Finite Group Databasebeta

← #8424383

Subgroups — #8424383

Order 512.

5447 conjugacy classes of subgroups.

The subgroup lattice has 1885 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59680C211yesmaximal, characteristic, complemented
2#59215C212yesmaximal, complemented
3#59097C212yesmaximal, complemented
4#59056C211yesmaximal, characteristic, complemented
5#59051C211yesmaximal, characteristic, complemented
6#55601C214yesmaximal, complemented
7#54811C214yesmaximal, complemented
8#53090C212yesmaximal, complemented
9#53060C212yesmaximal, complemented
10#53055C212yesmaximal, complemented
11#52966C212yesmaximal, complemented
12#52337C214yesmaximal, complemented
13#42989C212yesmaximal, complemented
14#42876C212yesmaximal, complemented
15#42737C212yesmaximal, complemented
16#42463C212yesmaximal, complemented
17#41030C214yesmaximal, complemented
18#40145C212yesmaximal, complemented
19#39852C212yesmaximal, complemented
20#39471C211yesmaximal, characteristic, complemented
21#39469C211yesmaximal, characteristic, complemented
22#39462C212yesmaximal, complemented
23#39350C211yesmaximal, characteristic, complemented
24#39158C211yesmaximal, characteristic, complemented
25#37772C212yesmaximal, complemented
26#37639C211yesmaximal, characteristic, complemented
27#37618C212yesmaximal, complemented
28#37618C211yesmaximal, characteristic, complemented
29#37501C212yesmaximal, complemented
30#36415C211yesmaximal, characteristic, complemented
31#36175C211yesmaximal, characteristic, complemented
32#36149C211yesmaximal, characteristic, complemented
33#34925C211yesmaximal, characteristic, complemented
34#34925C211yesmaximal, characteristic, complemented
35#34917C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#553C2212yes—
38C2×#550C2212yes—
39C2×#547C2211yescharacteristic
40C2×#542C2212yes—
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2212yes—
47C2×#532C2212yes—
48#2862C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2851C2212yes—
52#2850C2212yes—
53#2830C2214yes—
54#2829C2214yes—
55#2828C2214yes—
56#2825C2214yes—
57#2825C2214yes—
58#2825C2214yes—
59#2824C2214yes—
60#2819C2214yes—
61#2818C2214yes—
62#2815C2214yes—
63#2815C2214yes—
64#2815C2214yes—
65#2815C2214yes—
66#2815C2214yes—
67#2797C2214yes—
68#2778C2214yes—
69#2760C2214yes—
70#2759C2214yes—
71#2759C2214yes—
72#2751C2214yes—
73#2746C2214yes—
74#2737C2214yes—
75#2733C2214yes—
76#2733C2214yes—
77#2730C2214yes—
78#2717C2214yes—
79#2716C2214yes—
80#2715C2214yes—
81#2714C2214yes—
82#2714C2214yes—
83#2714C2214yes—
84#2712C2214yes—
85#2710C2214yes—
86#2703C2214yes—
87#2703C2214yes—
88#2700C2214yes—
89#2699C2214yes—
90#2698C2214yes—
91#2691C2214yes—
92#2688C2214yes—
93#2688C2214yes—
94#2688C2214yes—
95#2676C2214yes—
96#2676C2214yes—
97#2676C2214yes—
98#2675C2214yes—
99#2673C2214yes—
100#2673C2214yes—
101#2673C2214yes—
102#2673C2214yes—
103#2673C2214yes—
104#2665C2214yes—
105#2657C2214yes—
106#2657C2212yes—
107#2653C2214yes—
108#2648C2214yes—
109#2644C2212yes—
110#2640C2214yes—
111#2640C2212yes—
112#2631C2214yes—
113#2631C2214yes—
114#2631C2214yes—
115#2631C2214yes—
116#2630C2214yes—
117#2625C2212yes—
118#2619C2212yes—
119#2619C2212yes—
120#2615C2212yes—
121#2615C2214yes—
122#2615C2212yes—
123#2615C2212yes—
124#2615C2212yes—
125#2615C2212yes—
126#2615C2212yes—
127#2603C2214yes—
128#2578C2212yes—
129#2578C2214yes—
130#2576C2212yes—
131#2570C2211yescharacteristic
132#2566C2211yescharacteristic
133#2563C2211yescharacteristic
134#2563C2211yescharacteristic
135#2563C2212yes—
136#2562C2211yescharacteristic
137#2557C2214yes—
138#2557C2214yes—
139#2557C2214yes—
140#2555C2214yes—
141#2555C2214yes—
142#2555C2212yes—
143#2555C2212yes—
144#2551C2211yescharacteristic
145#2551C2211yescharacteristic
146#2547C2211yescharacteristic
147#2547C2211yescharacteristic
148#2547C2212yes—
149#2547C2212yes—
150#2541C2211yescharacteristic
151#2541C2212yes—
152#2541C2211yescharacteristic
153#2541C2212yes—
154#2541C2211yescharacteristic
155#2541C2212yes—
156#2541C2211yescharacteristic
157#2541C2211yescharacteristic
158#2541C2211yescharacteristic
159#2541C2212yes—
