Finite Group Databasebeta

← #7732298

Subgroups — #7732298

Order 512.

5872 conjugacy classes of subgroups.

The subgroup lattice has 1729 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48020C214yesmaximal, complemented
2#48018C214yesmaximal, complemented
3#47028C214yesmaximal, complemented
4#46448C214yesmaximal, complemented
5#43173C214yesmaximal, complemented
6#43173C214yesmaximal, complemented
7#39436C212yesmaximal, complemented
8#39069C212yesmaximal, complemented
9#38252C212yesmaximal, complemented
10#38113C212yesmaximal, complemented
11#37940C212yesmaximal, complemented
12#37932C212yesmaximal, complemented
13#37891C212yesmaximal, complemented
14#37881C212yesmaximal, complemented
15#37785C212yesmaximal, complemented
16#37694C212yesmaximal, complemented
17#37439C211yesmaximal, characteristic, complemented
18#37361C212yesmaximal, complemented
19#37356C212yesmaximal, complemented
20#36291C212yesmaximal, complemented
21#36111C212yesmaximal, complemented
22#35601C212yesmaximal, complemented
23#35525C212yesmaximal, complemented
24#35251C211yesmaximal, characteristic, complemented
25#35020C211yesmaximal, characteristic, complemented
26C2×#2431C211yesmaximal, characteristic, complemented
27#34379C211yesmaximal, characteristic, complemented
28#34175C211yesmaximal, characteristic, complemented
29#34082C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C2×#540C2212yescomplemented
32C2×#537C2211yescharacteristic, complemented
33C2×#537C2211yescharacteristic, complemented
34C22×#127C2211yescharacteristic
35C2×#529C2212yescomplemented
36C22×#124C2211yescharacteristic
37C2×#525C2211yescharacteristic
38C22×#121C2211yescharacteristic
39C2×#520C2211yescharacteristic, complemented
40C2×#520C2211yescharacteristic, complemented
41#2861C2212yescomplemented
42#2860C2212yescomplemented
43#2854C2212yescomplemented
44#2851C2212yes—
45#2851C2212yes—
46#2850C2212yescomplemented
47#2848C2212yes—
48#2847C2212yes—
49#2813C2214yescomplemented
50#2798C2214yescomplemented
51#2789C2214yescomplemented
52#2781C2214yescomplemented
53#2779C2214yescomplemented
54#2778C2214yescomplemented
55#2778C2214yescomplemented
56#2778C2214yescomplemented
57#2778C2214yescomplemented
58#2778C2214yescomplemented
59#2778C2214yescomplemented
60#2758C2214yescomplemented
61#2756C2214yescomplemented
62#2756C2214yescomplemented
63#2756C2214yescomplemented
64#2754C2214yescomplemented
65#2753C2214yescomplemented
66#2753C2214yescomplemented
67#2750C2214yescomplemented
68#2746C2214yescomplemented
69#2743C2214yescomplemented
70#2741C2214yescomplemented
71#2741C2214yescomplemented
72#2714C2214yescomplemented
73#2714C2214yescomplemented
74#2709C2214yescomplemented
75#2709C2214yescomplemented
76#2708C2214yescomplemented
77#2703C2214yescomplemented
78#2703C2214yescomplemented
79#2703C2214yescomplemented
80#2703C2214yescomplemented
81#2703C2214yescomplemented
82#2702C2214yescomplemented
83#2695C2214yescomplemented
84#2688C2214yescomplemented
85#2688C2214yescomplemented
86#2688C2214yescomplemented
87#2687C2214yescomplemented
88#2673C2214yescomplemented
89#2673C2214yescomplemented
90#2656C2212yescomplemented
91#2646C2212yes—
92#2646C2212yes—
93#2645C2212yescomplemented
94#2641C2212yescomplemented
95#2639C2212yescomplemented
96#2626C2212yes—
97#2625C2212yescomplemented
98#2624C2212yescomplemented
99#2619C2212yescomplemented
100#2617C2212yes—
101#2616C2212yescomplemented
102#2615C2212yescomplemented
103#2615C2212yescomplemented
104#2609C2214yescomplemented
105#2602C2214yescomplemented
106#2602C2214yescomplemented
107#2598C2214yescomplemented
108#2598C2214yescomplemented
109#2598C2214yescomplemented
