Finite Group Databasebeta

← #8436833

Subgroups — #8436833

Order 512.

4391 conjugacy classes of subgroups.

The subgroup lattice has 2109 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60040C211yesmaximal, characteristic, complemented
2#59727C212yesmaximal, complemented
3#58820C211yesmaximal, characteristic, complemented
4#57509C211yesmaximal, characteristic, complemented
5#57025C212yesmaximal, complemented
6#56130C212yesmaximal, complemented
7#56128C212yesmaximal, complemented
8#55012C212yesmaximal, complemented
9#54992C212yesmaximal, complemented
10#52824C212yesmaximal, complemented
11#52524C212yesmaximal, complemented
12#48786C212yesmaximal, complemented
13#48782C211yesmaximal, characteristic, complemented
14#48778C211yesmaximal, characteristic, complemented
15#45699C212yesmaximal, complemented
16#45699C212yesmaximal, complemented
17#44095C212yesmaximal, complemented
18#43740C212yesmaximal, complemented
19#41805C212yesmaximal, complemented
20#41721C212yesmaximal, complemented
21#41540C212yesmaximal, complemented
22#40712C212yesmaximal, complemented
23#39898C212yesmaximal, complemented
24#39453C212yesmaximal, complemented
25#39422C212yesmaximal, complemented
26#39305C212yesmaximal, complemented
27#38798C212yesmaximal, complemented
28#38402C212yesmaximal, complemented
29#37605C211yesmaximal, characteristic, complemented
30#37238C212yesmaximal, complemented
31#36982C212yesmaximal, complemented
32#36534C211yesmaximal, characteristic, complemented
33#36322C212yesmaximal, complemented
34#35133C212yesmaximal, complemented
35#34898C212yesmaximal, complemented
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic, complemented
38C2×#543C2211yescharacteristic
39C2×#539C2212yes—
40C2×#539C2211yescharacteristic, complemented
41#2862C2211yescharacteristic, complemented
42#2861C2212yes—
43#2854C2212yescomplemented
44#2853C2212yes—
45#2853C2212yes—
46#2852C2212yes—
47#2852C2212yescomplemented
48#2850C2212yes—
49#2843C2211yescharacteristic, complemented
50#2841C2211yescharacteristic
51#2839C2212yescomplemented
52#2839C2212yescomplemented
53#2839C2212yescomplemented
54#2837C2212yes—
55#2837C2212yescomplemented
56#2836C2212yescomplemented
57#2836C2212yescomplemented
58#2835C2211yescharacteristic, complemented
59#2831C2212yes—
60#2831C2212yescomplemented
61#2827C2212yes—
62#2826C2212yes—
63#2824C2212yescomplemented
64#2823C2211yescharacteristic, complemented
65#2818C2212yes—
66#2816C2212yes—
67#2809C2212yescomplemented
68#2795C2212yes—
69#2795C2212yescomplemented
70#2790C2212yes—
71#2790C2212yes—
72#2790C2212yescomplemented
73#2781C2212yes—
74#2781C2212yes—
75#2781C2212yes—
76#2779C2212yes—
77#2776C2212yescomplemented
78#2775C2212yes—
79#2771C2212yes—
80#2770C2212yes—
81#2768C2212yes—
82#2768C2212yescomplemented
83#2767C2212yescomplemented
84#2766C2212yescomplemented
85#2766C2212yescomplemented
86#2765C2212yes—
87#2765C2212yes—
88#2764C2212yes—
89#2763C2211yescharacteristic, complemented
90#2763C2211yescharacteristic, complemented
91#2762C2212yescomplemented
92#2761C2212yescomplemented
93#2760C2211yescharacteristic
94#2758C2212yescomplemented
95#2757C2212yes—
96#2756C2212yes—
97#2756C2212yes—
98#2755C2212yescomplemented
99#2753C2212yes—
100#2753C2212yes—
101#2753C2212yes—
102#2753C2212yescomplemented
103#2751C2212yescomplemented
104#2750C2212yes—
105#2749C2212yes—
106#2749C2212yes—
107#2748C2212yes—
108#2748C2212yes—
109#2747C2212yescomplemented
110#2747C2212yescomplemented
111#2746C2212yes—
112#2746C2212yescomplemented
113#2744C2212yes—
114#2744C2212yescomplemented
115#2743C2212yescomplemented
116#2739C2212yescomplemented
117#2737C2212yescomplemented
118#2732C2212yes—
119#2732C2212yescomplemented
120#2731C2212yescomplemented
121#2730C2212yes—
122#2728C2212yes—
