Finite Group Databasebeta

← #8094804

Subgroups — #8094804

Order 512.

5891 conjugacy classes of subgroups.

The subgroup lattice has 1995 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53129C212yesmaximal, complemented
2#53095C212yesmaximal, complemented
3#53063C212yesmaximal, complemented
4#53055C212yesmaximal, complemented
5#53044C212yesmaximal, complemented
6#53007C212yesmaximal, complemented
7#52962C212yesmaximal, complemented
8#52956C212yesmaximal, complemented
9#52529C214yesmaximal, complemented
10#52471C214yesmaximal, complemented
11#46040C214yesmaximal, complemented
12#45970C214yesmaximal, complemented
13#45677C212yesmaximal, complemented
14#45646C212yesmaximal, complemented
15#45632C212yesmaximal, complemented
16#45624C212yesmaximal, complemented
17#45598C212yesmaximal, complemented
18#45518C212yesmaximal, complemented
19#45483C212yesmaximal, complemented
20#45478C212yesmaximal, 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×#2496C211yesmaximal, characteristic, complemented
34#34743C211yesmaximal, characteristic, complemented
35#34738C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#560C2214yes—
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#537C2211yescharacteristic
41C2×#537C2211yescharacteristic
42C2×#537C2211yescharacteristic, complemented
43C2×#537C2211yescharacteristic, complemented
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic, complemented
47C22×#126C2212yes—
48C2×#525C2211yescharacteristic
49C2×#525C2211yescharacteristic
50C2×#525C2211yescharacteristic
51C2×#520C2211yescharacteristic, complemented
52C2×#520C2211yescharacteristic, complemented
53C2×C4×#41C2211yescharacteristic, complemented
54#2857C2212yescomplemented
55#2856C2214yescomplemented
56#2856C2212yescomplemented
57#2855C2212yescomplemented
58#2854C2212yescomplemented
59#2852C2214yescomplemented
60#2848C2212yes—
61#2848C2212yes—
62#2847C2212yes—
63#2847C2212yes—
64#2841C2214yescomplemented
65#2838C2214yescomplemented
66#2837C2214yescomplemented
67#2837C2214yescomplemented
68#2830C2214yescomplemented
69#2829C2214yescomplemented
70#2829C2214yescomplemented
71#2828C2214yescomplemented
72#2828C2214yescomplemented
73#2827C2214yes—
74#2827C2214yescomplemented
75#2826C2214yescomplemented
76#2826C2214yescomplemented
77#2825C2214yescomplemented
78#2824C2214yescomplemented
79#2823C2214yescomplemented
80#2818C2214yescomplemented
81#2815C2214yescomplemented
82#2813C2214yescomplemented
83#2812C2214yes—
84#2807C2214yescomplemented
85#2803C2214yescomplemented
86#2797C2214yescomplemented
87#2796C2214yes—
88#2796C2214yescomplemented
89#2792C2214yescomplemented
90#2790C2214yescomplemented
91#2784C2214yescomplemented
92#2780C2214yescomplemented
93#2778C2214yescomplemented
94#2757C2214yescomplemented
95#2752C2214yescomplemented
96#2748C2214yescomplemented
97#2746C2214yes—
98#2742C2214yescomplemented
99#2737C2214yescomplemented
100#2735C2214yes—
101#2714C2214yescomplemented
102#2714C2214yescomplemented
103#2714C2214yescomplemented
104#2709C2214yescomplemented
105#2705C2214yescomplemented
106#2705C2214yescomplemented
107#2705C2214yescomplemented
108#2705C2214yescomplemented
109#2703C2214yescomplemented
110#2703C2214yescomplemented
111#2693C2214yescomplemented
112#2691C2214yes—
113#2691C2214yes—
114#2691C2214yes—
115#2691C2214yescomplemented
116#2688C2214yes—
117#2688C2214yescomplemented
118#2685C2214yes—
119#2685C2214yes—
120#2685C2214yes—
121#2678C2214yes—
122#2673C2214yescomplemented
123#2668C2214yes—
124#2656C2214yescomplemented
125#2643C2214yescomplemented
126#2625C2212yescomplemented
127#2624C2212yescomplemented
128#2620C2212yescomplemented
