Finite Group Databasebeta

← #9034209

Subgroups — #9034209

Order 512.

4546 conjugacy classes of subgroups.

The subgroup lattice has 2085 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59989C211yesmaximal, characteristic, complemented
2#58913C212yesmaximal, complemented
3#58910C212yesmaximal, complemented
4#58619C212yesmaximal, complemented
5#56781C212yesmaximal, complemented
6#55364C212yesmaximal, complemented
7#54125C212yesmaximal, complemented
8#52600C212yesmaximal, complemented
9#52071C211yesmaximal, characteristic
10#52015C212yesmaximal, complemented
11#51542C211yesmaximal, characteristic, complemented
12#51020C212yesmaximal, complemented
13#50860C212yesmaximal, complemented
14#50038C212yesmaximal, complemented
15#47660C211yesmaximal, characteristic, complemented
16#47171C211yesmaximal, characteristic, complemented
17#46758C212yesmaximal, complemented
18#46440C212yesmaximal, complemented
19#46363C212yesmaximal, complemented
20#45759C211yesmaximal, characteristic, complemented
21#44602C212yesmaximal, complemented
22#44575C212yesmaximal, complemented
23#44440C212yesmaximal, complemented
24#44042C212yesmaximal, complemented
25#43909C212yesmaximal, complemented
26#43865C212yesmaximal, complemented
27#43133C212yesmaximal, complemented
28#42972C212yesmaximal, complemented
29#42610C212yesmaximal, complemented
30#41852C212yesmaximal, complemented
31#40726C212yesmaximal, complemented
32#38644C212yesmaximal, complemented
33#37686C212yesmaximal, complemented
34#35997C212yesmaximal, complemented
35#35667C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#552C2212yes—
39C2×#544C2212yes—
40C2×#539C2212yes—
41C2×#536C2211yescharacteristic
42C2×#536C2211yescharacteristic
43C22×C4⋊Q8C2211yescharacteristic
44C2×#519C2211yescharacteristic
45#2851C2212yes—
46#2845C2212yes—
47#2845C2212yes—
48#2841C2212yes—
49#2839C2212yes—
50#2836C2212yes—
51#2836C2212yes—
52#2835C2211yescharacteristic
53#2834C2212yes—
54#2834C2211yescharacteristic
55#2833C2211yescharacteristic
56#2833C2212yes—
57#2833C2211yescharacteristic
58#2831C2212yes—
59#2827C2212yes—
60#2814C2212yes—
61#2809C2211yescharacteristic
62#2807C2211yescharacteristic
63#2805C2212yes—
64#2802C2212yes—
65#2802C2212yes—
66#2799C2211yescharacteristic
67#2792C2212yes—
68#2792C2212yes—
69#2791C2212yes—
70#2790C2212yes—
71#2790C2212yes—
72#2790C2212yes—
73#2788C2212yes—
74#2788C2212yes—
75#2783C2212yes—
76#2782C2212yes—
77#2780C2212yes—
78#2776C2212yes—
79#2776C2212yes—
80#2776C2212yes—
81#2776C2212yes—
82#2775C2212yes—
83#2775C2212yes—
84#2774C2212yes—
85#2774C2212yes—
86#2773C2212yes—
87#2772C2212yes—
88#2772C2212yes—
89#2769C2212yes—
90#2768C2212yes—
91#2768C2212yes—
92#2766C2212yes—
93#2762C2212yes—
94#2762C2212yes—
95#2758C2212yes—
96#2757C2212yes—
97#2748C2212yes—
98#2747C2212yes—
99#2746C2212yes—
100#2746C2212yes—
101#2744C2212yes—
102#2742C2211yescharacteristic
103#2738C2212yes—
104#2738C2212yes—
105#2738C2212yes—
106#2738C2212yes—
107#2734C2212yes—
108#2734C2211yescharacteristic
109#2734C2212yes—
110#2734C2212yes—
111#2730C2212yes—
112#2729C2212yes—
113#2729C2212yes—
114#2729C2212yes—
115#2729C2212yes—
116#2728C2212yes—
117#2728C2211yescharacteristic
118#2726C2212yes—
119#2726C2212yes—
