Finite Group Databasebeta

← #8904422

Subgroups — #8904422

Order 512.

4520 conjugacy classes of subgroups.

The subgroup lattice has 2104 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59249C211yesmaximal, characteristic, complemented
2#59113C212yesmaximal, complemented
3#58969C212yesmaximal, complemented
4#57680C212yesmaximal, complemented
5#56783C212yesmaximal, complemented
6#56617C212yesmaximal, complemented
7#55865C212yesmaximal, complemented
8#54326C212yesmaximal, complemented
9#51660C212yesmaximal, complemented
10#51080C212yesmaximal, complemented
11#50777C212yesmaximal, complemented
12#50572C212yesmaximal, complemented
13#50532C212yesmaximal, complemented
14#49568C212yesmaximal, complemented
15#48786C212yesmaximal, complemented
16#48542C212yesmaximal, complemented
17#48527C212yesmaximal, complemented
18#48312C212yesmaximal, complemented
19#47875C212yesmaximal, complemented
20#47864C212yesmaximal, complemented
21#46608C212yesmaximal, complemented
22#46568C212yesmaximal, complemented
23#46441C212yesmaximal, complemented
24#46230C211yesmaximal, characteristic, complemented
25#46200C212yesmaximal, complemented
26#40411C212yesmaximal, complemented
27#40284C212yesmaximal, complemented
28#39677C211yesmaximal, characteristic, complemented
29#39590C212yesmaximal, complemented
30#39421C211yesmaximal, characteristic, complemented
31#38800C211yesmaximal, characteristic, complemented
32#38762C211yesmaximal, characteristic
33#37757C212yesmaximal, complemented
34#35575C211yesmaximal, characteristic, complemented
35#35363C212yesmaximal, complemented
36C2×#563C2212yes—
37C2×#554C2212yes—
38C2×#544C2211yescharacteristic
39C2×#544C2211yescharacteristic
40C2×#539C2212yes—
41C2×#539C2211yescharacteristic
42C2×#533C2212yes—
43C2×#520C2211yescharacteristic
44#2851C2212yes—
45#2851C2212yes—
46#2851C2211yescharacteristic
47#2850C2211yescharacteristic
48#2844C2211yescharacteristic
49#2841C2212yes—
50#2839C2212yes—
51#2839C2212yes—
52#2836C2212yes—
53#2835C2212yes—
54#2833C2212yes—
55#2831C2212yes—
56#2820C2211yescharacteristic
57#2810C2212yes—
58#2806C2212yes—
59#2806C2212yes—
60#2806C2212yes—
61#2806C2211yescharacteristic
62#2806C2211yescharacteristic
63#2805C2212yes—
64#2805C2211yescharacteristic
65#2804C2211yescharacteristic
66#2804C2211yescharacteristic
67#2802C2212yes—
68#2802C2212yes—
69#2802C2212yes—
70#2802C2212yes—
71#2802C2212yes—
72#2798C2212yes—
73#2798C2212yes—
74#2794C2212yes—
75#2793C2212yes—
76#2791C2212yes—
77#2788C2212yes—
78#2787C2212yes—
79#2782C2212yes—
80#2774C2212yes—
81#2771C2212yes—
82#2770C2212yes—
83#2768C2212yes—
84#2767C2212yes—
85#2767C2212yes—
86#2767C2212yes—
87#2765C2212yes—
88#2765C2212yes—
89#2763C2212yes—
90#2763C2212yes—
91#2759C2212yes—
92#2755C2212yes—
93#2755C2212yes—
94#2755C2212yes—
95#2754C2212yes—
96#2751C2212yes—
97#2746C2212yes—
98#2745C2212yes—
99#2745C2212yes—
100#2745C2212yes—
101#2741C2212yes—
102#2740C2212yes—
103#2739C2212yes—
104#2734C2212yes—
105#2732C2212yes—
106#2732C2211yescharacteristic
107#2729C2212yes—
108#2729C2212yes—
109#2729C2212yes—
110#2729C2212yes—
111#2729C2212yes—
112#2728C2212yes—
113#2728C2212yes—
114#2728C2212yes—
115#2726C2212yes—
116#2726C2212yes—
117#2726C2212yes—
118#2726C2212yes—
119#2726C2212yes—
120#2726C2212yes—
121#2726C2212yes—
122#2725C2212yes—
123#2725C2212yes—
124#2725C2212yes—
125#2725C2212yes—
126#2724C2211yescharacteristic
127#2723C2212yes—
128#2722C2212yes—
129#2722C2212yes—
130#2721C2212yes—
131#2720C2212yes—
132#2720C2212yes—
133#2720C2212yes—
134#2719C2212yes—
135#2719C2212yes—
136#2719C2212yes—
137#2719C2212yes—