129#2620C2212yescomplemented
130#2616C2212yes—
131#2616C2212yes—
132#2615C2212yes—
133#2615C2212yes—
134#2543C2214yescomplemented
135#2543C2214yescomplemented
136#2542C2212yescomplemented
137#2542C2212yescomplemented
138#2541C2212yescomplemented
139#2541C2212yescomplemented
140#2540C2212yescomplemented
141#2540C2212yescomplemented
142#2540C2212yescomplemented
143#2540C2212yescomplemented
144#2538C2212yescomplemented
145#2538C2212yescomplemented
146#2538C2212yescomplemented
147#2538C2212yescomplemented
148#2537C2212yes—
149#2537C2212yes—
150#2537C2212yescomplemented
151#2537C2212yescomplemented
152#2536C2212yes—
153#2536C2212yes—
154#2535C2212yescomplemented
155#2535C2212yescomplemented
156#2514C2212yescomplemented
157#2513C2212yescomplemented
158#2512C2212yescomplemented
159#2511C2212yescomplemented
160#2502C2212yescomplemented
161#2501C2212yescomplemented
162#2500C2212yescomplemented
163#2499C2212yescomplemented
164#2497C2212yescomplemented
165#2496C2212yes—
166#2496C2212yes—
167#2496C2212yes—
168#2496C2212yes—
169#2496C2212yescomplemented
170#2496C2212yescomplemented
171#2496C2212yescomplemented
172#2496C2212yescomplemented
173#2496C2212yescomplemented
174#2495C2212yescomplemented
175#2494C2212yescomplemented
176#2487C2212yescomplemented
177#2486C2212yescomplemented
178#2485C2212yescomplemented
179#2485C2212yescomplemented
180#2448C2212yescomplemented
181#2447C2212yescomplemented
182#2446C2212yescomplemented
183#2445C2212yescomplemented
184#2444C2214yescomplemented
185#2444C2214yescomplemented
186#2443C2214yescomplemented
187#2443C2214yescomplemented
188#2443C2214yescomplemented
189#2443C2214yescomplemented
190#2436C2211yescharacteristic
191#2435C2211yescharacteristic
192#2434C2211yescharacteristic
193#2433C2211yescharacteristic
194#2432C2211yescharacteristic
195#2432C2211yescharacteristic
196#2431C2211yescharacteristic
197#2431C2211yescharacteristic
198#2430C2212yes—
199#2430C2214yes—
200#2430C2214yes—
201#2430C2212yes—
202#2429C2211yescharacteristic
203#2429C2211yescharacteristic, complemented
204#2429C2212yescomplemented
205#2429C2212yescomplemented
206#2428C2211yescharacteristic
207#2428C2211yescharacteristic, complemented
208#2428C2212yescomplemented
209#2428C2212yescomplemented
210#2427C2211yescharacteristic
211#2427C2211yescharacteristic, complemented
212#2427C2212yescomplemented
213#2427C2212yescomplemented
214#2426C2211yescharacteristic
215#2426C2212yescomplemented
216#2426C2212yescomplemented
217#2426C2211yescharacteristic, complemented
218#2425C2212yescomplemented
219#2425C2214yescomplemented
220#2425C2214yescomplemented
221#2425C2212yescomplemented
222#2424C2212yes—
223#2424C2214yes—
224#2424C2214yes—
225#2424C2212yes—
226#2423C2212yescomplemented
227#2423C2212yescomplemented
228#2423C2212yescomplemented
229#2422C2212yescomplemented
230#2422C2212yescomplemented
231#2422C2212yescomplemented
232#2421C2212yescomplemented
233#2420C2212yescomplemented
234#2417C2212yescomplemented
235#2417C2212yescomplemented
236#2417C2212yescomplemented
237#2417C2212yescomplemented
238#2416C2212yes—
239#2416C2212yes—
240#2416C2214yescomplemented
241#2416C2214yescomplemented
242#2416C2212yescomplemented
243#2416C2214yescomplemented
244#2416C2212yescomplemented
245#2416C2214yescomplemented
246#2415C2212yes—
247#2415C2212yes—
248#2415C2212yescomplemented
249#2415C2212yescomplemented
250#2414C2212yescomplemented
251#2414C2212yescomplemented
252#2414C2212yescomplemented
253#2414C2212yescomplemented
254#2410C2212yes—
255#2410C2214yes—
256#2410C2214yes—
257#2410C2212yes—
258#2409C2212yes—
259#2409C2212yes—
260#2408C2212yes—
261#2408C2212yes—
262#2407C2212yes—
263#2407C2212yes—
