Finite Group Databasebeta

← #8458717

Subgroups — #8458717

Order 512.

4550 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59660C211yesmaximal, characteristic, complemented
2#59262C211yesmaximal, characteristic, complemented
3#59212C211yesmaximal, characteristic, complemented
4#57867C214yesmaximal, complemented
5#57231C214yesmaximal, complemented
6#53960C214yesmaximal, complemented
7#53149C212yesmaximal, complemented
8#52978C212yesmaximal, complemented
9#48967C214yesmaximal, complemented
10#46190C212yesmaximal, complemented
11#45646C212yesmaximal, complemented
12#45228C212yesmaximal, complemented
13#44944C212yesmaximal, complemented
14#42745C212yesmaximal, complemented
15#42741C212yesmaximal, complemented
16#42557C212yesmaximal, complemented
17#42539C212yesmaximal, complemented
18#39598C211yesmaximal, characteristic, complemented
19#39477C212yesmaximal, complemented
20#39194C211yesmaximal, characteristic, complemented
21#39187C212yesmaximal, complemented
22#39126C211yesmaximal, characteristic, complemented
23#39024C212yesmaximal, complemented
24#38921C211yesmaximal, characteristic, complemented
25#37852C212yesmaximal, complemented
26#37622C211yesmaximal, characteristic, complemented
27#37380C212yesmaximal, complemented
28#37355C212yesmaximal, complemented
29#36555C211yesmaximal, characteristic, complemented
30#36210C211yesmaximal, characteristic, complemented
31#36154C211yesmaximal, characteristic, complemented
32#35236C211yesmaximal, characteristic, complemented
33#35185C211yesmaximal, characteristic, complemented
34#34919C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2211yescharacteristic, complemented
38C2×#533C2211yescharacteristic, complemented
39C2×#529C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42#2864C2212yescomplemented
43#2864C2212yescomplemented
44#2860C2212yes—
45#2859C2211yescharacteristic, complemented
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic, complemented
48#2848C2212yes—
49#2848C2212yes—
50#2847C2212yes—
51#2839C2214yescomplemented
52#2838C2214yescomplemented
53#2837C2214yescomplemented
54#2836C2214yescomplemented
55#2833C2214yescomplemented
56#2827C2214yes—
57#2826C2214yes—
58#2814C2214yescomplemented
59#2801C2214yescomplemented
60#2800C2214yescomplemented
61#2797C2214yescomplemented
62#2797C2214yescomplemented
63#2796C2214yescomplemented
64#2795C2214yescomplemented
65#2787C2214yes—
66#2787C2214yes—
67#2787C2214yescomplemented
68#2787C2214yescomplemented
69#2786C2214yescomplemented
70#2783C2214yescomplemented
71#2781C2214yescomplemented
72#2780C2214yescomplemented
73#2780C2214yescomplemented
74#2779C2214yes—
75#2778C2214yescomplemented
76#2770C2214yescomplemented
77#2769C2214yescomplemented
78#2769C2214yescomplemented
79#2768C2214yes—
80#2768C2214yescomplemented
81#2765C2214yescomplemented
82#2765C2214yescomplemented
83#2756C2214yes—
84#2756C2214yes—
85#2749C2214yes—
86#2746C2214yescomplemented
87#2741C2214yes—
88#2738C2214yescomplemented
89#2738C2214yescomplemented
90#2737C2214yescomplemented
91#2735C2214yes—
92#2735C2214yes—
93#2728C2214yescomplemented
94#2721C2214yescomplemented
95#2720C2214yescomplemented
96#2717C2214yes—
97#2711C2214yescomplemented
98#2704C2214yescomplemented
99#2702C2214yes—
100#2702C2214yescomplemented
101#2698C2214yescomplemented
102#2691C2214yescomplemented
103#2685C2214yes—
104#2683C2214yescomplemented
105#2681C2214yescomplemented
106#2680C2214yes—
107#2678C2214yes—
108#2664C2214yescomplemented
109#2651C2214yescomplemented
110#2650C2214yescomplemented
111#2648C2214yes—
112#2644C2214yescomplemented
