Finite Group Databasebeta

← #7712250

Subgroups — #7712250

Order 512.

5301 conjugacy classes of subgroups.

The subgroup lattice has 1994 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59753C212yesmaximal, complemented
2#59569C212yesmaximal, complemented
3#59405C212yesmaximal, complemented
4#59398C212yesmaximal, complemented
5#45646C212yesmaximal, complemented
6#45640C212yesmaximal, complemented
7#45598C212yesmaximal, complemented
8#45592C212yesmaximal, complemented
9#40198C212yesmaximal, complemented
10#40197C212yesmaximal, complemented
11#39910C212yesmaximal, complemented
12#39909C212yesmaximal, complemented
13#39822C212yesmaximal, complemented
14#39437C212yesmaximal, complemented
15#39236C212yesmaximal, complemented
16#39220C212yesmaximal, complemented
17#39031C212yesmaximal, complemented
18#39021C212yesmaximal, complemented
19#37671C212yesmaximal, complemented
20#37656C212yesmaximal, complemented
21#37500C212yesmaximal, complemented
22#37409C212yesmaximal, complemented
23#37406C212yesmaximal, complemented
24#36625C211yesmaximal, characteristic, complemented
25#36624C211yesmaximal, characteristic, complemented
26#36211C211yesmaximal, characteristic, complemented
27#36210C211yesmaximal, characteristic, complemented
28#36189C211yesmaximal, characteristic, complemented
29#36189C211yesmaximal, characteristic, complemented
30#36150C211yesmaximal, characteristic, complemented
31#36150C211yesmaximal, characteristic, complemented
32#36134C211yesmaximal, characteristic, complemented
33#36127C211yesmaximal, characteristic, complemented
34#35319C211yesmaximal, characteristic, complemented
35#35297C211yesmaximal, characteristic, complemented
36#35288C211yesmaximal, characteristic, complemented
37#35273C211yesmaximal, characteristic, complemented
38#34473C212yesmaximal, complemented
39C4×#525C211yesmaximal, characteristic, complemented
40C2×#547C2212yes—
41C2×#541C2212yes—
42C2×#537C2212yes—
43C2×#533C2211yescharacteristic
44C2×#533C2211yescharacteristic, complemented
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic, complemented
47C2×#525C2211yescharacteristic
48C2×#525C2212yes—
49C2×C4×#41C2211yescharacteristic
50C23×C42C2211yescharacteristic
51#2868C2211yescharacteristic, complemented
52#2859C2211yescharacteristic, complemented
53#2859C2211yescharacteristic, complemented
54#2858C2211yescharacteristic, complemented
55#2857C2211yescharacteristic
56#2857C2211yescharacteristic
57#2857C2211yescharacteristic
58#2857C2211yescharacteristic
59#2857C2211yescharacteristic
60#2857C2211yescharacteristic
61#2857C2211yescharacteristic, complemented
62#2857C2211yescharacteristic, complemented
63#2857C2211yescharacteristic, complemented
64#2856C2211yescharacteristic
65#2856C2211yescharacteristic
66#2856C2211yescharacteristic, complemented
67#2855C2212yes—
68#2855C2212yes—
69#2854C2212yes—
70#2854C2212yes—
71#2851C2212yes—
72#2851C2212yes—
73#2850C2212yes—
74#2850C2212yes—
75#2848C2212yes—
76#2848C2212yes—
77#2847C2212yes—
78#2847C2212yes—
79#2827C2214yes—
80#2826C2214yes—
81#2797C2214yes—
82#2796C2214yes—
83#2793C2214yescomplemented
84#2793C2214yescomplemented
85#2787C2214yescomplemented
86#2780C2214yes—
87#2779C2214yescomplemented
88#2778C2214yes—
89#2777C2214yescomplemented
90#2770C2214yescomplemented
91#2752C2214yes—
92#2750C2214yes—
93#2749C2214yes—
94#2748C2214yes—
95#2746C2214yes—
96#2743C2214yes—
97#2741C2214yescomplemented
98#2741C2214yescomplemented
99#2740C2214yescomplemented
100#2739C2214yescomplemented
101#2711C2214yescomplemented
102#2707C2214yes—
103#2694C2214yes—
104#2691C2214yes—
105#2691C2214yes—
106#2690C2214yescomplemented
107#2685C2214yes—
108#2685C2214yes—
109#2680C2214yes—
110#2678C2214yes—
111#2671C2214yes—
112#2668C2214yes—
113#2652C2214yescomplemented
114#2649C2214yes—
115#2649C2214yescomplemented
116#2648C2214yes—
117#2644C2212yescomplemented
118#2642C2212yescomplemented
119#2625C2212yescomplemented
120#2624C2212yes—
121#2621C2212yes—
122#2620C2212yes—
123#2620C2212yescomplemented
124#2616C2212yes—
125#2597C2214yes—
126#2597C2214yescomplemented
127#2594C2214yescomplemented
