Finite Group Databasebeta

← #8094476

Subgroups — #8094476

Order 512.

5486 conjugacy classes of subgroups.

The subgroup lattice has 1871 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53152C212yesmaximal, complemented
2#53151C212yesmaximal, complemented
3#53073C212yesmaximal, complemented
4#53063C212yesmaximal, complemented
5#53059C212yesmaximal, complemented
6#53022C212yesmaximal, complemented
7#53011C212yesmaximal, complemented
8#53008C212yesmaximal, complemented
9#52765C214yesmaximal, complemented
10#52529C214yesmaximal, complemented
11#46040C214yesmaximal, complemented
12#45982C214yesmaximal, complemented
13#45708C212yesmaximal, complemented
14#45687C212yesmaximal, complemented
15#45683C212yesmaximal, complemented
16#45677C212yesmaximal, complemented
17#45669C212yesmaximal, complemented
18#45628C212yesmaximal, complemented
19#45593C212yesmaximal, complemented
20#45515C212yesmaximal, complemented
21#35660C211yesmaximal, characteristic, complemented
22#35660C211yesmaximal, characteristic, complemented
23#35660C211yesmaximal, characteristic, complemented
24#35621C211yesmaximal, characteristic, complemented
25#35618C211yesmaximal, characteristic, complemented
26#35564C211yesmaximal, characteristic, complemented
27#35328C211yesmaximal, characteristic, complemented
28#35308C211yesmaximal, characteristic, complemented
29#35308C211yesmaximal, characteristic, complemented
30#35255C211yesmaximal, characteristic, complemented
31#35166C211yesmaximal, characteristic, complemented
32#35160C211yesmaximal, characteristic, complemented
33#34937C211yesmaximal, characteristic, complemented
34C2×#2514C211yesmaximal, characteristic, complemented
35#34744C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#537C2211yescharacteristic
41C2×#537C2211yescharacteristic
42C2×#536C2211yescharacteristic
43C2×#536C2211yescharacteristic
44C2×#536C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic
47C2×#532C2211yescharacteristic
48C2×#532C2211yescharacteristic
49C2×#520C2211yescharacteristic
50C2×C4×#41C2211yescharacteristic
51C2×C4×#41C2211yescharacteristic
52#2857C2212yes—
53#2857C2212yes—
54#2856C2214yes—
55#2855C2212yes—
56#2854C2212yes—
57#2852C2214yes—
58#2850C2212yes—
59#2850C2212yes—
60#2850C2212yes—
61#2850C2212yes—
62#2843C2214yes—
63#2841C2214yes—
64#2838C2214yes—
65#2838C2214yes—
66#2838C2214yes—
67#2838C2214yes—
68#2837C2214yes—
69#2834C2214yes—
70#2830C2214yes—
71#2829C2214yes—
72#2828C2214yes—
73#2827C2214yes—
74#2826C2214yes—
75#2825C2214yes—
76#2825C2214yes—
77#2825C2214yes—
78#2825C2214yes—
79#2824C2214yes—
80#2818C2214yes—
81#2813C2214yes—
82#2807C2214yes—
83#2803C2214yes—
84#2801C2214yes—
85#2797C2214yes—
86#2796C2214yes—
87#2792C2214yes—
88#2790C2214yes—
89#2784C2214yes—
90#2780C2214yes—
91#2778C2214yes—
92#2778C2214yes—
93#2778C2214yes—
94#2778C2214yes—
95#2760C2214yes—
96#2757C2214yes—
97#2757C2214yes—
98#2757C2214yes—
99#2757C2214yes—
100#2756C2214yes—
101#2756C2214yes—
102#2756C2214yes—
103#2749C2214yes—
104#2749C2214yes—
105#2749C2214yes—
106#2748C2214yes—
107#2746C2214yes—
108#2746C2214yes—
109#2746C2214yes—
110#2742C2214yes—
111#2737C2214yes—
112#2737C2214yes—
113#2737C2214yes—
114#2737C2214yes—
115#2709C2214yes—
116#2705C2214yes—
117#2703C2214yes—
118#2693C2214yes—
119#2691C2214yes—
120#2688C2214yes—