138#2719C2212yes—
139#2717C2212yes—
140#2716C2212yes—
141#2713C2212yes—
142#2713C2212yes—
143#2713C2212yes—
144#2713C2212yes—
145#2708C2212yes—
146#2705C2212yes—
147#2704C2212yes—
148#2702C2212yes—
149#2701C2212yes—
150#2698C2212yes—
151#2698C2212yes—
152#2698C2212yes—
153#2696C2212yes—
154#2695C2212yes—
155#2695C2212yes—
156#2695C2212yes—
157#2694C2212yes—
158#2694C2212yes—
159#2694C2212yes—
160#2692C2212yes—
161#2692C2212yes—
162#2691C2212yes—
163#2690C2212yes—
164#2690C2212yes—
165#2689C2212yes—
166#2689C2212yes—
167#2687C2212yes—
168#2687C2212yes—
169#2687C2212yes—
170#2682C2211yescharacteristic
171#2680C2212yes—
172#2677C2212yes—
173#2677C2212yes—
174#2674C2212yes—
175#2674C2212yes—
176#2672C2212yes—
177#2667C2212yes—
178#2666C2212yes—
179#2666C2212yes—
180#2663C2212yes—
181#2659C2211yescharacteristic
182#2655C2212yes—
183#2655C2212yes—
184#2654C2212yes—
185#2652C2212yes—
186#2650C2212yes—
187#2649C2212yes—
188#2646C2211yescharacteristic
189#2642C2212yes—
190#2630C2212yes—
191#2629C2212yes—
192#2628C2212yes—
193#2627C2211yescharacteristic
194#2623C2212yes—
195#2621C2212yes—
196#2618C2211yescharacteristic
197#2611C2212yes—
198#2608C2212yes—
199#2607C2212yes—
200#2604C2212yes—
201#2602C2212yes—
202#2601C2212yes—
203#2600C2212yes—
204#2597C2212yes—
205#2596C2212yes—
206#2595C2212yes—
207#2595C2212yes—
208#2590C2212yes—
209#2589C2212yes—
210#2589C2212yes—
211#2586C2212yes—
212#2586C2212yes—
213#2584C2212yes—
214#2584C2212yes—
215#2584C2212yes—
216#2583C2212yes—
217#2582C2211yescharacteristic
218#2580C2212yes—
219#2580C2212yes—
220#2578C2212yes—
221#2575C2212yes—
222#2575C2212yes—
223#2569C2212yes—
224#2569C2212yes—
225#2564C2212yes—
226#2564C2212yes—
227#2558C2212yes—
228#2558C2212yes—
229#2557C2212yes—
230#2557C2212yes—
231#2556C2212yes—
232#2556C2212yes—
233#2556C2212yes—
234#2556C2212yes—
235#2553C2212yes—
236#2553C2212yes—
237#2553C2212yes—
238#2552C2211yescharacteristic
239#2551C2212yes—
240#2550C2212yes—
241#2550C2212yes—
242#2550C2212yes—
243#2546C2212yes—
244#2538C2212yes—
245#2528C2212yes—
246#2527C2212yes—
247#2522C2212yes—
248#2519C2212yes—
249#2519C2212yes—
250#2519C2212yes—
251#2519C2212yes—
252#2515C2212yes—
253#2511C2212yes—
254#2509C2212yes—
255#2506C2212yes—
256#2505C2212yes—
257#2505C2212yes—
258#2502C2212yes—
259#2496C2212yes—
260#2496C2212yes—
261#2492C2212yes—
262#2489C2212yes—
263#2489C2212yes—
264#2488C2212yes—
265#2486C2212yes—
266#2478C2212yes—
267#2478C2212yes—
268#2478C2212yes—
269#2477C2212yes—
270#2477C2212yes—
271#2475C2212yes—
272#2475C2212yes—
273#2474C2212yes—
274#2473C2212yes—
275#2473C2212yes—
276#2473C2212yes—
277#2473C2212yes—
278#2473C2212yes—
279#2473C2212yes—
280#2473C2212yes—
281#2473C2212yes—
282#2473C2212yes—
283#2470C2212yes—
284#2470C2212yes—
285#2468C2212yes—
286#2467C2212yes—
287#2466C2212yes—
288#2466C2212yes—
289#2465C2212yes—
290#2464C2212yes—
291#2462C2212yes—
292#2462C2212yes—
293#2462C2212yes—
294#2460C2212yes—
295#2458C2212yes—
296#2457C2212yes—
297#2455C2212yes—
298#2454C2212yes—
299#2453C2212yes—
300#2453C2212yes—
301#2453C2212yes—
302#2452C2212yes—
303#2452C2212yes—
304#2451C2212yes—
305#2451C2212yes—
306#2451C2212yes—
307#2449C2212yes—
308#2449C2212yes—
309#2449C2212yes—
310#2449C2212yes—
311#2449C2212yes—
312#2446C2212yes—
313#2446C2212yes—
314#2443C2212yes—
315#2442C2212yes—
316#2442C2212yes—
317#2441C2212yes—
318#2440C2212yes—
319#2440C2212yes—
320#2440C2212yes—
321#2439C2212yes—
322#2438C2212yes—
323#2438C2212yes—
324#2438C2212yes—
325#2430C2212yes—
326#2429C2212yes—
327#2429C2212yes—
328#2429C2212yes—
329#2427C2212yes—
