Finite Group Databasebeta

← #7712509

Subgroups — #7712509

Order 512.

5282 conjugacy classes of subgroups.

The subgroup lattice has 1944 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59581C212yesmaximal, complemented
2#59483C212yesmaximal, complemented
3#59102C212yesmaximal, complemented
4#59101C212yesmaximal, complemented
5#46084C212yesmaximal, complemented
6#46074C212yesmaximal, complemented
7#45716C212yesmaximal, complemented
8#45689C212yesmaximal, complemented
9#40129C212yesmaximal, complemented
10#40057C212yesmaximal, complemented
11#40033C212yesmaximal, complemented
12#39961C212yesmaximal, complemented
13#39287C212yesmaximal, complemented
14#39284C212yesmaximal, complemented
15#39237C212yesmaximal, complemented
16#39227C212yesmaximal, complemented
17#39142C212yesmaximal, complemented
18#39130C212yesmaximal, complemented
19#39009C212yesmaximal, complemented
20#38997C212yesmaximal, complemented
21#37570C212yesmaximal, complemented
22#37372C212yesmaximal, complemented
23#37362C212yesmaximal, complemented
24#36639C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36598C211yesmaximal, characteristic, complemented
27#36595C211yesmaximal, characteristic, complemented
28#36151C211yesmaximal, characteristic, complemented
29#36150C211yesmaximal, characteristic, complemented
30#36150C211yesmaximal, characteristic, complemented
31#36149C211yesmaximal, characteristic, complemented
32#36128C211yesmaximal, characteristic, complemented
33#36127C211yesmaximal, characteristic, complemented
34#35298C211yesmaximal, characteristic, complemented
35#35293C211yesmaximal, characteristic, complemented
36#35291C211yesmaximal, characteristic, complemented
37#35288C211yesmaximal, characteristic, complemented
38#34500C212yesmaximal, complemented
39C4×#529C211yesmaximal, characteristic, complemented
40C2×#559C2212yes—
41C2×#550C2212yes—
42C2×#547C2212yes—
43C2×#533C2211yescharacteristic
44C2×#533C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic
47C2×#532C2211yescharacteristic
48C2×#532C2211yescharacteristic
49C2×#529C2211yescharacteristic
50C2×#529C2212yes—
51#2868C2211yescharacteristic
52#2867C2211yescharacteristic
53#2862C2211yescharacteristic
54#2862C2211yescharacteristic
55#2862C2211yescharacteristic
56#2861C2212yes—
57#2861C2212yes—
58#2861C2212yes—
59#2860C2212yes—
60#2860C2212yes—
61#2859C2211yescharacteristic
62#2858C2211yescharacteristic
63#2858C2211yescharacteristic
64#2858C2211yescharacteristic
65#2858C2211yescharacteristic
66#2857C2211yescharacteristic
67#2857C2211yescharacteristic
68#2857C2211yescharacteristic
69#2857C2211yescharacteristic
70#2856C2211yescharacteristic
71#2856C2211yescharacteristic
72#2854C2212yes—
73#2854C2212yes—
74#2850C2212yes—
75#2850C2212yes—
76#2850C2212yes—
77#2850C2212yes—
78#2850C2212yes—
79#2837C2214yes—
80#2828C2214yes—
81#2803C2214yes—
82#2803C2214yes—
83#2800C2214yes—
84#2786C2214yes—
85#2782C2214yes—
86#2781C2214yes—
87#2779C2214yes—
88#2778C2214yes—
89#2778C2214yes—
90#2761C2214yes—
91#2756C2214yes—
92#2753C2214yes—
93#2753C2214yes—
94#2753C2214yes—
95#2753C2214yes—
96#2753C2214yes—
97#2750C2214yes—
98#2749C2214yes—
99#2743C2214yes—
100#2741C2214yes—
