Finite Group Databasebeta

← #8095318

Subgroups — #8095318

Order 512.

5455 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53087C212yesmaximal, complemented
2#53085C212yesmaximal, complemented
3#53045C212yesmaximal, complemented
4#53045C212yesmaximal, complemented
5#53043C212yesmaximal, complemented
6#53041C212yesmaximal, complemented
7#53007C212yesmaximal, complemented
8#53006C212yesmaximal, complemented
9#52723C214yesmaximal, complemented
10#52347C214yesmaximal, complemented
11#46063C212yesmaximal, complemented
12#46061C212yesmaximal, complemented
13#46020C212yesmaximal, complemented
14#46002C212yesmaximal, complemented
15#45751C214yesmaximal, complemented
16#45624C212yesmaximal, complemented
17#45624C212yesmaximal, complemented
18#45622C212yesmaximal, complemented
19#45588C214yesmaximal, complemented
20#45493C212yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35667C211yesmaximal, characteristic, complemented
23#35661C211yesmaximal, characteristic, complemented
24#35633C211yesmaximal, characteristic, complemented
25#35621C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35317C211yesmaximal, characteristic, complemented
28#35305C211yesmaximal, characteristic, complemented
29#35305C211yesmaximal, characteristic, complemented
30#35267C211yesmaximal, characteristic, complemented
31#35182C211yesmaximal, characteristic, complemented
32#35178C211yesmaximal, characteristic, complemented
33#34814C211yesmaximal, characteristic, complemented
34#34738C211yesmaximal, characteristic
35C2×#2429C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#536C2211yescharacteristic
41C2×#536C2211yescharacteristic, complemented
42C2×#536C2211yescharacteristic, complemented
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C22×C4⋊Q8C2211yescharacteristic, complemented
46C2×#525C2211yescharacteristic
47C22×C22⋊Q8C2211yescharacteristic
48C22×C22⋊Q8C2211yescharacteristic
49C2×#520C2211yescharacteristic, complemented
50C2×#519C2211yescharacteristic, complemented
51C22×C4×Q8C2211yescharacteristic, complemented
52#2868C2212yescomplemented
53#2863C2212yescomplemented
54#2860C2212yescomplemented
55#2858C2212yescomplemented
56#2854C2214yescomplemented
57#2853C2214yescomplemented
58#2848C2212yes—
59#2848C2212yes—
60#2848C2212yes—
61#2848C2212yes—
62#2843C2214yescomplemented
63#2842C2214yes—
64#2841C2214yescomplemented
65#2838C2214yescomplemented
66#2838C2214yescomplemented
67#2837C2214yescomplemented
68#2837C2214yescomplemented
69#2837C2214yescomplemented
70#2837C2214yescomplemented
71#2837C2214yescomplemented
72#2837C2214yescomplemented
73#2834C2214yescomplemented
74#2829C2214yescomplemented
75#2829C2214yescomplemented
76#2829C2214yescomplemented
77#2829C2214yescomplemented
78#2827C2214yes—
79#2827C2214yescomplemented
80#2826C2214yescomplemented
81#2823C2214yescomplemented
82#2807C2214yescomplemented
83#2807C2214yescomplemented
84#2807C2214yescomplemented
85#2803C2214yescomplemented
86#2803C2214yescomplemented
87#2801C2214yescomplemented
88#2801C2214yescomplemented
89#2796C2214yes—
90#2796C2214yescomplemented
91#2795C2214yescomplemented
92#2795C2214yescomplemented
93#2795C2214yescomplemented
94#2792C2214yescomplemented
95#2792C2214yescomplemented
96#2792C2214yescomplemented
97#2790C2214yes—
98#2790C2214yes—
99#2790C2214yes—
100#2790C2214yescomplemented
101#2790C2214yescomplemented
102#2790C2214yescomplemented
103#2780C2214yes—
104#2780C2214yescomplemented
105#2757C2214yescomplemented
106#2757C2214yescomplemented
107#2756C2214yescomplemented
108#2756C2214yescomplemented
109#2752C2214yescomplemented
110#2748C2214yescomplemented
111#2746C2214yes—
112#2746C2214yescomplemented
113#2742C2214yescomplemented
114#2735C2214yes—
115#2735C2214yes—
116#2735C2214yes—
117#2705C2214yescomplemented
118#2705C2214yescomplemented
119#2697C2214yes—
120#2685C2214yes—
