Finite Group Databasebeta

← #8359208

Subgroups — #8359208

Order 512.

4358 conjugacy classes of subgroups.

The subgroup lattice has 2107 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59621C211yesmaximal, characteristic, complemented
2#59107C211yesmaximal, characteristic, complemented
3#58610C212yesmaximal, complemented
4#58067C212yesmaximal, complemented
5#57929C212yesmaximal, complemented
6#55674C212yesmaximal, complemented
7#55654C212yesmaximal, complemented
8#55373C212yesmaximal, complemented
9#54669C212yesmaximal, complemented
10#53978C212yesmaximal, complemented
11#52612C212yesmaximal, complemented
12#49871C212yesmaximal, complemented
13#48812C212yesmaximal, complemented
14#48792C212yesmaximal, complemented
15#48323C212yesmaximal, complemented
16#46316C211yesmaximal, characteristic, complemented
17#45442C211yesmaximal, characteristic
18#44220C212yesmaximal, complemented
19#44089C212yesmaximal, complemented
20#43258C212yesmaximal, complemented
21#42037C212yesmaximal, complemented
22#41414C212yesmaximal, complemented
23#41356C212yesmaximal, complemented
24#41326C212yesmaximal, complemented
25#41077C212yesmaximal, complemented
26#40874C212yesmaximal, complemented
27#40714C212yesmaximal, complemented
28#38797C212yesmaximal, complemented
29#38631C212yesmaximal, complemented
30#37976C212yesmaximal, complemented
31#36822C211yesmaximal, characteristic, complemented
32#36341C212yesmaximal, complemented
33#35774C212yesmaximal, complemented
34#35440C211yesmaximal, characteristic, complemented
35#34635C211yesmaximal, characteristic, complemented
36C2×H(3,𝔽4)C2211yescharacteristic
37C2×#551C2212yes—
38C2×#551C2211yescharacteristic, complemented
39C2×#525C2211yescharacteristic
40C22×#117C2211yescharacteristic, complemented
41#2855C2212yescomplemented
42#2853C2212yes—
43#2849C2212yes—
44#2841C2212yescomplemented
45#2838C2212yescomplemented
46#2836C2212yescomplemented
47#2836C2212yescomplemented
48#2833C2212yescomplemented
49#2833C2212yescomplemented
50#2831C2212yescomplemented
51#2831C2212yescomplemented
52#2831C2212yescomplemented
53#2831C2212yescomplemented
54#2830C2212yescomplemented
55#2830C2212yescomplemented
56#2827C2212yescomplemented
57#2826C2212yes—
58#2814C2212yescomplemented
59#2812C2212yes—
60#2811C2211yescharacteristic, complemented
61#2808C2212yescomplemented
62#2802C2212yescomplemented
63#2802C2212yescomplemented
64#2802C2212yescomplemented
65#2799C2212yescomplemented
66#2798C2212yescomplemented
67#2798C2212yescomplemented
68#2798C2212yescomplemented
69#2793C2212yescomplemented
70#2792C2212yescomplemented
71#2792C2212yescomplemented
72#2790C2212yescomplemented
73#2787C2212yescomplemented
74#2786C2212yes—
75#2783C2212yescomplemented
76#2781C2212yescomplemented
77#2777C2212yescomplemented
78#2777C2212yescomplemented
79#2776C2212yescomplemented
80#2775C2212yescomplemented
81#2774C2212yescomplemented
82#2774C2212yescomplemented
83#2773C2212yescomplemented
84#2773C2212yescomplemented
85#2772C2212yescomplemented
86#2771C2212yescomplemented
87#2770C2212yescomplemented
88#2770C2212yescomplemented
89#2767C2212yescomplemented
90#2765C2212yescomplemented
91#2765C2212yescomplemented
92#2764C2212yescomplemented
93#2758C2212yescomplemented
94#2757C2212yes—
95#2757C2212yescomplemented
96#2755C2212yescomplemented
97#2753C2212yes—
98#2752C2212yes—
99#2751C2212yes—
100#2751C2212yescomplemented
101#2750C2212yes—
102#2750C2212yes—
103#2748C2211yescharacteristic, complemented
104#2747C2212yescomplemented
105#2745C2212yescomplemented
106#2745C2212yescomplemented
107#2745C2212yescomplemented
108#2745C2212yescomplemented
109#2744C2212yescomplemented