330#2425C2212yes—
331#2423C2212yes—
332#2421C2212yes—
333#2421C2212yes—
334#2419C2212yes—
335#2417C2212yes—
336#2417C2212yes—
337#2417C2212yes—
338#2415C2212yes—
339#2413C2212yes—
340#2413C2212yes—
341#2406C2212yes—
342#2382C2212yes—
343#2382C2211yescharacteristic
344#2382C2212yes—
345#2379C2211yescharacteristic
346#2378C2212yes—
347#2370C2212yes—
348#2362C2212yes—
349#2360C2212yes—
350#2360C2212yes—
351#2360C2212yes—
352#2359C2212yes—
353#2359C2212yes—
354#2359C2212yes—
355#2355C2211yescharacteristic
356#2355C2212yes—
357Q8×C4⋊C4C2211yescharacteristic
358#2336C2212yes—
359#2335C2212yes—
360#2335C2212yes—
361#2331C2212yes—
362#2329C2211yescharacteristic
363#2329C2211yescharacteristic
364#2324C2212yes—
365#2324C2212yes—
366#2322C2212yes—
367#2322C2212yes—
368#2316C2211yescharacteristic
369#2311C2211yescharacteristic
370C4×C22⋊Q8C2211yescharacteristic
371C4×C22⋊Q8C2211yescharacteristic
372C4×#123C2212yes—
373C4×#121C2212yes—
374#2297C2211yescharacteristic
375C2×#389C2212yes—
376C2×#389C2211yescharacteristic
377#2290C2212yes—
378#2285C2211yescharacteristic
379C22×#41C2311yescharacteristic
380#563—48no—
381#554—48no—
382#544—44no—
383#544—44no—
384#539—48no—
385#539—44no—
386#533—48no—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#125C2312yes—
403C2×#125C2311yescharacteristic
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#124C2311yescharacteristic
419C2×#124C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2311yescharacteristic
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2311yescharacteristic
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×#121C2312yes—
452C2×#121C2311yescharacteristic
453C2×#121C2312yes—
454#520—44no—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×#117C2311yescharacteristic
471C2×#117C2311yescharacteristic
472C2×#117C2311yescharacteristic
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C22×C4⋊C4C2311yescharacteristic
478C22×C4⋊C4C2311yescharacteristic
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2311yescharacteristic
485C22×C4⋊C4C2312yes—
486C22×C42C2311yescharacteristic
487C22×C42C2312yes—
488#401C2312yes—
489#401C2312yes—
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#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#400C2312yes—
534#400C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
545#399C2312yes—
546#399C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
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#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
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#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#392C2312yes—
703#392C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2311yescharacteristic
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2311yescharacteristic
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2311yescharacteristic
728#391C2311yescharacteristic
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2311yescharacteristic
735#390C2312yes—
736#390C2311yescharacteristic
737#390C2312yes—
738#390C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2312yes—
742#390C2311yescharacteristic
743#390C2311yescharacteristic
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#389C2311yescharacteristic
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#389C2311yescharacteristic
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#389C2311yescharacteristic
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#389C2312yes—
815#389C2311yescharacteristic
