Finite Group Databasebeta

← #8095639

Subgroups — #8095639

Order 512.

5565 conjugacy classes of subgroups.

The subgroup lattice has 1956 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53151C212yesmaximal, complemented
2#53137C212yesmaximal, complemented
3#53137C212yesmaximal, complemented
4#53136C212yesmaximal, complemented
5#53098C212yesmaximal, complemented
6#53078C212yesmaximal, complemented
7#53063C212yesmaximal, complemented
8#53053C212yesmaximal, complemented
9#52718C214yesmaximal, complemented
10#52372C214yesmaximal, complemented
11#46342C212yesmaximal, complemented
12#46342C212yesmaximal, complemented
13#46339C212yesmaximal, complemented
14#46333C212yesmaximal, complemented
15#45751C214yesmaximal, complemented
16#45716C212yesmaximal, complemented
17#45677C212yesmaximal, complemented
18#45663C212yesmaximal, complemented
19#45556C214yesmaximal, complemented
20#45515C212yesmaximal, complemented
21#35660C211yesmaximal, characteristic, complemented
22#35659C211yesmaximal, characteristic, complemented
23#35659C211yesmaximal, characteristic, complemented
24#35633C211yesmaximal, characteristic, complemented
25#35518C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35313C211yesmaximal, characteristic, complemented
28#35306C211yesmaximal, characteristic, complemented
29#35267C211yesmaximal, characteristic, complemented
30#35263C211yesmaximal, characteristic, complemented
31#35157C211yesmaximal, characteristic, complemented
32#35150C211yesmaximal, characteristic, complemented
33#34936C211yesmaximal, characteristic, complemented
34#34737C211yesmaximal, characteristic, complemented
35C2×#2415C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C2×#525C2211yescharacteristic
46C22×C22⋊Q8C2211yescharacteristic
47C22×C22⋊Q8C2211yescharacteristic
48C2×#520C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C22×#117C2211yescharacteristic
51C22×#117C2211yescharacteristic
52#2863C2212yescomplemented
53#2863C2212yescomplemented
54#2863C2212yescomplemented
55#2860C2212yescomplemented
56#2857C2212yescomplemented
57#2855C2212yescomplemented
58#2854C2214yes—
59#2854C2212yescomplemented
60#2853C2214yes—
61#2850C2212yescomplemented
62#2838C2214yescomplemented
63#2838C2214yescomplemented
64#2838C2214yescomplemented
65#2838C2214yescomplemented
66#2837C2214yescomplemented
67#2830C2214yes—
68#2830C2214yescomplemented
69#2829C2214yescomplemented
70#2828C2214yes—
71#2828C2214yescomplemented
72#2828C2214yescomplemented
73#2827C2214yescomplemented
74#2826C2214yes—
75#2826C2214yescomplemented
76#2825C2214yes—
77#2825C2214yescomplemented
78#2824C2214yes—
79#2824C2214yes—
80#2818C2214yes—
81#2813C2214yes—
82#2807C2214yescomplemented
83#2807C2214yescomplemented
84#2803C2214yescomplemented
85#2803C2214yescomplemented
86#2803C2214yescomplemented
87#2801C2214yescomplemented
88#2797C2214yes—
89#2797C2214yescomplemented
90#2797C2214yescomplemented
91#2796C2214yescomplemented
92#2796C2214yescomplemented
93#2796C2214yescomplemented
94#2792C2214yescomplemented
95#2792C2214yescomplemented
96#2790C2214yescomplemented
97#2780C2214yescomplemented
98#2778C2214yes—
99#2778C2214yescomplemented
100#2778C2214yescomplemented
101#2778C2214yescomplemented
102#2757C2214yescomplemented
103#2757C2214yescomplemented
104#2757C2214yescomplemented
105#2757C2214yescomplemented
106#2756C2214yescomplemented
107#2749C2214yescomplemented
108#2746C2214yescomplemented
