Finite Group Databasebeta

← #8093809

Subgroups — #8093809

Order 512.

4616 conjugacy classes of subgroups.

The subgroup lattice has 2204 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52682C212yesmaximal, complemented
2#52673C212yesmaximal, complemented
3#52632C212yesmaximal, complemented
4#52632C212yesmaximal, complemented
5#52541C212yesmaximal, complemented
6#52536C212yesmaximal, complemented
7#52526C212yesmaximal, complemented
8#52512C212yesmaximal, complemented
9#52497C212yesmaximal, complemented
10#52493C212yesmaximal, complemented
11#52489C212yesmaximal, complemented
12#52484C212yesmaximal, complemented
13#46318C211yesmaximal, characteristic, complemented
14#46308C212yesmaximal, complemented
15#46274C211yesmaximal, characteristic, complemented
16#46264C212yesmaximal, complemented
17#46133C212yesmaximal, complemented
18#46106C212yesmaximal, complemented
19#45951C212yesmaximal, complemented
20#45917C212yesmaximal, complemented
21#45913C212yesmaximal, complemented
22#45773C212yesmaximal, complemented
23#45766C212yesmaximal, complemented
24#45471C211yesmaximal, characteristic, complemented
25#45461C211yesmaximal, characteristic, complemented
26#45449C212yesmaximal, complemented
27#35442C211yesmaximal, characteristic, complemented
28#35425C212yesmaximal, complemented
29#35420C212yesmaximal, complemented
30#35419C211yesmaximal, characteristic, complemented
31#35071C212yesmaximal, complemented
32#35056C212yesmaximal, complemented
33#35040C212yesmaximal, complemented
34#34742C211yesmaximal, characteristic, complemented
35#34727C212yesmaximal, complemented
36C2×#562C2212yes—
37C2×#529C2212yescomplemented
38C2×#525C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40#2866C2212yes—
41#2865C2212yescomplemented
42#2865C2212yescomplemented
43#2861C2212yes—
44#2854C2212yes—
45#2854C2212yes—
46#2853C2212yes—
47#2853C2212yescomplemented
48#2851C2212yescomplemented
49#2850C2212yes—
50#2849C2212yes—
51#2847C2212yes—
52#2842C2211yescharacteristic
53#2841C2211yescharacteristic
54#2841C2212yes—
55#2839C2212yescomplemented
56#2837C2212yes—
57#2837C2212yes—
58#2837C2212yes—
59#2837C2212yes—
60#2836C2212yescomplemented
61#2836C2212yescomplemented
62#2831C2212yescomplemented
63#2830C2211yescharacteristic, complemented
64#2830C2212yescomplemented
65#2829C2212yes—
66#2829C2212yes—
67#2829C2212yescomplemented
68#2828C2212yes—
69#2828C2212yes—
70#2828C2211yescharacteristic, complemented
71#2828C2212yescomplemented
72#2828C2212yescomplemented
73#2828C2211yescharacteristic, complemented
74#2828C2211yescharacteristic, complemented
75#2827C2212yescomplemented
76#2827C2212yescomplemented
77#2827C2212yescomplemented
78#2826C2212yescomplemented
79#2822C2212yescomplemented
80#2820C2212yes—
81#2820C2212yes—
82#2818C2212yes—
83#2815C2212yes—
84#2815C2212yes—
85#2815C2211yescharacteristic
86#2815C2212yescomplemented
87#2814C2212yescomplemented
88#2813C2212yes—
89#2813C2212yes—
90#2813C2212yes—
91#2813C2212yes—
92#2813C2212yes—
93#2813C2212yes—
94#2813C2212yescomplemented
95#2812C2211yescharacteristic
96#2809C2211yescharacteristic, complemented
97#2803C2212yescomplemented
98#2799C2211yescharacteristic, complemented
99#2794C2212yescomplemented
100#2793C2212yes—
101#2793C2212yescomplemented
102#2786C2212yescomplemented
103#2786C2212yescomplemented
104#2777C2212yes—
105#2777C2212yescomplemented
106#2773C2212yes—
107#2773C2212yescomplemented