110#2744C2212yescomplemented
111#2743C2212yes—
112#2742C2212yescomplemented
113#2740C2212yescomplemented
114#2738C2212yescomplemented
115#2738C2212yescomplemented
116#2738C2212yescomplemented
117#2737C2212yes—
118#2737C2212yescomplemented
119#2735C2212yescomplemented
120#2735C2212yescomplemented
121#2734C2211yescharacteristic, complemented
122#2725C2212yescomplemented
123#2724C2211yescharacteristic, complemented
124#2721C2212yescomplemented
125#2718C2212yes—
126#2718C2212yes—
127#2718C2212yescomplemented
128#2717C2211yescharacteristic
129#2717C2212yes—
130#2717C2212yes—
131#2717C2212yes—
132#2717C2211yescharacteristic, complemented
133#2716C2212yescomplemented
134#2715C2212yes—
135#2715C2212yes—
136#2713C2212yescomplemented
137#2713C2212yescomplemented
138#2710C2212yes—
139#2710C2212yes—
140#2707C2212yes—
141#2707C2212yes—
142#2706C2212yes—
143#2704C2212yescomplemented
144#2704C2212yescomplemented
145#2700C2212yes—
146#2700C2212yes—
147#2700C2212yes—
148#2700C2212yescomplemented
149#2698C2212yescomplemented
150#2697C2212yes—
151#2697C2211yescharacteristic
152#2697C2212yes—
153#2697C2211yescharacteristic, complemented
154#2695C2212yes—
155#2695C2212yes—
156#2694C2212yes—
157#2690C2212yescomplemented
158#2690C2212yescomplemented
159#2689C2212yescomplemented
160#2687C2212yes—
161#2686C2212yes—
162#2685C2212yescomplemented
163#2684C2212yes—
164#2678C2212yes—
165#2674C2212yes—
166#2674C2212yes—
167#2674C2212yes—
168#2667C2212yescomplemented
169#2667C2212yescomplemented
170#2666C2212yescomplemented
171#2666C2212yescomplemented
172#2663C2212yes—
173#2654C2212yescomplemented
174#2654C2212yescomplemented
175#2654C2212yescomplemented
176#2654C2212yescomplemented
177#2653C2212yescomplemented
178#2652C2212yescomplemented
179#2651C2212yescomplemented
180#2649C2212yescomplemented
181#2649C2212yescomplemented
182#2638C2212yes—
183#2630C2212yes—
184#2628C2212yescomplemented
185#2626C2212yescomplemented
186#2626C2212yescomplemented
187#2625C2212yescomplemented
188#2625C2212yescomplemented
189#2625C2212yescomplemented
190#2624C2212yes—
191#2624C2212yes—
192#2623C2212yes—
193#2623C2212yescomplemented
194#2622C2212yes—
195#2622C2212yes—
196#2622C2212yescomplemented
197#2609C2212yes—
198#2609C2212yescomplemented
199#2608C2211yescharacteristic, complemented
200#2608C2211yescharacteristic, complemented
201#2602C2212yes—
202#2601C2212yes—
203#2601C2212yescomplemented
204#2599C2212yescomplemented
205#2596C2212yescomplemented
206#2595C2212yescomplemented
207#2594C2212yescomplemented
208#2590C2212yescomplemented
209#2589C2212yescomplemented
210#2588C2212yescomplemented
211#2588C2212yescomplemented
212#2588C2212yescomplemented
213#2587C2212yescomplemented
214#2586C2212yescomplemented
215#2586C2212yescomplemented
216#2585C2212yescomplemented
217#2585C2212yescomplemented
218#2583C2211yescharacteristic, complemented
219#2583C2212yescomplemented
220#2579C2212yes—
221#2578C2212yes—
222#2577C2212yescomplemented
223#2577C2212yescomplemented
224#2576C2212yes—
225#2576C2212yes—
226#2576C2212yescomplemented
227#2575C2212yescomplemented
228#2575C2212yescomplemented
229#2575C2212yescomplemented
230#2574C2212yescomplemented
231#2574C2212yescomplemented
232#2573C2212yescomplemented
233#2573C2212yescomplemented
234#2573C2212yescomplemented
235#2573C2212yescomplemented
236#2572C2212yes—
237#2570C2212yescomplemented
238#2569C2212yescomplemented
239#2564C2212yes—
240#2561C2211yescharacteristic, complemented
241#2560C2212yes—
242#2558C2212yescomplemented
243#2550C2212yescomplemented
244#2547C2212yes—
245#2534C2212yes—
246#2525C2212yescomplemented
247#2525C2212yescomplemented
248#2525C2212yescomplemented