128#2587C2214yescomplemented
129#2584C2212yescomplemented
130#2581C2212yescomplemented
131#2578C2214yes—
132#2570C2212yescomplemented
133#2570C2212yescomplemented
134#2562C2212yes—
135#2562C2212yes—
136#2559C2214yes—
137#2559C2214yes—
138#2556C2214yescomplemented
139#2552C2212yescomplemented
140#2547C2212yescomplemented
141#2542C2212yes—
142#2540C2212yes—
143#2540C2212yes—
144#2538C2212yes—
145#2538C2212yescomplemented
146#2538C2212yescomplemented
147#2537C2212yes—
148#2537C2212yes—
149#2537C2212yes—
150#2537C2212yes—
151#2536C2212yes—
152#2535C2212yes—
153#2522C2214yescomplemented
154#2514C2212yescomplemented
155#2513C2212yescomplemented
156#2513C2212yescomplemented
157#2513C2212yescomplemented
158#2511C2212yescomplemented
159#2511C2212yescomplemented
160#2509C2212yescomplemented
161#2507C2212yescomplemented
162#2507C2212yescomplemented
163#2506C2212yescomplemented
164#2506C2212yescomplemented
165#2506C2212yescomplemented
166#2506C2212yescomplemented
167#2497C2212yes—
168#2497C2212yes—
169#2496C2212yes—
170#2496C2212yes—
171#2496C2212yes—
172#2496C2212yes—
173#2495C2212yes—
174#2494C2212yes—
175#2494C2212yescomplemented
176#2490C2212yes—
177#2490C2212yes—
178#2490C2212yes—
179#2490C2214yescomplemented
180#2490C2212yescomplemented
181#2490C2212yescomplemented
182#2487C2212yes—
183#2487C2212yes—
184#2485C2212yes—
185#2485C2212yes—
186#2485C2212yescomplemented
187#2468C2214yes—
188#2466C2214yes—
189#2464C2214yes—
190#2460C2214yes—
191#2454C2214yes—
192#2454C2212yescomplemented
193#2454C2212yescomplemented
194#2454C2212yescomplemented
195#2449C2214yes—
196#2448C2212yescomplemented
197#2448C2212yescomplemented
198#2448C2212yescomplemented
199#2447C2212yescomplemented
200#2443C2214yes—
201#2442C2212yescomplemented
202#2442C2212yescomplemented
203#2441C2212yes—
204#2441C2212yes—
205#2441C2212yes—
206#2441C2212yescomplemented
207#2432C2212yes—
208#2432C2212yescomplemented
209#2429C2212yes—
210#2429C2212yescomplemented
211#2427C2212yes—
212#2427C2212yes—
213#2427C2212yescomplemented
214#2426C2212yes—
215#2426C2212yes—
216#2426C2212yes—
217#2426C2212yescomplemented
218#2426C2212yescomplemented
219#2423C2212yes—
220#2423C2212yes—
221#2423C2212yes—
222#2423C2212yescomplemented
223#2422C2212yes—
224#2422C2214yes—
225#2422C2212yes—
226#2422C2212yescomplemented
227#2422C2212yescomplemented
228#2421C2212yescomplemented
229#2420C2212yes—
230#2420C2212yes—
231#2420C2212yescomplemented
232#2417C2212yes—
233#2417C2212yes—
234#2416C2212yes—
235#2416C2212yes—
236#2416C2212yescomplemented
237#2416C2212yescomplemented
238#2415C2212yes—
239#2415C2212yes—
240#2415C2212yescomplemented
241#2414C2212yes—
242#2414C2212yes—
243#2414C2212yes—
244#2414C2212yes—
245#2407C2212yes—
246#2407C2212yes—
247#2377C2214yes—
248#2376C2214yes—
249#2374C2214yescomplemented
250#2370C2212yescomplemented
251#2367C2212yescomplemented
252#2367C2212yescomplemented
253#2365C2212yescomplemented
254#2363C2212yes—
255#2363C2212yes—
256#2363C2212yescomplemented
257#2363C2212yescomplemented
258#2362C2212yes—
259#2360C2212yescomplemented
260#2360C2212yescomplemented
261#2357C2212yescomplemented
262#2354C2212yes—
263#2352C2212yes—
264#2352C2212yes—
265Q8×C4⋊C4C2212yescomplemented
266D4×C4⋊C4C2212yescomplemented
267D4×C4⋊C4C2212yescomplemented
268#2347C2212yescomplemented
269#2345C2212yescomplemented
270#2345C2214yescomplemented
271#2345C2212yescomplemented
272#2341C2212yes—
273#2341C2212yescomplemented
274#2335C2214yes—
275#2335C2214yescomplemented
276#2333C2214yes—
277#2327C2212yescomplemented
278#2324C2212yes—
279#2323C2212yes—
280#2323C2212yescomplemented
281#2319C2212yescomplemented
282#2313C2214yescomplemented
283#2311C2212yescomplemented
284C4×C4⋊Q8C2211yescharacteristic, complemented
285C4×C4⋊Q8C2211yescharacteristic, complemented
286C4×C4⋊Q8C2211yescharacteristic, complemented
287C4×#127C2211yescharacteristic, complemented
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2212yes—
290C4×C22⋊Q8C2212yes—
291C4×C22⋊Q8C2212yes—
292C4×C22⋊Q8C2212yes—
293C4×C22⋊Q8C2211yescharacteristic
294C4×C22⋊Q8C2211yescharacteristic
295C4×C22⋊Q8C2211yescharacteristic