120#2726C2212yes—
121#2725C2212yes—
122#2725C2212yes—
123#2724C2212yes—
124#2722C2211yescharacteristic
125#2721C2212yes—
126#2721C2212yes—
127#2720C2212yes—
128#2720C2212yes—
129#2719C2212yes—
130#2719C2212yes—
131#2718C2212yes—
132#2717C2212yes—
133#2715C2212yes—
134#2713C2212yes—
135#2713C2212yes—
136#2713C2212yes—
137#2713C2212yes—
138#2713C2212yes—
139#2708C2212yes—
140#2707C2212yes—
141#2707C2212yes—
142#2706C2212yes—
143#2706C2212yes—
144#2706C2212yes—
145#2704C2212yes—
146#2704C2212yes—
147#2704C2212yes—
148#2704C2212yes—
149#2698C2212yes—
150#2698C2212yes—
151#2698C2212yes—
152#2698C2212yes—
153#2696C2212yes—
154#2694C2212yes—
155#2693C2211yescharacteristic
156#2693C2212yes—
157#2693C2212yes—
158#2692C2212yes—
159#2691C2212yes—
160#2690C2212yes—
161#2690C2212yes—
162#2690C2212yes—
163#2690C2212yes—
164#2689C2212yes—
165#2687C2212yes—
166#2683C2212yes—
167#2680C2212yes—
168#2680C2212yes—
169#2677C2212yes—
170#2677C2212yes—
171#2677C2212yes—
172#2674C2212yes—
173#2667C2212yes—
174#2664C2212yes—
175#2664C2212yes—
176#2660C2211yescharacteristic
177#2660C2212yes—
178#2660C2211yescharacteristic
179#2655C2212yes—
180#2654C2212yes—
181#2652C2212yes—
182#2652C2212yes—
183#2647C2212yes—
184#2647C2212yes—
185#2643C2212yes—
186#2634C2212yes—
187#2634C2212yes—
188#2634C2212yes—
189#2632C2211yescharacteristic
190#2631C2211yescharacteristic
191#2629C2212yes—
192#2628C2212yes—
193#2625C2212yes—
194#2612C2212yes—
195#2612C2212yes—
196#2611C2211yescharacteristic
197#2611C2211yescharacteristic
198#2608C2212yes—
199#2606C2212yes—
200#2602C2212yes—
201#2601C2212yes—
202#2601C2212yes—
203#2599C2212yes—
204#2599C2212yes—
205#2599C2211yescharacteristic
206#2598C2211yescharacteristic
207#2598C2212yes—
208#2590C2212yes—
209#2590C2212yes—
210#2587C2212yes—
211#2587C2212yes—
212#2586C2211yescharacteristic
213#2585C2212yes—
214#2584C2212yes—
215#2584C2212yes—
216#2583C2212yes—
217#2576C2212yes—
218#2576C2212yes—
219#2575C2212yes—
220#2574C2212yes—
221#2572C2211yescharacteristic
222#2560C2212yes—
223#2557C2212yes—
224#2556C2212yes—
225#2556C2212yes—
226#2553C2212yes—
227#2553C2212yes—
228#2553C2212yes—
229#2552C2212yes—
230#2551C2212yes—
231#2550C2212yes—
232#2550C2212yes—
233#2549C2212yes—
234#2546C2212yes—
235#2546C2212yes—
236#2545C2212yes—
237#2545C2212yes—
238#2538C2212yes—
239#2533C2212yes—
240#2531C2212yes—
241#2528C2212yes—
242#2528C2212yes—
243#2527C2212yes—
244#2527C2212yes—
245#2526C2212yes—
246#2526C2212yes—
247#2525C2212yes—
248#2524C2212yes—
249#2524C2212yes—
250#2522C2212yes—
251#2519C2212yes—
252#2517C2211yescharacteristic
253#2510C2212yes—
254#2509C2212yes—
255#2509C2212yes—
256#2508C2212yes—
257#2507C2212yes—
258#2507C2212yes—
259#2506C2212yes—
260#2506C2212yes—
261#2505C2212yes—
262#2505C2212yes—
263#2498C2212yes—
264#2497C2212yes—
265#2495C2212yes—
266#2494C2212yes—
267#2481C2212yes—
268#2481C2212yes—
269#2478C2212yes—
270#2478C2212yes—
271#2478C2212yes—
272#2478C2212yes—
273#2475C2212yes—
274#2473C2212yes—
275#2473C2212yes—
276#2473C2212yes—
277#2471C2212yes—
278#2471C2212yes—
279#2470C2212yes—
280#2470C2212yes—
281#2470C2212yes—
282#2470C2212yes—
283#2470C2212yes—
284#2470C2212yes—
285#2463C2212yes—
286#2462C2212yes—