123#2728C2212yes—
124#2726C2212yescomplemented
125#2726C2212yescomplemented
126#2725C2212yescomplemented
127#2723C2212yes—
128#2723C2212yescomplemented
129#2721C2212yes—
130#2720C2212yescomplemented
131#2718C2212yescomplemented
132#2716C2212yescomplemented
133#2716C2212yescomplemented
134#2716C2212yescomplemented
135#2713C2212yescomplemented
136#2710C2212yes—
137#2709C2211yescharacteristic
138#2708C2212yes—
139#2708C2212yes—
140#2705C2212yes—
141#2705C2212yes—
142#2702C2212yes—
143#2702C2212yes—
144#2702C2212yes—
145#2702C2212yes—
146#2698C2212yes—
147#2698C2212yescomplemented
148#2696C2212yes—
149#2696C2212yes—
150#2695C2212yescomplemented
151#2695C2212yescomplemented
152#2690C2212yes—
153#2690C2212yes—
154#2688C2212yes—
155#2687C2212yescomplemented
156#2686C2212yes—
157#2682C2212yes—
158#2680C2212yes—
159#2678C2212yes—
160#2677C2212yes—
161#2674C2212yes—
162#2674C2212yes—
163#2672C2212yes—
164#2671C2212yes—
165#2671C2212yes—
166#2670C2211yescharacteristic
167#2669C2211yescharacteristic
168#2666C2212yescomplemented
169#2666C2212yescomplemented
170#2666C2212yescomplemented
171#2665C2212yescomplemented
172#2662C2212yescomplemented
173#2662C2212yescomplemented
174#2661C2212yes—
175#2654C2212yes—
176#2653C2212yescomplemented
177#2651C2212yes—
178#2648C2212yes—
179#2648C2212yes—
180#2648C2212yescomplemented
181#2638C2211yescharacteristic
182#2636C2212yes—
183#2635C2212yes—
184#2635C2211yescharacteristic
185#2631C2212yes—
186#2630C2212yes—
187#2630C2212yescomplemented
188#2630C2212yescomplemented
189#2627C2212yes—
190#2625C2211yescharacteristic
191#2624C2211yescharacteristic, complemented
192#2623C2212yescomplemented
193#2617C2212yes—
194#2605C2212yescomplemented
195#2603C2212yes—
196#2600C2212yes—
197#2597C2212yes—
198#2596C2212yescomplemented
199#2596C2212yescomplemented
200#2594C2212yes—
201#2594C2212yescomplemented
202#2593C2212yescomplemented
203#2593C2211yescharacteristic, complemented
204#2589C2212yes—
205#2589C2212yescomplemented
206#2589C2212yescomplemented
207#2587C2212yescomplemented
208#2579C2211yescharacteristic
209#2577C2212yes—
210#2577C2212yes—
211#2577C2212yes—
212#2575C2212yes—
213#2575C2212yescomplemented
214#2575C2212yescomplemented
215#2575C2212yescomplemented
216#2574C2212yescomplemented
217#2572C2212yes—
218#2572C2212yescomplemented
219#2570C2212yescomplemented
220#2569C2212yes—
221#2565C2212yescomplemented
222#2565C2212yescomplemented
223#2563C2211yescharacteristic
224#2562C2212yes—
225#2560C2212yes—
226#2560C2212yes—
227#2560C2212yes—
228#2560C2212yes—
229#2560C2212yescomplemented
230#2560C2212yescomplemented
231#2558C2212yes—
232#2558C2212yes—
233#2558C2212yes—
234#2558C2212yescomplemented
235#2555C2211yescharacteristic, complemented
236#2554C2212yes—
237#2554C2212yes—
238#2553C2212yes—
239#2553C2212yescomplemented
240#2547C2211yescharacteristic, complemented
241#2544C2212yes—
242#2536C2212yes—
243#2536C2212yes—
244#2536C2212yescomplemented
245#2534C2211yescharacteristic
246#2532C2212yescomplemented
247#2531C2212yes—
248#2527C2212yescomplemented
249#2526C2212yes—
250#2525C2212yes—
251#2525C2212yes—
252#2525C2212yescomplemented
253#2524C2212yescomplemented
254#2524C2212yescomplemented
255#2524C2212yescomplemented
256#2524C2212yescomplemented
257#2523C2211yescharacteristic, complemented
258#2522C2212yes—
259#2521C2212yescomplemented
260#2519C2212yescomplemented
261#2519C2212yescomplemented
262#2519C2212yescomplemented
263#2519C2212yescomplemented
264#2516C2212yes—
265#2516C2212yescomplemented
266#2515C2212yescomplemented
267#2513C2212yes—
268#2510C2212yes—
269#2496C2212yescomplemented
270#2495C2212yes—
271#2489C2212yes—
272#2489C2212yes—
273#2488C2212yes—
274#2488C2212yes—
275#2486C2212yes—
276#2484C2211yescharacteristic, complemented
