Finite Group Databasebeta

← #8095279

Subgroups — #8095279

Order 512.

5743 conjugacy classes of subgroups.

The subgroup lattice has 1989 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53151C212yesmaximal, complemented
2#53096C212yesmaximal, complemented
3#53051C212yesmaximal, complemented
4#53045C212yesmaximal, complemented
5#53044C212yesmaximal, complemented
6#53014C212yesmaximal, complemented
7#52981C212yesmaximal, complemented
8#52957C212yesmaximal, complemented
9#52529C214yesmaximal, complemented
10#52472C214yesmaximal, complemented
11#46040C214yesmaximal, complemented
12#46038C214yesmaximal, complemented
13#45655C212yesmaximal, complemented
14#45646C212yesmaximal, complemented
15#45623C212yesmaximal, complemented
16#45608C212yesmaximal, complemented
17#45600C212yesmaximal, complemented
18#45515C212yesmaximal, complemented
19#45497C212yesmaximal, complemented
20#45493C212yesmaximal, complemented
21#35564C211yesmaximal, characteristic, complemented
22#35564C211yesmaximal, characteristic, complemented
23#35530C211yesmaximal, characteristic, complemented
24#35518C211yesmaximal, characteristic, complemented
25#35518C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35273C211yesmaximal, characteristic, complemented
28#35255C211yesmaximal, characteristic, complemented
29#35251C211yesmaximal, characteristic, complemented
30#35251C211yesmaximal, characteristic, complemented
31#35166C211yesmaximal, characteristic, complemented
32#35160C211yesmaximal, characteristic, complemented
33C2×#2497C211yesmaximal, characteristic, complemented
34#34743C211yesmaximal, characteristic, complemented
35#34738C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#537C2211yescharacteristic
41C2×#537C2211yescharacteristic, complemented
42C2×#537C2211yescharacteristic, complemented
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic, complemented
46C2×#525C2211yescharacteristic
47C2×#525C2211yescharacteristic
48C2×#525C2211yescharacteristic
49C2×#520C2211yescharacteristic, complemented
50C2×#520C2211yescharacteristic, complemented
51C2×C4×#41C2211yescharacteristic, complemented
52#2857C2212yescomplemented
53#2856C2212yescomplemented
54#2856C2214yescomplemented
55#2855C2212yescomplemented
56#2854C2212yescomplemented
57#2852C2214yescomplemented
58#2848C2212yes—
59#2848C2212yes—
60#2847C2212yes—
61#2847C2212yes—
62#2842C2214yes—
63#2841C2214yescomplemented
64#2838C2214yescomplemented
65#2837C2214yescomplemented
66#2830C2214yescomplemented
67#2829C2214yescomplemented
68#2829C2214yescomplemented
69#2829C2214yescomplemented
70#2829C2214yescomplemented
71#2829C2214yescomplemented
72#2828C2214yescomplemented
73#2828C2214yescomplemented
74#2827C2214yescomplemented
75#2826C2214yescomplemented
76#2825C2214yes—
77#2824C2214yescomplemented
78#2813C2214yescomplemented
79#2813C2214yescomplemented
80#2813C2214yescomplemented
81#2813C2214yescomplemented
82#2807C2214yescomplemented
83#2803C2214yescomplemented
84#2803C2214yescomplemented
85#2801C2214yescomplemented
86#2797C2214yes—
87#2797C2214yescomplemented
88#2796C2214yescomplemented
89#2795C2214yescomplemented
90#2792C2214yescomplemented
91#2790C2214yes—
92#2790C2214yescomplemented
93#2784C2214yescomplemented
94#2780C2214yes—
95#2780C2214yes—
96#2780C2214yes—
97#2780C2214yescomplemented
98#2778C2214yescomplemented
99#2757C2214yescomplemented
100#2756C2214yescomplemented
101#2749C2214yes—
102#2748C2214yescomplemented
103#2742C2214yescomplemented
104#2737C2214yescomplemented
105#2714C2214yescomplemented
106#2709C2214yescomplemented
107#2705C2214yescomplemented
108#2703C2214yescomplemented
109#2699C2214yescomplemented
