Finite Group Databasebeta

← #8108047

Subgroups — #8108047

Order 512.

4903 conjugacy classes of subgroups.

The subgroup lattice has 1946 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53098C212yesmaximal, complemented
2#53069C212yesmaximal, complemented
3#53068C212yesmaximal, complemented
4#53014C212yesmaximal, complemented
5#52994C212yesmaximal, complemented
6#52956C212yesmaximal, complemented
7#45406C212yesmaximal, complemented
8#45382C212yesmaximal, complemented
9#45236C212yesmaximal, complemented
10#45224C212yesmaximal, complemented
11#45216C212yesmaximal, complemented
12#45092C212yesmaximal, complemented
13#42959C212yesmaximal, complemented
14#42953C212yesmaximal, complemented
15#42904C212yesmaximal, complemented
16#42855C212yesmaximal, complemented
17#42752C212yesmaximal, complemented
18#42750C212yesmaximal, complemented
19#42685C212yesmaximal, complemented
20#42674C212yesmaximal, complemented
21#42620C212yesmaximal, complemented
22#42591C212yesmaximal, complemented
23#42570C212yesmaximal, complemented
24#42541C212yesmaximal, complemented
25#36189C211yesmaximal, characteristic, complemented
26#36189C211yesmaximal, characteristic, complemented
27#36182C211yesmaximal, characteristic, complemented
28#36181C211yesmaximal, characteristic, complemented
29#36151C211yesmaximal, characteristic, complemented
30#36150C211yesmaximal, characteristic, complemented
31#36150C211yesmaximal, characteristic, complemented
32#36149C211yesmaximal, characteristic, complemented
33#35297C211yesmaximal, characteristic, complemented
34#35292C211yesmaximal, characteristic, complemented
35#35291C211yesmaximal, characteristic, complemented
36#35288C211yesmaximal, characteristic, complemented
37#35280C211yesmaximal, characteristic, complemented
38#35273C211yesmaximal, characteristic, complemented
39#34547C211yesmaximal, characteristic, complemented
40C2×#553C2212yes—
41C2×#552C2212yes—
42C2×#537C2212yes—
43C2×#533C2211yescharacteristic
44C2×#533C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic
49#2862C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2858C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2857C2211yescharacteristic
57#2857C2211yescharacteristic
58#2857C2211yescharacteristic
59#2857C2211yescharacteristic
60#2857C2211yescharacteristic
61#2857C2211yescharacteristic
62#2856C2211yescharacteristic
63#2856C2211yescharacteristic
64#2856C2211yescharacteristic
65#2841C2214yes—
66#2838C2214yes—
67#2837C2214yes—
68#2836C2214yes—
69#2836C2214yes—
70#2829C2214yes—
71#2829C2214yes—
72#2829C2214yes—
73#2827C2214yes—
74#2826C2214yes—
75#2825C2214yes—
76#2813C2214yes—
77#2800C2214yes—
78#2787C2214yes—
79#2786C2214yes—
80#2786C2214yes—
81#2784C2214yes—
82#2783C2214yes—
83#2781C2214yes—
84#2780C2214yes—
85#2780C2214yes—
86#2779C2214yes—
87#2761C2214yes—
88#2761C2214yes—
89#2756C2214yes—
90#2748C2214yes—
91#2746C2214yes—
92#2744C2214yes—
93#2743C2214yes—
94#2740C2214yes—
95#2740C2214yes—
96#2737C2214yes—
97#2727C2214yes—
98#2725C2214yes—
99#2714C2214yes—
100#2707C2214yes—
101#2705C2214yes—
102#2703C2214yes—
103#2703C2214yes—
104#2703C2214yes—
105#2699C2214yes—
106#2690C2214yes—
107#2689C2214yes—
108#2688C2214yes—
109#2667C2214yes—
110#2654C2214yes—
111#2652C2214yes—
112#2648C2214yes—
113#2648C2214yes—
114#2646C2214yes—