110#2595C2214yescomplemented
111#2591C2214yescomplemented
112#2578C2214yescomplemented
113#2569C2214yescomplemented
114#2569C2214yescomplemented
115#2557C2214yescomplemented
116#2553C2214yescomplemented
117#2543C2214yescomplemented
118#2535C2214yescomplemented
119#2535C2214yescomplemented
120#2521C2214yescomplemented
121#2516C2214yescomplemented
122#2514C2212yescomplemented
123#2513C2212yescomplemented
124#2510C2214yes—
125#2510C2214yes—
126#2510C2214yescomplemented
127#2505C2214yes—
128#2505C2214yes—
129#2498C2214yescomplemented
130#2490C2212yescomplemented
131#2489C2212yescomplemented
132#2488C2214yescomplemented
133#2487C2212yes—
134#2481C2214yescomplemented
135#2480C2214yes—
136#2480C2214yes—
137#2477C2214yescomplemented
138#2476C2214yescomplemented
139#2474C2214yescomplemented
140#2471C2214yescomplemented
141#2470C2214yescomplemented
142#2467C2214yescomplemented
143#2467C2214yescomplemented
144#2467C2214yescomplemented
145#2464C2214yescomplemented
146#2464C2214yescomplemented
147#2464C2214yescomplemented
148#2459C2214yescomplemented
149#2457C2214yescomplemented
150#2457C2214yescomplemented
151#2456C2214yescomplemented
152#2456C2214yescomplemented
153#2454C2212yescomplemented
154#2453C2212yescomplemented
155#2448C2212yescomplemented
156#2447C2212yescomplemented
157#2445C2212yescomplemented
158#2445C2212yescomplemented
159#2443C2214yescomplemented
160#2442C2212yescomplemented
161#2442C2212yescomplemented
162#2442C2212yescomplemented
163#2442C2212yescomplemented
164#2431C2212yes—
165#2431C2212yes—
166#2431C2214yes—
167#2431C2214yes—
168#2431C2212yes—
169#2431C2212yes—
170#2430C2214yescomplemented
171#2428C2212yescomplemented
172#2428C2212yescomplemented
173#2427C2212yescomplemented
174#2426C2212yescomplemented
175#2421C2212yescomplemented
176#2420C2212yescomplemented
177#2418C2214yes—
178#2418C2214yes—
179#2416C2212yescomplemented
180#2416C2212yescomplemented
181#2414C2214yescomplemented
182#2414C2214yescomplemented
183#2413C2214yescomplemented
184#2410C2214yes—
185#2410C2214yes—
186#2410C2214yes—
187#2410C2214yes—
188#2409C2212yes—
189#2408C2212yes—
190#2408C2212yes—
191#2407C2212yescomplemented
192#2407C2212yescomplemented
193#2405C2214yes—
194#2405C2214yes—
195C2×#392C2212yes—
196C2×#392C2212yes—
197#2377C2214yescomplemented
198#2361C2212yescomplemented
199#2361C2212yescomplemented
200#2358C2214yes—
201#2358C2214yes—
202#2345C2212yes—
203#2342C2214yes—
204#2342C2214yes—
205#2341C2212yescomplemented
206Q8×C22⋊C4C2212yes—
207#2339C2212yescomplemented
208#2339C2214yescomplemented
209D4×C22⋊C4C2212yes—
210D4×C22⋊C4C2212yes—
211D4×C22⋊C4C2214yes—
212D4×C22⋊C4C2214yes—
213#2335C2212yescomplemented
214#2335C2212yescomplemented
215#2333C2212yescomplemented
216#2332C2212yescomplemented
217#2329C2211yescharacteristic
218#2329C2211yescharacteristic
219#2328C2212yescomplemented
220#2325C2211yescharacteristic
221#2325C2211yescharacteristic
222#2325C2212yescomplemented
223#2325C2212yescomplemented
224#2324C2212yescomplemented
225#2324C2212yescomplemented
226#2323C2212yescomplemented
227#2321C2212yes—
228#2321C2212yes—
229#2320C2212yescomplemented
230#2315C2212yes—
231#2315C2212yes—
232#2315C2212yes—
233#2312C2212yes—
234#2311C2211yescharacteristic, complemented
235#2311C2212yescomplemented
236#2311C2212yescomplemented
237#2311C2211yescharacteristic, complemented
238#2311C2211yescharacteristic, complemented
239#2311C2211yescharacteristic, complemented
240C4×#124C2212yescomplemented
241C4×#121C2212yescomplemented
242#2298C2212yescomplemented
243#2297C2212yescomplemented
244C2×#391C2211yescharacteristic
245#2293C2212yescomplemented
246#2293C2212yescomplemented