264#2407C2212yes—
265#2407C2212yes—
266C2×#400C2212yescomplemented
267#2392C2212yes—
268#2392C2212yescomplemented
269C2×#397C2212yes—
270#2388C2212yes—
271#2388C2212yes—
272#2383C2214yes—
273#2377C2214yescomplemented
274#2376C2214yescomplemented
275#2317C2211yescharacteristic, complemented
276#2317C2211yescharacteristic, complemented
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic, complemented
282#2311C2211yescharacteristic, complemented
283C4×#121C2212yes—
284C4×#121C2212yescomplemented
285C4×#120C2212yes—
286C4×#120C2212yes—
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289#2297C2211yescharacteristic, complemented
290#2296C2211yescharacteristic, complemented
291C2×#389C2211yescharacteristic, complemented
292C2×#389C2211yescharacteristic, complemented
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#560—416no—
317#537—44no—
318#537—44no—
319#537—44no—
320#537—44no—
321#537—44no—
322#537—44no—
323#532—44no—
324#532—44no—
325#532—44no—
326C2×C4⋊Q8C2311yescharacteristic
327C2×C4⋊Q8C2311yescharacteristic
328C2×C4⋊Q8C2311yescharacteristic
329C2×#127C2314yes—
330C2×#127C2311yescharacteristic
331C2×#127C2311yescharacteristic
332C2×#127C2311yescharacteristic
333C2×#126—48no—
334C2×#126C2314yes—
335C2×#126C2314yes—
336C2×#126C2314yes—
337C2×#126C2314yes—
338C2×#126C2314yes—
339C2×#124C2311yescharacteristic
340C2×#124C2311yescharacteristic
341C2×#124C2311yescharacteristic
342C2×#124C2311yescharacteristic
343C2×#124C2311yescharacteristic
344C2×#124C2311yescharacteristic
345#525—44no—
346#525—44no—
347#525—44no—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2311yescharacteristic
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2311yescharacteristic
369C2×C22⋊Q8C2311yescharacteristic
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×#121C2312yes—
374C2×#121C2311yescharacteristic
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2311yescharacteristic
392C2×#121C2311yescharacteristic
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C2×#121C2312yes—
400C2×#121C2314yes—
401C2×#121C2311yescharacteristic
402C2×#121C2311yescharacteristic
403C2×#121C2314yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#120C2312yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C2×#120C2312yes—
415C2×#120C2312yes—
416C2×#120C2312yes—
417C2×#120C2312yes—
418#520—44no—
419#520—44no—
420C4×#41—44no—
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2314yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×#117C2311yescharacteristic
446C2×#117C2311yescharacteristic
447C2×#117C2311yescharacteristic
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C22⋊C4C2311yescharacteristic
462C22×C22⋊C4C2311yescharacteristic
463C22×C22⋊C4C2312yes—
464C22×C22⋊C4C2312yes—
465C22×C42C2311yescharacteristic
466C22×C42C2311yescharacteristic
467C22×C42C2312yes—
468C22×C42C2312yes—
469#401C2314yes—
470#400C2314yes—
471#400C2314yes—
472#400C2314yes—
473#400C2314yes—
474#400C2314yes—
475#400C2314yes—
476#400C2314yes—
477#400C2314yes—
478#400C2314yes—
479#399C2314yes—
480#399C2314yes—
481#399C2314yes—
482#399C2314yes—
483#399C2314yes—
484#399C2314yes—
485#399C2314yes—
486#399C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2312yes—
495#398C2314yes—
496#398C2312yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2312yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2312yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#396C2312yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2312yes—
526#396C2314yes—
527#396C2314yes—
528#396C2312yes—
529#396C2314yes—
530#396C2312yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#395C2314yes—
536#395C2312yes—
