Finite Group Databasebeta

← #7712534

Subgroups — #7712534

Order 512.

4770 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59752C212yesmaximal, complemented
2#59564C212yesmaximal, complemented
3#59237C212yesmaximal, complemented
4#59221C212yesmaximal, complemented
5#46344C212yesmaximal, complemented
6#46342C212yesmaximal, complemented
7#45717C212yesmaximal, complemented
8#45700C212yesmaximal, complemented
9#40094C212yesmaximal, complemented
10#40070C212yesmaximal, complemented
11#39998C212yesmaximal, complemented
12#39974C212yesmaximal, complemented
13#39603C212yesmaximal, complemented
14#39463C212yesmaximal
15#39244C212yesmaximal, complemented
16#39216C212yesmaximal, complemented
17#39028C212yesmaximal, complemented
18#39026C212yesmaximal, complemented
19#37974C212yesmaximal, complemented
20#37973C212yesmaximal, complemented
21#37582C212yesmaximal, complemented
22#37410C212yesmaximal, complemented
23#37403C212yesmaximal, complemented
24#36635C211yesmaximal, characteristic, complemented
25#36635C211yesmaximal, characteristic, complemented
26#36210C211yesmaximal, characteristic, complemented
27#36209C211yesmaximal, characteristic, complemented
28#36189C211yesmaximal, characteristic, complemented
29#36181C211yesmaximal, characteristic, complemented
30#36151C211yesmaximal, characteristic, complemented
31#36151C211yesmaximal, characteristic, complemented
32#36129C211yesmaximal, characteristic, complemented
33#36129C211yesmaximal, characteristic, complemented
34#35297C211yesmaximal, characteristic, complemented
35#35297C211yesmaximal, characteristic, complemented
36#35280C211yesmaximal, characteristic, complemented
37#35279C211yesmaximal, characteristic, complemented
38#34482C212yesmaximal, complemented
39C4×#532C211yesmaximal, characteristic
40C2×#552C2212yes—
41C2×#533C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C2×#533C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C22×C4⋊Q8C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48#2864C2212yes—
49#2864C2212yes—
50#2863C2212yes—
51#2863C2212yes—
52#2863C2212yes—
53#2863C2212yes—
54#2862C2211yescharacteristic
55#2862C2211yescharacteristic
56#2859C2211yescharacteristic
57#2859C2211yescharacteristic
58#2857C2211yescharacteristic
59#2857C2211yescharacteristic
60#2857C2211yescharacteristic
61#2857C2211yescharacteristic
62#2857C2211yescharacteristic
63#2857C2211yescharacteristic
64#2857C2211yescharacteristic
65#2857C2211yescharacteristic
66#2857C2211yescharacteristic
67#2857C2211yescharacteristic
68#2857C2211yescharacteristic
69#2857C2211yescharacteristic
70#2855C2212yes—
71#2855C2212yes—
72#2855C2212yes—
73#2855C2212yes—
74#2851C2212yes—
75#2851C2212yes—
76#2839C2214yes—
77#2830C2214yes—
78#2805C2214yes—
79#2798C2214yes—
80#2793C2214yes—
81#2792C2214yes—
82#2791C2214yes—
83#2791C2214yes—
84#2788C2214yes—
85#2786C2214yes—
86#2783C2214yes—
87#2776C2214yes—
88#2773C2214yes—
89#2770C2214yes—
90#2769C2214yes—
91#2768C2214yes—
92#2762C2214yes—
93#2761C2214yes—
94#2758C2214yes—
95#2757C2214yes—
96#2757C2214yes—
97#2751C2214yes—
98#2750C2214yes—
99#2747C2214yes—
100#2745C2214yes—
101#2744C2214yes—
102#2743C2214yes—
103#2740C2214yes—
104#2737C2214yes—
105#2737C2214yes—
106#2713C2214yes—
107#2711C2214yes—
108#2709C2214yes—
109#2708C2214yes—
110#2666C2214yes—
111#2654C2214yes—
112#2651C2214yes—