109#2742C2214yescomplemented
110#2742C2214yescomplemented
111#2737C2214yes—
112#2737C2214yescomplemented
113#2737C2214yescomplemented
114#2737C2214yescomplemented
115#2709C2214yes—
116#2709C2214yes—
117#2705C2214yescomplemented
118#2703C2214yescomplemented
119#2691C2214yes—
120#2688C2214yes—
121#2673C2214yes—
122#2645C2212yescomplemented
123#2645C2212yescomplemented
124#2645C2212yescomplemented
125#2644C2212yescomplemented
126#2625C2212yescomplemented
127#2624C2212yescomplemented
128#2622C2214yes—
129#2621C2212yescomplemented
130#2620C2212yescomplemented
131#2617C2214yes—
132#2542C2211yescharacteristic
133#2542C2211yescharacteristic
134#2541C2211yescharacteristic
135#2541C2211yescharacteristic
136#2540C2211yescharacteristic
137#2540C2211yescharacteristic
138#2540C2211yescharacteristic
139#2540C2211yescharacteristic
140#2539C2212yes—
141#2539C2212yes—
142#2538C2212yescomplemented
143#2537C2212yescomplemented
144#2536C2212yescomplemented
145#2535C2212yescomplemented
146#2534C2214yes—
147#2514C2212yescomplemented
148#2514C2212yescomplemented
149#2511C2212yescomplemented
150#2511C2212yescomplemented
151#2510C2214yes—
152#2501C2212yes—
153#2500C2212yescomplemented
154#2500C2212yescomplemented
155#2499C2212yescomplemented
156#2499C2212yescomplemented
157#2498C2214yes—
158#2497C2212yescomplemented
159#2496C2212yescomplemented
160#2495C2212yescomplemented
161#2494C2212yescomplemented
162#2493C2214yes—
163#2493C2214yes—
164#2487C2212yescomplemented
165#2487C2212yescomplemented
166#2486C2214yes—
167#2486C2212yescomplemented
168#2486C2212yescomplemented
169#2485C2212yescomplemented
170#2485C2212yescomplemented
171#2485C2212yescomplemented
172#2485C2212yescomplemented
173#2485C2212yescomplemented
174#2485C2212yescomplemented
175#2485C2212yescomplemented
176#2485C2212yescomplemented
177#2481C2214yes—
178#2448C2212yescomplemented
179#2447C2212yescomplemented
180#2446C2212yescomplemented
181#2445C2212yescomplemented
182#2444C2214yes—
183#2443C2214yes—
184#2436C2212yescomplemented
185#2434C2212yescomplemented
186#2433C2212yes—
187#2432C2212yescomplemented
188#2431C2212yescomplemented
189#2430C2214yes—
190#2430C2214yes—
191#2429C2212yescomplemented
192#2429C2212yescomplemented
193#2427C2212yescomplemented
194#2427C2212yescomplemented
195#2425C2214yes—
196#2424C2214yes—
197#2417C2211yescharacteristic
198#2417C2211yescharacteristic
199#2417C2212yescomplemented
200#2417C2212yescomplemented
201#2417C2212yescomplemented
202#2417C2212yescomplemented
203#2417C2212yescomplemented
204#2416C2211yescharacteristic
205#2416C2211yescharacteristic
206#2416C2212yescomplemented
207#2415C2212yes—
208#2415C2211yescharacteristic
209#2415C2212yes—
210#2415C2212yes—
211#2415C2212yes—
212#2415C2212yes—
213#2415C2212yes—
214#2415C2212yes—
215#2415C2212yes—
216#2415C2211yescharacteristic
217#2415C2212yescomplemented
218#2415C2212yescomplemented
219#2415C2212yescomplemented
220#2415C2212yescomplemented
221#2415C2212yescomplemented
222#2415C2212yescomplemented
223#2415C2212yescomplemented
224#2415C2212yescomplemented
225#2415C2212yescomplemented
226#2414C2211yescharacteristic
227#2414C2211yescharacteristic
228#2414C2212yescomplemented
229#2414C2212yescomplemented
230#2414C2212yescomplemented
231#2414C2212yescomplemented
232#2414C2212yescomplemented
233#2413C2212yes—
234#2413C2214yes—
235#2412C2214yes—
236#2412C2214yes—
237#2412C2212yes—