113#2636C2214yes—
114#2635C2214yes—
115#2629C2212yescomplemented
116#2629C2212yescomplemented
117#2628C2212yescomplemented
118#2625C2212yescomplemented
119#2625C2212yescomplemented
120#2624C2212yes—
121#2624C2212yescomplemented
122#2622C2214yes—
123#2621C2212yescomplemented
124#2611C2214yes—
125#2595C2214yescomplemented
126#2592C2212yes—
127#2587C2214yescomplemented
128#2584C2212yescomplemented
129#2584C2212yescomplemented
130#2582C2211yescharacteristic, complemented
131#2582C2211yescharacteristic, complemented
132#2571C2211yescharacteristic, complemented
133#2567C2211yescharacteristic, complemented
134#2564C2214yescomplemented
135#2563C2211yescharacteristic
136#2562C2212yes—
137#2562C2212yes—
138#2562C2212yescomplemented
139#2560C2212yescomplemented
140#2558C2212yes—
141#2552C2212yescomplemented
142#2550C2211yescharacteristic, complemented
143#2545C2211yescharacteristic, complemented
144#2540C2212yes—
145#2540C2211yescharacteristic
146#2538C2211yescharacteristic
147#2538C2212yes—
148#2538C2211yescharacteristic
149#2538C2211yescharacteristic
150#2538C2212yescomplemented
151#2537C2211yescharacteristic
152#2537C2211yescharacteristic
153#2537C2212yescomplemented
154#2536C2211yescharacteristic
155#2536C2214yescomplemented
156#2536C2212yescomplemented
157#2535C2212yes—
158#2531C2214yescomplemented
159#2531C2214yescomplemented
160#2529C2214yescomplemented
161#2522C2214yescomplemented
162#2519C2212yescomplemented
163#2518C2214yes—
164#2514C2212yescomplemented
165#2513C2212yes—
166#2510C2214yescomplemented
167#2510C2214yescomplemented
168#2509C2212yescomplemented
169#2509C2212yescomplemented
170#2506C2212yescomplemented
171#2506C2212yescomplemented
172#2505C2214yescomplemented
173#2504C2212yescomplemented
174#2500C2212yes—
175#2497C2214yescomplemented
176#2497C2212yescomplemented
177#2496C2212yescomplemented
178#2495C2212yes—
179#2495C2212yes—
180#2495C2212yes—
181#2494C2212yes—
182#2494C2212yescomplemented
183#2494C2212yescomplemented
184#2494C2212yescomplemented
185#2494C2212yescomplemented
186#2494C2212yescomplemented
187#2491C2211yescharacteristic
188#2490C2212yes—
189#2489C2212yes—
190#2489C2212yescomplemented
191#2489C2212yescomplemented
192#2489C2211yescharacteristic, complemented
193#2487C2212yes—
194#2487C2212yes—
195#2486C2212yes—
196#2485C2212yes—
197#2485C2212yescomplemented
198#2480C2212yes—
199#2472C2214yes—
200#2469C2214yescomplemented
201#2468C2212yes—
202#2461C2212yes—
203#2457C2212yes—
204#2454C2212yes—
205#2454C2212yes—
206#2454C2211yescharacteristic
207#2454C2214yescomplemented
208#2453C2212yescomplemented
209#2450C2214yes—
210#2447C2211yescharacteristic
211#2447C2212yescomplemented
212#2442C2212yes—
213#2442C2211yescharacteristic
214#2442C2212yescomplemented
215#2442C2212yescomplemented
216#2442C2212yescomplemented
217#2441C2212yescomplemented
218#2440C2212yescomplemented
219#2437C2214yes—
220#2435C2211yescharacteristic
221#2429C2211yescharacteristic
222#2429C2212yescomplemented
223#2427C2212yes—
224#2427C2211yescharacteristic
225#2427C2212yescomplemented
226#2426C2212yes—
227#2426C2212yescomplemented
228#2426C2211yescharacteristic, complemented
229#2423C2212yes—
230#2423C2212yes—
231#2423C2212yescomplemented
232#2422C2212yes—
233#2421C2212yescomplemented
234#2421C2212yescomplemented
235#2420C2211yescharacteristic
236#2418C2214yes—
237#2418C2212yes—
238#2417C2212yes—
239#2417C2211yescharacteristic
240#2417C2212yescomplemented
241#2416C2212yes—
242#2415C2212yes—
243#2415C2212yes—
244#2415C2212yescomplemented
245#2415C2212yescomplemented
246#2414C2212yescomplemented
