Finite Group Databasebeta

← #9063961

Subgroups — #9063961

Order 512.

4522 conjugacy classes of subgroups.

The subgroup lattice has 2175 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58452C212yesmaximal, complemented
2#57408C212yesmaximal, complemented
3#56810C212yesmaximal, complemented
4#54811C212yesmaximal, complemented
5#53794C211yesmaximal, characteristic, complemented
6#51610C212yesmaximal, complemented
7#51285C212yesmaximal, complemented
8#50446C212yesmaximal, complemented
9#50385C212yesmaximal, complemented
10#50169C211yesmaximal, characteristic, complemented
11#50114C212yesmaximal, complemented
12#49827C212yesmaximal, complemented
13#49793C211yesmaximal, characteristic, complemented
14#49739C212yesmaximal, complemented
15#49429C212yesmaximal, complemented
16#44893C212yesmaximal, complemented
17#44814C211yesmaximal, characteristic, complemented
18#44693C212yesmaximal, complemented
19#44570C212yesmaximal, complemented
20#44559C212yesmaximal, complemented
21#44451C211yesmaximal, characteristic, complemented
22#44430C212yesmaximal, complemented
23#44275C212yesmaximal, complemented
24#44169C212yesmaximal, complemented
25#43463C212yesmaximal, complemented
26#42255C212yesmaximal, complemented
27#41616C211yesmaximal, characteristic, complemented
28#41319C212yesmaximal, complemented
29#41307C212yesmaximal, complemented
30#41087C212yesmaximal, complemented
31#35974C212yesmaximal, complemented
32#35916C212yesmaximal, complemented
33#35877C212yesmaximal, complemented
34#35853C211yesmaximal, characteristic, complemented
35#35754C212yesmaximal, complemented
36C2×#559C2211yescharacteristic, complemented
37C2×#555C2212yes—
38C2×#552C2211yescharacteristic
39C2×#544C2211yescharacteristic, complemented
40C2×#538C2211yescharacteristic
41#2840C2211yescharacteristic
42#2835C2211yescharacteristic
43#2832C2212yes—
44#2830C2211yescharacteristic, complemented
45#2828C2212yes—
46#2826C2212yes—
47#2824C2212yescomplemented
48#2819C2212yes—
49#2815C2212yescomplemented
50#2808C2212yes—
51#2807C2212yes—
52#2805C2212yescomplemented
53#2804C2212yes—
54#2797C2212yes—
55#2793C2212yescomplemented
56#2790C2212yes—
57#2790C2212yescomplemented
58#2788C2212yescomplemented
59#2787C2212yescomplemented
60#2778C2212yescomplemented
61#2777C2212yes—
62#2776C2212yescomplemented
63#2776C2212yescomplemented
64#2775C2212yes—
65#2772C2212yescomplemented
66#2764C2212yes—
67#2761C2212yes—
68#2760C2212yescomplemented
69#2759C2212yescomplemented
70#2756C2212yes—
71#2756C2212yescomplemented
72#2755C2212yescomplemented
73#2753C2212yes—
74#2753C2212yescomplemented
75#2751C2212yes—
76#2751C2212yescomplemented
77#2749C2212yes—
78#2749C2212yescomplemented
79#2749C2212yescomplemented
80#2746C2212yes—
81#2745C2212yes—
82#2741C2212yescomplemented
83#2738C2212yescomplemented
84#2738C2212yescomplemented
85#2737C2212yes—
86#2733C2212yes—
87#2733C2212yes—
88#2731C2212yes—
89#2731C2212yescomplemented
90#2730C2212yes—
91#2730C2212yescomplemented
92#2730C2212yescomplemented
93#2729C2212yes—
94#2726C2212yescomplemented
95#2724C2211yescharacteristic, complemented
96#2722C2211yescharacteristic, complemented
97#2721C2212yes—
98#2719C2212yescomplemented
99#2716C2212yescomplemented
100#2715C2212yes—
101#2714C2212yes—
102#2714C2212yes—
103#2714C2212yes—
104#2713C2212yescomplemented
105#2712C2212yes—
106#2712C2211yescharacteristic, complemented
107#2711C2212yes—
108#2711C2212yescomplemented
109#2710C2212yes—
110#2710C2212yes—
111#2710C2212yes—
112#2710C2212yes—
113#2710C2212yescomplemented
114#2708C2212yes—
115#2703C2212yes—
116#2703C2212yes—
117#2703C2212yes—
118#2701C2212yes—
119#2699C2212yes—
120#2699C2212yes—
121#2699C2211yescharacteristic, complemented
122#2698C2212yescomplemented
123#2696C2212yes—
124#2696C2212yes—
125#2695C2212yescomplemented
126#2694C2212yes—
127#2692C2212yes—