115#2645C2212yes—
116#2644C2212yes—
117#2630C2214yes—
118#2629C2212yes—
119#2629C2212yes—
120#2625C2212yes—
121#2625C2212yes—
122#2624C2212yes—
123#2624C2214yes—
124#2624C2212yes—
125#2620C2212yes—
126#2620C2212yes—
127#2616C2212yes—
128#2615C2212yes—
129#2592C2212yes—
130#2584C2212yes—
131#2582C2212yes—
132#2582C2212yes—
133#2581C2212yes—
134#2580C2212yes—
135#2573C2214yes—
136#2570C2212yes—
137#2570C2212yes—
138#2569C2214yes—
139#2566C2212yes—
140#2565C2212yes—
141#2562C2212yes—
142#2560C2214yes—
143#2559C2214yes—
144#2540C2212yes—
145#2540C2212yes—
146#2540C2212yes—
147#2538C2212yes—
148#2538C2212yes—
149#2538C2212yes—
150#2538C2212yes—
151#2537C2212yes—
152#2537C2212yes—
153#2536C2212yes—
154#2536C2212yes—
155#2535C2212yes—
156#2535C2212yes—
157#2518C2214yes—
158#2514C2212yes—
159#2513C2212yes—
160#2512C2212yes—
161#2512C2212yes—
162#2511C2212yes—
163#2511C2212yes—
164#2509C2212yes—
165#2508C2212yes—
166#2507C2212yes—
167#2507C2212yes—
168#2506C2212yes—
169#2506C2212yes—
170#2504C2212yes—
171#2503C2212yes—
172#2500C2212yes—
173#2499C2212yes—
174#2497C2212yes—
175#2497C2212yes—
176#2496C2212yes—
177#2496C2212yes—
178#2495C2212yes—
179#2494C2212yes—
180#2490C2214yes—
181#2490C2212yes—
182#2490C2212yes—
183#2490C2212yes—
184#2489C2212yes—
185#2489C2212yes—
186#2489C2212yes—
187#2488C2214yes—
188#2487C2212yes—
189#2487C2212yes—
190#2486C2212yes—
191#2486C2212yes—
192#2485C2212yes—
193#2485C2214yes—
194#2485C2212yes—
195#2476C2214yes—
196#2476C2214yes—
197#2454C2212yes—
198#2454C2212yes—
199#2454C2212yes—
200#2453C2212yes—
201#2453C2212yes—
202#2453C2212yes—
203#2448C2212yes—
204#2448C2212yes—
205#2448C2212yes—
206#2447C2212yes—
207#2447C2212yes—
208#2447C2212yes—
209#2444C2214yes—
210#2442C2212yes—
211#2442C2212yes—
212#2441C2212yes—
213#2441C2212yes—
214#2427C2212yes—
215#2427C2212yes—
216#2427C2212yes—
217#2427C2212yes—
218#2427C2212yes—
219#2426C2212yes—
220#2426C2212yes—
221#2426C2212yes—
222#2426C2212yes—
223#2426C2212yes—
224#2423C2212yes—
225#2423C2212yes—
226#2422C2212yes—
227#2422C2212yes—
228#2421C2212yes—
229#2421C2212yes—
230#2421C2212yes—
231#2420C2212yes—
232#2420C2214yes—
233#2420C2212yes—
234#2420C2212yes—
235#2417C2212yes—
236#2417C2212yes—
237#2417C2212yes—
238#2417C2212yes—
239#2417C2212yes—
240#2417C2212yes—
241#2416C2212yes—
242#2416C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2212yes—
246#2416C2212yes—
247#2415C2212yes—
248#2415C2212yes—
249#2415C2212yes—
250#2415C2212yes—
251#2414C2212yes—
252#2414C2212yes—
253#2414C2212yes—
254#2414C2212yes—
255#2407C2212yes—
256#2407C2212yes—
257#2407C2212yes—
258#2407C2212yes—
259#2407C2212yes—
260#2407C2212yes—
261#2399C2211yescharacteristic
262#2398C2211yescharacteristic
263#2398C2211yescharacteristic
264#2397C2211yescharacteristic
265#2396C2211yescharacteristic
266#2396C2211yescharacteristic
267#2396C2211yescharacteristic
268#2396C2211yescharacteristic
269#2395C2211yescharacteristic
270#2395C2211yescharacteristic
271#2395C2211yescharacteristic
272#2395C2211yescharacteristic
273#2392C2211yescharacteristic
274#2392C2211yescharacteristic
275#2392C2211yescharacteristic
276#2392C2211yescharacteristic
277#2392C2211yescharacteristic
278#2392C2211yescharacteristic
279#2392C2211yescharacteristic
280#2392C2211yescharacteristic