101#2740C2214yes—
102#2733C2214yes—
103#2730C2214yes—
104#2709C2214yes—
105#2709C2214yes—
106#2708C2214yes—
107#2706C2214yes—
108#2703C2214yes—
109#2701C2214yes—
110#2694C2214yes—
111#2688C2214yes—
112#2673C2214yes—
113#2661C2214yes—
114#2649C2214yes—
115#2648C2214yes—
116#2648C2214yes—
117#2645C2212yes—
118#2644C2212yes—
119#2625C2212yes—
120#2624C2212yes—
121#2620C2212yes—
122#2620C2212yes—
123#2619C2212yes—
124#2619C2212yes—
125#2602C2214yes—
126#2597C2214yes—
127#2591C2214yes—
128#2582C2212yes—
129#2578C2214yes—
130#2576C2214yes—
131#2571C2212yes—
132#2570C2212yes—
133#2570C2212yes—
134#2568C2212yes—
135#2566C2212yes—
136#2566C2212yes—
137#2559C2214yes—
138#2554C2214yes—
139#2554C2214yes—
140#2548C2212yes—
141#2548C2212yes—
142#2548C2212yes—
143#2548C2212yes—
144#2547C2212yes—
145#2545C2212yes—
146#2545C2212yes—
147#2544C2212yes—
148#2544C2212yes—
149#2544C2212yes—
150#2544C2212yes—
151#2544C2212yes—
152#2544C2212yes—
153#2541C2212yes—
154#2541C2212yes—
155#2540C2212yes—
156#2540C2212yes—
157#2537C2212yes—
158#2537C2212yes—
159#2536C2212yes—
160#2535C2212yes—
161#2514C2212yes—
162#2513C2212yes—
163#2511C2212yes—
164#2511C2212yes—
165#2510C2214yes—
166#2509C2212yes—
167#2508C2212yes—
168#2500C2212yes—
169#2500C2212yes—
170#2495C2212yes—
171#2494C2212yes—
172#2490C2212yes—
173#2490C2212yes—
174#2490C2212yes—
175#2489C2212yes—
176#2489C2212yes—
177#2489C2212yes—
178#2481C2214yes—
179#2476C2214yes—
180#2471C2214yes—
181#2467C2214yes—
182#2466C2214yes—
183#2457C2214yes—
184#2456C2214yes—
185#2454C2212yes—
186#2454C2212yes—
187#2454C2212yes—
188#2453C2212yes—
189#2453C2212yes—
190#2453C2212yes—
191#2448C2212yes—
192#2448C2212yes—
193#2448C2212yes—
194#2447C2212yes—
195#2447C2212yes—
196#2447C2212yes—
197#2446C2212yes—
198#2446C2212yes—
199#2445C2212yes—
200#2445C2212yes—
201#2445C2212yes—
202#2445C2214yes—
203#2445C2212yes—
204#2444C2214yes—
205#2432C2212yes—
206#2432C2212yes—
207#2432C2212yes—
208#2432C2212yes—
209#2431C2212yes—
210#2431C2212yes—
211#2431C2212yes—
212#2431C2212yes—
213#2431C2212yes—
214#2431C2212yes—
215#2428C2212yes—
216#2428C2212yes—
217#2428C2212yes—
218#2428C2212yes—
219#2427C2212yes—
220#2427C2212yes—
221#2427C2212yes—
222#2427C2212yes—
223#2427C2212yes—
224#2426C2212yes—
225#2426C2212yes—
226#2426C2212yes—
227#2426C2212yes—
228#2426C2212yes—
229#2422C2212yes—
230#2422C2212yes—
231#2422C2212yes—
232#2422C2212yes—
233#2421C2212yes—
234#2421C2212yes—
235#2421C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2420C2212yes—
239#2415C2212yes—
240#2415C2212yes—
241#2414C2212yes—
242#2414C2212yes—
243#2407C2212yes—
244#2407C2212yes—
245#2407C2212yes—
246#2407C2212yes—
247#2379C2214yes—
248#2376C2214yes—
249#2367C2212yes—
250#2367C2212yes—
251#2366C2212yes—
252#2366C2212yes—
253#2366C2212yes—
254#2366C2212yes—
255#2365C2212yes—
256#2363C2212yes—
257#2363C2212yes—
258#2362C2212yes—
259#2362C2212yes—
260#2359C2214yes—
261#2355C2212yes—
262#2355C2212yes—
263#2352C2214yes—
264#2351C2212yes—
265#2349C2212yes—
266D4×C4⋊C4C2212yes—
267D4×C4⋊C4C2212yes—
268#2341C2212yes—
269#2341C2212yes—
270#2339C2212yes—
271#2339C2212yes—
272#2337C2214yes—
273#2335C2214yes—
274#2328C2212yes—
275#2328C2212yes—