128#2691C2212yes—
129#2691C2212yescomplemented
130#2688C2212yes—
131#2688C2212yes—
132#2688C2212yescomplemented
133#2687C2212yes—
134#2687C2212yescomplemented
135#2681C2212yes—
136#2678C2212yes—
137#2678C2212yes—
138#2676C2212yes—
139#2676C2212yes—
140#2676C2212yescomplemented
141#2675C2212yes—
142#2674C2212yes—
143#2673C2212yes—
144#2673C2212yes—
145#2673C2212yescomplemented
146#2670C2212yes—
147#2669C2211yescharacteristic
148#2669C2211yescharacteristic
149#2663C2212yes—
150#2662C2212yescomplemented
151#2661C2212yes—
152#2654C2212yes—
153#2654C2212yescomplemented
154#2653C2212yes—
155#2653C2212yes—
156#2653C2212yescomplemented
157#2651C2212yes—
158#2650C2212yescomplemented
159#2649C2212yescomplemented
160#2644C2212yescomplemented
161#2643C2212yes—
162#2641C2211yescharacteristic, complemented
163#2640C2212yes—
164#2638C2211yescharacteristic
165#2635C2212yes—
166#2631C2212yes—
167#2631C2212yes—
168#2630C2212yes—
169#2630C2212yes—
170#2627C2212yescomplemented
171#2625C2211yescharacteristic, complemented
172#2622C2212yes—
173#2610C2212yes—
174#2606C2212yescomplemented
175#2603C2212yes—
176#2603C2212yescomplemented
177#2602C2212yes—
178#2602C2212yes—
179#2602C2212yescomplemented
180#2601C2212yes—
181#2601C2212yes—
182#2599C2212yes—
183#2598C2212yescomplemented
184#2597C2212yes—
185#2596C2212yes—
186#2595C2212yes—
187#2595C2212yes—
188#2595C2212yescomplemented
189#2589C2212yes—
190#2589C2212yescomplemented
191#2584C2211yescharacteristic, complemented
192#2579C2211yescharacteristic
193#2578C2212yes—
194#2576C2212yes—
195#2576C2212yes—
196#2573C2212yes—
197#2573C2212yescomplemented
198#2573C2212yescomplemented
199#2572C2212yes—
200#2568C2212yescomplemented
201#2566C2212yes—
202#2562C2212yescomplemented
203#2560C2212yes—
204#2560C2212yescomplemented
205#2560C2212yescomplemented
206#2559C2212yes—
207#2559C2212yes—
208#2558C2212yescomplemented
209#2558C2212yescomplemented
210#2557C2212yes—
211#2557C2212yes—
212#2557C2212yescomplemented
213#2557C2212yescomplemented
214#2555C2212yes—
215#2555C2211yescharacteristic, complemented
216#2554C2212yes—
217#2554C2212yes—
218#2545C2212yes—
219#2545C2212yescomplemented
220#2543C2211yescharacteristic
221#2541C2211yescharacteristic
222#2539C2212yes—
223#2533C2212yescomplemented
224#2532C2212yes—
225#2532C2212yes—
226#2532C2212yescomplemented
227#2532C2212yescomplemented
228#2531C2212yes—
229#2527C2212yes—
230#2527C2212yescomplemented
231#2526C2212yes—
232#2526C2212yes—
233#2526C2212yescomplemented
234#2525C2212yes—
235#2525C2212yescomplemented
236#2525C2212yescomplemented
237#2523C2212yes—
238#2523C2211yescharacteristic
239#2523C2211yescharacteristic, complemented
240#2523C2212yescomplemented
241#2521C2212yescomplemented
242#2518C2212yes—
243#2518C2212yes—
244#2518C2212yescomplemented
245#2518C2212yescomplemented
246#2516C2212yescomplemented
247#2515C2212yescomplemented
248#2515C2212yescomplemented
249#2515C2212yescomplemented
250#2514C2212yescomplemented
251#2513C2212yes—
252#2512C2212yes—
253#2507C2212yescomplemented
254#2502C2212yescomplemented
255#2501C2211yescharacteristic
256#2491C2212yes—
257#2491C2212yescomplemented
258#2490C2212yes—
259#2490C2212yes—
260#2484C2211yescharacteristic, complemented
261#2483C2211yescharacteristic
262#2481C2212yescomplemented
263#2481C2212yescomplemented
264#2478C2212yescomplemented
265#2477C2212yes—
266#2477C2212yescomplemented
267#2476C2212yes—
268#2475C2212yes—
269#2475C2212yes—
270#2475C2212yescomplemented
271#2474C2212yescomplemented
272#2473C2212yes—
273#2472C2212yes—
274#2471C2212yes—
275#2470C2212yes—
276#2470C2212yes—
277#2470C2212yescomplemented
278#2469C2212yescomplemented
279#2468C2212yes—
280#2464C2212yes—
281#2464C2212yes—
282#2464C2212yes—
283#2464C2212yes—
284#2463C2211yescharacteristic, complemented
285#2461C2212yescomplemented
286#2459C2212yes—