121#2685C2214yes—
122#2658C2212yescomplemented
123#2658C2212yescomplemented
124#2645C2212yescomplemented
125#2644C2212yescomplemented
126#2623C2214yescomplemented
127#2618C2214yescomplemented
128#2616C2212yes—
129#2616C2212yes—
130#2616C2212yes—
131#2616C2212yes—
132#2548C2212yescomplemented
133#2547C2212yescomplemented
134#2546C2212yescomplemented
135#2546C2212yescomplemented
136#2546C2212yescomplemented
137#2546C2212yescomplemented
138#2545C2212yescomplemented
139#2545C2212yescomplemented
140#2545C2212yescomplemented
141#2545C2212yescomplemented
142#2545C2212yescomplemented
143#2544C2212yescomplemented
144#2542C2212yescomplemented
145#2542C2212yescomplemented
146#2542C2212yescomplemented
147#2542C2212yescomplemented
148#2538C2212yes—
149#2538C2212yescomplemented
150#2538C2212yescomplemented
151#2538C2212yescomplemented
152#2536C2212yes—
153#2536C2212yescomplemented
154#2536C2212yescomplemented
155#2536C2212yescomplemented
156#2534C2214yes—
157#2510C2214yescomplemented
158#2501C2214yescomplemented
159#2501C2214yescomplemented
160#2498C2214yescomplemented
161#2498C2214yescomplemented
162#2497C2211yescharacteristic
163#2497C2211yescharacteristic, complemented
164#2497C2212yescomplemented
165#2496C2211yescharacteristic
166#2496C2211yescharacteristic, complemented
167#2496C2212yescomplemented
168#2495C2211yescharacteristic
169#2495C2211yescharacteristic, complemented
170#2495C2212yescomplemented
171#2494C2211yescharacteristic
172#2494C2211yescharacteristic, complemented
173#2494C2212yescomplemented
174#2493C2212yescomplemented
175#2493C2212yescomplemented
176#2487C2212yescomplemented
177#2486C2212yescomplemented
178#2486C2214yescomplemented
179#2485C2212yescomplemented
180#2485C2212yescomplemented
181#2481C2214yescomplemented
182#2480C2212yes—
183#2480C2212yes—
184#2448C2212yescomplemented
185#2448C2212yescomplemented
186#2448C2212yescomplemented
187#2448C2212yescomplemented
188#2448C2212yescomplemented
189#2447C2212yescomplemented
190#2446C2212yescomplemented
191#2446C2212yescomplemented
192#2446C2212yescomplemented
193#2446C2212yescomplemented
194#2446C2212yescomplemented
195#2445C2212yescomplemented
196#2444C2214yescomplemented
197#2443C2214yescomplemented
198#2436C2211yescharacteristic
199#2435C2211yescharacteristic
200#2435C2212yes—
201#2435C2212yes—
202#2434C2212yes—
203#2434C2212yes—
204#2434C2211yescharacteristic
205#2433C2211yescharacteristic
206#2432C2211yescharacteristic
207#2432C2212yes—
208#2432C2212yes—
209#2432C2212yes—
210#2432C2212yes—
211#2432C2211yescharacteristic
212#2431C2211yescharacteristic
213#2431C2211yescharacteristic
214#2430C2212yes—
215#2430C2212yes—
216#2429C2212yes—
217#2429C2212yes—
218#2429C2212yes—
219#2429C2212yes—
220#2429C2212yes—
221#2429C2212yes—
222#2429C2212yescomplemented
223#2429C2212yescomplemented
224#2429C2212yescomplemented
225#2429C2212yescomplemented
226#2429C2212yescomplemented
227#2429C2212yescomplemented
228#2429C2212yescomplemented
229#2429C2212yescomplemented
230#2429C2212yescomplemented
231#2429C2212yescomplemented
232#2427C2212yes—
233#2427C2212yescomplemented
234#2426C2212yes—
235#2426C2212yescomplemented
236#2425C2214yescomplemented
237#2425C2214yescomplemented
238#2423C2212yescomplemented
239#2423C2212yescomplemented
240#2423C2212yescomplemented
241#2423C2212yescomplemented
242#2421C2212yescomplemented
243#2421C2212yescomplemented
244#2421C2212yescomplemented
245#2421C2212yescomplemented
246#2417C2212yes—
247#2417C2212yescomplemented
248#2417C2212yescomplemented
249#2417C2212yescomplemented
250#2415C2212yes—
251#2415C2212yescomplemented
252#2415C2212yescomplemented
253#2415C2212yescomplemented
254#2413C2214yescomplemented
255#2413C2214yescomplemented
256#2413C2214yescomplemented
257#2411C2214yes—
258#2410C2212yes—
259#2410C2212yes—
260#2406C2214yes—
261#2406C2214yes—