537#395C2314yes—
538#395C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2312yes—
546#394C2314yes—
547#394C2314yes—
548#394C2312yes—
549#394C2314yes—
550#394C2312yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2312yes—
562#394C2312yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2312yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2312yes—
571#394C2314yes—
572#394C2312yes—
573#394C2312yes—
574#394C2312yes—
575#394C2312yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#393C2312yes—
580#393C2314yes—
581#393C2314yes—
582#393C2312yes—
583#392C2312yes—
584#392C2312yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2312yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2312yes—
600#392C2312yes—
601#392C2312yes—
602#392C2312yes—
603#392C2312yes—
604#392C2314yes—
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2312yes—
611#391C2311yescharacteristic
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2311yescharacteristic
615#391C2311yescharacteristic
616#391C2311yescharacteristic
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2314yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2314yes—
628#390C2311yescharacteristic
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2314yes—
633#390C2314yes—
634#390C2314yes—
635#390C2311yescharacteristic
636#390C2314yes—
637#390C2311yescharacteristic
638#390C2311yescharacteristic
639#390C2311yescharacteristic
640#390C2311yescharacteristic
641#390C2312yes—
642#390C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2314yes—
648#389C2314yes—
649#389C2314yes—
650#389C2312yes—
651#389C2312yes—
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2311yescharacteristic
662#389C2311yescharacteristic
663#389C2312yes—
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2314yes—
687#388C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2312yes—
751#385C2314yes—
752#385C2312yes—
753#385C2314yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#384C2314yes—
760#384C2312yes—
761#384C2312yes—
762#384C2312yes—
763#384C2312yes—
764#384C2312yes—
765#384C2312yes—
766#383C2314yes—
767#382C2312yes—
768#382C2312yes—
769#381C2314yes—
770#381C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2314yes—
784#380C2314yes—
785#380C2312yes—
786#380C2312yes—
787#380C2314yes—
788#380C2314yes—
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#379C2314yes—
800#379C2314yes—
801#379C2312yes—
802#379C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2311yescharacteristic
823C2×#95C2312yes—
824C2×#95C2312yes—
825C2×#95C2312yes—
826C2×#95C2311yescharacteristic
827C2×#95C2312yes—
828C2×#95C2312yes—
829C2×#95C2311yescharacteristic
830C25C2411yescharacteristic
831C25C2412yes—
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—24no—
846C2×#41—24no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—44no—
850C2×#41—44no—
851C2×#41—44no—
852C2×#41—44no—
853C2×#41—42no—
854C2×#41—42no—
855C2×#41—42no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—42no—
859C2×#41—464no—
860C22×Q8—42no—
861C22×Q8—42no—
862C22×Q8—42no—
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×D4—42no—
870C22×D4—42no—
871C22×D4—42no—
872C22×D4—44no—
873C22×D4—44no—
874C22×D4—44no—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C23×C4—24no—
907C23×C4—24no—
908C23×C4—24no—
909C23×C4—44no—
910C23×C4—44no—
911C23×C4—44no—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2411yescharacteristic
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2414yes—
933C23×C4C2414yes—
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2411yescharacteristic
938C4⋊Q8—42no—
939C4⋊Q8—42no—
940C4⋊Q8—42no—
941#127—42no—
942#127—42no—
