Finite Group Databasebeta

← #9243773

Subgroups — #9243773

Order 512.

4135 conjugacy classes of subgroups.

The subgroup lattice has 2055 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59256C211yesmaximal, characteristic, complemented
2#58911C212yesmaximal, complemented
3#58881C212yesmaximal, complemented
4#57930C212yesmaximal, complemented
5#57229C212yesmaximal, complemented
6#57109C212yesmaximal, complemented
7#56781C212yesmaximal, complemented
8#55786C212yesmaximal, complemented
9#55368C212yesmaximal, complemented
10#55301C212yesmaximal, complemented
11#54969C212yesmaximal, complemented
12#53922C212yesmaximal, complemented
13#53584C212yesmaximal, complemented
14#52727C212yesmaximal, complemented
15#51555C212yesmaximal, complemented
16#50783C212yesmaximal, complemented
17#50585C212yesmaximal, complemented
18#50532C212yesmaximal, complemented
19#49610C212yesmaximal, complemented
20#48886C212yesmaximal, complemented
21#48778C212yesmaximal, complemented
22#48127C212yesmaximal, complemented
23#47822C212yesmaximal, complemented
24#47147C212yesmaximal, complemented
25#45795C211yesmaximal, characteristic, complemented
26#45326C212yesmaximal, complemented
27#42312C212yesmaximal, complemented
28#42006C212yesmaximal, complemented
29#41609C212yesmaximal
30#41333C212yesmaximal, complemented
31#39710C211yesmaximal, characteristic, complemented
32#39479C211yesmaximal, characteristic, complemented
33#39364C211yesmaximal, characteristic, complemented
34#37885C211yesmaximal, characteristic, complemented
35#37461C211yesmaximal, characteristic
36C2×#556C2212yes—
37C2×#544C2211yescharacteristic
38C2×#543C2211yescharacteristic
39C2×#541C2212yescomplemented
40#2857C2211yescharacteristic
41#2855C2211yescharacteristic
42#2845C2212yescomplemented
43#2841C2212yes—
44#2839C2212yescomplemented
45#2838C2212yes—
46#2838C2212yescomplemented
47#2838C2212yescomplemented
48#2837C2212yes—
49#2837C2212yes—
50#2836C2212yes—
51#2836C2212yes—
52#2833C2212yescomplemented
53#2833C2212yescomplemented
54#2832C2212yes—
55#2831C2212yescomplemented
56#2830C2212yes—
57#2822C2212yescomplemented
58#2821C2212yescomplemented
59#2820C2212yes—
60#2814C2212yes—
61#2811C2211yescharacteristic, complemented
62#2809C2212yescomplemented
63#2806C2211yescharacteristic, complemented
64#2806C2211yescharacteristic, complemented
65#2806C2211yescharacteristic, complemented
66#2805C2211yescharacteristic, complemented
67#2805C2212yescomplemented
68#2802C2212yescomplemented
69#2801C2212yes—
70#2798C2212yes—
71#2798C2212yes—
72#2798C2212yes—
73#2798C2212yescomplemented
74#2796C2212yes—
75#2795C2212yes—
76#2793C2212yes—
77#2792C2212yescomplemented
78#2792C2212yescomplemented
79#2792C2212yescomplemented
80#2790C2212yes—
81#2788C2212yescomplemented
82#2788C2212yescomplemented
83#2783C2212yes—
84#2783C2212yes—
85#2781C2212yes—
86#2780C2212yes—
87#2774C2212yescomplemented
88#2774C2212yescomplemented
89#2773C2212yes—
90#2773C2212yes—
91#2773C2212yescomplemented
92#2772C2212yes—
93#2772C2212yescomplemented
94#2771C2212yes—
95#2770C2212yes—
96#2770C2212yes—
97#2768C2212yes—
98#2767C2212yescomplemented
99#2767C2212yescomplemented
100#2767C2212yescomplemented
101#2765C2212yes—
102#2765C2212yes—
103#2765C2212yescomplemented
104#2759C2212yes—
105#2759C2212yes—
106#2759C2212yescomplemented
107#2758C2212yescomplemented
108#2758C2212yescomplemented
109#2755C2212yescomplemented
110#2754C2212yes—
111#2754C2212yescomplemented
112#2754C2212yescomplemented
113#2754C2212yescomplemented
114#2753C2212yes—
115#2751C2212yes—
116#2750C2212yes—
117#2747C2212yescomplemented
118#2747C2212yescomplemented
119#2746C2212yes—