281#2388C2211yescharacteristic
282#2388C2211yescharacteristic
283#2388C2211yescharacteristic
284#2388C2211yescharacteristic
285#2367C2212yes—
286#2367C2212yes—
287#2363C2212yes—
288#2363C2212yes—
289#2362C2212yes—
290#2362C2212yes—
291#2361C2212yes—
292#2361C2212yes—
293#2360C2212yes—
294#2360C2212yes—
295#2352C2212yes—
296#2352C2212yes—
297#2351C2212yes—
298#2349C2212yes—
299#2345C2212yes—
300#2345C2212yes—
301#2344C2212yes—
302#2344C2212yes—
303#2341C2212yes—
304#2341C2212yes—
305#2339C2212yes—
306#2339C2212yes—
307#2324C2212yes—
308#2324C2212yes—
309#2324C2212yes—
310#2323C2212yes—
311#2323C2212yes—
312#2323C2212yes—
313#2320C2212yes—
314#2319C2212yes—
315#2316C2212yes—
316#2311C2212yes—
317#2311C2212yes—
318C4×C4⋊Q8C2211yescharacteristic
319C4×C4⋊Q8C2211yescharacteristic
320C4×C4⋊Q8C2211yescharacteristic
321C4×#127C2211yescharacteristic
322#2285C2211yescharacteristic
323#2285C2211yescharacteristic
324C2×#384C2211yescharacteristic
325C2×#384C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C42×D4C2211yescharacteristic
329C42×D4C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C22×#41C2311yescharacteristic
332C22×#41C2312yes—
333C22×#41C2312yes—
334C22×#41C2311yescharacteristic
335#553—48no—
336#552—48no—
337#537—48no—
338#533—44no—
339#533—44no—
340#532—44no—
341#532—44no—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×#127C2311yescharacteristic
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#125C2312yes—
349C2×#125C2312yes—
350C2×#125C2312yes—
351C2×#125C2312yes—
352C2×#125C2314yes—
353C2×#124C2312yes—
354C2×#124C2312yes—
355C2×#124C2312yes—
356C2×#124C2312yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C4×#41—44no—
391C4×#41—44no—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2311yescharacteristic
435C2×#117C2311yescharacteristic
436C2×#117C2312yes—
437C2×#117C2311yescharacteristic
438C2×#117C2311yescharacteristic
439C2×#117C2311yescharacteristic
440C2×#117C2311yescharacteristic
441C2×#117C2311yescharacteristic
442C2×#117C2311yescharacteristic
443C2×#117C2314yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2311yescharacteristic
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2312yes—
454C22×C42C2311yescharacteristic
455C22×C42C2311yescharacteristic
456C22×C42C2311yescharacteristic
457C22×C42C2311yescharacteristic
458C22×C42C2311yescharacteristic
459#401C2314yes—
460#400C2314yes—
461#400C2311yescharacteristic
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#400C2311yescharacteristic
468#400C2314yes—
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#400C2314yes—
473#400C2314yes—
474#400C2314yes—
475#400C2311yescharacteristic
476#400C2311yescharacteristic
477#399C2314yes—
478#399C2311yescharacteristic
479#399C2314yes—
480#399C2314yes—
481#399C2314yes—
482#399C2314yes—
483#399C2311yescharacteristic
484#399C2314yes—
485#399C2311yescharacteristic
486#399C2311yescharacteristic
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2311yescharacteristic
496#398C2311yescharacteristic
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2311yescharacteristic
503#398C2311yescharacteristic
504#398C2311yescharacteristic
505#398C2311yescharacteristic
506#398C2311yescharacteristic
507#398C2311yescharacteristic
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2311yescharacteristic
