Finite Group Databasebeta

← #8095337

Subgroups — #8095337

Order 512.

5439 conjugacy classes of subgroups.

The subgroup lattice has 1862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53152C212yesmaximal, complemented
2#53136C212yesmaximal, complemented
3#53066C212yesmaximal, complemented
4#53053C212yesmaximal, complemented
5#53047C212yesmaximal, complemented
6#53022C212yesmaximal, complemented
7#53011C212yesmaximal, complemented
8#53008C212yesmaximal, complemented
9#52723C214yesmaximal, complemented
10#52375C214yesmaximal, complemented
11#45751C214yesmaximal, complemented
12#45708C212yesmaximal, complemented
13#45677C212yesmaximal, complemented
14#45669C212yesmaximal, complemented
15#45632C212yesmaximal, complemented
16#45628C212yesmaximal, complemented
17#45556C214yesmaximal, complemented
18#45515C212yesmaximal, complemented
19#45503C212yesmaximal, complemented
20#45497C212yesmaximal, complemented
21#35666C211yesmaximal, characteristic, complemented
22#35660C211yesmaximal, characteristic, complemented
23#35659C211yesmaximal, characteristic, complemented
24#35634C211yesmaximal, characteristic, complemented
25#35630C211yesmaximal, characteristic, complemented
26#35545C211yesmaximal, characteristic, complemented
27#35316C211yesmaximal, characteristic, complemented
28#35306C211yesmaximal, characteristic, complemented
29#35306C211yesmaximal, characteristic, complemented
30#35255C211yesmaximal, characteristic, complemented
31#35182C211yesmaximal, characteristic, complemented
32#35178C211yesmaximal, characteristic, complemented
33#34810C211yesmaximal, characteristic, complemented
34#34743C211yesmaximal, characteristic, complemented
35C2×#2429C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#536C2211yescharacteristic
41C2×#536C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C22×C4⋊Q8C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C2×#525C2211yescharacteristic
46C2×#525C2211yescharacteristic
47C22×C22⋊Q8C2211yescharacteristic
48C22×C22⋊Q8C2211yescharacteristic
49C2×C4×#41C2211yescharacteristic
50C22×C4×Q8C2211yescharacteristic
51C22×#117C2211yescharacteristic
52#2857C2212yes—
53#2857C2212yes—
54#2857C2212yescomplemented
55#2857C2212yescomplemented
56#2855C2212yescomplemented
57#2854C2214yes—
58#2854C2212yescomplemented
59#2853C2214yes—
60#2850C2212yes—
61#2850C2212yes—
62#2843C2214yescomplemented
63#2841C2214yes—
64#2841C2214yescomplemented
65#2838C2214yes—
66#2838C2214yes—
67#2838C2214yescomplemented
68#2838C2214yescomplemented
69#2837C2214yescomplemented
70#2837C2214yescomplemented
71#2837C2214yescomplemented
72#2834C2214yescomplemented
73#2830C2214yes—
74#2829C2214yes—
75#2829C2214yescomplemented
76#2828C2214yes—
77#2827C2214yes—
78#2827C2214yescomplemented
79#2826C2214yes—
80#2825C2214yes—
81#2813C2214yes—
82#2807C2214yescomplemented
83#2807C2214yescomplemented
84#2807C2214yescomplemented
85#2803C2214yes—
86#2803C2214yescomplemented
87#2801C2214yescomplemented
88#2797C2214yes—
89#2796C2214yes—
90#2796C2214yescomplemented
91#2792C2214yescomplemented
92#2792C2214yescomplemented
93#2792C2214yescomplemented
94#2790C2214yescomplemented
95#2790C2214yescomplemented
96#2790C2214yescomplemented
97#2784C2214yes—
98#2780C2214yes—
99#2780C2214yescomplemented
100#2778C2214yes—
101#2778C2214yes—
102#2757C2214yes—
103#2757C2214yes—
104#2757C2214yescomplemented
105#2757C2214yescomplemented
106#2756C2214yes—
107#2756C2214yescomplemented
108#2749C2214yes—
109#2748C2214yes—
110#2748C2214yescomplemented
111#2746C2214yes—
112#2746C2214yescomplemented
113#2742C2214yes—