277#2482C2211yescharacteristic
278#2480C2212yes—
279#2479C2212yes—
280#2477C2212yes—
281#2476C2212yes—
282#2476C2212yes—
283#2474C2212yes—
284#2473C2212yes—
285#2473C2212yes—
286#2473C2212yescomplemented
287#2473C2212yescomplemented
288#2472C2212yes—
289#2470C2212yes—
290#2468C2212yes—
291#2468C2212yes—
292#2468C2212yes—
293#2468C2212yes—
294#2468C2212yescomplemented
295#2468C2212yescomplemented
296#2467C2212yes—
297#2467C2212yescomplemented
298#2466C2212yescomplemented
299#2465C2212yes—
300#2464C2212yes—
301#2464C2212yes—
302#2464C2212yes—
303#2464C2212yescomplemented
304#2461C2212yes—
305#2461C2212yes—
306#2460C2212yes—
307#2459C2212yes—
308#2458C2212yescomplemented
309#2457C2212yes—
310#2457C2212yes—
311#2457C2212yes—
312#2457C2212yescomplemented
313#2455C2212yes—
314#2453C2212yescomplemented
315#2450C2212yes—
316#2450C2212yes—
317#2450C2212yes—
318#2444C2212yes—
319#2443C2212yes—
320#2438C2212yes—
321#2437C2211yescharacteristic
322#2429C2212yes—
323#2427C2212yes—
324#2424C2212yes—
325#2423C2212yescomplemented
326#2421C2212yes—
327#2418C2212yes—
328#2418C2212yes—
329#2417C2212yes—
330#2412C2212yes—
331#2412C2212yes—
332#2411C2212yes—
333#2402C2212yescomplemented
334#2402C2212yescomplemented
335#2395C2212yes—
336#2395C2212yes—
337#2378C2211yescharacteristic
338#2378C2211yescharacteristic, complemented
339#2378C2212yescomplemented
340#2374C2212yes—
341#2374C2211yescharacteristic
342#2373C2212yescomplemented
343#2369C2212yescomplemented
344#2368C2212yes—
345#2361C2212yes—
346#2361C2212yes—
347#2359C2212yes—
348#2358C2212yes—
349#2358C2212yes—
350#2358C2211yescharacteristic
351#2357C2212yes—
352#2353C2212yes—
353#2352C2212yes—
354#2352C2212yescomplemented
355#2342C2212yes—
356#2337C2212yes—
357#2337C2212yescomplemented
358#2335C2212yes—
359#2335C2212yes—
360#2334C2212yescomplemented
361#2333C2212yes—
362#2333C2212yescomplemented
363#2332C2212yes—
364C4×#127C2211yescharacteristic
365C4×#125C2212yescomplemented
366C4×#126C2212yescomplemented
367C4×#126C2212yescomplemented
368C4×#124C2212yescomplemented
369C4×C22⋊Q8C2212yes—
370C4×C22⋊Q8C2212yescomplemented
371C4×#121C2212yes—
372#2298C2212yes—
373#2298C2212yes—
374C2×#388C2212yes—
375#2285C2212yes—
376#2283C2212yescomplemented
377C42×Q8C2211yescharacteristic, complemented
378C42×D4C2212yes—
379#556—44no—
380#554—44no—
381#543—44no—
382#539—48no—
383#539—44no—
384C2×C4⋊Q8C2311yescharacteristic
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387C2×#127C2311yescharacteristic
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2311yescharacteristic
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2312yes—
438C2×#120C2312yes—
439C2×#120C2312yes—
440C2×#120C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
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×#117C2312yes—
458C2×#117C2311yescharacteristic
459C2×#117C2311yescharacteristic
460C2×#117C2312yes—
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2312yes—
464C22×C22⋊C4C2312yes—
465C22×C22⋊C4C2312yes—
466C22×C22⋊C4C2311yescharacteristic
467C22×C22⋊C4C2312yes—
468C22×C42C2312yes—
469C22×C42C2312yes—
470#401C2312yes—
471#401C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2311yescharacteristic
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2311yescharacteristic
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2311yescharacteristic
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#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#397C2311yescharacteristic
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2311yescharacteristic
628#395C2312yes—
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#394C2311yescharacteristic
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#393C2311yescharacteristic
