Finite Group Databasebeta

← #8464336

Subgroups — #8464336

Order 512.

4877 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#59828C211yesmaximal, characteristic, complemented
2#59066C211yesmaximal, characteristic, complemented
3#59052C211yesmaximal, characteristic, complemented
4#57917C214yesmaximal, complemented
5#55690C214yesmaximal, complemented
6#53831C214yesmaximal, complemented
7#53062C212yesmaximal, complemented
8#53051C212yesmaximal, complemented
9#51521C214yesmaximal, complemented
10#46104C212yesmaximal, complemented
11#45649C212yesmaximal, complemented
12#45335C212yesmaximal, complemented
13#45048C212yesmaximal, complemented
14#42927C212yesmaximal, complemented
15#42838C212yesmaximal, complemented
16#42736C212yesmaximal, complemented
17#42577C212yesmaximal, complemented
18#40147C212yesmaximal, complemented
19#39692C212yesmaximal, complemented
20#39201C211yesmaximal, characteristic, complemented
21#39174C212yesmaximal, complemented
22#39147C211yesmaximal, characteristic, complemented
23#39126C211yesmaximal, characteristic, complemented
24#38952C211yesmaximal, characteristic, complemented
25#38253C212yesmaximal, complemented
26#37627C211yesmaximal, characteristic, complemented
27#37329C212yesmaximal, complemented
28#37318C212yesmaximal, complemented
29#36455C211yesmaximal, characteristic, complemented
30#36287C211yesmaximal, characteristic, complemented
31#36150C211yesmaximal, characteristic, complemented
32#35200C211yesmaximal, characteristic, complemented
33#35191C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34724C211yesmaximal, characteristic, complemented
36C2×#557C2212yes—
37C2×#554C2211yescharacteristic
38C2×#550C2212yes—
39C2×#550C2211yescharacteristic
40C2×#547C2212yes—
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#529C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2861C2212yes—
46#2859C2212yes—
47#2858C2212yes—
48#2858C2211yescharacteristic
49#2857C2211yescharacteristic
50#2856C2211yescharacteristic
51#2856C2212yes—
52#2851C2212yes—
53#2851C2212yes—
54#2837C2214yes—
55#2837C2214yes—
56#2829C2214yes—
57#2829C2214yes—
58#2829C2214yes—
59#2828C2214yes—
60#2827C2214yes—
61#2813C2214yes—
62#2803C2214yes—
63#2800C2214yes—
64#2797C2214yes—
65#2796C2214yes—
66#2796C2214yes—
67#2795C2214yes—
68#2790C2214yes—
69#2786C2214yes—
70#2780C2214yes—
71#2780C2214yes—
72#2768C2214yes—
73#2761C2214yes—
74#2757C2214yes—
75#2754C2214yes—
76#2753C2214yes—
77#2747C2214yes—
78#2747C2214yes—
79#2732C2214yes—
80#2726C2214yes—
81#2712C2214yes—
82#2711C2214yes—
83#2711C2214yes—
84#2711C2214yes—
85#2711C2214yes—
86#2711C2214yes—
87#2711C2214yes—
88#2711C2214yes—
89#2710C2214yes—
90#2710C2214yes—
91#2710C2214yes—
92#2709C2214yes—
93#2708C2214yes—
94#2708C2214yes—
95#2707C2214yes—
96#2706C2214yes—
97#2702C2214yes—
98#2701C2214yes—
99#2701C2214yes—
100#2694C2214yes—
101#2694C2214yes—
102#2694C2214yes—
103#2694C2214yes—
104#2682C2214yes—
105#2681C2214yes—
106#2673C2214yes—
107#2672C2214yes—
108#2672C2214yes—
109#2671C2214yes—
110#2671C2214yes—
111#2661C2214yes—
112#2661C2214yes—
113#2651C2214yes—
114#2649C2214yes—
115#2644C2212yes—
116#2641C2214yes—
117#2638C2214yes—
118#2630C2214yes—
119#2629C2212yes—
120#2629C2212yes—
121#2625C2212yes—
122#2624C2212yes—
123#2624C2212yes—
124#2620C2212yes—
125#2620C2212yes—
126#2618C2214yes—
127#2612C2214yes—
128#2603C2214yes—
129#2599C2214yes—
130#2597C2214yes—
131#2582C2212yes—
132#2580C2212yes—
133#2579C2214yes—
134#2567C2211yescharacteristic
135#2566C2214yes—
136#2566C2212yes—
137#2563C2211yescharacteristic
138#2562C2212yes—
139#2557C2214yes—
140#2556C2214yes—
141#2552C2212yes—
142#2552C2212yes—
143#2552C2211yescharacteristic
144#2548C2212yes—
145#2548C2214yes—
146#2548C2211yescharacteristic
147#2547C2211yescharacteristic
148#2546C2211yescharacteristic
149#2546C2211yescharacteristic
150#2542C2212yes—
151#2542C2211yescharacteristic
152#2541C2211yescharacteristic
153#2541C2212yes—
154#2540C2212yes—
155#2537C2212yes—
156#2537C2212yes—
157#2537C2211yescharacteristic
158#2536C2212yes—
159#2532C2212yes—
160#2531C2214yes—
161#2530C2214yes—
162#2526C2212yes—
163#2522C2214yes—
164#2518C2212yes—
165#2513C2212yes—
166#2513C2211yescharacteristic
167#2513C2212yes—