262#2405C2214yes—
263#2405C2214yes—
264#2401C2212yes—
265#2401C2212yescomplemented
266C2×#398C2212yescomplemented
267C2×#396C2212yes—
268#2388C2212yes—
269#2388C2212yes—
270#2383C2214yes—
271#2383C2214yescomplemented
272#2376C2214yescomplemented
273#2375C2214yes—
274#2317C2211yescharacteristic, complemented
275#2316C2211yescharacteristic, complemented
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic, complemented
281#2310C2211yescharacteristic, complemented
282C4×#126C2212yes—
283C4×#126C2212yescomplemented
284C4×#120C2212yes—
285C4×#120C2212yes—
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2296C2211yescharacteristic, complemented
289#2296C2211yescharacteristic, complemented
290C2×#391C2211yescharacteristic, complemented
291C2×#389C2212yescomplemented
292C2×#389C2211yescharacteristic, complemented
293C2×#388C2212yes—
294#2285C2211yescharacteristic, complemented
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—44no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C23×Q8C2311yescharacteristic
310C23×Q8C2311yescharacteristic
311C23×Q8C2311yescharacteristic
312C23×D4C2312yes—
313C23×D4C2311yescharacteristic
314C24×C4C2311yescharacteristic
315C24×C4C2312yes—
316#536—44no—
317#536—44no—
318#536—44no—
319#536—44no—
320#536—44no—
321#536—44no—
322#532—44no—
323#532—44no—
324C2×C4⋊Q8—44no—
325C2×C4⋊Q8C2312yes—
326C2×C4⋊Q8C2311yescharacteristic
327C2×C4⋊Q8C2312yes—
328C2×C4⋊Q8C2312yes—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×#127C2311yescharacteristic
338C2×#127C2311yescharacteristic
339C2×#126C2312yes—
340C2×#126C2312yes—
341C2×#126C2314yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2311yescharacteristic
347C2×#124C2311yescharacteristic
348C2×#124C2311yescharacteristic
349C2×#124C2311yescharacteristic
350C2×#124C2312yes—
351C2×#124C2312yes—
352#525—44no—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2312yes—
361C2×C22⋊Q8—44no—
362C2×C22⋊Q8—44no—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2311yescharacteristic
380C2×C22⋊Q8C2311yescharacteristic
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2311yescharacteristic
390C2×#121C2311yescharacteristic
391C2×#120C2312yes—
392C2×#120C2312yes—
393C2×#120C2312yes—
394#520—44no—
395#519—44no—
396C2×C4×Q8—44no—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×#117C2311yescharacteristic
415C2×#117C2311yescharacteristic
416C2×#117C2311yescharacteristic
417C2×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2314yes—
420C2×#117C2312yes—
421C22×C4⋊C4C2311yescharacteristic
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C22⋊C4C2311yescharacteristic
431C22×C22⋊C4C2311yescharacteristic
432C22×C22⋊C4C2312yes—
433C22×C22⋊C4C2312yes—
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2312yes—
437#401C2312yes—
438#401C2314yes—
439#401C2312yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2312yes—
445#400C2312yes—
446#400C2312yes—
447#400C2312yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2312yes—
453#400C2312yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#399C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#397C2312yes—
489#397C2314yes—
490#397C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2312yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2312yes—
504#397C2314yes—
505#397C2314yes—
506#397C2312yes—
507#397C2312yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2312yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2312yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#395C2314yes—
532#395C2314yes—
533#395C2314yes—
534#395C2314yes—
535#395C2312yes—
536#395C2312yes—
537#394C2312yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2312yes—
557#394C2312yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2312yes—
563#394C2312yes—
564#394C2312yes—
565#393C2312yes—
566#393C2312yes—