529#397C2311yescharacteristic
530#397C2311yescharacteristic
531#397C2311yescharacteristic
532#397C2311yescharacteristic
533#397C2311yescharacteristic
534#397C2311yescharacteristic
535#397C2311yescharacteristic
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2311yescharacteristic
552#396C2311yescharacteristic
553#396C2311yescharacteristic
554#396C2311yescharacteristic
555#396C2311yescharacteristic
556#396C2311yescharacteristic
557#396C2311yescharacteristic
558#396C2311yescharacteristic
559#395C2314yes—
560#395C2311yescharacteristic
561#395C2311yescharacteristic
562#395C2311yescharacteristic
563#395C2311yescharacteristic
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2311yescharacteristic
570#394C2314yes—
571#394C2314yes—
572#394C2311yescharacteristic
573#394C2311yescharacteristic
574#394C2311yescharacteristic
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2311yescharacteristic
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2311yescharacteristic
588#394C2311yescharacteristic
589#394C2311yescharacteristic
590#394C2311yescharacteristic
591#394C2311yescharacteristic
592#394C2311yescharacteristic
593#394C2311yescharacteristic
594#394C2311yescharacteristic
595#394C2311yescharacteristic
596#394C2311yescharacteristic
597#394C2311yescharacteristic
598#394C2314yes—
599#394C2314yes—
600#393C2311yescharacteristic
601#393C2314yes—
602#393C2311yescharacteristic
603#393C2311yescharacteristic
604#393C2311yescharacteristic
605#392C2311yescharacteristic
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2314yes—
611#392C2314yes—
612#392C2311yescharacteristic
613#392C2311yescharacteristic
614#392C2311yescharacteristic
615#392C2311yescharacteristic
616#392C2311yescharacteristic
617#392C2311yescharacteristic
618#392C2311yescharacteristic
619#391C2314yes—
620#391C2312yes—
621#391C2312yes—
622#391C2312yes—
623#391C2312yes—
624#391C2312yes—
625#391C2312yes—
626#391C2312yes—
627#391C2312yes—
628#391C2312yes—
629#391C2312yes—
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2312yes—
634#391C2312yes—
635#391C2312yes—
636#390C2314yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2312yes—
643#390C2314yes—
644#390C2314yes—
645#390C2314yes—
646#390C2314yes—
647#390C2312yes—
648#390C2312yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2314yes—
653#390C2314yes—
654#390C2312yes—
655#390C2312yes—
656#390C2312yes—
657#390C2314yes—
658#390C2314yes—
659#390C2312yes—
660#390C2312yes—
661#390C2314yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2314yes—
673#389C2312yes—
674#389C2312yes—
675#389C2314yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2314yes—
681#389C2314yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2314yes—
686#389C2312yes—
687#389C2312yes—
688#389C2312yes—
689#389C2314yes—
690#389C2314yes—
691#389C2312yes—
692#389C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2314yes—
702#389C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#384C2311yescharacteristic
776#384C2311yescharacteristic
777#384C2311yescharacteristic
778#384C2311yescharacteristic
779#384C2312yes—
780#384C2312yes—
781#384C2312yes—
782#384C2312yes—
783#384C2312yes—
784#384C2312yes—
785#383C2314yes—
786#382C2312yes—
787#382C2312yes—
788#382C2312yes—
789#382C2312yes—
790#382C2314yes—
791#382C2312yes—
792#382C2312yes—