249#2523C2212yescomplemented
250#2523C2212yescomplemented
251#2523C2212yescomplemented
252#2522C2212yescomplemented
253#2521C2212yes—
254#2521C2212yes—
255#2520C2212yescomplemented
256#2518C2212yes—
257#2517C2212yescomplemented
258#2516C2212yes—
259#2515C2212yescomplemented
260#2510C2212yes—
261#2505C2212yescomplemented
262#2499C2212yescomplemented
263#2497C2212yescomplemented
264#2495C2212yescomplemented
265#2494C2212yescomplemented
266#2485C2212yes—
267#2485C2212yescomplemented
268#2485C2212yescomplemented
269#2484C2212yescomplemented
270#2483C2212yescomplemented
271#2481C2212yes—
272#2480C2212yescomplemented
273#2479C2212yes—
274#2478C2212yescomplemented
275#2478C2212yescomplemented
276#2478C2212yescomplemented
277#2478C2212yescomplemented
278#2478C2212yescomplemented
279#2478C2212yescomplemented
280#2478C2212yescomplemented
281#2477C2212yes—
282#2475C2212yescomplemented
283#2475C2212yescomplemented
284#2474C2212yes—
285#2474C2212yes—
286#2474C2212yes—
287#2474C2212yes—
288#2474C2212yes—
289#2474C2212yes—
290#2474C2212yes—
291#2474C2212yes—
292#2473C2212yescomplemented
293#2470C2212yes—
294#2470C2212yes—
295#2470C2212yes—
296#2470C2212yescomplemented
297#2468C2212yes—
298#2466C2212yescomplemented
299#2465C2212yescomplemented
300#2465C2212yescomplemented
301#2463C2212yes—
302#2461C2212yes—
303#2460C2212yescomplemented
304#2459C2212yes—
305#2459C2212yes—
306#2458C2212yes—
307#2457C2212yes—
308#2457C2212yes—
309#2454C2212yescomplemented
310#2449C2212yes—
311#2447C2212yes—
312#2447C2212yes—
313#2447C2212yes—
314#2443C2212yes—
315#2440C2212yescomplemented
316#2438C2212yescomplemented
317#2438C2212yescomplemented
318#2438C2212yescomplemented
319#2432C2211yescharacteristic
320#2432C2211yescharacteristic
321#2425C2212yes—
322#2419C2212yescomplemented
323#2418C2212yes—
324#2418C2212yes—
325#2418C2212yes—
326#2413C2212yes—
327#2413C2212yes—
328#2413C2212yes—
329#2412C2212yes—
330#2412C2212yes—
331#2406C2211yescharacteristic
332#2404C2211yescharacteristic
333#2395C2212yes—
334#2395C2212yes—
335#2395C2212yescomplemented
336#2395C2212yescomplemented
337#2395C2212yescomplemented
338#2392C2212yes—
339#2381C2211yescharacteristic, complemented
340#2381C2211yescharacteristic, complemented
341#2375C2211yescharacteristic
342#2374C2211yescharacteristic, complemented
343#2370C2212yescomplemented
344#2369C2212yescomplemented
345#2360C2212yescomplemented
346#2359C2212yes—
347#2359C2212yes—
348#2359C2212yes—
349#2358C2211yescharacteristic, complemented
350#2358C2211yescharacteristic, complemented
351#2355C2212yescomplemented
352#2352C2212yes—
353#2352C2212yescomplemented
354D4×C4⋊C4C2212yescomplemented
355#2347C2212yescomplemented
356#2344C2212yescomplemented
357#2344C2212yescomplemented
358#2342C2212yescomplemented
359#2342C2212yescomplemented
360#2336C2212yescomplemented
361#2336C2212yescomplemented
362#2334C2212yescomplemented
363#2334C2212yescomplemented
364#2332C2211yescharacteristic, complemented
365#2332C2211yescharacteristic, complemented
366#2323C2212yescomplemented
367#2321C2212yes—
368#2312C2212yescomplemented
369#2312C2211yescharacteristic, complemented
370C4×#123C2212yes—
371#2297C2211yescharacteristic
372#2297C2211yescharacteristic
373#2296C2211yescharacteristic, complemented
374#2296C2211yescharacteristic, complemented
375#2296C2212yescomplemented
376C2×#385C2212yescomplemented
377#2280C2211yescharacteristic, complemented
378#2274C2211yescharacteristic, complemented
379C22×#41C2311yescharacteristic
380C24×C4C2311yescharacteristic
381H(3,𝔽4)—44no—
382#551—48no—
383#551—44no—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2311yescharacteristic
