Finite Group Databasebeta

← #7746761

Subgroups — #7746761

Order 512.

5242 conjugacy classes of subgroups.

The subgroup lattice has 1906 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45386C212yesmaximal, complemented
2#45376C212yesmaximal, complemented
3#45315C212yesmaximal, complemented
4#45285C212yesmaximal, complemented
5#45198C212yesmaximal, complemented
6#45100C212yesmaximal, complemented
7#45064C212yesmaximal, complemented
8#45063C212yesmaximal, complemented
9#45026C212yesmaximal, complemented
10#45020C212yesmaximal, complemented
11#45015C212yesmaximal, complemented
12#44960C212yesmaximal, complemented
13#42897C212yesmaximal, complemented
14#42893C212yesmaximal, complemented
15#42629C212yesmaximal, complemented
16#42593C212yesmaximal, complemented
17#42571C212yesmaximal, complemented
18#42533C212yesmaximal, complemented
19#36595C211yesmaximal, characteristic, complemented
20#36574C211yesmaximal, characteristic, complemented
21#36211C211yesmaximal, characteristic, complemented
22#36182C211yesmaximal, characteristic, complemented
23#36181C211yesmaximal, characteristic, complemented
24#36150C211yesmaximal, characteristic, complemented
25#36150C211yesmaximal, characteristic, complemented
26#36128C211yesmaximal, characteristic, complemented
27#36076C212yesmaximal, complemented
28#35968C212yesmaximal, complemented
29#35890C212yesmaximal, complemented
30#35882C212yesmaximal, complemented
31#35853C212yesmaximal, complemented
32#35793C212yesmaximal, complemented
33#35288C211yesmaximal, characteristic, complemented
34#35288C211yesmaximal, characteristic, complemented
35#35278C211yesmaximal, characteristic, complemented
36#34551C211yesmaximal, characteristic, complemented
37#34226C211yesmaximal, characteristic, complemented
38#34225C211yesmaximal, characteristic, complemented
39#34207C211yesmaximal, characteristic, complemented
40C2×#559C2212yes—
41C2×#553C2212yes—
42C2×#552C2212yes—
43C2×#550C2212yes—
44C2×#540C2212yes—
45C2×#533C2211yescharacteristic
46C2×#532C2211yescharacteristic
47C2×#532C2211yescharacteristic
48C2×#520C2212yes—
49#2867C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2859C2211yescharacteristic
53#2858C2211yescharacteristic
54#2858C2211yescharacteristic
55#2857C2211yescharacteristic
56#2857C2211yescharacteristic
57#2856C2211yescharacteristic
58#2856C2211yescharacteristic
59#2856C2211yescharacteristic
60#2856C2211yescharacteristic
61#2837C2214yes—
62#2828C2214yes—
63#2803C2214yes—
64#2797C2214yes—
65#2797C2214yes—
66#2782C2214yes—
67#2781C2214yes—
68#2779C2214yes—
69#2753C2214yes—
70#2752C2214yes—
71#2750C2214yes—
72#2749C2214yes—
73#2749C2214yes—
74#2743C2214yes—
75#2741C2214yes—
76#2724C2214yes—
77#2717C2214yes—
78#2714C2214yes—
79#2705C2214yes—
80#2703C2214yes—
81#2701C2214yes—
82#2699C2214yes—
83#2694C2214yes—
84#2691C2214yes—
85#2686C2214yes—
86#2673C2214yes—
87#2662C2214yes—
88#2651C2214yes—
89#2649C2214yes—
90#2648C2214yes—
91#2644C2212yes—
92#2644C2212yes—
93#2641C2212yes—
94#2635C2214yes—
95#2624C2212yes—
96#2624C2214yes—
97#2624C2212yes—
98#2619C2212yes—
99#2610C2214yes—
100#2603C2214yes—
101#2600C2214yes—
102#2597C2214yes—
103#2593C2214yes—
104#2584C2212yes—
105#2584C2212yes—
106#2581C2212yes—
107#2578C2214yes—
108#2576C2214yes—
109#2566C2212yes—
110#2565C2212yes—
111#2558C2214yes—
112#2558C2214yes—
113#2548C2212yes—
114#2548C2212yes—
115#2548C2212yes—
116#2548C2212yes—
117#2544C2212yes—
118#2544C2212yes—
119#2541C2212yes—
120#2541C2212yes—
121#2540C2212yes—
122#2540C2212yes—
123#2535C2212yes—
124#2531C2214yes—
125#2526C2214yes—
126#2513C2212yes—
127#2513C2212yes—