120#2745C2212yescomplemented
121#2744C2212yes—
122#2742C2212yes—
123#2742C2212yes—
124#2741C2212yes—
125#2737C2212yescomplemented
126#2735C2212yes—
127#2735C2212yes—
128#2734C2212yescomplemented
129#2732C2212yes—
130#2732C2212yes—
131#2732C2211yescharacteristic, complemented
132#2732C2211yescharacteristic, complemented
133#2729C2212yes—
134#2729C2212yescomplemented
135#2729C2212yescomplemented
136#2728C2212yes—
137#2726C2212yescomplemented
138#2726C2212yescomplemented
139#2726C2211yescharacteristic, complemented
140#2726C2212yescomplemented
141#2725C2212yes—
142#2725C2212yes—
143#2725C2212yes—
144#2725C2212yescomplemented
145#2723C2212yes—
146#2723C2212yes—
147#2723C2212yes—
148#2723C2212yescomplemented
149#2722C2212yescomplemented
150#2722C2212yescomplemented
151#2721C2212yes—
152#2721C2212yes—
153#2721C2212yes—
154#2721C2212yes—
155#2721C2212yescomplemented
156#2721C2212yescomplemented
157#2720C2212yes—
158#2720C2212yes—
159#2720C2212yes—
160#2719C2212yescomplemented
161#2719C2212yescomplemented
162#2716C2212yescomplemented
163#2715C2212yes—
164#2715C2212yes—
165#2713C2212yescomplemented
166#2713C2212yescomplemented
167#2713C2212yescomplemented
168#2713C2212yescomplemented
169#2706C2212yes—
170#2704C2212yes—
171#2704C2212yes—
172#2704C2212yes—
173#2704C2212yes—
174#2704C2212yescomplemented
175#2702C2212yes—
176#2702C2212yes—
177#2702C2212yes—
178#2698C2212yes—
179#2698C2212yes—
180#2698C2212yes—
181#2697C2212yes—
182#2694C2212yes—
183#2694C2212yes—
184#2690C2212yes—
185#2687C2212yes—
186#2687C2212yes—
187#2685C2212yes—
188#2677C2212yes—
189#2677C2212yes—
190#2677C2212yes—
191#2674C2212yes—
192#2674C2212yes—
193#2667C2212yes—
194#2667C2212yes—
195#2666C2212yescomplemented
196#2664C2212yes—
197#2663C2212yes—
198#2662C2212yes—
199#2660C2212yescomplemented
200#2660C2212yescomplemented
201#2659C2211yescharacteristic
202#2655C2212yescomplemented
203#2655C2212yescomplemented
204#2654C2212yes—
205#2653C2212yes—
206#2651C2212yes—
207#2650C2212yes—
208#2650C2212yes—
209#2649C2212yes—
210#2646C2211yescharacteristic
211#2639C2211yescharacteristic
212#2638C2212yes—
213#2637C2212yescomplemented
214#2633C2212yes—
215#2632C2212yes—
216#2630C2212yes—
217#2628C2212yescomplemented
218#2627C2211yescharacteristic
219#2626C2211yescharacteristic
220#2626C2211yescharacteristic
221#2626C2211yescharacteristic
222#2625C2212yes—
223#2624C2212yes—
224#2617C2211yescharacteristic
225#2612C2212yescomplemented
226#2611C2212yes—
227#2611C2212yescomplemented
228#2611C2212yescomplemented
229#2610C2212yes—
230#2609C2212yes—
231#2607C2212yescomplemented
232#2606C2212yescomplemented
233#2603C2212yes—
234#2599C2212yescomplemented
235#2597C2212yes—
236#2596C2212yes—
237#2594C2212yes—
238#2590C2212yescomplemented
239#2590C2212yescomplemented
240#2589C2212yes—
241#2589C2212yescomplemented
242#2588C2212yescomplemented
243#2588C2212yescomplemented
244#2587C2212yes—
245#2587C2212yescomplemented
246#2584C2212yescomplemented
247#2582C2211yescharacteristic, complemented
248#2579C2212yescomplemented
249#2578C2212yes—
250#2574C2212yes—
251#2573C2212yes—
252#2571C2211yescharacteristic, complemented
253#2570C2212yescomplemented
254#2563C2211yescharacteristic, complemented
255#2562C2212yes—
256#2560C2212yes—
257#2558C2212yes—
258#2556C2212yes—
259#2556C2212yes—
260#2556C2212yes—
261#2556C2212yes—
262#2556C2212yescomplemented
263#2553C2212yes—
264#2552C2211yescharacteristic, complemented
265#2550C2212yescomplemented
266#2550C2212yescomplemented
267#2549C2212yes—
268#2534C2212yes—
269#2533C2212yescomplemented
270#2532C2212yes—
271#2531C2212yescomplemented
272#2530C2212yes—
273#2529C2212yes—
274#2529C2212yes—