114#2742C2214yescomplemented
115#2737C2214yes—
116#2737C2214yes—
117#2705C2214yes—
118#2705C2214yescomplemented
119#2703C2214yes—
120#2693C2214yes—
121#2691C2214yes—
122#2625C2212yescomplemented
123#2624C2212yescomplemented
124#2623C2214yes—
125#2621C2212yes—
126#2621C2212yes—
127#2621C2212yescomplemented
128#2621C2212yescomplemented
129#2620C2212yes—
130#2620C2212yes—
131#2618C2214yes—
132#2548C2212yescomplemented
133#2547C2212yescomplemented
134#2547C2212yescomplemented
135#2546C2212yescomplemented
136#2546C2212yescomplemented
137#2546C2212yescomplemented
138#2545C2212yescomplemented
139#2545C2212yescomplemented
140#2542C2212yes—
141#2542C2212yes—
142#2542C2212yes—
143#2542C2212yes—
144#2540C2212yes—
145#2540C2212yes—
146#2540C2212yes—
147#2540C2212yes—
148#2539C2214yes—
149#2538C2212yescomplemented
150#2538C2212yescomplemented
151#2536C2212yescomplemented
152#2536C2212yescomplemented
153#2514C2212yescomplemented
154#2514C2212yescomplemented
155#2514C2212yescomplemented
156#2514C2212yescomplemented
157#2514C2212yescomplemented
158#2513C2212yescomplemented
159#2512C2212yescomplemented
160#2511C2212yescomplemented
161#2511C2212yescomplemented
162#2511C2212yescomplemented
163#2511C2212yescomplemented
164#2511C2212yescomplemented
165#2510C2214yes—
166#2504C2211yescharacteristic
167#2503C2211yescharacteristic
168#2502C2211yescharacteristic
169#2501C2214yes—
170#2501C2211yescharacteristic
171#2500C2211yescharacteristic
172#2500C2211yescharacteristic
173#2499C2211yescharacteristic
174#2499C2211yescharacteristic
175#2498C2212yes—
176#2498C2212yes—
177#2497C2212yescomplemented
178#2496C2212yescomplemented
179#2495C2212yescomplemented
180#2494C2212yescomplemented
181#2493C2214yes—
182#2493C2214yes—
183#2486C2214yes—
184#2486C2214yes—
185#2481C2214yes—
186#2448C2212yescomplemented
187#2448C2212yescomplemented
188#2446C2212yescomplemented
189#2446C2212yescomplemented
190#2444C2214yes—
191#2443C2214yes—
192#2436C2212yescomplemented
193#2434C2212yescomplemented
194#2434C2212yescomplemented
195#2434C2212yescomplemented
196#2434C2212yescomplemented
197#2434C2212yescomplemented
198#2432C2212yescomplemented
199#2432C2212yescomplemented
200#2432C2212yescomplemented
201#2432C2212yescomplemented
202#2432C2212yescomplemented
203#2431C2212yescomplemented
204#2430C2214yes—
205#2430C2214yes—
206#2429C2211yescharacteristic
207#2429C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2429C2212yes—
211#2429C2212yes—
212#2429C2212yes—
213#2429C2212yes—
214#2429C2212yes—
215#2429C2211yescharacteristic
216#2428C2211yescharacteristic
217#2428C2211yescharacteristic
218#2427C2211yescharacteristic
219#2427C2211yescharacteristic
220#2426C2211yescharacteristic
221#2426C2211yescharacteristic
222#2425C2212yes—
223#2425C2212yes—
224#2424C2212yes—
225#2424C2212yes—
226#2423C2212yescomplemented
227#2423C2212yescomplemented
228#2423C2212yescomplemented
229#2422C2212yescomplemented
230#2421C2212yescomplemented
231#2421C2212yescomplemented
232#2421C2212yescomplemented
233#2420C2212yescomplemented
234#2417C2212yes—
235#2417C2212yes—
236#2417C2212yes—
237#2417C2212yes—
238#2415C2212yes—
239#2415C2212yes—
240#2415C2212yes—
241#2415C2212yes—
242#2413C2214yes—
243#2413C2214yes—
244#2412C2212yes—
245#2412C2214yes—
246#2412C2214yes—
247#2412C2212yes—
248#2409C2212yes—
249#2409C2212yes—
250#2409C2212yes—
251#2409C2212yes—
252#2409C2212yescomplemented
253#2409C2212yescomplemented
254#2407C2212yes—
255#2407C2212yes—
256#2407C2212yes—
257#2407C2212yes—
258#2407C2212yescomplemented
259#2407C2212yescomplemented
260#2406C2214yes—