287#2462C2212yes—
288#2461C2212yes—
289#2457C2212yes—
290#2457C2212yes—
291#2456C2212yes—
292#2455C2211yescharacteristic
293#2453C2212yes—
294#2453C2212yes—
295#2452C2212yes—
296#2451C2212yes—
297#2450C2212yes—
298#2449C2212yes—
299#2449C2212yes—
300#2449C2212yes—
301#2449C2212yes—
302#2449C2212yes—
303#2449C2212yes—
304#2449C2212yes—
305#2443C2212yes—
306#2442C2212yes—
307#2442C2212yes—
308#2441C2212yes—
309#2440C2212yes—
310#2440C2212yes—
311#2440C2212yes—
312#2440C2212yes—
313#2440C2212yes—
314#2440C2212yes—
315#2440C2212yes—
316#2439C2212yes—
317#2438C2212yes—
318#2438C2212yes—
319#2438C2212yes—
320#2434C2212yes—
321#2434C2212yes—
322#2429C2212yes—
323#2429C2212yes—
324#2429C2212yes—
325#2429C2212yes—
326#2429C2212yes—
327#2429C2212yes—
328#2429C2212yes—
329#2425C2212yes—
330#2419C2212yes—
331#2417C2212yes—
332#2413C2212yes—
333#2413C2212yes—
334#2413C2212yes—
335#2413C2212yes—
336#2413C2212yes—
337#2409C2212yes—
338#2409C2212yes—
339#2407C2212yes—
340#2406C2212yes—
341#2401C2212yes—
342#2396C2212yes—
343#2396C2212yes—
344#2395C2212yes—
345C2×#398C2212yes—
346#2383C2212yes—
347#2381C2211yescharacteristic
348#2374C2212yes—
349#2372C2211yescharacteristic
350#2365C2212yes—
351#2365C2212yes—
352#2360C2212yes—
353#2360C2212yes—
354#2359C2212yes—
355#2359C2212yes—
356#2359C2212yes—
357#2359C2212yes—
358#2353C2212yes—
359#2352C2212yes—
360D4×C4⋊C4C2212yes—
361#2347C2212yes—
362#2346C2212yes—
363#2346C2212yes—
364#2345C2212yes—
365#2335C2212yes—
366#2335C2212yes—
367#2335C2212yes—
368#2335C2212yes—
369#2331C2212yes—
370#2331C2212yes—
371#2329C2212yes—
372#2322C2212yes—
373#2322C2212yes—
374#2317C2212yes—
375#2310C2211yescharacteristic
376#2297C2211yescharacteristic
377#2296C2211yescharacteristic
378#2290C2212yes—
379C22×#41C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381C23×Q8C2311yescharacteristic
382#563—44no—
383#554—44no—
384#552—48no—
385#544—48no—
386#539—48no—
387#536—44no—
388#536—44no—
389C2×C4⋊Q8—44no—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2311yescharacteristic
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×C4⋊Q8C2311yescharacteristic
397C2×C4⋊Q8C2312yes—
398C2×C4⋊Q8C2312yes—
399C2×C4⋊Q8C2312yes—
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2312yes—
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2311yescharacteristic
411C2×#125C2311yescharacteristic
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#124C2311yescharacteristic
420C2×#124C2311yescharacteristic
421C2×#124C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×#121C2312yes—
454#519—44no—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2311yescharacteristic
471C2×#117C2311yescharacteristic
472C2×#117C2311yescharacteristic
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C42C2311yescharacteristic
486#401C2312yes—
487#401C2312yes—
488#401C2312yes—
489#401C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2311yescharacteristic
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2311yescharacteristic
501#400C2311yescharacteristic
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#399C2312yes—
534#399C2311yescharacteristic
535#399C2312yes—
536#399C2311yescharacteristic
537#399C2312yes—
538#399C2312yes—