128#2513C2212yes—
129#2513C2212yes—
130#2512C2212yes—
131#2512C2212yes—
132#2510C2214yes—
133#2509C2212yes—
134#2509C2212yes—
135#2508C2212yes—
136#2508C2212yes—
137#2506C2212yes—
138#2506C2212yes—
139#2504C2214yes—
140#2504C2212yes—
141#2503C2212yes—
142#2500C2212yes—
143#2499C2212yes—
144#2496C2212yes—
145#2496C2212yes—
146#2490C2212yes—
147#2490C2212yes—
148#2490C2212yes—
149#2490C2212yes—
150#2490C2214yes—
151#2490C2212yes—
152#2490C2212yes—
153#2486C2212yes—
154#2486C2214yes—
155#2486C2212yes—
156#2481C2214yes—
157#2479C2214yes—
158#2471C2214yes—
159#2471C2214yes—
160#2468C2214yes—
161#2454C2212yes—
162#2454C2212yes—
163#2454C2212yes—
164#2454C2212yes—
165#2453C2212yes—
166#2453C2212yes—
167#2448C2212yes—
168#2448C2212yes—
169#2448C2212yes—
170#2448C2212yes—
171#2447C2212yes—
172#2447C2212yes—
173#2445C2214yes—
174#2445C2214yes—
175#2445C2212yes—
176#2445C2212yes—
177#2445C2214yes—
178#2445C2212yes—
179#2445C2212yes—
180#2445C2212yes—
181#2445C2212yes—
182#2445C2212yes—
183#2445C2212yes—
184#2444C2214yes—
185#2443C2214yes—
186#2431C2212yes—
187#2431C2212yes—
188#2428C2212yes—
189#2428C2212yes—
190#2428C2212yes—
191#2428C2212yes—
192#2428C2212yes—
193#2428C2212yes—
194#2428C2212yes—
195#2428C2212yes—
196#2427C2212yes—
197#2427C2212yes—
198#2427C2212yes—
199#2427C2212yes—
200#2426C2212yes—
201#2426C2212yes—
202#2426C2212yes—
203#2426C2212yes—
204#2426C2212yes—
205#2426C2212yes—
206#2425C2214yes—
207#2422C2212yes—
208#2422C2212yes—
209#2420C2214yes—
210#2420C2212yes—
211#2420C2212yes—
212#2420C2212yes—
213#2420C2212yes—
214#2420C2214yes—
215#2419C2214yes—
216#2416C2212yes—
217#2416C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2414C2214yes—
221#2414C2212yes—
222#2414C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2402C2211yescharacteristic
226#2402C2211yescharacteristic
227#2402C2211yescharacteristic
228#2401C2211yescharacteristic
229#2401C2211yescharacteristic
230#2401C2211yescharacteristic
231#2401C2211yescharacteristic
232#2401C2211yescharacteristic
233#2401C2211yescharacteristic
234#2398C2211yescharacteristic
235#2398C2211yescharacteristic
236#2398C2211yescharacteristic
237#2396C2211yescharacteristic
238#2396C2211yescharacteristic
239#2396C2211yescharacteristic
240#2395C2211yescharacteristic
241#2395C2211yescharacteristic
242#2395C2211yescharacteristic
243#2395C2214yes—
244#2395C2211yescharacteristic
245#2395C2211yescharacteristic
246#2395C2211yescharacteristic
247#2392C2211yescharacteristic
248#2392C2214yes—
249#2392C2211yescharacteristic
250#2392C2211yescharacteristic
251#2370C2212yes—
252#2370C2212yes—
253#2370C2212yes—
254#2370C2212yes—
255#2367C2212yes—
256#2367C2212yes—
257#2367C2212yes—
258#2367C2212yes—
259#2366C2212yes—
260#2366C2212yes—
261#2366C2212yes—
262#2366C2212yes—
263#2363C2212yes—
264#2363C2212yes—
265#2363C2212yes—
266#2363C2212yes—
267#2363C2212yes—
268#2363C2212yes—
269#2362C2212yes—
270#2362C2212yes—
271#2361C2212yes—
272#2361C2212yes—
273#2361C2212yes—
274#2361C2212yes—
275#2361C2212yes—
276#2361C2212yes—
277#2357C2212yes—
278#2357C2212yes—
279#2356C2212yes—
280#2354C2212yes—
281#2354C2212yes—
282#2351C2212yes—
283#2351C2212yes—
284#2349C2212yes—
285D4×C4⋊C4C2212yes—
286D4×C4⋊C4C2212yes—
287#2347C2212yes—
288#2346C2212yes—
289#2344C2212yes—
290#2344C2212yes—
291#2341C2212yes—
292#2341C2212yes—
293#2341C2212yes—
294#2339C2212yes—
295#2328C2212yes—
296#2326C2212yes—
297#2326C2212yes—
298#2324C2212yes—
299#2324C2212yes—
300#2324C2212yes—
301#2324C2212yes—
302#2323C2212yes—
303#2323C2212yes—
304#2320C2212yes—
305#2319C2212yes—
306#2319C2212yes—
307#2319C2212yes—