113#2650C2214yes—
114#2629C2212yes—
115#2629C2212yes—
116#2628C2212yes—
117#2628C2212yes—
118#2625C2212yes—
119#2625C2212yes—
120#2616C2212yes—
121#2616C2212yes—
122#2612C2214yes—
123#2605C2214yes—
124#2584C2212yes—
125#2584C2212yes—
126#2582C2212yes—
127#2582C2212yes—
128#2581C2212yes—
129#2581C2212yes—
130#2576C2214yes—
131#2574C2214yes—
132#2572C2214yes—
133#2570C2212yes—
134#2568C2212yes—
135#2567C2212yes—
136#2565C2212yes—
137#2563C2212yes—
138#2562C2212yes—
139#2562C2212yes—
140#2562C2212yes—
141#2559C2214yes—
142#2550C2212yes—
143#2550C2212yes—
144#2542C2212yes—
145#2538C2212yes—
146#2538C2212yes—
147#2536C2212yes—
148#2536C2212yes—
149#2536C2212yes—
150#2536C2212yes—
151#2536C2212yes—
152#2532C2214yes—
153#2531C2214yes—
154#2529C2214yes—
155#2526C2214yes—
156#2526C2214yes—
157#2522C2214yes—
158#2521C2214yes—
159#2520C2214yes—
160#2516C2214yes—
161#2514C2212yes—
162#2511C2212yes—
163#2509C2212yes—
164#2508C2212yes—
165#2508C2212yes—
166#2508C2214yes—
167#2507C2212yes—
168#2506C2212yes—
169#2506C2212yes—
170#2503C2212yes—
171#2499C2212yes—
172#2497C2212yes—
173#2496C2212yes—
174#2496C2212yes—
175#2495C2212yes—
176#2495C2212yes—
177#2495C2212yes—
178#2494C2212yes—
179#2494C2212yes—
180#2492C2212yes—
181#2492C2212yes—
182#2489C2212yes—
183#2489C2212yes—
184#2489C2212yes—
185#2489C2212yes—
186#2489C2212yes—
187#2489C2212yes—
188#2487C2212yes—
189#2487C2212yes—
190#2487C2212yes—
191#2486C2212yes—
192#2486C2212yes—
193#2485C2212yes—
194#2485C2212yes—
195#2485C2212yes—
196#2485C2212yes—
197#2485C2212yes—
198#2485C2212yes—
199#2485C2212yes—
200#2476C2214yes—
201#2474C2214yes—
202#2453C2212yes—
203#2453C2212yes—
204#2453C2212yes—
205#2453C2212yes—
206#2451C2212yes—
207#2451C2212yes—
208#2446C2212yes—
209#2446C2212yes—
210#2442C2212yes—
211#2442C2212yes—
212#2442C2212yes—
213#2441C2212yes—
214#2439C2212yes—
215#2439C2212yes—
216#2429C2212yes—
217#2429C2212yes—
218#2423C2212yes—
219#2421C2212yes—
220#2421C2212yes—
221#2421C2212yes—
222#2421C2212yes—
223#2421C2212yes—
224#2417C2212yes—
225#2417C2212yes—
226#2417C2212yes—
227#2417C2212yes—
228#2417C2212yes—
229#2417C2212yes—
230#2417C2212yes—
231#2415C2212yes—
232#2415C2212yes—
233#2415C2212yes—
234#2415C2212yes—
235#2415C2212yes—
236#2415C2212yes—
237#2415C2212yes—
238#2415C2212yes—
239#2415C2212yes—
240#2409C2212yes—
241#2409C2212yes—
242#2409C2212yes—
243#2409C2212yes—
244#2382C2214yes—
245#2376C2214yes—
246#2373C2214yes—
247#2370C2212yes—
248#2362C2212yes—
249#2362C2212yes—
250#2362C2212yes—
251#2362C2212yes—
252#2362C2212yes—
253#2360C2212yes—
254#2360C2212yes—
255#2360C2212yes—
256#2356C2212yes—
257#2352C2212yes—
258#2352C2212yes—
259#2352C2212yes—
260#2351C2212yes—
261#2351C2212yes—
262#2347C2212yes—
263#2346C2212yes—
264#2346C2214yes—
265#2346C2212yes—
266#2345C2212yes—
267#2344C2212yes—
268#2344C2212yes—
269Q8×C22⋊C4C2212yes—
270Q8×C22⋊C4C2212yes—
271#2335C2214yes—
272#2334C2214yes—
273#2330C2214yes—
274#2323C2212yes—
275#2323C2212yes—
276#2323C2212yes—
277#2323C2212yes—
278#2317C2212yes—
279#2316C2212yes—
280#2314C2214yes—
281#2311C2212yes—
282#2311C2212yes—
283C4×C4⋊Q8C2211yescharacteristic
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2211yescharacteristic
286C4×C4⋊Q8C2211yescharacteristic
287C4×C4⋊Q8C2211yescharacteristic
288C4×C4⋊Q8C2211yescharacteristic
289C4×#127C2211yescharacteristic