261#2406C2214yes—
262#2406C2214yes—
263#2404C2214yes—
264#2395C2212yes—
265#2395C2212yes—
266#2392C2212yes—
267#2392C2212yes—
268C2×#398C2212yes—
269C2×#396C2212yes—
270#2383C2214yescomplemented
271#2377C2214yes—
272#2376C2214yes—
273#2376C2214yescomplemented
274#2317C2211yescharacteristic
275#2317C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2310C2211yescharacteristic
281#2310C2211yescharacteristic
282#2310C2211yescharacteristic
283C4×#123C2212yes—
284C4×#123C2212yes—
285C4×#121C2212yes—
286C4×#121C2212yes—
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289#2297C2211yescharacteristic
290#2296C2211yescharacteristic
291C2×#391C2211yescharacteristic
292C2×#389C2211yescharacteristic
293C2×#389C2212yes—
294C2×#388C2212yes—
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
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×Q8C2311yescharacteristic
310C23×Q8C2312yes—
311C23×Q8C2312yes—
312C24×C4C2311yescharacteristic
313#537—44no—
314#536—44no—
315#536—44no—
316#536—44no—
317#536—44no—
318#532—44no—
319C2×C4⋊Q8—44no—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2312yes—
325C2×C4⋊Q8C2312yes—
326C2×C4⋊Q8C2311yescharacteristic
327C2×C4⋊Q8C2312yes—
328C2×C4⋊Q8C2312yes—
329C2×#127C2311yescharacteristic
330C2×#126C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2312yes—
337#525—44no—
338#525—44no—
339#525—44no—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2314yes—
349C2×#123C2312yes—
350C2×C22⋊Q8—44no—
351C2×C22⋊Q8—44no—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
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⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2311yescharacteristic
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×#121C2312yes—
377C2×#121C2311yescharacteristic
378C2×#121C2311yescharacteristic
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2311yescharacteristic
383C2×#121C2311yescharacteristic
384C2×#121C2311yescharacteristic
385C2×#121C2311yescharacteristic
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#120C2312yes—
390C2×#120C2312yes—
391C2×#120C2312yes—
392C4×#41—44no—
393C2×C4×Q8—44no—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2311yescharacteristic
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×#117—44no—
413C2×#117C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C2×#117C2311yescharacteristic
416C2×#117C2311yescharacteristic
417C2×#117C2311yescharacteristic
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2311yescharacteristic
422C2×#117C2311yescharacteristic
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2311yescharacteristic
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2311yescharacteristic
432C22×C4⋊C4C2311yescharacteristic
433C22×C22⋊C4C2311yescharacteristic
434C22×C22⋊C4C2311yescharacteristic
435C22×C22⋊C4C2312yes—
436C22×C22⋊C4C2312yes—
437C22×C22⋊C4C2312yes—
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440C22×C42C2312yes—
441C22×C42C2312yes—
442C22×C42C2312yes—
443#401C2314yes—
444#401C2314yes—
445#401C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2312yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2312yes—
459#400C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#399C2312yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#399C2312yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2312yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2312yes—
489#398C2314yes—
490#398C2312yes—
491#398C2312yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2312yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2312yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2312yes—