276#2326C2212yes—
277#2326C2212yes—
278#2324C2212yes—
279#2323C2212yes—
280#2322C2214yes—
281#2320C2212yes—
282#2319C2212yes—
283#2318C2214yes—
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2211yescharacteristic
286C4×C4⋊Q8C2211yescharacteristic
287C4×C4⋊Q8C2211yescharacteristic
288C4×#127C2211yescharacteristic
289C4×#127C2211yescharacteristic
290C4×#125C2211yescharacteristic
291C4×#125C2211yescharacteristic
292C4×#126C2211yescharacteristic
293C4×#126C2211yescharacteristic
294C4×#126C2211yescharacteristic
295C4×#126C2211yescharacteristic
296C4×#124C2211yescharacteristic
297C4×#124C2212yes—
298C4×#124C2212yes—
299C4×#124C2212yes—
300C4×#124C2212yes—
301C4×#124C2212yes—
302C4×#124C2211yescharacteristic
303C4×C22⋊Q8C2211yescharacteristic
304C4×C22⋊Q8C2211yescharacteristic
305C4×#123C2211yescharacteristic
306C4×#123C2211yescharacteristic
307C4×#123C2211yescharacteristic
308C4×#123C2211yescharacteristic
309C4×#121C2212yes—
310C4×#121C2212yes—
311C4×#121C2211yescharacteristic
312C4×#121C2211yescharacteristic
313#2298C2211yescharacteristic
314#2298C2211yescharacteristic
315#2297C2212yes—
316#2297C2212yes—
317#2295C2211yescharacteristic
318#2293C2212yes—
319#2293C2212yes—
320#2293C2211yescharacteristic
321#2290C2211yescharacteristic
322#2290C2211yescharacteristic
323#2283C2211yescharacteristic
324C42×Q8C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C2×C43C2211yescharacteristic
331C22×#41C2312yes—
332C22×#41C2312yes—
333C22×#41C2312yes—
334C22×#41C2312yes—
335#559—216no—
336#550—48no—
337#547—48no—
338#533—44no—
339#533—44no—
340#532—44no—
341#532—44no—
342#532—44no—
343#532—44no—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×#127C2311yescharacteristic
351C2×#127C2311yescharacteristic
352C2×#127C2312yes—
353C2×#127C2312yes—
354C2×#127C2312yes—
355C2×#127C2312yes—
356C2×#127C2312yes—
357C2×#127C2312yes—
358C2×#127C2314yes—
359#529—28no—
360#529—48no—
361C2×#126C2311yescharacteristic
362C2×#126C2311yescharacteristic
363C2×#126C2314yes—
364C2×#125C2311yescharacteristic
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2312yes—
371C2×#124C2311yescharacteristic
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2311yescharacteristic
385C2×#123C2311yescharacteristic
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×#121C2312yes—
399C2×#121C2311yescharacteristic
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2311yescharacteristic
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2314yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2314yes—
453C2×#117C2311yescharacteristic
454C2×#117C2311yescharacteristic
455C2×#117C2314yes—
456C2×#117C2312yes—
457C2×#117C2312yes—
458C2×#117C2311yescharacteristic
459C2×#117C2311yescharacteristic
460C22×C4⋊C4C2314yes—
461C22×C42C2311yescharacteristic
462C22×C42C2311yescharacteristic
463C22×C42C2311yescharacteristic
464C22×C42C2311yescharacteristic
465C22×C42C2311yescharacteristic
466C22×C42C2311yescharacteristic
467C22×C42C2311yescharacteristic
468C22×C42C2311yescharacteristic
469C22×C42C2311yescharacteristic
470#401C2314yes—
471#400C2314yes—
472#400C2314yes—
473#400C2314yes—
474#400C2314yes—
475#400C2314yes—
476#400C2314yes—
477#400C2314yes—