275#2529C2212yes—
276#2528C2212yescomplemented
277#2528C2212yescomplemented
278#2528C2212yescomplemented
279#2527C2212yes—
280#2525C2212yes—
281#2525C2212yes—
282#2522C2212yescomplemented
283#2521C2212yes—
284#2521C2212yes—
285#2520C2212yescomplemented
286#2519C2212yes—
287#2519C2212yes—
288#2519C2212yescomplemented
289#2519C2212yescomplemented
290#2517C2212yes—
291#2516C2212yes—
292#2514C2212yescomplemented
293#2512C2212yes—
294#2512C2212yescomplemented
295#2509C2212yescomplemented
296#2508C2212yescomplemented
297#2507C2212yescomplemented
298#2506C2212yescomplemented
299#2499C2212yes—
300#2499C2212yescomplemented
301#2496C2212yescomplemented
302#2496C2212yescomplemented
303#2494C2212yes—
304#2492C2212yes—
305#2492C2212yescomplemented
306#2485C2212yes—
307#2482C2212yes—
308#2482C2212yes—
309#2481C2212yes—
310#2480C2212yes—
311#2480C2212yes—
312#2479C2212yes—
313#2479C2212yes—
314#2479C2212yescomplemented
315#2477C2212yes—
316#2477C2212yes—
317#2475C2212yes—
318#2475C2212yes—
319#2475C2212yescomplemented
320#2473C2212yes—
321#2473C2212yescomplemented
322#2472C2212yes—
323#2472C2212yes—
324#2470C2212yes—
325#2465C2212yes—
326#2465C2212yes—
327#2462C2212yescomplemented
328#2462C2212yescomplemented
329#2458C2212yes—
330#2454C2212yes—
331#2453C2212yescomplemented
332#2453C2212yescomplemented
333#2453C2212yescomplemented
334#2451C2212yescomplemented
335#2450C2212yes—
336#2449C2212yes—
337#2446C2212yescomplemented
338#2446C2212yescomplemented
339#2441C2212yes—
340#2441C2212yescomplemented
341#2438C2212yes—
342#2437C2212yes—
343#2429C2212yes—
344#2429C2212yes—
345#2429C2212yes—
346#2423C2212yes—
347#2421C2212yes—
348#2421C2212yes—
349#2418C2212yes—
350#2417C2212yes—
351#2413C2212yes—
352#2399C2212yescomplemented
353#2395C2212yes—
354#2378C2212yes—
355#2378C2212yes—
356#2376C2212yes—
357#2369C2211yescharacteristic, complemented
358#2362C2212yes—
359#2360C2212yescomplemented
360#2356C2212yescomplemented
361#2355C2211yescharacteristic, complemented
362#2354C2211yescharacteristic, complemented
363Q8×C4⋊C4C2211yescharacteristic, complemented
364#2346C2212yes—
365#2343C2212yes—
366#2342C2212yes—
367#2336C2212yescomplemented
368#2333C2212yes—
369#2331C2212yescomplemented
370#2329C2211yescharacteristic
371#2316C2212yescomplemented
372#2314C2212yes—
373#2312C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×C22⋊Q8C2211yescharacteristic
376C4×#121C2211yescharacteristic
377C2×#388C2211yescharacteristic
378#2285C2211yescharacteristic
379#556—48no—
380#544—44no—
381#543—44no—
382#541—48no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2311yescharacteristic
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#124C2312yes—
411C2×#124C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×#121C2311yescharacteristic
433C2×#120C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C22⋊C4C2311yescharacteristic
452C22×C22⋊C4C2311yescharacteristic
453C22×C22⋊C4C2312yes—
454C22×C22⋊C4C2311yescharacteristic
455C22×C42C2311yescharacteristic
456#401C2312yes—
457#401C2312yes—
458#401C2312yes—
459#401C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#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#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#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#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
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#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#394C2312yes—
687#394C2312yes—
688#394C2312yes—
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#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2311yescharacteristic