238#2411C2212yes—
239#2410C2212yes—
240#2409C2212yescomplemented
241#2409C2212yescomplemented
242#2409C2212yescomplemented
243#2409C2212yescomplemented
244#2409C2212yescomplemented
245#2409C2212yescomplemented
246#2409C2212yescomplemented
247#2409C2212yescomplemented
248#2409C2212yescomplemented
249#2409C2212yescomplemented
250#2407C2212yescomplemented
251#2407C2212yescomplemented
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2407C2212yescomplemented
259#2407C2212yescomplemented
260#2406C2214yes—
261#2406C2214yes—
262#2404C2214yes—
263#2404C2214yes—
264#2397C2212yes—
265#2397C2212yes—
266#2392C2212yes—
267#2392C2212yes—
268C2×#397C2212yes—
269C2×#394C2212yes—
270#2383C2214yescomplemented
271#2377C2214yescomplemented
272#2376C2214yescomplemented
273#2376C2214yescomplemented
274#2317C2211yescharacteristic
275#2317C2211yescharacteristic
276#2316C2211yescharacteristic
277#2316C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282#2311C2211yescharacteristic
283#2311C2211yescharacteristic
284#2310C2211yescharacteristic
285#2310C2211yescharacteristic
286C4×#127C2212yes—
287C4×#127C2212yes—
288C4×#121C2212yes—
289C4×#121C2212yes—
290#2297C2211yescharacteristic
291#2296C2211yescharacteristic
292C2×#391C2211yescharacteristic
293C2×#389C2212yes—
294C2×#389C2211yescharacteristic
295C2×#388C2212yes—
296#2280C2211yescharacteristic
297C2×#380C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C2×2−1+4—44no—
300C2×2−1+4—44no—
301C2×2−1+4—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2314yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C23×Q8C2311yescharacteristic
309C23×Q8C2312yes—
310C23×Q8C2312yes—
311C23×D4C2311yescharacteristic
312C24×C4C2311yescharacteristic
313C24×C4C2311yescharacteristic
314#537—44no—
315#536—44no—
316#532—44no—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2311yescharacteristic
322C2×#126C2314yes—
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326#525—44no—
327#525—44no—
328#525—44no—
329#525—44no—
330#525—44no—
331#525—44no—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×C22⋊Q8—44no—
342C2×C22⋊Q8—44no—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2311yescharacteristic
366C2×C22⋊Q8C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2314yes—
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#121C2314yes—
373C2×#121C2311yescharacteristic
374C2×#121C2311yescharacteristic
375C2×#121C2311yescharacteristic
376C2×#121C2311yescharacteristic
377C2×#121C2311yescharacteristic
378C2×#121C2311yescharacteristic
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2311yescharacteristic
383C2×#121C2311yescharacteristic
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#120C2312yes—
388C2×#120C2312yes—
389C2×#120C2312yes—
390C2×#120C2312yes—
391C2×#120C2312yes—
392C2×#120C2312yes—
393#520—44no—
394C2×C4×Q8C2312yes—
395C2×C4×D4—44no—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×#117—44no—
421C2×#117—44no—
422C2×#117C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C2×#117C2311yescharacteristic
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2311yescharacteristic
430C2×#117C2311yescharacteristic
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2311yescharacteristic
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C22⋊C4C2312yes—
447C22×C22⋊C4C2312yes—
448C22×C22⋊C4C2312yes—
449C22×C22⋊C4C2312yes—
450C22×C22⋊C4C2311yescharacteristic