110#2697C2214yes—
111#2693C2214yescomplemented
112#2691C2214yescomplemented
113#2688C2214yescomplemented
114#2685C2214yes—
115#2678C2214yes—
116#2678C2214yes—
117#2678C2214yes—
118#2675C2214yescomplemented
119#2673C2214yescomplemented
120#2673C2214yescomplemented
121#2669C2214yes—
122#2656C2214yescomplemented
123#2643C2214yescomplemented
124#2625C2212yescomplemented
125#2624C2212yescomplemented
126#2620C2212yescomplemented
127#2620C2212yescomplemented
128#2616C2212yes—
129#2616C2212yes—
130#2615C2212yes—
131#2615C2212yes—
132#2543C2214yescomplemented
133#2543C2214yescomplemented
134#2542C2212yescomplemented
135#2542C2212yescomplemented
136#2541C2212yescomplemented
137#2541C2212yescomplemented
138#2540C2212yescomplemented
139#2540C2212yescomplemented
140#2540C2212yescomplemented
141#2540C2212yescomplemented
142#2538C2212yes—
143#2538C2212yes—
144#2538C2212yescomplemented
145#2538C2212yescomplemented
146#2537C2212yescomplemented
147#2537C2212yescomplemented
148#2537C2212yescomplemented
149#2537C2212yescomplemented
150#2536C2212yescomplemented
151#2536C2212yescomplemented
152#2535C2212yes—
153#2535C2212yes—
154#2514C2212yescomplemented
155#2513C2212yescomplemented
156#2512C2212yescomplemented
157#2511C2212yescomplemented
158#2502C2212yescomplemented
159#2501C2212yescomplemented
160#2500C2212yescomplemented
161#2499C2212yescomplemented
162#2497C2212yes—
163#2497C2212yes—
164#2497C2212yes—
165#2497C2212yes—
166#2497C2212yescomplemented
167#2497C2212yescomplemented
168#2497C2212yescomplemented
169#2497C2212yescomplemented
170#2497C2212yescomplemented
171#2496C2212yescomplemented
172#2495C2212yescomplemented
173#2494C2212yescomplemented
174#2487C2212yescomplemented
175#2486C2212yescomplemented
176#2485C2212yescomplemented
177#2485C2212yescomplemented
178#2448C2212yescomplemented
179#2447C2212yescomplemented
180#2446C2212yescomplemented
181#2445C2212yescomplemented
182#2444C2214yescomplemented
183#2444C2214yescomplemented
184#2443C2214yescomplemented
185#2443C2214yescomplemented
186#2443C2214yescomplemented
187#2443C2214yescomplemented
188#2436C2211yescharacteristic
189#2435C2211yescharacteristic
190#2434C2211yescharacteristic
191#2433C2211yescharacteristic
192#2432C2211yescharacteristic
193#2432C2211yescharacteristic
194#2431C2211yescharacteristic
195#2431C2211yescharacteristic
196#2430C2212yes—
197#2430C2214yes—
198#2430C2214yes—
199#2430C2212yes—
200#2429C2211yescharacteristic
201#2429C2211yescharacteristic, complemented
202#2429C2212yescomplemented
203#2429C2212yescomplemented
204#2428C2211yescharacteristic
205#2428C2212yescomplemented
206#2428C2212yescomplemented
207#2428C2211yescharacteristic, complemented
208#2427C2211yescharacteristic
209#2427C2211yescharacteristic, complemented
210#2427C2212yescomplemented
211#2427C2212yescomplemented
212#2426C2211yescharacteristic
213#2426C2212yescomplemented
214#2426C2211yescharacteristic, complemented
215#2426C2212yescomplemented
216#2425C2212yescomplemented
217#2425C2214yescomplemented
218#2425C2214yescomplemented
219#2425C2212yescomplemented
220#2424C2212yes—
221#2424C2212yes—
222#2424C2214yes—
223#2424C2214yes—
224#2423C2212yescomplemented
225#2423C2212yescomplemented
226#2423C2212yescomplemented
227#2422C2212yescomplemented
228#2422C2212yescomplemented
229#2422C2212yescomplemented
230#2421C2212yescomplemented
231#2420C2212yescomplemented
232#2417C2212yes—
233#2417C2212yes—
234#2417C2212yescomplemented
235#2417C2212yescomplemented
236#2416C2212yescomplemented
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2416C2214yescomplemented
240#2416C2214yescomplemented
241#2416C2212yescomplemented
242#2416C2214yescomplemented