793#382C2314yes—
794#381C2314yes—
795#381C2314yes—
796#381C2314yes—
797#381C2314yes—
798#381C2314yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2314yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2314yes—
809#380C2314yes—
810#380C2314yes—
811#380C2314yes—
812#380C2314yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2314yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2314yes—
823#380C2314yes—
824#380C2312yes—
825#380C2312yes—
826#380C2314yes—
827#380C2312yes—
828#380C2312yes—
829#380C2312yes—
830#380C2312yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2312yes—
844C4×C4⋊C4C2312yes—
845C4×C4⋊C4C2312yes—
846C4×C4⋊C4C2311yescharacteristic
847C4×C4⋊C4C2311yescharacteristic
848C4×C4⋊C4C2311yescharacteristic
849C4×C4⋊C4C2311yescharacteristic
850C4×C4⋊C4C2311yescharacteristic
851C4×C4⋊C4C2311yescharacteristic
852C4×C4⋊C4C2311yescharacteristic
853C4×C4⋊C4C2311yescharacteristic
854C4×C4⋊C4C2311yescharacteristic
855C4×C4⋊C4C2311yescharacteristic
856C4×C4⋊C4C2311yescharacteristic
857C4×C4⋊C4C2311yescharacteristic
858C4×C22⋊C4C2314yes—
859C4×C22⋊C4C2314yes—
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2311yescharacteristic
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2314yes—
869C4×C22⋊C4C2314yes—
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876C4×C22⋊C4C2311yescharacteristic
877C4×C22⋊C4C2311yescharacteristic
878C4×C22⋊C4C2311yescharacteristic
879C4×C22⋊C4C2311yescharacteristic
880C4×C22⋊C4C2311yescharacteristic
881C4×C22⋊C4C2311yescharacteristic
882C4×C22⋊C4C2311yescharacteristic
883C4×C22⋊C4C2311yescharacteristic
884C4×C22⋊C4C2311yescharacteristic
885C4×C22⋊C4C2311yescharacteristic
886C4×C22⋊C4C2311yescharacteristic
887C4×C22⋊C4C2311yescharacteristic
888C4×C22⋊C4C2311yescharacteristic
889C4×C22⋊C4C2311yescharacteristic
890#376C2311yescharacteristic
891#376C2311yescharacteristic
892C2×#95C2314yes—
893C43C2311yescharacteristic
894C43C2311yescharacteristic
895C2×#41—24no—
896C2×#41—24no—
897C2×#41—28no—
898C2×#41—42no—
899C2×#41—42no—
900C2×#41—42no—
901C2×#41—42no—
902C2×#41—44no—
903C2×#41—44no—
904C2×#41—44no—
905C2×#41—44no—
906C2×#41—44no—
907C22×Q8C2412yes—
908C22×Q8C2412yes—
909C22×Q8C2412yes—
910C22×Q8C2411yescharacteristic
911C22×Q8C2411yescharacteristic
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2412yes—
915C22×D4C2411yescharacteristic
916C22×D4C2411yescharacteristic
917C22×D4C2411yescharacteristic
918C22×D4C2411yescharacteristic
919C22×D4C2411yescharacteristic
920C22×D4C2411yescharacteristic
921C22×D4C2411yescharacteristic
922C22×D4C2414yes—
923C22×D4C2414yes—
924C22×D4C2411yescharacteristic
925C22×D4C2411yescharacteristic
926C22×D4C2411yescharacteristic
927C22×D4C2414yes—
928C22×D4C2414yes—
929C22×D4C2414yes—
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2411yescharacteristic
940C23×C4C2411yescharacteristic
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C23×C4C2414yes—
946C23×C4C2414yes—
947C23×C4C2414yes—
948C23×C4C2414yes—
949C23×C4C2414yes—
950C4⋊Q8—24no—
951C4⋊Q8—24no—
952C4⋊Q8—24no—
953#127—24no—
954#126—48no—
955#126—48no—
956#125—44no—
957#125—44no—
958#125—44no—
959#125—44no—
960#125—48no—
961#124—44no—
962#124—44no—
963#124—44no—
964#124—44no—
965#123—48no—
966#123—48no—
967C22⋊Q8—28no—