671#393C2311yescharacteristic
672#393C2312yes—
673#393C2312yes—
674#393C2311yescharacteristic
675#393C2311yescharacteristic
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2311yescharacteristic
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#392C2312yes—
690#392C2312yes—
691#392C2312yes—
692#392C2312yes—
693#392C2312yes—
694#392C2312yes—
695#392C2311yescharacteristic
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2311yescharacteristic
719#390C2311yescharacteristic
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
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#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#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#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#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#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2311yescharacteristic
921#386C2311yescharacteristic
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#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#385C2311yescharacteristic
963#385C2311yescharacteristic
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#384C2311yescharacteristic
989#384C2312yes—
990#384C2312yes—
991#383C2312yes—
992#383C2312yes—
993#383C2312yes—
994#383C2312yes—
995#383C2312yes—
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#382C2312yes—
1000#382C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#381C2312yes—
1011#381C2312yes—
1012#381C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2311yescharacteristic
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2311yescharacteristic
1022#381C2311yescharacteristic
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#380C2311yescharacteristic
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2311yescharacteristic
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#379C2312yes—
1046#379C2311yescharacteristic
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⋊C4C2311yescharacteristic
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊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—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C43C2311yescharacteristic
1102C43C2312yes—
1103C25C2411yescharacteristic
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2411yescharacteristic
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2411yescharacteristic
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2411yescharacteristic
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2411yescharacteristic
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2411yescharacteristic
1140C23×C4C2412yes—
1141C4⋊Q8—42no—
1142C4⋊Q8—42no—
1143C4⋊Q8—44no—
1144#127—42no—
1145#126—44no—
1146#126—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#126—44no—
1152#126—44no—
1153#126—44no—
1154#125—44no—
1155#125—44no—
1156#125—44no—
1157#125—44no—
1158#125—44no—
1159#124—44no—
1160#124—44no—
1161#124—44no—
1162#124—44no—
1163#123—44no—
1164#123—44no—
1165#123—44no—
1166#123—44no—
1167#123—44no—
1168#123—44no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173#123—42no—
1174C22⋊Q8—28no—
1175C22⋊Q8—28no—
1176C22⋊Q8—28no—
1177C22⋊Q8—24no—
1178C22⋊Q8—24no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184C22⋊Q8—44no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—42no—
1188#121—44no—
1189#121—44no—
1190#121—42no—
1191#121—44no—
1192#121—44no—
1193#121—44no—
1194#121—44no—
1195#120—42no—
1196#120—44no—
1197#120—44no—
1198C4×Q8—24no—
1199C4×Q8—44no—
1200C4×Q8—44no—
1201C4×D4—44no—
1202C4×D4—44no—
1203C4×D4—44no—
1204C4×D4—44no—
1205C4×D4—44no—
1206C4×D4—44no—
1207C4×D4—42no—
1208C4×D4—42no—
1209C4×D4—44no—
1210C4×D4—44no—
1211C4×D4—44no—
1212C4×D4—44no—
1213C4×D4—44no—
1214#117—44no—
1215#117—44no—
1216#117—42no—
