735C2211yescharacteristic
98#2734C2211yescharacteristic, complemented
99#2733C2212yes—
100#2733C2211yescharacteristic, complemented
101#2731C2212yes—
102#2730C2212yes—
103#2730C2212yes—
104#2730C2212yes—
105#2730C2212yescomplemented
106#2729C2212yes—
107#2729C2212yescomplemented
108#2727C2212yes—
109#2727C2212yescomplemented
110#2727C2212yescomplemented
111#2723C2212yescomplemented
112#2722C2212yescomplemented
113#2717C2212yescomplemented
114#2715C2212yes—
115#2715C2212yes—
116#2715C2212yes—
117#2714C2212yes—
118#2714C2212yes—
119#2707C2212yes—
120#2706C2212yes—
121#2706C2212yes—
122#2706C2212yes—
123#2706C2212yes—
124#2705C2212yes—
125#2705C2212yes—
126#2705C2212yescomplemented
127#2703C2212yes—
128#2703C2212yes—
129#2700C2212yes—
130#2699C2212yes—
131#2698C2212yescomplemented
132#2698C2212yescomplemented
133#2695C2212yes—
134#2694C2212yes—
135#2694C2212yes—
136#2691C2212yes—
137#2689C2212yescomplemented
138#2689C2212yescomplemented
139#2687C2212yes—
140#2687C2212yes—
141#2686C2212yes—
142#2685C2212yes—
143#2684C2212yes—
144#2682C2212yescomplemented
145#2681C2212yes—
146#2676C2212yes—
147#2673C2212yes—
148#2673C2212yes—
149#2670C2212yes—
150#2670C2212yes—
151#2669C2212yes—
152#2668C2211yescharacteristic
153#2662C2212yes—
154#2661C2212yes—
155#2654C2212yescomplemented
156#2654C2212yescomplemented
157#2651C2212yes—
158#2651C2212yes—
159#2649C2212yescomplemented
160#2648C2212yes—
161#2637C2212yes—
162#2637C2212yes—
163#2635C2212yes—
164#2635C2212yes—
165#2635C2212yes—
166#2628C2212yes—
167#2624C2212yes—
168#2611C2211yescharacteristic
169#2611C2211yescharacteristic
170#2608C2212yes—
171#2607C2211yescharacteristic
172#2606C2211yescharacteristic, complemented
173#2605C2211yescharacteristic, complemented
174#2603C2212yes—
175#2603C2212yescomplemented
176#2603C2212yescomplemented
177#2602C2212yes—
178#2600C2212yes—
179#2600C2211yescharacteristic
180#2598C2211yescharacteristic
181#2598C2212yes—
182#2598C2211yescharacteristic
183#2598C2212yescomplemented
184#2597C2212yes—
185#2597C2212yes—
186#2596C2212yes—
187#2596C2212yescomplemented
188#2596C2212yescomplemented
189#2596C2212yescomplemented
190#2595C2212yes—
191#2594C2212yes—
192#2594C2212yescomplemented
193#2593C2211yescharacteristic, complemented
194#2593C2211yescharacteristic, complemented
195#2590C2212yescomplemented
196#2589C2212yes—
197#2588C2212yescomplemented
198#2587C2212yes—
199#2585C2212yescomplemented
200#2581C2212yescomplemented
201#2581C2212yescomplemented
202#2580C2212yes—
203#2578C2212yes—
204#2578C2212yes—
205#2577C2212yescomplemented
206#2575C2212yescomplemented
207#2573C2212yes—
208#2573C2212yes—
209#2570C2212yescomplemented
210#2564C2212yes—
211#2562C2211yescharacteristic, complemented
212#2562C2211yescharacteristic, complemented
213#2559C2212yes—
214#2558C2212yes—
215#2558C2212yes—
216#2556C2212yescomplemented
217#2556C2212yescomplemented
218#2556C2212yescomplemented
219#2556C2212yescomplemented
220#2554C2212yes—
221#2554C2212yes—
222#2554C2212yescomplemented
223#2545C2212yes—
224#2544C2212yes—
225#2543C2212yes—
226#2542C2212yescomplemented
227#2540C2212yes—
228#2540C2212yes—
229#2533C2212yescomplemented
230#2532C2212yes—
231#2531C2212yescomplemented
232#2530C2212yes—
233#2530C2212yescomplemented
234#2529C2212yes—
235#2527C2212yescomplemented
236#2526C2212yes—
237#2526C2212yes—
238#2525C2212yes—
239#2525C2212yescomplemented
240#2525C2212yescomplemented
241#2524C2212yescomplemented
242#2523C2212yes—
243#2519C2212yes—
244#2519C2212yes—
245#2518C2212yes—
246#2518C2212yescomplemented
247#2518C2212yescomplemented
248#2516C2212yescomplemented
249#2516C2212yescomplemented
250#2516C2212yescomplemented
251#2513C2212yescomplemented
252#2512C2212yes—
253#2512C2212yescomplemented
254#2507C2212yescomplemented
255#2506C2212yescomplemented
256#2505C2212yes—
257#2490C2212yescomplemented
258#2490C2212yescomplemented
