Finite Group Databasebeta

← #8755136

Subgroups — #8755136

Order 512.

4384 conjugacy classes of subgroups.

The subgroup lattice has 2169 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58232C212yesmaximal, complemented
2#58005C212yesmaximal, complemented
3#57859C212yesmaximal, complemented
4#55438C212yesmaximal, complemented
5#55413C212yesmaximal, complemented
6#55200C212yesmaximal, complemented
7#55189C212yesmaximal, complemented
8#55130C212yesmaximal, complemented
9#54964C212yesmaximal, complemented
10#54848C212yesmaximal, complemented
11#53628C212yesmaximal, complemented
12#53429C212yesmaximal, complemented
13#51930C211yesmaximal, characteristic, complemented
14#51822C212yesmaximal, complemented
15#51629C211yesmaximal, characteristic, complemented
16#50443C212yesmaximal, complemented
17#50162C212yesmaximal, complemented
18#49923C212yesmaximal, complemented
19#49885C212yesmaximal, complemented
20#47690C212yesmaximal, complemented
21#47363C212yesmaximal, complemented
22#46959C212yesmaximal, complemented
23#46827C212yesmaximal, complemented
24#46607C212yesmaximal, complemented
25#46430C211yesmaximal, characteristic, complemented
26#46361C211yesmaximal, characteristic, complemented
27#45914C212yesmaximal, complemented
28#45893C212yesmaximal, complemented
29#45818C212yesmaximal, complemented
30#45741C211yesmaximal, characteristic, complemented
31#45730C211yesmaximal, characteristic, complemented
32#45565C212yesmaximal, complemented
33#45541C212yesmaximal, complemented
34#35243C212yesmaximal, complemented
35#35182C211yesmaximal, characteristic, complemented
36C2×#542C2212yes—
37C2×#539C2211yescharacteristic, complemented
38C2×#538C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic, complemented
41#2853C2212yes—
42#2853C2212yescomplemented
43#2852C2212yes—
44#2852C2212yescomplemented
45#2850C2212yes—
46#2850C2212yescomplemented
47#2843C2212yescomplemented
48#2837C2212yescomplemented
49#2836C2212yes—
50#2836C2212yes—
51#2832C2212yes—
52#2831C2212yes—
53#2829C2212yes—
54#2827C2212yescomplemented
55#2826C2212yes—
56#2826C2212yes—
57#2826C2212yescomplemented
58#2825C2212yes—
59#2824C2212yes—
60#2821C2212yes—
61#2817C2212yes—
62#2816C2212yes—
63#2816C2211yescharacteristic
64#2816C2211yescharacteristic, complemented
65#2813C2212yes—
66#2809C2211yescharacteristic, complemented
67#2808C2212yes—
68#2804C2212yes—
69#2804C2211yescharacteristic, complemented
70#2802C2212yescomplemented
71#2800C2212yes—
72#2800C2212yes—
73#2799C2212yescomplemented
74#2798C2212yescomplemented
75#2797C2212yes—
76#2797C2212yes—
77#2797C2212yes—
78#2797C2212yescomplemented
79#2795C2212yescomplemented
80#2792C2212yescomplemented
81#2791C2212yescomplemented
82#2790C2212yescomplemented
83#2788C2212yes—
84#2788C2212yes—
85#2783C2212yes—
86#2781C2212yes—
87#2780C2212yescomplemented
88#2777C2212yes—
89#2776C2212yescomplemented
90#2775C2212yes—
91#2775C2212yescomplemented
92#2775C2212yescomplemented
93#2773C2212yescomplemented
94#2773C2212yescomplemented
95#2773C2212yescomplemented
96#2771C2212yescomplemented
97#2770C2212yes—
98#2770C2212yescomplemented
99#2769C2212yescomplemented
100#2766C2212yescomplemented
101#2763C2212yes—
102#2761C2212yes—
103#2759C2212yes—
104#2758C2212yescomplemented
105#2758C2212yescomplemented
106#2758C2212yescomplemented
107#2757C2212yes—
108#2756C2212yes—
109#2756C2212yes—
110#2756C2212yes—
111#2754C2212yes—
112#2753C2212yes—
113#2753C2212yescomplemented
114#2752C2212yes—
115#2751C2212yes—
116#2749C2212yes—
117#2747C2212yescomplemented
118#2744C2212yescomplemented
119#2743C2212yes—
120#2743C2212yescomplemented
121#2743C2212yescomplemented
122#2741C2212yes—
123#2741C2212yes—
124#2739C2212yes—
125#2738C2212yes—
126#2738C2212yescomplemented
127#2737C2212yes—
128#2737C2212yes—