108#2773C2212yescomplemented
109#2771C2211yescharacteristic
110#2767C2212yescomplemented
111#2752C2211yescharacteristic
112#2752C2212yes—
113#2751C2212yes—
114#2743C2212yes—
115#2743C2212yes—
116#2741C2212yes—
117#2741C2212yes—
118#2739C2212yes—
119#2738C2212yescomplemented
120#2733C2211yescharacteristic, complemented
121#2730C2212yes—
122#2730C2212yes—
123#2730C2212yes—
124#2728C2212yes—
125#2728C2211yescharacteristic, complemented
126#2725C2212yescomplemented
127#2723C2212yescomplemented
128#2721C2212yescomplemented
129#2719C2212yescomplemented
130#2718C2212yes—
131#2718C2212yescomplemented
132#2717C2212yes—
133#2714C2212yes—
134#2711C2212yes—
135#2710C2212yes—
136#2707C2212yes—
137#2707C2212yes—
138#2707C2212yescomplemented
139#2706C2212yes—
140#2706C2212yes—
141#2706C2212yes—
142#2706C2212yescomplemented
143#2705C2212yes—
144#2703C2212yes—
145#2703C2212yes—
146#2703C2212yescomplemented
147#2703C2212yescomplemented
148#2701C2212yes—
149#2696C2212yes—
150#2696C2212yes—
151#2695C2212yes—
152#2695C2212yes—
153#2695C2212yescomplemented
154#2694C2212yes—
155#2694C2212yes—
156#2690C2212yescomplemented
157#2689C2212yescomplemented
158#2682C2212yes—
159#2682C2212yescomplemented
160#2680C2212yescomplemented
161#2680C2212yescomplemented
162#2678C2212yes—
163#2678C2212yes—
164#2676C2212yes—
165#2676C2212yes—
166#2673C2212yes—
167#2673C2212yes—
168#2673C2212yes—
169#2673C2212yes—
170#2673C2212yes—
171#2671C2212yes—
172#2671C2212yes—
173#2671C2212yes—
174#2671C2212yescomplemented
175#2670C2212yes—
176#2670C2211yescharacteristic
177#2669C2212yes—
178#2669C2212yes—
179#2668C2211yescharacteristic
180#2667C2212yes—
181#2665C2212yescomplemented
182#2661C2212yes—
183#2661C2212yes—
184#2652C2212yescomplemented
185#2649C2212yes—
186#2648C2212yes—
187#2648C2212yes—
188#2635C2212yescomplemented
189#2630C2212yes—
190#2630C2212yes—
191#2630C2212yescomplemented
192#2611C2211yescharacteristic
193#2610C2211yescharacteristic
194#2608C2212yescomplemented
195#2606C2211yescharacteristic, complemented
196#2605C2211yescharacteristic, complemented
197#2602C2212yes—
198#2602C2212yes—
199#2600C2212yes—
200#2600C2212yescomplemented
201#2600C2212yescomplemented
202#2598C2211yescharacteristic
203#2598C2211yescharacteristic
204#2597C2212yescomplemented
205#2596C2212yescomplemented
206#2595C2212yes—
207#2595C2212yescomplemented
208#2595C2212yescomplemented
209#2593C2212yes—
210#2593C2212yescomplemented
211#2590C2212yescomplemented
212#2590C2212yescomplemented
213#2589C2212yes—
214#2587C2212yescomplemented
215#2587C2212yescomplemented
216#2585C2212yescomplemented
217#2578C2212yes—
218#2578C2212yes—
219#2577C2212yescomplemented
220#2574C2212yescomplemented
221#2573C2212yes—
222#2569C2212yes—
223#2564C2212yes—
224#2562C2211yescharacteristic, complemented
225#2558C2212yes—
226#2558C2212yescomplemented
227#2557C2212yes—
228#2556C2212yescomplemented
229#2556C2212yescomplemented
230#2555C2212yes—
231#2554C2212yes—
232#2554C2212yescomplemented
233#2543C2212yes—
234#2543C2212yes—
235#2540C2211yescharacteristic, complemented
236#2539C2212yes—
237#2534C2212yes—
238#2533C2212yescomplemented
239#2531C2212yes—
240#2531C2212yes—
241#2531C2212yescomplemented
242#2530C2212yescomplemented
243#2530C2212yescomplemented
244#2530C2212yescomplemented
245#2529C2212yes—
246#2529C2212yes—
247#2526C2212yes—
248#2526C2212yes—
249#2526C2212yescomplemented
250#2522C2212yes—