296C4×#123C2211yescharacteristic
297C4×#123C2211yescharacteristic
298C4×#123C2211yescharacteristic
299C4×#123C2211yescharacteristic
300C4×#121C2211yescharacteristic
301C4×#121C2212yes—
302C4×#121C2212yes—
303C4×#121C2212yes—
304C4×#121C2212yes—
305C4×#121C2211yescharacteristic
306C4×#121C2211yescharacteristic
307C4×#121C2211yescharacteristic
308C4×#120C2211yescharacteristic
309C4×#120C2211yescharacteristic
310C4×#120C2211yescharacteristic
311C4×#120C2211yescharacteristic
312#2297C2211yescharacteristic
313#2297C2212yes—
314#2296C2212yes—
315#2296C2211yescharacteristic
316#2290C2211yescharacteristic
317#2290C2211yescharacteristic
318#2290C2211yescharacteristic
319#2290C2211yescharacteristic
320#2285C2211yescharacteristic
321#2285C2211yescharacteristic
322#2285C2211yescharacteristic, complemented
323C2×#384C2211yescharacteristic, complemented
324#2280C2212yes—
325#2280C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C42×D4C2211yescharacteristic
329C42×D4C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C22×#41C2311yescharacteristic
332C22×#41C2312yes—
333C22×#41C2312yes—
334C24×C4C2311yescharacteristic
335C24×C4C2311yescharacteristic
336C24×C4C2311yescharacteristic
337#547—216no—
338#541—48no—
339#537—48no—
340#533—44no—
341#533—44no—
342#532—44no—
343#532—44no—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×#127C2311yescharacteristic
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2314yes—
357C2×#125C2314yes—
358C2×#124C2312yes—
359C2×#124C2312yes—
360C2×#124C2312yes—
361C2×#124C2312yes—
362#525—28no—
363#525—48no—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2311yescharacteristic
367C2×#123C2311yescharacteristic
368C2×#123C2314yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2311yescharacteristic
374C2×C22⋊Q8C2311yescharacteristic
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2314yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2311yescharacteristic
389C2×#121C2311yescharacteristic
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2312yes—
403C2×#121C2314yes—
404C2×#120C2311yescharacteristic
405C2×#120C2311yescharacteristic
406C2×#120C2314yes—
407C4×#41—44no—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2312yes—
412C2×C4×Q8C2311yescharacteristic
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2311yescharacteristic
415C2×C4×Q8C2312yes—
416C2×C4×Q8C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2314yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×#117C2311yescharacteristic
445C2×#117C2311yescharacteristic
446C2×#117C2311yescharacteristic
447C2×#117C2311yescharacteristic
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C2×#117C2312yes—
453C2×#117C2311yescharacteristic
454C22×C4⋊C4C2314yes—
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2312yes—
458C22×C42—44no—
459C22×C42C2311yescharacteristic
460C22×C42C2311yescharacteristic
461C22×C42C2311yescharacteristic
462C22×C42C2311yescharacteristic
463C22×C42C2311yescharacteristic
464C22×C42C2311yescharacteristic
465C22×C42C2311yescharacteristic
466C22×C42C2311yescharacteristic
467C22×C42C2311yescharacteristic
468C22×C42C2311yescharacteristic
469C22×C42C2311yescharacteristic
470C22×C42C2311yescharacteristic
471C22×C42C2311yescharacteristic
472C22×C42C2311yescharacteristic
473#401C2314yes—
474#400C2314yes—
475#400C2314yes—
476#400C2314yes—
477#400C2314yes—
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#400C2314yes—
484#400C2314yes—
485#399C2314yes—
486#399C2314yes—
487#399C2314yes—
488#399C2314yes—
489#399C2314yes—
490#399C2314yes—
491#399C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#395C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2311yescharacteristic
566#391C2311yescharacteristic
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2312yes—
580#390C2314yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2311yescharacteristic
594#390C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2314yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2311yescharacteristic
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2311yescharacteristic