129#2736C2212yes—
130#2733C2211yescharacteristic, complemented
131#2732C2212yes—
132#2730C2212yes—
133#2730C2212yes—
134#2730C2212yes—
135#2728C2212yes—
136#2728C2212yescomplemented
137#2728C2212yescomplemented
138#2727C2212yescomplemented
139#2725C2212yes—
140#2724C2212yes—
141#2723C2212yes—
142#2723C2212yes—
143#2721C2212yes—
144#2720C2212yescomplemented
145#2720C2212yescomplemented
146#2720C2212yescomplemented
147#2719C2212yescomplemented
148#2718C2212yes—
149#2718C2212yes—
150#2716C2212yes—
151#2715C2212yes—
152#2714C2212yes—
153#2713C2212yescomplemented
154#2711C2212yes—
155#2710C2212yes—
156#2710C2212yes—
157#2709C2211yescharacteristic, complemented
158#2708C2212yescomplemented
159#2707C2212yes—
160#2706C2212yescomplemented
161#2704C2212yescomplemented
162#2703C2212yes—
163#2701C2212yes—
164#2700C2212yes—
165#2700C2212yescomplemented
166#2699C2212yes—
167#2699C2212yes—
168#2697C2211yescharacteristic
169#2697C2212yes—
170#2696C2212yes—
171#2696C2212yes—
172#2696C2212yescomplemented
173#2694C2212yes—
174#2694C2212yes—
175#2693C2212yes—
176#2693C2212yes—
177#2692C2212yescomplemented
178#2692C2212yescomplemented
179#2689C2212yes—
180#2688C2212yes—
181#2687C2212yes—
182#2685C2212yes—
183#2683C2211yescharacteristic
184#2683C2211yescharacteristic
185#2681C2212yes—
186#2681C2212yes—
187#2680C2212yes—
188#2678C2212yes—
189#2678C2212yes—
190#2676C2212yes—
191#2676C2212yes—
192#2674C2212yescomplemented
193#2674C2212yescomplemented
194#2673C2212yes—
195#2673C2212yes—
196#2672C2212yes—
197#2672C2212yescomplemented
198#2672C2212yescomplemented
199#2671C2212yes—
200#2671C2212yes—
201#2671C2212yes—
202#2671C2212yescomplemented
203#2670C2212yes—
204#2669C2211yescharacteristic
205#2668C2212yes—
206#2665C2212yes—
207#2663C2212yescomplemented
208#2661C2212yes—
209#2654C2212yes—
210#2649C2212yes—
211#2649C2212yescomplemented
212#2648C2212yes—
213#2647C2212yescomplemented
214#2637C2212yes—
215#2637C2212yescomplemented
216#2633C2212yes—
217#2632C2212yes—
218#2632C2212yescomplemented
219#2632C2212yescomplemented
220#2627C2212yescomplemented
221#2623C2212yes—
222#2623C2212yescomplemented
223#2622C2212yes—
224#2603C2212yes—
225#2602C2212yes—
226#2602C2212yes—
227#2601C2212yes—
228#2598C2212yes—
229#2597C2212yescomplemented
230#2595C2212yescomplemented
231#2593C2212yes—
232#2591C2212yescomplemented
233#2589C2212yescomplemented
234#2588C2212yescomplemented
235#2583C2211yescharacteristic, complemented
236#2580C2212yes—
237#2578C2212yes—
238#2577C2212yescomplemented
239#2576C2212yes—
240#2576C2212yescomplemented
241#2573C2212yes—
242#2573C2212yescomplemented
243#2572C2212yescomplemented
244#2572C2212yescomplemented
245#2572C2212yescomplemented
246#2569C2212yescomplemented
247#2565C2212yescomplemented
248#2561C2211yescharacteristic
249#2559C2212yes—
250#2557C2212yes—
251#2557C2212yescomplemented
252#2556C2212yescomplemented
253#2556C2212yescomplemented
254#2555C2212yes—
255#2554C2212yes—
256#2553C2212yes—
257#2553C2212yescomplemented
258#2550C2212yescomplemented
259#2543C2212yes—
260#2542C2212yes—
261#2539C2212yes—
262#2534C2212yes—
263#2533C2212yescomplemented
264#2532C2212yescomplemented
265#2531C2212yes—
266#2531C2212yes—
267#2531C2212yescomplemented
268#2530C2212yes—
269#2529C2212yes—
270#2528C2212yescomplemented
271#2525C2212yescomplemented
272#2524C2212yescomplemented
273#2523C2212yes—
274#2523C2212yes—
275#2522C2212yes—
276#2518C2212yes—
277#2518C2212yes—
278#2517C2212yescomplemented
279#2516C2212yes—
280#2516C2212yes—
281#2515C2212yescomplemented
282#2501C2212yes—
283#2498C2212yescomplemented
284#2497C2212yescomplemented
285#2496C2212yes—
286#2491C2212yes—
287#2490C2212yes—
288#2488C2212yes—
289#2488C2212yes—
290#2485C2212yescomplemented
291#2481C2212yescomplemented
292#2480C2212yes—