251#2520C2212yescomplemented
252#2518C2212yescomplemented
253#2518C2212yescomplemented
254#2516C2212yes—
255#2516C2212yes—
256#2479C2212yes—
257#2479C2212yescomplemented
258#2477C2212yes—
259#2476C2212yes—
260#2476C2212yes—
261#2475C2212yescomplemented
262#2471C2212yes—
263#2471C2212yes—
264#2471C2212yes—
265#2471C2212yescomplemented
266#2468C2212yescomplemented
267#2467C2212yes—
268#2467C2212yescomplemented
269#2464C2212yes—
270#2464C2212yes—
271#2464C2212yes—
272#2464C2212yes—
273#2464C2212yescomplemented
274#2464C2212yescomplemented
275#2463C2212yescomplemented
276#2463C2212yescomplemented
277#2461C2212yes—
278#2461C2212yes—
279#2460C2212yes—
280#2460C2212yescomplemented
281#2460C2212yescomplemented
282#2459C2212yes—
283#2459C2212yes—
284#2459C2212yescomplemented
285#2457C2212yes—
286#2457C2212yes—
287#2457C2212yes—
288#2457C2212yescomplemented
289#2457C2212yescomplemented
290#2456C2212yes—
291#2456C2212yes—
292#2456C2212yes—
293#2456C2212yes—
294#2456C2212yes—
295#2456C2212yes—
296#2456C2212yes—
297#2456C2212yes—
298#2456C2212yescomplemented
299#2456C2212yescomplemented
300#2456C2212yescomplemented
301#2455C2212yescomplemented
302#2454C2212yes—
303#2454C2212yes—
304#2450C2212yes—
305#2448C2212yescomplemented
306#2445C2212yes—
307#2444C2212yes—
308#2444C2212yescomplemented
309#2444C2212yescomplemented
310#2441C2212yescomplemented
311#2438C2212yescomplemented
312#2438C2212yescomplemented
313#2431C2212yes—
314#2428C2212yes—
315#2428C2212yes—
316#2428C2212yes—
317#2427C2212yes—
318#2425C2212yes—
319#2425C2212yes—
320#2425C2212yes—
321#2425C2212yescomplemented
322#2424C2212yes—
323#2423C2212yes—
324#2423C2212yescomplemented
325#2422C2212yes—
326#2421C2212yes—
327#2420C2212yes—
328#2420C2212yescomplemented
329#2419C2212yes—
330#2419C2212yes—
331#2419C2212yes—
332#2419C2212yescomplemented
333#2418C2212yes—
334#2418C2212yes—
335#2418C2212yes—
336#2415C2212yescomplemented
337#2414C2212yes—
338#2414C2212yescomplemented
339#2407C2212yes—
340#2397C2212yes—
341#2397C2212yescomplemented
342#2395C2212yes—
343#2395C2212yes—
344#2392C2212yes—
345#2392C2212yescomplemented
346#2379C2212yescomplemented
347#2378C2212yes—
348#2378C2212yescomplemented
349#2377C2212yes—
350#2377C2212yes—
351#2376C2212yes—
352#2375C2212yes—
353#2337C2211yescharacteristic, complemented
354#2336C2211yescharacteristic, complemented
355#2335C2212yes—
356#2335C2212yes—
357#2335C2212yescomplemented
358#2333C2212yes—
359#2333C2212yes—
360#2332C2212yescomplemented
361C4×#127C2212yes—
362C4×#123C2212yes—
363C4×#123C2212yes—
364C4×#121C2212yes—
365C4×#121C2212yes—
366C4×#121C2212yescomplemented
367C4×#121C2212yescomplemented
368#2297C2211yescharacteristic
369#2296C2211yescharacteristic
370#2295C2212yescomplemented
371#2290C2212yes—
372#2290C2212yescomplemented
373#2285C2211yescharacteristic
374#2280C2211yescharacteristic
375#2275C2211yescharacteristic, complemented
376#2275C2211yescharacteristic, complemented
377C42×D4C2212yescomplemented
378C2×C4×C22⋊C4C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C24×C4C2311yescharacteristic
381#562—48no—
382C2×#127C2312yes—
383C2×#127C2312yes—
384#529—48no—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#125C2311yescharacteristic
389C2×#125C2312yes—
390C2×#125C2312yes—
391C2×#125C2312yes—
392C2×#125C2312yes—
393C2×#124C2312yes—
394C2×#124C2312yes—
395C2×#124C2311yescharacteristic
396C2×#124C2312yes—
397C2×#124C2312yes—