539#399C2311yescharacteristic
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2311yescharacteristic
555#398C2311yescharacteristic
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2311yescharacteristic
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#398C2312yes—
606#398C2312yes—
607#398C2312yes—
608#398C2312yes—
609#398C2312yes—
610#398C2312yes—
611#398C2312yes—
612#398C2312yes—
613#398C2312yes—
614#398C2312yes—
615#398C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2311yescharacteristic
626#397C2312yes—
627#397C2312yes—
628#397C2311yescharacteristic
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2311yescharacteristic
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#397C2312yes—
640#397C2312yes—
641#397C2312yes—
642#397C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
663#396C2312yes—
664#396C2312yes—
665#396C2312yes—
666#396C2312yes—
667#396C2312yes—
668#396C2312yes—
669#396C2312yes—
670#396C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#395C2312yes—
679#395C2312yes—
680#395C2312yes—
681#395C2312yes—
682#395C2311yescharacteristic
683#395C2312yes—
684#395C2312yes—
685#395C2312yes—
686#395C2312yes—
687#395C2312yes—
688#395C2312yes—
689#395C2312yes—
690#395C2312yes—
691#395C2312yes—
692#395C2312yes—
693#395C2312yes—
694#395C2312yes—
695#395C2312yes—
696#395C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2311yescharacteristic
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
703#394C2312yes—
704#394C2312yes—
705#394C2312yes—
706#394C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2311yescharacteristic
711#393C2312yes—
712#393C2312yes—
713#393C2312yes—
714#392C2312yes—
715#392C2311yescharacteristic
716#392C2312yes—
717#392C2312yes—
718#391C2312yes—
719#391C2311yescharacteristic
720#391C2311yescharacteristic
721#391C2312yes—
722#391C2311yescharacteristic
723#391C2311yescharacteristic
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#390C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
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#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#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
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#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#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
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#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#385C2311yescharacteristic
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#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2311yescharacteristic
1003#385C2312yes—
1004#385C2311yescharacteristic
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2311yescharacteristic
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#384C2312yes—
1015#384C2312yes—
1016#384C2312yes—
1017#384C2312yes—
1018#384C2312yes—
1019#384C2312yes—
1020#383C2312yes—
1021#383C2311yescharacteristic
1022#383C2312yes—
1023#383C2312yes—
1024#383C2312yes—
1025#383C2311yescharacteristic
1026#383C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#382C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
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×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099#376C2312yes—