247C2×#390C2211yescharacteristic
248#2290C2212yes—
249#2290C2212yescomplemented
250C2×#386C2212yes—
251C2×#386C2212yes—
252#2280C2211yescharacteristic
253#2280C2212yes—
254C2×#380C2212yes—
255C2×#380C2211yescharacteristic
256C2×#380C2211yescharacteristic
257C42×D4C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41—28no—
260C22×#41—44no—
261C22×#41—44no—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2311yescharacteristic
266C22×#41C2312yes—
267C22×#41C2312yes—
268C22×#41C2311yescharacteristic
269C23×Q8C2311yescharacteristic
270C23×D4C2311yescharacteristic
271C23×D4C2312yes—
272C23×D4C2311yescharacteristic
273C23×D4C2312yes—
274C23×D4C2312yes—
275C23×D4C2312yes—
276C24×C4C2312yes—
277C24×C4C2311yescharacteristic
278#540—48no—
279#537—44no—
280#537—44no—
281C2×#127—44no—
282C2×#127C2312yes—
283C2×#127C2312yes—
284C2×#127C2314yes—
285#529—48no—
286C2×#126C2314yes—
287C2×#126C2314yes—
288C2×#125C2312yes—
289C2×#125C2312yes—
290C2×#124—44no—
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2314yes—
294#525—28no—
295C2×#123C2312yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×#121—28no—
309C2×#121C2312yes—
310C2×#121C2311yescharacteristic
311C2×#121C2312yes—
312C2×#121C2311yescharacteristic
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#120C2312yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332#520—44no—
333#520—44no—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2314yes—
357C2×#117C2314yes—
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2312yes—
365C22×C22⋊C4C2312yes—
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2312yes—
369C22×C22⋊C4C2312yes—
370C22×C22⋊C4C2314yes—
371C22×C22⋊C4C2314yes—
372C22×C22⋊C4C2312yes—
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2312yes—
376C22×C42C2312yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379#401C2314yes—
380#401C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#395C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#393C2314yes—
447#393C2314yes—
448#392C2314yes—
449#392C2314yes—
450#392C2314yes—
451#392C2314yes—
452#392C2314yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#390C2312yes—
479#390C2312yes—
480#390C2314yes—
481#390C2312yes—
482#390C2314yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2314yes—
490#390C2312yes—
491#390C2314yes—
492#390C2312yes—
493#390C2314yes—
494#390C2312yes—
495#390C2314yes—
496#390C2314yes—
497#390C2312yes—
498#390C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2314yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2312yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2312yes—
516#388C2312yes—
517#388C2312yes—
518#388C2312yes—
519#388C2312yes—
520#388C2312yes—
521#388C2312yes—
522#388C2312yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2312yes—
528#388C2312yes—
529#388C2312yes—
530#388C2312yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2312yes—
560#387C2314yes—
561#387C2314yes—
562#387C2312yes—
563#387C2314yes—
564#387C2314yes—
565#387C2312yes—
566#387C2312yes—
567#387C2312yes—
568#387C2312yes—
569#387C2312yes—
570#387C2312yes—
571#387C2314yes—
572#387C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2312yes—
582#386C2312yes—
583#386C2312yes—
584#386C2312yes—
585#386C2312yes—
586#386C2312yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2312yes—
592#386C2312yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2312yes—
636#385C2312yes—
637#385C2312yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#383C2314yes—
646#383C2314yes—
647#382C2314yes—
648#382C2312yes—
649#382C2312yes—
650#382C2314yes—
651#381C2312yes—
652#381C2314yes—
653#381C2314yes—