290C4×#127C2211yescharacteristic
291C4×#125C2212yes—
292C4×#125C2212yes—
293C4×#124C2211yescharacteristic
294C4×#124C2211yescharacteristic
295C4×#124C2211yescharacteristic
296C4×#124C2211yescharacteristic
297C4×C22⋊Q8C2212yes—
298C4×C22⋊Q8C2212yes—
299C4×C22⋊Q8C2212yes—
300C4×C22⋊Q8C2212yes—
301C4×#121C2211yescharacteristic
302C4×#121C2211yescharacteristic
303C4×#121C2211yescharacteristic
304C4×#121C2211yescharacteristic
305C4×#121C2211yescharacteristic
306C4×#121C2211yescharacteristic
307C4×#121C2211yescharacteristic
308C4×#121C2211yescharacteristic
309#2297C2211yescharacteristic
310#2297C2211yescharacteristic
311#2295C2212yes—
312#2295C2212yes—
313#2295C2212yes—
314#2295C2212yes—
315#2293C2211yescharacteristic
316#2293C2211yescharacteristic
317#2293C2211yescharacteristic
318#2293C2211yescharacteristic
319#2285C2211yescharacteristic
320#2285C2211yescharacteristic
321#2285C2211yescharacteristic
322#2285C2211yescharacteristic
323C2×#384C2211yescharacteristic
324#2283C2212yes—
325#2283C2212yes—
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C42×D4C2211yescharacteristic
329C42×D4C2211yescharacteristic
330C2×C43C2211yescharacteristic
331C22×#41C2311yescharacteristic
332C22×#41C2311yescharacteristic
333C23×Q8C2312yes—
334#552—216no—
335#533—44no—
336#533—44no—
337#533—44no—
338#532—28no—
339C2×C4⋊Q8—44no—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×#127C2311yescharacteristic
349C2×#126C2314yes—
350C2×#125C2312yes—
351C2×#125C2314yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#124C2311yescharacteristic
357C2×#124C2311yescharacteristic
358C2×#123C2314yes—
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×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×#121C2311yescharacteristic
378C2×#121C2311yescharacteristic
379C2×#121C2311yescharacteristic
380C2×#121C2311yescharacteristic
381C4×#41—44no—
382C4×#41—44no—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×#117C2312yes—
422C2×#117C2314yes—
423C2×#117C2312yes—
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2311yescharacteristic
433C2×#117C2311yescharacteristic
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2312yes—
439C22×C42C2311yescharacteristic
440C22×C42C2311yescharacteristic
441C22×C42C2311yescharacteristic
442C22×C42C2311yescharacteristic
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446C22×C42C2311yescharacteristic
447C22×C42C2311yescharacteristic
448C22×C42C2311yescharacteristic
449C22×C42C2311yescharacteristic
450#401C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#399C2314yes—
470#399C2314yes—
471#399C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#395C2314yes—
511#395C2314yes—
512#395C2314yes—
513#395C2314yes—
514#395C2314yes—
515#395C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#391C2311yescharacteristic
537#391C2311yescharacteristic
538#391C2312yes—
539#391C2312yes—
540#391C2314yes—
541#391C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2314yes—
547#391C2314yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2314yes—
557#391C2314yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#390C2311yescharacteristic
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2311yescharacteristic
572#390C2311yescharacteristic
573#390C2311yescharacteristic
574#390C2311yescharacteristic
575#390C2311yescharacteristic
576#390C2314yes—