308#2311C2212yes—
309C4×C4⋊Q8C2211yescharacteristic
310C4×C4⋊Q8C2211yescharacteristic
311C4×C4⋊Q8C2211yescharacteristic
312C4×C4⋊Q8C2211yescharacteristic
313C4×C4⋊Q8C2211yescharacteristic
314C4×C4⋊Q8C2211yescharacteristic
315C4×#127C2211yescharacteristic
316C4×#127C2211yescharacteristic
317C4×#127C2211yescharacteristic
318C4×#127C2211yescharacteristic
319#2285C2211yescharacteristic
320#2285C2211yescharacteristic
321C2×#384C2211yescharacteristic
322#2276C2212yes—
323#2275C2212yes—
324C42×Q8C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C22×#41C2312yes—
332C22×#41C2312yes—
333#559—48no—
334#553—48no—
335#552—48no—
336#550—48no—
337#540—48no—
338#533—28no—
339#532—28no—
340#532—28no—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×#127C2311yescharacteristic
344C2×#127C2311yescharacteristic
345C2×#127C2312yes—
346C2×#127C2312yes—
347C2×#127C2312yes—
348C2×#127C2312yes—
349C2×#127C2312yes—
350C2×#127C2312yes—
351C2×#127C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2314yes—
359C2×#124C2312yes—
360C2×#124C2312yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2314yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397#520—48no—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2311yescharacteristic
408C2×C4×Q8C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2311yescharacteristic
439C2×#117C2311yescharacteristic
440C2×#117C2312yes—
441C2×#117C2311yescharacteristic
442C2×#117C2311yescharacteristic
443C2×#117C2311yescharacteristic
444C2×#117C2311yescharacteristic
445C2×#117C2311yescharacteristic
446C2×#117C2314yes—
447C2×#117C2314yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2314yes—
453C22×C4⋊C4C2312yes—
454C22×C42C2311yescharacteristic
455C22×C42C2311yescharacteristic
456C22×C42C2311yescharacteristic
457#401C2311yescharacteristic
458#401C2311yescharacteristic
459#400C2314yes—
460#400C2311yescharacteristic
461#400C2314yes—
462#400C2311yescharacteristic
463#400C2311yescharacteristic
464#400C2314yes—
465#400C2314yes—
466#400C2311yescharacteristic
467#400C2314yes—
468#400C2311yescharacteristic
469#400C2311yescharacteristic
470#400C2311yescharacteristic
471#400C2311yescharacteristic
472#400C2311yescharacteristic
473#400C2311yescharacteristic
474#400C2311yescharacteristic
475#400C2311yescharacteristic
476#400C2311yescharacteristic
477#400C2311yescharacteristic
478#400C2311yescharacteristic
479#399C2314yes—
480#399C2314yes—
481#399C2311yescharacteristic
482#399C2314yes—
483#399C2314yes—
484#399C2311yescharacteristic
485#399C2311yescharacteristic
486#398C2314yes—
487#398C2314yes—
488#398C2311yescharacteristic
489#398C2314yes—
490#398C2314yes—
491#398C2311yescharacteristic
492#398C2311yescharacteristic
493#398C2311yescharacteristic
494#398C2311yescharacteristic
495#398C2311yescharacteristic
496#398C2311yescharacteristic
497#398C2311yescharacteristic
498#398C2311yescharacteristic
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2311yescharacteristic
507#397C2311yescharacteristic
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2311yescharacteristic
516#397C2311yescharacteristic
517#397C2311yescharacteristic
518#397C2311yescharacteristic
519#397C2311yescharacteristic
520#397C2314yes—
521#397C2311yescharacteristic
522#397C2311yescharacteristic
523#397C2311yescharacteristic
524#397C2311yescharacteristic
525#397C2311yescharacteristic
526#397C2311yescharacteristic
527#397C2311yescharacteristic
528#397C2311yescharacteristic
529#397C2314yes—
530#397C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2311yescharacteristic
537#396C2311yescharacteristic
538#396C2311yescharacteristic