968C22⋊Q8—48no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974C22⋊Q8—44no—
975C22⋊Q8—44no—
976C22⋊Q8—44no—
977C22⋊Q8—44no—
978C22⋊Q8—44no—
979C22⋊Q8—44no—
980C22⋊Q8—44no—
981#121—28no—
982#121—48no—
983#121—48no—
984#121—48no—
985#121—44no—
986#121—44no—
987#121—44no—
988#121—44no—
989#121—44no—
990#121—44no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—44no—
996#121—44no—
997#121—48no—
998C4×Q8—42no—
999C4×Q8—42no—
1000C4×Q8—42no—
1001C4×Q8—42no—
1002C4×Q8—44no—
1003C4×Q8—44no—
1004C4×Q8—44no—
1005C4×Q8—44no—
1006C4×Q8—44no—
1007C4×Q8—44no—
1008C4×Q8—44no—
1009C4×D4—24no—
1010C4×D4—24no—
1011C4×D4—24no—
1012C4×D4—24no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—42no—
1021C4×D4—42no—
1022C4×D4—42no—
1023C4×D4—42no—
1024C4×D4—42no—
1025C4×D4—42no—
1026C4×D4—42no—
1027C4×D4—42no—
1028C4×D4—42no—
1029C4×D4—42no—
1030C4×D4—42no—
1031C4×D4—42no—
1032C4×D4—42no—
1033C4×D4—42no—
1034C4×D4—42no—
1035C4×D4—42no—
1036C4×D4—42no—
1037C4×D4—42no—
1038C4×D4—42no—
1039C4×D4—42no—
1040C4×D4—48no—
1041#117—42no—
1042#117—42no—
1043#117—42no—
1044#117—42no—
1045#117—42no—
1046#117—42no—
1047#117—42no—
1048#117—42no—
1049#117—48no—
1050#117—44no—
1051#117—44no—
1052#117—44no—
1053#117—44no—
1054C2×C4⋊C4—28no—
1055C2×C4⋊C4—44no—
1056C2×C4⋊C4—44no—
1057C2×C4⋊C4—44no—
1058C2×C4⋊C4—44no—
1059C2×C4⋊C4—44no—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C42—24no—
1206C2×C42—24no—
1207C2×C42—24no—
1208C2×C42—24no—
1209C2×C42—24no—
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2411yescharacteristic
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2414yes—
1238C2×C42C2414yes—
1239C2×C42C2414yes—
1240C2×C42C2414yes—
1241C2×C42C2414yes—
1242C2×C42C2414yes—
1243C2×C42C2414yes—
1244C2×C42C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2411yescharacteristic
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2411yescharacteristic
1271#95C2411yescharacteristic
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2411yescharacteristic
1275#95C2411yescharacteristic
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2411yescharacteristic
1279#95C2411yescharacteristic
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313C24C2511yescharacteristic
1314C24C2511yescharacteristic
1315C24C2514yes—
1316C24C2511yescharacteristic
1317C24C2511yescharacteristic
1318C24C2511yescharacteristic
1319#41—416no—
1320#41—416no—
1321#41—816no—
1322#41—816no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—24no—
1327C2×Q8—22no—
1328C2×Q8—22no—
1329C2×Q8—24no—
1330C2×Q8—24no—
1331C2×Q8—24no—
1332C2×Q8—24no—
1333C2×Q8—24no—
1334C2×Q8—41no—
1335C2×Q8—41no—
1336C2×Q8—41no—
1337C2×Q8—41no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—28no—
1347C2×D4—28no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—28no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—28no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4H(5,𝔽2)14yes—
1451C22×C42−1+414yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2514yes—
1463C22×C4C2514yes—
1464C22×C4C2514yes—
1465C22×C4C2514yes—
1466C22×C4C2514yes—
1467C22×C4C2514yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2514yes—
1472C22×C4C2511yescharacteristic
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C22×C4C2511yescharacteristic