1100#376C2312yes—
1101#376C2311yescharacteristic
1102#376C2312yes—
1103#376C2311yescharacteristic
1104C2×#95C2312yes—
1105C2×#95C2312yes—
1106C2×#95C2312yes—
1107C2×#41—42no—
1108C2×#41—42no—
1109C2×#41—42no—
1110C22×Q8—24no—
1111C22×Q8—42no—
1112C22×Q8—42no—
1113C22×Q8—42no—
1114C22×Q8—42no—
1115C22×Q8—42no—
1116C22×Q8C2412yes—
1117C22×Q8C2411yescharacteristic
1118C22×Q8C2412yes—
1119C22×Q8C2411yescharacteristic
1120C22×Q8C2411yescharacteristic
1121C22×Q8C2411yescharacteristic
1122C22×Q8C2412yes—
1123C22×Q8C2411yescharacteristic
1124C22×Q8C2412yes—
1125C22×Q8C2411yescharacteristic
1126C22×D4C2412yes—
1127C22×D4C2411yescharacteristic
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2411yescharacteristic
1132C23×C4C2411yescharacteristic
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2411yescharacteristic
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C4⋊Q8—28no—
1148C4⋊Q8—24no—
1149C4⋊Q8—28no—
1150C4⋊Q8—44no—
1151C4⋊Q8—44no—
1152C4⋊Q8—42no—
1153C4⋊Q8—44no—
1154C4⋊Q8—44no—
1155C4⋊Q8—44no—
1156C4⋊Q8—44no—
1157C4⋊Q8—44no—
1158C4⋊Q8—44no—
1159#126—28no—
1160#126—44no—
1161#126—44no—
1162#126—44no—
1163#126—44no—
1164#125—44no—
1165#125—44no—
1166#125—44no—
1167#125—44no—
1168#125—44no—
1169#125—42no—
1170#125—42no—
1171#125—44no—
1172#125—44no—
1173#125—44no—
1174#125—44no—
1175#125—44no—
1176#124—24no—
1177#124—44no—
1178#124—42no—
1179#123—28no—
1180#123—28no—
1181#123—28no—
1182#123—28no—
1183#123—28no—
1184#123—44no—
1185#123—44no—
1186#123—44no—
1187#123—44no—
1188#123—44no—
1189#123—44no—
1190#123—44no—
1191C22⋊Q8—28no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—44no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—44no—
1201C22⋊Q8—44no—
1202C22⋊Q8—44no—
1203C22⋊Q8—44no—
1204C22⋊Q8—44no—
1205C22⋊Q8—44no—
1206C22⋊Q8—44no—
1207C22⋊Q8—44no—
1208C22⋊Q8—44no—
1209C22⋊Q8—44no—
1210#121—44no—
1211C4×Q8—44no—
1212C4×Q8—44no—
1213C4×Q8—44no—
1214C4×Q8—44no—
1215C4×Q8—44no—
1216C4×Q8—42no—
1217C4×D4—28no—
1218C4×D4—44no—
1219C4×D4—42no—
1220C4×D4—44no—
1221C4×D4—44no—
1222C4×D4—44no—
1223C4×D4—44no—
1224#117—24no—
1225#117—28no—
1226#117—28no—
1227#117—42no—
1228#117—44no—
1229#117—44no—
1230#117—44no—
1231#117—44no—
1232#117—44no—
1233#117—42no—
1234C2×C4⋊C4—44no—
1235C2×C4⋊C4—44no—
1236C2×C4⋊C4—44no—
1237C2×C4⋊C4—44no—
1238C2×C4⋊C4—44no—
1239C2×C4⋊C4—44no—
1240C2×C4⋊C4—44no—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C22⋊C4C2411yescharacteristic
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2411yescharacteristic
1377C2×C22⋊C4C2411yescharacteristic
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2411yescharacteristic
1406C2×C22⋊C4C2412yes—
1407C2×C42—42no—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2411yescharacteristic
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2411yescharacteristic
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2411yescharacteristic
1420C2×C42C2412yes—
1421C2×C42C2411yescharacteristic
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
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#95C2411yescharacteristic
1453#95C2411yescharacteristic
1454#95C2412yes—
1455#95C2411yescharacteristic