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#399C2314yes—
482#399C2314yes—
483#399C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2311yescharacteristic
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2311yescharacteristic
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2314yes—
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2314yes—
613#390C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2314yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2314yes—
631#389C2312yes—
632#389C2314yes—
633#389C2314yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#388C2311yescharacteristic
643#388C2311yescharacteristic
644#388C2311yescharacteristic
645#388C2311yescharacteristic
646#388C2311yescharacteristic
647#388C2311yescharacteristic
648#388C2311yescharacteristic
649#388C2311yescharacteristic
650#388C2311yescharacteristic
651#388C2311yescharacteristic
652#388C2311yescharacteristic
653#388C2311yescharacteristic
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2311yescharacteristic
690#388C2311yescharacteristic
691#388C2311yescharacteristic
692#388C2311yescharacteristic
693#387C2311yescharacteristic
694#387C2311yescharacteristic
695#387C2311yescharacteristic
696#387C2311yescharacteristic
697#387C2311yescharacteristic
698#387C2311yescharacteristic
699#387C2311yescharacteristic
700#387C2311yescharacteristic
701#387C2311yescharacteristic
702#387C2311yescharacteristic
703#387C2311yescharacteristic
704#387C2311yescharacteristic
705#387C2311yescharacteristic
706#387C2311yescharacteristic
707#387C2311yescharacteristic
708#387C2311yescharacteristic
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2311yescharacteristic
750#386C2311yescharacteristic
751#386C2311yescharacteristic
752#386C2311yescharacteristic
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2311yescharacteristic
767#385C2311yescharacteristic
768#385C2311yescharacteristic
769#385C2311yescharacteristic
770#384C2311yescharacteristic
771#384C2311yescharacteristic
772#384C2312yes—
773#384C2312yes—
774#384C2312yes—
775#384C2312yes—
776#383C2311yescharacteristic
777#383C2311yescharacteristic
778#383C2314yes—
779#382C2311yescharacteristic
780#382C2311yescharacteristic
781#382C2312yes—
782#382C2312yes—
783#382C2314yes—
784#382C2312yes—
785#382C2312yes—
786#382C2312yes—
787#382C2312yes—
788#382C2314yes—
789#382C2314yes—
790#382C2312yes—
791#381C2314yes—
792#381C2314yes—
793#381C2314yes—
794#381C2311yescharacteristic
795#381C2311yescharacteristic
796#380C2314yes—
797#380C2314yes—
798#380C2314yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2314yes—
806#380C2314yes—
807#380C2312yes—
808#380C2312yes—
809#380C2314yes—
810#380C2311yescharacteristic
811#380C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2314yes—
844C4×C4⋊C4C2314yes—
845C4×C4⋊C4C2311yescharacteristic
846C4×C4⋊C4C2311yescharacteristic
847C4×C4⋊C4C2311yescharacteristic
848C4×C22⋊C4C2311yescharacteristic
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2311yescharacteristic
853C4×C22⋊C4C2311yescharacteristic
854C4×C22⋊C4C2311yescharacteristic
855C4×C22⋊C4C2311yescharacteristic
856C4×C22⋊C4C2311yescharacteristic
857C4×C22⋊C4C2311yescharacteristic
