Finite Group Databasebeta

← #8467156

Subgroups — #8467156

Order 512.

4899 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59442C211yesmaximal, characteristic, complemented
2#59136C211yesmaximal, characteristic, complemented
3#59039C211yesmaximal, characteristic, complemented
4#57186C214yesmaximal, complemented
5#55411C214yesmaximal, complemented
6#54619C214yesmaximal, complemented
7#52995C212yesmaximal, complemented
8#52972C212yesmaximal, complemented
9#49555C214yesmaximal, complemented
10#46339C212yesmaximal, complemented
11#45682C212yesmaximal, complemented
12#45374C212yesmaximal, complemented
13#45198C212yesmaximal, complemented
14#42591C212yesmaximal, complemented
15#42545C212yesmaximal, complemented
16#42503C212yesmaximal, complemented
17#42498C212yesmaximal, complemented
18#39402C212yesmaximal, complemented
19#39378C212yesmaximal, complemented
20#39169C211yesmaximal, characteristic, complemented
21#38942C211yesmaximal, characteristic, complemented
22#38936C212yesmaximal, complemented
23#38921C211yesmaximal, characteristic, complemented
24#38909C211yesmaximal, characteristic, complemented
25#38200C212yesmaximal, complemented
26#37632C211yesmaximal, characteristic, complemented
27#37350C212yesmaximal, complemented
28#37292C212yesmaximal, complemented
29#36551C211yesmaximal, characteristic, complemented
30#36300C211yesmaximal, characteristic, complemented
31#36122C211yesmaximal, characteristic, complemented
32#35238C211yesmaximal, characteristic, complemented
33#35208C211yesmaximal, characteristic, complemented
34#34934C211yesmaximal, characteristic, complemented
35#34780C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#548C2212yes—
39C2×#540C2214yes—
40C2×#532C2211yescharacteristic
41C22×C4⋊Q8C2211yescharacteristic
42C2×#529C2211yescharacteristic
43C2×#529C2211yescharacteristic
44#2863C2212yes—
45#2860C2212yes—
46#2859C2212yes—
47#2858C2211yescharacteristic
48#2857C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2212yes—
51#2851C2212yes—
52#2850C2212yes—
53#2841C2214yes—
54#2837C2214yes—
55#2829C2214yes—
56#2827C2214yes—
57#2826C2214yes—
58#2824C2214yes—
59#2821C2214yes—
60#2816C2214yes—
61#2790C2214yes—
62#2790C2214yes—
63#2788C2214yes—
64#2785C2214yes—
65#2783C2214yes—
66#2782C2214yes—
67#2781C2214yes—
68#2779C2214yes—
69#2761C2214yes—
70#2761C2214yes—
71#2757C2214yes—
72#2756C2214yes—
73#2756C2214yes—
74#2751C2214yes—
75#2750C2214yes—
76#2750C2214yes—
77#2749C2214yes—
78#2746C2214yes—
79#2743C2214yes—
80#2739C2214yes—
81#2737C2214yes—
82#2729C2214yes—
83#2723C2214yes—
84#2720C2214yes—
85#2718C2214yes—
86#2711C2214yes—
87#2708C2214yes—
88#2705C2214yes—
89#2703C2214yes—
90#2701C2214yes—
91#2701C2214yes—
92#2701C2214yes—
93#2701C2214yes—
94#2699C2214yes—
95#2698C2214yes—
96#2696C2214yes—
97#2691C2214yes—
98#2691C2214yes—
99#2686C2214yes—
100#2686C2214yes—
101#2686C2214yes—
102#2681C2214yes—
103#2680C2214yes—
104#2676C2214yes—
105#2676C2214yes—
106#2673C2214yes—
107#2672C2214yes—
108#2671C2214yes—
109#2671C2214yes—
110#2666C2214yes—
111#2662C2214yes—
112#2660C2212yes—
113#2649C2214yes—
114#2646C2214yes—
115#2641C2212yes—
116#2641C2212yes—
117#2640C2212yes—
118#2635C2214yes—
119#2630C2214yes—
120#2629C2214yes—
121#2628C2212yes—
122#2628C2212yes—
123#2625C2212yes—
124#2624C2212yes—
125#2614C2214yes—
126#2600C2214yes—
127#2589C2214yes—
128#2582C2211yescharacteristic
129#2572C2214yes—
130#2570C2212yes—
131#2567C2211yescharacteristic
132#2567C2211yescharacteristic
133#2567C2211yescharacteristic
134#2566C2212yes—
135#2566C2212yes—
136#2563C2211yescharacteristic
137#2563C2211yescharacteristic
138#2563C2211yescharacteristic
139#2562C2212yes—
140#2554C2212yes—
141#2554C2212yes—
142#2552C2211yescharacteristic
143#2552C2212yes—
144#2552C2211yescharacteristic
145#2550C2212yes—
146#2548C2211yescharacteristic
147#2548C2211yescharacteristic
148#2545C2212yes—
149#2544C2212yes—
150#2544C2212yes—
151#2541C2212yes—
152#2541C2211yescharacteristic
153#2541C2211yescharacteristic
154#2538C2211yescharacteristic
155#2537C2212yes—
156#2537C2212yes—
157#2524C2212yes—
158#2521C2214yes—
159#2518C2214yes—
160#2515C2212yes—
161#2514C2211yescharacteristic
162#2513C2212yes—
163#2513C2212yes—
164#2512C2212yes—
165#2512C2212yes—