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#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#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
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#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#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#384C2311yescharacteristic
1017#384C2311yescharacteristic
1018#384C2312yes—
1019#384C2312yes—
1020#384C2312yes—
1021#383C2312yes—
1022#382C2311yescharacteristic
1023#382C2311yescharacteristic
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2311yescharacteristic
1028#382C2312yes—
1029#382C2311yescharacteristic
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2311yescharacteristic
1058#380C2312yes—
1059#380C2312yes—
1060#380C2311yescharacteristic
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
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⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊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—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101#376C2312yes—
1102C2×#95C2311yescharacteristic
1103C2×#95C2311yescharacteristic
1104C2×#95C2312yes—
1105C2×#95C2312yes—
1106C2×#41—24no—
1107C2×#41—42no—
1108C2×#41—42no—
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2412yes—
1115C22×Q8C2412yes—
1116C22×Q8C2411yescharacteristic
1117C22×Q8C2411yescharacteristic
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C22×D4C2411yescharacteristic
1124C23×C4C2411yescharacteristic
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2412yes—
1137C23×C4C2411yescharacteristic
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2411yescharacteristic
1141C4⋊Q8—28no—
1142C4⋊Q8—44no—
1143C4⋊Q8—44no—
1144C4⋊Q8—44no—
1145C4⋊Q8—44no—
1146C4⋊Q8—44no—
1147C4⋊Q8—44no—
1148C4⋊Q8—44no—
1149#126—44no—
1150#126—44no—
1151#126—44no—
1152#126—44no—
1153#126—44no—
1154#126—44no—
1155#126—44no—
1156#125—28no—
1157#125—42no—
1158#125—44no—
1159#125—44no—
1160#125—44no—
1161#125—44no—
1162#125—44no—
1163#125—44no—
1164#125—44no—
1165#125—44no—
1166#125—44no—
1167#125—44no—
1168#125—44no—
1169#125—44no—
1170#125—44no—
1171#125—44no—
1172#124—42no—
1173#124—44no—
1174#123—28no—
1175#123—28no—
1176#123—28no—
1177#123—44no—
1178#123—44no—
1179#123—44no—
1180#123—44no—
1181#123—44no—
1182#123—44no—
1183#123—44no—
1184C22⋊Q8—28no—
1185C22⋊Q8—24no—
1186C22⋊Q8—28no—
1187C22⋊Q8—28no—
1188C22⋊Q8—28no—
1189C22⋊Q8—24no—
1190C22⋊Q8—44no—
1191C22⋊Q8—44no—
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—42no—
1204C22⋊Q8—44no—
1205#121—28no—
1206#121—42no—
1207#121—44no—
1208C4×Q8—28no—
1209C4×Q8—42no—
1210C4×Q8—42no—
1211C4×Q8—44no—
1212C4×Q8—44no—
1213C4×Q8—44no—
1214C4×Q8—44no—
1215C4×D4—28no—
1216C4×D4—44no—
1217C4×D4—44no—
1218C4×D4—44no—
1219C4×D4—44no—
1220C4×D4—44no—
1221C4×D4—44no—
1222C4×D4—44no—
1223#117—44no—
1224#117—44no—
1225#117—44no—
1226#117—44no—
1227#117—42no—
1228#117—42no—
1229#117—42no—
1230C2×C4⋊C4—24no—
1231C2×C4⋊C4—44no—
1232C2×C4⋊C4—42no—
1233C2×C4⋊C4—44no—
1234C2×C4⋊C4—42no—
1235C2×C4⋊C4—44no—
1236C2×C4⋊C4—42no—
1237C2×C4⋊C4—44no—
1238C2×C4⋊C4—44no—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2411yescharacteristic
1348C2×C4⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2411yescharacteristic
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C42—44no—
1409C2×C42—42no—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2411yescharacteristic
1416C2×C42C2411yescharacteristic
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2411yescharacteristic
1438C2×C42C2411yescharacteristic
1439C2×C42C2412yes—
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—