1217#117—42no—
1218C2×C4⋊C4—42no—
1219C2×C4⋊C4—44no—
1220C2×C4⋊C4—44no—
1221C2×C4⋊C4C2411yescharacteristic
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2411yescharacteristic
1227C2×C4⋊C4C2411yescharacteristic
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊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⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
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⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C22⋊C4—44no—
1303C2×C22⋊C4—42no—
1304C2×C22⋊C4—44no—
1305C2×C22⋊C4—44no—
1306C2×C22⋊C4C2412yes—
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⋊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⋊C4C2411yescharacteristic
1343C2×C22⋊C4C2411yescharacteristic
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1388C2×C22⋊C4C2411yescharacteristic
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C42—44no—
1393C2×C42—44no—
1394C2×C42C2411yescharacteristic
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2411yescharacteristic
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2411yescharacteristic
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#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#95C2411yescharacteristic
1475#95C2412yes—
1476#95C2412yes—
1477#95C2411yescharacteristic
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#95C2411yescharacteristic
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2411yescharacteristic
1517#95C2411yescharacteristic
1518#95C2412yes—
1519#95C2411yescharacteristic
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532C24—24no—
1533C24—41no—
1534C24—42no—
1535C24—41no—
1536C24—41no—
1537C24C2511yescharacteristic
1538C24C2512yes—
1539C24C2512yes—
1540C24C2511yescharacteristic
1541C24C2512yes—
1542C2×Q8—24no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—41no—
1547C2×Q8—42no—
1548C2×Q8—41no—
1549C2×Q8—41no—
1550C2×Q8—42no—
1551C2×Q8—42no—
1552C2×Q8—42no—
1553C2×Q8—42no—
1554C2×Q8—42no—
1555C2×Q8H(5,𝔽2)14yes—
1556C2×D4—24no—
1557C2×D4—24no—
1558C2×D4—24no—
1559C2×D4—24no—
1560C2×D4—24no—
1561C2×D4—22no—
1562C2×D4—22no—
1563C2×D4—41no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—41no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—41no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—42no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—41no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—41no—
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—
1597C22×C4—24no—
1598C22×C4—24no—
1599C22×C4—24no—
1600C22×C4—24no—
1601C22×C4—22no—
1602C22×C4—22no—
1603C22×C4—24no—
1604C22×C4—24no—
1605C22×C4—24no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—41no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—41no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—41no—
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—41no—
1642C22×C4—42no—
1643C22×C4—41no—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2511yescharacteristic
1665C22×C4C2511yescharacteristic
1666C22×C4C2511yescharacteristic
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2511yescharacteristic
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2511yescharacteristic
1674C4⋊C4—22no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—22no—
1680C4⋊C4—22no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—41no—
1712C4⋊C4—41no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—41no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—41no—
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—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—41no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—41no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—41no—