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2311yescharacteristic
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2311yescharacteristic
723#391C2311yescharacteristic
724#391C2311yescharacteristic
725#391C2312yes—
726#391C2311yescharacteristic
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2312yes—
738#390C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2311yescharacteristic
742#390C2312yes—
743#389C2311yescharacteristic
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#389C2311yescharacteristic
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2311yescharacteristic
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#389C2311yescharacteristic
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2311yescharacteristic
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
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#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
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#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
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#384C2312yes—
1008#384C2312yes—
1009#384C2311yescharacteristic
1010#384C2311yescharacteristic
1011#384C2311yescharacteristic
1012#384C2312yes—
1013#384C2312yes—
1014#383C2312yes—
1015#383C2312yes—
1016#383C2312yes—
1017#383C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#380C2311yescharacteristic
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2311yescharacteristic
1042#380C2311yescharacteristic
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2311yescharacteristic
1050#380C2312yes—
1051#380C2311yescharacteristic
1052#380C2311yescharacteristic
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#379C2312yes—
1058#379C2312yes—
1059#379C2312yes—
1060#379C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2311yescharacteristic
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2311yescharacteristic
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
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—
1096#376C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099#376C2312yes—
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C25C2411yescharacteristic
1103C22×Q8C2412yes—
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2411yescharacteristic
1112C22×D4C2412yes—
1113C22×D4C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C23×C4C2411yescharacteristic
1117C23×C4C2411yescharacteristic
1118C23×C4C2412yes—
1119C23×C4C2411yescharacteristic
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2411yescharacteristic
1123C23×C4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2411yescharacteristic
1127C4⋊Q8—28no—
1128C4⋊Q8—42no—
1129C4⋊Q8—44no—
1130C4⋊Q8—44no—
1131C4⋊Q8—82no—
1132C4⋊Q8—82no—
1133#126—44no—
1134#126—44no—
1135#126—44no—
1136#126—44no—
1137#126—44no—
1138#126—44no—
1139#126—44no—
1140#126—44no—
1141#126—82no—
1142#125—44no—
1143#125—44no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#125—44no—
1149#125—44no—
1150#125—82no—
1151#125—82no—
1152#125—82no—
1153#125—82no—
1154#124—44no—
1155#124—44no—
1156#123—44no—
1157#123—82no—
1158#123—82no—
1159C22⋊Q8—28no—
1160C22⋊Q8—24no—
1161C22⋊Q8—28no—
1162C22⋊Q8—24no—
1163C22⋊Q8—44no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—42no—
1169C22⋊Q8—42no—
1170C22⋊Q8—44no—
1171C22⋊Q8—42no—
1172C22⋊Q8—44no—
1173C22⋊Q8—82no—
1174C22⋊Q8—82no—
1175C22⋊Q8—82no—
1176#121—24no—
1177#120—82no—
1178C4×Q8—28no—
1179C4×Q8—42no—
1180C4×Q8—42no—
1181C4×Q8—44no—
1182C4×Q8—44no—
1183C4×Q8—44no—
1184C4×D4—42no—
1185C4×D4—44no—
1186C4×D4—82no—
1187#117—28no—
1188#117—44no—
1189#117—44no—
1190#117—44no—
1191#117—44no—
1192#117—82no—
1193C2×C4⋊C4—44no—