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#387C2311yescharacteristic
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2311yescharacteristic
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2311yescharacteristic
700#387C2314yes—
701#387C2314yes—
702#387C2311yescharacteristic
703#387C2311yescharacteristic
704#387C2311yescharacteristic
705#387C2311yescharacteristic
706#387C2311yescharacteristic
707#386C2314yes—
708#386C2314yes—
709#386C2311yescharacteristic
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2311yescharacteristic
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2311yescharacteristic
725#386C2311yescharacteristic
726#386C2311yescharacteristic
727#386C2311yescharacteristic
728#386C2311yescharacteristic
729#386C2311yescharacteristic
730#386C2311yescharacteristic
731#386C2311yescharacteristic
732#386C2311yescharacteristic
733#386C2311yescharacteristic
734#385C2314yes—
735#385C2311yescharacteristic
736#385C2311yescharacteristic
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2311yescharacteristic
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2311yescharacteristic
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2311yescharacteristic
754#385C2311yescharacteristic
755#385C2311yescharacteristic
756#385C2311yescharacteristic
757#385C2311yescharacteristic
758#385C2311yescharacteristic
759#385C2311yescharacteristic
760#385C2311yescharacteristic
761#384C2311yescharacteristic
762#384C2311yescharacteristic
763#384C2311yescharacteristic
764#384C2311yescharacteristic
765#384C2312yes—
766#384C2312yes—
767#384C2312yes—
768#384C2312yes—
769#384C2312yes—
770#384C2314yes—
771#384C2312yes—
772#384C2312yes—
773#383C2314yes—
774#382C2312yes—
775#382C2312yes—
776#382C2312yes—
777#382C2312yes—
778#382C2312yes—
779#381C2314yes—
780#381C2314yes—
781#381C2314yes—
782#381C2311yescharacteristic
783#381C2311yescharacteristic
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2314yes—
793#380C2314yes—
794#380C2314yes—
795#380C2314yes—
796#380C2314yes—
797#380C2312yes—
798#380C2312yes—
799#380C2314yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2314yes—
813#380C2314yes—
814#380C2312yes—
815#380C2314yes—
816#380C2312yes—
817#380C2311yescharacteristic
818#380C2311yescharacteristic
819#380C2311yescharacteristic
820#380C2311yescharacteristic
821#379C2314yes—
822#379C2311yescharacteristic
823#379C2311yescharacteristic
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C4⋊C4C2311yescharacteristic
845C4×C4⋊C4C2312yes—
846C4×C4⋊C4C2311yescharacteristic
847C4×C4⋊C4C2311yescharacteristic
848C4×C4⋊C4C2311yescharacteristic
849C4×C4⋊C4C2311yescharacteristic
850C4×C4⋊C4C2311yescharacteristic
851C4×C4⋊C4C2311yescharacteristic
852C4×C4⋊C4C2311yescharacteristic
853C4×C4⋊C4C2311yescharacteristic
854C4×C4⋊C4C2311yescharacteristic
855C4×C4⋊C4C2311yescharacteristic
856C4×C22⋊C4C2314yes—
857C4×C22⋊C4C2314yes—
858C4×C22⋊C4C2314yes—
859C4×C22⋊C4C2314yes—
860C4×C22⋊C4C2314yes—
861C4×C22⋊C4C2314yes—
862C4×C22⋊C4C2314yes—
863C4×C22⋊C4C2314yes—
864C4×C22⋊C4C2314yes—
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
883C4×C22⋊C4C2311yescharacteristic
884C4×C22⋊C4C2311yescharacteristic
885C4×C22⋊C4C2311yescharacteristic
886C4×C22⋊C4C2311yescharacteristic
887C4×C22⋊C4C2311yescharacteristic
888C4×C22⋊C4C2311yescharacteristic
889C4×C22⋊C4C2311yescharacteristic
890C4×C22⋊C4C2311yescharacteristic
891C4×C22⋊C4C2311yescharacteristic
892C4×C22⋊C4C2311yescharacteristic
893#376C2311yescharacteristic
894#376C2311yescharacteristic
895C43C2311yescharacteristic
896C43C2311yescharacteristic
897C25C2411yescharacteristic
898C2×#41—24no—
899C2×#41—28no—
900C2×#41—28no—
901C2×#41—24no—
902C2×#41—42no—
903C2×#41—44no—
904C2×#41—44no—
905C2×#41—44no—
906C2×#41—44no—
907C22×Q8C2412yes—
908C22×Q8C2412yes—
909C22×Q8C2412yes—
910C22×Q8C2411yescharacteristic
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2411yescharacteristic
915C22×D4C2411yescharacteristic
916C22×D4C2411yescharacteristic
917C22×D4C2411yescharacteristic
918C22×D4C2411yescharacteristic
919C22×D4C2411yescharacteristic
920C22×D4C2414yes—
921C22×D4C2414yes—