247#2411C2214yes—
248#2408C2211yescharacteristic
249#2408C2212yes—
250#2396C2212yescomplemented
251#2395C2212yes—
252#2392C2212yes—
253#2392C2212yes—
254#2376C2214yes—
255#2370C2212yescomplemented
256#2363C2212yes—
257#2362C2212yes—
258#2361C2212yes—
259#2361C2212yescomplemented
260#2360C2212yescomplemented
261#2356C2212yescomplemented
262#2356C2212yescomplemented
263#2354C2211yescharacteristic, complemented
264#2352C2212yescomplemented
265Q8×C4⋊C4C2211yescharacteristic, complemented
266Q8×C4⋊C4C2211yescharacteristic, complemented
267#2349C2212yes—
268D4×C4⋊C4C2211yescharacteristic
269#2347C2212yescomplemented
270#2345C2212yescomplemented
271D4×C22⋊C4C2212yes—
272#2324C2212yes—
273#2324C2212yes—
274#2324C2212yes—
275#2324C2212yescomplemented
276#2323C2212yescomplemented
277#2323C2212yescomplemented
278#2317C2212yescomplemented
279#2314C2212yescomplemented
280#2312C2214yes—
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×#124C2211yescharacteristic
283C4×#124C2212yes—
284C4×#124C2212yes—
285C4×#124C2211yescharacteristic, complemented
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2212yes—
291#2293C2211yescharacteristic
292#2293C2212yescomplemented
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic, complemented
295#2280C2212yes—
296C2×#380C2212yes—
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#554—44no—
302#554—44no—
303#533—44no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307#529—44no—
308#529—44no—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#124C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#123C2314yes—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2314yes—
353C2×#120C2312yes—
354C2×#120C2314yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×D4—44no—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2314yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2312yes—
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398#401C2314yes—
399#401C2314yes—
400#401C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2312yes—
425#399C2312yes—
426#398C2312yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2312yes—
446#398C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2312yes—
483#396C2314yes—
484#396C2312yes—
485#396C2312yes—
486#396C2314yes—
487#396C2312yes—
488#396C2314yes—
489#396C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2312yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2312yes—
511#394C2312yes—
512#394C2312yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#393C2312yes—
518#393C2314yes—
519#393C2314yes—
520#392C2312yes—
521#392C2312yes—
522#392C2314yes—
523#392C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#391C2311yescharacteristic
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2311yescharacteristic
545#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2311yescharacteristic
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2314yes—
555#390C2311yescharacteristic
556#390C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2312yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2312yes—
704#385C2314yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#384C2311yescharacteristic
709#384C2312yes—
710#384C2314yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2312yes—
715#383C2314yes—
716#383C2314yes—
717#383C2314yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2314yes—
722#382C2312yes—
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2312yes—
726#382C2311yescharacteristic
727#382C2314yes—
728#382C2312yes—
729#381C2314yes—
730#381C2312yes—