259#2488C2212yescomplemented
260#2488C2212yescomplemented
261#2480C2212yes—
262#2479C2212yes—
263#2479C2212yes—
264#2479C2212yes—
265#2479C2212yes—
266#2479C2212yescomplemented
267#2478C2212yescomplemented
268#2477C2212yes—
269#2477C2212yes—
270#2477C2212yescomplemented
271#2474C2212yes—
272#2474C2212yes—
273#2474C2212yes—
274#2471C2212yes—
275#2470C2212yes—
276#2467C2212yes—
277#2467C2212yescomplemented
278#2466C2212yes—
279#2466C2212yes—
280#2466C2212yescomplemented
281#2464C2212yes—
282#2464C2212yescomplemented
283#2464C2212yescomplemented
284#2463C2212yes—
285#2463C2212yes—
286#2463C2212yescomplemented
287#2461C2212yes—
288#2461C2212yes—
289#2461C2212yes—
290#2460C2212yes—
291#2459C2212yes—
292#2458C2212yes—
293#2457C2212yes—
294#2456C2212yes—
295#2450C2212yes—
296#2448C2212yes—
297#2448C2212yescomplemented
298#2446C2212yescomplemented
299#2445C2212yes—
300#2444C2212yes—
301#2444C2212yes—
302#2438C2212yescomplemented
303#2438C2212yescomplemented
304#2438C2212yescomplemented
305#2432C2212yes—
306#2431C2212yes—
307#2429C2212yescomplemented
308#2427C2212yes—
309#2424C2212yes—
310#2423C2212yes—
311#2423C2212yescomplemented
312#2422C2212yes—
313#2421C2212yes—
314#2420C2212yes—
315#2419C2212yes—
316#2419C2212yes—
317#2419C2212yescomplemented
318#2418C2212yes—
319#2418C2212yes—
320#2415C2212yescomplemented
321#2414C2212yes—
322#2411C2212yes—
323#2411C2212yes—
324#2402C2212yescomplemented
325#2395C2212yes—
326#2395C2212yes—
327#2392C2212yescomplemented
328#2379C2212yescomplemented
329#2377C2212yescomplemented
330#2376C2212yescomplemented
331#2375C2212yes—
332#2374C2212yes—
333#2373C2212yes—
334#2373C2212yescomplemented
335#2373C2212yescomplemented
336#2372C2212yes—
337#2371C2212yescomplemented
338#2369C2212yescomplemented
339#2369C2212yescomplemented
340#2367C2212yes—
341#2367C2212yes—
342#2366C2212yes—
343#2364C2212yes—
344#2363C2212yes—
345#2363C2212yes—
346#2363C2212yescomplemented
347#2362C2212yescomplemented
348#2362C2212yescomplemented
349#2359C2212yes—
350#2359C2212yes—
351#2357C2212yes—
352#2357C2212yescomplemented
353#2356C2212yescomplemented
354#2353C2212yes—
355#2336C2211yescharacteristic, complemented
356#2336C2211yescharacteristic, complemented
357#2336C2212yescomplemented
358#2335C2212yescomplemented
359#2332C2212yes—
360#2332C2212yescomplemented
361#2325C2212yescomplemented
362#2324C2212yes—
363#2323C2212yescomplemented
364#2319C2211yescharacteristic, complemented
365#2314C2212yes—
366C4×C22⋊Q8C2212yescomplemented
367C4×#123C2212yes—
368C4×#123C2212yes—
369C4×#120C2212yes—
370#2297C2211yescharacteristic
371#2296C2212yes—
372#2296C2211yescharacteristic
373#2290C2212yes—
374#2290C2212yescomplemented
375#2285C2211yescharacteristic
376#2280C2211yescharacteristic
377#2275C2211yescharacteristic, complemented
378C2×C4×C22⋊C4C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C24×C4C2311yescharacteristic
381#556—48no—
382#542—48no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×#127C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#125C2311yescharacteristic
396C2×#125C2311yescharacteristic
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406#525—44no—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
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×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#120C2312yes—
437C2×#120C2312yes—
438C2×#120C2312yes—
439C4×#41—44no—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
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×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2311yescharacteristic
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2311yescharacteristic
467C2×#117C2311yescharacteristic
468C22×C22⋊C4C2312yes—
469C22×C42C2312yes—
470C22×C42C2311yescharacteristic
471C22×C42C2311yescharacteristic
472#401C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2311yescharacteristic