510#397C2314yes—
511#397C2312yes—
512#397C2312yes—
513#397C2312yes—
514#397C2312yes—
515#397C2312yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2312yes—
527#396C2312yes—
528#396C2312yes—
529#396C2314yes—
530#396C2312yes—
531#396C2314yes—
532#396C2314yes—
533#395C2314yes—
534#395C2314yes—
535#395C2314yes—
536#395C2314yes—
537#395C2314yes—
538#395C2314yes—
539#395C2314yes—
540#395C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2312yes—
545#394C2312yes—
546#394C2314yes—
547#394C2312yes—
548#394C2314yes—
549#394C2312yes—
550#394C2314yes—
551#394C2312yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2312yes—
562#394C2312yes—
563#394C2312yes—
564#394C2312yes—
565#394C2312yes—
566#394C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#392C2312yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2312yes—
577#392C2314yes—
578#392C2314yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2311yescharacteristic
596#391C2311yescharacteristic
597#391C2312yes—
598#391C2312yes—
599#391C2311yescharacteristic
600#391C2311yescharacteristic
601#391C2311yescharacteristic
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2314yes—
613#390C2314yes—
614#390C2311yescharacteristic
615#390C2311yescharacteristic
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2311yescharacteristic
620#390C2311yescharacteristic
621#390C2312yes—
622#390C2312yes—
623#390C2311yescharacteristic
624#390C2311yescharacteristic
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2314yes—
630#389C2314yes—
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2314yes—
635#389C2314yes—
636#389C2312yes—
637#389C2314yes—
638#389C2314yes—
639#389C2314yes—
640#389C2314yes—
641#389C2312yes—
642#389C2314yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2312yes—
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2314yes—
716#386C2312yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2314yes—
742#385C2312yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2312yes—
753#384C2312yes—
754#384C2312yes—
755#384C2314yes—
756#384C2311yescharacteristic
757#384C2311yescharacteristic
758#384C2314yes—
759#384C2311yescharacteristic
760#384C2311yescharacteristic
761#383C2314yes—
762#383C2314yes—
763#383C2314yes—
764#382C2312yes—
765#382C2312yes—
766#382C2311yescharacteristic
767#382C2311yescharacteristic
768#382C2311yescharacteristic
769#382C2311yescharacteristic
770#381C2314yes—
771#381C2314yes—
772#381C2314yes—
773#381C2312yes—
774#381C2314yes—
775#381C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2314yes—
785#380C2314yes—
786#380C2312yes—
787#380C2314yes—
788#380C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2314yes—
792#380C2314yes—
793#380C2314yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2314yes—
823C2×#95C2312yes—
824C2×#95C2311yescharacteristic
825C2×#95C2312yes—
826C2×#95C2311yescharacteristic
827C2×#95C2312yes—
828C25C2411yescharacteristic
8292−1+4—464no—
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—48no—
840C2×#41—48no—
841C2×#41—48no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—44no—
847C2×#41—44no—
848C22×Q8—24no—
849C22×Q8—24no—
850C22×Q8—24no—
851C22×Q8—24no—
852C22×Q8—24no—
853C22×Q8—24no—
854C22×Q8—44no—
855C22×Q8—44no—
856C22×Q8—44no—
857C22×Q8—44no—
858C22×Q8—44no—
859C22×Q8—44no—
860C22×Q8C2412yes—
861C22×Q8C2412yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2414yes—
868C22×D4C2412yes—
869C22×D4C2411yescharacteristic
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2411yescharacteristic