121#2673C2214yes—
122#2656C2214yes—
123#2643C2214yes—
124#2625C2212yes—
125#2624C2212yes—
126#2621C2212yes—
127#2621C2212yes—
128#2621C2212yes—
129#2620C2212yes—
130#2620C2212yes—
131#2619C2212yes—
132#2548C2211yescharacteristic
133#2547C2212yes—
134#2547C2211yescharacteristic
135#2546C2211yescharacteristic
136#2546C2212yes—
137#2545C2211yescharacteristic
138#2545C2212yes—
139#2545C2211yescharacteristic
140#2544C2212yes—
141#2544C2211yescharacteristic
142#2544C2211yescharacteristic
143#2543C2214yes—
144#2543C2214yes—
145#2543C2212yes—
146#2543C2214yes—
147#2543C2212yes—
148#2542C2212yes—
149#2542C2212yes—
150#2541C2212yes—
151#2541C2211yescharacteristic
152#2541C2212yes—
153#2540C2212yes—
154#2540C2212yes—
155#2540C2212yes—
156#2540C2212yes—
157#2536C2212yes—
158#2536C2212yes—
159#2535C2212yes—
160#2535C2212yes—
161#2514C2212yes—
162#2514C2212yes—
163#2514C2212yes—
164#2514C2212yes—
165#2514C2212yes—
166#2514C2212yes—
167#2514C2212yes—
168#2514C2212yes—
169#2514C2212yes—
170#2513C2212yes—
171#2512C2212yes—
172#2511C2212yes—
173#2504C2212yes—
174#2503C2212yes—
175#2500C2212yes—
176#2499C2212yes—
177#2497C2212yes—
178#2496C2212yes—
179#2495C2212yes—
180#2494C2212yes—
181#2448C2211yescharacteristic
182#2448C2211yescharacteristic
183#2447C2211yescharacteristic
184#2447C2211yescharacteristic
185#2446C2211yescharacteristic
186#2446C2211yescharacteristic
187#2445C2211yescharacteristic
188#2445C2211yescharacteristic
189#2444C2212yes—
190#2444C2214yes—
191#2444C2214yes—
192#2444C2214yes—
193#2444C2212yes—
194#2443C2212yes—
195#2443C2214yes—
196#2443C2212yes—
197#2436C2212yes—
198#2436C2212yes—
199#2436C2212yes—
200#2434C2212yes—
201#2434C2212yes—
202#2434C2212yes—
203#2432C2212yes—
204#2432C2212yes—
205#2432C2212yes—
206#2431C2212yes—
207#2431C2212yes—
208#2431C2212yes—
209#2430C2214yes—
210#2430C2214yes—
211#2430C2214yes—
212#2430C2214yes—
213#2430C2214yes—
214#2430C2214yes—
215#2429C2212yes—
216#2429C2212yes—
217#2429C2212yes—
218#2429C2212yes—
219#2429C2212yes—
220#2428C2212yes—
221#2427C2212yes—
222#2427C2212yes—
223#2427C2212yes—
224#2427C2212yes—
225#2427C2212yes—
226#2426C2212yes—
227#2425C2214yes—
228#2425C2214yes—
229#2425C2214yes—
230#2425C2214yes—
231#2425C2214yes—
232#2425C2214yes—
233#2423C2212yes—
234#2422C2212yes—
235#2421C2212yes—
236#2421C2212yes—
237#2421C2212yes—
238#2420C2212yes—
239#2420C2212yes—
240#2420C2212yes—
241#2417C2212yes—
242#2417C2212yes—
243#2417C2212yes—
244#2416C2212yes—
245#2416C2212yes—
246#2416C2214yes—
247#2416C2212yes—
248#2415C2212yes—
249#2415C2212yes—
250#2415C2212yes—
251#2414C2212yes—
252#2409C2212yes—
253#2409C2212yes—
254#2409C2212yes—
255#2409C2212yes—
256#2409C2212yes—
257#2409C2212yes—
258#2407C2212yes—
259#2407C2212yes—
260#2407C2212yes—
261#2407C2212yes—
262#2407C2212yes—
263#2407C2212yes—
264C2×#401C2212yes—
265#2395C2212yes—
266#2395C2212yes—
267C2×#400C2212yes—
268#2392C2212yes—
269#2392C2212yes—
270#2383C2214yes—
271#2380C2214yes—
272#2377C2214yes—
273#2376C2214yes—
274#2317C2211yescharacteristic
275#2317C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280C4×#123C2212yes—
281C4×#123C2212yes—
282C4×#121C2212yes—
283C4×#121C2212yes—
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289#2296C2211yescharacteristic
290C2×#391C2211yescharacteristic
291C2×#391C2211yescharacteristic