287#2459C2212yescomplemented
288#2457C2212yes—
289#2456C2212yes—
290#2456C2212yes—
291#2455C2212yes—
292#2452C2212yes—
293#2450C2212yes—
294#2450C2212yescomplemented
295#2448C2212yes—
296#2447C2212yes—
297#2446C2212yescomplemented
298#2445C2212yes—
299#2445C2212yes—
300#2444C2212yes—
301#2444C2212yes—
302#2443C2212yes—
303#2443C2212yescomplemented
304#2441C2212yescomplemented
305#2439C2212yes—
306#2439C2212yescomplemented
307#2428C2212yes—
308#2427C2212yes—
309#2427C2212yescomplemented
310#2426C2212yes—
311#2426C2212yes—
312#2426C2212yescomplemented
313#2425C2212yes—
314#2425C2212yescomplemented
315#2424C2212yes—
316#2424C2212yes—
317#2424C2212yes—
318#2422C2212yes—
319#2419C2212yes—
320#2418C2212yes—
321#2416C2212yes—
322#2416C2212yes—
323#2414C2212yes—
324#2413C2212yes—
325#2413C2212yescomplemented
326#2411C2212yes—
327#2402C2212yescomplemented
328#2401C2212yes—
329#2401C2212yescomplemented
330#2398C2211yescharacteristic
331#2398C2212yes—
332#2392C2212yes—
333#2392C2212yes—
334#2392C2212yes—
335#2392C2212yescomplemented
336C2×#397C2211yescharacteristic
337#2383C2212yescomplemented
338#2380C2211yescharacteristic
339#2378C2211yescharacteristic, complemented
340#2376C2212yes—
341#2373C2212yescomplemented
342#2372C2212yescomplemented
343#2369C2212yescomplemented
344#2368C2212yes—
345#2368C2211yescharacteristic
346#2367C2212yes—
347#2367C2212yes—
348#2366C2211yescharacteristic
349#2365C2212yescomplemented
350#2363C2212yescomplemented
351#2361C2212yes—
352#2361C2212yes—
353#2361C2212yes—
354#2361C2212yescomplemented
355#2359C2212yes—
356#2359C2212yescomplemented
357#2358C2212yes—
358#2358C2212yes—
359#2357C2212yes—
360#2356C2212yescomplemented
361#2354C2212yescomplemented
362#2353C2212yes—
363#2353C2212yescomplemented
364#2352C2212yescomplemented
365#2345C2212yescomplemented
366#2342C2212yes—
367#2337C2212yescomplemented
368#2333C2212yes—
369#2333C2212yes—
370#2333C2212yescomplemented
371#2332C2212yescomplemented
372#2324C2212yes—
373#2324C2212yes—
374#2323C2212yescomplemented
375#2322C2212yes—
376#2321C2211yescharacteristic
377#2276C2211yescharacteristic, complemented
378#2275C2212yes—
379#559—44no—
380#555—48no—
381#552—44no—
382#544—44no—
383#538—44no—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×#127C2311yescharacteristic
388C2×#127C2311yescharacteristic
389C2×#127C2311yescharacteristic
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#125C2312yes—
396C2×#125C2311yescharacteristic
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2311yescharacteristic
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#120C2311yescharacteristic
448C2×#120C2312yes—
449C2×#120C2312yes—
450C2×#120C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
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×C4×D4C2312yes—
471C2×#117C2312yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2311yescharacteristic
478C22×C4⋊C4C2311yescharacteristic
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2311yescharacteristic
481C22×C4⋊C4C2312yes—
482C22×C22⋊C4C2311yescharacteristic
483C22×C22⋊C4C2312yes—
484C22×C22⋊C4C2312yes—
485#401C2312yes—
486#401C2312yes—
487#401C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2311yescharacteristic
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#398C2311yescharacteristic
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#397C2312yes—
545#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2311yescharacteristic
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2311yescharacteristic
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2311yescharacteristic
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2311yescharacteristic
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#395C2311yescharacteristic
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2311yescharacteristic