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—28no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—28no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—41no—
1515C4⋊C4—41no—
1516C4⋊C4—41no—
1517C4⋊C4—41no—
1518C4⋊C4—41no—
1519C4⋊C4—41no—
1520C4⋊C4—41no—
1521C4⋊C4—41no—
1522C4⋊C4—41no—
1523C4⋊C4—41no—
1524C4⋊C4—41no—
1525C4⋊C4—41no—
1526C4⋊C4—41no—
1527C4⋊C4—41no—
1528C4⋊C4—41no—
1529C4⋊C4—41no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—41no—
1533C4⋊C4—41no—
1534C4⋊C4—41no—
1535C4⋊C4—41no—
1536C4⋊C4—41no—
1537C4⋊C4—41no—
1538C4⋊C4—41no—
1539C4⋊C4—41no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C22⋊C4—22no—
1558C22⋊C4—28no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—28no—
1565C22⋊C4—22no—
1566C22⋊C4—22no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—41no—
1573C22⋊C4—41no—
1574C22⋊C4—41no—
1575C22⋊C4—41no—
1576C22⋊C4—41no—
1577C22⋊C4—41no—
1578C22⋊C4—41no—
1579C22⋊C4—41no—
1580C22⋊C4—41no—
1581C22⋊C4—41no—
1582C22⋊C4—41no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—41no—
1588C22⋊C4—41no—
1589C22⋊C4—41no—
1590C22⋊C4—41no—
1591C22⋊C4—41no—
1592C22⋊C4—41no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—41no—
1596C22⋊C4—41no—
1597C22⋊C4—41no—
1598C22⋊C4—41no—
1599C22⋊C4—41no—
1600C22⋊C4—41no—
1601C22⋊C4—41no—
1602C22⋊C4—41no—
1603C22⋊C4—41no—
1604C22⋊C4—41no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C42—22no—
1631C42—22no—
1632C42—22no—
1633C42—22no—
1634C42—22no—
1635C42—22no—
1636C42—22no—
1637C42—22no—
1638C42—22no—
1639C42—22no—
1640C42—22no—
1641C42—22no—
1642C42—22no—
1643C42—22no—
1644C42—22no—
1645C42—22no—
1646C42—22no—
1647C42—22no—
1648C42—22no—
1649C42—22no—
1650C42—22no—
1651C42—22no—
1652C42—22no—
1653C42—22no—
1654C42—22no—
1655C42—22no—
1656C42—22no—
1657C42—44no—
1658C42—44no—
1659C42—44no—
1660C42—44no—
1661C42—44no—
1662C42—44no—
1663C42—44no—
1664C42H(5,𝔽2)14yes—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—24no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—24no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—24no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—24no—
1694C23—24no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—24no—
1699C23—24no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—21no—
1704C23—21no—
1705C23C2×H(5,𝔽2)12yes—
1706C23C2×2−1+412yes—
1707C23C2611yescharacteristic
1708Q8—44no—
1709Q8—44no—
1710Q8—48no—
1711Q8—48no—
1712Q8—48no—
1713D4—44no—
1714D4—44no—
1715D4—44no—
1716D4—44no—
1717D4—44no—
1718D4—44no—
1719D4—44no—
1720D4—44no—
1721D4—44no—
1722D4—44no—
1723D4—48no—
1724D4—48no—
1725D4—48no—
1726D4—88no—
1727D4—88no—
1728D4—88no—
1729D4—164no—
1730D4—164no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—28no—
1736C2×C4—28no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—24no—
1757C2×C4—24no—
1758C2×C4—24no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—24no—
1762C2×C4—24no—
1763C2×C4—24no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—24no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—24no—
1790C2×C4—24no—
1791C2×C4—24no—
1792C2×C4—24no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—24no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—24no—
1801C2×C4—24no—
1802C2×C4—24no—
1803C2×C4—24no—
1804C2×C4—24no—
1805C2×C4—24no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—24no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—44no—