243#2416C2214yescomplemented
244#2415C2212yescomplemented
245#2415C2212yescomplemented
246#2415C2212yescomplemented
247#2415C2212yescomplemented
248#2414C2212yes—
249#2414C2212yes—
250#2414C2212yescomplemented
251#2414C2212yescomplemented
252#2410C2212yes—
253#2410C2212yes—
254#2410C2214yes—
255#2410C2214yes—
256#2409C2212yes—
257#2409C2212yes—
258#2408C2212yes—
259#2408C2212yes—
260#2407C2212yes—
261#2407C2212yes—
262#2407C2212yes—
263#2407C2212yes—
264C2×#400C2212yescomplemented
265#2392C2212yes—
266#2392C2212yescomplemented
267C2×#396C2212yes—
268#2388C2212yes—
269#2388C2212yes—
270#2377C2214yes—
271#2377C2214yescomplemented
272#2376C2214yescomplemented
273#2375C2214yes—
274#2317C2211yescharacteristic, complemented
275#2317C2211yescharacteristic, complemented
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic, complemented
281#2311C2211yescharacteristic, complemented
282C4×#121C2212yes—
283C4×#121C2212yescomplemented
284C4×#120C2212yes—
285C4×#120C2212yes—
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic, complemented
289#2296C2211yescharacteristic, complemented
290C2×#389C2211yescharacteristic, complemented
291C2×#389C2211yescharacteristic, complemented
292C2×#388C2212yes—
293C2×#387C2212yescomplemented
294C2×#384C2211yescharacteristic, complemented
295C2×#380C2211yescharacteristic
296C2×#380C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—44no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2311yescharacteristic
307C22×#41C2312yes—
308C22×#41C2311yescharacteristic
309C22×#41C2311yescharacteristic
310C22×#41C2312yes—
311C23×Q8C2311yescharacteristic
312C23×D4C2311yescharacteristic
313C23×D4C2312yes—
314C24×C4C2311yescharacteristic
315C24×C4C2312yes—
316#537—44no—
317#537—44no—
318#537—44no—
319#537—44no—
320#537—44no—
321#537—44no—
322#532—44no—
323#532—44no—
324#532—44no—
325C2×C4⋊Q8C2311yescharacteristic
326C2×C4⋊Q8C2311yescharacteristic
327C2×C4⋊Q8C2311yescharacteristic
328C2×#127C2311yescharacteristic
329C2×#127C2311yescharacteristic
330C2×#127C2311yescharacteristic
331C2×#127C2314yes—
332C2×#126C2314yes—
333C2×#124C2311yescharacteristic
334C2×#124C2311yescharacteristic
335C2×#124C2311yescharacteristic
336C2×#124C2311yescharacteristic
337C2×#124C2311yescharacteristic
338C2×#124C2311yescharacteristic
339#525—44no—
340#525—44no—
341#525—44no—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2311yescharacteristic
384C2×#121C2311yescharacteristic
385C2×#121C2314yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2311yescharacteristic
395C2×#121C2311yescharacteristic
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#120C2312yes—
406C2×#120C2312yes—
407C2×#120C2312yes—
408C2×#120C2312yes—
409C2×#120C2312yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412#520—44no—
413#520—44no—
414C4×#41—44no—
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2311yescharacteristic
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2314yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×#117C2311yescharacteristic
440C2×#117C2311yescharacteristic
441C2×#117C2311yescharacteristic
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2312yes—
455C22×C22⋊C4C2311yescharacteristic
456C22×C22⋊C4C2311yescharacteristic
457C22×C22⋊C4C2312yes—
458C22×C22⋊C4C2312yes—
459C22×C42C2311yescharacteristic
460C22×C42C2311yescharacteristic
461C22×C42C2312yes—
462C22×C42C2312yes—
463#401C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#400C2314yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#399C2314yes—
477#399C2314yes—
478#399C2314yes—
479#399C2314yes—
480#399C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2312yes—