293#2479C2212yescomplemented
294#2477C2212yescomplemented
295#2476C2212yescomplemented
296#2472C2212yes—
297#2471C2212yes—
298#2471C2212yes—
299#2470C2212yes—
300#2469C2212yes—
301#2467C2212yes—
302#2465C2212yes—
303#2465C2212yescomplemented
304#2464C2212yes—
305#2463C2212yes—
306#2461C2212yes—
307#2461C2212yes—
308#2460C2212yes—
309#2459C2212yes—
310#2458C2212yes—
311#2458C2212yes—
312#2458C2212yescomplemented
313#2457C2212yes—
314#2457C2212yes—
315#2456C2212yes—
316#2455C2212yescomplemented
317#2451C2212yescomplemented
318#2449C2212yes—
319#2449C2212yes—
320#2449C2212yescomplemented
321#2449C2212yescomplemented
322#2448C2212yes—
323#2448C2212yes—
324#2448C2212yes—
325#2446C2212yescomplemented
326#2446C2212yescomplemented
327#2445C2212yes—
328#2444C2212yescomplemented
329#2443C2212yes—
330#2443C2212yes—
331#2443C2212yescomplemented
332#2440C2212yescomplemented
333#2437C2212yes—
334#2436C2212yes—
335#2431C2211yescharacteristic
336#2431C2211yescharacteristic
337#2428C2212yescomplemented
338#2427C2212yescomplemented
339#2426C2212yes—
340#2423C2212yes—
341#2423C2212yescomplemented
342#2423C2212yescomplemented
343#2423C2212yescomplemented
344#2422C2212yes—
345#2421C2212yes—
346#2421C2212yescomplemented
347#2418C2212yes—
348#2417C2212yes—
349#2416C2212yes—
350#2409C2212yescomplemented
351#2406C2211yescharacteristic
352#2404C2211yescharacteristic
353#2380C2211yescharacteristic
354#2380C2211yescharacteristic, complemented
355#2379C2211yescharacteristic, complemented
356#2377C2212yescomplemented
357#2376C2212yes—
358#2376C2212yes—
359#2376C2211yescharacteristic
360#2376C2211yescharacteristic, complemented
361#2375C2211yescharacteristic
362#2372C2211yescharacteristic, complemented
363#2360C2212yescomplemented
364#2358C2211yescharacteristic
365#2337C2212yes—
366#2332C2211yescharacteristic
367#2332C2211yescharacteristic, complemented
368#2329C2212yescomplemented
369#2326C2212yes—
370#2323C2212yescomplemented
371#2320C2212yescomplemented
372#2317C2211yescharacteristic, complemented
373#2311C2211yescharacteristic
374#2310C2211yescharacteristic, complemented
375C4×#121C2212yes—
376#2297C2211yescharacteristic
377#2296C2211yescharacteristic, complemented
378#2290C2212yescomplemented
379C22×#41C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381#542—48no—
382#539—44no—
383#538—44no—
384#536—44no—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×#127C2311yescharacteristic
388C2×#127C2311yescharacteristic
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#124C2312yes—
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2311yescharacteristic
402C2×#124C2311yescharacteristic
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2311yescharacteristic
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2311yescharacteristic
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#120C2311yescharacteristic
451C2×#120C2311yescharacteristic
452C2×#120C2312yes—
453C2×#120C2312yes—
454C2×C4×Q8—44no—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×#117C2311yescharacteristic
468C2×#117C2311yescharacteristic
469C2×#117C2311yescharacteristic
470C2×#117C2312yes—
471C22×C4⋊C4C2311yescharacteristic
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2312yes—
475C22×C22⋊C4C2311yescharacteristic
476C22×C22⋊C4C2312yes—
477C22×C42C2311yescharacteristic
478C22×C42C2312yes—
479#401C2312yes—
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#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#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#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#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#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#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#392C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