166#2511C2212yes—
167#2510C2214yes—
168#2509C2212yes—
169#2508C2211yescharacteristic
170#2507C2212yes—
171#2506C2212yes—
172#2503C2212yes—
173#2503C2211yescharacteristic
174#2501C2212yes—
175#2500C2212yes—
176#2497C2212yes—
177#2495C2211yescharacteristic
178#2493C2212yes—
179#2492C2212yes—
180#2491C2212yes—
181#2491C2212yes—
182#2490C2212yes—
183#2490C2211yescharacteristic
184#2490C2211yescharacteristic
185#2489C2212yes—
186#2489C2211yescharacteristic
187#2487C2212yes—
188#2486C2212yes—
189#2486C2212yes—
190#2486C2212yes—
191#2486C2212yes—
192#2486C2211yescharacteristic
193#2485C2212yes—
194#2474C2214yes—
195#2471C2214yes—
196#2464C2214yes—
197#2462C2214yes—
198#2459C2214yes—
199#2458C2214yes—
200#2454C2212yes—
201#2454C2212yes—
202#2454C2212yes—
203#2453C2212yes—
204#2452C2212yes—
205#2452C2212yes—
206#2452C2212yes—
207#2450C2214yes—
208#2448C2212yes—
209#2447C2212yes—
210#2445C2212yes—
211#2445C2212yes—
212#2445C2212yes—
213#2444C2214yes—
214#2442C2212yes—
215#2442C2211yescharacteristic
216#2440C2212yes—
217#2438C2214yes—
218#2436C2212yes—
219#2432C2212yes—
220#2430C2214yes—
221#2430C2214yes—
222#2428C2212yes—
223#2428C2212yes—
224#2428C2212yes—
225#2427C2212yes—
226#2426C2211yescharacteristic
227#2426C2211yescharacteristic
228#2422C2212yes—
229#2422C2214yes—
230#2422C2212yes—
231#2420C2214yes—
232#2420C2212yes—
233#2420C2212yes—
234#2420C2214yes—
235#2419C2212yes—
236#2417C2212yes—
237#2417C2211yescharacteristic
238#2416C2212yes—
239#2416C2212yes—
240#2416C2212yes—
241#2416C2212yes—
242#2416C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2415C2212yes—
246#2414C2212yes—
247#2409C2214yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2402C2212yes—
253#2401C2212yes—
254#2392C2212yes—
255#2392C2212yes—
256#2377C2214yes—
257#2369C2211yescharacteristic
258#2367C2212yes—
259#2366C2211yescharacteristic
260#2361C2212yes—
261#2361C2212yes—
262#2361C2212yes—
263#2357C2212yes—
264#2354C2212yes—
265#2354C2211yescharacteristic
266#2352C2212yes—
267#2349C2212yes—
268D4×C4⋊C4C2212yes—
269D4×C4⋊C4C2212yes—
270D4×C4⋊C4C2211yescharacteristic
271#2345C2212yes—
272#2339C2212yes—
273#2330C2212yes—
274#2328C2212yes—
275#2324C2212yes—
276#2324C2212yes—
277#2320C2212yes—
278#2319C2212yes—
279#2317C2212yes—
280#2311C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2212yes—
284C4×#125C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×#123C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291#2295C2211yescharacteristic
292#2293C2212yes—
293#2293C2212yes—
294#2283C2211yescharacteristic
295#2283C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302#554—44no—
303#550—44no—
304#548—48no—
305#540—416no—
306#532—44no—
307C2×C4⋊Q8—44no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2312yes—
314C2×#127C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2312yes—
318#529—44no—
319#529—44no—
320C2×#126C2312yes—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2314yes—
335C2×#124C2312yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×#121C2311yescharacteristic
354C2×#121C2314yes—
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2311yescharacteristic
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2311yescharacteristic
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2314yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2312yes—
413#401C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2314yes—
419#400C2312yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2314yes—
427#400C2312yes—
428#400C2312yes—
429#400C2312yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2314yes—
451#398C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2312yes—
481#396C2312yes—
482#396C2312yes—
483#396C2312yes—
484#396C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#394C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2312yes—
536#392C2314yes—
537#392C2312yes—
538#392C2314yes—
539#391C2312yes—
540#391C2311yescharacteristic
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2314yes—
546#391C2312yes—
547#391C2312yes—
548#391C2314yes—
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2311yescharacteristic
552#390C2312yes—
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2314yes—