539#396C2311yescharacteristic
540#396C2311yescharacteristic
541#396C2311yescharacteristic
542#396C2314yes—
543#395C2314yes—
544#395C2311yescharacteristic
545#394C2311yescharacteristic
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2311yescharacteristic
567#394C2314yes—
568#394C2314yes—
569#394C2311yescharacteristic
570#394C2311yescharacteristic
571#394C2311yescharacteristic
572#394C2311yescharacteristic
573#394C2311yescharacteristic
574#394C2311yescharacteristic
575#394C2311yescharacteristic
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#393C2311yescharacteristic
581#393C2311yescharacteristic
582#393C2311yescharacteristic
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2311yescharacteristic
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2314yes—
620#390C2312yes—
621#390C2312yes—
622#390C2314yes—
623#390C2314yes—
624#390C2312yes—
625#390C2312yes—
626#390C2314yes—
627#390C2312yes—
628#390C2312yes—
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2314yes—
633#390C2314yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2312yes—
643#390C2314yes—
644#390C2314yes—
645#390C2314yes—
646#390C2314yes—
647#390C2314yes—
648#390C2314yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2314yes—
666#389C2314yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2314yes—
674#389C2314yes—
675#389C2314yes—
676#389C2314yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
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#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#384C2311yescharacteristic
762#384C2311yescharacteristic
763#384C2311yescharacteristic
764#384C2311yescharacteristic
765#384C2312yes—
766#384C2312yes—
767#384C2312yes—
768#383C2314yes—
769#382C2312yes—
770#382C2312yes—
771#382C2314yes—
772#382C2314yes—
773#382C2312yes—
774#382C2312yes—
775#382C2312yes—
776#381C2314yes—
777#381C2314yes—
778#381C2314yes—
779#381C2314yes—
780#381C2314yes—
781#381C2314yes—
782#380C2314yes—
783#380C2314yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2314yes—
794#380C2314yes—
795#380C2312yes—
796#380C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2314yes—
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⋊C4C2312yes—
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C4⋊C4C2311yescharacteristic
845C4×C4⋊C4C2311yescharacteristic
846C4×C4⋊C4C2311yescharacteristic
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2311yescharacteristic
853C4×C22⋊C4C2311yescharacteristic
854C4×C22⋊C4C2314yes—
855C4×C22⋊C4C2314yes—
856C4×C22⋊C4C2311yescharacteristic
857C4×C22⋊C4C2311yescharacteristic
858C4×C22⋊C4C2311yescharacteristic
859C4×C22⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2314yes—
875C4×C22⋊C4C2311yescharacteristic
876C4×C22⋊C4C2311yescharacteristic
877C4×C22⋊C4C2311yescharacteristic
878C4×C22⋊C4C2311yescharacteristic
879C4×C22⋊C4C2311yescharacteristic
880C4×C22⋊C4C2311yescharacteristic
881C4×C22⋊C4C2311yescharacteristic
882C4×C22⋊C4C2311yescharacteristic
883#376C2311yescharacteristic
884#376C2311yescharacteristic
885#376C2311yescharacteristic
886#376C2311yescharacteristic
887#376C2314yes—
888#376C2311yescharacteristic
889#376C2311yescharacteristic
890C2×#95C2314yes—
891C43C2311yescharacteristic
892C43C2311yescharacteristic
893C43C2311yescharacteristic
894C43C2311yescharacteristic
895C2×#41—28no—
896C2×#41—28no—
897C2×#41—28no—
898C2×#41—44no—
899C2×#41—44no—
900C2×#41—44no—
901C22×Q8C2412yes—
902C22×Q8C2412yes—
903C22×Q8C2411yescharacteristic
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2411yescharacteristic
911C22×D4C2414yes—
912C22×D4C2411yescharacteristic