731#381C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2314yes—
758#380C2314yes—
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2314yes—
766#380C2311yescharacteristic
767#379C2312yes—
768#379C2314yes—
769#379C2314yes—
770#379C2312yes—
771#379C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812#376C2314yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C25C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×D4—24no—
823C22×D4—42no—
824C22×D4—42no—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C23×C4—44no—
837C23×C4—44no—
838C23×C4—44no—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C4⋊Q8—24no—
855C4⋊Q8—42no—
856C4⋊Q8—42no—
857#126—44no—
858#126—44no—
859#126—84no—
860#125—44no—
861#125—42no—
862#125—42no—
863#125—44no—
864#125—44no—
865#125—44no—
866#125—84no—
867#124—24no—
868#124—42no—
869#124—42no—
870#124—42no—
871#124—44no—
872#123—48no—
873#123—44no—
874#123—44no—
875C22⋊Q8—44no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—42no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—42no—
884C22⋊Q8—42no—
885C22⋊Q8—42no—
886C22⋊Q8—42no—
887C22⋊Q8—42no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—84no—
891C22⋊Q8—82no—
892#121—24no—
893#121—28no—
894#121—44no—
895#121—44no—
896#121—42no—
897#121—44no—
898#121—42no—
899#121—42no—
900#121—84no—
901#120—44no—
902#120—84no—
903C4×Q8—24no—
904C4×Q8—24no—
905C4×Q8—24no—
906C4×Q8—44no—
907C4×Q8—42no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—42no—
911C4×Q8—82no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—44no—
916C4×D4—42no—
917C4×D4—42no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—42no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—42no—
929C4×D4—84no—
930#117—44no—
931#117—44no—
932#117—44no—
933#117—44no—
934#117—44no—
935#117—44no—
936#117—82no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4—42no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C22⋊C4—44no—
1013C2×C22⋊C4—48no—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C42—24no—
1081C2×C42—24no—
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176C24—24no—
1177C24—24no—
1178C24—42no—
1179C24—42no—
1180C24—42no—
1181C24—42no—
1182C24—42no—
1183C24C2512yes—
1184C24C2512yes—
1185C24C2511yescharacteristic
1186C24C2512yes—
1187C24C2511yescharacteristic
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—28no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—42no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—416no—
1236C2×D42−1+414yes—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—41no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—816no—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2514yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—41no—
1350C4⋊C4—42no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—22no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—44no—
1419C22⋊C4—41no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
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—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—24no—
1457C42—24no—
1458C42—24no—
1459C42—22no—
1460C42—22no—
1461C42—24no—
1462C42—24no—
1463C42—22no—
1464C42—22no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42—41no—
1469C42—44no—
1470C42—42no—
1471C42—42no—
1472C42—44no—
1473C42—44no—
1474C42—41no—
1475C42—42no—
1476C42—42no—
1477C42H(5,𝔽2)14yes—
1478C23—22no—
1479C23—21no—
1480C23—21no—
1481C23—22no—
1482C23—21no—
1483C23—21no—
1484C23—22no—
1485C23—21no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—21no—
1490C23—22no—
1491C23—22no—
1492C23—21no—