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2311yescharacteristic
585#390C2312yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2314yes—
603#389C2312yes—
604#389C2314yes—
605#389C2314yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2314yes—
611#389C2314yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2314yes—
616#389C2311yescharacteristic
617#389C2312yes—
618#389C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2314yes—
722#384C2312yes—
723#383C2312yes—
724#383C2312yes—
725#383C2314yes—
726#383C2312yes—
727#382C2311yescharacteristic
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2314yes—
732#382C2314yes—
733#382C2311yescharacteristic
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2312yes—
737#381C2314yes—
738#381C2314yes—
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#381C2312yes—
743#381C2314yes—
744#381C2312yes—
745#381C2312yes—
746#381C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2314yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2314yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812#376C2312yes—
813#376C2312yes—
814C2×#95C2314yes—
815C2×#95C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—44no—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—82no—
824C22×Q8—44no—
825C22×Q8—44no—
826C22×Q8—82no—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C4⋊Q8—24no—
867C4⋊Q8—24no—
868C4⋊Q8—44no—
869C4⋊Q8—44no—
870C4⋊Q8—44no—
871#127—28no—
872#127—24no—
873#127—44no—
874#127—42no—
875#127—44no—
876#126—44no—
877#126—44no—
878#126—84no—
879#125—44no—
880#125—42no—
881#125—42no—
882#125—42no—
883#125—48no—
884#125—44no—
885#124—44no—
886#124—44no—
887#124—42no—
888#124—42no—
889#124—44no—
890#124—48no—
891#124—82no—
892#123—28no—
893#123—48no—
894#123—44no—
895#123—44no—
896#123—48no—
897#123—48no—
898#123—84no—
899#123—84no—
900C22⋊Q8—44no—
901C22⋊Q8—48no—
902C22⋊Q8—48no—
903C22⋊Q8—42no—
904C22⋊Q8—42no—
905C22⋊Q8—42no—
906C22⋊Q8—42no—
907C22⋊Q8—44no—
908C22⋊Q8—84no—
909#121—216no—
910#121—24no—
911#121—24no—
912#121—48no—
913#121—48no—
914#121—48no—
915#121—48no—
916#121—48no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—42no—
922#121—42no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—48no—
927#121—44no—
928#121—84no—
929#121—84no—
930C4×Q8—24no—
931C4×Q8—24no—
932C4×Q8—24no—
933C4×Q8—44no—
934C4×Q8—42no—
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—24no—
938C4×D4—24no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—42no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—42no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—48no—
954C4×D4—48no—
955C4×D4—48no—
956#117—44no—
957#117—44no—
958#117—48no—
959#117—44no—
960C2×C4⋊C4—44no—
961C2×C4⋊C4—42no—
962C2×C4⋊C4—42no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C42—24no—
1097C2×C42—24no—
1098C2×C42—44no—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24C2512yes—
1194C24C2512yes—
1195C24C2514yes—
1196C24C2511yescharacteristic
1197C24C2511yescharacteristic
1198#41—816no—
1199#41—816no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—24no—
1203C2×Q8—24no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8—44no—
1212C2×Q8—44no—
1213C2×Q8—42no—
1214C2×Q8—44no—
1215C2×Q8—816no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—28no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4H(5,𝔽2)14yes—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—28no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—28no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—44no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—42no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2514yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2514yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2514yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—28no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—41no—
1384C4⋊C4—42no—
1385C4⋊C4—41no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C42−1+414yes—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—24no—
1417C22⋊C4—28no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—41no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—41no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