718#392C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2311yescharacteristic
726#391C2311yescharacteristic
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2311yescharacteristic
737#391C2311yescharacteristic
738#391C2312yes—
739#391C2312yes—
740#390C2311yescharacteristic
741#390C2311yescharacteristic
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2312yes—
752#390C2311yescharacteristic
753#390C2312yes—
754#390C2311yescharacteristic
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#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#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2311yescharacteristic
936#386C2312yes—
937#386C2311yescharacteristic
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2311yescharacteristic
973#386C2312yes—
974#386C2312yes—
975#386C2311yescharacteristic
976#386C2311yescharacteristic
977#386C2312yes—
978#386C2311yescharacteristic
979#386C2312yes—
980#386C2311yescharacteristic
981#386C2312yes—
982#386C2311yescharacteristic
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#384C2312yes—
1026#384C2312yes—
1027#384C2312yes—
1028#384C2312yes—
1029#383C2312yes—
1030#383C2312yes—
1031#383C2312yes—
1032#383C2312yes—
1033#383C2312yes—
1034#383C2312yes—
1035#383C2312yes—
1036#383C2312yes—
1037#383C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#382C2312yes—
1042#382C2312yes—
1043#382C2312yes—
1044#382C2312yes—
1045#381C2312yes—
1046#381C2311yescharacteristic
1047#381C2311yescharacteristic
1048#381C2312yes—
1049#381C2312yes—
1050#381C2312yes—
1051#381C2312yes—
1052#381C2312yes—
1053#381C2312yes—
1054#381C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#379C2312yes—
1072#379C2312yes—
1073#379C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C22⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100#376C2312yes—
1101#376C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C2×#41—42no—
1105C2×#41—42no—
1106C2×#41—42no—
1107C22×Q8—24no—
1108C22×Q8—42no—
1109C22×Q8—42no—
1110C22×Q8C2412yes—
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2412yes—
1114C22×Q8C2412yes—
1115C22×Q8C2412yes—
1116C22×Q8C2411yescharacteristic
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2411yescharacteristic
1122C22×D4C2411yescharacteristic
1123C22×D4C2411yescharacteristic
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2411yescharacteristic
1133C22×D4C2412yes—
1134C22×D4C2412yes—
1135C22×D4C2411yescharacteristic
1136C23×C4C2411yescharacteristic
1137C23×C4C2412yes—
1138C23×C4C2411yescharacteristic
1139C23×C4C2411yescharacteristic
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2411yescharacteristic
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2411yescharacteristic
1146C23×C4C2412yes—
1147C23×C4C2411yescharacteristic
1148C23×C4C2411yescharacteristic
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2411yescharacteristic
1154C4⋊Q8—44no—
1155C4⋊Q8—44no—
1156#127—42no—
1157#127—42no—
1158#126—44no—
1159#126—44no—
1160#126—44no—
1161#126—44no—
1162#126—82no—
1163#125—44no—
1164#125—82no—
1165#125—82no—
1166#124—28no—
1167#124—44no—
1168#124—44no—
1169#124—44no—
1170#124—42no—
1171#124—42no—
1172#124—44no—
1173#124—82no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179#123—44no—
1180#123—42no—
1181#123—44no—
1182#123—44no—
1183#123—44no—
1184#123—42no—
1185#123—82no—
1186#123—82no—
1187#123—82no—
1188#123—82no—
1189C22⋊Q8—24no—
1190C22⋊Q8—24no—
1191C22⋊Q8—28no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196C22⋊Q8—42no—
1197C22⋊Q8—42no—
1198C22⋊Q8—82no—
1199C22⋊Q8—82no—
1200C22⋊Q8—82no—
1201C22⋊Q8—82no—
1202C22⋊Q8—82no—
1203C22⋊Q8—82no—
1204C22⋊Q8—82no—
1205C22⋊Q8—82no—
1206#121—42no—
1207#121—42no—
1208#121—44no—
1209#121—44no—
1210#121—44no—
1211#121—44no—