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2411yescharacteristic
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#95C2411yescharacteristic
1543#95C2412yes—
1544#95C2412yes—
1545#95C2411yescharacteristic
1546#95C2411yescharacteristic
1547#95C2412yes—
1548#95C2411yescharacteristic
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554C24C2512yes—
1555C24C2511yescharacteristic
1556C24C2512yes—
1557#41—88no—
1558C2×Q8—24no—
1559C2×Q8—22no—
1560C2×Q8—24no—
1561C2×Q8—22no—
1562C2×Q8—24no—
1563C2×Q8—24no—
1564C2×Q8—22no—
1565C2×Q8—22no—
1566C2×Q8—41no—
1567C2×Q8—41no—
1568C2×Q8—42no—
1569C2×Q8—41no—
1570C2×Q8—41no—
1571C2×Q8—42no—
1572C2×Q8—41no—
1573C2×Q8—41no—
1574C2×Q8—41no—
1575C2×Q8—42no—
1576C2×Q8—41no—
1577C2×Q8—41no—
1578C2×Q8—41no—
1579C2×Q8—42no—
1580C2×Q8—42no—
1581C2×Q8—42no—
1582C2×Q8—41no—
1583C2×Q8—42no—
1584C2×Q8—42no—
1585C2×Q8—42no—
1586C2×Q8—416no—
1587C2×Q8—88no—
1588C2×Q8H(5,𝔽2)14yes—
1589C2×D4—24no—
1590C2×D4—24no—
1591C2×D4—24no—
1592C2×D4—24no—
1593C2×D4—24no—
1594C2×D4—24no—
1595C2×D4—22no—
1596C2×D4—41no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—41no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—41no—
1605C2×D4—42no—
1606C22×C4—22no—
1607C22×C4—22no—
1608C22×C4—22no—
1609C22×C4—24no—
1610C22×C4—24no—
1611C22×C4—24no—
1612C22×C4—24no—
1613C22×C4—24no—
1614C22×C4—24no—
1615C22×C4—24no—
1616C22×C4—24no—
1617C22×C4—24no—
1618C22×C4—24no—
1619C22×C4—24no—
1620C22×C4—24no—
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—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2511yescharacteristic
1653C22×C4C2512yes—
1654C22×C4C2511yescharacteristic
1655C22×C4C2512yes—
1656C22×C4C2511yescharacteristic
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2511yescharacteristic
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2511yescharacteristic
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2511yescharacteristic
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—41no—
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—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—41no—
1751C4⋊C4—41no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—41no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—41no—
1768C4⋊C4—41no—
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—41no—
1786C4⋊C4—41no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C22⋊C4—22no—
1792C22⋊C4—24no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—41no—
1830C22⋊C4—41no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4H(5,𝔽2)14yes—
1846C22⋊C42−1+418yes—
1847C42—24no—
1848C42—24no—
1849C42—24no—
1850C42—24no—
1851C42—22no—
1852C42—24no—
1853C42—22no—
1854C42—24no—
1855C42—24no—
1856C42—24no—
1857C42—24no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
1861C42—42no—
1862C42—42no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C42—41no—
1867C42—41no—
1868C42—42no—
1869C42—42no—
1870C42—42no—
1871C42—42no—
1872C42—42no—
1873C42—42no—
1874C42—42no—
1875C42—42no—
1876C42—42no—
1877C23—22no—
1878C23—22no—
1879C23—21no—
1880C23—22no—
1881C23—22no—
1882C23—22no—
1883C23—21no—
1884C23—22no—
1885C23—22no—
1886C23—22no—
1887C23—22no—
1888C23—22no—
1889C23—22no—
1890C23—22no—
1891C23—22no—