913C22×D4C2414yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2411yescharacteristic
918C22×D4C2414yes—
919C22×D4C2414yes—
920C22×D4C2414yes—
921C22×D4C2414yes—
922C22×D4C2414yes—
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2414yes—
932C23×C4C2411yescharacteristic
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2414yes—
937C23×C4C2414yes—
938C23×C4C2414yes—
939C4⋊Q8—24no—
940C4⋊Q8#4118yes—
941#127—24no—
942#127—24no—
943#127—28no—
944#127—44no—
945#127—44no—
946#127—44no—
947#127—44no—
948#127—44no—
949#127—48no—
950#126—48no—
951#126—48no—
952#125—28no—
953#125—28no—
954#125—44no—
955#125—44no—
956#125—48no—
957#124—28no—
958#124—28no—
959#124—44no—
960#124—44no—
961#124—48no—
962#124—44no—
963#124—44no—
964#123—48no—
965#123—48no—
966#123—48no—
967#123—48no—
968#123—48no—
969#123—48no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974#121—28no—
975#121—28no—
976#121—28no—
977#121—28no—
978#121—28no—
979#121—48no—
980#121—48no—
981#121—48no—
982#121—48no—
983#121—44no—
984#121—44no—
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—48no—
995C4×Q8—28no—
996C4×Q8—28no—
997C4×Q8—28no—
998C4×Q8—24no—
999C4×Q8—42no—
1000C4×Q8—42no—
1001C4×Q8—44no—
1002C4×Q8—44no—
1003C4×Q8—44no—
1004C4×Q8—44no—
1005C4×Q8—44no—
1006C4×D4—24no—
1007C4×D4—24no—
1008C4×D4—28no—
1009C4×D4—28no—
1010C4×D4—28no—
1011C4×D4—28no—
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—44no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—48no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—42no—
1027C4×D4—42no—
1028C4×D4—42no—
1029C4×D4—42no—
1030C4×D4—42no—
1031C4×D4—42no—
1032C4×D4—48no—
1033C4×D4—48no—
1034C4×D4—48no—
1035C4×D4—48no—
1036#117—24no—
1037#117—28no—
1038#117—24no—
1039#117—42no—
1040#117—42no—
1041#117—42no—
1042#117—42no—
1043#117—48no—
1044#117—48no—
1045#117—44no—
1046#117—44no—
1047C2×C4⋊C4—28no—
1048C2×C4⋊C4—44no—
1049C2×C4⋊C4—48no—
1050C2×C4⋊C4—44no—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
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×C42—24no—
1188C2×C42—24no—
1189C2×C42—24no—
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2414yes—
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2414yes—
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×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2414yes—
1225C2×C42C2414yes—
1226C2×C42C2414yes—
1227C2×C42C2414yes—
1228C2×C42C2414yes—
1229C2×C42C2414yes—
1230C2×C42C2414yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2411yescharacteristic
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
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#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2411yescharacteristic
1285#95C2411yescharacteristic
1286#95C2411yescharacteristic
1287#95C2411yescharacteristic
1288#95C2411yescharacteristic
1289#95C2411yescharacteristic
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—
1307C24C2511yescharacteristic
1308C24C2514yes—
1309C24C2514yes—
1310C24C2511yescharacteristic
1311C24C2511yescharacteristic
1312#41—432no—
1313#41—816no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—24no—
1317C2×Q8—22no—
1318C2×Q8—24no—
1319C2×Q8—24no—
1320C2×Q8—41no—
1321C2×Q8—41no—
1322C2×Q8C2×#4118yes—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—28no—
1326C2×D4—28no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—28no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—28no—
1335C2×D4—22no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—28no—
1341C2×D4—28no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—28no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—28no—