168#2508C2211yescharacteristic
169#2506C2212yes—
170#2506C2212yes—
171#2506C2212yes—
172#2501C2212yes—
173#2500C2211yescharacteristic
174#2499C2212yes—
175#2497C2212yes—
176#2497C2211yescharacteristic
177#2497C2212yes—
178#2491C2212yes—
179#2491C2211yescharacteristic
180#2490C2212yes—
181#2490C2212yes—
182#2490C2212yes—
183#2485C2211yescharacteristic
184#2485C2212yes—
185#2485C2212yes—
186#2478C2212yes—
187#2473C2214yes—
188#2473C2214yes—
189#2470C2212yes—
190#2466C2212yes—
191#2459C2212yes—
192#2458C2214yes—
193#2458C2214yes—
194#2455C2212yes—
195#2454C2212yes—
196#2454C2212yes—
197#2454C2212yes—
198#2454C2212yes—
199#2453C2214yes—
200#2453C2211yescharacteristic
201#2448C2212yes—
202#2447C2211yescharacteristic
203#2446C2212yes—
204#2446C2212yes—
205#2445C2212yes—
206#2445C2212yes—
207#2445C2212yes—
208#2445C2212yes—
209#2443C2214yes—
210#2442C2212yes—
211#2441C2211yescharacteristic
212#2441C2212yes—
213#2441C2212yes—
214#2439C2211yescharacteristic
215#2432C2211yescharacteristic
216#2432C2212yes—
217#2432C2212yes—
218#2432C2212yes—
219#2432C2212yes—
220#2431C2212yes—
221#2429C2211yescharacteristic
222#2429C2212yes—
223#2428C2214yes—
224#2428C2212yes—
225#2428C2212yes—
226#2427C2212yes—
227#2427C2212yes—
228#2426C2212yes—
229#2426C2212yes—
230#2426C2212yes—
231#2426C2212yes—
232#2426C2212yes—
233#2423C2212yes—
234#2423C2212yes—
235#2423C2214yes—
236#2422C2212yes—
237#2422C2212yes—
238#2422C2212yes—
239#2422C2212yes—
240#2422C2211yescharacteristic
241#2417C2212yes—
242#2416C2212yes—
243#2415C2211yescharacteristic
244#2414C2212yes—
245#2414C2212yes—
246#2414C2214yes—
247#2414C2212yes—
248#2414C2212yes—
249#2414C2211yescharacteristic
250#2407C2212yes—
251#2407C2212yes—
252#2407C2211yescharacteristic
253#2398C2212yes—
254#2395C2212yes—
255#2392C2212yes—
256#2392C2212yes—
257#2376C2214yes—
258#2370C2212yes—
259#2369C2211yescharacteristic
260#2367C2212yes—
261#2366C2211yescharacteristic
262#2365C2212yes—
263#2363C2212yes—
264#2363C2212yes—
265#2360C2212yes—
266Q8×C4⋊C4C2211yescharacteristic
267Q8×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2212yes—
269#2346C2212yes—
270#2341C2212yes—
271#2341C2212yes—
272#2327C2212yes—
273#2326C2214yes—
274#2326C2212yes—
275#2326C2212yes—
276#2324C2212yes—
277#2324C2212yes—
278#2324C2212yes—
279#2324C2212yes—
280#2311C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×C4⋊Q8C2211yescharacteristic
284C4×#124C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×#123C2212yes—
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291#2298C2212yes—
292#2296C2212yes—
293#2295C2212yes—
294#2293C2211yescharacteristic
295#2293C2211yescharacteristic
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302#557—48no—
303#554—44no—
304#550—44no—
305#550—48no—
306#547—48no—
307#533—44no—
308#532—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2314yes—
319#529—44no—
320C2×#126C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×#125C2311yescharacteristic
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2311yescharacteristic
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2311yescharacteristic
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C4×#41—44no—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2314yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2314yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#400C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2312yes—
432#399C2314yes—
433#399C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2312yes—
487#396C2314yes—
488#395C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2312yes—
523#394C2314yes—
524#394C2312yes—
525#394C2312yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2312yes—
532#393C2312yes—
533#392C2312yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2312yes—
541#392C2314yes—
542#391C2311yescharacteristic
543#391C2311yescharacteristic
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2311yescharacteristic
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2314yes—
552#391C2312yes—
553#391C2312yes—
554#391C2314yes—
555#391C2311yescharacteristic
556#390C2312yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2314yes—
570#390C2312yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2311yescharacteristic