488#398C2314yes—
489#398C2314yes—
490#398C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2312yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2312yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2312yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2312yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2312yes—
522#396C2314yes—
523#396C2312yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#395C2314yes—
530#395C2314yes—
531#395C2312yes—
532#395C2312yes—
533#394C2312yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2312yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2312yes—
555#394C2312yes—
556#394C2312yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2312yes—
567#394C2312yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2314yes—
573#393C2312yes—
574#393C2314yes—
575#393C2314yes—
576#393C2312yes—
577#392C2314yes—
578#392C2312yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2312yes—
583#392C2312yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2312yes—
591#392C2312yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2312yes—
596#392C2312yes—
597#392C2312yes—
598#392C2314yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2311yescharacteristic
606#391C2311yescharacteristic
607#391C2311yescharacteristic
608#391C2311yescharacteristic
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2314yes—
621#390C2314yes—
622#390C2314yes—
623#390C2314yes—
624#390C2314yes—
625#390C2311yescharacteristic
626#390C2314yes—
627#390C2314yes—
628#390C2311yescharacteristic
629#390C2314yes—
630#390C2314yes—
631#390C2311yescharacteristic
632#390C2311yescharacteristic
633#390C2311yescharacteristic
634#390C2311yescharacteristic
635#390C2312yes—
636#390C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2314yes—
642#389C2314yes—
643#389C2312yes—
644#389C2314yes—
645#389C2314yes—
646#389C2312yes—
647#389C2314yes—
648#389C2314yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2312yes—
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#389C2312yes—
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
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#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#386C2312yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2314yes—
749#385C2312yes—
750#385C2312yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#384C2312yes—
758#384C2312yes—
759#384C2312yes—
760#384C2314yes—
761#384C2312yes—
762#384C2312yes—
763#384C2312yes—
764#383C2314yes—
765#382C2312yes—
766#382C2312yes—
767#381C2314yes—
768#381C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2314yes—
795#380C2314yes—
796#380C2314yes—
797#379C2312yes—
798#379C2314yes—
799#379C2314yes—
800#379C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C2×#95C2312yes—
822C2×#95C2311yescharacteristic
823C2×#95C2312yes—
824C2×#95C2312yes—
825C2×#95C2312yes—
826C2×#95C2311yescharacteristic
827C2×#95C2312yes—
828C25C2411yescharacteristic
829C25C2412yes—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—24no—
842C2×#41—24no—
843C2×#41—24no—
844C2×#41—24no—
845C2×#41—44no—
846C2×#41—44no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—44no—
850C2×#41—44no—
851C2×#41—42no—
852C2×#41—42no—
853C2×#41—42no—
854C2×#41—42no—
855C2×#41—42no—
856C2×#41—42no—
857C2×#41—464no—
858C22×Q8—42no—
859C22×Q8—42no—
860C22×Q8—42no—
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×D4—42no—
868C22×D4—42no—
869C22×D4—42no—
870C22×D4—44no—
871C22×D4—44no—
872C22×D4—44no—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C23×C4—24no—
905C23×C4—24no—
906C23×C4—24no—
907C23×C4—44no—
908C23×C4—44no—