451C22×C22⋊C4C2312yes—
452C22×C22⋊C4C2311yescharacteristic
453C22×C42C2311yescharacteristic
454C22×C42C2312yes—
455C22×C42C2312yes—
456#401C2314yes—
457#401C2314yes—
458#401C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#399C2314yes—
471#399C2314yes—
472#399C2312yes—
473#399C2312yes—
474#399C2312yes—
475#399C2312yes—
476#399C2312yes—
477#399C2312yes—
478#399C2312yes—
479#399C2312yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2312yes—
486#398C2314yes—
487#398C2314yes—
488#398C2312yes—
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#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2312yes—
512#397C2314yes—
513#397C2314yes—
514#397C2312yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2312yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2312yes—
524#396C2312yes—
525#396C2312yes—
526#395C2314yes—
527#395C2314yes—
528#395C2314yes—
529#395C2314yes—
530#395C2314yes—
531#395C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2312yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2312yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2312yes—
561#394C2314yes—
562#394C2312yes—
563#394C2314yes—
564#394C2314yes—
565#394C2312yes—
566#394C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2314yes—
572#393C2314yes—
573#392C2312yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2312yes—
580#392C2312yes—
581#392C2312yes—
582#392C2314yes—
583#392C2312yes—
584#392C2314yes—
585#392C2312yes—
586#392C2314yes—
587#392C2312yes—
588#392C2312yes—
589#392C2312yes—
590#392C2312yes—
591#392C2314yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#391C2311yescharacteristic
608#391C2312yes—
609#391C2311yescharacteristic
610#391C2312yes—
611#391C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2314yes—
631#390C2312yes—
632#390C2314yes—
633#390C2314yes—
634#390C2311yescharacteristic
635#390C2311yescharacteristic
636#390C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2312yes—
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2312yes—
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2314yes—
669#389C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2312yes—
694#388C2314yes—
695#388C2312yes—
696#388C2312yes—
697#388C2314yes—
698#388C2314yes—
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#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2312yes—
742#386C2314yes—
743#386C2314yes—
744#386C2312yes—
745#386C2312yes—
746#386C2312yes—
747#386C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2312yes—
765#385C2312yes—
766#384C2312yes—
767#384C2312yes—
768#384C2312yes—
769#384C2312yes—
770#383C2314yes—
771#383C2314yes—
772#383C2314yes—
773#382C2312yes—
774#382C2312yes—
775#381C2314yes—
776#381C2314yes—
777#381C2312yes—
778#381C2314yes—
779#381C2314yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2314yes—
793#380C2314yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2312yes—
798#380C2312yes—
799#380C2314yes—
800#380C2314yes—
801#380C2314yes—
802#380C2312yes—
803#380C2311yescharacteristic
804#380C2311yescharacteristic
805#380C2312yes—
806#380C2312yes—
807#380C2311yescharacteristic
808#380C2311yescharacteristic
809#379C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822#376C2312yes—
823C2×#95C2312yes—
824C2×#95C2312yes—
825C2×#95C2312yes—
826C2×#95C2312yes—
827C43C2312yes—
828C25C2411yescharacteristic
829C25C2411yescharacteristic