577#390C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2314yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2314yes—
626#389C2314yes—
627#389C2314yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2314yes—
638#389C2314yes—
639#389C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2311yescharacteristic
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2311yescharacteristic
656#388C2314yes—
657#388C2311yescharacteristic
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2311yescharacteristic
671#388C2311yescharacteristic
672#388C2311yescharacteristic
673#388C2311yescharacteristic
674#388C2311yescharacteristic
675#388C2311yescharacteristic
676#388C2311yescharacteristic
677#388C2311yescharacteristic
678#388C2311yescharacteristic
679#388C2311yescharacteristic
680#388C2311yescharacteristic
681#388C2311yescharacteristic
682#388C2311yescharacteristic
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2311yescharacteristic
729#386C2311yescharacteristic
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2311yescharacteristic
734#386C2311yescharacteristic
735#386C2311yescharacteristic
736#386C2311yescharacteristic
737#386C2311yescharacteristic
738#386C2311yescharacteristic
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#384C2311yescharacteristic
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#384C2311yescharacteristic
753#384C2311yescharacteristic
754#384C2312yes—
755#384C2314yes—
756#384C2312yes—
757#384C2312yes—
758#383C2314yes—
759#383C2314yes—
760#383C2314yes—
761#383C2314yes—
762#382C2312yes—
763#382C2312yes—
764#382C2314yes—
765#382C2312yes—
766#382C2314yes—
767#382C2312yes—
768#382C2312yes—
769#382C2314yes—
770#382C2314yes—
771#382C2312yes—
772#382C2314yes—
773#382C2312yes—
774#382C2312yes—
775#382C2312yes—
776#382C2311yescharacteristic
777#382C2311yescharacteristic
778#381C2314yes—
779#381C2314yes—
780#381C2314yes—
781#381C2314yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2314yes—
803#380C2314yes—
804#380C2314yes—
805#380C2311yescharacteristic
806#380C2312yes—
807#380C2312yes—
808#380C2314yes—
809#380C2314yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2311yescharacteristic
819#380C2311yescharacteristic
820#380C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2312yes—
844C4×C4⋊C4C2311yescharacteristic
845C4×C4⋊C4C2312yes—
846C4×C4⋊C4C2314yes—
847C4×C4⋊C4C2314yes—
848C4×C4⋊C4C2312yes—
849C4×C4⋊C4C2312yes—
850C4×C4⋊C4C2314yes—
851C4×C4⋊C4C2311yescharacteristic
852C4×C4⋊C4C2311yescharacteristic
853C4×C4⋊C4C2311yescharacteristic
854C4×C22⋊C4C2314yes—
855C4×C22⋊C4C2314yes—
856C4×C22⋊C4C2314yes—
857C4×C22⋊C4C2314yes—
858C4×C22⋊C4C2314yes—
859C4×C22⋊C4C2311yescharacteristic
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2311yescharacteristic
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876C4×C22⋊C4C2311yescharacteristic
877C4×C22⋊C4C2311yescharacteristic
878C4×C22⋊C4C2311yescharacteristic
879C4×C22⋊C4C2311yescharacteristic
880C4×C22⋊C4C2311yescharacteristic
881C4×C22⋊C4C2311yescharacteristic
882C4×C22⋊C4C2311yescharacteristic
883#376C2314yes—
884#376C2314yes—
885#376C2314yes—
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C43C2311yescharacteristic
893C43C2311yescharacteristic
894C2×#41—24no—
895C2×#41—24no—
896C2×#41—24no—
897C2×#41—24no—
898C2×#41—42no—
899C2×#41—42no—