160#2541C2212yes—
161#2540C2212yes—
162#2537C2212yes—
163#2537C2212yes—
164#2537C2211yescharacteristic
165#2537C2211yescharacteristic
166#2535C2212yes—
167#2535C2212yes—
168#2535C2212yes—
169#2535C2212yes—
170#2535C2212yes—
171#2535C2212yes—
172#2535C2211yescharacteristic
173#2535C2212yes—
174#2530C2214yes—
175#2527C2214yes—
176#2523C2214yes—
177#2515C2212yes—
178#2514C2212yes—
179#2512C2212yes—
180#2510C2214yes—
181#2499C2212yes—
182#2497C2211yescharacteristic
183#2496C2212yes—
184#2495C2212yes—
185#2494C2212yes—
186#2494C2212yes—
187#2494C2212yes—
188#2494C2211yescharacteristic
189#2492C2212yes—
190#2491C2212yes—
191#2491C2212yes—
192#2491C2211yescharacteristic
193#2491C2211yescharacteristic
194#2491C2212yes—
195#2491C2212yes—
196#2487C2212yes—
197#2486C2212yes—
198#2485C2212yes—
199#2485C2212yes—
200#2467C2214yes—
201#2464C2214yes—
202#2459C2214yes—
203#2459C2214yes—
204#2457C2212yes—
205#2456C2214yes—
206#2456C2214yes—
207#2456C2214yes—
208#2451C2212yes—
209#2447C2212yes—
210#2447C2212yes—
211#2447C2212yes—
212#2447C2212yes—
213#2445C2212yes—
214#2440C2212yes—
215#2439C2212yes—
216#2439C2212yes—
217#2431C2212yes—
218#2431C2214yes—
219#2431C2212yes—
220#2431C2212yes—
221#2431C2214yes—
222#2431C2212yes—
223#2431C2214yes—
224#2431C2212yes—
225#2430C2214yes—
226#2428C2212yes—
227#2428C2212yes—
228#2428C2212yes—
229#2428C2212yes—
230#2428C2212yes—
231#2428C2212yes—
232#2428C2211yescharacteristic
233#2428C2211yescharacteristic
234#2428C2212yes—
235#2427C2212yes—
236#2427C2212yes—
237#2426C2212yes—
238#2422C2211yescharacteristic
239#2420C2212yes—
240#2420C2212yes—
241#2420C2211yescharacteristic
242#2416C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2414C2212yes—
246#2414C2212yes—
247#2414C2212yes—
248#2414C2212yes—
249#2414C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yes—
253#2407C2212yes—
254#2407C2214yes—
255#2401C2212yes—
256#2392C2212yes—
257#2388C2212yes—
258#2388C2214yes—
259#2388C2212yes—
260#2369C2211yescharacteristic
261#2367C2212yes—
262#2366C2212yes—
263#2365C2211yescharacteristic
264#2364C2214yes—
265#2363C2212yes—
266#2363C2212yes—
267#2361C2212yes—
268#2356C2212yes—
269#2354C2211yescharacteristic
270#2352C2212yes—
271#2352C2212yes—
272#2349C2212yes—
273D4×C4⋊C4C2211yescharacteristic
274#2339C2212yes—
275#2339C2212yes—
276#2331C2212yes—
277#2325C2214yes—
278#2311C2212yes—
279#2311C2212yes—
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#125C2211yescharacteristic
283C4×#123C2212yes—
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291#2297C2212yes—
292#2290C2212yes—
293#2285C2211yescharacteristic
294#2283C2212yes—
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2314yes—
305#555—44no—
306#553—48no—
307#550—48no—
308#547—44no—
309#542—48no—
310#532—44no—
311#532—48no—
312#532—48no—
313#532—44no—
314#532—44no—
315#532—44no—
316#532—48no—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×#127C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2314yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2311yescharacteristic
332C2×#127C2312yes—
333C2×#127C2311yescharacteristic
334C2×#127C2314yes—
335C2×#126C2314yes—
336C2×#126C2314yes—
337C2×#125C2311yescharacteristic
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2314yes—
346C2×#124C2314yes—
347C2×#124C2312yes—
348C2×#124C2314yes—
349C2×#124C2314yes—
350C2×#124C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2312yes—
354C2×#123C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2312yes—
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2311yescharacteristic
380C2×#121C2312yes—
381C2×#121C2311yescharacteristic
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2311yescharacteristic
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2311yescharacteristic
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×C4×Q8C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2312yes—
439C22×C42C2312yes—
440C22×C42C2311yescharacteristic
441C22×C42C2311yescharacteristic
442C22×C42C2312yes—
443#401C2312yes—
444#401C2314yes—
445#401C2314yes—
446#400C2312yes—
447#400C2314yes—
448#400C2314yes—
449#400C2312yes—