8302−1+4—464no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—48no—
841C2×#41—48no—
842C2×#41—48no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—44no—
847C2×#41—44no—
848C2×#41—44no—
849C22×Q8—24no—
850C22×Q8—24no—
851C22×Q8—24no—
852C22×Q8—44no—
853C22×Q8—44no—
854C22×Q8—44no—
855C22×Q8—44no—
856C22×Q8—44no—
857C22×Q8—44no—
858C22×Q8C2411yescharacteristic
859C22×Q8C2412yes—
860C22×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2414yes—
864C22×D4—42no—
865C22×D4—42no—
866C22×D4—42no—
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2411yescharacteristic
873C22×D4C2411yescharacteristic
874C22×D4C2411yescharacteristic
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C23×C4—24no—
894C23×C4—24no—
895C23×C4—24no—
896C23×C4—24no—
897C23×C4—24no—
898C23×C4—24no—
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2414yes—
921C23×C4C2414yes—
922C23×C4C2414yes—
923C23×C4C2411yescharacteristic
924C4⋊Q8—42no—
925C4⋊Q8—44no—
926#127—44no—
927#127—42no—
928#127—44no—
929#126—48no—
930#124—42no—
931#124—42no—
932#124—44no—
933#123—48no—
934#123—44no—
935#123—44no—
936#123—44no—
937#123—44no—
938#123—44no—
939#123—44no—
940#123—48no—
941#123—48no—
942C22⋊Q8—44no—
943C22⋊Q8—44no—
944C22⋊Q8—44no—
945C22⋊Q8—44no—
946C22⋊Q8—44no—
947C22⋊Q8—44no—
948C22⋊Q8—44no—
949C22⋊Q8—44no—
950C22⋊Q8—42no—
951C22⋊Q8—42no—
952C22⋊Q8—42no—
953C22⋊Q8—42no—
954C22⋊Q8—42no—
955C22⋊Q8—42no—
956C22⋊Q8—42no—
957C22⋊Q8—42no—
958C22⋊Q8—42no—
959C22⋊Q8—42no—
960C22⋊Q8—42no—
961C22⋊Q8—42no—
962C22⋊Q8—44no—
963C22⋊Q8—44no—
964C22⋊Q8—44no—
965C22⋊Q8—44no—
966#121—44no—
967#121—48no—
968#121—42no—
969#121—42no—
970#121—42no—
971#121—42no—
972#121—42no—
973#121—42no—
974#121—42no—
975#121—42no—
976#121—42no—
977#121—42no—
978#121—42no—
979#121—42no—
980#121—44no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—44no—
985#121—48no—
986#120—44no—
987#120—44no—
988#120—44no—
989#120—44no—
990#120—44no—
991#120—44no—
992C4×Q8—44no—
993C4×D4—44no—
994C4×D4—42no—
995C4×D4—42no—
996C4×D4—42no—
997C4×D4—42no—
998C4×D4—42no—
999C4×D4—42no—
1000C4×D4—42no—
1001C4×D4—42no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—48no—
1017#117—24no—
1018#117—24no—
1019#117—24no—
1020#117—24no—
1021#117—24no—
1022#117—44no—
1023#117—44no—
1024#117—44no—
1025#117—44no—
1026#117—44no—
1027#117—44no—
1028#117—42no—
1029#117—42no—
1030#117—44no—
1031C2×C4⋊C4—24no—
1032C2×C4⋊C4—24no—
1033C2×C4⋊C4—24no—
1034C2×C4⋊C4—44no—
1035C2×C4⋊C4—42no—
1036C2×C4⋊C4—42no—
1037C2×C4⋊C4—44no—
1038C2×C4⋊C4—42no—
1039C2×C4⋊C4—44no—
1040C2×C4⋊C4—44no—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C22⋊C4—44no—
1100C2×C22⋊C4—44no—
1101C2×C22⋊C4—44no—
1102C2×C22⋊C4—42no—
1103C2×C22⋊C4—42no—
1104C2×C22⋊C4—44no—
1105C2×C22⋊C4—44no—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C42—24no—
1183C2×C42—44no—
1184C2×C42—44no—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2412yes—
1197C2×C42C2414yes—
1198C2×C42C2414yes—
1199C2×C42C2414yes—
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—41no—
1267C24—41no—
1268C24—41no—
1269C24C2511yescharacteristic
1270C24C2511yescharacteristic
1271C24C2511yescharacteristic
1272C24C2512yes—
1273C24C2512yes—
1274C24C2512yes—
1275C24C2511yescharacteristic
1276C24C2511yescharacteristic
1277#41—464no—
1278#41—432no—
1279#41—432no—
1280#41—416no—
1281#41—416no—
1282#41—416no—
1283C2×Q8—22no—
1284C2×Q8—22no—
1285C2×Q8—22no—
1286C2×Q8—24no—
1287C2×Q8—24no—