909C23×C4—44no—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2414yes—
931C23×C4C2414yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2411yescharacteristic
936C4⋊Q8—42no—
937C4⋊Q8—42no—
938C4⋊Q8—42no—
939#127—42no—
940#127—42no—
941#127—42no—
942#127—84no—
943#126—84no—
944#124—42no—
945#124—42no—
946#124—42no—
947#124—42no—
948#124—42no—
949#124—42no—
950#123—48no—
951#123—44no—
952#123—44no—
953#123—44no—
954#123—84no—
955#123—84no—
956#123—84no—
957C22⋊Q8—42no—
958C22⋊Q8—42no—
959C22⋊Q8—42no—
960C22⋊Q8—42no—
961C22⋊Q8—42no—
962C22⋊Q8—42no—
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—
975#121—28no—
976#121—44no—
977#121—48no—
978#121—42no—
979#121—42no—
980#121—42no—
981#121—42no—
982#121—42no—
983#121—42no—
984#121—44no—
985#121—44no—
986#121—44no—
987#121—44no—
988#121—44no—
989#121—44no—
990#121—44no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—44no—
996#121—44no—
997#121—44no—
998#121—44no—
999#121—44no—
1000#121—44no—
1001#121—44no—
1002#121—48no—
1003#121—48no—
1004#121—48no—
1005#121—48no—
1006#121—48no—
1007#121—48no—
1008#121—84no—
1009#121—84no—
1010#121—84no—
1011#121—84no—
1012#121—84no—
1013#120—28no—
1014#120—44no—
1015#120—44no—
1016#120—44no—
1017#120—44no—
1018#120—84no—
1019#120—84no—
1020C4×Q8—42no—
1021C4×Q8—42no—
1022C4×Q8—44no—
1023C4×Q8—44no—
1024C4×D4—42no—
1025C4×D4—42no—
1026C4×D4—44no—
1027C4×D4—44no—
1028C4×D4—44no—
1029C4×D4—44no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—44no—
1035C4×D4—44no—
1036C4×D4—44no—
1037C4×D4—44no—
1038C4×D4—44no—
1039C4×D4—44no—
1040C4×D4—44no—
1041C4×D4—44no—
1042C4×D4—48no—
1043C4×D4—48no—
1044#117—24no—
1045#117—24no—
1046#117—24no—
1047#117—44no—
1048#117—44no—
1049#117—44no—
1050C2×C4⋊C4—24no—
1051C2×C4⋊C4—24no—
1052C2×C4⋊C4—24no—
1053C2×C4⋊C4—24no—
1054C2×C4⋊C4—44no—
1055C2×C4⋊C4—44no—
1056C2×C4⋊C4—44no—
1057C2×C4⋊C4—82no—
1058C2×C4⋊C4—82no—
1059C2×C4⋊C4—82no—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C22⋊C4—24no—
1113C2×C22⋊C4—42no—
1114C2×C22⋊C4—82no—
1115C2×C22⋊C4—82no—
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C42—24no—
1196C2×C42—24no—
1197C2×C42—44no—
1198C2×C42—82no—
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2414yes—
1211C2×C42C2414yes—
1212C2×C42C2412yes—
1213C2×C42C2412yes—
1214C2×C42C2414yes—
1215C2×C42C2414yes—
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266C24—22no—
1267C24—22no—
1268C24—22no—
1269C24—22no—
1270C24—24no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—42no—
1275C24—42no—
1276C24—42no—
1277C24—42no—
1278C24—42no—
1279C24—42no—
1280C24C2511yescharacteristic
1281C24C2512yes—
1282C24C2512yes—
1283C24C2512yes—
1284C24C2512yes—
1285C24C2512yes—
1286C24C2511yescharacteristic
1287C24C2511yescharacteristic
1288#41—432no—
1289#41—416no—
1290#41—416no—
1291#41—432no—
1292#41—416no—
1293#41—416no—
1294#41—416no—
1295#41—416no—
1296#41—416no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—22no—
1300C2×Q8—22no—
1301C2×Q8—22no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—22no—
1305C2×Q8—22no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—42no—
1313C2×Q8—42no—
1314C2×Q8—42no—
1315C2×Q8—416no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
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—22no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
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—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—44no—
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×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—432no—