398#525—44no—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
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×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#120C2312yes—
448C2×#120C2312yes—
449C2×#120C2312yes—
450C2×#120C2312yes—
451C4×#41—44no—
452C2×C4×Q8C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
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×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×#117C2311yescharacteristic
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2311yescharacteristic
481C2×#117C2311yescharacteristic
482C22×C22⋊C4C2312yes—
483C22×C42C2312yes—
484C22×C42C2311yescharacteristic
485C22×C42C2311yescharacteristic
486C22×C42C2312yes—
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#400C2311yescharacteristic
501#400C2311yescharacteristic
502#400C2311yescharacteristic
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#399C2311yescharacteristic
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2311yescharacteristic
527#399C2311yescharacteristic
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2311yescharacteristic
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2311yescharacteristic
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2311yescharacteristic
630#395C2312yes—
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#394C2311yescharacteristic
662#394C2312yes—
663#394C2312yes—
664#394C2311yescharacteristic
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2311yescharacteristic
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#392C2312yes—
707#392C2312yes—
708#392C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2311yescharacteristic
717#392C2311yescharacteristic
718#392C2312yes—
719#392C2311yescharacteristic
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#392C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#392C2312yes—
734#392C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2311yescharacteristic
743#391C2311yescharacteristic
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2311yescharacteristic
752#390C2311yescharacteristic
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
767#390C2312yes—
768#390C2312yes—
769#390C2312yes—
770#390C2312yes—
771#390C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#386C2312yes—
934#386C2312yes—
935#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#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#384C2312yes—
1016#384C2312yes—
1017#383C2312yes—
1018#383C2311yescharacteristic
1019#383C2311yescharacteristic
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2311yescharacteristic
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2311yescharacteristic
1033#381C2312yes—
1034#381C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#379C2312yes—
1056#379C2311yescharacteristic
1057#379C2311yescharacteristic
1058C4×C4⋊C4C2311yescharacteristic
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2311yescharacteristic
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2311yescharacteristic
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
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—
1094#376C2311yescharacteristic
1095#376C2311yescharacteristic
1096#376C2312yes—
1097#376C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C43C2312yes—
1102C25C2411yescharacteristic
1103C2×#41—24no—
1104C2×#41—42no—
1105C2×#41—42no—
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2411yescharacteristic