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—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—24no—
1485C42—24no—
1486C42—22no—
1487C42—24no—
1488C42—24no—
1489C42—22no—
1490C42—24no—
1491C42—24no—
1492C42—24no—
1493C42—22no—
1494C42—24no—
1495C42—22no—
1496C42—22no—
1497C42—42no—
1498C42—42no—
1499C42—44no—
1500C42—44no—
1501C42—44no—
1502C42—42no—
1503C42—41no—
1504C42—42no—
1505C42H(5,𝔽2)14yes—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—22no—
1519C23—22no—
1520C23—24no—
1521C23—22no—
1522C23—22no—
1523C23—24no—
1524C23—24no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—24no—
1529C23—22no—
1530C23—22no—
1531C23—24no—
1532C23—22no—
1533C23—24no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—24no—
1538C23—22no—
1539C23C2×H(5,𝔽2)12yes—
1540C23C2×H(5,𝔽2)12yes—
1541C23C2611yescharacteristic
1542Q8—48no—
1543Q8—44no—
1544Q8—44no—
1545Q8—84no—
1546Q8—88no—
1547D4—44no—
1548D4—48no—
1549D4—48no—
1550D4—44no—
1551D4—44no—
1552D4—48no—
1553D4—48no—
1554D4—84no—
1555D4—84no—
1556D4—88no—
1557D4—84no—
1558D4—84no—
1559D4—88no—
1560D4—84no—
1561D4—88no—
1562D4—164no—
1563D4—164no—
1564D4—164no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—24no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—21no—
1643C2×C4—24no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—44no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—48no—
1653C2×C4—48no—
1654C2×C4—88no—
1655C2×C4—84no—
1656C2×C4—88no—
1657C2×C4—84no—
1658C2×C4—88no—
1659C2×C4—88no—
1660C2×C4—164no—
1661C2×C4—164no—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×H(5,𝔽2)12yes—
1665C2×C4C2×H(5,𝔽2)12yes—
1666C2×C4C2×2−1+414yes—
1667C2×C4C2×2−1+412yes—
1668C2×C4#58512yes—
1669C2×C4#58512yes—
1670C2×C4#58512yes—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—42no—
1686C22—42no—
1687C22—44no—
1688C22—42no—
1689C22—42no—
1690C22—44no—
1691C22—44no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—44no—
1697C22—44no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—44no—
1703C22—44no—
1704C22—42no—
1705C22—42no—
1706C22C22×H(5,𝔽2)11yescharacteristic
1707C22C22×H(5,𝔽2)11yescharacteristic
1708C22C22×2−1+411yescharacteristic
1709C22C2×#58511yescharacteristic
1710C22C2×#58511yescharacteristic
1711C22C2×#58511yescharacteristic
1712C22H(7,𝔽2)11yescharacteristic
1713C4—24no—
1714C4—22no—
1715C4—22no—
1716C4—41no—
1717C4—41no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—41no—
1722C4—41no—
1723C4—42no—
1724C4—41no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—44no—
1729C4—41no—
1730C4—41no—
1731C4—44no—
1732C4—44no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—41no—
1739C4—41no—
1740C4—42no—
1741C4#354714yes—
1742C4#356214yes—
1743C2—42no—
1744C2—42no—
1745C2—82no—
1746C2—82no—
1747C2—84no—
1748C2C2×#356211yescharacteristic
1749C2C2×#354711yescharacteristic
1750C2#6282211yescharacteristic
1751C2#6291211yescharacteristic
1752C2#6293711yescharacteristic
1753C2#6295211yescharacteristic
1754C2#6301311yescharacteristic
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. #59442C2semidirect
2. #59136C2semidirect
3. #59039C2semidirect
4. #57186C2semidirect
5. #55411C2semidirect
6. #54619C2semidirect
7. #52995C2semidirect
8. #52972C2semidirect
9. #49555C2semidirect
10. #46339C2semidirect
11. #45682C2semidirect
12. #45374C2semidirect
13. #45198C2semidirect
14. #42591C2semidirect
15. #42545C2semidirect
16. #42503C2semidirect
17. #42498C2semidirect
18. #39402C2semidirect
19. #39378C2semidirect
20. #39169C2semidirect
21. #38942C2semidirect
22. #38936C2semidirect
23. #38921C2semidirect
24. #38909C2semidirect
25. #38200C2semidirect
26. #37632C2semidirect
27. #37350C2semidirect
28. #37292C2semidirect
29. #36551C2semidirect
30. #36300C2semidirect
31. #36122C2semidirect
32. #35238C2semidirect
33. #35208C2semidirect
34. #34934C2semidirect
35. #34780C2semidirect

Maximal subgroups

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

subgroupindex
#594422
#591362
#590392
#571862
#554112
#546192
#529952
#529722
#495552
#463392
#456822
#453742
#451982
#425912
#425452
#425032
#424982
#394022
#393782
#391692
#389422
#389362
#389212
#389092
#382002
#376322
#373502
#372922
#365512
#363002
#361222
#352382
#352082
#349342
#347802