450#400C2312yes—
451#400C2314yes—
452#399C2314yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#396C2312yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2314yes—
488#395C2312yes—
489#395C2312yes—
490#395C2314yes—
491#395C2314yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2312yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2312yes—
518#394C2312yes—
519#394C2312yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2312yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2312yes—
532#392C2312yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2312yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2312yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2312yes—
569#392C2312yes—
570#392C2314yes—
571#392C2312yes—
572#392C2312yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#391C2314yes—
578#391C2314yes—
579#391C2314yes—
580#391C2314yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2314yes—
590#391C2312yes—
591#391C2314yes—
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2311yescharacteristic
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2311yescharacteristic
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2314yes—
609#390C2312yes—
610#390C2314yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2314yes—
615#390C2314yes—
616#390C2311yescharacteristic
617#390C2314yes—
618#390C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2314yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2314yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#383C2314yes—
733#383C2312yes—
734#383C2314yes—
735#382C2311yescharacteristic
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#382C2312yes—
742#382C2312yes—
743#381C2312yes—
744#381C2314yes—
745#381C2314yes—
746#381C2312yes—
747#381C2314yes—
748#381C2314yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818#376C2312yes—
819#376C2314yes—
820C2×#95C2314yes—
821C43C2311yescharacteristic
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—48no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—48no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—84no—
839C2×#41—82no—
840C22×Q8C2412yes—
841C22×Q8C2414yes—
842C22×Q8C2412yes—
843C22×Q8C2412yes—
844C22×Q8C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2414yes—
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2414yes—
896C23×C4C2414yes—
897C23×C4C2414yes—
898C23×C4C2412yes—
899C4⋊Q8—28no—
900C4⋊Q8—24no—
901C4⋊Q8—24no—
902C4⋊Q8—44no—
903C4⋊Q8—42no—
904C4⋊Q8—42no—
905C4⋊Q8—44no—
906#127—24no—
907#127—42no—
908#127—44no—
909#127—44no—
910#127—42no—
911#127—42no—
912#127—44no—
913#127—44no—
914#127—44no—
915#127—48no—
916#127—84no—
917#126—48no—
918#126—48no—
919#125—24no—
920#124—44no—
921#124—44no—
922#124—44no—
923#124—44no—
924#124—48no—
925#124—44no—
926#124—44no—
927#124—44no—
928#124—44no—
929#124—48no—
930#124—48no—
931#124—48no—
932#124—84no—
933#123—44no—
934#123—48no—
935#123—48no—
936#123—48no—
937C22⋊Q8—48no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940C22⋊Q8—82no—
941#121—28no—
942#121—24no—
943#121—24no—
944#121—48no—
945#121—44no—
946#121—48no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—48no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—42no—
960#121—42no—
961#121—48no—
962#121—44no—
963#121—44no—
964#121—42no—
965#121—44no—
966#121—44no—
967#121—42no—
968#121—44no—
969#121—42no—
970#121—44no—
971#121—42no—
972#121—44no—
973#121—44no—
974#121—44no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—44no—
979#121—44no—
980#121—84no—
981#121—84no—
982#121—84no—
983C4×Q8—28no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—24no—
988C4×D4—24no—
989C4×D4—28no—
990C4×D4—28no—
991C4×D4—24no—
992C4×D4—24no—
993C4×D4—48no—
994C4×D4—42no—
995C4×D4—42no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—42no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—48no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—42no—
1012C4×D4—48no—
1013C4×D4—48no—
1014C4×D4—82no—
1015#117—44no—
1016#117—44no—
1017#117—44no—
1018#117—44no—
1019C2×C4⋊C4—44no—
1020C2×C4⋊C4—44no—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C42—24no—