858C4×C22⋊C4C2311yescharacteristic
859C4×C22⋊C4C2311yescharacteristic
860C4×C22⋊C4C2314yes—
861C4×C22⋊C4C2314yes—
862C4×C22⋊C4C2314yes—
863C4×C22⋊C4C2314yes—
864C4×C22⋊C4C2314yes—
865C4×C22⋊C4C2314yes—
866C4×C22⋊C4C2314yes—
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
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⋊C4C2314yes—
882#376C2311yescharacteristic
883#376C2311yescharacteristic
884#376C2311yescharacteristic
885#376C2311yescharacteristic
886C2×#95C2314yes—
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C43C2311yescharacteristic
893C43C2311yescharacteristic
894C43C2311yescharacteristic
895C43C2311yescharacteristic
896C43C2311yescharacteristic
897C2×#41—28no—
898C2×#41—44no—
899C2×#41—44no—
900C2×#41—44no—
901C2×#41—44no—
902C2×#41—44no—
903C2×#41—44no—
904C2×#41—44no—
905C2×#41—44no—
906C2×#41—44no—
907C2×#41—44no—
908C2×#41—44no—
909C22×Q8C2412yes—
910C22×Q8C2412yes—
911C22×Q8C2412yes—
912C22×Q8C2412yes—
913C22×Q8C2411yescharacteristic
914C22×D4C2412yes—
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2412yes—
918C22×D4C2412yes—
919C22×D4C2412yes—
920C22×D4C2411yescharacteristic
921C22×D4C2411yescharacteristic
922C22×D4C2411yescharacteristic
923C22×D4C2414yes—
924C22×D4C2414yes—
925C22×D4C2414yes—
926C22×D4C2414yes—
927C22×D4C2414yes—
928C22×D4C2414yes—
929C22×D4C2414yes—
930C22×D4C2414yes—
931C22×D4C2414yes—
932C22×D4C2414yes—
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2411yescharacteristic
940C23×C4C2411yescharacteristic
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2414yes—
944C23×C4C2414yes—
945C23×C4C2414yes—
946C23×C4C2411yescharacteristic
947C23×C4C2411yescharacteristic
948C23×C4C2414yes—
949C23×C4C2414yes—
950C23×C4C2414yes—
951C23×C4C2411yescharacteristic
952C4⋊Q8—24no—
953C4⋊Q8—24no—
954C4⋊Q8—24no—
955C4⋊Q8—24no—
956C4⋊Q8—44no—
957C4⋊Q8—44no—
958#127—28no—
959#127—24no—
960#127—24no—
961#127—44no—
962#127—44no—
963#127—44no—
964#127—44no—
965#127—44no—
966#127—48no—
967#126—24no—
968#126—24no—
969#126—48no—
970#125—24no—
971#125—44no—
972#125—44no—
973#125—44no—
974#124—24no—
975#124—216no—
976#124—28no—
977#124—28no—
978#124—44no—
979#124—44no—
980#124—44no—
981#124—44no—
982#124—44no—
983#124—44no—
984#124—44no—
985#124—44no—
986#124—44no—
987#124—44no—
988#123—24no—
989#123—24no—
990#123—216no—
991#123—216no—
992#123—48no—
993#123—48no—
994#123—48no—
995C22⋊Q8—24no—
996C22⋊Q8—28no—
997C22⋊Q8—44no—
998C22⋊Q8—44no—
999C22⋊Q8—44no—
1000C22⋊Q8—44no—
1001C22⋊Q8—44no—
1002C22⋊Q8—44no—
1003C22⋊Q8—44no—
1004#121—28no—
1005#121—24no—
1006#121—48no—
1007#121—48no—
1008#121—48no—
1009#121—44no—
1010#121—44no—
1011#121—44no—
1012#121—44no—
1013#121—44no—
1014#121—44no—
1015#121—44no—
1016#121—44no—
1017#121—44no—
1018#121—44no—
1019#121—44no—
1020#121—44no—
1021#121—44no—
1022C4×Q8—28no—
1023C4×Q8—42no—
1024C4×Q8—42no—
1025C4×Q8—44no—
1026C4×Q8—44no—
1027C4×Q8—44no—
1028C4×Q8—44no—
1029C4×Q8—44no—
1030C4×Q8—44no—
1031C4×Q8—44no—
1032C4×Q8#4118yescomplemented
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—216no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—24no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—44no—