943#127—42no—
944#127—48no—
945#126—216no—
946#126—48no—
947#126—48no—
948#126—48no—
949#126—48no—
950#124—42no—
951#124—42no—
952#124—42no—
953#124—42no—
954#124—42no—
955#124—42no—
956#123—48no—
957#123—48no—
958#123—48no—
959#123—44no—
960#123—44no—
961#123—44no—
962#123—48no—
963C22⋊Q8—42no—
964C22⋊Q8—42no—
965C22⋊Q8—42no—
966C22⋊Q8—42no—
967C22⋊Q8—42no—
968C22⋊Q8—42no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974C22⋊Q8—44no—
975C22⋊Q8—44no—
976C22⋊Q8—44no—
977C22⋊Q8—44no—
978C22⋊Q8—44no—
979C22⋊Q8—44no—
980C22⋊Q8—44no—
981#121—28no—
982#121—44no—
983#121—48no—
984#121—48no—
985#121—48no—
986#121—48no—
987#121—48no—
988#121—42no—
989#121—42no—
990#121—42no—
991#121—42no—
992#121—42no—
993#121—42no—
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—44no—
1003#121—44no—
1004#121—44no—
1005#121—44no—
1006#121—48no—
1007#121—44no—
1008#121—44no—
1009#121—44no—
1010#121—44no—
1011#121—44no—
1012#121—44no—
1013#121—48no—
1014#121—48no—
1015#121—48no—
1016#121—48no—
1017#121—48no—
1018#121—48no—
1019#120—28no—
1020#120—44no—
1021#120—44no—
1022#120—44no—
1023#120—44no—
1024#120—48no—
1025#120—48no—
1026C4×Q8—42no—
1027C4×Q8—42no—
1028C4×Q8—44no—
1029C4×Q8—44no—
1030C4×D4—42no—
1031C4×D4—42no—
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—44no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—44no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—48no—
1049C4×D4—48no—
1050#117—24no—
1051#117—24no—
1052#117—24no—
1053#117—44no—
1054#117—44no—
1055#117—44no—
1056C2×C4⋊C4—24no—
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4—24no—
1059C2×C4⋊C4—24no—
1060C2×C4⋊C4—44no—
1061C2×C4⋊C4—44no—
1062C2×C4⋊C4—44no—
1063C2×C4⋊C4—44no—
1064C2×C4⋊C4—44no—
1065C2×C4⋊C4—44no—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C22⋊C4—24no—
1119C2×C22⋊C4—42no—
1120C2×C22⋊C4—44no—
1121C2×C22⋊C4—44no—
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C42—24no—
1202C2×C42—24no—
1203C2×C42—44no—
1204C2×C42—44no—
1205C2×C42C2412yes—
1206C2×C42C2411yescharacteristic
1207C2×C42C2412yes—
1208C2×C42C2412yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2414yes—
1216C2×C42C2411yescharacteristic
1217C2×C42C2414yes—
1218C2×C42C2414yes—
1219C2×C42C2412yes—
1220C2×C42C2412yes—
1221C2×C42C2414yes—
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—22no—
1276C24—24no—
1277C24—41no—
1278C24—42no—
1279C24—42no—
1280C24—42no—
1281C24—41no—
1282C24—41no—
1283C24—42no—
1284C24—42no—
1285C24—42no—
1286C24C2511yescharacteristic
1287C24C2512yes—
1288C24C2512yes—
1289C24C2512yes—
1290C24C2512yes—
1291C24C2512yes—
1292C24C2511yescharacteristic
1293C24C2511yescharacteristic
1294#41—432no—
1295#41—416no—
1296#41—416no—
1297#41—432no—
1298#41—416no—
1299#41—416no—
1300#41—416no—
1301#41—416no—
1302#41—416no—
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—22no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—22no—
1316C2×Q8—22no—
1317C2×Q8—22no—
1318C2×Q8—42no—
1319C2×Q8—42no—
1320C2×Q8—42no—
1321C2×Q8—416no—
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—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
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—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
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—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
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—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—432no—
1416C2×D4—416no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—22no—
1429C22×C4—24no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—22no—
1458C22×C4—24no—
1459C22×C4—24no—
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—41no—