1212#121—82no—
1213#121—82no—
1214#121—82no—
1215#121—82no—
1216#121—82no—
1217#121—82no—
1218#121—82no—
1219#120—42no—
1220#120—44no—
1221#120—42no—
1222#120—82no—
1223C4×Q8—28no—
1224C4×Q8—44no—
1225C4×Q8—44no—
1226C4×Q8—44no—
1227C4×Q8—82no—
1228C4×D4—44no—
1229C4×D4—44no—
1230C4×D4—44no—
1231C4×D4—44no—
1232C4×D4—82no—
1233C4×D4—82no—
1234C4×D4—82no—
1235#117—44no—
1236#117—42no—
1237#117—42no—
1238#117—42no—
1239C2×C4⋊C4—44no—
1240C2×C4⋊C4—42no—
1241C2×C4⋊C4—42no—
1242C2×C4⋊C4—82no—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2411yescharacteristic
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2411yescharacteristic
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C22⋊C4—42no—
1322C2×C22⋊C4—82no—
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⋊C4C2411yescharacteristic
1345C2×C22⋊C4C2411yescharacteristic
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2411yescharacteristic
1361C2×C22⋊C4C2411yescharacteristic
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2411yescharacteristic
1395C2×C22⋊C4C2411yescharacteristic
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C42—44no—
1418C2×C42—42no—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2411yescharacteristic
1426C2×C42C2411yescharacteristic
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2411yescharacteristic
1438C2×C42C2412yes—
1439C2×C42C2411yescharacteristic
1440C2×C42C2411yescharacteristic
1441C2×C42C2411yescharacteristic
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545C24—41no—
1546C24—42no—
1547C24—41no—
1548C24—42no—
1549C24—41no—
1550C24C2512yes—
1551C24C2511yescharacteristic
1552C24C2512yes—
1553C24C2511yescharacteristic
1554C24C2512yes—
1555C24C2511yescharacteristic
1556#41—88no—
1557C2×Q8—22no—
1558C2×Q8—24no—
1559C2×Q8—24no—
1560C2×Q8—22no—
1561C2×Q8—41no—
1562C2×Q8—41no—
1563C2×Q8—42no—
1564C2×Q8—41no—
1565C2×Q8—41no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—41no—
1569C2×Q8—42no—
1570C2×Q8—41no—
1571C2×Q8—42no—
1572C2×Q8—42no—
1573C2×Q8—42no—
1574C2×Q8—42no—
1575C2×Q8—42no—
1576C2×Q8—42no—
1577C2×Q8—416no—
1578C2×Q8H(5,𝔽2)14yes—
1579C2×D4—24no—
1580C2×D4—24no—
1581C2×D4—22no—
1582C2×D4—24no—
1583C2×D4—22no—
1584C2×D4—24no—
1585C2×D4—22no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—41no—
1597C2×D4—41no—
1598C2×D4—41no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—41no—
1607C2×D4—41no—
1608C2×D4—41no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—41no—
1614C2×D4—41no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—41no—
1627C2×D4—41no—
1628C2×D4—42no—
1629C2×D4—41no—
1630C2×D4—42no—
1631C2×D4—41no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C22×C4—22no—
1637C22×C4—22no—
1638C22×C4—22no—
1639C22×C4—24no—
1640C22×C4—24no—
1641C22×C4—22no—
1642C22×C4—22no—
1643C22×C4—24no—
1644C22×C4—41no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—41no—
1649C22×C4—41no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—41no—
1660C22×C4—41no—
1661C22×C4—41no—
1662C22×C4—41no—
1663C22×C4—41no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—41no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—41no—
1682C22×C4—41no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2511yescharacteristic
1694C22×C4C2511yescharacteristic
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2511yescharacteristic
1714C22×C4C2511yescharacteristic
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—22no—
1720C4⋊C4—22no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—41no—
1728C4⋊C4—41no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—41no—
1757C4⋊C4—41no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—41no—
1829C22⋊C4—41no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—41no—
1843C22⋊C4—42no—