1194C2×C4⋊C4—42no—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2411yescharacteristic
1212C2×C4⋊C4C2411yescharacteristic
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2411yescharacteristic
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2411yescharacteristic
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2411yescharacteristic
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2411yescharacteristic
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2411yescharacteristic
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2411yescharacteristic
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C22⋊C4—24no—
1306C2×C22⋊C4—42no—
1307C2×C22⋊C4—44no—
1308C2×C22⋊C4—42no—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
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⋊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×C42—42no—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2411yescharacteristic
1377C2×C42C2412yes—
1378C2×C42C2411yescharacteristic
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2411yescharacteristic
1401C2×C42C2411yescharacteristic
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518C24—22no—
1519C24—41no—
1520C24—41no—
1521C24—41no—
1522C24—41no—
1523C24—41no—
1524C24—41no—
1525C24C2512yes—
1526C24C2512yes—
1527C24C2511yescharacteristic
1528C2×Q8—24no—
1529C2×Q8—22no—
1530C2×Q8—41no—
1531C2×Q8—41no—
1532C2×Q8—42no—
1533C2×Q8—42no—
1534C2×Q8—41no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×Q8—41no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—41no—
1543C2×Q8—42no—
1544C2×Q8—41no—
1545C2×Q8—41no—
1546C2×Q8—41no—
1547C2×Q8—41no—
1548C2×Q8—41no—
1549C2×Q8—42no—
1550C2×Q8—42no—
1551C2×Q8—41no—
1552C2×Q8—41no—
1553C2×Q8—41no—
1554C2×Q8H(5,𝔽2)14yes—
1555C2×D4—24no—
1556C2×D4—22no—
1557C2×D4—42no—
1558C2×D4—41no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—41no—
1562C2×D4—42no—
1563C2×D4—42no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C22×C4—22no—
1568C22×C4—24no—
1569C22×C4—22no—
1570C22×C4—24no—
1571C22×C4—22no—
1572C22×C4—24no—
1573C22×C4—41no—
1574C22×C4—41no—
1575C22×C4—42no—
1576C22×C4—41no—
1577C22×C4—42no—
1578C22×C4—41no—
1579C22×C4—41no—
1580C22×C4—42no—
1581C22×C4—41no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—41no—
1585C22×C4—42no—
1586C22×C4—41no—
1587C22×C4—41no—
1588C22×C4—42no—
1589C22×C4—41no—
1590C22×C4—41no—
1591C22×C4—42no—
1592C22×C4—41no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—41no—
1597C22×C4—42no—
1598C22×C4—41no—
1599C22×C42−1+414yes—
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2511yescharacteristic
1608C22×C4C2512yes—
1609C22×C4C2511yescharacteristic
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2511yescharacteristic
1629C22×C4C2511yescharacteristic
1630C22×C4C2511yescharacteristic
1631C22×C4C2511yescharacteristic
1632C4⋊C4—24no—
1633C4⋊C4—24no—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—22no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—22no—
1650C4⋊C4—22no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—41no—
1660C4⋊C4—42no—
1661C4⋊C4—41no—
1662C4⋊C4—42no—
1663C4⋊C4—41no—
1664C4⋊C4—41no—
1665C4⋊C4—41no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—41no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—41no—
1690C4⋊C4—42no—
1691C4⋊C4—41no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—41no—
1695C4⋊C4—41no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—41no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—41no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—41no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—41no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—41no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C22⋊C4—24no—