1143C2×C42—24no—
1144C2×C42—28no—
1145C2×C42—44no—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2414yes—
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2412yes—
1162C2×C42C2414yes—
1163C2×C42C2414yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2412yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2412yes—
1168C2×C42C2414yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2411yescharacteristic
1186#95C2412yes—
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2412yes—
1190#95C2412yes—
1191#95C2411yescharacteristic
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2411yescharacteristic
1197#95C2412yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229C24C2512yes—
1230C24C2512yes—
1231C24C2512yes—
1232C24C2514yes—
1233C24C2512yes—
1234C24C2511yescharacteristic
1235C24C2511yescharacteristic
1236#41—816no—
1237#41—816no—
1238#41—832no—
1239#41—816no—
1240#41—816no—
1241#41—816no—
1242C2×Q8—24no—
1243C2×Q8—24no—
1244C2×Q8—28no—
1245C2×Q8—24no—
1246C2×Q8—24no—
1247C2×Q8—42no—
1248C2×Q8—44no—
1249C2×Q8—42no—
1250C2×Q8—42no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×Q8—44no—
1254C2×Q8—42no—
1255C2×Q8—42no—
1256C2×Q8—42no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—28no—
1274C2×D4—24no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—24no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—44no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—42no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—42no—
1330C2×D4—44no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—44no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—44no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—24no—
1378C22×C4—24no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—28no—
1394C22×C4—28no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—41no—
1398C22×C4—42no—
1399C22×C4—42no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—42no—
1407C22×C4—41no—
1408C22×C4—42no—
1409C22×C4—44no—
1410C22×C4—42no—
1411C22×C4—44no—
1412C22×C4—41no—
1413C22×C4—42no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2514yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2514yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2514yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—28no—
1464C4⋊C4—28no—
1465C4⋊C4—24no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—41no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—44no—
1485C4⋊C4—42no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—42no—
1492C4⋊C4H(5,𝔽2)14yes—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—28no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—28no—
1506C22⋊C4—24no—
1507C22⋊C4—22no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—41no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—41no—
1522C22⋊C4—42no—
1523C22⋊C4—41no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C42—22no—
1569C42—22no—
1570C42—24no—
1571C42—22no—
1572C42—22no—
1573C42—24no—
1574C42—22no—
1575C42—24no—
1576C42—22no—
1577C42—22no—
1578C42—24no—
1579C42—24no—
1580C42—28no—
1581C42—22no—
1582C42—22no—
1583C42—24no—
1584C42—42no—
1585C42—42no—
1586C42—44no—
1587C42—44no—
1588C42—41no—
1589C42—41no—
1590C42—44no—
1591C42H(5,𝔽2)14yes—
1592C42H(5,𝔽2)14yes—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—24no—
1598C23—22no—
1599C23—21no—
1600C23—21no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—24no—
1606C23—22no—
1607C23—21no—
1608C23—24no—
1609C23—21no—
1610C23—22no—
1611C23—21no—
1612C23—21no—
1613C23—22no—
1614C23—21no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—21no—
1619C23—22no—
1620C23—24no—
1621C23—22no—
1622C23—22no—
1623C23—21no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—21no—
1628C23—24no—
1629C23—22no—
1630C23—21no—
1631C23—21no—
1632C23—24no—
1633C23—22no—
1634C23—22no—
1635C23—21no—
1636C23—22no—
1637C23—22no—
1638C23—24no—
1639C23—22no—
1640C23—22no—
1641C23—21no—
1642C23C2611yescharacteristic
1643Q8—48no—
1644Q8—88no—
1645Q8—84no—
1646Q8—84no—
1647Q8—84no—
1648D4—44no—
1649D4—48no—
1650D4—44no—
1651D4—48no—
1652D4—44no—