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C23×C4—24no—
885C23×C4—24no—
886C23×C4—24no—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2414yes—
908C23×C4C2414yes—
909C23×C4C2411yescharacteristic
910C4⋊Q8—44no—
911C4⋊Q8—44no—
912C4⋊Q8—44no—
913C4⋊Q8—44no—
914C4⋊Q8—42no—
915C4⋊Q8—44no—
916C4⋊Q8—44no—
917C4⋊Q8—44no—
918C4⋊Q8—44no—
919#127—42no—
920#126—48no—
921#124—42no—
922#124—42no—
923#124—44no—
924#124—44no—
925#124—44no—
926#124—44no—
927#123—28no—
928#123—44no—
929#123—48no—
930#123—44no—
931#123—44no—
932#123—44no—
933#123—48no—
934#123—48no—
935#123—48no—
936#123—48no—
937C22⋊Q8—44no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940C22⋊Q8—44no—
941C22⋊Q8—44no—
942C22⋊Q8—44no—
943C22⋊Q8—44no—
944C22⋊Q8—44no—
945C22⋊Q8—42no—
946C22⋊Q8—42no—
947C22⋊Q8—42no—
948C22⋊Q8—42no—
949C22⋊Q8—42no—
950C22⋊Q8—42no—
951C22⋊Q8—44no—
952C22⋊Q8—44no—
953C22⋊Q8—44no—
954C22⋊Q8—44no—
955C22⋊Q8—44no—
956C22⋊Q8—44no—
957C22⋊Q8—44no—
958C22⋊Q8—44no—
959C22⋊Q8—44no—
960C22⋊Q8—44no—
961#121—28no—
962#121—44no—
963#121—42no—
964#121—42no—
965#121—42no—
966#121—42no—
967#121—42no—
968#121—42no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—48no—
974#120—44no—
975#120—44no—
976#120—44no—
977C4×Q8—44no—
978C4×Q8—44no—
979C4×Q8—44no—
980C4×Q8—44no—
981C4×Q8—42no—
982C4×Q8—42no—
983C4×D4—42no—
984C4×D4—42no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995#117—24no—
996#117—24no—
997#117—24no—
998#117—24no—
999#117—24no—
1000#117—44no—
1001#117—44no—
1002#117—44no—
1003#117—42no—
1004#117—42no—
1005C2×C4⋊C4—24no—
1006C2×C4⋊C4—24no—
1007C2×C4⋊C4—44no—
1008C2×C4⋊C4—42no—
1009C2×C4⋊C4—42no—
1010C2×C4⋊C4—44no—
1011C2×C4⋊C4—44no—
1012C2×C4⋊C4—44no—
1013C2×C4⋊C4—44no—
1014C2×C4⋊C4—44no—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
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×C22⋊C4—24no—
1079C2×C22⋊C4—42no—
1080C2×C22⋊C4—44no—
1081C2×C22⋊C4—44no—
1082C2×C22⋊C4—44no—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C42—24no—
1151C2×C42—24no—
1152C2×C42—44no—
1153C2×C42—44no—
1154C2×C42—44no—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2414yes—
1173C2×C42C2414yes—
1174C2×C42C2414yes—
1175C2×C42C2414yes—
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
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—
1240C24—22no—
1241C24—22no—
1242C24—22no—
1243C24—22no—
1244C24—41no—
1245C24—41no—
1246C24—41no—
1247C24C2511yescharacteristic
1248C24C2512yes—
1249C24C2512yes—
1250C24C2512yes—
1251C24C2511yescharacteristic
1252C24C2511yescharacteristic
1253#41—464no—
1254#41—432no—
1255#41—432no—
1256#41—416no—
1257#41—416no—
1258#41—416no—
1259C2×Q8—24no—
1260C2×Q8—22no—
1261C2×Q8—24no—
1262C2×Q8—24no—
1263C2×Q8—22no—
1264C2×Q8—24no—
1265C2×Q8—24no—
1266C2×Q8—24no—
1267C2×Q8—24no—
1268C2×Q8—24no—
1269C2×Q8—22no—
1270C2×Q8—22no—
1271C2×Q8—22no—
1272C2×Q8—24no—
1273C2×Q8—24no—
1274C2×Q8—22no—
1275C2×Q8—22no—
1276C2×Q8—24no—
1277C2×Q8—24no—
1278C2×Q8—22no—
1279C2×Q8—22no—
1280C2×Q8—44no—
1281C2×Q8—44no—
1282C2×Q8—44no—
1283C2×Q8—432no—
1284C2×Q8—432no—
1285C2×Q8—416no—
1286C2×Q8—416no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—24no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—22no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—22no—
1352C22×C4—24no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—42no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—42no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—41no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4—42no—
1400C22×C4—41no—
1401C22×C4—416no—