654#381C2314yes—
655#380C2312yes—
656#380C2311yescharacteristic
657#380C2311yescharacteristic
658#380C2312yes—
659#380C2312yes—
660#380C2312yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2311yescharacteristic
667#380C2312yes—
668#380C2312yes—
669#380C2314yes—
670#380C2314yes—
671#380C2314yes—
672#380C2314yes—
673#380C2311yescharacteristic
674#380C2314yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2314yes—
680#380C2312yes—
681#380C2314yes—
682#380C2314yes—
683#380C2314yes—
684#380C2312yes—
685#380C2312yes—
686#379C2314yes—
687#379C2312yes—
688#379C2314yes—
689#379C2314yes—
690#379C2314yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716#376C2312yes—
717C2×#95C2312yes—
718C2×#95C2312yes—
719C2×#95C2311yescharacteristic
720C2×#95C2311yescharacteristic
721C2×#95C2314yes—
722C2×#95C2312yes—
723C2×#95C2312yes—
724C43C2312yes—
725C25C2412yes—
726C25C2412yes—
727C25C2411yescharacteristic
728C2×#41—24no—
729C2×#41—24no—
730C2×#41—24no—
731C2×#41—24no—
732C2×#41—24no—
733C2×#41—28no—
734C2×#41—24no—
735C2×#41—24no—
736C2×#41—24no—
737C2×#41—28no—
738C2×#41—24no—
739C2×#41—42no—
740C2×#41—42no—
741C2×#41—44no—
742C2×#41—44no—
743C2×#41—42no—
744C2×#41—44no—
745C2×#41—42no—
746C2×#41—42no—
747C2×#41—42no—
748C2×#41—44no—
749C2×#41—464no—
750C22×Q8—24no—
751C22×Q8—24no—
752C22×Q8—42no—
753C22×Q8C2411yescharacteristic
754C22×Q8C2412yes—
755C22×Q8C2411yescharacteristic
756C22×Q8C2411yescharacteristic
757C22×D4—28no—
758C22×D4—28no—
759C22×D4—24no—
760C22×D4—24no—
761C22×D4—24no—
762C22×D4—42no—
763C22×D4—44no—
764C22×D4—42no—
765C22×D4—42no—
766C22×D4—44no—
767C22×D4—44no—
768C22×D4—44no—
769C22×D4—44no—
770C22×D4—44no—
771C22×D4—82no—
772C22×D4—82no—
773C22×D4—82no—
774C22×D4—82no—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2411yescharacteristic
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2411yescharacteristic
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2412yes—
786C22×D4C2412yes—
787C22×D4C2411yescharacteristic
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2412yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C23×C4—28no—
799C23×C4—42no—
800C23×C4—42no—
801C23×C4—44no—
802C23×C4—44no—
803C23×C4#4118yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2412yes—
807C23×C4C2412yes—
808C23×C4C2412yes—
809C23×C4C2411yescharacteristic
810C23×C4C2411yescharacteristic
811C23×C4C2411yescharacteristic
812C23×C4C2411yescharacteristic
813C23×C4C2411yescharacteristic
814C23×C4C2412yes—
815C23×C4C2414yes—
816C23×C4C2411yescharacteristic
817C23×C4C2411yescharacteristic
818C23×C4C2412yes—
819C23×C4C2414yes—
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2414yes—
825C23×C4C2414yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831#127—28no—
832#127—44no—
833#127—48no—
834#126—48no—
835#126—84no—
836#125—44no—
837#125—44no—
838#124—28no—
839#124—44no—
840#124—48no—
841#123—28no—
842#123—48no—
843#123—48no—
844#123—48no—
845#123—84no—
846#123—84no—
847#123—84no—
848C22⋊Q8—28no—
849C22⋊Q8—24no—
850C22⋊Q8—24no—
851C22⋊Q8—44no—
852C22⋊Q8—44no—
853C22⋊Q8—44no—
854#121—28no—
855#121—28no—
856#121—28no—
857#121—28no—
858#121—28no—
859#121—24no—
860#121—24no—
861#121—44no—
862#121—48no—
863#121—48no—
864#121—48no—
865#121—44no—
866#121—44no—
867#121—44no—
868#121—44no—
869#121—48no—
870#121—84no—
871#121—84no—
872#121—84no—
873#121—84no—
874#120—28no—
875#120—48no—
876#120—48no—
877C4×Q8—28no—
878C4×Q8—44no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—48no—
883C4×D4—44no—
884C4×D4—48no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—48no—
890C4×D4—84no—
891C4×D4—84no—
892C4×D4—84no—
893#117—24no—