1844C22⋊C4—41no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—41no—
1876C22⋊C4—42no—
1877C22⋊C4—41no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C42—24no—
1888C42—24no—
1889C42—24no—
1890C42—24no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—41no—
1899C42—41no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—42no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C42—41no—
1910C42—41no—
1911C42—41no—
1912C42—41no—
1913C23—21no—
1914C23—21no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—21no—
1920C23—21no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—21no—
1926C23—22no—
1927C23—22no—
1928C23—21no—
1929C23—21no—
1930C23—22no—
1931C23—21no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—82no—
1949C23—84no—
1950C23—161no—
1951C23—161no—
1952C23—162no—
1953C23#58512yes—
1954C23C2611yescharacteristic
1955Q8—44no—
1956Q8—48no—
1957Q8—44no—
1958Q8—82no—
1959Q8—84no—
1960Q8—162no—
1961Q8—162no—
1962D4—84no—
1963D4—82no—
1964D4—84no—
1965D4—84no—
1966D4—84no—
1967D4—82no—
1968D4—82no—
1969D4—84no—
1970D4—84no—
1971D4—84no—
1972D4—162no—
1973D4—162no—
1974D4—162no—
1975D4—162no—
1976D4—161no—
1977D4—161no—
1978D4—162no—
1979D4—162no—
1980D4—162no—
1981C2×C4—28no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—21no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—21no—
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—21no—
2001C2×C4—21no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—21no—
2011C2×C4—21no—
2012C2×C4—21no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—21no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—48no—
2067C2×C4—44no—
2068C2×C4—84no—
2069C2×C4—82no—
2070C2×C4—82no—
2071C2×C4—84no—
2072C2×C4—84no—
2073C2×C4—82no—
2074C2×C4—82no—
2075C2×C4—162no—
2076C2×C4—162no—
2077C2×C4—162no—
2078C2×C4—161no—
2079C2×C4—162no—
2080C2×C4—161no—
2081C2×C4—162no—
2082C2×C4—162no—
2083C2×C4C2×H(5,𝔽2)14yes—
2084C2×C4C2×H(5,𝔽2)12yes—
2085C2×C4#58512yes—
2086C22—22no—
2087C22—24no—
2088C22—41no—
2089C22—42no—
2090C22—41no—
2091C22—41no—
2092C22—42no—
2093C22—42no—
2094C22—41no—
2095C22—42no—
2096C22—42no—
2097C22—42no—
2098C22—42no—
2099C22—42no—
2100C22—42no—
2101C22—42no—
2102C22—42no—
2103C22—42no—
2104C22—41no—
2105C22—42no—
2106C22—42no—
2107C22—41no—
2108C22—42no—
2109C22—41no—
2110C22—41no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—164no—
2123C22C22×H(5,𝔽2)11yescharacteristic
2124C22C2×#58511yescharacteristic
2125C22C2×#58511yescharacteristic
2126C22H(7,𝔽2)12yes—
2127C222−1+612yes—
2128C4—22no—
2129C4—22no—
2130C4—24no—
2131C4—42no—
2132C4—42no—
2133C4—42no—
2134C4—42no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—42no—
2143C4—42no—
2144C4—42no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—41no—
2150C4—41no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C4—42no—
2156C4—42no—
2157C2—42no—
2158C2—82no—
2159C2—82no—
2160C2—81no—
2161C2—81no—
2162C2—82no—
2163C2#6282011yescharacteristic
2164C2#6287212yes—
2165C2#6304411yescharacteristic
2166C2#6305612yes—
2167C2#6306611yescharacteristic
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. #58232C2semidirect
2. #58005C2semidirect
3. #57859C2semidirect
4. #55438C2semidirect
5. #55413C2semidirect
6. #55200C2semidirect
7. #55189C2semidirect
8. #55130C2semidirect
9. #54964C2semidirect
10. #54848C2semidirect
11. #53628C2semidirect
12. #53429C2semidirect
13. #51930C2semidirect
14. #51822C2semidirect
15. #51629C2semidirect
16. #50443C2semidirect
17. #50162C2semidirect
18. #49923C2semidirect
19. #49885C2semidirect
20. #47690C2semidirect
21. #47363C2semidirect
22. #46959C2semidirect
23. #46827C2semidirect
24. #46607C2semidirect
25. #46430C2semidirect
26. #46361C2semidirect
27. #45914C2semidirect
28. #45893C2semidirect
29. #45818C2semidirect