480#400C2311yescharacteristic
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2311yescharacteristic
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2311yescharacteristic
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#399C2311yescharacteristic
502#399C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2311yescharacteristic
508#399C2311yescharacteristic
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2311yescharacteristic
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2311yescharacteristic
532#398C2311yescharacteristic
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#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2311yescharacteristic
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2311yescharacteristic
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
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#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2311yescharacteristic
620#394C2311yescharacteristic
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#392C2312yes—
661#392C2312yes—
662#392C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#392C2311yescharacteristic
670#392C2311yescharacteristic
671#392C2312yes—
672#392C2312yes—
673#392C2312yes—
674#392C2312yes—
675#392C2312yes—
676#392C2312yes—
677#392C2312yes—
678#392C2312yes—
679#392C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2311yescharacteristic
693#391C2312yes—
694#391C2312yes—
695#391C2311yescharacteristic
696#390C2311yescharacteristic
697#390C2312yes—
698#390C2312yes—
699#390C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#390C2312yes—
704#390C2312yes—
705#390C2311yescharacteristic
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
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#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
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#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#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#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#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#384C2312yes—
997#384C2312yes—
998#383C2311yescharacteristic
999#383C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2311yescharacteristic
1003#383C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#381C2312yes—
1012#381C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2311yescharacteristic
1016#381C2311yescharacteristic
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#379C2312yes—
1038#379C2311yescharacteristic
1039#379C2311yescharacteristic
1040#379C2312yes—
1041C4×C4⋊C4C2311yescharacteristic
1042C4×C4⋊C4C2311yescharacteristic
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊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⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094#376C2311yescharacteristic
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098#376C2311yescharacteristic
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C25C2411yescharacteristic
1103C2×#41—24no—
1104C2×#41—42no—
1105C2×#41—42no—
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2411yescharacteristic
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2411yescharacteristic
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2411yescharacteristic
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C23×C4—42no—
1129C23×C4—42no—
1130C23×C4—42no—
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2411yescharacteristic
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C4⋊Q8—28no—
1147C4⋊Q8—44no—
1148#127—44no—
1149#126—44no—
1150#126—44no—
1151#126—44no—
1152#126—44no—
1153#126—44no—
1154#126—44no—
1155#126—44no—
1156#126—44no—
1157#126—44no—
1158#125—42no—
1159#125—42no—
1160#125—44no—
1161#125—44no—
1162#124—28no—
1163#124—44no—
1164#124—44no—
1165#124—44no—
1166#124—44no—
1167#124—44no—