567#392C2312yes—
568#392C2312yes—
569#392C2312yes—
570#392C2312yes—
571#392C2312yes—
572#392C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2311yescharacteristic
589#391C2311yescharacteristic
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2314yes—
596#390C2314yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2311yescharacteristic
603#390C2314yes—
604#390C2311yescharacteristic
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2312yes—
622#389C2314yes—
623#389C2314yes—
624#389C2314yes—
625#389C2314yes—
626#389C2314yes—
627#389C2314yes—
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2314yes—
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
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#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2312yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#384C2314yes—
744#384C2312yes—
745#384C2314yes—
746#384C2314yes—
747#384C2314yes—
748#384C2311yescharacteristic
749#384C2311yescharacteristic
750#383C2312yes—
751#383C2312yes—
752#383C2314yes—
753#382C2312yes—
754#382C2311yescharacteristic
755#382C2311yescharacteristic
756#381C2314yes—
757#381C2314yes—
758#381C2312yes—
759#381C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2314yes—
772#380C2314yes—
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2312yes—
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2312yes—
783#380C2314yes—
784#380C2314yes—
785#379C2312yes—
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789#379C2314yes—
790#379C2312yes—
791#379C2312yes—
792#379C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821#376C2312yes—
822C2×#95C2312yes—
823C2×#95C2311yescharacteristic
824C2×#95C2312yes—
825C2×#95C2312yes—
826C2×#95C2311yescharacteristic
827C43C2312yes—
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—44no—
840C2×#41—44no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—42no—
846C2×#41—42no—
847C2×#41—42no—
848C2×#41—42no—
849C2×#41—42no—
850C2×#41—42no—
851C2×#41—464no—
852C22×Q8—24no—
853C22×Q8—24no—
854C22×Q8—24no—
855C22×Q8—24no—
856C22×Q8—24no—
857C22×Q8—24no—
858C22×Q8—42no—
859C22×Q8—42no—
860C22×Q8—42no—
861C22×Q8C2412yes—
862C22×Q8C2412yes—
863C22×Q8C2412yes—
864C22×Q8C2412yes—
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×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C23×C4—24no—
891C23×C4—24no—
892C23×C4—24no—
893C23×C4—44no—
894C23×C4—44no—
895C23×C4—44no—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2414yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C4⋊Q8—44no—
918C4⋊Q8—44no—
919C4⋊Q8—44no—
920C4⋊Q8—44no—
921C4⋊Q8—42no—
922C4⋊Q8—42no—
923C4⋊Q8—44no—
924C4⋊Q8—44no—
925C4⋊Q8—44no—
926C4⋊Q8—44no—
927C4⋊Q8—44no—
928C4⋊Q8—44no—
929#127—42no—
930#127—42no—
931#126—28no—
932#126—44no—
933#126—48no—
934#124—42no—
935#124—42no—
936#124—42no—
937#124—42no—
938#124—44no—
939#124—44no—
940#124—44no—
941#124—44no—
942#124—44no—
943#124—44no—
944#123—44no—
945#123—48no—
946#123—48no—
947#123—48no—
948#123—48no—
949#123—48no—
950#123—48no—
951#123—48no—
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—42no—
961C22⋊Q8—42no—
962C22⋊Q8—44no—
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—
974#121—42no—
975#121—42no—
976#121—44no—
977#121—44no—
978#121—44no—
979#121—44no—
980#120—28no—
981#120—44no—
982#120—44no—
983C4×Q8—44no—
984C4×Q8—44no—
985C4×Q8—44no—
986C4×Q8—44no—
987C4×Q8—44no—
988C4×Q8—44no—
989C4×Q8—44no—
990C4×Q8—44no—
991C4×Q8—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—48no—
1000#117—24no—
1001#117—24no—
1002#117—24no—
1003#117—24no—
1004#117—24no—
1005#117—48no—
1006#117—44no—
1007C2×C4⋊C4—24no—
1008C2×C4⋊C4—24no—
1009C2×C4⋊C4—44no—
1010C2×C4⋊C4—44no—
1011C2×C4⋊C4—44no—
1012C2×C4⋊C4—44no—
1013C2×C4⋊C4—44no—
1014C2×C4⋊C4—44no—
1015C2×C4⋊C4—44no—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C22⋊C4—24no—