922C22×D4C2414yes—
923C22×D4C2414yes—
924C22×D4C2414yes—
925C22×D4C2411yescharacteristic
926C23×C4—24no—
927C23×C4—24no—
928C23×C4—24no—
929C23×C4—42no—
930C23×C4—42no—
931C23×C4—42no—
932C23×C4—42no—
933C23×C4—42no—
934C23×C4—42no—
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2411yescharacteristic
940C23×C4C2411yescharacteristic
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C23×C4C2411yescharacteristic
946C23×C4C2411yescharacteristic
947C23×C4C2411yescharacteristic
948C23×C4C2411yescharacteristic
949C23×C4C2411yescharacteristic
950C23×C4C2411yescharacteristic
951C23×C4C2411yescharacteristic
952C23×C4C2411yescharacteristic
953C23×C4C2414yes—
954C23×C4C2414yes—
955C23×C4C2414yes—
956C23×C4C2411yescharacteristic
957C23×C4C2411yescharacteristic
958C23×C4C2411yescharacteristic
959C23×C4C2414yes—
960C23×C4C2411yescharacteristic
961C23×C4C2411yescharacteristic
962C23×C4C2411yescharacteristic
963C4⋊Q8—28no—
964C4⋊Q8—24no—
965C4⋊Q8—24no—
966C4⋊Q8—24no—
967C4⋊Q8—44no—
968#127—24no—
969#126—48no—
970#126—48no—
971#125—44no—
972#125—44no—
973#125—44no—
974#125—44no—
975#125—48no—
976#125—48no—
977#124—44no—
978#124—44no—
979#124—44no—
980#124—44no—
981#123—24no—
982#123—24no—
983#123—216no—
984#123—216no—
985#123—48no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—24no—
991C22⋊Q8—24no—
992C22⋊Q8—48no—
993C22⋊Q8—44no—
994C22⋊Q8—44no—
995C22⋊Q8—44no—
996C22⋊Q8—44no—
997C22⋊Q8—44no—
998C22⋊Q8—44no—
999C22⋊Q8—44no—
1000C22⋊Q8—44no—
1001C22⋊Q8—44no—
1002#121—24no—
1003#121—216no—
1004#121—28no—
1005#121—28no—
1006#121—24no—
1007#121—48no—
1008#121—48no—
1009#121—48no—
1010#121—44no—
1011#121—44no—
1012#121—44no—
1013#121—44no—
1014#121—44no—
1015#121—44no—
1016#121—44no—
1017#121—44no—
1018#121—44no—
1019#121—44no—
1020#121—44no—
1021#120—24no—
1022#120—24no—
1023#120—48no—
1024C4×Q8—42no—
1025C4×Q8—42no—
1026C4×Q8—44no—
1027C4×Q8—44no—
1028C4×Q8—44no—
1029C4×Q8—44no—
1030C4×Q8—44no—
1031C4×Q8—44no—
1032C4×Q8—44no—
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—24no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—28no—
1039C4×D4—44no—
1040C4×D4—44no—
1041C4×D4—44no—
1042C4×D4—44no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—42no—
1046C4×D4—42no—
1047C4×D4—42no—
1048C4×D4—42no—
1049C4×D4—42no—
1050C4×D4—42no—
1051C4×D4—42no—
1052C4×D4—42no—
1053C4×D4—42no—
1054C4×D4—42no—
1055C4×D4—42no—
1056C4×D4—42no—
1057C4×D4—48no—
1058C4×D4—48no—
1059C4×D4#4118yes—
1060#117—24no—
1061#117—24no—
1062#117—42no—
1063#117—42no—
1064#117—42no—
1065#117—44no—
1066#117—44no—
1067#117—44no—
1068#117—44no—
1069#117—44no—
1070C2×C4⋊C4—216no—
1071C2×C4⋊C4—44no—
1072C2×C4⋊C4—44no—
1073C2×C4⋊C4—44no—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2411yescharacteristic
1209C2×C42—24no—
1210C2×C42—24no—
1211C2×C42—24no—
1212C2×C42—24no—
1213C2×C42—24no—
1214C2×C42—42no—
1215C2×C42—42no—
1216C2×C42—42no—
1217C2×C42—42no—
1218C2×C42—42no—
1219C2×C42—42no—
1220C2×C42—42no—
1221C2×C42—42no—
1222C2×C42—42no—
1223C2×C42C2411yescharacteristic
1224C2×C42C2411yescharacteristic
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2414yes—
1250C2×C42C2414yes—
1251C2×C42C2414yes—
1252C2×C42C2414yes—
1253C2×C42C2414yes—
1254C2×C42C2414yes—
1255C2×C42C2414yes—
1256C2×C42C2414yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264C2×C42C2411yescharacteristic
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2411yescharacteristic
1271#95C2411yescharacteristic
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2411yescharacteristic
1275#95C2411yescharacteristic
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2414yes—
1279#95C2411yescharacteristic
1280#95C2411yescharacteristic
1281#95C2411yescharacteristic
1282#95C2411yescharacteristic
1283#95C2411yescharacteristic
1284#95C2411yescharacteristic
1285#95C2414yes—
1286#95C2411yescharacteristic
1287#95C2411yescharacteristic
1288#95C2411yescharacteristic
1289#95C2411yescharacteristic
1290#95C2411yescharacteristic
1291#95C2411yescharacteristic
1292#95C2411yescharacteristic
1293#95C2411yescharacteristic
1294#95C2411yescharacteristic
1295#95C2411yescharacteristic