1168#124—44no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179C22⋊Q8—28no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184C22⋊Q8—44no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189#121—44no—
1190#121—44no—
1191#121—44no—
1192#121—44no—
1193#121—44no—
1194#121—44no—
1195#121—44no—
1196#121—44no—
1197#121—44no—
1198#120—44no—
1199#120—44no—
1200#120—44no—
1201C4×Q8—28no—
1202C4×Q8—44no—
1203C4×Q8—44no—
1204C4×Q8—44no—
1205C4×D4—42no—
1206C4×D4—42no—
1207C4×D4—44no—
1208C4×D4—44no—
1209C4×D4—44no—
1210C4×D4—44no—
1211C4×D4—44no—
1212C4×D4—44no—
1213C4×D4—44no—
1214C4×D4—44no—
1215C4×D4—44no—
1216C4×D4—44no—
1217C4×D4—44no—
1218C4×D4—44no—
1219C4×D4—44no—
1220#117—42no—
1221#117—44no—
1222#117—44no—
1223#117—44no—
1224#117—44no—
1225#117—44no—
1226#117—44no—
1227#117—42no—
1228#117—42no—
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⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1254C2×C4⋊C4C2411yescharacteristic
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2411yescharacteristic
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—44no—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1330C2×C22⋊C4C2411yescharacteristic
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2411yescharacteristic
1338C2×C22⋊C4C2411yescharacteristic
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C42—42no—
1401C2×C42—44no—
1402C2×C42—42no—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2411yescharacteristic
1407C2×C42C2411yescharacteristic
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2411yescharacteristic
1413C2×C42C2412yes—
1414C2×C42C2411yescharacteristic
1415C2×C42C2411yescharacteristic
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×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2411yescharacteristic
1436C2×C42C2411yescharacteristic
1437C2×C42C2411yescharacteristic
1438#95C2411yescharacteristic
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#95C2411yescharacteristic
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2411yescharacteristic
1459#95C2412yes—
1460#95C2412yes—
1461#95C2411yescharacteristic
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#95C2411yescharacteristic
1532#95C2411yescharacteristic
1533#95C2411yescharacteristic
1534#95C2411yescharacteristic
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538C24—22no—
1539C24—42no—
1540C24—41no—
1541C24—41no—
1542C24—42no—
1543C24C2512yes—
1544C24C2512yes—
1545C24C2512yes—
1546C24C2512yes—
1547C24C2511yescharacteristic
1548#41—416no—
1549C2×Q8—24no—
1550C2×Q8—24no—
1551C2×Q8—24no—
1552C2×Q8—41no—
1553C2×Q8—41no—
1554C2×Q8—42no—
1555C2×Q8—42no—
1556C2×Q8—42no—
1557C2×Q8—42no—
1558C2×Q8—42no—
1559C2×Q8—42no—
1560C2×Q8H(5,𝔽2)14yes—
1561C2×D4—24no—
1562C2×D4—24no—
1563C2×D4—24no—
1564C2×D4—24no—
1565C2×D4—22no—
1566C2×D4—24no—
1567C2×D4—24no—
1568C2×D4—24no—
1569C2×D4—42no—
1570C2×D4—41no—
1571C2×D4—41no—
1572C2×D4—41no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—42no—
1578C2×D4—41no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C22×C4—22no—
1614C22×C4—22no—
1615C22×C4—22no—
1616C22×C4—24no—
1617C22×C4—22no—
1618C22×C4—24no—
1619C22×C4—24no—
1620C22×C4—24no—
1621C22×C4—24no—
1622C22×C4—24no—
1623C22×C4—24no—
1624C22×C4—24no—
1625C22×C4—24no—
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—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—41no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—41no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—88no—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2511yescharacteristic
1665C22×C4C2511yescharacteristic
1666C22×C4C2512yes—
1667C22×C4C2511yescharacteristic
1668C22×C4C2511yescharacteristic
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2511yescharacteristic
1686C22×C4C2512yes—
1687C22×C4C2511yescharacteristic
1688C22×C4C2512yes—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