1402C22×C4H(5,𝔽2)14yes—
1403C22×C4H(5,𝔽2)14yes—
1404C22×C4H(5,𝔽2)14yes—
1405C22×C4C2512yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2514yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2514yes—
1421C22×C4C2512yes—
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2514yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2514yes—
1427C22×C4C2512yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—28no—
1452C4⋊C4—24no—
1453C4⋊C4—44no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—42no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—22no—
1503C22⋊C4—22no—
1504C22⋊C4—22no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C42−1+414yescomplemented
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—24no—
1573C42—24no—
1574C42—24no—
1575C42—24no—
1576C42—24no—
1577C42—42no—
1578C42—42no—
1579C42—42no—
1580C42—42no—
1581C42—44no—
1582C42—44no—
1583C42—44no—
1584C42—44no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—22no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—21no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—21no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—21no—
1622C23—21no—
1623C23—44no—
1624C23—44no—
1625C23—44no—
1626C23—44no—
1627C23—82no—
1628C23—82no—
1629C23—82no—
1630C23C2×H(5,𝔽2)12yes—
1631C23C2×H(5,𝔽2)12yes—
1632C23C2×H(5,𝔽2)12yes—
1633C23C2×2−1+412yes—
1634C23C2611yescharacteristic
1635Q8—416no—
1636Q8—48no—
1637Q8—48no—
1638Q8—48no—
1639Q8—44no—
1640Q8—48no—
1641Q8—44no—
1642Q8—44no—
1643D4—416no—
1644D4—48no—
1645D4—48no—
1646D4—48no—
1647D4—44no—
1648D4—44no—
1649D4—44no—
1650D4—84no—
1651D4—84no—
1652D4—84no—
1653D4—84no—
1654D4—84no—
1655D4—84no—
1656D4—84no—
1657D4—84no—
1658D4—164no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—24no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—44no—
1738C2×C4—44no—
1739C2×C4—44no—
1740C2×C4—48no—
1741C2×C4—416no—
1742C2×C4—416no—
1743C2×C4—44no—
1744C2×C4—48no—
1745C2×C4—48no—
1746C2×C4—44no—
1747C2×C4—44no—
1748C2×C4—44no—
1749C2×C4—44no—
1750C2×C4—48no—
1751C2×C4—48no—
1752C2×C4—48no—
1753C2×C4—84no—
1754C2×C4—84no—
1755C2×C4—84no—
1756C2×C4—82no—
1757C2×C4—84no—
1758C2×C4—84no—
1759C2×C4#560116yes—
1760C2×C4C2×H(5,𝔽2)12yes—
1761C2×C4C2×H(5,𝔽2)12yes—
1762C2×C4C2×H(5,𝔽2)12yes—
1763C2×C4C2×H(5,𝔽2)12yes—
1764C2×C4C2×H(5,𝔽2)12yes—
1765C2×C4C2×H(5,𝔽2)12yes—
1766C2×C4C2×2−1+412yes—
1767C2×C4C2×2−1+412yes—
1768C2×C4#58512yes—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—41no—
1786C22—41no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—41no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—41no—
1801C22—41no—
1802C22—42no—
1803C22—42no—
1804C22—41no—
1805C22—42no—
1806C22—42no—
1807C22—41no—
1808C22—42no—
1809C22—42no—
1810C22—88no—
1811C22C2×#56014yes—
1812C22C22×H(5,𝔽2)11yescharacteristic
1813C22C22×H(5,𝔽2)11yescharacteristic
1814C22C22×H(5,𝔽2)11yescharacteristic
1815C22C22×2−1+411yescharacteristic
1816C22C2×#58511yescharacteristic
1817C222−1+611yescharacteristic
1818C222−1+611yescharacteristic
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C4—44no—
1829C4—41no—
1830C4—41no—
1831C4—42no—
1832C4—41no—
1833C4—41no—
1834C4—42no—
1835C4—42no—
1836C4—41no—
1837C4—41no—
1838C4—42no—
1839C4—42no—
1840C4—44no—
1841C4—42no—
1842C4—44no—
1843C4—41no—
1844C4—42no—
1845C4—44no—
1846C4C2×#56014yes—
1847C4C2×#56014yes—
1848C2—24no—
1849C2—42no—
1850C2—82no—
1851C2—82no—
1852C2—82no—
1853C2—81no—
1854C2C22×#56011yescharacteristic
1855C2#6283511yescharacteristic
1856C2#6288811yescharacteristic
1857C2#6292511yescharacteristic
1858C2#6294211yescharacteristic