1109C22×D4C2412yes—
1110C22×D4C2411yescharacteristic
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2411yescharacteristic
1116C22×D4C2411yescharacteristic
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2412yes—
1134C22×D4C2411yescharacteristic
1135C22×D4C2412yes—
1136C22×D4C2412yes—
1137C23×C4—42no—
1138C23×C4—42no—
1139C23×C4—42no—
1140C23×C4C2411yescharacteristic
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2411yescharacteristic
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C23×C4C2412yes—
1156C23×C4C2412yes—
1157C23×C4C2412yes—
1158#127—44no—
1159#127—82no—
1160#126—44no—
1161#126—44no—
1162#126—82no—
1163#125—42no—
1164#125—44no—
1165#125—44no—
1166#125—82no—
1167#125—82no—
1168#124—28no—
1169#124—42no—
1170#124—44no—
1171#124—82no—
1172#124—82no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
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—44no—
1185#123—44no—
1186#123—82no—
1187#123—82no—
1188#123—82no—
1189#123—82no—
1190#123—82no—
1191#123—82no—
1192#123—82no—
1193C22⋊Q8—28no—
1194C22⋊Q8—28no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—44no—
1198C22⋊Q8—82no—
1199C22⋊Q8—82no—
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—44no—
1213#121—44no—
1214#121—82no—
1215#121—82no—
1216#121—82no—
1217#121—82no—
1218#121—82no—
1219#121—82no—
1220#121—82no—
1221#120—44no—
1222#120—44no—
1223#120—82no—
1224#120—82no—
1225C4×Q8—28no—
1226C4×D4—42no—
1227C4×D4—42no—
1228C4×D4—44no—
1229C4×D4—44no—
1230C4×D4—44no—
1231C4×D4—44no—
1232C4×D4—44no—
1233C4×D4—44no—
1234C4×D4—44no—
1235C4×D4—44no—
1236C4×D4—44no—
1237C4×D4—44no—
1238C4×D4—44no—
1239C4×D4—44no—
1240C4×D4—44no—
1241C4×D4—44no—
1242C4×D4—44no—
1243C4×D4—82no—
1244C4×D4—82no—
1245C4×D4—82no—
1246C4×D4—82no—
1247C4×D4—82no—
1248C4×D4—82no—
1249#117—42no—
1250#117—44no—
1251#117—44no—
1252#117—44no—
1253#117—42no—
1254#117—42no—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2412yes—
1326C2×C22⋊C4—44no—
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⋊C4C2411yescharacteristic
1347C2×C22⋊C4C2411yescharacteristic
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2411yescharacteristic
1354C2×C22⋊C4C2411yescharacteristic
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C42—44no—
1430C2×C42—42no—
1431C2×C42—44no—
1432C2×C42—42no—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2411yescharacteristic
1436C2×C42C2411yescharacteristic
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2411yescharacteristic
1443C2×C42C2411yescharacteristic
1444C2×C42C2411yescharacteristic
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2411yescharacteristic
1458C2×C42C2412yes—
1459C2×C42C2411yescharacteristic
1460C2×C42C2411yescharacteristic
1461#95C2411yescharacteristic
1462#95C2411yescharacteristic
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#95C2411yescharacteristic
1476#95C2411yescharacteristic
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2411yescharacteristic
1541#95C2411yescharacteristic
1542#95C2412yes—
1543#95C2411yescharacteristic
1544#95C2411yescharacteristic
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553C24—22no—
1554C24—42no—
1555C24—41no—
1556C24—41no—
1557C24—42no—
1558C24C2512yes—
1559C24C2512yes—
1560C24C2512yes—
1561C24C2512yes—
1562C24C2512yes—
1563C24C2511yescharacteristic
1564#41—416no—
1565C2×Q8—41no—
1566C2×Q8—41no—