1392C22×C4—22no—
1393C22×C4—28no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
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—28no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4H(5,𝔽2)14yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2514yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2514yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C22×C4C2514yes—
1446C22×C4C2514yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2514yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2514yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C4⋊C4—24no—
1463C4⋊C4—28no—
1464C4⋊C4—28no—
1465C4⋊C4—24no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—28no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—41no—
1497C4⋊C4—41no—
1498C4⋊C4—41no—
1499C4⋊C4—41no—
1500C4⋊C4—41no—
1501C4⋊C4—41no—
1502C4⋊C4—41no—
1503C4⋊C4—41no—
1504C4⋊C4—44no—
1505C4⋊C4—41no—
1506C4⋊C4—41no—
1507C4⋊C4—41no—
1508C4⋊C4—41no—
1509C4⋊C4—41no—
1510C4⋊C4—41no—
1511C4⋊C4—44no—
1512C4⋊C4—41no—
1513C4⋊C4—41no—
1514C4⋊C4—44no—
1515C4⋊C4—41no—
1516C4⋊C4—41no—
1517C4⋊C4—44no—
1518C4⋊C4—41no—
1519C4⋊C4—41no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4C2×#4118yes—
1526C4⋊C4C2×#4118yes—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—28no—
1532C22⋊C4—28no—
1533C22⋊C4—28no—
1534C22⋊C4—28no—
1535C22⋊C4—28no—
1536C22⋊C4—22no—
1537C22⋊C4—22no—
1538C22⋊C4—22no—
1539C22⋊C4—22no—
1540C22⋊C4—22no—
1541C22⋊C4—22no—
1542C22⋊C4—28no—
1543C22⋊C4—41no—
1544C22⋊C4—41no—
1545C22⋊C4—41no—
1546C22⋊C4—41no—
1547C22⋊C4—41no—
1548C22⋊C4—41no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—41no—
1557C22⋊C4—41no—
1558C22⋊C4—41no—
1559C22⋊C4—41no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—41no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C42—22no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—22no—
1607C42—28no—
1608C42—22no—
1609C42—22no—
1610C42—22no—
1611C42—28no—
1612C42—22no—
1613C42—22no—
1614C42—22no—
1615C42—22no—
1616C42—22no—
1617C42—22no—
1618C42—22no—
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—22no—
1623C42—22no—
1624C42—22no—
1625C42—22no—
1626C42—22no—
1627C42—22no—
1628C42—22no—
1629C42—22no—
1630C42—22no—
1631C42—22no—
1632C42—44no—
1633C42—44no—
1634C42—44no—
1635C42—44no—
1636C42—44no—
1637C42—44no—
1638C42—44no—
1639C42C2×#4114yes—
1640C42H(5,𝔽2)14yes—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—24no—
1649C23—24no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—24no—
1655C23—21no—
1656C23—24no—
1657C23—24no—
1658C23—24no—
1659C23—21no—
1660C23—21no—
1661C23—24no—
1662C23—24no—
1663C23—21no—
1664C23—24no—
1665C23—24no—
1666C23—24no—
1667C23—24no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—24no—
1674C23—24no—
1675C23C2×H(5,𝔽2)12yes—
1676C23C2611yescharacteristic
1677Q8—216no—
1678Q8—44no—
1679Q8—48no—
1680D4—44no—
1681D4—416no—
1682D4—44no—
1683D4—44no—
1684D4—48no—
1685D4—48no—
1686D4—48no—
1687D4—48no—
1688D4—48no—
1689D4—48no—
1690D4—88no—
1691D4—88no—
1692D4—88no—
1693D4—88no—
1694D4—164no—
1695D4—164no—
1696D4—164no—
1697D4—164no—
1698D4—164no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—24no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—24no—
1706C2×C4—21no—
1707C2×C4—28no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—24no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—24no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—24no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—24no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—24no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—24no—