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—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552C24C2512yes—
1553C24C2511yescharacteristic
1554C24C2512yes—
1555#41—416no—
1556C2×Q8—24no—
1557C2×Q8—24no—
1558C2×Q8—24no—
1559C2×Q8—22no—
1560C2×Q8—22no—
1561C2×Q8—41no—
1562C2×Q8—41no—
1563C2×Q8—41no—
1564C2×Q8—41no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—41no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—42no—
1571C2×Q8—42no—
1572C2×Q8—41no—
1573C2×Q8—42no—
1574C2×Q8—42no—
1575C2×Q8—42no—
1576C2×Q8—41no—
1577C2×Q8—42no—
1578C2×Q8—41no—
1579C2×Q8—41no—
1580C2×Q8—42no—
1581C2×Q8—42no—
1582C2×Q8H(5,𝔽2)14yes—
1583C2×D4—24no—
1584C2×D4—24no—
1585C2×D4—24no—
1586C2×D4—24no—
1587C2×D4—24no—
1588C2×D4—24no—
1589C2×D4—42no—
1590C2×D4—41no—
1591C2×D4—41no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—41no—
1598C2×D4—41no—
1599C2×D4—41no—
1600C2×D42−1+414yes—
1601C22×C4—22no—
1602C22×C4—22no—
1603C22×C4—22no—
1604C22×C4—24no—
1605C22×C4—24no—
1606C22×C4—22no—
1607C22×C4—24no—
1608C22×C4—24no—
1609C22×C4—24no—
1610C22×C4—24no—
1611C22×C4—24no—
1612C22×C4—22no—
1613C22×C4—24no—
1614C22×C4—22no—
1615C22×C4—42no—
1616C22×C4—41no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—41no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—41no—
1623C22×C4—41no—
1624C22×C4—42no—
1625C22×C4—41no—
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—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—41no—
1641C22×C4—41no—
1642C22×C4—41no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—41no—
1646C22×C4—42no—
1647C22×C4—41no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4H(5,𝔽2)14yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2511yescharacteristic
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2511yescharacteristic
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2511yescharacteristic
1679C22×C4C2512yes—
1680C22×C4C2511yescharacteristic
1681C22×C4C2512yes—
1682C22×C4C2511yescharacteristic
1683C22×C4C2511yescharacteristic
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—22no—
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—24no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—41no—
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—41no—
1739C4⋊C4—42no—
1740C4⋊C4—41no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—41no—
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—41no—
1754C4⋊C4—41no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—41no—
1758C4⋊C4—41no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—41no—
1763C4⋊C4—41no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—41no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—41no—
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—41no—
1791C4⋊C4—41no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C42−1+414yes—
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—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C42—24no—
1854C42—24no—
1855C42—24no—
1856C42—24no—
1857C42—24no—
1858C42—24no—
1859C42—22no—
1860C42—22no—
1861C42—41no—
1862C42—41no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C42—42no—
1867C42—42no—
1868C42—42no—
1869C42—42no—
1870C42—42no—
1871C42—42no—
1872C42—42no—
1873C42—42no—
1874C42—42no—
1875C42—42no—
1876C42—42no—
1877C42—42no—
1878C42—42no—
1879C42—42no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C23—22no—
1884C23—21no—
1885C23—22no—
1886C23—21no—
1887C23—22no—
1888C23—21no—
1889C23—22no—
1890C23—21no—
1891C23—22no—
1892C23—22no—
1893C23—21no—
1894C23—21no—
1895C23—22no—
1896C23—22no—
1897C23—22no—
1898C23—22no—