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#124C2312yes—
396C2×#124C2312yes—
397C2×#124C2312yes—
398C2×#124C2312yes—
399C2×#124C2311yescharacteristic
400C2×#124C2311yescharacteristic
401C2×#124C2312yes—
402#525—44no—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2311yescharacteristic
409C2×#123C2311yescharacteristic
410C2×#123C2311yescharacteristic
411C2×#123C2312yes—
412C2×#123C2311yescharacteristic
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×#121C2312yes—
424C2×#120C2312yes—
425C2×#120C2311yescharacteristic
426C2×#120C2311yescharacteristic
427C2×#120C2311yescharacteristic
428C2×#120C2311yescharacteristic
429C2×#120C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×#117—44no—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2311yescharacteristic
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2311yescharacteristic
451C2×#117C2312yes—
452C2×#117C2311yescharacteristic
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C22⋊C4C2312yes—
458C22×C22⋊C4C2312yes—
459C22×C22⋊C4C2311yescharacteristic
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2312yes—
462C22×C42C2311yescharacteristic
463C22×C42C2311yescharacteristic
464#401C2312yes—
465#401C2312yes—
466#401C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
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#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
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#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
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#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#392C2312yes—
694#392C2312yes—
695#392C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2311yescharacteristic
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2311yescharacteristic
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2311yescharacteristic
716#391C2312yes—
717#391C2311yescharacteristic
718#391C2312yes—
719#390C2312yes—
720#390C2311yescharacteristic
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2311yescharacteristic
725#390C2312yes—
726#390C2311yescharacteristic
727#390C2311yescharacteristic
728#390C2312yes—
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#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
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#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2311yescharacteristic
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2311yescharacteristic
947#386C2312yes—
948#386C2312yes—
949#386C2311yescharacteristic
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2311yescharacteristic
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#384C2312yes—
999#384C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2311yescharacteristic
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2311yescharacteristic
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#379C2312yes—
1050#379C2312yes—
1051#379C2312yes—
1052#379C2312yes—
1053#379C2312yes—
1054#379C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2311yescharacteristic
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2311yescharacteristic
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
1097C4×C22⋊C4C2311yescharacteristic
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2311yescharacteristic
1100C4×C22⋊C4C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C25C2411yescharacteristic
1105C2×#41—42no—
1106C2×#41—42no—
1107C2×#41—42no—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2411yescharacteristic
1120C22×D4C2411yescharacteristic
1121C22×D4C2411yescharacteristic
1122C22×D4C2412yes—
1123C23×C4—24no—
1124C23×C4—42no—
1125C23×C4—42no—