292C2×#391C2211yescharacteristic
293C2×#389C2211yescharacteristic
294C2×#387C2212yes—
295C2×#383C2212yes—
296C2×#382C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×2−1+4—44no—
300C2×2−1+4—44no—
301C2×2−1+4—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2311yescharacteristic
307C22×#41C2312yes—
308C22×#41C2312yes—
309C22×#41C2314yes—
310C23×Q8C2311yescharacteristic
311C23×Q8C2312yes—
312C23×Q8C2312yes—
313#537—44no—
314#537—44no—
315#537—44no—
316#537—44no—
317#537—44no—
318#536—44no—
319#536—44no—
320#536—44no—
321#532—44no—
322#532—44no—
323#532—44no—
324#532—44no—
325C2×C4⋊Q8C2312yes—
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2311yescharacteristic
328C2×C4⋊Q8C2311yescharacteristic
329C2×C4⋊Q8C2311yescharacteristic
330C2×C4⋊Q8C2311yescharacteristic
331C2×C4⋊Q8C2312yes—
332C2×#127C2314yes—
333C2×#127C2311yescharacteristic
334C2×#127C2311yescharacteristic
335C2×#127C2311yescharacteristic
336C2×#127C2311yescharacteristic
337C2×#126C2314yes—
338C2×#124C2311yescharacteristic
339C2×#124C2311yescharacteristic
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2311yescharacteristic
343C2×#124C2311yescharacteristic
344C2×#124C2311yescharacteristic
345C2×#124C2311yescharacteristic
346C2×#124C2311yescharacteristic
347C2×#124C2311yescharacteristic
348C2×#124C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397#520—44no—
398C4×#41—44no—
399C4×#41—44no—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2311yescharacteristic
404C2×C4×Q8C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2314yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C22×C4⋊C4C2311yescharacteristic
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2311yescharacteristic
432C22×C4⋊C4C2311yescharacteristic
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2312yes—
440C22×C42C2312yes—
441C22×C42C2312yes—
442#401C2314yes—
443#401C2314yes—
444#401C2314yes—
445#401C2314yes—
446#401C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2312yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2312yes—
458#400C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2312yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2312yes—
466#398C2312yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2312yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2312yes—
478#398C2314yes—
479#398C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2312yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2312yes—
502#397C2312yes—
503#397C2314yes—
504#397C2312yes—
505#397C2312yes—
506#397C2312yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2312yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2312yes—
516#396C2312yes—
517#396C2314yes—
518#396C2314yes—
519#396C2312yes—
520#395C2314yes—
521#395C2314yes—
522#395C2314yes—
523#395C2314yes—
524#395C2314yes—
525#395C2314yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2312yes—
537#394C2312yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2312yes—
546#394C2312yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2312yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2312yes—
556#394C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#392C2312yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2312yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2311yescharacteristic