1653D4—44no—
1654D4—48no—
1655D4—44no—
1656D4—84no—
1657D4—84no—
1658D4—84no—
1659D4—84no—
1660D4—88no—
1661D4—88no—
1662D4—88no—
1663D4—88no—
1664D4—84no—
1665D4—88no—
1666D4—84no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—84no—
1673D4—84no—
1674D4—84no—
1675D4—88no—
1676D4—88no—
1677D4—88no—
1678D4—88no—
1679D4—88no—
1680D4—164no—
1681D4—164no—
1682D4—164no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—24no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—24no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—24no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—24no—
1752C2×C4—22no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—48no—
1757C2×C4—44no—
1758C2×C4—48no—
1759C2×C4—44no—
1760C2×C4—48no—
1761C2×C4—48no—
1762C2×C4—48no—
1763C2×C4—44no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—48no—
1767C2×C4—84no—
1768C2×C4—82no—
1769C2×C4—88no—
1770C2×C4—88no—
1771C2×C4—84no—
1772C2×C4—88no—
1773C2×C4—88no—
1774C2×C4—164no—
1775C2×C4C2×H(5,𝔽2)12yes—
1776C2×C4C2×H(5,𝔽2)12yes—
1777C2×C4C2×H(5,𝔽2)12yes—
1778C2×C4C2×H(5,𝔽2)14yes—
1779C2×C4C2×H(5,𝔽2)12yes—
1780C2×C4C2×H(5,𝔽2)12yes—
1781C2×C4C2×H(5,𝔽2)12yes—
1782C2×C4C2×H(5,𝔽2)12yes—
1783C2×C4#58512yes—
1784C2×C4#58512yes—
1785C2×C4#58512yes—
1786C22—41no—
1787C22—41no—
1788C22—42no—
1789C22—41no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—41no—
1794C22—42no—
1795C22—44no—
1796C22—42no—
1797C22—42no—
1798C22—44no—
1799C22—42no—
1800C22—42no—
1801C22—41no—
1802C22—41no—
1803C22—42no—
1804C22—44no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—44no—
1810C22—42no—
1811C22—41no—
1812C22—42no—
1813C22—41no—
1814C22—42no—
1815C22—42no—
1816C22—44no—
1817C22—42no—
1818C22—41no—
1819C22—41no—
1820C22—42no—
1821C22—41no—
1822C22—44no—
1823C22—41no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—41no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—44no—
1833C22—42no—
1834C22—41no—
1835C22C22×H(5,𝔽2)11yescharacteristic
1836C22C22×H(5,𝔽2)11yescharacteristic
1837C22C22×H(5,𝔽2)11yescharacteristic
1838C22C2×#58511yescharacteristic
1839C22C2×#58511yescharacteristic
1840C22C2×#58511yescharacteristic
1841C22H(7,𝔽2)11yescharacteristic
1842C4—22no—
1843C4—22no—
1844C4—24no—
1845C4—22no—
1846C4—22no—
1847C4—41no—
1848C4—42no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—42no—
1853C4—42no—
1854C4—42no—
1855C4—44no—
1856C4—42no—
1857C4—42no—
1858C4—41no—
1859C4—42no—
1860C4—42no—
1861C4—42no—
1862C4—44no—
1863C4—42no—
1864C4—41no—
1865C4—44no—
1866C4—41no—
1867C4—42no—
1868C4#354614yes—
1869C4#354614yes—
1870C2—81no—
1871C2—81no—
1872C2—82no—
1873C2—82no—
1874C2—82no—
1875C2—82no—
1876C2—84no—
1877C2C2×#354611yescharacteristic
1878C2C2×#354611yescharacteristic
1879C2#6275911yescharacteristic
1880C2#6291211yescharacteristic
1881C2#6292411yescharacteristic
1882C2#6293711yescharacteristic
1883C2#6302211yescharacteristic
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. #59680C2semidirect
2. #59215C2semidirect
3. #59097C2semidirect
4. #59056C2semidirect
5. #59051C2semidirect
6. #55601C2semidirect
7. #54811C2semidirect
8. #53090C2semidirect
9. #53060C2semidirect
10. #53055C2semidirect
11. #52966C2semidirect
12. #52337C2semidirect
13. #42989C2semidirect
14. #42876C2semidirect
15. #42737C2semidirect
16. #42463C2semidirect
17. #41030C2semidirect
18. #40145C2semidirect
19. #39852C2semidirect
20. #39471C2semidirect
21. #39469C2semidirect
22. #39462C2semidirect
23. #39350C2semidirect
24. #39158C2semidirect
25. #37772C2semidirect
26. #37639C2semidirect
27. #37618C2semidirect
28. #37618C2semidirect
29. #37501C2semidirect
30. #36415C2semidirect
31. #36175C2semidirect
32. #36149C2semidirect
33. #34925C2semidirect
34. #34925C2semidirect
35. #34917C2semidirect

Maximal subgroups

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

subgroupindex
#596802
#592152
#590972
#590562
#590512
#556012
#548112
#530902
#530602
#530552
#529662
#523372
#429892
#428762
#427372
#424632
#410302
#401452
#398522
#394712
#394692
#394622
#393502
#391582
#377722
#376392
#376182
#375012
#364152
#361752
#361492
#349252
#349172