1567C2×Q8—42no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—42no—
1571C2×Q8—41no—
1572C2×Q8H(5,𝔽2)14yes—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—24no—
1576C2×D4—24no—
1577C2×D4—24no—
1578C2×D4—22no—
1579C2×D4—24no—
1580C2×D4—42no—
1581C2×D4—41no—
1582C2×D4—41no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—41no—
1588C2×D4—42no—
1589C2×D4—41no—
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—42no—
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—42no—
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—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—42no—
1641C2×D4—42no—
1642C2×D4—42no—
1643C2×D4—42no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—42no—
1647C2×D4—42no—
1648C2×D4—42no—
1649C2×D4—42no—
1650C2×D4—42no—
1651C2×D4—42no—
1652C2×D4—42no—
1653C2×D4—41no—
1654C22×C4—22no—
1655C22×C4—22no—
1656C22×C4—22no—
1657C22×C4—24no—
1658C22×C4—22no—
1659C22×C4—24no—
1660C22×C4—24no—
1661C22×C4—24no—
1662C22×C4—24no—
1663C22×C4—24no—
1664C22×C4—24no—
1665C22×C4—24no—
1666C22×C4—24no—
1667C22×C4—24no—
1668C22×C4—24no—
1669C22×C4—24no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—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×C4—41no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—41no—
1696C22×C4—42no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—88no—
1709C22×C4C2511yescharacteristic
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2511yescharacteristic
1713C22×C4C2511yescharacteristic
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2512yes—
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2512yes—
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2512yes—
1725C22×C4C2512yes—
1726C22×C4C2512yes—
1727C22×C4C2511yescharacteristic
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2511yescharacteristic
1736C22×C4C2511yescharacteristic
1737C22×C4C2512yes—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—24no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—24no—
1749C4⋊C4—24no—
1750C4⋊C4—24no—
1751C4⋊C4—41no—
1752C4⋊C4—41no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—41no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—41no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—41no—
1806C4⋊C4—41no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—41no—
1829C22⋊C4—41no—
1830C22⋊C4—41no—
1831C22⋊C4—42no—
1832C22⋊C4—41no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C42—24no—
1912C42—24no—
1913C42—24no—
1914C42—24no—
1915C42—22no—
1916C42—22no—
1917C42—24no—
1918C42—41no—
1919C42—42no—
1920C42—41no—
1921C42—41no—
1922C42—42no—
1923C42—42no—
1924C42—41no—
1925C42—42no—
1926C42—41no—
1927C42—41no—
1928C42—42no—
1929C42—42no—
1930C42—42no—
1931C42—42no—
1932C42—42no—
1933C42—42no—
1934C42—42no—
1935C42—42no—
1936C42—42no—
1937C42—42no—
1938C42—42no—
1939C23—21no—
1940C23—21no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—22no—
1956C23—22no—
1957C23—22no—
1958C23—22no—
1959C23—22no—
1960C23—22no—
1961C23—22no—
1962C23—22no—
1963C23—22no—
1964C23—22no—
1965C23—22no—
1966C23—22no—
1967C23—22no—
1968C23—22no—
1969C23—22no—
1970C23—22no—
1971C23—22no—
1972C23—22no—
1973C23—22no—
1974C23—22no—
1975C23—22no—
1976C23—22no—
1977C23—22no—
1978C23—44no—
1979C23—82no—
1980C23—84no—
1981C23—82no—
1982C23—84no—
1983C23#58512yes—
1984C23C2611yescharacteristic
1985Q8—44no—
1986Q8—161no—
1987Q8—162no—
1988D4—48no—
1989D4—44no—
1990D4—48no—