1126C23×C4C2411yescharacteristic
1127C23×C4C2411yescharacteristic
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2411yescharacteristic
1137C23×C4C2411yescharacteristic
1138C23×C4C2411yescharacteristic
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2411yescharacteristic
1142C23×C4C2411yescharacteristic
1143C4⋊Q8—44no—
1144C4⋊Q8—42no—
1145C4⋊Q8—42no—
1146#126—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#125—44no—
1152#125—44no—
1153#125—44no—
1154#124—44no—
1155#124—42no—
1156#124—42no—
1157#124—44no—
1158#124—44no—
1159#124—44no—
1160#124—44no—
1161#123—44no—
1162#123—44no—
1163#123—44no—
1164#123—42no—
1165#123—44no—
1166#123—44no—
1167#123—42no—
1168#123—42no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—42no—
1173C22⋊Q8—44no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—42no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—42no—
1181#121—44no—
1182#120—24no—
1183#120—24no—
1184#120—28no—
1185#120—42no—
1186#120—44no—
1187#120—42no—
1188C4×Q8—44no—
1189C4×D4—44no—
1190C4×D4—44no—
1191C4×D4—44no—
1192C4×D4—44no—
1193C4×D4—44no—
1194C4×D4—44no—
1195C4×D4—44no—
1196C4×D4—44no—
1197#117—42no—
1198#117—44no—
1199#117—44no—
1200#117—44no—
1201#117—44no—
1202#117—44no—
1203#117—44no—
1204#117—44no—
1205#117—42no—
1206#117—44no—
1207#117—44no—
1208#117—44no—
1209#117—42no—
1210C2×C4⋊C4—42no—
1211C2×C4⋊C4—44no—
1212C2×C4⋊C4—44no—
1213C2×C4⋊C4—44no—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2411yescharacteristic
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⋊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×C22⋊C4—28no—
1300C2×C22⋊C4—28no—
1301C2×C22⋊C4—42no—
1302C2×C22⋊C4—44no—
1303C2×C22⋊C4—44no—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1321C2×C22⋊C4C2411yescharacteristic
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2411yescharacteristic
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×C42—42no—
1385C2×C42—42no—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2411yescharacteristic
1391C2×C42C2412yes—
1392C2×C42C2411yescharacteristic
1393C2×C42C2411yescharacteristic
1394C2×C42C2411yescharacteristic
1395C2×C42C2412yes—
1396C2×C42C2411yescharacteristic
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2411yescharacteristic
1402C2×C42C2411yescharacteristic
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2411yescharacteristic
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2411yescharacteristic
1416C2×C42C2411yescharacteristic
1417C2×C42C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530C24—42no—
1531C24—41no—
1532C24—41no—
1533C24—42no—
1534C24—42no—
1535C24—41no—
1536C24—41no—
1537C24—42no—
1538C24—41no—
1539C24H(5,𝔽2)14yes—
1540C24C2512yes—
1541C24C2511yescharacteristic
1542C24C2511yescharacteristic
1543C24C2511yescharacteristic
1544C24C2512yes—
1545#41—88no—
1546C2×Q8—22no—
1547C2×Q8—42no—
1548C2×Q8—41no—
1549C2×Q8—42no—
1550C2×Q8—42no—
1551C2×Q8—41no—
1552C2×Q8—42no—
1553C2×Q8—41no—
1554C2×Q8—41no—
1555C2×Q8—41no—
1556C2×Q8—42no—
1557C2×Q8—41no—
1558C2×Q8—42no—
1559C2×Q8—42no—
1560C2×Q8—41no—
1561C2×Q8—41no—
1562C2×Q8—42no—
1563C2×Q8—42no—
1564C2×D4—24no—
1565C2×D4—24no—
1566C2×D4—24no—
1567C2×D4—24no—
1568C2×D4—24no—
1569C2×D4—22no—
1570C2×D4—22no—
1571C2×D4—22no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—41no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—41no—
1587C2×D4—41no—
1588C2×D4—41no—
1589C2×D4—41no—
1590C2×D4—41no—
1591C22×C4—22no—
1592C22×C4—22no—
1593C22×C4—22no—
1594C22×C4—24no—
1595C22×C4—22no—
1596C22×C4—24no—
1597C22×C4—24no—
1598C22×C4—24no—
1599C22×C4—24no—
1600C22×C4—24no—
1601C22×C4—24no—
1602C22×C4—24no—