1470C22×C4—41no—
1471C22×C4—41no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—41no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—42no—
1484C22×C4—41no—
1485C22×C4—42no—
1486C22×C4—44no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—432no—
1493C22×C4—416no—
1494C22×C4H(5,𝔽2)14yes—
1495C22×C4H(5,𝔽2)14yes—
1496C22×C4H(5,𝔽2)14yes—
1497C22×C4C2511yescharacteristic
1498C22×C4C2511yescharacteristic
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2511yescharacteristic
1503C22×C4C2512yes—
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2511yescharacteristic
1507C22×C4C2514yes—
1508C22×C4C2512yes—
1509C22×C4C2514yes—
1510C22×C4C2512yes—
1511C22×C4C2514yes—
1512C22×C4C2512yes—
1513C22×C4C2514yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C22×C4C2512yes—
1517C22×C4C2512yes—
1518C22×C4C2512yes—
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—22no—
1533C4⋊C4—22no—
1534C4⋊C4—28no—
1535C4⋊C4—28no—
1536C4⋊C4—28no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—24no—
1542C4⋊C4—28no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—42no—
1550C4⋊C4—42no—
1551C4⋊C4—44no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—42no—
1555C4⋊C4—42no—
1556C4⋊C4—42no—
1557C4⋊C4—42no—
1558C4⋊C4—42no—
1559C4⋊C4—42no—
1560C4⋊C4—42no—
1561C4⋊C4—42no—
1562C4⋊C4—42no—
1563C4⋊C4—42no—
1564C4⋊C4—42no—
1565C4⋊C4—42no—
1566C4⋊C4—42no—
1567C4⋊C4—44no—
1568C4⋊C4—44no—
1569C4⋊C4—44no—
1570C4⋊C4—44no—
1571C4⋊C4—44no—
1572C4⋊C4—44no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—44no—
1576C22⋊C4—22no—
1577C22⋊C4—28no—
1578C22⋊C4—28no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—22no—
1583C22⋊C4—22no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—22no—
1588C22⋊C4—22no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—41no—
1592C22⋊C4—41no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—42no—
1603C22⋊C4—44no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
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—42no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
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⋊C4H(5,𝔽2)14yes—
1655C42—22no—
1656C42—22no—
1657C42—22no—
1658C42—22no—
1659C42—22no—
1660C42—22no—
1661C42—22no—
1662C42—22no—
1663C42—24no—
1664C42—28no—
1665C42—24no—
1666C42—24no—
1667C42—42no—
1668C42—42no—
1669C42—44no—
1670C42—44no—
1671C42—44no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—21no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—21no—
1723C23—21no—
1724C23—44no—
1725C23—44no—
1726C23—44no—
1727C23—48no—
1728C23—44no—
1729C23—82no—
1730C23—82no—
1731C23—82no—
1732C23—84no—
1733C23—84no—
1734C23—84no—
1735C23—84no—
1736C23—84no—
1737C23—84no—
1738C23C2×H(5,𝔽2)12yes—
1739C23C2×H(5,𝔽2)12yes—
1740C23C2×H(5,𝔽2)12yes—
1741C23C2×H(5,𝔽2)12yes—
1742C23C2611yescharacteristic
1743Q8—48no—
1744Q8—44no—
1745Q8—44no—
1746Q8—44no—
1747Q8—44no—
1748Q8—44no—
1749D4—48no—
1750D4—48no—
1751D4—48no—
1752D4—48no—
1753D4—48no—
1754D4—48no—
1755D4—48no—
1756D4—48no—
1757D4—44no—
1758D4—44no—
1759D4—44no—
1760D4—44no—
1761D4—44no—
1762D4—84no—
1763D4—84no—
1764D4—84no—
1765D4—84no—
1766D4—84no—
1767D4—84no—
1768D4—84no—
1769D4—84no—
1770D4—84no—
1771D4—84no—
1772D4—84no—
1773D4—84no—
1774D4—164no—
1775D4—164no—
1776D4—164no—
1777D4—164no—
1778D4—164no—
1779D4—164no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—24no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—24no—
1804C2×C4—24no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—24no—
1809C2×C4—24no—
1810C2×C4—22no—
1811C2×C4—24no—
1812C2×C4—24no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—21no—