580#390C2312yes—
581#390C2314yes—
582#390C2312yes—
583#390C2312yes—
584#390C2314yes—
585#390C2311yescharacteristic
586#390C2312yes—
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2312yes—
590#390C2314yes—
591#390C2311yescharacteristic
592#390C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2314yes—
608#389C2312yes—
609#389C2312yes—
610#389C2314yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2314yes—
617#389C2311yescharacteristic
618#389C2314yes—
619#389C2314yes—
620#389C2311yescharacteristic
621#389C2314yes—
622#389C2312yes—
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2314yes—
628#389C2312yes—
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2314yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2312yes—
688#387C2314yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2314yes—
694#387C2312yes—
695#387C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2314yes—
710#386C2312yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2312yes—
735#385C2312yes—
736#385C2312yes—
737#384C2311yescharacteristic
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#384C2314yes—
741#384C2312yes—
742#384C2312yes—
743#384C2312yes—
744#384C2312yes—
745#384C2312yes—
746#383C2312yes—
747#382C2312yes—
748#382C2311yescharacteristic
749#382C2312yes—
750#382C2311yescharacteristic
751#382C2314yes—
752#381C2312yes—
753#381C2312yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814#376C2312yes—
815#376C2314yes—
816#376C2312yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—24no—
820C2×#41—28no—
821C2×#41—42no—
822C2×#41—42no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C4⋊Q8—28no—
865C4⋊Q8—24no—
866C4⋊Q8—24no—
867C4⋊Q8—24no—
868C4⋊Q8—24no—
869C4⋊Q8—44no—
870#127—24no—
871#127—44no—
872#127—48no—
873#127—44no—
874#126—44no—
875#125—44no—
876#125—42no—
877#125—44no—
878#125—44no—
879#125—48no—
880#125—48no—
881#125—48no—
882#125—84no—
883#124—44no—
884#124—44no—
885#124—44no—
886#124—42no—
887#124—44no—
888#124—44no—
889#124—48no—
890#124—82no—
891#123—44no—
892#123—48no—
893#123—44no—
894#123—48no—
895#123—48no—
896#123—84no—
897#123—84no—
898#123—84no—
899C22⋊Q8—24no—
900C22⋊Q8—48no—
901C22⋊Q8—44no—
902C22⋊Q8—42no—
903C22⋊Q8—42no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—82no—
909#121—28no—
910#121—24no—
911#121—48no—
912#121—48no—
913#121—44no—
914#121—42no—
915#121—44no—
916#121—44no—
917#121—42no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—48no—
924#121—48no—
925#121—82no—
926#121—84no—
927#121—84no—
928C4×Q8—28no—
929C4×Q8—24no—
930C4×Q8—24no—
931C4×Q8—44no—
932C4×Q8—48no—
933C4×Q8—42no—
934C4×Q8—44no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—42no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—42no—
949C4×D4—42no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—48no—
954C4×D4—44no—
955C4×D4—44no—
956#117—24no—
957#117—44no—
958#117—44no—
959#117—44no—
960#117—44no—
961#117—42no—
962#117—42no—
963#117—44no—
964C2×C4⋊C4—48no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C42—24no—
1104C2×C42—24no—
1105C2×C42—44no—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2414yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2414yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2412yes—
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196C24C2511yescharacteristic
1197C24C2512yes—
1198C24C2512yes—
1199C24C2511yescharacteristic
1200C24C2514yes—
1201#41—416no—
1202#41—816no—
1203#41—816no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8H(5,𝔽2)14yes—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—28no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—28no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—42no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—44no—
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×D4—44no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—28no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—44no—
1302C22×C4—41no—
1303C22×C4—42no—
1304C22×C4—41no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2514yes—
1328C22×C4C2512yes—
1329C22×C4C2514yes—