1410C2×D4—416no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—41no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—41no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—41no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—432no—
1487C22×C4—416no—
1488C22×C4H(5,𝔽2)14yes—
1489C22×C4H(5,𝔽2)14yes—
1490C22×C4H(5,𝔽2)14yes—
1491C22×C4C2512yes—
1492C22×C4C2512yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2511yescharacteristic
1498C22×C4C2512yes—
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C22×C4C2511yescharacteristic
1502C22×C4C2514yes—
1503C22×C4C2512yes—
1504C22×C4C2514yes—
1505C22×C4C2512yes—
1506C22×C4C2514yes—
1507C22×C4C2512yes—
1508C22×C4C2514yes—
1509C22×C4C2511yescharacteristic
1510C22×C4C2512yes—
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2511yescharacteristic
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C22×C4C2511yescharacteristic
1517C22×C4C2511yescharacteristic
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—22no—
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—22no—
1530C4⋊C4—22no—
1531C4⋊C4—22no—
1532C4⋊C4—24no—
1533C4⋊C4—28no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—42no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4—42no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—42no—
1550C4⋊C4—42no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—42no—
1555C4⋊C4—42no—
1556C4⋊C4—42no—
1557C4⋊C4—42no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4—44no—
1563C4⋊C4—44no—
1564C4⋊C4—44no—
1565C4⋊C4—44no—
1566C4⋊C4—44no—
1567C4⋊C4—42no—
1568C4⋊C4—44no—
1569C4⋊C4—42no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—22no—
1574C22⋊C4—22no—
1575C22⋊C4—22no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—22no—
1580C22⋊C4—22no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—41no—
1584C22⋊C4—41no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
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—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—44no—
1647C22⋊C4—42no—
1648C22⋊C42−1+414yes—
1649C42—22no—
1650C42—22no—
1651C42—22no—
1652C42—22no—
1653C42—22no—
1654C42—22no—
1655C42—22no—
1656C42—22no—
1657C42—24no—
1658C42—24no—
1659C42—24no—
1660C42—42no—
1661C42—42no—
1662C42—44no—
1663C42—44no—
1664C42—44no—
1665C42—44no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—21no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—21no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—21no—
1709C23—21no—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—44no—
1719C23—44no—
1720C23—44no—
1721C23—48no—
1722C23—44no—
1723C23—82no—
1724C23—82no—
1725C23—82no—
1726C23—84no—
1727C23—84no—
1728C23—84no—
1729C23—84no—
1730C23—84no—
1731C23—84no—
1732C23C2×H(5,𝔽2)12yes—
1733C23C2×H(5,𝔽2)12yes—
1734C23C2×H(5,𝔽2)12yes—
1735C23C2×2−1+412yes—
1736C23C2611yescharacteristic
1737Q8—48no—
1738Q8—44no—
1739Q8—44no—
1740Q8—44no—
1741Q8—44no—
1742Q8—44no—
1743D4—48no—
1744D4—48no—
1745D4—48no—
1746D4—48no—
1747D4—48no—
1748D4—48no—
1749D4—48no—
1750D4—48no—
1751D4—44no—
1752D4—44no—
1753D4—44no—
1754D4—44no—
1755D4—44no—
1756D4—84no—
1757D4—84no—
1758D4—84no—
1759D4—84no—
1760D4—84no—
1761D4—84no—
1762D4—84no—
1763D4—84no—
1764D4—84no—
1765D4—84no—
1766D4—84no—
1767D4—84no—
1768D4—164no—
1769D4—164no—
1770D4—164no—
1771D4—164no—
1772D4—164no—
1773D4—164no—
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—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—24no—
1795C2×C4—24no—
1796C2×C4—24no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—24no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—24no—
1829C2×C4—21no—
1830C2×C4—24no—
1831C2×C4—24no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—22no—
1837C2×C4—24no—
1838C2×C4—22no—
1839C2×C4—24no—