1296#95C2411yescharacteristic
1297#95C2411yescharacteristic
1298#95C2411yescharacteristic
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331C24—22no—
1332C24—22no—
1333C24—22no—
1334C24—41no—
1335C24—41no—
1336C24—41no—
1337C24—41no—
1338C24C2511yescharacteristic
1339C24C2514yes—
1340C24C2511yescharacteristic
1341C24C2511yescharacteristic
1342C24C2511yescharacteristic
1343C24C2511yescharacteristic
1344#41—416no—
1345#41—816no—
1346#41—816no—
1347C2×Q8—22no—
1348C2×Q8—24no—
1349C2×Q8—24no—
1350C2×Q8—24no—
1351C2×Q8—24no—
1352C2×Q8—24no—
1353C2×Q8—24no—
1354C2×Q8—24no—
1355C2×Q8—22no—
1356C2×Q8—24no—
1357C2×Q8—24no—
1358C2×Q8—41no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—28no—
1368C2×D4—28no—
1369C2×D4—28no—
1370C2×D4—28no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—22no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4C2×#4114yes—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—28no—
1455C22×C4—28no—
1456C22×C4—28no—
1457C22×C4—41no—
1458C22×C4—41no—
1459C22×C4—41no—
1460C22×C4—41no—
1461C22×C4—41no—
1462C22×C4—41no—
1463C22×C4—41no—
1464C22×C4—41no—
1465C22×C4—41no—
1466C22×C4—41no—
1467C22×C4—41no—
1468C22×C4—41no—
1469C22×C4—41no—
1470C22×C4—41no—
1471C22×C4—41no—
1472C22×C4—41no—
1473C22×C4—41no—
1474C22×C4—41no—
1475C22×C4—416no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—416no—
1486C22×C4—416no—
1487C22×C4C2×#4114yes—
1488C22×C4C2×#4114yes—
1489C22×C4H(5,𝔽2)14yes—
1490C22×C42−1+414yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C22×C4C2511yescharacteristic
1497C22×C4C2511yescharacteristic
1498C22×C4C2511yescharacteristic
1499C22×C4C2514yes—
1500C22×C4C2514yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2511yescharacteristic
1503C22×C4C2511yescharacteristic
1504C22×C4C2514yes—
1505C22×C4C2514yes—
1506C22×C4C2511yescharacteristic
1507C22×C4C2511yescharacteristic
1508C22×C4C2514yes—
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C22×C4C2514yes—
1512C22×C4C2514yes—
1513C22×C4C2511yescharacteristic
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C22×C4C2511yescharacteristic
1517C22×C4C2511yescharacteristic
1518C22×C4C2511yescharacteristic
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C4⋊C4—28no—
1525C4⋊C4—28no—
1526C4⋊C4—28no—
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—22no—
1532C4⋊C4—22no—
1533C4⋊C4—28no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—22no—
1537C4⋊C4—22no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—28no—
1545C4⋊C4—24no—
1546C4⋊C4—28no—
1547C4⋊C4—22no—
1548C4⋊C4—22no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—41no—
1561C4⋊C4—41no—
1562C4⋊C4—41no—
1563C4⋊C4—41no—
1564C4⋊C4—41no—
1565C4⋊C4—41no—
1566C4⋊C4—41no—
1567C4⋊C4—41no—
1568C4⋊C4—41no—
1569C4⋊C4—41no—
1570C4⋊C4—41no—
1571C4⋊C4—41no—
1572C4⋊C4—44no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—44no—
1576C4⋊C4—44no—
1577C4⋊C4—44no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4C2×#4114yes—
1591C22⋊C4—22no—
1592C22⋊C4—22no—
1593C22⋊C4—28no—
1594C22⋊C4—28no—
1595C22⋊C4—22no—
1596C22⋊C4—22no—
1597C22⋊C4—28no—
1598C22⋊C4—28no—
1599C22⋊C4—22no—
1600C22⋊C4—22no—
1601C22⋊C4—22no—
1602C22⋊C4—22no—
1603C22⋊C4—22no—
1604C22⋊C4—22no—
1605C22⋊C4—22no—
1606C22⋊C4—22no—
1607C22⋊C4—28no—
1608C22⋊C4—28no—
1609C22⋊C4—22no—
1610C22⋊C4—22no—
1611C22⋊C4—28no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—41no—
1615C22⋊C4—41no—
1616C22⋊C4—41no—
1617C22⋊C4—41no—
1618C22⋊C4—41no—
1619C22⋊C4—41no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—41no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—41no—
1627C22⋊C4—41no—
1628C22⋊C4—41no—
1629C22⋊C4—41no—
1630C22⋊C4—41no—
1631C22⋊C4—41no—
1632C22⋊C4—41no—
1633C22⋊C4—41no—
1634C22⋊C4—41no—
1635C22⋊C4—41no—
1636C22⋊C4—41no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4C2×#4114yes—
1658C22⋊C4C2×#4114yes—
1659C42—22no—
1660C42—22no—
1661C42—22no—
1662C42—22no—
1663C42—22no—
1664C42—22no—
1665C42—22no—
1666C42—22no—
1667C42—22no—
1668C42—22no—
1669C42—22no—
1670C42—22no—
1671C42—22no—
1672C42—22no—
1673C42—22no—
1674C42—22no—
1675C42—22no—
1676C42—22no—