585#391C2311yescharacteristic
586#391C2311yescharacteristic
587#391C2312yes—
588#391C2312yes—
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2311yescharacteristic
597#391C2311yescharacteristic
598#391C2311yescharacteristic
599#391C2311yescharacteristic
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#390C2311yescharacteristic
612#390C2311yescharacteristic
613#390C2311yescharacteristic
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#390C2314yes—
618#390C2311yescharacteristic
619#390C2311yescharacteristic
620#390C2311yescharacteristic
621#390C2312yes—
622#390C2311yescharacteristic
623#390C2311yescharacteristic
624#390C2311yescharacteristic
625#390C2311yescharacteristic
626#390C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2314yes—
632#389C2312yes—
633#389C2314yes—
634#389C2314yes—
635#389C2314yes—
636#389C2312yes—
637#389C2314yes—
638#389C2312yes—
639#389C2314yes—
640#389C2314yes—
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2314yes—
686#387C2314yes—
687#387C2312yes—
688#387C2312yes—
689#387C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#386C2312yes—
737#385C2312yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2312yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2312yes—
756#384C2312yes—
757#384C2312yes—
758#384C2314yes—
759#383C2314yes—
760#383C2314yes—
761#383C2314yes—
762#383C2314yes—
763#383C2314yes—
764#382C2312yes—
765#382C2312yes—
766#382C2312yes—
767#382C2312yes—
768#382C2312yes—
769#382C2312yes—
770#381C2314yes—
771#381C2314yes—
772#381C2314yes—
773#381C2312yes—
774#381C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2314yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#380C2314yes—
789#380C2312yes—
790#380C2314yes—
791#380C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2311yescharacteristic
822C2×#95C2312yes—
823C2×#95C2312yes—
824C2×#95C2312yes—
825C2×#95C2312yes—
826C2×#95C2312yes—
827C2×#95C2311yescharacteristic
8282−1+4—464no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—24no—
842C2×#41—24no—
843C2×#41—24no—
844C2×#41—48no—
845C2×#41—48no—
846C2×#41—48no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—44no—
850C2×#41—44no—
851C2×#41—44no—
852C2×#41—44no—
853C22×Q8—24no—
854C22×Q8—24no—
855C22×Q8—24no—
856C22×Q8—44no—
857C22×Q8—44no—
858C22×Q8—44no—
859C22×Q8—44no—
860C22×Q8—44no—
861C22×Q8—44no—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2414yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2411yescharacteristic
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2414yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2411yescharacteristic
917C4⋊Q8—42no—
918C4⋊Q8—42no—
919C4⋊Q8—42no—
920C4⋊Q8—42no—
921C4⋊Q8—44no—
922C4⋊Q8—44no—
923C4⋊Q8—44no—
924#127—48no—
925#127—42no—
926#127—42no—
927#127—42no—
928#127—42no—
929#126—48no—
930#124—42no—
931#124—42no—
932#124—42no—
933#124—42no—
934#124—42no—
935#124—42no—
936#124—42no—
937#124—42no—
938#124—44no—
939#124—44no—
940#124—44no—
941#123—44no—
942#123—48no—
943#123—48no—
944#123—48no—
945#123—48no—
946#123—44no—
947C22⋊Q8—44no—
948C22⋊Q8—44no—
949C22⋊Q8—44no—
950C22⋊Q8—44no—
951C22⋊Q8—44no—
952C22⋊Q8—44no—
953C22⋊Q8—44no—
954C22⋊Q8—44no—
955C22⋊Q8—44no—
956C22⋊Q8—44no—
957C22⋊Q8—44no—
958C22⋊Q8—44no—
959C22⋊Q8—44no—
960C22⋊Q8—44no—
961C22⋊Q8—44no—
962C22⋊Q8—44no—