900C22×Q8—44no—
901C22×Q8—44no—
902C22×Q8—44no—
903C22×Q8C2412yes—
904C22×Q8C2412yes—
905C22×Q8C2412yes—
906C22×Q8C2412yes—
907C22×Q8C2411yescharacteristic
908C22×Q8C2411yescharacteristic
909C22×Q8C2414yes—
910C22×D4C2411yescharacteristic
911C22×D4C2411yescharacteristic
912C22×D4C2411yescharacteristic
913C22×D4C2411yescharacteristic
914C22×D4C2411yescharacteristic
915C22×D4C2411yescharacteristic
916C22×D4C2411yescharacteristic
917C22×D4C2411yescharacteristic
918C22×D4C2411yescharacteristic
919C22×D4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2414yes—
938C23×C4C2411yescharacteristic
939C23×C4C2411yescharacteristic
940C23×C4C2414yes—
941C4⋊Q8—24no—
942C4⋊Q8—24no—
943C4⋊Q8—24no—
944C4⋊Q8—24no—
945C4⋊Q8—24no—
946C4⋊Q8—44no—
947C4⋊Q8—44no—
948C4⋊Q8—44no—
949#127—24no—
950#126—216no—
951#125—216no—
952#125—28no—
953#125—44no—
954#125—44no—
955#125—44no—
956#125—44no—
957#124—24no—
958#124—24no—
959#123—216no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—44no—
964C22⋊Q8—44no—
965C22⋊Q8—44no—
966C22⋊Q8—44no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974C22⋊Q8—44no—
975C22⋊Q8—44no—
976C22⋊Q8—44no—
977C22⋊Q8—44no—
978#121—24no—
979#121—24no—
980#121—24no—
981#121—24no—
982C4×Q8—28no—
983C4×Q8—28no—
984C4×Q8—42no—
985C4×Q8—42no—
986C4×Q8—42no—
987C4×Q8—42no—
988C4×Q8—44no—
989C4×Q8—44no—
990C4×Q8—44no—
991C4×Q8—44no—
992C4×Q8—44no—
993C4×Q8—44no—
994C4×Q8—44no—
995C4×Q8—44no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—24no—
1000C4×D4—24no—
1001C4×D4—42no—
1002C4×D4—42no—
1003C4×D4—42no—
1004C4×D4—42no—
1005C4×D4—42no—
1006C4×D4—42no—
1007C4×D4—42no—
1008C4×D4—42no—
1009C4×D4—42no—
1010C4×D4—42no—
1011C4×D4—42no—
1012C4×D4—42no—
1013C4×D4—42no—
1014C4×D4—42no—
1015C4×D4—42no—
1016C4×D4—42no—
1017C4×D4—42no—
1018C4×D4—42no—
1019C4×D4#4118yes—
1020#117—28no—
1021#117—216no—
1022#117—42no—
1023#117—42no—
1024#117—42no—
1025#117—42no—
1026#117—42no—
1027#117—42no—
1028#117—44no—
1029#117—44no—
1030#117—44no—
1031#117—44no—
1032#117—44no—
1033C2×C4⋊C4—28no—
1034C2×C4⋊C4—44no—
1035C2×C4⋊C4—44no—
1036C2×C4⋊C4—44no—
1037C2×C4⋊C4—44no—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C42—24no—
1168C2×C42—24no—
1169C2×C42—24no—
1170C2×C42—24no—
1171C2×C42—24no—
1172C2×C42—24no—
1173C2×C42—24no—
1174C2×C42—24no—
1175C2×C42—42no—
1176C2×C42—42no—
1177C2×C42—42no—
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2414yes—
1183C2×C42C2411yescharacteristic
1184C2×C42C2414yes—
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2414yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2414yes—
1213C2×C42C2414yes—
1214C2×C42C2414yes—
1215C2×C42C2414yes—
1216C2×C42C2414yes—
1217C2×C42C2414yes—
1218C2×C42C2414yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2411yescharacteristic
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2411yescharacteristic
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302C24C2511yescharacteristic
1303C24C2511yescharacteristic
1304C24C2511yescharacteristic
1305C24C2511yescharacteristic
1306C24C2511yescharacteristic
1307#41—416no—
1308#41—416no—
1309C2×Q8—24no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—24no—
1313C2×Q8—24no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—24no—
1317C2×Q8—24no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—24no—
1321C2×Q8—24no—