1493C23—21no—
1494C23—22no—
1495C23—22no—
1496C23—21no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—21no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—21no—
1506C23—22no—
1507C23—21no—
1508C23—22no—
1509C23—21no—
1510C23—22no—
1511C23—48no—
1512C23—48no—
1513C23—84no—
1514C23—84no—
1515C23—84no—
1516C23—84no—
1517C23—84no—
1518C23C2×2−1+414yes—
1519C23#58512yes—
1520C23C2611yescharacteristic
1521Q8—44no—
1522Q8—44no—
1523Q8—44no—
1524Q8—84no—
1525Q8—84no—
1526D4—28no—
1527D4—44no—
1528D4—48no—
1529D4—44no—
1530D4—44no—
1531D4—84no—
1532D4—88no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536D4—164no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—48no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—48no—
1626C2×C4—48no—
1627C2×C4—44no—
1628C2×C4—82no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—84no—
1632C2×C4—164no—
1633C2×C4—164no—
1634C2×C4—164no—
1635C2×C4C2×H(5,𝔽2)12yes—
1636C2×C4C2×H(5,𝔽2)12yes—
1637C2×C4C2×H(5,𝔽2)12yes—
1638C2×C4C2×2−1+412yes—
1639C2×C4#58512yes—
1640C2×C4#58512yes—
1641C2×C4#58512yes—
1642C22—24no—
1643C22—24no—
1644C22—22no—
1645C22—22no—
1646C22—24no—
1647C22—22no—
1648C22—41no—
1649C22—41no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—41no—
1654C22—41no—
1655C22—42no—
1656C22—42no—
1657C22—41no—
1658C22—42no—
1659C22—42no—
1660C22—41no—
1661C22—42no—
1662C22—41no—
1663C22—42no—
1664C22—42no—
1665C22—41no—
1666C22—42no—
1667C22—42no—
1668C22—41no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—41no—
1673C22—42no—
1674C22—41no—
1675C22—42no—
1676C22—42no—
1677C22—816no—
1678C22C22×H(5,𝔽2)11yescharacteristic
1679C22C22×2−1+411yescharacteristic
1680C22C2×#58511yescharacteristic
1681C22C2×#58511yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22H(7,𝔽2)11yescharacteristic
1685C4—22no—
1686C4—41no—
1687C4—42no—
1688C4—41no—
1689C4—42no—
1690C4—41no—
1691C4—42no—
1692C4—42no—
1693C4—41no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4—42no—
1698C4—44no—
1699C4—42no—
1700C4—41no—
1701C4—42no—
1702C4—41no—
1703C4—42no—
1704C4—44no—
1705C4—41no—
1706C4—44no—
1707C4—41no—
1708C4—41no—
1709C4—42no—
1710C4—42no—
1711C4—44no—
1712C4—42no—
1713C4#354114yes—
1714C4#355114yes—
1715C2—44no—
1716C2—42no—
1717C2—81no—
1718C2—82no—
1719C2—82no—
1720C2C2×#354111yescharacteristic
1721C2C2×#355111yescharacteristic
1722C2#6282711yescharacteristic
1723C2#6293711yescharacteristic
1724C2#6295111yescharacteristic
1725C2#6295711yescharacteristic
1726C2#6302311yescharacteristic
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. #59660C2semidirect
2. #59262C2semidirect
3. #59212C2semidirect
4. #57867C2semidirect
5. #57231C2semidirect
6. #53960C2semidirect
7. #53149C2semidirect
8. #52978C2semidirect
9. #48967C2semidirect
10. #46190C2semidirect
11. #45646C2semidirect
12. #45228C2semidirect
13. #44944C2semidirect
14. #42745C2semidirect
15. #42741C2semidirect
16. #42557C2semidirect
17. #42539C2semidirect
18. #39598C2semidirect
19. #39477C2semidirect
20. #39194C2semidirect
21. #39187C2semidirect
22. #39126C2semidirect
23. #39024C2semidirect
24. #38921C2semidirect
25. #37852C2semidirect
26. #37622C2semidirect
27. #37380C2semidirect
28. #37355C2semidirect
29. #36555C2semidirect
30. #36210C2semidirect
31. #36154C2semidirect
32. #35236C2semidirect
33. #35185C2semidirect
34. #34919C2semidirect
35. #34700C2semidirect
37. C2×#554C22semidirect
38. C2×#533C22semidirect
42. #2864C22semidirect
43. #2864C22semidirect
45. #2859C22semidirect
47. #2857C22semidirect
51. #2839C22semidirect
52. #2838C22semidirect
53. #2837C22semidirect