894#117—42no—
895#117—42no—
896#117—44no—
897#117—44no—
898#117—48no—
899#117—44no—
900#117—84no—
901C2×C4⋊C4—24no—
902C2×C4⋊C4—42no—
903C2×C4⋊C4—42no—
904C2×C4⋊C4—44no—
905C2×C4⋊C4—42no—
906C2×C4⋊C4—42no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C22⋊C4—28no—
949C2×C22⋊C4—44no—
950C2×C22⋊C4—44no—
951C2×C22⋊C4—48no—
952C2×C22⋊C4—48no—
953C2×C22⋊C4—44no—
954C2×C22⋊C4—44no—
955C2×C22⋊C4—42no—
956C2×C22⋊C4—42no—
957C2×C22⋊C4—82no—
958C2×C22⋊C4—82no—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C42—42no—
1023C2×C42—44no—
1024C2×C42—42no—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094C24—22no—
1095C24—22no—
1096C24—24no—
1097C24—24no—
1098C24—24no—
1099C24—24no—
1100C24—24no—
1101C24—24no—
1102C24—24no—
1103C24—42no—
1104C24—42no—
1105C24—41no—
1106C24—42no—
1107C24—41no—
1108C24—41no—
1109C24—41no—
1110C24—42no—
1111C24—42no—
1112C24—42no—
1113C24—42no—
1114C24C2×#4114yes—
1115C24C2514yes—
1116C24C2512yes—
1117C24C2512yes—
1118C24C2511yescharacteristic
1119C24C2511yescharacteristic
1120C24C2512yes—
1121C24C2511yescharacteristic
1122#41—232no—
1123#41—416no—
1124#41—416no—
1125#41—432no—
1126#41—416no—
1127#41—432no—
1128#41—88no—
1129C2×Q8—22no—
1130C2×Q8—24no—
1131C2×Q8—22no—
1132C2×Q8—22no—
1133C2×Q8—22no—
1134C2×Q8—22no—
1135C2×Q8—24no—
1136C2×Q8—22no—
1137C2×Q8—42no—
1138C2×Q8—41no—
1139C2×Q8—41no—
1140C2×Q8—416no—
1141C2×Q8H(5,𝔽2)14yes—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—28no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—28no—
1156C2×D4—28no—
1157C2×D4—28no—
1158C2×D4—28no—
1159C2×D4—22no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—22no—
1163C2×D4—24no—
1164C2×D4—22no—
1165C2×D4—24no—
1166C2×D4—22no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—416no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—432no—
1212C2×D4—88no—
1213C2×D4—816no—
1214C2×D4—816no—
1215C2×D4—816no—
1216C2×D4H(5,𝔽2)14yes—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—28no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—416no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—432no—
1294C22×C4C2×#4114yes—
1295C22×C4C2×#4114yes—
1296C22×C4C2×#4114yes—
1297C22×C4C2×#4114yes—
1298C22×C4C2×#4114yes—
1299C22×C4C2×#4114yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2514yes—
1309C22×C4C2514yes—
1310C22×C4C2514yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—28no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—28no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—28no—
1431C42—42no—
1432C42—42no—
1433C42—42no—
1434C42—42no—
1435C42—44no—
1436C42—42no—
1437C42—44no—
1438C42—42no—
1439C42—42no—
1440C42—44no—
1441C42—42no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—22no—
1447C23—21no—
1448C23—21no—
1449C23—22no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—21no—
1460C23—21no—
1461C23—22no—
1462C23—21no—
1463C23—21no—
1464C23—28no—
1465C23—22no—
1466C23—24no—
1467C23—22no—
1468C23—24no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—24no—
1473C23—22no—
1474C23—22no—
1475C23—24no—
1476C23—24no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—24no—
1485C23—24no—
1486C23—44no—
1487C23—44no—
1488C23—48no—
1489C23—48no—
1490C23—48no—
1491C23—48no—
1492C23—48no—
1493C23—84no—
1494C23—82no—
1495C23—82no—
1496C23—84no—
1497C23—84no—
1498C23—82no—
1499C23—82no—
1500C23—84no—
1501C23—84no—
1502C23—84no—
1503C23—84no—
1504C23—84no—
1505C23—84no—
1506C23C22×#4112yes—
1507C23C22×#4112yes—
1508C23C22×#4112yes—
1509C23C2×H(5,𝔽2)14yes—
1510C23#58512yes—
1511C23#58512yes—
1512C23C2611yescharacteristic
1513Q8—28no—
1514Q8—48no—
1515Q8—44no—
1516Q8—82no—
1517D4—216no—