1322C2×Q8—24no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—41no—
1326C2×Q8—41no—
1327C2×Q8—44no—
1328C2×Q8—44no—
1329C2×Q8—44no—
1330C2×Q8—816no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4C2×#4114yes—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—28no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4C2×#4114yes—
1422C22×C4C2×#4114yes—
1423C22×C42−1+414yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2514yes—
1431C22×C4C2514yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2514yes—
1437C22×C4C2514yes—
1438C22×C4C2514yes—
1439C22×C4C2514yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2514yes—
1443C22×C4C2514yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—28no—
1461C4⋊C4—24no—
1462C4⋊C4—28no—
1463C4⋊C4—28no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—28no—
1468C4⋊C4—28no—
1469C4⋊C4—28no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—28no—
1482C4⋊C4—24no—
1483C4⋊C4—28no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—41no—
1496C4⋊C4—41no—
1497C4⋊C4—41no—
1498C4⋊C4—41no—
1499C4⋊C4—41no—
1500C4⋊C4—41no—
1501C4⋊C4—41no—
1502C4⋊C4—41no—
1503C4⋊C4—41no—
1504C4⋊C4—41no—
1505C4⋊C4—41no—
1506C4⋊C4—41no—
1507C4⋊C4—41no—
1508C4⋊C4—41no—
1509C4⋊C4—41no—
1510C4⋊C4—41no—
1511C4⋊C4—41no—
1512C4⋊C4—41no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4C2×#4114yes—
1533C22⋊C4—28no—
1534C22⋊C4—28no—
1535C22⋊C4—22no—
1536C22⋊C4—22no—
1537C22⋊C4—28no—
1538C22⋊C4—28no—
1539C22⋊C4—22no—
1540C22⋊C4—22no—
1541C22⋊C4—22no—
1542C22⋊C4—22no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—41no—
1558C22⋊C4—41no—
1559C22⋊C4—41no—
1560C22⋊C4—41no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—41no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—41no—
1573C22⋊C4—41no—
1574C22⋊C4—41no—
1575C22⋊C4—41no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4C2×#4114yes—
1586C22⋊C4C2×#4114yes—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—28no—
1591C42—28no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—22no—
1598C42—22no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—22no—
1607C42—22no—
1608C42—22no—
1609C42—22no—
1610C42—22no—
1611C42—22no—
1612C42—22no—
1613C42—22no—
1614C42—28no—
1615C42—22no—
1616C42—22no—
1617C42—22no—
1618C42—22no—
1619C42—22no—
1620C42—22no—
1621C42—41no—
1622C42—41no—
1623C42—41no—
1624C42—41no—
1625C42—41no—
1626C42—41no—
1627C42—44no—
1628C42—44no—
1629C42—44no—
1630C42—44no—
1631C42—44no—
1632C42—44no—
1633C42—44no—
1634C42C2×#4114yes—
1635C42H(5,𝔽2)14yes—
1636C422−1+414yes—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23C22×#4112yes—
1670C23C22×#4112yes—
1671C23C2×2−1+412yes—
1672C23C2611yescharacteristic
1673Q8—44no—
1674Q8—44no—
1675Q8—48no—
1676Q8—48no—
1677Q8—48no—
1678Q8—48no—
1679Q8—88no—
1680D4—44no—
1681D4—44no—
1682D4—44no—
1683D4—44no—
1684D4—44no—
1685D4—44no—
1686D4—44no—
1687D4—44no—
1688D4—44no—
1689D4—44no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—28no—
1705C2×C4—28no—
1706C2×C4—28no—
1707C2×C4—21no—
1708C2×C4—24no—
1709C2×C4—24no—
1710C2×C4—24no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—24no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—24no—
1727C2×C4—24no—
1728C2×C4—24no—
1729C2×C4—24no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—24no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—24no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—24no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—24no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—24no—