1743C22⋊C4—24no—
1744C22⋊C4—24no—
1745C22⋊C4—24no—
1746C22⋊C4—24no—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—42no—
1755C22⋊C4—42no—
1756C22⋊C4—42no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—42no—
1769C22⋊C4—42no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C42—24no—
1804C42—24no—
1805C42—24no—
1806C42—24no—
1807C42—24no—
1808C42—24no—
1809C42—22no—
1810C42—22no—
1811C42—41no—
1812C42—41no—
1813C42—42no—
1814C42—42no—
1815C42—42no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C23—21no—
1835C23—21no—
1836C23—21no—
1837C23—21no—
1838C23—21no—
1839C23—21no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—22no—
1850C23—22no—
1851C23—22no—
1852C23—22no—
1853C23—22no—
1854C23—44no—
1855C23—82no—
1856C23—82no—
1857C23—161no—
1858C23—161no—
1859C23—161no—
1860C23—161no—
1861C23C2×2−1+412yes—
1862C23C2611yescharacteristic
1863Q8—44no—
1864Q8—84no—
1865Q8—82no—
1866Q8—84no—
1867Q8—84no—
1868Q8—162no—
1869Q8—161no—
1870Q8—161no—
1871Q8—161no—
1872D4—82no—
1873D4—84no—
1874D4—84no—
1875D4—162no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—22no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—22no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—21no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—21no—
1911C2×C4—22no—
1912C2×C4—21no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—21no—
1934C2×C4—22no—
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—21no—
1966C2×C4—22no—
1967C2×C4—44no—
1968C2×C4—48no—
1969C2×C4—44no—
1970C2×C4—84no—
1971C2×C4—82no—
1972C2×C4—84no—
1973C2×C4—82no—
1974C2×C4—161no—
1975C2×C4—162no—
1976C2×C4—162no—
1977C2×C4—161no—
1978C2×C4C2×H(5,𝔽2)14yes—
1979C2×C4C2×H(5,𝔽2)12yes—
1980C2×C4C2×2−1+412yes—
1981C2×C4C2×2−1+412yes—
1982C2×C4#58512yes—
1983C22—22no—
1984C22—22no—
1985C22—22no—
1986C22—41no—
1987C22—41no—
1988C22—41no—
1989C22—41no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22—42no—
2003C22—42no—
2004C22—164no—
2005C22C22×H(5,𝔽2)11yescharacteristic
2006C22C22×2−1+411yescharacteristic
2007C22C2×#58511yescharacteristic
2008C22H(7,𝔽2)11yescharacteristic
2009C222−1+611yescharacteristic
2010C222−1+611yescharacteristic
2011C222−1+611yescharacteristic
2012C4—22no—
2013C4—24no—
2014C4—22no—
2015C4—22no—
2016C4—22no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—41no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—41no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C2—42no—
2045C2—82no—
2046C2—82no—
2047C2#6287211yescharacteristic
2048C2#6287911yescharacteristic
2049C2#6290111yescharacteristic
2050C2#6290411yescharacteristic
2051C2#6291311yescharacteristic
2052C2#6297911yescharacteristic
2053C2#6305211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2617C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59256C2semidirect
2. #58911C2semidirect
3. #58881C2semidirect
4. #57930C2semidirect
5. #57229C2semidirect
6. #57109C2semidirect
7. #56781C2semidirect
8. #55786C2semidirect
9. #55368C2semidirect
10. #55301C2semidirect
11. #54969C2semidirect
12. #53922C2semidirect
13. #53584C2semidirect
14. #52727C2semidirect
15. #51555C2semidirect
16. #50783C2semidirect
17. #50585C2semidirect
18. #50532C2semidirect
19. #49610C2semidirect
20. #48886C2semidirect
21. #48778C2semidirect
22. #48127C2semidirect
23. #47822C2semidirect
24. #47147C2semidirect
25. #45795C2semidirect
26. #45326C2semidirect
27. #42312C2semidirect
28. #42006C2semidirect
30. #41333C2semidirect
31. #39710C2semidirect
32. #39479C2semidirect
33. #39364C2semidirect
34. #37885C2semidirect