1080C2×C22⋊C4—42no—
1081C2×C22⋊C4—44no—
1082C2×C22⋊C4—44no—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C42—24no—
1152C2×C42—24no—
1153C2×C42—44no—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2414yes—
1170C2×C42C2414yes—
1171C2×C42C2414yes—
1172C2×C42C2414yes—
1173C2×C42C2414yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
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#95C2412yes—
1191#95C2412yes—
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#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
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—24no—
1245C24—41no—
1246C24—42no—
1247C24—42no—
1248C24—42no—
1249C24—41no—
1250C24—41no—
1251C24—42no—
1252C24—42no—
1253C24—42no—
1254C24C2511yescharacteristic
1255C24C2512yes—
1256C24C2512yes—
1257C24C2512yes—
1258C24C2511yescharacteristic
1259C24C2511yescharacteristic
1260#41—432no—
1261#41—416no—
1262#41—416no—
1263#41—432no—
1264#41—416no—
1265#41—416no—
1266#41—416no—
1267C2×Q8—24no—
1268C2×Q8—24no—
1269C2×Q8—24no—
1270C2×Q8—24no—
1271C2×Q8—22no—
1272C2×Q8—24no—
1273C2×Q8—24no—
1274C2×Q8—24no—
1275C2×Q8—24no—
1276C2×Q8—24no—
1277C2×Q8—24no—
1278C2×Q8—22no—
1279C2×Q8—24no—
1280C2×Q8—24no—
1281C2×Q8—22no—
1282C2×Q8—22no—
1283C2×Q8—22no—
1284C2×Q8—22no—
1285C2×Q8—22no—
1286C2×Q8—22no—
1287C2×Q8—22no—
1288C2×Q8—42no—
1289C2×Q8—42no—
1290C2×Q8—42no—
1291C2×Q8—416no—
1292C2×Q8—416no—
1293C2×Q8—416no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—24no—
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—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—432no—
1340C2×D4—416no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—42no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—42no—
1394C22×C4—41no—
1395C22×C4—42no—
1396C22×C4—41no—
1397C22×C4—42no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—432no—
1402C22×C4—416no—
1403C22×C4H(5,𝔽2)14yes—
1404C22×C4H(5,𝔽2)14yes—
1405C22×C4H(5,𝔽2)14yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2514yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2514yes—
1426C22×C4C2512yes—
1427C22×C4C2514yes—
1428C22×C4C2514yes—
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
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—22no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—28no—
1453C4⋊C4—24no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
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—44no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
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—42no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—22no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—24no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
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—44no—
1547C22⋊C4—44no—
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—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C42−1+414yes—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—24no—
1575C42—24no—
1576C42—24no—
1577C42—24no—
1578C42—24no—
1579C42—24no—
1580C42—24no—
1581C42—44no—
1582C42—44no—
1583C42—42no—
1584C42—42no—
1585C42—44no—
1586C42—44no—
1587C42—44no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—22no—
1599C23—22no—
1600C23—21no—
1601C23—21no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—21no—
1608C23—22no—
1609C23—22no—
1610C23—21no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—21no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—21no—
1624C23—21no—
1625C23—22no—
1626C23—44no—
1627C23—44no—
1628C23—44no—
1629C23—48no—
1630C23—44no—
1631C23—82no—
1632C23—82no—
1633C23—82no—
1634C23—84no—
1635C23—84no—
1636C23—84no—
1637C23—84no—
1638C23—84no—
1639C23—84no—
1640C23C2×H(5,𝔽2)12yes—
1641C23C2×H(5,𝔽2)12yes—
1642C23C2×H(5,𝔽2)12yes—
1643C23C2×2−1+412yes—
1644C23C2611yescharacteristic