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2311yescharacteristic
673#393C2312yes—
674#393C2311yescharacteristic
675#393C2312yes—
676#393C2312yes—
677#393C2311yescharacteristic
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#392C2312yes—
682#392C2312yes—
683#392C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#392C2312yes—
690#392C2312yes—
691#392C2312yes—
692#392C2312yes—
693#392C2312yes—
694#392C2312yes—
695#392C2312yes—
696#392C2312yes—
697#392C2312yes—
698#392C2312yes—
699#392C2312yes—
700#392C2312yes—
701#392C2312yes—
702#392C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2311yescharacteristic
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2311yescharacteristic
733#390C2312yes—
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2312yes—
738#390C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2311yescharacteristic
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#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#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#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#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2311yescharacteristic
928#386C2312yes—
929#386C2312yes—
930#386C2311yescharacteristic
931#386C2311yescharacteristic
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#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#385C2311yescharacteristic
985#385C2311yescharacteristic
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#383C2312yes—
1010#383C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#383C2312yes—
1014#383C2312yes—
1015#383C2312yes—
1016#383C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#381C2311yescharacteristic
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2311yescharacteristic
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#379C2311yescharacteristic
1045#379C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2311yescharacteristic
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2311yescharacteristic
1079C4×C22⋊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—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099#376C2311yescharacteristic
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2311yescharacteristic
1103C25C2411yescharacteristic
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2411yescharacteristic
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2411yescharacteristic
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2411yescharacteristic
1131C22×D4C2412yes—
1132C22×D4C2411yescharacteristic
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2412yes—
1137C23×C4C2411yescharacteristic
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2411yescharacteristic
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2411yescharacteristic
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C4⋊Q8—28no—
1152C4⋊Q8—44no—
1153C4⋊Q8—44no—
1154#127—42no—
1155#127—42no—
1156#127—42no—
1157#126—44no—
1158#126—44no—
1159#126—44no—
1160#126—44no—
1161#126—82no—
1162#125—44no—
1163#125—42no—
1164#125—44no—
1165#125—44no—
1166#124—28no—
1167#124—28no—
1168#124—44no—
1169#124—44no—
1170#124—44no—
1171#124—44no—
1172#124—44no—
1173#124—82no—
1174#124—82no—
1175#124—82no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179#123—44no—
1180#123—44no—
1181#123—44no—
1182#123—44no—
1183#123—44no—
1184#123—82no—
1185#123—82no—
1186#123—82no—
1187#123—82no—
1188C22⋊Q8—24no—
1189C22⋊Q8—24no—
1190C22⋊Q8—44no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—42no—
1195C22⋊Q8—82no—
1196#121—44no—
1197#121—44no—
1198#121—42no—
1199#121—44no—
1200#121—44no—
1201#121—44no—
1202#121—44no—
1203#121—44no—
1204#121—44no—
1205#121—44no—
1206#121—44no—
1207#121—44no—
1208#121—44no—
1209#121—44no—
1210#121—44no—
1211#121—44no—
1212#121—82no—
1213#121—82no—
1214#120—44no—
1215#120—44no—