1042C4×D4—44no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—44no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—44no—
1049C4×D4—44no—
1050C4×D4—44no—
1051C4×D4—44no—
1052C4×D4—44no—
1053C4×D4—42no—
1054C4×D4—42no—
1055C4×D4—42no—
1056C4×D4—42no—
1057C4×D4—48no—
1058C4×D4—48no—
1059#117—24no—
1060#117—24no—
1061#117—42no—
1062#117—42no—
1063#117—48no—
1064#117—44no—
1065#117—44no—
1066C2×C4⋊C4—48no—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
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×C42—24no—
1194C2×C42—24no—
1195C2×C42—24no—
1196C2×C42—24no—
1197C2×C42—24no—
1198C2×C42—42no—
1199C2×C42—42no—
1200C2×C42—42no—
1201C2×C42—42no—
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2414yes—
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×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253C2×C42C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
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#95C2411yescharacteristic
1281#95C2411yescharacteristic
1282#95C2411yescharacteristic
1283#95C2411yescharacteristic
1284#95C2411yescharacteristic
1285#95C2411yescharacteristic
1286#95C2411yescharacteristic
1287#95C2411yescharacteristic
1288#95C2411yescharacteristic
1289#95C2411yescharacteristic
1290#95C2411yescharacteristic
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#95C2411yescharacteristic
1305#95C2411yescharacteristic
1306#95C2411yescharacteristic
1307#95C2411yescharacteristic
1308#95C2411yescharacteristic
1309#95C2411yescharacteristic
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324C24C2511yescharacteristic
1325C24C2511yescharacteristic
1326C24C2514yes—
1327C24C2514yes—
1328C24C2511yescharacteristic
1329#41—816no—
1330#41—816no—
1331#41—816no—
1332#41—816no—
1333C2×Q8—24no—
1334C2×Q8—24no—
1335C2×Q8—24no—
1336C2×Q8—24no—
1337C2×Q8—24no—
1338C2×Q8—24no—
1339C2×Q8—24no—
1340C2×Q8—24no—
1341C2×Q8—24no—
1342C2×Q8—24no—
1343C2×Q8—24no—
1344C2×Q8—24no—
1345C2×Q8—41no—
1346C2×Q8—41no—
1347C2×Q8C2×#4114yes—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—28no—
1351C2×D4—28no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—28no—
1358C2×D4—28no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—24no—
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—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
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—28no—
1436C22×C4—28no—
1437C22×C4—28no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—41no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—41no—
1444C22×C4—41no—
1445C22×C4—41no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4H(5,𝔽2)14yes—
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C22×C4C2511yescharacteristic
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2514yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2514yes—
1472C22×C4C2511yescharacteristic
1473C22×C4C2514yes—
1474C22×C4C2514yes—
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C22×C4C2511yescharacteristic
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2514yes—
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2514yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—24no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—28no—