1822C2×C4—44no—
1823C2×C4—44no—
1824C2×C4—44no—
1825C2×C4—44no—
1826C2×C4—44no—
1827C2×C4—44no—
1828C2×C4—44no—
1829C2×C4—44no—
1830C2×C4—44no—
1831C2×C4—44no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—88no—
1835C2×C4—88no—
1836C2×C4—88no—
1837C2×C4—164no—
1838C2×C4—164no—
1839C2×C4C2×H(5,𝔽2)12yes—
1840C2×C4C2×H(5,𝔽2)12yes—
1841C2×C4C2×H(5,𝔽2)12yes—
1842C2×C4C2×H(5,𝔽2)12yes—
1843C2×C4C2×H(5,𝔽2)12yes—
1844C2×C4C2×2−1+412yes—
1845C2×C4C2×2−1+412yes—
1846C2×C4#58512yes—
1847C2×C4#58512yes—
1848C2×C4#58512yes—
1849C2×C4#58512yes—
1850C22—22no—
1851C22—22no—
1852C22—22no—
1853C22—22no—
1854C22—22no—
1855C22—22no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—44no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—44no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—44no—
1876C22—44no—
1877C22—41no—
1878C22—41no—
1879C22—44no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—44no—
1891C22—44no—
1892C22C22×H(5,𝔽2)11yescharacteristic
1893C22C22×H(5,𝔽2)11yescharacteristic
1894C22C22×2−1+411yescharacteristic
1895C22C2×#58511yescharacteristic
1896C22C2×#58511yescharacteristic
1897C22C2×#58511yescharacteristic
1898C22C2×#58511yescharacteristic
1899C4—22no—
1900C4—22no—
1901C4—41no—
1902C4—41no—
1903C4—41no—
1904C4—44no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—41no—
1909C4—41no—
1910C4—44no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—44no—
1917C4—41no—
1918C4—44no—
1919C4—44no—
1920C4—41no—
1921C4—44no—
1922C4—44no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4#353614yes—
1930C4#353914yes—
1931C4#355114yes—
1932C2—42no—
1933C2—42no—
1934C2—81no—
1935C2—81no—
1936C2—81no—
1937C2—84no—
1938C2C2×#353611yescharacteristic
1939C2C2×#353911yescharacteristic
1940C2C2×#355111yescharacteristic
1941C2#6283611yescharacteristic
1942C2#6283611yescharacteristic
1943C2#6283811yescharacteristic
1944C2#6283811yescharacteristic
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. #53098C2semidirect
2. #53069C2semidirect
3. #53068C2semidirect
4. #53014C2semidirect
5. #52994C2semidirect
6. #52956C2semidirect
7. #45406C2semidirect
8. #45382C2semidirect
9. #45236C2semidirect
10. #45224C2semidirect
11. #45216C2semidirect
12. #45092C2semidirect
13. #42959C2semidirect
14. #42953C2semidirect
15. #42904C2semidirect
16. #42855C2semidirect
17. #42752C2semidirect
18. #42750C2semidirect
19. #42685C2semidirect
20. #42674C2semidirect
21. #42620C2semidirect
22. #42591C2semidirect
23. #42570C2semidirect
24. #42541C2semidirect
25. #36189C2semidirect
26. #36189C2semidirect
27. #36182C2semidirect
28. #36181C2semidirect
29. #36151C2semidirect
30. #36150C2semidirect
31. #36150C2semidirect
32. #36149C2semidirect
33. #35297C2semidirect
34. #35292C2semidirect
35. #35291C2semidirect
36. #35288C2semidirect
37. #35280C2semidirect
38. #35273C2semidirect
39. #34547C2semidirect

Maximal subgroups

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

subgroupindex
#530982
#530692
#530682
#530142
#529942
#529562
#454062
#453822
#452362
#452242
#452162
#450922
#429592
#429532
#429042
#428552
#427522
#427502
#426852
#426742
#426202
#425912
#425702
#425412
#361892
#361822
#361812
#361512
#361502
#361492
#352972
#352922
#352912
#352882
#352802
#352732
#345472