1840C2×C4—22no—
1841C2×C4—24no—
1842C2×C4—24no—
1843C2×C4—22no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—44no—
1847C2×C4—44no—
1848C2×C4—44no—
1849C2×C4—48no—
1850C2×C4—48no—
1851C2×C4—48no—
1852C2×C4—44no—
1853C2×C4—44no—
1854C2×C4—44no—
1855C2×C4—44no—
1856C2×C4—44no—
1857C2×C4—48no—
1858C2×C4—48no—
1859C2×C4—48no—
1860C2×C4—48no—
1861C2×C4—48no—
1862C2×C4—84no—
1863C2×C4—84no—
1864C2×C4—84no—
1865C2×C4—84no—
1866C2×C4—84no—
1867C2×C4—82no—
1868C2×C4—84no—
1869C2×C4—164no—
1870C2×C4—164no—
1871C2×C4#560116yes—
1872C2×C4C2×H(5,𝔽2)12yes—
1873C2×C4C2×H(5,𝔽2)12yes—
1874C2×C4C2×H(5,𝔽2)12yes—
1875C2×C4C2×H(5,𝔽2)12yes—
1876C2×C4C2×H(5,𝔽2)12yes—
1877C2×C4C2×H(5,𝔽2)12yes—
1878C2×C4C2×2−1+412yes—
1879C2×C4C2×2−1+412yes—
1880C2×C4#58512yes—
1881C22—22no—
1882C22—22no—
1883C22—22no—
1884C22—22no—
1885C22—22no—
1886C22—22no—
1887C22—22no—
1888C22—22no—
1889C22—22no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—41no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—41no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—41no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—41no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—41no—
1927C22—41no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—41no—
1932C22—42no—
1933C22—42no—
1934C22—42no—
1935C22—42no—
1936C22—88no—
1937C22—816no—
1938C22C2×#56014yes—
1939C22C22×H(5,𝔽2)11yescharacteristic
1940C22C22×H(5,𝔽2)11yescharacteristic
1941C22C22×H(5,𝔽2)11yescharacteristic
1942C22C22×2−1+411yescharacteristic
1943C22C2×#58511yescharacteristic
1944C22H(7,𝔽2)11yescharacteristic
1945C22H(7,𝔽2)11yescharacteristic
1946C4—22no—
1947C4—22no—
1948C4—22no—
1949C4—42no—
1950C4—44no—
1951C4—44no—
1952C4—42no—
1953C4—44no—
1954C4—41no—
1955C4—41no—
1956C4—42no—
1957C4—41no—
1958C4—41no—
1959C4—42no—
1960C4—42no—
1961C4—42no—
1962C4—42no—
1963C4—42no—
1964C4—41no—
1965C4—41no—
1966C4—42no—
1967C4—42no—
1968C4—41no—
1969C4—42no—
1970C4—44no—
1971C4C2×#56014yes—
1972C4C2×#56014yes—
1973C2—24no—
1974C2—42no—
1975C2—82no—
1976C2—82no—
1977C2—82no—
1978C2—81no—
1979C2—82no—
1980C2—82no—
1981C2C22×#56011yescharacteristic
1982C2#6283511yescharacteristic
1983C2#6288011yescharacteristic
1984C2#6293011yescharacteristic
1985C2#6294411yescharacteristic
1986C2#6294411yescharacteristic
1987C2#6295711yescharacteristic
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. #53096C2semidirect
3. #53051C2semidirect
4. #53045C2semidirect
5. #53044C2semidirect
6. #53014C2semidirect
7. #52981C2semidirect
8. #52957C2semidirect
9. #52529C2semidirect
10. #52472C2semidirect
11. #46040C2semidirect
12. #46038C2semidirect
13. #45655C2semidirect
14. #45646C2semidirect
15. #45623C2semidirect
16. #45608C2semidirect
17. #45600C2semidirect
18. #45515C2semidirect
19. #45497C2semidirect
20. #45493C2semidirect
21. #35564C2semidirect
22. #35564C2semidirect
23. #35530C2semidirect
24. #35518C2semidirect
25. #35518C2semidirect
26. #35517C2semidirect
27. #35273C2semidirect
28. #35255C2semidirect
29. #35251C2semidirect
30. #35251C2semidirect
31. #35166C2semidirect
32. #35160C2semidirect
33. C2×#2497C2semidirect
34. #34743C2semidirect
35. #34738C2semidirect
41. C2×#537C22semidirect
42. C2×#537C22semidirect
45. C2×#532C22semidirect
49. C2×#520C22semidirect
50. C2×#520C22semidirect
51. C2×C4×#41C22semidirect
52. #2857C22semidirect
53. #2856C22semidirect
54. #2856C22semidirect
55. #2855C22semidirect
56. #2854C22semidirect
57. #2852C22semidirect
63. #2841C22semidirect
64. #2838C22semidirect
65. #2837C22semidirect
66. #2830C22semidirect
67. #2829C22semidirect
68. #2829C22semidirect
69. #2829C22semidirect
70. #2829C22semidirect
71. #2829C22semidirect