1505C4⋊C4—22no—
1506C4⋊C4—28no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—41no—
1524C4⋊C4—41no—
1525C4⋊C4—41no—
1526C4⋊C4—41no—
1527C4⋊C4—44no—
1528C4⋊C4—41no—
1529C4⋊C4—41no—
1530C4⋊C4—41no—
1531C4⋊C4—41no—
1532C4⋊C4—44no—
1533C4⋊C4—41no—
1534C4⋊C4—41no—
1535C4⋊C4—41no—
1536C4⋊C4—41no—
1537C4⋊C4—41no—
1538C4⋊C4—41no—
1539C4⋊C4—44no—
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⋊C4C2×#4114yes—
1552C4⋊C4C2×#4114yes—
1553C4⋊C4C2×#4114yes—
1554C22⋊C4—22no—
1555C22⋊C4—22no—
1556C22⋊C4—28no—
1557C22⋊C4—22no—
1558C22⋊C4—22no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—28no—
1567C22⋊C4—22no—
1568C22⋊C4—22no—
1569C22⋊C4—22no—
1570C22⋊C4—22no—
1571C22⋊C4—28no—
1572C22⋊C4—28no—
1573C22⋊C4—28no—
1574C22⋊C4—22no—
1575C22⋊C4—22no—
1576C22⋊C4—41no—
1577C22⋊C4—41no—
1578C22⋊C4—41no—
1579C22⋊C4—41no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—41no—
1585C22⋊C4—41no—
1586C22⋊C4—41no—
1587C22⋊C4—41no—
1588C22⋊C4—41no—
1589C22⋊C4—44no—
1590C22⋊C4—41no—
1591C22⋊C4—41no—
1592C22⋊C4—41no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
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—
1622C42—22no—
1623C42—22no—
1624C42—22no—
1625C42—28no—
1626C42—22no—
1627C42—22no—
1628C42—22no—
1629C42—22no—
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—41no—
1658C42—41no—
1659C42—41no—
1660C42—41no—
1661C42—41no—
1662C42—41no—
1663C42—41no—
1664C42—41no—
1665C42—44no—
1666C42—44no—
1667C42—44no—
1668C42—44no—
1669C42—44no—
1670C42C2×#4114yes—
1671C42C2×#4114yes—
1672C42C2×#4114yes—
1673C42H(5,𝔽2)14yes—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—24no—
1683C23—24no—
1684C23—21no—
1685C23—24no—
1686C23—21no—
1687C23—21no—
1688C23—24no—
1689C23—24no—
1690C23—24no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—24no—
1695C23—24no—
1696C23—24no—
1697C23—24no—
1698C23—21no—
1699C23—24no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—21no—
1704C23—21no—
1705C23—24no—
1706C23—24no—
1707C23—24no—
1708C23C2×H(5,𝔽2)12yes—
1709C23C2611yescharacteristic
1710Q8—44no—
1711Q8—48no—
1712Q8—48no—
1713Q8—48no—
1714Q8—48no—
1715D4—44no—
1716D4—44no—
1717D4—44no—
1718D4—48no—
1719D4—48no—
1720D4—48no—
1721D4—48no—
1722D4—48no—
1723D4—48no—
1724D4—88no—
1725D4—88no—
1726D4—88no—
1727D4—88no—
1728D4—88no—
1729D4—88no—
1730D4—88no—
1731D4—164no—
1732D4—164no—
1733D4—164no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
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—28no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—24no—
1753C2×C4—24no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—24no—
1770C2×C4—24no—
1771C2×C4—24no—
1772C2×C4—24no—
1773C2×C4—24no—
1774C2×C4—24no—
1775C2×C4—21no—
1776C2×C4—24no—
1777C2×C4—21no—
1778C2×C4—24no—
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—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—24no—
1806C2×C4—24no—
1807C2×C4—21no—
1808C2×C4—24no—
1809C2×C4—21no—
1810C2×C4—24no—
1811C2×C4—24no—
1812C2×C4—24no—
1813C2×C4—24no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—24no—
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—88no—
1834C2×C4—88no—
1835C2×C4—88no—