1216#120—44no—
1217#120—42no—
1218C4×Q8—24no—
1219C4×Q8—42no—
1220C4×Q8—44no—
1221C4×Q8—44no—
1222C4×D4—44no—
1223C4×D4—44no—
1224C4×D4—44no—
1225C4×D4—44no—
1226C4×D4—44no—
1227C4×D4—44no—
1228C4×D4—42no—
1229C4×D4—44no—
1230C4×D4—44no—
1231C4×D4—44no—
1232C4×D4—44no—
1233C4×D4—44no—
1234C4×D4—44no—
1235C4×D4—44no—
1236C4×D4—82no—
1237C4×D4—82no—
1238#117—44no—
1239#117—44no—
1240#117—44no—
1241#117—44no—
1242#117—44no—
1243#117—44no—
1244#117—42no—
1245C2×C4⋊C4—44no—
1246C2×C4⋊C4—42no—
1247C2×C4⋊C4—42no—
1248C2×C4⋊C4—82no—
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2411yescharacteristic
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2411yescharacteristic
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C22⋊C4—42no—
1319C2×C22⋊C4—44no—
1320C2×C22⋊C4—82no—
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⋊C4C2411yescharacteristic
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⋊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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1409C2×C22⋊C4C2411yescharacteristic
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2411yescharacteristic
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2411yescharacteristic
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—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2411yescharacteristic
1448C2×C42C2411yescharacteristic
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2411yescharacteristic
1457#95C2412yes—
1458#95C2411yescharacteristic
1459#95C2411yescharacteristic
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2411yescharacteristic
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#95C2411yescharacteristic
1529#95C2412yes—
1530#95C2411yescharacteristic
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—
1547C24—22no—
1548C24—41no—
1549C24—42no—
1550C24—42no—
1551C24—41no—
1552C24C2512yes—
1553C24C2511yescharacteristic
1554C24C2512yes—
1555C24C2512yes—
1556C24C2512yes—
1557C24C2511yescharacteristic
1558C2×Q8—24no—
1559C2×Q8—42no—
1560C2×Q8—41no—
1561C2×Q8—42no—
1562C2×Q8—42no—
1563C2×Q8—42no—
1564C2×Q8—41no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—42no—
1571C2×Q8—42no—
1572C2×Q8H(5,𝔽2)14yes—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—22no—
1576C2×D4—24no—
1577C2×D4—24no—
1578C2×D4—24no—
1579C2×D4—24no—
1580C2×D4—24no—
1581C2×D4—24no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—41no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—41no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—41no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—41no—
1633C2×D4—41no—
1634C2×D4—41no—
1635C2×D4—42no—
1636C2×D4—41no—
1637C2×D4—42no—
1638C2×D4—41no—
1639C2×D4—41no—
1640C2×D4—42no—
1641C22×C4—24no—
1642C22×C4—24no—
1643C22×C4—22no—
1644C22×C4—22no—
1645C22×C4—24no—
1646C22×C4—24no—
1647C22×C4—24no—
1648C22×C4—41no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—41no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—41no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2511yescharacteristic
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2511yescharacteristic
1708C22×C4C2512yes—
1709C22×C4C2511yescharacteristic
1710C22×C4C2512yes—
1711C22×C4C2511yescharacteristic
1712C22×C4C2512yes—
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2511yescharacteristic
1716C22×C4C2512yes—
1717C22×C4C2512yes—
1718C22×C4C2512yes—
1719C4⋊C4—22no—
1720C4⋊C4—24no—
1721C4⋊C4—22no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—22no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—41no—
1755C4⋊C4—42no—
1756C4⋊C4—41no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—41no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—41no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—22no—
1791C22⋊C4—24no—