963#121—48no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—44no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—44no—
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—44no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—48no—
985#121—48no—
986#121—48no—
987#121—48no—
988#121—48no—
989C4×Q8—42no—
990C4×Q8—42no—
991C4×Q8—42no—
992C4×Q8—42no—
993C4×Q8—44no—
994C4×D4—42no—
995C4×D4—42no—
996C4×D4—42no—
997C4×D4—42no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—48no—
1012#117—24no—
1013#117—24no—
1014#117—24no—
1015#117—44no—
1016#117—44no—
1017#117—44no—
1018C2×C4⋊C4—24no—
1019C2×C4⋊C4—24no—
1020C2×C4⋊C4—24no—
1021C2×C4⋊C4—42no—
1022C2×C4⋊C4—42no—
1023C2×C4⋊C4—44no—
1024C2×C4⋊C4—44no—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C42—24no—
1148C2×C42—24no—
1149C2×C42—24no—
1150C2×C42—44no—
1151C2×C42—44no—
1152C2×C42—44no—
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2414yes—
1169C2×C42C2414yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2414yes—
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2414yes—
1183#95C2411yescharacteristic
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239C24C2512yes—
1240C24C2512yes—
1241C24C2512yes—
1242C24C2512yes—
1243C24C2512yes—
1244C24C2511yescharacteristic
1245#41—464no—
1246#41—432no—
1247#41—432no—
1248#41—416no—
1249#41—416no—
1250#41—416no—
1251#41—416no—
1252#41—416no—
1253C2×Q8—22no—
1254C2×Q8—22no—
1255C2×Q8—22no—
1256C2×Q8—22no—
1257C2×Q8—22no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—24no—
1261C2×Q8—24no—
1262C2×Q8—24no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—22no—
1266C2×Q8—22no—
1267C2×Q8—22no—
1268C2×Q8—24no—
1269C2×Q8—24no—
1270C2×Q8—24no—
1271C2×Q8—22no—
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—44no—
1275C2×Q8—44no—
1276C2×Q8—44no—
1277C2×Q8—432no—
1278C2×Q8—432no—
1279C2×Q8—416no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
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—24no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—42no—
1399C22×C4—41no—
1400C22×C4—42no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—42no—
1413C22×C4—41no—
1414C22×C4—42no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4H(5,𝔽2)14yes—
1419C22×C4H(5,𝔽2)14yes—
1420C22×C4H(5,𝔽2)14yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2514yes—
1430C22×C4C2514yes—
1431C22×C4C2512yes—
1432C22×C4C2514yes—
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2514yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—28no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—24no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—44no—
1472C4⋊C4—41no—
1473C4⋊C4—44no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—44no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—24no—
1585C42—24no—
1586C42—24no—
1587C42—28no—
1588C42—44no—
1589C42—42no—
1590C42—42no—
1591C42—42no—
1592C42—42no—
1593C42—44no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23C2×H(5,𝔽2)12yes—
1634C23C2×H(5,𝔽2)12yes—
1635C23C2×H(5,𝔽2)12yes—
1636C23C2611yescharacteristic
1637Q8—416no—
1638Q8—48no—
1639Q8—44no—
1640Q8—48no—
1641Q8—44no—
1642Q8—44no—
1643Q8—44no—
1644Q8—44no—
1645D4—416no—
1646D4—48no—
1647D4—48no—
1648D4—48no—
1649D4—48no—
1650D4—48no—
1651D4—44no—
1652D4—44no—
1653D4—44no—
1654D4—44no—
1655D4—44no—
1656D4—84no—