1836C2×C4—88no—
1837C2×C4—88no—
1838C2×C4—88no—
1839C2×C4C22×#4112yes—
1840C2×C4C22×#4112yes—
1841C2×C4C22×#4112yes—
1842C2×C4C22×#4112yes—
1843C2×C4C22×#4112yes—
1844C2×C4C22×#4112yes—
1845C2×C4C22×#4112yes—
1846C2×C4C2×H(5,𝔽2)12yes—
1847C2×C4C2×H(5,𝔽2)12yes—
1848C2×C4C2×H(5,𝔽2)12yes—
1849C2×C4C2×H(5,𝔽2)12yes—
1850C2×C4C2×H(5,𝔽2)12yes—
1851C2×C4#58512yes—
1852C2×C4#58512yes—
1853C2×C4#58512yes—
1854C2×C4#58512yes—
1855C22—22no—
1856C22—22no—
1857C22—22no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—44no—
1865C22—44no—
1866C22—41no—
1867C22—41no—
1868C22—44no—
1869C22—44no—
1870C22—41no—
1871C22—41no—
1872C22—44no—
1873C22—44no—
1874C22—44no—
1875C22—44no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—44no—
1881C22—44no—
1882C22—44no—
1883C22—41no—
1884C22—44no—
1885C22—41no—
1886C22—44no—
1887C22—44no—
1888C22—41no—
1889C22—41no—
1890C22C23×#4111yescharacteristic
1891C22C22×H(5,𝔽2)11yescharacteristic
1892C22C22×H(5,𝔽2)11yescharacteristic
1893C22C2×#58511yescharacteristic
1894C22C2×#58511yescharacteristic
1895C22C2×#58511yescharacteristic
1896C22C2×#58511yescharacteristic
1897C4—22no—
1898C4—22no—
1899C4—22no—
1900C4—22no—
1901C4—22no—
1902C4—22no—
1903C4—22no—
1904C4—41no—
1905C4—41no—
1906C4—44no—
1907C4—44no—
1908C4—41no—
1909C4—41no—
1910C4—41no—
1911C4—44no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—44no—
1916C4—41no—
1917C4—44no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—44no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—41no—
1927C4—41no—
1928C4#351714yes—
1929C4#355814yes—
1930C4#356214yes—
1931C2—42no—
1932C2—81no—
1933C2—81no—
1934C2—84no—
1935C2—84no—
1936C2C2×#355811yescharacteristic
1937C2C2×#356211yescharacteristic
1938C2C2×#351711yescharacteristic
1939C2#6280011yescharacteristic
1940C2#6281511yescharacteristic
1941C2#6283611yescharacteristic
1942C2#6283911yescharacteristic
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. #59581C2semidirect
2. #59483C2semidirect
3. #59102C2semidirect
4. #59101C2semidirect
5. #46084C2semidirect
6. #46074C2semidirect
7. #45716C2semidirect
8. #45689C2semidirect
9. #40129C2semidirect
10. #40057C2semidirect
11. #40033C2semidirect
12. #39961C2semidirect
13. #39287C2semidirect
14. #39284C2semidirect
15. #39237C2semidirect
16. #39227C2semidirect
17. #39142C2semidirect
18. #39130C2semidirect
19. #39009C2semidirect
20. #38997C2semidirect
21. #37570C2semidirect
22. #37372C2semidirect
23. #37362C2semidirect
24. #36639C2semidirect
25. #36631C2semidirect
26. #36598C2semidirect
27. #36595C2semidirect
28. #36151C2semidirect
29. #36150C2semidirect
30. #36150C2semidirect
31. #36149C2semidirect
32. #36128C2semidirect
33. #36127C2semidirect
34. #35298C2semidirect
35. #35293C2semidirect
36. #35291C2semidirect
37. #35288C2semidirect
38. #34500C2semidirect
39. C4×#529C2semidirect
1032. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#595812
#594832
#591022
#591012
#460842
#460742
#457162
#456892
#401292
#400572
#400332
#399612
#392872
#392842
#392372
#392272
#391422
#391302
#390092
#389972
#375702
#373722
#373622
#366392
#366312
#365982
#365952
#361512
#361502
#361492
#361282
#361272
#352982
#352932
#352912
#352882
#345002
C4×#5292