1677C42—22no—
1678C42—22no—
1679C42—22no—
1680C42—22no—
1681C42—22no—
1682C42—22no—
1683C42—22no—
1684C42—22no—
1685C42—41no—
1686C42—41no—
1687C42—41no—
1688C42—41no—
1689C42—41no—
1690C42—41no—
1691C42—44no—
1692C42—44no—
1693C42—44no—
1694C42—44no—
1695C42—44no—
1696C42—44no—
1697C42—44no—
1698C42—44no—
1699C42C2×#4114yes—
1700C42H(5,𝔽2)14yes—
1701C23—21no—
1702C23—21no—
1703C23—21no—
1704C23—21no—
1705C23—21no—
1706C23—21no—
1707C23—21no—
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—21no—
1725C23—21no—
1726C23—24no—
1727C23—24no—
1728C23—21no—
1729C23—21no—
1730C23—24no—
1731C23—21no—
1732C23—24no—
1733C23—21no—
1734C23—24no—
1735C23—24no—
1736C23—24no—
1737C23—21no—
1738C23—21no—
1739C23—44no—
1740C23—44no—
1741C23—44no—
1742C23—44no—
1743C23—44no—
1744C23—44no—
1745C23—44no—
1746C23C22×#4112yes—
1747C23C22×#4112yes—
1748C23C2×H(5,𝔽2)12yes—
1749C23C2×2−1+412yes—
1750C23C2611yescharacteristic
1751Q8—44no—
1752Q8—48no—
1753Q8—48no—
1754Q8—48no—
1755D4—44no—
1756D4—44no—
1757D4—44no—
1758D4—44no—
1759D4—44no—
1760D4—44no—
1761D4—44no—
1762D4—48no—
1763D4—48no—
1764D4—48no—
1765D4—88no—
1766D4—88no—
1767D4—88no—
1768D4—88no—
1769D4—164no—
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—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—28no—
1783C2×C4—28no—
1784C2×C4—28no—
1785C2×C4—28no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—24no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—24no—
1792C2×C4—24no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—24no—
1809C2×C4—24no—
1810C2×C4—24no—
1811C2×C4—24no—
1812C2×C4—24no—
1813C2×C4—24no—
1814C2×C4—24no—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—24no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—24no—
1837C2×C4—24no—
1838C2×C4—24no—
1839C2×C4—24no—
1840C2×C4—24no—
1841C2×C4—24no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—24no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—24no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—24no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—44no—
1859C2×C4—44no—
1860C2×C4—44no—
1861C2×C4—44no—
1862C2×C4—44no—
1863C2×C4—44no—
1864C2×C4—44no—
1865C2×C4—44no—
1866C2×C4—44no—
1867C2×C4—44no—
1868C2×C4—44no—
1869C2×C4—44no—
1870C2×C4—44no—
1871C2×C4—44no—
1872C2×C4—44no—
1873C2×C4—44no—
1874C2×C4—44no—
1875C2×C4—44no—
1876C2×C4—44no—
1877C2×C4—44no—
1878C2×C4—88no—
1879C2×C4—88no—
1880C2×C4—88no—
1881C2×C4—164no—
1882C2×C4C22×#4112yes—
1883C2×C4C22×#4112yes—
1884C2×C4C22×#4112yes—
1885C2×C4C22×#4112yes—
1886C2×C4C22×#4112yes—
1887C2×C4C2×H(5,𝔽2)12yes—
1888C2×C4C2×H(5,𝔽2)12yes—
1889C2×C4C2×H(5,𝔽2)12yes—
1890C2×C4C2×H(5,𝔽2)12yes—
1891C2×C4C2×H(5,𝔽2)12yes—
1892C2×C4C2×2−1+412yes—
1893C2×C4C2×2−1+412yes—
1894C2×C4#58512yes—
1895C2×C4#58512yes—
1896C2×C4#58512yes—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—22no—
1907C22—22no—
1908C22—22no—
1909C22—416no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—41no—
1926C22—41no—
1927C22—44no—
1928C22—41no—
1929C22—44no—
1930C22—41no—
1931C22—44no—
1932C22—41no—
1933C22—44no—
1934C22—44no—
1935C22—41no—
1936C22—44no—
1937C22—41no—
1938C22—44no—
1939C22—41no—
1940C22C23×#4111yescharacteristic
1941C22C22×H(5,𝔽2)11yescharacteristic
1942C22C22×H(5,𝔽2)11yescharacteristic
1943C22C22×2−1+411yescharacteristic
1944C22C2×#58511yescharacteristic
1945C22C2×#58511yescharacteristic
1946C22C2×#58511yescharacteristic
1947C4—22no—
1948C4—22no—
1949C4—22no—
1950C4—22no—
1951C4—22no—
1952C4—22no—
1953C4—41no—
1954C4—41no—
1955C4—41no—
1956C4—41no—
1957C4—41no—
1958C4—41no—
1959C4—41no—
1960C4—41no—
1961C4—41no—
1962C4—44no—
1963C4—41no—
1964C4—41no—
1965C4—44no—
1966C4—44no—
1967C4—41no—
1968C4—44no—
1969C4—41no—
1970C4—41no—
1971C4—41no—
1972C4—44no—
1973C4—41no—
1974C4—41no—
1975C4—44no—
1976C4—44no—
1977C4#351914yes—
1978C4#353914yes—
1979C4#354114yes—
1980C2—42no—
1981C2—42no—
1982C2—42no—
1983C2—42no—
1984C2—81no—
1985C2—84no—
1986C2C2×#354111yescharacteristic
1987C2C2×#353911yescharacteristic
1988C2C2×#351911yescharacteristic
1989C2#6280511yescharacteristic
1990C2#6281511yescharacteristic