1892C23—22no—
1893C23—22no—
1894C23C2×H(5,𝔽2)12yes—
1895C23C2×2−1+414yes—
1896C23C2611yescharacteristic
1897Q8—44no—
1898Q8—48no—
1899Q8—44no—
1900Q8—84no—
1901Q8—82no—
1902Q8—82no—
1903Q8—84no—
1904Q8—82no—
1905Q8—82no—
1906Q8—162no—
1907D4—44no—
1908D4—48no—
1909D4—82no—
1910D4—84no—
1911D4—84no—
1912D4—84no—
1913C2×C4—28no—
1914C2×C4—21no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—21no—
1918C2×C4—21no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—21no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—21no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—21no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—44no—
2001C2×C4—48no—
2002C2×C4—48no—
2003C2×C4—48no—
2004C2×C4—44no—
2005C2×C4—84no—
2006C2×C4—84no—
2007C2×C4—84no—
2008C2×C4—84no—
2009C2×C4—84no—
2010C2×C4—84no—
2011C2×C4—162no—
2012C2×C4—162no—
2013C2×C4—162no—
2014C2×C4C2×H(5,𝔽2)14yes—
2015C2×C4C2×H(5,𝔽2)12yes—
2016C2×C4C2×H(5,𝔽2)14yes—
2017C2×C4C2×2−1+414yes—
2018C2×C4C2×2−1+414yes—
2019C2×C4#58512yes—
2020C22—24no—
2021C22—22no—
2022C22—24no—
2023C22—24no—
2024C22—24no—
2025C22—41no—
2026C22—41no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22—42no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22C22×H(5,𝔽2)11yescharacteristic
2040C22C22×H(5,𝔽2)11yescharacteristic
2041C22C22×2−1+412yes—
2042C22C2×#58511yescharacteristic
2043C222−1+612yes—
2044C4—24no—
2045C4—22no—
2046C4—22no—
2047C4—24no—
2048C4—24no—
2049C4—24no—
2050C4—41no—
2051C4—42no—
2052C4—41no—
2053C4—41no—
2054C4—42no—
2055C4—42no—
2056C4—42no—
2057C4—41no—
2058C4—42no—
2059C4—42no—
2060C4—42no—
2061C4—42no—
2062C4—42no—
2063C4—42no—
2064C4—42no—
2065C4—42no—
2066C4—42no—
2067C4—42no—
2068C4—42no—
2069C4—42no—
2070C4—42no—
2071C4—42no—
2072C4—42no—
2073C4—42no—
2074C4—42no—
2075C4—42no—
2076C2—44no—
2077C2—42no—
2078C2—82no—
2079C2#6281811yescharacteristic
2080C2#6291512yes—
2081C2#6295012yes—
2082C2#6301611yescharacteristic
2083C2#6304411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#52071C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59989C2semidirect
2. #58913C2semidirect
3. #58910C2semidirect
4. #58619C2semidirect
5. #56781C2semidirect
6. #55364C2semidirect
7. #54125C2semidirect
8. #52600C2semidirect
10. #52015C2semidirect
11. #51542C2semidirect
12. #51020C2semidirect
13. #50860C2semidirect
14. #50038C2semidirect
15. #47660C2semidirect
16. #47171C2semidirect
17. #46758C2semidirect
18. #46440C2semidirect
19. #46363C2semidirect
20. #45759C2semidirect
21. #44602C2semidirect
22. #44575C2semidirect
23. #44440C2semidirect
24. #44042C2semidirect
25. #43909C2semidirect
26. #43865C2semidirect
27. #43133C2semidirect
28. #42972C2semidirect
29. #42610C2semidirect
30. #41852C2semidirect
31. #40726C2semidirect
32. #38644C2semidirect
33. #37686C2semidirect
34. #35997C2semidirect
35. #35667C2semidirect

Maximal subgroups

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

subgroupindex
#599892
#589132
#589102
#586192
#567812
#553642
#541252
#526002
#520712
#520152
#515422
#510202
#508602
#500382
#476602
#471712
#467582
#464402
#463632
#457592
#446022
#445752
#444402
#440422
#439092
#438652
#431332
#429722
#426102
#418522
#407262
#386442
#376862
#359972
#356672