1838C2×C4—24no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—21no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—24no—
1847C2×C4—21no—
1848C2×C4—22no—
1849C2×C4—24no—
1850C2×C4—22no—
1851C2×C4—21no—
1852C2×C4—44no—
1853C2×C4—44no—
1854C2×C4—44no—
1855C2×C4—48no—
1856C2×C4—48no—
1857C2×C4—48no—
1858C2×C4—44no—
1859C2×C4—44no—
1860C2×C4—44no—
1861C2×C4—44no—
1862C2×C4—44no—
1863C2×C4—48no—
1864C2×C4—48no—
1865C2×C4—48no—
1866C2×C4—48no—
1867C2×C4—48no—
1868C2×C4—84no—
1869C2×C4—84no—
1870C2×C4—84no—
1871C2×C4—84no—
1872C2×C4—84no—
1873C2×C4—84no—
1874C2×C4—82no—
1875C2×C4—164no—
1876C2×C4—164no—
1877C2×C4#560116yescomplemented
1878C2×C4C2×H(5,𝔽2)12yes—
1879C2×C4C2×H(5,𝔽2)12yes—
1880C2×C4C2×H(5,𝔽2)12yes—
1881C2×C4C2×H(5,𝔽2)12yes—
1882C2×C4C2×H(5,𝔽2)12yes—
1883C2×C4C2×H(5,𝔽2)12yes—
1884C2×C4C2×H(5,𝔽2)12yes—
1885C2×C4C2×H(5,𝔽2)12yes—
1886C2×C4#58512yes—
1887C22—22no—
1888C22—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—41no—
1906C22—41no—
1907C22—42no—
1908C22—42no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—41no—
1923C22—41no—
1924C22—42no—
1925C22—41no—
1926C22—42no—
1927C22—42no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—41no—
1933C22—42no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22—41no—
1938C22—42no—
1939C22—42no—
1940C22—42no—
1941C22—42no—
1942C22—88no—
1943C22—816no—
1944C22C2×#56014yes—
1945C22C22×H(5,𝔽2)11yescharacteristic
1946C22C22×H(5,𝔽2)11yescharacteristic
1947C22C22×H(5,𝔽2)11yescharacteristic
1948C22C22×H(5,𝔽2)11yescharacteristic
1949C22C2×#58511yescharacteristic
1950C222−1+611yescharacteristic
1951C222−1+611yescharacteristic
1952C4—22no—
1953C4—22no—
1954C4—22no—
1955C4—44no—
1956C4—44no—
1957C4—42no—
1958C4—42no—
1959C4—41no—
1960C4—41no—
1961C4—44no—
1962C4—42no—
1963C4—44no—
1964C4—42no—
1965C4—41no—
1966C4—42no—
1967C4—41no—
1968C4—41no—
1969C4—42no—
1970C4—42no—
1971C4—42no—
1972C4—42no—
1973C4—42no—
1974C4—41no—
1975C4—41no—
1976C4—42no—
1977C4C2×#56014yes—
1978C4C2×#56014yes—
1979C2—24no—
1980C2—42no—
1981C2—82no—
1982C2—82no—
1983C2—82no—
1984C2—82no—
1985C2—82no—
1986C2—81no—
1987C2C22×#56011yescharacteristic
1988C2#6283411yescharacteristic
1989C2#6288811yescharacteristic
1990C2#6291411yescharacteristic
1991C2#6291411yescharacteristic
1992C2#6292711yescharacteristic
1993C2#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. #53129C2semidirect
2. #53095C2semidirect
3. #53063C2semidirect
4. #53055C2semidirect
5. #53044C2semidirect
6. #53007C2semidirect
7. #52962C2semidirect
8. #52956C2semidirect
9. #52529C2semidirect
10. #52471C2semidirect
11. #46040C2semidirect
12. #45970C2semidirect
13. #45677C2semidirect
14. #45646C2semidirect
15. #45632C2semidirect
16. #45624C2semidirect
17. #45598C2semidirect
18. #45518C2semidirect
19. #45483C2semidirect
20. #45478C2semidirect
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×#2496C2semidirect
34. #34743C2semidirect
35. #34738C2semidirect
42. C2×#537C22semidirect
43. C2×#537C22semidirect
46. C2×#532C22semidirect
51. C2×#520C22semidirect
52. C2×#520C22semidirect
53. C2×C4×#41C22semidirect
54. #2857C22semidirect
55. #2856C22semidirect
56. #2856C22semidirect
57. #2855C22semidirect
58. #2854C22semidirect
59. #2852C22semidirect
64. #2841C22semidirect
65. #2838C22semidirect
66. #2837C22semidirect
67. #2837C22semidirect
68. #2830C22semidirect
69. #2829C22semidirect
70. #2829C22semidirect
71. #2828C22semidirect
72. #2828C22semidirect
74. #2827C22semidirect
75. #2826C22semidirect
76. #2826C22semidirect
77. #2825C22semidirect
78. #2824C22semidirect
79. #2823C22semidirect
80. #2818C22semidirect
81. #2815C22semidirect
82. #2813C22semidirect