39. C2×#541C22semidirect
42. #2845C22semidirect
44. #2839C22semidirect
46. #2838C22semidirect
47. #2838C22semidirect
52. #2833C22semidirect
53. #2833C22semidirect
55. #2831C22semidirect
57. #2822C22semidirect
58. #2821C22semidirect
61. #2811C22semidirect
62. #2809C22semidirect
63. #2806C22semidirect
64. #2806C22semidirect
65. #2806C22semidirect
66. #2805C22semidirect
67. #2805C22semidirect
68. #2802C22semidirect
73. #2798C22semidirect
77. #2792C22semidirect
78. #2792C22semidirect
79. #2792C22semidirect
81. #2788C22semidirect
82. #2788C22semidirect
87. #2774C22semidirect
88. #2774C22semidirect
91. #2773C22semidirect
93. #2772C22semidirect
98. #2767C22semidirect
99. #2767C22semidirect
100. #2767C22semidirect
103. #2765C22semidirect
106. #2759C22semidirect
107. #2758C22semidirect
108. #2758C22semidirect
109. #2755C22semidirect
111. #2754C22semidirect
112. #2754C22semidirect
113. #2754C22semidirect
117. #2747C22semidirect
118. #2747C22semidirect
120. #2745C22semidirect
125. #2737C22semidirect
128. #2734C22semidirect
131. #2732C22semidirect
132. #2732C22semidirect
134. #2729C22semidirect
135. #2729C22semidirect
137. #2726C22semidirect
138. #2726C22semidirect
139. #2726C22semidirect
140. #2726C22semidirect
144. #2725C22semidirect
148. #2723C22semidirect
149. #2722C22semidirect
150. #2722C22semidirect
155. #2721C22semidirect
156. #2721C22semidirect
160. #2719C22semidirect
161. #2719C22semidirect
162. #2716C22semidirect
165. #2713C22semidirect
166. #2713C22semidirect
167. #2713C22semidirect
168. #2713C22semidirect
174. #2704C22semidirect
195. #2666C22semidirect
199. #2660C22semidirect
200. #2660C22semidirect
202. #2655C22semidirect
203. #2655C22semidirect
213. #2637C22semidirect
217. #2628C22semidirect
225. #2612C22semidirect
227. #2611C22semidirect
228. #2611C22semidirect
231. #2607C22semidirect
232. #2606C22semidirect
234. #2599C22semidirect
238. #2590C22semidirect
239. #2590C22semidirect
241. #2589C22semidirect
242. #2588C22semidirect
243. #2588C22semidirect
245. #2587C22semidirect
246. #2584C22semidirect
247. #2582C22semidirect
248. #2579C22semidirect
252. #2571C22semidirect
253. #2570C22semidirect
254. #2563C22semidirect
262. #2556C22semidirect
264. #2552C22semidirect
265. #2550C22semidirect
266. #2550C22semidirect
269. #2533C22semidirect
271. #2531C22semidirect
276. #2528C22semidirect
277. #2528C22semidirect
278. #2528C22semidirect
282. #2522C22semidirect
285. #2520C22semidirect
288. #2519C22semidirect
289. #2519C22semidirect
292. #2514C22semidirect
294. #2512C22semidirect
295. #2509C22semidirect
296. #2508C22semidirect
297. #2507C22semidirect
298. #2506C22semidirect
300. #2499C22semidirect
301. #2496C22semidirect
302. #2496C22semidirect
305. #2492C22semidirect
314. #2479C22semidirect
319. #2475C22semidirect
321. #2473C22semidirect
327. #2462C22semidirect
328. #2462C22semidirect
331. #2453C22semidirect
332. #2453C22semidirect
333. #2453C22semidirect
334. #2451C22semidirect
337. #2446C22semidirect
338. #2446C22semidirect
340. #2441C22semidirect
352. #2399C22semidirect
357. #2369C22semidirect
359. #2360C22semidirect
360. #2356C22semidirect
361. #2355C22semidirect
362. #2354C22semidirect
363. Q8×C4⋊C4C22semidirect
367. #2336C22semidirect
369. #2331C22semidirect
371. #2316C22semidirect

Maximal subgroups

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

subgroupindex
#592562
#589112
#588812
#579302
#572292
#571092
#567812
#557862
#553682
#553012
#549692
#539222
#535842
#527272
#515552
#507832
#505852
#505322
#496102
#488862
#487782
#481272
#478222
#471472
#457952
#453262
#423122
#420062
#416092
#413332
#397102
#394792
#393642
#378852
#374612