1518D4—28no—
1519D4—48no—
1520D4—48no—
1521D4—48no—
1522D4—48no—
1523D4—416no—
1524D4—48no—
1525D4—44no—
1526D4—48no—
1527D4—84no—
1528D4—82no—
1529D4—84no—
1530D4—88no—
1531D4—88no—
1532D4—88no—
1533D4—88no—
1534D4—84no—
1535D4—88no—
1536D4—88no—
1537D4—88no—
1538D4—164no—
1539D4—164no—
1540C2×C4—216no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—28no—
1550C2×C4—28no—
1551C2×C4—28no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—48no—
1607C2×C4—48no—
1608C2×C4—48no—
1609C2×C4—48no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—48no—
1613C2×C4—82no—
1614C2×C4—82no—
1615C2×C4—88no—
1616C2×C4—84no—
1617C2×C4—84no—
1618C2×C4—84no—
1619C2×C4—88no—
1620C2×C4—164no—
1621C2×C4—162no—
1622C2×C4—162no—
1623C2×C4—162no—
1624C2×C4—164no—
1625C2×C4—162no—
1626C2×C4C22×#4112yes—
1627C2×C4C22×#4112yes—
1628C2×C4C22×#4112yes—
1629C2×C4C22×#4112yes—
1630C2×C4C2×H(5,𝔽2)14yes—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×H(5,𝔽2)12yes—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—24no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—24no—
1647C22—24no—
1648C22—42no—
1649C22—42no—
1650C22—41no—
1651C22—42no—
1652C22—41no—
1653C22—41no—
1654C22—42no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—42no—
1661C22—42no—
1662C22—44no—
1663C22—42no—
1664C22—42no—
1665C22—44no—
1666C22—44no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—44no—
1672C22—44no—
1673C22—42no—
1674C22—42no—
1675C22—44no—
1676C22—44no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—88no—
1682C22—816no—
1683C22—168no—
1684C22#351214yes—
1685C22C23×#4111yescharacteristic
1686C22C22×H(5,𝔽2)11yescharacteristic
1687C22C22×H(5,𝔽2)11yescharacteristic
1688C22C2×#58511yescharacteristic
1689C22C2×#58511yescharacteristic
1690C22H(7,𝔽2)11yescharacteristic
1691C22H(7,𝔽2)11yescharacteristic
1692C4—22no—
1693C4—22no—
1694C4—22no—
1695C4—24no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—44no—
1700C4—42no—
1701C4—42no—
1702C4—42no—
1703C4—42no—
1704C4—42no—
1705C4—44no—
1706C4—44no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—44no—
1711C4—42no—
1712C4—44no—
1713C4#349014yes—
1714C2—24no—
1715C2—42no—
1716C2—44no—
1717C2—42no—
1718C2—82no—
1719C2—82no—
1720C2—84no—
1721C2C2×#349011yescharacteristic
1722C2C2×#351211yescharacteristic
1723C2#6285511yescharacteristic
1724C2#6289911yescharacteristic
1725C2#6289911yescharacteristic
1726C2#6291811yescharacteristic
1727C2#6291811yescharacteristic
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. #48020C2semidirect
2. #48018C2semidirect
3. #47028C2semidirect
4. #46448C2semidirect
5. #43173C2semidirect
6. #43173C2semidirect
7. #39436C2semidirect
8. #39069C2semidirect
9. #38252C2semidirect
10. #38113C2semidirect
11. #37940C2semidirect
12. #37932C2semidirect
13. #37891C2semidirect
14. #37881C2semidirect
15. #37785C2semidirect
16. #37694C2semidirect
17. #37439C2semidirect
18. #37361C2semidirect
19. #37356C2semidirect
20. #36291C2semidirect
21. #36111C2semidirect
22. #35601C2semidirect
23. #35525C2semidirect
24. #35251C2semidirect
25. #35020C2semidirect
26. C2×#2431C2semidirect
27. #34379C2semidirect
28. #34175C2semidirect
29. #34082C2semidirect
31. C2×#540C22semidirect
32. C2×#537C22semidirect
33. C2×#537C22semidirect
35. C2×#529C22semidirect
39. C2×#520C22semidirect
40. C2×#520C22semidirect
41. #2861C22semidirect
42. #2860C22semidirect
43. #2854C22semidirect
46. #2850C22semidirect
49. #2813C22semidirect
50. #2798C22semidirect
51. #2789C22semidirect
52. #2781C22semidirect
53. #2779C22semidirect
54. #2778C22semidirect
55. #2778C22semidirect
56. #2778C22semidirect
57. #2778C22semidirect