30. #45741C2semidirect
31. #45730C2semidirect
32. #45565C2semidirect
33. #45541C2semidirect
34. #35243C2semidirect
35. #35182C2semidirect
37. C2×#539C22semidirect
40. C22×C4×Q8C22semidirect
42. #2853C22semidirect
44. #2852C22semidirect
46. #2850C22semidirect
47. #2843C22semidirect
48. #2837C22semidirect
54. #2827C22semidirect
57. #2826C22semidirect
64. #2816C22semidirect
66. #2809C22semidirect
69. #2804C22semidirect
70. #2802C22semidirect
73. #2799C22semidirect
74. #2798C22semidirect
78. #2797C22semidirect
79. #2795C22semidirect
80. #2792C22semidirect
81. #2791C22semidirect
82. #2790C22semidirect
87. #2780C22semidirect
89. #2776C22semidirect
91. #2775C22semidirect
92. #2775C22semidirect
93. #2773C22semidirect
94. #2773C22semidirect
95. #2773C22semidirect
96. #2771C22semidirect
98. #2770C22semidirect
99. #2769C22semidirect
100. #2766C22semidirect
104. #2758C22semidirect
105. #2758C22semidirect
106. #2758C22semidirect
113. #2753C22semidirect
117. #2747C22semidirect
118. #2744C22semidirect
120. #2743C22semidirect
121. #2743C22semidirect
126. #2738C22semidirect
130. #2733C22semidirect
136. #2728C22semidirect
137. #2728C22semidirect
138. #2727C22semidirect
144. #2720C22semidirect
145. #2720C22semidirect
146. #2720C22semidirect
147. #2719C22semidirect
153. #2713C22semidirect
157. #2709C22semidirect
158. #2708C22semidirect
160. #2706C22semidirect
161. #2704C22semidirect
165. #2700C22semidirect
172. #2696C22semidirect
177. #2692C22semidirect
178. #2692C22semidirect
192. #2674C22semidirect
193. #2674C22semidirect
197. #2672C22semidirect
198. #2672C22semidirect
202. #2671C22semidirect
207. #2663C22semidirect
211. #2649C22semidirect
213. #2647C22semidirect
215. #2637C22semidirect
218. #2632C22semidirect
219. #2632C22semidirect
220. #2627C22semidirect
222. #2623C22semidirect
229. #2597C22semidirect
230. #2595C22semidirect
232. #2591C22semidirect
233. #2589C22semidirect
234. #2588C22semidirect
235. #2583C22semidirect
238. #2577C22semidirect
240. #2576C22semidirect
242. #2573C22semidirect
243. #2572C22semidirect
244. #2572C22semidirect
245. #2572C22semidirect
246. #2569C22semidirect
247. #2565C22semidirect
251. #2557C22semidirect
252. #2556C22semidirect
253. #2556C22semidirect
257. #2553C22semidirect
258. #2550C22semidirect
263. #2533C22semidirect
264. #2532C22semidirect
267. #2531C22semidirect
270. #2528C22semidirect
271. #2525C22semidirect
272. #2524C22semidirect
278. #2517C22semidirect
281. #2515C22semidirect
283. #2498C22semidirect
284. #2497C22semidirect
290. #2485C22semidirect
291. #2481C22semidirect
293. #2479C22semidirect
294. #2477C22semidirect
295. #2476C22semidirect
303. #2465C22semidirect
312. #2458C22semidirect
316. #2455C22semidirect
317. #2451C22semidirect
320. #2449C22semidirect
321. #2449C22semidirect
325. #2446C22semidirect
326. #2446C22semidirect
328. #2444C22semidirect
331. #2443C22semidirect
332. #2440C22semidirect
337. #2428C22semidirect
338. #2427C22semidirect
341. #2423C22semidirect
342. #2423C22semidirect
343. #2423C22semidirect
346. #2421C22semidirect
350. #2409C22semidirect
354. #2380C22semidirect
355. #2379C22semidirect
356. #2377C22semidirect
360. #2376C22semidirect
362. #2372C22semidirect
363. #2360C22semidirect
367. #2332C22semidirect
368. #2329C22semidirect
370. #2323C22semidirect
371. #2320C22semidirect
372. #2317C22semidirect
374. #2310C22semidirect
377. #2296C22semidirect
378. #2290C22semidirect

Maximal subgroups

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

subgroupindex
#582322
#580052
#578592
#554382
#554132
#552002
#551892
#551302
#549642
#548482
#536282
#534292
#519302
#518222
#516292
#504432
#501622
#499232
#498852
#476902
#473632
#469592
#468272
#466072
#464302
#463612
#459142
#458932
#458182
#457412
#457302
#455652
#455412
#352432
#351822