72. #2828C22semidirect
73. #2828C22semidirect
74. #2827C22semidirect
75. #2826C22semidirect
77. #2824C22semidirect
78. #2813C22semidirect
79. #2813C22semidirect
80. #2813C22semidirect
81. #2813C22semidirect
82. #2807C22semidirect
83. #2803C22semidirect
84. #2803C22semidirect
85. #2801C22semidirect
87. #2797C22semidirect
88. #2796C22semidirect
89. #2795C22semidirect
90. #2792C22semidirect
92. #2790C22semidirect
93. #2784C22semidirect
97. #2780C22semidirect
98. #2778C22semidirect
99. #2757C22semidirect
100. #2756C22semidirect
102. #2748C22semidirect
103. #2742C22semidirect
104. #2737C22semidirect
105. #2714C22semidirect
106. #2709C22semidirect
107. #2705C22semidirect
108. #2703C22semidirect
109. #2699C22semidirect
111. #2693C22semidirect
112. #2691C22semidirect
113. #2688C22semidirect
118. #2675C22semidirect
119. #2673C22semidirect
120. #2673C22semidirect
122. #2656C22semidirect
123. #2643C22semidirect
124. #2625C22semidirect
125. #2624C22semidirect
126. #2620C22semidirect
127. #2620C22semidirect
132. #2543C22semidirect
133. #2543C22semidirect
134. #2542C22semidirect
135. #2542C22semidirect
136. #2541C22semidirect
137. #2541C22semidirect
138. #2540C22semidirect
139. #2540C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
144. #2538C22semidirect
145. #2538C22semidirect
146. #2537C22semidirect
147. #2537C22semidirect
148. #2537C22semidirect
149. #2537C22semidirect
150. #2536C22semidirect
151. #2536C22semidirect
154. #2514C22semidirect
155. #2513C22semidirect
156. #2512C22semidirect
157. #2511C22semidirect
158. #2502C22semidirect
159. #2501C22semidirect
160. #2500C22semidirect
161. #2499C22semidirect
166. #2497C22semidirect
167. #2497C22semidirect
168. #2497C22semidirect
169. #2497C22semidirect
170. #2497C22semidirect
171. #2496C22semidirect
172. #2495C22semidirect
173. #2494C22semidirect
174. #2487C22semidirect
175. #2486C22semidirect
176. #2485C22semidirect
177. #2485C22semidirect
178. #2448C22semidirect
179. #2447C22semidirect
180. #2446C22semidirect
181. #2445C22semidirect
182. #2444C22semidirect
183. #2444C22semidirect
184. #2443C22semidirect
185. #2443C22semidirect
186. #2443C22semidirect
187. #2443C22semidirect
201. #2429C22semidirect
202. #2429C22semidirect
203. #2429C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
209. #2427C22semidirect
210. #2427C22semidirect
211. #2427C22semidirect
213. #2426C22semidirect
214. #2426C22semidirect
215. #2426C22semidirect
216. #2425C22semidirect
217. #2425C22semidirect
218. #2425C22semidirect
219. #2425C22semidirect
224. #2423C22semidirect
225. #2423C22semidirect
226. #2423C22semidirect
227. #2422C22semidirect
228. #2422C22semidirect
229. #2422C22semidirect
230. #2421C22semidirect
231. #2420C22semidirect
234. #2417C22semidirect
235. #2417C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
244. #2415C22semidirect
245. #2415C22semidirect
246. #2415C22semidirect
247. #2415C22semidirect
250. #2414C22semidirect
251. #2414C22semidirect
264. C2×#400C22semidirect
266. #2392C22semidirect
271. #2377C22semidirect
272. #2376C22semidirect
274. #2317C22semidirect
275. #2317C22semidirect
280. #2311C22semidirect
281. #2311C22semidirect
283. C4×#121C22semidirect
288. #2297C22semidirect
289. #2296C22semidirect
290. C2×#389C22semidirect
291. C2×#389C22semidirect
293. C2×#387C22semidirect
294. C2×#384C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#531512
#530962
#530512
#530452
#530442
#530142
#529812
#529572
#525292
#524722
#460402
#460382
#456552
#456462
#456232
#456082
#456002
#455152
#454972
#454932
#355642
#355302
#355182
#355172
#352732
#352552
#352512
#351662
#351602
C2×#24972
#347432
#347382