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—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—41no—
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—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—41no—
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—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—41no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—41no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—41no—
1887C42—24no—
1888C42—24no—
1889C42—24no—
1890C42—24no—
1891C42—22no—
1892C42—24no—
1893C42—24no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—42no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—41no—
1915C42—41no—
1916C23—21no—
1917C23—22no—
1918C23—22no—
1919C23—21no—
1920C23—21no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
1926C23—22no—
1927C23—22no—
1928C23—22no—
1929C23—22no—
1930C23—22no—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—21no—
1948C23—21no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—84no—
1954C23—82no—
1955C23—84no—
1956C23—161no—
1957C23—161no—
1958C23#58512yes—
1959C23C2611yescharacteristic
1960Q8—44no—
1961Q8—84no—
1962Q8—82no—
1963Q8—161no—
1964Q8—162no—
1965Q8—162no—
1966D4—48no—
1967D4—84no—
1968D4—84no—
1969D4—84no—
1970D4—84no—
1971D4—84no—
1972D4—84no—
1973D4—82no—
1974D4—84no—
1975D4—84no—
1976D4—84no—
1977D4—84no—
1978D4—84no—
1979D4—84no—
1980D4—162no—
1981D4—161no—
1982D4—162no—
1983D4—162no—
1984D4—162no—
1985D4—162no—
1986D4—162no—
1987D4—161no—
1988D4—161no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—21no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—21no—
2004C2×C4—22no—
2005C2×C4—21no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—21no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—21no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—21no—
2068C2×C4—44no—
2069C2×C4—84no—
2070C2×C4—84no—
2071C2×C4—82no—
2072C2×C4—82no—
2073C2×C4—84no—
2074C2×C4—84no—
2075C2×C4—84no—
2076C2×C4—84no—
2077C2×C4—84no—
2078C2×C4—161no—
2079C2×C4—162no—
2080C2×C4—161no—
2081C2×C4—162no—
2082C2×C4—162no—
2083C2×C4—162no—
2084C2×C4—162no—
2085C2×C4—162no—
2086C2×C4C2×H(5,𝔽2)14yes—
2087C2×C4C2×H(5,𝔽2)12yes—
2088C2×C4#58514yes—
2089C2×C4#58514yes—
2090C22—24no—
2091C22—22no—
2092C22—41no—
2093C22—41no—
2094C22—42no—
2095C22—41no—
2096C22—42no—
2097C22—42no—
2098C22—42no—
2099C22—42no—
2100C22—41no—
2101C22—42no—
2102C22—42no—
2103C22—42no—
2104C22—42no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—41no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22—42no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22—164no—
2129C22C22×H(5,𝔽2)11yescharacteristic
2130C22C2×#58512yes—
2131C22C2×#58512yes—
2132C22C2×#58511yescharacteristic
2133C22H(7,𝔽2)11yescharacteristic
2134C4—24no—
2135C4—22no—
2136C4—24no—
2137C4—24no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—41no—
2142C4—41no—
2143C4—41no—
2144C4—42no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C4—41no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—42no—
2160C4—42no—
2161C4—42no—
2162C4—42no—
2163C2—42no—
2164C2—81no—
2165C2—82no—
2166C2—82no—
2167C2—82no—
2168C2—82no—
2169C2#6282211yescharacteristic
2170C2#6282812yes—
2171C2#6289911yescharacteristic
2172C2#6293812yes—
2173C2#6302011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58452C2semidirect
2. #57408C2semidirect
3. #56810C2semidirect
4. #54811C2semidirect
5. #53794C2semidirect
6. #51610C2semidirect
7. #51285C2semidirect
8. #50446C2semidirect
9. #50385C2semidirect
10. #50169C2semidirect
11. #50114C2semidirect
12. #49827C2semidirect
13. #49793C2semidirect
14. #49739C2semidirect
15. #49429C2semidirect
16. #44893C2semidirect
17. #44814C2semidirect
18. #44693C2semidirect
19. #44570C2semidirect
20. #44559C2semidirect
21. #44451C2semidirect
22. #44430C2semidirect
23. #44275C2semidirect
24. #44169C2semidirect