84. #2807C22semidirect
85. #2803C22semidirect
86. #2797C22semidirect
88. #2796C22semidirect
89. #2792C22semidirect
90. #2790C22semidirect
91. #2784C22semidirect
92. #2780C22semidirect
93. #2778C22semidirect
94. #2757C22semidirect
95. #2752C22semidirect
96. #2748C22semidirect
98. #2742C22semidirect
99. #2737C22semidirect
101. #2714C22semidirect
102. #2714C22semidirect
103. #2714C22semidirect
104. #2709C22semidirect
105. #2705C22semidirect
106. #2705C22semidirect
107. #2705C22semidirect
108. #2705C22semidirect
109. #2703C22semidirect
110. #2703C22semidirect
111. #2693C22semidirect
115. #2691C22semidirect
117. #2688C22semidirect
122. #2673C22semidirect
124. #2656C22semidirect
125. #2643C22semidirect
126. #2625C22semidirect
127. #2624C22semidirect
128. #2620C22semidirect
129. #2620C22semidirect
134. #2543C22semidirect
135. #2543C22semidirect
136. #2542C22semidirect
137. #2542C22semidirect
138. #2541C22semidirect
139. #2541C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
142. #2540C22semidirect
143. #2540C22semidirect
144. #2538C22semidirect
145. #2538C22semidirect
146. #2538C22semidirect
147. #2538C22semidirect
150. #2537C22semidirect
151. #2537C22semidirect
154. #2535C22semidirect
155. #2535C22semidirect
156. #2514C22semidirect
157. #2513C22semidirect
158. #2512C22semidirect
159. #2511C22semidirect
160. #2502C22semidirect
161. #2501C22semidirect
162. #2500C22semidirect
163. #2499C22semidirect
164. #2497C22semidirect
169. #2496C22semidirect
170. #2496C22semidirect
171. #2496C22semidirect
172. #2496C22semidirect
173. #2496C22semidirect
174. #2495C22semidirect
175. #2494C22semidirect
176. #2487C22semidirect
177. #2486C22semidirect
178. #2485C22semidirect
179. #2485C22semidirect
180. #2448C22semidirect
181. #2447C22semidirect
182. #2446C22semidirect
183. #2445C22semidirect
184. #2444C22semidirect
185. #2444C22semidirect
186. #2443C22semidirect
187. #2443C22semidirect
188. #2443C22semidirect
189. #2443C22semidirect
203. #2429C22semidirect
204. #2429C22semidirect
205. #2429C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
209. #2428C22semidirect
211. #2427C22semidirect
212. #2427C22semidirect
213. #2427C22semidirect
215. #2426C22semidirect
216. #2426C22semidirect
217. #2426C22semidirect
218. #2425C22semidirect
219. #2425C22semidirect
220. #2425C22semidirect
221. #2425C22semidirect
226. #2423C22semidirect
227. #2423C22semidirect
228. #2423C22semidirect
229. #2422C22semidirect
230. #2422C22semidirect
231. #2422C22semidirect
232. #2421C22semidirect
233. #2420C22semidirect
234. #2417C22semidirect
235. #2417C22semidirect
236. #2417C22semidirect
237. #2417C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
244. #2416C22semidirect
245. #2416C22semidirect
248. #2415C22semidirect
249. #2415C22semidirect
250. #2414C22semidirect
251. #2414C22semidirect
252. #2414C22semidirect
253. #2414C22semidirect
266. C2×#400C22semidirect
268. #2392C22semidirect
273. #2377C22semidirect
274. #2376C22semidirect
275. #2317C22semidirect
276. #2317C22semidirect
281. #2311C22semidirect
282. #2311C22semidirect
284. C4×#121C22semidirect
289. #2297C22semidirect
290. #2296C22semidirect
291. C2×#389C22semidirect
292. C2×#389C22semidirect
293. C2×#387C22semidirect
294. C2×#384C22semidirect
297. C2×C4×C4⋊C4C22semidirect
1877. C2×C4#560semidirect

Maximal subgroups

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

subgroupindex
#531292
#530952
#530632
#530552
#530442
#530072
#529622
#529562
#525292
#524712
#460402
#459702
#456772
#456462
#456322
#456242
#455982
#455182
#454832
#454782
#355642
#355302
#355182
#355172
#352732
#352552
#352512
#351662
#351602
C2×#24962
#347432
#347382