58. #2778C22semidirect
59. #2778C22semidirect
60. #2758C22semidirect
61. #2756C22semidirect
62. #2756C22semidirect
63. #2756C22semidirect
64. #2754C22semidirect
65. #2753C22semidirect
66. #2753C22semidirect
67. #2750C22semidirect
68. #2746C22semidirect
69. #2743C22semidirect
70. #2741C22semidirect
71. #2741C22semidirect
72. #2714C22semidirect
73. #2714C22semidirect
74. #2709C22semidirect
75. #2709C22semidirect
76. #2708C22semidirect
77. #2703C22semidirect
78. #2703C22semidirect
79. #2703C22semidirect
80. #2703C22semidirect
81. #2703C22semidirect
82. #2702C22semidirect
83. #2695C22semidirect
84. #2688C22semidirect
85. #2688C22semidirect
86. #2688C22semidirect
87. #2687C22semidirect
88. #2673C22semidirect
89. #2673C22semidirect
90. #2656C22semidirect
93. #2645C22semidirect
94. #2641C22semidirect
95. #2639C22semidirect
97. #2625C22semidirect
98. #2624C22semidirect
99. #2619C22semidirect
101. #2616C22semidirect
102. #2615C22semidirect
103. #2615C22semidirect
104. #2609C22semidirect
105. #2602C22semidirect
106. #2602C22semidirect
107. #2598C22semidirect
108. #2598C22semidirect
109. #2598C22semidirect
110. #2595C22semidirect
111. #2591C22semidirect
112. #2578C22semidirect
113. #2569C22semidirect
114. #2569C22semidirect
115. #2557C22semidirect
116. #2553C22semidirect
117. #2543C22semidirect
118. #2535C22semidirect
119. #2535C22semidirect
120. #2521C22semidirect
121. #2516C22semidirect
122. #2514C22semidirect
123. #2513C22semidirect
126. #2510C22semidirect
129. #2498C22semidirect
130. #2490C22semidirect
131. #2489C22semidirect
132. #2488C22semidirect
134. #2481C22semidirect
137. #2477C22semidirect
138. #2476C22semidirect
139. #2474C22semidirect
140. #2471C22semidirect
141. #2470C22semidirect
142. #2467C22semidirect
143. #2467C22semidirect
144. #2467C22semidirect
145. #2464C22semidirect
146. #2464C22semidirect
147. #2464C22semidirect
148. #2459C22semidirect
149. #2457C22semidirect
150. #2457C22semidirect
151. #2456C22semidirect
152. #2456C22semidirect
153. #2454C22semidirect
154. #2453C22semidirect
155. #2448C22semidirect
156. #2447C22semidirect
157. #2445C22semidirect
158. #2445C22semidirect
159. #2443C22semidirect
160. #2442C22semidirect
161. #2442C22semidirect
162. #2442C22semidirect
163. #2442C22semidirect
170. #2430C22semidirect
171. #2428C22semidirect
172. #2428C22semidirect
173. #2427C22semidirect
174. #2426C22semidirect
175. #2421C22semidirect
176. #2420C22semidirect
179. #2416C22semidirect
180. #2416C22semidirect
181. #2414C22semidirect
182. #2414C22semidirect
183. #2413C22semidirect
191. #2407C22semidirect
192. #2407C22semidirect
197. #2377C22semidirect
198. #2361C22semidirect
199. #2361C22semidirect
205. #2341C22semidirect
207. #2339C22semidirect
208. #2339C22semidirect
213. #2335C22semidirect
214. #2335C22semidirect
215. #2333C22semidirect
216. #2332C22semidirect
219. #2328C22semidirect
222. #2325C22semidirect
223. #2325C22semidirect
224. #2324C22semidirect
225. #2324C22semidirect
226. #2323C22semidirect
229. #2320C22semidirect
234. #2311C22semidirect
235. #2311C22semidirect
236. #2311C22semidirect
237. #2311C22semidirect
238. #2311C22semidirect
239. #2311C22semidirect
240. C4×#124C22semidirect
241. C4×#121C22semidirect
242. #2298C22semidirect
243. #2297C22semidirect
245. #2293C22semidirect
246. #2293C22semidirect
249. #2290C22semidirect

Maximal subgroups

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

subgroupindex
#480202
#480182
#470282
#464482
#431732
#394362
#390692
#382522
#381132
#379402
#379322
#378912
#378812
#377852
#376942
#374392
#373612
#373562
#362912
#361112
#356012
#355252
#352512
#350202
C2×#24312
#343792
#341752
#340822