1288C2×Q8—24no—
1289C2×Q8—24no—
1290C2×Q8—24no—
1291C2×Q8—22no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—24no—
1297C2×Q8—22no—
1298C2×Q8—44no—
1299C2×Q8—44no—
1300C2×Q8—44no—
1301C2×Q8—432no—
1302C2×Q8—432no—
1303C2×Q8—416no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—24no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—416no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—24no—
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—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—24no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—24no—
1431C22×C4—22no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—41no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—416no—
1456C22×C4—416no—
1457C22×C4H(5,𝔽2)14yes—
1458C22×C4H(5,𝔽2)14yes—
1459C22×C4H(5,𝔽2)14yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2512yes—
1469C22×C4C2514yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2512yes—
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2514yes—
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2514yes—
1478C22×C4C2514yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C22×C4C2512yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—28no—
1504C4⋊C4—24no—
1505C4⋊C4—44no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—41no—
1509C4⋊C4—41no—
1510C4⋊C4—41no—
1511C4⋊C4—41no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—42no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—44no—
1537C4⋊C4—42no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—44no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—41no—
1558C22⋊C4—41no—
1559C22⋊C4—41no—
1560C22⋊C4—41no—
1561C22⋊C4—41no—
1562C22⋊C4—41no—
1563C22⋊C4—41no—
1564C22⋊C4—41no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4—44no—
1571C22⋊C4—42no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C42—22no—
1622C42—22no—
1623C42—22no—
1624C42—22no—
1625C42—24no—
1626C42—24no—
1627C42—24no—
1628C42—24no—
1629C42—24no—
1630C42—24no—
1631C42—42no—
1632C42—42no—
1633C42—44no—
1634C42—44no—
1635C42—42no—
1636C42—42no—
1637C42—44no—
1638C42—42no—
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—22no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—21no—
1671C23—22no—
1672C23—22no—
1673C23—21no—
1674C23—21no—
1675C23—22no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—21no—
1684C23—21no—
1685C23—22no—
1686C23—22no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—44no—
1692C23—44no—
1693C23—44no—
1694C23—44no—
1695C23—44no—
1696C23—44no—
1697C23—44no—
1698C23—82no—
1699C23—82no—
1700C23—82no—
1701C23—82no—
1702C23—82no—
1703C23—82no—
1704C23—82no—
1705C23C2×H(5,𝔽2)12yes—
1706C23C2×H(5,𝔽2)12yes—
1707C23C2×H(5,𝔽2)12yes—
1708C23#58512yes—
1709C23C2611yescharacteristic
1710Q8—416no—
1711Q8—48no—
1712Q8—44no—
1713Q8—48no—
1714Q8—44no—
1715Q8—44no—
1716D4—44no—
1717D4—44no—
1718D4—44no—
1719D4—44no—
1720D4—416no—
1721D4—48no—
1722D4—48no—
1723D4—48no—
1724D4—44no—
1725D4—44no—
1726D4—44no—
1727D4—84no—
1728D4—84no—
1729D4—84no—
1730D4—84no—
1731D4—84no—
1732D4—84no—
1733D4—84no—
1734D4—84no—
1735D4—84no—
1736D4—84no—
1737D4—84no—
1738D4—84no—
1739D4—84no—
1740D4—84no—
1741D4—164no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—24no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—24no—
1782C2×C4—24no—
1783C2×C4—24no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—24no—