1991D4—44no—
1992D4—44no—
1993D4—84no—
1994D4—84no—
1995D4—84no—
1996D4—84no—
1997D4—84no—
1998D4—84no—
1999D4—84no—
2000D4—84no—
2001D4—84no—
2002D4—84no—
2003D4—84no—
2004D4—84no—
2005D4—84no—
2006D4—162no—
2007D4—162no—
2008D4—161no—
2009D4—162no—
2010D4—162no—
2011D4—162no—
2012D4—162no—
2013D4—162no—
2014D4—162no—
2015D4—162no—
2016C2×C4—28no—
2017C2×C4—22no—
2018C2×C4—21no—
2019C2×C4—21no—
2020C2×C4—21no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—21no—
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—21no—
2038C2×C4—22no—
2039C2×C4—21no—
2040C2×C4—21no—
2041C2×C4—21no—
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—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—48no—
2097C2×C4—84no—
2098C2×C4—84no—
2099C2×C4—84no—
2100C2×C4—84no—
2101C2×C4—84no—
2102C2×C4—84no—
2103C2×C4—84no—
2104C2×C4—84no—
2105C2×C4—84no—
2106C2×C4—84no—
2107C2×C4—82no—
2108C2×C4—84no—
2109C2×C4—162no—
2110C2×C4—162no—
2111C2×C4—162no—
2112C2×C4—162no—
2113C2×C4C2×H(5,𝔽2)14yes—
2114C2×C4C2×H(5,𝔽2)12yes—
2115C2×C4#58512yes—
2116C2×C4#58514yes—
2117C22—22no—
2118C22—24no—
2119C22—41no—
2120C22—42no—
2121C22—41no—
2122C22—42no—
2123C22—42no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22—42no—
2129C22—42no—
2130C22—42no—
2131C22—42no—
2132C22—42no—
2133C22—42no—
2134C22—42no—
2135C22—42no—
2136C22—42no—
2137C22—42no—
2138C22—42no—
2139C22—42no—
2140C22—42no—
2141C22—42no—
2142C22—42no—
2143C22—42no—
2144C22—42no—
2145C22—42no—
2146C22—42no—
2147C22—42no—
2148C22—42no—
2149C22—42no—
2150C22—42no—
2151C22—42no—
2152C22—42no—
2153C22—42no—
2154C22—42no—
2155C22—42no—
2156C22—42no—
2157C22—88no—
2158C22C22×H(5,𝔽2)11yescharacteristic
2159C22C2×#58511yescharacteristic
2160C22C2×#58511yescharacteristic
2161C22C2×#58512yes—
2162C22H(7,𝔽2)12yes—
2163C4—22no—
2164C4—22no—
2165C4—24no—
2166C4—24no—
2167C4—42no—
2168C4—42no—
2169C4—41no—
2170C4—41no—
2171C4—42no—
2172C4—42no—
2173C4—42no—
2174C4—42no—
2175C4—42no—
2176C4—42no—
2177C4—42no—
2178C4—42no—
2179C4—42no—
2180C4—42no—
2181C4—42no—
2182C4—42no—
2183C4—42no—
2184C4—42no—
2185C4—42no—
2186C4—42no—
2187C4—42no—
2188C4—42no—
2189C4—42no—
2190C4—41no—
2191C4—41no—
2192C2—42no—
2193C2—82no—
2194C2—82no—
2195C2—82no—
2196C2—82no—
2197C2—82no—
2198C2#6269411yescharacteristic
2199C2#6282011yescharacteristic
2200C2#6288511yescharacteristic
2201C2#6289912yes—
2202C2#6294112yes—
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. #52682C2semidirect
2. #52673C2semidirect
3. #52632C2semidirect
4. #52632C2semidirect
5. #52541C2semidirect
6. #52536C2semidirect
7. #52526C2semidirect
8. #52512C2semidirect
9. #52497C2semidirect
10. #52493C2semidirect
11. #52489C2semidirect
12. #52484C2semidirect
13. #46318C2semidirect
14. #46308C2semidirect
15. #46274C2semidirect
16. #46264C2semidirect
17. #46133C2semidirect
18. #46106C2semidirect
19. #45951C2semidirect
20. #45917C2semidirect
21. #45913C2semidirect
22. #45773C2semidirect
23. #45766C2semidirect
24. #45471C2semidirect
25. #45461C2semidirect
26. #45449C2semidirect
27. #35442C2semidirect
28. #35425C2semidirect
29. #35420C2semidirect
30. #35419C2semidirect
31. #35071C2semidirect
32. #35056C2semidirect
33. #35040C2semidirect
34. #34742C2semidirect
35. #34727C2semidirect
37. C2×#529C22semidirect
41. #2865C22semidirect
42. #2865C22semidirect
47. #2853C22semidirect
48. #2851C22semidirect
55. #2839C22semidirect
60. #2836C22semidirect