1645Q8—48no—
1646Q8—48no—
1647Q8—48no—
1648Q8—48no—
1649Q8—48no—
1650Q8—44no—
1651Q8—44no—
1652Q8—44no—
1653D4—48no—
1654D4—48no—
1655D4—48no—
1656D4—48no—
1657D4—48no—
1658D4—48no—
1659D4—44no—
1660D4—44no—
1661D4—44no—
1662D4—84no—
1663D4—84no—
1664D4—84no—
1665D4—84no—
1666D4—84no—
1667D4—84no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—24no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—24no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—24no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—44no—
1747C2×C4—44no—
1748C2×C4—44no—
1749C2×C4—48no—
1750C2×C4—48no—
1751C2×C4—48no—
1752C2×C4—48no—
1753C2×C4—44no—
1754C2×C4—48no—
1755C2×C4—48no—
1756C2×C4—44no—
1757C2×C4—44no—
1758C2×C4—44no—
1759C2×C4—44no—
1760C2×C4—48no—
1761C2×C4—48no—
1762C2×C4—48no—
1763C2×C4—82no—
1764C2×C4—84no—
1765C2×C4—164no—
1766C2×C4#560116yes—
1767C2×C4C2×H(5,𝔽2)12yes—
1768C2×C4C2×H(5,𝔽2)12yes—
1769C2×C4C2×H(5,𝔽2)12yes—
1770C2×C4C2×H(5,𝔽2)12yes—
1771C2×C4C2×H(5,𝔽2)12yes—
1772C2×C4C2×H(5,𝔽2)12yes—
1773C2×C4C2×2−1+412yes—
1774C2×C4C2×2−1+412yes—
1775C2×C4#58512yes—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—42no—
1790C22—41no—
1791C22—42no—
1792C22—42no—
1793C22—41no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22—41no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—41no—
1806C22—41no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—41no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—41no—
1816C22—42no—
1817C22—88no—
1818C22—816no—
1819C22C2×#56014yes—
1820C22C22×H(5,𝔽2)11yescharacteristic
1821C22C22×H(5,𝔽2)11yescharacteristic
1822C22C22×H(5,𝔽2)11yescharacteristic
1823C22C22×2−1+411yescharacteristic
1824C22C2×#58511yescharacteristic
1825C222−1+611yescharacteristic
1826C222−1+611yescharacteristic
1827C4—22no—
1828C4—22no—
1829C4—22no—
1830C4—42no—
1831C4—42no—
1832C4—42no—
1833C4—42no—
1834C4—42no—
1835C4—42no—
1836C4—42no—
1837C4—44no—
1838C4—41no—
1839C4—41no—
1840C4—42no—
1841C4—42no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—42no—
1847C4—42no—
1848C4—42no—
1849C4—44no—
1850C4—44no—
1851C4—41no—
1852C4—44no—
1853C4—42no—
1854C4C2×#56014yes—
1855C4C2×#56014yes—
1856C2—24no—
1857C2—42no—
1858C2—82no—
1859C2—81no—
1860C2—82no—
1861C2—82no—
1862C2C22×#56011yescharacteristic
1863C2#6283511yescharacteristic
1864C2#6288811yescharacteristic
1865C2#6292511yescharacteristic
1866C2#6294211yescharacteristic
1867C2#6294211yescharacteristic
1868C2#6295411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34738C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53087C2semidirect
2. #53085C2semidirect
3. #53045C2semidirect
4. #53045C2semidirect
5. #53043C2semidirect
6. #53041C2semidirect
7. #53007C2semidirect
8. #53006C2semidirect
9. #52723C2semidirect
10. #52347C2semidirect
11. #46063C2semidirect
12. #46061C2semidirect
13. #46020C2semidirect
14. #46002C2semidirect
15. #45751C2semidirect
16. #45624C2semidirect
17. #45624C2semidirect
18. #45622C2semidirect
19. #45588C2semidirect
20. #45493C2semidirect
21. #35673C2semidirect
22. #35667C2semidirect
23. #35661C2semidirect
24. #35633C2semidirect
25. #35621C2semidirect
26. #35517C2semidirect
27. #35317C2semidirect
28. #35305C2semidirect
29. #35305C2semidirect
30. #35267C2semidirect
31. #35182C2semidirect
32. #35178C2semidirect
33. #34814C2semidirect
35. C2×#2429C2semidirect
41. C2×#536C22semidirect
42. C2×#536C22semidirect
45. C22×C4⋊Q8C22semidirect
49. C2×#520C22semidirect
50. C2×#519C22semidirect
51. C22×C4×Q8C22semidirect
52. #2868C22semidirect
53. #2863C22semidirect
54. #2860C22semidirect
55. #2858C22semidirect
56. #2854C22semidirect
57. #2853C22semidirect
62. #2843C22semidirect
64. #2841C22semidirect
65. #2838C22semidirect
66. #2838C22semidirect
67. #2837C22semidirect
68. #2837C22semidirect
69. #2837C22semidirect
70. #2837C22semidirect
71. #2837C22semidirect