25. #43463C2semidirect
26. #42255C2semidirect
27. #41616C2semidirect
28. #41319C2semidirect
29. #41307C2semidirect
30. #41087C2semidirect
31. #35974C2semidirect
32. #35916C2semidirect
33. #35877C2semidirect
34. #35853C2semidirect
35. #35754C2semidirect
36. C2×#559C22semidirect
39. C2×#544C22semidirect
44. #2830C22semidirect
47. #2824C22semidirect
49. #2815C22semidirect
52. #2805C22semidirect
55. #2793C22semidirect
57. #2790C22semidirect
58. #2788C22semidirect
59. #2787C22semidirect
60. #2778C22semidirect
62. #2776C22semidirect
63. #2776C22semidirect
65. #2772C22semidirect
68. #2760C22semidirect
69. #2759C22semidirect
71. #2756C22semidirect
72. #2755C22semidirect
74. #2753C22semidirect
76. #2751C22semidirect
78. #2749C22semidirect
79. #2749C22semidirect
82. #2741C22semidirect
83. #2738C22semidirect
84. #2738C22semidirect
89. #2731C22semidirect
91. #2730C22semidirect
92. #2730C22semidirect
94. #2726C22semidirect
95. #2724C22semidirect
96. #2722C22semidirect
98. #2719C22semidirect
99. #2716C22semidirect
104. #2713C22semidirect
106. #2712C22semidirect
108. #2711C22semidirect
113. #2710C22semidirect
121. #2699C22semidirect
122. #2698C22semidirect
125. #2695C22semidirect
129. #2691C22semidirect
132. #2688C22semidirect
134. #2687C22semidirect
140. #2676C22semidirect
145. #2673C22semidirect
150. #2662C22semidirect
153. #2654C22semidirect
156. #2653C22semidirect
158. #2650C22semidirect
159. #2649C22semidirect
160. #2644C22semidirect
162. #2641C22semidirect
170. #2627C22semidirect
171. #2625C22semidirect
174. #2606C22semidirect
176. #2603C22semidirect
179. #2602C22semidirect
183. #2598C22semidirect
188. #2595C22semidirect
190. #2589C22semidirect
191. #2584C22semidirect
197. #2573C22semidirect
198. #2573C22semidirect
200. #2568C22semidirect
202. #2562C22semidirect
204. #2560C22semidirect
205. #2560C22semidirect
208. #2558C22semidirect
209. #2558C22semidirect
212. #2557C22semidirect
213. #2557C22semidirect
215. #2555C22semidirect
219. #2545C22semidirect
223. #2533C22semidirect
226. #2532C22semidirect
227. #2532C22semidirect
230. #2527C22semidirect
233. #2526C22semidirect
235. #2525C22semidirect
236. #2525C22semidirect
239. #2523C22semidirect
240. #2523C22semidirect
241. #2521C22semidirect
244. #2518C22semidirect
245. #2518C22semidirect
246. #2516C22semidirect
247. #2515C22semidirect
248. #2515C22semidirect
249. #2515C22semidirect
250. #2514C22semidirect
253. #2507C22semidirect
254. #2502C22semidirect
257. #2491C22semidirect
260. #2484C22semidirect
262. #2481C22semidirect
263. #2481C22semidirect
264. #2478C22semidirect
266. #2477C22semidirect
270. #2475C22semidirect
271. #2474C22semidirect
277. #2470C22semidirect
278. #2469C22semidirect
284. #2463C22semidirect
285. #2461C22semidirect
287. #2459C22semidirect
294. #2450C22semidirect
297. #2446C22semidirect
303. #2443C22semidirect
304. #2441C22semidirect
306. #2439C22semidirect
309. #2427C22semidirect
312. #2426C22semidirect
314. #2425C22semidirect
325. #2413C22semidirect
327. #2402C22semidirect
329. #2401C22semidirect
335. #2392C22semidirect
337. #2383C22semidirect
339. #2378C22semidirect
341. #2373C22semidirect
342. #2372C22semidirect
343. #2369C22semidirect
349. #2365C22semidirect
350. #2363C22semidirect
354. #2361C22semidirect
356. #2359C22semidirect
360. #2356C22semidirect
361. #2354C22semidirect
363. #2353C22semidirect
364. #2352C22semidirect
365. #2345C22semidirect
367. #2337C22semidirect
370. #2333C22semidirect
371. #2332C22semidirect
374. #2323C22semidirect
377. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#584522
#574082
#568102
#548112
#537942
#516102
#512852
#504462
#503852
#501692
#501142
#498272
#497932
#497392
#494292
#448932
#448142
#446932
#445702
#445592
#444512
#444302
#442752
#441692
#434632
#422552
#416162
#413192
#413072
#410872
#359742
#359162
#358772
#358532
#357542