1789C2×C4—24no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—22no—
1815C2×C4—21no—
1816C2×C4—44no—
1817C2×C4—48no—
1818C2×C4—416no—
1819C2×C4—416no—
1820C2×C4—44no—
1821C2×C4—44no—
1822C2×C4—48no—
1823C2×C4—44no—
1824C2×C4—44no—
1825C2×C4—44no—
1826C2×C4—44no—
1827C2×C4—44no—
1828C2×C4—44no—
1829C2×C4—44no—
1830C2×C4—44no—
1831C2×C4—48no—
1832C2×C4—48no—
1833C2×C4—48no—
1834C2×C4—84no—
1835C2×C4—82no—
1836C2×C4—84no—
1837C2×C4—84no—
1838C2×C4—84no—
1839C2×C4—164no—
1840C2×C4#560116yes—
1841C2×C4C2×H(5,𝔽2)12yes—
1842C2×C4C2×H(5,𝔽2)12yes—
1843C2×C4C2×H(5,𝔽2)12yes—
1844C2×C4C2×H(5,𝔽2)12yes—
1845C2×C4C2×H(5,𝔽2)12yes—
1846C2×C4C2×H(5,𝔽2)12yes—
1847C2×C4#58512yes—
1848C22—22no—
1849C22—22no—
1850C22—22no—
1851C22—22no—
1852C22—22no—
1853C22—22no—
1854C22—22no—
1855C22—22no—
1856C22—22no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—42no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—42no—
1866C22—42no—
1867C22—41no—
1868C22—42no—
1869C22—42no—
1870C22—42no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—42no—
1876C22—42no—
1877C22—42no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—42no—
1882C22—42no—
1883C22—42no—
1884C22—41no—
1885C22—42no—
1886C22—42no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—42no—
1891C22—41no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—88no—
1904C22—88no—
1905C22C2×#56014yes—
1906C22C22×H(5,𝔽2)11yescharacteristic
1907C22C22×H(5,𝔽2)11yescharacteristic
1908C22C22×H(5,𝔽2)11yescharacteristic
1909C22C2×#58511yescharacteristic
1910C22C2×#58511yescharacteristic
1911C222−1+611yescharacteristic
1912C222−1+611yescharacteristic
1913C4—22no—
1914C4—41no—
1915C4—44no—
1916C4—42no—
1917C4—41no—
1918C4—41no—
1919C4—42no—
1920C4—44no—
1921C4—42no—
1922C4—42no—
1923C4—42no—
1924C4—42no—
1925C4—41no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—42no—
1930C4—42no—
1931C4—44no—
1932C4—42no—
1933C4—44no—
1934C4—42no—
1935C4—42no—
1936C4—42no—
1937C4—42no—
1938C4C2×#56014yes—
1939C4C2×#56014yes—
1940C2—24no—
1941C2—42no—
1942C2—82no—
1943C2—82no—
1944C2—82no—
1945C2—81no—
1946C2—81no—
1947C2—81no—
1948C2C22×#56011yescharacteristic
1949C2#6282111yescharacteristic
1950C2#6288611yescharacteristic
1951C2#6292511yescharacteristic
1952C2#6292711yescharacteristic
1953C2#6295411yescharacteristic
1954C2#6296011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53151C2semidirect
2. #53137C2semidirect
3. #53137C2semidirect
4. #53136C2semidirect
5. #53098C2semidirect
6. #53078C2semidirect
7. #53063C2semidirect
8. #53053C2semidirect
9. #52718C2semidirect
10. #52372C2semidirect
11. #46342C2semidirect
12. #46342C2semidirect
13. #46339C2semidirect
14. #46333C2semidirect
15. #45751C2semidirect
16. #45716C2semidirect
17. #45677C2semidirect
18. #45663C2semidirect
19. #45556C2semidirect
20. #45515C2semidirect
21. #35660C2semidirect
22. #35659C2semidirect
23. #35659C2semidirect
24. #35633C2semidirect
25. #35518C2semidirect
26. #35517C2semidirect
27. #35313C2semidirect
28. #35306C2semidirect
29. #35267C2semidirect
30. #35263C2semidirect
31. #35157C2semidirect
32. #35150C2semidirect
33. #34936C2semidirect
34. #34737C2semidirect
35. C2×#2415C2semidirect
52. #2863C22semidirect
53. #2863C22semidirect
54. #2863C22semidirect
55. #2860C22semidirect
56. #2857C22semidirect
57. #2855C22semidirect
59. #2854C22semidirect
61. #2850C22semidirect
62. #2838C22semidirect
63. #2838C22semidirect