1802C22⋊C4—41no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—41no—
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—41no—
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—
1841C42—22no—
1842C42—24no—
1843C42—24no—
1844C42—24no—
1845C42—24no—
1846C42—24no—
1847C42—24no—
1848C42—24no—
1849C42—22no—
1850C42—42no—
1851C42—42no—
1852C42—42no—
1853C42—42no—
1854C42—41no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
1861C42—42no—
1862C42—42no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C42—42no—
1867C42—42no—
1868C42—42no—
1869C42—42no—
1870C42—42no—
1871C23—22no—
1872C23—22no—
1873C23—22no—
1874C23—22no—
1875C23—22no—
1876C23—22no—
1877C23—21no—
1878C23—22no—
1879C23—21no—
1880C23—22no—
1881C23—22no—
1882C23—22no—
1883C23—22no—
1884C23—22no—
1885C23—22no—
1886C23—22no—
1887C23—22no—
1888C23—22no—
1889C23—22no—
1890C23—22no—
1891C23—22no—
1892C23—22no—
1893C23—21no—
1894C23—21no—
1895C23—22no—
1896C23—22no—
1897C23—21no—
1898C23—22no—
1899C23—22no—
1900C23—21no—
1901C23—44no—
1902C23—84no—
1903C23—84no—
1904C23—161no—
1905C23—161no—
1906C23#58514yes—
1907C23C2611yescharacteristic
1908Q8—44no—
1909Q8—84no—
1910Q8—161no—
1911Q8—161no—
1912Q8—161no—
1913Q8—162no—
1914D4—44no—
1915D4—48no—
1916D4—82no—
1917D4—84no—
1918D4—84no—
1919D4—84no—
1920D4—84no—
1921D4—84no—
1922D4—84no—
1923D4—84no—
1924D4—161no—
1925D4—162no—
1926D4—162no—
1927D4—162no—
1928C2×C4—21no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—21no—
1935C2×C4—22no—
1936C2×C4—21no—
1937C2×C4—22no—
1938C2×C4—21no—
1939C2×C4—22no—
1940C2×C4—21no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—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—48no—
2011C2×C4—84no—
2012C2×C4—82no—
2013C2×C4—82no—
2014C2×C4—84no—
2015C2×C4—84no—
2016C2×C4—84no—
2017C2×C4—84no—
2018C2×C4—84no—
2019C2×C4—84no—
2020C2×C4—82no—
2021C2×C4—162no—
2022C2×C4—162no—
2023C2×C4—162no—
2024C2×C4—161no—
2025C2×C4—162no—
2026C2×C4—161no—
2027C2×C4C2×H(5,𝔽2)14yes—
2028C2×C4C2×H(5,𝔽2)12yes—
2029C2×C4#58514yes—
2030C2×C4#58512yes—
2031C22—24no—
2032C22—24no—
2033C22—24no—
2034C22—42no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—42no—
2044C22—41no—
2045C22—42no—
2046C22—42no—
2047C22—41no—
2048C22—41no—
2049C22—42no—
2050C22—42no—
2051C22—41no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22—42no—
2058C22—41no—
2059C22—42no—
2060C22—41no—
2061C22—42no—
2062C22—164no—
2063C22C22×H(5,𝔽2)11yescharacteristic
2064C22C2×#58511yescharacteristic
2065C22C2×#58512yes—
2066C22C2×#58512yes—
2067C222−1+611yescharacteristic
2068C4—22no—
2069C4—24no—
2070C4—24no—
2071C4—22no—
2072C4—42no—
2073C4—42no—
2074C4—42no—
2075C4—42no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C4—41no—
2085C4—42no—
2086C4—42no—
2087C4—41no—
2088C4—42no—
2089C4—41no—
2090C4—42no—
2091C4—42no—
2092C4—42no—
2093C4—42no—
2094C4—42no—
2095C4—42no—
2096C4—42no—
2097C4—42no—
2098C2—44no—
2099C2—82no—
2100C2—81no—
2101C2—82no—
2102C2—81no—
2103C2#6274312yes—
2104C2#6282211yescharacteristic
2105C2#6290912yes—
2106C2#6291911yescharacteristic
2107C2#6302011yescharacteristic
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. #60040C2semidirect
2. #59727C2semidirect
3. #58820C2semidirect
4. #57509C2semidirect
5. #57025C2semidirect
6. #56130C2semidirect
7. #56128C2semidirect
8. #55012C2semidirect
9. #54992C2semidirect
10. #52824C2semidirect
11. #52524C2semidirect
12. #48786C2semidirect
13. #48782C2semidirect
14. #48778C2semidirect
15. #45699C2semidirect
16. #45699C2semidirect
17. #44095C2semidirect
18. #43740C2semidirect
19. #41805C2semidirect
20. #41721C2semidirect
21. #41540C2semidirect
22. #40712C2semidirect
23. #39898C2semidirect
24. #39453C2semidirect
25. #39422C2semidirect
26. #39305C2semidirect
27. #38798C2semidirect
28. #38402C2semidirect