61. #2836C22semidirect
62. #2831C22semidirect
63. #2830C22semidirect
64. #2830C22semidirect
67. #2829C22semidirect
70. #2828C22semidirect
71. #2828C22semidirect
72. #2828C22semidirect
73. #2828C22semidirect
74. #2828C22semidirect
75. #2827C22semidirect
76. #2827C22semidirect
77. #2827C22semidirect
78. #2826C22semidirect
79. #2822C22semidirect
86. #2815C22semidirect
87. #2814C22semidirect
94. #2813C22semidirect
96. #2809C22semidirect
97. #2803C22semidirect
98. #2799C22semidirect
99. #2794C22semidirect
101. #2793C22semidirect
102. #2786C22semidirect
103. #2786C22semidirect
105. #2777C22semidirect
107. #2773C22semidirect
108. #2773C22semidirect
110. #2767C22semidirect
119. #2738C22semidirect
120. #2733C22semidirect
125. #2728C22semidirect
126. #2725C22semidirect
127. #2723C22semidirect
128. #2721C22semidirect
129. #2719C22semidirect
131. #2718C22semidirect
138. #2707C22semidirect
142. #2706C22semidirect
146. #2703C22semidirect
147. #2703C22semidirect
153. #2695C22semidirect
156. #2690C22semidirect
157. #2689C22semidirect
159. #2682C22semidirect
160. #2680C22semidirect
161. #2680C22semidirect
174. #2671C22semidirect
181. #2665C22semidirect
184. #2652C22semidirect
188. #2635C22semidirect
191. #2630C22semidirect
194. #2608C22semidirect
195. #2606C22semidirect
196. #2605C22semidirect
200. #2600C22semidirect
201. #2600C22semidirect
204. #2597C22semidirect
205. #2596C22semidirect
207. #2595C22semidirect
208. #2595C22semidirect
210. #2593C22semidirect
211. #2590C22semidirect
212. #2590C22semidirect
214. #2587C22semidirect
215. #2587C22semidirect
216. #2585C22semidirect
219. #2577C22semidirect
220. #2574C22semidirect
224. #2562C22semidirect
226. #2558C22semidirect
228. #2556C22semidirect
229. #2556C22semidirect
232. #2554C22semidirect
235. #2540C22semidirect
238. #2533C22semidirect
241. #2531C22semidirect
242. #2530C22semidirect
243. #2530C22semidirect
244. #2530C22semidirect
249. #2526C22semidirect
251. #2520C22semidirect
252. #2518C22semidirect
253. #2518C22semidirect
257. #2479C22semidirect
261. #2475C22semidirect
265. #2471C22semidirect
266. #2468C22semidirect
268. #2467C22semidirect
273. #2464C22semidirect
274. #2464C22semidirect
275. #2463C22semidirect
276. #2463C22semidirect
280. #2460C22semidirect
281. #2460C22semidirect
284. #2459C22semidirect
288. #2457C22semidirect
289. #2457C22semidirect
298. #2456C22semidirect
299. #2456C22semidirect
300. #2456C22semidirect
301. #2455C22semidirect
305. #2448C22semidirect
308. #2444C22semidirect
309. #2444C22semidirect
310. #2441C22semidirect
311. #2438C22semidirect
312. #2438C22semidirect
321. #2425C22semidirect
324. #2423C22semidirect
328. #2420C22semidirect
332. #2419C22semidirect
336. #2415C22semidirect
338. #2414C22semidirect
341. #2397C22semidirect
345. #2392C22semidirect
346. #2379C22semidirect
348. #2378C22semidirect
353. #2337C22semidirect
354. #2336C22semidirect
357. #2335C22semidirect
360. #2332C22semidirect
366. C4×#121C22semidirect
367. C4×#121C22semidirect
370. #2295C22semidirect
372. #2290C22semidirect
375. #2275C22semidirect
376. #2275C22semidirect
377. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#526822
#526732
#526322
#525412
#525362
#525262
#525122
#524972
#524932
#524892
#524842
#463182
#463082
#462742
#462642
#461332
#461062
#459512
#459172
#459132
#457732
#457662
#454712
#454612
#454492
#354422
#354252
#354202
#354192
#350712
#350562
#350402
#347422
#347272