72. #2837C22semidirect
73. #2834C22semidirect
74. #2829C22semidirect
75. #2829C22semidirect
76. #2829C22semidirect
77. #2829C22semidirect
79. #2827C22semidirect
80. #2826C22semidirect
81. #2823C22semidirect
82. #2807C22semidirect
83. #2807C22semidirect
84. #2807C22semidirect
85. #2803C22semidirect
86. #2803C22semidirect
87. #2801C22semidirect
88. #2801C22semidirect
90. #2796C22semidirect
91. #2795C22semidirect
92. #2795C22semidirect
93. #2795C22semidirect
94. #2792C22semidirect
95. #2792C22semidirect
96. #2792C22semidirect
100. #2790C22semidirect
101. #2790C22semidirect
102. #2790C22semidirect
104. #2780C22semidirect
105. #2757C22semidirect
106. #2757C22semidirect
107. #2756C22semidirect
108. #2756C22semidirect
109. #2752C22semidirect
110. #2748C22semidirect
112. #2746C22semidirect
113. #2742C22semidirect
117. #2705C22semidirect
118. #2705C22semidirect
122. #2658C22semidirect
123. #2658C22semidirect
124. #2645C22semidirect
125. #2644C22semidirect
126. #2623C22semidirect
127. #2618C22semidirect
132. #2548C22semidirect
133. #2547C22semidirect
134. #2546C22semidirect
135. #2546C22semidirect
136. #2546C22semidirect
137. #2546C22semidirect
138. #2545C22semidirect
139. #2545C22semidirect
140. #2545C22semidirect
141. #2545C22semidirect
142. #2545C22semidirect
143. #2544C22semidirect
144. #2542C22semidirect
145. #2542C22semidirect
146. #2542C22semidirect
147. #2542C22semidirect
149. #2538C22semidirect
150. #2538C22semidirect
151. #2538C22semidirect
153. #2536C22semidirect
154. #2536C22semidirect
155. #2536C22semidirect
157. #2510C22semidirect
158. #2501C22semidirect
159. #2501C22semidirect
160. #2498C22semidirect
161. #2498C22semidirect
163. #2497C22semidirect
164. #2497C22semidirect
166. #2496C22semidirect
167. #2496C22semidirect
169. #2495C22semidirect
170. #2495C22semidirect
172. #2494C22semidirect
173. #2494C22semidirect
174. #2493C22semidirect
175. #2493C22semidirect
176. #2487C22semidirect
177. #2486C22semidirect
178. #2486C22semidirect
179. #2485C22semidirect
180. #2485C22semidirect
181. #2481C22semidirect
184. #2448C22semidirect
185. #2448C22semidirect
186. #2448C22semidirect
187. #2448C22semidirect
188. #2448C22semidirect
189. #2447C22semidirect
190. #2446C22semidirect
191. #2446C22semidirect
192. #2446C22semidirect
193. #2446C22semidirect
194. #2446C22semidirect
195. #2445C22semidirect
196. #2444C22semidirect
197. #2443C22semidirect
222. #2429C22semidirect
223. #2429C22semidirect
224. #2429C22semidirect
225. #2429C22semidirect
226. #2429C22semidirect
227. #2429C22semidirect
228. #2429C22semidirect
229. #2429C22semidirect
230. #2429C22semidirect
231. #2429C22semidirect
233. #2427C22semidirect
235. #2426C22semidirect
236. #2425C22semidirect
237. #2425C22semidirect
238. #2423C22semidirect
239. #2423C22semidirect
240. #2423C22semidirect
241. #2423C22semidirect
242. #2421C22semidirect
243. #2421C22semidirect
244. #2421C22semidirect
245. #2421C22semidirect
247. #2417C22semidirect
248. #2417C22semidirect
249. #2417C22semidirect
251. #2415C22semidirect
252. #2415C22semidirect
253. #2415C22semidirect
254. #2413C22semidirect
255. #2413C22semidirect
256. #2413C22semidirect
265. #2401C22semidirect
266. C2×#398C22semidirect
271. #2383C22semidirect
272. #2376C22semidirect
274. #2317C22semidirect
275. #2316C22semidirect
280. #2311C22semidirect
281. #2310C22semidirect
283. C4×#126C22semidirect
288. #2296C22semidirect
289. #2296C22semidirect
290. C2×#391C22semidirect
291. C2×#389C22semidirect
292. C2×#389C22semidirect
294. #2285C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#530872
#530852
#530452
#530432
#530412
#530072
#530062
#527232
#523472
#460632
#460612
#460202
#460022
#457512
#456242
#456222
#455882
#454932
#356732
#356672
#356612
#356332
#356212
#355172
#353172
#353052
#352672
#351822
#351782
#348142
#347382
C2×#24292