29. #37605C2semidirect
30. #37238C2semidirect
31. #36982C2semidirect
32. #36534C2semidirect
33. #36322C2semidirect
34. #35133C2semidirect
35. #34898C2semidirect
37. C2×#554C22semidirect
40. C2×#539C22semidirect
41. #2862C22semidirect
43. #2854C22semidirect
47. #2852C22semidirect
49. #2843C22semidirect
51. #2839C22semidirect
52. #2839C22semidirect
53. #2839C22semidirect
55. #2837C22semidirect
56. #2836C22semidirect
57. #2836C22semidirect
58. #2835C22semidirect
60. #2831C22semidirect
63. #2824C22semidirect
64. #2823C22semidirect
67. #2809C22semidirect
69. #2795C22semidirect
72. #2790C22semidirect
77. #2776C22semidirect
82. #2768C22semidirect
83. #2767C22semidirect
84. #2766C22semidirect
85. #2766C22semidirect
89. #2763C22semidirect
90. #2763C22semidirect
91. #2762C22semidirect
92. #2761C22semidirect
94. #2758C22semidirect
98. #2755C22semidirect
102. #2753C22semidirect
103. #2751C22semidirect
109. #2747C22semidirect
110. #2747C22semidirect
112. #2746C22semidirect
114. #2744C22semidirect
115. #2743C22semidirect
116. #2739C22semidirect
117. #2737C22semidirect
119. #2732C22semidirect
120. #2731C22semidirect
124. #2726C22semidirect
125. #2726C22semidirect
126. #2725C22semidirect
128. #2723C22semidirect
130. #2720C22semidirect
131. #2718C22semidirect
132. #2716C22semidirect
133. #2716C22semidirect
134. #2716C22semidirect
135. #2713C22semidirect
147. #2698C22semidirect
150. #2695C22semidirect
151. #2695C22semidirect
155. #2687C22semidirect
168. #2666C22semidirect
169. #2666C22semidirect
170. #2666C22semidirect
171. #2665C22semidirect
172. #2662C22semidirect
173. #2662C22semidirect
176. #2653C22semidirect
180. #2648C22semidirect
187. #2630C22semidirect
188. #2630C22semidirect
191. #2624C22semidirect
192. #2623C22semidirect
194. #2605C22semidirect
198. #2596C22semidirect
199. #2596C22semidirect
201. #2594C22semidirect
202. #2593C22semidirect
203. #2593C22semidirect
205. #2589C22semidirect
206. #2589C22semidirect
207. #2587C22semidirect
213. #2575C22semidirect
214. #2575C22semidirect
215. #2575C22semidirect
216. #2574C22semidirect
218. #2572C22semidirect
219. #2570C22semidirect
221. #2565C22semidirect
222. #2565C22semidirect
229. #2560C22semidirect
230. #2560C22semidirect
234. #2558C22semidirect
235. #2555C22semidirect
239. #2553C22semidirect
240. #2547C22semidirect
244. #2536C22semidirect
246. #2532C22semidirect
248. #2527C22semidirect
252. #2525C22semidirect
253. #2524C22semidirect
254. #2524C22semidirect
255. #2524C22semidirect
256. #2524C22semidirect
257. #2523C22semidirect
259. #2521C22semidirect
260. #2519C22semidirect
261. #2519C22semidirect
262. #2519C22semidirect
263. #2519C22semidirect
265. #2516C22semidirect
266. #2515C22semidirect
269. #2496C22semidirect
276. #2484C22semidirect
286. #2473C22semidirect
287. #2473C22semidirect
294. #2468C22semidirect
295. #2468C22semidirect
297. #2467C22semidirect
298. #2466C22semidirect
303. #2464C22semidirect
308. #2458C22semidirect
312. #2457C22semidirect
314. #2453C22semidirect
325. #2423C22semidirect
333. #2402C22semidirect
334. #2402C22semidirect
338. #2378C22semidirect
339. #2378C22semidirect
342. #2373C22semidirect
343. #2369C22semidirect
354. #2352C22semidirect
357. #2337C22semidirect
360. #2334C22semidirect
362. #2333C22semidirect
365. C4×#125C22semidirect
366. C4×#126C22semidirect
367. C4×#126C22semidirect
368. C4×#124C22semidirect
370. C4×C22⋊Q8C22semidirect
376. #2283C22semidirect
377. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#600402
#597272
#588202
#575092
#570252
#561302
#561282
#550122
#549922
#528242
#525242
#487862
#487822
#487782
#456992
#440952
#437402
#418052
#417212
#415402
#407122
#398982
#394532
#394222
#393052
#387982
#384022
#376052
#372382
#369822
#365342
#363222
#351332
#348982