64. #2838C22semidirect
65. #2838C22semidirect
66. #2837C22semidirect
68. #2830C22semidirect
69. #2829C22semidirect
71. #2828C22semidirect
72. #2828C22semidirect
73. #2827C22semidirect
75. #2826C22semidirect
77. #2825C22semidirect
82. #2807C22semidirect
83. #2807C22semidirect
84. #2803C22semidirect
85. #2803C22semidirect
86. #2803C22semidirect
87. #2801C22semidirect
89. #2797C22semidirect
90. #2797C22semidirect
91. #2796C22semidirect
92. #2796C22semidirect
93. #2796C22semidirect
94. #2792C22semidirect
95. #2792C22semidirect
96. #2790C22semidirect
97. #2780C22semidirect
99. #2778C22semidirect
100. #2778C22semidirect
101. #2778C22semidirect
102. #2757C22semidirect
103. #2757C22semidirect
104. #2757C22semidirect
105. #2757C22semidirect
106. #2756C22semidirect
107. #2749C22semidirect
108. #2746C22semidirect
109. #2742C22semidirect
110. #2742C22semidirect
112. #2737C22semidirect
113. #2737C22semidirect
114. #2737C22semidirect
117. #2705C22semidirect
118. #2703C22semidirect
122. #2645C22semidirect
123. #2645C22semidirect
124. #2645C22semidirect
125. #2644C22semidirect
126. #2625C22semidirect
127. #2624C22semidirect
129. #2621C22semidirect
130. #2620C22semidirect
142. #2538C22semidirect
143. #2537C22semidirect
144. #2536C22semidirect
145. #2535C22semidirect
147. #2514C22semidirect
148. #2514C22semidirect
149. #2511C22semidirect
150. #2511C22semidirect
153. #2500C22semidirect
154. #2500C22semidirect
155. #2499C22semidirect
156. #2499C22semidirect
158. #2497C22semidirect
159. #2496C22semidirect
160. #2495C22semidirect
161. #2494C22semidirect
164. #2487C22semidirect
165. #2487C22semidirect
167. #2486C22semidirect
168. #2486C22semidirect
169. #2485C22semidirect
170. #2485C22semidirect
171. #2485C22semidirect
172. #2485C22semidirect
173. #2485C22semidirect
174. #2485C22semidirect
175. #2485C22semidirect
176. #2485C22semidirect
178. #2448C22semidirect
179. #2447C22semidirect
180. #2446C22semidirect
181. #2445C22semidirect
184. #2436C22semidirect
185. #2434C22semidirect
187. #2432C22semidirect
188. #2431C22semidirect
191. #2429C22semidirect
192. #2429C22semidirect
193. #2427C22semidirect
194. #2427C22semidirect
199. #2417C22semidirect
200. #2417C22semidirect
201. #2417C22semidirect
202. #2417C22semidirect
203. #2417C22semidirect
206. #2416C22semidirect
217. #2415C22semidirect
218. #2415C22semidirect
219. #2415C22semidirect
220. #2415C22semidirect
221. #2415C22semidirect
222. #2415C22semidirect
223. #2415C22semidirect
224. #2415C22semidirect
225. #2415C22semidirect
228. #2414C22semidirect
229. #2414C22semidirect
230. #2414C22semidirect
231. #2414C22semidirect
232. #2414C22semidirect
240. #2409C22semidirect
241. #2409C22semidirect
242. #2409C22semidirect
243. #2409C22semidirect
244. #2409C22semidirect
245. #2409C22semidirect
246. #2409C22semidirect
247. #2409C22semidirect
248. #2409C22semidirect
249. #2409C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2407C22semidirect
259. #2407C22semidirect
270. #2383C22semidirect
271. #2377C22semidirect
272. #2376C22semidirect
273. #2376C22semidirect

Maximal subgroups

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

subgroupindex
#531512
#531372
#531362
#530982
#530782
#530632
#530532
#527182
#523722
#463422
#463392
#463332
#457512
#457162
#456772
#456632
#455562
#455152
#356602
#356592
#356332
#355182
#355172
#353132
#353062
#352672
#352632
#351572
#351502
#349362
#347372
C2×#24152