1657D4—84no—
1658D4—84no—
1659D4—84no—
1660D4—84no—
1661D4—84no—
1662D4—84no—
1663D4—84no—
1664D4—164no—
1665D4—164no—
1666D4—164no—
1667D4—164no—
1668D4—164no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—24no—
1710C2×C4—24no—
1711C2×C4—24no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—24no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—24no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—24no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—24no—
1747C2×C4—21no—
1748C2×C4—44no—
1749C2×C4—44no—
1750C2×C4—416no—
1751C2×C4—416no—
1752C2×C4—48no—
1753C2×C4—48no—
1754C2×C4—48no—
1755C2×C4—48no—
1756C2×C4—48no—
1757C2×C4—48no—
1758C2×C4—84no—
1759C2×C4—84no—
1760C2×C4—82no—
1761C2×C4—82no—
1762C2×C4—84no—
1763C2×C4—84no—
1764C2×C4—82no—
1765C2×C4—82no—
1766C2×C4—84no—
1767C2×C4—84no—
1768C2×C4—84no—
1769C2×C4—164no—
1770C2×C4#560116yes—
1771C2×C4C2×H(5,𝔽2)12yes—
1772C2×C4C2×H(5,𝔽2)12yes—
1773C2×C4C2×H(5,𝔽2)12yes—
1774C2×C4C2×H(5,𝔽2)12yes—
1775C2×C4C2×H(5,𝔽2)12yes—
1776C2×C4C2×H(5,𝔽2)12yes—
1777C2×C4#58512yes—
1778C2×C4#58512yes—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22C2×#56014yes—
1821C22C22×H(5,𝔽2)11yescharacteristic
1822C22C22×H(5,𝔽2)11yescharacteristic
1823C22C22×H(5,𝔽2)11yescharacteristic
1824C22C2×#58511yescharacteristic
1825C22C2×#58511yescharacteristic
1826C222−1+611yescharacteristic
1827C222−1+611yescharacteristic
1828C4—22no—
1829C4—22no—
1830C4—41no—
1831C4—42no—
1832C4—44no—
1833C4—42no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—42no—
1838C4—41no—
1839C4—41no—
1840C4—42no—
1841C4—44no—
1842C4—44no—
1843C4—42no—
1844C4—42no—
1845C4—42no—
1846C4—44no—
1847C4—42no—
1848C4—42no—
1849C4—42no—
1850C4—42no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4C2×#56014yes—
1856C4C2×#56014yes—
1857C2—24no—
1858C2—82no—
1859C2—82no—
1860C2—82no—
1861C2—82no—
1862C2—82no—
1863C2C22×#56011yescharacteristic
1864C2#6283011yescharacteristic
1865C2#6288811yescharacteristic
1866C2#6292711yescharacteristic
1867C2#6293111yescharacteristic
1868C2#6293111yescharacteristic
1869C2#6296011yescharacteristic
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. #53152C2semidirect
2. #53151C2semidirect
3. #53073C2semidirect
4. #53063C2semidirect
5. #53059C2semidirect
6. #53022C2semidirect
7. #53011C2semidirect
8. #53008C2semidirect
9. #52765C2semidirect
10. #52529C2semidirect
11. #46040C2semidirect
12. #45982C2semidirect
13. #45708C2semidirect
14. #45687C2semidirect
15. #45683C2semidirect
16. #45677C2semidirect
17. #45669C2semidirect
18. #45628C2semidirect
19. #45593C2semidirect
20. #45515C2semidirect
21. #35660C2semidirect
22. #35660C2semidirect
23. #35660C2semidirect
24. #35621C2semidirect
25. #35618C2semidirect
26. #35564C2semidirect
27. #35328C2semidirect
28. #35308C2semidirect
29. #35308C2semidirect
30. #35255C2semidirect
31. #35166C2semidirect
32. #35160C2semidirect
33. #34937C2semidirect
34. C2×#2514C2semidirect
35. #34744C2semidirect

Maximal subgroups

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

subgroupindex
#531522
#531512
#530732
#530632
#530592
#530222
#530112
#530082
#527652
#525292
#460402
#459822
#457082
#456872
#456832
#456772
#456692
#456282
#455932
#455152
#356602
#356212
#356182
#355642
#353282
#353082
#352552
#351662
#351602
#349372
C2×#25142
#347442