54. #2836C22semidirect
55. #2833C22semidirect
58. #2814C22semidirect
59. #2801C22semidirect
60. #2800C22semidirect
61. #2797C22semidirect
62. #2797C22semidirect
63. #2796C22semidirect
64. #2795C22semidirect
67. #2787C22semidirect
68. #2787C22semidirect
69. #2786C22semidirect
70. #2783C22semidirect
71. #2781C22semidirect
72. #2780C22semidirect
73. #2780C22semidirect
75. #2778C22semidirect
76. #2770C22semidirect
77. #2769C22semidirect
78. #2769C22semidirect
80. #2768C22semidirect
81. #2765C22semidirect
82. #2765C22semidirect
86. #2746C22semidirect
88. #2738C22semidirect
89. #2738C22semidirect
90. #2737C22semidirect
93. #2728C22semidirect
94. #2721C22semidirect
95. #2720C22semidirect
97. #2711C22semidirect
98. #2704C22semidirect
100. #2702C22semidirect
101. #2698C22semidirect
102. #2691C22semidirect
104. #2683C22semidirect
105. #2681C22semidirect
108. #2664C22semidirect
109. #2651C22semidirect
110. #2650C22semidirect
112. #2644C22semidirect
115. #2629C22semidirect
116. #2629C22semidirect
117. #2628C22semidirect
118. #2625C22semidirect
119. #2625C22semidirect
121. #2624C22semidirect
123. #2621C22semidirect
125. #2595C22semidirect
127. #2587C22semidirect
128. #2584C22semidirect
129. #2584C22semidirect
130. #2582C22semidirect
131. #2582C22semidirect
132. #2571C22semidirect
133. #2567C22semidirect
134. #2564C22semidirect
138. #2562C22semidirect
139. #2560C22semidirect
141. #2552C22semidirect
142. #2550C22semidirect
143. #2545C22semidirect
150. #2538C22semidirect
153. #2537C22semidirect
155. #2536C22semidirect
156. #2536C22semidirect
158. #2531C22semidirect
159. #2531C22semidirect
160. #2529C22semidirect
161. #2522C22semidirect
162. #2519C22semidirect
164. #2514C22semidirect
166. #2510C22semidirect
167. #2510C22semidirect
168. #2509C22semidirect
169. #2509C22semidirect
170. #2506C22semidirect
171. #2506C22semidirect
172. #2505C22semidirect
173. #2504C22semidirect
175. #2497C22semidirect
176. #2497C22semidirect
177. #2496C22semidirect
182. #2494C22semidirect
183. #2494C22semidirect
184. #2494C22semidirect
185. #2494C22semidirect
186. #2494C22semidirect
190. #2489C22semidirect
191. #2489C22semidirect
192. #2489C22semidirect
197. #2485C22semidirect
200. #2469C22semidirect
207. #2454C22semidirect
208. #2453C22semidirect
211. #2447C22semidirect
214. #2442C22semidirect
215. #2442C22semidirect
216. #2442C22semidirect
217. #2441C22semidirect
218. #2440C22semidirect
222. #2429C22semidirect
225. #2427C22semidirect
227. #2426C22semidirect
228. #2426C22semidirect
231. #2423C22semidirect
233. #2421C22semidirect
234. #2421C22semidirect
240. #2417C22semidirect
244. #2415C22semidirect
245. #2415C22semidirect
246. #2414C22semidirect
250. #2396C22semidirect
255. #2370C22semidirect
259. #2361C22semidirect
260. #2360C22semidirect
261. #2356C22semidirect
262. #2356C22semidirect
263. #2354C22semidirect
264. #2352C22semidirect
265. Q8×C4⋊C4C22semidirect
266. Q8×C4⋊C4C22semidirect
269. #2347C22semidirect
270. #2345C22semidirect
275. #2324C22semidirect
276. #2323C22semidirect
277. #2323C22semidirect
278. #2317C22semidirect
279. #2314C22semidirect
281. C4×C4⋊Q8C22semidirect
285. C4×#124C22semidirect
289. C4×#121C22semidirect
292. #2293C22semidirect
294. #2285C22semidirect
297. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#596602
#592622
#592122
#578672
#572312
#539602
#531492
#529782
#489672
#461902
#456462
#452282
#449442
#427452
#427412
#425572
#425392
#395982
#394772
#391942
#391872
#391262
#390242
#389212
#378522
#376222
#373802
#373552
#365552
#362102
#361542
#352362
#351852
#349192
#347002