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—41no—
1721C4⋊C4—41no—
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—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—41no—
1749C4⋊C4—41no—
1750C4⋊C4—41no—
1751C4⋊C4—41no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
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—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—41no—
1790C22⋊C4—41no—
1791C22⋊C4—41no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—41no—
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—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C42—24no—
1860C42—24no—
1861C42—24no—
1862C42—24no—
1863C42—24no—
1864C42—22no—
1865C42—22no—
1866C42—24no—
1867C42—24no—
1868C42—41no—
1869C42—41no—
1870C42—42no—
1871C42—41no—
1872C42—41no—
1873C42—42no—
1874C42—42no—
1875C42—42no—
1876C42—42no—
1877C42—41no—
1878C42—41no—
1879C42—42no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C23—21no—
1895C23—22no—
1896C23—22no—
1897C23—21no—
1898C23—22no—
1899C23—22no—
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
1926C23—44no—
1927C23—82no—
1928C23—84no—
1929C23—82no—
1930C23—84no—
1931C23#58512yes—
1932C23C2611yescharacteristic
1933Q8—44no—
1934Q8—84no—
1935Q8—84no—
1936Q8—84no—
1937D4—48no—
1938D4—44no—
1939D4—44no—
1940D4—84no—
1941D4—84no—
1942D4—84no—
1943D4—84no—
1944D4—84no—
1945D4—82no—
1946D4—84no—
1947D4—84no—
1948D4—84no—
1949D4—84no—
1950D4—162no—
1951D4—162no—
1952D4—162no—
1953D4—162no—
1954D4—162no—
1955C2×C4—28no—
1956C2×C4—22no—
1957C2×C4—21no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—21no—
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—21no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—21no—
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—22no—
2001C2×C4—22no—
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—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—48no—
2038C2×C4—48no—
2039C2×C4—84no—
2040C2×C4—84no—
2041C2×C4—84no—
2042C2×C4—84no—
2043C2×C4—84no—
2044C2×C4—82no—
2045C2×C4—84no—
2046C2×C4—84no—
2047C2×C4—84no—
2048C2×C4—162no—
2049C2×C4—162no—
2050C2×C4—162no—
2051C2×C4C2×H(5,𝔽2)14yes—
2052C2×C4C2×H(5,𝔽2)12yes—
2053C2×C4#58512yes—
2054C2×C4#58514yes—
2055C2×C4#58514yes—
2056C22—24no—
2057C22—22no—
2058C22—41no—
2059C22—42no—
2060C22—41no—
2061C22—42no—
2062C22—42no—
2063C22—42no—
2064C22—42no—
2065C22—42no—
2066C22—42no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—42no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—42no—
2088C22—42no—
2089C22—88no—
2090C22C22×H(5,𝔽2)11yescharacteristic
2091C22C2×#58512yes—
2092C22C2×#58511yescharacteristic
2093C22C2×#58512yes—
2094C22C2×#58511yescharacteristic
2095C4—24no—
2096C4—24no—
2097C4—22no—
2098C4—22no—
2099C4—24no—
2100C4—42no—
2101C4—41no—
2102C4—41no—
2103C4—42no—
2104C4—42no—
2105C4—42no—
2106C4—42no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C4—42no—
2111C4—42no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—42no—
2120C4—42no—
2121C4—41no—
2122C4—41no—
2123C4—42no—
2124C4—42no—
2125C2—42no—
2126C2—82no—
2127C2—82no—
2128C2—82no—
2129C2—82no—
2130C2#6276211yescharacteristic
2131C2#6282011yescharacteristic
2132C2#6284111yescharacteristic
2133C2#6301912yes—
2134C2#6302712yes—
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. #60047C2semidirect
2. #59722C2semidirect
3. #59357C2semidirect
4. #58747C2semidirect
5. #57007C2semidirect
6. #56369C2semidirect
7. #55169C2semidirect
8. #51414C2semidirect
9. #50320C2semidirect
10. #50108C2semidirect
11. #49904C2semidirect
12. #49646C2semidirect
13. #49459C2semidirect
14. #48307C2semidirect
15. #48206C2semidirect
16. #46318C2semidirect
17. #45866C2semidirect
18. #45461C2semidirect
19. #45101C2semidirect
20. #44501C2semidirect
21. #44362C2semidirect
22. #44032C2semidirect
23. #43758C2semidirect
24. #43341C2semidirect
25. #40827C2semidirect