1603C22×C4—24no—
1604C22×C4—24no—
1605C22×C4—24no—
1606C22×C4—22no—
1607C22×C4—22no—
1608C22×C4—41no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—41no—
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—41no—
1622C22×C4—41no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—41no—
1631C22×C4—41no—
1632C22×C4—41no—
1633C22×C4—42no—
1634C22×C4—41no—
1635C22×C4—41no—
1636C22×C4—42no—
1637C22×C4—41no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—416no—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2511yescharacteristic
1650C22×C4C2511yescharacteristic
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×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2511yescharacteristic
1669C22×C4C2512yes—
1670C22×C4C2511yescharacteristic
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—41no—
1713C4⋊C4—41no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—41no—
1731C4⋊C4—42no—
1732C4⋊C4—41no—
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—
1755C4⋊C4—42no—
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—22no—
1768C22⋊C4—22no—
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—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—41no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—41no—
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—41no—
1830C22⋊C4—42no—
1831C22⋊C4—41no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C42—24no—
1837C42—24no—
1838C42—24no—
1839C42—41no—
1840C42—42no—
1841C42—41no—
1842C42—42no—
1843C42—41no—
1844C42—41no—
1845C42—42no—
1846C42—41no—
1847C42—41no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42—41no—
1852C42—42no—
1853C42—42no—
1854C42—42no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
1861C42—41no—
1862C42—42no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C42—41no—
1867C42—41no—
1868C23—22no—
1869C23—22no—
1870C23—22no—
1871C23—21no—
1872C23—21no—
1873C23—22no—
1874C23—22no—
1875C23—22no—
1876C23—22no—
1877C23—22no—
1878C23—22no—
1879C23—21no—
1880C23—21no—
1881C23—22no—
1882C23—22no—
1883C23—22no—
1884C23—22no—
1885C23—22no—
1886C23—22no—
1887C23—21no—
1888C23—21no—
1889C23—21no—
1890C23—21no—
1891C23—22no—
1892C23—22no—
1893C23—22no—
1894C23—22no—
1895C23—44no—
1896C23—48no—
1897C23—82no—
1898C23—82no—
1899C23—84no—
1900C23—82no—
1901C23—84no—
1902C23—161no—
1903C23—161no—
1904C23—162no—
1905C23C2×H(5,𝔽2)14yes—
1906C23C2×H(5,𝔽2)12yes—
1907C23C2611yescharacteristic
1908Q8—82no—
1909Q8—84no—
1910Q8—161no—
1911Q8—161no—
1912Q8—162no—
1913Q8—162no—
1914D4—48no—
1915D4—82no—
1916D4—84no—
1917D4—84no—
1918D4—84no—
1919D4—84no—
1920D4—82no—
1921D4—82no—
1922D4—84no—
1923C2×C4—28no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—22no—
1927C2×C4—21no—
1928C2×C4—22no—
1929C2×C4—21no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—21no—
1942C2×C4—22no—
1943C2×C4—21no—
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—21no—
1976C2×C4—21no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—21no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—21no—
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—44no—
2012C2×C4—48no—
2013C2×C4—48no—
2014C2×C4—48no—
2015C2×C4—44no—
2016C2×C4—84no—
2017C2×C4—84no—
2018C2×C4—82no—
2019C2×C4—82no—
2020C2×C4—84no—
2021C2×C4—84no—
2022C2×C4—84no—
2023C2×C4—84no—
2024C2×C4—161no—
2025C2×C4—161no—
2026C2×C4—162no—
2027C2×C4#58514yes—
2028C2×C4#58512yes—
2029C2×C4#58512yes—
2030C22—22no—
2031C22—24no—
2032C22—24no—
2033C22—24no—
2034C22—24no—
2035C22—42no—
2036C22—41no—
2037C22—41no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—41no—
2043C22—42no—
2044C22—41no—
2045C22—41no—
2046C22—41no—
2047C22—42no—