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—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—21no—
1770C2×C4—21no—
1771C2×C4—24no—
1772C2×C4—24no—
1773C2×C4—24no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—24no—
1782C2×C4—24no—
1783C2×C4—24no—
1784C2×C4—24no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—416no—
1790C2×C4—44no—
1791C2×C4—44no—
1792C2×C4—44no—
1793C2×C4—44no—
1794C2×C4—44no—
1795C2×C4—44no—
1796C2×C4—44no—
1797C2×C4—44no—
1798C2×C4—88no—
1799C2×C4—88no—
1800C2×C4—164no—
1801C2×C4—164no—
1802C2×C4—164no—
1803C2×C4—164no—
1804C2×C4C22×#4118yes—
1805C2×C4C22×#4112yes—
1806C2×C4C22×#4112yes—
1807C2×C4C22×#4112yes—
1808C2×C4C2×H(5,𝔽2)12yes—
1809C2×C4C2×H(5,𝔽2)12yes—
1810C2×C4C2×H(5,𝔽2)12yes—
1811C2×C4C2×H(5,𝔽2)12yes—
1812C2×C4C2×H(5,𝔽2)12yes—
1813C2×C4#58512yes—
1814C2×C4#58512yes—
1815C2×C4#58512yes—
1816C2×C4#58512yes—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—44no—
1825C22—41no—
1826C22—41no—
1827C22—44no—
1828C22—41no—
1829C22—41no—
1830C22—44no—
1831C22—44no—
1832C22—41no—
1833C22—41no—
1834C22—44no—
1835C22—44no—
1836C22—44no—
1837C22—44no—
1838C22—41no—
1839C22—41no—
1840C22—44no—
1841C22—41no—
1842C22—44no—
1843C22—44no—
1844C22—41no—
1845C22—41no—
1846C22—44no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—44no—
1851C22—44no—
1852C22C23×#4111yescharacteristic
1853C22C22×H(5,𝔽2)11yescharacteristic
1854C22C22×H(5,𝔽2)11yescharacteristic
1855C22C2×#58511yescharacteristic
1856C22C2×#58511yescharacteristic
1857C22C2×#58511yescharacteristic
1858C22C2×#58511yescharacteristic
1859C4—22no—
1860C4—28no—
1861C4—22no—
1862C4—22no—
1863C4—41no—
1864C4—41no—
1865C4—41no—
1866C4—41no—
1867C4—41no—
1868C4—44no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—44no—
1873C4—44no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—44no—
1881C4—41no—
1882C4—44no—
1883C4—41no—
1884C4—41no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4#351314yes—
1891C4#351714yes—
1892C4#352414yes—
1893C2—42no—
1894C2—84no—
1895C2—81no—
1896C2—81no—
1897C2—84no—
1898C2C2×#351311yescharacteristic
1899C2C2×#351711yescharacteristic
1900C2C2×#352411yescharacteristic
1901C2#6283411yescharacteristic
1902C2#6283611yescharacteristic
1903C2#6283611yescharacteristic
1904C2#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. #45386C2semidirect
2. #45376C2semidirect
3. #45315C2semidirect
4. #45285C2semidirect
5. #45198C2semidirect
6. #45100C2semidirect
7. #45064C2semidirect
8. #45063C2semidirect
9. #45026C2semidirect
10. #45020C2semidirect
11. #45015C2semidirect
12. #44960C2semidirect
13. #42897C2semidirect
14. #42893C2semidirect
15. #42629C2semidirect
16. #42593C2semidirect
17. #42571C2semidirect
18. #42533C2semidirect
19. #36595C2semidirect
20. #36574C2semidirect
21. #36211C2semidirect
22. #36182C2semidirect
23. #36181C2semidirect
24. #36150C2semidirect
25. #36150C2semidirect
26. #36128C2semidirect
27. #36076C2semidirect
28. #35968C2semidirect
29. #35890C2semidirect
30. #35882C2semidirect
31. #35853C2semidirect
32. #35793C2semidirect
33. #35288C2semidirect
34. #35288C2semidirect
35. #35278C2semidirect
36. #34551C2semidirect
37. #34226C2semidirect
38. #34225C2semidirect
39. #34207C2semidirect

Maximal subgroups

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

subgroupindex
#453862
#453762
#453152
#452852
#451982
#451002
#450642
#450632
#450262
#450202
#450152
#449602
#428972
#428932
#426292
#425932
#425712
#425332
#365952
#365742
#362112
#361822
#361812
#361502
#361282
#360762
#359682
#358902
#358822
#358532
#357932
#352882
#352782
#345512
#342262
#342252
#342072