26. #40419C2semidirect
27. #40313C2semidirect
28. #37980C2semidirect
29. #37803C2semidirect
30. #36831C2semidirect
31. #36331C2semidirect
32. #36229C2semidirect
33. #35811C2semidirect
34. #35442C2semidirect
35. #34742C2semidirect
36. C2×#556C22semidirect
42. #2852C22semidirect
43. #2850C22semidirect
48. #2828C22semidirect
49. #2828C22semidirect
53. #2809C22semidirect
54. #2809C22semidirect
60. #2800C22semidirect
62. #2798C22semidirect
65. #2790C22semidirect
67. #2783C22semidirect
69. #2779C22semidirect
70. #2776C22semidirect
71. #2773C22semidirect
72. #2773C22semidirect
75. #2767C22semidirect
76. #2767C22semidirect
77. #2762C22semidirect
79. #2757C22semidirect
83. #2752C22semidirect
84. #2752C22semidirect
85. #2750C22semidirect
86. #2749C22semidirect
89. #2744C22semidirect
92. #2743C22semidirect
93. #2740C22semidirect
94. #2740C22semidirect
96. #2738C22semidirect
98. #2734C22semidirect
100. #2733C22semidirect
105. #2730C22semidirect
107. #2729C22semidirect
109. #2727C22semidirect
110. #2727C22semidirect
111. #2723C22semidirect
112. #2722C22semidirect
113. #2717C22semidirect
126. #2705C22semidirect
131. #2698C22semidirect
132. #2698C22semidirect
137. #2689C22semidirect
138. #2689C22semidirect
144. #2682C22semidirect
155. #2654C22semidirect
156. #2654C22semidirect
159. #2649C22semidirect
172. #2606C22semidirect
173. #2605C22semidirect
175. #2603C22semidirect
176. #2603C22semidirect
183. #2598C22semidirect
187. #2596C22semidirect
188. #2596C22semidirect
189. #2596C22semidirect
192. #2594C22semidirect
193. #2593C22semidirect
194. #2593C22semidirect
195. #2590C22semidirect
197. #2588C22semidirect
199. #2585C22semidirect
200. #2581C22semidirect
201. #2581C22semidirect
205. #2577C22semidirect
206. #2575C22semidirect
209. #2570C22semidirect
211. #2562C22semidirect
212. #2562C22semidirect
216. #2556C22semidirect
217. #2556C22semidirect
218. #2556C22semidirect
219. #2556C22semidirect
222. #2554C22semidirect
226. #2542C22semidirect
229. #2533C22semidirect
231. #2531C22semidirect
233. #2530C22semidirect
235. #2527C22semidirect
239. #2525C22semidirect
240. #2525C22semidirect
241. #2524C22semidirect
246. #2518C22semidirect
247. #2518C22semidirect
248. #2516C22semidirect
249. #2516C22semidirect
250. #2516C22semidirect
251. #2513C22semidirect
253. #2512C22semidirect
254. #2507C22semidirect
255. #2506C22semidirect
257. #2490C22semidirect
258. #2490C22semidirect
259. #2488C22semidirect
260. #2488C22semidirect
266. #2479C22semidirect
267. #2478C22semidirect
270. #2477C22semidirect
277. #2467C22semidirect
280. #2466C22semidirect
282. #2464C22semidirect
283. #2464C22semidirect
286. #2463C22semidirect
297. #2448C22semidirect
298. #2446C22semidirect
302. #2438C22semidirect
303. #2438C22semidirect
304. #2438C22semidirect
307. #2429C22semidirect
311. #2423C22semidirect
317. #2419C22semidirect
320. #2415C22semidirect
324. #2402C22semidirect
327. #2392C22semidirect
328. #2379C22semidirect
329. #2377C22semidirect
330. #2376C22semidirect
334. #2373C22semidirect
335. #2373C22semidirect
337. #2371C22semidirect
338. #2369C22semidirect
339. #2369C22semidirect
346. #2363C22semidirect
347. #2362C22semidirect
348. #2362C22semidirect
352. #2357C22semidirect
353. #2356C22semidirect
355. #2336C22semidirect
356. #2336C22semidirect
357. #2336C22semidirect
358. #2335C22semidirect
360. #2332C22semidirect
361. #2325C22semidirect
363. #2323C22semidirect
364. #2319C22semidirect
366. C4×C22⋊Q8C22semidirect
374. #2290C22semidirect
377. #2275C22semidirect

Maximal subgroups

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

subgroupindex
#600472
#597222
#593572
#587472
#570072
#563692
#551692
#514142
#503202
#501082
#499042
#496462
#494592
#483072
#482062
#463182
#458662
#454612
#451012
#445012
#443622
#440322
#437582
#433412
#408272
#404192
#403132
#379802
#378032
#368312
#363312
#362292
#358112
#354422
#347422