1859C2#6294211yescharacteristic
1860C2#6295411yescharacteristic
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. #53152C2semidirect
2. #53136C2semidirect
3. #53066C2semidirect
4. #53053C2semidirect
5. #53047C2semidirect
6. #53022C2semidirect
7. #53011C2semidirect
8. #53008C2semidirect
9. #52723C2semidirect
10. #52375C2semidirect
11. #45751C2semidirect
12. #45708C2semidirect
13. #45677C2semidirect
14. #45669C2semidirect
15. #45632C2semidirect
16. #45628C2semidirect
17. #45556C2semidirect
18. #45515C2semidirect
19. #45503C2semidirect
20. #45497C2semidirect
21. #35666C2semidirect
22. #35660C2semidirect
23. #35659C2semidirect
24. #35634C2semidirect
25. #35630C2semidirect
26. #35545C2semidirect
27. #35316C2semidirect
28. #35306C2semidirect
29. #35306C2semidirect
30. #35255C2semidirect
31. #35182C2semidirect
32. #35178C2semidirect
33. #34810C2semidirect
34. #34743C2semidirect
35. C2×#2429C2semidirect
54. #2857C22semidirect
55. #2857C22semidirect
56. #2855C22semidirect
58. #2854C22semidirect
62. #2843C22semidirect
64. #2841C22semidirect
67. #2838C22semidirect
68. #2838C22semidirect
69. #2837C22semidirect
70. #2837C22semidirect
71. #2837C22semidirect
72. #2834C22semidirect
75. #2829C22semidirect
78. #2827C22semidirect
82. #2807C22semidirect
83. #2807C22semidirect
84. #2807C22semidirect
86. #2803C22semidirect
87. #2801C22semidirect
90. #2796C22semidirect
91. #2792C22semidirect
92. #2792C22semidirect
93. #2792C22semidirect
94. #2790C22semidirect
95. #2790C22semidirect
96. #2790C22semidirect
99. #2780C22semidirect
104. #2757C22semidirect
105. #2757C22semidirect
107. #2756C22semidirect
110. #2748C22semidirect
112. #2746C22semidirect
114. #2742C22semidirect
118. #2705C22semidirect
122. #2625C22semidirect
123. #2624C22semidirect
127. #2621C22semidirect
128. #2621C22semidirect
132. #2548C22semidirect
133. #2547C22semidirect
134. #2547C22semidirect
135. #2546C22semidirect
136. #2546C22semidirect
137. #2546C22semidirect
138. #2545C22semidirect
139. #2545C22semidirect
149. #2538C22semidirect
150. #2538C22semidirect
151. #2536C22semidirect
152. #2536C22semidirect
153. #2514C22semidirect
154. #2514C22semidirect
155. #2514C22semidirect
156. #2514C22semidirect
157. #2514C22semidirect
158. #2513C22semidirect
159. #2512C22semidirect
160. #2511C22semidirect
161. #2511C22semidirect
162. #2511C22semidirect
163. #2511C22semidirect
164. #2511C22semidirect
177. #2497C22semidirect
178. #2496C22semidirect
179. #2495C22semidirect
180. #2494C22semidirect
186. #2448C22semidirect
187. #2448C22semidirect
188. #2446C22semidirect
189. #2446C22semidirect
192. #2436C22semidirect
193. #2434C22semidirect
194. #2434C22semidirect
195. #2434C22semidirect
196. #2434C22semidirect
197. #2434C22semidirect
198. #2432C22semidirect
199. #2432C22semidirect
200. #2432C22semidirect
201. #2432C22semidirect
202. #2432C22semidirect
203. #2431C22semidirect
226. #2423C22semidirect
227. #2423C22semidirect
228. #2423C22semidirect
229. #2422C22semidirect
230. #2421C22semidirect
231. #2421C22semidirect
232. #2421C22semidirect
233. #2420C22semidirect
252. #2409C22semidirect
253. #2409C22semidirect
258. #2407C22semidirect
259. #2407C22semidirect
270. #2383C22semidirect
273. #2376C22semidirect
1563. C22⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
#531522
#531362
#530662
#530532
#530472
#530222
#530112
#530082
#527232
#523752
#457512
#457082
#456772
#456692
#456322
#456282
#455562
#455152
#455032
#454972
#356662
#356602
#356592
#356342
#356302
#355452
#353162
#353062
#352552
#351822
#351782
#348102
#347432
C2×#24292