1991C2#6283511yescharacteristic
1992C2#6283611yescharacteristic
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. #59753C2semidirect
2. #59569C2semidirect
3. #59405C2semidirect
4. #59398C2semidirect
5. #45646C2semidirect
6. #45640C2semidirect
7. #45598C2semidirect
8. #45592C2semidirect
9. #40198C2semidirect
10. #40197C2semidirect
11. #39910C2semidirect
12. #39909C2semidirect
13. #39822C2semidirect
14. #39437C2semidirect
15. #39236C2semidirect
16. #39220C2semidirect
17. #39031C2semidirect
18. #39021C2semidirect
19. #37671C2semidirect
20. #37656C2semidirect
21. #37500C2semidirect
22. #37409C2semidirect
23. #37406C2semidirect
24. #36625C2semidirect
25. #36624C2semidirect
26. #36211C2semidirect
27. #36210C2semidirect
28. #36189C2semidirect
29. #36189C2semidirect
30. #36150C2semidirect
31. #36150C2semidirect
32. #36134C2semidirect
33. #36127C2semidirect
34. #35319C2semidirect
35. #35297C2semidirect
36. #35288C2semidirect
37. #35273C2semidirect
38. #34473C2semidirect
39. C4×#525C2semidirect
44. C2×#533C22semidirect
46. C2×#532C22semidirect
51. #2868C22semidirect
52. #2859C22semidirect
53. #2859C22semidirect
54. #2858C22semidirect
61. #2857C22semidirect
62. #2857C22semidirect
63. #2857C22semidirect
66. #2856C22semidirect
83. #2793C22semidirect
84. #2793C22semidirect
85. #2787C22semidirect
87. #2779C22semidirect
89. #2777C22semidirect
90. #2770C22semidirect
97. #2741C22semidirect
98. #2741C22semidirect
99. #2740C22semidirect
100. #2739C22semidirect
101. #2711C22semidirect
106. #2690C22semidirect
113. #2652C22semidirect
115. #2649C22semidirect
117. #2644C22semidirect
118. #2642C22semidirect
119. #2625C22semidirect
123. #2620C22semidirect
126. #2597C22semidirect
127. #2594C22semidirect
128. #2587C22semidirect
129. #2584C22semidirect
130. #2581C22semidirect
132. #2570C22semidirect
133. #2570C22semidirect
138. #2556C22semidirect
139. #2552C22semidirect
140. #2547C22semidirect
145. #2538C22semidirect
146. #2538C22semidirect
153. #2522C22semidirect
154. #2514C22semidirect
155. #2513C22semidirect
156. #2513C22semidirect
157. #2513C22semidirect
158. #2511C22semidirect
159. #2511C22semidirect
160. #2509C22semidirect
161. #2507C22semidirect
162. #2507C22semidirect
163. #2506C22semidirect
164. #2506C22semidirect
165. #2506C22semidirect
166. #2506C22semidirect
175. #2494C22semidirect
179. #2490C22semidirect
180. #2490C22semidirect
181. #2490C22semidirect
186. #2485C22semidirect
192. #2454C22semidirect
193. #2454C22semidirect
194. #2454C22semidirect
196. #2448C22semidirect
197. #2448C22semidirect
198. #2448C22semidirect
199. #2447C22semidirect
201. #2442C22semidirect
202. #2442C22semidirect
206. #2441C22semidirect
208. #2432C22semidirect
210. #2429C22semidirect
213. #2427C22semidirect
217. #2426C22semidirect
218. #2426C22semidirect
222. #2423C22semidirect
226. #2422C22semidirect
227. #2422C22semidirect
228. #2421C22semidirect
231. #2420C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
240. #2415C22semidirect
249. #2374C22semidirect
250. #2370C22semidirect
251. #2367C22semidirect
252. #2367C22semidirect
253. #2365C22semidirect
256. #2363C22semidirect
257. #2363C22semidirect
259. #2360C22semidirect
260. #2360C22semidirect
261. #2357C22semidirect
265. Q8×C4⋊C4C22semidirect
266. D4×C4⋊C4C22semidirect
267. D4×C4⋊C4C22semidirect
268. #2347C22semidirect
269. #2345C22semidirect
270. #2345C22semidirect
271. #2345C22semidirect
273. #2341C22semidirect
275. #2335C22semidirect
277. #2327C22semidirect
280. #2323C22semidirect
281. #2319C22semidirect
282. #2313C22semidirect
283. #2311C22semidirect
284. C4×C4⋊Q8C22semidirect
285. C4×C4⋊Q8C22semidirect
286. C4×C4⋊Q8C22semidirect
287. C4×#127C22semidirect
322. #2285C22semidirect
323. C2×#384C22semidirect

Maximal subgroups

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

subgroupindex
#597532
#595692
#594052
#593982
#456462
#456402
#455982
#455922
#401982
#401972
#399102
#399092
#398222
#394372
#392362
#392202
#390312
#390212
#376712
#376562
#375002
#374092
#374062
#366252
#366242
#362112
#362102
#361892
#361502
#361342
#361272
#353192
#352972
#352882
#352732
#344732
C4×#5252