1899C23—22no—
1900C23—22no—
1901C23—22no—
1902C23C2×H(5,𝔽2)12yes—
1903C23C2×2−1+414yes—
1904C23C2611yescharacteristic
1905Q8—44no—
1906Q8—44no—
1907Q8—84no—
1908Q8—84no—
1909Q8—84no—
1910Q8—82no—
1911Q8—162no—
1912Q8—162no—
1913Q8—161no—
1914D4—44no—
1915D4—48no—
1916D4—48no—
1917D4—84no—
1918D4—84no—
1919D4—161no—
1920C2×C4—28no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—22no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—21no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
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—21no—
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—21no—
1978C2×C4—22no—
1979C2×C4—21no—
1980C2×C4—21no—
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—21no—
1999C2×C4—22no—
2000C2×C4—21no—
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—44no—
2011C2×C4—48no—
2012C2×C4—48no—
2013C2×C4—48no—
2014C2×C4—84no—
2015C2×C4—84no—
2016C2×C4—82no—
2017C2×C4—82no—
2018C2×C4—84no—
2019C2×C4—82no—
2020C2×C4—162no—
2021C2×C4—162no—
2022C2×C4—162no—
2023C2×C4—162no—
2024C2×C4—161no—
2025C2×C4—161no—
2026C2×C4C2×H(5,𝔽2)14yes—
2027C2×C4C2×H(5,𝔽2)12yes—
2028C2×C4C2×H(5,𝔽2)14yes—
2029C2×C4C2×2−1+412yes—
2030C2×C4C2×2−1+414yes—
2031C2×C4C2×2−1+412yes—
2032C2×C4#58512yes—
2033C22—24no—
2034C22—24no—
2035C22—22no—
2036C22—24no—
2037C22—22no—
2038C22—22no—
2039C22—41no—
2040C22—41no—
2041C22—42no—
2042C22—42no—
2043C22—41no—
2044C22—41no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22C22×H(5,𝔽2)11yescharacteristic
2055C22C22×H(5,𝔽2)11yescharacteristic
2056C22C22×2−1+411yescharacteristic
2057C22C22×2−1+411yescharacteristic
2058C22C2×#58511yescharacteristic
2059C222−1+611yescharacteristic
2060C222−1+611yescharacteristic
2061C4—24no—
2062C4—22no—
2063C4—22no—
2064C4—24no—
2065C4—24no—
2066C4—22no—
2067C4—22no—
2068C4—42no—
2069C4—42no—
2070C4—42no—
2071C4—42no—
2072C4—42no—
2073C4—42no—
2074C4—42no—
2075C4—42no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C4—41no—
2085C4—42no—
2086C4—42no—
2087C4—41no—
2088C4—42no—
2089C4—42no—
2090C4—42no—
2091C4—42no—
2092C4—42no—
2093C2—44no—
2094C2—42no—
2095C2—82no—
2096C2#6281911yescharacteristic
2097C2#6289511yescharacteristic
2098C2#6290111yescharacteristic
2099C2#6293211yescharacteristic
2100C2#6294611yescharacteristic
2101C2#6301611yescharacteristic
2102C2#6306711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38762C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59249C2semidirect
2. #59113C2semidirect
3. #58969C2semidirect
4. #57680C2semidirect
5. #56783C2semidirect
6. #56617C2semidirect
7. #55865C2semidirect
8. #54326C2semidirect
9. #51660C2semidirect
10. #51080C2semidirect
11. #50777C2semidirect
12. #50572C2semidirect
13. #50532C2semidirect
14. #49568C2semidirect
15. #48786C2semidirect
16. #48542C2semidirect
17. #48527C2semidirect
18. #48312C2semidirect
19. #47875C2semidirect
20. #47864C2semidirect
21. #46608C2semidirect
22. #46568C2semidirect
23. #46441C2semidirect
24. #46230C2semidirect
25. #46200C2semidirect
26. #40411C2semidirect
27. #40284C2semidirect
28. #39677C2semidirect
29. #39590C2semidirect
30. #39421C2semidirect
31. #38800C2semidirect
33. #37757C2semidirect
34. #35575C2semidirect
35. #35363C2semidirect

Maximal subgroups

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

subgroupindex
#592492
#591132
#589692
#576802
#567832
#566172
#558652
#543262
#516602
#510802
#507772
#505722
#505322
#495682
#487862
#485422
#485272
#483122
#478752
#478642
#466082
#465682
#464412
#462302
#462002
#404112
#402842
#396772
#395902
#394212
#388002
#387622
#377572
#355752
#353632