1330C22×C4C2514yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—28no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—28no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—28no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—41no—
1380C4⋊C4—41no—
1381C4⋊C4—41no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C42−1+414yes—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—24no—
1486C42—24no—
1487C42—24no—
1488C42—28no—
1489C42—24no—
1490C42—22no—
1491C42—24no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—24no—
1496C42—24no—
1497C42—22no—
1498C42—42no—
1499C42—42no—
1500C42—42no—
1501C42—44no—
1502C42—44no—
1503C42—44no—
1504C42—44no—
1505C42—42no—
1506C42—41no—
1507C42—42no—
1508C42H(5,𝔽2)14yes—
1509C23—21no—
1510C23—22no—
1511C23—22no—
1512C23—21no—
1513C23—22no—
1514C23—24no—
1515C23—21no—
1516C23—24no—
1517C23—22no—
1518C23—21no—
1519C23—21no—
1520C23—22no—
1521C23—24no—
1522C23—22no—
1523C23—21no—
1524C23—24no—
1525C23—21no—
1526C23—22no—
1527C23—21no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—21no—
1532C23—21no—
1533C23—24no—
1534C23—22no—
1535C23—22no—
1536C23—24no—
1537C23—21no—
1538C23—21no—
1539C23—24no—
1540C23—21no—
1541C23—21no—
1542C23—22no—
1543C23—22no—
1544C23C2611yescharacteristic
1545Q8—28no—
1546Q8—48no—
1547Q8—44no—
1548Q8—48no—
1549Q8—84no—
1550D4—48no—
1551D4—44no—
1552D4—44no—
1553D4—48no—
1554D4—44no—
1555D4—48no—
1556D4—84no—
1557D4—88no—
1558D4—84no—
1559D4—88no—
1560D4—84no—
1561D4—84no—
1562D4—88no—
1563D4—164no—
1564D4—164no—
1565D4—164no—
1566D4—164no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—48no—
1648C2×C4—44no—
1649C2×C4—48no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—48no—
1654C2×C4—82no—
1655C2×C4—82no—
1656C2×C4—88no—
1657C2×C4—88no—
1658C2×C4—84no—
1659C2×C4—88no—
1660C2×C4—164no—
1661C2×C4C2×H(5,𝔽2)12yes—
1662C2×C4C2×H(5,𝔽2)14yes—
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—42no—
1672C22—41no—
1673C22—41no—
1674C22—42no—
1675C22—44no—
1676C22—41no—
1677C22—42no—
1678C22—42no—
1679C22—44no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—44no—
1684C22—42no—
1685C22—42no—
1686C22—44no—
1687C22—41no—
1688C22—42no—
1689C22—42no—
1690C22—41no—
1691C22—41no—
1692C22—42no—
1693C22—44no—
1694C22—42no—
1695C22—41no—
1696C22—41no—
1697C22—42no—
1698C22—41no—
1699C22—42no—
1700C22—44no—
1701C22—42no—
1702C22—41no—
1703C22—41no—
1704C22—42no—
1705C22—44no—
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—24no—
1717C4—41no—
1718C4—41no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—41no—
1724C4—41no—
1725C4—42no—
1726C4—42no—
1727C4—44no—
1728C4—42no—
1729C4—42no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—42no—
1734C4—42no—
1735C4—44no—
1736C4—41no—
1737C4—42no—
1738C4—41no—
1739C4—44no—
1740C4—42no—
1741C4#354214yes—
1742C4#355414yes—
1743C2—81no—
1744C2—82no—
1745C2—81no—
1746C2—84no—
1747C2—82no—
1748C2C2×#354211yescharacteristic
1749C2C2×#355411yescharacteristic
1750C2#6284011yescharacteristic
1751C2#6292311yescharacteristic
1752C2#6295211yescharacteristic
1753C2#6295511yescharacteristic
1754C2#6301511yescharacteristic
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. #59828C2semidirect
2. #59066C2semidirect
3. #59052C2semidirect
4. #57917C2semidirect
5. #55690C2semidirect
6. #53831C2semidirect
7. #53062C2semidirect
8. #53051C2semidirect
9. #51521C2semidirect
10. #46104C2semidirect
11. #45649C2semidirect
12. #45335C2semidirect
13. #45048C2semidirect
14. #42927C2semidirect
15. #42838C2semidirect
16. #42736C2semidirect
17. #42577C2semidirect
18. #40147C2semidirect
19. #39692C2semidirect
20. #39201C2semidirect
21. #39174C2semidirect
22. #39147C2semidirect
23. #39126C2semidirect
24. #38952C2semidirect
25. #38253C2semidirect
26. #37627C2semidirect
27. #37329C2semidirect
28. #37318C2semidirect
29. #36455C2semidirect
30. #36287C2semidirect
31. #36150C2semidirect
32. #35200C2semidirect
33. #35191C2semidirect
34. #34800C2semidirect
35. #34724C2semidirect

Maximal subgroups

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

subgroupindex
#598282
#590662
#590522
#579172
#556902
#538312
#530622
#530512
#515212
#461042
#456492
#453352
#450482
#429272
#428382
#427362
#425772
#401472
#396922
#392012
#391742
#391472
#391262
#389522
#382532
#376272
#373292
#373182
#364552
#362872
#361502
#352002
#351912
#348002
#347242