2048C22—41no—
2049C22—41no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22—42no—
2058C22—42no—
2059C22—88no—
2060C22—164no—
2061C22C22×H(5,𝔽2)11yescharacteristic
2062C22C2×#58511yescharacteristic
2063C22C2×#58512yes—
2064C22C2×#58511yescharacteristic
2065C222−1+612yes—
2066C4—24no—
2067C4—22no—
2068C4—22no—
2069C4—42no—
2070C4—42no—
2071C4—42no—
2072C4—42no—
2073C4—42no—
2074C4—41no—
2075C4—41no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C4—42no—
2085C4—42no—
2086C4—42no—
2087C4—42no—
2088C4—42no—
2089C4—42no—
2090C4—42no—
2091C4—42no—
2092C4—42no—
2093C4—42no—
2094C4—42no—
2095C4—42no—
2096C2—42no—
2097C2—44no—
2098C2—81no—
2099C2—82no—
2100C2—81no—
2101C2#6275511yescharacteristic
2102C2#6282011yescharacteristic
2103C2#6289111yescharacteristic
2104C2#6290112yes—
2105C2#6293612yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#45442C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59621C2semidirect
2. #59107C2semidirect
3. #58610C2semidirect
4. #58067C2semidirect
5. #57929C2semidirect
6. #55674C2semidirect
7. #55654C2semidirect
8. #55373C2semidirect
9. #54669C2semidirect
10. #53978C2semidirect
11. #52612C2semidirect
12. #49871C2semidirect
13. #48812C2semidirect
14. #48792C2semidirect
15. #48323C2semidirect
16. #46316C2semidirect
18. #44220C2semidirect
19. #44089C2semidirect
20. #43258C2semidirect
21. #42037C2semidirect
22. #41414C2semidirect
23. #41356C2semidirect
24. #41326C2semidirect
25. #41077C2semidirect
26. #40874C2semidirect
27. #40714C2semidirect
28. #38797C2semidirect
29. #38631C2semidirect
30. #37976C2semidirect
31. #36822C2semidirect
32. #36341C2semidirect
33. #35774C2semidirect
34. #35440C2semidirect
35. #34635C2semidirect
38. C2×#551C22semidirect
40. C22×#117C22semidirect
41. #2855C22semidirect
44. #2841C22semidirect
45. #2838C22semidirect
46. #2836C22semidirect
47. #2836C22semidirect
48. #2833C22semidirect
49. #2833C22semidirect
50. #2831C22semidirect
51. #2831C22semidirect
52. #2831C22semidirect
53. #2831C22semidirect
54. #2830C22semidirect
55. #2830C22semidirect
56. #2827C22semidirect
58. #2814C22semidirect
60. #2811C22semidirect
61. #2808C22semidirect
62. #2802C22semidirect
63. #2802C22semidirect
64. #2802C22semidirect
65. #2799C22semidirect
66. #2798C22semidirect
67. #2798C22semidirect
68. #2798C22semidirect
69. #2793C22semidirect
70. #2792C22semidirect
71. #2792C22semidirect
72. #2790C22semidirect
73. #2787C22semidirect
75. #2783C22semidirect
76. #2781C22semidirect
77. #2777C22semidirect
78. #2777C22semidirect
79. #2776C22semidirect
80. #2775C22semidirect
81. #2774C22semidirect
82. #2774C22semidirect
83. #2773C22semidirect
84. #2773C22semidirect
85. #2772C22semidirect
86. #2771C22semidirect
87. #2770C22semidirect
88. #2770C22semidirect
89. #2767C22semidirect
90. #2765C22semidirect
91. #2765C22semidirect
92. #2764C22semidirect
93. #2758C22semidirect
95. #2757C22semidirect
96. #2755C22semidirect
100. #2751C22semidirect
103. #2748C22semidirect
104. #2747C22semidirect
105. #2745C22semidirect
106. #2745C22semidirect
107. #2745C22semidirect
108. #2745C22semidirect
109. #2744C22semidirect
110. #2744C22semidirect
112. #2742C22semidirect
113. #2740C22semidirect
114. #2738C22semidirect
115. #2738C22semidirect
116. #2738C22semidirect
118. #2737C22semidirect
119. #2735C22semidirect
120. #2735C22semidirect
121. #2734C22semidirect
122. #2725C22semidirect
123. #2724C22semidirect
124. #2721C22semidirect
127. #2718C22semidirect
132. #2717C22semidirect
133. #2716C22semidirect
136. #2713C22semidirect
137. #2713C22semidirect
143. #2704C22semidirect
144. #2704C22semidirect
148. #2700C22semidirect
149. #2698C22semidirect
153. #2697C22semidirect