1762C2×C4—24no—
1763C2×C4—24no—
1764C2×C4—24no—
1765C2×C4—24no—
1766C2×C4—24no—
1767C2×C4—24no—
1768C2×C4—24no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—44no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—44no—
1787C2×C4—44no—
1788C2×C4—44no—
1789C2×C4—44no—
1790C2×C4—44no—
1791C2×C4—44no—
1792C2×C4—44no—
1793C2×C4—44no—
1794C2×C4—44no—
1795C2×C4—88no—
1796C2×C4—88no—
1797C2×C4C22×#4112yes—
1798C2×C4C22×#4112yes—
1799C2×C4C22×#4112yes—
1800C2×C4C22×#4112yes—
1801C2×C4C22×#4112yes—
1802C2×C4C2×H(5,𝔽2)12yes—
1803C2×C4C2×H(5,𝔽2)12yes—
1804C2×C4C2×H(5,𝔽2)12yes—
1805C2×C4C2×2−1+412yes—
1806C2×C4C2×2−1+412yes—
1807C2×C4C2×2−1+412yes—
1808C2×C4C2×2−1+412yes—
1809C2×C4C2×2−1+412yes—
1810C2×C4#58512yes—
1811C2×C4#58512yes—
1812C2×C4#58512yes—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—22no—
1821C22—22no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22C23×#4111yescharacteristic
1849C22C22×H(5,𝔽2)11yescharacteristic
1850C22C22×2−1+411yescharacteristic
1851C22C22×2−1+411yescharacteristic
1852C22C2×#58511yescharacteristic
1853C22C2×#58511yescharacteristic
1854C22C2×#58511yescharacteristic
1855C4—22no—
1856C4—22no—
1857C4—22no—
1858C4—22no—
1859C4—22no—
1860C4—22no—
1861C4—22no—
1862C4—41no—
1863C4—41no—
1864C4—41no—
1865C4—41no—
1866C4—41no—
1867C4—44no—
1868C4—44no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—44no—
1875C4—41no—
1876C4—41no—
1877C4—44no—
1878C4—44no—
1879C4—41no—
1880C4—44no—
1881C4—44no—
1882C4—41no—
1883C4—44no—
1884C4—41no—
1885C4—41no—
1886C4#352014yes—
1887C4#354714yes—
1888C4#355114yes—
1889C2—42no—
1890C2—42no—
1891C2—42no—
1892C2—81no—
1893C2—81no—
1894C2C2×#355111yescharacteristic
1895C2C2×#354711yescharacteristic
1896C2C2×#352011yescharacteristic
1897C2#6280511yescharacteristic
1898C2#6281511yescharacteristic
1899C2#6283711yescharacteristic
1900C2#6283811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#532C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59752C2semidirect
2. #59564C2semidirect
3. #59237C2semidirect
4. #59221C2semidirect
5. #46344C2semidirect
6. #46342C2semidirect
7. #45717C2semidirect
8. #45700C2semidirect
9. #40094C2semidirect
10. #40070C2semidirect
11. #39998C2semidirect
12. #39974C2semidirect
13. #39603C2semidirect
15. #39244C2semidirect
16. #39216C2semidirect
17. #39028C2semidirect
18. #39026C2semidirect
19. #37974C2semidirect
20. #37973C2semidirect
21. #37582C2semidirect
22. #37410C2semidirect
23. #37403C2semidirect
24. #36635C2semidirect
25. #36635C2semidirect
26. #36210C2semidirect
27. #36209C2semidirect
28. #36189C2semidirect
29. #36181C2semidirect
30. #36151C2semidirect
31. #36151C2semidirect
32. #36129C2semidirect
33. #36129C2semidirect
34. #35297C2semidirect
35. #35297C2semidirect
36. #35280C2semidirect
37. #35279C2semidirect
38. #34482C2semidirect

Maximal subgroups

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

subgroupindex
#597522
#595642
#592372
#592212
#463442
#463422
#457172
#457002
#400942
#400702
#399982
#399742
#396032
#394632
#392442
#392162
#390282
#390262
#379742
#379732
#375822
#374102
#374032
#366352
#362102
#362092
#361892
#361812
#361512
#361292
#352972
#352802
#352792
#344822
C4×#5322