157. #2690C22semidirect
158. #2690C22semidirect
159. #2689C22semidirect
162. #2685C22semidirect
168. #2667C22semidirect
169. #2667C22semidirect
170. #2666C22semidirect
171. #2666C22semidirect
173. #2654C22semidirect
174. #2654C22semidirect
175. #2654C22semidirect
176. #2654C22semidirect
177. #2653C22semidirect
178. #2652C22semidirect
179. #2651C22semidirect
180. #2649C22semidirect
181. #2649C22semidirect
184. #2628C22semidirect
185. #2626C22semidirect
186. #2626C22semidirect
187. #2625C22semidirect
188. #2625C22semidirect
189. #2625C22semidirect
193. #2623C22semidirect
196. #2622C22semidirect
198. #2609C22semidirect
199. #2608C22semidirect
200. #2608C22semidirect
203. #2601C22semidirect
204. #2599C22semidirect
205. #2596C22semidirect
206. #2595C22semidirect
207. #2594C22semidirect
208. #2590C22semidirect
209. #2589C22semidirect
210. #2588C22semidirect
211. #2588C22semidirect
212. #2588C22semidirect
213. #2587C22semidirect
214. #2586C22semidirect
215. #2586C22semidirect
216. #2585C22semidirect
217. #2585C22semidirect
218. #2583C22semidirect
219. #2583C22semidirect
222. #2577C22semidirect
223. #2577C22semidirect
226. #2576C22semidirect
227. #2575C22semidirect
228. #2575C22semidirect
229. #2575C22semidirect
230. #2574C22semidirect
231. #2574C22semidirect
232. #2573C22semidirect
233. #2573C22semidirect
234. #2573C22semidirect
235. #2573C22semidirect
237. #2570C22semidirect
238. #2569C22semidirect
240. #2561C22semidirect
242. #2558C22semidirect
243. #2550C22semidirect
246. #2525C22semidirect
247. #2525C22semidirect
248. #2525C22semidirect
249. #2523C22semidirect
250. #2523C22semidirect
251. #2523C22semidirect
252. #2522C22semidirect
255. #2520C22semidirect
257. #2517C22semidirect
259. #2515C22semidirect
261. #2505C22semidirect
262. #2499C22semidirect
263. #2497C22semidirect
264. #2495C22semidirect
265. #2494C22semidirect
267. #2485C22semidirect
268. #2485C22semidirect
269. #2484C22semidirect
270. #2483C22semidirect
272. #2480C22semidirect
274. #2478C22semidirect
275. #2478C22semidirect
276. #2478C22semidirect
277. #2478C22semidirect
278. #2478C22semidirect
279. #2478C22semidirect
280. #2478C22semidirect
282. #2475C22semidirect
283. #2475C22semidirect
292. #2473C22semidirect
296. #2470C22semidirect
298. #2466C22semidirect
299. #2465C22semidirect
300. #2465C22semidirect
303. #2460C22semidirect
309. #2454C22semidirect
315. #2440C22semidirect
316. #2438C22semidirect
317. #2438C22semidirect
318. #2438C22semidirect
322. #2419C22semidirect
335. #2395C22semidirect
336. #2395C22semidirect
337. #2395C22semidirect
339. #2381C22semidirect
340. #2381C22semidirect
342. #2374C22semidirect
343. #2370C22semidirect
344. #2369C22semidirect
345. #2360C22semidirect
349. #2358C22semidirect
350. #2358C22semidirect
351. #2355C22semidirect
353. #2352C22semidirect
354. D4×C4⋊C4C22semidirect
355. #2347C22semidirect
356. #2344C22semidirect
357. #2344C22semidirect
358. #2342C22semidirect
359. #2342C22semidirect
360. #2336C22semidirect
361. #2336C22semidirect
362. #2334C22semidirect
363. #2334C22semidirect
364. #2332C22semidirect
365. #2332C22semidirect
366. #2323C22semidirect
368. #2312C22semidirect
369. #2312C22semidirect
373. #2296C22semidirect
374. #2296C22semidirect
375. #2296C22semidirect
376. C2×#385C22semidirect
377. #2280C22semidirect
378. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#596212
#591072
#586102
#580672
#579292
#556742
#556542
#553732
#546692
#539782
#526122
#498712
#488122
#487922
#483232
#463162
#454422
#442202
#440892
#432582
#420372
#414142
#413562
#413262
#410772
#408742
#407142
#387972
#386312
#379762
#368222
#363412
#357742
#354402
#346352